Subgroups — C₁₃×#61163 #15747502

Order 3328.

2124 conjugacy classes of subgroups.

The subgroup lattice has 1436 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#552	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3327	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3323	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3317	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3315	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3312	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3310	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3300	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3296	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3142	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3093	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3092	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3080	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3056	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3056	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3037	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3007	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3007	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₁₃×#137	C₂	1	1	yes	maximal, characteristic, complemented
21	D₄×C₁₃×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2896	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₁₃×#417	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
25	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
29	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
30	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#552	—	2	1	no	—
32	C₁₃×#552	—	2	1	no	—
33	C₁₃×#552	—	2	1	no	—
34	C₁₃×#552	—	2	1	no	—
35	C₁₃×#552	C₂²	1	2	yes	—
36	C₁₃×#552	C₂²	1	2	yes	complemented
37	C₁₃×#552	C₂²	1	2	yes	complemented
38	C₁₃×#552	C₂²	1	2	yes	complemented
39	C₁₃×#550	C₂²	1	1	yes	characteristic
40	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
41	C₁₃×#548	C₂²	1	1	yes	characteristic
42	C₁₃×#548	C₂²	1	1	yes	characteristic
43	C₁₃×#547	—	2	1	no	—
44	C₁₃×#547	C₂²	1	1	yes	characteristic
45	C₁₃×#546	—	2	1	no	—
46	C₁₃×#546	—	2	1	no	—
47	C₁₃×#546	C₂²	1	1	yes	characteristic
48	C₁₃×#546	C₂²	1	1	yes	characteristic
49	D₄²×C₁₃	—	2	1	no	—
50	D₄²×C₁₃	C₂²	1	1	yes	characteristic
51	C₁₃×#532	—	2	1	no	—
52	C₁₃×#532	C₂²	1	1	yes	characteristic
53	C₂×C₁₃×#126	—	2	1	no	—
54	C₂×C₁₃×#125	—	2	1	no	—
55	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#525	—	2	1	no	—
57	C₁₃×#525	—	2	1	no	—
58	C₁₃×#525	C₂²	1	1	yes	characteristic
59	C₁₃×#525	C₂²	1	1	yes	characteristic
60	C₂×C₁₃×#123	—	2	1	no	—
61	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
63	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
64	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₄×D₄×C₁₃	—	2	1	no	—
66	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
67	C₂×C₁₃×#117	—	2	1	no	—
68	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
69	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#491	C₂²	1	2	yes	complemented
71	C₁₃×#490	C₂²	1	2	yes	complemented
72	C₁₃×#488	C₂²	1	2	yes	complemented
73	C₁₃×#488	C₂²	1	2	yes	complemented
74	C₁₃×#485	C₂²	1	2	yes	complemented
75	C₁₃×#485	C₂²	1	2	yes	complemented
76	C₁₃×#484	C₂²	1	2	yes	complemented
77	C₁₃×#483	C₂²	1	2	yes	complemented
78	C₁₃×#482	C₂²	1	2	yes	complemented
79	C₁₃×#482	C₂²	1	2	yes	complemented
80	C₁₃×#481	C₂²	1	2	yes	complemented
81	C₁₃×#480	C₂²	1	2	yes	complemented
82	C₁₃×#479	C₂²	1	2	yes	complemented
83	C₁₃×#479	C₂²	1	2	yes	complemented
84	C₁₃×#478	C₂²	1	2	yes	complemented
85	C₁₃×#478	C₂²	1	2	yes	complemented
86	C₁₃×#470	C₂²	1	2	yes	complemented
87	C₁₃×#470	C₂²	1	2	yes	complemented
88	C₁₃×#468	C₂²	1	2	yes	complemented
89	C₁₃×#468	C₂²	1	2	yes	complemented
90	C₁₃×#467	C₂²	1	2	yes	complemented
91	C₁₃×#467	C₂²	1	2	yes	complemented
92	C₁₃×#465	C₂²	1	2	yes	complemented
93	C₁₃×#465	C₂²	1	2	yes	complemented
94	C₁₃×#464	C₂²	1	2	yes	complemented
95	C₁₃×#464	C₂²	1	2	yes	complemented
96	C₁₃×#462	C₂²	1	2	yes	complemented
97	C₁₃×#460	C₂²	1	2	yes	complemented
98	C₁₃×#452	C₂²	1	2	yes	complemented
99	C₁₃×#452	C₂²	1	2	yes	complemented
100	C₁₃×#452	C₂²	1	2	yes	complemented
101	C₁₃×#452	C₂²	1	2	yes	complemented
102	C₁₃×#451	C₂²	1	2	yes	complemented
103	C₁₃×#451	C₂²	1	2	yes	complemented
104	C₁₃×#450	C₂²	1	2	yes	complemented
105	C₁₃×#450	C₂²	1	2	yes	complemented
106	C₁₃×#441	C₂²	1	2	yes	complemented
107	C₁₃×#440	C₂²	1	2	yes	complemented
108	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
109	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
110	C₁₃×#436	C₂²	1	2	yes	complemented
111	C₁₃×#435	C₂²	1	2	yes	—
112	C₁₃×#435	C₂²	1	2	yes	complemented
113	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
114	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#419	C₂²	1	2	yes	complemented
120	C₁₃×#418	C₂²	1	2	yes	complemented
121	C₁₃×#417	C₂²	1	1	yes	characteristic
122	C₁₃×#417	C₂²	1	1	yes	characteristic
123	C₁₃×#417	C₂²	1	1	yes	characteristic
124	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#417	C₂²	1	2	yes	complemented
131	C₁₃×#417	C₂²	1	2	yes	complemented
132	C₁₃×#416	C₂²	1	2	yes	complemented
133	C₁₃×#416	C₂²	1	2	yes	complemented
134	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
135	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
136	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
138	C₄×C₁₃×M₁₆	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	—	2	1	no	—
143	C₂×C₁₃×#41	—	2	4	no	—
144	C₂×C₁₃×#41	—	2	4	no	—
145	C₂×C₁₃×#41	—	4	2	no	—
146	C₂×C₁₃×#41	—	4	2	no	—
147	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
154	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
155	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
156	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	C₂³×C₄×C₁₃	—	2	1	no	—
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	—	2	4	no	—
169	C₁₃×#137	—	4	2	no	—
170	C₁₃×#137	—	4	2	no	—
171	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
172	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
173	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
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×M₁₆	—	4	2	no	—
178	C₂×C₁₃×M₁₆	—	4	2	no	—
179	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
180	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
181	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
182	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
183	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
184	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
185	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
186	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
187	C₁₃×C₄⋊Q₈	—	2	1	no	—
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	2	no	—
192	C₁₃×#126	—	2	2	no	—
193	C₁₃×#126	—	2	2	no	—
194	C₁₃×#126	—	2	2	no	—
195	C₁₃×#125	—	2	2	no	—
196	C₁₃×#125	—	2	2	no	—
197	C₁₃×#125	—	2	2	no	—
198	C₁₃×#125	—	2	2	no	—
199	C₁₃×#125	—	2	1	no	—
200	C₁₃×#125	—	2	1	no	—
201	C₁₃×#125	C₂³	1	2	yes	—
202	C₁₃×#125	C₂³	1	2	yes	—
203	C₁₃×#124	—	2	1	no	—
204	C₁₃×#124	—	2	1	no	—
205	C₁₃×#124	C₂³	1	1	yes	characteristic
206	C₁₃×#124	C₂³	1	1	yes	characteristic
207	C₁₃×#123	—	2	2	no	—
208	C₁₃×#123	—	2	2	no	—
209	C₁₃×#123	—	2	2	no	—
210	C₁₃×#123	—	2	2	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×#123	—	2	1	no	—
216	C₁₃×#123	—	2	1	no	—
217	C₁₃×C₂²⋊Q₈	—	2	1	no	—
218	C₁₃×C₂²⋊Q₈	—	2	1	no	—
219	C₁₃×C₂²⋊Q₈	—	2	1	no	—
220	C₁₃×C₂²⋊Q₈	—	2	1	no	—
221	C₁₃×C₂²⋊Q₈	—	2	1	no	—
222	C₁₃×C₂²⋊Q₈	—	2	1	no	—
223	C₁₃×C₂²⋊Q₈	—	2	1	no	—
224	C₁₃×C₂²⋊Q₈	—	2	1	no	—
225	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
226	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
227	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
228	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
229	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
230	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
231	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
232	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
244	C₁₃×#121	C₂³	1	1	yes	characteristic
245	C₁₃×#121	C₂³	1	1	yes	characteristic
246	C₁₃×#121	C₂³	1	1	yes	characteristic
247	C₁₃×#120	—	2	1	no	—
248	C₁₃×#120	—	2	1	no	—
249	C₁₃×#120	—	2	1	no	—
250	C₁₃×#120	—	2	1	no	—
251	C₁₃×#120	—	2	1	no	—
252	C₁₃×#120	—	2	1	no	—
253	C₄×Q₈×C₁₃	—	2	1	no	—
254	C₄×Q₈×C₁₃	—	2	1	no	—
255	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
256	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
257	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
258	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	—	2	1	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	C₂³	1	1	yes	characteristic
276	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
277	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
278	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
279	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
280	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
281	C₁₃×#117	—	2	1	no	—
282	C₁₃×#117	—	2	1	no	—
283	C₁₃×#117	—	2	2	no	—
284	C₁₃×#117	—	2	2	no	—
285	C₁₃×#117	—	2	2	no	—
286	C₁₃×#117	—	2	2	no	—
287	C₁₃×#117	—	2	1	no	—
288	C₁₃×#117	C₂³	1	2	yes	—
289	C₁₃×#117	C₂³	1	2	yes	—
290	C₁₃×#117	C₂³	1	1	yes	characteristic
291	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
292	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
293	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
294	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
295	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
296	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
297	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
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	2	yes	—
302	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
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	D₄	1	1	yes	characteristic
312	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
313	C₂×C₄²×C₁₃	—	2	1	no	—
314	C₂×C₄²×C₁₃	—	2	1	no	—
315	C₂×C₄²×C₁₃	—	2	1	no	—
316	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
317	C₁₃×#107	C₂³	1	2	yes	—
318	C₁₃×#107	C₂³	1	2	yes	—
319	C₁₃×#107	C₂³	1	2	yes	—
320	C₁₃×#106	C₂³	1	2	yes	—
321	C₁₃×#106	C₂³	1	2	yes	—
322	C₁₃×#106	C₂³	1	2	yes	—
323	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
324	C₁₃×C₄⋊C₈	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×#103	C₂³	1	2	yes	—
332	C₁₃×#103	C₂³	1	2	yes	—
333	C₁₃×#103	C₂³	1	2	yes	—
334	C₁₃×#103	C₂³	1	2	yes	—
335	C₁₃×#103	C₂³	1	2	yes	—
336	C₁₃×#102	C₂³	1	2	yes	—
337	C₁₃×#102	C₂³	1	2	yes	—
338	C₁₃×#102	C₂³	1	2	yes	—
339	C₁₃×#102	C₂³	1	2	yes	—
340	C₁₃×#102	C₂³	1	2	yes	—
341	C₁₃×#102	C₂³	1	2	yes	—
342	C₁₃×#102	C₂³	1	2	yes	—
343	C₁₃×#102	C₂³	1	2	yes	—
344	C₁₃×#102	C₂³	1	2	yes	—
345	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
346	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
347	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
348	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
349	C₁₃×#97	C₂³	1	2	yes	—
350	C₄×C₈×C₁₃	C₂³	1	2	yes	—
351	#61163	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
352	C₂⁴×C₁₃	—	2	1	no	—
353	C₂⁴×C₁₃	—	2	1	no	—
354	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
355	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
356	C₁₃×#41	—	2	2	no	—
357	C₁₃×#41	—	2	2	no	—
358	C₁₃×#41	—	2	2	no	—
359	C₁₃×#41	—	2	2	no	—
360	C₁₃×#41	—	2	2	no	—
361	C₁₃×#41	—	2	2	no	—
362	C₁₃×#41	—	2	2	no	—
363	C₁₃×#41	—	2	2	no	—
364	C₁₃×#41	—	2	2	no	—
365	C₁₃×#41	—	4	4	no	—
366	C₁₃×#41	—	4	4	no	—
367	C₁₃×#41	—	4	1	no	—
368	C₁₃×#41	—	4	1	no	—
369	C₁₃×#41	—	4	1	no	—
370	C₁₃×#41	—	4	1	no	—
371	C₁₃×#41	—	4	4	no	—
372	C₁₃×#41	—	4	4	no	—
373	C₁₃×#41	#41	1	4	yes	—
374	C₂×Q₈×C₁₃	—	2	1	no	—
375	C₂×Q₈×C₁₃	—	2	1	no	—
376	C₂×Q₈×C₁₃	—	2	1	no	—
377	C₂×Q₈×C₁₃	—	2	2	no	—
378	C₂×Q₈×C₁₃	—	2	2	no	—
379	C₂×Q₈×C₁₃	—	2	2	no	—
380	C₂×Q₈×C₁₃	—	2	2	no	—
381	C₂×Q₈×C₁₃	—	4	1	no	—
382	C₂×Q₈×C₁₃	—	4	1	no	—
383	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
386	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂×D₄×C₁₃	—	2	1	no	—
388	C₂×D₄×C₁₃	—	2	2	no	—
389	C₂×D₄×C₁₃	—	2	2	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	—	2	1	no	—
401	C₂×D₄×C₁₃	—	2	1	no	—
402	C₂×D₄×C₁₃	—	2	1	no	—
403	C₂×D₄×C₁₃	—	2	1	no	—
404	C₂×D₄×C₁₃	—	4	1	no	—
405	C₂×D₄×C₁₃	—	4	1	no	—
406	C₂×D₄×C₁₃	—	4	2	no	—
407	C₂×D₄×C₁₃	—	4	4	no	—
408	C₂×D₄×C₁₃	—	4	4	no	—
409	C₂×D₄×C₁₃	—	4	4	no	—
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	C₂×D₄	1	1	yes	characteristic
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	2	no	—
419	C₂²×C₄×C₁₃	—	2	2	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	1	no	—
426	C₂²×C₄×C₁₃	—	2	2	no	—
427	C₂²×C₄×C₁₃	—	2	2	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	—	2	1	no	—
432	C₂²×C₄×C₁₃	—	2	1	no	—
433	C₂²×C₄×C₁₃	—	2	1	no	—
434	C₂²×C₄×C₁₃	—	2	1	no	—
435	C₂²×C₄×C₁₃	—	2	1	no	—
436	C₂²×C₄×C₁₃	—	2	1	no	—
437	C₂²×C₄×C₁₃	—	2	1	no	—
438	C₂²×C₄×C₁₃	—	4	4	no	—
439	C₂²×C₄×C₁₃	—	4	4	no	—
440	C₂²×C₄×C₁₃	—	4	4	no	—
441	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
442	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
443	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
444	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
445	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
446	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
447	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
448	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
449	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
454	C₁₃×Q₁₆	—	2	4	no	—
455	C₁₃×Q₁₆	—	4	2	no	—
456	C₁₃×Q₁₆	—	4	2	no	—
457	C₁₃×SD₁₆	—	2	4	no	—
458	C₁₃×SD₁₆	—	4	2	no	—
459	C₁₃×SD₁₆	—	4	2	no	—
460	C₁₃×M₁₆	—	2	2	no	—
461	C₁₃×M₁₆	—	2	2	no	—
462	C₁₃×M₁₆	—	2	2	no	—
463	C₁₃×M₁₆	—	2	2	no	—
464	C₁₃×M₁₆	—	4	2	no	—
465	C₁₃×M₁₆	—	4	2	no	—
466	C₂×C₈×C₁₃	—	4	2	no	—
467	C₂×C₈×C₁₃	—	4	2	no	—
468	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
469	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
470	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
471	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
472	C₁₃×C₄⋊C₄	—	2	1	no	—
473	C₁₃×C₄⋊C₄	—	2	1	no	—
474	C₁₃×C₄⋊C₄	—	2	2	no	—
475	C₁₃×C₄⋊C₄	—	2	2	no	—
476	C₁₃×C₄⋊C₄	—	2	2	no	—
477	C₁₃×C₄⋊C₄	—	2	2	no	—
478	C₁₃×C₄⋊C₄	—	2	2	no	—
479	C₁₃×C₄⋊C₄	—	2	2	no	—
480	C₁₃×C₄⋊C₄	—	2	1	no	—
481	C₁₃×C₄⋊C₄	—	2	1	no	—
482	C₁₃×C₄⋊C₄	—	2	1	no	—
483	C₁₃×C₄⋊C₄	—	2	2	no	—
484	C₁₃×C₄⋊C₄	—	2	2	no	—
485	C₁₃×C₄⋊C₄	—	2	2	no	—
486	C₁₃×C₄⋊C₄	—	2	2	no	—
487	C₁₃×C₄⋊C₄	—	2	2	no	—
488	C₁₃×C₄⋊C₄	—	2	2	no	—
489	C₁₃×C₄⋊C₄	—	2	1	no	—
490	C₁₃×C₄⋊C₄	—	2	1	no	—
491	C₁₃×C₄⋊C₄	—	2	1	no	—
492	C₁₃×C₄⋊C₄	—	2	1	no	—
493	C₁₃×C₄⋊C₄	—	2	1	no	—
494	C₁₃×C₄⋊C₄	—	2	1	no	—
495	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
496	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
497	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
498	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
499	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
500	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
501	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
502	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
503	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
504	C₁₃×C₂²⋊C₄	—	2	2	no	—
505	C₁₃×C₂²⋊C₄	—	2	2	no	—
506	C₁₃×C₂²⋊C₄	—	2	2	no	—
507	C₁₃×C₂²⋊C₄	—	2	2	no	—
508	C₁₃×C₂²⋊C₄	—	2	1	no	—
509	C₁₃×C₂²⋊C₄	—	2	1	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	—	2	1	no	—
519	C₁₃×C₂²⋊C₄	—	2	1	no	—
520	C₁₃×C₂²⋊C₄	—	2	1	no	—
521	C₁₃×C₂²⋊C₄	—	2	1	no	—
522	C₁₃×C₂²⋊C₄	—	2	1	no	—
523	C₁₃×C₂²⋊C₄	—	2	1	no	—
524	C₁₃×C₂²⋊C₄	—	2	1	no	—
525	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
526	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
527	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
528	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
529	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
530	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
531	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
532	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
533	C₄²×C₁₃	—	2	2	no	—
534	C₄²×C₁₃	—	2	2	no	—
535	C₄²×C₁₃	—	2	2	no	—
536	C₄²×C₁₃	—	2	2	no	—
537	C₄²×C₁₃	—	2	1	no	—
538	C₄²×C₁₃	—	2	1	no	—
539	C₄²×C₁₃	—	2	1	no	—
540	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
541	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
542	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
543	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
544	C₂×#552	C₂×C₁₃	1	1	yes	characteristic, complemented
545	D₄×#41	C₂×C₁₃	1	1	yes	characteristic
546	#3327	C₂×C₁₃	1	2	yes	complemented
547	#3323	C₂×C₁₃	1	2	yes	complemented
548	#3317	C₂×C₁₃	1	2	yes	complemented
549	#3315	C₂×C₁₃	1	2	yes	complemented
550	#3312	C₂×C₁₃	1	2	yes	complemented
551	#3310	C₂×C₁₃	1	2	yes	complemented
552	#3300	C₂×C₁₃	1	2	yes	complemented
553	#3296	C₂×C₁₃	1	2	yes	complemented
554	#3142	C₂×C₁₃	1	1	yes	characteristic, complemented
555	#3093	C₂×C₁₃	1	1	yes	characteristic, complemented
556	#3092	C₂×C₁₃	1	1	yes	characteristic, complemented
557	#3080	C₂×C₁₃	1	1	yes	characteristic, complemented
558	#3056	C₂×C₁₃	1	1	yes	characteristic, complemented
559	#3056	C₂×C₁₃	1	1	yes	characteristic, complemented
560	#3037	C₂×C₁₃	1	1	yes	characteristic, complemented
561	#3007	C₂×C₁₃	1	1	yes	characteristic, complemented
562	#3007	C₂×C₁₃	1	1	yes	characteristic, complemented
563	C₄×#137	C₂×C₁₃	1	1	yes	characteristic, complemented
564	D₄×M₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
565	#2896	C₂×C₁₃	1	1	yes	characteristic, complemented
566	C₂×#417	C₂×C₁₃	1	1	yes	characteristic, complemented
567	C₂³×C₁₃	—	2	2	no	—
568	C₂³×C₁₃	—	2	2	no	—
569	C₂³×C₁₃	—	2	1	no	—
570	C₂³×C₁₃	—	2	2	no	—
571	C₂³×C₁₃	—	2	1	no	—
572	C₂³×C₁₃	—	2	1	no	—
573	C₂³×C₁₃	—	4	1	no	—
574	C₂³×C₁₃	—	4	1	no	—
575	C₂³×C₁₃	—	4	1	no	—
576	C₂³×C₁₃	—	4	2	no	—
577	C₂³×C₁₃	—	4	2	no	—
578	C₂³×C₁₃	—	4	2	no	—
579	C₂³×C₁₃	—	4	2	no	—
580	C₂³×C₁₃	—	8	1	no	—
581	C₂³×C₁₃	—	8	1	no	—
582	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
583	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
584	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
585	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
586	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
587	Q₈×C₁₃	—	2	1	no	—
588	Q₈×C₁₃	—	2	2	no	—
589	Q₈×C₁₃	—	2	1	no	—
590	Q₈×C₁₃	—	2	1	no	—
591	Q₈×C₁₃	—	2	2	no	—
592	Q₈×C₁₃	—	2	1	no	—
593	Q₈×C₁₃	—	2	1	no	—
594	Q₈×C₁₃	—	4	2	no	—
595	Q₈×C₁₃	—	4	2	no	—
596	Q₈×C₁₃	—	4	2	no	—
597	Q₈×C₁₃	C₂×#41	1	2	yes	—
598	D₄×C₁₃	—	2	4	no	—
599	D₄×C₁₃	—	2	2	no	—
600	D₄×C₁₃	—	2	2	no	—
601	D₄×C₁₃	—	2	1	no	—
602	D₄×C₁₃	—	2	1	no	—
603	D₄×C₁₃	—	2	1	no	—
604	D₄×C₁₃	—	2	1	no	—
605	D₄×C₁₃	—	2	1	no	—
606	D₄×C₁₃	—	4	1	no	—
607	D₄×C₁₃	—	4	1	no	—
608	D₄×C₁₃	—	4	2	no	—
609	D₄×C₁₃	—	4	2	no	—
610	D₄×C₁₃	—	4	2	no	—
611	D₄×C₁₃	—	4	2	no	—
612	D₄×C₁₃	—	4	2	no	—
613	D₄×C₁₃	—	4	2	no	—
614	D₄×C₁₃	—	4	2	no	—
615	D₄×C₁₃	—	4	2	no	—
616	D₄×C₁₃	—	4	2	no	—
617	D₄×C₁₃	—	4	2	no	—
618	D₄×C₁₃	—	4	2	no	—
619	D₄×C₁₃	—	8	1	no	—
620	D₄×C₁₃	—	8	1	no	—
621	D₄×C₁₃	—	8	1	no	—
622	D₄×C₁₃	C₂×#41	1	2	yes	—
623	C₂×C₄×C₁₃	—	2	2	no	—
624	C₂×C₄×C₁₃	—	2	2	no	—
625	C₂×C₄×C₁₃	—	2	1	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	2	no	—
630	C₂×C₄×C₁₃	—	2	4	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	1	no	—
636	C₂×C₄×C₁₃	—	2	1	no	—
637	C₂×C₄×C₁₃	—	2	1	no	—
638	C₂×C₄×C₁₃	—	2	1	no	—
639	C₂×C₄×C₁₃	—	2	2	no	—
640	C₂×C₄×C₁₃	—	2	1	no	—
641	C₂×C₄×C₁₃	—	2	1	no	—
642	C₂×C₄×C₁₃	—	2	2	no	—
643	C₂×C₄×C₁₃	—	2	2	no	—
644	C₂×C₄×C₁₃	—	2	1	no	—
645	C₂×C₄×C₁₃	—	2	1	no	—
646	C₂×C₄×C₁₃	—	2	2	no	—
647	C₂×C₄×C₁₃	—	4	1	no	—
648	C₂×C₄×C₁₃	—	4	1	no	—
649	C₂×C₄×C₁₃	—	4	2	no	—
650	C₂×C₄×C₁₃	—	4	2	no	—
651	C₂×C₄×C₁₃	—	4	2	no	—
652	C₂×C₄×C₁₃	—	4	2	no	—
653	C₂×C₄×C₁₃	—	4	2	no	—
654	C₂×C₄×C₁₃	—	4	2	no	—
655	C₂×C₄×C₁₃	—	4	2	no	—
656	C₂×C₄×C₁₃	—	4	2	no	—
657	C₂×C₄×C₁₃	—	4	2	no	—
658	C₂×C₄×C₁₃	—	4	2	no	—
659	C₂×C₄×C₁₃	—	4	4	no	—
660	C₂×C₄×C₁₃	—	4	2	no	—
661	C₂×C₄×C₁₃	—	4	4	no	—
662	C₂×C₄×C₁₃	—	4	2	no	—
663	C₂×C₄×C₁₃	—	4	2	no	—
664	C₂×C₄×C₁₃	—	8	1	no	—
665	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
666	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
667	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
668	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
669	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
670	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
671	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
672	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
673	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
674	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
675	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
676	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
677	C₈×C₁₃	—	2	2	no	—
678	C₈×C₁₃	—	2	2	no	—
679	C₈×C₁₃	—	2	2	no	—
680	C₈×C₁₃	—	2	2	no	—
681	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
682	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
683	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
684	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
685	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
686	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
687	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
688	#552	—	2	1	no	—
689	#552	—	2	1	no	—
690	#552	—	2	1	no	—
691	#552	—	2	1	no	—
692	#552	C₂²×C₁₃	1	2	yes	—
693	#552	C₂²×C₁₃	1	2	yes	complemented
694	#552	C₂²×C₁₃	1	2	yes	complemented
695	#552	C₂²×C₁₃	1	2	yes	complemented
696	#550	C₂²×C₁₃	1	1	yes	characteristic
697	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
698	#548	C₂²×C₁₃	1	1	yes	characteristic
699	#548	C₂²×C₁₃	1	1	yes	characteristic
700	#547	—	2	1	no	—
701	#547	C₂²×C₁₃	1	1	yes	characteristic
702	#546	—	2	1	no	—
703	#546	—	2	1	no	—
704	#546	C₂²×C₁₃	1	1	yes	characteristic
705	#546	C₂²×C₁₃	1	1	yes	characteristic
706	D₄²	—	2	1	no	—
707	D₄²	C₂²×C₁₃	1	1	yes	characteristic
708	#532	—	2	1	no	—
709	#532	C₂²×C₁₃	1	1	yes	characteristic
710	C₂×#126	—	2	1	no	—
711	C₂×#125	—	2	1	no	—
712	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
713	#525	—	2	1	no	—
714	#525	—	2	1	no	—
715	#525	C₂²×C₁₃	1	1	yes	characteristic
716	#525	C₂²×C₁₃	1	1	yes	characteristic
717	C₂×#123	—	2	1	no	—
718	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
719	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
720	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
721	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
722	C₂×C₄×D₄	—	2	1	no	—
723	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
724	C₂×#117	—	2	1	no	—
725	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
726	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
727	#491	C₂²×C₁₃	1	2	yes	complemented
728	#490	C₂²×C₁₃	1	2	yes	complemented
729	#488	C₂²×C₁₃	1	2	yes	complemented
730	#488	C₂²×C₁₃	1	2	yes	complemented
731	#485	C₂²×C₁₃	1	2	yes	complemented
732	#485	C₂²×C₁₃	1	2	yes	complemented
733	#484	C₂²×C₁₃	1	2	yes	complemented
734	#483	C₂²×C₁₃	1	2	yes	complemented
735	#482	C₂²×C₁₃	1	2	yes	complemented
736	#482	C₂²×C₁₃	1	2	yes	complemented
737	#481	C₂²×C₁₃	1	2	yes	complemented
738	#480	C₂²×C₁₃	1	2	yes	complemented
739	#479	C₂²×C₁₃	1	2	yes	complemented
740	#479	C₂²×C₁₃	1	2	yes	complemented
741	#478	C₂²×C₁₃	1	2	yes	complemented
742	#478	C₂²×C₁₃	1	2	yes	complemented
743	#470	C₂²×C₁₃	1	2	yes	complemented
744	#470	C₂²×C₁₃	1	2	yes	complemented
745	#468	C₂²×C₁₃	1	2	yes	complemented
746	#468	C₂²×C₁₃	1	2	yes	complemented
747	#467	C₂²×C₁₃	1	2	yes	complemented
748	#467	C₂²×C₁₃	1	2	yes	complemented
749	#465	C₂²×C₁₃	1	2	yes	complemented
750	#465	C₂²×C₁₃	1	2	yes	complemented
751	#464	C₂²×C₁₃	1	2	yes	complemented
752	#464	C₂²×C₁₃	1	2	yes	complemented
753	#462	C₂²×C₁₃	1	2	yes	complemented
754	#460	C₂²×C₁₃	1	2	yes	complemented
755	#452	C₂²×C₁₃	1	2	yes	complemented
756	#452	C₂²×C₁₃	1	2	yes	complemented
757	#452	C₂²×C₁₃	1	2	yes	complemented
758	#452	C₂²×C₁₃	1	2	yes	complemented
759	#451	C₂²×C₁₃	1	2	yes	complemented
760	#451	C₂²×C₁₃	1	2	yes	complemented
761	#450	C₂²×C₁₃	1	2	yes	complemented
762	#450	C₂²×C₁₃	1	2	yes	complemented
763	#441	C₂²×C₁₃	1	2	yes	complemented
764	#440	C₂²×C₁₃	1	2	yes	complemented
765	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
766	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
767	#436	C₂²×C₁₃	1	2	yes	complemented
768	#435	C₂²×C₁₃	1	2	yes	—
769	#435	C₂²×C₁₃	1	2	yes	complemented
770	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
771	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
772	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
773	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
774	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
775	#419	C₂²×C₁₃	1	2	yes	complemented
776	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
777	#418	C₂²×C₁₃	1	2	yes	complemented
778	#417	C₂²×C₁₃	1	1	yes	characteristic
779	#417	C₂²×C₁₃	1	1	yes	characteristic
780	#417	C₂²×C₁₃	1	1	yes	characteristic
781	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
782	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
783	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
784	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
785	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
786	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
787	#417	C₂²×C₁₃	1	2	yes	complemented
788	#417	C₂²×C₁₃	1	2	yes	complemented
789	#416	C₂²×C₁₃	1	2	yes	complemented
790	#416	C₂²×C₁₃	1	2	yes	complemented
791	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
792	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
793	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
794	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
795	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
796	C₂²×C₁₃	—	2	1	no	—
797	C₂²×C₁₃	—	2	1	no	—
798	C₂²×C₁₃	—	2	1	no	—
799	C₂²×C₁₃	—	2	1	no	—
800	C₂²×C₁₃	—	2	1	no	—
801	C₂²×C₁₃	—	2	1	no	—
802	C₂²×C₁₃	—	2	1	no	—
803	C₂²×C₁₃	—	2	1	no	—
804	C₂²×C₁₃	—	2	1	no	—
805	C₂²×C₁₃	—	2	1	no	—
806	C₂²×C₁₃	—	2	2	no	—
807	C₂²×C₁₃	—	2	1	no	—
808	C₂²×C₁₃	—	2	1	no	—
809	C₂²×C₁₃	—	2	1	no	—
810	C₂²×C₁₃	—	4	4	no	—
811	C₂²×C₁₃	—	4	1	no	—
812	C₂²×C₁₃	—	4	1	no	—
813	C₂²×C₁₃	—	4	1	no	—
814	C₂²×C₁₃	—	4	1	no	—
815	C₂²×C₁₃	—	4	1	no	—
816	C₂²×C₁₃	—	4	1	no	—
817	C₂²×C₁₃	—	4	1	no	—
818	C₂²×C₁₃	—	4	1	no	—
819	C₂²×C₁₃	—	8	2	no	—
820	C₂²×C₁₃	—	8	4	no	—
821	C₂²×C₁₃	—	8	4	no	—
822	C₂²×C₁₃	#546	1	2	yes	—
823	C₂²×C₁₃	#575	1	2	yes	—
824	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
825	C₄×C₁₃	—	2	1	no	—
826	C₄×C₁₃	—	2	1	no	—
827	C₄×C₁₃	—	2	1	no	—
828	C₄×C₁₃	—	2	1	no	—
829	C₄×C₁₃	—	2	1	no	—
830	C₄×C₁₃	—	2	1	no	—
831	C₄×C₁₃	—	2	2	no	—
832	C₄×C₁₃	—	2	1	no	—
833	C₄×C₁₃	—	2	1	no	—
834	C₄×C₁₃	—	4	2	no	—
835	C₄×C₁₃	—	4	1	no	—
836	C₄×C₁₃	—	4	1	no	—
837	C₄×C₁₃	—	4	1	no	—
838	C₄×C₁₃	—	4	2	no	—
839	C₄×C₁₃	—	4	2	no	—
840	C₄×C₁₃	—	4	2	no	—
841	C₄×C₁₃	—	4	1	no	—
842	C₄×C₁₃	#546	1	2	yes	—
843	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
844	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
845	C₂×#41	—	2	1	no	—
846	C₂×#41	—	2	1	no	—
847	C₂×#41	—	2	1	no	—
848	C₂×#41	—	2	1	no	—
849	C₂×#41	—	2	4	no	—
850	C₂×#41	—	2	4	no	—
851	C₂×#41	—	4	2	no	—
852	C₂×#41	—	4	2	no	—
853	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
854	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
855	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
856	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
857	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
858	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
859	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
860	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
861	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
862	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
863	C₂²×D₄	—	2	1	no	—
864	C₂²×D₄	—	2	1	no	—
865	C₂²×D₄	—	2	1	no	—
866	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
867	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
868	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
869	C₂³×C₄	—	2	1	no	—
870	C₂³×C₄	—	2	1	no	—
871	C₂³×C₄	—	2	1	no	—
872	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
873	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
874	#137	—	2	4	no	—
875	#137	—	4	2	no	—
876	#137	—	4	2	no	—
877	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
878	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
879	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
880	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
881	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
882	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
883	C₂×M₁₆	—	4	2	no	—
884	C₂×M₁₆	—	4	2	no	—
885	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
886	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
887	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
888	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
889	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
890	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
891	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
892	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
893	C₄⋊Q₈	—	2	1	no	—
894	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
895	#127	—	2	1	no	—
896	#127	C₂³×C₁₃	1	1	yes	characteristic
897	#126	—	2	2	no	—
898	#126	—	2	2	no	—
899	#126	—	2	2	no	—
900	#126	—	2	2	no	—
901	#125	—	2	2	no	—
902	#125	—	2	2	no	—
903	#125	—	2	2	no	—
904	#125	—	2	2	no	—
905	#125	—	2	1	no	—
906	#125	—	2	1	no	—
907	#125	C₂³×C₁₃	1	2	yes	—
908	#125	C₂³×C₁₃	1	2	yes	—
909	#124	—	2	1	no	—
910	#124	—	2	1	no	—
911	#124	C₂³×C₁₃	1	1	yes	characteristic
912	#124	C₂³×C₁₃	1	1	yes	characteristic
913	#123	—	2	2	no	—
914	#123	—	2	2	no	—
915	#123	—	2	2	no	—
916	#123	—	2	2	no	—
917	#123	—	2	1	no	—
918	#123	—	2	1	no	—
919	#123	—	2	1	no	—
920	#123	—	2	1	no	—
921	#123	—	2	1	no	—
922	#123	—	2	1	no	—
923	C₂²⋊Q₈	—	2	1	no	—
924	C₂²⋊Q₈	—	2	1	no	—
925	C₂²⋊Q₈	—	2	1	no	—
926	C₂²⋊Q₈	—	2	1	no	—
927	C₂²⋊Q₈	—	2	1	no	—
928	C₂²⋊Q₈	—	2	1	no	—
929	C₂²⋊Q₈	—	2	1	no	—
930	C₂²⋊Q₈	—	2	1	no	—
931	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
932	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
933	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
934	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
935	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
936	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
937	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
938	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
945	#121	—	2	1	no	—
946	#121	—	2	1	no	—
947	#121	—	2	1	no	—
948	#121	—	2	1	no	—
949	#121	C₂³×C₁₃	1	1	yes	characteristic
950	#121	C₂³×C₁₃	1	1	yes	characteristic
951	#121	C₂³×C₁₃	1	1	yes	characteristic
952	#121	C₂³×C₁₃	1	1	yes	characteristic
953	#120	—	2	1	no	—
954	#120	—	2	1	no	—
955	#120	—	2	1	no	—
956	#120	—	2	1	no	—
957	#120	—	2	1	no	—
958	#120	—	2	1	no	—
959	C₄×Q₈	—	2	1	no	—
960	C₄×Q₈	—	2	1	no	—
961	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
962	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
963	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
964	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
965	C₄×D₄	—	2	1	no	—
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	1	no	—
974	C₄×D₄	—	2	1	no	—
975	C₄×D₄	—	2	1	no	—
976	C₄×D₄	—	2	1	no	—
977	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
978	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
979	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
980	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
981	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
982	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
983	C₄×D₄	C₂³×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	#117	—	2	1	no	—
988	#117	—	2	1	no	—
989	#117	—	2	2	no	—
990	#117	—	2	2	no	—
991	#117	—	2	2	no	—
992	#117	—	2	2	no	—
993	#117	—	2	1	no	—
994	#117	C₂³×C₁₃	1	2	yes	—
995	#117	C₂³×C₁₃	1	2	yes	—
996	#117	C₂³×C₁₃	1	1	yes	characteristic
997	C₂×C₄⋊C₄	—	2	1	no	—
998	C₂×C₄⋊C₄	—	2	1	no	—
999	C₂×C₄⋊C₄	—	2	1	no	—
1000	C₂×C₄⋊C₄	—	2	1	no	—
1001	C₂×C₄⋊C₄	—	2	1	no	—
1002	C₂×C₄⋊C₄	—	2	1	no	—
1003	C₂×C₄⋊C₄	—	2	1	no	—
1004	C₂×C₄⋊C₄	—	2	1	no	—
1005	C₂×C₄⋊C₄	—	2	1	no	—
1006	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1009	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1010	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1011	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	—	2	1	no	—
1013	C₂×C₂²⋊C₄	—	2	1	no	—
1014	C₂×C₂²⋊C₄	—	2	1	no	—
1015	C₂×C₂²⋊C₄	—	2	1	no	—
1016	C₂×C₂²⋊C₄	—	2	1	no	—
1017	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1019	C₂×C₄²	—	2	1	no	—
1020	C₂×C₄²	—	2	1	no	—
1021	C₂×C₄²	—	2	1	no	—
1022	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1023	#107	C₂³×C₁₃	1	2	yes	—
1024	#107	C₂³×C₁₃	1	2	yes	—
1025	#107	C₂³×C₁₃	1	2	yes	—
1026	#106	C₂³×C₁₃	1	2	yes	—
1027	#106	C₂³×C₁₃	1	2	yes	—
1028	#106	C₂³×C₁₃	1	2	yes	—
1029	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
1030	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
1031	#103	C₂³×C₁₃	1	2	yes	—
1032	#103	C₂³×C₁₃	1	2	yes	—
1033	#103	C₂³×C₁₃	1	2	yes	—
1034	#103	C₂³×C₁₃	1	2	yes	—
1035	#103	C₂³×C₁₃	1	2	yes	—
1036	#103	C₂³×C₁₃	1	2	yes	—
1037	#103	C₂³×C₁₃	1	2	yes	—
1038	#103	C₂³×C₁₃	1	2	yes	—
1039	#103	C₂³×C₁₃	1	2	yes	—
1040	#103	C₂³×C₁₃	1	2	yes	—
1041	#103	C₂³×C₁₃	1	2	yes	—
1042	#102	C₂³×C₁₃	1	2	yes	—
1043	#102	C₂³×C₁₃	1	2	yes	—
1044	#102	C₂³×C₁₃	1	2	yes	—
1045	#102	C₂³×C₁₃	1	2	yes	—
1046	#102	C₂³×C₁₃	1	2	yes	—
1047	#102	C₂³×C₁₃	1	2	yes	—
1048	#102	C₂³×C₁₃	1	2	yes	—
1049	#102	C₂³×C₁₃	1	2	yes	—
1050	#102	C₂³×C₁₃	1	2	yes	—
1051	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1052	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1053	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1054	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1055	#97	C₂³×C₁₃	1	2	yes	—
1056	C₄×C₈	C₂³×C₁₃	1	2	yes	—
1057	C₂×C₁₃	—	2	2	no	—
1058	C₂×C₁₃	—	2	2	no	—
1059	C₂×C₁₃	—	4	1	no	—
1060	C₂×C₁₃	—	4	1	no	—
1061	C₂×C₁₃	—	4	1	no	—
1062	C₂×C₁₃	—	4	2	no	—
1063	C₂×C₁₃	—	8	1	no	—
1064	C₂×C₁₃	—	8	1	no	—
1065	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1066	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1067	C₂×C₁₃	#3586	1	1	yes	characteristic
1068	C₂⁴	—	2	1	no	—
1069	C₂⁴	—	2	1	no	—
1070	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1071	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1072	#41	—	2	2	no	—
1073	#41	—	2	2	no	—
1074	#41	—	2	2	no	—
1075	#41	—	2	2	no	—
1076	#41	—	2	2	no	—
1077	#41	—	2	2	no	—
1078	#41	—	2	2	no	—
1079	#41	—	2	2	no	—
1080	#41	—	2	2	no	—
1081	#41	—	4	4	no	—
1082	#41	—	4	4	no	—
1083	#41	—	4	1	no	—
1084	#41	—	4	1	no	—
1085	#41	—	4	1	no	—
1086	#41	—	4	1	no	—
1087	#41	—	4	4	no	—
1088	#41	—	4	4	no	—
1089	#41	C₁₃×#41	1	4	yes	—
1090	C₂×Q₈	—	2	1	no	—
1091	C₂×Q₈	—	2	1	no	—
1092	C₂×Q₈	—	2	1	no	—
1093	C₂×Q₈	—	2	2	no	—
1094	C₂×Q₈	—	2	2	no	—
1095	C₂×Q₈	—	2	2	no	—
1096	C₂×Q₈	—	2	2	no	—
1097	C₂×Q₈	—	4	1	no	—
1098	C₂×Q₈	—	4	1	no	—
1099	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1100	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1101	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1102	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1103	C₂×D₄	—	2	1	no	—
1104	C₂×D₄	—	2	2	no	—
1105	C₂×D₄	—	2	2	no	—
1106	C₂×D₄	—	2	1	no	—
1107	C₂×D₄	—	2	1	no	—
1108	C₂×D₄	—	2	1	no	—
1109	C₂×D₄	—	2	1	no	—
1110	C₂×D₄	—	2	1	no	—
1111	C₂×D₄	—	2	1	no	—
1112	C₂×D₄	—	2	1	no	—
1113	C₂×D₄	—	2	1	no	—
1114	C₂×D₄	—	2	1	no	—
1115	C₂×D₄	—	2	1	no	—
1116	C₂×D₄	—	2	1	no	—
1117	C₂×D₄	—	2	1	no	—
1118	C₂×D₄	—	2	1	no	—
1119	C₂×D₄	—	2	1	no	—
1120	C₂×D₄	—	4	1	no	—
1121	C₂×D₄	—	4	1	no	—
1122	C₂×D₄	—	4	2	no	—
1123	C₂×D₄	—	4	4	no	—
1124	C₂×D₄	—	4	4	no	—
1125	C₂×D₄	—	4	4	no	—
1126	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1127	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1128	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1129	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1130	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1131	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1132	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1133	C₂²×C₄	—	2	1	no	—
1134	C₂²×C₄	—	2	2	no	—
1135	C₂²×C₄	—	2	2	no	—
1136	C₂²×C₄	—	2	2	no	—
1137	C₂²×C₄	—	2	2	no	—
1138	C₂²×C₄	—	2	1	no	—
1139	C₂²×C₄	—	2	1	no	—
1140	C₂²×C₄	—	2	1	no	—
1141	C₂²×C₄	—	2	1	no	—
1142	C₂²×C₄	—	2	2	no	—
1143	C₂²×C₄	—	2	2	no	—
1144	C₂²×C₄	—	2	1	no	—
1145	C₂²×C₄	—	2	1	no	—
1146	C₂²×C₄	—	2	1	no	—
1147	C₂²×C₄	—	2	1	no	—
1148	C₂²×C₄	—	2	1	no	—
1149	C₂²×C₄	—	2	1	no	—
1150	C₂²×C₄	—	2	1	no	—
1151	C₂²×C₄	—	2	1	no	—
1152	C₂²×C₄	—	2	1	no	—
1153	C₂²×C₄	—	2	1	no	—
1154	C₂²×C₄	—	4	4	no	—
1155	C₂²×C₄	—	4	4	no	—
1156	C₂²×C₄	—	4	4	no	—
1157	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1158	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1159	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1160	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1161	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1162	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1163	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1164	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1165	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1166	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1167	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1168	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1169	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1170	Q₁₆	—	2	4	no	—
1171	Q₁₆	—	4	2	no	—
1172	Q₁₆	—	4	2	no	—
1173	SD₁₆	—	2	4	no	—
1174	SD₁₆	—	4	2	no	—
1175	SD₁₆	—	4	2	no	—
1176	M₁₆	—	2	2	no	—
1177	M₁₆	—	2	2	no	—
1178	M₁₆	—	2	2	no	—
1179	M₁₆	—	2	2	no	—
1180	M₁₆	—	4	2	no	—
1181	M₁₆	—	4	2	no	—
1182	C₂×C₈	—	4	2	no	—
1183	C₂×C₈	—	4	2	no	—
1184	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1185	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1186	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1187	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1188	C₄⋊C₄	—	2	1	no	—
1189	C₄⋊C₄	—	2	1	no	—
1190	C₄⋊C₄	—	2	2	no	—
1191	C₄⋊C₄	—	2	2	no	—
1192	C₄⋊C₄	—	2	2	no	—
1193	C₄⋊C₄	—	2	2	no	—
1194	C₄⋊C₄	—	2	2	no	—
1195	C₄⋊C₄	—	2	2	no	—
1196	C₄⋊C₄	—	2	1	no	—
1197	C₄⋊C₄	—	2	1	no	—
1198	C₄⋊C₄	—	2	1	no	—
1199	C₄⋊C₄	—	2	2	no	—
1200	C₄⋊C₄	—	2	2	no	—
1201	C₄⋊C₄	—	2	2	no	—
1202	C₄⋊C₄	—	2	2	no	—
1203	C₄⋊C₄	—	2	2	no	—
1204	C₄⋊C₄	—	2	2	no	—
1205	C₄⋊C₄	—	2	1	no	—
1206	C₄⋊C₄	—	2	1	no	—
1207	C₄⋊C₄	—	2	1	no	—
1208	C₄⋊C₄	—	2	1	no	—
1209	C₄⋊C₄	—	2	1	no	—
1210	C₄⋊C₄	—	2	1	no	—
1211	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1212	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1213	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1214	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1215	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1216	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1217	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1218	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1219	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1220	C₂²⋊C₄	—	2	2	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	2	2	no	—
1223	C₂²⋊C₄	—	2	2	no	—
1224	C₂²⋊C₄	—	2	1	no	—
1225	C₂²⋊C₄	—	2	1	no	—
1226	C₂²⋊C₄	—	2	2	no	—
1227	C₂²⋊C₄	—	2	2	no	—
1228	C₂²⋊C₄	—	2	1	no	—
1229	C₂²⋊C₄	—	2	1	no	—
1230	C₂²⋊C₄	—	2	1	no	—
1231	C₂²⋊C₄	—	2	1	no	—
1232	C₂²⋊C₄	—	2	1	no	—
1233	C₂²⋊C₄	—	2	1	no	—
1234	C₂²⋊C₄	—	2	1	no	—
1235	C₂²⋊C₄	—	2	1	no	—
1236	C₂²⋊C₄	—	2	1	no	—
1237	C₂²⋊C₄	—	2	1	no	—
1238	C₂²⋊C₄	—	2	1	no	—
1239	C₂²⋊C₄	—	2	1	no	—
1240	C₂²⋊C₄	—	2	1	no	—
1241	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1242	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1243	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1244	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1245	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1246	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1247	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1248	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1249	C₄²	—	2	2	no	—
1250	C₄²	—	2	2	no	—
1251	C₄²	—	2	2	no	—
1252	C₄²	—	2	2	no	—
1253	C₄²	—	2	1	no	—
1254	C₄²	—	2	1	no	—
1255	C₄²	—	2	1	no	—
1256	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1257	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1258	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1259	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1260	C₁₃	#61163	1	1	yes	characteristic, direct product factor, Sylow
1261	C₂³	—	2	2	no	—
1262	C₂³	—	2	2	no	—
1263	C₂³	—	2	1	no	—
1264	C₂³	—	2	2	no	—
1265	C₂³	—	2	1	no	—
1266	C₂³	—	2	1	no	—
1267	C₂³	—	4	1	no	—
1268	C₂³	—	4	1	no	—
1269	C₂³	—	4	1	no	—
1270	C₂³	—	4	2	no	—
1271	C₂³	—	4	2	no	—
1272	C₂³	—	4	2	no	—
1273	C₂³	—	4	2	no	—
1274	C₂³	—	8	1	no	—
1275	C₂³	—	8	1	no	—
1276	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1277	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1278	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1279	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1280	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1281	Q₈	—	2	1	no	—
1282	Q₈	—	2	2	no	—
1283	Q₈	—	2	1	no	—
1284	Q₈	—	2	1	no	—
1285	Q₈	—	2	2	no	—
1286	Q₈	—	2	1	no	—
1287	Q₈	—	2	1	no	—
1288	Q₈	—	4	2	no	—
1289	Q₈	—	4	2	no	—
1290	Q₈	—	4	2	no	—
1291	Q₈	C₂×C₁₃×#41	1	2	yes	—
1292	D₄	—	2	4	no	—
1293	D₄	—	2	2	no	—
1294	D₄	—	2	2	no	—
1295	D₄	—	2	1	no	—
1296	D₄	—	2	1	no	—
1297	D₄	—	2	1	no	—
1298	D₄	—	2	1	no	—
1299	D₄	—	2	1	no	—
1300	D₄	—	4	1	no	—
1301	D₄	—	4	1	no	—
1302	D₄	—	4	2	no	—
1303	D₄	—	4	2	no	—
1304	D₄	—	4	2	no	—
1305	D₄	—	4	2	no	—
1306	D₄	—	4	2	no	—
1307	D₄	—	4	2	no	—
1308	D₄	—	4	2	no	—
1309	D₄	—	4	2	no	—
1310	D₄	—	4	2	no	—
1311	D₄	—	4	2	no	—
1312	D₄	—	4	2	no	—
1313	D₄	—	8	1	no	—
1314	D₄	—	8	1	no	—
1315	D₄	—	8	1	no	—
1316	D₄	C₂×C₁₃×#41	1	2	yes	—
1317	C₂×C₄	—	2	2	no	—
1318	C₂×C₄	—	2	2	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	2	no	—
1321	C₂×C₄	—	2	2	no	—
1322	C₂×C₄	—	2	2	no	—
1323	C₂×C₄	—	2	2	no	—
1324	C₂×C₄	—	2	4	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	2	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	2	no	—
1337	C₂×C₄	—	2	2	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	2	no	—
1341	C₂×C₄	—	4	1	no	—
1342	C₂×C₄	—	4	1	no	—
1343	C₂×C₄	—	4	2	no	—
1344	C₂×C₄	—	4	2	no	—
1345	C₂×C₄	—	4	2	no	—
1346	C₂×C₄	—	4	2	no	—
1347	C₂×C₄	—	4	2	no	—
1348	C₂×C₄	—	4	2	no	—
1349	C₂×C₄	—	4	2	no	—
1350	C₂×C₄	—	4	2	no	—
1351	C₂×C₄	—	4	2	no	—
1352	C₂×C₄	—	4	4	no	—
1353	C₂×C₄	—	4	2	no	—
1354	C₂×C₄	—	4	2	no	—
1355	C₂×C₄	—	4	4	no	—
1356	C₂×C₄	—	4	2	no	—
1357	C₂×C₄	—	4	2	no	—
1358	C₂×C₄	—	8	1	no	—
1359	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1360	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1361	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1362	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1363	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1364	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1365	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1366	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1367	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1368	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1369	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1370	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1371	C₈	—	2	2	no	—
1372	C₈	—	2	2	no	—
1373	C₈	—	2	2	no	—
1374	C₈	—	2	2	no	—
1375	C₂²	—	2	1	no	—
1376	C₂²	—	2	1	no	—
1377	C₂²	—	2	1	no	—
1378	C₂²	—	2	1	no	—
1379	C₂²	—	2	1	no	—
1380	C₂²	—	2	1	no	—
1381	C₂²	—	2	1	no	—
1382	C₂²	—	2	1	no	—
1383	C₂²	—	2	1	no	—
1384	C₂²	—	2	1	no	—
1385	C₂²	—	2	1	no	—
1386	C₂²	—	2	1	no	—
1387	C₂²	—	2	1	no	—
1388	C₂²	—	2	2	no	—
1389	C₂²	—	4	4	no	—
1390	C₂²	—	4	1	no	—
1391	C₂²	—	4	1	no	—
1392	C₂²	—	4	1	no	—
1393	C₂²	—	4	1	no	—
1394	C₂²	—	4	1	no	—
1395	C₂²	—	4	1	no	—
1396	C₂²	—	4	1	no	—
1397	C₂²	—	4	1	no	—
1398	C₂²	—	8	2	no	—
1399	C₂²	—	8	4	no	—
1400	C₂²	—	8	4	no	—
1401	C₂²	C₁₃×#546	1	2	yes	—
1402	C₂²	C₁₃×#575	1	2	yes	—
1403	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1404	C₄	—	2	1	no	—
1405	C₄	—	2	1	no	—
1406	C₄	—	2	1	no	—
1407	C₄	—	2	1	no	—
1408	C₄	—	2	1	no	—
1409	C₄	—	2	1	no	—
1410	C₄	—	2	1	no	—
1411	C₄	—	2	1	no	—
1412	C₄	—	2	2	no	—
1413	C₄	—	4	2	no	—
1414	C₄	—	4	2	no	—
1415	C₄	—	4	1	no	—
1416	C₄	—	4	2	no	—
1417	C₄	—	4	1	no	—
1418	C₄	—	4	1	no	—
1419	C₄	—	4	1	no	—
1420	C₄	—	4	2	no	—
1421	C₄	C₁₃×#546	1	2	yes	—
1422	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1423	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1424	C₂	—	2	2	no	—
1425	C₂	—	2	2	no	—
1426	C₂	—	4	1	no	—
1427	C₂	—	4	1	no	—
1428	C₂	—	4	1	no	—
1429	C₂	—	4	2	no	—
1430	C₂	—	8	1	no	—
1431	C₂	—	8	1	no	—
1432	C₂	C₂×C₁₃×#546	1	1	yes	characteristic
1433	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1434	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	D₄×C₁₃×#41	C₂
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. C₂×C₁₃×#552	C₂	semidirect
3. C₁₃×#3327	C₂	semidirect
4. C₁₃×#3323	C₂	semidirect
5. C₁₃×#3317	C₂	semidirect
6. C₁₃×#3315	C₂	semidirect
7. C₁₃×#3312	C₂	semidirect
8. C₁₃×#3310	C₂	semidirect
9. C₁₃×#3300	C₂	semidirect
10. C₁₃×#3296	C₂	semidirect
11. C₁₃×#3142	C₂	semidirect
12. C₁₃×#3093	C₂	semidirect
13. C₁₃×#3092	C₂	semidirect
14. C₁₃×#3080	C₂	semidirect
15. C₁₃×#3056	C₂	semidirect
16. C₁₃×#3056	C₂	semidirect
17. C₁₃×#3037	C₂	semidirect
18. C₁₃×#3007	C₂	semidirect
19. C₁₃×#3007	C₂	semidirect
20. C₄×C₁₃×#137	C₂	semidirect
21. D₄×C₁₃×M₁₆	C₂	semidirect
22. C₁₃×#2896	C₂	semidirect
23. C₂×C₁₃×#417	C₂	semidirect
27. C₂×C₁₃×#137	C₂²	semidirect
28. C₂×C₁₃×#137	C₂²	semidirect
29. C₂²×C₁₃×M₁₆	C₂²	semidirect
30. C₂²×C₁₃×M₁₆	C₂²	semidirect
36. C₁₃×#552	C₂²	semidirect
37. C₁₃×#552	C₂²	semidirect
38. C₁₃×#552	C₂²	semidirect
55. C₂×C₁₃×#125	C₂²	semidirect
61. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
62. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
64. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
68. C₂×C₁₃×#117	C₂²	semidirect
69. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
70. C₁₃×#491	C₂²	semidirect
71. C₁₃×#490	C₂²	semidirect
72. C₁₃×#488	C₂²	semidirect
73. C₁₃×#488	C₂²	semidirect
74. C₁₃×#485	C₂²	semidirect
75. C₁₃×#485	C₂²	semidirect
76. C₁₃×#484	C₂²	semidirect
77. C₁₃×#483	C₂²	semidirect
78. C₁₃×#482	C₂²	semidirect
79. C₁₃×#482	C₂²	semidirect
80. C₁₃×#481	C₂²	semidirect
81. C₁₃×#480	C₂²	semidirect
82. C₁₃×#479	C₂²	semidirect
83. C₁₃×#479	C₂²	semidirect
84. C₁₃×#478	C₂²	semidirect
85. C₁₃×#478	C₂²	semidirect
86. C₁₃×#470	C₂²	semidirect
87. C₁₃×#470	C₂²	semidirect
88. C₁₃×#468	C₂²	semidirect
89. C₁₃×#468	C₂²	semidirect
90. C₁₃×#467	C₂²	semidirect
91. C₁₃×#467	C₂²	semidirect
92. C₁₃×#465	C₂²	semidirect
93. C₁₃×#465	C₂²	semidirect
94. C₁₃×#464	C₂²	semidirect
95. C₁₃×#464	C₂²	semidirect
96. C₁₃×#462	C₂²	semidirect
97. C₁₃×#460	C₂²	semidirect
98. C₁₃×#452	C₂²	semidirect
99. C₁₃×#452	C₂²	semidirect
100. C₁₃×#452	C₂²	semidirect
101. C₁₃×#452	C₂²	semidirect
102. C₁₃×#451	C₂²	semidirect
103. C₁₃×#451	C₂²	semidirect
104. C₁₃×#450	C₂²	semidirect
105. C₁₃×#450	C₂²	semidirect
106. C₁₃×#441	C₂²	semidirect
107. C₁₃×#440	C₂²	semidirect
108. C₄×C₁₃×Q₁₆	C₂²	semidirect
109. C₄×C₁₃×SD₁₆	C₂²	semidirect
110. C₁₃×#436	C₂²	semidirect
112. C₁₃×#435	C₂²	semidirect
113. C₈×D₄×C₁₃	C₂²	semidirect
114. C₁₃×#428	C₂²	semidirect
115. C₁₃×#428	C₂²	semidirect
116. C₁₃×#428	C₂²	semidirect
117. C₁₃×#423	C₂²	semidirect
118. C₁₃×#419	C₂²	semidirect
119. C₁₃×#419	C₂²	semidirect
120. C₁₃×#418	C₂²	semidirect
124. C₁₃×#417	C₂²	semidirect
125. C₁₃×#417	C₂²	semidirect
126. C₁₃×#417	C₂²	semidirect
127. C₁₃×#417	C₂²	semidirect
128. C₁₃×#417	C₂²	semidirect
129. C₁₃×#417	C₂²	semidirect
130. C₁₃×#417	C₂²	semidirect
131. C₁₃×#417	C₂²	semidirect
132. C₁₃×#416	C₂²	semidirect
133. C₁₃×#416	C₂²	semidirect
134. C₂×C₁₃×#103	C₂²	semidirect
135. C₂×C₁₃×#102	C₂²	semidirect
136. C₁₃×#407	C₂²	semidirect
137. C₁₃×#407	C₂²	semidirect
138. C₄×C₁₃×M₁₆	C₂²	semidirect
351. #61163	C₁₃	direct (N × H)
544. C₂×#552	C₂×C₁₃	semidirect
546. #3327	C₂×C₁₃	semidirect
547. #3323	C₂×C₁₃	semidirect
548. #3317	C₂×C₁₃	semidirect
549. #3315	C₂×C₁₃	semidirect
550. #3312	C₂×C₁₃	semidirect
551. #3310	C₂×C₁₃	semidirect
552. #3300	C₂×C₁₃	semidirect
553. #3296	C₂×C₁₃	semidirect
554. #3142	C₂×C₁₃	semidirect
555. #3093	C₂×C₁₃	semidirect
556. #3092	C₂×C₁₃	semidirect
557. #3080	C₂×C₁₃	semidirect
558. #3056	C₂×C₁₃	semidirect
559. #3056	C₂×C₁₃	semidirect
560. #3037	C₂×C₁₃	semidirect
561. #3007	C₂×C₁₃	semidirect
562. #3007	C₂×C₁₃	semidirect
563. C₄×#137	C₂×C₁₃	semidirect
564. D₄×M₁₆	C₂×C₁₃	semidirect
565. #2896	C₂×C₁₃	semidirect
566. C₂×#417	C₂×C₁₃	semidirect
684. C₂×#137	C₂²×C₁₃	semidirect
685. C₂×#137	C₂²×C₁₃	semidirect
686. C₂²×M₁₆	C₂²×C₁₃	semidirect
687. C₂²×M₁₆	C₂²×C₁₃	semidirect
693. #552	C₂²×C₁₃	semidirect
694. #552	C₂²×C₁₃	semidirect
695. #552	C₂²×C₁₃	semidirect
712. C₂×#125	C₂²×C₁₃	semidirect
718. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
719. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
721. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
725. C₂×#117	C₂²×C₁₃	semidirect
726. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
727. #491	C₂²×C₁₃	semidirect
728. #490	C₂²×C₁₃	semidirect
729. #488	C₂²×C₁₃	semidirect
730. #488	C₂²×C₁₃	semidirect
731. #485	C₂²×C₁₃	semidirect
732. #485	C₂²×C₁₃	semidirect
733. #484	C₂²×C₁₃	semidirect
734. #483	C₂²×C₁₃	semidirect
735. #482	C₂²×C₁₃	semidirect
736. #482	C₂²×C₁₃	semidirect
737. #481	C₂²×C₁₃	semidirect
738. #480	C₂²×C₁₃	semidirect
739. #479	C₂²×C₁₃	semidirect
740. #479	C₂²×C₁₃	semidirect
741. #478	C₂²×C₁₃	semidirect
742. #478	C₂²×C₁₃	semidirect
743. #470	C₂²×C₁₃	semidirect
744. #470	C₂²×C₁₃	semidirect
745. #468	C₂²×C₁₃	semidirect
746. #468	C₂²×C₁₃	semidirect
747. #467	C₂²×C₁₃	semidirect
748. #467	C₂²×C₁₃	semidirect
749. #465	C₂²×C₁₃	semidirect
750. #465	C₂²×C₁₃	semidirect
751. #464	C₂²×C₁₃	semidirect
752. #464	C₂²×C₁₃	semidirect
753. #462	C₂²×C₁₃	semidirect
754. #460	C₂²×C₁₃	semidirect
755. #452	C₂²×C₁₃	semidirect
756. #452	C₂²×C₁₃	semidirect
757. #452	C₂²×C₁₃	semidirect
758. #452	C₂²×C₁₃	semidirect
759. #451	C₂²×C₁₃	semidirect
760. #451	C₂²×C₁₃	semidirect
761. #450	C₂²×C₁₃	semidirect
762. #450	C₂²×C₁₃	semidirect
763. #441	C₂²×C₁₃	semidirect
764. #440	C₂²×C₁₃	semidirect
765. C₄×Q₁₆	C₂²×C₁₃	semidirect
766. C₄×SD₁₆	C₂²×C₁₃	semidirect
767. #436	C₂²×C₁₃	semidirect
769. #435	C₂²×C₁₃	semidirect
770. C₈×D₄	C₂²×C₁₃	semidirect
771. #428	C₂²×C₁₃	semidirect
772. #428	C₂²×C₁₃	semidirect
773. #428	C₂²×C₁₃	semidirect
774. #423	C₂²×C₁₃	semidirect
775. #419	C₂²×C₁₃	semidirect
776. #419	C₂²×C₁₃	semidirect
777. #418	C₂²×C₁₃	semidirect
781. #417	C₂²×C₁₃	semidirect
782. #417	C₂²×C₁₃	semidirect
783. #417	C₂²×C₁₃	semidirect
784. #417	C₂²×C₁₃	semidirect
785. #417	C₂²×C₁₃	semidirect
786. #417	C₂²×C₁₃	semidirect
787. #417	C₂²×C₁₃	semidirect
788. #417	C₂²×C₁₃	semidirect
789. #416	C₂²×C₁₃	semidirect
790. #416	C₂²×C₁₃	semidirect
791. C₂×#103	C₂²×C₁₃	semidirect
792. C₂×#102	C₂²×C₁₃	semidirect
793. #407	C₂²×C₁₃	semidirect
794. #407	C₂²×C₁₃	semidirect
795. C₄×M₁₆	C₂²×C₁₃	semidirect
1260. C₁₃	#61163	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#552	2
D₄×C₁₃×#41	2
C₁₃×#3327	2
C₁₃×#3323	2
C₁₃×#3317	2
C₁₃×#3315	2
C₁₃×#3312	2
C₁₃×#3310	2
C₁₃×#3300	2
C₁₃×#3296	2
C₁₃×#3142	2
C₁₃×#3093	2
C₁₃×#3092	2
C₁₃×#3080	2
C₁₃×#3056	2
C₁₃×#3037	2
C₁₃×#3007	2
C₄×C₁₃×#137	2
D₄×C₁₃×M₁₆	2
C₁₃×#2896	2
C₂×C₁₃×#417	2
#61163	13

Subgroups — C13×#61163 #15747502

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61163 #15747502