Subgroups — C₁₃×#60772 #15747111

Order 3328.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1322 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3489	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3488	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3203	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3201	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3200	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3198	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3197	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3196	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3194	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3193	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3098	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3098	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3097	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3096	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3056	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3055	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3054	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₃×#468	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3013	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3012	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3010	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3009	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2879	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
25	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
26	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
30	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
31	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
32	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#550	—	2	1	no	—
34	D₄×Q₈×C₁₃	—	2	1	no	—
35	C₁₃×#548	—	2	1	no	—
36	C₁₃×#548	—	2	1	no	—
37	C₁₃×#547	—	2	2	no	—
38	C₁₃×#547	—	2	1	no	—
39	C₁₃×#546	—	2	2	no	—
40	C₁₃×#546	—	2	1	no	—
41	C₁₃×#546	—	2	2	no	—
42	C₁₃×#546	—	2	1	no	—
43	D₄²×C₁₃	—	2	2	no	—
44	D₄²×C₁₃	—	2	1	no	—
45	C₁₃×#537	C₂²	1	1	yes	characteristic
46	C₁₃×#537	C₂²	1	1	yes	characteristic
47	C₁₃×#537	C₂²	1	2	yes	—
48	C₁₃×#537	C₂²	1	2	yes	complemented
49	C₁₃×#536	C₂²	1	1	yes	characteristic
50	C₁₃×#536	C₂²	1	2	yes	complemented
51	C₁₃×#535	C₂²	1	1	yes	characteristic
52	C₁₃×#535	C₂²	1	2	yes	—
53	C₁₃×#525	C₂²	1	1	yes	characteristic
54	C₁₃×#525	C₂²	1	2	yes	—
55	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#525	C₂²	1	2	yes	complemented
57	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
59	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
60	C₂×C₁₃×#121	C₂²	1	2	yes	—
61	C₁₃×#520	C₂²	1	1	yes	characteristic
62	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#485	C₂²	1	2	yes	complemented
64	C₁₃×#485	C₂²	1	2	yes	complemented
65	C₁₃×#485	C₂²	1	2	yes	complemented
66	C₁₃×#485	C₂²	1	2	yes	complemented
67	C₁₃×#484	C₂²	1	2	yes	complemented
68	C₁₃×#484	C₂²	1	2	yes	complemented
69	C₁₃×#484	C₂²	1	2	yes	complemented
70	C₁₃×#483	C₂²	1	2	yes	complemented
71	C₁₃×#482	C₂²	1	2	yes	complemented
72	C₁₃×#482	C₂²	1	2	yes	complemented
73	C₁₃×#482	C₂²	1	2	yes	complemented
74	C₁₃×#482	C₂²	1	2	yes	complemented
75	C₁₃×#481	C₂²	1	2	yes	complemented
76	C₁₃×#480	C₂²	1	2	yes	complemented
77	C₁₃×#480	C₂²	1	2	yes	complemented
78	C₁₃×#480	C₂²	1	2	yes	complemented
79	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#470	C₂²	1	2	yes	complemented
82	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#469	C₂²	1	2	yes	complemented
85	C₁₃×#468	C₂²	1	2	yes	complemented
86	C₁₃×#468	C₂²	1	2	yes	complemented
87	C₁₃×#468	C₂²	1	2	yes	complemented
88	C₁₃×#468	C₂²	1	2	yes	complemented
89	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#468	C₂²	1	2	yes	complemented
94	C₁₃×#468	C₂²	1	2	yes	complemented
95	C₁₃×#467	C₂²	1	2	yes	complemented
96	C₁₃×#466	C₂²	1	2	yes	complemented
97	C₁₃×#465	C₂²	1	2	yes	complemented
98	C₁₃×#465	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×#452	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×#450	C₂²	1	2	yes	complemented
107	C₁₃×#449	C₂²	1	2	yes	complemented
108	C₁₃×#449	C₂²	1	2	yes	complemented
109	C₁₃×#449	C₂²	1	2	yes	complemented
110	C₁₃×#449	C₂²	1	2	yes	complemented
111	C₁₃×#448	C₂²	1	2	yes	complemented
112	C₁₃×#448	C₂²	1	2	yes	complemented
113	C₁₃×#448	C₂²	1	2	yes	complemented
114	C₁₃×#447	C₂²	1	2	yes	complemented
115	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
122	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
123	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
125	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#408	C₂²	1	1	yes	characteristic
128	C₁₃×#408	C₂²	1	1	yes	characteristic
129	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#408	C₂²	1	2	yes	complemented
132	C₁₃×#408	C₂²	1	2	yes	complemented
133	C₁₃×#407	C₂²	1	2	yes	complemented
134	C₁₃×#407	C₂²	1	2	yes	complemented
135	C₁₃×2₋¹⁺⁴	—	4	2	no	—
136	C₁₃×2₋¹⁺⁴	—	4	2	no	—
137	C₁₃×H(5,𝔽₂)	—	4	2	no	—
138	C₁₃×H(5,𝔽₂)	—	4	2	no	—
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	2	no	—
141	C₂×C₁₃×#41	—	2	1	no	—
142	C₂×C₁₃×#41	—	4	2	no	—
143	C₂×C₁₃×#41	—	4	2	no	—
144	C₂×C₁₃×#41	D₄	1	2	yes	—
145	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
146	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
147	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×#41	C₂³	1	2	yes	—
150	C₂×C₁₃×#41	C₂³	1	2	yes	—
151	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×#41	C₂³	1	2	yes	—
154	C₂²×Q₈×C₁₃	—	2	1	no	—
155	C₂²×Q₈×C₁₃	D₄	1	1	yes	characteristic
156	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
157	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
158	C₂²×D₄×C₁₃	—	2	1	no	—
159	C₂²×D₄×C₁₃	—	2	2	no	—
160	C₂²×D₄×C₁₃	—	2	2	no	—
161	C₂²×D₄×C₁₃	—	2	1	no	—
162	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
163	C₂²×D₄×C₁₃	D₄	1	2	yes	—
164	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
165	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
166	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
167	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
168	C₁₃×#137	—	4	2	no	—
169	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
170	C₁₃×#135	—	4	2	no	—
171	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
172	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
173	C₂×C₁₃×SD₁₆	—	4	2	no	—
174	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
175	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
176	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
177	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
178	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
179	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
180	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
181	C₂×C₁₃×D₈	C₂³	1	2	yes	—
182	C₂×C₁₃×M₁₆	—	4	2	no	—
183	C₂×C₁₃×M₁₆	—	4	2	no	—
184	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
185	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
186	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
187	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
188	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
189	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
190	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
191	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
192	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
193	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
194	C₁₃×C₄⋊Q₈	—	2	1	no	—
195	C₁₃×C₄⋊Q₈	—	2	2	no	—
196	C₁₃×#127	—	2	1	no	—
197	C₁₃×#127	—	2	2	no	—
198	C₁₃×#124	—	2	1	no	—
199	C₁₃×#124	—	2	2	no	—
200	C₁₃×#124	—	2	1	no	—
201	C₁₃×#124	—	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	2	no	—
207	C₁₃×#123	—	2	1	no	—
208	C₁₃×#123	—	2	2	no	—
209	C₁₃×C₂²⋊Q₈	—	2	1	no	—
210	C₁₃×C₂²⋊Q₈	—	2	2	no	—
211	C₁₃×C₂²⋊Q₈	—	2	1	no	—
212	C₁₃×C₂²⋊Q₈	—	2	2	no	—
213	C₁₃×C₂²⋊Q₈	—	2	1	no	—
214	C₁₃×C₂²⋊Q₈	—	2	2	no	—
215	C₁₃×C₂²⋊Q₈	—	2	1	no	—
216	C₁₃×C₂²⋊Q₈	—	2	2	no	—
217	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
218	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
219	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
220	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
221	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
223	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
225	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₁₃×#121	—	2	2	no	—
228	C₁₃×#121	—	2	2	no	—
229	C₁₃×#121	—	2	2	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	—	2	2	no	—
232	C₁₃×#121	—	2	2	no	—
233	C₁₃×#121	—	2	1	no	—
234	C₁₃×#121	—	2	2	no	—
235	C₁₃×#121	—	2	2	no	—
236	C₁₃×#121	—	2	2	no	—
237	C₁₃×#121	—	2	1	no	—
238	C₁₃×#121	—	2	2	no	—
239	C₁₃×#121	—	2	1	no	—
240	C₁₃×#121	—	2	2	no	—
241	C₁₃×#121	C₂³	1	2	yes	—
242	C₁₃×#121	C₂³	1	2	yes	—
243	C₁₃×#121	C₂³	1	2	yes	—
244	C₁₃×#121	C₂³	1	2	yes	—
245	C₁₃×#121	C₂³	1	1	yes	characteristic
246	C₁₃×#121	C₂³	1	2	yes	—
247	C₁₃×#121	C₂³	1	1	yes	characteristic
248	C₁₃×#121	C₂³	1	2	yes	—
249	C₁₃×#121	C₂³	1	1	yes	characteristic
250	C₁₃×#121	C₂³	1	1	yes	characteristic
251	C₁₃×#120	—	2	1	no	—
252	C₁₃×#120	—	2	2	no	—
253	C₁₃×#120	—	2	1	no	—
254	C₁₃×#120	—	2	2	no	—
255	C₁₃×#120	—	2	2	no	—
256	C₁₃×#120	—	2	2	no	—
257	C₁₃×#120	—	2	2	no	—
258	C₄×Q₈×C₁₃	—	2	1	no	—
259	C₄×Q₈×C₁₃	—	2	1	no	—
260	C₄×D₄×C₁₃	—	2	2	no	—
261	C₄×D₄×C₁₃	—	2	1	no	—
262	C₄×D₄×C₁₃	—	2	2	no	—
263	C₄×D₄×C₁₃	—	2	1	no	—
264	C₄×D₄×C₁₃	—	2	1	no	—
265	C₄×D₄×C₁₃	—	2	2	no	—
266	C₄×D₄×C₁₃	—	2	1	no	—
267	C₄×D₄×C₁₃	—	2	2	no	—
268	C₄×D₄×C₁₃	—	2	1	no	—
269	C₄×D₄×C₁₃	—	2	2	no	—
270	C₄×D₄×C₁₃	—	2	1	no	—
271	C₄×D₄×C₁₃	—	2	2	no	—
272	C₁₃×#117	C₂³	1	1	yes	characteristic
273	C₁₃×#117	C₂³	1	1	yes	characteristic
274	C₁₃×#117	C₂³	1	2	yes	—
275	C₁₃×#117	C₂³	1	2	yes	—
276	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
277	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
278	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
281	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
282	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
283	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
284	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
285	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
286	C₁₃×#107	C₂³	1	2	yes	—
287	C₁₃×#107	C₂³	1	2	yes	—
288	C₁₃×#107	C₂³	1	1	yes	characteristic
289	C₁₃×#107	C₂³	1	1	yes	characteristic
290	C₁₃×#107	C₂³	1	2	yes	—
291	C₁₃×#107	C₂³	1	2	yes	—
292	C₁₃×#106	C₂³	1	1	yes	characteristic
293	C₁₃×#106	C₂³	1	1	yes	characteristic
294	C₁₃×#106	C₂³	1	2	yes	—
295	C₁₃×#106	C₂³	1	2	yes	—
296	C₁₃×#103	C₂³	1	2	yes	—
297	C₁₃×#103	C₂³	1	2	yes	—
298	C₁₃×#103	C₂³	1	1	yes	characteristic
299	C₁₃×#103	C₂³	1	1	yes	characteristic
300	C₁₃×#103	C₂³	1	1	yes	characteristic
301	C₁₃×#103	C₂³	1	1	yes	characteristic
302	C₁₃×#103	C₂³	1	2	yes	—
303	C₁₃×#103	C₂³	1	2	yes	—
304	C₁₃×#103	C₂³	1	2	yes	—
305	C₁₃×#103	C₂³	1	2	yes	—
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×#102	C₂³	1	2	yes	—
308	C₁₃×#102	C₂³	1	1	yes	characteristic
309	C₁₃×#102	C₂³	1	1	yes	characteristic
310	C₁₃×#102	C₂³	1	1	yes	characteristic
311	C₁₃×#102	C₂³	1	1	yes	characteristic
312	C₁₃×#102	C₂³	1	2	yes	—
313	C₁₃×#102	C₂³	1	2	yes	—
314	C₁₃×#102	C₂³	1	2	yes	—
315	C₁₃×#102	C₂³	1	2	yes	—
316	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
317	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
318	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
319	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
320	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
321	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
322	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
323	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
324	#60772	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
325	C₂⁴×C₁₃	—	2	2	no	—
326	C₂⁴×C₁₃	—	2	1	no	—
327	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
328	C₂⁴×C₁₃	C₂×D₄	1	2	yes	—
329	C₁₃×#41	—	2	2	no	—
330	C₁₃×#41	—	2	2	no	—
331	C₁₃×#41	—	2	2	no	—
332	C₁₃×#41	—	2	2	no	—
333	C₁₃×#41	—	2	2	no	—
334	C₁₃×#41	—	2	2	no	—
335	C₁₃×#41	—	2	2	no	—
336	C₁₃×#41	—	2	2	no	—
337	C₁₃×#41	—	4	2	no	—
338	C₁₃×#41	—	4	2	no	—
339	C₁₃×#41	—	4	4	no	—
340	C₁₃×#41	—	4	2	no	—
341	C₁₃×#41	—	4	2	no	—
342	C₁₃×#41	—	4	2	no	—
343	C₁₃×#41	—	4	2	no	—
344	C₁₃×#41	—	4	2	no	—
345	C₁₃×#41	—	4	2	no	—
346	C₁₃×#41	—	4	8	no	—
347	C₁₃×#41	—	4	4	no	—
348	C₁₃×#41	—	4	4	no	—
349	C₂×Q₈×C₁₃	—	2	2	no	—
350	C₂×Q₈×C₁₃	—	2	1	no	—
351	C₂×Q₈×C₁₃	—	2	2	no	—
352	C₂×Q₈×C₁₃	—	2	2	no	—
353	C₂×Q₈×C₁₃	—	4	2	no	—
354	C₂×Q₈×C₁₃	—	4	2	no	—
355	C₂×Q₈×C₁₃	—	4	2	no	—
356	C₂×Q₈×C₁₃	—	4	4	no	—
357	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
358	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
359	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
360	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
361	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	2	no	—
369	C₂×D₄×C₁₃	—	2	1	no	—
370	C₂×D₄×C₁₃	—	2	1	no	—
371	C₂×D₄×C₁₃	—	2	2	no	—
372	C₂×D₄×C₁₃	—	2	2	no	—
373	C₂×D₄×C₁₃	—	2	1	no	—
374	C₂×D₄×C₁₃	—	2	2	no	—
375	C₂×D₄×C₁₃	—	2	2	no	—
376	C₂×D₄×C₁₃	—	2	2	no	—
377	C₂×D₄×C₁₃	—	2	2	no	—
378	C₂×D₄×C₁₃	—	2	1	no	—
379	C₂×D₄×C₁₃	—	2	2	no	—
380	C₂×D₄×C₁₃	—	2	2	no	—
381	C₂×D₄×C₁₃	—	4	2	no	—
382	C₂×D₄×C₁₃	—	4	2	no	—
383	C₂×D₄×C₁₃	—	4	2	no	—
384	C₂×D₄×C₁₃	—	4	4	no	—
385	C₂×D₄×C₁₃	—	4	8	no	—
386	C₂×D₄×C₁₃	—	4	4	no	—
387	C₂×D₄×C₁₃	—	8	2	no	—
388	C₂×D₄×C₁₃	—	8	4	no	—
389	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
390	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
391	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
392	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
393	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
394	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
395	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
396	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
398	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₁₃	—	2	2	no	—
400	C₂²×C₄×C₁₃	—	2	2	no	—
401	C₂²×C₄×C₁₃	—	2	2	no	—
402	C₂²×C₄×C₁₃	—	2	1	no	—
403	C₂²×C₄×C₁₃	—	2	2	no	—
404	C₂²×C₄×C₁₃	—	2	1	no	—
405	C₂²×C₄×C₁₃	—	2	2	no	—
406	C₂²×C₄×C₁₃	—	2	1	no	—
407	C₂²×C₄×C₁₃	—	2	2	no	—
408	C₂²×C₄×C₁₃	—	2	1	no	—
409	C₂²×C₄×C₁₃	—	2	2	no	—
410	C₂²×C₄×C₁₃	—	2	1	no	—
411	C₂²×C₄×C₁₃	—	4	2	no	—
412	C₂²×C₄×C₁₃	—	4	2	no	—
413	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
414	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
415	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
416	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
417	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
418	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
419	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
420	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
421	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
424	C₁₃×Q₁₆	—	4	1	no	—
425	C₁₃×Q₁₆	—	4	2	no	—
426	C₁₃×SD₁₆	—	4	2	no	—
427	C₁₃×SD₁₆	—	4	2	no	—
428	C₁₃×SD₁₆	—	4	1	no	—
429	C₁₃×SD₁₆	—	4	1	no	—
430	C₁₃×SD₁₆	—	4	2	no	—
431	C₁₃×SD₁₆	—	4	2	no	—
432	C₁₃×D₈	—	4	1	no	—
433	C₁₃×D₈	—	4	2	no	—
434	C₁₃×M₁₆	—	2	2	no	—
435	C₁₃×M₁₆	—	2	2	no	—
436	C₁₃×M₁₆	—	4	1	no	—
437	C₁₃×M₁₆	—	4	1	no	—
438	C₁₃×M₁₆	—	4	1	no	—
439	C₁₃×M₁₆	—	4	1	no	—
440	C₁₃×M₁₆	—	4	2	no	—
441	C₂×C₈×C₁₃	—	2	2	no	—
442	C₂×C₈×C₁₃	—	2	2	no	—
443	C₂×C₈×C₁₃	—	4	2	no	—
444	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
445	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
446	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
447	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
448	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
449	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
450	C₁₃×C₄⋊C₄	—	2	2	no	—
451	C₁₃×C₄⋊C₄	—	2	1	no	—
452	C₁₃×C₄⋊C₄	—	2	2	no	—
453	C₁₃×C₄⋊C₄	—	2	2	no	—
454	C₁₃×C₄⋊C₄	—	2	2	no	—
455	C₁₃×C₄⋊C₄	—	2	2	no	—
456	C₁₃×C₄⋊C₄	—	2	1	no	—
457	C₁₃×C₄⋊C₄	—	2	2	no	—
458	C₁₃×C₄⋊C₄	—	2	1	no	—
459	C₁₃×C₄⋊C₄	—	2	1	no	—
460	C₁₃×C₄⋊C₄	—	2	2	no	—
461	C₁₃×C₄⋊C₄	—	2	1	no	—
462	C₁₃×C₄⋊C₄	—	2	2	no	—
463	C₁₃×C₄⋊C₄	—	2	1	no	—
464	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
465	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
466	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
467	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
468	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
469	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
470	C₁₃×C₂²⋊C₄	—	2	2	no	—
471	C₁₃×C₂²⋊C₄	—	2	1	no	—
472	C₁₃×C₂²⋊C₄	—	2	2	no	—
473	C₁₃×C₂²⋊C₄	—	2	2	no	—
474	C₁₃×C₂²⋊C₄	—	2	2	no	—
475	C₁₃×C₂²⋊C₄	—	2	2	no	—
476	C₁₃×C₂²⋊C₄	—	2	1	no	—
477	C₁₃×C₂²⋊C₄	—	2	2	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	2	no	—
482	C₁₃×C₂²⋊C₄	—	2	2	no	—
483	C₁₃×C₂²⋊C₄	—	2	1	no	—
484	C₁₃×C₂²⋊C₄	—	2	2	no	—
485	C₁₃×C₂²⋊C₄	—	2	1	no	—
486	C₁₃×C₂²⋊C₄	—	2	2	no	—
487	C₁₃×C₂²⋊C₄	—	2	2	no	—
488	C₁₃×C₂²⋊C₄	—	2	2	no	—
489	C₁₃×C₂²⋊C₄	—	2	1	no	—
490	C₁₃×C₂²⋊C₄	—	2	2	no	—
491	C₁₃×C₂²⋊C₄	—	2	1	no	—
492	C₁₃×C₂²⋊C₄	—	2	2	no	—
493	C₁₃×C₂²⋊C₄	—	2	1	no	—
494	C₄²×C₁₃	—	2	2	no	—
495	C₄²×C₁₃	—	2	1	no	—
496	C₄²×C₁₃	—	2	2	no	—
497	C₄²×C₁₃	—	2	1	no	—
498	#3489	C₂×C₁₃	1	1	yes	characteristic, complemented
499	#3488	C₂×C₁₃	1	1	yes	characteristic, complemented
500	#3203	C₂×C₁₃	1	2	yes	complemented
501	#3201	C₂×C₁₃	1	2	yes	complemented
502	#3200	C₂×C₁₃	1	2	yes	complemented
503	#3198	C₂×C₁₃	1	2	yes	complemented
504	#3197	C₂×C₁₃	1	2	yes	complemented
505	#3196	C₂×C₁₃	1	2	yes	complemented
506	#3194	C₂×C₁₃	1	2	yes	complemented
507	#3193	C₂×C₁₃	1	2	yes	complemented
508	#3098	C₂×C₁₃	1	1	yes	characteristic, complemented
509	#3098	C₂×C₁₃	1	1	yes	characteristic, complemented
510	#3097	C₂×C₁₃	1	1	yes	characteristic, complemented
511	#3096	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3056	C₂×C₁₃	1	1	yes	characteristic, complemented
513	#3055	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#3054	C₂×C₁₃	1	1	yes	characteristic, complemented
515	C₂×#468	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#3013	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3012	C₂×C₁₃	1	1	yes	characteristic, complemented
518	#3010	C₂×C₁₃	1	1	yes	characteristic, complemented
519	#3009	C₂×C₁₃	1	1	yes	characteristic, complemented
520	#2879	C₂×C₁₃	1	1	yes	characteristic, complemented
521	C₂³×C₁₃	—	2	2	no	—
522	C₂³×C₁₃	—	2	1	no	—
523	C₂³×C₁₃	—	2	2	no	—
524	C₂³×C₁₃	—	2	1	no	—
525	C₂³×C₁₃	—	4	2	no	—
526	C₂³×C₁₃	—	4	1	no	—
527	C₂³×C₁₃	—	4	2	no	—
528	C₂³×C₁₃	—	4	1	no	—
529	C₂³×C₁₃	—	4	2	no	—
530	C₂³×C₁₃	—	4	4	no	—
531	C₂³×C₁₃	—	4	2	no	—
532	C₂³×C₁₃	—	8	1	no	—
533	C₂³×C₁₃	—	8	2	no	—
534	C₂³×C₁₃	—	8	1	no	—
535	C₂³×C₁₃	—	8	2	no	—
536	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
537	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
538	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
539	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
540	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
541	Q₈×C₁₃	—	2	2	no	—
542	Q₈×C₁₃	—	2	2	no	—
543	Q₈×C₁₃	—	2	2	no	—
544	Q₈×C₁₃	—	2	1	no	—
545	Q₈×C₁₃	—	2	2	no	—
546	Q₈×C₁₃	—	2	1	no	—
547	Q₈×C₁₃	—	2	1	no	—
548	Q₈×C₁₃	—	2	1	no	—
549	Q₈×C₁₃	—	4	2	no	—
550	Q₈×C₁₃	—	4	4	no	—
551	Q₈×C₁₃	—	4	2	no	—
552	D₄×C₁₃	—	2	4	no	—
553	D₄×C₁₃	—	2	4	no	—
554	D₄×C₁₃	—	2	2	no	—
555	D₄×C₁₃	—	2	2	no	—
556	D₄×C₁₃	—	2	1	no	—
557	D₄×C₁₃	—	2	2	no	—
558	D₄×C₁₃	—	2	1	no	—
559	D₄×C₁₃	—	2	1	no	—
560	D₄×C₁₃	—	2	2	no	—
561	D₄×C₁₃	—	2	1	no	—
562	D₄×C₁₃	—	4	2	no	—
563	D₄×C₁₃	—	4	2	no	—
564	D₄×C₁₃	—	4	2	no	—
565	D₄×C₁₃	—	4	4	no	—
566	D₄×C₁₃	—	4	2	no	—
567	D₄×C₁₃	—	4	4	no	—
568	D₄×C₁₃	—	4	4	no	—
569	D₄×C₁₃	—	4	2	no	—
570	D₄×C₁₃	—	4	4	no	—
571	D₄×C₁₃	—	4	2	no	—
572	D₄×C₁₃	—	4	2	no	—
573	D₄×C₁₃	—	4	2	no	—
574	D₄×C₁₃	—	8	2	no	—
575	D₄×C₁₃	—	8	1	no	—
576	D₄×C₁₃	—	8	1	no	—
577	D₄×C₁₃	—	8	2	no	—
578	D₄×C₁₃	—	8	2	no	—
579	D₄×C₁₃	—	8	2	no	—
580	D₄×C₁₃	—	8	2	no	—
581	C₂×C₄×C₁₃	—	2	2	no	—
582	C₂×C₄×C₁₃	—	2	2	no	—
583	C₂×C₄×C₁₃	—	2	2	no	—
584	C₂×C₄×C₁₃	—	2	1	no	—
585	C₂×C₄×C₁₃	—	2	1	no	—
586	C₂×C₄×C₁₃	—	2	1	no	—
587	C₂×C₄×C₁₃	—	2	1	no	—
588	C₂×C₄×C₁₃	—	2	2	no	—
589	C₂×C₄×C₁₃	—	2	2	no	—
590	C₂×C₄×C₁₃	—	2	2	no	—
591	C₂×C₄×C₁₃	—	2	2	no	—
592	C₂×C₄×C₁₃	—	2	1	no	—
593	C₂×C₄×C₁₃	—	2	1	no	—
594	C₂×C₄×C₁₃	—	2	2	no	—
595	C₂×C₄×C₁₃	—	2	1	no	—
596	C₂×C₄×C₁₃	—	2	2	no	—
597	C₂×C₄×C₁₃	—	2	1	no	—
598	C₂×C₄×C₁₃	—	2	1	no	—
599	C₂×C₄×C₁₃	—	2	2	no	—
600	C₂×C₄×C₁₃	—	2	1	no	—
601	C₂×C₄×C₁₃	—	4	2	no	—
602	C₂×C₄×C₁₃	—	4	2	no	—
603	C₂×C₄×C₁₃	—	4	2	no	—
604	C₂×C₄×C₁₃	—	4	4	no	—
605	C₂×C₄×C₁₃	—	4	4	no	—
606	C₂×C₄×C₁₃	—	4	4	no	—
607	C₂×C₄×C₁₃	—	4	2	no	—
608	C₂×C₄×C₁₃	—	4	2	no	—
609	C₂×C₄×C₁₃	—	4	2	no	—
610	C₂×C₄×C₁₃	—	8	1	no	—
611	C₂×C₄×C₁₃	—	8	2	no	—
612	C₂×C₄×C₁₃	—	8	1	no	—
613	C₂×C₄×C₁₃	—	8	2	no	—
614	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
615	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
616	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
617	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
618	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
619	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
620	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
621	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
622	C₈×C₁₃	—	2	1	no	—
623	C₈×C₁₃	—	2	1	no	—
624	C₈×C₁₃	—	2	1	no	—
625	C₈×C₁₃	—	2	1	no	—
626	C₈×C₁₃	—	2	2	no	—
627	C₈×C₁₃	—	2	2	no	—
628	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
629	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic
630	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
631	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
632	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
633	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
634	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
635	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
636	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
637	#550	—	2	1	no	—
638	D₄×Q₈	—	2	1	no	—
639	#548	—	2	1	no	—
640	#548	—	2	1	no	—
641	#547	—	2	2	no	—
642	#547	—	2	1	no	—
643	#546	—	2	2	no	—
644	#546	—	2	1	no	—
645	#546	—	2	2	no	—
646	#546	—	2	1	no	—
647	D₄²	—	2	2	no	—
648	D₄²	—	2	1	no	—
649	#537	C₂²×C₁₃	1	1	yes	characteristic
650	#537	C₂²×C₁₃	1	1	yes	characteristic
651	#537	C₂²×C₁₃	1	2	yes	—
652	#537	C₂²×C₁₃	1	2	yes	complemented
653	#536	C₂²×C₁₃	1	1	yes	characteristic
654	#536	C₂²×C₁₃	1	2	yes	complemented
655	#535	C₂²×C₁₃	1	1	yes	characteristic
656	#535	C₂²×C₁₃	1	2	yes	—
657	#525	C₂²×C₁₃	1	2	yes	—
658	#525	C₂²×C₁₃	1	1	yes	characteristic
659	#525	C₂²×C₁₃	1	2	yes	complemented
660	#525	C₂²×C₁₃	1	1	yes	characteristic, complemented
661	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
662	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
663	C₂×#121	C₂²×C₁₃	1	2	yes	—
664	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
665	#520	C₂²×C₁₃	1	1	yes	characteristic
666	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
667	#485	C₂²×C₁₃	1	2	yes	complemented
668	#485	C₂²×C₁₃	1	2	yes	complemented
669	#485	C₂²×C₁₃	1	2	yes	complemented
670	#485	C₂²×C₁₃	1	2	yes	complemented
671	#484	C₂²×C₁₃	1	2	yes	complemented
672	#484	C₂²×C₁₃	1	2	yes	complemented
673	#484	C₂²×C₁₃	1	2	yes	complemented
674	#483	C₂²×C₁₃	1	2	yes	complemented
675	#482	C₂²×C₁₃	1	2	yes	complemented
676	#482	C₂²×C₁₃	1	2	yes	complemented
677	#482	C₂²×C₁₃	1	2	yes	complemented
678	#482	C₂²×C₁₃	1	2	yes	complemented
679	#481	C₂²×C₁₃	1	2	yes	complemented
680	#480	C₂²×C₁₃	1	2	yes	complemented
681	#480	C₂²×C₁₃	1	2	yes	complemented
682	#480	C₂²×C₁₃	1	2	yes	complemented
683	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
684	#470	C₂²×C₁₃	1	2	yes	complemented
685	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
686	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
687	#469	C₂²×C₁₃	1	2	yes	complemented
688	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
689	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
690	#468	C₂²×C₁₃	1	2	yes	complemented
691	#468	C₂²×C₁₃	1	2	yes	complemented
692	#468	C₂²×C₁₃	1	2	yes	complemented
693	#468	C₂²×C₁₃	1	2	yes	complemented
694	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
695	#468	C₂²×C₁₃	1	2	yes	complemented
696	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
697	#468	C₂²×C₁₃	1	2	yes	complemented
698	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
699	#467	C₂²×C₁₃	1	2	yes	complemented
700	#466	C₂²×C₁₃	1	2	yes	complemented
701	#465	C₂²×C₁₃	1	2	yes	complemented
702	#465	C₂²×C₁₃	1	2	yes	complemented
703	#452	C₂²×C₁₃	1	2	yes	complemented
704	#452	C₂²×C₁₃	1	2	yes	complemented
705	#452	C₂²×C₁₃	1	2	yes	complemented
706	#452	C₂²×C₁₃	1	2	yes	complemented
707	#451	C₂²×C₁₃	1	2	yes	complemented
708	#450	C₂²×C₁₃	1	2	yes	complemented
709	#450	C₂²×C₁₃	1	2	yes	complemented
710	#450	C₂²×C₁₃	1	2	yes	complemented
711	#449	C₂²×C₁₃	1	2	yes	complemented
712	#449	C₂²×C₁₃	1	2	yes	complemented
713	#449	C₂²×C₁₃	1	2	yes	complemented
714	#449	C₂²×C₁₃	1	2	yes	complemented
715	#448	C₂²×C₁₃	1	2	yes	complemented
716	#448	C₂²×C₁₃	1	2	yes	complemented
717	#448	C₂²×C₁₃	1	2	yes	complemented
718	#447	C₂²×C₁₃	1	2	yes	complemented
719	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
720	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
721	#427	C₂²×C₁₃	1	1	yes	characteristic, complemented
722	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic, complemented
723	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
724	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
725	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
726	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
727	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
728	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
729	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
730	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
731	#408	C₂²×C₁₃	1	1	yes	characteristic
732	#408	C₂²×C₁₃	1	1	yes	characteristic
733	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
734	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
735	#408	C₂²×C₁₃	1	2	yes	complemented
736	#408	C₂²×C₁₃	1	2	yes	complemented
737	#407	C₂²×C₁₃	1	2	yes	complemented
738	#407	C₂²×C₁₃	1	2	yes	complemented
739	C₂²×C₁₃	—	2	1	no	—
740	C₂²×C₁₃	—	2	1	no	—
741	C₂²×C₁₃	—	2	2	no	—
742	C₂²×C₁₃	—	2	2	no	—
743	C₂²×C₁₃	—	2	1	no	—
744	C₂²×C₁₃	—	2	1	no	—
745	C₂²×C₁₃	—	2	1	no	—
746	C₂²×C₁₃	—	2	1	no	—
747	C₂²×C₁₃	—	2	2	no	—
748	C₂²×C₁₃	—	2	2	no	—
749	C₂²×C₁₃	—	2	1	no	—
750	C₂²×C₁₃	—	2	1	no	—
751	C₂²×C₁₃	—	2	2	no	—
752	C₂²×C₁₃	—	2	2	no	—
753	C₂²×C₁₃	—	4	2	no	—
754	C₂²×C₁₃	—	4	1	no	—
755	C₂²×C₁₃	—	4	1	no	—
756	C₂²×C₁₃	—	4	1	no	—
757	C₂²×C₁₃	—	4	2	no	—
758	C₂²×C₁₃	—	4	1	no	—
759	C₂²×C₁₃	—	4	1	no	—
760	C₂²×C₁₃	—	4	2	no	—
761	C₂²×C₁₃	—	4	1	no	—
762	C₂²×C₁₃	—	8	2	no	—
763	C₂²×C₁₃	—	8	4	no	—
764	C₂²×C₁₃	—	16	2	no	—
765	C₂²×C₁₃	—	16	4	no	—
766	C₂²×C₁₃	#534	1	2	yes	—
767	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
768	C₄×C₁₃	—	2	1	no	—
769	C₄×C₁₃	—	2	1	no	—
770	C₄×C₁₃	—	2	2	no	—
771	C₄×C₁₃	—	2	2	no	—
772	C₄×C₁₃	—	4	2	no	—
773	C₄×C₁₃	—	4	1	no	—
774	C₄×C₁₃	—	4	2	no	—
775	C₄×C₁₃	—	4	1	no	—
776	C₄×C₁₃	—	4	1	no	—
777	C₄×C₁₃	—	4	1	no	—
778	C₄×C₁₃	—	4	1	no	—
779	C₄×C₁₃	—	4	2	no	—
780	C₄×C₁₃	—	4	1	no	—
781	C₄×C₁₃	#534	1	2	yes	—
782	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
783	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
784	2₋¹⁺⁴	—	4	2	no	—
785	2₋¹⁺⁴	—	4	2	no	—
786	H(5,𝔽₂)	—	4	2	no	—
787	H(5,𝔽₂)	—	4	2	no	—
788	C₂×#41	—	2	1	no	—
789	C₂×#41	—	2	2	no	—
790	C₂×#41	—	2	1	no	—
791	C₂×#41	—	4	2	no	—
792	C₂×#41	—	4	2	no	—
793	C₂×#41	D₄×C₁₃	1	2	yes	—
794	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
795	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
796	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
797	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
798	C₂×#41	C₂³×C₁₃	1	2	yes	—
799	C₂×#41	C₂³×C₁₃	1	2	yes	—
800	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
801	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
802	C₂×#41	C₂³×C₁₃	1	2	yes	—
803	C₂²×Q₈	—	2	1	no	—
804	C₂²×Q₈	D₄×C₁₃	1	1	yes	characteristic
805	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
806	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
807	C₂²×D₄	—	2	1	no	—
808	C₂²×D₄	—	2	2	no	—
809	C₂²×D₄	—	2	2	no	—
810	C₂²×D₄	—	2	1	no	—
811	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
812	C₂²×D₄	D₄×C₁₃	1	2	yes	—
813	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
814	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
815	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
816	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
817	#137	—	4	2	no	—
818	AGL(1,ℤ/8)	—	4	2	no	—
819	#135	—	4	2	no	—
820	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
821	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
822	C₂×SD₁₆	—	4	2	no	—
823	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
824	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
825	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
826	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
827	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
828	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
829	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
830	C₂×D₈	C₂³×C₁₃	1	2	yes	—
831	C₂×M₁₆	—	4	2	no	—
832	C₂×M₁₆	—	4	2	no	—
833	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
834	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
835	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
836	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
837	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
838	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
839	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
840	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
841	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
842	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
843	C₄⋊Q₈	—	2	1	no	—
844	C₄⋊Q₈	—	2	2	no	—
845	#127	—	2	1	no	—
846	#127	—	2	2	no	—
847	#124	—	2	1	no	—
848	#124	—	2	2	no	—
849	#124	—	2	1	no	—
850	#124	—	2	2	no	—
851	#123	—	2	2	no	—
852	#123	—	2	2	no	—
853	#123	—	2	2	no	—
854	#123	—	2	1	no	—
855	#123	—	2	2	no	—
856	#123	—	2	1	no	—
857	#123	—	2	2	no	—
858	C₂²⋊Q₈	—	2	1	no	—
859	C₂²⋊Q₈	—	2	2	no	—
860	C₂²⋊Q₈	—	2	1	no	—
861	C₂²⋊Q₈	—	2	2	no	—
862	C₂²⋊Q₈	—	2	1	no	—
863	C₂²⋊Q₈	—	2	2	no	—
864	C₂²⋊Q₈	—	2	1	no	—
865	C₂²⋊Q₈	—	2	2	no	—
866	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
867	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
868	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
869	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
870	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
871	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
872	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
873	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
874	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
875	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
876	#121	—	2	2	no	—
877	#121	—	2	2	no	—
878	#121	—	2	2	no	—
879	#121	—	2	1	no	—
880	#121	—	2	2	no	—
881	#121	—	2	2	no	—
882	#121	—	2	1	no	—
883	#121	—	2	2	no	—
884	#121	—	2	2	no	—
885	#121	—	2	2	no	—
886	#121	—	2	1	no	—
887	#121	—	2	2	no	—
888	#121	—	2	1	no	—
889	#121	—	2	2	no	—
890	#121	C₂³×C₁₃	1	1	yes	characteristic
891	#121	C₂³×C₁₃	1	2	yes	—
892	#121	C₂³×C₁₃	1	2	yes	—
893	#121	C₂³×C₁₃	1	2	yes	—
894	#121	C₂³×C₁₃	1	2	yes	—
895	#121	C₂³×C₁₃	1	2	yes	—
896	#121	C₂³×C₁₃	1	1	yes	characteristic
897	#121	C₂³×C₁₃	1	1	yes	characteristic
898	#121	C₂³×C₁₃	1	2	yes	—
899	#121	C₂³×C₁₃	1	1	yes	characteristic
900	#120	—	2	1	no	—
901	#120	—	2	2	no	—
902	#120	—	2	1	no	—
903	#120	—	2	2	no	—
904	#120	—	2	2	no	—
905	#120	—	2	2	no	—
906	#120	—	2	2	no	—
907	C₄×Q₈	—	2	1	no	—
908	C₄×Q₈	—	2	1	no	—
909	C₄×D₄	—	2	2	no	—
910	C₄×D₄	—	2	1	no	—
911	C₄×D₄	—	2	2	no	—
912	C₄×D₄	—	2	1	no	—
913	C₄×D₄	—	2	1	no	—
914	C₄×D₄	—	2	2	no	—
915	C₄×D₄	—	2	1	no	—
916	C₄×D₄	—	2	2	no	—
917	C₄×D₄	—	2	1	no	—
918	C₄×D₄	—	2	2	no	—
919	C₄×D₄	—	2	1	no	—
920	C₄×D₄	—	2	2	no	—
921	#117	C₂³×C₁₃	1	1	yes	characteristic
922	#117	C₂³×C₁₃	1	2	yes	—
923	#117	C₂³×C₁₃	1	1	yes	characteristic
924	#117	C₂³×C₁₃	1	2	yes	—
925	C₂×C₄⋊C₄	—	2	1	no	—
926	C₂×C₄⋊C₄	—	2	2	no	—
927	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
928	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
929	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
930	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
931	C₂×C₂²⋊C₄	—	2	1	no	—
932	C₂×C₂²⋊C₄	—	2	2	no	—
933	C₂×C₂²⋊C₄	—	2	1	no	—
934	C₂×C₂²⋊C₄	—	2	2	no	—
935	#107	C₂³×C₁₃	1	2	yes	—
936	#107	C₂³×C₁₃	1	2	yes	—
937	#107	C₂³×C₁₃	1	1	yes	characteristic
938	#107	C₂³×C₁₃	1	1	yes	characteristic
939	#107	C₂³×C₁₃	1	2	yes	—
940	#107	C₂³×C₁₃	1	2	yes	—
941	#106	C₂³×C₁₃	1	1	yes	characteristic
942	#106	C₂³×C₁₃	1	1	yes	characteristic
943	#106	C₂³×C₁₃	1	2	yes	—
944	#106	C₂³×C₁₃	1	2	yes	—
945	#103	C₂³×C₁₃	1	2	yes	—
946	#103	C₂³×C₁₃	1	2	yes	—
947	#103	C₂³×C₁₃	1	1	yes	characteristic
948	#103	C₂³×C₁₃	1	1	yes	characteristic
949	#103	C₂³×C₁₃	1	1	yes	characteristic
950	#103	C₂³×C₁₃	1	1	yes	characteristic
951	#103	C₂³×C₁₃	1	2	yes	—
952	#103	C₂³×C₁₃	1	2	yes	—
953	#103	C₂³×C₁₃	1	2	yes	—
954	#103	C₂³×C₁₃	1	2	yes	—
955	#102	C₂³×C₁₃	1	2	yes	—
956	#102	C₂³×C₁₃	1	2	yes	—
957	#102	C₂³×C₁₃	1	1	yes	characteristic
958	#102	C₂³×C₁₃	1	1	yes	characteristic
959	#102	C₂³×C₁₃	1	1	yes	characteristic
960	#102	C₂³×C₁₃	1	1	yes	characteristic
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	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
966	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
967	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
968	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
969	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
970	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
971	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
972	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
973	C₂×C₁₃	—	2	2	no	—
974	C₂×C₁₃	—	4	2	no	—
975	C₂×C₁₃	—	4	1	no	—
976	C₂×C₁₃	—	4	1	no	—
977	C₂×C₁₃	—	4	2	no	—
978	C₂×C₁₃	—	8	1	no	—
979	C₂×C₁₃	—	8	2	no	—
980	C₂×C₁₃	—	8	1	no	—
981	C₂×C₁₃	C₂×#534	1	1	yes	characteristic
982	C₂×C₁₃	#3585	1	1	yes	characteristic
983	C₂×C₁₃	#3586	1	1	yes	characteristic
984	C₂⁴	—	2	2	no	—
985	C₂⁴	—	2	1	no	—
986	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
987	C₂⁴	C₂×D₄×C₁₃	1	2	yes	—
988	#41	—	2	2	no	—
989	#41	—	2	2	no	—
990	#41	—	2	2	no	—
991	#41	—	2	2	no	—
992	#41	—	2	2	no	—
993	#41	—	2	2	no	—
994	#41	—	2	2	no	—
995	#41	—	2	2	no	—
996	#41	—	4	2	no	—
997	#41	—	4	2	no	—
998	#41	—	4	4	no	—
999	#41	—	4	2	no	—
1000	#41	—	4	2	no	—
1001	#41	—	4	2	no	—
1002	#41	—	4	2	no	—
1003	#41	—	4	2	no	—
1004	#41	—	4	2	no	—
1005	#41	—	4	8	no	—
1006	#41	—	4	4	no	—
1007	#41	—	4	4	no	—
1008	C₂×Q₈	—	2	2	no	—
1009	C₂×Q₈	—	2	1	no	—
1010	C₂×Q₈	—	2	2	no	—
1011	C₂×Q₈	—	2	2	no	—
1012	C₂×Q₈	—	4	2	no	—
1013	C₂×Q₈	—	4	2	no	—
1014	C₂×Q₈	—	4	2	no	—
1015	C₂×Q₈	—	4	4	no	—
1016	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1017	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1018	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
1019	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1020	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1021	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1022	C₂×D₄	—	2	1	no	—
1023	C₂×D₄	—	2	1	no	—
1024	C₂×D₄	—	2	2	no	—
1025	C₂×D₄	—	2	2	no	—
1026	C₂×D₄	—	2	1	no	—
1027	C₂×D₄	—	2	2	no	—
1028	C₂×D₄	—	2	1	no	—
1029	C₂×D₄	—	2	1	no	—
1030	C₂×D₄	—	2	2	no	—
1031	C₂×D₄	—	2	2	no	—
1032	C₂×D₄	—	2	1	no	—
1033	C₂×D₄	—	2	2	no	—
1034	C₂×D₄	—	2	2	no	—
1035	C₂×D₄	—	2	2	no	—
1036	C₂×D₄	—	2	2	no	—
1037	C₂×D₄	—	2	1	no	—
1038	C₂×D₄	—	2	2	no	—
1039	C₂×D₄	—	2	2	no	—
1040	C₂×D₄	—	4	2	no	—
1041	C₂×D₄	—	4	2	no	—
1042	C₂×D₄	—	4	2	no	—
1043	C₂×D₄	—	4	4	no	—
1044	C₂×D₄	—	4	8	no	—
1045	C₂×D₄	—	4	4	no	—
1046	C₂×D₄	—	8	2	no	—
1047	C₂×D₄	—	8	4	no	—
1048	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1049	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1050	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1051	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1052	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1053	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1054	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1055	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1056	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1057	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1058	C₂²×C₄	—	2	2	no	—
1059	C₂²×C₄	—	2	2	no	—
1060	C₂²×C₄	—	2	2	no	—
1061	C₂²×C₄	—	2	1	no	—
1062	C₂²×C₄	—	2	2	no	—
1063	C₂²×C₄	—	2	1	no	—
1064	C₂²×C₄	—	2	2	no	—
1065	C₂²×C₄	—	2	1	no	—
1066	C₂²×C₄	—	2	2	no	—
1067	C₂²×C₄	—	2	1	no	—
1068	C₂²×C₄	—	2	2	no	—
1069	C₂²×C₄	—	2	1	no	—
1070	C₂²×C₄	—	4	2	no	—
1071	C₂²×C₄	—	4	2	no	—
1072	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1073	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1074	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1075	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
1076	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
1077	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
1078	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1079	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1080	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1081	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1082	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1083	Q₁₆	—	4	1	no	—
1084	Q₁₆	—	4	2	no	—
1085	SD₁₆	—	4	2	no	—
1086	SD₁₆	—	4	2	no	—
1087	SD₁₆	—	4	1	no	—
1088	SD₁₆	—	4	1	no	—
1089	SD₁₆	—	4	2	no	—
1090	SD₁₆	—	4	2	no	—
1091	D₈	—	4	1	no	—
1092	D₈	—	4	2	no	—
1093	M₁₆	—	2	2	no	—
1094	M₁₆	—	2	2	no	—
1095	M₁₆	—	4	1	no	—
1096	M₁₆	—	4	1	no	—
1097	M₁₆	—	4	1	no	—
1098	M₁₆	—	4	1	no	—
1099	M₁₆	—	4	2	no	—
1100	C₂×C₈	—	2	2	no	—
1101	C₂×C₈	—	2	2	no	—
1102	C₂×C₈	—	4	2	no	—
1103	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1104	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1105	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1106	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1107	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1108	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1109	C₄⋊C₄	—	2	2	no	—
1110	C₄⋊C₄	—	2	1	no	—
1111	C₄⋊C₄	—	2	2	no	—
1112	C₄⋊C₄	—	2	2	no	—
1113	C₄⋊C₄	—	2	2	no	—
1114	C₄⋊C₄	—	2	2	no	—
1115	C₄⋊C₄	—	2	1	no	—
1116	C₄⋊C₄	—	2	2	no	—
1117	C₄⋊C₄	—	2	1	no	—
1118	C₄⋊C₄	—	2	1	no	—
1119	C₄⋊C₄	—	2	2	no	—
1120	C₄⋊C₄	—	2	1	no	—
1121	C₄⋊C₄	—	2	2	no	—
1122	C₄⋊C₄	—	2	1	no	—
1123	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1124	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1125	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1126	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1127	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1128	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1129	C₂²⋊C₄	—	2	2	no	—
1130	C₂²⋊C₄	—	2	1	no	—
1131	C₂²⋊C₄	—	2	2	no	—
1132	C₂²⋊C₄	—	2	2	no	—
1133	C₂²⋊C₄	—	2	2	no	—
1134	C₂²⋊C₄	—	2	2	no	—
1135	C₂²⋊C₄	—	2	1	no	—
1136	C₂²⋊C₄	—	2	2	no	—
1137	C₂²⋊C₄	—	2	1	no	—
1138	C₂²⋊C₄	—	2	1	no	—
1139	C₂²⋊C₄	—	2	1	no	—
1140	C₂²⋊C₄	—	2	2	no	—
1141	C₂²⋊C₄	—	2	2	no	—
1142	C₂²⋊C₄	—	2	1	no	—
1143	C₂²⋊C₄	—	2	2	no	—
1144	C₂²⋊C₄	—	2	1	no	—
1145	C₂²⋊C₄	—	2	2	no	—
1146	C₂²⋊C₄	—	2	2	no	—
1147	C₂²⋊C₄	—	2	2	no	—
1148	C₂²⋊C₄	—	2	1	no	—
1149	C₂²⋊C₄	—	2	2	no	—
1150	C₂²⋊C₄	—	2	1	no	—
1151	C₂²⋊C₄	—	2	2	no	—
1152	C₂²⋊C₄	—	2	1	no	—
1153	C₄²	—	2	2	no	—
1154	C₄²	—	2	1	no	—
1155	C₄²	—	2	2	no	—
1156	C₄²	—	2	1	no	—
1157	C₁₃	#60772	1	1	yes	characteristic, direct product factor, Sylow
1158	C₂³	—	2	2	no	—
1159	C₂³	—	2	1	no	—
1160	C₂³	—	2	2	no	—
1161	C₂³	—	2	1	no	—
1162	C₂³	—	4	2	no	—
1163	C₂³	—	4	1	no	—
1164	C₂³	—	4	2	no	—
1165	C₂³	—	4	1	no	—
1166	C₂³	—	4	2	no	—
1167	C₂³	—	4	4	no	—
1168	C₂³	—	4	2	no	—
1169	C₂³	—	8	1	no	—
1170	C₂³	—	8	2	no	—
1171	C₂³	—	8	1	no	—
1172	C₂³	—	8	2	no	—
1173	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1174	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1175	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1176	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1177	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1178	Q₈	—	2	2	no	—
1179	Q₈	—	2	2	no	—
1180	Q₈	—	2	2	no	—
1181	Q₈	—	2	1	no	—
1182	Q₈	—	2	2	no	—
1183	Q₈	—	2	1	no	—
1184	Q₈	—	2	1	no	—
1185	Q₈	—	2	1	no	—
1186	Q₈	—	4	2	no	—
1187	Q₈	—	4	4	no	—
1188	Q₈	—	4	2	no	—
1189	D₄	—	2	4	no	—
1190	D₄	—	2	4	no	—
1191	D₄	—	2	2	no	—
1192	D₄	—	2	2	no	—
1193	D₄	—	2	1	no	—
1194	D₄	—	2	2	no	—
1195	D₄	—	2	1	no	—
1196	D₄	—	2	1	no	—
1197	D₄	—	2	2	no	—
1198	D₄	—	2	1	no	—
1199	D₄	—	4	2	no	—
1200	D₄	—	4	2	no	—
1201	D₄	—	4	2	no	—
1202	D₄	—	4	4	no	—
1203	D₄	—	4	4	no	—
1204	D₄	—	4	4	no	—
1205	D₄	—	4	2	no	—
1206	D₄	—	4	2	no	—
1207	D₄	—	4	4	no	—
1208	D₄	—	4	2	no	—
1209	D₄	—	4	2	no	—
1210	D₄	—	4	2	no	—
1211	D₄	—	8	2	no	—
1212	D₄	—	8	2	no	—
1213	D₄	—	8	2	no	—
1214	D₄	—	8	2	no	—
1215	D₄	—	8	1	no	—
1216	D₄	—	8	1	no	—
1217	D₄	—	8	2	no	—
1218	C₂×C₄	—	2	2	no	—
1219	C₂×C₄	—	2	2	no	—
1220	C₂×C₄	—	2	2	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	2	no	—
1226	C₂×C₄	—	2	2	no	—
1227	C₂×C₄	—	2	2	no	—
1228	C₂×C₄	—	2	2	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	2	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	2	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	2	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	4	2	no	—
1239	C₂×C₄	—	4	2	no	—
1240	C₂×C₄	—	4	2	no	—
1241	C₂×C₄	—	4	4	no	—
1242	C₂×C₄	—	4	4	no	—
1243	C₂×C₄	—	4	4	no	—
1244	C₂×C₄	—	4	2	no	—
1245	C₂×C₄	—	4	2	no	—
1246	C₂×C₄	—	4	2	no	—
1247	C₂×C₄	—	8	1	no	—
1248	C₂×C₄	—	8	2	no	—
1249	C₂×C₄	—	8	1	no	—
1250	C₂×C₄	—	8	2	no	—
1251	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1252	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1253	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1254	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1255	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1256	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1257	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1258	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1259	C₈	—	2	1	no	—
1260	C₈	—	2	1	no	—
1261	C₈	—	2	1	no	—
1262	C₈	—	2	1	no	—
1263	C₈	—	2	2	no	—
1264	C₈	—	2	2	no	—
1265	C₂²	—	2	1	no	—
1266	C₂²	—	2	1	no	—
1267	C₂²	—	2	2	no	—
1268	C₂²	—	2	2	no	—
1269	C₂²	—	2	1	no	—
1270	C₂²	—	2	1	no	—
1271	C₂²	—	2	1	no	—
1272	C₂²	—	2	1	no	—
1273	C₂²	—	2	2	no	—
1274	C₂²	—	2	2	no	—
1275	C₂²	—	2	1	no	—
1276	C₂²	—	2	1	no	—
1277	C₂²	—	2	2	no	—
1278	C₂²	—	2	2	no	—
1279	C₂²	—	4	2	no	—
1280	C₂²	—	4	1	no	—
1281	C₂²	—	4	1	no	—
1282	C₂²	—	4	1	no	—
1283	C₂²	—	4	2	no	—
1284	C₂²	—	4	1	no	—
1285	C₂²	—	4	1	no	—
1286	C₂²	—	4	2	no	—
1287	C₂²	—	4	1	no	—
1288	C₂²	—	8	2	no	—
1289	C₂²	—	8	4	no	—
1290	C₂²	—	16	2	no	—
1291	C₂²	—	16	4	no	—
1292	C₂²	C₁₃×#534	1	2	yes	—
1293	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1294	C₄	—	2	1	no	—
1295	C₄	—	2	1	no	—
1296	C₄	—	2	2	no	—
1297	C₄	—	2	2	no	—
1298	C₄	—	4	2	no	—
1299	C₄	—	4	1	no	—
1300	C₄	—	4	2	no	—
1301	C₄	—	4	1	no	—
1302	C₄	—	4	1	no	—
1303	C₄	—	4	1	no	—
1304	C₄	—	4	1	no	—
1305	C₄	—	4	2	no	—
1306	C₄	—	4	1	no	—
1307	C₄	C₁₃×#534	1	2	yes	—
1308	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1309	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1310	C₂	—	2	2	no	—
1311	C₂	—	4	1	no	—
1312	C₂	—	4	2	no	—
1313	C₂	—	4	2	no	—
1314	C₂	—	4	1	no	—
1315	C₂	—	8	2	no	—
1316	C₂	—	8	1	no	—
1317	C₂	—	8	1	no	—
1318	C₂	C₂×C₁₃×#534	1	1	yes	characteristic
1319	C₂	C₁₃×#3585	1	1	yes	characteristic
1320	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 ◁ C₂²×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3489	C₂	semidirect
2. C₁₃×#3488	C₂	semidirect
3. C₁₃×#3203	C₂	semidirect
4. C₁₃×#3201	C₂	semidirect
5. C₁₃×#3200	C₂	semidirect
6. C₁₃×#3198	C₂	semidirect
7. C₁₃×#3197	C₂	semidirect
8. C₁₃×#3196	C₂	semidirect
9. C₁₃×#3194	C₂	semidirect
10. C₁₃×#3193	C₂	semidirect
11. C₁₃×#3098	C₂	semidirect
12. C₁₃×#3098	C₂	semidirect
13. C₁₃×#3097	C₂	semidirect
14. C₁₃×#3096	C₂	semidirect
15. C₁₃×#3056	C₂	semidirect
16. C₁₃×#3055	C₂	semidirect
17. C₁₃×#3054	C₂	semidirect
18. C₂×C₁₃×#468	C₂	semidirect
19. C₁₃×#3013	C₂	semidirect
20. C₁₃×#3012	C₂	semidirect
21. C₁₃×#3010	C₂	semidirect
22. C₁₃×#3009	C₂	semidirect
23. C₁₃×#2879	C₂	semidirect
24. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
27. C₂×C₁₃×#137	C₂²	semidirect
28. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
29. C₂×C₁₃×#135	C₂²	semidirect
30. C₂²×C₁₃×SD₁₆	C₂²	semidirect
31. C₂²×C₁₃×M₁₆	C₂²	semidirect
32. C₂²×C₁₃×M₁₆	C₂²	semidirect
48. C₁₃×#537	C₂²	semidirect
50. C₁₃×#536	C₂²	semidirect
55. C₁₃×#525	C₂²	semidirect
56. C₁₃×#525	C₂²	semidirect
57. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
58. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
62. C₁₃×#520	C₂²	semidirect
63. C₁₃×#485	C₂²	semidirect
64. C₁₃×#485	C₂²	semidirect
65. C₁₃×#485	C₂²	semidirect
66. C₁₃×#485	C₂²	semidirect
67. C₁₃×#484	C₂²	semidirect
68. C₁₃×#484	C₂²	semidirect
69. C₁₃×#484	C₂²	semidirect
70. C₁₃×#483	C₂²	semidirect
71. C₁₃×#482	C₂²	semidirect
72. C₁₃×#482	C₂²	semidirect
73. C₁₃×#482	C₂²	semidirect
74. C₁₃×#482	C₂²	semidirect
75. C₁₃×#481	C₂²	semidirect
76. C₁₃×#480	C₂²	semidirect
77. C₁₃×#480	C₂²	semidirect
78. C₁₃×#480	C₂²	semidirect
79. C₁₃×#470	C₂²	semidirect
80. C₁₃×#470	C₂²	semidirect
81. C₁₃×#470	C₂²	semidirect
82. C₁₃×#469	C₂²	semidirect
83. C₁₃×#469	C₂²	semidirect
84. C₁₃×#469	C₂²	semidirect
85. C₁₃×#468	C₂²	semidirect
86. C₁₃×#468	C₂²	semidirect
87. C₁₃×#468	C₂²	semidirect
88. C₁₃×#468	C₂²	semidirect
89. C₁₃×#468	C₂²	semidirect
90. C₁₃×#468	C₂²	semidirect
91. C₁₃×#468	C₂²	semidirect
92. C₁₃×#468	C₂²	semidirect
93. C₁₃×#468	C₂²	semidirect
94. C₁₃×#468	C₂²	semidirect
95. C₁₃×#467	C₂²	semidirect
96. C₁₃×#466	C₂²	semidirect
97. C₁₃×#465	C₂²	semidirect
98. C₁₃×#465	C₂²	semidirect
99. C₁₃×#452	C₂²	semidirect
100. C₁₃×#452	C₂²	semidirect
101. C₁₃×#452	C₂²	semidirect
102. C₁₃×#452	C₂²	semidirect
103. C₁₃×#451	C₂²	semidirect
104. C₁₃×#450	C₂²	semidirect
105. C₁₃×#450	C₂²	semidirect
106. C₁₃×#450	C₂²	semidirect
107. C₁₃×#449	C₂²	semidirect
108. C₁₃×#449	C₂²	semidirect
109. C₁₃×#449	C₂²	semidirect
110. C₁₃×#449	C₂²	semidirect
111. C₁₃×#448	C₂²	semidirect
112. C₁₃×#448	C₂²	semidirect
113. C₁₃×#448	C₂²	semidirect
114. C₁₃×#447	C₂²	semidirect
115. C₁₃×#428	C₂²	semidirect
116. C₁₃×#428	C₂²	semidirect
117. C₁₃×#427	C₂²	semidirect
118. C₂×C₁₃×#107	C₂²	semidirect
119. C₁₃×#419	C₂²	semidirect
120. C₁₃×#418	C₂²	semidirect
121. C₁₃×#417	C₂²	semidirect
122. C₁₃×#417	C₂²	semidirect
123. C₁₃×#416	C₂²	semidirect
124. C₁₃×#416	C₂²	semidirect
125. C₂×C₁₃×#103	C₂²	semidirect
126. C₂×C₁₃×#102	C₂²	semidirect
129. C₁₃×#408	C₂²	semidirect
130. C₁₃×#408	C₂²	semidirect
131. C₁₃×#408	C₂²	semidirect
132. C₁₃×#408	C₂²	semidirect
133. C₁₃×#407	C₂²	semidirect
134. C₁₃×#407	C₂²	semidirect
324. #60772	C₁₃	direct (N × H)
498. #3489	C₂×C₁₃	semidirect
499. #3488	C₂×C₁₃	semidirect
500. #3203	C₂×C₁₃	semidirect
501. #3201	C₂×C₁₃	semidirect
502. #3200	C₂×C₁₃	semidirect
503. #3198	C₂×C₁₃	semidirect
504. #3197	C₂×C₁₃	semidirect
505. #3196	C₂×C₁₃	semidirect
506. #3194	C₂×C₁₃	semidirect
507. #3193	C₂×C₁₃	semidirect
508. #3098	C₂×C₁₃	semidirect
509. #3098	C₂×C₁₃	semidirect
510. #3097	C₂×C₁₃	semidirect
511. #3096	C₂×C₁₃	semidirect
512. #3056	C₂×C₁₃	semidirect
513. #3055	C₂×C₁₃	semidirect
514. #3054	C₂×C₁₃	semidirect
515. C₂×#468	C₂×C₁₃	semidirect
516. #3013	C₂×C₁₃	semidirect
517. #3012	C₂×C₁₃	semidirect
518. #3010	C₂×C₁₃	semidirect
519. #3009	C₂×C₁₃	semidirect
520. #2879	C₂×C₁₃	semidirect
628. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
631. C₂×#137	C₂²×C₁₃	semidirect
632. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
633. C₂×#135	C₂²×C₁₃	semidirect
634. C₂²×SD₁₆	C₂²×C₁₃	semidirect
635. C₂²×M₁₆	C₂²×C₁₃	semidirect
636. C₂²×M₁₆	C₂²×C₁₃	semidirect
652. #537	C₂²×C₁₃	semidirect
654. #536	C₂²×C₁₃	semidirect
659. #525	C₂²×C₁₃	semidirect
660. #525	C₂²×C₁₃	semidirect
661. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
662. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
666. #520	C₂²×C₁₃	semidirect
667. #485	C₂²×C₁₃	semidirect
668. #485	C₂²×C₁₃	semidirect
669. #485	C₂²×C₁₃	semidirect
670. #485	C₂²×C₁₃	semidirect
671. #484	C₂²×C₁₃	semidirect
672. #484	C₂²×C₁₃	semidirect
673. #484	C₂²×C₁₃	semidirect
674. #483	C₂²×C₁₃	semidirect
675. #482	C₂²×C₁₃	semidirect
676. #482	C₂²×C₁₃	semidirect
677. #482	C₂²×C₁₃	semidirect
678. #482	C₂²×C₁₃	semidirect
679. #481	C₂²×C₁₃	semidirect
680. #480	C₂²×C₁₃	semidirect
681. #480	C₂²×C₁₃	semidirect
682. #480	C₂²×C₁₃	semidirect
683. #470	C₂²×C₁₃	semidirect
684. #470	C₂²×C₁₃	semidirect
685. #470	C₂²×C₁₃	semidirect
686. #469	C₂²×C₁₃	semidirect
687. #469	C₂²×C₁₃	semidirect
688. #469	C₂²×C₁₃	semidirect
689. #468	C₂²×C₁₃	semidirect
690. #468	C₂²×C₁₃	semidirect
691. #468	C₂²×C₁₃	semidirect
692. #468	C₂²×C₁₃	semidirect
693. #468	C₂²×C₁₃	semidirect
694. #468	C₂²×C₁₃	semidirect
695. #468	C₂²×C₁₃	semidirect
696. #468	C₂²×C₁₃	semidirect
697. #468	C₂²×C₁₃	semidirect
698. #468	C₂²×C₁₃	semidirect
699. #467	C₂²×C₁₃	semidirect
700. #466	C₂²×C₁₃	semidirect
701. #465	C₂²×C₁₃	semidirect
702. #465	C₂²×C₁₃	semidirect
703. #452	C₂²×C₁₃	semidirect
704. #452	C₂²×C₁₃	semidirect
705. #452	C₂²×C₁₃	semidirect
706. #452	C₂²×C₁₃	semidirect
707. #451	C₂²×C₁₃	semidirect
708. #450	C₂²×C₁₃	semidirect
709. #450	C₂²×C₁₃	semidirect
710. #450	C₂²×C₁₃	semidirect
711. #449	C₂²×C₁₃	semidirect
712. #449	C₂²×C₁₃	semidirect
713. #449	C₂²×C₁₃	semidirect
714. #449	C₂²×C₁₃	semidirect
715. #448	C₂²×C₁₃	semidirect
716. #448	C₂²×C₁₃	semidirect
717. #448	C₂²×C₁₃	semidirect
718. #447	C₂²×C₁₃	semidirect
719. #428	C₂²×C₁₃	semidirect
720. #428	C₂²×C₁₃	semidirect
721. #427	C₂²×C₁₃	semidirect
722. C₂×#107	C₂²×C₁₃	semidirect
723. #419	C₂²×C₁₃	semidirect
724. #418	C₂²×C₁₃	semidirect
725. #417	C₂²×C₁₃	semidirect
726. #417	C₂²×C₁₃	semidirect
727. #416	C₂²×C₁₃	semidirect
728. #416	C₂²×C₁₃	semidirect
729. C₂×#103	C₂²×C₁₃	semidirect
730. C₂×#102	C₂²×C₁₃	semidirect
733. #408	C₂²×C₁₃	semidirect
734. #408	C₂²×C₁₃	semidirect
735. #408	C₂²×C₁₃	semidirect
736. #408	C₂²×C₁₃	semidirect
737. #407	C₂²×C₁₃	semidirect
738. #407	C₂²×C₁₃	semidirect
1157. C₁₃	#60772	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×#3489	2
C₁₃×#3488	2
C₁₃×#3203	2
C₁₃×#3201	2
C₁₃×#3200	2
C₁₃×#3198	2
C₁₃×#3197	2
C₁₃×#3196	2
C₁₃×#3194	2
C₁₃×#3193	2
C₁₃×#3098	2
C₁₃×#3097	2
C₁₃×#3096	2
C₁₃×#3056	2
C₁₃×#3055	2
C₁₃×#3054	2
C₂×C₁₃×#468	2
C₁₃×#3013	2
C₁₃×#3012	2
C₁₃×#3010	2
C₁₃×#3009	2
C₁₃×#2879	2
#60772	13

Subgroups — C13×#60772 #15747111

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60772 #15747111