Subgroups — C₁₃×#61603 #15747942

Order 3328.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1370 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3520	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#548	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3327	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3313	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3308	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3300	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3285	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3277	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3270	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3269	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3215	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3211	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3196	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3193	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3189	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3188	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3117	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3104	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3007	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3004	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3002	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#451	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2974	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
25	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
27	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
28	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
29	C₂²×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
30	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#554	—	2	1	no	—
32	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#551	—	2	1	no	—
35	C₁₃×#551	—	2	1	no	—
36	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#548	—	2	1	no	—
38	C₁₃×#548	—	2	1	no	—
39	C₁₃×#548	—	2	1	no	—
40	C₁₃×#548	—	2	1	no	—
41	C₁₃×#548	C₂²	1	2	yes	—
42	C₁₃×#548	C₂²	1	2	yes	—
43	C₁₃×#548	C₂²	1	2	yes	—
44	C₁₃×#548	C₂²	1	2	yes	—
45	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#546	—	2	1	no	—
50	C₁₃×#542	—	2	1	no	—
51	C₁₃×#539	—	2	1	no	—
52	C₁₃×#539	—	2	1	no	—
53	C₁₃×#533	C₂²	1	1	yes	characteristic
54	C₁₃×#529	C₂²	1	1	yes	characteristic
55	C₂×C₁₃×#124	—	2	1	no	—
56	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
57	C₁₃×#525	C₂²	1	1	yes	characteristic
58	C₁₃×#525	C₂²	1	1	yes	characteristic
59	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
60	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
61	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
62	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
63	C₂×C₁₃×#121	—	2	1	no	—
64	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
65	C₁₃×#520	—	2	1	no	—
66	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
67	C₂×C₄×D₄×C₁₃	—	2	1	no	—
68	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
69	C₁₃×#497	C₂²	1	2	yes	complemented
70	C₁₃×#495	C₂²	1	2	yes	complemented
71	C₁₃×#489	C₂²	1	2	yes	complemented
72	C₁₃×#488	C₂²	1	2	yes	complemented
73	C₁₃×#485	C₂²	1	2	yes	complemented
74	C₁₃×#484	C₂²	1	1	yes	characteristic
75	C₁₃×#484	C₂²	1	1	yes	characteristic
76	C₁₃×#484	C₂²	1	1	yes	characteristic
77	C₁₃×#484	C₂²	1	2	yes	complemented
78	C₁₃×#482	C₂²	1	2	yes	complemented
79	C₁₃×#481	C₂²	1	1	yes	characteristic
80	C₁₃×#480	C₂²	1	2	yes	complemented
81	C₁₃×#479	C₂²	1	2	yes	complemented
82	C₁₃×#477	C₂²	1	2	yes	complemented
83	C₁₃×#470	C₂²	1	2	yes	complemented
84	C₁₃×#468	C₂²	1	2	yes	complemented
85	C₁₃×#468	C₂²	1	2	yes	complemented
86	C₁₃×#468	C₂²	1	2	yes	complemented
87	C₁₃×#467	C₂²	1	2	yes	complemented
88	C₁₃×#467	C₂²	1	2	yes	complemented
89	C₁₃×#466	C₂²	1	2	yes	complemented
90	C₁₃×#465	C₂²	1	2	yes	complemented
91	C₁₃×#464	C₂²	1	2	yes	complemented
92	C₁₃×#464	C₂²	1	2	yes	complemented
93	C₁₃×#464	C₂²	1	2	yes	complemented
94	C₁₃×#464	C₂²	1	2	yes	complemented
95	C₁₃×#463	C₂²	1	2	yes	complemented
96	C₁₃×#462	C₂²	1	2	yes	complemented
97	C₁₃×#452	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×#451	C₂²	1	1	yes	characteristic
102	C₁₃×#451	C₂²	1	1	yes	characteristic
103	C₁₃×#451	C₂²	1	1	yes	characteristic
104	C₁₃×#451	C₂²	1	1	yes	characteristic
105	C₁₃×#451	C₂²	1	1	yes	characteristic
106	C₁₃×#451	C₂²	1	1	yes	characteristic
107	C₁₃×#451	C₂²	1	2	yes	complemented
108	C₁₃×#451	C₂²	1	2	yes	complemented
109	C₁₃×#451	C₂²	1	2	yes	complemented
110	C₁₃×#451	C₂²	1	2	yes	complemented
111	C₁₃×#450	C₂²	1	1	yes	characteristic
112	C₁₃×#450	C₂²	1	1	yes	characteristic
113	C₁₃×#450	C₂²	1	1	yes	characteristic
114	C₁₃×#449	C₂²	1	2	yes	complemented
115	C₁₃×#449	C₂²	1	2	yes	complemented
116	C₁₃×#448	C₂²	1	1	yes	characteristic
117	C₁₃×#448	C₂²	1	1	yes	characteristic
118	C₁₃×#448	C₂²	1	2	yes	complemented
119	C₁₃×#448	C₂²	1	2	yes	complemented
120	C₁₃×#447	C₂²	1	1	yes	characteristic
121	C₁₃×#441	C₂²	1	2	yes	complemented
122	C₁₃×#440	C₂²	1	2	yes	complemented
123	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
124	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
125	C₁₃×#436	C₂²	1	2	yes	complemented
126	C₁₃×#435	C₂²	1	2	yes	complemented
127	C₁₃×#435	C₂²	1	2	yes	complemented
128	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
129	C₁₃×#432	C₂²	1	1	yes	characteristic
130	C₁₃×#431	C₂²	1	1	yes	characteristic
131	C₁₃×#419	C₂²	1	2	yes	complemented
132	C₁₃×#417	C₂²	1	2	yes	complemented
133	C₁₃×#416	C₂²	1	2	yes	complemented
134	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
135	C₁₃×#407	C₂²	1	1	yes	characteristic
136	C₁₃×#407	C₂²	1	1	yes	characteristic
137	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
138	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	—	2	1	no	—
142	C₂×C₁₃×#41	—	4	4	no	—
143	C₂×C₁₃×#41	C₂³	1	2	yes	—
144	C₂×C₁₃×#41	C₂³	1	2	yes	—
145	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
147	C₂²×Q₈×C₁₃	—	2	1	no	—
148	C₂²×Q₈×C₁₃	—	2	1	no	—
149	C₂²×Q₈×C₁₃	—	2	1	no	—
150	C₂²×Q₈×C₁₃	—	4	4	no	—
151	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
152	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
153	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
154	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
155	C₂²×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	D₄	1	1	yes	characteristic
160	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
161	C₂³×C₄×C₁₃	—	2	1	no	—
162	C₂³×C₄×C₁₃	—	2	1	no	—
163	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
164	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
165	C₁₃×#137	—	4	4	no	—
166	C₁₃×#137	—	4	4	no	—
167	C₁₃×#135	—	4	4	no	—
168	C₂×C₁₃×Q₁₆	—	4	4	no	—
169	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
170	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
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×Q₁₆	C₂³	1	2	yes	—
175	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
176	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
177	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
178	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
179	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
180	C₂×C₁₃×D₈	C₂³	1	2	yes	—
181	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
182	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
183	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
184	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
185	C₁₃×C₄⋊Q₈	—	2	1	no	—
186	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
187	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
188	C₁₃×#126	—	2	1	no	—
189	C₁₃×#126	—	2	1	no	—
190	C₁₃×#126	—	2	1	no	—
191	C₁₃×#126	—	2	1	no	—
192	C₁₃×#126	—	2	1	no	—
193	C₁₃×#125	—	2	1	no	—
194	C₁₃×#125	—	2	1	no	—
195	C₁₃×#125	—	2	1	no	—
196	C₁₃×#125	C₂³	1	1	yes	characteristic
197	C₁₃×#124	—	2	1	no	—
198	C₁₃×#124	—	2	2	no	—
199	C₁₃×#124	—	2	2	no	—
200	C₁₃×#124	—	2	2	no	—
201	C₁₃×#124	—	2	2	no	—
202	C₁₃×#124	—	2	1	no	—
203	C₁₃×#124	—	2	1	no	—
204	C₁₃×#124	—	2	1	no	—
205	C₁₃×#124	—	2	1	no	—
206	C₁₃×#124	C₂³	1	2	yes	—
207	C₁₃×#124	C₂³	1	2	yes	—
208	C₁₃×#124	C₂³	1	1	yes	characteristic
209	C₁₃×#123	—	2	1	no	—
210	C₁₃×#123	—	2	1	no	—
211	C₁₃×#123	—	2	1	no	—
212	C₁₃×#123	—	2	1	no	—
213	C₁₃×#123	—	2	1	no	—
214	C₁₃×#123	—	2	1	no	—
215	C₁₃×#123	—	2	1	no	—
216	C₁₃×#123	—	2	1	no	—
217	C₁₃×#123	—	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	—	2	2	no	—
226	C₁₃×C₂²⋊Q₈	—	2	2	no	—
227	C₁₃×C₂²⋊Q₈	—	2	2	no	—
228	C₁₃×C₂²⋊Q₈	—	2	2	no	—
229	C₁₃×C₂²⋊Q₈	—	2	1	no	—
230	C₁₃×C₂²⋊Q₈	—	2	1	no	—
231	C₁₃×C₂²⋊Q₈	—	2	1	no	—
232	C₁₃×C₂²⋊Q₈	—	2	1	no	—
233	C₁₃×C₂²⋊Q₈	—	2	1	no	—
234	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
235	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
236	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
239	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
240	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
241	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
242	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
243	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
244	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
245	C₁₃×#121	—	2	2	no	—
246	C₁₃×#121	—	2	2	no	—
247	C₁₃×#121	—	2	2	no	—
248	C₁₃×#121	—	2	2	no	—
249	C₁₃×#121	—	2	1	no	—
250	C₁₃×#121	—	2	1	no	—
251	C₁₃×#121	—	2	1	no	—
252	C₁₃×#121	—	2	1	no	—
253	C₁₃×#121	—	2	1	no	—
254	C₁₃×#121	C₂³	1	1	yes	characteristic
255	C₁₃×#121	C₂³	1	1	yes	characteristic
256	C₁₃×#121	C₂³	1	2	yes	—
257	C₁₃×#121	C₂³	1	1	yes	characteristic
258	C₁₃×#121	C₂³	1	2	yes	—
259	C₁₃×#120	—	2	1	no	—
260	C₁₃×#120	—	2	1	no	—
261	C₄×Q₈×C₁₃	—	2	1	no	—
262	C₄×Q₈×C₁₃	—	2	1	no	—
263	C₄×Q₈×C₁₃	—	2	1	no	—
264	C₄×Q₈×C₁₃	—	2	1	no	—
265	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
266	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
267	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
268	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
269	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
270	C₄×D₄×C₁₃	—	2	1	no	—
271	C₄×D₄×C₁₃	—	2	1	no	—
272	C₄×D₄×C₁₃	—	2	1	no	—
273	C₄×D₄×C₁₃	—	2	1	no	—
274	C₄×D₄×C₁₃	—	2	1	no	—
275	C₄×D₄×C₁₃	—	2	1	no	—
276	C₄×D₄×C₁₃	—	2	2	no	—
277	C₄×D₄×C₁₃	—	2	2	no	—
278	C₄×D₄×C₁₃	—	2	2	no	—
279	C₄×D₄×C₁₃	—	2	2	no	—
280	C₄×D₄×C₁₃	—	2	1	no	—
281	C₄×D₄×C₁₃	—	2	1	no	—
282	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
283	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
284	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
285	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
286	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
287	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
288	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
289	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
290	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
291	C₁₃×#117	—	2	1	no	—
292	C₁₃×#117	—	2	1	no	—
293	C₁₃×#117	—	2	1	no	—
294	C₁₃×#117	—	2	1	no	—
295	C₁₃×#117	C₂³	1	1	yes	characteristic
296	C₁₃×#117	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
301	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
302	C₂×C₁₃×C₄⋊C₄	D₄	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	1	yes	characteristic
306	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
307	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
308	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
309	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
310	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
311	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
312	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
313	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
314	C₂×C₄²×C₁₃	—	2	1	no	—
315	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
316	C₁₃×#107	C₂³	1	2	yes	—
317	C₁₃×#107	C₂³	1	2	yes	—
318	C₁₃×#107	C₂³	1	2	yes	—
319	C₁₃×#106	C₂³	1	2	yes	—
320	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
321	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
322	C₁₃×#103	C₂³	1	2	yes	—
323	C₁₃×#103	C₂³	1	2	yes	—
324	C₁₃×#103	C₂³	1	2	yes	—
325	C₁₃×#103	C₂³	1	2	yes	—
326	C₁₃×#103	C₂³	1	2	yes	—
327	C₁₃×#103	C₂³	1	2	yes	—
328	C₁₃×#103	C₂³	1	2	yes	—
329	C₁₃×#103	C₂³	1	2	yes	—
330	C₁₃×#103	C₂³	1	2	yes	—
331	C₁₃×#103	C₂³	1	2	yes	—
332	C₁₃×#103	C₂³	1	2	yes	—
333	C₁₃×#102	C₂³	1	2	yes	—
334	C₁₃×#102	C₂³	1	2	yes	—
335	C₁₃×#102	C₂³	1	2	yes	—
336	C₁₃×#102	C₂³	1	2	yes	—
337	C₁₃×#102	C₂³	1	2	yes	—
338	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
339	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
340	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
341	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
342	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
343	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
344	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
345	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
346	C₁₃×#97	C₂³	1	2	yes	—
347	C₄×C₈×C₁₃	C₂³	1	2	yes	—
348	#61603	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
349	C₂⁴×C₁₃	—	2	1	no	—
350	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
351	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
352	C₁₃×#41	—	2	4	no	—
353	C₁₃×#41	—	2	4	no	—
354	C₁₃×#41	—	4	2	no	—
355	C₁₃×#41	—	4	2	no	—
356	C₁₃×#41	—	4	2	no	—
357	C₁₃×#41	—	4	2	no	—
358	C₁₃×#41	—	4	4	no	—
359	C₁₃×#41	—	4	4	no	—
360	C₁₃×#41	—	4	4	no	—
361	C₂×Q₈×C₁₃	—	2	4	no	—
362	C₂×Q₈×C₁₃	—	2	1	no	—
363	C₂×Q₈×C₁₃	—	2	1	no	—
364	C₂×Q₈×C₁₃	—	2	2	no	—
365	C₂×Q₈×C₁₃	—	2	2	no	—
366	C₂×Q₈×C₁₃	—	2	1	no	—
367	C₂×Q₈×C₁₃	—	2	1	no	—
368	C₂×Q₈×C₁₃	—	2	1	no	—
369	C₂×Q₈×C₁₃	—	2	4	no	—
370	C₂×Q₈×C₁₃	—	2	4	no	—
371	C₂×Q₈×C₁₃	—	4	2	no	—
372	C₂×Q₈×C₁₃	—	4	2	no	—
373	C₂×Q₈×C₁₃	—	4	2	no	—
374	C₂×Q₈×C₁₃	—	4	4	no	—
375	C₂×Q₈×C₁₃	—	4	2	no	—
376	C₂×Q₈×C₁₃	—	4	2	no	—
377	C₂×Q₈×C₁₃	—	4	4	no	—
378	C₂×Q₈×C₁₃	—	4	4	no	—
379	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
380	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
384	C₂×D₄×C₁₃	—	2	1	no	—
385	C₂×D₄×C₁₃	—	2	1	no	—
386	C₂×D₄×C₁₃	—	2	1	no	—
387	C₂×D₄×C₁₃	—	2	2	no	—
388	C₂×D₄×C₁₃	—	2	2	no	—
389	C₂×D₄×C₁₃	—	2	2	no	—
390	C₂×D₄×C₁₃	—	2	2	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	—	4	2	no	—
395	C₂×D₄×C₁₃	—	4	4	no	—
396	C₂×D₄×C₁₃	—	4	2	no	—
397	C₂×D₄×C₁₃	—	4	4	no	—
398	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
399	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
400	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
401	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
402	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
403	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	—	2	1	no	—
405	C₂²×C₄×C₁₃	—	2	1	no	—
406	C₂²×C₄×C₁₃	—	2	1	no	—
407	C₂²×C₄×C₁₃	—	2	1	no	—
408	C₂²×C₄×C₁₃	—	2	1	no	—
409	C₂²×C₄×C₁₃	—	2	2	no	—
410	C₂²×C₄×C₁₃	—	2	2	no	—
411	C₂²×C₄×C₁₃	—	2	1	no	—
412	C₂²×C₄×C₁₃	—	2	1	no	—
413	C₂²×C₄×C₁₃	—	2	1	no	—
414	C₂²×C₄×C₁₃	—	2	2	no	—
415	C₂²×C₄×C₁₃	—	2	2	no	—
416	C₂²×C₄×C₁₃	—	2	1	no	—
417	C₂²×C₄×C₁₃	—	2	1	no	—
418	C₂²×C₄×C₁₃	—	4	2	no	—
419	C₂²×C₄×C₁₃	—	4	2	no	—
420	C₂²×C₄×C₁₃	—	4	4	no	—
421	C₂²×C₄×C₁₃	—	4	4	no	—
422	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
423	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
424	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
425	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
426	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
427	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
428	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
429	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
430	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
434	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
435	C₁₃×Q₁₆	—	2	4	no	—
436	C₁₃×Q₁₆	—	2	4	no	—
437	C₁₃×Q₁₆	—	2	4	no	—
438	C₁₃×Q₁₆	—	4	2	no	—
439	C₁₃×Q₁₆	—	4	2	no	—
440	C₁₃×Q₁₆	—	4	2	no	—
441	C₁₃×SD₁₆	—	2	4	no	—
442	C₁₃×SD₁₆	—	4	2	no	—
443	C₁₃×SD₁₆	—	4	2	no	—
444	C₁₃×SD₁₆	—	4	2	no	—
445	C₁₃×SD₁₆	—	4	2	no	—
446	C₁₃×D₈	—	4	2	no	—
447	C₁₃×M₁₆	—	4	2	no	—
448	C₁₃×M₁₆	—	4	2	no	—
449	C₂×C₈×C₁₃	—	4	2	no	—
450	C₂×C₈×C₁₃	—	4	2	no	—
451	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
452	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
453	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
454	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
455	C₁₃×C₄⋊C₄	—	2	1	no	—
456	C₁₃×C₄⋊C₄	—	2	1	no	—
457	C₁₃×C₄⋊C₄	—	2	1	no	—
458	C₁₃×C₄⋊C₄	—	2	2	no	—
459	C₁₃×C₄⋊C₄	—	2	2	no	—
460	C₁₃×C₄⋊C₄	—	2	1	no	—
461	C₁₃×C₄⋊C₄	—	2	1	no	—
462	C₁₃×C₄⋊C₄	—	2	1	no	—
463	C₁₃×C₄⋊C₄	—	2	1	no	—
464	C₁₃×C₄⋊C₄	—	2	1	no	—
465	C₁₃×C₄⋊C₄	—	2	2	no	—
466	C₁₃×C₄⋊C₄	—	2	2	no	—
467	C₁₃×C₄⋊C₄	—	2	1	no	—
468	C₁₃×C₄⋊C₄	—	2	1	no	—
469	C₁₃×C₄⋊C₄	—	2	1	no	—
470	C₁₃×C₄⋊C₄	—	2	1	no	—
471	C₁₃×C₄⋊C₄	—	2	1	no	—
472	C₁₃×C₄⋊C₄	—	2	1	no	—
473	C₁₃×C₄⋊C₄	—	2	1	no	—
474	C₁₃×C₄⋊C₄	—	2	1	no	—
475	C₁₃×C₄⋊C₄	—	2	1	no	—
476	C₁₃×C₄⋊C₄	—	2	1	no	—
477	C₁₃×C₄⋊C₄	—	2	1	no	—
478	C₁₃×C₄⋊C₄	—	2	1	no	—
479	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
480	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
481	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
482	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
483	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
484	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
485	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
486	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
487	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
488	C₁₃×C₂²⋊C₄	—	2	1	no	—
489	C₁₃×C₂²⋊C₄	—	2	1	no	—
490	C₁₃×C₂²⋊C₄	—	2	1	no	—
491	C₁₃×C₂²⋊C₄	—	2	2	no	—
492	C₁₃×C₂²⋊C₄	—	2	2	no	—
493	C₁₃×C₂²⋊C₄	—	2	1	no	—
494	C₁₃×C₂²⋊C₄	—	2	1	no	—
495	C₁₃×C₂²⋊C₄	—	2	1	no	—
496	C₁₃×C₂²⋊C₄	—	2	1	no	—
497	C₁₃×C₂²⋊C₄	—	2	1	no	—
498	C₁₃×C₂²⋊C₄	—	2	1	no	—
499	C₁₃×C₂²⋊C₄	—	2	1	no	—
500	C₁₃×C₂²⋊C₄	—	2	1	no	—
501	C₁₃×C₂²⋊C₄	—	2	2	no	—
502	C₁₃×C₂²⋊C₄	—	2	2	no	—
503	C₁₃×C₂²⋊C₄	—	2	2	no	—
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	1	no	—
508	C₁₃×C₂²⋊C₄	—	2	1	no	—
509	C₁₃×C₂²⋊C₄	—	2	1	no	—
510	C₁₃×C₂²⋊C₄	—	2	1	no	—
511	C₁₃×C₂²⋊C₄	—	2	1	no	—
512	C₁₃×C₂²⋊C₄	—	2	1	no	—
513	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
514	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
515	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
516	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
517	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
518	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
519	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
520	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
521	C₄²×C₁₃	—	2	2	no	—
522	C₄²×C₁₃	—	2	2	no	—
523	C₄²×C₁₃	—	2	1	no	—
524	C₄²×C₁₃	—	2	1	no	—
525	C₄²×C₁₃	—	2	1	no	—
526	C₄²×C₁₃	—	2	1	no	—
527	C₄²×C₁₃	—	2	1	no	—
528	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
529	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
530	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
531	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
532	#3520	C₂×C₁₃	1	1	yes	characteristic, complemented
533	C₂×#548	C₂×C₁₃	1	1	yes	characteristic, complemented
534	#3327	C₂×C₁₃	1	2	yes	complemented
535	#3313	C₂×C₁₃	1	2	yes	complemented
536	#3308	C₂×C₁₃	1	2	yes	complemented
537	#3300	C₂×C₁₃	1	2	yes	complemented
538	#3285	C₂×C₁₃	1	2	yes	complemented
539	#3277	C₂×C₁₃	1	2	yes	complemented
540	#3270	C₂×C₁₃	1	2	yes	complemented
541	#3269	C₂×C₁₃	1	2	yes	complemented
542	#3215	C₂×C₁₃	1	1	yes	characteristic, complemented
543	#3211	C₂×C₁₃	1	1	yes	characteristic, complemented
544	#3196	C₂×C₁₃	1	1	yes	characteristic, complemented
545	#3193	C₂×C₁₃	1	1	yes	characteristic, complemented
546	#3189	C₂×C₁₃	1	1	yes	characteristic, complemented
547	#3188	C₂×C₁₃	1	1	yes	characteristic, complemented
548	#3117	C₂×C₁₃	1	1	yes	characteristic, complemented
549	#3104	C₂×C₁₃	1	1	yes	characteristic, complemented
550	#3007	C₂×C₁₃	1	1	yes	characteristic, complemented
551	#3004	C₂×C₁₃	1	1	yes	characteristic, complemented
552	#3002	C₂×C₁₃	1	1	yes	characteristic, complemented
553	C₂×#451	C₂×C₁₃	1	1	yes	characteristic, complemented
554	#2974	C₂×C₁₃	1	1	yes	characteristic, complemented
555	C₂³×C₁₃	—	2	2	no	—
556	C₂³×C₁₃	—	2	2	no	—
557	C₂³×C₁₃	—	2	2	no	—
558	C₂³×C₁₃	—	2	1	no	—
559	C₂³×C₁₃	—	2	2	no	—
560	C₂³×C₁₃	—	4	1	no	—
561	C₂³×C₁₃	—	4	1	no	—
562	C₂³×C₁₃	—	4	1	no	—
563	C₂³×C₁₃	—	4	2	no	—
564	C₂³×C₁₃	—	4	2	no	—
565	C₂³×C₁₃	—	4	2	no	—
566	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
567	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
568	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
569	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
570	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
571	Q₈×C₁₃	—	2	4	no	—
572	Q₈×C₁₃	—	2	2	no	—
573	Q₈×C₁₃	—	2	2	no	—
574	Q₈×C₁₃	—	2	2	no	—
575	Q₈×C₁₃	—	2	2	no	—
576	Q₈×C₁₃	—	2	2	no	—
577	Q₈×C₁₃	—	2	2	no	—
578	Q₈×C₁₃	—	4	4	no	—
579	Q₈×C₁₃	—	4	4	no	—
580	Q₈×C₁₃	—	4	2	no	—
581	Q₈×C₁₃	—	4	2	no	—
582	Q₈×C₁₃	—	8	1	no	—
583	Q₈×C₁₃	—	8	1	no	—
584	Q₈×C₁₃	H(5,𝔽₂)	1	4	yes	—
585	D₄×C₁₃	—	2	2	no	—
586	D₄×C₁₃	—	2	2	no	—
587	D₄×C₁₃	—	2	2	no	—
588	D₄×C₁₃	—	2	2	no	—
589	D₄×C₁₃	—	2	2	no	—
590	D₄×C₁₃	—	4	1	no	—
591	D₄×C₁₃	—	4	1	no	—
592	D₄×C₁₃	—	4	4	no	—
593	D₄×C₁₃	—	4	4	no	—
594	D₄×C₁₃	—	4	2	no	—
595	D₄×C₁₃	—	4	4	no	—
596	D₄×C₁₃	—	4	2	no	—
597	D₄×C₁₃	—	4	4	no	—
598	D₄×C₁₃	—	4	2	no	—
599	D₄×C₁₃	—	4	2	no	—
600	D₄×C₁₃	—	8	1	no	—
601	D₄×C₁₃	—	8	1	no	—
602	C₂×C₄×C₁₃	—	2	4	no	—
603	C₂×C₄×C₁₃	—	2	2	no	—
604	C₂×C₄×C₁₃	—	2	2	no	—
605	C₂×C₄×C₁₃	—	2	2	no	—
606	C₂×C₄×C₁₃	—	2	2	no	—
607	C₂×C₄×C₁₃	—	2	2	no	—
608	C₂×C₄×C₁₃	—	2	2	no	—
609	C₂×C₄×C₁₃	—	2	2	no	—
610	C₂×C₄×C₁₃	—	2	1	no	—
611	C₂×C₄×C₁₃	—	2	2	no	—
612	C₂×C₄×C₁₃	—	2	1	no	—
613	C₂×C₄×C₁₃	—	2	1	no	—
614	C₂×C₄×C₁₃	—	2	1	no	—
615	C₂×C₄×C₁₃	—	2	1	no	—
616	C₂×C₄×C₁₃	—	2	1	no	—
617	C₂×C₄×C₁₃	—	2	2	no	—
618	C₂×C₄×C₁₃	—	2	1	no	—
619	C₂×C₄×C₁₃	—	4	1	no	—
620	C₂×C₄×C₁₃	—	4	1	no	—
621	C₂×C₄×C₁₃	—	4	1	no	—
622	C₂×C₄×C₁₃	—	4	1	no	—
623	C₂×C₄×C₁₃	—	4	1	no	—
624	C₂×C₄×C₁₃	—	4	1	no	—
625	C₂×C₄×C₁₃	—	4	1	no	—
626	C₂×C₄×C₁₃	—	4	4	no	—
627	C₂×C₄×C₁₃	—	4	4	no	—
628	C₂×C₄×C₁₃	—	4	4	no	—
629	C₂×C₄×C₁₃	—	4	4	no	—
630	C₂×C₄×C₁₃	—	4	2	no	—
631	C₂×C₄×C₁₃	—	4	2	no	—
632	C₂×C₄×C₁₃	—	4	2	no	—
633	C₂×C₄×C₁₃	—	4	2	no	—
634	C₂×C₄×C₁₃	—	4	2	no	—
635	C₂×C₄×C₁₃	—	8	1	no	—
636	C₂×C₄×C₁₃	—	8	1	no	—
637	C₂×C₄×C₁₃	—	8	1	no	—
638	C₂×C₄×C₁₃	—	8	1	no	—
639	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
640	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
641	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
642	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
643	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
644	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
645	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
646	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
647	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
648	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
649	C₈×C₁₃	—	2	2	no	—
650	C₈×C₁₃	—	2	2	no	—
651	C₈×C₁₃	—	2	2	no	—
652	C₈×C₁₃	—	2	2	no	—
653	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
654	C₂³×Q₈	C₂²×C₁₃	1	1	yes	characteristic
655	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
656	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
657	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
658	C₂²×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
659	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
660	#554	—	2	1	no	—
661	#552	C₂²×C₁₃	1	1	yes	characteristic, complemented
662	#552	C₂²×C₁₃	1	1	yes	characteristic, complemented
663	#551	—	2	1	no	—
664	#551	—	2	1	no	—
665	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
666	#548	—	2	1	no	—
667	#548	—	2	1	no	—
668	#548	—	2	1	no	—
669	#548	—	2	1	no	—
670	#548	C₂²×C₁₃	1	2	yes	—
671	#548	C₂²×C₁₃	1	2	yes	—
672	#548	C₂²×C₁₃	1	2	yes	—
673	#548	C₂²×C₁₃	1	2	yes	—
674	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
675	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
676	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
677	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
678	#546	—	2	1	no	—
679	#542	—	2	1	no	—
680	#539	—	2	1	no	—
681	#539	—	2	1	no	—
682	#533	C₂²×C₁₃	1	1	yes	characteristic
683	#529	C₂²×C₁₃	1	1	yes	characteristic
684	C₂×#124	—	2	1	no	—
685	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
686	#525	C₂²×C₁₃	1	1	yes	characteristic
687	#525	C₂²×C₁₃	1	1	yes	characteristic
688	C₂×C₂²⋊Q₈	—	2	1	no	—
689	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
690	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
691	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
692	C₂×#121	—	2	1	no	—
693	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
694	#520	—	2	1	no	—
695	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
696	C₂×C₄×D₄	—	2	1	no	—
697	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
698	#497	C₂²×C₁₃	1	2	yes	complemented
699	#495	C₂²×C₁₃	1	2	yes	complemented
700	#489	C₂²×C₁₃	1	2	yes	complemented
701	#488	C₂²×C₁₃	1	2	yes	complemented
702	#485	C₂²×C₁₃	1	2	yes	complemented
703	#484	C₂²×C₁₃	1	1	yes	characteristic
704	#484	C₂²×C₁₃	1	1	yes	characteristic
705	#484	C₂²×C₁₃	1	1	yes	characteristic
706	#484	C₂²×C₁₃	1	2	yes	complemented
707	#482	C₂²×C₁₃	1	2	yes	complemented
708	#481	C₂²×C₁₃	1	1	yes	characteristic
709	#480	C₂²×C₁₃	1	2	yes	complemented
710	#479	C₂²×C₁₃	1	2	yes	complemented
711	#477	C₂²×C₁₃	1	2	yes	complemented
712	#470	C₂²×C₁₃	1	2	yes	complemented
713	#468	C₂²×C₁₃	1	2	yes	complemented
714	#468	C₂²×C₁₃	1	2	yes	complemented
715	#468	C₂²×C₁₃	1	2	yes	complemented
716	#467	C₂²×C₁₃	1	2	yes	complemented
717	#467	C₂²×C₁₃	1	2	yes	complemented
718	#466	C₂²×C₁₃	1	2	yes	complemented
719	#465	C₂²×C₁₃	1	2	yes	complemented
720	#464	C₂²×C₁₃	1	2	yes	complemented
721	#464	C₂²×C₁₃	1	2	yes	complemented
722	#464	C₂²×C₁₃	1	2	yes	complemented
723	#464	C₂²×C₁₃	1	2	yes	complemented
724	#463	C₂²×C₁₃	1	2	yes	complemented
725	#462	C₂²×C₁₃	1	2	yes	complemented
726	#452	C₂²×C₁₃	1	2	yes	complemented
727	#452	C₂²×C₁₃	1	2	yes	complemented
728	#452	C₂²×C₁₃	1	2	yes	complemented
729	#452	C₂²×C₁₃	1	2	yes	complemented
730	#451	C₂²×C₁₃	1	1	yes	characteristic
731	#451	C₂²×C₁₃	1	1	yes	characteristic
732	#451	C₂²×C₁₃	1	1	yes	characteristic
733	#451	C₂²×C₁₃	1	1	yes	characteristic
734	#451	C₂²×C₁₃	1	1	yes	characteristic
735	#451	C₂²×C₁₃	1	1	yes	characteristic
736	#451	C₂²×C₁₃	1	2	yes	complemented
737	#451	C₂²×C₁₃	1	2	yes	complemented
738	#451	C₂²×C₁₃	1	2	yes	complemented
739	#451	C₂²×C₁₃	1	2	yes	complemented
740	#450	C₂²×C₁₃	1	1	yes	characteristic
741	#450	C₂²×C₁₃	1	1	yes	characteristic
742	#450	C₂²×C₁₃	1	1	yes	characteristic
743	#449	C₂²×C₁₃	1	2	yes	complemented
744	#449	C₂²×C₁₃	1	2	yes	complemented
745	#448	C₂²×C₁₃	1	1	yes	characteristic
746	#448	C₂²×C₁₃	1	1	yes	characteristic
747	#448	C₂²×C₁₃	1	2	yes	complemented
748	#448	C₂²×C₁₃	1	2	yes	complemented
749	#447	C₂²×C₁₃	1	1	yes	characteristic
750	#441	C₂²×C₁₃	1	2	yes	complemented
751	#440	C₂²×C₁₃	1	2	yes	complemented
752	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
753	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
754	#436	C₂²×C₁₃	1	2	yes	complemented
755	#435	C₂²×C₁₃	1	2	yes	complemented
756	#435	C₂²×C₁₃	1	2	yes	complemented
757	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
758	#432	C₂²×C₁₃	1	1	yes	characteristic
759	#431	C₂²×C₁₃	1	1	yes	characteristic
760	#419	C₂²×C₁₃	1	2	yes	complemented
761	#417	C₂²×C₁₃	1	2	yes	complemented
762	#416	C₂²×C₁₃	1	2	yes	complemented
763	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
764	#407	C₂²×C₁₃	1	1	yes	characteristic
765	#407	C₂²×C₁₃	1	1	yes	characteristic
766	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
767	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
768	C₂²×C₁₃	—	2	1	no	—
769	C₂²×C₁₃	—	2	1	no	—
770	C₂²×C₁₃	—	2	1	no	—
771	C₂²×C₁₃	—	2	1	no	—
772	C₂²×C₁₃	—	2	1	no	—
773	C₂²×C₁₃	—	2	1	no	—
774	C₂²×C₁₃	—	2	1	no	—
775	C₂²×C₁₃	—	2	1	no	—
776	C₂²×C₁₃	—	2	1	no	—
777	C₂²×C₁₃	—	2	1	no	—
778	C₂²×C₁₃	—	2	1	no	—
779	C₂²×C₁₃	—	2	1	no	—
780	C₂²×C₁₃	—	2	1	no	—
781	C₂²×C₁₃	—	4	4	no	—
782	C₂²×C₁₃	—	4	2	no	—
783	C₂²×C₁₃	—	4	1	no	—
784	C₂²×C₁₃	—	4	1	no	—
785	C₂²×C₁₃	—	4	2	no	—
786	C₂²×C₁₃	—	4	1	no	—
787	C₂²×C₁₃	—	4	2	no	—
788	C₂²×C₁₃	—	8	2	no	—
789	C₂²×C₁₃	—	8	4	no	—
790	C₂²×C₁₃	#575	1	2	yes	—
791	C₂²×C₁₃	#578	1	2	yes	—
792	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
793	C₄×C₁₃	—	2	4	no	—
794	C₄×C₁₃	—	2	1	no	—
795	C₄×C₁₃	—	2	1	no	—
796	C₄×C₁₃	—	2	1	no	—
797	C₄×C₁₃	—	2	1	no	—
798	C₄×C₁₃	—	2	1	no	—
799	C₄×C₁₃	—	2	1	no	—
800	C₄×C₁₃	—	2	1	no	—
801	C₄×C₁₃	—	2	1	no	—
802	C₄×C₁₃	—	2	1	no	—
803	C₄×C₁₃	—	4	2	no	—
804	C₄×C₁₃	—	4	1	no	—
805	C₄×C₁₃	—	4	1	no	—
806	C₄×C₁₃	—	4	1	no	—
807	C₄×C₁₃	—	4	1	no	—
808	C₄×C₁₃	—	4	2	no	—
809	C₄×C₁₃	—	4	1	no	—
810	C₄×C₁₃	—	4	1	no	—
811	C₄×C₁₃	—	4	1	no	—
812	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
813	C₂×#41	—	2	1	no	—
814	C₂×#41	—	2	1	no	—
815	C₂×#41	—	2	1	no	—
816	C₂×#41	—	4	4	no	—
817	C₂×#41	C₂³×C₁₃	1	2	yes	—
818	C₂×#41	C₂³×C₁₃	1	2	yes	—
819	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
820	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
821	C₂²×Q₈	—	2	1	no	—
822	C₂²×Q₈	—	2	1	no	—
823	C₂²×Q₈	—	2	1	no	—
824	C₂²×Q₈	—	4	4	no	—
825	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
826	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
827	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
828	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
829	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
830	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
831	C₂²×D₄	—	2	1	no	—
832	C₂²×D₄	—	2	1	no	—
833	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
834	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
835	C₂³×C₄	—	2	1	no	—
836	C₂³×C₄	—	2	1	no	—
837	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
838	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
839	#137	—	4	4	no	—
840	#137	—	4	4	no	—
841	#135	—	4	4	no	—
842	C₂×Q₁₆	—	4	4	no	—
843	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
844	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
845	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
846	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
847	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
848	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
849	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
850	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
851	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
852	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
853	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
854	C₂×D₈	C₂³×C₁₃	1	2	yes	—
855	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
856	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
857	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
858	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
859	C₄⋊Q₈	—	2	1	no	—
860	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
861	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
862	#126	—	2	1	no	—
863	#126	—	2	1	no	—
864	#126	—	2	1	no	—
865	#126	—	2	1	no	—
866	#126	—	2	1	no	—
867	#125	—	2	1	no	—
868	#125	—	2	1	no	—
869	#125	—	2	1	no	—
870	#125	C₂³×C₁₃	1	1	yes	characteristic
871	#124	—	2	1	no	—
872	#124	—	2	2	no	—
873	#124	—	2	2	no	—
874	#124	—	2	2	no	—
875	#124	—	2	2	no	—
876	#124	—	2	1	no	—
877	#124	—	2	1	no	—
878	#124	—	2	1	no	—
879	#124	—	2	1	no	—
880	#124	C₂³×C₁₃	1	2	yes	—
881	#124	C₂³×C₁₃	1	2	yes	—
882	#124	C₂³×C₁₃	1	1	yes	characteristic
883	#123	—	2	1	no	—
884	#123	—	2	1	no	—
885	#123	—	2	1	no	—
886	#123	—	2	1	no	—
887	#123	—	2	1	no	—
888	#123	—	2	1	no	—
889	#123	—	2	1	no	—
890	#123	—	2	1	no	—
891	#123	—	2	1	no	—
892	C₂²⋊Q₈	—	2	1	no	—
893	C₂²⋊Q₈	—	2	1	no	—
894	C₂²⋊Q₈	—	2	1	no	—
895	C₂²⋊Q₈	—	2	1	no	—
896	C₂²⋊Q₈	—	2	1	no	—
897	C₂²⋊Q₈	—	2	1	no	—
898	C₂²⋊Q₈	—	2	1	no	—
899	C₂²⋊Q₈	—	2	2	no	—
900	C₂²⋊Q₈	—	2	2	no	—
901	C₂²⋊Q₈	—	2	2	no	—
902	C₂²⋊Q₈	—	2	2	no	—
903	C₂²⋊Q₈	—	2	1	no	—
904	C₂²⋊Q₈	—	2	1	no	—
905	C₂²⋊Q₈	—	2	1	no	—
906	C₂²⋊Q₈	—	2	1	no	—
907	C₂²⋊Q₈	—	2	1	no	—
908	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
909	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
910	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
911	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
912	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
913	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
914	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
915	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
916	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
917	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
918	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
919	#121	—	2	2	no	—
920	#121	—	2	2	no	—
921	#121	—	2	2	no	—
922	#121	—	2	2	no	—
923	#121	—	2	1	no	—
924	#121	—	2	1	no	—
925	#121	—	2	1	no	—
926	#121	—	2	1	no	—
927	#121	—	2	1	no	—
928	#121	C₂³×C₁₃	1	2	yes	—
929	#121	C₂³×C₁₃	1	2	yes	—
930	#121	C₂³×C₁₃	1	1	yes	characteristic
931	#121	C₂³×C₁₃	1	1	yes	characteristic
932	#121	C₂³×C₁₃	1	1	yes	characteristic
933	#120	—	2	1	no	—
934	#120	—	2	1	no	—
935	C₄×Q₈	—	2	1	no	—
936	C₄×Q₈	—	2	1	no	—
937	C₄×Q₈	—	2	1	no	—
938	C₄×Q₈	—	2	1	no	—
939	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
940	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
941	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
942	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
943	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
944	C₄×D₄	—	2	1	no	—
945	C₄×D₄	—	2	1	no	—
946	C₄×D₄	—	2	1	no	—
947	C₄×D₄	—	2	1	no	—
948	C₄×D₄	—	2	1	no	—
949	C₄×D₄	—	2	1	no	—
950	C₄×D₄	—	2	2	no	—
951	C₄×D₄	—	2	2	no	—
952	C₄×D₄	—	2	2	no	—
953	C₄×D₄	—	2	2	no	—
954	C₄×D₄	—	2	1	no	—
955	C₄×D₄	—	2	1	no	—
956	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
957	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
958	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
959	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
960	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
961	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
962	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
963	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
964	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
965	#117	—	2	1	no	—
966	#117	—	2	1	no	—
967	#117	—	2	1	no	—
968	#117	—	2	1	no	—
969	#117	C₂³×C₁₃	1	1	yes	characteristic
970	#117	C₂³×C₁₃	1	1	yes	characteristic
971	C₂×C₄⋊C₄	—	2	1	no	—
972	C₂×C₄⋊C₄	—	2	1	no	—
973	C₂×C₄⋊C₄	—	2	1	no	—
974	C₂×C₄⋊C₄	—	2	1	no	—
975	C₂×C₄⋊C₄	—	2	1	no	—
976	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
977	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
978	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
979	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
980	C₂×C₂²⋊C₄	—	2	1	no	—
981	C₂×C₂²⋊C₄	—	2	1	no	—
982	C₂×C₂²⋊C₄	—	2	1	no	—
983	C₂×C₂²⋊C₄	—	2	1	no	—
984	C₂×C₂²⋊C₄	—	2	1	no	—
985	C₂×C₂²⋊C₄	—	2	1	no	—
986	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
987	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
988	C₂×C₄²	—	2	1	no	—
989	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
990	#107	C₂³×C₁₃	1	2	yes	—
991	#107	C₂³×C₁₃	1	2	yes	—
992	#107	C₂³×C₁₃	1	2	yes	—
993	#106	C₂³×C₁₃	1	2	yes	—
994	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
995	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
996	#103	C₂³×C₁₃	1	2	yes	—
997	#103	C₂³×C₁₃	1	2	yes	—
998	#103	C₂³×C₁₃	1	2	yes	—
999	#103	C₂³×C₁₃	1	2	yes	—
1000	#103	C₂³×C₁₃	1	2	yes	—
1001	#103	C₂³×C₁₃	1	2	yes	—
1002	#103	C₂³×C₁₃	1	2	yes	—
1003	#103	C₂³×C₁₃	1	2	yes	—
1004	#103	C₂³×C₁₃	1	2	yes	—
1005	#103	C₂³×C₁₃	1	2	yes	—
1006	#103	C₂³×C₁₃	1	2	yes	—
1007	#102	C₂³×C₁₃	1	2	yes	—
1008	#102	C₂³×C₁₃	1	2	yes	—
1009	#102	C₂³×C₁₃	1	2	yes	—
1010	#102	C₂³×C₁₃	1	2	yes	—
1011	#102	C₂³×C₁₃	1	2	yes	—
1012	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1013	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1014	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1015	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1016	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1017	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1018	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1019	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1020	#97	C₂³×C₁₃	1	2	yes	—
1021	C₄×C₈	C₂³×C₁₃	1	2	yes	—
1022	C₂×C₁₃	—	2	2	no	—
1023	C₂×C₁₃	—	2	2	no	—
1024	C₂×C₁₃	—	4	1	no	—
1025	C₂×C₁₃	—	4	1	no	—
1026	C₂×C₁₃	—	4	1	no	—
1027	C₂×C₁₃	—	8	1	no	—
1028	C₂×C₁₃	—	8	2	no	—
1029	C₂×C₁₃	#3484	1	1	yes	characteristic
1030	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1031	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
1032	C₂⁴	—	2	1	no	—
1033	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1034	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1035	#41	—	2	4	no	—
1036	#41	—	2	4	no	—
1037	#41	—	4	2	no	—
1038	#41	—	4	2	no	—
1039	#41	—	4	2	no	—
1040	#41	—	4	2	no	—
1041	#41	—	4	4	no	—
1042	#41	—	4	4	no	—
1043	#41	—	4	4	no	—
1044	C₂×Q₈	—	2	4	no	—
1045	C₂×Q₈	—	2	1	no	—
1046	C₂×Q₈	—	2	1	no	—
1047	C₂×Q₈	—	2	2	no	—
1048	C₂×Q₈	—	2	2	no	—
1049	C₂×Q₈	—	2	1	no	—
1050	C₂×Q₈	—	2	1	no	—
1051	C₂×Q₈	—	2	1	no	—
1052	C₂×Q₈	—	2	4	no	—
1053	C₂×Q₈	—	2	4	no	—
1054	C₂×Q₈	—	4	2	no	—
1055	C₂×Q₈	—	4	2	no	—
1056	C₂×Q₈	—	4	2	no	—
1057	C₂×Q₈	—	4	4	no	—
1058	C₂×Q₈	—	4	2	no	—
1059	C₂×Q₈	—	4	2	no	—
1060	C₂×Q₈	—	4	4	no	—
1061	C₂×Q₈	—	4	4	no	—
1062	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1063	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1064	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1065	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1066	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1067	C₂×D₄	—	2	1	no	—
1068	C₂×D₄	—	2	1	no	—
1069	C₂×D₄	—	2	1	no	—
1070	C₂×D₄	—	2	2	no	—
1071	C₂×D₄	—	2	2	no	—
1072	C₂×D₄	—	2	2	no	—
1073	C₂×D₄	—	2	2	no	—
1074	C₂×D₄	—	2	1	no	—
1075	C₂×D₄	—	2	1	no	—
1076	C₂×D₄	—	2	1	no	—
1077	C₂×D₄	—	4	2	no	—
1078	C₂×D₄	—	4	4	no	—
1079	C₂×D₄	—	4	2	no	—
1080	C₂×D₄	—	4	4	no	—
1081	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1082	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1083	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1084	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1085	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1086	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1087	C₂²×C₄	—	2	1	no	—
1088	C₂²×C₄	—	2	1	no	—
1089	C₂²×C₄	—	2	1	no	—
1090	C₂²×C₄	—	2	1	no	—
1091	C₂²×C₄	—	2	1	no	—
1092	C₂²×C₄	—	2	2	no	—
1093	C₂²×C₄	—	2	2	no	—
1094	C₂²×C₄	—	2	1	no	—
1095	C₂²×C₄	—	2	1	no	—
1096	C₂²×C₄	—	2	1	no	—
1097	C₂²×C₄	—	2	2	no	—
1098	C₂²×C₄	—	2	2	no	—
1099	C₂²×C₄	—	2	1	no	—
1100	C₂²×C₄	—	2	1	no	—
1101	C₂²×C₄	—	4	2	no	—
1102	C₂²×C₄	—	4	2	no	—
1103	C₂²×C₄	—	4	4	no	—
1104	C₂²×C₄	—	4	4	no	—
1105	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1106	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1107	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1108	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1109	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1110	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1111	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1112	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1113	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1114	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1115	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1116	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1117	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1118	Q₁₆	—	2	4	no	—
1119	Q₁₆	—	2	4	no	—
1120	Q₁₆	—	2	4	no	—
1121	Q₁₆	—	4	2	no	—
1122	Q₁₆	—	4	2	no	—
1123	Q₁₆	—	4	2	no	—
1124	SD₁₆	—	2	4	no	—
1125	SD₁₆	—	4	2	no	—
1126	SD₁₆	—	4	2	no	—
1127	SD₁₆	—	4	2	no	—
1128	SD₁₆	—	4	2	no	—
1129	D₈	—	4	2	no	—
1130	M₁₆	—	4	2	no	—
1131	M₁₆	—	4	2	no	—
1132	C₂×C₈	—	4	2	no	—
1133	C₂×C₈	—	4	2	no	—
1134	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1135	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1136	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1137	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1138	C₄⋊C₄	—	2	1	no	—
1139	C₄⋊C₄	—	2	1	no	—
1140	C₄⋊C₄	—	2	1	no	—
1141	C₄⋊C₄	—	2	2	no	—
1142	C₄⋊C₄	—	2	2	no	—
1143	C₄⋊C₄	—	2	1	no	—
1144	C₄⋊C₄	—	2	1	no	—
1145	C₄⋊C₄	—	2	1	no	—
1146	C₄⋊C₄	—	2	1	no	—
1147	C₄⋊C₄	—	2	1	no	—
1148	C₄⋊C₄	—	2	2	no	—
1149	C₄⋊C₄	—	2	2	no	—
1150	C₄⋊C₄	—	2	1	no	—
1151	C₄⋊C₄	—	2	1	no	—
1152	C₄⋊C₄	—	2	1	no	—
1153	C₄⋊C₄	—	2	1	no	—
1154	C₄⋊C₄	—	2	1	no	—
1155	C₄⋊C₄	—	2	1	no	—
1156	C₄⋊C₄	—	2	1	no	—
1157	C₄⋊C₄	—	2	1	no	—
1158	C₄⋊C₄	—	2	1	no	—
1159	C₄⋊C₄	—	2	1	no	—
1160	C₄⋊C₄	—	2	1	no	—
1161	C₄⋊C₄	—	2	1	no	—
1162	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1163	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1164	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1165	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1166	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1167	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1168	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1169	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1170	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1171	C₂²⋊C₄	—	2	1	no	—
1172	C₂²⋊C₄	—	2	1	no	—
1173	C₂²⋊C₄	—	2	1	no	—
1174	C₂²⋊C₄	—	2	2	no	—
1175	C₂²⋊C₄	—	2	2	no	—
1176	C₂²⋊C₄	—	2	1	no	—
1177	C₂²⋊C₄	—	2	1	no	—
1178	C₂²⋊C₄	—	2	1	no	—
1179	C₂²⋊C₄	—	2	1	no	—
1180	C₂²⋊C₄	—	2	1	no	—
1181	C₂²⋊C₄	—	2	1	no	—
1182	C₂²⋊C₄	—	2	1	no	—
1183	C₂²⋊C₄	—	2	1	no	—
1184	C₂²⋊C₄	—	2	2	no	—
1185	C₂²⋊C₄	—	2	2	no	—
1186	C₂²⋊C₄	—	2	2	no	—
1187	C₂²⋊C₄	—	2	2	no	—
1188	C₂²⋊C₄	—	2	2	no	—
1189	C₂²⋊C₄	—	2	2	no	—
1190	C₂²⋊C₄	—	2	1	no	—
1191	C₂²⋊C₄	—	2	1	no	—
1192	C₂²⋊C₄	—	2	1	no	—
1193	C₂²⋊C₄	—	2	1	no	—
1194	C₂²⋊C₄	—	2	1	no	—
1195	C₂²⋊C₄	—	2	1	no	—
1196	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1197	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1198	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1199	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1200	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1201	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1202	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1203	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1204	C₄²	—	2	2	no	—
1205	C₄²	—	2	2	no	—
1206	C₄²	—	2	1	no	—
1207	C₄²	—	2	1	no	—
1208	C₄²	—	2	1	no	—
1209	C₄²	—	2	1	no	—
1210	C₄²	—	2	1	no	—
1211	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1212	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1213	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1214	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1215	C₁₃	#61603	1	1	yes	characteristic, direct product factor, Sylow
1216	C₂³	—	2	2	no	—
1217	C₂³	—	2	2	no	—
1218	C₂³	—	2	2	no	—
1219	C₂³	—	2	1	no	—
1220	C₂³	—	2	2	no	—
1221	C₂³	—	4	1	no	—
1222	C₂³	—	4	1	no	—
1223	C₂³	—	4	1	no	—
1224	C₂³	—	4	2	no	—
1225	C₂³	—	4	2	no	—
1226	C₂³	—	4	2	no	—
1227	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1228	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1229	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1230	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1231	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1232	Q₈	—	2	4	no	—
1233	Q₈	—	2	2	no	—
1234	Q₈	—	2	2	no	—
1235	Q₈	—	2	2	no	—
1236	Q₈	—	2	2	no	—
1237	Q₈	—	2	2	no	—
1238	Q₈	—	2	2	no	—
1239	Q₈	—	4	4	no	—
1240	Q₈	—	4	4	no	—
1241	Q₈	—	4	2	no	—
1242	Q₈	—	4	2	no	—
1243	Q₈	—	8	1	no	—
1244	Q₈	—	8	1	no	—
1245	Q₈	C₁₃×H(5,𝔽₂)	1	4	yes	—
1246	D₄	—	2	2	no	—
1247	D₄	—	2	2	no	—
1248	D₄	—	2	2	no	—
1249	D₄	—	2	2	no	—
1250	D₄	—	2	2	no	—
1251	D₄	—	4	1	no	—
1252	D₄	—	4	1	no	—
1253	D₄	—	4	4	no	—
1254	D₄	—	4	4	no	—
1255	D₄	—	4	2	no	—
1256	D₄	—	4	4	no	—
1257	D₄	—	4	2	no	—
1258	D₄	—	4	4	no	—
1259	D₄	—	4	2	no	—
1260	D₄	—	4	2	no	—
1261	D₄	—	8	1	no	—
1262	D₄	—	8	1	no	—
1263	C₂×C₄	—	2	4	no	—
1264	C₂×C₄	—	2	2	no	—
1265	C₂×C₄	—	2	2	no	—
1266	C₂×C₄	—	2	2	no	—
1267	C₂×C₄	—	2	2	no	—
1268	C₂×C₄	—	2	2	no	—
1269	C₂×C₄	—	2	2	no	—
1270	C₂×C₄	—	2	2	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	2	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	2	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	4	1	no	—
1281	C₂×C₄	—	4	1	no	—
1282	C₂×C₄	—	4	1	no	—
1283	C₂×C₄	—	4	1	no	—
1284	C₂×C₄	—	4	1	no	—
1285	C₂×C₄	—	4	1	no	—
1286	C₂×C₄	—	4	1	no	—
1287	C₂×C₄	—	4	4	no	—
1288	C₂×C₄	—	4	4	no	—
1289	C₂×C₄	—	4	4	no	—
1290	C₂×C₄	—	4	4	no	—
1291	C₂×C₄	—	4	2	no	—
1292	C₂×C₄	—	4	2	no	—
1293	C₂×C₄	—	4	2	no	—
1294	C₂×C₄	—	4	2	no	—
1295	C₂×C₄	—	4	2	no	—
1296	C₂×C₄	—	8	1	no	—
1297	C₂×C₄	—	8	1	no	—
1298	C₂×C₄	—	8	1	no	—
1299	C₂×C₄	—	8	1	no	—
1300	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1301	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1302	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1303	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1304	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1305	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1306	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1307	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1308	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1309	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1310	C₈	—	2	2	no	—
1311	C₈	—	2	2	no	—
1312	C₈	—	2	2	no	—
1313	C₈	—	2	2	no	—
1314	C₂²	—	2	1	no	—
1315	C₂²	—	2	1	no	—
1316	C₂²	—	2	1	no	—
1317	C₂²	—	2	1	no	—
1318	C₂²	—	2	1	no	—
1319	C₂²	—	2	1	no	—
1320	C₂²	—	2	1	no	—
1321	C₂²	—	2	1	no	—
1322	C₂²	—	2	1	no	—
1323	C₂²	—	2	1	no	—
1324	C₂²	—	2	1	no	—
1325	C₂²	—	2	1	no	—
1326	C₂²	—	2	1	no	—
1327	C₂²	—	4	4	no	—
1328	C₂²	—	4	1	no	—
1329	C₂²	—	4	2	no	—
1330	C₂²	—	4	1	no	—
1331	C₂²	—	4	2	no	—
1332	C₂²	—	4	2	no	—
1333	C₂²	—	4	1	no	—
1334	C₂²	—	8	2	no	—
1335	C₂²	—	8	4	no	—
1336	C₂²	C₁₃×#575	1	2	yes	—
1337	C₂²	C₁₃×#578	1	2	yes	—
1338	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1339	C₄	—	2	1	no	—
1340	C₄	—	2	1	no	—
1341	C₄	—	2	1	no	—
1342	C₄	—	2	1	no	—
1343	C₄	—	2	4	no	—
1344	C₄	—	2	1	no	—
1345	C₄	—	2	1	no	—
1346	C₄	—	2	1	no	—
1347	C₄	—	2	1	no	—
1348	C₄	—	2	1	no	—
1349	C₄	—	4	1	no	—
1350	C₄	—	4	2	no	—
1351	C₄	—	4	1	no	—
1352	C₄	—	4	1	no	—
1353	C₄	—	4	1	no	—
1354	C₄	—	4	2	no	—
1355	C₄	—	4	1	no	—
1356	C₄	—	4	1	no	—
1357	C₄	—	4	1	no	—
1358	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1359	C₂	—	2	2	no	—
1360	C₂	—	2	2	no	—
1361	C₂	—	4	1	no	—
1362	C₂	—	4	1	no	—
1363	C₂	—	4	1	no	—
1364	C₂	—	8	2	no	—
1365	C₂	—	8	1	no	—
1366	C₂	C₁₃×#3484	1	1	yes	characteristic
1367	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1368	C₂	C₂×C₁₃×#578	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3520	C₂	semidirect
2. C₂×C₁₃×#548	C₂	semidirect
3. C₁₃×#3327	C₂	semidirect
4. C₁₃×#3313	C₂	semidirect
5. C₁₃×#3308	C₂	semidirect
6. C₁₃×#3300	C₂	semidirect
7. C₁₃×#3285	C₂	semidirect
8. C₁₃×#3277	C₂	semidirect
9. C₁₃×#3270	C₂	semidirect
10. C₁₃×#3269	C₂	semidirect
11. C₁₃×#3215	C₂	semidirect
12. C₁₃×#3211	C₂	semidirect
13. C₁₃×#3196	C₂	semidirect
14. C₁₃×#3193	C₂	semidirect
15. C₁₃×#3189	C₂	semidirect
16. C₁₃×#3188	C₂	semidirect
17. C₁₃×#3117	C₂	semidirect
18. C₁₃×#3104	C₂	semidirect
19. C₁₃×#3007	C₂	semidirect
20. C₁₃×#3004	C₂	semidirect
21. C₁₃×#3002	C₂	semidirect
22. C₂×C₁₃×#451	C₂	semidirect
23. C₁₃×#2974	C₂	semidirect
26. C₂×C₁₃×#137	C₂²	semidirect
27. C₂×C₁₃×#137	C₂²	semidirect
28. C₂×C₁₃×#135	C₂²	semidirect
29. C₂²×C₁₃×Q₁₆	C₂²	semidirect
30. C₁₃×#556	C₂²	semidirect
32. C₁₃×#552	C₂²	semidirect
33. C₁₃×#552	C₂²	semidirect
36. D₄×Q₈×C₁₃	C₂²	semidirect
45. C₁₃×#548	C₂²	semidirect
46. C₁₃×#548	C₂²	semidirect
47. C₁₃×#547	C₂²	semidirect
48. C₁₃×#547	C₂²	semidirect
69. C₁₃×#497	C₂²	semidirect
70. C₁₃×#495	C₂²	semidirect
71. C₁₃×#489	C₂²	semidirect
72. C₁₃×#488	C₂²	semidirect
73. C₁₃×#485	C₂²	semidirect
77. C₁₃×#484	C₂²	semidirect
78. C₁₃×#482	C₂²	semidirect
80. C₁₃×#480	C₂²	semidirect
81. C₁₃×#479	C₂²	semidirect
82. C₁₃×#477	C₂²	semidirect
83. C₁₃×#470	C₂²	semidirect
84. C₁₃×#468	C₂²	semidirect
85. C₁₃×#468	C₂²	semidirect
86. C₁₃×#468	C₂²	semidirect
87. C₁₃×#467	C₂²	semidirect
88. C₁₃×#467	C₂²	semidirect
89. C₁₃×#466	C₂²	semidirect
90. C₁₃×#465	C₂²	semidirect
91. C₁₃×#464	C₂²	semidirect
92. C₁₃×#464	C₂²	semidirect
93. C₁₃×#464	C₂²	semidirect
94. C₁₃×#464	C₂²	semidirect
95. C₁₃×#463	C₂²	semidirect
96. C₁₃×#462	C₂²	semidirect
97. C₁₃×#452	C₂²	semidirect
98. C₁₃×#452	C₂²	semidirect
99. C₁₃×#452	C₂²	semidirect
100. C₁₃×#452	C₂²	semidirect
107. C₁₃×#451	C₂²	semidirect
108. C₁₃×#451	C₂²	semidirect
109. C₁₃×#451	C₂²	semidirect
110. C₁₃×#451	C₂²	semidirect
114. C₁₃×#449	C₂²	semidirect
115. C₁₃×#449	C₂²	semidirect
118. C₁₃×#448	C₂²	semidirect
119. C₁₃×#448	C₂²	semidirect
121. C₁₃×#441	C₂²	semidirect
122. C₁₃×#440	C₂²	semidirect
123. C₄×C₁₃×Q₁₆	C₂²	semidirect
124. C₄×C₁₃×Q₁₆	C₂²	semidirect
125. C₁₃×#436	C₂²	semidirect
126. C₁₃×#435	C₂²	semidirect
127. C₁₃×#435	C₂²	semidirect
128. C₈×D₄×C₁₃	C₂²	semidirect
131. C₁₃×#419	C₂²	semidirect
132. C₁₃×#417	C₂²	semidirect
133. C₁₃×#416	C₂²	semidirect
134. C₂×C₁₃×#103	C₂²	semidirect
348. #61603	C₁₃	direct (N × H)
532. #3520	C₂×C₁₃	semidirect
533. C₂×#548	C₂×C₁₃	semidirect
534. #3327	C₂×C₁₃	semidirect
535. #3313	C₂×C₁₃	semidirect
536. #3308	C₂×C₁₃	semidirect
537. #3300	C₂×C₁₃	semidirect
538. #3285	C₂×C₁₃	semidirect
539. #3277	C₂×C₁₃	semidirect
540. #3270	C₂×C₁₃	semidirect
541. #3269	C₂×C₁₃	semidirect
542. #3215	C₂×C₁₃	semidirect
543. #3211	C₂×C₁₃	semidirect
544. #3196	C₂×C₁₃	semidirect
545. #3193	C₂×C₁₃	semidirect
546. #3189	C₂×C₁₃	semidirect
547. #3188	C₂×C₁₃	semidirect
548. #3117	C₂×C₁₃	semidirect
549. #3104	C₂×C₁₃	semidirect
550. #3007	C₂×C₁₃	semidirect
551. #3004	C₂×C₁₃	semidirect
552. #3002	C₂×C₁₃	semidirect
553. C₂×#451	C₂×C₁₃	semidirect
554. #2974	C₂×C₁₃	semidirect
655. C₂×#137	C₂²×C₁₃	semidirect
656. C₂×#137	C₂²×C₁₃	semidirect
657. C₂×#135	C₂²×C₁₃	semidirect
658. C₂²×Q₁₆	C₂²×C₁₃	semidirect
659. #556	C₂²×C₁₃	semidirect
661. #552	C₂²×C₁₃	semidirect
662. #552	C₂²×C₁₃	semidirect
665. D₄×Q₈	C₂²×C₁₃	semidirect
674. #548	C₂²×C₁₃	semidirect
675. #548	C₂²×C₁₃	semidirect
676. #547	C₂²×C₁₃	semidirect
677. #547	C₂²×C₁₃	semidirect
698. #497	C₂²×C₁₃	semidirect
699. #495	C₂²×C₁₃	semidirect
700. #489	C₂²×C₁₃	semidirect
701. #488	C₂²×C₁₃	semidirect
702. #485	C₂²×C₁₃	semidirect
706. #484	C₂²×C₁₃	semidirect
707. #482	C₂²×C₁₃	semidirect
709. #480	C₂²×C₁₃	semidirect
710. #479	C₂²×C₁₃	semidirect
711. #477	C₂²×C₁₃	semidirect
712. #470	C₂²×C₁₃	semidirect
713. #468	C₂²×C₁₃	semidirect
714. #468	C₂²×C₁₃	semidirect
715. #468	C₂²×C₁₃	semidirect
716. #467	C₂²×C₁₃	semidirect
717. #467	C₂²×C₁₃	semidirect
718. #466	C₂²×C₁₃	semidirect
719. #465	C₂²×C₁₃	semidirect
720. #464	C₂²×C₁₃	semidirect
721. #464	C₂²×C₁₃	semidirect
722. #464	C₂²×C₁₃	semidirect
723. #464	C₂²×C₁₃	semidirect
724. #463	C₂²×C₁₃	semidirect
725. #462	C₂²×C₁₃	semidirect
726. #452	C₂²×C₁₃	semidirect
727. #452	C₂²×C₁₃	semidirect
728. #452	C₂²×C₁₃	semidirect
729. #452	C₂²×C₁₃	semidirect
736. #451	C₂²×C₁₃	semidirect
737. #451	C₂²×C₁₃	semidirect
738. #451	C₂²×C₁₃	semidirect
739. #451	C₂²×C₁₃	semidirect
743. #449	C₂²×C₁₃	semidirect
744. #449	C₂²×C₁₃	semidirect
747. #448	C₂²×C₁₃	semidirect
748. #448	C₂²×C₁₃	semidirect
750. #441	C₂²×C₁₃	semidirect
751. #440	C₂²×C₁₃	semidirect
752. C₄×Q₁₆	C₂²×C₁₃	semidirect
753. C₄×Q₁₆	C₂²×C₁₃	semidirect
754. #436	C₂²×C₁₃	semidirect
755. #435	C₂²×C₁₃	semidirect
756. #435	C₂²×C₁₃	semidirect
757. C₈×D₄	C₂²×C₁₃	semidirect
760. #419	C₂²×C₁₃	semidirect
761. #417	C₂²×C₁₃	semidirect
762. #416	C₂²×C₁₃	semidirect
763. C₂×#103	C₂²×C₁₃	semidirect
1215. C₁₃	#61603	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×#3520	2
C₂×C₁₃×#548	2
C₁₃×#3327	2
C₁₃×#3313	2
C₁₃×#3308	2
C₁₃×#3300	2
C₁₃×#3285	2
C₁₃×#3277	2
C₁₃×#3270	2
C₁₃×#3269	2
C₁₃×#3215	2
C₁₃×#3211	2
C₁₃×#3196	2
C₁₃×#3193	2
C₁₃×#3189	2
C₁₃×#3188	2
C₁₃×#3117	2
C₁₃×#3104	2
C₁₃×#3007	2
C₁₃×#3004	2
C₁₃×#3002	2
C₂×C₁₃×#451	2
C₁₃×#2974	2
#61603	13

Subgroups — C13×#61603 #15747942

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61603 #15747942