Subgroups — C₂×#13129108 #16770217

Order 3328.

7418 conjugacy classes of subgroups.

The subgroup lattice has 1380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129108	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719388	C₂	1	2	yes	maximal, complemented
3	C₂×#11719371	C₂	1	2	yes	maximal, complemented
4	C₂×#11719386	C₂	1	2	yes	maximal, complemented
5	C₂×#11719437	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11719289	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719439	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#11719268	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#11719363	C₂	1	2	yes	maximal, complemented
10	C₂×#11719281	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719382	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719259	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719381	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719348	C₂	1	2	yes	maximal, complemented
15	C₂×#11719239	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11719415	C₂	1	2	yes	maximal, complemented
17	C₂×#11719349	C₂	1	2	yes	maximal, complemented
18	C₂×#11719409	C₂	1	2	yes	maximal, complemented
19	C₂×#11719333	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#11719312	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#11719332	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11719229	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#11719311	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#542	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#6131	C₂²	1	1	yes	characteristic
26	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
27	C₂²×#6129	C₂²	1	1	yes	characteristic
28	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
29	C₂²×#6127	C₂²	1	1	yes	characteristic
30	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#542	C₂²	1	16	yes	complemented
32	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
34	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
36	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
37	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
38	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
40	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88201	C₂²	1	2	yes	—
44	C₂×#88201	C₂²	1	2	yes	complemented
45	C₂×#88201	C₂²	1	2	yes	complemented
46	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
48	C₂×Q₈×Dic₁₃	C₂²	1	2	yes	complemented
49	C₂×#88194	C₂²	1	2	yes	—
50	C₂×#88192	C₂²	1	1	yes	characteristic
51	C₂×#88192	C₂²	1	1	yes	characteristic, complemented
52	C₂×#88191	C₂²	1	2	yes	—
53	C₂×#88191	C₂²	1	2	yes	complemented
54	C₂×D₄×Dic₁₃	C₂²	1	2	yes	complemented
55	C₂×#88184	C₂²	1	1	yes	characteristic
56	C₂×#88184	C₂²	1	2	yes	—
57	C₂×#88184	C₂²	1	2	yes	complemented
58	C₂²×#6103	C₂²	1	2	yes	complemented
59	C₂×#88180	C₂²	1	2	yes	complemented
60	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
61	#11719439	C₂²	1	16	yes	complemented
62	#11719437	C₂²	1	16	yes	complemented
63	#11719415	C₂²	1	32	yes	complemented
64	#11719409	C₂²	1	32	yes	complemented
65	#11719388	C₂²	1	32	yes	complemented
66	#11719386	C₂²	1	32	yes	complemented
67	#11719382	C₂²	1	16	yes	complemented
68	#11719381	C₂²	1	16	yes	complemented
69	#11719371	C₂²	1	32	yes	complemented
70	#11719363	C₂²	1	32	yes	complemented
71	#11719349	C₂²	1	32	yes	complemented
72	#11719348	C₂²	1	32	yes	complemented
73	#11719333	C₂²	1	16	yes	complemented
74	#11719332	C₂²	1	16	yes	complemented
75	#11719312	C₂²	1	16	yes	complemented
76	#11719311	C₂²	1	16	yes	complemented
77	#11719289	C₂²	1	16	yes	complemented
78	#11719281	C₂²	1	16	yes	complemented
79	#11719268	C₂²	1	16	yes	complemented
80	#11719259	C₂²	1	16	yes	complemented
81	#11719239	C₂²	1	16	yes	complemented
82	#11719229	C₂²	1	16	yes	complemented
83	C₂×#88152	C₂²	1	2	yes	complemented
84	C₂×#88152	C₂²	1	2	yes	complemented
85	C₂×#88152	C₂²	1	2	yes	complemented
86	C₂×#88152	C₂²	1	2	yes	complemented
87	C₂×#88152	C₂²	1	2	yes	complemented
88	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
89	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
90	C₂×#88151	C₂²	1	2	yes	complemented
91	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
92	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
93	C₂×#88150	C₂²	1	2	yes	complemented
94	C₂×#88149	C₂²	1	1	yes	characteristic
95	C₂×#88149	C₂²	1	1	yes	characteristic
96	C₂×#88149	C₂²	1	1	yes	characteristic
97	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
98	C₂×#88149	C₂²	1	2	yes	complemented
99	C₂×#88149	C₂²	1	2	yes	complemented
100	C₂×#88148	C₂²	1	2	yes	complemented
101	C₂×#88148	C₂²	1	2	yes	complemented
102	C₂×#88147	C₂²	1	2	yes	complemented
103	C₂×#88146	C₂²	1	2	yes	complemented
104	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
105	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
106	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
107	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
108	C₂×#88142	C₂²	1	2	yes	complemented
109	C₂×#88140	C₂²	1	1	yes	characteristic
110	C₂×#88140	C₂²	1	2	yes	complemented
111	C₂×#88140	C₂²	1	1	yes	characteristic, complemented
112	C₂×#88139	C₂²	1	2	yes	—
113	C₂×#88139	C₂²	1	2	yes	complemented
114	C₂×#88139	C₂²	1	2	yes	complemented
115	C₂×#88139	C₂²	1	2	yes	complemented
116	C₂×#88139	C₂²	1	2	yes	complemented
117	C₂×#88139	C₂²	1	2	yes	complemented
118	C₂×#88138	C₂²	1	2	yes	—
119	C₂×#88138	C₂²	1	2	yes	complemented
120	C₂×#88137	C₂²	1	2	yes	complemented
121	C₂×#88137	C₂²	1	2	yes	complemented
122	C₂×#88137	C₂²	1	2	yes	complemented
123	C₂×#88137	C₂²	1	2	yes	complemented
124	C₂×#88136	C₂²	1	2	yes	—
125	C₂×#88136	C₂²	1	2	yes	—
126	C₂×#88136	C₂²	1	1	yes	characteristic
127	C₂×#88136	C₂²	1	1	yes	characteristic, complemented
128	C₂×#88136	C₂²	1	2	yes	complemented
129	C₂×#88136	C₂²	1	2	yes	complemented
130	C₂×#88135	C₂²	1	2	yes	complemented
131	C₂×#88135	C₂²	1	2	yes	complemented
132	C₂×#88135	C₂²	1	2	yes	complemented
133	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
134	C₂×#88132	C₂²	1	2	yes	complemented
135	C₂×#88129	C₂²	1	2	yes	—
136	C₂×#88129	C₂²	1	2	yes	complemented
137	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
138	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
139	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
140	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
142	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
144	C₂×#88123	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×Dic₂₆	C₂²	1	2	yes	complemented
146	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₁₃	C₂³	1	2	yes	—
148	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
149	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
150	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
151	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
152	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
153	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
155	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
156	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
157	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
160	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
161	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
162	C₂³×Dic₁₃	C₂³	1	2	yes	—
163	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
164	C₂×#6131	—	4	4	no	—
165	C₂×#6131	C₂³	1	8	yes	—
166	C₂×Q₈×D₁₃	—	4	4	no	—
167	C₂×Q₈×D₁₃	C₂³	1	8	yes	complemented
168	C₂×#6129	—	4	4	no	—
169	C₂×#6129	C₂³	1	8	yes	—
170	C₂×D₄×D₁₃	—	4	4	no	—
171	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
172	C₂×#6127	—	4	4	no	—
173	C₂×#6127	C₂³	1	8	yes	—
174	C₂²×D₅₂	C₂³	1	1	yes	characteristic
175	C₂²×D₅₂	C₂³	1	1	yes	characteristic
176	C₂²×D₅₂	C₂³	1	1	yes	characteristic
177	C₂²×D₅₂	C₂³	1	1	yes	characteristic
178	C₂²×D₅₂	C₂³	1	1	yes	characteristic
179	C₂²×D₅₂	C₂³	1	2	yes	—
180	C₂²×D₅₂	C₂³	1	2	yes	—
181	C₂²×D₅₂	C₂³	1	2	yes	—
182	C₂²×D₅₂	C₂³	1	1	yes	characteristic
183	C₂²×C₄×D₁₃	—	4	4	no	—
184	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
185	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
186	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
187	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
188	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
189	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
190	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
191	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₁₃	C₂³	1	8	yes	complemented
194	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
195	C₂²×Dic₂₆	C₂³	1	2	yes	—
196	C₂²×Dic₂₆	C₂³	1	2	yes	—
197	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
198	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
199	C₁₃×#126	C₂³	1	16	yes	complemented
200	C₁₃×#124	C₂³	1	8	yes	complemented
201	C₁₃×#124	C₂³	1	16	yes	complemented
202	C₁₃×#123	C₂³	1	16	yes	complemented
203	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
204	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
205	C₁₃×#121	C₂³	1	8	yes	—
206	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
207	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
208	C₁₃×#117	C₂³	1	8	yes	complemented
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
210	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
213	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
216	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
217	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
218	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
225	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
227	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
228	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
229	#88201	C₂³	1	16	yes	—
230	#88201	C₂³	1	16	yes	complemented
231	#88201	C₂³	1	16	yes	complemented
232	#88200	C₂³	1	8	yes	complemented
233	#88200	C₂³	1	8	yes	complemented
234	Q₈×Dic₁₃	C₂³	1	16	yes	complemented
235	#88194	C₂³	1	16	yes	—
236	#88192	C₂³	1	8	yes	—
237	#88192	C₂³	1	8	yes	complemented
238	#88191	C₂³	1	16	yes	—
239	#88191	C₂³	1	16	yes	complemented
240	D₄×Dic₁₃	C₂³	1	16	yes	complemented
241	#88184	C₂³	1	8	yes	—
242	#88184	C₂³	1	16	yes	—
243	#88184	C₂³	1	16	yes	complemented
244	C₂×#6103	C₂³	1	1	yes	characteristic
245	C₂×#6103	C₂³	1	1	yes	characteristic
246	C₂×#6103	C₂³	1	1	yes	characteristic
247	C₂×#6103	C₂³	1	1	yes	characteristic
248	C₂×#6103	C₂³	1	1	yes	characteristic
249	C₂×#6103	C₂³	1	1	yes	characteristic
250	C₂×#6103	C₂³	1	2	yes	—
251	C₂×#6103	C₂³	1	1	yes	characteristic
252	C₂×#6103	C₂³	1	2	yes	—
253	C₂×#6103	C₂³	1	1	yes	characteristic
254	C₂×#6103	C₂³	1	2	yes	—
255	C₂×#6103	C₂³	1	2	yes	—
256	C₂×#6103	C₂³	1	2	yes	—
257	C₂×#6103	C₂³	1	2	yes	—
258	C₂×#6103	C₂³	1	2	yes	—
259	C₂×#6103	C₂³	1	2	yes	—
260	C₂×#6103	C₂³	1	2	yes	—
261	C₂×#6103	C₂³	1	2	yes	—
262	C₂×#6103	C₂³	1	2	yes	—
263	C₂×#6103	C₂³	1	2	yes	—
264	C₂×#6103	C₂³	1	2	yes	—
265	C₂×#6103	C₂³	1	2	yes	—
266	C₂×#6103	C₂³	1	16	yes	complemented
267	#88180	C₂³	1	16	yes	complemented
268	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
272	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
275	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
277	#88178	C₂³	1	8	yes	complemented
278	C₂×#6101	C₂³	1	2	yes	—
279	C₂×#6101	C₂³	1	2	yes	—
280	C₂×#6101	C₂³	1	2	yes	—
281	C₂×#6101	C₂³	1	2	yes	—
282	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
283	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
284	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
285	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
286	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
287	#88152	C₂³	1	16	yes	complemented
288	#88152	C₂³	1	16	yes	complemented
289	#88152	C₂³	1	16	yes	complemented
290	#88152	C₂³	1	16	yes	complemented
291	#88152	C₂³	1	16	yes	complemented
292	#88151	C₂³	1	8	yes	complemented
293	#88151	C₂³	1	8	yes	complemented
294	#88151	C₂³	1	8	yes	complemented
295	#88151	C₂³	1	8	yes	complemented
296	#88151	C₂³	1	16	yes	complemented
297	#88150	C₂³	1	16	yes	complemented
298	#88149	C₂³	1	8	yes	—
299	#88149	C₂³	1	8	yes	—
300	#88149	C₂³	1	8	yes	—
301	#88149	C₂³	1	8	yes	complemented
302	#88149	C₂³	1	16	yes	complemented
303	#88149	C₂³	1	16	yes	complemented
304	#88148	C₂³	1	16	yes	complemented
305	#88148	C₂³	1	16	yes	complemented
306	#88147	C₂³	1	16	yes	complemented
307	#88146	C₂³	1	8	yes	complemented
308	#88146	C₂³	1	8	yes	complemented
309	#88146	C₂³	1	8	yes	complemented
310	#88146	C₂³	1	8	yes	complemented
311	#88146	C₂³	1	16	yes	complemented
312	#88142	C₂³	1	16	yes	complemented
313	#88140	C₂³	1	8	yes	—
314	#88140	C₂³	1	8	yes	complemented
315	#88140	C₂³	1	16	yes	complemented
316	#88139	C₂³	1	16	yes	—
317	#88139	C₂³	1	16	yes	complemented
318	#88139	C₂³	1	16	yes	complemented
319	#88139	C₂³	1	16	yes	complemented
320	#88139	C₂³	1	16	yes	complemented
321	#88139	C₂³	1	16	yes	complemented
322	#88138	C₂³	1	16	yes	—
323	#88138	C₂³	1	16	yes	complemented
324	#88137	C₂³	1	16	yes	complemented
325	#88137	C₂³	1	16	yes	complemented
326	#88137	C₂³	1	16	yes	complemented
327	#88137	C₂³	1	16	yes	complemented
328	#88136	C₂³	1	8	yes	—
329	#88136	C₂³	1	16	yes	—
330	#88136	C₂³	1	16	yes	—
331	#88136	C₂³	1	8	yes	complemented
332	#88136	C₂³	1	16	yes	complemented
333	#88136	C₂³	1	16	yes	complemented
334	#88135	C₂³	1	16	yes	complemented
335	#88135	C₂³	1	16	yes	complemented
336	#88135	C₂³	1	16	yes	complemented
337	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
338	#88132	C₂³	1	16	yes	complemented
339	#88129	C₂³	1	16	yes	—
340	#88129	C₂³	1	8	yes	complemented
341	#88129	C₂³	1	16	yes	complemented
342	C₄×D₅₂	C₂³	1	8	yes	—
343	C₄×D₅₂	C₂³	1	8	yes	—
344	C₄×D₅₂	C₂³	1	8	yes	complemented
345	C₄×D₅₂	C₂³	1	8	yes	complemented
346	C₄×D₅₂	C₂³	1	8	yes	complemented
347	C₄×D₅₂	C₂³	1	16	yes	complemented
348	#88123	C₂³	1	8	yes	complemented
349	C₄×Dic₂₆	C₂³	1	8	yes	complemented
350	C₄×Dic₂₆	C₂³	1	16	yes	complemented
351	C₂×#3540	—	13	1	no	maximal, Sylow
352	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
354	C₂³×D₁₃	—	4	2	no	—
355	C₂³×D₁₃	—	4	2	no	—
356	C₂³×D₁₃	—	4	2	no	—
357	C₂³×D₁₃	—	4	4	no	—
358	C₂³×D₁₃	—	4	4	no	—
359	C₂³×D₁₃	—	4	4	no	—
360	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
361	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
362	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
363	C₂³×D₁₃	C₂⁴	1	2	yes	—
364	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
365	C₂³×D₁₃	C₂⁴	1	8	yes	—
366	C₂³×D₁₃	C₂⁴	1	4	yes	—
367	C₂×Q₈×C₁₃	—	2	4	no	—
368	C₂×Q₈×C₁₃	—	4	4	no	—
369	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
370	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
371	C₂×D₄×C₁₃	—	2	4	no	—
372	C₂×D₄×C₁₃	—	4	4	no	—
373	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
374	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
375	C₂²×C₄×C₁₃	—	2	4	no	—
376	C₂²×C₄×C₁₃	—	4	4	no	—
377	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
379	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
380	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
382	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
384	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
387	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂×C₂²⋊D₁₃	—	4	2	no	—
389	C₂×C₂²⋊D₁₃	—	4	2	no	—
390	C₂×C₂²⋊D₁₃	—	4	4	no	—
391	C₂×C₂²⋊D₁₃	—	4	4	no	—
392	C₂×C₂²⋊D₁₃	—	4	4	no	—
393	C₂×C₂²⋊D₁₃	—	4	4	no	—
394	C₂×C₂²⋊D₁₃	—	4	4	no	—
395	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
396	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
397	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
398	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
399	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
400	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
401	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
402	C₂²×Dic₁₃	—	4	2	no	—
403	C₂²×Dic₁₃	—	4	4	no	—
404	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
405	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
407	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
411	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
412	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
413	#6131	—	4	16	no	—
414	Q₈×D₁₃	—	4	16	no	—
415	#6129	—	4	16	no	—
416	D₄×D₁₃	—	4	16	no	—
417	#6127	—	4	16	no	—
418	C₂×D₅₂	—	2	4	no	—
419	C₂×D₅₂	—	4	2	no	—
420	C₂×D₅₂	—	4	2	no	—
421	C₂×D₅₂	—	4	2	no	—
422	C₂×D₅₂	—	4	4	no	—
423	C₂×D₅₂	—	4	4	no	—
424	C₂×D₅₂	—	4	2	no	—
425	C₂×D₅₂	—	4	2	no	—
426	C₂×D₅₂	—	4	4	no	—
427	C₂×D₅₂	C₂⁴	1	4	yes	—
428	C₂×D₅₂	C₂⁴	1	4	yes	—
429	C₂×D₅₂	C₂⁴	1	4	yes	—
430	C₂×D₅₂	C₂⁴	1	4	yes	—
431	C₂×D₅₂	C₂⁴	1	4	yes	—
432	C₂×D₅₂	C₂⁴	1	8	yes	—
433	C₂×D₅₂	C₂⁴	1	8	yes	—
434	C₂×D₅₂	C₂⁴	1	8	yes	—
435	C₂×D₅₂	C₂⁴	1	4	yes	—
436	C₂×C₄×D₁₃	—	2	4	no	—
437	C₂×C₄×D₁₃	—	2	4	no	—
438	C₂×C₄×D₁₃	—	2	4	no	—
439	C₂×C₄×D₁₃	—	2	4	no	—
440	C₂×C₄×D₁₃	—	4	16	no	—
441	C₂×C₄×D₁₃	—	4	2	no	—
442	C₂×C₄×D₁₃	—	4	2	no	—
443	C₂×C₄×D₁₃	—	4	4	no	—
444	C₂×C₄×D₁₃	—	4	4	no	—
445	C₂×C₄×D₁₃	—	4	4	no	—
446	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
447	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
448	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
449	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
450	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
451	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
452	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
453	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
454	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
455	C₂×Dic₂₆	—	2	4	no	—
456	C₂×Dic₂₆	—	4	4	no	—
457	C₂×Dic₂₆	—	4	2	no	—
458	C₂×Dic₂₆	—	4	4	no	—
459	C₂×Dic₂₆	C₂⁴	1	4	yes	—
460	C₂×Dic₂₆	C₂⁴	1	8	yes	—
461	C₂×Dic₂₆	C₂⁴	1	8	yes	—
462	C₂×Dic₂₆	C₂⁴	1	4	yes	—
463	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
464	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
465	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
466	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
467	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
468	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
469	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
470	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
471	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
472	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
473	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
474	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
475	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
476	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
477	C₄²×C₁₃	C₂⁴	1	4	yes	—
478	C₄²×C₁₃	C₂⁴	1	8	yes	—
479	C₄²×C₁₃	C₂⁴	1	4	yes	—
480	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
481	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
482	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
483	#6103	C₂⁴	1	4	yes	—
484	#6103	C₂⁴	1	4	yes	—
485	#6103	C₂⁴	1	4	yes	—
486	#6103	C₂⁴	1	4	yes	—
487	#6103	C₂⁴	1	4	yes	—
488	#6103	C₂⁴	1	4	yes	—
489	#6103	C₂⁴	1	8	yes	—
490	#6103	C₂⁴	1	4	yes	—
491	#6103	C₂⁴	1	8	yes	—
492	#6103	C₂⁴	1	4	yes	—
493	#6103	C₂⁴	1	8	yes	—
494	#6103	C₂⁴	1	8	yes	—
495	#6103	C₂⁴	1	8	yes	—
496	#6103	C₂⁴	1	8	yes	—
497	#6103	C₂⁴	1	8	yes	—
498	#6103	C₂⁴	1	8	yes	—
499	#6103	C₂⁴	1	8	yes	—
500	#6103	C₂⁴	1	8	yes	—
501	#6103	C₂⁴	1	8	yes	—
502	#6103	C₂⁴	1	8	yes	—
503	#6103	C₂⁴	1	8	yes	—
504	#6103	C₂⁴	1	8	yes	—
505	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
506	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
507	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
508	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
509	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
510	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
511	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
512	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
513	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
514	#6101	C₂⁴	1	8	yes	—
515	#6101	C₂⁴	1	8	yes	—
516	#6101	C₂⁴	1	8	yes	—
517	#6101	C₂⁴	1	8	yes	—
518	C₄×Dic₁₃	C₂⁴	1	8	yes	—
519	C₄×Dic₁₃	C₂⁴	1	8	yes	—
520	C₄×Dic₁₃	C₂⁴	1	8	yes	—
521	C₄×Dic₁₃	C₂⁴	1	8	yes	—
522	C₄×Dic₁₃	C₂⁴	1	8	yes	—
523	#3540	—	13	32	no	—
524	C₂×H(3,𝔽₄)	—	13	2	no	—
525	C₂×#560	—	13	2	no	—
526	C₂×#559	—	13	2	no	—
527	C₂×#556	—	13	1	no	—
528	C₂×#556	—	13	1	no	—
529	C₂×#555	—	13	1	no	—
530	C₂×#555	—	13	1	no	—
531	C₂×#551	—	13	2	no	—
532	C₂×#548	—	13	1	no	—
533	C₂×#548	—	13	1	no	—
534	C₂×#546	—	13	1	no	—
535	C₂×#546	—	13	1	no	—
536	C₂×#542	—	13	2	no	—
537	C₂×#542	—	13	2	no	—
538	C₂×#542	—	13	1	no	—
539	C₂×#542	D₁₃	1	1	yes	characteristic, complemented
540	C₂×#538	—	13	2	no	—
541	C₂×#538	—	13	2	no	—
542	C₂×#536	—	13	1	no	—
543	C₂×#535	—	13	1	no	—
544	C₂×#525	—	13	1	no	—
545	C₂×#525	—	13	1	no	—
546	C₂×#525	—	13	1	no	—
547	C₂³×C₁₃	—	2	2	no	—
548	C₂³×C₁₃	—	2	4	no	—
549	C₂³×C₁₃	—	2	2	no	—
550	C₂³×C₁₃	—	2	4	no	—
551	C₂³×C₁₃	—	2	4	no	—
552	C₂³×C₁₃	—	2	2	no	—
553	C₂³×C₁₃	C₂⁵	1	2	yes	—
554	C₂³×C₁₃	C₂⁵	1	4	yes	—
555	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
556	C₂²×D₁₃	—	2	2	no	—
557	C₂²×D₁₃	—	2	2	no	—
558	C₂²×D₁₃	—	2	2	no	—
559	C₂²×D₁₃	—	2	2	no	—
560	C₂²×D₁₃	—	2	4	no	—
561	C₂²×D₁₃	—	2	4	no	—
562	C₂²×D₁₃	—	2	2	no	—
563	C₂²×D₁₃	—	2	2	no	—
564	C₂²×D₁₃	—	2	2	no	—
565	C₂²×D₁₃	—	2	2	no	—
566	C₂²×D₁₃	—	2	4	no	—
567	C₂²×D₁₃	—	2	2	no	—
568	C₂²×D₁₃	—	2	2	no	—
569	C₂²×D₁₃	—	2	2	no	—
570	C₂²×D₁₃	—	2	2	no	—
571	C₂²×D₁₃	—	4	4	no	—
572	C₂²×D₁₃	—	4	4	no	—
573	C₂²×D₁₃	—	4	4	no	—
574	C₂²×D₁₃	—	4	8	no	—
575	C₂²×D₁₃	—	4	8	no	—
576	C₂²×D₁₃	—	4	8	no	—
577	C₂²×D₁₃	—	4	16	no	—
578	C₂²×D₁₃	—	8	16	no	—
579	C₂²×D₁₃	C₂⁵	1	2	yes	—
580	C₂²×D₁₃	C₂⁵	1	2	yes	—
581	C₂²×D₁₃	C₂⁵	1	2	yes	—
582	C₂²×D₁₃	C₂⁵	1	4	yes	—
583	C₂²×D₁₃	C₂⁵	1	2	yes	—
584	Q₈×C₁₃	—	2	8	no	—
585	Q₈×C₁₃	—	4	8	no	—
586	D₄×C₁₃	—	2	8	no	—
587	D₄×C₁₃	—	4	8	no	—
588	C₂×C₄×C₁₃	—	2	2	no	—
589	C₂×C₄×C₁₃	—	2	4	no	—
590	C₂×C₄×C₁₃	—	2	2	no	—
591	C₂×C₄×C₁₃	—	2	2	no	—
592	C₂×C₄×C₁₃	—	2	2	no	—
593	C₂×C₄×C₁₃	—	2	4	no	—
594	C₂×C₄×C₁₃	—	2	4	no	—
595	C₂×C₄×C₁₃	—	2	2	no	—
596	C₂×C₄×C₁₃	—	2	8	no	—
597	C₂×C₄×C₁₃	—	4	8	no	—
598	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
599	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
600	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
601	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
602	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
603	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
604	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
605	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
606	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
607	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
608	C₂²⋊D₁₃	—	4	4	no	—
609	C₂²⋊D₁₃	—	4	4	no	—
610	C₂²⋊D₁₃	—	4	8	no	—
611	C₂²⋊D₁₃	—	4	8	no	—
612	C₂²⋊D₁₃	—	4	8	no	—
613	C₂²⋊D₁₃	—	4	8	no	—
614	C₂²⋊D₁₃	—	4	8	no	—
615	C₂×Dic₁₃	—	2	4	no	—
616	C₂×Dic₁₃	—	2	2	no	—
617	C₂×Dic₁₃	—	2	2	no	—
618	C₂×Dic₁₃	—	2	2	no	—
619	C₂×Dic₁₃	—	2	2	no	—
620	C₂×Dic₁₃	—	2	4	no	—
621	C₂×Dic₁₃	—	2	4	no	—
622	C₂×Dic₁₃	—	4	4	no	—
623	C₂×Dic₁₃	—	4	8	no	—
624	C₂×Dic₁₃	C₂⁵	1	4	yes	—
625	C₂×Dic₁₃	C₂⁵	1	2	yes	—
626	C₂×Dic₁₃	C₂⁵	1	4	yes	—
627	C₂×Dic₁₃	C₂⁵	1	2	yes	—
628	C₂×Dic₁₃	C₂⁵	1	2	yes	—
629	C₂×Dic₁₃	C₂⁵	1	2	yes	—
630	C₂×Dic₁₃	C₂⁵	1	4	yes	—
631	D₅₂	—	2	8	no	—
632	D₅₂	—	4	4	no	—
633	D₅₂	—	4	4	no	—
634	D₅₂	—	4	4	no	—
635	D₅₂	—	4	8	no	—
636	D₅₂	—	4	8	no	—
637	D₅₂	—	4	4	no	—
638	D₅₂	—	4	4	no	—
639	D₅₂	—	4	8	no	—
640	C₄×D₁₃	—	2	8	no	—
641	C₄×D₁₃	—	2	8	no	—
642	C₄×D₁₃	—	2	8	no	—
643	C₄×D₁₃	—	2	8	no	—
644	C₄×D₁₃	—	4	4	no	—
645	C₄×D₁₃	—	4	4	no	—
646	C₄×D₁₃	—	4	8	no	—
647	C₄×D₁₃	—	4	8	no	—
648	C₄×D₁₃	—	4	8	no	—
649	Dic₂₆	—	2	8	no	—
650	Dic₂₆	—	4	8	no	—
651	Dic₂₆	—	4	4	no	—
652	Dic₂₆	—	4	8	no	—
653	C₂²×#41	—	13	1	no	—
654	C₂²×#41	—	13	1	no	—
655	C₂²×#41	—	13	1	no	—
656	C₂³×Q₈	—	13	1	no	—
657	C₂³×D₄	—	13	1	no	—
658	C₂⁴×C₄	—	13	1	no	—
659	H(3,𝔽₄)	—	13	32	no	—
660	#560	—	13	32	no	—
661	#559	—	13	32	no	—
662	#556	—	13	16	no	—
663	#556	—	13	16	no	—
664	#555	—	13	16	no	—
665	#555	—	13	16	no	—
666	#551	—	13	32	no	—
667	#548	—	13	16	no	—
668	#548	—	13	16	no	—
669	#546	—	13	16	no	—
670	#546	—	13	16	no	—
671	#542	—	13	32	no	—
672	#542	—	13	32	no	—
673	#542	—	13	16	no	—
674	#542	C₂×D₁₃	1	16	yes	complemented
675	#538	—	13	32	no	—
676	#538	—	13	32	no	—
677	#536	—	13	16	no	—
678	#535	—	13	16	no	—
679	C₂×C₄⋊Q₈	—	13	2	no	—
680	C₂×C₄⋊Q₈	—	13	1	no	—
681	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
682	C₂×#127	—	13	2	no	—
683	C₂×#126	—	13	2	no	—
684	C₂×#126	—	13	2	no	—
685	C₂×#126	—	13	2	no	—
686	C₂×#126	—	13	2	no	—
687	C₂×#126	—	13	2	no	—
688	C₂×#126	C₂×D₁₃	1	2	yes	complemented
689	C₂×#124	—	13	2	no	—
690	C₂×#124	—	13	2	no	—
691	C₂×#124	—	13	2	no	—
692	C₂×#124	—	13	2	no	—
693	C₂×#124	—	13	2	no	—
694	C₂×#124	—	13	2	no	—
695	C₂×#124	—	13	2	no	—
696	C₂×#124	—	13	2	no	—
697	C₂×#124	—	13	2	no	—
698	C₂×#124	—	13	2	no	—
699	C₂×#124	—	13	1	no	—
700	C₂×#124	—	13	2	no	—
701	C₂×#124	C₂×D₁₃	1	1	yes	characteristic, complemented
702	C₂×#124	C₂×D₁₃	1	2	yes	complemented
703	#525	—	13	16	no	—
704	#525	—	13	16	no	—
705	#525	—	13	16	no	—
706	C₂×#123	—	13	2	no	—
707	C₂×#123	—	13	2	no	—
708	C₂×#123	—	13	2	no	—
709	C₂×#123	—	13	2	no	—
710	C₂×#123	—	13	2	no	—
711	C₂×#123	—	13	2	no	—
712	C₂×#123	—	13	1	no	—
713	C₂×#123	—	13	1	no	—
714	C₂×#123	—	13	2	no	—
715	C₂×#123	C₂×D₁₃	1	2	yes	complemented
716	C₂×C₂²⋊Q₈	—	13	1	no	—
717	C₂×C₂²⋊Q₈	—	13	1	no	—
718	C₂×C₂²⋊Q₈	—	13	1	no	—
719	C₂×C₂²⋊Q₈	—	13	2	no	—
720	C₂×C₂²⋊Q₈	—	13	1	no	—
721	C₂×C₂²⋊Q₈	—	13	1	no	—
722	C₂×C₂²⋊Q₈	—	13	1	no	—
723	C₂×C₂²⋊Q₈	—	13	1	no	—
724	C₂×C₂²⋊Q₈	—	13	2	no	—
725	C₂×C₂²⋊Q₈	—	13	2	no	—
726	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
727	C₂×C₂²⋊Q₈	C₂×D₁₃	1	2	yes	complemented
728	C₂×#121	—	13	1	no	—
729	C₂×#121	—	13	1	no	—
730	C₂×#121	—	13	1	no	—
731	C₂×#121	—	13	2	no	—
732	C₂×#121	—	13	2	no	—
733	C₂×#121	—	13	1	no	—
734	C₂×#121	—	13	1	no	—
735	C₂×#121	—	13	1	no	—
736	C₂×#121	—	13	1	no	—
737	C₂×#121	—	13	2	no	—
738	C₂×#121	—	13	2	no	—
739	C₂×#121	—	13	2	no	—
740	C₂×#121	—	13	2	no	—
741	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
742	C₂×#120	—	13	2	no	—
743	C₂×#120	—	13	2	no	—
744	C₂×#120	—	13	1	no	—
745	C₂×#120	—	13	2	no	—
746	C₂×#120	—	13	2	no	—
747	C₂×#120	—	13	1	no	—
748	C₂×#120	—	13	2	no	—
749	C₂×#120	—	13	2	no	—
750	C₂×C₄×Q₈	—	13	2	no	—
751	C₂×C₄×Q₈	—	13	1	no	—
752	C₂×C₄×Q₈	—	13	2	no	—
753	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
754	C₂×C₄×D₄	—	13	2	no	—
755	C₂×C₄×D₄	—	13	2	no	—
756	C₂×C₄×D₄	—	13	2	no	—
757	C₂×C₄×D₄	—	13	2	no	—
758	C₂×C₄×D₄	—	13	2	no	—
759	C₂×C₄×D₄	—	13	1	no	—
760	C₂×C₄×D₄	—	13	1	no	—
761	C₂×C₄×D₄	—	13	1	no	—
762	C₂×C₄×D₄	—	13	1	no	—
763	C₂×C₄×D₄	—	13	2	no	—
764	C₂×C₄×D₄	—	13	1	no	—
765	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
766	C₂×#117	—	13	2	no	—
767	C₂×#117	—	13	1	no	—
768	C₂×#117	—	13	1	no	—
769	C₂×#117	—	13	1	no	—
770	C₂×#117	—	13	1	no	—
771	C₂×#117	—	13	2	no	—
772	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
773	C₂²×C₂²⋊C₄	—	13	2	no	—
774	C₂²×C₂²⋊C₄	—	13	2	no	—
775	C₂²×C₁₃	—	2	2	no	—
776	C₂²×C₁₃	—	2	4	no	—
777	C₂²×C₁₃	—	2	2	no	—
778	C₂²×C₁₃	—	2	4	no	—
779	C₂²×C₁₃	—	2	4	no	—
780	C₂²×C₁₃	—	2	2	no	—
781	C₂²×C₁₃	—	4	4	no	—
782	C₂²×C₁₃	—	4	8	no	—
783	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
784	C₂²×C₁₃	#585	1	2	yes	—
785	C₂²×C₁₃	#585	1	2	yes	—
786	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
787	C₂×D₁₃	—	2	2	no	—
788	C₂×D₁₃	—	2	2	no	—
789	C₂×D₁₃	—	2	2	no	—
790	C₂×D₁₃	—	2	2	no	—
791	C₂×D₁₃	—	2	4	no	—
792	C₂×D₁₃	—	2	4	no	—
793	C₂×D₁₃	—	2	2	no	—
794	C₂×D₁₃	—	2	2	no	—
795	C₂×D₁₃	—	2	2	no	—
796	C₂×D₁₃	—	2	4	no	—
797	C₂×D₁₃	—	2	2	no	—
798	C₂×D₁₃	—	2	2	no	—
799	C₂×D₁₃	—	2	2	no	—
800	C₂×D₁₃	—	2	2	no	—
801	C₂×D₁₃	—	2	2	no	—
802	C₂×D₁₃	—	4	16	no	—
803	C₂×D₁₃	—	4	4	no	—
804	C₂×D₁₃	—	4	4	no	—
805	C₂×D₁₃	—	4	4	no	—
806	C₂×D₁₃	—	4	8	no	—
807	C₂×D₁₃	—	4	4	no	—
808	C₂×D₁₃	—	8	16	no	—
809	C₄×C₁₃	—	2	2	no	—
810	C₄×C₁₃	—	2	4	no	—
811	C₄×C₁₃	—	2	2	no	—
812	C₄×C₁₃	—	2	2	no	—
813	C₄×C₁₃	—	2	2	no	—
814	C₄×C₁₃	—	2	4	no	—
815	C₄×C₁₃	—	2	4	no	—
816	C₄×C₁₃	—	2	2	no	—
817	C₄×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
818	Dic₁₃	—	2	4	no	—
819	Dic₁₃	—	2	2	no	—
820	Dic₁₃	—	2	2	no	—
821	Dic₁₃	—	2	2	no	—
822	Dic₁₃	—	2	2	no	—
823	Dic₁₃	—	2	4	no	—
824	Dic₁₃	—	2	4	no	—
825	C₂⁵	—	13	2	no	—
826	C₂⁵	—	13	1	no	—
827	C₂×#41	—	13	8	no	—
828	C₂×#41	—	13	8	no	—
829	C₂×#41	—	13	8	no	—
830	C₂×#41	—	52	4	no	—
831	C₂×#41	—	52	4	no	—
832	C₂×#41	—	52	4	no	—
833	C₂²×Q₈	—	13	8	no	—
834	C₂²×Q₈	—	13	1	no	—
835	C₂²×Q₈	—	13	2	no	—
836	C₂²×Q₈	—	13	2	no	—
837	C₂²×Q₈	—	13	1	no	—
838	C₂²×Q₈	—	52	4	no	—
839	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
840	C₂²×Q₈	C₂²×D₁₃	1	2	yes	—
841	C₂²×D₄	—	13	2	no	—
842	C₂²×D₄	—	13	2	no	—
843	C₂²×D₄	—	13	2	no	—
844	C₂²×D₄	—	13	1	no	—
845	C₂²×D₄	—	13	2	no	—
846	C₂²×D₄	—	13	1	no	—
847	C₂²×D₄	—	13	2	no	—
848	C₂²×D₄	—	13	8	no	—
849	C₂²×D₄	—	13	1	no	—
850	C₂²×D₄	—	13	1	no	—
851	C₂²×D₄	—	13	1	no	—
852	C₂²×D₄	—	13	2	no	—
853	C₂²×D₄	—	13	1	no	—
854	C₂²×D₄	—	13	1	no	—
855	C₂²×D₄	—	13	2	no	—
856	C₂²×D₄	—	13	1	no	—
857	C₂²×D₄	—	13	2	no	—
858	C₂²×D₄	—	52	4	no	—
859	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
860	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
861	C₂³×C₄	—	13	2	no	—
862	C₂³×C₄	—	13	1	no	—
863	C₂³×C₄	—	13	1	no	—
864	C₂³×C₄	—	13	1	no	—
865	C₂³×C₄	—	13	1	no	—
866	C₂³×C₄	—	13	1	no	—
867	C₂³×C₄	—	13	2	no	—
868	C₂³×C₄	—	13	2	no	—
869	C₂³×C₄	—	13	2	no	—
870	C₂³×C₄	—	13	1	no	—
871	C₂³×C₄	—	13	1	no	—
872	C₂³×C₄	—	13	8	no	—
873	C₂³×C₄	—	52	4	no	—
874	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
875	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
876	C₄⋊Q₈	—	13	16	no	—
877	C₄⋊Q₈	—	13	8	no	—
878	C₄⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
879	#127	—	13	16	no	—
880	#126	—	13	16	no	—
881	#126	—	13	16	no	—
882	#126	—	13	16	no	—
883	#126	—	13	16	no	—
884	#126	—	13	16	no	—
885	#126	C₂²×D₁₃	1	16	yes	complemented
886	#124	—	13	16	no	—
887	#124	—	13	16	no	—
888	#124	—	13	16	no	—
889	#124	—	13	16	no	—
890	#124	—	13	16	no	—
891	#124	—	13	16	no	—
892	#124	—	13	16	no	—
893	#124	—	13	16	no	—
894	#124	—	13	16	no	—
895	#124	—	13	16	no	—
896	#124	—	13	8	no	—
897	#124	—	13	16	no	—
898	#124	C₂²×D₁₃	1	8	yes	complemented
899	#124	C₂²×D₁₃	1	16	yes	complemented
900	#123	—	13	16	no	—
901	#123	—	13	16	no	—
902	#123	—	13	16	no	—
903	#123	—	13	8	no	—
904	#123	—	13	8	no	—
905	#123	—	13	16	no	—
906	#123	—	13	16	no	—
907	#123	—	13	16	no	—
908	#123	—	13	16	no	—
909	#123	C₂²×D₁₃	1	16	yes	complemented
910	C₂²⋊Q₈	—	13	8	no	—
911	C₂²⋊Q₈	—	13	8	no	—
912	C₂²⋊Q₈	—	13	8	no	—
913	C₂²⋊Q₈	—	13	8	no	—
914	C₂²⋊Q₈	—	13	8	no	—
915	C₂²⋊Q₈	—	13	8	no	—
916	C₂²⋊Q₈	—	13	8	no	—
917	C₂²⋊Q₈	—	13	16	no	—
918	C₂²⋊Q₈	—	13	16	no	—
919	C₂²⋊Q₈	—	13	16	no	—
920	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
921	C₂²⋊Q₈	C₂²×D₁₃	1	16	yes	complemented
922	#121	—	13	8	no	—
923	#121	—	13	8	no	—
924	#121	—	13	8	no	—
925	#121	—	13	16	no	—
926	#121	—	13	16	no	—
927	#121	—	13	8	no	—
928	#121	—	13	8	no	—
929	#121	—	13	8	no	—
930	#121	—	13	8	no	—
931	#121	—	13	16	no	—
932	#121	—	13	16	no	—
933	#121	—	13	16	no	—
934	#121	—	13	16	no	—
935	#121	C₂²×D₁₃	1	8	yes	—
936	#120	—	13	16	no	—
937	#120	—	13	16	no	—
938	#120	—	13	8	no	—
939	#120	—	13	16	no	—
940	#120	—	13	8	no	—
941	#120	—	13	16	no	—
942	#120	—	13	16	no	—
943	#120	—	13	16	no	—
944	C₄×Q₈	—	13	16	no	—
945	C₄×Q₈	—	13	8	no	—
946	C₄×Q₈	—	13	16	no	—
947	C₄×Q₈	C₂²×D₁₃	1	8	yes	complemented
948	C₄×D₄	—	13	16	no	—
949	C₄×D₄	—	13	16	no	—
950	C₄×D₄	—	13	16	no	—
951	C₄×D₄	—	13	16	no	—
952	C₄×D₄	—	13	16	no	—
953	C₄×D₄	—	13	8	no	—
954	C₄×D₄	—	13	8	no	—
955	C₄×D₄	—	13	8	no	—
956	C₄×D₄	—	13	8	no	—
957	C₄×D₄	—	13	16	no	—
958	C₄×D₄	—	13	8	no	—
959	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
960	#117	—	13	16	no	—
961	#117	—	13	8	no	—
962	#117	—	13	8	no	—
963	#117	—	13	8	no	—
964	#117	—	13	8	no	—
965	#117	—	13	16	no	—
966	#117	C₂²×D₁₃	1	8	yes	complemented
967	C₂×C₄⋊C₄	—	13	1	no	—
968	C₂×C₄⋊C₄	—	13	1	no	—
969	C₂×C₄⋊C₄	—	13	1	no	—
970	C₂×C₄⋊C₄	—	13	1	no	—
971	C₂×C₄⋊C₄	—	13	2	no	—
972	C₂×C₄⋊C₄	—	13	2	no	—
973	C₂×C₄⋊C₄	—	13	2	no	—
974	C₂×C₄⋊C₄	—	13	1	no	—
975	C₂×C₄⋊C₄	—	13	1	no	—
976	C₂×C₄⋊C₄	—	13	2	no	—
977	C₂×C₄⋊C₄	—	13	2	no	—
978	C₂×C₄⋊C₄	—	13	2	no	—
979	C₂×C₄⋊C₄	—	13	2	no	—
980	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
982	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
983	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
984	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
985	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
986	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
987	C₂×C₂²⋊C₄	—	13	2	no	—
988	C₂×C₂²⋊C₄	—	13	2	no	—
989	C₂×C₂²⋊C₄	—	13	2	no	—
990	C₂×C₂²⋊C₄	—	13	1	no	—
991	C₂×C₂²⋊C₄	—	13	1	no	—
992	C₂×C₂²⋊C₄	—	13	2	no	—
993	C₂×C₂²⋊C₄	—	13	2	no	—
994	C₂×C₂²⋊C₄	—	13	2	no	—
995	C₂×C₂²⋊C₄	—	13	2	no	—
996	C₂×C₂²⋊C₄	—	13	16	no	—
997	C₂×C₂²⋊C₄	—	13	2	no	—
998	C₂×C₂²⋊C₄	—	13	2	no	—
999	C₂×C₂²⋊C₄	—	13	2	no	—
1000	C₂×C₂²⋊C₄	—	13	2	no	—
1001	C₂×C₂²⋊C₄	—	13	2	no	—
1002	C₂×C₂²⋊C₄	—	13	1	no	—
1003	C₂×C₂²⋊C₄	—	13	1	no	—
1004	C₂×C₂²⋊C₄	—	13	1	no	—
1005	C₂×C₂²⋊C₄	—	13	1	no	—
1006	C₂×C₂²⋊C₄	—	13	2	no	—
1007	C₂×C₂²⋊C₄	—	13	2	no	—
1008	C₂×C₂²⋊C₄	—	13	2	no	—
1009	C₂×C₂²⋊C₄	—	13	2	no	—
1010	C₂×C₂²⋊C₄	—	13	1	no	—
1011	C₂×C₂²⋊C₄	—	13	1	no	—
1012	C₂×C₂²⋊C₄	—	13	2	no	—
1013	C₂×C₂²⋊C₄	—	13	16	no	—
1014	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1015	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1016	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1018	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1019	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1020	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1021	C₂×C₄²	—	13	2	no	—
1022	C₂×C₄²	—	13	2	no	—
1023	C₂×C₄²	—	13	2	no	—
1024	C₂×C₄²	—	13	2	no	—
1025	C₂×C₄²	—	13	2	no	—
1026	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1027	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1028	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
1029	C₂×C₁₃	—	4	2	no	—
1030	C₂×C₁₃	—	4	4	no	—
1031	C₂×C₁₃	#3540	1	4	yes	complemented
1032	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1033	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1034	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1035	D₁₃	—	4	2	no	—
1036	D₁₃	—	4	2	no	—
1037	D₁₃	—	4	2	no	—
1038	D₁₃	—	4	4	no	—
1039	D₁₃	—	4	2	no	—
1040	C₂⁴	—	13	1	no	—
1041	C₂⁴	—	13	1	no	—
1042	C₂⁴	—	13	1	no	—
1043	C₂⁴	—	13	2	no	—
1044	C₂⁴	—	13	1	no	—
1045	C₂⁴	—	13	8	no	—
1046	C₂⁴	—	13	4	no	—
1047	C₂⁴	—	52	2	no	—
1048	C₂⁴	—	52	2	no	—
1049	C₂⁴	—	52	2	no	—
1050	C₂⁴	—	52	4	no	—
1051	C₂⁴	—	52	4	no	—
1052	C₂⁴	—	52	4	no	—
1053	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1054	C₂⁴	C₂³×D₁₃	1	2	yes	—
1055	#41	—	52	16	no	—
1056	#41	—	52	16	no	—
1057	#41	—	52	16	no	—
1058	C₂×Q₈	—	2	4	no	—
1059	C₂×Q₈	—	4	4	no	—
1060	C₂×Q₈	—	13	4	no	—
1061	C₂×Q₈	—	13	8	no	—
1062	C₂×Q₈	—	13	8	no	—
1063	C₂×Q₈	—	13	4	no	—
1064	C₂×Q₈	—	26	4	no	—
1065	C₂×Q₈	—	52	4	no	—
1066	C₂×Q₈	—	52	2	no	—
1067	C₂×Q₈	—	52	4	no	—
1068	C₂×Q₈	—	52	16	no	—
1069	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1070	C₂×Q₈	C₂³×D₁₃	1	8	yes	—
1071	C₂×D₄	—	2	4	no	—
1072	C₂×D₄	—	4	4	no	—
1073	C₂×D₄	—	13	8	no	—
1074	C₂×D₄	—	13	8	no	—
1075	C₂×D₄	—	13	8	no	—
1076	C₂×D₄	—	13	4	no	—
1077	C₂×D₄	—	13	8	no	—
1078	C₂×D₄	—	13	4	no	—
1079	C₂×D₄	—	13	8	no	—
1080	C₂×D₄	—	13	4	no	—
1081	C₂×D₄	—	13	4	no	—
1082	C₂×D₄	—	13	4	no	—
1083	C₂×D₄	—	13	8	no	—
1084	C₂×D₄	—	13	4	no	—
1085	C₂×D₄	—	13	4	no	—
1086	C₂×D₄	—	13	8	no	—
1087	C₂×D₄	—	13	4	no	—
1088	C₂×D₄	—	13	8	no	—
1089	C₂×D₄	—	26	4	no	—
1090	C₂×D₄	—	52	2	no	—
1091	C₂×D₄	—	52	4	no	—
1092	C₂×D₄	—	52	2	no	—
1093	C₂×D₄	—	52	4	no	—
1094	C₂×D₄	—	52	4	no	—
1095	C₂×D₄	—	52	2	no	—
1096	C₂×D₄	—	52	2	no	—
1097	C₂×D₄	—	52	2	no	—
1098	C₂×D₄	—	52	16	no	—
1099	C₂×D₄	—	52	4	no	—
1100	C₂×D₄	—	52	2	no	—
1101	C₂×D₄	—	52	2	no	—
1102	C₂×D₄	—	52	4	no	—
1103	C₂×D₄	—	52	4	no	—
1104	C₂×D₄	—	52	4	no	—
1105	C₂×D₄	—	52	4	no	—
1106	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1107	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1108	C₂²×C₄	—	2	4	no	—
1109	C₂²×C₄	—	4	4	no	—
1110	C₂²×C₄	—	13	2	no	—
1111	C₂²×C₄	—	13	2	no	—
1112	C₂²×C₄	—	13	1	no	—
1113	C₂²×C₄	—	13	1	no	—
1114	C₂²×C₄	—	13	1	no	—
1115	C₂²×C₄	—	13	1	no	—
1116	C₂²×C₄	—	13	2	no	—
1117	C₂²×C₄	—	13	8	no	—
1118	C₂²×C₄	—	13	4	no	—
1119	C₂²×C₄	—	13	4	no	—
1120	C₂²×C₄	—	13	4	no	—
1121	C₂²×C₄	—	13	4	no	—
1122	C₂²×C₄	—	13	4	no	—
1123	C₂²×C₄	—	13	8	no	—
1124	C₂²×C₄	—	13	8	no	—
1125	C₂²×C₄	—	13	8	no	—
1126	C₂²×C₄	—	13	4	no	—
1127	C₂²×C₄	—	13	4	no	—
1128	C₂²×C₄	—	26	4	no	—
1129	C₂²×C₄	—	26	4	no	—
1130	C₂²×C₄	—	26	4	no	—
1131	C₂²×C₄	—	26	4	no	—
1132	C₂²×C₄	—	52	16	no	—
1133	C₂²×C₄	—	52	2	no	—
1134	C₂²×C₄	—	52	2	no	—
1135	C₂²×C₄	—	52	4	no	—
1136	C₂²×C₄	—	52	4	no	—
1137	C₂²×C₄	—	52	4	no	—
1138	C₂²×C₄	—	52	2	no	—
1139	C₂²×C₄	—	52	4	no	—
1140	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1141	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1142	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1143	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1144	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1145	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1146	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1147	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1148	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1149	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1150	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1151	C₄⋊C₄	—	13	4	no	—
1152	C₄⋊C₄	—	13	4	no	—
1153	C₄⋊C₄	—	13	4	no	—
1154	C₄⋊C₄	—	13	4	no	—
1155	C₄⋊C₄	—	13	8	no	—
1156	C₄⋊C₄	—	13	8	no	—
1157	C₄⋊C₄	—	13	8	no	—
1158	C₄⋊C₄	—	13	4	no	—
1159	C₄⋊C₄	—	13	4	no	—
1160	C₄⋊C₄	—	13	8	no	—
1161	C₄⋊C₄	—	13	8	no	—
1162	C₄⋊C₄	—	13	8	no	—
1163	C₄⋊C₄	—	13	8	no	—
1164	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1165	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1166	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1167	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1168	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1169	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1170	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1171	C₂²⋊C₄	—	13	8	no	—
1172	C₂²⋊C₄	—	13	8	no	—
1173	C₂²⋊C₄	—	13	8	no	—
1174	C₂²⋊C₄	—	13	4	no	—
1175	C₂²⋊C₄	—	13	4	no	—
1176	C₂²⋊C₄	—	13	8	no	—
1177	C₂²⋊C₄	—	13	8	no	—
1178	C₂²⋊C₄	—	13	8	no	—
1179	C₂²⋊C₄	—	13	8	no	—
1180	C₂²⋊C₄	—	13	8	no	—
1181	C₂²⋊C₄	—	13	8	no	—
1182	C₂²⋊C₄	—	13	8	no	—
1183	C₂²⋊C₄	—	13	8	no	—
1184	C₂²⋊C₄	—	13	8	no	—
1185	C₂²⋊C₄	—	13	4	no	—
1186	C₂²⋊C₄	—	13	4	no	—
1187	C₂²⋊C₄	—	13	4	no	—
1188	C₂²⋊C₄	—	13	4	no	—
1189	C₂²⋊C₄	—	13	8	no	—
1190	C₂²⋊C₄	—	13	8	no	—
1191	C₂²⋊C₄	—	13	8	no	—
1192	C₂²⋊C₄	—	13	8	no	—
1193	C₂²⋊C₄	—	13	4	no	—
1194	C₂²⋊C₄	—	13	4	no	—
1195	C₂²⋊C₄	—	13	8	no	—
1196	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1197	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1198	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1199	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1200	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1201	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1202	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1203	C₄²	—	13	8	no	—
1204	C₄²	—	13	8	no	—
1205	C₄²	—	13	8	no	—
1206	C₄²	—	13	8	no	—
1207	C₄²	—	13	8	no	—
1208	C₄²	C₂³×D₁₃	1	4	yes	—
1209	C₄²	C₂³×D₁₃	1	4	yes	—
1210	C₄²	C₂³×D₁₃	1	8	yes	—
1211	C₁₃	C₂×#3540	1	1	yes	characteristic, complemented, Sylow
1212	C₂³	—	2	2	no	—
1213	C₂³	—	2	4	no	—
1214	C₂³	—	2	4	no	—
1215	C₂³	—	2	2	no	—
1216	C₂³	—	2	2	no	—
1217	C₂³	—	2	4	no	—
1218	C₂³	—	13	2	no	—
1219	C₂³	—	13	2	no	—
1220	C₂³	—	13	2	no	—
1221	C₂³	—	13	4	no	—
1222	C₂³	—	13	2	no	—
1223	C₂³	—	26	2	no	—
1224	C₂³	—	26	2	no	—
1225	C₂³	—	26	2	no	—
1226	C₂³	—	26	2	no	—
1227	C₂³	—	26	4	no	—
1228	C₂³	—	26	2	no	—
1229	C₂³	—	26	2	no	—
1230	C₂³	—	26	2	no	—
1231	C₂³	—	26	4	no	—
1232	C₂³	—	26	2	no	—
1233	C₂³	—	26	4	no	—
1234	C₂³	—	26	2	no	—
1235	C₂³	—	26	2	no	—
1236	C₂³	—	26	2	no	—
1237	C₂³	—	26	2	no	—
1238	C₂³	—	52	4	no	—
1239	C₂³	—	52	4	no	—
1240	C₂³	—	52	4	no	—
1241	C₂³	—	52	8	no	—
1242	C₂³	—	52	8	no	—
1243	C₂³	—	52	8	no	—
1244	C₂³	—	52	16	no	—
1245	C₂³	—	104	16	no	—
1246	C₂³	C₂⁴×D₁₃	1	2	yes	—
1247	C₂³	C₂⁴×D₁₃	1	4	yes	—
1248	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1249	Q₈	—	2	8	no	—
1250	Q₈	—	4	8	no	—
1251	Q₈	—	26	8	no	—
1252	Q₈	—	52	8	no	—
1253	Q₈	—	52	8	no	—
1254	Q₈	—	52	4	no	—
1255	D₄	—	2	8	no	—
1256	D₄	—	4	8	no	—
1257	D₄	—	26	8	no	—
1258	D₄	—	52	4	no	—
1259	D₄	—	52	8	no	—
1260	D₄	—	52	8	no	—
1261	D₄	—	52	4	no	—
1262	D₄	—	52	4	no	—
1263	D₄	—	52	4	no	—
1264	D₄	—	52	4	no	—
1265	D₄	—	52	8	no	—
1266	D₄	—	52	8	no	—
1267	D₄	—	52	8	no	—
1268	D₄	—	52	8	no	—
1269	D₄	—	52	8	no	—
1270	D₄	—	52	4	no	—
1271	D₄	—	52	4	no	—
1272	D₄	—	52	8	no	—
1273	C₂×C₄	—	2	2	no	—
1274	C₂×C₄	—	2	4	no	—
1275	C₂×C₄	—	2	2	no	—
1276	C₂×C₄	—	2	4	no	—
1277	C₂×C₄	—	2	4	no	—
1278	C₂×C₄	—	2	2	no	—
1279	C₂×C₄	—	2	2	no	—
1280	C₂×C₄	—	2	2	no	—
1281	C₂×C₄	—	2	8	no	—
1282	C₂×C₄	—	4	8	no	—
1283	C₂×C₄	—	13	4	no	—
1284	C₂×C₄	—	13	4	no	—
1285	C₂×C₄	—	13	2	no	—
1286	C₂×C₄	—	13	2	no	—
1287	C₂×C₄	—	13	2	no	—
1288	C₂×C₄	—	13	2	no	—
1289	C₂×C₄	—	13	4	no	—
1290	C₂×C₄	—	26	2	no	—
1291	C₂×C₄	—	26	2	no	—
1292	C₂×C₄	—	26	2	no	—
1293	C₂×C₄	—	26	2	no	—
1294	C₂×C₄	—	26	4	no	—
1295	C₂×C₄	—	26	4	no	—
1296	C₂×C₄	—	26	4	no	—
1297	C₂×C₄	—	26	8	no	—
1298	C₂×C₄	—	26	8	no	—
1299	C₂×C₄	—	26	8	no	—
1300	C₂×C₄	—	26	8	no	—
1301	C₂×C₄	—	52	8	no	—
1302	C₂×C₄	—	52	4	no	—
1303	C₂×C₄	—	52	4	no	—
1304	C₂×C₄	—	52	8	no	—
1305	C₂×C₄	—	52	8	no	—
1306	C₂×C₄	—	52	4	no	—
1307	C₂×C₄	—	52	8	no	—
1308	C₂×C₄	#88256	1	4	yes	—
1309	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1310	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1311	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1312	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1313	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1314	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1315	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1316	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1317	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1318	C₂²	—	2	2	no	—
1319	C₂²	—	2	4	no	—
1320	C₂²	—	2	4	no	—
1321	C₂²	—	2	2	no	—
1322	C₂²	—	2	2	no	—
1323	C₂²	—	2	4	no	—
1324	C₂²	—	4	4	no	—
1325	C₂²	—	4	8	no	—
1326	C₂²	—	26	2	no	—
1327	C₂²	—	26	2	no	—
1328	C₂²	—	26	2	no	—
1329	C₂²	—	26	2	no	—
1330	C₂²	—	26	4	no	—
1331	C₂²	—	26	2	no	—
1332	C₂²	—	26	2	no	—
1333	C₂²	—	26	2	no	—
1334	C₂²	—	26	4	no	—
1335	C₂²	—	26	2	no	—
1336	C₂²	—	26	4	no	—
1337	C₂²	—	26	2	no	—
1338	C₂²	—	26	2	no	—
1339	C₂²	—	26	2	no	—
1340	C₂²	—	26	2	no	—
1341	C₂²	—	52	16	no	—
1342	C₂²	—	52	4	no	—
1343	C₂²	—	52	4	no	—
1344	C₂²	—	52	4	no	—
1345	C₂²	—	52	8	no	—
1346	C₂²	—	52	4	no	—
1347	C₂²	—	104	16	no	—
1348	C₂²	C₂×#88256	1	2	yes	—
1349	C₂²	#11719650	1	2	yes	—
1350	C₂²	#11719652	1	2	yes	—
1351	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1352	C₄	—	2	2	no	—
1353	C₄	—	2	4	no	—
1354	C₄	—	2	2	no	—
1355	C₄	—	2	4	no	—
1356	C₄	—	2	4	no	—
1357	C₄	—	2	2	no	—
1358	C₄	—	2	2	no	—
1359	C₄	—	2	2	no	—
1360	C₄	—	26	2	no	—
1361	C₄	—	26	2	no	—
1362	C₄	—	26	2	no	—
1363	C₄	—	26	2	no	—
1364	C₄	—	26	4	no	—
1365	C₄	—	26	4	no	—
1366	C₄	—	26	4	no	—
1367	C₄	C₂×#88256	1	4	yes	—
1368	C₂	—	4	2	no	—
1369	C₂	—	4	4	no	—
1370	C₂	—	52	2	no	—
1371	C₂	—	52	2	no	—
1372	C₂	—	52	2	no	—
1373	C₂	—	52	4	no	—
1374	C₂	—	52	2	no	—
1375	C₂	#13129108	1	4	yes	direct product factor
1376	C₂	C₂²×#88256	1	1	yes	characteristic
1377	C₂	C₂×#11719650	1	1	yes	characteristic
1378	C₂	C₂×#11719652	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#542	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#542	D₁₃
hypocenter	C₁₃	C₂×#3540
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#542

Complements

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

N	H ≅ G/N	type
1. #13129108	C₂	direct (N × H)
2. C₂×#11719388	C₂	semidirect
3. C₂×#11719371	C₂	semidirect
4. C₂×#11719386	C₂	semidirect
5. C₂×#11719437	C₂	semidirect
6. C₂×#11719289	C₂	semidirect
7. C₂×#11719439	C₂	semidirect
8. C₂×#11719268	C₂	semidirect
9. C₂×#11719363	C₂	semidirect
10. C₂×#11719281	C₂	semidirect
11. C₂×#11719382	C₂	semidirect
12. C₂×#11719259	C₂	semidirect
13. C₂×#11719381	C₂	semidirect
14. C₂×#11719348	C₂	semidirect
15. C₂×#11719239	C₂	semidirect
16. C₂×#11719415	C₂	semidirect
17. C₂×#11719349	C₂	semidirect
18. C₂×#11719409	C₂	semidirect
19. C₂×#11719333	C₂	semidirect
20. C₂×#11719312	C₂	semidirect
21. C₂×#11719332	C₂	semidirect
22. C₂×#11719229	C₂	semidirect
23. C₂×#11719311	C₂	semidirect
24. C₂×C₁₃×#542	C₂	semidirect
26. C₂²×Q₈×D₁₃	C₂²	semidirect
28. C₂²×D₄×D₁₃	C₂²	semidirect
30. C₂³×C₄×D₁₃	C₂²	semidirect
31. C₁₃×#542	C₂²	semidirect
32. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
33. C₂×C₁₃×#126	C₂²	semidirect
34. C₂×C₁₃×#124	C₂²	semidirect
35. C₂×C₁₃×#124	C₂²	semidirect
36. C₂×C₁₃×#123	C₂²	semidirect
37. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
38. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
40. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
41. C₂×C₄×D₄×C₁₃	C₂²	semidirect
42. C₂×C₁₃×#117	C₂²	semidirect
44. C₂×#88201	C₂²	semidirect
45. C₂×#88201	C₂²	semidirect
46. C₂×#88200	C₂²	semidirect
47. C₂×#88200	C₂²	semidirect
48. C₂×Q₈×Dic₁₃	C₂²	semidirect
51. C₂×#88192	C₂²	semidirect
53. C₂×#88191	C₂²	semidirect
54. C₂×D₄×Dic₁₃	C₂²	semidirect
57. C₂×#88184	C₂²	semidirect
58. C₂²×#6103	C₂²	semidirect
59. C₂×#88180	C₂²	semidirect
60. C₂×#88178	C₂²	semidirect
61. #11719439	C₂²	semidirect
62. #11719437	C₂²	semidirect
63. #11719415	C₂²	semidirect
64. #11719409	C₂²	semidirect
65. #11719388	C₂²	semidirect
66. #11719386	C₂²	semidirect
67. #11719382	C₂²	semidirect
68. #11719381	C₂²	semidirect
69. #11719371	C₂²	semidirect
70. #11719363	C₂²	semidirect
71. #11719349	C₂²	semidirect
72. #11719348	C₂²	semidirect
73. #11719333	C₂²	semidirect
74. #11719332	C₂²	semidirect
75. #11719312	C₂²	semidirect
76. #11719311	C₂²	semidirect
77. #11719289	C₂²	semidirect
78. #11719281	C₂²	semidirect
79. #11719268	C₂²	semidirect
80. #11719259	C₂²	semidirect
81. #11719239	C₂²	semidirect
82. #11719229	C₂²	semidirect
83. C₂×#88152	C₂²	semidirect
84. C₂×#88152	C₂²	semidirect
85. C₂×#88152	C₂²	semidirect
86. C₂×#88152	C₂²	semidirect
87. C₂×#88152	C₂²	semidirect
88. C₂×#88151	C₂²	semidirect
89. C₂×#88151	C₂²	semidirect
90. C₂×#88151	C₂²	semidirect
91. C₂×#88151	C₂²	semidirect
92. C₂×#88151	C₂²	semidirect
93. C₂×#88150	C₂²	semidirect
97. C₂×#88149	C₂²	semidirect
98. C₂×#88149	C₂²	semidirect
99. C₂×#88149	C₂²	semidirect
100. C₂×#88148	C₂²	semidirect
101. C₂×#88148	C₂²	semidirect
102. C₂×#88147	C₂²	semidirect
103. C₂×#88146	C₂²	semidirect
104. C₂×#88146	C₂²	semidirect
105. C₂×#88146	C₂²	semidirect
106. C₂×#88146	C₂²	semidirect
107. C₂×#88146	C₂²	semidirect
108. C₂×#88142	C₂²	semidirect
110. C₂×#88140	C₂²	semidirect
111. C₂×#88140	C₂²	semidirect
113. C₂×#88139	C₂²	semidirect
114. C₂×#88139	C₂²	semidirect
115. C₂×#88139	C₂²	semidirect
116. C₂×#88139	C₂²	semidirect
117. C₂×#88139	C₂²	semidirect
119. C₂×#88138	C₂²	semidirect
120. C₂×#88137	C₂²	semidirect
121. C₂×#88137	C₂²	semidirect
122. C₂×#88137	C₂²	semidirect
123. C₂×#88137	C₂²	semidirect
127. C₂×#88136	C₂²	semidirect
128. C₂×#88136	C₂²	semidirect
129. C₂×#88136	C₂²	semidirect
130. C₂×#88135	C₂²	semidirect
131. C₂×#88135	C₂²	semidirect
132. C₂×#88135	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
134. C₂×#88132	C₂²	semidirect
136. C₂×#88129	C₂²	semidirect
137. C₂×#88129	C₂²	semidirect
140. C₂×C₄×D₅₂	C₂²	semidirect
141. C₂×C₄×D₅₂	C₂²	semidirect
142. C₂×C₄×D₅₂	C₂²	semidirect
143. C₂×C₄×D₅₂	C₂²	semidirect
144. C₂×#88123	C₂²	semidirect
145. C₂×C₄×Dic₂₆	C₂²	semidirect
146. C₂×C₄×Dic₂₆	C₂²	semidirect
167. C₂×Q₈×D₁₃	C₂³	semidirect
171. C₂×D₄×D₁₃	C₂³	semidirect
193. C₂²×C₄×D₁₃	C₂³	semidirect
198. C₁₃×C₄⋊Q₈	C₂³	semidirect
199. C₁₃×#126	C₂³	semidirect
200. C₁₃×#124	C₂³	semidirect
201. C₁₃×#124	C₂³	semidirect
202. C₁₃×#123	C₂³	semidirect
203. C₁₃×C₂²⋊Q₈	C₂³	semidirect
204. C₁₃×C₂²⋊Q₈	C₂³	semidirect
206. C₄×Q₈×C₁₃	C₂³	semidirect
207. C₄×D₄×C₁₃	C₂³	semidirect
208. C₁₃×#117	C₂³	semidirect
230. #88201	C₂³	semidirect
231. #88201	C₂³	semidirect
232. #88200	C₂³	semidirect
233. #88200	C₂³	semidirect
234. Q₈×Dic₁₃	C₂³	semidirect
237. #88192	C₂³	semidirect
239. #88191	C₂³	semidirect
240. D₄×Dic₁₃	C₂³	semidirect
243. #88184	C₂³	semidirect
266. C₂×#6103	C₂³	semidirect
267. #88180	C₂³	semidirect
277. #88178	C₂³	semidirect
287. #88152	C₂³	semidirect
288. #88152	C₂³	semidirect
289. #88152	C₂³	semidirect
290. #88152	C₂³	semidirect
291. #88152	C₂³	semidirect
292. #88151	C₂³	semidirect
293. #88151	C₂³	semidirect
294. #88151	C₂³	semidirect
295. #88151	C₂³	semidirect
296. #88151	C₂³	semidirect
297. #88150	C₂³	semidirect
301. #88149	C₂³	semidirect
302. #88149	C₂³	semidirect
303. #88149	C₂³	semidirect
304. #88148	C₂³	semidirect
305. #88148	C₂³	semidirect
306. #88147	C₂³	semidirect
307. #88146	C₂³	semidirect
308. #88146	C₂³	semidirect
309. #88146	C₂³	semidirect
310. #88146	C₂³	semidirect
311. #88146	C₂³	semidirect
312. #88142	C₂³	semidirect
314. #88140	C₂³	semidirect
315. #88140	C₂³	semidirect
317. #88139	C₂³	semidirect
318. #88139	C₂³	semidirect
319. #88139	C₂³	semidirect
320. #88139	C₂³	semidirect
321. #88139	C₂³	semidirect
323. #88138	C₂³	semidirect
324. #88137	C₂³	semidirect
325. #88137	C₂³	semidirect
326. #88137	C₂³	semidirect
327. #88137	C₂³	semidirect
331. #88136	C₂³	semidirect
332. #88136	C₂³	semidirect
333. #88136	C₂³	semidirect
334. #88135	C₂³	semidirect
335. #88135	C₂³	semidirect
336. #88135	C₂³	semidirect
337. C₂²⋊C₄×D₁₃	C₂³	semidirect
338. #88132	C₂³	semidirect
340. #88129	C₂³	semidirect
341. #88129	C₂³	semidirect
344. C₄×D₅₂	C₂³	semidirect
345. C₄×D₅₂	C₂³	semidirect
346. C₄×D₅₂	C₂³	semidirect
347. C₄×D₅₂	C₂³	semidirect
348. #88123	C₂³	semidirect
349. C₄×Dic₂₆	C₂³	semidirect
350. C₄×Dic₂₆	C₂³	semidirect
539. C₂×#542	D₁₃	semidirect
674. #542	C₂×D₁₃	semidirect
681. C₂×C₄⋊Q₈	C₂×D₁₃	semidirect
688. C₂×#126	C₂×D₁₃	semidirect
701. C₂×#124	C₂×D₁₃	semidirect
702. C₂×#124	C₂×D₁₃	semidirect
715. C₂×#123	C₂×D₁₃	semidirect
726. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
727. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
753. C₂×C₄×Q₈	C₂×D₁₃	semidirect
765. C₂×C₄×D₄	C₂×D₁₃	semidirect
772. C₂×#117	C₂×D₁₃	semidirect
878. C₄⋊Q₈	C₂²×D₁₃	semidirect
885. #126	C₂²×D₁₃	semidirect
898. #124	C₂²×D₁₃	semidirect
899. #124	C₂²×D₁₃	semidirect
909. #123	C₂²×D₁₃	semidirect
920. C₂²⋊Q₈	C₂²×D₁₃	semidirect
921. C₂²⋊Q₈	C₂²×D₁₃	semidirect
947. C₄×Q₈	C₂²×D₁₃	semidirect
959. C₄×D₄	C₂²×D₁₃	semidirect
966. #117	C₂²×D₁₃	semidirect
1031. C₂×C₁₃	#3540	semidirect
1211. C₁₃	C₂×#3540	semidirect
1375. C₂	#13129108	direct (N × H)

Maximal subgroups

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

subgroup	index
#13129108	2
C₂×#11719388	2
C₂×#11719371	2
C₂×#11719386	2
C₂×#11719437	2
C₂×#11719289	2
C₂×#11719439	2
C₂×#11719268	2
C₂×#11719363	2
C₂×#11719281	2
C₂×#11719382	2
C₂×#11719259	2
C₂×#11719381	2
C₂×#11719348	2
C₂×#11719239	2
C₂×#11719415	2
C₂×#11719349	2
C₂×#11719409	2
C₂×#11719333	2
C₂×#11719312	2
C₂×#11719332	2
C₂×#11719229	2
C₂×#11719311	2
C₂×C₁₃×#542	2
C₂×#3540	13

Subgroups — C2×#13129108 #16770217

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13129108 #16770217