Subgroups — C₂×#13129424 #16770411

Order 3328.

7354 conjugacy classes of subgroups.

The subgroup lattice has 1348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129424	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719352	C₂	1	2	yes	maximal, complemented
3	C₂×#11719325	C₂	1	2	yes	maximal, complemented
4	C₂×#11719290	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719289	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11719414	C₂	1	2	yes	maximal, complemented
7	C₂×#11719410	C₂	1	2	yes	maximal, complemented
8	C₂×#11719258	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#11719257	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11719257	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719256	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719255	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719255	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719223	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11719240	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11719368	C₂	1	2	yes	maximal, complemented
17	C₂×#11719397	C₂	1	2	yes	maximal, complemented
18	C₂×#11719362	C₂	1	2	yes	maximal, complemented
19	C₂×#11719383	C₂	1	2	yes	maximal, complemented
20	C₂×#11719231	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#11719230	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11719182	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#11719184	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#6127	C₂²	1	1	yes	characteristic
26	C₂²×#6127	C₂²	1	1	yes	characteristic
27	C₂²×#6127	C₂²	1	1	yes	characteristic
28	C₂²×#6127	C₂²	1	1	yes	characteristic, complemented
29	C₂³×D₅₂	C₂²	1	1	yes	characteristic
30	C₂³×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#529	C₂²	1	16	yes	complemented
32	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, 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
42	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
45	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
46	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88201	C₂²	1	2	yes	complemented
48	C₂×#88200	C₂²	1	2	yes	complemented
49	C₂×#88194	C₂²	1	2	yes	complemented
50	C₂×#88193	C₂²	1	2	yes	—
51	C₂×#88193	C₂²	1	2	yes	complemented
52	C₂×#88192	C₂²	1	2	yes	—
53	C₂×#88191	C₂²	1	2	yes	—
54	C₂×#88191	C₂²	1	2	yes	—
55	C₂×#88184	C₂²	1	1	yes	characteristic
56	C₂×#88184	C₂²	1	1	yes	characteristic
57	C₂×#88184	C₂²	1	2	yes	complemented
58	C₂×#88184	C₂²	1	2	yes	complemented
59	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
60	C₂×#88183	C₂²	1	2	yes	complemented
61	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
62	C₂×#88178	C₂²	1	1	yes	characteristic
63	C₂×#88178	C₂²	1	1	yes	characteristic
64	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
65	#11719414	C₂²	1	32	yes	complemented
66	#11719410	C₂²	1	32	yes	complemented
67	#11719397	C₂²	1	32	yes	complemented
68	#11719383	C₂²	1	32	yes	complemented
69	#11719368	C₂²	1	32	yes	complemented
70	#11719362	C₂²	1	32	yes	complemented
71	#11719352	C₂²	1	32	yes	complemented
72	#11719325	C₂²	1	32	yes	complemented
73	#11719290	C₂²	1	16	yes	complemented
74	#11719289	C₂²	1	16	yes	complemented
75	#11719258	C₂²	1	16	yes	complemented
76	#11719257	C₂²	1	16	yes	complemented
77	#11719257	C₂²	1	16	yes	complemented
78	#11719256	C₂²	1	16	yes	complemented
79	#11719255	C₂²	1	16	yes	complemented
80	#11719255	C₂²	1	16	yes	complemented
81	#11719240	C₂²	1	16	yes	complemented
82	#11719231	C₂²	1	16	yes	complemented
83	#11719230	C₂²	1	16	yes	complemented
84	#11719223	C₂²	1	16	yes	complemented
85	C₂×#88152	C₂²	1	2	yes	complemented
86	C₂×#88152	C₂²	1	2	yes	complemented
87	C₂×#88151	C₂²	1	2	yes	complemented
88	C₂×#88151	C₂²	1	2	yes	complemented
89	C₂×#88150	C₂²	1	2	yes	complemented
90	C₂×#88150	C₂²	1	2	yes	complemented
91	C₂×#88149	C₂²	1	2	yes	—
92	C₂×#88149	C₂²	1	2	yes	—
93	C₂×#88148	C₂²	1	2	yes	—
94	C₂×#88148	C₂²	1	2	yes	—
95	C₂×#88148	C₂²	1	2	yes	complemented
96	C₂×#88148	C₂²	1	2	yes	complemented
97	C₂×#88148	C₂²	1	2	yes	complemented
98	C₂×#88148	C₂²	1	2	yes	complemented
99	C₂×#88147	C₂²	1	2	yes	complemented
100	C₂×#88147	C₂²	1	2	yes	complemented
101	C₂×#88146	C₂²	1	2	yes	complemented
102	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
103	C₂×#88143	C₂²	1	2	yes	complemented
104	C₂×#88143	C₂²	1	2	yes	complemented
105	C₂×#88140	C₂²	1	2	yes	complemented
106	C₂×#88140	C₂²	1	2	yes	complemented
107	C₂×#88139	C₂²	1	2	yes	—
108	C₂×#88139	C₂²	1	2	yes	complemented
109	C₂×#88138	C₂²	1	2	yes	—
110	C₂×#88138	C₂²	1	2	yes	—
111	C₂×#88138	C₂²	1	2	yes	complemented
112	C₂×#88138	C₂²	1	2	yes	complemented
113	C₂×#88138	C₂²	1	2	yes	complemented
114	C₂×#88138	C₂²	1	2	yes	complemented
115	C₂×#88137	C₂²	1	2	yes	—
116	C₂×#88137	C₂²	1	2	yes	complemented
117	C₂×#88136	C₂²	1	2	yes	—
118	C₂×#88136	C₂²	1	2	yes	—
119	C₂×#88135	C₂²	1	2	yes	complemented
120	C₂×#88135	C₂²	1	2	yes	complemented
121	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
122	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
123	C₂×#88133	C₂²	1	2	yes	—
124	C₂×#88133	C₂²	1	2	yes	—
125	#11719184	C₂²	1	16	yes	complemented
126	C₂×#88130	C₂²	1	2	yes	complemented
127	#11719182	C₂²	1	16	yes	complemented
128	C₂×#88129	C₂²	1	1	yes	characteristic
129	C₂×#88129	C₂²	1	1	yes	characteristic
130	C₂×#88129	C₂²	1	1	yes	characteristic
131	C₂×#88129	C₂²	1	1	yes	characteristic
132	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
133	C₂×#88128	C₂²	1	1	yes	characteristic
134	C₂×#88128	C₂²	1	1	yes	characteristic
135	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
136	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
137	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
138	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
139	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
140	C₂×#88126	C₂²	1	2	yes	complemented
141	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
142	C₂×#88123	C₂²	1	1	yes	characteristic, complemented
143	C₂×#88123	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₁₃	C₂³	1	2	yes	—
148	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
149	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
150	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
151	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
153	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
155	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
156	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
157	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
161	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
162	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
163	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
164	C₂³×Dic₁₃	C₂³	1	2	yes	—
165	C₂×#6127	—	4	4	no	—
166	C₂×#6127	—	4	4	no	—
167	C₂×#6127	—	4	4	no	—
168	C₂×#6127	—	4	4	no	—
169	C₂×#6127	C₂³	1	8	yes	—
170	C₂×#6127	C₂³	1	8	yes	—
171	C₂×#6127	C₂³	1	8	yes	—
172	C₂×#6127	C₂³	1	8	yes	complemented
173	C₂²×D₅₂	—	4	4	no	—
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	2	yes	—
178	C₂²×D₅₂	C₂³	1	2	yes	—
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	8	yes	—
183	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
184	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
185	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
186	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
187	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
188	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
189	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
190	C₂²×Dic₂₆	—	4	4	no	—
191	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
192	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
193	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
194	C₂²×Dic₂₆	C₂³	1	2	yes	—
195	C₂²×Dic₂₆	C₂³	1	8	yes	complemented
196	C₁₃×#126	C₂³	1	8	yes	—
197	C₁₃×#126	C₂³	1	8	yes	complemented
198	C₁₃×#125	C₂³	1	8	yes	complemented
199	C₁₃×#124	C₂³	1	8	yes	—
200	C₁₃×#123	C₂³	1	8	yes	—
201	C₁₃×#123	C₂³	1	8	yes	complemented
202	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
203	C₁₃×#121	C₂³	1	8	yes	—
204	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
205	C₄×D₄×C₁₃	C₂³	1	8	yes	—
206	C₄×D₄×C₁₃	C₂³	1	8	yes	—
207	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
208	C₁₃×#117	C₂³	1	8	yes	—
209	C₁₃×#117	C₂³	1	8	yes	complemented
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	1	yes	characteristic
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	1	yes	characteristic
216	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₄²×C₁₃	C₂³	1	8	yes	complemented
237	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
238	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
239	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
240	#88201	C₂³	1	16	yes	complemented
241	#88200	C₂³	1	16	yes	complemented
242	#88194	C₂³	1	16	yes	complemented
243	#88193	C₂³	1	16	yes	—
244	#88193	C₂³	1	16	yes	complemented
245	#88192	C₂³	1	16	yes	—
246	#88191	C₂³	1	16	yes	—
247	#88191	C₂³	1	16	yes	—
248	#88184	C₂³	1	8	yes	—
249	#88184	C₂³	1	8	yes	—
250	#88184	C₂³	1	16	yes	complemented
251	#88184	C₂³	1	16	yes	complemented
252	#88184	C₂³	1	8	yes	complemented
253	#88183	C₂³	1	16	yes	complemented
254	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
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	2	yes	—
267	C₂×#6103	C₂³	1	2	yes	—
268	C₂×#6103	C₂³	1	2	yes	—
269	C₂×#6103	C₂³	1	2	yes	—
270	C₂×#6103	C₂³	1	2	yes	—
271	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
274	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
275	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
276	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
277	#88178	C₂³	1	8	yes	—
278	#88178	C₂³	1	8	yes	—
279	#88178	C₂³	1	8	yes	complemented
280	C₂×#6101	C₂³	1	2	yes	—
281	C₂×#6101	C₂³	1	2	yes	—
282	C₂×#6101	C₂³	1	2	yes	—
283	C₂×#6101	C₂³	1	2	yes	—
284	C₂×#6101	C₂³	1	2	yes	—
285	C₂×#6101	C₂³	1	2	yes	—
286	C₂×#6101	C₂³	1	2	yes	—
287	C₂×#6101	C₂³	1	2	yes	—
288	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
289	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
290	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
291	#88152	C₂³	1	16	yes	complemented
292	#88152	C₂³	1	16	yes	complemented
293	#88151	C₂³	1	16	yes	complemented
294	#88151	C₂³	1	16	yes	complemented
295	#88150	C₂³	1	16	yes	complemented
296	#88150	C₂³	1	16	yes	complemented
297	#88149	C₂³	1	16	yes	—
298	#88149	C₂³	1	16	yes	—
299	#88148	C₂³	1	16	yes	—
300	#88148	C₂³	1	16	yes	—
301	#88148	C₂³	1	16	yes	complemented
302	#88148	C₂³	1	16	yes	complemented
303	#88148	C₂³	1	16	yes	complemented
304	#88148	C₂³	1	16	yes	complemented
305	#88147	C₂³	1	16	yes	complemented
306	#88147	C₂³	1	16	yes	complemented
307	#88146	C₂³	1	16	yes	complemented
308	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
309	#88143	C₂³	1	16	yes	complemented
310	#88143	C₂³	1	16	yes	complemented
311	#88140	C₂³	1	16	yes	complemented
312	#88140	C₂³	1	16	yes	complemented
313	#88139	C₂³	1	16	yes	—
314	#88139	C₂³	1	16	yes	complemented
315	#88138	C₂³	1	16	yes	—
316	#88138	C₂³	1	16	yes	—
317	#88138	C₂³	1	16	yes	complemented
318	#88138	C₂³	1	16	yes	complemented
319	#88138	C₂³	1	16	yes	complemented
320	#88138	C₂³	1	16	yes	complemented
321	#88137	C₂³	1	16	yes	—
322	#88137	C₂³	1	16	yes	complemented
323	#88136	C₂³	1	16	yes	—
324	#88136	C₂³	1	16	yes	—
325	#88135	C₂³	1	16	yes	complemented
326	#88135	C₂³	1	16	yes	complemented
327	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
328	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
329	#88133	C₂³	1	16	yes	—
330	#88133	C₂³	1	16	yes	—
331	#88130	C₂³	1	16	yes	complemented
332	#88129	C₂³	1	8	yes	—
333	#88129	C₂³	1	8	yes	—
334	#88129	C₂³	1	8	yes	—
335	#88129	C₂³	1	8	yes	—
336	#88129	C₂³	1	8	yes	complemented
337	#88128	C₂³	1	8	yes	—
338	#88128	C₂³	1	8	yes	—
339	C₄×D₅₂	C₂³	1	8	yes	—
340	C₄×D₅₂	C₂³	1	8	yes	—
341	C₄×D₅₂	C₂³	1	16	yes	complemented
342	C₄×D₅₂	C₂³	1	16	yes	complemented
343	C₄×D₅₂	C₂³	1	8	yes	complemented
344	#88126	C₂³	1	16	yes	complemented
345	#88124	C₂³	1	8	yes	complemented
346	#88123	C₂³	1	8	yes	complemented
347	#88123	C₂³	1	8	yes	complemented
348	C₄×Dic₂₆	C₂³	1	8	yes	complemented
349	C₄×Dic₂₆	C₂³	1	8	yes	complemented
350	C₄×Dic₂₆	C₂³	1	8	yes	complemented
351	C₂×#3562	—	13	1	no	maximal, Sylow
352	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂³×D₁₃	—	4	4	no	—
356	C₂³×D₁₃	—	4	4	no	—
357	C₂³×D₁₃	—	4	4	no	—
358	C₂³×D₁₃	C₂⁴	1	2	yes	—
359	C₂³×D₁₃	C₂⁴	1	2	yes	—
360	C₂³×D₁₃	C₂⁴	1	2	yes	—
361	C₂³×D₁₃	C₂⁴	1	8	yes	—
362	C₂×Q₈×C₁₃	—	4	2	no	—
363	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
364	C₂×D₄×C₁₃	—	4	2	no	—
365	C₂×D₄×C₁₃	—	4	2	no	—
366	C₂×D₄×C₁₃	—	4	2	no	—
367	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
368	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
369	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
370	C₂²×C₄×C₁₃	—	2	4	no	—
371	C₂²×C₄×C₁₃	—	2	4	no	—
372	C₂²×C₄×C₁₃	—	2	4	no	—
373	C₂²×C₄×C₁₃	—	4	2	no	—
374	C₂²×C₄×C₁₃	—	4	2	no	—
375	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
384	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
385	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
389	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
390	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	4	4	no	—
396	C₂×C₂²⋊D₁₃	—	4	4	no	—
397	C₂×C₂²⋊D₁₃	—	4	4	no	—
398	C₂×C₂²⋊D₁₃	—	4	4	no	—
399	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
400	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
401	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
402	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
403	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
404	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
405	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
406	C₂²×Dic₁₃	—	4	4	no	—
407	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
408	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
409	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
410	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
411	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
412	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
413	#6127	—	4	16	no	—
414	#6127	—	4	16	no	—
415	#6127	—	4	16	no	—
416	#6127	—	4	16	no	—
417	C₂×D₅₂	—	2	4	no	—
418	C₂×D₅₂	—	2	4	no	—
419	C₂×D₅₂	—	2	4	no	—
420	C₂×D₅₂	—	4	16	no	—
421	C₂×D₅₂	—	4	4	no	—
422	C₂×D₅₂	—	4	4	no	—
423	C₂×D₅₂	—	4	4	no	—
424	C₂×D₅₂	—	4	4	no	—
425	C₂×D₅₂	—	4	4	no	—
426	C₂×D₅₂	C₂⁴	1	4	yes	—
427	C₂×D₅₂	C₂⁴	1	4	yes	—
428	C₂×D₅₂	C₂⁴	1	4	yes	—
429	C₂×D₅₂	C₂⁴	1	8	yes	—
430	C₂×D₅₂	C₂⁴	1	8	yes	—
431	C₂×D₅₂	C₂⁴	1	8	yes	—
432	C₂×D₅₂	C₂⁴	1	8	yes	—
433	C₂×D₅₂	C₂⁴	1	8	yes	—
434	C₂×C₄×D₁₃	—	4	4	no	—
435	C₂×C₄×D₁₃	—	4	4	no	—
436	C₂×C₄×D₁₃	—	4	4	no	—
437	C₂×C₄×D₁₃	—	4	4	no	—
438	C₂×C₄×D₁₃	—	4	4	no	—
439	C₂×C₄×D₁₃	—	4	4	no	—
440	C₂×C₄×D₁₃	—	4	4	no	—
441	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
442	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
443	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
444	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
445	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
446	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
447	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
448	C₂×Dic₂₆	—	2	4	no	—
449	C₂×Dic₂₆	—	2	4	no	—
450	C₂×Dic₂₆	—	2	4	no	—
451	C₂×Dic₂₆	—	4	16	no	—
452	C₂×Dic₂₆	—	4	4	no	—
453	C₂×Dic₂₆	C₂⁴	1	4	yes	—
454	C₂×Dic₂₆	C₂⁴	1	4	yes	—
455	C₂×Dic₂₆	C₂⁴	1	4	yes	—
456	C₂×Dic₂₆	C₂⁴	1	8	yes	—
457	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
458	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
459	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
460	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
461	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
462	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
463	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
464	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
465	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
466	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
467	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
468	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
469	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
470	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
471	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
472	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
473	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
474	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
475	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
476	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
477	C₄²×C₁₃	C₂⁴	1	4	yes	—
478	C₄²×C₁₃	C₂⁴	1	4	yes	—
479	C₄²×C₁₃	C₂⁴	1	4	yes	—
480	C₄²×C₁₃	C₂⁴	1	4	yes	—
481	C₄²×C₁₃	C₂⁴	1	4	yes	—
482	C₄²×C₁₃	C₂⁴	1	4	yes	—
483	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
484	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
485	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
486	#6103	C₂⁴	1	8	yes	—
487	#6103	C₂⁴	1	8	yes	—
488	#6103	C₂⁴	1	8	yes	—
489	#6103	C₂⁴	1	8	yes	—
490	#6103	C₂⁴	1	8	yes	—
491	#6103	C₂⁴	1	8	yes	—
492	#6103	C₂⁴	1	8	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	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
503	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
504	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
505	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
506	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
507	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
508	#6101	C₂⁴	1	8	yes	—
509	#6101	C₂⁴	1	8	yes	—
510	#6101	C₂⁴	1	8	yes	—
511	#6101	C₂⁴	1	8	yes	—
512	#6101	C₂⁴	1	8	yes	—
513	#6101	C₂⁴	1	8	yes	—
514	#6101	C₂⁴	1	8	yes	—
515	#6101	C₂⁴	1	8	yes	—
516	C₄×Dic₁₃	C₂⁴	1	8	yes	—
517	C₄×Dic₁₃	C₂⁴	1	8	yes	—
518	C₄×Dic₁₃	C₂⁴	1	8	yes	—
519	#3562	—	13	32	no	—
520	C₂×#562	—	13	2	no	—
521	C₂×#560	—	13	2	no	—
522	C₂×#559	—	13	1	no	—
523	C₂×#556	—	13	1	no	—
524	C₂×#553	—	13	2	no	—
525	C₂×#551	—	13	2	no	—
526	C₂×#550	—	13	1	no	—
527	C₂×#548	—	13	1	no	—
528	C₂×#548	—	13	1	no	—
529	C₂×#547	—	13	1	no	—
530	C₂×#546	—	13	1	no	—
531	C₂×#546	—	13	1	no	—
532	C₂×#541	—	13	1	no	—
533	C₂×#540	—	13	2	no	—
534	C₂×#540	—	13	1	no	—
535	C₂×#539	—	13	2	no	—
536	C₂×#538	—	13	2	no	—
537	C₂×#538	—	13	2	no	—
538	C₂×#536	—	13	1	no	—
539	C₂×#535	—	13	1	no	—
540	C₂×#532	—	13	1	no	—
541	C₂×#529	—	13	1	no	—
542	C₂×#529	D₁₃	1	1	yes	characteristic, complemented
543	C₂³×C₁₃	—	2	2	no	—
544	C₂³×C₁₃	—	2	2	no	—
545	C₂³×C₁₃	—	2	2	no	—
546	C₂³×C₁₃	—	2	2	no	—
547	C₂³×C₁₃	—	2	2	no	—
548	C₂³×C₁₃	—	2	2	no	—
549	C₂³×C₁₃	—	2	2	no	—
550	C₂³×C₁₃	—	2	2	no	—
551	C₂³×C₁₃	—	2	2	no	—
552	C₂³×C₁₃	C₂⁵	1	2	yes	—
553	C₂³×C₁₃	C₂⁵	1	2	yes	—
554	C₂³×C₁₃	C₂⁵	1	2	yes	—
555	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
556	C₂²×D₁₃	—	2	4	no	—
557	C₂²×D₁₃	—	2	4	no	—
558	C₂²×D₁₃	—	2	4	no	—
559	C₂²×D₁₃	—	2	4	no	—
560	C₂²×D₁₃	—	2	4	no	—
561	C₂²×D₁₃	—	2	4	no	—
562	C₂²×D₁₃	—	2	4	no	—
563	C₂²×D₁₃	—	2	4	no	—
564	C₂²×D₁₃	—	2	4	no	—
565	C₂²×D₁₃	—	4	8	no	—
566	C₂²×D₁₃	—	4	8	no	—
567	C₂²×D₁₃	—	4	8	no	—
568	C₂²×D₁₃	—	8	16	no	—
569	C₂²×D₁₃	C₂⁵	1	4	yes	—
570	C₂²×D₁₃	C₂⁵	1	4	yes	—
571	C₂²×D₁₃	C₂⁵	1	4	yes	—
572	Q₈×C₁₃	—	4	4	no	—
573	D₄×C₁₃	—	4	4	no	—
574	D₄×C₁₃	—	4	4	no	—
575	D₄×C₁₃	—	4	4	no	—
576	C₂×C₄×C₁₃	—	2	2	no	—
577	C₂×C₄×C₁₃	—	2	2	no	—
578	C₂×C₄×C₁₃	—	2	2	no	—
579	C₂×C₄×C₁₃	—	2	2	no	—
580	C₂×C₄×C₁₃	—	2	2	no	—
581	C₂×C₄×C₁₃	—	2	2	no	—
582	C₂×C₄×C₁₃	—	2	2	no	—
583	C₂×C₄×C₁₃	—	2	2	no	—
584	C₂×C₄×C₁₃	—	2	2	no	—
585	C₂×C₄×C₁₃	—	2	2	no	—
586	C₂×C₄×C₁₃	—	2	2	no	—
587	C₂×C₄×C₁₃	—	2	8	no	—
588	C₂×C₄×C₁₃	—	2	8	no	—
589	C₂×C₄×C₁₃	—	2	8	no	—
590	C₂×C₄×C₁₃	—	4	4	no	—
591	C₂×C₄×C₁₃	—	4	4	no	—
592	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
593	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
594	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
595	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
596	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
597	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
598	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
599	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
600	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
601	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
602	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
603	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
604	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
605	C₂²⋊D₁₃	—	4	8	no	—
606	C₂²⋊D₁₃	—	4	8	no	—
607	C₂²⋊D₁₃	—	4	8	no	—
608	C₂²⋊D₁₃	—	4	8	no	—
609	C₂²⋊D₁₃	—	4	8	no	—
610	C₂²⋊D₁₃	—	4	8	no	—
611	C₂²⋊D₁₃	—	4	8	no	—
612	C₂×Dic₁₃	—	2	4	no	—
613	C₂×Dic₁₃	—	2	4	no	—
614	C₂×Dic₁₃	—	2	4	no	—
615	C₂×Dic₁₃	—	2	4	no	—
616	C₂×Dic₁₃	—	2	4	no	—
617	C₂×Dic₁₃	—	4	8	no	—
618	C₂×Dic₁₃	C₂⁵	1	4	yes	—
619	C₂×Dic₁₃	C₂⁵	1	4	yes	—
620	C₂×Dic₁₃	C₂⁵	1	4	yes	—
621	C₂×Dic₁₃	C₂⁵	1	4	yes	—
622	C₂×Dic₁₃	C₂⁵	1	4	yes	—
623	D₅₂	—	2	8	no	—
624	D₅₂	—	2	8	no	—
625	D₅₂	—	2	8	no	—
626	D₅₂	—	4	8	no	—
627	D₅₂	—	4	8	no	—
628	D₅₂	—	4	8	no	—
629	D₅₂	—	4	8	no	—
630	D₅₂	—	4	8	no	—
631	C₄×D₁₃	—	4	8	no	—
632	C₄×D₁₃	—	4	8	no	—
633	C₄×D₁₃	—	4	8	no	—
634	C₄×D₁₃	—	4	8	no	—
635	C₄×D₁₃	—	4	8	no	—
636	C₄×D₁₃	—	4	8	no	—
637	C₄×D₁₃	—	4	8	no	—
638	Dic₂₆	—	2	8	no	—
639	Dic₂₆	—	2	8	no	—
640	Dic₂₆	—	2	8	no	—
641	Dic₂₆	—	4	8	no	—
642	C₂²×#41	—	13	1	no	—
643	C₂²×#41	—	13	1	no	—
644	C₂²×#41	—	13	1	no	—
645	C₂²×#41	—	13	1	no	—
646	C₂³×Q₈	—	13	1	no	—
647	C₂³×D₄	—	13	1	no	—
648	#562	—	13	32	no	—
649	#560	—	13	32	no	—
650	#559	—	13	16	no	—
651	#556	—	13	16	no	—
652	#553	—	13	32	no	—
653	#551	—	13	32	no	—
654	#550	—	13	16	no	—
655	#548	—	13	16	no	—
656	#548	—	13	16	no	—
657	#547	—	13	16	no	—
658	#546	—	13	16	no	—
659	#546	—	13	16	no	—
660	#541	—	13	16	no	—
661	#540	—	13	32	no	—
662	#540	—	13	16	no	—
663	#539	—	13	32	no	—
664	#538	—	13	32	no	—
665	#538	—	13	32	no	—
666	#536	—	13	16	no	—
667	#535	—	13	16	no	—
668	#532	—	13	16	no	—
669	C₂×C₄⋊Q₈	—	13	1	no	—
670	C₂×C₄⋊Q₈	—	13	1	no	—
671	C₂×#127	—	13	2	no	—
672	C₂×#127	—	13	1	no	—
673	C₂×#127	—	13	1	no	—
674	#529	—	13	16	no	—
675	#529	C₂×D₁₃	1	16	yes	complemented
676	C₂×#126	—	13	2	no	—
677	C₂×#126	—	13	2	no	—
678	C₂×#126	—	13	2	no	—
679	C₂×#126	—	13	2	no	—
680	C₂×#126	—	13	2	no	—
681	C₂×#126	C₂×D₁₃	1	1	yes	characteristic
682	C₂×#126	C₂×D₁₃	1	1	yes	characteristic, complemented
683	C₂×#125	—	13	2	no	—
684	C₂×#125	—	13	2	no	—
685	C₂×#125	—	13	1	no	—
686	C₂×#125	C₂×D₁₃	1	1	yes	characteristic, complemented
687	C₂×#124	—	13	2	no	—
688	C₂×#124	—	13	2	no	—
689	C₂×#124	—	13	2	no	—
690	C₂×#124	—	13	1	no	—
691	C₂×#124	—	13	1	no	—
692	C₂×#124	—	13	1	no	—
693	C₂×#124	—	13	1	no	—
694	C₂×#124	—	13	1	no	—
695	C₂×#124	C₂×D₁₃	1	1	yes	characteristic
696	C₂×#123	—	13	2	no	—
697	C₂×#123	—	13	2	no	—
698	C₂×#123	—	13	2	no	—
699	C₂×#123	—	13	2	no	—
700	C₂×#123	—	13	2	no	—
701	C₂×#123	—	13	2	no	—
702	C₂×#123	—	13	2	no	—
703	C₂×#123	—	13	2	no	—
704	C₂×#123	—	13	2	no	—
705	C₂×#123	—	13	2	no	—
706	C₂×#123	—	13	2	no	—
707	C₂×#123	C₂×D₁₃	1	1	yes	characteristic
708	C₂×#123	C₂×D₁₃	1	1	yes	characteristic, complemented
709	C₂×C₂²⋊Q₈	—	13	2	no	—
710	C₂×C₂²⋊Q₈	—	13	1	no	—
711	C₂×C₂²⋊Q₈	—	13	1	no	—
712	C₂×C₂²⋊Q₈	—	13	1	no	—
713	C₂×C₂²⋊Q₈	—	13	2	no	—
714	C₂×C₂²⋊Q₈	—	13	2	no	—
715	C₂×C₂²⋊Q₈	—	13	2	no	—
716	C₂×C₂²⋊Q₈	—	13	2	no	—
717	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
718	C₂×#121	—	13	2	no	—
719	C₂×#121	—	13	2	no	—
720	C₂×#121	—	13	2	no	—
721	C₂×#121	—	13	1	no	—
722	C₂×#121	—	13	1	no	—
723	C₂×#121	—	13	2	no	—
724	C₂×#121	—	13	2	no	—
725	C₂×#121	—	13	1	no	—
726	C₂×#121	—	13	2	no	—
727	C₂×#121	—	13	2	no	—
728	C₂×#121	—	13	2	no	—
729	C₂×#121	—	13	2	no	—
730	C₂×#121	—	13	2	no	—
731	C₂×#121	—	13	2	no	—
732	C₂×#121	—	13	2	no	—
733	C₂×#121	—	13	2	no	—
734	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
735	C₂×#120	—	13	2	no	—
736	C₂×#120	—	13	2	no	—
737	C₂×#120	—	13	2	no	—
738	C₂×#120	—	13	2	no	—
739	C₂×C₄×Q₈	—	13	1	no	—
740	C₂×C₄×Q₈	—	13	1	no	—
741	C₂×C₄×Q₈	—	13	1	no	—
742	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
743	C₂×C₄×D₄	—	13	2	no	—
744	C₂×C₄×D₄	—	13	2	no	—
745	C₂×C₄×D₄	—	13	2	no	—
746	C₂×C₄×D₄	—	13	2	no	—
747	C₂×C₄×D₄	—	13	2	no	—
748	C₂×C₄×D₄	—	13	1	no	—
749	C₂×C₄×D₄	—	13	1	no	—
750	C₂×C₄×D₄	—	13	2	no	—
751	C₂×C₄×D₄	—	13	2	no	—
752	C₂×C₄×D₄	—	13	1	no	—
753	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
754	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
755	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
756	C₂×#117	—	13	2	no	—
757	C₂×#117	—	13	2	no	—
758	C₂×#117	C₂×D₁₃	1	1	yes	characteristic
759	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
760	C₂²×C₄⋊C₄	—	13	2	no	—
761	C₂²×C₂²⋊C₄	—	13	2	no	—
762	C₂²×C₂²⋊C₄	—	13	2	no	—
763	C₂²×C₄²	C₂×D₁₃	1	1	yes	characteristic, complemented
764	C₂²×C₁₃	—	2	2	no	—
765	C₂²×C₁₃	—	2	2	no	—
766	C₂²×C₁₃	—	2	2	no	—
767	C₂²×C₁₃	—	2	2	no	—
768	C₂²×C₁₃	—	2	2	no	—
769	C₂²×C₁₃	—	2	2	no	—
770	C₂²×C₁₃	—	2	2	no	—
771	C₂²×C₁₃	—	2	2	no	—
772	C₂²×C₁₃	—	2	2	no	—
773	C₂²×C₁₃	—	4	4	no	—
774	C₂²×C₁₃	—	4	4	no	—
775	C₂²×C₁₃	—	4	4	no	—
776	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
777	C₂²×C₁₃	#585	1	2	yes	—
778	C₂²×C₁₃	#585	1	2	yes	—
779	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
780	C₂×D₁₃	—	2	4	no	—
781	C₂×D₁₃	—	2	4	no	—
782	C₂×D₁₃	—	2	4	no	—
783	C₂×D₁₃	—	2	4	no	—
784	C₂×D₁₃	—	2	4	no	—
785	C₂×D₁₃	—	2	4	no	—
786	C₂×D₁₃	—	2	4	no	—
787	C₂×D₁₃	—	2	4	no	—
788	C₂×D₁₃	—	2	4	no	—
789	C₂×D₁₃	—	4	8	no	—
790	C₂×D₁₃	—	4	8	no	—
791	C₂×D₁₃	—	4	8	no	—
792	C₂×D₁₃	—	8	16	no	—
793	C₄×C₁₃	—	2	2	no	—
794	C₄×C₁₃	—	2	2	no	—
795	C₄×C₁₃	—	2	2	no	—
796	C₄×C₁₃	—	2	2	no	—
797	C₄×C₁₃	—	2	2	no	—
798	C₄×C₁₃	—	2	2	no	—
799	C₄×C₁₃	—	2	2	no	—
800	C₄×C₁₃	—	2	2	no	—
801	C₄×C₁₃	—	2	2	no	—
802	C₄×C₁₃	—	2	2	no	—
803	C₄×C₁₃	—	2	2	no	—
804	C₄×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
805	Dic₁₃	—	2	4	no	—
806	Dic₁₃	—	2	4	no	—
807	Dic₁₃	—	2	4	no	—
808	Dic₁₃	—	2	4	no	—
809	Dic₁₃	—	2	4	no	—
810	C₂⁵	—	13	2	no	—
811	C₂×#41	—	13	8	no	—
812	C₂×#41	—	13	8	no	—
813	C₂×#41	—	13	8	no	—
814	C₂×#41	—	13	8	no	—
815	C₂×#41	—	52	4	no	—
816	C₂×#41	—	52	4	no	—
817	C₂×#41	—	52	4	no	—
818	C₂×#41	—	52	4	no	—
819	C₂²×Q₈	—	13	1	no	—
820	C₂²×Q₈	—	13	1	no	—
821	C₂²×Q₈	—	13	1	no	—
822	C₂²×Q₈	—	13	2	no	—
823	C₂²×Q₈	—	13	8	no	—
824	C₂²×Q₈	—	52	4	no	—
825	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
826	C₂²×D₄	—	13	2	no	—
827	C₂²×D₄	—	13	2	no	—
828	C₂²×D₄	—	13	2	no	—
829	C₂²×D₄	—	13	2	no	—
830	C₂²×D₄	—	13	2	no	—
831	C₂²×D₄	—	13	2	no	—
832	C₂²×D₄	—	13	2	no	—
833	C₂²×D₄	—	13	1	no	—
834	C₂²×D₄	—	13	1	no	—
835	C₂²×D₄	—	13	1	no	—
836	C₂²×D₄	—	13	2	no	—
837	C₂²×D₄	—	13	2	no	—
838	C₂²×D₄	—	13	2	no	—
839	C₂²×D₄	—	13	2	no	—
840	C₂²×D₄	—	13	2	no	—
841	C₂²×D₄	—	13	8	no	—
842	C₂²×D₄	—	52	4	no	—
843	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
844	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
845	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
846	C₂³×C₄	—	13	2	no	—
847	C₂³×C₄	—	13	2	no	—
848	C₂³×C₄	—	13	2	no	—
849	C₂³×C₄	—	13	2	no	—
850	C₂³×C₄	—	13	2	no	—
851	C₂³×C₄	—	13	2	no	—
852	C₂³×C₄	—	13	2	no	—
853	C₂³×C₄	—	13	2	no	—
854	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
855	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
856	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
857	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
858	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
859	C₄⋊Q₈	—	13	8	no	—
860	C₄⋊Q₈	—	13	8	no	—
861	#127	—	13	16	no	—
862	#127	—	13	8	no	—
863	#127	—	13	8	no	—
864	#126	—	13	16	no	—
865	#126	—	13	16	no	—
866	#126	—	13	16	no	—
867	#126	—	13	16	no	—
868	#126	—	13	16	no	—
869	#126	C₂²×D₁₃	1	8	yes	—
870	#126	C₂²×D₁₃	1	8	yes	complemented
871	#125	—	13	16	no	—
872	#125	—	13	16	no	—
873	#125	—	13	8	no	—
874	#125	C₂²×D₁₃	1	8	yes	complemented
875	#124	—	13	16	no	—
876	#124	—	13	16	no	—
877	#124	—	13	16	no	—
878	#124	—	13	8	no	—
879	#124	—	13	8	no	—
880	#124	—	13	8	no	—
881	#124	—	13	8	no	—
882	#124	—	13	8	no	—
883	#124	C₂²×D₁₃	1	8	yes	—
884	#123	—	13	16	no	—
885	#123	—	13	16	no	—
886	#123	—	13	16	no	—
887	#123	—	13	16	no	—
888	#123	—	13	16	no	—
889	#123	—	13	16	no	—
890	#123	—	13	16	no	—
891	#123	—	13	16	no	—
892	#123	—	13	16	no	—
893	#123	—	13	16	no	—
894	#123	—	13	16	no	—
895	#123	C₂²×D₁₃	1	8	yes	—
896	#123	C₂²×D₁₃	1	8	yes	complemented
897	C₂²⋊Q₈	—	13	16	no	—
898	C₂²⋊Q₈	—	13	8	no	—
899	C₂²⋊Q₈	—	13	8	no	—
900	C₂²⋊Q₈	—	13	8	no	—
901	C₂²⋊Q₈	—	13	16	no	—
902	C₂²⋊Q₈	—	13	16	no	—
903	C₂²⋊Q₈	—	13	16	no	—
904	C₂²⋊Q₈	—	13	16	no	—
905	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
906	#121	—	13	16	no	—
907	#121	—	13	16	no	—
908	#121	—	13	16	no	—
909	#121	—	13	8	no	—
910	#121	—	13	16	no	—
911	#121	—	13	16	no	—
912	#121	—	13	8	no	—
913	#121	—	13	8	no	—
914	#121	—	13	16	no	—
915	#121	—	13	16	no	—
916	#121	—	13	16	no	—
917	#121	—	13	16	no	—
918	#121	—	13	16	no	—
919	#121	—	13	16	no	—
920	#121	—	13	16	no	—
921	#121	—	13	16	no	—
922	#121	C₂²×D₁₃	1	8	yes	—
923	#120	—	13	16	no	—
924	#120	—	13	16	no	—
925	#120	—	13	16	no	—
926	#120	—	13	16	no	—
927	C₄×Q₈	—	13	8	no	—
928	C₄×Q₈	—	13	8	no	—
929	C₄×Q₈	—	13	8	no	—
930	C₄×Q₈	C₂²×D₁₃	1	8	yes	complemented
931	C₄×D₄	—	13	16	no	—
932	C₄×D₄	—	13	16	no	—
933	C₄×D₄	—	13	16	no	—
934	C₄×D₄	—	13	16	no	—
935	C₄×D₄	—	13	16	no	—
936	C₄×D₄	—	13	8	no	—
937	C₄×D₄	—	13	16	no	—
938	C₄×D₄	—	13	16	no	—
939	C₄×D₄	—	13	8	no	—
940	C₄×D₄	—	13	8	no	—
941	C₄×D₄	C₂²×D₁₃	1	8	yes	—
942	C₄×D₄	C₂²×D₁₃	1	8	yes	—
943	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
944	#117	—	13	16	no	—
945	#117	—	13	16	no	—
946	#117	C₂²×D₁₃	1	8	yes	—
947	#117	C₂²×D₁₃	1	8	yes	complemented
948	C₂×C₄⋊C₄	—	13	2	no	—
949	C₂×C₄⋊C₄	—	13	2	no	—
950	C₂×C₄⋊C₄	—	13	2	no	—
951	C₂×C₄⋊C₄	—	13	2	no	—
952	C₂×C₄⋊C₄	—	13	2	no	—
953	C₂×C₄⋊C₄	—	13	1	no	—
954	C₂×C₄⋊C₄	—	13	1	no	—
955	C₂×C₄⋊C₄	—	13	2	no	—
956	C₂×C₄⋊C₄	—	13	2	no	—
957	C₂×C₄⋊C₄	—	13	2	no	—
958	C₂×C₄⋊C₄	—	13	2	no	—
959	C₂×C₄⋊C₄	—	13	2	no	—
960	C₂×C₄⋊C₄	—	13	2	no	—
961	C₂×C₄⋊C₄	—	13	2	no	—
962	C₂×C₄⋊C₄	—	13	16	no	—
963	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
964	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
965	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
971	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
972	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
973	C₂×C₂²⋊C₄	—	13	2	no	—
974	C₂×C₂²⋊C₄	—	13	2	no	—
975	C₂×C₂²⋊C₄	—	13	2	no	—
976	C₂×C₂²⋊C₄	—	13	2	no	—
977	C₂×C₂²⋊C₄	—	13	2	no	—
978	C₂×C₂²⋊C₄	—	13	2	no	—
979	C₂×C₂²⋊C₄	—	13	2	no	—
980	C₂×C₂²⋊C₄	—	13	2	no	—
981	C₂×C₂²⋊C₄	—	13	2	no	—
982	C₂×C₂²⋊C₄	—	13	2	no	—
983	C₂×C₂²⋊C₄	—	13	2	no	—
984	C₂×C₂²⋊C₄	—	13	2	no	—
985	C₂×C₂²⋊C₄	—	13	2	no	—
986	C₂×C₂²⋊C₄	—	13	2	no	—
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	2	no	—
991	C₂×C₂²⋊C₄	—	13	2	no	—
992	C₂×C₂²⋊C₄	—	13	16	no	—
993	C₂×C₂²⋊C₄	—	13	16	no	—
994	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
995	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
996	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
997	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
998	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
999	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1000	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1001	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1002	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1003	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1004	C₂×C₄²	—	13	2	no	—
1005	C₂×C₄²	—	13	2	no	—
1006	C₂×C₄²	—	13	2	no	—
1007	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1008	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1009	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1010	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1011	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1012	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1013	C₂×C₄²	C₂²×D₁₃	1	8	yes	complemented
1014	C₂×C₁₃	—	4	2	no	—
1015	C₂×C₁₃	—	4	2	no	—
1016	C₂×C₁₃	—	4	2	no	—
1017	C₂×C₁₃	#3562	1	4	yes	complemented
1018	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1019	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1020	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1021	D₁₃	—	4	4	no	—
1022	D₁₃	—	4	4	no	—
1023	D₁₃	—	4	4	no	—
1024	C₂⁴	—	13	2	no	—
1025	C₂⁴	—	13	2	no	—
1026	C₂⁴	—	13	2	no	—
1027	C₂⁴	—	13	8	no	—
1028	C₂⁴	—	52	4	no	—
1029	C₂⁴	—	52	4	no	—
1030	C₂⁴	—	52	4	no	—
1031	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1032	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1033	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1034	#41	—	52	16	no	—
1035	#41	—	52	16	no	—
1036	#41	—	52	16	no	—
1037	#41	—	52	16	no	—
1038	C₂×Q₈	—	4	2	no	—
1039	C₂×Q₈	—	13	4	no	—
1040	C₂×Q₈	—	13	4	no	—
1041	C₂×Q₈	—	13	4	no	—
1042	C₂×Q₈	—	13	8	no	—
1043	C₂×Q₈	—	26	4	no	—
1044	C₂×Q₈	—	26	4	no	—
1045	C₂×Q₈	—	26	4	no	—
1046	C₂×Q₈	—	52	4	no	—
1047	C₂×Q₈	—	52	16	no	—
1048	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1049	C₂×D₄	—	4	2	no	—
1050	C₂×D₄	—	4	2	no	—
1051	C₂×D₄	—	4	2	no	—
1052	C₂×D₄	—	13	8	no	—
1053	C₂×D₄	—	13	8	no	—
1054	C₂×D₄	—	13	8	no	—
1055	C₂×D₄	—	13	8	no	—
1056	C₂×D₄	—	13	8	no	—
1057	C₂×D₄	—	13	8	no	—
1058	C₂×D₄	—	13	8	no	—
1059	C₂×D₄	—	13	4	no	—
1060	C₂×D₄	—	13	4	no	—
1061	C₂×D₄	—	13	4	no	—
1062	C₂×D₄	—	13	8	no	—
1063	C₂×D₄	—	13	8	no	—
1064	C₂×D₄	—	13	8	no	—
1065	C₂×D₄	—	13	8	no	—
1066	C₂×D₄	—	13	8	no	—
1067	C₂×D₄	—	26	4	no	—
1068	C₂×D₄	—	26	4	no	—
1069	C₂×D₄	—	26	4	no	—
1070	C₂×D₄	—	52	16	no	—
1071	C₂×D₄	—	52	4	no	—
1072	C₂×D₄	—	52	4	no	—
1073	C₂×D₄	—	52	4	no	—
1074	C₂×D₄	—	52	4	no	—
1075	C₂×D₄	—	52	4	no	—
1076	C₂×D₄	—	52	4	no	—
1077	C₂×D₄	—	52	4	no	—
1078	C₂×D₄	—	52	4	no	—
1079	C₂×D₄	—	52	4	no	—
1080	C₂×D₄	—	52	4	no	—
1081	C₂×D₄	—	52	4	no	—
1082	C₂×D₄	—	52	4	no	—
1083	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1084	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1085	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1086	C₂²×C₄	—	2	4	no	—
1087	C₂²×C₄	—	2	4	no	—
1088	C₂²×C₄	—	2	4	no	—
1089	C₂²×C₄	—	4	2	no	—
1090	C₂²×C₄	—	4	2	no	—
1091	C₂²×C₄	—	13	2	no	—
1092	C₂²×C₄	—	13	2	no	—
1093	C₂²×C₄	—	13	2	no	—
1094	C₂²×C₄	—	13	2	no	—
1095	C₂²×C₄	—	13	2	no	—
1096	C₂²×C₄	—	13	8	no	—
1097	C₂²×C₄	—	13	8	no	—
1098	C₂²×C₄	—	13	8	no	—
1099	C₂²×C₄	—	13	8	no	—
1100	C₂²×C₄	—	13	8	no	—
1101	C₂²×C₄	—	13	8	no	—
1102	C₂²×C₄	—	13	8	no	—
1103	C₂²×C₄	—	13	8	no	—
1104	C₂²×C₄	—	52	4	no	—
1105	C₂²×C₄	—	52	4	no	—
1106	C₂²×C₄	—	52	4	no	—
1107	C₂²×C₄	—	52	4	no	—
1108	C₂²×C₄	—	52	4	no	—
1109	C₂²×C₄	—	52	4	no	—
1110	C₂²×C₄	—	52	4	no	—
1111	C₂²×C₄	—	52	4	no	—
1112	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1113	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1114	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1115	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1116	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1117	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1119	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1120	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1121	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1122	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1123	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1127	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1128	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1129	C₄⋊C₄	—	13	8	no	—
1130	C₄⋊C₄	—	13	8	no	—
1131	C₄⋊C₄	—	13	8	no	—
1132	C₄⋊C₄	—	13	8	no	—
1133	C₄⋊C₄	—	13	8	no	—
1134	C₄⋊C₄	—	13	4	no	—
1135	C₄⋊C₄	—	13	4	no	—
1136	C₄⋊C₄	—	13	8	no	—
1137	C₄⋊C₄	—	13	8	no	—
1138	C₄⋊C₄	—	13	8	no	—
1139	C₄⋊C₄	—	13	8	no	—
1140	C₄⋊C₄	—	13	8	no	—
1141	C₄⋊C₄	—	13	8	no	—
1142	C₄⋊C₄	—	13	8	no	—
1143	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1144	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1145	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1146	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1147	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1148	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1149	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1150	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1151	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1152	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1153	C₂²⋊C₄	—	13	8	no	—
1154	C₂²⋊C₄	—	13	8	no	—
1155	C₂²⋊C₄	—	13	8	no	—
1156	C₂²⋊C₄	—	13	8	no	—
1157	C₂²⋊C₄	—	13	8	no	—
1158	C₂²⋊C₄	—	13	8	no	—
1159	C₂²⋊C₄	—	13	8	no	—
1160	C₂²⋊C₄	—	13	8	no	—
1161	C₂²⋊C₄	—	13	8	no	—
1162	C₂²⋊C₄	—	13	8	no	—
1163	C₂²⋊C₄	—	13	8	no	—
1164	C₂²⋊C₄	—	13	8	no	—
1165	C₂²⋊C₄	—	13	8	no	—
1166	C₂²⋊C₄	—	13	8	no	—
1167	C₂²⋊C₄	—	13	8	no	—
1168	C₂²⋊C₄	—	13	8	no	—
1169	C₂²⋊C₄	—	13	8	no	—
1170	C₂²⋊C₄	—	13	8	no	—
1171	C₂²⋊C₄	—	13	8	no	—
1172	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1173	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1174	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1175	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1176	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1177	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1178	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1179	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1180	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1181	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1182	C₄²	—	13	8	no	—
1183	C₄²	—	13	8	no	—
1184	C₄²	—	13	8	no	—
1185	C₄²	C₂³×D₁₃	1	4	yes	—
1186	C₄²	C₂³×D₁₃	1	4	yes	—
1187	C₄²	C₂³×D₁₃	1	4	yes	—
1188	C₄²	C₂³×D₁₃	1	4	yes	—
1189	C₄²	C₂³×D₁₃	1	4	yes	—
1190	C₄²	C₂³×D₁₃	1	4	yes	—
1191	C₁₃	C₂×#3562	1	1	yes	characteristic, complemented, Sylow
1192	C₂³	—	2	2	no	—
1193	C₂³	—	2	2	no	—
1194	C₂³	—	2	2	no	—
1195	C₂³	—	2	2	no	—
1196	C₂³	—	2	2	no	—
1197	C₂³	—	2	2	no	—
1198	C₂³	—	2	2	no	—
1199	C₂³	—	2	2	no	—
1200	C₂³	—	2	2	no	—
1201	C₂³	—	13	4	no	—
1202	C₂³	—	13	4	no	—
1203	C₂³	—	13	4	no	—
1204	C₂³	—	26	4	no	—
1205	C₂³	—	26	4	no	—
1206	C₂³	—	26	4	no	—
1207	C₂³	—	26	4	no	—
1208	C₂³	—	26	4	no	—
1209	C₂³	—	26	4	no	—
1210	C₂³	—	26	4	no	—
1211	C₂³	—	26	4	no	—
1212	C₂³	—	26	4	no	—
1213	C₂³	—	52	8	no	—
1214	C₂³	—	52	8	no	—
1215	C₂³	—	52	8	no	—
1216	C₂³	—	104	16	no	—
1217	C₂³	C₂⁴×D₁₃	1	2	yes	—
1218	C₂³	C₂⁴×D₁₃	1	2	yes	—
1219	C₂³	C₂⁴×D₁₃	1	2	yes	—
1220	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1221	Q₈	—	4	4	no	—
1222	Q₈	—	26	8	no	—
1223	Q₈	—	26	8	no	—
1224	Q₈	—	26	8	no	—
1225	Q₈	—	52	8	no	—
1226	D₄	—	4	4	no	—
1227	D₄	—	4	4	no	—
1228	D₄	—	4	4	no	—
1229	D₄	—	26	8	no	—
1230	D₄	—	26	8	no	—
1231	D₄	—	26	8	no	—
1232	D₄	—	52	8	no	—
1233	D₄	—	52	8	no	—
1234	D₄	—	52	8	no	—
1235	D₄	—	52	8	no	—
1236	D₄	—	52	8	no	—
1237	D₄	—	52	8	no	—
1238	D₄	—	52	8	no	—
1239	D₄	—	52	8	no	—
1240	D₄	—	52	8	no	—
1241	D₄	—	52	8	no	—
1242	D₄	—	52	8	no	—
1243	D₄	—	52	8	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	2	2	no	—
1246	C₂×C₄	—	2	2	no	—
1247	C₂×C₄	—	2	2	no	—
1248	C₂×C₄	—	2	2	no	—
1249	C₂×C₄	—	2	2	no	—
1250	C₂×C₄	—	2	2	no	—
1251	C₂×C₄	—	2	2	no	—
1252	C₂×C₄	—	2	2	no	—
1253	C₂×C₄	—	2	2	no	—
1254	C₂×C₄	—	2	2	no	—
1255	C₂×C₄	—	2	8	no	—
1256	C₂×C₄	—	2	8	no	—
1257	C₂×C₄	—	2	8	no	—
1258	C₂×C₄	—	4	4	no	—
1259	C₂×C₄	—	4	4	no	—
1260	C₂×C₄	—	13	4	no	—
1261	C₂×C₄	—	13	4	no	—
1262	C₂×C₄	—	13	4	no	—
1263	C₂×C₄	—	13	4	no	—
1264	C₂×C₄	—	13	4	no	—
1265	C₂×C₄	—	26	4	no	—
1266	C₂×C₄	—	26	4	no	—
1267	C₂×C₄	—	26	4	no	—
1268	C₂×C₄	—	26	4	no	—
1269	C₂×C₄	—	26	4	no	—
1270	C₂×C₄	—	52	8	no	—
1271	C₂×C₄	—	52	8	no	—
1272	C₂×C₄	—	52	8	no	—
1273	C₂×C₄	—	52	8	no	—
1274	C₂×C₄	—	52	8	no	—
1275	C₂×C₄	—	52	8	no	—
1276	C₂×C₄	—	52	8	no	—
1277	C₂×C₄	—	52	8	no	—
1278	C₂×C₄	#88256	1	4	yes	—
1279	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1280	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1281	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1282	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1283	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1284	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1285	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1286	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1287	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1288	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1289	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1290	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	2	no	—
1293	C₂²	—	2	2	no	—
1294	C₂²	—	2	2	no	—
1295	C₂²	—	2	2	no	—
1296	C₂²	—	2	2	no	—
1297	C₂²	—	2	2	no	—
1298	C₂²	—	2	2	no	—
1299	C₂²	—	2	2	no	—
1300	C₂²	—	4	4	no	—
1301	C₂²	—	4	4	no	—
1302	C₂²	—	4	4	no	—
1303	C₂²	—	26	4	no	—
1304	C₂²	—	26	4	no	—
1305	C₂²	—	26	4	no	—
1306	C₂²	—	26	4	no	—
1307	C₂²	—	26	4	no	—
1308	C₂²	—	26	4	no	—
1309	C₂²	—	26	4	no	—
1310	C₂²	—	26	4	no	—
1311	C₂²	—	26	4	no	—
1312	C₂²	—	52	8	no	—
1313	C₂²	—	52	8	no	—
1314	C₂²	—	52	8	no	—
1315	C₂²	—	104	16	no	—
1316	C₂²	C₂×#88256	1	2	yes	—
1317	C₂²	#11719648	1	2	yes	—
1318	C₂²	#11719648	1	2	yes	—
1319	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1320	C₄	—	2	2	no	—
1321	C₄	—	2	2	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	2	2	no	—
1324	C₄	—	2	2	no	—
1325	C₄	—	2	2	no	—
1326	C₄	—	2	2	no	—
1327	C₄	—	2	2	no	—
1328	C₄	—	2	2	no	—
1329	C₄	—	2	2	no	—
1330	C₄	—	2	2	no	—
1331	C₄	—	26	4	no	—
1332	C₄	—	26	4	no	—
1333	C₄	—	26	4	no	—
1334	C₄	—	26	4	no	—
1335	C₄	—	26	4	no	—
1336	C₄	C₂×#88256	1	4	yes	—
1337	C₂	—	4	2	no	—
1338	C₂	—	4	2	no	—
1339	C₂	—	4	2	no	—
1340	C₂	—	52	4	no	—
1341	C₂	—	52	4	no	—
1342	C₂	—	52	4	no	—
1343	C₂	#13129424	1	4	yes	direct product factor
1344	C₂	C₂²×#88256	1	1	yes	characteristic
1345	C₂	C₂×#11719648	1	1	yes	characteristic
1346	C₂	C₂×#11719648	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#529	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#529	D₁₃
hypocenter	C₁₃	C₂×#3562
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#529

Complements

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

N	H ≅ G/N	type
1. #13129424	C₂	direct (N × H)
2. C₂×#11719352	C₂	semidirect
3. C₂×#11719325	C₂	semidirect
4. C₂×#11719290	C₂	semidirect
5. C₂×#11719289	C₂	semidirect
6. C₂×#11719414	C₂	semidirect
7. C₂×#11719410	C₂	semidirect
8. C₂×#11719258	C₂	semidirect
9. C₂×#11719257	C₂	semidirect
10. C₂×#11719257	C₂	semidirect
11. C₂×#11719256	C₂	semidirect
12. C₂×#11719255	C₂	semidirect
13. C₂×#11719255	C₂	semidirect
14. C₂×#11719223	C₂	semidirect
15. C₂×#11719240	C₂	semidirect
16. C₂×#11719368	C₂	semidirect
17. C₂×#11719397	C₂	semidirect
18. C₂×#11719362	C₂	semidirect
19. C₂×#11719383	C₂	semidirect
20. C₂×#11719231	C₂	semidirect
21. C₂×#11719230	C₂	semidirect
22. C₂×#11719182	C₂	semidirect
23. C₂×#11719184	C₂	semidirect
24. C₂×C₁₃×#529	C₂	semidirect
28. C₂²×#6127	C₂²	semidirect
30. C₂³×Dic₂₆	C₂²	semidirect
31. C₁₃×#529	C₂²	semidirect
33. C₂×C₁₃×#126	C₂²	semidirect
34. C₂×C₁₃×#125	C₂²	semidirect
37. C₂×C₁₃×#123	C₂²	semidirect
38. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
40. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
43. C₂×C₄×D₄×C₁₃	C₂²	semidirect
45. C₂×C₁₃×#117	C₂²	semidirect
46. C₂²×C₄²×C₁₃	C₂²	semidirect
47. C₂×#88201	C₂²	semidirect
48. C₂×#88200	C₂²	semidirect
49. C₂×#88194	C₂²	semidirect
51. C₂×#88193	C₂²	semidirect
57. C₂×#88184	C₂²	semidirect
58. C₂×#88184	C₂²	semidirect
59. C₂×#88184	C₂²	semidirect
60. C₂×#88183	C₂²	semidirect
61. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
64. C₂×#88178	C₂²	semidirect
65. #11719414	C₂²	semidirect
66. #11719410	C₂²	semidirect
67. #11719397	C₂²	semidirect
68. #11719383	C₂²	semidirect
69. #11719368	C₂²	semidirect
70. #11719362	C₂²	semidirect
71. #11719352	C₂²	semidirect
72. #11719325	C₂²	semidirect
73. #11719290	C₂²	semidirect
74. #11719289	C₂²	semidirect
75. #11719258	C₂²	semidirect
76. #11719257	C₂²	semidirect
77. #11719257	C₂²	semidirect
78. #11719256	C₂²	semidirect
79. #11719255	C₂²	semidirect
80. #11719255	C₂²	semidirect
81. #11719240	C₂²	semidirect
82. #11719231	C₂²	semidirect
83. #11719230	C₂²	semidirect
84. #11719223	C₂²	semidirect
85. C₂×#88152	C₂²	semidirect
86. C₂×#88152	C₂²	semidirect
87. C₂×#88151	C₂²	semidirect
88. C₂×#88151	C₂²	semidirect
89. C₂×#88150	C₂²	semidirect
90. C₂×#88150	C₂²	semidirect
95. C₂×#88148	C₂²	semidirect
96. C₂×#88148	C₂²	semidirect
97. C₂×#88148	C₂²	semidirect
98. C₂×#88148	C₂²	semidirect
99. C₂×#88147	C₂²	semidirect
100. C₂×#88147	C₂²	semidirect
101. C₂×#88146	C₂²	semidirect
102. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
103. C₂×#88143	C₂²	semidirect
104. C₂×#88143	C₂²	semidirect
105. C₂×#88140	C₂²	semidirect
106. C₂×#88140	C₂²	semidirect
108. C₂×#88139	C₂²	semidirect
111. C₂×#88138	C₂²	semidirect
112. C₂×#88138	C₂²	semidirect
113. C₂×#88138	C₂²	semidirect
114. C₂×#88138	C₂²	semidirect
116. C₂×#88137	C₂²	semidirect
119. C₂×#88135	C₂²	semidirect
120. C₂×#88135	C₂²	semidirect
125. #11719184	C₂²	semidirect
126. C₂×#88130	C₂²	semidirect
127. #11719182	C₂²	semidirect
132. C₂×#88129	C₂²	semidirect
137. C₂×C₄×D₅₂	C₂²	semidirect
138. C₂×C₄×D₅₂	C₂²	semidirect
139. C₂×C₄×D₅₂	C₂²	semidirect
140. C₂×#88126	C₂²	semidirect
141. C₂×#88124	C₂²	semidirect
142. C₂×#88123	C₂²	semidirect
143. C₂×#88123	C₂²	semidirect
144. C₂×C₄×Dic₂₆	C₂²	semidirect
145. C₂×C₄×Dic₂₆	C₂²	semidirect
146. C₂×C₄×Dic₂₆	C₂²	semidirect
172. C₂×#6127	C₂³	semidirect
195. C₂²×Dic₂₆	C₂³	semidirect
197. C₁₃×#126	C₂³	semidirect
198. C₁₃×#125	C₂³	semidirect
201. C₁₃×#123	C₂³	semidirect
202. C₁₃×C₂²⋊Q₈	C₂³	semidirect
204. C₄×Q₈×C₁₃	C₂³	semidirect
207. C₄×D₄×C₁₃	C₂³	semidirect
209. C₁₃×#117	C₂³	semidirect
236. C₂×C₄²×C₁₃	C₂³	semidirect
240. #88201	C₂³	semidirect
241. #88200	C₂³	semidirect
242. #88194	C₂³	semidirect
244. #88193	C₂³	semidirect
250. #88184	C₂³	semidirect
251. #88184	C₂³	semidirect
252. #88184	C₂³	semidirect
253. #88183	C₂³	semidirect
254. C₄×C₂²⋊D₁₃	C₂³	semidirect
279. #88178	C₂³	semidirect
291. #88152	C₂³	semidirect
292. #88152	C₂³	semidirect
293. #88151	C₂³	semidirect
294. #88151	C₂³	semidirect
295. #88150	C₂³	semidirect
296. #88150	C₂³	semidirect
301. #88148	C₂³	semidirect
302. #88148	C₂³	semidirect
303. #88148	C₂³	semidirect
304. #88148	C₂³	semidirect
305. #88147	C₂³	semidirect
306. #88147	C₂³	semidirect
307. #88146	C₂³	semidirect
308. C₄⋊C₄×D₁₃	C₂³	semidirect
309. #88143	C₂³	semidirect
310. #88143	C₂³	semidirect
311. #88140	C₂³	semidirect
312. #88140	C₂³	semidirect
314. #88139	C₂³	semidirect
317. #88138	C₂³	semidirect
318. #88138	C₂³	semidirect
319. #88138	C₂³	semidirect
320. #88138	C₂³	semidirect
322. #88137	C₂³	semidirect
325. #88135	C₂³	semidirect
326. #88135	C₂³	semidirect
331. #88130	C₂³	semidirect
336. #88129	C₂³	semidirect
341. C₄×D₅₂	C₂³	semidirect
342. C₄×D₅₂	C₂³	semidirect
343. C₄×D₅₂	C₂³	semidirect
344. #88126	C₂³	semidirect
345. #88124	C₂³	semidirect
346. #88123	C₂³	semidirect
347. #88123	C₂³	semidirect
348. C₄×Dic₂₆	C₂³	semidirect
349. C₄×Dic₂₆	C₂³	semidirect
350. C₄×Dic₂₆	C₂³	semidirect
542. C₂×#529	D₁₃	semidirect
675. #529	C₂×D₁₃	semidirect
682. C₂×#126	C₂×D₁₃	semidirect
686. C₂×#125	C₂×D₁₃	semidirect
708. C₂×#123	C₂×D₁₃	semidirect
717. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
742. C₂×C₄×Q₈	C₂×D₁₃	semidirect
755. C₂×C₄×D₄	C₂×D₁₃	semidirect
759. C₂×#117	C₂×D₁₃	semidirect
763. C₂²×C₄²	C₂×D₁₃	semidirect
870. #126	C₂²×D₁₃	semidirect
874. #125	C₂²×D₁₃	semidirect
896. #123	C₂²×D₁₃	semidirect
905. C₂²⋊Q₈	C₂²×D₁₃	semidirect
930. C₄×Q₈	C₂²×D₁₃	semidirect
943. C₄×D₄	C₂²×D₁₃	semidirect
947. #117	C₂²×D₁₃	semidirect
1013. C₂×C₄²	C₂²×D₁₃	semidirect
1017. C₂×C₁₃	#3562	semidirect
1191. C₁₃	C₂×#3562	semidirect
1343. C₂	#13129424	direct (N × H)

Maximal subgroups

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

subgroup	index
#13129424	2
C₂×#11719352	2
C₂×#11719325	2
C₂×#11719290	2
C₂×#11719289	2
C₂×#11719414	2
C₂×#11719410	2
C₂×#11719258	2
C₂×#11719257	2
C₂×#11719256	2
C₂×#11719255	2
C₂×#11719223	2
C₂×#11719240	2
C₂×#11719368	2
C₂×#11719397	2
C₂×#11719362	2
C₂×#11719383	2
C₂×#11719231	2
C₂×#11719230	2
C₂×#11719182	2
C₂×#11719184	2
C₂×C₁₃×#529	2
C₂×#3562	13

Subgroups — C2×#13129424 #16770411

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13129424 #16770411