Subgroups — C₂×#13129032 #16770118

Order 3328.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129032	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719417	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719351	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11719372	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719389	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11719244	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719341	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#11719234	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#11719413	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11719200	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719232	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719363	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719256	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719360	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11719195	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11719296	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#11719224	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#11719188	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#11719239	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#11719367	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#11719370	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11719365	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#11719269	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#11719412	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#11719412	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#11719298	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#11719333	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11719380	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11719252	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂²×#88137	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×D₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#551	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂³×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
34	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#6129	C₂²	1	1	yes	characteristic
36	C₂²×#6127	C₂²	1	1	yes	characteristic
37	C₂²×#6127	C₂²	1	1	yes	characteristic, complemented
38	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
39	C₁₃×#551	C₂²	1	16	yes	complemented
40	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
47	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
52	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
53	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
54	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
55	C₂×#88207	C₂²	1	1	yes	characteristic
56	C₂²×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
57	C₂²×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
58	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
59	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
60	C₂×#88198	C₂²	1	1	yes	characteristic, complemented
61	C₂×#88193	C₂²	1	1	yes	characteristic
62	C₂×#88193	C₂²	1	1	yes	characteristic
63	C₂×#88193	C₂²	1	1	yes	characteristic
64	C₂×#88193	C₂²	1	1	yes	characteristic, complemented
65	C₂×#88192	C₂²	1	1	yes	characteristic
66	C₂×#88192	C₂²	1	1	yes	characteristic, complemented
67	C₂×#88191	C₂²	1	1	yes	characteristic
68	C₂×#88190	C₂²	1	1	yes	characteristic, complemented
69	C₂×#88189	C₂²	1	1	yes	characteristic, complemented
70	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
71	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
72	C₂×#88184	C₂²	1	1	yes	characteristic
73	C₂×#88183	C₂²	1	1	yes	characteristic
74	C₂×#88183	C₂²	1	1	yes	characteristic
75	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
76	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
77	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
78	C₂²×#6103	C₂²	1	1	yes	characteristic
79	C₂×#88180	C₂²	1	1	yes	characteristic
80	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
81	C₂×#88178	C₂²	1	1	yes	characteristic
82	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
83	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
84	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
85	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
86	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
87	C₂²×#6101	C₂²	1	1	yes	characteristic
88	C₂²×#6101	C₂²	1	1	yes	characteristic, complemented
89	#11719417	C₂²	1	16	yes	complemented
90	#11719413	C₂²	1	16	yes	complemented
91	#11719412	C₂²	1	16	yes	complemented
92	#11719412	C₂²	1	16	yes	complemented
93	#11719389	C₂²	1	16	yes	complemented
94	#11719380	C₂²	1	16	yes	complemented
95	#11719372	C₂²	1	16	yes	complemented
96	#11719370	C₂²	1	16	yes	complemented
97	#11719367	C₂²	1	16	yes	complemented
98	#11719365	C₂²	1	16	yes	complemented
99	#11719363	C₂²	1	16	yes	complemented
100	#11719360	C₂²	1	16	yes	complemented
101	#11719351	C₂²	1	16	yes	complemented
102	#11719341	C₂²	1	16	yes	complemented
103	#11719333	C₂²	1	16	yes	complemented
104	D₁₃×C₂²⋊Q₈	C₂²	1	16	yes	complemented
105	#11719298	C₂²	1	16	yes	complemented
106	#11719296	C₂²	1	16	yes	complemented
107	#11719269	C₂²	1	16	yes	complemented
108	#11719256	C₂²	1	16	yes	complemented
109	#11719252	C₂²	1	16	yes	complemented
110	#11719244	C₂²	1	16	yes	complemented
111	#11719239	C₂²	1	16	yes	complemented
112	#11719234	C₂²	1	16	yes	complemented
113	#11719232	C₂²	1	16	yes	complemented
114	#11719224	C₂²	1	16	yes	complemented
115	C₂×#88152	C₂²	1	1	yes	characteristic, complemented
116	C₂×#88152	C₂²	1	1	yes	characteristic, complemented
117	C₂×#88152	C₂²	1	1	yes	characteristic, complemented
118	C₂×#88152	C₂²	1	1	yes	characteristic, complemented
119	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
120	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
121	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
122	C₂×#88150	C₂²	1	1	yes	characteristic, complemented
123	C₂×#88150	C₂²	1	1	yes	characteristic, complemented
124	C₂×#88150	C₂²	1	1	yes	characteristic, complemented
125	C₂×#88150	C₂²	1	1	yes	characteristic, complemented
126	C₂×#88150	C₂²	1	1	yes	characteristic, complemented
127	C₂×#88150	C₂²	1	1	yes	characteristic, complemented
128	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
129	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
130	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
131	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
133	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
136	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
137	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
138	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
139	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
140	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
141	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
142	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
143	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
144	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
145	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
146	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
147	#11719200	C₂²	1	16	yes	complemented
148	C₂×#88140	C₂²	1	1	yes	characteristic
149	C₂×#88140	C₂²	1	1	yes	characteristic, complemented
150	C₂×#88140	C₂²	1	1	yes	characteristic, complemented
151	C₂×#88140	C₂²	1	1	yes	characteristic, complemented
152	C₂×#88139	C₂²	1	1	yes	characteristic
153	C₂×#88139	C₂²	1	1	yes	characteristic
154	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
155	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
156	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
157	#11719195	C₂²	1	16	yes	complemented
158	C₂×#88138	C₂²	1	1	yes	characteristic
159	C₂×#88138	C₂²	1	1	yes	characteristic
160	C₂×#88138	C₂²	1	1	yes	characteristic, complemented
161	C₂×#88137	C₂²	1	1	yes	characteristic
162	C₂×#88137	C₂²	1	1	yes	characteristic
163	C₂×#88137	C₂²	1	1	yes	characteristic
164	C₂×#88137	C₂²	1	1	yes	characteristic
165	C₂×#88137	C₂²	1	1	yes	characteristic
166	C₂×#88137	C₂²	1	1	yes	characteristic
167	C₂×#88137	C₂²	1	1	yes	characteristic
168	C₂×#88137	C₂²	1	1	yes	characteristic
169	C₂×#88137	C₂²	1	1	yes	characteristic
170	C₂×#88137	C₂²	1	1	yes	characteristic
171	C₂×#88137	C₂²	1	16	yes	complemented
172	C₂×#88137	C₂²	1	1	yes	characteristic, complemented
173	C₂×#88137	C₂²	1	1	yes	characteristic, complemented
174	C₂×#88137	C₂²	1	1	yes	characteristic, complemented
175	C₂×#88137	C₂²	1	1	yes	characteristic, complemented
176	C₂×#88137	C₂²	1	1	yes	characteristic, complemented
177	C₂×#88136	C₂²	1	1	yes	characteristic
178	C₂×#88135	C₂²	1	1	yes	characteristic
179	C₂×#88135	C₂²	1	1	yes	characteristic
180	C₂×#88135	C₂²	1	1	yes	characteristic
181	C₂×#88135	C₂²	1	1	yes	characteristic, complemented
182	C₂×#88135	C₂²	1	1	yes	characteristic, complemented
183	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
184	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
185	#11719188	C₂²	1	16	yes	complemented
186	C₂×#88133	C₂²	1	1	yes	characteristic, complemented
187	C₂×#88133	C₂²	1	1	yes	characteristic, complemented
188	C₂×#88133	C₂²	1	1	yes	characteristic, complemented
189	C₂×#88133	C₂²	1	1	yes	characteristic, complemented
190	C₂×#88133	C₂²	1	1	yes	characteristic, complemented
191	C₂×#88132	C₂²	1	1	yes	characteristic
192	C₂×#88132	C₂²	1	1	yes	characteristic
193	C₂×#88132	C₂²	1	1	yes	characteristic
194	C₂×#88132	C₂²	1	1	yes	characteristic
195	C₂×#88132	C₂²	1	1	yes	characteristic
196	C₂×#88132	C₂²	1	1	yes	characteristic
197	C₂×#88132	C₂²	1	1	yes	characteristic
198	C₂×#88132	C₂²	1	1	yes	characteristic, complemented
199	C₂×#88132	C₂²	1	1	yes	characteristic, complemented
200	C₂×#88132	C₂²	1	1	yes	characteristic, complemented
201	C₂×#88132	C₂²	1	1	yes	characteristic, complemented
202	C₂×#88132	C₂²	1	1	yes	characteristic, complemented
203	C₂×#88132	C₂²	1	1	yes	characteristic, complemented
204	C₂×#88132	C₂²	1	1	yes	characteristic, complemented
205	C₂×#88132	C₂²	1	1	yes	characteristic, complemented
206	C₂×#88131	C₂²	1	1	yes	characteristic, complemented
207	C₂×#88130	C₂²	1	1	yes	characteristic, complemented
208	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
209	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
210	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
211	C₂×#88126	C₂²	1	1	yes	characteristic, complemented
212	C₂×#88126	C₂²	1	1	yes	characteristic, complemented
213	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
214	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
215	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
216	C₂×#88123	C₂²	1	1	yes	characteristic, complemented
217	C₂×#88123	C₂²	1	1	yes	characteristic, complemented
218	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
219	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
220	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
221	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
222	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
223	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
224	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
225	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
226	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
227	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
228	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
229	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
230	C₂²×C₂²⋊D₁₃	—	4	4	no	—
231	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
232	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
233	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
234	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
235	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
236	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
237	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
238	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	—
239	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
240	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
241	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
242	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
243	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
244	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
245	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
246	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
247	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
248	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
249	C₂×Q₈×D₁₃	—	4	4	no	—
250	C₂×Q₈×D₁₃	C₂³	1	8	yes	complemented
251	C₂×#6129	—	4	4	no	—
252	C₂×#6129	C₂³	1	8	yes	—
253	C₂×#6127	—	4	4	no	—
254	C₂×#6127	—	4	4	no	—
255	C₂×#6127	C₂³	1	8	yes	—
256	C₂×#6127	C₂³	1	8	yes	complemented
257	C₂²×D₅₂	C₂³	1	1	yes	characteristic
258	C₂²×D₅₂	C₂³	1	1	yes	characteristic
259	C₂²×C₄×D₁₃	—	4	4	no	—
260	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
261	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
262	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
263	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
264	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
265	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
266	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
267	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
268	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
269	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
270	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
271	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
272	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
273	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
274	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
275	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
276	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
277	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
278	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
279	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
280	C₁₃×#126	C₂³	1	8	yes	complemented
281	C₁₃×#126	C₂³	1	8	yes	complemented
282	C₁₃×#124	C₂³	1	8	yes	complemented
283	C₁₃×#123	C₂³	1	8	yes	—
284	C₁₃×#123	C₂³	1	8	yes	complemented
285	C₁₃×#123	C₂³	1	8	yes	complemented
286	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
287	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
288	C₁₃×#120	C₂³	1	8	yes	—
289	C₄×D₄×C₁₃	C₂³	1	8	yes	—
290	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
291	C₁₃×#117	C₂³	1	8	yes	—
292	C₁₃×#117	C₂³	1	8	yes	complemented
293	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
316	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
317	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
318	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
319	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
320	#88207	C₂³	1	8	yes	—
321	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊Dic₁₃	C₂³	1	8	yes	—
335	C₂×C₂²⋊Dic₁₃	C₂³	1	8	yes	—
336	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
337	#88200	C₂³	1	8	yes	complemented
338	#88200	C₂³	1	8	yes	complemented
339	#88198	C₂³	1	8	yes	complemented
340	#88193	C₂³	1	8	yes	—
341	#88193	C₂³	1	8	yes	—
342	#88193	C₂³	1	8	yes	—
343	#88193	C₂³	1	8	yes	complemented
344	#88192	C₂³	1	8	yes	—
345	#88192	C₂³	1	8	yes	complemented
346	#88191	C₂³	1	8	yes	—
347	#88190	C₂³	1	8	yes	complemented
348	#88189	C₂³	1	8	yes	complemented
349	D₄×Dic₁₃	C₂³	1	8	yes	—
350	D₄×Dic₁₃	C₂³	1	8	yes	—
351	#88184	C₂³	1	8	yes	—
352	#88183	C₂³	1	8	yes	—
353	#88183	C₂³	1	8	yes	—
354	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
355	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
356	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
357	C₂×#6103	C₂³	1	1	yes	characteristic
358	C₂×#6103	C₂³	1	1	yes	characteristic
359	C₂×#6103	C₂³	1	1	yes	characteristic
360	C₂×#6103	C₂³	1	1	yes	characteristic
361	C₂×#6103	C₂³	1	1	yes	characteristic
362	C₂×#6103	C₂³	1	1	yes	characteristic
363	C₂×#6103	C₂³	1	1	yes	characteristic
364	C₂×#6103	C₂³	1	1	yes	characteristic
365	C₂×#6103	C₂³	1	1	yes	characteristic
366	C₂×#6103	C₂³	1	1	yes	characteristic
367	C₂×#6103	C₂³	1	1	yes	characteristic
368	C₂×#6103	C₂³	1	1	yes	characteristic
369	C₂×#6103	C₂³	1	1	yes	characteristic
370	C₂×#6103	C₂³	1	1	yes	characteristic
371	C₂×#6103	C₂³	1	1	yes	characteristic
372	C₂×#6103	C₂³	1	1	yes	characteristic
373	C₂×#6103	C₂³	1	1	yes	characteristic
374	C₂×#6103	C₂³	1	8	yes	—
375	C₂×#6103	C₂³	1	1	yes	characteristic
376	#88180	C₂³	1	8	yes	—
377	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
378	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
379	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
380	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
381	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
382	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
383	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
384	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
385	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
386	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
387	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
388	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
389	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
390	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊Dic₁₃	C₂³	1	8	yes	—
394	#88178	C₂³	1	8	yes	—
395	#88178	C₂³	1	8	yes	complemented
396	#88178	C₂³	1	8	yes	complemented
397	#88178	C₂³	1	8	yes	complemented
398	#88178	C₂³	1	8	yes	complemented
399	#88178	C₂³	1	8	yes	complemented
400	C₂×#6101	C₂³	1	1	yes	characteristic
401	C₂×#6101	C₂³	1	1	yes	characteristic
402	C₂×#6101	C₂³	1	1	yes	characteristic
403	C₂×#6101	C₂³	1	1	yes	characteristic
404	C₂×#6101	C₂³	1	1	yes	characteristic
405	C₂×#6101	C₂³	1	1	yes	characteristic
406	C₂×#6101	C₂³	1	1	yes	characteristic
407	C₂×#6101	C₂³	1	1	yes	characteristic
408	C₂×#6101	C₂³	1	1	yes	characteristic
409	C₂×#6101	C₂³	1	1	yes	characteristic
410	C₂×#6101	C₂³	1	1	yes	characteristic
411	C₂×#6101	C₂³	1	1	yes	characteristic
412	C₂×#6101	C₂³	1	1	yes	characteristic
413	C₂×#6101	C₂³	1	1	yes	characteristic
414	C₂×#6101	C₂³	1	1	yes	characteristic
415	C₂×#6101	C₂³	1	1	yes	characteristic
416	C₂×#6101	C₂³	1	1	yes	characteristic
417	C₂×#6101	C₂³	1	1	yes	characteristic
418	C₂×#6101	C₂³	1	1	yes	characteristic
419	C₂×#6101	C₂³	1	1	yes	characteristic
420	C₂×#6101	C₂³	1	1	yes	characteristic
421	C₂×#6101	C₂³	1	1	yes	characteristic
422	C₂×#6101	C₂³	1	1	yes	characteristic
423	C₂×#6101	C₂³	1	1	yes	characteristic
424	C₂×#6101	C₂³	1	1	yes	characteristic
425	C₂×#6101	C₂³	1	1	yes	characteristic
426	C₂×#6101	C₂³	1	8	yes	—
427	C₂×#6101	C₂³	1	8	yes	complemented
428	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
429	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
430	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
431	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
432	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
433	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
434	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
435	#88152	C₂³	1	8	yes	complemented
436	#88152	C₂³	1	8	yes	complemented
437	#88152	C₂³	1	8	yes	complemented
438	#88152	C₂³	1	8	yes	complemented
439	#88151	C₂³	1	8	yes	complemented
440	#88151	C₂³	1	8	yes	complemented
441	#88151	C₂³	1	8	yes	complemented
442	#88150	C₂³	1	8	yes	complemented
443	#88150	C₂³	1	8	yes	complemented
444	#88150	C₂³	1	8	yes	complemented
445	#88150	C₂³	1	8	yes	complemented
446	#88150	C₂³	1	8	yes	complemented
447	#88150	C₂³	1	8	yes	complemented
448	#88148	C₂³	1	8	yes	complemented
449	#88148	C₂³	1	8	yes	complemented
450	#88148	C₂³	1	8	yes	complemented
451	#88146	C₂³	1	8	yes	complemented
452	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
453	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
454	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
455	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
456	#88144	C₂³	1	8	yes	complemented
457	#88144	C₂³	1	8	yes	complemented
458	#88144	C₂³	1	8	yes	complemented
459	#88144	C₂³	1	8	yes	complemented
460	#88143	C₂³	1	8	yes	complemented
461	#88143	C₂³	1	8	yes	complemented
462	#88143	C₂³	1	8	yes	complemented
463	#88142	C₂³	1	8	yes	complemented
464	#88142	C₂³	1	8	yes	complemented
465	#88142	C₂³	1	8	yes	complemented
466	#88141	C₂³	1	8	yes	complemented
467	#88140	C₂³	1	8	yes	—
468	#88140	C₂³	1	8	yes	complemented
469	#88140	C₂³	1	8	yes	complemented
470	#88140	C₂³	1	8	yes	complemented
471	#88139	C₂³	1	8	yes	—
472	#88139	C₂³	1	8	yes	—
473	#88139	C₂³	1	8	yes	complemented
474	#88139	C₂³	1	8	yes	complemented
475	#88139	C₂³	1	8	yes	complemented
476	#88138	C₂³	1	8	yes	—
477	#88138	C₂³	1	8	yes	—
478	#88138	C₂³	1	8	yes	complemented
479	#88137	C₂³	1	8	yes	—
480	#88137	C₂³	1	8	yes	—
481	#88137	C₂³	1	8	yes	—
482	#88137	C₂³	1	8	yes	—
483	#88137	C₂³	1	8	yes	—
484	#88137	C₂³	1	8	yes	—
485	#88137	C₂³	1	8	yes	—
486	#88137	C₂³	1	8	yes	—
487	#88137	C₂³	1	8	yes	—
488	#88137	C₂³	1	8	yes	—
489	#88137	C₂³	1	8	yes	complemented
490	#88137	C₂³	1	8	yes	complemented
491	#88137	C₂³	1	8	yes	complemented
492	#88137	C₂³	1	8	yes	complemented
493	#88137	C₂³	1	8	yes	complemented
494	#88136	C₂³	1	8	yes	—
495	#88135	C₂³	1	8	yes	—
496	#88135	C₂³	1	8	yes	—
497	#88135	C₂³	1	8	yes	—
498	#88135	C₂³	1	8	yes	complemented
499	#88135	C₂³	1	8	yes	complemented
500	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
501	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
502	#88133	C₂³	1	8	yes	complemented
503	#88133	C₂³	1	8	yes	complemented
504	#88133	C₂³	1	8	yes	complemented
505	#88133	C₂³	1	8	yes	complemented
506	#88133	C₂³	1	8	yes	complemented
507	#88132	C₂³	1	8	yes	—
508	#88132	C₂³	1	8	yes	—
509	#88132	C₂³	1	8	yes	—
510	#88132	C₂³	1	8	yes	—
511	#88132	C₂³	1	8	yes	—
512	#88132	C₂³	1	8	yes	—
513	#88132	C₂³	1	8	yes	—
514	#88132	C₂³	1	8	yes	complemented
515	#88132	C₂³	1	8	yes	complemented
516	#88132	C₂³	1	8	yes	complemented
517	#88132	C₂³	1	8	yes	complemented
518	#88132	C₂³	1	8	yes	complemented
519	#88132	C₂³	1	8	yes	complemented
520	#88132	C₂³	1	8	yes	complemented
521	#88132	C₂³	1	8	yes	complemented
522	#88131	C₂³	1	8	yes	complemented
523	#88130	C₂³	1	8	yes	complemented
524	#88129	C₂³	1	8	yes	complemented
525	C₄×D₅₂	C₂³	1	8	yes	complemented
526	C₄×D₅₂	C₂³	1	8	yes	complemented
527	#88126	C₂³	1	8	yes	complemented
528	#88126	C₂³	1	8	yes	complemented
529	#88124	C₂³	1	8	yes	complemented
530	#88124	C₂³	1	8	yes	complemented
531	#88124	C₂³	1	8	yes	complemented
532	#88123	C₂³	1	8	yes	complemented
533	#88123	C₂³	1	8	yes	complemented
534	C₄×Dic₂₆	C₂³	1	8	yes	complemented
535	C₂×#3535	—	13	1	no	maximal, Sylow
536	C₂⁴×C₁₃	—	2	4	no	—
537	C₂⁴×C₁₃	—	4	2	no	—
538	C₂⁴×C₁₃	—	4	2	no	—
539	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
540	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
541	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
542	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
543	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
544	C₂³×D₁₃	—	2	4	no	—
545	C₂³×D₁₃	—	2	4	no	—
546	C₂³×D₁₃	—	4	2	no	—
547	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
548	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
549	C₂³×D₁₃	C₂⁴	1	4	yes	—
550	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
551	C₂×Q₈×C₁₃	—	4	2	no	—
552	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
553	C₂×D₄×C₁₃	—	2	4	no	—
554	C₂×D₄×C₁₃	—	4	2	no	—
555	C₂×D₄×C₁₃	—	4	2	no	—
556	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
557	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
558	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
559	C₂²×C₄×C₁₃	—	2	4	no	—
560	C₂²×C₄×C₁₃	—	4	2	no	—
561	C₂²×C₄×C₁₃	—	4	2	no	—
562	C₂²×C₄×C₁₃	—	4	2	no	—
563	C₂²×C₄×C₁₃	—	4	2	no	—
564	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
565	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
566	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
567	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
568	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
569	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
570	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
571	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
572	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
576	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
577	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
578	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
579	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
580	C₂×C₂²⋊D₁₃	—	2	4	no	—
581	C₂×C₂²⋊D₁₃	—	2	4	no	—
582	C₂×C₂²⋊D₁₃	—	2	4	no	—
583	C₂×C₂²⋊D₁₃	—	2	4	no	—
584	C₂×C₂²⋊D₁₃	—	4	2	no	—
585	C₂×C₂²⋊D₁₃	—	4	2	no	—
586	C₂×C₂²⋊D₁₃	—	4	2	no	—
587	C₂×C₂²⋊D₁₃	—	4	2	no	—
588	C₂×C₂²⋊D₁₃	—	4	2	no	—
589	C₂×C₂²⋊D₁₃	—	4	2	no	—
590	C₂×C₂²⋊D₁₃	—	4	16	no	—
591	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
592	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
593	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
594	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
595	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
596	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
597	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
598	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
599	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
600	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
601	C₂²×Dic₁₃	—	4	2	no	—
602	C₂²×Dic₁₃	—	4	2	no	—
603	C₂²×Dic₁₃	—	4	2	no	—
604	C₂²×Dic₁₃	—	4	2	no	—
605	C₂²×Dic₁₃	—	4	2	no	—
606	C₂²×Dic₁₃	—	4	2	no	—
607	C₂²×Dic₁₃	—	4	2	no	—
608	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
609	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
610	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
611	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
612	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
613	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
614	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
615	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
616	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
617	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
618	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
619	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
620	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
621	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
622	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
623	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
624	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
625	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
626	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
627	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
628	Q₈×D₁₃	—	4	16	no	—
629	#6129	—	4	16	no	—
630	#6127	—	4	16	no	—
631	#6127	—	4	16	no	—
632	C₂×D₅₂	—	2	4	no	—
633	C₂×D₅₂	—	4	2	no	—
634	C₂×D₅₂	C₂⁴	1	4	yes	—
635	C₂×D₅₂	C₂⁴	1	4	yes	—
636	C₂×C₄×D₁₃	—	2	4	no	—
637	C₂×C₄×D₁₃	—	2	4	no	—
638	C₂×C₄×D₁₃	—	2	4	no	—
639	C₂×C₄×D₁₃	—	2	4	no	—
640	C₂×C₄×D₁₃	—	4	16	no	—
641	C₂×C₄×D₁₃	—	4	2	no	—
642	C₂×C₄×D₁₃	—	4	2	no	—
643	C₂×C₄×D₁₃	—	4	2	no	—
644	C₂×C₄×D₁₃	—	4	2	no	—
645	C₂×C₄×D₁₃	—	4	2	no	—
646	C₂×C₄×D₁₃	—	4	2	no	—
647	C₂×C₄×D₁₃	—	4	2	no	—
648	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
649	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
650	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
651	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
652	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
653	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
654	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
655	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
656	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
657	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
658	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
659	C₂×Dic₂₆	—	4	2	no	—
660	C₂×Dic₂₆	—	4	2	no	—
661	C₂×Dic₂₆	—	4	2	no	—
662	C₂×Dic₂₆	—	4	2	no	—
663	C₂×Dic₂₆	—	4	2	no	—
664	C₂×Dic₂₆	—	4	2	no	—
665	C₂×Dic₂₆	—	4	2	no	—
666	C₂×Dic₂₆	—	4	2	no	—
667	C₂×Dic₂₆	C₂⁴	1	4	yes	—
668	C₂×Dic₂₆	C₂⁴	1	4	yes	—
669	C₂×Dic₂₆	C₂⁴	1	4	yes	—
670	C₂×Dic₂₆	C₂⁴	1	4	yes	—
671	C₂×Dic₂₆	C₂⁴	1	4	yes	—
672	C₂×Dic₂₆	C₂⁴	1	4	yes	—
673	C₂×Dic₂₆	C₂⁴	1	4	yes	—
674	C₂×Dic₂₆	C₂⁴	1	4	yes	—
675	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
676	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
677	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
678	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
679	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
680	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
681	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
682	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
683	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
684	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
685	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
686	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
687	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
688	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
689	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
690	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
691	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
692	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
693	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
694	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
695	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
696	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
697	C₄²×C₁₃	C₂⁴	1	4	yes	—
698	C₄²×C₁₃	C₂⁴	1	4	yes	—
699	C₄²×C₁₃	C₂⁴	1	4	yes	—
700	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
701	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
702	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
703	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
704	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
705	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
706	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
707	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
708	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
709	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
710	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
711	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
712	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
713	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
714	#6103	C₂⁴	1	4	yes	—
715	#6103	C₂⁴	1	4	yes	—
716	#6103	C₂⁴	1	4	yes	—
717	#6103	C₂⁴	1	4	yes	—
718	#6103	C₂⁴	1	4	yes	—
719	#6103	C₂⁴	1	4	yes	—
720	#6103	C₂⁴	1	4	yes	—
721	#6103	C₂⁴	1	4	yes	—
722	#6103	C₂⁴	1	4	yes	—
723	#6103	C₂⁴	1	4	yes	—
724	#6103	C₂⁴	1	4	yes	—
725	#6103	C₂⁴	1	4	yes	—
726	#6103	C₂⁴	1	4	yes	—
727	#6103	C₂⁴	1	4	yes	—
728	#6103	C₂⁴	1	4	yes	—
729	#6103	C₂⁴	1	4	yes	—
730	#6103	C₂⁴	1	4	yes	—
731	#6103	C₂⁴	1	4	yes	—
732	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
733	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
734	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
735	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
736	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
737	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
738	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
739	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
740	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
741	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
742	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
743	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
744	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
745	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
746	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
747	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
748	#6101	C₂⁴	1	4	yes	—
749	#6101	C₂⁴	1	4	yes	—
750	#6101	C₂⁴	1	4	yes	—
751	#6101	C₂⁴	1	4	yes	—
752	#6101	C₂⁴	1	4	yes	—
753	#6101	C₂⁴	1	4	yes	—
754	#6101	C₂⁴	1	4	yes	—
755	#6101	C₂⁴	1	4	yes	—
756	#6101	C₂⁴	1	4	yes	—
757	#6101	C₂⁴	1	4	yes	—
758	#6101	C₂⁴	1	4	yes	—
759	#6101	C₂⁴	1	4	yes	—
760	#6101	C₂⁴	1	4	yes	—
761	#6101	C₂⁴	1	4	yes	—
762	#6101	C₂⁴	1	4	yes	—
763	#6101	C₂⁴	1	4	yes	—
764	#6101	C₂⁴	1	4	yes	—
765	#6101	C₂⁴	1	4	yes	—
766	#6101	C₂⁴	1	4	yes	—
767	#6101	C₂⁴	1	4	yes	—
768	#6101	C₂⁴	1	4	yes	—
769	#6101	C₂⁴	1	4	yes	—
770	#6101	C₂⁴	1	4	yes	—
771	#6101	C₂⁴	1	4	yes	—
772	#6101	C₂⁴	1	4	yes	—
773	#6101	C₂⁴	1	4	yes	—
774	C₄×Dic₁₃	C₂⁴	1	4	yes	—
775	C₄×Dic₁₃	C₂⁴	1	4	yes	—
776	C₄×Dic₁₃	C₂⁴	1	4	yes	—
777	C₄×Dic₁₃	C₂⁴	1	4	yes	—
778	C₄×Dic₁₃	C₂⁴	1	4	yes	—
779	C₄×Dic₁₃	C₂⁴	1	4	yes	—
780	C₄×Dic₁₃	C₂⁴	1	4	yes	—
781	#3535	—	13	32	no	—
782	C₂×#563	—	13	1	no	—
783	C₂×#563	—	13	1	no	—
784	C₂×#562	—	13	1	no	—
785	C₂×#562	—	13	1	no	—
786	C₂×#554	—	13	1	no	—
787	C₂×#554	—	13	1	no	—
788	C₂×#552	—	13	1	no	—
789	C₂×#552	—	13	1	no	—
790	C₂×#551	—	13	1	no	—
791	C₂×#551	—	13	1	no	—
792	C₂×#551	—	13	1	no	—
793	C₂×#551	D₁₃	1	1	yes	characteristic, complemented
794	C₂×#547	—	13	1	no	—
795	C₂×#547	—	13	1	no	—
796	C₂×#546	—	13	1	no	—
797	C₂×#546	—	13	1	no	—
798	C₂×#544	—	13	1	no	—
799	C₂×#543	—	13	1	no	—
800	C₂×#542	—	13	1	no	—
801	C₂×#542	—	13	1	no	—
802	C₂×#539	—	13	1	no	—
803	C₂×#539	—	13	1	no	—
804	C₂×#539	—	13	1	no	—
805	C₂×#539	—	13	1	no	—
806	C₂×#539	—	13	1	no	—
807	C₂×#538	—	13	1	no	—
808	C₂×#536	—	13	1	no	—
809	C₂×#536	—	13	1	no	—
810	C₂×#525	—	13	1	no	—
811	C₂²×#123	—	13	1	no	—
812	C₂²×C₂²⋊Q₈	—	13	1	no	—
813	C₂³×C₁₃	—	2	2	no	—
814	C₂³×C₁₃	—	2	2	no	—
815	C₂³×C₁₃	—	2	2	no	—
816	C₂³×C₁₃	—	2	2	no	—
817	C₂³×C₁₃	—	2	2	no	—
818	C₂³×C₁₃	—	2	2	no	—
819	C₂³×C₁₃	—	2	2	no	—
820	C₂³×C₁₃	—	2	2	no	—
821	C₂³×C₁₃	—	2	2	no	—
822	C₂³×C₁₃	—	2	2	no	—
823	C₂³×C₁₃	—	2	2	no	—
824	C₂³×C₁₃	—	2	8	no	—
825	C₂³×C₁₃	—	4	4	no	—
826	C₂³×C₁₃	—	4	4	no	—
827	C₂³×C₁₃	—	8	8	no	—
828	C₂³×C₁₃	2₋¹⁺⁴	1	4	yes	—
829	C₂³×C₁₃	C₂⁵	1	2	yes	—
830	C₂³×C₁₃	C₂⁵	1	2	yes	—
831	C₂³×C₁₃	C₂⁵	1	2	yes	—
832	C₂³×C₁₃	C₂⁵	1	2	yes	—
833	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
834	C₂²×D₁₃	—	2	2	no	—
835	C₂²×D₁₃	—	2	2	no	—
836	C₂²×D₁₃	—	2	2	no	—
837	C₂²×D₁₃	—	2	2	no	—
838	C₂²×D₁₃	—	2	2	no	—
839	C₂²×D₁₃	—	2	8	no	—
840	C₂²×D₁₃	—	2	2	no	—
841	C₂²×D₁₃	—	2	2	no	—
842	C₂²×D₁₃	—	2	2	no	—
843	C₂²×D₁₃	—	2	8	no	—
844	C₂²×D₁₃	—	4	4	no	—
845	C₂²×D₁₃	—	4	16	no	—
846	C₂²×D₁₃	H(5,𝔽₂)	1	4	yes	—
847	C₂²×D₁₃	C₂⁵	1	2	yes	—
848	C₂²×D₁₃	C₂⁵	1	2	yes	—
849	C₂²×D₁₃	C₂⁵	1	2	yes	—
850	Q₈×C₁₃	—	4	4	no	—
851	D₄×C₁₃	—	2	8	no	—
852	D₄×C₁₃	—	4	4	no	—
853	D₄×C₁₃	—	4	4	no	—
854	C₂×C₄×C₁₃	—	2	2	no	—
855	C₂×C₄×C₁₃	—	2	2	no	—
856	C₂×C₄×C₁₃	—	2	2	no	—
857	C₂×C₄×C₁₃	—	2	2	no	—
858	C₂×C₄×C₁₃	—	2	2	no	—
859	C₂×C₄×C₁₃	—	2	8	no	—
860	C₂×C₄×C₁₃	—	2	2	no	—
861	C₂×C₄×C₁₃	—	2	2	no	—
862	C₂×C₄×C₁₃	—	2	2	no	—
863	C₂×C₄×C₁₃	—	2	2	no	—
864	C₂×C₄×C₁₃	—	2	2	no	—
865	C₂×C₄×C₁₃	—	2	2	no	—
866	C₂×C₄×C₁₃	—	4	4	no	—
867	C₂×C₄×C₁₃	—	4	4	no	—
868	C₂×C₄×C₁₃	—	4	4	no	—
869	C₂×C₄×C₁₃	—	4	4	no	—
870	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
871	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
872	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
873	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
874	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
875	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
876	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
877	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
878	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
879	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
880	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
881	C₂²⋊D₁₃	—	2	8	no	—
882	C₂²⋊D₁₃	—	2	8	no	—
883	C₂²⋊D₁₃	—	2	8	no	—
884	C₂²⋊D₁₃	—	2	8	no	—
885	C₂²⋊D₁₃	—	4	4	no	—
886	C₂²⋊D₁₃	—	4	4	no	—
887	C₂²⋊D₁₃	—	4	4	no	—
888	C₂²⋊D₁₃	—	4	4	no	—
889	C₂²⋊D₁₃	—	4	4	no	—
890	C₂²⋊D₁₃	—	4	4	no	—
891	C₂×Dic₁₃	—	2	2	no	—
892	C₂×Dic₁₃	—	2	2	no	—
893	C₂×Dic₁₃	—	2	2	no	—
894	C₂×Dic₁₃	—	2	2	no	—
895	C₂×Dic₁₃	—	2	2	no	—
896	C₂×Dic₁₃	—	2	2	no	—
897	C₂×Dic₁₃	—	2	2	no	—
898	C₂×Dic₁₃	—	2	2	no	—
899	C₂×Dic₁₃	—	2	2	no	—
900	C₂×Dic₁₃	—	2	2	no	—
901	C₂×Dic₁₃	—	2	2	no	—
902	C₂×Dic₁₃	—	2	2	no	—
903	C₂×Dic₁₃	—	2	2	no	—
904	C₂×Dic₁₃	—	4	4	no	—
905	C₂×Dic₁₃	—	4	4	no	—
906	C₂×Dic₁₃	—	4	4	no	—
907	C₂×Dic₁₃	—	4	4	no	—
908	C₂×Dic₁₃	—	4	4	no	—
909	C₂×Dic₁₃	—	4	4	no	—
910	C₂×Dic₁₃	—	4	4	no	—
911	C₂×Dic₁₃	C₂⁵	1	2	yes	—
912	C₂×Dic₁₃	C₂⁵	1	2	yes	—
913	C₂×Dic₁₃	C₂⁵	1	2	yes	—
914	C₂×Dic₁₃	C₂⁵	1	2	yes	—
915	C₂×Dic₁₃	C₂⁵	1	2	yes	—
916	C₂×Dic₁₃	C₂⁵	1	2	yes	—
917	C₂×Dic₁₃	C₂⁵	1	2	yes	—
918	C₂×Dic₁₃	C₂⁵	1	2	yes	—
919	C₂×Dic₁₃	C₂⁵	1	2	yes	—
920	C₂×Dic₁₃	C₂⁵	1	2	yes	—
921	C₂×Dic₁₃	C₂⁵	1	2	yes	—
922	C₂×Dic₁₃	C₂⁵	1	2	yes	—
923	C₂×Dic₁₃	C₂⁵	1	2	yes	—
924	D₅₂	—	2	8	no	—
925	D₅₂	—	4	4	no	—
926	C₄×D₁₃	—	2	8	no	—
927	C₄×D₁₃	—	2	8	no	—
928	C₄×D₁₃	—	2	8	no	—
929	C₄×D₁₃	—	2	8	no	—
930	C₄×D₁₃	—	4	4	no	—
931	C₄×D₁₃	—	4	4	no	—
932	C₄×D₁₃	—	4	4	no	—
933	C₄×D₁₃	—	4	4	no	—
934	C₄×D₁₃	—	4	4	no	—
935	C₄×D₁₃	—	4	4	no	—
936	C₄×D₁₃	—	4	4	no	—
937	Dic₂₆	—	4	4	no	—
938	Dic₂₆	—	4	4	no	—
939	Dic₂₆	—	4	4	no	—
940	Dic₂₆	—	4	4	no	—
941	Dic₂₆	—	4	4	no	—
942	Dic₂₆	—	4	4	no	—
943	Dic₂₆	—	4	4	no	—
944	Dic₂₆	—	4	4	no	—
945	C₂²×#41	—	13	1	no	—
946	C₂²×#41	—	13	1	no	—
947	C₂²×#41	—	13	1	no	—
948	C₂³×Q₈	—	13	1	no	—
949	C₂³×D₄	—	13	1	no	—
950	C₂⁴×C₄	—	13	1	no	—
951	#563	—	13	16	no	—
952	#563	—	13	16	no	—
953	#562	—	13	16	no	—
954	#562	—	13	16	no	—
955	#554	—	13	16	no	—
956	#554	—	13	16	no	—
957	#552	—	13	16	no	—
958	#552	—	13	16	no	—
959	#551	—	13	16	no	—
960	#551	—	13	16	no	—
961	#551	—	13	16	no	—
962	#551	C₂×D₁₃	1	16	yes	complemented
963	#547	—	13	16	no	—
964	#547	—	13	16	no	—
965	#546	—	13	16	no	—
966	#546	—	13	16	no	—
967	#544	—	13	16	no	—
968	#543	—	13	16	no	—
969	#542	—	13	16	no	—
970	#542	—	13	16	no	—
971	#539	—	13	16	no	—
972	#539	—	13	16	no	—
973	#539	—	13	16	no	—
974	#539	—	13	16	no	—
975	#539	—	13	16	no	—
976	#538	—	13	16	no	—
977	#536	—	13	16	no	—
978	#536	—	13	16	no	—
979	C₂×C₄⋊Q₈	—	13	1	no	—
980	C₂×C₄⋊Q₈	—	13	1	no	—
981	C₂×C₄⋊Q₈	—	13	1	no	—
982	C₂×C₄⋊Q₈	—	13	1	no	—
983	C₂×C₄⋊Q₈	—	13	1	no	—
984	C₂×C₄⋊Q₈	—	13	1	no	—
985	C₂×#126	—	13	1	no	—
986	C₂×#126	—	13	1	no	—
987	C₂×#126	—	13	1	no	—
988	C₂×#126	—	13	1	no	—
989	C₂×#126	—	13	1	no	—
990	C₂×#126	—	13	1	no	—
991	C₂×#126	—	13	1	no	—
992	C₂×#126	—	13	1	no	—
993	C₂×#126	—	13	1	no	—
994	C₂×#126	—	13	1	no	—
995	C₂×#126	C₂×D₁₃	1	1	yes	characteristic, complemented
996	C₂×#126	C₂×D₁₃	1	1	yes	characteristic, complemented
997	C₂×#125	—	13	1	no	—
998	C₂×#125	—	13	1	no	—
999	C₂×#125	—	13	1	no	—
1000	C₂×#125	—	13	1	no	—
1001	C₂×#125	—	13	1	no	—
1002	C₂×#125	—	13	1	no	—
1003	C₂×#125	—	13	1	no	—
1004	C₂×#125	—	13	1	no	—
1005	C₂×#125	—	13	1	no	—
1006	C₂×#125	—	13	1	no	—
1007	C₂×#124	—	13	1	no	—
1008	C₂×#124	—	13	1	no	—
1009	C₂×#124	—	13	1	no	—
1010	C₂×#124	—	13	1	no	—
1011	C₂×#124	—	13	1	no	—
1012	C₂×#124	—	13	1	no	—
1013	C₂×#124	—	13	1	no	—
1014	C₂×#124	C₂×D₁₃	1	1	yes	characteristic, complemented
1015	#525	—	13	16	no	—
1016	C₂×#123	—	13	1	no	—
1017	C₂×#123	—	13	1	no	—
1018	C₂×#123	—	13	1	no	—
1019	C₂×#123	—	13	1	no	—
1020	C₂×#123	—	13	1	no	—
1021	C₂×#123	—	13	1	no	—
1022	C₂×#123	—	13	1	no	—
1023	C₂×#123	—	13	1	no	—
1024	C₂×#123	—	13	1	no	—
1025	C₂×#123	—	13	1	no	—
1026	C₂×#123	—	13	1	no	—
1027	C₂×#123	—	13	1	no	—
1028	C₂×#123	—	13	1	no	—
1029	C₂×#123	—	13	1	no	—
1030	C₂×#123	—	13	1	no	—
1031	C₂×#123	—	13	1	no	—
1032	C₂×#123	—	13	16	no	—
1033	C₂×#123	—	13	1	no	—
1034	C₂×#123	—	13	1	no	—
1035	C₂×#123	—	13	1	no	—
1036	C₂×#123	—	13	1	no	—
1037	C₂×#123	—	13	1	no	—
1038	C₂×#123	—	13	1	no	—
1039	C₂×#123	—	13	1	no	—
1040	C₂×#123	—	13	1	no	—
1041	C₂×#123	—	13	1	no	—
1042	C₂×#123	C₂×D₁₃	1	1	yes	characteristic
1043	C₂×#123	C₂×D₁₃	1	1	yes	characteristic, complemented
1044	C₂×#123	C₂×D₁₃	1	1	yes	characteristic, complemented
1045	C₂×C₂²⋊Q₈	—	13	1	no	—
1046	C₂×C₂²⋊Q₈	—	13	1	no	—
1047	C₂×C₂²⋊Q₈	—	13	1	no	—
1048	C₂×C₂²⋊Q₈	—	13	1	no	—
1049	C₂×C₂²⋊Q₈	—	13	1	no	—
1050	C₂×C₂²⋊Q₈	—	13	1	no	—
1051	C₂×C₂²⋊Q₈	—	13	1	no	—
1052	C₂×C₂²⋊Q₈	—	13	1	no	—
1053	C₂×C₂²⋊Q₈	—	13	16	no	—
1054	C₂×C₂²⋊Q₈	—	13	1	no	—
1055	C₂×C₂²⋊Q₈	—	13	1	no	—
1056	C₂×C₂²⋊Q₈	—	13	1	no	—
1057	C₂×C₂²⋊Q₈	—	13	1	no	—
1058	C₂×C₂²⋊Q₈	—	13	1	no	—
1059	C₂×C₂²⋊Q₈	—	13	1	no	—
1060	C₂×C₂²⋊Q₈	—	13	1	no	—
1061	C₂×C₂²⋊Q₈	—	13	1	no	—
1062	C₂×C₂²⋊Q₈	—	13	1	no	—
1063	C₂×C₂²⋊Q₈	—	13	1	no	—
1064	C₂×C₂²⋊Q₈	—	13	1	no	—
1065	C₂×C₂²⋊Q₈	—	13	1	no	—
1066	C₂×C₂²⋊Q₈	—	13	1	no	—
1067	C₂×C₂²⋊Q₈	—	13	1	no	—
1068	C₂×C₂²⋊Q₈	—	13	1	no	—
1069	C₂×C₂²⋊Q₈	—	13	1	no	—
1070	C₂×C₂²⋊Q₈	—	13	1	no	—
1071	C₂×C₂²⋊Q₈	—	13	1	no	—
1072	C₂×C₂²⋊Q₈	—	13	1	no	—
1073	C₂×C₂²⋊Q₈	—	13	1	no	—
1074	C₂×C₂²⋊Q₈	—	13	1	no	—
1075	C₂×C₂²⋊Q₈	—	13	1	no	—
1076	C₂×C₂²⋊Q₈	—	13	1	no	—
1077	C₂×C₂²⋊Q₈	—	13	1	no	—
1078	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
1079	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1080	C₂×#121	—	13	1	no	—
1081	C₂×#121	—	13	1	no	—
1082	C₂×#121	—	13	1	no	—
1083	C₂×#121	—	13	1	no	—
1084	C₂×#121	—	13	1	no	—
1085	C₂×#121	—	13	1	no	—
1086	C₂×#121	—	13	1	no	—
1087	C₂×#121	—	13	1	no	—
1088	C₂×#121	—	13	1	no	—
1089	C₂×#121	—	13	1	no	—
1090	C₂×#120	—	13	1	no	—
1091	C₂×#120	—	13	1	no	—
1092	C₂×#120	—	13	1	no	—
1093	C₂×#120	C₂×D₁₃	1	1	yes	characteristic
1094	C₂×C₄×Q₈	—	13	1	no	—
1095	C₂×C₄×Q₈	—	13	1	no	—
1096	C₂×C₄×D₄	—	13	1	no	—
1097	C₂×C₄×D₄	—	13	1	no	—
1098	C₂×C₄×D₄	—	13	1	no	—
1099	C₂×C₄×D₄	—	13	1	no	—
1100	C₂×C₄×D₄	—	13	1	no	—
1101	C₂×C₄×D₄	—	13	1	no	—
1102	C₂×C₄×D₄	—	13	1	no	—
1103	C₂×C₄×D₄	—	13	1	no	—
1104	C₂×C₄×D₄	—	13	1	no	—
1105	C₂×C₄×D₄	—	13	1	no	—
1106	C₂×C₄×D₄	—	13	1	no	—
1107	C₂×C₄×D₄	—	13	1	no	—
1108	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
1109	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1110	C₂×#117	—	13	1	no	—
1111	C₂×#117	—	13	1	no	—
1112	C₂×#117	—	13	1	no	—
1113	C₂×#117	—	13	1	no	—
1114	C₂×#117	—	13	1	no	—
1115	C₂×#117	C₂×D₁₃	1	1	yes	characteristic
1116	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
1117	C₂²×C₄⋊C₄	—	13	1	no	—
1118	C₂²×C₄⋊C₄	—	13	1	no	—
1119	C₂²×C₄⋊C₄	—	13	1	no	—
1120	C₂²×C₄⋊C₄	—	13	1	no	—
1121	C₂²×C₄⋊C₄	—	13	1	no	—
1122	C₂²×C₄⋊C₄	—	13	1	no	—
1123	C₂²×C₄⋊C₄	—	13	1	no	—
1124	C₂²×C₂²⋊C₄	—	13	1	no	—
1125	C₂²×C₂²⋊C₄	—	13	1	no	—
1126	C₂²×C₂²⋊C₄	—	13	1	no	—
1127	C₂²×C₂²⋊C₄	—	13	1	no	—
1128	C₂²×C₂²⋊C₄	—	13	1	no	—
1129	C₂²×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
1130	C₂²×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
1131	C₂²×C₁₃	—	2	2	no	—
1132	C₂²×C₁₃	—	2	2	no	—
1133	C₂²×C₁₃	—	2	8	no	—
1134	C₂²×C₁₃	—	2	2	no	—
1135	C₂²×C₁₃	—	2	2	no	—
1136	C₂²×C₁₃	—	2	2	no	—
1137	C₂²×C₁₃	—	2	2	no	—
1138	C₂²×C₁₃	—	2	2	no	—
1139	C₂²×C₁₃	—	2	2	no	—
1140	C₂²×C₁₃	—	2	2	no	—
1141	C₂²×C₁₃	—	2	2	no	—
1142	C₂²×C₁₃	—	2	2	no	—
1143	C₂²×C₁₃	—	4	4	no	—
1144	C₂²×C₁₃	—	4	4	no	—
1145	C₂²×C₁₃	—	4	4	no	—
1146	C₂²×C₁₃	—	8	8	no	—
1147	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1148	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	4	yes	—
1149	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
1150	C₂²×C₁₃	#585	1	2	yes	—
1151	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
1152	C₂×D₁₃	—	2	2	no	—
1153	C₂×D₁₃	—	2	2	no	—
1154	C₂×D₁₃	—	2	8	no	—
1155	C₂×D₁₃	—	2	2	no	—
1156	C₂×D₁₃	—	2	2	no	—
1157	C₂×D₁₃	—	2	2	no	—
1158	C₂×D₁₃	—	2	2	no	—
1159	C₂×D₁₃	—	2	2	no	—
1160	C₂×D₁₃	—	2	2	no	—
1161	C₂×D₁₃	—	4	16	no	—
1162	C₂×D₁₃	—	4	4	no	—
1163	C₂×D₁₃	—	4	4	no	—
1164	C₂×D₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
1165	C₄×C₁₃	—	2	2	no	—
1166	C₄×C₁₃	—	2	2	no	—
1167	C₄×C₁₃	—	2	2	no	—
1168	C₄×C₁₃	—	2	2	no	—
1169	C₄×C₁₃	—	2	2	no	—
1170	C₄×C₁₃	—	2	2	no	—
1171	C₄×C₁₃	—	2	2	no	—
1172	C₄×C₁₃	—	2	2	no	—
1173	C₄×C₁₃	—	2	2	no	—
1174	C₄×C₁₃	—	2	2	no	—
1175	C₄×C₁₃	—	2	2	no	—
1176	Dic₁₃	—	2	2	no	—
1177	Dic₁₃	—	2	2	no	—
1178	Dic₁₃	—	2	2	no	—
1179	Dic₁₃	—	2	2	no	—
1180	Dic₁₃	—	2	2	no	—
1181	Dic₁₃	—	2	2	no	—
1182	Dic₁₃	—	2	2	no	—
1183	Dic₁₃	—	2	2	no	—
1184	Dic₁₃	—	2	2	no	—
1185	Dic₁₃	—	2	2	no	—
1186	Dic₁₃	—	2	2	no	—
1187	Dic₁₃	—	2	2	no	—
1188	Dic₁₃	—	2	2	no	—
1189	C₂⁵	—	13	1	no	—
1190	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
1191	C₂×#41	—	13	8	no	—
1192	C₂×#41	—	13	8	no	—
1193	C₂×#41	—	13	8	no	—
1194	C₂×#41	—	52	4	no	—
1195	C₂×#41	—	52	4	no	—
1196	C₂×#41	—	52	4	no	—
1197	C₂²×Q₈	—	13	8	no	—
1198	C₂²×Q₈	—	13	1	no	—
1199	C₂²×Q₈	—	13	1	no	—
1200	C₂²×Q₈	—	13	1	no	—
1201	C₂²×Q₈	—	13	1	no	—
1202	C₂²×Q₈	—	13	1	no	—
1203	C₂²×Q₈	—	13	1	no	—
1204	C₂²×Q₈	—	13	1	no	—
1205	C₂²×Q₈	—	13	1	no	—
1206	C₂²×Q₈	—	52	4	no	—
1207	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1208	C₂²×D₄	—	13	1	no	—
1209	C₂²×D₄	—	13	1	no	—
1210	C₂²×D₄	—	13	1	no	—
1211	C₂²×D₄	—	13	1	no	—
1212	C₂²×D₄	—	13	1	no	—
1213	C₂²×D₄	—	13	1	no	—
1214	C₂²×D₄	—	13	1	no	—
1215	C₂²×D₄	—	13	1	no	—
1216	C₂²×D₄	—	13	1	no	—
1217	C₂²×D₄	—	13	1	no	—
1218	C₂²×D₄	—	13	8	no	—
1219	C₂²×D₄	—	13	1	no	—
1220	C₂²×D₄	—	13	1	no	—
1221	C₂²×D₄	—	52	4	no	—
1222	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1223	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1224	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1225	C₂³×C₄	—	13	1	no	—
1226	C₂³×C₄	—	13	1	no	—
1227	C₂³×C₄	—	13	1	no	—
1228	C₂³×C₄	—	13	1	no	—
1229	C₂³×C₄	—	13	1	no	—
1230	C₂³×C₄	—	13	1	no	—
1231	C₂³×C₄	—	13	1	no	—
1232	C₂³×C₄	—	13	1	no	—
1233	C₂³×C₄	—	13	1	no	—
1234	C₂³×C₄	—	13	1	no	—
1235	C₂³×C₄	—	13	1	no	—
1236	C₂³×C₄	—	13	1	no	—
1237	C₂³×C₄	—	13	1	no	—
1238	C₂³×C₄	—	13	1	no	—
1239	C₂³×C₄	—	13	1	no	—
1240	C₂³×C₄	—	13	1	no	—
1241	C₂³×C₄	—	13	1	no	—
1242	C₂³×C₄	—	13	1	no	—
1243	C₂³×C₄	—	13	8	no	—
1244	C₂³×C₄	—	52	4	no	—
1245	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1246	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1247	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1248	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1249	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1250	C₄⋊Q₈	—	13	8	no	—
1251	C₄⋊Q₈	—	13	8	no	—
1252	C₄⋊Q₈	—	13	8	no	—
1253	C₄⋊Q₈	—	13	8	no	—
1254	C₄⋊Q₈	—	13	8	no	—
1255	C₄⋊Q₈	—	13	8	no	—
1256	#126	—	13	8	no	—
1257	#126	—	13	8	no	—
1258	#126	—	13	8	no	—
1259	#126	—	13	8	no	—
1260	#126	—	13	8	no	—
1261	#126	—	13	8	no	—
1262	#126	—	13	8	no	—
1263	#126	—	13	8	no	—
1264	#126	—	13	8	no	—
1265	#126	—	13	8	no	—
1266	#126	C₂²×D₁₃	1	8	yes	complemented
1267	#126	C₂²×D₁₃	1	8	yes	complemented
1268	#125	—	13	8	no	—
1269	#125	—	13	8	no	—
1270	#125	—	13	8	no	—
1271	#125	—	13	8	no	—
1272	#125	—	13	8	no	—
1273	#125	—	13	8	no	—
1274	#125	—	13	8	no	—
1275	#125	—	13	8	no	—
1276	#125	—	13	8	no	—
1277	#125	—	13	8	no	—
1278	#124	—	13	8	no	—
1279	#124	—	13	8	no	—
1280	#124	—	13	8	no	—
1281	#124	—	13	8	no	—
1282	#124	—	13	8	no	—
1283	#124	—	13	8	no	—
1284	#124	—	13	8	no	—
1285	#124	C₂²×D₁₃	1	8	yes	complemented
1286	#123	—	13	8	no	—
1287	#123	—	13	8	no	—
1288	#123	—	13	8	no	—
1289	#123	—	13	8	no	—
1290	#123	—	13	8	no	—
1291	#123	—	13	8	no	—
1292	#123	—	13	8	no	—
1293	#123	—	13	8	no	—
1294	#123	—	13	8	no	—
1295	#123	—	13	8	no	—
1296	#123	—	13	8	no	—
1297	#123	—	13	8	no	—
1298	#123	—	13	8	no	—
1299	#123	—	13	8	no	—
1300	#123	—	13	8	no	—
1301	#123	—	13	8	no	—
1302	#123	—	13	8	no	—
1303	#123	—	13	8	no	—
1304	#123	—	13	8	no	—
1305	#123	—	13	8	no	—
1306	#123	—	13	8	no	—
1307	#123	—	13	8	no	—
1308	#123	—	13	8	no	—
1309	#123	—	13	8	no	—
1310	#123	—	13	8	no	—
1311	#123	C₂²×D₁₃	1	8	yes	—
1312	#123	C₂²×D₁₃	1	8	yes	complemented
1313	#123	C₂²×D₁₃	1	8	yes	complemented
1314	C₂²⋊Q₈	—	13	8	no	—
1315	C₂²⋊Q₈	—	13	8	no	—
1316	C₂²⋊Q₈	—	13	8	no	—
1317	C₂²⋊Q₈	—	13	8	no	—
1318	C₂²⋊Q₈	—	13	8	no	—
1319	C₂²⋊Q₈	—	13	8	no	—
1320	C₂²⋊Q₈	—	13	8	no	—
1321	C₂²⋊Q₈	—	13	8	no	—
1322	C₂²⋊Q₈	—	13	8	no	—
1323	C₂²⋊Q₈	—	13	8	no	—
1324	C₂²⋊Q₈	—	13	8	no	—
1325	C₂²⋊Q₈	—	13	8	no	—
1326	C₂²⋊Q₈	—	13	8	no	—
1327	C₂²⋊Q₈	—	13	8	no	—
1328	C₂²⋊Q₈	—	13	8	no	—
1329	C₂²⋊Q₈	—	13	8	no	—
1330	C₂²⋊Q₈	—	13	8	no	—
1331	C₂²⋊Q₈	—	13	8	no	—
1332	C₂²⋊Q₈	—	13	8	no	—
1333	C₂²⋊Q₈	—	13	8	no	—
1334	C₂²⋊Q₈	—	13	8	no	—
1335	C₂²⋊Q₈	—	13	8	no	—
1336	C₂²⋊Q₈	—	13	8	no	—
1337	C₂²⋊Q₈	—	13	8	no	—
1338	C₂²⋊Q₈	—	13	8	no	—
1339	C₂²⋊Q₈	—	13	8	no	—
1340	C₂²⋊Q₈	—	13	8	no	—
1341	C₂²⋊Q₈	—	13	8	no	—
1342	C₂²⋊Q₈	—	13	8	no	—
1343	C₂²⋊Q₈	—	13	8	no	—
1344	C₂²⋊Q₈	—	13	8	no	—
1345	C₂²⋊Q₈	—	13	8	no	—
1346	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	—
1347	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
1348	#121	—	13	8	no	—
1349	#121	—	13	8	no	—
1350	#121	—	13	8	no	—
1351	#121	—	13	8	no	—
1352	#121	—	13	8	no	—
1353	#121	—	13	8	no	—
1354	#121	—	13	8	no	—
1355	#121	—	13	8	no	—
1356	#121	—	13	8	no	—
1357	#121	—	13	8	no	—
1358	#120	—	13	8	no	—
1359	#120	—	13	8	no	—
1360	#120	—	13	8	no	—
1361	#120	C₂²×D₁₃	1	8	yes	—
1362	C₄×Q₈	—	13	8	no	—
1363	C₄×Q₈	—	13	8	no	—
1364	C₄×D₄	—	13	8	no	—
1365	C₄×D₄	—	13	8	no	—
1366	C₄×D₄	—	13	8	no	—
1367	C₄×D₄	—	13	8	no	—
1368	C₄×D₄	—	13	8	no	—
1369	C₄×D₄	—	13	8	no	—
1370	C₄×D₄	—	13	8	no	—
1371	C₄×D₄	—	13	8	no	—
1372	C₄×D₄	—	13	8	no	—
1373	C₄×D₄	—	13	8	no	—
1374	C₄×D₄	—	13	8	no	—
1375	C₄×D₄	—	13	8	no	—
1376	C₄×D₄	C₂²×D₁₃	1	8	yes	—
1377	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1378	#117	—	13	8	no	—
1379	#117	—	13	8	no	—
1380	#117	—	13	8	no	—
1381	#117	—	13	8	no	—
1382	#117	—	13	8	no	—
1383	#117	C₂²×D₁₃	1	8	yes	—
1384	#117	C₂²×D₁₃	1	8	yes	complemented
1385	C₂×C₄⋊C₄	—	13	1	no	—
1386	C₂×C₄⋊C₄	—	13	1	no	—
1387	C₂×C₄⋊C₄	—	13	1	no	—
1388	C₂×C₄⋊C₄	—	13	1	no	—
1389	C₂×C₄⋊C₄	—	13	1	no	—
1390	C₂×C₄⋊C₄	—	13	1	no	—
1391	C₂×C₄⋊C₄	—	13	1	no	—
1392	C₂×C₄⋊C₄	—	13	1	no	—
1393	C₂×C₄⋊C₄	—	13	1	no	—
1394	C₂×C₄⋊C₄	—	13	1	no	—
1395	C₂×C₄⋊C₄	—	13	1	no	—
1396	C₂×C₄⋊C₄	—	13	1	no	—
1397	C₂×C₄⋊C₄	—	13	1	no	—
1398	C₂×C₄⋊C₄	—	13	1	no	—
1399	C₂×C₄⋊C₄	—	13	1	no	—
1400	C₂×C₄⋊C₄	—	13	1	no	—
1401	C₂×C₄⋊C₄	—	13	1	no	—
1402	C₂×C₄⋊C₄	—	13	1	no	—
1403	C₂×C₄⋊C₄	—	13	1	no	—
1404	C₂×C₄⋊C₄	—	13	1	no	—
1405	C₂×C₄⋊C₄	—	13	1	no	—
1406	C₂×C₄⋊C₄	—	13	8	no	—
1407	C₂×C₄⋊C₄	—	13	8	no	—
1408	C₂×C₄⋊C₄	—	13	8	no	—
1409	C₂×C₄⋊C₄	—	13	1	no	—
1410	C₂×C₄⋊C₄	—	13	1	no	—
1411	C₂×C₄⋊C₄	—	13	1	no	—
1412	C₂×C₄⋊C₄	—	13	1	no	—
1413	C₂×C₄⋊C₄	—	13	1	no	—
1414	C₂×C₄⋊C₄	—	13	1	no	—
1415	C₂×C₄⋊C₄	—	13	1	no	—
1416	C₂×C₄⋊C₄	—	13	1	no	—
1417	C₂×C₄⋊C₄	—	13	1	no	—
1418	C₂×C₄⋊C₄	—	13	1	no	—
1419	C₂×C₄⋊C₄	—	13	1	no	—
1420	C₂×C₄⋊C₄	—	13	1	no	—
1421	C₂×C₄⋊C₄	—	13	1	no	—
1422	C₂×C₄⋊C₄	—	13	1	no	—
1423	C₂×C₄⋊C₄	—	13	1	no	—
1424	C₂×C₄⋊C₄	—	13	1	no	—
1425	C₂×C₄⋊C₄	—	13	1	no	—
1426	C₂×C₄⋊C₄	—	13	1	no	—
1427	C₂×C₄⋊C₄	—	13	1	no	—
1428	C₂×C₄⋊C₄	—	13	1	no	—
1429	C₂×C₄⋊C₄	—	13	1	no	—
1430	C₂×C₄⋊C₄	—	13	8	no	—
1431	C₂×C₄⋊C₄	—	13	8	no	—
1432	C₂×C₄⋊C₄	—	13	8	no	—
1433	C₂×C₄⋊C₄	—	13	8	no	—
1434	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1435	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1436	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1437	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1438	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1439	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1440	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1441	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1442	C₂×C₂²⋊C₄	—	13	1	no	—
1443	C₂×C₂²⋊C₄	—	13	1	no	—
1444	C₂×C₂²⋊C₄	—	13	1	no	—
1445	C₂×C₂²⋊C₄	—	13	1	no	—
1446	C₂×C₂²⋊C₄	—	13	1	no	—
1447	C₂×C₂²⋊C₄	—	13	1	no	—
1448	C₂×C₂²⋊C₄	—	13	1	no	—
1449	C₂×C₂²⋊C₄	—	13	1	no	—
1450	C₂×C₂²⋊C₄	—	13	1	no	—
1451	C₂×C₂²⋊C₄	—	13	8	no	—
1452	C₂×C₂²⋊C₄	—	13	8	no	—
1453	C₂×C₂²⋊C₄	—	13	1	no	—
1454	C₂×C₂²⋊C₄	—	13	1	no	—
1455	C₂×C₂²⋊C₄	—	13	1	no	—
1456	C₂×C₂²⋊C₄	—	13	1	no	—
1457	C₂×C₂²⋊C₄	—	13	1	no	—
1458	C₂×C₂²⋊C₄	—	13	1	no	—
1459	C₂×C₂²⋊C₄	—	13	1	no	—
1460	C₂×C₂²⋊C₄	—	13	1	no	—
1461	C₂×C₂²⋊C₄	—	13	1	no	—
1462	C₂×C₂²⋊C₄	—	13	1	no	—
1463	C₂×C₂²⋊C₄	—	13	1	no	—
1464	C₂×C₂²⋊C₄	—	13	1	no	—
1465	C₂×C₂²⋊C₄	—	13	1	no	—
1466	C₂×C₂²⋊C₄	—	13	8	no	—
1467	C₂×C₂²⋊C₄	—	13	1	no	—
1468	C₂×C₂²⋊C₄	—	13	1	no	—
1469	C₂×C₂²⋊C₄	—	13	1	no	—
1470	C₂×C₂²⋊C₄	—	13	1	no	—
1471	C₂×C₂²⋊C₄	—	13	1	no	—
1472	C₂×C₂²⋊C₄	—	13	1	no	—
1473	C₂×C₂²⋊C₄	—	13	1	no	—
1474	C₂×C₂²⋊C₄	—	13	1	no	—
1475	C₂×C₂²⋊C₄	—	13	1	no	—
1476	C₂×C₂²⋊C₄	—	13	1	no	—
1477	C₂×C₂²⋊C₄	—	13	8	no	—
1478	C₂×C₂²⋊C₄	—	13	8	no	—
1479	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1480	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1481	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1482	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1483	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1484	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1485	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1486	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1487	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1488	C₂×C₂²⋊C₄	C₂²×D₁₃	1	8	yes	—
1489	C₂×C₂²⋊C₄	C₂²×D₁₃	1	8	yes	—
1490	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1491	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1492	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1493	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1494	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1495	C₂×C₄²	—	13	1	no	—
1496	C₂×C₄²	—	13	1	no	—
1497	C₂×C₄²	—	13	1	no	—
1498	C₂×C₄²	—	13	1	no	—
1499	C₂×C₄²	—	13	1	no	—
1500	C₂×C₄²	—	13	1	no	—
1501	C₂×C₄²	—	13	1	no	—
1502	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1503	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1504	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1505	C₂×C₁₃	—	2	4	no	—
1506	C₂×C₁₃	—	4	2	no	—
1507	C₂×C₁₃	—	4	2	no	—
1508	C₂×C₁₃	—	4	2	no	—
1509	C₂×C₁₃	#3535	1	4	yes	complemented
1510	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1511	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1512	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1513	D₁₃	—	2	4	no	—
1514	D₁₃	—	4	2	no	—
1515	D₁₃	—	4	2	no	—
1516	C₂⁴	—	2	4	no	—
1517	C₂⁴	—	4	2	no	—
1518	C₂⁴	—	4	2	no	—
1519	C₂⁴	—	13	1	no	—
1520	C₂⁴	—	13	1	no	—
1521	C₂⁴	—	13	1	no	—
1522	C₂⁴	—	13	4	no	—
1523	C₂⁴	—	26	4	no	—
1524	C₂⁴	—	26	4	no	—
1525	C₂⁴	—	52	2	no	—
1526	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1527	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1528	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1529	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1530	C₂⁴	C₂³×D₁₃	1	4	yes	—
1531	#41	—	52	16	no	—
1532	#41	—	52	16	no	—
1533	#41	—	52	16	no	—
1534	C₂×Q₈	—	4	2	no	—
1535	C₂×Q₈	—	13	4	no	—
1536	C₂×Q₈	—	13	4	no	—
1537	C₂×Q₈	—	13	4	no	—
1538	C₂×Q₈	—	13	4	no	—
1539	C₂×Q₈	—	13	4	no	—
1540	C₂×Q₈	—	13	4	no	—
1541	C₂×Q₈	—	13	4	no	—
1542	C₂×Q₈	—	13	4	no	—
1543	C₂×Q₈	—	52	2	no	—
1544	C₂×Q₈	—	52	2	no	—
1545	C₂×Q₈	—	52	2	no	—
1546	C₂×Q₈	—	52	2	no	—
1547	C₂×Q₈	—	52	2	no	—
1548	C₂×Q₈	—	52	2	no	—
1549	C₂×Q₈	—	52	2	no	—
1550	C₂×Q₈	—	52	2	no	—
1551	C₂×Q₈	—	52	16	no	—
1552	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1553	C₂×D₄	—	2	4	no	—
1554	C₂×D₄	—	4	2	no	—
1555	C₂×D₄	—	4	2	no	—
1556	C₂×D₄	—	13	4	no	—
1557	C₂×D₄	—	13	4	no	—
1558	C₂×D₄	—	13	4	no	—
1559	C₂×D₄	—	13	4	no	—
1560	C₂×D₄	—	13	4	no	—
1561	C₂×D₄	—	13	4	no	—
1562	C₂×D₄	—	13	4	no	—
1563	C₂×D₄	—	13	4	no	—
1564	C₂×D₄	—	13	4	no	—
1565	C₂×D₄	—	13	4	no	—
1566	C₂×D₄	—	13	4	no	—
1567	C₂×D₄	—	13	4	no	—
1568	C₂×D₄	—	26	4	no	—
1569	C₂×D₄	—	26	4	no	—
1570	C₂×D₄	—	26	4	no	—
1571	C₂×D₄	—	26	4	no	—
1572	C₂×D₄	—	26	4	no	—
1573	C₂×D₄	—	52	2	no	—
1574	C₂×D₄	—	52	2	no	—
1575	C₂×D₄	—	52	2	no	—
1576	C₂×D₄	—	52	2	no	—
1577	C₂×D₄	—	52	2	no	—
1578	C₂×D₄	—	52	2	no	—
1579	C₂×D₄	—	52	2	no	—
1580	C₂×D₄	—	52	16	no	—
1581	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1582	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1583	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1584	C₂²×C₄	—	2	4	no	—
1585	C₂²×C₄	—	4	2	no	—
1586	C₂²×C₄	—	4	2	no	—
1587	C₂²×C₄	—	4	2	no	—
1588	C₂²×C₄	—	4	2	no	—
1589	C₂²×C₄	—	13	1	no	—
1590	C₂²×C₄	—	13	1	no	—
1591	C₂²×C₄	—	13	1	no	—
1592	C₂²×C₄	—	13	1	no	—
1593	C₂²×C₄	—	13	1	no	—
1594	C₂²×C₄	—	13	1	no	—
1595	C₂²×C₄	—	13	1	no	—
1596	C₂²×C₄	—	13	1	no	—
1597	C₂²×C₄	—	13	1	no	—
1598	C₂²×C₄	—	13	1	no	—
1599	C₂²×C₄	—	13	1	no	—
1600	C₂²×C₄	—	13	1	no	—
1601	C₂²×C₄	—	13	1	no	—
1602	C₂²×C₄	—	13	4	no	—
1603	C₂²×C₄	—	13	4	no	—
1604	C₂²×C₄	—	13	4	no	—
1605	C₂²×C₄	—	13	4	no	—
1606	C₂²×C₄	—	13	4	no	—
1607	C₂²×C₄	—	13	4	no	—
1608	C₂²×C₄	—	13	4	no	—
1609	C₂²×C₄	—	13	4	no	—
1610	C₂²×C₄	—	13	4	no	—
1611	C₂²×C₄	—	13	4	no	—
1612	C₂²×C₄	—	13	4	no	—
1613	C₂²×C₄	—	13	4	no	—
1614	C₂²×C₄	—	13	4	no	—
1615	C₂²×C₄	—	13	4	no	—
1616	C₂²×C₄	—	13	4	no	—
1617	C₂²×C₄	—	13	4	no	—
1618	C₂²×C₄	—	13	4	no	—
1619	C₂²×C₄	—	13	4	no	—
1620	C₂²×C₄	—	26	4	no	—
1621	C₂²×C₄	—	26	4	no	—
1622	C₂²×C₄	—	26	4	no	—
1623	C₂²×C₄	—	26	4	no	—
1624	C₂²×C₄	—	52	2	no	—
1625	C₂²×C₄	—	52	2	no	—
1626	C₂²×C₄	—	52	2	no	—
1627	C₂²×C₄	—	52	2	no	—
1628	C₂²×C₄	—	52	2	no	—
1629	C₂²×C₄	—	52	2	no	—
1630	C₂²×C₄	—	52	2	no	—
1631	C₂²×C₄	—	52	16	no	—
1632	C₂²×C₄	—	52	2	no	—
1633	C₂²×C₄	—	52	2	no	—
1634	C₂²×C₄	—	52	2	no	—
1635	C₂²×C₄	—	52	2	no	—
1636	C₂²×C₄	—	52	2	no	—
1637	C₂²×C₄	—	52	2	no	—
1638	C₂²×C₄	—	52	2	no	—
1639	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1640	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1641	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1642	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1643	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1644	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1645	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1646	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1647	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1648	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1649	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1650	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1651	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1652	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1653	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1654	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1655	C₄⋊C₄	—	13	4	no	—
1656	C₄⋊C₄	—	13	4	no	—
1657	C₄⋊C₄	—	13	4	no	—
1658	C₄⋊C₄	—	13	4	no	—
1659	C₄⋊C₄	—	13	4	no	—
1660	C₄⋊C₄	—	13	4	no	—
1661	C₄⋊C₄	—	13	4	no	—
1662	C₄⋊C₄	—	13	4	no	—
1663	C₄⋊C₄	—	13	4	no	—
1664	C₄⋊C₄	—	13	4	no	—
1665	C₄⋊C₄	—	13	4	no	—
1666	C₄⋊C₄	—	13	4	no	—
1667	C₄⋊C₄	—	13	4	no	—
1668	C₄⋊C₄	—	13	4	no	—
1669	C₄⋊C₄	—	13	4	no	—
1670	C₄⋊C₄	—	13	4	no	—
1671	C₄⋊C₄	—	13	4	no	—
1672	C₄⋊C₄	—	13	4	no	—
1673	C₄⋊C₄	—	13	4	no	—
1674	C₄⋊C₄	—	13	4	no	—
1675	C₄⋊C₄	—	13	4	no	—
1676	C₄⋊C₄	—	13	4	no	—
1677	C₄⋊C₄	—	13	4	no	—
1678	C₄⋊C₄	—	13	4	no	—
1679	C₄⋊C₄	—	13	4	no	—
1680	C₄⋊C₄	—	13	4	no	—
1681	C₄⋊C₄	—	13	4	no	—
1682	C₄⋊C₄	—	13	4	no	—
1683	C₄⋊C₄	—	13	4	no	—
1684	C₄⋊C₄	—	13	4	no	—
1685	C₄⋊C₄	—	13	4	no	—
1686	C₄⋊C₄	—	13	4	no	—
1687	C₄⋊C₄	—	13	4	no	—
1688	C₄⋊C₄	—	13	4	no	—
1689	C₄⋊C₄	—	13	4	no	—
1690	C₄⋊C₄	—	13	4	no	—
1691	C₄⋊C₄	—	13	4	no	—
1692	C₄⋊C₄	—	13	4	no	—
1693	C₄⋊C₄	—	13	4	no	—
1694	C₄⋊C₄	—	13	4	no	—
1695	C₄⋊C₄	—	13	4	no	—
1696	C₄⋊C₄	—	13	4	no	—
1697	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1698	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1699	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1700	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1701	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1702	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1703	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1704	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1705	C₂²⋊C₄	—	13	4	no	—
1706	C₂²⋊C₄	—	13	4	no	—
1707	C₂²⋊C₄	—	13	4	no	—
1708	C₂²⋊C₄	—	13	4	no	—
1709	C₂²⋊C₄	—	13	4	no	—
1710	C₂²⋊C₄	—	13	4	no	—
1711	C₂²⋊C₄	—	13	4	no	—
1712	C₂²⋊C₄	—	13	4	no	—
1713	C₂²⋊C₄	—	13	4	no	—
1714	C₂²⋊C₄	—	13	4	no	—
1715	C₂²⋊C₄	—	13	4	no	—
1716	C₂²⋊C₄	—	13	4	no	—
1717	C₂²⋊C₄	—	13	4	no	—
1718	C₂²⋊C₄	—	13	4	no	—
1719	C₂²⋊C₄	—	13	4	no	—
1720	C₂²⋊C₄	—	13	4	no	—
1721	C₂²⋊C₄	—	13	4	no	—
1722	C₂²⋊C₄	—	13	4	no	—
1723	C₂²⋊C₄	—	13	4	no	—
1724	C₂²⋊C₄	—	13	4	no	—
1725	C₂²⋊C₄	—	13	4	no	—
1726	C₂²⋊C₄	—	13	4	no	—
1727	C₂²⋊C₄	—	13	4	no	—
1728	C₂²⋊C₄	—	13	4	no	—
1729	C₂²⋊C₄	—	13	4	no	—
1730	C₂²⋊C₄	—	13	4	no	—
1731	C₂²⋊C₄	—	13	4	no	—
1732	C₂²⋊C₄	—	13	4	no	—
1733	C₂²⋊C₄	—	13	4	no	—
1734	C₂²⋊C₄	—	13	4	no	—
1735	C₂²⋊C₄	—	13	4	no	—
1736	C₂²⋊C₄	—	13	4	no	—
1737	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1738	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1739	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1740	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1741	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1742	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1743	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1744	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1745	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1746	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1747	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1748	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1749	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1750	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1751	C₄²	—	13	4	no	—
1752	C₄²	—	13	4	no	—
1753	C₄²	—	13	4	no	—
1754	C₄²	—	13	4	no	—
1755	C₄²	—	13	4	no	—
1756	C₄²	—	13	4	no	—
1757	C₄²	—	13	4	no	—
1758	C₄²	C₂³×D₁₃	1	4	yes	—
1759	C₄²	C₂³×D₁₃	1	4	yes	—
1760	C₄²	C₂³×D₁₃	1	4	yes	—
1761	C₁₃	C₂×#3535	1	1	yes	characteristic, complemented, Sylow
1762	C₂³	—	2	2	no	—
1763	C₂³	—	2	2	no	—
1764	C₂³	—	2	2	no	—
1765	C₂³	—	2	2	no	—
1766	C₂³	—	2	2	no	—
1767	C₂³	—	2	2	no	—
1768	C₂³	—	2	2	no	—
1769	C₂³	—	2	2	no	—
1770	C₂³	—	2	2	no	—
1771	C₂³	—	2	2	no	—
1772	C₂³	—	2	2	no	—
1773	C₂³	—	2	8	no	—
1774	C₂³	—	4	4	no	—
1775	C₂³	—	4	4	no	—
1776	C₂³	—	8	8	no	—
1777	C₂³	—	13	4	no	—
1778	C₂³	—	13	2	no	—
1779	C₂³	—	13	2	no	—
1780	C₂³	—	13	2	no	—
1781	C₂³	—	26	8	no	—
1782	C₂³	—	26	2	no	—
1783	C₂³	—	26	2	no	—
1784	C₂³	—	26	2	no	—
1785	C₂³	—	26	8	no	—
1786	C₂³	—	26	2	no	—
1787	C₂³	—	26	2	no	—
1788	C₂³	—	26	2	no	—
1789	C₂³	—	26	2	no	—
1790	C₂³	—	26	2	no	—
1791	C₂³	—	52	4	no	—
1792	C₂³	—	52	16	no	—
1793	C₂³	#88257	1	4	yes	—
1794	C₂³	C₂⁴×D₁₃	1	2	yes	—
1795	C₂³	C₂⁴×D₁₃	1	2	yes	—
1796	C₂³	C₂⁴×D₁₃	1	2	yes	—
1797	C₂³	C₂⁴×D₁₃	1	2	yes	—
1798	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1799	Q₈	—	4	4	no	—
1800	Q₈	—	52	4	no	—
1801	Q₈	—	52	4	no	—
1802	Q₈	—	52	4	no	—
1803	Q₈	—	52	4	no	—
1804	Q₈	—	52	4	no	—
1805	Q₈	—	52	4	no	—
1806	Q₈	—	52	4	no	—
1807	Q₈	—	52	4	no	—
1808	D₄	—	2	8	no	—
1809	D₄	—	4	4	no	—
1810	D₄	—	4	4	no	—
1811	D₄	—	26	8	no	—
1812	D₄	—	26	8	no	—
1813	D₄	—	26	8	no	—
1814	D₄	—	26	8	no	—
1815	D₄	—	26	8	no	—
1816	D₄	—	52	4	no	—
1817	D₄	—	52	4	no	—
1818	D₄	—	52	4	no	—
1819	D₄	—	52	4	no	—
1820	D₄	—	52	4	no	—
1821	D₄	—	52	4	no	—
1822	D₄	—	52	4	no	—
1823	C₂×C₄	—	2	8	no	—
1824	C₂×C₄	—	2	2	no	—
1825	C₂×C₄	—	2	2	no	—
1826	C₂×C₄	—	2	2	no	—
1827	C₂×C₄	—	2	2	no	—
1828	C₂×C₄	—	2	2	no	—
1829	C₂×C₄	—	2	2	no	—
1830	C₂×C₄	—	2	2	no	—
1831	C₂×C₄	—	2	2	no	—
1832	C₂×C₄	—	2	2	no	—
1833	C₂×C₄	—	2	2	no	—
1834	C₂×C₄	—	2	2	no	—
1835	C₂×C₄	—	4	4	no	—
1836	C₂×C₄	—	4	4	no	—
1837	C₂×C₄	—	4	4	no	—
1838	C₂×C₄	—	4	4	no	—
1839	C₂×C₄	—	13	2	no	—
1840	C₂×C₄	—	13	2	no	—
1841	C₂×C₄	—	13	2	no	—
1842	C₂×C₄	—	13	2	no	—
1843	C₂×C₄	—	13	2	no	—
1844	C₂×C₄	—	13	2	no	—
1845	C₂×C₄	—	13	2	no	—
1846	C₂×C₄	—	13	2	no	—
1847	C₂×C₄	—	13	2	no	—
1848	C₂×C₄	—	13	2	no	—
1849	C₂×C₄	—	13	2	no	—
1850	C₂×C₄	—	13	2	no	—
1851	C₂×C₄	—	13	2	no	—
1852	C₂×C₄	—	26	8	no	—
1853	C₂×C₄	—	26	8	no	—
1854	C₂×C₄	—	26	8	no	—
1855	C₂×C₄	—	26	8	no	—
1856	C₂×C₄	—	26	2	no	—
1857	C₂×C₄	—	26	2	no	—
1858	C₂×C₄	—	26	2	no	—
1859	C₂×C₄	—	26	2	no	—
1860	C₂×C₄	—	26	2	no	—
1861	C₂×C₄	—	26	2	no	—
1862	C₂×C₄	—	26	2	no	—
1863	C₂×C₄	—	26	2	no	—
1864	C₂×C₄	—	26	2	no	—
1865	C₂×C₄	—	26	2	no	—
1866	C₂×C₄	—	26	2	no	—
1867	C₂×C₄	—	26	2	no	—
1868	C₂×C₄	—	26	2	no	—
1869	C₂×C₄	—	52	4	no	—
1870	C₂×C₄	—	52	4	no	—
1871	C₂×C₄	—	52	4	no	—
1872	C₂×C₄	—	52	4	no	—
1873	C₂×C₄	—	52	4	no	—
1874	C₂×C₄	—	52	4	no	—
1875	C₂×C₄	—	52	4	no	—
1876	C₂×C₄	—	52	4	no	—
1877	C₂×C₄	—	52	4	no	—
1878	C₂×C₄	—	52	4	no	—
1879	C₂×C₄	—	52	4	no	—
1880	C₂×C₄	—	52	4	no	—
1881	C₂×C₄	—	52	4	no	—
1882	C₂×C₄	—	52	4	no	—
1883	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1884	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1885	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1886	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1887	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1888	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1889	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1890	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1891	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1892	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1893	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1894	C₂²	—	2	8	no	—
1895	C₂²	—	2	2	no	—
1896	C₂²	—	2	2	no	—
1897	C₂²	—	2	2	no	—
1898	C₂²	—	2	2	no	—
1899	C₂²	—	2	2	no	—
1900	C₂²	—	2	2	no	—
1901	C₂²	—	2	2	no	—
1902	C₂²	—	2	2	no	—
1903	C₂²	—	2	2	no	—
1904	C₂²	—	2	2	no	—
1905	C₂²	—	2	2	no	—
1906	C₂²	—	4	4	no	—
1907	C₂²	—	4	4	no	—
1908	C₂²	—	4	4	no	—
1909	C₂²	—	8	8	no	—
1910	C₂²	—	13	4	no	—
1911	C₂²	—	26	8	no	—
1912	C₂²	—	26	2	no	—
1913	C₂²	—	26	2	no	—
1914	C₂²	—	26	2	no	—
1915	C₂²	—	26	2	no	—
1916	C₂²	—	26	2	no	—
1917	C₂²	—	26	2	no	—
1918	C₂²	—	26	2	no	—
1919	C₂²	—	26	2	no	—
1920	C₂²	—	52	16	no	—
1921	C₂²	—	52	4	no	—
1922	C₂²	—	52	4	no	—
1923	C₂²	C₂×#88257	1	4	yes	—
1924	C₂²	C₂×#88257	1	2	yes	—
1925	C₂²	#11719648	1	2	yes	—
1926	C₂²	D₁₃×H(5,𝔽₂)	1	2	yes	—
1927	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1928	C₄	—	2	2	no	—
1929	C₄	—	2	2	no	—
1930	C₄	—	2	2	no	—
1931	C₄	—	2	2	no	—
1932	C₄	—	2	2	no	—
1933	C₄	—	2	2	no	—
1934	C₄	—	2	2	no	—
1935	C₄	—	2	2	no	—
1936	C₄	—	2	2	no	—
1937	C₄	—	2	2	no	—
1938	C₄	—	2	2	no	—
1939	C₄	—	26	2	no	—
1940	C₄	—	26	2	no	—
1941	C₄	—	26	2	no	—
1942	C₄	—	26	2	no	—
1943	C₄	—	26	2	no	—
1944	C₄	—	26	2	no	—
1945	C₄	—	26	2	no	—
1946	C₄	—	26	2	no	—
1947	C₄	—	26	2	no	—
1948	C₄	—	26	2	no	—
1949	C₄	—	26	2	no	—
1950	C₄	—	26	2	no	—
1951	C₄	—	26	2	no	—
1952	C₂	—	2	4	no	—
1953	C₂	—	4	2	no	—
1954	C₂	—	4	2	no	—
1955	C₂	—	4	2	no	—
1956	C₂	—	26	4	no	—
1957	C₂	—	52	2	no	—
1958	C₂	—	52	2	no	—
1959	C₂	#13129032	1	4	yes	direct product factor
1960	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1961	C₂	C₂²×#88257	1	1	yes	characteristic
1962	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×#551	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#551	D₁₃
hypocenter	C₁₃	C₂×#3535
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#551

Complements

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

N	H ≅ G/N	type
1. #13129032	C₂	direct (N × H)
2. C₂×#11719417	C₂	semidirect
3. C₂×#11719351	C₂	semidirect
4. C₂×#11719372	C₂	semidirect
5. C₂×#11719389	C₂	semidirect
6. C₂×#11719244	C₂	semidirect
7. C₂×#11719341	C₂	semidirect
8. C₂×#11719234	C₂	semidirect
9. C₂×#11719413	C₂	semidirect
10. C₂×#11719200	C₂	semidirect
11. C₂×#11719232	C₂	semidirect
12. C₂×#11719363	C₂	semidirect
13. C₂×#11719256	C₂	semidirect
14. C₂×#11719360	C₂	semidirect
15. C₂×#11719195	C₂	semidirect
16. C₂×#11719296	C₂	semidirect
17. C₂×#11719224	C₂	semidirect
18. C₂×#11719188	C₂	semidirect
19. C₂×#11719239	C₂	semidirect
20. C₂×#11719367	C₂	semidirect
21. C₂×#11719370	C₂	semidirect
22. C₂×#11719365	C₂	semidirect
23. C₂×#11719269	C₂	semidirect
24. C₂×#11719412	C₂	semidirect
25. C₂×#11719412	C₂	semidirect
26. C₂×#11719298	C₂	semidirect
27. C₂×#11719333	C₂	semidirect
28. C₂×#11719380	C₂	semidirect
29. C₂×#11719252	C₂	semidirect
30. C₂²×#88137	C₂	semidirect
31. C₂×D₁₃×C₂²⋊Q₈	C₂	semidirect
32. C₂×C₁₃×#551	C₂	semidirect
34. C₂²×Q₈×D₁₃	C₂²	semidirect
37. C₂²×#6127	C₂²	semidirect
39. C₁₃×#551	C₂²	semidirect
40. C₂×C₁₃×#126	C₂²	semidirect
41. C₂×C₁₃×#126	C₂²	semidirect
42. C₂×C₁₃×#124	C₂²	semidirect
44. C₂×C₁₃×#123	C₂²	semidirect
45. C₂×C₁₃×#123	C₂²	semidirect
47. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
50. C₂×C₄×D₄×C₁₃	C₂²	semidirect
52. C₂×C₁₃×#117	C₂²	semidirect
58. C₂×#88200	C₂²	semidirect
59. C₂×#88200	C₂²	semidirect
60. C₂×#88198	C₂²	semidirect
64. C₂×#88193	C₂²	semidirect
66. C₂×#88192	C₂²	semidirect
68. C₂×#88190	C₂²	semidirect
69. C₂×#88189	C₂²	semidirect
77. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
82. C₂×#88178	C₂²	semidirect
83. C₂×#88178	C₂²	semidirect
84. C₂×#88178	C₂²	semidirect
85. C₂×#88178	C₂²	semidirect
86. C₂×#88178	C₂²	semidirect
88. C₂²×#6101	C₂²	semidirect
89. #11719417	C₂²	semidirect
90. #11719413	C₂²	semidirect
91. #11719412	C₂²	semidirect
92. #11719412	C₂²	semidirect
93. #11719389	C₂²	semidirect
94. #11719380	C₂²	semidirect
95. #11719372	C₂²	semidirect
96. #11719370	C₂²	semidirect
97. #11719367	C₂²	semidirect
98. #11719365	C₂²	semidirect
99. #11719363	C₂²	semidirect
100. #11719360	C₂²	semidirect
101. #11719351	C₂²	semidirect
102. #11719341	C₂²	semidirect
103. #11719333	C₂²	semidirect
104. D₁₃×C₂²⋊Q₈	C₂²	semidirect
105. #11719298	C₂²	semidirect
106. #11719296	C₂²	semidirect
107. #11719269	C₂²	semidirect
108. #11719256	C₂²	semidirect
109. #11719252	C₂²	semidirect
110. #11719244	C₂²	semidirect
111. #11719239	C₂²	semidirect
112. #11719234	C₂²	semidirect
113. #11719232	C₂²	semidirect
114. #11719224	C₂²	semidirect
115. C₂×#88152	C₂²	semidirect
116. C₂×#88152	C₂²	semidirect
117. C₂×#88152	C₂²	semidirect
118. C₂×#88152	C₂²	semidirect
119. C₂×#88151	C₂²	semidirect
120. C₂×#88151	C₂²	semidirect
121. C₂×#88151	C₂²	semidirect
122. C₂×#88150	C₂²	semidirect
123. C₂×#88150	C₂²	semidirect
124. C₂×#88150	C₂²	semidirect
125. C₂×#88150	C₂²	semidirect
126. C₂×#88150	C₂²	semidirect
127. C₂×#88150	C₂²	semidirect
128. C₂×#88148	C₂²	semidirect
129. C₂×#88148	C₂²	semidirect
130. C₂×#88148	C₂²	semidirect
131. C₂×#88146	C₂²	semidirect
132. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
133. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
134. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
135. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
136. C₂×#88144	C₂²	semidirect
137. C₂×#88144	C₂²	semidirect
138. C₂×#88144	C₂²	semidirect
139. C₂×#88144	C₂²	semidirect
140. C₂×#88143	C₂²	semidirect
141. C₂×#88143	C₂²	semidirect
142. C₂×#88143	C₂²	semidirect
143. C₂×#88142	C₂²	semidirect
144. C₂×#88142	C₂²	semidirect
145. C₂×#88142	C₂²	semidirect
146. C₂×#88141	C₂²	semidirect
147. #11719200	C₂²	semidirect
149. C₂×#88140	C₂²	semidirect
150. C₂×#88140	C₂²	semidirect
151. C₂×#88140	C₂²	semidirect
154. C₂×#88139	C₂²	semidirect
155. C₂×#88139	C₂²	semidirect
156. C₂×#88139	C₂²	semidirect
157. #11719195	C₂²	semidirect
160. C₂×#88138	C₂²	semidirect
171. C₂×#88137	C₂²	semidirect
172. C₂×#88137	C₂²	semidirect
173. C₂×#88137	C₂²	semidirect
174. C₂×#88137	C₂²	semidirect
175. C₂×#88137	C₂²	semidirect
176. C₂×#88137	C₂²	semidirect
181. C₂×#88135	C₂²	semidirect
182. C₂×#88135	C₂²	semidirect
185. #11719188	C₂²	semidirect
186. C₂×#88133	C₂²	semidirect
187. C₂×#88133	C₂²	semidirect
188. C₂×#88133	C₂²	semidirect
189. C₂×#88133	C₂²	semidirect
190. C₂×#88133	C₂²	semidirect
198. C₂×#88132	C₂²	semidirect
199. C₂×#88132	C₂²	semidirect
200. C₂×#88132	C₂²	semidirect
201. C₂×#88132	C₂²	semidirect
202. C₂×#88132	C₂²	semidirect
203. C₂×#88132	C₂²	semidirect
204. C₂×#88132	C₂²	semidirect
205. C₂×#88132	C₂²	semidirect
206. C₂×#88131	C₂²	semidirect
207. C₂×#88130	C₂²	semidirect
208. C₂×#88129	C₂²	semidirect
209. C₂×C₄×D₅₂	C₂²	semidirect
210. C₂×C₄×D₅₂	C₂²	semidirect
211. C₂×#88126	C₂²	semidirect
212. C₂×#88126	C₂²	semidirect
213. C₂×#88124	C₂²	semidirect
214. C₂×#88124	C₂²	semidirect
215. C₂×#88124	C₂²	semidirect
216. C₂×#88123	C₂²	semidirect
217. C₂×#88123	C₂²	semidirect
218. C₂×C₄×Dic₂₆	C₂²	semidirect
250. C₂×Q₈×D₁₃	C₂³	semidirect
256. C₂×#6127	C₂³	semidirect
280. C₁₃×#126	C₂³	semidirect
281. C₁₃×#126	C₂³	semidirect
282. C₁₃×#124	C₂³	semidirect
284. C₁₃×#123	C₂³	semidirect
285. C₁₃×#123	C₂³	semidirect
287. C₁₃×C₂²⋊Q₈	C₂³	semidirect
290. C₄×D₄×C₁₃	C₂³	semidirect
292. C₁₃×#117	C₂³	semidirect
337. #88200	C₂³	semidirect
338. #88200	C₂³	semidirect
339. #88198	C₂³	semidirect
343. #88193	C₂³	semidirect
345. #88192	C₂³	semidirect
347. #88190	C₂³	semidirect
348. #88189	C₂³	semidirect
356. C₄×C₂²⋊D₁₃	C₂³	semidirect
395. #88178	C₂³	semidirect
396. #88178	C₂³	semidirect
397. #88178	C₂³	semidirect
398. #88178	C₂³	semidirect
399. #88178	C₂³	semidirect
427. C₂×#6101	C₂³	semidirect
435. #88152	C₂³	semidirect
436. #88152	C₂³	semidirect
437. #88152	C₂³	semidirect
438. #88152	C₂³	semidirect
439. #88151	C₂³	semidirect
440. #88151	C₂³	semidirect
441. #88151	C₂³	semidirect
442. #88150	C₂³	semidirect
443. #88150	C₂³	semidirect
444. #88150	C₂³	semidirect
445. #88150	C₂³	semidirect
446. #88150	C₂³	semidirect
447. #88150	C₂³	semidirect
448. #88148	C₂³	semidirect
449. #88148	C₂³	semidirect
450. #88148	C₂³	semidirect
451. #88146	C₂³	semidirect
452. C₄⋊C₄×D₁₃	C₂³	semidirect
453. C₄⋊C₄×D₁₃	C₂³	semidirect
454. C₄⋊C₄×D₁₃	C₂³	semidirect
455. C₄⋊C₄×D₁₃	C₂³	semidirect
456. #88144	C₂³	semidirect
457. #88144	C₂³	semidirect
458. #88144	C₂³	semidirect
459. #88144	C₂³	semidirect
460. #88143	C₂³	semidirect
461. #88143	C₂³	semidirect
462. #88143	C₂³	semidirect
463. #88142	C₂³	semidirect
464. #88142	C₂³	semidirect
465. #88142	C₂³	semidirect
466. #88141	C₂³	semidirect
468. #88140	C₂³	semidirect
469. #88140	C₂³	semidirect
470. #88140	C₂³	semidirect
473. #88139	C₂³	semidirect
474. #88139	C₂³	semidirect
475. #88139	C₂³	semidirect
478. #88138	C₂³	semidirect
489. #88137	C₂³	semidirect
490. #88137	C₂³	semidirect
491. #88137	C₂³	semidirect
492. #88137	C₂³	semidirect
493. #88137	C₂³	semidirect
498. #88135	C₂³	semidirect
499. #88135	C₂³	semidirect
502. #88133	C₂³	semidirect
503. #88133	C₂³	semidirect
504. #88133	C₂³	semidirect
505. #88133	C₂³	semidirect
506. #88133	C₂³	semidirect
514. #88132	C₂³	semidirect
515. #88132	C₂³	semidirect
516. #88132	C₂³	semidirect
517. #88132	C₂³	semidirect
518. #88132	C₂³	semidirect
519. #88132	C₂³	semidirect
520. #88132	C₂³	semidirect
521. #88132	C₂³	semidirect
522. #88131	C₂³	semidirect
523. #88130	C₂³	semidirect
524. #88129	C₂³	semidirect
525. C₄×D₅₂	C₂³	semidirect
526. C₄×D₅₂	C₂³	semidirect
527. #88126	C₂³	semidirect
528. #88126	C₂³	semidirect
529. #88124	C₂³	semidirect
530. #88124	C₂³	semidirect
531. #88124	C₂³	semidirect
532. #88123	C₂³	semidirect
533. #88123	C₂³	semidirect
534. C₄×Dic₂₆	C₂³	semidirect
793. C₂×#551	D₁₃	semidirect
962. #551	C₂×D₁₃	semidirect
995. C₂×#126	C₂×D₁₃	semidirect
996. C₂×#126	C₂×D₁₃	semidirect
1014. C₂×#124	C₂×D₁₃	semidirect
1043. C₂×#123	C₂×D₁₃	semidirect
1044. C₂×#123	C₂×D₁₃	semidirect
1079. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
1109. C₂×C₄×D₄	C₂×D₁₃	semidirect
1116. C₂×#117	C₂×D₁₃	semidirect
1266. #126	C₂²×D₁₃	semidirect
1267. #126	C₂²×D₁₃	semidirect
1285. #124	C₂²×D₁₃	semidirect
1312. #123	C₂²×D₁₃	semidirect
1313. #123	C₂²×D₁₃	semidirect
1347. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1377. C₄×D₄	C₂²×D₁₃	semidirect
1384. #117	C₂²×D₁₃	semidirect
1509. C₂×C₁₃	#3535	semidirect
1761. C₁₃	C₂×#3535	semidirect
1959. C₂	#13129032	direct (N × H)

Maximal subgroups

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

subgroup	index
#13129032	2
C₂×#11719417	2
C₂×#11719351	2
C₂×#11719372	2
C₂×#11719389	2
C₂×#11719244	2
C₂×#11719341	2
C₂×#11719234	2
C₂×#11719413	2
C₂×#11719200	2
C₂×#11719232	2
C₂×#11719363	2
C₂×#11719256	2
C₂×#11719360	2
C₂×#11719195	2
C₂×#11719296	2
C₂×#11719224	2
C₂×#11719188	2
C₂×#11719239	2
C₂×#11719367	2
C₂×#11719370	2
C₂×#11719365	2
C₂×#11719269	2
C₂×#11719412	2
C₂×#11719298	2
C₂×#11719333	2
C₂×#11719380	2
C₂×#11719252	2
C₂²×#88137	2
C₂×D₁₃×C₂²⋊Q₈	2
C₂×C₁₃×#551	2
C₂×#3535	13

Subgroups — C2×#13129032 #16770118

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13129032 #16770118