Subgroups — C₂×#13128665 #16770837

Order 3328.

8082 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128665	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719323	C₂	1	2	yes	maximal, complemented
3	C₂×#11719219	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11719270	C₂	1	2	yes	maximal, complemented
5	C₂×#11719234	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11719399	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719410	C₂	1	2	yes	maximal, complemented
8	C₂×#11719363	C₂	1	2	yes	maximal, complemented
9	C₂×#11719257	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11719303	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719317	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719259	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719412	C₂	1	2	yes	maximal, complemented
14	C₂×#11719362	C₂	1	2	yes	maximal, complemented
15	C₂×#11719310	C₂	1	2	yes	maximal, complemented
16	C₂×#11719396	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#11719262	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#11719229	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#11719311	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#88151	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×D₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11719250	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#6129	C₂²	1	1	yes	characteristic, complemented
26	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
27	C₂²×D₄×D₁₃	C₂²	1	2	yes	—
28	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
29	C₂²×#6127	C₂²	1	1	yes	characteristic, complemented
30	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
31	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
32	C₂³×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#553	C₂²	1	16	yes	complemented
34	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
35	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
37	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
40	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
42	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88193	C₂²	1	2	yes	complemented
46	C₂×#88193	C₂²	1	2	yes	complemented
47	C₂×#88193	C₂²	1	2	yes	complemented
48	C₂×#88192	C₂²	1	1	yes	characteristic
49	C₂×#88192	C₂²	1	2	yes	complemented
50	C₂×#88191	C₂²	1	2	yes	—
51	C₂×#88191	C₂²	1	2	yes	complemented
52	C₂×#88190	C₂²	1	1	yes	characteristic, complemented
53	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
54	C₂×D₄×Dic₁₃	C₂²	1	2	yes	complemented
55	C₂×D₄×Dic₁₃	C₂²	1	2	yes	complemented
56	C₂×#88184	C₂²	1	2	yes	complemented
57	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
58	C₂×#88184	C₂²	1	2	yes	complemented
59	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
60	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
62	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
63	C₂²×#6103	C₂²	1	2	yes	—
64	C₂²×#6103	C₂²	1	2	yes	complemented
65	C₂×#88180	C₂²	1	2	yes	complemented
66	C₂²×C₄⋊Dic₁₃	C₂²	1	2	yes	complemented
67	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
68	#11719412	C₂²	1	32	yes	complemented
69	#11719410	C₂²	1	32	yes	complemented
70	#11719399	C₂²	1	16	yes	complemented
71	#11719396	C₂²	1	16	yes	complemented
72	#11719363	C₂²	1	32	yes	complemented
73	#11719362	C₂²	1	32	yes	complemented
74	#11719323	C₂²	1	32	yes	complemented
75	#11719317	C₂²	1	16	yes	complemented
76	#11719311	C₂²	1	16	yes	complemented
77	#11719310	C₂²	1	32	yes	complemented
78	D₁₃×#121	C₂²	1	16	yes	complemented
79	#11719303	C₂²	1	16	yes	complemented
80	#11719270	C₂²	1	32	yes	complemented
81	#11719262	C₂²	1	16	yes	complemented
82	#11719259	C₂²	1	16	yes	complemented
83	#11719257	C₂²	1	16	yes	complemented
84	#11719250	C₂²	1	32	yes	complemented
85	C₄×D₄×D₁₃	C₂²	1	16	yes	complemented
86	#11719234	C₂²	1	16	yes	complemented
87	#11719229	C₂²	1	16	yes	complemented
88	#11719219	C₂²	1	16	yes	complemented
89	C₂×#88152	C₂²	1	2	yes	complemented
90	C₂×#88152	C₂²	1	2	yes	complemented
91	C₂×#88152	C₂²	1	2	yes	complemented
92	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
93	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
94	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
95	C₂×#88151	C₂²	1	2	yes	complemented
96	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
97	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
98	C₂×#88151	C₂²	1	2	yes	complemented
99	C₂×#88151	C₂²	1	16	yes	complemented
100	C₂×#88150	C₂²	1	2	yes	complemented
101	C₂×#88149	C₂²	1	1	yes	characteristic
102	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
103	C₂×#88148	C₂²	1	2	yes	—
104	C₂×#88148	C₂²	1	2	yes	complemented
105	C₂×#88148	C₂²	1	2	yes	complemented
106	C₂×#88147	C₂²	1	1	yes	characteristic
107	C₂×#88147	C₂²	1	2	yes	complemented
108	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
109	C₂×#88146	C₂²	1	2	yes	complemented
110	C₂×#88146	C₂²	1	2	yes	complemented
111	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
112	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
114	C₂×#88144	C₂²	1	2	yes	complemented
115	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
116	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
117	C₂×#88140	C₂²	1	2	yes	complemented
118	C₂×#88140	C₂²	1	2	yes	complemented
119	C₂×#88139	C₂²	1	2	yes	complemented
120	C₂×#88139	C₂²	1	2	yes	complemented
121	C₂×#88138	C₂²	1	2	yes	—
122	C₂×#88137	C₂²	1	2	yes	—
123	C₂×#88137	C₂²	1	2	yes	complemented
124	C₂×#88137	C₂²	1	2	yes	complemented
125	C₂×#88137	C₂²	1	2	yes	complemented
126	C₂×#88136	C₂²	1	2	yes	—
127	C₂×#88136	C₂²	1	2	yes	complemented
128	C₂×#88135	C₂²	1	1	yes	characteristic
129	C₂×#88135	C₂²	1	1	yes	characteristic, complemented
130	C₂×#88135	C₂²	1	2	yes	complemented
131	C₂×#88135	C₂²	1	2	yes	complemented
132	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
133	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
135	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
136	C₂×#88133	C₂²	1	2	yes	complemented
137	C₂×#88133	C₂²	1	2	yes	complemented
138	C₂×#88132	C₂²	1	2	yes	complemented
139	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
140	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
141	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
142	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
143	C₂×#88126	C₂²	1	2	yes	complemented
144	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
145	C₂×#88124	C₂²	1	2	yes	complemented
146	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₁₃	C₂³	1	2	yes	—
148	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
149	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
150	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
151	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
152	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
153	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
154	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
155	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
156	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
157	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
159	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
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	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
165	C₂³×Dic₁₃	C₂³	1	2	yes	—
166	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
167	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
168	C₂³×Dic₁₃	C₂³	1	2	yes	—
169	C₂×#6129	—	4	4	no	—
170	C₂×#6129	C₂³	1	8	yes	complemented
171	C₂×D₄×D₁₃	—	2	8	no	—
172	C₂×D₄×D₁₃	—	2	16	no	—
173	C₂×D₄×D₁₃	—	4	4	no	—
174	C₂×D₄×D₁₃	C₂³	1	8	yes	—
175	C₂×D₄×D₁₃	C₂³	1	16	yes	—
176	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
177	C₂×#6127	—	4	4	no	—
178	C₂×#6127	C₂³	1	8	yes	complemented
179	C₂²×D₅₂	C₂³	1	1	yes	characteristic
180	C₂²×D₅₂	C₂³	1	2	yes	—
181	C₂²×D₅₂	C₂³	1	1	yes	characteristic
182	C₂²×D₅₂	C₂³	1	2	yes	—
183	C₂²×C₄×D₁₃	—	4	4	no	—
184	C₂²×C₄×D₁₃	—	4	4	no	—
185	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
186	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
187	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
188	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
193	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
197	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
198	C₂²×C₄×D₁₃	C₂³	1	8	yes	complemented
199	C₂²×Dic₂₆	—	4	4	no	—
200	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
201	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
202	C₂²×Dic₂₆	C₂³	1	2	yes	—
203	C₂²×Dic₂₆	C₂³	1	8	yes	complemented
204	C₁₃×#126	C₂³	1	16	yes	complemented
205	C₁₃×#125	C₂³	1	8	yes	complemented
206	C₁₃×#123	C₂³	1	16	yes	complemented
207	C₁₃×#121	C₂³	1	8	yes	complemented
208	C₁₃×#121	C₂³	1	16	yes	complemented
209	C₁₃×#121	C₂³	1	8	yes	complemented
210	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
211	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
212	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
213	C₁₃×#117	C₂³	1	8	yes	complemented
214	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
220	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
221	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	complemented
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
228	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
230	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
231	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
233	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
234	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
235	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
236	#88193	C₂³	1	16	yes	complemented
237	#88193	C₂³	1	16	yes	complemented
238	#88193	C₂³	1	16	yes	complemented
239	#88192	C₂³	1	8	yes	—
240	#88192	C₂³	1	16	yes	complemented
241	#88191	C₂³	1	16	yes	—
242	#88191	C₂³	1	16	yes	complemented
243	#88190	C₂³	1	8	yes	complemented
244	D₄×Dic₁₃	C₂³	1	8	yes	complemented
245	D₄×Dic₁₃	C₂³	1	16	yes	complemented
246	D₄×Dic₁₃	C₂³	1	16	yes	complemented
247	#88184	C₂³	1	8	yes	complemented
248	#88184	C₂³	1	16	yes	complemented
249	#88184	C₂³	1	16	yes	complemented
250	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
251	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
252	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
253	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
254	C₂×#6103	C₂³	1	1	yes	characteristic
255	C₂×#6103	C₂³	1	2	yes	—
256	C₂×#6103	C₂³	1	1	yes	characteristic
257	C₂×#6103	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	16	yes	—
271	C₂×#6103	C₂³	1	16	yes	complemented
272	#88180	C₂³	1	16	yes	complemented
273	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
275	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
276	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
278	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
279	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
280	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
281	C₂×C₄⋊Dic₁₃	C₂³	1	16	yes	complemented
282	#88178	C₂³	1	8	yes	complemented
283	C₂×#6101	C₂³	1	2	yes	—
284	C₂×#6101	C₂³	1	1	yes	characteristic
285	C₂×#6101	C₂³	1	2	yes	—
286	C₂×#6101	C₂³	1	2	yes	—
287	C₂×#6101	C₂³	1	2	yes	—
288	C₂×#6101	C₂³	1	2	yes	—
289	C₂×#6101	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
291	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
295	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
296	#88152	C₂³	1	16	yes	complemented
297	#88152	C₂³	1	16	yes	complemented
298	#88152	C₂³	1	16	yes	complemented
299	#88151	C₂³	1	8	yes	complemented
300	#88151	C₂³	1	8	yes	complemented
301	#88151	C₂³	1	8	yes	complemented
302	#88151	C₂³	1	8	yes	complemented
303	#88151	C₂³	1	16	yes	complemented
304	#88151	C₂³	1	16	yes	complemented
305	#88151	C₂³	1	8	yes	complemented
306	#88150	C₂³	1	16	yes	complemented
307	#88149	C₂³	1	8	yes	—
308	#88149	C₂³	1	8	yes	complemented
309	#88148	C₂³	1	16	yes	—
310	#88148	C₂³	1	16	yes	complemented
311	#88148	C₂³	1	16	yes	complemented
312	#88147	C₂³	1	8	yes	—
313	#88147	C₂³	1	8	yes	complemented
314	#88147	C₂³	1	16	yes	complemented
315	#88146	C₂³	1	8	yes	complemented
316	#88146	C₂³	1	16	yes	complemented
317	#88146	C₂³	1	16	yes	complemented
318	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
319	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
320	#88144	C₂³	1	8	yes	complemented
321	#88144	C₂³	1	16	yes	complemented
322	#88141	C₂³	1	8	yes	complemented
323	#88140	C₂³	1	16	yes	complemented
324	#88140	C₂³	1	16	yes	complemented
325	#88139	C₂³	1	16	yes	complemented
326	#88139	C₂³	1	16	yes	complemented
327	#88138	C₂³	1	16	yes	—
328	#88137	C₂³	1	16	yes	—
329	#88137	C₂³	1	16	yes	complemented
330	#88137	C₂³	1	16	yes	complemented
331	#88137	C₂³	1	16	yes	complemented
332	#88136	C₂³	1	16	yes	—
333	#88136	C₂³	1	16	yes	complemented
334	#88135	C₂³	1	8	yes	—
335	#88135	C₂³	1	8	yes	complemented
336	#88135	C₂³	1	16	yes	complemented
337	#88135	C₂³	1	16	yes	complemented
338	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
339	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
340	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
341	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
342	#88133	C₂³	1	16	yes	complemented
343	#88133	C₂³	1	16	yes	complemented
344	#88132	C₂³	1	16	yes	complemented
345	#88129	C₂³	1	8	yes	complemented
346	C₄×D₅₂	C₂³	1	8	yes	—
347	C₄×D₅₂	C₂³	1	16	yes	complemented
348	C₄×D₅₂	C₂³	1	16	yes	complemented
349	#88126	C₂³	1	16	yes	complemented
350	C₄²×D₁₃	C₂³	1	8	yes	complemented
351	#88124	C₂³	1	16	yes	complemented
352	C₄×Dic₂₆	C₂³	1	8	yes	complemented
353	C₂×#3505	—	13	1	no	maximal, Sylow
354	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
356	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₂³×D₁₃	—	2	4	no	—
358	C₂³×D₁₃	—	2	8	no	—
359	C₂³×D₁₃	—	4	2	no	—
360	C₂³×D₁₃	—	4	2	no	—
361	C₂³×D₁₃	—	4	2	no	—
362	C₂³×D₁₃	—	4	2	no	—
363	C₂³×D₁₃	—	4	4	no	—
364	C₂³×D₁₃	—	4	4	no	—
365	C₂³×D₁₃	#41	1	8	yes	complemented
366	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
367	C₂³×D₁₃	C₂⁴	1	2	yes	—
368	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
369	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
370	C₂³×D₁₃	C₂⁴	1	8	yes	—
371	C₂³×D₁₃	C₂⁴	1	4	yes	—
372	C₂³×D₁₃	C₂⁴	1	4	yes	—
373	C₂×D₄×C₁₃	—	2	4	no	—
374	C₂×D₄×C₁₃	—	2	8	no	—
375	C₂×D₄×C₁₃	—	2	4	no	—
376	C₂×D₄×C₁₃	—	4	4	no	—
377	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
378	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
379	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
380	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
381	C₂²×C₄×C₁₃	—	2	4	no	—
382	C₂²×C₄×C₁₃	—	2	4	no	—
383	C₂²×C₄×C₁₃	—	4	4	no	—
384	C₂²×C₄×C₁₃	—	4	4	no	—
385	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
388	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
389	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
393	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
394	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
395	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
396	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂×C₂²⋊D₁₃	—	2	4	no	—
398	C₂×C₂²⋊D₁₃	—	2	8	no	—
399	C₂×C₂²⋊D₁₃	—	2	4	no	—
400	C₂×C₂²⋊D₁₃	—	2	8	no	—
401	C₂×C₂²⋊D₁₃	—	4	4	no	—
402	C₂×C₂²⋊D₁₃	—	4	4	no	—
403	C₂×C₂²⋊D₁₃	—	4	4	no	—
404	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
405	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
406	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
407	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
408	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
409	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
410	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
411	C₂²×Dic₁₃	—	4	4	no	—
412	C₂²×Dic₁₃	—	4	2	no	—
413	C₂²×Dic₁₃	—	4	2	no	—
414	C₂²×Dic₁₃	—	4	4	no	—
415	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
417	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
421	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
422	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
424	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
425	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
426	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
427	#6129	—	4	16	no	—
428	D₄×D₁₃	—	2	32	no	—
429	D₄×D₁₃	—	2	64	no	—
430	D₄×D₁₃	—	4	16	no	—
431	#6127	—	4	16	no	—
432	C₂×D₅₂	—	2	4	no	—
433	C₂×D₅₂	—	2	8	no	—
434	C₂×D₅₂	—	2	4	no	—
435	C₂×D₅₂	—	4	4	no	—
436	C₂×D₅₂	C₂⁴	1	4	yes	—
437	C₂×D₅₂	C₂⁴	1	8	yes	—
438	C₂×D₅₂	C₂⁴	1	4	yes	—
439	C₂×D₅₂	C₂⁴	1	8	yes	—
440	C₂×C₄×D₁₃	—	2	8	no	—
441	C₂×C₄×D₁₃	—	2	4	no	—
442	C₂×C₄×D₁₃	—	2	4	no	—
443	C₂×C₄×D₁₃	—	2	4	no	—
444	C₂×C₄×D₁₃	—	2	4	no	—
445	C₂×C₄×D₁₃	—	4	16	no	—
446	C₂×C₄×D₁₃	—	4	16	no	—
447	C₂×C₄×D₁₃	—	4	2	no	—
448	C₂×C₄×D₁₃	—	4	2	no	—
449	C₂×C₄×D₁₃	—	4	2	no	—
450	C₂×C₄×D₁₃	—	4	2	no	—
451	C₂×C₄×D₁₃	—	4	2	no	—
452	C₂×C₄×D₁₃	—	4	4	no	—
453	C₂×C₄×D₁₃	—	4	4	no	—
454	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
455	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
456	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
457	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
458	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
459	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
460	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
461	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
462	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
463	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
464	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
465	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
466	C₂×Dic₂₆	—	2	4	no	—
467	C₂×Dic₂₆	—	2	4	no	—
468	C₂×Dic₂₆	—	4	16	no	—
469	C₂×Dic₂₆	—	4	4	no	—
470	C₂×Dic₂₆	C₂⁴	1	4	yes	—
471	C₂×Dic₂₆	C₂⁴	1	4	yes	—
472	C₂×Dic₂₆	C₂⁴	1	8	yes	—
473	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
474	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
475	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
476	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
477	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
478	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
479	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
480	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
481	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
482	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
483	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
484	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
485	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
486	C₄²×C₁₃	C₂⁴	1	4	yes	—
487	C₄²×C₁₃	C₂⁴	1	8	yes	—
488	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
489	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
490	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
491	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
492	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
493	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
494	#6103	C₂⁴	1	4	yes	—
495	#6103	C₂⁴	1	8	yes	—
496	#6103	C₂⁴	1	4	yes	—
497	#6103	C₂⁴	1	4	yes	—
498	#6103	C₂⁴	1	8	yes	—
499	#6103	C₂⁴	1	8	yes	—
500	#6103	C₂⁴	1	8	yes	—
501	#6103	C₂⁴	1	8	yes	—
502	#6103	C₂⁴	1	8	yes	—
503	#6103	C₂⁴	1	8	yes	—
504	#6103	C₂⁴	1	8	yes	—
505	#6103	C₂⁴	1	4	yes	—
506	#6103	C₂⁴	1	8	yes	—
507	#6103	C₂⁴	1	8	yes	—
508	#6103	C₂⁴	1	8	yes	—
509	#6103	C₂⁴	1	8	yes	—
510	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
511	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
512	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
513	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
514	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
515	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
516	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
517	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
518	#6101	C₂⁴	1	8	yes	—
519	#6101	C₂⁴	1	4	yes	—
520	#6101	C₂⁴	1	8	yes	—
521	#6101	C₂⁴	1	8	yes	—
522	#6101	C₂⁴	1	8	yes	—
523	#6101	C₂⁴	1	8	yes	—
524	#6101	C₂⁴	1	4	yes	—
525	C₄×Dic₁₃	C₂⁴	1	8	yes	—
526	C₄×Dic₁₃	C₂⁴	1	4	yes	—
527	C₄×Dic₁₃	C₂⁴	1	4	yes	—
528	C₄×Dic₁₃	C₂⁴	1	4	yes	—
529	C₄×Dic₁₃	C₂⁴	1	8	yes	—
530	C₄×Dic₁₃	C₂⁴	1	8	yes	—
531	#3505	—	13	32	no	—
532	C₂×#553	—	13	2	no	—
533	C₂×#553	—	13	2	no	—
534	C₂×#553	—	13	1	no	—
535	C₂×#553	D₁₃	1	1	yes	characteristic, complemented
536	C₂×#552	—	13	1	no	—
537	C₂×#552	—	13	1	no	—
538	C₂×#551	—	13	2	no	—
539	C₂×#551	—	13	2	no	—
540	C₂×#548	—	13	1	no	—
541	C₂×#548	—	13	1	no	—
542	C₂×#546	—	13	1	no	—
543	C₂×#546	—	13	1	no	—
544	C₂×#539	—	13	2	no	—
545	C₂×#538	—	13	2	no	—
546	C₂×#534	—	13	2	no	—
547	C₂×#529	—	13	1	no	—
548	C₂×#529	—	13	1	no	—
549	C₂×#525	—	13	1	no	—
550	C₂×#525	—	13	1	no	—
551	C₂²×C₂²⋊Q₈	—	13	1	no	—
552	C₂²×#121	—	13	1	no	—
553	C₂×#518	—	13	2	no	—
554	C₂²×C₄×D₄	—	13	1	no	—
555	C₂³×C₁₃	—	2	2	no	—
556	C₂³×C₁₃	—	2	2	no	—
557	C₂³×C₁₃	—	2	2	no	—
558	C₂³×C₁₃	—	2	4	no	—
559	C₂³×C₁₃	—	2	2	no	—
560	C₂³×C₁₃	—	2	4	no	—
561	C₂³×C₁₃	—	2	4	no	—
562	C₂³×C₁₃	—	2	2	no	—
563	C₂³×C₁₃	C₂×#41	1	4	yes	—
564	C₂³×C₁₃	C₂⁵	1	2	yes	—
565	C₂³×C₁₃	C₂⁵	1	4	yes	—
566	C₂³×C₁₃	C₂⁵	1	2	yes	—
567	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
568	C₂²×D₁₃	—	2	2	no	—
569	C₂²×D₁₃	—	2	2	no	—
570	C₂²×D₁₃	—	2	2	no	—
571	C₂²×D₁₃	—	2	2	no	—
572	C₂²×D₁₃	—	2	2	no	—
573	C₂²×D₁₃	—	2	4	no	—
574	C₂²×D₁₃	—	2	2	no	—
575	C₂²×D₁₃	—	2	4	no	—
576	C₂²×D₁₃	—	2	4	no	—
577	C₂²×D₁₃	—	2	2	no	—
578	C₂²×D₁₃	—	2	8	no	—
579	C₂²×D₁₃	—	2	16	no	—
580	C₂²×D₁₃	—	4	4	no	—
581	C₂²×D₁₃	—	4	4	no	—
582	C₂²×D₁₃	—	4	16	no	—
583	C₂²×D₁₃	—	4	4	no	—
584	C₂²×D₁₃	—	4	4	no	—
585	C₂²×D₁₃	—	4	8	no	—
586	C₂²×D₁₃	—	4	8	no	—
587	C₂²×D₁₃	—	4	16	no	—
588	C₂²×D₁₃	—	8	16	no	—
589	C₂²×D₁₃	C₂×#41	1	4	yes	—
590	C₂²×D₁₃	C₂×#41	1	4	yes	—
591	C₂²×D₁₃	C₂×#41	1	16	yes	complemented
592	C₂²×D₁₃	C₂⁵	1	2	yes	—
593	C₂²×D₁₃	C₂⁵	1	4	yes	—
594	C₂²×D₁₃	C₂⁵	1	2	yes	—
595	C₂²×D₁₃	C₂⁵	1	2	yes	—
596	D₄×C₁₃	—	2	8	no	—
597	D₄×C₁₃	—	2	16	no	—
598	D₄×C₁₃	—	2	8	no	—
599	D₄×C₁₃	—	4	8	no	—
600	C₂×C₄×C₁₃	—	2	4	no	—
601	C₂×C₄×C₁₃	—	2	2	no	—
602	C₂×C₄×C₁₃	—	2	2	no	—
603	C₂×C₄×C₁₃	—	2	2	no	—
604	C₂×C₄×C₁₃	—	2	2	no	—
605	C₂×C₄×C₁₃	—	2	4	no	—
606	C₂×C₄×C₁₃	—	2	4	no	—
607	C₂×C₄×C₁₃	—	2	8	no	—
608	C₂×C₄×C₁₃	—	2	8	no	—
609	C₂×C₄×C₁₃	—	4	8	no	—
610	C₂×C₄×C₁₃	—	4	8	no	—
611	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
612	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
613	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
614	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
615	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
616	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
617	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
618	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
619	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
620	C₂²⋊D₁₃	—	2	8	no	—
621	C₂²⋊D₁₃	—	2	16	no	—
622	C₂²⋊D₁₃	—	2	8	no	—
623	C₂²⋊D₁₃	—	2	16	no	—
624	C₂²⋊D₁₃	—	4	8	no	—
625	C₂²⋊D₁₃	—	4	8	no	—
626	C₂²⋊D₁₃	—	4	8	no	—
627	C₂×Dic₁₃	—	2	4	no	—
628	C₂×Dic₁₃	—	2	2	no	—
629	C₂×Dic₁₃	—	2	4	no	—
630	C₂×Dic₁₃	—	2	4	no	—
631	C₂×Dic₁₃	—	2	2	no	—
632	C₂×Dic₁₃	—	2	2	no	—
633	C₂×Dic₁₃	—	2	2	no	—
634	C₂×Dic₁₃	—	2	2	no	—
635	C₂×Dic₁₃	—	4	8	no	—
636	C₂×Dic₁₃	—	4	4	no	—
637	C₂×Dic₁₃	—	4	4	no	—
638	C₂×Dic₁₃	—	4	8	no	—
639	C₂×Dic₁₃	C₂⁵	1	2	yes	—
640	C₂×Dic₁₃	C₂⁵	1	4	yes	—
641	C₂×Dic₁₃	C₂⁵	1	2	yes	—
642	C₂×Dic₁₃	C₂⁵	1	2	yes	—
643	C₂×Dic₁₃	C₂⁵	1	2	yes	—
644	C₂×Dic₁₃	C₂⁵	1	4	yes	—
645	C₂×Dic₁₃	C₂⁵	1	4	yes	—
646	C₂×Dic₁₃	C₂⁵	1	2	yes	—
647	D₅₂	—	2	8	no	—
648	D₅₂	—	2	16	no	—
649	D₅₂	—	2	8	no	—
650	D₅₂	—	4	8	no	—
651	C₄×D₁₃	—	2	16	no	—
652	C₄×D₁₃	—	2	8	no	—
653	C₄×D₁₃	—	2	8	no	—
654	C₄×D₁₃	—	2	8	no	—
655	C₄×D₁₃	—	2	8	no	—
656	C₄×D₁₃	—	4	4	no	—
657	C₄×D₁₃	—	4	4	no	—
658	C₄×D₁₃	—	4	4	no	—
659	C₄×D₁₃	—	4	4	no	—
660	C₄×D₁₃	—	4	4	no	—
661	C₄×D₁₃	—	4	8	no	—
662	C₄×D₁₃	—	4	8	no	—
663	Dic₂₆	—	2	8	no	—
664	Dic₂₆	—	2	8	no	—
665	Dic₂₆	—	4	8	no	—
666	C₂²×#41	—	13	1	no	—
667	C₂²×#41	—	13	1	no	—
668	C₂³×Q₈	—	13	1	no	—
669	C₂³×D₄	—	13	1	no	—
670	C₂³×D₄	—	13	2	no	—
671	C₂³×D₄	—	13	1	no	—
672	C₂⁴×C₄	—	13	1	no	—
673	C₂⁴×C₄	—	13	1	no	—
674	#553	—	13	32	no	—
675	#553	—	13	32	no	—
676	#553	—	13	16	no	—
677	#553	C₂×D₁₃	1	16	yes	complemented
678	#552	—	13	16	no	—
679	#552	—	13	16	no	—
680	#551	—	13	32	no	—
681	#551	—	13	32	no	—
682	#548	—	13	16	no	—
683	#548	—	13	16	no	—
684	#546	—	13	16	no	—
685	#546	—	13	16	no	—
686	#539	—	13	32	no	—
687	#538	—	13	32	no	—
688	#534	—	13	32	no	—
689	#529	—	13	16	no	—
690	#529	—	13	16	no	—
691	C₂×#126	—	13	2	no	—
692	C₂×#126	—	13	2	no	—
693	C₂×#126	—	13	2	no	—
694	C₂×#126	—	13	2	no	—
695	C₂×#126	—	13	2	no	—
696	C₂×#126	C₂×D₁₃	1	2	yes	complemented
697	C₂×#125	—	13	1	no	—
698	C₂×#125	—	13	2	no	—
699	C₂×#125	—	13	2	no	—
700	C₂×#125	C₂×D₁₃	1	1	yes	characteristic, complemented
701	C₂×#124	—	13	1	no	—
702	C₂×#124	—	13	2	no	—
703	C₂×#124	—	13	2	no	—
704	C₂×#124	—	13	1	no	—
705	#525	—	13	16	no	—
706	#525	—	13	16	no	—
707	C₂×#123	—	13	2	no	—
708	C₂×#123	—	13	2	no	—
709	C₂×#123	—	13	2	no	—
710	C₂×#123	—	13	2	no	—
711	C₂×#123	—	13	2	no	—
712	C₂×#123	—	13	2	no	—
713	C₂×#123	—	13	2	no	—
714	C₂×#123	—	13	2	no	—
715	C₂×#123	—	13	2	no	—
716	C₂×#123	C₂×D₁₃	1	2	yes	complemented
717	C₂×C₂²⋊Q₈	—	13	1	no	—
718	C₂×C₂²⋊Q₈	—	13	2	no	—
719	C₂×C₂²⋊Q₈	—	13	1	no	—
720	C₂×C₂²⋊Q₈	—	13	1	no	—
721	C₂×C₂²⋊Q₈	—	13	2	no	—
722	C₂×C₂²⋊Q₈	—	13	1	no	—
723	C₂×C₂²⋊Q₈	—	13	1	no	—
724	C₂×C₂²⋊Q₈	—	13	2	no	—
725	C₂×C₂²⋊Q₈	—	13	1	no	—
726	C₂×C₂²⋊Q₈	—	13	16	no	—
727	C₂×C₂²⋊Q₈	—	13	2	no	—
728	C₂×#121	—	13	1	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	1	no	—
734	C₂×#121	—	13	2	no	—
735	C₂×#121	—	13	2	no	—
736	C₂×#121	—	13	16	no	—
737	C₂×#121	—	13	1	no	—
738	C₂×#121	—	13	1	no	—
739	C₂×#121	—	13	2	no	—
740	C₂×#121	C₂×D₁₃	1	1	yes	characteristic, complemented
741	C₂×#121	C₂×D₁₃	1	1	yes	characteristic, complemented
742	C₂×#121	C₂×D₁₃	1	2	yes	complemented
743	C₂×#120	—	13	2	no	—
744	C₂×#120	—	13	2	no	—
745	C₂×#120	—	13	2	no	—
746	C₂×#120	—	13	2	no	—
747	#518	—	13	32	no	—
748	C₂×C₄×Q₈	—	13	1	no	—
749	C₂×C₄×Q₈	—	13	1	no	—
750	C₂×C₄×D₄	—	13	1	no	—
751	C₂×C₄×D₄	—	13	2	no	—
752	C₂×C₄×D₄	—	13	2	no	—
753	C₂×C₄×D₄	—	13	1	no	—
754	C₂×C₄×D₄	—	13	1	no	—
755	C₂×C₄×D₄	—	13	2	no	—
756	C₂×C₄×D₄	—	13	2	no	—
757	C₂×C₄×D₄	—	13	16	no	—
758	C₂×C₄×D₄	—	13	1	no	—
759	C₂×C₄×D₄	—	13	2	no	—
760	C₂×C₄×D₄	—	13	1	no	—
761	C₂×C₄×D₄	—	13	1	no	—
762	C₂×C₄×D₄	—	13	1	no	—
763	C₂×C₄×D₄	—	13	2	no	—
764	C₂×C₄×D₄	—	13	2	no	—
765	C₂×C₄×D₄	—	13	1	no	—
766	C₂×C₄×D₄	—	13	2	no	—
767	C₂×C₄×D₄	—	13	2	no	—
768	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
769	C₂×C₄×D₄	C₂×D₁₃	1	2	yes	complemented
770	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
771	C₂×#117	—	13	2	no	—
772	C₂×#117	—	13	2	no	—
773	C₂×#117	—	13	1	no	—
774	C₂×#117	—	13	2	no	—
775	C₂×#117	—	13	2	no	—
776	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
777	C₂²×C₄⋊C₄	—	13	2	no	—
778	C₂²×C₄⋊C₄	—	13	1	no	—
779	C₂²×C₄⋊C₄	—	13	1	no	—
780	C₂²×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
781	C₂²×C₂²⋊C₄	—	13	2	no	—
782	C₂²×C₂²⋊C₄	—	13	2	no	—
783	C₂²×C₂²⋊C₄	—	13	1	no	—
784	C₂²×C₂²⋊C₄	—	13	1	no	—
785	C₂²×C₂²⋊C₄	—	13	2	no	—
786	C₂²×C₂²⋊C₄	—	13	2	no	—
787	C₂²×C₄²	—	13	1	no	—
788	C₂²×C₁₃	—	2	2	no	—
789	C₂²×C₁₃	—	2	2	no	—
790	C₂²×C₁₃	—	2	8	no	—
791	C₂²×C₁₃	—	2	2	no	—
792	C₂²×C₁₃	—	2	4	no	—
793	C₂²×C₁₃	—	2	2	no	—
794	C₂²×C₁₃	—	2	4	no	—
795	C₂²×C₁₃	—	2	4	no	—
796	C₂²×C₁₃	—	2	2	no	—
797	C₂²×C₁₃	—	4	4	no	—
798	C₂²×C₁₃	—	4	8	no	—
799	C₂²×C₁₃	C₂²×#41	1	4	yes	—
800	C₂²×C₁₃	C₂²×#41	1	2	yes	—
801	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
802	C₂²×C₁₃	#585	1	2	yes	—
803	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
804	C₂×D₁₃	—	2	2	no	—
805	C₂×D₁₃	—	2	2	no	—
806	C₂×D₁₃	—	2	2	no	—
807	C₂×D₁₃	—	2	2	no	—
808	C₂×D₁₃	—	2	8	no	—
809	C₂×D₁₃	—	2	8	no	—
810	C₂×D₁₃	—	2	2	no	—
811	C₂×D₁₃	—	2	4	no	—
812	C₂×D₁₃	—	2	2	no	—
813	C₂×D₁₃	—	2	4	no	—
814	C₂×D₁₃	—	2	4	no	—
815	C₂×D₁₃	—	2	2	no	—
816	C₂×D₁₃	—	4	16	no	—
817	C₂×D₁₃	—	4	16	no	—
818	C₂×D₁₃	—	4	4	no	—
819	C₂×D₁₃	—	4	8	no	—
820	C₂×D₁₃	—	8	16	no	—
821	C₂×D₁₃	C₂²×#41	1	4	yes	—
822	C₂×D₁₃	C₂²×#41	1	4	yes	—
823	C₄×C₁₃	—	2	4	no	—
824	C₄×C₁₃	—	2	2	no	—
825	C₄×C₁₃	—	2	2	no	—
826	C₄×C₁₃	—	2	2	no	—
827	C₄×C₁₃	—	2	2	no	—
828	C₄×C₁₃	—	2	4	no	—
829	C₄×C₁₃	—	2	4	no	—
830	C₄×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
831	Dic₁₃	—	2	4	no	—
832	Dic₁₃	—	2	2	no	—
833	Dic₁₃	—	2	4	no	—
834	Dic₁₃	—	2	4	no	—
835	Dic₁₃	—	2	2	no	—
836	Dic₁₃	—	2	2	no	—
837	Dic₁₃	—	2	2	no	—
838	Dic₁₃	—	2	2	no	—
839	C₂⁵	—	13	1	no	—
840	C₂⁵	—	13	2	no	—
841	C₂⁵	—	13	1	no	—
842	C₂×#41	—	13	8	no	—
843	C₂×#41	—	13	8	no	—
844	C₂×#41	—	52	4	no	—
845	C₂×#41	—	52	4	no	—
846	C₂²×Q₈	—	13	1	no	—
847	C₂²×Q₈	—	13	1	no	—
848	C₂²×Q₈	—	13	2	no	—
849	C₂²×Q₈	—	13	8	no	—
850	C₂²×Q₈	—	52	4	no	—
851	C₂²×D₄	—	13	1	no	—
852	C₂²×D₄	—	13	2	no	—
853	C₂²×D₄	—	13	1	no	—
854	C₂²×D₄	—	13	2	no	—
855	C₂²×D₄	—	13	2	no	—
856	C₂²×D₄	—	13	2	no	—
857	C₂²×D₄	—	13	2	no	—
858	C₂²×D₄	—	13	8	no	—
859	C₂²×D₄	—	13	16	no	—
860	C₂²×D₄	—	13	8	no	—
861	C₂²×D₄	—	13	1	no	—
862	C₂²×D₄	—	13	2	no	—
863	C₂²×D₄	—	13	1	no	—
864	C₂²×D₄	—	13	2	no	—
865	C₂²×D₄	—	26	8	no	—
866	C₂²×D₄	—	26	16	no	—
867	C₂²×D₄	—	52	4	no	—
868	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
869	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
870	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
871	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
872	C₂³×C₄	—	13	2	no	—
873	C₂³×C₄	—	13	2	no	—
874	C₂³×C₄	—	13	1	no	—
875	C₂³×C₄	—	13	1	no	—
876	C₂³×C₄	—	13	2	no	—
877	C₂³×C₄	—	13	1	no	—
878	C₂³×C₄	—	13	1	no	—
879	C₂³×C₄	—	13	1	no	—
880	C₂³×C₄	—	13	1	no	—
881	C₂³×C₄	—	13	1	no	—
882	C₂³×C₄	—	13	1	no	—
883	C₂³×C₄	—	13	1	no	—
884	C₂³×C₄	—	13	1	no	—
885	C₂³×C₄	—	13	2	no	—
886	C₂³×C₄	—	13	2	no	—
887	C₂³×C₄	—	13	1	no	—
888	C₂³×C₄	—	13	8	no	—
889	C₂³×C₄	—	13	8	no	—
890	C₂³×C₄	—	52	4	no	—
891	C₂³×C₄	—	52	4	no	—
892	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
893	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
894	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
895	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
896	#126	—	13	16	no	—
897	#126	—	13	16	no	—
898	#126	—	13	16	no	—
899	#126	—	13	16	no	—
900	#126	—	13	16	no	—
901	#126	C₂²×D₁₃	1	16	yes	complemented
902	#125	—	13	8	no	—
903	#125	—	13	16	no	—
904	#125	—	13	16	no	—
905	#125	C₂²×D₁₃	1	8	yes	complemented
906	#124	—	13	8	no	—
907	#124	—	13	16	no	—
908	#124	—	13	16	no	—
909	#124	—	13	8	no	—
910	#123	—	13	16	no	—
911	#123	—	13	16	no	—
912	#123	—	13	16	no	—
913	#123	—	13	16	no	—
914	#123	—	13	16	no	—
915	#123	—	13	16	no	—
916	#123	—	13	16	no	—
917	#123	—	13	16	no	—
918	#123	—	13	16	no	—
919	#123	C₂²×D₁₃	1	16	yes	complemented
920	C₂²⋊Q₈	—	13	8	no	—
921	C₂²⋊Q₈	—	13	8	no	—
922	C₂²⋊Q₈	—	13	8	no	—
923	C₂²⋊Q₈	—	13	16	no	—
924	C₂²⋊Q₈	—	13	8	no	—
925	C₂²⋊Q₈	—	13	8	no	—
926	C₂²⋊Q₈	—	13	16	no	—
927	C₂²⋊Q₈	—	13	8	no	—
928	C₂²⋊Q₈	—	13	16	no	—
929	C₂²⋊Q₈	—	13	16	no	—
930	#121	—	13	8	no	—
931	#121	—	13	16	no	—
932	#121	—	13	16	no	—
933	#121	—	13	16	no	—
934	#121	—	13	16	no	—
935	#121	—	13	8	no	—
936	#121	—	13	16	no	—
937	#121	—	13	16	no	—
938	#121	—	13	8	no	—
939	#121	—	13	8	no	—
940	#121	—	13	16	no	—
941	#121	C₂²×D₁₃	1	8	yes	complemented
942	#121	C₂²×D₁₃	1	8	yes	complemented
943	#121	C₂²×D₁₃	1	16	yes	complemented
944	#120	—	13	16	no	—
945	#120	—	13	16	no	—
946	#120	—	13	16	no	—
947	#120	—	13	16	no	—
948	C₄×Q₈	—	13	8	no	—
949	C₄×Q₈	—	13	8	no	—
950	C₄×D₄	—	13	8	no	—
951	C₄×D₄	—	13	16	no	—
952	C₄×D₄	—	13	16	no	—
953	C₄×D₄	—	13	8	no	—
954	C₄×D₄	—	13	8	no	—
955	C₄×D₄	—	13	16	no	—
956	C₄×D₄	—	13	16	no	—
957	C₄×D₄	—	13	8	no	—
958	C₄×D₄	—	13	16	no	—
959	C₄×D₄	—	13	8	no	—
960	C₄×D₄	—	13	8	no	—
961	C₄×D₄	—	13	8	no	—
962	C₄×D₄	—	13	16	no	—
963	C₄×D₄	—	13	16	no	—
964	C₄×D₄	—	13	8	no	—
965	C₄×D₄	—	13	16	no	—
966	C₄×D₄	—	13	16	no	—
967	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
968	C₄×D₄	C₂²×D₁₃	1	16	yes	complemented
969	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
970	#117	—	13	16	no	—
971	#117	—	13	16	no	—
972	#117	—	13	8	no	—
973	#117	—	13	16	no	—
974	#117	—	13	16	no	—
975	#117	C₂²×D₁₃	1	8	yes	complemented
976	C₂×C₄⋊C₄	—	13	2	no	—
977	C₂×C₄⋊C₄	—	13	2	no	—
978	C₂×C₄⋊C₄	—	13	1	no	—
979	C₂×C₄⋊C₄	—	13	1	no	—
980	C₂×C₄⋊C₄	—	13	1	no	—
981	C₂×C₄⋊C₄	—	13	1	no	—
982	C₂×C₄⋊C₄	—	13	2	no	—
983	C₂×C₄⋊C₄	—	13	2	no	—
984	C₂×C₄⋊C₄	—	13	2	no	—
985	C₂×C₄⋊C₄	—	13	16	no	—
986	C₂×C₄⋊C₄	—	13	2	no	—
987	C₂×C₄⋊C₄	—	13	2	no	—
988	C₂×C₄⋊C₄	—	13	2	no	—
989	C₂×C₄⋊C₄	—	13	2	no	—
990	C₂×C₄⋊C₄	—	13	2	no	—
991	C₂×C₄⋊C₄	—	13	2	no	—
992	C₂×C₄⋊C₄	—	13	8	no	—
993	C₂×C₄⋊C₄	—	13	8	no	—
994	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
998	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
999	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
1000	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
1001	C₂×C₄⋊C₄	C₂²×D₁₃	1	8	yes	complemented
1002	C₂×C₂²⋊C₄	—	13	2	no	—
1003	C₂×C₂²⋊C₄	—	13	1	no	—
1004	C₂×C₂²⋊C₄	—	13	1	no	—
1005	C₂×C₂²⋊C₄	—	13	2	no	—
1006	C₂×C₂²⋊C₄	—	13	2	no	—
1007	C₂×C₂²⋊C₄	—	13	2	no	—
1008	C₂×C₂²⋊C₄	—	13	1	no	—
1009	C₂×C₂²⋊C₄	—	13	1	no	—
1010	C₂×C₂²⋊C₄	—	13	2	no	—
1011	C₂×C₂²⋊C₄	—	13	2	no	—
1012	C₂×C₂²⋊C₄	—	13	2	no	—
1013	C₂×C₂²⋊C₄	—	13	2	no	—
1014	C₂×C₂²⋊C₄	—	13	2	no	—
1015	C₂×C₂²⋊C₄	—	13	1	no	—
1016	C₂×C₂²⋊C₄	—	13	2	no	—
1017	C₂×C₂²⋊C₄	—	13	2	no	—
1018	C₂×C₂²⋊C₄	—	13	1	no	—
1019	C₂×C₂²⋊C₄	—	13	16	no	—
1020	C₂×C₂²⋊C₄	—	13	16	no	—
1021	C₂×C₂²⋊C₄	—	13	2	no	—
1022	C₂×C₂²⋊C₄	—	13	2	no	—
1023	C₂×C₂²⋊C₄	—	13	2	no	—
1024	C₂×C₂²⋊C₄	—	13	2	no	—
1025	C₂×C₂²⋊C₄	—	13	2	no	—
1026	C₂×C₂²⋊C₄	—	13	8	no	—
1027	C₂×C₂²⋊C₄	—	13	8	no	—
1028	C₂×C₂²⋊C₄	—	13	16	no	—
1029	C₂×C₂²⋊C₄	—	13	16	no	—
1030	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1032	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1034	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1035	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1036	C₂×C₄²	—	13	2	no	—
1037	C₂×C₄²	—	13	2	no	—
1038	C₂×C₄²	—	13	2	no	—
1039	C₂×C₄²	—	13	1	no	—
1040	C₂×C₄²	—	13	1	no	—
1041	C₂×C₄²	—	13	1	no	—
1042	C₂×C₄²	—	13	8	no	—
1043	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
1044	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1045	C₂×C₁₃	—	2	4	no	—
1046	C₂×C₁₃	—	4	2	no	—
1047	C₂×C₁₃	—	4	4	no	—
1048	C₂×C₁₃	#3505	1	4	yes	complemented
1049	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1050	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1051	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1052	D₁₃	—	2	4	no	—
1053	D₁₃	—	2	4	no	—
1054	D₁₃	—	4	2	no	—
1055	D₁₃	—	4	4	no	—
1056	C₂⁴	—	13	1	no	—
1057	C₂⁴	—	13	1	no	—
1058	C₂⁴	—	13	8	no	—
1059	C₂⁴	—	13	4	no	—
1060	C₂⁴	—	13	1	no	—
1061	C₂⁴	—	13	2	no	—
1062	C₂⁴	—	13	8	no	—
1063	C₂⁴	—	13	4	no	—
1064	C₂⁴	—	26	4	no	—
1065	C₂⁴	—	26	8	no	—
1066	C₂⁴	—	52	2	no	—
1067	C₂⁴	—	52	2	no	—
1068	C₂⁴	—	52	2	no	—
1069	C₂⁴	—	52	2	no	—
1070	C₂⁴	—	52	4	no	—
1071	C₂⁴	—	52	4	no	—
1072	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1073	C₂⁴	C₂³×D₁₃	1	2	yes	—
1074	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1075	#41	—	52	16	no	—
1076	#41	—	52	16	no	—
1077	C₂×Q₈	—	13	4	no	—
1078	C₂×Q₈	—	13	4	no	—
1079	C₂×Q₈	—	13	8	no	—
1080	C₂×Q₈	—	26	4	no	—
1081	C₂×Q₈	—	26	4	no	—
1082	C₂×Q₈	—	52	4	no	—
1083	C₂×Q₈	—	52	16	no	—
1084	C₂×D₄	—	2	4	no	—
1085	C₂×D₄	—	2	8	no	—
1086	C₂×D₄	—	2	4	no	—
1087	C₂×D₄	—	4	4	no	—
1088	C₂×D₄	—	13	4	no	—
1089	C₂×D₄	—	13	8	no	—
1090	C₂×D₄	—	13	4	no	—
1091	C₂×D₄	—	13	8	no	—
1092	C₂×D₄	—	13	8	no	—
1093	C₂×D₄	—	13	8	no	—
1094	C₂×D₄	—	13	8	no	—
1095	C₂×D₄	—	13	4	no	—
1096	C₂×D₄	—	13	8	no	—
1097	C₂×D₄	—	13	4	no	—
1098	C₂×D₄	—	13	8	no	—
1099	C₂×D₄	—	26	4	no	—
1100	C₂×D₄	—	26	8	no	—
1101	C₂×D₄	—	26	32	no	—
1102	C₂×D₄	—	26	64	no	—
1103	C₂×D₄	—	26	4	no	—
1104	C₂×D₄	—	26	8	no	—
1105	C₂×D₄	—	26	4	no	—
1106	C₂×D₄	—	26	8	no	—
1107	C₂×D₄	—	26	4	no	—
1108	C₂×D₄	—	52	4	no	—
1109	C₂×D₄	—	52	16	no	—
1110	C₂×D₄	—	52	4	no	—
1111	C₂×D₄	—	52	4	no	—
1112	C₂×D₄	—	52	4	no	—
1113	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1114	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1115	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1116	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1117	C₂²×C₄	—	2	4	no	—
1118	C₂²×C₄	—	2	4	no	—
1119	C₂²×C₄	—	4	4	no	—
1120	C₂²×C₄	—	4	4	no	—
1121	C₂²×C₄	—	13	1	no	—
1122	C₂²×C₄	—	13	2	no	—
1123	C₂²×C₄	—	13	1	no	—
1124	C₂²×C₄	—	13	1	no	—
1125	C₂²×C₄	—	13	1	no	—
1126	C₂²×C₄	—	13	2	no	—
1127	C₂²×C₄	—	13	2	no	—
1128	C₂²×C₄	—	13	1	no	—
1129	C₂²×C₄	—	13	8	no	—
1130	C₂²×C₄	—	13	8	no	—
1131	C₂²×C₄	—	13	4	no	—
1132	C₂²×C₄	—	13	4	no	—
1133	C₂²×C₄	—	13	4	no	—
1134	C₂²×C₄	—	13	4	no	—
1135	C₂²×C₄	—	13	8	no	—
1136	C₂²×C₄	—	13	4	no	—
1137	C₂²×C₄	—	13	4	no	—
1138	C₂²×C₄	—	13	4	no	—
1139	C₂²×C₄	—	13	4	no	—
1140	C₂²×C₄	—	13	4	no	—
1141	C₂²×C₄	—	13	4	no	—
1142	C₂²×C₄	—	13	8	no	—
1143	C₂²×C₄	—	13	8	no	—
1144	C₂²×C₄	—	13	4	no	—
1145	C₂²×C₄	—	26	8	no	—
1146	C₂²×C₄	—	26	4	no	—
1147	C₂²×C₄	—	26	4	no	—
1148	C₂²×C₄	—	26	4	no	—
1149	C₂²×C₄	—	26	4	no	—
1150	C₂²×C₄	—	52	16	no	—
1151	C₂²×C₄	—	52	16	no	—
1152	C₂²×C₄	—	52	2	no	—
1153	C₂²×C₄	—	52	2	no	—
1154	C₂²×C₄	—	52	2	no	—
1155	C₂²×C₄	—	52	2	no	—
1156	C₂²×C₄	—	52	4	no	—
1157	C₂²×C₄	—	52	2	no	—
1158	C₂²×C₄	—	52	4	no	—
1159	C₂²×C₄	—	52	2	no	—
1160	C₂²×C₄	—	52	2	no	—
1161	C₂²×C₄	—	52	4	no	—
1162	C₂²×C₄	—	52	4	no	—
1163	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1164	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1165	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1166	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1167	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1168	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1169	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1170	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1171	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1172	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1173	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1174	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1175	C₄⋊C₄	—	13	8	no	—
1176	C₄⋊C₄	—	13	8	no	—
1177	C₄⋊C₄	—	13	4	no	—
1178	C₄⋊C₄	—	13	4	no	—
1179	C₄⋊C₄	—	13	4	no	—
1180	C₄⋊C₄	—	13	4	no	—
1181	C₄⋊C₄	—	13	8	no	—
1182	C₄⋊C₄	—	13	8	no	—
1183	C₄⋊C₄	—	13	8	no	—
1184	C₄⋊C₄	—	13	8	no	—
1185	C₄⋊C₄	—	13	8	no	—
1186	C₄⋊C₄	—	13	8	no	—
1187	C₄⋊C₄	—	13	8	no	—
1188	C₄⋊C₄	—	13	8	no	—
1189	C₄⋊C₄	—	13	8	no	—
1190	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1191	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1192	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1193	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1194	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1195	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1196	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1197	C₂²⋊C₄	—	13	8	no	—
1198	C₂²⋊C₄	—	13	4	no	—
1199	C₂²⋊C₄	—	13	4	no	—
1200	C₂²⋊C₄	—	13	8	no	—
1201	C₂²⋊C₄	—	13	8	no	—
1202	C₂²⋊C₄	—	13	8	no	—
1203	C₂²⋊C₄	—	13	4	no	—
1204	C₂²⋊C₄	—	13	4	no	—
1205	C₂²⋊C₄	—	13	8	no	—
1206	C₂²⋊C₄	—	13	8	no	—
1207	C₂²⋊C₄	—	13	8	no	—
1208	C₂²⋊C₄	—	13	8	no	—
1209	C₂²⋊C₄	—	13	8	no	—
1210	C₂²⋊C₄	—	13	4	no	—
1211	C₂²⋊C₄	—	13	8	no	—
1212	C₂²⋊C₄	—	13	8	no	—
1213	C₂²⋊C₄	—	13	4	no	—
1214	C₂²⋊C₄	—	13	8	no	—
1215	C₂²⋊C₄	—	13	8	no	—
1216	C₂²⋊C₄	—	13	8	no	—
1217	C₂²⋊C₄	—	13	8	no	—
1218	C₂²⋊C₄	—	13	8	no	—
1219	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1220	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1221	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1222	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1223	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1224	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1225	C₄²	—	13	4	no	—
1226	C₄²	—	13	4	no	—
1227	C₄²	—	13	4	no	—
1228	C₄²	—	13	8	no	—
1229	C₄²	—	13	8	no	—
1230	C₄²	—	13	8	no	—
1231	C₄²	C₂³×D₁₃	1	4	yes	—
1232	C₄²	C₂³×D₁₃	1	8	yes	—
1233	C₁₃	C₂×#3505	1	1	yes	characteristic, complemented, Sylow
1234	C₂³	—	2	2	no	—
1235	C₂³	—	2	2	no	—
1236	C₂³	—	2	2	no	—
1237	C₂³	—	2	4	no	—
1238	C₂³	—	2	2	no	—
1239	C₂³	—	2	4	no	—
1240	C₂³	—	2	4	no	—
1241	C₂³	—	2	2	no	—
1242	C₂³	—	13	4	no	—
1243	C₂³	—	13	4	no	—
1244	C₂³	—	13	2	no	—
1245	C₂³	—	13	2	no	—
1246	C₂³	—	13	16	no	—
1247	C₂³	—	13	2	no	—
1248	C₂³	—	13	4	no	—
1249	C₂³	—	26	8	no	—
1250	C₂³	—	26	16	no	—
1251	C₂³	—	26	2	no	—
1252	C₂³	—	26	2	no	—
1253	C₂³	—	26	2	no	—
1254	C₂³	—	26	2	no	—
1255	C₂³	—	26	2	no	—
1256	C₂³	—	26	4	no	—
1257	C₂³	—	26	2	no	—
1258	C₂³	—	26	4	no	—
1259	C₂³	—	26	4	no	—
1260	C₂³	—	26	2	no	—
1261	C₂³	—	52	4	no	—
1262	C₂³	—	52	4	no	—
1263	C₂³	—	52	4	no	—
1264	C₂³	—	52	16	no	—
1265	C₂³	—	52	4	no	—
1266	C₂³	—	52	8	no	—
1267	C₂³	—	52	8	no	—
1268	C₂³	—	52	16	no	—
1269	C₂³	—	104	16	no	—
1270	C₂³	#41×D₁₃	1	4	yes	—
1271	C₂³	C₂⁴×D₁₃	1	2	yes	—
1272	C₂³	C₂⁴×D₁₃	1	4	yes	—
1273	C₂³	C₂⁴×D₁₃	1	2	yes	—
1274	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1275	Q₈	—	26	8	no	—
1276	Q₈	—	26	8	no	—
1277	Q₈	—	52	8	no	—
1278	D₄	—	2	8	no	—
1279	D₄	—	2	16	no	—
1280	D₄	—	2	8	no	—
1281	D₄	—	4	8	no	—
1282	D₄	—	26	8	no	—
1283	D₄	—	26	16	no	—
1284	D₄	—	26	8	no	—
1285	D₄	—	26	16	no	—
1286	D₄	—	26	8	no	—
1287	D₄	—	26	16	no	—
1288	D₄	—	26	8	no	—
1289	D₄	—	52	8	no	—
1290	D₄	—	52	8	no	—
1291	D₄	—	52	8	no	—
1292	D₄	—	52	8	no	—
1293	C₂×C₄	—	2	4	no	—
1294	C₂×C₄	—	2	2	no	—
1295	C₂×C₄	—	2	2	no	—
1296	C₂×C₄	—	2	2	no	—
1297	C₂×C₄	—	2	2	no	—
1298	C₂×C₄	—	2	4	no	—
1299	C₂×C₄	—	2	4	no	—
1300	C₂×C₄	—	2	8	no	—
1301	C₂×C₄	—	2	8	no	—
1302	C₂×C₄	—	4	8	no	—
1303	C₂×C₄	—	4	8	no	—
1304	C₂×C₄	—	13	2	no	—
1305	C₂×C₄	—	13	2	no	—
1306	C₂×C₄	—	13	4	no	—
1307	C₂×C₄	—	13	2	no	—
1308	C₂×C₄	—	13	2	no	—
1309	C₂×C₄	—	13	4	no	—
1310	C₂×C₄	—	13	4	no	—
1311	C₂×C₄	—	13	2	no	—
1312	C₂×C₄	—	26	16	no	—
1313	C₂×C₄	—	26	8	no	—
1314	C₂×C₄	—	26	4	no	—
1315	C₂×C₄	—	26	2	no	—
1316	C₂×C₄	—	26	2	no	—
1317	C₂×C₄	—	26	2	no	—
1318	C₂×C₄	—	26	2	no	—
1319	C₂×C₄	—	26	4	no	—
1320	C₂×C₄	—	26	4	no	—
1321	C₂×C₄	—	26	2	no	—
1322	C₂×C₄	—	26	8	no	—
1323	C₂×C₄	—	26	8	no	—
1324	C₂×C₄	—	26	8	no	—
1325	C₂×C₄	—	52	4	no	—
1326	C₂×C₄	—	52	8	no	—
1327	C₂×C₄	—	52	4	no	—
1328	C₂×C₄	—	52	4	no	—
1329	C₂×C₄	—	52	4	no	—
1330	C₂×C₄	—	52	4	no	—
1331	C₂×C₄	—	52	8	no	—
1332	C₂×C₄	—	52	4	no	—
1333	C₂×C₄	—	52	4	no	—
1334	C₂×C₄	—	52	8	no	—
1335	C₂×C₄	—	52	8	no	—
1336	C₂×C₄	#88256	1	4	yes	—
1337	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1338	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1339	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1340	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1341	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1342	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1343	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1344	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1345	C₂²	—	2	2	no	—
1346	C₂²	—	2	2	no	—
1347	C₂²	—	2	8	no	—
1348	C₂²	—	2	2	no	—
1349	C₂²	—	2	4	no	—
1350	C₂²	—	2	2	no	—
1351	C₂²	—	2	4	no	—
1352	C₂²	—	2	4	no	—
1353	C₂²	—	2	2	no	—
1354	C₂²	—	4	4	no	—
1355	C₂²	—	4	8	no	—
1356	C₂²	—	13	4	no	—
1357	C₂²	—	13	4	no	—
1358	C₂²	—	26	2	no	—
1359	C₂²	—	26	2	no	—
1360	C₂²	—	26	2	no	—
1361	C₂²	—	26	2	no	—
1362	C₂²	—	26	8	no	—
1363	C₂²	—	26	8	no	—
1364	C₂²	—	26	2	no	—
1365	C₂²	—	26	4	no	—
1366	C₂²	—	26	2	no	—
1367	C₂²	—	26	4	no	—
1368	C₂²	—	26	4	no	—
1369	C₂²	—	26	2	no	—
1370	C₂²	—	52	16	no	—
1371	C₂²	—	52	16	no	—
1372	C₂²	—	52	4	no	—
1373	C₂²	—	52	8	no	—
1374	C₂²	—	104	16	no	—
1375	C₂²	C₂×#41×D₁₃	1	4	yes	—
1376	C₂²	C₂×#41×D₁₃	1	2	yes	—
1377	C₂²	C₂×#88256	1	2	yes	—
1378	C₂²	#11719650	1	2	yes	—
1379	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1380	C₄	—	2	4	no	—
1381	C₄	—	2	2	no	—
1382	C₄	—	2	2	no	—
1383	C₄	—	2	2	no	—
1384	C₄	—	2	2	no	—
1385	C₄	—	2	4	no	—
1386	C₄	—	2	4	no	—
1387	C₄	—	26	2	no	—
1388	C₄	—	26	4	no	—
1389	C₄	—	26	2	no	—
1390	C₄	—	26	2	no	—
1391	C₄	—	26	2	no	—
1392	C₄	—	26	4	no	—
1393	C₄	—	26	4	no	—
1394	C₄	—	26	2	no	—
1395	C₄	C₂×#88256	1	4	yes	—
1396	C₂	—	2	4	no	—
1397	C₂	—	4	2	no	—
1398	C₂	—	4	4	no	—
1399	C₂	—	26	4	no	—
1400	C₂	—	26	4	no	—
1401	C₂	—	52	2	no	—
1402	C₂	—	52	4	no	—
1403	C₂	#13128665	1	4	yes	direct product factor
1404	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1405	C₂	C₂²×#88256	1	1	yes	characteristic
1406	C₂	C₂×#11719650	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#553	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#553	D₁₃
hypocenter	C₁₃	C₂×#3505
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#553

Complements

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

N	H ≅ G/N	type
1. #13128665	C₂	direct (N × H)
2. C₂×#11719323	C₂	semidirect
3. C₂×#11719219	C₂	semidirect
4. C₂×#11719270	C₂	semidirect
5. C₂×#11719234	C₂	semidirect
6. C₂×#11719399	C₂	semidirect
7. C₂×#11719410	C₂	semidirect
8. C₂×#11719363	C₂	semidirect
9. C₂×#11719257	C₂	semidirect
10. C₂×#11719303	C₂	semidirect
11. C₂×#11719317	C₂	semidirect
12. C₂×#11719259	C₂	semidirect
13. C₂×#11719412	C₂	semidirect
14. C₂×#11719362	C₂	semidirect
15. C₂×#11719310	C₂	semidirect
16. C₂×#11719396	C₂	semidirect
17. C₂×#11719262	C₂	semidirect
18. C₂×#11719229	C₂	semidirect
19. C₂×#11719311	C₂	semidirect
20. C₂²×#88151	C₂	semidirect
21. C₂×D₁₃×#121	C₂	semidirect
22. C₂×#11719250	C₂	semidirect
23. C₂×C₄×D₄×D₁₃	C₂	semidirect
24. C₂×C₁₃×#553	C₂	semidirect
25. C₂²×#6129	C₂²	semidirect
28. C₂²×D₄×D₁₃	C₂²	semidirect
29. C₂²×#6127	C₂²	semidirect
31. C₂³×C₄×D₁₃	C₂²	semidirect
32. C₂³×Dic₂₆	C₂²	semidirect
33. C₁₃×#553	C₂²	semidirect
34. C₂×C₁₃×#126	C₂²	semidirect
35. C₂×C₁₃×#125	C₂²	semidirect
36. C₂×C₁₃×#123	C₂²	semidirect
37. C₂×C₁₃×#121	C₂²	semidirect
38. C₂×C₁₃×#121	C₂²	semidirect
39. C₂×C₁₃×#121	C₂²	semidirect
40. C₂×C₄×D₄×C₁₃	C₂²	semidirect
41. C₂×C₄×D₄×C₁₃	C₂²	semidirect
42. C₂×C₄×D₄×C₁₃	C₂²	semidirect
43. C₂×C₁₃×#117	C₂²	semidirect
44. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
45. C₂×#88193	C₂²	semidirect
46. C₂×#88193	C₂²	semidirect
47. C₂×#88193	C₂²	semidirect
49. C₂×#88192	C₂²	semidirect
51. C₂×#88191	C₂²	semidirect
52. C₂×#88190	C₂²	semidirect
53. C₂×D₄×Dic₁₃	C₂²	semidirect
54. C₂×D₄×Dic₁₃	C₂²	semidirect
55. C₂×D₄×Dic₁₃	C₂²	semidirect
56. C₂×#88184	C₂²	semidirect
57. C₂×#88184	C₂²	semidirect
58. C₂×#88184	C₂²	semidirect
60. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
61. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
62. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
64. C₂²×#6103	C₂²	semidirect
65. C₂×#88180	C₂²	semidirect
66. C₂²×C₄⋊Dic₁₃	C₂²	semidirect
67. C₂×#88178	C₂²	semidirect
68. #11719412	C₂²	semidirect
69. #11719410	C₂²	semidirect
70. #11719399	C₂²	semidirect
71. #11719396	C₂²	semidirect
72. #11719363	C₂²	semidirect
73. #11719362	C₂²	semidirect
74. #11719323	C₂²	semidirect
75. #11719317	C₂²	semidirect
76. #11719311	C₂²	semidirect
77. #11719310	C₂²	semidirect
78. D₁₃×#121	C₂²	semidirect
79. #11719303	C₂²	semidirect
80. #11719270	C₂²	semidirect
81. #11719262	C₂²	semidirect
82. #11719259	C₂²	semidirect
83. #11719257	C₂²	semidirect
84. #11719250	C₂²	semidirect
85. C₄×D₄×D₁₃	C₂²	semidirect
86. #11719234	C₂²	semidirect
87. #11719229	C₂²	semidirect
88. #11719219	C₂²	semidirect
89. C₂×#88152	C₂²	semidirect
90. C₂×#88152	C₂²	semidirect
91. C₂×#88152	C₂²	semidirect
92. C₂×#88151	C₂²	semidirect
93. C₂×#88151	C₂²	semidirect
94. C₂×#88151	C₂²	semidirect
95. C₂×#88151	C₂²	semidirect
96. C₂×#88151	C₂²	semidirect
97. C₂×#88151	C₂²	semidirect
98. C₂×#88151	C₂²	semidirect
99. C₂×#88151	C₂²	semidirect
100. C₂×#88150	C₂²	semidirect
102. C₂×#88149	C₂²	semidirect
104. C₂×#88148	C₂²	semidirect
105. C₂×#88148	C₂²	semidirect
107. C₂×#88147	C₂²	semidirect
108. C₂×#88147	C₂²	semidirect
109. C₂×#88146	C₂²	semidirect
110. C₂×#88146	C₂²	semidirect
111. C₂×#88146	C₂²	semidirect
112. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
113. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
114. C₂×#88144	C₂²	semidirect
115. C₂×#88144	C₂²	semidirect
116. C₂×#88141	C₂²	semidirect
117. C₂×#88140	C₂²	semidirect
118. C₂×#88140	C₂²	semidirect
119. C₂×#88139	C₂²	semidirect
120. C₂×#88139	C₂²	semidirect
123. C₂×#88137	C₂²	semidirect
124. C₂×#88137	C₂²	semidirect
125. C₂×#88137	C₂²	semidirect
127. C₂×#88136	C₂²	semidirect
129. C₂×#88135	C₂²	semidirect
130. C₂×#88135	C₂²	semidirect
131. C₂×#88135	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
134. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
135. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
136. C₂×#88133	C₂²	semidirect
137. C₂×#88133	C₂²	semidirect
138. C₂×#88132	C₂²	semidirect
139. C₂×#88129	C₂²	semidirect
141. C₂×C₄×D₅₂	C₂²	semidirect
142. C₂×C₄×D₅₂	C₂²	semidirect
143. C₂×#88126	C₂²	semidirect
144. C₂×C₄²×D₁₃	C₂²	semidirect
145. C₂×#88124	C₂²	semidirect
146. C₂×C₄×Dic₂₆	C₂²	semidirect
170. C₂×#6129	C₂³	semidirect
176. C₂×D₄×D₁₃	C₂³	semidirect
178. C₂×#6127	C₂³	semidirect
198. C₂²×C₄×D₁₃	C₂³	semidirect
203. C₂²×Dic₂₆	C₂³	semidirect
204. C₁₃×#126	C₂³	semidirect
205. C₁₃×#125	C₂³	semidirect
206. C₁₃×#123	C₂³	semidirect
207. C₁₃×#121	C₂³	semidirect
208. C₁₃×#121	C₂³	semidirect
209. C₁₃×#121	C₂³	semidirect
210. C₄×D₄×C₁₃	C₂³	semidirect
211. C₄×D₄×C₁₃	C₂³	semidirect
212. C₄×D₄×C₁₃	C₂³	semidirect
213. C₁₃×#117	C₂³	semidirect
221. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
236. #88193	C₂³	semidirect
237. #88193	C₂³	semidirect
238. #88193	C₂³	semidirect
240. #88192	C₂³	semidirect
242. #88191	C₂³	semidirect
243. #88190	C₂³	semidirect
244. D₄×Dic₁₃	C₂³	semidirect
245. D₄×Dic₁₃	C₂³	semidirect
246. D₄×Dic₁₃	C₂³	semidirect
247. #88184	C₂³	semidirect
248. #88184	C₂³	semidirect
249. #88184	C₂³	semidirect
251. C₄×C₂²⋊D₁₃	C₂³	semidirect
252. C₄×C₂²⋊D₁₃	C₂³	semidirect
253. C₄×C₂²⋊D₁₃	C₂³	semidirect
271. C₂×#6103	C₂³	semidirect
272. #88180	C₂³	semidirect
281. C₂×C₄⋊Dic₁₃	C₂³	semidirect
282. #88178	C₂³	semidirect
296. #88152	C₂³	semidirect
297. #88152	C₂³	semidirect
298. #88152	C₂³	semidirect
299. #88151	C₂³	semidirect
300. #88151	C₂³	semidirect
301. #88151	C₂³	semidirect
302. #88151	C₂³	semidirect
303. #88151	C₂³	semidirect
304. #88151	C₂³	semidirect
305. #88151	C₂³	semidirect
306. #88150	C₂³	semidirect
308. #88149	C₂³	semidirect
310. #88148	C₂³	semidirect
311. #88148	C₂³	semidirect
313. #88147	C₂³	semidirect
314. #88147	C₂³	semidirect
315. #88146	C₂³	semidirect
316. #88146	C₂³	semidirect
317. #88146	C₂³	semidirect
318. C₄⋊C₄×D₁₃	C₂³	semidirect
319. C₄⋊C₄×D₁₃	C₂³	semidirect
320. #88144	C₂³	semidirect
321. #88144	C₂³	semidirect
322. #88141	C₂³	semidirect
323. #88140	C₂³	semidirect
324. #88140	C₂³	semidirect
325. #88139	C₂³	semidirect
326. #88139	C₂³	semidirect
329. #88137	C₂³	semidirect
330. #88137	C₂³	semidirect
331. #88137	C₂³	semidirect
333. #88136	C₂³	semidirect
335. #88135	C₂³	semidirect
336. #88135	C₂³	semidirect
337. #88135	C₂³	semidirect
339. C₂²⋊C₄×D₁₃	C₂³	semidirect
340. C₂²⋊C₄×D₁₃	C₂³	semidirect
341. C₂²⋊C₄×D₁₃	C₂³	semidirect
342. #88133	C₂³	semidirect
343. #88133	C₂³	semidirect
344. #88132	C₂³	semidirect
345. #88129	C₂³	semidirect
347. C₄×D₅₂	C₂³	semidirect
348. C₄×D₅₂	C₂³	semidirect
349. #88126	C₂³	semidirect
350. C₄²×D₁₃	C₂³	semidirect
351. #88124	C₂³	semidirect
352. C₄×Dic₂₆	C₂³	semidirect
365. C₂³×D₁₃	#41	semidirect
535. C₂×#553	D₁₃	semidirect
591. C₂²×D₁₃	C₂×#41	semidirect
677. #553	C₂×D₁₃	semidirect
696. C₂×#126	C₂×D₁₃	semidirect
700. C₂×#125	C₂×D₁₃	semidirect
716. C₂×#123	C₂×D₁₃	semidirect
740. C₂×#121	C₂×D₁₃	semidirect
741. C₂×#121	C₂×D₁₃	semidirect
742. C₂×#121	C₂×D₁₃	semidirect
768. C₂×C₄×D₄	C₂×D₁₃	semidirect
769. C₂×C₄×D₄	C₂×D₁₃	semidirect
770. C₂×C₄×D₄	C₂×D₁₃	semidirect
776. C₂×#117	C₂×D₁₃	semidirect
780. C₂²×C₄⋊C₄	C₂×D₁₃	semidirect
901. #126	C₂²×D₁₃	semidirect
905. #125	C₂²×D₁₃	semidirect
919. #123	C₂²×D₁₃	semidirect
941. #121	C₂²×D₁₃	semidirect
942. #121	C₂²×D₁₃	semidirect
943. #121	C₂²×D₁₃	semidirect
967. C₄×D₄	C₂²×D₁₃	semidirect
968. C₄×D₄	C₂²×D₁₃	semidirect
969. C₄×D₄	C₂²×D₁₃	semidirect
975. #117	C₂²×D₁₃	semidirect
1001. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1048. C₂×C₁₃	#3505	semidirect
1233. C₁₃	C₂×#3505	semidirect
1403. C₂	#13128665	direct (N × H)

Maximal subgroups

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

subgroup	index
#13128665	2
C₂×#11719323	2
C₂×#11719219	2
C₂×#11719270	2
C₂×#11719234	2
C₂×#11719399	2
C₂×#11719410	2
C₂×#11719363	2
C₂×#11719257	2
C₂×#11719303	2
C₂×#11719317	2
C₂×#11719259	2
C₂×#11719412	2
C₂×#11719362	2
C₂×#11719310	2
C₂×#11719396	2
C₂×#11719262	2
C₂×#11719229	2
C₂×#11719311	2
C₂²×#88151	2
C₂×D₁₃×#121	2
C₂×#11719250	2
C₂×C₄×D₄×D₁₃	2
C₂×C₁₃×#553	2
C₂×#3505	13

Subgroups — C2×#13128665 #16770837

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13128665 #16770837