Subgroups — C₂×#13128573 #16771267

Order 3328.

8006 conjugacy classes of subgroups.

The subgroup lattice has 960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128573	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719268	C₂	1	2	yes	maximal, complemented
3	C₂×#11719270	C₂	1	2	yes	maximal, complemented
4	C₂×#11719270	C₂	1	2	yes	maximal, complemented
5	C₂×#11719363	C₂	1	4	yes	maximal, complemented
6	C₂×#11719260	C₂	1	2	yes	maximal, complemented
7	C₂×#11719296	C₂	1	4	yes	maximal, complemented
8	C₂×#11719224	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#11719348	C₂	1	2	yes	maximal, complemented
10	C₂×#11719324	C₂	1	2	yes	maximal, complemented
11	C₂×#11719535	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719301	C₂	1	2	yes	maximal, complemented
13	C₂×#11719329	C₂	1	2	yes	maximal, complemented
14	C₂²×#88184	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11719532	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11719226	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂²×#88180	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
20	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic
21	C₂³×C₂²⋊D₁₃	C₂²	1	2	yes	—
22	C₂²×#6129	C₂²	1	4	yes	complemented
23	C₂³×D₅₂	C₂²	1	1	yes	characteristic
24	C₁₃×#525	C₂²	1	16	yes	complemented
25	C₂×C₁₃×#123	C₂²	1	2	yes	—
26	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₁₃×#120	C₂²	1	2	yes	—
31	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
32	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
33	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
34	C₂²×C₂²⋊Dic₁₃	C₂²	1	2	yes	—
35	#11719535	C₂²	1	16	yes	complemented
36	#11719532	C₂²	1	16	yes	complemented
37	C₂×#88201	C₂²	1	2	yes	complemented
38	C₂×Q₈×Dic₁₃	C₂²	1	2	yes	complemented
39	C₂×#88194	C₂²	1	2	yes	complemented
40	C₂×#88193	C₂²	1	4	yes	complemented
41	C₂×#88193	C₂²	1	4	yes	complemented
42	C₂×#88192	C₂²	1	4	yes	complemented
43	C₂×#88191	C₂²	1	4	yes	—
44	C₂×D₄×Dic₁₃	C₂²	1	4	yes	—
45	C₂×D₄×Dic₁₃	C₂²	1	2	yes	complemented
46	C₂×#88184	C₂²	1	2	yes	—
47	C₂×#88184	C₂²	1	2	yes	—
48	C₂×#88184	C₂²	1	2	yes	—
49	C₂×#88184	C₂²	1	2	yes	—
50	C₂×#88184	C₂²	1	16	yes	complemented
51	C₂×#88184	C₂²	1	2	yes	complemented
52	C₂×#88184	C₂²	1	2	yes	complemented
53	C₂²×#6103	C₂²	1	2	yes	—
54	C₂×#88180	C₂²	1	1	yes	characteristic
55	C₂×#88180	C₂²	1	1	yes	characteristic
56	C₂×#88180	C₂²	1	2	yes	—
57	C₂×#88180	C₂²	1	2	yes	complemented
58	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
59	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
60	C₂×#88180	C₂²	1	2	yes	complemented
61	C₂×#88180	C₂²	1	16	yes	complemented
62	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
63	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
64	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
65	C₂²×C₄⋊Dic₁₃	C₂²	1	2	yes	complemented
66	C₂²×C₄×Dic₁₃	C₂²	1	2	yes	complemented
67	#11719363	C₂²	1	64	yes	complemented
68	#11719348	C₂²	1	32	yes	complemented
69	#11719329	C₂²	1	32	yes	complemented
70	#11719324	C₂²	1	32	yes	complemented
71	#11719301	C₂²	1	32	yes	complemented
72	#11719296	C₂²	1	64	yes	complemented
73	#11719270	C₂²	1	32	yes	complemented
74	#11719270	C₂²	1	32	yes	complemented
75	#11719268	C₂²	1	32	yes	complemented
76	#11719260	C₂²	1	32	yes	complemented
77	#11719226	C₂²	1	16	yes	complemented
78	#11719224	C₂²	1	16	yes	complemented
79	C₂×#88152	C₂²	1	4	yes	complemented
80	C₂×#88152	C₂²	1	4	yes	complemented
81	C₂×#88151	C₂²	1	4	yes	complemented
82	C₂×#88147	C₂²	1	2	yes	complemented
83	C₂×#88147	C₂²	1	2	yes	complemented
84	C₂×#88146	C₂²	1	4	yes	complemented
85	C₂×#88144	C₂²	1	2	yes	complemented
86	C₂×#88142	C₂²	1	2	yes	complemented
87	C₂×#88140	C₂²	1	4	yes	complemented
88	C₂×#88140	C₂²	1	4	yes	complemented
89	C₂×#88139	C₂²	1	4	yes	complemented
90	C₂×#88139	C₂²	1	4	yes	complemented
91	C₂×#88137	C₂²	1	4	yes	complemented
92	C₂×#88137	C₂²	1	4	yes	complemented
93	C₂×#88135	C₂²	1	4	yes	complemented
94	C₂×#88135	C₂²	1	4	yes	complemented
95	C₂×C₂²⋊C₄×D₁₃	C₂²	1	4	yes	—
96	C₂×#88132	C₂²	1	4	yes	—
97	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
98	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
99	C₂×#88124	C₂²	1	2	yes	complemented
100	C₂×#88123	C₂²	1	2	yes	complemented
101	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
102	C₂⁴×D₁₃	C₂³	1	2	yes	—
103	C₂×C₁₃×#41	—	2	8	no	—
104	C₂×C₁₃×#41	C₂³	1	8	yes	—
105	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
106	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
107	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
108	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
109	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
110	C₂³×C₄×C₁₃	—	2	8	no	—
111	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
112	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
113	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
114	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
115	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
116	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
117	C₂³×C₄×C₁₃	C₂³	1	8	yes	—
118	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
119	C₂²×C₂²⋊D₁₃	—	4	8	no	—
120	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	—
121	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	—
122	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	—
123	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	—
124	C₂²×C₂²⋊D₁₃	C₂³	1	16	yes	—
125	C₂³×Dic₁₃	C₂³	1	2	yes	—
126	C₂³×Dic₁₃	C₂³	1	2	yes	—
127	C₂³×Dic₁₃	C₂³	1	2	yes	—
128	C₂³×Dic₁₃	C₂³	1	4	yes	—
129	C₂×#6129	—	4	16	no	—
130	C₂×#6129	C₂³	1	32	yes	complemented
131	C₂²×D₅₂	—	2	8	no	—
132	C₂²×D₅₂	C₂³	1	2	yes	—
133	C₂²×D₅₂	C₂³	1	2	yes	—
134	C₂²×D₅₂	C₂³	1	8	yes	—
135	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
136	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
137	C₂²×Dic₂₆	C₂³	1	4	yes	—
138	C₁₃×#123	C₂³	1	16	yes	—
139	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
140	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
141	C₁₃×#121	C₂³	1	8	yes	complemented
142	C₁₃×#121	C₂³	1	8	yes	complemented
143	C₁₃×#120	C₂³	1	16	yes	—
144	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
145	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
146	C₁₃×#117	C₂³	1	8	yes	—
147	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
150	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
151	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
152	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
153	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
154	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
155	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
156	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
157	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
158	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
159	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
160	C₂×C₂²⋊Dic₁₃	C₂³	1	4	yes	—
161	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
162	C₂×C₂²⋊Dic₁₃	C₂³	1	16	yes	—
163	#88201	C₂³	1	16	yes	complemented
164	Q₈×Dic₁₃	C₂³	1	16	yes	complemented
165	#88194	C₂³	1	16	yes	complemented
166	#88193	C₂³	1	32	yes	complemented
167	#88193	C₂³	1	32	yes	complemented
168	#88192	C₂³	1	32	yes	complemented
169	#88191	C₂³	1	32	yes	—
170	D₄×Dic₁₃	C₂³	1	32	yes	—
171	D₄×Dic₁₃	C₂³	1	16	yes	complemented
172	#88184	C₂³	1	16	yes	—
173	#88184	C₂³	1	16	yes	—
174	#88184	C₂³	1	16	yes	—
175	#88184	C₂³	1	16	yes	—
176	#88184	C₂³	1	16	yes	complemented
177	#88184	C₂³	1	16	yes	complemented
178	C₂×#6103	C₂³	1	4	yes	—
179	C₂×#6103	C₂³	1	4	yes	—
180	C₂×#6103	C₂³	1	4	yes	—
181	C₂×#6103	C₂³	1	4	yes	—
182	C₂×#6103	C₂³	1	4	yes	—
183	C₂×#6103	C₂³	1	4	yes	—
184	C₂×#6103	C₂³	1	16	yes	—
185	#88180	C₂³	1	8	yes	—
186	#88180	C₂³	1	8	yes	—
187	#88180	C₂³	1	16	yes	—
188	#88180	C₂³	1	8	yes	complemented
189	#88180	C₂³	1	8	yes	complemented
190	#88180	C₂³	1	16	yes	complemented
191	#88180	C₂³	1	16	yes	complemented
192	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
193	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
194	C₂×C₄⋊Dic₁₃	C₂³	1	4	yes	—
195	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
196	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
197	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
198	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
199	C₂×C₄⋊Dic₁₃	C₂³	1	4	yes	—
200	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
201	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
202	C₂×C₄⋊Dic₁₃	C₂³	1	8	yes	—
203	C₂×C₄⋊Dic₁₃	C₂³	1	8	yes	complemented
204	C₂×C₄⋊Dic₁₃	C₂³	1	8	yes	complemented
205	C₂×C₄⋊Dic₁₃	C₂³	1	16	yes	complemented
206	C₂×#6101	C₂³	1	4	yes	—
207	C₂×#6101	C₂³	1	4	yes	—
208	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
209	C₂×C₄×Dic₁₃	C₂³	1	4	yes	—
210	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
211	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
212	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
213	C₂×C₄×Dic₁₃	C₂³	1	16	yes	complemented
214	#88152	C₂³	1	32	yes	complemented
215	#88152	C₂³	1	32	yes	complemented
216	#88151	C₂³	1	32	yes	complemented
217	#88147	C₂³	1	16	yes	complemented
218	#88147	C₂³	1	16	yes	complemented
219	#88146	C₂³	1	32	yes	complemented
220	#88144	C₂³	1	16	yes	complemented
221	#88142	C₂³	1	16	yes	complemented
222	#88140	C₂³	1	32	yes	complemented
223	#88140	C₂³	1	32	yes	complemented
224	#88139	C₂³	1	32	yes	complemented
225	#88139	C₂³	1	32	yes	complemented
226	#88137	C₂³	1	32	yes	complemented
227	#88137	C₂³	1	32	yes	complemented
228	#88135	C₂³	1	32	yes	complemented
229	#88135	C₂³	1	32	yes	complemented
230	C₂²⋊C₄×D₁₃	C₂³	1	32	yes	—
231	#88132	C₂³	1	32	yes	—
232	C₄×D₅₂	C₂³	1	16	yes	complemented
233	C₄×D₅₂	C₂³	1	16	yes	complemented
234	#88124	C₂³	1	16	yes	complemented
235	#88123	C₂³	1	16	yes	complemented
236	C₂×#3494	—	13	1	no	maximal, Sylow
237	C₂⁴×C₁₃	—	2	4	no	—
238	C₂⁴×C₁₃	—	2	4	no	—
239	C₂⁴×C₁₃	—	4	2	no	—
240	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
241	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
242	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
243	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
244	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
245	C₂³×D₁₃	—	2	8	no	—
246	C₂³×D₁₃	—	4	4	no	—
247	C₂³×D₁₃	—	4	4	no	—
248	C₂³×D₁₃	C₂⁴	1	4	yes	—
249	C₂³×D₁₃	C₂⁴	1	8	yes	—
250	C₁₃×#41	—	2	32	no	—
251	C₂×Q₈×C₁₃	—	2	4	no	—
252	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
253	C₂×D₄×C₁₃	—	2	8	no	—
254	C₂×D₄×C₁₃	—	2	8	no	—
255	C₂×D₄×C₁₃	—	2	4	no	—
256	C₂×D₄×C₁₃	—	4	4	no	—
257	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
258	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
259	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
260	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
261	C₂²×C₄×C₁₃	—	2	4	no	—
262	C₂²×C₄×C₁₃	—	2	4	no	—
263	C₂²×C₄×C₁₃	—	2	4	no	—
264	C₂²×C₄×C₁₃	—	2	4	no	—
265	C₂²×C₄×C₁₃	—	2	4	no	—
266	C₂²×C₄×C₁₃	—	2	8	no	—
267	C₂²×C₄×C₁₃	—	2	32	no	—
268	C₂²×C₄×C₁₃	#41	1	8	yes	complemented
269	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
270	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
271	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
272	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
273	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
274	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
275	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
276	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
277	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
278	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
279	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
280	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
281	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
282	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
283	C₂×C₂²⋊D₁₃	—	2	16	no	—
284	C₂×C₂²⋊D₁₃	—	4	8	no	—
285	C₂×C₂²⋊D₁₃	—	4	8	no	—
286	C₂×C₂²⋊D₁₃	—	4	8	no	—
287	C₂×C₂²⋊D₁₃	—	4	32	no	—
288	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
289	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
290	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
291	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
292	C₂²×Dic₁₃	—	2	8	no	—
293	C₂²×Dic₁₃	—	4	8	no	—
294	C₂²×Dic₁₃	—	4	4	no	—
295	C₂²×Dic₁₃	—	4	4	no	—
296	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
297	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
298	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
299	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
300	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
301	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
302	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
303	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
304	C₂²×Dic₁₃	C₂⁴	1	16	yes	—
305	#6129	—	4	64	no	—
306	C₂×D₅₂	—	2	8	no	—
307	C₂×D₅₂	—	2	8	no	—
308	C₂×D₅₂	—	2	32	no	—
309	C₂×D₅₂	C₂⁴	1	8	yes	—
310	C₂×D₅₂	C₂⁴	1	8	yes	—
311	C₂×C₄×D₁₃	—	4	8	no	—
312	C₂×C₄×D₁₃	—	4	8	no	—
313	C₂×C₄×D₁₃	C₂⁴	1	16	yes	—
314	C₂×C₄×D₁₃	C₂⁴	1	16	yes	—
315	C₂×Dic₂₆	—	4	8	no	—
316	C₂×Dic₂₆	C₂⁴	1	16	yes	—
317	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
318	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
319	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
320	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
321	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
322	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
323	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
324	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
325	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
326	C₄²×C₁₃	C₂⁴	1	8	yes	—
327	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
328	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
329	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
330	C₂²⋊Dic₁₃	C₂⁴	1	16	yes	—
331	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
332	#6103	C₂⁴	1	16	yes	—
333	#6103	C₂⁴	1	16	yes	—
334	#6103	C₂⁴	1	16	yes	—
335	#6103	C₂⁴	1	16	yes	—
336	#6103	C₂⁴	1	16	yes	—
337	#6103	C₂⁴	1	16	yes	—
338	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
339	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
340	C₄⋊Dic₁₃	C₂⁴	1	16	yes	—
341	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
342	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
343	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
344	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
345	C₄⋊Dic₁₃	C₂⁴	1	16	yes	—
346	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
347	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
348	#6101	C₂⁴	1	16	yes	—
349	#6101	C₂⁴	1	16	yes	—
350	C₄×Dic₁₃	C₂⁴	1	8	yes	—
351	C₄×Dic₁₃	C₂⁴	1	16	yes	—
352	C₄×Dic₁₃	C₂⁴	1	8	yes	—
353	C₄×Dic₁₃	C₂⁴	1	8	yes	—
354	C₄×Dic₁₃	C₂⁴	1	8	yes	—
355	#3494	—	13	32	no	—
356	C₂×#555	—	13	2	no	—
357	C₂×#553	—	13	2	no	—
358	C₂×#553	—	13	2	no	—
359	C₂×#551	—	13	4	no	—
360	C₂×#547	—	13	2	no	—
361	C₂×#546	—	13	4	no	—
362	C₂×#544	—	13	1	no	—
363	C₂×#542	—	13	2	no	—
364	C₂×#540	—	13	2	no	—
365	C₂×#535	—	13	1	no	—
366	C₂×#532	—	13	2	no	—
367	C₂×#529	—	13	2	no	—
368	C₂×#525	D₁₃	1	1	yes	characteristic, complemented
369	C₂²×#121	—	13	1	no	—
370	C₂×#520	—	13	1	no	—
371	C₂×#518	—	13	1	no	—
372	C₂²×#117	—	13	1	no	—
373	C₂³×C₁₃	—	2	2	no	—
374	C₂³×C₁₃	—	2	2	no	—
375	C₂³×C₁₃	—	2	2	no	—
376	C₂³×C₁₃	—	2	2	no	—
377	C₂³×C₁₃	—	2	8	no	—
378	C₂³×C₁₃	—	2	2	no	—
379	C₂³×C₁₃	—	2	4	no	—
380	C₂³×C₁₃	—	2	4	no	—
381	C₂³×C₁₃	—	2	8	no	—
382	C₂³×C₁₃	—	2	2	no	—
383	C₂³×C₁₃	—	2	4	no	—
384	C₂³×C₁₃	—	2	2	no	—
385	C₂³×C₁₃	—	4	4	no	—
386	C₂³×C₁₃	—	4	16	no	—
387	C₂³×C₁₃	C₂×#41	1	4	yes	—
388	C₂³×C₁₃	H(5,𝔽₂)	1	4	yes	—
389	C₂³×C₁₃	C₂⁵	1	2	yes	—
390	C₂³×C₁₃	C₂⁵	1	4	yes	—
391	C₂³×C₁₃	C₂⁵	1	2	yes	—
392	C₂³×C₁₃	C₂⁵	1	2	yes	—
393	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
394	C₂²×D₁₃	—	2	8	no	—
395	C₂²×D₁₃	—	2	8	no	—
396	C₂²×D₁₃	—	2	8	no	—
397	C₂²×D₁₃	—	2	16	no	—
398	C₂²×D₁₃	—	4	8	no	—
399	C₂²×D₁₃	—	4	8	no	—
400	C₂²×D₁₃	—	8	16	no	—
401	C₂²×D₁₃	C₂⁵	1	8	yes	—
402	Q₈×C₁₃	—	2	8	no	—
403	D₄×C₁₃	—	2	16	no	—
404	D₄×C₁₃	—	2	16	no	—
405	D₄×C₁₃	—	2	8	no	—
406	D₄×C₁₃	—	4	8	no	—
407	C₂×C₄×C₁₃	—	2	8	no	—
408	C₂×C₄×C₁₃	—	2	2	no	—
409	C₂×C₄×C₁₃	—	2	2	no	—
410	C₂×C₄×C₁₃	—	2	4	no	—
411	C₂×C₄×C₁₃	—	2	4	no	—
412	C₂×C₄×C₁₃	—	2	4	no	—
413	C₂×C₄×C₁₃	—	2	8	no	—
414	C₂×C₄×C₁₃	—	2	8	no	—
415	C₂×C₄×C₁₃	—	2	8	no	—
416	C₂×C₄×C₁₃	—	2	8	no	—
417	C₂×C₄×C₁₃	—	2	16	no	—
418	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
419	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
420	C₂×C₄×C₁₃	C₂×#41	1	16	yes	complemented
421	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
422	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
423	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
424	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
425	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
426	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
427	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
428	C₂²⋊D₁₃	—	2	32	no	—
429	C₂²⋊D₁₃	—	4	16	no	—
430	C₂²⋊D₁₃	—	4	16	no	—
431	C₂²⋊D₁₃	—	4	16	no	—
432	C₂×Dic₁₃	—	2	4	no	—
433	C₂×Dic₁₃	—	2	8	no	—
434	C₂×Dic₁₃	—	2	4	no	—
435	C₂×Dic₁₃	—	2	16	no	—
436	C₂×Dic₁₃	—	2	4	no	—
437	C₂×Dic₁₃	—	2	4	no	—
438	C₂×Dic₁₃	—	4	16	no	—
439	C₂×Dic₁₃	—	4	8	no	—
440	C₂×Dic₁₃	—	4	8	no	—
441	C₂×Dic₁₃	C₂⁵	1	4	yes	—
442	C₂×Dic₁₃	C₂⁵	1	4	yes	—
443	C₂×Dic₁₃	C₂⁵	1	4	yes	—
444	C₂×Dic₁₃	C₂⁵	1	4	yes	—
445	C₂×Dic₁₃	C₂⁵	1	8	yes	—
446	D₅₂	—	2	16	no	—
447	D₅₂	—	2	16	no	—
448	C₄×D₁₃	—	4	16	no	—
449	C₄×D₁₃	—	4	16	no	—
450	Dic₂₆	—	4	16	no	—
451	C₂²×#41	—	13	4	no	—
452	C₂²×#41	C₂×D₁₃	1	1	yes	characteristic
453	C₂³×D₄	—	13	2	no	—
454	C₂³×D₄	—	13	1	no	—
455	C₂⁴×C₄	C₂×D₁₃	1	1	yes	characteristic
456	#555	—	13	32	no	—
457	#553	—	13	32	no	—
458	#553	—	13	32	no	—
459	#551	—	13	64	no	—
460	#547	—	13	32	no	—
461	#546	—	13	64	no	—
462	#544	—	13	16	no	—
463	#542	—	13	32	no	—
464	#540	—	13	32	no	—
465	#535	—	13	16	no	—
466	#532	—	13	32	no	—
467	C₂×C₄⋊Q₈	—	13	2	no	—
468	C₂×C₄⋊Q₈	—	13	2	no	—
469	C₂×#127	—	13	2	no	—
470	#529	—	13	32	no	—
471	C₂×#126	—	13	4	no	—
472	C₂×#126	—	13	4	no	—
473	C₂×#125	—	13	2	no	—
474	C₂×#125	—	13	2	no	—
475	C₂×#124	—	13	2	no	—
476	C₂×#124	—	13	4	no	—
477	C₂×#124	—	13	4	no	—
478	#525	C₂×D₁₃	1	16	yes	complemented
479	C₂×#123	—	13	4	no	—
480	C₂×#123	—	13	4	no	—
481	C₂×#123	—	13	4	no	—
482	C₂×#123	—	13	4	no	—
483	C₂×#123	C₂×D₁₃	1	2	yes	—
484	C₂×C₂²⋊Q₈	—	13	4	no	—
485	C₂×C₂²⋊Q₈	—	13	4	no	—
486	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
487	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
488	C₂×#121	—	13	4	no	—
489	C₂×#121	—	13	4	no	—
490	C₂×#121	—	13	4	no	—
491	C₂×#121	—	13	2	no	—
492	C₂×#121	—	13	2	no	—
493	C₂×#121	—	13	2	no	—
494	C₂×#121	—	13	2	no	—
495	C₂×#121	—	13	16	no	—
496	C₂×#121	—	13	2	no	—
497	C₂×#121	—	13	2	no	—
498	C₂×#121	C₂×D₁₃	1	1	yes	characteristic, complemented
499	C₂×#121	C₂×D₁₃	1	1	yes	characteristic, complemented
500	C₂×#120	—	13	4	no	—
501	C₂×#120	C₂×D₁₃	1	2	yes	—
502	#520	—	13	16	no	—
503	#518	—	13	16	no	—
504	C₂×C₄×Q₈	—	13	2	no	—
505	C₂×C₄×D₄	—	13	4	no	—
506	C₂×C₄×D₄	—	13	2	no	—
507	C₂×C₄×D₄	—	13	2	no	—
508	C₂×C₄×D₄	—	13	2	no	—
509	C₂×C₄×D₄	—	13	4	no	—
510	C₂×C₄×D₄	—	13	4	no	—
511	C₂×C₄×D₄	—	13	2	no	—
512	C₂×C₄×D₄	—	13	2	no	—
513	C₂×C₄×D₄	C₂×D₁₃	1	2	yes	complemented
514	C₂×C₄×D₄	C₂×D₁₃	1	2	yes	complemented
515	C₂×#117	—	13	1	no	—
516	C₂×#117	—	13	1	no	—
517	C₂×#117	—	13	2	no	—
518	C₂×#117	—	13	2	no	—
519	C₂×#117	—	13	1	no	—
520	C₂×#117	—	13	1	no	—
521	C₂×#117	—	13	16	no	—
522	C₂×#117	—	13	2	no	—
523	C₂×#117	—	13	4	no	—
524	C₂×#117	C₂×D₁₃	1	1	yes	characteristic
525	C₂²×C₄⋊C₄	—	13	1	no	—
526	C₂²×C₄⋊C₄	—	13	1	no	—
527	C₂²×C₄⋊C₄	—	13	1	no	—
528	C₂²×C₄⋊C₄	—	13	2	no	—
529	C₂²×C₂²⋊C₄	—	13	2	no	—
530	C₂²×C₂²⋊C₄	—	13	2	no	—
531	C₂²×C₂²⋊C₄	—	13	4	no	—
532	C₂²×C₄²	—	13	2	no	—
533	C₂²×C₁₃	—	2	2	no	—
534	C₂²×C₁₃	—	2	2	no	—
535	C₂²×C₁₃	—	2	2	no	—
536	C₂²×C₁₃	—	2	2	no	—
537	C₂²×C₁₃	—	2	8	no	—
538	C₂²×C₁₃	—	2	8	no	—
539	C₂²×C₁₃	—	2	2	no	—
540	C₂²×C₁₃	—	2	4	no	—
541	C₂²×C₁₃	—	2	4	no	—
542	C₂²×C₁₃	—	2	2	no	—
543	C₂²×C₁₃	—	2	4	no	—
544	C₂²×C₁₃	—	2	2	no	—
545	C₂²×C₁₃	—	4	16	no	—
546	C₂²×C₁₃	—	4	8	no	—
547	C₂²×C₁₃	—	4	4	no	—
548	C₂²×C₁₃	C₂²×#41	1	4	yes	—
549	C₂²×C₁₃	C₂²×#41	1	2	yes	—
550	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
551	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
552	C₂²×C₁₃	#585	1	2	yes	—
553	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
554	C₂×D₁₃	—	2	8	no	—
555	C₂×D₁₃	—	2	8	no	—
556	C₂×D₁₃	—	2	8	no	—
557	C₂×D₁₃	—	4	16	no	—
558	C₂×D₁₃	—	8	16	no	—
559	C₄×C₁₃	—	2	2	no	—
560	C₄×C₁₃	—	2	2	no	—
561	C₄×C₁₃	—	2	4	no	—
562	C₄×C₁₃	—	2	4	no	—
563	C₄×C₁₃	—	2	4	no	—
564	C₄×C₁₃	C₂²×#41	1	4	yes	—
565	C₄×C₁₃	C₂²×#41	1	4	yes	—
566	Dic₁₃	—	2	4	no	—
567	Dic₁₃	—	2	8	no	—
568	Dic₁₃	—	2	4	no	—
569	Dic₁₃	—	2	4	no	—
570	Dic₁₃	—	2	4	no	—
571	C₂⁵	—	13	2	no	—
572	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
573	C₂×#41	—	2	8	no	—
574	C₂×#41	—	13	32	no	—
575	C₂×#41	—	52	16	no	—
576	C₂×#41	C₂²×D₁₃	1	8	yes	—
577	C₂²×Q₈	—	13	4	no	—
578	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
579	C₂²×D₄	—	13	4	no	—
580	C₂²×D₄	—	13	4	no	—
581	C₂²×D₄	—	13	4	no	—
582	C₂²×D₄	—	13	4	no	—
583	C₂²×D₄	—	13	16	no	—
584	C₂²×D₄	—	13	2	no	—
585	C₂²×D₄	—	13	2	no	—
586	C₂²×D₄	—	13	8	no	—
587	C₂²×D₄	—	26	8	no	—
588	C₂²×D₄	—	52	8	no	—
589	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
590	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
591	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
592	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
593	C₂³×C₄	—	2	8	no	—
594	C₂³×C₄	—	13	2	no	—
595	C₂³×C₄	—	13	2	no	—
596	C₂³×C₄	—	13	2	no	—
597	C₂³×C₄	—	13	4	no	—
598	C₂³×C₄	—	13	4	no	—
599	C₂³×C₄	—	13	4	no	—
600	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
601	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
602	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
603	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
604	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
605	C₂³×C₄	C₂²×D₁₃	1	8	yes	—
606	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
607	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
608	C₄⋊Q₈	—	13	16	no	—
609	C₄⋊Q₈	—	13	16	no	—
610	#127	—	13	16	no	—
611	#126	—	13	32	no	—
612	#126	—	13	32	no	—
613	#125	—	13	16	no	—
614	#125	—	13	16	no	—
615	#124	—	13	16	no	—
616	#124	—	13	32	no	—
617	#124	—	13	32	no	—
618	#123	—	13	32	no	—
619	#123	—	13	32	no	—
620	#123	—	13	32	no	—
621	#123	—	13	32	no	—
622	#123	C₂²×D₁₃	1	16	yes	—
623	C₂²⋊Q₈	—	13	32	no	—
624	C₂²⋊Q₈	—	13	32	no	—
625	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
626	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
627	#121	—	13	32	no	—
628	#121	—	13	32	no	—
629	#121	—	13	32	no	—
630	#121	—	13	16	no	—
631	#121	—	13	16	no	—
632	#121	—	13	16	no	—
633	#121	—	13	16	no	—
634	#121	—	13	16	no	—
635	#121	—	13	16	no	—
636	#121	C₂²×D₁₃	1	8	yes	complemented
637	#121	C₂²×D₁₃	1	8	yes	complemented
638	#120	—	13	32	no	—
639	#120	C₂²×D₁₃	1	16	yes	—
640	C₄×Q₈	—	13	16	no	—
641	C₄×D₄	—	13	16	no	—
642	C₄×D₄	—	13	32	no	—
643	C₄×D₄	—	13	16	no	—
644	C₄×D₄	—	13	16	no	—
645	C₄×D₄	—	13	32	no	—
646	C₄×D₄	—	13	32	no	—
647	C₄×D₄	—	13	16	no	—
648	C₄×D₄	—	13	16	no	—
649	C₄×D₄	C₂²×D₁₃	1	16	yes	complemented
650	C₄×D₄	C₂²×D₁₃	1	16	yes	complemented
651	#117	—	13	8	no	—
652	#117	—	13	8	no	—
653	#117	—	13	16	no	—
654	#117	—	13	16	no	—
655	#117	—	13	8	no	—
656	#117	—	13	8	no	—
657	#117	—	13	16	no	—
658	#117	—	13	32	no	—
659	#117	C₂²×D₁₃	1	8	yes	—
660	C₂×C₄⋊C₄	—	13	1	no	—
661	C₂×C₄⋊C₄	—	13	2	no	—
662	C₂×C₄⋊C₄	—	13	1	no	—
663	C₂×C₄⋊C₄	—	13	1	no	—
664	C₂×C₄⋊C₄	—	13	1	no	—
665	C₂×C₄⋊C₄	—	13	2	no	—
666	C₂×C₄⋊C₄	—	13	2	no	—
667	C₂×C₄⋊C₄	—	13	8	no	—
668	C₂×C₄⋊C₄	—	13	8	no	—
669	C₂×C₄⋊C₄	—	13	2	no	—
670	C₂×C₄⋊C₄	—	13	4	no	—
671	C₂×C₄⋊C₄	—	13	8	no	—
672	C₂×C₄⋊C₄	—	13	16	no	—
673	C₂×C₄⋊C₄	—	13	4	no	—
674	C₂×C₄⋊C₄	—	13	4	no	—
675	C₂×C₄⋊C₄	—	13	4	no	—
676	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
677	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
678	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
679	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
680	C₂×C₂²⋊C₄	—	13	2	no	—
681	C₂×C₂²⋊C₄	—	13	2	no	—
682	C₂×C₂²⋊C₄	—	13	2	no	—
683	C₂×C₂²⋊C₄	—	13	2	no	—
684	C₂×C₂²⋊C₄	—	13	16	no	—
685	C₂×C₂²⋊C₄	—	13	4	no	—
686	C₂×C₂²⋊C₄	—	13	4	no	—
687	C₂×C₂²⋊C₄	—	13	4	no	—
688	C₂×C₂²⋊C₄	—	13	4	no	—
689	C₂×C₂²⋊C₄	—	13	4	no	—
690	C₂×C₂²⋊C₄	—	13	16	no	—
691	C₂×C₂²⋊C₄	—	13	4	no	—
692	C₂×C₂²⋊C₄	—	13	4	no	—
693	C₂×C₂²⋊C₄	—	13	32	no	—
694	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
695	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
696	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
697	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
698	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
699	C₂×C₄²	—	13	2	no	—
700	C₂×C₄²	—	13	2	no	—
701	C₂×C₄²	—	13	4	no	—
702	C₂×C₄²	—	13	2	no	—
703	C₂×C₄²	—	13	2	no	—
704	C₂×C₄²	—	13	16	no	—
705	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
706	C₂×C₁₃	—	2	4	no	—
707	C₂×C₁₃	—	2	4	no	—
708	C₂×C₁₃	—	4	4	no	—
709	C₂×C₁₃	—	4	2	no	—
710	C₂×C₁₃	#3494	1	4	yes	complemented
711	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
712	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
713	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
714	D₁₃	—	4	8	no	—
715	C₂⁴	—	2	4	no	—
716	C₂⁴	—	2	4	no	—
717	C₂⁴	—	4	2	no	—
718	C₂⁴	—	13	4	no	—
719	C₂⁴	—	13	8	no	—
720	C₂⁴	—	26	8	no	—
721	C₂⁴	—	52	4	no	—
722	C₂⁴	—	52	4	no	—
723	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
724	C₂⁴	C₂³×D₁₃	1	2	yes	—
725	C₂⁴	C₂³×D₁₃	1	4	yes	—
726	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
727	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
728	#41	—	2	32	no	—
729	#41	—	52	64	no	—
730	C₂×Q₈	—	2	4	no	—
731	C₂×Q₈	—	13	16	no	—
732	C₂×Q₈	—	52	8	no	—
733	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
734	C₂×D₄	—	2	8	no	—
735	C₂×D₄	—	2	8	no	—
736	C₂×D₄	—	2	4	no	—
737	C₂×D₄	—	4	4	no	—
738	C₂×D₄	—	13	16	no	—
739	C₂×D₄	—	13	16	no	—
740	C₂×D₄	—	13	16	no	—
741	C₂×D₄	—	13	16	no	—
742	C₂×D₄	—	13	8	no	—
743	C₂×D₄	—	13	8	no	—
744	C₂×D₄	—	26	16	no	—
745	C₂×D₄	—	26	8	no	—
746	C₂×D₄	—	26	8	no	—
747	C₂×D₄	—	26	32	no	—
748	C₂×D₄	—	52	8	no	—
749	C₂×D₄	—	52	8	no	—
750	C₂×D₄	—	52	8	no	—
751	C₂×D₄	—	52	32	no	—
752	C₂×D₄	C₂³×D₁₃	1	8	yes	—
753	C₂×D₄	C₂³×D₁₃	1	4	yes	—
754	C₂×D₄	C₂³×D₁₃	1	8	yes	—
755	C₂×D₄	C₂³×D₁₃	1	8	yes	—
756	C₂²×C₄	—	2	4	no	—
757	C₂²×C₄	—	2	4	no	—
758	C₂²×C₄	—	2	4	no	—
759	C₂²×C₄	—	2	4	no	—
760	C₂²×C₄	—	2	4	no	—
761	C₂²×C₄	—	2	8	no	—
762	C₂²×C₄	—	2	32	no	—
763	C₂²×C₄	—	13	8	no	—
764	C₂²×C₄	—	13	2	no	—
765	C₂²×C₄	—	13	2	no	—
766	C₂²×C₄	—	13	2	no	—
767	C₂²×C₄	—	13	2	no	—
768	C₂²×C₄	—	13	4	no	—
769	C₂²×C₄	—	13	8	no	—
770	C₂²×C₄	—	13	8	no	—
771	C₂²×C₄	—	13	16	no	—
772	C₂²×C₄	—	13	16	no	—
773	C₂²×C₄	—	13	16	no	—
774	C₂²×C₄	—	26	8	no	—
775	C₂²×C₄	—	52	8	no	—
776	C₂²×C₄	—	52	8	no	—
777	C₂²×C₄	—	52	4	no	—
778	C₂²×C₄	—	52	8	no	—
779	C₂²×C₄	—	52	4	no	—
780	C₂²×C₄	#6129	1	8	yes	complemented
781	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
782	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
783	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
784	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
785	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
786	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
787	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
788	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
789	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
790	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
791	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
792	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
793	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
794	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
795	C₄⋊C₄	—	13	4	no	—
796	C₄⋊C₄	—	13	8	no	—
797	C₄⋊C₄	—	13	4	no	—
798	C₄⋊C₄	—	13	4	no	—
799	C₄⋊C₄	—	13	4	no	—
800	C₄⋊C₄	—	13	8	no	—
801	C₄⋊C₄	—	13	8	no	—
802	C₄⋊C₄	—	13	8	no	—
803	C₄⋊C₄	—	13	16	no	—
804	C₄⋊C₄	—	13	16	no	—
805	C₄⋊C₄	—	13	16	no	—
806	C₄⋊C₄	—	13	16	no	—
807	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
808	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
809	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
810	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
811	C₂²⋊C₄	—	13	8	no	—
812	C₂²⋊C₄	—	13	8	no	—
813	C₂²⋊C₄	—	13	8	no	—
814	C₂²⋊C₄	—	13	8	no	—
815	C₂²⋊C₄	—	13	16	no	—
816	C₂²⋊C₄	—	13	16	no	—
817	C₂²⋊C₄	—	13	16	no	—
818	C₂²⋊C₄	—	13	16	no	—
819	C₂²⋊C₄	—	13	16	no	—
820	C₂²⋊C₄	—	13	16	no	—
821	C₂²⋊C₄	—	13	16	no	—
822	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
823	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
824	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
825	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
826	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
827	C₄²	—	13	8	no	—
828	C₄²	—	13	8	no	—
829	C₄²	—	13	8	no	—
830	C₄²	—	13	8	no	—
831	C₄²	—	13	16	no	—
832	C₄²	C₂³×D₁₃	1	8	yes	—
833	C₁₃	C₂×#3494	1	1	yes	characteristic, complemented, Sylow
834	C₂³	—	2	2	no	—
835	C₂³	—	2	2	no	—
836	C₂³	—	2	2	no	—
837	C₂³	—	2	2	no	—
838	C₂³	—	2	8	no	—
839	C₂³	—	2	2	no	—
840	C₂³	—	2	4	no	—
841	C₂³	—	2	4	no	—
842	C₂³	—	2	8	no	—
843	C₂³	—	2	2	no	—
844	C₂³	—	2	2	no	—
845	C₂³	—	2	4	no	—
846	C₂³	—	4	4	no	—
847	C₂³	—	4	16	no	—
848	C₂³	—	13	8	no	—
849	C₂³	—	26	8	no	—
850	C₂³	—	26	8	no	—
851	C₂³	—	26	8	no	—
852	C₂³	—	26	16	no	—
853	C₂³	—	52	8	no	—
854	C₂³	—	52	8	no	—
855	C₂³	—	104	16	no	—
856	C₂³	C₂×#6129	1	4	yes	—
857	C₂³	#88256	1	4	yes	—
858	C₂³	C₂⁴×D₁₃	1	2	yes	—
859	C₂³	C₂⁴×D₁₃	1	4	yes	—
860	C₂³	C₂⁴×D₁₃	1	2	yes	—
861	C₂³	C₂⁴×D₁₃	1	2	yes	—
862	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
863	Q₈	—	2	8	no	—
864	Q₈	—	52	16	no	—
865	D₄	—	2	16	no	—
866	D₄	—	2	16	no	—
867	D₄	—	2	8	no	—
868	D₄	—	4	8	no	—
869	D₄	—	26	32	no	—
870	D₄	—	26	16	no	—
871	D₄	—	26	16	no	—
872	D₄	—	52	16	no	—
873	D₄	—	52	16	no	—
874	D₄	—	52	16	no	—
875	C₂×C₄	—	2	8	no	—
876	C₂×C₄	—	2	2	no	—
877	C₂×C₄	—	2	2	no	—
878	C₂×C₄	—	2	4	no	—
879	C₂×C₄	—	2	4	no	—
880	C₂×C₄	—	2	4	no	—
881	C₂×C₄	—	2	8	no	—
882	C₂×C₄	—	2	8	no	—
883	C₂×C₄	—	2	8	no	—
884	C₂×C₄	—	2	8	no	—
885	C₂×C₄	—	2	16	no	—
886	C₂×C₄	—	13	4	no	—
887	C₂×C₄	—	13	4	no	—
888	C₂×C₄	—	13	4	no	—
889	C₂×C₄	—	13	4	no	—
890	C₂×C₄	—	13	8	no	—
891	C₂×C₄	—	26	4	no	—
892	C₂×C₄	—	26	4	no	—
893	C₂×C₄	—	26	16	no	—
894	C₂×C₄	—	26	8	no	—
895	C₂×C₄	—	26	4	no	—
896	C₂×C₄	—	26	4	no	—
897	C₂×C₄	—	52	16	no	—
898	C₂×C₄	—	52	16	no	—
899	C₂×C₄	—	52	8	no	—
900	C₂×C₄	—	52	8	no	—
901	C₂×C₄	—	52	16	no	—
902	C₂×C₄	C₂×#6129	1	4	yes	—
903	C₂×C₄	C₂×#6129	1	4	yes	—
904	C₂×C₄	C₂×#6129	1	16	yes	complemented
905	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
906	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
907	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
908	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
909	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
910	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
911	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
912	C₂²	—	2	8	no	—
913	C₂²	—	2	8	no	—
914	C₂²	—	2	2	no	—
915	C₂²	—	2	2	no	—
916	C₂²	—	2	2	no	—
917	C₂²	—	2	2	no	—
918	C₂²	—	2	2	no	—
919	C₂²	—	2	4	no	—
920	C₂²	—	2	4	no	—
921	C₂²	—	2	2	no	—
922	C₂²	—	2	2	no	—
923	C₂²	—	2	4	no	—
924	C₂²	—	4	16	no	—
925	C₂²	—	4	8	no	—
926	C₂²	—	4	4	no	—
927	C₂²	—	26	8	no	—
928	C₂²	—	26	8	no	—
929	C₂²	—	26	8	no	—
930	C₂²	—	52	16	no	—
931	C₂²	—	104	16	no	—
932	C₂²	C₂²×#6129	1	4	yes	—
933	C₂²	C₂²×#6129	1	2	yes	—
934	C₂²	C₂×#88256	1	4	yes	—
935	C₂²	C₂×#88256	1	2	yes	—
936	C₂²	#11719648	1	2	yes	—
937	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
938	C₄	—	2	2	no	—
939	C₄	—	2	2	no	—
940	C₄	—	2	4	no	—
941	C₄	—	2	4	no	—
942	C₄	—	2	4	no	—
943	C₄	—	26	4	no	—
944	C₄	—	26	4	no	—
945	C₄	—	26	8	no	—
946	C₄	—	26	4	no	—
947	C₄	—	26	4	no	—
948	C₄	C₂²×#6129	1	4	yes	—
949	C₄	C₂²×#6129	1	4	yes	—
950	C₂	—	2	4	no	—
951	C₂	—	2	4	no	—
952	C₂	—	4	2	no	—
953	C₂	—	4	4	no	—
954	C₂	—	52	8	no	—
955	C₂	#13128573	1	4	yes	direct product factor
956	C₂	C₂³×#6129	1	1	yes	characteristic
957	C₂	C₂²×#88256	1	1	yes	characteristic
958	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×#525	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#525	D₁₃
hypocenter	C₁₃	C₂×#3494
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. #13128573	C₂	direct (N × H)
2. C₂×#11719268	C₂	semidirect
3. C₂×#11719270	C₂	semidirect
4. C₂×#11719270	C₂	semidirect
5. C₂×#11719363	C₂	semidirect
6. C₂×#11719260	C₂	semidirect
7. C₂×#11719296	C₂	semidirect
8. C₂×#11719224	C₂	semidirect
9. C₂×#11719348	C₂	semidirect
10. C₂×#11719324	C₂	semidirect
11. C₂×#11719535	C₂	semidirect
12. C₂×#11719301	C₂	semidirect
13. C₂×#11719329	C₂	semidirect
14. C₂²×#88184	C₂	semidirect
15. C₂×#11719532	C₂	semidirect
16. C₂×#11719226	C₂	semidirect
17. C₂²×#88180	C₂	semidirect
18. C₂×C₁₃×#525	C₂	semidirect
22. C₂²×#6129	C₂²	semidirect
24. C₁₃×#525	C₂²	semidirect
26. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
27. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
28. C₂×C₁₃×#121	C₂²	semidirect
29. C₂×C₁₃×#121	C₂²	semidirect
31. C₂×C₄×D₄×C₁₃	C₂²	semidirect
32. C₂×C₄×D₄×C₁₃	C₂²	semidirect
35. #11719535	C₂²	semidirect
36. #11719532	C₂²	semidirect
37. C₂×#88201	C₂²	semidirect
38. C₂×Q₈×Dic₁₃	C₂²	semidirect
39. C₂×#88194	C₂²	semidirect
40. C₂×#88193	C₂²	semidirect
41. C₂×#88193	C₂²	semidirect
42. C₂×#88192	C₂²	semidirect
45. C₂×D₄×Dic₁₃	C₂²	semidirect
50. C₂×#88184	C₂²	semidirect
51. C₂×#88184	C₂²	semidirect
52. C₂×#88184	C₂²	semidirect
57. C₂×#88180	C₂²	semidirect
58. C₂×#88180	C₂²	semidirect
59. C₂×#88180	C₂²	semidirect
60. C₂×#88180	C₂²	semidirect
61. C₂×#88180	C₂²	semidirect
63. C₂²×C₄⋊Dic₁₃	C₂²	semidirect
64. C₂²×C₄⋊Dic₁₃	C₂²	semidirect
65. C₂²×C₄⋊Dic₁₃	C₂²	semidirect
66. C₂²×C₄×Dic₁₃	C₂²	semidirect
67. #11719363	C₂²	semidirect
68. #11719348	C₂²	semidirect
69. #11719329	C₂²	semidirect
70. #11719324	C₂²	semidirect
71. #11719301	C₂²	semidirect
72. #11719296	C₂²	semidirect
73. #11719270	C₂²	semidirect
74. #11719270	C₂²	semidirect
75. #11719268	C₂²	semidirect
76. #11719260	C₂²	semidirect
77. #11719226	C₂²	semidirect
78. #11719224	C₂²	semidirect
79. C₂×#88152	C₂²	semidirect
80. C₂×#88152	C₂²	semidirect
81. C₂×#88151	C₂²	semidirect
82. C₂×#88147	C₂²	semidirect
83. C₂×#88147	C₂²	semidirect
84. C₂×#88146	C₂²	semidirect
85. C₂×#88144	C₂²	semidirect
86. C₂×#88142	C₂²	semidirect
87. C₂×#88140	C₂²	semidirect
88. C₂×#88140	C₂²	semidirect
89. C₂×#88139	C₂²	semidirect
90. C₂×#88139	C₂²	semidirect
91. C₂×#88137	C₂²	semidirect
92. C₂×#88137	C₂²	semidirect
93. C₂×#88135	C₂²	semidirect
94. C₂×#88135	C₂²	semidirect
97. C₂×C₄×D₅₂	C₂²	semidirect
98. C₂×C₄×D₅₂	C₂²	semidirect
99. C₂×#88124	C₂²	semidirect
100. C₂×#88123	C₂²	semidirect
130. C₂×#6129	C₂³	semidirect
139. C₁₃×C₂²⋊Q₈	C₂³	semidirect
140. C₁₃×C₂²⋊Q₈	C₂³	semidirect
141. C₁₃×#121	C₂³	semidirect
142. C₁₃×#121	C₂³	semidirect
144. C₄×D₄×C₁₃	C₂³	semidirect
145. C₄×D₄×C₁₃	C₂³	semidirect
163. #88201	C₂³	semidirect
164. Q₈×Dic₁₃	C₂³	semidirect
165. #88194	C₂³	semidirect
166. #88193	C₂³	semidirect
167. #88193	C₂³	semidirect
168. #88192	C₂³	semidirect
171. D₄×Dic₁₃	C₂³	semidirect
176. #88184	C₂³	semidirect
177. #88184	C₂³	semidirect
188. #88180	C₂³	semidirect
189. #88180	C₂³	semidirect
190. #88180	C₂³	semidirect
191. #88180	C₂³	semidirect
203. C₂×C₄⋊Dic₁₃	C₂³	semidirect
204. C₂×C₄⋊Dic₁₃	C₂³	semidirect
205. C₂×C₄⋊Dic₁₃	C₂³	semidirect
213. C₂×C₄×Dic₁₃	C₂³	semidirect
214. #88152	C₂³	semidirect
215. #88152	C₂³	semidirect
216. #88151	C₂³	semidirect
217. #88147	C₂³	semidirect
218. #88147	C₂³	semidirect
219. #88146	C₂³	semidirect
220. #88144	C₂³	semidirect
221. #88142	C₂³	semidirect
222. #88140	C₂³	semidirect
223. #88140	C₂³	semidirect
224. #88139	C₂³	semidirect
225. #88139	C₂³	semidirect
226. #88137	C₂³	semidirect
227. #88137	C₂³	semidirect
228. #88135	C₂³	semidirect
229. #88135	C₂³	semidirect
232. C₄×D₅₂	C₂³	semidirect
233. C₄×D₅₂	C₂³	semidirect
234. #88124	C₂³	semidirect
235. #88123	C₂³	semidirect
268. C₂²×C₄×C₁₃	#41	semidirect
368. C₂×#525	D₁₃	semidirect
420. C₂×C₄×C₁₃	C₂×#41	semidirect
478. #525	C₂×D₁₃	semidirect
486. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
487. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
498. C₂×#121	C₂×D₁₃	semidirect
499. C₂×#121	C₂×D₁₃	semidirect
513. C₂×C₄×D₄	C₂×D₁₃	semidirect
514. C₂×C₄×D₄	C₂×D₁₃	semidirect
625. C₂²⋊Q₈	C₂²×D₁₃	semidirect
626. C₂²⋊Q₈	C₂²×D₁₃	semidirect
636. #121	C₂²×D₁₃	semidirect
637. #121	C₂²×D₁₃	semidirect
649. C₄×D₄	C₂²×D₁₃	semidirect
650. C₄×D₄	C₂²×D₁₃	semidirect
710. C₂×C₁₃	#3494	semidirect
780. C₂²×C₄	#6129	semidirect
833. C₁₃	C₂×#3494	semidirect
904. C₂×C₄	C₂×#6129	semidirect
955. C₂	#13128573	direct (N × H)

Maximal subgroups

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

subgroup	index
#13128573	2
C₂×#11719268	2
C₂×#11719270	2
C₂×#11719363	2
C₂×#11719260	2
C₂×#11719296	2
C₂×#11719224	2
C₂×#11719348	2
C₂×#11719324	2
C₂×#11719535	2
C₂×#11719301	2
C₂×#11719329	2
C₂²×#88184	2
C₂×#11719532	2
C₂×#11719226	2
C₂²×#88180	2
C₂×C₁₃×#525	2
C₂×#3494	13

Subgroups — C2×#13128573 #16771267

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13128573 #16771267