Subgroups — C₂×#13129532 #16770351

Order 3328.

6726 conjugacy classes of subgroups.

The subgroup lattice has 1108 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129532	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719404	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719404	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11719377	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719388	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11719273	C₂	1	2	yes	maximal, complemented
7	C₂×#11719238	C₂	1	2	yes	maximal, complemented
8	C₂×#11719407	C₂	1	2	yes	maximal, complemented
9	C₂×#11719261	C₂	1	2	yes	maximal, complemented
10	C₂×#11719410	C₂	1	2	yes	maximal, complemented
11	C₂×#11719232	C₂	1	2	yes	maximal, complemented
12	C₂×#11719345	C₂	1	2	yes	maximal, complemented
13	C₂×#11719367	C₂	1	2	yes	maximal, complemented
14	C₂×#11719266	C₂	1	2	yes	maximal, complemented
15	C₂×#11719362	C₂	1	2	yes	maximal, complemented
16	C₂×#11719265	C₂	1	2	yes	maximal, complemented
17	C₂×#11719318	C₂	1	2	yes	maximal, complemented
18	C₂×#11719184	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#11719184	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#529	C₂²	1	16	yes	complemented
22	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
23	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
24	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
26	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
28	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
30	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
31	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
32	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
33	C₂×#88201	C₂²	1	2	yes	—
34	C₂×#88198	C₂²	1	2	yes	complemented
35	C₂×#88193	C₂²	1	2	yes	—
36	C₂×#88192	C₂²	1	2	yes	—
37	C₂×#88191	C₂²	1	2	yes	—
38	C₂×#88191	C₂²	1	2	yes	complemented
39	C₂×#88190	C₂²	1	2	yes	complemented
40	C₂×#88189	C₂²	1	2	yes	—
41	C₂×#88184	C₂²	1	1	yes	characteristic
42	C₂×#88184	C₂²	1	1	yes	characteristic
43	C₂×#88183	C₂²	1	2	yes	—
44	C₂×#88183	C₂²	1	2	yes	complemented
45	C₂×#88183	C₂²	1	2	yes	complemented
46	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	—
47	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
48	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
49	C₂²×#6103	C₂²	1	2	yes	complemented
50	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
51	C₂×#88178	C₂²	1	2	yes	complemented
52	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
53	#11719410	C₂²	1	32	yes	complemented
54	#11719407	C₂²	1	32	yes	complemented
55	#11719404	C₂²	1	16	yes	complemented
56	#11719404	C₂²	1	16	yes	complemented
57	#11719388	C₂²	1	16	yes	complemented
58	#11719377	C₂²	1	16	yes	complemented
59	#11719367	C₂²	1	32	yes	complemented
60	#11719362	C₂²	1	32	yes	complemented
61	#11719345	C₂²	1	32	yes	complemented
62	#11719318	C₂²	1	32	yes	complemented
63	#11719273	C₂²	1	32	yes	complemented
64	#11719266	C₂²	1	32	yes	complemented
65	#11719265	C₂²	1	32	yes	complemented
66	#11719261	C₂²	1	32	yes	complemented
67	#11719238	C₂²	1	32	yes	complemented
68	#11719232	C₂²	1	32	yes	complemented
69	C₂×#88152	C₂²	1	2	yes	complemented
70	C₂×#88152	C₂²	1	2	yes	complemented
71	C₂×#88152	C₂²	1	2	yes	complemented
72	C₂×#88152	C₂²	1	2	yes	complemented
73	C₂×#88152	C₂²	1	2	yes	complemented
74	C₂×#88151	C₂²	1	2	yes	complemented
75	C₂×#88151	C₂²	1	2	yes	complemented
76	C₂×#88150	C₂²	1	2	yes	complemented
77	C₂×#88150	C₂²	1	2	yes	complemented
78	C₂×#88150	C₂²	1	2	yes	complemented
79	C₂×#88150	C₂²	1	2	yes	complemented
80	C₂×#88148	C₂²	1	2	yes	—
81	C₂×#88148	C₂²	1	2	yes	—
82	C₂×#88148	C₂²	1	2	yes	—
83	C₂×#88147	C₂²	1	2	yes	—
84	C₂×#88146	C₂²	1	2	yes	complemented
85	C₂×#88142	C₂²	1	2	yes	complemented
86	C₂×#88142	C₂²	1	2	yes	complemented
87	C₂×#88141	C₂²	1	2	yes	complemented
88	C₂×#88141	C₂²	1	2	yes	complemented
89	C₂×#88139	C₂²	1	2	yes	—
90	C₂×#88139	C₂²	1	2	yes	—
91	C₂×#88139	C₂²	1	2	yes	—
92	C₂×#88139	C₂²	1	2	yes	—
93	C₂×#88139	C₂²	1	2	yes	complemented
94	C₂×#88139	C₂²	1	2	yes	complemented
95	C₂×#88138	C₂²	1	2	yes	—
96	C₂×#88137	C₂²	1	2	yes	—
97	C₂×#88136	C₂²	1	2	yes	—
98	C₂×#88136	C₂²	1	2	yes	—
99	C₂×#88135	C₂²	1	2	yes	—
100	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
101	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
102	C₂×#88133	C₂²	1	2	yes	complemented
103	C₂×#88133	C₂²	1	2	yes	complemented
104	C₂×#88133	C₂²	1	2	yes	complemented
105	C₂×#88133	C₂²	1	2	yes	complemented
106	C₂×#88132	C₂²	1	2	yes	complemented
107	C₂×#88132	C₂²	1	2	yes	complemented
108	C₂×#88131	C₂²	1	2	yes	complemented
109	#11719184	C₂²	1	16	yes	complemented
110	#11719184	C₂²	1	16	yes	complemented
111	C₂×#88130	C₂²	1	2	yes	complemented
112	C₂×#88130	C₂²	1	2	yes	complemented
113	C₂×#88130	C₂²	1	2	yes	complemented
114	C₂×#88129	C₂²	1	1	yes	characteristic
115	C₂×#88129	C₂²	1	1	yes	characteristic
116	C₂×#88129	C₂²	1	2	yes	—
117	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
118	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
119	C₂×#88126	C₂²	1	2	yes	complemented
120	C₂×#88126	C₂²	1	2	yes	complemented
121	C₂×#88126	C₂²	1	2	yes	complemented
122	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
123	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₄×Dic₂₆	C₂²	1	2	yes	complemented
125	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
127	C₂⁴×D₁₃	C₂³	1	2	yes	—
128	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
129	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
130	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
131	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
132	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
133	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
134	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
135	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
136	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
137	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
138	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
139	C₂³×Dic₁₃	C₂³	1	2	yes	—
140	C₂²×D₅₂	C₂³	1	1	yes	characteristic
141	C₂²×D₅₂	C₂³	1	1	yes	characteristic
142	C₂²×D₅₂	C₂³	1	2	yes	—
143	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
144	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
145	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
146	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
147	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
148	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
149	C₂²×Dic₂₆	C₂³	1	2	yes	—
150	C₂²×Dic₂₆	C₂³	1	2	yes	—
151	C₂²×Dic₂₆	C₂³	1	2	yes	—
152	C₁₃×#126	C₂³	1	16	yes	complemented
153	C₁₃×#125	C₂³	1	8	yes	complemented
154	C₁₃×#124	C₂³	1	8	yes	—
155	C₁₃×#123	C₂³	1	16	yes	complemented
156	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
157	C₁₃×#121	C₂³	1	8	yes	—
158	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
159	C₄×D₄×C₁₃	C₂³	1	8	yes	—
160	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
161	C₁₃×#117	C₂³	1	16	yes	complemented
162	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
163	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
164	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
165	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
166	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
167	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
168	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
169	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
170	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
172	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
173	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
174	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
175	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
176	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
177	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
178	C₂×C₄²×C₁₃	C₂³	1	8	yes	complemented
179	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
180	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
181	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
182	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
183	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
184	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
185	#88201	C₂³	1	16	yes	—
186	#88198	C₂³	1	16	yes	complemented
187	#88193	C₂³	1	16	yes	—
188	#88192	C₂³	1	16	yes	—
189	#88191	C₂³	1	16	yes	—
190	#88191	C₂³	1	16	yes	complemented
191	#88190	C₂³	1	16	yes	complemented
192	#88189	C₂³	1	16	yes	—
193	#88184	C₂³	1	8	yes	—
194	#88184	C₂³	1	8	yes	—
195	#88183	C₂³	1	16	yes	—
196	#88183	C₂³	1	16	yes	complemented
197	#88183	C₂³	1	16	yes	complemented
198	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	—
199	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
200	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
201	C₂×#6103	C₂³	1	2	yes	—
202	C₂×#6103	C₂³	1	2	yes	—
203	C₂×#6103	C₂³	1	2	yes	—
204	C₂×#6103	C₂³	1	2	yes	—
205	C₂×#6103	C₂³	1	2	yes	—
206	C₂×#6103	C₂³	1	2	yes	—
207	C₂×#6103	C₂³	1	2	yes	—
208	C₂×#6103	C₂³	1	2	yes	—
209	C₂×#6103	C₂³	1	2	yes	—
210	C₂×#6103	C₂³	1	2	yes	—
211	C₂×#6103	C₂³	1	2	yes	—
212	C₂×#6103	C₂³	1	2	yes	—
213	C₂×#6103	C₂³	1	2	yes	—
214	C₂×#6103	C₂³	1	2	yes	—
215	C₂×#6103	C₂³	1	2	yes	—
216	C₂×#6103	C₂³	1	2	yes	—
217	C₂×#6103	C₂³	1	16	yes	complemented
218	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
221	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
224	#88178	C₂³	1	8	yes	complemented
225	#88178	C₂³	1	8	yes	complemented
226	#88178	C₂³	1	16	yes	complemented
227	C₂×#6101	C₂³	1	2	yes	—
228	C₂×#6101	C₂³	1	2	yes	—
229	C₂×#6101	C₂³	1	2	yes	—
230	C₂×#6101	C₂³	1	2	yes	—
231	C₂×#6101	C₂³	1	2	yes	—
232	C₂×#6101	C₂³	1	2	yes	—
233	C₂×#6101	C₂³	1	2	yes	—
234	C₂×#6101	C₂³	1	2	yes	—
235	C₂×#6101	C₂³	1	2	yes	—
236	C₂×#6101	C₂³	1	2	yes	—
237	C₂×#6101	C₂³	1	2	yes	—
238	C₂×#6101	C₂³	1	2	yes	—
239	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
240	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
241	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
242	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
243	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
244	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
245	#88152	C₂³	1	16	yes	complemented
246	#88152	C₂³	1	16	yes	complemented
247	#88152	C₂³	1	16	yes	complemented
248	#88152	C₂³	1	16	yes	complemented
249	#88152	C₂³	1	16	yes	complemented
250	#88151	C₂³	1	16	yes	complemented
251	#88151	C₂³	1	16	yes	complemented
252	#88150	C₂³	1	16	yes	complemented
253	#88150	C₂³	1	16	yes	complemented
254	#88150	C₂³	1	16	yes	complemented
255	#88150	C₂³	1	16	yes	complemented
256	#88148	C₂³	1	16	yes	—
257	#88148	C₂³	1	16	yes	—
258	#88148	C₂³	1	16	yes	—
259	#88147	C₂³	1	16	yes	—
260	#88146	C₂³	1	16	yes	complemented
261	#88142	C₂³	1	16	yes	complemented
262	#88142	C₂³	1	16	yes	complemented
263	#88141	C₂³	1	16	yes	complemented
264	#88141	C₂³	1	16	yes	complemented
265	#88139	C₂³	1	16	yes	—
266	#88139	C₂³	1	16	yes	—
267	#88139	C₂³	1	16	yes	—
268	#88139	C₂³	1	16	yes	—
269	#88139	C₂³	1	16	yes	complemented
270	#88139	C₂³	1	16	yes	complemented
271	#88138	C₂³	1	16	yes	—
272	#88137	C₂³	1	16	yes	—
273	#88136	C₂³	1	16	yes	—
274	#88136	C₂³	1	16	yes	—
275	#88135	C₂³	1	16	yes	—
276	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
277	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
278	#88133	C₂³	1	16	yes	complemented
279	#88133	C₂³	1	16	yes	complemented
280	#88133	C₂³	1	16	yes	complemented
281	#88133	C₂³	1	16	yes	complemented
282	#88132	C₂³	1	16	yes	complemented
283	#88132	C₂³	1	16	yes	complemented
284	#88131	C₂³	1	16	yes	complemented
285	#88130	C₂³	1	16	yes	complemented
286	#88130	C₂³	1	16	yes	complemented
287	#88130	C₂³	1	16	yes	complemented
288	#88129	C₂³	1	8	yes	—
289	#88129	C₂³	1	8	yes	—
290	#88129	C₂³	1	16	yes	—
291	C₄×D₅₂	C₂³	1	8	yes	—
292	C₄×D₅₂	C₂³	1	8	yes	—
293	#88126	C₂³	1	16	yes	complemented
294	#88126	C₂³	1	16	yes	complemented
295	#88126	C₂³	1	16	yes	complemented
296	#88124	C₂³	1	8	yes	complemented
297	#88124	C₂³	1	8	yes	complemented
298	C₄×Dic₂₆	C₂³	1	8	yes	complemented
299	C₄×Dic₂₆	C₂³	1	8	yes	complemented
300	C₄×Dic₂₆	C₂³	1	16	yes	complemented
301	C₂×#3568	—	13	1	no	maximal, Sylow
302	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
303	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
304	C₂³×D₁₃	—	4	4	no	—
305	C₂³×D₁₃	—	4	4	no	—
306	C₂³×D₁₃	—	4	4	no	—
307	C₂³×D₁₃	C₂⁴	1	2	yes	—
308	C₂³×D₁₃	C₂⁴	1	2	yes	—
309	C₂³×D₁₃	C₂⁴	1	8	yes	—
310	C₂×Q₈×C₁₃	—	4	2	no	—
311	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
312	C₂×D₄×C₁₃	—	4	4	no	—
313	C₂×D₄×C₁₃	—	4	2	no	—
314	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
315	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
316	C₂²×C₄×C₁₃	—	4	4	no	—
317	C₂²×C₄×C₁₃	—	4	2	no	—
318	C₂²×C₄×C₁₃	—	4	2	no	—
319	C₂²×C₄×C₁₃	—	4	2	no	—
320	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
321	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
322	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
323	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
324	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
325	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
326	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
330	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
331	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
332	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
333	C₂×C₂²⋊D₁₃	—	4	4	no	—
334	C₂×C₂²⋊D₁₃	—	4	4	no	—
335	C₂×C₂²⋊D₁₃	—	4	4	no	—
336	C₂×C₂²⋊D₁₃	—	4	4	no	—
337	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
338	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
339	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
340	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
341	C₂²×Dic₁₃	—	4	4	no	—
342	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
343	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
344	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
345	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
346	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
347	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
348	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
349	C₂×D₅₂	—	4	2	no	—
350	C₂×D₅₂	—	4	2	no	—
351	C₂×D₅₂	—	4	4	no	—
352	C₂×D₅₂	C₂⁴	1	4	yes	—
353	C₂×D₅₂	C₂⁴	1	4	yes	—
354	C₂×D₅₂	C₂⁴	1	8	yes	—
355	C₂×C₄×D₁₃	—	4	4	no	—
356	C₂×C₄×D₁₃	—	4	4	no	—
357	C₂×C₄×D₁₃	—	4	4	no	—
358	C₂×C₄×D₁₃	—	4	4	no	—
359	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
360	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
361	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
362	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
363	C₂×Dic₂₆	—	4	2	no	—
364	C₂×Dic₂₆	—	4	2	no	—
365	C₂×Dic₂₆	—	4	4	no	—
366	C₂×Dic₂₆	—	4	4	no	—
367	C₂×Dic₂₆	—	4	4	no	—
368	C₂×Dic₂₆	C₂⁴	1	4	yes	—
369	C₂×Dic₂₆	C₂⁴	1	4	yes	—
370	C₂×Dic₂₆	C₂⁴	1	8	yes	—
371	C₂×Dic₂₆	C₂⁴	1	8	yes	—
372	C₂×Dic₂₆	C₂⁴	1	8	yes	—
373	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
374	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
375	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
376	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
377	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
378	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
379	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
380	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
381	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
382	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
383	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
384	C₄²×C₁₃	C₂⁴	1	4	yes	—
385	C₄²×C₁₃	C₂⁴	1	8	yes	—
386	C₄²×C₁₃	C₂⁴	1	4	yes	—
387	C₄²×C₁₃	C₂⁴	1	4	yes	—
388	C₄²×C₁₃	C₂⁴	1	4	yes	—
389	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
390	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
391	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
392	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
393	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
394	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
395	#6103	C₂⁴	1	8	yes	—
396	#6103	C₂⁴	1	8	yes	—
397	#6103	C₂⁴	1	8	yes	—
398	#6103	C₂⁴	1	8	yes	—
399	#6103	C₂⁴	1	8	yes	—
400	#6103	C₂⁴	1	8	yes	—
401	#6103	C₂⁴	1	8	yes	—
402	#6103	C₂⁴	1	8	yes	—
403	#6103	C₂⁴	1	8	yes	—
404	#6103	C₂⁴	1	8	yes	—
405	#6103	C₂⁴	1	8	yes	—
406	#6103	C₂⁴	1	8	yes	—
407	#6103	C₂⁴	1	8	yes	—
408	#6103	C₂⁴	1	8	yes	—
409	#6103	C₂⁴	1	8	yes	—
410	#6103	C₂⁴	1	8	yes	—
411	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
412	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
413	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
414	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
415	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
416	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
417	#6101	C₂⁴	1	8	yes	—
418	#6101	C₂⁴	1	8	yes	—
419	#6101	C₂⁴	1	8	yes	—
420	#6101	C₂⁴	1	8	yes	—
421	#6101	C₂⁴	1	8	yes	—
422	#6101	C₂⁴	1	8	yes	—
423	#6101	C₂⁴	1	8	yes	—
424	#6101	C₂⁴	1	8	yes	—
425	#6101	C₂⁴	1	8	yes	—
426	#6101	C₂⁴	1	8	yes	—
427	#6101	C₂⁴	1	8	yes	—
428	#6101	C₂⁴	1	8	yes	—
429	C₄×Dic₁₃	C₂⁴	1	8	yes	—
430	C₄×Dic₁₃	C₂⁴	1	8	yes	—
431	C₄×Dic₁₃	C₂⁴	1	8	yes	—
432	C₄×Dic₁₃	C₂⁴	1	8	yes	—
433	C₄×Dic₁₃	C₂⁴	1	8	yes	—
434	C₄×Dic₁₃	C₂⁴	1	8	yes	—
435	#3568	—	13	32	no	—
436	C₂×#563	—	13	1	no	—
437	C₂×#563	—	13	1	no	—
438	C₂×#563	—	13	1	no	—
439	C₂×H(3,𝔽₄)	—	13	1	no	—
440	C₂×#556	—	13	2	no	—
441	C₂×#556	—	13	2	no	—
442	C₂×#556	—	13	2	no	—
443	C₂×#551	—	13	2	no	—
444	C₂×#551	—	13	2	no	—
445	C₂×#551	—	13	2	no	—
446	C₂×#542	—	13	2	no	—
447	C₂×#542	—	13	2	no	—
448	C₂×#542	—	13	2	no	—
449	C₂×#538	—	13	2	no	—
450	C₂×#538	—	13	2	no	—
451	C₂×#538	—	13	2	no	—
452	C₂×#529	—	13	1	no	—
453	C₂×#529	—	13	1	no	—
454	C₂×#529	D₁₃	1	1	yes	characteristic, complemented
455	C₂³×C₁₃	—	2	4	no	—
456	C₂³×C₁₃	—	2	2	no	—
457	C₂³×C₁₃	—	2	2	no	—
458	C₂³×C₁₃	—	2	4	no	—
459	C₂³×C₁₃	—	2	4	no	—
460	C₂³×C₁₃	—	2	2	no	—
461	C₂³×C₁₃	C₂⁵	1	4	yes	—
462	C₂³×C₁₃	C₂⁵	1	2	yes	—
463	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
464	C₂²×D₁₃	—	2	4	no	—
465	C₂²×D₁₃	—	2	4	no	—
466	C₂²×D₁₃	—	2	4	no	—
467	C₂²×D₁₃	—	2	4	no	—
468	C₂²×D₁₃	—	2	4	no	—
469	C₂²×D₁₃	—	2	4	no	—
470	C₂²×D₁₃	—	4	8	no	—
471	C₂²×D₁₃	—	4	8	no	—
472	C₂²×D₁₃	—	4	8	no	—
473	C₂²×D₁₃	—	8	16	no	—
474	C₂²×D₁₃	C₂⁵	1	4	yes	—
475	C₂²×D₁₃	C₂⁵	1	4	yes	—
476	Q₈×C₁₃	—	4	4	no	—
477	D₄×C₁₃	—	4	8	no	—
478	D₄×C₁₃	—	4	4	no	—
479	C₂×C₄×C₁₃	—	2	4	no	—
480	C₂×C₄×C₁₃	—	2	4	no	—
481	C₂×C₄×C₁₃	—	2	2	no	—
482	C₂×C₄×C₁₃	—	2	2	no	—
483	C₂×C₄×C₁₃	—	2	4	no	—
484	C₂×C₄×C₁₃	—	2	2	no	—
485	C₂×C₄×C₁₃	—	2	2	no	—
486	C₂×C₄×C₁₃	—	2	2	no	—
487	C₂×C₄×C₁₃	—	2	2	no	—
488	C₂×C₄×C₁₃	—	4	8	no	—
489	C₂×C₄×C₁₃	—	4	4	no	—
490	C₂×C₄×C₁₃	—	4	4	no	—
491	C₂×C₄×C₁₃	—	4	4	no	—
492	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
493	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
494	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
495	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
496	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
497	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
498	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
499	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
500	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
501	C₂²⋊D₁₃	—	4	8	no	—
502	C₂²⋊D₁₃	—	4	8	no	—
503	C₂²⋊D₁₃	—	4	8	no	—
504	C₂²⋊D₁₃	—	4	8	no	—
505	C₂×Dic₁₃	—	2	4	no	—
506	C₂×Dic₁₃	—	2	4	no	—
507	C₂×Dic₁₃	—	2	4	no	—
508	C₂×Dic₁₃	—	2	4	no	—
509	C₂×Dic₁₃	—	2	4	no	—
510	C₂×Dic₁₃	—	2	4	no	—
511	C₂×Dic₁₃	—	4	8	no	—
512	C₂×Dic₁₃	C₂⁵	1	4	yes	—
513	C₂×Dic₁₃	C₂⁵	1	4	yes	—
514	C₂×Dic₁₃	C₂⁵	1	4	yes	—
515	C₂×Dic₁₃	C₂⁵	1	4	yes	—
516	C₂×Dic₁₃	C₂⁵	1	4	yes	—
517	C₂×Dic₁₃	C₂⁵	1	4	yes	—
518	D₅₂	—	4	4	no	—
519	D₅₂	—	4	4	no	—
520	D₅₂	—	4	8	no	—
521	C₄×D₁₃	—	4	8	no	—
522	C₄×D₁₃	—	4	8	no	—
523	C₄×D₁₃	—	4	8	no	—
524	C₄×D₁₃	—	4	8	no	—
525	Dic₂₆	—	4	4	no	—
526	Dic₂₆	—	4	4	no	—
527	Dic₂₆	—	4	8	no	—
528	Dic₂₆	—	4	8	no	—
529	Dic₂₆	—	4	8	no	—
530	#563	—	13	16	no	—
531	#563	—	13	16	no	—
532	#563	—	13	16	no	—
533	H(3,𝔽₄)	—	13	16	no	—
534	#556	—	13	32	no	—
535	#556	—	13	32	no	—
536	#556	—	13	32	no	—
537	#551	—	13	32	no	—
538	#551	—	13	32	no	—
539	#551	—	13	32	no	—
540	#542	—	13	32	no	—
541	#542	—	13	32	no	—
542	#542	—	13	32	no	—
543	#538	—	13	32	no	—
544	#538	—	13	32	no	—
545	#538	—	13	32	no	—
546	C₂×C₄⋊Q₈	—	13	2	no	—
547	C₂×C₄⋊Q₈	—	13	2	no	—
548	C₂×C₄⋊Q₈	—	13	2	no	—
549	#529	—	13	16	no	—
550	#529	—	13	16	no	—
551	#529	C₂×D₁₃	1	16	yes	complemented
552	C₂×#126	—	13	2	no	—
553	C₂×#126	—	13	2	no	—
554	C₂×#126	—	13	2	no	—
555	C₂×#126	—	13	2	no	—
556	C₂×#126	—	13	2	no	—
557	C₂×#126	—	13	2	no	—
558	C₂×#126	—	13	2	no	—
559	C₂×#126	—	13	2	no	—
560	C₂×#126	—	13	2	no	—
561	C₂×#126	—	13	2	no	—
562	C₂×#126	—	13	2	no	—
563	C₂×#126	—	13	2	no	—
564	C₂×#126	C₂×D₁₃	1	2	yes	complemented
565	C₂×#125	—	13	1	no	—
566	C₂×#125	—	13	1	no	—
567	C₂×#125	C₂×D₁₃	1	1	yes	characteristic, complemented
568	C₂×#124	—	13	2	no	—
569	C₂×#124	—	13	2	no	—
570	C₂×#124	—	13	2	no	—
571	C₂×#124	—	13	2	no	—
572	C₂×#124	—	13	2	no	—
573	C₂×#124	—	13	2	no	—
574	C₂×#124	—	13	2	no	—
575	C₂×#124	—	13	2	no	—
576	C₂×#124	—	13	1	no	—
577	C₂×#124	—	13	1	no	—
578	C₂×#124	—	13	2	no	—
579	C₂×#124	C₂×D₁₃	1	1	yes	characteristic
580	C₂×#123	—	13	2	no	—
581	C₂×#123	—	13	2	no	—
582	C₂×#123	—	13	2	no	—
583	C₂×#123	—	13	2	no	—
584	C₂×#123	—	13	2	no	—
585	C₂×#123	—	13	2	no	—
586	C₂×#123	—	13	2	no	—
587	C₂×#123	—	13	2	no	—
588	C₂×#123	C₂×D₁₃	1	2	yes	complemented
589	C₂×C₂²⋊Q₈	—	13	1	no	—
590	C₂×C₂²⋊Q₈	—	13	1	no	—
591	C₂×C₂²⋊Q₈	—	13	2	no	—
592	C₂×C₂²⋊Q₈	—	13	2	no	—
593	C₂×C₂²⋊Q₈	—	13	2	no	—
594	C₂×C₂²⋊Q₈	—	13	2	no	—
595	C₂×C₂²⋊Q₈	—	13	2	no	—
596	C₂×C₂²⋊Q₈	—	13	2	no	—
597	C₂×C₂²⋊Q₈	—	13	2	no	—
598	C₂×C₂²⋊Q₈	—	13	2	no	—
599	C₂×C₂²⋊Q₈	—	13	2	no	—
600	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
601	C₂×#121	—	13	2	no	—
602	C₂×#121	—	13	2	no	—
603	C₂×#121	—	13	1	no	—
604	C₂×#121	—	13	1	no	—
605	C₂×#121	—	13	2	no	—
606	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
607	C₂×#120	—	13	2	no	—
608	C₂×#120	—	13	2	no	—
609	C₂×#120	—	13	2	no	—
610	C₂×#120	—	13	2	no	—
611	C₂×C₄×Q₈	—	13	2	no	—
612	C₂×C₄×Q₈	—	13	2	no	—
613	C₂×C₄×Q₈	—	13	1	no	—
614	C₂×C₄×Q₈	—	13	1	no	—
615	C₂×C₄×Q₈	—	13	2	no	—
616	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
617	C₂×C₄×D₄	—	13	2	no	—
618	C₂×C₄×D₄	—	13	2	no	—
619	C₂×C₄×D₄	—	13	2	no	—
620	C₂×C₄×D₄	—	13	2	no	—
621	C₂×C₄×D₄	—	13	2	no	—
622	C₂×C₄×D₄	—	13	1	no	—
623	C₂×C₄×D₄	—	13	1	no	—
624	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
625	C₂×C₄×D₄	C₂×D₁₃	1	2	yes	complemented
626	C₂×#117	—	13	2	no	—
627	C₂×#117	—	13	2	no	—
628	C₂×#117	—	13	2	no	—
629	C₂×#117	—	13	2	no	—
630	C₂×#117	—	13	2	no	—
631	C₂×#117	C₂×D₁₃	1	2	yes	complemented
632	C₂²×C₂²⋊C₄	—	13	2	no	—
633	C₂²×C₂²⋊C₄	—	13	2	no	—
634	C₂²×C₂²⋊C₄	—	13	2	no	—
635	C₂²×C₄²	C₂×D₁₃	1	1	yes	characteristic, complemented
636	C₂²×C₁₃	—	2	4	no	—
637	C₂²×C₁₃	—	2	2	no	—
638	C₂²×C₁₃	—	2	2	no	—
639	C₂²×C₁₃	—	2	4	no	—
640	C₂²×C₁₃	—	2	4	no	—
641	C₂²×C₁₃	—	2	2	no	—
642	C₂²×C₁₃	—	4	8	no	—
643	C₂²×C₁₃	—	4	4	no	—
644	C₂²×C₁₃	#585	1	2	yes	—
645	C₂²×C₁₃	#585	1	2	yes	—
646	C₂²×C₁₃	#585	1	2	yes	—
647	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
648	C₂×D₁₃	—	2	4	no	—
649	C₂×D₁₃	—	2	4	no	—
650	C₂×D₁₃	—	2	4	no	—
651	C₂×D₁₃	—	2	4	no	—
652	C₂×D₁₃	—	2	4	no	—
653	C₂×D₁₃	—	2	4	no	—
654	C₂×D₁₃	—	4	8	no	—
655	C₂×D₁₃	—	4	8	no	—
656	C₂×D₁₃	—	8	16	no	—
657	C₄×C₁₃	—	2	4	no	—
658	C₄×C₁₃	—	2	4	no	—
659	C₄×C₁₃	—	2	2	no	—
660	C₄×C₁₃	—	2	2	no	—
661	C₄×C₁₃	—	2	4	no	—
662	C₄×C₁₃	—	2	2	no	—
663	C₄×C₁₃	—	2	2	no	—
664	C₄×C₁₃	—	2	2	no	—
665	C₄×C₁₃	—	2	2	no	—
666	Dic₁₃	—	2	4	no	—
667	Dic₁₃	—	2	4	no	—
668	Dic₁₃	—	2	4	no	—
669	Dic₁₃	—	2	4	no	—
670	Dic₁₃	—	2	4	no	—
671	Dic₁₃	—	2	4	no	—
672	C₂⁵	—	13	2	no	—
673	C₂²×Q₈	—	13	2	no	—
674	C₂²×Q₈	—	13	2	no	—
675	C₂²×Q₈	—	13	2	no	—
676	C₂²×Q₈	—	13	1	no	—
677	C₂²×Q₈	—	13	1	no	—
678	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
679	C₂²×D₄	—	13	2	no	—
680	C₂²×D₄	—	13	2	no	—
681	C₂²×D₄	—	13	2	no	—
682	C₂²×D₄	—	13	2	no	—
683	C₂²×D₄	—	13	1	no	—
684	C₂²×D₄	—	13	1	no	—
685	C₂²×D₄	—	13	2	no	—
686	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
687	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
688	C₂³×C₄	—	13	2	no	—
689	C₂³×C₄	—	13	2	no	—
690	C₂³×C₄	—	13	2	no	—
691	C₂³×C₄	—	13	2	no	—
692	C₂³×C₄	—	13	2	no	—
693	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
694	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
695	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
696	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
697	C₄⋊Q₈	—	13	16	no	—
698	C₄⋊Q₈	—	13	16	no	—
699	C₄⋊Q₈	—	13	16	no	—
700	#126	—	13	16	no	—
701	#126	—	13	16	no	—
702	#126	—	13	16	no	—
703	#126	—	13	16	no	—
704	#126	—	13	16	no	—
705	#126	—	13	16	no	—
706	#126	—	13	16	no	—
707	#126	—	13	16	no	—
708	#126	—	13	16	no	—
709	#126	—	13	16	no	—
710	#126	—	13	16	no	—
711	#126	—	13	16	no	—
712	#126	C₂²×D₁₃	1	16	yes	complemented
713	#125	—	13	8	no	—
714	#125	—	13	8	no	—
715	#125	C₂²×D₁₃	1	8	yes	complemented
716	#124	—	13	16	no	—
717	#124	—	13	16	no	—
718	#124	—	13	16	no	—
719	#124	—	13	16	no	—
720	#124	—	13	16	no	—
721	#124	—	13	16	no	—
722	#124	—	13	16	no	—
723	#124	—	13	16	no	—
724	#124	—	13	8	no	—
725	#124	—	13	8	no	—
726	#124	—	13	16	no	—
727	#124	C₂²×D₁₃	1	8	yes	—
728	#123	—	13	16	no	—
729	#123	—	13	16	no	—
730	#123	—	13	16	no	—
731	#123	—	13	16	no	—
732	#123	—	13	16	no	—
733	#123	—	13	16	no	—
734	#123	—	13	16	no	—
735	#123	—	13	16	no	—
736	#123	C₂²×D₁₃	1	16	yes	complemented
737	C₂²⋊Q₈	—	13	8	no	—
738	C₂²⋊Q₈	—	13	8	no	—
739	C₂²⋊Q₈	—	13	16	no	—
740	C₂²⋊Q₈	—	13	16	no	—
741	C₂²⋊Q₈	—	13	16	no	—
742	C₂²⋊Q₈	—	13	16	no	—
743	C₂²⋊Q₈	—	13	16	no	—
744	C₂²⋊Q₈	—	13	16	no	—
745	C₂²⋊Q₈	—	13	16	no	—
746	C₂²⋊Q₈	—	13	16	no	—
747	C₂²⋊Q₈	—	13	16	no	—
748	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
749	#121	—	13	16	no	—
750	#121	—	13	16	no	—
751	#121	—	13	8	no	—
752	#121	—	13	8	no	—
753	#121	—	13	16	no	—
754	#121	C₂²×D₁₃	1	8	yes	—
755	#120	—	13	16	no	—
756	#120	—	13	16	no	—
757	#120	—	13	16	no	—
758	#120	—	13	16	no	—
759	C₄×Q₈	—	13	16	no	—
760	C₄×Q₈	—	13	16	no	—
761	C₄×Q₈	—	13	8	no	—
762	C₄×Q₈	—	13	8	no	—
763	C₄×Q₈	—	13	16	no	—
764	C₄×Q₈	C₂²×D₁₃	1	8	yes	complemented
765	C₄×D₄	—	13	16	no	—
766	C₄×D₄	—	13	16	no	—
767	C₄×D₄	—	13	16	no	—
768	C₄×D₄	—	13	16	no	—
769	C₄×D₄	—	13	16	no	—
770	C₄×D₄	—	13	8	no	—
771	C₄×D₄	—	13	8	no	—
772	C₄×D₄	C₂²×D₁₃	1	8	yes	—
773	C₄×D₄	C₂²×D₁₃	1	16	yes	complemented
774	#117	—	13	16	no	—
775	#117	—	13	16	no	—
776	#117	—	13	16	no	—
777	#117	—	13	16	no	—
778	#117	—	13	16	no	—
779	#117	C₂²×D₁₃	1	16	yes	complemented
780	C₂×C₄⋊C₄	—	13	2	no	—
781	C₂×C₄⋊C₄	—	13	2	no	—
782	C₂×C₄⋊C₄	—	13	2	no	—
783	C₂×C₄⋊C₄	—	13	2	no	—
784	C₂×C₄⋊C₄	—	13	2	no	—
785	C₂×C₄⋊C₄	—	13	2	no	—
786	C₂×C₄⋊C₄	—	13	2	no	—
787	C₂×C₄⋊C₄	—	13	2	no	—
788	C₂×C₄⋊C₄	—	13	2	no	—
789	C₂×C₄⋊C₄	—	13	1	no	—
790	C₂×C₄⋊C₄	—	13	1	no	—
791	C₂×C₄⋊C₄	—	13	2	no	—
792	C₂×C₄⋊C₄	—	13	2	no	—
793	C₂×C₄⋊C₄	—	13	1	no	—
794	C₂×C₄⋊C₄	—	13	1	no	—
795	C₂×C₄⋊C₄	—	13	2	no	—
796	C₂×C₄⋊C₄	—	13	2	no	—
797	C₂×C₄⋊C₄	—	13	2	no	—
798	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
799	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
800	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
801	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
802	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
803	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
804	C₂×C₂²⋊C₄	—	13	2	no	—
805	C₂×C₂²⋊C₄	—	13	2	no	—
806	C₂×C₂²⋊C₄	—	13	2	no	—
807	C₂×C₂²⋊C₄	—	13	2	no	—
808	C₂×C₂²⋊C₄	—	13	2	no	—
809	C₂×C₂²⋊C₄	—	13	2	no	—
810	C₂×C₂²⋊C₄	—	13	2	no	—
811	C₂×C₂²⋊C₄	—	13	2	no	—
812	C₂×C₂²⋊C₄	—	13	2	no	—
813	C₂×C₂²⋊C₄	—	13	2	no	—
814	C₂×C₂²⋊C₄	—	13	2	no	—
815	C₂×C₂²⋊C₄	—	13	2	no	—
816	C₂×C₂²⋊C₄	—	13	2	no	—
817	C₂×C₂²⋊C₄	—	13	2	no	—
818	C₂×C₂²⋊C₄	—	13	16	no	—
819	C₂×C₂²⋊C₄	—	13	2	no	—
820	C₂×C₂²⋊C₄	—	13	2	no	—
821	C₂×C₂²⋊C₄	—	13	2	no	—
822	C₂×C₂²⋊C₄	—	13	2	no	—
823	C₂×C₂²⋊C₄	—	13	2	no	—
824	C₂×C₂²⋊C₄	—	13	2	no	—
825	C₂×C₂²⋊C₄	—	13	2	no	—
826	C₂×C₂²⋊C₄	—	13	2	no	—
827	C₂×C₂²⋊C₄	—	13	16	no	—
828	C₂×C₂²⋊C₄	—	13	16	no	—
829	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
830	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
831	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
832	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
833	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
834	C₂×C₄²	—	13	2	no	—
835	C₂×C₄²	—	13	2	no	—
836	C₂×C₄²	—	13	2	no	—
837	C₂×C₄²	—	13	2	no	—
838	C₂×C₄²	—	13	2	no	—
839	C₂×C₄²	—	13	2	no	—
840	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
841	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
842	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
843	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
844	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
845	C₂×C₄²	C₂²×D₁₃	1	8	yes	complemented
846	C₂×C₁₃	—	4	4	no	—
847	C₂×C₁₃	—	4	2	no	—
848	C₂×C₁₃	#3568	1	4	yes	complemented
849	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
850	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
851	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
852	D₁₃	—	4	4	no	—
853	D₁₃	—	4	4	no	—
854	C₂⁴	—	13	2	no	—
855	C₂⁴	—	13	2	no	—
856	C₂⁴	—	13	8	no	—
857	C₂⁴	—	52	4	no	—
858	C₂⁴	—	52	4	no	—
859	C₂⁴	—	52	4	no	—
860	C₂⁴	C₂³×D₁₃	1	2	yes	—
861	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
862	C₂×Q₈	—	4	2	no	—
863	C₂×Q₈	—	13	8	no	—
864	C₂×Q₈	—	13	8	no	—
865	C₂×Q₈	—	13	8	no	—
866	C₂×Q₈	—	13	4	no	—
867	C₂×Q₈	—	13	4	no	—
868	C₂×Q₈	—	52	4	no	—
869	C₂×Q₈	—	52	2	no	—
870	C₂×Q₈	—	52	2	no	—
871	C₂×Q₈	—	52	4	no	—
872	C₂×Q₈	—	52	4	no	—
873	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
874	C₂×D₄	—	4	2	no	—
875	C₂×D₄	—	4	4	no	—
876	C₂×D₄	—	13	8	no	—
877	C₂×D₄	—	13	8	no	—
878	C₂×D₄	—	13	8	no	—
879	C₂×D₄	—	13	8	no	—
880	C₂×D₄	—	13	4	no	—
881	C₂×D₄	—	13	4	no	—
882	C₂×D₄	—	13	8	no	—
883	C₂×D₄	—	52	2	no	—
884	C₂×D₄	—	52	2	no	—
885	C₂×D₄	—	52	4	no	—
886	C₂×D₄	—	52	4	no	—
887	C₂×D₄	—	52	4	no	—
888	C₂×D₄	—	52	4	no	—
889	C₂×D₄	—	52	4	no	—
890	C₂×D₄	C₂³×D₁₃	1	4	yes	—
891	C₂×D₄	C₂³×D₁₃	1	8	yes	—
892	C₂²×C₄	—	4	4	no	—
893	C₂²×C₄	—	4	2	no	—
894	C₂²×C₄	—	4	2	no	—
895	C₂²×C₄	—	4	2	no	—
896	C₂²×C₄	—	13	2	no	—
897	C₂²×C₄	—	13	2	no	—
898	C₂²×C₄	—	13	2	no	—
899	C₂²×C₄	—	13	2	no	—
900	C₂²×C₄	—	13	2	no	—
901	C₂²×C₄	—	13	2	no	—
902	C₂²×C₄	—	13	8	no	—
903	C₂²×C₄	—	13	8	no	—
904	C₂²×C₄	—	13	8	no	—
905	C₂²×C₄	—	13	8	no	—
906	C₂²×C₄	—	13	8	no	—
907	C₂²×C₄	—	52	4	no	—
908	C₂²×C₄	—	52	4	no	—
909	C₂²×C₄	—	52	4	no	—
910	C₂²×C₄	—	52	4	no	—
911	C₂²×C₄	—	52	4	no	—
912	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
913	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
914	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
915	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
916	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
917	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
918	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
919	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
920	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
921	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
922	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
923	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
924	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
925	C₄⋊C₄	—	13	8	no	—
926	C₄⋊C₄	—	13	8	no	—
927	C₄⋊C₄	—	13	8	no	—
928	C₄⋊C₄	—	13	8	no	—
929	C₄⋊C₄	—	13	8	no	—
930	C₄⋊C₄	—	13	8	no	—
931	C₄⋊C₄	—	13	8	no	—
932	C₄⋊C₄	—	13	8	no	—
933	C₄⋊C₄	—	13	8	no	—
934	C₄⋊C₄	—	13	4	no	—
935	C₄⋊C₄	—	13	4	no	—
936	C₄⋊C₄	—	13	8	no	—
937	C₄⋊C₄	—	13	8	no	—
938	C₄⋊C₄	—	13	4	no	—
939	C₄⋊C₄	—	13	4	no	—
940	C₄⋊C₄	—	13	8	no	—
941	C₄⋊C₄	—	13	8	no	—
942	C₄⋊C₄	—	13	8	no	—
943	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
944	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
945	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
946	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
947	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
948	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
949	C₂²⋊C₄	—	13	8	no	—
950	C₂²⋊C₄	—	13	8	no	—
951	C₂²⋊C₄	—	13	8	no	—
952	C₂²⋊C₄	—	13	8	no	—
953	C₂²⋊C₄	—	13	8	no	—
954	C₂²⋊C₄	—	13	8	no	—
955	C₂²⋊C₄	—	13	8	no	—
956	C₂²⋊C₄	—	13	8	no	—
957	C₂²⋊C₄	—	13	8	no	—
958	C₂²⋊C₄	—	13	8	no	—
959	C₂²⋊C₄	—	13	8	no	—
960	C₂²⋊C₄	—	13	8	no	—
961	C₂²⋊C₄	—	13	8	no	—
962	C₂²⋊C₄	—	13	8	no	—
963	C₂²⋊C₄	—	13	8	no	—
964	C₂²⋊C₄	—	13	8	no	—
965	C₂²⋊C₄	—	13	8	no	—
966	C₂²⋊C₄	—	13	8	no	—
967	C₂²⋊C₄	—	13	8	no	—
968	C₂²⋊C₄	—	13	8	no	—
969	C₂²⋊C₄	—	13	8	no	—
970	C₂²⋊C₄	—	13	8	no	—
971	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
972	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
973	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
974	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
975	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
976	C₄²	—	13	8	no	—
977	C₄²	—	13	8	no	—
978	C₄²	—	13	8	no	—
979	C₄²	—	13	8	no	—
980	C₄²	—	13	8	no	—
981	C₄²	—	13	8	no	—
982	C₄²	C₂³×D₁₃	1	4	yes	—
983	C₄²	C₂³×D₁₃	1	4	yes	—
984	C₄²	C₂³×D₁₃	1	4	yes	—
985	C₄²	C₂³×D₁₃	1	4	yes	—
986	C₄²	C₂³×D₁₃	1	8	yes	—
987	C₁₃	C₂×#3568	1	1	yes	characteristic, complemented, Sylow
988	C₂³	—	2	2	no	—
989	C₂³	—	2	2	no	—
990	C₂³	—	2	2	no	—
991	C₂³	—	2	4	no	—
992	C₂³	—	2	4	no	—
993	C₂³	—	2	4	no	—
994	C₂³	—	13	4	no	—
995	C₂³	—	13	4	no	—
996	C₂³	—	26	4	no	—
997	C₂³	—	26	4	no	—
998	C₂³	—	26	4	no	—
999	C₂³	—	26	4	no	—
1000	C₂³	—	26	4	no	—
1001	C₂³	—	26	4	no	—
1002	C₂³	—	52	8	no	—
1003	C₂³	—	52	8	no	—
1004	C₂³	—	52	8	no	—
1005	C₂³	—	104	16	no	—
1006	C₂³	C₂⁴×D₁₃	1	4	yes	—
1007	C₂³	C₂⁴×D₁₃	1	2	yes	—
1008	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1009	Q₈	—	4	4	no	—
1010	Q₈	—	52	8	no	—
1011	Q₈	—	52	4	no	—
1012	Q₈	—	52	4	no	—
1013	Q₈	—	52	8	no	—
1014	Q₈	—	52	8	no	—
1015	D₄	—	4	4	no	—
1016	D₄	—	4	8	no	—
1017	D₄	—	52	4	no	—
1018	D₄	—	52	4	no	—
1019	D₄	—	52	8	no	—
1020	D₄	—	52	8	no	—
1021	D₄	—	52	8	no	—
1022	D₄	—	52	8	no	—
1023	D₄	—	52	8	no	—
1024	C₂×C₄	—	2	2	no	—
1025	C₂×C₄	—	2	2	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	4	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	4	no	—
1032	C₂×C₄	—	2	4	no	—
1033	C₂×C₄	—	4	8	no	—
1034	C₂×C₄	—	4	4	no	—
1035	C₂×C₄	—	4	4	no	—
1036	C₂×C₄	—	4	4	no	—
1037	C₂×C₄	—	13	4	no	—
1038	C₂×C₄	—	13	4	no	—
1039	C₂×C₄	—	13	4	no	—
1040	C₂×C₄	—	13	4	no	—
1041	C₂×C₄	—	13	4	no	—
1042	C₂×C₄	—	13	4	no	—
1043	C₂×C₄	—	26	4	no	—
1044	C₂×C₄	—	26	4	no	—
1045	C₂×C₄	—	26	4	no	—
1046	C₂×C₄	—	26	4	no	—
1047	C₂×C₄	—	26	4	no	—
1048	C₂×C₄	—	26	4	no	—
1049	C₂×C₄	—	52	8	no	—
1050	C₂×C₄	—	52	8	no	—
1051	C₂×C₄	—	52	8	no	—
1052	C₂×C₄	—	52	8	no	—
1053	C₂×C₄	—	52	8	no	—
1054	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1055	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1056	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1057	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1058	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1059	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1060	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1061	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1062	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1063	C₂²	—	2	2	no	—
1064	C₂²	—	2	2	no	—
1065	C₂²	—	2	2	no	—
1066	C₂²	—	2	4	no	—
1067	C₂²	—	2	4	no	—
1068	C₂²	—	2	4	no	—
1069	C₂²	—	4	4	no	—
1070	C₂²	—	4	8	no	—
1071	C₂²	—	26	4	no	—
1072	C₂²	—	26	4	no	—
1073	C₂²	—	26	4	no	—
1074	C₂²	—	26	4	no	—
1075	C₂²	—	26	4	no	—
1076	C₂²	—	26	4	no	—
1077	C₂²	—	52	8	no	—
1078	C₂²	—	52	8	no	—
1079	C₂²	—	104	16	no	—
1080	C₂²	#11719648	1	2	yes	—
1081	C₂²	#11719648	1	2	yes	—
1082	C₂²	#11719648	1	2	yes	—
1083	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1084	C₄	—	2	2	no	—
1085	C₄	—	2	2	no	—
1086	C₄	—	2	2	no	—
1087	C₄	—	2	4	no	—
1088	C₄	—	2	2	no	—
1089	C₄	—	2	2	no	—
1090	C₄	—	2	2	no	—
1091	C₄	—	2	4	no	—
1092	C₄	—	2	4	no	—
1093	C₄	—	26	4	no	—
1094	C₄	—	26	4	no	—
1095	C₄	—	26	4	no	—
1096	C₄	—	26	4	no	—
1097	C₄	—	26	4	no	—
1098	C₄	—	26	4	no	—
1099	C₂	—	4	4	no	—
1100	C₂	—	4	2	no	—
1101	C₂	—	52	4	no	—
1102	C₂	—	52	4	no	—
1103	C₂	#13129532	1	4	yes	direct product factor
1104	C₂	C₂×#11719648	1	1	yes	characteristic
1105	C₂	C₂×#11719648	1	1	yes	characteristic
1106	C₂	C₂×#11719648	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#529	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#529	D₁₃
hypocenter	C₁₃	C₂×#3568
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#529

Complements

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

N	H ≅ G/N	type
1. #13129532	C₂	direct (N × H)
2. C₂×#11719404	C₂	semidirect
3. C₂×#11719404	C₂	semidirect
4. C₂×#11719377	C₂	semidirect
5. C₂×#11719388	C₂	semidirect
6. C₂×#11719273	C₂	semidirect
7. C₂×#11719238	C₂	semidirect
8. C₂×#11719407	C₂	semidirect
9. C₂×#11719261	C₂	semidirect
10. C₂×#11719410	C₂	semidirect
11. C₂×#11719232	C₂	semidirect
12. C₂×#11719345	C₂	semidirect
13. C₂×#11719367	C₂	semidirect
14. C₂×#11719266	C₂	semidirect
15. C₂×#11719362	C₂	semidirect
16. C₂×#11719265	C₂	semidirect
17. C₂×#11719318	C₂	semidirect
18. C₂×#11719184	C₂	semidirect
19. C₂×#11719184	C₂	semidirect
20. C₂×C₁₃×#529	C₂	semidirect
21. C₁₃×#529	C₂²	semidirect
22. C₂×C₁₃×#126	C₂²	semidirect
23. C₂×C₁₃×#125	C₂²	semidirect
25. C₂×C₁₃×#123	C₂²	semidirect
26. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
28. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
30. C₂×C₄×D₄×C₁₃	C₂²	semidirect
31. C₂×C₁₃×#117	C₂²	semidirect
32. C₂²×C₄²×C₁₃	C₂²	semidirect
34. C₂×#88198	C₂²	semidirect
38. C₂×#88191	C₂²	semidirect
39. C₂×#88190	C₂²	semidirect
44. C₂×#88183	C₂²	semidirect
45. C₂×#88183	C₂²	semidirect
47. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
48. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
49. C₂²×#6103	C₂²	semidirect
50. C₂×#88178	C₂²	semidirect
51. C₂×#88178	C₂²	semidirect
52. C₂×#88178	C₂²	semidirect
53. #11719410	C₂²	semidirect
54. #11719407	C₂²	semidirect
55. #11719404	C₂²	semidirect
56. #11719404	C₂²	semidirect
57. #11719388	C₂²	semidirect
58. #11719377	C₂²	semidirect
59. #11719367	C₂²	semidirect
60. #11719362	C₂²	semidirect
61. #11719345	C₂²	semidirect
62. #11719318	C₂²	semidirect
63. #11719273	C₂²	semidirect
64. #11719266	C₂²	semidirect
65. #11719265	C₂²	semidirect
66. #11719261	C₂²	semidirect
67. #11719238	C₂²	semidirect
68. #11719232	C₂²	semidirect
69. C₂×#88152	C₂²	semidirect
70. C₂×#88152	C₂²	semidirect
71. C₂×#88152	C₂²	semidirect
72. C₂×#88152	C₂²	semidirect
73. C₂×#88152	C₂²	semidirect
74. C₂×#88151	C₂²	semidirect
75. C₂×#88151	C₂²	semidirect
76. C₂×#88150	C₂²	semidirect
77. C₂×#88150	C₂²	semidirect
78. C₂×#88150	C₂²	semidirect
79. C₂×#88150	C₂²	semidirect
84. C₂×#88146	C₂²	semidirect
85. C₂×#88142	C₂²	semidirect
86. C₂×#88142	C₂²	semidirect
87. C₂×#88141	C₂²	semidirect
88. C₂×#88141	C₂²	semidirect
93. C₂×#88139	C₂²	semidirect
94. C₂×#88139	C₂²	semidirect
100. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
101. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
102. C₂×#88133	C₂²	semidirect
103. C₂×#88133	C₂²	semidirect
104. C₂×#88133	C₂²	semidirect
105. C₂×#88133	C₂²	semidirect
106. C₂×#88132	C₂²	semidirect
107. C₂×#88132	C₂²	semidirect
108. C₂×#88131	C₂²	semidirect
109. #11719184	C₂²	semidirect
110. #11719184	C₂²	semidirect
111. C₂×#88130	C₂²	semidirect
112. C₂×#88130	C₂²	semidirect
113. C₂×#88130	C₂²	semidirect
119. C₂×#88126	C₂²	semidirect
120. C₂×#88126	C₂²	semidirect
121. C₂×#88126	C₂²	semidirect
122. C₂×#88124	C₂²	semidirect
123. C₂×#88124	C₂²	semidirect
124. C₂×C₄×Dic₂₆	C₂²	semidirect
125. C₂×C₄×Dic₂₆	C₂²	semidirect
126. C₂×C₄×Dic₂₆	C₂²	semidirect
152. C₁₃×#126	C₂³	semidirect
153. C₁₃×#125	C₂³	semidirect
155. C₁₃×#123	C₂³	semidirect
156. C₁₃×C₂²⋊Q₈	C₂³	semidirect
158. C₄×Q₈×C₁₃	C₂³	semidirect
160. C₄×D₄×C₁₃	C₂³	semidirect
161. C₁₃×#117	C₂³	semidirect
178. C₂×C₄²×C₁₃	C₂³	semidirect
186. #88198	C₂³	semidirect
190. #88191	C₂³	semidirect
191. #88190	C₂³	semidirect
196. #88183	C₂³	semidirect
197. #88183	C₂³	semidirect
199. C₄×C₂²⋊D₁₃	C₂³	semidirect
200. C₄×C₂²⋊D₁₃	C₂³	semidirect
217. C₂×#6103	C₂³	semidirect
224. #88178	C₂³	semidirect
225. #88178	C₂³	semidirect
226. #88178	C₂³	semidirect
245. #88152	C₂³	semidirect
246. #88152	C₂³	semidirect
247. #88152	C₂³	semidirect
248. #88152	C₂³	semidirect
249. #88152	C₂³	semidirect
250. #88151	C₂³	semidirect
251. #88151	C₂³	semidirect
252. #88150	C₂³	semidirect
253. #88150	C₂³	semidirect
254. #88150	C₂³	semidirect
255. #88150	C₂³	semidirect
260. #88146	C₂³	semidirect
261. #88142	C₂³	semidirect
262. #88142	C₂³	semidirect
263. #88141	C₂³	semidirect
264. #88141	C₂³	semidirect
269. #88139	C₂³	semidirect
270. #88139	C₂³	semidirect
276. C₂²⋊C₄×D₁₃	C₂³	semidirect
277. C₂²⋊C₄×D₁₃	C₂³	semidirect
278. #88133	C₂³	semidirect
279. #88133	C₂³	semidirect
280. #88133	C₂³	semidirect
281. #88133	C₂³	semidirect
282. #88132	C₂³	semidirect
283. #88132	C₂³	semidirect
284. #88131	C₂³	semidirect
285. #88130	C₂³	semidirect
286. #88130	C₂³	semidirect
287. #88130	C₂³	semidirect
293. #88126	C₂³	semidirect
294. #88126	C₂³	semidirect
295. #88126	C₂³	semidirect
296. #88124	C₂³	semidirect
297. #88124	C₂³	semidirect
298. C₄×Dic₂₆	C₂³	semidirect
299. C₄×Dic₂₆	C₂³	semidirect
300. C₄×Dic₂₆	C₂³	semidirect
454. C₂×#529	D₁₃	semidirect
551. #529	C₂×D₁₃	semidirect
564. C₂×#126	C₂×D₁₃	semidirect
567. C₂×#125	C₂×D₁₃	semidirect
588. C₂×#123	C₂×D₁₃	semidirect
600. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
616. C₂×C₄×Q₈	C₂×D₁₃	semidirect
625. C₂×C₄×D₄	C₂×D₁₃	semidirect
631. C₂×#117	C₂×D₁₃	semidirect
635. C₂²×C₄²	C₂×D₁₃	semidirect
712. #126	C₂²×D₁₃	semidirect
715. #125	C₂²×D₁₃	semidirect
736. #123	C₂²×D₁₃	semidirect
748. C₂²⋊Q₈	C₂²×D₁₃	semidirect
764. C₄×Q₈	C₂²×D₁₃	semidirect
773. C₄×D₄	C₂²×D₁₃	semidirect
779. #117	C₂²×D₁₃	semidirect
845. C₂×C₄²	C₂²×D₁₃	semidirect
848. C₂×C₁₃	#3568	semidirect
987. C₁₃	C₂×#3568	semidirect
1103. C₂	#13129532	direct (N × H)

Maximal subgroups

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

subgroup	index
#13129532	2
C₂×#11719404	2
C₂×#11719377	2
C₂×#11719388	2
C₂×#11719273	2
C₂×#11719238	2
C₂×#11719407	2
C₂×#11719261	2
C₂×#11719410	2
C₂×#11719232	2
C₂×#11719345	2
C₂×#11719367	2
C₂×#11719266	2
C₂×#11719362	2
C₂×#11719265	2
C₂×#11719318	2
C₂×#11719184	2
C₂×C₁₃×#529	2
C₂×#3568	13

Subgroups — C2×#13129532 #16770351

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13129532 #16770351