Subgroups — C₂×#13129190 #16770676

Order 3328.

7430 conjugacy classes of subgroups.

The subgroup lattice has 1180 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129190	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719440	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719352	C₂	1	2	yes	maximal, complemented
4	C₂×#11719388	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719439	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11719375	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719342	C₂	1	2	yes	maximal, complemented
8	C₂×#11719232	C₂	1	2	yes	maximal, complemented
9	C₂×#11719363	C₂	1	2	yes	maximal, complemented
10	C₂×#11719359	C₂	1	2	yes	maximal, complemented
11	C₂×#11719534	C₂	1	2	yes	maximal, complemented
12	C₂×#11719438	C₂	1	2	yes	maximal, complemented
13	C₂×#11719345	C₂	1	2	yes	maximal, complemented
14	C₂×#11719349	C₂	1	2	yes	maximal, complemented
15	C₂×#11719383	C₂	1	2	yes	maximal, complemented
16	C₂×#11719521	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#11719358	C₂	1	2	yes	maximal, complemented
18	C₂×#11719354	C₂	1	2	yes	maximal, complemented
19	C₂²×#88201	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×#536	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
22	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
23	C₂²×D₄×D₁₃	C₂²	1	2	yes	complemented
24	C₂²×#6127	C₂²	1	1	yes	characteristic
25	C₂³×D₅₂	C₂²	1	1	yes	characteristic
26	C₁₃×#536	C₂²	1	16	yes	complemented
27	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
32	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
33	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
34	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
35	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
36	#11719534	C₂²	1	32	yes	complemented
37	#11719521	C₂²	1	16	yes	complemented
38	C₂×#88201	C₂²	1	1	yes	characteristic
39	C₂×#88201	C₂²	1	1	yes	characteristic
40	C₂×#88201	C₂²	1	1	yes	characteristic, complemented
41	C₂×#88201	C₂²	1	2	yes	complemented
42	C₂×#88201	C₂²	1	2	yes	complemented
43	C₂×#88201	C₂²	1	2	yes	complemented
44	C₂×#88201	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88201	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88201	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88201	C₂²	1	16	yes	complemented
48	C₂×#88200	C₂²	1	2	yes	complemented
49	C₂×#88200	C₂²	1	2	yes	complemented
50	C₂×#88200	C₂²	1	2	yes	complemented
51	C₂×#88198	C₂²	1	1	yes	characteristic, complemented
52	C₂×#88198	C₂²	1	1	yes	characteristic, complemented
53	C₂×#88193	C₂²	1	2	yes	—
54	C₂×#88193	C₂²	1	2	yes	complemented
55	C₂×#88191	C₂²	1	2	yes	—
56	C₂×#88191	C₂²	1	2	yes	complemented
57	C₂×D₄×Dic₁₃	C₂²	1	2	yes	complemented
58	C₂×#88184	C₂²	1	2	yes	complemented
59	C₂×#88183	C₂²	1	2	yes	complemented
60	C₂×#88183	C₂²	1	2	yes	complemented
61	C₂×#88183	C₂²	1	2	yes	complemented
62	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
63	C₂²×#6103	C₂²	1	2	yes	complemented
64	C₂²×#6103	C₂²	1	2	yes	complemented
65	C₂²×#6103	C₂²	1	2	yes	complemented
66	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
67	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
68	#11719440	C₂²	1	16	yes	complemented
69	#11719439	C₂²	1	16	yes	complemented
70	#11719438	C₂²	1	32	yes	complemented
71	#11719388	C₂²	1	16	yes	complemented
72	#11719383	C₂²	1	32	yes	complemented
73	#11719375	C₂²	1	16	yes	complemented
74	#11719363	C₂²	1	32	yes	complemented
75	#11719359	C₂²	1	32	yes	complemented
76	#11719358	C₂²	1	32	yes	complemented
77	#11719354	C₂²	1	32	yes	complemented
78	#11719352	C₂²	1	32	yes	complemented
79	#11719349	C₂²	1	32	yes	complemented
80	#11719345	C₂²	1	32	yes	complemented
81	#11719342	C₂²	1	32	yes	complemented
82	#11719232	C₂²	1	32	yes	complemented
83	C₂×#88152	C₂²	1	2	yes	complemented
84	C₂×#88152	C₂²	1	2	yes	complemented
85	C₂×#88152	C₂²	1	2	yes	complemented
86	C₂×#88152	C₂²	1	2	yes	complemented
87	C₂×#88151	C₂²	1	2	yes	complemented
88	C₂×#88150	C₂²	1	2	yes	complemented
89	C₂×#88150	C₂²	1	2	yes	complemented
90	C₂×#88149	C₂²	1	2	yes	—
91	C₂×#88149	C₂²	1	2	yes	complemented
92	C₂×#88149	C₂²	1	2	yes	complemented
93	C₂×#88148	C₂²	1	2	yes	—
94	C₂×#88148	C₂²	1	2	yes	complemented
95	C₂×#88148	C₂²	1	2	yes	complemented
96	C₂×#88148	C₂²	1	2	yes	complemented
97	C₂×#88148	C₂²	1	2	yes	complemented
98	C₂×#88147	C₂²	1	2	yes	complemented
99	C₂×#88146	C₂²	1	2	yes	complemented
100	C₂×#88146	C₂²	1	2	yes	complemented
101	C₂×#88143	C₂²	1	2	yes	complemented
102	C₂×#88141	C₂²	1	2	yes	complemented
103	C₂×#88140	C₂²	1	2	yes	complemented
104	C₂×#88139	C₂²	1	2	yes	complemented
105	C₂×#88139	C₂²	1	2	yes	complemented
106	C₂×#88139	C₂²	1	2	yes	complemented
107	C₂×#88138	C₂²	1	2	yes	—
108	C₂×#88138	C₂²	1	2	yes	complemented
109	C₂×#88138	C₂²	1	2	yes	complemented
110	C₂×#88137	C₂²	1	2	yes	complemented
111	C₂×#88136	C₂²	1	2	yes	—
112	C₂×#88136	C₂²	1	2	yes	—
113	C₂×#88136	C₂²	1	2	yes	complemented
114	C₂×#88136	C₂²	1	2	yes	complemented
115	C₂×#88135	C₂²	1	2	yes	complemented
116	C₂×#88135	C₂²	1	2	yes	complemented
117	C₂×#88135	C₂²	1	2	yes	complemented
118	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
119	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
120	C₂×#88133	C₂²	1	2	yes	complemented
121	C₂×#88132	C₂²	1	2	yes	complemented
122	C₂×#88131	C₂²	1	2	yes	complemented
123	C₂×#88130	C₂²	1	2	yes	complemented
124	C₂×#88129	C₂²	1	2	yes	complemented
125	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
126	C₂×#88126	C₂²	1	2	yes	complemented
127	C₂⁴×D₁₃	C₂³	1	2	yes	—
128	C₂⁴×D₁₃	C₂³	1	2	yes	—
129	C₂×C₁₃×#41	—	4	4	no	—
130	C₂×C₁₃×#41	C₂³	1	8	yes	—
131	C₂²×Q₈×C₁₃	—	4	4	no	—
132	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
133	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
134	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
135	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
136	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
137	C₂²×Q₈×C₁₃	C₂³	1	8	yes	complemented
138	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
139	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
144	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
145	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
146	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
147	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
148	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
149	C₂³×Dic₁₃	C₂³	1	2	yes	—
150	C₂³×Dic₁₃	C₂³	1	2	yes	—
151	C₂×D₄×D₁₃	—	4	8	no	—
152	C₂×D₄×D₁₃	C₂³	1	16	yes	complemented
153	C₂×#6127	—	4	4	no	—
154	C₂×#6127	C₂³	1	8	yes	—
155	C₂²×D₅₂	—	4	4	no	—
156	C₂²×D₅₂	C₂³	1	2	yes	—
157	C₂²×D₅₂	C₂³	1	2	yes	—
158	C₂²×D₅₂	C₂³	1	1	yes	characteristic
159	C₂²×D₅₂	C₂³	1	1	yes	characteristic
160	C₂²×D₅₂	C₂³	1	2	yes	—
161	C₂²×D₅₂	C₂³	1	1	yes	characteristic
162	C₂²×D₅₂	C₂³	1	2	yes	—
163	C₂²×D₅₂	C₂³	1	8	yes	—
164	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
165	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
166	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
167	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
168	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
169	C₂²×Dic₂₆	C₂³	1	2	yes	—
170	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
171	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
172	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
173	C₁₃×#124	C₂³	1	8	yes	complemented
174	C₁₃×#124	C₂³	1	8	yes	complemented
175	C₁₃×#123	C₂³	1	16	yes	complemented
176	C₁₃×#123	C₂³	1	16	yes	complemented
177	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
178	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
179	C₁₃×#117	C₂³	1	8	yes	complemented
180	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
181	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
182	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
183	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
184	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
185	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
186	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
187	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
188	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
189	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
191	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
192	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
193	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
194	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
195	#88201	C₂³	1	8	yes	—
196	#88201	C₂³	1	8	yes	—
197	#88201	C₂³	1	16	yes	complemented
198	#88201	C₂³	1	16	yes	complemented
199	#88201	C₂³	1	8	yes	complemented
200	#88201	C₂³	1	8	yes	complemented
201	#88201	C₂³	1	16	yes	complemented
202	#88201	C₂³	1	8	yes	complemented
203	#88201	C₂³	1	8	yes	complemented
204	#88200	C₂³	1	16	yes	complemented
205	#88200	C₂³	1	16	yes	complemented
206	#88200	C₂³	1	16	yes	complemented
207	#88198	C₂³	1	8	yes	complemented
208	#88198	C₂³	1	8	yes	complemented
209	#88193	C₂³	1	16	yes	—
210	#88193	C₂³	1	16	yes	complemented
211	#88191	C₂³	1	16	yes	—
212	#88191	C₂³	1	16	yes	complemented
213	D₄×Dic₁₃	C₂³	1	16	yes	complemented
214	#88184	C₂³	1	16	yes	complemented
215	#88183	C₂³	1	16	yes	complemented
216	#88183	C₂³	1	16	yes	complemented
217	#88183	C₂³	1	16	yes	complemented
218	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
219	C₂×#6103	C₂³	1	2	yes	—
220	C₂×#6103	C₂³	1	2	yes	—
221	C₂×#6103	C₂³	1	2	yes	—
222	C₂×#6103	C₂³	1	2	yes	—
223	C₂×#6103	C₂³	1	2	yes	—
224	C₂×#6103	C₂³	1	2	yes	—
225	C₂×#6103	C₂³	1	2	yes	—
226	C₂×#6103	C₂³	1	2	yes	—
227	C₂×#6103	C₂³	1	2	yes	—
228	C₂×#6103	C₂³	1	2	yes	—
229	C₂×#6103	C₂³	1	2	yes	—
230	C₂×#6103	C₂³	1	2	yes	—
231	C₂×#6103	C₂³	1	2	yes	—
232	C₂×#6103	C₂³	1	2	yes	—
233	C₂×#6103	C₂³	1	2	yes	—
234	C₂×#6103	C₂³	1	2	yes	—
235	C₂×#6103	C₂³	1	2	yes	—
236	C₂×#6103	C₂³	1	2	yes	—
237	C₂×#6103	C₂³	1	2	yes	—
238	C₂×#6103	C₂³	1	2	yes	—
239	C₂×#6103	C₂³	1	16	yes	complemented
240	C₂×#6103	C₂³	1	16	yes	complemented
241	C₂×#6103	C₂³	1	16	yes	complemented
242	#88180	C₂³	1	8	yes	complemented
243	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
244	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
245	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
246	C₂×#6101	C₂³	1	2	yes	—
247	C₂×#6101	C₂³	1	2	yes	—
248	C₂×#6101	C₂³	1	2	yes	—
249	C₂×#6101	C₂³	1	2	yes	—
250	C₂×#6101	C₂³	1	2	yes	—
251	C₂×#6101	C₂³	1	2	yes	—
252	C₂×#6101	C₂³	1	2	yes	—
253	C₂×#6101	C₂³	1	2	yes	—
254	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
255	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
257	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
261	C₂×C₄×Dic₁₃	C₂³	1	8	yes	complemented
262	#88152	C₂³	1	16	yes	complemented
263	#88152	C₂³	1	16	yes	complemented
264	#88152	C₂³	1	16	yes	complemented
265	#88152	C₂³	1	16	yes	complemented
266	#88151	C₂³	1	16	yes	complemented
267	#88150	C₂³	1	16	yes	complemented
268	#88150	C₂³	1	16	yes	complemented
269	#88149	C₂³	1	16	yes	—
270	#88149	C₂³	1	16	yes	complemented
271	#88149	C₂³	1	16	yes	complemented
272	#88148	C₂³	1	16	yes	—
273	#88148	C₂³	1	16	yes	complemented
274	#88148	C₂³	1	16	yes	complemented
275	#88148	C₂³	1	16	yes	complemented
276	#88148	C₂³	1	16	yes	complemented
277	#88147	C₂³	1	16	yes	complemented
278	#88146	C₂³	1	16	yes	complemented
279	#88146	C₂³	1	16	yes	complemented
280	#88143	C₂³	1	16	yes	complemented
281	#88141	C₂³	1	16	yes	complemented
282	#88140	C₂³	1	16	yes	complemented
283	#88139	C₂³	1	16	yes	complemented
284	#88139	C₂³	1	16	yes	complemented
285	#88139	C₂³	1	16	yes	complemented
286	#88138	C₂³	1	16	yes	—
287	#88138	C₂³	1	16	yes	complemented
288	#88138	C₂³	1	16	yes	complemented
289	#88137	C₂³	1	16	yes	complemented
290	#88136	C₂³	1	16	yes	—
291	#88136	C₂³	1	16	yes	—
292	#88136	C₂³	1	16	yes	complemented
293	#88136	C₂³	1	16	yes	complemented
294	#88135	C₂³	1	16	yes	complemented
295	#88135	C₂³	1	16	yes	complemented
296	#88135	C₂³	1	16	yes	complemented
297	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
298	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
299	#88133	C₂³	1	16	yes	complemented
300	#88132	C₂³	1	16	yes	complemented
301	#88131	C₂³	1	16	yes	complemented
302	#88130	C₂³	1	16	yes	complemented
303	#88129	C₂³	1	16	yes	complemented
304	C₄×D₅₂	C₂³	1	16	yes	complemented
305	#88126	C₂³	1	16	yes	complemented
306	C₂×#3545	—	13	1	no	maximal, Sylow
307	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
308	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
309	C₂³×D₁₃	—	2	8	no	—
310	C₂³×D₁₃	—	4	4	no	—
311	C₂³×D₁₃	—	4	4	no	—
312	C₂³×D₁₃	—	4	4	no	—
313	C₂³×D₁₃	—	4	4	no	—
314	C₂³×D₁₃	—	4	4	no	—
315	C₂³×D₁₃	C₂⁴	1	2	yes	—
316	C₂³×D₁₃	C₂⁴	1	2	yes	—
317	C₂³×D₁₃	C₂⁴	1	2	yes	—
318	C₂³×D₁₃	C₂⁴	1	8	yes	—
319	C₂³×D₁₃	C₂⁴	1	8	yes	—
320	C₁₃×#41	—	4	16	no	—
321	C₂×Q₈×C₁₃	—	4	2	no	—
322	C₂×Q₈×C₁₃	—	4	2	no	—
323	C₂×Q₈×C₁₃	—	4	2	no	—
324	C₂×Q₈×C₁₃	—	4	2	no	—
325	C₂×Q₈×C₁₃	—	4	16	no	—
326	C₂×Q₈×C₁₃	—	4	2	no	—
327	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
328	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
329	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
330	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
331	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
332	C₂×D₄×C₁₃	—	2	8	no	—
333	C₂×D₄×C₁₃	—	4	2	no	—
334	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
335	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
336	C₂²×C₄×C₁₃	—	2	4	no	—
337	C₂²×C₄×C₁₃	—	2	4	no	—
338	C₂²×C₄×C₁₃	—	2	4	no	—
339	C₂²×C₄×C₁₃	—	4	4	no	—
340	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
341	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
342	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
343	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
344	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
345	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
346	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
347	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
348	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
351	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
352	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
353	C₂×C₂²⋊D₁₃	—	2	8	no	—
354	C₂×C₂²⋊D₁₃	—	4	4	no	—
355	C₂×C₂²⋊D₁₃	—	4	4	no	—
356	C₂×C₂²⋊D₁₃	—	4	4	no	—
357	C₂×C₂²⋊D₁₃	—	4	4	no	—
358	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
359	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
360	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
361	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
362	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
363	C₂²×Dic₁₃	—	4	4	no	—
364	C₂²×Dic₁₃	—	4	4	no	—
365	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
366	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
367	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
368	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
369	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
370	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
371	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
372	D₄×D₁₃	—	4	32	no	—
373	#6127	—	4	16	no	—
374	C₂×D₅₂	—	4	2	no	—
375	C₂×D₅₂	—	4	4	no	—
376	C₂×D₅₂	—	4	2	no	—
377	C₂×D₅₂	—	4	16	no	—
378	C₂×D₅₂	—	4	4	no	—
379	C₂×D₅₂	—	4	4	no	—
380	C₂×D₅₂	—	4	2	no	—
381	C₂×D₅₂	—	4	4	no	—
382	C₂×D₅₂	C₂⁴	1	8	yes	—
383	C₂×D₅₂	C₂⁴	1	8	yes	—
384	C₂×D₅₂	C₂⁴	1	4	yes	—
385	C₂×D₅₂	C₂⁴	1	4	yes	—
386	C₂×D₅₂	C₂⁴	1	8	yes	—
387	C₂×D₅₂	C₂⁴	1	4	yes	—
388	C₂×D₅₂	C₂⁴	1	8	yes	—
389	C₂×C₄×D₁₃	—	4	4	no	—
390	C₂×C₄×D₁₃	—	4	4	no	—
391	C₂×C₄×D₁₃	—	4	4	no	—
392	C₂×C₄×D₁₃	—	4	4	no	—
393	C₂×C₄×D₁₃	—	4	4	no	—
394	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
395	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
396	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
397	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
398	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
399	C₂×Dic₂₆	—	4	4	no	—
400	C₂×Dic₂₆	—	4	2	no	—
401	C₂×Dic₂₆	C₂⁴	1	8	yes	—
402	C₂×Dic₂₆	C₂⁴	1	4	yes	—
403	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
404	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
405	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
406	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
407	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
408	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
409	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
410	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
411	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
412	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
413	C₄²×C₁₃	C₂⁴	1	4	yes	—
414	C₄²×C₁₃	C₂⁴	1	4	yes	—
415	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
416	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
417	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
418	#6103	C₂⁴	1	8	yes	—
419	#6103	C₂⁴	1	8	yes	—
420	#6103	C₂⁴	1	8	yes	—
421	#6103	C₂⁴	1	8	yes	—
422	#6103	C₂⁴	1	8	yes	—
423	#6103	C₂⁴	1	8	yes	—
424	#6103	C₂⁴	1	8	yes	—
425	#6103	C₂⁴	1	8	yes	—
426	#6103	C₂⁴	1	8	yes	—
427	#6103	C₂⁴	1	8	yes	—
428	#6103	C₂⁴	1	8	yes	—
429	#6103	C₂⁴	1	8	yes	—
430	#6103	C₂⁴	1	8	yes	—
431	#6103	C₂⁴	1	8	yes	—
432	#6103	C₂⁴	1	8	yes	—
433	#6103	C₂⁴	1	8	yes	—
434	#6103	C₂⁴	1	8	yes	—
435	#6103	C₂⁴	1	8	yes	—
436	#6103	C₂⁴	1	8	yes	—
437	#6103	C₂⁴	1	8	yes	—
438	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
439	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
440	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
441	#6101	C₂⁴	1	8	yes	—
442	#6101	C₂⁴	1	8	yes	—
443	#6101	C₂⁴	1	8	yes	—
444	#6101	C₂⁴	1	8	yes	—
445	#6101	C₂⁴	1	8	yes	—
446	#6101	C₂⁴	1	8	yes	—
447	#6101	C₂⁴	1	8	yes	—
448	#6101	C₂⁴	1	8	yes	—
449	C₄×Dic₁₃	C₂⁴	1	8	yes	—
450	C₄×Dic₁₃	C₂⁴	1	4	yes	—
451	C₄×Dic₁₃	C₂⁴	1	8	yes	—
452	C₄×Dic₁₃	C₂⁴	1	4	yes	—
453	C₄×Dic₁₃	C₂⁴	1	4	yes	—
454	C₄×Dic₁₃	C₂⁴	1	4	yes	—
455	C₄×Dic₁₃	C₂⁴	1	8	yes	—
456	#3545	—	13	32	no	—
457	C₂×#563	—	13	1	no	—
458	C₂×#562	—	13	2	no	—
459	C₂×H(3,𝔽₄)	—	13	1	no	—
460	C₂×#555	—	13	1	no	—
461	C₂×#555	—	13	1	no	—
462	C₂×#551	—	13	2	no	—
463	C₂×#551	—	13	2	no	—
464	C₂×#551	—	13	2	no	—
465	C₂×#546	—	13	2	no	—
466	C₂×#546	—	13	2	no	—
467	C₂×#542	—	13	2	no	—
468	C₂×#542	—	13	2	no	—
469	C₂×#538	—	13	2	no	—
470	C₂×#538	—	13	2	no	—
471	C₂×#536	—	13	1	no	—
472	C₂×#536	D₁₃	1	1	yes	characteristic, complemented
473	C₂×#534	—	13	2	no	—
474	C₂×#529	—	13	2	no	—
475	C₂²×#124	—	13	1	no	—
476	C₂³×C₁₃	—	2	4	no	—
477	C₂³×C₁₃	—	2	4	no	—
478	C₂³×C₁₃	—	2	4	no	—
479	C₂³×C₁₃	—	2	4	no	—
480	C₂³×C₁₃	H(5,𝔽₂)	1	4	yes	—
481	C₂³×C₁₃	C₂⁵	1	4	yes	—
482	C₂³×C₁₃	C₂⁵	1	2	yes	—
483	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
484	C₂²×D₁₃	—	2	4	no	—
485	C₂²×D₁₃	—	2	4	no	—
486	C₂²×D₁₃	—	2	4	no	—
487	C₂²×D₁₃	—	2	4	no	—
488	C₂²×D₁₃	—	2	4	no	—
489	C₂²×D₁₃	—	2	4	no	—
490	C₂²×D₁₃	—	2	4	no	—
491	C₂²×D₁₃	—	2	4	no	—
492	C₂²×D₁₃	—	2	4	no	—
493	C₂²×D₁₃	—	2	16	no	—
494	C₂²×D₁₃	—	4	8	no	—
495	C₂²×D₁₃	—	4	8	no	—
496	C₂²×D₁₃	—	4	8	no	—
497	C₂²×D₁₃	—	4	8	no	—
498	C₂²×D₁₃	—	4	8	no	—
499	C₂²×D₁₃	—	8	16	no	—
500	C₂²×D₁₃	—	8	16	no	—
501	C₂²×D₁₃	C₂⁵	1	4	yes	—
502	C₂²×D₁₃	C₂⁵	1	4	yes	—
503	C₂²×D₁₃	C₂⁵	1	4	yes	—
504	Q₈×C₁₃	—	4	4	no	—
505	Q₈×C₁₃	—	4	4	no	—
506	Q₈×C₁₃	—	4	4	no	—
507	Q₈×C₁₃	—	4	4	no	—
508	Q₈×C₁₃	—	4	4	no	—
509	D₄×C₁₃	—	2	16	no	—
510	D₄×C₁₃	—	4	4	no	—
511	C₂×C₄×C₁₃	—	2	2	no	—
512	C₂×C₄×C₁₃	—	2	2	no	—
513	C₂×C₄×C₁₃	—	2	4	no	—
514	C₂×C₄×C₁₃	—	2	8	no	—
515	C₂×C₄×C₁₃	—	2	2	no	—
516	C₂×C₄×C₁₃	—	2	2	no	—
517	C₂×C₄×C₁₃	—	2	8	no	—
518	C₂×C₄×C₁₃	—	2	2	no	—
519	C₂×C₄×C₁₃	—	2	2	no	—
520	C₂×C₄×C₁₃	—	2	8	no	—
521	C₂×C₄×C₁₃	—	2	4	no	—
522	C₂×C₄×C₁₃	—	2	4	no	—
523	C₂×C₄×C₁₃	—	4	8	no	—
524	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
525	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
526	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
527	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
528	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
529	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
530	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
531	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
532	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
533	C₂²⋊D₁₃	—	2	16	no	—
534	C₂²⋊D₁₃	—	4	8	no	—
535	C₂²⋊D₁₃	—	4	8	no	—
536	C₂²⋊D₁₃	—	4	8	no	—
537	C₂²⋊D₁₃	—	4	8	no	—
538	C₂×Dic₁₃	—	2	4	no	—
539	C₂×Dic₁₃	—	2	4	no	—
540	C₂×Dic₁₃	—	2	4	no	—
541	C₂×Dic₁₃	—	2	4	no	—
542	C₂×Dic₁₃	—	2	4	no	—
543	C₂×Dic₁₃	—	4	8	no	—
544	C₂×Dic₁₃	—	4	8	no	—
545	C₂×Dic₁₃	C₂⁵	1	4	yes	—
546	C₂×Dic₁₃	C₂⁵	1	4	yes	—
547	C₂×Dic₁₃	C₂⁵	1	4	yes	—
548	C₂×Dic₁₃	C₂⁵	1	4	yes	—
549	C₂×Dic₁₃	C₂⁵	1	4	yes	—
550	D₅₂	—	4	4	no	—
551	D₅₂	—	4	8	no	—
552	D₅₂	—	4	4	no	—
553	D₅₂	—	4	8	no	—
554	D₅₂	—	4	8	no	—
555	D₅₂	—	4	4	no	—
556	D₅₂	—	4	8	no	—
557	C₄×D₁₃	—	4	8	no	—
558	C₄×D₁₃	—	4	8	no	—
559	C₄×D₁₃	—	4	8	no	—
560	C₄×D₁₃	—	4	8	no	—
561	C₄×D₁₃	—	4	8	no	—
562	Dic₂₆	—	4	8	no	—
563	Dic₂₆	—	4	4	no	—
564	C₂²×#41	—	13	1	no	—
565	C₂²×#41	C₂×D₁₃	1	1	yes	characteristic
566	C₂³×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
567	C₂³×D₄	—	13	2	no	—
568	C₂³×D₄	—	13	1	no	—
569	#563	—	13	16	no	—
570	#562	—	13	32	no	—
571	H(3,𝔽₄)	—	13	16	no	—
572	#555	—	13	16	no	—
573	#555	—	13	16	no	—
574	#551	—	13	32	no	—
575	#551	—	13	32	no	—
576	#551	—	13	32	no	—
577	#546	—	13	32	no	—
578	#546	—	13	32	no	—
579	#542	—	13	32	no	—
580	#542	—	13	32	no	—
581	#538	—	13	32	no	—
582	#538	—	13	32	no	—
583	#536	—	13	16	no	—
584	#536	C₂×D₁₃	1	16	yes	complemented
585	#534	—	13	32	no	—
586	C₂×C₄⋊Q₈	—	13	1	no	—
587	C₂×C₄⋊Q₈	—	13	1	no	—
588	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
589	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
590	#529	—	13	32	no	—
591	C₂×#126	—	13	2	no	—
592	C₂×#126	—	13	2	no	—
593	C₂×#126	—	13	2	no	—
594	C₂×#126	—	13	2	no	—
595	C₂×#126	—	13	2	no	—
596	C₂×#126	—	13	2	no	—
597	C₂×#125	—	13	2	no	—
598	C₂×#124	—	13	1	no	—
599	C₂×#124	—	13	1	no	—
600	C₂×#124	—	13	2	no	—
601	C₂×#124	—	13	2	no	—
602	C₂×#124	—	13	1	no	—
603	C₂×#124	—	13	1	no	—
604	C₂×#124	—	13	1	no	—
605	C₂×#124	—	13	1	no	—
606	C₂×#124	—	13	2	no	—
607	C₂×#124	—	13	16	no	—
608	C₂×#124	—	13	2	no	—
609	C₂×#124	—	13	2	no	—
610	C₂×#124	—	13	2	no	—
611	C₂×#124	—	13	2	no	—
612	C₂×#124	C₂×D₁₃	1	1	yes	characteristic, complemented
613	C₂×#124	C₂×D₁₃	1	1	yes	characteristic, complemented
614	C₂×#123	—	13	2	no	—
615	C₂×#123	—	13	2	no	—
616	C₂×#123	—	13	2	no	—
617	C₂×#123	—	13	2	no	—
618	C₂×#123	—	13	2	no	—
619	C₂×#123	—	13	2	no	—
620	C₂×#123	—	13	2	no	—
621	C₂×#123	—	13	2	no	—
622	C₂×#123	—	13	2	no	—
623	C₂×#123	—	13	2	no	—
624	C₂×#123	C₂×D₁₃	1	2	yes	complemented
625	C₂×#123	C₂×D₁₃	1	2	yes	complemented
626	C₂×C₂²⋊Q₈	—	13	2	no	—
627	C₂×C₂²⋊Q₈	—	13	2	no	—
628	C₂×C₂²⋊Q₈	—	13	2	no	—
629	C₂×C₂²⋊Q₈	—	13	2	no	—
630	C₂×C₂²⋊Q₈	—	13	2	no	—
631	C₂×C₂²⋊Q₈	—	13	2	no	—
632	C₂×C₂²⋊Q₈	—	13	2	no	—
633	C₂×C₂²⋊Q₈	C₂×D₁₃	1	2	yes	complemented
634	C₂×C₂²⋊Q₈	C₂×D₁₃	1	2	yes	complemented
635	C₂×#121	—	13	2	no	—
636	C₂×#121	—	13	2	no	—
637	C₂×#121	—	13	2	no	—
638	C₂×#121	—	13	2	no	—
639	C₂×#121	—	13	2	no	—
640	C₂×#121	—	13	2	no	—
641	C₂×#121	—	13	2	no	—
642	C₂×#121	—	13	2	no	—
643	C₂×#121	—	13	2	no	—
644	C₂×#120	—	13	2	no	—
645	C₂×#120	—	13	2	no	—
646	C₂×#120	—	13	2	no	—
647	C₂×#120	—	13	2	no	—
648	C₂×#120	—	13	2	no	—
649	C₂×#120	—	13	2	no	—
650	C₂×C₄×Q₈	—	13	2	no	—
651	C₂×C₄×D₄	—	13	2	no	—
652	C₂×C₄×D₄	—	13	2	no	—
653	C₂×C₄×D₄	—	13	2	no	—
654	C₂×C₄×D₄	—	13	2	no	—
655	C₂×C₄×D₄	—	13	2	no	—
656	C₂×C₄×D₄	—	13	2	no	—
657	C₂×C₄×D₄	—	13	2	no	—
658	C₂×#117	—	13	1	no	—
659	C₂×#117	—	13	2	no	—
660	C₂×#117	—	13	2	no	—
661	C₂×#117	—	13	2	no	—
662	C₂×#117	—	13	2	no	—
663	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
664	C₂²×C₂²⋊C₄	—	13	2	no	—
665	C₂²×C₂²⋊C₄	—	13	2	no	—
666	C₂²×C₂²⋊C₄	—	13	2	no	—
667	C₂²×C₂²⋊C₄	—	13	2	no	—
668	C₂²×C₂²⋊C₄	—	13	2	no	—
669	C₂²×C₄²	—	13	1	no	—
670	C₂²×C₁₃	—	2	4	no	—
671	C₂²×C₁₃	—	2	8	no	—
672	C₂²×C₁₃	—	2	4	no	—
673	C₂²×C₁₃	—	2	4	no	—
674	C₂²×C₁₃	—	2	4	no	—
675	C₂²×C₁₃	—	4	8	no	—
676	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
677	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
678	C₂²×C₁₃	#585	1	4	yes	—
679	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
680	C₂×D₁₃	—	2	4	no	—
681	C₂×D₁₃	—	2	4	no	—
682	C₂×D₁₃	—	2	4	no	—
683	C₂×D₁₃	—	2	4	no	—
684	C₂×D₁₃	—	2	4	no	—
685	C₂×D₁₃	—	2	4	no	—
686	C₂×D₁₃	—	2	4	no	—
687	C₂×D₁₃	—	2	4	no	—
688	C₂×D₁₃	—	2	4	no	—
689	C₂×D₁₃	—	4	8	no	—
690	C₂×D₁₃	—	4	8	no	—
691	C₂×D₁₃	—	4	8	no	—
692	C₂×D₁₃	—	8	16	no	—
693	C₂×D₁₃	—	8	16	no	—
694	C₄×C₁₃	—	2	2	no	—
695	C₄×C₁₃	—	2	2	no	—
696	C₄×C₁₃	—	2	4	no	—
697	C₄×C₁₃	—	2	2	no	—
698	C₄×C₁₃	—	2	2	no	—
699	C₄×C₁₃	—	2	2	no	—
700	C₄×C₁₃	—	2	2	no	—
701	C₄×C₁₃	—	2	4	no	—
702	C₄×C₁₃	—	2	4	no	—
703	Dic₁₃	—	2	4	no	—
704	Dic₁₃	—	2	4	no	—
705	Dic₁₃	—	2	4	no	—
706	Dic₁₃	—	2	4	no	—
707	Dic₁₃	—	2	4	no	—
708	C₂⁵	—	13	2	no	—
709	C₂⁵	—	13	2	no	—
710	C₂×#41	—	4	4	no	—
711	C₂×#41	—	13	8	no	—
712	C₂×#41	—	52	4	no	—
713	C₂×#41	C₂²×D₁₃	1	8	yes	—
714	C₂²×Q₈	—	4	4	no	—
715	C₂²×Q₈	—	13	2	no	—
716	C₂²×Q₈	—	13	1	no	—
717	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
718	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
719	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
720	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
721	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
722	C₂²×Q₈	C₂²×D₁₃	1	8	yes	complemented
723	C₂²×D₄	—	13	2	no	—
724	C₂²×D₄	—	13	2	no	—
725	C₂²×D₄	—	13	2	no	—
726	C₂²×D₄	—	13	2	no	—
727	C₂²×D₄	—	13	2	no	—
728	C₂²×D₄	—	13	16	no	—
729	C₂²×D₄	—	13	2	no	—
730	C₂²×D₄	—	13	2	no	—
731	C₂²×D₄	—	13	1	no	—
732	C₂²×D₄	—	13	1	no	—
733	C₂²×D₄	—	13	2	no	—
734	C₂²×D₄	—	13	2	no	—
735	C₂²×D₄	—	13	1	no	—
736	C₂²×D₄	—	13	8	no	—
737	C₂²×D₄	—	52	4	no	—
738	C₂²×D₄	—	52	8	no	—
739	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
740	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
741	C₂³×C₄	—	13	2	no	—
742	C₂³×C₄	—	13	2	no	—
743	C₂³×C₄	—	13	2	no	—
744	C₂³×C₄	—	13	2	no	—
745	C₂³×C₄	—	13	2	no	—
746	C₂³×C₄	—	13	2	no	—
747	C₂³×C₄	—	13	2	no	—
748	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
749	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
750	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
751	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
752	C₄⋊Q₈	—	13	8	no	—
753	C₄⋊Q₈	—	13	8	no	—
754	C₄⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
755	C₄⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
756	#126	—	13	16	no	—
757	#126	—	13	16	no	—
758	#126	—	13	16	no	—
759	#126	—	13	16	no	—
760	#126	—	13	16	no	—
761	#126	—	13	16	no	—
762	#125	—	13	16	no	—
763	#124	—	13	16	no	—
764	#124	—	13	16	no	—
765	#124	—	13	8	no	—
766	#124	—	13	8	no	—
767	#124	—	13	8	no	—
768	#124	—	13	8	no	—
769	#124	—	13	8	no	—
770	#124	—	13	8	no	—
771	#124	—	13	16	no	—
772	#124	—	13	16	no	—
773	#124	—	13	16	no	—
774	#124	—	13	16	no	—
775	#124	—	13	16	no	—
776	#124	C₂²×D₁₃	1	8	yes	complemented
777	#124	C₂²×D₁₃	1	8	yes	complemented
778	#123	—	13	16	no	—
779	#123	—	13	16	no	—
780	#123	—	13	16	no	—
781	#123	—	13	16	no	—
782	#123	—	13	16	no	—
783	#123	—	13	16	no	—
784	#123	—	13	16	no	—
785	#123	—	13	16	no	—
786	#123	—	13	16	no	—
787	#123	—	13	16	no	—
788	#123	C₂²×D₁₃	1	16	yes	complemented
789	#123	C₂²×D₁₃	1	16	yes	complemented
790	C₂²⋊Q₈	—	13	16	no	—
791	C₂²⋊Q₈	—	13	16	no	—
792	C₂²⋊Q₈	—	13	16	no	—
793	C₂²⋊Q₈	—	13	16	no	—
794	C₂²⋊Q₈	—	13	16	no	—
795	C₂²⋊Q₈	—	13	16	no	—
796	C₂²⋊Q₈	—	13	16	no	—
797	C₂²⋊Q₈	C₂²×D₁₃	1	16	yes	complemented
798	C₂²⋊Q₈	C₂²×D₁₃	1	16	yes	complemented
799	#121	—	13	16	no	—
800	#121	—	13	16	no	—
801	#121	—	13	16	no	—
802	#121	—	13	16	no	—
803	#121	—	13	16	no	—
804	#121	—	13	16	no	—
805	#121	—	13	16	no	—
806	#121	—	13	16	no	—
807	#121	—	13	16	no	—
808	#120	—	13	16	no	—
809	#120	—	13	16	no	—
810	#120	—	13	16	no	—
811	#120	—	13	16	no	—
812	#120	—	13	16	no	—
813	#120	—	13	16	no	—
814	C₄×Q₈	—	13	16	no	—
815	C₄×D₄	—	13	16	no	—
816	C₄×D₄	—	13	16	no	—
817	C₄×D₄	—	13	16	no	—
818	C₄×D₄	—	13	16	no	—
819	C₄×D₄	—	13	16	no	—
820	C₄×D₄	—	13	16	no	—
821	C₄×D₄	—	13	16	no	—
822	#117	—	13	8	no	—
823	#117	—	13	16	no	—
824	#117	—	13	16	no	—
825	#117	—	13	16	no	—
826	#117	—	13	16	no	—
827	#117	C₂²×D₁₃	1	8	yes	complemented
828	C₂×C₄⋊C₄	—	13	2	no	—
829	C₂×C₄⋊C₄	—	13	2	no	—
830	C₂×C₄⋊C₄	—	13	2	no	—
831	C₂×C₄⋊C₄	—	13	2	no	—
832	C₂×C₄⋊C₄	—	13	2	no	—
833	C₂×C₄⋊C₄	—	13	2	no	—
834	C₂×C₄⋊C₄	—	13	2	no	—
835	C₂×C₄⋊C₄	—	13	2	no	—
836	C₂×C₄⋊C₄	—	13	2	no	—
837	C₂×C₄⋊C₄	—	13	2	no	—
838	C₂×C₄⋊C₄	—	13	2	no	—
839	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
840	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
841	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
842	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
843	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
844	C₂×C₂²⋊C₄	—	13	2	no	—
845	C₂×C₂²⋊C₄	—	13	2	no	—
846	C₂×C₂²⋊C₄	—	13	2	no	—
847	C₂×C₂²⋊C₄	—	13	2	no	—
848	C₂×C₂²⋊C₄	—	13	2	no	—
849	C₂×C₂²⋊C₄	—	13	2	no	—
850	C₂×C₂²⋊C₄	—	13	2	no	—
851	C₂×C₂²⋊C₄	—	13	2	no	—
852	C₂×C₂²⋊C₄	—	13	2	no	—
853	C₂×C₂²⋊C₄	—	13	2	no	—
854	C₂×C₂²⋊C₄	—	13	2	no	—
855	C₂×C₂²⋊C₄	—	13	2	no	—
856	C₂×C₂²⋊C₄	—	13	2	no	—
857	C₂×C₂²⋊C₄	—	13	2	no	—
858	C₂×C₂²⋊C₄	—	13	2	no	—
859	C₂×C₂²⋊C₄	—	13	2	no	—
860	C₂×C₂²⋊C₄	—	13	2	no	—
861	C₂×C₂²⋊C₄	—	13	16	no	—
862	C₂×C₂²⋊C₄	—	13	16	no	—
863	C₂×C₂²⋊C₄	—	13	16	no	—
864	C₂×C₂²⋊C₄	—	13	2	no	—
865	C₂×C₂²⋊C₄	—	13	2	no	—
866	C₂×C₂²⋊C₄	—	13	2	no	—
867	C₂×C₂²⋊C₄	—	13	2	no	—
868	C₂×C₂²⋊C₄	—	13	2	no	—
869	C₂×C₂²⋊C₄	—	13	2	no	—
870	C₂×C₂²⋊C₄	—	13	16	no	—
871	C₂×C₂²⋊C₄	—	13	16	no	—
872	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
873	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
874	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
875	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
876	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
877	C₂×C₄²	—	13	1	no	—
878	C₂×C₄²	—	13	1	no	—
879	C₂×C₄²	—	13	2	no	—
880	C₂×C₄²	—	13	2	no	—
881	C₂×C₄²	—	13	1	no	—
882	C₂×C₄²	—	13	2	no	—
883	C₂×C₄²	—	13	1	no	—
884	C₂×C₄²	—	13	8	no	—
885	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
886	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
887	C₂×C₁₃	—	2	4	no	—
888	C₂×C₁₃	—	4	4	no	—
889	C₂×C₁₃	#3545	1	4	yes	complemented
890	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
891	C₂×C₁₃	C₂×#585	1	2	yes	—
892	D₁₃	—	4	4	no	—
893	D₁₃	—	4	4	no	—
894	D₁₃	—	4	4	no	—
895	C₂⁴	—	13	2	no	—
896	C₂⁴	—	13	2	no	—
897	C₂⁴	—	13	2	no	—
898	C₂⁴	—	13	8	no	—
899	C₂⁴	—	13	8	no	—
900	C₂⁴	—	26	8	no	—
901	C₂⁴	—	52	4	no	—
902	C₂⁴	—	52	4	no	—
903	C₂⁴	—	52	4	no	—
904	C₂⁴	—	52	4	no	—
905	C₂⁴	—	52	4	no	—
906	C₂⁴	C₂³×D₁₃	1	2	yes	—
907	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
908	#41	—	4	16	no	—
909	#41	—	52	16	no	—
910	C₂×Q₈	—	4	2	no	—
911	C₂×Q₈	—	4	2	no	—
912	C₂×Q₈	—	4	2	no	—
913	C₂×Q₈	—	4	2	no	—
914	C₂×Q₈	—	4	16	no	—
915	C₂×Q₈	—	4	2	no	—
916	C₂×Q₈	—	13	8	no	—
917	C₂×Q₈	—	13	4	no	—
918	C₂×Q₈	—	52	2	no	—
919	C₂×Q₈	—	52	4	no	—
920	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
921	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
922	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
923	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
924	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
925	C₂×D₄	—	2	8	no	—
926	C₂×D₄	—	4	2	no	—
927	C₂×D₄	—	13	8	no	—
928	C₂×D₄	—	13	8	no	—
929	C₂×D₄	—	13	8	no	—
930	C₂×D₄	—	13	8	no	—
931	C₂×D₄	—	13	8	no	—
932	C₂×D₄	—	13	8	no	—
933	C₂×D₄	—	13	8	no	—
934	C₂×D₄	—	13	4	no	—
935	C₂×D₄	—	13	4	no	—
936	C₂×D₄	—	13	8	no	—
937	C₂×D₄	—	13	8	no	—
938	C₂×D₄	—	13	4	no	—
939	C₂×D₄	—	26	8	no	—
940	C₂×D₄	—	52	2	no	—
941	C₂×D₄	—	52	4	no	—
942	C₂×D₄	—	52	2	no	—
943	C₂×D₄	—	52	16	no	—
944	C₂×D₄	—	52	4	no	—
945	C₂×D₄	—	52	2	no	—
946	C₂×D₄	—	52	4	no	—
947	C₂×D₄	—	52	4	no	—
948	C₂×D₄	—	52	4	no	—
949	C₂×D₄	—	52	4	no	—
950	C₂×D₄	—	52	4	no	—
951	C₂×D₄	—	52	4	no	—
952	C₂×D₄	—	52	32	no	—
953	C₂×D₄	C₂³×D₁₃	1	8	yes	—
954	C₂×D₄	C₂³×D₁₃	1	4	yes	—
955	C₂²×C₄	—	2	4	no	—
956	C₂²×C₄	—	2	4	no	—
957	C₂²×C₄	—	2	4	no	—
958	C₂²×C₄	—	4	4	no	—
959	C₂²×C₄	—	13	2	no	—
960	C₂²×C₄	—	13	2	no	—
961	C₂²×C₄	—	13	2	no	—
962	C₂²×C₄	—	13	2	no	—
963	C₂²×C₄	—	13	2	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	—	52	4	no	—
972	C₂²×C₄	—	52	4	no	—
973	C₂²×C₄	—	52	4	no	—
974	C₂²×C₄	—	52	4	no	—
975	C₂²×C₄	—	52	4	no	—
976	C₂²×C₄	—	52	4	no	—
977	C₂²×C₄	—	52	4	no	—
978	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
979	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
980	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
981	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
982	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
983	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
984	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
985	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
986	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
987	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
988	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
989	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
990	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
991	C₄⋊C₄	—	13	8	no	—
992	C₄⋊C₄	—	13	8	no	—
993	C₄⋊C₄	—	13	8	no	—
994	C₄⋊C₄	—	13	8	no	—
995	C₄⋊C₄	—	13	8	no	—
996	C₄⋊C₄	—	13	8	no	—
997	C₄⋊C₄	—	13	8	no	—
998	C₄⋊C₄	—	13	8	no	—
999	C₄⋊C₄	—	13	8	no	—
1000	C₄⋊C₄	—	13	8	no	—
1001	C₄⋊C₄	—	13	8	no	—
1002	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1003	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1004	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1005	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1006	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1007	C₂²⋊C₄	—	13	8	no	—
1008	C₂²⋊C₄	—	13	8	no	—
1009	C₂²⋊C₄	—	13	8	no	—
1010	C₂²⋊C₄	—	13	8	no	—
1011	C₂²⋊C₄	—	13	8	no	—
1012	C₂²⋊C₄	—	13	8	no	—
1013	C₂²⋊C₄	—	13	8	no	—
1014	C₂²⋊C₄	—	13	8	no	—
1015	C₂²⋊C₄	—	13	8	no	—
1016	C₂²⋊C₄	—	13	8	no	—
1017	C₂²⋊C₄	—	13	8	no	—
1018	C₂²⋊C₄	—	13	8	no	—
1019	C₂²⋊C₄	—	13	8	no	—
1020	C₂²⋊C₄	—	13	8	no	—
1021	C₂²⋊C₄	—	13	8	no	—
1022	C₂²⋊C₄	—	13	8	no	—
1023	C₂²⋊C₄	—	13	8	no	—
1024	C₂²⋊C₄	—	13	8	no	—
1025	C₂²⋊C₄	—	13	8	no	—
1026	C₂²⋊C₄	—	13	8	no	—
1027	C₂²⋊C₄	—	13	8	no	—
1028	C₂²⋊C₄	—	13	8	no	—
1029	C₂²⋊C₄	—	13	8	no	—
1030	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1031	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1032	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1033	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1034	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1035	C₄²	—	13	4	no	—
1036	C₄²	—	13	8	no	—
1037	C₄²	—	13	4	no	—
1038	C₄²	—	13	4	no	—
1039	C₄²	—	13	8	no	—
1040	C₄²	—	13	8	no	—
1041	C₄²	—	13	4	no	—
1042	C₄²	C₂³×D₁₃	1	4	yes	—
1043	C₄²	C₂³×D₁₃	1	4	yes	—
1044	C₁₃	C₂×#3545	1	1	yes	characteristic, complemented, Sylow
1045	C₂³	—	2	4	no	—
1046	C₂³	—	2	4	no	—
1047	C₂³	—	2	4	no	—
1048	C₂³	—	2	4	no	—
1049	C₂³	—	13	4	no	—
1050	C₂³	—	13	4	no	—
1051	C₂³	—	13	4	no	—
1052	C₂³	—	26	4	no	—
1053	C₂³	—	26	4	no	—
1054	C₂³	—	26	4	no	—
1055	C₂³	—	26	4	no	—
1056	C₂³	—	26	4	no	—
1057	C₂³	—	26	4	no	—
1058	C₂³	—	26	4	no	—
1059	C₂³	—	26	4	no	—
1060	C₂³	—	26	4	no	—
1061	C₂³	—	26	16	no	—
1062	C₂³	—	52	8	no	—
1063	C₂³	—	52	8	no	—
1064	C₂³	—	52	8	no	—
1065	C₂³	—	52	8	no	—
1066	C₂³	—	52	8	no	—
1067	C₂³	—	104	16	no	—
1068	C₂³	—	104	16	no	—
1069	C₂³	#88251	1	4	yes	—
1070	C₂³	C₂⁴×D₁₃	1	4	yes	—
1071	C₂³	C₂⁴×D₁₃	1	2	yes	—
1072	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1073	Q₈	—	4	4	no	—
1074	Q₈	—	4	4	no	—
1075	Q₈	—	4	4	no	—
1076	Q₈	—	4	4	no	—
1077	Q₈	—	4	4	no	—
1078	Q₈	—	52	8	no	—
1079	Q₈	—	52	4	no	—
1080	D₄	—	2	16	no	—
1081	D₄	—	4	4	no	—
1082	D₄	—	26	16	no	—
1083	D₄	—	52	8	no	—
1084	D₄	—	52	8	no	—
1085	D₄	—	52	4	no	—
1086	D₄	—	52	8	no	—
1087	D₄	—	52	4	no	—
1088	D₄	—	52	8	no	—
1089	D₄	—	52	4	no	—
1090	D₄	—	52	8	no	—
1091	D₄	—	52	8	no	—
1092	D₄	—	52	8	no	—
1093	D₄	—	52	8	no	—
1094	C₂×C₄	—	2	2	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	8	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	2	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	2	8	no	—
1102	C₂×C₄	—	2	8	no	—
1103	C₂×C₄	—	2	4	no	—
1104	C₂×C₄	—	2	4	no	—
1105	C₂×C₄	—	2	4	no	—
1106	C₂×C₄	—	4	8	no	—
1107	C₂×C₄	—	13	4	no	—
1108	C₂×C₄	—	13	4	no	—
1109	C₂×C₄	—	13	4	no	—
1110	C₂×C₄	—	13	4	no	—
1111	C₂×C₄	—	13	4	no	—
1112	C₂×C₄	—	26	4	no	—
1113	C₂×C₄	—	26	4	no	—
1114	C₂×C₄	—	26	4	no	—
1115	C₂×C₄	—	26	4	no	—
1116	C₂×C₄	—	26	4	no	—
1117	C₂×C₄	—	52	8	no	—
1118	C₂×C₄	—	52	8	no	—
1119	C₂×C₄	—	52	8	no	—
1120	C₂×C₄	—	52	8	no	—
1121	C₂×C₄	—	52	8	no	—
1122	C₂×C₄	—	52	8	no	—
1123	C₂×C₄	—	52	8	no	—
1124	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1125	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1126	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1127	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1128	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1129	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1130	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1131	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1132	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1133	C₂²	—	2	4	no	—
1134	C₂²	—	2	8	no	—
1135	C₂²	—	2	4	no	—
1136	C₂²	—	2	4	no	—
1137	C₂²	—	2	4	no	—
1138	C₂²	—	4	8	no	—
1139	C₂²	—	26	4	no	—
1140	C₂²	—	26	4	no	—
1141	C₂²	—	26	4	no	—
1142	C₂²	—	26	4	no	—
1143	C₂²	—	26	4	no	—
1144	C₂²	—	26	4	no	—
1145	C₂²	—	26	4	no	—
1146	C₂²	—	26	4	no	—
1147	C₂²	—	26	4	no	—
1148	C₂²	—	52	8	no	—
1149	C₂²	—	52	8	no	—
1150	C₂²	—	52	8	no	—
1151	C₂²	—	104	16	no	—
1152	C₂²	—	104	16	no	—
1153	C₂²	C₂×#88251	1	4	yes	—
1154	C₂²	C₂×#88251	1	2	yes	—
1155	C₂²	#11719652	1	4	yes	—
1156	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1157	C₄	—	2	2	no	—
1158	C₄	—	2	2	no	—
1159	C₄	—	2	2	no	—
1160	C₄	—	2	2	no	—
1161	C₄	—	2	2	no	—
1162	C₄	—	2	2	no	—
1163	C₄	—	2	4	no	—
1164	C₄	—	2	4	no	—
1165	C₄	—	2	4	no	—
1166	C₄	—	26	4	no	—
1167	C₄	—	26	4	no	—
1168	C₄	—	26	4	no	—
1169	C₄	—	26	4	no	—
1170	C₄	—	26	4	no	—
1171	C₂	—	2	4	no	—
1172	C₂	—	4	4	no	—
1173	C₂	—	52	4	no	—
1174	C₂	—	52	4	no	—
1175	C₂	—	52	4	no	—
1176	C₂	#13129190	1	4	yes	direct product factor
1177	C₂	C₂²×#88251	1	1	yes	characteristic
1178	C₂	C₂×#11719652	1	2	yes	—

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#536	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#536	D₁₃
hypocenter	C₁₃	C₂×#3545
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#536

Complements

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

N	H ≅ G/N	type
1. #13129190	C₂	direct (N × H)
2. C₂×#11719440	C₂	semidirect
3. C₂×#11719352	C₂	semidirect
4. C₂×#11719388	C₂	semidirect
5. C₂×#11719439	C₂	semidirect
6. C₂×#11719375	C₂	semidirect
7. C₂×#11719342	C₂	semidirect
8. C₂×#11719232	C₂	semidirect
9. C₂×#11719363	C₂	semidirect
10. C₂×#11719359	C₂	semidirect
11. C₂×#11719534	C₂	semidirect
12. C₂×#11719438	C₂	semidirect
13. C₂×#11719345	C₂	semidirect
14. C₂×#11719349	C₂	semidirect
15. C₂×#11719383	C₂	semidirect
16. C₂×#11719521	C₂	semidirect
17. C₂×#11719358	C₂	semidirect
18. C₂×#11719354	C₂	semidirect
19. C₂²×#88201	C₂	semidirect
20. C₂×C₁₃×#536	C₂	semidirect
22. C₂³×Q₈×C₁₃	C₂²	semidirect
23. C₂²×D₄×D₁₃	C₂²	semidirect
26. C₁₃×#536	C₂²	semidirect
27. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
28. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
29. C₂×C₁₃×#124	C₂²	semidirect
30. C₂×C₁₃×#124	C₂²	semidirect
31. C₂×C₁₃×#123	C₂²	semidirect
32. C₂×C₁₃×#123	C₂²	semidirect
33. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
34. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
35. C₂×C₁₃×#117	C₂²	semidirect
36. #11719534	C₂²	semidirect
37. #11719521	C₂²	semidirect
40. C₂×#88201	C₂²	semidirect
41. C₂×#88201	C₂²	semidirect
42. C₂×#88201	C₂²	semidirect
43. C₂×#88201	C₂²	semidirect
44. C₂×#88201	C₂²	semidirect
45. C₂×#88201	C₂²	semidirect
46. C₂×#88201	C₂²	semidirect
47. C₂×#88201	C₂²	semidirect
48. C₂×#88200	C₂²	semidirect
49. C₂×#88200	C₂²	semidirect
50. C₂×#88200	C₂²	semidirect
51. C₂×#88198	C₂²	semidirect
52. C₂×#88198	C₂²	semidirect
54. C₂×#88193	C₂²	semidirect
56. C₂×#88191	C₂²	semidirect
57. C₂×D₄×Dic₁₃	C₂²	semidirect
58. C₂×#88184	C₂²	semidirect
59. C₂×#88183	C₂²	semidirect
60. C₂×#88183	C₂²	semidirect
61. C₂×#88183	C₂²	semidirect
62. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
63. C₂²×#6103	C₂²	semidirect
64. C₂²×#6103	C₂²	semidirect
65. C₂²×#6103	C₂²	semidirect
66. C₂×#88180	C₂²	semidirect
67. C₂²×C₄×Dic₁₃	C₂²	semidirect
68. #11719440	C₂²	semidirect
69. #11719439	C₂²	semidirect
70. #11719438	C₂²	semidirect
71. #11719388	C₂²	semidirect
72. #11719383	C₂²	semidirect
73. #11719375	C₂²	semidirect
74. #11719363	C₂²	semidirect
75. #11719359	C₂²	semidirect
76. #11719358	C₂²	semidirect
77. #11719354	C₂²	semidirect
78. #11719352	C₂²	semidirect
79. #11719349	C₂²	semidirect
80. #11719345	C₂²	semidirect
81. #11719342	C₂²	semidirect
82. #11719232	C₂²	semidirect
83. C₂×#88152	C₂²	semidirect
84. C₂×#88152	C₂²	semidirect
85. C₂×#88152	C₂²	semidirect
86. C₂×#88152	C₂²	semidirect
87. C₂×#88151	C₂²	semidirect
88. C₂×#88150	C₂²	semidirect
89. C₂×#88150	C₂²	semidirect
91. C₂×#88149	C₂²	semidirect
92. C₂×#88149	C₂²	semidirect
94. C₂×#88148	C₂²	semidirect
95. C₂×#88148	C₂²	semidirect
96. C₂×#88148	C₂²	semidirect
97. C₂×#88148	C₂²	semidirect
98. C₂×#88147	C₂²	semidirect
99. C₂×#88146	C₂²	semidirect
100. C₂×#88146	C₂²	semidirect
101. C₂×#88143	C₂²	semidirect
102. C₂×#88141	C₂²	semidirect
103. C₂×#88140	C₂²	semidirect
104. C₂×#88139	C₂²	semidirect
105. C₂×#88139	C₂²	semidirect
106. C₂×#88139	C₂²	semidirect
108. C₂×#88138	C₂²	semidirect
109. C₂×#88138	C₂²	semidirect
110. C₂×#88137	C₂²	semidirect
113. C₂×#88136	C₂²	semidirect
114. C₂×#88136	C₂²	semidirect
115. C₂×#88135	C₂²	semidirect
116. C₂×#88135	C₂²	semidirect
117. C₂×#88135	C₂²	semidirect
118. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
119. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
120. C₂×#88133	C₂²	semidirect
121. C₂×#88132	C₂²	semidirect
122. C₂×#88131	C₂²	semidirect
123. C₂×#88130	C₂²	semidirect
124. C₂×#88129	C₂²	semidirect
125. C₂×C₄×D₅₂	C₂²	semidirect
126. C₂×#88126	C₂²	semidirect
137. C₂²×Q₈×C₁₃	C₂³	semidirect
152. C₂×D₄×D₁₃	C₂³	semidirect
171. C₁₃×C₄⋊Q₈	C₂³	semidirect
172. C₁₃×C₄⋊Q₈	C₂³	semidirect
173. C₁₃×#124	C₂³	semidirect
174. C₁₃×#124	C₂³	semidirect
175. C₁₃×#123	C₂³	semidirect
176. C₁₃×#123	C₂³	semidirect
177. C₁₃×C₂²⋊Q₈	C₂³	semidirect
178. C₁₃×C₂²⋊Q₈	C₂³	semidirect
179. C₁₃×#117	C₂³	semidirect
197. #88201	C₂³	semidirect
198. #88201	C₂³	semidirect
199. #88201	C₂³	semidirect
200. #88201	C₂³	semidirect
201. #88201	C₂³	semidirect
202. #88201	C₂³	semidirect
203. #88201	C₂³	semidirect
204. #88200	C₂³	semidirect
205. #88200	C₂³	semidirect
206. #88200	C₂³	semidirect
207. #88198	C₂³	semidirect
208. #88198	C₂³	semidirect
210. #88193	C₂³	semidirect
212. #88191	C₂³	semidirect
213. D₄×Dic₁₃	C₂³	semidirect
214. #88184	C₂³	semidirect
215. #88183	C₂³	semidirect
216. #88183	C₂³	semidirect
217. #88183	C₂³	semidirect
218. C₄×C₂²⋊D₁₃	C₂³	semidirect
239. C₂×#6103	C₂³	semidirect
240. C₂×#6103	C₂³	semidirect
241. C₂×#6103	C₂³	semidirect
242. #88180	C₂³	semidirect
261. C₂×C₄×Dic₁₃	C₂³	semidirect
262. #88152	C₂³	semidirect
263. #88152	C₂³	semidirect
264. #88152	C₂³	semidirect
265. #88152	C₂³	semidirect
266. #88151	C₂³	semidirect
267. #88150	C₂³	semidirect
268. #88150	C₂³	semidirect
270. #88149	C₂³	semidirect
271. #88149	C₂³	semidirect
273. #88148	C₂³	semidirect
274. #88148	C₂³	semidirect
275. #88148	C₂³	semidirect
276. #88148	C₂³	semidirect
277. #88147	C₂³	semidirect
278. #88146	C₂³	semidirect
279. #88146	C₂³	semidirect
280. #88143	C₂³	semidirect
281. #88141	C₂³	semidirect
282. #88140	C₂³	semidirect
283. #88139	C₂³	semidirect
284. #88139	C₂³	semidirect
285. #88139	C₂³	semidirect
287. #88138	C₂³	semidirect
288. #88138	C₂³	semidirect
289. #88137	C₂³	semidirect
292. #88136	C₂³	semidirect
293. #88136	C₂³	semidirect
294. #88135	C₂³	semidirect
295. #88135	C₂³	semidirect
296. #88135	C₂³	semidirect
297. C₂²⋊C₄×D₁₃	C₂³	semidirect
298. C₂²⋊C₄×D₁₃	C₂³	semidirect
299. #88133	C₂³	semidirect
300. #88132	C₂³	semidirect
301. #88131	C₂³	semidirect
302. #88130	C₂³	semidirect
303. #88129	C₂³	semidirect
304. C₄×D₅₂	C₂³	semidirect
305. #88126	C₂³	semidirect
472. C₂×#536	D₁₃	semidirect
566. C₂³×Q₈	C₂×D₁₃	semidirect
584. #536	C₂×D₁₃	semidirect
588. C₂×C₄⋊Q₈	C₂×D₁₃	semidirect
589. C₂×C₄⋊Q₈	C₂×D₁₃	semidirect
612. C₂×#124	C₂×D₁₃	semidirect
613. C₂×#124	C₂×D₁₃	semidirect
624. C₂×#123	C₂×D₁₃	semidirect
625. C₂×#123	C₂×D₁₃	semidirect
633. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
634. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
663. C₂×#117	C₂×D₁₃	semidirect
722. C₂²×Q₈	C₂²×D₁₃	semidirect
754. C₄⋊Q₈	C₂²×D₁₃	semidirect
755. C₄⋊Q₈	C₂²×D₁₃	semidirect
776. #124	C₂²×D₁₃	semidirect
777. #124	C₂²×D₁₃	semidirect
788. #123	C₂²×D₁₃	semidirect
789. #123	C₂²×D₁₃	semidirect
797. C₂²⋊Q₈	C₂²×D₁₃	semidirect
798. C₂²⋊Q₈	C₂²×D₁₃	semidirect
827. #117	C₂²×D₁₃	semidirect
889. C₂×C₁₃	#3545	semidirect
1044. C₁₃	C₂×#3545	semidirect
1176. C₂	#13129190	direct (N × H)

Maximal subgroups

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

subgroup	index
#13129190	2
C₂×#11719440	2
C₂×#11719352	2
C₂×#11719388	2
C₂×#11719439	2
C₂×#11719375	2
C₂×#11719342	2
C₂×#11719232	2
C₂×#11719363	2
C₂×#11719359	2
C₂×#11719534	2
C₂×#11719438	2
C₂×#11719345	2
C₂×#11719349	2
C₂×#11719383	2
C₂×#11719521	2
C₂×#11719358	2
C₂×#11719354	2
C₂²×#88201	2
C₂×C₁₃×#536	2
C₂×#3545	13

Subgroups — C2×#13129190 #16770676

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13129190 #16770676