Subgroups — #16770945

Order 3328.

7998 conjugacy classes of subgroups.

The subgroup lattice has 1190 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128876	C₂	1	4	yes	maximal, complemented
2	#13128859	C₂	1	4	yes	maximal, complemented
3	#13128765	C₂	1	8	yes	maximal, complemented
4	#13128685	C₂	1	2	yes	maximal, complemented
5	#13128670	C₂	1	4	yes	maximal, complemented
6	#13128639	C₂	1	1	yes	maximal, characteristic, complemented
7	#13128543	C₂	1	2	yes	maximal, complemented
8	#13128524	C₂	1	4	yes	maximal, complemented
9	#13128467	C₂	1	2	yes	maximal, complemented
10	#13128441	C₂	1	8	yes	maximal, complemented
11	#13128399	C₂	1	4	yes	maximal, complemented
12	D₄×#6129	C₂	1	4	yes	maximal, complemented
13	#13128253	C₂	1	2	yes	maximal, complemented
14	#13128242	C₂	1	4	yes	maximal, complemented
15	#13128131	C₂	1	2	yes	maximal, complemented
16	C₂×#11719311	C₂	1	4	yes	maximal, complemented
17	H(5,𝔽₂)×Dic₁₃	C₂	1	2	yes	maximal, complemented
18	C₂×C₄×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3496	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	2	yes	—
21	C₂²×#6129	C₂²	1	4	yes	complemented
22	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
23	C₂³×C₄×D₁₃	C₂²	1	2	yes	complemented
24	C₁₃×#547	C₂²	1	4	yes	complemented
25	C₁₃×#546	C₂²	1	8	yes	complemented
26	D₄²×C₁₃	C₂²	1	4	yes	complemented
27	C₁₃×#537	C₂²	1	2	yes	complemented
28	C₁₃×#534	C₂²	1	4	yes	complemented
29	C₁₃×#532	C₂²	1	2	yes	complemented
30	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
31	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
32	#11719535	C₂²	1	4	yes	complemented
33	#11719534	C₂²	1	8	yes	complemented
34	#11719534	C₂²	1	8	yes	complemented
35	#11719533	C₂²	1	4	yes	complemented
36	#11719532	C₂²	1	4	yes	complemented
37	#11719532	C₂²	1	8	yes	complemented
38	#41×Dic₁₃	C₂²	1	4	yes	complemented
39	#41×Dic₁₃	C₂²	1	8	yes	complemented
40	#11719511	C₂²	1	8	yes	complemented
41	#11719509	C₂²	1	8	yes	complemented
42	D₄×C₂²⋊D₁₃	C₂²	1	8	yes	complemented
43	D₄×C₂²⋊D₁₃	C₂²	1	8	yes	complemented
44	C₂×#88192	C₂²	1	4	yes	complemented
45	C₂×#88191	C₂²	1	8	yes	complemented
46	#11719503	C₂²	1	2	yes	—
47	#11719503	C₂²	1	8	yes	complemented
48	#11719503	C₂²	1	8	yes	complemented
49	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
50	C₂×D₄×Dic₁₃	C₂²	1	8	yes	complemented
51	C₂×D₄×Dic₁₃	C₂²	1	8	yes	complemented
52	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
53	C₂×#88178	C₂²	1	4	yes	complemented
54	#11719437	C₂²	1	4	yes	complemented
55	#11719433	C₂²	1	2	yes	complemented
56	#11719433	C₂²	1	2	yes	complemented
57	#11719423	C₂²	1	4	yes	complemented
58	#11719421	C₂²	1	2	yes	complemented
59	#11719421	C₂²	1	2	yes	complemented
60	#11719386	C₂²	1	8	yes	complemented
61	#11719385	C₂²	1	4	yes	complemented
62	#11719385	C₂²	1	4	yes	complemented
63	#11719370	C₂²	1	16	yes	complemented
64	#11719363	C₂²	1	16	yes	complemented
65	#11719363	C₂²	1	16	yes	complemented
66	#11719354	C₂²	1	16	yes	complemented
67	#11719348	C₂²	1	8	yes	complemented
68	#11719344	C₂²	1	8	yes	complemented
69	#11719340	C₂²	1	8	yes	complemented
70	#11719329	C₂²	1	8	yes	complemented
71	#11719324	C₂²	1	8	yes	complemented
72	#11719323	C₂²	1	8	yes	complemented
73	#11719322	C₂²	1	8	yes	complemented
74	#11719322	C₂²	1	8	yes	complemented
75	#11719319	C₂²	1	8	yes	complemented
76	#11719316	C₂²	1	8	yes	complemented
77	#11719311	C₂²	1	4	yes	complemented
78	#11719311	C₂²	1	8	yes	complemented
79	#11719311	C₂²	1	4	yes	complemented
80	#11719311	C₂²	1	8	yes	complemented
81	#11719311	C₂²	1	8	yes	complemented
82	#11719311	C₂²	1	8	yes	complemented
83	#11719311	C₂²	1	8	yes	complemented
84	#11719311	C₂²	1	8	yes	complemented
85	#11719311	C₂²	1	8	yes	complemented
86	#11719307	C₂²	1	8	yes	complemented
87	#11719306	C₂²	1	16	yes	complemented
88	#11719305	C₂²	1	4	yes	complemented
89	#11719305	C₂²	1	4	yes	complemented
90	#11719303	C₂²	1	8	yes	complemented
91	#11719301	C₂²	1	8	yes	complemented
92	#11719298	C₂²	1	16	yes	complemented
93	#11719296	C₂²	1	16	yes	complemented
94	#11719296	C₂²	1	16	yes	complemented
95	#11719291	C₂²	1	16	yes	complemented
96	#11719270	C₂²	1	8	yes	complemented
97	#11719268	C₂²	1	4	yes	complemented
98	#11719262	C₂²	1	4	yes	complemented
99	#11719262	C₂²	1	4	yes	complemented
100	#11719260	C₂²	1	4	yes	complemented
101	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
102	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
103	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
104	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
105	#11719248	C₂²	1	4	yes	complemented
106	#11719244	C₂²	1	8	yes	complemented
107	D₄×Dic₂₆	C₂²	1	4	yes	complemented
108	C₄×#6129	C₂²	1	4	yes	complemented
109	C₄×#6129	C₂²	1	4	yes	complemented
110	#11719218	C₂²	1	8	yes	complemented
111	C₂×#88151	C₂²	1	4	yes	complemented
112	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
113	C₂×#88146	C₂²	1	4	yes	complemented
114	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
115	#11719205	C₂²	1	2	yes	complemented
116	#11719200	C₂²	1	16	yes	complemented
117	C₂×#88137	C₂²	1	8	yes	complemented
118	C₂×#88135	C₂²	1	2	yes	complemented
119	C₂×#88135	C₂²	1	8	yes	complemented
120	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
121	#11719188	C₂²	1	4	yes	complemented
122	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
123	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
124	#11719175	C₂²	1	2	yes	complemented
125	C₂⁴×D₁₃	C₂³	1	2	yes	—
126	C₁₃×H(5,𝔽₂)	—	2	16	no	—
127	C₂×C₁₃×#41	C₂³	1	4	yes	—
128	C₂×C₁₃×#41	C₂³	1	8	yes	—
129	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
130	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
131	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
132	C₂²×D₄×C₁₃	C₂³	1	4	yes	complemented
133	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
134	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
135	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	—
136	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	—
137	C₂³×Dic₁₃	C₂³	1	2	yes	—
138	C₂³×Dic₁₃	C₂³	1	8	yes	complemented
139	C₂×#6129	—	4	16	no	—
140	C₂×#6129	C₂³	1	4	yes	—
141	C₂×#6129	C₂³	1	4	yes	—
142	C₂×#6129	C₂³	1	8	yes	—
143	C₂×#6129	C₂³	1	8	yes	complemented
144	C₂×#6129	C₂³	1	8	yes	complemented
145	C₂×D₄×D₁₃	—	2	8	no	—
146	C₂×D₄×D₁₃	C₂³	1	4	yes	—
147	C₂×D₄×D₁₃	C₂³	1	4	yes	—
148	C₂²×D₅₂	C₂³	1	1	yes	characteristic
149	C₂²×C₄×D₁₃	—	4	8	no	—
150	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
151	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
152	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
153	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
154	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
155	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
156	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
157	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
158	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
159	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
160	C₂²×Dic₂₆	C₂³	1	4	yes	complemented
161	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	complemented
162	C₁₃×#127	C₂³	1	2	yes	complemented
163	C₁₃×#124	C₂³	1	4	yes	complemented
164	C₁₃×#123	C₂³	1	16	yes	complemented
165	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
166	C₁₃×#121	C₂³	1	4	yes	—
167	C₁₃×#121	C₂³	1	8	yes	—
168	C₁₃×#121	C₂³	1	4	yes	—
169	C₁₃×#121	C₂³	1	8	yes	complemented
170	C₁₃×#121	C₂³	1	8	yes	complemented
171	C₁₃×#121	C₂³	1	8	yes	complemented
172	C₁₃×#120	C₂³	1	16	yes	complemented
173	C₄×D₄×C₁₃	C₂³	1	4	yes	—
174	C₄×D₄×C₁₃	C₂³	1	4	yes	—
175	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
176	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
177	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
178	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	complemented
179	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
180	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
181	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
182	#88207	C₂³	1	16	yes	—
183	C₂×C₂²⋊Dic₁₃	C₂³	1	8	yes	—
184	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
185	C₂×C₂²⋊Dic₁₃	C₂³	1	8	yes	complemented
186	C₂×C₂²⋊Dic₁₃	C₂³	1	16	yes	complemented
187	#88201	C₂³	1	8	yes	—
188	#88200	C₂³	1	4	yes	—
189	#88200	C₂³	1	4	yes	—
190	Q₈×Dic₁₃	C₂³	1	4	yes	complemented
191	Q₈×Dic₁₃	C₂³	1	4	yes	complemented
192	Q₈×Dic₁₃	C₂³	1	8	yes	complemented
193	#88194	C₂³	1	8	yes	—
194	#88193	C₂³	1	16	yes	—
195	#88193	C₂³	1	16	yes	—
196	#88193	C₂³	1	16	yes	complemented
197	#88193	C₂³	1	16	yes	complemented
198	#88192	C₂³	1	4	yes	—
199	#88192	C₂³	1	8	yes	—
200	#88192	C₂³	1	4	yes	—
201	#88192	C₂³	1	4	yes	—
202	#88192	C₂³	1	4	yes	—
203	#88192	C₂³	1	8	yes	complemented
204	#88192	C₂³	1	8	yes	complemented
205	#88191	C₂³	1	8	yes	—
206	#88191	C₂³	1	16	yes	—
207	#88191	C₂³	1	16	yes	—
208	#88191	C₂³	1	16	yes	—
209	#88190	C₂³	1	4	yes	complemented
210	#88190	C₂³	1	4	yes	complemented
211	#88189	C₂³	1	8	yes	—
212	#88189	C₂³	1	16	yes	complemented
213	D₄×Dic₁₃	C₂³	1	8	yes	—
214	D₄×Dic₁₃	C₂³	1	8	yes	—
215	D₄×Dic₁₃	C₂³	1	4	yes	—
216	D₄×Dic₁₃	C₂³	1	4	yes	—
217	D₄×Dic₁₃	C₂³	1	8	yes	—
218	D₄×Dic₁₃	C₂³	1	16	yes	—
219	D₄×Dic₁₃	C₂³	1	8	yes	—
220	D₄×Dic₁₃	C₂³	1	4	yes	complemented
221	D₄×Dic₁₃	C₂³	1	4	yes	complemented
222	D₄×Dic₁₃	C₂³	1	16	yes	complemented
223	D₄×Dic₁₃	C₂³	1	4	yes	complemented
224	D₄×Dic₁₃	C₂³	1	16	yes	complemented
225	D₄×Dic₁₃	C₂³	1	16	yes	complemented
226	D₄×Dic₁₃	C₂³	1	8	yes	complemented
227	D₄×Dic₁₃	C₂³	1	16	yes	complemented
228	D₄×Dic₁₃	C₂³	1	4	yes	complemented
229	#88184	C₂³	1	8	yes	—
230	#88184	C₂³	1	8	yes	—
231	#88183	C₂³	1	16	yes	—
232	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
233	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
234	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
235	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
236	C₂×#6103	C₂³	1	2	yes	—
237	C₂×#6103	C₂³	1	2	yes	—
238	C₂×#6103	C₂³	1	8	yes	—
239	C₂×#6103	C₂³	1	8	yes	—
240	#88180	C₂³	1	4	yes	—
241	#88180	C₂³	1	16	yes	complemented
242	#88180	C₂³	1	8	yes	complemented
243	#88180	C₂³	1	8	yes	complemented
244	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₁₃	C₂³	1	8	yes	complemented
246	C₂×C₄⋊Dic₁₃	C₂³	1	4	yes	complemented
247	C₂×C₄⋊Dic₁₃	C₂³	1	8	yes	complemented
248	#88178	C₂³	1	4	yes	—
249	#88178	C₂³	1	4	yes	—
250	#88178	C₂³	1	8	yes	—
251	#88178	C₂³	1	8	yes	complemented
252	#88178	C₂³	1	8	yes	complemented
253	C₂×#6101	C₂³	1	2	yes	—
254	C₂×#6101	C₂³	1	8	yes	complemented
255	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
257	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₁₃	C₂³	1	8	yes	complemented
259	C₂×C₄×Dic₁₃	C₂³	1	8	yes	complemented
260	#88152	C₂³	1	16	yes	complemented
261	#88152	C₂³	1	16	yes	complemented
262	#88151	C₂³	1	4	yes	—
263	#88151	C₂³	1	4	yes	—
264	#88151	C₂³	1	8	yes	—
265	#88151	C₂³	1	8	yes	complemented
266	#88151	C₂³	1	8	yes	complemented
267	#88147	C₂³	1	4	yes	—
268	#88147	C₂³	1	4	yes	—
269	#88146	C₂³	1	4	yes	—
270	#88146	C₂³	1	4	yes	—
271	#88146	C₂³	1	8	yes	—
272	#88146	C₂³	1	8	yes	complemented
273	#88146	C₂³	1	8	yes	complemented
274	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
275	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
276	#88144	C₂³	1	4	yes	complemented
277	#88144	C₂³	1	4	yes	complemented
278	#88144	C₂³	1	8	yes	complemented
279	#88143	C₂³	1	16	yes	complemented
280	#88142	C₂³	1	8	yes	complemented
281	#88141	C₂³	1	4	yes	complemented
282	#88141	C₂³	1	4	yes	complemented
283	#88140	C₂³	1	16	yes	complemented
284	#88140	C₂³	1	16	yes	complemented
285	#88139	C₂³	1	16	yes	complemented
286	#88139	C₂³	1	16	yes	complemented
287	#88137	C₂³	1	8	yes	—
288	#88137	C₂³	1	16	yes	—
289	#88137	C₂³	1	8	yes	—
290	#88137	C₂³	1	16	yes	complemented
291	#88137	C₂³	1	16	yes	complemented
292	#88135	C₂³	1	8	yes	—
293	#88135	C₂³	1	8	yes	—
294	#88135	C₂³	1	8	yes	—
295	#88135	C₂³	1	16	yes	—
296	#88135	C₂³	1	8	yes	—
297	#88135	C₂³	1	16	yes	complemented
298	#88135	C₂³	1	16	yes	complemented
299	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
300	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
301	#88133	C₂³	1	8	yes	complemented
302	#88133	C₂³	1	16	yes	complemented
303	#88133	C₂³	1	8	yes	complemented
304	#88132	C₂³	1	16	yes	complemented
305	#88132	C₂³	1	16	yes	complemented
306	#88132	C₂³	1	16	yes	complemented
307	#88131	C₂³	1	8	yes	complemented
308	#88131	C₂³	1	8	yes	complemented
309	C₄×D₅₂	C₂³	1	4	yes	—
310	C₄×D₅₂	C₂³	1	4	yes	—
311	C₄²×D₁₃	C₂³	1	2	yes	—
312	C₄²×D₁₃	C₂³	1	2	yes	—
313	C₄²×D₁₃	C₂³	1	2	yes	—
314	C₄²×D₁₃	C₂³	1	2	yes	—
315	#88124	C₂³	1	4	yes	complemented
316	#88123	C₂³	1	2	yes	complemented
317	#88123	C₂³	1	2	yes	complemented
318	C₄×Dic₂₆	C₂³	1	4	yes	complemented
319	C₄×Dic₂₆	C₂³	1	4	yes	complemented
320	#62773	—	13	1	no	maximal, Sylow
321	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
322	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
323	C₂³×D₁₃	—	2	8	no	—
324	C₂³×D₁₃	—	4	4	no	—
325	C₂³×D₁₃	—	4	4	no	—
326	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
327	C₂³×D₁₃	C₂⁴	1	4	yes	—
328	C₂³×D₁₃	C₂⁴	1	4	yes	—
329	C₂³×D₁₃	C₂⁴	1	2	yes	—
330	C₁₃×#41	—	2	32	no	—
331	C₁₃×#41	—	2	16	no	—
332	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
333	C₂×D₄×C₁₃	—	2	32	no	—
334	C₂×D₄×C₁₃	—	2	32	no	—
335	C₂×D₄×C₁₃	—	4	8	no	—
336	C₂×D₄×C₁₃	#41	1	8	yes	complemented
337	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
338	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
339	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
340	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
341	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
342	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
343	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
344	C₂²×C₄×C₁₃	—	4	4	no	—
345	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
347	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
348	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
349	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
351	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
352	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂×C₂²⋊D₁₃	—	2	8	no	—
354	C₂×C₂²⋊D₁₃	—	4	16	no	—
355	C₂×C₂²⋊D₁₃	—	4	16	no	—
356	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
357	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
358	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
359	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
360	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
361	C₂²×Dic₁₃	—	4	4	no	—
362	C₂²×Dic₁₃	—	4	16	no	—
363	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
364	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
365	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
366	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
367	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
368	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
369	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
370	C₂²×Dic₁₃	C₂⁴	1	16	yes	—
371	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
372	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
374	#6129	—	2	16	no	—
375	#6129	—	4	16	no	—
376	#6129	—	4	16	no	—
377	#6129	—	4	16	no	—
378	#6129	—	4	8	no	—
379	D₄×D₁₃	—	2	16	no	—
380	D₄×D₁₃	—	2	16	no	—
381	C₂×D₅₂	—	2	4	no	—
382	C₂×D₅₂	C₂⁴	1	4	yes	—
383	C₂×C₄×D₁₃	—	2	4	no	—
384	C₂×C₄×D₁₃	—	2	4	no	—
385	C₂×C₄×D₁₃	—	2	16	no	—
386	C₂×C₄×D₁₃	—	4	8	no	—
387	C₂×C₄×D₁₃	—	4	4	no	—
388	C₂×C₄×D₁₃	—	4	8	no	—
389	C₂×C₄×D₁₃	—	4	4	no	—
390	C₂×C₄×D₁₃	—	4	8	no	—
391	C₂×C₄×D₁₃	—	4	4	no	—
392	C₂×C₄×D₁₃	—	4	2	no	—
393	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
394	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
395	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
396	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
397	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
398	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
399	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
400	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
401	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
402	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
403	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
404	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
405	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
406	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
407	C₂×Dic₂₆	—	4	8	no	—
408	C₂×Dic₂₆	C₂⁴	1	4	yes	—
409	C₂×Dic₂₆	C₂⁴	1	4	yes	—
410	C₂×Dic₂₆	C₂⁴	1	8	yes	—
411	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
412	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
413	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
414	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
415	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
416	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
417	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
418	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
419	C₄²×C₁₃	C₂⁴	1	2	yes	—
420	C₄²×C₁₃	C₂⁴	1	2	yes	—
421	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
422	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
423	C₂²⋊Dic₁₃	C₂⁴	1	16	yes	—
424	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
425	C₂²⋊Dic₁₃	C₂⁴	1	16	yes	—
426	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
427	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
428	C₂²⋊Dic₁₃	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	16	yes	—
434	#6103	C₂⁴	1	16	yes	—
435	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
436	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
437	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
438	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
439	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
440	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
441	C₄⋊Dic₁₃	C₂⁴	1	16	yes	—
442	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
443	C₄⋊Dic₁₃	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	#6101	C₂⁴	1	16	yes	—
450	C₄×Dic₁₃	C₂⁴	1	8	yes	—
451	C₄×Dic₁₃	C₂⁴	1	2	yes	—
452	C₄×Dic₁₃	C₂⁴	1	2	yes	—
453	C₄×Dic₁₃	C₂⁴	1	2	yes	—
454	C₄×Dic₁₃	C₂⁴	1	2	yes	—
455	C₄×Dic₁₃	C₂⁴	1	2	yes	—
456	C₄×Dic₁₃	C₂⁴	1	2	yes	—
457	C₄×Dic₁₃	C₂⁴	1	8	yes	—
458	C₄×Dic₁₃	C₂⁴	1	8	yes	—
459	C₄×Dic₁₃	C₂⁴	1	16	yes	—
460	#3520	—	13	4	no	—
461	#3519	—	13	4	no	—
462	#3513	—	13	8	no	—
463	#3506	—	13	2	no	—
464	#3505	—	13	4	no	—
465	#3501	—	13	1	no	—
466	#3496	D₁₃	1	1	yes	characteristic, complemented
467	#3492	—	13	2	no	—
468	#3490	—	13	4	no	—
469	#3484	—	13	2	no	—
470	#3481	—	13	8	no	—
471	#3475	—	13	4	no	—
472	D₄×#41	—	13	4	no	—
473	#3460	—	13	2	no	—
474	#3459	—	13	4	no	—
475	#3444	—	13	2	no	—
476	C₂×#525	—	13	4	no	—
477	C₄×H(5,𝔽₂)	—	13	2	no	—
478	C₂²×C₄×D₄	—	13	1	no	—
479	C₂³×C₁₃	—	2	16	no	—
480	C₂³×C₁₃	—	4	2	no	—
481	C₂³×C₁₃	—	4	2	no	—
482	C₂³×C₁₃	—	4	8	no	—
483	C₂³×C₁₃	—	4	8	no	—
484	C₂³×C₁₃	C₂×#41	1	8	yes	complemented
485	C₂³×C₁₃	C₂⁵	1	8	yes	—
486	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
487	C₂³×C₁₃	C₂⁵	1	4	yes	—
488	C₂²×D₁₃	—	2	2	no	—
489	C₂²×D₁₃	—	2	2	no	—
490	C₂²×D₁₃	—	2	2	no	—
491	C₂²×D₁₃	—	2	4	no	—
492	C₂²×D₁₃	—	2	8	no	—
493	C₂²×D₁₃	—	2	8	no	—
494	C₂²×D₁₃	—	2	8	no	—
495	C₂²×D₁₃	—	2	8	no	—
496	C₂²×D₁₃	—	4	4	no	—
497	C₂²×D₁₃	—	4	2	no	—
498	C₂²×D₁₃	—	4	4	no	—
499	C₂²×D₁₃	—	4	2	no	—
500	C₂²×D₁₃	—	4	32	no	—
501	C₂²×D₁₃	C₂⁵	1	4	yes	—
502	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
503	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
504	Q₈×C₁₃	—	2	8	no	—
505	D₄×C₁₃	—	2	16	no	—
506	D₄×C₁₃	—	2	32	no	—
507	D₄×C₁₃	—	2	8	no	—
508	D₄×C₁₃	—	2	8	no	—
509	D₄×C₁₃	—	4	8	no	—
510	D₄×C₁₃	—	4	4	no	—
511	D₄×C₁₃	C₂×#41	1	16	yes	complemented
512	C₂×C₄×C₁₃	—	2	16	no	—
513	C₂×C₄×C₁₃	—	2	16	no	—
514	C₂×C₄×C₁₃	—	2	8	no	—
515	C₂×C₄×C₁₃	—	2	2	no	—
516	C₂×C₄×C₁₃	—	4	2	no	—
517	C₂×C₄×C₁₃	—	4	4	no	—
518	C₂×C₄×C₁₃	—	4	1	no	—
519	C₂×C₄×C₁₃	C₂×#41	1	4	yes	complemented
520	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
521	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
522	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
523	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
524	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
525	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
526	C₂²⋊D₁₃	—	2	16	no	—
527	C₂²⋊D₁₃	—	2	16	no	—
528	C₂²⋊D₁₃	—	2	16	no	—
529	C₂²⋊D₁₃	—	4	16	no	—
530	C₂²⋊D₁₃	—	4	16	no	—
531	C₂×Dic₁₃	—	2	2	no	—
532	C₂×Dic₁₃	—	2	2	no	—
533	C₂×Dic₁₃	—	2	8	no	—
534	C₂×Dic₁₃	—	2	16	no	—
535	C₂×Dic₁₃	—	4	8	no	—
536	C₂×Dic₁₃	—	4	4	no	—
537	C₂×Dic₁₃	—	4	2	no	—
538	C₂×Dic₁₃	—	4	1	no	—
539	C₂×Dic₁₃	—	4	16	no	—
540	C₂×Dic₁₃	—	4	8	no	—
541	C₂×Dic₁₃	—	4	8	no	—
542	C₂×Dic₁₃	C₂⁵	1	2	yes	—
543	C₂×Dic₁₃	C₂⁵	1	2	yes	—
544	C₂×Dic₁₃	C₂⁵	1	8	yes	—
545	C₂×Dic₁₃	C₂⁵	1	4	yes	—
546	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
547	C₂×Dic₁₃	C₂⁵	1	8	yes	—
548	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
549	D₅₂	—	2	8	no	—
550	C₄×D₁₃	—	2	2	no	—
551	C₄×D₁₃	—	2	8	no	—
552	C₄×D₁₃	—	2	4	no	—
553	C₄×D₁₃	—	2	4	no	—
554	C₄×D₁₃	—	2	4	no	—
555	C₄×D₁₃	—	2	2	no	—
556	C₄×D₁₃	—	2	8	no	—
557	C₄×D₁₃	—	2	2	no	—
558	C₄×D₁₃	—	2	8	no	—
559	C₄×D₁₃	—	4	4	no	—
560	C₄×D₁₃	—	4	4	no	—
561	C₄×D₁₃	—	4	4	no	—
562	C₄×D₁₃	—	4	2	no	—
563	C₄×D₁₃	H(5,𝔽₂)	1	4	yes	complemented
564	Dic₂₆	—	2	8	no	—
565	Dic₂₆	—	4	8	no	—
566	Dic₂₆	—	4	4	no	—
567	C₂×H(5,𝔽₂)	C₂×D₁₃	1	2	yes	—
568	C₂²×#41	—	13	4	no	—
569	C₂³×D₄	—	13	1	no	—
570	C₂⁴×C₄	—	13	2	no	—
571	#559	—	13	8	no	—
572	#556	—	13	4	no	—
573	#555	—	13	4	no	—
574	#554	—	13	8	no	—
575	#554	—	13	8	no	—
576	#554	—	13	4	no	—
577	#553	—	13	16	no	—
578	#553	—	13	8	no	—
579	#553	—	13	8	no	—
580	#553	—	13	8	no	—
581	#552	—	13	8	no	—
582	#552	—	13	8	no	—
583	#551	—	13	16	no	—
584	#551	—	13	16	no	—
585	#551	—	13	16	no	—
586	#550	—	13	4	no	—
587	D₄×Q₈	—	13	4	no	—
588	#548	—	13	8	no	—
589	#547	—	13	8	no	—
590	#547	—	13	4	no	—
591	#547	C₂×D₁₃	1	4	yes	complemented
592	#546	—	13	8	no	—
593	#546	—	13	8	no	—
594	#546	—	13	8	no	—
595	#546	—	13	16	no	—
596	#546	—	13	16	no	—
597	#546	C₂×D₁₃	1	8	yes	complemented
598	D₄²	—	13	8	no	—
599	D₄²	—	13	8	no	—
600	D₄²	C₂×D₁₃	1	4	yes	complemented
601	#544	—	13	2	no	—
602	#543	—	13	4	no	—
603	#542	—	13	8	no	—
604	#540	—	13	8	no	—
605	#539	—	13	16	no	—
606	#539	—	13	8	no	—
607	#538	—	13	8	no	—
608	#538	—	13	8	no	—
609	#538	—	13	16	no	—
610	#537	C₂×D₁₃	1	2	yes	complemented
611	#535	—	13	4	no	—
612	#534	—	13	8	no	—
613	#534	C₂×D₁₃	1	4	yes	complemented
614	#533	—	13	2	no	—
615	#533	—	13	2	no	—
616	#533	—	13	2	no	—
617	#532	—	13	2	no	—
618	#532	—	13	2	no	—
619	#532	—	13	8	no	—
620	#532	C₂×D₁₃	1	2	yes	complemented
621	#529	—	13	4	no	—
622	#529	—	13	4	no	—
623	#529	—	13	16	no	—
624	#529	—	13	8	no	—
625	#529	—	13	4	no	—
626	#529	—	13	4	no	—
627	#529	—	13	4	no	—
628	#529	—	13	4	no	—
629	#525	—	13	4	no	—
630	#525	—	13	4	no	—
631	#525	—	13	8	no	—
632	#525	—	13	8	no	—
633	#525	—	13	8	no	—
634	#525	—	13	4	no	—
635	#525	—	13	8	no	—
636	#525	—	13	8	no	—
637	#525	—	13	8	no	—
638	#525	—	13	8	no	—
639	#525	—	13	16	no	—
640	C₂×#123	—	13	8	no	—
641	C₂×C₂²⋊Q₈	—	13	4	no	—
642	C₂×C₂²⋊Q₈	—	13	4	no	—
643	C₂×#121	—	13	4	no	—
644	C₂×#121	C₂×D₁₃	1	4	yes	complemented
645	C₂×#120	—	13	8	no	—
646	#520	—	13	4	no	—
647	#520	—	13	8	no	—
648	#518	—	13	2	no	—
649	#518	—	13	8	no	—
650	#518	—	13	8	no	—
651	C₄×#41	—	13	4	no	—
652	C₄×#41	—	13	8	no	—
653	C₄×#41	—	13	4	no	—
654	C₄×#41	—	13	4	no	—
655	C₂×C₄×D₄	—	13	1	no	—
656	C₂×C₄×D₄	—	13	8	no	—
657	C₂×C₄×D₄	—	13	8	no	—
658	C₂×C₄×D₄	—	13	2	no	—
659	C₂×C₄×D₄	—	13	4	no	—
660	C₂×C₄×D₄	—	13	4	no	—
661	C₂×C₄×D₄	—	13	4	no	—
662	C₂×C₄×D₄	—	13	4	no	—
663	C₂×C₄×D₄	—	13	1	no	—
664	C₂×C₄×D₄	—	13	2	no	—
665	C₂×C₄×D₄	—	13	8	no	—
666	C₂×C₄×D₄	—	13	1	no	—
667	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
668	C₂×#117	—	13	4	no	—
669	C₂²×C₄⋊C₄	—	13	1	no	—
670	C₂²×C₂²⋊C₄	—	13	2	no	—
671	C₂²×C₄²	—	13	1	no	—
672	C₂²×C₁₃	—	2	4	no	—
673	C₂²×C₁₃	—	2	1	no	—
674	C₂²×C₁₃	—	2	4	no	—
675	C₂²×C₁₃	—	2	1	no	—
676	C₂²×C₁₃	—	2	8	no	—
677	C₂²×C₁₃	—	2	8	no	—
678	C₂²×C₁₃	—	2	8	no	—
679	C₂²×C₁₃	—	4	8	no	—
680	C₂²×C₁₃	—	8	16	no	—
681	C₂²×C₁₃	C₂²×#41	1	2	yes	—
682	C₂²×C₁₃	C₂²×#41	1	8	yes	—
683	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
684	C₂×D₁₃	—	2	8	no	—
685	C₂×D₁₃	—	2	1	no	—
686	C₂×D₁₃	—	2	1	no	—
687	C₂×D₁₃	—	2	1	no	—
688	C₂×D₁₃	—	2	1	no	—
689	C₂×D₁₃	—	2	4	no	—
690	C₂×D₁₃	—	2	4	no	—
691	C₂×D₁₃	—	2	4	no	—
692	C₂×D₁₃	—	4	16	no	—
693	C₂×D₁₃	—	4	16	no	—
694	C₂×D₁₃	—	4	8	no	—
695	C₂×D₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
696	C₂×D₁₃	#585	1	2	yes	—
697	C₄×C₁₃	—	2	8	no	—
698	C₄×C₁₃	—	2	4	no	—
699	C₄×C₁₃	—	2	1	no	—
700	C₄×C₁₃	—	2	2	no	—
701	C₄×C₁₃	C₂²×#41	1	4	yes	—
702	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
703	Dic₁₃	—	2	2	no	—
704	Dic₁₃	—	2	8	no	—
705	Dic₁₃	—	2	1	no	—
706	Dic₁₃	—	2	4	no	—
707	Dic₁₃	—	2	8	no	—
708	Dic₁₃	—	2	2	no	—
709	Dic₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
710	C₂⁵	—	13	2	no	—
711	H(5,𝔽₂)	—	2	16	no	—
712	C₂×#41	—	13	4	no	—
713	C₂×#41	—	13	4	no	—
714	C₂×#41	—	13	8	no	—
715	C₂×#41	—	13	8	no	—
716	C₂×#41	—	13	8	no	—
717	C₂×#41	—	52	16	no	—
718	C₂×#41	C₂²×D₁₃	1	4	yes	—
719	C₂×#41	C₂²×D₁₃	1	8	yes	—
720	C₂²×Q₈	—	13	4	no	—
721	C₂²×D₄	—	13	2	no	—
722	C₂²×D₄	—	13	8	no	—
723	C₂²×D₄	—	13	8	no	—
724	C₂²×D₄	—	13	4	no	—
725	C₂²×D₄	—	13	4	no	—
726	C₂²×D₄	—	13	1	no	—
727	C₂²×D₄	—	26	8	no	—
728	C₂²×D₄	C₂²×D₁₃	1	8	yes	—
729	C₂²×D₄	C₂²×D₁₃	1	8	yes	—
730	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
731	C₂²×D₄	C₂²×D₁₃	1	4	yes	complemented
732	C₂³×C₄	—	13	2	no	—
733	C₂³×C₄	—	13	8	no	—
734	C₂³×C₄	—	13	1	no	—
735	C₂³×C₄	—	13	4	no	—
736	C₂³×C₄	—	13	1	no	—
737	C₂³×C₄	—	13	1	no	—
738	C₂³×C₄	—	13	2	no	—
739	C₂³×C₄	—	13	4	no	—
740	C₂³×C₄	—	13	4	no	—
741	C₂³×C₄	—	13	4	no	—
742	C₂³×C₄	—	13	2	no	—
743	C₂³×C₄	—	13	2	no	—
744	C₂³×C₄	—	52	8	no	—
745	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
746	C₄⋊Q₈	—	13	8	no	—
747	C₄⋊Q₈	—	13	2	no	—
748	C₄⋊Q₈	—	13	2	no	—
749	C₄⋊Q₈	C₂²×D₁₃	1	2	yes	complemented
750	#127	—	13	8	no	—
751	#127	C₂²×D₁₃	1	2	yes	complemented
752	#126	—	13	16	no	—
753	#126	—	13	16	no	—
754	#126	—	13	8	no	—
755	#126	—	13	8	no	—
756	#126	—	13	16	no	—
757	#125	—	13	4	no	—
758	#125	—	13	4	no	—
759	#125	—	13	16	no	—
760	#125	—	13	8	no	—
761	#125	—	13	4	no	—
762	#124	—	13	8	no	—
763	#124	—	13	4	no	—
764	#124	—	13	4	no	—
765	#124	—	13	16	no	—
766	#124	—	13	16	no	—
767	#124	C₂²×D₁₃	1	4	yes	complemented
768	#123	—	13	8	no	—
769	#123	—	13	16	no	—
770	#123	—	13	16	no	—
771	#123	—	13	8	no	—
772	#123	—	13	16	no	—
773	#123	—	13	16	no	—
774	#123	—	13	16	no	—
775	#123	—	13	8	no	—
776	#123	—	13	16	no	—
777	#123	—	13	16	no	—
778	#123	C₂²×D₁₃	1	16	yes	complemented
779	C₂²⋊Q₈	—	13	4	no	—
780	C₂²⋊Q₈	—	13	4	no	—
781	C₂²⋊Q₈	—	13	4	no	—
782	C₂²⋊Q₈	—	13	8	no	—
783	C₂²⋊Q₈	—	13	8	no	—
784	C₂²⋊Q₈	—	13	8	no	—
785	C₂²⋊Q₈	—	13	4	no	—
786	C₂²⋊Q₈	—	13	4	no	—
787	C₂²⋊Q₈	—	13	8	no	—
788	C₂²⋊Q₈	—	13	8	no	—
789	C₂²⋊Q₈	—	13	8	no	—
790	C₂²⋊Q₈	—	13	4	no	—
791	C₂²⋊Q₈	—	13	16	no	—
792	C₂²⋊Q₈	—	13	16	no	—
793	C₂²⋊Q₈	—	13	16	no	—
794	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
795	#121	—	13	4	no	—
796	#121	—	13	8	no	—
797	#121	—	13	8	no	—
798	#121	—	13	8	no	—
799	#121	—	13	4	no	—
800	#121	—	13	4	no	—
801	#121	—	13	4	no	—
802	#121	—	13	16	no	—
803	#121	—	13	16	no	—
804	#121	—	13	16	no	—
805	#121	—	13	16	no	—
806	#121	—	13	8	no	—
807	#121	—	13	8	no	—
808	#121	C₂²×D₁₃	1	4	yes	—
809	#121	C₂²×D₁₃	1	8	yes	—
810	#121	C₂²×D₁₃	1	4	yes	—
811	#121	C₂²×D₁₃	1	8	yes	complemented
812	#121	C₂²×D₁₃	1	8	yes	complemented
813	#121	C₂²×D₁₃	1	8	yes	complemented
814	#120	—	13	16	no	—
815	#120	—	13	8	no	—
816	#120	—	13	16	no	—
817	#120	—	13	16	no	—
818	#120	—	13	16	no	—
819	#120	C₂²×D₁₃	1	16	yes	complemented
820	C₄×Q₈	—	13	4	no	—
821	C₄×Q₈	—	13	4	no	—
822	C₄×Q₈	—	13	8	no	—
823	C₄×Q₈	—	13	4	no	—
824	C₄×Q₈	—	13	4	no	—
825	C₄×Q₈	—	13	4	no	—
826	C₄×Q₈	—	13	4	no	—
827	C₄×D₄	—	13	4	no	—
828	C₄×D₄	—	13	4	no	—
829	C₄×D₄	—	13	8	no	—
830	C₄×D₄	—	13	16	no	—
831	C₄×D₄	—	13	4	no	—
832	C₄×D₄	—	13	16	no	—
833	C₄×D₄	—	13	16	no	—
834	C₄×D₄	—	13	8	no	—
835	C₄×D₄	—	13	16	no	—
836	C₄×D₄	—	13	8	no	—
837	C₄×D₄	—	13	8	no	—
838	C₄×D₄	—	13	4	no	—
839	C₄×D₄	—	13	8	no	—
840	C₄×D₄	—	13	16	no	—
841	C₄×D₄	—	13	4	no	—
842	C₄×D₄	—	13	4	no	—
843	C₄×D₄	—	13	8	no	—
844	C₄×D₄	—	13	8	no	—
845	C₄×D₄	—	13	8	no	—
846	C₄×D₄	—	13	8	no	—
847	C₄×D₄	—	13	4	no	—
848	C₄×D₄	—	13	4	no	—
849	C₄×D₄	—	13	8	no	—
850	C₄×D₄	—	13	8	no	—
851	C₄×D₄	—	13	8	no	—
852	C₄×D₄	—	13	16	no	—
853	C₄×D₄	—	13	16	no	—
854	C₄×D₄	—	13	16	no	—
855	C₄×D₄	—	13	8	no	—
856	C₄×D₄	—	13	4	no	—
857	C₄×D₄	—	13	4	no	—
858	C₄×D₄	C₂²×D₁₃	1	4	yes	—
859	C₄×D₄	C₂²×D₁₃	1	4	yes	—
860	C₄×D₄	C₂²×D₁₃	1	4	yes	complemented
861	C₄×D₄	C₂²×D₁₃	1	4	yes	complemented
862	#117	—	13	4	no	—
863	#117	—	13	8	no	—
864	#117	—	13	16	no	—
865	#117	—	13	8	no	—
866	#117	—	13	4	no	—
867	#117	—	13	8	no	—
868	#117	—	13	8	no	—
869	#117	—	13	8	no	—
870	#117	—	13	4	no	—
871	#117	—	13	8	no	—
872	#117	—	13	8	no	—
873	C₂×C₄⋊C₄	—	13	1	no	—
874	C₂×C₄⋊C₄	—	13	2	no	—
875	C₂×C₄⋊C₄	—	13	4	no	—
876	C₂×C₄⋊C₄	—	13	8	no	—
877	C₂×C₄⋊C₄	—	13	8	no	—
878	C₂×C₄⋊C₄	—	13	8	no	—
879	C₂×C₄⋊C₄	—	13	4	no	—
880	C₂×C₄⋊C₄	—	13	4	no	—
881	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
882	C₂×C₄⋊C₄	C₂²×D₁₃	1	4	yes	complemented
883	C₂×C₂²⋊C₄	—	13	2	no	—
884	C₂×C₂²⋊C₄	—	13	8	no	—
885	C₂×C₂²⋊C₄	—	13	8	no	—
886	C₂×C₂²⋊C₄	—	13	16	no	—
887	C₂×C₂²⋊C₄	—	13	2	no	—
888	C₂×C₂²⋊C₄	—	13	2	no	—
889	C₂×C₂²⋊C₄	—	13	8	no	—
890	C₂×C₂²⋊C₄	—	13	8	no	—
891	C₂×C₂²⋊C₄	—	13	8	no	—
892	C₂×C₂²⋊C₄	—	13	8	no	—
893	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
894	C₂×C₂²⋊C₄	C₂²×D₁₃	1	8	yes	complemented
895	C₂×C₄²	—	13	8	no	—
896	C₂×C₄²	—	13	1	no	—
897	C₂×C₄²	—	13	1	no	—
898	C₂×C₄²	—	13	1	no	—
899	C₂×C₄²	—	13	8	no	—
900	C₂×C₄²	—	13	2	no	—
901	C₂×C₄²	—	13	2	no	—
902	C₂×C₄²	—	13	2	no	—
903	C₂×C₄²	—	13	2	no	—
904	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
905	C₂×C₁₃	—	2	2	no	—
906	C₂×C₁₃	—	2	8	no	—
907	C₂×C₁₃	—	4	8	no	—
908	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
909	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
910	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
911	D₁₃	—	2	2	no	—
912	D₁₃	—	2	2	no	—
913	D₁₃	—	4	4	no	—
914	C₂⁴	—	13	1	no	—
915	C₂⁴	—	13	4	no	—
916	C₂⁴	—	13	4	no	—
917	C₂⁴	—	13	2	no	—
918	C₂⁴	—	26	8	no	—
919	C₂⁴	—	52	4	no	—
920	C₂⁴	—	52	4	no	—
921	C₂⁴	C₂³×D₁₃	1	8	yes	—
922	C₂⁴	C₂³×D₁₃	1	2	yes	—
923	#41	—	2	32	no	—
924	#41	—	2	16	no	—
925	#41	—	26	16	no	—
926	#41	—	52	16	no	—
927	#41	—	52	16	no	—
928	#41	—	52	16	no	—
929	#41	—	52	8	no	—
930	C₂×Q₈	—	13	4	no	—
931	C₂×Q₈	—	13	4	no	—
932	C₂×Q₈	—	13	8	no	—
933	C₂×Q₈	—	52	8	no	—
934	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
935	C₂×D₄	—	2	32	no	—
936	C₂×D₄	—	2	32	no	—
937	C₂×D₄	—	4	8	no	—
938	C₂×D₄	—	13	8	no	—
939	C₂×D₄	—	13	8	no	—
940	C₂×D₄	—	13	8	no	—
941	C₂×D₄	—	13	16	no	—
942	C₂×D₄	—	13	16	no	—
943	C₂×D₄	—	13	4	no	—
944	C₂×D₄	—	26	8	no	—
945	C₂×D₄	—	26	16	no	—
946	C₂×D₄	—	26	16	no	—
947	C₂×D₄	—	26	4	no	—
948	C₂×D₄	—	52	16	no	—
949	C₂×D₄	—	52	16	no	—
950	C₂×D₄	#6129	1	8	yes	complemented
951	C₂×D₄	C₂³×D₁₃	1	8	yes	—
952	C₂×D₄	C₂³×D₁₃	1	16	yes	—
953	C₂×D₄	C₂³×D₁₃	1	4	yes	—
954	C₂×D₄	C₂³×D₁₃	1	4	yes	—
955	C₂×D₄	C₂³×D₁₃	1	4	yes	—
956	C₂×D₄	C₂³×D₁₃	1	8	yes	—
957	C₂×D₄	C₂³×D₁₃	1	4	yes	—
958	C₂²×C₄	—	4	4	no	—
959	C₂²×C₄	—	13	1	no	—
960	C₂²×C₄	—	13	1	no	—
961	C₂²×C₄	—	13	1	no	—
962	C₂²×C₄	—	13	4	no	—
963	C₂²×C₄	—	13	8	no	—
964	C₂²×C₄	—	13	1	no	—
965	C₂²×C₄	—	13	8	no	—
966	C₂²×C₄	—	13	8	no	—
967	C₂²×C₄	—	13	2	no	—
968	C₂²×C₄	—	13	4	no	—
969	C₂²×C₄	—	13	8	no	—
970	C₂²×C₄	—	13	16	no	—
971	C₂²×C₄	—	13	2	no	—
972	C₂²×C₄	—	13	2	no	—
973	C₂²×C₄	—	13	2	no	—
974	C₂²×C₄	—	13	1	no	—
975	C₂²×C₄	—	13	1	no	—
976	C₂²×C₄	—	13	1	no	—
977	C₂²×C₄	—	13	4	no	—
978	C₂²×C₄	—	13	4	no	—
979	C₂²×C₄	—	13	4	no	—
980	C₂²×C₄	—	13	2	no	—
981	C₂²×C₄	—	13	4	no	—
982	C₂²×C₄	—	13	4	no	—
983	C₂²×C₄	—	13	4	no	—
984	C₂²×C₄	—	26	4	no	—
985	C₂²×C₄	—	26	16	no	—
986	C₂²×C₄	—	26	4	no	—
987	C₂²×C₄	—	52	4	no	—
988	C₂²×C₄	—	52	8	no	—
989	C₂²×C₄	—	52	8	no	—
990	C₂²×C₄	—	52	4	no	—
991	C₂²×C₄	—	52	8	no	—
992	C₂²×C₄	—	52	4	no	—
993	C₂²×C₄	—	52	2	no	—
994	C₂²×C₄	—	52	4	no	—
995	C₂²×C₄	—	52	16	no	—
996	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
997	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
998	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
999	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1000	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1001	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1002	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1003	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1004	C₄⋊C₄	—	13	4	no	—
1005	C₄⋊C₄	—	13	8	no	—
1006	C₄⋊C₄	—	13	4	no	—
1007	C₄⋊C₄	—	13	4	no	—
1008	C₄⋊C₄	—	13	8	no	—
1009	C₄⋊C₄	—	13	8	no	—
1010	C₄⋊C₄	—	13	16	no	—
1011	C₄⋊C₄	—	13	8	no	—
1012	C₄⋊C₄	—	13	16	no	—
1013	C₄⋊C₄	—	13	4	no	—
1014	C₄⋊C₄	—	13	8	no	—
1015	C₄⋊C₄	—	13	8	no	—
1016	C₄⋊C₄	—	13	8	no	—
1017	C₄⋊C₄	—	13	8	no	—
1018	C₄⋊C₄	—	13	4	no	—
1019	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1020	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1021	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1022	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1023	C₂²⋊C₄	—	13	8	no	—
1024	C₂²⋊C₄	—	13	8	no	—
1025	C₂²⋊C₄	—	13	16	no	—
1026	C₂²⋊C₄	—	13	8	no	—
1027	C₂²⋊C₄	—	13	16	no	—
1028	C₂²⋊C₄	—	13	8	no	—
1029	C₂²⋊C₄	—	13	8	no	—
1030	C₂²⋊C₄	—	13	8	no	—
1031	C₂²⋊C₄	—	13	8	no	—
1032	C₂²⋊C₄	—	13	8	no	—
1033	C₂²⋊C₄	—	13	8	no	—
1034	C₂²⋊C₄	—	13	8	no	—
1035	C₂²⋊C₄	—	13	16	no	—
1036	C₂²⋊C₄	—	13	16	no	—
1037	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1038	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1039	C₂²⋊C₄	C₂³×D₁₃	1	16	yes	—
1040	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1041	C₄²	—	13	2	no	—
1042	C₄²	—	13	8	no	—
1043	C₄²	—	13	2	no	—
1044	C₄²	—	13	2	no	—
1045	C₄²	—	13	2	no	—
1046	C₄²	—	13	2	no	—
1047	C₄²	—	13	2	no	—
1048	C₄²	—	13	16	no	—
1049	C₄²	—	13	8	no	—
1050	C₄²	—	13	8	no	—
1051	C₄²	C₂³×D₁₃	1	2	yes	—
1052	C₄²	C₂³×D₁₃	1	2	yes	—
1053	C₁₃	#62773	1	1	yes	characteristic, complemented, Sylow
1054	C₂³	—	2	16	no	—
1055	C₂³	—	4	2	no	—
1056	C₂³	—	4	2	no	—
1057	C₂³	—	4	8	no	—
1058	C₂³	—	4	8	no	—
1059	C₂³	—	13	1	no	—
1060	C₂³	—	13	1	no	—
1061	C₂³	—	13	4	no	—
1062	C₂³	—	26	2	no	—
1063	C₂³	—	26	2	no	—
1064	C₂³	—	26	8	no	—
1065	C₂³	—	26	8	no	—
1066	C₂³	—	26	2	no	—
1067	C₂³	—	26	8	no	—
1068	C₂³	—	26	8	no	—
1069	C₂³	—	26	4	no	—
1070	C₂³	—	52	2	no	—
1071	C₂³	—	52	4	no	—
1072	C₂³	—	52	2	no	—
1073	C₂³	—	52	4	no	—
1074	C₂³	—	52	32	no	—
1075	C₂³	C₂×#6129	1	8	yes	complemented
1076	C₂³	C₂⁴×D₁₃	1	8	yes	—
1077	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1078	C₂³	C₂⁴×D₁₃	1	4	yes	—
1079	Q₈	—	2	8	no	—
1080	Q₈	—	26	8	no	—
1081	Q₈	—	52	8	no	—
1082	Q₈	—	52	4	no	—
1083	D₄	—	2	32	no	—
1084	D₄	—	2	16	no	—
1085	D₄	—	2	8	no	—
1086	D₄	—	2	8	no	—
1087	D₄	—	4	8	no	—
1088	D₄	—	4	4	no	—
1089	D₄	—	26	16	no	—
1090	D₄	—	26	16	no	—
1091	D₄	—	26	16	no	—
1092	D₄	—	26	8	no	—
1093	D₄	—	52	16	no	—
1094	D₄	—	52	16	no	—
1095	D₄	C₂×#6129	1	16	yes	complemented
1096	C₂×C₄	—	2	16	no	—
1097	C₂×C₄	—	2	16	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	8	no	—
1100	C₂×C₄	—	4	4	no	—
1101	C₂×C₄	—	4	2	no	—
1102	C₂×C₄	—	4	1	no	—
1103	C₂×C₄	—	13	1	no	—
1104	C₂×C₄	—	13	4	no	—
1105	C₂×C₄	—	13	2	no	—
1106	C₂×C₄	—	13	8	no	—
1107	C₂×C₄	—	13	2	no	—
1108	C₂×C₄	—	13	1	no	—
1109	C₂×C₄	—	13	4	no	—
1110	C₂×C₄	—	13	8	no	—
1111	C₂×C₄	—	26	2	no	—
1112	C₂×C₄	—	26	8	no	—
1113	C₂×C₄	—	26	2	no	—
1114	C₂×C₄	—	26	8	no	—
1115	C₂×C₄	—	26	4	no	—
1116	C₂×C₄	—	26	2	no	—
1117	C₂×C₄	—	26	8	no	—
1118	C₂×C₄	—	26	16	no	—
1119	C₂×C₄	—	26	2	no	—
1120	C₂×C₄	—	26	4	no	—
1121	C₂×C₄	—	26	4	no	—
1122	C₂×C₄	—	26	2	no	—
1123	C₂×C₄	—	26	8	no	—
1124	C₂×C₄	—	52	2	no	—
1125	C₂×C₄	—	52	4	no	—
1126	C₂×C₄	—	52	4	no	—
1127	C₂×C₄	—	52	4	no	—
1128	C₂×C₄	—	52	1	no	—
1129	C₂×C₄	—	52	2	no	—
1130	C₂×C₄	—	52	4	no	—
1131	C₂×C₄	—	52	8	no	—
1132	C₂×C₄	—	52	16	no	—
1133	C₂×C₄	—	52	8	no	—
1134	C₂×C₄	—	52	8	no	—
1135	C₂×C₄	C₂×#6129	1	4	yes	complemented
1136	C₂×C₄	C₂⁴×D₁₃	1	8	yes	—
1137	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1138	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1139	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1140	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1141	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1142	C₂²	—	2	1	no	—
1143	C₂²	—	2	4	no	—
1144	C₂²	—	2	1	no	—
1145	C₂²	—	2	4	no	—
1146	C₂²	—	2	8	no	—
1147	C₂²	—	2	8	no	—
1148	C₂²	—	2	8	no	—
1149	C₂²	—	4	8	no	—
1150	C₂²	—	8	16	no	—
1151	C₂²	—	13	2	no	—
1152	C₂²	—	13	2	no	—
1153	C₂²	—	26	8	no	—
1154	C₂²	—	26	1	no	—
1155	C₂²	—	26	1	no	—
1156	C₂²	—	26	1	no	—
1157	C₂²	—	26	1	no	—
1158	C₂²	—	26	4	no	—
1159	C₂²	—	26	4	no	—
1160	C₂²	—	26	4	no	—
1161	C₂²	—	52	16	no	—
1162	C₂²	—	52	16	no	—
1163	C₂²	—	52	8	no	—
1164	C₂²	C₂²×#6129	1	8	yes	—
1165	C₂²	C₂²×#6129	1	2	yes	—
1166	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1167	C₄	—	2	8	no	—
1168	C₄	—	2	1	no	—
1169	C₄	—	2	4	no	—
1170	C₄	—	2	2	no	—
1171	C₄	—	13	2	no	—
1172	C₄	—	26	2	no	—
1173	C₄	—	26	1	no	—
1174	C₄	—	26	4	no	—
1175	C₄	—	26	8	no	—
1176	C₄	—	26	2	no	—
1177	C₄	—	26	8	no	—
1178	C₄	C₂²×#6129	1	4	yes	—
1179	C₄	D₁₃×H(5,𝔽₂)	1	2	yes	—
1180	C₂	—	2	2	no	—
1181	C₂	—	2	8	no	—
1182	C₂	—	4	8	no	—
1183	C₂	—	26	2	no	—
1184	C₂	—	26	2	no	—
1185	C₂	—	52	4	no	—
1186	C₂	C₂³×#6129	1	1	yes	characteristic
1187	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1188	C₂	D₁₃×#585	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁶
Fitting	C₁₃×#3496	C₂
hypercenter	#3496	D₁₃
hypocenter	C₁₃	#62773
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #3496

Complements

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

N	H ≅ G/N	type
1. #13128876	C₂	semidirect
2. #13128859	C₂	semidirect
3. #13128765	C₂	semidirect
4. #13128685	C₂	semidirect
5. #13128670	C₂	semidirect
6. #13128639	C₂	semidirect
7. #13128543	C₂	semidirect
8. #13128524	C₂	semidirect
9. #13128467	C₂	semidirect
10. #13128441	C₂	semidirect
11. #13128399	C₂	semidirect
12. D₄×#6129	C₂	semidirect
13. #13128253	C₂	semidirect
14. #13128242	C₂	semidirect
15. #13128131	C₂	semidirect
16. C₂×#11719311	C₂	semidirect
17. H(5,𝔽₂)×Dic₁₃	C₂	semidirect
18. C₂×C₄×D₄×D₁₃	C₂	semidirect
19. C₁₃×#3496	C₂	semidirect
21. C₂²×#6129	C₂²	semidirect
23. C₂³×C₄×D₁₃	C₂²	semidirect
24. C₁₃×#547	C₂²	semidirect
25. C₁₃×#546	C₂²	semidirect
26. D₄²×C₁₃	C₂²	semidirect
27. C₁₃×#537	C₂²	semidirect
28. C₁₃×#534	C₂²	semidirect
29. C₁₃×#532	C₂²	semidirect
30. C₂×C₁₃×#121	C₂²	semidirect
32. #11719535	C₂²	semidirect
33. #11719534	C₂²	semidirect
34. #11719534	C₂²	semidirect
35. #11719533	C₂²	semidirect
36. #11719532	C₂²	semidirect
37. #11719532	C₂²	semidirect
38. #41×Dic₁₃	C₂²	semidirect
39. #41×Dic₁₃	C₂²	semidirect
40. #11719511	C₂²	semidirect
41. #11719509	C₂²	semidirect
42. D₄×C₂²⋊D₁₃	C₂²	semidirect
43. D₄×C₂²⋊D₁₃	C₂²	semidirect
44. C₂×#88192	C₂²	semidirect
45. C₂×#88191	C₂²	semidirect
47. #11719503	C₂²	semidirect
48. #11719503	C₂²	semidirect
50. C₂×D₄×Dic₁₃	C₂²	semidirect
51. C₂×D₄×Dic₁₃	C₂²	semidirect
52. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
53. C₂×#88178	C₂²	semidirect
54. #11719437	C₂²	semidirect
55. #11719433	C₂²	semidirect
56. #11719433	C₂²	semidirect
57. #11719423	C₂²	semidirect
58. #11719421	C₂²	semidirect
59. #11719421	C₂²	semidirect
60. #11719386	C₂²	semidirect
61. #11719385	C₂²	semidirect
62. #11719385	C₂²	semidirect
63. #11719370	C₂²	semidirect
64. #11719363	C₂²	semidirect
65. #11719363	C₂²	semidirect
66. #11719354	C₂²	semidirect
67. #11719348	C₂²	semidirect
68. #11719344	C₂²	semidirect
69. #11719340	C₂²	semidirect
70. #11719329	C₂²	semidirect
71. #11719324	C₂²	semidirect
72. #11719323	C₂²	semidirect
73. #11719322	C₂²	semidirect
74. #11719322	C₂²	semidirect
75. #11719319	C₂²	semidirect
76. #11719316	C₂²	semidirect
77. #11719311	C₂²	semidirect
78. #11719311	C₂²	semidirect
79. #11719311	C₂²	semidirect
80. #11719311	C₂²	semidirect
81. #11719311	C₂²	semidirect
82. #11719311	C₂²	semidirect
83. #11719311	C₂²	semidirect
84. #11719311	C₂²	semidirect
85. #11719311	C₂²	semidirect
86. #11719307	C₂²	semidirect
87. #11719306	C₂²	semidirect
88. #11719305	C₂²	semidirect
89. #11719305	C₂²	semidirect
90. #11719303	C₂²	semidirect
91. #11719301	C₂²	semidirect
92. #11719298	C₂²	semidirect
93. #11719296	C₂²	semidirect
94. #11719296	C₂²	semidirect
95. #11719291	C₂²	semidirect
96. #11719270	C₂²	semidirect
97. #11719268	C₂²	semidirect
98. #11719262	C₂²	semidirect
99. #11719262	C₂²	semidirect
100. #11719260	C₂²	semidirect
101. C₄×D₄×D₁₃	C₂²	semidirect
102. C₄×D₄×D₁₃	C₂²	semidirect
103. C₄×D₄×D₁₃	C₂²	semidirect
104. C₄×D₄×D₁₃	C₂²	semidirect
105. #11719248	C₂²	semidirect
106. #11719244	C₂²	semidirect
107. D₄×Dic₂₆	C₂²	semidirect
108. C₄×#6129	C₂²	semidirect
109. C₄×#6129	C₂²	semidirect
110. #11719218	C₂²	semidirect
111. C₂×#88151	C₂²	semidirect
112. C₂×#88147	C₂²	semidirect
113. C₂×#88146	C₂²	semidirect
114. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
115. #11719205	C₂²	semidirect
116. #11719200	C₂²	semidirect
117. C₂×#88137	C₂²	semidirect
118. C₂×#88135	C₂²	semidirect
119. C₂×#88135	C₂²	semidirect
120. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
121. #11719188	C₂²	semidirect
122. C₂×C₄×D₅₂	C₂²	semidirect
123. C₂×C₄²×D₁₃	C₂²	semidirect
124. #11719175	C₂²	semidirect
132. C₂²×D₄×C₁₃	C₂³	semidirect
138. C₂³×Dic₁₃	C₂³	semidirect
143. C₂×#6129	C₂³	semidirect
144. C₂×#6129	C₂³	semidirect
160. C₂²×Dic₂₆	C₂³	semidirect
161. C₁₃×C₄⋊Q₈	C₂³	semidirect
162. C₁₃×#127	C₂³	semidirect
163. C₁₃×#124	C₂³	semidirect
164. C₁₃×#123	C₂³	semidirect
165. C₁₃×C₂²⋊Q₈	C₂³	semidirect
169. C₁₃×#121	C₂³	semidirect
170. C₁₃×#121	C₂³	semidirect
171. C₁₃×#121	C₂³	semidirect
172. C₁₃×#120	C₂³	semidirect
175. C₄×D₄×C₁₃	C₂³	semidirect
176. C₄×D₄×C₁₃	C₂³	semidirect
178. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
180. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
185. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
186. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
190. Q₈×Dic₁₃	C₂³	semidirect
191. Q₈×Dic₁₃	C₂³	semidirect
192. Q₈×Dic₁₃	C₂³	semidirect
196. #88193	C₂³	semidirect
197. #88193	C₂³	semidirect
203. #88192	C₂³	semidirect
204. #88192	C₂³	semidirect
209. #88190	C₂³	semidirect
210. #88190	C₂³	semidirect
212. #88189	C₂³	semidirect
220. D₄×Dic₁₃	C₂³	semidirect
221. D₄×Dic₁₃	C₂³	semidirect
222. D₄×Dic₁₃	C₂³	semidirect
223. D₄×Dic₁₃	C₂³	semidirect
224. D₄×Dic₁₃	C₂³	semidirect
225. D₄×Dic₁₃	C₂³	semidirect
226. D₄×Dic₁₃	C₂³	semidirect
227. D₄×Dic₁₃	C₂³	semidirect
228. D₄×Dic₁₃	C₂³	semidirect
241. #88180	C₂³	semidirect
242. #88180	C₂³	semidirect
243. #88180	C₂³	semidirect
245. C₂×C₄⋊Dic₁₃	C₂³	semidirect
246. C₂×C₄⋊Dic₁₃	C₂³	semidirect
247. C₂×C₄⋊Dic₁₃	C₂³	semidirect
251. #88178	C₂³	semidirect
252. #88178	C₂³	semidirect
254. C₂×#6101	C₂³	semidirect
258. C₂×C₄×Dic₁₃	C₂³	semidirect
259. C₂×C₄×Dic₁₃	C₂³	semidirect
260. #88152	C₂³	semidirect
261. #88152	C₂³	semidirect
265. #88151	C₂³	semidirect
266. #88151	C₂³	semidirect
272. #88146	C₂³	semidirect
273. #88146	C₂³	semidirect
276. #88144	C₂³	semidirect
277. #88144	C₂³	semidirect
278. #88144	C₂³	semidirect
279. #88143	C₂³	semidirect
280. #88142	C₂³	semidirect
281. #88141	C₂³	semidirect
282. #88141	C₂³	semidirect
283. #88140	C₂³	semidirect
284. #88140	C₂³	semidirect
285. #88139	C₂³	semidirect
286. #88139	C₂³	semidirect
290. #88137	C₂³	semidirect
291. #88137	C₂³	semidirect
297. #88135	C₂³	semidirect
298. #88135	C₂³	semidirect
301. #88133	C₂³	semidirect
302. #88133	C₂³	semidirect
303. #88133	C₂³	semidirect
304. #88132	C₂³	semidirect
305. #88132	C₂³	semidirect
306. #88132	C₂³	semidirect
307. #88131	C₂³	semidirect
308. #88131	C₂³	semidirect
315. #88124	C₂³	semidirect
316. #88123	C₂³	semidirect
317. #88123	C₂³	semidirect
318. C₄×Dic₂₆	C₂³	semidirect
319. C₄×Dic₂₆	C₂³	semidirect
336. C₂×D₄×C₁₃	#41	semidirect
466. #3496	D₁₃	semidirect
484. C₂³×C₁₃	C₂×#41	semidirect
511. D₄×C₁₃	C₂×#41	semidirect
519. C₂×C₄×C₁₃	C₂×#41	semidirect
563. C₄×D₁₃	H(5,𝔽₂)	semidirect
591. #547	C₂×D₁₃	semidirect
597. #546	C₂×D₁₃	semidirect
600. D₄²	C₂×D₁₃	semidirect
610. #537	C₂×D₁₃	semidirect
613. #534	C₂×D₁₃	semidirect
620. #532	C₂×D₁₃	semidirect
644. C₂×#121	C₂×D₁₃	semidirect
731. C₂²×D₄	C₂²×D₁₃	semidirect
749. C₄⋊Q₈	C₂²×D₁₃	semidirect
751. #127	C₂²×D₁₃	semidirect
767. #124	C₂²×D₁₃	semidirect
778. #123	C₂²×D₁₃	semidirect
794. C₂²⋊Q₈	C₂²×D₁₃	semidirect
811. #121	C₂²×D₁₃	semidirect
812. #121	C₂²×D₁₃	semidirect
813. #121	C₂²×D₁₃	semidirect
819. #120	C₂²×D₁₃	semidirect
860. C₄×D₄	C₂²×D₁₃	semidirect
861. C₄×D₄	C₂²×D₁₃	semidirect
882. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
894. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
950. C₂×D₄	#6129	semidirect
1053. C₁₃	#62773	semidirect
1075. C₂³	C₂×#6129	semidirect
1095. D₄	C₂×#6129	semidirect
1135. C₂×C₄	C₂×#6129	semidirect

Maximal subgroups

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

subgroup	index
#13128876	2
#13128859	2
#13128765	2
#13128685	2
#13128670	2
#13128639	2
#13128543	2
#13128524	2
#13128467	2
#13128441	2
#13128399	2
D₄×#6129	2
#13128253	2
#13128242	2
#13128131	2
C₂×#11719311	2
H(5,𝔽₂)×Dic₁₃	2
C₂×C₄×D₄×D₁₃	2
C₁₃×#3496	2
#62773	13