Subgroups — C₄×#11719362 #16021988

Order 3328.

2650 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719362	C₂	1	1	yes	maximal, characteristic
2	#13117650	C₂	1	1	yes	maximal, characteristic, complemented
3	#13117647	C₂	1	1	yes	maximal, characteristic, complemented
4	#13117630	C₂	1	1	yes	maximal, characteristic, complemented
5	#13117625	C₂	1	1	yes	maximal, characteristic, complemented
6	#13117617	C₂	1	1	yes	maximal, characteristic, complemented
7	#13117608	C₂	1	1	yes	maximal, characteristic, complemented
8	#13117598	C₂	1	1	yes	maximal, characteristic, complemented
9	#13117597	C₂	1	1	yes	maximal, characteristic, complemented
10	#13117565	C₂	1	1	yes	maximal, characteristic, complemented
11	#13117533	C₂	1	1	yes	maximal, characteristic, complemented
12	#13117492	C₂	1	1	yes	maximal, characteristic, complemented
13	#13117489	C₂	1	1	yes	maximal, characteristic, complemented
14	#13117468	C₂	1	1	yes	maximal, characteristic, complemented
15	#13117465	C₂	1	1	yes	maximal, characteristic, complemented
16	#13117430	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×#88152	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×#88133	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#88139	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#88139	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#88151	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#88148	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#88184	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#88138	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#88192	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#88136	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#88191	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄²×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#88147	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₁₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
34	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
35	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
36	C₂×#88192	C₂²	1	1	yes	characteristic
37	C₂×#88191	C₂²	1	1	yes	characteristic
38	C₂×#88184	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
40	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
41	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
42	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
44	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
45	#11719362	C₄	1	16	yes	direct product factor
46	C₂×#88152	C₂²	1	1	yes	characteristic
47	C₂×#88151	C₂²	1	1	yes	characteristic
48	C₂×#88148	C₂²	1	1	yes	characteristic
49	C₂×#88147	C₂²	1	1	yes	characteristic
50	C₂×#88147	C₂²	1	1	yes	characteristic
51	C₂×#88139	C₂²	1	1	yes	characteristic
52	C₂×#88139	C₂²	1	1	yes	characteristic
53	C₂×#88138	C₂²	1	1	yes	characteristic
54	C₂×#88136	C₂²	1	1	yes	characteristic
55	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
56	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
57	C₂×#88133	C₂²	1	1	yes	characteristic
58	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
59	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
60	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
61	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
62	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#388	C₂²	1	1	yes	characteristic
65	C₁₃×#388	C₂²	1	1	yes	characteristic
66	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#386	C₂²	1	1	yes	characteristic
69	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#381	C₂²	1	1	yes	characteristic, complemented
71	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
72	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
73	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
74	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
75	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
76	#11718882	C₂²	1	1	yes	characteristic
77	#11718881	C₂²	1	1	yes	characteristic
78	#11718874	C₂²	1	1	yes	characteristic
79	#11718874	C₂²	1	1	yes	characteristic, complemented
80	#11718873	C₂²	1	1	yes	characteristic, complemented
81	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
82	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
83	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
84	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
85	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
86	#11718651	C₂²	1	1	yes	characteristic
87	#11718651	C₂²	1	1	yes	characteristic
88	#11718650	C₂²	1	1	yes	characteristic
89	#11718650	C₂²	1	1	yes	characteristic
90	#11718650	C₂²	1	1	yes	characteristic, complemented
91	#11718648	C₂²	1	1	yes	characteristic
92	#11718648	C₂²	1	1	yes	characteristic, complemented
93	#11718646	C₂²	1	1	yes	characteristic, complemented
94	#11718642	C₂²	1	1	yes	characteristic, complemented
95	#11718642	C₂²	1	1	yes	characteristic, complemented
96	#11718639	C₂²	1	1	yes	characteristic, complemented
97	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
98	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
99	#11718635	C₂²	1	1	yes	characteristic, complemented
100	#11718634	C₂²	1	1	yes	characteristic, complemented
101	#11718619	C₂²	1	1	yes	characteristic
102	#11718618	C₂²	1	1	yes	characteristic
103	#11718618	C₂²	1	1	yes	characteristic
104	#11718618	C₂²	1	1	yes	characteristic, complemented
105	#11718617	C₂²	1	1	yes	characteristic
106	#11718617	C₂²	1	1	yes	characteristic
107	#11718617	C₂²	1	1	yes	characteristic
108	#11718617	C₂²	1	1	yes	characteristic
109	#11718617	C₂²	1	1	yes	characteristic, complemented
110	#11718616	C₂²	1	1	yes	characteristic
111	#11718616	C₂²	1	1	yes	characteristic
112	#11718612	C₂²	1	1	yes	characteristic
113	#11718612	C₂²	1	1	yes	characteristic
114	#11718612	C₂²	1	1	yes	characteristic, complemented
115	#11718612	C₂²	1	1	yes	characteristic, complemented
116	#11718611	C₂²	1	1	yes	characteristic
117	#11718607	C₂²	1	1	yes	characteristic
118	#11718606	C₂²	1	1	yes	characteristic
119	#11718605	C₂²	1	1	yes	characteristic
120	#11718605	C₂²	1	1	yes	characteristic
121	#11718605	C₂²	1	1	yes	characteristic
122	#11718605	C₂²	1	1	yes	characteristic, complemented
123	#11718605	C₂²	1	1	yes	characteristic, complemented
124	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
125	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
126	#11718601	C₂²	1	1	yes	characteristic
127	#11718601	C₂²	1	1	yes	characteristic, complemented
128	#11718600	C₂²	1	1	yes	characteristic
129	C₄×#6103	C₂²	1	1	yes	characteristic
130	C₄×#6103	C₂²	1	1	yes	characteristic
131	C₄×#6103	C₂²	1	1	yes	characteristic
132	C₄×#6103	C₂²	1	1	yes	characteristic
133	C₄×#6103	C₂²	1	1	yes	characteristic
134	C₄×#6103	C₂²	1	1	yes	characteristic
135	C₄×#6103	C₂²	1	1	yes	characteristic
136	C₄×#6103	C₂²	1	1	yes	characteristic
137	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
138	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
139	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
140	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
141	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
142	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
143	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
144	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
145	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
146	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
147	#11718589	C₂²	1	1	yes	characteristic, complemented
148	#11718331	C₂²	1	1	yes	characteristic
149	#11718331	C₂²	1	1	yes	characteristic
150	#11718331	C₂²	1	1	yes	characteristic, complemented
151	#11718330	C₂²	1	1	yes	characteristic
152	#11718330	C₂²	1	1	yes	characteristic
153	#11718330	C₂²	1	1	yes	characteristic
154	#11718330	C₂²	1	1	yes	characteristic, complemented
155	#11718330	C₂²	1	1	yes	characteristic, complemented
156	#11718329	C₂²	1	1	yes	characteristic
157	#11718329	C₂²	1	1	yes	characteristic
158	#11718329	C₂²	1	1	yes	characteristic
159	#11718329	C₂²	1	1	yes	characteristic
160	#11718328	C₂²	1	1	yes	characteristic
161	#11718327	C₂²	1	1	yes	characteristic
162	#11718327	C₂²	1	1	yes	characteristic
163	#11718327	C₂²	1	1	yes	characteristic
164	#11718327	C₂²	1	1	yes	characteristic
165	#11718327	C₂²	1	1	yes	characteristic, complemented
166	#11718327	C₂²	1	1	yes	characteristic, complemented
167	#11718326	C₂²	1	1	yes	characteristic
168	#11718326	C₂²	1	1	yes	characteristic
169	#11718326	C₂²	1	1	yes	characteristic
170	#11718326	C₂²	1	1	yes	characteristic
171	#11718325	C₂²	1	1	yes	characteristic, complemented
172	D₁₃×#95	C₂²	1	1	yes	characteristic
173	D₁₃×#95	C₂²	1	1	yes	characteristic
174	#11718316	C₂²	1	1	yes	characteristic, complemented
175	#11718316	C₂²	1	1	yes	characteristic, complemented
176	#11718315	C₂²	1	1	yes	characteristic, complemented
177	#11718314	C₂²	1	1	yes	characteristic, complemented
178	#11718314	C₂²	1	1	yes	characteristic, complemented
179	#11718314	C₂²	1	1	yes	characteristic, complemented
180	#11718313	C₂²	1	1	yes	characteristic, complemented
181	#11718312	C₂²	1	1	yes	characteristic, complemented
182	#11718312	C₂²	1	1	yes	characteristic, complemented
183	#11718311	C₂²	1	1	yes	characteristic, complemented
184	#11718311	C₂²	1	1	yes	characteristic, complemented
185	#11718308	C₂²	1	1	yes	characteristic, complemented
186	#11718307	C₂²	1	1	yes	characteristic, complemented
187	#11718307	C₂²	1	1	yes	characteristic, complemented
188	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
189	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
196	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
197	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
198	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
199	C₂²×D₅₂	C₂³	1	1	yes	characteristic
200	C₂²×D₅₂	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₁₃	—	2	4	no	—
202	C₂²×C₄×D₁₃	—	4	2	no	—
203	C₂²×C₄×D₁₃	—	4	2	no	—
204	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
215	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
216	C₁₃×#123	C₂×C₄	1	8	yes	complemented
217	C₄×D₄×C₁₃	—	4	2	no	—
218	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₁₃	—	4	2	no	—
232	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
249	#88192	C₂×C₄	1	8	yes	complemented
250	#88191	C₂×C₄	1	8	yes	complemented
251	#88184	C₂×C₄	1	8	yes	complemented
252	C₄×C₂²⋊D₁₃	—	2	4	no	—
253	C₄×C₂²⋊D₁₃	—	2	4	no	—
254	C₄×C₂²⋊D₁₃	—	4	2	no	—
255	C₄×C₂²⋊D₁₃	—	4	2	no	—
256	C₄×C₂²⋊D₁₃	—	4	2	no	—
257	C₄×C₂²⋊D₁₃	C₂×C₄	1	8	yes	complemented
258	C₂×#6103	C₂³	1	1	yes	characteristic
259	C₂×#6103	C₂³	1	1	yes	characteristic
260	C₂×#6103	C₂³	1	1	yes	characteristic
261	C₂×#6103	C₂³	1	1	yes	characteristic
262	C₂×#6103	C₂³	1	1	yes	characteristic
263	C₂×#6103	C₂³	1	1	yes	characteristic
264	C₂×#6103	C₂³	1	1	yes	characteristic
265	C₂×#6103	C₂³	1	1	yes	characteristic
266	C₂×#6103	C₂³	1	1	yes	characteristic
267	C₂×#6103	C₂³	1	1	yes	characteristic
268	C₂×#6103	C₂³	1	1	yes	characteristic
269	C₂×#6103	C₂³	1	1	yes	characteristic
270	C₂×#6103	C₂³	1	1	yes	characteristic
271	C₂×#6103	C₂³	1	1	yes	characteristic
272	C₂×#6103	C₂³	1	1	yes	characteristic
273	C₂×#6103	C₂³	1	1	yes	characteristic
274	C₂×#6103	C₂³	1	1	yes	characteristic
275	C₂×#6103	C₂³	1	1	yes	characteristic
276	C₂×#6103	C₂³	1	1	yes	characteristic
277	C₂×#6103	C₂³	1	1	yes	characteristic
278	C₂×#6103	C₂³	1	1	yes	characteristic
279	C₂×#6103	C₂³	1	1	yes	characteristic
280	C₂×#6103	C₂³	1	1	yes	characteristic
281	C₂×#6103	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
289	C₂×#6101	C₂³	1	1	yes	characteristic
290	C₂×#6101	C₂³	1	1	yes	characteristic
291	C₂×#6101	C₂³	1	1	yes	characteristic
292	C₂×#6101	C₂³	1	1	yes	characteristic
293	C₂×#6101	C₂³	1	1	yes	characteristic
294	C₂×#6101	C₂³	1	1	yes	characteristic
295	C₂×#6101	C₂³	1	1	yes	characteristic
296	C₂×#6101	C₂³	1	1	yes	characteristic
297	C₂×#6101	C₂³	1	1	yes	characteristic
298	C₂×#6101	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
317	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
318	#88152	C₂×C₄	1	8	yes	complemented
319	#88151	C₂×C₄	1	8	yes	complemented
320	#88148	C₂×C₄	1	8	yes	complemented
321	#88147	—	2	4	no	—
322	#88147	C₂×C₄	1	8	yes	complemented
323	#88139	C₂×C₄	1	8	yes	complemented
324	#88139	C₂×C₄	1	8	yes	complemented
325	#88138	C₂×C₄	1	8	yes	complemented
326	#88136	C₂×C₄	1	8	yes	complemented
327	C₂²⋊C₄×D₁₃	—	2	4	no	—
328	C₂²⋊C₄×D₁₃	C₂×C₄	1	8	yes	complemented
329	#88133	C₂×C₄	1	8	yes	complemented
330	C₄×D₅₂	—	2	4	no	—
331	C₄×D₅₂	—	4	2	no	—
332	C₄²×D₁₃	—	4	2	no	—
333	C₄²×D₁₃	—	4	2	no	—
334	C₄²×D₁₃	—	4	2	no	—
335	C₄×Dic₂₆	—	4	2	no	—
336	C₁₃×#95	C₂³	1	1	yes	characteristic
337	C₁₃×#95	C₂³	1	1	yes	characteristic
338	C₁₃×#95	C₂³	1	1	yes	characteristic
339	C₁₃×#95	C₂³	1	1	yes	characteristic
340	C₁₃×#95	C₂³	1	1	yes	characteristic
341	C₁₃×#95	C₂³	1	1	yes	characteristic
342	C₁₃×#95	C₂³	1	1	yes	characteristic
343	C₁₃×#95	C₂³	1	1	yes	characteristic
344	C₁₃×#95	C₂³	1	1	yes	characteristic
345	C₁₃×#95	C₂³	1	1	yes	characteristic
346	#88071	C₂³	1	1	yes	characteristic
347	#88071	C₂³	1	1	yes	characteristic
348	#88071	C₂³	1	1	yes	characteristic
349	#88071	C₂³	1	1	yes	characteristic
350	#88071	C₂³	1	1	yes	characteristic
351	#88071	C₂³	1	1	yes	characteristic
352	#88071	C₂³	1	1	yes	characteristic
353	#88071	C₂³	1	1	yes	characteristic
354	#88071	C₂³	1	1	yes	characteristic
355	#88071	C₂³	1	1	yes	characteristic
356	#88071	C₂³	1	1	yes	characteristic
357	#88071	C₂³	1	1	yes	characteristic
358	#88071	C₂³	1	1	yes	characteristic
359	#88071	C₂³	1	1	yes	characteristic
360	#88071	C₂³	1	1	yes	characteristic
361	#88071	C₂³	1	1	yes	characteristic
362	#88071	C₂³	1	1	yes	characteristic
363	#88071	C₂³	1	1	yes	characteristic
364	#88071	C₂³	1	1	yes	characteristic
365	#88071	C₂³	1	1	yes	characteristic
366	#88071	C₂³	1	1	yes	characteristic
367	#88071	C₂³	1	1	yes	characteristic
368	#88071	C₂³	1	1	yes	characteristic
369	#88071	C₂³	1	1	yes	characteristic
370	#88071	C₂³	1	1	yes	characteristic
371	#88071	C₂³	1	1	yes	characteristic
372	#88071	C₂³	1	1	yes	characteristic
373	#88071	C₂³	1	1	yes	characteristic
374	#88071	C₂³	1	1	yes	characteristic
375	#88071	C₂³	1	1	yes	characteristic
376	C₄×#538	—	13	1	no	maximal, Sylow
377	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂³×D₁₃	—	2	2	no	—
380	C₂³×D₁₃	—	2	2	no	—
381	C₂³×D₁₃	—	4	1	no	—
382	C₂³×D₁₃	—	4	1	no	—
383	C₂³×D₁₃	—	4	1	no	—
384	C₂³×D₁₃	—	4	1	no	—
385	C₂³×D₁₃	C₂²×C₄	1	4	yes	—
386	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
387	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
388	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
389	C₂×D₄×C₁₃	—	4	1	no	—
390	C₂×D₄×C₁₃	—	4	1	no	—
391	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
392	C₂²×C₄×C₁₃	—	2	2	no	—
393	C₂²×C₄×C₁₃	—	2	2	no	—
394	C₂²×C₄×C₁₃	—	2	2	no	—
395	C₂²×C₄×C₁₃	—	2	2	no	—
396	C₂²×C₄×C₁₃	—	2	2	no	—
397	C₂²×C₄×C₁₃	—	2	2	no	—
398	C₂²×C₄×C₁₃	—	2	2	no	—
399	C₂²×C₄×C₁₃	—	4	1	no	—
400	C₂²×C₄×C₁₃	—	4	1	no	—
401	C₂²×C₄×C₁₃	—	4	1	no	—
402	C₂²×C₄×C₁₃	—	4	1	no	—
403	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	complemented
404	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
417	C₂×C₂²⋊D₁₃	—	2	2	no	—
418	C₂×C₂²⋊D₁₃	—	2	2	no	—
419	C₂×C₂²⋊D₁₃	—	4	1	no	—
420	C₂×C₂²⋊D₁₃	—	4	1	no	—
421	C₂×C₂²⋊D₁₃	—	4	1	no	—
422	C₂×C₂²⋊D₁₃	—	4	1	no	—
423	C₂×C₂²⋊D₁₃	—	4	1	no	—
424	C₂×C₂²⋊D₁₃	—	4	1	no	—
425	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
426	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
427	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
428	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	complemented
429	C₂²×Dic₁₃	—	2	2	no	—
430	C₂²×Dic₁₃	—	4	1	no	—
431	C₂²×Dic₁₃	—	4	1	no	—
432	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
445	C₂×D₅₂	—	2	2	no	—
446	C₂×D₅₂	—	2	2	no	—
447	C₂×D₅₂	—	4	1	no	—
448	C₂×D₅₂	—	4	1	no	—
449	C₂×D₅₂	C₂²×C₄	1	4	yes	—
450	C₂×D₅₂	C₂²×C₄	1	4	yes	—
451	C₂×C₄×D₁₃	—	2	2	no	—
452	C₂×C₄×D₁₃	—	2	2	no	—
453	C₂×C₄×D₁₃	—	2	2	no	—
454	C₂×C₄×D₁₃	—	2	2	no	—
455	C₂×C₄×D₁₃	—	2	2	no	—
456	C₂×C₄×D₁₃	—	2	2	no	—
457	C₂×C₄×D₁₃	—	2	2	no	—
458	C₂×C₄×D₁₃	—	2	2	no	—
459	C₂×C₄×D₁₃	—	2	2	no	—
460	C₂×C₄×D₁₃	—	2	2	no	—
461	C₂×C₄×D₁₃	—	2	2	no	—
462	C₂×C₄×D₁₃	—	2	2	no	—
463	C₂×C₄×D₁₃	—	4	16	no	—
464	C₂×C₄×D₁₃	—	4	1	no	—
465	C₂×C₄×D₁₃	—	4	1	no	—
466	C₂×C₄×D₁₃	—	4	1	no	—
467	C₂×C₄×D₁₃	—	4	1	no	—
468	C₂×C₄×D₁₃	—	4	1	no	—
469	C₂×C₄×D₁₃	—	4	1	no	—
470	C₂×C₄×D₁₃	—	4	1	no	—
471	C₂×C₄×D₁₃	—	4	1	no	—
472	C₂×C₄×D₁₃	—	4	1	no	—
473	C₂×C₄×D₁₃	—	4	1	no	—
474	C₂×C₄×D₁₃	—	4	1	no	—
475	C₂×C₄×D₁₃	—	4	1	no	—
476	C₂×C₄×D₁₃	—	4	1	no	—
477	C₂×C₄×D₁₃	—	4	1	no	—
478	C₂×C₄×D₁₃	—	4	1	no	—
479	C₂×C₄×D₁₃	—	4	1	no	—
480	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
481	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
482	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	complemented
483	C₂×C₄×D₁₃	#41	1	4	yes	—
484	C₂×C₄×D₁₃	#41	1	4	yes	—
485	C₂×Dic₂₆	—	4	1	no	—
486	C₂×Dic₂₆	—	4	1	no	—
487	C₂×Dic₂₆	C₂²×C₄	1	4	yes	complemented
488	C₁₃×C₄⋊C₄	—	2	2	no	—
489	C₁₃×C₄⋊C₄	—	4	1	no	—
490	C₁₃×C₄⋊C₄	—	4	1	no	—
491	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
492	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
493	C₁₃×C₂²⋊C₄	—	2	2	no	—
494	C₁₃×C₂²⋊C₄	—	4	1	no	—
495	C₁₃×C₂²⋊C₄	—	4	1	no	—
496	C₁₃×C₂²⋊C₄	—	4	1	no	—
497	C₁₃×C₂²⋊C₄	—	4	1	no	—
498	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
499	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
500	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	complemented
501	C₄²×C₁₃	—	2	2	no	—
502	C₄²×C₁₃	—	2	2	no	—
503	C₄²×C₁₃	—	2	2	no	—
504	C₄²×C₁₃	—	2	2	no	—
505	C₄²×C₁₃	—	2	2	no	—
506	C₄²×C₁₃	—	4	1	no	—
507	C₄²×C₁₃	—	4	1	no	—
508	C₂²⋊Dic₁₃	—	2	2	no	—
509	C₂²⋊Dic₁₃	—	2	2	no	—
510	C₂²⋊Dic₁₃	—	2	2	no	—
511	C₂²⋊Dic₁₃	—	4	1	no	—
512	C₂²⋊Dic₁₃	—	4	1	no	—
513	C₂²⋊Dic₁₃	—	4	1	no	—
514	C₂²⋊Dic₁₃	—	4	1	no	—
515	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
516	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
517	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	complemented
518	#6103	—	2	2	no	—
519	#6103	—	2	2	no	—
520	#6103	—	2	2	no	—
521	#6103	—	2	2	no	—
522	#6103	—	2	2	no	—
523	#6103	—	2	2	no	—
524	#6103	—	2	2	no	—
525	#6103	—	2	2	no	—
526	#6103	—	4	1	no	—
527	#6103	—	4	1	no	—
528	#6103	—	4	1	no	—
529	#6103	—	4	1	no	—
530	#6103	—	4	1	no	—
531	#6103	—	4	1	no	—
532	#6103	—	4	1	no	—
533	#6103	—	4	1	no	—
534	#6103	C₂²×C₄	1	4	yes	—
535	#6103	C₂²×C₄	1	4	yes	—
536	#6103	C₂²×C₄	1	4	yes	—
537	#6103	C₂²×C₄	1	4	yes	—
538	#6103	C₂²×C₄	1	4	yes	—
539	#6103	C₂²×C₄	1	4	yes	—
540	#6103	C₂²×C₄	1	4	yes	complemented
541	#6103	C₂²×C₄	1	4	yes	complemented
542	C₄⋊Dic₁₃	—	2	2	no	—
543	C₄⋊Dic₁₃	—	4	1	no	—
544	C₄⋊Dic₁₃	—	4	1	no	—
545	C₄⋊Dic₁₃	—	4	1	no	—
546	C₄⋊Dic₁₃	—	4	1	no	—
547	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	complemented
548	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	complemented
549	#6101	—	2	2	no	—
550	#6101	—	2	2	no	—
551	#6101	—	4	1	no	—
552	#6101	—	4	1	no	—
553	#6101	—	4	1	no	—
554	#6101	—	4	1	no	—
555	#6101	—	4	1	no	—
556	#6101	—	4	1	no	—
557	#6101	C₂²×C₄	1	4	yes	complemented
558	#6101	C₂²×C₄	1	4	yes	complemented
559	C₄×Dic₁₃	—	2	2	no	—
560	C₄×Dic₁₃	—	2	2	no	—
561	C₄×Dic₁₃	—	2	2	no	—
562	C₄×Dic₁₃	—	2	2	no	—
563	C₄×Dic₁₃	—	2	2	no	—
564	C₄×Dic₁₃	—	2	2	no	—
565	C₄×Dic₁₃	—	2	2	no	—
566	C₄×Dic₁₃	—	4	1	no	—
567	C₄×Dic₁₃	—	4	1	no	—
568	C₄×Dic₁₃	—	4	1	no	—
569	C₄×Dic₁₃	—	4	1	no	—
570	C₄×Dic₁₃	—	4	1	no	—
571	C₄×Dic₁₃	—	4	1	no	—
572	C₄×Dic₁₃	—	4	1	no	—
573	C₄×Dic₁₃	—	4	1	no	—
574	C₄×Dic₁₃	—	4	1	no	—
575	C₄×Dic₁₃	—	4	1	no	—
576	C₄×Dic₁₃	C₂²×C₄	1	4	yes	complemented
577	C₄×Dic₁₃	C₂²×C₄	1	4	yes	complemented
578	C₂×#538	—	13	1	no	—
579	#2337	—	13	1	no	—
580	#2337	—	13	1	no	—
581	#2335	—	13	1	no	—
582	#2335	—	13	1	no	—
583	#2334	—	13	1	no	—
584	#2334	—	13	1	no	—
585	#2333	—	13	1	no	—
586	#2333	—	13	1	no	—
587	#2329	—	13	1	no	—
588	#2325	—	13	1	no	—
589	#2321	—	13	1	no	—
590	#2321	—	13	1	no	—
591	#2318	—	13	1	no	—
592	#2318	—	13	1	no	—
593	#2312	—	13	1	no	—
594	C₄×#126	—	13	1	no	—
595	C₄×#126	—	13	1	no	—
596	C₄×#124	—	13	1	no	—
597	C₄×#124	—	13	1	no	—
598	C₄×C₂²⋊Q₈	—	13	1	no	—
599	C₄×#123	—	13	1	no	—
600	C₄×#123	D₁₃	1	1	yes	characteristic, complemented
601	C₄×#121	—	13	1	no	—
602	C₄×#121	—	13	1	no	—
603	C₄×#121	—	13	1	no	—
604	C₄×#120	—	13	1	no	—
605	C₄×#120	—	13	1	no	—
606	C₄²×D₄	—	13	1	no	—
607	C₄²×D₄	—	13	1	no	—
608	C₂×C₄×C₂²⋊C₄	—	13	1	no	—
609	C₂³×C₁₃	—	2	1	no	—
610	C₂³×C₁₃	—	2	1	no	—
611	C₂³×C₁₃	—	2	1	no	—
612	C₂³×C₁₃	—	2	1	no	—
613	C₂³×C₁₃	—	2	1	no	—
614	C₂³×C₁₃	—	2	1	no	—
615	C₂³×C₁₃	—	2	1	no	—
616	C₂³×C₁₃	—	2	1	no	—
617	C₂³×C₁₃	—	2	1	no	—
618	C₂³×C₁₃	—	2	1	no	—
619	C₂³×C₁₃	—	2	1	no	—
620	C₂³×C₁₃	—	2	1	no	—
621	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
622	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
623	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
624	C₂²×D₁₃	—	2	1	no	—
625	C₂²×D₁₃	—	2	1	no	—
626	C₂²×D₁₃	—	2	1	no	—
627	C₂²×D₁₃	—	2	1	no	—
628	C₂²×D₁₃	—	2	1	no	—
629	C₂²×D₁₃	—	2	1	no	—
630	C₂²×D₁₃	—	2	1	no	—
631	C₂²×D₁₃	—	2	1	no	—
632	C₂²×D₁₃	—	2	1	no	—
633	C₂²×D₁₃	—	2	1	no	—
634	C₂²×D₁₃	—	2	1	no	—
635	C₂²×D₁₃	—	2	1	no	—
636	C₂²×D₁₃	—	2	1	no	—
637	C₂²×D₁₃	—	2	1	no	—
638	C₂²×D₁₃	—	2	1	no	—
639	C₂²×D₁₃	—	2	1	no	—
640	C₂²×D₁₃	—	2	8	no	—
641	C₂²×D₁₃	—	4	4	no	—
642	C₂²×D₁₃	—	4	4	no	—
643	C₂²×D₁₃	—	4	4	no	—
644	C₂²×D₁₃	—	4	4	no	—
645	C₂²×D₁₃	—	4	4	no	—
646	C₂²×D₁₃	—	4	4	no	—
647	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
648	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
649	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
650	C₂²×D₁₃	C₂×#41	1	2	yes	—
651	C₂²×D₁₃	C₂×#41	1	2	yes	—
652	D₄×C₁₃	—	4	4	no	—
653	C₂×C₄×C₁₃	—	2	1	no	—
654	C₂×C₄×C₁₃	—	2	1	no	—
655	C₂×C₄×C₁₃	—	2	1	no	—
656	C₂×C₄×C₁₃	—	2	1	no	—
657	C₂×C₄×C₁₃	—	2	1	no	—
658	C₂×C₄×C₁₃	—	2	1	no	—
659	C₂×C₄×C₁₃	—	2	1	no	—
660	C₂×C₄×C₁₃	—	2	1	no	—
661	C₂×C₄×C₁₃	—	2	1	no	—
662	C₂×C₄×C₁₃	—	2	1	no	—
663	C₂×C₄×C₁₃	—	2	1	no	—
664	C₂×C₄×C₁₃	—	2	1	no	—
665	C₂×C₄×C₁₃	—	2	1	no	—
666	C₂×C₄×C₁₃	—	2	1	no	—
667	C₂×C₄×C₁₃	—	2	1	no	—
668	C₂×C₄×C₁₃	—	2	1	no	—
669	C₂×C₄×C₁₃	—	2	1	no	—
670	C₂×C₄×C₁₃	—	2	1	no	—
671	C₂×C₄×C₁₃	—	2	1	no	—
672	C₂×C₄×C₁₃	—	2	1	no	—
673	C₂×C₄×C₁₃	—	2	1	no	—
674	C₂×C₄×C₁₃	—	2	1	no	—
675	C₂×C₄×C₁₃	—	2	1	no	—
676	C₂×C₄×C₁₃	—	2	1	no	—
677	C₂×C₄×C₁₃	—	2	1	no	—
678	C₂×C₄×C₁₃	—	2	1	no	—
679	C₂×C₄×C₁₃	—	2	1	no	—
680	C₂×C₄×C₁₃	—	2	1	no	—
681	C₂×C₄×C₁₃	—	2	1	no	—
682	C₂×C₄×C₁₃	—	2	1	no	—
683	C₂×C₄×C₁₃	—	4	4	no	—
684	C₂×C₄×C₁₃	—	4	4	no	—
685	C₂×C₄×C₁₃	—	4	4	no	—
686	C₂×C₄×C₁₃	—	4	4	no	—
687	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
688	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
689	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
690	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
691	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
692	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
693	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
694	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
695	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
696	C₂²⋊D₁₃	—	2	8	no	—
697	C₂²⋊D₁₃	—	4	4	no	—
698	C₂²⋊D₁₃	—	4	4	no	—
699	C₂²⋊D₁₃	—	4	4	no	—
700	C₂×Dic₁₃	—	2	1	no	—
701	C₂×Dic₁₃	—	2	1	no	—
702	C₂×Dic₁₃	—	2	1	no	—
703	C₂×Dic₁₃	—	2	1	no	—
704	C₂×Dic₁₃	—	2	1	no	—
705	C₂×Dic₁₃	—	2	1	no	—
706	C₂×Dic₁₃	—	2	1	no	—
707	C₂×Dic₁₃	—	2	1	no	—
708	C₂×Dic₁₃	—	2	1	no	—
709	C₂×Dic₁₃	—	2	1	no	—
710	C₂×Dic₁₃	—	2	1	no	—
711	C₂×Dic₁₃	—	2	1	no	—
712	C₂×Dic₁₃	—	2	1	no	—
713	C₂×Dic₁₃	—	2	1	no	—
714	C₂×Dic₁₃	—	2	1	no	—
715	C₂×Dic₁₃	—	2	1	no	—
716	C₂×Dic₁₃	—	2	1	no	—
717	C₂×Dic₁₃	—	2	1	no	—
718	C₂×Dic₁₃	—	2	1	no	—
719	C₂×Dic₁₃	—	2	1	no	—
720	C₂×Dic₁₃	—	2	1	no	—
721	C₂×Dic₁₃	—	2	1	no	—
722	C₂×Dic₁₃	—	2	1	no	—
723	C₂×Dic₁₃	—	2	1	no	—
724	C₂×Dic₁₃	—	2	1	no	—
725	C₂×Dic₁₃	—	2	1	no	—
726	C₂×Dic₁₃	—	2	1	no	—
727	C₂×Dic₁₃	—	2	1	no	—
728	C₂×Dic₁₃	—	2	1	no	—
729	C₂×Dic₁₃	—	2	1	no	—
730	C₂×Dic₁₃	—	2	1	no	—
731	C₂×Dic₁₃	—	2	1	no	—
732	C₂×Dic₁₃	—	4	4	no	—
733	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
734	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
735	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
736	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
737	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
738	C₂×Dic₁₃	C₂×#41	1	2	yes	—
739	C₂×Dic₁₃	C₂×#41	1	2	yes	—
740	D₅₂	—	2	8	no	—
741	D₅₂	—	4	4	no	—
742	C₄×D₁₃	—	2	8	no	—
743	C₄×D₁₃	—	4	4	no	—
744	C₄×D₁₃	—	4	4	no	—
745	C₄×D₁₃	—	4	4	no	—
746	C₄×D₁₃	—	4	4	no	—
747	C₄×D₁₃	—	4	4	no	—
748	C₄×D₁₃	—	4	4	no	—
749	C₄×D₁₃	—	4	4	no	—
750	C₄×D₁₃	—	4	4	no	—
751	C₄×D₁₃	—	4	4	no	—
752	C₄×D₁₃	—	4	4	no	—
753	Dic₂₆	—	4	4	no	—
754	C₂⁴×C₄	—	13	1	no	—
755	#538	—	13	16	no	—
756	C₂×#126	—	13	1	no	—
757	C₂×#126	—	13	1	no	—
758	C₂×#124	—	13	1	no	—
759	C₂×#124	—	13	1	no	—
760	C₂×#123	—	13	1	no	—
761	C₂×#123	C₂×D₁₃	1	1	yes	characteristic
762	C₂×C₂²⋊Q₈	—	13	1	no	—
763	C₂×#121	—	13	1	no	—
764	C₂×#121	—	13	1	no	—
765	C₂×#121	—	13	1	no	—
766	C₂×#120	—	13	1	no	—
767	C₂×#120	—	13	1	no	—
768	C₂×C₄×Q₈	—	13	1	no	—
769	C₂×C₄×D₄	—	13	1	no	—
770	C₂×C₄×D₄	—	13	1	no	—
771	C₂×C₄×D₄	—	13	1	no	—
772	C₂×C₄×D₄	—	13	1	no	—
773	C₂×C₄×D₄	—	13	1	no	—
774	C₂×C₄×D₄	—	13	1	no	—
775	C₂×C₄×D₄	—	13	1	no	—
776	C₂×C₄×D₄	—	13	1	no	—
777	C₂×C₄×D₄	—	13	1	no	—
778	C₂×C₄×D₄	—	13	1	no	—
779	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
780	C₂²×C₂²⋊C₄	—	13	1	no	—
781	C₂²×C₂²⋊C₄	—	13	1	no	—
782	C₂²×C₄²	—	13	1	no	—
783	C₂²×C₄²	—	13	1	no	—
784	C₂²×C₄²	—	13	1	no	—
785	C₂²×C₄²	C₂×D₁₃	1	1	yes	characteristic, complemented
786	#391	—	13	1	no	—
787	#391	—	13	1	no	—
788	#391	—	13	1	no	—
789	#390	—	13	1	no	—
790	#390	—	13	1	no	—
791	#390	—	13	1	no	—
792	#390	—	13	1	no	—
793	#390	—	13	1	no	—
794	#389	—	13	1	no	—
795	#389	—	13	1	no	—
796	#389	—	13	1	no	—
797	#389	—	13	1	no	—
798	#388	—	13	1	no	—
799	#388	—	13	1	no	—
800	#388	—	13	1	no	—
801	#388	—	13	1	no	—
802	#388	—	13	1	no	—
803	#388	—	13	1	no	—
804	#388	—	13	1	no	—
805	#388	—	13	1	no	—
806	#388	—	13	1	no	—
807	#388	—	13	1	no	—
808	#388	—	13	1	no	—
809	#388	—	13	1	no	—
810	#388	—	13	1	no	—
811	#388	—	13	1	no	—
812	#388	—	13	1	no	—
813	#388	—	13	1	no	—
814	#388	—	13	1	no	—
815	#388	—	13	1	no	—
816	#388	—	13	1	no	—
817	#388	—	13	1	no	—
818	#388	—	13	1	no	—
819	#388	—	13	1	no	—
820	#388	C₂×D₁₃	1	1	yes	characteristic
821	#388	C₂×D₁₃	1	1	yes	characteristic
822	#387	—	13	1	no	—
823	#387	—	13	1	no	—
824	#387	—	13	1	no	—
825	#387	—	13	1	no	—
826	#387	—	13	1	no	—
827	#387	—	13	1	no	—
828	#387	—	13	1	no	—
829	#387	—	13	1	no	—
830	#387	—	13	1	no	—
831	#387	—	13	1	no	—
832	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
833	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
834	#386	—	13	1	no	—
835	#386	—	13	1	no	—
836	#386	—	13	1	no	—
837	#386	—	13	1	no	—
838	#386	—	13	1	no	—
839	#386	—	13	1	no	—
840	#386	—	13	1	no	—
841	#386	—	13	1	no	—
842	#386	—	13	1	no	—
843	#386	—	13	1	no	—
844	#386	—	13	1	no	—
845	#386	—	13	1	no	—
846	#386	—	13	1	no	—
847	#386	C₂×D₁₃	1	1	yes	characteristic
848	#385	—	13	1	no	—
849	#385	—	13	1	no	—
850	#385	—	13	1	no	—
851	#385	—	13	1	no	—
852	#385	—	13	1	no	—
853	#385	—	13	1	no	—
854	#385	—	13	1	no	—
855	#385	—	13	1	no	—
856	#385	—	13	1	no	—
857	#385	C₂×D₁₃	1	1	yes	characteristic, complemented
858	#383	—	13	1	no	—
859	#383	—	13	1	no	—
860	#382	—	13	1	no	—
861	#382	—	13	1	no	—
862	#381	—	13	1	no	—
863	#381	C₂×D₁₃	1	1	yes	characteristic, complemented
864	#380	—	13	1	no	—
865	#380	—	13	1	no	—
866	#380	—	13	1	no	—
867	#380	—	13	1	no	—
868	#379	—	13	1	no	—
869	#379	—	13	1	no	—
870	C₄×C₄⋊C₄	—	13	1	no	—
871	C₄×C₄⋊C₄	—	13	1	no	—
872	C₄×C₄⋊C₄	—	13	1	no	—
873	C₄×C₄⋊C₄	—	13	1	no	—
874	C₄×C₄⋊C₄	—	13	1	no	—
875	C₄×C₄⋊C₄	—	13	1	no	—
876	C₄×C₄⋊C₄	—	13	1	no	—
877	C₄×C₄⋊C₄	—	13	1	no	—
878	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
879	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
880	C₄×C₂²⋊C₄	—	13	1	no	—
881	C₄×C₂²⋊C₄	—	13	1	no	—
882	C₄×C₂²⋊C₄	—	13	1	no	—
883	C₄×C₂²⋊C₄	—	13	1	no	—
884	C₄×C₂²⋊C₄	—	13	1	no	—
885	C₄×C₂²⋊C₄	—	13	1	no	—
886	C₄×C₂²⋊C₄	—	13	1	no	—
887	C₄×C₂²⋊C₄	—	13	1	no	—
888	C₄×C₂²⋊C₄	—	13	1	no	—
889	C₄×C₂²⋊C₄	—	13	1	no	—
890	C₄×C₂²⋊C₄	—	13	1	no	—
891	C₄×C₂²⋊C₄	—	13	1	no	—
892	C₄×C₂²⋊C₄	—	13	1	no	—
893	C₄×C₂²⋊C₄	—	13	1	no	—
894	C₄×C₂²⋊C₄	—	13	1	no	—
895	C₄×C₂²⋊C₄	—	13	1	no	—
896	C₄×C₂²⋊C₄	—	13	1	no	—
897	C₄×C₂²⋊C₄	—	13	1	no	—
898	C₄×C₂²⋊C₄	—	13	1	no	—
899	C₄×C₂²⋊C₄	—	13	1	no	—
900	C₄×C₂²⋊C₄	—	13	1	no	—
901	C₄×C₂²⋊C₄	—	13	1	no	—
902	C₄×C₂²⋊C₄	—	13	1	no	—
903	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
904	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
905	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
906	C₂×#95	—	13	1	no	—
907	C₂×#95	—	13	1	no	—
908	C₄³	—	13	1	no	—
909	C₄³	—	13	1	no	—
910	C₂²×C₁₃	—	2	2	no	—
911	C₂²×C₁₃	—	2	2	no	—
912	C₂²×C₁₃	—	2	2	no	—
913	C₂²×C₁₃	—	2	2	no	—
914	C₂²×C₁₃	—	2	2	no	—
915	C₂²×C₁₃	—	2	2	no	—
916	C₂²×C₁₃	—	4	1	no	—
917	C₂²×C₁₃	—	4	1	no	—
918	C₂²×C₁₃	—	4	1	no	—
919	C₂²×C₁₃	—	4	1	no	—
920	C₂²×C₁₃	—	4	1	no	—
921	C₂²×C₁₃	—	4	1	no	—
922	C₂²×C₁₃	—	4	1	no	—
923	C₂²×C₁₃	—	4	1	no	—
924	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
925	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
926	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
927	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
928	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
929	C₂²×C₁₃	#585	1	1	yes	characteristic
930	C₂²×C₁₃	#585	1	1	yes	characteristic
931	C₂×D₁₃	—	2	2	no	—
932	C₂×D₁₃	—	2	2	no	—
933	C₂×D₁₃	—	2	2	no	—
934	C₂×D₁₃	—	2	2	no	—
935	C₂×D₁₃	—	2	2	no	—
936	C₂×D₁₃	—	2	2	no	—
937	C₂×D₁₃	—	2	2	no	—
938	C₂×D₁₃	—	2	2	no	—
939	C₂×D₁₃	—	2	2	no	—
940	C₂×D₁₃	—	2	2	no	—
941	C₂×D₁₃	—	2	2	no	—
942	C₂×D₁₃	—	2	2	no	—
943	C₂×D₁₃	—	4	16	no	—
944	C₂×D₁₃	—	4	1	no	—
945	C₂×D₁₃	—	4	1	no	—
946	C₂×D₁₃	—	4	1	no	—
947	C₂×D₁₃	—	4	1	no	—
948	C₂×D₁₃	—	4	1	no	—
949	C₂×D₁₃	—	4	1	no	—
950	C₂×D₁₃	—	4	1	no	—
951	C₂×D₁₃	—	4	1	no	—
952	C₂×D₁₃	C₄×#41	1	4	yes	—
953	C₄×C₁₃	—	2	2	no	—
954	C₄×C₁₃	—	2	2	no	—
955	C₄×C₁₃	—	2	2	no	—
956	C₄×C₁₃	—	2	2	no	—
957	C₄×C₁₃	—	2	2	no	—
958	C₄×C₁₃	—	2	2	no	—
959	C₄×C₁₃	—	4	1	no	—
960	C₄×C₁₃	—	4	1	no	—
961	C₄×C₁₃	—	4	1	no	—
962	C₄×C₁₃	—	4	1	no	—
963	C₄×C₁₃	—	4	1	no	—
964	C₄×C₁₃	—	4	1	no	—
965	C₄×C₁₃	#538	1	4	yes	complemented
966	Dic₁₃	—	2	2	no	—
967	Dic₁₃	—	2	2	no	—
968	Dic₁₃	—	2	2	no	—
969	Dic₁₃	—	2	2	no	—
970	Dic₁₃	—	2	2	no	—
971	Dic₁₃	—	2	2	no	—
972	Dic₁₃	—	2	2	no	—
973	Dic₁₃	—	4	1	no	—
974	Dic₁₃	—	4	1	no	—
975	Dic₁₃	—	4	1	no	—
976	Dic₁₃	—	4	1	no	—
977	Dic₁₃	—	4	1	no	—
978	Dic₁₃	—	4	1	no	—
979	C₂⁵	—	13	1	no	—
980	C₂²×Q₈	—	13	1	no	—
981	C₂²×D₄	—	13	1	no	—
982	C₂²×D₄	—	13	1	no	—
983	C₂²×D₄	—	13	1	no	—
984	C₂²×D₄	—	13	1	no	—
985	C₂²×D₄	—	13	1	no	—
986	C₂²×D₄	—	13	1	no	—
987	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
988	C₂³×C₄	—	13	1	no	—
989	C₂³×C₄	—	13	1	no	—
990	C₂³×C₄	—	13	1	no	—
991	C₂³×C₄	—	13	1	no	—
992	C₂³×C₄	—	13	1	no	—
993	C₂³×C₄	—	13	1	no	—
994	C₂³×C₄	—	13	1	no	—
995	C₂³×C₄	—	13	1	no	—
996	C₂³×C₄	—	13	1	no	—
997	C₂³×C₄	—	13	1	no	—
998	C₂³×C₄	—	13	1	no	—
999	C₂³×C₄	—	13	1	no	—
1000	C₂³×C₄	—	26	4	no	—
1001	C₂³×C₄	—	52	2	no	—
1002	C₂³×C₄	—	52	2	no	—
1003	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1004	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1005	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1006	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1007	#126	—	13	8	no	—
1008	#126	—	13	8	no	—
1009	#124	—	13	8	no	—
1010	#124	—	13	8	no	—
1011	#123	—	13	8	no	—
1012	#123	C₄×D₁₃	1	8	yes	complemented
1013	C₂²⋊Q₈	—	13	8	no	—
1014	#121	—	13	8	no	—
1015	#121	—	13	8	no	—
1016	#121	—	13	8	no	—
1017	#120	—	13	8	no	—
1018	#120	—	13	8	no	—
1019	C₄×Q₈	—	52	2	no	—
1020	C₄×D₄	—	4	2	no	—
1021	C₄×D₄	—	13	8	no	—
1022	C₄×D₄	—	13	8	no	—
1023	C₄×D₄	—	26	4	no	—
1024	C₄×D₄	—	26	4	no	—
1025	C₄×D₄	—	26	4	no	—
1026	C₄×D₄	—	26	4	no	—
1027	C₄×D₄	—	52	2	no	—
1028	C₄×D₄	—	52	2	no	—
1029	C₄×D₄	—	52	2	no	—
1030	C₄×D₄	—	52	2	no	—
1031	C₂×C₄⋊C₄	—	13	1	no	—
1032	C₂×C₄⋊C₄	—	13	1	no	—
1033	C₂×C₄⋊C₄	—	13	1	no	—
1034	C₂×C₄⋊C₄	—	13	1	no	—
1035	C₂×C₄⋊C₄	—	13	1	no	—
1036	C₂×C₄⋊C₄	—	13	1	no	—
1037	C₂×C₄⋊C₄	—	13	1	no	—
1038	C₂×C₄⋊C₄	—	13	1	no	—
1039	C₂×C₄⋊C₄	—	13	1	no	—
1040	C₂×C₄⋊C₄	—	13	1	no	—
1041	C₂×C₄⋊C₄	—	13	1	no	—
1042	C₂×C₄⋊C₄	—	13	1	no	—
1043	C₂×C₄⋊C₄	—	13	1	no	—
1044	C₂×C₄⋊C₄	—	13	1	no	—
1045	C₂×C₄⋊C₄	—	13	1	no	—
1046	C₂×C₄⋊C₄	—	13	1	no	—
1047	C₂×C₄⋊C₄	—	13	1	no	—
1048	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1051	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1052	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	—	13	1	no	—
1054	C₂×C₂²⋊C₄	—	13	1	no	—
1055	C₂×C₂²⋊C₄	—	13	1	no	—
1056	C₂×C₂²⋊C₄	—	13	1	no	—
1057	C₂×C₂²⋊C₄	—	13	1	no	—
1058	C₂×C₂²⋊C₄	—	13	1	no	—
1059	C₂×C₂²⋊C₄	—	13	1	no	—
1060	C₂×C₂²⋊C₄	—	13	1	no	—
1061	C₂×C₂²⋊C₄	—	13	1	no	—
1062	C₂×C₂²⋊C₄	—	13	1	no	—
1063	C₂×C₂²⋊C₄	—	13	1	no	—
1064	C₂×C₂²⋊C₄	—	13	8	no	—
1065	C₂×C₂²⋊C₄	—	13	1	no	—
1066	C₂×C₂²⋊C₄	—	13	1	no	—
1067	C₂×C₂²⋊C₄	—	13	1	no	—
1068	C₂×C₂²⋊C₄	—	13	1	no	—
1069	C₂×C₂²⋊C₄	—	13	1	no	—
1070	C₂×C₂²⋊C₄	—	13	1	no	—
1071	C₂×C₂²⋊C₄	—	13	1	no	—
1072	C₂×C₂²⋊C₄	—	13	1	no	—
1073	C₂×C₂²⋊C₄	—	13	1	no	—
1074	C₂×C₂²⋊C₄	—	13	1	no	—
1075	C₂×C₂²⋊C₄	—	13	1	no	—
1076	C₂×C₂²⋊C₄	—	13	1	no	—
1077	C₂×C₂²⋊C₄	—	13	1	no	—
1078	C₂×C₂²⋊C₄	—	13	1	no	—
1079	C₂×C₂²⋊C₄	—	13	1	no	—
1080	C₂×C₂²⋊C₄	—	13	1	no	—
1081	C₂×C₂²⋊C₄	—	13	1	no	—
1082	C₂×C₂²⋊C₄	—	13	1	no	—
1083	C₂×C₂²⋊C₄	—	13	1	no	—
1084	C₂×C₂²⋊C₄	—	13	1	no	—
1085	C₂×C₂²⋊C₄	—	13	1	no	—
1086	C₂×C₂²⋊C₄	—	13	1	no	—
1087	C₂×C₂²⋊C₄	—	13	1	no	—
1088	C₂×C₂²⋊C₄	—	26	4	no	—
1089	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1090	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1091	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1092	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1093	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1094	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1095	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1097	C₂×C₄²	—	4	2	no	—
1098	C₂×C₄²	—	13	1	no	—
1099	C₂×C₄²	—	13	1	no	—
1100	C₂×C₄²	—	13	1	no	—
1101	C₂×C₄²	—	13	1	no	—
1102	C₂×C₄²	—	13	1	no	—
1103	C₂×C₄²	—	13	1	no	—
1104	C₂×C₄²	—	13	1	no	—
1105	C₂×C₄²	—	13	1	no	—
1106	C₂×C₄²	—	13	1	no	—
1107	C₂×C₄²	—	13	1	no	—
1108	C₂×C₄²	—	13	1	no	—
1109	C₂×C₄²	—	13	1	no	—
1110	C₂×C₄²	—	13	1	no	—
1111	C₂×C₄²	—	13	1	no	—
1112	C₂×C₄²	—	13	1	no	—
1113	C₂×C₄²	—	13	1	no	—
1114	C₂×C₄²	—	13	1	no	—
1115	C₂×C₄²	—	13	1	no	—
1116	C₂×C₄²	—	13	1	no	—
1117	C₂×C₄²	—	52	2	no	—
1118	C₂×C₄²	—	52	2	no	—
1119	C₂×C₄²	—	52	2	no	—
1120	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1121	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1122	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1123	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1124	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1125	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1126	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1127	#95	—	13	1	no	—
1128	#95	—	13	1	no	—
1129	#95	—	13	1	no	—
1130	#95	—	13	1	no	—
1131	#95	—	13	1	no	—
1132	#95	—	13	1	no	—
1133	#95	—	13	1	no	—
1134	#95	—	13	1	no	—
1135	#95	—	13	1	no	—
1136	#95	—	13	1	no	—
1137	#95	—	13	1	no	—
1138	#95	—	13	1	no	—
1139	#95	—	13	1	no	—
1140	#95	—	13	1	no	—
1141	#95	—	13	1	no	—
1142	#95	—	13	1	no	—
1143	#95	—	13	1	no	—
1144	#95	—	13	1	no	—
1145	#95	—	13	1	no	—
1146	#95	—	13	1	no	—
1147	#95	—	13	1	no	—
1148	#95	—	13	1	no	—
1149	#95	—	13	1	no	—
1150	#95	—	13	1	no	—
1151	#95	—	13	1	no	—
1152	#95	—	13	1	no	—
1153	#95	—	13	1	no	—
1154	#95	—	13	1	no	—
1155	#95	—	13	1	no	—
1156	#95	—	13	1	no	—
1157	#95	C₂²×D₁₃	1	1	yes	characteristic
1158	#95	C₂²×D₁₃	1	1	yes	characteristic
1159	#95	C₂²×D₁₃	1	1	yes	characteristic
1160	#95	C₂²×D₁₃	1	1	yes	characteristic
1161	#95	C₂²×D₁₃	1	1	yes	characteristic
1162	#95	C₂²×D₁₃	1	1	yes	characteristic
1163	#95	C₂²×D₁₃	1	1	yes	characteristic
1164	#95	C₂²×D₁₃	1	1	yes	characteristic
1165	#95	C₂²×D₁₃	1	1	yes	characteristic
1166	#95	C₂²×D₁₃	1	1	yes	characteristic
1167	C₂×C₁₃	—	4	2	no	—
1168	C₂×C₁₃	—	4	2	no	—
1169	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
1170	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1171	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1172	C₂×C₁₃	C₂×#538	1	1	yes	characteristic
1173	C₂×C₁₃	#3455	1	1	yes	characteristic
1174	C₂×C₁₃	#3459	1	1	yes	characteristic
1175	C₂×C₁₃	#3460	1	1	yes	characteristic
1176	D₁₃	—	2	4	no	—
1177	D₁₃	—	4	2	no	—
1178	D₁₃	—	4	2	no	—
1179	C₂⁴	—	13	1	no	—
1180	C₂⁴	—	13	1	no	—
1181	C₂⁴	—	13	1	no	—
1182	C₂⁴	—	13	4	no	—
1183	C₂⁴	—	26	2	no	—
1184	C₂⁴	—	26	2	no	—
1185	C₂⁴	—	52	1	no	—
1186	C₂⁴	—	52	1	no	—
1187	C₂⁴	—	52	1	no	—
1188	C₂⁴	—	52	1	no	—
1189	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1190	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1191	C₂×Q₈	—	13	4	no	—
1192	C₂×Q₈	—	52	1	no	—
1193	C₂×Q₈	—	52	1	no	—
1194	C₂×D₄	—	4	1	no	—
1195	C₂×D₄	—	4	1	no	—
1196	C₂×D₄	—	13	4	no	—
1197	C₂×D₄	—	13	4	no	—
1198	C₂×D₄	—	13	4	no	—
1199	C₂×D₄	—	13	4	no	—
1200	C₂×D₄	—	13	4	no	—
1201	C₂×D₄	—	13	4	no	—
1202	C₂×D₄	—	26	2	no	—
1203	C₂×D₄	—	26	2	no	—
1204	C₂×D₄	—	26	2	no	—
1205	C₂×D₄	—	26	2	no	—
1206	C₂×D₄	—	52	1	no	—
1207	C₂×D₄	—	52	1	no	—
1208	C₂×D₄	—	52	1	no	—
1209	C₂×D₄	—	52	1	no	—
1210	C₂×D₄	—	52	1	no	—
1211	C₂×D₄	—	52	1	no	—
1212	C₂×D₄	—	52	1	no	—
1213	C₂×D₄	—	52	1	no	—
1214	C₂×D₄	C₂×C₄×D₁₃	1	4	yes	—
1215	C₂²×C₄	—	2	2	no	—
1216	C₂²×C₄	—	2	2	no	—
1217	C₂²×C₄	—	2	2	no	—
1218	C₂²×C₄	—	2	2	no	—
1219	C₂²×C₄	—	2	2	no	—
1220	C₂²×C₄	—	2	2	no	—
1221	C₂²×C₄	—	2	2	no	—
1222	C₂²×C₄	—	4	1	no	—
1223	C₂²×C₄	—	4	1	no	—
1224	C₂²×C₄	—	4	1	no	—
1225	C₂²×C₄	—	4	1	no	—
1226	C₂²×C₄	—	13	1	no	—
1227	C₂²×C₄	—	13	1	no	—
1228	C₂²×C₄	—	13	1	no	—
1229	C₂²×C₄	—	13	1	no	—
1230	C₂²×C₄	—	13	1	no	—
1231	C₂²×C₄	—	13	1	no	—
1232	C₂²×C₄	—	13	1	no	—
1233	C₂²×C₄	—	13	4	no	—
1234	C₂²×C₄	—	13	4	no	—
1235	C₂²×C₄	—	13	4	no	—
1236	C₂²×C₄	—	13	4	no	—
1237	C₂²×C₄	—	13	4	no	—
1238	C₂²×C₄	—	13	1	no	—
1239	C₂²×C₄	—	13	1	no	—
1240	C₂²×C₄	—	13	1	no	—
1241	C₂²×C₄	—	13	1	no	—
1242	C₂²×C₄	—	13	1	no	—
1243	C₂²×C₄	—	13	1	no	—
1244	C₂²×C₄	—	26	2	no	—
1245	C₂²×C₄	—	26	2	no	—
1246	C₂²×C₄	—	26	2	no	—
1247	C₂²×C₄	—	26	2	no	—
1248	C₂²×C₄	—	26	2	no	—
1249	C₂²×C₄	—	26	2	no	—
1250	C₂²×C₄	—	26	2	no	—
1251	C₂²×C₄	—	26	2	no	—
1252	C₂²×C₄	—	26	2	no	—
1253	C₂²×C₄	—	26	2	no	—
1254	C₂²×C₄	—	26	2	no	—
1255	C₂²×C₄	—	26	2	no	—
1256	C₂²×C₄	—	26	2	no	—
1257	C₂²×C₄	—	52	1	no	—
1258	C₂²×C₄	—	52	1	no	—
1259	C₂²×C₄	—	52	1	no	—
1260	C₂²×C₄	—	52	1	no	—
1261	C₂²×C₄	—	52	1	no	—
1262	C₂²×C₄	—	52	1	no	—
1263	C₂²×C₄	—	52	1	no	—
1264	C₂²×C₄	—	52	1	no	—
1265	C₂²×C₄	—	52	1	no	—
1266	C₂²×C₄	—	52	1	no	—
1267	C₂²×C₄	—	52	1	no	—
1268	C₂²×C₄	—	52	1	no	—
1269	C₂²×C₄	—	52	1	no	—
1270	C₂²×C₄	—	52	1	no	—
1271	C₂²×C₄	—	52	1	no	—
1272	C₂²×C₄	—	52	1	no	—
1273	C₂²×C₄	—	52	16	no	—
1274	C₂²×C₄	—	52	1	no	—
1275	C₂²×C₄	—	52	1	no	—
1276	C₂²×C₄	C₂×C₄×D₁₃	1	4	yes	complemented
1277	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1278	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1279	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1280	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1281	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1282	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1283	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1284	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1285	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1286	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1287	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1288	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1289	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1290	C₄⋊C₄	—	2	2	no	—
1291	C₄⋊C₄	—	4	1	no	—
1292	C₄⋊C₄	—	4	1	no	—
1293	C₄⋊C₄	—	13	4	no	—
1294	C₄⋊C₄	—	13	4	no	—
1295	C₄⋊C₄	—	13	4	no	—
1296	C₄⋊C₄	—	13	4	no	—
1297	C₄⋊C₄	—	26	2	no	—
1298	C₄⋊C₄	—	26	2	no	—
1299	C₄⋊C₄	—	26	2	no	—
1300	C₄⋊C₄	—	52	1	no	—
1301	C₄⋊C₄	—	52	1	no	—
1302	C₄⋊C₄	—	52	1	no	—
1303	C₄⋊C₄	—	52	1	no	—
1304	C₄⋊C₄	—	52	1	no	—
1305	C₄⋊C₄	—	52	1	no	—
1306	C₄⋊C₄	—	52	1	no	—
1307	C₄⋊C₄	—	52	1	no	—
1308	C₄⋊C₄	—	52	1	no	—
1309	C₄⋊C₄	—	52	1	no	—
1310	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	complemented
1311	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	complemented
1312	C₂²⋊C₄	—	2	2	no	—
1313	C₂²⋊C₄	—	4	1	no	—
1314	C₂²⋊C₄	—	4	1	no	—
1315	C₂²⋊C₄	—	4	1	no	—
1316	C₂²⋊C₄	—	4	1	no	—
1317	C₂²⋊C₄	—	13	4	no	—
1318	C₂²⋊C₄	—	13	4	no	—
1319	C₂²⋊C₄	—	13	4	no	—
1320	C₂²⋊C₄	—	13	4	no	—
1321	C₂²⋊C₄	—	13	4	no	—
1322	C₂²⋊C₄	—	13	4	no	—
1323	C₂²⋊C₄	—	13	4	no	—
1324	C₂²⋊C₄	—	13	4	no	—
1325	C₂²⋊C₄	—	13	4	no	—
1326	C₂²⋊C₄	—	13	4	no	—
1327	C₂²⋊C₄	—	13	4	no	—
1328	C₂²⋊C₄	—	26	2	no	—
1329	C₂²⋊C₄	—	26	2	no	—
1330	C₂²⋊C₄	—	26	2	no	—
1331	C₂²⋊C₄	—	26	2	no	—
1332	C₂²⋊C₄	—	26	2	no	—
1333	C₂²⋊C₄	—	26	2	no	—
1334	C₂²⋊C₄	—	26	2	no	—
1335	C₂²⋊C₄	—	26	2	no	—
1336	C₂²⋊C₄	—	26	2	no	—
1337	C₂²⋊C₄	—	26	2	no	—
1338	C₂²⋊C₄	—	26	2	no	—
1339	C₂²⋊C₄	—	52	1	no	—
1340	C₂²⋊C₄	—	52	1	no	—
1341	C₂²⋊C₄	—	52	1	no	—
1342	C₂²⋊C₄	—	52	1	no	—
1343	C₂²⋊C₄	—	52	1	no	—
1344	C₂²⋊C₄	—	52	1	no	—
1345	C₂²⋊C₄	—	52	1	no	—
1346	C₂²⋊C₄	—	52	1	no	—
1347	C₂²⋊C₄	—	52	1	no	—
1348	C₂²⋊C₄	—	52	1	no	—
1349	C₂²⋊C₄	—	52	1	no	—
1350	C₂²⋊C₄	—	52	1	no	—
1351	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1352	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1353	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	complemented
1354	C₄²	—	2	2	no	—
1355	C₄²	—	2	2	no	—
1356	C₄²	—	2	2	no	—
1357	C₄²	—	2	2	no	—
1358	C₄²	—	2	2	no	—
1359	C₄²	—	4	1	no	—
1360	C₄²	—	4	1	no	—
1361	C₄²	—	13	4	no	—
1362	C₄²	—	13	4	no	—
1363	C₄²	—	26	2	no	—
1364	C₄²	—	26	2	no	—
1365	C₄²	—	26	2	no	—
1366	C₄²	—	26	2	no	—
1367	C₄²	—	26	2	no	—
1368	C₄²	—	26	2	no	—
1369	C₄²	—	26	2	no	—
1370	C₄²	—	52	1	no	—
1371	C₄²	—	52	1	no	—
1372	C₄²	—	52	1	no	—
1373	C₄²	—	52	1	no	—
1374	C₄²	—	52	1	no	—
1375	C₄²	—	52	1	no	—
1376	C₄²	—	52	1	no	—
1377	C₄²	—	52	1	no	—
1378	C₄²	—	52	1	no	—
1379	C₄²	—	52	1	no	—
1380	C₁₃	C₄×#538	1	1	yes	characteristic, complemented, Sylow
1381	C₂³	—	2	1	no	—
1382	C₂³	—	2	1	no	—
1383	C₂³	—	2	1	no	—
1384	C₂³	—	2	1	no	—
1385	C₂³	—	2	1	no	—
1386	C₂³	—	2	1	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	2	1	no	—
1390	C₂³	—	2	1	no	—
1391	C₂³	—	2	1	no	—
1392	C₂³	—	2	1	no	—
1393	C₂³	—	13	2	no	—
1394	C₂³	—	13	2	no	—
1395	C₂³	—	13	2	no	—
1396	C₂³	—	13	2	no	—
1397	C₂³	—	13	2	no	—
1398	C₂³	—	26	8	no	—
1399	C₂³	—	26	1	no	—
1400	C₂³	—	26	1	no	—
1401	C₂³	—	26	1	no	—
1402	C₂³	—	26	1	no	—
1403	C₂³	—	26	1	no	—
1404	C₂³	—	26	1	no	—
1405	C₂³	—	26	1	no	—
1406	C₂³	—	26	1	no	—
1407	C₂³	—	26	1	no	—
1408	C₂³	—	26	1	no	—
1409	C₂³	—	26	1	no	—
1410	C₂³	—	26	1	no	—
1411	C₂³	—	26	1	no	—
1412	C₂³	—	26	1	no	—
1413	C₂³	—	26	1	no	—
1414	C₂³	—	26	1	no	—
1415	C₂³	—	52	4	no	—
1416	C₂³	—	52	4	no	—
1417	C₂³	—	52	4	no	—
1418	C₂³	—	52	4	no	—
1419	C₂³	—	52	4	no	—
1420	C₂³	—	52	4	no	—
1421	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1422	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1423	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1424	Q₈	—	52	4	no	—
1425	D₄	—	4	4	no	—
1426	D₄	—	26	8	no	—
1427	D₄	—	26	8	no	—
1428	D₄	—	52	4	no	—
1429	D₄	—	52	4	no	—
1430	D₄	—	52	4	no	—
1431	D₄	—	52	4	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	4	4	no	—
1463	C₂×C₄	—	4	4	no	—
1464	C₂×C₄	—	4	4	no	—
1465	C₂×C₄	—	4	4	no	—
1466	C₂×C₄	—	13	2	no	—
1467	C₂×C₄	—	13	2	no	—
1468	C₂×C₄	—	13	2	no	—
1469	C₂×C₄	—	13	2	no	—
1470	C₂×C₄	—	13	2	no	—
1471	C₂×C₄	—	13	2	no	—
1472	C₂×C₄	—	13	2	no	—
1473	C₂×C₄	—	26	1	no	—
1474	C₂×C₄	—	26	1	no	—
1475	C₂×C₄	—	26	1	no	—
1476	C₂×C₄	—	26	1	no	—
1477	C₂×C₄	—	26	1	no	—
1478	C₂×C₄	—	26	1	no	—
1479	C₂×C₄	—	26	1	no	—
1480	C₂×C₄	—	26	1	no	—
1481	C₂×C₄	—	26	1	no	—
1482	C₂×C₄	—	26	1	no	—
1483	C₂×C₄	—	26	1	no	—
1484	C₂×C₄	—	26	1	no	—
1485	C₂×C₄	—	26	1	no	—
1486	C₂×C₄	—	26	1	no	—
1487	C₂×C₄	—	26	8	no	—
1488	C₂×C₄	—	26	1	no	—
1489	C₂×C₄	—	26	1	no	—
1490	C₂×C₄	—	26	1	no	—
1491	C₂×C₄	—	26	1	no	—
1492	C₂×C₄	—	26	1	no	—
1493	C₂×C₄	—	26	1	no	—
1494	C₂×C₄	—	26	1	no	—
1495	C₂×C₄	—	26	1	no	—
1496	C₂×C₄	—	26	1	no	—
1497	C₂×C₄	—	26	1	no	—
1498	C₂×C₄	—	26	1	no	—
1499	C₂×C₄	—	26	1	no	—
1500	C₂×C₄	—	26	1	no	—
1501	C₂×C₄	—	26	1	no	—
1502	C₂×C₄	—	26	1	no	—
1503	C₂×C₄	—	26	1	no	—
1504	C₂×C₄	—	26	1	no	—
1505	C₂×C₄	—	26	1	no	—
1506	C₂×C₄	—	52	4	no	—
1507	C₂×C₄	—	52	4	no	—
1508	C₂×C₄	—	52	4	no	—
1509	C₂×C₄	—	52	4	no	—
1510	C₂×C₄	—	52	4	no	—
1511	C₂×C₄	—	52	4	no	—
1512	C₂×C₄	—	52	4	no	—
1513	C₂×C₄	—	52	4	no	—
1514	C₂×C₄	—	52	4	no	—
1515	C₂×C₄	—	52	4	no	—
1516	C₂×C₄	—	52	4	no	—
1517	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1518	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1519	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1520	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1521	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1522	C₂×C₄	#88251	1	2	yes	—
1523	C₂×C₄	#41×D₁₃	1	2	yes	—
1524	C₂×C₄	#41×D₁₃	1	2	yes	—
1525	C₂×C₄	#88256	1	2	yes	—
1526	C₂²	—	2	2	no	—
1527	C₂²	—	2	2	no	—
1528	C₂²	—	2	2	no	—
1529	C₂²	—	2	2	no	—
1530	C₂²	—	2	2	no	—
1531	C₂²	—	2	2	no	—
1532	C₂²	—	4	1	no	—
1533	C₂²	—	4	1	no	—
1534	C₂²	—	4	1	no	—
1535	C₂²	—	4	1	no	—
1536	C₂²	—	4	1	no	—
1537	C₂²	—	4	1	no	—
1538	C₂²	—	4	1	no	—
1539	C₂²	—	4	1	no	—
1540	C₂²	—	13	4	no	—
1541	C₂²	—	26	2	no	—
1542	C₂²	—	26	2	no	—
1543	C₂²	—	26	2	no	—
1544	C₂²	—	26	2	no	—
1545	C₂²	—	26	2	no	—
1546	C₂²	—	26	2	no	—
1547	C₂²	—	26	2	no	—
1548	C₂²	—	26	2	no	—
1549	C₂²	—	26	2	no	—
1550	C₂²	—	26	2	no	—
1551	C₂²	—	26	2	no	—
1552	C₂²	—	26	2	no	—
1553	C₂²	—	52	16	no	—
1554	C₂²	—	52	1	no	—
1555	C₂²	—	52	1	no	—
1556	C₂²	—	52	1	no	—
1557	C₂²	—	52	1	no	—
1558	C₂²	—	52	1	no	—
1559	C₂²	—	52	1	no	—
1560	C₂²	—	52	1	no	—
1561	C₂²	—	52	1	no	—
1562	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1563	C₂²	C₂×#88251	1	1	yes	characteristic
1564	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1565	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1566	C₂²	C₂×#88256	1	1	yes	characteristic
1567	C₂²	#11719648	1	1	yes	characteristic
1568	C₂²	#11719648	1	1	yes	characteristic
1569	C₄	—	2	2	no	—
1570	C₄	—	2	2	no	—
1571	C₄	—	2	2	no	—
1572	C₄	—	2	2	no	—
1573	C₄	—	2	2	no	—
1574	C₄	—	2	2	no	—
1575	C₄	—	4	1	no	—
1576	C₄	—	4	1	no	—
1577	C₄	—	4	1	no	—
1578	C₄	—	4	1	no	—
1579	C₄	—	4	1	no	—
1580	C₄	—	4	1	no	—
1581	C₄	—	26	2	no	—
1582	C₄	—	26	2	no	—
1583	C₄	—	26	2	no	—
1584	C₄	—	26	2	no	—
1585	C₄	—	26	2	no	—
1586	C₄	—	26	2	no	—
1587	C₄	—	26	2	no	—
1588	C₄	—	52	1	no	—
1589	C₄	—	52	1	no	—
1590	C₄	—	52	1	no	—
1591	C₄	—	52	1	no	—
1592	C₄	—	52	1	no	—
1593	C₄	—	52	1	no	—
1594	C₄	#11719362	1	4	yes	direct product factor
1595	C₂	—	4	2	no	—
1596	C₂	—	4	2	no	—
1597	C₂	—	26	4	no	—
1598	C₂	—	52	2	no	—
1599	C₂	—	52	2	no	—
1600	C₂	C₄×#41×D₁₃	1	1	yes	characteristic
1601	C₂	C₄×#88251	1	1	yes	characteristic
1602	C₂	C₄×#88256	1	1	yes	characteristic
1603	C₂	C₂×#11719362	1	1	yes	characteristic
1604	C₂	#13128219	1	1	yes	characteristic
1605	C₂	#13128243	1	1	yes	characteristic
1606	C₂	#13128257	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₁₃
commutator	C₂²×C₁₃	C₂⁴×C₄
Frattini	C₂³	C₂⁴×D₁₃
Fitting	C₄×C₁₃×#123	C₂
socle, cosocle	C₂³×C₁₃	C₂⁵
prime radical	C₂×#11719362	C₂
hypercenter	C₄×#123	D₁₃
hypocenter	C₁₃	C₄×#538
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×#123

Complements

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

N	H ≅ G/N	type
2. #13117650	C₂	semidirect
3. #13117647	C₂	semidirect
4. #13117630	C₂	semidirect
5. #13117625	C₂	semidirect
6. #13117617	C₂	semidirect
7. #13117608	C₂	semidirect
8. #13117598	C₂	semidirect
9. #13117597	C₂	semidirect
10. #13117565	C₂	semidirect
11. #13117533	C₂	semidirect
12. #13117492	C₂	semidirect
13. #13117489	C₂	semidirect
14. #13117468	C₂	semidirect
15. #13117465	C₂	semidirect
16. #13117430	C₂	semidirect
17. C₄×#88152	C₂	semidirect
18. C₄×#88133	C₂	semidirect
19. C₄×#88139	C₂	semidirect
20. C₄×#88139	C₂	semidirect
21. C₄×#88151	C₂	semidirect
22. C₄×#88148	C₂	semidirect
23. C₄×#88184	C₂	semidirect
24. C₄×#88138	C₂	semidirect
25. C₄×#88192	C₂	semidirect
26. C₄×#88136	C₂	semidirect
27. C₄×#88191	C₂	semidirect
28. C₄²×C₂²⋊D₁₃	C₂	semidirect
29. C₄×#88147	C₂	semidirect
30. C₄×C₂²⋊C₄×D₁₃	C₂	semidirect
31. C₄×C₁₃×#123	C₂	semidirect
35. C₂²×C₄²×C₁₃	C₂²	semidirect
44. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
45. #11719362	C₄	direct (N × H)
62. C₂×C₄²×D₁₃	C₂²	semidirect
63. C₂×C₄×Dic₂₆	C₂²	semidirect
66. C₁₃×#387	C₂²	semidirect
67. C₁₃×#387	C₂²	semidirect
69. C₁₃×#385	C₂²	semidirect
70. C₁₃×#381	C₂²	semidirect
71. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
72. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
75. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
79. #11718874	C₂²	semidirect
80. #11718873	C₂²	semidirect
83. C₄×C₂²⋊Dic₁₃	C₂²	semidirect
84. C₄×C₂²⋊Dic₁₃	C₂²	semidirect
85. C₄×C₂²⋊Dic₁₃	C₂²	semidirect
90. #11718650	C₂²	semidirect
92. #11718648	C₂²	semidirect
93. #11718646	C₂²	semidirect
94. #11718642	C₂²	semidirect
95. #11718642	C₂²	semidirect
96. #11718639	C₂²	semidirect
97. C₄⋊C₄×Dic₁₃	C₂²	semidirect
98. C₄⋊C₄×Dic₁₃	C₂²	semidirect
99. #11718635	C₂²	semidirect
100. #11718634	C₂²	semidirect
104. #11718618	C₂²	semidirect
109. #11718617	C₂²	semidirect
114. #11718612	C₂²	semidirect
115. #11718612	C₂²	semidirect
122. #11718605	C₂²	semidirect
123. #11718605	C₂²	semidirect
127. #11718601	C₂²	semidirect
137. C₄×#6103	C₂²	semidirect
138. C₄×#6103	C₂²	semidirect
139. C₄×C₄⋊Dic₁₃	C₂²	semidirect
140. C₄×C₄⋊Dic₁₃	C₂²	semidirect
141. C₄×#6101	C₂²	semidirect
142. C₄×#6101	C₂²	semidirect
143. C₄×#6101	C₂²	semidirect
144. C₄×#6101	C₂²	semidirect
145. C₄²×Dic₁₃	C₂²	semidirect
146. C₄²×Dic₁₃	C₂²	semidirect
147. #11718589	C₂²	semidirect
150. #11718331	C₂²	semidirect
154. #11718330	C₂²	semidirect
155. #11718330	C₂²	semidirect
165. #11718327	C₂²	semidirect
166. #11718327	C₂²	semidirect
171. #11718325	C₂²	semidirect
174. #11718316	C₂²	semidirect
175. #11718316	C₂²	semidirect
176. #11718315	C₂²	semidirect
177. #11718314	C₂²	semidirect
178. #11718314	C₂²	semidirect
179. #11718314	C₂²	semidirect
180. #11718313	C₂²	semidirect
181. #11718312	C₂²	semidirect
182. #11718312	C₂²	semidirect
183. #11718311	C₂²	semidirect
184. #11718311	C₂²	semidirect
185. #11718308	C₂²	semidirect
186. #11718307	C₂²	semidirect
187. #11718307	C₂²	semidirect
216. C₁₃×#123	C₂×C₄	semidirect
249. #88192	C₂×C₄	semidirect
250. #88191	C₂×C₄	semidirect
251. #88184	C₂×C₄	semidirect
257. C₄×C₂²⋊D₁₃	C₂×C₄	semidirect
318. #88152	C₂×C₄	semidirect
319. #88151	C₂×C₄	semidirect
320. #88148	C₂×C₄	semidirect
322. #88147	C₂×C₄	semidirect
323. #88139	C₂×C₄	semidirect
324. #88139	C₂×C₄	semidirect
325. #88138	C₂×C₄	semidirect
326. #88136	C₂×C₄	semidirect
328. C₂²⋊C₄×D₁₃	C₂×C₄	semidirect
329. #88133	C₂×C₄	semidirect
403. C₂²×C₄×C₁₃	C₂²×C₄	semidirect
428. C₂×C₂²⋊D₁₃	C₂²×C₄	semidirect
482. C₂×C₄×D₁₃	C₂²×C₄	semidirect
487. C₂×Dic₂₆	C₂²×C₄	semidirect
491. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
492. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
500. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
517. C₂²⋊Dic₁₃	C₂²×C₄	semidirect
540. #6103	C₂²×C₄	semidirect
541. #6103	C₂²×C₄	semidirect
547. C₄⋊Dic₁₃	C₂²×C₄	semidirect
548. C₄⋊Dic₁₃	C₂²×C₄	semidirect
557. #6101	C₂²×C₄	semidirect
558. #6101	C₂²×C₄	semidirect
576. C₄×Dic₁₃	C₂²×C₄	semidirect
577. C₄×Dic₁₃	C₂²×C₄	semidirect
600. C₄×#123	D₁₃	semidirect
785. C₂²×C₄²	C₂×D₁₃	semidirect
832. #387	C₂×D₁₃	semidirect
833. #387	C₂×D₁₃	semidirect
857. #385	C₂×D₁₃	semidirect
863. #381	C₂×D₁₃	semidirect
878. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
879. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
905. C₄×C₂²⋊C₄	C₂×D₁₃	semidirect
965. C₄×C₁₃	#538	semidirect
1012. #123	C₄×D₁₃	semidirect
1276. C₂²×C₄	C₂×C₄×D₁₃	semidirect
1310. C₄⋊C₄	C₂×C₄×D₁₃	semidirect
1311. C₄⋊C₄	C₂×C₄×D₁₃	semidirect
1353. C₂²⋊C₄	C₂×C₄×D₁₃	semidirect
1380. C₁₃	C₄×#538	semidirect
1594. C₄	#11719362	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#11719362	2
#13117650	2
#13117647	2
#13117630	2
#13117625	2
#13117617	2
#13117608	2
#13117598	2
#13117597	2
#13117565	2
#13117533	2
#13117492	2
#13117489	2
#13117468	2
#13117465	2
#13117430	2
C₄×#88152	2
C₄×#88133	2
C₄×#88139	2
C₄×#88151	2
C₄×#88148	2
C₄×#88184	2
C₄×#88138	2
C₄×#88192	2
C₄×#88136	2
C₄×#88191	2
C₄²×C₂²⋊D₁₃	2
C₄×#88147	2
C₄×C₂²⋊C₄×D₁₃	2
C₄×C₁₃×#123	2
C₄×#538	13

Subgroups — C4×#11719362 #16021988

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×#11719362 #16021988