Subgroups — #16744631

Order 3328.

1868 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128400	C₂	1	1	yes	maximal, characteristic, complemented
2	#13127911	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127790	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127663	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127657	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127405	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127351	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127345	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127052	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127046	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126992	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126986	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126932	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126926	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126443	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126362	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126357	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125443	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125436	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125400	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124907	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124901	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124883	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124879	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124854	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124848	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123803	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#88186	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#88203	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#88204	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#555	C₂²	1	1	yes	characteristic
34	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#553	—	2	1	no	—
36	C₁₃×#552	—	2	1	no	—
37	C₁₃×#552	C₂²	1	1	yes	characteristic
38	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#551	—	2	1	no	—
40	C₁₃×#551	—	2	1	no	—
41	C₁₃×#547	C₂²	1	1	yes	characteristic
42	C₁₃×#546	C₂²	1	1	yes	characteristic
43	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#529	—	2	1	no	—
46	C₁₃×#529	—	2	1	no	—
47	C₁₃×#529	C₂²	1	1	yes	characteristic
48	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#525	—	2	1	no	—
50	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
51	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
52	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₁₃×#117	—	2	1	no	—
55	#11719533	—	2	1	no	—
56	C₂×#88204	C₂²	1	1	yes	characteristic
57	C₂×#88203	C₂²	1	1	yes	characteristic
58	C₂×#88186	C₂²	1	1	yes	characteristic
59	#11719289	C₂²	1	1	yes	characteristic, complemented
60	#11719286	—	2	1	no	—
61	#11719284	C₂²	1	1	yes	characteristic, complemented
62	#11719268	C₂²	1	1	yes	characteristic
63	#11719263	—	2	1	no	—
64	#11719261	—	2	1	no	—
65	#11719261	—	2	1	no	—
66	#11719256	C₂²	1	1	yes	characteristic
67	#11719255	C₂²	1	1	yes	characteristic
68	#11719255	C₂²	1	1	yes	characteristic, complemented
69	#11719246	C₂²	1	1	yes	characteristic
70	#11719246	C₂²	1	1	yes	characteristic, complemented
71	#11719233	—	2	1	no	—
72	#11719233	—	2	1	no	—
73	D₁₃×#117	—	2	1	no	—
74	#11719184	C₂²	1	1	yes	characteristic
75	#11719184	C₂²	1	1	yes	characteristic, complemented
76	C₄×#6127	C₂²	1	1	yes	characteristic
77	C₄×#6127	C₂²	1	1	yes	characteristic, complemented
78	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
79	#11719175	C₂²	1	1	yes	characteristic, complemented
80	#11718900	C₂²	1	1	yes	characteristic
81	#11718900	C₂²	1	1	yes	characteristic
82	#11718900	C₂²	1	1	yes	characteristic, complemented
83	#11718899	C₂²	1	1	yes	characteristic
84	#11718894	C₂²	1	1	yes	characteristic, complemented
85	#11718893	C₂²	1	1	yes	characteristic
86	#11718879	C₂²	1	1	yes	characteristic, complemented
87	#11718878	C₂²	1	1	yes	characteristic
88	#11718876	C₂²	1	1	yes	characteristic, complemented
89	#11718755	C₂²	1	1	yes	characteristic, complemented
90	#11718751	C₂²	1	1	yes	characteristic, complemented
91	#11718750	C₂²	1	1	yes	characteristic, complemented
92	#11718748	C₂²	1	1	yes	characteristic, complemented
93	#11718747	C₂²	1	1	yes	characteristic, complemented
94	#11718744	C₂²	1	1	yes	characteristic, complemented
95	#11718743	C₂²	1	1	yes	characteristic, complemented
96	#11718741	C₂²	1	1	yes	characteristic, complemented
97	#11718730	C₂²	1	1	yes	characteristic, complemented
98	#11718729	C₂²	1	1	yes	characteristic, complemented
99	#11718727	C₂²	1	1	yes	characteristic, complemented
100	#11718727	C₂²	1	1	yes	characteristic, complemented
101	#11718727	C₂²	1	1	yes	characteristic, complemented
102	#11718726	C₂²	1	1	yes	characteristic, complemented
103	#11718725	C₂²	1	1	yes	characteristic, complemented
104	#11718724	C₂²	1	1	yes	characteristic, complemented
105	#11718721	C₂²	1	1	yes	characteristic, complemented
106	#11718720	C₂²	1	1	yes	characteristic
107	#11718718	C₂²	1	1	yes	characteristic
108	#11718718	C₂²	1	1	yes	characteristic
109	#11718718	C₂²	1	1	yes	characteristic
110	#11718717	C₂²	1	1	yes	characteristic, complemented
111	#11718716	C₂²	1	1	yes	characteristic, complemented
112	#11718715	C₂²	1	1	yes	characteristic, complemented
113	#11718713	C₂²	1	1	yes	characteristic, complemented
114	#11718713	C₂²	1	1	yes	characteristic, complemented
115	#11718713	C₂²	1	1	yes	characteristic, complemented
116	#11718713	C₂²	1	1	yes	characteristic, complemented
117	#11718712	C₂²	1	1	yes	characteristic, complemented
118	#11718710	C₂²	1	1	yes	characteristic
119	#11718710	C₂²	1	1	yes	characteristic
120	#11718709	C₂²	1	1	yes	characteristic, complemented
121	#11718708	C₂²	1	1	yes	characteristic
122	#11718708	C₂²	1	1	yes	characteristic
123	#11718708	C₂²	1	1	yes	characteristic, complemented
124	#11718707	C₂²	1	1	yes	characteristic, complemented
125	#11718706	C₂²	1	1	yes	characteristic, complemented
126	#11718706	C₂²	1	1	yes	characteristic, complemented
127	#11718706	C₂²	1	1	yes	characteristic, complemented
128	#11718705	C₂²	1	1	yes	characteristic, complemented
129	#11718703	C₂²	1	1	yes	characteristic
130	#11718703	C₂²	1	1	yes	characteristic
131	#11718702	C₂²	1	1	yes	characteristic, complemented
132	#11718699	C₂²	1	1	yes	characteristic
133	#11718698	C₂²	1	1	yes	characteristic
134	#11718697	C₂²	1	1	yes	characteristic
135	#11718696	C₂²	1	1	yes	characteristic, complemented
136	#11718695	C₂²	1	1	yes	characteristic
137	#11718692	C₂²	1	1	yes	characteristic, complemented
138	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
139	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
140	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
141	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
142	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
143	#11718689	C₂²	1	1	yes	characteristic, complemented
144	#11718687	C₂²	1	1	yes	characteristic, complemented
145	#11718687	C₂²	1	1	yes	characteristic, complemented
146	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
147	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
148	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
149	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
150	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
151	#11718685	C₂²	1	1	yes	characteristic, complemented
152	#11718685	C₂²	1	1	yes	characteristic, complemented
153	#11718683	C₂²	1	1	yes	characteristic, complemented
154	#11718681	C₂²	1	1	yes	characteristic, complemented
155	#11718680	C₂²	1	1	yes	characteristic, complemented
156	#11718679	C₂²	1	1	yes	characteristic, complemented
157	#11718679	C₂²	1	1	yes	characteristic, complemented
158	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
159	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
160	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
161	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
162	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
163	#11718677	C₂²	1	1	yes	characteristic
164	#11718677	C₂²	1	1	yes	characteristic
165	#11718677	C₂²	1	1	yes	characteristic
166	#11718675	C₂²	1	1	yes	characteristic
167	#11718675	C₂²	1	1	yes	characteristic
168	#11718675	C₂²	1	1	yes	characteristic
169	#11718675	C₂²	1	1	yes	characteristic
170	C₄×#6104	C₂²	1	1	yes	characteristic
171	C₄×#6104	C₂²	1	1	yes	characteristic
172	C₄×#6104	C₂²	1	1	yes	characteristic
173	C₄×#6104	C₂²	1	1	yes	characteristic
174	C₄×#6104	C₂²	1	1	yes	characteristic
175	#11718673	C₂²	1	1	yes	characteristic
176	#11718673	C₂²	1	1	yes	characteristic
177	#11718672	C₂²	1	1	yes	characteristic, complemented
178	#11718672	C₂²	1	1	yes	characteristic, complemented
179	#11718672	C₂²	1	1	yes	characteristic, complemented
180	#11718672	C₂²	1	1	yes	characteristic, complemented
181	#11718670	C₂²	1	1	yes	characteristic, complemented
182	#11718670	C₂²	1	1	yes	characteristic, complemented
183	#11718670	C₂²	1	1	yes	characteristic, complemented
184	#11718668	C₂²	1	1	yes	characteristic, complemented
185	#11718664	C₂²	1	1	yes	characteristic, complemented
186	#11718663	C₂²	1	1	yes	characteristic, complemented
187	#11718662	C₂²	1	1	yes	characteristic, complemented
188	#11718659	C₂²	1	1	yes	characteristic, complemented
189	#11718657	C₂²	1	1	yes	characteristic, complemented
190	#11718657	C₂²	1	1	yes	characteristic, complemented
191	#11718657	C₂²	1	1	yes	characteristic, complemented
192	#11718656	C₂²	1	1	yes	characteristic, complemented
193	#11718631	C₂²	1	1	yes	characteristic, complemented
194	#11718629	C₂²	1	1	yes	characteristic
195	#11718627	C₂²	1	1	yes	characteristic
196	#11718625	C₂²	1	1	yes	characteristic, complemented
197	#11718586	C₂²	1	1	yes	characteristic, complemented
198	#11718586	C₂²	1	1	yes	characteristic, complemented
199	#11718586	C₂²	1	1	yes	characteristic, complemented
200	C₄×#6099	C₂²	1	1	yes	characteristic, complemented
201	C₄×#6099	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×#1055	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₁₃	—	2	1	no	—
208	C₂×#6127	C₂³	1	1	yes	characteristic
209	C₂×#6127	C₂³	1	1	yes	characteristic
210	C₂²×D₅₂	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₁₃	—	2	1	no	—
212	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
214	C₁₃×#126	—	2	1	no	—
215	C₁₃×#126	—	2	1	no	—
216	C₁₃×#126	—	2	1	no	—
217	C₁₃×#126	—	2	1	no	—
218	C₁₃×#126	—	2	1	no	—
219	C₁₃×#126	—	2	1	no	—
220	C₁₃×#125	—	2	1	no	—
221	C₁₃×#125	—	2	1	no	—
222	C₁₃×#125	—	2	1	no	—
223	C₁₃×#125	C₂³	1	1	yes	characteristic
224	C₁₃×#125	C₂³	1	1	yes	characteristic
225	C₁₃×#124	—	2	1	no	—
226	C₁₃×#124	—	2	1	no	—
227	C₁₃×#124	C₂³	1	1	yes	characteristic
228	C₁₃×#124	C₂³	1	1	yes	characteristic
229	C₁₃×#123	—	2	1	no	—
230	C₁₃×#123	—	2	1	no	—
231	C₁₃×#123	—	2	1	no	—
232	C₁₃×#123	—	2	1	no	—
233	C₁₃×#123	—	2	1	no	—
234	C₁₃×#123	—	2	1	no	—
235	C₁₃×#123	—	2	1	no	—
236	C₁₃×#123	—	2	1	no	—
237	C₁₃×C₂²⋊Q₈	—	2	1	no	—
238	C₁₃×C₂²⋊Q₈	—	2	1	no	—
239	C₁₃×C₂²⋊Q₈	—	2	1	no	—
240	C₁₃×C₂²⋊Q₈	—	2	1	no	—
241	C₁₃×C₂²⋊Q₈	—	2	1	no	—
242	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
243	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
244	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
245	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
246	C₁₃×#121	—	2	1	no	—
247	C₁₃×#121	—	2	1	no	—
248	C₁₃×#121	—	2	1	no	—
249	C₁₃×#121	—	2	1	no	—
250	C₁₃×#121	C₂³	1	1	yes	characteristic
251	C₁₃×#121	C₂³	1	1	yes	characteristic
252	C₁₃×#120	—	2	1	no	—
253	C₁₃×#120	—	2	1	no	—
254	C₄×Q₈×C₁₃	—	2	1	no	—
255	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
256	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
257	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
258	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
259	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
260	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
261	C₄×D₄×C₁₃	—	2	1	no	—
262	C₄×D₄×C₁₃	—	2	1	no	—
263	C₄×D₄×C₁₃	—	2	1	no	—
264	C₄×D₄×C₁₃	—	2	1	no	—
265	C₄×D₄×C₁₃	—	2	1	no	—
266	C₄×D₄×C₁₃	—	2	1	no	—
267	C₄×D₄×C₁₃	—	2	1	no	—
268	C₄×D₄×C₁₃	—	2	1	no	—
269	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
270	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
271	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
272	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
273	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
274	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
275	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
276	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
277	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
278	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
279	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
280	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
281	C₁₃×#117	—	2	1	no	—
282	C₁₃×#117	—	2	1	no	—
283	C₁₃×#117	—	2	1	no	—
284	C₁₃×#117	—	2	1	no	—
285	C₁₃×#117	—	2	1	no	—
286	C₁₃×#117	—	2	1	no	—
287	C₁₃×#117	—	2	1	no	—
288	C₁₃×#117	—	2	1	no	—
289	C₁₃×#117	—	2	1	no	—
290	C₁₃×#117	D₄	1	1	yes	characteristic
291	C₁₃×#117	D₄	1	1	yes	characteristic
292	C₁₃×#117	D₄	1	1	yes	characteristic
293	C₁₃×#117	C₂³	1	1	yes	characteristic
294	C₁₃×#117	C₂³	1	1	yes	characteristic
295	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
296	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
297	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
299	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
300	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
301	C₂×C₄²×C₁₃	—	2	1	no	—
302	C₂×C₄²×C₁₃	—	2	1	no	—
303	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
306	#88204	—	2	4	no	—
307	#88203	—	2	4	no	—
308	#88200	—	2	1	no	—
309	#88200	—	2	1	no	—
310	C₂×#6107	C₂³	1	1	yes	characteristic
311	C₂×#6107	C₂³	1	1	yes	characteristic
312	C₂×#6107	C₂³	1	1	yes	characteristic
313	C₂×#6107	C₂³	1	1	yes	characteristic
314	C₂×#6106	C₂³	1	1	yes	characteristic
315	C₂×#6106	C₂³	1	1	yes	characteristic
316	C₂×#6106	C₂³	1	1	yes	characteristic
317	C₂×#6106	C₂³	1	1	yes	characteristic
318	#88192	—	2	1	no	—
319	#88192	—	2	1	no	—
320	#88191	—	2	1	no	—
321	#88191	—	2	1	no	—
322	#88189	—	2	1	no	—
323	#88189	—	2	1	no	—
324	C₂×#6105	C₂³	1	1	yes	characteristic
325	C₂×#6105	C₂³	1	1	yes	characteristic
326	C₂×#6105	C₂³	1	1	yes	characteristic
327	C₂×#6105	C₂³	1	1	yes	characteristic
328	#88186	—	2	4	no	—
329	C₂×#6104	C₂³	1	1	yes	characteristic
330	C₂×#6104	C₂³	1	1	yes	characteristic
331	C₂×#6104	C₂³	1	1	yes	characteristic
332	C₂×#6104	C₂³	1	1	yes	characteristic
333	#88184	C₂³	1	1	yes	characteristic
334	#88184	C₂³	1	1	yes	characteristic
335	#88183	—	2	1	no	—
336	#88183	—	2	1	no	—
337	C₄×C₂²⋊D₁₃	—	2	1	no	—
338	C₄×C₂²⋊D₁₃	—	2	1	no	—
339	C₄×C₂²⋊D₁₃	—	2	1	no	—
340	C₄×C₂²⋊D₁₃	—	2	1	no	—
341	C₄×C₂²⋊D₁₃	—	2	1	no	—
342	C₄×C₂²⋊D₁₃	—	2	1	no	—
343	C₂×#6103	—	2	1	no	—
344	#88180	—	2	1	no	—
345	#88180	C₂³	1	1	yes	characteristic
346	#88180	C₂³	1	1	yes	characteristic
347	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
348	#88178	—	2	1	no	—
349	#88178	C₂³	1	1	yes	characteristic
350	#88178	C₂³	1	1	yes	characteristic
351	#88178	C₂³	1	1	yes	characteristic
352	#88178	C₂³	1	1	yes	characteristic
353	C₂×#6099	C₂³	1	1	yes	characteristic
354	C₂×#6099	C₂³	1	1	yes	characteristic
355	C₂×#6099	C₂³	1	1	yes	characteristic
356	C₂×#6099	C₂³	1	1	yes	characteristic
357	C₂²×#1055	C₂³	1	1	yes	characteristic
358	C₂²×#1055	C₂³	1	1	yes	characteristic
359	#88152	—	2	1	no	—
360	#88152	—	2	1	no	—
361	#88150	—	2	1	no	—
362	#88150	—	2	1	no	—
363	#88148	—	2	1	no	—
364	#88148	—	2	1	no	—
365	#88146	—	2	1	no	—
366	#88146	—	2	1	no	—
367	C₄⋊C₄×D₁₃	—	2	1	no	—
368	C₄⋊C₄×D₁₃	—	2	1	no	—
369	#88143	—	2	1	no	—
370	#88143	—	2	1	no	—
371	#88139	—	2	1	no	—
372	#88139	—	2	1	no	—
373	#88138	—	2	1	no	—
374	#88138	—	2	1	no	—
375	#88137	—	2	1	no	—
376	#88137	—	2	1	no	—
377	C₂²⋊C₄×D₁₃	—	2	1	no	—
378	C₂²⋊C₄×D₁₃	—	2	1	no	—
379	#88133	—	2	1	no	—
380	#88133	—	2	1	no	—
381	#88131	—	2	1	no	—
382	#88131	—	2	1	no	—
383	#88130	—	2	1	no	—
384	#88130	—	2	1	no	—
385	#88129	C₂³	1	1	yes	characteristic
386	#88129	C₂³	1	1	yes	characteristic
387	C₄×D₅₂	—	2	1	no	—
388	C₄×D₅₂	—	2	1	no	—
389	C₄×D₅₂	C₂³	1	1	yes	characteristic
390	C₄×D₅₂	C₂³	1	1	yes	characteristic
391	C₄×D₅₂	C₂³	1	1	yes	characteristic
392	C₄×D₅₂	C₂³	1	1	yes	characteristic
393	C₄×D₅₂	C₂³	1	1	yes	characteristic
394	C₄×D₅₂	C₂³	1	1	yes	characteristic
395	#88126	—	2	1	no	—
396	#88126	—	2	1	no	—
397	#88126	—	2	1	no	—
398	#88126	—	2	1	no	—
399	C₄²×D₁₃	—	2	1	no	—
400	C₄²×D₁₃	—	2	1	no	—
401	#88124	—	2	1	no	—
402	#88124	C₂³	1	1	yes	characteristic
403	#88124	C₂³	1	1	yes	characteristic
404	#88123	C₂³	1	1	yes	characteristic
405	#88123	C₂³	1	1	yes	characteristic
406	C₄×Dic₂₆	—	2	1	no	—
407	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
408	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
409	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
410	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
411	#88075	C₂³	1	1	yes	characteristic
412	#88075	C₂³	1	1	yes	characteristic
413	#88075	C₂³	1	1	yes	characteristic
414	#88075	C₂³	1	1	yes	characteristic
415	#88075	C₂³	1	1	yes	characteristic
416	#88075	C₂³	1	1	yes	characteristic
417	#88075	C₂³	1	1	yes	characteristic
418	#88075	C₂³	1	1	yes	characteristic
419	#88072	C₂³	1	1	yes	characteristic
420	#88072	C₂³	1	1	yes	characteristic
421	#88072	C₂³	1	1	yes	characteristic
422	#88072	C₂³	1	1	yes	characteristic
423	#88072	C₂³	1	1	yes	characteristic
424	#88072	C₂³	1	1	yes	characteristic
425	#88072	C₂³	1	1	yes	characteristic
426	#88072	C₂³	1	1	yes	characteristic
427	C₂²⋊#1055	C₂³	1	1	yes	characteristic
428	C₂²⋊#1055	C₂³	1	1	yes	characteristic
429	C₂²⋊#1055	C₂³	1	1	yes	characteristic
430	C₂²⋊#1055	C₂³	1	1	yes	characteristic
431	C₂²⋊#1055	C₂³	1	1	yes	characteristic
432	C₂²⋊#1055	C₂³	1	1	yes	characteristic
433	#88050	C₂³	1	1	yes	characteristic
434	#88050	C₂³	1	1	yes	characteristic
435	#88050	C₂³	1	1	yes	characteristic
436	#88050	C₂³	1	1	yes	characteristic
437	#88050	C₂³	1	1	yes	characteristic
438	#88050	C₂³	1	1	yes	characteristic
439	#88050	C₂³	1	1	yes	characteristic
440	#88050	C₂³	1	1	yes	characteristic
441	#88049	C₂³	1	1	yes	characteristic
442	#88049	C₂³	1	1	yes	characteristic
443	#88049	C₂³	1	1	yes	characteristic
444	#88049	C₂³	1	1	yes	characteristic
445	#88049	C₂³	1	1	yes	characteristic
446	#88049	C₂³	1	1	yes	characteristic
447	#88049	C₂³	1	1	yes	characteristic
448	#88049	C₂³	1	1	yes	characteristic
449	#88048	C₂³	1	1	yes	characteristic
450	#88048	C₂³	1	1	yes	characteristic
451	#88048	C₂³	1	1	yes	characteristic
452	#88048	C₂³	1	1	yes	characteristic
453	#88048	C₂³	1	1	yes	characteristic
454	#88048	C₂³	1	1	yes	characteristic
455	#88048	C₂³	1	1	yes	characteristic
456	#88048	C₂³	1	1	yes	characteristic
457	#88047	C₂³	1	1	yes	characteristic
458	#88047	C₂³	1	1	yes	characteristic
459	#88047	C₂³	1	1	yes	characteristic
460	#88047	C₂³	1	1	yes	characteristic
461	#88047	C₂³	1	1	yes	characteristic
462	#88047	C₂³	1	1	yes	characteristic
463	#88047	C₂³	1	1	yes	characteristic
464	#88047	C₂³	1	1	yes	characteristic
465	C₄⋊#1055	C₂³	1	1	yes	characteristic
466	C₄⋊#1055	C₂³	1	1	yes	characteristic
467	C₄⋊#1055	C₂³	1	1	yes	characteristic
468	C₄⋊#1055	C₂³	1	1	yes	characteristic
469	C₄⋊#1055	C₂³	1	1	yes	characteristic
470	C₄⋊#1055	C₂³	1	1	yes	characteristic
471	#88043	C₂³	1	1	yes	characteristic
472	#88043	C₂³	1	1	yes	characteristic
473	#88043	C₂³	1	1	yes	characteristic
474	#88043	C₂³	1	1	yes	characteristic
475	C₄×#1055	C₂³	1	1	yes	characteristic
476	C₄×#1055	C₂³	1	1	yes	characteristic
477	C₄×#1055	C₂³	1	1	yes	characteristic
478	C₄×#1055	C₂³	1	1	yes	characteristic
479	C₄×#1055	C₂³	1	1	yes	characteristic
480	C₄×#1055	C₂³	1	1	yes	characteristic
481	#61442	—	13	1	no	maximal, Sylow
482	C₂⁴×C₁₃	—	2	1	no	—
483	C₂³×D₁₃	—	2	1	no	—
484	C₁₃×#41	—	2	2	no	—
485	C₁₃×#41	—	2	2	no	—
486	C₁₃×#41	—	4	2	no	—
487	C₁₃×#41	—	4	1	no	—
488	C₁₃×#41	—	4	1	no	—
489	C₂×Q₈×C₁₃	—	2	1	no	—
490	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
491	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
492	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₂×D₄×C₁₃	—	2	2	no	—
494	C₂×D₄×C₁₃	—	2	1	no	—
495	C₂×D₄×C₁₃	—	2	1	no	—
496	C₂×D₄×C₁₃	—	2	1	no	—
497	C₂×D₄×C₁₃	—	2	1	no	—
498	C₂×D₄×C₁₃	—	2	1	no	—
499	C₂×D₄×C₁₃	—	4	1	no	—
500	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
501	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
502	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
503	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₁₃	—	2	1	no	—
506	C₂²×C₄×C₁₃	—	2	1	no	—
507	C₂²×C₄×C₁₃	—	2	1	no	—
508	C₂²×C₄×C₁₃	—	2	1	no	—
509	C₂²×C₄×C₁₃	—	2	1	no	—
510	C₂²×C₄×C₁₃	—	2	1	no	—
511	C₂²×C₄×C₁₃	—	2	1	no	—
512	C₂²×C₄×C₁₃	—	2	1	no	—
513	C₂²×C₄×C₁₃	—	2	1	no	—
514	C₂²×C₄×C₁₃	—	4	4	no	—
515	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
516	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
517	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
518	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
519	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
520	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
521	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂²×Dic₁₃	—	2	1	no	—
529	#6127	—	2	2	no	—
530	#6127	—	2	2	no	—
531	#6127	—	4	1	no	—
532	#6127	—	4	1	no	—
533	C₂×D₅₂	—	2	2	no	—
534	C₂×D₅₂	—	2	1	no	—
535	C₂×D₅₂	—	4	1	no	—
536	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
537	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
538	C₂×C₄×D₁₃	—	2	1	no	—
539	C₂×C₄×D₁₃	—	2	1	no	—
540	C₂×C₄×D₁₃	—	2	1	no	—
541	C₂×C₄×D₁₃	—	2	1	no	—
542	C₂×C₄×D₁₃	—	2	1	no	—
543	C₂×C₄×D₁₃	—	2	1	no	—
544	C₂×C₄×D₁₃	—	2	1	no	—
545	C₂×C₄×D₁₃	—	2	1	no	—
546	C₂×C₄×D₁₃	—	4	4	no	—
547	C₂×Dic₂₆	—	2	1	no	—
548	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
549	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
550	C₁₃×C₄⋊C₄	—	2	1	no	—
551	C₁₃×C₄⋊C₄	—	2	1	no	—
552	C₁₃×C₄⋊C₄	—	2	1	no	—
553	C₁₃×C₄⋊C₄	—	2	1	no	—
554	C₁₃×C₄⋊C₄	—	2	1	no	—
555	C₁₃×C₄⋊C₄	—	2	1	no	—
556	C₁₃×C₄⋊C₄	—	2	1	no	—
557	C₁₃×C₄⋊C₄	—	2	1	no	—
558	C₁₃×C₄⋊C₄	—	2	1	no	—
559	C₁₃×C₄⋊C₄	—	2	1	no	—
560	C₁₃×C₄⋊C₄	—	2	1	no	—
561	C₁₃×C₄⋊C₄	—	2	1	no	—
562	C₁₃×C₄⋊C₄	—	2	1	no	—
563	C₁₃×C₄⋊C₄	—	2	1	no	—
564	C₁₃×C₄⋊C₄	—	2	1	no	—
565	C₁₃×C₄⋊C₄	—	2	1	no	—
566	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
567	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
568	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
569	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
570	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
571	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
572	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
573	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
574	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
575	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
576	C₁₃×C₂²⋊C₄	—	2	1	no	—
577	C₁₃×C₂²⋊C₄	—	2	1	no	—
578	C₁₃×C₂²⋊C₄	—	2	1	no	—
579	C₁₃×C₂²⋊C₄	—	2	1	no	—
580	C₁₃×C₂²⋊C₄	—	2	1	no	—
581	C₁₃×C₂²⋊C₄	—	2	1	no	—
582	C₁₃×C₂²⋊C₄	—	2	1	no	—
583	C₁₃×C₂²⋊C₄	—	2	1	no	—
584	C₁₃×C₂²⋊C₄	—	2	1	no	—
585	C₁₃×C₂²⋊C₄	—	2	1	no	—
586	C₁₃×C₂²⋊C₄	—	2	1	no	—
587	C₁₃×C₂²⋊C₄	—	2	1	no	—
588	C₁₃×C₂²⋊C₄	—	2	1	no	—
589	C₁₃×C₂²⋊C₄	—	2	1	no	—
590	C₁₃×C₂²⋊C₄	—	2	1	no	—
591	C₁₃×C₂²⋊C₄	—	2	1	no	—
592	C₁₃×C₂²⋊C₄	—	2	1	no	—
593	C₁₃×C₂²⋊C₄	—	2	1	no	—
594	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
595	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
596	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
597	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
600	C₄²×C₁₃	—	2	1	no	—
601	C₄²×C₁₃	—	2	1	no	—
602	C₄²×C₁₃	—	2	1	no	—
603	C₄²×C₁₃	—	2	1	no	—
604	C₄²×C₁₃	—	2	1	no	—
605	C₄²×C₁₃	—	2	1	no	—
606	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
607	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
608	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
609	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
610	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
611	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
612	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
613	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
614	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
615	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
616	C₂²⋊Dic₁₃	—	2	1	no	—
617	C₂²⋊Dic₁₃	—	2	1	no	—
618	C₂²⋊Dic₁₃	—	2	1	no	—
619	C₂²⋊Dic₁₃	—	2	1	no	—
620	C₂²⋊Dic₁₃	—	2	1	no	—
621	C₂²⋊Dic₁₃	—	2	1	no	—
622	#6107	—	2	2	no	—
623	#6107	—	4	1	no	—
624	#6107	—	4	1	no	—
625	#6107	—	4	1	no	—
626	#6106	—	2	2	no	—
627	#6106	—	2	2	no	—
628	#6106	—	2	2	no	—
629	#6106	—	4	1	no	—
630	#6105	—	2	2	no	—
631	#6105	—	2	2	no	—
632	#6105	—	2	2	no	—
633	#6105	—	4	1	no	—
634	#6104	—	2	2	no	—
635	#6104	—	2	2	no	—
636	#6104	—	4	1	no	—
637	#6104	#41	1	4	yes	complemented
638	#6103	—	2	1	no	—
639	#6103	—	2	1	no	—
640	#6103	—	2	1	no	—
641	#6103	—	2	1	no	—
642	#6103	—	2	1	no	—
643	#6103	—	2	1	no	—
644	#6103	—	2	1	no	—
645	#6103	—	2	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	C₄⋊Dic₁₃	—	2	1	no	—
651	C₄⋊Dic₁₃	—	2	1	no	—
652	C₄⋊Dic₁₃	—	2	1	no	—
653	C₄⋊Dic₁₃	—	2	1	no	—
654	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
655	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
656	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
657	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
658	#6101	—	2	1	no	—
659	#6101	—	2	1	no	—
660	#6101	—	2	1	no	—
661	#6101	—	2	1	no	—
662	#6101	—	2	1	no	—
663	#6101	—	2	1	no	—
664	#6101	—	2	1	no	—
665	#6101	—	2	1	no	—
666	#6101	—	2	1	no	—
667	#6101	—	2	1	no	—
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	C₄×Dic₁₃	—	2	1	no	—
671	C₄×Dic₁₃	—	2	1	no	—
672	C₄×Dic₁₃	—	2	1	no	—
673	C₄×Dic₁₃	—	2	1	no	—
674	C₄×Dic₁₃	—	2	1	no	—
675	C₄×Dic₁₃	—	2	1	no	—
676	#6099	—	2	2	no	—
677	#6099	—	2	2	no	—
678	#6099	—	4	1	no	—
679	#6099	—	4	1	no	—
680	C₂×#1055	—	2	2	no	—
681	C₂×#1055	—	4	1	no	—
682	C₂×#1055	C₂⁴	1	1	yes	characteristic
683	C₂×#1055	C₂⁴	1	1	yes	characteristic
684	C₂×#1055	C₂⁴	1	1	yes	characteristic
685	C₂×#1055	C₂⁴	1	1	yes	characteristic
686	C₂×#1055	C₂⁴	1	1	yes	characteristic
687	C₂×#1055	C₂⁴	1	1	yes	characteristic
688	C₂×#1055	C₂⁴	1	1	yes	characteristic
689	C₂×#1055	C₂⁴	1	1	yes	characteristic
690	#3475	—	13	1	no	—
691	#3475	D₁₃	1	1	yes	characteristic, complemented
692	#3402	—	13	1	no	—
693	#3389	—	13	1	no	—
694	#3376	—	13	1	no	—
695	#3376	—	13	1	no	—
696	#3352	—	13	1	no	—
697	#3348	—	13	1	no	—
698	#3348	—	13	1	no	—
699	#3323	—	13	1	no	—
700	#3323	—	13	1	no	—
701	#3319	—	13	1	no	—
702	#3319	—	13	1	no	—
703	#3315	—	13	1	no	—
704	#3315	—	13	1	no	—
705	#3273	—	13	1	no	—
706	#3267	—	13	1	no	—
707	#3267	—	13	1	no	—
708	#3172	—	13	1	no	—
709	#3172	—	13	1	no	—
710	#3168	—	13	1	no	—
711	#3107	—	13	1	no	—
712	#3107	—	13	1	no	—
713	#3105	—	13	1	no	—
714	#3105	—	13	1	no	—
715	#3102	—	13	1	no	—
716	#3102	—	13	1	no	—
717	#2965	—	13	1	no	—
718	C₄×AGL(1,ℤ/8)	—	13	1	no	—
719	C₄×AGL(1,ℤ/8)	—	13	1	no	—
720	C₄×#135	—	13	1	no	—
721	C₂³×C₁₃	—	2	1	no	—
722	C₂³×C₁₃	—	2	1	no	—
723	C₂³×C₁₃	—	4	2	no	—
724	C₂³×C₁₃	—	4	2	no	—
725	C₂³×C₁₃	—	8	1	no	—
726	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
727	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
728	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
729	C₂²×D₁₃	—	2	1	no	—
730	C₂²×D₁₃	—	2	1	no	—
731	C₂²×D₁₃	—	4	2	no	—
732	C₂²×D₁₃	—	4	2	no	—
733	C₂²×D₁₃	—	8	1	no	—
734	Q₈×C₁₃	—	2	1	no	—
735	Q₈×C₁₃	—	2	1	no	—
736	Q₈×C₁₃	—	2	1	no	—
737	Q₈×C₁₃	—	2	1	no	—
738	Q₈×C₁₃	—	4	1	no	—
739	Q₈×C₁₃	—	8	1	no	—
740	D₄×C₁₃	—	2	1	no	—
741	D₄×C₁₃	—	2	1	no	—
742	D₄×C₁₃	—	2	1	no	—
743	D₄×C₁₃	—	4	1	no	—
744	D₄×C₁₃	—	4	1	no	—
745	D₄×C₁₃	—	4	1	no	—
746	D₄×C₁₃	—	4	2	no	—
747	D₄×C₁₃	—	4	2	no	—
748	D₄×C₁₃	—	4	2	no	—
749	D₄×C₁₃	—	8	1	no	—
750	D₄×C₁₃	—	8	1	no	—
751	D₄×C₁₃	C₂×#41	1	2	yes	—
752	C₂×C₄×C₁₃	—	2	2	no	—
753	C₂×C₄×C₁₃	—	2	2	no	—
754	C₂×C₄×C₁₃	—	2	2	no	—
755	C₂×C₄×C₁₃	—	2	1	no	—
756	C₂×C₄×C₁₃	—	2	1	no	—
757	C₂×C₄×C₁₃	—	2	1	no	—
758	C₂×C₄×C₁₃	—	2	1	no	—
759	C₂×C₄×C₁₃	—	2	1	no	—
760	C₂×C₄×C₁₃	—	2	1	no	—
761	C₂×C₄×C₁₃	—	2	1	no	—
762	C₂×C₄×C₁₃	—	2	1	no	—
763	C₂×C₄×C₁₃	—	2	1	no	—
764	C₂×C₄×C₁₃	—	2	1	no	—
765	C₂×C₄×C₁₃	—	2	1	no	—
766	C₂×C₄×C₁₃	—	2	1	no	—
767	C₂×C₄×C₁₃	—	4	1	no	—
768	C₂×C₄×C₁₃	—	4	1	no	—
769	C₂×C₄×C₁₃	—	4	1	no	—
770	C₂×C₄×C₁₃	—	4	2	no	—
771	C₂×C₄×C₁₃	—	4	2	no	—
772	C₂×C₄×C₁₃	—	4	2	no	—
773	C₂×C₄×C₁₃	—	4	2	no	—
774	C₂×C₄×C₁₃	—	4	2	no	—
775	C₂×C₄×C₁₃	—	4	2	no	—
776	C₂×C₄×C₁₃	—	4	2	no	—
777	C₂×C₄×C₁₃	—	8	1	no	—
778	C₂×C₄×C₁₃	—	8	1	no	—
779	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
781	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
782	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
786	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
787	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
791	C₂²⋊D₁₃	—	4	2	no	—
792	C₂²⋊D₁₃	—	4	2	no	—
793	C₂²⋊D₁₃	—	8	1	no	—
794	C₂²⋊D₁₃	—	8	1	no	—
795	C₂×Dic₁₃	—	2	1	no	—
796	C₂×Dic₁₃	—	2	1	no	—
797	C₂×Dic₁₃	—	2	1	no	—
798	C₂×Dic₁₃	—	2	1	no	—
799	C₂×Dic₁₃	—	2	1	no	—
800	C₂×Dic₁₃	—	2	1	no	—
801	C₂×Dic₁₃	—	4	2	no	—
802	D₅₂	—	2	1	no	—
803	D₅₂	—	2	1	no	—
804	D₅₂	—	2	1	no	—
805	D₅₂	—	4	2	no	—
806	D₅₂	C₂×#41	1	2	yes	—
807	C₄×D₁₃	—	4	2	no	—
808	C₄×D₁₃	—	4	2	no	—
809	C₄×D₁₃	—	4	2	no	—
810	C₄×D₁₃	—	4	2	no	—
811	C₄×D₁₃	—	4	2	no	—
812	C₄×D₁₃	—	4	2	no	—
813	C₄×D₁₃	—	8	1	no	—
814	C₄×D₁₃	—	8	1	no	—
815	Dic₂₆	—	2	1	no	—
816	Dic₂₆	—	2	1	no	—
817	Dic₂₆	—	2	1	no	—
818	Dic₂₆	—	2	1	no	—
819	Dic₂₆	—	8	1	no	—
820	#1055	—	2	1	no	—
821	#1055	—	2	1	no	—
822	#1055	—	2	1	no	—
823	#1055	—	2	1	no	—
824	#1055	—	2	1	no	—
825	#1055	—	2	1	no	—
826	#1055	—	2	1	no	—
827	#1055	C₂×#41	1	2	yes	—
828	C₂×AGL(1,ℤ/8)	—	13	1	no	—
829	C₂×AGL(1,ℤ/8)	—	13	1	no	—
830	C₂×#135	—	13	1	no	—
831	#556	—	13	1	no	—
832	#556	C₂×D₁₃	1	1	yes	characteristic, complemented
833	#555	—	13	1	no	—
834	#555	C₂×D₁₃	1	1	yes	characteristic
835	#554	—	13	1	no	—
836	#554	C₂×D₁₃	1	1	yes	characteristic, complemented
837	#553	—	2	1	no	—
838	#553	—	26	1	no	—
839	#552	—	2	1	no	—
840	#552	—	13	1	no	—
841	#552	—	13	1	no	—
842	#552	—	26	1	no	—
843	#552	C₂×D₁₃	1	1	yes	characteristic
844	#552	C₂×D₁₃	1	1	yes	characteristic, complemented
845	#551	—	2	1	no	—
846	#551	—	2	1	no	—
847	#551	—	26	1	no	—
848	#551	—	26	1	no	—
849	#547	—	13	1	no	—
850	#547	C₂×D₁₃	1	1	yes	characteristic
851	#546	—	13	1	no	—
852	#546	—	13	1	no	—
853	#546	C₂×D₁₃	1	1	yes	characteristic
854	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
855	#533	—	13	1	no	—
856	#533	C₂×D₁₃	1	1	yes	characteristic, complemented
857	#529	—	2	1	no	—
858	#529	—	2	1	no	—
859	#529	—	13	1	no	—
860	#529	—	13	1	no	—
861	#529	—	26	1	no	—
862	#529	—	26	1	no	—
863	#529	C₂×D₁₃	1	1	yes	characteristic
864	#529	C₂×D₁₃	1	1	yes	characteristic, complemented
865	#525	—	2	1	no	—
866	#525	—	26	1	no	—
867	C₄×#41	—	13	1	no	—
868	C₄×#41	—	13	1	no	—
869	C₄×#41	C₂×D₁₃	1	1	yes	characteristic
870	C₄×#41	C₂×D₁₃	1	1	yes	characteristic
871	C₄×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
872	C₂×C₄×D₄	—	13	1	no	—
873	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
874	C₂×#117	—	2	1	no	—
875	C₂×#117	—	26	1	no	—
876	#501	—	13	1	no	—
877	#501	—	13	1	no	—
878	#499	—	13	1	no	—
879	#497	—	13	1	no	—
880	#497	—	13	1	no	—
881	#495	—	13	1	no	—
882	#491	—	13	1	no	—
883	#491	—	13	1	no	—
884	#489	—	13	1	no	—
885	#489	—	13	1	no	—
886	#488	—	13	1	no	—
887	#488	—	13	1	no	—
888	#485	—	13	1	no	—
889	#485	—	13	1	no	—
890	#485	—	13	1	no	—
891	#485	—	13	1	no	—
892	#485	—	13	1	no	—
893	#485	—	13	1	no	—
894	#484	—	13	1	no	—
895	#484	—	13	1	no	—
896	#482	—	13	1	no	—
897	#482	—	13	1	no	—
898	#481	—	13	1	no	—
899	#481	—	13	1	no	—
900	#479	—	13	1	no	—
901	#479	—	13	1	no	—
902	#478	—	13	1	no	—
903	#478	—	13	1	no	—
904	#478	—	13	1	no	—
905	#478	—	13	1	no	—
906	#478	—	13	1	no	—
907	#478	—	13	1	no	—
908	#475	—	13	1	no	—
909	#475	—	13	1	no	—
910	#474	—	13	1	no	—
911	#474	—	13	1	no	—
912	#470	—	13	1	no	—
913	#470	—	13	1	no	—
914	#470	—	13	1	no	—
915	#470	—	13	1	no	—
916	#468	—	13	1	no	—
917	#468	—	13	1	no	—
918	#468	—	13	1	no	—
919	#468	—	13	1	no	—
920	#467	—	13	1	no	—
921	#466	—	13	1	no	—
922	#465	—	13	1	no	—
923	#465	—	13	1	no	—
924	#464	—	13	1	no	—
925	#464	—	13	1	no	—
926	#463	—	13	1	no	—
927	#463	—	13	1	no	—
928	#463	—	13	1	no	—
929	#463	—	13	1	no	—
930	#463	—	13	1	no	—
931	#463	—	13	1	no	—
932	#462	—	13	1	no	—
933	#462	—	13	1	no	—
934	#461	—	13	1	no	—
935	#461	—	13	1	no	—
936	#452	—	13	1	no	—
937	#452	—	13	1	no	—
938	#452	—	13	1	no	—
939	#452	—	13	1	no	—
940	#452	—	13	1	no	—
941	#452	—	13	1	no	—
942	#450	—	13	1	no	—
943	#450	—	13	1	no	—
944	#449	—	13	1	no	—
945	#449	—	13	1	no	—
946	#447	—	13	1	no	—
947	#447	—	13	1	no	—
948	#446	—	13	1	no	—
949	#446	—	13	1	no	—
950	#442	—	13	1	no	—
951	#442	—	13	1	no	—
952	#442	—	13	1	no	—
953	#442	—	13	1	no	—
954	#440	—	13	1	no	—
955	#440	—	13	1	no	—
956	#440	—	13	1	no	—
957	#440	—	13	1	no	—
958	C₄×Q₁₆	—	13	1	no	—
959	C₄×Q₁₆	—	13	1	no	—
960	C₄×Q₁₆	—	13	1	no	—
961	C₄×Q₁₆	—	13	1	no	—
962	C₄×Q₁₆	—	13	1	no	—
963	C₄×SD₁₆	—	13	1	no	—
964	C₄×SD₁₆	—	13	1	no	—
965	C₄×SD₁₆	—	13	1	no	—
966	C₄×SD₁₆	—	13	1	no	—
967	C₄×SD₁₆	—	13	1	no	—
968	C₄×SD₁₆	—	13	1	no	—
969	C₄×SD₁₆	—	13	1	no	—
970	C₄×SD₁₆	—	13	1	no	—
971	C₄×SD₁₆	—	13	1	no	—
972	C₄×SD₁₆	—	13	1	no	—
973	C₄×D₈	—	13	1	no	—
974	C₄×D₈	—	13	1	no	—
975	C₄×D₈	—	13	1	no	—
976	C₄×D₈	—	13	1	no	—
977	C₄×D₈	—	13	1	no	—
978	#436	—	13	1	no	—
979	#436	—	13	1	no	—
980	#435	—	13	1	no	—
981	#435	—	13	1	no	—
982	#435	—	13	1	no	—
983	#435	—	13	1	no	—
984	#431	—	13	1	no	—
985	#431	—	13	1	no	—
986	#431	—	13	1	no	—
987	#428	—	13	1	no	—
988	#428	—	13	1	no	—
989	#427	—	13	1	no	—
990	#418	—	13	1	no	—
991	#418	—	13	1	no	—
992	#417	—	13	1	no	—
993	#417	—	13	1	no	—
994	#416	—	13	1	no	—
995	#416	—	13	1	no	—
996	C₄×M₁₆	—	13	1	no	—
997	C₄×M₁₆	—	13	1	no	—
998	C₂×C₄×C₈	—	13	1	no	—
999	C₂²×C₁₃	—	2	1	no	—
1000	C₂²×C₁₃	—	2	1	no	—
1001	C₂²×C₁₃	—	2	1	no	—
1002	C₂²×C₁₃	—	2	1	no	—
1003	C₂²×C₁₃	—	2	1	no	—
1004	C₂²×C₁₃	—	2	1	no	—
1005	C₂²×C₁₃	—	2	2	no	—
1006	C₂²×C₁₃	—	2	1	no	—
1007	C₂²×C₁₃	—	2	1	no	—
1008	C₂²×C₁₃	—	2	1	no	—
1009	C₂²×C₁₃	—	4	1	no	—
1010	C₂²×C₁₃	—	4	1	no	—
1011	C₂²×C₁₃	—	4	1	no	—
1012	C₂²×C₁₃	—	4	1	no	—
1013	C₂²×C₁₃	—	4	1	no	—
1014	C₂²×C₁₃	—	8	4	no	—
1015	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1016	C₂×D₁₃	—	2	2	no	—
1017	C₂×D₁₃	—	4	1	no	—
1018	C₂×D₁₃	—	4	1	no	—
1019	C₂×D₁₃	—	4	1	no	—
1020	C₂×D₁₃	—	4	1	no	—
1021	C₂×D₁₃	—	4	1	no	—
1022	C₂×D₁₃	—	8	4	no	—
1023	C₄×C₁₃	—	2	1	no	—
1024	C₄×C₁₃	—	2	1	no	—
1025	C₄×C₁₃	—	2	1	no	—
1026	C₄×C₁₃	—	2	1	no	—
1027	C₄×C₁₃	—	2	1	no	—
1028	C₄×C₁₃	—	2	1	no	—
1029	C₄×C₁₃	—	2	1	no	—
1030	C₄×C₁₃	—	2	1	no	—
1031	C₄×C₁₃	—	2	1	no	—
1032	C₄×C₁₃	—	2	1	no	—
1033	C₄×C₁₃	—	4	1	no	—
1034	C₄×C₁₃	—	4	1	no	—
1035	C₄×C₁₃	—	4	1	no	—
1036	C₄×C₁₃	—	4	1	no	—
1037	C₄×C₁₃	—	4	1	no	—
1038	C₄×C₁₃	—	4	1	no	—
1039	C₄×C₁₃	#575	1	2	yes	—
1040	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1041	C₄×C₁₃	#585	1	1	yes	characteristic
1042	Dic₁₃	—	4	1	no	—
1043	Dic₁₃	—	4	1	no	—
1044	Dic₁₃	—	4	1	no	—
1045	Dic₁₃	—	4	1	no	—
1046	Dic₁₃	—	4	1	no	—
1047	Dic₁₃	—	4	1	no	—
1048	C₂×#41	—	13	1	no	—
1049	C₂×#41	—	13	1	no	—
1050	C₂×#41	C₂²⋊D₁₃	1	1	yes	characteristic
1051	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1052	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1053	C₂²×D₄	—	13	1	no	—
1054	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1055	C₂³×C₄	—	2	1	no	—
1056	C₂³×C₄	—	26	1	no	—
1057	AGL(1,ℤ/8)	—	26	4	no	—
1058	AGL(1,ℤ/8)	—	26	4	no	—
1059	#135	—	26	4	no	—
1060	C₂×Q₁₆	—	13	1	no	—
1061	C₂×Q₁₆	—	13	1	no	—
1062	C₂×Q₁₆	—	13	1	no	—
1063	C₂×Q₁₆	—	13	1	no	—
1064	C₂×SD₁₆	—	13	1	no	—
1065	C₂×SD₁₆	—	13	1	no	—
1066	C₂×SD₁₆	—	13	1	no	—
1067	C₂×SD₁₆	—	13	1	no	—
1068	C₂×SD₁₆	—	13	1	no	—
1069	C₂×SD₁₆	—	13	1	no	—
1070	C₂×SD₁₆	—	13	1	no	—
1071	C₂×SD₁₆	—	13	1	no	—
1072	C₂×D₈	—	13	1	no	—
1073	C₂×D₈	—	13	1	no	—
1074	C₂×D₈	—	13	1	no	—
1075	C₂×D₈	—	13	1	no	—
1076	C₂×M₁₆	—	13	1	no	—
1077	C₂×M₁₆	—	13	1	no	—
1078	C₂×M₁₆	—	13	1	no	—
1079	C₂×M₁₆	—	13	1	no	—
1080	C₂²×C₈	—	13	1	no	—
1081	C₂²×C₈	—	13	1	no	—
1082	C₄⋊Q₈	—	13	1	no	—
1083	C₄⋊Q₈	—	13	1	no	—
1084	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1085	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1086	#126	—	2	1	no	—
1087	#126	—	2	1	no	—
1088	#126	—	2	1	no	—
1089	#126	—	2	1	no	—
1090	#126	—	2	1	no	—
1091	#126	—	2	1	no	—
1092	#126	—	26	1	no	—
1093	#126	—	26	1	no	—
1094	#126	—	26	1	no	—
1095	#126	—	26	1	no	—
1096	#126	—	26	1	no	—
1097	#126	—	26	1	no	—
1098	#125	—	2	1	no	—
1099	#125	—	2	1	no	—
1100	#125	—	2	1	no	—
1101	#125	—	13	1	no	—
1102	#125	—	13	1	no	—
1103	#125	—	26	1	no	—
1104	#125	—	26	1	no	—
1105	#125	—	26	1	no	—
1106	#125	C₂²×D₁₃	1	1	yes	characteristic
1107	#125	C₂²×D₁₃	1	1	yes	characteristic
1108	#124	—	2	1	no	—
1109	#124	—	2	1	no	—
1110	#124	—	13	1	no	—
1111	#124	—	13	1	no	—
1112	#124	—	26	1	no	—
1113	#124	—	26	1	no	—
1114	#124	C₂²×D₁₃	1	1	yes	characteristic
1115	#124	C₂²×D₁₃	1	1	yes	characteristic
1116	#123	—	2	1	no	—
1117	#123	—	2	1	no	—
1118	#123	—	2	1	no	—
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	#123	—	2	1	no	—
1124	#123	—	26	1	no	—
1125	#123	—	26	1	no	—
1126	#123	—	26	1	no	—
1127	#123	—	26	1	no	—
1128	#123	—	26	1	no	—
1129	#123	—	26	1	no	—
1130	#123	—	26	1	no	—
1131	#123	—	26	1	no	—
1132	C₂²⋊Q₈	—	2	1	no	—
1133	C₂²⋊Q₈	—	2	1	no	—
1134	C₂²⋊Q₈	—	2	1	no	—
1135	C₂²⋊Q₈	—	2	1	no	—
1136	C₂²⋊Q₈	—	2	1	no	—
1137	C₂²⋊Q₈	—	13	1	no	—
1138	C₂²⋊Q₈	—	13	1	no	—
1139	C₂²⋊Q₈	—	13	1	no	—
1140	C₂²⋊Q₈	—	13	1	no	—
1141	C₂²⋊Q₈	—	26	1	no	—
1142	C₂²⋊Q₈	—	26	1	no	—
1143	C₂²⋊Q₈	—	26	1	no	—
1144	C₂²⋊Q₈	—	26	1	no	—
1145	C₂²⋊Q₈	—	26	1	no	—
1146	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1147	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1148	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1149	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1150	#121	—	2	1	no	—
1151	#121	—	2	1	no	—
1152	#121	—	2	1	no	—
1153	#121	—	2	1	no	—
1154	#121	—	13	1	no	—
1155	#121	—	13	1	no	—
1156	#121	—	26	1	no	—
1157	#121	—	26	1	no	—
1158	#121	—	26	1	no	—
1159	#121	—	26	1	no	—
1160	#121	C₂²×D₁₃	1	1	yes	characteristic
1161	#121	C₂²×D₁₃	1	1	yes	characteristic
1162	#120	—	2	1	no	—
1163	#120	—	2	1	no	—
1164	#120	—	26	1	no	—
1165	#120	—	26	1	no	—
1166	C₄×Q₈	—	2	1	no	—
1167	C₄×Q₈	—	13	1	no	—
1168	C₄×Q₈	—	13	1	no	—
1169	C₄×Q₈	—	13	1	no	—
1170	C₄×Q₈	—	13	1	no	—
1171	C₄×Q₈	—	26	1	no	—
1172	C₄×Q₈	C₂²⋊D₁₃	1	1	yes	characteristic
1173	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1174	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1175	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1176	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1177	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1178	C₄×D₄	—	2	1	no	—
1179	C₄×D₄	—	2	1	no	—
1180	C₄×D₄	—	2	1	no	—
1181	C₄×D₄	—	2	1	no	—
1182	C₄×D₄	—	2	1	no	—
1183	C₄×D₄	—	2	1	no	—
1184	C₄×D₄	—	2	1	no	—
1185	C₄×D₄	—	2	1	no	—
1186	C₄×D₄	—	13	1	no	—
1187	C₄×D₄	—	13	1	no	—
1188	C₄×D₄	—	13	1	no	—
1189	C₄×D₄	—	13	1	no	—
1190	C₄×D₄	—	13	1	no	—
1191	C₄×D₄	—	13	1	no	—
1192	C₄×D₄	—	26	1	no	—
1193	C₄×D₄	—	26	1	no	—
1194	C₄×D₄	—	26	1	no	—
1195	C₄×D₄	—	26	1	no	—
1196	C₄×D₄	—	26	1	no	—
1197	C₄×D₄	—	26	1	no	—
1198	C₄×D₄	—	26	1	no	—
1199	C₄×D₄	—	26	1	no	—
1200	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
1201	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
1202	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
1203	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1204	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1205	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1206	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1207	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1208	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1209	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1210	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1211	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1212	#117	—	2	1	no	—
1213	#117	—	2	1	no	—
1214	#117	—	2	1	no	—
1215	#117	—	2	1	no	—
1216	#117	—	2	1	no	—
1217	#117	—	2	1	no	—
1218	#117	—	2	1	no	—
1219	#117	—	2	1	no	—
1220	#117	—	2	1	no	—
1221	#117	—	13	1	no	—
1222	#117	—	13	1	no	—
1223	#117	—	26	1	no	—
1224	#117	—	26	1	no	—
1225	#117	—	26	1	no	—
1226	#117	—	26	1	no	—
1227	#117	—	26	1	no	—
1228	#117	—	26	1	no	—
1229	#117	—	26	1	no	—
1230	#117	—	26	1	no	—
1231	#117	—	26	1	no	—
1232	#117	C₂²⋊D₁₃	1	1	yes	characteristic
1233	#117	C₂²⋊D₁₃	1	1	yes	characteristic
1234	#117	C₂²⋊D₁₃	1	1	yes	characteristic
1235	#117	C₂²×D₁₃	1	1	yes	characteristic
1236	#117	C₂²×D₁₃	1	1	yes	characteristic
1237	C₂×C₄⋊C₄	—	2	1	no	—
1238	C₂×C₄⋊C₄	—	2	1	no	—
1239	C₂×C₄⋊C₄	—	13	1	no	—
1240	C₂×C₄⋊C₄	—	26	1	no	—
1241	C₂×C₄⋊C₄	—	26	1	no	—
1242	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1243	C₂×C₂²⋊C₄	—	2	1	no	—
1244	C₂×C₂²⋊C₄	—	2	1	no	—
1245	C₂×C₂²⋊C₄	—	2	1	no	—
1246	C₂×C₂²⋊C₄	—	26	1	no	—
1247	C₂×C₂²⋊C₄	—	26	1	no	—
1248	C₂×C₂²⋊C₄	—	26	1	no	—
1249	C₂×C₄²	—	2	1	no	—
1250	C₂×C₄²	—	2	1	no	—
1251	C₂×C₄²	—	26	1	no	—
1252	C₂×C₄²	—	26	1	no	—
1253	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1254	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1255	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1256	#107	—	13	1	no	—
1257	#107	—	13	1	no	—
1258	#107	—	13	1	no	—
1259	#107	—	13	1	no	—
1260	#107	—	13	1	no	—
1261	#107	—	13	1	no	—
1262	#107	—	13	1	no	—
1263	#107	—	13	1	no	—
1264	#106	—	13	1	no	—
1265	#106	—	13	1	no	—
1266	#106	—	13	1	no	—
1267	#106	—	13	1	no	—
1268	#106	—	13	1	no	—
1269	#106	—	13	1	no	—
1270	#106	—	13	1	no	—
1271	#106	—	13	1	no	—
1272	C₄⋊C₈	—	13	1	no	—
1273	C₄⋊C₈	—	13	1	no	—
1274	C₄⋊C₈	—	13	1	no	—
1275	C₄⋊C₈	—	13	1	no	—
1276	C₄⋊C₈	—	13	1	no	—
1277	C₄⋊C₈	—	13	1	no	—
1278	#103	—	13	1	no	—
1279	#103	—	13	1	no	—
1280	#103	—	13	1	no	—
1281	#103	—	13	1	no	—
1282	#103	—	13	1	no	—
1283	#103	—	13	1	no	—
1284	#103	—	13	1	no	—
1285	#103	—	13	1	no	—
1286	#103	—	13	1	no	—
1287	#103	—	13	1	no	—
1288	#103	—	13	1	no	—
1289	#103	—	13	1	no	—
1290	#103	—	13	1	no	—
1291	#103	—	13	1	no	—
1292	#103	—	13	1	no	—
1293	#103	—	13	1	no	—
1294	#102	—	13	1	no	—
1295	#102	—	13	1	no	—
1296	#102	—	13	1	no	—
1297	#102	—	13	1	no	—
1298	#102	—	13	1	no	—
1299	#102	—	13	1	no	—
1300	#102	—	13	1	no	—
1301	#102	—	13	1	no	—
1302	#102	—	13	1	no	—
1303	#102	—	13	1	no	—
1304	#102	—	13	1	no	—
1305	#102	—	13	1	no	—
1306	#102	—	13	1	no	—
1307	#102	—	13	1	no	—
1308	#102	—	13	1	no	—
1309	#102	—	13	1	no	—
1310	C₂²⋊C₈	—	13	1	no	—
1311	C₂²⋊C₈	—	13	1	no	—
1312	C₂²⋊C₈	—	13	1	no	—
1313	C₂²⋊C₈	—	13	1	no	—
1314	C₂²⋊C₈	—	13	1	no	—
1315	C₂²⋊C₈	—	13	1	no	—
1316	#97	—	13	1	no	—
1317	#97	—	13	1	no	—
1318	#97	—	13	1	no	—
1319	#97	—	13	1	no	—
1320	C₄×C₈	—	13	1	no	—
1321	C₄×C₈	—	13	1	no	—
1322	C₄×C₈	—	13	1	no	—
1323	C₄×C₈	—	13	1	no	—
1324	C₄×C₈	—	13	1	no	—
1325	C₄×C₈	—	13	1	no	—
1326	C₂×C₁₃	—	4	1	no	—
1327	C₂×C₁₃	—	4	1	no	—
1328	C₂×C₁₃	—	4	1	no	—
1329	C₂×C₁₃	—	4	2	no	—
1330	C₂×C₁₃	—	8	1	no	—
1331	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1332	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1333	C₂×C₁₃	#3584	1	1	yes	characteristic
1334	D₁₃	—	4	2	no	—
1335	D₁₃	—	8	1	no	—
1336	C₂⁴	—	2	1	no	—
1337	C₂⁴	—	26	1	no	—
1338	#41	—	2	2	no	—
1339	#41	—	2	2	no	—
1340	#41	—	4	2	no	—
1341	#41	—	4	1	no	—
1342	#41	—	4	1	no	—
1343	#41	—	26	2	no	—
1344	#41	—	26	2	no	—
1345	#41	—	52	1	no	—
1346	#41	—	52	1	no	—
1347	C₂×Q₈	—	2	1	no	—
1348	C₂×Q₈	—	13	1	no	—
1349	C₂×Q₈	—	13	1	no	—
1350	C₂×Q₈	—	26	1	no	—
1351	C₂×Q₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1352	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1353	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1354	C₂×D₄	—	2	2	no	—
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	4	1	no	—
1361	C₂×D₄	—	13	1	no	—
1362	C₂×D₄	—	13	1	no	—
1363	C₂×D₄	—	26	2	no	—
1364	C₂×D₄	—	26	1	no	—
1365	C₂×D₄	—	26	1	no	—
1366	C₂×D₄	—	26	1	no	—
1367	C₂×D₄	—	26	1	no	—
1368	C₂×D₄	—	26	1	no	—
1369	C₂×D₄	—	52	1	no	—
1370	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1371	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1372	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1373	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1374	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	2	1	no	—
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	4	4	no	—
1385	C₂²×C₄	—	26	1	no	—
1386	C₂²×C₄	—	26	1	no	—
1387	C₂²×C₄	—	26	1	no	—
1388	C₂²×C₄	—	26	1	no	—
1389	C₂²×C₄	—	26	1	no	—
1390	C₂²×C₄	—	26	1	no	—
1391	C₂²×C₄	—	26	1	no	—
1392	C₂²×C₄	—	26	1	no	—
1393	C₂²×C₄	—	26	1	no	—
1394	C₂²×C₄	—	52	4	no	—
1395	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1396	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1397	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1398	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1399	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1400	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1401	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1402	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1403	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1404	Q₁₆	—	26	2	no	—
1405	Q₁₆	—	52	1	no	—
1406	Q₁₆	—	52	1	no	—
1407	Q₁₆	—	52	1	no	—
1408	SD₁₆	—	26	2	no	—
1409	SD₁₆	—	26	2	no	—
1410	SD₁₆	—	26	2	no	—
1411	SD₁₆	—	26	2	no	—
1412	SD₁₆	—	26	2	no	—
1413	SD₁₆	—	26	2	no	—
1414	SD₁₆	—	52	1	no	—
1415	SD₁₆	—	52	1	no	—
1416	D₈	—	13	4	no	—
1417	D₈	—	26	2	no	—
1418	D₈	—	26	2	no	—
1419	D₈	—	52	1	no	—
1420	M₁₆	—	26	2	no	—
1421	M₁₆	—	26	2	no	—
1422	M₁₆	—	52	1	no	—
1423	M₁₆	—	52	1	no	—
1424	C₂×C₈	—	13	1	no	—
1425	C₂×C₈	—	13	1	no	—
1426	C₂×C₈	—	13	1	no	—
1427	C₂×C₈	—	13	1	no	—
1428	C₂×C₈	—	13	1	no	—
1429	C₂×C₈	—	13	1	no	—
1430	C₂×C₈	—	13	1	no	—
1431	C₂×C₈	—	13	1	no	—
1432	C₂×C₈	—	26	2	no	—
1433	C₂×C₈	—	52	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	13	1	no	—
1451	C₄⋊C₄	—	13	1	no	—
1452	C₄⋊C₄	—	13	1	no	—
1453	C₄⋊C₄	—	13	1	no	—
1454	C₄⋊C₄	—	26	1	no	—
1455	C₄⋊C₄	—	26	1	no	—
1456	C₄⋊C₄	—	26	1	no	—
1457	C₄⋊C₄	—	26	1	no	—
1458	C₄⋊C₄	—	26	1	no	—
1459	C₄⋊C₄	—	26	1	no	—
1460	C₄⋊C₄	—	26	1	no	—
1461	C₄⋊C₄	—	26	1	no	—
1462	C₄⋊C₄	—	26	1	no	—
1463	C₄⋊C₄	—	26	1	no	—
1464	C₄⋊C₄	—	26	1	no	—
1465	C₄⋊C₄	—	26	1	no	—
1466	C₄⋊C₄	—	26	1	no	—
1467	C₄⋊C₄	—	26	1	no	—
1468	C₄⋊C₄	—	26	1	no	—
1469	C₄⋊C₄	—	26	1	no	—
1470	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1471	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1472	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1473	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1474	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1475	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1476	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1477	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1478	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1479	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	26	1	no	—
1499	C₂²⋊C₄	—	26	1	no	—
1500	C₂²⋊C₄	—	26	1	no	—
1501	C₂²⋊C₄	—	26	1	no	—
1502	C₂²⋊C₄	—	26	1	no	—
1503	C₂²⋊C₄	—	26	1	no	—
1504	C₂²⋊C₄	—	26	1	no	—
1505	C₂²⋊C₄	—	26	1	no	—
1506	C₂²⋊C₄	—	26	1	no	—
1507	C₂²⋊C₄	—	26	1	no	—
1508	C₂²⋊C₄	—	26	1	no	—
1509	C₂²⋊C₄	—	26	1	no	—
1510	C₂²⋊C₄	—	26	1	no	—
1511	C₂²⋊C₄	—	26	1	no	—
1512	C₂²⋊C₄	—	26	1	no	—
1513	C₂²⋊C₄	—	26	1	no	—
1514	C₂²⋊C₄	—	26	1	no	—
1515	C₂²⋊C₄	—	26	1	no	—
1516	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1517	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1520	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1521	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1522	C₄²	—	2	1	no	—
1523	C₄²	—	2	1	no	—
1524	C₄²	—	2	1	no	—
1525	C₄²	—	2	1	no	—
1526	C₄²	—	2	1	no	—
1527	C₄²	—	2	1	no	—
1528	C₄²	—	26	1	no	—
1529	C₄²	—	26	1	no	—
1530	C₄²	—	26	1	no	—
1531	C₄²	—	26	1	no	—
1532	C₄²	—	26	1	no	—
1533	C₄²	—	26	1	no	—
1534	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1535	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1536	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1537	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1538	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1539	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1540	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1541	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1542	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1543	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1544	C₁₃	#61442	1	1	yes	characteristic, complemented, Sylow
1545	C₂³	—	2	1	no	—
1546	C₂³	—	2	1	no	—
1547	C₂³	—	4	2	no	—
1548	C₂³	—	4	2	no	—
1549	C₂³	—	8	1	no	—
1550	C₂³	—	26	1	no	—
1551	C₂³	—	26	1	no	—
1552	C₂³	—	52	2	no	—
1553	C₂³	—	52	2	no	—
1554	C₂³	—	104	1	no	—
1555	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1556	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1557	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1558	Q₈	—	2	1	no	—
1559	Q₈	—	2	1	no	—
1560	Q₈	—	2	1	no	—
1561	Q₈	—	2	1	no	—
1562	Q₈	—	4	1	no	—
1563	Q₈	—	8	1	no	—
1564	Q₈	—	26	1	no	—
1565	Q₈	—	26	1	no	—
1566	Q₈	—	26	1	no	—
1567	Q₈	—	26	1	no	—
1568	Q₈	—	104	1	no	—
1569	D₄	—	2	1	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	2	1	no	—
1572	D₄	—	4	1	no	—
1573	D₄	—	4	1	no	—
1574	D₄	—	4	1	no	—
1575	D₄	—	4	2	no	—
1576	D₄	—	4	2	no	—
1577	D₄	—	4	2	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	8	1	no	—
1580	D₄	—	13	2	no	—
1581	D₄	—	26	1	no	—
1582	D₄	—	26	1	no	—
1583	D₄	—	26	1	no	—
1584	D₄	—	52	2	no	—
1585	D₄	—	52	2	no	—
1586	D₄	—	52	2	no	—
1587	D₄	—	104	1	no	—
1588	D₄	—	104	1	no	—
1589	D₄	#41×D₁₃	1	2	yes	—
1590	C₂×C₄	—	2	2	no	—
1591	C₂×C₄	—	2	2	no	—
1592	C₂×C₄	—	2	2	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	4	1	no	—
1606	C₂×C₄	—	4	1	no	—
1607	C₂×C₄	—	4	1	no	—
1608	C₂×C₄	—	4	2	no	—
1609	C₂×C₄	—	4	2	no	—
1610	C₂×C₄	—	4	2	no	—
1611	C₂×C₄	—	4	2	no	—
1612	C₂×C₄	—	4	2	no	—
1613	C₂×C₄	—	4	2	no	—
1614	C₂×C₄	—	4	2	no	—
1615	C₂×C₄	—	8	1	no	—
1616	C₂×C₄	—	8	1	no	—
1617	C₂×C₄	—	26	1	no	—
1618	C₂×C₄	—	26	1	no	—
1619	C₂×C₄	—	26	1	no	—
1620	C₂×C₄	—	26	1	no	—
1621	C₂×C₄	—	26	1	no	—
1622	C₂×C₄	—	26	1	no	—
1623	C₂×C₄	—	52	2	no	—
1624	C₂×C₄	—	52	2	no	—
1625	C₂×C₄	—	52	2	no	—
1626	C₂×C₄	—	52	2	no	—
1627	C₂×C₄	—	52	2	no	—
1628	C₂×C₄	—	52	2	no	—
1629	C₂×C₄	—	52	2	no	—
1630	C₂×C₄	—	104	1	no	—
1631	C₂×C₄	—	104	1	no	—
1632	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1633	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1634	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1635	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1636	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1637	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1638	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1639	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1640	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1641	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1642	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1643	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1644	C₈	—	13	2	no	—
1645	C₈	—	26	1	no	—
1646	C₈	—	26	1	no	—
1647	C₈	—	26	1	no	—
1648	C₈	—	26	1	no	—
1649	C₈	—	26	1	no	—
1650	C₈	—	26	1	no	—
1651	C₈	—	26	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	2	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	1	no	—
1661	C₂²	—	2	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	8	4	no	—
1668	C₂²	—	26	2	no	—
1669	C₂²	—	52	1	no	—
1670	C₂²	—	52	1	no	—
1671	C₂²	—	52	1	no	—
1672	C₂²	—	52	1	no	—
1673	C₂²	—	52	1	no	—
1674	C₂²	—	104	4	no	—
1675	C₂²	C₂³×C₂²⋊D₁₃	1	1	yes	characteristic
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	52	1	no	—
1693	C₄	—	52	1	no	—
1694	C₄	—	52	1	no	—
1695	C₄	—	52	1	no	—
1696	C₄	—	52	1	no	—
1697	C₄	—	52	1	no	—
1698	C₄	#11719527	1	2	yes	—
1699	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1700	C₄	#11719648	1	1	yes	characteristic
1701	C₂	—	4	1	no	—
1702	C₂	—	4	1	no	—
1703	C₂	—	4	1	no	—
1704	C₂	—	4	2	no	—
1705	C₂	—	8	1	no	—
1706	C₂	—	52	2	no	—
1707	C₂	—	104	1	no	—
1708	C₂	#41×C₂²⋊D₁₃	1	1	yes	characteristic
1709	C₂	C₂×#11719527	1	1	yes	characteristic
1710	C₂	#13129607	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×C₂²⋊D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3475	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3475	D₁₃
hypocenter	C₁₃	#61442
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₄×#41 ◁ #3475

Complements

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

N	H ≅ G/N	type
1. #13128400	C₂	semidirect
2. #13127911	C₂	semidirect
3. #13127790	C₂	semidirect
4. #13127663	C₂	semidirect
5. #13127657	C₂	semidirect
6. #13127405	C₂	semidirect
7. #13127351	C₂	semidirect
8. #13127345	C₂	semidirect
9. #13127052	C₂	semidirect
10. #13127046	C₂	semidirect
11. #13126992	C₂	semidirect
12. #13126986	C₂	semidirect
13. #13126932	C₂	semidirect
14. #13126926	C₂	semidirect
15. #13126443	C₂	semidirect
16. #13126362	C₂	semidirect
17. #13126357	C₂	semidirect
18. #13125443	C₂	semidirect
19. #13125436	C₂	semidirect
20. #13125400	C₂	semidirect
21. #13124907	C₂	semidirect
22. #13124901	C₂	semidirect
23. #13124883	C₂	semidirect
24. #13124879	C₂	semidirect
25. #13124854	C₂	semidirect
26. #13124848	C₂	semidirect
27. #13123803	C₂	semidirect
28. C₄×#88186	C₂	semidirect
29. C₄×#88203	C₂	semidirect
30. C₄×#88204	C₂	semidirect
31. C₁₃×#3475	C₂	semidirect
32. C₁₃×#556	C₂²	semidirect
34. C₁₃×#554	C₂²	semidirect
38. C₁₃×#552	C₂²	semidirect
43. C₁₃×#546	C₂²	semidirect
44. C₁₃×#533	C₂²	semidirect
48. C₁₃×#529	C₂²	semidirect
52. C₄×C₁₃×#41	C₂²	semidirect
53. C₂×C₄×D₄×C₁₃	C₂²	semidirect
59. #11719289	C₂²	semidirect
61. #11719284	C₂²	semidirect
68. #11719255	C₂²	semidirect
70. #11719246	C₂²	semidirect
75. #11719184	C₂²	semidirect
77. C₄×#6127	C₂²	semidirect
78. C₂×C₄×D₅₂	C₂²	semidirect
79. #11719175	C₂²	semidirect
82. #11718900	C₂²	semidirect
84. #11718894	C₂²	semidirect
86. #11718879	C₂²	semidirect
88. #11718876	C₂²	semidirect
89. #11718755	C₂²	semidirect
90. #11718751	C₂²	semidirect
91. #11718750	C₂²	semidirect
92. #11718748	C₂²	semidirect
93. #11718747	C₂²	semidirect
94. #11718744	C₂²	semidirect
95. #11718743	C₂²	semidirect
96. #11718741	C₂²	semidirect
97. #11718730	C₂²	semidirect
98. #11718729	C₂²	semidirect
99. #11718727	C₂²	semidirect
100. #11718727	C₂²	semidirect
101. #11718727	C₂²	semidirect
102. #11718726	C₂²	semidirect
103. #11718725	C₂²	semidirect
104. #11718724	C₂²	semidirect
105. #11718721	C₂²	semidirect
110. #11718717	C₂²	semidirect
111. #11718716	C₂²	semidirect
112. #11718715	C₂²	semidirect
113. #11718713	C₂²	semidirect
114. #11718713	C₂²	semidirect
115. #11718713	C₂²	semidirect
116. #11718713	C₂²	semidirect
117. #11718712	C₂²	semidirect
120. #11718709	C₂²	semidirect
123. #11718708	C₂²	semidirect
124. #11718707	C₂²	semidirect
125. #11718706	C₂²	semidirect
126. #11718706	C₂²	semidirect
127. #11718706	C₂²	semidirect
128. #11718705	C₂²	semidirect
131. #11718702	C₂²	semidirect
135. #11718696	C₂²	semidirect
137. #11718692	C₂²	semidirect
138. C₄×#6107	C₂²	semidirect
139. C₄×#6107	C₂²	semidirect
140. C₄×#6107	C₂²	semidirect
141. C₄×#6107	C₂²	semidirect
142. C₄×#6107	C₂²	semidirect
143. #11718689	C₂²	semidirect
144. #11718687	C₂²	semidirect
145. #11718687	C₂²	semidirect
146. C₄×#6106	C₂²	semidirect
147. C₄×#6106	C₂²	semidirect
148. C₄×#6106	C₂²	semidirect
149. C₄×#6106	C₂²	semidirect
150. C₄×#6106	C₂²	semidirect
151. #11718685	C₂²	semidirect
152. #11718685	C₂²	semidirect
153. #11718683	C₂²	semidirect
154. #11718681	C₂²	semidirect
155. #11718680	C₂²	semidirect
156. #11718679	C₂²	semidirect
157. #11718679	C₂²	semidirect
158. C₄×#6105	C₂²	semidirect
159. C₄×#6105	C₂²	semidirect
160. C₄×#6105	C₂²	semidirect
161. C₄×#6105	C₂²	semidirect
162. C₄×#6105	C₂²	semidirect
177. #11718672	C₂²	semidirect
178. #11718672	C₂²	semidirect
179. #11718672	C₂²	semidirect
180. #11718672	C₂²	semidirect
181. #11718670	C₂²	semidirect
182. #11718670	C₂²	semidirect
183. #11718670	C₂²	semidirect
184. #11718668	C₂²	semidirect
185. #11718664	C₂²	semidirect
186. #11718663	C₂²	semidirect
187. #11718662	C₂²	semidirect
188. #11718659	C₂²	semidirect
189. #11718657	C₂²	semidirect
190. #11718657	C₂²	semidirect
191. #11718657	C₂²	semidirect
192. #11718656	C₂²	semidirect
193. #11718631	C₂²	semidirect
196. #11718625	C₂²	semidirect
197. #11718586	C₂²	semidirect
198. #11718586	C₂²	semidirect
199. #11718586	C₂²	semidirect
200. C₄×#6099	C₂²	semidirect
201. C₄×#6099	C₂²	semidirect
202. C₂×C₄×#1055	C₂²	semidirect
637. #6104	#41	semidirect
691. #3475	D₁₃	semidirect
832. #556	C₂×D₁₃	semidirect
836. #554	C₂×D₁₃	semidirect
844. #552	C₂×D₁₃	semidirect
854. #546	C₂×D₁₃	semidirect
856. #533	C₂×D₁₃	semidirect
864. #529	C₂×D₁₃	semidirect
871. C₄×#41	C₂×D₁₃	semidirect
873. C₂×C₄×D₄	C₂×D₁₃	semidirect
1544. C₁₃	#61442	semidirect

Maximal subgroups

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

subgroup	index
#13128400	2
#13127911	2
#13127790	2
#13127663	2
#13127657	2
#13127405	2
#13127351	2
#13127345	2
#13127052	2
#13127046	2
#13126992	2
#13126986	2
#13126932	2
#13126926	2
#13126443	2
#13126362	2
#13126357	2
#13125443	2
#13125436	2
#13125400	2
#13124907	2
#13124901	2
#13124883	2
#13124879	2
#13124854	2
#13124848	2
#13123803	2
C₄×#88186	2
C₄×#88203	2
C₄×#88204	2
C₁₃×#3475	2
#61442	13