Subgroups — #16744884

Order 3328.

1888 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128442	C₂	1	1	yes	maximal, characteristic
2	Q₈×#6127	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127892	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127749	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127645	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127620	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127328	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127319	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127223	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127011	C₂	1	1	yes	maximal, characteristic, complemented
11	#13127004	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126924	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126915	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126705	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126658	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126525	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126341	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126339	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125551	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125546	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125543	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125011	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124996	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124956	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124936	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124933	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123845	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123652	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11718687	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#440	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3117	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#529	C₂²	1	1	yes	characteristic
33	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
34	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
35	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#6106	C₂²	1	1	yes	characteristic
37	C₂×#88172	C₂²	1	1	yes	characteristic
38	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
39	#11719414	—	2	1	no	—
40	#11719410	—	2	1	no	—
41	#11719400	C₂²	1	1	yes	characteristic
42	#11719395	C₂²	1	1	yes	characteristic
43	#11719386	C₂²	1	1	yes	characteristic
44	#11719381	C₂²	1	1	yes	characteristic
45	#11719363	—	2	1	no	—
46	#11719359	—	2	1	no	—
47	#11719340	C₂²	1	1	yes	characteristic
48	#11719335	C₂²	1	1	yes	characteristic
49	#11719323	C₂²	1	1	yes	characteristic
50	#11719314	C₂²	1	1	yes	characteristic
51	#11719285	C₂²	1	1	yes	characteristic
52	#11719284	—	2	1	no	—
53	#11719284	C₂²	1	1	yes	characteristic, complemented
54	#11719283	—	2	1	no	—
55	#11719283	—	2	1	no	—
56	#11719283	C₂²	1	1	yes	characteristic, complemented
57	#11719283	C₂²	1	1	yes	characteristic, complemented
58	Q₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
59	C₄×#6131	C₂²	1	1	yes	characteristic
60	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
61	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
62	#11719272	—	2	1	no	—
63	#11719272	C₂²	1	1	yes	characteristic, complemented
64	Q₈×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
65	#11719253	C₂²	1	1	yes	characteristic
66	#11719252	—	2	1	no	—
67	C₄×D₄×D₁₃	—	2	1	no	—
68	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
69	#11719233	—	2	1	no	—
70	#11719229	—	2	1	no	—
71	#11719216	—	2	1	no	—
72	#11719216	—	2	1	no	—
73	#11719216	C₂²	1	1	yes	characteristic
74	#11719216	C₂²	1	1	yes	characteristic, complemented
75	C₄×#6127	—	2	1	no	—
76	C₄×#6127	C₂²	1	1	yes	characteristic
77	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
78	#11719175	—	2	1	no	—
79	#11719175	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#481	C₂²	1	1	yes	characteristic
82	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#448	C₂²	1	1	yes	characteristic
88	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
93	C₂×#88075	C₂²	1	1	yes	characteristic, complemented
94	#11718851	C₂²	1	1	yes	characteristic, complemented
95	#11718849	C₂²	1	1	yes	characteristic, complemented
96	#11718848	C₂²	1	1	yes	characteristic
97	#11718847	C₂²	1	1	yes	characteristic, complemented
98	#11718846	C₂²	1	1	yes	characteristic, complemented
99	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
100	#11718843	C₂²	1	1	yes	characteristic, complemented
101	#11718836	C₂²	1	1	yes	characteristic
102	#11718835	C₂²	1	1	yes	characteristic, complemented
103	#11718831	C₂²	1	1	yes	characteristic, complemented
104	#11718830	C₂²	1	1	yes	characteristic
105	#11718825	C₂²	1	1	yes	characteristic, complemented
106	#11718824	C₂²	1	1	yes	characteristic
107	#11718823	C₂²	1	1	yes	characteristic, complemented
108	#11718730	C₂²	1	1	yes	characteristic, complemented
109	#11718726	C₂²	1	1	yes	characteristic, complemented
110	#11718721	C₂²	1	1	yes	characteristic, complemented
111	#11718716	C₂²	1	1	yes	characteristic, complemented
112	#11718712	C₂²	1	1	yes	characteristic, complemented
113	#11718712	C₂²	1	1	yes	characteristic, complemented
114	#11718702	C₂²	1	1	yes	characteristic
115	#11718702	C₂²	1	1	yes	characteristic
116	#11718691	C₂²	1	1	yes	characteristic, complemented
117	#11718691	C₂²	1	1	yes	characteristic, complemented
118	#11718687	C₂²	1	1	yes	characteristic
119	#11718687	C₂²	1	1	yes	characteristic
120	#11718687	C₂²	1	1	yes	characteristic
121	#11718687	C₂²	1	1	yes	characteristic
122	#11718687	C₂²	1	1	yes	characteristic, complemented
123	#11718687	C₂²	1	1	yes	characteristic, complemented
124	#11718687	C₂²	1	1	yes	characteristic, complemented
125	#11718687	C₂²	1	1	yes	characteristic, complemented
126	#11718679	C₂²	1	1	yes	characteristic, complemented
127	#11718679	C₂²	1	1	yes	characteristic, complemented
128	C₂×#88049	C₂²	1	1	yes	characteristic
129	C₂×#88047	C₂²	1	1	yes	characteristic, complemented
130	C₂×#88043	C₂²	1	1	yes	characteristic, complemented
131	#11718551	C₂²	1	1	yes	characteristic
132	#11718550	C₂²	1	1	yes	characteristic
133	#11718547	C₂²	1	1	yes	characteristic, complemented
134	#11718545	C₂²	1	1	yes	characteristic, complemented
135	#11718543	C₂²	1	1	yes	characteristic, complemented
136	D₁₃×#107	C₂²	1	1	yes	characteristic, complemented
137	#11718536	C₂²	1	1	yes	characteristic, complemented
138	#11718535	C₂²	1	1	yes	characteristic, complemented
139	#11718531	C₂²	1	1	yes	characteristic
140	#11718528	C₂²	1	1	yes	characteristic, complemented
141	#11718525	C₂²	1	1	yes	characteristic
142	#11718524	C₂²	1	1	yes	characteristic
143	#11718522	C₂²	1	1	yes	characteristic, complemented
144	#11718518	C₂²	1	1	yes	characteristic, complemented
145	#11718517	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic
147	#11718507	C₂²	1	1	yes	characteristic
148	#11718507	C₂²	1	1	yes	characteristic, complemented
149	#11718502	C₂²	1	1	yes	characteristic
150	#11718502	C₂²	1	1	yes	characteristic, complemented
151	#11718497	C₂²	1	1	yes	characteristic, complemented
152	#11718497	C₂²	1	1	yes	characteristic, complemented
153	#11718489	C₂²	1	1	yes	characteristic, complemented
154	#11718489	C₂²	1	1	yes	characteristic, complemented
155	#11718479	C₂²	1	1	yes	characteristic
156	#11718479	C₂²	1	1	yes	characteristic
157	#11718478	C₂²	1	1	yes	characteristic
158	#11718475	C₂²	1	1	yes	characteristic, complemented
159	#11718474	C₂²	1	1	yes	characteristic, complemented
160	#11718473	C₂²	1	1	yes	characteristic, complemented
161	#11718471	C₂²	1	1	yes	characteristic
162	#11718470	C₂²	1	1	yes	characteristic, complemented
163	#11718470	C₂²	1	1	yes	characteristic, complemented
164	#11718468	C₂²	1	1	yes	characteristic
165	#11718467	C₂²	1	1	yes	characteristic
166	#11718467	C₂²	1	1	yes	characteristic, complemented
167	#11718464	C₂²	1	1	yes	characteristic
168	#11718463	C₂²	1	1	yes	characteristic, complemented
169	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
170	#11718459	C₂²	1	1	yes	characteristic, complemented
171	#11718458	C₂²	1	1	yes	characteristic, complemented
172	#11718457	C₂²	1	1	yes	characteristic, complemented
173	#11718456	C₂²	1	1	yes	characteristic, complemented
174	#11718455	C₂²	1	1	yes	characteristic, complemented
175	#11718455	C₂²	1	1	yes	characteristic, complemented
176	#11718453	C₂²	1	1	yes	characteristic, complemented
177	#11718451	C₂²	1	1	yes	characteristic, complemented
178	#11718449	C₂²	1	1	yes	characteristic
179	#11718441	C₂²	1	1	yes	characteristic, complemented
180	#11718437	C₂²	1	1	yes	characteristic
181	#11718435	C₂²	1	1	yes	characteristic, complemented
182	D₁₃×#102	C₂²	1	1	yes	characteristic
183	#11718423	C₂²	1	1	yes	characteristic
184	#11718421	C₂²	1	1	yes	characteristic
185	#11718420	C₂²	1	1	yes	characteristic, complemented
186	#11718418	C₂²	1	1	yes	characteristic, complemented
187	#11718392	C₂²	1	1	yes	characteristic
188	#11718392	C₂²	1	1	yes	characteristic
189	#11718391	C₂²	1	1	yes	characteristic, complemented
190	#11718391	C₂²	1	1	yes	characteristic, complemented
191	#11718386	C₂²	1	1	yes	characteristic
192	#11718386	C₂²	1	1	yes	characteristic
193	#11718383	C₂²	1	1	yes	characteristic, complemented
194	#11718383	C₂²	1	1	yes	characteristic, complemented
195	#11718371	C₂²	1	1	yes	characteristic
196	#11718371	C₂²	1	1	yes	characteristic
197	#11718371	C₂²	1	1	yes	characteristic, complemented
198	#11718371	C₂²	1	1	yes	characteristic, complemented
199	#11718368	C₂²	1	1	yes	characteristic, complemented
200	#11718366	C₂²	1	1	yes	characteristic, complemented
201	#11718366	C₂²	1	1	yes	characteristic, complemented
202	D₁₃×#97	C₂²	1	1	yes	characteristic, complemented
203	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
204	C₂×#6131	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
207	C₂×D₄×D₁₃	—	2	1	no	—
208	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂×#6127	—	2	1	no	—
210	C₂×#6127	D₄	1	1	yes	characteristic
211	C₂²×D₅₂	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₁₃	—	2	1	no	—
213	C₂²×C₄×D₁₃	—	2	1	no	—
214	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
218	C₁₃×#126	—	2	1	no	—
219	C₁₃×#125	C₂³	1	1	yes	characteristic
220	C₁₃×#124	C₂³	1	1	yes	characteristic
221	C₁₃×#123	—	2	1	no	—
222	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₁₃×#121	C₂³	1	1	yes	characteristic
224	C₄×Q₈×C₁₃	—	2	1	no	—
225	C₄×Q₈×C₁₃	—	2	1	no	—
226	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
229	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
231	C₄×D₄×C₁₃	—	2	1	no	—
232	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
233	C₁₃×#117	—	2	1	no	—
234	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
235	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₄²×C₁₃	—	2	1	no	—
237	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
238	#88201	C₂³	1	1	yes	characteristic
239	#88200	—	2	1	no	—
240	#88200	—	2	1	no	—
241	#88200	C₂³	1	1	yes	characteristic
242	#88200	C₂³	1	1	yes	characteristic
243	#88200	C₂³	1	1	yes	characteristic
244	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
245	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
246	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
247	#88198	—	2	1	no	—
248	#88198	—	2	1	no	—
249	#88198	C₂³	1	1	yes	characteristic
250	#88198	C₂³	1	1	yes	characteristic
251	C₂×#6107	C₂³	1	1	yes	characteristic
252	C₂×#6107	C₂³	1	1	yes	characteristic
253	C₂×#6106	—	2	4	no	—
254	C₂×#6106	C₂³	1	1	yes	characteristic
255	C₂×#6106	C₂³	1	1	yes	characteristic
256	C₂×#6106	C₂³	1	1	yes	characteristic
257	C₂×#6106	C₂³	1	1	yes	characteristic
258	#88194	C₂³	1	1	yes	characteristic
259	#88193	—	2	1	no	—
260	#88192	C₂³	1	1	yes	characteristic
261	#88191	—	2	1	no	—
262	D₄×Dic₁₃	—	2	1	no	—
263	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
264	C₂×#6105	C₂³	1	1	yes	characteristic
265	C₂×#6105	C₂³	1	1	yes	characteristic
266	C₄×C₂²⋊D₁₃	—	2	1	no	—
267	C₄×C₂²⋊D₁₃	—	2	1	no	—
268	C₄×C₂²⋊D₁₃	—	2	1	no	—
269	C₄×C₂²⋊D₁₃	—	2	1	no	—
270	C₄×C₂²⋊D₁₃	—	2	1	no	—
271	C₄×C₂²⋊D₁₃	—	2	1	no	—
272	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
273	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
274	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
275	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
276	C₂×#6103	—	2	1	no	—
277	#88180	—	2	1	no	—
278	#88180	D₄	1	1	yes	characteristic
279	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
280	#88178	—	2	1	no	—
281	#88178	—	2	1	no	—
282	#88178	—	2	1	no	—
283	#88178	—	2	1	no	—
284	#88178	—	2	1	no	—
285	#88178	C₂³	1	1	yes	characteristic
286	#88178	C₂³	1	1	yes	characteristic
287	C₂²×#1055	C₂³	1	1	yes	characteristic
288	C₂²×#1055	C₂³	1	1	yes	characteristic
289	#88172	—	2	4	no	—
290	SD₁₆×D₁₃	—	2	4	no	—
291	C₂×#6095	C₂³	1	1	yes	characteristic
292	C₂×#6095	C₂³	1	1	yes	characteristic
293	C₂×#6095	C₂³	1	1	yes	characteristic
294	C₂×#6095	C₂³	1	1	yes	characteristic
295	C₂×#6094	C₂³	1	1	yes	characteristic
296	C₂×#6094	C₂³	1	1	yes	characteristic
297	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
299	#88152	—	2	1	no	—
300	#88152	—	2	1	no	—
301	#88151	—	2	1	no	—
302	#88151	—	2	1	no	—
303	#88151	—	2	1	no	—
304	#88151	—	2	1	no	—
305	#88151	C₂³	1	1	yes	characteristic
306	#88151	C₂³	1	1	yes	characteristic
307	#88150	—	2	1	no	—
308	#88150	—	2	1	no	—
309	#88150	—	2	1	no	—
310	#88150	—	2	1	no	—
311	#88150	—	2	1	no	—
312	#88150	—	2	1	no	—
313	#88150	—	2	1	no	—
314	#88150	—	2	1	no	—
315	#88149	—	2	1	no	—
316	#88149	—	2	1	no	—
317	#88149	C₂³	1	1	yes	characteristic
318	#88149	C₂³	1	1	yes	characteristic
319	#88148	—	2	1	no	—
320	#88148	—	2	1	no	—
321	#88148	—	2	1	no	—
322	#88147	—	2	1	no	—
323	#88147	—	2	1	no	—
324	#88147	C₂³	1	1	yes	characteristic
325	#88147	C₂³	1	1	yes	characteristic
326	#88146	—	2	1	no	—
327	#88146	C₂³	1	1	yes	characteristic
328	C₄⋊C₄×D₁₃	—	2	1	no	—
329	C₄⋊C₄×D₁₃	—	2	1	no	—
330	C₄⋊C₄×D₁₃	—	2	1	no	—
331	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
332	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
333	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
334	#88144	C₂³	1	1	yes	characteristic
335	#88143	—	2	1	no	—
336	#88143	—	2	1	no	—
337	#88143	—	2	1	no	—
338	#88143	—	2	1	no	—
339	#88143	—	2	1	no	—
340	#88143	—	2	1	no	—
341	#88143	—	2	1	no	—
342	#88142	—	2	1	no	—
343	#88142	—	2	1	no	—
344	#88142	C₂³	1	1	yes	characteristic
345	#88142	C₂³	1	1	yes	characteristic
346	#88142	C₂³	1	1	yes	characteristic
347	#88141	—	2	1	no	—
348	#88141	—	2	1	no	—
349	#88141	C₂³	1	1	yes	characteristic
350	#88141	C₂³	1	1	yes	characteristic
351	#88140	—	2	1	no	—
352	#88140	—	2	1	no	—
353	#88139	—	2	1	no	—
354	#88139	—	2	1	no	—
355	#88138	—	2	1	no	—
356	#88138	—	2	1	no	—
357	#88138	—	2	1	no	—
358	#88137	—	2	1	no	—
359	#88137	—	2	1	no	—
360	#88136	—	2	1	no	—
361	#88136	—	2	1	no	—
362	#88136	—	2	1	no	—
363	#88135	—	2	1	no	—
364	#88135	—	2	1	no	—
365	#88135	—	2	1	no	—
366	C₂²⋊C₄×D₁₃	—	2	1	no	—
367	C₂²⋊C₄×D₁₃	—	2	1	no	—
368	C₂²⋊C₄×D₁₃	—	2	1	no	—
369	#88133	—	2	1	no	—
370	#88132	—	2	1	no	—
371	C₄×D₅₂	—	2	1	no	—
372	C₄×D₅₂	—	2	1	no	—
373	C₄×D₅₂	—	2	1	no	—
374	C₄×D₅₂	—	2	1	no	—
375	C₄×D₅₂	—	2	1	no	—
376	C₄×D₅₂	—	2	1	no	—
377	C₄×D₅₂	D₄	1	1	yes	characteristic
378	C₄×D₅₂	C₂³	1	1	yes	characteristic
379	C₄×D₅₂	C₂³	1	1	yes	characteristic
380	C₄×D₅₂	C₂³	1	1	yes	characteristic
381	C₄×D₅₂	C₂³	1	1	yes	characteristic
382	C₄×D₅₂	C₂³	1	1	yes	characteristic
383	#88126	—	2	1	no	—
384	#88126	—	2	1	no	—
385	#88126	—	2	1	no	—
386	#88126	D₄	1	1	yes	characteristic
387	#88126	D₄	1	1	yes	characteristic
388	C₄²×D₁₃	—	2	1	no	—
389	C₄²×D₁₃	—	2	1	no	—
390	C₄²×D₁₃	—	2	1	no	—
391	C₄²×D₁₃	C₂³	1	1	yes	characteristic
392	C₄²×D₁₃	C₂³	1	1	yes	characteristic
393	#88124	—	2	1	no	—
394	#88124	—	2	1	no	—
395	#88124	—	2	1	no	—
396	#88123	—	2	1	no	—
397	#88123	—	2	1	no	—
398	#88123	C₂³	1	1	yes	characteristic
399	#88123	C₂³	1	1	yes	characteristic
400	C₄×Dic₂₆	—	2	1	no	—
401	C₄×Dic₂₆	—	2	1	no	—
402	C₄×Dic₂₆	—	2	1	no	—
403	C₄×Dic₂₆	—	2	1	no	—
404	C₄×Dic₂₆	—	2	1	no	—
405	C₄×Dic₂₆	—	2	1	no	—
406	C₄×Dic₂₆	—	2	1	no	—
407	C₄×Dic₂₆	D₄	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	C₁₃×#107	C₂³	1	1	yes	characteristic
412	C₁₃×#107	C₂³	1	1	yes	characteristic
413	C₁₃×#106	C₂³	1	1	yes	characteristic
414	C₁₃×#106	C₂³	1	1	yes	characteristic
415	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
416	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₁₃×#103	C₂³	1	1	yes	characteristic
418	C₁₃×#103	C₂³	1	1	yes	characteristic
419	C₁₃×#103	C₂³	1	1	yes	characteristic
420	C₁₃×#103	C₂³	1	1	yes	characteristic
421	C₁₃×#103	C₂³	1	1	yes	characteristic
422	C₁₃×#103	C₂³	1	1	yes	characteristic
423	C₁₃×#102	C₂³	1	1	yes	characteristic
424	C₁₃×#102	C₂³	1	1	yes	characteristic
425	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
426	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₃×#97	C₂³	1	1	yes	characteristic
428	C₁₃×#97	C₂³	1	1	yes	characteristic
429	#88075	C₂³	1	1	yes	characteristic
430	#88075	C₂³	1	1	yes	characteristic
431	#88075	C₂³	1	1	yes	characteristic
432	#88075	C₂³	1	1	yes	characteristic
433	#88075	C₂³	1	1	yes	characteristic
434	#88075	C₂³	1	1	yes	characteristic
435	#88072	C₂³	1	1	yes	characteristic
436	#88072	C₂³	1	1	yes	characteristic
437	#88061	C₂³	1	1	yes	characteristic
438	#88061	C₂³	1	1	yes	characteristic
439	#88061	C₂³	1	1	yes	characteristic
440	#88061	C₂³	1	1	yes	characteristic
441	#88060	C₂³	1	1	yes	characteristic
442	#88060	C₂³	1	1	yes	characteristic
443	#88060	C₂³	1	1	yes	characteristic
444	#88060	C₂³	1	1	yes	characteristic
445	#88058	C₂³	1	1	yes	characteristic
446	#88058	C₂³	1	1	yes	characteristic
447	#88058	C₂³	1	1	yes	characteristic
448	#88058	C₂³	1	1	yes	characteristic
449	#88056	C₂³	1	1	yes	characteristic
450	#88056	C₂³	1	1	yes	characteristic
451	#88056	C₂³	1	1	yes	characteristic
452	#88056	C₂³	1	1	yes	characteristic
453	#88055	C₂³	1	1	yes	characteristic
454	#88055	C₂³	1	1	yes	characteristic
455	#88054	C₂³	1	1	yes	characteristic
456	#88054	C₂³	1	1	yes	characteristic
457	#88054	C₂³	1	1	yes	characteristic
458	#88054	C₂³	1	1	yes	characteristic
459	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
460	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
461	#88050	C₂³	1	1	yes	characteristic
462	#88050	C₂³	1	1	yes	characteristic
463	#88050	C₂³	1	1	yes	characteristic
464	#88050	C₂³	1	1	yes	characteristic
465	#88049	C₂³	1	1	yes	characteristic
466	#88049	C₂³	1	1	yes	characteristic
467	#88049	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88048	C₂³	1	1	yes	characteristic
470	#88048	C₂³	1	1	yes	characteristic
471	#88047	C₂³	1	1	yes	characteristic
472	#88047	C₂³	1	1	yes	characteristic
473	#88047	C₂³	1	1	yes	characteristic
474	#88047	C₂³	1	1	yes	characteristic
475	#88047	C₂³	1	1	yes	characteristic
476	#88047	C₂³	1	1	yes	characteristic
477	#88043	C₂³	1	1	yes	characteristic
478	#88043	C₂³	1	1	yes	characteristic
479	#88043	C₂³	1	1	yes	characteristic
480	#88043	C₂³	1	1	yes	characteristic
481	#61453	—	13	1	no	maximal, Sylow
482	C₂³×D₁₃	—	2	1	no	—
483	C₂³×D₁₃	—	2	1	no	—
484	C₂×Q₈×C₁₃	—	2	1	no	—
485	C₂×Q₈×C₁₃	—	2	2	no	—
486	C₂×Q₈×C₁₃	—	4	1	no	—
487	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
488	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
489	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
490	C₂×D₄×C₁₃	—	2	1	no	—
491	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
492	C₂²×C₄×C₁₃	—	2	1	no	—
493	C₂²×C₄×C₁₃	—	2	1	no	—
494	C₂²×C₄×C₁₃	—	2	1	no	—
495	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
496	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
497	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×C₂²⋊D₁₃	—	2	1	no	—
499	C₂×C₂²⋊D₁₃	—	2	1	no	—
500	C₂×C₂²⋊D₁₃	—	2	1	no	—
501	C₂×C₂²⋊D₁₃	—	2	1	no	—
502	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
503	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
504	C₂²×Dic₁₃	—	2	1	no	—
505	C₂²×Dic₁₃	—	2	1	no	—
506	#6131	—	2	2	no	—
507	#6131	—	4	1	no	—
508	Q₈×D₁₃	—	2	2	no	—
509	Q₈×D₁₃	—	2	2	no	—
510	Q₈×D₁₃	—	4	1	no	—
511	Q₈×D₁₃	—	4	1	no	—
512	D₄×D₁₃	—	2	2	no	—
513	D₄×D₁₃	—	4	1	no	—
514	D₄×D₁₃	—	4	4	no	—
515	#6127	—	2	4	no	—
516	#6127	—	8	2	no	—
517	C₂×D₅₂	—	2	2	no	—
518	C₂×D₅₂	—	2	1	no	—
519	C₂×D₅₂	—	2	1	no	—
520	C₂×D₅₂	—	2	1	no	—
521	C₂×D₅₂	—	2	1	no	—
522	C₂×D₅₂	—	4	1	no	—
523	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
524	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
525	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
526	C₂×C₄×D₁₃	—	2	1	no	—
527	C₂×C₄×D₁₃	—	2	1	no	—
528	C₂×C₄×D₁₃	—	2	1	no	—
529	C₂×C₄×D₁₃	—	2	1	no	—
530	C₂×C₄×D₁₃	—	2	1	no	—
531	C₂×C₄×D₁₃	—	2	1	no	—
532	C₂×C₄×D₁₃	—	2	1	no	—
533	C₂×C₄×D₁₃	—	2	1	no	—
534	C₂×C₄×D₁₃	—	2	1	no	—
535	C₂×C₄×D₁₃	—	2	1	no	—
536	C₂×C₄×D₁₃	—	2	1	no	—
537	C₂×C₄×D₁₃	—	2	1	no	—
538	C₂×C₄×D₁₃	—	8	2	no	—
539	C₂×C₄×D₁₃	—	8	2	no	—
540	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
541	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
542	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
543	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
544	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
545	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
546	C₂×Dic₂₆	—	2	1	no	—
547	C₂×Dic₂₆	—	2	1	no	—
548	C₂×Dic₂₆	—	2	1	no	—
549	C₂×Dic₂₆	—	2	1	no	—
550	C₂×Dic₂₆	—	2	1	no	—
551	C₂×Dic₂₆	—	2	1	no	—
552	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
553	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
554	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
555	C₁₃×Q₁₆	—	2	2	no	—
556	C₁₃×Q₁₆	—	4	1	no	—
557	C₁₃×SD₁₆	—	2	2	no	—
558	C₁₃×SD₁₆	—	4	1	no	—
559	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
560	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
561	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
562	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
567	C₁₃×C₄⋊C₄	—	2	1	no	—
568	C₁₃×C₄⋊C₄	—	2	1	no	—
569	C₁₃×C₄⋊C₄	—	2	1	no	—
570	C₁₃×C₄⋊C₄	—	2	1	no	—
571	C₁₃×C₄⋊C₄	—	2	1	no	—
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	C₄²×C₁₃	—	2	1	no	—
582	C₄²×C₁₃	—	2	1	no	—
583	C₄²×C₁₃	—	2	1	no	—
584	C₄²×C₁₃	—	2	1	no	—
585	C₄²×C₁₃	—	2	1	no	—
586	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
587	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
588	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
589	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
590	C₂²⋊Dic₁₃	—	2	1	no	—
591	C₂²⋊Dic₁₃	—	2	1	no	—
592	C₂²⋊Dic₁₃	—	2	1	no	—
593	C₂²⋊Dic₁₃	—	2	1	no	—
594	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
595	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
596	#6107	—	2	2	no	—
597	#6107	—	4	1	no	—
598	#6106	—	2	2	no	—
599	#6106	—	2	2	no	—
600	#6106	—	2	2	no	—
601	#6106	#41	1	4	yes	complemented
602	#6105	—	2	2	no	—
603	#6105	—	4	1	no	—
604	#6103	—	2	1	no	—
605	#6103	—	2	1	no	—
606	#6103	—	2	1	no	—
607	#6103	—	2	1	no	—
608	#6103	—	2	1	no	—
609	#6103	—	2	1	no	—
610	#6103	—	2	1	no	—
611	#6103	—	2	1	no	—
612	#6103	—	2	1	no	—
613	#6103	—	2	1	no	—
614	#6103	—	2	1	no	—
615	#6103	—	2	1	no	—
616	#6103	—	2	1	no	—
617	#6103	—	2	1	no	—
618	#6103	—	2	1	no	—
619	#6103	—	2	1	no	—
620	#6103	C₂×D₄	1	1	yes	characteristic
621	#6103	C₂×D₄	1	1	yes	characteristic
622	#6103	C₂×D₄	1	1	yes	characteristic
623	#6103	C₂×D₄	1	1	yes	characteristic
624	C₄⋊Dic₁₃	—	2	1	no	—
625	C₄⋊Dic₁₃	—	2	1	no	—
626	C₄⋊Dic₁₃	—	2	1	no	—
627	C₄⋊Dic₁₃	—	2	1	no	—
628	C₄⋊Dic₁₃	—	2	1	no	—
629	C₄⋊Dic₁₃	—	2	1	no	—
630	C₄⋊Dic₁₃	—	2	1	no	—
631	C₄⋊Dic₁₃	—	2	1	no	—
632	C₄⋊Dic₁₃	—	2	1	no	—
633	C₄⋊Dic₁₃	—	2	1	no	—
634	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
635	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
636	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
637	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
638	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
639	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
640	#6101	—	2	1	no	—
641	#6101	—	2	1	no	—
642	#6101	—	2	1	no	—
643	#6101	—	2	1	no	—
644	#6101	—	2	1	no	—
645	#6101	—	2	1	no	—
646	#6101	—	2	1	no	—
647	#6101	—	2	1	no	—
648	#6101	—	2	1	no	—
649	#6101	—	2	1	no	—
650	#6101	—	2	1	no	—
651	#6101	—	2	1	no	—
652	#6101	—	2	1	no	—
653	#6101	—	2	1	no	—
654	#6101	—	2	1	no	—
655	#6101	—	2	1	no	—
656	#6101	—	2	1	no	—
657	#6101	—	2	1	no	—
658	#6101	—	2	1	no	—
659	#6101	—	2	1	no	—
660	#6101	C₂×D₄	1	1	yes	characteristic
661	#6101	C₂×D₄	1	1	yes	characteristic
662	#6101	C₂×D₄	1	1	yes	characteristic
663	#6101	C₂×D₄	1	1	yes	characteristic
664	C₄×Dic₁₃	—	2	1	no	—
665	C₄×Dic₁₃	—	2	1	no	—
666	C₄×Dic₁₃	—	2	1	no	—
667	C₄×Dic₁₃	—	2	1	no	—
668	C₄×Dic₁₃	—	2	1	no	—
669	C₄×Dic₁₃	—	2	1	no	—
670	C₄×Dic₁₃	—	2	1	no	—
671	C₄×Dic₁₃	—	2	1	no	—
672	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
673	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
674	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
675	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
676	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
677	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
678	C₂×#1055	—	2	2	no	—
679	C₂×#1055	—	4	1	no	—
680	C₂×#1055	C₂⁴	1	1	yes	characteristic
681	C₂×#1055	C₂⁴	1	1	yes	characteristic
682	C₂×#1055	C₂⁴	1	1	yes	characteristic
683	C₂×#1055	C₂⁴	1	1	yes	characteristic
684	#6095	—	2	2	no	—
685	#6095	—	2	2	no	—
686	#6095	—	4	1	no	—
687	#6095	—	4	1	no	—
688	#6094	—	2	2	no	—
689	#6094	—	4	1	no	—
690	C₈×D₁₃	—	2	2	no	—
691	C₈×D₁₃	—	4	1	no	—
692	#3481	—	13	1	no	—
693	Q₈×#41	—	13	1	no	—
694	#3400	—	13	1	no	—
695	#3385	—	13	1	no	—
696	#3375	—	13	1	no	—
697	#3372	—	13	1	no	—
698	#3346	—	13	1	no	—
699	#3346	—	13	1	no	—
700	#3338	—	13	1	no	—
701	#3320	—	13	1	no	—
702	#3320	—	13	1	no	—
703	#3314	—	13	1	no	—
704	#3314	—	13	1	no	—
705	#3299	—	13	1	no	—
706	#3295	—	13	1	no	—
707	D₄×SD₁₆	—	13	1	no	—
708	#3266	—	13	1	no	—
709	#3266	—	13	1	no	—
710	#3182	—	13	1	no	—
711	#3181	—	13	1	no	—
712	#3181	—	13	1	no	—
713	#3117	—	13	1	no	—
714	#3117	D₁₃	1	1	yes	characteristic, complemented
715	#3116	—	13	1	no	—
716	#3112	—	13	1	no	—
717	#3110	—	13	1	no	—
718	#3110	—	13	1	no	—
719	#2970	—	13	1	no	—
720	C₄×#137	—	13	1	no	—
721	C₂×#440	—	13	1	no	—
722	C₂×#440	—	13	1	no	—
723	C₂³×C₁₃	—	2	1	no	—
724	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
725	C₂²×D₁₃	—	2	1	no	—
726	C₂²×D₁₃	—	2	1	no	—
727	C₂²×D₁₃	—	4	2	no	—
728	C₂²×D₁₃	—	4	2	no	—
729	C₂²×D₁₃	—	4	2	no	—
730	C₂²×D₁₃	—	4	2	no	—
731	C₂²×D₁₃	—	8	1	no	—
732	C₂²×D₁₃	—	8	1	no	—
733	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
734	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
735	Q₈×C₁₃	—	2	1	no	—
736	Q₈×C₁₃	—	2	1	no	—
737	Q₈×C₁₃	—	2	1	no	—
738	Q₈×C₁₃	—	2	1	no	—
739	Q₈×C₁₃	—	2	1	no	—
740	Q₈×C₁₃	—	4	2	no	—
741	Q₈×C₁₃	C₂×#41	1	2	yes	—
742	D₄×C₁₃	—	2	1	no	—
743	D₄×C₁₃	—	2	1	no	—
744	D₄×C₁₃	—	4	2	no	—
745	C₂×C₄×C₁₃	—	2	2	no	—
746	C₂×C₄×C₁₃	—	2	1	no	—
747	C₂×C₄×C₁₃	—	2	1	no	—
748	C₂×C₄×C₁₃	—	2	1	no	—
749	C₂×C₄×C₁₃	—	2	1	no	—
750	C₂×C₄×C₁₃	—	2	1	no	—
751	C₂×C₄×C₁₃	—	2	1	no	—
752	C₂×C₄×C₁₃	—	2	1	no	—
753	C₂×C₄×C₁₃	—	2	1	no	—
754	C₂×C₄×C₁₃	—	2	1	no	—
755	C₂×C₄×C₁₃	—	4	1	no	—
756	C₂×C₄×C₁₃	—	4	2	no	—
757	C₂×C₄×C₁₃	—	4	2	no	—
758	C₂×C₄×C₁₃	—	8	1	no	—
759	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
760	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
761	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
762	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
763	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
764	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
765	C₂²⋊D₁₃	—	2	2	no	—
766	C₂²⋊D₁₃	—	4	2	no	—
767	C₂²⋊D₁₃	—	4	2	no	—
768	C₂²⋊D₁₃	—	8	1	no	—
769	C₂²⋊D₁₃	—	8	1	no	—
770	C₂²⋊D₁₃	#137	1	4	yes	complemented
771	C₂×Dic₁₃	—	2	1	no	—
772	C₂×Dic₁₃	—	2	1	no	—
773	C₂×Dic₁₃	—	2	1	no	—
774	C₂×Dic₁₃	—	2	1	no	—
775	C₂×Dic₁₃	—	2	1	no	—
776	C₂×Dic₁₃	—	2	1	no	—
777	C₂×Dic₁₃	—	8	1	no	—
778	C₂×Dic₁₃	—	8	1	no	—
779	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
781	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
782	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
785	D₅₂	—	2	2	no	—
786	D₅₂	—	2	1	no	—
787	D₅₂	—	2	1	no	—
788	D₅₂	—	2	1	no	—
789	D₅₂	—	4	2	no	—
790	D₅₂	—	4	2	no	—
791	D₅₂	—	4	2	no	—
792	D₅₂	—	8	1	no	—
793	D₅₂	C₂×#41	1	2	yes	—
794	C₄×D₁₃	—	2	2	no	—
795	C₄×D₁₃	—	2	1	no	—
796	C₄×D₁₃	—	2	1	no	—
797	C₄×D₁₃	—	2	1	no	—
798	C₄×D₁₃	—	2	1	no	—
799	C₄×D₁₃	—	2	2	no	—
800	C₄×D₁₃	—	4	1	no	—
801	C₄×D₁₃	—	4	1	no	—
802	C₄×D₁₃	—	4	2	no	—
803	C₄×D₁₃	—	4	2	no	—
804	C₄×D₁₃	—	4	2	no	—
805	C₄×D₁₃	—	4	2	no	—
806	C₄×D₁₃	—	4	2	no	—
807	C₄×D₁₃	—	4	2	no	—
808	C₄×D₁₃	—	8	1	no	—
809	C₄×D₁₃	—	8	1	no	—
810	C₄×D₁₃	—	8	1	no	—
811	C₄×D₁₃	—	8	1	no	—
812	C₄×D₁₃	—	8	1	no	—
813	C₄×D₁₃	—	8	1	no	—
814	Dic₂₆	—	2	2	no	—
815	Dic₂₆	—	2	1	no	—
816	Dic₂₆	—	2	1	no	—
817	Dic₂₆	—	2	1	no	—
818	Dic₂₆	—	2	1	no	—
819	Dic₂₆	—	4	2	no	—
820	Dic₂₆	—	4	2	no	—
821	Dic₂₆	—	8	1	no	—
822	Dic₂₆	—	8	1	no	—
823	Dic₂₆	—	8	1	no	—
824	Dic₂₆	—	8	1	no	—
825	C₈×C₁₃	—	2	1	no	—
826	C₈×C₁₃	—	2	1	no	—
827	C₈×C₁₃	—	2	1	no	—
828	C₈×C₁₃	—	2	1	no	—
829	#1055	—	2	1	no	—
830	#1055	—	2	1	no	—
831	#1055	—	2	1	no	—
832	#1055	C₂×#41	1	2	yes	—
833	C₂×#137	—	13	1	no	—
834	C₂²×SD₁₆	—	13	1	no	—
835	C₂²×SD₁₆	—	13	1	no	—
836	#559	—	13	1	no	—
837	Q₈²	—	13	1	no	—
838	#557	—	13	1	no	—
839	#557	—	26	1	no	—
840	#554	—	13	1	no	—
841	#554	—	13	1	no	—
842	#554	—	13	1	no	—
843	#554	—	13	1	no	—
844	#554	—	13	1	no	—
845	#554	—	26	1	no	—
846	#554	—	26	1	no	—
847	#554	—	26	1	no	—
848	#553	—	13	1	no	—
849	#553	—	13	1	no	—
850	#553	—	26	1	no	—
851	#551	—	26	1	no	—
852	#551	—	26	1	no	—
853	D₄×Q₈	—	13	1	no	—
854	D₄×Q₈	—	13	1	no	—
855	D₄×Q₈	—	13	1	no	—
856	#546	—	13	1	no	—
857	#546	—	13	1	no	—
858	#546	—	26	1	no	—
859	D₄²	—	13	1	no	—
860	#533	—	13	1	no	—
861	#533	—	13	1	no	—
862	#533	—	13	1	no	—
863	#533	—	26	1	no	—
864	#533	—	26	1	no	—
865	#533	—	26	1	no	—
866	#532	—	13	1	no	—
867	#529	—	13	1	no	—
868	#529	—	26	1	no	—
869	#529	C₂×D₁₃	1	1	yes	characteristic
870	#525	—	26	1	no	—
871	#525	—	26	1	no	—
872	C₄×#41	—	13	1	no	—
873	C₄×#41	—	13	1	no	—
874	C₄×#41	—	26	1	no	—
875	C₂×C₄×Q₈	—	13	1	no	—
876	C₂×C₄×Q₈	—	13	1	no	—
877	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
878	C₂×C₄×D₄	—	13	1	no	—
879	C₂×C₄×D₄	—	13	1	no	—
880	C₂×C₄×D₄	—	26	1	no	—
881	#501	—	13	1	no	—
882	#501	—	13	1	no	—
883	#500	—	13	1	no	—
884	#497	—	13	1	no	—
885	#497	—	13	1	no	—
886	#492	—	13	1	no	—
887	#491	—	13	1	no	—
888	#491	—	13	1	no	—
889	#489	—	13	1	no	—
890	#489	—	13	1	no	—
891	#487	—	13	1	no	—
892	#486	—	13	1	no	—
893	#485	—	13	1	no	—
894	#485	—	13	1	no	—
895	#484	—	13	1	no	—
896	#484	—	13	1	no	—
897	#484	—	13	1	no	—
898	#484	—	13	1	no	—
899	#484	—	13	1	no	—
900	#484	C₂×D₁₃	1	1	yes	characteristic, complemented
901	#481	—	13	1	no	—
902	#481	C₂×D₁₃	1	1	yes	characteristic
903	#480	—	13	1	no	—
904	#480	—	13	1	no	—
905	#479	—	13	1	no	—
906	#479	—	13	1	no	—
907	#479	C₂×D₁₃	1	1	yes	characteristic, complemented
908	#479	C₂×D₁₃	1	1	yes	characteristic, complemented
909	#477	—	13	1	no	—
910	#477	—	13	1	no	—
911	#477	—	13	1	no	—
912	#476	—	13	1	no	—
913	#474	—	13	1	no	—
914	#474	—	13	1	no	—
915	#474	—	13	1	no	—
916	#474	—	13	1	no	—
917	#468	—	13	1	no	—
918	#468	—	13	1	no	—
919	#468	—	13	1	no	—
920	#468	—	13	1	no	—
921	#467	—	13	1	no	—
922	#467	—	13	1	no	—
923	#467	—	13	1	no	—
924	#467	—	13	1	no	—
925	#465	—	13	1	no	—
926	#465	—	13	1	no	—
927	#465	—	13	1	no	—
928	#465	—	13	1	no	—
929	#464	—	13	1	no	—
930	#464	—	13	1	no	—
931	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
932	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
933	#462	—	13	1	no	—
934	#461	—	13	1	no	—
935	#461	—	13	1	no	—
936	#461	—	13	1	no	—
937	#461	—	13	1	no	—
938	#461	—	13	1	no	—
939	#460	—	13	1	no	—
940	#460	—	13	1	no	—
941	#452	—	13	1	no	—
942	#452	—	13	1	no	—
943	#451	—	13	1	no	—
944	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
945	#450	—	13	1	no	—
946	#450	—	13	1	no	—
947	#450	—	13	1	no	—
948	#450	—	13	1	no	—
949	#448	—	13	1	no	—
950	#448	—	13	1	no	—
951	#448	—	13	1	no	—
952	#448	C₂×D₁₃	1	1	yes	characteristic
953	#446	—	13	1	no	—
954	#446	—	13	1	no	—
955	#441	—	13	1	no	—
956	#441	—	13	1	no	—
957	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
958	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
959	#440	—	13	1	no	—
960	#440	—	13	1	no	—
961	#440	—	13	1	no	—
962	#440	—	13	1	no	—
963	#440	—	13	1	no	—
964	#440	—	13	1	no	—
965	#440	—	13	1	no	—
966	#440	—	13	1	no	—
967	#440	—	13	1	no	—
968	#440	—	13	1	no	—
969	#440	—	13	1	no	—
970	#440	—	13	1	no	—
971	#440	—	13	1	no	—
972	#440	—	13	1	no	—
973	#440	—	13	1	no	—
974	#440	—	13	1	no	—
975	#440	—	13	1	no	—
976	#440	—	13	1	no	—
977	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
978	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
979	C₄×Q₁₆	—	13	1	no	—
980	C₄×Q₁₆	—	13	1	no	—
981	C₄×SD₁₆	—	13	1	no	—
982	C₄×SD₁₆	—	13	1	no	—
983	#435	—	13	1	no	—
984	#435	—	13	1	no	—
985	#435	—	13	1	no	—
986	#435	—	13	1	no	—
987	C₈×D₄	—	13	1	no	—
988	C₈×D₄	—	13	1	no	—
989	#432	—	13	1	no	—
990	#432	—	13	1	no	—
991	#432	C₂×D₁₃	1	1	yes	characteristic, complemented
992	#428	—	13	1	no	—
993	C₂×#107	—	13	1	no	—
994	C₂×#107	—	13	1	no	—
995	#419	—	13	1	no	—
996	#417	—	13	1	no	—
997	C₂×#103	—	13	1	no	—
998	C₂×#103	—	13	1	no	—
999	C₂×#102	—	13	1	no	—
1000	C₂×#102	—	13	1	no	—
1001	C₄×M₁₆	—	13	1	no	—
1002	C₂×#97	—	13	1	no	—
1003	C₂×#97	—	13	1	no	—
1004	C₂²×C₁₃	—	2	1	no	—
1005	C₂²×C₁₃	—	2	1	no	—
1006	C₂²×C₁₃	—	4	1	no	—
1007	C₂²×C₁₃	—	4	1	no	—
1008	C₂²×C₁₃	—	4	1	no	—
1009	C₂²×C₁₃	C₂×#137	1	2	yes	—
1010	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1011	C₂×D₁₃	—	2	1	no	—
1012	C₂×D₁₃	—	2	1	no	—
1013	C₂×D₁₃	—	2	1	no	—
1014	C₂×D₁₃	—	2	1	no	—
1015	C₂×D₁₃	—	2	2	no	—
1016	C₂×D₁₃	—	2	1	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	C₂×D₁₃	—	8	4	no	—
1024	C₂×D₁₃	C₂×#137	1	2	yes	—
1025	C₄×C₁₃	—	2	1	no	—
1026	C₄×C₁₃	—	2	1	no	—
1027	C₄×C₁₃	—	2	2	no	—
1028	C₄×C₁₃	—	2	1	no	—
1029	C₄×C₁₃	—	2	1	no	—
1030	C₄×C₁₃	—	2	1	no	—
1031	C₄×C₁₃	—	4	1	no	—
1032	C₄×C₁₃	—	4	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	C₂²×#41	1	1	yes	characteristic
1038	C₄×C₁₃	#585	1	1	yes	characteristic
1039	Dic₁₃	—	2	1	no	—
1040	Dic₁₃	—	2	1	no	—
1041	Dic₁₃	—	2	1	no	—
1042	Dic₁₃	—	2	1	no	—
1043	Dic₁₃	—	2	1	no	—
1044	Dic₁₃	—	4	1	no	—
1045	Dic₁₃	—	4	1	no	—
1046	Dic₁₃	—	4	1	no	—
1047	Dic₁₃	—	4	1	no	—
1048	Dic₁₃	—	4	1	no	—
1049	Dic₁₃	—	4	1	no	—
1050	Dic₁₃	C₂×#137	1	2	yes	—
1051	C₂×#41	—	13	1	no	—
1052	C₂×#41	—	13	1	no	—
1053	C₂×#41	—	26	1	no	—
1054	C₂²×Q₈	—	13	1	no	—
1055	C₂²×Q₈	—	13	1	no	—
1056	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1057	C₂²×D₄	—	13	1	no	—
1058	C₂²×D₄	—	13	1	no	—
1059	C₂²×D₄	—	26	1	no	—
1060	C₂³×C₄	—	26	1	no	—
1061	C₂³×C₄	—	26	1	no	—
1062	#137	—	26	4	no	—
1063	C₂×Q₁₆	—	13	1	no	—
1064	C₂×Q₁₆	—	13	1	no	—
1065	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1066	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
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×SD₁₆	—	13	1	no	—
1073	C₂×SD₁₆	—	13	1	no	—
1074	C₂×SD₁₆	—	13	1	no	—
1075	C₂×SD₁₆	—	13	1	no	—
1076	C₂×SD₁₆	—	13	1	no	—
1077	C₂×SD₁₆	—	26	4	no	—
1078	C₂×SD₁₆	—	26	4	no	—
1079	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1080	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1081	C₂×M₁₆	—	13	1	no	—
1082	C₂×M₁₆	—	13	1	no	—
1083	C₂²×C₈	—	13	1	no	—
1084	C₂²×C₈	—	13	1	no	—
1085	C₂²×C₈	—	13	1	no	—
1086	C₂²×C₈	—	13	1	no	—
1087	C₄⋊Q₈	—	13	1	no	—
1088	C₄⋊Q₈	—	13	1	no	—
1089	C₄⋊Q₈	—	13	1	no	—
1090	C₄⋊Q₈	—	13	1	no	—
1091	C₄⋊Q₈	—	13	1	no	—
1092	C₄⋊Q₈	—	13	1	no	—
1093	C₄⋊Q₈	—	13	1	no	—
1094	C₄⋊Q₈	—	26	1	no	—
1095	C₄⋊Q₈	—	26	1	no	—
1096	C₄⋊Q₈	—	26	1	no	—
1097	C₄⋊Q₈	—	26	1	no	—
1098	C₄⋊Q₈	—	26	1	no	—
1099	C₄⋊Q₈	—	26	1	no	—
1100	#127	—	13	1	no	—
1101	#126	—	2	1	no	—
1102	#126	—	26	1	no	—
1103	#126	—	26	1	no	—
1104	#126	—	26	1	no	—
1105	#125	—	13	1	no	—
1106	#125	—	26	1	no	—
1107	#125	—	26	1	no	—
1108	#125	—	26	1	no	—
1109	#125	—	26	1	no	—
1110	#125	—	26	1	no	—
1111	#125	—	26	1	no	—
1112	#125	—	26	1	no	—
1113	#125	—	26	1	no	—
1114	#125	—	26	1	no	—
1115	#125	—	26	1	no	—
1116	#125	C₂²×D₁₃	1	1	yes	characteristic
1117	#124	—	13	1	no	—
1118	#124	—	26	1	no	—
1119	#124	—	26	1	no	—
1120	#124	C₂²×D₁₃	1	1	yes	characteristic
1121	#123	—	2	1	no	—
1122	#123	—	26	1	no	—
1123	#123	—	26	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	C₂²⋊Q₈	—	13	1	no	—
1130	C₂²⋊Q₈	—	13	1	no	—
1131	C₂²⋊Q₈	—	13	1	no	—
1132	C₂²⋊Q₈	—	13	1	no	—
1133	C₂²⋊Q₈	—	13	1	no	—
1134	C₂²⋊Q₈	—	13	1	no	—
1135	C₂²⋊Q₈	—	13	1	no	—
1136	C₂²⋊Q₈	—	26	1	no	—
1137	C₂²⋊Q₈	—	26	1	no	—
1138	C₂²⋊Q₈	—	26	1	no	—
1139	C₂²⋊Q₈	—	26	1	no	—
1140	C₂²⋊Q₈	—	26	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	—	26	1	no	—
1147	C₂²⋊Q₈	—	26	1	no	—
1148	C₂²⋊Q₈	—	26	1	no	—
1149	C₂²⋊Q₈	—	26	1	no	—
1150	C₂²⋊Q₈	—	26	1	no	—
1151	C₂²⋊Q₈	—	26	1	no	—
1152	C₂²⋊Q₈	—	26	1	no	—
1153	C₂²⋊Q₈	—	26	1	no	—
1154	C₂²⋊Q₈	—	26	1	no	—
1155	C₂²⋊Q₈	—	26	1	no	—
1156	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1157	#121	—	13	1	no	—
1158	#121	—	13	1	no	—
1159	#121	—	13	1	no	—
1160	#121	—	26	1	no	—
1161	#121	—	26	1	no	—
1162	#121	—	26	1	no	—
1163	#121	—	26	1	no	—
1164	#121	—	26	1	no	—
1165	#121	—	26	1	no	—
1166	#121	C₂²×D₁₃	1	1	yes	characteristic
1167	#120	—	26	1	no	—
1168	#120	—	26	1	no	—
1169	#120	—	26	1	no	—
1170	#120	—	26	1	no	—
1171	C₄×Q₈	—	2	1	no	—
1172	C₄×Q₈	—	2	1	no	—
1173	C₄×Q₈	—	13	1	no	—
1174	C₄×Q₈	—	13	1	no	—
1175	C₄×Q₈	—	13	1	no	—
1176	C₄×Q₈	—	13	1	no	—
1177	C₄×Q₈	—	13	1	no	—
1178	C₄×Q₈	—	13	1	no	—
1179	C₄×Q₈	—	13	1	no	—
1180	C₄×Q₈	—	13	1	no	—
1181	C₄×Q₈	—	13	1	no	—
1182	C₄×Q₈	—	26	1	no	—
1183	C₄×Q₈	—	26	1	no	—
1184	C₄×Q₈	—	26	1	no	—
1185	C₄×Q₈	—	26	1	no	—
1186	C₄×Q₈	—	26	1	no	—
1187	C₄×Q₈	—	26	1	no	—
1188	C₄×Q₈	—	26	1	no	—
1189	C₄×Q₈	—	26	1	no	—
1190	C₄×Q₈	—	26	1	no	—
1191	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1192	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1193	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1194	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1195	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	13	1	no	—
1198	C₄×D₄	—	13	1	no	—
1199	C₄×D₄	—	13	1	no	—
1200	C₄×D₄	—	13	1	no	—
1201	C₄×D₄	—	13	1	no	—
1202	C₄×D₄	—	13	1	no	—
1203	C₄×D₄	—	13	1	no	—
1204	C₄×D₄	—	13	1	no	—
1205	C₄×D₄	—	13	1	no	—
1206	C₄×D₄	—	13	1	no	—
1207	C₄×D₄	—	13	1	no	—
1208	C₄×D₄	—	13	1	no	—
1209	C₄×D₄	—	13	1	no	—
1210	C₄×D₄	—	26	1	no	—
1211	C₄×D₄	—	26	1	no	—
1212	C₄×D₄	—	26	1	no	—
1213	C₄×D₄	—	26	1	no	—
1214	C₄×D₄	—	26	1	no	—
1215	C₄×D₄	—	26	1	no	—
1216	C₄×D₄	—	26	1	no	—
1217	C₄×D₄	—	26	1	no	—
1218	C₄×D₄	—	26	1	no	—
1219	C₄×D₄	—	26	1	no	—
1220	C₄×D₄	—	26	1	no	—
1221	C₄×D₄	—	26	1	no	—
1222	C₄×D₄	—	26	1	no	—
1223	C₄×D₄	—	26	1	no	—
1224	C₄×D₄	—	26	1	no	—
1225	C₄×D₄	—	26	1	no	—
1226	C₄×D₄	—	26	1	no	—
1227	C₄×D₄	—	26	1	no	—
1228	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1229	#117	—	2	1	no	—
1230	#117	—	13	1	no	—
1231	#117	—	13	1	no	—
1232	#117	—	13	1	no	—
1233	#117	—	13	1	no	—
1234	#117	—	26	1	no	—
1235	#117	—	26	1	no	—
1236	#117	—	26	1	no	—
1237	#117	—	26	1	no	—
1238	#117	—	26	1	no	—
1239	C₂×C₄⋊C₄	—	2	1	no	—
1240	C₂×C₄⋊C₄	—	13	1	no	—
1241	C₂×C₄⋊C₄	—	13	1	no	—
1242	C₂×C₄⋊C₄	—	13	1	no	—
1243	C₂×C₄⋊C₄	—	13	1	no	—
1244	C₂×C₄⋊C₄	—	26	1	no	—
1245	C₂×C₄⋊C₄	—	26	1	no	—
1246	C₂×C₄⋊C₄	—	26	1	no	—
1247	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1248	C₂×C₂²⋊C₄	—	26	1	no	—
1249	C₂×C₂²⋊C₄	—	26	1	no	—
1250	C₂×C₂²⋊C₄	—	26	1	no	—
1251	C₂×C₂²⋊C₄	—	26	1	no	—
1252	C₂×C₄²	—	2	1	no	—
1253	C₂×C₄²	—	13	1	no	—
1254	C₂×C₄²	—	13	1	no	—
1255	C₂×C₄²	—	26	1	no	—
1256	C₂×C₄²	—	26	1	no	—
1257	C₂×C₄²	—	26	1	no	—
1258	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
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	#107	—	13	1	no	—
1265	#107	—	13	1	no	—
1266	#107	—	13	1	no	—
1267	#107	—	13	1	no	—
1268	#107	—	13	1	no	—
1269	#107	C₂²×D₁₃	1	1	yes	characteristic
1270	#107	C₂²×D₁₃	1	1	yes	characteristic
1271	#106	—	13	1	no	—
1272	#106	—	13	1	no	—
1273	#106	C₂²×D₁₃	1	1	yes	characteristic
1274	#106	C₂²×D₁₃	1	1	yes	characteristic
1275	C₄⋊C₈	—	13	1	no	—
1276	C₄⋊C₈	—	13	1	no	—
1277	C₄⋊C₈	—	13	1	no	—
1278	C₄⋊C₈	—	13	1	no	—
1279	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1280	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
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	#103	—	13	1	no	—
1295	#103	C₂²×D₁₃	1	1	yes	characteristic
1296	#103	C₂²×D₁₃	1	1	yes	characteristic
1297	#103	C₂²×D₁₃	1	1	yes	characteristic
1298	#103	C₂²×D₁₃	1	1	yes	characteristic
1299	#103	C₂²×D₁₃	1	1	yes	characteristic
1300	#103	C₂²×D₁₃	1	1	yes	characteristic
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	#102	—	13	1	no	—
1311	#102	C₂²×D₁₃	1	1	yes	characteristic
1312	#102	C₂²×D₁₃	1	1	yes	characteristic
1313	C₂²⋊C₈	—	13	1	no	—
1314	C₂²⋊C₈	—	13	1	no	—
1315	C₂²⋊C₈	—	13	1	no	—
1316	C₂²⋊C₈	—	13	1	no	—
1317	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1318	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1319	#97	—	13	1	no	—
1320	#97	—	13	1	no	—
1321	#97	—	13	1	no	—
1322	#97	—	13	1	no	—
1323	#97	—	13	1	no	—
1324	#97	—	13	1	no	—
1325	#97	C₂²×D₁₃	1	1	yes	characteristic
1326	#97	C₂²×D₁₃	1	1	yes	characteristic
1327	C₄×C₈	—	13	1	no	—
1328	C₄×C₈	—	13	1	no	—
1329	C₂×C₁₃	—	2	2	no	—
1330	C₂×C₁₃	—	8	1	no	—
1331	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1332	C₂×C₁₃	C₂²×#137	1	1	yes	characteristic
1333	C₂×C₁₃	#3585	1	1	yes	characteristic
1334	D₁₃	—	2	2	no	—
1335	D₁₃	—	4	1	no	—
1336	D₁₃	—	4	2	no	—
1337	D₁₃	—	8	1	no	—
1338	C₂⁴	—	26	1	no	—
1339	C₂⁴	—	26	1	no	—
1340	#41	—	26	4	no	—
1341	#41	—	26	2	no	—
1342	#41	—	52	1	no	—
1343	#41	—	104	2	no	—
1344	C₂×Q₈	—	2	1	no	—
1345	C₂×Q₈	—	2	2	no	—
1346	C₂×Q₈	—	4	1	no	—
1347	C₂×Q₈	—	13	1	no	—
1348	C₂×Q₈	—	13	1	no	—
1349	C₂×Q₈	—	13	1	no	—
1350	C₂×Q₈	—	26	1	no	—
1351	C₂×Q₈	—	26	1	no	—
1352	C₂×Q₈	—	26	1	no	—
1353	C₂×Q₈	—	26	1	no	—
1354	C₂×Q₈	—	26	1	no	—
1355	C₂×Q₈	—	26	1	no	—
1356	C₂×Q₈	—	26	2	no	—
1357	C₂×Q₈	—	26	2	no	—
1358	C₂×Q₈	—	52	1	no	—
1359	C₂×Q₈	—	52	1	no	—
1360	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1361	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1362	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1363	C₂×D₄	—	2	1	no	—
1364	C₂×D₄	—	13	1	no	—
1365	C₂×D₄	—	13	1	no	—
1366	C₂×D₄	—	13	1	no	—
1367	C₂×D₄	—	13	1	no	—
1368	C₂×D₄	—	13	1	no	—
1369	C₂×D₄	—	26	2	no	—
1370	C₂×D₄	—	26	1	no	—
1371	C₂×D₄	—	26	1	no	—
1372	C₂×D₄	—	26	1	no	—
1373	C₂×D₄	—	26	1	no	—
1374	C₂×D₄	—	26	1	no	—
1375	C₂×D₄	—	26	1	no	—
1376	C₂×D₄	—	26	2	no	—
1377	C₂×D₄	—	26	1	no	—
1378	C₂×D₄	—	26	1	no	—
1379	C₂×D₄	—	52	1	no	—
1380	C₂×D₄	—	52	1	no	—
1381	C₂×D₄	—	52	4	no	—
1382	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	2	1	no	—
1386	C₂²×C₄	—	13	1	no	—
1387	C₂²×C₄	—	13	1	no	—
1388	C₂²×C₄	—	13	1	no	—
1389	C₂²×C₄	—	13	1	no	—
1390	C₂²×C₄	—	13	1	no	—
1391	C₂²×C₄	—	13	1	no	—
1392	C₂²×C₄	—	26	1	no	—
1393	C₂²×C₄	—	26	1	no	—
1394	C₂²×C₄	—	26	1	no	—
1395	C₂²×C₄	—	26	1	no	—
1396	C₂²×C₄	—	26	1	no	—
1397	C₂²×C₄	—	26	1	no	—
1398	C₂²×C₄	—	26	1	no	—
1399	C₂²×C₄	—	26	1	no	—
1400	C₂²×C₄	—	26	1	no	—
1401	C₂²×C₄	—	26	1	no	—
1402	C₂²×C₄	—	26	1	no	—
1403	C₂²×C₄	—	26	1	no	—
1404	C₂²×C₄	—	26	1	no	—
1405	C₂²×C₄	—	26	1	no	—
1406	C₂²×C₄	—	104	2	no	—
1407	C₂²×C₄	—	104	2	no	—
1408	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1409	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1410	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1411	Q₁₆	—	2	2	no	—
1412	Q₁₆	—	4	1	no	—
1413	Q₁₆	—	26	2	no	—
1414	Q₁₆	—	52	1	no	—
1415	SD₁₆	—	2	2	no	—
1416	SD₁₆	—	4	1	no	—
1417	SD₁₆	—	13	4	no	—
1418	SD₁₆	—	26	2	no	—
1419	SD₁₆	—	26	2	no	—
1420	SD₁₆	—	26	2	no	—
1421	SD₁₆	—	26	2	no	—
1422	SD₁₆	—	26	2	no	—
1423	SD₁₆	—	26	2	no	—
1424	SD₁₆	—	52	1	no	—
1425	SD₁₆	—	52	1	no	—
1426	SD₁₆	—	52	1	no	—
1427	M₁₆	—	26	2	no	—
1428	M₁₆	—	52	1	no	—
1429	C₂×C₈	—	13	1	no	—
1430	C₂×C₈	—	13	1	no	—
1431	C₂×C₈	—	13	1	no	—
1432	C₂×C₈	—	13	1	no	—
1433	C₂×C₈	—	26	2	no	—
1434	C₂×C₈	—	26	2	no	—
1435	C₂×C₈	—	52	1	no	—
1436	C₂×C₈	—	52	1	no	—
1437	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1438	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1439	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1440	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1455	C₄⋊C₄	—	13	1	no	—
1456	C₄⋊C₄	—	13	1	no	—
1457	C₄⋊C₄	—	13	1	no	—
1458	C₄⋊C₄	—	13	1	no	—
1459	C₄⋊C₄	—	13	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	—	26	1	no	—
1471	C₄⋊C₄	—	26	1	no	—
1472	C₄⋊C₄	—	26	1	no	—
1473	C₄⋊C₄	—	26	1	no	—
1474	C₄⋊C₄	—	26	1	no	—
1475	C₄⋊C₄	—	26	1	no	—
1476	C₄⋊C₄	—	26	1	no	—
1477	C₄⋊C₄	—	26	1	no	—
1478	C₄⋊C₄	—	26	1	no	—
1479	C₄⋊C₄	—	26	1	no	—
1480	C₄⋊C₄	—	26	1	no	—
1481	C₄⋊C₄	—	26	1	no	—
1482	C₄⋊C₄	—	26	1	no	—
1483	C₄⋊C₄	—	26	1	no	—
1484	C₄⋊C₄	—	26	1	no	—
1485	C₄⋊C₄	—	26	1	no	—
1486	C₄⋊C₄	—	26	1	no	—
1487	C₄⋊C₄	—	26	1	no	—
1488	C₄⋊C₄	—	26	1	no	—
1489	C₄⋊C₄	—	26	1	no	—
1490	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1491	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1492	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1493	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1499	C₂²⋊C₄	—	13	1	no	—
1500	C₂²⋊C₄	—	13	1	no	—
1501	C₂²⋊C₄	—	13	1	no	—
1502	C₂²⋊C₄	—	13	1	no	—
1503	C₂²⋊C₄	—	13	1	no	—
1504	C₂²⋊C₄	—	13	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	—	26	1	no	—
1517	C₂²⋊C₄	—	26	1	no	—
1518	C₂²⋊C₄	—	26	1	no	—
1519	C₂²⋊C₄	—	26	1	no	—
1520	C₂²⋊C₄	—	26	1	no	—
1521	C₂²⋊C₄	—	26	1	no	—
1522	C₂²⋊C₄	—	26	1	no	—
1523	C₂²⋊C₄	—	26	1	no	—
1524	C₂²⋊C₄	—	26	1	no	—
1525	C₄²	—	2	1	no	—
1526	C₄²	—	2	1	no	—
1527	C₄²	—	2	1	no	—
1528	C₄²	—	2	1	no	—
1529	C₄²	—	2	1	no	—
1530	C₄²	—	13	1	no	—
1531	C₄²	—	13	1	no	—
1532	C₄²	—	13	1	no	—
1533	C₄²	—	13	1	no	—
1534	C₄²	—	13	1	no	—
1535	C₄²	—	13	1	no	—
1536	C₄²	—	26	1	no	—
1537	C₄²	—	26	1	no	—
1538	C₄²	—	26	1	no	—
1539	C₄²	—	26	1	no	—
1540	C₄²	—	26	1	no	—
1541	C₄²	—	26	1	no	—
1542	C₄²	—	26	1	no	—
1543	C₄²	—	26	1	no	—
1544	C₄²	D₄×D₁₃	1	1	yes	characteristic
1545	C₄²	D₄×D₁₃	1	1	yes	characteristic
1546	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1547	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1548	C₁₃	#61453	1	1	yes	characteristic, complemented, Sylow
1549	C₂³	—	2	1	no	—
1550	C₂³	—	13	1	no	—
1551	C₂³	—	13	1	no	—
1552	C₂³	—	26	1	no	—
1553	C₂³	—	26	1	no	—
1554	C₂³	—	52	2	no	—
1555	C₂³	—	52	2	no	—
1556	C₂³	—	52	2	no	—
1557	C₂³	—	52	2	no	—
1558	C₂³	—	104	1	no	—
1559	C₂³	—	104	1	no	—
1560	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1561	Q₈	—	2	1	no	—
1562	Q₈	—	2	1	no	—
1563	Q₈	—	2	1	no	—
1564	Q₈	—	2	1	no	—
1565	Q₈	—	2	1	no	—
1566	Q₈	—	4	2	no	—
1567	Q₈	—	26	2	no	—
1568	Q₈	—	26	1	no	—
1569	Q₈	—	26	1	no	—
1570	Q₈	—	26	1	no	—
1571	Q₈	—	26	1	no	—
1572	Q₈	—	52	2	no	—
1573	Q₈	—	52	2	no	—
1574	Q₈	—	104	1	no	—
1575	Q₈	—	104	1	no	—
1576	Q₈	—	104	1	no	—
1577	Q₈	—	104	1	no	—
1578	Q₈	#41×D₁₃	1	2	yes	—
1579	D₄	—	2	1	no	—
1580	D₄	—	2	1	no	—
1581	D₄	—	4	2	no	—
1582	D₄	—	13	4	no	—
1583	D₄	—	13	2	no	—
1584	D₄	—	26	2	no	—
1585	D₄	—	26	2	no	—
1586	D₄	—	26	1	no	—
1587	D₄	—	26	1	no	—
1588	D₄	—	26	1	no	—
1589	D₄	—	52	2	no	—
1590	D₄	—	52	2	no	—
1591	D₄	—	52	2	no	—
1592	D₄	—	52	2	no	—
1593	D₄	—	52	2	no	—
1594	D₄	—	104	1	no	—
1595	D₄	—	104	1	no	—
1596	D₄	—	104	1	no	—
1597	C₂×C₄	—	2	2	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	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	4	1	no	—
1608	C₂×C₄	—	4	2	no	—
1609	C₂×C₄	—	4	2	no	—
1610	C₂×C₄	—	8	1	no	—
1611	C₂×C₄	—	13	1	no	—
1612	C₂×C₄	—	13	1	no	—
1613	C₂×C₄	—	13	1	no	—
1614	C₂×C₄	—	13	1	no	—
1615	C₂×C₄	—	13	1	no	—
1616	C₂×C₄	—	13	1	no	—
1617	C₂×C₄	—	26	2	no	—
1618	C₂×C₄	—	26	2	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	—	26	1	no	—
1624	C₂×C₄	—	26	1	no	—
1625	C₂×C₄	—	26	1	no	—
1626	C₂×C₄	—	26	1	no	—
1627	C₂×C₄	—	26	1	no	—
1628	C₂×C₄	—	26	1	no	—
1629	C₂×C₄	—	52	1	no	—
1630	C₂×C₄	—	52	1	no	—
1631	C₂×C₄	—	52	2	no	—
1632	C₂×C₄	—	52	2	no	—
1633	C₂×C₄	—	52	2	no	—
1634	C₂×C₄	—	52	2	no	—
1635	C₂×C₄	—	52	2	no	—
1636	C₂×C₄	—	52	2	no	—
1637	C₂×C₄	—	104	1	no	—
1638	C₂×C₄	—	104	1	no	—
1639	C₂×C₄	—	104	1	no	—
1640	C₂×C₄	—	104	1	no	—
1641	C₂×C₄	—	104	1	no	—
1642	C₂×C₄	—	104	1	no	—
1643	C₂×C₄	—	104	1	no	—
1644	C₂×C₄	—	104	1	no	—
1645	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1646	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1647	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1648	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1649	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1650	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1651	C₈	—	2	1	no	—
1652	C₈	—	2	1	no	—
1653	C₈	—	2	1	no	—
1654	C₈	—	2	1	no	—
1655	C₈	—	13	2	no	—
1656	C₈	—	26	1	no	—
1657	C₈	—	26	1	no	—
1658	C₈	—	26	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	13	2	no	—
1665	C₂²	—	26	1	no	—
1666	C₂²	—	26	1	no	—
1667	C₂²	—	26	1	no	—
1668	C₂²	—	26	1	no	—
1669	C₂²	—	26	2	no	—
1670	C₂²	—	26	1	no	—
1671	C₂²	—	52	1	no	—
1672	C₂²	—	52	1	no	—
1673	C₂²	—	52	1	no	—
1674	C₂²	—	52	1	no	—
1675	C₂²	—	52	1	no	—
1676	C₂²	—	104	4	no	—
1677	C₂²	—	104	4	no	—
1678	C₂²	D₁₃×#137	1	2	yes	—
1679	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	2	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	—	13	2	no	—
1693	C₄	—	26	1	no	—
1694	C₄	—	26	1	no	—
1695	C₄	—	26	1	no	—
1696	C₄	—	26	1	no	—
1697	C₄	—	26	1	no	—
1698	C₄	—	52	1	no	—
1699	C₄	—	52	1	no	—
1700	C₄	—	52	1	no	—
1701	C₄	—	52	1	no	—
1702	C₄	—	52	1	no	—
1703	C₄	—	52	1	no	—
1704	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1705	C₄	#11719648	1	1	yes	characteristic
1706	C₂	—	2	2	no	—
1707	C₂	—	8	1	no	—
1708	C₂	—	26	2	no	—
1709	C₂	—	52	1	no	—
1710	C₂	—	52	2	no	—
1711	C₂	—	104	1	no	—
1712	C₂	#13128319	1	1	yes	characteristic
1713	C₂	C₂×D₁₃×#137	1	1	yes	characteristic
1714	C₂	#13129613	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3117	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13128442	C₂
hypercenter	#3117	D₁₃
hypocenter	C₁₃	#61453
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3117

Complements

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

N	H ≅ G/N	type
2. Q₈×#6127	C₂	semidirect
3. #13127892	C₂	semidirect
4. #13127749	C₂	semidirect
5. #13127645	C₂	semidirect
6. #13127620	C₂	semidirect
7. #13127328	C₂	semidirect
8. #13127319	C₂	semidirect
9. #13127223	C₂	semidirect
10. #13127011	C₂	semidirect
11. #13127004	C₂	semidirect
12. #13126924	C₂	semidirect
13. #13126915	C₂	semidirect
14. #13126705	C₂	semidirect
15. #13126658	C₂	semidirect
16. #13126525	C₂	semidirect
17. #13126341	C₂	semidirect
18. #13126339	C₂	semidirect
19. #13125551	C₂	semidirect
20. #13125546	C₂	semidirect
21. #13125543	C₂	semidirect
22. #13125011	C₂	semidirect
23. #13124996	C₂	semidirect
24. #13124956	C₂	semidirect
25. #13124936	C₂	semidirect
26. #13124933	C₂	semidirect
27. #13123845	C₂	semidirect
28. #13123652	C₂	semidirect
29. C₂×#11718687	C₂	semidirect
30. D₁₃×#440	C₂	semidirect
31. C₁₃×#3117	C₂	semidirect
33. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
35. Q₈×C₂²⋊D₁₃	C₂²	semidirect
53. #11719284	C₂²	semidirect
56. #11719283	C₂²	semidirect
57. #11719283	C₂²	semidirect
58. Q₈×D₅₂	C₂²	semidirect
60. C₄×Q₈×D₁₃	C₂²	semidirect
61. C₄×Q₈×D₁₃	C₂²	semidirect
63. #11719272	C₂²	semidirect
64. Q₈×Dic₂₆	C₂²	semidirect
74. #11719216	C₂²	semidirect
79. #11719175	C₂²	semidirect
80. C₁₃×#484	C₂²	semidirect
82. C₁₃×#479	C₂²	semidirect
83. C₁₃×#479	C₂²	semidirect
84. C₁₃×#464	C₂²	semidirect
85. C₁₃×#464	C₂²	semidirect
86. C₁₃×#451	C₂²	semidirect
88. C₁₃×#441	C₂²	semidirect
89. C₁₃×#441	C₂²	semidirect
90. C₁₃×#440	C₂²	semidirect
91. C₁₃×#440	C₂²	semidirect
92. C₁₃×#432	C₂²	semidirect
93. C₂×#88075	C₂²	semidirect
94. #11718851	C₂²	semidirect
95. #11718849	C₂²	semidirect
97. #11718847	C₂²	semidirect
98. #11718846	C₂²	semidirect
99. Q₁₆×Dic₁₃	C₂²	semidirect
100. #11718843	C₂²	semidirect
102. #11718835	C₂²	semidirect
103. #11718831	C₂²	semidirect
105. #11718825	C₂²	semidirect
107. #11718823	C₂²	semidirect
108. #11718730	C₂²	semidirect
109. #11718726	C₂²	semidirect
110. #11718721	C₂²	semidirect
111. #11718716	C₂²	semidirect
112. #11718712	C₂²	semidirect
113. #11718712	C₂²	semidirect
116. #11718691	C₂²	semidirect
117. #11718691	C₂²	semidirect
122. #11718687	C₂²	semidirect
123. #11718687	C₂²	semidirect
124. #11718687	C₂²	semidirect
125. #11718687	C₂²	semidirect
126. #11718679	C₂²	semidirect
127. #11718679	C₂²	semidirect
129. C₂×#88047	C₂²	semidirect
130. C₂×#88043	C₂²	semidirect
133. #11718547	C₂²	semidirect
134. #11718545	C₂²	semidirect
135. #11718543	C₂²	semidirect
136. D₁₃×#107	C₂²	semidirect
137. #11718536	C₂²	semidirect
138. #11718535	C₂²	semidirect
140. #11718528	C₂²	semidirect
143. #11718522	C₂²	semidirect
144. #11718518	C₂²	semidirect
145. #11718517	C₂²	semidirect
148. #11718507	C₂²	semidirect
150. #11718502	C₂²	semidirect
151. #11718497	C₂²	semidirect
152. #11718497	C₂²	semidirect
153. #11718489	C₂²	semidirect
154. #11718489	C₂²	semidirect
158. #11718475	C₂²	semidirect
159. #11718474	C₂²	semidirect
160. #11718473	C₂²	semidirect
162. #11718470	C₂²	semidirect
163. #11718470	C₂²	semidirect
166. #11718467	C₂²	semidirect
168. #11718463	C₂²	semidirect
169. D₁₃×#103	C₂²	semidirect
170. #11718459	C₂²	semidirect
171. #11718458	C₂²	semidirect
172. #11718457	C₂²	semidirect
173. #11718456	C₂²	semidirect
174. #11718455	C₂²	semidirect
175. #11718455	C₂²	semidirect
176. #11718453	C₂²	semidirect
177. #11718451	C₂²	semidirect
179. #11718441	C₂²	semidirect
181. #11718435	C₂²	semidirect
185. #11718420	C₂²	semidirect
186. #11718418	C₂²	semidirect
189. #11718391	C₂²	semidirect
190. #11718391	C₂²	semidirect
193. #11718383	C₂²	semidirect
194. #11718383	C₂²	semidirect
197. #11718371	C₂²	semidirect
198. #11718371	C₂²	semidirect
199. #11718368	C₂²	semidirect
200. #11718366	C₂²	semidirect
201. #11718366	C₂²	semidirect
202. D₁₃×#97	C₂²	semidirect
601. #6106	#41	semidirect
714. #3117	D₁₃	semidirect
770. C₂²⋊D₁₃	#137	semidirect
877. C₂×C₄×Q₈	C₂×D₁₃	semidirect
900. #484	C₂×D₁₃	semidirect
907. #479	C₂×D₁₃	semidirect
908. #479	C₂×D₁₃	semidirect
931. #464	C₂×D₁₃	semidirect
932. #464	C₂×D₁₃	semidirect
944. #451	C₂×D₁₃	semidirect
957. #441	C₂×D₁₃	semidirect
958. #441	C₂×D₁₃	semidirect
977. #440	C₂×D₁₃	semidirect
978. #440	C₂×D₁₃	semidirect
991. #432	C₂×D₁₃	semidirect
1548. C₁₃	#61453	semidirect

Maximal subgroups

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

subgroup	index
#13128442	2
Q₈×#6127	2
#13127892	2
#13127749	2
#13127645	2
#13127620	2
#13127328	2
#13127319	2
#13127223	2
#13127011	2
#13127004	2
#13126924	2
#13126915	2
#13126705	2
#13126658	2
#13126525	2
#13126341	2
#13126339	2
#13125551	2
#13125546	2
#13125543	2
#13125011	2
#13124996	2
#13124956	2
#13124936	2
#13124933	2
#13123845	2
#13123652	2
C₂×#11718687	2
D₁₃×#440	2
C₁₃×#3117	2
#61453	13