Finite Group Databasebeta

← #16023181

Subgroups — #16023181

Order 3328.

3190 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13×#123C211yesmaximal, characteristic
2C2×#11719250C211yesmaximal, characteristic
3C2×D13×#117C211yesmaximal, characteristic, complemented
4#13117834C211yesmaximal, characteristic, complemented
5#13117832C211yesmaximal, characteristic, complemented
6#13117830C211yesmaximal, characteristic, complemented
7#13117828C211yesmaximal, characteristic, complemented
8#13117826C211yesmaximal, characteristic, complemented
9#13117824C211yesmaximal, characteristic, complemented
10#13117822C211yesmaximal, characteristic, complemented
11#13117704C211yesmaximal, characteristic, complemented
12#13117702C211yesmaximal, characteristic, complemented
13#13117702C211yesmaximal, characteristic, complemented
14#13117701C211yesmaximal, characteristic, complemented
15#13117684C211yesmaximal, characteristic, complemented
16#13117683C211yesmaximal, characteristic, complemented
17#13117680C211yesmaximal, characteristic, complemented
18#13117679C211yesmaximal, characteristic, complemented
19#13117509C211yesmaximal, characteristic, complemented
20#13117506C211yesmaximal, characteristic, complemented
21#13117503C211yesmaximal, characteristic, complemented
22#13117500C211yesmaximal, characteristic, complemented
23#13117447C211yesmaximal, characteristic, complemented
24#13117410C211yesmaximal, characteristic
25#13117363C211yesmaximal, characteristic, complemented
26C4×#88148C211yesmaximal, characteristic, complemented
27#13117357C211yesmaximal, characteristic, complemented
28C4×#88137C211yesmaximal, characteristic, complemented
29C2×#11718325C211yesmaximal, characteristic, complemented
30#13117188C211yesmaximal, characteristic, complemented
31C13×#2359C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×C13×#123C2211yescharacteristic
35C2×C4×D4×C13C2211yescharacteristic
36C2×C13×#117C2211yescharacteristic, complemented
37C2×#88189C2211yescharacteristic
38C2×D4×Dic13C2211yescharacteristic
39C2×#88183C2211yescharacteristic
40C2×C4×C22⋊D13C2211yescharacteristic
41C2×C4×C22⋊D13C2211yescharacteristic
42C22×#6103C2211yescharacteristic
43C22×#6103C2211yescharacteristic
44C22×#6103C2211yescharacteristic
45C2×#88180C2211yescharacteristic, complemented
46D13×#123C4116yescomplemented
47#11719250—28no—
48D13×#117—28no—
49C2×#88148C2211yescharacteristic
50C2×#88148C2211yescharacteristic
51C2×#88147C2211yescharacteristic
52C2×#88146C2211yescharacteristic
53C2×#88146C2211yescharacteristic
54C2×#88146C2211yescharacteristic
55C2×C4⋊C4×D13C2211yescharacteristic
56C2×C4⋊C4×D13C2211yescharacteristic
57C2×C4⋊C4×D13C2211yescharacteristic, complemented
58C2×C4⋊C4×D13C2211yescharacteristic, complemented
59C2×#88140C2211yescharacteristic
60C2×#88137C2211yescharacteristic
61C2×#88137C2211yescharacteristic
62C2×#88135C2211yescharacteristic
63C2×#88135C2211yescharacteristic
64C2×C22⋊C4×D13C2211yescharacteristic
65C2×C22⋊C4×D13C2211yescharacteristic
66C2×C22⋊C4×D13C2211yescharacteristic
67C2×C22⋊C4×D13C2211yescharacteristic
68C2×C22⋊C4×D13C2211yescharacteristic
69C2×C22⋊C4×D13C2211yescharacteristic
70C2×#88131C2211yescharacteristic, complemented
71C2×#88131C2211yescharacteristic, complemented
72C2×C4×D52C2211yescharacteristic
73C2×#88126C2211yescharacteristic
74C2×#88126C2211yescharacteristic
75C2×#88126C2211yescharacteristic
76C2×C42×D13C2211yescharacteristic, complemented
77C2×C42×D13C2211yescharacteristic, complemented
78C13×#389C2211yescharacteristic, complemented
79C13×#388C2211yescharacteristic, complemented
80C13×#388C2211yescharacteristic, complemented
81C13×#387C2211yescharacteristic, complemented
82C13×#387C2211yescharacteristic, complemented
83C13×#386C2211yescharacteristic
84C13×#385C2211yescharacteristic, complemented
85C13×#385C2211yescharacteristic, complemented
86C4×C13×C4⋊C4C2211yescharacteristic, complemented
87C4×C13×C22⋊C4C2211yescharacteristic, complemented
88C4×C13×C22⋊C4C2211yescharacteristic, complemented
89C2×C13×#95C2211yescharacteristic, complemented
90#11718881C2211yescharacteristic
91#11718874C2211yescharacteristic
92#11718871C2211yescharacteristic, complemented
93#11718871C2211yescharacteristic, complemented
94C4×C22⋊Dic13C2211yescharacteristic, complemented
95C4×C22⋊Dic13C2211yescharacteristic, complemented
96C2×#88071C2211yescharacteristic, complemented
97C2×#88071C2211yescharacteristic, complemented
98C2×#88071C2211yescharacteristic, complemented
99#11718651C2211yescharacteristic, complemented
100#11718651C2211yescharacteristic, complemented
101#11718650C2211yescharacteristic, complemented
102#11718650C2211yescharacteristic, complemented
103#11718650C2211yescharacteristic, complemented
104#11718650C2211yescharacteristic, complemented
105#11718648C2211yescharacteristic
106#11718648C2211yescharacteristic
107#11718646C2211yescharacteristic, complemented
108#11718642C2211yescharacteristic, complemented
109#11718642C2211yescharacteristic, complemented
110#11718639C2211yescharacteristic, complemented
111#11718639C2211yescharacteristic, complemented
112C4⋊C4×Dic13C2211yescharacteristic, complemented
113C4⋊C4×Dic13C2211yescharacteristic, complemented
114#11718634C2211yescharacteristic, complemented
115#11718633C2211yescharacteristic, complemented
116#11718633C2211yescharacteristic, complemented
117#11718619C2211yescharacteristic
118#11718617C2211yescharacteristic
119#11718617C2211yescharacteristic
120#11718616C2211yescharacteristic
121#11718616C2211yescharacteristic
122#11718612C2211yescharacteristic, complemented
123#11718612C2211yescharacteristic, complemented
124#11718611C2211yescharacteristic, complemented
125#11718611C2211yescharacteristic, complemented
126#11718607C2211yescharacteristic, complemented
127#11718607C2211yescharacteristic, complemented
128#11718606C2211yescharacteristic, complemented
129#11718606C2211yescharacteristic, complemented
130#11718605C2211yescharacteristic, complemented
131#11718605C2211yescharacteristic, complemented
132C22⋊C4×Dic13C2211yescharacteristic, complemented
133C22⋊C4×Dic13C2211yescharacteristic, complemented
134C22⋊C4×Dic13C2211yescharacteristic, complemented
135C22⋊C4×Dic13C2211yescharacteristic, complemented
136#11718601C2211yescharacteristic, complemented
137#11718601C2211yescharacteristic, complemented
138C4×#6103C2211yescharacteristic
139C4×#6103C2211yescharacteristic
140C4×#6103C2211yescharacteristic, complemented
141C4×#6103C2211yescharacteristic, complemented
142C4×#6103C2211yescharacteristic, complemented
143C4×#6103C2211yescharacteristic, complemented
144C4×C4⋊Dic13C2211yescharacteristic, complemented
145#11718594C2211yescharacteristic, complemented
146#11718594C2211yescharacteristic, complemented
147C4×#6101C2211yescharacteristic, complemented
148C4×#6101C2211yescharacteristic, complemented
149#11718589C2211yescharacteristic, complemented
150#11718331C2211yescharacteristic, complemented
151#11718331C2211yescharacteristic, complemented
152#11718330C2211yescharacteristic, complemented
153#11718330C2211yescharacteristic, complemented
154#11718329C2211yescharacteristic, complemented
155#11718329C2211yescharacteristic, complemented
156#11718329C2211yescharacteristic, complemented
157#11718329C2211yescharacteristic, complemented
158#11718328C2211yescharacteristic
159#11718328C2211yescharacteristic
160#11718327C2211yescharacteristic
161#11718327C2211yescharacteristic
162#11718327C2211yescharacteristic, complemented
163#11718327C2211yescharacteristic, complemented
164#11718327C2211yescharacteristic, complemented
165#11718327C2211yescharacteristic, complemented
166#11718326C2211yescharacteristic
167#11718326C2211yescharacteristic
168#11718325C2211yescharacteristic
169#11718325C2211yescharacteristic
170#11718325C2211yescharacteristic
171#11718325C2211yescharacteristic
172#11718325C2211yescharacteristic
173#11718325C2211yescharacteristic
174#11718325C2211yescharacteristic, complemented
175#11718325C2211yescharacteristic, complemented
176#11718325C2211yescharacteristic, complemented
177#11718325C2211yescharacteristic, complemented
178#11718316C2211yescharacteristic, complemented
179#11718316C2211yescharacteristic, complemented
180#11718315C2211yescharacteristic, complemented
181#11718315C2211yescharacteristic, complemented
182#11718314C2211yescharacteristic, complemented
183#11718314C2211yescharacteristic, complemented
184#11718313C2211yescharacteristic, complemented
185#11718313C2211yescharacteristic, complemented
186#11718310C2211yescharacteristic, complemented
187#11718310C2211yescharacteristic, complemented
188#11718308C2211yescharacteristic, complemented
189#11718308C2211yescharacteristic, complemented
190C24×D13C2311yescharacteristic
191C24×D13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C23×Dic13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C2×D4×D13—24no—
204C2×D4×D13—24no—
205C2×D4×D13C2×C418yes—
206C22×D52C2311yescharacteristic
207C22×C4×D13—24no—
208C22×C4×D13—24no—
209C22×C4×D13C2×C418yescomplemented
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×C4×D13C2311yescharacteristic
220C22×C4×D13C2311yescharacteristic
221C22×C4×D13C2311yescharacteristic
222C22×C4×D13C2311yescharacteristic
223C13×#123C2×C418yescomplemented
224C4×D4×C13—24no—
225C13×#117—24no—
226C2×C13×C4⋊C4C2311yescharacteristic
227C2×C13×C4⋊C4C2311yescharacteristic
228C2×C13×C4⋊C4C2311yescharacteristic
229C2×C13×C4⋊C4C2311yescharacteristic
230C2×C13×C4⋊C4C2311yescharacteristic
231C2×C13×C4⋊C4C2311yescharacteristic
232C2×C13×C4⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C13×C22⋊C4C2311yescharacteristic
239C2×C13×C22⋊C4C2311yescharacteristic
240C2×C13×C22⋊C4C2311yescharacteristic
241C2×C42×C13C2311yescharacteristic
242C2×C42×C13C2311yescharacteristic
243C2×C42×C13C2311yescharacteristic
244C2×C42×C13C2311yescharacteristic
245C2×C42×C13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254#88189C2×C418yescomplemented
255D4×Dic13—24no—
256#88183C2×C418yescomplemented
257C4×C22⋊D13—24no—
258C4×C22⋊D13—24no—
259C2×#6103—24no—
260C2×#6103—24no—
261C2×#6103—24no—
262C2×#6103C2311yescharacteristic
263C2×#6103C2311yescharacteristic
264C2×#6103C2311yescharacteristic
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286#88180—24no—
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
291C2×C4⋊Dic13C2311yescharacteristic
292C2×C4⋊Dic13C2311yescharacteristic
293C2×C4⋊Dic13C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321C2×C4×Dic13C2311yescharacteristic
322C2×C4×Dic13C2311yescharacteristic
323#88148C2×C418yescomplemented
324#88148C2×C418yescomplemented
325#88147—24no—
326#88146—24no—
327#88146—24no—
328#88146—24no—
329C4⋊C4×D13—24no—
330C4⋊C4×D13—24no—
331C4⋊C4×D13C2×C418yescomplemented
332C4⋊C4×D13C2×C418yescomplemented
333#88140C2×C418yescomplemented
334#88137C2×C418yescomplemented
335#88137C2×C418yescomplemented
336#88135—24no—
337#88135—24no—
338C22⋊C4×D13—24no—
339C22⋊C4×D13—24no—
340C22⋊C4×D13C2×C418yescomplemented
341C22⋊C4×D13C2×C418yescomplemented
342C22⋊C4×D13C2×C418yescomplemented
343C22⋊C4×D13D418yes—
344#88131—24no—
345#88131—24no—
346C4×D52—24no—
347#88126—24no—
348#88126—24no—
349#88126—24no—
350C42×D13—24no—
351C42×D13—24no—
352C13×#95C2311yescharacteristic
353C13×#95C2311yescharacteristic
354C13×#95C2311yescharacteristic
355C13×#95C2311yescharacteristic
356C13×#95C2311yescharacteristic
357C13×#95C2311yescharacteristic
358C13×#95C2311yescharacteristic
359C13×#95C2311yescharacteristic
360C13×#95C2311yescharacteristic
361C13×#95C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#88071C2311yescharacteristic
377#88071C2311yescharacteristic
378#88071C2311yescharacteristic
379#88071C2311yescharacteristic
380#88071C2311yescharacteristic
381#88071C2311yescharacteristic
382#88071C2311yescharacteristic
383#88071C2311yescharacteristic
384#88071C2311yescharacteristic
385#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391#88071C2311yescharacteristic
392#34199—131nomaximal, Sylow
393C24×C13C2411yescharacteristic
394C24×C13C2411yescharacteristic
395C23×D13—22no—
396C23×D13—22no—
397C23×D13—41no—
398C23×D13—41no—
399C23×D13—41no—
400C23×D13—41no—
401C23×D13—41no—
402C23×D13—41no—
403C23×D13—41no—
404C23×D13—41no—
405C23×D13C22×C414yes—
406C23×D13C22×C414yes—
407C23×D13C2×D414yes—
408C23×D13#4114yes—
409C23×D13C2411yescharacteristic
410C23×D13C2411yescharacteristic
411C23×D13C2411yescharacteristic
412C2×D4×C13—22no—
413C2×D4×C13—22no—
414C2×D4×C13C22×C414yes—
415C22×C4×C13—22no—
416C22×C4×C13—22no—
417C22×C4×C13—22no—
418C22×C4×C13—22no—
419C22×C4×C13—22no—
420C22×C4×C13—41no—
421C22×C4×C13—41no—
422C22×C4×C13—41no—
423C22×C4×C13—41no—
424C22×C4×C13—41no—
425C22×C4×C13—41no—
426C22×C4×C13C22×C414yes—
427C22×C4×C13C2411yescharacteristic
428C22×C4×C13C2411yescharacteristic
429C22×C4×C13C2411yescharacteristic
430C22×C4×C13C2411yescharacteristic
431C22×C4×C13C2411yescharacteristic
432C22×C4×C13C2411yescharacteristic
433C22×C4×C13C2411yescharacteristic
434C22×C4×C13C2411yescharacteristic
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C22×C4×C13C2411yescharacteristic
438C22×C4×C13C2411yescharacteristic
439C22×C4×C13C2411yescharacteristic
440C2×C22⋊D13—22no—
441C2×C22⋊D13—22no—
442C2×C22⋊D13—22no—
443C2×C22⋊D13—22no—
444C2×C22⋊D13C22×C414yes—
445C2×C22⋊D13C22×C414yes—
446C22×Dic13—22no—
447C22×Dic13—22no—
448C22×Dic13—22no—
449C22×Dic13—22no—
450C22×Dic13—22no—
451C22×Dic13—41no—
452C22×Dic13—41no—
453C22×Dic13—41no—
454C22×Dic13—41no—
455C22×Dic13—41no—
456C22×Dic13—41no—
457C22×Dic13C22×C414yes—
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C22×Dic13C2411yescharacteristic
461C22×Dic13C2411yescharacteristic
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2411yescharacteristic
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466C22×Dic13C2411yescharacteristic
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469C22×Dic13C2411yescharacteristic
470C22×Dic13C2411yescharacteristic
471D4×D13—232no—
472C2×D52—22no—
473C2×D52—22no—
474C2×D52C22×C414yes—
475C2×C4×D13—232no—
476C2×C4×D13—22no—
477C2×C4×D13—22no—
478C2×C4×D13—22no—
479C2×C4×D13—22no—
480C2×C4×D13—22no—
481C2×C4×D13—22no—
482C2×C4×D13—22no—
483C2×C4×D13—22no—
484C2×C4×D13—22no—
485C2×C4×D13—22no—
486C2×C4×D13—22no—
487C2×C4×D13—22no—
488C2×C4×D13—22no—
489C2×C4×D13—22no—
490C2×C4×D13—41no—
491C2×C4×D13—41no—
492C2×C4×D13—41no—
493C2×C4×D13—41no—
494C2×C4×D13—41no—
495C2×C4×D13—41no—
496C2×C4×D13—41no—
497C2×C4×D13—41no—
498C2×C4×D13—41no—
499C2×C4×D13—41no—
500C2×C4×D13—41no—
501C2×C4×D13—41no—
502C2×C4×D13—41no—
503C2×C4×D13—41no—
504C2×C4×D13—41no—
505C2×C4×D13—41no—
506C2×C4×D13C22×C414yes—
507C2×C4×D13C22×C414yes—
508C2×C4×D13C22×C414yes—
509C2×C4×D13C22×C414yes—
510C2×C4×D13C22×C414yes—
511C2×C4×D13C22×C414yes—
512C2×C4×D13C22×C414yes—
513C2×C4×D13C2×D414yes—
514C2×C4×D13C2×D414yes—
515C13×C4⋊C4—22no—
516C13×C4⋊C4—22no—
517C13×C4⋊C4—22no—
518C13×C4⋊C4—41no—
519C13×C4⋊C4—41no—
520C13×C4⋊C4C22×C414yes—
521C13×C4⋊C4C22×C414yes—
522C13×C22⋊C4—22no—
523C13×C22⋊C4—22no—
524C13×C22⋊C4—41no—
525C13×C22⋊C4—41no—
526C13×C22⋊C4C22×C414yes—
527C13×C22⋊C4C22×C414yes—
528C13×C22⋊C4C22×C414yes—
529C13×C22⋊C4C2×D414yes—
530C42×C13—22no—
531C42×C13—22no—
532C42×C13—22no—
533C42×C13—41no—
534C42×C13—41no—
535C22⋊Dic13—22no—
536C22⋊Dic13—22no—
537C22⋊Dic13—41no—
538C22⋊Dic13—41no—
539C22⋊Dic13C22×C414yes—
540C22⋊Dic13C22×C414yes—
541C22⋊Dic13C22×C414yes—
542C22⋊Dic13C2×D414yes—
543#6103—22no—
544#6103—22no—
545#6103—22no—
546#6103—22no—
547#6103—22no—
548#6103—22no—
549#6103—22no—
550#6103—22no—
551#6103—22no—
552#6103—22no—
553#6103—22no—
554#6103—22no—
555#6103—41no—
556#6103—41no—
557#6103—41no—
558#6103—41no—
559#6103C22×C414yes—
560#6103C22×C414yes—
561#6103C22×C414yes—
562#6103C22×C414yes—
563#6103C22×C414yes—
564#6103C22×C414yes—
565#6103C2×D414yes—
566#6103C2×D414yes—
567C4⋊Dic13—22no—
568C4⋊Dic13—22no—
569C4⋊Dic13—22no—
570C4⋊Dic13—41no—
571C4⋊Dic13—41no—
572C4⋊Dic13C22×C414yes—
573C4⋊Dic13C22×C414yes—
574#6101—22no—
575#6101—22no—
576#6101—22no—
577#6101—22no—
578#6101—22no—
579#6101—22no—
580#6101—41no—
581#6101—41no—
582#6101—41no—
583#6101—41no—
584#6101C22×C414yes—
585#6101C22×C414yes—
586#6101C22×C414yes—
587#6101C22×C414yes—
588C4×Dic13—22no—
589C4×Dic13—22no—
590C4×Dic13—22no—
591C4×Dic13—22no—
592C4×Dic13—22no—
593C4×Dic13—22no—
594C4×Dic13—22no—
595C4×Dic13—22no—
596C4×Dic13—22no—
597C4×Dic13—41no—
598C4×Dic13—41no—
599C4×Dic13—41no—
600C4×Dic13—41no—
601C4×Dic13—41no—
602C4×Dic13—41no—
603C22×#123—131no—
604C2×#518—131no—
605C22×#117—131no—
606#2359—131no—
607#2359—131no—
608#2359—131no—
609#2359—131no—
610#2359—131no—
611#2359—131no—
612#2359—131no—
613#2359D1311yescharacteristic, complemented
614#2344—131no—
615#2344—131no—
616#2344—131no—
617#2344—131no—
618#2342—131no—
619#2342—131no—
620#2342—131no—
621#2342—131no—
622#2322—131no—
623#2322—131no—
624#2322—131no—
625#2322—131no—
626#2315—131no—
627#2308—131no—
628C4×#123—131no—
629C4×#123—131no—
630C4×#123—131no—
631C4×#123—131no—
632C2×#381—131no—
633#2273—131no—
634C23×C13—21no—
635C23×C13—21no—
636C23×C13—21no—
637C23×C13—21no—
638C23×C13—21no—
639C23×C13—21no—
640C23×C13—21no—
641C23×C13—21no—
642C23×C13—21no—
643C23×C13—21no—
644C23×C13C23×C412yes—
645C23×C13C23×C412yes—
646C23×C13C22×D412yes—
647C23×C13C2×#4112yes—
648C23×C13C2511yescharacteristic
649C22×D13—21no—
650C22×D13—21no—
651C22×D13—21no—
652C22×D13—21no—
653C22×D13—21no—
654C22×D13—21no—
655C22×D13—21no—
656C22×D13—21no—
657C22×D13—21no—
658C22×D13—21no—
659C22×D13—21no—
660C22×D13—21no—
661C22×D13—21no—
662C22×D13—21no—
663C22×D13—28no—
664C22×D13—44no—
665C22×D13—44no—
666C22×D13—44no—
667C22×D13—44no—
668C22×D13—44no—
669C22×D13—44no—
670C22×D13—44no—
671C22×D13—44no—
672C22×D13—82no—
673C22×D13—82no—
674C22×D13—82no—
675C22×D13—82no—
676C22×D13C4×D4116yes—
677C22×D13C23×C412yes—
678C22×D13C23×C412yes—
679C22×D13C23×C412yes—
680C22×D13C22×D412yes—
681C22×D13C22×D412yes—
682C22×D13C2×#4112yes—
683C22×D13C2×#4112yes—
684D4×C13—28no—
685C2×C4×C13—28no—
686C2×C4×C13—21no—
687C2×C4×C13—21no—
688C2×C4×C13—21no—
689C2×C4×C13—21no—
690C2×C4×C13—21no—
691C2×C4×C13—21no—
692C2×C4×C13—21no—
693C2×C4×C13—21no—
694C2×C4×C13—21no—
695C2×C4×C13—21no—
696C2×C4×C13—21no—
697C2×C4×C13—21no—
698C2×C4×C13—21no—
699C2×C4×C13—21no—
700C2×C4×C13—21no—
701C2×C4×C13—21no—
702C2×C4×C13—21no—
703C2×C4×C13—21no—
704C2×C4×C13—21no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—21no—
708C2×C4×C13—21no—
709C2×C4×C13—21no—
710C2×C4×C13—21no—
711C2×C4×C13—21no—
712C2×C4×C13—21no—
713C2×C4×C13—21no—
714C2×C4×C13—21no—
715C2×C4×C13—21no—
716C2×C4×C13—21no—
717C2×C4×C13—21no—
718C2×C4×C13—82no—
719C2×C4×C13—82no—
720C2×C4×C13—82no—
721C2×C4×C13C23×C412yes—
722C2×C4×C13C23×C412yes—
723C2×C4×C13C23×C412yes—
724C2×C4×C13C23×C412yes—
725C2×C4×C13C23×C412yes—
726C2×C4×C13C22×D412yes—
727C2×C4×C13C22×D412yes—
728C22⋊D13—28no—
729C22⋊D13—28no—
730C2×Dic13—28no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—21no—
736C2×Dic13—21no—
737C2×Dic13—21no—
738C2×Dic13—21no—
739C2×Dic13—21no—
740C2×Dic13—21no—
741C2×Dic13—21no—
742C2×Dic13—21no—
743C2×Dic13—21no—
744C2×Dic13—21no—
745C2×Dic13—21no—
746C2×Dic13—21no—
747C2×Dic13—21no—
748C2×Dic13—21no—
749C2×Dic13—21no—
750C2×Dic13—21no—
751C2×Dic13—21no—
752C2×Dic13—21no—
753C2×Dic13—21no—
754C2×Dic13—21no—
755C2×Dic13—21no—
756C2×Dic13—21no—
757C2×Dic13—21no—
758C2×Dic13—21no—
759C2×Dic13—21no—
760C2×Dic13—21no—
761C2×Dic13—21no—
762C2×Dic13—21no—
763C2×Dic13—82no—
764C2×Dic13—82no—
765C2×Dic13—82no—
766C2×Dic13C23×C412yes—
767C2×Dic13C23×C412yes—
768C2×Dic13C23×C412yes—
769C2×Dic13C23×C412yes—
770C2×Dic13C23×C412yes—
771C2×Dic13C22×D412yes—
772C2×Dic13C22×D412yes—
773D52—28no—
774C4×D13—28no—
775C4×D13—28no—
776C4×D13—28no—
777C4×D13—28no—
778C4×D13—28no—
779C4×D13—44no—
780C4×D13—44no—
781C4×D13—44no—
782C4×D13—44no—
783C4×D13—44no—
784C4×D13—44no—
785C4×D13—82no—
786C4×D13—82no—
787C23×D4—131no—
788C24×C4—131no—
789C2×#123—131no—
790C2×#123—131no—
791C2×#123—1316no—
792C2×#123—131no—
793C2×#123—131no—
794C2×#123—131no—
795C2×#123—131no—
796C2×#123—131no—
797C2×#123C2×D1311yescharacteristic
798#518—268no—
799C2×C4×D4—131no—
800C2×C4×D4—131no—
801C2×C4×D4—131no—
802C2×C4×D4—131no—
803C2×C4×D4—131no—
804C2×C4×D4—131no—
805C2×C4×D4—131no—
806C2×C4×D4C2×D1311yescharacteristic
807C2×#117—131no—
808C2×#117—131no—
809C2×#117—131no—
810C2×#117—131no—
811C2×#117—131no—
812C2×#117—131no—
813C2×#117—131no—
814C2×#117—131no—
815C2×#117—131no—
816C2×#117—268no—
817C2×#117C2×D1311yescharacteristic, complemented
818C22×C4⋊C4—131no—
819C22×C4⋊C4—131no—
820C22×C4⋊C4—131no—
821C22×C4⋊C4—131no—
822C22×C22⋊C4—131no—
823C22×C22⋊C4—131no—
824C22×C22⋊C4—131no—
825C22×C22⋊C4—131no—
826C22×C22⋊C4—131no—
827C22×C22⋊C4—131no—
828C22×C22⋊C4—131no—
829C22×C22⋊C4—131no—
830C22×C22⋊C4—131no—
831C22×C42—131no—
832C22×C42—131no—
833#389—131no—
834#389—131no—
835#389—131no—
836#389—131no—
837#389—131no—
838#389—131no—
839#389—131no—
840#389C2×D1311yescharacteristic, complemented
841#388—131no—
842#388—131no—
843#388—131no—
844#388—131no—
845#388—131no—
846#388—131no—
847#388—131no—
848#388—131no—
849#388—131no—
850#388—131no—
851#388—131no—
852#388—131no—
853#388—131no—
854#388—131no—
855#388C2×D1311yescharacteristic, complemented
856#388C2×D1311yescharacteristic, complemented
857#387—131no—
858#387—131no—
859#387—131no—
860#387—131no—
861#387—131no—
862#387—131no—
863#387—131no—
864#387—131no—
865#387—131no—
866#387—131no—
867#387—131no—
868#387—131no—
869#387—131no—
870#387—131no—
871#387C2×D1311yescharacteristic, complemented
872#387C2×D1311yescharacteristic, complemented
873#386—131no—
874#386—131no—
875#386—131no—
876#386—131no—
877#386—131no—
878#386—131no—
879#386—131no—
880#386C2×D1311yescharacteristic
881#385—131no—
882#385—131no—
883#385—131no—
884#385—131no—
885#385—131no—
886#385—131no—
887#385—131no—
888#385—131no—
889#385—131no—
890#385—131no—
891#385—131no—
892#385—131no—
893#385—131no—
894#385—131no—
895#385C2×D1311yescharacteristic, complemented
896#385C2×D1311yescharacteristic, complemented
897#381—131no—
898#381—131no—
899#381—131no—
900#381—131no—
901#381—131no—
902#381—131no—
903#381—131no—
904#381—131no—
905#381—131no—
906#381—131no—
907#380—131no—
908#380—131no—
909#380—131no—
910#380—131no—
911#379—131no—
912#379—131no—
913C4×C4⋊C4—131no—
914C4×C4⋊C4—131no—
915C4×C4⋊C4—131no—
916C4×C4⋊C4—131no—
917C4×C4⋊C4—131no—
918C4×C4⋊C4—131no—
919C4×C4⋊C4—131no—
920C4×C4⋊C4C2×D1311yescharacteristic, complemented
921C4×C22⋊C4—131no—
922C4×C22⋊C4—131no—
923C4×C22⋊C4—131no—
924C4×C22⋊C4—131no—
925C4×C22⋊C4—131no—
926C4×C22⋊C4—131no—
927C4×C22⋊C4—131no—
928C4×C22⋊C4—131no—
929C4×C22⋊C4—131no—
930C4×C22⋊C4—131no—
931C4×C22⋊C4—131no—
932C4×C22⋊C4—131no—
933C4×C22⋊C4—131no—
934C4×C22⋊C4—131no—
935C4×C22⋊C4—131no—
936C4×C22⋊C4—131no—
937C4×C22⋊C4—131no—
938C4×C22⋊C4—131no—
939C4×C22⋊C4C2×D1311yescharacteristic, complemented
940C4×C22⋊C4C2×D1311yescharacteristic, complemented
941C2×#95—131no—
942C2×#95—131no—
943C2×#95—131no—
944C2×#95C2×D1311yescharacteristic, complemented
945C22×C13—22no—
946C22×C13—22no—
947C22×C13—22no—
948C22×C13—22no—
949C22×C13—22no—
950C22×C13—22no—
951C22×C13—22no—
952C22×C13—22no—
953C22×C13—22no—
954C22×C13—41no—
955C22×C13—41no—
956C22×C13—41no—
957C22×C13—41no—
958C22×C13C2×C4×D414yes—
959C22×C13C24×C411yescharacteristic
960C22×C13C23×D411yescharacteristic
961C22×C13C22×#4111yescharacteristic
962C22×C13#58511yescharacteristic
963C22×C13#58511yescharacteristic
964C22×C13#58511yescharacteristic
965C22×C13#58511yescharacteristic
966C2×D13—22no—
967C2×D13—22no—
968C2×D13—22no—
969C2×D13—22no—
970C2×D13—22no—
971C2×D13—22no—
972C2×D13—22no—
973C2×D13—22no—
974C2×D13—22no—
975C2×D13—22no—
976C2×D13—22no—
977C2×D13—22no—
978C2×D13—22no—
979C2×D13—22no—
980C2×D13—22no—
981C2×D13—416no—
982C2×D13—41no—
983C2×D13—41no—
984C2×D13—41no—
985C2×D13—41no—
986C2×D13—88no—
987C2×D13C2×C4×D414yes—
988C2×D13C2×C4×D414yes—
989C4×C13—22no—
990C4×C13—22no—
991C4×C13—22no—
992C4×C13—22no—
993C4×C13—22no—
994C4×C13—22no—
995C4×C13—22no—
996C4×C13—41no—
997C4×C13—41no—
998C4×C13—41no—
999C4×C13—41no—
1000C4×C13—41no—
1001C4×C13—41no—
1002Dic13—22no—
1003Dic13—22no—
1004Dic13—22no—
1005Dic13—22no—
1006Dic13—22no—
1007Dic13—22no—
1008Dic13—22no—
1009Dic13—41no—
1010Dic13—41no—
1011Dic13—41no—
1012Dic13—41no—
1013Dic13—41no—
1014Dic13—41no—
1015C25—131no—
1016C25—131no—
1017C22×D4—131no—
1018C22×D4—131no—
1019C22×D4—138no—
1020C22×D4—131no—
1021C22×D4—264no—
1022C22×D4—264no—
1023C22×D4C22×D1311yescharacteristic
1024C23×C4—131no—
1025C23×C4—138no—
1026C23×C4—131no—
1027C23×C4—131no—
1028C23×C4—131no—
1029C23×C4—131no—
1030C23×C4—131no—
1031C23×C4—131no—
1032C23×C4—131no—
1033C23×C4—131no—
1034C23×C4—131no—
1035C23×C4—131no—
1036C23×C4—131no—
1037C23×C4—131no—
1038C23×C4—131no—
1039C23×C4—131no—
1040C23×C4—131no—
1041C23×C4—131no—
1042C23×C4—264no—
1043C23×C4—264no—
1044C23×C4C22×D1311yescharacteristic
1045C23×C4C22×D1311yescharacteristic
1046C23×C4C22×D1311yescharacteristic
1047C23×C4C22×D1311yescharacteristic
1048#123—138no—
1049#123—138no—
1050#123—138no—
1051#123—138no—
1052#123—138no—
1053#123—138no—
1054#123—138no—
1055#123C4×D1318yescomplemented
1056C4×D4—24no—
1057C4×D4—264no—
1058C4×D4—264no—
1059C4×D4—264no—
1060C4×D4—264no—
1061C4×D4—264no—
1062C4×D4—264no—
1063C4×D4—264no—
1064#117—24no—
1065#117—264no—
1066#117—264no—
1067#117—264no—
1068#117—264no—
1069#117—264no—
1070#117—264no—
1071#117—264no—
1072#117—264no—
1073#117—264no—
1074C2×C4⋊C4—131no—
1075C2×C4⋊C4—131no—
1076C2×C4⋊C4—131no—
1077C2×C4⋊C4—131no—
1078C2×C4⋊C4—131no—
1079C2×C4⋊C4—131no—
1080C2×C4⋊C4—138no—
1081C2×C4⋊C4—138no—
1082C2×C4⋊C4—131no—
1083C2×C4⋊C4—131no—
1084C2×C4⋊C4—131no—
1085C2×C4⋊C4—131no—
1086C2×C4⋊C4—131no—
1087C2×C4⋊C4—131no—
1088C2×C4⋊C4—131no—
1089C2×C4⋊C4—131no—
1090C2×C4⋊C4—131no—
1091C2×C4⋊C4—131no—
1092C2×C4⋊C4—131no—
1093C2×C4⋊C4—131no—
1094C2×C4⋊C4—131no—
1095C2×C4⋊C4—131no—
1096C2×C4⋊C4—131no—
1097C2×C4⋊C4—264no—
1098C2×C4⋊C4—264no—
1099C2×C4⋊C4C22×D1311yescharacteristic
1100C2×C4⋊C4C22×D1311yescharacteristic
1101C2×C4⋊C4C22×D1311yescharacteristic
1102C2×C4⋊C4C22×D1311yescharacteristic
1103C2×C4⋊C4C22×D1311yescharacteristic
1104C2×C4⋊C4C22×D1311yescharacteristic
1105C2×C4⋊C4C22×D1311yescharacteristic
1106C2×C22⋊C4—131no—
1107C2×C22⋊C4—131no—
1108C2×C22⋊C4—131no—
1109C2×C22⋊C4—131no—
1110C2×C22⋊C4—131no—
1111C2×C22⋊C4—131no—
1112C2×C22⋊C4—131no—
1113C2×C22⋊C4—131no—
1114C2×C22⋊C4—131no—
1115C2×C22⋊C4—131no—
1116C2×C22⋊C4—131no—
1117C2×C22⋊C4—131no—
1118C2×C22⋊C4—138no—
1119C2×C22⋊C4—138no—
1120C2×C22⋊C4—138no—
1121C2×C22⋊C4—138no—
1122C2×C22⋊C4—131no—
1123C2×C22⋊C4—131no—
1124C2×C22⋊C4—131no—
1125C2×C22⋊C4—131no—
1126C2×C22⋊C4—131no—
1127C2×C22⋊C4—131no—
1128C2×C22⋊C4—131no—
1129C2×C22⋊C4—131no—
1130C2×C22⋊C4—131no—
1131C2×C22⋊C4—131no—
1132C2×C22⋊C4—131no—
1133C2×C22⋊C4—131no—
1134C2×C22⋊C4—131no—
1135C2×C22⋊C4—131no—
1136C2×C22⋊C4—131no—
1137C2×C22⋊C4—131no—
1138C2×C22⋊C4—131no—
1139C2×C22⋊C4—131no—
1140C2×C22⋊C4—131no—
1141C2×C22⋊C4—131no—
1142C2×C22⋊C4—264no—
1143C2×C22⋊C4—264no—
1144C2×C22⋊C4—264no—
1145C2×C22⋊C4—264no—
1146C2×C22⋊C4—264no—
1147C2×C22⋊C4C22×D1311yescharacteristic
1148C2×C22⋊C4C22×D1311yescharacteristic
1149C2×C22⋊C4C22×D1311yescharacteristic
1150C2×C22⋊C4C22×D1311yescharacteristic
1151C2×C22⋊C4C22×D1311yescharacteristic
1152C2×C22⋊C4C22×D1311yescharacteristic
1153C2×C22⋊C4C22×D1311yescharacteristic
1154C2×C22⋊C4C22×D1311yescharacteristic
1155C2×C42—131no—
1156C2×C42—131no—
1157C2×C42—131no—
1158C2×C42—131no—
1159C2×C42—131no—
1160C2×C42—131no—
1161C2×C42—131no—
1162C2×C42—131no—
1163C2×C42—131no—
1164C2×C42—131no—
1165C2×C42—131no—
1166C2×C42—131no—
1167C2×C42—131no—
1168C2×C42—131no—
1169C2×C42—131no—
1170C2×C42—264no—
1171C2×C42—264no—
1172C2×C42C22×D1311yescharacteristic
1173C2×C42C22×D1311yescharacteristic
1174C2×C42C22×D1311yescharacteristic
1175C2×C42C22×D1311yescharacteristic
1176C2×C42C22×D1311yescharacteristic
1177#95—131no—
1178#95—131no—
1179#95—131no—
1180#95—131no—
1181#95—131no—
1182#95—131no—
1183#95—131no—
1184#95—131no—
1185#95—131no—
1186#95—131no—
1187#95—131no—
1188#95—131no—
1189#95—131no—
1190#95—131no—
1191#95—131no—
1192#95—131no—
1193#95—131no—
1194#95—131no—
1195#95—131no—
1196#95—131no—
1197#95—131no—
1198#95—131no—
1199#95—131no—
1200#95—131no—
1201#95—131no—
1202#95—131no—
1203#95—131no—
1204#95—131no—
1205#95—131no—
1206#95—131no—
1207#95C22×D1311yescharacteristic
1208#95C22×D1311yescharacteristic
1209#95C22×D1311yescharacteristic
1210#95C22×D1311yescharacteristic
1211#95C22×D1311yescharacteristic
1212#95C22×D1311yescharacteristic
1213#95C22×D1311yescharacteristic
1214#95C22×D1311yescharacteristic
1215#95C22×D1311yescharacteristic
1216#95C22×D1311yescharacteristic
1217C2×C13—24no—
1218C2×C13—42no—
1219C2×C13C22×C4×D411yescharacteristic
1220C2×C13#342811yescharacteristic
1221C2×C13#342811yescharacteristic
1222C2×C13#348511yescharacteristic
1223C2×C13#348511yescharacteristic
1224C2×C13#349111yescharacteristic
1225C2×C13#349111yescharacteristic
1226D13—24no—
1227D13—24no—
1228D13—42no—
1229C24—131no—
1230C24—131no—
1231C24—134no—
1232C24—134no—
1233C24—134no—
1234C24—131no—
1235C24—134no—
1236C24—262no—
1237C24—262no—
1238C24—521no—
1239C24—521no—
1240C24—521no—
1241C24—521no—
1242C24—521no—
1243C24—521no—
1244C24—521no—
1245C24—521no—
1246C24C23×D1311yescharacteristic
1247C24C23×D1311yescharacteristic
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—134no—
1251C2×D4—134no—
1252C2×D4—134no—
1253C2×D4—262no—
1254C2×D4—262no—
1255C2×D4—2632no—
1256C2×D4—262no—
1257C2×D4—262no—
1258C2×D4—262no—
1259C2×D4—262no—
1260C2×D4C2×C4×D1314yes—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—134no—
1273C22×C4—131no—
1274C22×C4—131no—
1275C22×C4—131no—
1276C22×C4—131no—
1277C22×C4—131no—
1278C22×C4—131no—
1279C22×C4—131no—
1280C22×C4—134no—
1281C22×C4—134no—
1282C22×C4—134no—
1283C22×C4—134no—
1284C22×C4—134no—
1285C22×C4—134no—
1286C22×C4—134no—
1287C22×C4—134no—
1288C22×C4—134no—
1289C22×C4—131no—
1290C22×C4—131no—
1291C22×C4—131no—
1292C22×C4—131no—
1293C22×C4—131no—
1294C22×C4—131no—
1295C22×C4—262no—
1296C22×C4—262no—
1297C22×C4—262no—
1298C22×C4—262no—
1299C22×C4—262no—
1300C22×C4—262no—
1301C22×C4—2632no—
1302C22×C4—262no—
1303C22×C4—262no—
1304C22×C4—262no—
1305C22×C4—262no—
1306C22×C4—262no—
1307C22×C4—262no—
1308C22×C4—262no—
1309C22×C4—262no—
1310C22×C4—262no—
1311C22×C4—262no—
1312C22×C4—262no—
1313C22×C4—262no—
1314C22×C4—262no—
1315C22×C4—521no—
1316C22×C4—521no—
1317C22×C4—521no—
1318C22×C4—521no—
1319C22×C4—521no—
1320C22×C4—521no—
1321C22×C4—521no—
1322C22×C4—521no—
1323C22×C4—521no—
1324C22×C4—521no—
1325C22×C4—521no—
1326C22×C4—521no—
1327C22×C4—521no—
1328C22×C4—521no—
1329C22×C4—521no—
1330C22×C4—521no—
1331C22×C4—521no—
1332C22×C4—521no—
1333C22×C4—521no—
1334C22×C4—521no—
1335C22×C4—521no—
1336C22×C4—521no—
1337C22×C4C2×C4×D1314yes—
1338C22×C4C23×D1311yescharacteristic
1339C22×C4C23×D1311yescharacteristic
1340C22×C4C23×D1311yescharacteristic
1341C22×C4C23×D1311yescharacteristic
1342C22×C4C23×D1311yescharacteristic
1343C22×C4C23×D1311yescharacteristic
1344C22×C4C23×D1311yescharacteristic
1345C22×C4C23×D1311yescharacteristic
1346C22×C4C23×D1311yescharacteristic
1347C22×C4C23×D1311yescharacteristic
1348C22×C4C23×D1311yescharacteristic
1349C22×C4C23×D1311yescharacteristic
1350C22×C4C23×D1311yescharacteristic
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—134no—
1357C4⋊C4—134no—
1358C4⋊C4—134no—
1359C4⋊C4—134no—
1360C4⋊C4—134no—
1361C4⋊C4—134no—
1362C4⋊C4—262no—
1363C4⋊C4—262no—
1364C4⋊C4—262no—
1365C4⋊C4—262no—
1366C4⋊C4—262no—
1367C4⋊C4—262no—
1368C4⋊C4—262no—
1369C4⋊C4—262no—
1370C4⋊C4—262no—
1371C4⋊C4—521no—
1372C4⋊C4—521no—
1373C4⋊C4—521no—
1374C4⋊C4—521no—
1375C4⋊C4—521no—
1376C4⋊C4—521no—
1377C4⋊C4C2×C4×D1314yes—
1378C4⋊C4C2×C4×D1314yes—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—134no—
1384C22⋊C4—134no—
1385C22⋊C4—134no—
1386C22⋊C4—134no—
1387C22⋊C4—134no—
1388C22⋊C4—134no—
1389C22⋊C4—134no—
1390C22⋊C4—134no—
1391C22⋊C4—134no—
1392C22⋊C4—134no—
1393C22⋊C4—134no—
1394C22⋊C4—134no—
1395C22⋊C4—262no—
1396C22⋊C4—262no—
1397C22⋊C4—262no—
1398C22⋊C4—262no—
1399C22⋊C4—262no—
1400C22⋊C4—262no—
1401C22⋊C4—262no—
1402C22⋊C4—262no—
1403C22⋊C4—262no—
1404C22⋊C4—262no—
1405C22⋊C4—262no—
1406C22⋊C4—262no—
1407C22⋊C4—262no—
1408C22⋊C4—262no—
1409C22⋊C4—521no—
1410C22⋊C4—521no—
1411C22⋊C4—521no—
1412C22⋊C4—521no—
1413C22⋊C4—521no—
1414C22⋊C4—521no—
1415C22⋊C4C2×C4×D1314yes—
1416C22⋊C4C2×C4×D1314yes—
1417C22⋊C4C2×C4×D1314yes—
1418C22⋊C4D4×D1314yes—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—41no—
1423C42—41no—
1424C42—262no—
1425C42—262no—
1426C42—262no—
1427C42—262no—
1428C42—262no—
1429C42—262no—
1430C42—262no—
1431C42—262no—
1432C42—262no—
1433C42—521no—
1434C42—521no—
1435C42—521no—
1436C42—521no—
1437C42—521no—
1438C42—521no—
1439C13#3419911yescharacteristic, complemented, Sylow
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—132no—
1451C23—132no—
1452C23—132no—
1453C23—132no—
1454C23—132no—
1455C23—132no—
1456C23—1316no—
1457C23—132no—
1458C23—268no—
1459C23—261no—
1460C23—261no—
1461C23—261no—
1462C23—261no—
1463C23—261no—
1464C23—261no—
1465C23—261no—
1466C23—261no—
1467C23—261no—
1468C23—261no—
1469C23—261no—
1470C23—261no—
1471C23—261no—
1472C23—261no—
1473C23—524no—
1474C23—524no—
1475C23—524no—
1476C23—524no—
1477C23—524no—
1478C23—524no—
1479C23—524no—
1480C23—524no—
1481C23—1042no—
1482C23—1042no—
1483C23—1042no—
1484C23—1042no—
1485C23C22×C4×D1312yes—
1486C23C22×C4×D1312yes—
1487C23C2×D4×D1312yes—
1488C23#41×D1312yes—
1489C23C24×D1311yescharacteristic
1490D4—28no—
1491D4—268no—
1492D4—268no—
1493D4—268no—
1494C2×C4—28no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—82no—
1530C2×C4—132no—
1531C2×C4—132no—
1532C2×C4—132no—
1533C2×C4—132no—
1534C2×C4—132no—
1535C2×C4—132no—
1536C2×C4—132no—
1537C2×C4—268no—
1538C2×C4—268no—
1539C2×C4—268no—
1540C2×C4—268no—
1541C2×C4—268no—
1542C2×C4—268no—
1543C2×C4—261no—
1544C2×C4—261no—
1545C2×C4—261no—
1546C2×C4—261no—
1547C2×C4—261no—
1548C2×C4—261no—
1549C2×C4—261no—
1550C2×C4—261no—
1551C2×C4—261no—
1552C2×C4—261no—
1553C2×C4—261no—
1554C2×C4—261no—
1555C2×C4—261no—
1556C2×C4—261no—
1557C2×C4—261no—
1558C2×C4—261no—
1559C2×C4—261no—
1560C2×C4—261no—
1561C2×C4—261no—
1562C2×C4—261no—
1563C2×C4—261no—
1564C2×C4—261no—
1565C2×C4—261no—
1566C2×C4—261no—
1567C2×C4—261no—
1568C2×C4—261no—
1569C2×C4—261no—
1570C2×C4—261no—
1571C2×C4—261no—
1572C2×C4—261no—
1573C2×C4—261no—
1574C2×C4—261no—
1575C2×C4—524no—
1576C2×C4—524no—
1577C2×C4—524no—
1578C2×C4—524no—
1579C2×C4—524no—
1580C2×C4—524no—
1581C2×C4—1042no—
1582C2×C4—1042no—
1583C2×C4—1042no—
1584C2×C4—1042no—
1585C2×C4—1042no—
1586C2×C4C22×C4×D1312yes—
1587C2×C4C22×C4×D1312yes—
1588C2×C4C22×C4×D1312yes—
1589C2×C4C22×C4×D1312yes—
1590C2×C4C22×C4×D1312yes—
1591C2×C4C2×D4×D1312yes—
1592C2×C4C2×D4×D1312yes—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—134no—
1607C22—134no—
1608C22—262no—
1609C22—262no—
1610C22—262no—
1611C22—262no—
1612C22—262no—
1613C22—262no—
1614C22—262no—
1615C22—262no—
1616C22—262no—
1617C22—262no—
1618C22—262no—
1619C22—262no—
1620C22—262no—
1621C22—262no—
1622C22—262no—
1623C22—5216no—
1624C22—521no—
1625C22—521no—
1626C22—521no—
1627C22—521no—
1628C22—1048no—
1629C22C4×D4×D1314yes—
1630C22C23×C4×D1311yescharacteristic
1631C22C22×D4×D1311yescharacteristic
1632C22C2×#41×D1311yescharacteristic
1633C22#1171964811yescharacteristic
1634C22#1171964811yescharacteristic
1635C22#1171965011yescharacteristic
1636C22#1171965211yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—22no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—262no—
1651C4—262no—
1652C4—262no—
1653C4—262no—
1654C4—262no—
1655C4—262no—
1656C4—262no—
1657C4—521no—
1658C4—521no—
1659C4—521no—
1660C4—521no—
1661C4—521no—
1662C4—521no—
1663C2—24no—
1664C2—42no—
1665C2—264no—
1666C2—264no—
1667C2—522no—
1668C2C2×C4×D4×D1311yescharacteristic
1669C2#1312803511yescharacteristic
1670C2#1312803611yescharacteristic
1671C2#1312847311yescharacteristic
1672C2#1312847511yescharacteristic
1673C2#1312852711yescharacteristic
1674C2#1312853111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2359C2
socle, cosocleC23×C13C25
prime radicalC22×D4×D13C22
hypercenter#2359D13
hypocenterC13#34199
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
3. C2×D13×#117C2semidirect
4. #13117834C2semidirect
5. #13117832C2semidirect
6. #13117830C2semidirect
7. #13117828C2semidirect
8. #13117826C2semidirect
9. #13117824C2semidirect
10. #13117822C2semidirect
11. #13117704C2semidirect
12. #13117702C2semidirect
13. #13117702C2semidirect
14. #13117701C2semidirect
15. #13117684C2semidirect
16. #13117683C2semidirect
17. #13117680C2semidirect
18. #13117679C2semidirect
19. #13117509C2semidirect
20. #13117506C2semidirect
21. #13117503C2semidirect
22. #13117500C2semidirect
23. #13117447C2semidirect
25. #13117363C2semidirect
26. C4×#88148C2semidirect
27. #13117357C2semidirect
28. C4×#88137C2semidirect
29. C2×#11718325C2semidirect
30. #13117188C2semidirect
31. C13×#2359C2semidirect
36. C2×C13×#117C22semidirect
45. C2×#88180C22semidirect
46. D13×#123C4semidirect
57. C2×C4⋊C4×D13C22semidirect
58. C2×C4⋊C4×D13C22semidirect
70. C2×#88131C22semidirect
71. C2×#88131C22semidirect
76. C2×C42×D13C22semidirect
77. C2×C42×D13C22semidirect
78. C13×#389C22semidirect
79. C13×#388C22semidirect
80. C13×#388C22semidirect
81. C13×#387C22semidirect
82. C13×#387C22semidirect
84. C13×#385C22semidirect
85. C13×#385C22semidirect
86. C4×C13×C4⋊C4C22semidirect
87. C4×C13×C22⋊C4C22semidirect
88. C4×C13×C22⋊C4C22semidirect
89. C2×C13×#95C22semidirect
92. #11718871C22semidirect
93. #11718871C22semidirect
94. C4×C22⋊Dic13C22semidirect
95. C4×C22⋊Dic13C22semidirect
96. C2×#88071C22semidirect
97. C2×#88071C22semidirect
98. C2×#88071C22semidirect
99. #11718651C22semidirect
100. #11718651C22semidirect
101. #11718650C22semidirect
102. #11718650C22semidirect
103. #11718650C22semidirect
104. #11718650C22semidirect
107. #11718646C22semidirect
108. #11718642C22semidirect
109. #11718642C22semidirect
110. #11718639C22semidirect
111. #11718639C22semidirect
112. C4⋊C4×Dic13C22semidirect
113. C4⋊C4×Dic13C22semidirect
114. #11718634C22semidirect
115. #11718633C22semidirect
116. #11718633C22semidirect
122. #11718612C22semidirect
123. #11718612C22semidirect
124. #11718611C22semidirect
125. #11718611C22semidirect
126. #11718607C22semidirect
127. #11718607C22semidirect
128. #11718606C22semidirect
129. #11718606C22semidirect
130. #11718605C22semidirect
131. #11718605C22semidirect
132. C22⋊C4×Dic13C22semidirect
133. C22⋊C4×Dic13C22semidirect
134. C22⋊C4×Dic13C22semidirect
135. C22⋊C4×Dic13C22semidirect
136. #11718601C22semidirect
137. #11718601C22semidirect
140. C4×#6103C22semidirect
141. C4×#6103C22semidirect
142. C4×#6103C22semidirect
143. C4×#6103C22semidirect
144. C4×C4⋊Dic13C22semidirect
145. #11718594C22semidirect
146. #11718594C22semidirect
147. C4×#6101C22semidirect
148. C4×#6101C22semidirect
149. #11718589C22semidirect
150. #11718331C22semidirect
151. #11718331C22semidirect
152. #11718330C22semidirect
153. #11718330C22semidirect
154. #11718329C22semidirect
155. #11718329C22semidirect
156. #11718329C22semidirect
157. #11718329C22semidirect
162. #11718327C22semidirect
163. #11718327C22semidirect
164. #11718327C22semidirect
165. #11718327C22semidirect
174. #11718325C22semidirect
175. #11718325C22semidirect
176. #11718325C22semidirect
177. #11718325C22semidirect
178. #11718316C22semidirect
179. #11718316C22semidirect
180. #11718315C22semidirect
181. #11718315C22semidirect
182. #11718314C22semidirect
183. #11718314C22semidirect
184. #11718313C22semidirect
185. #11718313C22semidirect
186. #11718310C22semidirect
187. #11718310C22semidirect
188. #11718308C22semidirect
189. #11718308C22semidirect
209. C22×C4×D13C2×C4semidirect
223. C13×#123C2×C4semidirect
254. #88189C2×C4semidirect
256. #88183C2×C4semidirect
323. #88148C2×C4semidirect
324. #88148C2×C4semidirect
331. C4⋊C4×D13C2×C4semidirect
332. C4⋊C4×D13C2×C4semidirect
333. #88140C2×C4semidirect
334. #88137C2×C4semidirect
335. #88137C2×C4semidirect
340. C22⋊C4×D13C2×C4semidirect
341. C22⋊C4×D13C2×C4semidirect
342. C22⋊C4×D13C2×C4semidirect
613. #2359D13semidirect
817. C2×#117C2×D13semidirect
840. #389C2×D13semidirect
855. #388C2×D13semidirect
856. #388C2×D13semidirect
871. #387C2×D13semidirect
872. #387C2×D13semidirect
895. #385C2×D13semidirect
896. #385C2×D13semidirect
920. C4×C4⋊C4C2×D13semidirect
939. C4×C22⋊C4C2×D13semidirect
940. C4×C22⋊C4C2×D13semidirect
944. C2×#95C2×D13semidirect
1055. #123C4×D13semidirect
1439. C13#34199semidirect

Maximal subgroups

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

subgroupindex
C2×D13×#1232
C2×#117192502
C2×D13×#1172
#131178342
#131178322
#131178302
#131178282
#131178262
#131178242
#131178222
#131177042
#131177022
#131177012
#131176842
#131176832
#131176802
#131176792
#131175092
#131175062
#131175032
#131175002
#131174472
#131174102
#131173632
C4×#881482
#131173572
C4×#881372
C2×#117183252
#131171882
C13×#23592
#3419913