Finite Group Databasebeta

← #16031717

Subgroups — #16031717

Order 3328.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719354C211yesmaximal, characteristic, complemented
2C22×#88131C211yesmaximal, characteristic, complemented
3#13119104C211yesmaximal, characteristic, complemented
4#13119081C211yesmaximal, characteristic, complemented
5#13119070C211yesmaximal, characteristic, complemented
6#13119047C211yesmaximal, characteristic, complemented
7#13119038C211yesmaximal, characteristic, complemented
8#13119015C211yesmaximal, characteristic, complemented
9#13119013C211yesmaximal, characteristic, complemented
10#13118990C211yesmaximal, characteristic, complemented
11#13118979C211yesmaximal, characteristic, complemented
12#13118956C211yesmaximal, characteristic, complemented
13#13118951C211yesmaximal, characteristic, complemented
14#13118928C211yesmaximal, characteristic, complemented
15#13118649C211yesmaximal, characteristic, complemented
16#13118565C211yesmaximal, characteristic, complemented
17#13118376C211yesmaximal, characteristic
18#13118105C211yesmaximal, characteristic, complemented
19#13118094C211yesmaximal, characteristic, complemented
20#13118092C211yesmaximal, characteristic, complemented
21#13118079C211yesmaximal, characteristic, complemented
22#13117364C211yesmaximal, characteristic, complemented
23#13117346C211yesmaximal, characteristic, complemented
24#120×Dic13C211yesmaximal, characteristic, complemented
25#13117335C211yesmaximal, characteristic, complemented
26#13117330C211yesmaximal, characteristic, complemented
27#13117296C211yesmaximal, characteristic, complemented
28#13117276C211yesmaximal, characteristic, complemented
29#13117272C211yesmaximal, characteristic, complemented
30C4×D4×Dic13C211yesmaximal, characteristic, complemented
31C13×#2418C211yesmaximal, characteristic, complemented
32C24×Dic13C2211yescharacteristic
33C2×C13×#123C2211yescharacteristic
34C2×C13×#120C2211yescharacteristic
35C2×C4×D4×C13C2211yescharacteristic
36C22×C13×C22⋊C4C2211yescharacteristic
37C2×#88207C2211yescharacteristic
38C22×C22⋊Dic13C2211yescharacteristic
39C2×#88193C2211yescharacteristic
40C2×#88193C2211yescharacteristic
41C2×D4×Dic13C2211yescharacteristic
42C2×D4×Dic13C2211yescharacteristic
43C2×D4×Dic13C2211yescharacteristic
44C2×D4×Dic13C2211yescharacteristic
45C2×#88183C2211yescharacteristic, complemented
46C2×#88178C2211yescharacteristic
47C22×#6101C2211yescharacteristic
48C22×#6101C2211yescharacteristic
49C22×C4×Dic13C2211yescharacteristic
50C22×C4×Dic13C2211yescharacteristic
51C22×C4×Dic13C2211yescharacteristic, complemented
52#11719354—28no—
53C2×#88152C2211yescharacteristic, complemented
54C2×#88146C2211yescharacteristic, complemented
55C2×#88143C2211yescharacteristic, complemented
56C2×#88141C2211yescharacteristic, complemented
57C2×#88139C2211yescharacteristic
58C2×#88135C2211yescharacteristic
59C2×#88135C2211yescharacteristic
60C2×#88135C2211yescharacteristic
61C2×#88135C2211yescharacteristic, complemented
62C2×#88133C2211yescharacteristic
63C2×#88132C2211yescharacteristic, complemented
64C2×#88131—28no—
65C2×#88131C2211yescharacteristic
66C2×#88131C2211yescharacteristic
67C2×#88131C2211yescharacteristic
68C2×#88131C2211yescharacteristic
69C2×#88131C2211yescharacteristic
70C2×#88131C2211yescharacteristic
71C2×#88131C2211yescharacteristic
72C2×#88131C2211yescharacteristic
73C13×#399C2211yescharacteristic
74C13×#397C2211yescharacteristic
75C13×#394C2211yescharacteristic
76C13×#394C2211yescharacteristic
77C13×#388C2211yescharacteristic
78C13×#388C2211yescharacteristic
79C13×#386C2211yescharacteristic
80C13×#386C2211yescharacteristic
81C13×#385C2211yescharacteristic
82C13×#380C2211yescharacteristic
83C13×#379C2211yescharacteristic
84#11718908C2211yescharacteristic
85#11718884C2211yescharacteristic
86#11718883C2211yescharacteristic
87#11718881C2211yescharacteristic
88#11718881C2211yescharacteristic
89#11718881C2211yescharacteristic
90#11718881C2211yescharacteristic
91#11718874C2211yescharacteristic
92#11718874C2211yescharacteristic
93#11718871C2211yescharacteristic, complemented
94C4×C22⋊Dic13C2211yescharacteristic
95C4×C22⋊Dic13C2211yescharacteristic, complemented
96#11718655C2211yescharacteristic, complemented
97#11718653C2211yescharacteristic, complemented
98#11718651C2211yescharacteristic, complemented
99#11718645C2211yescharacteristic, complemented
100#11718643C2211yescharacteristic, complemented
101#11718641C2211yescharacteristic, complemented
102#11718641C2211yescharacteristic, complemented
103#11718639C2211yescharacteristic, complemented
104#11718639C2211yescharacteristic, complemented
105C4⋊C4×Dic13C2211yescharacteristic, complemented
106C4⋊C4×Dic13C2211yescharacteristic, complemented
107C4⋊C4×Dic13C2211yescharacteristic, complemented
108C4⋊C4×Dic13C2211yescharacteristic, complemented
109#11718635C2211yescharacteristic, complemented
110#11718634C2211yescharacteristic, complemented
111#11718633C2211yescharacteristic, complemented
112#11718622C2211yescharacteristic
113#11718622C2211yescharacteristic
114#11718620C2211yescharacteristic
115#11718620C2211yescharacteristic, complemented
116#11718619C2211yescharacteristic
117#11718619C2211yescharacteristic
118#11718619C2211yescharacteristic
119#11718619C2211yescharacteristic
120#11718618C2211yescharacteristic
121#11718618C2211yescharacteristic
122#11718618C2211yescharacteristic, complemented
123#11718614C2211yescharacteristic
124#11718613C2211yescharacteristic
125#11718613C2211yescharacteristic
126#11718613C2211yescharacteristic
127#11718613C2211yescharacteristic, complemented
128#11718612C2211yescharacteristic
129#11718612C2211yescharacteristic
130#11718611C2211yescharacteristic
131#11718611C2211yescharacteristic
132#11718611C2211yescharacteristic
133#11718611C2211yescharacteristic
134#11718610C2211yescharacteristic, complemented
135#11718609C2211yescharacteristic
136#11718609C2211yescharacteristic
137#11718609C2211yescharacteristic, complemented
138#11718608C2211yescharacteristic
139#11718607C2211yescharacteristic
140#11718607C2211yescharacteristic
141#11718607C2211yescharacteristic
142#11718607C2211yescharacteristic
143#11718607C2211yescharacteristic
144#11718607C2211yescharacteristic, complemented
145#11718606C2211yescharacteristic
146#11718606C2211yescharacteristic
147#11718605C2211yescharacteristic
148#11718605C2211yescharacteristic
149#11718605C2211yescharacteristic, complemented
150#11718603C2211yescharacteristic
151C22⋊C4×Dic13C2211yescharacteristic
152C22⋊C4×Dic13C2211yescharacteristic
153C22⋊C4×Dic13C2211yescharacteristic
154C22⋊C4×Dic13C2211yescharacteristic
155C22⋊C4×Dic13C2211yescharacteristic
156C22⋊C4×Dic13C2211yescharacteristic
157C22⋊C4×Dic13C2211yescharacteristic
158C22⋊C4×Dic13C2211yescharacteristic, complemented
159C22⋊C4×Dic13C2211yescharacteristic, complemented
160C22⋊C4×Dic13C2211yescharacteristic, complemented
161#11718601C2211yescharacteristic, complemented
162C4×C4⋊Dic13C2211yescharacteristic, complemented
163#11718594C2211yescharacteristic, complemented
164C42×Dic13C2211yescharacteristic, complemented
165#11718336C2211yescharacteristic, complemented
166#11718331C2211yescharacteristic, complemented
167#11718331C2211yescharacteristic, complemented
168#11718330C2211yescharacteristic, complemented
169#11718327C2211yescharacteristic, complemented
170#11718327C2211yescharacteristic, complemented
171#11718321C2211yescharacteristic, complemented
172#11718319C2211yescharacteristic, complemented
173#11718318C2211yescharacteristic, complemented
174#11718318C2211yescharacteristic, complemented
175#11718317C2211yescharacteristic, complemented
176#11718316C2211yescharacteristic, complemented
177#11718316C2211yescharacteristic, complemented
178#11718315C2211yescharacteristic, complemented
179#11718314C2211yescharacteristic, complemented
180#11718313C2211yescharacteristic, complemented
181#11718313C2211yescharacteristic, complemented
182#11718313C2211yescharacteristic, complemented
183#11718310C2211yescharacteristic, complemented
184#11718310C2211yescharacteristic, complemented
185#11718310C2211yescharacteristic, complemented
186#11718309C2211yescharacteristic, complemented
187#11718308C2211yescharacteristic, complemented
188#11718308C2211yescharacteristic, complemented
189C25×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C23×Dic13—24no—
201C23×Dic13—24no—
202C23×Dic13—24no—
203C23×Dic13C2311yescharacteristic
204C23×Dic13C2311yescharacteristic
205C23×Dic13C2311yescharacteristic
206C23×Dic13C2311yescharacteristic
207C23×Dic13C2311yescharacteristic
208C23×Dic13C2311yescharacteristic
209C23×Dic13C2311yescharacteristic
210C23×Dic13C2311yescharacteristic
211C23×Dic13C2311yescharacteristic
212C23×Dic13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×Dic26C2311yescharacteristic
215C13×#123—24no—
216C13×#120—24no—
217C4×D4×C13—24no—
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C22⋊C4—24no—
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊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×C42×C13C2311yescharacteristic
241#88207—24no—
242C2×C22⋊Dic13—24no—
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260C2×C22⋊Dic13C2311yescharacteristic
261#88193—24no—
262#88193—24no—
263D4×Dic13—24no—
264D4×Dic13—24no—
265D4×Dic13—24no—
266D4×Dic13—24no—
267#88183—24no—
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×C4⋊Dic13C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280C2×C4⋊Dic13C2311yescharacteristic
281C2×C4⋊Dic13C2311yescharacteristic
282C2×C4⋊Dic13C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×C4⋊Dic13C2311yescharacteristic
285#88178—24no—
286C2×#6101—24no—
287C2×#6101—24no—
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
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×Dic13—24no—
309C2×C4×Dic13—24no—
310C2×C4×Dic13—24no—
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
323C2×C4×Dic13C2311yescharacteristic
324C2×C4×Dic13C2311yescharacteristic
325C2×C4×Dic13C2311yescharacteristic
326C2×C4×Dic13C2311yescharacteristic
327C2×C4×Dic13C2311yescharacteristic
328C2×C4×Dic13C2311yescharacteristic
329C2×C4×Dic13C2311yescharacteristic
330#88152—24no—
331#88146—24no—
332#88143—24no—
333#88141—24no—
334#88139—24no—
335#88135—24no—
336#88135—24no—
337#88135—24no—
338#88135—24no—
339#88133—24no—
340#88132—24no—
341#88131—24no—
342#88131—24no—
343#88131—24no—
344#88131—24no—
345#88131—24no—
346#88131—24no—
347#88131—24no—
348#88131D418yescomplemented
349C13×#95C2311yescharacteristic
350C13×#95C2311yescharacteristic
351C13×#95C2311yescharacteristic
352C13×#95C2311yescharacteristic
353C13×#95C2311yescharacteristic
354C13×#95C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
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#34740—131nomaximal, Sylow
386C24×C13—22no—
387C24×C13—22no—
388C24×C13—22no—
389C24×C13—22no—
390C24×C13—22no—
391C24×C13—41no—
392C24×C13—41no—
393C24×C13C2411yescharacteristic
394C24×C13C2411yescharacteristic
395C24×C13C2411yescharacteristic
396C24×C13C2411yescharacteristic
397C23×D13C2411yescharacteristic
398C2×D4×C13—22no—
399C2×D4×C13—22no—
400C2×D4×C13—22no—
401C2×D4×C13—22no—
402C2×D4×C13—22no—
403C2×D4×C13—22no—
404C2×D4×C13—41no—
405C2×D4×C13—41no—
406C2×D4×C13#4114yes—
407C22×C4×C13—22no—
408C22×C4×C13—22no—
409C22×C4×C13—22no—
410C22×C4×C13—22no—
411C22×C4×C13—22no—
412C22×C4×C13—22no—
413C22×C4×C13—41no—
414C22×C4×C13—41no—
415C22×C4×C13—41no—
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C22×C4×C13C2411yescharacteristic
426C22×C4×C13C2411yescharacteristic
427C2×C22⋊D13—22no—
428C2×C22⋊D13—22no—
429C2×C22⋊D13—22no—
430C2×C22⋊D13—22no—
431C2×C22⋊D13—22no—
432C2×C22⋊D13—22no—
433C2×C22⋊D13—22no—
434C2×C22⋊D13—22no—
435C2×C22⋊D13—22no—
436C2×C22⋊D13—41no—
437C2×C22⋊D13—41no—
438C2×C22⋊D13—41no—
439C22×Dic13—232no—
440C22×Dic13—22no—
441C22×Dic13—22no—
442C22×Dic13—22no—
443C22×Dic13—22no—
444C22×Dic13—22no—
445C22×Dic13—22no—
446C22×Dic13—22no—
447C22×Dic13—22no—
448C22×Dic13—22no—
449C22×Dic13—22no—
450C22×Dic13—22no—
451C22×Dic13—22no—
452C22×Dic13—22no—
453C22×Dic13—22no—
454C22×Dic13—22no—
455C22×Dic13—22no—
456C22×Dic13—22no—
457C22×Dic13—22no—
458C22×Dic13—22no—
459C22×Dic13—22no—
460C22×Dic13—22no—
461C22×Dic13—22no—
462C22×Dic13—22no—
463C22×Dic13—22no—
464C22×Dic13—41no—
465C22×Dic13—41no—
466C22×Dic13—41no—
467C22×Dic13C2×D414yes—
468C22×Dic13#4114yes—
469C22×Dic13#4114yes—
470C22×Dic13C2411yescharacteristic
471C22×Dic13C2411yescharacteristic
472C22×Dic13C2411yescharacteristic
473C22×Dic13C2411yescharacteristic
474C22×Dic13C2411yescharacteristic
475C22×Dic13C2411yescharacteristic
476C22×Dic13C2411yescharacteristic
477C22×Dic13C2411yescharacteristic
478C22×Dic13C2411yescharacteristic
479C22×Dic13C2411yescharacteristic
480C22×Dic13C2411yescharacteristic
481C22×Dic13C2411yescharacteristic
482C22×Dic13C2411yescharacteristic
483C22×Dic13C2411yescharacteristic
484C22×Dic13C2411yescharacteristic
485C2×C4×D13—22no—
486C2×C4×D13—22no—
487C2×C4×D13—22no—
488C2×Dic26—22no—
489C2×Dic26—22no—
490C2×Dic26—41no—
491C13×C4⋊C4—22no—
492C13×C4⋊C4—22no—
493C13×C4⋊C4—22no—
494C13×C4⋊C4—41no—
495C13×C4⋊C4—41no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—22no—
499C13×C22⋊C4—22no—
500C13×C22⋊C4—22no—
501C13×C22⋊C4—22no—
502C13×C22⋊C4—22no—
503C13×C22⋊C4—22no—
504C13×C22⋊C4—22no—
505C13×C22⋊C4—22no—
506C13×C22⋊C4—22no—
507C13×C22⋊C4—22no—
508C13×C22⋊C4—41no—
509C13×C22⋊C4—41no—
510C13×C22⋊C4—41no—
511C13×C22⋊C4C2×D414yes—
512C42×C13—22no—
513C22⋊Dic13—22no—
514C22⋊Dic13—22no—
515C22⋊Dic13—22no—
516C22⋊Dic13—22no—
517C22⋊Dic13—22no—
518C22⋊Dic13—22no—
519C22⋊Dic13—22no—
520C22⋊Dic13—22no—
521C22⋊Dic13—22no—
522C22⋊Dic13—22no—
523C22⋊Dic13—22no—
524C22⋊Dic13—22no—
525C22⋊Dic13—22no—
526C22⋊Dic13—22no—
527C22⋊Dic13—41no—
528C22⋊Dic13—41no—
529C22⋊Dic13C2×D414yes—
530C22⋊Dic13#4114yes—
531#6103—22no—
532#6103—22no—
533#6103—22no—
534#6103—22no—
535#6103—22no—
536#6103—22no—
537#6103—22no—
538#6103—41no—
539#6103—41no—
540#6103—41no—
541C4⋊Dic13—22no—
542C4⋊Dic13—22no—
543C4⋊Dic13—22no—
544C4⋊Dic13—22no—
545C4⋊Dic13—22no—
546C4⋊Dic13—22no—
547C4⋊Dic13—41no—
548#6101—22no—
549#6101—22no—
550#6101—22no—
551#6101—22no—
552#6101—22no—
553#6101—22no—
554#6101—22no—
555#6101—22no—
556#6101—22no—
557#6101—22no—
558#6101—22no—
559#6101—22no—
560#6101—22no—
561#6101—22no—
562#6101—22no—
563#6101—41no—
564#6101—41no—
565#6101—41no—
566#6101C2×D414yes—
567#6101C2×D414yes—
568C4×Dic13—22no—
569C4×Dic13—22no—
570C4×Dic13—22no—
571C4×Dic13—22no—
572C4×Dic13—22no—
573C4×Dic13—22no—
574C4×Dic13—22no—
575C4×Dic13—22no—
576C4×Dic13—22no—
577C4×Dic13—22no—
578C4×Dic13—22no—
579C4×Dic13—22no—
580C4×Dic13—22no—
581C4×Dic13—22no—
582C4×Dic13—22no—
583C4×Dic13—41no—
584C4×Dic13—41no—
585C4×Dic13C2×D414yes—
586C4×Dic13C2×D414yes—
587C2×#529—131no—
588C22×#117—131no—
589#2481—131no—
590#2480—131no—
591#2479—131no—
592#2478—131no—
593#2477—131no—
594#2476—131no—
595#2475—131no—
596#2474—131no—
597#2473—131no—
598#2472—131no—
599#2471—131no—
600#2470—131no—
601#2449—131no—
602#2443—131no—
603#2424—131no—
604#2418D1311yescharacteristic, complemented
605#2396—131no—
606#2395—131no—
607#2395—131no—
608#2392—131no—
609C4×C22⋊Q8—131no—
610C4×#121—131no—
611C4×#120—131no—
612C4×#120—131no—
613#2298—131no—
614#2293—131no—
615#2290—131no—
616#2290—131no—
617C42×D4—131no—
618C23×C13—21no—
619C23×C13—21no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—28no—
623C23×C13—21no—
624C23×C13—21no—
625C23×C13—21no—
626C23×C13—21no—
627C23×C13—21no—
628C23×C13—21no—
629C23×C13—21no—
630C23×C13—21no—
631C23×C13—21no—
632C23×C13—21no—
633C23×C13—21no—
634C23×C13—21no—
635C23×C13—21no—
636C23×C13—21no—
637C23×C13—21no—
638C23×C13—21no—
639C23×C13—21no—
640C23×C13—21no—
641C23×C13—44no—
642C23×C13—44no—
643C23×C13—44no—
644C23×C13—44no—
645C23×C13—44no—
646C23×C13—44no—
647C23×C13C22×D412yes—
648C23×C13C2×#4112yes—
649C23×C13C2×#4112yes—
650C23×C13C2×#4112yes—
651C23×C13C2×#4112yes—
652C23×C13C2×#4112yes—
653C23×C13C2511yescharacteristic
654C22×D13—21no—
655C22×D13—21no—
656C22×D13—21no—
657C22×D13—21no—
658C22×D13—21no—
659C22×D13—21no—
660C22×D13—21no—
661D4×C13—28no—
662D4×C13—44no—
663D4×C13—44no—
664C2×C4×C13—21no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—21no—
675C2×C4×C13—21no—
676C2×C4×C13—21no—
677C2×C4×C13—21no—
678C2×C4×C13—21no—
679C2×C4×C13—21no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—21no—
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—44no—
695C2×C4×C13—44no—
696C2×C4×C13—44no—
697C2×C4×C13C22×D412yes—
698C2×C4×C13C22×D412yes—
699C2×C4×C13C2×#4112yes—
700C22⋊D13—44no—
701C22⋊D13—44no—
702C22⋊D13—44no—
703C22⋊D13—44no—
704C2×Dic13—28no—
705C2×Dic13—28no—
706C2×Dic13—28no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—28no—
722C2×Dic13—28no—
723C2×Dic13—28no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
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—44no—
746C2×Dic13—44no—
747C2×Dic13—44no—
748C2×Dic13—44no—
749C2×Dic13C22×D412yes—
750C2×Dic13C22×D412yes—
751C2×Dic13C22×D412yes—
752C2×Dic13C22×D412yes—
753C2×Dic13C2×#4112yes—
754C2×Dic13C2×#4112yes—
755C2×Dic13C2×#4112yes—
756C2×Dic13C2×#4112yes—
757C2×Dic13C2×#4112yes—
758C2×Dic13C2×#4112yes—
759C4×D13—44no—
760Dic26—44no—
761C24×C4—131no—
762#529—268no—
763C2×#126—131no—
764C2×#126—131no—
765C2×#125—131no—
766C2×#124—131no—
767C2×#123—131no—
768C2×#123C2×D1311yescharacteristic
769C2×C22⋊Q8—131no—
770C2×C22⋊Q8—131no—
771C2×#121—131no—
772C2×#121—131no—
773C2×#120—131no—
774C2×#120C2×D1311yescharacteristic
775C2×C4×Q8—131no—
776C2×C4×D4—131no—
777C2×C4×D4—131no—
778C2×C4×D4—131no—
779C2×C4×D4—131no—
780C2×C4×D4—131no—
781C2×C4×D4—131no—
782C2×C4×D4—131no—
783C2×C4×D4—131no—
784C2×C4×D4C2×D1311yescharacteristic
785C2×#117—131no—
786C2×#117—131no—
787C2×#117—131no—
788C2×#117—131no—
789C2×#117—131no—
790C2×#117—131no—
791C2×#117—131no—
792C2×#117—131no—
793C2×#117—131no—
794C2×#117—268no—
795C22×C4⋊C4—131no—
796C22×C4⋊C4—131no—
797C22×C22⋊C4—131no—
798C22×C22⋊C4C2×D1311yescharacteristic
799C22×C42—131no—
800C22×C42—131no—
801C22×C42—131no—
802#400—131no—
803#400—131no—
804#400—131no—
805#399—131no—
806#399—131no—
807#399C2×D1311yescharacteristic
808#398—131no—
809#398—131no—
810#398—131no—
811#398—131no—
812#398—131no—
813#397—131no—
814#397—131no—
815#397—131no—
816#397—131no—
817#397—131no—
818#397—131no—
819#397C2×D1311yescharacteristic
820#396—131no—
821#396—131no—
822#396—131no—
823#396—131no—
824#395—131no—
825#394—131no—
826#394—131no—
827#394—131no—
828#394—131no—
829#394—131no—
830#394C2×D1311yescharacteristic
831#394C2×D1311yescharacteristic
832#393—131no—
833#392—131no—
834#391—131no—
835#390—131no—
836#390—131no—
837#390—131no—
838#389—131no—
839#389—131no—
840#389—131no—
841#389—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#388C2×D1311yescharacteristic
855#388C2×D1311yescharacteristic
856#387—131no—
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#386—131no—
867#386—131no—
868#386—131no—
869#386—131no—
870#386—131no—
871#386—131no—
872#386—131no—
873#386—131no—
874#386—131no—
875#386—131no—
876#386C2×D1311yescharacteristic
877#386C2×D1311yescharacteristic
878#385—131no—
879#385—131no—
880#385—131no—
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#385C2×D1311yescharacteristic
890#380—131no—
891#380C2×D1311yescharacteristic
892#379—131no—
893#379C2×D1311yescharacteristic
894C4×C4⋊C4—131no—
895C4×C4⋊C4—131no—
896C4×C4⋊C4—131no—
897C4×C4⋊C4—131no—
898C4×C4⋊C4—131no—
899C4×C4⋊C4—131no—
900C4×C4⋊C4—131no—
901C4×C4⋊C4—131no—
902C4×C22⋊C4—131no—
903C4×C22⋊C4—131no—
904C4×C22⋊C4—131no—
905C4×C22⋊C4—131no—
906C4×C22⋊C4—131no—
907C4×C22⋊C4—131no—
908C4×C22⋊C4—131no—
909C4×C22⋊C4—131no—
910C4×C22⋊C4—131no—
911C4×C22⋊C4—131no—
912C4×C22⋊C4—131no—
913C4×C22⋊C4—131no—
914C4×C22⋊C4—131no—
915C4×C22⋊C4—131no—
916#376—131no—
917C43—131no—
918C22×C13—22no—
919C22×C13—22no—
920C22×C13—22no—
921C22×C13—22no—
922C22×C13—22no—
923C22×C13—22no—
924C22×C13—22no—
925C22×C13—22no—
926C22×C13—22no—
927C22×C13—22no—
928C22×C13—22no—
929C22×C13—22no—
930C22×C13—22no—
931C22×C13—22no—
932C22×C13—22no—
933C22×C13—416no—
934C22×C13—41no—
935C22×C13—41no—
936C22×C13—41no—
937C22×C13—41no—
938C22×C13—41no—
939C22×C13—41no—
940C22×C13—41no—
941C22×C13—41no—
942C22×C13—41no—
943C22×C13—41no—
944C22×C13—41no—
945C22×C13—41no—
946C22×C13#52914yescomplemented
947C22×C13C23×D411yescharacteristic
948C22×C13C22×#4111yescharacteristic
949C22×C13C22×#4111yescharacteristic
950C22×C13C22×#4111yescharacteristic
951C22×C13C22×#4111yescharacteristic
952C22×C13#58511yescharacteristic
953C22×C13#58511yescharacteristic
954C2×D13—41no—
955C2×D13—41no—
956C2×D13—41no—
957C2×D13—41no—
958C2×D13—41no—
959C2×D13—41no—
960C2×D13—41no—
961C4×C13—22no—
962C4×C13—22no—
963C4×C13—22no—
964C4×C13—41no—
965C4×C13—41no—
966C4×C13—41no—
967C4×C13—41no—
968C4×C13—41no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13—41no—
972Dic13—22no—
973Dic13—22no—
974Dic13—22no—
975Dic13—22no—
976Dic13—22no—
977Dic13—22no—
978Dic13—22no—
979Dic13—41no—
980Dic13—41no—
981Dic13—41no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985Dic13—41no—
986Dic13#52514yes—
987C25C22×D1311yescharacteristic
988C22×Q8—131no—
989C22×D4—131no—
990C22×D4—131no—
991C22×D4—131no—
992C22×D4—131no—
993C22×D4C22×D1311yescharacteristic
994C22×D4C22×D1311yescharacteristic
995C22×D4C22×D1311yescharacteristic
996C23×C4—131no—
997C23×C4—131no—
998C23×C4—131no—
999C23×C4—131no—
1000C23×C4—131no—
1001C23×C4—131no—
1002C23×C4—131no—
1003C23×C4—131no—
1004C23×C4—131no—
1005C23×C4—131no—
1006C23×C4—131no—
1007C23×C4—264no—
1008C23×C4—264no—
1009C23×C4—264no—
1010C23×C4C22×D1311yescharacteristic
1011C23×C4C22×D1311yescharacteristic
1012C23×C4C22×D1311yescharacteristic
1013#126—264no—
1014#126—264no—
1015#125—264no—
1016#124—264no—
1017#123—24no—
1018#123—264no—
1019C22⋊Q8—264no—
1020C22⋊Q8—264no—
1021#121—264no—
1022#121—264no—
1023#120—24no—
1024#120—264no—
1025C4×Q8—264no—
1026C4×D4—24no—
1027C4×D4—264no—
1028C4×D4—264no—
1029C4×D4—264no—
1030C4×D4—264no—
1031C4×D4—264no—
1032C4×D4—264no—
1033C4×D4—264no—
1034C4×D4—264no—
1035#117—138no—
1036#117—264no—
1037#117—264no—
1038#117—264no—
1039#117—264no—
1040#117—264no—
1041#117—264no—
1042#117—264no—
1043#117—264no—
1044C2×C4⋊C4—131no—
1045C2×C4⋊C4—131no—
1046C2×C4⋊C4—131no—
1047C2×C4⋊C4—131no—
1048C2×C4⋊C4—131no—
1049C2×C4⋊C4—131no—
1050C2×C4⋊C4—131no—
1051C2×C4⋊C4—131no—
1052C2×C4⋊C4—131no—
1053C2×C4⋊C4—131no—
1054C2×C4⋊C4—131no—
1055C2×C4⋊C4—131no—
1056C2×C4⋊C4—131no—
1057C2×C4⋊C4—131no—
1058C2×C4⋊C4—131no—
1059C2×C4⋊C4—131no—
1060C2×C4⋊C4—131no—
1061C2×C4⋊C4—131no—
1062C2×C4⋊C4—131no—
1063C2×C4⋊C4—131no—
1064C2×C4⋊C4—131no—
1065C2×C4⋊C4—131no—
1066C2×C4⋊C4—131no—
1067C2×C4⋊C4—131no—
1068C2×C4⋊C4—131no—
1069C2×C4⋊C4—131no—
1070C2×C4⋊C4—131no—
1071C2×C4⋊C4—264no—
1072C2×C4⋊C4—264no—
1073C2×C4⋊C4C22×D1311yescharacteristic
1074C2×C4⋊C4C22×D1311yescharacteristic
1075C2×C4⋊C4C22×D1311yescharacteristic
1076C2×C4⋊C4C22×D1311yescharacteristic
1077C2×C4⋊C4C22×D1311yescharacteristic
1078C2×C22⋊C4—24no—
1079C2×C22⋊C4—131no—
1080C2×C22⋊C4—131no—
1081C2×C22⋊C4—131no—
1082C2×C22⋊C4—131no—
1083C2×C22⋊C4—131no—
1084C2×C22⋊C4—131no—
1085C2×C22⋊C4—131no—
1086C2×C22⋊C4—131no—
1087C2×C22⋊C4—131no—
1088C2×C22⋊C4—131no—
1089C2×C22⋊C4—131no—
1090C2×C22⋊C4—131no—
1091C2×C22⋊C4—131no—
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—131no—
1094C2×C22⋊C4—131no—
1095C2×C22⋊C4—131no—
1096C2×C22⋊C4—131no—
1097C2×C22⋊C4—131no—
1098C2×C22⋊C4—131no—
1099C2×C22⋊C4—131no—
1100C2×C22⋊C4—131no—
1101C2×C22⋊C4—131no—
1102C2×C22⋊C4—131no—
1103C2×C22⋊C4—131no—
1104C2×C22⋊C4—131no—
1105C2×C22⋊C4—131no—
1106C2×C22⋊C4—131no—
1107C2×C22⋊C4—264no—
1108C2×C22⋊C4C22×D1311yescharacteristic
1109C2×C22⋊C4C22×D1311yescharacteristic
1110C2×C22⋊C4C22×D1311yescharacteristic
1111C2×C22⋊C4C22×D1311yescharacteristic
1112C2×C22⋊C4C22×D1311yescharacteristic
1113C2×C22⋊C4C22×D1311yescharacteristic
1114C2×C22⋊C4C22×D1311yescharacteristic
1115C2×C22⋊C4C22×D1311yescharacteristic
1116C2×C22⋊C4C22×D1311yescharacteristic
1117C2×C22⋊C4C22×D1311yescharacteristic
1118C2×C22⋊C4C22×D1311yescharacteristic
1119C2×C22⋊C4C22×D1311yescharacteristic
1120C2×C22⋊C4C22×D1311yescharacteristic
1121C2×C22⋊C4C22×D1311yescharacteristic
1122C2×C22⋊C4C22×D1311yescharacteristic
1123C2×C22⋊C4C22×D1311yescharacteristic
1124C2×C42—131no—
1125C2×C42—131no—
1126C2×C42—131no—
1127C2×C42—131no—
1128C2×C42—131no—
1129C2×C42—131no—
1130C2×C42—131no—
1131C2×C42—131no—
1132C2×C42—131no—
1133C2×C42—131no—
1134C2×C42—131no—
1135C2×C42—131no—
1136C2×C42—131no—
1137C2×C42—131no—
1138C2×C42—131no—
1139C2×C42—131no—
1140C2×C42—131no—
1141C2×C42—131no—
1142C2×C42—131no—
1143C2×C42—264no—
1144C2×C42—264no—
1145C2×C42—264no—
1146C2×C42C22×D1311yescharacteristic
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95—131no—
1157#95—131no—
1158#95—131no—
1159#95—131no—
1160#95—131no—
1161#95—131no—
1162#95—131no—
1163#95—131no—
1164#95—131no—
1165#95—131no—
1166#95—131no—
1167#95—131no—
1168#95—131no—
1169#95—131no—
1170#95—131no—
1171#95—131no—
1172#95—131no—
1173#95—131no—
1174#95—131no—
1175#95—131no—
1176#95—131no—
1177#95C22×D1311yescharacteristic
1178#95C22×D1311yescharacteristic
1179#95C22×D1311yescharacteristic
1180#95C22×D1311yescharacteristic
1181#95C22×D1311yescharacteristic
1182#95C22×D1311yescharacteristic
1183C2×C13—24no—
1184C2×C13—42no—
1185C2×C13—42no—
1186C2×C13—42no—
1187C2×C13C2×#52511yescharacteristic
1188C2×C13C2×#52911yescharacteristic
1189C2×C13#345511yescharacteristic
1190C2×C13D4×#4111yescharacteristic
1191C2×C13D4×#4111yescharacteristic
1192C2×C13#347511yescharacteristic
1193C2×C13#347511yescharacteristic
1194D13—81no—
1195C24—22no—
1196C24—22no—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—41no—
1201C24—41no—
1202C24—131no—
1203C24C23×D1311yescharacteristic
1204C24C23×D1311yescharacteristic
1205C24C23×D1311yescharacteristic
1206C24C23×D1311yescharacteristic
1207C2×Q8—262no—
1208C2×Q8—262no—
1209C2×Q8—521no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—262no—
1219C2×D4—262no—
1220C2×D4—262no—
1221C2×D4—262no—
1222C2×D4—262no—
1223C2×D4—262no—
1224C2×D4—262no—
1225C2×D4—262no—
1226C2×D4—262no—
1227C2×D4—521no—
1228C2×D4—521no—
1229C2×D4—521no—
1230C2×D4#612914yes—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—131no—
1241C22×C4—134no—
1242C22×C4—134no—
1243C22×C4—134no—
1244C22×C4—131no—
1245C22×C4—131no—
1246C22×C4—131no—
1247C22×C4—131no—
1248C22×C4—131no—
1249C22×C4—131no—
1250C22×C4—131no—
1251C22×C4—131no—
1252C22×C4—131no—
1253C22×C4—131no—
1254C22×C4—131no—
1255C22×C4—131no—
1256C22×C4—131no—
1257C22×C4—131no—
1258C22×C4—262no—
1259C22×C4—262no—
1260C22×C4—262no—
1261C22×C4—262no—
1262C22×C4—262no—
1263C22×C4—262no—
1264C22×C4—262no—
1265C22×C4—262no—
1266C22×C4—262no—
1267C22×C4—262no—
1268C22×C4—262no—
1269C22×C4—262no—
1270C22×C4—262no—
1271C22×C4—262no—
1272C22×C4—262no—
1273C22×C4—262no—
1274C22×C4—262no—
1275C22×C4—262no—
1276C22×C4—262no—
1277C22×C4—262no—
1278C22×C4—262no—
1279C22×C4—262no—
1280C22×C4—2632no—
1281C22×C4—262no—
1282C22×C4—262no—
1283C22×C4—262no—
1284C22×C4—262no—
1285C22×C4—262no—
1286C22×C4—521no—
1287C22×C4—521no—
1288C22×C4—521no—
1289C22×C4C23×D1311yescharacteristic
1290C22×C4C23×D1311yescharacteristic
1291C22×C4C23×D1311yescharacteristic
1292C22×C4C23×D1311yescharacteristic
1293C22×C4C23×D1311yescharacteristic
1294C22×C4C23×D1311yescharacteristic
1295C22×C4C23×D1311yescharacteristic
1296C22×C4C23×D1311yescharacteristic
1297C22×C4C23×D1311yescharacteristic
1298C22×C4C23×D1311yescharacteristic
1299C22×C4C23×D1311yescharacteristic
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—134no—
1306C4⋊C4—134no—
1307C4⋊C4—262no—
1308C4⋊C4—262no—
1309C4⋊C4—262no—
1310C4⋊C4—262no—
1311C4⋊C4—262no—
1312C4⋊C4—262no—
1313C4⋊C4—262no—
1314C4⋊C4—262no—
1315C4⋊C4—262no—
1316C4⋊C4—262no—
1317C4⋊C4—262no—
1318C4⋊C4—262no—
1319C4⋊C4—262no—
1320C4⋊C4—262no—
1321C4⋊C4—262no—
1322C4⋊C4—262no—
1323C4⋊C4—262no—
1324C4⋊C4—262no—
1325C4⋊C4—262no—
1326C4⋊C4—262no—
1327C4⋊C4—262no—
1328C4⋊C4—521no—
1329C4⋊C4—521no—
1330C4⋊C4—521no—
1331C4⋊C4—521no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—134no—
1348C22⋊C4—134no—
1349C22⋊C4—262no—
1350C22⋊C4—262no—
1351C22⋊C4—262no—
1352C22⋊C4—262no—
1353C22⋊C4—262no—
1354C22⋊C4—262no—
1355C22⋊C4—262no—
1356C22⋊C4—262no—
1357C22⋊C4—262no—
1358C22⋊C4—262no—
1359C22⋊C4—262no—
1360C22⋊C4—262no—
1361C22⋊C4—262no—
1362C22⋊C4—262no—
1363C22⋊C4—262no—
1364C22⋊C4—262no—
1365C22⋊C4—262no—
1366C22⋊C4—262no—
1367C22⋊C4—262no—
1368C22⋊C4—262no—
1369C22⋊C4—262no—
1370C22⋊C4—521no—
1371C22⋊C4—521no—
1372C22⋊C4—521no—
1373C22⋊C4—521no—
1374C22⋊C4—521no—
1375C22⋊C4D4×D1314yes—
1376C42—22no—
1377C42—134no—
1378C42—134no—
1379C42—262no—
1380C42—262no—
1381C42—262no—
1382C42—262no—
1383C42—262no—
1384C42—262no—
1385C42—262no—
1386C42—262no—
1387C42—262no—
1388C42—262no—
1389C42—262no—
1390C42—262no—
1391C42—262no—
1392C42—262no—
1393C42—262no—
1394C42—521no—
1395C42—521no—
1396C13#3474011yescharacteristic, complemented, Sylow
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—28no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—261no—
1427C23—261no—
1428C23—261no—
1429C23—261no—
1430C23—261no—
1431C23—261no—
1432C23—261no—
1433C23C2×D4×D1312yes—
1434C23C2×#612912yes—
1435C23C2×#612912yes—
1436C23#41×D1312yes—
1437C23#41×D1312yes—
1438C23#41×D1312yes—
1439C23C24×D1311yescharacteristic
1440Q8—524no—
1441D4—28no—
1442D4—44no—
1443D4—44no—
1444D4—524no—
1445D4—524no—
1446D4—524no—
1447D4—524no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—132no—
1482C2×C4—132no—
1483C2×C4—132no—
1484C2×C4—132no—
1485C2×C4—132no—
1486C2×C4—132no—
1487C2×C4—132no—
1488C2×C4—132no—
1489C2×C4—132no—
1490C2×C4—132no—
1491C2×C4—268no—
1492C2×C4—268no—
1493C2×C4—268no—
1494C2×C4—268no—
1495C2×C4—268no—
1496C2×C4—268no—
1497C2×C4—261no—
1498C2×C4—261no—
1499C2×C4—261no—
1500C2×C4—261no—
1501C2×C4—261no—
1502C2×C4—261no—
1503C2×C4—261no—
1504C2×C4—261no—
1505C2×C4—261no—
1506C2×C4—261no—
1507C2×C4—261no—
1508C2×C4—261no—
1509C2×C4—261no—
1510C2×C4—261no—
1511C2×C4—261no—
1512C2×C4—261no—
1513C2×C4—261no—
1514C2×C4—261no—
1515C2×C4—261no—
1516C2×C4—261no—
1517C2×C4—261no—
1518C2×C4—261no—
1519C2×C4—261no—
1520C2×C4—261no—
1521C2×C4—261no—
1522C2×C4—261no—
1523C2×C4—261no—
1524C2×C4—261no—
1525C2×C4—261no—
1526C2×C4—261no—
1527C2×C4—261no—
1528C2×C4—261no—
1529C2×C4—261no—
1530C2×C4—261no—
1531C2×C4—261no—
1532C2×C4—524no—
1533C2×C4—524no—
1534C2×C4—524no—
1535C2×C4—524no—
1536C2×C4—524no—
1537C2×C4C2×D4×D1312yes—
1538C2×C4C2×D4×D1312yes—
1539C2×C4C2×#612912yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—416no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—521no—
1569C22—521no—
1570C22—521no—
1571C22—521no—
1572C22—521no—
1573C22—521no—
1574C22—521no—
1575C22#1171935414yescomplemented
1576C22C22×D4×D1311yescharacteristic
1577C22C22×#612911yescharacteristic
1578C22C2×#41×D1311yescharacteristic
1579C22C2×#41×D1311yescharacteristic
1580C22C2×#41×D1311yescharacteristic
1581C22#1171965011yescharacteristic
1582C22#1171965011yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—134no—
1595C4—262no—
1596C4—262no—
1597C4—262no—
1598C4—262no—
1599C4—262no—
1600C4—262no—
1601C4—262no—
1602C4—521no—
1603C4—521no—
1604C4—521no—
1605C4—521no—
1606C4—521no—
1607C4—521no—
1608C4—521no—
1609C2—24no—
1610C2—42no—
1611C2—42no—
1612C2—42no—
1613C2—1041no—
1614C2D13×#52511yescharacteristic
1615C2C2×#1171935411yescharacteristic
1616C2#1312821811yescharacteristic
1617C2D4×#612911yescharacteristic
1618C2#1312832011yescharacteristic
1619C2#1312838711yescharacteristic
1620C2#1312839111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2418C2
prime radical#13118376C2
hypercenter#2418D13
hypocenterC13#34740
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C2×#11719354C2semidirect
2. C22×#88131C2semidirect
3. #13119104C2semidirect
4. #13119081C2semidirect
5. #13119070C2semidirect
6. #13119047C2semidirect
7. #13119038C2semidirect
8. #13119015C2semidirect
9. #13119013C2semidirect
10. #13118990C2semidirect
11. #13118979C2semidirect
12. #13118956C2semidirect
13. #13118951C2semidirect
14. #13118928C2semidirect
15. #13118649C2semidirect
16. #13118565C2semidirect
18. #13118105C2semidirect
19. #13118094C2semidirect
20. #13118092C2semidirect
21. #13118079C2semidirect
22. #13117364C2semidirect
23. #13117346C2semidirect
24. #120×Dic13C2semidirect
25. #13117335C2semidirect
26. #13117330C2semidirect
27. #13117296C2semidirect
28. #13117276C2semidirect
29. #13117272C2semidirect
30. C4×D4×Dic13C2semidirect
31. C13×#2418C2semidirect
45. C2×#88183C22semidirect
51. C22×C4×Dic13C22semidirect
53. C2×#88152C22semidirect
54. C2×#88146C22semidirect
55. C2×#88143C22semidirect
56. C2×#88141C22semidirect
61. C2×#88135C22semidirect
63. C2×#88132C22semidirect
93. #11718871C22semidirect
95. C4×C22⋊Dic13C22semidirect
96. #11718655C22semidirect
97. #11718653C22semidirect
98. #11718651C22semidirect
99. #11718645C22semidirect
100. #11718643C22semidirect
101. #11718641C22semidirect
102. #11718641C22semidirect
103. #11718639C22semidirect
104. #11718639C22semidirect
105. C4⋊C4×Dic13C22semidirect
106. C4⋊C4×Dic13C22semidirect
107. C4⋊C4×Dic13C22semidirect
108. C4⋊C4×Dic13C22semidirect
109. #11718635C22semidirect
110. #11718634C22semidirect
111. #11718633C22semidirect
115. #11718620C22semidirect
122. #11718618C22semidirect
127. #11718613C22semidirect
134. #11718610C22semidirect
137. #11718609C22semidirect
144. #11718607C22semidirect
149. #11718605C22semidirect
158. C22⋊C4×Dic13C22semidirect
159. C22⋊C4×Dic13C22semidirect
160. C22⋊C4×Dic13C22semidirect
161. #11718601C22semidirect
162. C4×C4⋊Dic13C22semidirect
163. #11718594C22semidirect
164. C42×Dic13C22semidirect
165. #11718336C22semidirect
166. #11718331C22semidirect
167. #11718331C22semidirect
168. #11718330C22semidirect
169. #11718327C22semidirect
170. #11718327C22semidirect
171. #11718321C22semidirect
172. #11718319C22semidirect
173. #11718318C22semidirect
174. #11718318C22semidirect
175. #11718317C22semidirect
176. #11718316C22semidirect
177. #11718316C22semidirect
178. #11718315C22semidirect
179. #11718314C22semidirect
180. #11718313C22semidirect
181. #11718313C22semidirect
182. #11718313C22semidirect
183. #11718310C22semidirect
184. #11718310C22semidirect
185. #11718310C22semidirect
186. #11718309C22semidirect
187. #11718308C22semidirect
188. #11718308C22semidirect
348. #88131D4semidirect
604. #2418D13semidirect
946. C22×C13#529semidirect
1396. C13#34740semidirect
1575. C22#11719354semidirect

Maximal subgroups

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

subgroupindex
C2×#117193542
C22×#881312
#131191042
#131190812
#131190702
#131190472
#131190382
#131190152
#131190132
#131189902
#131189792
#131189562
#131189512
#131189282
#131186492
#131185652
#131183762
#131181052
#131180942
#131180922
#131180792
#131173642
#131173462
#120×Dic132
#131173352
#131173302
#131172962
#131172762
#131172722
C4×D4×Dic132
C13×#24182
#3474013