Finite Group Databasebeta

← #16750285

Subgroups — #16750285

Order 3328.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128672C211yesmaximal, characteristic
2D13×#552C211yesmaximal, characteristic, complemented
3#13127221C211yesmaximal, characteristic, complemented
4#13127219C211yesmaximal, characteristic, complemented
5#13127217C211yesmaximal, characteristic, complemented
6#13127215C211yesmaximal, characteristic, complemented
7#13127206C211yesmaximal, characteristic, complemented
8#13127201C211yesmaximal, characteristic, complemented
9#13127199C211yesmaximal, characteristic, complemented
10#13127197C211yesmaximal, characteristic, complemented
11#13126727C211yesmaximal, characteristic, complemented
12#13126723C211yesmaximal, characteristic, complemented
13#13126719C211yesmaximal, characteristic, complemented
14#13126678C211yesmaximal, characteristic, complemented
15#13126672C211yesmaximal, characteristic, complemented
16#13126670C211yesmaximal, characteristic, complemented
17#13126664C211yesmaximal, characteristic, complemented
18#13126008C211yesmaximal, characteristic, complemented
19#13125999C211yesmaximal, characteristic, complemented
20#13125618C211yesmaximal, characteristic, complemented
21#13125615C211yesmaximal, characteristic, complemented
22#13125609C211yesmaximal, characteristic, complemented
23#13125588C211yesmaximal, characteristic, complemented
24#13124920C211yesmaximal, characteristic, complemented
25#13124915C211yesmaximal, characteristic, complemented
26#13124754C211yesmaximal, characteristic, complemented
27#13124747C211yesmaximal, characteristic, complemented
28C2×#11718466C211yesmaximal, characteristic, complemented
29D13×#480C211yesmaximal, characteristic, complemented
30#13123857C211yesmaximal, characteristic, complemented
31C13×#3300C211yesmaximal, characteristic, complemented
32C13×#552C2211yescharacteristic, complemented
33C13×#548C2211yescharacteristic
34#11719534C2211yescharacteristic
35#11719533C2211yescharacteristic
36#11719522C2211yescharacteristic
37C2×#88200C2211yescharacteristic
38#11719413—21no—
39D13×#126—21no—
40#11719399C2211yescharacteristic
41#11719398—21no—
42D13×#125—21no—
43D13×#125C2211yescharacteristic, complemented
44#11719385C2211yescharacteristic
45#11719384—21no—
46#11719383—21no—
47#11719381C2211yescharacteristic
48D13×#123—21no—
49#11719355—21no—
50#11719347C2211yescharacteristic, complemented
51#11719344C2211yescharacteristic
52#11719344C2211yescharacteristic
53#11719343—21no—
54#11719342—21no—
55#11719332C2211yescharacteristic
56D13×C22⋊Q8C2211yescharacteristic
57D13×C22⋊Q8C2211yescharacteristic, complemented
58#11719323C2211yescharacteristic
59#11719310—21no—
60D13×#121C2211yescharacteristic
61#11719306—21no—
62#11719286C2211yescharacteristic
63#11719286C2211yescharacteristic
64#11719285C2211yescharacteristic
65C4×Q8×D13C2211yescharacteristic, complemented
66#11719270C2211yescharacteristic
67#11719250—21no—
68C4×D4×D13C2211yescharacteristic
69#11719246C2211yescharacteristic, complemented
70#11719245—21no—
71#11719236—21no—
72#11719234C2211yescharacteristic
73D13×#117—21no—
74D13×#117C2211yescharacteristic, complemented
75#11719218C2211yescharacteristic, complemented
76C2×C4⋊C4×D13C2211yescharacteristic
77C13×#488C2211yescharacteristic, complemented
78C13×#485C2211yescharacteristic, complemented
79C13×#480C2211yescharacteristic, complemented
80C13×#479C2211yescharacteristic, complemented
81C13×#467C2211yescharacteristic, complemented
82C13×#465C2211yescharacteristic, complemented
83C13×#464C2211yescharacteristic, complemented
84C13×#452C2211yescharacteristic, complemented
85C13×#451C2211yescharacteristic, complemented
86C4×C13×Q16C2211yescharacteristic, complemented
87C8×D4×C13C2211yescharacteristic, complemented
88C13×#416C2211yescharacteristic, complemented
89C2×C13×#103C2211yescharacteristic, complemented
90#11718900C2211yescharacteristic, complemented
91#11718894C2211yescharacteristic, complemented
92#11718889C2211yescharacteristic, complemented
93C2×#88075C2211yescharacteristic, complemented
94#11718849C2211yescharacteristic, complemented
95#11718849C2211yescharacteristic, complemented
96#11718849C2211yescharacteristic, complemented
97#11718848C2211yescharacteristic, complemented
98#11718847C2211yescharacteristic, complemented
99#11718847C2211yescharacteristic, complemented
100#11718846C2211yescharacteristic, complemented
101Q16×Dic13C2211yescharacteristic, complemented
102#11718832C2211yescharacteristic, complemented
103#11718831C2211yescharacteristic
104#11718830C2211yescharacteristic, complemented
105SD16×Dic13C2211yescharacteristic, complemented
106#11718775C2211yescharacteristic, complemented
107#11718775C2211yescharacteristic, complemented
108C8×C22⋊D13C2211yescharacteristic
109C8×C22⋊D13C2211yescharacteristic, complemented
110C2×#88060C2211yescharacteristic
111C2×#88060C2211yescharacteristic, complemented
112#11718767C2211yescharacteristic, complemented
113C2×#88057C2211yescharacteristic, complemented
114#11718727C2211yescharacteristic, complemented
115#11718725C2211yescharacteristic, complemented
116#11718717C2211yescharacteristic, complemented
117#11718715C2211yescharacteristic, complemented
118#11718712C2211yescharacteristic, complemented
119#11718709C2211yescharacteristic, complemented
120#11718709C2211yescharacteristic, complemented
121#11718706C2211yescharacteristic, complemented
122#11718706C2211yescharacteristic, complemented
123#11718705C2211yescharacteristic, complemented
124#11718702C2211yescharacteristic, complemented
125#11718694C2211yescharacteristic, complemented
126C4×#6107C2211yescharacteristic, complemented
127C4×#6106C2211yescharacteristic, complemented
128#11718683C2211yescharacteristic, complemented
129#11718683C2211yescharacteristic, complemented
130D4×#1055C2211yescharacteristic, complemented
131#11718664C2211yescharacteristic, complemented
132#11718659C2211yescharacteristic, complemented
133#11718628C2211yescharacteristic, complemented
134C2×#88048C2211yescharacteristic, complemented
135#11718549C2211yescharacteristic, complemented
136#11718543C2211yescharacteristic
137#11718543C2211yescharacteristic
138#11718541C2211yescharacteristic, complemented
139D13×#107C2211yescharacteristic, complemented
140D13×#107C2211yescharacteristic, complemented
141#11718539C2211yescharacteristic, complemented
142#11718538C2211yescharacteristic, complemented
143#11718524C2211yescharacteristic
144#11718523C2211yescharacteristic, complemented
145#11718521C2211yescharacteristic, complemented
146#11718519C2211yescharacteristic, complemented
147#11718508C2211yescharacteristic, complemented
148#11718495C2211yescharacteristic
149#11718494C2211yescharacteristic, complemented
150#11718490C2211yescharacteristic, complemented
151#11718476C2211yescharacteristic, complemented
152#11718476C2211yescharacteristic, complemented
153#11718475C2211yescharacteristic, complemented
154#11718474C2211yescharacteristic, complemented
155#11718474C2211yescharacteristic, complemented
156#11718474C2211yescharacteristic, complemented
157#11718471C2211yescharacteristic, complemented
158#11718470C2211yescharacteristic, complemented
159#11718470C2211yescharacteristic, complemented
160#11718467C2211yescharacteristic
161#11718466C2211yescharacteristic, complemented
162#11718466C2211yescharacteristic, complemented
163#11718466C2211yescharacteristic, complemented
164#11718466C2211yescharacteristic, complemented
165#11718466C2211yescharacteristic, complemented
166#11718466C2211yescharacteristic, complemented
167#11718466C2211yescharacteristic, complemented
168#11718466C2211yescharacteristic, complemented
169#11718466C2211yescharacteristic, complemented
170#11718465C2211yescharacteristic, complemented
171#11718465C2211yescharacteristic, complemented
172#11718461C2211yescharacteristic, complemented
173#11718461C2211yescharacteristic, complemented
174#11718460C2211yescharacteristic, complemented
175#11718460C2211yescharacteristic, complemented
176#11718459C2211yescharacteristic, complemented
177#11718457C2211yescharacteristic, complemented
178#11718451C2211yescharacteristic, complemented
179#11718445C2211yescharacteristic, complemented
180#11718440C2211yescharacteristic, complemented
181#11718439C2211yescharacteristic, complemented
182#11718438C2211yescharacteristic
183#11718437C2211yescharacteristic, complemented
184#11718435C2211yescharacteristic
185#11718435C2211yescharacteristic
186D13×#102C2211yescharacteristic, complemented
187D13×#102C2211yescharacteristic, complemented
188#11718427C2211yescharacteristic, complemented
189#11718424C2211yescharacteristic, complemented
190#11718419C2211yescharacteristic, complemented
191#11718398C2211yescharacteristic, complemented
192#11718397C2211yescharacteristic, complemented
193#11718386C2211yescharacteristic
194#11718386C2211yescharacteristic, complemented
195D13×C22⋊C8C2211yescharacteristic
196D13×C22⋊C8C2211yescharacteristic, complemented
197#11718384C2211yescharacteristic, complemented
198#11718383C2211yescharacteristic, complemented
199C4×#6095C2211yescharacteristic, complemented
200C8×D52C2211yescharacteristic
201#11718346C2211yescharacteristic, complemented
202#11718344C2211yescharacteristic, complemented
203C2×C13×#41C2311yescharacteristic
204C22×Q8×C13C2311yescharacteristic
205C2×#6131C2311yescharacteristic
206C2×Q8×D13C2311yescharacteristic
207C2×D4×D13—21no—
208C2×D4×D13D411yescharacteristic
209C2×D4×D13C2311yescharacteristic
210C22×C4×D13—21no—
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C2×C13×Q16C2311yescharacteristic
214C2×C13×Q16C2311yescharacteristic
215C2×C13×SD16C2311yescharacteristic
216C22×C8×C13C2311yescharacteristic
217C22×C8×C13C2311yescharacteristic
218C13×#126—21no—
219C13×#125—21no—
220C13×#125C2311yescharacteristic
221C13×#124—21no—
222C13×#124C2311yescharacteristic
223C13×#123—21no—
224C13×C22⋊Q8—21no—
225C13×C22⋊Q8C2311yescharacteristic
226C13×C22⋊Q8C2311yescharacteristic
227C13×C22⋊Q8C2311yescharacteristic
228C13×#121—21no—
229C13×#121C2311yescharacteristic
230C4×Q8×C13C2311yescharacteristic
231C4×Q8×C13C2311yescharacteristic
232C4×D4×C13—21no—
233C4×D4×C13C2311yescharacteristic
234C13×#117—21no—
235C13×#117C2311yescharacteristic
236C2×C13×C4⋊C4C2311yescharacteristic
237#88201—21no—
238#88201C2311yescharacteristic
239#88200—21no—
240#88200—21no—
241#88200—21no—
242#88200C2311yescharacteristic
243#88200C2311yescharacteristic
244#88200C2311yescharacteristic
245#88200C2311yescharacteristic
246#88200C2311yescharacteristic
247#88200C2311yescharacteristic
248#88200C2311yescharacteristic
249Q8×Dic13C2311yescharacteristic
250Q8×Dic13C2311yescharacteristic
251C2×#6107C2311yescharacteristic
252C2×#6107C2311yescharacteristic
253C2×#6106C2311yescharacteristic
254#88193—21no—
255#88193—21no—
256#88193—21no—
257#88193—21no—
258#88192C2311yescharacteristic
259#88192C2311yescharacteristic
260#88191—21no—
261#88191—21no—
262#88189—21no—
263#88189—21no—
264D4×Dic13—21no—
265D4×Dic13D411yescharacteristic
266D4×Dic13C2311yescharacteristic
267C2×#6105C2311yescharacteristic
268#88184—21no—
269#88184C2311yescharacteristic
270#88184C2311yescharacteristic
271#88183—21no—
272#88183—21no—
273C4×C22⋊D13—21no—
274C4×C22⋊D13—21no—
275C4×C22⋊D13—21no—
276C4×C22⋊D13C2311yescharacteristic
277C4×C22⋊D13C2311yescharacteristic
278C2×#6103—21no—
279C2×#6103—21no—
280#88180—21no—
281#88180C2311yescharacteristic
282#88180C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×C4⋊Dic13C2311yescharacteristic
285#88178C2311yescharacteristic
286#88178C2311yescharacteristic
287C2×#6101—21no—
288C2×#6101—21no—
289C22×#1055C2311yescharacteristic
290C22×#1055C2311yescharacteristic
291C2×#6095C2311yescharacteristic
292C2×C8×D13C2311yescharacteristic
293C2×C8×D13C2311yescharacteristic
294C2×C8×D13C2311yescharacteristic
295C2×C8×D13C2311yescharacteristic
296#88152—21no—
297#88152—21no—
298#88152—21no—
299#88152—21no—
300#88152—21no—
301#88151C2311yescharacteristic
302#88151C2311yescharacteristic
303#88150—21no—
304#88150—21no—
305#88149C2311yescharacteristic
306#88148—21no—
307#88148—21no—
308#88148—21no—
309#88148—21no—
310#88148—21no—
311#88147—21no—
312#88147D411yescharacteristic
313#88146—21no—
314#88146—21no—
315#88146—21no—
316#88146C2311yescharacteristic
317#88146C2311yescharacteristic
318#88146C2311yescharacteristic
319C4⋊C4×D13—21no—
320C4⋊C4×D13—21no—
321C4⋊C4×D13—21no—
322C4⋊C4×D13—21no—
323C4⋊C4×D13—21no—
324C4⋊C4×D13—21no—
325C4⋊C4×D13—21no—
326C4⋊C4×D13D411yescharacteristic
327C4⋊C4×D13C2311yescharacteristic
328C4⋊C4×D13C2311yescharacteristic
329C4⋊C4×D13C2311yescharacteristic
330C4⋊C4×D13C2311yescharacteristic
331C4⋊C4×D13C2311yescharacteristic
332C4⋊C4×D13C2311yescharacteristic
333#88144—21no—
334#88144—21no—
335#88144C2311yescharacteristic
336#88144C2311yescharacteristic
337#88144C2311yescharacteristic
338#88143—21no—
339#88143—21no—
340#88143—21no—
341#88143—21no—
342#88143—21no—
343#88143—21no—
344#88143—21no—
345#88143—21no—
346#88141—21no—
347#88141C2311yescharacteristic
348#88140—21no—
349#88140—21no—
350#88138—21no—
351#88138—21no—
352#88137—21no—
353#88137—21no—
354#88137—21no—
355#88137—21no—
356#88137—21no—
357#88137—21no—
358#88136—21no—
359#88136—21no—
360#88135—21no—
361#88135—21no—
362#88135—21no—
363#88135D411yescharacteristic
364#88135D411yescharacteristic
365C22⋊C4×D13—21no—
366C22⋊C4×D13—21no—
367C22⋊C4×D13—21no—
368C22⋊C4×D13—21no—
369C22⋊C4×D13—21no—
370C22⋊C4×D13D411yescharacteristic
371C22⋊C4×D13D411yescharacteristic
372#88133—21no—
373#88133—21no—
374#88133—21no—
375#88133—21no—
376#88133—21no—
377#88133—21no—
378#88132—21no—
379#88132—21no—
380#88131—21no—
381#88131—21no—
382#88131—21no—
383#88131—21no—
384#88130—21no—
385#88130—21no—
386C4×D52—21no—
387C4×D52C2311yescharacteristic
388C4×D52C2311yescharacteristic
389#88126—21no—
390#88126—21no—
391#88126—21no—
392#88126—21no—
393#88126—21no—
394C42×D13—21no—
395C42×D13—21no—
396C42×D13C2311yescharacteristic
397#88124—21no—
398#88124C2311yescharacteristic
399#88124C2311yescharacteristic
400C4×Dic26—21no—
401C4×Dic26C2311yescharacteristic
402C13×#107C2311yescharacteristic
403C13×#107C2311yescharacteristic
404C13×#106C2311yescharacteristic
405C13×C4⋊C8C2311yescharacteristic
406C13×#103C2311yescharacteristic
407C13×#103C2311yescharacteristic
408C13×#103C2311yescharacteristic
409C13×#103C2311yescharacteristic
410C13×#103C2311yescharacteristic
411C13×#103C2311yescharacteristic
412C13×#103C2311yescharacteristic
413C13×#102C2311yescharacteristic
414C13×#102C2311yescharacteristic
415C13×#102C2311yescharacteristic
416C13×C22⋊C8C2311yescharacteristic
417C13×C22⋊C8C2311yescharacteristic
418C4×C8×C13C2311yescharacteristic
419#88075C2311yescharacteristic
420#88075C2311yescharacteristic
421#88075C2311yescharacteristic
422#88075C2311yescharacteristic
423#88075C2311yescharacteristic
424#88075C2311yescharacteristic
425#88075C2311yescharacteristic
426#88075C2311yescharacteristic
427#88075C2311yescharacteristic
428#88072C2311yescharacteristic
429#88072C2311yescharacteristic
430#88072C2311yescharacteristic
431C22⋊#1055C2311yescharacteristic
432C22⋊#1055C2311yescharacteristic
433#88061C2311yescharacteristic
434#88061C2311yescharacteristic
435#88061C2311yescharacteristic
436#88060C2311yescharacteristic
437#88060C2311yescharacteristic
438#88060C2311yescharacteristic
439#88060C2311yescharacteristic
440#88060C2311yescharacteristic
441#88060C2311yescharacteristic
442#88060C2311yescharacteristic
443#88060C2311yescharacteristic
444#88058C2311yescharacteristic
445#88058C2311yescharacteristic
446#88058C2311yescharacteristic
447#88058C2311yescharacteristic
448#88057C2311yescharacteristic
449#88057C2311yescharacteristic
450#88057C2311yescharacteristic
451#88057C2311yescharacteristic
452#88057C2311yescharacteristic
453#88056C2311yescharacteristic
454#88056C2311yescharacteristic
455#88056C2311yescharacteristic
456#88054C2311yescharacteristic
457#88054C2311yescharacteristic
458C8×Dic13C2311yescharacteristic
459C8×Dic13C2311yescharacteristic
460#88050C2311yescharacteristic
461#88049C2311yescharacteristic
462#88049C2311yescharacteristic
463#88049C2311yescharacteristic
464#88048C2311yescharacteristic
465#88048C2311yescharacteristic
466#88048C2311yescharacteristic
467#88048C2311yescharacteristic
468#88048C2311yescharacteristic
469#88048C2311yescharacteristic
470#88047C2311yescharacteristic
471#88047C2311yescharacteristic
472#88047C2311yescharacteristic
473#88047C2311yescharacteristic
474#88047C2311yescharacteristic
475#88047C2311yescharacteristic
476C4⋊#1055C2311yescharacteristic
477C4×#1055C2311yescharacteristic
478#61696—131nomaximal, Sylow
479C23×D13—21no—
480C23×D13C2×D411yescharacteristic
481C23×D13C2×D411yescharacteristic
482C13×#41—41no—
483C13×#41—41no—
484C2×Q8×C13—21no—
485C2×Q8×C13—41no—
486C2×Q8×C13—41no—
487C2×Q8×C13C2411yescharacteristic
488C2×Q8×C13C2411yescharacteristic
489C2×Q8×C13C2411yescharacteristic
490C2×D4×C13—21no—
491C2×D4×C13—21no—
492C2×D4×C13C2×D411yescharacteristic
493C2×D4×C13C2411yescharacteristic
494C22×C4×C13—21no—
495C22×C4×C13—21no—
496C22×C4×C13—21no—
497C22×C4×C13C2411yescharacteristic
498C22×C4×C13C2411yescharacteristic
499C2×C22⋊D13—21no—
500C2×C22⋊D13—21no—
501C2×C22⋊D13—21no—
502C2×C22⋊D13—21no—
503C2×C22⋊D13—21no—
504C2×C22⋊D13C2×D411yescharacteristic
505C2×C22⋊D13C2×D411yescharacteristic
506C22×Dic13—21no—
507C22×Dic13—21no—
508C22×Dic13—21no—
509C22×Dic13C2×D411yescharacteristic
510C22×Dic13C2×D411yescharacteristic
511#6131—41no—
512#6131—41no—
513Q8×D13—41no—
514Q8×D13—41no—
515D4×D13—24no—
516D4×D13—41no—
517D4×D13—41no—
518D4×D13—44no—
519C2×D52—21no—
520C2×D52—21no—
521C2×D52C2×D411yescharacteristic
522C2×D52C2411yescharacteristic
523C2×C4×D13—21no—
524C2×C4×D13—21no—
525C2×C4×D13—21no—
526C2×C4×D13—21no—
527C2×C4×D13—21no—
528C2×C4×D13—21no—
529C2×C4×D13—21no—
530C2×C4×D13—21no—
531C2×C4×D13—21no—
532C2×C4×D13—41no—
533C2×C4×D13—41no—
534C2×C4×D13—41no—
535C2×C4×D13—41no—
536C2×C4×D13—44no—
537C2×C4×D13C2×D411yescharacteristic
538C2×C4×D13C2×D411yescharacteristic
539C2×C4×D13C2×D411yescharacteristic
540C2×C4×D13C2×D411yescharacteristic
541C2×C4×D13C2×D411yescharacteristic
542C2×C4×D13C2×D411yescharacteristic
543C2×C4×D13C2411yescharacteristic
544C2×C4×D13C2411yescharacteristic
545C2×C4×D13C2411yescharacteristic
546C2×Dic26—21no—
547C2×Dic26C2411yescharacteristic
548C13×Q16—41no—
549C13×Q16—41no—
550C13×SD16—41no—
551C2×C8×C13—41no—
552C2×C8×C13—41no—
553C2×C8×C13C2411yescharacteristic
554C2×C8×C13C2411yescharacteristic
555C2×C8×C13C2411yescharacteristic
556C2×C8×C13C2411yescharacteristic
557C13×C4⋊C4—21no—
558C13×C4⋊C4—21no—
559C13×C4⋊C4—21no—
560C13×C4⋊C4—21no—
561C13×C4⋊C4—21no—
562C13×C4⋊C4—21no—
563C13×C4⋊C4—21no—
564C13×C4⋊C4—21no—
565C13×C4⋊C4C2×D411yescharacteristic
566C13×C4⋊C4C2411yescharacteristic
567C13×C4⋊C4C2411yescharacteristic
568C13×C4⋊C4C2411yescharacteristic
569C13×C4⋊C4C2411yescharacteristic
570C13×C22⋊C4—21no—
571C13×C22⋊C4—21no—
572C13×C22⋊C4—21no—
573C13×C22⋊C4—21no—
574C13×C22⋊C4—21no—
575C13×C22⋊C4—21no—
576C13×C22⋊C4—21no—
577C13×C22⋊C4C2×D411yescharacteristic
578C13×C22⋊C4C2×D411yescharacteristic
579C42×C13—21no—
580C42×C13—21no—
581C42×C13—21no—
582C42×C13C2411yescharacteristic
583C22⋊Dic13—21no—
584C22⋊Dic13—21no—
585C22⋊Dic13—21no—
586C22⋊Dic13—21no—
587C22⋊Dic13—21no—
588C22⋊Dic13—21no—
589C22⋊Dic13—21no—
590C22⋊Dic13C2×D411yescharacteristic
591C22⋊Dic13C2×D411yescharacteristic
592#6107—41no—
593#6107—41no—
594#6106—41no—
595#6105—41no—
596#6103—21no—
597#6103—21no—
598#6103—21no—
599#6103—21no—
600#6103—21no—
601#6103—21no—
602#6103—21no—
603#6103—21no—
604#6103—21no—
605#6103—21no—
606#6103—21no—
607#6103—21no—
608#6103—21no—
609#6103—21no—
610#6103—21no—
611#6103—21no—
612#6103—21no—
613#6103—21no—
614#6103C2×D411yescharacteristic
615#6103C2×D411yescharacteristic
616#6103C2×D411yescharacteristic
617#6103C2×D411yescharacteristic
618C4⋊Dic13—21no—
619C4⋊Dic13—21no—
620C4⋊Dic13—21no—
621C4⋊Dic13—21no—
622C4⋊Dic13—21no—
623C4⋊Dic13—21no—
624C4⋊Dic13—21no—
625C4⋊Dic13—21no—
626C4⋊Dic13—21no—
627C4⋊Dic13C2×D411yescharacteristic
628C4⋊Dic13C2411yescharacteristic
629C4⋊Dic13C2411yescharacteristic
630C4⋊Dic13C2411yescharacteristic
631C4⋊Dic13C2411yescharacteristic
632C4⋊Dic13C2411yescharacteristic
633C4⋊Dic13C2411yescharacteristic
634#6101—21no—
635#6101—21no—
636#6101—21no—
637#6101—21no—
638#6101—21no—
639#6101—21no—
640#6101—21no—
641#6101—21no—
642#6101—21no—
643#6101—21no—
644#6101—21no—
645#6101—21no—
646#6101—21no—
647#6101—21no—
648#6101—21no—
649#6101—21no—
650#6101—21no—
651#6101—21no—
652#6101—21no—
653#6101—21no—
654#6101—21no—
655#6101—21no—
656#6101—21no—
657#6101—21no—
658#6101C2×D411yescharacteristic
659#6101C2×D411yescharacteristic
660C4×Dic13—21no—
661C4×Dic13—21no—
662C4×Dic13—21no—
663C4×Dic13—21no—
664C4×Dic13—21no—
665C4×Dic13—21no—
666C4×Dic13—21no—
667C4×Dic13—21no—
668C4×Dic13—21no—
669C4×Dic13C2×D411yescharacteristic
670C4×Dic13C2×D411yescharacteristic
671C4×Dic13C2411yescharacteristic
672C2×#1055—41no—
673C2×#1055—41no—
674C2×#1055C2411yescharacteristic
675C2×#1055C2411yescharacteristic
676C2×#1055C2411yescharacteristic
677C2×#1055C2411yescharacteristic
678#6095—41no—
679C8×D13—41no—
680C8×D13—41no—
681C8×D13—41no—
682C8×D13—41no—
683#3505—131no—
684C2×#552—131no—
685#3337—131no—
686#3337—131no—
687#3337—131no—
688#3337—131no—
689#3336—131no—
690#3336—131no—
691#3336—131no—
692#3336—131no—
693#3300—131no—
694#3300—131no—
695#3300—131no—
696#3300D1311yescharacteristic, complemented
697#3296—131no—
698#3296—131no—
699#3296—131no—
700#3296—131no—
701#3232—131no—
702#3232—131no—
703#3190—131no—
704#3190—131no—
705#3189—131no—
706#3187—131no—
707#3108—131no—
708#3108—131no—
709#3091—131no—
710#3091—131no—
711C2×#483—131no—
712C2×#480—131no—
713#2972—131no—
714C23×C13—21no—
715C23×C13C22×D411yescharacteristic
716C23×C13C22×D411yescharacteristic
717C22×D13—22no—
718C22×D13—21no—
719C22×D13—41no—
720C22×D13—41no—
721C22×D13—41no—
722C22×D13—41no—
723C22×D13—42no—
724C22×D13—81no—
725C22×D13—81no—
726C22×D13#13514yes—
727C22×D13C22×D411yescharacteristic
728C22×D13C22×D411yescharacteristic
729C22×D13C22×D411yescharacteristic
730Q8×C13—21no—
731Q8×C13—21no—
732Q8×C13—21no—
733Q8×C13—21no—
734Q8×C13—21no—
735Q8×C13—21no—
736Q8×C13—81no—
737D4×C13—22no—
738D4×C13—21no—
739D4×C13—21no—
740D4×C13—42no—
741D4×C13—81no—
742C2×C4×C13—21no—
743C2×C4×C13—21no—
744C2×C4×C13—21no—
745C2×C4×C13—21no—
746C2×C4×C13—21no—
747C2×C4×C13—21no—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—21no—
751C2×C4×C13—21no—
752C2×C4×C13—21no—
753C2×C4×C13—42no—
754C2×C4×C13—81no—
755C2×C4×C13—81no—
756C2×C4×C13C22×D411yescharacteristic
757C2×C4×C13C22×D411yescharacteristic
758C2×C4×C13C22×D411yescharacteristic
759C2×C4×C13C22×D411yescharacteristic
760C2×C4×C13C2511yescharacteristic
761C22⋊D13—22no—
762C22⋊D13—22no—
763C22⋊D13—42no—
764C22⋊D13—42no—
765C22⋊D13—81no—
766C22⋊D13—81no—
767C22⋊D13—81no—
768C2×Dic13—21no—
769C2×Dic13—21no—
770C2×Dic13—21no—
771C2×Dic13—21no—
772C2×Dic13—21no—
773C2×Dic13—21no—
774C2×Dic13—21no—
775C2×Dic13—41no—
776C2×Dic13—41no—
777C2×Dic13—42no—
778C2×Dic13—81no—
779C2×Dic13—81no—
780C2×Dic13C22×D411yescharacteristic
781C2×Dic13C22×D411yescharacteristic
782C2×Dic13C22×D411yescharacteristic
783C2×Dic13C22×D411yescharacteristic
784C2×Dic13C22×D411yescharacteristic
785D52—22no—
786D52—21no—
787D52—21no—
788D52—42no—
789D52—81no—
790C4×D13—22no—
791C4×D13—21no—
792C4×D13—21no—
793C4×D13—21no—
794C4×D13—21no—
795C4×D13—21no—
796C4×D13—21no—
797C4×D13—41no—
798C4×D13—41no—
799C4×D13—41no—
800C4×D13—41no—
801C4×D13—41no—
802C4×D13—42no—
803C4×D13—42no—
804C4×D13—42no—
805C4×D13—42no—
806C4×D13—42no—
807C4×D13—42no—
808C4×D13—42no—
809C4×D13—81no—
810C4×D13—81no—
811Dic26—21no—
812Dic26—21no—
813Dic26—42no—
814C8×C13—21no—
815C8×C13—21no—
816C8×C13—21no—
817C8×C13—21no—
818#1055—21no—
819#1055—21no—
820#1055—21no—
821#1055—21no—
822#553—131no—
823#553—131no—
824#553—261no—
825#553—261no—
826#552—131no—
827#552—131no—
828#552—131no—
829#552—131no—
830#552—131no—
831#552—131no—
832#552—131no—
833#552—131no—
834#552—131no—
835#552—261no—
836#552—261no—
837#552—261no—
838#552—261no—
839#552C2×D1311yescharacteristic, complemented
840#551—261no—
841#551—261no—
842#548—131no—
843#548C2×D1311yescharacteristic
844#546—131no—
845#546—131no—
846#539—261no—
847#538—261no—
848#534—261no—
849#529—131no—
850#529—131no—
851C2×#126—261no—
852C2×#125—131no—
853C2×#125—261no—
854#525—131no—
855#525—131no—
856C2×#123—261no—
857C2×C22⋊Q8—131no—
858C2×C22⋊Q8—131no—
859C2×C22⋊Q8—131no—
860C2×#121—131no—
861#518—261no—
862C2×C4×Q8—131no—
863C2×C4×D4—131no—
864C2×#117—131no—
865C2×#117—261no—
866C22×C4⋊C4—131no—
867#499—131no—
868#499—131no—
869#499—131no—
870#499—131no—
871#488—131no—
872#488—131no—
873#488—131no—
874#488C2×D1311yescharacteristic, complemented
875#485—131no—
876#485—131no—
877#485—131no—
878#485—131no—
879#485—131no—
880#485—131no—
881#485—131no—
882#485C2×D1311yescharacteristic, complemented
883#484—131no—
884#484—131no—
885#484—131no—
886#484—131no—
887#483—131no—
888#483—131no—
889#483—131no—
890#483—131no—
891#483—131no—
892#483—131no—
893#483—131no—
894#483—131no—
895#483—131no—
896#483—131no—
897#482—131no—
898#482—131no—
899#482—131no—
900#482—131no—
901#481—131no—
902#481—131no—
903#480—131no—
904#480—131no—
905#480—131no—
906#480—131no—
907#480—131no—
908#480—131no—
909#480—131no—
910#480C2×D1311yescharacteristic, complemented
911#479—131no—
912#479—131no—
913#479—131no—
914#479—131no—
915#479—131no—
916#479—131no—
917#479—131no—
918#479C2×D1311yescharacteristic, complemented
919#478—131no—
920#478—131no—
921#478—131no—
922#478—131no—
923#467—131no—
924#467—131no—
925#467—131no—
926#467—131no—
927#467—131no—
928#467—131no—
929#467—131no—
930#467C2×D1311yescharacteristic, complemented
931#465—131no—
932#465—131no—
933#465—131no—
934#465—131no—
935#465—131no—
936#465—131no—
937#465—131no—
938#465C2×D1311yescharacteristic, complemented
939#464—131no—
940#464—131no—
941#464—131no—
942#464C2×D1311yescharacteristic, complemented
943#452—131no—
944#452—131no—
945#452—131no—
946#452C2×D1311yescharacteristic, complemented
947#451—131no—
948#451—131no—
949#451—131no—
950#451C2×D1311yescharacteristic, complemented
951#450—131no—
952#450—131no—
953#448—131no—
954#448—131no—
955C4×Q16—131no—
956C4×Q16—131no—
957C4×Q16—131no—
958C4×Q16C2×D1311yescharacteristic, complemented
959C4×SD16—131no—
960C4×SD16—131no—
961C4×SD16—131no—
962C4×SD16—131no—
963C8×D4—131no—
964C8×D4—131no—
965C8×D4—131no—
966C8×D4—131no—
967C8×D4—131no—
968C8×D4—131no—
969C8×D4—131no—
970C8×D4C2×D1311yescharacteristic, complemented
971#431—131no—
972#431—131no—
973#427—131no—
974#427—131no—
975#427—131no—
976#427—131no—
977C2×#107—131no—
978C2×#107—131no—
979C2×#106—131no—
980C2×#106—131no—
981#416—131no—
982#416—131no—
983#416—131no—
984#416C2×D1311yescharacteristic, complemented
985C2×#103—131no—
986C2×#103C2×D1311yescharacteristic, complemented
987C2×#102—131no—
988C2×#102—131no—
989C2×C22⋊C8—131no—
990C2×C22⋊C8—131no—
991C2×C22⋊C8—131no—
992C2×C22⋊C8—131no—
993C22×C13—21no—
994C22×C13—21no—
995C22×C13—21no—
996C22×C13—21no—
997C22×C13—21no—
998C22×C13—41no—
999C22×C13—41no—
1000C22×C13—41no—
1001C22×C13C2×#13512yes—
1002C22×C13C23×D411yescharacteristic
1003C2×D13—21no—
1004C2×D13—21no—
1005C2×D13—21no—
1006C2×D13—21no—
1007C2×D13—21no—
1008C2×D13—21no—
1009C2×D13—21no—
1010C2×D13—44no—
1011C2×D13—41no—
1012C2×D13—41no—
1013C2×D13—41no—
1014C2×D13—82no—
1015C2×D13—162no—
1016C2×D13C2×#13512yes—
1017C2×D13C2×#13512yes—
1018C4×C13—21no—
1019C4×C13—21no—
1020C4×C13—21no—
1021C4×C13—21no—
1022C4×C13—41no—
1023C4×C13—41no—
1024C4×C13—41no—
1025C4×C13—41no—
1026C4×C13—41no—
1027C4×C13—41no—
1028C4×C13—41no—
1029C4×C13#58511yescharacteristic
1030C4×C13#58511yescharacteristic
1031Dic13—21no—
1032Dic13—21no—
1033Dic13—21no—
1034Dic13—21no—
1035Dic13—21no—
1036Dic13—41no—
1037Dic13—41no—
1038Dic13—41no—
1039Dic13—41no—
1040Dic13—41no—
1041Dic13—41no—
1042Dic13—41no—
1043C2×#41—131no—
1044C2×#41C22×D1311yescharacteristic
1045C22×Q8—131no—
1046C22×Q8C22×D1311yescharacteristic
1047C22×D4—131no—
1048C22×D4—131no—
1049C22×D4—261no—
1050C23×C4—131no—
1051C23×C4—131no—
1052C23×C4—261no—
1053C2×Q16—131no—
1054C2×Q16—131no—
1055C2×Q16C22×D1311yescharacteristic
1056C2×Q16C22×D1311yescharacteristic
1057C2×SD16—131no—
1058C2×SD16—131no—
1059C2×SD16—131no—
1060C2×SD16C22×D1311yescharacteristic
1061C22×C8—131no—
1062C22×C8—131no—
1063C22×C8—131no—
1064C22×C8—131no—
1065C22×C8—131no—
1066C22×C8—131no—
1067C22×C8C22×D1311yescharacteristic
1068C22×C8C22×D1311yescharacteristic
1069#126—21no—
1070#126—261no—
1071#126—261no—
1072#126—261no—
1073#126—261no—
1074#126—261no—
1075#126—261no—
1076#126—261no—
1077#126—261no—
1078#126—261no—
1079#126—261no—
1080#126—261no—
1081#126—261no—
1082#126—261no—
1083#125—21no—
1084#125—131no—
1085#125—131no—
1086#125—131no—
1087#125—131no—
1088#125—131no—
1089#125—261no—
1090#125—261no—
1091#125—261no—
1092#125—261no—
1093#125—261no—
1094#125—261no—
1095#125—261no—
1096#125—261no—
1097#125—261no—
1098#125—261no—
1099#125—261no—
1100#125C22×D1311yescharacteristic
1101#124—21no—
1102#124—131no—
1103#124—261no—
1104#124C22×D1311yescharacteristic
1105#123—21no—
1106#123—261no—
1107#123—261no—
1108#123—261no—
1109#123—261no—
1110#123—261no—
1111#123—261no—
1112#123—261no—
1113#123—261no—
1114#123—261no—
1115#123—261no—
1116#123—261no—
1117#123—261no—
1118#123—261no—
1119#123—261no—
1120#123—261no—
1121#123—261no—
1122#123—261no—
1123C22⋊Q8—21no—
1124C22⋊Q8—131no—
1125C22⋊Q8—131no—
1126C22⋊Q8—131no—
1127C22⋊Q8—131no—
1128C22⋊Q8—131no—
1129C22⋊Q8—131no—
1130C22⋊Q8—131no—
1131C22⋊Q8—131no—
1132C22⋊Q8—131no—
1133C22⋊Q8—131no—
1134C22⋊Q8—131no—
1135C22⋊Q8—261no—
1136C22⋊Q8—261no—
1137C22⋊Q8—261no—
1138C22⋊Q8—261no—
1139C22⋊Q8—261no—
1140C22⋊Q8—261no—
1141C22⋊Q8—261no—
1142C22⋊Q8C22×D1311yescharacteristic
1143C22⋊Q8C22×D1311yescharacteristic
1144C22⋊Q8C22×D1311yescharacteristic
1145#121—21no—
1146#121—131no—
1147#121—131no—
1148#121—131no—
1149#121—131no—
1150#121—131no—
1151#121—261no—
1152#121—261no—
1153#121—261no—
1154#121—261no—
1155#121—261no—
1156#121—261no—
1157#121—261no—
1158#121C22×D1311yescharacteristic
1159#120—261no—
1160#120—261no—
1161#120—261no—
1162#120—261no—
1163C4×Q8—131no—
1164C4×Q8—131no—
1165C4×Q8—131no—
1166C4×Q8—131no—
1167C4×Q8—261no—
1168C4×Q8—261no—
1169C4×Q8C22×D1311yescharacteristic
1170C4×Q8C22×D1311yescharacteristic
1171C4×D4—21no—
1172C4×D4—131no—
1173C4×D4—131no—
1174C4×D4—131no—
1175C4×D4—131no—
1176C4×D4—131no—
1177C4×D4—131no—
1178C4×D4—131no—
1179C4×D4—131no—
1180C4×D4—131no—
1181C4×D4—261no—
1182C4×D4—261no—
1183C4×D4—261no—
1184C4×D4—261no—
1185C4×D4—261no—
1186C4×D4—261no—
1187C4×D4—261no—
1188C4×D4—261no—
1189C4×D4—261no—
1190C4×D4C22×D1311yescharacteristic
1191#117—21no—
1192#117—131no—
1193#117—131no—
1194#117—131no—
1195#117—131no—
1196#117—131no—
1197#117—261no—
1198#117—261no—
1199#117—261no—
1200#117—261no—
1201#117—261no—
1202#117—261no—
1203#117—261no—
1204#117—261no—
1205#117—261no—
1206#117—261no—
1207#117—261no—
1208#117—261no—
1209#117—261no—
1210#117C22×D1311yescharacteristic
1211C2×C4⋊C4—131no—
1212C2×C4⋊C4—131no—
1213C2×C4⋊C4—131no—
1214C2×C4⋊C4—131no—
1215C2×C4⋊C4—131no—
1216C2×C4⋊C4—131no—
1217C2×C4⋊C4—131no—
1218C2×C4⋊C4—131no—
1219C2×C4⋊C4—131no—
1220C2×C4⋊C4—261no—
1221C2×C4⋊C4—261no—
1222C2×C4⋊C4—261no—
1223C2×C4⋊C4—261no—
1224C2×C4⋊C4—261no—
1225C2×C4⋊C4—261no—
1226C2×C4⋊C4—261no—
1227C2×C4⋊C4—261no—
1228C2×C4⋊C4—261no—
1229C2×C4⋊C4C22×D1311yescharacteristic
1230C2×C22⋊C4—131no—
1231C2×C22⋊C4—131no—
1232C2×C22⋊C4—261no—
1233C2×C22⋊C4—261no—
1234C2×C22⋊C4—261no—
1235C2×C22⋊C4—261no—
1236C2×C22⋊C4—261no—
1237C2×C22⋊C4—261no—
1238C2×C22⋊C4—261no—
1239C2×C42—131no—
1240C2×C42—261no—
1241C2×C42—261no—
1242#107—131no—
1243#107—131no—
1244#107—131no—
1245#107—131no—
1246#107—131no—
1247#107—131no—
1248#107—131no—
1249#107—131no—
1250#107—131no—
1251#107—131no—
1252#107C22×D1311yescharacteristic
1253#107C22×D1311yescharacteristic
1254#106—131no—
1255#106—131no—
1256#106—131no—
1257#106—131no—
1258#106—131no—
1259#106—131no—
1260#106—131no—
1261#106—131no—
1262#106—131no—
1263#106—131no—
1264#106—131no—
1265#106C22×D1311yescharacteristic
1266C4⋊C8—131no—
1267C4⋊C8—131no—
1268C4⋊C8—131no—
1269C4⋊C8C22×D1311yescharacteristic
1270#103—131no—
1271#103—131no—
1272#103—131no—
1273#103—131no—
1274#103—131no—
1275#103—131no—
1276#103—131no—
1277#103—131no—
1278#103—131no—
1279#103—131no—
1280#103—131no—
1281#103—131no—
1282#103—131no—
1283#103C22×D1311yescharacteristic
1284#103C22×D1311yescharacteristic
1285#103C22×D1311yescharacteristic
1286#103C22×D1311yescharacteristic
1287#103C22×D1311yescharacteristic
1288#103C22×D1311yescharacteristic
1289#103C22×D1311yescharacteristic
1290#102—131no—
1291#102—131no—
1292#102—131no—
1293#102—131no—
1294#102—131no—
1295#102—131no—
1296#102—131no—
1297#102—131no—
1298#102—131no—
1299#102C22×D1311yescharacteristic
1300#102C22×D1311yescharacteristic
1301#102C22×D1311yescharacteristic
1302C22⋊C8—131no—
1303C22⋊C8—131no—
1304C22⋊C8—131no—
1305C22⋊C8—131no—
1306C22⋊C8—131no—
1307C22⋊C8—131no—
1308C22⋊C8—131no—
1309C22⋊C8—131no—
1310C22⋊C8—131no—
1311C22⋊C8—131no—
1312C22⋊C8C22×D1311yescharacteristic
1313C22⋊C8C22×D1311yescharacteristic
1314C4×C8—131no—
1315C4×C8—131no—
1316C4×C8—131no—
1317C4×C8C22×D1311yescharacteristic
1318C2×C13—22no—
1319C2×C13—41no—
1320C2×C13—81no—
1321C2×C13#348511yescharacteristic
1322C2×C13C22×#13511yescharacteristic
1323C2×C13#358611yescharacteristic
1324D13—22no—
1325D13—22no—
1326D13—41no—
1327D13—81no—
1328C24—131no—
1329C24—131no—
1330C24—261no—
1331#41—41no—
1332#41—41no—
1333#41—521no—
1334#41—521no—
1335C2×Q8—21no—
1336C2×Q8—41no—
1337C2×Q8—41no—
1338C2×Q8—131no—
1339C2×Q8—261no—
1340C2×Q8—521no—
1341C2×Q8—521no—
1342C2×Q8C23×D1311yescharacteristic
1343C2×Q8C23×D1311yescharacteristic
1344C2×Q8C23×D1311yescharacteristic
1345C2×D4—21no—
1346C2×D4—21no—
1347C2×D4—131no—
1348C2×D4—131no—
1349C2×D4—131no—
1350C2×D4—131no—
1351C2×D4—261no—
1352C2×D4—261no—
1353C2×D4—261no—
1354C2×D4—264no—
1355C2×D4—261no—
1356C2×D4—261no—
1357C2×D4—261no—
1358C2×D4—261no—
1359C2×D4—521no—
1360C2×D4—521no—
1361C2×D4—524no—
1362C2×D4D4×D1311yescharacteristic
1363C2×D4C23×D1311yescharacteristic
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—131no—
1368C22×C4—131no—
1369C22×C4—131no—
1370C22×C4—131no—
1371C22×C4—131no—
1372C22×C4—131no—
1373C22×C4—131no—
1374C22×C4—131no—
1375C22×C4—131no—
1376C22×C4—131no—
1377C22×C4—131no—
1378C22×C4—261no—
1379C22×C4—261no—
1380C22×C4—261no—
1381C22×C4—261no—
1382C22×C4—261no—
1383C22×C4—261no—
1384C22×C4—261no—
1385C22×C4—261no—
1386C22×C4—261no—
1387C22×C4—261no—
1388C22×C4—261no—
1389C22×C4—261no—
1390C22×C4—521no—
1391C22×C4—521no—
1392C22×C4—521no—
1393C22×C4—521no—
1394C22×C4—524no—
1395C22×C4C23×D1311yescharacteristic
1396C22×C4C23×D1311yescharacteristic
1397Q16—41no—
1398Q16—41no—
1399Q16—521no—
1400Q16—521no—
1401SD16—41no—
1402SD16—521no—
1403SD16—521no—
1404SD16—521no—
1405C2×C8—41no—
1406C2×C8—41no—
1407C2×C8—131no—
1408C2×C8—131no—
1409C2×C8—131no—
1410C2×C8—131no—
1411C2×C8—521no—
1412C2×C8—521no—
1413C2×C8—521no—
1414C2×C8—521no—
1415C2×C8—521no—
1416C2×C8—521no—
1417C2×C8C23×D1311yescharacteristic
1418C2×C8C23×D1311yescharacteristic
1419C2×C8C23×D1311yescharacteristic
1420C2×C8C23×D1311yescharacteristic
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—131no—
1430C4⋊C4—131no—
1431C4⋊C4—131no—
1432C4⋊C4—131no—
1433C4⋊C4—131no—
1434C4⋊C4—131no—
1435C4⋊C4—131no—
1436C4⋊C4—131no—
1437C4⋊C4—131no—
1438C4⋊C4—261no—
1439C4⋊C4—261no—
1440C4⋊C4—261no—
1441C4⋊C4—261no—
1442C4⋊C4—261no—
1443C4⋊C4—261no—
1444C4⋊C4—261no—
1445C4⋊C4—261no—
1446C4⋊C4—261no—
1447C4⋊C4—261no—
1448C4⋊C4—261no—
1449C4⋊C4—261no—
1450C4⋊C4—261no—
1451C4⋊C4—261no—
1452C4⋊C4—261no—
1453C4⋊C4—261no—
1454C4⋊C4—261no—
1455C4⋊C4—261no—
1456C4⋊C4—261no—
1457C4⋊C4—261no—
1458C4⋊C4—261no—
1459C4⋊C4—261no—
1460C4⋊C4—261no—
1461C4⋊C4—261no—
1462C4⋊C4—261no—
1463C4⋊C4—261no—
1464C4⋊C4—261no—
1465C4⋊C4—261no—
1466C4⋊C4—261no—
1467C4⋊C4—261no—
1468C4⋊C4—261no—
1469C4⋊C4—261no—
1470C4⋊C4—261no—
1471C4⋊C4D4×D1311yescharacteristic
1472C4⋊C4C23×D1311yescharacteristic
1473C4⋊C4C23×D1311yescharacteristic
1474C4⋊C4C23×D1311yescharacteristic
1475C4⋊C4C23×D1311yescharacteristic
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—131no—
1484C22⋊C4—131no—
1485C22⋊C4—131no—
1486C22⋊C4—131no—
1487C22⋊C4—131no—
1488C22⋊C4—131no—
1489C22⋊C4—261no—
1490C22⋊C4—261no—
1491C22⋊C4—261no—
1492C22⋊C4—261no—
1493C22⋊C4—261no—
1494C22⋊C4—261no—
1495C22⋊C4—261no—
1496C22⋊C4—261no—
1497C22⋊C4—261no—
1498C22⋊C4—261no—
1499C22⋊C4—261no—
1500C22⋊C4—261no—
1501C22⋊C4—261no—
1502C22⋊C4—261no—
1503C22⋊C4—261no—
1504C22⋊C4—261no—
1505C22⋊C4—261no—
1506C22⋊C4—261no—
1507C22⋊C4—261no—
1508C22⋊C4—261no—
1509C22⋊C4—261no—
1510C22⋊C4—261no—
1511C22⋊C4—261no—
1512C22⋊C4—261no—
1513C22⋊C4—261no—
1514C22⋊C4D4×D1311yescharacteristic
1515C22⋊C4D4×D1311yescharacteristic
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—131no—
1520C42—131no—
1521C42—131no—
1522C42—261no—
1523C42—261no—
1524C42—261no—
1525C42—261no—
1526C42—261no—
1527C42—261no—
1528C42—261no—
1529C42—261no—
1530C42—261no—
1531C42C23×D1311yescharacteristic
1532C13#6169611yescharacteristic, complemented, Sylow
1533C23—21no—
1534C23—131no—
1535C23—131no—
1536C23—134no—
1537C23—131no—
1538C23—262no—
1539C23—261no—
1540C23—521no—
1541C23—521no—
1542C23—521no—
1543C23—521no—
1544C23—522no—
1545C23—1041no—
1546C23—1041no—
1547C23C2×D4×D1311yescharacteristic
1548C23C2×D4×D1311yescharacteristic
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—21no—
1553Q8—21no—
1554Q8—21no—
1555Q8—81no—
1556Q8—261no—
1557Q8—261no—
1558Q8—522no—
1559D4—22no—
1560D4—21no—
1561D4—21no—
1562D4—42no—
1563D4—81no—
1564D4—262no—
1565D4—262no—
1566D4—262no—
1567D4—261no—
1568D4—261no—
1569D4—522no—
1570D4—522no—
1571D4—522no—
1572D4—1041no—
1573D4—1041no—
1574D4—1041no—
1575D4—1041no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—42no—
1588C2×C4—81no—
1589C2×C4—81no—
1590C2×C4—131no—
1591C2×C4—131no—
1592C2×C4—131no—
1593C2×C4—131no—
1594C2×C4—131no—
1595C2×C4—262no—
1596C2×C4—261no—
1597C2×C4—261no—
1598C2×C4—261no—
1599C2×C4—261no—
1600C2×C4—261no—
1601C2×C4—261no—
1602C2×C4—261no—
1603C2×C4—261no—
1604C2×C4—261no—
1605C2×C4—261no—
1606C2×C4—261no—
1607C2×C4—261no—
1608C2×C4—261no—
1609C2×C4—521no—
1610C2×C4—521no—
1611C2×C4—521no—
1612C2×C4—521no—
1613C2×C4—521no—
1614C2×C4—522no—
1615C2×C4—522no—
1616C2×C4—522no—
1617C2×C4—522no—
1618C2×C4—522no—
1619C2×C4—522no—
1620C2×C4—522no—
1621C2×C4—521no—
1622C2×C4—521no—
1623C2×C4—522no—
1624C2×C4—1041no—
1625C2×C4—1041no—
1626C2×C4—1041no—
1627C2×C4—1041no—
1628C2×C4C2×D4×D1311yescharacteristic
1629C2×C4C2×D4×D1311yescharacteristic
1630C2×C4C2×D4×D1311yescharacteristic
1631C2×C4C2×D4×D1311yescharacteristic
1632C2×C4C24×D1311yescharacteristic
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8—261no—
1638C8—261no—
1639C8—261no—
1640C8—261no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—132no—
1650C22—132no—
1651C22—261no—
1652C22—261no—
1653C22—261no—
1654C22—261no—
1655C22—261no—
1656C22—261no—
1657C22—261no—
1658C22—524no—
1659C22—521no—
1660C22—521no—
1661C22—521no—
1662C22—1042no—
1663C22—2082no—
1664C22D13×#13512yes—
1665C22C22×D4×D1311yescharacteristic
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—261no—
1678C4—261no—
1679C4—261no—
1680C4—261no—
1681C4—261no—
1682C4—521no—
1683C4—521no—
1684C4—521no—
1685C4—521no—
1686C4—521no—
1687C4—521no—
1688C4—521no—
1689C4#1171964811yescharacteristic
1690C4#1171965011yescharacteristic
1691C2—22no—
1692C2—41no—
1693C2—81no—
1694C2—262no—
1695C2—262no—
1696C2—521no—
1697C2—1041no—
1698C2#1312847311yescharacteristic
1699C2C2×D13×#13511yescharacteristic
1700C2#1312962111yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3300C2
socleC22×C13C23×D4
prime radical#13128672C2
hypercenter#3300D13
hypocenterC13#61696
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3300

Complements

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

NH ≅ G/Ntype
2. D13×#552C2semidirect
3. #13127221C2semidirect
4. #13127219C2semidirect
5. #13127217C2semidirect
6. #13127215C2semidirect
7. #13127206C2semidirect
8. #13127201C2semidirect
9. #13127199C2semidirect
10. #13127197C2semidirect
11. #13126727C2semidirect
12. #13126723C2semidirect
13. #13126719C2semidirect
14. #13126678C2semidirect
15. #13126672C2semidirect
16. #13126670C2semidirect
17. #13126664C2semidirect
18. #13126008C2semidirect
19. #13125999C2semidirect
20. #13125618C2semidirect
21. #13125615C2semidirect
22. #13125609C2semidirect
23. #13125588C2semidirect
24. #13124920C2semidirect
25. #13124915C2semidirect
26. #13124754C2semidirect
27. #13124747C2semidirect
28. C2×#11718466C2semidirect
29. D13×#480C2semidirect
30. #13123857C2semidirect
31. C13×#3300C2semidirect
32. C13×#552C22semidirect
43. D13×#125C22semidirect
50. #11719347C22semidirect
57. D13×C22⋊Q8C22semidirect
65. C4×Q8×D13C22semidirect
69. #11719246C22semidirect
74. D13×#117C22semidirect
75. #11719218C22semidirect
77. C13×#488C22semidirect
78. C13×#485C22semidirect
79. C13×#480C22semidirect
80. C13×#479C22semidirect
81. C13×#467C22semidirect
82. C13×#465C22semidirect
83. C13×#464C22semidirect
84. C13×#452C22semidirect
85. C13×#451C22semidirect
86. C4×C13×Q16C22semidirect
87. C8×D4×C13C22semidirect
88. C13×#416C22semidirect
89. C2×C13×#103C22semidirect
90. #11718900C22semidirect
91. #11718894C22semidirect
92. #11718889C22semidirect
93. C2×#88075C22semidirect
94. #11718849C22semidirect
95. #11718849C22semidirect
96. #11718849C22semidirect
97. #11718848C22semidirect
98. #11718847C22semidirect
99. #11718847C22semidirect
100. #11718846C22semidirect
101. Q16×Dic13C22semidirect
102. #11718832C22semidirect
104. #11718830C22semidirect
105. SD16×Dic13C22semidirect
106. #11718775C22semidirect
107. #11718775C22semidirect
109. C8×C22⋊D13C22semidirect
111. C2×#88060C22semidirect
112. #11718767C22semidirect
113. C2×#88057C22semidirect
114. #11718727C22semidirect
115. #11718725C22semidirect
116. #11718717C22semidirect
117. #11718715C22semidirect
118. #11718712C22semidirect
119. #11718709C22semidirect
120. #11718709C22semidirect
121. #11718706C22semidirect
122. #11718706C22semidirect
123. #11718705C22semidirect
124. #11718702C22semidirect
125. #11718694C22semidirect
126. C4×#6107C22semidirect
127. C4×#6106C22semidirect
128. #11718683C22semidirect
129. #11718683C22semidirect
130. D4×#1055C22semidirect
131. #11718664C22semidirect
132. #11718659C22semidirect
133. #11718628C22semidirect
134. C2×#88048C22semidirect
135. #11718549C22semidirect
138. #11718541C22semidirect
139. D13×#107C22semidirect
140. D13×#107C22semidirect
141. #11718539C22semidirect
142. #11718538C22semidirect
144. #11718523C22semidirect
145. #11718521C22semidirect
146. #11718519C22semidirect
147. #11718508C22semidirect
149. #11718494C22semidirect
150. #11718490C22semidirect
151. #11718476C22semidirect
152. #11718476C22semidirect
153. #11718475C22semidirect
154. #11718474C22semidirect
155. #11718474C22semidirect
156. #11718474C22semidirect
157. #11718471C22semidirect
158. #11718470C22semidirect
159. #11718470C22semidirect
161. #11718466C22semidirect
162. #11718466C22semidirect
163. #11718466C22semidirect
164. #11718466C22semidirect
165. #11718466C22semidirect
166. #11718466C22semidirect
167. #11718466C22semidirect
168. #11718466C22semidirect
169. #11718466C22semidirect
170. #11718465C22semidirect
171. #11718465C22semidirect
172. #11718461C22semidirect
173. #11718461C22semidirect
174. #11718460C22semidirect
175. #11718460C22semidirect
176. #11718459C22semidirect
177. #11718457C22semidirect
178. #11718451C22semidirect
179. #11718445C22semidirect
180. #11718440C22semidirect
181. #11718439C22semidirect
183. #11718437C22semidirect
186. D13×#102C22semidirect
187. D13×#102C22semidirect
188. #11718427C22semidirect
189. #11718424C22semidirect
190. #11718419C22semidirect
191. #11718398C22semidirect
192. #11718397C22semidirect
194. #11718386C22semidirect
196. D13×C22⋊C8C22semidirect
197. #11718384C22semidirect
198. #11718383C22semidirect
199. C4×#6095C22semidirect
201. #11718346C22semidirect
202. #11718344C22semidirect
696. #3300D13semidirect
839. #552C2×D13semidirect
874. #488C2×D13semidirect
882. #485C2×D13semidirect
910. #480C2×D13semidirect
918. #479C2×D13semidirect
930. #467C2×D13semidirect
938. #465C2×D13semidirect
942. #464C2×D13semidirect
946. #452C2×D13semidirect
950. #451C2×D13semidirect
958. C4×Q16C2×D13semidirect
970. C8×D4C2×D13semidirect
984. #416C2×D13semidirect
986. C2×#103C2×D13semidirect
1532. C13#61696semidirect

Maximal subgroups

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

subgroupindex
#131286722
D13×#5522
#131272212
#131272192
#131272172
#131272152
#131272062
#131272012
#131271992
#131271972
#131267272
#131267232
#131267192
#131266782
#131266722
#131266702
#131266642
#131260082
#131259992
#131256182
#131256152
#131256092
#131255882
#131249202
#131249152
#131247542
#131247472
C2×#117184662
D13×#4802
#131238572
C13×#33002
#6169613