Finite Group Databasebeta

← #30576077

Subgroups — #30576077

Order 15616.

1762 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459790C211yesmaximal, characteristic, complemented
2#21459444C211yesmaximal, characteristic, complemented
3#21458748C211yesmaximal, characteristic, complemented
4#21458724C211yesmaximal, characteristic, complemented
5#21458551C211yesmaximal, characteristic, complemented
6#21458527C211yesmaximal, characteristic, complemented
7#21458441C211yesmaximal, characteristic, complemented
8#21458412C211yesmaximal, characteristic, complemented
9#21458334C211yesmaximal, characteristic, complemented
10#21458330C211yesmaximal, characteristic, complemented
11#21458323C211yesmaximal, characteristic, complemented
12#21458155C211yesmaximal, characteristic, complemented
13#21458141C211yesmaximal, characteristic, complemented
14#21457947C211yesmaximal, characteristic, complemented
15#21457943C211yesmaximal, characteristic, complemented
16#21457831C211yesmaximal, characteristic, complemented
17#21457819C211yesmaximal, characteristic, complemented
18#21457183C211yesmaximal, characteristic, complemented
19#21457174C211yesmaximal, characteristic, complemented
20#21457138C211yesmaximal, characteristic, complemented
21#21457010C211yesmaximal, characteristic, complemented
22#21457006C211yesmaximal, characteristic, complemented
23#21456953C211yesmaximal, characteristic, complemented
24#21455924C211yesmaximal, characteristic, complemented
25#21455923C211yesmaximal, characteristic, complemented
26#21455832C211yesmaximal, characteristic, complemented
27#21455640C211yesmaximal, characteristic, complemented
28#21455636C211yesmaximal, characteristic, complemented
29#21455605C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3347C211yesmaximal, characteristic, complemented
32#16840492C2211yescharacteristic
33#16840489C2211yescharacteristic
34#16840475—21no—
35#16840475C2211yescharacteristic
36#16840475C2211yescharacteristic
37#16840474—21no—
38#16840474—21no—
39#16840471C2211yescharacteristic
40#16840467C2211yescharacteristic
41#16840459C2211yescharacteristic
42#16840452—21no—
43#16840452C2211yescharacteristic
44#16840451C2211yescharacteristic
45#16840449—21no—
46#16840448—21no—
47#16840433C2211yescharacteristic
48#16840433C2211yescharacteristic
49#16840430—21no—
50#16840430C2211yescharacteristic
51#16840430C2211yescharacteristic
52#16840412—21no—
53#16840412C2211yescharacteristic
54#16840369—21no—
55#16840357—21no—
56#16840355—21no—
57#16840315C2211yescharacteristic
58#16840313C2211yescharacteristic
59#16840311—21no—
60#16840311—21no—
61#16840307—21no—
62#16840307C2211yescharacteristic
63#16840307C2211yescharacteristic
64#16840294C2211yescharacteristic
65#16840293C2211yescharacteristic
66#16840293C2211yescharacteristic
67C2×#14519768C2211yescharacteristic
68#125×D61C2211yescharacteristic
69#16840241—21no—
70#16840230—21no—
71#16840230C2211yescharacteristic
72#16840230C2211yescharacteristic
73C4×#11758224C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840168C2211yescharacteristic
78#16840166C2211yescharacteristic
79#16840159C2211yescharacteristic
80#16840128C2211yescharacteristic
81#16840127C2211yescharacteristic
82#16840125C2211yescharacteristic
83#16840125C2211yescharacteristic
84#16840107C2211yescharacteristic
85#16840107C2211yescharacteristic
86#16840106C2211yescharacteristic
87#16840103C2211yescharacteristic
88#16840103C2211yescharacteristic
89#16840087C2211yescharacteristic
90#16840086C2211yescharacteristic
91#16840085C2211yescharacteristic
92#16840083C2211yescharacteristic
93#16840082C2211yescharacteristic
94#16840082C2211yescharacteristic
95#16840081C2211yescharacteristic
96#16840078C2211yescharacteristic
97#16840077C2211yescharacteristic
98#16840077C2211yescharacteristic
99#16840075C2211yescharacteristic
100#16840072C2211yescharacteristic
101#16840072C2211yescharacteristic
102#16840070C2211yescharacteristic
103#16840068C2211yescharacteristic
104#16840068C2211yescharacteristic
105#16840068C2211yescharacteristic
106#16840066C2211yescharacteristic
107#16840065C2211yescharacteristic
108#16840065C2211yescharacteristic
109#16840065C2211yescharacteristic
110#16840065C2211yescharacteristic
111#16840064C2211yescharacteristic
112#16840064C2211yescharacteristic
113#16840062C2211yescharacteristic
114#16840061C2211yescharacteristic
115#16840061C2211yescharacteristic
116#16840061C2211yescharacteristic
117#16840061C2211yescharacteristic
118#16840060C2211yescharacteristic
119#16840056C2211yescharacteristic
120#16840056C2211yescharacteristic
121#16840051C2211yescharacteristic
122#16840050C2211yescharacteristic
123#16840046C2211yescharacteristic
124#16840046C2211yescharacteristic
125#16840044C2211yescharacteristic
126#16840041C2211yescharacteristic
127#16840040C2211yescharacteristic
128#16840014C2211yescharacteristic
129#16840014C2211yescharacteristic
130#16840013C2211yescharacteristic
131#16840009C2211yescharacteristic
132#16840009C2211yescharacteristic
133#16840008C2211yescharacteristic
134#16840006C2211yescharacteristic
135#16839996C2211yescharacteristic
136#16839991C2211yescharacteristic
137#16839989C2211yescharacteristic
138#16839983C2211yescharacteristic
139#16839976C2211yescharacteristic
140#16839976C2211yescharacteristic
141#16839975C2211yescharacteristic
142#16839963C2211yescharacteristic
143#16839961C2211yescharacteristic
144#16839961C2211yescharacteristic
145#16839957C2211yescharacteristic
146#16839955C2211yescharacteristic
147#16839955C2211yescharacteristic
148#16839926C2211yescharacteristic
149#16839926C2211yescharacteristic
150#16839925C2211yescharacteristic
151#16839905C2211yescharacteristic
152#16839905C2211yescharacteristic
153#16839904C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839871C2211yescharacteristic
157#16839870C2211yescharacteristic
158#16839868C2211yescharacteristic
159#16839862C2211yescharacteristic
160#16839862C2211yescharacteristic
161#16839861C2211yescharacteristic
162#16839859C2211yescharacteristic
163#16839856C2211yescharacteristic
164#16839853C2211yescharacteristic
165#16839849C2211yescharacteristic
166#16839842C2211yescharacteristic
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic
174#16839812C2211yescharacteristic
175#16839805C2211yescharacteristic
176#16839803C2211yescharacteristic
177#16839801C2211yescharacteristic
178#16839798C2211yescharacteristic
179#16839785C2211yescharacteristic
180#16839784C2211yescharacteristic
181C2×#14519706C2211yescharacteristic
182#16839764C2211yescharacteristic
183#16839761C2211yescharacteristic
184#16839760C2211yescharacteristic
185#16839760C2211yescharacteristic
186#16839759C2211yescharacteristic
187#16839756C2211yescharacteristic
188C61×#555C2211yescharacteristic
189C61×#553C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#482C2211yescharacteristic
193C61×#482C2211yescharacteristic
194C61×#480C2211yescharacteristic
195C61×#478C2211yescharacteristic
196C61×#474C2211yescharacteristic
197C61×#469C2211yescharacteristic
198C61×#466C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#428C2211yescharacteristic
202C61×#427C2211yescharacteristic
203C2×#11758226—21no—
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758222C2311yescharacteristic
207C2×#11758224—21no—
208C2×#11758224—21no—
209C2×#11758224—21no—
210C2×#11758224D411yescharacteristic
211C2×#11758224C2311yescharacteristic
212C2×Dic244C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758200C2311yescharacteristic
217C2×#11758199C2311yescharacteristic
218C2×#11758199C2311yescharacteristic
219C2×#11758194C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×#11758189C2311yescharacteristic
222C22×#92418C2311yescharacteristic
223#14519776—21no—
224#14519776—21no—
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519775—21no—
230#14519775—21no—
231#14519774C2311yescharacteristic
232#14519773—21no—
233#14519773—21no—
234#14519773—21no—
235#14519773C2311yescharacteristic
236#14519773C2311yescharacteristic
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519769—21no—
244#14519769C2311yescharacteristic
245#14519768—21no—
246#14519768—21no—
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519766—21no—
259#14519765—21no—
260#14519765—21no—
261#14519764C2311yescharacteristic
262#14519763—21no—
263#14519763—21no—
264#14519763—21no—
265#14519763—21no—
266#14519759—21no—
267#14519759—21no—
268#14519759—21no—
269#14519758—21no—
270#14519758—21no—
271#14519758—21no—
272#14519758—21no—
273#14519758—21no—
274#14519757C2311yescharacteristic
275#14519756—21no—
276#14519756—21no—
277#14519756C2311yescharacteristic
278#14519756C2311yescharacteristic
279#14519755—21no—
280#14519754—21no—
281#14519754—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519752—21no—
286#14519752C2311yescharacteristic
287#14519752C2311yescharacteristic
288#14519751—21no—
289#14519751C2311yescharacteristic
290#14519751C2311yescharacteristic
291#14519750—21no—
292#14519750—21no—
293#14519750—21no—
294#14519750—21no—
295#14519750—21no—
296#14519750—21no—
297#14519750—21no—
298#14519750—21no—
299#14519749—21no—
300#14519749—21no—
301#14519749—21no—
302#14519749—21no—
303#14519748—21no—
304#14519748C2311yescharacteristic
305C4×Dic122—21no—
306C4×Dic122—21no—
307C4×Dic122C2311yescharacteristic
308C4×Dic122C2311yescharacteristic
309C4×Dic122C2311yescharacteristic
310#14519742—21no—
311#14519742—21no—
312#14519742D411yescharacteristic
313#14519742C2311yescharacteristic
314#14519742C2311yescharacteristic
315#14519742C2311yescharacteristic
316#14519742C2311yescharacteristic
317#14519742C2311yescharacteristic
318D4×Dic61—21no—
319D4×Dic61—21no—
320D4×Dic61D411yescharacteristic
321D4×Dic61C2311yescharacteristic
322D4×Dic61C2311yescharacteristic
323D4×Dic61C2311yescharacteristic
324#14519739—21no—
325#14519739—21no—
326#14519739C2311yescharacteristic
327#14519739C2311yescharacteristic
328#14519739C2311yescharacteristic
329#14519739C2311yescharacteristic
330C4×C22⋊D61—21no—
331C4×C22⋊D61—21no—
332C4×C22⋊D61—21no—
333C4×C22⋊D61C2311yescharacteristic
334C4×C22⋊D61C2311yescharacteristic
335#14519737—21no—
336#14519737—21no—
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737D411yescharacteristic
346#14519737D411yescharacteristic
347#14519736—21no—
348#14519736C2311yescharacteristic
349#14519735D411yescharacteristic
350#14519735C2311yescharacteristic
351#14519734—21no—
352#14519734—21no—
353#14519734—21no—
354#14519734—21no—
355#14519734—21no—
356#14519733—21no—
357#14519733—21no—
358#14519733—21no—
359#14519733—21no—
360#14519733D411yescharacteristic
361#14519733D411yescharacteristic
362C2×C4⋊Dic61—21no—
363C2×C4⋊Dic61C2311yescharacteristic
364C2×#11758196—21no—
365C2×#11758196—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C2×C4×Dic61—21no—
371C2×C4×Dic61C2311yescharacteristic
372C2×C4×Dic61C2311yescharacteristic
373C42×D61—21no—
374C42×D61—21no—
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×D8×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#125×C61C2311yescharacteristic
441#124×C61—21no—
442#124×C61—21no—
443#123×C61—21no—
444#121×C61—21no—
445#121×C61—21no—
446#121×C61C2311yescharacteristic
447#121×C61C2311yescharacteristic
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450C4×D4×C61—21no—
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454#117×C61—21no—
455#117×C61C2311yescharacteristic
456#117×C61C2311yescharacteristic
457#117×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×D4×C61—21no—
480C2×D4×C61—21no—
481C2×D4×C61—21no—
482C2×D4×C61—21no—
483C2×D4×C61C2×D411yescharacteristic
484C2×D4×C61C2411yescharacteristic
485C2×D4×C61C2411yescharacteristic
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61C2411yescharacteristic
490C22×C4×C61C2411yescharacteristic
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61C2×D411yescharacteristic
502C2×C22⋊D61C2×D411yescharacteristic
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61C2×D411yescharacteristic
509C22×Dic61C2×D411yescharacteristic
510C22×Dic61C2×D411yescharacteristic
511C22×Dic61C2×D411yescharacteristic
512#11758226—82no—
513#11758224—22no—
514#11758224—41no—
515#11758224—42no—
516#11758224—44no—
517#11758224—82no—
518#11758224—82no—
519#11758222—22no—
520#11758222—22no—
521#11758222—41no—
522#11758222—41no—
523#11758222—44no—
524C2×D244—21no—
525C2×D244—21no—
526C2×D244—21no—
527C2×D244—21no—
528C2×D244C2411yescharacteristic
529C2×D244C2411yescharacteristic
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61C2×D411yescharacteristic
539C2×C4×D61C2×D411yescharacteristic
540C2×C4×D61C2411yescharacteristic
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122C2×D411yescharacteristic
546C2×Dic122C2411yescharacteristic
547C2×Dic122C2411yescharacteristic
548D8×C61—41no—
549M16×C61—41no—
550C2×C8×C61—41no—
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61C2×D411yescharacteristic
576C22⋊C4×C61C2×D411yescharacteristic
577C42×C61—21no—
578C42×C61—21no—
579C42×C61—21no—
580C42×C61C2411yescharacteristic
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61C2×D411yescharacteristic
591C22⋊Dic61C2×D411yescharacteristic
592#11758200—22no—
593#11758200—41no—
594#11758199—41no—
595#11758199—41no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198C2×D411yescharacteristic
607#11758198C2×D411yescharacteristic
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61C2×D411yescharacteristic
616C4⋊Dic61C2411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663C4×Dic61C2411yescharacteristic
664#11758194—41no—
665C2×#92418—41no—
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670Dic244—22no—
671#11758190—41no—
672#11758190—41no—
673#11758189—41no—
674#11758189—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61C22×D411yescharacteristic
678C23×C61C22×D411yescharacteristic
679C22×D61—21no—
680C22×D61—21no—
681C22×D61C22×D411yescharacteristic
682Q8×C61—81no—
683D4×C61—21no—
684D4×C61—21no—
685D4×C61—21no—
686D4×C61—21no—
687D4×C61—41no—
688D4×C61—42no—
689D4×C61—81no—
690D4×C61—81no—
691D4×C61—81no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—42no—
703C2×C4×C61—81no—
704C2×C4×C61—81no—
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C2511yescharacteristic
710C22⋊D61—22no—
711C22⋊D61—41no—
712C22⋊D61—42no—
713C22⋊D61—42no—
714C22⋊D61—42no—
715C22⋊D61—42no—
716C22⋊D61—42no—
717C22⋊D61—42no—
718C22⋊D61—81no—
719C22⋊D61—81no—
720C22⋊D61—81no—
721C22⋊D61—81no—
722C2×Dic61—21no—
723C2×Dic61—22no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—41no—
730C2×Dic61—41no—
731C2×Dic61—41no—
732C2×Dic61—42no—
733C2×Dic61—42no—
734C2×Dic61—42no—
735C2×Dic61—42no—
736C2×Dic61—81no—
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740C2×Dic61C22×D411yescharacteristic
741C2×Dic61C22×D411yescharacteristic
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744D244—21no—
745D244—21no—
746D244—21no—
747D244—21no—
748D244—42no—
749D244—81no—
750D244—81no—
751D244—81no—
752C4×D61—21no—
753C4×D61—21no—
754C4×D61—41no—
755C4×D61—41no—
756C4×D61—42no—
757C4×D61—42no—
758C4×D61—42no—
759C4×D61—42no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—42no—
763C4×D61—81no—
764Dic122—21no—
765Dic122—22no—
766Dic122—21no—
767Dic122—21no—
768Dic122—42no—
769Dic122—81no—
770Dic122—81no—
771Dic122—81no—
772Dic1222−1+412yes—
773C8×C61—21no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62123—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—21no—
786C22×C61—21no—
787C22×C61—21no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61C23×D411yescharacteristic
795C2×D61—21no—
796C2×D61—21no—
797C2×D61—21no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C4×C61—21no—
805C4×C61—21no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61C2×2−1+411yescharacteristic
815C4×C61#58511yescharacteristic
816Dic61—21no—
817Dic61—21no—
818Dic61—21no—
819Dic61—22no—
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—41no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61#57512yes—
829#3515—611no—
830#3483—611no—
831#3387—611no—
832#3385—611no—
833#3368—611no—
834#3366—611no—
835#3357—611no—
836#3354—611no—
837#3348—611no—
838#3348—611no—
839#3347—611no—
840#3347D6111yescharacteristic, complemented
841#3333—611no—
842#3332—611no—
843#3317—611no—
844#3317—611no—
845#3309—611no—
846#3309—611no—
847#3251—611no—
848#3251—611no—
849#3247—611no—
850#3234—611no—
851#3234—611no—
852#3228—611no—
853#3111—611no—
854#3111—611no—
855#3102—611no—
856#3080—611no—
857#3080—611no—
858#3076—611no—
859#2989—611no—
860C2×C61—41no—
861C2×C61—41no—
862C2×C61—81no—
863C2×C61—81no—
864C2×C61#348911yescharacteristic
865C2×C61C2×#57511yescharacteristic
866C2×C61#358511yescharacteristic
867D61—41no—
868D61—81no—
869D61—81no—
870Q82—611no—
871#557—611no—
872#555—611no—
873#555—611no—
874#555—1221no—
875#555—1221no—
876#555—1221no—
877#555C2×D6111yescharacteristic
878#554—611no—
879#554—611no—
880#553—611no—
881#553C2×D6111yescharacteristic
882#552—611no—
883#552—611no—
884#552—1221no—
885#552—1221no—
886#552—1221no—
887#550—611no—
888#550—611no—
889#550—611no—
890#550—611no—
891#550—1221no—
892#547—611no—
893#547—1221no—
894#541—1221no—
895#539—1221no—
896#539—1221no—
897#533—611no—
898#532—611no—
899#532—611no—
900#532—611no—
901#532—1221no—
902#532—1221no—
903#532—1221no—
904#529—611no—
905#529—611no—
906#529—611no—
907C2×#125—611no—
908C2×#125—611no—
909#520—1221no—
910C4×#41—611no—
911C4×#41—611no—
912C4×#41—611no—
913C4×#41—611no—
914C4×#41—1221no—
915#501—611no—
916#501—611no—
917#501—611no—
918#501C2×D6111yescharacteristic
919#500—611no—
920#498—611no—
921#490—611no—
922#490—611no—
923#490—611no—
924#490—611no—
925#486—611no—
926#486—611no—
927#485—611no—
928#485—611no—
929#485—611no—
930#482—611no—
931#482—611no—
932#482—611no—
933#482—611no—
934#482C2×D6111yescharacteristic
935#482C2×D6111yescharacteristic
936#482C2×D6111yescharacteristic
937#481—611no—
938#481—611no—
939#481—611no—
940#481—611no—
941#480—611no—
942#480—611no—
943#480—611no—
944#480C2×D6111yescharacteristic
945#479—611no—
946#479—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#478—611no—
953#478—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478—611no—
962#478—611no—
963#478—611no—
964#478C2×D6111yescharacteristic
965#477—611no—
966#477—611no—
967#476—611no—
968#476—611no—
969#475—611no—
970#475—611no—
971#475—611no—
972#474—611no—
973#474—611no—
974#474C2×D6111yescharacteristic
975#469—611no—
976#469—611no—
977#469—611no—
978#469C2×D6111yescharacteristic
979#468—611no—
980#468—611no—
981#468—611no—
982#468—611no—
983#466—611no—
984#466C2×D6111yescharacteristic
985#465—611no—
986#465—611no—
987#464—611no—
988#463—611no—
989#463—611no—
990#463—611no—
991#460—611no—
992#460—611no—
993#460—611no—
994#459—611no—
995#459—611no—
996#459—611no—
997#452—611no—
998#452—611no—
999#452—611no—
1000#449—611no—
1001#449—611no—
1002#449—611no—
1003#446—611no—
1004#446—611no—
1005#442—611no—
1006#442C2×D6111yescharacteristic
1007#441—611no—
1008#441—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012#440—611no—
1013C4×Q16—611no—
1014C4×SD16—611no—
1015C4×SD16—611no—
1016C4×D8—611no—
1017#436—611no—
1018#436—611no—
1019#435—611no—
1020#435—611no—
1021#435—611no—
1022#435C2×D6111yescharacteristic
1023#432—611no—
1024#432—611no—
1025#431—611no—
1026#428—611no—
1027#428—611no—
1028#428—611no—
1029#428C2×D6111yescharacteristic
1030#427—611no—
1031#427C2×D6111yescharacteristic
1032#423—611no—
1033#423—611no—
1034C2×C4⋊C8—611no—
1035#417—611no—
1036#417—611no—
1037#417—611no—
1038#417—611no—
1039#416—611no—
1040#416—611no—
1041C61#6212311yescharacteristic, complemented, Sylow
1042C2×#41—611no—
1043C2×#41—611no—
1044C2×#41—611no—
1045C2×#41—611no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C2×#41—1221no—
1049C2×#41—1221no—
1050C2×#41—1221no—
1051C2×Q16—611no—
1052C2×SD16—611no—
1053C2×SD16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×D8—611no—
1057C2×D8—611no—
1058C2×D8C22×D6111yescharacteristic
1059C2×M16—611no—
1060C2×M16—611no—
1061C2×M16—611no—
1062C2×M16C22×D6111yescharacteristic
1063C22×C8—611no—
1064C22×C8C22×D6111yescharacteristic
1065C4⋊Q8—611no—
1066C4⋊Q8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—1221no—
1070C4⋊Q8—1221no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8C22×D6111yescharacteristic
1074#127—611no—
1075#127—611no—
1076#127—611no—
1077#127—1221no—
1078#127—1221no—
1079#127—1221no—
1080#126—21no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#126—1221no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—611no—
1091#125—611no—
1092#125—611no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#125—1221no—
1100#125—1221no—
1101#125—1221no—
1102#125C22×D6111yescharacteristic
1103#124—21no—
1104#124—21no—
1105#124—611no—
1106#124—1221no—
1107#124—1221no—
1108#124—1221no—
1109#124—1221no—
1110#124—1221no—
1111#124—1221no—
1112#124—1221no—
1113#123—21no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122C22⋊Q8—611no—
1123C22⋊Q8—611no—
1124C22⋊Q8—611no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133#121—21no—
1134#121—21no—
1135#121—611no—
1136#121—611no—
1137#121—611no—
1138#121—611no—
1139#121—611no—
1140#121—1221no—
1141#121—1221no—
1142#121—1221no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121C22×D6111yescharacteristic
1156#121C22×D6111yescharacteristic
1157#121C22×D6111yescharacteristic
1158#121C22×D6111yescharacteristic
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—611no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8—1221no—
1171C4×Q8—1221no—
1172C4×D4—21no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4C22×D6111yescharacteristic
1203C4×D4C22×D6111yescharacteristic
1204C4×D4C22×D6111yescharacteristic
1205#117—21no—
1206#117—611no—
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—1221no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117C22×D6111yescharacteristic
1222#117C22×D6111yescharacteristic
1223#117C22×D6111yescharacteristic
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C4⋊C4C22×D6111yescharacteristic
1233C2×C42—611no—
1234C2×C42—611no—
1235C2×C42—611no—
1236C2×C42—1221no—
1237C2×C42—1221no—
1238C2×C42—1221no—
1239#107—611no—
1240#107—611no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107C22×D6111yescharacteristic
1247#107C22×D6111yescharacteristic
1248#107C22×D6111yescharacteristic
1249#107C22×D6111yescharacteristic
1250#107C22×D6111yescharacteristic
1251#106—611no—
1252#106—611no—
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106C22×D6111yescharacteristic
1260#106C22×D6111yescharacteristic
1261#106C22×D6111yescharacteristic
1262#106C22×D6111yescharacteristic
1263C4⋊C8—611no—
1264C4⋊C8—611no—
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8C22×D6111yescharacteristic
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102C22×D6111yescharacteristic
1300#102C22×D6111yescharacteristic
1301#102C22×D6111yescharacteristic
1302#102C22×D6111yescharacteristic
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305C22⋊C8—611no—
1306C22⋊C8—611no—
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8C22×D6111yescharacteristic
1310C22⋊C8C22×D6111yescharacteristic
1311#97—611no—
1312#97—611no—
1313#97—611no—
1314#97C22×D6111yescharacteristic
1315C4×C8—611no—
1316C4×C8—611no—
1317#41—1222no—
1318#41—1222no—
1319#41—1222no—
1320#41—4882no—
1321#41—4882no—
1322#41—4882no—
1323#41—2441no—
1324#41—2441no—
1325#41—2444no—
1326#41—2441no—
1327#41—2442no—
1328#41—2444no—
1329C2×Q8—21no—
1330C2×Q8—611no—
1331C2×Q8—611no—
1332C2×Q8—611no—
1333C2×Q8—1221no—
1334C2×Q8—1221no—
1335C2×Q8—1221no—
1336C2×Q8—1221no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—611no—
1342C2×D4—611no—
1343C2×D4—611no—
1344C2×D4—611no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—1221no—
1352C2×D4—1221no—
1353C2×D4—1221no—
1354C2×D4—1221no—
1355C2×D4—1221no—
1356C2×D4—1221no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4D4×D6111yescharacteristic
1360C2×D4C23×D6111yescharacteristic
1361C2×D4C23×D6111yescharacteristic
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4C23×D6111yescharacteristic
1386C22×C4C23×D6111yescharacteristic
1387Q16—1222no—
1388SD16—1222no—
1389SD16—2441no—
1390SD16—2441no—
1391SD16—2441no—
1392D8—41no—
1393D8—2441no—
1394D8—2441no—
1395M16—41no—
1396M16—2441no—
1397M16—2441no—
1398M16—2441no—
1399C2×C8—41no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—611no—
1403C2×C8—611no—
1404C2×C8—2441no—
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C2×C8C23×D6111yescharacteristic
1408C2×C8C23×D6111yescharacteristic
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4D4×D6111yescharacteristic
1452C4⋊C4C23×D6111yescharacteristic
1453C4⋊C4C23×D6111yescharacteristic
1454C4⋊C4C23×D6111yescharacteristic
1455C4⋊C4C23×D6111yescharacteristic
1456C4⋊C4C23×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—611no—
1468C22⋊C4—611no—
1469C22⋊C4—611no—
1470C22⋊C4—611no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4D4×D6111yescharacteristic
1491C22⋊C4D4×D6111yescharacteristic
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—611no—
1496C42—611no—
1497C42—611no—
1498C42—611no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42C23×D6111yescharacteristic
1514C23—21no—
1515C23—21no—
1516C23—611no—
1517C23—1221no—
1518C23—1221no—
1519C23C2×D4×D6111yescharacteristic
1520C23C2×D4×D6111yescharacteristic
1521Q8—81no—
1522Q8—612no—
1523Q8—1222no—
1524Q8—1221no—
1525Q8—1221no—
1526Q8—1221no—
1527Q8—4881no—
1528Q8—4881no—
1529Q8—4881no—
1530Q8—2442no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—41no—
1536D4—42no—
1537D4—81no—
1538D4—81no—
1539D4—81no—
1540D4—1222no—
1541D4—1221no—
1542D4—1221no—
1543D4—1221no—
1544D4—1221no—
1545D4—4881no—
1546D4—4881no—
1547D4—4881no—
1548D4—4881no—
1549D4—4881no—
1550D4—4881no—
1551D4—4881no—
1552D4—2442no—
1553D4—2442no—
1554D4—2441no—
1555D4—2442no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
1559D4—2442no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—42no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—611no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—1222no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—4881no—
1590C2×C4—4881no—
1591C2×C4—2441no—
1592C2×C4—2441no—
1593C2×C4—2442no—
1594C2×C4—2442no—
1595C2×C4—2442no—
1596C2×C4—2442no—
1597C2×C4—2442no—
1598C2×C4—2442no—
1599C2×C4—2442no—
1600C2×C4—2442no—
1601C2×C4—2441no—
1602C2×C4—2441no—
1603C2×C4—2441no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4—2442no—
1607C2×C4C2×D4×D6111yescharacteristic
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C24×D6111yescharacteristic
1612C8—21no—
1613C8—21no—
1614C8—21no—
1615C8—21no—
1616C8—1221no—
1617C8—1221no—
1618C8—1221no—
1619C8—1221no—
1620C22—21no—
1621C22—21no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—1221no—
1633C22—1221no—
1634C22—1221no—
1635C22—2441no—
1636C22—2441no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22C22×D4×D6111yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—612no—
1653C4—1221no—
1654C4—1222no—
1655C4—1221no—
1656C4—1221no—
1657C4—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—2441no—
1661C4—2441no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C42−1+4×D6111yescharacteristic
1666C4#1684059811yescharacteristic
1667C2—41no—
1668C2—41no—
1669C2—81no—
1670C2—81no—
1671C2—4881no—
1672C2—4881no—
1673C2—2441no—
1674C2#2145949311yescharacteristic
1675C2#575×D6111yescharacteristic
1676C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3347C2
socleC22×C61C23×D4
hypercenter#3347D61
hypocenterC61#62123
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #21459790C2semidirect
2. #21459444C2semidirect
3. #21458748C2semidirect
4. #21458724C2semidirect
5. #21458551C2semidirect
6. #21458527C2semidirect
7. #21458441C2semidirect
8. #21458412C2semidirect
9. #21458334C2semidirect
10. #21458330C2semidirect
11. #21458323C2semidirect
12. #21458155C2semidirect
13. #21458141C2semidirect
14. #21457947C2semidirect
15. #21457943C2semidirect
16. #21457831C2semidirect
17. #21457819C2semidirect
18. #21457183C2semidirect
19. #21457174C2semidirect
20. #21457138C2semidirect
21. #21457010C2semidirect
22. #21457006C2semidirect
23. #21456953C2semidirect
24. #21455924C2semidirect
25. #21455923C2semidirect
26. #21455832C2semidirect
27. #21455640C2semidirect
28. #21455636C2semidirect
29. #21455605C2semidirect
30. #21454931C2semidirect
31. C61×#3347C2semidirect
840. #3347D61semidirect
1041. C61#62123semidirect

Maximal subgroups

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

subgroupindex
#214597902
#214594442
#214587482
#214587242
#214585512
#214585272
#214584412
#214584122
#214583342
#214583302
#214583232
#214581552
#214581412
#214579472
#214579432
#214578312
#214578192
#214571832
#214571742
#214571382
#214570102
#214570062
#214569532
#214559242
#214559232
#214558322
#214556402
#214556362
#214556052
#214549312
C61×#33472
#6212361