Finite Group Databasebeta

← #30575969

Subgroups — #30575969

Order 15616.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459788C211yesmaximal, characteristic, complemented
2#21459426C211yesmaximal, characteristic, complemented
3#21458776C211yesmaximal, characteristic, complemented
4#21458759C211yesmaximal, characteristic, complemented
5#21458594C211yesmaximal, characteristic, complemented
6#21458577C211yesmaximal, characteristic, complemented
7#21458418C211yesmaximal, characteristic, complemented
8#21458375C211yesmaximal, characteristic, complemented
9#21458304C211yesmaximal, characteristic, complemented
10#21458302C211yesmaximal, characteristic, complemented
11#21458270C211yesmaximal, characteristic, complemented
12#21458038C211yesmaximal, characteristic, complemented
13#21458015C211yesmaximal, characteristic, complemented
14#21457966C211yesmaximal, characteristic, complemented
15#21457902C211yesmaximal, characteristic, complemented
16#21457838C211yesmaximal, characteristic, complemented
17#21457774C211yesmaximal, characteristic, complemented
18#21457219C211yesmaximal, characteristic, complemented
19#21457174C211yesmaximal, characteristic, complemented
20#21457165C211yesmaximal, characteristic, complemented
21#21457062C211yesmaximal, characteristic, complemented
22#21457008C211yesmaximal, characteristic, complemented
23#21456984C211yesmaximal, characteristic, complemented
24#21455955C211yesmaximal, characteristic, complemented
25#21455923C211yesmaximal, characteristic, complemented
26#21455863C211yesmaximal, characteristic, complemented
27#21455640C211yesmaximal, characteristic, complemented
28#21455617C211yesmaximal, characteristic, complemented
29C2×#16840061C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3345C211yesmaximal, characteristic, complemented
32#16840495C2211yescharacteristic
33#16840487C2211yescharacteristic, complemented
34#16840469C2211yescharacteristic, complemented
35#16840469C2211yescharacteristic, complemented
36#16840468C2211yescharacteristic
37#16840467C2211yescharacteristic
38#16840464C2211yescharacteristic
39#16840464C2211yescharacteristic, complemented
40#16840457—21no—
41#16840456C2211yescharacteristic
42#16840454—21no—
43#16840449—21no—
44#16840449—21no—
45#16840447C2211yescharacteristic
46#16840447C2211yescharacteristic, complemented
47#16840441—21no—
48#16840437—21no—
49#16840411—21no—
50#16840409C2211yescharacteristic
51#16840408C2211yescharacteristic
52#16840401—21no—
53#16840396C2211yescharacteristic
54#16840372—21no—
55#16840356—21no—
56#16840356—21no—
57#16840317C2211yescharacteristic, complemented
58#16840307C2211yescharacteristic
59#16840297C2211yescharacteristic
60#16840295—21no—
61#16840294C2211yescharacteristic, complemented
62#16840293C2211yescharacteristic
63#16840293C2211yescharacteristic, complemented
64#16840293C2211yescharacteristic, complemented
65C2×#14519768C2211yescharacteristic, complemented
66C2×#14519768C2211yescharacteristic, complemented
67#16840272—21no—
68#16840270—21no—
69#16840245—21no—
70#16840230C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×#14519739C2211yescharacteristic
73C4×D4×D61—21no—
74C4×D4×D61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840163C2211yescharacteristic, complemented
79#16840163C2211yescharacteristic, complemented
80#16840125C2211yescharacteristic
81#16840125C2211yescharacteristic
82#16840124C2211yescharacteristic, complemented
83#16840122C2211yescharacteristic, complemented
84#16840115C2211yescharacteristic, complemented
85#16840115C2211yescharacteristic, complemented
86#16840106C2211yescharacteristic, complemented
87#16840106C2211yescharacteristic, complemented
88#16840103C2211yescharacteristic, complemented
89#16840098C2211yescharacteristic, complemented
90#16840097C2211yescharacteristic, complemented
91#16840094C2211yescharacteristic, complemented
92#16840092C2211yescharacteristic, complemented
93#16840089C2211yescharacteristic
94#16840089C2211yescharacteristic
95#16840080C2211yescharacteristic, complemented
96#16840078C2211yescharacteristic
97#16840076C2211yescharacteristic, complemented
98#16840074C2211yescharacteristic, complemented
99#16840073C2211yescharacteristic, complemented
100#16840072C2211yescharacteristic, complemented
101#16840072C2211yescharacteristic, complemented
102#16840068C2211yescharacteristic, complemented
103#16840068C2211yescharacteristic, complemented
104#16840068C2211yescharacteristic, complemented
105#16840068C2211yescharacteristic, complemented
106#16840066C2211yescharacteristic, complemented
107#16840065C2211yescharacteristic
108#16840065C2211yescharacteristic
109#16840061C2211yescharacteristic
110#16840061C2211yescharacteristic
111#16840061C2211yescharacteristic
112#16840061C2211yescharacteristic
113#16840061C2211yescharacteristic
114#16840061C2211yescharacteristic, complemented
115#16840061C2211yescharacteristic, complemented
116#16840061C2211yescharacteristic, complemented
117#16840061C2211yescharacteristic, complemented
118#16840061C2211yescharacteristic, complemented
119#16840060C2211yescharacteristic, complemented
120#16840060C2211yescharacteristic, complemented
121#16840060C2211yescharacteristic, complemented
122#16840060C2211yescharacteristic, complemented
123#16840049C2211yescharacteristic
124#16840046C2211yescharacteristic, complemented
125#16840043C2211yescharacteristic
126#16840042C2211yescharacteristic, complemented
127#16840040C2211yescharacteristic, complemented
128#16840021C2211yescharacteristic, complemented
129#16840014C2211yescharacteristic
130#16840013C2211yescharacteristic, complemented
131#16840009C2211yescharacteristic
132#16840008C2211yescharacteristic, complemented
133#16840007C2211yescharacteristic, complemented
134#16840006C2211yescharacteristic, complemented
135#16840003C2211yescharacteristic, complemented
136#16839989C2211yescharacteristic
137#16839989C2211yescharacteristic, complemented
138#16839985C2211yescharacteristic, complemented
139#16839983C2211yescharacteristic, complemented
140#16839983C2211yescharacteristic, complemented
141#16839977C2211yescharacteristic, complemented
142#16839976C2211yescharacteristic
143#16839976C2211yescharacteristic, complemented
144#16839975C2211yescharacteristic, complemented
145#16839975C2211yescharacteristic, complemented
146#16839961C2211yescharacteristic
147#16839955C2211yescharacteristic
148#16839926C2211yescharacteristic
149#16839915C2211yescharacteristic
150#16839914C2211yescharacteristic
151#16839905C2211yescharacteristic
152#16839895C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839872C2211yescharacteristic
157#16839871C2211yescharacteristic
158#16839868C2211yescharacteristic, complemented
159#16839864C2211yescharacteristic
160#16839862C2211yescharacteristic, complemented
161#16839861C2211yescharacteristic
162#16839859C2211yescharacteristic, complemented
163#16839849C2211yescharacteristic
164#16839849C2211yescharacteristic, complemented
165#16839842C2211yescharacteristic
166#16839842C2211yescharacteristic, complemented
167#16839838C2211yescharacteristic, complemented
168#16839837C2211yescharacteristic, complemented
169#16839834C2211yescharacteristic, complemented
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839805C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic, complemented
177#16839801C2211yescharacteristic, complemented
178C2×#14519710C2211yescharacteristic, complemented
179#16839785C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181C2×#14519706C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839764C2211yescharacteristic
185#16839761C2211yescharacteristic
186C2×#14519699C2211yescharacteristic
187C2×#14519697C2211yescharacteristic
188C61×#553C2211yescharacteristic
189C61×#547C2211yescharacteristic, complemented
190C61×#501C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#481C2211yescharacteristic, complemented
193C61×#481C2211yescharacteristic, complemented
194C61×#480C2211yescharacteristic
195C61×#478C2211yescharacteristic, complemented
196C61×#476C2211yescharacteristic, complemented
197C61×#469C2211yescharacteristic, complemented
198C61×#466C2211yescharacteristic
199C61×#442C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#428C2211yescharacteristic, complemented
202C2×#106×C61C2211yescharacteristic, complemented
203C2×#11758222C2311yescharacteristic
204C2×#11758224—21no—
205C2×#11758224D411yescharacteristic
206C22×D244C2311yescharacteristic
207C2×D4×D61—21no—
208C2×D4×D61C2311yescharacteristic
209C22×C4×D61—21no—
210C22×C4×D61—21no—
211C2×Dic244C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758199C2311yescharacteristic
217C2×#11758199C2311yescharacteristic
218C2×#11758194C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C22×#92418C2311yescharacteristic
222#14519777C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519775—21no—
225#14519773C2311yescharacteristic
226#14519772—21no—
227#14519772—21no—
228#14519772—21no—
229#14519771—21no—
230#14519770—21no—
231#14519770—21no—
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519770—21no—
236#14519768—21no—
237#14519768—21no—
238#14519768—21no—
239#14519768—21no—
240#14519768—21no—
241#14519768C2311yescharacteristic
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519765C2311yescharacteristic
255#14519764C2311yescharacteristic
256#14519764C2311yescharacteristic
257#14519763—21no—
258#14519763—21no—
259#14519762—21no—
260#14519762—21no—
261#14519761—21no—
262#14519761—21no—
263#14519760—21no—
264#14519760—21no—
265#14519760—21no—
266#14519759—21no—
267#14519759—21no—
268#14519759—21no—
269#14519759—21no—
270#14519758—21no—
271#14519758—21no—
272#14519758—21no—
273#14519757—21no—
274#14519757—21no—
275#14519757C2311yescharacteristic
276#14519757C2311yescharacteristic
277#14519756—21no—
278#14519756—21no—
279#14519756C2311yescharacteristic
280#14519756C2311yescharacteristic
281#14519756C2311yescharacteristic
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519754—21no—
286#14519754—21no—
287#14519754—21no—
288#14519754—21no—
289#14519753—21no—
290#14519752C2311yescharacteristic
291#14519751C2311yescharacteristic
292#14519750—21no—
293#14519750—21no—
294#14519750—21no—
295#14519749—21no—
296#14519749—21no—
297#14519749—21no—
298#14519748—21no—
299#14519748C2311yescharacteristic
300#14519747—21no—
301#14519745—21no—
302#14519745—21no—
303#14519745—21no—
304Q8×Dic61—21no—
305Q8×Dic61—21no—
306C4×Dic122C2311yescharacteristic
307C4×Dic122C2311yescharacteristic
308#14519742—21no—
309#14519742D411yescharacteristic
310#14519742C2311yescharacteristic
311#14519742C2311yescharacteristic
312#14519742C2311yescharacteristic
313#14519742C2311yescharacteristic
314C4×D244—21no—
315C4×D244C2311yescharacteristic
316D4×Dic61—21no—
317D4×Dic61—21no—
318D4×Dic61—21no—
319D4×Dic61—21no—
320D4×Dic61—21no—
321D4×Dic61—21no—
322D4×Dic61D411yescharacteristic
323D4×Dic61C2311yescharacteristic
324D4×Dic61C2311yescharacteristic
325D4×Dic61C2311yescharacteristic
326#14519739—21no—
327#14519739—21no—
328#14519739—21no—
329#14519739C2311yescharacteristic
330#14519739C2311yescharacteristic
331#14519739C2311yescharacteristic
332#14519739C2311yescharacteristic
333#14519739C2311yescharacteristic
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61C2311yescharacteristic
339C4×C22⋊D61C2311yescharacteristic
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737D411yescharacteristic
345#14519737D411yescharacteristic
346#14519736—21no—
347#14519736—21no—
348#14519736—21no—
349#14519735—21no—
350#14519735D411yescharacteristic
351#14519735C2311yescharacteristic
352#14519735C2311yescharacteristic
353#14519734—21no—
354#14519733—21no—
355#14519733—21no—
356#14519733—21no—
357#14519733D411yescharacteristic
358#14519733D411yescharacteristic
359C2×C4⋊Dic61—21no—
360C2×C4⋊Dic61—21no—
361C2×C4⋊Dic61—21no—
362C2×C4⋊Dic61C2311yescharacteristic
363C2×C4⋊Dic61C2311yescharacteristic
364C2×#11758196—21no—
365C2×#11758196—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61C2311yescharacteristic
368C2×#11758198—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C22⋊C4×D61—21no—
372C2×C4×Dic61C2311yescharacteristic
373C2×C4×Dic61C2311yescharacteristic
374C42×D61—21no—
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
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×#41×C61—21no—
436C2×D8×C61C2311yescharacteristic
437C2×M16×C61C2311yescharacteristic
438C22×C8×C61C2311yescharacteristic
439C4⋊Q8×C61C2311yescharacteristic
440#126×C61—21no—
441#125×C61C2311yescharacteristic
442#123×C61—21no—
443#123×C61—21no—
444#123×C61—21no—
445C22⋊Q8×C61—21no—
446#121×C61—21no—
447#121×C61C2311yescharacteristic
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451C4×D4×C61—21no—
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455#117×C61C2311yescharacteristic
456C2×C4⋊C4×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×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
478C23×D61—21no—
479C23×D61—21no—
480#41×C61—44no—
481C2×Q8×C61—21no—
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61C2×D411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C2×D4×C61C2411yescharacteristic
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61C2411yescharacteristic
495C22×C4×C61C2411yescharacteristic
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61C2×D411yescharacteristic
503C2×C22⋊D61C2×D411yescharacteristic
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61C2×D411yescharacteristic
510C22×Dic61C2×D411yescharacteristic
511C22×Dic61C2×D411yescharacteristic
512C22×Dic61C2×D411yescharacteristic
513#11758224—42no—
514#11758224—82no—
515D4×D61—22no—
516D4×D61—41no—
517D4×D61—44no—
518#11758222—22no—
519#11758222—41no—
520C2×D244—22no—
521C2×D244—21no—
522C2×D244—21no—
523C2×D244—41no—
524C2×D244C2411yescharacteristic
525C2×D244C2411yescharacteristic
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—82no—
535C2×C4×D61—82no—
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122C2×D411yescharacteristic
542C2×Dic122C2411yescharacteristic
543C2×Dic122C2411yescharacteristic
544D8×C61—41no—
545M16×C61—41no—
546C2×C8×C61—41no—
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61C2×D411yescharacteristic
572C22⋊C4×C61C2×D411yescharacteristic
573C42×C61—21no—
574C42×C61C2411yescharacteristic
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61C2×D411yescharacteristic
587C22⋊Dic61C2×D411yescharacteristic
588#11758200—41no—
589#11758200—41no—
590#11758199—22no—
591#11758199—41no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
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⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61C2×D411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
643#11758196—21no—
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
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—41no—
671#11758190—22no—
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×D61—42no—
682C22×D61—42no—
683C22×D61—42no—
684C22×D61—42no—
685C22×D61—81no—
686C22×D61—81no—
687C22×D61C22×D411yescharacteristic
688Q8×C61—42no—
689D4×C61—22no—
690D4×C61—21no—
691D4×C61—21no—
692D4×C61—21no—
693D4×C61—21no—
694D4×C61—42no—
695D4×C61—42no—
696D4×C61—42no—
697D4×C61—81no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—42no—
709C2×C4×C61—42no—
710C2×C4×C61—42no—
711C2×C4×C61—81no—
712C2×C4×C61—81no—
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C2511yescharacteristic
718C22⋊D61—22no—
719C22⋊D61—41no—
720C22⋊D61—42no—
721C22⋊D61—42no—
722C22⋊D61—42no—
723C22⋊D61—81no—
724C22⋊D61—81no—
725C22⋊D61—81no—
726C2×Dic61—22no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—41no—
734C2×Dic61—41no—
735C2×Dic61—41no—
736C2×Dic61—42no—
737C2×Dic61—81no—
738C2×Dic61—81no—
739C2×Dic61—81no—
740C2×Dic61—81no—
741C2×Dic61C22×D411yescharacteristic
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744C2×Dic61C22×D411yescharacteristic
745C2×Dic61C22×D411yescharacteristic
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748D244—21no—
749D244—21no—
750D244—21no—
751D244—42no—
752D244—42no—
753D2442−1+412yes—
754C4×D61—21no—
755C4×D61—21no—
756C4×D61—41no—
757C4×D61—41no—
758C4×D61—42no—
759C4×D61—42no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766Dic122—21no—
767Dic122—21no—
768Dic122—21no—
769Dic122—21no—
770Dic122—41no—
771Dic122—81no—
772Dic122—81no—
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#62119—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—21no—
786C22×C61—21no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61#57512yes—
794C22×C61C23×D411yescharacteristic
795C2×D61—21no—
796C2×D61—21no—
797C2×D61—22no—
798C2×D61—21no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—84no—
805C2×D61—84no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61C2×2−1+411yescharacteristic
817C4×C61#58511yescharacteristic
818Dic61—21no—
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—21no—
824Dic61—21no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831#3515—611no—
832#3481—611no—
833#3389—611no—
834#3388—611no—
835#3371—611no—
836#3370—611no—
837#3355—611no—
838#3351—611no—
839#3346—611no—
840#3346—611no—
841#3345D6111yescharacteristic, complemented
842#3344—611no—
843#3323—611no—
844#3322—611no—
845#3318—611no—
846#3314—611no—
847#3310—611no—
848#3306—611no—
849#3256—611no—
850#3251—611no—
851#3250—611no—
852#3240—611no—
853#3234—611no—
854#3232—611no—
855#3114—611no—
856#3111—611no—
857#3105—611no—
858#3080—611no—
859#3077—611no—
860C2×#478—611no—
861#2989—611no—
862C2×C61—22no—
863C2×C61—41no—
864C2×C61—81no—
865C2×C61—81no—
866C2×C61#348911yescharacteristic
867C2×C61C2×#57511yescharacteristic
868C2×C61#358511yescharacteristic
869D61—41no—
870D61—42no—
871D61—81no—
872#559—611no—
873#557—611no—
874#554—611no—
875#554—611no—
876#554—611no—
877#554—611no—
878#553—611no—
879#553—611no—
880#553—611no—
881#553—1221no—
882#553C2×D6111yescharacteristic
883#552—611no—
884#552—611no—
885#552—1221no—
886#552—1221no—
887#552—1221no—
888#551—1221no—
889#551—1221no—
890#547—1221no—
891#547C2×D6111yescharacteristic, complemented
892#546—611no—
893#546—611no—
894#546—1221no—
895D42—611no—
896#541—1221no—
897#539—1221no—
898#539—1221no—
899#533—611no—
900#532—611no—
901#529—611no—
902#529—611no—
903#529—611no—
904#529—611no—
905#529—611no—
906#529—1221no—
907C2×#125—611no—
908C2×#125—611no—
909#525—1221no—
910#525—1221no—
911#520—1221no—
912C4×#41—611no—
913C4×#41—611no—
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—1221no—
917#501—611no—
918#501—611no—
919#501—611no—
920#501C2×D6111yescharacteristic, complemented
921#499—611no—
922#499—611no—
923#490—611no—
924#490—611no—
925#489—611no—
926#489—611no—
927#488—611no—
928#488—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#484—611no—
933#484—611no—
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482C2×D6111yescharacteristic, complemented
939#481—611no—
940#481—611no—
941#481C2×D6111yescharacteristic, complemented
942#481C2×D6111yescharacteristic, complemented
943#480—611no—
944#480—611no—
945#480—611no—
946#480C2×D6111yescharacteristic
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#479—611no—
953#479—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#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478—611no—
970#478C2×D6111yescharacteristic, complemented
971#476—611no—
972#476C2×D6111yescharacteristic, complemented
973#475—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#470—611no—
978#469—611no—
979#469—611no—
980#469C2×D6111yescharacteristic, complemented
981#468—611no—
982#468—611no—
983#468—611no—
984#468—611no—
985#467—611no—
986#466C2×D6111yescharacteristic
987#465—611no—
988#465—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#463—611no—
993#463—611no—
994#463—611no—
995#463—611no—
996#463—611no—
997#460—611no—
998#459—611no—
999#452—611no—
1000#450—611no—
1001#450—611no—
1002#449—611no—
1003#447—611no—
1004#447—611no—
1005#446—611no—
1006#446—611no—
1007#442—611no—
1008#442—611no—
1009#442C2×D6111yescharacteristic, complemented
1010#441—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×D8—611no—
1018C4×D8—611no—
1019#436—611no—
1020#436—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#435C2×D6111yescharacteristic, complemented
1025#432—611no—
1026#432—611no—
1027#431—611no—
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#428C2×D6111yescharacteristic, complemented
1032C2×#107—611no—
1033C2×#106C2×D6111yescharacteristic, complemented
1034#423—611no—
1035#423—611no—
1036C2×C4⋊C8—611no—
1037#418—611no—
1038#418—611no—
1039#417—611no—
1040#417—611no—
1041C2×#102—611no—
1042C2×#102—611no—
1043C61#6211911yescharacteristic, complemented, Sylow
1044C2×#41—21no—
1045C2×#41—611no—
1046C2×#41—611no—
1047C2×#41—1221no—
1048C22×D4—611no—
1049C22×D4—611no—
1050C22×D4—1221no—
1051C23×C4—1221no—
1052C23×C4—1221no—
1053C2×Q16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16—611no—
1057C2×SD16—611no—
1058C2×D8—611no—
1059C2×D8—611no—
1060C2×D8C22×D6111yescharacteristic
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16—611no—
1064C2×M16C22×D6111yescharacteristic
1065C22×C8—611no—
1066C22×C8C22×D6111yescharacteristic
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—1221no—
1070C4⋊Q8C22×D6111yescharacteristic
1071#127—611no—
1072#126—21no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—611no—
1091#125—1221no—
1092#125—1221no—
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#125C22×D6111yescharacteristic
1102#124—611no—
1103#124—611no—
1104#124—611no—
1105#124—1221no—
1106#124—1221no—
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124C22⋊Q8—21no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—611no—
1129C22⋊Q8—611no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142#121—21no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—1221no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121C22×D6111yescharacteristic
1154#121C22×D6111yescharacteristic
1155#121C22×D6111yescharacteristic
1156#121C22×D6111yescharacteristic
1157#120—1221no—
1158#120—1221no—
1159#120—1221no—
1160#120—1221no—
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×D4—21no—
1172C4×D4—611no—
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—611no—
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×D4—1221no—
1203C4×D4—1221no—
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
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#117C22×D6111yescharacteristic
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—1221no—
1225C2×C4⋊C4—1221no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4C22×D6111yescharacteristic
1231C2×C4⋊C4C22×D6111yescharacteristic
1232C2×C4⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C22⋊C4—1221no—
1236C2×C22⋊C4—1221no—
1237C2×C42—611no—
1238C2×C42—611no—
1239C2×C42—611no—
1240C2×C42—1221no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107—611no—
1250#107C22×D6111yescharacteristic
1251#107C22×D6111yescharacteristic
1252#107C22×D6111yescharacteristic
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
1263#106C22×D6111yescharacteristic
1264#106C22×D6111yescharacteristic
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8—611no—
1273C4⋊C8—611no—
1274C4⋊C8C22×D6111yescharacteristic
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#103—611no—
1284#103—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#102—611no—
1300#102—611no—
1301#102C22×D6111yescharacteristic
1302#102C22×D6111yescharacteristic
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305#102C22×D6111yescharacteristic
1306#102C22×D6111yescharacteristic
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8C22×D6111yescharacteristic
1312C22⋊C8C22×D6111yescharacteristic
1313#97—611no—
1314#97—611no—
1315#97—611no—
1316#97C22×D6111yescharacteristic
1317C4×C8—611no—
1318C4×C8—611no—
1319C24—1221no—
1320C24—1221no—
1321#41—44no—
1322#41—1222no—
1323#41—4882no—
1324#41—2441no—
1325#41—2442no—
1326C2×Q8—21no—
1327C2×Q8—611no—
1328C2×Q8—611no—
1329C2×Q8—611no—
1330C2×Q8—1221no—
1331C2×Q8—1221no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—611no—
1337C2×D4—611no—
1338C2×D4—611no—
1339C2×D4—611no—
1340C2×D4—1222no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1222no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—2441no—
1351C2×D4—2441no—
1352C2×D4—2444no—
1353C2×D4D4×D6111yescharacteristic
1354C2×D4C23×D6111yescharacteristic
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
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—4882no—
1382C22×C4—4882no—
1383C22×C4C23×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385Q16—2441no—
1386SD16—1222no—
1387SD16—2441no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—41no—
1391D8—1222no—
1392D8—2441no—
1393M16—41no—
1394M16—2441no—
1395M16—2441no—
1396M16—2441no—
1397C2×C8—41no—
1398C2×C8—611no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—2441no—
1403C2×C8C23×D6111yescharacteristic
1404C2×C8C23×D6111yescharacteristic
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
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⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4D4×D6111yescharacteristic
1454C4⋊C4C23×D6111yescharacteristic
1455C4⋊C4C23×D6111yescharacteristic
1456C4⋊C4C23×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C4⋊C4C23×D6111yescharacteristic
1459C4⋊C4C23×D6111yescharacteristic
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⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4D4×D6111yescharacteristic
1497C22⋊C4D4×D6111yescharacteristic
1498C42—21no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—611no—
1506C42—611no—
1507C42—611no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42—1221no—
1514C42—1221no—
1515C42C23×D6111yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—611no—
1519C23—1221no—
1520C23—1221no—
1521C23—4881no—
1522C23—4881no—
1523C23—2442no—
1524C23—2442no—
1525C23—2442no—
1526C23—2442no—
1527C23C2×D4×D6111yescharacteristic
1528C23C2×D4×D6111yescharacteristic
1529Q8—42no—
1530Q8—1221no—
1531Q8—1221no—
1532Q8—1221no—
1533Q8—1221no—
1534Q8—4881no—
1535Q8—4881no—
1536Q8—2441no—
1537D4—22no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—42no—
1543D4—42no—
1544D4—42no—
1545D4—81no—
1546D4—612no—
1547D4—1222no—
1548D4—1221no—
1549D4—1221no—
1550D4—1221no—
1551D4—4881no—
1552D4—4881no—
1553D4—4881no—
1554D4—2442no—
1555D4—2442no—
1556D4—2441no—
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—42no—
1572C2×C4—42no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—611no—
1581C2×C4—611no—
1582C2×C4—1222no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—4881no—
1598C2×C4—4881no—
1599C2×C4—2441no—
1600C2×C4—2441no—
1601C2×C4—2442no—
1602C2×C4—2442no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2441no—
1606C2×C4—2441no—
1607C2×C4—2441no—
1608C2×C4—2442no—
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C2×D4×D6111yescharacteristic
1613C2×C4C24×D6111yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C8—1221no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—1221no—
1634C22—1222no—
1635C22—1221no—
1636C22—1221no—
1637C22—4884no—
1638C22—4884no—
1639C22—2441no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22#1684055812yes—
1645C22C22×D4×D6111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—1221no—
1657C4—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—1221no—
1662C4—1221no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C42−1+4×D6111yescharacteristic
1670C4#1684059811yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—81no—
1674C2—81no—
1675C2—4881no—
1676C2—2441no—
1677C2—2442no—
1678C2#2145949311yescharacteristic
1679C2C2×#1684055811yescharacteristic
1680C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3345C2
socleC22×C61C23×D4
hypercenter#3345D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #21459788C2semidirect
2. #21459426C2semidirect
3. #21458776C2semidirect
4. #21458759C2semidirect
5. #21458594C2semidirect
6. #21458577C2semidirect
7. #21458418C2semidirect
8. #21458375C2semidirect
9. #21458304C2semidirect
10. #21458302C2semidirect
11. #21458270C2semidirect
12. #21458038C2semidirect
13. #21458015C2semidirect
14. #21457966C2semidirect
15. #21457902C2semidirect
16. #21457838C2semidirect
17. #21457774C2semidirect
18. #21457219C2semidirect
19. #21457174C2semidirect
20. #21457165C2semidirect
21. #21457062C2semidirect
22. #21457008C2semidirect
23. #21456984C2semidirect
24. #21455955C2semidirect
25. #21455923C2semidirect
26. #21455863C2semidirect
27. #21455640C2semidirect
28. #21455617C2semidirect
29. C2×#16840061C2semidirect
30. #21454931C2semidirect
31. C61×#3345C2semidirect
33. #16840487C22semidirect
34. #16840469C22semidirect
35. #16840469C22semidirect
39. #16840464C22semidirect
46. #16840447C22semidirect
57. #16840317C22semidirect
61. #16840294C22semidirect
63. #16840293C22semidirect
64. #16840293C22semidirect
65. C2×#14519768C22semidirect
66. C2×#14519768C22semidirect
75. #16840172C22semidirect
76. #16840169C22semidirect
77. #16840169C22semidirect
78. #16840163C22semidirect
79. #16840163C22semidirect
82. #16840124C22semidirect
83. #16840122C22semidirect
84. #16840115C22semidirect
85. #16840115C22semidirect
86. #16840106C22semidirect
87. #16840106C22semidirect
88. #16840103C22semidirect
89. #16840098C22semidirect
90. #16840097C22semidirect
91. #16840094C22semidirect
92. #16840092C22semidirect
95. #16840080C22semidirect
97. #16840076C22semidirect
98. #16840074C22semidirect
99. #16840073C22semidirect
100. #16840072C22semidirect
101. #16840072C22semidirect
102. #16840068C22semidirect
103. #16840068C22semidirect
104. #16840068C22semidirect
105. #16840068C22semidirect
106. #16840066C22semidirect
114. #16840061C22semidirect
115. #16840061C22semidirect
116. #16840061C22semidirect
117. #16840061C22semidirect
118. #16840061C22semidirect
119. #16840060C22semidirect
120. #16840060C22semidirect
121. #16840060C22semidirect
122. #16840060C22semidirect
124. #16840046C22semidirect
126. #16840042C22semidirect
127. #16840040C22semidirect
128. #16840021C22semidirect
130. #16840013C22semidirect
132. #16840008C22semidirect
133. #16840007C22semidirect
134. #16840006C22semidirect
135. #16840003C22semidirect
137. #16839989C22semidirect
138. #16839985C22semidirect
139. #16839983C22semidirect
140. #16839983C22semidirect
141. #16839977C22semidirect
143. #16839976C22semidirect
144. #16839975C22semidirect
145. #16839975C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
158. #16839868C22semidirect
160. #16839862C22semidirect
162. #16839859C22semidirect
164. #16839849C22semidirect
166. #16839842C22semidirect
167. #16839838C22semidirect
168. #16839837C22semidirect
169. #16839834C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839805C22semidirect
176. #16839801C22semidirect
177. #16839801C22semidirect
178. C2×#14519710C22semidirect
179. #16839785C22semidirect
180. #16839784C22semidirect
181. C2×#14519706C22semidirect
189. C61×#547C22semidirect
190. C61×#501C22semidirect
191. C61×#482C22semidirect
192. C61×#481C22semidirect
193. C61×#481C22semidirect
195. C61×#478C22semidirect
196. C61×#476C22semidirect
197. C61×#469C22semidirect
199. C61×#442C22semidirect
200. C61×#435C22semidirect
201. C61×#428C22semidirect
202. C2×#106×C61C22semidirect
841. #3345D61semidirect
891. #547C2×D61semidirect
920. #501C2×D61semidirect
938. #482C2×D61semidirect
941. #481C2×D61semidirect
942. #481C2×D61semidirect
970. #478C2×D61semidirect
972. #476C2×D61semidirect
980. #469C2×D61semidirect
1009. #442C2×D61semidirect
1024. #435C2×D61semidirect
1031. #428C2×D61semidirect
1033. C2×#106C2×D61semidirect
1043. C61#62119semidirect

Maximal subgroups

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

subgroupindex
#214597882
#214594262
#214587762
#214587592
#214585942
#214585772
#214584182
#214583752
#214583042
#214583022
#214582702
#214580382
#214580152
#214579662
#214579022
#214578382
#214577742
#214572192
#214571742
#214571652
#214570622
#214570082
#214569842
#214559552
#214559232
#214558632
#214556402
#214556172
C2×#168400612
#214549312
C61×#33452
#6211961