Finite Group Databasebeta

← #30575986

Subgroups — #30575986

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#21459791C211yesmaximal, characteristic, complemented
2#21459427C211yesmaximal, characteristic, complemented
3#21458774C211yesmaximal, characteristic, complemented
4#21458763C211yesmaximal, characteristic, complemented
5#21458582C211yesmaximal, characteristic, complemented
6#21458567C211yesmaximal, characteristic, complemented
7#21458425C211yesmaximal, characteristic, complemented
8#21458383C211yesmaximal, characteristic, complemented
9#21458307C211yesmaximal, characteristic, complemented
10#21458303C211yesmaximal, characteristic, complemented
11#21458282C211yesmaximal, characteristic, complemented
12#21458273C211yesmaximal, characteristic, complemented
13#21458038C211yesmaximal, characteristic, complemented
14#21458023C211yesmaximal, characteristic, complemented
15#21457959C211yesmaximal, characteristic, complemented
16#21457903C211yesmaximal, characteristic, complemented
17#21457839C211yesmaximal, characteristic, complemented
18#21457783C211yesmaximal, characteristic, complemented
19#21457219C211yesmaximal, characteristic, complemented
20#21457175C211yesmaximal, characteristic, complemented
21#21457170C211yesmaximal, characteristic, complemented
22#21457058C211yesmaximal, characteristic, complemented
23#21456985C211yesmaximal, characteristic, complemented
24#21455962C211yesmaximal, characteristic, complemented
25#21455930C211yesmaximal, characteristic, complemented
26#21455871C211yesmaximal, characteristic, complemented
27#21455637C211yesmaximal, characteristic, complemented
28#21455614C211yesmaximal, characteristic, complemented
29#478×D61C211yesmaximal, characteristic, complemented
30#21454938C211yesmaximal, characteristic, complemented
31C61×#3234C211yesmaximal, characteristic, complemented
32#16840498C2211yescharacteristic
33#16840489C2211yescharacteristic, complemented
34#16840473C2211yescharacteristic
35#16840473C2211yescharacteristic
36#16840468C2211yescharacteristic, complemented
37#16840467C2211yescharacteristic, complemented
38#16840465C2211yescharacteristic
39#16840460C2211yescharacteristic, complemented
40#16840459—21no—
41#16840459C2211yescharacteristic
42#16840459C2211yescharacteristic
43#16840450C2211yescharacteristic
44#16840447—21no—
45#16840447C2211yescharacteristic, complemented
46#16840444—21no—
47#16840444—21no—
48#16840442—21no—
49#16840442—21no—
50#16840413—21no—
51#16840413C2211yescharacteristic, complemented
52#16840409—21no—
53#16840409C2211yescharacteristic
54#16840409C2211yescharacteristic
55#16840397C2211yescharacteristic
56#16840371—21no—
57#16840360—21no—
58#16840359—21no—
59#16840318C2211yescharacteristic, complemented
60#16840297C2211yescharacteristic, complemented
61#16840297C2211yescharacteristic, complemented
62#16840296C2211yescharacteristic, complemented
63#16840294—21no—
64#16840294C2211yescharacteristic
65#16840294C2211yescharacteristic
66#125×D61C2211yescharacteristic, complemented
67#16840269—21no—
68#16840269—21no—
69#16840243—21no—
70C4×#11758222C2211yescharacteristic
71C4×#11758222C2211yescharacteristic
72C4×D4×D61—21no—
73C4×D4×D61C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840170C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840163C2211yescharacteristic, complemented
78#16840162C2211yescharacteristic, complemented
79#16840120C2211yescharacteristic, complemented
80#16840120C2211yescharacteristic, complemented
81#16840115C2211yescharacteristic, complemented
82#16840115C2211yescharacteristic, complemented
83#16840106C2211yescharacteristic, complemented
84#16840105C2211yescharacteristic, complemented
85#16840104C2211yescharacteristic, complemented
86#16840099C2211yescharacteristic, complemented
87#16840099C2211yescharacteristic, complemented
88#16840094C2211yescharacteristic, complemented
89#16840094C2211yescharacteristic, complemented
90#16840087C2211yescharacteristic, complemented
91#16840085C2211yescharacteristic
92#16840084C2211yescharacteristic
93#16840082C2211yescharacteristic, complemented
94#16840079C2211yescharacteristic
95#16840077C2211yescharacteristic, complemented
96#16840074C2211yescharacteristic
97#16840072C2211yescharacteristic, complemented
98#16840070C2211yescharacteristic, complemented
99#16840068C2211yescharacteristic, complemented
100#16840066C2211yescharacteristic, complemented
101#16840066C2211yescharacteristic, complemented
102#16840066C2211yescharacteristic, complemented
103#16840066C2211yescharacteristic, complemented
104#16840065C2211yescharacteristic
105#16840065C2211yescharacteristic, complemented
106#16840064C2211yescharacteristic, complemented
107#16840063C2211yescharacteristic
108#16840062C2211yescharacteristic, complemented
109#16840062C2211yescharacteristic, complemented
110#16840061C2211yescharacteristic
111#16840061C2211yescharacteristic, complemented
112#16840060C2211yescharacteristic, complemented
113#16840059C2211yescharacteristic
114#16840059C2211yescharacteristic
115#16840059C2211yescharacteristic
116#16840059C2211yescharacteristic
117#16840051C2211yescharacteristic
118#16840050C2211yescharacteristic, complemented
119#16840044C2211yescharacteristic, complemented
120#16840041C2211yescharacteristic
121#16840040C2211yescharacteristic, complemented
122#16840039C2211yescharacteristic, complemented
123#16840021C2211yescharacteristic, complemented
124#16840014C2211yescharacteristic
125#16840013C2211yescharacteristic, complemented
126#16840013C2211yescharacteristic, complemented
127#16840009C2211yescharacteristic, complemented
128#16840007C2211yescharacteristic
129#16840006C2211yescharacteristic, complemented
130#16840006C2211yescharacteristic, complemented
131#16840004C2211yescharacteristic, complemented
132#16839997C2211yescharacteristic
133#16839992C2211yescharacteristic, complemented
134#16839990C2211yescharacteristic
135#16839985C2211yescharacteristic, complemented
136#16839983C2211yescharacteristic, complemented
137#16839983C2211yescharacteristic, complemented
138#16839978C2211yescharacteristic
139#16839977C2211yescharacteristic, complemented
140#16839977C2211yescharacteristic, complemented
141#16839976C2211yescharacteristic, complemented
142#16839976C2211yescharacteristic, complemented
143#16839959C2211yescharacteristic
144#16839954C2211yescharacteristic
145#16839926C2211yescharacteristic
146#16839914C2211yescharacteristic
147#16839914C2211yescharacteristic
148#16839909C2211yescharacteristic
149#16839897C2211yescharacteristic
150#16839897C2211yescharacteristic
151#16839890C2211yescharacteristic, complemented
152#16839890C2211yescharacteristic, complemented
153#16839875C2211yescharacteristic
154#16839873C2211yescharacteristic
155#16839871C2211yescharacteristic, complemented
156#16839870C2211yescharacteristic, complemented
157#16839864C2211yescharacteristic
158#16839864C2211yescharacteristic, complemented
159#16839861C2211yescharacteristic
160#16839859C2211yescharacteristic, complemented
161#16839853C2211yescharacteristic, complemented
162#16839849C2211yescharacteristic
163#16839844C2211yescharacteristic
164#16839842C2211yescharacteristic, complemented
165#16839837C2211yescharacteristic, complemented
166#16839837C2211yescharacteristic, complemented
167#16839836C2211yescharacteristic, complemented
168#16839836C2211yescharacteristic, complemented
169#16839835C2211yescharacteristic
170#16839835C2211yescharacteristic
171#16839818C2211yescharacteristic, complemented
172#16839814C2211yescharacteristic, complemented
173#16839803C2211yescharacteristic, complemented
174#16839802C2211yescharacteristic, complemented
175#16839802C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic, complemented
177#107×D61C2211yescharacteristic, complemented
178#106×D61C2211yescharacteristic, complemented
179#16839786C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839761C2211yescharacteristic
185#16839761C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#532C2211yescharacteristic
189C2×#125×C61C2211yescharacteristic, complemented
190C61×#501C2211yescharacteristic, complemented
191C61×#501C2211yescharacteristic, complemented
192C61×#490C2211yescharacteristic
193C61×#490C2211yescharacteristic
194C61×#481C2211yescharacteristic, complemented
195C61×#481C2211yescharacteristic, complemented
196C61×#480C2211yescharacteristic, complemented
197C61×#480C2211yescharacteristic, complemented
198C61×#478C2211yescharacteristic, complemented
199C61×#478C2211yescharacteristic, complemented
200C61×#478C2211yescharacteristic, complemented
201C61×#478C2211yescharacteristic, complemented
202C61×#432C2211yescharacteristic, complemented
203C2×#11758222—21no—
204C2×#11758222D411yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×D4×D61—21no—
207C2×D4×D61C2311yescharacteristic
208C2×D4×D61C2311yescharacteristic
209C22×C4×D61—21no—
210C22×C4×D61—21no—
211C2×Dic244C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×D488C2311yescharacteristic
217C2×#11758199C2311yescharacteristic
218C2×#11758199C2311yescharacteristic
219C2×#11758194C2311yescharacteristic
220C2×#11758194C2311yescharacteristic
221C2×#11758189C2311yescharacteristic
222C2×#11758189C2311yescharacteristic
223C2×C8×D61C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225#14519776—21no—
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519772—21no—
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519771—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519769C2311yescharacteristic
240#14519768—21no—
241#14519768—21no—
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519767—21no—
247#14519767—21no—
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519765C2311yescharacteristic
253#14519764—21no—
254#14519764C2311yescharacteristic
255#14519764C2311yescharacteristic
256#14519762—21no—
257#14519762—21no—
258#14519762—21no—
259#14519762—21no—
260#14519762—21no—
261#14519762—21no—
262#14519760—21no—
263#14519760—21no—
264#14519760—21no—
265#14519759—21no—
266#14519759—21no—
267#14519759—21no—
268#14519759—21no—
269#14519758—21no—
270#14519758—21no—
271#14519758—21no—
272#14519758—21no—
273#14519757—21no—
274#14519757—21no—
275#14519757C2311yescharacteristic
276#14519757C2311yescharacteristic
277#14519757C2311yescharacteristic
278#14519757C2311yescharacteristic
279#14519756—21no—
280#14519756C2311yescharacteristic
281#14519755—21no—
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519753—21no—
288#14519753—21no—
289#14519753—21no—
290#14519753—21no—
291#14519752—21no—
292#14519752C2311yescharacteristic
293#14519752C2311yescharacteristic
294#14519751—21no—
295#14519751C2311yescharacteristic
296#14519748—21no—
297#14519748—21no—
298#14519748—21no—
299#14519748—21no—
300#14519748—21no—
301#14519748C2311yescharacteristic
302#14519748C2311yescharacteristic
303#14519745—21no—
304#14519745—21no—
305#14519745—21no—
306#14519745—21no—
307C4×Dic122D411yescharacteristic
308C4×Dic122C2311yescharacteristic
309C4×Dic122C2311yescharacteristic
310C4×Dic122C2311yescharacteristic
311C4×Dic122C2311yescharacteristic
312#14519742—21no—
313#14519742—21no—
314#14519742—21no—
315#14519742C2311yescharacteristic
316#14519742C2311yescharacteristic
317C4×D244D411yescharacteristic
318C4×D244C2311yescharacteristic
319C4×D244C2311yescharacteristic
320C4×D244C2311yescharacteristic
321C4×D244C2311yescharacteristic
322D4×Dic61—21no—
323D4×Dic61C2311yescharacteristic
324D4×Dic61C2311yescharacteristic
325#14519739—21no—
326#14519739—21no—
327#14519739—21no—
328#14519739—21no—
329#14519739C2311yescharacteristic
330#14519739C2311yescharacteristic
331#14519739C2311yescharacteristic
332#14519739C2311yescharacteristic
333C4×C22⋊D61—21no—
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61—21no—
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342C4×C22⋊D61D411yescharacteristic
343C4×C22⋊D61D411yescharacteristic
344C4×C22⋊D61C2311yescharacteristic
345C4×C22⋊D61C2311yescharacteristic
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519737—21no—
350#14519736—21no—
351#14519736—21no—
352#14519736—21no—
353#14519736D411yescharacteristic
354#14519736C2311yescharacteristic
355#14519735—21no—
356#14519735—21no—
357#14519735—21no—
358#14519735C2311yescharacteristic
359#14519735C2311yescharacteristic
360#14519734—21no—
361#14519734—21no—
362#14519734D411yescharacteristic
363#14519734D411yescharacteristic
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C4⋊C4×D61C2311yescharacteristic
371C4⋊C4×D61C2311yescharacteristic
372C22⋊C4×D61—21no—
373C22⋊C4×D61—21no—
374C22⋊C4×D61—21no—
375C22⋊C4×D61—21no—
376C42×D61—21no—
377C42×D61C2311yescharacteristic
378C42×D61C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519711C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396C4⋊#92418C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61—21no—
436C4⋊Q8×C61C2311yescharacteristic
437#127×C61C2311yescharacteristic
438#125×C61—21no—
439#125×C61—21no—
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444#124×C61—21no—
445#121×C61—21no—
446#121×C61C2311yescharacteristic
447#121×C61C2311yescharacteristic
448C4×D4×C61—21no—
449C4×D4×C61C2311yescharacteristic
450C4×D4×C61C2311yescharacteristic
451C2×C4⋊C4×C61—21no—
452C2×C4⋊C4×C61—21no—
453C2×C4⋊C4×C61C2311yescharacteristic
454C2×C4⋊C4×C61C2311yescharacteristic
455C2×C42×C61C2311yescharacteristic
456#107×C61C2311yescharacteristic
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#106×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#102×C61C2311yescharacteristic
467#102×C61C2311yescharacteristic
468#102×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480#41×C61—82no—
481C2×Q8×C61—21no—
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61C2411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61C2×D411yescharacteristic
493C22×C4×C61C2×D411yescharacteristic
494C22×C4×C61C2411yescharacteristic
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—
505D4×D61—22no—
506D4×D61—22no—
507D4×D61—41no—
508D4×D61—41no—
509D4×D61—44no—
510#11758222—22no—
511#11758222—41no—
512#11758222—42no—
513#11758222—44no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244C2×D411yescharacteristic
517C2×D244C2411yescharacteristic
518C2×D244C2411yescharacteristic
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—82no—
532C2×C4×D61—82no—
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122C2×D411yescharacteristic
542C2×Dic122C2411yescharacteristic
543C2×Dic122C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
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×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C42×C61C2×D411yescharacteristic
570C42×C61C2×D411yescharacteristic
571C42×C61C2411yescharacteristic
572C42×C61C2411yescharacteristic
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
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⋊Dic61C2×D411yescharacteristic
584C22⋊Dic61C2×D411yescharacteristic
585#11758200—41no—
586#11758200—41no—
587#11758199—41no—
588#11758199—41no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
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#11758198—21no—
607#11758198C2×D411yescharacteristic
608#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610#11758198C2×D411yescharacteristic
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⋊Dic61C2×D411yescharacteristic
620C4⋊Dic61C2×D411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
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×Dic61C2411yescharacteristic
660C4×Dic61C2411yescharacteristic
661#11758194—41no—
662#11758194—41no—
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667Dic244—41no—
668D488—22no—
669#11758190—22no—
670#11758190—41no—
671#11758189—41no—
672#11758189—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61C22×D411yescharacteristic
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—42no—
681C22×D61—42no—
682C22×D61—42no—
683C22×D61—42no—
684C22×D61—81no—
685C22×D61—81no—
686C22×D61C22×D411yescharacteristic
687C22×D61C22×D411yescharacteristic
688Q8×C61—81no—
689D4×C61—21no—
690D4×C61—21no—
691D4×C61—21no—
692D4×C61—21no—
693D4×C61—42no—
694D4×C61—81no—
695D4×C61—81no—
696D4×C61—81no—
697C2×C4×C61—21no—
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—41no—
706C2×C4×C61—41no—
707C2×C4×C61—42no—
708C2×C4×C61—42no—
709C2×C4×C61—42no—
710C2×C4×C61—81no—
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C2511yescharacteristic
717C22⋊D61—22no—
718C22⋊D61—41no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—42no—
722C22⋊D61—42no—
723C22⋊D61—42no—
724C22⋊D61—42no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—81no—
732C2×Dic61—81no—
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739D244—22no—
740D244—21no—
741D244—21no—
742D244—21no—
743D244—42no—
744D244—81no—
745D2442−1+412yes—
746C4×D61—22no—
747C4×D61—21no—
748C4×D61—21no—
749C4×D61—21no—
750C4×D61—21no—
751C4×D61—41no—
752C4×D61—41no—
753C4×D61—41no—
754C4×D61—42no—
755C4×D61—42no—
756C4×D61—42no—
757C4×D61—42no—
758C4×D61—42no—
759C4×D61—81no—
760C4×D61—81no—
761C4×D61—81no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766Dic122—21no—
767Dic122—21no—
768Dic122—21no—
769Dic122—21no—
770Dic122—41no—
771Dic122—42no—
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—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61C23×D411yescharacteristic
792C2×D61—21no—
793C2×D61—21no—
794C2×D61—21no—
795C2×D61—21no—
796C2×D61—22no—
797C2×D61—21no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—84no—
804C2×D61—84no—
805C2×D61#57512yes—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—21no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61—41no—
817C4×C61C2×2−1+411yescharacteristic
818C4×C61#58511yescharacteristic
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#3345—611no—
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#3234D6111yescharacteristic, complemented
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—41no—
863C2×C61—81no—
864C2×C61—81no—
865C2×C61#348911yescharacteristic
866C2×C61C2×#57511yescharacteristic
867C2×C61#358511yescharacteristic
868D61—22no—
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—611no—
882#553—1221no—
883#552—611no—
884#552—611no—
885#552—1221no—
886#552—1221no—
887#552—1221no—
888#551—1221no—
889#551—1221no—
890#547—611no—
891#547—1221no—
892#546—611no—
893#546—611no—
894#546—1221no—
895D42—611no—
896#541—1221no—
897#539—1221no—
898#539—1221no—
899#533—611no—
900#532C2×D6111yescharacteristic
901#529—611no—
902#529—611no—
903#529—611no—
904#529—611no—
905#529—611no—
906#529—1221no—
907C2×#125—611no—
908C2×#125C2×D6111yescharacteristic, complemented
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#501C2×D6111yescharacteristic, complemented
920#501C2×D6111yescharacteristic, complemented
921#499—611no—
922#499—611no—
923#490C2×D6111yescharacteristic
924#490C2×D6111yescharacteristic
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#482—611no—
939#481—611no—
940#481—611no—
941#481C2×D6111yescharacteristic, complemented
942#481C2×D6111yescharacteristic, complemented
943#480—611no—
944#480—611no—
945#480C2×D6111yescharacteristic, complemented
946#480C2×D6111yescharacteristic, complemented
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#478C2×D6111yescharacteristic, complemented
968#478C2×D6111yescharacteristic, complemented
969#478C2×D6111yescharacteristic, complemented
970#478C2×D6111yescharacteristic, complemented
971#476—611no—
972#476—611no—
973#475—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#470—611no—
978#469—611no—
979#469—611no—
980#469—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#468—611no—
985#467—611no—
986#466—611no—
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#442—611no—
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#435—611no—
1025#432—611no—
1026#432C2×D6111yescharacteristic, complemented
1027#431—611no—
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#428—611no—
1032C2×#107—611no—
1033C2×#106—611no—
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×D8—611no—
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16—611no—
1064C2×M16—611no—
1065C22×C8—611no—
1066C22×C8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—1221no—
1070C4⋊Q8C22×D6111yescharacteristic
1071#127C22×D6111yescharacteristic
1072#126—1221no—
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—21no—
1084#125—21no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125C22×D6111yescharacteristic
1099#125C22×D6111yescharacteristic
1100#125C22×D6111yescharacteristic
1101#125C22×D6111yescharacteristic
1102#124—21no—
1103#124—611no—
1104#124—611no—
1105#124—611no—
1106#124—1221no—
1107#123—1221no—
1108#123—1221no—
1109#123—1221no—
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—611no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—611no—
1129C22⋊Q8—1221no—
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—611no—
1147#121—611no—
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#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—611no—
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×D4—1221no—
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—21no—
1223C2×C4⋊C4—611no—
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⋊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—1221no—
1240C2×C42C22×D6111yescharacteristic
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#107C22×D6111yescharacteristic
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#106—611no—
1260#106—611no—
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⋊C8C22×D6111yescharacteristic
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#102C22×D6111yescharacteristic
1300#102C22×D6111yescharacteristic
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#97C22×D6111yescharacteristic
1316#97C22×D6111yescharacteristic
1317C4×C8—611no—
1318C4×C8—611no—
1319C24—1221no—
1320C24—1221no—
1321#41—82no—
1322#41—1222no—
1323#41—2441no—
1324#41—2442no—
1325#41—2444no—
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—611no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1222no—
1346C2×D4—1222no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—2441no—
1352C2×D4—2441no—
1353C2×D4—2444no—
1354C2×D4C23×D6111yescharacteristic
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—1221no—
1367C22×C4—1221no—
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—4882no—
1381C22×C4—4882no—
1382C22×C4D4×D6111yescharacteristic
1383C22×C4D4×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385Q16—2441no—
1386SD16—1222no—
1387SD16—2441no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—1222no—
1391D8—2441no—
1392D8—2441no—
1393M16—2441no—
1394M16—2441no—
1395M16—2441no—
1396M16—2441no—
1397C2×C8—611no—
1398C2×C8—611no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—2441no—
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—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
1424C4⋊C4—611no—
1425C4⋊C4—611no—
1426C4⋊C4—611no—
1427C4⋊C4—611no—
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⋊C4—1221no—
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—611no—
1465C22⋊C4—611no—
1466C22⋊C4—611no—
1467C22⋊C4—611no—
1468C22⋊C4—611no—
1469C22⋊C4—611no—
1470C22⋊C4—1221no—
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⋊C4—1221no—
1497C22⋊C4—1221no—
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—
1512C42D4×D6111yescharacteristic
1513C42D4×D6111yescharacteristic
1514C42C23×D6111yescharacteristic
1515C42C23×D6111yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—611no—
1519C23—611no—
1520C23—1221no—
1521C23—1221no—
1522C23—4881no—
1523C23—4881no—
1524C23—2442no—
1525C23—2442no—
1526C23—2442no—
1527C23—2442no—
1528C23C2×D4×D6111yescharacteristic
1529Q8—81no—
1530Q8—1221no—
1531Q8—1221no—
1532Q8—1221no—
1533Q8—1221no—
1534Q8—4881no—
1535Q8—2441no—
1536Q8—2442no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—42no—
1542D4—81no—
1543D4—81no—
1544D4—81no—
1545D4—612no—
1546D4—1222no—
1547D4—1222no—
1548D4—1221no—
1549D4—1221no—
1550D4—1221no—
1551D4—4881no—
1552D4—2442no—
1553D4—2441no—
1554D4—2442no—
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—41no—
1569C2×C4—41no—
1570C2×C4—42no—
1571C2×C4—42no—
1572C2×C4—42no—
1573C2×C4—81no—
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—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—4881no—
1600C2×C4—2441no—
1601C2×C4—2441no—
1602C2×C4—2441no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4—2442no—
1607C2×C4—2442no—
1608C2×C4C2×D4×D6111yescharacteristic
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—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—612no—
1632C22—1221no—
1633C22—1221no—
1634C22—1221no—
1635C22—1222no—
1636C22—1221no—
1637C22—1221no—
1638C22—4884no—
1639C22—4884no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22—2441no—
1645C22C22×D4×D6111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
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#1684059911yescharacteristic
1671C2—41no—
1672C2—81no—
1673C2—81no—
1674C2—1222no—
1675C2—4881no—
1676C2—2441no—
1677C2—2442no—
1678C2#2145949711yescharacteristic
1679C2#575×D6111yescharacteristic
1680C2#2146059511yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3234C2
socleC22×C61C23×D4
hypercenter#3234D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3234

Complements

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

NH ≅ G/Ntype
1. #21459791C2semidirect
2. #21459427C2semidirect
3. #21458774C2semidirect
4. #21458763C2semidirect
5. #21458582C2semidirect
6. #21458567C2semidirect
7. #21458425C2semidirect
8. #21458383C2semidirect
9. #21458307C2semidirect
10. #21458303C2semidirect
11. #21458282C2semidirect
12. #21458273C2semidirect
13. #21458038C2semidirect
14. #21458023C2semidirect
15. #21457959C2semidirect
16. #21457903C2semidirect
17. #21457839C2semidirect
18. #21457783C2semidirect
19. #21457219C2semidirect
20. #21457175C2semidirect
21. #21457170C2semidirect
22. #21457058C2semidirect
23. #21456985C2semidirect
24. #21455962C2semidirect
25. #21455930C2semidirect
26. #21455871C2semidirect
27. #21455637C2semidirect
28. #21455614C2semidirect
29. #478×D61C2semidirect
30. #21454938C2semidirect
31. C61×#3234C2semidirect
33. #16840489C22semidirect
36. #16840468C22semidirect
37. #16840467C22semidirect
39. #16840460C22semidirect
45. #16840447C22semidirect
51. #16840413C22semidirect
59. #16840318C22semidirect
60. #16840297C22semidirect
61. #16840297C22semidirect
62. #16840296C22semidirect
66. #125×D61C22semidirect
75. #16840170C22semidirect
76. #16840169C22semidirect
77. #16840163C22semidirect
78. #16840162C22semidirect
79. #16840120C22semidirect
80. #16840120C22semidirect
81. #16840115C22semidirect
82. #16840115C22semidirect
83. #16840106C22semidirect
84. #16840105C22semidirect
85. #16840104C22semidirect
86. #16840099C22semidirect
87. #16840099C22semidirect
88. #16840094C22semidirect
89. #16840094C22semidirect
90. #16840087C22semidirect
93. #16840082C22semidirect
95. #16840077C22semidirect
97. #16840072C22semidirect
98. #16840070C22semidirect
99. #16840068C22semidirect
100. #16840066C22semidirect
101. #16840066C22semidirect
102. #16840066C22semidirect
103. #16840066C22semidirect
105. #16840065C22semidirect
106. #16840064C22semidirect
108. #16840062C22semidirect
109. #16840062C22semidirect
111. #16840061C22semidirect
112. #16840060C22semidirect
118. #16840050C22semidirect
119. #16840044C22semidirect
121. #16840040C22semidirect
122. #16840039C22semidirect
123. #16840021C22semidirect
125. #16840013C22semidirect
126. #16840013C22semidirect
127. #16840009C22semidirect
129. #16840006C22semidirect
130. #16840006C22semidirect
131. #16840004C22semidirect
133. #16839992C22semidirect
135. #16839985C22semidirect
136. #16839983C22semidirect
137. #16839983C22semidirect
139. #16839977C22semidirect
140. #16839977C22semidirect
141. #16839976C22semidirect
142. #16839976C22semidirect
151. #16839890C22semidirect
152. #16839890C22semidirect
155. #16839871C22semidirect
156. #16839870C22semidirect
158. #16839864C22semidirect
160. #16839859C22semidirect
161. #16839853C22semidirect
164. #16839842C22semidirect
165. #16839837C22semidirect
166. #16839837C22semidirect
167. #16839836C22semidirect
168. #16839836C22semidirect
171. #16839818C22semidirect
172. #16839814C22semidirect
173. #16839803C22semidirect
174. #16839802C22semidirect
175. #16839802C22semidirect
176. #16839801C22semidirect
177. #107×D61C22semidirect
178. #106×D61C22semidirect
179. #16839786C22semidirect
180. #16839784C22semidirect
181. C4⋊C8×D61C22semidirect
189. C2×#125×C61C22semidirect
190. C61×#501C22semidirect
191. C61×#501C22semidirect
194. C61×#481C22semidirect
195. C61×#481C22semidirect
196. C61×#480C22semidirect
197. C61×#480C22semidirect
198. C61×#478C22semidirect
199. C61×#478C22semidirect
200. C61×#478C22semidirect
201. C61×#478C22semidirect
202. C61×#432C22semidirect
853. #3234D61semidirect
908. C2×#125C2×D61semidirect
919. #501C2×D61semidirect
920. #501C2×D61semidirect
941. #481C2×D61semidirect
942. #481C2×D61semidirect
945. #480C2×D61semidirect
946. #480C2×D61semidirect
967. #478C2×D61semidirect
968. #478C2×D61semidirect
969. #478C2×D61semidirect
970. #478C2×D61semidirect
1026. #432C2×D61semidirect
1043. C61#62119semidirect

Maximal subgroups

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

subgroupindex
#214597912
#214594272
#214587742
#214587632
#214585822
#214585672
#214584252
#214583832
#214583072
#214583032
#214582822
#214582732
#214580382
#214580232
#214579592
#214579032
#214578392
#214577832
#214572192
#214571752
#214571702
#214570582
#214569852
#214559622
#214559302
#214558712
#214556372
#214556142
#478×D612
#214549382
C61×#32342
#6211961