Finite Group Databasebeta

← #30576009

Subgroups — #30576009

Order 15616.

1708 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459792C211yesmaximal, characteristic, complemented
2#21459432C211yesmaximal, characteristic, complemented
3#21458783C211yesmaximal, characteristic, complemented
4#21458763C211yesmaximal, characteristic, complemented
5#21458660C211yesmaximal, characteristic, complemented
6#21458645C211yesmaximal, characteristic, complemented
7#21458387C211yesmaximal, characteristic, complemented
8#21458377C211yesmaximal, characteristic, complemented
9#21458292C211yesmaximal, characteristic, complemented
10#21458273C211yesmaximal, characteristic, complemented
11#21458258C211yesmaximal, characteristic, complemented
12#21458252C211yesmaximal, characteristic, complemented
13#21458085C211yesmaximal, characteristic, complemented
14#21458070C211yesmaximal, characteristic, complemented
15#21457993C211yesmaximal, characteristic, complemented
16#21457929C211yesmaximal, characteristic, complemented
17#21457873C211yesmaximal, characteristic, complemented
18#21457809C211yesmaximal, characteristic, complemented
19#21457215C211yesmaximal, characteristic, complemented
20#21457191C211yesmaximal, characteristic, complemented
21#21457170C211yesmaximal, characteristic, complemented
22#21457023C211yesmaximal, characteristic, complemented
23#21456985C211yesmaximal, characteristic, complemented
24#21455992C211yesmaximal, characteristic, complemented
25#21455933C211yesmaximal, characteristic, complemented
26#21455904C211yesmaximal, characteristic, complemented
27#21455636C211yesmaximal, characteristic, complemented
28#21455620C211yesmaximal, characteristic, complemented
29#479×D61C211yesmaximal, characteristic, complemented
30#21454938C211yesmaximal, characteristic, complemented
31C61×#3240C211yesmaximal, characteristic, complemented
32#16840489C2211yescharacteristic
33#16840487C2211yescharacteristic
34#16840481C2211yescharacteristic
35#16840479—21no—
36#16840473C2211yescharacteristic
37#16840473C2211yescharacteristic
38#16840456C2211yescharacteristic
39#16840456C2211yescharacteristic
40#16840454C2211yescharacteristic
41#16840453—21no—
42#16840453—21no—
43#16840451C2211yescharacteristic
44#16840451C2211yescharacteristic
45#16840450C2211yescharacteristic
46#16840449—21no—
47#16840448—21no—
48#16840446—21no—
49#16840425C2211yescharacteristic
50#16840420C2211yescharacteristic
51#16840418C2211yescharacteristic
52#16840415C2211yescharacteristic
53#16840414—21no—
54#16840412C2211yescharacteristic
55#16840410—21no—
56#16840370—21no—
57#16840358—21no—
58#16840358—21no—
59#16840316C2211yescharacteristic
60#16840315—21no—
61#16840297C2211yescharacteristic
62#16840297C2211yescharacteristic
63#16840296C2211yescharacteristic
64#16840294C2211yescharacteristic
65#16840292—21no—
66#16840290—21no—
67#125×D61C2211yescharacteristic
68#125×D61C2211yescharacteristic
69#16840244—21no—
70C4×#11758222C2211yescharacteristic
71C4×#11758224—21no—
72C4×#11758224C2211yescharacteristic
73C2×C4×Dic122C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840169C2211yescharacteristic
77#16840163C2211yescharacteristic
78#16840162C2211yescharacteristic
79#16840129C2211yescharacteristic
80#16840129C2211yescharacteristic
81#16840115C2211yescharacteristic
82#16840115C2211yescharacteristic
83#16840105C2211yescharacteristic
84#16840099C2211yescharacteristic
85#16840099C2211yescharacteristic
86#16840098C2211yescharacteristic
87#16840096C2211yescharacteristic
88#16840094C2211yescharacteristic
89#16840094C2211yescharacteristic
90#16840094C2211yescharacteristic
91#16840091C2211yescharacteristic
92#16840088C2211yescharacteristic
93#16840081C2211yescharacteristic
94#16840079C2211yescharacteristic
95#16840077C2211yescharacteristic
96#16840074C2211yescharacteristic
97#16840072C2211yescharacteristic
98#16840072C2211yescharacteristic
99#16840072C2211yescharacteristic
100#16840071C2211yescharacteristic
101#16840070C2211yescharacteristic
102#16840070C2211yescharacteristic
103#16840069C2211yescharacteristic
104#16840068C2211yescharacteristic
105#16840068C2211yescharacteristic
106#16840067C2211yescharacteristic
107#16840066C2211yescharacteristic
108#16840066C2211yescharacteristic
109#16840066C2211yescharacteristic
110#16840066C2211yescharacteristic
111#16840066C2211yescharacteristic
112#16840065C2211yescharacteristic
113#16840064C2211yescharacteristic
114#16840062C2211yescharacteristic
115#16840060C2211yescharacteristic
116#16840059C2211yescharacteristic
117#16840056C2211yescharacteristic
118#16840054C2211yescharacteristic
119#16840054C2211yescharacteristic
120#16840051C2211yescharacteristic
121#16840044C2211yescharacteristic
122#16840044C2211yescharacteristic
123#16840021C2211yescharacteristic
124#16840019C2211yescharacteristic
125#16840018C2211yescharacteristic
126#16840013C2211yescharacteristic
127#16840011C2211yescharacteristic
128#16840010C2211yescharacteristic
129#16840009C2211yescharacteristic
130#16840006C2211yescharacteristic
131#16840004C2211yescharacteristic
132#16839997C2211yescharacteristic
133#16839992C2211yescharacteristic
134#16839990C2211yescharacteristic
135#16839985C2211yescharacteristic
136#16839985C2211yescharacteristic
137#16839984C2211yescharacteristic
138#16839983C2211yescharacteristic
139#16839981C2211yescharacteristic
140#16839977C2211yescharacteristic
141#16839976C2211yescharacteristic
142#16839974C2211yescharacteristic
143#16839971C2211yescharacteristic
144#16839966C2211yescharacteristic
145#16839925C2211yescharacteristic
146#16839920C2211yescharacteristic
147#16839919C2211yescharacteristic
148#16839908C2211yescharacteristic
149#16839903C2211yescharacteristic
150#16839902C2211yescharacteristic
151#16839890C2211yescharacteristic
152#16839890C2211yescharacteristic
153#16839871C2211yescharacteristic
154#16839870C2211yescharacteristic
155#16839870C2211yescharacteristic
156#16839868C2211yescharacteristic
157#16839864C2211yescharacteristic
158#16839864C2211yescharacteristic
159#16839861C2211yescharacteristic
160#16839859C2211yescharacteristic
161#16839856C2211yescharacteristic
162#16839854C2211yescharacteristic
163#16839849C2211yescharacteristic
164#16839847C2211yescharacteristic
165#16839837C2211yescharacteristic
166#16839837C2211yescharacteristic
167#16839836C2211yescharacteristic
168#16839836C2211yescharacteristic
169#16839835C2211yescharacteristic
170#16839835C2211yescharacteristic
171#16839818C2211yescharacteristic
172#16839814C2211yescharacteristic
173#16839805C2211yescharacteristic
174#16839805C2211yescharacteristic
175#16839803C2211yescharacteristic
176#16839801C2211yescharacteristic
177#107×D61C2211yescharacteristic
178#106×D61C2211yescharacteristic
179#16839786C2211yescharacteristic
180#16839784C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839770C2211yescharacteristic
183#16839770C2211yescharacteristic
184#16839760C2211yescharacteristic
185#16839760C2211yescharacteristic
186#103×D61C2211yescharacteristic
187#103×D61C2211yescharacteristic
188C61×#533C2211yescharacteristic
189C61×#529C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#501C2211yescharacteristic
192C61×#489C2211yescharacteristic
193C61×#489C2211yescharacteristic
194C61×#485C2211yescharacteristic
195C61×#485C2211yescharacteristic
196C61×#482C2211yescharacteristic
197C61×#482C2211yescharacteristic
198C61×#479C2211yescharacteristic
199C61×#479C2211yescharacteristic
200C61×#478C2211yescharacteristic
201C61×#478C2211yescharacteristic
202C61×#432C2211yescharacteristic
203C2×#11758226—21no—
204C2×#11758222D411yescharacteristic
205C2×#11758224—21no—
206C2×#11758224C2311yescharacteristic
207C22×Dic122C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×Dic244C2311yescharacteristic
210C2×Dic244C2311yescharacteristic
211C2×#11758202C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758201C2311yescharacteristic
216C2×#11758199C2311yescharacteristic
217C2×#11758194C2311yescharacteristic
218C2×#11758194C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223#14519776—21no—
224#14519776—21no—
225#14519776C2311yescharacteristic
226#14519775—21no—
227#14519775C2311yescharacteristic
228#14519772—21no—
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519771—21no—
233#14519771—21no—
234#14519771—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519769—21no—
241#14519769—21no—
242#14519769C2311yescharacteristic
243#14519768—21no—
244#14519768—21no—
245#14519768—21no—
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519765C2311yescharacteristic
261#14519764C2311yescharacteristic
262#14519763—21no—
263#14519763—21no—
264#14519762—21no—
265#14519762—21no—
266#14519762—21no—
267#14519762—21no—
268#14519762—21no—
269#14519761—21no—
270#14519760—21no—
271#14519759—21no—
272#14519759—21no—
273#14519759—21no—
274#14519759—21no—
275#14519759—21no—
276#14519759—21no—
277#14519758—21no—
278#14519757—21no—
279#14519757C2311yescharacteristic
280#14519757C2311yescharacteristic
281#14519757C2311yescharacteristic
282#14519757C2311yescharacteristic
283#14519756C2311yescharacteristic
284#14519755—21no—
285#14519755—21no—
286#14519754—21no—
287#14519754—21no—
288#14519754—21no—
289#14519754—21no—
290#14519754—21no—
291#14519753—21no—
292#14519753—21no—
293#14519753—21no—
294#14519753—21no—
295#14519753—21no—
296#14519753C2311yescharacteristic
297#14519752C2311yescharacteristic
298#14519752C2311yescharacteristic
299#14519751C2311yescharacteristic
300#14519750—21no—
301#14519750—21no—
302#14519750—21no—
303#14519749—21no—
304#14519748C2311yescharacteristic
305Q8×Dic61—21no—
306Q8×Dic61C2311yescharacteristic
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122D411yescharacteristic
312C4×Dic122C2311yescharacteristic
313C4×Dic122C2311yescharacteristic
314C4×Dic122C2311yescharacteristic
315C4×Dic122C2311yescharacteristic
316C4×Dic122C2311yescharacteristic
317C4×Dic122C2311yescharacteristic
318#14519742—21no—
319#14519742—21no—
320#14519742C2311yescharacteristic
321#14519742C2311yescharacteristic
322#14519742C2311yescharacteristic
323#14519742C2311yescharacteristic
324C4×D244—21no—
325C4×D244—21no—
326C4×D244D411yescharacteristic
327C4×D244C2311yescharacteristic
328C4×D244C2311yescharacteristic
329D4×Dic61—21no—
330D4×Dic61C2311yescharacteristic
331#14519739—21no—
332#14519739—21no—
333#14519739—21no—
334#14519739C2311yescharacteristic
335#14519739C2311yescharacteristic
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61D411yescharacteristic
340C4×C22⋊D61D411yescharacteristic
341C4×C22⋊D61C2311yescharacteristic
342C4×C22⋊D61C2311yescharacteristic
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519736—21no—
347#14519736D411yescharacteristic
348#14519735—21no—
349#14519735—21no—
350#14519735—21no—
351#14519735C2311yescharacteristic
352#14519734—21no—
353#14519734—21no—
354#14519734—21no—
355#14519734—21no—
356#14519734D411yescharacteristic
357#14519734D411yescharacteristic
358#14519733—21no—
359#14519733—21no—
360#14519733—21no—
361C2×C4⋊Dic61C2311yescharacteristic
362C2×#11758196—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61C2311yescharacteristic
370C4⋊C4×D61C2311yescharacteristic
371C4⋊C4×D61C2311yescharacteristic
372C4⋊C4×D61C2311yescharacteristic
373C4⋊C4×D61C2311yescharacteristic
374C2×C4×Dic61—21no—
375C2×C4×Dic61—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#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C4⋊Q8×C61C2311yescharacteristic
436C4⋊Q8×C61C2311yescharacteristic
437#126×C61—21no—
438#125×C61C2311yescharacteristic
439#125×C61C2311yescharacteristic
440#125×C61C2311yescharacteristic
441#124×C61C2311yescharacteristic
442#123×C61—21no—
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61C2311yescharacteristic
446#121×C61C2311yescharacteristic
447C4×Q8×C61—21no—
448C4×Q8×C61—21no—
449C4×Q8×C61C2311yescharacteristic
450C4×D4×C61—21no—
451C4×D4×C61C2311yescharacteristic
452#117×C61—21no—
453#117×C61C2311yescharacteristic
454#117×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#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×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
478C2×Q8×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61C2411yescharacteristic
481C2×D4×C61—21no—
482C2×D4×C61C2411yescharacteristic
483C22×C4×C61—21no—
484C22×C4×C61C2×D411yescharacteristic
485C22×C4×C61C2×D411yescharacteristic
486C22×C4×C61C2411yescharacteristic
487C2×C22⋊D61—21no—
488C2×C22⋊D61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61C2×D411yescharacteristic
491C2×C22⋊D61C2×D411yescharacteristic
492C22×Dic61—21no—
493C22×Dic61—21no—
494C22×Dic61—21no—
495C22×Dic61—21no—
496#11758226—44no—
497Q8×D61—22no—
498Q8×D61—41no—
499#11758224—22no—
500#11758224—41no—
501#11758224—44no—
502#11758222—42no—
503C2×D244—21no—
504C2×D244—21no—
505C2×D244C2×D411yescharacteristic
506C2×D244C2411yescharacteristic
507C2×C4×D61—21no—
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61—21no—
514C2×C4×D61—21no—
515C2×C4×D61—21no—
516C2×C4×D61C2×D411yescharacteristic
517C2×C4×D61C2×D411yescharacteristic
518C2×C4×D61C2×D411yescharacteristic
519C2×C4×D61C2×D411yescharacteristic
520C2×C4×D61C2411yescharacteristic
521C2×C4×D61C2411yescharacteristic
522C2×Dic122—22no—
523C2×Dic122—21no—
524C2×Dic122—21no—
525C2×Dic122—21no—
526C2×Dic122—41no—
527C2×Dic122C2×D411yescharacteristic
528C2×Dic122C2411yescharacteristic
529C2×Dic122C2411yescharacteristic
530C2×Dic122C2411yescharacteristic
531C2×C8×C61C2411yescharacteristic
532C2×C8×C61C2411yescharacteristic
533C2×C8×C61C2411yescharacteristic
534C2×C8×C61C2411yescharacteristic
535C4⋊C4×C61—21no—
536C4⋊C4×C61—21no—
537C4⋊C4×C61—21no—
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61—21no—
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61—21no—
544C4⋊C4×C61—21no—
545C4⋊C4×C61C2411yescharacteristic
546C4⋊C4×C61C2411yescharacteristic
547C4⋊C4×C61C2411yescharacteristic
548C4⋊C4×C61C2411yescharacteristic
549C4⋊C4×C61C2411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C22⋊C4×C61—21no—
552C22⋊C4×C61—21no—
553C22⋊C4×C61—21no—
554C22⋊C4×C61—21no—
555C22⋊C4×C61—21no—
556C22⋊C4×C61—21no—
557C22⋊C4×C61—21no—
558C42×C61—21no—
559C42×C61—21no—
560C42×C61—21no—
561C42×C61C2×D411yescharacteristic
562C42×C61C2×D411yescharacteristic
563C42×C61C2411yescharacteristic
564C42×C61C2411yescharacteristic
565C22⋊Dic61—21no—
566C22⋊Dic61—21no—
567C22⋊Dic61—21no—
568C22⋊Dic61—21no—
569C22⋊Dic61—21no—
570C22⋊Dic61C2×D411yescharacteristic
571C22⋊Dic61C2×D411yescharacteristic
572#11758202—41no—
573#11758201—41no—
574#11758200—41no—
575#11758199—41no—
576#11758198—21no—
577#11758198—21no—
578#11758198—21no—
579#11758198—21no—
580#11758198—21no—
581#11758198—21no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198C2×D411yescharacteristic
591#11758198C2×D411yescharacteristic
592#11758198C2×D411yescharacteristic
593#11758198C2×D411yescharacteristic
594C4⋊Dic61—21no—
595C4⋊Dic61—21no—
596C4⋊Dic61—21no—
597C4⋊Dic61—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61C2×D411yescharacteristic
606C4⋊Dic61C2×D411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609C4⋊Dic61C2411yescharacteristic
610C4⋊Dic61C2411yescharacteristic
611#11758196—21no—
612#11758196—21no—
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
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#11758196C2×D411yescharacteristic
638#11758196C2×D411yescharacteristic
639#11758196C2×D411yescharacteristic
640#11758196C2×D411yescharacteristic
641C4×Dic61—21no—
642C4×Dic61—21no—
643C4×Dic61—21no—
644C4×Dic61—21no—
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61C2×D411yescharacteristic
653C4×Dic61C2×D411yescharacteristic
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2411yescharacteristic
657C4×Dic61C2411yescharacteristic
658#11758194—41no—
659#11758194—41no—
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664Dic244—22no—
665Dic244—41no—
666#11758190—22no—
667#11758190—41no—
668#11758189—41no—
669#11758189—41no—
670C8×D61—41no—
671C8×D61—41no—
672C23×C61—21no—
673C23×C61C22×D411yescharacteristic
674C22×D61—21no—
675C22×D61C22×D411yescharacteristic
676C22×D61C22×D411yescharacteristic
677Q8×C61—21no—
678Q8×C61—21no—
679Q8×C61—42no—
680Q8×C61—81no—
681D4×C61—21no—
682D4×C61—21no—
683D4×C61—42no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—41no—
694C2×C4×C61—41no—
695C2×C4×C61—42no—
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C2511yescharacteristic
702C22⋊D61—22no—
703C22⋊D61—41no—
704C22⋊D61—42no—
705C22⋊D61—42no—
706C22⋊D61—81no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—42no—
715C2×Dic61—42no—
716C2×Dic61—42no—
717C2×Dic61—42no—
718C2×Dic61C22×D411yescharacteristic
719C2×Dic61C22×D411yescharacteristic
720C2×Dic61C22×D411yescharacteristic
721C2×Dic61C22×D411yescharacteristic
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724D244—22no—
725D244—21no—
726D244—21no—
727D244—42no—
728D244—42no—
729C4×D61—22no—
730C4×D61—21no—
731C4×D61—21no—
732C4×D61—21no—
733C4×D61—21no—
734C4×D61—41no—
735C4×D61—41no—
736C4×D61—41no—
737C4×D61—42no—
738C4×D61—42no—
739C4×D61—42no—
740C4×D61—42no—
741C4×D61—42no—
742C4×D61—81no—
743C4×D61—81no—
744C4×D61—81no—
745C4×D61—81no—
746Dic122—21no—
747Dic122—21no—
748Dic122—21no—
749Dic122—21no—
750Dic122—21no—
751Dic122—41no—
752Dic122—42no—
753Dic122—42no—
754Dic122—42no—
755Dic1222−1+412yes—
756C8×C61—21no—
757C8×C61—21no—
758C8×C61—21no—
759C8×C61—21no—
760#92418—21no—
761#92418—21no—
762#92418—21no—
763#92418—21no—
764#62120—611nomaximal, Sylow
765C22×C61—21no—
766C22×C61—21no—
767C22×C61—21no—
768C22×C61—41no—
769C22×C61—41no—
770C22×C61—41no—
771C22×C61C23×D411yescharacteristic
772C2×D61—21no—
773C2×D61—21no—
774C2×D61—21no—
775C2×D61—21no—
776C2×D61—21no—
777C2×D61—41no—
778C2×D61—41no—
779C2×D61—41no—
780C2×D61#57512yes—
781C4×C61—21no—
782C4×C61—21no—
783C4×C61—21no—
784C4×C61—21no—
785C4×C61—21no—
786C4×C61—41no—
787C4×C61—41no—
788C4×C61—41no—
789C4×C61—41no—
790C4×C61—41no—
791C4×C61—41no—
792C4×C61—41no—
793C4×C61C2×2−1+411yescharacteristic
794C4×C61#58511yescharacteristic
795Dic61—21no—
796Dic61—21no—
797Dic61—22no—
798Dic61—21no—
799Dic61—21no—
800Dic61—21no—
801Dic61—21no—
802Dic61—41no—
803Dic61—41no—
804Dic61—41no—
805Dic61—41no—
806Dic61—41no—
807Dic61—41no—
808#3515—611no—
809#3482—611no—
810#3390—611no—
811#3388—611no—
812#3377—611no—
813#3376—611no—
814#3352—611no—
815#3351—611no—
816#3345—611no—
817#3344—611no—
818#3343—611no—
819#3343—611no—
820#3327—611no—
821#3326—611no—
822#3320—611no—
823#3316—611no—
824#3312—611no—
825#3308—611no—
826#3256—611no—
827#3252—611no—
828#3250—611no—
829#3240D6111yescharacteristic, complemented
830#3236—611no—
831#3232—611no—
832#3117—611no—
833#3111—611no—
834#3108—611no—
835#3080—611no—
836#3078—611no—
837C2×#479—611no—
838#2989—611no—
839C2×C61—41no—
840C2×C61—81no—
841C2×C61#348911yescharacteristic
842C2×C61C2×#57511yescharacteristic
843C2×C61#358611yescharacteristic
844D61—22no—
845D61—41no—
846D61—81no—
847#557—611no—
848#557—611no—
849#556—611no—
850#556—1221no—
851#554—611no—
852#554—611no—
853#553—611no—
854#553—611no—
855#552—611no—
856#552—611no—
857#552—611no—
858#552—611no—
859#552—1221no—
860#552—1221no—
861#552—1221no—
862#552—1221no—
863#552—1221no—
864D4×Q8—611no—
865#548—611no—
866#548—611no—
867#547—611no—
868#547—611no—
869#547—1221no—
870#547—1221no—
871#541—1221no—
872#539—1221no—
873#539—1221no—
874#533—611no—
875#533—1221no—
876#533C2×D6111yescharacteristic
877#529—611no—
878#529—611no—
879#529—611no—
880#529—611no—
881#529—1221no—
882#529—1221no—
883#529C2×D6111yescharacteristic
884C2×#125—611no—
885C2×#125—611no—
886#520—1221no—
887C4×#41—611no—
888C4×#41—611no—
889C4×#41—1221no—
890C2×C4×Q8—611no—
891C2×C4×Q8—611no—
892#501—611no—
893#501—611no—
894#501C2×D6111yescharacteristic
895#501C2×D6111yescharacteristic
896#499—611no—
897#499—611no—
898#491—611no—
899#491—611no—
900#489C2×D6111yescharacteristic
901#489C2×D6111yescharacteristic
902#488—611no—
903#488—611no—
904#485—611no—
905#485C2×D6111yescharacteristic
906#485C2×D6111yescharacteristic
907#484—611no—
908#484—611no—
909#484—611no—
910#484—611no—
911#483—611no—
912#483—611no—
913#483—611no—
914#483—611no—
915#482—611no—
916#482C2×D6111yescharacteristic
917#482C2×D6111yescharacteristic
918#481—611no—
919#481—611no—
920#480—611no—
921#480—611no—
922#479—611no—
923#479—611no—
924#479—611no—
925#479—611no—
926#479—611no—
927#479—611no—
928#479—611no—
929#479—611no—
930#479—611no—
931#479—611no—
932#479—611no—
933#479—611no—
934#479—611no—
935#479—611no—
936#479—611no—
937#479C2×D6111yescharacteristic
938#479C2×D6111yescharacteristic
939#478—611no—
940#478—611no—
941#478—611no—
942#478—611no—
943#478—611no—
944#478C2×D6111yescharacteristic
945#478C2×D6111yescharacteristic
946#477—611no—
947#477—611no—
948#477—611no—
949#476—611no—
950#475—611no—
951#475—611no—
952#470—611no—
953#470—611no—
954#470—611no—
955#469—611no—
956#468—611no—
957#468—611no—
958#468—611no—
959#468—611no—
960#467—611no—
961#466—611no—
962#465—611no—
963#465—611no—
964#464—611no—
965#464—611no—
966#464—611no—
967#464—611no—
968#464—611no—
969#463—611no—
970#463—611no—
971#463—611no—
972#462—611no—
973#461—611no—
974#452—611no—
975#451—611no—
976#451—611no—
977#449—611no—
978#448—611no—
979#448—611no—
980#446—611no—
981#446—611no—
982#442—611no—
983#441—611no—
984#441—611no—
985#441—611no—
986#440—611no—
987#440—611no—
988#440—611no—
989#440—611no—
990C4×Q16—611no—
991C4×Q16—611no—
992C4×SD16—611no—
993C4×SD16—611no—
994#436—611no—
995#436—611no—
996#435—611no—
997#435—611no—
998#435—611no—
999#435—611no—
1000#432—611no—
1001#432C2×D6111yescharacteristic
1002#431—611no—
1003#428—611no—
1004#428—611no—
1005#428—611no—
1006#428—611no—
1007C2×#107—611no—
1008C2×#106—611no—
1009#423—611no—
1010#423—611no—
1011C2×C4⋊C8—611no—
1012#419—611no—
1013#419—611no—
1014#417—611no—
1015#417—611no—
1016C2×#103—611no—
1017C2×#103—611no—
1018C61#6212011yescharacteristic, complemented, Sylow
1019C2×#41—611no—
1020C2×#41—611no—
1021C2×#41—1221no—
1022C2×#41—1221no—
1023C22×Q8—611no—
1024C22×Q8—611no—
1025C2×Q16—611no—
1026C2×Q16—611no—
1027C2×Q16—611no—
1028C2×SD16—611no—
1029C2×SD16—611no—
1030C2×SD16—611no—
1031C2×SD16—611no—
1032C2×D8—611no—
1033C2×M16—611no—
1034C2×M16—611no—
1035C2×M16—611no—
1036C2×M16—611no—
1037C22×C8—611no—
1038C22×C8—611no—
1039C4⋊Q8—611no—
1040C4⋊Q8—611no—
1041C4⋊Q8—1221no—
1042C4⋊Q8—1221no—
1043C4⋊Q8—1221no—
1044C4⋊Q8C22×D6111yescharacteristic
1045C4⋊Q8C22×D6111yescharacteristic
1046#126—21no—
1047#126—1221no—
1048#126—1221no—
1049#126—1221no—
1050#126—1221no—
1051#126—1221no—
1052#126—1221no—
1053#126—1221no—
1054#126—1221no—
1055#126—1221no—
1056#126—1221no—
1057#126—1221no—
1058#126—1221no—
1059#125—611no—
1060#125—611no—
1061#125—611no—
1062#125—611no—
1063#125—611no—
1064#125—611no—
1065#125—1221no—
1066#125—1221no—
1067#125—1221no—
1068#125—1221no—
1069#125—1221no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125—1221no—
1075#125—1221no—
1076#125—1221no—
1077#125—1221no—
1078#125—1221no—
1079#125C22×D6111yescharacteristic
1080#125C22×D6111yescharacteristic
1081#125C22×D6111yescharacteristic
1082#124—611no—
1083#124—611no—
1084#124—1221no—
1085#124—1221no—
1086#124C22×D6111yescharacteristic
1087#123—21no—
1088#123—1221no—
1089#123—1221no—
1090#123—1221no—
1091#123—1221no—
1092#123—1221no—
1093#123—1221no—
1094#123—1221no—
1095#123—1221no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099#123—1221no—
1100#123—1221no—
1101#123—1221no—
1102C22⋊Q8—21no—
1103C22⋊Q8—21no—
1104C22⋊Q8—611no—
1105C22⋊Q8—611no—
1106C22⋊Q8—611no—
1107C22⋊Q8—611no—
1108C22⋊Q8—611no—
1109C22⋊Q8—611no—
1110C22⋊Q8—1221no—
1111C22⋊Q8—1221no—
1112C22⋊Q8—1221no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8C22×D6111yescharacteristic
1124#121—611no—
1125#121—611no—
1126#121—611no—
1127#121—611no—
1128#121—1221no—
1129#121—1221no—
1130#121—1221no—
1131#121—1221no—
1132#121C22×D6111yescharacteristic
1133C4×Q8—21no—
1134C4×Q8—21no—
1135C4×Q8—611no—
1136C4×Q8—611no—
1137C4×Q8—611no—
1138C4×Q8—611no—
1139C4×Q8—611no—
1140C4×Q8—611no—
1141C4×Q8—611no—
1142C4×Q8—611no—
1143C4×Q8—611no—
1144C4×Q8—611no—
1145C4×Q8—611no—
1146C4×Q8—611no—
1147C4×Q8—1221no—
1148C4×Q8—1221no—
1149C4×Q8—1221no—
1150C4×Q8—1221no—
1151C4×Q8—1221no—
1152C4×Q8—1221no—
1153C4×Q8—1221no—
1154C4×Q8C22×D6111yescharacteristic
1155C4×D4—21no—
1156C4×D4—611no—
1157C4×D4—611no—
1158C4×D4—611no—
1159C4×D4—611no—
1160C4×D4—611no—
1161C4×D4—611no—
1162C4×D4—611no—
1163C4×D4—611no—
1164C4×D4—611no—
1165C4×D4—611no—
1166C4×D4—1221no—
1167C4×D4—1221no—
1168C4×D4—1221no—
1169C4×D4—1221no—
1170C4×D4—1221no—
1171C4×D4—1221no—
1172C4×D4—1221no—
1173C4×D4—1221no—
1174C4×D4—1221no—
1175C4×D4—1221no—
1176C4×D4—1221no—
1177C4×D4—1221no—
1178C4×D4C22×D6111yescharacteristic
1179#117—21no—
1180#117—611no—
1181#117—611no—
1182#117—611no—
1183#117—611no—
1184#117—1221no—
1185#117—1221no—
1186#117—1221no—
1187#117—1221no—
1188#117—1221no—
1189#117—1221no—
1190#117—1221no—
1191#117—1221no—
1192#117—1221no—
1193#117—1221no—
1194#117—1221no—
1195#117C22×D6111yescharacteristic
1196#117C22×D6111yescharacteristic
1197C2×C4⋊C4—611no—
1198C2×C4⋊C4—611no—
1199C2×C4⋊C4—611no—
1200C2×C4⋊C4—611no—
1201C2×C4⋊C4—611no—
1202C2×C4⋊C4—611no—
1203C2×C4⋊C4—1221no—
1204C2×C4⋊C4—1221no—
1205C2×C4⋊C4—1221no—
1206C2×C4⋊C4—1221no—
1207C2×C4⋊C4—1221no—
1208C2×C4⋊C4—1221no—
1209C2×C4⋊C4—1221no—
1210C2×C42—611no—
1211C2×C42—611no—
1212C2×C42—1221no—
1213C2×C42—1221no—
1214C2×C42—1221no—
1215C2×C42C22×D6111yescharacteristic
1216#107—611no—
1217#107—611no—
1218#107—611no—
1219#107—611no—
1220#107—611no—
1221#107—611no—
1222#107—611no—
1223#107—611no—
1224#107C22×D6111yescharacteristic
1225#107C22×D6111yescharacteristic
1226#107C22×D6111yescharacteristic
1227#107C22×D6111yescharacteristic
1228#106—611no—
1229#106—611no—
1230#106—611no—
1231#106—611no—
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106C22×D6111yescharacteristic
1237#106C22×D6111yescharacteristic
1238#106C22×D6111yescharacteristic
1239#106C22×D6111yescharacteristic
1240C4⋊C8—611no—
1241C4⋊C8—611no—
1242C4⋊C8—611no—
1243C4⋊C8—611no—
1244C4⋊C8—611no—
1245C4⋊C8—611no—
1246C4⋊C8—611no—
1247C4⋊C8—611no—
1248C4⋊C8C22×D6111yescharacteristic
1249C4⋊C8C22×D6111yescharacteristic
1250#103—611no—
1251#103—611no—
1252#103—611no—
1253#103—611no—
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#103—611no—
1258#103—611no—
1259#103—611no—
1260#103—611no—
1261#103—611no—
1262#103—611no—
1263#103—611no—
1264#103—611no—
1265#103—611no—
1266#103—611no—
1267#103—611no—
1268#103C22×D6111yescharacteristic
1269#103C22×D6111yescharacteristic
1270#103C22×D6111yescharacteristic
1271#103C22×D6111yescharacteristic
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275#102—611no—
1276#102—611no—
1277#102—611no—
1278#102C22×D6111yescharacteristic
1279#102C22×D6111yescharacteristic
1280#102C22×D6111yescharacteristic
1281#102C22×D6111yescharacteristic
1282C22⋊C8—611no—
1283C22⋊C8—611no—
1284C22⋊C8—611no—
1285C22⋊C8—611no—
1286C22⋊C8C22×D6111yescharacteristic
1287C22⋊C8C22×D6111yescharacteristic
1288#97—611no—
1289#97—611no—
1290#97C22×D6111yescharacteristic
1291#97C22×D6111yescharacteristic
1292C4×C8—611no—
1293C4×C8—611no—
1294#41—1222no—
1295#41—2442no—
1296#41—2441no—
1297#41—2444no—
1298#41—2444no—
1299C2×Q8—21no—
1300C2×Q8—21no—
1301C2×Q8—611no—
1302C2×Q8—611no—
1303C2×Q8—611no—
1304C2×Q8—611no—
1305C2×Q8—1221no—
1306C2×Q8—1221no—
1307C2×Q8—1222no—
1308C2×Q8—1221no—
1309C2×Q8—1222no—
1310C2×Q8—2441no—
1311C2×Q8—2441no—
1312C2×Q8C23×D6111yescharacteristic
1313C2×D4—21no—
1314C2×D4—611no—
1315C2×D4—611no—
1316C2×D4—611no—
1317C2×D4—611no—
1318C2×D4—1221no—
1319C2×D4—1221no—
1320C2×D4—1221no—
1321C2×D4—1221no—
1322C2×D4—1221no—
1323C2×D4C23×D6111yescharacteristic
1324C22×C4—21no—
1325C22×C4—611no—
1326C22×C4—611no—
1327C22×C4—611no—
1328C22×C4—611no—
1329C22×C4—611no—
1330C22×C4—611no—
1331C22×C4—1221no—
1332C22×C4—1221no—
1333C22×C4—1221no—
1334C22×C4—1221no—
1335C22×C4—1221no—
1336C22×C4—1221no—
1337C22×C4—1221no—
1338C22×C4—1221no—
1339C22×C4—1221no—
1340C22×C4—1221no—
1341C22×C4—1221no—
1342C22×C4—1221no—
1343C22×C4—1221no—
1344C22×C4D4×D6111yescharacteristic
1345C22×C4D4×D6111yescharacteristic
1346C22×C4C23×D6111yescharacteristic
1347Q16—1222no—
1348Q16—2441no—
1349Q16—2441no—
1350SD16—1222no—
1351SD16—2441no—
1352SD16—2441no—
1353SD16—2441no—
1354D8—2441no—
1355M16—2441no—
1356M16—2441no—
1357M16—2441no—
1358M16—2441no—
1359C2×C8—611no—
1360C2×C8—611no—
1361C2×C8—611no—
1362C2×C8—611no—
1363C2×C8—2441no—
1364C2×C8—2441no—
1365C2×C8C23×D6111yescharacteristic
1366C2×C8C23×D6111yescharacteristic
1367C2×C8C23×D6111yescharacteristic
1368C2×C8C23×D6111yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—611no—
1380C4⋊C4—611no—
1381C4⋊C4—611no—
1382C4⋊C4—611no—
1383C4⋊C4—611no—
1384C4⋊C4—611no—
1385C4⋊C4—611no—
1386C4⋊C4—611no—
1387C4⋊C4—611no—
1388C4⋊C4—611no—
1389C4⋊C4—1221no—
1390C4⋊C4—1221no—
1391C4⋊C4—1221no—
1392C4⋊C4—1221no—
1393C4⋊C4—1221no—
1394C4⋊C4—1221no—
1395C4⋊C4—1221no—
1396C4⋊C4—1221no—
1397C4⋊C4—1221no—
1398C4⋊C4—1221no—
1399C4⋊C4—1221no—
1400C4⋊C4—1221no—
1401C4⋊C4—1221no—
1402C4⋊C4—1221no—
1403C4⋊C4—1221no—
1404C4⋊C4—1221no—
1405C4⋊C4—1221no—
1406C4⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4C23×D6111yescharacteristic
1427C4⋊C4C23×D6111yescharacteristic
1428C4⋊C4C23×D6111yescharacteristic
1429C4⋊C4C23×D6111yescharacteristic
1430C4⋊C4C23×D6111yescharacteristic
1431C4⋊C4C23×D6111yescharacteristic
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—21no—
1437C22⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—611no—
1440C22⋊C4—611no—
1441C22⋊C4—611no—
1442C22⋊C4—611no—
1443C22⋊C4—611no—
1444C22⋊C4—611no—
1445C22⋊C4—1221no—
1446C22⋊C4—1221no—
1447C22⋊C4—1221no—
1448C22⋊C4—1221no—
1449C22⋊C4—1221no—
1450C22⋊C4—1221no—
1451C22⋊C4—1221no—
1452C22⋊C4—1221no—
1453C22⋊C4—1221no—
1454C22⋊C4—1221no—
1455C22⋊C4—1221no—
1456C22⋊C4—1221no—
1457C22⋊C4—1221no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C42—21no—
1465C42—21no—
1466C42—21no—
1467C42—611no—
1468C42—611no—
1469C42—611no—
1470C42—611no—
1471C42—611no—
1472C42—611no—
1473C42—1221no—
1474C42—1221no—
1475C42—1221no—
1476C42—1221no—
1477C42—1221no—
1478C42—1221no—
1479C42—1221no—
1480C42—1221no—
1481C42—1221no—
1482C42—1221no—
1483C42—1221no—
1484C42D4×D6111yescharacteristic
1485C42D4×D6111yescharacteristic
1486C42C23×D6111yescharacteristic
1487C42C23×D6111yescharacteristic
1488C23—21no—
1489C23—611no—
1490C23—611no—
1491C23—1221no—
1492C23C2×D4×D6111yescharacteristic
1493Q8—21no—
1494Q8—21no—
1495Q8—42no—
1496Q8—81no—
1497Q8—612no—
1498Q8—1221no—
1499Q8—1221no—
1500Q8—1221no—
1501Q8—1221no—
1502Q8—1221no—
1503Q8—2441no—
1504Q8—2442no—
1505Q8—2442no—
1506Q8—2442no—
1507D4—21no—
1508D4—21no—
1509D4—42no—
1510D4—1222no—
1511D4—1222no—
1512D4—1221no—
1513D4—1221no—
1514D4—4881no—
1515D4—2442no—
1516D4—2442no—
1517D4—2441no—
1518D4—2442no—
1519D4—2442no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—42no—
1532C2×C4—611no—
1533C2×C4—611no—
1534C2×C4—611no—
1535C2×C4—611no—
1536C2×C4—611no—
1537C2×C4—611no—
1538C2×C4—1222no—
1539C2×C4—1221no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—1221no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—1221no—
1546C2×C4—1221no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—4881no—
1551C2×C4—4881no—
1552C2×C4—4881no—
1553C2×C4—4881no—
1554C2×C4—2441no—
1555C2×C4—2441no—
1556C2×C4—2441no—
1557C2×C4—2442no—
1558C2×C4—2442no—
1559C2×C4—2442no—
1560C2×C4—2442no—
1561C2×C4—2442no—
1562C2×C4—2442no—
1563C2×C4—2442no—
1564C2×C4—2442no—
1565C2×C4—2442no—
1566C2×C4C2×D4×D6111yescharacteristic
1567C2×C4C2×D4×D6111yescharacteristic
1568C2×C4C2×D4×D6111yescharacteristic
1569C2×C4C2×D4×D6111yescharacteristic
1570C2×C4C2×D4×D6111yescharacteristic
1571C2×C4C24×D6111yescharacteristic
1572C8—21no—
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—1221no—
1577C8—1221no—
1578C8—1221no—
1579C8—1221no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—612no—
1587C22—1221no—
1588C22—1221no—
1589C22—1221no—
1590C22—1221no—
1591C22—1221no—
1592C22—2441no—
1593C22—2441no—
1594C22—2441no—
1595C22C22×D4×D6111yescharacteristic
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—1221no—
1609C4—1221no—
1610C4—1222no—
1611C4—1221no—
1612C4—1221no—
1613C4—1221no—
1614C4—1221no—
1615C4—2441no—
1616C4—2441no—
1617C4—2441no—
1618C4—2441no—
1619C4—2441no—
1620C4—2441no—
1621C42−1+4×D6111yescharacteristic
1622C4#1684059911yescharacteristic
1623C2—41no—
1624C2—81no—
1625C2—1222no—
1626C2—4881no—
1627C2—2441no—
1628C2#2145949711yescharacteristic
1629C2#575×D6111yescharacteristic
1630C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3240C2
socleC22×C61C23×D4
hypercenter#3240D61
hypocenterC61#62120
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3240

Complements

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

NH ≅ G/Ntype
1. #21459792C2semidirect
2. #21459432C2semidirect
3. #21458783C2semidirect
4. #21458763C2semidirect
5. #21458660C2semidirect
6. #21458645C2semidirect
7. #21458387C2semidirect
8. #21458377C2semidirect
9. #21458292C2semidirect
10. #21458273C2semidirect
11. #21458258C2semidirect
12. #21458252C2semidirect
13. #21458085C2semidirect
14. #21458070C2semidirect
15. #21457993C2semidirect
16. #21457929C2semidirect
17. #21457873C2semidirect
18. #21457809C2semidirect
19. #21457215C2semidirect
20. #21457191C2semidirect
21. #21457170C2semidirect
22. #21457023C2semidirect
23. #21456985C2semidirect
24. #21455992C2semidirect
25. #21455933C2semidirect
26. #21455904C2semidirect
27. #21455636C2semidirect
28. #21455620C2semidirect
29. #479×D61C2semidirect
30. #21454938C2semidirect
31. C61×#3240C2semidirect
829. #3240D61semidirect
1018. C61#62120semidirect

Maximal subgroups

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

subgroupindex
#214597922
#214594322
#214587832
#214587632
#214586602
#214586452
#214583872
#214583772
#214582922
#214582732
#214582582
#214582522
#214580852
#214580702
#214579932
#214579292
#214578732
#214578092
#214572152
#214571912
#214571702
#214570232
#214569852
#214559922
#214559332
#214559042
#214556362
#214556202
#479×D612
#214549382
C61×#32402
#6212061