Finite Group Databasebeta

← #30570950

Subgroups — #30570950

Order 15616.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460218C211yesmaximal, characteristic, complemented
2#21459639C211yesmaximal, characteristic, complemented
3#21458777C211yesmaximal, characteristic, complemented
4#21458776C211yesmaximal, characteristic, complemented
5#21458772C211yesmaximal, characteristic, complemented
6#21458770C211yesmaximal, characteristic, complemented
7#21458764C211yesmaximal, characteristic, complemented
8#21458763C211yesmaximal, characteristic, complemented
9#21458759C211yesmaximal, characteristic, complemented
10#21458551C211yesmaximal, characteristic, complemented
11#21458551C211yesmaximal, characteristic, complemented
12#21458550C211yesmaximal, characteristic, complemented
13#21458547C211yesmaximal, characteristic, complemented
14#21458527C211yesmaximal, characteristic, complemented
15#21458527C211yesmaximal, characteristic, complemented
16#21458526C211yesmaximal, characteristic, complemented
17#21458524C211yesmaximal, characteristic, complemented
18#21457079C211yesmaximal, characteristic, complemented
19#21457075C211yesmaximal, characteristic, complemented
20#21457073C211yesmaximal, characteristic, complemented
21#21457069C211yesmaximal, characteristic, complemented
22#21457010C211yesmaximal, characteristic, complemented
23#21457007C211yesmaximal, characteristic, complemented
24#21456023C211yesmaximal, characteristic, complemented
25#21456023C211yesmaximal, characteristic, complemented
26#21456022C211yesmaximal, characteristic, complemented
27#21456014C211yesmaximal, characteristic, complemented
28#21455972C211yesmaximal, characteristic, complemented
29#21455966C211yesmaximal, characteristic, complemented
30#21454922C211yesmaximal, characteristic, complemented
31C61×#3389C211yesmaximal, characteristic, complemented
32#16840508—21no—
33#16840508—21no—
34#16840490C2211yescharacteristic
35#16840489C2211yescharacteristic
36#16840489C2211yescharacteristic
37#16840487C2211yescharacteristic
38#16840473C2211yescharacteristic
39#16840471C2211yescharacteristic
40#16840471C2211yescharacteristic
41#16840470—21no—
42#16840469C2211yescharacteristic
43#16840468C2211yescharacteristic
44#16840468C2211yescharacteristic
45#16840467—21no—
46#16840466—21no—
47#16840466—21no—
48#16840434C2211yescharacteristic
49#16840433C2211yescharacteristic
50#16840433C2211yescharacteristic
51#16840433C2211yescharacteristic
52#16840414—21no—
53#16840413—21no—
54#16840392C2211yescharacteristic
55#16840391—21no—
56#16840391—21no—
57#16840389C2211yescharacteristic
58#16840368C2211yescharacteristic
59#16840368C2211yescharacteristic
60#16840363C2211yescharacteristic
61#16840363C2211yescharacteristic
62#16840343—21no—
63#16840342—21no—
64#16840342—21no—
65#16840342—21no—
66#16840316C2211yescharacteristic
67#16840314—21no—
68#16840313C2211yescharacteristic
69#16840309C2211yescharacteristic
70C2×#14519767—21no—
71#125×D61C2211yescharacteristic
72#16840241C2211yescharacteristic
73#16840241C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840169C2211yescharacteristic
80#16840168C2211yescharacteristic
81#16840163C2211yescharacteristic
82#16840163C2211yescharacteristic
83#16840161C2211yescharacteristic
84#16840128C2211yescharacteristic
85#16840128C2211yescharacteristic
86#16840127C2211yescharacteristic
87#16840127C2211yescharacteristic
88#16840125C2211yescharacteristic
89#16840125C2211yescharacteristic
90#16840125C2211yescharacteristic
91#16840125C2211yescharacteristic
92#16840110C2211yescharacteristic
93#16840109C2211yescharacteristic
94#16840107C2211yescharacteristic
95#16840107C2211yescharacteristic
96#16840089C2211yescharacteristic
97#16840089C2211yescharacteristic
98#16840088C2211yescharacteristic
99#16840084C2211yescharacteristic
100#16840082C2211yescharacteristic
101#16840082C2211yescharacteristic
102#16840082C2211yescharacteristic
103#16840079C2211yescharacteristic
104#16840077C2211yescharacteristic
105#16840077C2211yescharacteristic
106#16840077C2211yescharacteristic
107#16840074C2211yescharacteristic
108#16840072C2211yescharacteristic
109#16840068C2211yescharacteristic
110#16840066C2211yescharacteristic
111#16840066C2211yescharacteristic
112#16840065C2211yescharacteristic
113#16840065C2211yescharacteristic
114#16840065C2211yescharacteristic
115#16840065C2211yescharacteristic
116#16840064C2211yescharacteristic
117#16840063C2211yescharacteristic
118#16840063C2211yescharacteristic
119#16840062C2211yescharacteristic
120#16840062C2211yescharacteristic
121#16840061C2211yescharacteristic
122#16840061C2211yescharacteristic
123#16840061C2211yescharacteristic
124#16840061C2211yescharacteristic
125#16840060C2211yescharacteristic
126#16840059C2211yescharacteristic
127#16840059C2211yescharacteristic
128#16840052C2211yescharacteristic
129#16840051C2211yescharacteristic
130#16840051C2211yescharacteristic
131#16840049C2211yescharacteristic
132#16840046C2211yescharacteristic
133#16840044C2211yescharacteristic
134#16840043C2211yescharacteristic
135#16840041C2211yescharacteristic
136#16840041C2211yescharacteristic
137#16840040C2211yescharacteristic
138#16839963C2211yescharacteristic
139#16839963C2211yescharacteristic
140#16839963C2211yescharacteristic
141#16839961C2211yescharacteristic
142#16839961C2211yescharacteristic
143#16839961C2211yescharacteristic
144#16839957C2211yescharacteristic
145#16839957C2211yescharacteristic
146#16839957C2211yescharacteristic
147#16839955C2211yescharacteristic
148#16839955C2211yescharacteristic
149#16839955C2211yescharacteristic
150#16839908C2211yescharacteristic
151#16839908C2211yescharacteristic
152#16839908C2211yescharacteristic
153#16839904C2211yescharacteristic
154#16839893C2211yescharacteristic
155#16839892C2211yescharacteristic
156#16839891C2211yescharacteristic
157#16839891C2211yescharacteristic
158#16839890C2211yescharacteristic
159#16839890C2211yescharacteristic
160#16839889C2211yescharacteristic
161#16839872C2211yescharacteristic
162#16839872C2211yescharacteristic
163#16839871C2211yescharacteristic
164#16839871C2211yescharacteristic
165#16839871C2211yescharacteristic
166#16839871C2211yescharacteristic
167#16839864C2211yescharacteristic
168#16839864C2211yescharacteristic
169#16839862C2211yescharacteristic
170#16839862C2211yescharacteristic
171#16839861C2211yescharacteristic
172#16839861C2211yescharacteristic
173#16839861C2211yescharacteristic
174#16839861C2211yescharacteristic
175C4×#11758190C2211yescharacteristic
176#16839849C2211yescharacteristic
177#16839849C2211yescharacteristic
178C4×#11758200C2211yescharacteristic
179C4×#11758199C2211yescharacteristic
180#16839842C2211yescharacteristic
181#16839842C2211yescharacteristic
182#16839824C2211yescharacteristic
183#16839822C2211yescharacteristic
184#16839822C2211yescharacteristic
185#16839821C2211yescharacteristic
186#16839818C2211yescharacteristic
187#16839817C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#554C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#501C2211yescharacteristic
192C61×#499C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#478C2211yescharacteristic
196C61×#478C2211yescharacteristic
197C61×#474C2211yescharacteristic
198C61×#474C2211yescharacteristic
199C61×#446C2211yescharacteristic
200C61×#442C2211yescharacteristic
201C61×#442C2211yescharacteristic
202C4×D8×C61C2211yescharacteristic
203C2×#11758226—21no—
204C2×#11758226—21no—
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758222—21no—
209C2×#11758224C2311yescharacteristic
210C2×#11758190C2311yescharacteristic
211C2×#11758190C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758200C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758199C2311yescharacteristic
216C2×#11758199C2311yescharacteristic
217#14519777C2311yescharacteristic
218#14519776—21no—
219#14519776—21no—
220#14519776—21no—
221#14519776D411yescharacteristic
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519775—21no—
226#14519775—21no—
227#14519775—21no—
228#14519775D411yescharacteristic
229#14519774C2311yescharacteristic
230#14519774C2311yescharacteristic
231#14519774C2311yescharacteristic
232#14519773C2311yescharacteristic
233#14519773C2311yescharacteristic
234#14519773C2311yescharacteristic
235#14519769C2311yescharacteristic
236#14519769C2311yescharacteristic
237#14519768C2311yescharacteristic
238#14519768C2311yescharacteristic
239#14519768C2311yescharacteristic
240#14519768C2311yescharacteristic
241#14519768C2311yescharacteristic
242#14519768C2311yescharacteristic
243#14519767—21no—
244#14519767—21no—
245#14519767—21no—
246#14519767—21no—
247#14519767—21no—
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767D411yescharacteristic
256#14519767D411yescharacteristic
257#14519766—21no—
258#14519763—21no—
259#14519762—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519760—21no—
264#14519760—21no—
265#14519759—21no—
266#14519759—21no—
267#14519757—21no—
268#14519757—21no—
269#14519757—21no—
270#14519757—21no—
271#14519757D411yescharacteristic
272#14519756—21no—
273#14519756—21no—
274#14519756—21no—
275#14519755—21no—
276#14519755—21no—
277#14519755—21no—
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519755D411yescharacteristic
282#14519755D411yescharacteristic
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519754—21no—
288#14519754—21no—
289#14519753—21no—
290#14519753—21no—
291#14519753—21no—
292#14519753D411yescharacteristic
293#14519752—21no—
294#14519752—21no—
295#14519752—21no—
296#14519752—21no—
297#14519752—21no—
298#14519752—21no—
299#14519752—21no—
300#14519752—21no—
301#14519752C2311yescharacteristic
302#14519752C2311yescharacteristic
303#14519752C2311yescharacteristic
304#14519751—21no—
305#14519751—21no—
306#14519751—21no—
307#14519751—21no—
308#14519751—21no—
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519750—21no—
314#14519750—21no—
315#14519750—21no—
316#14519750—21no—
317#14519750—21no—
318#14519748C2311yescharacteristic
319Q8×Dic61—21no—
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326#14519742—21no—
327#14519742—21no—
328#14519742—21no—
329#14519742C2311yescharacteristic
330#14519742C2311yescharacteristic
331#14519742C2311yescharacteristic
332C4×D244C2311yescharacteristic
333C4×D244C2311yescharacteristic
334C4×D244C2311yescharacteristic
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338#14519739—21no—
339#14519739C2311yescharacteristic
340#14519739C2311yescharacteristic
341#14519739C2311yescharacteristic
342#14519739C2311yescharacteristic
343#14519739C2311yescharacteristic
344#14519739C2311yescharacteristic
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519735C2311yescharacteristic
353#14519734C2311yescharacteristic
354#14519734C2311yescharacteristic
355#14519733—21no—
356#14519733—21no—
357#14519733—21no—
358C2×C4⋊Dic61—21no—
359C2×#11758196—21no—
360C2×#11758196—21no—
361C2×#11758196—21no—
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×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C2×C4×Dic61—21no—
371C42×D61C2311yescharacteristic
372#14519711C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519710C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519709C2311yescharacteristic
380#14519708C2311yescharacteristic
381#14519708C2311yescharacteristic
382#14519708C2311yescharacteristic
383#14519708C2311yescharacteristic
384#14519708C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387C4⋊#92418C2311yescharacteristic
388C4⋊#92418C2311yescharacteristic
389C4⋊#92418C2311yescharacteristic
390#14519706C2311yescharacteristic
391#14519706C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519702C2311yescharacteristic
397#14519700C2311yescharacteristic
398#14519700C2311yescharacteristic
399#14519700C2311yescharacteristic
400#14519699C2311yescharacteristic
401#14519699C2311yescharacteristic
402#14519699C2311yescharacteristic
403#14519699C2311yescharacteristic
404#14519699C2311yescharacteristic
405#14519699C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519698C2311yescharacteristic
410#14519698C2311yescharacteristic
411#14519698C2311yescharacteristic
412#14519698C2311yescharacteristic
413#14519697C2311yescharacteristic
414#14519697C2311yescharacteristic
415#14519697C2311yescharacteristic
416#14519697C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519689C2311yescharacteristic
423#14519689C2311yescharacteristic
424#14519689C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519688C2311yescharacteristic
427#14519688C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×D8×C61C2311yescharacteristic
436C4⋊Q8×C61C2311yescharacteristic
437C4⋊Q8×C61C2311yescharacteristic
438#125×C61C2311yescharacteristic
439#125×C61C2311yescharacteristic
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442C22⋊Q8×C61—21no—
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C4×Q8×C61C2311yescharacteristic
449C4×D4×C61C2311yescharacteristic
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C2×C4⋊C4×C61—21no—
456C2×C4⋊C4×C61—21no—
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61C2×D411yescharacteristic
481C2×D4×C61C2411yescharacteristic
482C2×D4×C61C2411yescharacteristic
483C22×C4×C61—21no—
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C22×Dic61—21no—
498C22×Dic61—21no—
499C22×Dic61—21no—
500C22×Dic61—21no—
501#11758226—82no—
502#11758226—82no—
503#11758224—22no—
504#11758224—22no—
505#11758222—82no—
506#11758222—82no—
507#11758222—82no—
508#11758222—82no—
509C2×D244—21no—
510C2×D244—21no—
511C2×D244—21no—
512C2×D244—21no—
513C2×D244—21no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244—21no—
517C2×D244—21no—
518C2×D244C2411yescharacteristic
519C2×D244C2411yescharacteristic
520C2×D244C2411yescharacteristic
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—21no—
532C2×C4×D61C2×D411yescharacteristic
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2411yescharacteristic
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122C2×D411yescharacteristic
540C2×Dic122C2×D411yescharacteristic
541C2×Dic122C2×D411yescharacteristic
542C2×Dic122C2411yescharacteristic
543D8×C61—22no—
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×C61C2×D411yescharacteristic
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2×D411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C42×C61C2411yescharacteristic
574C42×C61C2411yescharacteristic
575C42×C61C2411yescharacteristic
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580#11758200—22no—
581#11758199—22no—
582#11758199—22no—
583#11758199—22no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
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#11758198C2×D411yescharacteristic
598#11758198C2×D411yescharacteristic
599#11758198C2×D411yescharacteristic
600#11758198C2×D411yescharacteristic
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61—21no—
608C4⋊Dic61C2×D411yescharacteristic
609C4⋊Dic61C2×D411yescharacteristic
610C4⋊Dic61C2×D411yescharacteristic
611C4⋊Dic61C2411yescharacteristic
612C4⋊Dic61C2411yescharacteristic
613C4⋊Dic61C2411yescharacteristic
614C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
637#11758196C2×D411yescharacteristic
638#11758196C2×D411yescharacteristic
639#11758196C2×D411yescharacteristic
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61C2×D411yescharacteristic
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2411yescharacteristic
656C4×Dic61C2411yescharacteristic
657C4×Dic61C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662#11758190—22no—
663#11758190—22no—
664#11758190—22no—
665C23×C61—21no—
666C23×C61—21no—
667C22×D61—21no—
668C22×D61—21no—
669C22×D61—21no—
670C22×D61C22×D411yescharacteristic
671Q8×C61—41no—
672Q8×C61—81no—
673Q8×C61—81no—
674D4×C61—21no—
675D4×C61—21no—
676D4×C61—21no—
677D4×C612−1+412yes—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—42no—
685C2×C4×C61—81no—
686C2×C4×C61—81no—
687C2×C4×C61—81no—
688C2×C4×C61—81no—
689C2×C4×C61—81no—
690C2×C4×C61C22×D411yescharacteristic
691C2×C4×C61C22×D411yescharacteristic
692C2×C4×C61C22×D411yescharacteristic
693C2×C4×C61C22×D411yescharacteristic
694C2×C4×C61C22×D411yescharacteristic
695C2×C4×C61C22×D411yescharacteristic
696C2×C4×C61C2511yescharacteristic
697C22⋊D61—24no—
698C22⋊D61—42no—
699C22⋊D61—81no—
700C22⋊D61—81no—
701C22⋊D61—81no—
702C22⋊D61—81no—
703C22⋊D61—81no—
704C22⋊D61—81no—
705C2×Dic61—24no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—81no—
712C2×Dic61—81no—
713C2×Dic61—81no—
714C2×Dic61C22×D411yescharacteristic
715C2×Dic61C22×D411yescharacteristic
716C2×Dic61C22×D411yescharacteristic
717C2×Dic61C22×D411yescharacteristic
718C2×Dic61C22×D411yescharacteristic
719C2×Dic61C22×D411yescharacteristic
720C2×Dic61C22×D411yescharacteristic
721D244—21no—
722D244—21no—
723D244—21no—
724D244—21no—
725D244—21no—
726D244—21no—
727D244—42no—
728D244—81no—
729D244—81no—
730D244—81no—
731D244—81no—
732D244—81no—
733D244—81no—
734D244—81no—
735D244—81no—
736C4×D61—21no—
737C4×D61—21no—
738C4×D61—41no—
739C4×D61—41no—
740C4×D61—42no—
741C4×D61—42no—
742C4×D61—42no—
743C4×D61—81no—
744C4×D61—81no—
745C4×D61—81no—
746C4×D61—81no—
747C4×D61—81no—
748C4×D61—81no—
749C4×D61—81no—
750C4×D61—81no—
751Dic122—21no—
752Dic122—41no—
753Dic122—41no—
754Dic122—41no—
755Dic122—81no—
756Dic122—81no—
757Dic122—81no—
758Dic122—81no—
759Dic1222−1+412yes—
760C8×C61—21no—
761C8×C61—21no—
762C8×C61—21no—
763C8×C61—21no—
764#92418—21no—
765#92418—21no—
766#92418—21no—
767#92418—21no—
768#61876—611nomaximal, Sylow
769C22×C61—22no—
770C22×C61—41no—
771C22×C61—41no—
772C22×C61—41no—
773C22×C61—41no—
774C22×C61—41no—
775C22×C61C23×D411yescharacteristic
776C2×D61—21no—
777C2×D61—21no—
778C2×D61—21no—
779C2×D61—41no—
780C2×D61—41no—
781C2×D61—41no—
782C2×D61—41no—
783C2×D61—41no—
784C2×D61—41no—
785C2×D61—41no—
786C2×D61—41no—
787C2×D61—41no—
788C4×C61—21no—
789C4×C61—21no—
790C4×C61—21no—
791C4×C61—21no—
792C4×C61—21no—
793C4×C61—21no—
794C4×C61—41no—
795C4×C61—41no—
796C4×C61—41no—
797C4×C61—41no—
798C4×C61—41no—
799C4×C61—41no—
800C4×C61C2×2−1+411yescharacteristic
801C4×C61C2×2−1+411yescharacteristic
802Dic61—21no—
803Dic61—21no—
804Dic61—21no—
805Dic61—21no—
806Dic61—21no—
807Dic61—21no—
808Dic61—22no—
809Dic61—21no—
810Dic61—41no—
811Dic61—41no—
812Dic61—41no—
813Dic61—41no—
814#3548—611no—
815#3504—611no—
816#3389—611no—
817#3389—611no—
818#3389—611no—
819#3389D6111yescharacteristic, complemented
820#3388—611no—
821#3388—611no—
822#3388—611no—
823#3388—611no—
824#3368—611no—
825#3368—611no—
826#3368—611no—
827#3368—611no—
828#3366—611no—
829#3366—611no—
830#3366—611no—
831#3366—611no—
832#3241—611no—
833#3241—611no—
834#3241—611no—
835#3241—611no—
836#3234—611no—
837#3234—611no—
838#3119—611no—
839#3119—611no—
840#3119—611no—
841#3119—611no—
842#3115—611no—
843#3115—611no—
844#2987—611no—
845C2×C61—42no—
846C2×C61—81no—
847C2×C61#348611yescharacteristic
848C2×C61#358511yescharacteristic
849C2×C61#358511yescharacteristic
850D61—41no—
851D61—81no—
852D61—81no—
853D61—81no—
854#562—1221no—
855#562—1221no—
856#557—611no—
857#557—611no—
858#557—611no—
859#557—611no—
860#554—611no—
861#554—611no—
862#554—611no—
863#554—611no—
864#554—611no—
865#554—611no—
866#554—1221no—
867#554—1221no—
868#554—1221no—
869#554—1221no—
870#554C2×D6111yescharacteristic
871#554C2×D6111yescharacteristic
872#550—611no—
873#550—611no—
874#550—611no—
875#550—611no—
876#547—1221no—
877#547—1221no—
878#544—611no—
879#544—611no—
880#544—1221no—
881#544—1221no—
882#540—611no—
883#540—611no—
884#540—611no—
885#540—611no—
886#537—1221no—
887#537—1221no—
888#537—1221no—
889#537—1221no—
890#533—611no—
891#533—1221no—
892#532—611no—
893#532—611no—
894C2×#125—611no—
895C2×#125—1221no—
896#520—611no—
897#520—611no—
898C4×#41—611no—
899#501—611no—
900#501—611no—
901#501—611no—
902#501—611no—
903#501—611no—
904#501—611no—
905#501C2×D6111yescharacteristic
906#501C2×D6111yescharacteristic
907#499—611no—
908#499—611no—
909#499—611no—
910#499C2×D6111yescharacteristic
911#490—611no—
912#490—611no—
913#490—611no—
914#490—611no—
915#490—611no—
916#490—611no—
917#490—611no—
918#490—611no—
919#486—611no—
920#486—611no—
921#486—611no—
922#486—611no—
923#482—611no—
924#482—611no—
925#482—611no—
926#482—611no—
927#481—611no—
928#481—611no—
929#481—611no—
930#481—611no—
931#480—611no—
932#480—611no—
933#480—611no—
934#480—611no—
935#479—611no—
936#479—611no—
937#479—611no—
938#479—611no—
939#478—611no—
940#478—611no—
941#478—611no—
942#478—611no—
943#478—611no—
944#478—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478—611no—
953#478—611no—
954#478—611no—
955#478C2×D6111yescharacteristic
956#478C2×D6111yescharacteristic
957#478C2×D6111yescharacteristic
958#478C2×D6111yescharacteristic
959#476—611no—
960#476—611no—
961#476—611no—
962#476—611no—
963#475—611no—
964#475—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#474C2×D6111yescharacteristic
970#474C2×D6111yescharacteristic
971#460—611no—
972#460—611no—
973#460—611no—
974#460—611no—
975#460—611no—
976#460—611no—
977#459—611no—
978#459—611no—
979#459—611no—
980#459—611no—
981#459—611no—
982#459—611no—
983#449—611no—
984#449—611no—
985#449—611no—
986#449—611no—
987#446—611no—
988#446—611no—
989#446—611no—
990#446—611no—
991#446—611no—
992#446—611no—
993#446—611no—
994#446C2×D6111yescharacteristic
995#442—611no—
996#442—611no—
997#442—611no—
998#442—611no—
999#442—611no—
1000#442—611no—
1001#442C2×D6111yescharacteristic
1002#442C2×D6111yescharacteristic
1003#440—611no—
1004#440—611no—
1005#440—611no—
1006#440—611no—
1007#440—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011C4×SD16—611no—
1012C4×SD16—611no—
1013C4×SD16—611no—
1014C4×SD16—611no—
1015C4×D8—611no—
1016C4×D8—611no—
1017C4×D8—611no—
1018C4×D8C2×D6111yescharacteristic
1019#433—611no—
1020#433—611no—
1021#433—611no—
1022#433—611no—
1023#432—611no—
1024#432—611no—
1025C61#6187611yescharacteristic, complemented, Sylow
1026C2×#41—611no—
1027C2×#41—1221no—
1028C2×#41—1221no—
1029C2×#41—1221no—
1030C2×#41—1221no—
1031C2×#41—1221no—
1032C2×#41—1221no—
1033C2×SD16—611no—
1034C2×SD16—611no—
1035C2×SD16—611no—
1036C2×SD16—611no—
1037C2×D8—611no—
1038C2×D8—611no—
1039C2×D8—611no—
1040C2×D8C22×D6111yescharacteristic
1041C4⋊Q8—611no—
1042C4⋊Q8—611no—
1043C4⋊Q8—611no—
1044C4⋊Q8—611no—
1045C4⋊Q8—611no—
1046C4⋊Q8—611no—
1047C4⋊Q8—1221no—
1048C4⋊Q8—1221no—
1049C4⋊Q8—1221no—
1050C4⋊Q8—1221no—
1051C4⋊Q8—1221no—
1052C4⋊Q8—1221no—
1053C4⋊Q8C22×D6111yescharacteristic
1054C4⋊Q8C22×D6111yescharacteristic
1055#127—611no—
1056#127—611no—
1057#127—611no—
1058#127—611no—
1059#127—611no—
1060#127—611no—
1061#125—611no—
1062#125—611no—
1063#125—611no—
1064#125—611no—
1065#125—611no—
1066#125—611no—
1067#125—611no—
1068#125—611no—
1069#125—611no—
1070#125—611no—
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#125—1221no—
1080#125—1221no—
1081#125—1221no—
1082#125—1221no—
1083#125C22×D6111yescharacteristic
1084#125C22×D6111yescharacteristic
1085#125C22×D6111yescharacteristic
1086#125C22×D6111yescharacteristic
1087#124—1221no—
1088#124—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—
1097C22⋊Q8—21no—
1098C22⋊Q8—21no—
1099C22⋊Q8—21no—
1100C22⋊Q8—21no—
1101C22⋊Q8—21no—
1102C22⋊Q8—21no—
1103C22⋊Q8—611no—
1104C22⋊Q8—611no—
1105C22⋊Q8—611no—
1106C22⋊Q8—611no—
1107C22⋊Q8—1221no—
1108C22⋊Q8—1221no—
1109C22⋊Q8—1221no—
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⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129#121—611no—
1130#121—611no—
1131#121—611no—
1132#121—611no—
1133#121—1221no—
1134#121—1221no—
1135#121—1221no—
1136#121—1221no—
1137#121—1221no—
1138#121—1221no—
1139#121—1221no—
1140#121—1221no—
1141#121—1221no—
1142#121—1221no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155C4×Q8—611no—
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—611no—
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—1221no—
1165C4×Q8—1221no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8C22×D6111yescharacteristic
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
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—1221no—
1182C4×D4—1221no—
1183C4×D4—1221no—
1184C4×D4—1221no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4C22×D6111yescharacteristic
1190C4×D4C22×D6111yescharacteristic
1191C4×D4C22×D6111yescharacteristic
1192C4×D4C22×D6111yescharacteristic
1193C4×D4C22×D6111yescharacteristic
1194C4×D4C22×D6111yescharacteristic
1195#117—611no—
1196#117—611no—
1197#117—611no—
1198#117—1221no—
1199#117—1221no—
1200#117—1221no—
1201C2×C4⋊C4—21no—
1202C2×C4⋊C4—21no—
1203C2×C4⋊C4—611no—
1204C2×C4⋊C4—611no—
1205C2×C4⋊C4—1221no—
1206C2×C4⋊C4—1221no—
1207C2×C4⋊C4—1221no—
1208C2×C4⋊C4—1221no—
1209C2×C4⋊C4—1221no—
1210C2×C4⋊C4—1221no—
1211C2×C4⋊C4—1221no—
1212C2×C4⋊C4—1221no—
1213C2×C4⋊C4—1221no—
1214C2×C4⋊C4—1221no—
1215C2×C42—611no—
1216C2×C42—1221no—
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#107C22×D6111yescharacteristic
1229#106—611no—
1230#106—611no—
1231#106—611no—
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106—611no—
1237#106C22×D6111yescharacteristic
1238#106C22×D6111yescharacteristic
1239#106C22×D6111yescharacteristic
1240#106C22×D6111yescharacteristic
1241C4⋊C8—611no—
1242C4⋊C8—611no—
1243C4⋊C8—611no—
1244C4⋊C8—611no—
1245C4⋊C8—611no—
1246C4⋊C8—611no—
1247C4⋊C8—611no—
1248C4⋊C8—611no—
1249C4⋊C8—611no—
1250C4⋊C8C22×D6111yescharacteristic
1251C4⋊C8C22×D6111yescharacteristic
1252C4⋊C8C22×D6111yescharacteristic
1253#103—611no—
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#102—611no—
1258#102—611no—
1259#102—611no—
1260#102—611no—
1261#102—611no—
1262#102—611no—
1263#102—611no—
1264#102—611no—
1265#102—611no—
1266#102—611no—
1267#102—611no—
1268#102—611no—
1269#102—611no—
1270#102—611no—
1271#102—611no—
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275#102—611no—
1276#102—611no—
1277#102—611no—
1278#102—611no—
1279#102C22×D6111yescharacteristic
1280#102C22×D6111yescharacteristic
1281#102C22×D6111yescharacteristic
1282#102C22×D6111yescharacteristic
1283#102C22×D6111yescharacteristic
1284#102C22×D6111yescharacteristic
1285C22⋊C8—611no—
1286C22⋊C8—611no—
1287C22⋊C8—611no—
1288C22⋊C8—611no—
1289#97—611no—
1290#97—611no—
1291#97—611no—
1292#97—611no—
1293#97—611no—
1294#97—611no—
1295#97C22×D6111yescharacteristic
1296#97C22×D6111yescharacteristic
1297C4×C8—611no—
1298C4×C8—611no—
1299C4×C8—611no—
1300C4×C8C22×D6111yescharacteristic
1301#41—1222no—
1302#41—1222no—
1303#41—4882no—
1304#41—4882no—
1305#41—4882no—
1306#41—4882no—
1307#41—4882no—
1308#41—4882no—
1309C2×Q8—21no—
1310C2×Q8—21no—
1311C2×Q8—611no—
1312C2×Q8—611no—
1313C2×Q8—611no—
1314C2×Q8—611no—
1315C2×Q8—1221no—
1316C2×Q8—1221no—
1317C2×Q8—1221no—
1318C2×Q8—1221no—
1319C2×Q8D4×D6111yescharacteristic
1320C2×D4—611no—
1321C2×D4—611no—
1322C2×D4—611no—
1323C2×D4—1221no—
1324C2×D4—1221no—
1325C2×D4—1221no—
1326C2×D4—1221no—
1327C2×D4—1221no—
1328C2×D4—1221no—
1329C2×D4—1221no—
1330C2×D4—1221no—
1331C2×D4—1221no—
1332C2×D4—1221no—
1333C2×D4—1221no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4C23×D6111yescharacteristic
1341C2×D4C23×D6111yescharacteristic
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—611no—
1349C22×C4—611no—
1350C22×C4—611no—
1351C22×C4—1221no—
1352C22×C4—1221no—
1353C22×C4—1221no—
1354C22×C4—1221no—
1355C22×C4—1221no—
1356C22×C4—1221no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366SD16—1222no—
1367SD16—1222no—
1368SD16—1222no—
1369SD16—1222no—
1370D8—22no—
1371D8—1222no—
1372D8—1222no—
1373D8—1222no—
1374C2×C8—611no—
1375C2×C8—611no—
1376C2×C8—611no—
1377C2×C8—611no—
1378C2×C8C23×D6111yescharacteristic
1379C2×C8C23×D6111yescharacteristic
1380C2×C8C23×D6111yescharacteristic
1381C2×C8C23×D6111yescharacteristic
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—611no—
1393C4⋊C4—611no—
1394C4⋊C4—611no—
1395C4⋊C4—611no—
1396C4⋊C4—611no—
1397C4⋊C4—611no—
1398C4⋊C4—611no—
1399C4⋊C4—611no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
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⋊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⋊C4D4×D6111yescharacteristic
1438C4⋊C4D4×D6111yescharacteristic
1439C4⋊C4D4×D6111yescharacteristic
1440C4⋊C4C23×D6111yescharacteristic
1441C4⋊C4C23×D6111yescharacteristic
1442C4⋊C4C23×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—611no—
1453C22⋊C4—611no—
1454C22⋊C4—611no—
1455C22⋊C4—611no—
1456C22⋊C4—1221no—
1457C22⋊C4—1221no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C42—611no—
1474C42—611no—
1475C42—611no—
1476C42—611no—
1477C42—611no—
1478C42—1221no—
1479C42—1221no—
1480C42—1221no—
1481C42—1221no—
1482C42—1221no—
1483C42—1221no—
1484C42—1221no—
1485C42C23×D6111yescharacteristic
1486C42C23×D6111yescharacteristic
1487C42C23×D6111yescharacteristic
1488C23—21no—
1489C23—21no—
1490C23—611no—
1491C23—1221no—
1492C23—1221no—
1493C23—1221no—
1494Q8—41no—
1495Q8—81no—
1496Q8—81no—
1497Q8—612no—
1498Q8—1221no—
1499Q8—4881no—
1500Q8—4881no—
1501Q8—4881no—
1502Q8—4881no—
1503Q8—2441no—
1504Q8—2441no—
1505Q8—2441no—
1506D4—21no—
1507D4—21no—
1508D4—21no—
1509D4—1224no—
1510D4—1221no—
1511D4—1221no—
1512D4—1221no—
1513D4—1221no—
1514D4—1221no—
1515D4—1221no—
1516D4—4881no—
1517D4—4881no—
1518D4—4881no—
1519D4—4881no—
1520D4—4881no—
1521D4—4881no—
1522D4—4881no—
1523D4—4881no—
1524D4—4881no—
1525D4—4881no—
1526D4—4881no—
1527D4—4881no—
1528D4—4881no—
1529D4—4881no—
1530D4—2442no—
1531D4—2442no—
1532D4#1451982512yes—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—42no—
1540C2×C4—81no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—81no—
1545C2×C4—611no—
1546C2×C4—611no—
1547C2×C4—611no—
1548C2×C4—611no—
1549C2×C4—611no—
1550C2×C4—611no—
1551C2×C4—611no—
1552C2×C4—1224no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—1221no—
1558C2×C4—1221no—
1559C2×C4—1221no—
1560C2×C4—4881no—
1561C2×C4—4881no—
1562C2×C4—4881no—
1563C2×C4—4881no—
1564C2×C4—4881no—
1565C2×C4—4881no—
1566C2×C4—4881no—
1567C2×C4—4881no—
1568C2×C4—4881no—
1569C2×C4—4881no—
1570C2×C4—4881no—
1571C2×C4—2441no—
1572C2×C4—2441no—
1573C2×C4—2442no—
1574C2×C4—2442no—
1575C2×C4—2442no—
1576C2×C4C2×D4×D6111yescharacteristic
1577C2×C4C2×D4×D6111yescharacteristic
1578C2×C4C2×D4×D6111yescharacteristic
1579C2×C4C2×D4×D6111yescharacteristic
1580C2×C4C2×D4×D6111yescharacteristic
1581C2×C4C2×D4×D6111yescharacteristic
1582C2×C4C24×D6111yescharacteristic
1583C8—21no—
1584C8—21no—
1585C8—21no—
1586C8—21no—
1587C8—1221no—
1588C8—1221no—
1589C8—1221no—
1590C8—1221no—
1591C22—22no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—1221no—
1598C22—1221no—
1599C22—1221no—
1600C22—2441no—
1601C22—2441no—
1602C22—2441no—
1603C22—2441no—
1604C22—2441no—
1605C22—2441no—
1606C22—2441no—
1607C22—2441no—
1608C22—2441no—
1609C22C22×D4×D6111yescharacteristic
1610C4—21no—
1611C4—21no—
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—1221no—
1623C4—1222no—
1624C4—1221no—
1625C4—1221no—
1626C4—1221no—
1627C4—1221no—
1628C4—1221no—
1629C4—1221no—
1630C4—2441no—
1631C4—2441no—
1632C4—2441no—
1633C4—2441no—
1634C42−1+4×D6111yescharacteristic
1635C4C2×#1451982511yescharacteristic
1636C2—42no—
1637C2—81no—
1638C2—4881no—
1639C2—4881no—
1640C2—4881no—
1641C2—2441no—
1642C2#2145946911yescharacteristic
1643C2#2146059411yescharacteristic
1644C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3389C2
socleC22×C61C23×D4
hypercenter#3389D61
hypocenterC61#61876
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

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

NH ≅ G/Ntype
1. #21460218C2semidirect
2. #21459639C2semidirect
3. #21458777C2semidirect
4. #21458776C2semidirect
5. #21458772C2semidirect
6. #21458770C2semidirect
7. #21458764C2semidirect
8. #21458763C2semidirect
9. #21458759C2semidirect
10. #21458551C2semidirect
11. #21458551C2semidirect
12. #21458550C2semidirect
13. #21458547C2semidirect
14. #21458527C2semidirect
15. #21458527C2semidirect
16. #21458526C2semidirect
17. #21458524C2semidirect
18. #21457079C2semidirect
19. #21457075C2semidirect
20. #21457073C2semidirect
21. #21457069C2semidirect
22. #21457010C2semidirect
23. #21457007C2semidirect
24. #21456023C2semidirect
25. #21456023C2semidirect
26. #21456022C2semidirect
27. #21456014C2semidirect
28. #21455972C2semidirect
29. #21455966C2semidirect
30. #21454922C2semidirect
31. C61×#3389C2semidirect
819. #3389D61semidirect
1025. C61#61876semidirect

Maximal subgroups

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

subgroupindex
#214602182
#214596392
#214587772
#214587762
#214587722
#214587702
#214587642
#214587632
#214587592
#214585512
#214585502
#214585472
#214585272
#214585262
#214585242
#214570792
#214570752
#214570732
#214570692
#214570102
#214570072
#214560232
#214560222
#214560142
#214559722
#214559662
#214549222
C61×#33892
#6187661