Finite Group Databasebeta

← #30552772

Subgroups — #30552772

Order 15616.

1672 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459634C211yesmaximal, characteristic, complemented
2#21459245C211yesmaximal, characteristic
3#21457101C211yesmaximal, characteristic, complemented
4#21457099C211yesmaximal, characteristic, complemented
5#21457096C211yesmaximal, characteristic, complemented
6#21457089C211yesmaximal, characteristic, complemented
7#21457087C211yesmaximal, characteristic, complemented
8#21457086C211yesmaximal, characteristic, complemented
9#21457084C211yesmaximal, characteristic, complemented
10#21457038C211yesmaximal, characteristic, complemented
11#21457036C211yesmaximal, characteristic, complemented
12#21457034C211yesmaximal, characteristic, complemented
13#21457030C211yesmaximal, characteristic, complemented
14#21456995C211yesmaximal, characteristic, complemented
15#21456993C211yesmaximal, characteristic, complemented
16#21456971C211yesmaximal, characteristic, complemented
17#21456968C211yesmaximal, characteristic, complemented
18#21456354C211yesmaximal, characteristic, complemented
19#21456352C211yesmaximal, characteristic, complemented
20#21456183C211yesmaximal, characteristic, complemented
21#21456181C211yesmaximal, characteristic, complemented
22#21455794C211yesmaximal, characteristic
23#21455792C211yesmaximal, characteristic
24#21455787C211yesmaximal, characteristic, complemented
25#21455785C211yesmaximal, characteristic, complemented
26#21455627C211yesmaximal, characteristic, complemented
27#21455622C211yesmaximal, characteristic, complemented
28#21455604C211yesmaximal, characteristic, complemented
29#477×D61C211yesmaximal, characteristic, complemented
30#21454482C211yesmaximal, characteristic, complemented
31C61×#3243C211yesmaximal, characteristic, complemented
32#16840492—21no—
33#16840489—21no—
34#16840468—21no—
35#16840466—21no—
36#16840466—21no—
37#16840427—21no—
38#16840425—21no—
39#16840425—21no—
40#16840392C2211yescharacteristic
41#16840392C2211yescharacteristic
42#16840390C2211yescharacteristic
43#16840389C2211yescharacteristic
44#16840389C2211yescharacteristic
45#16840389C2211yescharacteristic
46#16840377C2211yescharacteristic
47#16840376—21no—
48#16840374C2211yescharacteristic
49#16840370C2211yescharacteristic
50#16840369—21no—
51#16840358—21no—
52#16840355—21no—
53#16840341C2211yescharacteristic
54#16840335C2211yescharacteristic
55#16840332C2211yescharacteristic
56#16840318C2211yescharacteristic
57#16840318C2211yescharacteristic
58#16840317C2211yescharacteristic
59#16840315C2211yescharacteristic
60#16840314—21no—
61#16840314C2211yescharacteristic
62C2×#14519776C2211yescharacteristic
63C4⋊Q8×D61C2211yescharacteristic
64C4⋊Q8×D61C2211yescharacteristic
65#16840295—21no—
66#16840293C2211yescharacteristic
67#16840291—21no—
68#16840291C2211yescharacteristic
69#16840289—21no—
70#16840243C2211yescharacteristic
71#16840242C2211yescharacteristic
72#16840230C2211yescharacteristic
73C4×#11758224C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic
75#16840171C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840170C2211yescharacteristic
79#16840169C2211yescharacteristic
80#16840168C2211yescharacteristic
81#16840168C2211yescharacteristic
82#16840166C2211yescharacteristic
83#16840166C2211yescharacteristic
84#16840165C2211yescharacteristic
85#16840164C2211yescharacteristic
86#16840163C2211yescharacteristic
87#16840162C2211yescharacteristic
88#16840161C2211yescharacteristic
89#16840132C2211yescharacteristic
90#16840131C2211yescharacteristic
91#16840129C2211yescharacteristic
92#16840129C2211yescharacteristic
93#16840121C2211yescharacteristic
94#16840120C2211yescharacteristic
95#16840120C2211yescharacteristic
96#16840116C2211yescharacteristic
97#16840115C2211yescharacteristic
98#16840115C2211yescharacteristic
99#16840114C2211yescharacteristic
100#16840113C2211yescharacteristic
101#16840111C2211yescharacteristic
102#16840111C2211yescharacteristic
103#16840106C2211yescharacteristic
104#16840106C2211yescharacteristic
105#16840105C2211yescharacteristic
106#16840105C2211yescharacteristic
107#16840104C2211yescharacteristic
108#16840104C2211yescharacteristic
109#16840103C2211yescharacteristic
110#16840103C2211yescharacteristic
111#16840102C2211yescharacteristic
112#16840101C2211yescharacteristic
113#16840100C2211yescharacteristic
114#16840099C2211yescharacteristic
115#16840099C2211yescharacteristic
116#16840099C2211yescharacteristic
117#16840099C2211yescharacteristic
118#16840098C2211yescharacteristic
119#16840097C2211yescharacteristic
120#16840095C2211yescharacteristic
121#16840093C2211yescharacteristic
122#16840092C2211yescharacteristic
123#16840091C2211yescharacteristic
124#16840091C2211yescharacteristic
125#16840085C2211yescharacteristic
126#16840084C2211yescharacteristic
127#16840083C2211yescharacteristic
128#16840074C2211yescharacteristic
129#16840074C2211yescharacteristic
130#16840073C2211yescharacteristic
131#16840070C2211yescharacteristic
132#16840070C2211yescharacteristic
133#16840069C2211yescharacteristic
134#16840066C2211yescharacteristic
135#16840066C2211yescharacteristic
136#16840062C2211yescharacteristic
137#16840058C2211yescharacteristic
138#16840057C2211yescharacteristic
139#16840056C2211yescharacteristic
140#16840056C2211yescharacteristic
141#16840056C2211yescharacteristic
142#16840056C2211yescharacteristic
143#16840056C2211yescharacteristic
144#16840056C2211yescharacteristic
145#16840055C2211yescharacteristic
146#16840055C2211yescharacteristic
147#16840055C2211yescharacteristic
148#16840054C2211yescharacteristic
149#16840050C2211yescharacteristic
150#16840050C2211yescharacteristic
151#16840050C2211yescharacteristic
152#16840048C2211yescharacteristic
153#16840046C2211yescharacteristic
154#16840046C2211yescharacteristic
155#16840045C2211yescharacteristic
156#16840044C2211yescharacteristic
157#16840042C2211yescharacteristic
158#16840040C2211yescharacteristic
159#16839823C2211yescharacteristic
160#16839822C2211yescharacteristic
161#16839822C2211yescharacteristic
162#16839817C2211yescharacteristic
163#16839816C2211yescharacteristic
164#16839813C2211yescharacteristic
165#16839812C2211yescharacteristic
166#16839803C2211yescharacteristic
167#16839803C2211yescharacteristic
168#16839803C2211yescharacteristic
169#16839801C2211yescharacteristic
170#16839799C2211yescharacteristic
171#16839797C2211yescharacteristic
172#107×D61C2211yescharacteristic
173#107×D61C2211yescharacteristic
174#16839784C2211yescharacteristic
175C4⋊C8×D61C2211yescharacteristic
176#16839769C2211yescharacteristic
177#16839769C2211yescharacteristic
178#16839760C2211yescharacteristic
179#16839760C2211yescharacteristic
180#16839755C2211yescharacteristic
181#16839755C2211yescharacteristic
182#103×D61C2211yescharacteristic
183#103×D61C2211yescharacteristic
184#16839727C2211yescharacteristic
185#16839727C2211yescharacteristic
186#16839719C2211yescharacteristic
187#16839716C2211yescharacteristic
188C61×#544C2211yescharacteristic
189C61×#542C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#500C2211yescharacteristic
192C61×#489C2211yescharacteristic
193C61×#488C2211yescharacteristic
194C61×#485C2211yescharacteristic
195C61×#484C2211yescharacteristic
196C61×#482C2211yescharacteristic
197C61×#480C2211yescharacteristic
198C61×#479C2211yescharacteristic
199C61×#478C2211yescharacteristic
200C61×#477C2211yescharacteristic
201C61×#474C2211yescharacteristic
202C61×#433C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C22×Dic122—21no—
206C2×Q8×D61—21no—
207C2×Q8×D61—21no—
208C2×Q8×D61C2311yescharacteristic
209C2×#11758189C2311yescharacteristic
210C2×#11758189C2311yescharacteristic
211C2×C8×D61C2311yescharacteristic
212C2×C8×D61C2311yescharacteristic
213#14519777C2311yescharacteristic
214#14519777C2311yescharacteristic
215#14519777C2311yescharacteristic
216#14519776—21no—
217#14519776—21no—
218#14519776—21no—
219#14519776—21no—
220#14519776—21no—
221#14519776—21no—
222#14519776—21no—
223#14519776—21no—
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519775—21no—
232#14519775—21no—
233#14519775—21no—
234#14519775—21no—
235#14519775—21no—
236#14519775C2311yescharacteristic
237#14519772—21no—
238#14519771—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519769—21no—
245#14519769C2311yescharacteristic
246#14519769C2311yescharacteristic
247#14519769C2311yescharacteristic
248#14519768—21no—
249#14519768—21no—
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519767—21no—
262#14519764C2311yescharacteristic
263#14519763—21no—
264#14519763—21no—
265#14519762—21no—
266#14519760—21no—
267#14519759—21no—
268#14519759—21no—
269#14519759—21no—
270#14519759—21no—
271#14519758—21no—
272#14519757—21no—
273#14519757—21no—
274#14519757C2311yescharacteristic
275#14519757C2311yescharacteristic
276#14519756—21no—
277#14519756C2311yescharacteristic
278#14519756C2311yescharacteristic
279#14519755—21no—
280#14519755—21no—
281#14519755—21no—
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519754—21no—
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519754—21no—
296#14519753—21no—
297#14519753—21no—
298#14519753—21no—
299#14519753—21no—
300#14519753C2311yescharacteristic
301#14519750—21no—
302#14519749—21no—
303#14519748—21no—
304#14519748C2311yescharacteristic
305Q8×Dic61—21no—
306Q8×Dic61C2311yescharacteristic
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122C2311yescharacteristic
312C4×Dic122C2311yescharacteristic
313#14519742—21no—
314#14519742—21no—
315#14519742—21no—
316#14519742—21no—
317#14519742—21no—
318#14519742—21no—
319#14519742—21no—
320#14519742D411yescharacteristic
321#14519742D411yescharacteristic
322#14519742C2311yescharacteristic
323#14519742C2311yescharacteristic
324C4×D244—21no—
325D4×Dic61—21no—
326D4×Dic61C2311yescharacteristic
327#14519739—21no—
328#14519739D411yescharacteristic
329#14519739D411yescharacteristic
330C4×C22⋊D61—21no—
331C4×C22⋊D61—21no—
332C4×C22⋊D61—21no—
333#14519737—21no—
334#14519737—21no—
335#14519737—21no—
336#14519737—21no—
337#14519737D411yescharacteristic
338#14519737D411yescharacteristic
339#14519737D411yescharacteristic
340#14519737D411yescharacteristic
341#14519736C2311yescharacteristic
342#14519735—21no—
343#14519735C2311yescharacteristic
344#14519735C2311yescharacteristic
345#14519735C2311yescharacteristic
346#14519735C2311yescharacteristic
347#14519735C2311yescharacteristic
348#14519734C2311yescharacteristic
349#14519734C2311yescharacteristic
350#14519733—21no—
351#14519733—21no—
352#14519733—21no—
353#14519733—21no—
354C2×C4⋊Dic61C2311yescharacteristic
355C2×#11758196—21no—
356C4⋊C4×D61—21no—
357C4⋊C4×D61—21no—
358C4⋊C4×D61—21no—
359C4⋊C4×D61C2311yescharacteristic
360C4⋊C4×D61C2311yescharacteristic
361C4⋊C4×D61C2311yescharacteristic
362C4⋊C4×D61C2311yescharacteristic
363C4⋊C4×D61C2311yescharacteristic
364C2×C4×Dic61—21no—
365C2×C4×Dic61C2311yescharacteristic
366C42×D61—21no—
367C42×D61C2311yescharacteristic
368C42×D61C2311yescharacteristic
369#14519711C2311yescharacteristic
370#14519711C2311yescharacteristic
371#14519711C2311yescharacteristic
372#14519711C2311yescharacteristic
373#14519710C2311yescharacteristic
374#14519710C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C4⋊Q8×C61—21no—
436C4⋊Q8×C61C2311yescharacteristic
437C4⋊Q8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#125×C61—21no—
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443#124×C61—21no—
444#124×C61C2311yescharacteristic
445#123×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453#117×C61C2311yescharacteristic
454#117×C61C2311yescharacteristic
455C2×C4⋊C4×C61C2311yescharacteristic
456#107×C61C2311yescharacteristic
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×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
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61—21no—
483C2×D4×C61C2411yescharacteristic
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61C2411yescharacteristic
487C2×C22⋊D61—21no—
488C2×C22⋊D61—21no—
489C2×C22⋊D61C2×D411yescharacteristic
490C2×C22⋊D61C2×D411yescharacteristic
491C22×Dic61—21no—
492C22×Dic61—21no—
493C22×Dic61—21no—
494C22×Dic61C2×D411yescharacteristic
495C22×Dic61C2×D411yescharacteristic
496Q8×D61—22no—
497Q8×D61—22no—
498Q8×D61—82no—
499Q8×D61—82no—
500#11758224—22no—
501#11758224—22no—
502#11758222—22no—
503#11758222—22no—
504C2×D244C2×D411yescharacteristic
505C2×C4×D61—21no—
506C2×C4×D61—21no—
507C2×C4×D61—21no—
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61C2×D411yescharacteristic
512C2×C4×D61C2×D411yescharacteristic
513C2×C4×D61C2×D411yescharacteristic
514C2×C4×D61C2×D411yescharacteristic
515C2×C4×D61C2411yescharacteristic
516C2×C4×D61C2411yescharacteristic
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122—21no—
521C2×Dic122—21no—
522C2×Dic122—21no—
523C2×Dic122—21no—
524C2×Dic122—21no—
525C2×Dic122—21no—
526C2×Dic122—21no—
527C2×Dic122—82no—
528C2×Dic122C2×D411yescharacteristic
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×C61C2×D411yescharacteristic
546C4⋊C4×C61C2×D411yescharacteristic
547C4⋊C4×C61C2411yescharacteristic
548C4⋊C4×C61C2411yescharacteristic
549C4⋊C4×C61C2411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C4⋊C4×C61C2411yescharacteristic
552C4⋊C4×C61C2411yescharacteristic
553C22⋊C4×C61—21no—
554C22⋊C4×C61—21no—
555C22⋊C4×C61—21no—
556C22⋊C4×C61—21no—
557C22⋊C4×C61—21no—
558C22⋊C4×C61—21no—
559C22⋊C4×C61C2×D411yescharacteristic
560C22⋊C4×C61C2×D411yescharacteristic
561C42×C61—21no—
562C42×C61—21no—
563C42×C61C2411yescharacteristic
564C42×C61C2411yescharacteristic
565C22⋊Dic61—21no—
566C22⋊Dic61—21no—
567C22⋊Dic61—21no—
568C22⋊Dic61—21no—
569C22⋊Dic61—21no—
570C22⋊Dic61—21no—
571C22⋊Dic61—21no—
572#11758198—21no—
573#11758198—21no—
574#11758198—21no—
575#11758198—21no—
576#11758198—21no—
577#11758198—21no—
578#11758198—21no—
579#11758198—21no—
580#11758198C2×D411yescharacteristic
581#11758198C2×D411yescharacteristic
582#11758198C2×D411yescharacteristic
583#11758198C2×D411yescharacteristic
584C4⋊Dic61—21no—
585C4⋊Dic61—21no—
586C4⋊Dic61—21no—
587C4⋊Dic61—21no—
588C4⋊Dic61—21no—
589C4⋊Dic61—21no—
590C4⋊Dic61—21no—
591C4⋊Dic61—21no—
592C4⋊Dic61—21no—
593C4⋊Dic61—21no—
594C4⋊Dic61—21no—
595C4⋊Dic61C2411yescharacteristic
596C4⋊Dic61C2411yescharacteristic
597C4⋊Dic61C2411yescharacteristic
598C4⋊Dic61C2411yescharacteristic
599C4⋊Dic61C2411yescharacteristic
600C4⋊Dic61C2411yescharacteristic
601#11758196—21no—
602#11758196—21no—
603#11758196—21no—
604#11758196—21no—
605#11758196—21no—
606#11758196—21no—
607#11758196—21no—
608#11758196—21no—
609#11758196—21no—
610#11758196—21no—
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#11758196C2×D411yescharacteristic
632#11758196C2×D411yescharacteristic
633#11758196C2×D411yescharacteristic
634#11758196C2×D411yescharacteristic
635C4×Dic61—21no—
636C4×Dic61—21no—
637C4×Dic61—21no—
638C4×Dic61—21no—
639C4×Dic61—21no—
640C4×Dic61—21no—
641C4×Dic61—21no—
642C4×Dic61—21no—
643C4×Dic61—21no—
644C4×Dic61—21no—
645C4×Dic61—21no—
646C4×Dic61C2×D411yescharacteristic
647C4×Dic61C2×D411yescharacteristic
648C4×Dic61C2×D411yescharacteristic
649C4×Dic61C2×D411yescharacteristic
650C4×Dic61C2×D411yescharacteristic
651C4×Dic61C2×D411yescharacteristic
652C4×Dic61C2411yescharacteristic
653C4×Dic61C2411yescharacteristic
654C2×#92418C2411yescharacteristic
655C2×#92418C2411yescharacteristic
656C2×#92418C2411yescharacteristic
657C2×#92418C2411yescharacteristic
658#11758189—22no—
659#11758189—22no—
660C8×D61—22no—
661C8×D61—22no—
662C23×C61—21no—
663C23×C61C22×D411yescharacteristic
664C22×D61C22×D411yescharacteristic
665C22×D61C22×D411yescharacteristic
666Q8×C61—21no—
667Q8×C61—21no—
668Q8×C61—81no—
669Q8×C61—81no—
670Q8×C61—81no—
671D4×C61—21no—
672D4×C61—21no—
673D4×C61—81no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—81no—
684C2×C4×C61—81no—
685C2×C4×C61C22×D411yescharacteristic
686C2×C4×C61C22×D411yescharacteristic
687C2×C4×C61C22×D411yescharacteristic
688C2×C4×C61C22×D411yescharacteristic
689C2×C4×C61C22×D411yescharacteristic
690C2×C4×C61C2511yescharacteristic
691C22⋊D61—22no—
692C22⋊D61—22no—
693C22⋊D61—42no—
694C22⋊D61—81no—
695C2×Dic61—22no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—41no—
705C2×Dic61—42no—
706C2×Dic61—42no—
707C2×Dic61—81no—
708C2×Dic61C22×D411yescharacteristic
709C2×Dic61C22×D411yescharacteristic
710C2×Dic61C22×D411yescharacteristic
711C2×Dic61C22×D411yescharacteristic
712C2×Dic61C22×D411yescharacteristic
713C2×Dic61C22×D411yescharacteristic
714D244—22no—
715C4×D61—21no—
716C4×D61—21no—
717C4×D61—22no—
718C4×D61—22no—
719C4×D61—41no—
720C4×D61—41no—
721C4×D61—42no—
722C4×D61—81no—
723C4×D61—81no—
724C4×D61—81no—
725C4×D61—81no—
726C4×D61—81no—
727C4×D612−1+412yes—
728C4×D612−1+412yes—
729Dic122—22no—
730Dic122—21no—
731Dic122—21no—
732Dic122—21no—
733Dic122—21no—
734Dic122—42no—
735Dic122—42no—
736Dic122—42no—
737Dic122—42no—
738Dic122—42no—
739Dic122—81no—
740Dic122—81no—
741Dic122—81no—
742Dic122—81no—
743Dic122—81no—
744C8×C61—21no—
745C8×C61—21no—
746C8×C61—21no—
747C8×C61—21no—
748#92418—21no—
749#92418—21no—
750#92418—21no—
751#92418—21no—
752#60893—611nomaximal, Sylow
753C22×C61—21no—
754C22×C61—21no—
755C22×C61—21no—
756C22×C61—41no—
757C22×C61—41no—
758C22×C61—41no—
759C22×C61C23×D411yescharacteristic
760C2×D61—21no—
761C2×D61—21no—
762C2×D61—21no—
763C2×D61—21no—
764C2×D61—21no—
765C2×D61#53612yes—
766C4×C61—21no—
767C4×C61—21no—
768C4×C61—21no—
769C4×C61—21no—
770C4×C61—21no—
771C4×C61—41no—
772C4×C61—41no—
773C4×C61—41no—
774C4×C61—41no—
775C4×C61—41no—
776C4×C61—41no—
777C4×C61—41no—
778C4×C61C2×2−1+411yescharacteristic
779C4×C61C2×2−1+411yescharacteristic
780Dic61—21no—
781Dic61—21no—
782Dic61—21no—
783Dic61—21no—
784Dic61—41no—
785Dic61—41no—
786Dic61—41no—
787Dic61—41no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61#53612yes—
793Dic61#57812yes—
794#3503—611no—
795#3461—611no—
796#3243—611no—
797#3243—611no—
798#3243—611no—
799#3243D6111yescharacteristic, complemented
800#3242—611no—
801#3242—611no—
802#3242—611no—
803#3242—611no—
804#3238—611no—
805#3238—611no—
806#3237—611no—
807#3237—611no—
808#3233—611no—
809#3233—611no—
810#3230—611no—
811#3230—611no—
812#3164—611no—
813#3164—611no—
814#3137—611no—
815#3137—611no—
816#3098—611no—
817#3098—611no—
818#3097—611no—
819#3097—611no—
820#3079—611no—
821#3078—611no—
822#3076—611no—
823C2×#477—611no—
824#2925—611no—
825C2×C61—41no—
826C2×C61—81no—
827C2×C61C2×#53611yescharacteristic
828C2×C61C2×#57811yescharacteristic
829C2×C61#358511yescharacteristic
830D61—22no—
831D61—41no—
832Q82—1221no—
833#557—1221no—
834#554—1221no—
835#554—1221no—
836#554—1221no—
837D4×Q8—1221no—
838D4×Q8—1221no—
839D4×Q8—1221no—
840#544—611no—
841#544—611no—
842#544—611no—
843#544—611no—
844#544—611no—
845#544—611no—
846#544C2×D6111yescharacteristic
847#542—611no—
848#542—1221no—
849#542C2×D6111yescharacteristic
850#541—611no—
851#541—611no—
852#541—1221no—
853#539—1221no—
854#539—1221no—
855#537—611no—
856#536—611no—
857#536—611no—
858#533—611no—
859#533—611no—
860#533—611no—
861#533—611no—
862#533—611no—
863#533—1221no—
864C2×C4⋊Q8—611no—
865C2×C4⋊Q8—611no—
866C2×C4⋊Q8—611no—
867#529—611no—
868#529—611no—
869#529—1221no—
870#529—1221no—
871#529—1221no—
872#520—611no—
873#520—611no—
874C4×#41—611no—
875C4×#41—611no—
876C2×C4×Q8—611no—
877#501—611no—
878#501—611no—
879#501—611no—
880#501—611no—
881#501—611no—
882#501—611no—
883#501—611no—
884#501C2×D6111yescharacteristic
885#500—611no—
886#500—611no—
887#500—611no—
888#500C2×D6111yescharacteristic
889#499—611no—
890#499—611no—
891#499—611no—
892#499—611no—
893#491—611no—
894#491—611no—
895#491—611no—
896#491—611no—
897#489—611no—
898#489—611no—
899#489—611no—
900#489C2×D6111yescharacteristic
901#488—611no—
902#488—611no—
903#488—611no—
904#488C2×D6111yescharacteristic
905#487—611no—
906#487—611no—
907#487—611no—
908#487—611no—
909#485—611no—
910#485—611no—
911#485—611no—
912#485—611no—
913#485—611no—
914#485—611no—
915#485—611no—
916#485—611no—
917#485—611no—
918#485—611no—
919#485—611no—
920#485C2×D6111yescharacteristic
921#484—611no—
922#484—611no—
923#484—611no—
924#484—611no—
925#484—611no—
926#484—611no—
927#484—611no—
928#484C2×D6111yescharacteristic
929#483—611no—
930#483—611no—
931#483—611no—
932#483—611no—
933#482—611no—
934#482—611no—
935#482—611no—
936#482C2×D6111yescharacteristic
937#480—611no—
938#480—611no—
939#480—611no—
940#480C2×D6111yescharacteristic
941#479—611no—
942#479—611no—
943#479—611no—
944#479—611no—
945#479—611no—
946#479C2×D6111yescharacteristic
947#478—611no—
948#478C2×D6111yescharacteristic
949#477—611no—
950#477—611no—
951#477—611no—
952#477—611no—
953#477—611no—
954#477—611no—
955#477—611no—
956#477—611no—
957#477—611no—
958#477—611no—
959#477—611no—
960#477—611no—
961#477C2×D6111yescharacteristic
962#476—611no—
963#476—611no—
964#476—611no—
965#475—611no—
966#475—611no—
967#475—611no—
968#475—611no—
969#475—611no—
970#474—611no—
971#474—611no—
972#474C2×D6111yescharacteristic
973#433—611no—
974#433—611no—
975#433—611no—
976#433C2×D6111yescharacteristic
977#432—611no—
978#432—611no—
979#431—611no—
980#431—611no—
981#428—611no—
982#428—611no—
983#428—611no—
984#428—611no—
985#427—611no—
986#427—611no—
987C2×#107—611no—
988C2×#107—611no—
989#423—611no—
990C2×C4⋊C8—611no—
991#419—611no—
992#419—611no—
993#417—611no—
994#417—611no—
995#416—611no—
996#416—611no—
997C2×#103—611no—
998C2×#103—611no—
999#408—611no—
1000#408—611no—
1001#405—611no—
1002#405—611no—
1003C61#6089311yescharacteristic, complemented, Sylow
1004C2×#41—611no—
1005C2×#41—611no—
1006C22×Q8—611no—
1007C22×Q8—1221no—
1008C22×Q8—1221no—
1009C22×Q8—1221no—
1010C2×M16—611no—
1011C2×M16—611no—
1012C22×C8—611no—
1013C22×C8—611no—
1014C4⋊Q8—21no—
1015C4⋊Q8—611no—
1016C4⋊Q8—611no—
1017C4⋊Q8—611no—
1018C4⋊Q8—611no—
1019C4⋊Q8—611no—
1020C4⋊Q8—611no—
1021C4⋊Q8—611no—
1022C4⋊Q8—611no—
1023C4⋊Q8—611no—
1024C4⋊Q8—611no—
1025C4⋊Q8—611no—
1026C4⋊Q8—1221no—
1027C4⋊Q8—1221no—
1028C4⋊Q8—1221no—
1029C4⋊Q8—1221no—
1030C4⋊Q8—1221no—
1031C4⋊Q8—1221no—
1032C4⋊Q8—1221no—
1033C4⋊Q8—1221no—
1034C4⋊Q8—1221no—
1035C4⋊Q8—1221no—
1036C4⋊Q8—1221no—
1037C4⋊Q8—1221no—
1038C4⋊Q8—1221no—
1039C4⋊Q8C22×D6111yescharacteristic
1040C4⋊Q8C22×D6111yescharacteristic
1041C4⋊Q8C22×D6111yescharacteristic
1042#126—21no—
1043#126—1221no—
1044#126—1221no—
1045#126—1221no—
1046#126—1221no—
1047#126—1221no—
1048#126—1221no—
1049#126—1221no—
1050#125—21no—
1051#125—611no—
1052#125—611no—
1053#125—611no—
1054#125—611no—
1055#125—611no—
1056#125—611no—
1057#125—1221no—
1058#125—1221no—
1059#125—1221no—
1060#125—1221no—
1061#125—1221no—
1062#125—1221no—
1063#125—1221no—
1064#125—1221no—
1065#125—1221no—
1066#125—1221no—
1067#125—1221no—
1068#125—1221no—
1069#125C22×D6111yescharacteristic
1070#125C22×D6111yescharacteristic
1071#124—21no—
1072#124—611no—
1073#124—1221no—
1074#124—1221no—
1075#124C22×D6111yescharacteristic
1076#123—21no—
1077#123—1221no—
1078#123—1221no—
1079#123—1221no—
1080#123—1221no—
1081#123—1221no—
1082#123—1221no—
1083#123—1221no—
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—21no—
1087C22⋊Q8—611no—
1088C22⋊Q8—611no—
1089C22⋊Q8—611no—
1090C22⋊Q8—611no—
1091C22⋊Q8—611no—
1092C22⋊Q8—1221no—
1093C22⋊Q8—1221no—
1094C22⋊Q8—1221no—
1095C22⋊Q8—1221no—
1096C22⋊Q8—1221no—
1097C22⋊Q8—1221no—
1098C22⋊Q8—1221no—
1099C22⋊Q8—1221no—
1100C22⋊Q8—1221no—
1101C22⋊Q8—1221no—
1102C22⋊Q8—1221no—
1103C22⋊Q8—1221no—
1104C22⋊Q8—1221no—
1105C22⋊Q8—1221no—
1106C22⋊Q8—1221no—
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⋊Q8C22×D6111yescharacteristic
1117#121—611no—
1118#121—1221no—
1119#121—1221no—
1120#121—1221no—
1121#121C22×D6111yescharacteristic
1122C4×Q8—611no—
1123C4×Q8—611no—
1124C4×Q8—611no—
1125C4×Q8—611no—
1126C4×Q8—611no—
1127C4×Q8—611no—
1128C4×Q8—611no—
1129C4×Q8—1221no—
1130C4×Q8—1221no—
1131C4×Q8—1221no—
1132C4×Q8—1221no—
1133C4×Q8—1221no—
1134C4×Q8—1221no—
1135C4×Q8—1221no—
1136C4×Q8—1221no—
1137C4×Q8—1221no—
1138C4×Q8—1221no—
1139C4×Q8—1221no—
1140C4×Q8—1221no—
1141C4×Q8C22×D6111yescharacteristic
1142C4×D4—611no—
1143C4×D4—611no—
1144C4×D4—611no—
1145C4×D4—611no—
1146C4×D4—611no—
1147C4×D4—611no—
1148C4×D4—611no—
1149C4×D4—1221no—
1150C4×D4—1221no—
1151C4×D4—1221no—
1152C4×D4—1221no—
1153C4×D4—1221no—
1154C4×D4—1221no—
1155C4×D4—1221no—
1156C4×D4—1221no—
1157C4×D4—1221no—
1158C4×D4—1221no—
1159C4×D4C22×D6111yescharacteristic
1160#117—611no—
1161#117—611no—
1162#117—611no—
1163#117—611no—
1164#117—611no—
1165#117—611no—
1166#117—611no—
1167#117—611no—
1168#117—1221no—
1169#117—1221no—
1170#117—1221no—
1171#117—1221no—
1172#117—1221no—
1173#117C22×D6111yescharacteristic
1174#117C22×D6111yescharacteristic
1175C2×C4⋊C4—611no—
1176C2×C4⋊C4—611no—
1177C2×C4⋊C4—611no—
1178C2×C4⋊C4—611no—
1179C2×C4⋊C4—611no—
1180C2×C4⋊C4—611no—
1181C2×C4⋊C4—1221no—
1182C2×C4⋊C4—1221no—
1183C2×C4⋊C4—1221no—
1184C2×C4⋊C4—1221no—
1185C2×C4⋊C4C22×D6111yescharacteristic
1186C2×C42—611no—
1187C2×C42—611no—
1188C2×C42—611no—
1189C2×C42—1221no—
1190C2×C42—1221no—
1191#107—611no—
1192#107—611no—
1193#107—611no—
1194#107—611no—
1195#107—611no—
1196#107—611no—
1197#107—611no—
1198#107—611no—
1199#107—611no—
1200#107—611no—
1201#107—611no—
1202#107—611no—
1203#107—611no—
1204#107—611no—
1205#107C22×D6111yescharacteristic
1206#107C22×D6111yescharacteristic
1207#107C22×D6111yescharacteristic
1208#107C22×D6111yescharacteristic
1209#107C22×D6111yescharacteristic
1210#107C22×D6111yescharacteristic
1211#106—611no—
1212#106—611no—
1213#106—611no—
1214#106—611no—
1215#106—611no—
1216#106—611no—
1217#106—611no—
1218#106—611no—
1219#106—611no—
1220#106—611no—
1221#106C22×D6111yescharacteristic
1222#106C22×D6111yescharacteristic
1223C4⋊C8—611no—
1224C4⋊C8—611no—
1225C4⋊C8—611no—
1226C4⋊C8—611no—
1227C4⋊C8—611no—
1228C4⋊C8—611no—
1229C4⋊C8C22×D6111yescharacteristic
1230C4⋊C8C22×D6111yescharacteristic
1231#103—611no—
1232#103—611no—
1233#103—611no—
1234#103—611no—
1235#103—611no—
1236#103—611no—
1237#103—611no—
1238#103—611no—
1239#103—611no—
1240#103—611no—
1241#103—611no—
1242#103—611no—
1243#103—611no—
1244#103—611no—
1245#103—611no—
1246#103—611no—
1247#103—611no—
1248#103—611no—
1249#103—611no—
1250#103—611no—
1251#103C22×D6111yescharacteristic
1252#103C22×D6111yescharacteristic
1253#103C22×D6111yescharacteristic
1254#103C22×D6111yescharacteristic
1255#102—611no—
1256#102—611no—
1257#102—611no—
1258#102—611no—
1259#102C22×D6111yescharacteristic
1260#102C22×D6111yescharacteristic
1261#102C22×D6111yescharacteristic
1262#102C22×D6111yescharacteristic
1263C22⋊C8—611no—
1264C22⋊C8—611no—
1265C22⋊C8—611no—
1266C22⋊C8—611no—
1267C22⋊C8—611no—
1268C22⋊C8—611no—
1269C22⋊C8C22×D6111yescharacteristic
1270C22⋊C8C22×D6111yescharacteristic
1271#97—611no—
1272#97—611no—
1273#97—611no—
1274#97C22×D6111yescharacteristic
1275C4×C8—611no—
1276C4×C8—611no—
1277C4×C8—611no—
1278C4×C8C22×D6111yescharacteristic
1279#41—1222no—
1280#41—1222no—
1281#41—1222no—
1282#41—1222no—
1283C2×Q8—21no—
1284C2×Q8—21no—
1285C2×Q8—21no—
1286C2×Q8—611no—
1287C2×Q8—611no—
1288C2×Q8—611no—
1289C2×Q8—1221no—
1290C2×Q8—1221no—
1291C2×Q8—1221no—
1292C2×Q8—1221no—
1293C2×Q8—1221no—
1294C2×Q8—1221no—
1295C2×Q8—1221no—
1296C2×Q8—1221no—
1297C2×Q8—1222no—
1298C2×Q8—1222no—
1299C2×Q8—1221no—
1300C2×Q8—1221no—
1301C2×Q8—4882no—
1302C2×Q8—4882no—
1303C2×Q8—4882no—
1304C2×Q8C23×D6111yescharacteristic
1305C2×D4—21no—
1306C2×D4—611no—
1307C2×D4—611no—
1308C2×D4—611no—
1309C2×D4—1221no—
1310C2×D4—1221no—
1311C2×D4C23×D6111yescharacteristic
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—611no—
1315C22×C4—611no—
1316C22×C4—611no—
1317C22×C4—611no—
1318C22×C4—611no—
1319C22×C4—611no—
1320C22×C4—611no—
1321C22×C4—611no—
1322C22×C4—1221no—
1323C22×C4—1221no—
1324C22×C4—1221no—
1325C22×C4—1221no—
1326C22×C4—1221no—
1327C22×C4—1221no—
1328C22×C4—1221no—
1329C22×C4—1221no—
1330C22×C4—1221no—
1331C22×C4C23×D6111yescharacteristic
1332M16—1222no—
1333M16—1222no—
1334C2×C8—611no—
1335C2×C8—611no—
1336C2×C8—611no—
1337C2×C8—611no—
1338C2×C8—1222no—
1339C2×C8—1222no—
1340C2×C8C23×D6111yescharacteristic
1341C2×C8C23×D6111yescharacteristic
1342C2×C8C23×D6111yescharacteristic
1343C2×C8C23×D6111yescharacteristic
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—611no—
1355C4⋊C4—611no—
1356C4⋊C4—611no—
1357C4⋊C4—611no—
1358C4⋊C4—611no—
1359C4⋊C4—611no—
1360C4⋊C4—611no—
1361C4⋊C4—611no—
1362C4⋊C4—611no—
1363C4⋊C4—611no—
1364C4⋊C4—1221no—
1365C4⋊C4—1221no—
1366C4⋊C4—1221no—
1367C4⋊C4—1221no—
1368C4⋊C4—1221no—
1369C4⋊C4—1221no—
1370C4⋊C4—1221no—
1371C4⋊C4—1221no—
1372C4⋊C4—1221no—
1373C4⋊C4—1221no—
1374C4⋊C4—1221no—
1375C4⋊C4—1221no—
1376C4⋊C4—1221no—
1377C4⋊C4—1221no—
1378C4⋊C4—1221no—
1379C4⋊C4—1221no—
1380C4⋊C4—1221no—
1381C4⋊C4—1221no—
1382C4⋊C4—1221no—
1383C4⋊C4—1221no—
1384C4⋊C4—1221no—
1385C4⋊C4—1221no—
1386C4⋊C4—1221no—
1387C4⋊C4—1221no—
1388C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1406C4⋊C4D4×D6111yescharacteristic
1407C4⋊C4C23×D6111yescharacteristic
1408C4⋊C4C23×D6111yescharacteristic
1409C4⋊C4C23×D6111yescharacteristic
1410C4⋊C4C23×D6111yescharacteristic
1411C4⋊C4C23×D6111yescharacteristic
1412C4⋊C4C23×D6111yescharacteristic
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—611no—
1420C22⋊C4—611no—
1421C22⋊C4—611no—
1422C22⋊C4—611no—
1423C22⋊C4—1221no—
1424C22⋊C4—1221no—
1425C22⋊C4—1221no—
1426C22⋊C4—1221no—
1427C22⋊C4—1221no—
1428C22⋊C4—1221no—
1429C22⋊C4—1221no—
1430C22⋊C4—1221no—
1431C22⋊C4—1221no—
1432C22⋊C4—1221no—
1433C22⋊C4—1221no—
1434C22⋊C4—1221no—
1435C22⋊C4—1221no—
1436C22⋊C4—1221no—
1437C22⋊C4—1221no—
1438C22⋊C4D4×D6111yescharacteristic
1439C22⋊C4D4×D6111yescharacteristic
1440C42—21no—
1441C42—21no—
1442C42—611no—
1443C42—611no—
1444C42—611no—
1445C42—611no—
1446C42—611no—
1447C42—611no—
1448C42—611no—
1449C42—611no—
1450C42—1221no—
1451C42—1221no—
1452C42—1221no—
1453C42—1221no—
1454C42—1221no—
1455C42—1221no—
1456C42—1221no—
1457C42—1221no—
1458C42—1221no—
1459C42—1221no—
1460C42—1221no—
1461C42C23×D6111yescharacteristic
1462C42C23×D6111yescharacteristic
1463C23—21no—
1464C23—611no—
1465C23—611no—
1466C23C2×D4×D6111yescharacteristic
1467Q8—21no—
1468Q8—21no—
1469Q8—81no—
1470Q8—81no—
1471Q8—81no—
1472Q8—1222no—
1473Q8—1221no—
1474Q8—1221no—
1475Q8—1221no—
1476Q8—1221no—
1477Q8—4881no—
1478Q8—4881no—
1479Q8—4881no—
1480Q8—4881no—
1481Q8—4881no—
1482Q8—2442no—
1483Q8—2442no—
1484Q8—2442no—
1485Q8—2442no—
1486Q8—2442no—
1487D4—21no—
1488D4—21no—
1489D4—81no—
1490D4—1222no—
1491D4—1222no—
1492D4—1222no—
1493D4—4881no—
1494D4—2442no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—81no—
1505C2×C4—81no—
1506C2×C4—611no—
1507C2×C4—611no—
1508C2×C4—612no—
1509C2×C4—612no—
1510C2×C4—611no—
1511C2×C4—611no—
1512C2×C4—611no—
1513C2×C4—611no—
1514C2×C4—1222no—
1515C2×C4—1222no—
1516C2×C4—1222no—
1517C2×C4—1221no—
1518C2×C4—1221no—
1519C2×C4—1221no—
1520C2×C4—1221no—
1521C2×C4—1221no—
1522C2×C4—1221no—
1523C2×C4—1221no—
1524C2×C4—1221no—
1525C2×C4—1221no—
1526C2×C4—1221no—
1527C2×C4—4881no—
1528C2×C4—4881no—
1529C2×C4—4881no—
1530C2×C4—4881no—
1531C2×C4—4881no—
1532C2×C4—4881no—
1533C2×C4—2441no—
1534C2×C4—2441no—
1535C2×C4—2442no—
1536C2×C4—2442no—
1537C2×C4—2442no—
1538C2×C4—2441no—
1539C2×C4C2×D4×D6111yescharacteristic
1540C2×C4C2×D4×D6111yescharacteristic
1541C2×C4C2×D4×D6111yescharacteristic
1542C2×C4C2×D4×D6111yescharacteristic
1543C2×C4C2×D4×D6111yescharacteristic
1544C2×C4C24×D6111yescharacteristic
1545C8—21no—
1546C8—21no—
1547C8—21no—
1548C8—21no—
1549C8—1221no—
1550C8—1221no—
1551C8—1221no—
1552C8—1221no—
1553C22—21no—
1554C22—21no—
1555C22—21no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—612no—
1560C22—1221no—
1561C22—1221no—
1562C22—1221no—
1563C22—1221no—
1564C22—1221no—
1565C22C22×D4×D6111yescharacteristic
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—21no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—612no—
1579C4—612no—
1580C4—1221no—
1581C4—1221no—
1582C4—1221no—
1583C4—1221no—
1584C4—2441no—
1585C4—2441no—
1586C4—2441no—
1587C4—2441no—
1588C4—2441no—
1589C4—2441no—
1590C4—2441no—
1591C4—2441no—
1592C42−1+4×D6111yescharacteristic
1593C42−1+4×D6111yescharacteristic
1594C2—41no—
1595C2—81no—
1596C2—1222no—
1597C2—2441no—
1598C2#536×D6111yescharacteristic
1599C2#578×D6111yescharacteristic
1600C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3243C2
socleC22×C61C23×D4
prime radical#16840341C22
hypercenter#3243D61
hypocenterC61#60893
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3243

Complements

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

NH ≅ G/Ntype
1. #21459634C2semidirect
3. #21457101C2semidirect
4. #21457099C2semidirect
5. #21457096C2semidirect
6. #21457089C2semidirect
7. #21457087C2semidirect
8. #21457086C2semidirect
9. #21457084C2semidirect
10. #21457038C2semidirect
11. #21457036C2semidirect
12. #21457034C2semidirect
13. #21457030C2semidirect
14. #21456995C2semidirect
15. #21456993C2semidirect
16. #21456971C2semidirect
17. #21456968C2semidirect
18. #21456354C2semidirect
19. #21456352C2semidirect
20. #21456183C2semidirect
21. #21456181C2semidirect
24. #21455787C2semidirect
25. #21455785C2semidirect
26. #21455627C2semidirect
27. #21455622C2semidirect
28. #21455604C2semidirect
29. #477×D61C2semidirect
30. #21454482C2semidirect
31. C61×#3243C2semidirect
799. #3243D61semidirect
1003. C61#60893semidirect

Maximal subgroups

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

subgroupindex
#214596342
#214592452
#214571012
#214570992
#214570962
#214570892
#214570872
#214570862
#214570842
#214570382
#214570362
#214570342
#214570302
#214569952
#214569932
#214569712
#214569682
#214563542
#214563522
#214561832
#214561812
#214557942
#214557922
#214557872
#214557852
#214556272
#214556222
#214556042
#477×D612
#214544822
C61×#32432
#6089361