Finite Group Databasebeta

← #30570985

Subgroups — #30570985

Order 15616.

1656 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460316C211yesmaximal, characteristic, complemented
2#21459633C211yesmaximal, characteristic, complemented
3#21458786C211yesmaximal, characteristic, complemented
4#21458778C211yesmaximal, characteristic, complemented
5#21458764C211yesmaximal, characteristic, complemented
6#21458761C211yesmaximal, characteristic, complemented
7#21458753C211yesmaximal, characteristic, complemented
8#21458741C211yesmaximal, characteristic, complemented
9#21458724C211yesmaximal, characteristic, complemented
10#21458716C211yesmaximal, characteristic, complemented
11#21458667C211yesmaximal, characteristic, complemented
12#21458643C211yesmaximal, characteristic, complemented
13#21458629C211yesmaximal, characteristic, complemented
14#21458615C211yesmaximal, characteristic, complemented
15#21458582C211yesmaximal, characteristic, complemented
16#21458556C211yesmaximal, characteristic, complemented
17#21458532C211yesmaximal, characteristic, complemented
18#21457110C211yesmaximal, characteristic, complemented
19#21457101C211yesmaximal, characteristic, complemented
20#21457084C211yesmaximal, characteristic, complemented
21#21457067C211yesmaximal, characteristic, complemented
22#21457048C211yesmaximal, characteristic, complemented
23#21457036C211yesmaximal, characteristic, complemented
24#21456093C211yesmaximal, characteristic, complemented
25#21456077C211yesmaximal, characteristic, complemented
26#21456037C211yesmaximal, characteristic, complemented
27#21456015C211yesmaximal, characteristic
28#21455925C211yesmaximal, characteristic, complemented
29#21455924C211yesmaximal, characteristic, complemented
30#21454922C211yesmaximal, characteristic, complemented
31C61×#3370C211yesmaximal, characteristic, complemented
32#16840515—21no—
33#16840512—21no—
34#16840498C2211yescharacteristic
35Q8×Dic122C2211yescharacteristic
36#16840492C2211yescharacteristic
37#16840490C2211yescharacteristic
38#16840489C2211yescharacteristic
39#16840489C2211yescharacteristic
40#16840488C2211yescharacteristic
41#16840481C2211yescharacteristic
42#16840481C2211yescharacteristic
43#16840471C2211yescharacteristic
44#16840470—21no—
45#16840469C2211yescharacteristic
46#16840469C2211yescharacteristic
47#16840467—21no—
48#16840452—21no—
49#16840449—21no—
50D4×Dic122C2211yescharacteristic
51D4×Dic122C2211yescharacteristic
52#16840425—21no—
53#16840425—21no—
54#16840392C2211yescharacteristic
55#16840392C2211yescharacteristic
56#16840391—21no—
57#16840391—21no—
58#16840381C2211yescharacteristic
59#16840380—21no—
60#16840377C2211yescharacteristic
61#16840376—21no—
62#16840370C2211yescharacteristic
63#16840366C2211yescharacteristic
64#16840356—21no—
65#16840354—21no—
66#16840316C2211yescharacteristic
67#16840314—21no—
68C2×#14519776—21no—
69C4⋊Q8×D61C2211yescharacteristic
70#16840294C2211yescharacteristic
71#16840291C2211yescharacteristic
72#16840241C2211yescharacteristic
73#16840241C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840171C2211yescharacteristic
78#16840170C2211yescharacteristic
79#16840170C2211yescharacteristic
80#16840170C2211yescharacteristic
81#16840169C2211yescharacteristic
82#16840168C2211yescharacteristic
83#16840166C2211yescharacteristic
84#16840162C2211yescharacteristic
85#16840161C2211yescharacteristic
86#16840160C2211yescharacteristic
87#16840129C2211yescharacteristic
88#16840121C2211yescharacteristic
89#16840121C2211yescharacteristic
90#16840120C2211yescharacteristic
91#16840120C2211yescharacteristic
92#16840120C2211yescharacteristic
93#16840115C2211yescharacteristic
94#16840111C2211yescharacteristic
95#16840108C2211yescharacteristic
96#16840106C2211yescharacteristic
97#16840101C2211yescharacteristic
98#16840099C2211yescharacteristic
99#16840099C2211yescharacteristic
100#16840091C2211yescharacteristic
101#16840091C2211yescharacteristic
102#16840085C2211yescharacteristic
103#16840084C2211yescharacteristic
104#16840079C2211yescharacteristic
105#16840079C2211yescharacteristic
106#16840074C2211yescharacteristic
107#16840074C2211yescharacteristic
108#16840072C2211yescharacteristic
109#16840070C2211yescharacteristic
110#16840070C2211yescharacteristic
111#16840068C2211yescharacteristic
112#16840067C2211yescharacteristic
113#16840066C2211yescharacteristic
114#16840066C2211yescharacteristic
115#16840064C2211yescharacteristic
116#16840064C2211yescharacteristic
117#16840064C2211yescharacteristic
118#16840064C2211yescharacteristic
119#16840062C2211yescharacteristic
120#16840062C2211yescharacteristic
121#16840060C2211yescharacteristic
122#16840058C2211yescharacteristic
123#16840057C2211yescharacteristic
124#16840056C2211yescharacteristic
125#16840055C2211yescharacteristic
126#16840055C2211yescharacteristic
127#16840052C2211yescharacteristic
128#16840050C2211yescharacteristic
129#16840050C2211yescharacteristic
130#16840050C2211yescharacteristic
131#16840050C2211yescharacteristic
132#16840048C2211yescharacteristic
133#16840048C2211yescharacteristic
134#16840048C2211yescharacteristic
135#16840045C2211yescharacteristic
136#16840044C2211yescharacteristic
137#16840042C2211yescharacteristic
138#16840042C2211yescharacteristic
139#16840040C2211yescharacteristic
140#16840040C2211yescharacteristic
141#16839983C2211yescharacteristic
142#16839983C2211yescharacteristic
143#16839981C2211yescharacteristic
144#16839981C2211yescharacteristic
145#16839975C2211yescharacteristic
146#16839975C2211yescharacteristic
147#16839971C2211yescharacteristic
148#16839965C2211yescharacteristic
149#16839959C2211yescharacteristic
150#16839925C2211yescharacteristic
151#16839921C2211yescharacteristic
152#16839904C2211yescharacteristic
153#16839904C2211yescharacteristic
154#16839893C2211yescharacteristic
155#16839892C2211yescharacteristic
156#16839891C2211yescharacteristic
157#16839891C2211yescharacteristic
158#16839890C2211yescharacteristic
159#16839890C2211yescharacteristic
160#16839889C2211yescharacteristic
161#16839874C2211yescharacteristic
162#16839874C2211yescharacteristic
163#16839874C2211yescharacteristic
164#16839870C2211yescharacteristic
165#16839870C2211yescharacteristic
166#16839866C2211yescharacteristic
167#16839866C2211yescharacteristic
168#16839863C2211yescharacteristic
169#16839862C2211yescharacteristic
170#16839862C2211yescharacteristic
171#16839862C2211yescharacteristic
172#16839862C2211yescharacteristic
173#16839859C2211yescharacteristic
174#16839859C2211yescharacteristic
175C4×Dic244C2211yescharacteristic
176C4×#11758202C2211yescharacteristic
177#16839853C2211yescharacteristic
178#16839853C2211yescharacteristic
179SD16×Dic61C2211yescharacteristic
180C4×#11758200C2211yescharacteristic
181D8×Dic61C2211yescharacteristic
182#16839824C2211yescharacteristic
183#16839822C2211yescharacteristic
184#16839822C2211yescharacteristic
185#16839821C2211yescharacteristic
186#16839818C2211yescharacteristic
187#16839817C2211yescharacteristic
188C61×#559C2211yescharacteristic
189C61×#554C2211yescharacteristic
190C61×#490C2211yescharacteristic
191C61×#489C2211yescharacteristic
192C61×#488C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#474C2211yescharacteristic
196C61×#463C2211yescharacteristic
197C61×#463C2211yescharacteristic
198C61×#459C2211yescharacteristic
199C61×#446C2211yescharacteristic
200C61×#442C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C4×D8×C61C2211yescharacteristic
203C2×#11758224C2311yescharacteristic
204C22×Dic122—21no—
205C22×Dic122—21no—
206C2×Q8×D61—21no—
207C2×Dic244C2311yescharacteristic
208C2×#11758202C2311yescharacteristic
209C2×#11758200C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212#14519777C2311yescharacteristic
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#14519776—21no—
225#14519776—21no—
226#14519776D411yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519775—21no—
233#14519775—21no—
234#14519775—21no—
235#14519775—21no—
236#14519775D411yescharacteristic
237#14519775C2311yescharacteristic
238#14519772—21no—
239#14519771—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770—21no—
247#14519770—21no—
248#14519769—21no—
249#14519769—21no—
250#14519769C2311yescharacteristic
251#14519769C2311yescharacteristic
252#14519768—21no—
253#14519768C2311yescharacteristic
254#14519768C2311yescharacteristic
255#14519768C2311yescharacteristic
256#14519768C2311yescharacteristic
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767D411yescharacteristic
267#14519767D411yescharacteristic
268#14519764—21no—
269#14519764C2311yescharacteristic
270#14519764C2311yescharacteristic
271#14519763—21no—
272#14519763—21no—
273#14519761—21no—
274#14519760—21no—
275#14519759—21no—
276#14519759—21no—
277#14519758—21no—
278#14519758—21no—
279#14519758—21no—
280#14519758—21no—
281#14519757—21no—
282#14519757—21no—
283#14519757D411yescharacteristic
284#14519757C2311yescharacteristic
285#14519756—21no—
286#14519756—21no—
287#14519756—21no—
288#14519756—21no—
289#14519756—21no—
290#14519756—21no—
291#14519755—21no—
292#14519755—21no—
293#14519755D411yescharacteristic
294#14519755D411yescharacteristic
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754—21no—
299#14519754—21no—
300#14519754—21no—
301#14519754—21no—
302#14519754—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519754—21no—
308#14519753D411yescharacteristic
309#14519753C2311yescharacteristic
310#14519749—21no—
311#14519749—21no—
312#14519748C2311yescharacteristic
313#14519748C2311yescharacteristic
314Q8×Dic61—21no—
315Q8×Dic61C2311yescharacteristic
316Q8×Dic61C2311yescharacteristic
317C4×Dic122—21no—
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327#14519742—21no—
328#14519742—21no—
329#14519742—21no—
330#14519742—21no—
331#14519742C2311yescharacteristic
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334D4×Dic61—21no—
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519737—21no—
350#14519736—21no—
351#14519735C2311yescharacteristic
352#14519734C2311yescharacteristic
353#14519734C2311yescharacteristic
354#14519733—21no—
355#14519733—21no—
356#14519733—21no—
357#14519733—21no—
358#14519733—21no—
359#14519733—21no—
360C2×C4⋊Dic61—21no—
361C2×C4⋊Dic61—21no—
362C2×#11758196—21no—
363C2×#11758196—21no—
364C2×#11758196—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C2×C4×Dic61—21no—
369C42×D61C2311yescharacteristic
370#14519711C2311yescharacteristic
371#14519711C2311yescharacteristic
372#14519711C2311yescharacteristic
373#14519710C2311yescharacteristic
374#14519710C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519709C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392C4⋊#92418C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
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×SD16×C61C2311yescharacteristic
436C2×D8×C61C2311yescharacteristic
437C2×D8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#127×C61C2311yescharacteristic
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442#124×C61—21no—
443#124×C61C2311yescharacteristic
444#124×C61C2311yescharacteristic
445#123×C61—21no—
446#123×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61—21no—
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C2×C4⋊C4×C61—21no—
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462C4⋊C8×C61C2311yescharacteristic
463C4⋊C8×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#102×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×C61C2×D411yescharacteristic
480C2×Q8×C61C2411yescharacteristic
481C2×D4×C61—21no—
482C2×D4×C61—21no—
483C2×D4×C61C2411yescharacteristic
484C2×D4×C61C2411yescharacteristic
485C2×D4×C61C2411yescharacteristic
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C22×Dic61—21no—
495C22×Dic61—21no—
496C22×Dic61—21no—
497C22×Dic61—21no—
498C22×Dic61—21no—
499C22×Dic61—21no—
500C22×Dic61—21no—
501C22×Dic61—21no—
502Q8×D61—82no—
503#11758224—22no—
504#11758224—22no—
505C2×C4×D61—21no—
506C2×C4×D61—21no—
507C2×C4×D61C2×D411yescharacteristic
508C2×C4×D61C2×D411yescharacteristic
509C2×C4×D61C2411yescharacteristic
510C2×Dic122—21no—
511C2×Dic122—21no—
512C2×Dic122—21no—
513C2×Dic122—21no—
514C2×Dic122—21no—
515C2×Dic122—21no—
516C2×Dic122—21no—
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—82no—
520C2×Dic122—82no—
521C2×Dic122C2×D411yescharacteristic
522C2×Dic122C2×D411yescharacteristic
523C2×Dic122C2×D411yescharacteristic
524C2×Dic122C2411yescharacteristic
525C2×Dic122C2411yescharacteristic
526SD16×C61—22no—
527D8×C61—22no—
528D8×C61—22no—
529C2×C8×C61C2411yescharacteristic
530C2×C8×C61C2411yescharacteristic
531C2×C8×C61C2411yescharacteristic
532C2×C8×C61C2411yescharacteristic
533C4⋊C4×C61—21no—
534C4⋊C4×C61—21no—
535C4⋊C4×C61—21no—
536C4⋊C4×C61—21no—
537C4⋊C4×C61—21no—
538C4⋊C4×C61—21no—
539C4⋊C4×C61C2×D411yescharacteristic
540C4⋊C4×C61C2×D411yescharacteristic
541C4⋊C4×C61C2×D411yescharacteristic
542C4⋊C4×C61C2411yescharacteristic
543C4⋊C4×C61C2411yescharacteristic
544C4⋊C4×C61C2411yescharacteristic
545C4⋊C4×C61C2411yescharacteristic
546C22⋊C4×C61—21no—
547C22⋊C4×C61—21no—
548C22⋊C4×C61—21no—
549C22⋊C4×C61—21no—
550C22⋊C4×C61—21no—
551C22⋊C4×C61—21no—
552C22⋊C4×C61—21no—
553C22⋊C4×C61—21no—
554C22⋊C4×C61—21no—
555C42×C61—21no—
556C42×C61C2411yescharacteristic
557C42×C61C2411yescharacteristic
558C42×C61C2411yescharacteristic
559C22⋊Dic61—21no—
560C22⋊Dic61—21no—
561C22⋊Dic61—21no—
562C22⋊Dic61—21no—
563C22⋊Dic61—21no—
564C22⋊Dic61—21no—
565C22⋊Dic61—21no—
566C22⋊Dic61—21no—
567C22⋊Dic61—21no—
568C22⋊Dic61—21no—
569C22⋊Dic61—21no—
570C22⋊Dic61—21no—
571C22⋊Dic61—21no—
572#11758202—22no—
573#11758200—22no—
574#11758200—22no—
575#11758200—22no—
576#11758198—21no—
577#11758198—21no—
578#11758198—21no—
579#11758198C2×D411yescharacteristic
580#11758198C2×D411yescharacteristic
581#11758198C2×D411yescharacteristic
582#11758198C2×D411yescharacteristic
583C4⋊Dic61—21no—
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⋊Dic61C2×D411yescharacteristic
595C4⋊Dic61C2×D411yescharacteristic
596C4⋊Dic61C2×D411yescharacteristic
597C4⋊Dic61C2411yescharacteristic
598C4⋊Dic61C2411yescharacteristic
599C4⋊Dic61C2411yescharacteristic
600C4⋊Dic61C2411yescharacteristic
601C4⋊Dic61C2411yescharacteristic
602C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
631#11758196C2×D411yescharacteristic
632#11758196C2×D411yescharacteristic
633#11758196C2×D411yescharacteristic
634#11758196C2×D411yescharacteristic
635#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
637#11758196C2×D411yescharacteristic
638#11758196C2×D411yescharacteristic
639#11758196C2×D411yescharacteristic
640C4×Dic61—21no—
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×Dic61C2411yescharacteristic
655C4×Dic61C2411yescharacteristic
656C4×Dic61C2411yescharacteristic
657C2×#92418C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661Dic244—22no—
662C23×C61—21no—
663C23×C61—21no—
664C23×C61—21no—
665C22×D61C22×D411yescharacteristic
666Q8×C61—21no—
667Q8×C61—21no—
668Q8×C61—41no—
669Q8×C61—81no—
670D4×C61—21no—
671D4×C61—21no—
672D4×C61—21no—
673D4×C61—21no—
674D4×C61—21no—
675D4×C61—81no—
676D4×C61—81no—
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—42no—
684C2×C4×C61—81no—
685C2×C4×C61—81no—
686C2×C4×C61—81no—
687C2×C4×C61—81no—
688C2×C4×C61C22×D411yescharacteristic
689C2×C4×C61C22×D411yescharacteristic
690C2×C4×C61C22×D411yescharacteristic
691C2×C4×C61C22×D411yescharacteristic
692C2×C4×C61C22×D411yescharacteristic
693C2×C4×C61C22×D411yescharacteristic
694C2×C4×C61C2511yescharacteristic
695C22⋊D61—24no—
696C22⋊D61—81no—
697C22⋊D61—81no—
698C2×Dic61—24no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—42no—
708C2×Dic61—81no—
709C2×Dic61—81no—
710C2×Dic61—81no—
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
721C4×D61—21no—
722C4×D61—21no—
723C4×D61—41no—
724C4×D61—41no—
725C4×D61—81no—
726C4×D61—81no—
727Dic122—21no—
728Dic122—21no—
729Dic122—21no—
730Dic122—41no—
731Dic122—41no—
732Dic122—41no—
733Dic122—42no—
734Dic122—42no—
735Dic122—81no—
736Dic122—81no—
737Dic122—81no—
738Dic122—81no—
739Dic122—81no—
740Dic122—81no—
741Dic122—81no—
742Dic1222−1+412yes—
743C8×C61—21no—
744C8×C61—21no—
745C8×C61—21no—
746C8×C61—21no—
747#92418—21no—
748#92418—21no—
749#92418—21no—
750#92418—21no—
751#61879—611nomaximal, Sylow
752C22×C61—22no—
753C22×C61—41no—
754C22×C61—41no—
755C22×C61—41no—
756C22×C61—41no—
757C22×C61—41no—
758C22×C61—41no—
759C22×C61—41no—
760C22×C61—41no—
761C22×C61C23×D411yescharacteristic
762C2×D61—21no—
763C2×D61—21no—
764C2×D61—21no—
765C4×C61—21no—
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×C61C2×2−1+411yescharacteristic
777C4×C61C2×2−1+411yescharacteristic
778Dic61—21no—
779Dic61—21no—
780Dic61—21no—
781Dic61—21no—
782Dic61—21no—
783Dic61—21no—
784Dic61—22no—
785Dic61—21no—
786Dic61—41no—
787Dic61—41no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793#3557—611no—
794#3503—611no—
795#3390—611no—
796#3389—611no—
797#3388—611no—
798#3388—611no—
799#3387—611no—
800#3386—611no—
801#3385—611no—
802#3384—611no—
803#3377—611no—
804#3376—611no—
805#3375—611no—
806#3373—611no—
807#3371—611no—
808#3370D6111yescharacteristic, complemented
809#3369—611no—
810#3367—611no—
811#3244—611no—
812#3243—611no—
813#3242—611no—
814#3241—611no—
815#3239—611no—
816#3238—611no—
817#3125—611no—
818#3124—611no—
819#3120—611no—
820#3119—611no—
821#3111—611no—
822#3111—611no—
823#2987—611no—
824C2×C61—42no—
825C2×C61—81no—
826C2×C61—81no—
827C2×C61#348611yescharacteristic
828C2×C61#358511yescharacteristic
829C2×C61#358611yescharacteristic
830D61—41no—
831#563—1221no—
832#563—1221no—
833#559—611no—
834#559C2×D6111yescharacteristic
835Q82—611no—
836Q82—611no—
837#557—611no—
838#557—611no—
839#557—611no—
840#557—611no—
841#556—611no—
842#556—611no—
843#554—611no—
844#554—611no—
845#554—611no—
846#554—1221no—
847#554—1221no—
848#554C2×D6111yescharacteristic
849#552—1221no—
850#552—1221no—
851D4×Q8—611no—
852D4×Q8—611no—
853D4×Q8—1221no—
854D4×Q8—1221no—
855#544—611no—
856#544—611no—
857#544—1221no—
858#544—1221no—
859#542—611no—
860#542—611no—
861#542—1221no—
862#542—1221no—
863#541—611no—
864#540—611no—
865#539—1221no—
866#539—1221no—
867#533—611no—
868#533—1221no—
869C2×C4⋊Q8—611no—
870C2×C4⋊Q8—1221no—
871#529—611no—
872#529—611no—
873#520—611no—
874#520—611no—
875C4×#41—611no—
876#501—611no—
877#501—611no—
878#501—611no—
879#501—611no—
880#501—611no—
881#501—611no—
882#501—611no—
883#501—611no—
884#500—611no—
885#499—611no—
886#499—611no—
887#498—611no—
888#491—611no—
889#490C2×D6111yescharacteristic
890#489—611no—
891#489—611no—
892#489—611no—
893#489—611no—
894#489—611no—
895#489C2×D6111yescharacteristic
896#488—611no—
897#488C2×D6111yescharacteristic
898#487—611no—
899#486—611no—
900#485—611no—
901#485—611no—
902#484—611no—
903#484—611no—
904#483—611no—
905#483—611no—
906#482—611no—
907#482—611no—
908#481—611no—
909#481—611no—
910#480—611no—
911#480—611no—
912#479—611no—
913#479—611no—
914#479—611no—
915#479—611no—
916#479—611no—
917#479—611no—
918#479—611no—
919#479C2×D6111yescharacteristic
920#478—611no—
921#478—611no—
922#478—611no—
923#478—611no—
924#478—611no—
925#478—611no—
926#478—611no—
927#478C2×D6111yescharacteristic
928#477—611no—
929#477—611no—
930#477—611no—
931#477—611no—
932#477—611no—
933#476—611no—
934#476—611no—
935#476—611no—
936#476—611no—
937#476—611no—
938#475—611no—
939#475—611no—
940#475—611no—
941#475—611no—
942#475—611no—
943#474—611no—
944#474—611no—
945#474—611no—
946#474—611no—
947#474C2×D6111yescharacteristic
948#464—611no—
949#464—611no—
950#464—611no—
951#464—611no—
952#463—611no—
953#463—611no—
954#463C2×D6111yescharacteristic
955#463C2×D6111yescharacteristic
956#462—611no—
957#461—611no—
958#460—611no—
959#459C2×D6111yescharacteristic
960#452—611no—
961#452—611no—
962#449—611no—
963#449—611no—
964#446—611no—
965#446—611no—
966#446—611no—
967#446—611no—
968#446—611no—
969#446—611no—
970#446—611no—
971#446C2×D6111yescharacteristic
972#442—611no—
973#442—611no—
974#442—611no—
975#442C2×D6111yescharacteristic
976#441—611no—
977#441—611no—
978#441—611no—
979#441—611no—
980#440—611no—
981#440—611no—
982#440—611no—
983#440—611no—
984#440—611no—
985#440—611no—
986#440—611no—
987#440C2×D6111yescharacteristic
988C4×Q16—611no—
989C4×Q16—611no—
990C4×SD16—611no—
991C4×SD16—611no—
992C4×SD16—611no—
993C4×SD16—611no—
994C4×D8—611no—
995C4×D8C2×D6111yescharacteristic
996#433—611no—
997#433—611no—
998#433—611no—
999#433—611no—
1000#432—611no—
1001#432—611no—
1002C61#6187911yescharacteristic, complemented, Sylow
1003C2×#41—611no—
1004C22×Q8—1221no—
1005C22×Q8—1221no—
1006C22×Q8—1221no—
1007C2×Q16—611no—
1008C2×Q16—611no—
1009C2×SD16—611no—
1010C2×SD16—611no—
1011C2×SD16—611no—
1012C2×SD16C22×D6111yescharacteristic
1013C2×D8C22×D6111yescharacteristic
1014C2×D8C22×D6111yescharacteristic
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—611no—
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⋊Q8—1221no—
1040C4⋊Q8—1221no—
1041C4⋊Q8C22×D6111yescharacteristic
1042#127C22×D6111yescharacteristic
1043#126—1221no—
1044#126—1221no—
1045#126—1221no—
1046#126—1221no—
1047#126—1221no—
1048#126—1221no—
1049#126—1221no—
1050#126—1221no—
1051#126—1221no—
1052#126—1221no—
1053#125—611no—
1054#125—611no—
1055#125—611no—
1056#125—611no—
1057#125—611no—
1058#125—611no—
1059#125—611no—
1060#125—611no—
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#125—1221no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125C22×D6111yescharacteristic
1074#125C22×D6111yescharacteristic
1075#124—21no—
1076#124—611no—
1077#124—611no—
1078#124—1221no—
1079#124—1221no—
1080#124—1221no—
1081#124C22×D6111yescharacteristic
1082#124C22×D6111yescharacteristic
1083#123—21no—
1084#123—21no—
1085#123—1221no—
1086#123—1221no—
1087#123—1221no—
1088#123—1221no—
1089#123—1221no—
1090#123—1221no—
1091#123—1221no—
1092#123—1221no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—21no—
1096C22⋊Q8—611no—
1097C22⋊Q8—611no—
1098C22⋊Q8—611no—
1099C22⋊Q8—611no—
1100C22⋊Q8—611no—
1101C22⋊Q8—611no—
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⋊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—
1125#121—611no—
1126#121—611no—
1127#121—1221no—
1128#121—1221no—
1129C4×Q8—611no—
1130C4×Q8—611no—
1131C4×Q8—611no—
1132C4×Q8—611no—
1133C4×Q8—611no—
1134C4×Q8—611no—
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—1221no—
1144C4×Q8—1221no—
1145C4×Q8—1221no—
1146C4×Q8—1221no—
1147C4×Q8—1221no—
1148C4×Q8—1221no—
1149C4×Q8C22×D6111yescharacteristic
1150C4×Q8C22×D6111yescharacteristic
1151C4×D4—21no—
1152C4×D4—611no—
1153C4×D4—611no—
1154C4×D4—611no—
1155C4×D4—611no—
1156C4×D4—611no—
1157C4×D4—611no—
1158C4×D4—611no—
1159C4×D4—1221no—
1160C4×D4—1221no—
1161C4×D4—1221no—
1162C4×D4—1221no—
1163C4×D4—1221no—
1164C4×D4—1221no—
1165C4×D4—1221no—
1166C4×D4—1221no—
1167C4×D4—1221no—
1168C4×D4C22×D6111yescharacteristic
1169C4×D4C22×D6111yescharacteristic
1170C4×D4C22×D6111yescharacteristic
1171C4×D4C22×D6111yescharacteristic
1172C4×D4C22×D6111yescharacteristic
1173#117—611no—
1174#117—611no—
1175#117—611no—
1176#117—1221no—
1177#117—1221no—
1178#117—1221no—
1179#117—1221no—
1180#117—1221no—
1181#117—1221no—
1182#117—1221no—
1183C2×C4⋊C4—21no—
1184C2×C4⋊C4—611no—
1185C2×C4⋊C4—611no—
1186C2×C4⋊C4—1221no—
1187C2×C4⋊C4—1221no—
1188C2×C4⋊C4—1221no—
1189C2×C4⋊C4—1221no—
1190C2×C4⋊C4—1221no—
1191C2×C4⋊C4—1221no—
1192C2×C42—611no—
1193C2×C42—1221no—
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#107C22×D6111yescharacteristic
1205#107C22×D6111yescharacteristic
1206#106—611no—
1207#106—611no—
1208#106—611no—
1209#106—611no—
1210#106—611no—
1211#106—611no—
1212#106—611no—
1213#106—611no—
1214#106—611no—
1215#106—611no—
1216#106—611no—
1217#106C22×D6111yescharacteristic
1218C4⋊C8—611no—
1219C4⋊C8—611no—
1220C4⋊C8—611no—
1221C4⋊C8—611no—
1222C4⋊C8—611no—
1223C4⋊C8—611no—
1224C4⋊C8—611no—
1225C4⋊C8—611no—
1226C4⋊C8—611no—
1227C4⋊C8C22×D6111yescharacteristic
1228C4⋊C8C22×D6111yescharacteristic
1229C4⋊C8C22×D6111yescharacteristic
1230#103—611no—
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#103C22×D6111yescharacteristic
1244#103C22×D6111yescharacteristic
1245#103C22×D6111yescharacteristic
1246#102—611no—
1247#102—611no—
1248#102—611no—
1249#102—611no—
1250#102—611no—
1251#102—611no—
1252#102—611no—
1253#102—611no—
1254#102—611no—
1255#102C22×D6111yescharacteristic
1256#102C22×D6111yescharacteristic
1257#102C22×D6111yescharacteristic
1258#102C22×D6111yescharacteristic
1259#102C22×D6111yescharacteristic
1260#102C22×D6111yescharacteristic
1261#102C22×D6111yescharacteristic
1262C22⋊C8—611no—
1263C22⋊C8—611no—
1264C22⋊C8—611no—
1265C22⋊C8—611no—
1266#97—611no—
1267#97—611no—
1268#97—611no—
1269#97—611no—
1270#97—611no—
1271#97—611no—
1272#97C22×D6111yescharacteristic
1273#97C22×D6111yescharacteristic
1274C4×C8—611no—
1275C4×C8—611no—
1276C4×C8—611no—
1277C4×C8C22×D6111yescharacteristic
1278#41—1222no—
1279#41—1222no—
1280C2×Q8—21no—
1281C2×Q8—611no—
1282C2×Q8—611no—
1283C2×Q8—611no—
1284C2×Q8—611no—
1285C2×Q8—611no—
1286C2×Q8—1221no—
1287C2×Q8—1221no—
1288C2×Q8—1221no—
1289C2×Q8—1221no—
1290C2×Q8—1221no—
1291C2×Q8—1221no—
1292C2×Q8—1221no—
1293C2×Q8—1221no—
1294C2×Q8—1221no—
1295C2×Q8—4882no—
1296C2×Q8—4882no—
1297C2×Q8—4882no—
1298C2×Q8D4×D6111yescharacteristic
1299C2×Q8C23×D6111yescharacteristic
1300C2×D4—21no—
1301C2×D4—21no—
1302C2×D4—1221no—
1303C2×D4—1221no—
1304C2×D4—1221no—
1305C2×D4C23×D6111yescharacteristic
1306C2×D4C23×D6111yescharacteristic
1307C2×D4C23×D6111yescharacteristic
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—611no—
1314C22×C4—611no—
1315C22×C4—611no—
1316C22×C4—1221no—
1317C22×C4—1221no—
1318C22×C4—1221no—
1319C22×C4—1221no—
1320C22×C4—1221no—
1321C22×C4—1221no—
1322C22×C4—1221no—
1323C22×C4—1221no—
1324C22×C4—1221no—
1325C22×C4—1221no—
1326Q16—1222no—
1327Q16—1222no—
1328SD16—22no—
1329SD16—1222no—
1330SD16—1222no—
1331SD16—1222no—
1332D8—22no—
1333D8—22no—
1334C2×C8—611no—
1335C2×C8—611no—
1336C2×C8—611no—
1337C2×C8—611no—
1338C2×C8C23×D6111yescharacteristic
1339C2×C8C23×D6111yescharacteristic
1340C2×C8C23×D6111yescharacteristic
1341C2×C8C23×D6111yescharacteristic
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—611no—
1349C4⋊C4—611no—
1350C4⋊C4—611no—
1351C4⋊C4—611no—
1352C4⋊C4—611no—
1353C4⋊C4—611no—
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—611no—
1365C4⋊C4—611no—
1366C4⋊C4—611no—
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⋊C4D4×D6111yescharacteristic
1408C4⋊C4C23×D6111yescharacteristic
1409C4⋊C4C23×D6111yescharacteristic
1410C4⋊C4C23×D6111yescharacteristic
1411C4⋊C4C23×D6111yescharacteristic
1412C22⋊C4—21no—
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—611no—
1422C22⋊C4—611no—
1423C22⋊C4—611no—
1424C22⋊C4—611no—
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⋊C4—1221no—
1439C22⋊C4—1221no—
1440C22⋊C4—1221no—
1441C42—21no—
1442C42—611no—
1443C42—611no—
1444C42—611no—
1445C42—611no—
1446C42—611no—
1447C42—1221no—
1448C42—1221no—
1449C42—1221no—
1450C42—1221no—
1451C42—1221no—
1452C42—1221no—
1453C42—1221no—
1454C42—1221no—
1455C42—1221no—
1456C42—1221no—
1457C42—1221no—
1458C42—1221no—
1459C42C23×D6111yescharacteristic
1460C42C23×D6111yescharacteristic
1461C42C23×D6111yescharacteristic
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—611no—
1466Q8—21no—
1467Q8—21no—
1468Q8—41no—
1469Q8—81no—
1470Q8—612no—
1471Q8—1221no—
1472Q8—1221no—
1473Q8—1221no—
1474Q8—4881no—
1475Q8—4881no—
1476Q8—4881no—
1477Q8—4881no—
1478Q8—4881no—
1479Q8—4881no—
1480Q8—4881no—
1481Q8—2441no—
1482Q8—2441no—
1483Q8—2441no—
1484Q8—2442no—
1485Q8—2442no—
1486D4—21no—
1487D4—21no—
1488D4—21no—
1489D4—21no—
1490D4—21no—
1491D4—81no—
1492D4—81no—
1493D4—1224no—
1494D4—4881no—
1495D4—4881no—
1496D4#1451982412yes—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—42no—
1503C2×C4—81no—
1504C2×C4—81no—
1505C2×C4—81no—
1506C2×C4—81no—
1507C2×C4—611no—
1508C2×C4—611no—
1509C2×C4—611no—
1510C2×C4—611no—
1511C2×C4—611no—
1512C2×C4—611no—
1513C2×C4—611no—
1514C2×C4—1224no—
1515C2×C4—1221no—
1516C2×C4—1221no—
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—4881no—
1526C2×C4—4881no—
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×C4C2×D4×D6111yescharacteristic
1537C2×C4C2×D4×D6111yescharacteristic
1538C2×C4C2×D4×D6111yescharacteristic
1539C2×C4C2×D4×D6111yescharacteristic
1540C2×C4C2×D4×D6111yescharacteristic
1541C2×C4C2×D4×D6111yescharacteristic
1542C2×C4C24×D6111yescharacteristic
1543C8—21no—
1544C8—21no—
1545C8—21no—
1546C8—21no—
1547C8—1221no—
1548C8—1221no—
1549C8—1221no—
1550C8—1221no—
1551C22—22no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—1221no—
1561C22—1221no—
1562C22—1221no—
1563C22C22×D4×D6111yescharacteristic
1564C4—21no—
1565C4—21no—
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—1221no—
1576C4—1222no—
1577C4—1221no—
1578C4—1221no—
1579C4—1221no—
1580C4—1221no—
1581C4—1221no—
1582C4—1221no—
1583C4—2441no—
1584C4—2441no—
1585C4—2441no—
1586C4—2441no—
1587C4—2441no—
1588C4—2441no—
1589C4—2441no—
1590C42−1+4×D6111yescharacteristic
1591C4C2×#1451982411yescharacteristic
1592C2—42no—
1593C2—81no—
1594C2—81no—
1595C2—2441no—
1596C2#2145946511yescharacteristic
1597C2#2146059411yescharacteristic
1598C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3370C2
socleC22×C61C23×D4
prime radical#21456015C2
hypercenter#3370D61
hypocenterC61#61879
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3370

Complements

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

NH ≅ G/Ntype
1. #21460316C2semidirect
2. #21459633C2semidirect
3. #21458786C2semidirect
4. #21458778C2semidirect
5. #21458764C2semidirect
6. #21458761C2semidirect
7. #21458753C2semidirect
8. #21458741C2semidirect
9. #21458724C2semidirect
10. #21458716C2semidirect
11. #21458667C2semidirect
12. #21458643C2semidirect
13. #21458629C2semidirect
14. #21458615C2semidirect
15. #21458582C2semidirect
16. #21458556C2semidirect
17. #21458532C2semidirect
18. #21457110C2semidirect
19. #21457101C2semidirect
20. #21457084C2semidirect
21. #21457067C2semidirect
22. #21457048C2semidirect
23. #21457036C2semidirect
24. #21456093C2semidirect
25. #21456077C2semidirect
26. #21456037C2semidirect
28. #21455925C2semidirect
29. #21455924C2semidirect
30. #21454922C2semidirect
31. C61×#3370C2semidirect
808. #3370D61semidirect
1002. C61#61879semidirect

Maximal subgroups

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

subgroupindex
#214603162
#214596332
#214587862
#214587782
#214587642
#214587612
#214587532
#214587412
#214587242
#214587162
#214586672
#214586432
#214586292
#214586152
#214585822
#214585562
#214585322
#214571102
#214571012
#214570842
#214570672
#214570482
#214570362
#214560932
#214560772
#214560372
#214560152
#214559252
#214559242
#214549222
C61×#33702
#6187961