Finite Group Databasebeta

← #30562829

Subgroups — #30562829

Order 15616.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459809C211yesmaximal, characteristic, complemented
2#21459803C211yesmaximal, characteristic, complemented
3#21458899C211yesmaximal, characteristic, complemented
4#21458783C211yesmaximal, characteristic, complemented
5#21458507C211yesmaximal, characteristic, complemented
6#21458503C211yesmaximal, characteristic, complemented
7#21458390C211yesmaximal, characteristic, complemented
8#21458300C211yesmaximal, characteristic, complemented
9#21457719C211yesmaximal, characteristic, complemented
10#21457715C211yesmaximal, characteristic, complemented
11#21457709C211yesmaximal, characteristic, complemented
12#21457704C211yesmaximal, characteristic, complemented
13#21457693C211yesmaximal, characteristic, complemented
14#21457689C211yesmaximal, characteristic, complemented
15#21457473C211yesmaximal, characteristic, complemented
16#21457394C211yesmaximal, characteristic, complemented
17#21457386C211yesmaximal, characteristic, complemented
18#21456492C211yesmaximal, characteristic, complemented
19#21456480C211yesmaximal, characteristic, complemented
20#21456382C211yesmaximal, characteristic, complemented
21#21456121C211yesmaximal, characteristic, complemented
22#21456115C211yesmaximal, characteristic, complemented
23#21456086C211yesmaximal, characteristic, complemented
24#21456076C211yesmaximal, characteristic, complemented
25#21455993C211yesmaximal, characteristic, complemented
26#21455987C211yesmaximal, characteristic, complemented
27#21454789C211yesmaximal, characteristic, complemented
28#21454660C211yesmaximal, characteristic, complemented
29#21454659C211yesmaximal, characteristic, complemented
30C2×#16839856C211yesmaximal, characteristic, complemented
31C61×#3346C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic
33C2×#14519806C2211yescharacteristic
34C22×Dic244C2211yescharacteristic
35#16840489C2211yescharacteristic
36#16840487C2211yescharacteristic
37#16840484C2211yescharacteristic
38#16840483—21no—
39#16840482C2211yescharacteristic
40#16840479—21no—
41#16840471—21no—
42#16840467C2211yescharacteristic
43#16840466—21no—
44#16840461—21no—
45#16840460C2211yescharacteristic
46#16840455—21no—
47#16840451C2211yescharacteristic
48#16840449—21no—
49#16840447C2211yescharacteristic
50#16840444—21no—
51D4×Dic122C2211yescharacteristic
52#16840425C2211yescharacteristic
53#16840422C2211yescharacteristic
54#16840421C2211yescharacteristic
55#16840418C2211yescharacteristic
56#16840418C2211yescharacteristic
57#16840386C2211yescharacteristic
58#16840382—21no—
59#16840380—21no—
60#16840379C2211yescharacteristic
61#16840375C2211yescharacteristic
62#16840372C2211yescharacteristic
63#16840371—21no—
64#16840369—21no—
65#16840298—21no—
66#16840298C2211yescharacteristic
67#16840293—21no—
68#16840293C2211yescharacteristic
69#16840292—21no—
70#16840292—21no—
71#16840292C2211yescharacteristic
72#16840243C2211yescharacteristic
73#16840241C2211yescharacteristic
74#16840239C2211yescharacteristic
75#16840238C2211yescharacteristic
76C2×#14519742C2211yescharacteristic
77C2×#14519742C2211yescharacteristic
78#16840170C2211yescharacteristic
79#16840162C2211yescharacteristic
80#16840156C2211yescharacteristic
81#16840153C2211yescharacteristic
82#16840143C2211yescharacteristic
83#16840119C2211yescharacteristic
84#16840118C2211yescharacteristic
85#16840115C2211yescharacteristic
86#16840115C2211yescharacteristic
87#16840114C2211yescharacteristic
88#16840111C2211yescharacteristic
89#16840106C2211yescharacteristic
90#16840105C2211yescharacteristic
91#16840103C2211yescharacteristic
92#16840099C2211yescharacteristic
93#16840097C2211yescharacteristic
94#16840097C2211yescharacteristic
95#16840080C2211yescharacteristic
96#16840077C2211yescharacteristic
97#16840072C2211yescharacteristic
98#16840072C2211yescharacteristic
99#16840072C2211yescharacteristic
100#16840068C2211yescharacteristic
101#16840068C2211yescharacteristic
102#16840068C2211yescharacteristic
103#16840066C2211yescharacteristic
104#16840056C2211yescharacteristic
105#16840054C2211yescharacteristic
106#16840041C2211yescharacteristic
107#16840021C2211yescharacteristic
108#16840020C2211yescharacteristic
109#16840009C2211yescharacteristic
110#16840004C2211yescharacteristic
111#16840001C2211yescharacteristic
112#16840001C2211yescharacteristic
113#16839996C2211yescharacteristic
114#16839992C2211yescharacteristic
115#16839991C2211yescharacteristic
116#16839989C2211yescharacteristic
117#16839987C2211yescharacteristic
118#16839987C2211yescharacteristic
119#16839985C2211yescharacteristic
120#16839983C2211yescharacteristic
121#16839983C2211yescharacteristic
122#16839983C2211yescharacteristic
123#16839977C2211yescharacteristic
124#16839976C2211yescharacteristic
125#16839973C2211yescharacteristic
126#16839972C2211yescharacteristic
127#16839971C2211yescharacteristic
128#16839971C2211yescharacteristic
129#16839926C2211yescharacteristic
130#16839925C2211yescharacteristic
131#16839920C2211yescharacteristic
132#16839920C2211yescharacteristic
133#16839919C2211yescharacteristic
134#16839919C2211yescharacteristic
135#16839917C2211yescharacteristic
136#16839917C2211yescharacteristic
137#16839908C2211yescharacteristic
138#16839905C2211yescharacteristic
139#16839903C2211yescharacteristic
140#16839900C2211yescharacteristic
141#16839890C2211yescharacteristic
142#16839886C2211yescharacteristic
143#16839870C2211yescharacteristic
144#16839868C2211yescharacteristic
145#16839868C2211yescharacteristic
146#16839868C2211yescharacteristic
147#16839866C2211yescharacteristic
148#16839866C2211yescharacteristic
149#16839861C2211yescharacteristic
150#16839861C2211yescharacteristic
151#16839861C2211yescharacteristic
152#16839859C2211yescharacteristic
153#16839859C2211yescharacteristic
154#16839856C2211yescharacteristic
155#16839856C2211yescharacteristic
156#16839856C2211yescharacteristic
157#16839856C2211yescharacteristic
158#16839856C2211yescharacteristic
159#16839856C2211yescharacteristic
160#16839856C2211yescharacteristic
161#16839856C2211yescharacteristic
162#16839856C2211yescharacteristic
163C4×#11758202C2211yescharacteristic
164#16839854C2211yescharacteristic
165SD16×Dic61C2211yescharacteristic
166#16839849C2211yescharacteristic
167#16839849C2211yescharacteristic
168C4×#11758200C2211yescharacteristic
169#16839842C2211yescharacteristic
170#16839838C2211yescharacteristic
171#16839833C2211yescharacteristic
172D4×#92418C2211yescharacteristic
173#16839825C2211yescharacteristic
174#16839825C2211yescharacteristic
175#16839822C2211yescharacteristic
176#16839820C2211yescharacteristic
177#16839816C2211yescharacteristic
178#16839803C2211yescharacteristic
179#16839756C2211yescharacteristic
180#16839755C2211yescharacteristic
181C2×#14519700C2211yescharacteristic
182C2×#14519700C2211yescharacteristic
183C2×#14519700C2211yescharacteristic
184#103×D61C2211yescharacteristic
185#16839720C2211yescharacteristic
186#16839719C2211yescharacteristic
187C2×C8×Dic61C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#553C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#484C2211yescharacteristic
193C61×#481C2211yescharacteristic
194C61×#480C2211yescharacteristic
195C61×#479C2211yescharacteristic
196C61×#474C2211yescharacteristic
197C61×#468C2211yescharacteristic
198C61×#465C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#428C2211yescharacteristic
202C2×#107×C61C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C22×Dic122C2311yescharacteristic
206C22×Dic122C2311yescharacteristic
207C22×Dic122C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209#14519810—24no—
210#14519806—24no—
211C2×Dic244—24no—
212C2×Dic244C2311yescharacteristic
213C2×Dic244C2311yescharacteristic
214C2×Dic244C2311yescharacteristic
215C2×Dic244C2311yescharacteristic
216C2×Dic244C2311yescharacteristic
217C2×Dic244C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758190C2311yescharacteristic
222C2×#11758190C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758200C2311yescharacteristic
226C2×#11758199C2311yescharacteristic
227C2×#11758189C2311yescharacteristic
228C22×#92418C2311yescharacteristic
229C22×#92418C2311yescharacteristic
230C2×C8×D61C2311yescharacteristic
231#14519777C2311yescharacteristic
232#14519776—21no—
233#14519776—21no—
234#14519776—21no—
235#14519776C2311yescharacteristic
236#14519775—21no—
237#14519775C2311yescharacteristic
238#14519772—21no—
239#14519772—21no—
240#14519772—21no—
241#14519772—21no—
242#14519772—21no—
243#14519772—21no—
244#14519772—21no—
245#14519772D411yescharacteristic
246#14519771—21no—
247#14519770—21no—
248#14519770—21no—
249#14519770—21no—
250#14519770—21no—
251#14519770—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770D411yescharacteristic
255#14519769—21no—
256#14519768—21no—
257#14519768—21no—
258#14519768—21no—
259#14519768C2311yescharacteristic
260#14519768C2311yescharacteristic
261#14519768C2311yescharacteristic
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767—21no—
267#14519767—21no—
268#14519767—21no—
269#14519767D411yescharacteristic
270#14519766—21no—
271#14519766C2311yescharacteristic
272#14519765C2311yescharacteristic
273#14519764—21no—
274#14519764C2311yescharacteristic
275#14519764C2311yescharacteristic
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763D411yescharacteristic
281#14519762—21no—
282#14519762—21no—
283#14519761—21no—
284#14519761D411yescharacteristic
285#14519760—21no—
286#14519759—21no—
287#14519758—21no—
288#14519758—21no—
289#14519758D411yescharacteristic
290#14519757C2311yescharacteristic
291#14519757C2311yescharacteristic
292#14519757C2311yescharacteristic
293#14519756—21no—
294#14519756—21no—
295#14519756C2311yescharacteristic
296#14519756C2311yescharacteristic
297#14519756C2311yescharacteristic
298#14519755—21no—
299#14519755—21no—
300#14519755—21no—
301#14519755—21no—
302#14519755—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519754—21no—
308#14519754—21no—
309#14519754D411yescharacteristic
310#14519753—21no—
311#14519752C2311yescharacteristic
312#14519751—21no—
313#14519751C2311yescharacteristic
314#14519750—21no—
315#14519749—21no—
316#14519749—21no—
317#14519749—21no—
318#14519749D411yescharacteristic
319Q8×Dic61—21no—
320Q8×Dic61C2311yescharacteristic
321C4×Dic122—21no—
322C4×Dic122—21no—
323C4×Dic122—21no—
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327#14519742—21no—
328#14519742—21no—
329#14519742—21no—
330#14519742—21no—
331#14519742—21no—
332#14519742—21no—
333#14519742C2311yescharacteristic
334#14519742C2311yescharacteristic
335#14519742C2311yescharacteristic
336#14519742C2311yescharacteristic
337#14519742C2311yescharacteristic
338#14519742C2311yescharacteristic
339#14519742C2311yescharacteristic
340#14519742C2311yescharacteristic
341#14519742C2311yescharacteristic
342#14519742C2311yescharacteristic
343#14519742C2311yescharacteristic
344#14519742C2311yescharacteristic
345D4×Dic61—21no—
346D4×Dic61—21no—
347D4×Dic61—21no—
348D4×Dic61—21no—
349D4×Dic61C2311yescharacteristic
350#14519739—21no—
351#14519739C2311yescharacteristic
352#14519739C2311yescharacteristic
353C4×C22⋊D61—21no—
354C4×C22⋊D61—21no—
355C4×C22⋊D61—21no—
356C4×C22⋊D61—21no—
357C4×C22⋊D61—21no—
358C4×C22⋊D61C2311yescharacteristic
359C4×C22⋊D61C2311yescharacteristic
360#14519737—21no—
361#14519737—21no—
362#14519737—21no—
363#14519737—21no—
364#14519736—21no—
365#14519736—21no—
366#14519736C2311yescharacteristic
367#14519735—21no—
368#14519735—21no—
369#14519735—21no—
370#14519735C2311yescharacteristic
371#14519734—21no—
372#14519734—21no—
373#14519734—21no—
374#14519734C2311yescharacteristic
375#14519733—21no—
376#14519733—21no—
377#14519733—21no—
378#14519733—21no—
379C2×#11758196—21no—
380C2×#11758196—21no—
381C2×#11758196—21no—
382C4⋊C4×D61—21no—
383C4⋊C4×D61C2311yescharacteristic
384C2×C4×Dic61—21no—
385C2×C4×Dic61—21no—
386C2×C4×Dic61C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519709C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425C22⋊#92418C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×M16×C61C2311yescharacteristic
440C22×C8×C61C2311yescharacteristic
441C4⋊Q8×C61C2311yescharacteristic
442#126×C61—21no—
443#125×C61—21no—
444#125×C61C2311yescharacteristic
445#123×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61—21no—
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453C4×Q8×C61C2311yescharacteristic
454C4×D4×C61—21no—
455C4×D4×C61—21no—
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458#117×C61C2311yescharacteristic
459C2×C4⋊C4×C61C2311yescharacteristic
460C2×C4⋊C4×C61C2311yescharacteristic
461C2×C4⋊C4×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479C22⋊C8×C61C2311yescharacteristic
480#97×C61C2311yescharacteristic
481C2×Q8×C61—21no—
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61C2×D411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61C2411yescharacteristic
492C22×C4×C61C2411yescharacteristic
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61C2×D411yescharacteristic
497C2×C22⋊D61C2×D411yescharacteristic
498C22×Dic61—21no—
499C22×Dic61—21no—
500C22×Dic61—21no—
501C22×Dic61—21no—
502C22×Dic61—21no—
503C22×Dic61C2×D411yescharacteristic
504C22×Dic61C2×D411yescharacteristic
505Q8×D61—22no—
506Q8×D61—41no—
507#11758224—22no—
508#11758224—41no—
509#11758222—22no—
510#11758222—41no—
511C2×D244—21no—
512C2×D244C2411yescharacteristic
513C2×C4×D61—21no—
514C2×C4×D61—21no—
515C2×C4×D61—21no—
516C2×C4×D61—21no—
517C2×C4×D61—21no—
518C2×C4×D61C2411yescharacteristic
519C2×Dic122—22no—
520C2×Dic122—22no—
521C2×Dic122—22no—
522C2×Dic122—21no—
523C2×Dic122—21no—
524C2×Dic122—21no—
525C2×Dic122—21no—
526C2×Dic122—21no—
527C2×Dic122—41no—
528C2×Dic122—41no—
529C2×Dic122—41no—
530C2×Dic122C2×D411yescharacteristic
531C2×Dic122C2411yescharacteristic
532C2×Dic122C2411yescharacteristic
533C2×Dic122C2411yescharacteristic
534C2×Dic122C2411yescharacteristic
535C2×Dic122C2411yescharacteristic
536SD16×C61—22no—
537M16×C61—22no—
538C2×C8×C61—22no—
539C2×C8×C61C2411yescharacteristic
540C2×C8×C61C2411yescharacteristic
541C2×C8×C61C2411yescharacteristic
542C2×C8×C61C2411yescharacteristic
543C4⋊C4×C61—21no—
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61C2×D411yescharacteristic
553C4⋊C4×C61C2411yescharacteristic
554C4⋊C4×C61C2411yescharacteristic
555C4⋊C4×C61C2411yescharacteristic
556C4⋊C4×C61C2411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C22⋊C4×C61—21no—
560C22⋊C4×C61—21no—
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61C2×D411yescharacteristic
566C22⋊C4×C61C2×D411yescharacteristic
567C42×C61—21no—
568C42×C61—21no—
569C42×C61C2411yescharacteristic
570C22⋊Dic61—21no—
571C22⋊Dic61—21no—
572C22⋊Dic61—21no—
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61C2×D411yescharacteristic
579C22⋊Dic61C2×D411yescharacteristic
580C22⋊Dic61C2×D411yescharacteristic
581C22⋊Dic61C2×D411yescharacteristic
582#11758202—22no—
583#11758202—41no—
584#11758202—41no—
585#11758200—22no—
586#11758200—41no—
587#11758199—41no—
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#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198C2×D411yescharacteristic
601#11758198C2×D411yescharacteristic
602#11758198C2×D411yescharacteristic
603#11758198C2×D411yescharacteristic
604C4⋊Dic61—21no—
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61C2×D411yescharacteristic
614C4⋊Dic61C2×D411yescharacteristic
615C4⋊Dic61C2×D411yescharacteristic
616C4⋊Dic61C2411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61C2×D411yescharacteristic
665C4×Dic61C2×D411yescharacteristic
666C4×Dic61C2411yescharacteristic
667C4×Dic61C2411yescharacteristic
668C4×Dic61C2411yescharacteristic
669C2×#92418—41no—
670C2×#92418—41no—
671C2×#92418C2411yescharacteristic
672C2×#92418C2411yescharacteristic
673C2×#92418C2411yescharacteristic
674C2×#92418C2411yescharacteristic
675Dic244—22no—
676Dic244—22no—
677Dic244—22no—
678Dic244—22no—
679Dic244—41no—
680Dic244#4114yes—
681#11758190—22no—
682#11758190—22no—
683#11758190—41no—
684#11758189—22no—
685C8×D61—41no—
686C23×C61—21no—
687C23×C61C22×D411yescharacteristic
688C23×C61C22×D411yescharacteristic
689C22×D61—21no—
690C22×D61C22×D411yescharacteristic
691Q8×C61—21no—
692Q8×C61—21no—
693Q8×C61—81no—
694D4×C61—22no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—42no—
698D4×C61—81no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—81no—
711C2×C4×C61—81no—
712C2×C4×C61—81no—
713C2×C4×C61—81no—
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C22×D411yescharacteristic
718C2×C4×C61C2511yescharacteristic
719C22⋊D61—22no—
720C22⋊D61—41no—
721C22⋊D61—42no—
722C22⋊D61—42no—
723C22⋊D61—42no—
724C2×Dic61—22no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—41no—
733C2×Dic61—42no—
734C2×Dic61—42no—
735C2×Dic61—42no—
736C2×Dic61—42no—
737C2×Dic61—81no—
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740C2×Dic61C22×D411yescharacteristic
741C2×Dic61C22×D411yescharacteristic
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744C2×Dic61C22×D411yescharacteristic
745D244—21no—
746D244—21no—
747D244—81no—
748C4×D61—21no—
749C4×D61—21no—
750C4×D61—42no—
751C4×D61—42no—
752C4×D61—81no—
753C4×D61—81no—
754C4×D61—81no—
755Dic122—21no—
756Dic122—21no—
757Dic122—21no—
758Dic122—21no—
759Dic122—21no—
760Dic122—21no—
761Dic122—21no—
762Dic122—21no—
763Dic122—41no—
764Dic122—42no—
765Dic122—42no—
766Dic122—42no—
767Dic122—42no—
768Dic122—81no—
769Dic122C2×#4112yes—
770Dic122C2×#4112yes—
771C8×C61—21no—
772C8×C61—21no—
773C8×C61—21no—
774C8×C61C2×#4112yes—
775#92418—21no—
776#92418—21no—
777#92418—21no—
778#92418—21no—
779#61491—611nomaximal, Sylow
780C22×C61—21no—
781C22×C61—21no—
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61#57812yes—
789C22×C61C23×D411yescharacteristic
790C2×D61—21no—
791C2×D61—21no—
792C2×D61—21no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C4×C61—21no—
797C4×C61—21no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—41no—
801C4×C61—41no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61C22×#4111yescharacteristic
808C4×C61#58511yescharacteristic
809Dic61—21no—
810Dic61—21no—
811Dic61—21no—
812Dic61—22no—
813Dic61—22no—
814Dic61—21no—
815Dic61—21no—
816Dic61—21no—
817Dic61—21no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823#3516—611no—
824#3516—611no—
825#3402—611no—
826#3390—611no—
827#3364—611no—
828#3364—611no—
829#3352—611no—
830#3346—611no—
831#3346D6111yescharacteristic, complemented
832#3301—611no—
833#3301—611no—
834#3300—611no—
835#3300—611no—
836#3299—611no—
837#3299—611no—
838#3277—611no—
839#3270—611no—
840#3270—611no—
841#3178—611no—
842#3178—611no—
843#3168—611no—
844#3127—611no—
845#3127—611no—
846#3124—611no—
847#3124—611no—
848#3117—611no—
849#3117—611no—
850#2966—611no—
851#2947—611no—
852#2947—611no—
853C2×C4×Q16—611no—
854C2×C61—22no—
855C2×C61—41no—
856C2×C61—81no—
857C2×C61D4×#4111yescharacteristic
858C2×C61C2×#57811yescharacteristic
859C2×C61#358411yescharacteristic
860D61—41no—
861D61—81no—
862C2×#137—611no—
863C2×#137—611no—
864C22×Q16—611no—
865#557—611no—
866#557—611no—
867#556—611no—
868#556—611no—
869#556—1221no—
870#556—1221no—
871#554—611no—
872#554—1221no—
873#554—1221no—
874#554C2×D6111yescharacteristic
875#553—611no—
876#553—1221no—
877#553—1221no—
878#553C2×D6111yescharacteristic
879#552—611no—
880#552—611no—
881#552—1221no—
882#552—1221no—
883D4×Q8—611no—
884D4×Q8—611no—
885#548—611no—
886#548—611no—
887#548—611no—
888#548—611no—
889#542—611no—
890#542—611no—
891#542—1221no—
892#542—1221no—
893#541—611no—
894#541—611no—
895#541—1221no—
896#541—1221no—
897#529—611no—
898#529—611no—
899#529—611no—
900#529—1221no—
901#529—1221no—
902#529—1221no—
903#529—1221no—
904#520—611no—
905#520—611no—
906#519—611no—
907#519—611no—
908C2×C4×Q8—611no—
909C2×C4×Q8—611no—
910#501—611no—
911#501C2×D6111yescharacteristic
912#499—611no—
913#497—611no—
914#497—611no—
915#495—611no—
916#488—611no—
917#488—611no—
918#488—611no—
919#488—611no—
920#487—611no—
921#487—611no—
922#485—611no—
923#485—611no—
924#485—611no—
925#485C2×D6111yescharacteristic
926#484—611no—
927#484—611no—
928#484—611no—
929#484C2×D6111yescharacteristic
930#481—611no—
931#481C2×D6111yescharacteristic
932#480—611no—
933#480C2×D6111yescharacteristic
934#479—611no—
935#479—611no—
936#479—611no—
937#479—611no—
938#479—611no—
939#479—611no—
940#479—611no—
941#479C2×D6111yescharacteristic
942#477—611no—
943#477—611no—
944#474—611no—
945#474C2×D6111yescharacteristic
946#470—611no—
947#470—611no—
948#468—611no—
949#468C2×D6111yescharacteristic
950#467—611no—
951#467—611no—
952#467—611no—
953#466—611no—
954#465—611no—
955#465—611no—
956#465—611no—
957#465C2×D6111yescharacteristic
958#464—611no—
959#464—611no—
960#464—611no—
961#464—611no—
962#464—611no—
963#464—611no—
964#463—611no—
965#463—611no—
966#462—611no—
967#462—611no—
968#462—611no—
969#462—611no—
970#452—611no—
971#452—611no—
972#451—611no—
973#451—611no—
974#451—611no—
975#451—611no—
976#451—611no—
977#451—611no—
978#449—611no—
979#449—611no—
980#448—611no—
981#448—611no—
982#446—611no—
983C8×Q8—611no—
984#441—611no—
985#441—611no—
986#441—611no—
987#441—611no—
988#441—611no—
989#441—611no—
990#440—611no—
991#440—611no—
992#440—611no—
993#440—611no—
994#440—611no—
995#440C2×D6111yescharacteristic
996C4×Q16—611no—
997C4×Q16—611no—
998C4×Q16—611no—
999C4×Q16—611no—
1000C4×Q16—611no—
1001C4×Q16—611no—
1002C4×Q16—611no—
1003C4×Q16—611no—
1004C4×Q16—611no—
1005C4×Q16—611no—
1006C4×Q16—611no—
1007C4×SD16—611no—
1008C4×SD16—611no—
1009C4×SD16—611no—
1010C4×SD16—611no—
1011C4×D8—611no—
1012#436—611no—
1013#435—611no—
1014#435C2×D6111yescharacteristic
1015C8×D4—611no—
1016C8×D4—611no—
1017C8×D4—611no—
1018#433—611no—
1019#433—611no—
1020#432—611no—
1021#428—611no—
1022#428C2×D6111yescharacteristic
1023C2×#107C2×D6111yescharacteristic
1024#416—611no—
1025#416—611no—
1026C2×#103—611no—
1027C2×#103—611no—
1028C2×#103—611no—
1029C2×#103—611no—
1030#405—611no—
1031#405—611no—
1032C2×C4×C8—611no—
1033C61#6149111yescharacteristic, complemented, Sylow
1034C2×#41—611no—
1035C2×#41—611no—
1036C22×Q8—611no—
1037C22×Q8—611no—
1038C22×Q8—611no—
1039C22×Q8—611no—
1040#137—1224no—
1041#137—1224no—
1042C2×Q16—611no—
1043C2×Q16—611no—
1044C2×Q16—611no—
1045C2×Q16—611no—
1046C2×Q16—611no—
1047C2×Q16—611no—
1048C2×Q16—611no—
1049C2×Q16—611no—
1050C2×Q16—611no—
1051C2×Q16—1224no—
1052C2×SD16—611no—
1053C2×SD16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16—611no—
1057C2×SD16C22×D6111yescharacteristic
1058C2×D8—611no—
1059C2×M16—611no—
1060C2×M16C22×D6111yescharacteristic
1061C22×C8—611no—
1062C22×C8—611no—
1063C22×C8—611no—
1064C22×C8C22×D6111yescharacteristic
1065C4⋊Q8—611no—
1066C4⋊Q8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—1221no—
1069C4⋊Q8—1221no—
1070C4⋊Q8—1221no—
1071C4⋊Q8—1221no—
1072C4⋊Q8C22×D6111yescharacteristic
1073#126—21no—
1074#126—611no—
1075#126—611no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#126—1221no—
1087#126—1221no—
1088#126—1221no—
1089#126—1221no—
1090#126—1221no—
1091#125—21no—
1092#125—611no—
1093#125—611no—
1094#125—611no—
1095#125—611no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#125—1221no—
1100#125—1221no—
1101#125—1221no—
1102#125—1221no—
1103#125—1221no—
1104#125—1221no—
1105#125—1221no—
1106#125—1221no—
1107#125C22×D6111yescharacteristic
1108#124—611no—
1109#124—611no—
1110#124—611no—
1111#124—611no—
1112#124—611no—
1113#124—1221no—
1114#124—1221no—
1115#124—1221no—
1116#124—1221no—
1117#124—1221no—
1118#124—1221no—
1119#123—21no—
1120#123—611no—
1121#123—611no—
1122#123—1221no—
1123#123—1221no—
1124#123—1221no—
1125#123—1221no—
1126#123—1221no—
1127#123—1221no—
1128#123—1221no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—611no—
1132C22⋊Q8—611no—
1133C22⋊Q8—611no—
1134C22⋊Q8—611no—
1135C22⋊Q8—611no—
1136C22⋊Q8—611no—
1137C22⋊Q8—611no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149C22⋊Q8—1221no—
1150C22⋊Q8—1221no—
1151C22⋊Q8—1221no—
1152C22⋊Q8C22×D6111yescharacteristic
1153C22⋊Q8C22×D6111yescharacteristic
1154#121—21no—
1155#121—611no—
1156#121—611no—
1157#121—611no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121C22×D6111yescharacteristic
1164#121C22×D6111yescharacteristic
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—611no—
1168C4×Q8—611no—
1169C4×Q8—611no—
1170C4×Q8—611no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—611no—
1175C4×Q8—611no—
1176C4×Q8—611no—
1177C4×Q8—611no—
1178C4×Q8—611no—
1179C4×Q8—611no—
1180C4×Q8—611no—
1181C4×Q8—1221no—
1182C4×Q8—1221no—
1183C4×Q8—1221no—
1184C4×Q8—1221no—
1185C4×Q8—1221no—
1186C4×Q8—1221no—
1187C4×Q8—1221no—
1188C4×Q8—1221no—
1189C4×Q8—1221no—
1190C4×Q8—1221no—
1191C4×Q8C22×D6111yescharacteristic
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—611no—
1195C4×D4—611no—
1196C4×D4—611no—
1197C4×D4—611no—
1198C4×D4—611no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4—1221no—
1206C4×D4—1221no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4C22×D6111yescharacteristic
1214C4×D4C22×D6111yescharacteristic
1215#117—611no—
1216#117—611no—
1217#117—611no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222#117—1221no—
1223#117—1221no—
1224#117—1221no—
1225#117—1221no—
1226#117—1221no—
1227#117—1221no—
1228#117—1221no—
1229#117—1221no—
1230#117C22×D6111yescharacteristic
1231C2×C4⋊C4—611no—
1232C2×C4⋊C4—1221no—
1233C2×C4⋊C4—1221no—
1234C2×C4⋊C4—1221no—
1235C2×C4⋊C4—1221no—
1236C2×C4⋊C4C22×D6111yescharacteristic
1237C2×C4⋊C4C22×D6111yescharacteristic
1238C2×C4⋊C4C22×D6111yescharacteristic
1239C2×C42—611no—
1240C2×C42—1221no—
1241C2×C42—1221no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107C22×D6111yescharacteristic
1247#107C22×D6111yescharacteristic
1248#107C22×D6111yescharacteristic
1249#107C22×D6111yescharacteristic
1250#107C22×D6111yescharacteristic
1251#107C22×D6111yescharacteristic
1252#106—611no—
1253#106—611no—
1254#106—611no—
1255#106C22×D6111yescharacteristic
1256#106C22×D6111yescharacteristic
1257#106C22×D6111yescharacteristic
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8C22×D6111yescharacteristic
1264#103—611no—
1265#103—611no—
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103C22×D6111yescharacteristic
1286#103C22×D6111yescharacteristic
1287#103C22×D6111yescharacteristic
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102C22×D6111yescharacteristic
1294#102C22×D6111yescharacteristic
1295#102C22×D6111yescharacteristic
1296C22⋊C8—611no—
1297C22⋊C8—611no—
1298C22⋊C8—611no—
1299C22⋊C8—611no—
1300C22⋊C8C22×D6111yescharacteristic
1301C22⋊C8C22×D6111yescharacteristic
1302#97—611no—
1303#97—611no—
1304#97—611no—
1305#97C22×D6111yescharacteristic
1306C4×C8—611no—
1307C4×C8—611no—
1308C4×C8—611no—
1309C4×C8—611no—
1310C4×C8—611no—
1311C4×C8—611no—
1312#41—1222no—
1313#41—1222no—
1314#41—2441no—
1315#41—2441no—
1316C2×Q8—21no—
1317C2×Q8—611no—
1318C2×Q8—611no—
1319C2×Q8—611no—
1320C2×Q8—611no—
1321C2×Q8—611no—
1322C2×Q8—611no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—1222no—
1326C2×Q8—1222no—
1327C2×Q8—1222no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8—1221no—
1331C2×Q8—1222no—
1332C2×Q8—2441no—
1333C2×Q8—2441no—
1334C2×Q8—2441no—
1335C2×Q8—2441no—
1336C2×Q8C23×D6111yescharacteristic
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—611no—
1340C2×D4—611no—
1341C2×D4—611no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4D4×D6111yescharacteristic
1347C2×D4C23×D6111yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—611no—
1353C22×C4—611no—
1354C22×C4—611no—
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×C4C23×D6111yescharacteristic
1366C22×C4C23×D6111yescharacteristic
1367Q16—614no—
1368Q16—1222no—
1369Q16—1222no—
1370Q16—1222no—
1371Q16—1222no—
1372Q16—1222no—
1373Q16—2441no—
1374Q16—2441no—
1375Q16—2441no—
1376SD16—22no—
1377SD16—1222no—
1378SD16—1222no—
1379SD16—1222no—
1380SD16—2441no—
1381SD16—2441no—
1382D8—2441no—
1383M16—22no—
1384M16—1222no—
1385C2×C8—22no—
1386C2×C8—611no—
1387C2×C8—611no—
1388C2×C8—611no—
1389C2×C8—611no—
1390C2×C8—2441no—
1391C2×C8—2441no—
1392C2×C8—2441no—
1393C2×C8C23×D6111yescharacteristic
1394C2×C8C23×D6111yescharacteristic
1395C2×C8C23×D6111yescharacteristic
1396C2×C8C23×D6111yescharacteristic
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
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⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4D4×D6111yescharacteristic
1451C4⋊C4C23×D6111yescharacteristic
1452C4⋊C4C23×D6111yescharacteristic
1453C4⋊C4C23×D6111yescharacteristic
1454C4⋊C4C23×D6111yescharacteristic
1455C4⋊C4C23×D6111yescharacteristic
1456C4⋊C4C23×D6111yescharacteristic
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—611no—
1464C22⋊C4—611no—
1465C22⋊C4—611no—
1466C22⋊C4—611no—
1467C22⋊C4—611no—
1468C22⋊C4—611no—
1469C22⋊C4—611no—
1470C22⋊C4—611no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4D4×D6111yescharacteristic
1492C22⋊C4D4×D6111yescharacteristic
1493C42—21no—
1494C42—21no—
1495C42—611no—
1496C42—611no—
1497C42—611no—
1498C42—611no—
1499C42—611no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42—1221no—
1514C42—1221no—
1515C42—1221no—
1516C42C23×D6111yescharacteristic
1517C23—21no—
1518C23—611no—
1519C23—1221no—
1520C23C2×D4×D6111yescharacteristic
1521C23C2×D4×D6111yescharacteristic
1522Q8—21no—
1523Q8—21no—
1524Q8—81no—
1525Q8—612no—
1526Q8—612no—
1527Q8—1221no—
1528Q8—1221no—
1529Q8—1221no—
1530Q8—1221no—
1531Q8—1221no—
1532Q8—1221no—
1533Q8—1221no—
1534Q8—1221no—
1535Q8—4881no—
1536Q8—2441no—
1537Q8—2442no—
1538Q8—2442no—
1539Q8—2442no—
1540Q8—2442no—
1541D4—22no—
1542D4—21no—
1543D4—21no—
1544D4—42no—
1545D4—81no—
1546D4—1222no—
1547D4—1221no—
1548D4—1221no—
1549D4—4881no—
1550D4—2441no—
1551D4—2442no—
1552D4—2442no—
1553D4—2442no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—611no—
1570C2×C4—611no—
1571C2×C4—611no—
1572C2×C4—611no—
1573C2×C4—611no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—1222no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—4881no—
1587C2×C4—4881no—
1588C2×C4—4881no—
1589C2×C4—4881no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4—2441no—
1593C2×C4—2442no—
1594C2×C4—2442no—
1595C2×C4—2442no—
1596C2×C4—2442no—
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C2×D4×D6111yescharacteristic
1599C2×C4C2×D4×D6111yescharacteristic
1600C2×C4C2×D4×D6111yescharacteristic
1601C2×C4C24×D6111yescharacteristic
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—1221no—
1606C8—1221no—
1607C8—1221no—
1608C8—1221no—
1609C8#41×D6112yes—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—1221no—
1619C22—1221no—
1620C22—1221no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22#1684057812yes—
1625C22C22×D4×D6111yescharacteristic
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—1221no—
1638C4—1221no—
1639C4—1221no—
1640C4—1221no—
1641C4—1222no—
1642C4—1222no—
1643C4—1221no—
1644C4—1221no—
1645C4—1221no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4C2×#41×D6111yescharacteristic
1652C4#1684059911yescharacteristic
1653C2—22no—
1654C2—41no—
1655C2—81no—
1656C2—4881no—
1657C2—2441no—
1658C2#2145930611yescharacteristic
1659C2C2×#1684057811yescharacteristic
1660C2#2146058711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3346C2
socleC22×C61C23×D4
hypercenter#3346D61
hypocenterC61#61491
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
1. #21459809C2semidirect
2. #21459803C2semidirect
3. #21458899C2semidirect
4. #21458783C2semidirect
5. #21458507C2semidirect
6. #21458503C2semidirect
7. #21458390C2semidirect
8. #21458300C2semidirect
9. #21457719C2semidirect
10. #21457715C2semidirect
11. #21457709C2semidirect
12. #21457704C2semidirect
13. #21457693C2semidirect
14. #21457689C2semidirect
15. #21457473C2semidirect
16. #21457394C2semidirect
17. #21457386C2semidirect
18. #21456492C2semidirect
19. #21456480C2semidirect
20. #21456382C2semidirect
21. #21456121C2semidirect
22. #21456115C2semidirect
23. #21456086C2semidirect
24. #21456076C2semidirect
25. #21455993C2semidirect
26. #21455987C2semidirect
27. #21454789C2semidirect
28. #21454660C2semidirect
29. #21454659C2semidirect
30. C2×#16839856C2semidirect
31. C61×#3346C2semidirect
831. #3346D61semidirect
1033. C61#61491semidirect

Maximal subgroups

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

subgroupindex
#214598092
#214598032
#214588992
#214587832
#214585072
#214585032
#214583902
#214583002
#214577192
#214577152
#214577092
#214577042
#214576932
#214576892
#214574732
#214573942
#214573862
#214564922
#214564802
#214563822
#214561212
#214561152
#214560862
#214560762
#214559932
#214559872
#214547892
#214546602
#214546592
C2×#168398562
C61×#33462
#6149161