Finite Group Databasebeta

← #30576928

Subgroups — #30576928

Order 15616.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460454C211yesmaximal, characteristic, complemented
2#21459824C211yesmaximal, characteristic, complemented
3#21458783C211yesmaximal, characteristic, complemented
4#21458757C211yesmaximal, characteristic, complemented
5#21458551C211yesmaximal, characteristic, complemented
6#21458527C211yesmaximal, characteristic, complemented
7#21458365C211yesmaximal, characteristic, complemented
8#21458322C211yesmaximal, characteristic, complemented
9#21458253C211yesmaximal, characteristic, complemented
10#21458219C211yesmaximal, characteristic, complemented
11#21458194C211yesmaximal, characteristic, complemented
12#21457948C211yesmaximal, characteristic, complemented
13#21457947C211yesmaximal, characteristic, complemented
14#21457820C211yesmaximal, characteristic, complemented
15#21457819C211yesmaximal, characteristic, complemented
16#21457764C211yesmaximal, characteristic, complemented
17#21457756C211yesmaximal, characteristic, complemented
18#21457231C211yesmaximal, characteristic, complemented
19#21457223C211yesmaximal, characteristic, complemented
20#21457147C211yesmaximal, characteristic, complemented
21#21457076C211yesmaximal, characteristic, complemented
22#21457070C211yesmaximal, characteristic, complemented
23#21457018C211yesmaximal, characteristic, complemented
24#21456099C211yesmaximal, characteristic, complemented
25#21456076C211yesmaximal, characteristic, complemented
26#21455924C211yesmaximal, characteristic, complemented
27#21455686C211yesmaximal, characteristic, complemented
28#21455669C211yesmaximal, characteristic, complemented
29#21455604C211yesmaximal, characteristic, complemented
30#21454954C211yesmaximal, characteristic, complemented
31C61×#3345C211yesmaximal, characteristic, complemented
32#16840514—21no—
33#16840507—21no—
34#16840489C2211yescharacteristic
35#16840487C2211yescharacteristic
36#16840482—21no—
37#16840480C2211yescharacteristic
38#16840476C2211yescharacteristic
39#16840471C2211yescharacteristic
40#16840464C2211yescharacteristic
41#16840460C2211yescharacteristic
42#16840460C2211yescharacteristic
43#16840457—21no—
44#16840457—21no—
45#16840452C2211yescharacteristic
46#16840449—21no—
47#16840447C2211yescharacteristic
48#16840433C2211yescharacteristic
49#16840433C2211yescharacteristic
50#16840431—21no—
51#16840430C2211yescharacteristic
52#16840430C2211yescharacteristic
53#16840414—21no—
54#16840393C2211yescharacteristic
55#16840390C2211yescharacteristic
56#16840380—21no—
57#16840379—21no—
58#16840379C2211yescharacteristic
59#16840379C2211yescharacteristic
60#16840369—21no—
61#16840365C2211yescharacteristic
62#16840365C2211yescharacteristic
63#16840364—21no—
64#16840364—21no—
65#16840354—21no—
66#16840318C2211yescharacteristic
67#16840313C2211yescharacteristic
68#16840308—21no—
69#16840298—21no—
70#16840294C2211yescharacteristic
71#16840294C2211yescharacteristic
72#16840243C2211yescharacteristic
73#16840243C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840169C2211yescharacteristic
77#16840168C2211yescharacteristic
78#16840162C2211yescharacteristic
79#16840162C2211yescharacteristic
80#16840128C2211yescharacteristic
81#16840127C2211yescharacteristic
82#16840125C2211yescharacteristic
83#16840125C2211yescharacteristic
84#16840107C2211yescharacteristic
85#16840107C2211yescharacteristic
86#16840106C2211yescharacteristic
87#16840097C2211yescharacteristic
88#16840092C2211yescharacteristic
89#16840089C2211yescharacteristic
90#16840089C2211yescharacteristic
91#16840088C2211yescharacteristic
92#16840088C2211yescharacteristic
93#16840087C2211yescharacteristic
94#16840086C2211yescharacteristic
95#16840085C2211yescharacteristic
96#16840083C2211yescharacteristic
97#16840081C2211yescharacteristic
98#16840075C2211yescharacteristic
99#16840073C2211yescharacteristic
100#16840072C2211yescharacteristic
101#16840072C2211yescharacteristic
102#16840072C2211yescharacteristic
103#16840072C2211yescharacteristic
104#16840070C2211yescharacteristic
105#16840068C2211yescharacteristic
106#16840066C2211yescharacteristic
107#16840064C2211yescharacteristic
108#16840064C2211yescharacteristic
109#16840062C2211yescharacteristic
110#16840061C2211yescharacteristic
111#16840061C2211yescharacteristic
112#16840061C2211yescharacteristic
113#16840061C2211yescharacteristic
114#16840060C2211yescharacteristic
115#16840056C2211yescharacteristic
116#16840056C2211yescharacteristic
117#16840054C2211yescharacteristic
118#16840051C2211yescharacteristic
119#16840051C2211yescharacteristic
120#16840051C2211yescharacteristic
121#16840050C2211yescharacteristic
122#16840046C2211yescharacteristic
123#16840046C2211yescharacteristic
124#16840041C2211yescharacteristic
125#16840041C2211yescharacteristic
126#16840041C2211yescharacteristic
127#16840040C2211yescharacteristic
128#16840013C2211yescharacteristic
129#16840008C2211yescharacteristic
130#16840006C2211yescharacteristic
131#16839997C2211yescharacteristic
132#16839997C2211yescharacteristic
133#16839996C2211yescharacteristic
134#16839992C2211yescharacteristic
135#16839992C2211yescharacteristic
136#16839991C2211yescharacteristic
137#16839989C2211yescharacteristic
138#16839983C2211yescharacteristic
139#16839976C2211yescharacteristic
140#16839976C2211yescharacteristic
141#16839975C2211yescharacteristic
142#16839963C2211yescharacteristic
143#16839961C2211yescharacteristic
144#16839961C2211yescharacteristic
145#16839957C2211yescharacteristic
146#16839955C2211yescharacteristic
147#16839955C2211yescharacteristic
148#16839926C2211yescharacteristic
149#16839926C2211yescharacteristic
150#16839925C2211yescharacteristic
151#16839905C2211yescharacteristic
152#16839905C2211yescharacteristic
153#16839904C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839871C2211yescharacteristic
157#16839870C2211yescharacteristic
158#16839868C2211yescharacteristic
159#16839862C2211yescharacteristic
160#16839862C2211yescharacteristic
161#16839861C2211yescharacteristic
162#16839859C2211yescharacteristic
163#16839856C2211yescharacteristic
164#16839853C2211yescharacteristic
165#16839849C2211yescharacteristic
166#16839842C2211yescharacteristic
167#16839836C2211yescharacteristic
168#16839834C2211yescharacteristic
169#16839831C2211yescharacteristic
170C8×C22⋊D61C2211yescharacteristic
171#16839825C2211yescharacteristic
172#16839820C2211yescharacteristic
173#16839820C2211yescharacteristic
174#16839817C2211yescharacteristic
175#16839802C2211yescharacteristic
176#16839799C2211yescharacteristic
177#16839797C2211yescharacteristic
178C2×#14519710C2211yescharacteristic
179#16839790C2211yescharacteristic
180#16839788C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839764C2211yescharacteristic
183#16839761C2211yescharacteristic
184#16839759C2211yescharacteristic
185#16839756C2211yescharacteristic
186#16839755C2211yescharacteristic
187#16839755C2211yescharacteristic
188C61×#553C2211yescharacteristic
189C61×#547C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#481C2211yescharacteristic
193C61×#481C2211yescharacteristic
194C61×#480C2211yescharacteristic
195C61×#478C2211yescharacteristic
196C61×#476C2211yescharacteristic
197C61×#469C2211yescharacteristic
198C61×#466C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#428C2211yescharacteristic
202C2×#106×C61C2211yescharacteristic
203C2×#11758226—21no—
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758222C2311yescharacteristic
207C2×#11758224C2311yescharacteristic
208C2×Dic244C2311yescharacteristic
209C2×#11758190C2311yescharacteristic
210C2×#11758190C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758200C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758194C2311yescharacteristic
216C22×#92418C2311yescharacteristic
217C2×C8×D61C2311yescharacteristic
218C2×C8×D61C2311yescharacteristic
219#14519777—21no—
220#14519776—21no—
221#14519776—21no—
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519775—21no—
227#14519774C2311yescharacteristic
228#14519773—21no—
229#14519773—21no—
230#14519773—21no—
231#14519773C2311yescharacteristic
232#14519773C2311yescharacteristic
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519771—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770D411yescharacteristic
244#14519770D411yescharacteristic
245#14519769—21no—
246#14519769C2311yescharacteristic
247#14519768—21no—
248#14519768D411yescharacteristic
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519768C2311yescharacteristic
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519766—21no—
261#14519764—21no—
262#14519764—21no—
263#14519764—21no—
264#14519764D411yescharacteristic
265#14519764C2311yescharacteristic
266#14519763—21no—
267#14519763—21no—
268#14519762—21no—
269#14519762—21no—
270#14519761—21no—
271#14519761—21no—
272#14519761—21no—
273#14519760—21no—
274#14519759—21no—
275#14519759—21no—
276#14519759—21no—
277#14519759D411yescharacteristic
278#14519759D411yescharacteristic
279#14519758—21no—
280#14519758—21no—
281#14519758—21no—
282#14519757D411yescharacteristic
283#14519757C2311yescharacteristic
284#14519756—21no—
285#14519756—21no—
286#14519756—21no—
287#14519756C2311yescharacteristic
288#14519756C2311yescharacteristic
289#14519755—21no—
290#14519755—21no—
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519754—21no—
296#14519754—21no—
297#14519752—21no—
298#14519752C2311yescharacteristic
299#14519752C2311yescharacteristic
300#14519751—21no—
301#14519751—21no—
302#14519751—21no—
303#14519751C2311yescharacteristic
304#14519751C2311yescharacteristic
305#14519750—21no—
306#14519750—21no—
307#14519750—21no—
308#14519750—21no—
309#14519750—21no—
310#14519750—21no—
311#14519749—21no—
312#14519749—21no—
313#14519749—21no—
314#14519749—21no—
315#14519749—21no—
316#14519749—21no—
317#14519748—21no—
318#14519748—21no—
319#14519748D411yescharacteristic
320#14519748C2311yescharacteristic
321Q8×Dic61—21no—
322C4×Dic122—21no—
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326#14519742—21no—
327#14519742—21no—
328#14519742—21no—
329#14519742C2311yescharacteristic
330#14519742C2311yescharacteristic
331#14519742C2311yescharacteristic
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334D4×Dic61—21no—
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338#14519739—21no—
339#14519739—21no—
340#14519739C2311yescharacteristic
341#14519739C2311yescharacteristic
342#14519739C2311yescharacteristic
343#14519739C2311yescharacteristic
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350C4×C22⋊D61—21no—
351C4×C22⋊D61—21no—
352C4×C22⋊D61C2311yescharacteristic
353C4×C22⋊D61C2311yescharacteristic
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519736—21no—
358#14519736—21no—
359#14519736C2311yescharacteristic
360#14519736C2311yescharacteristic
361#14519736C2311yescharacteristic
362#14519735—21no—
363#14519735—21no—
364#14519735C2311yescharacteristic
365#14519735C2311yescharacteristic
366#14519735C2311yescharacteristic
367#14519733—21no—
368#14519733—21no—
369#14519733—21no—
370C2×C4⋊Dic61C2311yescharacteristic
371C2×#11758196—21no—
372C4⋊C4×D61—21no—
373C4⋊C4×D61—21no—
374C2×C4×Dic61—21no—
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61—21no—
436C2×D8×C61C2311yescharacteristic
437C2×M16×C61C2311yescharacteristic
438C22×C8×C61C2311yescharacteristic
439C4⋊Q8×C61C2311yescharacteristic
440#126×C61—21no—
441#125×C61C2311yescharacteristic
442#123×C61—21no—
443#123×C61—21no—
444#123×C61—21no—
445C22⋊Q8×C61—21no—
446#121×C61—21no—
447#121×C61C2311yescharacteristic
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451C4×D4×C61—21no—
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455#117×C61C2311yescharacteristic
456C2×C4⋊C4×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478#41×C61—82no—
479C2×Q8×C61—21no—
480C2×D4×C61—21no—
481C2×D4×C61—21no—
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61C2×D411yescharacteristic
485C2×D4×C61C2411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61C2411yescharacteristic
493C22×C4×C61C2411yescharacteristic
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61C2×D411yescharacteristic
505C2×C22⋊D61C2×D411yescharacteristic
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511#11758226—82no—
512#11758224—22no—
513#11758224—41no—
514#11758222—22no—
515#11758222—22no—
516#11758222—41no—
517#11758222—41no—
518#11758222—82no—
519C2×D244—21no—
520C2×D244—21no—
521C2×D244—21no—
522C2×D244—21no—
523C2×D244C2411yescharacteristic
524C2×D244C2411yescharacteristic
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61C2×D411yescharacteristic
532C2×C4×D61C2×D411yescharacteristic
533C2×C4×D61C2411yescharacteristic
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122C2×D411yescharacteristic
539C2×Dic122C2411yescharacteristic
540C2×Dic122C2411yescharacteristic
541D8×C61—41no—
542M16×C61—41no—
543C2×C8×C61—41no—
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61C2×D411yescharacteristic
555C4⋊C4×C61C2411yescharacteristic
556C4⋊C4×C61C2411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61C2×D411yescharacteristic
569C22⋊C4×C61C2×D411yescharacteristic
570C42×C61—21no—
571C42×C61C2411yescharacteristic
572C22⋊Dic61—21no—
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61C2×D411yescharacteristic
582C22⋊Dic61C2×D411yescharacteristic
583C22⋊Dic61C2×D411yescharacteristic
584C22⋊Dic61C2×D411yescharacteristic
585C22⋊Dic61C2×D411yescharacteristic
586C22⋊Dic61C2×D411yescharacteristic
587#11758200—22no—
588#11758200—41no—
589#11758199—41no—
590#11758199—41no—
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#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198C2×D411yescharacteristic
604#11758198C2×D411yescharacteristic
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61C2×D411yescharacteristic
613C4⋊Dic61C2×D411yescharacteristic
614C4⋊Dic61C2×D411yescharacteristic
615C4⋊Dic61C2×D411yescharacteristic
616C4⋊Dic61C2×D411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
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×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2411yescharacteristic
659C4×Dic61C2411yescharacteristic
660C4×Dic61C2411yescharacteristic
661#11758194—41no—
662C2×#92418—41no—
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667Dic244—22no—
668#11758190—41no—
669#11758190—41no—
670C8×D61—41no—
671C8×D61—41no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61C22×D411yescharacteristic
675C23×C61C22×D411yescharacteristic
676C22×D61—21no—
677C22×D61—21no—
678C22×D61C22×D411yescharacteristic
679Q8×C61—42no—
680D4×C61—21no—
681D4×C61—21no—
682D4×C61—21no—
683D4×C61—21no—
684D4×C61—41no—
685D4×C61—81no—
686D4×C61—81no—
687D4×C61—81no—
688D4×C61—81no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—42no—
700C2×C4×C61—81no—
701C2×C4×C61—81no—
702C2×C4×C61—81no—
703C2×C4×C61—81no—
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C2511yescharacteristic
709C22⋊D61—41no—
710C22⋊D61—41no—
711C22⋊D61—42no—
712C22⋊D61—42no—
713C22⋊D61—42no—
714C22⋊D61—81no—
715C22⋊D61—81no—
716C22⋊D61—81no—
717C22⋊D61—81no—
718C22⋊D61—81no—
719C22⋊D61—81no—
720C22⋊D61—81no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—42no—
728C2×Dic61—81no—
729C2×Dic61—81no—
730C2×Dic61—81no—
731C2×Dic61—81no—
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739D244—21no—
740D244—21no—
741D244—21no—
742D244—21no—
743D244—42no—
744D244—81no—
745D244—81no—
746D244—81no—
747C4×D61—21no—
748C4×D61—21no—
749C4×D61—41no—
750C4×D61—41no—
751C4×D61—42no—
752C4×D61—42no—
753C4×D61—81no—
754C4×D61—81no—
755C4×D61—81no—
756C4×D61—81no—
757Dic122—21no—
758Dic122—21no—
759Dic122—21no—
760Dic122—41no—
761Dic122—81no—
762Dic122—81no—
763Dic122—81no—
764Dic122—81no—
765Dic1222−1+412yes—
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769C8×C61—21no—
770#92418—21no—
771#92418—21no—
772#92418—21no—
773#92418—21no—
774#62162—611nomaximal, Sylow
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—21no—
778C22×C61—21no—
779C22×C61—21no—
780C22×C61—21no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61C23×D411yescharacteristic
788C2×D61—21no—
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C4×C61—21no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—41no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61C2×2−1+411yescharacteristic
808C4×C61#58511yescharacteristic
809Dic61—21no—
810Dic61—21no—
811Dic61—21no—
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—22no—
816Dic61—21no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822#3565—611no—
823#3517—611no—
824#3390—611no—
825#3388—611no—
826#3368—611no—
827#3366—611no—
828#3350—611no—
829#3347—611no—
830#3345D6111yescharacteristic, complemented
831#3343—611no—
832#3339—611no—
833#3337—611no—
834#3317—611no—
835#3317—611no—
836#3309—611no—
837#3309—611no—
838#3305—611no—
839#3304—611no—
840#3257—611no—
841#3257—611no—
842#3247—611no—
843#3241—611no—
844#3241—611no—
845#3235—611no—
846#3125—611no—
847#3124—611no—
848#3111—611no—
849#3084—611no—
850#3083—611no—
851#3076—611no—
852#2992—611no—
853C2×C61—41no—
854C2×C61—41no—
855C2×C61—81no—
856C2×C61—81no—
857C2×C61#348911yescharacteristic
858C2×C61#358411yescharacteristic
859C2×C61#358511yescharacteristic
860D61—41no—
861D61—81no—
862D61—81no—
863#563—1221no—
864#562—1221no—
865#557—611no—
866#557—611no—
867#556—611no—
868#556—1221no—
869#555—611no—
870#554—611no—
871#553—611no—
872#553—611no—
873#553—611no—
874#553—1221no—
875#553—1221no—
876#553C2×D6111yescharacteristic
877#552—611no—
878#552—611no—
879#552—1221no—
880#550—611no—
881#550—611no—
882#550—611no—
883#550—611no—
884#550—1221no—
885#547—1221no—
886#547C2×D6111yescharacteristic
887#544—611no—
888#544—611no—
889#542—611no—
890#542—611no—
891#542—1221no—
892#542—1221no—
893#541—1221no—
894#540—611no—
895#540—611no—
896#540—1221no—
897#540—1221no—
898#539—1221no—
899#533—611no—
900#532—611no—
901#532—1221no—
902#529—611no—
903#529—611no—
904#529—1221no—
905#520—611no—
906#520—611no—
907C4×#41—611no—
908#501—611no—
909#501—611no—
910#501—611no—
911#501C2×D6111yescharacteristic
912#499—611no—
913#499—611no—
914#490—611no—
915#490—611no—
916#490—611no—
917#490—611no—
918#486—611no—
919#486—611no—
920#485—611no—
921#484—611no—
922#483—611no—
923#482—611no—
924#482—611no—
925#482—611no—
926#482—611no—
927#482—611no—
928#482—611no—
929#482—611no—
930#482—611no—
931#482C2×D6111yescharacteristic
932#481—611no—
933#481C2×D6111yescharacteristic
934#481C2×D6111yescharacteristic
935#480—611no—
936#480—611no—
937#480C2×D6111yescharacteristic
938#479—611no—
939#479—611no—
940#479—611no—
941#479—611no—
942#479—611no—
943#479—611no—
944#479—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478—611no—
953#478C2×D6111yescharacteristic
954#477—611no—
955#477—611no—
956#477—611no—
957#476—611no—
958#476—611no—
959#476—611no—
960#476—611no—
961#476C2×D6111yescharacteristic
962#475—611no—
963#475—611no—
964#474—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#469—611no—
969#469C2×D6111yescharacteristic
970#468—611no—
971#468—611no—
972#466—611no—
973#466—611no—
974#466—611no—
975#466C2×D6111yescharacteristic
976#465—611no—
977#465—611no—
978#465—611no—
979#465—611no—
980#464—611no—
981#463—611no—
982#463—611no—
983#463—611no—
984#460—611no—
985#460—611no—
986#460—611no—
987#459—611no—
988#459—611no—
989#459—611no—
990#452—611no—
991#452—611no—
992#452—611no—
993#449—611no—
994#449—611no—
995#449—611no—
996#446—611no—
997#446—611no—
998#442—611no—
999#442C2×D6111yescharacteristic
1000#441—611no—
1001#441—611no—
1002#440—611no—
1003#440—611no—
1004#440—611no—
1005#440—611no—
1006C4×Q16—611no—
1007C4×SD16—611no—
1008C4×SD16—611no—
1009C4×D8—611no—
1010#435—611no—
1011#435—611no—
1012#435—611no—
1013#435C2×D6111yescharacteristic
1014C8×D4—611no—
1015C8×D4—611no—
1016#433—611no—
1017#433—611no—
1018#432—611no—
1019#428—611no—
1020#428C2×D6111yescharacteristic
1021#427—611no—
1022#427—611no—
1023C2×#107—611no—
1024C2×#106C2×D6111yescharacteristic
1025#424—611no—
1026#424—611no—
1027C2×C4⋊C8—611no—
1028#417—611no—
1029#417—611no—
1030#416—611no—
1031#416—611no—
1032#416—611no—
1033#416—611no—
1034C61#6216211yescharacteristic, complemented, Sylow
1035C2×#41—21no—
1036C2×#41—611no—
1037C2×#41—611no—
1038C2×#41—611no—
1039C2×#41—1221no—
1040C2×#41—1221no—
1041C2×Q16—611no—
1042C2×SD16—611no—
1043C2×SD16—611no—
1044C2×SD16—611no—
1045C2×SD16—611no—
1046C2×D8—611no—
1047C2×D8—611no—
1048C2×D8C22×D6111yescharacteristic
1049C2×M16—611no—
1050C2×M16C22×D6111yescharacteristic
1051C22×C8—611no—
1052C22×C8—611no—
1053C22×C8—611no—
1054C22×C8C22×D6111yescharacteristic
1055C4⋊Q8—611no—
1056C4⋊Q8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—1221no—
1060C4⋊Q8—1221no—
1061C4⋊Q8—1221no—
1062C4⋊Q8—1221no—
1063C4⋊Q8C22×D6111yescharacteristic
1064#127—611no—
1065#127—611no—
1066#127—611no—
1067#127—1221no—
1068#127—1221no—
1069#127—1221no—
1070#126—21no—
1071#126—611no—
1072#126—611no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125C22×D6111yescharacteristic
1099#124—611no—
1100#124—611no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124—1221no—
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—611no—
1111#123—611no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124C22⋊Q8—21no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—611no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140#121—21no—
1141#121—611no—
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121—1221no—
1157#121—1221no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121C22×D6111yescharacteristic
1166#121C22×D6111yescharacteristic
1167#121C22×D6111yescharacteristic
1168#121C22×D6111yescharacteristic
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—1221no—
1178C4×Q8—1221no—
1179C4×Q8—1221no—
1180C4×Q8—1221no—
1181C4×Q8—1221no—
1182C4×D4—21no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4—1221no—
1206C4×D4C22×D6111yescharacteristic
1207C4×D4C22×D6111yescharacteristic
1208C4×D4C22×D6111yescharacteristic
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—611no—
1214#117—611no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222#117C22×D6111yescharacteristic
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—1221no—
1225C2×C4⋊C4—1221no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4C22×D6111yescharacteristic
1228C2×C4⋊C4C22×D6111yescharacteristic
1229C2×C4⋊C4C22×D6111yescharacteristic
1230C2×C42—611no—
1231C2×C42—1221no—
1232#107—611no—
1233#107—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#107—611no—
1239#107—611no—
1240#107—611no—
1241#107C22×D6111yescharacteristic
1242#107C22×D6111yescharacteristic
1243#107C22×D6111yescharacteristic
1244#106—611no—
1245#106—611no—
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106C22×D6111yescharacteristic
1251#106C22×D6111yescharacteristic
1252#106C22×D6111yescharacteristic
1253#106C22×D6111yescharacteristic
1254#106C22×D6111yescharacteristic
1255#106C22×D6111yescharacteristic
1256C4⋊C8—611no—
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8—611no—
1264C4⋊C8—611no—
1265C4⋊C8C22×D6111yescharacteristic
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#102—611no—
1277#102—611no—
1278#102—611no—
1279#102—611no—
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102C22×D6111yescharacteristic
1293#102C22×D6111yescharacteristic
1294#102C22×D6111yescharacteristic
1295#102C22×D6111yescharacteristic
1296#102C22×D6111yescharacteristic
1297#102C22×D6111yescharacteristic
1298C22⋊C8—611no—
1299C22⋊C8—611no—
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8C22×D6111yescharacteristic
1303C22⋊C8C22×D6111yescharacteristic
1304#97—611no—
1305#97—611no—
1306#97—611no—
1307#97C22×D6111yescharacteristic
1308C4×C8—611no—
1309C4×C8—611no—
1310#41—82no—
1311#41—1222no—
1312#41—1222no—
1313#41—1222no—
1314#41—4882no—
1315#41—4882no—
1316#41—2441no—
1317#41—2441no—
1318#41—2441no—
1319C2×Q8—21no—
1320C2×Q8—611no—
1321C2×Q8—611no—
1322C2×Q8—611no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—1221no—
1326C2×Q8—1221no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—611no—
1332C2×D4—611no—
1333C2×D4—611no—
1334C2×D4—611no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4D4×D6111yescharacteristic
1350C2×D4C23×D6111yescharacteristic
1351C2×D4C23×D6111yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—611no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4C23×D6111yescharacteristic
1372C22×C4C23×D6111yescharacteristic
1373Q16—1222no—
1374SD16—1222no—
1375SD16—2441no—
1376SD16—2441no—
1377SD16—2441no—
1378D8—41no—
1379D8—2441no—
1380D8—2441no—
1381M16—41no—
1382M16—2441no—
1383C2×C8—41no—
1384C2×C8—611no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—611no—
1388C2×C8—2441no—
1389C2×C8—2441no—
1390C2×C8—2441no—
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C2×C8C23×D6111yescharacteristic
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4D4×D6111yescharacteristic
1442C4⋊C4C23×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—611no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4—611no—
1460C22⋊C4—611no—
1461C22⋊C4—611no—
1462C22⋊C4—611no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1485C22⋊C4D4×D6111yescharacteristic
1486C42—21no—
1487C42—611no—
1488C42—611no—
1489C42—611no—
1490C42—611no—
1491C42—611no—
1492C42—1221no—
1493C42—1221no—
1494C42—1221no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42C23×D6111yescharacteristic
1504C23—21no—
1505C23—21no—
1506C23—611no—
1507C23—1221no—
1508C23—1221no—
1509C23C2×D4×D6111yescharacteristic
1510C23C2×D4×D6111yescharacteristic
1511Q8—42no—
1512Q8—612no—
1513Q8—1221no—
1514Q8—1221no—
1515Q8—1221no—
1516Q8—4881no—
1517Q8—4881no—
1518Q8—4881no—
1519Q8—4881no—
1520Q8—2441no—
1521D4—21no—
1522D4—21no—
1523D4—21no—
1524D4—21no—
1525D4—41no—
1526D4—81no—
1527D4—81no—
1528D4—81no—
1529D4—81no—
1530D4—1221no—
1531D4—1221no—
1532D4—1221no—
1533D4—1221no—
1534D4—4881no—
1535D4—4881no—
1536D4—4881no—
1537D4—4881no—
1538D4—4881no—
1539D4—4881no—
1540D4—4881no—
1541D4—4881no—
1542D4—4881no—
1543D4—4881no—
1544D4—2442no—
1545D4—2441no—
1546D4—2441no—
1547D4—2442no—
1548D4—2442no—
1549D4—2442no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—42no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—611no—
1570C2×C4—611no—
1571C2×C4—611no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—4881no—
1581C2×C4—4881no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—4881no—
1587C2×C4—4881no—
1588C2×C4—2441no—
1589C2×C4—2441no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4—2442no—
1593C2×C4C2×D4×D6111yescharacteristic
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C24×D6111yescharacteristic
1598C8—21no—
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—1221no—
1603C8—1221no—
1604C8—1221no—
1605C8—1221no—
1606C22—21no—
1607C22—21no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—1221no—
1619C22—1221no—
1620C22—1221no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22—2441no—
1626C22—2441no—
1627C22C22×D4×D6111yescharacteristic
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—1221no—
1639C4—1222no—
1640C4—1221no—
1641C4—1221no—
1642C4—1221no—
1643C4—1221no—
1644C4—1221no—
1645C4—1221no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C42−1+4×D6111yescharacteristic
1652C4#1684059811yescharacteristic
1653C2—41no—
1654C2—41no—
1655C2—81no—
1656C2—81no—
1657C2—4881no—
1658C2—4881no—
1659C2—2441no—
1660C2#2145949311yescharacteristic
1661C2#2146059111yescharacteristic
1662C2#2146059511yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3345C2
socleC22×C61C23×D4
hypercenter#3345D61
hypocenterC61#62162
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #21460454C2semidirect
2. #21459824C2semidirect
3. #21458783C2semidirect
4. #21458757C2semidirect
5. #21458551C2semidirect
6. #21458527C2semidirect
7. #21458365C2semidirect
8. #21458322C2semidirect
9. #21458253C2semidirect
10. #21458219C2semidirect
11. #21458194C2semidirect
12. #21457948C2semidirect
13. #21457947C2semidirect
14. #21457820C2semidirect
15. #21457819C2semidirect
16. #21457764C2semidirect
17. #21457756C2semidirect
18. #21457231C2semidirect
19. #21457223C2semidirect
20. #21457147C2semidirect
21. #21457076C2semidirect
22. #21457070C2semidirect
23. #21457018C2semidirect
24. #21456099C2semidirect
25. #21456076C2semidirect
26. #21455924C2semidirect
27. #21455686C2semidirect
28. #21455669C2semidirect
29. #21455604C2semidirect
30. #21454954C2semidirect
31. C61×#3345C2semidirect
830. #3345D61semidirect
1034. C61#62162semidirect

Maximal subgroups

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

subgroupindex
#214604542
#214598242
#214587832
#214587572
#214585512
#214585272
#214583652
#214583222
#214582532
#214582192
#214581942
#214579482
#214579472
#214578202
#214578192
#214577642
#214577562
#214572312
#214572232
#214571472
#214570762
#214570702
#214570182
#214560992
#214560762
#214559242
#214556862
#214556692
#214556042
#214549542
C61×#33452
#6216261