Finite Group Databasebeta

← #30575991

Subgroups — #30575991

Order 15616.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459800C211yesmaximal, characteristic, complemented
2#21459430C211yesmaximal, characteristic, complemented
3#21458764C211yesmaximal, characteristic, complemented
4#21458589C211yesmaximal, characteristic, complemented
5#21458572C211yesmaximal, characteristic, complemented
6#21458422C211yesmaximal, characteristic, complemented
7#21458378C211yesmaximal, characteristic, complemented
8#21458303C211yesmaximal, characteristic, complemented
9#21458301C211yesmaximal, characteristic, complemented
10#21458286C211yesmaximal, characteristic, complemented
11#21458273C211yesmaximal, characteristic, complemented
12#21458032C211yesmaximal, characteristic, complemented
13#21458025C211yesmaximal, characteristic, complemented
14#21457965C211yesmaximal, characteristic, complemented
15#21457897C211yesmaximal, characteristic, complemented
16#21457837C211yesmaximal, characteristic, complemented
17#21457785C211yesmaximal, characteristic, complemented
18#21457219C211yesmaximal, characteristic, complemented
19#21457183C211yesmaximal, characteristic, complemented
20#21457170C211yesmaximal, characteristic, complemented
21#21457060C211yesmaximal, characteristic, complemented
22#21457010C211yesmaximal, characteristic, complemented
23#21456988C211yesmaximal, characteristic, complemented
24#21455955C211yesmaximal, characteristic, complemented
25#21455924C211yesmaximal, characteristic, complemented
26#21455864C211yesmaximal, characteristic, complemented
27#21455636C211yesmaximal, characteristic, complemented
28#21455611C211yesmaximal, characteristic, complemented
29#478×D61C211yesmaximal, characteristic, complemented
30#21454935C211yesmaximal, characteristic, complemented
31C61×#3389C211yesmaximal, characteristic, complemented
32#16840497C2211yescharacteristic
33#16840490C2211yescharacteristic, complemented
34#16840473C2211yescharacteristic
35#16840473C2211yescharacteristic, complemented
36#16840465C2211yescharacteristic
37#16840465C2211yescharacteristic
38#16840462C2211yescharacteristic
39#16840462C2211yescharacteristic, complemented
40#16840460—21no—
41#16840450C2211yescharacteristic
42#16840450C2211yescharacteristic, complemented
43#16840447—21no—
44#16840446—21no—
45#16840446—21no—
46#16840439—21no—
47#16840439—21no—
48#16840417C2211yescharacteristic, complemented
49#16840414—21no—
50#16840407C2211yescharacteristic
51#16840407C2211yescharacteristic
52#16840403—21no—
53D4×D244C2211yescharacteristic
54#16840372—21no—
55#16840358—21no—
56#16840358—21no—
57#16840317C2211yescharacteristic, complemented
58#16840313C2211yescharacteristic
59#16840298—21no—
60#16840297C2211yescharacteristic
61#16840297C2211yescharacteristic
62#16840294C2211yescharacteristic, complemented
63#16840294C2211yescharacteristic, complemented
64#16840294C2211yescharacteristic, complemented
65#125×D61C2211yescharacteristic, complemented
66#125×D61C2211yescharacteristic, complemented
67#16840275—21no—
68#16840275—21no—
69#16840243—21no—
70C4×#11758226C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×#14519739—21no—
73C4×D4×D61C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840168C2211yescharacteristic, complemented
77#16840161C2211yescharacteristic, complemented
78#16840128C2211yescharacteristic
79#16840127C2211yescharacteristic
80#16840124C2211yescharacteristic, complemented
81#16840122C2211yescharacteristic, complemented
82#16840119C2211yescharacteristic, complemented
83#16840117C2211yescharacteristic, complemented
84#16840106C2211yescharacteristic, complemented
85#16840105C2211yescharacteristic, complemented
86#16840105C2211yescharacteristic, complemented
87#16840099C2211yescharacteristic, complemented
88#16840099C2211yescharacteristic, complemented
89#16840094C2211yescharacteristic, complemented
90#16840094C2211yescharacteristic, complemented
91#16840088C2211yescharacteristic
92#16840088C2211yescharacteristic
93#16840085C2211yescharacteristic, complemented
94#16840082C2211yescharacteristic
95#16840082C2211yescharacteristic, complemented
96#16840082C2211yescharacteristic, complemented
97#16840079C2211yescharacteristic, complemented
98#16840077C2211yescharacteristic
99#16840077C2211yescharacteristic, complemented
100#16840077C2211yescharacteristic, complemented
101#16840074C2211yescharacteristic, complemented
102#16840072C2211yescharacteristic, complemented
103#16840072C2211yescharacteristic, complemented
104#16840070C2211yescharacteristic, complemented
105#16840068C2211yescharacteristic, complemented
106#16840066C2211yescharacteristic, complemented
107#16840066C2211yescharacteristic, complemented
108#16840066C2211yescharacteristic, complemented
109#16840065C2211yescharacteristic, complemented
110#16840065C2211yescharacteristic, complemented
111#16840065C2211yescharacteristic, complemented
112#16840065C2211yescharacteristic, complemented
113#16840064C2211yescharacteristic
114#16840064C2211yescharacteristic
115#16840063C2211yescharacteristic, complemented
116#16840062C2211yescharacteristic
117#16840062C2211yescharacteristic
118#16840061C2211yescharacteristic, complemented
119#16840061C2211yescharacteristic, complemented
120#16840060C2211yescharacteristic
121#16840059C2211yescharacteristic, complemented
122#16840053C2211yescharacteristic, complemented
123#16840052C2211yescharacteristic
124#16840044C2211yescharacteristic, complemented
125#16840039C2211yescharacteristic, complemented
126#16840021C2211yescharacteristic, complemented
127#16840014C2211yescharacteristic
128#16840014C2211yescharacteristic, complemented
129#16840014C2211yescharacteristic, complemented
130#16840009C2211yescharacteristic
131#16840009C2211yescharacteristic, complemented
132#16840009C2211yescharacteristic, complemented
133#16840007C2211yescharacteristic, complemented
134#16840004C2211yescharacteristic, complemented
135#16839997C2211yescharacteristic
136#16839992C2211yescharacteristic
137#16839990C2211yescharacteristic, complemented
138#16839985C2211yescharacteristic, complemented
139#16839985C2211yescharacteristic, complemented
140#16839983C2211yescharacteristic, complemented
141#16839977C2211yescharacteristic, complemented
142#16839977C2211yescharacteristic, complemented
143#16839976C2211yescharacteristic, complemented
144#16839976C2211yescharacteristic, complemented
145#16839975C2211yescharacteristic
146#16839963C2211yescharacteristic
147#16839957C2211yescharacteristic
148#16839925C2211yescharacteristic
149#16839914C2211yescharacteristic
150#16839914C2211yescharacteristic
151#16839904C2211yescharacteristic
152#16839894C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839893C2211yescharacteristic, complemented
155#16839872C2211yescharacteristic, complemented
156#16839870C2211yescharacteristic, complemented
157#16839864C2211yescharacteristic, complemented
158#16839862C2211yescharacteristic
159#16839862C2211yescharacteristic
160#16839862C2211yescharacteristic, complemented
161C4×#11758190C2211yescharacteristic, complemented
162C4×#11758200C2211yescharacteristic
163C4×#11758199C2211yescharacteristic, complemented
164#16839841C2211yescharacteristic, complemented
165#16839839C2211yescharacteristic, complemented
166#16839835C2211yescharacteristic
167#16839835C2211yescharacteristic, complemented
168#16839832C2211yescharacteristic
169#16839832C2211yescharacteristic, complemented
170#16839817C2211yescharacteristic, complemented
171#16839817C2211yescharacteristic, complemented
172#16839813C2211yescharacteristic, complemented
173#16839803C2211yescharacteristic, complemented
174#16839803C2211yescharacteristic, complemented
175#16839803C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic, complemented
177#107×D61C2211yescharacteristic, complemented
178#106×D61C2211yescharacteristic, complemented
179#16839784C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839760C2211yescharacteristic
185#16839760C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#554C2211yescharacteristic, complemented
190C61×#501C2211yescharacteristic, complemented
191C61×#501C2211yescharacteristic, complemented
192C61×#499C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#478C2211yescharacteristic, complemented
196C61×#478C2211yescharacteristic, complemented
197C61×#474C2211yescharacteristic
198C61×#474C2211yescharacteristic, complemented
199C61×#446C2211yescharacteristic, complemented
200C61×#442C2211yescharacteristic
201C61×#442C2211yescharacteristic
202C4×D8×C61C2211yescharacteristic
203C2×#11758226—21no—
204C2×#11758226D411yescharacteristic
205C2×#11758222—21no—
206C2×#11758224C2311yescharacteristic
207C22×D244—21no—
208C2×D4×D61C2311yescharacteristic
209C2×D4×D61C2311yescharacteristic
210C22×C4×D61—21no—
211C22×C4×D61—21no—
212C2×Dic244C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758200C2311yescharacteristic
217C2×#11758199C2311yescharacteristic
218C2×#11758199C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×#11758189C2311yescharacteristic
222C2×#11758189C2311yescharacteristic
223C2×C8×D61C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225#14519777C2311yescharacteristic
226#14519775—21no—
227#14519774C2311yescharacteristic
228#14519772—21no—
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519769C2311yescharacteristic
240#14519769C2311yescharacteristic
241#14519768—21no—
242#14519768—21no—
243#14519768—21no—
244#14519768—21no—
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519766—21no—
255#14519766—21no—
256#14519765C2311yescharacteristic
257#14519765C2311yescharacteristic
258#14519764C2311yescharacteristic
259#14519762—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519762—21no—
264#14519762—21no—
265#14519762—21no—
266#14519762—21no—
267#14519761—21no—
268#14519761—21no—
269#14519760—21no—
270#14519760—21no—
271#14519759—21no—
272#14519759—21no—
273#14519759—21no—
274#14519759—21no—
275#14519759—21no—
276#14519757—21no—
277#14519757C2311yescharacteristic
278#14519757C2311yescharacteristic
279#14519757C2311yescharacteristic
280#14519757C2311yescharacteristic
281#14519757C2311yescharacteristic
282#14519756—21no—
283#14519753—21no—
284#14519753—21no—
285#14519753—21no—
286#14519753—21no—
287#14519753—21no—
288#14519752—21no—
289#14519752—21no—
290#14519752—21no—
291#14519752C2311yescharacteristic
292#14519752C2311yescharacteristic
293#14519752C2311yescharacteristic
294#14519752C2311yescharacteristic
295#14519751—21no—
296#14519751—21no—
297#14519751—21no—
298#14519750—21no—
299#14519750—21no—
300#14519748C2311yescharacteristic
301#14519748C2311yescharacteristic
302#14519748C2311yescharacteristic
303#14519747—21no—
304#14519747—21no—
305#14519747—21no—
306#14519747—21no—
307Q8×Dic61—21no—
308Q8×Dic61D411yescharacteristic
309C4×Dic122C2311yescharacteristic
310C4×Dic122C2311yescharacteristic
311C4×Dic122C2311yescharacteristic
312C4×Dic122C2311yescharacteristic
313#14519742—21no—
314#14519742—21no—
315#14519742C2311yescharacteristic
316C4×D244C2311yescharacteristic
317C4×D244C2311yescharacteristic
318C4×D244C2311yescharacteristic
319C4×D244C2311yescharacteristic
320C4×D244C2311yescharacteristic
321D4×Dic61C2311yescharacteristic
322#14519739—21no—
323#14519739—21no—
324#14519739—21no—
325#14519739—21no—
326#14519739—21no—
327#14519739—21no—
328#14519739—21no—
329#14519739—21no—
330#14519739D411yescharacteristic
331#14519739D411yescharacteristic
332#14519739D411yescharacteristic
333#14519739C2311yescharacteristic
334#14519739C2311yescharacteristic
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61—21no—
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519736—21no—
347#14519736—21no—
348#14519736—21no—
349#14519735—21no—
350#14519735—21no—
351#14519735—21no—
352#14519735—21no—
353#14519735D411yescharacteristic
354#14519735D411yescharacteristic
355#14519735D411yescharacteristic
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519733—21no—
360C4⋊C4×D61—21no—
361C4⋊C4×D61—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61C2311yescharacteristic
365C4⋊C4×D61C2311yescharacteristic
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C2×#11758198—21no—
371C2×#11758198—21no—
372C22⋊C4×D61—21no—
373C22⋊C4×D61—21no—
374C2×C4×Dic61—21no—
375C42×D61C2311yescharacteristic
376C42×D61C2311yescharacteristic
377C42×D61C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
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
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519688C2311yescharacteristic
433#14519688C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C2×D8×C61C2311yescharacteristic
436C4⋊Q8×C61C2311yescharacteristic
437C4⋊Q8×C61C2311yescharacteristic
438#125×C61C2311yescharacteristic
439#125×C61C2311yescharacteristic
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442C22⋊Q8×C61—21no—
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C4×Q8×C61C2311yescharacteristic
449C4×D4×C61C2311yescharacteristic
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C2×C4⋊C4×C61—21no—
456C2×C4⋊C4×C61—21no—
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61C2×D411yescharacteristic
483C2×D4×C61C2411yescharacteristic
484C2×D4×C61C2411yescharacteristic
485C22×C4×C61—21no—
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—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C22×Dic61—21no—
498C22×Dic61—21no—
499#11758226—42no—
500#11758226—82no—
501#11758224—22no—
502#11758224—41no—
503D4×D61—22no—
504D4×D61—22no—
505D4×D61—41no—
506D4×D61—41no—
507#11758222—44no—
508C2×D244—21no—
509C2×D244—21no—
510C2×D244—21no—
511C2×D244—21no—
512C2×D244—21no—
513C2×D244—21no—
514C2×D244—44no—
515C2×D244C2×D411yescharacteristic
516C2×D244C2×D411yescharacteristic
517C2×D244C2×D411yescharacteristic
518C2×D244C2411yescharacteristic
519C2×D244C2411yescharacteristic
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—82no—
531C2×C4×D61—82no—
532C2×C4×D61C2×D411yescharacteristic
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×C4×D61C2411yescharacteristic
540C2×C4×D61C2411yescharacteristic
541C2×Dic122—21no—
542C2×Dic122C2411yescharacteristic
543C2×Dic122C2411yescharacteristic
544D8×C61—22no—
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2×D411yescharacteristic
561C4⋊C4×C61C2×D411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C42×C61C2411yescharacteristic
575C42×C61C2411yescharacteristic
576C42×C61C2411yescharacteristic
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583#11758200—22no—
584#11758200—41no—
585#11758199—41no—
586#11758199—41no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198C2×D411yescharacteristic
608#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610#11758198C2×D411yescharacteristic
611#11758198C2×D411yescharacteristic
612#11758198C2×D411yescharacteristic
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61C2×D411yescharacteristic
623C4⋊Dic61C2×D411yescharacteristic
624C4⋊Dic61C2×D411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—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×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666Dic244—41no—
667#11758190—41no—
668#11758190—41no—
669#11758189—41no—
670#11758189—41no—
671#11758189—41no—
672#11758189—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61—21no—
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—42no—
680C22×D61—42no—
681C22×D61—42no—
682C22×D61—42no—
683C22×D61—81no—
684C22×D61—81no—
685C22×D61C22×D411yescharacteristic
686C22×D61C22×D411yescharacteristic
687C22×D61C22×D411yescharacteristic
688Q8×C61—41no—
689Q8×C61—81no—
690Q8×C61—81no—
691D4×C61—21no—
692D4×C61—21no—
693D4×C61—21no—
694D4×C612−1+412yes—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—42no—
702C2×C4×C61—42no—
703C2×C4×C61—81no—
704C2×C4×C61—81no—
705C2×C4×C61—81no—
706C2×C4×C61—81no—
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C2511yescharacteristic
714C22⋊D61—42no—
715C22⋊D61—42no—
716C22⋊D61—42no—
717C22⋊D61—42no—
718C22⋊D61—42no—
719C22⋊D61—81no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—42no—
727C2×Dic61—42no—
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733D244—22no—
734D244—22no—
735D244—21no—
736D244—21no—
737D244—21no—
738D244—21no—
739D244—41no—
740D244—42no—
741D244—42no—
742D244—42no—
743D244—81no—
744D244—81no—
745D244—81no—
746C4×D61—22no—
747C4×D61—21no—
748C4×D61—21no—
749C4×D61—21no—
750C4×D61—21no—
751C4×D61—21no—
752C4×D61—21no—
753C4×D61—41no—
754C4×D61—41no—
755C4×D61—41no—
756C4×D61—41no—
757C4×D61—41no—
758C4×D61—42no—
759C4×D61—42no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767C4×D61—81no—
768Dic122—21no—
769Dic122—21no—
770Dic122—21no—
771Dic122—21no—
772Dic122—42no—
773C8×C61—21no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62119—611nomaximal, Sylow
782C22×C61—22no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61C23×D411yescharacteristic
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—21no—
792C2×D61—21no—
793C2×D61—21no—
794C2×D61—21no—
795C2×D61—21no—
796C2×D61—21no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—84no—
804C2×D61—84no—
805C2×D61#57512yes—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—21no—
811C4×C61—21no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61—41no—
817C4×C61—41no—
818C4×C61C2×2−1+411yescharacteristic
819C4×C61#58511yescharacteristic
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—21no—
824Dic61—21no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831#3515—611no—
832#3481—611no—
833#3389D6111yescharacteristic, complemented
834#3388—611no—
835#3371—611no—
836#3370—611no—
837#3355—611no—
838#3351—611no—
839#3346—611no—
840#3346—611no—
841#3345—611no—
842#3344—611no—
843#3323—611no—
844#3322—611no—
845#3318—611no—
846#3314—611no—
847#3310—611no—
848#3306—611no—
849#3256—611no—
850#3251—611no—
851#3250—611no—
852#3240—611no—
853#3234—611no—
854#3232—611no—
855#3114—611no—
856#3111—611no—
857#3105—611no—
858#3080—611no—
859#3077—611no—
860C2×#478—611no—
861#2989—611no—
862C2×C61—42no—
863C2×C61—81no—
864C2×C61#348911yescharacteristic
865C2×C61C2×#57511yescharacteristic
866C2×C61#358511yescharacteristic
867D61—22no—
868D61—41no—
869D61—41no—
870D61—81no—
871D61—81no—
872#559—611no—
873#557—611no—
874#554—611no—
875#554—611no—
876#554C2×D6111yescharacteristic
877#554C2×D6111yescharacteristic, complemented
878#553—611no—
879#553—611no—
880#553—611no—
881#553—611no—
882#553—1221no—
883#552—611no—
884#552—611no—
885#552—1221no—
886#552—1221no—
887#552—1221no—
888#551—1221no—
889#551—1221no—
890#547—611no—
891#547—1221no—
892#546—611no—
893#546—611no—
894#546—1221no—
895D42—611no—
896#541—1221no—
897#539—1221no—
898#539—1221no—
899#533—611no—
900#532—611no—
901#529—611no—
902#529—611no—
903#529—611no—
904#529—611no—
905#529—611no—
906#529—1221no—
907C2×#125—611no—
908C2×#125—611no—
909#525—1221no—
910#525—1221no—
911#520—1221no—
912C4×#41—611no—
913C4×#41—611no—
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—1221no—
917#501—611no—
918#501—611no—
919#501C2×D6111yescharacteristic, complemented
920#501C2×D6111yescharacteristic, complemented
921#499—611no—
922#499C2×D6111yescharacteristic, complemented
923#490—611no—
924#490—611no—
925#489—611no—
926#489—611no—
927#488—611no—
928#488—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#484—611no—
933#484—611no—
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482—611no—
939#481—611no—
940#481—611no—
941#481—611no—
942#481—611no—
943#480—611no—
944#480—611no—
945#480—611no—
946#480—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478—611no—
962#478—611no—
963#478—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478C2×D6111yescharacteristic
968#478C2×D6111yescharacteristic
969#478C2×D6111yescharacteristic, complemented
970#478C2×D6111yescharacteristic, complemented
971#476—611no—
972#476—611no—
973#475—611no—
974#474—611no—
975#474C2×D6111yescharacteristic
976#474C2×D6111yescharacteristic, complemented
977#470—611no—
978#469—611no—
979#469—611no—
980#469—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#468—611no—
985#467—611no—
986#466—611no—
987#465—611no—
988#465—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#463—611no—
993#463—611no—
994#463—611no—
995#463—611no—
996#463—611no—
997#460—611no—
998#459—611no—
999#452—611no—
1000#450—611no—
1001#450—611no—
1002#449—611no—
1003#447—611no—
1004#447—611no—
1005#446—611no—
1006#446C2×D6111yescharacteristic, complemented
1007#442—611no—
1008#442C2×D6111yescharacteristic
1009#442C2×D6111yescharacteristic
1010#441—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×D8—611no—
1018C4×D8C2×D6111yescharacteristic
1019#436—611no—
1020#436—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#435—611no—
1025#432—611no—
1026#432—611no—
1027#431—611no—
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#428—611no—
1032C2×#107—611no—
1033C2×#106—611no—
1034#423—611no—
1035#423—611no—
1036C2×C4⋊C8—611no—
1037#418—611no—
1038#418—611no—
1039#417—611no—
1040#417—611no—
1041C2×#102—611no—
1042C2×#102—611no—
1043C61#6211911yescharacteristic, complemented, Sylow
1044C2×#41—611no—
1045C2×#41—611no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C22×D4—611no—
1049C22×D4—611no—
1050C22×D4—1221no—
1051C23×C4—1221no—
1052C23×C4—1221no—
1053C2×Q16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16—611no—
1057C2×SD16—611no—
1058C2×D8—611no—
1059C2×D8—611no—
1060C2×D8C22×D6111yescharacteristic
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16—611no—
1064C2×M16—611no—
1065C22×C8—611no—
1066C22×C8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—1221no—
1069C4⋊Q8C22×D6111yescharacteristic
1070C4⋊Q8C22×D6111yescharacteristic
1071#127—611no—
1072#126—1221no—
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—1221no—
1089#125—1221no—
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#125C22×D6111yescharacteristic
1100#125C22×D6111yescharacteristic
1101#125C22×D6111yescharacteristic
1102#124—611no—
1103#124—611no—
1104#124—611no—
1105#124—1221no—
1106#124—1221no—
1107#123—1221no—
1108#123—1221no—
1109#123—1221no—
1110#123—1221no—
1111#123—1221no—
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—21no—
1126C22⋊Q8—21no—
1127C22⋊Q8—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—611no—
1131C22⋊Q8—611no—
1132C22⋊Q8—611no—
1133C22⋊Q8—611no—
1134C22⋊Q8—611no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—611no—
1148#121—611no—
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#120—1221no—
1158#120—1221no—
1159#120—1221no—
1160#120—1221no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8C22×D6111yescharacteristic
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—1221no—
1183C4×D4—1221no—
1184C4×D4—1221no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
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×D4C22×D6111yescharacteristic
1202C4×D4C22×D6111yescharacteristic
1203C4×D4C22×D6111yescharacteristic
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—21no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—611no—
1228C2×C4⋊C4—611no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C4⋊C4—1221no—
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C22⋊C4—1221no—
1236C2×C22⋊C4—1221no—
1237C2×C42—611no—
1238C2×C42—611no—
1239C2×C42—611no—
1240C2×C42—1221no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107C22×D6111yescharacteristic
1249#107C22×D6111yescharacteristic
1250#107C22×D6111yescharacteristic
1251#107C22×D6111yescharacteristic
1252#107C22×D6111yescharacteristic
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106C22×D6111yescharacteristic
1262#106C22×D6111yescharacteristic
1263#106C22×D6111yescharacteristic
1264#106C22×D6111yescharacteristic
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8C22×D6111yescharacteristic
1273C4⋊C8C22×D6111yescharacteristic
1274C4⋊C8C22×D6111yescharacteristic
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#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102C22×D6111yescharacteristic
1302#102C22×D6111yescharacteristic
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305#102C22×D6111yescharacteristic
1306#102C22×D6111yescharacteristic
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8—611no—
1312C22⋊C8—611no—
1313#97—611no—
1314#97—611no—
1315#97C22×D6111yescharacteristic
1316#97C22×D6111yescharacteristic
1317C4×C8—611no—
1318C4×C8C22×D6111yescharacteristic
1319C24—1221no—
1320C24—1221no—
1321#41—1222no—
1322#41—4882no—
1323#41—2444no—
1324#41—2441no—
1325#41—2442no—
1326C2×Q8—21no—
1327C2×Q8—21no—
1328C2×Q8—611no—
1329C2×Q8—611no—
1330C2×Q8—1221no—
1331C2×Q8D4×D6111yescharacteristic
1332C2×D4—611no—
1333C2×D4—611no—
1334C2×D4—611no—
1335C2×D4—611no—
1336C2×D4—611no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1222no—
1344C2×D4—1222no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—2444no—
1352C2×D4—2441no—
1353C2×D4—2441no—
1354C2×D4C23×D6111yescharacteristic
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—4882no—
1384C22×C4—4882no—
1385Q16—2441no—
1386SD16—1222no—
1387SD16—2441no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—22no—
1391D8—2441no—
1392D8—2441no—
1393M16—2441no—
1394M16—2441no—
1395M16—2441no—
1396M16—2441no—
1397C2×C8—611no—
1398C2×C8—611no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—2441no—
1402C2×C8—2441no—
1403C2×C8C23×D6111yescharacteristic
1404C2×C8C23×D6111yescharacteristic
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
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⋊C4—1221no—
1451C4⋊C4D4×D6111yescharacteristic
1452C4⋊C4D4×D6111yescharacteristic
1453C4⋊C4D4×D6111yescharacteristic
1454C4⋊C4C23×D6111yescharacteristic
1455C4⋊C4C23×D6111yescharacteristic
1456C4⋊C4C23×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C4⋊C4C23×D6111yescharacteristic
1459C4⋊C4C23×D6111yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—611no—
1467C22⋊C4—611no—
1468C22⋊C4—611no—
1469C22⋊C4—611no—
1470C22⋊C4—611no—
1471C22⋊C4—611no—
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⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C42—611no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42C23×D6111yescharacteristic
1514C42C23×D6111yescharacteristic
1515C42C23×D6111yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—611no—
1519C23—611no—
1520C23—611no—
1521C23—1221no—
1522C23—1221no—
1523C23—4881no—
1524C23—4881no—
1525C23—2442no—
1526C23—2442no—
1527C23—2442no—
1528C23—2442no—
1529Q8—41no—
1530Q8—81no—
1531Q8—81no—
1532Q8—1221no—
1533Q8—1221no—
1534Q8—1221no—
1535Q8—1221no—
1536Q8—2442no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—1222no—
1541D4—1222no—
1542D4—1221no—
1543D4—1221no—
1544D4—1221no—
1545D4—1221no—
1546D4—4881no—
1547D4—4881no—
1548D4—4881no—
1549D4—4881no—
1550D4—2441no—
1551D4—2442no—
1552D4—2442no—
1553D4—2442no—
1554D4—2442no—
1555D4—2442no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
1559D4#1451982512yes—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—42no—
1567C2×C4—42no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—611no—
1573C2×C4—611no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—1222no—
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—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—4881no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—2441no—
1597C2×C4—2441no—
1598C2×C4—2441no—
1599C2×C4—2441no—
1600C2×C4—2441no—
1601C2×C4—2442no—
1602C2×C4—2442no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4—2442no—
1607C2×C4C2×D4×D6111yescharacteristic
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C2×D4×D6111yescharacteristic
1613C2×C4C24×D6111yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C8—1221no—
1622C22—22no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—612no—
1629C22—1221no—
1630C22—1221no—
1631C22—1221no—
1632C22—1221no—
1633C22—1221no—
1634C22—1221no—
1635C22—1221no—
1636C22—1221no—
1637C22—4884no—
1638C22—4884no—
1639C22—2441no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22—2441no—
1645C22C22×D4×D6111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—1221no—
1662C4—1221no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C4C2×#1451982511yescharacteristic
1670C4#1684059911yescharacteristic
1671C2—42no—
1672C2—81no—
1673C2—1222no—
1674C2—4881no—
1675C2—4881no—
1676C2—2441no—
1677C2—2441no—
1678C2#2145949611yescharacteristic
1679C2#575×D6111yescharacteristic
1680C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3389C2
socleC22×C61C23×D4
hypercenter#3389D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

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

NH ≅ G/Ntype
1. #21459800C2semidirect
2. #21459430C2semidirect
3. #21458764C2semidirect
4. #21458589C2semidirect
5. #21458572C2semidirect
6. #21458422C2semidirect
7. #21458378C2semidirect
8. #21458303C2semidirect
9. #21458301C2semidirect
10. #21458286C2semidirect
11. #21458273C2semidirect
12. #21458032C2semidirect
13. #21458025C2semidirect
14. #21457965C2semidirect
15. #21457897C2semidirect
16. #21457837C2semidirect
17. #21457785C2semidirect
18. #21457219C2semidirect
19. #21457183C2semidirect
20. #21457170C2semidirect
21. #21457060C2semidirect
22. #21457010C2semidirect
23. #21456988C2semidirect
24. #21455955C2semidirect
25. #21455924C2semidirect
26. #21455864C2semidirect
27. #21455636C2semidirect
28. #21455611C2semidirect
29. #478×D61C2semidirect
30. #21454935C2semidirect
31. C61×#3389C2semidirect
33. #16840490C22semidirect
35. #16840473C22semidirect
39. #16840462C22semidirect
42. #16840450C22semidirect
48. #16840417C22semidirect
57. #16840317C22semidirect
62. #16840294C22semidirect
63. #16840294C22semidirect
64. #16840294C22semidirect
65. #125×D61C22semidirect
66. #125×D61C22semidirect
75. #16840172C22semidirect
76. #16840168C22semidirect
77. #16840161C22semidirect
80. #16840124C22semidirect
81. #16840122C22semidirect
82. #16840119C22semidirect
83. #16840117C22semidirect
84. #16840106C22semidirect
85. #16840105C22semidirect
86. #16840105C22semidirect
87. #16840099C22semidirect
88. #16840099C22semidirect
89. #16840094C22semidirect
90. #16840094C22semidirect
93. #16840085C22semidirect
95. #16840082C22semidirect
96. #16840082C22semidirect
97. #16840079C22semidirect
99. #16840077C22semidirect
100. #16840077C22semidirect
101. #16840074C22semidirect
102. #16840072C22semidirect
103. #16840072C22semidirect
104. #16840070C22semidirect
105. #16840068C22semidirect
106. #16840066C22semidirect
107. #16840066C22semidirect
108. #16840066C22semidirect
109. #16840065C22semidirect
110. #16840065C22semidirect
111. #16840065C22semidirect
112. #16840065C22semidirect
115. #16840063C22semidirect
118. #16840061C22semidirect
119. #16840061C22semidirect
121. #16840059C22semidirect
122. #16840053C22semidirect
124. #16840044C22semidirect
125. #16840039C22semidirect
126. #16840021C22semidirect
128. #16840014C22semidirect
129. #16840014C22semidirect
131. #16840009C22semidirect
132. #16840009C22semidirect
133. #16840007C22semidirect
134. #16840004C22semidirect
137. #16839990C22semidirect
138. #16839985C22semidirect
139. #16839985C22semidirect
140. #16839983C22semidirect
141. #16839977C22semidirect
142. #16839977C22semidirect
143. #16839976C22semidirect
144. #16839976C22semidirect
154. #16839893C22semidirect
155. #16839872C22semidirect
156. #16839870C22semidirect
157. #16839864C22semidirect
160. #16839862C22semidirect
161. C4×#11758190C22semidirect
163. C4×#11758199C22semidirect
164. #16839841C22semidirect
165. #16839839C22semidirect
167. #16839835C22semidirect
169. #16839832C22semidirect
170. #16839817C22semidirect
171. #16839817C22semidirect
172. #16839813C22semidirect
173. #16839803C22semidirect
174. #16839803C22semidirect
175. #16839803C22semidirect
176. #16839801C22semidirect
177. #107×D61C22semidirect
178. #106×D61C22semidirect
179. #16839784C22semidirect
180. #16839784C22semidirect
181. C4⋊C8×D61C22semidirect
189. C61×#554C22semidirect
190. C61×#501C22semidirect
191. C61×#501C22semidirect
192. C61×#499C22semidirect
195. C61×#478C22semidirect
196. C61×#478C22semidirect
198. C61×#474C22semidirect
199. C61×#446C22semidirect
833. #3389D61semidirect
877. #554C2×D61semidirect
919. #501C2×D61semidirect
920. #501C2×D61semidirect
922. #499C2×D61semidirect
969. #478C2×D61semidirect
970. #478C2×D61semidirect
976. #474C2×D61semidirect
1006. #446C2×D61semidirect
1043. C61#62119semidirect

Maximal subgroups

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

subgroupindex
#214598002
#214594302
#214587642
#214585892
#214585722
#214584222
#214583782
#214583032
#214583012
#214582862
#214582732
#214580322
#214580252
#214579652
#214578972
#214578372
#214577852
#214572192
#214571832
#214571702
#214570602
#214570102
#214569882
#214559552
#214559242
#214558642
#214556362
#214556112
#478×D612
#214549352
C61×#33892
#6211961