Finite Group Databasebeta

← #30575995

Subgroups — #30575995

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#21459428C211yesmaximal, characteristic, complemented
3#21458773C211yesmaximal, characteristic, complemented
4#21458766C211yesmaximal, characteristic, complemented
5#21458581C211yesmaximal, characteristic, complemented
6#21458426C211yesmaximal, characteristic, complemented
7#21458386C211yesmaximal, characteristic, complemented
8#21458309C211yesmaximal, characteristic, complemented
9#21458301C211yesmaximal, characteristic, complemented
10#21458294C211yesmaximal, characteristic, complemented
11#21458281C211yesmaximal, characteristic, complemented
12#21458034C211yesmaximal, characteristic, complemented
13#21458027C211yesmaximal, characteristic, complemented
14#21457967C211yesmaximal, characteristic, complemented
15#21457899C211yesmaximal, characteristic, complemented
16#21457839C211yesmaximal, characteristic, complemented
17#21457787C211yesmaximal, characteristic, complemented
18#21457217C211yesmaximal, characteristic, complemented
19#21457177C211yesmaximal, characteristic, complemented
20#21457168C211yesmaximal, characteristic, complemented
21#21457054C211yesmaximal, characteristic, complemented
22#21457004C211yesmaximal, characteristic, complemented
23#21456982C211yesmaximal, characteristic, complemented
24#21455955C211yesmaximal, characteristic, complemented
25#21455926C211yesmaximal, characteristic, complemented
26#21455864C211yesmaximal, characteristic, complemented
27#21455638C211yesmaximal, characteristic, complemented
28#21455611C211yesmaximal, characteristic, complemented
29#478×D61C211yesmaximal, characteristic, complemented
30#21454935C211yesmaximal, characteristic, complemented
31C61×#3370C211yesmaximal, characteristic, complemented
32#16840490C2211yescharacteristic, complemented
33#16840473C2211yescharacteristic, complemented
34#16840472C2211yescharacteristic
35#16840472C2211yescharacteristic
36#16840462—21no—
37#16840462C2211yescharacteristic
38#16840462C2211yescharacteristic
39#16840462C2211yescharacteristic
40#16840462C2211yescharacteristic, complemented
41#16840450C2211yescharacteristic
42#16840450C2211yescharacteristic, complemented
43#16840447—21no—
44#16840446—21no—
45#16840446—21no—
46#16840440—21no—
47#16840440—21no—
48#16840417C2211yescharacteristic, complemented
49#16840414—21no—
50#16840405—21no—
51#16840405C2211yescharacteristic
52#16840405C2211yescharacteristic
53#16840397C2211yescharacteristic
54#16840372—21no—
55#16840358—21no—
56#16840358—21no—
57#16840317C2211yescharacteristic, complemented
58#16840310C2211yescharacteristic
59#16840294C2211yescharacteristic, complemented
60#16840294C2211yescharacteristic, complemented
61#16840294C2211yescharacteristic, complemented
62#16840291—21no—
63#16840291C2211yescharacteristic
64#16840291C2211yescharacteristic
65#125×D61C2211yescharacteristic, complemented
66#125×D61C2211yescharacteristic, complemented
67#16840270—21no—
68#16840270—21no—
69#16840243—21no—
70C4×#11758226C2211yescharacteristic
71C4×#11758226C2211yescharacteristic
72C4×D4×D61—21no—
73C4×D4×D61C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840171C2211yescharacteristic, complemented
77#16840171C2211yescharacteristic, complemented
78#16840168C2211yescharacteristic, complemented
79#16840164C2211yescharacteristic, complemented
80#16840161C2211yescharacteristic, complemented
81#16840126C2211yescharacteristic
82#16840121C2211yescharacteristic, complemented
83#16840116C2211yescharacteristic, complemented
84#16840105C2211yescharacteristic, complemented
85#16840101C2211yescharacteristic, complemented
86#16840101C2211yescharacteristic, complemented
87#16840099C2211yescharacteristic, complemented
88#16840096C2211yescharacteristic, complemented
89#16840094C2211yescharacteristic, complemented
90#16840091C2211yescharacteristic, complemented
91#16840084C2211yescharacteristic
92#16840084C2211yescharacteristic
93#16840084C2211yescharacteristic, complemented
94#16840079C2211yescharacteristic
95#16840079C2211yescharacteristic, complemented
96#16840079C2211yescharacteristic, complemented
97#16840079C2211yescharacteristic, complemented
98#16840074C2211yescharacteristic
99#16840074C2211yescharacteristic, complemented
100#16840074C2211yescharacteristic, complemented
101#16840074C2211yescharacteristic, complemented
102#16840071C2211yescharacteristic, complemented
103#16840071C2211yescharacteristic, complemented
104#16840070C2211yescharacteristic, complemented
105#16840070C2211yescharacteristic, complemented
106#16840069C2211yescharacteristic, complemented
107#16840067C2211yescharacteristic, complemented
108#16840065C2211yescharacteristic
109#16840065C2211yescharacteristic
110#16840064C2211yescharacteristic, complemented
111#16840064C2211yescharacteristic, complemented
112#16840064C2211yescharacteristic, complemented
113#16840064C2211yescharacteristic, complemented
114#16840063C2211yescharacteristic
115#16840063C2211yescharacteristic
116#16840062C2211yescharacteristic, complemented
117#16840062C2211yescharacteristic, complemented
118#16840062C2211yescharacteristic, complemented
119#16840061C2211yescharacteristic
120#16840060C2211yescharacteristic, complemented
121#16840060C2211yescharacteristic, complemented
122#16840059C2211yescharacteristic
123#16840059C2211yescharacteristic
124#16840053C2211yescharacteristic
125#16840052C2211yescharacteristic, complemented
126#16840048C2211yescharacteristic, complemented
127#16840042C2211yescharacteristic, complemented
128#16840039C2211yescharacteristic
129#16840019C2211yescharacteristic, complemented
130#16840012C2211yescharacteristic
131#16840012C2211yescharacteristic, complemented
132#16840012C2211yescharacteristic, complemented
133#16840007C2211yescharacteristic
134#16840007C2211yescharacteristic, complemented
135#16840007C2211yescharacteristic, complemented
136#16840005C2211yescharacteristic, complemented
137#16840002C2211yescharacteristic, complemented
138#16839995C2211yescharacteristic
139#16839990C2211yescharacteristic
140#16839988C2211yescharacteristic, complemented
141#16839982C2211yescharacteristic, complemented
142#16839981C2211yescharacteristic, complemented
143#16839981C2211yescharacteristic, complemented
144#16839976C2211yescharacteristic
145#16839975C2211yescharacteristic, complemented
146#16839975C2211yescharacteristic, complemented
147#16839959C2211yescharacteristic
148#16839927C2211yescharacteristic
149#16839914C2211yescharacteristic
150#16839914C2211yescharacteristic
151#16839906C2211yescharacteristic
152#16839894C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839893C2211yescharacteristic, complemented
155#16839872C2211yescharacteristic
156#16839872C2211yescharacteristic
157#16839867C2211yescharacteristic, complemented
158#16839864C2211yescharacteristic
159#16839864C2211yescharacteristic
160#16839862C2211yescharacteristic, complemented
161C4×#11758190C2211yescharacteristic
162C4×#11758200C2211yescharacteristic, complemented
163C4×#11758199C2211yescharacteristic
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#16839762C2211yescharacteristic
185#16839762C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#559C2211yescharacteristic
189C61×#554C2211yescharacteristic, complemented
190C61×#490C2211yescharacteristic
191C61×#489C2211yescharacteristic, complemented
192C61×#488C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#478C2211yescharacteristic, complemented
195C61×#474C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#463C2211yescharacteristic, complemented
198C61×#459C2211yescharacteristic
199C61×#446C2211yescharacteristic, complemented
200C61×#442C2211yescharacteristic, complemented
201C61×#440C2211yescharacteristic, complemented
202C4×D8×C61C2211yescharacteristic, complemented
203C2×#11758226D411yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758224—21no—
207C2×D4×D61—21no—
208C2×D4×D61C2311yescharacteristic
209C2×D4×D61C2311yescharacteristic
210C22×C4×D61—21no—
211C22×C4×D61—21no—
212C2×#11758202C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758199C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C2×#11758189C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223#14519777C2311yescharacteristic
224#14519777C2311yescharacteristic
225#14519775—21no—
226#14519772—21no—
227#14519772—21no—
228#14519770—21no—
229#14519770—21no—
230#14519770—21no—
231#14519770—21no—
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519769—21no—
238#14519769C2311yescharacteristic
239#14519769C2311yescharacteristic
240#14519769C2311yescharacteristic
241#14519769C2311yescharacteristic
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#14519764—21no—
255#14519764C2311yescharacteristic
256#14519762—21no—
257#14519762—21no—
258#14519760—21no—
259#14519760—21no—
260#14519760—21no—
261#14519760—21no—
262#14519759—21no—
263#14519759—21no—
264#14519759—21no—
265#14519759—21no—
266#14519759—21no—
267#14519759—21no—
268#14519759—21no—
269#14519759—21no—
270#14519759—21no—
271#14519757—21no—
272#14519757C2311yescharacteristic
273#14519757C2311yescharacteristic
274#14519757C2311yescharacteristic
275#14519756—21no—
276#14519755—21no—
277#14519755—21no—
278#14519755—21no—
279#14519755—21no—
280#14519753—21no—
281#14519753—21no—
282#14519753—21no—
283#14519753—21no—
284#14519753C2311yescharacteristic
285#14519753C2311yescharacteristic
286#14519750—21no—
287#14519750—21no—
288#14519750—21no—
289#14519750—21no—
290#14519750—21no—
291#14519750—21no—
292#14519748—21no—
293#14519748—21no—
294#14519748C2311yescharacteristic
295#14519748C2311yescharacteristic
296#14519748C2311yescharacteristic
297#14519748C2311yescharacteristic
298#14519748C2311yescharacteristic
299#14519748C2311yescharacteristic
300#14519748C2311yescharacteristic
301#14519747—21no—
302#14519747—21no—
303#14519745—21no—
304#14519745—21no—
305Q8×Dic61—21no—
306Q8×Dic61D411yescharacteristic
307Q8×Dic61C2311yescharacteristic
308C4×Dic122C2311yescharacteristic
309C4×Dic122C2311yescharacteristic
310C4×Dic122C2311yescharacteristic
311#14519742—21no—
312#14519742—21no—
313C4×D244—21no—
314C4×D244—21no—
315C4×D244C2311yescharacteristic
316C4×D244C2311yescharacteristic
317C4×D244C2311yescharacteristic
318C4×D244C2311yescharacteristic
319C4×D244C2311yescharacteristic
320C4×D244C2311yescharacteristic
321D4×Dic61—21no—
322D4×Dic61C2311yescharacteristic
323D4×Dic61C2311yescharacteristic
324#14519739—21no—
325#14519739—21no—
326#14519739D411yescharacteristic
327#14519739D411yescharacteristic
328#14519739D411yescharacteristic
329#14519739C2311yescharacteristic
330C4×C22⋊D61—21no—
331C4×C22⋊D61—21no—
332C4×C22⋊D61—21no—
333C4×C22⋊D61—21no—
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519736—21no—
344#14519736—21no—
345#14519736—21no—
346#14519735—21no—
347#14519735—21no—
348#14519735—21no—
349#14519735D411yescharacteristic
350#14519735D411yescharacteristic
351#14519735D411yescharacteristic
352#14519735C2311yescharacteristic
353#14519735C2311yescharacteristic
354#14519735C2311yescharacteristic
355#14519733—21no—
356#14519733—21no—
357C4⋊C4×D61—21no—
358C4⋊C4×D61—21no—
359C4⋊C4×D61—21no—
360C4⋊C4×D61—21no—
361C4⋊C4×D61—21no—
362C4⋊C4×D61C2311yescharacteristic
363C4⋊C4×D61C2311yescharacteristic
364C4⋊C4×D61C2311yescharacteristic
365C4⋊C4×D61C2311yescharacteristic
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C22⋊C4×D61—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C22⋊C4×D61—21no—
372C42×D61—21no—
373C42×D61C2311yescharacteristic
374C42×D61C2311yescharacteristic
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
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×SD16×C61C2311yescharacteristic
436C2×D8×C61C2311yescharacteristic
437C2×D8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#127×C61C2311yescharacteristic
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442#124×C61—21no—
443#124×C61C2311yescharacteristic
444#124×C61C2311yescharacteristic
445#123×C61—21no—
446#123×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61—21no—
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C2×C4⋊C4×C61—21no—
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462C4⋊C8×C61C2311yescharacteristic
463C4⋊C8×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#102×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2×D411yescharacteristic
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61C2411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C2×C22⋊D61—21no—
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—
502C22×Dic61—21no—
503C22×Dic61—21no—
504#11758226—22no—
505#11758226—42no—
506#11758226—41no—
507#11758224—82no—
508D4×D61—22no—
509D4×D61—22no—
510D4×D61—41no—
511D4×D61—41no—
512D4×D61—44no—
513#11758222—44no—
514C2×D244—21no—
515C2×D244C2×D411yescharacteristic
516C2×D244C2×D411yescharacteristic
517C2×D244C2×D411yescharacteristic
518C2×D244C2411yescharacteristic
519C2×C4×D61—21no—
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×Dic122—21no—
543C2×Dic122C2411yescharacteristic
544SD16×C61—41no—
545D8×C61—41no—
546D8×C61—41no—
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
558C4⋊C4×C61C2×D411yescharacteristic
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C42×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—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588#11758202—41no—
589#11758200—41no—
590#11758200—41no—
591#11758199—22no—
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#11758198C2×D411yescharacteristic
605#11758198C2×D411yescharacteristic
606#11758198C2×D411yescharacteristic
607#11758198C2×D411yescharacteristic
608#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61C2×D411yescharacteristic
620C4⋊Dic61C2×D411yescharacteristic
621C4⋊Dic61C2×D411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668#11758190—22no—
669#11758189—41no—
670#11758189—41no—
671#11758189—41no—
672#11758189—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—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—21no—
689Q8×C61—21no—
690Q8×C61—41no—
691Q8×C61—81no—
692D4×C61—21no—
693D4×C61—21no—
694D4×C61—21no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—21no—
698D4×C61—42no—
699D4×C61—81no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—42no—
706C2×C4×C61—81no—
707C2×C4×C61—81no—
708C2×C4×C61—81no—
709C2×C4×C61—81no—
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C2511yescharacteristic
717C22⋊D61—42no—
718C22⋊D61—42no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—42no—
722C22⋊D61—42no—
723C22⋊D61—81no—
724C22⋊D61—81no—
725C22⋊D61—81no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—42no—
734C2×Dic61—42no—
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740D244—22no—
741D244—22no—
742D244—21no—
743D244—41no—
744D244—42no—
745D2442−1+412yes—
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—42no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767C4×D61—81no—
768C4×D61—81no—
769Dic122—21no—
770Dic122—21no—
771Dic122—42no—
772Dic122—81no—
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—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61C23×D411yescharacteristic
792C2×D61—21no—
793C2×D61—21no—
794C2×D61—21no—
795C2×D61—21no—
796C2×D61—21no—
797C2×D61—21no—
798C2×D61—22no—
799C2×D61—21no—
800C2×D61—21no—
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×C61C2×2−1+411yescharacteristic
818C4×C61#58511yescharacteristic
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—21no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831#3515—611no—
832#3481—611no—
833#3389—611no—
834#3388—611no—
835#3371—611no—
836#3370D6111yescharacteristic, complemented
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—81no—
863C2×C61—81no—
864C2×C61—81no—
865C2×C61#348911yescharacteristic
866C2×C61C2×#57511yescharacteristic
867C2×C61#358511yescharacteristic
868D61—22no—
869D61—41no—
870D61—41no—
871D61—42no—
872#559C2×D6111yescharacteristic
873#557—611no—
874#554—611no—
875#554—611no—
876#554—611no—
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#501—611no—
920#501—611no—
921#499—611no—
922#499—611no—
923#490—611no—
924#490C2×D6111yescharacteristic
925#489—611no—
926#489C2×D6111yescharacteristic, complemented
927#488—611no—
928#488C2×D6111yescharacteristic, complemented
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#479C2×D6111yescharacteristic, complemented
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#478—611no—
968#478—611no—
969#478—611no—
970#478C2×D6111yescharacteristic, complemented
971#476—611no—
972#476—611no—
973#475—611no—
974#474—611no—
975#474—611no—
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#463C2×D6111yescharacteristic, complemented
996#463C2×D6111yescharacteristic, complemented
997#460—611no—
998#459C2×D6111yescharacteristic
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#442—611no—
1009#442C2×D6111yescharacteristic, complemented
1010#441—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440C2×D6111yescharacteristic, complemented
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×D8—611no—
1018C4×D8C2×D6111yescharacteristic, complemented
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×SD16C22×D6111yescharacteristic
1058C2×D8—611no—
1059C2×D8C22×D6111yescharacteristic
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—611no—
1069C4⋊Q8—1221no—
1070C4⋊Q8C22×D6111yescharacteristic
1071#127C22×D6111yescharacteristic
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—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#125—1221no—
1099#125—1221no—
1100#125C22×D6111yescharacteristic
1101#125C22×D6111yescharacteristic
1102#124—21no—
1103#124—611no—
1104#124—1221no—
1105#124C22×D6111yescharacteristic
1106#124C22×D6111yescharacteristic
1107#123—21no—
1108#123—21no—
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—611no—
1128C22⋊Q8—611no—
1129C22⋊Q8—611no—
1130C22⋊Q8—611no—
1131C22⋊Q8—611no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
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—1221no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8C22×D6111yescharacteristic
1170C4×Q8C22×D6111yescharacteristic
1171C4×D4—21no—
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—611no—
1183C4×D4—611no—
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×D4—1221no—
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—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—611no—
1228C2×C4⋊C4—1221no—
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#107—611no—
1249#107—611no—
1250#107—611no—
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#106—611no—
1262#106—611no—
1263#106—611no—
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#103C22×D6111yescharacteristic
1283#103C22×D6111yescharacteristic
1284#103C22×D6111yescharacteristic
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#102C22×D6111yescharacteristic
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—2442no—
1325#41—2441no—
1326C2×Q8—21no—
1327C2×Q8—611no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8D4×D6111yescharacteristic
1331C2×Q8C23×D6111yescharacteristic
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—611no—
1335C2×D4—611no—
1336C2×D4—611no—
1337C2×D4—611no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1222no—
1342C2×D4—1222no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—2441no—
1351C2×D4—2441no—
1352C2×D4—2444no—
1353C2×D4C23×D6111yescharacteristic
1354C2×D4C23×D6111yescharacteristic
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—611no—
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—1221no—
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—41no—
1387SD16—1222no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—41no—
1391D8—41no—
1392D8—1222no—
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—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
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⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4D4×D6111yescharacteristic
1454C4⋊C4D4×D6111yescharacteristic
1455C4⋊C4D4×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—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—611no—
1470C22⋊C4—611no—
1471C22⋊C4—611no—
1472C22⋊C4—611no—
1473C22⋊C4—611no—
1474C22⋊C4—611no—
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—21no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—611no—
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—21no—
1519C23—611no—
1520C23—611no—
1521C23—611no—
1522C23—1221no—
1523C23—4881no—
1524C23—4881no—
1525C23—2442no—
1526C23—2442no—
1527C23—2442no—
1528C23—2442no—
1529Q8—21no—
1530Q8—21no—
1531Q8—41no—
1532Q8—81no—
1533Q8—1221no—
1534Q8—1221no—
1535Q8—4881no—
1536Q8—2442no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—21no—
1543D4—42no—
1544D4—81no—
1545D4—612no—
1546D4—1222no—
1547D4—1222no—
1548D4—1221no—
1549D4—4881no—
1550D4—4881no—
1551D4—4881no—
1552D4—2441no—
1553D4—2442no—
1554D4—2442no—
1555D4—2442no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
1559D4—2442no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—42no—
1566C2×C4—81no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—611no—
1571C2×C4—611no—
1572C2×C4—611no—
1573C2×C4—611no—
1574C2×C4—611no—
1575C2×C4—1222no—
1576C2×C4—1221no—
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—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—4881no—
1590C2×C4—4881no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—2441no—
1596C2×C4—2441no—
1597C2×C4—2441no—
1598C2×C4—2441no—
1599C2×C4—2441no—
1600C2×C4—2442no—
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—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—612no—
1632C22—1221no—
1633C22—1221no—
1634C22—1221no—
1635C22—1221no—
1636C22—1222no—
1637C22—1221no—
1638C22—1221no—
1639C22—1221no—
1640C22—1221no—
1641C22—4884no—
1642C22—4884no—
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—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—1221no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C42−1+4×D6111yescharacteristic
1670C4#1684059811yescharacteristic
1671C2—81no—
1672C2—81no—
1673C2—81no—
1674C2—1222no—
1675C2—2441no—
1676C2—2441no—
1677C2—2442no—
1678C2#2145949811yescharacteristic
1679C2#575×D6111yescharacteristic
1680C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3370C2
socleC22×C61C23×D4
hypercenter#3370D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3370

Complements

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

NH ≅ G/Ntype
1. #21459800C2semidirect
2. #21459428C2semidirect
3. #21458773C2semidirect
4. #21458766C2semidirect
5. #21458581C2semidirect
6. #21458426C2semidirect
7. #21458386C2semidirect
8. #21458309C2semidirect
9. #21458301C2semidirect
10. #21458294C2semidirect
11. #21458281C2semidirect
12. #21458034C2semidirect
13. #21458027C2semidirect
14. #21457967C2semidirect
15. #21457899C2semidirect
16. #21457839C2semidirect
17. #21457787C2semidirect
18. #21457217C2semidirect
19. #21457177C2semidirect
20. #21457168C2semidirect
21. #21457054C2semidirect
22. #21457004C2semidirect
23. #21456982C2semidirect
24. #21455955C2semidirect
25. #21455926C2semidirect
26. #21455864C2semidirect
27. #21455638C2semidirect
28. #21455611C2semidirect
29. #478×D61C2semidirect
30. #21454935C2semidirect
31. C61×#3370C2semidirect
32. #16840490C22semidirect
33. #16840473C22semidirect
40. #16840462C22semidirect
42. #16840450C22semidirect
48. #16840417C22semidirect
57. #16840317C22semidirect
59. #16840294C22semidirect
60. #16840294C22semidirect
61. #16840294C22semidirect
65. #125×D61C22semidirect
66. #125×D61C22semidirect
75. #16840172C22semidirect
76. #16840171C22semidirect
77. #16840171C22semidirect
78. #16840168C22semidirect
79. #16840164C22semidirect
80. #16840161C22semidirect
82. #16840121C22semidirect
83. #16840116C22semidirect
84. #16840105C22semidirect
85. #16840101C22semidirect
86. #16840101C22semidirect
87. #16840099C22semidirect
88. #16840096C22semidirect
89. #16840094C22semidirect
90. #16840091C22semidirect
93. #16840084C22semidirect
95. #16840079C22semidirect
96. #16840079C22semidirect
97. #16840079C22semidirect
99. #16840074C22semidirect
100. #16840074C22semidirect
101. #16840074C22semidirect
102. #16840071C22semidirect
103. #16840071C22semidirect
104. #16840070C22semidirect
105. #16840070C22semidirect
106. #16840069C22semidirect
107. #16840067C22semidirect
110. #16840064C22semidirect
111. #16840064C22semidirect
112. #16840064C22semidirect
113. #16840064C22semidirect
116. #16840062C22semidirect
117. #16840062C22semidirect
118. #16840062C22semidirect
120. #16840060C22semidirect
121. #16840060C22semidirect
125. #16840052C22semidirect
126. #16840048C22semidirect
127. #16840042C22semidirect
129. #16840019C22semidirect
131. #16840012C22semidirect
132. #16840012C22semidirect
134. #16840007C22semidirect
135. #16840007C22semidirect
136. #16840005C22semidirect
137. #16840002C22semidirect
140. #16839988C22semidirect
141. #16839982C22semidirect
142. #16839981C22semidirect
143. #16839981C22semidirect
145. #16839975C22semidirect
146. #16839975C22semidirect
154. #16839893C22semidirect
157. #16839867C22semidirect
160. #16839862C22semidirect
162. C4×#11758200C22semidirect
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
191. C61×#489C22semidirect
192. C61×#488C22semidirect
193. C61×#479C22semidirect
194. C61×#478C22semidirect
195. C61×#474C22semidirect
196. C61×#463C22semidirect
197. C61×#463C22semidirect
199. C61×#446C22semidirect
200. C61×#442C22semidirect
201. C61×#440C22semidirect
202. C4×D8×C61C22semidirect
836. #3370D61semidirect
877. #554C2×D61semidirect
926. #489C2×D61semidirect
928. #488C2×D61semidirect
953. #479C2×D61semidirect
970. #478C2×D61semidirect
976. #474C2×D61semidirect
995. #463C2×D61semidirect
996. #463C2×D61semidirect
1006. #446C2×D61semidirect
1009. #442C2×D61semidirect
1014. #440C2×D61semidirect
1018. C4×D8C2×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
#214594282
#214587732
#214587662
#214585812
#214584262
#214583862
#214583092
#214583012
#214582942
#214582812
#214580342
#214580272
#214579672
#214578992
#214578392
#214577872
#214572172
#214571772
#214571682
#214570542
#214570042
#214569822
#214559552
#214559262
#214558642
#214556382
#214556112
#478×D612
#214549352
C61×#33702
#6211961