Finite Group Databasebeta

← #30575822

Subgroups — #30575822

Order 15616.

1740 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459633C211yesmaximal, characteristic, complemented
2#21459409C211yesmaximal, characteristic
3#21458752C211yesmaximal, characteristic, complemented
4#21458746C211yesmaximal, characteristic, complemented
5#21458630C211yesmaximal, characteristic, complemented
6#21458628C211yesmaximal, characteristic, complemented
7#21458429C211yesmaximal, characteristic, complemented
8#21458427C211yesmaximal, characteristic, complemented
9#21458310C211yesmaximal, characteristic, complemented
10#21458306C211yesmaximal, characteristic, complemented
11#21458302C211yesmaximal, characteristic, complemented
12#21458298C211yesmaximal, characteristic, complemented
13#21458153C211yesmaximal, characteristic, complemented
14#21458150C211yesmaximal, characteristic, complemented
15#21457934C211yesmaximal, characteristic, complemented
16#21457930C211yesmaximal, characteristic, complemented
17#21457926C211yesmaximal, characteristic, complemented
18#21457189C211yesmaximal, characteristic, complemented
19#21457187C211yesmaximal, characteristic, complemented
20#21457130C211yesmaximal, characteristic, complemented
21#21457043C211yesmaximal, characteristic, complemented
22#21457036C211yesmaximal, characteristic, complemented
23#21456945C211yesmaximal, characteristic, complemented
24#21455979C211yesmaximal, characteristic, complemented
25#21455974C211yesmaximal, characteristic, complemented
26#21455853C211yesmaximal, characteristic, complemented
27#21455630C211yesmaximal, characteristic, complemented
28#21455629C211yesmaximal, characteristic, complemented
29C2×#16840055C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3316C211yesmaximal, characteristic, complemented
32#16840494—21no—
33#16840494C2211yescharacteristic
34Q8×Dic122C2211yescharacteristic
35#16840492C2211yescharacteristic
36#16840489—21no—
37#16840488C2211yescharacteristic
38#16840483—21no—
39#16840483C2211yescharacteristic
40#16840470C2211yescharacteristic
41#16840470C2211yescharacteristic
42#16840469C2211yescharacteristic
43#16840467C2211yescharacteristic
44#16840467C2211yescharacteristic
45#16840464—21no—
46#16840464C2211yescharacteristic
47#16840458—21no—
48#16840458C2211yescharacteristic
49#16840431C2211yescharacteristic
50D4×Dic122—21no—
51#16840425—21no—
52#16840425—21no—
53#16840423C2211yescharacteristic
54#16840392—21no—
55#16840391—21no—
56#16840391—21no—
57#16840316C2211yescharacteristic
58#16840314C2211yescharacteristic
59#16840314C2211yescharacteristic
60#16840307—21no—
61#16840307C2211yescharacteristic
62C2×#14519776C2211yescharacteristic
63C2×#14519776C2211yescharacteristic
64C4⋊Q8×D61C2211yescharacteristic
65#16840298—21no—
66#16840298C2211yescharacteristic
67#16840291—21no—
68#16840291C2211yescharacteristic
69#16840241—21no—
70#41×Dic61C2211yescharacteristic
71C4×#11758226C2211yescharacteristic
72C4×#11758224—21no—
73C4×#11758224C2211yescharacteristic
74C2×Q8×Dic61C2211yescharacteristic
75#16840171C2211yescharacteristic
76#16840169C2211yescharacteristic
77#16840169C2211yescharacteristic
78#16840168C2211yescharacteristic
79#16840159C2211yescharacteristic
80#16840159C2211yescharacteristic
81#16840123C2211yescharacteristic
82#16840123C2211yescharacteristic
83#16840121C2211yescharacteristic
84#16840107C2211yescharacteristic
85#16840107C2211yescharacteristic
86#16840106C2211yescharacteristic
87#16840104C2211yescharacteristic
88#16840102C2211yescharacteristic
89#16840100C2211yescharacteristic
90#16840098C2211yescharacteristic
91#16840095C2211yescharacteristic
92#16840091C2211yescharacteristic
93#16840091C2211yescharacteristic
94#16840090C2211yescharacteristic
95#16840081C2211yescharacteristic
96#16840080C2211yescharacteristic
97#16840078C2211yescharacteristic
98#16840076C2211yescharacteristic
99#16840075C2211yescharacteristic
100#16840074C2211yescharacteristic
101#16840074C2211yescharacteristic
102#16840072C2211yescharacteristic
103#16840071C2211yescharacteristic
104#16840070C2211yescharacteristic
105#16840069C2211yescharacteristic
106#16840055C2211yescharacteristic
107#16840055C2211yescharacteristic
108#16840055C2211yescharacteristic
109#16840055C2211yescharacteristic
110#16840055C2211yescharacteristic
111#16840055C2211yescharacteristic
112#16840055C2211yescharacteristic
113#16840055C2211yescharacteristic
114#16840055C2211yescharacteristic
115#16840055C2211yescharacteristic
116#16840051C2211yescharacteristic
117#16840051C2211yescharacteristic
118#16840051C2211yescharacteristic
119#16840050C2211yescharacteristic
120#16840050C2211yescharacteristic
121#16840050C2211yescharacteristic
122#16840047C2211yescharacteristic
123#16840046C2211yescharacteristic
124#16840045C2211yescharacteristic
125#16840045C2211yescharacteristic
126#16840045C2211yescharacteristic
127#16840043C2211yescharacteristic
128#16840040C2211yescharacteristic
129#16840040C2211yescharacteristic
130#16840039C2211yescharacteristic
131#16840019C2211yescharacteristic
132#16840018C2211yescharacteristic
133#16840017C2211yescharacteristic
134#16840010C2211yescharacteristic
135#16840008C2211yescharacteristic
136#16840007C2211yescharacteristic
137#16840005C2211yescharacteristic
138#16839993C2211yescharacteristic
139#16839991C2211yescharacteristic
140#16839989C2211yescharacteristic
141#16839987C2211yescharacteristic
142#16839986C2211yescharacteristic
143#16839981C2211yescharacteristic
144#16839970C2211yescharacteristic
145#16839970C2211yescharacteristic
146#16839966C2211yescharacteristic
147#16839965C2211yescharacteristic
148#16839961C2211yescharacteristic
149#16839960C2211yescharacteristic
150#16839927C2211yescharacteristic
151#16839924C2211yescharacteristic
152#16839923C2211yescharacteristic
153#16839918C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839869C2211yescharacteristic
157#16839867C2211yescharacteristic
158#16839866C2211yescharacteristic
159#16839864C2211yescharacteristic
160#16839863C2211yescharacteristic
161#16839860C2211yescharacteristic
162#16839859C2211yescharacteristic
163Q16×Dic61C2211yescharacteristic
164Q16×Dic61C2211yescharacteristic
165#16839854C2211yescharacteristic
166#16839854C2211yescharacteristic
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic
174#16839812C2211yescharacteristic
175#16839804C2211yescharacteristic
176#16839802C2211yescharacteristic
177#16839801C2211yescharacteristic
178#16839801C2211yescharacteristic
179C2×#14519711C2211yescharacteristic
180C2×#14519710C2211yescharacteristic
181#16839785C2211yescharacteristic
182#16839784C2211yescharacteristic
183C2×#14519706C2211yescharacteristic
184#16839763C2211yescharacteristic
185#16839762C2211yescharacteristic
186#16839762C2211yescharacteristic
187C2×#14519701C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#548C2211yescharacteristic
190C61×#489C2211yescharacteristic
191C61×#483C2211yescharacteristic
192C61×#481C2211yescharacteristic
193C61×#475C2211yescharacteristic
194C61×#470C2211yescharacteristic
195C61×#465C2211yescharacteristic
196C61×#464C2211yescharacteristic
197C61×#452C2211yescharacteristic
198C61×#451C2211yescharacteristic
199C61×#441C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#417C2211yescharacteristic
202C2×#103×C61C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758224—21no—
205C2×#11758224D411yescharacteristic
206C22×Dic122—21no—
207C22×Dic122—21no—
208C2×Q8×D61—21no—
209C2×#11758202C2311yescharacteristic
210C2×#11758202C2311yescharacteristic
211C2×#11758190C2311yescharacteristic
212C2×#11758200C2311yescharacteristic
213C2×#11758201C2311yescharacteristic
214C2×#11758194C2311yescharacteristic
215C2×#11758189C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C22×#92418C2311yescharacteristic
218#14519777—21no—
219#14519777C2311yescharacteristic
220#14519776—21no—
221#14519776—21no—
222#14519776—21no—
223#14519776—21no—
224#14519776—21no—
225#14519776—21no—
226#14519776—21no—
227#14519776—21no—
228#14519776—21no—
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519776C2311yescharacteristic
233#14519776C2311yescharacteristic
234#14519776C2311yescharacteristic
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519775—21no—
238#14519775—21no—
239#14519775—21no—
240#14519775C2311yescharacteristic
241#14519773—21no—
242#14519773C2311yescharacteristic
243#14519772—21no—
244#14519772—21no—
245#14519772—21no—
246#14519770—21no—
247#14519770—21no—
248#14519770—21no—
249#14519769—21no—
250#14519769C2311yescharacteristic
251#14519768—21no—
252#14519768—21no—
253#14519768C2311yescharacteristic
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519766—21no—
262#14519766C2311yescharacteristic
263#14519763—21no—
264#14519763—21no—
265#14519763—21no—
266#14519761—21no—
267#14519761—21no—
268#14519761—21no—
269#14519759—21no—
270#14519759—21no—
271#14519759—21no—
272#14519757—21no—
273#14519757—21no—
274#14519757C2311yescharacteristic
275#14519756—21no—
276#14519756—21no—
277#14519756C2311yescharacteristic
278#14519756C2311yescharacteristic
279#14519755—21no—
280#14519755—21no—
281#14519755—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519754—21no—
288#14519753—21no—
289#14519753C2311yescharacteristic
290#14519753C2311yescharacteristic
291#14519751—21no—
292#14519751—21no—
293#14519751C2311yescharacteristic
294#14519751C2311yescharacteristic
295#14519749—21no—
296#14519749—21no—
297#14519749—21no—
298#14519748—21no—
299#14519748C2311yescharacteristic
300Q8×Dic61—21no—
301Q8×Dic61—21no—
302Q8×Dic61C2311yescharacteristic
303Q8×Dic61C2311yescharacteristic
304Q8×Dic61C2311yescharacteristic
305Q8×Dic61C2311yescharacteristic
306Q8×Dic61C2311yescharacteristic
307Q8×Dic61C2311yescharacteristic
308Q8×Dic61C2311yescharacteristic
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122—21no—
312C4×Dic122C2311yescharacteristic
313C4×Dic122C2311yescharacteristic
314#14519742—21no—
315#14519742—21no—
316#14519742—21no—
317#14519742—21no—
318#14519742D411yescharacteristic
319#14519742C2311yescharacteristic
320#14519742C2311yescharacteristic
321C4×D244—21no—
322C4×D244C2311yescharacteristic
323D4×Dic61—21no—
324D4×Dic61—21no—
325D4×Dic61—21no—
326D4×Dic61—21no—
327D4×Dic61D411yescharacteristic
328D4×Dic61C2311yescharacteristic
329D4×Dic61C2311yescharacteristic
330#14519739—21no—
331#14519739C2311yescharacteristic
332C4×C22⋊D61—21no—
333C4×C22⋊D61—21no—
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61C2311yescharacteristic
337C4×C22⋊D61C2311yescharacteristic
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737D411yescharacteristic
346#14519737D411yescharacteristic
347#14519736—21no—
348#14519736C2311yescharacteristic
349#14519735—21no—
350#14519735—21no—
351#14519735D411yescharacteristic
352#14519735C2311yescharacteristic
353#14519734—21no—
354#14519733—21no—
355#14519733—21no—
356#14519733—21no—
357#14519733D411yescharacteristic
358#14519733D411yescharacteristic
359C2×C4⋊Dic61—21no—
360C2×C4⋊Dic61C2311yescharacteristic
361C2×C4⋊Dic61C2311yescharacteristic
362C2×C4⋊Dic61C2311yescharacteristic
363C2×#11758196—21no—
364C2×#11758196—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C2×C4×Dic61—21no—
369C2×C4×Dic61—21no—
370C2×C4×Dic61C2311yescharacteristic
371C2×C4×Dic61C2311yescharacteristic
372C42×D61—21no—
373C42×D61C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
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#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
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×C61C2311yescharacteristic
436C22×Q8×C61C2311yescharacteristic
437C2×Q16×C61C2311yescharacteristic
438C2×Q16×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441C22×C8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443#125×C61—21no—
444#124×C61—21no—
445#124×C61C2311yescharacteristic
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61C2311yescharacteristic
450C22⋊Q8×C61C2311yescharacteristic
451C22⋊Q8×C61C2311yescharacteristic
452#121×C61—21no—
453#121×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×D4×C61—21no—
457C4×D4×C61—21no—
458C4×D4×C61C2311yescharacteristic
459C2×C4⋊C4×C61C2311yescharacteristic
460C2×C4⋊C4×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478#41×C61—22no—
479#41×C61—41no—
480C2×Q8×C61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61—22no—
483C2×Q8×C61—41no—
484C2×Q8×C61C2411yescharacteristic
485C2×Q8×C61C2411yescharacteristic
486C2×Q8×C61C2411yescharacteristic
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61C2×D411yescharacteristic
490C2×D4×C61C2411yescharacteristic
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61C2411yescharacteristic
496C22×C4×C61C2411yescharacteristic
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61C2×D411yescharacteristic
503C2×C22⋊D61C2×D411yescharacteristic
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61C2×D411yescharacteristic
510C22×Dic61C2×D411yescharacteristic
511C22×Dic61C2×D411yescharacteristic
512C22×Dic61C2×D411yescharacteristic
513#11758226—22no—
514#11758226—41no—
515Q8×D61—82no—
516#11758224—24no—
517#11758224—44no—
518C2×D244—21no—
519C2×D244C2411yescharacteristic
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61C2×D411yescharacteristic
526C2×C4×D61C2×D411yescharacteristic
527C2×C4×D61C2411yescharacteristic
528C2×Dic122—21no—
529C2×Dic122—21no—
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—82no—
538C2×Dic122—82no—
539C2×Dic122C2×D411yescharacteristic
540C2×Dic122C2411yescharacteristic
541Q16×C61—22no—
542Q16×C61—41no—
543SD16×C61—41no—
544M16×C61—41no—
545C2×C8×C61—41no—
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61C2×D411yescharacteristic
570C22⋊C4×C61C2×D411yescharacteristic
571C42×C61—21no—
572C42×C61—21no—
573C42×C61C2411yescharacteristic
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61C2×D411yescharacteristic
581C22⋊Dic61C2×D411yescharacteristic
582#11758202—22no—
583#11758202—41no—
584#11758201—41no—
585#11758200—41no—
586#11758198—21no—
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#11758198C2×D411yescharacteristic
597#11758198C2×D411yescharacteristic
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61C2×D411yescharacteristic
612C4⋊Dic61C2411yescharacteristic
613C4⋊Dic61C2411yescharacteristic
614C4⋊Dic61C2411yescharacteristic
615C4⋊Dic61C2411yescharacteristic
616C4⋊Dic61C2411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644C4×Dic61—21no—
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C4×Dic61C2411yescharacteristic
665#11758194—41no—
666C2×#92418—41no—
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671#11758190—41no—
672#11758189—41no—
673#11758189—41no—
674C23×C61—21no—
675C23×C61C22×D411yescharacteristic
676C23×C61C22×D411yescharacteristic
677C22×D61—21no—
678C22×D61C22×D411yescharacteristic
679Q8×C61—21no—
680Q8×C61—21no—
681Q8×C61—21no—
682Q8×C61—21no—
683Q8×C61—21no—
684Q8×C61—42no—
685Q8×C61—81no—
686Q8×C612−1+412yes—
687D4×C61—22no—
688D4×C61—21no—
689D4×C61—21no—
690D4×C61—42no—
691D4×C61—42no—
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—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—42no—
704C2×C4×C61—42no—
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×C61C2511yescharacteristic
712C22⋊D61—22no—
713C22⋊D61—22no—
714C22⋊D61—42no—
715C22⋊D61—42no—
716C22⋊D61—81no—
717C22⋊D61—81no—
718C22⋊D61—81no—
719C2×Dic61—22no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—41no—
728C2×Dic61—41no—
729C2×Dic61—42no—
730C2×Dic61—81no—
731C2×Dic61—81no—
732C2×Dic61—81no—
733C2×Dic61—81no—
734C2×Dic61#13714yes—
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740C2×Dic61C22×D411yescharacteristic
741C2×Dic61C22×D411yescharacteristic
742D244—21no—
743D244—21no—
744D244—42no—
745C4×D61—21no—
746C4×D61—21no—
747C4×D61—22no—
748C4×D61—41no—
749C4×D61—42no—
750C4×D61—42no—
751C4×D61—81no—
752C4×D61—81no—
753C4×D61—81no—
754Dic122—22no—
755Dic122—21no—
756Dic122—21no—
757Dic122—42no—
758Dic122—42no—
759Dic122—42no—
760Dic122—42no—
761Dic122—81no—
762Dic122—81no—
763Dic122—81no—
764Dic122—81no—
765Dic122—81no—
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#62112—611nomaximal, Sylow
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—21no—
778C22×C61—21no—
779C22×C61—21no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61C2×#13712yes—
784C22×C61C23×D411yescharacteristic
785C2×D61—21no—
786C2×D61—21no—
787C2×D61—21no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C4×C61—21no—
792C4×C61—22no—
793C4×C61—21no—
794C4×C61—21no—
795C4×C61—21no—
796C4×C61—41no—
797C4×C61—41no—
798C4×C61—41no—
799C4×C61—41no—
800C4×C61—41no—
801C4×C61—41no—
802C4×C61C2×2−1+411yescharacteristic
803C4×C61#58511yescharacteristic
804Dic61—21no—
805Dic61—21no—
806Dic61—21no—
807Dic61—21no—
808Dic61—21no—
809Dic61—41no—
810Dic61—41no—
811Dic61—41no—
812Dic61—41no—
813Dic61—41no—
814Dic61—41no—
815Dic61—41no—
816Dic61C2×#13712yes—
817Dic61C2×#13712yes—
818#3503—611no—
819#3480—611no—
820#3387—611no—
821#3387—611no—
822#3375—611no—
823#3375—611no—
824#3356—611no—
825#3356—611no—
826#3346—611no—
827#3346—611no—
828#3346—611no—
829#3346—611no—
830#3333—611no—
831#3333—611no—
832#3316—611no—
833#3316—611no—
834#3316—611no—
835#3316D6111yescharacteristic, complemented
836#3252—611no—
837#3252—611no—
838#3246—611no—
839#3238—611no—
840#3238—611no—
841#3227—611no—
842#3116—611no—
843#3116—611no—
844#3104—611no—
845#3079—611no—
846#3079—611no—
847C2×#477—611no—
848#2989—611no—
849C2×C61—22no—
850C2×C61—41no—
851C2×C61—81no—
852C2×C61#348911yescharacteristic
853C2×C61C22×#13711yescharacteristic
854C2×C61#358511yescharacteristic
855D61—41no—
856D61—81no—
857#559—611no—
858#559—1221no—
859Q82—611no—
860Q82—611no—
861#557—611no—
862#557—1221no—
863#556—611no—
864#556—1221no—
865#554—611no—
866#554—611no—
867#554—611no—
868#554—611no—
869#554—611no—
870#554C2×D6111yescharacteristic
871#553—611no—
872#553—611no—
873#553—1221no—
874#553—1221no—
875#550—611no—
876D4×Q8—1221no—
877D4×Q8—1221no—
878D4×Q8—1221no—
879#548—611no—
880#548C2×D6111yescharacteristic
881#544—1221no—
882#544—1221no—
883#544—1221no—
884#533—611no—
885#533—611no—
886#533—611no—
887#532—611no—
888#532—1221no—
889C2×C4⋊Q8—611no—
890C2×C4⋊Q8—611no—
891C2×C4⋊Q8—611no—
892#529—611no—
893#529—611no—
894#529—1221no—
895#529—1221no—
896#520—1221no—
897C4×#41—611no—
898C4×#41—611no—
899C4×#41—611no—
900C4×#41—1221no—
901C2×C4×Q8—611no—
902#501—611no—
903#501—611no—
904#501—611no—
905#501—611no—
906#498—611no—
907#498—611no—
908#489—611no—
909#489—611no—
910#489—611no—
911#489C2×D6111yescharacteristic
912#486—611no—
913#486—611no—
914#485—611no—
915#485—611no—
916#485—611no—
917#485—611no—
918#484—611no—
919#484—611no—
920#483—611no—
921#483—611no—
922#483—611no—
923#483C2×D6111yescharacteristic
924#481—611no—
925#481—611no—
926#481—611no—
927#481C2×D6111yescharacteristic
928#480—611no—
929#480—611no—
930#480—611no—
931#480—611no—
932#479—611no—
933#479—611no—
934#479—611no—
935#479—611no—
936#477—611no—
937#477—611no—
938#477—611no—
939#477—611no—
940#477—611no—
941#477—611no—
942#477—611no—
943#477—611no—
944#477—611no—
945#477—611no—
946#476—611no—
947#476—611no—
948#476—611no—
949#476—611no—
950#476—611no—
951#476—611no—
952#475—611no—
953#475—611no—
954#475—611no—
955#475—611no—
956#475—611no—
957#475C2×D6111yescharacteristic
958#474—611no—
959#474—611no—
960#474—611no—
961#474—611no—
962#470—611no—
963#470—611no—
964#470—611no—
965#470C2×D6111yescharacteristic
966#468—611no—
967#468—611no—
968#468—611no—
969#468—611no—
970#465—611no—
971#465—611no—
972#465—611no—
973#465C2×D6111yescharacteristic
974#464—611no—
975#464—611no—
976#464—611no—
977#464C2×D6111yescharacteristic
978#462—611no—
979#462—611no—
980#461—611no—
981#461—611no—
982#460—611no—
983#460—611no—
984#452—611no—
985#452—611no—
986#452—611no—
987#452C2×D6111yescharacteristic
988#451—611no—
989#451C2×D6111yescharacteristic
990#446—611no—
991#446—611no—
992#441—611no—
993#441—611no—
994#441—611no—
995#441C2×D6111yescharacteristic
996#440—611no—
997#440—611no—
998#440—611no—
999#440—611no—
1000C4×Q16—611no—
1001C4×Q16—611no—
1002C4×Q16—611no—
1003C4×Q16—611no—
1004#436—611no—
1005#436—611no—
1006#435—611no—
1007#435—611no—
1008#435—611no—
1009#435C2×D6111yescharacteristic
1010#432—611no—
1011#432—611no—
1012#431—611no—
1013#428—611no—
1014#428—611no—
1015#428—611no—
1016#428—611no—
1017C2×#107—611no—
1018C2×#107—611no—
1019#423—611no—
1020#423—611no—
1021C2×C4⋊C8—611no—
1022#417—611no—
1023#417—611no—
1024#417—611no—
1025#417C2×D6111yescharacteristic
1026C2×#103—611no—
1027C2×#103C2×D6111yescharacteristic
1028C61#6211211yescharacteristic, complemented, Sylow
1029C2×#41—611no—
1030C2×#41—611no—
1031C2×#41—1221no—
1032C2×#41C22×D6111yescharacteristic
1033C22×Q8—1221no—
1034C22×Q8—1221no—
1035C22×Q8—1221no—
1036C22×Q8C22×D6111yescharacteristic
1037C2×Q16—611no—
1038C2×Q16—611no—
1039C2×Q16C22×D6111yescharacteristic
1040C2×Q16C22×D6111yescharacteristic
1041C2×SD16—611no—
1042C2×SD16—611no—
1043C2×SD16—611no—
1044C2×SD16C22×D6111yescharacteristic
1045C2×M16—611no—
1046C2×M16—611no—
1047C2×M16—611no—
1048C2×M16C22×D6111yescharacteristic
1049C22×C8—611no—
1050C22×C8C22×D6111yescharacteristic
1051C4⋊Q8—611no—
1052C4⋊Q8—611no—
1053C4⋊Q8—611no—
1054C4⋊Q8—611no—
1055C4⋊Q8—611no—
1056C4⋊Q8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—1221no—
1062C4⋊Q8—1221no—
1063C4⋊Q8—1221no—
1064C4⋊Q8—1221no—
1065C4⋊Q8—1221no—
1066C4⋊Q8—1221no—
1067C4⋊Q8—1221no—
1068C4⋊Q8—1221no—
1069C4⋊Q8—1221no—
1070C4⋊Q8—1221no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8—1221no—
1074C4⋊Q8C22×D6111yescharacteristic
1075#127—611no—
1076#127—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—21no—
1084#125—611no—
1085#125—611no—
1086#125—1221no—
1087#125—1221no—
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#124—21no—
1097#124—611no—
1098#124—1221no—
1099#124—1221no—
1100#124—1221no—
1101#124—1221no—
1102#124C22×D6111yescharacteristic
1103#123—1221no—
1104#123—1221no—
1105#123—1221no—
1106#123—1221no—
1107#123—1221no—
1108#123—1221no—
1109C22⋊Q8—21no—
1110C22⋊Q8—21no—
1111C22⋊Q8—21no—
1112C22⋊Q8—611no—
1113C22⋊Q8—611no—
1114C22⋊Q8—611no—
1115C22⋊Q8—611no—
1116C22⋊Q8—611no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8C22×D6111yescharacteristic
1132C22⋊Q8C22×D6111yescharacteristic
1133C22⋊Q8C22×D6111yescharacteristic
1134#121—21no—
1135#121—611no—
1136#121—611no—
1137#121—611no—
1138#121—1221no—
1139#121—1221no—
1140#121—1221no—
1141#121—1221no—
1142#121—1221no—
1143#121—1221no—
1144#121C22×D6111yescharacteristic
1145C4×Q8—611no—
1146C4×Q8—611no—
1147C4×Q8—611no—
1148C4×Q8—611no—
1149C4×Q8—611no—
1150C4×Q8—611no—
1151C4×Q8—611no—
1152C4×Q8—611no—
1153C4×Q8—611no—
1154C4×Q8—611no—
1155C4×Q8—611no—
1156C4×Q8—611no—
1157C4×Q8—1221no—
1158C4×Q8—1221no—
1159C4×Q8—1221no—
1160C4×Q8—1221no—
1161C4×Q8—1221no—
1162C4×Q8—1221no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8—1221no—
1166C4×Q8C22×D6111yescharacteristic
1167C4×Q8C22×D6111yescharacteristic
1168C4×D4—21no—
1169C4×D4—21no—
1170C4×D4—611no—
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—1221no—
1180C4×D4—1221no—
1181C4×D4—1221no—
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×D4C22×D6111yescharacteristic
1197#117—611no—
1198#117—611no—
1199#117—611no—
1200#117—611no—
1201#117—611no—
1202#117—1221no—
1203#117—1221no—
1204#117—1221no—
1205#117—1221no—
1206#117—1221no—
1207#117—1221no—
1208#117—1221no—
1209C2×C4⋊C4—611no—
1210C2×C4⋊C4—611no—
1211C2×C4⋊C4—611no—
1212C2×C4⋊C4—611no—
1213C2×C4⋊C4—611no—
1214C2×C4⋊C4—1221no—
1215C2×C4⋊C4—1221no—
1216C2×C4⋊C4—1221no—
1217C2×C4⋊C4—1221no—
1218C2×C4⋊C4C22×D6111yescharacteristic
1219C2×C4⋊C4C22×D6111yescharacteristic
1220C2×C42—611no—
1221C2×C42—611no—
1222C2×C42—611no—
1223C2×C42—1221no—
1224C2×C42—1221no—
1225C2×C42—1221no—
1226#107—611no—
1227#107—611no—
1228#107—611no—
1229#107—611no—
1230#107—611no—
1231#107—611no—
1232#107—611no—
1233#107—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#106—611no—
1239#106—611no—
1240#106—611no—
1241#106—611no—
1242#106—611no—
1243#106—611no—
1244#106—611no—
1245#106—611no—
1246#106—611no—
1247#106C22×D6111yescharacteristic
1248#106C22×D6111yescharacteristic
1249#106C22×D6111yescharacteristic
1250C4⋊C8—611no—
1251C4⋊C8—611no—
1252C4⋊C8—611no—
1253C4⋊C8—611no—
1254C4⋊C8—611no—
1255C4⋊C8—611no—
1256C4⋊C8—611no—
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8C22×D6111yescharacteristic
1260#103—611no—
1261#103—611no—
1262#103—611no—
1263#103—611no—
1264#103—611no—
1265#103—611no—
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103C22×D6111yescharacteristic
1274#103C22×D6111yescharacteristic
1275#103C22×D6111yescharacteristic
1276#103C22×D6111yescharacteristic
1277#103C22×D6111yescharacteristic
1278#103C22×D6111yescharacteristic
1279#103C22×D6111yescharacteristic
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#102C22×D6111yescharacteristic
1290#102C22×D6111yescharacteristic
1291#102C22×D6111yescharacteristic
1292C22⋊C8—611no—
1293C22⋊C8—611no—
1294C22⋊C8—611no—
1295C22⋊C8—611no—
1296C22⋊C8C22×D6111yescharacteristic
1297C22⋊C8C22×D6111yescharacteristic
1298#97—611no—
1299#97—611no—
1300#97—611no—
1301#97C22×D6111yescharacteristic
1302C4×C8—611no—
1303C4×C8—611no—
1304#41—22no—
1305#41—41no—
1306#41—1224no—
1307#41—1222no—
1308#41—2444no—
1309#41—2441no—
1310C2×Q8—21no—
1311C2×Q8—21no—
1312C2×Q8—22no—
1313C2×Q8—41no—
1314C2×Q8—611no—
1315C2×Q8—611no—
1316C2×Q8—1221no—
1317C2×Q8—1221no—
1318C2×Q8—1221no—
1319C2×Q8—1221no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—4882no—
1326C2×Q8—4882no—
1327C2×Q8—4882no—
1328C2×Q8C23×D6111yescharacteristic
1329C2×Q8C23×D6111yescharacteristic
1330C2×Q8C23×D6111yescharacteristic
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—611no—
1334C2×D4—611no—
1335C2×D4—611no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4D4×D6111yescharacteristic
1343C2×D4C23×D6111yescharacteristic
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—611no—
1349C22×C4—611no—
1350C22×C4—611no—
1351C22×C4—611no—
1352C22×C4—611no—
1353C22×C4—611no—
1354C22×C4—611no—
1355C22×C4—1221no—
1356C22×C4—1221no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4C23×D6111yescharacteristic
1366C22×C4C23×D6111yescharacteristic
1367Q16—22no—
1368Q16—41no—
1369Q16—1222no—
1370Q16—2441no—
1371SD16—41no—
1372SD16—2441no—
1373SD16—2441no—
1374SD16—2441no—
1375M16—41no—
1376M16—2441no—
1377M16—2441no—
1378M16—2441no—
1379C2×C8—41no—
1380C2×C8—611no—
1381C2×C8—611no—
1382C2×C8—611no—
1383C2×C8—611no—
1384C2×C8—2441no—
1385C2×C8C23×D6111yescharacteristic
1386C2×C8C23×D6111yescharacteristic
1387C2×C8C23×D6111yescharacteristic
1388C2×C8C23×D6111yescharacteristic
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—611no—
1398C4⋊C4—611no—
1399C4⋊C4—611no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
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⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4D4×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—611no—
1455C22⋊C4—611no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1475C22⋊C4D4×D6111yescharacteristic
1476C42—21no—
1477C42—21no—
1478C42—611no—
1479C42—611no—
1480C42—611no—
1481C42—611no—
1482C42—611no—
1483C42—611no—
1484C42—611no—
1485C42—611no—
1486C42—611no—
1487C42—1221no—
1488C42—1221no—
1489C42—1221no—
1490C42—1221no—
1491C42—1221no—
1492C42—1221no—
1493C42—1221no—
1494C42—1221no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42C23×D6111yescharacteristic
1500C23—21no—
1501C23—611no—
1502C23—1221no—
1503C23C2×D4×D6111yescharacteristic
1504C23C2×D4×D6111yescharacteristic
1505Q8—21no—
1506Q8—21no—
1507Q8—21no—
1508Q8—21no—
1509Q8—21no—
1510Q8—42no—
1511Q8—81no—
1512Q8—1222no—
1513Q8—1221no—
1514Q8—1221no—
1515Q8—4881no—
1516Q8—4881no—
1517Q8—4881no—
1518Q8—4881no—
1519Q8—4881no—
1520Q8—2442no—
1521Q8—2442no—
1522Q8—2442no—
1523Q8—2442no—
1524Q8#1451982412yes—
1525D4—22no—
1526D4—21no—
1527D4—21no—
1528D4—42no—
1529D4—42no—
1530D4—1222no—
1531D4—1222no—
1532D4—1221no—
1533D4—1221no—
1534D4—4881no—
1535D4—4881no—
1536D4—4881no—
1537D4—2442no—
1538D4—2442no—
1539D4—2442no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—42no—
1552C2×C4—42no—
1553C2×C4—81no—
1554C2×C4—81no—
1555C2×C4—614no—
1556C2×C4—611no—
1557C2×C4—611no—
1558C2×C4—611no—
1559C2×C4—611no—
1560C2×C4—611no—
1561C2×C4—611no—
1562C2×C4—611no—
1563C2×C4—1222no—
1564C2×C4—1222no—
1565C2×C4—1221no—
1566C2×C4—1221no—
1567C2×C4—1221no—
1568C2×C4—1221no—
1569C2×C4—1221no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—4881no—
1575C2×C4—4881no—
1576C2×C4—4881no—
1577C2×C4—4881no—
1578C2×C4—4881no—
1579C2×C4—4881no—
1580C2×C4—4881no—
1581C2×C4—2441no—
1582C2×C4—2442no—
1583C2×C4—2442no—
1584C2×C4—2442no—
1585C2×C4—2441no—
1586C2×C4—2441no—
1587C2×C4C2×D4×D6111yescharacteristic
1588C2×C4C2×D4×D6111yescharacteristic
1589C2×C4C2×D4×D6111yescharacteristic
1590C2×C4C2×D4×D6111yescharacteristic
1591C2×C4C24×D6111yescharacteristic
1592C8—21no—
1593C8—21no—
1594C8—21no—
1595C8—21no—
1596C8—1221no—
1597C8—1221no—
1598C8—1221no—
1599C8—1221no—
1600C22—21no—
1601C22—21no—
1602C22—21no—
1603C22—21no—
1604C22—21no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—1221no—
1609C22—1221no—
1610C22—1221no—
1611C22—2441no—
1612C22—2441no—
1613C22—2441no—
1614C22#137×D6112yes—
1615C22C22×D4×D6111yescharacteristic
1616C4—21no—
1617C4—21no—
1618C4—22no—
1619C4—21no—
1620C4—21no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—612no—
1628C4—612no—
1629C4—1221no—
1630C4—1221no—
1631C4—1221no—
1632C4—1221no—
1633C4—1221no—
1634C4—2441no—
1635C4—2441no—
1636C4—2441no—
1637C4—2441no—
1638C4—2441no—
1639C4—2441no—
1640C4—2441no—
1641C4C2×#1451982411yescharacteristic
1642C4#1684059711yescharacteristic
1643C2—22no—
1644C2—41no—
1645C2—81no—
1646C2—4881no—
1647C2—2441no—
1648C2#2145949011yescharacteristic
1649C2C2×#137×D6111yescharacteristic
1650C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3316C2
socleC22×C61C23×D4
prime radical#21459409C2
hypercenter#3316D61
hypocenterC61#62112
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3316

Complements

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

NH ≅ G/Ntype
1. #21459633C2semidirect
3. #21458752C2semidirect
4. #21458746C2semidirect
5. #21458630C2semidirect
6. #21458628C2semidirect
7. #21458429C2semidirect
8. #21458427C2semidirect
9. #21458310C2semidirect
10. #21458306C2semidirect
11. #21458302C2semidirect
12. #21458298C2semidirect
13. #21458153C2semidirect
14. #21458150C2semidirect
15. #21457934C2semidirect
16. #21457930C2semidirect
17. #21457926C2semidirect
18. #21457189C2semidirect
19. #21457187C2semidirect
20. #21457130C2semidirect
21. #21457043C2semidirect
22. #21457036C2semidirect
23. #21456945C2semidirect
24. #21455979C2semidirect
25. #21455974C2semidirect
26. #21455853C2semidirect
27. #21455630C2semidirect
28. #21455629C2semidirect
29. C2×#16840055C2semidirect
30. #21454931C2semidirect
31. C61×#3316C2semidirect
835. #3316D61semidirect
1028. C61#62112semidirect

Maximal subgroups

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

subgroupindex
#214596332
#214594092
#214587522
#214587462
#214586302
#214586282
#214584292
#214584272
#214583102
#214583062
#214583022
#214582982
#214581532
#214581502
#214579342
#214579302
#214579262
#214571892
#214571872
#214571302
#214570432
#214570362
#214569452
#214559792
#214559742
#214558532
#214556302
#214556292
C2×#168400552
#214549312
C61×#33162
#6211261