Finite Group Databasebeta

← #30576081

Subgroups — #30576081

Order 15616.

1762 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459794C211yesmaximal, characteristic, complemented
2#21459442C211yesmaximal, characteristic, complemented
3#21458752C211yesmaximal, characteristic, complemented
4#21458732C211yesmaximal, characteristic, complemented
5#21458543C211yesmaximal, characteristic, complemented
6#21458523C211yesmaximal, characteristic, complemented
7#21458440C211yesmaximal, characteristic, complemented
8#21458407C211yesmaximal, characteristic, complemented
9#21458340C211yesmaximal, characteristic, complemented
10#21458328C211yesmaximal, characteristic, complemented
11#21458321C211yesmaximal, characteristic, complemented
12#21458317C211yesmaximal, characteristic, complemented
13#21458150C211yesmaximal, characteristic, complemented
14#21458142C211yesmaximal, characteristic, complemented
15#21457949C211yesmaximal, characteristic, complemented
16#21457825C211yesmaximal, characteristic, complemented
17#21457821C211yesmaximal, characteristic, complemented
18#21457179C211yesmaximal, characteristic, complemented
19#21457176C211yesmaximal, characteristic, complemented
20#21457140C211yesmaximal, characteristic, complemented
21#21457008C211yesmaximal, characteristic, complemented
22#21457004C211yesmaximal, characteristic, complemented
23#21456953C211yesmaximal, characteristic, complemented
24#21455934C211yesmaximal, characteristic, complemented
25#21455929C211yesmaximal, characteristic, complemented
26#21455838C211yesmaximal, characteristic, complemented
27#21455639C211yesmaximal, characteristic, complemented
28#21455638C211yesmaximal, characteristic, complemented
29#21455603C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3317C211yesmaximal, characteristic, complemented
32Q8×Dic122C2211yescharacteristic
33#16840488C2211yescharacteristic
34#16840477—21no—
35#16840477C2211yescharacteristic
36#16840476—21no—
37#16840476—21no—
38#16840476C2211yescharacteristic
39#16840476C2211yescharacteristic
40#16840470C2211yescharacteristic
41#16840468C2211yescharacteristic
42#16840458C2211yescharacteristic
43#16840456C2211yescharacteristic
44#16840450—21no—
45#16840448—21no—
46#16840446C2211yescharacteristic
47#16840445—21no—
48#16840432—21no—
49#16840432C2211yescharacteristic
50#16840431C2211yescharacteristic
51#16840431C2211yescharacteristic
52#16840413C2211yescharacteristic
53#16840410—21no—
54#16840371—21no—
55#16840356—21no—
56#16840353—21no—
57#16840315C2211yescharacteristic
58#16840310—21no—
59#16840310C2211yescharacteristic
60#16840307—21no—
61#16840307—21no—
62#16840307C2211yescharacteristic
63#16840307C2211yescharacteristic
64#16840299C2211yescharacteristic
65#16840298C2211yescharacteristic
66#16840298C2211yescharacteristic
67C2×#14519768C2211yescharacteristic
68#125×D61C2211yescharacteristic
69#16840242—21no—
70#41×Dic61C2211yescharacteristic
71#41×Dic61C2211yescharacteristic
72C4×#11758226C2211yescharacteristic
73C4×#11758224—21no—
74C4×#11758224C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840169C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840166C2211yescharacteristic
80#16840159C2211yescharacteristic
81#16840126C2211yescharacteristic
82#16840125C2211yescharacteristic
83#16840125C2211yescharacteristic
84#16840107C2211yescharacteristic
85#16840107C2211yescharacteristic
86#16840101C2211yescharacteristic
87#16840100C2211yescharacteristic
88#16840100C2211yescharacteristic
89#16840088C2211yescharacteristic
90#16840087C2211yescharacteristic
91#16840087C2211yescharacteristic
92#16840087C2211yescharacteristic
93#16840086C2211yescharacteristic
94#16840083C2211yescharacteristic
95#16840080C2211yescharacteristic
96#16840079C2211yescharacteristic
97#16840079C2211yescharacteristic
98#16840076C2211yescharacteristic
99#16840074C2211yescharacteristic
100#16840074C2211yescharacteristic
101#16840073C2211yescharacteristic
102#16840071C2211yescharacteristic
103#16840071C2211yescharacteristic
104#16840071C2211yescharacteristic
105#16840069C2211yescharacteristic
106#16840067C2211yescharacteristic
107#16840067C2211yescharacteristic
108#16840065C2211yescharacteristic
109#16840064C2211yescharacteristic
110#16840064C2211yescharacteristic
111#16840064C2211yescharacteristic
112#16840064C2211yescharacteristic
113#16840063C2211yescharacteristic
114#16840061C2211yescharacteristic
115#16840061C2211yescharacteristic
116#16840060C2211yescharacteristic
117#16840060C2211yescharacteristic
118#16840060C2211yescharacteristic
119#16840060C2211yescharacteristic
120#16840059C2211yescharacteristic
121#16840055C2211yescharacteristic
122#16840055C2211yescharacteristic
123#16840051C2211yescharacteristic
124#16840050C2211yescharacteristic
125#16840047C2211yescharacteristic
126#16840045C2211yescharacteristic
127#16840045C2211yescharacteristic
128#16840043C2211yescharacteristic
129#16840041C2211yescharacteristic
130#16840040C2211yescharacteristic
131#16840015C2211yescharacteristic
132#16840014C2211yescharacteristic
133#16840014C2211yescharacteristic
134#16840013C2211yescharacteristic
135#16840010C2211yescharacteristic
136#16840005C2211yescharacteristic
137#16840005C2211yescharacteristic
138#16839998C2211yescharacteristic
139#16839996C2211yescharacteristic
140#16839993C2211yescharacteristic
141#16839986C2211yescharacteristic
142#16839980C2211yescharacteristic
143#16839979C2211yescharacteristic
144#16839979C2211yescharacteristic
145#16839960C2211yescharacteristic
146#16839960C2211yescharacteristic
147#16839956C2211yescharacteristic
148#16839956C2211yescharacteristic
149#16839954C2211yescharacteristic
150#16839923C2211yescharacteristic
151#16839910C2211yescharacteristic
152#16839907C2211yescharacteristic
153#16839907C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839875C2211yescharacteristic
157#16839871C2211yescharacteristic
158#16839869C2211yescharacteristic
159#16839865C2211yescharacteristic
160#16839863C2211yescharacteristic
161#16839860C2211yescharacteristic
162#16839860C2211yescharacteristic
163Q16×Dic61C2211yescharacteristic
164SD16×Dic61C2211yescharacteristic
165#16839847C2211yescharacteristic
166#16839842C2211yescharacteristic
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic
174#16839812C2211yescharacteristic
175#16839804C2211yescharacteristic
176#16839803C2211yescharacteristic
177#16839802C2211yescharacteristic
178#16839801C2211yescharacteristic
179#16839800C2211yescharacteristic
180#16839798C2211yescharacteristic
181#16839785C2211yescharacteristic
182#16839784C2211yescharacteristic
183C2×#14519706C2211yescharacteristic
184#16839763C2211yescharacteristic
185#16839762C2211yescharacteristic
186#16839762C2211yescharacteristic
187#16839758C2211yescharacteristic
188C61×#552C2211yescharacteristic
189C61×#550C2211yescharacteristic
190C61×#490C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#481C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#468C2211yescharacteristic
195C61×#465C2211yescharacteristic
196C61×#460C2211yescharacteristic
197C61×#452C2211yescharacteristic
198C61×#452C2211yescharacteristic
199C61×#441C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#417C2211yescharacteristic
202C61×#416C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758224—21no—
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224—21no—
209C2×#11758224D411yescharacteristic
210C2×#11758201C2311yescharacteristic
211C2×#11758201C2311yescharacteristic
212C2×D488C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758194C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C22×#92418C2311yescharacteristic
219#14519777—21no—
220#14519777C2311yescharacteristic
221#14519776—21no—
222#14519776—21no—
223#14519776—21no—
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519773—21no—
229#14519773—21no—
230#14519773C2311yescharacteristic
231#14519773C2311yescharacteristic
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519771—21no—
237#14519770—21no—
238#14519769—21no—
239#14519769C2311yescharacteristic
240#14519768—21no—
241#14519768—21no—
242#14519768—21no—
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519766C2311yescharacteristic
253#14519764—21no—
254#14519764—21no—
255#14519764—21no—
256#14519763—21no—
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519763—21no—
262#14519762—21no—
263#14519762—21no—
264#14519761—21no—
265#14519761—21no—
266#14519760—21no—
267#14519759—21no—
268#14519759—21no—
269#14519759—21no—
270#14519757—21no—
271#14519757—21no—
272#14519755—21no—
273#14519755—21no—
274#14519755—21no—
275#14519754—21no—
276#14519754—21no—
277#14519754—21no—
278#14519753C2311yescharacteristic
279#14519752C2311yescharacteristic
280#14519751—21no—
281#14519751—21no—
282#14519751C2311yescharacteristic
283#14519751C2311yescharacteristic
284#14519751C2311yescharacteristic
285#14519751C2311yescharacteristic
286#14519750—21no—
287#14519749—21no—
288#14519749—21no—
289#14519749—21no—
290#14519749—21no—
291#14519749—21no—
292#14519749—21no—
293#14519749—21no—
294#14519748—21no—
295#14519748—21no—
296#14519748—21no—
297#14519748—21no—
298#14519748—21no—
299#14519748C2311yescharacteristic
300#14519748C2311yescharacteristic
301Q8×Dic61C2311yescharacteristic
302Q8×Dic61C2311yescharacteristic
303Q8×Dic61C2311yescharacteristic
304Q8×Dic61C2311yescharacteristic
305Q8×Dic61C2311yescharacteristic
306C4×Dic122—21no—
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122C2311yescharacteristic
311#14519742D411yescharacteristic
312C4×D244—21no—
313C4×D244—21no—
314C4×D244—21no—
315C4×D244C2311yescharacteristic
316C4×D244C2311yescharacteristic
317D4×Dic61—21no—
318D4×Dic61—21no—
319D4×Dic61—21no—
320D4×Dic61—21no—
321D4×Dic61—21no—
322D4×Dic61D411yescharacteristic
323D4×Dic61C2311yescharacteristic
324D4×Dic61C2311yescharacteristic
325D4×Dic61C2311yescharacteristic
326D4×Dic61C2311yescharacteristic
327#14519739—21no—
328#14519739C2311yescharacteristic
329#14519739C2311yescharacteristic
330#14519739C2311yescharacteristic
331C4×C22⋊D61—21no—
332C4×C22⋊D61—21no—
333C4×C22⋊D61C2311yescharacteristic
334C4×C22⋊D61C2311yescharacteristic
335#14519737—21no—
336#14519737—21no—
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737D411yescharacteristic
342#14519737D411yescharacteristic
343#14519736—21no—
344#14519736—21no—
345#14519736C2311yescharacteristic
346#14519736C2311yescharacteristic
347#14519736C2311yescharacteristic
348#14519735—21no—
349#14519735—21no—
350#14519735—21no—
351#14519735—21no—
352#14519735—21no—
353#14519735D411yescharacteristic
354#14519735C2311yescharacteristic
355#14519734—21no—
356#14519733—21no—
357#14519733—21no—
358#14519733D411yescharacteristic
359#14519733D411yescharacteristic
360C2×C4⋊Dic61—21no—
361C2×C4⋊Dic61C2311yescharacteristic
362C2×#11758196—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—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#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
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#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C2×#41×C61C2311yescharacteristic
437C2×Q16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441C22×C8×C61C2311yescharacteristic
442#127×C61—21no—
443#127×C61C2311yescharacteristic
444#126×C61—21no—
445#125×C61—21no—
446#125×C61C2311yescharacteristic
447#123×C61—21no—
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61—21no—
451#121×C61—21no—
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×D4×C61—21no—
457C4×D4×C61C2311yescharacteristic
458#117×C61—21no—
459#117×C61C2311yescharacteristic
460C2×C4⋊C4×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478#41×C61—22no—
479#41×C61—22no—
480#41×C61—41no—
481#41×C61—41no—
482C2×Q8×C61C2411yescharacteristic
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61C2×D411yescharacteristic
491C2×D4×C61C2411yescharacteristic
492C2×D4×C61C2411yescharacteristic
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61C2411yescharacteristic
497C22×C4×C61C2411yescharacteristic
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61C2×D411yescharacteristic
509C2×C22⋊D61C2×D411yescharacteristic
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61C2×D411yescharacteristic
516C22×Dic61C2×D411yescharacteristic
517C22×Dic61C2×D411yescharacteristic
518C22×Dic61C2×D411yescharacteristic
519#11758226—22no—
520#11758226—41no—
521#11758224—42no—
522#11758224—44no—
523#11758224—82no—
524#11758224—82no—
525#11758224—82no—
526#11758222—44no—
527C2×D244—21no—
528C2×D244—21no—
529C2×D244C2411yescharacteristic
530C2×D244C2411yescharacteristic
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61C2×D411yescharacteristic
540C2×C4×D61C2×D411yescharacteristic
541C2×C4×D61C2411yescharacteristic
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122—21no—
546C2×Dic122—21no—
547C2×Dic122C2×D411yescharacteristic
548Q16×C61—22no—
549SD16×C61—41no—
550SD16×C61—41no—
551M16×C61—41no—
552C2×C8×C61—41no—
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C2×C8×C61C2411yescharacteristic
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61C2×D411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61C2×D411yescharacteristic
575C22⋊C4×C61C2×D411yescharacteristic
576C42×C61—21no—
577C42×C61—21no—
578C42×C61—21no—
579C42×C61C2411yescharacteristic
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61C2×D411yescharacteristic
590C22⋊Dic61C2×D411yescharacteristic
591#11758201—22no—
592#11758201—41no—
593#11758199—41no—
594#11758199—41no—
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#11758198—21no—
608#11758198—21no—
609#11758198C2×D411yescharacteristic
610#11758198C2×D411yescharacteristic
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⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61C2×D411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C4×Dic61C2411yescharacteristic
665C4×Dic61C2411yescharacteristic
666#11758194—41no—
667C2×#92418—41no—
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672D488—41no—
673#11758189—41no—
674#11758189—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61C22×D411yescharacteristic
678C23×C61C22×D411yescharacteristic
679C22×D61—21no—
680C22×D61—21no—
681C22×D61C22×D411yescharacteristic
682Q8×C61—21no—
683Q8×C61—21no—
684Q8×C61—21no—
685Q8×C612−1+412yes—
686D4×C61—21no—
687D4×C61—21no—
688D4×C61—21no—
689D4×C61—21no—
690D4×C61—41no—
691D4×C61—42no—
692D4×C61—42no—
693D4×C61—42no—
694D4×C61—81no—
695D4×C61—81no—
696D4×C61—81no—
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—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—42no—
708C2×C4×C61—42no—
709C2×C4×C61—42no—
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C2511yescharacteristic
715C22⋊D61—22no—
716C22⋊D61—41no—
717C22⋊D61—42no—
718C22⋊D61—42no—
719C22⋊D61—42no—
720C22⋊D61—81no—
721C22⋊D61—81no—
722C22⋊D61—81no—
723C22⋊D61—81no—
724C22⋊D61—81no—
725C22⋊D61—81no—
726C22⋊D61—81no—
727C2×Dic61—22no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—41no—
735C2×Dic61—41no—
736C2×Dic61—41no—
737C2×Dic61—42no—
738C2×Dic61—42no—
739C2×Dic61—42no—
740C2×Dic61—42no—
741C2×Dic61—81no—
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744C2×Dic61C22×D411yescharacteristic
745C2×Dic61C22×D411yescharacteristic
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749D244—21no—
750D244—21no—
751D244—21no—
752D244—21no—
753D244—42no—
754D244—42no—
755C4×D61—21no—
756C4×D61—21no—
757C4×D61—41no—
758C4×D61—41no—
759C4×D61—42no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—42no—
763C4×D61—42no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767Dic122—22no—
768Dic122—42no—
769Dic122—81no—
770Dic122—81no—
771Dic122—81no—
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#62123—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—21no—
786C22×C61—21no—
787C22×C61—21no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61C23×D411yescharacteristic
795C2×D61—21no—
796C2×D61—21no—
797C2×D61—21no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C4×C61—21no—
805C4×C61—22no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—41no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61C2×2−1+411yescharacteristic
815C4×C61#58511yescharacteristic
816Dic61—21no—
817Dic61—21no—
818Dic61—21no—
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—41no—
823Dic61—41no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61#57512yes—
829#3515—611no—
830#3483—611no—
831#3387—611no—
832#3385—611no—
833#3368—611no—
834#3366—611no—
835#3357—611no—
836#3354—611no—
837#3348—611no—
838#3348—611no—
839#3347—611no—
840#3347—611no—
841#3333—611no—
842#3332—611no—
843#3317—611no—
844#3317D6111yescharacteristic, complemented
845#3309—611no—
846#3309—611no—
847#3251—611no—
848#3251—611no—
849#3247—611no—
850#3234—611no—
851#3234—611no—
852#3228—611no—
853#3111—611no—
854#3111—611no—
855#3102—611no—
856#3080—611no—
857#3080—611no—
858#3076—611no—
859#2989—611no—
860C2×C61—41no—
861C2×C61—41no—
862C2×C61—81no—
863C2×C61—81no—
864C2×C61#348911yescharacteristic
865C2×C61C2×#57511yescharacteristic
866C2×C61#358511yescharacteristic
867D61—41no—
868D61—81no—
869D61—81no—
870Q82—611no—
871#557—611no—
872#555—611no—
873#555—611no—
874#555—611no—
875#555—1221no—
876#555—1221no—
877#555—1221no—
878#554—611no—
879#554—611no—
880#553—611no—
881#553—611no—
882#552—611no—
883#552—1221no—
884#552—1221no—
885#552—1221no—
886#552C2×D6111yescharacteristic
887#550—611no—
888#550—611no—
889#550—611no—
890#550—1221no—
891#550C2×D6111yescharacteristic
892#547—611no—
893#547—1221no—
894#541—1221no—
895#539—1221no—
896#539—1221no—
897#533—611no—
898#532—611no—
899#532—611no—
900#532—611no—
901#532—1221no—
902#532—1221no—
903#532—1221no—
904#529—611no—
905#529—611no—
906#529—611no—
907C2×#125—611no—
908C2×#125—611no—
909#520—1221no—
910C4×#41—611no—
911C4×#41—611no—
912C4×#41—611no—
913C4×#41—611no—
914C4×#41—1221no—
915#501—611no—
916#501—611no—
917#501—611no—
918#501—611no—
919#500—611no—
920#498—611no—
921#490—611no—
922#490—611no—
923#490—611no—
924#490C2×D6111yescharacteristic
925#486—611no—
926#486—611no—
927#485—611no—
928#485—611no—
929#485—611no—
930#482—611no—
931#482—611no—
932#482—611no—
933#482—611no—
934#482—611no—
935#482—611no—
936#482C2×D6111yescharacteristic
937#481—611no—
938#481—611no—
939#481—611no—
940#481C2×D6111yescharacteristic
941#480—611no—
942#480—611no—
943#480—611no—
944#480—611no—
945#479—611no—
946#479—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479C2×D6111yescharacteristic
952#478—611no—
953#478—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#477—611no—
966#477—611no—
967#476—611no—
968#476—611no—
969#475—611no—
970#475—611no—
971#475—611no—
972#474—611no—
973#474—611no—
974#474—611no—
975#469—611no—
976#469—611no—
977#469—611no—
978#469—611no—
979#468—611no—
980#468—611no—
981#468—611no—
982#468C2×D6111yescharacteristic
983#466—611no—
984#466—611no—
985#465—611no—
986#465C2×D6111yescharacteristic
987#464—611no—
988#463—611no—
989#463—611no—
990#463—611no—
991#460—611no—
992#460—611no—
993#460C2×D6111yescharacteristic
994#459—611no—
995#459—611no—
996#459—611no—
997#452—611no—
998#452C2×D6111yescharacteristic
999#452C2×D6111yescharacteristic
1000#449—611no—
1001#449—611no—
1002#449—611no—
1003#446—611no—
1004#446—611no—
1005#442—611no—
1006#442—611no—
1007#441—611no—
1008#441C2×D6111yescharacteristic
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012#440—611no—
1013C4×Q16—611no—
1014C4×SD16—611no—
1015C4×SD16—611no—
1016C4×D8—611no—
1017#436—611no—
1018#436—611no—
1019#435—611no—
1020#435—611no—
1021#435—611no—
1022#435C2×D6111yescharacteristic
1023#432—611no—
1024#432—611no—
1025#431—611no—
1026#428—611no—
1027#428—611no—
1028#428—611no—
1029#428—611no—
1030#427—611no—
1031#427—611no—
1032#423—611no—
1033#423—611no—
1034C2×C4⋊C8—611no—
1035#417—611no—
1036#417—611no—
1037#417—611no—
1038#417C2×D6111yescharacteristic
1039#416—611no—
1040#416C2×D6111yescharacteristic
1041C61#6212311yescharacteristic, complemented, Sylow
1042C2×#41—611no—
1043C2×#41—611no—
1044C2×#41—1221no—
1045C2×#41—1221no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C2×#41—1221no—
1049C2×#41C22×D6111yescharacteristic
1050C2×#41C22×D6111yescharacteristic
1051C2×Q16C22×D6111yescharacteristic
1052C2×SD16—611no—
1053C2×SD16—611no—
1054C2×SD16C22×D6111yescharacteristic
1055C2×SD16C22×D6111yescharacteristic
1056C2×D8—611no—
1057C2×D8—611no—
1058C2×D8—611no—
1059C2×M16—611no—
1060C2×M16—611no—
1061C2×M16—611no—
1062C2×M16C22×D6111yescharacteristic
1063C22×C8—611no—
1064C22×C8C22×D6111yescharacteristic
1065C4⋊Q8—611no—
1066C4⋊Q8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—1221no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8—1221no—
1074#127—21no—
1075#127—611no—
1076#127—611no—
1077#127—1221no—
1078#127—1221no—
1079#127C22×D6111yescharacteristic
1080#126—21no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#126—1221no—
1087#125—21no—
1088#125—611no—
1089#125—611no—
1090#125—611no—
1091#125—611no—
1092#125—611no—
1093#125—611no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#125—1221no—
1100#125—1221no—
1101#125—1221no—
1102#125C22×D6111yescharacteristic
1103#124—611no—
1104#124—1221no—
1105#124—1221no—
1106#124—1221no—
1107#124—1221no—
1108#124—1221no—
1109#124—1221no—
1110#124—1221no—
1111#124—1221no—
1112#124—1221no—
1113#123—21no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122C22⋊Q8—611no—
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
1133#121—21no—
1134#121—21no—
1135#121—611no—
1136#121—611no—
1137#121—611no—
1138#121—611no—
1139#121—611no—
1140#121—611no—
1141#121—611no—
1142#121—1221no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121—1221no—
1157#121C22×D6111yescharacteristic
1158#121C22×D6111yescharacteristic
1159C4×Q8—611no—
1160C4×Q8—611no—
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×Q8—1221no—
1170C4×Q8C22×D6111yescharacteristic
1171C4×Q8C22×D6111yescharacteristic
1172C4×D4—21no—
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—611no—
1185C4×D4—611no—
1186C4×D4—611no—
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×D4—1221no—
1203C4×D4—1221no—
1204C4×D4C22×D6111yescharacteristic
1205#117—21no—
1206#117—611no—
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—
1221#117—1221no—
1222#117—1221no—
1223#117C22×D6111yescharacteristic
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C4⋊C4C22×D6111yescharacteristic
1233C2×C42—611no—
1234C2×C42—611no—
1235C2×C42—611no—
1236C2×C42—1221no—
1237C2×C42—1221no—
1238C2×C42—1221no—
1239#107—611no—
1240#107—611no—
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#107C22×D6111yescharacteristic
1251#106—611no—
1252#106—611no—
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
1263C4⋊C8—611no—
1264C4⋊C8—611no—
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8C22×D6111yescharacteristic
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103C22×D6111yescharacteristic
1280#103C22×D6111yescharacteristic
1281#103C22×D6111yescharacteristic
1282#103C22×D6111yescharacteristic
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102C22×D6111yescharacteristic
1300#102C22×D6111yescharacteristic
1301#102C22×D6111yescharacteristic
1302#102C22×D6111yescharacteristic
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305C22⋊C8—611no—
1306C22⋊C8—611no—
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8C22×D6111yescharacteristic
1310C22⋊C8C22×D6111yescharacteristic
1311#97—611no—
1312#97—611no—
1313#97—611no—
1314#97C22×D6111yescharacteristic
1315C4×C8—611no—
1316C4×C8—611no—
1317#41—22no—
1318#41—22no—
1319#41—41no—
1320#41—41no—
1321#41—1222no—
1322#41—4882no—
1323#41—4882no—
1324#41—4882no—
1325#41—2444no—
1326#41—2442no—
1327#41—2441no—
1328#41—2444no—
1329C2×Q8—611no—
1330C2×Q8—1221no—
1331C2×Q8—1221no—
1332C2×Q8—1221no—
1333C2×Q8—1221no—
1334C2×Q8—1221no—
1335C2×Q8C23×D6111yescharacteristic
1336C2×Q8C23×D6111yescharacteristic
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—611no—
1344C2×D4—611no—
1345C2×D4—611no—
1346C2×D4—611no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—1221no—
1352C2×D4—1221no—
1353C2×D4—1221no—
1354C2×D4—1221no—
1355C2×D4—1221no—
1356C2×D4—1221no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4D4×D6111yescharacteristic
1360C2×D4C23×D6111yescharacteristic
1361C2×D4C23×D6111yescharacteristic
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
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—1221no—
1384C22×C4—1221no—
1385C22×C4C23×D6111yescharacteristic
1386C22×C4C23×D6111yescharacteristic
1387Q16—22no—
1388SD16—41no—
1389SD16—41no—
1390SD16—1222no—
1391SD16—2441no—
1392D8—2441no—
1393D8—2441no—
1394D8—2441no—
1395M16—41no—
1396M16—2441no—
1397M16—2441no—
1398M16—2441no—
1399C2×C8—41no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—611no—
1403C2×C8—611no—
1404C2×C8—2441no—
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C2×C8C23×D6111yescharacteristic
1408C2×C8C23×D6111yescharacteristic
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
1424C4⋊C4—611no—
1425C4⋊C4—611no—
1426C4⋊C4—611no—
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⋊C4C23×D6111yescharacteristic
1455C4⋊C4C23×D6111yescharacteristic
1456C4⋊C4C23×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—611no—
1464C22⋊C4—611no—
1465C22⋊C4—611no—
1466C22⋊C4—611no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4D4×D6111yescharacteristic
1491C22⋊C4D4×D6111yescharacteristic
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—611no—
1496C42—611no—
1497C42—611no—
1498C42—611no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42C23×D6111yescharacteristic
1514C23—21no—
1515C23—21no—
1516C23—611no—
1517C23—1221no—
1518C23—1221no—
1519C23C2×D4×D6111yescharacteristic
1520C23C2×D4×D6111yescharacteristic
1521Q8—21no—
1522Q8—21no—
1523Q8—21no—
1524Q8—1222no—
1525Q8—4881no—
1526Q8—4881no—
1527Q8—4881no—
1528Q8—4881no—
1529Q8—2442no—
1530Q8#1451982412yes—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—41no—
1536D4—42no—
1537D4—42no—
1538D4—42no—
1539D4—81no—
1540D4—81no—
1541D4—81no—
1542D4—1222no—
1543D4—1221no—
1544D4—1221no—
1545D4—1221no—
1546D4—1221no—
1547D4—4881no—
1548D4—4881no—
1549D4—4881no—
1550D4—4881no—
1551D4—4881no—
1552D4—4881no—
1553D4—4881no—
1554D4—2442no—
1555D4—2442no—
1556D4—2442no—
1557D4—2441no—
1558D4—2442no—
1559D4—2442no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—42no—
1571C2×C4—42no—
1572C2×C4—42no—
1573C2×C4—611no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—1222no—
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—2441no—
1594C2×C4—2441no—
1595C2×C4—2442no—
1596C2×C4—2442no—
1597C2×C4—2442no—
1598C2×C4—2442no—
1599C2×C4—2442no—
1600C2×C4—2442no—
1601C2×C4—2441no—
1602C2×C4—2441no—
1603C2×C4—2441no—
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×C4C24×D6111yescharacteristic
1612C8—21no—
1613C8—21no—
1614C8—21no—
1615C8—21no—
1616C8—1221no—
1617C8—1221no—
1618C8—1221no—
1619C8—1221no—
1620C22—21no—
1621C22—21no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—1221no—
1633C22—1221no—
1634C22—1221no—
1635C22—2441no—
1636C22—2441no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22C22×D4×D6111yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—22no—
1645C4—21no—
1646C4—21no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—612no—
1653C4—1221no—
1654C4—1221no—
1655C4—1221no—
1656C4—1221no—
1657C4—1221no—
1658C4—1221no—
1659C4—2441no—
1660C4—2441no—
1661C4—2441no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4C2×#1451982411yescharacteristic
1666C4#1684059711yescharacteristic
1667C2—41no—
1668C2—41no—
1669C2—81no—
1670C2—81no—
1671C2—4881no—
1672C2—4881no—
1673C2—2441no—
1674C2#2145949011yescharacteristic
1675C2#575×D6111yescharacteristic
1676C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3317C2
socleC22×C61C23×D4
hypercenter#3317D61
hypocenterC61#62123
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3317

Complements

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

NH ≅ G/Ntype
1. #21459794C2semidirect
2. #21459442C2semidirect
3. #21458752C2semidirect
4. #21458732C2semidirect
5. #21458543C2semidirect
6. #21458523C2semidirect
7. #21458440C2semidirect
8. #21458407C2semidirect
9. #21458340C2semidirect
10. #21458328C2semidirect
11. #21458321C2semidirect
12. #21458317C2semidirect
13. #21458150C2semidirect
14. #21458142C2semidirect
15. #21457949C2semidirect
16. #21457825C2semidirect
17. #21457821C2semidirect
18. #21457179C2semidirect
19. #21457176C2semidirect
20. #21457140C2semidirect
21. #21457008C2semidirect
22. #21457004C2semidirect
23. #21456953C2semidirect
24. #21455934C2semidirect
25. #21455929C2semidirect
26. #21455838C2semidirect
27. #21455639C2semidirect
28. #21455638C2semidirect
29. #21455603C2semidirect
30. #21454931C2semidirect
31. C61×#3317C2semidirect
844. #3317D61semidirect
1041. C61#62123semidirect

Maximal subgroups

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

subgroupindex
#214597942
#214594422
#214587522
#214587322
#214585432
#214585232
#214584402
#214584072
#214583402
#214583282
#214583212
#214583172
#214581502
#214581422
#214579492
#214578252
#214578212
#214571792
#214571762
#214571402
#214570082
#214570042
#214569532
#214559342
#214559292
#214558382
#214556392
#214556382
#214556032
#214549312
C61×#33172
#6212361