Finite Group Databasebeta

← #30576078

Subgroups — #30576078

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#21459785C211yesmaximal, characteristic, complemented
2#21459443C211yesmaximal, characteristic, complemented
3#21458746C211yesmaximal, characteristic, complemented
4#21458724C211yesmaximal, characteristic, complemented
5#21458543C211yesmaximal, characteristic, complemented
6#21458521C211yesmaximal, characteristic, complemented
7#21458440C211yesmaximal, characteristic, complemented
8#21458409C211yesmaximal, characteristic, complemented
9#21458341C211yesmaximal, characteristic, complemented
10#21458329C211yesmaximal, characteristic, complemented
11#21458326C211yesmaximal, characteristic, complemented
12#21458314C211yesmaximal, characteristic, complemented
13#21458152C211yesmaximal, characteristic, complemented
14#21458141C211yesmaximal, characteristic, complemented
15#21457952C211yesmaximal, characteristic, complemented
16#21457940C211yesmaximal, characteristic, complemented
17#21457832C211yesmaximal, characteristic, complemented
18#21457820C211yesmaximal, characteristic, complemented
19#21457178C211yesmaximal, characteristic, complemented
20#21457142C211yesmaximal, characteristic, complemented
21#21457007C211yesmaximal, characteristic, complemented
22#21457005C211yesmaximal, characteristic, complemented
23#21456954C211yesmaximal, characteristic, complemented
24#21455925C211yesmaximal, characteristic, complemented
25#21455922C211yesmaximal, characteristic, complemented
26#21455834C211yesmaximal, characteristic, complemented
27#21455642C211yesmaximal, characteristic, complemented
28#21455636C211yesmaximal, characteristic, complemented
29#21455604C211yesmaximal, characteristic, complemented
30#21454933C211yesmaximal, characteristic, complemented
31C61×#3251C211yesmaximal, characteristic, complemented
32#16840492C2211yescharacteristic
33#16840488C2211yescharacteristic
34#16840478C2211yescharacteristic
35#16840476—21no—
36#16840476C2211yescharacteristic
37#16840476C2211yescharacteristic
38#16840474—21no—
39#16840474—21no—
40#16840471C2211yescharacteristic
41#16840470C2211yescharacteristic
42#16840464C2211yescharacteristic
43#16840462C2211yescharacteristic
44#16840454C2211yescharacteristic
45#16840453C2211yescharacteristic
46#16840451—21no—
47#16840449—21no—
48#16840445—21no—
49#16840432C2211yescharacteristic
50#16840432C2211yescharacteristic
51#16840430—21no—
52#16840430C2211yescharacteristic
53#16840430C2211yescharacteristic
54#16840412C2211yescharacteristic
55#16840410—21no—
56#16840369—21no—
57#16840354—21no—
58#16840353—21no—
59#16840318C2211yescharacteristic
60#16840309—21no—
61#16840309C2211yescharacteristic
62#16840309C2211yescharacteristic
63#16840308—21no—
64#16840308—21no—
65#16840291C2211yescharacteristic
66#16840291C2211yescharacteristic
67C2×#14519769C2211yescharacteristic
68#125×D61C2211yescharacteristic
69#16840241—21no—
70C4×#11758222C2211yescharacteristic
71C4×#11758222C2211yescharacteristic
72C4×#11758224—21no—
73C4×#11758224C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840169C2211yescharacteristic
77#16840168C2211yescharacteristic
78#16840168C2211yescharacteristic
79#16840166C2211yescharacteristic
80#16840159C2211yescharacteristic
81#16840126C2211yescharacteristic
82#16840126C2211yescharacteristic
83#16840125C2211yescharacteristic
84#16840125C2211yescharacteristic
85#16840107C2211yescharacteristic
86#16840107C2211yescharacteristic
87#16840102C2211yescharacteristic
88#16840101C2211yescharacteristic
89#16840100C2211yescharacteristic
90#16840089C2211yescharacteristic
91#16840088C2211yescharacteristic
92#16840085C2211yescharacteristic
93#16840085C2211yescharacteristic
94#16840084C2211yescharacteristic
95#16840084C2211yescharacteristic
96#16840083C2211yescharacteristic
97#16840082C2211yescharacteristic
98#16840079C2211yescharacteristic
99#16840078C2211yescharacteristic
100#16840078C2211yescharacteristic
101#16840077C2211yescharacteristic
102#16840074C2211yescharacteristic
103#16840073C2211yescharacteristic
104#16840073C2211yescharacteristic
105#16840072C2211yescharacteristic
106#16840070C2211yescharacteristic
107#16840070C2211yescharacteristic
108#16840070C2211yescharacteristic
109#16840070C2211yescharacteristic
110#16840068C2211yescharacteristic
111#16840066C2211yescharacteristic
112#16840064C2211yescharacteristic
113#16840063C2211yescharacteristic
114#16840063C2211yescharacteristic
115#16840063C2211yescharacteristic
116#16840063C2211yescharacteristic
117#16840062C2211yescharacteristic
118#16840062C2211yescharacteristic
119#16840062C2211yescharacteristic
120#16840062C2211yescharacteristic
121#16840060C2211yescharacteristic
122#16840059C2211yescharacteristic
123#16840056C2211yescharacteristic
124#16840055C2211yescharacteristic
125#16840050C2211yescharacteristic
126#16840050C2211yescharacteristic
127#16840046C2211yescharacteristic
128#16840045C2211yescharacteristic
129#16840040C2211yescharacteristic
130#16840040C2211yescharacteristic
131#16840014C2211yescharacteristic
132#16840012C2211yescharacteristic
133#16840011C2211yescharacteristic
134#16840005C2211yescharacteristic
135#16839997C2211yescharacteristic
136#16839995C2211yescharacteristic
137#16839994C2211yescharacteristic
138#16839988C2211yescharacteristic
139#16839981C2211yescharacteristic
140#16839974C2211yescharacteristic
141#16839960C2211yescharacteristic
142#16839960C2211yescharacteristic
143#16839955C2211yescharacteristic
144#16839955C2211yescharacteristic
145#16839922C2211yescharacteristic
146#16839921C2211yescharacteristic
147#16839921C2211yescharacteristic
148#16839905C2211yescharacteristic
149#16839904C2211yescharacteristic
150#16839904C2211yescharacteristic
151#16839891C2211yescharacteristic
152#16839891C2211yescharacteristic
153#16839874C2211yescharacteristic
154#16839872C2211yescharacteristic
155#16839867C2211yescharacteristic
156#16839866C2211yescharacteristic
157#16839863C2211yescharacteristic
158#16839862C2211yescharacteristic
159#16839860C2211yescharacteristic
160#16839859C2211yescharacteristic
161#16839854C2211yescharacteristic
162#16839853C2211yescharacteristic
163SD16×Dic61C2211yescharacteristic
164D8×Dic61C2211yescharacteristic
165#16839838C2211yescharacteristic
166#16839838C2211yescharacteristic
167#16839832C2211yescharacteristic
168#16839832C2211yescharacteristic
169#16839831C2211yescharacteristic
170#16839831C2211yescharacteristic
171#16839819C2211yescharacteristic
172#16839818C2211yescharacteristic
173#16839814C2211yescharacteristic
174#16839804C2211yescharacteristic
175#16839804C2211yescharacteristic
176#16839803C2211yescharacteristic
177#16839801C2211yescharacteristic
178#16839799C2211yescharacteristic
179#16839797C2211yescharacteristic
180#16839784C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839764C2211yescharacteristic
183#16839764C2211yescharacteristic
184#16839760C2211yescharacteristic
185#16839760C2211yescharacteristic
186#16839755C2211yescharacteristic
187#16839755C2211yescharacteristic
188C61×#532C2211yescharacteristic
189C61×#529C2211yescharacteristic
190C61×#478C2211yescharacteristic
191C61×#478C2211yescharacteristic
192C61×#475C2211yescharacteristic
193C61×#474C2211yescharacteristic
194C61×#469C2211yescharacteristic
195C61×#469C2211yescharacteristic
196C61×#468C2211yescharacteristic
197C61×#468C2211yescharacteristic
198C61×#463C2211yescharacteristic
199C61×#463C2211yescharacteristic
200C61×#460C2211yescharacteristic
201C61×#459C2211yescharacteristic
202C61×#423C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758222—21no—
205C2×#11758222D411yescharacteristic
206C2×#11758222C2311yescharacteristic
207C2×#11758224—21no—
208C2×#11758224—21no—
209C2×#11758224C2311yescharacteristic
210C2×#11758224C2311yescharacteristic
211C2×#11758202C2311yescharacteristic
212C2×#11758200C2311yescharacteristic
213C2×#11758201C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758189C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×C8×D61C2311yescharacteristic
218C2×C8×D61C2311yescharacteristic
219#14519776—21no—
220#14519776—21no—
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519775—21no—
226#14519775—21no—
227#14519773—21no—
228#14519773—21no—
229#14519773—21no—
230#14519773C2311yescharacteristic
231#14519773C2311yescharacteristic
232#14519772—21no—
233#14519771—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519769—21no—
239#14519769—21no—
240#14519769—21no—
241#14519769C2311yescharacteristic
242#14519769C2311yescharacteristic
243#14519769C2311yescharacteristic
244#14519769C2311yescharacteristic
245#14519768—21no—
246#14519768—21no—
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519766—21no—
254#14519766—21no—
255#14519764—21no—
256#14519764—21no—
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519762—21no—
262#14519761—21no—
263#14519761—21no—
264#14519760—21no—
265#14519759—21no—
266#14519759—21no—
267#14519759—21no—
268#14519758—21no—
269#14519757—21no—
270#14519756—21no—
271#14519755—21no—
272#14519755—21no—
273#14519754—21no—
274#14519754—21no—
275#14519754—21no—
276#14519754—21no—
277#14519753C2311yescharacteristic
278#14519753C2311yescharacteristic
279#14519752—21no—
280#14519752C2311yescharacteristic
281#14519752C2311yescharacteristic
282#14519750—21no—
283#14519750—21no—
284#14519750—21no—
285#14519750—21no—
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#14519749—21no—
295#14519749—21no—
296#14519748—21no—
297#14519748C2311yescharacteristic
298#14519748C2311yescharacteristic
299#14519748C2311yescharacteristic
300#14519748C2311yescharacteristic
301Q8×Dic61C2311yescharacteristic
302Q8×Dic61C2311yescharacteristic
303C4×Dic122—21no—
304C4×Dic122D411yescharacteristic
305C4×Dic122C2311yescharacteristic
306C4×Dic122C2311yescharacteristic
307C4×Dic122C2311yescharacteristic
308#14519742—21no—
309#14519742—21no—
310#14519742—21no—
311#14519742C2311yescharacteristic
312#14519742C2311yescharacteristic
313C4×D244D411yescharacteristic
314C4×D244C2311yescharacteristic
315C4×D244C2311yescharacteristic
316C4×D244C2311yescharacteristic
317D4×Dic61—21no—
318D4×Dic61—21no—
319D4×Dic61C2311yescharacteristic
320D4×Dic61C2311yescharacteristic
321D4×Dic61C2311yescharacteristic
322D4×Dic61C2311yescharacteristic
323C4×C22⋊D61—21no—
324C4×C22⋊D61—21no—
325C4×C22⋊D61—21no—
326C4×C22⋊D61—21no—
327C4×C22⋊D61—21no—
328C4×C22⋊D61—21no—
329C4×C22⋊D61—21no—
330C4×C22⋊D61D411yescharacteristic
331C4×C22⋊D61D411yescharacteristic
332C4×C22⋊D61C2311yescharacteristic
333C4×C22⋊D61C2311yescharacteristic
334#14519737—21no—
335#14519737—21no—
336#14519737—21no—
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519736D411yescharacteristic
342#14519736C2311yescharacteristic
343#14519735—21no—
344#14519735C2311yescharacteristic
345#14519735C2311yescharacteristic
346#14519735C2311yescharacteristic
347#14519735C2311yescharacteristic
348#14519734—21no—
349#14519734—21no—
350#14519734D411yescharacteristic
351#14519734D411yescharacteristic
352#14519733—21no—
353#14519733—21no—
354#14519733—21no—
355#14519733—21no—
356#14519733—21no—
357#14519733—21no—
358#14519733—21no—
359C2×C4⋊Dic61C2311yescharacteristic
360C2×C4⋊Dic61C2311yescharacteristic
361C2×#11758196—21no—
362C2×#11758196—21no—
363C2×#11758196—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C2×C4×Dic61—21no—
369C2×C4×Dic61—21no—
370C42×D61—21no—
371C42×D61C2311yescharacteristic
372C42×D61C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519698C2311yescharacteristic
412#14519698C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61—21no—
436C2×SD16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441C2×M16×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443#127×C61C2311yescharacteristic
444#126×C61—21no—
445#125×C61C2311yescharacteristic
446#124×C61—21no—
447#124×C61C2311yescharacteristic
448#123×C61—21no—
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61—21no—
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×D4×C61—21no—
456C4×D4×C61—21no—
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460#117×C61—21no—
461C2×C42×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#41×C61—82no—
479C2×Q8×C61—21no—
480C2×Q8×C61C2411yescharacteristic
481C2×D4×C61—21no—
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61C2411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C2×D4×C61C2411yescharacteristic
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61C2×D411yescharacteristic
493C22×C4×C61C2×D411yescharacteristic
494C22×C4×C61C2411yescharacteristic
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61C2×D411yescharacteristic
507C2×C22⋊D61C2×D411yescharacteristic
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516#11758224—22no—
517#11758224—22no—
518#11758224—41no—
519#11758224—41no—
520#11758224—44no—
521#11758224—44no—
522#11758222—22no—
523#11758222—42no—
524#11758222—41no—
525#11758222—82no—
526#11758222—82no—
527C2×D244—21no—
528C2×D244—21no—
529C2×D244C2×D411yescharacteristic
530C2×D244C2411yescharacteristic
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2×D411yescharacteristic
539C2×C4×D61C2×D411yescharacteristic
540C2×C4×D61C2411yescharacteristic
541C2×C4×D61C2411yescharacteristic
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122—21no—
546C2×Dic122C2×D411yescharacteristic
547C2×Dic122C2411yescharacteristic
548SD16×C61—41no—
549SD16×C61—41no—
550D8×C61—41no—
551D8×C61—41no—
552M16×C61—41no—
553M16×C61—41no—
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C2×C8×C61C2411yescharacteristic
557C2×C8×C61C2411yescharacteristic
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C42×C61—21no—
577C42×C61C2×D411yescharacteristic
578C42×C61C2×D411yescharacteristic
579C42×C61C2411yescharacteristic
580C42×C61C2411yescharacteristic
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⋊Dic61—21no—
590C22⋊Dic61C2×D411yescharacteristic
591C22⋊Dic61C2×D411yescharacteristic
592#11758202—22no—
593#11758201—41no—
594#11758200—22no—
595#11758199—41no—
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#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⋊Dic61C2×D411yescharacteristic
617C4⋊Dic61C2×D411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2×D411yescharacteristic
664C4×Dic61C2×D411yescharacteristic
665C4×Dic61C2411yescharacteristic
666C4×Dic61C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671#11758189—41no—
672#11758189—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61C22×D411yescharacteristic
679C22×D61—21no—
680C22×D61C22×D411yescharacteristic
681C22×D61C22×D411yescharacteristic
682Q8×C61—21no—
683Q8×C61—21no—
684Q8×C61—81no—
685D4×C61—21no—
686D4×C61—21no—
687D4×C61—21no—
688D4×C61—21no—
689D4×C61—21no—
690D4×C61—21no—
691D4×C61—42no—
692D4×C61—42no—
693D4×C61—81no—
694D4×C61—81no—
695D4×C61—81no—
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—41no—
704C2×C4×C61—41no—
705C2×C4×C61—42no—
706C2×C4×C61—42no—
707C2×C4×C61—81no—
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C2511yescharacteristic
714C22⋊D61—22no—
715C22⋊D61—41no—
716C22⋊D61—42no—
717C22⋊D61—42no—
718C22⋊D61—42no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—42no—
722C22⋊D61—81no—
723C22⋊D61—81no—
724C22⋊D61—81no—
725C22⋊D61—81no—
726C22⋊D61—81no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—42no—
735C2×Dic61—42no—
736C2×Dic61—42no—
737C2×Dic61—42no—
738C2×Dic61—42no—
739C2×Dic61—42no—
740C2×Dic61—81no—
741C2×Dic61—81no—
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744C2×Dic61C22×D411yescharacteristic
745C2×Dic61C22×D411yescharacteristic
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748D244—21no—
749D244—21no—
750D244—41no—
751D244—81no—
752D244—81no—
753C4×D61—21no—
754C4×D61—21no—
755C4×D61—21no—
756C4×D61—21no—
757C4×D61—22no—
758C4×D61—41no—
759C4×D61—41no—
760C4×D61—41no—
761C4×D61—42no—
762C4×D61—42no—
763C4×D61—42no—
764C4×D61—42no—
765C4×D61—81no—
766Dic122—21no—
767Dic122—22no—
768Dic122—42no—
769Dic122—81no—
770Dic122—81no—
771Dic122—81no—
772Dic1222−1+412yes—
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—41no—
786C22×C61—41no—
787C22×C61—41no—
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—21no—
799C2×D61—21no—
800C2×D61—21no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C4×C61—21no—
805C4×C61—21no—
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—22no—
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#3317—611no—
845#3309—611no—
846#3309—611no—
847#3251—611no—
848#3251D6111yescharacteristic, complemented
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—81no—
862C2×C61—81no—
863C2×C61—81no—
864C2×C61#348911yescharacteristic
865C2×C61C2×#57511yescharacteristic
866C2×C61#358511yescharacteristic
867D61—41no—
868D61—41no—
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—611no—
884#552—1221no—
885#552—1221no—
886#552—1221no—
887#550—611no—
888#550—611no—
889#550—611no—
890#550—611no—
891#550—1221no—
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—1221no—
901#532—1221no—
902#532—1221no—
903#532C2×D6111yescharacteristic
904#529—611no—
905#529—611no—
906#529C2×D6111yescharacteristic
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#490—611no—
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#482—611no—
937#481—611no—
938#481—611no—
939#481—611no—
940#481—611no—
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#479—611no—
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#478C2×D6111yescharacteristic
964#478C2×D6111yescharacteristic
965#477—611no—
966#477—611no—
967#476—611no—
968#476—611no—
969#475—611no—
970#475—611no—
971#475C2×D6111yescharacteristic
972#474—611no—
973#474—611no—
974#474C2×D6111yescharacteristic
975#469—611no—
976#469—611no—
977#469C2×D6111yescharacteristic
978#469C2×D6111yescharacteristic
979#468—611no—
980#468—611no—
981#468C2×D6111yescharacteristic
982#468C2×D6111yescharacteristic
983#466—611no—
984#466—611no—
985#465—611no—
986#465—611no—
987#464—611no—
988#463—611no—
989#463C2×D6111yescharacteristic
990#463C2×D6111yescharacteristic
991#460—611no—
992#460—611no—
993#460C2×D6111yescharacteristic
994#459—611no—
995#459—611no—
996#459C2×D6111yescharacteristic
997#452—611no—
998#452—611no—
999#452—611no—
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#441—611no—
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#435—611no—
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#423C2×D6111yescharacteristic
1034C2×C4⋊C8—611no—
1035#417—611no—
1036#417—611no—
1037#417—611no—
1038#417—611no—
1039#416—611no—
1040#416—611no—
1041C61#6212311yescharacteristic, complemented, Sylow
1042C2×#41—21no—
1043C2×#41—611no—
1044C2×#41—611no—
1045C2×#41—611no—
1046C2×#41—611no—
1047C2×#41—1221no—
1048C2×#41—1221no—
1049C2×#41—1221no—
1050C2×#41—1221no—
1051C2×Q16—611no—
1052C2×SD16—611no—
1053C2×SD16—611no—
1054C2×SD16C22×D6111yescharacteristic
1055C2×SD16C22×D6111yescharacteristic
1056C2×D8—611no—
1057C2×D8C22×D6111yescharacteristic
1058C2×D8C22×D6111yescharacteristic
1059C2×M16—611no—
1060C2×M16—611no—
1061C2×M16C22×D6111yescharacteristic
1062C2×M16C22×D6111yescharacteristic
1063C22×C8—611no—
1064C22×C8—611no—
1065C4⋊Q8—611no—
1066C4⋊Q8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—1221no—
1070C4⋊Q8—1221no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8C22×D6111yescharacteristic
1074#127—611no—
1075#127—611no—
1076#127—1221no—
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—611no—
1088#125—611no—
1089#125—611no—
1090#125—611no—
1091#125—611no—
1092#125—611no—
1093#125—1221no—
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—21no—
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#124C22×D6111yescharacteristic
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—611no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8C22×D6111yescharacteristic
1133#121—21no—
1134#121—611no—
1135#121—611no—
1136#121—611no—
1137#121—611no—
1138#121—611no—
1139#121—611no—
1140#121—1221no—
1141#121—1221no—
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#121C22×D6111yescharacteristic
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—611no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8—1221no—
1171C4×Q8C22×D6111yescharacteristic
1172C4×D4—21no—
1173C4×D4—21no—
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—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
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—611no—
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#117—1221no—
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×C42—611no—
1234C2×C42—611no—
1235C2×C42—1221no—
1236C2×C42—1221no—
1237C2×C42—1221no—
1238C2×C42C22×D6111yescharacteristic
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#107C22×D6111yescharacteristic
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⋊C8C22×D6111yescharacteristic
1270C4⋊C8C22×D6111yescharacteristic
1271C4⋊C8C22×D6111yescharacteristic
1272C4⋊C8C22×D6111yescharacteristic
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
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⋊C8—611no—
1310C22⋊C8—611no—
1311#97—611no—
1312#97—611no—
1313#97—611no—
1314#97—611no—
1315C4×C8—611no—
1316C4×C8—611no—
1317#41—82no—
1318#41—1222no—
1319#41—1222no—
1320#41—1222no—
1321#41—4882no—
1322#41—4882no—
1323#41—2441no—
1324#41—2442no—
1325#41—2441no—
1326#41—2441no—
1327#41—2444no—
1328#41—2444no—
1329C2×Q8—21no—
1330C2×Q8—611no—
1331C2×Q8—611no—
1332C2×Q8—1221no—
1333C2×Q8—1221no—
1334C2×Q8—1221no—
1335C2×Q8—1221no—
1336C2×Q8C23×D6111yescharacteristic
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—611no—
1343C2×D4—611no—
1344C2×D4—611no—
1345C2×D4—611no—
1346C2×D4—1221no—
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×D4C23×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—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—1221no—
1384C22×C4D4×D6111yescharacteristic
1385C22×C4D4×D6111yescharacteristic
1386C22×C4C23×D6111yescharacteristic
1387Q16—1222no—
1388SD16—41no—
1389SD16—41no—
1390SD16—1222no—
1391SD16—2441no—
1392D8—41no—
1393D8—41no—
1394D8—2441no—
1395M16—41no—
1396M16—41no—
1397M16—2441no—
1398M16—2441no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—611no—
1403C2×C8—2441no—
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—611no—
1415C4⋊C4—611no—
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—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⋊C4—1221no—
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—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—611no—
1468C22⋊C4—611no—
1469C22⋊C4—611no—
1470C22⋊C4—611no—
1471C22⋊C4—611no—
1472C22⋊C4—611no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C42—21no—
1493C42—611no—
1494C42—611no—
1495C42—611no—
1496C42—611no—
1497C42—611no—
1498C42—611no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42D4×D6111yescharacteristic
1511C42D4×D6111yescharacteristic
1512C42C23×D6111yescharacteristic
1513C42C23×D6111yescharacteristic
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—611no—
1518C23—611no—
1519C23—1221no—
1520C23C2×D4×D6111yescharacteristic
1521Q8—21no—
1522Q8—21no—
1523Q8—81no—
1524Q8—612no—
1525Q8—1222no—
1526Q8—1221no—
1527Q8—4881no—
1528Q8—4881no—
1529Q8—4881no—
1530Q8—2442no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—21no—
1536D4—21no—
1537D4—42no—
1538D4—42no—
1539D4—81no—
1540D4—81no—
1541D4—81no—
1542D4—1222no—
1543D4—1221no—
1544D4—1221no—
1545D4—4881no—
1546D4—4881no—
1547D4—4881no—
1548D4—4881no—
1549D4—4881no—
1550D4—4881no—
1551D4—4881no—
1552D4—2441no—
1553D4—2442no—
1554D4—2441no—
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—21no—
1566C2×C4—21no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—42no—
1570C2×C4—42no—
1571C2×C4—81no—
1572C2×C4—611no—
1573C2×C4—611no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—1222no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—4881no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—2441no—
1594C2×C4—2441no—
1595C2×C4—2441no—
1596C2×C4—2442no—
1597C2×C4—2442no—
1598C2×C4—2442no—
1599C2×C4—2442no—
1600C2×C4—2442no—
1601C2×C4—2442no—
1602C2×C4—2442no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4C2×D4×D6111yescharacteristic
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—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—1221no—
1633C22—1221no—
1634C22—1221no—
1635C22—1221no—
1636C22—1221no—
1637C22—1221no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22C22×D4×D6111yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—612no—
1653C4—1221no—
1654C4—1221no—
1655C4—1222no—
1656C4—1221no—
1657C4—1221no—
1658C4—1221no—
1659C4—2441no—
1660C4—2441no—
1661C4—2441no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C42−1+4×D6111yescharacteristic
1666C4#1684059711yescharacteristic
1667C2—41no—
1668C2—81no—
1669C2—81no—
1670C2—81no—
1671C2—4881no—
1672C2—2441no—
1673C2—2441no—
1674C2#2145949411yescharacteristic
1675C2#575×D6111yescharacteristic
1676C2#2146059511yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3251C2
socleC22×C61C23×D4
hypercenter#3251D61
hypocenterC61#62123
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3251

Complements

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

NH ≅ G/Ntype
1. #21459785C2semidirect
2. #21459443C2semidirect
3. #21458746C2semidirect
4. #21458724C2semidirect
5. #21458543C2semidirect
6. #21458521C2semidirect
7. #21458440C2semidirect
8. #21458409C2semidirect
9. #21458341C2semidirect
10. #21458329C2semidirect
11. #21458326C2semidirect
12. #21458314C2semidirect
13. #21458152C2semidirect
14. #21458141C2semidirect
15. #21457952C2semidirect
16. #21457940C2semidirect
17. #21457832C2semidirect
18. #21457820C2semidirect
19. #21457178C2semidirect
20. #21457142C2semidirect
21. #21457007C2semidirect
22. #21457005C2semidirect
23. #21456954C2semidirect
24. #21455925C2semidirect
25. #21455922C2semidirect
26. #21455834C2semidirect
27. #21455642C2semidirect
28. #21455636C2semidirect
29. #21455604C2semidirect
30. #21454933C2semidirect
31. C61×#3251C2semidirect
848. #3251D61semidirect
1041. C61#62123semidirect

Maximal subgroups

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

subgroupindex
#214597852
#214594432
#214587462
#214587242
#214585432
#214585212
#214584402
#214584092
#214583412
#214583292
#214583262
#214583142
#214581522
#214581412
#214579522
#214579402
#214578322
#214578202
#214571782
#214571422
#214570072
#214570052
#214569542
#214559252
#214559222
#214558342
#214556422
#214556362
#214556042
#214549332
C61×#32512
#6212361