Finite Group Databasebeta

← #30558410

Subgroups — #30558410

Order 15616.

2020 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459737C211yesmaximal, characteristic, complemented
2#21459603C211yesmaximal, characteristic, complemented
3#21457995C211yesmaximal, characteristic, complemented
4#21457994C211yesmaximal, characteristic, complemented
5#21457983C211yesmaximal, characteristic, complemented
6#21457918C211yesmaximal, characteristic, complemented
7#21457917C211yesmaximal, characteristic, complemented
8#21457914C211yesmaximal, characteristic, complemented
9#21457913C211yesmaximal, characteristic, complemented
10#21457871C211yesmaximal, characteristic, complemented
11#21457870C211yesmaximal, characteristic, complemented
12#21457867C211yesmaximal, characteristic, complemented
13#21457866C211yesmaximal, characteristic, complemented
14#21457802C211yesmaximal, characteristic, complemented
15#21457801C211yesmaximal, characteristic, complemented
16#21457790C211yesmaximal, characteristic, complemented
17#21457789C211yesmaximal, characteristic, complemented
18#491×D61C211yesmaximal, characteristic, complemented
19#21455787C211yesmaximal, characteristic, complemented
20#21455783C211yesmaximal, characteristic, complemented
21#21455638C211yesmaximal, characteristic, complemented
22#21455505C211yesmaximal, characteristic, complemented
23#21455503C211yesmaximal, characteristic, complemented
24#21455301C211yesmaximal, characteristic, complemented
25#21455129C211yesmaximal, characteristic, complemented
26#21455129C211yesmaximal, characteristic, complemented
27#21454614C211yesmaximal, characteristic, complemented
28#21454533C211yesmaximal, characteristic, complemented
29#21454351C211yesmaximal, characteristic, complemented
30#21454347C211yesmaximal, characteristic, complemented
31C61×#3320C211yesmaximal, characteristic, complemented
32C2×#14519825C2211yescharacteristic
33C2×#14519825C2211yescharacteristic
34C2×#14519806C2211yescharacteristic
35C2×#14519806C2211yescharacteristic
36C2×#14519798C2211yescharacteristic
37C2×#14519785C2211yescharacteristic
38C2×#14519783C2211yescharacteristic
39#16840464C2211yescharacteristic
40#16840463—21no—
41#16840462—21no—
42#16840462C2211yescharacteristic
43#16840459—21no—
44#16840459C2211yescharacteristic
45#16840457—21no—
46#16840452C2211yescharacteristic
47#16840451C2211yescharacteristic
48#16840450C2211yescharacteristic
49#16840447C2211yescharacteristic
50Q8×D244C2211yescharacteristic
51Q8×C22⋊D61C2211yescharacteristic
52Q8×C22⋊D61C2211yescharacteristic
53#16840417—21no—
54#16840417C2211yescharacteristic
55#16840415—21no—
56#16840415C2211yescharacteristic
57#16840414—21no—
58#16840414—21no—
59#16840414C2211yescharacteristic
60#16840414C2211yescharacteristic
61#16840369—21no—
62#16840362—21no—
63#16840341C2211yescharacteristic
64#16840341C2211yescharacteristic
65#16840335—21no—
66#16840335—21no—
67#16840335C2211yescharacteristic
68#16840335C2211yescharacteristic
69#16840309—21no—
70#16840309C2211yescharacteristic
71C4⋊Q8×D61—21no—
72C4⋊Q8×D61C2211yescharacteristic
73#16840292—21no—
74#16840289—21no—
75#125×D61C2211yescharacteristic
76#16840243C2211yescharacteristic
77#16840242C2211yescharacteristic
78C4×#11758226C2211yescharacteristic
79C4×#11758224C2211yescharacteristic
80#16840132C2211yescharacteristic
81#16840131C2211yescharacteristic
82#16840130C2211yescharacteristic
83#16840129C2211yescharacteristic
84#16840129C2211yescharacteristic
85#16840129C2211yescharacteristic
86#16840129C2211yescharacteristic
87#16840105C2211yescharacteristic
88#16840105C2211yescharacteristic
89#16840104C2211yescharacteristic
90#16840103C2211yescharacteristic
91#16840102C2211yescharacteristic
92#16840102C2211yescharacteristic
93#16840100C2211yescharacteristic
94#16840099C2211yescharacteristic
95#16840098C2211yescharacteristic
96#16840096C2211yescharacteristic
97#16840094C2211yescharacteristic
98#16840092C2211yescharacteristic
99#16840091C2211yescharacteristic
100#16840090C2211yescharacteristic
101#16840071C2211yescharacteristic
102#16840069C2211yescharacteristic
103#16840067C2211yescharacteristic
104#16840065C2211yescharacteristic
105#16840063C2211yescharacteristic
106#16840061C2211yescharacteristic
107#16840059C2211yescharacteristic
108#16840021C2211yescharacteristic
109#16840020C2211yescharacteristic
110#16840019C2211yescharacteristic
111#16840018C2211yescharacteristic
112#16840007C2211yescharacteristic
113#16840006C2211yescharacteristic
114#16840005C2211yescharacteristic
115#16840004C2211yescharacteristic
116#16840003C2211yescharacteristic
117#16840002C2211yescharacteristic
118#16840001C2211yescharacteristic
119#16839990C2211yescharacteristic
120#16839989C2211yescharacteristic
121#16839988C2211yescharacteristic
122#16839973C2211yescharacteristic
123#16839971C2211yescharacteristic
124#16839971C2211yescharacteristic
125#16839969C2211yescharacteristic
126#16839967C2211yescharacteristic
127#16839965C2211yescharacteristic
128#16839965C2211yescharacteristic
129#16839927C2211yescharacteristic
130#16839927C2211yescharacteristic
131#16839926C2211yescharacteristic
132#16839926C2211yescharacteristic
133#16839919C2211yescharacteristic
134#16839919C2211yescharacteristic
135#16839918C2211yescharacteristic
136#16839918C2211yescharacteristic
137#16839906C2211yescharacteristic
138#16839906C2211yescharacteristic
139#16839905C2211yescharacteristic
140#16839905C2211yescharacteristic
141#16839899C2211yescharacteristic
142#16839899C2211yescharacteristic
143#16839872C2211yescharacteristic
144#16839871C2211yescharacteristic
145#16839867C2211yescharacteristic
146#16839866C2211yescharacteristic
147#16839864C2211yescharacteristic
148#16839863C2211yescharacteristic
149#16839861C2211yescharacteristic
150#16839836C2211yescharacteristic
151#16839835C2211yescharacteristic
152#16839834C2211yescharacteristic
153#16839833C2211yescharacteristic
154#16839832C2211yescharacteristic
155#16839831C2211yescharacteristic
156#16839830C2211yescharacteristic
157#16839803C2211yescharacteristic
158#16839801C2211yescharacteristic
159#16839799C2211yescharacteristic
160#16839784C2211yescharacteristic
161#16839771C2211yescharacteristic
162#16839769C2211yescharacteristic
163#16839769C2211yescharacteristic
164#16839769C2211yescharacteristic
165#16839769C2211yescharacteristic
166#16839764C2211yescharacteristic
167#16839762C2211yescharacteristic
168#16839762C2211yescharacteristic
169#16839762C2211yescharacteristic
170#16839762C2211yescharacteristic
171#16839761C2211yescharacteristic
172#16839759C2211yescharacteristic
173#16839757C2211yescharacteristic
174#16839757C2211yescharacteristic
175#16839757C2211yescharacteristic
176#16839756C2211yescharacteristic
177#16839755C2211yescharacteristic
178C2×#14519701C2211yescharacteristic
179#103×D61C2211yescharacteristic
180#103×D61C2211yescharacteristic
181#103×D61C2211yescharacteristic
182#103×D61C2211yescharacteristic
183#103×D61C2211yescharacteristic
184#103×D61C2211yescharacteristic
185#16839727C2211yescharacteristic
186#16839727C2211yescharacteristic
187#97×D61C2211yescharacteristic
188C61×#553C2211yescharacteristic
189D4×Q8×C61C2211yescharacteristic
190C61×#491C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#484C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#468C2211yescharacteristic
195C61×#465C2211yescharacteristic
196C61×#461C2211yescharacteristic
197C61×#448C2211yescharacteristic
198C61×#448C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#419C2211yescharacteristic
202C2×#103×C61C2211yescharacteristic
203#14519825—24no—
204#14519825—24no—
205#14519825—42no—
206#14519825—42no—
207C2×#11758226—21no—
208C2×#11758226—21no—
209C2×#11758226C2311yescharacteristic
210C2×#11758226C2311yescharacteristic
211C2×#11758226C2311yescharacteristic
212C2×#11758222—21no—
213C2×#11758222—21no—
214C2×#11758222—21no—
215C2×#11758222—21no—
216C2×#11758222C2311yescharacteristic
217C2×#11758222C2311yescharacteristic
218C2×#11758222C2311yescharacteristic
219C2×#11758222C2311yescharacteristic
220C2×#11758224C2311yescharacteristic
221C2×Q8×D61—21no—
222C2×Q8×D61—21no—
223C2×Q8×D61C2311yescharacteristic
224C2×Q8×D61C2311yescharacteristic
225C2×Q8×D61C2311yescharacteristic
226C2×Q8×D61C2311yescharacteristic
227#14519806—42no—
228#14519806—42no—
229#14519798—24no—
230C2×Dic244C2311yescharacteristic
231C2×Dic244C2311yescharacteristic
232C2×#11758202C2311yescharacteristic
233C2×#11758202C2311yescharacteristic
234C2×#11758202C2311yescharacteristic
235C2×#11758190C2311yescharacteristic
236C2×#11758200C2311yescharacteristic
237C2×#11758200C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239#14519785—42no—
240#14519783—42no—
241C2×#11758194C2311yescharacteristic
242C2×#11758189C2311yescharacteristic
243C2×#11758189C2311yescharacteristic
244C2×#11758189C2311yescharacteristic
245C2×#11758189C2311yescharacteristic
246C22×#92418C2311yescharacteristic
247C2×C8×D61C2311yescharacteristic
248C2×C8×D61C2311yescharacteristic
249C2×C8×D61C2311yescharacteristic
250C2×C8×D61C2311yescharacteristic
251#14519777—21no—
252#14519777C2311yescharacteristic
253#14519776—21no—
254#14519776—21no—
255#14519776—21no—
256#14519776—21no—
257#14519776D411yescharacteristic
258#14519775—21no—
259#14519775—21no—
260#14519775C2311yescharacteristic
261#14519775C2311yescharacteristic
262#14519773D411yescharacteristic
263#14519772—21no—
264#14519772—21no—
265#14519770—21no—
266#14519770—21no—
267#14519770—21no—
268#14519770—21no—
269#14519770—21no—
270#14519769—21no—
271#14519769C2311yescharacteristic
272#14519768—21no—
273#14519768C2311yescharacteristic
274#14519768C2311yescharacteristic
275#14519767—21no—
276#14519767—21no—
277#14519767—21no—
278#14519767—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763D411yescharacteristic
282#14519763D411yescharacteristic
283#14519762—21no—
284#14519762—21no—
285#14519762—21no—
286#14519762—21no—
287#14519762—21no—
288#14519762—21no—
289#14519762—21no—
290#14519761—21no—
291#14519760—21no—
292#14519760—21no—
293#14519759—21no—
294#14519759—21no—
295#14519759—21no—
296#14519759—21no—
297#14519759—21no—
298#14519759—21no—
299#14519759—21no—
300#14519758—21no—
301#14519758—21no—
302#14519757—21no—
303#14519757—21no—
304#14519757C2311yescharacteristic
305#14519757C2311yescharacteristic
306#14519757C2311yescharacteristic
307#14519757C2311yescharacteristic
308#14519756—21no—
309#14519756—21no—
310#14519756C2311yescharacteristic
311#14519756C2311yescharacteristic
312#14519756C2311yescharacteristic
313#14519756C2311yescharacteristic
314#14519754—21no—
315#14519754—21no—
316#14519753—21no—
317#14519753—21no—
318#14519753C2311yescharacteristic
319#14519753C2311yescharacteristic
320#14519752—21no—
321#14519752D411yescharacteristic
322#14519750—21no—
323#14519750—21no—
324#14519750—21no—
325#14519750—21no—
326#14519750—21no—
327#14519750D411yescharacteristic
328#14519750D411yescharacteristic
329#14519749—21no—
330#14519749—21no—
331#14519749—21no—
332#14519748—21no—
333#14519748—21no—
334#14519748—21no—
335#14519748—21no—
336#14519748D411yescharacteristic
337#14519748C2311yescharacteristic
338#14519748C2311yescharacteristic
339Q8×Dic61C2311yescharacteristic
340C4×Dic122—21no—
341C4×Dic122C2311yescharacteristic
342#14519742—21no—
343#14519742C2311yescharacteristic
344C4×D244—21no—
345C4×D244—21no—
346C4×D244—21no—
347C4×D244C2311yescharacteristic
348C4×D244C2311yescharacteristic
349D4×Dic61—21no—
350D4×Dic61C2311yescharacteristic
351#14519739—21no—
352#14519739—21no—
353#14519739C2311yescharacteristic
354C4×C22⋊D61—21no—
355C4×C22⋊D61—21no—
356C4×C22⋊D61—21no—
357C4×C22⋊D61—21no—
358C4×C22⋊D61—21no—
359C4×C22⋊D61—21no—
360C4×C22⋊D61C2311yescharacteristic
361C4×C22⋊D61C2311yescharacteristic
362#14519737—21no—
363#14519737—21no—
364#14519737—21no—
365#14519737—21no—
366#14519736—21no—
367#14519736C2311yescharacteristic
368#14519735—21no—
369#14519735—21no—
370#14519735C2311yescharacteristic
371#14519735C2311yescharacteristic
372#14519735C2311yescharacteristic
373#14519735C2311yescharacteristic
374#14519734—21no—
375#14519733—21no—
376#14519733—21no—
377C2×C4⋊Dic61C2311yescharacteristic
378C4⋊C4×D61—21no—
379C4⋊C4×D61—21no—
380C4⋊C4×D61—21no—
381C4⋊C4×D61—21no—
382C4⋊C4×D61—21no—
383C4⋊C4×D61—21no—
384C4⋊C4×D61—21no—
385C4⋊C4×D61—21no—
386C4⋊C4×D61C2311yescharacteristic
387C4⋊C4×D61C2311yescharacteristic
388C4⋊C4×D61C2311yescharacteristic
389C4⋊C4×D61C2311yescharacteristic
390C2×C4×Dic61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519701C2311yescharacteristic
420#14519701C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519700C2311yescharacteristic
426#14519700C2311yescharacteristic
427#14519700C2311yescharacteristic
428#14519699C2311yescharacteristic
429#14519699C2311yescharacteristic
430#14519699C2311yescharacteristic
431#14519698C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442#14519687C2311yescharacteristic
443#14519687C2311yescharacteristic
444C22×Q8×C61C2311yescharacteristic
445C22×Q8×C61C2311yescharacteristic
446C2×SD16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic
451C4⋊Q8×C61—21no—
452C4⋊Q8×C61C2311yescharacteristic
453#126×C61—21no—
454#125×C61C2311yescharacteristic
455#123×C61—21no—
456C22⋊Q8×C61—21no—
457C22⋊Q8×C61—21no—
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic
460#121×C61—21no—
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×D4×C61—21no—
465C4×D4×C61—21no—
466C4×D4×C61C2311yescharacteristic
467C4×D4×C61C2311yescharacteristic
468#117×C61C2311yescharacteristic
469C2×C4⋊C4×C61C2311yescharacteristic
470#107×C61C2311yescharacteristic
471#107×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#103×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486#97×C61C2311yescharacteristic
487C2×Q8×C61—21no—
488C2×Q8×C61—21no—
489C2×Q8×C61—22no—
490C2×Q8×C61—22no—
491C2×Q8×C61—41no—
492C2×Q8×C61—41no—
493C2×Q8×C61C2411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61C2×D411yescharacteristic
499C2×D4×C61C2411yescharacteristic
500C22×C4×C61—21no—
501C22×C4×C61—21no—
502C22×C4×C61—21no—
503C22×C4×C61—21no—
504C22×C4×C61C2411yescharacteristic
505C22×C4×C61C2411yescharacteristic
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61C2×D411yescharacteristic
512C2×C22⋊D61C2×D411yescharacteristic
513C2×C22⋊D61C2×D411yescharacteristic
514C2×C22⋊D61C2×D411yescharacteristic
515C2×C22⋊D61C2×D411yescharacteristic
516C2×C22⋊D61C2×D411yescharacteristic
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520#11758226—22no—
521#11758226—22no—
522#11758226—22no—
523#11758226—41no—
524#11758226—41no—
525#11758226—44no—
526#11758226—44no—
527#11758226#4114yes—
528Q8×D61—22no—
529Q8×D61—22no—
530Q8×D61—22no—
531Q8×D61—22no—
532Q8×D61—22no—
533Q8×D61—22no—
534Q8×D61—41no—
535Q8×D61—41no—
536Q8×D61—44no—
537Q8×D61—44no—
538#11758224—22no—
539#11758224—22no—
540#11758222—22no—
541#11758222—22no—
542#11758222—22no—
543#11758222—22no—
544#11758222—22no—
545#11758222—22no—
546#11758222—41no—
547#11758222—41no—
548#11758222—44no—
549#11758222—44no—
550#11758222—44no—
551#11758222—44no—
552C2×D244—21no—
553C2×D244—21no—
554C2×D244—21no—
555C2×D244C2×D411yescharacteristic
556C2×D244C2×D411yescharacteristic
557C2×D244C2×D411yescharacteristic
558C2×D244C2411yescharacteristic
559C2×C4×D61—21no—
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61—21no—
563C2×C4×D61—21no—
564C2×C4×D61—21no—
565C2×C4×D61—21no—
566C2×C4×D61—21no—
567C2×C4×D61—21no—
568C2×C4×D61—21no—
569C2×C4×D61—21no—
570C2×C4×D61—21no—
571C2×C4×D61—21no—
572C2×C4×D61—21no—
573C2×C4×D61—21no—
574C2×C4×D61C2×D411yescharacteristic
575C2×C4×D61C2×D411yescharacteristic
576C2×C4×D61C2411yescharacteristic
577C2×C4×D61C2411yescharacteristic
578C2×C4×D61C2411yescharacteristic
579C2×Dic122—21no—
580C2×Dic122—21no—
581C2×Dic122—21no—
582C2×Dic122—21no—
583C2×Dic122C2×D411yescharacteristic
584C2×Dic122C2×D411yescharacteristic
585C2×Dic122C2411yescharacteristic
586C2×Dic122C2411yescharacteristic
587C2×Dic122C2411yescharacteristic
588SD16×C61—22no—
589SD16×C61—41no—
590SD16×C61—41no—
591M16×C61—41no—
592C2×C8×C61—41no—
593C2×C8×C61C2411yescharacteristic
594C2×C8×C61C2411yescharacteristic
595C2×C8×C61C2411yescharacteristic
596C2×C8×C61C2411yescharacteristic
597C4⋊C4×C61—21no—
598C4⋊C4×C61—21no—
599C4⋊C4×C61—21no—
600C4⋊C4×C61—21no—
601C4⋊C4×C61—21no—
602C4⋊C4×C61—21no—
603C4⋊C4×C61—21no—
604C4⋊C4×C61—21no—
605C4⋊C4×C61C2×D411yescharacteristic
606C4⋊C4×C61C2411yescharacteristic
607C4⋊C4×C61C2411yescharacteristic
608C4⋊C4×C61C2411yescharacteristic
609C4⋊C4×C61C2411yescharacteristic
610C22⋊C4×C61—21no—
611C22⋊C4×C61—21no—
612C22⋊C4×C61—21no—
613C22⋊C4×C61—21no—
614C22⋊C4×C61—21no—
615C22⋊C4×C61—21no—
616C22⋊C4×C61C2×D411yescharacteristic
617C22⋊C4×C61C2×D411yescharacteristic
618C42×C61—21no—
619C42×C61—21no—
620C42×C61C2411yescharacteristic
621C22⋊Dic61—21no—
622C22⋊Dic61—21no—
623C22⋊Dic61—21no—
624C22⋊Dic61—21no—
625C22⋊Dic61—21no—
626C22⋊Dic61—21no—
627C22⋊Dic61—21no—
628C22⋊Dic61—21no—
629C22⋊Dic61C2×D411yescharacteristic
630C22⋊Dic61C2×D411yescharacteristic
631#11758202—22no—
632#11758202—41no—
633#11758202—41no—
634#11758200—41no—
635#11758200—41no—
636#11758199—22no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198C2×D411yescharacteristic
650#11758198C2×D411yescharacteristic
651#11758198C2×D411yescharacteristic
652#11758198C2×D411yescharacteristic
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⋊Dic61—21no—
662C4⋊Dic61—21no—
663C4⋊Dic61C2×D411yescharacteristic
664C4⋊Dic61C2411yescharacteristic
665C4⋊Dic61C2411yescharacteristic
666C4⋊Dic61C2411yescharacteristic
667C4⋊Dic61C2411yescharacteristic
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196—21no—
674#11758196—21no—
675#11758196—21no—
676#11758196—21no—
677#11758196—21no—
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686#11758196—21no—
687#11758196—21no—
688#11758196C2×D411yescharacteristic
689#11758196C2×D411yescharacteristic
690C4×Dic61—21no—
691C4×Dic61—21no—
692C4×Dic61—21no—
693C4×Dic61—21no—
694C4×Dic61—21no—
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61C2×D411yescharacteristic
699C4×Dic61C2×D411yescharacteristic
700C4×Dic61C2411yescharacteristic
701#11758194—41no—
702C2×#92418—41no—
703C2×#92418C2411yescharacteristic
704C2×#92418C2411yescharacteristic
705C2×#92418C2411yescharacteristic
706C2×#92418C2411yescharacteristic
707Dic244—41no—
708Dic244—41no—
709#11758190—22no—
710#11758189—22no—
711#11758189—22no—
712#11758189—41no—
713#11758189—41no—
714C8×D61—22no—
715C8×D61—22no—
716C8×D61—41no—
717C8×D61—41no—
718C23×C61—21no—
719C23×C61C22×D411yescharacteristic
720C23×C61C22×D411yescharacteristic
721C22×D61—21no—
722C22×D61C22×D411yescharacteristic
723C22×D61C22×D411yescharacteristic
724C22×D61C22×D411yescharacteristic
725Q8×C61—21no—
726Q8×C61—21no—
727Q8×C61—21no—
728Q8×C61—21no—
729Q8×C61—21no—
730Q8×C61—42no—
731Q8×C61—42no—
732Q8×C61C2×#4112yes—
733D4×C61—21no—
734D4×C61—21no—
735D4×C61—41no—
736D4×C61—81no—
737D4×C61—81no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—42no—
750C2×C4×C61—42no—
751C2×C4×C61—81no—
752C2×C4×C61—81no—
753C2×C4×C61C22×D411yescharacteristic
754C2×C4×C61C22×D411yescharacteristic
755C2×C4×C61C22×D411yescharacteristic
756C2×C4×C61C22×D411yescharacteristic
757C2×C4×C61C2511yescharacteristic
758C22⋊D61—22no—
759C22⋊D61—22no—
760C22⋊D61—22no—
761C22⋊D61—22no—
762C22⋊D61—41no—
763C22⋊D61—41no—
764C22⋊D61—42no—
765C22⋊D61—42no—
766C22⋊D61—42no—
767C22⋊D61—81no—
768C22⋊D61—81no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—42no—
777C2×Dic61—81no—
778C2×Dic61—81no—
779C2×Dic61C22×D411yescharacteristic
780C2×Dic61C22×D411yescharacteristic
781C2×Dic61C22×D411yescharacteristic
782C2×Dic61C22×D411yescharacteristic
783C2×Dic61C22×D411yescharacteristic
784D244—24no—
785D244—22no—
786D244—22no—
787D244—21no—
788D244—41no—
789D244—42no—
790D244—42no—
791D244C2×#4112yes—
792C4×D61—21no—
793C4×D61—21no—
794C4×D61—21no—
795C4×D61—21no—
796C4×D61—24no—
797C4×D61—41no—
798C4×D61—41no—
799C4×D61—42no—
800C4×D61—42no—
801C4×D61—42no—
802C4×D61—42no—
803C4×D61—42no—
804C4×D61—42no—
805C4×D61—42no—
806C4×D61—42no—
807C4×D61—42no—
808C4×D61—42no—
809C4×D61—81no—
810C4×D61—81no—
811C4×D61—81no—
812C4×D61—81no—
813C4×D61C2×#4112yes—
814C4×D61H(5,𝔽2)12yes—
815Dic122—22no—
816Dic122—22no—
817Dic122—21no—
818Dic122—21no—
819Dic122—21no—
820Dic122—21no—
821Dic122—21no—
822Dic122—21no—
823Dic122—42no—
824Dic122—42no—
825Dic122—42no—
826Dic122—42no—
827C8×C61—21no—
828C8×C61—21no—
829C8×C61—21no—
830C8×C61—21no—
831#92418—21no—
832#92418—21no—
833#92418—21no—
834#92418—21no—
835#61224—611nomaximal, Sylow
836C22×C61—21no—
837C22×C61—21no—
838C22×C61—21no—
839C22×C61—21no—
840C22×C61—21no—
841C22×C61—21no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61—41no—
845C22×C61C23×D411yescharacteristic
846C2×D61—21no—
847C2×D61—21no—
848C2×D61—21no—
849C2×D61—21no—
850C2×D61—21no—
851C2×D61—21no—
852C2×D61—22no—
853C2×D61—21no—
854C2×D61—21no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61#54612yes—
858C4×C61—21no—
859C4×C61—21no—
860C4×C61—21no—
861C4×C61—21no—
862C4×C61—22no—
863C4×C61—41no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61—41no—
869C4×C61C22×#4111yescharacteristic
870C4×C61C2×H(5,𝔽2)11yescharacteristic
871Dic61—21no—
872Dic61—21no—
873Dic61—21no—
874Dic61—21no—
875Dic61—41no—
876Dic61—41no—
877Dic61—41no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882Dic61#54612yes—
883#3512—611no—
884#3499—611no—
885#3320—611no—
886#3320—611no—
887#3320—611no—
888#3320D6111yescharacteristic, complemented
889#3315—611no—
890#3315—611no—
891#3315—611no—
892#3315—611no—
893#3312—611no—
894#3312—611no—
895#3312—611no—
896#3312—611no—
897#3307—611no—
898#3307—611no—
899#3307—611no—
900#3307—611no—
901C2×#491—611no—
902#3097—611no—
903#3097—611no—
904#3080—611no—
905#3063—611no—
906#3063—611no—
907#3039—611no—
908#3013—611no—
909#3013—611no—
910#2943—611no—
911#2932—611no—
912#2898—611no—
913#2898—611no—
914C2×C61—41no—
915C2×C61—41no—
916C2×C61—81no—
917C2×C61C2×#54611yescharacteristic
918C2×C61#358611yescharacteristic
919C2×C61#358611yescharacteristic
920D61—22no—
921D61—41no—
922D61—41no—
923D61—42no—
924C2×2−1+4—611no—
925C2×2−1+4—611no—
926C2×#137—611no—
927C2×#137—611no—
928C2×#135—611no—
929C2×#131—611no—
930C2×#131—611no—
931#553—611no—
932#553—611no—
933#553—611no—
934#553—1221no—
935#553—1221no—
936#553—1221no—
937#553—1221no—
938#553C2×D6111yescharacteristic
939#552—611no—
940#552—611no—
941#552—611no—
942#552—611no—
943D4×Q8—611no—
944D4×Q8—611no—
945D4×Q8—611no—
946D4×Q8C2×D6111yescharacteristic
947#547—611no—
948#547—611no—
949#547—611no—
950#547—611no—
951#547—1221no—
952#547—1221no—
953#547—1221no—
954#547—1221no—
955#541—1221no—
956#540—1221no—
957#537—611no—
958#537—611no—
959#536—611no—
960#536—611no—
961#536—1221no—
962#536—1221no—
963#532—611no—
964#532—1221no—
965C2×C4⋊Q8—611no—
966C2×C4⋊Q8—1221no—
967#529—1221no—
968#529—1221no—
969C2×#125—611no—
970#520—611no—
971#520—611no—
972C4×#41—611no—
973C4×#41—611no—
974#491—611no—
975#491—611no—
976#491—611no—
977#491—611no—
978#491—611no—
979#491—611no—
980#491—611no—
981#491C2×D6111yescharacteristic
982#485—611no—
983#485—611no—
984#485—611no—
985#485—611no—
986#485—611no—
987#485—611no—
988#485—611no—
989#485C2×D6111yescharacteristic
990#484—611no—
991#484—611no—
992#484—611no—
993#484C2×D6111yescharacteristic
994#483—611no—
995#483—611no—
996#483—611no—
997#483—611no—
998#479—611no—
999#479—611no—
1000#479—611no—
1001#479C2×D6111yescharacteristic
1002#478—611no—
1003#478—611no—
1004#478—611no—
1005#478—611no—
1006#470—611no—
1007#470—611no—
1008#470—611no—
1009#470—611no—
1010#468—611no—
1011#468—611no—
1012#468—611no—
1013#468C2×D6111yescharacteristic
1014#467—611no—
1015#467—611no—
1016#467—611no—
1017#467—611no—
1018#465—611no—
1019#465—611no—
1020#465—611no—
1021#465C2×D6111yescharacteristic
1022#462—611no—
1023#462—611no—
1024#462—611no—
1025#462—611no—
1026#461—611no—
1027#461—611no—
1028#461—611no—
1029#461C2×D6111yescharacteristic
1030#452—611no—
1031#452—611no—
1032#452—611no—
1033#452—611no—
1034#451—611no—
1035#451—611no—
1036#451—611no—
1037#451—611no—
1038#449—611no—
1039#449—611no—
1040#449—611no—
1041#449—611no—
1042#448—611no—
1043#448—611no—
1044#448C2×D6111yescharacteristic
1045#448C2×D6111yescharacteristic
1046#442—611no—
1047#442—611no—
1048#441—611no—
1049#441—611no—
1050#440—611no—
1051#440—611no—
1052#440—611no—
1053#440C2×D6111yescharacteristic
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435—611no—
1058#435—611no—
1059#435—611no—
1060#435—611no—
1061#435C2×D6111yescharacteristic
1062#428—611no—
1063#428—611no—
1064#427—611no—
1065#423—611no—
1066#419—611no—
1067#419—611no—
1068#419—611no—
1069#419—611no—
1070#419—611no—
1071#419C2×D6111yescharacteristic
1072#417—611no—
1073#417—611no—
1074#417—611no—
1075#417—611no—
1076#417—611no—
1077#417—611no—
1078#416—611no—
1079#416—611no—
1080#416—611no—
1081#416—611no—
1082#416—611no—
1083#416—611no—
1084C2×#103—611no—
1085C2×#103—611no—
1086C2×#103—611no—
1087C2×#103—611no—
1088C2×#103—611no—
1089C2×#103—611no—
1090C2×#103—611no—
1091C2×#103C2×D6111yescharacteristic
1092#408—611no—
1093#408—611no—
1094C2×#97—611no—
1095C61#6122411yescharacteristic, complemented, Sylow
10962−1+4—1224no—
10972−1+4—1224no—
10982−1+4—2442no—
10992−1+4—2442no—
1100C2×#41—611no—
1101C2×#41—611no—
1102C2×#41—611no—
1103C2×#41—611no—
1104C2×#41—611no—
1105C2×#41—611no—
1106C2×#41—611no—
1107C2×#41—611no—
1108C2×#41—1221no—
1109C2×#41—1221no—
1110C2×#41—1221no—
1111C2×#41—1221no—
1112C2×#41—1221no—
1113C2×#41—1221no—
1114C22×Q8—611no—
1115C22×Q8—611no—
1116C22×Q8—611no—
1117C22×Q8—611no—
1118C22×Q8—1221no—
1119C22×Q8—1221no—
1120C22×Q8C22×D6111yescharacteristic
1121C22×Q8C22×D6111yescharacteristic
1122#137—2442no—
1123#137—2442no—
1124#135—1224no—
1125C2×Q16—611no—
1126C2×Q16—611no—
1127C2×Q16—611no—
1128C2×Q16—611no—
1129C2×Q16—611no—
1130C2×SD16—611no—
1131C2×SD16—611no—
1132C2×SD16—611no—
1133C2×SD16C22×D6111yescharacteristic
1134C2×SD16C22×D6111yescharacteristic
1135C2×SD16C22×D6111yescharacteristic
1136C2×D8—611no—
1137#131—2442no—
1138#131—2442no—
1139C2×M16—611no—
1140C2×M16—611no—
1141C2×M16—611no—
1142C2×M16—611no—
1143C2×M16—611no—
1144C2×M16C22×D6111yescharacteristic
1145C22×C8—611no—
1146C22×C8—611no—
1147C22×C8—611no—
1148C22×C8—611no—
1149C22×C8—611no—
1150C22×C8C22×D6111yescharacteristic
1151C4⋊Q8—21no—
1152C4⋊Q8—611no—
1153C4⋊Q8—611no—
1154C4⋊Q8—611no—
1155C4⋊Q8—611no—
1156C4⋊Q8—1221no—
1157C4⋊Q8—1221no—
1158C4⋊Q8—1221no—
1159C4⋊Q8—1221no—
1160C4⋊Q8—1221no—
1161C4⋊Q8—1221no—
1162C4⋊Q8—1221no—
1163C4⋊Q8C22×D6111yescharacteristic
1164#127—611no—
1165#126—21no—
1166#126—1221no—
1167#126—1221no—
1168#126—1221no—
1169#126—1221no—
1170#126—1221no—
1171#126—1221no—
1172#126—1221no—
1173#125—611no—
1174#125—611no—
1175#125—611no—
1176#125—1221no—
1177#125—1221no—
1178#125—1221no—
1179#125—1221no—
1180#125—1221no—
1181#125—1221no—
1182#125C22×D6111yescharacteristic
1183#124—611no—
1184#124—611no—
1185#124—1221no—
1186#124—1221no—
1187#123—21no—
1188#123—1221no—
1189#123—1221no—
1190#123—1221no—
1191#123—1221no—
1192#123—1221no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205#123—1221no—
1206#123—1221no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—611no—
1210C22⋊Q8—611no—
1211C22⋊Q8—611no—
1212C22⋊Q8—611no—
1213C22⋊Q8—611no—
1214C22⋊Q8—611no—
1215C22⋊Q8—611no—
1216C22⋊Q8—611no—
1217C22⋊Q8—611no—
1218C22⋊Q8—611no—
1219C22⋊Q8—1221no—
1220C22⋊Q8—1221no—
1221C22⋊Q8—1221no—
1222C22⋊Q8—1221no—
1223C22⋊Q8—1221no—
1224C22⋊Q8—1221no—
1225C22⋊Q8—1221no—
1226C22⋊Q8—1221no—
1227C22⋊Q8C22×D6111yescharacteristic
1228C22⋊Q8C22×D6111yescharacteristic
1229#121—21no—
1230#121—611no—
1231#121—611no—
1232#121—611no—
1233#121—611no—
1234#121—611no—
1235#121—611no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121C22×D6111yescharacteristic
1250#121C22×D6111yescharacteristic
1251C4×Q8—611no—
1252C4×Q8—611no—
1253C4×Q8—611no—
1254C4×Q8—1221no—
1255C4×Q8—1221no—
1256C4×Q8C22×D6111yescharacteristic
1257C4×D4—21no—
1258C4×D4—21no—
1259C4×D4—611no—
1260C4×D4—611no—
1261C4×D4—611no—
1262C4×D4—611no—
1263C4×D4—611no—
1264C4×D4—611no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4—1221no—
1268C4×D4—1221no—
1269C4×D4—1221no—
1270C4×D4—1221no—
1271C4×D4—1221no—
1272C4×D4—1221no—
1273C4×D4—1221no—
1274C4×D4—1221no—
1275C4×D4—1221no—
1276C4×D4—1221no—
1277C4×D4—1221no—
1278C4×D4—1221no—
1279C4×D4—1221no—
1280C4×D4—1221no—
1281C4×D4C22×D6111yescharacteristic
1282C4×D4C22×D6111yescharacteristic
1283#117—611no—
1284#117—611no—
1285#117—611no—
1286#117—611no—
1287#117—611no—
1288#117—1221no—
1289#117—1221no—
1290#117—1221no—
1291#117—1221no—
1292#117—1221no—
1293#117—1221no—
1294#117C22×D6111yescharacteristic
1295C2×C4⋊C4—611no—
1296C2×C4⋊C4—611no—
1297C2×C4⋊C4—611no—
1298C2×C4⋊C4—611no—
1299C2×C4⋊C4—611no—
1300C2×C4⋊C4—1221no—
1301C2×C4⋊C4—1221no—
1302C2×C4⋊C4—1221no—
1303C2×C4⋊C4—1221no—
1304C2×C4⋊C4—1221no—
1305C2×C4⋊C4—1221no—
1306C2×C4⋊C4—1221no—
1307C2×C4⋊C4—1221no—
1308C2×C4⋊C4C22×D6111yescharacteristic
1309C2×C42—611no—
1310C2×C42—1221no—
1311C2×C42—1221no—
1312#107—611no—
1313#107—611no—
1314#107—611no—
1315#107—611no—
1316#107C22×D6111yescharacteristic
1317#107C22×D6111yescharacteristic
1318#106—611no—
1319#106—611no—
1320#106—611no—
1321#106—611no—
1322#106—611no—
1323#106C22×D6111yescharacteristic
1324C4⋊C8—611no—
1325C4⋊C8—611no—
1326C4⋊C8—611no—
1327C4⋊C8C22×D6111yescharacteristic
1328#103—611no—
1329#103—611no—
1330#103—611no—
1331#103—611no—
1332#103—611no—
1333#103—611no—
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103—611no—
1338#103—611no—
1339#103—611no—
1340#103—611no—
1341#103—611no—
1342#103—611no—
1343#103—611no—
1344#103—611no—
1345#103—611no—
1346#103—611no—
1347#103—611no—
1348#103—611no—
1349#103—611no—
1350#103—611no—
1351#103C22×D6111yescharacteristic
1352#103C22×D6111yescharacteristic
1353#103C22×D6111yescharacteristic
1354#103C22×D6111yescharacteristic
1355#103C22×D6111yescharacteristic
1356#103C22×D6111yescharacteristic
1357#103C22×D6111yescharacteristic
1358#103C22×D6111yescharacteristic
1359#103C22×D6111yescharacteristic
1360#102—611no—
1361#102—611no—
1362#102—611no—
1363#102—611no—
1364#102—611no—
1365#102—611no—
1366#102—611no—
1367#102C22×D6111yescharacteristic
1368C22⋊C8—611no—
1369C22⋊C8—611no—
1370C22⋊C8—611no—
1371C22⋊C8—611no—
1372C22⋊C8—611no—
1373C22⋊C8—611no—
1374C22⋊C8C22×D6111yescharacteristic
1375C22⋊C8C22×D6111yescharacteristic
1376#97—611no—
1377#97—611no—
1378#97—611no—
1379#97C22×D6111yescharacteristic
1380#41—614no—
1381#41—1222no—
1382#41—1222no—
1383#41—1222no—
1384#41—1222no—
1385#41—1222no—
1386#41—1222no—
1387#41—1222no—
1388#41—1222no—
1389#41—1222no—
1390#41—1222no—
1391#41—1222no—
1392#41—2441no—
1393#41—2441no—
1394#41—2444no—
1395#41—2444no—
1396#41—2444no—
1397#41—2444no—
1398#41—2441no—
1399#41—2441no—
1400#41—2444no—
1401#41—2444no—
1402C2×Q8—21no—
1403C2×Q8—21no—
1404C2×Q8—22no—
1405C2×Q8—22no—
1406C2×Q8—41no—
1407C2×Q8—41no—
1408C2×Q8—611no—
1409C2×Q8—611no—
1410C2×Q8—611no—
1411C2×Q8—611no—
1412C2×Q8—611no—
1413C2×Q8—1221no—
1414C2×Q8—1221no—
1415C2×Q8—1221no—
1416C2×Q8—1221no—
1417C2×Q8—1222no—
1418C2×Q8—1222no—
1419C2×Q8—1222no—
1420C2×Q8—1222no—
1421C2×Q8—1222no—
1422C2×Q8—1222no—
1423C2×Q8—2441no—
1424C2×Q8—2441no—
1425C2×Q8—2444no—
1426C2×Q8—2444no—
1427C2×Q8C23×D6111yescharacteristic
1428C2×Q8C23×D6111yescharacteristic
1429C2×Q8C23×D6111yescharacteristic
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—611no—
1433C2×D4—611no—
1434C2×D4—611no—
1435C2×D4—611no—
1436C2×D4—611no—
1437C2×D4—611no—
1438C2×D4—611no—
1439C2×D4—611no—
1440C2×D4—611no—
1441C2×D4—611no—
1442C2×D4—1221no—
1443C2×D4—1221no—
1444C2×D4—1221no—
1445C2×D4—1221no—
1446C2×D4—1221no—
1447C2×D4—1221no—
1448C2×D4—1221no—
1449C2×D4—1221no—
1450C2×D4D4×D6111yescharacteristic
1451C2×D4C23×D6111yescharacteristic
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—611no—
1457C22×C4—611no—
1458C22×C4—611no—
1459C22×C4—611no—
1460C22×C4—611no—
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×C4—1221no—
1475C22×C4—1221no—
1476C22×C4—1221no—
1477C22×C4—1221no—
1478C22×C4—1221no—
1479C22×C4C23×D6111yescharacteristic
1480C22×C4C23×D6111yescharacteristic
1481Q16—1222no—
1482Q16—2441no—
1483Q16—2441no—
1484Q16—2441no—
1485Q16—2441no—
1486SD16—22no—
1487SD16—41no—
1488SD16—41no—
1489SD16—1222no—
1490SD16—2441no—
1491SD16—2441no—
1492D8—1222no—
1493M16—41no—
1494M16—1222no—
1495M16—1222no—
1496M16—2441no—
1497M16—2441no—
1498M16—2441no—
1499C2×C8—41no—
1500C2×C8—611no—
1501C2×C8—611no—
1502C2×C8—611no—
1503C2×C8—611no—
1504C2×C8—1222no—
1505C2×C8—1222no—
1506C2×C8—2441no—
1507C2×C8—2441no—
1508C2×C8—2441no—
1509C2×C8C23×D6111yescharacteristic
1510C2×C8C23×D6111yescharacteristic
1511C2×C8C23×D6111yescharacteristic
1512C2×C8C23×D6111yescharacteristic
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—611no—
1522C4⋊C4—611no—
1523C4⋊C4—611no—
1524C4⋊C4—611no—
1525C4⋊C4—611no—
1526C4⋊C4—611no—
1527C4⋊C4—611no—
1528C4⋊C4—1221no—
1529C4⋊C4—1221no—
1530C4⋊C4—1221no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4—1221no—
1534C4⋊C4—1221no—
1535C4⋊C4—1221no—
1536C4⋊C4—1221no—
1537C4⋊C4—1221no—
1538C4⋊C4—1221no—
1539C4⋊C4—1221no—
1540C4⋊C4—1221no—
1541C4⋊C4—1221no—
1542C4⋊C4—1221no—
1543C4⋊C4—1221no—
1544C4⋊C4—1221no—
1545C4⋊C4—1221no—
1546C4⋊C4—1221no—
1547C4⋊C4—1221no—
1548C4⋊C4—1221no—
1549C4⋊C4—1221no—
1550C4⋊C4—1221no—
1551C4⋊C4—1221no—
1552C4⋊C4—1221no—
1553C4⋊C4—1221no—
1554C4⋊C4—1221no—
1555C4⋊C4—1221no—
1556C4⋊C4—1221no—
1557C4⋊C4—1221no—
1558C4⋊C4D4×D6111yescharacteristic
1559C4⋊C4C23×D6111yescharacteristic
1560C4⋊C4C23×D6111yescharacteristic
1561C4⋊C4C23×D6111yescharacteristic
1562C4⋊C4C23×D6111yescharacteristic
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—611no—
1570C22⋊C4—611no—
1571C22⋊C4—611no—
1572C22⋊C4—611no—
1573C22⋊C4—611no—
1574C22⋊C4—611no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4—1221no—
1583C22⋊C4—1221no—
1584C22⋊C4—1221no—
1585C22⋊C4—1221no—
1586C22⋊C4—1221no—
1587C22⋊C4—1221no—
1588C22⋊C4—1221no—
1589C22⋊C4—1221no—
1590C22⋊C4—1221no—
1591C22⋊C4—1221no—
1592C22⋊C4—1221no—
1593C22⋊C4—1221no—
1594C22⋊C4—1221no—
1595C22⋊C4D4×D6111yescharacteristic
1596C22⋊C4D4×D6111yescharacteristic
1597C42—21no—
1598C42—21no—
1599C42—611no—
1600C42—611no—
1601C42—611no—
1602C42—1221no—
1603C42—1221no—
1604C42—1221no—
1605C42—1221no—
1606C42—1221no—
1607C42—1221no—
1608C42—1221no—
1609C42—1221no—
1610C42C23×D6111yescharacteristic
1611C23—21no—
1612C23—611no—
1613C23—611no—
1614C23—611no—
1615C23—1221no—
1616C23C2×D4×D6111yescharacteristic
1617C23C2×D4×D6111yescharacteristic
1618Q8—21no—
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—42no—
1624Q8—42no—
1625Q8—1222no—
1626Q8—1222no—
1627Q8—1221no—
1628Q8—1221no—
1629Q8—1221no—
1630Q8—1221no—
1631Q8—1221no—
1632Q8—1221no—
1633Q8—2442no—
1634Q8—2442no—
1635Q8—2442no—
1636Q8—2442no—
1637Q8#41×D6112yes—
1638D4—21no—
1639D4—21no—
1640D4—41no—
1641D4—81no—
1642D4—81no—
1643D4—612no—
1644D4—1222no—
1645D4—1222no—
1646D4—1224no—
1647D4—1222no—
1648D4—1222no—
1649D4—1222no—
1650D4—1222no—
1651D4—1221no—
1652D4—4881no—
1653D4—4881no—
1654D4—2441no—
1655D4—2442no—
1656D4—2442no—
1657D4—2441no—
1658D4—2441no—
1659D4—2442no—
1660D4—2442no—
1661D4—2442no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—42no—
1674C2×C4—42no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—611no—
1678C2×C4—612no—
1679C2×C4—612no—
1680C2×C4—611no—
1681C2×C4—611no—
1682C2×C4—611no—
1683C2×C4—611no—
1684C2×C4—1224no—
1685C2×C4—1221no—
1686C2×C4—1221no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—1221no—
1695C2×C4—1221no—
1696C2×C4—4881no—
1697C2×C4—4881no—
1698C2×C4—4881no—
1699C2×C4—4881no—
1700C2×C4—4881no—
1701C2×C4—4881no—
1702C2×C4—2441no—
1703C2×C4—2441no—
1704C2×C4—2442no—
1705C2×C4—2442no—
1706C2×C4—2442no—
1707C2×C4—2442no—
1708C2×C4—2442no—
1709C2×C4—2442no—
1710C2×C4—2442no—
1711C2×C4—2442no—
1712C2×C4—2442no—
1713C2×C4—2442no—
1714C2×C4—2442no—
1715C2×C4C2×D4×D6111yescharacteristic
1716C2×C4C2×D4×D6111yescharacteristic
1717C2×C4C2×D4×D6111yescharacteristic
1718C2×C4C2×D4×D6111yescharacteristic
1719C2×C4C24×D6111yescharacteristic
1720C8—21no—
1721C8—21no—
1722C8—21no—
1723C8—21no—
1724C8—1221no—
1725C8—1221no—
1726C8—1221no—
1727C8—1221no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—21no—
1732C22—21no—
1733C22—21no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—612no—
1738C22—1221no—
1739C22—1221no—
1740C22—1222no—
1741C22—1221no—
1742C22—1221no—
1743C22—1221no—
1744C22—1221no—
1745C22—1221no—
1746C22—1221no—
1747C22—2441no—
1748C22—2441no—
1749C22C22×D4×D6111yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—22no—
1753C4—21no—
1754C4—21no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—612no—
1762C4—1221no—
1763C4—1221no—
1764C4—1221no—
1765C4—1221no—
1766C4—2441no—
1767C4—2441no—
1768C4—2441no—
1769C4—2441no—
1770C4—2441no—
1771C4—2441no—
1772C4—2441no—
1773C4C2×#41×D6111yescharacteristic
1774C4H(5,𝔽2)×D6111yescharacteristic
1775C2—41no—
1776C2—41no—
1777C2—81no—
1778C2—1222no—
1779C2—2441no—
1780C2—2441no—
1781C2—2442no—
1782C2#546×D6111yescharacteristic
1783C2#2146060111yescharacteristic
1784C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3320C2
socleC22×C61C23×D4
hypercenter#3320D61
hypocenterC61#61224
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3320

Complements

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

NH ≅ G/Ntype
1. #21459737C2semidirect
2. #21459603C2semidirect
3. #21457995C2semidirect
4. #21457994C2semidirect
5. #21457983C2semidirect
6. #21457918C2semidirect
7. #21457917C2semidirect
8. #21457914C2semidirect
9. #21457913C2semidirect
10. #21457871C2semidirect
11. #21457870C2semidirect
12. #21457867C2semidirect
13. #21457866C2semidirect
14. #21457802C2semidirect
15. #21457801C2semidirect
16. #21457790C2semidirect
17. #21457789C2semidirect
18. #491×D61C2semidirect
19. #21455787C2semidirect
20. #21455783C2semidirect
21. #21455638C2semidirect
22. #21455505C2semidirect
23. #21455503C2semidirect
24. #21455301C2semidirect
25. #21455129C2semidirect
26. #21455129C2semidirect
27. #21454614C2semidirect
28. #21454533C2semidirect
29. #21454351C2semidirect
30. #21454347C2semidirect
31. C61×#3320C2semidirect
888. #3320D61semidirect
1095. C61#61224semidirect

Maximal subgroups

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

subgroupindex
#214597372
#214596032
#214579952
#214579942
#214579832
#214579182
#214579172
#214579142
#214579132
#214578712
#214578702
#214578672
#214578662
#214578022
#214578012
#214577902
#214577892
#491×D612
#214557872
#214557832
#214556382
#214555052
#214555032
#214553012
#214551292
#214546142
#214545332
#214543512
#214543472
C61×#33202
#6122461