Finite Group Databasebeta

← #30576074

Subgroups — #30576074

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#21459445C211yesmaximal, characteristic, complemented
3#21458752C211yesmaximal, characteristic, complemented
4#21458730C211yesmaximal, characteristic, complemented
5#21458549C211yesmaximal, characteristic, complemented
6#21458527C211yesmaximal, characteristic, complemented
7#21458443C211yesmaximal, characteristic, complemented
8#21458412C211yesmaximal, characteristic, complemented
9#21458339C211yesmaximal, characteristic, complemented
10#21458327C211yesmaximal, characteristic, complemented
11#21458324C211yesmaximal, characteristic, complemented
12#21458312C211yesmaximal, characteristic, complemented
13#21458150C211yesmaximal, characteristic, complemented
14#21458139C211yesmaximal, characteristic, complemented
15#21457950C211yesmaximal, characteristic, complemented
16#21457938C211yesmaximal, characteristic, complemented
17#21457830C211yesmaximal, characteristic, complemented
18#21457818C211yesmaximal, characteristic, complemented
19#21457181C211yesmaximal, characteristic, complemented
20#21457178C211yesmaximal, characteristic, complemented
21#21457142C211yesmaximal, characteristic, complemented
22#21457011C211yesmaximal, characteristic, complemented
23#21457007C211yesmaximal, characteristic, complemented
24#21456954C211yesmaximal, characteristic, complemented
25#21455927C211yesmaximal, characteristic, complemented
26#21455836C211yesmaximal, characteristic, complemented
27#21455641C211yesmaximal, characteristic, complemented
28#21455638C211yesmaximal, characteristic, complemented
29#21455606C211yesmaximal, characteristic, complemented
30#21454938C211yesmaximal, characteristic, complemented
31C61×#3111C211yesmaximal, characteristic, complemented
32Q8×Dic122C2211yescharacteristic
33#16840488C2211yescharacteristic
34#16840477—21no—
35#16840477C2211yescharacteristic
36#16840475—21no—
37#16840475—21no—
38#16840475C2211yescharacteristic
39#16840475C2211yescharacteristic
40#16840471C2211yescharacteristic
41#16840470C2211yescharacteristic
42#16840464C2211yescharacteristic
43#16840462C2211yescharacteristic
44#16840454C2211yescharacteristic
45#16840453C2211yescharacteristic
46#16840451—21no—
47#16840449—21no—
48#16840445—21no—
49#16840434C2211yescharacteristic
50#16840433—21no—
51#16840433C2211yescharacteristic
52#16840431C2211yescharacteristic
53#16840431C2211yescharacteristic
54#16840412C2211yescharacteristic
55#16840410—21no—
56#16840369—21no—
57#16840354—21no—
58#16840353—21no—
59#16840318C2211yescharacteristic
60#16840312—21no—
61#16840312C2211yescharacteristic
62#16840309—21no—
63#16840309—21no—
64#16840309C2211yescharacteristic
65#16840309C2211yescharacteristic
66#16840291C2211yescharacteristic
67#16840291C2211yescharacteristic
68C2×#14519769C2211yescharacteristic
69#125×D61C2211yescharacteristic
70#16840241—21no—
71C4×#11758226C2211yescharacteristic
72C4×#11758226C2211yescharacteristic
73C4×#11758222—21no—
74C4×#11758222C2211yescharacteristic
75#16840171C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840166C2211yescharacteristic
80#16840159C2211yescharacteristic
81#16840127C2211yescharacteristic
82#16840127C2211yescharacteristic
83#16840125C2211yescharacteristic
84#16840125C2211yescharacteristic
85#16840107C2211yescharacteristic
86#16840107C2211yescharacteristic
87#16840102C2211yescharacteristic
88#16840101C2211yescharacteristic
89#16840089C2211yescharacteristic
90#16840088C2211yescharacteristic
91#16840085C2211yescharacteristic
92#16840085C2211yescharacteristic
93#16840084C2211yescharacteristic
94#16840084C2211yescharacteristic
95#16840082C2211yescharacteristic
96#16840081C2211yescharacteristic
97#16840081C2211yescharacteristic
98#16840079C2211yescharacteristic
99#16840077C2211yescharacteristic
100#16840076C2211yescharacteristic
101#16840076C2211yescharacteristic
102#16840074C2211yescharacteristic
103#16840071C2211yescharacteristic
104#16840069C2211yescharacteristic
105#16840069C2211yescharacteristic
106#16840069C2211yescharacteristic
107#16840069C2211yescharacteristic
108#16840067C2211yescharacteristic
109#16840065C2211yescharacteristic
110#16840063C2211yescharacteristic
111#16840063C2211yescharacteristic
112#16840063C2211yescharacteristic
113#16840063C2211yescharacteristic
114#16840062C2211yescharacteristic
115#16840062C2211yescharacteristic
116#16840062C2211yescharacteristic
117#16840062C2211yescharacteristic
118#16840061C2211yescharacteristic
119#16840059C2211yescharacteristic
120#16840059C2211yescharacteristic
121#16840055C2211yescharacteristic
122#16840055C2211yescharacteristic
123#16840051C2211yescharacteristic
124#16840050C2211yescharacteristic
125#16840047C2211yescharacteristic
126#16840045C2211yescharacteristic
127#16840045C2211yescharacteristic
128#16840042C2211yescharacteristic
129#16840041C2211yescharacteristic
130#16840040C2211yescharacteristic
131#16840014C2211yescharacteristic
132#16840013C2211yescharacteristic
133#16840013C2211yescharacteristic
134#16840012C2211yescharacteristic
135#16840011C2211yescharacteristic
136#16840010C2211yescharacteristic
137#16840010C2211yescharacteristic
138#16840005C2211yescharacteristic
139#16839997C2211yescharacteristic
140#16839995C2211yescharacteristic
141#16839994C2211yescharacteristic
142#16839988C2211yescharacteristic
143#16839974C2211yescharacteristic
144#16839974C2211yescharacteristic
145#16839962C2211yescharacteristic
146#16839960C2211yescharacteristic
147#16839960C2211yescharacteristic
148#16839957C2211yescharacteristic
149#16839955C2211yescharacteristic
150#16839955C2211yescharacteristic
151#16839923C2211yescharacteristic
152#16839923C2211yescharacteristic
153#16839906C2211yescharacteristic
154#16839906C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839890C2211yescharacteristic
157#16839871C2211yescharacteristic
158#16839869C2211yescharacteristic
159#16839865C2211yescharacteristic
160#16839863C2211yescharacteristic
161Q16×Dic61C2211yescharacteristic
162SD16×Dic61C2211yescharacteristic
163#16839847C2211yescharacteristic
164#16839842C2211yescharacteristic
165#16839837C2211yescharacteristic
166#16839837C2211yescharacteristic
167#16839836C2211yescharacteristic
168#16839836C2211yescharacteristic
169#16839835C2211yescharacteristic
170#16839835C2211yescharacteristic
171#16839818C2211yescharacteristic
172#16839814C2211yescharacteristic
173#16839805C2211yescharacteristic
174#16839805C2211yescharacteristic
175#16839803C2211yescharacteristic
176#16839801C2211yescharacteristic
177#16839799C2211yescharacteristic
178#16839797C2211yescharacteristic
179#16839786C2211yescharacteristic
180#16839784C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839763C2211yescharacteristic
183#16839763C2211yescharacteristic
184#16839762C2211yescharacteristic
185#16839762C2211yescharacteristic
186#16839757C2211yescharacteristic
187#16839757C2211yescharacteristic
188C61×#529C2211yescharacteristic
189C4×#41×C61C2211yescharacteristic
190C61×#485C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#479C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#464C2211yescharacteristic
195C61×#463C2211yescharacteristic
196C61×#452C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#442C2211yescharacteristic
199C61×#441C2211yescharacteristic
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C61×#432C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758222—21no—
209C2×#11758222D411yescharacteristic
210C2×#11758224—21no—
211C2×#11758201C2311yescharacteristic
212C2×#11758201C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758194C2311yescharacteristic
216C2×#11758194C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C2×#11758189C2311yescharacteristic
219C2×C8×D61C2311yescharacteristic
220C2×C8×D61C2311yescharacteristic
221#14519777—21no—
222#14519777C2311yescharacteristic
223#14519776—21no—
224#14519776—21no—
225#14519776—21no—
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519774—21no—
231#14519774C2311yescharacteristic
232#14519773—21no—
233#14519773—21no—
234#14519773C2311yescharacteristic
235#14519773C2311yescharacteristic
236#14519772—21no—
237#14519771—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519769—21no—
243#14519769—21no—
244#14519769—21no—
245#14519769C2311yescharacteristic
246#14519769C2311yescharacteristic
247#14519769C2311yescharacteristic
248#14519769C2311yescharacteristic
249#14519768—21no—
250#14519768—21no—
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519765—21no—
258#14519765—21no—
259#14519765—21no—
260#14519763—21no—
261#14519763—21no—
262#14519763—21no—
263#14519763—21no—
264#14519763—21no—
265#14519763—21no—
266#14519762—21no—
267#14519761—21no—
268#14519761—21no—
269#14519760—21no—
270#14519759—21no—
271#14519759—21no—
272#14519759—21no—
273#14519758—21no—
274#14519757—21no—
275#14519756—21no—
276#14519755—21no—
277#14519755—21no—
278#14519754—21no—
279#14519754—21no—
280#14519754—21no—
281#14519754—21no—
282#14519753C2311yescharacteristic
283#14519753C2311yescharacteristic
284#14519752—21no—
285#14519752—21no—
286#14519752C2311yescharacteristic
287#14519752C2311yescharacteristic
288#14519751—21no—
289#14519751—21no—
290#14519751—21no—
291#14519751—21no—
292#14519751—21no—
293#14519751C2311yescharacteristic
294#14519751C2311yescharacteristic
295#14519750—21no—
296#14519750—21no—
297#14519750—21no—
298#14519750—21no—
299#14519750—21no—
300#14519750—21no—
301#14519750—21no—
302#14519749—21no—
303#14519748—21no—
304#14519748—21no—
305#14519748C2311yescharacteristic
306#14519748C2311yescharacteristic
307#14519748C2311yescharacteristic
308#14519748C2311yescharacteristic
309Q8×Dic61C2311yescharacteristic
310Q8×Dic61C2311yescharacteristic
311Q8×Dic61C2311yescharacteristic
312Q8×Dic61C2311yescharacteristic
313C4×Dic122—21no—
314C4×Dic122—21no—
315C4×Dic122D411yescharacteristic
316C4×Dic122C2311yescharacteristic
317#14519742—21no—
318#14519742—21no—
319C4×D244—21no—
320C4×D244—21no—
321C4×D244—21no—
322C4×D244—21no—
323C4×D244D411yescharacteristic
324C4×D244C2311yescharacteristic
325C4×D244C2311yescharacteristic
326C4×D244C2311yescharacteristic
327D4×Dic61—21no—
328D4×Dic61C2311yescharacteristic
329D4×Dic61C2311yescharacteristic
330#14519739—21no—
331#14519739—21no—
332#14519739C2311yescharacteristic
333#14519739C2311yescharacteristic
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61D411yescharacteristic
340C4×C22⋊D61D411yescharacteristic
341C4×C22⋊D61C2311yescharacteristic
342C4×C22⋊D61C2311yescharacteristic
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519736—21no—
347#14519736D411yescharacteristic
348#14519735—21no—
349#14519735—21no—
350#14519735C2311yescharacteristic
351#14519735C2311yescharacteristic
352#14519735C2311yescharacteristic
353#14519735C2311yescharacteristic
354#14519734—21no—
355#14519734—21no—
356#14519734—21no—
357#14519734D411yescharacteristic
358#14519734D411yescharacteristic
359#14519733—21no—
360#14519733—21no—
361#14519733—21no—
362C2×C4⋊Dic61C2311yescharacteristic
363C2×C4⋊Dic61C2311yescharacteristic
364C2×#11758196—21no—
365C2×#11758196—21no—
366C2×#11758196—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61C2311yescharacteristic
370C4⋊C4×D61C2311yescharacteristic
371C42×D61—21no—
372C42×D61—21no—
373C42×D61C2311yescharacteristic
374C42×D61C2311yescharacteristic
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
396C4⋊#92418C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C2×Q16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440#126×C61—21no—
441#125×C61C2311yescharacteristic
442#124×C61C2311yescharacteristic
443#123×C61—21no—
444C22⋊Q8×C61C2311yescharacteristic
445#121×C61C2311yescharacteristic
446C4×Q8×C61C2311yescharacteristic
447C4×Q8×C61C2311yescharacteristic
448C4×Q8×C61C2311yescharacteristic
449C4×D4×C61—21no—
450C4×D4×C61—21no—
451C4×D4×C61—21no—
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455#117×C61—21no—
456#117×C61—21no—
457#117×C61C2311yescharacteristic
458C2×C42×C61—21no—
459C2×C42×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478#41×C61—22no—
479#41×C61—41no—
480C2×Q8×C61C2411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61C2411yescharacteristic
485C2×D4×C61C2411yescharacteristic
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61C2×D411yescharacteristic
491C22×C4×C61C2×D411yescharacteristic
492C22×C4×C61C2411yescharacteristic
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61C2×D411yescharacteristic
504C2×C22⋊D61C2×D411yescharacteristic
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509#11758226—22no—
510#11758226—22no—
511#11758226—41no—
512#11758226—41no—
513#11758224—44no—
514#11758222—42no—
515#11758222—44no—
516#11758222—82no—
517#11758222—82no—
518#11758222—82no—
519C2×D244—21no—
520C2×D244—21no—
521C2×D244—21no—
522C2×D244—21no—
523C2×D244—21no—
524C2×D244—21no—
525C2×D244C2×D411yescharacteristic
526C2×D244C2411yescharacteristic
527C2×D244C2411yescharacteristic
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
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×Dic122—21no—
547C2×Dic122C2×D411yescharacteristic
548Q16×C61—22no—
549SD16×C61—22no—
550SD16×C61—41no—
551D8×C61—41no—
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C42×C61—21no—
575C42×C61—21no—
576C42×C61—21no—
577C42×C61—21no—
578C42×C61C2×D411yescharacteristic
579C42×C61C2×D411yescharacteristic
580C42×C61C2411yescharacteristic
581C42×C61C2411yescharacteristic
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61C2×D411yescharacteristic
589C22⋊Dic61C2×D411yescharacteristic
590#11758201—41no—
591#11758201—41no—
592#11758199—41no—
593#11758199—41no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610#11758198C2×D411yescharacteristic
611#11758198C2×D411yescharacteristic
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⋊Dic61C2×D411yescharacteristic
622C4⋊Dic61C2×D411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
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×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C4×Dic61C2411yescharacteristic
665#11758194—41no—
666#11758194—41no—
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×C61C22×D411yescharacteristic
678C22×D61—21no—
679C22×D61—21no—
680C22×D61C22×D411yescharacteristic
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—42no—
691D4×C61—42no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—41no—
701C2×C4×C61—41no—
702C2×C4×C61—42no—
703C2×C4×C61—42no—
704C2×C4×C61—42no—
705C2×C4×C61—81no—
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C2511yescharacteristic
712C22⋊D61—22no—
713C22⋊D61—41no—
714C22⋊D61—42no—
715C22⋊D61—42no—
716C22⋊D61—42no—
717C22⋊D61—81no—
718C22⋊D61—81no—
719C22⋊D61—81no—
720C22⋊D61—81no—
721C22⋊D61—81no—
722C22⋊D61—81no—
723C22⋊D61—81no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—42no—
731C2×Dic61—42no—
732C2×Dic61—81no—
733C2×Dic61—81no—
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740D244—21no—
741D244—21no—
742D244—21no—
743D244—21no—
744D244—41no—
745D244—42no—
746D244—42no—
747D244—42no—
748D244—81no—
749D244—81no—
750D244—81no—
751C4×D61—21no—
752C4×D61—21no—
753C4×D61—21no—
754C4×D61—21no—
755C4×D61—22no—
756C4×D61—41no—
757C4×D61—41no—
758C4×D61—41no—
759C4×D61—42no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—42no—
763C4×D61—42no—
764C4×D61—42no—
765C4×D61—42no—
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—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61C23×D411yescharacteristic
792C2×D61—21no—
793C2×D61—21no—
794C2×D61—21no—
795C2×D61—21no—
796C2×D61—21no—
797C2×D61—21no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C4×C61—21no—
805C4×C61—21no—
806C4×C61—22no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61C2×2−1+411yescharacteristic
816C4×C61#58511yescharacteristic
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#3317—611no—
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#3111D6111yescharacteristic, complemented
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#348911yescharacteristic
864C2×C61C2×#57511yescharacteristic
865C2×C61#358511yescharacteristic
866D61—41no—
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—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—611no—
901#532—1221no—
902#532—1221no—
903#532—1221no—
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—1221no—
914C4×#41C2×D6111yescharacteristic
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#485C2×D6111yescharacteristic
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#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#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#478C2×D6111yescharacteristic
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#468—611no—
983#466—611no—
984#466—611no—
985#465—611no—
986#465—611no—
987#464C2×D6111yescharacteristic
988#463—611no—
989#463—611no—
990#463C2×D6111yescharacteristic
991#460—611no—
992#460—611no—
993#460—611no—
994#459—611no—
995#459—611no—
996#459—611no—
997#452—611no—
998#452—611no—
999#452C2×D6111yescharacteristic
1000#449—611no—
1001#449—611no—
1002#449C2×D6111yescharacteristic
1003#446—611no—
1004#446—611no—
1005#442—611no—
1006#442C2×D6111yescharacteristic
1007#441—611no—
1008#441C2×D6111yescharacteristic
1009#440—611no—
1010#440—611no—
1011#440C2×D6111yescharacteristic
1012#440C2×D6111yescharacteristic
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#432C2×D6111yescharacteristic
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#417—611no—
1039#416—611no—
1040#416—611no—
1041C61#6212311yescharacteristic, complemented, Sylow
1042C2×#41—611no—
1043C2×#41—611no—
1044C2×#41—611no—
1045C2×#41—1221no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C2×#41—1221no—
1049C2×#41—1221no—
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×D8C22×D6111yescharacteristic
1059C2×M16—611no—
1060C2×M16—611no—
1061C2×M16—611no—
1062C2×M16—611no—
1063C22×C8—611no—
1064C22×C8—611no—
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—611no—
1075#127—611no—
1076#127—611no—
1077#127—1221no—
1078#127—1221no—
1079#127—1221no—
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—1221no—
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—611no—
1134#121—611no—
1135#121—611no—
1136#121—611no—
1137#121—611no—
1138#121—611no—
1139#121—611no—
1140#121—611no—
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#121—1221no—
1157#121—1221no—
1158#121C22×D6111yescharacteristic
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—1221no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8C22×D6111yescharacteristic
1170C4×Q8C22×D6111yescharacteristic
1171C4×Q8C22×D6111yescharacteristic
1172C4×D4—21no—
1173C4×D4—21no—
1174C4×D4—21no—
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×D4C22×D6111yescharacteristic
1203C4×D4C22×D6111yescharacteristic
1204C4×D4C22×D6111yescharacteristic
1205#117—21no—
1206#117—21no—
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#117C22×D6111yescharacteristic
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—21no—
1234C2×C42—611no—
1235C2×C42—611no—
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⋊C8—611no—
1270C4⋊C8—611no—
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#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#102—611no—
1300#102—611no—
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#97C22×D6111yescharacteristic
1314#97C22×D6111yescharacteristic
1315C4×C8—611no—
1316C4×C8—611no—
1317#41—22no—
1318#41—41no—
1319#41—1222no—
1320#41—1222no—
1321#41—4882no—
1322#41—4882no—
1323#41—4882no—
1324#41—2442no—
1325#41—2444no—
1326#41—2441no—
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—611no—
1340C2×D4—611no—
1341C2×D4—611no—
1342C2×D4—611no—
1343C2×D4—611no—
1344C2×D4—1221no—
1345C2×D4—1221no—
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×D4—1221no—
1360C2×D4C23×D6111yescharacteristic
1361C2×D4C23×D6111yescharacteristic
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
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×C4D4×D6111yescharacteristic
1385C22×C4D4×D6111yescharacteristic
1386C22×C4C23×D6111yescharacteristic
1387Q16—22no—
1388SD16—22no—
1389SD16—41no—
1390SD16—2441no—
1391SD16—2441no—
1392D8—41no—
1393D8—2441no—
1394D8—2441no—
1395M16—2441no—
1396M16—2441no—
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—21no—
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—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⋊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—611no—
1467C22⋊C4—611no—
1468C22⋊C4—611no—
1469C22⋊C4—611no—
1470C22⋊C4—611no—
1471C22⋊C4—611no—
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⋊C4—1221no—
1491C22⋊C4—1221no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—611no—
1497C42—611no—
1498C42—611no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
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—611no—
1517C23—611no—
1518C23—1221no—
1519C23—1221no—
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—42no—
1536D4—42no—
1537D4—1222no—
1538D4—1221no—
1539D4—1221no—
1540D4—1221no—
1541D4—1221no—
1542D4—4881no—
1543D4—4881no—
1544D4—4881no—
1545D4—4881no—
1546D4—4881no—
1547D4—4881no—
1548D4—4881no—
1549D4—4881no—
1550D4—4881no—
1551D4—4881no—
1552D4—2441no—
1553D4—2442no—
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—41no—
1569C2×C4—41no—
1570C2×C4—42no—
1571C2×C4—42no—
1572C2×C4—42no—
1573C2×C4—81no—
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—1221no—
1590C2×C4—1221no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—2441no—
1595C2×C4—2441no—
1596C2×C4—2441no—
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—1221no—
1630C22—1221no—
1631C22—1221no—
1632C22—1221no—
1633C22—1221no—
1634C22—1221no—
1635C22—2441no—
1636C22—2441no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22C22×D4×D6111yescharacteristic
1642C4—21no—
1643C4—22no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—612no—
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#1684059811yescharacteristic
1667C2—41no—
1668C2—81no—
1669C2—81no—
1670C2—4881no—
1671C2—4881no—
1672C2—2441no—
1673C2—2441no—
1674C2#2145949111yescharacteristic
1675C2#575×D6111yescharacteristic
1676C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3111C2
socleC22×C61C23×D4
hypercenter#3111D61
hypocenterC61#62123
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #21459785C2semidirect
2. #21459445C2semidirect
3. #21458752C2semidirect
4. #21458730C2semidirect
5. #21458549C2semidirect
6. #21458527C2semidirect
7. #21458443C2semidirect
8. #21458412C2semidirect
9. #21458339C2semidirect
10. #21458327C2semidirect
11. #21458324C2semidirect
12. #21458312C2semidirect
13. #21458150C2semidirect
14. #21458139C2semidirect
15. #21457950C2semidirect
16. #21457938C2semidirect
17. #21457830C2semidirect
18. #21457818C2semidirect
19. #21457181C2semidirect
20. #21457178C2semidirect
21. #21457142C2semidirect
22. #21457011C2semidirect
23. #21457007C2semidirect
24. #21456954C2semidirect
25. #21455927C2semidirect
26. #21455836C2semidirect
27. #21455641C2semidirect
28. #21455638C2semidirect
29. #21455606C2semidirect
30. #21454938C2semidirect
31. C61×#3111C2semidirect
854. #3111D61semidirect
1041. C61#62123semidirect

Maximal subgroups

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

subgroupindex
#214597852
#214594452
#214587522
#214587302
#214585492
#214585272
#214584432
#214584122
#214583392
#214583272
#214583242
#214583122
#214581502
#214581392
#214579502
#214579382
#214578302
#214578182
#214571812
#214571782
#214571422
#214570112
#214570072
#214569542
#214559272
#214558362
#214556412
#214556382
#214556062
#214549382
C61×#31112
#6212361