Finite Group Databasebeta

← #30576073

Subgroups — #30576073

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#21459790C211yesmaximal, characteristic, complemented
2#21459442C211yesmaximal, characteristic, complemented
3#21458754C211yesmaximal, characteristic, complemented
4#21458730C211yesmaximal, characteristic, complemented
5#21458545C211yesmaximal, characteristic, complemented
6#21458521C211yesmaximal, characteristic, complemented
7#21458438C211yesmaximal, characteristic, complemented
8#21458409C211yesmaximal, characteristic, complemented
9#21458336C211yesmaximal, characteristic, complemented
10#21458332C211yesmaximal, characteristic, complemented
11#21458325C211yesmaximal, characteristic, complemented
12#21458313C211yesmaximal, characteristic, complemented
13#21458153C211yesmaximal, characteristic, complemented
14#21458139C211yesmaximal, characteristic, complemented
15#21457945C211yesmaximal, characteristic, complemented
16#21457941C211yesmaximal, characteristic, complemented
17#21457829C211yesmaximal, characteristic, complemented
18#21457177C211yesmaximal, characteristic, complemented
19#21457174C211yesmaximal, characteristic, complemented
20#21457138C211yesmaximal, characteristic, complemented
21#21457006C211yesmaximal, characteristic, complemented
22#21457004C211yesmaximal, characteristic, complemented
23#21456953C211yesmaximal, characteristic, complemented
24#21455926C211yesmaximal, characteristic, complemented
25#21455921C211yesmaximal, characteristic, complemented
26#21455830C211yesmaximal, characteristic, complemented
27#21455639C211yesmaximal, characteristic, complemented
28#21455638C211yesmaximal, characteristic, complemented
29#21455603C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3309C211yesmaximal, characteristic, complemented
32Q8×Dic122C2211yescharacteristic
33#16840489C2211yescharacteristic
34#16840477—21no—
35#16840477C2211yescharacteristic
36#16840476—21no—
37#16840476—21no—
38#16840476C2211yescharacteristic
39#16840476C2211yescharacteristic
40#16840471C2211yescharacteristic
41#16840467C2211yescharacteristic
42#16840459C2211yescharacteristic
43#16840452—21no—
44#16840452C2211yescharacteristic
45#16840451C2211yescharacteristic
46#16840449—21no—
47#16840448—21no—
48#16840432—21no—
49#16840432C2211yescharacteristic
50#16840431C2211yescharacteristic
51#16840431C2211yescharacteristic
52#16840412—21no—
53#16840412C2211yescharacteristic
54#16840369—21no—
55#16840357—21no—
56#16840355—21no—
57#16840315C2211yescharacteristic
58#16840310—21no—
59#16840310C2211yescharacteristic
60#16840307—21no—
61#16840307—21no—
62#16840307C2211yescharacteristic
63#16840307C2211yescharacteristic
64#16840294C2211yescharacteristic
65#16840293C2211yescharacteristic
66#16840293C2211yescharacteristic
67C2×#14519768C2211yescharacteristic
68#125×D61C2211yescharacteristic
69#16840241—21no—
70#41×Dic61C2211yescharacteristic
71#41×Dic61C2211yescharacteristic
72C4×#11758226C2211yescharacteristic
73C4×#11758224—21no—
74C4×#11758224C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840170C2211yescharacteristic
79#16840166C2211yescharacteristic
80#16840159C2211yescharacteristic
81#16840126C2211yescharacteristic
82#16840125C2211yescharacteristic
83#16840125C2211yescharacteristic
84#16840107C2211yescharacteristic
85#16840107C2211yescharacteristic
86#16840105C2211yescharacteristic
87#16840104C2211yescharacteristic
88#16840104C2211yescharacteristic
89#16840087C2211yescharacteristic
90#16840086C2211yescharacteristic
91#16840084C2211yescharacteristic
92#16840083C2211yescharacteristic
93#16840083C2211yescharacteristic
94#16840083C2211yescharacteristic
95#16840081C2211yescharacteristic
96#16840079C2211yescharacteristic
97#16840079C2211yescharacteristic
98#16840078C2211yescharacteristic
99#16840075C2211yescharacteristic
100#16840074C2211yescharacteristic
101#16840074C2211yescharacteristic
102#16840071C2211yescharacteristic
103#16840071C2211yescharacteristic
104#16840069C2211yescharacteristic
105#16840067C2211yescharacteristic
106#16840067C2211yescharacteristic
107#16840067C2211yescharacteristic
108#16840065C2211yescharacteristic
109#16840065C2211yescharacteristic
110#16840064C2211yescharacteristic
111#16840064C2211yescharacteristic
112#16840064C2211yescharacteristic
113#16840064C2211yescharacteristic
114#16840063C2211yescharacteristic
115#16840061C2211yescharacteristic
116#16840060C2211yescharacteristic
117#16840060C2211yescharacteristic
118#16840060C2211yescharacteristic
119#16840060C2211yescharacteristic
120#16840059C2211yescharacteristic
121#16840056C2211yescharacteristic
122#16840055C2211yescharacteristic
123#16840050C2211yescharacteristic
124#16840050C2211yescharacteristic
125#16840048C2211yescharacteristic
126#16840046C2211yescharacteristic
127#16840045C2211yescharacteristic
128#16840042C2211yescharacteristic
129#16840040C2211yescharacteristic
130#16840040C2211yescharacteristic
131#16840013C2211yescharacteristic
132#16840012C2211yescharacteristic
133#16840012C2211yescharacteristic
134#16840008C2211yescharacteristic
135#16840007C2211yescharacteristic
136#16840007C2211yescharacteristic
137#16840006C2211yescharacteristic
138#16839996C2211yescharacteristic
139#16839991C2211yescharacteristic
140#16839989C2211yescharacteristic
141#16839982C2211yescharacteristic
142#16839976C2211yescharacteristic
143#16839975C2211yescharacteristic
144#16839975C2211yescharacteristic
145#16839961C2211yescharacteristic
146#16839961C2211yescharacteristic
147#16839959C2211yescharacteristic
148#16839955C2211yescharacteristic
149#16839955C2211yescharacteristic
150#16839927C2211yescharacteristic
151#16839924C2211yescharacteristic
152#16839924C2211yescharacteristic
153#16839906C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839874C2211yescharacteristic
157#16839872C2211yescharacteristic
158#16839867C2211yescharacteristic
159#16839866C2211yescharacteristic
160#16839864C2211yescharacteristic
161#16839863C2211yescharacteristic
162#16839859C2211yescharacteristic
163#16839854C2211yescharacteristic
164#16839853C2211yescharacteristic
165SD16×Dic61C2211yescharacteristic
166D8×Dic61C2211yescharacteristic
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic
174#16839812C2211yescharacteristic
175#16839804C2211yescharacteristic
176#16839803C2211yescharacteristic
177#16839802C2211yescharacteristic
178#16839801C2211yescharacteristic
179#16839800C2211yescharacteristic
180#16839798C2211yescharacteristic
181#16839785C2211yescharacteristic
182#16839784C2211yescharacteristic
183C2×#14519706C2211yescharacteristic
184#16839763C2211yescharacteristic
185#16839762C2211yescharacteristic
186#16839762C2211yescharacteristic
187#16839758C2211yescharacteristic
188C61×#553C2211yescharacteristic
189C61×#550C2211yescharacteristic
190C61×#490C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#480C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#469C2211yescharacteristic
195C61×#466C2211yescharacteristic
196C61×#459C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#449C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#417C2211yescharacteristic
202C61×#416C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758224—21no—
205C2×#11758224—21no—
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224—21no—
209C2×#11758224D411yescharacteristic
210C2×#11758202C2311yescharacteristic
211C2×#11758190C2311yescharacteristic
212C2×#11758200C2311yescharacteristic
213C2×#11758200C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758194C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C22×#92418C2311yescharacteristic
219#14519777—21no—
220#14519777C2311yescharacteristic
221#14519776—21no—
222#14519776—21no—
223#14519776—21no—
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519773—21no—
229#14519773—21no—
230#14519773C2311yescharacteristic
231#14519773C2311yescharacteristic
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519769—21no—
239#14519769C2311yescharacteristic
240#14519768—21no—
241#14519768—21no—
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519767—21no—
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519764—21no—
254#14519764—21no—
255#14519764—21no—
256#14519764C2311yescharacteristic
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519763—21no—
262#14519763—21no—
263#14519759—21no—
264#14519759—21no—
265#14519759—21no—
266#14519758—21no—
267#14519758—21no—
268#14519758—21no—
269#14519758—21no—
270#14519758—21no—
271#14519757C2311yescharacteristic
272#14519756—21no—
273#14519756—21no—
274#14519756C2311yescharacteristic
275#14519756C2311yescharacteristic
276#14519755—21no—
277#14519754—21no—
278#14519754—21no—
279#14519754—21no—
280#14519754—21no—
281#14519754—21no—
282#14519751—21no—
283#14519751—21no—
284#14519751C2311yescharacteristic
285#14519751C2311yescharacteristic
286#14519749—21no—
287#14519749—21no—
288#14519749—21no—
289#14519749—21no—
290#14519749—21no—
291#14519749—21no—
292#14519748—21no—
293#14519748—21no—
294#14519748—21no—
295#14519748—21no—
296#14519748—21no—
297#14519748—21no—
298#14519748C2311yescharacteristic
299#14519748C2311yescharacteristic
300#14519748C2311yescharacteristic
301Q8×Dic61C2311yescharacteristic
302Q8×Dic61C2311yescharacteristic
303Q8×Dic61C2311yescharacteristic
304C4×Dic122—21no—
305C4×Dic122—21no—
306C4×Dic122—21no—
307C4×Dic122C2311yescharacteristic
308C4×Dic122C2311yescharacteristic
309#14519742—21no—
310#14519742D411yescharacteristic
311#14519742C2311yescharacteristic
312#14519742C2311yescharacteristic
313C4×D244—21no—
314C4×D244C2311yescharacteristic
315D4×Dic61—21no—
316D4×Dic61—21no—
317D4×Dic61—21no—
318D4×Dic61—21no—
319D4×Dic61—21no—
320D4×Dic61—21no—
321D4×Dic61—21no—
322D4×Dic61D411yescharacteristic
323D4×Dic61C2311yescharacteristic
324D4×Dic61C2311yescharacteristic
325D4×Dic61C2311yescharacteristic
326D4×Dic61C2311yescharacteristic
327D4×Dic61C2311yescharacteristic
328D4×Dic61C2311yescharacteristic
329#14519739—21no—
330#14519739C2311yescharacteristic
331C4×C22⋊D61—21no—
332C4×C22⋊D61—21no—
333C4×C22⋊D61—21no—
334C4×C22⋊D61—21no—
335C4×C22⋊D61C2311yescharacteristic
336C4×C22⋊D61C2311yescharacteristic
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519737D411yescharacteristic
341#14519737D411yescharacteristic
342#14519736—21no—
343#14519736—21no—
344#14519736—21no—
345#14519736C2311yescharacteristic
346#14519736C2311yescharacteristic
347#14519736C2311yescharacteristic
348#14519735—21no—
349#14519735—21no—
350#14519735D411yescharacteristic
351#14519735C2311yescharacteristic
352#14519734—21no—
353#14519733—21no—
354#14519733—21no—
355#14519733—21no—
356#14519733—21no—
357#14519733—21no—
358#14519733D411yescharacteristic
359#14519733D411yescharacteristic
360C2×C4⋊Dic61—21no—
361C2×C4⋊Dic61C2311yescharacteristic
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—
370C2×C4×Dic61C2311yescharacteristic
371C2×C4×Dic61C2311yescharacteristic
372C42×D61—21no—
373C42×D61C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C2×#41×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441C22×C8×C61C2311yescharacteristic
442#127×C61—21no—
443#127×C61C2311yescharacteristic
444#126×C61—21no—
445#125×C61C2311yescharacteristic
446#123×C61—21no—
447#121×C61—21no—
448#121×C61—21no—
449#121×C61—21no—
450#121×C61C2311yescharacteristic
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
459#117×C61C2311yescharacteristic
460C2×C4⋊C4×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#102×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478#41×C61—22no—
479#41×C61—22no—
480#41×C61—41no—
481#41×C61—41no—
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61C2×D411yescharacteristic
492C2×D4×C61C2411yescharacteristic
493C2×D4×C61C2411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C22×C4×C61C2411yescharacteristic
500C22×C4×C61C2411yescharacteristic
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61C2×D411yescharacteristic
511C2×C22⋊D61C2×D411yescharacteristic
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61C2×D411yescharacteristic
520C22×Dic61C2×D411yescharacteristic
521C22×Dic61C2×D411yescharacteristic
522C22×Dic61C2×D411yescharacteristic
523#11758226—22no—
524#11758226—41no—
525#11758224—42no—
526#11758224—44no—
527#11758224—44no—
528#11758224—82no—
529#11758224—82no—
530#11758224—82no—
531C2×D244—21no—
532C2×D244C2411yescharacteristic
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61C2×D411yescharacteristic
539C2×C4×D61C2×D411yescharacteristic
540C2×C4×D61C2411yescharacteristic
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122—21no—
546C2×Dic122C2×D411yescharacteristic
547C2×Dic122C2411yescharacteristic
548SD16×C61—22no—
549D8×C61—41no—
550D8×C61—41no—
551M16×C61—41no—
552C2×C8×C61—41no—
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C2×C8×C61C2411yescharacteristic
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61C2×D411yescharacteristic
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×C61C2×D411yescharacteristic
573C22⋊C4×C61C2×D411yescharacteristic
574C42×C61—21no—
575C42×C61—21no—
576C42×C61C2411yescharacteristic
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61C2×D411yescharacteristic
594C22⋊Dic61C2×D411yescharacteristic
595#11758202—22no—
596#11758200—41no—
597#11758200—41no—
598#11758199—41no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198C2×D411yescharacteristic
606#11758198C2×D411yescharacteristic
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61C2×D411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C4×Dic61C2411yescharacteristic
665C4×Dic61C2411yescharacteristic
666#11758194—41no—
667C2×#92418—41no—
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672#11758190—41no—
673#11758189—41no—
674#11758189—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61C22×D411yescharacteristic
679C23×C61C22×D411yescharacteristic
680C22×D61—21no—
681C22×D61C22×D411yescharacteristic
682Q8×C61—21no—
683Q8×C612−1+412yes—
684D4×C61—21no—
685D4×C61—21no—
686D4×C61—21no—
687D4×C61—21no—
688D4×C61—21no—
689D4×C61—21no—
690D4×C61—41no—
691D4×C61—42no—
692D4×C61—42no—
693D4×C61—42no—
694D4×C61—42no—
695D4×C61—81no—
696D4×C61—81no—
697D4×C61—81no—
698D4×C61—81no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—42no—
709C2×C4×C61—42no—
710C2×C4×C61—81no—
711C2×C4×C61—81no—
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C2511yescharacteristic
717C22⋊D61—22no—
718C22⋊D61—41no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—42no—
722C22⋊D61—81no—
723C22⋊D61—81no—
724C22⋊D61—81no—
725C22⋊D61—81no—
726C22⋊D61—81no—
727C22⋊D61—81no—
728C2×Dic61—22no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—41no—
737C2×Dic61—41no—
738C2×Dic61—41no—
739C2×Dic61—42no—
740C2×Dic61—42no—
741C2×Dic61—42no—
742C2×Dic61—42no—
743C2×Dic61—42no—
744C2×Dic61—42no—
745C2×Dic61—81no—
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752C2×Dic61C22×D411yescharacteristic
753D244—21no—
754D244—21no—
755D244—42no—
756C4×D61—21no—
757C4×D61—21no—
758C4×D61—41no—
759C4×D61—41no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—42no—
763C4×D61—42no—
764C4×D61—81no—
765Dic122—22no—
766Dic122—21no—
767Dic122—21no—
768Dic122—42no—
769Dic122—81no—
770Dic122—81no—
771Dic122—81no—
772Dic122—81no—
773C8×C61—21no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62123—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—21no—
786C22×C61—21no—
787C22×C61—21no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61C23×D411yescharacteristic
798C2×D61—21no—
799C2×D61—21no—
800C2×D61—21no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C4×C61—21no—
805C4×C61—22no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—41no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61C2×2−1+411yescharacteristic
814C4×C61#58511yescharacteristic
815Dic61—21no—
816Dic61—21no—
817Dic61—21no—
818Dic61—21no—
819Dic61—21no—
820Dic61—21no—
821Dic61—41no—
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#3309D6111yescharacteristic, complemented
847#3251—611no—
848#3251—611no—
849#3247—611no—
850#3234—611no—
851#3234—611no—
852#3228—611no—
853#3111—611no—
854#3111—611no—
855#3102—611no—
856#3080—611no—
857#3080—611no—
858#3076—611no—
859#2989—611no—
860C2×C61—41no—
861C2×C61—41no—
862C2×C61—81no—
863C2×C61—81no—
864C2×C61—81no—
865C2×C61#348911yescharacteristic
866C2×C61C2×#57511yescharacteristic
867C2×C61#358511yescharacteristic
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#553C2×D6111yescharacteristic
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—1221no—
891#550C2×D6111yescharacteristic
892#547—611no—
893#547—1221no—
894#541—1221no—
895#539—1221no—
896#539—1221no—
897#533—611no—
898#532—611no—
899#532—611no—
900#532—611no—
901#532—1221no—
902#532—1221no—
903#532—1221no—
904#529—611no—
905#529—611no—
906#529—611no—
907C2×#125—611no—
908C2×#125—611no—
909#520—1221no—
910C4×#41—611no—
911C4×#41—611no—
912C4×#41—611no—
913C4×#41—611no—
914C4×#41—1221no—
915#501—611no—
916#501—611no—
917#501—611no—
918#501—611no—
919#500—611no—
920#498—611no—
921#490—611no—
922#490—611no—
923#490—611no—
924#490C2×D6111yescharacteristic
925#486—611no—
926#486—611no—
927#485—611no—
928#485—611no—
929#485—611no—
930#482—611no—
931#482—611no—
932#482—611no—
933#482—611no—
934#482—611no—
935#482—611no—
936#482C2×D6111yescharacteristic
937#481—611no—
938#481—611no—
939#481—611no—
940#481—611no—
941#480—611no—
942#480—611no—
943#480—611no—
944#480C2×D6111yescharacteristic
945#479—611no—
946#479—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479C2×D6111yescharacteristic
952#478—611no—
953#478—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478—611no—
962#478—611no—
963#478—611no—
964#478—611no—
965#477—611no—
966#477—611no—
967#476—611no—
968#476—611no—
969#475—611no—
970#475—611no—
971#475—611no—
972#474—611no—
973#474—611no—
974#474—611no—
975#469—611no—
976#469—611no—
977#469—611no—
978#469C2×D6111yescharacteristic
979#468—611no—
980#468—611no—
981#468—611no—
982#468—611no—
983#466—611no—
984#466C2×D6111yescharacteristic
985#465—611no—
986#465—611no—
987#464—611no—
988#463—611no—
989#463—611no—
990#463—611no—
991#460—611no—
992#460—611no—
993#460—611no—
994#459—611no—
995#459—611no—
996#459C2×D6111yescharacteristic
997#452—611no—
998#452—611no—
999#452—611no—
1000#449—611no—
1001#449C2×D6111yescharacteristic
1002#449C2×D6111yescharacteristic
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#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#435C2×D6111yescharacteristic
1023#432—611no—
1024#432—611no—
1025#431—611no—
1026#428—611no—
1027#428—611no—
1028#428—611no—
1029#428—611no—
1030#427—611no—
1031#427—611no—
1032#423—611no—
1033#423—611no—
1034C2×C4⋊C8—611no—
1035#417—611no—
1036#417—611no—
1037#417—611no—
1038#417C2×D6111yescharacteristic
1039#416—611no—
1040#416C2×D6111yescharacteristic
1041C61#6212311yescharacteristic, complemented, Sylow
1042C2×#41—611no—
1043C2×#41—611no—
1044C2×#41—1221no—
1045C2×#41—1221no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C2×#41—1221no—
1049C2×#41C22×D6111yescharacteristic
1050C2×#41C22×D6111yescharacteristic
1051C2×Q16—611no—
1052C2×SD16—611no—
1053C2×SD16—611no—
1054C2×SD16—611no—
1055C2×SD16C22×D6111yescharacteristic
1056C2×D8—611no—
1057C2×D8C22×D6111yescharacteristic
1058C2×D8C22×D6111yescharacteristic
1059C2×M16—611no—
1060C2×M16—611no—
1061C2×M16—611no—
1062C2×M16C22×D6111yescharacteristic
1063C22×C8—611no—
1064C22×C8C22×D6111yescharacteristic
1065C4⋊Q8—611no—
1066C4⋊Q8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—1221no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8—1221no—
1074#127—21no—
1075#127—611no—
1076#127—611no—
1077#127—1221no—
1078#127—1221no—
1079#127C22×D6111yescharacteristic
1080#126—21no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#126—1221no—
1087#125—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—611no—
1104#124—1221no—
1105#124—1221no—
1106#124—1221no—
1107#124—1221no—
1108#124—1221no—
1109#124—1221no—
1110#124—1221no—
1111#124—1221no—
1112#124—1221no—
1113#123—21no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122C22⋊Q8—611no—
1123C22⋊Q8—611no—
1124C22⋊Q8—611no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133#121—21no—
1134#121—21no—
1135#121—21no—
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#121C22×D6111yescharacteristic
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—611no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4C22×D6111yescharacteristic
1204C4×D4C22×D6111yescharacteristic
1205#117—611no—
1206#117—611no—
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222#117—1221no—
1223#117C22×D6111yescharacteristic
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C4⋊C4C22×D6111yescharacteristic
1233C2×C42—611no—
1234C2×C42—611no—
1235C2×C42—611no—
1236C2×C42—1221no—
1237C2×C42—1221no—
1238C2×C42—1221no—
1239#107—611no—
1240#107—611no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#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#106—611no—
1262#106C22×D6111yescharacteristic
1263C4⋊C8—611no—
1264C4⋊C8—611no—
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8C22×D6111yescharacteristic
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
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#102C22×D6111yescharacteristic
1299#102C22×D6111yescharacteristic
1300#102C22×D6111yescharacteristic
1301#102C22×D6111yescharacteristic
1302#102C22×D6111yescharacteristic
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305C22⋊C8—611no—
1306C22⋊C8—611no—
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8C22×D6111yescharacteristic
1310C22⋊C8C22×D6111yescharacteristic
1311#97—611no—
1312#97—611no—
1313#97—611no—
1314#97C22×D6111yescharacteristic
1315C4×C8—611no—
1316C4×C8—611no—
1317#41—22no—
1318#41—22no—
1319#41—41no—
1320#41—41no—
1321#41—1222no—
1322#41—4882no—
1323#41—4882no—
1324#41—4882no—
1325#41—2442no—
1326#41—2441no—
1327#41—2444no—
1328#41—2444no—
1329C2×Q8—611no—
1330C2×Q8—611no—
1331C2×Q8—1221no—
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—21no—
1343C2×D4—21no—
1344C2×D4—21no—
1345C2×D4—611no—
1346C2×D4—611no—
1347C2×D4—611no—
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×D4D4×D6111yescharacteristic
1359C2×D4C23×D6111yescharacteristic
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—611no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4C23×D6111yescharacteristic
1386C22×C4C23×D6111yescharacteristic
1387Q16—1222no—
1388SD16—22no—
1389SD16—2441no—
1390SD16—2441no—
1391SD16—2441no—
1392D8—41no—
1393D8—41no—
1394D8—2441no—
1395M16—41no—
1396M16—2441no—
1397M16—2441no—
1398M16—2441no—
1399C2×C8—41no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—611no—
1403C2×C8—611no—
1404C2×C8—2441no—
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C2×C8C23×D6111yescharacteristic
1408C2×C8C23×D6111yescharacteristic
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—611no—
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—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4D4×D6111yescharacteristic
1454C4⋊C4C23×D6111yescharacteristic
1455C4⋊C4C23×D6111yescharacteristic
1456C4⋊C4C23×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—611no—
1465C22⋊C4—611no—
1466C22⋊C4—611no—
1467C22⋊C4—611no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4D4×D6111yescharacteristic
1491C22⋊C4D4×D6111yescharacteristic
1492C42—21no—
1493C42—21no—
1494C42—611no—
1495C42—611no—
1496C42—611no—
1497C42—611no—
1498C42—611no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42C23×D6111yescharacteristic
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—611no—
1518C23—1221no—
1519C23C2×D4×D6111yescharacteristic
1520C23C2×D4×D6111yescharacteristic
1521Q8—21no—
1522Q8—1222no—
1523Q8—1221no—
1524Q8—1221no—
1525Q8—4881no—
1526Q8—4881no—
1527Q8—4881no—
1528Q8—4881no—
1529Q8—2442no—
1530Q8#1451982412yes—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—21no—
1536D4—21no—
1537D4—41no—
1538D4—42no—
1539D4—42no—
1540D4—42no—
1541D4—42no—
1542D4—81no—
1543D4—81no—
1544D4—81no—
1545D4—81no—
1546D4—1222no—
1547D4—1221no—
1548D4—1221no—
1549D4—4881no—
1550D4—4881no—
1551D4—4881no—
1552D4—4881no—
1553D4—4881no—
1554D4—4881no—
1555D4—2442no—
1556D4—2442no—
1557D4—2441no—
1558D4—2442no—
1559D4—2442no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—42no—
1570C2×C4—42no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—611no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—1222no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—4881no—
1591C2×C4—4881no—
1592C2×C4—2441no—
1593C2×C4—2441no—
1594C2×C4—2442no—
1595C2×C4—2442no—
1596C2×C4—2442no—
1597C2×C4—2442no—
1598C2×C4—2442no—
1599C2×C4—2442no—
1600C2×C4—2441no—
1601C2×C4—2441no—
1602C2×C4—2441no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4—2442no—
1607C2×C4C2×D4×D6111yescharacteristic
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C24×D6111yescharacteristic
1612C8—21no—
1613C8—21no—
1614C8—21no—
1615C8—21no—
1616C8—1221no—
1617C8—1221no—
1618C8—1221no—
1619C8—1221no—
1620C22—21no—
1621C22—21no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—1221no—
1636C22—1221no—
1637C22—1221no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22C22×D4×D6111yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—22no—
1645C4—21no—
1646C4—21no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—612no—
1652C4—1221no—
1653C4—1221no—
1654C4—1221no—
1655C4—1221no—
1656C4—1221no—
1657C4—1221no—
1658C4—2441no—
1659C4—2441no—
1660C4—2441no—
1661C4—2441no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4C2×#1451982411yescharacteristic
1666C4#1684059711yescharacteristic
1667C2—41no—
1668C2—41no—
1669C2—81no—
1670C2—81no—
1671C2—81no—
1672C2—4881no—
1673C2—2441no—
1674C2#2145949011yescharacteristic
1675C2#575×D6111yescharacteristic
1676C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3309C2
socleC22×C61C23×D4
hypercenter#3309D61
hypocenterC61#62123
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3309

Complements

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

NH ≅ G/Ntype
1. #21459790C2semidirect
2. #21459442C2semidirect
3. #21458754C2semidirect
4. #21458730C2semidirect
5. #21458545C2semidirect
6. #21458521C2semidirect
7. #21458438C2semidirect
8. #21458409C2semidirect
9. #21458336C2semidirect
10. #21458332C2semidirect
11. #21458325C2semidirect
12. #21458313C2semidirect
13. #21458153C2semidirect
14. #21458139C2semidirect
15. #21457945C2semidirect
16. #21457941C2semidirect
17. #21457829C2semidirect
18. #21457177C2semidirect
19. #21457174C2semidirect
20. #21457138C2semidirect
21. #21457006C2semidirect
22. #21457004C2semidirect
23. #21456953C2semidirect
24. #21455926C2semidirect
25. #21455921C2semidirect
26. #21455830C2semidirect
27. #21455639C2semidirect
28. #21455638C2semidirect
29. #21455603C2semidirect
30. #21454931C2semidirect
31. C61×#3309C2semidirect
846. #3309D61semidirect
1041. C61#62123semidirect

Maximal subgroups

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

subgroupindex
#214597902
#214594422
#214587542
#214587302
#214585452
#214585212
#214584382
#214584092
#214583362
#214583322
#214583252
#214583132
#214581532
#214581392
#214579452
#214579412
#214578292
#214571772
#214571742
#214571382
#214570062
#214570042
#214569532
#214559262
#214559212
#214558302
#214556392
#214556382
#214556032
#214549312
C61×#33092
#6212361