Finite Group Databasebeta

← #30570805

Subgroups — #30570805

Order 15616.

1756 conjugacy classes of subgroups.

The subgroup lattice has 1660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460213C211yesmaximal, characteristic, complemented
2#21459634C211yesmaximal, characteristic, complemented
3#21458726C211yesmaximal, characteristic, complemented
4#21458724C211yesmaximal, characteristic, complemented
5#21458715C211yesmaximal, characteristic, complemented
6#21458713C211yesmaximal, characteristic, complemented
7#21458691C211yesmaximal, characteristic, complemented
8#21458689C211yesmaximal, characteristic, complemented
9#21458683C211yesmaximal, characteristic, complemented
10#21458681C211yesmaximal, characteristic, complemented
11#21458551C211yesmaximal, characteristic, complemented
12#21458545C211yesmaximal, characteristic, complemented
13#21458529C211yesmaximal, characteristic, complemented
14#21458523C211yesmaximal, characteristic, complemented
15#21458489C211yesmaximal, characteristic, complemented
16#21458487C211yesmaximal, characteristic, complemented
17#21458453C211yesmaximal, characteristic, complemented
18#21458451C211yesmaximal, characteristic, complemented
19#21457078C211yesmaximal, characteristic, complemented
20#21457072C211yesmaximal, characteristic, complemented
21#21457070C211yesmaximal, characteristic, complemented
22#21456945C211yesmaximal, characteristic, complemented
23#21456938C211yesmaximal, characteristic, complemented
24#21456021C211yesmaximal, characteristic, complemented
25#21456020C211yesmaximal, characteristic, complemented
26#21456013C211yesmaximal, characteristic, complemented
27#21456012C211yesmaximal, characteristic, complemented
28#21455874C211yesmaximal, characteristic, complemented
29#21455874C211yesmaximal, characteristic, complemented
30#21454918C211yesmaximal, characteristic, complemented
31C61×#3241C211yesmaximal, characteristic, complemented
32#16840509—21no—
33#16840509—21no—
34#16840492C2211yescharacteristic
35#16840492C2211yescharacteristic
36#16840489C2211yescharacteristic
37#16840489C2211yescharacteristic
38#16840471C2211yescharacteristic
39#16840471C2211yescharacteristic
40#16840468C2211yescharacteristic
41#16840468C2211yescharacteristic
42#16840468C2211yescharacteristic
43#16840468C2211yescharacteristic
44#16840466—21no—
45#16840466—21no—
46#16840433C2211yescharacteristic
47#16840433C2211yescharacteristic
48#16840432C2211yescharacteristic
49#16840432C2211yescharacteristic
50#16840427C2211yescharacteristic
51#16840427C2211yescharacteristic
52#16840425—21no—
53#16840425—21no—
54#16840410—21no—
55#16840410—21no—
56#16840392—21no—
57#16840390C2211yescharacteristic
58#16840389—21no—
59#16840367C2211yescharacteristic
60#16840365C2211yescharacteristic
61#16840365C2211yescharacteristic
62#16840341—21no—
63#16840341—21no—
64#16840339—21no—
65#16840339—21no—
66#16840318—21no—
67#16840315C2211yescharacteristic
68#16840307C2211yescharacteristic
69#16840307C2211yescharacteristic
70C2×#14519776C2211yescharacteristic
71C4⋊Q8×D61—21no—
72#16840243C2211yescharacteristic
73#16840242C2211yescharacteristic
74#16840230C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840169C2211yescharacteristic
77#16840168C2211yescharacteristic
78#16840166C2211yescharacteristic
79#16840166C2211yescharacteristic
80#16840163C2211yescharacteristic
81#16840162C2211yescharacteristic
82#16840161C2211yescharacteristic
83#16840159C2211yescharacteristic
84#16840159C2211yescharacteristic
85#16840128C2211yescharacteristic
86#16840125C2211yescharacteristic
87#16840125C2211yescharacteristic
88#16840110C2211yescharacteristic
89#16840107C2211yescharacteristic
90#16840107C2211yescharacteristic
91#16840107C2211yescharacteristic
92#16840107C2211yescharacteristic
93#16840107C2211yescharacteristic
94#16840107C2211yescharacteristic
95#16840086C2211yescharacteristic
96#16840086C2211yescharacteristic
97#16840081C2211yescharacteristic
98#16840080C2211yescharacteristic
99#16840078C2211yescharacteristic
100#16840076C2211yescharacteristic
101#16840075C2211yescharacteristic
102#16840073C2211yescharacteristic
103#16840072C2211yescharacteristic
104#16840070C2211yescharacteristic
105#16840068C2211yescharacteristic
106#16840066C2211yescharacteristic
107#16840065C2211yescharacteristic
108#16840065C2211yescharacteristic
109#16840064C2211yescharacteristic
110#16840063C2211yescharacteristic
111#16840061C2211yescharacteristic
112#16840061C2211yescharacteristic
113#16840060C2211yescharacteristic
114#16840059C2211yescharacteristic
115#16840059C2211yescharacteristic
116#16840059C2211yescharacteristic
117#16840056C2211yescharacteristic
118#16840056C2211yescharacteristic
119#16840051C2211yescharacteristic
120#16840051C2211yescharacteristic
121#16840051C2211yescharacteristic
122#16840051C2211yescharacteristic
123#16840051C2211yescharacteristic
124#16840050C2211yescharacteristic
125#16840050C2211yescharacteristic
126#16840050C2211yescharacteristic
127#16840049C2211yescharacteristic
128#16840041C2211yescharacteristic
129#16840041C2211yescharacteristic
130#16840041C2211yescharacteristic
131#16840040C2211yescharacteristic
132#16840040C2211yescharacteristic
133#16840040C2211yescharacteristic
134#16840039C2211yescharacteristic
135#16839963C2211yescharacteristic
136#16839961C2211yescharacteristic
137#16839961C2211yescharacteristic
138#16839961C2211yescharacteristic
139#16839961C2211yescharacteristic
140#16839959C2211yescharacteristic
141#16839958C2211yescharacteristic
142#16839956C2211yescharacteristic
143#16839956C2211yescharacteristic
144#16839956C2211yescharacteristic
145#16839956C2211yescharacteristic
146#16839954C2211yescharacteristic
147#16839909C2211yescharacteristic
148#16839909C2211yescharacteristic
149#16839905C2211yescharacteristic
150#16839905C2211yescharacteristic
151#16839891C2211yescharacteristic
152#16839891C2211yescharacteristic
153#16839890C2211yescharacteristic
154#16839890C2211yescharacteristic
155C8×Dic122C2211yescharacteristic
156C8×Dic122C2211yescharacteristic
157#16839886C2211yescharacteristic
158#16839886C2211yescharacteristic
159#16839875C2211yescharacteristic
160#16839873C2211yescharacteristic
161#16839872C2211yescharacteristic
162#16839871C2211yescharacteristic
163#16839864C2211yescharacteristic
164#16839862C2211yescharacteristic
165#16839861C2211yescharacteristic
166#16839859C2211yescharacteristic
167#16839853C2211yescharacteristic
168#16839853C2211yescharacteristic
169#16839853C2211yescharacteristic
170C4×#11758190C2211yescharacteristic
171#16839849C2211yescharacteristic
172#16839849C2211yescharacteristic
173#16839849C2211yescharacteristic
174C4×#11758200C2211yescharacteristic
175C4×D488C2211yescharacteristic
176#16839844C2211yescharacteristic
177#16839844C2211yescharacteristic
178#16839844C2211yescharacteristic
179C4×#11758199C2211yescharacteristic
180#16839842C2211yescharacteristic
181#16839842C2211yescharacteristic
182#16839842C2211yescharacteristic
183#16839823C2211yescharacteristic
184#16839820C2211yescharacteristic
185#16839820C2211yescharacteristic
186#16839812C2211yescharacteristic
187#16839812C2211yescharacteristic
188C61×#544C2211yescharacteristic
189C61×#540C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#499C2211yescharacteristic
192C61×#490C2211yescharacteristic
193C61×#486C2211yescharacteristic
194C61×#482C2211yescharacteristic
195C61×#482C2211yescharacteristic
196C61×#481C2211yescharacteristic
197C61×#480C2211yescharacteristic
198C61×#478C2211yescharacteristic
199C61×#478C2211yescharacteristic
200C61×#476C2211yescharacteristic
201C61×#474C2211yescharacteristic
202C61×#433C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224—21no—
209C2×#11758224—21no—
210C22×Dic122—21no—
211C2×Q8×D61—21no—
212C2×Q8×D61—21no—
213C2×#11758190C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758200C2311yescharacteristic
217C2×D488C2311yescharacteristic
218C2×D488C2311yescharacteristic
219C2×#11758199C2311yescharacteristic
220C2×#11758199C2311yescharacteristic
221#14519777—21no—
222#14519776—21no—
223#14519776—21no—
224#14519776—21no—
225#14519776—21no—
226#14519776—21no—
227#14519776—21no—
228#14519776D411yescharacteristic
229#14519776D411yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519776C2311yescharacteristic
233#14519776C2311yescharacteristic
234#14519776C2311yescharacteristic
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519775—21no—
239#14519775—21no—
240#14519775—21no—
241#14519775—21no—
242#14519774C2311yescharacteristic
243#14519773C2311yescharacteristic
244#14519773C2311yescharacteristic
245#14519773C2311yescharacteristic
246#14519773C2311yescharacteristic
247#14519769—21no—
248#14519769C2311yescharacteristic
249#14519768D411yescharacteristic
250#14519768D411yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519768C2311yescharacteristic
254#14519768C2311yescharacteristic
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519763—21no—
260#14519763—21no—
261#14519762—21no—
262#14519762—21no—
263#14519761—21no—
264#14519761—21no—
265#14519759—21no—
266#14519759—21no—
267#14519757—21no—
268#14519757—21no—
269#14519757—21no—
270#14519757—21no—
271#14519756—21no—
272#14519756—21no—
273#14519755—21no—
274#14519755—21no—
275#14519755—21no—
276#14519755—21no—
277#14519755—21no—
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519755—21no—
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519754—21no—
286#14519754—21no—
287#14519754—21no—
288#14519754—21no—
289#14519754—21no—
290#14519754—21no—
291#14519754D411yescharacteristic
292#14519754D411yescharacteristic
293#14519754D411yescharacteristic
294#14519754D411yescharacteristic
295#14519753—21no—
296#14519753—21no—
297#14519751—21no—
298#14519751—21no—
299#14519751C2311yescharacteristic
300#14519751C2311yescharacteristic
301#14519750—21no—
302#14519750—21no—
303#14519750—21no—
304#14519750—21no—
305#14519750—21no—
306#14519750—21no—
307#14519749—21no—
308#14519749—21no—
309#14519749—21no—
310#14519749—21no—
311#14519749—21no—
312#14519749—21no—
313#14519749—21no—
314#14519749—21no—
315#14519748—21no—
316#14519748—21no—
317#14519748—21no—
318#14519748—21no—
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325#14519742—21no—
326#14519742—21no—
327#14519742—21no—
328#14519742—21no—
329#14519742C2311yescharacteristic
330#14519742C2311yescharacteristic
331#14519742C2311yescharacteristic
332#14519742C2311yescharacteristic
333C4×D244C2311yescharacteristic
334C4×D244C2311yescharacteristic
335C4×D244C2311yescharacteristic
336C4×D244C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341#14519739C2311yescharacteristic
342#14519739C2311yescharacteristic
343#14519739C2311yescharacteristic
344#14519739C2311yescharacteristic
345#14519739C2311yescharacteristic
346#14519739C2311yescharacteristic
347#14519739C2311yescharacteristic
348#14519739C2311yescharacteristic
349C4×C22⋊D61—21no—
350C4×C22⋊D61—21no—
351#14519737—21no—
352#14519737—21no—
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519736C2311yescharacteristic
358#14519735—21no—
359#14519735—21no—
360#14519734—21no—
361C2×C4⋊Dic61C2311yescharacteristic
362C2×#11758196—21no—
363C2×#11758196—21no—
364C2×#11758196—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C2×C4×Dic61C2311yescharacteristic
372C42×D61—21no—
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519708C2311yescharacteristic
384#14519708C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389C4⋊#92418C2311yescharacteristic
390C4⋊#92418C2311yescharacteristic
391#14519706C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519700C2311yescharacteristic
402#14519700C2311yescharacteristic
403#14519699C2311yescharacteristic
404#14519699C2311yescharacteristic
405#14519699C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519698C2311yescharacteristic
410#14519698C2311yescharacteristic
411#14519698C2311yescharacteristic
412#14519698C2311yescharacteristic
413#14519697C2311yescharacteristic
414#14519697C2311yescharacteristic
415#14519697C2311yescharacteristic
416#14519697C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519688C2311yescharacteristic
426#14519687C2311yescharacteristic
427#14519687C2311yescharacteristic
428C4×#92418C2311yescharacteristic
429C8×Dic61C2311yescharacteristic
430C8×Dic61C2311yescharacteristic
431C8×Dic61C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C4⋊Q8×C61—21no—
436C4⋊Q8×C61C2311yescharacteristic
437C4⋊Q8×C61C2311yescharacteristic
438#127×C61C2311yescharacteristic
439#125×C61—21no—
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443#123×C61—21no—
444#123×C61—21no—
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447#121×C61—21no—
448#121×C61—21no—
449#121×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453#117×C61C2311yescharacteristic
454#117×C61C2311yescharacteristic
455C2×C4⋊C4×C61C2311yescharacteristic
456#107×C61C2311yescharacteristic
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#106×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#102×C61C2311yescharacteristic
467#102×C61C2311yescharacteristic
468#102×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61—21no—
480C2×D4×C61—21no—
481C2×D4×C61—21no—
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×C61C2411yescharacteristic
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
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—
501C22×Dic61—21no—
502C22×Dic61—21no—
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61C2×D411yescharacteristic
507C22×Dic61C2×D411yescharacteristic
508Q8×D61—82no—
509Q8×D61—82no—
510#11758224—82no—
511#11758224—82no—
512#11758224—82no—
513#11758224—82no—
514#11758222—22no—
515#11758222—22no—
516#11758222—82no—
517#11758222—82no—
518C2×D244—21no—
519C2×D244—21no—
520C2×D244C2411yescharacteristic
521C2×D244C2411yescharacteristic
522C2×D244C2411yescharacteristic
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
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×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—82no—
545C2×Dic122C2×D411yescharacteristic
546C2×Dic122C2×D411yescharacteristic
547C2×Dic122C2×D411yescharacteristic
548C2×Dic122C2×D411yescharacteristic
549C2×Dic122C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
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×C61—21no—
563C4⋊C4×C61C2×D411yescharacteristic
564C4⋊C4×C61C2×D411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61C2×D411yescharacteristic
577C22⋊C4×C61C2×D411yescharacteristic
578C42×C61—21no—
579C42×C61C2411yescharacteristic
580C42×C61C2411yescharacteristic
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61C2×D411yescharacteristic
586C22⋊Dic61C2×D411yescharacteristic
587#11758200—22no—
588#11758200—22no—
589#11758199—22no—
590#11758199—22no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
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—
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61C2×D411yescharacteristic
611C4⋊Dic61C2×D411yescharacteristic
612C4⋊Dic61C2×D411yescharacteristic
613C4⋊Dic61C2×D411yescharacteristic
614C4⋊Dic61C2×D411yescharacteristic
615C4⋊Dic61C2×D411yescharacteristic
616C4⋊Dic61C2411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2411yescharacteristic
657C4×Dic61C2411yescharacteristic
658C4×Dic61C2411yescharacteristic
659C4×Dic61C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664D488—22no—
665D488—22no—
666#11758190—22no—
667#11758190—22no—
668C23×C61—21no—
669C23×C61—21no—
670C23×C61C22×D411yescharacteristic
671C22×D61—21no—
672C22×D61—21no—
673C22×D61—21no—
674Q8×C61—81no—
675Q8×C61—81no—
676D4×C61—21no—
677D4×C61—21no—
678D4×C61—21no—
679D4×C61—21no—
680D4×C61—81no—
681D4×C61—81no—
682D4×C61—81no—
683D4×C61—81no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—81no—
693C2×C4×C61—81no—
694C2×C4×C61—81no—
695C2×C4×C61C22×D411yescharacteristic
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C2511yescharacteristic
701C22⋊D61—24no—
702C22⋊D61—42no—
703C22⋊D61—42no—
704C22⋊D61—81no—
705C22⋊D61—81no—
706C22⋊D61—81no—
707C22⋊D61—81no—
708C22⋊D61—81no—
709C22⋊D61—81no—
710C22⋊D61—81no—
711C22⋊D61—81no—
712C2×Dic61—21no—
713C2×Dic61—22no—
714C2×Dic61—22no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—42no—
720C2×Dic61—42no—
721C2×Dic61—81no—
722C2×Dic61—81no—
723C2×Dic61—81no—
724C2×Dic61C22×D411yescharacteristic
725C2×Dic61C22×D411yescharacteristic
726C2×Dic61C22×D411yescharacteristic
727C2×Dic61C22×D411yescharacteristic
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732D244—21no—
733D244—21no—
734D244—21no—
735D244—21no—
736D244—21no—
737D244—81no—
738D244—81no—
739D2442−1+412yes—
740C4×D61—24no—
741C4×D61—42no—
742C4×D61—42no—
743C4×D61—42no—
744C4×D61—42no—
745C4×D61—81no—
746C4×D61—81no—
747C4×D61—81no—
748C4×D61—81no—
749C4×D61—81no—
750C4×D61—81no—
751C4×D61—81no—
752C4×D61—81no—
753Dic122—21no—
754Dic122—22no—
755Dic122—22no—
756Dic122—22no—
757Dic122—22no—
758Dic122—42no—
759Dic122—42no—
760Dic122—81no—
761Dic122—81no—
762Dic122—81no—
763Dic122—81no—
764Dic122—81no—
765Dic122—81no—
766Dic1222−1+412yes—
767C8×C61—21no—
768C8×C61—21no—
769C8×C61—21no—
770C8×C61—21no—
771#92418—21no—
772#92418—21no—
773#92418—21no—
774#92418—21no—
775#61868—611nomaximal, Sylow
776C22×C61—21no—
777C22×C61—21no—
778C22×C61—21no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61C23×D411yescharacteristic
786C2×D61—22no—
787C2×D61—41no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C4×C61—21no—
796C4×C61—21no—
797C4×C61—21no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—41no—
801C4×C61—41no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61C2×2−1+411yescharacteristic
807C4×C61C2×2−1+411yescharacteristic
808Dic61—22no—
809Dic61—21no—
810Dic61—21no—
811Dic61—21no—
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—41no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61#57612yes—
820Dic61#57712yes—
821#3548—611no—
822#3503—611no—
823#3385—611no—
824#3385—611no—
825#3384—611no—
826#3384—611no—
827#3381—611no—
828#3381—611no—
829#3380—611no—
830#3380—611no—
831#3368—611no—
832#3368—611no—
833#3366—611no—
834#3366—611no—
835#3362—611no—
836#3362—611no—
837#3358—611no—
838#3358—611no—
839#3241—611no—
840#3241—611no—
841#3241—611no—
842#3241D6111yescharacteristic, complemented
843#3227—611no—
844#3226—611no—
845#3119—611no—
846#3119—611no—
847#3119—611no—
848#3119—611no—
849#3106—611no—
850#3106—611no—
851#2986—611no—
852C2×C61—41no—
853C2×C61—81no—
854C2×C61—81no—
855C2×C61#348611yescharacteristic
856C2×C61C2×#57611yescharacteristic
857C2×C61C2×#57711yescharacteristic
858D61—42no—
859D61—81no—
860D61—81no—
861#562—1221no—
862#562—1221no—
863Q82—611no—
864Q82—611no—
865#557—611no—
866#557—611no—
867#554—611no—
868#554—611no—
869#554—611no—
870#554—611no—
871#554—611no—
872#554—611no—
873#554—1221no—
874#554—1221no—
875#550—611no—
876#550—611no—
877#550—611no—
878#550—611no—
879D4×Q8—611no—
880D4×Q8—611no—
881D4×Q8—1221no—
882D4×Q8—1221no—
883#547—1221no—
884#547—1221no—
885#544—611no—
886#544—1221no—
887#544—1221no—
888#544C2×D6111yescharacteristic
889#540—611no—
890#540—611no—
891#540—611no—
892#540C2×D6111yescharacteristic
893#537—1221no—
894#537—1221no—
895#537—1221no—
896#537—1221no—
897#533—611no—
898#533—1221no—
899#532—611no—
900#532—611no—
901C2×C4⋊Q8—611no—
902C2×C4⋊Q8—1221no—
903#520—611no—
904#520—611no—
905C4×#41—611no—
906#501—611no—
907#501—611no—
908#501—611no—
909#501C2×D6111yescharacteristic
910#500—611no—
911#500—611no—
912#499—611no—
913#499—611no—
914#499—611no—
915#499C2×D6111yescharacteristic
916#498—611no—
917#498—611no—
918#490—611no—
919#490—611no—
920#490—611no—
921#490C2×D6111yescharacteristic
922#486—611no—
923#486—611no—
924#486—611no—
925#486—611no—
926#486—611no—
927#486—611no—
928#486—611no—
929#486C2×D6111yescharacteristic
930#482—611no—
931#482—611no—
932#482C2×D6111yescharacteristic
933#482C2×D6111yescharacteristic
934#481—611no—
935#481—611no—
936#481—611no—
937#481C2×D6111yescharacteristic
938#480—611no—
939#480—611no—
940#480—611no—
941#480C2×D6111yescharacteristic
942#479—611no—
943#479—611no—
944#479—611no—
945#479—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478—611no—
953#478—611no—
954#478—611no—
955#478—611no—
956#478C2×D6111yescharacteristic
957#478C2×D6111yescharacteristic
958#477—611no—
959#477—611no—
960#476—611no—
961#476—611no—
962#476—611no—
963#476—611no—
964#476—611no—
965#476—611no—
966#476—611no—
967#476—611no—
968#476—611no—
969#476C2×D6111yescharacteristic
970#474—611no—
971#474—611no—
972#474—611no—
973#474—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#474C2×D6111yescharacteristic
978#460—611no—
979#460—611no—
980#460—611no—
981#460—611no—
982#460—611no—
983#460—611no—
984#459—611no—
985#459—611no—
986#459—611no—
987#459—611no—
988#459—611no—
989#459—611no—
990#449—611no—
991#449—611no—
992#449—611no—
993#449—611no—
994#446—611no—
995#446—611no—
996#446—611no—
997#446—611no—
998C8×Q8—611no—
999C8×Q8—611no—
1000C8×Q8—611no—
1001C8×Q8—611no—
1002#442—611no—
1003#442—611no—
1004#442—611no—
1005#442—611no—
1006#440—611no—
1007#440—611no—
1008#440—611no—
1009#440—611no—
1010C4×SD16—611no—
1011C4×SD16—611no—
1012C4×SD16—611no—
1013C4×SD16—611no—
1014C4×SD16—611no—
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×SD16—611no—
1018C4×D8—611no—
1019C4×D8—611no—
1020C4×D8—611no—
1021C4×D8—611no—
1022C4×D8—611no—
1023C4×D8—611no—
1024C4×D8—611no—
1025C4×D8—611no—
1026#433—611no—
1027#433—611no—
1028#433—611no—
1029#433C2×D6111yescharacteristic
1030#431—611no—
1031#431—611no—
1032C61#6186811yescharacteristic, complemented, Sylow
1033C2×#41—611no—
1034C2×#41—1221no—
1035C2×#41—1221no—
1036C2×#41—1221no—
1037C2×#41—1221no—
1038C2×#41—1221no—
1039C2×#41—1221no—
1040C22×Q8—1221no—
1041C22×Q8—1221no—
1042C22×Q8—1221no—
1043C2×SD16—611no—
1044C2×SD16—611no—
1045C2×SD16—611no—
1046C2×SD16—611no—
1047C2×D8—611no—
1048C2×D8—611no—
1049C2×D8—611no—
1050C2×D8—611no—
1051C4⋊Q8—21no—
1052C4⋊Q8—611no—
1053C4⋊Q8—611no—
1054C4⋊Q8—611no—
1055C4⋊Q8—611no—
1056C4⋊Q8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—1221no—
1063C4⋊Q8—1221no—
1064C4⋊Q8—1221no—
1065C4⋊Q8—1221no—
1066C4⋊Q8—1221no—
1067C4⋊Q8—1221no—
1068C4⋊Q8—1221no—
1069C4⋊Q8—1221no—
1070C4⋊Q8—1221no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8C22×D6111yescharacteristic
1074C4⋊Q8C22×D6111yescharacteristic
1075#127—611no—
1076#127—611no—
1077#127—611no—
1078#127—611no—
1079#127—611no—
1080#127C22×D6111yescharacteristic
1081#125—21no—
1082#125—611no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—1221no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125C22×D6111yescharacteristic
1095#125C22×D6111yescharacteristic
1096#125C22×D6111yescharacteristic
1097#124—1221no—
1098#124—1221no—
1099#123—21no—
1100#123—21no—
1101#123—1221no—
1102#123—1221no—
1103#123—1221no—
1104#123—1221no—
1105#123—1221no—
1106#123—1221no—
1107C22⋊Q8—21no—
1108C22⋊Q8—21no—
1109C22⋊Q8—611no—
1110C22⋊Q8—611no—
1111C22⋊Q8—611no—
1112C22⋊Q8—611no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139#121—21no—
1140#121—21no—
1141#121—611no—
1142#121—611no—
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#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121C22×D6111yescharacteristic
1164#121C22×D6111yescharacteristic
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—611no—
1168C4×Q8—611no—
1169C4×Q8—611no—
1170C4×Q8—611no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—611no—
1175C4×Q8—1221no—
1176C4×Q8—1221no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
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—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—611no—
1194C4×D4—611no—
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—1221no—
1207#117—1221no—
1208#117—1221no—
1209#117C22×D6111yescharacteristic
1210#117C22×D6111yescharacteristic
1211C2×C4⋊C4—611no—
1212C2×C4⋊C4—1221no—
1213C2×C4⋊C4—1221no—
1214C2×C4⋊C4—1221no—
1215C2×C4⋊C4—1221no—
1216C2×C4⋊C4—1221no—
1217C2×C4⋊C4—1221no—
1218C2×C4⋊C4—1221no—
1219C2×C4⋊C4—1221no—
1220C2×C4⋊C4—1221no—
1221C2×C4⋊C4C22×D6111yescharacteristic
1222C2×C42—611no—
1223C2×C42—1221no—
1224#107—611no—
1225#107—611no—
1226#107—611no—
1227#107—611no—
1228#107—611no—
1229#107—611no—
1230#107—611no—
1231#107—611no—
1232#107C22×D6111yescharacteristic
1233#107C22×D6111yescharacteristic
1234#107C22×D6111yescharacteristic
1235#107C22×D6111yescharacteristic
1236#106—611no—
1237#106—611no—
1238#106—611no—
1239#106—611no—
1240#106—611no—
1241#106—611no—
1242#106—611no—
1243#106—611no—
1244#106C22×D6111yescharacteristic
1245#106C22×D6111yescharacteristic
1246#106C22×D6111yescharacteristic
1247#106C22×D6111yescharacteristic
1248C4⋊C8—611no—
1249C4⋊C8—611no—
1250C4⋊C8—611no—
1251C4⋊C8—611no—
1252C4⋊C8—611no—
1253C4⋊C8—611no—
1254C4⋊C8—611no—
1255C4⋊C8—611no—
1256C4⋊C8—611no—
1257C4⋊C8—611no—
1258C4⋊C8C22×D6111yescharacteristic
1259C4⋊C8C22×D6111yescharacteristic
1260#103—611no—
1261#103—611no—
1262#103—611no—
1263#103—611no—
1264#102—611no—
1265#102—611no—
1266#102—611no—
1267#102—611no—
1268#102—611no—
1269#102—611no—
1270#102—611no—
1271#102—611no—
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275#102—611no—
1276#102—611no—
1277#102—611no—
1278#102—611no—
1279#102—611no—
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102C22×D6111yescharacteristic
1285#102C22×D6111yescharacteristic
1286#102C22×D6111yescharacteristic
1287#102C22×D6111yescharacteristic
1288#102C22×D6111yescharacteristic
1289#102C22×D6111yescharacteristic
1290#102C22×D6111yescharacteristic
1291#102C22×D6111yescharacteristic
1292C22⋊C8—611no—
1293C22⋊C8—611no—
1294C22⋊C8C22×D6111yescharacteristic
1295C22⋊C8C22×D6111yescharacteristic
1296#97—611no—
1297#97—611no—
1298#97—611no—
1299#97C22×D6111yescharacteristic
1300C4×C8—611no—
1301C4×C8—611no—
1302C4×C8—611no—
1303C4×C8—611no—
1304C4×C8—611no—
1305C4×C8—611no—
1306C4×C8—611no—
1307C4×C8C22×D6111yescharacteristic
1308#41—1222no—
1309#41—1222no—
1310#41—4882no—
1311#41—4882no—
1312#41—4882no—
1313#41—4882no—
1314#41—4882no—
1315#41—4882no—
1316C2×Q8—21no—
1317C2×Q8—21no—
1318C2×Q8—611no—
1319C2×Q8—611no—
1320C2×Q8—611no—
1321C2×Q8—611no—
1322C2×Q8—611no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—1221no—
1326C2×Q8—1221no—
1327C2×Q8—1221no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8—1221no—
1331C2×Q8—4882no—
1332C2×Q8—4882no—
1333C2×Q8—4882no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—611no—
1339C2×D4—611no—
1340C2×D4—611no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
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×D4C23×D6111yescharacteristic
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4C23×D6111yescharacteristic
1380SD16—1222no—
1381SD16—1222no—
1382SD16—1222no—
1383SD16—1222no—
1384D8—1222no—
1385D8—1222no—
1386D8—1222no—
1387D8—1222no—
1388C2×C8—611no—
1389C2×C8—611no—
1390C2×C8—611no—
1391C2×C8—611no—
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C2×C8C23×D6111yescharacteristic
1395C2×C8C23×D6111yescharacteristic
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
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—1221no—
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⋊C4D4×D6111yescharacteristic
1449C4⋊C4D4×D6111yescharacteristic
1450C4⋊C4C23×D6111yescharacteristic
1451C4⋊C4C23×D6111yescharacteristic
1452C4⋊C4C23×D6111yescharacteristic
1453C4⋊C4C23×D6111yescharacteristic
1454C4⋊C4C23×D6111yescharacteristic
1455C4⋊C4C23×D6111yescharacteristic
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—611no—
1462C22⋊C4—611no—
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⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4D4×D6111yescharacteristic
1482C22⋊C4D4×D6111yescharacteristic
1483C42—21no—
1484C42—611no—
1485C42—611no—
1486C42—611no—
1487C42—611no—
1488C42—611no—
1489C42—611no—
1490C42—1221no—
1491C42—1221no—
1492C42—1221no—
1493C42—1221no—
1494C42—1221no—
1495C42—1221no—
1496C42C23×D6111yescharacteristic
1497C42C23×D6111yescharacteristic
1498C23—21no—
1499C23—21no—
1500C23—1221no—
1501C23—1221no—
1502C23—1221no—
1503C23C2×D4×D6111yescharacteristic
1504Q8—81no—
1505Q8—81no—
1506Q8—612no—
1507Q8—1222no—
1508Q8—1222no—
1509Q8—1222no—
1510Q8—1222no—
1511Q8—1221no—
1512Q8—4881no—
1513Q8—4881no—
1514Q8—4881no—
1515Q8—4881no—
1516Q8—4881no—
1517Q8—4881no—
1518Q8—2442no—
1519Q8—2442no—
1520D4—21no—
1521D4—21no—
1522D4—21no—
1523D4—21no—
1524D4—81no—
1525D4—81no—
1526D4—81no—
1527D4—81no—
1528D4—612no—
1529D4—1224no—
1530D4—1221no—
1531D4—1221no—
1532D4—1221no—
1533D4—1221no—
1534D4—1221no—
1535D4—4881no—
1536D4—4881no—
1537D4—4881no—
1538D4—4881no—
1539D4—4881no—
1540D4—4881no—
1541D4—4881no—
1542D4—4881no—
1543D4—4881no—
1544D4—4881no—
1545D4—2442no—
1546D4—2442no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—81no—
1556C2×C4—81no—
1557C2×C4—81no—
1558C2×C4—611no—
1559C2×C4—611no—
1560C2×C4—611no—
1561C2×C4—611no—
1562C2×C4—611no—
1563C2×C4—611no—
1564C2×C4—611no—
1565C2×C4—611no—
1566C2×C4—1224no—
1567C2×C4—1222no—
1568C2×C4—1222no—
1569C2×C4—1221no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—4881no—
1575C2×C4—4881no—
1576C2×C4—4881no—
1577C2×C4—4881no—
1578C2×C4—4881no—
1579C2×C4—4881no—
1580C2×C4—4881no—
1581C2×C4—4881no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—2442no—
1586C2×C4—2442no—
1587C2×C4—2442no—
1588C2×C4—2442no—
1589C2×C4—2442no—
1590C2×C4—2442no—
1591C2×C4C2×D4×D6111yescharacteristic
1592C2×C4C2×D4×D6111yescharacteristic
1593C2×C4C2×D4×D6111yescharacteristic
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C24×D6111yescharacteristic
1597C8—21no—
1598C8—21no—
1599C8—21no—
1600C8—21no—
1601C8—1221no—
1602C8—1221no—
1603C8—1221no—
1604C8—1221no—
1605C22—21no—
1606C22—21no—
1607C22—21no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—1222no—
1615C22—2441no—
1616C22—2441no—
1617C22—2441no—
1618C22—2441no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22C22×D4×D6111yescharacteristic
1624C4—21no—
1625C4—21no—
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—612no—
1636C4—612no—
1637C4—1222no—
1638C4—1221no—
1639C4—1221no—
1640C4—1221no—
1641C4—1221no—
1642C4—1221no—
1643C4—1221no—
1644C4—2441no—
1645C4—2441no—
1646C4—2441no—
1647C4—2441no—
1648C42−1+4×D6111yescharacteristic
1649C42−1+4×D6111yescharacteristic
1650C2—41no—
1651C2—81no—
1652C2—81no—
1653C2—4881no—
1654C2—4881no—
1655C2—2442no—
1656C2#2145946811yescharacteristic
1657C2#576×D6111yescharacteristic
1658C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3241C2
socleC22×C61C23×D4
hypercenter#3241D61
hypocenterC61#61868
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
1. #21460213C2semidirect
2. #21459634C2semidirect
3. #21458726C2semidirect
4. #21458724C2semidirect
5. #21458715C2semidirect
6. #21458713C2semidirect
7. #21458691C2semidirect
8. #21458689C2semidirect
9. #21458683C2semidirect
10. #21458681C2semidirect
11. #21458551C2semidirect
12. #21458545C2semidirect
13. #21458529C2semidirect
14. #21458523C2semidirect
15. #21458489C2semidirect
16. #21458487C2semidirect
17. #21458453C2semidirect
18. #21458451C2semidirect
19. #21457078C2semidirect
20. #21457072C2semidirect
21. #21457070C2semidirect
22. #21456945C2semidirect
23. #21456938C2semidirect
24. #21456021C2semidirect
25. #21456020C2semidirect
26. #21456013C2semidirect
27. #21456012C2semidirect
28. #21455874C2semidirect
29. #21455874C2semidirect
30. #21454918C2semidirect
31. C61×#3241C2semidirect
842. #3241D61semidirect
1032. C61#61868semidirect

Maximal subgroups

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

subgroupindex
#214602132
#214596342
#214587262
#214587242
#214587152
#214587132
#214586912
#214586892
#214586832
#214586812
#214585512
#214585452
#214585292
#214585232
#214584892
#214584872
#214584532
#214584512
#214570782
#214570722
#214570702
#214569452
#214569382
#214560212
#214560202
#214560132
#214560122
#214558742
#214549182
C61×#32412
#6186861