Finite Group Databasebeta

← #30570948

Subgroups — #30570948

Order 15616.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460213C211yesmaximal, characteristic, complemented
2#21459642C211yesmaximal, characteristic, complemented
3#21458780C211yesmaximal, characteristic, complemented
4#21458777C211yesmaximal, characteristic, complemented
5#21458774C211yesmaximal, characteristic, complemented
6#21458772C211yesmaximal, characteristic, complemented
7#21458770C211yesmaximal, characteristic, complemented
8#21458768C211yesmaximal, characteristic, complemented
9#21458759C211yesmaximal, characteristic, complemented
10#21458757C211yesmaximal, characteristic, complemented
11#21458553C211yesmaximal, characteristic, complemented
12#21458551C211yesmaximal, characteristic, complemented
13#21458547C211yesmaximal, characteristic, complemented
14#21458545C211yesmaximal, characteristic, complemented
15#21458531C211yesmaximal, characteristic, complemented
16#21458529C211yesmaximal, characteristic, complemented
17#21458525C211yesmaximal, characteristic, complemented
18#21458523C211yesmaximal, characteristic, complemented
19#21457078C211yesmaximal, characteristic, complemented
20#21457072C211yesmaximal, characteristic, complemented
21#21457070C211yesmaximal, characteristic, complemented
22#21457008C211yesmaximal, characteristic, complemented
23#21457006C211yesmaximal, characteristic, complemented
24#21456021C211yesmaximal, characteristic, complemented
25#21456020C211yesmaximal, characteristic, complemented
26#21456013C211yesmaximal, characteristic, complemented
27#21456012C211yesmaximal, characteristic, complemented
28#21455965C211yesmaximal, characteristic, complemented
29#21455965C211yesmaximal, characteristic, complemented
30#21454923C211yesmaximal, characteristic, complemented
31C61×#3241C211yesmaximal, characteristic, complemented
32#16840509—21no—
33#16840509—21no—
34#16840489C2211yescharacteristic
35#16840489C2211yescharacteristic
36#16840487C2211yescharacteristic
37#16840487C2211yescharacteristic
38#16840473C2211yescharacteristic
39#16840473C2211yescharacteristic
40#16840471C2211yescharacteristic
41#16840471C2211yescharacteristic
42#16840470—21no—
43#16840470—21no—
44#16840468C2211yescharacteristic
45#16840468C2211yescharacteristic
46#16840468C2211yescharacteristic
47#16840468C2211yescharacteristic
48#16840466—21no—
49#16840466—21no—
50#16840433C2211yescharacteristic
51#16840433C2211yescharacteristic
52#16840432C2211yescharacteristic
53#16840432C2211yescharacteristic
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#16840317—21no—
67#16840315C2211yescharacteristic
68#16840307C2211yescharacteristic
69#16840307C2211yescharacteristic
70C2×#14519768C2211yescharacteristic
71#125×D61—21no—
72#16840243C2211yescharacteristic
73#16840242C2211yescharacteristic
74#16840230C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840169C2211yescharacteristic
80#16840169C2211yescharacteristic
81#16840168C2211yescharacteristic
82#16840163C2211yescharacteristic
83#16840162C2211yescharacteristic
84#16840161C2211yescharacteristic
85#16840128C2211yescharacteristic
86#16840125C2211yescharacteristic
87#16840125C2211yescharacteristic
88#16840125C2211yescharacteristic
89#16840125C2211yescharacteristic
90#16840125C2211yescharacteristic
91#16840125C2211yescharacteristic
92#16840110C2211yescharacteristic
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#16840065C2211yescharacteristic
110#16840065C2211yescharacteristic
111#16840064C2211yescharacteristic
112#16840064C2211yescharacteristic
113#16840064C2211yescharacteristic
114#16840063C2211yescharacteristic
115#16840061C2211yescharacteristic
116#16840061C2211yescharacteristic
117#16840061C2211yescharacteristic
118#16840061C2211yescharacteristic
119#16840060C2211yescharacteristic
120#16840060C2211yescharacteristic
121#16840060C2211yescharacteristic
122#16840059C2211yescharacteristic
123#16840059C2211yescharacteristic
124#16840059C2211yescharacteristic
125#16840051C2211yescharacteristic
126#16840050C2211yescharacteristic
127#16840049C2211yescharacteristic
128#16840046C2211yescharacteristic
129#16840046C2211yescharacteristic
130#16840041C2211yescharacteristic
131#16840041C2211yescharacteristic
132#16840041C2211yescharacteristic
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#16839892C2211yescharacteristic
152#16839892C2211yescharacteristic
153#16839891C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839890C2211yescharacteristic
157#16839889C2211yescharacteristic
158#16839889C2211yescharacteristic
159#16839875C2211yescharacteristic
160#16839873C2211yescharacteristic
161#16839873C2211yescharacteristic
162#16839873C2211yescharacteristic
163#16839872C2211yescharacteristic
164#16839871C2211yescharacteristic
165#16839871C2211yescharacteristic
166#16839871C2211yescharacteristic
167#16839864C2211yescharacteristic
168#16839862C2211yescharacteristic
169#16839861C2211yescharacteristic
170#16839861C2211yescharacteristic
171#16839861C2211yescharacteristic
172#16839859C2211yescharacteristic
173#16839859C2211yescharacteristic
174#16839859C2211yescharacteristic
175#16839853C2211yescharacteristic
176C4×#11758190C2211yescharacteristic
177#16839849C2211yescharacteristic
178C4×#11758200C2211yescharacteristic
179C4×D488C2211yescharacteristic
180#16839844C2211yescharacteristic
181C4×#11758199C2211yescharacteristic
182#16839842C2211yescharacteristic
183#16839823C2211yescharacteristic
184#16839820C2211yescharacteristic
185#16839820C2211yescharacteristic
186#16839816C2211yescharacteristic
187#16839816C2211yescharacteristic
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—
210C2×#11758190C2311yescharacteristic
211C2×#11758190C2311yescharacteristic
212C2×#11758200C2311yescharacteristic
213C2×#11758200C2311yescharacteristic
214C2×D488C2311yescharacteristic
215C2×D488C2311yescharacteristic
216C2×#11758199C2311yescharacteristic
217C2×#11758199C2311yescharacteristic
218#14519777—21no—
219#14519776—21no—
220#14519776—21no—
221#14519776D411yescharacteristic
222#14519776D411yescharacteristic
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519775—21no—
228#14519775—21no—
229#14519774C2311yescharacteristic
230#14519773C2311yescharacteristic
231#14519773C2311yescharacteristic
232#14519773C2311yescharacteristic
233#14519773C2311yescharacteristic
234#14519769—21no—
235#14519769C2311yescharacteristic
236#14519768—21no—
237#14519768—21no—
238#14519768D411yescharacteristic
239#14519768D411yescharacteristic
240#14519768C2311yescharacteristic
241#14519768C2311yescharacteristic
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519763—21no—
257#14519763—21no—
258#14519762—21no—
259#14519762—21no—
260#14519761—21no—
261#14519761—21no—
262#14519759—21no—
263#14519759—21no—
264#14519757—21no—
265#14519757—21no—
266#14519757—21no—
267#14519757—21no—
268#14519757—21no—
269#14519757—21no—
270#14519756—21no—
271#14519756—21no—
272#14519755—21no—
273#14519755—21no—
274#14519755—21no—
275#14519755—21no—
276#14519755—21no—
277#14519755—21no—
278#14519755—21no—
279#14519755—21no—
280#14519754—21no—
281#14519754—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754D411yescharacteristic
287#14519754D411yescharacteristic
288#14519754D411yescharacteristic
289#14519754D411yescharacteristic
290#14519753—21no—
291#14519753—21no—
292#14519753—21no—
293#14519753—21no—
294#14519751—21no—
295#14519751—21no—
296#14519751C2311yescharacteristic
297#14519751C2311yescharacteristic
298#14519750—21no—
299#14519750—21no—
300#14519750—21no—
301#14519750—21no—
302#14519750—21no—
303#14519750—21no—
304#14519749—21no—
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519749—21no—
309#14519749—21no—
310#14519749—21no—
311#14519749—21no—
312#14519748—21no—
313#14519748—21no—
314#14519748—21no—
315#14519748—21no—
316Q8×Dic61—21no—
317Q8×Dic61—21no—
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324#14519742—21no—
325#14519742—21no—
326#14519742C2311yescharacteristic
327#14519742C2311yescharacteristic
328#14519742C2311yescharacteristic
329#14519742C2311yescharacteristic
330C4×D244C2311yescharacteristic
331C4×D244C2311yescharacteristic
332C4×D244C2311yescharacteristic
333C4×D244C2311yescharacteristic
334D4×Dic61C2311yescharacteristic
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338#14519739C2311yescharacteristic
339#14519739C2311yescharacteristic
340#14519739C2311yescharacteristic
341#14519739C2311yescharacteristic
342#14519739C2311yescharacteristic
343#14519739C2311yescharacteristic
344#14519739C2311yescharacteristic
345#14519739C2311yescharacteristic
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519737—21no—
354#14519736C2311yescharacteristic
355#14519735—21no—
356#14519735—21no—
357#14519734—21no—
358C2×C4⋊Dic61—21no—
359C2×C4⋊Dic61C2311yescharacteristic
360C2×#11758196—21no—
361C2×#11758196—21no—
362C2×#11758196—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—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
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
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
508#11758224—82no—
509#11758224—82no—
510#11758224—82no—
511#11758224—82no—
512#11758222—22no—
513#11758222—22no—
514#11758222—82no—
515#11758222—82no—
516C2×D244—21no—
517C2×D244—21no—
518C2×D244C2411yescharacteristic
519C2×D244C2411yescharacteristic
520C2×D244C2411yescharacteristic
521C2×C4×D61—21no—
522C2×C4×D61—21no—
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×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122C2×D411yescharacteristic
539C2×Dic122C2×D411yescharacteristic
540C2×Dic122C2×D411yescharacteristic
541C2×Dic122C2×D411yescharacteristic
542C2×Dic122C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61C2×D411yescharacteristic
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61C2×D411yescharacteristic
570C22⋊C4×C61C2×D411yescharacteristic
571C42×C61—21no—
572C42×C61C2411yescharacteristic
573C42×C61C2411yescharacteristic
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61C2×D411yescharacteristic
579C22⋊Dic61C2×D411yescharacteristic
580#11758200—22no—
581#11758200—22no—
582#11758199—22no—
583#11758199—22no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61C2×D411yescharacteristic
608C4⋊Dic61C2×D411yescharacteristic
609C4⋊Dic61C2×D411yescharacteristic
610C4⋊Dic61C2×D411yescharacteristic
611C4⋊Dic61C2×D411yescharacteristic
612C4⋊Dic61C2×D411yescharacteristic
613C4⋊Dic61C2411yescharacteristic
614C4⋊Dic61C2411yescharacteristic
615C4⋊Dic61C2411yescharacteristic
616C4⋊Dic61C2411yescharacteristic
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
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#11758196C2×D411yescharacteristic
638#11758196C2×D411yescharacteristic
639#11758196C2×D411yescharacteristic
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61C2×D411yescharacteristic
652C4×Dic61C2×D411yescharacteristic
653C4×Dic61C2411yescharacteristic
654C4×Dic61C2411yescharacteristic
655C4×Dic61C2411yescharacteristic
656C4×Dic61C2411yescharacteristic
657C2×#92418C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661D488—22no—
662D488—22no—
663#11758190—22no—
664#11758190—22no—
665C23×C61—21no—
666C23×C61—21no—
667C23×C61C22×D411yescharacteristic
668C22×D61—21no—
669C22×D61—21no—
670C22×D61—21no—
671Q8×C61—81no—
672Q8×C61—81no—
673D4×C61—21no—
674D4×C61—21no—
675D4×C61—21no—
676D4×C61—21no—
677D4×C61—81no—
678D4×C61—81no—
679D4×C61—81no—
680D4×C61—81no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—81no—
690C2×C4×C61—81no—
691C2×C4×C61—81no—
692C2×C4×C61C22×D411yescharacteristic
693C2×C4×C61C22×D411yescharacteristic
694C2×C4×C61C22×D411yescharacteristic
695C2×C4×C61C22×D411yescharacteristic
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C2511yescharacteristic
698C22⋊D61—24no—
699C22⋊D61—42no—
700C22⋊D61—42no—
701C22⋊D61—81no—
702C22⋊D61—81no—
703C22⋊D61—81no—
704C22⋊D61—81no—
705C22⋊D61—81no—
706C22⋊D61—81no—
707C22⋊D61—81no—
708C22⋊D61—81no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—41no—
715C2×Dic61—41no—
716C2×Dic61—42no—
717C2×Dic61—42no—
718C2×Dic61—81no—
719C2×Dic61—81no—
720C2×Dic61—81no—
721C2×Dic61C22×D411yescharacteristic
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724C2×Dic61C22×D411yescharacteristic
725C2×Dic61C22×D411yescharacteristic
726C2×Dic61C22×D411yescharacteristic
727C2×Dic61C22×D411yescharacteristic
728C2×Dic61C22×D411yescharacteristic
729D244—21no—
730D244—21no—
731D244—21no—
732D244—21no—
733D244—21no—
734D244—81no—
735D244—81no—
736D2442−1+412yes—
737C4×D61—24no—
738C4×D61—42no—
739C4×D61—42no—
740C4×D61—81no—
741C4×D61—81no—
742C4×D61—81no—
743C4×D61—81no—
744C4×D61—81no—
745C4×D61—81no—
746C4×D61—81no—
747C4×D61—81no—
748C4×D61—81no—
749C4×D61—81no—
750Dic122—21no—
751Dic122—41no—
752Dic122—41no—
753Dic122—41no—
754Dic122—41no—
755Dic122—81no—
756Dic122—81no—
757Dic122—81no—
758Dic122—81no—
759Dic1222−1+412yes—
760C8×C61—21no—
761C8×C61—21no—
762C8×C61—21no—
763C8×C61—21no—
764#92418—21no—
765#92418—21no—
766#92418—21no—
767#92418—21no—
768#61876—611nomaximal, Sylow
769C22×C61—21no—
770C22×C61—21no—
771C22×C61—21no—
772C22×C61—41no—
773C22×C61—41no—
774C22×C61—41no—
775C22×C61—41no—
776C22×C61—41no—
777C22×C61—41no—
778C22×C61C23×D411yescharacteristic
779C2×D61—22no—
780C2×D61—41no—
781C2×D61—41no—
782C2×D61—41no—
783C2×D61—41no—
784C2×D61—41no—
785C2×D61—41no—
786C2×D61—41no—
787C2×D61—41no—
788C4×C61—21no—
789C4×C61—21no—
790C4×C61—21no—
791C4×C61—21no—
792C4×C61—21no—
793C4×C61—41no—
794C4×C61—41no—
795C4×C61—41no—
796C4×C61—41no—
797C4×C61—41no—
798C4×C61—41no—
799C4×C61C2×2−1+411yescharacteristic
800C4×C61C2×2−1+411yescharacteristic
801Dic61—21no—
802Dic61—21no—
803Dic61—21no—
804Dic61—21no—
805Dic61—21no—
806Dic61—21no—
807Dic61—21no—
808Dic61—21no—
809Dic61—22no—
810Dic61—41no—
811Dic61—41no—
812Dic61—41no—
813Dic61—41no—
814#3548—611no—
815#3504—611no—
816#3389—611no—
817#3389—611no—
818#3389—611no—
819#3389—611no—
820#3388—611no—
821#3388—611no—
822#3388—611no—
823#3388—611no—
824#3368—611no—
825#3368—611no—
826#3368—611no—
827#3368—611no—
828#3366—611no—
829#3366—611no—
830#3366—611no—
831#3366—611no—
832#3241—611no—
833#3241—611no—
834#3241—611no—
835#3241D6111yescharacteristic, complemented
836#3234—611no—
837#3234—611no—
838#3119—611no—
839#3119—611no—
840#3119—611no—
841#3119—611no—
842#3115—611no—
843#3115—611no—
844#2987—611no—
845C2×C61—41no—
846C2×C61—81no—
847C2×C61—81no—
848C2×C61#348611yescharacteristic
849C2×C61#358511yescharacteristic
850C2×C61#358511yescharacteristic
851D61—42no—
852D61—81no—
853D61—81no—
854#562—1221no—
855#562—1221no—
856#557—611no—
857#557—611no—
858#557—611no—
859#557—611no—
860#554—611no—
861#554—611no—
862#554—611no—
863#554—611no—
864#554—611no—
865#554—611no—
866#554—611no—
867#554—611no—
868#554—1221no—
869#554—1221no—
870#554—1221no—
871#554—1221no—
872#550—611no—
873#550—611no—
874#550—611no—
875#550—611no—
876#547—1221no—
877#547—1221no—
878#544—611no—
879#544—1221no—
880#544—1221no—
881#544C2×D6111yescharacteristic
882#540—611no—
883#540—611no—
884#540—611no—
885#540C2×D6111yescharacteristic
886#537—1221no—
887#537—1221no—
888#537—1221no—
889#537—1221no—
890#533—611no—
891#533—1221no—
892#532—611no—
893#532—611no—
894C2×#125—611no—
895C2×#125—1221no—
896#520—611no—
897#520—611no—
898C4×#41—611no—
899#501—611no—
900#501—611no—
901#501—611no—
902#501—611no—
903#501—611no—
904#501—611no—
905#501—611no—
906#501C2×D6111yescharacteristic
907#499—611no—
908#499—611no—
909#499—611no—
910#499C2×D6111yescharacteristic
911#490—611no—
912#490—611no—
913#490—611no—
914#490—611no—
915#490—611no—
916#490—611no—
917#490—611no—
918#490C2×D6111yescharacteristic
919#486—611no—
920#486—611no—
921#486—611no—
922#486C2×D6111yescharacteristic
923#482—611no—
924#482—611no—
925#482C2×D6111yescharacteristic
926#482C2×D6111yescharacteristic
927#481—611no—
928#481—611no—
929#481—611no—
930#481C2×D6111yescharacteristic
931#480—611no—
932#480—611no—
933#480—611no—
934#480C2×D6111yescharacteristic
935#479—611no—
936#479—611no—
937#479—611no—
938#479—611no—
939#478—611no—
940#478—611no—
941#478—611no—
942#478—611no—
943#478—611no—
944#478—611no—
945#478—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#478—611no—
957#478C2×D6111yescharacteristic
958#478C2×D6111yescharacteristic
959#476—611no—
960#476—611no—
961#476—611no—
962#476C2×D6111yescharacteristic
963#475—611no—
964#475—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#474—611no—
970#474C2×D6111yescharacteristic
971#460—611no—
972#460—611no—
973#460—611no—
974#460—611no—
975#460—611no—
976#460—611no—
977#459—611no—
978#459—611no—
979#459—611no—
980#459—611no—
981#459—611no—
982#459—611no—
983#449—611no—
984#449—611no—
985#449—611no—
986#449—611no—
987#446—611no—
988#446—611no—
989#446—611no—
990#446—611no—
991#446—611no—
992#446—611no—
993#446—611no—
994#446—611no—
995#442—611no—
996#442—611no—
997#442—611no—
998#442—611no—
999#442—611no—
1000#442—611no—
1001#442—611no—
1002#442—611no—
1003#440—611no—
1004#440—611no—
1005#440—611no—
1006#440—611no—
1007#440—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011C4×SD16—611no—
1012C4×SD16—611no—
1013C4×SD16—611no—
1014C4×SD16—611no—
1015C4×D8—611no—
1016C4×D8—611no—
1017C4×D8—611no—
1018C4×D8—611no—
1019#433—611no—
1020#433—611no—
1021#433—611no—
1022#433C2×D6111yescharacteristic
1023#432—611no—
1024#432—611no—
1025C61#6187611yescharacteristic, complemented, Sylow
1026C2×#41—611no—
1027C2×#41—1221no—
1028C2×#41—1221no—
1029C2×#41—1221no—
1030C2×#41—1221no—
1031C2×#41—1221no—
1032C2×#41—1221no—
1033C2×SD16—611no—
1034C2×SD16—611no—
1035C2×SD16—611no—
1036C2×SD16—611no—
1037C2×D8—611no—
1038C2×D8—611no—
1039C2×D8—611no—
1040C2×D8—611no—
1041C4⋊Q8—21no—
1042C4⋊Q8—611no—
1043C4⋊Q8—611no—
1044C4⋊Q8—611no—
1045C4⋊Q8—611no—
1046C4⋊Q8—611no—
1047C4⋊Q8—611no—
1048C4⋊Q8—1221no—
1049C4⋊Q8—1221no—
1050C4⋊Q8—1221no—
1051C4⋊Q8—1221no—
1052C4⋊Q8—1221no—
1053C4⋊Q8C22×D6111yescharacteristic
1054C4⋊Q8C22×D6111yescharacteristic
1055#127—611no—
1056#127—611no—
1057#127—611no—
1058#127—611no—
1059#127—611no—
1060#127C22×D6111yescharacteristic
1061#125—21no—
1062#125—611no—
1063#125—611no—
1064#125—611no—
1065#125—611no—
1066#125—611no—
1067#125—611no—
1068#125—611no—
1069#125—611no—
1070#125—611no—
1071#125—611no—
1072#125—611no—
1073#125—1221no—
1074#125—1221no—
1075#125—1221no—
1076#125—1221no—
1077#125—1221no—
1078#125—1221no—
1079#125—1221no—
1080#125—1221no—
1081#125—1221no—
1082#125—1221no—
1083#125—1221no—
1084#125C22×D6111yescharacteristic
1085#125C22×D6111yescharacteristic
1086#125C22×D6111yescharacteristic
1087#124—1221no—
1088#124—1221no—
1089#123—21no—
1090#123—21no—
1091#123—1221no—
1092#123—1221no—
1093#123—1221no—
1094#123—1221no—
1095#123—1221no—
1096#123—1221no—
1097C22⋊Q8—21no—
1098C22⋊Q8—21no—
1099C22⋊Q8—611no—
1100C22⋊Q8—611no—
1101C22⋊Q8—611no—
1102C22⋊Q8—611no—
1103C22⋊Q8—1221no—
1104C22⋊Q8—1221no—
1105C22⋊Q8—1221no—
1106C22⋊Q8—1221no—
1107C22⋊Q8—1221no—
1108C22⋊Q8—1221no—
1109C22⋊Q8—1221no—
1110C22⋊Q8—1221no—
1111C22⋊Q8—1221no—
1112C22⋊Q8—1221no—
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—
1129#121—21no—
1130#121—21no—
1131#121—611no—
1132#121—611no—
1133#121—1221no—
1134#121—1221no—
1135#121—1221no—
1136#121—1221no—
1137#121—1221no—
1138#121—1221no—
1139#121—1221no—
1140#121—1221no—
1141#121—1221no—
1142#121—1221no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121C22×D6111yescharacteristic
1154#121C22×D6111yescharacteristic
1155C4×Q8—611no—
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—611no—
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×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
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—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4C22×D6111yescharacteristic
1194C4×D4C22×D6111yescharacteristic
1195#117—611no—
1196#117—1221no—
1197#117—1221no—
1198#117—1221no—
1199#117C22×D6111yescharacteristic
1200#117C22×D6111yescharacteristic
1201C2×C4⋊C4—611no—
1202C2×C4⋊C4—1221no—
1203C2×C4⋊C4—1221no—
1204C2×C4⋊C4—1221no—
1205C2×C4⋊C4—1221no—
1206C2×C4⋊C4—1221no—
1207C2×C4⋊C4—1221no—
1208C2×C4⋊C4—1221no—
1209C2×C4⋊C4—1221no—
1210C2×C4⋊C4—1221no—
1211C2×C4⋊C4—1221no—
1212C2×C4⋊C4—1221no—
1213C2×C4⋊C4—1221no—
1214C2×C4⋊C4C22×D6111yescharacteristic
1215C2×C42—611no—
1216C2×C42—1221no—
1217#107—611no—
1218#107—611no—
1219#107—611no—
1220#107—611no—
1221#107—611no—
1222#107—611no—
1223#107—611no—
1224#107—611no—
1225#107C22×D6111yescharacteristic
1226#107C22×D6111yescharacteristic
1227#107C22×D6111yescharacteristic
1228#107C22×D6111yescharacteristic
1229#106—611no—
1230#106—611no—
1231#106—611no—
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106—611no—
1237#106C22×D6111yescharacteristic
1238#106C22×D6111yescharacteristic
1239#106C22×D6111yescharacteristic
1240#106C22×D6111yescharacteristic
1241C4⋊C8—611no—
1242C4⋊C8—611no—
1243C4⋊C8—611no—
1244C4⋊C8—611no—
1245C4⋊C8—611no—
1246C4⋊C8—611no—
1247C4⋊C8—611no—
1248C4⋊C8—611no—
1249C4⋊C8—611no—
1250C4⋊C8—611no—
1251C4⋊C8C22×D6111yescharacteristic
1252C4⋊C8C22×D6111yescharacteristic
1253#103—611no—
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#102—611no—
1258#102—611no—
1259#102—611no—
1260#102—611no—
1261#102—611no—
1262#102—611no—
1263#102—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#102C22×D6111yescharacteristic
1278#102C22×D6111yescharacteristic
1279#102C22×D6111yescharacteristic
1280#102C22×D6111yescharacteristic
1281#102C22×D6111yescharacteristic
1282#102C22×D6111yescharacteristic
1283#102C22×D6111yescharacteristic
1284#102C22×D6111yescharacteristic
1285C22⋊C8—611no—
1286C22⋊C8—611no—
1287C22⋊C8C22×D6111yescharacteristic
1288C22⋊C8C22×D6111yescharacteristic
1289#97—611no—
1290#97—611no—
1291#97—611no—
1292#97—611no—
1293#97—611no—
1294#97—611no—
1295#97—611no—
1296#97C22×D6111yescharacteristic
1297C4×C8—611no—
1298C4×C8—611no—
1299C4×C8—611no—
1300C4×C8C22×D6111yescharacteristic
1301#41—1222no—
1302#41—1222no—
1303#41—4882no—
1304#41—4882no—
1305#41—4882no—
1306#41—4882no—
1307#41—4882no—
1308#41—4882no—
1309C2×Q8—21no—
1310C2×Q8—21no—
1311C2×Q8—611no—
1312C2×Q8—611no—
1313C2×Q8—611no—
1314C2×Q8—611no—
1315C2×Q8—611no—
1316C2×Q8—1221no—
1317C2×Q8—1221no—
1318C2×Q8—1221no—
1319C2×Q8—1221no—
1320C2×D4—21no—
1321C2×D4—21no—
1322C2×D4—21no—
1323C2×D4—21no—
1324C2×D4—611no—
1325C2×D4—611no—
1326C2×D4—611no—
1327C2×D4—1221no—
1328C2×D4—1221no—
1329C2×D4—1221no—
1330C2×D4—1221no—
1331C2×D4—1221no—
1332C2×D4—1221no—
1333C2×D4—1221no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4C23×D6111yescharacteristic
1341C2×D4C23×D6111yescharacteristic
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—611no—
1346C22×C4—611no—
1347C22×C4—1221no—
1348C22×C4—1221no—
1349C22×C4—1221no—
1350C22×C4—1221no—
1351C22×C4—1221no—
1352C22×C4—1221no—
1353C22×C4—1221no—
1354C22×C4—1221no—
1355C22×C4—1221no—
1356C22×C4—1221no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4C23×D6111yescharacteristic
1366SD16—1222no—
1367SD16—1222no—
1368SD16—1222no—
1369SD16—1222no—
1370D8—1222no—
1371D8—1222no—
1372D8—1222no—
1373D8—1222no—
1374C2×C8—611no—
1375C2×C8—611no—
1376C2×C8—611no—
1377C2×C8—611no—
1378C2×C8C23×D6111yescharacteristic
1379C2×C8C23×D6111yescharacteristic
1380C2×C8C23×D6111yescharacteristic
1381C2×C8C23×D6111yescharacteristic
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—611no—
1392C4⋊C4—611no—
1393C4⋊C4—611no—
1394C4⋊C4—611no—
1395C4⋊C4—611no—
1396C4⋊C4—611no—
1397C4⋊C4—611no—
1398C4⋊C4—611no—
1399C4⋊C4—611no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1439C4⋊C4D4×D6111yescharacteristic
1440C4⋊C4C23×D6111yescharacteristic
1441C4⋊C4C23×D6111yescharacteristic
1442C4⋊C4C23×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—611no—
1452C22⋊C4—611no—
1453C22⋊C4—1221no—
1454C22⋊C4—1221no—
1455C22⋊C4—1221no—
1456C22⋊C4—1221no—
1457C22⋊C4—1221no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4D4×D6111yescharacteristic
1472C22⋊C4D4×D6111yescharacteristic
1473C42—21no—
1474C42—611no—
1475C42—611no—
1476C42—611no—
1477C42—611no—
1478C42—611no—
1479C42—611no—
1480C42—1221no—
1481C42—1221no—
1482C42—1221no—
1483C42—1221no—
1484C42—1221no—
1485C42—1221no—
1486C42C23×D6111yescharacteristic
1487C42C23×D6111yescharacteristic
1488C23—21no—
1489C23—21no—
1490C23—1221no—
1491C23—1221no—
1492C23—1221no—
1493C23C2×D4×D6111yescharacteristic
1494Q8—81no—
1495Q8—81no—
1496Q8—612no—
1497Q8—1221no—
1498Q8—4881no—
1499Q8—4881no—
1500Q8—4881no—
1501Q8—4881no—
1502Q8—2441no—
1503Q8—2441no—
1504Q8—2441no—
1505Q8—2441no—
1506D4—21no—
1507D4—21no—
1508D4—21no—
1509D4—21no—
1510D4—81no—
1511D4—81no—
1512D4—81no—
1513D4—81no—
1514D4—612no—
1515D4—1224no—
1516D4—1221no—
1517D4—1221no—
1518D4—1221no—
1519D4—1221no—
1520D4—1221no—
1521D4—4881no—
1522D4—4881no—
1523D4—4881no—
1524D4—4881no—
1525D4—4881no—
1526D4—4881no—
1527D4—4881no—
1528D4—4881no—
1529D4—4881no—
1530D4—4881no—
1531D4—2442no—
1532D4—2442no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—611no—
1545C2×C4—611no—
1546C2×C4—611no—
1547C2×C4—611no—
1548C2×C4—611no—
1549C2×C4—611no—
1550C2×C4—611no—
1551C2×C4—611no—
1552C2×C4—1224no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—1221no—
1558C2×C4—4881no—
1559C2×C4—4881no—
1560C2×C4—4881no—
1561C2×C4—4881no—
1562C2×C4—4881no—
1563C2×C4—4881no—
1564C2×C4—4881no—
1565C2×C4—4881no—
1566C2×C4—4881no—
1567C2×C4—4881no—
1568C2×C4—4881no—
1569C2×C4—4881no—
1570C2×C4—4881no—
1571C2×C4—2442no—
1572C2×C4—2442no—
1573C2×C4—2441no—
1574C2×C4—2441no—
1575C2×C4—2442no—
1576C2×C4—2442no—
1577C2×C4C2×D4×D6111yescharacteristic
1578C2×C4C2×D4×D6111yescharacteristic
1579C2×C4C2×D4×D6111yescharacteristic
1580C2×C4C2×D4×D6111yescharacteristic
1581C2×C4C2×D4×D6111yescharacteristic
1582C2×C4C24×D6111yescharacteristic
1583C8—21no—
1584C8—21no—
1585C8—21no—
1586C8—21no—
1587C8—1221no—
1588C8—1221no—
1589C8—1221no—
1590C8—1221no—
1591C22—21no—
1592C22—21no—
1593C22—21no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—1222no—
1601C22—2441no—
1602C22—2441no—
1603C22—2441no—
1604C22—2441no—
1605C22—2441no—
1606C22—2441no—
1607C22—2441no—
1608C22—2441no—
1609C22C22×D4×D6111yescharacteristic
1610C4—21no—
1611C4—21no—
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—1222no—
1622C4—1221no—
1623C4—1221no—
1624C4—1221no—
1625C4—1221no—
1626C4—1221no—
1627C4—1221no—
1628C4—1221no—
1629C4—1221no—
1630C4—2441no—
1631C4—2441no—
1632C4—2441no—
1633C4—2441no—
1634C42−1+4×D6111yescharacteristic
1635C42−1+4×D6111yescharacteristic
1636C2—41no—
1637C2—81no—
1638C2—81no—
1639C2—4881no—
1640C2—4881no—
1641C2—2442no—
1642C2#2145946811yescharacteristic
1643C2#2146059411yescharacteristic
1644C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3241C2
socleC22×C61C23×D4
hypercenter#3241D61
hypocenterC61#61876
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. #21459642C2semidirect
3. #21458780C2semidirect
4. #21458777C2semidirect
5. #21458774C2semidirect
6. #21458772C2semidirect
7. #21458770C2semidirect
8. #21458768C2semidirect
9. #21458759C2semidirect
10. #21458757C2semidirect
11. #21458553C2semidirect
12. #21458551C2semidirect
13. #21458547C2semidirect
14. #21458545C2semidirect
15. #21458531C2semidirect
16. #21458529C2semidirect
17. #21458525C2semidirect
18. #21458523C2semidirect
19. #21457078C2semidirect
20. #21457072C2semidirect
21. #21457070C2semidirect
22. #21457008C2semidirect
23. #21457006C2semidirect
24. #21456021C2semidirect
25. #21456020C2semidirect
26. #21456013C2semidirect
27. #21456012C2semidirect
28. #21455965C2semidirect
29. #21455965C2semidirect
30. #21454923C2semidirect
31. C61×#3241C2semidirect
835. #3241D61semidirect
1025. C61#61876semidirect

Maximal subgroups

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

subgroupindex
#214602132
#214596422
#214587802
#214587772
#214587742
#214587722
#214587702
#214587682
#214587592
#214587572
#214585532
#214585512
#214585472
#214585452
#214585312
#214585292
#214585252
#214585232
#214570782
#214570722
#214570702
#214570082
#214570062
#214560212
#214560202
#214560132
#214560122
#214559652
#214549232
C61×#32412
#6187661