Finite Group Databasebeta

← #30570686

Subgroups — #30570686

Order 15616.

1730 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460288C211yesmaximal, characteristic, complemented
2#21459617C211yesmaximal, characteristic, complemented
3#21458778C211yesmaximal, characteristic, complemented
4#21458772C211yesmaximal, characteristic, complemented
5#21458741C211yesmaximal, characteristic, complemented
6#21458713C211yesmaximal, characteristic, complemented
7#21458695C211yesmaximal, characteristic, complemented
8#21458686C211yesmaximal, characteristic, complemented
9#21458685C211yesmaximal, characteristic, complemented
10#21458669C211yesmaximal, characteristic, complemented
11#21458606C211yesmaximal, characteristic, complemented
12#21458573C211yesmaximal, characteristic, complemented
13#21458569C211yesmaximal, characteristic, complemented
14#21458527C211yesmaximal, characteristic, complemented
15#21458477C211yesmaximal, characteristic, complemented
16#21458474C211yesmaximal, characteristic, complemented
17#21458474C211yesmaximal, characteristic, complemented
18#21458452C211yesmaximal, characteristic, complemented
19#21457108C211yesmaximal, characteristic, complemented
20#21457096C211yesmaximal, characteristic, complemented
21#21457074C211yesmaximal, characteristic, complemented
22#21457070C211yesmaximal, characteristic, complemented
23#21457001C211yesmaximal, characteristic, complemented
24#21456953C211yesmaximal, characteristic, complemented
25#21456062C211yesmaximal, characteristic, complemented
26#21456056C211yesmaximal, characteristic, complemented
27#21456004C211yesmaximal, characteristic, complemented
28#21455867C211yesmaximal, characteristic, complemented
29#21455814C211yesmaximal, characteristic, complemented
30#21454918C211yesmaximal, characteristic, complemented
31C61×#3118C211yesmaximal, characteristic, complemented
32#16840509—21no—
33#16840506—21no—
34#16840497C2211yescharacteristic, complemented
35#16840494C2211yescharacteristic, complemented
36#16840494C2211yescharacteristic, complemented
37#16840488C2211yescharacteristic, complemented
38#16840473C2211yescharacteristic, complemented
39#16840471—21no—
40#16840471—21no—
41#16840471C2211yescharacteristic
42#16840471C2211yescharacteristic
43#16840471C2211yescharacteristic
44#16840471C2211yescharacteristic
45#16840471C2211yescharacteristic, complemented
46#16840469—21no—
47#16840469C2211yescharacteristic
48#16840469C2211yescharacteristic
49#16840433C2211yescharacteristic, complemented
50D4×Dic122—21no—
51D4×Dic122C2211yescharacteristic
52D4×Dic122C2211yescharacteristic
53#16840427C2211yescharacteristic, complemented
54#16840420—21no—
55#16840410—21no—
56#16840390C2211yescharacteristic
57#16840390C2211yescharacteristic
58#16840388—21no—
59#16840388—21no—
60#16840385C2211yescharacteristic
61#16840378—21no—
62#16840367C2211yescharacteristic
63#16840365C2211yescharacteristic
64#16840361—21no—
65#16840353—21no—
66#16840335—21no—
67#16840315C2211yescharacteristic
68#16840315C2211yescharacteristic
69#16840307C2211yescharacteristic
70#16840298C2211yescharacteristic
71C2×#14519754—21no—
72C2×#14519754—21no—
73#16840237C2211yescharacteristic
74C2×D4×Dic61C2211yescharacteristic
75#16840171C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840168C2211yescharacteristic, complemented
79#16840166C2211yescharacteristic, complemented
80#16840166C2211yescharacteristic, complemented
81#16840165C2211yescharacteristic, complemented
82#16840164C2211yescharacteristic, complemented
83#16840163C2211yescharacteristic, complemented
84#16840162C2211yescharacteristic, complemented
85#16840162C2211yescharacteristic, complemented
86#16840159C2211yescharacteristic, complemented
87#16840127C2211yescharacteristic, complemented
88#16840125C2211yescharacteristic, complemented
89#16840123C2211yescharacteristic, complemented
90#16840121C2211yescharacteristic, complemented
91#16840118C2211yescharacteristic, complemented
92#16840118C2211yescharacteristic, complemented
93#16840118C2211yescharacteristic, complemented
94#16840116C2211yescharacteristic, complemented
95#16840109C2211yescharacteristic, complemented
96#16840107C2211yescharacteristic, complemented
97#16840107C2211yescharacteristic, complemented
98#16840107C2211yescharacteristic, complemented
99#16840100C2211yescharacteristic
100#16840095C2211yescharacteristic
101#16840087C2211yescharacteristic
102#16840087C2211yescharacteristic
103#16840086C2211yescharacteristic
104#16840086C2211yescharacteristic
105#16840083C2211yescharacteristic
106#16840081C2211yescharacteristic
107#16840076C2211yescharacteristic
108#16840073C2211yescharacteristic
109#16840071C2211yescharacteristic, complemented
110#16840069C2211yescharacteristic, complemented
111#16840065C2211yescharacteristic, complemented
112#16840064C2211yescharacteristic
113#16840064C2211yescharacteristic
114#16840064C2211yescharacteristic
115#16840064C2211yescharacteristic, complemented
116#16840064C2211yescharacteristic, complemented
117#16840063C2211yescharacteristic, complemented
118#16840063C2211yescharacteristic, complemented
119#16840062C2211yescharacteristic
120#16840062C2211yescharacteristic
121#16840062C2211yescharacteristic, complemented
122#16840061C2211yescharacteristic, complemented
123#16840061C2211yescharacteristic, complemented
124#16840061C2211yescharacteristic, complemented
125#16840060C2211yescharacteristic
126#16840060C2211yescharacteristic, complemented
127#16840057C2211yescharacteristic, complemented
128#16840055C2211yescharacteristic, complemented
129#16840055C2211yescharacteristic, complemented
130#16840053C2211yescharacteristic, complemented
131#16840051C2211yescharacteristic, complemented
132#16840050C2211yescharacteristic
133#16840050C2211yescharacteristic, complemented
134#16840045C2211yescharacteristic, complemented
135#16840043C2211yescharacteristic, complemented
136#16840042C2211yescharacteristic, complemented
137#16840041C2211yescharacteristic, complemented
138#16840041C2211yescharacteristic, complemented
139#16840041C2211yescharacteristic, complemented
140#16840040C2211yescharacteristic
141#16840040C2211yescharacteristic
142#16840040C2211yescharacteristic
143#16839979C2211yescharacteristic
144#16839979C2211yescharacteristic
145#16839979C2211yescharacteristic
146#16839979C2211yescharacteristic
147#16839957C2211yescharacteristic
148#16839957C2211yescharacteristic
149#16839955C2211yescharacteristic
150#16839955C2211yescharacteristic
151#16839955C2211yescharacteristic
152#16839955C2211yescharacteristic
153#16839896C2211yescharacteristic
154#16839896C2211yescharacteristic
155#16839891C2211yescharacteristic, complemented
156#16839891C2211yescharacteristic, complemented
157#16839890C2211yescharacteristic, complemented
158#16839890C2211yescharacteristic, complemented
159C8×Dic122C2211yescharacteristic, complemented
160C8×Dic122C2211yescharacteristic, complemented
161#16839886C2211yescharacteristic, complemented
162#16839886C2211yescharacteristic, complemented
163#16839874C2211yescharacteristic
164#16839872C2211yescharacteristic
165#16839872C2211yescharacteristic
166#16839871C2211yescharacteristic
167#16839871C2211yescharacteristic
168#16839863C2211yescharacteristic
169SD16×Dic61C2211yescharacteristic
170SD16×Dic61C2211yescharacteristic
171SD16×Dic61C2211yescharacteristic
172D8×Dic61C2211yescharacteristic
173D8×Dic61C2211yescharacteristic
174D8×Dic61C2211yescharacteristic
175C4×#11758199C2211yescharacteristic
176C4×#11758199C2211yescharacteristic
177#16839842C2211yescharacteristic
178#16839842C2211yescharacteristic
179#16839842C2211yescharacteristic
180#16839842C2211yescharacteristic
181#16839842C2211yescharacteristic
182#16839842C2211yescharacteristic
183#16839823C2211yescharacteristic
184#16839820C2211yescharacteristic
185#16839820C2211yescharacteristic
186#16839812C2211yescharacteristic
187#16839812C2211yescharacteristic
188C61×#542C2211yescharacteristic
189C61×#518C2211yescharacteristic
190C61×#485C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#476C2211yescharacteristic
193C61×#474C2211yescharacteristic
194C61×#463C2211yescharacteristic
195C61×#463C2211yescharacteristic
196C61×#450C2211yescharacteristic
197C61×#447C2211yescharacteristic
198C61×#442C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C4×SD16×C61C2211yescharacteristic
201C4×D8×C61C2211yescharacteristic
202C61×#433C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758224—21no—
205C22×Dic122—21no—
206C22×Dic122—21no—
207C2×Q8×D61—21no—
208C23×Dic61—21no—
209C2×#11758199C2311yescharacteristic
210C2×#11758199C2311yescharacteristic
211C2×#11758199C2311yescharacteristic
212C2×#11758199C2311yescharacteristic
213#14519777—21no—
214#14519777C2311yescharacteristic
215#14519777C2311yescharacteristic
216#14519776—21no—
217#14519776—21no—
218#14519776D411yescharacteristic
219#14519776D411yescharacteristic
220#14519776C2311yescharacteristic
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519774C2311yescharacteristic
227#14519773C2311yescharacteristic
228#14519773C2311yescharacteristic
229#14519772—21no—
230#14519772—21no—
231#14519769—21no—
232#14519769—21no—
233#14519769C2311yescharacteristic
234#14519769C2311yescharacteristic
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#14519766C2311yescharacteristic
247#14519766C2311yescharacteristic
248#14519765—21no—
249#14519763—21no—
250#14519763—21no—
251#14519763—21no—
252#14519763—21no—
253#14519762—21no—
254#14519762—21no—
255#14519762—21no—
256#14519762—21no—
257#14519761—21no—
258#14519761—21no—
259#14519761—21no—
260#14519761—21no—
261#14519759—21no—
262#14519759—21no—
263#14519759—21no—
264#14519759—21no—
265#14519757—21no—
266#14519757—21no—
267#14519756—21no—
268#14519756—21no—
269#14519756—21no—
270#14519756—21no—
271#14519756—21no—
272#14519756—21no—
273#14519756—21no—
274#14519756—21no—
275#14519756—21no—
276#14519755—21no—
277#14519755—21no—
278#14519754—21no—
279#14519754—21no—
280#14519754—21no—
281#14519754—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519754—21no—
288#14519754—21no—
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754—21no—
299#14519754—21no—
300#14519754—21no—
301#14519754—21no—
302#14519754D411yescharacteristic
303#14519754D411yescharacteristic
304#14519754D411yescharacteristic
305#14519754D411yescharacteristic
306#14519753—21no—
307#14519753—21no—
308#14519753—21no—
309#14519751—21no—
310#14519751C2311yescharacteristic
311#14519751C2311yescharacteristic
312#14519750—21no—
313#14519750—21no—
314#14519750—21no—
315#14519750—21no—
316#14519749—21no—
317#14519749—21no—
318#14519748—21no—
319Q8×Dic61C2311yescharacteristic
320Q8×Dic61C2311yescharacteristic
321C4×Dic122—21no—
322C4×Dic122—21no—
323C4×Dic122—21no—
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327C4×Dic122C2311yescharacteristic
328C4×D244—21no—
329C4×D244C2311yescharacteristic
330C4×D244C2311yescharacteristic
331D4×Dic61—21no—
332D4×Dic61—21no—
333D4×Dic61—21no—
334D4×Dic61—21no—
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342D4×Dic61C2311yescharacteristic
343D4×Dic61C2311yescharacteristic
344D4×Dic61C2311yescharacteristic
345#14519739C2311yescharacteristic
346#14519739C2311yescharacteristic
347#14519739C2311yescharacteristic
348#14519739C2311yescharacteristic
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519736C2311yescharacteristic
354#14519736C2311yescharacteristic
355#14519735—21no—
356C2×C4⋊Dic61—21no—
357C2×C4⋊Dic61—21no—
358C2×C4⋊Dic61C2311yescharacteristic
359C2×#11758196—21no—
360C2×#11758196—21no—
361C2×#11758196—21no—
362C2×#11758196—21no—
363C2×#11758196—21no—
364C4⋊C4×D61—21no—
365C2×C22⋊Dic61—21no—
366C2×C22⋊Dic61—21no—
367C2×C22⋊Dic61—21no—
368C2×C4×Dic61C2311yescharacteristic
369#14519711C2311yescharacteristic
370#14519711C2311yescharacteristic
371#14519711C2311yescharacteristic
372#14519711C2311yescharacteristic
373#14519710C2311yescharacteristic
374#14519710C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
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#14519701C2311yescharacteristic
400#14519701C2311yescharacteristic
401#14519701C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519699C2311yescharacteristic
404#14519699C2311yescharacteristic
405#14519699C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519698C2311yescharacteristic
412#14519698C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
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
435C22×D4×C61C2311yescharacteristic
436C2×SD16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C4⋊Q8×C61C2311yescharacteristic
441#126×C61—21no—
442#124×C61—21no—
443#124×C61C2311yescharacteristic
444#123×C61—21no—
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61C2311yescharacteristic
447#121×C61C2311yescharacteristic
448C4×Q8×C61C2311yescharacteristic
449C4×D4×C61—21no—
450C4×D4×C61—21no—
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456#117×C61C2311yescharacteristic
457#117×C61C2311yescharacteristic
458C2×C22⋊C4×C61—21no—
459C2×C22⋊C4×C61—21no—
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#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
478C24×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61C2411yescharacteristic
481C2×D4×C61—22no—
482C2×D4×C61—22no—
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61C2411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61C2411yescharacteristic
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C22×Dic61—21no—
501C22×Dic61—21no—
502C22×Dic61—21no—
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—82no—
512C22×Dic61C2×D411yescharacteristic
513C22×Dic61C2×D411yescharacteristic
514Q8×D61—82no—
515#11758224—82no—
516#11758222—82no—
517C2×D244—21no—
518C2×D244—21no—
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×Dic122—21no—
528C2×Dic122—21no—
529C2×Dic122—21no—
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—82no—
536C2×Dic122—82no—
537C2×Dic122C2×D411yescharacteristic
538C2×Dic122C2×D411yescharacteristic
539C2×Dic122C2×D411yescharacteristic
540C2×Dic122C2×D411yescharacteristic
541SD16×C61—22no—
542SD16×C61—22no—
543D8×C61—22no—
544D8×C61—22no—
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61C2×D411yescharacteristic
553C4⋊C4×C61C2×D411yescharacteristic
554C4⋊C4×C61C2411yescharacteristic
555C4⋊C4×C61C2411yescharacteristic
556C4⋊C4×C61C2411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C22⋊C4×C61—21no—
559C22⋊C4×C61—21no—
560C22⋊C4×C61—21no—
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61C2×D411yescharacteristic
569C22⋊C4×C61C2×D411yescharacteristic
570C42×C61—21no—
571C42×C61—21no—
572C42×C61C2411yescharacteristic
573C42×C61C2411yescharacteristic
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
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⋊Dic61C2×D411yescharacteristic
586C22⋊Dic61C2×D411yescharacteristic
587#11758199—22no—
588#11758199—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—
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61C2×D411yescharacteristic
615C4⋊Dic61C2×D411yescharacteristic
616C4⋊Dic61C2×D411yescharacteristic
617C4⋊Dic61C2×D411yescharacteristic
618C4⋊Dic61C2×D411yescharacteristic
619C4⋊Dic61C2×D411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2411yescharacteristic
658C4×Dic61C2411yescharacteristic
659C4×Dic61C2411yescharacteristic
660C4×Dic61C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C23×C61—24no—
666C23×C61—21no—
667C23×C61—21no—
668C23×C61—21no—
669C23×C61—81no—
670C23×C61—81no—
671C23×C61C22×D411yescharacteristic
672C22×D61—21no—
673C22×D61—21no—
674Q8×C61—21no—
675Q8×C61—21no—
676Q8×C61—81no—
677D4×C61—24no—
678D4×C61—21no—
679D4×C61—21no—
680D4×C61—21no—
681D4×C61—21no—
682D4×C61—81no—
683D4×C612−1+412yes—
684D4×C612−1+412yes—
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×C61—81no—
696C2×C4×C61—81no—
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C22×D411yescharacteristic
702C2×C4×C61C2511yescharacteristic
703C22⋊D61—42no—
704C22⋊D61—81no—
705C22⋊D61—81no—
706C22⋊D61—81no—
707C22⋊D61—81no—
708C22⋊D61—81no—
709C2×Dic61—22no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—41no—
717C2×Dic61—42no—
718C2×Dic61—42no—
719C2×Dic61—81no—
720C2×Dic61—81no—
721C2×Dic61—81no—
722C2×Dic61—81no—
723C2×Dic61—81no—
724C2×Dic61—81no—
725C2×Dic61—81no—
726C2×Dic61—81no—
727C2×Dic61—81no—
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736D244—21no—
737D244—21no—
738D244—21no—
739D244—21no—
740D244—81no—
741D244—81no—
742C4×D61—42no—
743C4×D61—81no—
744C4×D61—81no—
745C4×D61—81no—
746C4×D61—81no—
747C4×D61—81no—
748Dic122—22no—
749Dic122—22no—
750Dic122—41no—
751Dic122—41no—
752Dic122—42no—
753Dic122—42no—
754Dic122—81no—
755Dic122—81no—
756Dic122—81no—
757Dic122—81no—
758Dic122—81no—
759Dic122—81no—
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#61863—611nomaximal, Sylow
769C22×C61—21no—
770C22×C61—21no—
771C22×C61—22no—
772C22×C61—22no—
773C22×C61—21no—
774C22×C61—41no—
775C22×C61—41no—
776C22×C61—41no—
777C22×C61—41no—
778C22×C61—41no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—84no—
782C22×C61C23×D411yescharacteristic
783C2×D61—41no—
784C2×D61—41no—
785C2×D61—41no—
786C2×D61—41no—
787C2×D61—41no—
788C2×D61—41no—
789C4×C61—21no—
790C4×C61—21no—
791C4×C61—21no—
792C4×C61—21no—
793C4×C61—21no—
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—41no—
809Dic61—41no—
810Dic61—41no—
811Dic61—41no—
812Dic61—41no—
813Dic61—41no—
814Dic61#57612yes—
815#3554—611no—
816#3501—611no—
817#3389—611no—
818#3389—611no—
819#3386—611no—
820#3384—611no—
821#3381—611no—
822#3380—611no—
823#3380—611no—
824Q8×D8—611no—
825#3373—611no—
826#3370—611no—
827#3370—611no—
828#3366—611no—
829#3361—611no—
830#3361—611no—
831#3361—611no—
832#3358—611no—
833#3243—611no—
834#3243—611no—
835#3241—611no—
836#3241—611no—
837#3233—611no—
838#3228—611no—
839#3122—611no—
840#3122—611no—
841#3118—611no—
842#3118D6111yescharacteristic, complemented
843#3105—611no—
844#3100—611no—
845#2986—611no—
846C2×C61—41no—
847C2×C61—42no—
848C2×C61—42no—
849C2×C61—81no—
850C2×C61#348611yescharacteristic
851C2×C61C2×#57611yescharacteristic
852C2×C61#358411yescharacteristic
853D61—81no—
854D61—81no—
855#562—1221no—
856#562—1221no—
857#559—611no—
858#559—611no—
859#559—611no—
860#557—611no—
861#554—611no—
862#554—611no—
863#554—611no—
864#554—611no—
865#554—611no—
866#554—611no—
867#554—611no—
868#554—611no—
869#554—1221no—
870#554—1221no—
871#554—1221no—
872#550—611no—
873D4×Q8—611no—
874D4×Q8—611no—
875D4×Q8—611no—
876D4×Q8—1221no—
877#548—1221no—
878#547—1221no—
879#544—611no—
880#544—611no—
881#543—1221no—
882#543—1221no—
883#542—611no—
884#542—1221no—
885#542C2×D6111yescharacteristic
886#540—611no—
887#540—611no—
888#539—1221no—
889#539—1221no—
890#536—1221no—
891#533—611no—
892#533—611no—
893#532—611no—
894#529—611no—
895C2×C22⋊Q8—1221no—
896C2×C22⋊Q8—1221no—
897#518—611no—
898#518C2×D6111yescharacteristic
899C2×C4×D4—611no—
900#501—611no—
901#501—611no—
902#501—611no—
903#501—611no—
904#500—611no—
905#500—611no—
906#500—611no—
907#499—611no—
908#499—611no—
909#499—611no—
910#499—611no—
911#498—611no—
912#490—611no—
913#490—611no—
914#489—611no—
915#489—611no—
916#488—611no—
917#488—611no—
918#488—611no—
919#488—611no—
920#486—611no—
921#486—611no—
922#486—611no—
923#486—611no—
924#485—611no—
925#485C2×D6111yescharacteristic
926#484—611no—
927#482—611no—
928#482—611no—
929#482—611no—
930#482—611no—
931#482—611no—
932#482C2×D6111yescharacteristic
933#481—611no—
934#480—611no—
935#480—611no—
936#479—611no—
937#479—611no—
938#478—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#477—611no—
955#477—611no—
956#477—611no—
957#476—611no—
958#476—611no—
959#476—611no—
960#476—611no—
961#476C2×D6111yescharacteristic
962#475—611no—
963#474—611no—
964#474—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#474—611no—
970#474—611no—
971#474C2×D6111yescharacteristic
972#463—611no—
973#463—611no—
974#463—611no—
975#463—611no—
976#463C2×D6111yescharacteristic
977#463C2×D6111yescharacteristic
978#459—611no—
979#459—611no—
980#459—611no—
981#459—611no—
982#459—611no—
983#459—611no—
984#450C2×D6111yescharacteristic
985#447—611no—
986#447—611no—
987#447C2×D6111yescharacteristic
988#446—611no—
989#446—611no—
990#446—611no—
991#446—611no—
992C8×Q8—611no—
993C8×Q8—611no—
994C8×Q8—611no—
995C8×Q8—611no—
996#442—611no—
997#442—611no—
998#442—611no—
999#442—611no—
1000#442—611no—
1001#442C2×D6111yescharacteristic
1002#440—611no—
1003#440C2×D6111yescharacteristic
1004C4×SD16—611no—
1005C4×SD16—611no—
1006C4×SD16—611no—
1007C4×SD16C2×D6111yescharacteristic
1008C4×D8—611no—
1009C4×D8—611no—
1010C4×D8—611no—
1011C4×D8—611no—
1012C4×D8—611no—
1013C4×D8—611no—
1014C4×D8—611no—
1015C4×D8—611no—
1016C4×D8—611no—
1017C4×D8—611no—
1018C4×D8—611no—
1019C4×D8C2×D6111yescharacteristic
1020#433—611no—
1021#433—611no—
1022#433—611no—
1023#433C2×D6111yescharacteristic
1024#431—611no—
1025#431—611no—
1026C61#6186311yescharacteristic, complemented, Sylow
1027C2×#41—1221no—
1028C2×#41—1221no—
1029C22×Q8—1221no—
1030C22×Q8—1221no—
1031C22×Q8—1221no—
1032C22×D4C22×D6111yescharacteristic
1033C23×C4—1221no—
1034C2×SD16C22×D6111yescharacteristic
1035C2×SD16C22×D6111yescharacteristic
1036C2×D8—611no—
1037C2×D8—611no—
1038C2×D8—611no—
1039C2×D8—611no—
1040C2×D8C22×D6111yescharacteristic
1041C2×D8C22×D6111yescharacteristic
1042C4⋊Q8—611no—
1043C4⋊Q8—611no—
1044C4⋊Q8—611no—
1045C4⋊Q8—611no—
1046C4⋊Q8—611no—
1047C4⋊Q8—611no—
1048C4⋊Q8—611no—
1049C4⋊Q8—611no—
1050C4⋊Q8—611no—
1051C4⋊Q8—611no—
1052C4⋊Q8—1221no—
1053C4⋊Q8—1221no—
1054C4⋊Q8—1221no—
1055C4⋊Q8C22×D6111yescharacteristic
1056#127—611no—
1057#127—611no—
1058#127—611no—
1059#126—21no—
1060#126—1221no—
1061#126—1221no—
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#124—21no—
1078#124—611no—
1079#124—611no—
1080#124—1221no—
1081#124—1221no—
1082#124—1221no—
1083#124—1221no—
1084#124—1221no—
1085#124C22×D6111yescharacteristic
1086#123—21no—
1087#123—1221no—
1088#123—1221no—
1089#123—1221no—
1090#123—1221no—
1091#123—1221no—
1092#123—1221no—
1093#123—1221no—
1094#123—1221no—
1095#123—1221no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099C22⋊Q8—21no—
1100C22⋊Q8—611no—
1101C22⋊Q8—611no—
1102C22⋊Q8—611no—
1103C22⋊Q8—611no—
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—
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—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8C22×D6111yescharacteristic
1145#121—611no—
1146#121—611no—
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
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—611no—
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—1221no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8C22×D6111yescharacteristic
1166C4×D4—21no—
1167C4×D4—21no—
1168C4×D4—611no—
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—1221no—
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
1195C4×D4C22×D6111yescharacteristic
1196C4×D4C22×D6111yescharacteristic
1197C4×D4C22×D6111yescharacteristic
1198#117—611no—
1199#117—611no—
1200#117—1221no—
1201#117C22×D6111yescharacteristic
1202#117C22×D6111yescharacteristic
1203C2×C4⋊C4—611no—
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×C22⋊C4—21no—
1213C2×C22⋊C4—21no—
1214C2×C22⋊C4—1221no—
1215C2×C22⋊C4—1221no—
1216C2×C22⋊C4—1221no—
1217C2×C42—611no—
1218#107—611no—
1219#107—611no—
1220#107—611no—
1221#107—611no—
1222#107—611no—
1223#107—611no—
1224#107—611no—
1225#107—611no—
1226#107—611no—
1227#107—611no—
1228#107—611no—
1229#107—611no—
1230#107C22×D6111yescharacteristic
1231#107C22×D6111yescharacteristic
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106—611no—
1237#106—611no—
1238#106—611no—
1239#106—611no—
1240#106C22×D6111yescharacteristic
1241#106C22×D6111yescharacteristic
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⋊C8—611no—
1252C4⋊C8C22×D6111yescharacteristic
1253C4⋊C8C22×D6111yescharacteristic
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#103—611no—
1258#103C22×D6111yescharacteristic
1259#103C22×D6111yescharacteristic
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#102—611no—
1278#102—611no—
1279#102—611no—
1280#102C22×D6111yescharacteristic
1281#102C22×D6111yescharacteristic
1282#102C22×D6111yescharacteristic
1283#102C22×D6111yescharacteristic
1284#102C22×D6111yescharacteristic
1285#102C22×D6111yescharacteristic
1286C22⋊C8—611no—
1287C22⋊C8—611no—
1288C22⋊C8C22×D6111yescharacteristic
1289C22⋊C8C22×D6111yescharacteristic
1290#97—611no—
1291#97—611no—
1292#97—611no—
1293#97C22×D6111yescharacteristic
1294C4×C8—611no—
1295C4×C8—611no—
1296C4×C8—611no—
1297C4×C8—611no—
1298C4×C8—611no—
1299C4×C8—611no—
1300C4×C8—611no—
1301C4×C8C22×D6111yescharacteristic
1302C24—21no—
1303#41—4882no—
1304#41—4882no—
1305C2×Q8—21no—
1306C2×Q8—611no—
1307C2×Q8—611no—
1308C2×Q8—611no—
1309C2×Q8—611no—
1310C2×Q8—1221no—
1311C2×Q8—1221no—
1312C2×Q8—1221no—
1313C2×Q8—1221no—
1314C2×Q8—1221no—
1315C2×Q8—1221no—
1316C2×Q8—1221no—
1317C2×Q8—1221no—
1318C2×Q8—4882no—
1319C2×Q8—4882no—
1320C2×Q8—4882no—
1321C2×Q8C23×D6111yescharacteristic
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—611no—
1327C2×D4—611no—
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×D4C23×D6111yescharacteristic
1337C2×D4C23×D6111yescharacteristic
1338C2×D4C23×D6111yescharacteristic
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—611no—
1345C22×C4—611no—
1346C22×C4—1221no—
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—4882no—
1364C22×C4C23×D6111yescharacteristic
1365SD16—22no—
1366SD16—22no—
1367D8—22no—
1368D8—22no—
1369D8—1222no—
1370D8—1222no—
1371D8—1222no—
1372D8—1222no—
1373C2×C8—611no—
1374C2×C8—611no—
1375C2×C8—611no—
1376C2×C8—611no—
1377C2×C8C23×D6111yescharacteristic
1378C2×C8C23×D6111yescharacteristic
1379C2×C8C23×D6111yescharacteristic
1380C2×C8C23×D6111yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—611no—
1385C4⋊C4—611no—
1386C4⋊C4—611no—
1387C4⋊C4—611no—
1388C4⋊C4—611no—
1389C4⋊C4—611no—
1390C4⋊C4—611no—
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—1221no—
1405C4⋊C4—1221no—
1406C4⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1434C4⋊C4D4×D6111yescharacteristic
1435C4⋊C4C23×D6111yescharacteristic
1436C4⋊C4C23×D6111yescharacteristic
1437C4⋊C4C23×D6111yescharacteristic
1438C4⋊C4C23×D6111yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—611no—
1450C22⋊C4—611no—
1451C22⋊C4—1221no—
1452C22⋊C4—1221no—
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⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4D4×D6111yescharacteristic
1475C22⋊C4D4×D6111yescharacteristic
1476C42—21no—
1477C42—21no—
1478C42—611no—
1479C42—611no—
1480C42—611no—
1481C42—611no—
1482C42—611no—
1483C42—611no—
1484C42—1221no—
1485C42—1221no—
1486C42—1221no—
1487C42C23×D6111yescharacteristic
1488C42C23×D6111yescharacteristic
1489C23—24no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—81no—
1494C23—81no—
1495C23—1221no—
1496C23—1221no—
1497C23C2×D4×D6111yescharacteristic
1498Q8—21no—
1499Q8—21no—
1500Q8—81no—
1501Q8—1222no—
1502Q8—1222no—
1503Q8—4881no—
1504Q8—4881no—
1505Q8—4881no—
1506Q8—4881no—
1507Q8—4881no—
1508Q8—4881no—
1509Q8—2441no—
1510Q8—2441no—
1511Q8—2442no—
1512Q8—2442no—
1513D4—24no—
1514D4—21no—
1515D4—21no—
1516D4—21no—
1517D4—21no—
1518D4—81no—
1519D4—1221no—
1520D4—1221no—
1521D4—1221no—
1522D4—1221no—
1523D4—4881no—
1524D4—4881no—
1525D4—4881no—
1526D4—4881no—
1527D4—4881no—
1528D4—4881no—
1529D4—4881no—
1530D4—2442no—
1531D4#1451982412yes—
1532D4#1451982412yes—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—81no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—81no—
1545C2×C4—611no—
1546C2×C4—611no—
1547C2×C4—611no—
1548C2×C4—611no—
1549C2×C4—611no—
1550C2×C4—611no—
1551C2×C4—611no—
1552C2×C4—611no—
1553C2×C4—1222no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—1221no—
1558C2×C4—1221no—
1559C2×C4—1221no—
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—4881no—
1572C2×C4—4881no—
1573C2×C4—4881no—
1574C2×C4—2442no—
1575C2×C4—2442no—
1576C2×C4—2442no—
1577C2×C4—2441no—
1578C2×C4C2×D4×D6111yescharacteristic
1579C2×C4C2×D4×D6111yescharacteristic
1580C2×C4C2×D4×D6111yescharacteristic
1581C2×C4C2×D4×D6111yescharacteristic
1582C2×C4C2×D4×D6111yescharacteristic
1583C2×C4C24×D6111yescharacteristic
1584C8—21no—
1585C8—21no—
1586C8—21no—
1587C8—21no—
1588C8—1221no—
1589C8—1221no—
1590C8—1221no—
1591C8—1221no—
1592C22—21no—
1593C22—22no—
1594C22—22no—
1595C22—21no—
1596C22—21no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—84no—
1605C22—2441no—
1606C22—2441no—
1607C22—2441no—
1608C22—2441no—
1609C22—2441no—
1610C22—2441no—
1611C22C22×D4×D6111yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—612no—
1623C4—1221no—
1624C4—1221no—
1625C4—1221no—
1626C4—1221no—
1627C4—1221no—
1628C4—1221no—
1629C4—1221no—
1630C4—2441no—
1631C4—2441no—
1632C4—2441no—
1633C4—2441no—
1634C4—2441no—
1635C4—2441no—
1636C4C2×#1451982411yescharacteristic
1637C4C2×#1451982411yescharacteristic
1638C2—41no—
1639C2—42no—
1640C2—42no—
1641C2—81no—
1642C2—4881no—
1643C2—4881no—
1644C2#2145946611yescharacteristic
1645C2#576×D6111yescharacteristic
1646C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3118C2
socleC22×C61C23×D4
hypercenter#3118D61
hypocenterC61#61863
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #21460288C2semidirect
2. #21459617C2semidirect
3. #21458778C2semidirect
4. #21458772C2semidirect
5. #21458741C2semidirect
6. #21458713C2semidirect
7. #21458695C2semidirect
8. #21458686C2semidirect
9. #21458685C2semidirect
10. #21458669C2semidirect
11. #21458606C2semidirect
12. #21458573C2semidirect
13. #21458569C2semidirect
14. #21458527C2semidirect
15. #21458477C2semidirect
16. #21458474C2semidirect
17. #21458474C2semidirect
18. #21458452C2semidirect
19. #21457108C2semidirect
20. #21457096C2semidirect
21. #21457074C2semidirect
22. #21457070C2semidirect
23. #21457001C2semidirect
24. #21456953C2semidirect
25. #21456062C2semidirect
26. #21456056C2semidirect
27. #21456004C2semidirect
28. #21455867C2semidirect
29. #21455814C2semidirect
30. #21454918C2semidirect
31. C61×#3118C2semidirect
34. #16840497C22semidirect
35. #16840494C22semidirect
36. #16840494C22semidirect
37. #16840488C22semidirect
38. #16840473C22semidirect
45. #16840471C22semidirect
49. #16840433C22semidirect
53. #16840427C22semidirect
75. #16840171C22semidirect
76. #16840170C22semidirect
77. #16840169C22semidirect
78. #16840168C22semidirect
79. #16840166C22semidirect
80. #16840166C22semidirect
81. #16840165C22semidirect
82. #16840164C22semidirect
83. #16840163C22semidirect
84. #16840162C22semidirect
85. #16840162C22semidirect
86. #16840159C22semidirect
87. #16840127C22semidirect
88. #16840125C22semidirect
89. #16840123C22semidirect
90. #16840121C22semidirect
91. #16840118C22semidirect
92. #16840118C22semidirect
93. #16840118C22semidirect
94. #16840116C22semidirect
95. #16840109C22semidirect
96. #16840107C22semidirect
97. #16840107C22semidirect
98. #16840107C22semidirect
109. #16840071C22semidirect
110. #16840069C22semidirect
111. #16840065C22semidirect
115. #16840064C22semidirect
116. #16840064C22semidirect
117. #16840063C22semidirect
118. #16840063C22semidirect
121. #16840062C22semidirect
122. #16840061C22semidirect
123. #16840061C22semidirect
124. #16840061C22semidirect
126. #16840060C22semidirect
127. #16840057C22semidirect
128. #16840055C22semidirect
129. #16840055C22semidirect
130. #16840053C22semidirect
131. #16840051C22semidirect
133. #16840050C22semidirect
134. #16840045C22semidirect
135. #16840043C22semidirect
136. #16840042C22semidirect
137. #16840041C22semidirect
138. #16840041C22semidirect
139. #16840041C22semidirect
155. #16839891C22semidirect
156. #16839891C22semidirect
157. #16839890C22semidirect
158. #16839890C22semidirect
159. C8×Dic122C22semidirect
160. C8×Dic122C22semidirect
161. #16839886C22semidirect
162. #16839886C22semidirect
842. #3118D61semidirect
1026. C61#61863semidirect

Maximal subgroups

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

subgroupindex
#214602882
#214596172
#214587782
#214587722
#214587412
#214587132
#214586952
#214586862
#214586852
#214586692
#214586062
#214585732
#214585692
#214585272
#214584772
#214584742
#214584522
#214571082
#214570962
#214570742
#214570702
#214570012
#214569532
#214560622
#214560562
#214560042
#214558672
#214558142
#214549182
C61×#31182
#6186361