Finite Group Databasebeta

← #30570835

Subgroups — #30570835

Order 15616.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460227C211yesmaximal, characteristic, complemented
2#21459632C211yesmaximal, characteristic, complemented
3#21458743C211yesmaximal, characteristic, complemented
4#21458741C211yesmaximal, characteristic, complemented
5#21458730C211yesmaximal, characteristic, complemented
6#21458724C211yesmaximal, characteristic, complemented
7Q16×Dic122C211yesmaximal, characteristic, complemented
8#21458700C211yesmaximal, characteristic, complemented
9D8×Dic122C211yesmaximal, characteristic, complemented
10#21458669C211yesmaximal, characteristic, complemented
11#21458634C211yesmaximal, characteristic, complemented
12#21458628C211yesmaximal, characteristic, complemented
13#21458538C211yesmaximal, characteristic, complemented
14#21458532C211yesmaximal, characteristic, complemented
15#21458505C211yesmaximal, characteristic, complemented
16#21458499C211yesmaximal, characteristic, complemented
17#21458480C211yesmaximal, characteristic, complemented
18#21458474C211yesmaximal, characteristic, complemented
19#21457106C211yesmaximal, characteristic, complemented
20#21457104C211yesmaximal, characteristic, complemented
21#21457098C211yesmaximal, characteristic, complemented
22#21457096C211yesmaximal, characteristic, complemented
23#21456968C211yesmaximal, characteristic, complemented
24#21456938C211yesmaximal, characteristic, complemented
25#21456082C211yesmaximal, characteristic, complemented
26#21456081C211yesmaximal, characteristic, complemented
27#21456074C211yesmaximal, characteristic, complemented
28#21455883C211yesmaximal, characteristic, complemented
29#21455872C211yesmaximal, characteristic
30#21454918C211yesmaximal, characteristic, complemented
31C61×#3124C211yesmaximal, characteristic, complemented
32#16840514—21no—
33#16840513—21no—
34#16840495C2211yescharacteristic
35#16840494C2211yescharacteristic
36Q8×Dic122C2211yescharacteristic
37Q8×Dic122C2211yescharacteristic
38Q8×Dic122C2211yescharacteristic
39#16840492C2211yescharacteristic
40#16840488C2211yescharacteristic
41#16840488C2211yescharacteristic
42#16840484C2211yescharacteristic
43#16840481C2211yescharacteristic
44#16840479—21no—
45#16840471—21no—
46#16840471—21no—
47#16840471C2211yescharacteristic
48#16840471C2211yescharacteristic
49D4×Dic122—21no—
50D4×Dic122—21no—
51D4×Dic122C2211yescharacteristic
52D4×Dic122C2211yescharacteristic
53D4×Dic122C2211yescharacteristic
54#16840427C2211yescharacteristic
55#16840425—21no—
56#16840393—21no—
57#16840393C2211yescharacteristic
58#16840390—21no—
59#16840390C2211yescharacteristic
60#16840385C2211yescharacteristic
61#16840383C2211yescharacteristic
62#16840380—21no—
63#16840379C2211yescharacteristic
64#16840376—21no—
65#16840334—21no—
66#16840332—21no—
67#16840315—21no—
68#16840315C2211yescharacteristic
69#16840314C2211yescharacteristic
70#16840307C2211yescharacteristic
71C2×#14519776—21no—
72C2×#14519776C2211yescharacteristic
73#16840245C2211yescharacteristic
74#41×Dic61C2211yescharacteristic
75#16840171C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840168C2211yescharacteristic
79#16840167C2211yescharacteristic
80#16840166C2211yescharacteristic
81#16840166C2211yescharacteristic
82#16840166C2211yescharacteristic
83#16840166C2211yescharacteristic
84#16840166C2211yescharacteristic
85#16840166C2211yescharacteristic
86#16840165C2211yescharacteristic
87#16840123C2211yescharacteristic
88#16840122C2211yescharacteristic
89#16840121C2211yescharacteristic
90#16840120C2211yescharacteristic
91#16840118C2211yescharacteristic
92#16840117C2211yescharacteristic
93#16840116C2211yescharacteristic
94#16840115C2211yescharacteristic
95#16840111C2211yescharacteristic
96#16840111C2211yescharacteristic
97#16840107C2211yescharacteristic
98#16840107C2211yescharacteristic
99#16840104C2211yescharacteristic
100#16840100C2211yescharacteristic
101#16840098C2211yescharacteristic
102#16840097C2211yescharacteristic
103#16840095C2211yescharacteristic
104#16840087C2211yescharacteristic
105#16840083C2211yescharacteristic
106#16840076C2211yescharacteristic
107#16840075C2211yescharacteristic
108#16840073C2211yescharacteristic
109#16840070C2211yescharacteristic
110#16840069C2211yescharacteristic
111#16840068C2211yescharacteristic
112#16840067C2211yescharacteristic
113#16840065C2211yescharacteristic
114#16840064C2211yescharacteristic
115#16840063C2211yescharacteristic
116#16840062C2211yescharacteristic
117#16840058C2211yescharacteristic
118#16840057C2211yescharacteristic
119#16840057C2211yescharacteristic
120#16840056C2211yescharacteristic
121#16840056C2211yescharacteristic
122#16840056C2211yescharacteristic
123#16840055C2211yescharacteristic
124#16840055C2211yescharacteristic
125#16840055C2211yescharacteristic
126#16840055C2211yescharacteristic
127#16840055C2211yescharacteristic
128#16840055C2211yescharacteristic
129#16840050C2211yescharacteristic
130#16840045C2211yescharacteristic
131#16840043C2211yescharacteristic
132#16840042C2211yescharacteristic
133#16840042C2211yescharacteristic
134#16840041C2211yescharacteristic
135#16840041C2211yescharacteristic
136#16840041C2211yescharacteristic
137#16840040C2211yescharacteristic
138#16840040C2211yescharacteristic
139#16840040C2211yescharacteristic
140#16840040C2211yescharacteristic
141#16840040C2211yescharacteristic
142#16840040C2211yescharacteristic
143#16839986C2211yescharacteristic
144#16839984C2211yescharacteristic
145#16839982C2211yescharacteristic
146#16839979C2211yescharacteristic
147#16839977C2211yescharacteristic
148#16839975C2211yescharacteristic
149#16839970C2211yescharacteristic
150#16839965C2211yescharacteristic
151#16839960C2211yescharacteristic
152#16839955C2211yescharacteristic
153#16839924C2211yescharacteristic
154#16839907C2211yescharacteristic
155#16839891C2211yescharacteristic
156#16839891C2211yescharacteristic
157#16839890C2211yescharacteristic
158#16839890C2211yescharacteristic
159C8×Dic122C2211yescharacteristic
160C8×Dic122C2211yescharacteristic
161#16839886C2211yescharacteristic
162#16839886C2211yescharacteristic
163#16839865C2211yescharacteristic
164#16839863C2211yescharacteristic
165#16839863C2211yescharacteristic
166#16839862C2211yescharacteristic
167#16839860C2211yescharacteristic
168#16839859C2211yescharacteristic
169Q16×Dic61C2211yescharacteristic
170Q16×Dic61C2211yescharacteristic
171C4×#11758202C2211yescharacteristic
172#16839854C2211yescharacteristic
173#16839854C2211yescharacteristic
174#16839853C2211yescharacteristic
175SD16×Dic61C2211yescharacteristic
176SD16×Dic61C2211yescharacteristic
177#16839847C2211yescharacteristic
178D8×Dic61C2211yescharacteristic
179D8×Dic61C2211yescharacteristic
180C4×#11758199C2211yescharacteristic
181#16839842C2211yescharacteristic
182#16839842C2211yescharacteristic
183#16839823C2211yescharacteristic
184#16839820C2211yescharacteristic
185#16839820C2211yescharacteristic
186#16839812C2211yescharacteristic
187#16839812C2211yescharacteristic
188C61×#542C2211yescharacteristic
189C61×#520C2211yescharacteristic
190C61×#484C2211yescharacteristic
191C61×#480C2211yescharacteristic
192C61×#477C2211yescharacteristic
193C61×#474C2211yescharacteristic
194C61×#464C2211yescharacteristic
195C61×#463C2211yescharacteristic
196C61×#452C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#440C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C4×Q16×C61C2211yescharacteristic
201C4×D8×C61C2211yescharacteristic
202C61×#433C2211yescharacteristic
203C2×#11758224—21no—
204C22×Dic122—21no—
205C22×Dic122—21no—
206C22×Dic122—21no—
207C22×Dic122—21no—
208C2×Q8×D61—21no—
209C2×#11758202C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758201C2311yescharacteristic
212C2×#11758199C2311yescharacteristic
213#14519777—21no—
214#14519777—21no—
215#14519777—21no—
216#14519777C2311yescharacteristic
217#14519777C2311yescharacteristic
218#14519777C2311yescharacteristic
219#14519776—21no—
220#14519776—21no—
221#14519776—21no—
222#14519776—21no—
223#14519776—21no—
224#14519776—21no—
225#14519776—21no—
226#14519776—21no—
227#14519776—21no—
228#14519776—21no—
229#14519776—21no—
230#14519776—21no—
231#14519776—21no—
232#14519776D411yescharacteristic
233#14519776D411yescharacteristic
234#14519776C2311yescharacteristic
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519776C2311yescharacteristic
241#14519776C2311yescharacteristic
242#14519776C2311yescharacteristic
243#14519776C2311yescharacteristic
244#14519775—21no—
245#14519775—21no—
246#14519775C2311yescharacteristic
247#14519773C2311yescharacteristic
248#14519772—21no—
249#14519772—21no—
250#14519772—21no—
251#14519771—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770—21no—
255#14519769—21no—
256#14519769—21no—
257#14519769C2311yescharacteristic
258#14519769C2311yescharacteristic
259#14519768—21no—
260#14519768—21no—
261#14519768—21no—
262#14519768—21no—
263#14519768D411yescharacteristic
264#14519768D411yescharacteristic
265#14519768C2311yescharacteristic
266#14519768C2311yescharacteristic
267#14519767—21no—
268#14519766C2311yescharacteristic
269#14519765C2311yescharacteristic
270#14519764—21no—
271#14519764C2311yescharacteristic
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519761—21no—
278#14519760—21no—
279#14519759—21no—
280#14519759—21no—
281#14519759—21no—
282#14519759—21no—
283#14519758—21no—
284#14519757—21no—
285#14519756—21no—
286#14519756—21no—
287#14519756—21no—
288#14519756—21no—
289#14519756—21no—
290#14519756—21no—
291#14519756—21no—
292#14519756C2311yescharacteristic
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519755—21no—
297#14519754—21no—
298#14519754—21no—
299#14519754—21no—
300#14519754—21no—
301#14519754—21no—
302#14519754—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519754—21no—
308#14519754—21no—
309#14519754—21no—
310#14519754—21no—
311#14519754—21no—
312#14519754D411yescharacteristic
313#14519754D411yescharacteristic
314#14519754D411yescharacteristic
315#14519754D411yescharacteristic
316#14519753—21no—
317#14519751C2311yescharacteristic
318#14519749—21no—
319Q8×Dic61C2311yescharacteristic
320Q8×Dic61C2311yescharacteristic
321Q8×Dic61C2311yescharacteristic
322Q8×Dic61C2311yescharacteristic
323Q8×Dic61C2311yescharacteristic
324Q8×Dic61C2311yescharacteristic
325C4×Dic122—21no—
326C4×Dic122—21no—
327C4×Dic122—21no—
328C4×Dic122—21no—
329C4×Dic122—21no—
330C4×Dic122C2311yescharacteristic
331C4×Dic122C2311yescharacteristic
332C4×Dic122C2311yescharacteristic
333C4×Dic122C2311yescharacteristic
334C4×Dic122C2311yescharacteristic
335#14519742—21no—
336#14519742—21no—
337#14519742C2311yescharacteristic
338#14519742C2311yescharacteristic
339C4×D244C2311yescharacteristic
340D4×Dic61—21no—
341D4×Dic61—21no—
342D4×Dic61—21no—
343D4×Dic61—21no—
344D4×Dic61C2311yescharacteristic
345D4×Dic61C2311yescharacteristic
346D4×Dic61C2311yescharacteristic
347D4×Dic61C2311yescharacteristic
348D4×Dic61C2311yescharacteristic
349D4×Dic61C2311yescharacteristic
350#14519739C2311yescharacteristic
351#14519739C2311yescharacteristic
352C4×C22⋊D61—21no—
353#14519737—21no—
354#14519737—21no—
355#14519736—21no—
356#14519736—21no—
357#14519736C2311yescharacteristic
358#14519736C2311yescharacteristic
359#14519734—21no—
360#14519733—21no—
361#14519733—21no—
362C2×C4⋊Dic61—21no—
363C2×C4⋊Dic61C2311yescharacteristic
364C2×#11758196—21no—
365C2×#11758196—21no—
366C2×#11758196—21no—
367C2×C4×Dic61—21no—
368C2×C4×Dic61C2311yescharacteristic
369#14519711C2311yescharacteristic
370#14519711C2311yescharacteristic
371#14519711C2311yescharacteristic
372#14519711C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
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#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
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
435C2×#41×C61C2311yescharacteristic
436C2×Q16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×SD16×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×Q8×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×D4×C61—21no—
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456#117×C61—21no—
457#117×C61C2311yescharacteristic
458C2×C4⋊C4×C61—21no—
459C2×C4⋊C4×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478#41×C61—22no—
479#41×C61—22no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2411yescharacteristic
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61C2411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61C2411yescharacteristic
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C22×Dic61—21no—
497C22×Dic61—21no—
498C22×Dic61—21no—
499C22×Dic61—21no—
500C22×Dic61—21no—
501C22×Dic61—21no—
502C22×Dic61—21no—
503C22×Dic61C2×D411yescharacteristic
504C22×Dic61C2×D411yescharacteristic
505Q8×D61—82no—
506#11758224—82no—
507C2×D244C2411yescharacteristic
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×Dic122—21no—
512C2×Dic122—21no—
513C2×Dic122—21no—
514C2×Dic122—21no—
515C2×Dic122—21no—
516C2×Dic122—21no—
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122—21no—
521C2×Dic122—21no—
522C2×Dic122—21no—
523C2×Dic122—21no—
524C2×Dic122—82no—
525C2×Dic122—82no—
526C2×Dic122—82no—
527C2×Dic122—82no—
528C2×Dic122C2×D411yescharacteristic
529C2×Dic122C2×D411yescharacteristic
530C2×Dic122C2×D411yescharacteristic
531C2×Dic122C2×D411yescharacteristic
532C2×Dic122C2411yescharacteristic
533Q16×C61—22no—
534SD16×C61—22no—
535SD16×C61—22no—
536D8×C61—22no—
537C2×C8×C61C2411yescharacteristic
538C2×C8×C61C2411yescharacteristic
539C2×C8×C61C2411yescharacteristic
540C2×C8×C61C2411yescharacteristic
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61—21no—
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61C2×D411yescharacteristic
548C4⋊C4×C61C2×D411yescharacteristic
549C4⋊C4×C61C2411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C4⋊C4×C61C2411yescharacteristic
552C4⋊C4×C61C2411yescharacteristic
553C22⋊C4×C61—21no—
554C22⋊C4×C61—21no—
555C22⋊C4×C61—21no—
556C22⋊C4×C61—21no—
557C22⋊C4×C61—21no—
558C22⋊C4×C61—21no—
559C22⋊C4×C61—21no—
560C22⋊C4×C61C2×D411yescharacteristic
561C22⋊C4×C61C2×D411yescharacteristic
562C42×C61—21no—
563C42×C61—21no—
564C42×C61—21no—
565C42×C61C2411yescharacteristic
566C42×C61C2411yescharacteristic
567C22⋊Dic61—21no—
568C22⋊Dic61—21no—
569C22⋊Dic61—21no—
570C22⋊Dic61—21no—
571C22⋊Dic61—21no—
572C22⋊Dic61—21no—
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61C2×D411yescharacteristic
578C22⋊Dic61C2×D411yescharacteristic
579#11758202—22no—
580#11758201—22no—
581#11758200—22no—
582#11758199—22no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591C4⋊Dic61—21no—
592C4⋊Dic61—21no—
593C4⋊Dic61—21no—
594C4⋊Dic61—21no—
595C4⋊Dic61—21no—
596C4⋊Dic61—21no—
597C4⋊Dic61—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61C2×D411yescharacteristic
604C4⋊Dic61C2×D411yescharacteristic
605C4⋊Dic61C2×D411yescharacteristic
606C4⋊Dic61C2×D411yescharacteristic
607C4⋊Dic61C2×D411yescharacteristic
608C4⋊Dic61C2×D411yescharacteristic
609C4⋊Dic61C2411yescharacteristic
610C4⋊Dic61C2411yescharacteristic
611C4⋊Dic61C2411yescharacteristic
612C4⋊Dic61C2411yescharacteristic
613C4⋊Dic61C2411yescharacteristic
614C4⋊Dic61C2411yescharacteristic
615#11758196—21no—
616#11758196—21no—
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×Dic61—21no—
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—21no—
666C23×C61—21no—
667C23×C61C22×D411yescharacteristic
668C22×D61—21no—
669Q8×C61—21no—
670Q8×C61—21no—
671Q8×C61—21no—
672Q8×C61—81no—
673Q8×C612−1+412yes—
674D4×C61—24no—
675D4×C61—21no—
676D4×C61—21no—
677D4×C61—21no—
678D4×C61—81no—
679D4×C612−1+412yes—
680C2×C4×C61—24no—
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×C61—81no—
693C2×C4×C61C22×D411yescharacteristic
694C2×C4×C61C22×D411yescharacteristic
695C2×C4×C61C22×D411yescharacteristic
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C2511yescharacteristic
699C22⋊D61—42no—
700C22⋊D61—81no—
701C22⋊D61—81no—
702C2×Dic61—22no—
703C2×Dic61—22no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—42no—
712C2×Dic61—42no—
713C2×Dic61—42no—
714C2×Dic61—81no—
715C2×Dic61—81no—
716C2×Dic61—81no—
717C2×Dic61—81no—
718C2×Dic61C22×D411yescharacteristic
719C2×Dic61C22×D411yescharacteristic
720C2×Dic61C22×D411yescharacteristic
721C2×Dic61C22×D411yescharacteristic
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724C2×Dic61C22×D411yescharacteristic
725C2×Dic61C22×D411yescharacteristic
726D244—21no—
727D244—21no—
728C4×D61—42no—
729C4×D61—81no—
730C4×D61—81no—
731Dic122—22no—
732Dic122—22no—
733Dic122—22no—
734Dic122—22no—
735Dic122—21no—
736Dic122—21no—
737Dic122—42no—
738Dic122—42no—
739Dic122—42no—
740Dic122—81no—
741Dic122—81no—
742Dic122—81no—
743Dic122—81no—
744Dic122—81no—
745Dic122—81no—
746Dic122—81no—
747Dic122—81no—
748Dic122—81no—
749Dic122—81no—
750C8×C61—21no—
751C8×C61—21no—
752C8×C61—21no—
753C8×C61—21no—
754#92418—21no—
755#92418—21no—
756#92418—21no—
757#92418—21no—
758#61870—611nomaximal, Sylow
759C22×C61—21no—
760C22×C61—22no—
761C22×C61—21no—
762C22×C61—21no—
763C22×C61—41no—
764C22×C61—41no—
765C22×C61—41no—
766C22×C61—41no—
767C22×C61—41no—
768C22×C61C23×D411yescharacteristic
769C2×D61—41no—
770C2×D61—41no—
771C2×D61—41no—
772C4×C61—21no—
773C4×C61—22no—
774C4×C61—21no—
775C4×C61—21no—
776C4×C61—21no—
777C4×C61—21no—
778C4×C61—41no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61C2×2−1+411yescharacteristic
784C4×C61C2×2−1+411yescharacteristic
785Dic61—21no—
786Dic61—21no—
787Dic61—21no—
788Dic61—21no—
789Dic61—21no—
790Dic61—21no—
791Dic61—41no—
792Dic61—41no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61#57612yes—
799Dic61#57812yes—
800#3550—611no—
801#3503—611no—
802#3386—611no—
803#3386—611no—
804#3385—611no—
805#3385—611no—
806Q8×Q16—611no—
807Q8×Q16—611no—
808Q8×D8—611no—
809Q8×D8—611no—
810#3375—611no—
811#3375—611no—
812#3367—611no—
813#3367—611no—
814#3364—611no—
815#3364—611no—
816#3361—611no—
817#3361—611no—
818#3243—611no—
819#3243—611no—
820#3243—611no—
821#3243—611no—
822#3230—611no—
823#3226—611no—
824#3124—611no—
825#3124—611no—
826#3124—611no—
827#3124D6111yescharacteristic, complemented
828#3107—611no—
829#3106—611no—
830#2986—611no—
831C2×C61—41no—
832C2×C61—42no—
833C2×C61—81no—
834C2×C61#348611yescharacteristic
835C2×C61C2×#57611yescharacteristic
836C2×C61C2×#57811yescharacteristic
837D61—81no—
838#563—1221no—
839#563—1221no—
840#559—611no—
841#559—611no—
842Q82—611no—
843Q82—611no—
844Q82—611no—
845Q82—611no—
846#557—611no—
847#557—611no—
848#556—611no—
849#556—611no—
850#556—1221no—
851#554—611no—
852#554—611no—
853#554—1221no—
854#554—1221no—
855D4×Q8—611no—
856D4×Q8—611no—
857D4×Q8—611no—
858D4×Q8—611no—
859D4×Q8—1221no—
860D4×Q8—1221no—
861D4×Q8—1221no—
862#544—611no—
863#544—611no—
864#544—1221no—
865#544—1221no—
866#542—611no—
867#542—611no—
868#542—611no—
869#542—1221no—
870#542—1221no—
871#542C2×D6111yescharacteristic
872#536—1221no—
873#536—1221no—
874#533—611no—
875#533—611no—
876#533—1221no—
877#532—611no—
878C2×C4⋊Q8—611no—
879C2×C4⋊Q8—1221no—
880#520—611no—
881#520C2×D6111yescharacteristic
882C4×#41—611no—
883#501—611no—
884#501—611no—
885#501—611no—
886#501—611no—
887#500—611no—
888#500—611no—
889#500—611no—
890#500—611no—
891#500—611no—
892#500—611no—
893#500—611no—
894#500—611no—
895#489—611no—
896#489—611no—
897#489—611no—
898#489—611no—
899#488—611no—
900#488—611no—
901#488—611no—
902#488—611no—
903#487—611no—
904#487—611no—
905#486—611no—
906#486—611no—
907#485—611no—
908#485—611no—
909#484—611no—
910#484—611no—
911#484—611no—
912#484C2×D6111yescharacteristic
913#482—611no—
914#482—611no—
915#480—611no—
916#480—611no—
917#480—611no—
918#480C2×D6111yescharacteristic
919#479—611no—
920#479—611no—
921#479—611no—
922#479—611no—
923#478—611no—
924#478—611no—
925#478—611no—
926#478—611no—
927#477—611no—
928#477—611no—
929#477—611no—
930#477—611no—
931#477—611no—
932#477—611no—
933#477—611no—
934#477—611no—
935#477—611no—
936#477—611no—
937#477—611no—
938#477—611no—
939#477C2×D6111yescharacteristic
940#476—611no—
941#475—611no—
942#474—611no—
943#474—611no—
944#474—611no—
945#474—611no—
946#474—611no—
947#474—611no—
948#474—611no—
949#474—611no—
950#474—611no—
951#474—611no—
952#474—611no—
953#474—611no—
954#474C2×D6111yescharacteristic
955#464—611no—
956#464—611no—
957#464—611no—
958#464C2×D6111yescharacteristic
959#463—611no—
960#463—611no—
961#463—611no—
962#463C2×D6111yescharacteristic
963#462—611no—
964#461—611no—
965#460—611no—
966#459—611no—
967#452—611no—
968#452C2×D6111yescharacteristic
969#449—611no—
970#449C2×D6111yescharacteristic
971#446—611no—
972#446—611no—
973#446—611no—
974#446—611no—
975C8×Q8—611no—
976C8×Q8—611no—
977C8×Q8—611no—
978C8×Q8—611no—
979#440—611no—
980#440—611no—
981#440—611no—
982#440—611no—
983#440—611no—
984#440—611no—
985#440C2×D6111yescharacteristic
986#440C2×D6111yescharacteristic
987C4×Q16—611no—
988C4×Q16—611no—
989C4×Q16—611no—
990C4×Q16—611no—
991C4×Q16—611no—
992C4×Q16C2×D6111yescharacteristic
993C4×SD16—611no—
994C4×SD16—611no—
995C4×SD16—611no—
996C4×SD16—611no—
997C4×D8—611no—
998C4×D8—611no—
999C4×D8—611no—
1000C4×D8—611no—
1001C4×D8—611no—
1002C4×D8C2×D6111yescharacteristic
1003#433—611no—
1004#433—611no—
1005#433—611no—
1006#433C2×D6111yescharacteristic
1007#431—611no—
1008#431—611no—
1009C61#6187011yescharacteristic, complemented, Sylow
1010C2×#41—1221no—
1011C2×#41C22×D6111yescharacteristic
1012C22×Q8—1221no—
1013C22×Q8—1221no—
1014C22×Q8—1221no—
1015C22×Q8—1221no—
1016C22×Q8—1221no—
1017C2×Q16—611no—
1018C2×Q16C22×D6111yescharacteristic
1019C2×SD16—611no—
1020C2×SD16—611no—
1021C2×SD16C22×D6111yescharacteristic
1022C2×SD16C22×D6111yescharacteristic
1023C2×D8—611no—
1024C2×D8C22×D6111yescharacteristic
1025C4⋊Q8—611no—
1026C4⋊Q8—611no—
1027C4⋊Q8—611no—
1028C4⋊Q8—611no—
1029C4⋊Q8—611no—
1030C4⋊Q8—611no—
1031C4⋊Q8—611no—
1032C4⋊Q8—611no—
1033C4⋊Q8—611no—
1034C4⋊Q8—611no—
1035C4⋊Q8—611no—
1036C4⋊Q8—611no—
1037C4⋊Q8—611no—
1038C4⋊Q8—611no—
1039C4⋊Q8—611no—
1040C4⋊Q8—611no—
1041C4⋊Q8—1221no—
1042C4⋊Q8—1221no—
1043C4⋊Q8—1221no—
1044C4⋊Q8—1221no—
1045C4⋊Q8—1221no—
1046C4⋊Q8—1221no—
1047C4⋊Q8—1221no—
1048C4⋊Q8—1221no—
1049C4⋊Q8—1221no—
1050C4⋊Q8—1221no—
1051C4⋊Q8—1221no—
1052C4⋊Q8—1221no—
1053C4⋊Q8—1221no—
1054C4⋊Q8—1221no—
1055C4⋊Q8—1221no—
1056C4⋊Q8—1221no—
1057C4⋊Q8—1221no—
1058C4⋊Q8—1221no—
1059C4⋊Q8C22×D6111yescharacteristic
1060#127—611no—
1061#126—21no—
1062#126—1221no—
1063#126—1221no—
1064#126—1221no—
1065#126—1221no—
1066#126—1221no—
1067#126—1221no—
1068#126—1221no—
1069#125—611no—
1070#125—611no—
1071#125—611no—
1072#125—611no—
1073#125—611no—
1074#125—611no—
1075#125—1221no—
1076#125—1221no—
1077#125—1221no—
1078#125—1221no—
1079#125—1221no—
1080#125—1221no—
1081#125—1221no—
1082#124—21no—
1083#124—611no—
1084#124—611no—
1085#124—611no—
1086#124—1221no—
1087#124—1221no—
1088#124—1221no—
1089#124—1221no—
1090#124—1221no—
1091#124—1221no—
1092#124C22×D6111yescharacteristic
1093#123—21no—
1094#123—1221no—
1095#123—1221no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099#123—1221no—
1100#123—1221no—
1101C22⋊Q8—21no—
1102C22⋊Q8—611no—
1103C22⋊Q8—611no—
1104C22⋊Q8—611no—
1105C22⋊Q8—611no—
1106C22⋊Q8—611no—
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⋊Q8C22×D6111yescharacteristic
1136#121—611no—
1137#121—1221no—
1138#121C22×D6111yescharacteristic
1139C4×Q8—611no—
1140C4×Q8—611no—
1141C4×Q8—611no—
1142C4×Q8—611no—
1143C4×Q8—611no—
1144C4×Q8—611no—
1145C4×Q8—611no—
1146C4×Q8—611no—
1147C4×Q8—611no—
1148C4×Q8—611no—
1149C4×Q8—611no—
1150C4×Q8—611no—
1151C4×Q8—611no—
1152C4×Q8—1221no—
1153C4×Q8—1221no—
1154C4×Q8—1221no—
1155C4×Q8—1221no—
1156C4×Q8—1221no—
1157C4×Q8—1221no—
1158C4×Q8—1221no—
1159C4×Q8C22×D6111yescharacteristic
1160C4×Q8C22×D6111yescharacteristic
1161C4×Q8C22×D6111yescharacteristic
1162C4×D4—21no—
1163C4×D4—21no—
1164C4×D4—611no—
1165C4×D4—611no—
1166C4×D4—611no—
1167C4×D4—611no—
1168C4×D4—611no—
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—1221no—
1174C4×D4—1221no—
1175C4×D4—1221no—
1176C4×D4—1221no—
1177C4×D4—1221no—
1178C4×D4—1221no—
1179C4×D4—1221no—
1180C4×D4C22×D6111yescharacteristic
1181C4×D4C22×D6111yescharacteristic
1182C4×D4C22×D6111yescharacteristic
1183#117—21no—
1184#117—611no—
1185#117—611no—
1186#117—1221no—
1187#117—1221no—
1188#117—1221no—
1189#117—1221no—
1190#117—1221no—
1191#117C22×D6111yescharacteristic
1192C2×C4⋊C4—21no—
1193C2×C4⋊C4—611no—
1194C2×C4⋊C4—1221no—
1195C2×C4⋊C4—1221no—
1196C2×C4⋊C4—1221no—
1197C2×C4⋊C4—1221no—
1198C2×C4⋊C4C22×D6111yescharacteristic
1199C2×C42—611no—
1200C2×C42—1221no—
1201#107—611no—
1202#107—611no—
1203#107—611no—
1204#107—611no—
1205#107—611no—
1206#107—611no—
1207#107—611no—
1208#107—611no—
1209#107—611no—
1210#107—611no—
1211#107—611no—
1212#107—611no—
1213#107—611no—
1214#107—611no—
1215#107—611no—
1216#107—611no—
1217#107C22×D6111yescharacteristic
1218#107C22×D6111yescharacteristic
1219#107C22×D6111yescharacteristic
1220#107C22×D6111yescharacteristic
1221#106—611no—
1222#106—611no—
1223#106—611no—
1224#106—611no—
1225C4⋊C8—611no—
1226C4⋊C8—611no—
1227C4⋊C8—611no—
1228C4⋊C8—611no—
1229C4⋊C8—611no—
1230C4⋊C8—611no—
1231C4⋊C8—611no—
1232C4⋊C8—611no—
1233C4⋊C8—611no—
1234C4⋊C8—611no—
1235C4⋊C8C22×D6111yescharacteristic
1236C4⋊C8C22×D6111yescharacteristic
1237#103—611no—
1238#103—611no—
1239#103—611no—
1240#103—611no—
1241#103—611no—
1242#103—611no—
1243#103—611no—
1244#103—611no—
1245#103—611no—
1246#103—611no—
1247#103—611no—
1248#103—611no—
1249#103C22×D6111yescharacteristic
1250#103C22×D6111yescharacteristic
1251#103C22×D6111yescharacteristic
1252#103C22×D6111yescharacteristic
1253#102—611no—
1254#102—611no—
1255#102—611no—
1256#102—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#102C22×D6111yescharacteristic
1266#102C22×D6111yescharacteristic
1267#102C22×D6111yescharacteristic
1268#102C22×D6111yescharacteristic
1269C22⋊C8—611no—
1270C22⋊C8—611no—
1271C22⋊C8C22×D6111yescharacteristic
1272C22⋊C8C22×D6111yescharacteristic
1273#97—611no—
1274#97—611no—
1275#97—611no—
1276#97C22×D6111yescharacteristic
1277C4×C8—611no—
1278C4×C8—611no—
1279C4×C8—611no—
1280C4×C8—611no—
1281C4×C8—611no—
1282C4×C8—611no—
1283C4×C8—611no—
1284C4×C8C22×D6111yescharacteristic
1285#41—22no—
1286#41—22no—
1287#41—4882no—
1288C2×Q8—21no—
1289C2×Q8—611no—
1290C2×Q8—611no—
1291C2×Q8—611no—
1292C2×Q8—611no—
1293C2×Q8—611no—
1294C2×Q8—1221no—
1295C2×Q8—1221no—
1296C2×Q8—1221no—
1297C2×Q8—1221no—
1298C2×Q8—1221no—
1299C2×Q8—1221no—
1300C2×Q8—1221no—
1301C2×Q8—1221no—
1302C2×Q8—1221no—
1303C2×Q8—1221no—
1304C2×Q8—1221no—
1305C2×Q8—1221no—
1306C2×Q8—1221no—
1307C2×Q8—4882no—
1308C2×Q8—4882no—
1309C2×Q8—4882no—
1310C2×Q8—4882no—
1311C2×Q8—4882no—
1312C2×Q8C23×D6111yescharacteristic
1313C2×Q8C23×D6111yescharacteristic
1314C2×D4—21no—
1315C2×D4—21no—
1316C2×D4—611no—
1317C2×D4—1221no—
1318C2×D4—1221no—
1319C2×D4—1221no—
1320C2×D4C23×D6111yescharacteristic
1321C2×D4C23×D6111yescharacteristic
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—611no—
1328C22×C4—611no—
1329C22×C4—1221no—
1330C22×C4—1221no—
1331C22×C4—1221no—
1332C22×C4—1221no—
1333C22×C4—1221no—
1334C22×C4—1221no—
1335C22×C4—1221no—
1336C22×C4—1221no—
1337C22×C4—1221no—
1338C22×C4—1221no—
1339C22×C4C23×D6111yescharacteristic
1340Q16—22no—
1341Q16—1222no—
1342SD16—22no—
1343SD16—22no—
1344SD16—1222no—
1345SD16—1222no—
1346D8—22no—
1347D8—1222no—
1348C2×C8—611no—
1349C2×C8—611no—
1350C2×C8—611no—
1351C2×C8—611no—
1352C2×C8C23×D6111yescharacteristic
1353C2×C8C23×D6111yescharacteristic
1354C2×C8C23×D6111yescharacteristic
1355C2×C8C23×D6111yescharacteristic
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—611no—
1363C4⋊C4—611no—
1364C4⋊C4—611no—
1365C4⋊C4—611no—
1366C4⋊C4—611no—
1367C4⋊C4—611no—
1368C4⋊C4—611no—
1369C4⋊C4—611no—
1370C4⋊C4—611no—
1371C4⋊C4—611no—
1372C4⋊C4—611no—
1373C4⋊C4—611no—
1374C4⋊C4—611no—
1375C4⋊C4—611no—
1376C4⋊C4—611no—
1377C4⋊C4—611no—
1378C4⋊C4—611no—
1379C4⋊C4—611no—
1380C4⋊C4—611no—
1381C4⋊C4—611no—
1382C4⋊C4—1221no—
1383C4⋊C4—1221no—
1384C4⋊C4—1221no—
1385C4⋊C4—1221no—
1386C4⋊C4—1221no—
1387C4⋊C4—1221no—
1388C4⋊C4—1221no—
1389C4⋊C4—1221no—
1390C4⋊C4—1221no—
1391C4⋊C4—1221no—
1392C4⋊C4—1221no—
1393C4⋊C4—1221no—
1394C4⋊C4—1221no—
1395C4⋊C4—1221no—
1396C4⋊C4—1221no—
1397C4⋊C4—1221no—
1398C4⋊C4—1221no—
1399C4⋊C4—1221no—
1400C4⋊C4—1221no—
1401C4⋊C4—1221no—
1402C4⋊C4—1221no—
1403C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1417C4⋊C4D4×D6111yescharacteristic
1418C4⋊C4C23×D6111yescharacteristic
1419C4⋊C4C23×D6111yescharacteristic
1420C4⋊C4C23×D6111yescharacteristic
1421C4⋊C4C23×D6111yescharacteristic
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—611no—
1430C22⋊C4—611no—
1431C22⋊C4—1221no—
1432C22⋊C4—1221no—
1433C22⋊C4—1221no—
1434C22⋊C4—1221no—
1435C22⋊C4—1221no—
1436C22⋊C4—1221no—
1437C22⋊C4—1221no—
1438C22⋊C4—1221no—
1439C22⋊C4—1221no—
1440C22⋊C4—1221no—
1441C22⋊C4—1221no—
1442C22⋊C4—1221no—
1443C22⋊C4—1221no—
1444C22⋊C4—1221no—
1445C22⋊C4—1221no—
1446C22⋊C4—1221no—
1447C22⋊C4—1221no—
1448C22⋊C4—1221no—
1449C22⋊C4D4×D6111yescharacteristic
1450C22⋊C4D4×D6111yescharacteristic
1451C42—21no—
1452C42—21no—
1453C42—21no—
1454C42—611no—
1455C42—611no—
1456C42—611no—
1457C42—611no—
1458C42—611no—
1459C42—611no—
1460C42—1221no—
1461C42—1221no—
1462C42—1221no—
1463C42—1221no—
1464C42—1221no—
1465C42—1221no—
1466C42—1221no—
1467C42—1221no—
1468C42—1221no—
1469C42—1221no—
1470C42C23×D6111yescharacteristic
1471C42C23×D6111yescharacteristic
1472C23—21no—
1473C23—21no—
1474C23—1221no—
1475C23C2×D4×D6111yescharacteristic
1476Q8—21no—
1477Q8—21no—
1478Q8—21no—
1479Q8—81no—
1480Q8—1222no—
1481Q8—1222no—
1482Q8—1222no—
1483Q8—1222no—
1484Q8—1221no—
1485Q8—1221no—
1486Q8—4881no—
1487Q8—4881no—
1488Q8—4881no—
1489Q8—4881no—
1490Q8—4881no—
1491Q8—4881no—
1492Q8—4881no—
1493Q8—4881no—
1494Q8—4881no—
1495Q8—4881no—
1496Q8—2442no—
1497Q8—2442no—
1498Q8—2442no—
1499Q8#1451982412yes—
1500D4—24no—
1501D4—21no—
1502D4—21no—
1503D4—21no—
1504D4—81no—
1505D4—1221no—
1506D4—1221no—
1507D4—4881no—
1508D4—4881no—
1509D4—2442no—
1510D4#1451982412yes—
1511C2×C4—24no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—81no—
1521C2×C4—81no—
1522C2×C4—81no—
1523C2×C4—81no—
1524C2×C4—611no—
1525C2×C4—611no—
1526C2×C4—611no—
1527C2×C4—611no—
1528C2×C4—611no—
1529C2×C4—611no—
1530C2×C4—611no—
1531C2×C4—611no—
1532C2×C4—1222no—
1533C2×C4—1222no—
1534C2×C4—1221no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—1221no—
1540C2×C4—1221no—
1541C2×C4—4881no—
1542C2×C4—4881no—
1543C2×C4—4881no—
1544C2×C4—4881no—
1545C2×C4—4881no—
1546C2×C4—4881no—
1547C2×C4—2442no—
1548C2×C4—2442no—
1549C2×C4—2442no—
1550C2×C4—2442no—
1551C2×C4C2×D4×D6111yescharacteristic
1552C2×C4C2×D4×D6111yescharacteristic
1553C2×C4C2×D4×D6111yescharacteristic
1554C2×C4C2×D4×D6111yescharacteristic
1555C2×C4C2×D4×D6111yescharacteristic
1556C2×C4C24×D6111yescharacteristic
1557C8—21no—
1558C8—21no—
1559C8—21no—
1560C8—21no—
1561C8—1221no—
1562C8—1221no—
1563C8—1221no—
1564C8—1221no—
1565C22—21no—
1566C22—22no—
1567C22—21no—
1568C22—21no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—2441no—
1575C22—2441no—
1576C22—2441no—
1577C22C22×D4×D6111yescharacteristic
1578C4—21no—
1579C4—22no—
1580C4—21no—
1581C4—21no—
1582C4—21no—
1583C4—21no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—612no—
1590C4—612no—
1591C4—1221no—
1592C4—1221no—
1593C4—1221no—
1594C4—1221no—
1595C4—1221no—
1596C4—1221no—
1597C4—2441no—
1598C4—2441no—
1599C4—2441no—
1600C4—2441no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4C2×#1451982411yescharacteristic
1605C4C2×#1451982411yescharacteristic
1606C2—41no—
1607C2—42no—
1608C2—81no—
1609C2—4881no—
1610C2#2145946611yescharacteristic
1611C2#576×D6111yescharacteristic
1612C2#578×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3124C2
socleC22×C61C23×D4
prime radical#21455872C2
hypercenter#3124D61
hypocenterC61#61870
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3124

Complements

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

NH ≅ G/Ntype
1. #21460227C2semidirect
2. #21459632C2semidirect
3. #21458743C2semidirect
4. #21458741C2semidirect
5. #21458730C2semidirect
6. #21458724C2semidirect
7. Q16×Dic122C2semidirect
8. #21458700C2semidirect
9. D8×Dic122C2semidirect
10. #21458669C2semidirect
11. #21458634C2semidirect
12. #21458628C2semidirect
13. #21458538C2semidirect
14. #21458532C2semidirect
15. #21458505C2semidirect
16. #21458499C2semidirect
17. #21458480C2semidirect
18. #21458474C2semidirect
19. #21457106C2semidirect
20. #21457104C2semidirect
21. #21457098C2semidirect
22. #21457096C2semidirect
23. #21456968C2semidirect
24. #21456938C2semidirect
25. #21456082C2semidirect
26. #21456081C2semidirect
27. #21456074C2semidirect
28. #21455883C2semidirect
30. #21454918C2semidirect
31. C61×#3124C2semidirect
827. #3124D61semidirect
1009. C61#61870semidirect

Maximal subgroups

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

subgroupindex
#214602272
#214596322
#214587432
#214587412
#214587302
#214587242
Q16×Dic1222
#214587002
D8×Dic1222
#214586692
#214586342
#214586282
#214585382
#214585322
#214585052
#214584992
#214584802
#214584742
#214571062
#214571042
#214570982
#214570962
#214569682
#214569382
#214560822
#214560812
#214560742
#214558832
#214558722
#214549182
C61×#31242
#6187061