Finite Group Databasebeta

← #30570801

Subgroups — #30570801

Order 15616.

1756 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460213C211yesmaximal, characteristic, complemented
2#21459632C211yesmaximal, characteristic, complemented
3#21458732C211yesmaximal, characteristic, complemented
4#21458730C211yesmaximal, characteristic, complemented
5#21458721C211yesmaximal, characteristic, complemented
6#21458719C211yesmaximal, characteristic, complemented
7#21458697C211yesmaximal, characteristic, complemented
8#21458695C211yesmaximal, characteristic, complemented
9#21458686C211yesmaximal, characteristic, complemented
10#21458681C211yesmaximal, characteristic, complemented
11#21458549C211yesmaximal, characteristic, complemented
12#21458543C211yesmaximal, characteristic, complemented
13#21458527C211yesmaximal, characteristic, complemented
14#21458521C211yesmaximal, characteristic, complemented
15#21458488C211yesmaximal, characteristic, complemented
16#21458485C211yesmaximal, characteristic, complemented
17#21458452C211yesmaximal, characteristic, complemented
18#21458449C211yesmaximal, characteristic, complemented
19#21457076C211yesmaximal, characteristic, complemented
20#21457074C211yesmaximal, characteristic, complemented
21#21457068C211yesmaximal, characteristic, complemented
22#21457066C211yesmaximal, characteristic, complemented
23#21456945C211yesmaximal, characteristic, complemented
24#21456938C211yesmaximal, characteristic, complemented
25#21456019C211yesmaximal, characteristic, complemented
26#21456018C211yesmaximal, characteristic, complemented
27#21456011C211yesmaximal, characteristic, complemented
28#21455872C211yesmaximal, characteristic, complemented
29#21455872C211yesmaximal, characteristic, complemented
30#21454918C211yesmaximal, characteristic, complemented
31C61×#3119C211yesmaximal, characteristic, complemented
32#16840509—21no—
33#16840509—21no—
34Q8×Dic122C2211yescharacteristic
35Q8×Dic122C2211yescharacteristic
36#16840488C2211yescharacteristic
37#16840488C2211yescharacteristic
38#16840471—21no—
39#16840471—21no—
40#16840471C2211yescharacteristic
41#16840471C2211yescharacteristic
42#16840471C2211yescharacteristic
43#16840471C2211yescharacteristic
44#16840468C2211yescharacteristic
45#16840468C2211yescharacteristic
46#16840433C2211yescharacteristic
47#16840433C2211yescharacteristic
48#16840432C2211yescharacteristic
49#16840432C2211yescharacteristic
50D4×Dic122—21no—
51D4×Dic122—21no—
52D4×Dic122C2211yescharacteristic
53D4×Dic122C2211yescharacteristic
54#16840410—21no—
55#16840410—21no—
56#16840393—21no—
57#16840393C2211yescharacteristic
58#16840390—21no—
59#16840390C2211yescharacteristic
60#16840367C2211yescharacteristic
61#16840365C2211yescharacteristic
62#16840365C2211yescharacteristic
63#16840341—21no—
64#16840341—21no—
65#16840339—21no—
66#16840339—21no—
67#16840315—21no—
68#16840315C2211yescharacteristic
69#16840307C2211yescharacteristic
70#16840307C2211yescharacteristic
71C2×#14519776—21no—
72C2×#14519776C2211yescharacteristic
73#16840245C2211yescharacteristic
74#41×Dic61C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840166C2211yescharacteristic
80#16840166C2211yescharacteristic
81#16840164C2211yescharacteristic
82#16840163C2211yescharacteristic
83#16840162C2211yescharacteristic
84#16840161C2211yescharacteristic
85#16840159C2211yescharacteristic
86#16840159C2211yescharacteristic
87#16840127C2211yescharacteristic
88#16840126C2211yescharacteristic
89#16840125C2211yescharacteristic
90#16840125C2211yescharacteristic
91#16840109C2211yescharacteristic
92#16840108C2211yescharacteristic
93#16840107C2211yescharacteristic
94#16840107C2211yescharacteristic
95#16840107C2211yescharacteristic
96#16840107C2211yescharacteristic
97#16840107C2211yescharacteristic
98#16840107C2211yescharacteristic
99#16840087C2211yescharacteristic
100#16840087C2211yescharacteristic
101#16840083C2211yescharacteristic
102#16840083C2211yescharacteristic
103#16840081C2211yescharacteristic
104#16840080C2211yescharacteristic
105#16840078C2211yescharacteristic
106#16840076C2211yescharacteristic
107#16840075C2211yescharacteristic
108#16840073C2211yescharacteristic
109#16840071C2211yescharacteristic
110#16840069C2211yescharacteristic
111#16840067C2211yescharacteristic
112#16840065C2211yescharacteristic
113#16840064C2211yescharacteristic
114#16840064C2211yescharacteristic
115#16840063C2211yescharacteristic
116#16840063C2211yescharacteristic
117#16840062C2211yescharacteristic
118#16840062C2211yescharacteristic
119#16840062C2211yescharacteristic
120#16840061C2211yescharacteristic
121#16840060C2211yescharacteristic
122#16840060C2211yescharacteristic
123#16840055C2211yescharacteristic
124#16840055C2211yescharacteristic
125#16840053C2211yescharacteristic
126#16840052C2211yescharacteristic
127#16840051C2211yescharacteristic
128#16840051C2211yescharacteristic
129#16840051C2211yescharacteristic
130#16840050C2211yescharacteristic
131#16840050C2211yescharacteristic
132#16840050C2211yescharacteristic
133#16840050C2211yescharacteristic
134#16840050C2211yescharacteristic
135#16840043C2211yescharacteristic
136#16840042C2211yescharacteristic
137#16840041C2211yescharacteristic
138#16840041C2211yescharacteristic
139#16840041C2211yescharacteristic
140#16840040C2211yescharacteristic
141#16840040C2211yescharacteristic
142#16840040C2211yescharacteristic
143#16839962C2211yescharacteristic
144#16839960C2211yescharacteristic
145#16839960C2211yescharacteristic
146#16839960C2211yescharacteristic
147#16839960C2211yescharacteristic
148#16839957C2211yescharacteristic
149#16839955C2211yescharacteristic
150#16839955C2211yescharacteristic
151#16839955C2211yescharacteristic
152#16839955C2211yescharacteristic
153#16839907C2211yescharacteristic
154#16839907C2211yescharacteristic
155#16839891C2211yescharacteristic
156#16839891C2211yescharacteristic
157#16839890C2211yescharacteristic
158#16839890C2211yescharacteristic
159C8×Dic122C2211yescharacteristic
160C8×Dic122C2211yescharacteristic
161#16839886C2211yescharacteristic
162#16839886C2211yescharacteristic
163#16839874C2211yescharacteristic
164#16839872C2211yescharacteristic
165#16839871C2211yescharacteristic
166#16839865C2211yescharacteristic
167#16839863C2211yescharacteristic
168#16839860C2211yescharacteristic
169SD16×Dic61C2211yescharacteristic
170SD16×Dic61C2211yescharacteristic
171SD16×Dic61C2211yescharacteristic
172C4×#11758201C2211yescharacteristic
173#16839847C2211yescharacteristic
174#16839847C2211yescharacteristic
175#16839847C2211yescharacteristic
176D8×Dic61C2211yescharacteristic
177D8×Dic61C2211yescharacteristic
178D8×Dic61C2211yescharacteristic
179C4×#11758199C2211yescharacteristic
180#16839842C2211yescharacteristic
181#16839842C2211yescharacteristic
182#16839842C2211yescharacteristic
183#16839823C2211yescharacteristic
184#16839820C2211yescharacteristic
185#16839820C2211yescharacteristic
186#16839812C2211yescharacteristic
187#16839812C2211yescharacteristic
188C61×#540C2211yescharacteristic
189C61×#520C2211yescharacteristic
190C61×#481C2211yescharacteristic
191C61×#480C2211yescharacteristic
192C61×#479C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#460C2211yescharacteristic
195C61×#459C2211yescharacteristic
196C61×#449C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#442C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C4×SD16×C61C2211yescharacteristic
201C4×D8×C61C2211yescharacteristic
202C61×#433C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758222—21no—
205C2×#11758224—21no—
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224—21no—
209C22×Dic122—21no—
210C22×Dic122—21no—
211C22×Dic122—21no—
212C2×#11758201C2311yescharacteristic
213C2×#11758201C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758199C2311yescharacteristic
216#14519777—21no—
217#14519777—21no—
218#14519777C2311yescharacteristic
219#14519777C2311yescharacteristic
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#14519776D411yescharacteristic
231#14519776D411yescharacteristic
232#14519776C2311yescharacteristic
233#14519776C2311yescharacteristic
234#14519776C2311yescharacteristic
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519774C2311yescharacteristic
241#14519773C2311yescharacteristic
242#14519773C2311yescharacteristic
243#14519773C2311yescharacteristic
244#14519773C2311yescharacteristic
245#14519769—21no—
246#14519769—21no—
247#14519769C2311yescharacteristic
248#14519769C2311yescharacteristic
249#14519769C2311yescharacteristic
250#14519768—21no—
251#14519768—21no—
252#14519768—21no—
253#14519768—21no—
254#14519768D411yescharacteristic
255#14519768D411yescharacteristic
256#14519768C2311yescharacteristic
257#14519768C2311yescharacteristic
258#14519768C2311yescharacteristic
259#14519768C2311yescharacteristic
260#14519763—21no—
261#14519763—21no—
262#14519762—21no—
263#14519762—21no—
264#14519761—21no—
265#14519761—21no—
266#14519759—21no—
267#14519759—21no—
268#14519757—21no—
269#14519757—21no—
270#14519756—21no—
271#14519756—21no—
272#14519756—21no—
273#14519756—21no—
274#14519756—21no—
275#14519756—21no—
276#14519756—21no—
277#14519756—21no—
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519755—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#14519754D411yescharacteristic
297#14519754D411yescharacteristic
298#14519754D411yescharacteristic
299#14519754D411yescharacteristic
300#14519751—21no—
301#14519751—21no—
302#14519751C2311yescharacteristic
303#14519751C2311yescharacteristic
304#14519750—21no—
305#14519750—21no—
306#14519750—21no—
307#14519750—21no—
308#14519750—21no—
309#14519750—21no—
310#14519749—21no—
311#14519749—21no—
312#14519749—21no—
313#14519749—21no—
314#14519749—21no—
315#14519749—21no—
316#14519749—21no—
317#14519749—21no—
318#14519748—21no—
319#14519748—21no—
320#14519748—21no—
321#14519748—21no—
322Q8×Dic61C2311yescharacteristic
323Q8×Dic61C2311yescharacteristic
324Q8×Dic61C2311yescharacteristic
325Q8×Dic61C2311yescharacteristic
326C4×Dic122—21no—
327C4×Dic122—21no—
328C4×Dic122—21no—
329C4×Dic122—21no—
330C4×Dic122C2311yescharacteristic
331C4×Dic122C2311yescharacteristic
332C4×Dic122C2311yescharacteristic
333C4×Dic122C2311yescharacteristic
334C4×D244C2311yescharacteristic
335C4×D244C2311yescharacteristic
336D4×Dic61—21no—
337D4×Dic61—21no—
338D4×Dic61—21no—
339D4×Dic61—21no—
340D4×Dic61C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342D4×Dic61C2311yescharacteristic
343D4×Dic61C2311yescharacteristic
344D4×Dic61C2311yescharacteristic
345D4×Dic61C2311yescharacteristic
346D4×Dic61C2311yescharacteristic
347D4×Dic61C2311yescharacteristic
348#14519739C2311yescharacteristic
349#14519739C2311yescharacteristic
350#14519739C2311yescharacteristic
351#14519739C2311yescharacteristic
352#14519737—21no—
353#14519737—21no—
354#14519736—21no—
355#14519736—21no—
356#14519736C2311yescharacteristic
357#14519736C2311yescharacteristic
358C2×C4⋊Dic61—21no—
359C2×C4⋊Dic61C2311yescharacteristic
360C2×#11758196—21no—
361C2×#11758196—21no—
362C2×#11758196—21no—
363C2×#11758196—21no—
364C2×#11758196—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C2×C4×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#14519709C2311yescharacteristic
380#14519709C2311yescharacteristic
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#14519701C2311yescharacteristic
400#14519701C2311yescharacteristic
401#14519699C2311yescharacteristic
402#14519699C2311yescharacteristic
403#14519699C2311yescharacteristic
404#14519699C2311yescharacteristic
405#14519699C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519698C2311yescharacteristic
410#14519698C2311yescharacteristic
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
435C2×#41×C61C2311yescharacteristic
436C2×SD16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440#127×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442#123×C61—21no—
443#123×C61—21no—
444#121×C61—21no—
445#121×C61—21no—
446#121×C61C2311yescharacteristic
447#121×C61C2311yescharacteristic
448C4×Q8×C61C2311yescharacteristic
449C4×Q8×C61C2311yescharacteristic
450C4×D4×C61—21no—
451C4×D4×C61—21no—
452C4×D4×C61C2311yescharacteristic
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#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
478#41×C61—22no—
479#41×C61—22no—
480C2×Q8×C61C2411yescharacteristic
481C2×D4×C61—21no—
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61C2411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C2×D4×C61C2411yescharacteristic
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61C2411yescharacteristic
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61C2×D411yescharacteristic
516C22×Dic61C2×D411yescharacteristic
517#11758224—82no—
518#11758224—82no—
519#11758224—82no—
520#11758224—82no—
521#11758222—82no—
522#11758222—82no—
523C2×D244—21no—
524C2×D244—21no—
525C2×D244C2411yescharacteristic
526C2×D244C2411yescharacteristic
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×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—82no—
544C2×Dic122—82no—
545C2×Dic122—82no—
546C2×Dic122C2×D411yescharacteristic
547C2×Dic122C2×D411yescharacteristic
548C2×Dic122C2×D411yescharacteristic
549C2×Dic122C2×D411yescharacteristic
550SD16×C61—22no—
551SD16×C61—22no—
552D8×C61—22no—
553D8×C61—22no—
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C2×C8×C61C2411yescharacteristic
557C2×C8×C61C2411yescharacteristic
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61C2×D411yescharacteristic
564C4⋊C4×C61C2×D411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61C2×D411yescharacteristic
576C22⋊C4×C61C2×D411yescharacteristic
577C42×C61—21no—
578C42×C61—21no—
579C42×C61C2411yescharacteristic
580C42×C61C2411yescharacteristic
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61C2×D411yescharacteristic
591C22⋊Dic61C2×D411yescharacteristic
592#11758201—22no—
593#11758201—22no—
594#11758199—22no—
595#11758199—22no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—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⋊Dic61—21no—
615C4⋊Dic61C2×D411yescharacteristic
616C4⋊Dic61C2×D411yescharacteristic
617C4⋊Dic61C2×D411yescharacteristic
618C4⋊Dic61C2×D411yescharacteristic
619C4⋊Dic61C2×D411yescharacteristic
620C4⋊Dic61C2×D411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C23×C61—21no—
669C23×C61—21no—
670C23×C61—21no—
671C23×C61C22×D411yescharacteristic
672C22×D61—21no—
673C22×D61—21no—
674Q8×C61—21no—
675Q8×C612−1+412yes—
676D4×C61—24no—
677D4×C61—21no—
678D4×C61—21no—
679D4×C61—21no—
680D4×C61—21no—
681D4×C61—21no—
682D4×C61—81no—
683D4×C61—81no—
684D4×C61—81no—
685D4×C61—81no—
686D4×C612−1+412yes—
687C2×C4×C61—24no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—81no—
696C2×C4×C61—81no—
697C2×C4×C61—81no—
698C2×C4×C61—81no—
699C2×C4×C61—81no—
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C22×D411yescharacteristic
702C2×C4×C61C22×D411yescharacteristic
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C2511yescharacteristic
706C22⋊D61—42no—
707C22⋊D61—42no—
708C22⋊D61—81no—
709C22⋊D61—81no—
710C22⋊D61—81no—
711C22⋊D61—81no—
712C22⋊D61—81no—
713C22⋊D61—81no—
714C22⋊D61—81no—
715C22⋊D61—81no—
716C2×Dic61—22no—
717C2×Dic61—22no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—42no—
725C2×Dic61—42no—
726C2×Dic61—42no—
727C2×Dic61—42no—
728C2×Dic61—81no—
729C2×Dic61—81no—
730C2×Dic61—81no—
731C2×Dic61—81no—
732C2×Dic61—81no—
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740C2×Dic61C22×D411yescharacteristic
741D244—21no—
742D244—21no—
743D244—21no—
744D244—21no—
745D244—81no—
746D244—81no—
747C4×D61—42no—
748C4×D61—42no—
749C4×D61—81no—
750C4×D61—81no—
751C4×D61—81no—
752C4×D61—81no—
753Dic122—22no—
754Dic122—22no—
755Dic122—22no—
756Dic122—22no—
757Dic122—42no—
758Dic122—42no—
759Dic122—81no—
760Dic122—81no—
761Dic122—81no—
762Dic122—81no—
763Dic122—81no—
764Dic122—81no—
765Dic122—81no—
766Dic122—81no—
767C8×C61—21no—
768C8×C61—21no—
769C8×C61—21no—
770C8×C61—21no—
771#92418—21no—
772#92418—21no—
773#92418—21no—
774#92418—21no—
775#61868—611nomaximal, Sylow
776C22×C61—21no—
777C22×C61—22no—
778C22×C61—21no—
779C22×C61—21no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61C23×D411yescharacteristic
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C4×C61—21no—
796C4×C61—22no—
797C4×C61—21no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—41no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61C2×2−1+411yescharacteristic
806C4×C61C2×2−1+411yescharacteristic
807Dic61—21no—
808Dic61—21no—
809Dic61—21no—
810Dic61—21no—
811Dic61—21no—
812Dic61—21no—
813Dic61—41no—
814Dic61—41no—
815Dic61—41no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61#57612yes—
820Dic61#57712yes—
821#3548—611no—
822#3503—611no—
823#3385—611no—
824#3385—611no—
825#3384—611no—
826#3384—611no—
827#3381—611no—
828#3381—611no—
829#3380—611no—
830#3380—611no—
831#3368—611no—
832#3368—611no—
833#3366—611no—
834#3366—611no—
835#3362—611no—
836#3362—611no—
837#3358—611no—
838#3358—611no—
839#3241—611no—
840#3241—611no—
841#3241—611no—
842#3241—611no—
843#3227—611no—
844#3226—611no—
845#3119—611no—
846#3119—611no—
847#3119—611no—
848#3119D6111yescharacteristic, complemented
849#3106—611no—
850#3106—611no—
851#2986—611no—
852C2×C61—41no—
853C2×C61—42no—
854C2×C61—81no—
855C2×C61—81no—
856C2×C61#348611yescharacteristic
857C2×C61C2×#57611yescharacteristic
858C2×C61C2×#57711yescharacteristic
859D61—81no—
860D61—81no—
861#562—1221no—
862#562—1221no—
863Q82—611no—
864Q82—611no—
865#557—611no—
866#557—611no—
867#554—611no—
868#554—611no—
869#554—611no—
870#554—611no—
871#554—611no—
872#554—611no—
873#554—1221no—
874#554—1221no—
875#550—611no—
876#550—611no—
877#550—611no—
878#550—611no—
879D4×Q8—611no—
880D4×Q8—611no—
881D4×Q8—1221no—
882D4×Q8—1221no—
883#547—1221no—
884#547—1221no—
885#544—611no—
886#544—611no—
887#544—1221no—
888#544—1221no—
889#540—611no—
890#540—611no—
891#540—611no—
892#540C2×D6111yescharacteristic
893#537—1221no—
894#537—1221no—
895#537—1221no—
896#537—1221no—
897#533—611no—
898#533—1221no—
899#532—611no—
900#532—611no—
901C2×C4⋊Q8—611no—
902C2×C4⋊Q8—1221no—
903#520—611no—
904#520C2×D6111yescharacteristic
905C4×#41—611no—
906#501—611no—
907#501—611no—
908#501—611no—
909#501—611no—
910#500—611no—
911#500—611no—
912#499—611no—
913#499—611no—
914#499—611no—
915#499—611no—
916#498—611no—
917#498—611no—
918#490—611no—
919#490—611no—
920#490—611no—
921#490—611no—
922#486—611no—
923#486—611no—
924#486—611no—
925#486—611no—
926#486—611no—
927#486—611no—
928#486—611no—
929#486—611no—
930#482—611no—
931#482—611no—
932#482—611no—
933#482—611no—
934#481—611no—
935#481—611no—
936#481—611no—
937#481C2×D6111yescharacteristic
938#480—611no—
939#480—611no—
940#480—611no—
941#480C2×D6111yescharacteristic
942#479—611no—
943#479—611no—
944#479—611no—
945#479C2×D6111yescharacteristic
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#477—611no—
959#477—611no—
960#476—611no—
961#476—611no—
962#476—611no—
963#476—611no—
964#476—611no—
965#476—611no—
966#476—611no—
967#476—611no—
968#476—611no—
969#476—611no—
970#474—611no—
971#474—611no—
972#474—611no—
973#474—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#474—611no—
978#460—611no—
979#460—611no—
980#460—611no—
981#460—611no—
982#460—611no—
983#460C2×D6111yescharacteristic
984#459—611no—
985#459—611no—
986#459—611no—
987#459—611no—
988#459—611no—
989#459C2×D6111yescharacteristic
990#449—611no—
991#449—611no—
992#449C2×D6111yescharacteristic
993#449C2×D6111yescharacteristic
994#446—611no—
995#446—611no—
996#446—611no—
997#446—611no—
998C8×Q8—611no—
999C8×Q8—611no—
1000C8×Q8—611no—
1001C8×Q8—611no—
1002#442—611no—
1003#442—611no—
1004#442—611no—
1005#442C2×D6111yescharacteristic
1006#440—611no—
1007#440—611no—
1008#440—611no—
1009#440C2×D6111yescharacteristic
1010C4×SD16—611no—
1011C4×SD16—611no—
1012C4×SD16—611no—
1013C4×SD16—611no—
1014C4×SD16—611no—
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×SD16C2×D6111yescharacteristic
1018C4×D8—611no—
1019C4×D8—611no—
1020C4×D8—611no—
1021C4×D8—611no—
1022C4×D8—611no—
1023C4×D8—611no—
1024C4×D8—611no—
1025C4×D8C2×D6111yescharacteristic
1026#433—611no—
1027#433—611no—
1028#433—611no—
1029#433C2×D6111yescharacteristic
1030#431—611no—
1031#431—611no—
1032C61#6186811yescharacteristic, complemented, Sylow
1033C2×#41—1221no—
1034C2×#41—1221no—
1035C2×#41—1221no—
1036C2×#41—1221no—
1037C2×#41—1221no—
1038C2×#41—1221no—
1039C2×#41C22×D6111yescharacteristic
1040C22×Q8—1221no—
1041C22×Q8—1221no—
1042C22×Q8—1221no—
1043C2×SD16—611no—
1044C2×SD16—611no—
1045C2×SD16C22×D6111yescharacteristic
1046C2×SD16C22×D6111yescharacteristic
1047C2×D8—611no—
1048C2×D8—611no—
1049C2×D8C22×D6111yescharacteristic
1050C2×D8C22×D6111yescharacteristic
1051C4⋊Q8—611no—
1052C4⋊Q8—611no—
1053C4⋊Q8—611no—
1054C4⋊Q8—611no—
1055C4⋊Q8—611no—
1056C4⋊Q8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—611no—
1063C4⋊Q8—1221no—
1064C4⋊Q8—1221no—
1065C4⋊Q8—1221no—
1066C4⋊Q8—1221no—
1067C4⋊Q8—1221no—
1068C4⋊Q8—1221no—
1069C4⋊Q8—1221no—
1070C4⋊Q8—1221no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8—1221no—
1074C4⋊Q8—1221no—
1075#127—611no—
1076#127—611no—
1077#127—611no—
1078#127—611no—
1079#127—611no—
1080#127C22×D6111yescharacteristic
1081#125—611no—
1082#125—611no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125C22×D6111yescharacteristic
1097#124—1221no—
1098#124—1221no—
1099#123—21no—
1100#123—21no—
1101#123—1221no—
1102#123—1221no—
1103#123—1221no—
1104#123—1221no—
1105#123—1221no—
1106#123—1221no—
1107C22⋊Q8—611no—
1108C22⋊Q8—611no—
1109C22⋊Q8—611no—
1110C22⋊Q8—611no—
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—
1139#121—21no—
1140#121—21no—
1141#121—611no—
1142#121—611no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121—1221no—
1157#121—1221no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121C22×D6111yescharacteristic
1164#121C22×D6111yescharacteristic
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—611no—
1168C4×Q8—611no—
1169C4×Q8—611no—
1170C4×Q8—611no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—1221no—
1174C4×Q8—1221no—
1175C4×Q8—1221no—
1176C4×Q8—1221no—
1177C4×Q8C22×D6111yescharacteristic
1178C4×Q8C22×D6111yescharacteristic
1179C4×D4—21no—
1180C4×D4—21no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—611no—
1194C4×D4—611no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4C22×D6111yescharacteristic
1202C4×D4C22×D6111yescharacteristic
1203C4×D4C22×D6111yescharacteristic
1204C4×D4C22×D6111yescharacteristic
1205#117—21no—
1206#117—611no—
1207#117—611no—
1208#117—1221no—
1209#117—1221no—
1210#117C22×D6111yescharacteristic
1211C2×C4⋊C4—21no—
1212C2×C4⋊C4—611no—
1213C2×C4⋊C4—1221no—
1214C2×C4⋊C4—1221no—
1215C2×C4⋊C4—1221no—
1216C2×C4⋊C4—1221no—
1217C2×C4⋊C4—1221no—
1218C2×C4⋊C4—1221no—
1219C2×C4⋊C4—1221no—
1220C2×C4⋊C4—1221no—
1221C2×C4⋊C4C22×D6111yescharacteristic
1222C2×C42—611no—
1223C2×C42—1221no—
1224#107—611no—
1225#107—611no—
1226#107—611no—
1227#107—611no—
1228#107—611no—
1229#107—611no—
1230#107—611no—
1231#107—611no—
1232#107—611no—
1233#107—611no—
1234#107C22×D6111yescharacteristic
1235#107C22×D6111yescharacteristic
1236#106—611no—
1237#106—611no—
1238#106—611no—
1239#106—611no—
1240#106—611no—
1241#106—611no—
1242#106—611no—
1243#106—611no—
1244#106—611no—
1245#106—611no—
1246#106C22×D6111yescharacteristic
1247#106C22×D6111yescharacteristic
1248C4⋊C8—611no—
1249C4⋊C8—611no—
1250C4⋊C8—611no—
1251C4⋊C8—611no—
1252C4⋊C8—611no—
1253C4⋊C8—611no—
1254C4⋊C8—611no—
1255C4⋊C8—611no—
1256C4⋊C8—611no—
1257C4⋊C8—611no—
1258C4⋊C8C22×D6111yescharacteristic
1259C4⋊C8C22×D6111yescharacteristic
1260#103—611no—
1261#103—611no—
1262#103C22×D6111yescharacteristic
1263#103C22×D6111yescharacteristic
1264#102—611no—
1265#102—611no—
1266#102—611no—
1267#102—611no—
1268#102—611no—
1269#102—611no—
1270#102—611no—
1271#102—611no—
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275#102—611no—
1276#102—611no—
1277#102—611no—
1278#102—611no—
1279#102—611no—
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102C22×D6111yescharacteristic
1287#102C22×D6111yescharacteristic
1288#102C22×D6111yescharacteristic
1289#102C22×D6111yescharacteristic
1290#102C22×D6111yescharacteristic
1291#102C22×D6111yescharacteristic
1292C22⋊C8—611no—
1293C22⋊C8—611no—
1294C22⋊C8C22×D6111yescharacteristic
1295C22⋊C8C22×D6111yescharacteristic
1296#97—611no—
1297#97—611no—
1298#97—611no—
1299#97C22×D6111yescharacteristic
1300C4×C8—611no—
1301C4×C8—611no—
1302C4×C8—611no—
1303C4×C8—611no—
1304C4×C8—611no—
1305C4×C8—611no—
1306C4×C8—611no—
1307C4×C8C22×D6111yescharacteristic
1308#41—22no—
1309#41—22no—
1310#41—4882no—
1311#41—4882no—
1312#41—4882no—
1313#41—4882no—
1314#41—4882no—
1315#41—4882no—
1316C2×Q8—611no—
1317C2×Q8—611no—
1318C2×Q8—611no—
1319C2×Q8—611no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—1221no—
1326C2×Q8—1221no—
1327C2×Q8—1221no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8—4882no—
1331C2×Q8—4882no—
1332C2×Q8—4882no—
1333C2×Q8C23×D6111yescharacteristic
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—611no—
1340C2×D4—611no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—1221no—
1352C2×D4—1221no—
1353C2×D4C23×D6111yescharacteristic
1354C2×D4C23×D6111yescharacteristic
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4C23×D6111yescharacteristic
1380SD16—22no—
1381SD16—22no—
1382SD16—1222no—
1383SD16—1222no—
1384D8—22no—
1385D8—22no—
1386D8—1222no—
1387D8—1222no—
1388C2×C8—611no—
1389C2×C8—611no—
1390C2×C8—611no—
1391C2×C8—611no—
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C2×C8C23×D6111yescharacteristic
1395C2×C8C23×D6111yescharacteristic
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—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⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4D4×D6111yescharacteristic
1451C4⋊C4D4×D6111yescharacteristic
1452C4⋊C4C23×D6111yescharacteristic
1453C4⋊C4C23×D6111yescharacteristic
1454C4⋊C4C23×D6111yescharacteristic
1455C4⋊C4C23×D6111yescharacteristic
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—611no—
1463C22⋊C4—611no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4D4×D6111yescharacteristic
1482C22⋊C4D4×D6111yescharacteristic
1483C42—21no—
1484C42—21no—
1485C42—611no—
1486C42—611no—
1487C42—611no—
1488C42—611no—
1489C42—611no—
1490C42—611no—
1491C42—1221no—
1492C42—1221no—
1493C42—1221no—
1494C42—1221no—
1495C42—1221no—
1496C42C23×D6111yescharacteristic
1497C42C23×D6111yescharacteristic
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—1221no—
1502C23—1221no—
1503C23C2×D4×D6111yescharacteristic
1504Q8—21no—
1505Q8—1222no—
1506Q8—1222no—
1507Q8—1222no—
1508Q8—1222no—
1509Q8—4881no—
1510Q8—4881no—
1511Q8—4881no—
1512Q8—4881no—
1513Q8—4881no—
1514Q8—4881no—
1515Q8—4881no—
1516Q8—4881no—
1517Q8—2442no—
1518Q8—2442no—
1519Q8#1451982412yes—
1520D4—24no—
1521D4—21no—
1522D4—21no—
1523D4—21no—
1524D4—21no—
1525D4—21no—
1526D4—81no—
1527D4—81no—
1528D4—81no—
1529D4—81no—
1530D4—1221no—
1531D4—1221no—
1532D4—1221no—
1533D4—1221no—
1534D4—4881no—
1535D4—4881no—
1536D4—4881no—
1537D4—4881no—
1538D4—4881no—
1539D4—4881no—
1540D4—4881no—
1541D4—4881no—
1542D4—4881no—
1543D4—4881no—
1544D4—2442no—
1545D4—2442no—
1546D4#1451982412yes—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—81no—
1556C2×C4—81no—
1557C2×C4—81no—
1558C2×C4—81no—
1559C2×C4—81no—
1560C2×C4—611no—
1561C2×C4—611no—
1562C2×C4—611no—
1563C2×C4—611no—
1564C2×C4—611no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—1222no—
1569C2×C4—1222no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—4881no—
1577C2×C4—4881no—
1578C2×C4—4881no—
1579C2×C4—4881no—
1580C2×C4—4881no—
1581C2×C4—4881no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—2442no—
1586C2×C4—2442no—
1587C2×C4—2442no—
1588C2×C4—2442no—
1589C2×C4—2442no—
1590C2×C4—2442no—
1591C2×C4C2×D4×D6111yescharacteristic
1592C2×C4C2×D4×D6111yescharacteristic
1593C2×C4C2×D4×D6111yescharacteristic
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C24×D6111yescharacteristic
1597C8—21no—
1598C8—21no—
1599C8—21no—
1600C8—21no—
1601C8—1221no—
1602C8—1221no—
1603C8—1221no—
1604C8—1221no—
1605C22—21no—
1606C22—22no—
1607C22—21no—
1608C22—21no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—2441no—
1618C22—2441no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22C22×D4×D6111yescharacteristic
1624C4—21no—
1625C4—22no—
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—612no—
1635C4—612no—
1636C4—1221no—
1637C4—1221no—
1638C4—1221no—
1639C4—1221no—
1640C4—1221no—
1641C4—1221no—
1642C4—2441no—
1643C4—2441no—
1644C4—2441no—
1645C4—2441no—
1646C4—2441no—
1647C4—2441no—
1648C4C2×#1451982411yescharacteristic
1649C4C2×#1451982411yescharacteristic
1650C2—41no—
1651C2—42no—
1652C2—81no—
1653C2—81no—
1654C2—4881no—
1655C2—4881no—
1656C2#2145946611yescharacteristic
1657C2#576×D6111yescharacteristic
1658C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3119C2
socleC22×C61C23×D4
hypercenter#3119D61
hypocenterC61#61868
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3119

Complements

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

NH ≅ G/Ntype
1. #21460213C2semidirect
2. #21459632C2semidirect
3. #21458732C2semidirect
4. #21458730C2semidirect
5. #21458721C2semidirect
6. #21458719C2semidirect
7. #21458697C2semidirect
8. #21458695C2semidirect
9. #21458686C2semidirect
10. #21458681C2semidirect
11. #21458549C2semidirect
12. #21458543C2semidirect
13. #21458527C2semidirect
14. #21458521C2semidirect
15. #21458488C2semidirect
16. #21458485C2semidirect
17. #21458452C2semidirect
18. #21458449C2semidirect
19. #21457076C2semidirect
20. #21457074C2semidirect
21. #21457068C2semidirect
22. #21457066C2semidirect
23. #21456945C2semidirect
24. #21456938C2semidirect
25. #21456019C2semidirect
26. #21456018C2semidirect
27. #21456011C2semidirect
28. #21455872C2semidirect
29. #21455872C2semidirect
30. #21454918C2semidirect
31. C61×#3119C2semidirect
848. #3119D61semidirect
1032. C61#61868semidirect

Maximal subgroups

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

subgroupindex
#214602132
#214596322
#214587322
#214587302
#214587212
#214587192
#214586972
#214586952
#214586862
#214586812
#214585492
#214585432
#214585272
#214585212
#214584882
#214584852
#214584522
#214584492
#214570762
#214570742
#214570682
#214570662
#214569452
#214569382
#214560192
#214560182
#214560112
#214558722
#214549182
C61×#31192
#6186861