Finite Group Databasebeta

← #30575965

Subgroups — #30575965

Order 15616.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459788C211yesmaximal, characteristic, complemented
2#21459424C211yesmaximal, characteristic, complemented
3#21458778C211yesmaximal, characteristic, complemented
4#21458757C211yesmaximal, characteristic, complemented
5#21458586C211yesmaximal, characteristic, complemented
6#21458569C211yesmaximal, characteristic, complemented
7#21458420C211yesmaximal, characteristic, complemented
8#21458383C211yesmaximal, characteristic, complemented
9#21458310C211yesmaximal, characteristic, complemented
10#21458306C211yesmaximal, characteristic, complemented
11#21458289C211yesmaximal, characteristic, complemented
12#21458278C211yesmaximal, characteristic, complemented
13#21458036C211yesmaximal, characteristic, complemented
14#21458013C211yesmaximal, characteristic, complemented
15#21457964C211yesmaximal, characteristic, complemented
16#21457900C211yesmaximal, characteristic, complemented
17#21457836C211yesmaximal, characteristic, complemented
18#21457217C211yesmaximal, characteristic, complemented
19#21457174C211yesmaximal, characteristic, complemented
20#21457167C211yesmaximal, characteristic, complemented
21#21457056C211yesmaximal, characteristic, complemented
22#21457008C211yesmaximal, characteristic, complemented
23#21456990C211yesmaximal, characteristic, complemented
24#21455955C211yesmaximal, characteristic, complemented
25#21455921C211yesmaximal, characteristic, complemented
26#21455861C211yesmaximal, characteristic, complemented
27#21455639C211yesmaximal, characteristic, complemented
28#21455617C211yesmaximal, characteristic, complemented
29C2×#16840060C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3306C211yesmaximal, characteristic, complemented
32#16840494C2211yescharacteristic
33#16840487C2211yescharacteristic, complemented
34#16840471C2211yescharacteristic
35#16840470C2211yescharacteristic
36#16840469C2211yescharacteristic, complemented
37#16840469C2211yescharacteristic, complemented
38#16840464C2211yescharacteristic
39#16840464C2211yescharacteristic, complemented
40#16840459C2211yescharacteristic
41#16840458C2211yescharacteristic
42#16840455—21no—
43#16840454—21no—
44#16840449—21no—
45#16840449—21no—
46#16840447C2211yescharacteristic
47#16840447C2211yescharacteristic, complemented
48#16840438—21no—
49#16840435—21no—
50#16840411—21no—
51#16840400C2211yescharacteristic
52#16840399—21no—
53D4×C22⋊D61C2211yescharacteristic
54#16840372—21no—
55#16840356—21no—
56#16840356—21no—
57#16840317C2211yescharacteristic, complemented
58#16840307C2211yescharacteristic
59#16840298C2211yescharacteristic
60#16840294C2211yescharacteristic, complemented
61#16840293C2211yescharacteristic, complemented
62#16840293C2211yescharacteristic, complemented
63#16840291C2211yescharacteristic
64#16840289—21no—
65C2×#14519768C2211yescharacteristic, complemented
66C2×#14519768C2211yescharacteristic, complemented
67#16840272—21no—
68#16840268—21no—
69#16840245—21no—
70#41×Dic61C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×D4×Dic61C2211yescharacteristic
73C2×#14519737—21no—
74C4×D4×D61C2211yescharacteristic
75#16840171C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840168C2211yescharacteristic, complemented
79#16840162C2211yescharacteristic, complemented
80#16840162C2211yescharacteristic, complemented
81#16840125C2211yescharacteristic
82#16840125C2211yescharacteristic
83#16840121C2211yescharacteristic, complemented
84#16840118C2211yescharacteristic, complemented
85#16840118C2211yescharacteristic, complemented
86#16840104C2211yescharacteristic, complemented
87#16840102C2211yescharacteristic, complemented
88#16840102C2211yescharacteristic, complemented
89#16840098C2211yescharacteristic, complemented
90#16840095C2211yescharacteristic, complemented
91#16840094C2211yescharacteristic, complemented
92#16840085C2211yescharacteristic
93#16840085C2211yescharacteristic
94#16840083C2211yescharacteristic, complemented
95#16840081C2211yescharacteristic
96#16840080C2211yescharacteristic, complemented
97#16840078C2211yescharacteristic, complemented
98#16840076C2211yescharacteristic, complemented
99#16840075C2211yescharacteristic
100#16840074C2211yescharacteristic, complemented
101#16840073C2211yescharacteristic, complemented
102#16840072C2211yescharacteristic, complemented
103#16840071C2211yescharacteristic, complemented
104#16840071C2211yescharacteristic, complemented
105#16840070C2211yescharacteristic, complemented
106#16840067C2211yescharacteristic, complemented
107#16840067C2211yescharacteristic, complemented
108#16840067C2211yescharacteristic, complemented
109#16840064C2211yescharacteristic
110#16840064C2211yescharacteristic
111#16840064C2211yescharacteristic, complemented
112#16840062C2211yescharacteristic, complemented
113#16840061C2211yescharacteristic, complemented
114#16840061C2211yescharacteristic, complemented
115#16840061C2211yescharacteristic, complemented
116#16840060C2211yescharacteristic
117#16840060C2211yescharacteristic
118#16840060C2211yescharacteristic
119#16840060C2211yescharacteristic
120#16840060C2211yescharacteristic
121#16840060C2211yescharacteristic, complemented
122#16840060C2211yescharacteristic, complemented
123#16840060C2211yescharacteristic, complemented
124#16840060C2211yescharacteristic, complemented
125#16840060C2211yescharacteristic, complemented
126#16840049C2211yescharacteristic, complemented
127#16840046C2211yescharacteristic, complemented
128#16840043C2211yescharacteristic, complemented
129#16840042C2211yescharacteristic
130#16840040C2211yescharacteristic, complemented
131#16840019C2211yescharacteristic, complemented
132#16840013C2211yescharacteristic, complemented
133#16840012C2211yescharacteristic
134#16840008C2211yescharacteristic, complemented
135#16840007C2211yescharacteristic
136#16840006C2211yescharacteristic, complemented
137#16840005C2211yescharacteristic, complemented
138#16840001C2211yescharacteristic, complemented
139#16839996C2211yescharacteristic
140#16839991C2211yescharacteristic
141#16839987C2211yescharacteristic, complemented
142#16839982C2211yescharacteristic, complemented
143#16839981C2211yescharacteristic, complemented
144#16839979C2211yescharacteristic, complemented
145#16839976C2211yescharacteristic, complemented
146#16839975C2211yescharacteristic
147#16839975C2211yescharacteristic, complemented
148#16839961C2211yescharacteristic
149#16839955C2211yescharacteristic
150#16839924C2211yescharacteristic
151#16839914C2211yescharacteristic
152#16839913C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839874C2211yescharacteristic
157#16839872C2211yescharacteristic, complemented
158#16839866C2211yescharacteristic, complemented
159#16839864C2211yescharacteristic, complemented
160#16839863C2211yescharacteristic, complemented
161#16839862C2211yescharacteristic
162#16839859C2211yescharacteristic
163#16839853C2211yescharacteristic
164#16839853C2211yescharacteristic, complemented
165D8×Dic61C2211yescharacteristic
166D8×Dic61C2211yescharacteristic, complemented
167#16839838C2211yescharacteristic, complemented
168#16839837C2211yescharacteristic, complemented
169#16839834C2211yescharacteristic, complemented
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839804C2211yescharacteristic, complemented
176#16839802C2211yescharacteristic, complemented
177#16839801C2211yescharacteristic, complemented
178#16839801C2211yescharacteristic, complemented
179C2×#14519711C2211yescharacteristic, complemented
180C2×#14519708C2211yescharacteristic, complemented
181#16839785C2211yescharacteristic, complemented
182#16839784C2211yescharacteristic, complemented
183C2×#14519706C2211yescharacteristic, complemented
184#16839765C2211yescharacteristic
185#16839765C2211yescharacteristic
186#16839763C2211yescharacteristic
187C2×#14519698C2211yescharacteristic
188C61×#547C2211yescharacteristic, complemented
189C61×#546C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#483C2211yescharacteristic, complemented
192C61×#481C2211yescharacteristic, complemented
193C61×#476C2211yescharacteristic
194C61×#469C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic
198C61×#447C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic
202C2×#102×C61C2211yescharacteristic
203C2×#11758224—21no—
204C2×#11758224D411yescharacteristic
205C22×C22⋊D61—21no—
206C2×D4×D61C2311yescharacteristic
207C23×Dic61—21no—
208C22×C4×D61—21no—
209C2×#11758202C2311yescharacteristic
210C2×#11758190C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758200C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214C2×#11758194C2311yescharacteristic
215C2×#11758189C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C22×#92418C2311yescharacteristic
218#14519777C2311yescharacteristic
219#14519776C2311yescharacteristic
220#14519775—21no—
221#14519773C2311yescharacteristic
222#14519772—21no—
223#14519772—21no—
224#14519772—21no—
225#14519772—21no—
226#14519770—21no—
227#14519770—21no—
228#14519770—21no—
229#14519770—21no—
230#14519770—21no—
231#14519770—21no—
232#14519770—21no—
233#14519769C2311yescharacteristic
234#14519768—21no—
235#14519768—21no—
236#14519768—21no—
237#14519768—21no—
238#14519768—21no—
239#14519768C2311yescharacteristic
240#14519768C2311yescharacteristic
241#14519768C2311yescharacteristic
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519767—21no—
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519766C2311yescharacteristic
253#14519764C2311yescharacteristic
254#14519763—21no—
255#14519763—21no—
256#14519761—21no—
257#14519761—21no—
258#14519761—21no—
259#14519761—21no—
260#14519760—21no—
261#14519760—21no—
262#14519760—21no—
263#14519759—21no—
264#14519759—21no—
265#14519759—21no—
266#14519759—21no—
267#14519758—21no—
268#14519758—21no—
269#14519758—21no—
270#14519757—21no—
271#14519757—21no—
272#14519757C2311yescharacteristic
273#14519756—21no—
274#14519756—21no—
275#14519756C2311yescharacteristic
276#14519756C2311yescharacteristic
277#14519754—21no—
278#14519754—21no—
279#14519754—21no—
280#14519754—21no—
281#14519754—21no—
282#14519754—21no—
283#14519754—21no—
284#14519753—21no—
285#14519753C2311yescharacteristic
286#14519751C2311yescharacteristic
287#14519751C2311yescharacteristic
288#14519749—21no—
289#14519749—21no—
290#14519749—21no—
291#14519749—21no—
292#14519749—21no—
293#14519749—21no—
294#14519748—21no—
295#14519748C2311yescharacteristic
296#14519748C2311yescharacteristic
297#14519746—21no—
298#14519745—21no—
299#14519745—21no—
300Q8×Dic61—21no—
301Q8×Dic61—21no—
302Q8×Dic61C2311yescharacteristic
303Q8×Dic61C2311yescharacteristic
304C4×Dic122C2311yescharacteristic
305C4×Dic122C2311yescharacteristic
306#14519742—21no—
307#14519742D411yescharacteristic
308#14519742C2311yescharacteristic
309#14519742C2311yescharacteristic
310C4×D244C2311yescharacteristic
311D4×Dic61—21no—
312D4×Dic61—21no—
313D4×Dic61—21no—
314D4×Dic61—21no—
315D4×Dic61—21no—
316D4×Dic61—21no—
317D4×Dic61—21no—
318D4×Dic61—21no—
319D4×Dic61—21no—
320D4×Dic61D411yescharacteristic
321D4×Dic61C2311yescharacteristic
322D4×Dic61C2311yescharacteristic
323D4×Dic61C2311yescharacteristic
324D4×Dic61C2311yescharacteristic
325D4×Dic61C2311yescharacteristic
326D4×Dic61C2311yescharacteristic
327D4×Dic61C2311yescharacteristic
328#14519739C2311yescharacteristic
329C4×C22⋊D61—21no—
330C4×C22⋊D61—21no—
331C4×C22⋊D61C2311yescharacteristic
332C4×C22⋊D61C2311yescharacteristic
333#14519737—21no—
334#14519737—21no—
335#14519737—21no—
336#14519737—21no—
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737D411yescharacteristic
342#14519737D411yescharacteristic
343#14519736—21no—
344#14519736—21no—
345#14519736—21no—
346#14519736—21no—
347#14519736C2311yescharacteristic
348#14519735—21no—
349#14519735D411yescharacteristic
350#14519735C2311yescharacteristic
351#14519735C2311yescharacteristic
352#14519733—21no—
353#14519733—21no—
354#14519733—21no—
355#14519733D411yescharacteristic
356#14519733D411yescharacteristic
357C2×C4⋊Dic61—21no—
358C2×C4⋊Dic61—21no—
359C2×C4⋊Dic61—21no—
360C2×C4⋊Dic61C2311yescharacteristic
361C2×C4⋊Dic61C2311yescharacteristic
362C2×C4⋊Dic61C2311yescharacteristic
363C2×#11758196—21no—
364C2×#11758196—21no—
365C2×#11758196—21no—
366C4⋊C4×D61C2311yescharacteristic
367C2×C22⋊Dic61—21no—
368C2×#11758198—21no—
369C22⋊C4×D61—21no—
370C2×C4×Dic61—21no—
371C2×C4×Dic61C2311yescharacteristic
372C2×C4×Dic61C2311yescharacteristic
373C42×D61C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61—21no—
436C2×#41×C61C2311yescharacteristic
437C22×D4×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C2×D8×C61C2311yescharacteristic
441C2×M16×C61C2311yescharacteristic
442C22×C8×C61C2311yescharacteristic
443C4⋊Q8×C61C2311yescharacteristic
444#124×C61C2311yescharacteristic
445#123×C61—21no—
446#123×C61—21no—
447#123×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61—21no—
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454#120×C61—21no—
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459C2×C4⋊C4×C61C2311yescharacteristic
460C2×C22⋊C4×C61—21no—
461#106×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×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
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C24×C61—21no—
479C23×D61—21no—
480#41×C61—22no—
481#41×C61—41no—
482#41×C61—44no—
483C2×Q8×C61—21no—
484C2×Q8×C61C2411yescharacteristic
485C2×D4×C61—22no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61—41no—
492C2×D4×C61C2×D411yescharacteristic
493C2×D4×C61C2411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C2×D4×C61C2411yescharacteristic
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61—21no—
501C22×C4×C61C2411yescharacteristic
502C22×C4×C61C2411yescharacteristic
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—44no—
511C2×C22⋊D61C2×D411yescharacteristic
512C2×C22⋊D61C2×D411yescharacteristic
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61—21no—
523C22×Dic61—82no—
524C22×Dic61C2×D411yescharacteristic
525C22×Dic61C2×D411yescharacteristic
526C22×Dic61C2×D411yescharacteristic
527C22×Dic61C2×D411yescharacteristic
528#11758224—42no—
529#11758224—82no—
530D4×D61—22no—
531D4×D61—41no—
532C2×D244C2411yescharacteristic
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—82no—
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2×D411yescharacteristic
539C2×C4×D61C2411yescharacteristic
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122C2×D411yescharacteristic
543C2×Dic122C2411yescharacteristic
544SD16×C61—41no—
545D8×C61—22no—
546D8×C61—41no—
547M16×C61—41no—
548C2×C8×C61—41no—
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
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×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61C2×D411yescharacteristic
571C22⋊C4×C61C2×D411yescharacteristic
572C42×C61C2411yescharacteristic
573C22⋊Dic61—21no—
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⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61C2×D411yescharacteristic
588C22⋊Dic61C2×D411yescharacteristic
589#11758202—41no—
590#11758200—22no—
591#11758200—41no—
592#11758199—41no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198C2×D411yescharacteristic
604#11758198C2×D411yescharacteristic
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⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
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
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C4×Dic61C2411yescharacteristic
665C4×Dic61C2411yescharacteristic
666#11758194—41no—
667C2×#92418—41no—
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672#11758190—41no—
673#11758189—41no—
674#11758189—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61—42no—
679C23×C61—42no—
680C23×C61—81no—
681C23×C61C22×D411yescharacteristic
682C23×C61C22×D411yescharacteristic
683C22×D61—21no—
684C22×D61—42no—
685C22×D61—42no—
686C22×D61—81no—
687C22×D61C22×D411yescharacteristic
688Q8×C61—21no—
689Q8×C61—21no—
690Q8×C61—42no—
691D4×C61—22no—
692D4×C61—21no—
693D4×C61—21no—
694D4×C61—21no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—42no—
698D4×C61—42no—
699D4×C61—42no—
700D4×C61—42no—
701D4×C61—81no—
702D4×C612−1+412yes—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—42no—
713C2×C4×C61—42no—
714C2×C4×C61—42no—
715C2×C4×C61—42no—
716C2×C4×C61—81no—
717C2×C4×C61C22×D411yescharacteristic
718C2×C4×C61C22×D411yescharacteristic
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C2511yescharacteristic
722C22⋊D61—22no—
723C22⋊D61—41no—
724C22⋊D61—42no—
725C22⋊D61—42no—
726C22⋊D61—42no—
727C22⋊D61—42no—
728C22⋊D61—81no—
729C22⋊D61—81no—
730C22⋊D61—81no—
731C2×Dic61—22no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—41no—
740C2×Dic61—41no—
741C2×Dic61—41no—
742C2×Dic61—42no—
743C2×Dic61—42no—
744C2×Dic61—42no—
745C2×Dic61—81no—
746C2×Dic61—81no—
747C2×Dic61—81no—
748C2×Dic61—81no—
749C2×Dic61—81no—
750C2×Dic61—81no—
751C2×Dic61—81no—
752C2×Dic61C22×D411yescharacteristic
753C2×Dic61C22×D411yescharacteristic
754C2×Dic61C22×D411yescharacteristic
755C2×Dic61C22×D411yescharacteristic
756C2×Dic61C22×D411yescharacteristic
757C2×Dic61C22×D411yescharacteristic
758C2×Dic61C22×D411yescharacteristic
759D244—21no—
760D244—21no—
761C4×D61—21no—
762C4×D61—21no—
763C4×D61—41no—
764C4×D61—41no—
765C4×D61—42no—
766C4×D61—81no—
767C4×D61—81no—
768Dic122—21no—
769Dic122—21no—
770Dic122—41no—
771Dic122—81no—
772Dic122—81no—
773C8×C61—21no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62119—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—22no—
786C22×C61—21no—
787C22×C61—21no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—84no—
797C22×C61#57512yes—
798C22×C61C23×D411yescharacteristic
799C2×D61—21no—
800C2×D61—21no—
801C2×D61—21no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—41no—
805C2×D61—84no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61C2×2−1+411yescharacteristic
816C4×C61#58511yescharacteristic
817Dic61—21no—
818Dic61—21no—
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—21no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831#3515—611no—
832#3481—611no—
833#3389—611no—
834#3388—611no—
835#3371—611no—
836#3370—611no—
837#3355—611no—
838#3351—611no—
839#3346—611no—
840#3346—611no—
841#3345—611no—
842#3344—611no—
843#3323—611no—
844#3322—611no—
845#3318—611no—
846#3314—611no—
847#3310—611no—
848#3306D6111yescharacteristic, complemented
849#3256—611no—
850#3251—611no—
851#3250—611no—
852#3240—611no—
853#3234—611no—
854#3232—611no—
855#3114—611no—
856#3111—611no—
857#3105—611no—
858#3080—611no—
859#3077—611no—
860C2×#478—611no—
861#2989—611no—
862C2×C61—22no—
863C2×C61—42no—
864C2×C61—41no—
865C2×C61—81no—
866C2×C61—81no—
867C2×C61#348911yescharacteristic
868C2×C61C2×#57511yescharacteristic
869C2×C61#358511yescharacteristic
870D61—41no—
871D61—81no—
872#559—611no—
873#557—611no—
874#554—611no—
875#554—611no—
876#554—611no—
877#554—611no—
878#553—611no—
879#553—611no—
880#553—611no—
881#553—611no—
882#553—1221no—
883#552—611no—
884#552—611no—
885#552—1221no—
886#552—1221no—
887#552—1221no—
888#551—1221no—
889#551—1221no—
890#547—1221no—
891#547C2×D6111yescharacteristic, complemented
892#546—611no—
893#546—1221no—
894#546C2×D6111yescharacteristic
895D42—611no—
896#541—1221no—
897#539—1221no—
898#539—1221no—
899#533—611no—
900#532—611no—
901#529—611no—
902#529—611no—
903#529—611no—
904#529—611no—
905#529—611no—
906#529—1221no—
907C2×#125—611no—
908C2×#125—611no—
909#525—1221no—
910#525—1221no—
911#520—1221no—
912C4×#41—611no—
913C4×#41—611no—
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—1221no—
917#501—611no—
918#501—611no—
919#501—611no—
920#501—611no—
921#499—611no—
922#499—611no—
923#490—611no—
924#490—611no—
925#489—611no—
926#489C2×D6111yescharacteristic, complemented
927#488—611no—
928#488—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#484—611no—
933#484—611no—
934#483—611no—
935#483C2×D6111yescharacteristic, complemented
936#482—611no—
937#482—611no—
938#482—611no—
939#481—611no—
940#481—611no—
941#481—611no—
942#481C2×D6111yescharacteristic, complemented
943#480—611no—
944#480—611no—
945#480—611no—
946#480—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478—611no—
962#478—611no—
963#478—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478—611no—
970#478—611no—
971#476—611no—
972#476C2×D6111yescharacteristic
973#475—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#470—611no—
978#469—611no—
979#469—611no—
980#469C2×D6111yescharacteristic, complemented
981#468—611no—
982#468—611no—
983#468—611no—
984#468—611no—
985#467—611no—
986#466—611no—
987#465—611no—
988#465C2×D6111yescharacteristic, complemented
989#464—611no—
990#464—611no—
991#464—611no—
992#463—611no—
993#463—611no—
994#463—611no—
995#463—611no—
996#463C2×D6111yescharacteristic, complemented
997#460—611no—
998#459—611no—
999#452—611no—
1000#450—611no—
1001#450—611no—
1002#449C2×D6111yescharacteristic
1003#447—611no—
1004#447C2×D6111yescharacteristic
1005#446—611no—
1006#446—611no—
1007#442—611no—
1008#442—611no—
1009#442C2×D6111yescharacteristic
1010#441—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×D8—611no—
1018C4×D8—611no—
1019#436—611no—
1020#436—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#435C2×D6111yescharacteristic, complemented
1025#432—611no—
1026#432—611no—
1027#431—611no—
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#428—611no—
1032C2×#107—611no—
1033C2×#106—611no—
1034#423—611no—
1035#423—611no—
1036C2×C4⋊C8—611no—
1037#418—611no—
1038#418—611no—
1039#417—611no—
1040#417C2×D6111yescharacteristic
1041C2×#102—611no—
1042C2×#102C2×D6111yescharacteristic
1043C61#6211911yescharacteristic, complemented, Sylow
1044C2×#41—21no—
1045C2×#41—611no—
1046C2×#41—1221no—
1047C2×#41C22×D6111yescharacteristic
1048C22×D4—611no—
1049C22×D4—1221no—
1050C22×D4C22×D6111yescharacteristic
1051C23×C4—1221no—
1052C23×C4—1221no—
1053C2×Q16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16—611no—
1057C2×SD16C22×D6111yescharacteristic
1058C2×D8—611no—
1059C2×D8C22×D6111yescharacteristic
1060C2×D8C22×D6111yescharacteristic
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16—611no—
1064C2×M16C22×D6111yescharacteristic
1065C22×C8—611no—
1066C22×C8C22×D6111yescharacteristic
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—1221no—
1070C4⋊Q8C22×D6111yescharacteristic
1071#127—611no—
1072#126—1221no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—611no—
1091#125—611no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#125—1221no—
1100#125—1221no—
1101#125—1221no—
1102#124—611no—
1103#124—611no—
1104#124—1221no—
1105#124—1221no—
1106#124C22×D6111yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124C22⋊Q8—21no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—611no—
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⋊Q8C22×D6111yescharacteristic
1142#121—21no—
1143#121—611no—
1144#121—611no—
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#121C22×D6111yescharacteristic
1155#121C22×D6111yescharacteristic
1156#121C22×D6111yescharacteristic
1157#120—21no—
1158#120—1221no—
1159#120—1221no—
1160#120—1221no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—611no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8—1221no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—1221no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4C22×D6111yescharacteristic
1232C2×C4⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4—21no—
1234C2×C22⋊C4—1221no—
1235C2×C22⋊C4—1221no—
1236C2×C22⋊C4—1221no—
1237C2×C42—611no—
1238C2×C42—611no—
1239C2×C42—611no—
1240C2×C42—1221no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107—611no—
1250#107—611no—
1251#107—611no—
1252#107—611no—
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106—611no—
1262#106C22×D6111yescharacteristic
1263#106C22×D6111yescharacteristic
1264#106C22×D6111yescharacteristic
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8—611no—
1273C4⋊C8—611no—
1274C4⋊C8C22×D6111yescharacteristic
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103C22×D6111yescharacteristic
1283#103C22×D6111yescharacteristic
1284#103C22×D6111yescharacteristic
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102C22×D6111yescharacteristic
1301#102C22×D6111yescharacteristic
1302#102C22×D6111yescharacteristic
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305#102C22×D6111yescharacteristic
1306#102C22×D6111yescharacteristic
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8C22×D6111yescharacteristic
1312C22⋊C8C22×D6111yescharacteristic
1313#97—611no—
1314#97—611no—
1315#97—611no—
1316#97C22×D6111yescharacteristic
1317C4×C8—611no—
1318C4×C8—611no—
1319C24—21no—
1320C24—1221no—
1321#41—22no—
1322#41—41no—
1323#41—44no—
1324#41—4882no—
1325#41—2442no—
1326C2×Q8—21no—
1327C2×Q8—611no—
1328C2×Q8—611no—
1329C2×Q8—1221no—
1330C2×Q8—1221no—
1331C2×Q8C23×D6111yescharacteristic
1332C2×D4—22no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—41no—
1339C2×D4—611no—
1340C2×D4—611no—
1341C2×D4—611no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1222no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—2441no—
1351C2×D4—2444no—
1352C2×D4D4×D6111yescharacteristic
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—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
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×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—4882no—
1382C22×C4—4882no—
1383C22×C4C23×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385Q16—2441no—
1386SD16—41no—
1387SD16—1222no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—22no—
1391D8—41no—
1392D8—2441no—
1393M16—41no—
1394M16—2441no—
1395M16—2441no—
1396M16—2441no—
1397C2×C8—41no—
1398C2×C8—611no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—2441no—
1403C2×C8C23×D6111yescharacteristic
1404C2×C8C23×D6111yescharacteristic
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—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⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4D4×D6111yescharacteristic
1456C4⋊C4C23×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C4⋊C4C23×D6111yescharacteristic
1459C4⋊C4C23×D6111yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—611no—
1469C22⋊C4—611no—
1470C22⋊C4—611no—
1471C22⋊C4—611no—
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⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4D4×D6111yescharacteristic
1497C22⋊C4D4×D6111yescharacteristic
1498C42—611no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—611no—
1506C42—611no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42—1221no—
1514C42—1221no—
1515C42C23×D6111yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—42no—
1520C23—42no—
1521C23—81no—
1522C23—611no—
1523C23—1221no—
1524C23—4881no—
1525C23—2442no—
1526C23—2442no—
1527C23C2×D4×D6111yescharacteristic
1528C23C2×D4×D6111yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—42no—
1532Q8—1221no—
1533Q8—1221no—
1534Q8—4881no—
1535Q8—4881no—
1536Q8—2441no—
1537D4—22no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—21no—
1543D4—42no—
1544D4—42no—
1545D4—42no—
1546D4—42no—
1547D4—81no—
1548D4—1222no—
1549D4—1221no—
1550D4—1221no—
1551D4—4881no—
1552D4—4881no—
1553D4—4881no—
1554D4—2441no—
1555D4—2442no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
1559D4#1451982412yes—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—42no—
1570C2×C4—42no—
1571C2×C4—42no—
1572C2×C4—42no—
1573C2×C4—81no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—611no—
1581C2×C4—1222no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—4881no—
1598C2×C4—4881no—
1599C2×C4—4881no—
1600C2×C4—2441no—
1601C2×C4—2441no—
1602C2×C4—2442no—
1603C2×C4—2441no—
1604C2×C4—2441no—
1605C2×C4—2441no—
1606C2×C4—2442no—
1607C2×C4—2442no—
1608C2×C4—2442no—
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C2×D4×D6111yescharacteristic
1613C2×C4C24×D6111yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C8—1221no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—22no—
1626C22—21no—
1627C22—21no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—84no—
1637C22—1221no—
1638C22—1221no—
1639C22—1221no—
1640C22—4884no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22#1684055812yes—
1645C22C22×D4×D6111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—1221no—
1656C4—1221no—
1657C4—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—1221no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C4C2×#1451982411yescharacteristic
1670C4#1684059711yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—42no—
1674C2—81no—
1675C2—81no—
1676C2—4881no—
1677C2—2441no—
1678C2#2145949011yescharacteristic
1679C2C2×#1684055811yescharacteristic
1680C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3306C2
socleC22×C61C23×D4
hypercenter#3306D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #21459788C2semidirect
2. #21459424C2semidirect
3. #21458778C2semidirect
4. #21458757C2semidirect
5. #21458586C2semidirect
6. #21458569C2semidirect
7. #21458420C2semidirect
8. #21458383C2semidirect
9. #21458310C2semidirect
10. #21458306C2semidirect
11. #21458289C2semidirect
12. #21458278C2semidirect
13. #21458036C2semidirect
14. #21458013C2semidirect
15. #21457964C2semidirect
16. #21457900C2semidirect
17. #21457836C2semidirect
18. #21457217C2semidirect
19. #21457174C2semidirect
20. #21457167C2semidirect
21. #21457056C2semidirect
22. #21457008C2semidirect
23. #21456990C2semidirect
24. #21455955C2semidirect
25. #21455921C2semidirect
26. #21455861C2semidirect
27. #21455639C2semidirect
28. #21455617C2semidirect
29. C2×#16840060C2semidirect
30. #21454931C2semidirect
31. C61×#3306C2semidirect
33. #16840487C22semidirect
36. #16840469C22semidirect
37. #16840469C22semidirect
39. #16840464C22semidirect
47. #16840447C22semidirect
57. #16840317C22semidirect
60. #16840294C22semidirect
61. #16840293C22semidirect
62. #16840293C22semidirect
65. C2×#14519768C22semidirect
66. C2×#14519768C22semidirect
75. #16840171C22semidirect
76. #16840169C22semidirect
77. #16840169C22semidirect
78. #16840168C22semidirect
79. #16840162C22semidirect
80. #16840162C22semidirect
83. #16840121C22semidirect
84. #16840118C22semidirect
85. #16840118C22semidirect
86. #16840104C22semidirect
87. #16840102C22semidirect
88. #16840102C22semidirect
89. #16840098C22semidirect
90. #16840095C22semidirect
91. #16840094C22semidirect
94. #16840083C22semidirect
96. #16840080C22semidirect
97. #16840078C22semidirect
98. #16840076C22semidirect
100. #16840074C22semidirect
101. #16840073C22semidirect
102. #16840072C22semidirect
103. #16840071C22semidirect
104. #16840071C22semidirect
105. #16840070C22semidirect
106. #16840067C22semidirect
107. #16840067C22semidirect
108. #16840067C22semidirect
111. #16840064C22semidirect
112. #16840062C22semidirect
113. #16840061C22semidirect
114. #16840061C22semidirect
115. #16840061C22semidirect
121. #16840060C22semidirect
122. #16840060C22semidirect
123. #16840060C22semidirect
124. #16840060C22semidirect
125. #16840060C22semidirect
126. #16840049C22semidirect
127. #16840046C22semidirect
128. #16840043C22semidirect
130. #16840040C22semidirect
131. #16840019C22semidirect
132. #16840013C22semidirect
134. #16840008C22semidirect
136. #16840006C22semidirect
137. #16840005C22semidirect
138. #16840001C22semidirect
141. #16839987C22semidirect
142. #16839982C22semidirect
143. #16839981C22semidirect
144. #16839979C22semidirect
145. #16839976C22semidirect
147. #16839975C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
157. #16839872C22semidirect
158. #16839866C22semidirect
159. #16839864C22semidirect
160. #16839863C22semidirect
164. #16839853C22semidirect
166. D8×Dic61C22semidirect
167. #16839838C22semidirect
168. #16839837C22semidirect
169. #16839834C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839804C22semidirect
176. #16839802C22semidirect
177. #16839801C22semidirect
178. #16839801C22semidirect
179. C2×#14519711C22semidirect
180. C2×#14519708C22semidirect
181. #16839785C22semidirect
182. #16839784C22semidirect
183. C2×#14519706C22semidirect
188. C61×#547C22semidirect
190. C61×#489C22semidirect
191. C61×#483C22semidirect
192. C61×#481C22semidirect
194. C61×#469C22semidirect
195. C61×#465C22semidirect
196. C61×#463C22semidirect
200. C61×#435C22semidirect
848. #3306D61semidirect
891. #547C2×D61semidirect
926. #489C2×D61semidirect
935. #483C2×D61semidirect
942. #481C2×D61semidirect
980. #469C2×D61semidirect
988. #465C2×D61semidirect
996. #463C2×D61semidirect
1024. #435C2×D61semidirect
1043. C61#62119semidirect

Maximal subgroups

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

subgroupindex
#214597882
#214594242
#214587782
#214587572
#214585862
#214585692
#214584202
#214583832
#214583102
#214583062
#214582892
#214582782
#214580362
#214580132
#214579642
#214579002
#214578362
#214572172
#214571742
#214571672
#214570562
#214570082
#214569902
#214559552
#214559212
#214558612
#214556392
#214556172
C2×#168400602
#214549312
C61×#33062
#6211961