Finite Group Databasebeta

← #30575973

Subgroups — #30575973

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#21459794C211yesmaximal, characteristic, complemented
2#21459420C211yesmaximal, characteristic, complemented
3#21458776C211yesmaximal, characteristic, complemented
4#21458769C211yesmaximal, characteristic, complemented
5#21458580C211yesmaximal, characteristic, complemented
6#21458567C211yesmaximal, characteristic, complemented
7#21458418C211yesmaximal, characteristic, complemented
8#21458374C211yesmaximal, characteristic, complemented
9#21458310C211yesmaximal, characteristic, complemented
10#21458306C211yesmaximal, characteristic, complemented
11#21458293C211yesmaximal, characteristic, complemented
12#21458274C211yesmaximal, characteristic, complemented
13#21458039C211yesmaximal, characteristic, complemented
14#21458016C211yesmaximal, characteristic, complemented
15#21457960C211yesmaximal, characteristic, complemented
16#21457904C211yesmaximal, characteristic, complemented
17#21457776C211yesmaximal, characteristic, complemented
18#21457216C211yesmaximal, characteristic, complemented
19#21457179C211yesmaximal, characteristic, complemented
20#21457167C211yesmaximal, characteristic, complemented
21#21457057C211yesmaximal, characteristic, complemented
22#21457004C211yesmaximal, characteristic, complemented
23#21456984C211yesmaximal, characteristic, complemented
24#21455958C211yesmaximal, characteristic, complemented
25#21455932C211yesmaximal, characteristic, complemented
26#21455867C211yesmaximal, characteristic, complemented
27#21455636C211yesmaximal, characteristic, complemented
28#21455613C211yesmaximal, characteristic, complemented
29C2×#16840060C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3310C211yesmaximal, characteristic, complemented
32#16840498C2211yescharacteristic
33#16840488C2211yescharacteristic, complemented
34#16840470C2211yescharacteristic, complemented
35#16840469C2211yescharacteristic
36#16840469C2211yescharacteristic
37#16840468C2211yescharacteristic, complemented
38#16840464—21no—
39#16840464C2211yescharacteristic
40#16840464C2211yescharacteristic
41#16840458C2211yescharacteristic
42#16840456C2211yescharacteristic, complemented
43#16840450—21no—
44#16840448—21no—
45#16840446C2211yescharacteristic, complemented
46#16840445—21no—
47#16840443—21no—
48#16840443—21no—
49#16840413C2211yescharacteristic, complemented
50#16840410—21no—
51#16840406—21no—
52#16840406C2211yescharacteristic
53#16840406C2211yescharacteristic
54#16840371—21no—
55#16840356—21no—
56#16840353—21no—
57#16840315C2211yescharacteristic, complemented
58#16840310C2211yescharacteristic
59#16840299C2211yescharacteristic, complemented
60#16840298C2211yescharacteristic, complemented
61#16840298C2211yescharacteristic, complemented
62#16840293—21no—
63#16840293C2211yescharacteristic
64#16840293C2211yescharacteristic
65C2×#14519768C2211yescharacteristic, complemented
66#125×D61C2211yescharacteristic, complemented
67#16840268—21no—
68#16840268—21no—
69#16840242—21no—
70C4×#11758224C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×D4×Dic61—21no—
73C2×D4×Dic61C2211yescharacteristic
74C2×D4×Dic61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840171C2211yescharacteristic, complemented
77#16840170C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840163C2211yescharacteristic, complemented
80#16840163C2211yescharacteristic, complemented
81#16840126C2211yescharacteristic
82#16840120C2211yescharacteristic, complemented
83#16840120C2211yescharacteristic, complemented
84#16840115C2211yescharacteristic, complemented
85#16840115C2211yescharacteristic, complemented
86#16840104C2211yescharacteristic, complemented
87#16840103C2211yescharacteristic, complemented
88#16840102C2211yescharacteristic, complemented
89#16840098C2211yescharacteristic, complemented
90#16840095C2211yescharacteristic, complemented
91#16840092C2211yescharacteristic, complemented
92#16840090C2211yescharacteristic, complemented
93#16840089C2211yescharacteristic, complemented
94#16840083C2211yescharacteristic
95#16840081C2211yescharacteristic, complemented
96#16840079C2211yescharacteristic, complemented
97#16840079C2211yescharacteristic, complemented
98#16840078C2211yescharacteristic
99#16840076C2211yescharacteristic, complemented
100#16840074C2211yescharacteristic, complemented
101#16840074C2211yescharacteristic, complemented
102#16840072C2211yescharacteristic, complemented
103#16840071C2211yescharacteristic, complemented
104#16840070C2211yescharacteristic, complemented
105#16840068C2211yescharacteristic, complemented
106#16840068C2211yescharacteristic, complemented
107#16840067C2211yescharacteristic, complemented
108#16840066C2211yescharacteristic, complemented
109#16840065C2211yescharacteristic, complemented
110#16840064C2211yescharacteristic
111#16840064C2211yescharacteristic, complemented
112#16840064C2211yescharacteristic, complemented
113#16840062C2211yescharacteristic
114#16840061C2211yescharacteristic, complemented
115#16840060C2211yescharacteristic
116#16840060C2211yescharacteristic
117#16840060C2211yescharacteristic
118#16840060C2211yescharacteristic
119#16840060C2211yescharacteristic, complemented
120#16840060C2211yescharacteristic, complemented
121#16840060C2211yescharacteristic, complemented
122#16840060C2211yescharacteristic, complemented
123#16840060C2211yescharacteristic, complemented
124#16840060C2211yescharacteristic, complemented
125#16840050C2211yescharacteristic
126#16840050C2211yescharacteristic, complemented
127#16840047C2211yescharacteristic, complemented
128#16840043C2211yescharacteristic, complemented
129#16840040C2211yescharacteristic
130#16840040C2211yescharacteristic, complemented
131#16840018C2211yescharacteristic, complemented
132#16840014C2211yescharacteristic, complemented
133#16840014C2211yescharacteristic, complemented
134#16840013C2211yescharacteristic
135#16840008C2211yescharacteristic, complemented
136#16840005C2211yescharacteristic, complemented
137#16840005C2211yescharacteristic, complemented
138#16840001C2211yescharacteristic, complemented
139#16839996C2211yescharacteristic
140#16839991C2211yescharacteristic, complemented
141#16839987C2211yescharacteristic, complemented
142#16839982C2211yescharacteristic, complemented
143#16839982C2211yescharacteristic, complemented
144#16839979C2211yescharacteristic
145#16839979C2211yescharacteristic, complemented
146#16839979C2211yescharacteristic, complemented
147#16839976C2211yescharacteristic, complemented
148#16839976C2211yescharacteristic, complemented
149#16839954C2211yescharacteristic
150#16839921C2211yescharacteristic
151#16839908C2211yescharacteristic
152#16839896C2211yescharacteristic
153#16839896C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839872C2211yescharacteristic
157#16839871C2211yescharacteristic
158#16839871C2211yescharacteristic, complemented
159#16839867C2211yescharacteristic, complemented
160#16839864C2211yescharacteristic, complemented
161#16839863C2211yescharacteristic
162#16839863C2211yescharacteristic, complemented
163SD16×Dic61C2211yescharacteristic
164SD16×Dic61C2211yescharacteristic, complemented
165#16839842C2211yescharacteristic
166#16839842C2211yescharacteristic, complemented
167#16839838C2211yescharacteristic, complemented
168#16839837C2211yescharacteristic, complemented
169#16839834C2211yescharacteristic
170#16839833C2211yescharacteristic, complemented
171#16839830C2211yescharacteristic, complemented
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839805C2211yescharacteristic, complemented
176#16839804C2211yescharacteristic, complemented
177#16839803C2211yescharacteristic, complemented
178#16839801C2211yescharacteristic, complemented
179C2×#14519711C2211yescharacteristic, complemented
180C2×#14519708C2211yescharacteristic, complemented
181#16839785C2211yescharacteristic, complemented
182#16839784C2211yescharacteristic, complemented
183C2×#14519706C2211yescharacteristic, complemented
184#16839767C2211yescharacteristic
185#16839760C2211yescharacteristic
186#16839760C2211yescharacteristic
187C2×#14519698C2211yescharacteristic
188C61×#552C2211yescharacteristic
189D42×C61C2211yescharacteristic
190C61×#490C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#480C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#468C2211yescharacteristic
195C61×#465C2211yescharacteristic
196C61×#460C2211yescharacteristic
197C61×#450C2211yescharacteristic
198C61×#450C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#418C2211yescharacteristic
202C2×#102×C61C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758224—21no—
205C2×#11758224D411yescharacteristic
206C2×#11758224C2311yescharacteristic
207C23×Dic61—21no—
208C23×Dic61—21no—
209C2×#11758202C2311yescharacteristic
210C2×#11758190C2311yescharacteristic
211C2×#11758199C2311yescharacteristic
212C2×#11758199C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214C2×#11758194C2311yescharacteristic
215C2×#11758189C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C22×#92418C2311yescharacteristic
218#14519777C2311yescharacteristic
219#14519776—21no—
220#14519776C2311yescharacteristic
221#14519776C2311yescharacteristic
222#14519772—21no—
223#14519772—21no—
224#14519772—21no—
225#14519772—21no—
226#14519771—21no—
227#14519770—21no—
228#14519770—21no—
229#14519770—21no—
230#14519770—21no—
231#14519770—21no—
232#14519769—21no—
233#14519769C2311yescharacteristic
234#14519768—21no—
235#14519768—21no—
236#14519768—21no—
237#14519768—21no—
238#14519768C2311yescharacteristic
239#14519768C2311yescharacteristic
240#14519768C2311yescharacteristic
241#14519768C2311yescharacteristic
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519767—21no—
246#14519767—21no—
247#14519767—21no—
248#14519767—21no—
249#14519766C2311yescharacteristic
250#14519764—21no—
251#14519764—21no—
252#14519764C2311yescharacteristic
253#14519764C2311yescharacteristic
254#14519762—21no—
255#14519762—21no—
256#14519761—21no—
257#14519761—21no—
258#14519761—21no—
259#14519761—21no—
260#14519760—21no—
261#14519759—21no—
262#14519759—21no—
263#14519759—21no—
264#14519758—21no—
265#14519758—21no—
266#14519758—21no—
267#14519758—21no—
268#14519758—21no—
269#14519758—21no—
270#14519757—21no—
271#14519757—21no—
272#14519756—21no—
273#14519756C2311yescharacteristic
274#14519756C2311yescharacteristic
275#14519755—21no—
276#14519755—21no—
277#14519755—21no—
278#14519754—21no—
279#14519754—21no—
280#14519754—21no—
281#14519754—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519753C2311yescharacteristic
286#14519752C2311yescharacteristic
287#14519751C2311yescharacteristic
288#14519751C2311yescharacteristic
289#14519750—21no—
290#14519749—21no—
291#14519749—21no—
292#14519749—21no—
293#14519749—21no—
294#14519749—21no—
295#14519748—21no—
296#14519748C2311yescharacteristic
297#14519748C2311yescharacteristic
298#14519746—21no—
299#14519746—21no—
300Q8×Dic61C2311yescharacteristic
301Q8×Dic61C2311yescharacteristic
302C4×Dic122—21no—
303C4×Dic122—21no—
304C4×Dic122—21no—
305C4×Dic122C2311yescharacteristic
306C4×Dic122C2311yescharacteristic
307#14519742D411yescharacteristic
308#14519742C2311yescharacteristic
309C4×D244—21no—
310C4×D244—21no—
311C4×D244C2311yescharacteristic
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×Dic61—21no—
321D4×Dic61—21no—
322D4×Dic61—21no—
323D4×Dic61D411yescharacteristic
324D4×Dic61C2311yescharacteristic
325D4×Dic61C2311yescharacteristic
326D4×Dic61C2311yescharacteristic
327D4×Dic61C2311yescharacteristic
328D4×Dic61C2311yescharacteristic
329D4×Dic61C2311yescharacteristic
330D4×Dic61C2311yescharacteristic
331#14519739C2311yescharacteristic
332#14519739C2311yescharacteristic
333C4×C22⋊D61—21no—
334C4×C22⋊D61C2311yescharacteristic
335C4×C22⋊D61C2311yescharacteristic
336#14519737—21no—
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737D411yescharacteristic
342#14519737D411yescharacteristic
343#14519736C2311yescharacteristic
344#14519735—21no—
345#14519735—21no—
346#14519735—21no—
347#14519735D411yescharacteristic
348#14519735C2311yescharacteristic
349#14519734—21no—
350#14519733—21no—
351#14519733—21no—
352#14519733—21no—
353#14519733D411yescharacteristic
354#14519733D411yescharacteristic
355C2×C4⋊Dic61—21no—
356C2×C4⋊Dic61—21no—
357C2×C4⋊Dic61C2311yescharacteristic
358C2×C4⋊Dic61C2311yescharacteristic
359C2×C4⋊Dic61C2311yescharacteristic
360C2×#11758196—21no—
361C4⋊C4×D61—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61C2311yescharacteristic
365C4⋊C4×D61C2311yescharacteristic
366C2×C22⋊Dic61—21no—
367C2×C22⋊Dic61—21no—
368C2×C22⋊Dic61—21no—
369C2×C22⋊Dic61—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#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
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#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C22×D4×C61—21no—
436C22×D4×C61C2311yescharacteristic
437C22×D4×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×M16×C61C2311yescharacteristic
442C22×C8×C61C2311yescharacteristic
443#127×C61C2311yescharacteristic
444#126×C61—21no—
445#125×C61—21no—
446#125×C61C2311yescharacteristic
447#123×C61—21no—
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61—21no—
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453#120×C61—21no—
454#120×C61—21no—
455C4×Q8×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458#117×C61—21no—
459#117×C61C2311yescharacteristic
460C2×C4⋊C4×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#102×C61C2311yescharacteristic
467#102×C61C2311yescharacteristic
468#102×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C24×C61—21no—
479C24×C61—21no—
480C2×Q8×C61C2411yescharacteristic
481C2×D4×C61—22no—
482C2×D4×C61—22no—
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—41no—
490C2×D4×C61—41no—
491C2×D4×C61—44no—
492C2×D4×C61C2×D411yescharacteristic
493C2×D4×C61C2411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C2×D4×C61C2411yescharacteristic
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61C2411yescharacteristic
499C22×C4×C61C2411yescharacteristic
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61C2×D411yescharacteristic
506C2×C22⋊D61C2×D411yescharacteristic
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×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—82no—
519C22×Dic61—82no—
520C22×Dic61C2×D411yescharacteristic
521C22×Dic61C2×D411yescharacteristic
522C22×Dic61C2×D411yescharacteristic
523C22×Dic61C2×D411yescharacteristic
524#11758224—22no—
525#11758224—41no—
526#11758224—42no—
527#11758224—82no—
528#11758222—44no—
529C2×D244—21no—
530C2×D244C2411yescharacteristic
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122C2×D411yescharacteristic
543C2×Dic122C2411yescharacteristic
544SD16×C61—22no—
545SD16×C61—41no—
546SD16×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×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61C2×D411yescharacteristic
571C22⋊C4×C61C2×D411yescharacteristic
572C42×C61—21no—
573C42×C61—21no—
574C42×C61C2411yescharacteristic
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⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61C2×D411yescharacteristic
592C22⋊Dic61C2×D411yescharacteristic
593#11758202—41no—
594#11758199—22no—
595#11758199—41no—
596#11758199—41no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198C2×D411yescharacteristic
608#11758198C2×D411yescharacteristic
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⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61C2×D411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
646#11758196—21no—
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
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—42no—
681C23×C61—42no—
682C23×C61—81no—
683C23×C61—81no—
684C23×C61C22×D411yescharacteristic
685C23×C61C22×D411yescharacteristic
686C22×D61—21no—
687C22×D61C22×D411yescharacteristic
688Q8×C61—21no—
689Q8×C61—21no—
690D4×C61—22no—
691D4×C61—21no—
692D4×C61—21no—
693D4×C61—21no—
694D4×C61—21no—
695D4×C61—21no—
696D4×C61—42no—
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×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C22×D411yescharacteristic
718C2×C4×C61C2511yescharacteristic
719C22⋊D61—22no—
720C22⋊D61—41no—
721C22⋊D61—42no—
722C22⋊D61—42no—
723C22⋊D61—81no—
724C22⋊D61—81no—
725C22⋊D61—81no—
726C2×Dic61—22no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—41no—
735C2×Dic61—41no—
736C2×Dic61—41no—
737C2×Dic61—42no—
738C2×Dic61—42no—
739C2×Dic61—42no—
740C2×Dic61—42no—
741C2×Dic61—81no—
742C2×Dic61—81no—
743C2×Dic61—81no—
744C2×Dic61—81no—
745C2×Dic61—81no—
746C2×Dic61—81no—
747C2×Dic61—81no—
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752C2×Dic61C22×D411yescharacteristic
753C2×Dic61C22×D411yescharacteristic
754C2×Dic61C22×D411yescharacteristic
755D244—21no—
756D244—21no—
757D244—42no—
758C4×D61—21no—
759C4×D61—21no—
760C4×D61—41no—
761C4×D61—41no—
762C4×D61—42no—
763C4×D61—42no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767Dic122—21no—
768Dic122—21no—
769Dic122—41no—
770Dic122—42no—
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—84no—
798C22×C61#57512yes—
799C22×C61C23×D411yescharacteristic
800C2×D61—21no—
801C2×D61—21no—
802C2×D61—21no—
803C2×D61—41no—
804C2×D61—41no—
805C2×D61—41no—
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#3310D6111yescharacteristic, complemented
848#3306—611no—
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—41no—
864C2×C61—42no—
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—1221no—
885#552—1221no—
886#552—1221no—
887#552C2×D6111yescharacteristic
888#551—1221no—
889#551—1221no—
890#547—611no—
891#547—1221no—
892#546—611no—
893#546—611no—
894#546—1221no—
895D42C2×D6111yescharacteristic
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#490C2×D6111yescharacteristic
925#489—611no—
926#489—611no—
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#483—611no—
936#482—611no—
937#482—611no—
938#482C2×D6111yescharacteristic
939#481—611no—
940#481—611no—
941#481—611no—
942#481—611no—
943#480—611no—
944#480—611no—
945#480—611no—
946#480C2×D6111yescharacteristic
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#478C2×D6111yescharacteristic
971#476—611no—
972#476—611no—
973#475—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#470—611no—
978#469—611no—
979#469—611no—
980#469—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#468C2×D6111yescharacteristic
985#467—611no—
986#466—611no—
987#465—611no—
988#465C2×D6111yescharacteristic
989#464—611no—
990#464—611no—
991#464—611no—
992#463—611no—
993#463—611no—
994#463—611no—
995#463—611no—
996#463—611no—
997#460C2×D6111yescharacteristic
998#459—611no—
999#452—611no—
1000#450C2×D6111yescharacteristic
1001#450C2×D6111yescharacteristic
1002#449—611no—
1003#447—611no—
1004#447—611no—
1005#446—611no—
1006#446—611no—
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#441—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440C2×D6111yescharacteristic
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
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#418C2×D6111yescharacteristic
1039#417—611no—
1040#417—611no—
1041C2×#102—611no—
1042C2×#102C2×D6111yescharacteristic
1043C61#6211911yescharacteristic, complemented, Sylow
1044C2×#41—611no—
1045C2×#41—611no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C22×D4—21no—
1049C22×D4C22×D6111yescharacteristic
1050C22×D4C22×D6111yescharacteristic
1051C23×C4—1221no—
1052C23×C4—1221no—
1053C2×Q16—611no—
1054C2×SD16—611no—
1055C2×SD16C22×D6111yescharacteristic
1056C2×SD16C22×D6111yescharacteristic
1057C2×SD16C22×D6111yescharacteristic
1058C2×D8—611no—
1059C2×D8—611no—
1060C2×D8—611no—
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—611no—
1070C4⋊Q8—1221no—
1071#127C22×D6111yescharacteristic
1072#126—21no—
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—21no—
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#125C22×D6111yescharacteristic
1102#124—611no—
1103#124—611no—
1104#124—611no—
1105#124—1221no—
1106#124—1221no—
1107#123—21no—
1108#123—1221no—
1109#123—1221no—
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—611no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8C22×D6111yescharacteristic
1141C22⋊Q8C22×D6111yescharacteristic
1142#121—21no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—611no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121C22×D6111yescharacteristic
1156#121C22×D6111yescharacteristic
1157#120—21no—
1158#120—21no—
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—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8C22×D6111yescharacteristic
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—611no—
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×D4—1221no—
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—21no—
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#117C22×D6111yescharacteristic
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C4⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4—1221no—
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#107C22×D6111yescharacteristic
1252#107C22×D6111yescharacteristic
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#106—611no—
1263#106—611no—
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#103—611no—
1283#103—611no—
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#102C22×D6111yescharacteristic
1299#102C22×D6111yescharacteristic
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—21no—
1321#41—1222no—
1322#41—4882no—
1323#41—2444no—
1324#41—2442no—
1325#41—2441no—
1326C2×Q8—611no—
1327C2×Q8—611no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8—1221no—
1331C2×Q8C23×D6111yescharacteristic
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—44no—
1343C2×D4—611no—
1344C2×D4—611no—
1345C2×D4—611no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—1221no—
1352C2×D4D4×D6111yescharacteristic
1353C2×D4C23×D6111yescharacteristic
1354C2×D4C23×D6111yescharacteristic
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—611no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
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×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—4882no—
1382C22×C4—4882no—
1383C22×C4C23×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385Q16—2441no—
1386SD16—22no—
1387SD16—41no—
1388SD16—41no—
1389SD16—2441no—
1390D8—1222no—
1391D8—2441no—
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—21no—
1412C4⋊C4—21no—
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—611no—
1423C4⋊C4—611no—
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—611no—
1467C22⋊C4—611no—
1468C22⋊C4—611no—
1469C22⋊C4—611no—
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⋊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—21no—
1499C42—21no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—611no—
1506C42—611no—
1507C42—611no—
1508C42—611no—
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—42no—
1522C23—42no—
1523C23—81no—
1524C23—81no—
1525C23—611no—
1526C23—1221no—
1527C23C2×D4×D6111yescharacteristic
1528C23C2×D4×D6111yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—1221no—
1532Q8—1221no—
1533Q8—4881no—
1534Q8—4881no—
1535Q8—2441no—
1536Q8—2442no—
1537D4—22no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—21no—
1543D4—42no—
1544D4—42no—
1545D4—42no—
1546D4—42no—
1547D4—42no—
1548D4—81no—
1549D4—1222no—
1550D4—1221no—
1551D4—1221no—
1552D4—4881no—
1553D4—4881no—
1554D4—4881no—
1555D4—2442no—
1556D4—2441no—
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—611no—
1572C2×C4—611no—
1573C2×C4—611no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—1222no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—4881no—
1589C2×C4—4881no—
1590C2×C4—4881no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—4881no—
1598C2×C4—2441no—
1599C2×C4—2441no—
1600C2×C4—2442no—
1601C2×C4—2442no—
1602C2×C4—2441no—
1603C2×C4—2441no—
1604C2×C4—2441no—
1605C2×C4—2442no—
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—84no—
1638C22—1221no—
1639C22—1221no—
1640C22—1221no—
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×#3310C2
socleC22×C61C23×D4
hypercenter#3310D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #21459794C2semidirect
2. #21459420C2semidirect
3. #21458776C2semidirect
4. #21458769C2semidirect
5. #21458580C2semidirect
6. #21458567C2semidirect
7. #21458418C2semidirect
8. #21458374C2semidirect
9. #21458310C2semidirect
10. #21458306C2semidirect
11. #21458293C2semidirect
12. #21458274C2semidirect
13. #21458039C2semidirect
14. #21458016C2semidirect
15. #21457960C2semidirect
16. #21457904C2semidirect
17. #21457776C2semidirect
18. #21457216C2semidirect
19. #21457179C2semidirect
20. #21457167C2semidirect
21. #21457057C2semidirect
22. #21457004C2semidirect
23. #21456984C2semidirect
24. #21455958C2semidirect
25. #21455932C2semidirect
26. #21455867C2semidirect
27. #21455636C2semidirect
28. #21455613C2semidirect
29. C2×#16840060C2semidirect
30. #21454931C2semidirect
31. C61×#3310C2semidirect
33. #16840488C22semidirect
34. #16840470C22semidirect
37. #16840468C22semidirect
42. #16840456C22semidirect
45. #16840446C22semidirect
49. #16840413C22semidirect
57. #16840315C22semidirect
59. #16840299C22semidirect
60. #16840298C22semidirect
61. #16840298C22semidirect
65. C2×#14519768C22semidirect
66. #125×D61C22semidirect
75. #16840172C22semidirect
76. #16840171C22semidirect
77. #16840170C22semidirect
78. #16840169C22semidirect
79. #16840163C22semidirect
80. #16840163C22semidirect
82. #16840120C22semidirect
83. #16840120C22semidirect
84. #16840115C22semidirect
85. #16840115C22semidirect
86. #16840104C22semidirect
87. #16840103C22semidirect
88. #16840102C22semidirect
89. #16840098C22semidirect
90. #16840095C22semidirect
91. #16840092C22semidirect
92. #16840090C22semidirect
93. #16840089C22semidirect
95. #16840081C22semidirect
96. #16840079C22semidirect
97. #16840079C22semidirect
99. #16840076C22semidirect
100. #16840074C22semidirect
101. #16840074C22semidirect
102. #16840072C22semidirect
103. #16840071C22semidirect
104. #16840070C22semidirect
105. #16840068C22semidirect
106. #16840068C22semidirect
107. #16840067C22semidirect
108. #16840066C22semidirect
109. #16840065C22semidirect
111. #16840064C22semidirect
112. #16840064C22semidirect
114. #16840061C22semidirect
119. #16840060C22semidirect
120. #16840060C22semidirect
121. #16840060C22semidirect
122. #16840060C22semidirect
123. #16840060C22semidirect
124. #16840060C22semidirect
126. #16840050C22semidirect
127. #16840047C22semidirect
128. #16840043C22semidirect
130. #16840040C22semidirect
131. #16840018C22semidirect
132. #16840014C22semidirect
133. #16840014C22semidirect
135. #16840008C22semidirect
136. #16840005C22semidirect
137. #16840005C22semidirect
138. #16840001C22semidirect
140. #16839991C22semidirect
141. #16839987C22semidirect
142. #16839982C22semidirect
143. #16839982C22semidirect
145. #16839979C22semidirect
146. #16839979C22semidirect
147. #16839976C22semidirect
148. #16839976C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
158. #16839871C22semidirect
159. #16839867C22semidirect
160. #16839864C22semidirect
162. #16839863C22semidirect
164. SD16×Dic61C22semidirect
166. #16839842C22semidirect
167. #16839838C22semidirect
168. #16839837C22semidirect
170. #16839833C22semidirect
171. #16839830C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839805C22semidirect
176. #16839804C22semidirect
177. #16839803C22semidirect
178. #16839801C22semidirect
179. C2×#14519711C22semidirect
180. C2×#14519708C22semidirect
181. #16839785C22semidirect
182. #16839784C22semidirect
183. C2×#14519706C22semidirect
847. #3310D61semidirect
1043. C61#62119semidirect

Maximal subgroups

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

subgroupindex
#214597942
#214594202
#214587762
#214587692
#214585802
#214585672
#214584182
#214583742
#214583102
#214583062
#214582932
#214582742
#214580392
#214580162
#214579602
#214579042
#214577762
#214572162
#214571792
#214571672
#214570572
#214570042
#214569842
#214559582
#214559322
#214558672
#214556362
#214556132
C2×#168400602
#214549312
C61×#33102
#6211961