Finite Group Databasebeta

← #30575999

Subgroups — #30575999

Order 15616.

1708 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459434C211yesmaximal, characteristic, complemented
2#21458782C211yesmaximal, characteristic, complemented
3#21458764C211yesmaximal, characteristic, complemented
4#21458661C211yesmaximal, characteristic, complemented
5#21458646C211yesmaximal, characteristic, complemented
6#21458388C211yesmaximal, characteristic, complemented
7#21458373C211yesmaximal, characteristic, complemented
8#21458283C211yesmaximal, characteristic, complemented
9#21458268C211yesmaximal, characteristic, complemented
10#21458259C211yesmaximal, characteristic, complemented
11#21458253C211yesmaximal, characteristic, complemented
12#21458081C211yesmaximal, characteristic, complemented
13#21458066C211yesmaximal, characteristic, complemented
14#21457984C211yesmaximal, characteristic, complemented
15#21457924C211yesmaximal, characteristic, complemented
16#21457864C211yesmaximal, characteristic, complemented
17#21457804C211yesmaximal, characteristic, complemented
18#21457215C211yesmaximal, characteristic, complemented
19#21457192C211yesmaximal, characteristic, complemented
20#21457166C211yesmaximal, characteristic, complemented
21#21457059C211yesmaximal, characteristic, complemented
22#21457025C211yesmaximal, characteristic, complemented
23#21456987C211yesmaximal, characteristic, complemented
24#21455986C211yesmaximal, characteristic, complemented
25#21455922C211yesmaximal, characteristic, complemented
26#21455895C211yesmaximal, characteristic, complemented
27#21455637C211yesmaximal, characteristic, complemented
28#21455620C211yesmaximal, characteristic, complemented
29C2×#16840066C211yesmaximal, characteristic, complemented
30#21454936C211yesmaximal, characteristic, complemented
31C61×#3515C211yesmaximal, characteristic, complemented
32#16840490C2211yescharacteristic
33#16840485C2211yescharacteristic
34#16840480—21no—
35#16840452C2211yescharacteristic
36#16840452C2211yescharacteristic
37#16840445—21no—
38#16840445—21no—
39D4×Dic122C2211yescharacteristic
40#16840421C2211yescharacteristic
41#16840421C2211yescharacteristic
42#16840416C2211yescharacteristic
43#16840411—21no—
44#16840319C2211yescharacteristic
45#16840316—21no—
46#16840296C2211yescharacteristic
47#16840296C2211yescharacteristic
48#16840292—21no—
49#16840292—21no—
50C4×#11758222C2211yescharacteristic
51C4×#11758224—21no—
52C2×C4×Dic122C2211yescharacteristic
53C2×C4×Dic122C2211yescharacteristic
54#16840172C2211yescharacteristic
55#16840172C2211yescharacteristic
56#16840168C2211yescharacteristic
57#16840168C2211yescharacteristic
58#16840161C2211yescharacteristic
59#16840161C2211yescharacteristic
60#16840132C2211yescharacteristic
61#16840132C2211yescharacteristic
62#16840124C2211yescharacteristic
63#16840124C2211yescharacteristic
64#16840119C2211yescharacteristic
65#16840119C2211yescharacteristic
66#16840103C2211yescharacteristic
67#16840103C2211yescharacteristic
68#16840100C2211yescharacteristic
69#16840097C2211yescharacteristic
70#16840097C2211yescharacteristic
71#16840097C2211yescharacteristic
72#16840095C2211yescharacteristic
73#16840092C2211yescharacteristic
74#16840092C2211yescharacteristic
75#16840092C2211yescharacteristic
76#16840090C2211yescharacteristic
77#16840086C2211yescharacteristic
78#16840086C2211yescharacteristic
79#16840083C2211yescharacteristic
80#16840080C2211yescharacteristic
81#16840078C2211yescharacteristic
82#16840075C2211yescharacteristic
83#16840073C2211yescharacteristic
84#16840069C2211yescharacteristic
85#16840069C2211yescharacteristic
86#16840066C2211yescharacteristic
87#16840066C2211yescharacteristic
88#16840066C2211yescharacteristic
89#16840066C2211yescharacteristic
90#16840066C2211yescharacteristic
91#16840066C2211yescharacteristic
92#16840066C2211yescharacteristic
93#16840066C2211yescharacteristic
94#16840066C2211yescharacteristic
95#16840066C2211yescharacteristic
96#16840066C2211yescharacteristic
97#16840066C2211yescharacteristic
98#16840066C2211yescharacteristic
99#16840066C2211yescharacteristic
100#16840066C2211yescharacteristic
101#16840062C2211yescharacteristic
102#16840062C2211yescharacteristic
103#16840059C2211yescharacteristic
104#16840059C2211yescharacteristic
105#16840059C2211yescharacteristic
106#16840059C2211yescharacteristic
107#16840059C2211yescharacteristic
108#16840057C2211yescharacteristic
109#16840054C2211yescharacteristic
110#16840054C2211yescharacteristic
111#16840052C2211yescharacteristic
112#16840044C2211yescharacteristic
113#16840044C2211yescharacteristic
114#16840018C2211yescharacteristic
115#16840018C2211yescharacteristic
116#16840018C2211yescharacteristic
117#16840013C2211yescharacteristic
118#16840010C2211yescharacteristic
119#16840006C2211yescharacteristic
120#16840006C2211yescharacteristic
121#16840006C2211yescharacteristic
122#16840001C2211yescharacteristic
123#16839996C2211yescharacteristic
124#16839993C2211yescharacteristic
125#16839989C2211yescharacteristic
126#16839984C2211yescharacteristic
127#16839984C2211yescharacteristic
128#16839981C2211yescharacteristic
129#16839981C2211yescharacteristic
130#16839981C2211yescharacteristic
131#16839977C2211yescharacteristic
132#16839977C2211yescharacteristic
133#16839974C2211yescharacteristic
134#16839972C2211yescharacteristic
135#16839967C2211yescharacteristic
136#16839922C2211yescharacteristic
137#16839917C2211yescharacteristic
138#16839917C2211yescharacteristic
139#16839905C2211yescharacteristic
140#16839900C2211yescharacteristic
141#16839900C2211yescharacteristic
142#16839893C2211yescharacteristic
143#16839893C2211yescharacteristic
144#16839872C2211yescharacteristic
145#16839867C2211yescharacteristic
146#16839867C2211yescharacteristic
147#16839867C2211yescharacteristic
148#16839862C2211yescharacteristic
149#16839862C2211yescharacteristic
150#16839862C2211yescharacteristic
151#16839860C2211yescharacteristic
152C4×#11758202C2211yescharacteristic
153C4×#11758202C2211yescharacteristic
154C4×#11758200C2211yescharacteristic
155C4×#11758200C2211yescharacteristic
156#16839840C2211yescharacteristic
157#16839840C2211yescharacteristic
158#16839834C2211yescharacteristic
159#16839834C2211yescharacteristic
160#16839834C2211yescharacteristic
161#16839834C2211yescharacteristic
162#16839819C2211yescharacteristic
163#16839819C2211yescharacteristic
164#16839815C2211yescharacteristic
165#16839805C2211yescharacteristic
166#16839805C2211yescharacteristic
167#16839802C2211yescharacteristic
168#16839802C2211yescharacteristic
169C2×#14519710C2211yescharacteristic
170C2×#14519708C2211yescharacteristic
171#16839786C2211yescharacteristic
172#16839786C2211yescharacteristic
173C2×C4⋊#92418C2211yescharacteristic
174#16839770C2211yescharacteristic
175#16839770C2211yescharacteristic
176#16839761C2211yescharacteristic
177#16839761C2211yescharacteristic
178C2×#14519700C2211yescharacteristic
179C2×#14519700C2211yescharacteristic
180C61×#557C2211yescharacteristic
181C61×#554C2211yescharacteristic
182C61×#554C2211yescharacteristic
183C61×#553C2211yescharacteristic
184C61×#553C2211yescharacteristic
185C61×#552—21no—
186C61×#552—21no—
187C61×#552—21no—
188C61×#552C2211yescharacteristic
189C61×#552C2211yescharacteristic
190C61×#547—21no—
191C61×#547C2211yescharacteristic
192C61×#541—21no—
193C61×#539—21no—
194C61×#539—21no—
195C61×#533C2211yescharacteristic
196C61×#529C2211yescharacteristic
197C61×#529C2211yescharacteristic
198C61×#529C2211yescharacteristic
199C2×#125×C61C2211yescharacteristic
200C2×#125×C61C2211yescharacteristic
201C61×#520—21no—
202C4×#41×C61C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×#11758224—21no—
205C22×Dic122C2311yescharacteristic
206C22×Dic122C2311yescharacteristic
207C2×#11758202C2311yescharacteristic
208C2×#11758202C2311yescharacteristic
209C2×#11758202C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758200C2311yescharacteristic
213C2×#11758201C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758194C2311yescharacteristic
216C2×#11758194C2311yescharacteristic
217C2×#11758194C2311yescharacteristic
218C2×#11758194C2311yescharacteristic
219C22×#92418C2311yescharacteristic
220C22×#92418C2311yescharacteristic
221#14519777C2311yescharacteristic
222#14519777C2311yescharacteristic
223#14519776—21no—
224#14519775—21no—
225#14519772—21no—
226#14519772—21no—
227#14519771—21no—
228#14519771—21no—
229#14519770—21no—
230#14519770—21no—
231#14519769—21no—
232#14519769C2311yescharacteristic
233#14519769C2311yescharacteristic
234#14519767—21no—
235#14519767—21no—
236#14519767—21no—
237#14519767—21no—
238#14519765C2311yescharacteristic
239#14519765C2311yescharacteristic
240#14519763—21no—
241#14519763—21no—
242#14519761—21no—
243#14519761—21no—
244#14519760—21no—
245#14519760—21no—
246#14519758—21no—
247#14519758—21no—
248#14519757—21no—
249#14519756—21no—
250#14519756C2311yescharacteristic
251#14519756C2311yescharacteristic
252#14519756C2311yescharacteristic
253#14519756C2311yescharacteristic
254#14519755—21no—
255#14519755—21no—
256#14519754—21no—
257#14519754—21no—
258#14519753—21no—
259#14519751C2311yescharacteristic
260#14519751C2311yescharacteristic
261#14519749—21no—
262#14519749—21no—
263C4×Dic122—21no—
264C4×Dic122—21no—
265C4×Dic122—21no—
266C4×Dic122—21no—
267C4×Dic122—21no—
268C4×Dic122C2311yescharacteristic
269C4×Dic122C2311yescharacteristic
270C4×Dic122C2311yescharacteristic
271C4×Dic122C2311yescharacteristic
272C4×Dic122C2311yescharacteristic
273C4×Dic122C2311yescharacteristic
274C4×Dic122C2311yescharacteristic
275C4×Dic122C2311yescharacteristic
276#14519742—21no—
277C4×D244C2311yescharacteristic
278C4×D244C2311yescharacteristic
279D4×Dic61—21no—
280C4×C22⋊D61—21no—
281C4×C22⋊D61—21no—
282C4×C22⋊D61—21no—
283C4×C22⋊D61—21no—
284#14519737—21no—
285#14519737—21no—
286#14519736—21no—
287#14519736C2311yescharacteristic
288#14519735—21no—
289#14519734—21no—
290#14519734—21no—
291#14519734—21no—
292#14519733—21no—
293#14519733—21no—
294C2×C4⋊Dic61C2311yescharacteristic
295C2×C4⋊Dic61C2311yescharacteristic
296C2×#11758196—21no—
297C2×#11758196—21no—
298C2×C4×Dic61—21no—
299C2×C4×Dic61—21no—
300C42×D61—21no—
301#14519710C2311yescharacteristic
302#14519710C2311yescharacteristic
303#14519710C2311yescharacteristic
304#14519710C2311yescharacteristic
305#14519710C2311yescharacteristic
306#14519710C2311yescharacteristic
307#14519710C2311yescharacteristic
308#14519710C2311yescharacteristic
309#14519710C2311yescharacteristic
310#14519710C2311yescharacteristic
311#14519710C2311yescharacteristic
312#14519710C2311yescharacteristic
313#14519708C2311yescharacteristic
314#14519708C2311yescharacteristic
315#14519708C2311yescharacteristic
316#14519708C2311yescharacteristic
317#14519708C2311yescharacteristic
318#14519708C2311yescharacteristic
319#14519708C2311yescharacteristic
320#14519708C2311yescharacteristic
321#14519708C2311yescharacteristic
322#14519708C2311yescharacteristic
323#14519708C2311yescharacteristic
324#14519708C2311yescharacteristic
325C4⋊#92418C2311yescharacteristic
326C4⋊#92418C2311yescharacteristic
327C4⋊#92418C2311yescharacteristic
328C4⋊#92418C2311yescharacteristic
329C4⋊#92418C2311yescharacteristic
330C4⋊#92418C2311yescharacteristic
331C4⋊#92418C2311yescharacteristic
332C4⋊#92418C2311yescharacteristic
333C4⋊#92418C2311yescharacteristic
334C4⋊#92418C2311yescharacteristic
335#14519701C2311yescharacteristic
336#14519701C2311yescharacteristic
337#14519701C2311yescharacteristic
338#14519701C2311yescharacteristic
339#14519700C2311yescharacteristic
340#14519700C2311yescharacteristic
341#14519700C2311yescharacteristic
342#14519700C2311yescharacteristic
343#14519700C2311yescharacteristic
344#14519700C2311yescharacteristic
345#14519700C2311yescharacteristic
346#14519700C2311yescharacteristic
347#14519700C2311yescharacteristic
348#14519700C2311yescharacteristic
349#14519700C2311yescharacteristic
350#14519700C2311yescharacteristic
351#14519700C2311yescharacteristic
352#14519700C2311yescharacteristic
353#14519700C2311yescharacteristic
354#14519700C2311yescharacteristic
355#14519700C2311yescharacteristic
356#14519700C2311yescharacteristic
357#14519698C2311yescharacteristic
358#14519698C2311yescharacteristic
359#14519698C2311yescharacteristic
360#14519698C2311yescharacteristic
361#14519697C2311yescharacteristic
362#14519697C2311yescharacteristic
363#14519697C2311yescharacteristic
364#14519697C2311yescharacteristic
365#14519697C2311yescharacteristic
366#14519697C2311yescharacteristic
367C22⋊#92418C2311yescharacteristic
368C22⋊#92418C2311yescharacteristic
369C22⋊#92418C2311yescharacteristic
370C22⋊#92418C2311yescharacteristic
371C22⋊#92418C2311yescharacteristic
372C22⋊#92418C2311yescharacteristic
373#14519688C2311yescharacteristic
374#14519688C2311yescharacteristic
375#14519688C2311yescharacteristic
376#14519688C2311yescharacteristic
377C4×#92418C2311yescharacteristic
378C4×#92418C2311yescharacteristic
379C2×#41×C61—21no—
380C2×#41×C61D411yescharacteristic
381C4⋊Q8×C61—21no—
382C4⋊Q8×C61C2311yescharacteristic
383C4⋊Q8×C61C2311yescharacteristic
384#126×C61—21no—
385#126×C61—21no—
386#126×C61—21no—
387#126×C61—21no—
388#126×C61—21no—
389#126×C61—21no—
390#126×C61—21no—
391#125×C61—21no—
392#125×C61—21no—
393#125×C61—21no—
394#125×C61—21no—
395#125×C61—21no—
396#125×C61—21no—
397#125×C61—21no—
398#125×C61—21no—
399#125×C61—21no—
400#125×C61C2311yescharacteristic
401#125×C61C2311yescharacteristic
402#125×C61C2311yescharacteristic
403#125×C61C2311yescharacteristic
404#125×C61C2311yescharacteristic
405#125×C61C2311yescharacteristic
406#125×C61C2311yescharacteristic
407#124×C61C2311yescharacteristic
408#123×C61—21no—
409#123×C61—21no—
410#123×C61—21no—
411#123×C61—21no—
412#123×C61—21no—
413#123×C61—21no—
414#123×C61—21no—
415#123×C61—21no—
416#123×C61—21no—
417C22⋊Q8×C61—21no—
418C22⋊Q8×C61—21no—
419C22⋊Q8×C61—21no—
420C22⋊Q8×C61—21no—
421C22⋊Q8×C61—21no—
422C22⋊Q8×C61—21no—
423C22⋊Q8×C61—21no—
424C22⋊Q8×C61—21no—
425C22⋊Q8×C61C2311yescharacteristic
426C22⋊Q8×C61C2311yescharacteristic
427C22⋊Q8×C61C2311yescharacteristic
428#121×C61—21no—
429#121×C61—21no—
430#121×C61C2311yescharacteristic
431#121×C61C2311yescharacteristic
432#121×C61C2311yescharacteristic
433C4×Q8×C61—21no—
434C4×Q8×C61—21no—
435C4×Q8×C61—21no—
436C4×Q8×C61D411yescharacteristic
437C4×Q8×C61C2311yescharacteristic
438C4×Q8×C61C2311yescharacteristic
439C4×Q8×C61C2311yescharacteristic
440C4×Q8×C61C2311yescharacteristic
441C4×D4×C61—21no—
442C4×D4×C61—21no—
443C4×D4×C61—21no—
444C4×D4×C61—21no—
445C4×D4×C61—21no—
446C4×D4×C61—21no—
447C4×D4×C61D411yescharacteristic
448C4×D4×C61D411yescharacteristic
449C4×D4×C61D411yescharacteristic
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456#117×C61—21no—
457#117×C61—21no—
458#117×C61—21no—
459#117×C61—21no—
460#117×C61—21no—
461#117×C61D411yescharacteristic
462#117×C61D411yescharacteristic
463#117×C61D411yescharacteristic
464#117×C61C2311yescharacteristic
465#117×C61C2311yescharacteristic
466C2×C4⋊C4×C61—21no—
467C2×C4⋊C4×C61—21no—
468C2×C4⋊C4×C61—21no—
469C2×C4⋊C4×C61—21no—
470C2×C4⋊C4×C61—21no—
471C2×C4⋊C4×C61C2311yescharacteristic
472C2×C4⋊C4×C61C2311yescharacteristic
473C2×C4⋊C4×C61C2311yescharacteristic
474C2×C4⋊C4×C61C2311yescharacteristic
475C2×C42×C61C2311yescharacteristic
476C2×C42×C61C2311yescharacteristic
477C2×C42×C61C2311yescharacteristic
478#41×C61—42no—
479#41×C61—44no—
480C2×Q8×C61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61C2×D411yescharacteristic
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61C2×D411yescharacteristic
488C2×D4×C61C2×D411yescharacteristic
489C2×D4×C61C2×D411yescharacteristic
490C2×D4×C61C2411yescharacteristic
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61C2×D411yescharacteristic
499C22×C4×C61C2×D411yescharacteristic
500C22×C4×C61C2×D411yescharacteristic
501C22×C4×C61C2×D411yescharacteristic
502C22×C4×C61C2×D411yescharacteristic
503C22×C4×C61C2×D411yescharacteristic
504C22×C4×C61C2411yescharacteristic
505C22×C4×C61C2411yescharacteristic
506C22×C4×C61C2411yescharacteristic
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514#11758224—44no—
515#11758222—22no—
516#11758222—41no—
517C2×D244C2411yescharacteristic
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×Dic122—22no—
522C2×Dic122—22no—
523C2×Dic122—21no—
524C2×Dic122—21no—
525C2×Dic122—21no—
526C2×Dic122—41no—
527C2×Dic122—41no—
528C2×Dic122C2411yescharacteristic
529C2×Dic122C2411yescharacteristic
530C2×Dic122C2411yescharacteristic
531C4⋊C4×C61—21no—
532C4⋊C4×C61—21no—
533C4⋊C4×C61—21no—
534C4⋊C4×C61—21no—
535C4⋊C4×C61—21no—
536C4⋊C4×C61—21no—
537C4⋊C4×C61—21no—
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61—21no—
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61—21no—
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2×D411yescharacteristic
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2×D411yescharacteristic
561C4⋊C4×C61C2×D411yescharacteristic
562C4⋊C4×C61C2×D411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
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×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61C2×D411yescharacteristic
583C22⋊C4×C61C2×D411yescharacteristic
584C22⋊C4×C61C2×D411yescharacteristic
585C22⋊C4×C61C2×D411yescharacteristic
586C22⋊C4×C61C2×D411yescharacteristic
587C22⋊C4×C61C2×D411yescharacteristic
588C42×C61—21no—
589C42×C61—21no—
590C42×C61—21no—
591C42×C61—21no—
592C42×C61—21no—
593C42×C61C2×D411yescharacteristic
594C42×C61C2×D411yescharacteristic
595C42×C61C2×D411yescharacteristic
596C42×C61C2×D411yescharacteristic
597C42×C61C2×D411yescharacteristic
598C42×C61C2×D411yescharacteristic
599C42×C61C2411yescharacteristic
600C42×C61C2411yescharacteristic
601C42×C61C2411yescharacteristic
602C42×C61C2411yescharacteristic
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608#11758202—22no—
609#11758202—41no—
610#11758202—41no—
611#11758201—41no—
612#11758200—22no—
613#11758200—41no—
614#11758200—41no—
615#11758199—41no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61C2411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
648#11758196—21no—
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×Dic61—21no—
658#11758194—41no—
659#11758194—41no—
660#11758194—41no—
661#11758194—41no—
662C2×#92418—41no—
663C2×#92418—41no—
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672C23×C61—21no—
673C23×C61C22×D411yescharacteristic
674C23×C61C22×D411yescharacteristic
675C23×C61C22×D411yescharacteristic
676C22×D61—21no—
677Q8×C61—21no—
678Q8×C61—21no—
679Q8×C61—41no—
680Q8×C61—42no—
681Q8×C61—81no—
682D4×C61—22no—
683D4×C61—22no—
684D4×C61—21no—
685D4×C61—21no—
686D4×C61—41no—
687D4×C61—42no—
688D4×C61—42no—
689D4×C61—81no—
690C2×C4×C61—22no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—41no—
705C2×C4×C61—41no—
706C2×C4×C61—41no—
707C2×C4×C61—41no—
708C2×C4×C61—41no—
709C2×C4×C61—42no—
710C2×C4×C61—42no—
711C2×C4×C61—42no—
712C2×C4×C61—81no—
713C2×C4×C61—81no—
714C2×C4×C61—81no—
715C2×C4×C61—81no—
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C22×D411yescharacteristic
718C2×C4×C61C22×D411yescharacteristic
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C22×D411yescharacteristic
722C2×C4×C61C22×D411yescharacteristic
723C2×C4×C61C22×D411yescharacteristic
724C2×C4×C61C22×D411yescharacteristic
725C2×C4×C61C22×D411yescharacteristic
726C2×C4×C61C22×D411yescharacteristic
727C2×C4×C61C2511yescharacteristic
728C22⋊D61—42no—
729C22⋊D61—42no—
730C22⋊D61—42no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—42no—
739C2×Dic61—42no—
740C2×Dic61—42no—
741C2×Dic61—42no—
742D244—21no—
743D244—21no—
744C4×D61—42no—
745C4×D61—42no—
746C4×D61—42no—
747Dic122—21no—
748Dic122—21no—
749Dic122—21no—
750Dic122—21no—
751Dic122—21no—
752Dic122—42no—
753Dic122—42no—
754Dic122—42no—
755Dic1222−1+412yes—
756#92418—21no—
757#92418—21no—
758#92418—21no—
759#92418—21no—
760#92418—21no—
761#92418—21no—
762#92418—21no—
763#92418—21no—
764#62120—611nomaximal, Sylow
765C22×C61—21no—
766C22×C61—21no—
767C22×C61—21no—
768C22×C61—21no—
769C22×C61—21no—
770C22×C61—21no—
771C22×C61—21no—
772C22×C61—21no—
773C22×C61—41no—
774C22×C61—41no—
775C22×C61—41no—
776C22×C61#57512yes—
777C22×C61C23×D411yescharacteristic
778C2×D61—41no—
779C2×D61—41no—
780C2×D61—41no—
781C4×C61—21no—
782C4×C61—21no—
783C4×C61—21no—
784C4×C61—21no—
785C4×C61—21no—
786C4×C61—21no—
787C4×C61—21no—
788C4×C61—21no—
789C4×C61—21no—
790C4×C61—21no—
791C4×C61—21no—
792C4×C61—41no—
793C4×C61—41no—
794C4×C61—41no—
795C4×C61—41no—
796C4×C61—41no—
797C4×C61—41no—
798C4×C61—41no—
799C4×C61C2×2−1+411yescharacteristic
800C4×C61#58511yescharacteristic
801Dic61—22no—
802Dic61—41no—
803Dic61—41no—
804Dic61—41no—
805Dic61—41no—
806Dic61—41no—
807Dic61—41no—
808#3515D6111yescharacteristic, complemented
809#3482—611no—
810#3390—611no—
811#3388—611no—
812#3377—611no—
813#3376—611no—
814#3352—611no—
815#3351—611no—
816#3345—611no—
817#3344—611no—
818#3343—611no—
819#3343—611no—
820#3327—611no—
821#3326—611no—
822#3320—611no—
823#3316—611no—
824#3312—611no—
825#3308—611no—
826#3256—611no—
827#3252—611no—
828#3250—611no—
829#3240—611no—
830#3236—611no—
831#3232—611no—
832#3117—611no—
833#3111—611no—
834#3108—611no—
835#3080—611no—
836#3078—611no—
837C2×#479—611no—
838#2989—611no—
839C2×C61—22no—
840C2×C61—41no—
841C2×C61—41no—
842C2×C61—81no—
843C2×C61#348911yescharacteristic
844C2×C61C2×#57511yescharacteristic
845C2×C61#358611yescharacteristic
846D61—81no—
847#557—611no—
848#557C2×D6111yescharacteristic
849#556—611no—
850#556—1221no—
851#554C2×D6111yescharacteristic
852#554C2×D6111yescharacteristic
853#553C2×D6111yescharacteristic
854#553C2×D6111yescharacteristic
855#552—21no—
856#552—21no—
857#552—21no—
858#552—611no—
859#552—611no—
860#552—1221no—
861#552—1221no—
862#552C2×D6111yescharacteristic
863#552C2×D6111yescharacteristic
864D4×Q8—611no—
865#548—611no—
866#548—611no—
867#547—21no—
868#547—611no—
869#547—1221no—
870#547C2×D6111yescharacteristic
871#541—21no—
872#539—21no—
873#539—21no—
874#533—611no—
875#533—1221no—
876#533C2×D6111yescharacteristic
877#529—611no—
878#529—611no—
879#529—1221no—
880#529—1221no—
881#529C2×D6111yescharacteristic
882#529C2×D6111yescharacteristic
883#529C2×D6111yescharacteristic
884C2×#125C2×D6111yescharacteristic
885C2×#125C2×D6111yescharacteristic
886#520—21no—
887C4×#41—611no—
888C4×#41—1221no—
889C4×#41C2×D6111yescharacteristic
890C2×C4×Q8—611no—
891C2×C4×Q8—611no—
892#501—611no—
893#501—611no—
894#501—611no—
895#501—611no—
896#499—611no—
897#499—611no—
898#491—611no—
899#491—611no—
900#489—611no—
901#489—611no—
902#488—611no—
903#488—611no—
904#485—611no—
905#485—611no—
906#485—611no—
907#484—611no—
908#484—611no—
909#484—611no—
910#484—611no—
911#483—611no—
912#483—611no—
913#483—611no—
914#483—611no—
915#482—611no—
916#482—611no—
917#482—611no—
918#481—611no—
919#481—611no—
920#480—611no—
921#480—611no—
922#479—611no—
923#479—611no—
924#479—611no—
925#479—611no—
926#479—611no—
927#479—611no—
928#479—611no—
929#479—611no—
930#479—611no—
931#479—611no—
932#479—611no—
933#479—611no—
934#479—611no—
935#479—611no—
936#479—611no—
937#479—611no—
938#479—611no—
939#478—611no—
940#478—611no—
941#478—611no—
942#478—611no—
943#478—611no—
944#478—611no—
945#478—611no—
946#477—611no—
947#477—611no—
948#477—611no—
949#476—611no—
950#475—611no—
951#475—611no—
952#470—611no—
953#470—611no—
954#470—611no—
955#469—611no—
956#468—611no—
957#468—611no—
958#468—611no—
959#468—611no—
960#467—611no—
961#466—611no—
962#465—611no—
963#465—611no—
964#464—611no—
965#464—611no—
966#464—611no—
967#464—611no—
968#464—611no—
969#463—611no—
970#463—611no—
971#463—611no—
972#462—611no—
973#461—611no—
974#452—611no—
975#451—611no—
976#451—611no—
977#449—611no—
978#448—611no—
979#448—611no—
980#446—611no—
981#446—611no—
982#442—611no—
983#441—611no—
984#441—611no—
985#441—611no—
986#440—611no—
987#440—611no—
988#440—611no—
989#440—611no—
990C4×Q16—611no—
991C4×Q16—611no—
992C4×SD16—611no—
993C4×SD16—611no—
994#436—611no—
995#436—611no—
996#435—611no—
997#435—611no—
998#435—611no—
999#435—611no—
1000#432—611no—
1001#432—611no—
1002#431—611no—
1003#428—611no—
1004#428—611no—
1005#428—611no—
1006#428—611no—
1007C2×#107—611no—
1008C2×#106—611no—
1009#423—611no—
1010#423—611no—
1011C2×C4⋊C8—611no—
1012#419—611no—
1013#419—611no—
1014#417—611no—
1015#417—611no—
1016C2×#103—611no—
1017C2×#103—611no—
1018C61#6212011yescharacteristic, complemented, Sylow
1019C2×#41—21no—
1020C2×#41—611no—
1021C2×#41—1221no—
1022C2×#41C22⋊D6111yescharacteristic
1023C22×Q8—611no—
1024C22×Q8—611no—
1025C2×Q16—611no—
1026C2×Q16—611no—
1027C2×Q16—611no—
1028C2×SD16—611no—
1029C2×SD16—611no—
1030C2×SD16—611no—
1031C2×SD16—611no—
1032C2×D8—611no—
1033C2×M16—611no—
1034C2×M16—611no—
1035C2×M16—611no—
1036C2×M16—611no—
1037C22×C8—611no—
1038C22×C8—611no—
1039C4⋊Q8—21no—
1040C4⋊Q8—611no—
1041C4⋊Q8—611no—
1042C4⋊Q8—1221no—
1043C4⋊Q8—1221no—
1044C4⋊Q8C22×D6111yescharacteristic
1045C4⋊Q8C22×D6111yescharacteristic
1046#126—21no—
1047#126—21no—
1048#126—21no—
1049#126—21no—
1050#126—21no—
1051#126—21no—
1052#126—21no—
1053#126—1221no—
1054#126—1221no—
1055#126—1221no—
1056#126—1221no—
1057#126—1221no—
1058#126—1221no—
1059#125—21no—
1060#125—21no—
1061#125—21no—
1062#125—21no—
1063#125—21no—
1064#125—21no—
1065#125—21no—
1066#125—21no—
1067#125—21no—
1068#125—611no—
1069#125—611no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125—1221no—
1075#125C22×D6111yescharacteristic
1076#125C22×D6111yescharacteristic
1077#125C22×D6111yescharacteristic
1078#125C22×D6111yescharacteristic
1079#125C22×D6111yescharacteristic
1080#125C22×D6111yescharacteristic
1081#125C22×D6111yescharacteristic
1082#124—611no—
1083#124—611no—
1084#124—1221no—
1085#124—1221no—
1086#124C22×D6111yescharacteristic
1087#123—21no—
1088#123—21no—
1089#123—21no—
1090#123—21no—
1091#123—21no—
1092#123—21no—
1093#123—21no—
1094#123—21no—
1095#123—21no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099#123—1221no—
1100#123—1221no—
1101#123—1221no—
1102C22⋊Q8—21no—
1103C22⋊Q8—21no—
1104C22⋊Q8—21no—
1105C22⋊Q8—21no—
1106C22⋊Q8—21no—
1107C22⋊Q8—21no—
1108C22⋊Q8—21no—
1109C22⋊Q8—21no—
1110C22⋊Q8—611no—
1111C22⋊Q8—611no—
1112C22⋊Q8—611no—
1113C22⋊Q8—611no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8C22×D6111yescharacteristic
1122C22⋊Q8C22×D6111yescharacteristic
1123C22⋊Q8C22×D6111yescharacteristic
1124#121—21no—
1125#121—21no—
1126#121—611no—
1127#121—611no—
1128#121—1221no—
1129#121—1221no—
1130#121C22×D6111yescharacteristic
1131#121C22×D6111yescharacteristic
1132#121C22×D6111yescharacteristic
1133C4×Q8—21no—
1134C4×Q8—21no—
1135C4×Q8—21no—
1136C4×Q8—611no—
1137C4×Q8—611no—
1138C4×Q8—611no—
1139C4×Q8—611no—
1140C4×Q8—611no—
1141C4×Q8—611no—
1142C4×Q8—611no—
1143C4×Q8—611no—
1144C4×Q8—1221no—
1145C4×Q8—1221no—
1146C4×Q8—1221no—
1147C4×Q8—1221no—
1148C4×Q8—1221no—
1149C4×Q8—1221no—
1150C4×Q8C22⋊D6111yescharacteristic
1151C4×Q8C22×D6111yescharacteristic
1152C4×Q8C22×D6111yescharacteristic
1153C4×Q8C22×D6111yescharacteristic
1154C4×Q8C22×D6111yescharacteristic
1155C4×D4—21no—
1156C4×D4—21no—
1157C4×D4—21no—
1158C4×D4—21no—
1159C4×D4—21no—
1160C4×D4—21no—
1161C4×D4—611no—
1162C4×D4—611no—
1163C4×D4—1221no—
1164C4×D4—1221no—
1165C4×D4—1221no—
1166C4×D4—1221no—
1167C4×D4—1221no—
1168C4×D4—1221no—
1169C4×D4—1221no—
1170C4×D4C22⋊D6111yescharacteristic
1171C4×D4C22⋊D6111yescharacteristic
1172C4×D4C22⋊D6111yescharacteristic
1173C4×D4C22×D6111yescharacteristic
1174C4×D4C22×D6111yescharacteristic
1175C4×D4C22×D6111yescharacteristic
1176C4×D4C22×D6111yescharacteristic
1177C4×D4C22×D6111yescharacteristic
1178C4×D4C22×D6111yescharacteristic
1179#117—21no—
1180#117—21no—
1181#117—21no—
1182#117—21no—
1183#117—21no—
1184#117—611no—
1185#117—1221no—
1186#117—1221no—
1187#117—1221no—
1188#117—1221no—
1189#117—1221no—
1190#117—1221no—
1191#117—1221no—
1192#117C22⋊D6111yescharacteristic
1193#117C22⋊D6111yescharacteristic
1194#117C22⋊D6111yescharacteristic
1195#117C22×D6111yescharacteristic
1196#117C22×D6111yescharacteristic
1197C2×C4⋊C4—21no—
1198C2×C4⋊C4—21no—
1199C2×C4⋊C4—21no—
1200C2×C4⋊C4—21no—
1201C2×C4⋊C4—21no—
1202C2×C4⋊C4—611no—
1203C2×C4⋊C4—611no—
1204C2×C4⋊C4—1221no—
1205C2×C4⋊C4—1221no—
1206C2×C4⋊C4C22×D6111yescharacteristic
1207C2×C4⋊C4C22×D6111yescharacteristic
1208C2×C4⋊C4C22×D6111yescharacteristic
1209C2×C4⋊C4C22×D6111yescharacteristic
1210C2×C42—1221no—
1211C2×C42—1221no—
1212C2×C42—1221no—
1213C2×C42C22×D6111yescharacteristic
1214C2×C42C22×D6111yescharacteristic
1215C2×C42C22×D6111yescharacteristic
1216#107—611no—
1217#107—611no—
1218#107—611no—
1219#107—611no—
1220#107—611no—
1221#107—611no—
1222#107—611no—
1223#107—611no—
1224#107—611no—
1225#107—611no—
1226#107—611no—
1227#107—611no—
1228#106—611no—
1229#106—611no—
1230#106—611no—
1231#106—611no—
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106—611no—
1237#106—611no—
1238#106—611no—
1239#106—611no—
1240C4⋊C8—611no—
1241C4⋊C8—611no—
1242C4⋊C8—611no—
1243C4⋊C8—611no—
1244C4⋊C8—611no—
1245C4⋊C8—611no—
1246C4⋊C8—611no—
1247C4⋊C8—611no—
1248C4⋊C8—611no—
1249C4⋊C8—611no—
1250#103—611no—
1251#103—611no—
1252#103—611no—
1253#103—611no—
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#103—611no—
1258#103—611no—
1259#103—611no—
1260#103—611no—
1261#103—611no—
1262#103—611no—
1263#103—611no—
1264#103—611no—
1265#103—611no—
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—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—
1282C22⋊C8—611no—
1283C22⋊C8—611no—
1284C22⋊C8—611no—
1285C22⋊C8—611no—
1286C22⋊C8—611no—
1287C22⋊C8—611no—
1288#97—611no—
1289#97—611no—
1290#97—611no—
1291#97—611no—
1292C4×C8—611no—
1293C4×C8—611no—
1294#41—42no—
1295#41—44no—
1296#41—1222no—
1297#41—2441no—
1298#41—2444no—
1299C2×Q8—21no—
1300C2×Q8—21no—
1301C2×Q8—611no—
1302C2×Q8—611no—
1303C2×Q8—611no—
1304C2×Q8—1222no—
1305C2×Q8—1222no—
1306C2×Q8—1221no—
1307C2×Q8—1221no—
1308C2×Q8—1221no—
1309C2×Q8—2441no—
1310C2×Q8—2441no—
1311C2×Q8C2×C22⋊D6111yescharacteristic
1312C2×Q8C23×D6111yescharacteristic
1313C2×D4—21no—
1314C2×D4—21no—
1315C2×D4—21no—
1316C2×D4—611no—
1317C2×D4—1221no—
1318C2×D4—1221no—
1319C2×D4—1221no—
1320C2×D4C2×C22⋊D6111yescharacteristic
1321C2×D4C2×C22⋊D6111yescharacteristic
1322C2×D4C2×C22⋊D6111yescharacteristic
1323C2×D4C23×D6111yescharacteristic
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—1221no—
1332C22×C4—1221no—
1333C22×C4—1221no—
1334C22×C4—1221no—
1335C22×C4—1221no—
1336C22×C4—1221no—
1337C22×C4—1221no—
1338C22×C4C2×C22⋊D6111yescharacteristic
1339C22×C4C2×C22⋊D6111yescharacteristic
1340C22×C4C2×C22⋊D6111yescharacteristic
1341C22×C4C2×C22⋊D6111yescharacteristic
1342C22×C4C2×C22⋊D6111yescharacteristic
1343C22×C4C2×C22⋊D6111yescharacteristic
1344C22×C4C23×D6111yescharacteristic
1345C22×C4C23×D6111yescharacteristic
1346C22×C4C23×D6111yescharacteristic
1347Q16—1222no—
1348Q16—2441no—
1349Q16—2441no—
1350SD16—1222no—
1351SD16—2441no—
1352SD16—2441no—
1353SD16—2441no—
1354D8—2441no—
1355M16—2441no—
1356M16—2441no—
1357M16—2441no—
1358M16—2441no—
1359C2×C8—611no—
1360C2×C8—611no—
1361C2×C8—611no—
1362C2×C8—611no—
1363C2×C8—611no—
1364C2×C8—611no—
1365C2×C8—611no—
1366C2×C8—611no—
1367C2×C8—2441no—
1368C2×C8—2441no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—611no—
1396C4⋊C4—611no—
1397C4⋊C4—611no—
1398C4⋊C4—611no—
1399C4⋊C4—1221no—
1400C4⋊C4—1221no—
1401C4⋊C4—1221no—
1402C4⋊C4—1221no—
1403C4⋊C4—1221no—
1404C4⋊C4—1221no—
1405C4⋊C4—1221no—
1406C4⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4C2×C22⋊D6111yescharacteristic
1421C4⋊C4C2×C22⋊D6111yescharacteristic
1422C4⋊C4C2×C22⋊D6111yescharacteristic
1423C4⋊C4C2×C22⋊D6111yescharacteristic
1424C4⋊C4C2×C22⋊D6111yescharacteristic
1425C4⋊C4C2×C22⋊D6111yescharacteristic
1426C4⋊C4C23×D6111yescharacteristic
1427C4⋊C4C23×D6111yescharacteristic
1428C4⋊C4C23×D6111yescharacteristic
1429C4⋊C4C23×D6111yescharacteristic
1430C4⋊C4C23×D6111yescharacteristic
1431C4⋊C4C23×D6111yescharacteristic
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—21no—
1437C22⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—1221no—
1446C22⋊C4—1221no—
1447C22⋊C4—1221no—
1448C22⋊C4—1221no—
1449C22⋊C4—1221no—
1450C22⋊C4—1221no—
1451C22⋊C4—1221no—
1452C22⋊C4—1221no—
1453C22⋊C4—1221no—
1454C22⋊C4—1221no—
1455C22⋊C4—1221no—
1456C22⋊C4—1221no—
1457C22⋊C4—1221no—
1458C22⋊C4C2×C22⋊D6111yescharacteristic
1459C22⋊C4C2×C22⋊D6111yescharacteristic
1460C22⋊C4C2×C22⋊D6111yescharacteristic
1461C22⋊C4C2×C22⋊D6111yescharacteristic
1462C22⋊C4C2×C22⋊D6111yescharacteristic
1463C22⋊C4C2×C22⋊D6111yescharacteristic
1464C42—21no—
1465C42—21no—
1466C42—21no—
1467C42—21no—
1468C42—21no—
1469C42—1221no—
1470C42—1221no—
1471C42—1221no—
1472C42—1221no—
1473C42—1221no—
1474C42—1221no—
1475C42—1221no—
1476C42—1221no—
1477C42—1221no—
1478C42C2×C22⋊D6111yescharacteristic
1479C42C2×C22⋊D6111yescharacteristic
1480C42C2×C22⋊D6111yescharacteristic
1481C42C2×C22⋊D6111yescharacteristic
1482C42C2×C22⋊D6111yescharacteristic
1483C42C2×C22⋊D6111yescharacteristic
1484C42C23×D6111yescharacteristic
1485C42C23×D6111yescharacteristic
1486C42C23×D6111yescharacteristic
1487C42C23×D6111yescharacteristic
1488C23—21no—
1489C23—1221no—
1490C23C22×C22⋊D6111yescharacteristic
1491C23C22×C22⋊D6111yescharacteristic
1492C23C22×C22⋊D6111yescharacteristic
1493Q8—21no—
1494Q8—21no—
1495Q8—41no—
1496Q8—42no—
1497Q8—81no—
1498Q8—612no—
1499Q8—1221no—
1500Q8—1221no—
1501Q8—1221no—
1502Q8—1221no—
1503Q8—1221no—
1504Q8—2442no—
1505Q8—2442no—
1506Q8—2442no—
1507D4—22no—
1508D4—22no—
1509D4—21no—
1510D4—21no—
1511D4—41no—
1512D4—42no—
1513D4—42no—
1514D4—81no—
1515D4—1221no—
1516D4—1221no—
1517D4—2442no—
1518D4—2442no—
1519D4—2442no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—42no—
1540C2×C4—42no—
1541C2×C4—42no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—81no—
1545C2×C4—81no—
1546C2×C4—1221no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—2442no—
1554C2×C4—2442no—
1555C2×C4—2442no—
1556C2×C4—2442no—
1557C2×C4—2442no—
1558C2×C4—2442no—
1559C2×C4—2442no—
1560C2×C4C22×C22⋊D6111yescharacteristic
1561C2×C4C22×C22⋊D6111yescharacteristic
1562C2×C4C22×C22⋊D6111yescharacteristic
1563C2×C4C22×C22⋊D6111yescharacteristic
1564C2×C4C22×C22⋊D6111yescharacteristic
1565C2×C4C22×C22⋊D6111yescharacteristic
1566C2×C4C22×C22⋊D6111yescharacteristic
1567C2×C4C22×C22⋊D6111yescharacteristic
1568C2×C4C22×C22⋊D6111yescharacteristic
1569C2×C4C22×C22⋊D6111yescharacteristic
1570C2×C4C22×C22⋊D6111yescharacteristic
1571C2×C4C24×D6111yescharacteristic
1572C8—1221no—
1573C8—1221no—
1574C8—1221no—
1575C8—1221no—
1576C8—1221no—
1577C8—1221no—
1578C8—1221no—
1579C8—1221no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—21no—
1585C22—21no—
1586C22—21no—
1587C22—21no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—2441no—
1592C22—2441no—
1593C22—2441no—
1594C22#1684056012yes—
1595C22C23×C22⋊D6111yescharacteristic
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—21no—
1606C4—21no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—1222no—
1615C4—2441no—
1616C4—2441no—
1617C4—2441no—
1618C4—2441no—
1619C4—2441no—
1620C4—2441no—
1621C42−1+4×D6111yescharacteristic
1622C4#1684059911yescharacteristic
1623C2—22no—
1624C2—41no—
1625C2—41no—
1626C2—81no—
1627C2—4881no—
1628C2#2145949211yescharacteristic
1629C2C2×#1684056011yescharacteristic
1630C2#2146060511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3515C2
socleC22×C61C23×D4
hypercenter#3515D61
hypocenterC61#62120
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3515

Complements

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

NH ≅ G/Ntype
1. #21459434C2semidirect
2. #21458782C2semidirect
3. #21458764C2semidirect
4. #21458661C2semidirect
5. #21458646C2semidirect
6. #21458388C2semidirect
7. #21458373C2semidirect
8. #21458283C2semidirect
9. #21458268C2semidirect
10. #21458259C2semidirect
11. #21458253C2semidirect
12. #21458081C2semidirect
13. #21458066C2semidirect
14. #21457984C2semidirect
15. #21457924C2semidirect
16. #21457864C2semidirect
17. #21457804C2semidirect
18. #21457215C2semidirect
19. #21457192C2semidirect
20. #21457166C2semidirect
21. #21457059C2semidirect
22. #21457025C2semidirect
23. #21456987C2semidirect
24. #21455986C2semidirect
25. #21455922C2semidirect
26. #21455895C2semidirect
27. #21455637C2semidirect
28. #21455620C2semidirect
29. C2×#16840066C2semidirect
30. #21454936C2semidirect
31. C61×#3515C2semidirect
808. #3515D61semidirect
1018. C61#62120semidirect

Maximal subgroups

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

subgroupindex
#214594342
#214587822
#214587642
#214586612
#214586462
#214583882
#214583732
#214582832
#214582682
#214582592
#214582532
#214580812
#214580662
#214579842
#214579242
#214578642
#214578042
#214572152
#214571922
#214571662
#214570592
#214570252
#214569872
#214559862
#214559222
#214558952
#214556372
#214556202
C2×#168400662
#214549362
C61×#35152
#6212061