Finite Group Databasebeta

← #30575985

Subgroups — #30575985

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#21459798C211yesmaximal, characteristic, complemented
2#21459426C211yesmaximal, characteristic, complemented
3#21458774C211yesmaximal, characteristic, complemented
4#21458767C211yesmaximal, characteristic, complemented
5#21458592C211yesmaximal, characteristic, complemented
6#21458579C211yesmaximal, characteristic, complemented
7#21458421C211yesmaximal, characteristic, complemented
8#21458377C211yesmaximal, characteristic, complemented
9#21458300C211yesmaximal, characteristic, complemented
10#21458283C211yesmaximal, characteristic, complemented
11#21458272C211yesmaximal, characteristic, complemented
12#21458030C211yesmaximal, characteristic, complemented
13#21458023C211yesmaximal, characteristic, complemented
14#21457958C211yesmaximal, characteristic, complemented
15#21457894C211yesmaximal, characteristic, complemented
16#21457846C211yesmaximal, characteristic, complemented
17#21457782C211yesmaximal, characteristic, complemented
18#21457222C211yesmaximal, characteristic, complemented
19#21457176C211yesmaximal, characteristic, complemented
20#21457167C211yesmaximal, characteristic, complemented
21#21457060C211yesmaximal, characteristic, complemented
22#21457006C211yesmaximal, characteristic, complemented
23#21456986C211yesmaximal, characteristic, complemented
24#21455961C211yesmaximal, characteristic, complemented
25#21455931C211yesmaximal, characteristic, complemented
26#21455869C211yesmaximal, characteristic, complemented
27#21455640C211yesmaximal, characteristic, complemented
28#21455611C211yesmaximal, characteristic, complemented
29C2×#16840065C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3346C211yesmaximal, characteristic, complemented
32#16840495C2211yescharacteristic
33#16840491C2211yescharacteristic, complemented
34#16840473C2211yescharacteristic, complemented
35#16840468C2211yescharacteristic
36#16840467C2211yescharacteristic
37#16840460C2211yescharacteristic
38#16840460C2211yescharacteristic, complemented
39#16840457—21no—
40#16840456C2211yescharacteristic
41#16840454—21no—
42#16840454—21no—
43#16840454C2211yescharacteristic
44#16840454C2211yescharacteristic, complemented
45#16840450—21no—
46#16840441—21no—
47#16840437—21no—
48#16840416—21no—
49#16840416C2211yescharacteristic, complemented
50#16840409C2211yescharacteristic
51#16840408C2211yescharacteristic
52#16840401—21no—
53#16840396C2211yescharacteristic
54#16840375—21no—
55#16840361—21no—
56#16840361—21no—
57#16840317C2211yescharacteristic, complemented
58#16840307C2211yescharacteristic
59#16840299C2211yescharacteristic, complemented
60#16840298C2211yescharacteristic, complemented
61#16840298C2211yescharacteristic, complemented
62#16840297C2211yescharacteristic
63#16840295—21no—
64#16840293C2211yescharacteristic
65C2×#14519768C2211yescharacteristic, complemented
66C2×#14519768C2211yescharacteristic, complemented
67#16840272—21no—
68#16840270—21no—
69#16840241—21no—
70#16840230C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×#14519739C2211yescharacteristic
73C4×D4×D61—21no—
74C4×D4×D61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840170C2211yescharacteristic, complemented
78#16840162C2211yescharacteristic, complemented
79#16840162C2211yescharacteristic, complemented
80#16840125C2211yescharacteristic
81#16840125C2211yescharacteristic
82#16840124C2211yescharacteristic, complemented
83#16840122C2211yescharacteristic, complemented
84#16840115C2211yescharacteristic, complemented
85#16840115C2211yescharacteristic, complemented
86#16840105C2211yescharacteristic, complemented
87#16840105C2211yescharacteristic, complemented
88#16840097C2211yescharacteristic, complemented
89#16840093C2211yescharacteristic, complemented
90#16840091C2211yescharacteristic, complemented
91#16840088C2211yescharacteristic
92#16840088C2211yescharacteristic
93#16840086C2211yescharacteristic, complemented
94#16840081C2211yescharacteristic, complemented
95#16840080C2211yescharacteristic, complemented
96#16840078C2211yescharacteristic, complemented
97#16840077C2211yescharacteristic, complemented
98#16840075C2211yescharacteristic, complemented
99#16840073C2211yescharacteristic
100#16840072C2211yescharacteristic, complemented
101#16840072C2211yescharacteristic, complemented
102#16840072C2211yescharacteristic, complemented
103#16840068C2211yescharacteristic, complemented
104#16840068C2211yescharacteristic, complemented
105#16840067C2211yescharacteristic, complemented
106#16840065C2211yescharacteristic
107#16840065C2211yescharacteristic
108#16840065C2211yescharacteristic
109#16840065C2211yescharacteristic
110#16840065C2211yescharacteristic
111#16840065C2211yescharacteristic, complemented
112#16840065C2211yescharacteristic, complemented
113#16840065C2211yescharacteristic, complemented
114#16840065C2211yescharacteristic, complemented
115#16840065C2211yescharacteristic, complemented
116#16840064C2211yescharacteristic, complemented
117#16840064C2211yescharacteristic, complemented
118#16840064C2211yescharacteristic, complemented
119#16840061C2211yescharacteristic
120#16840061C2211yescharacteristic
121#16840061C2211yescharacteristic, complemented
122#16840059C2211yescharacteristic, complemented
123#16840053C2211yescharacteristic
124#16840052C2211yescharacteristic, complemented
125#16840045C2211yescharacteristic, complemented
126#16840041C2211yescharacteristic, complemented
127#16840039C2211yescharacteristic
128#16840019C2211yescharacteristic, complemented
129#16840016C2211yescharacteristic
130#16840015C2211yescharacteristic, complemented
131#16840013C2211yescharacteristic, complemented
132#16840011C2211yescharacteristic
133#16840010C2211yescharacteristic, complemented
134#16840009C2211yescharacteristic, complemented
135#16840001C2211yescharacteristic, complemented
136#16839996C2211yescharacteristic
137#16839991C2211yescharacteristic, complemented
138#16839987C2211yescharacteristic, complemented
139#16839984C2211yescharacteristic, complemented
140#16839982C2211yescharacteristic, complemented
141#16839980C2211yescharacteristic
142#16839980C2211yescharacteristic, complemented
143#16839979C2211yescharacteristic, complemented
144#16839978C2211yescharacteristic, complemented
145#16839976C2211yescharacteristic, complemented
146#16839960C2211yescharacteristic
147#16839956C2211yescharacteristic
148#16839922C2211yescharacteristic
149#16839912C2211yescharacteristic
150#16839911C2211yescharacteristic
151#16839909C2211yescharacteristic
152#16839898C2211yescharacteristic
153#16839897C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839875C2211yescharacteristic
157#16839873C2211yescharacteristic
158#16839872C2211yescharacteristic, complemented
159#16839866C2211yescharacteristic, complemented
160#16839865C2211yescharacteristic
161#16839861C2211yescharacteristic, complemented
162#16839860C2211yescharacteristic
163#16839847C2211yescharacteristic
164#16839847C2211yescharacteristic, complemented
165#16839844C2211yescharacteristic
166#16839844C2211yescharacteristic, complemented
167#16839838C2211yescharacteristic, complemented
168#16839837C2211yescharacteristic, complemented
169#16839834C2211yescharacteristic, complemented
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839805C2211yescharacteristic, complemented
176#16839803C2211yescharacteristic, complemented
177#16839803C2211yescharacteristic, complemented
178C2×#14519708C2211yescharacteristic, complemented
179#16839785C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181C2×#14519706C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839764C2211yescharacteristic
185#16839761C2211yescharacteristic
186C2×#14519699C2211yescharacteristic
187C2×#14519697C2211yescharacteristic
188C61×#554C2211yescharacteristic, complemented
189C61×#553C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#484C2211yescharacteristic, complemented
193C61×#481C2211yescharacteristic
194C61×#480C2211yescharacteristic, complemented
195C61×#479C2211yescharacteristic, complemented
196C61×#474C2211yescharacteristic, complemented
197C61×#468C2211yescharacteristic, complemented
198C61×#465C2211yescharacteristic
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#428C2211yescharacteristic, complemented
202C2×#107×C61C2211yescharacteristic, complemented
203C2×#11758222C2311yescharacteristic
204C2×#11758224—21no—
205C2×#11758224—21no—
206C2×#11758224D411yescharacteristic
207C22×D244C2311yescharacteristic
208C2×D4×D61—21no—
209C2×D4×D61C2311yescharacteristic
210C22×C4×D61—21no—
211C22×C4×D61—21no—
212C2×#11758202C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758201C2311yescharacteristic
215C2×#11758201C2311yescharacteristic
216C2×D488C2311yescharacteristic
217C2×D488C2311yescharacteristic
218C2×#11758199C2311yescharacteristic
219C2×#11758194C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×#11758189C2311yescharacteristic
222C22×#92418C2311yescharacteristic
223#14519777—21no—
224#14519777C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519773C2311yescharacteristic
227#14519772—21no—
228#14519772—21no—
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519771—21no—
236#14519770—21no—
237#14519768—21no—
238#14519768—21no—
239#14519768—21no—
240#14519768—21no—
241#14519768—21no—
242#14519768—21no—
243#14519768—21no—
244#14519768—21no—
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519767—21no—
254#14519766C2311yescharacteristic
255#14519765C2311yescharacteristic
256#14519764C2311yescharacteristic
257#14519763—21no—
258#14519763—21no—
259#14519762—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519762—21no—
264#14519761—21no—
265#14519761—21no—
266#14519761—21no—
267#14519761—21no—
268#14519761—21no—
269#14519761—21no—
270#14519760—21no—
271#14519759—21no—
272#14519759—21no—
273#14519759—21no—
274#14519758—21no—
275#14519757—21no—
276#14519757—21no—
277#14519757—21no—
278#14519757—21no—
279#14519757C2311yescharacteristic
280#14519756—21no—
281#14519756C2311yescharacteristic
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519753—21no—
286#14519753—21no—
287#14519753—21no—
288#14519753C2311yescharacteristic
289#14519752C2311yescharacteristic
290#14519752C2311yescharacteristic
291#14519751—21no—
292#14519751—21no—
293#14519751C2311yescharacteristic
294#14519751C2311yescharacteristic
295#14519751C2311yescharacteristic
296#14519750—21no—
297#14519750—21no—
298#14519750—21no—
299#14519749—21no—
300#14519748—21no—
301#14519747—21no—
302#14519745—21no—
303#14519745—21no—
304#14519745—21no—
305Q8×Dic61—21no—
306Q8×Dic61C2311yescharacteristic
307Q8×Dic61C2311yescharacteristic
308C4×Dic122—21no—
309C4×Dic122C2311yescharacteristic
310#14519742—21no—
311#14519742D411yescharacteristic
312#14519742C2311yescharacteristic
313#14519742C2311yescharacteristic
314C4×D244—21no—
315C4×D244—21no—
316C4×D244C2311yescharacteristic
317C4×D244C2311yescharacteristic
318D4×Dic61—21no—
319D4×Dic61D411yescharacteristic
320D4×Dic61C2311yescharacteristic
321#14519739—21no—
322#14519739—21no—
323#14519739—21no—
324#14519739C2311yescharacteristic
325#14519739C2311yescharacteristic
326#14519739C2311yescharacteristic
327#14519739C2311yescharacteristic
328#14519739C2311yescharacteristic
329#14519739C2311yescharacteristic
330#14519739C2311yescharacteristic
331C4×C22⋊D61—21no—
332C4×C22⋊D61—21no—
333C4×C22⋊D61—21no—
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61C2311yescharacteristic
337C4×C22⋊D61C2311yescharacteristic
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737D411yescharacteristic
345#14519737D411yescharacteristic
346#14519735—21no—
347#14519735—21no—
348#14519735—21no—
349#14519735D411yescharacteristic
350#14519735C2311yescharacteristic
351#14519735C2311yescharacteristic
352#14519734—21no—
353#14519734—21no—
354#14519733—21no—
355#14519733—21no—
356#14519733—21no—
357#14519733D411yescharacteristic
358#14519733D411yescharacteristic
359C2×C4⋊Dic61—21no—
360C2×C4⋊Dic61—21no—
361C2×C4⋊Dic61C2311yescharacteristic
362C2×C4⋊Dic61C2311yescharacteristic
363C2×#11758196—21no—
364C2×#11758196—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61C2311yescharacteristic
368C2×#11758198—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C22⋊C4×D61—21no—
372C2×C4×Dic61C2311yescharacteristic
373C2×C4×Dic61C2311yescharacteristic
374C42×D61—21no—
375C42×D61C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
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×SD16×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#125×C61—21no—
441#125×C61C2311yescharacteristic
442#123×C61—21no—
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61C2311yescharacteristic
446C22⋊Q8×C61C2311yescharacteristic
447#121×C61—21no—
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×D4×C61—21no—
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455#117×C61C2311yescharacteristic
456C2×C4⋊C4×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61C2×D411yescharacteristic
485C2×D4×C61C2411yescharacteristic
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61C2411yescharacteristic
491C22×C4×C61C2411yescharacteristic
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61C2×D411yescharacteristic
500C2×C22⋊D61C2×D411yescharacteristic
501C22×Dic61—21no—
502C22×Dic61—21no—
503C22×Dic61—21no—
504C22×Dic61C2×D411yescharacteristic
505C22×Dic61C2×D411yescharacteristic
506C22×Dic61C2×D411yescharacteristic
507C22×Dic61C2×D411yescharacteristic
508#11758224—42no—
509#11758224—44no—
510#11758224—82no—
511D4×D61—22no—
512D4×D61—41no—
513D4×D61—44no—
514#11758222—22no—
515#11758222—41no—
516C2×D244—22no—
517C2×D244—21no—
518C2×D244—21no—
519C2×D244—21no—
520C2×D244—41no—
521C2×D244C2411yescharacteristic
522C2×D244C2411yescharacteristic
523C2×D244C2411yescharacteristic
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—82no—
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—
545M16×C61—41no—
546C2×C8×C61—41no—
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
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×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61C2×D411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61C2×D411yescharacteristic
574C22⋊C4×C61C2×D411yescharacteristic
575C42×C61—21no—
576C42×C61—21no—
577C42×C61C2411yescharacteristic
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61C2×D411yescharacteristic
583C22⋊Dic61C2×D411yescharacteristic
584#11758202—41no—
585#11758201—22no—
586#11758201—41no—
587#11758199—41no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
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#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198C2×D411yescharacteristic
611#11758198C2×D411yescharacteristic
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⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61C2×D411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
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×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663C4×Dic61C2411yescharacteristic
664#11758194—41no—
665C2×#92418—41no—
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670D488—22no—
671D488—41no—
672#11758190—41no—
673#11758189—41no—
674#11758189—41no—
675C23×C61—21no—
676C23×C61C22×D411yescharacteristic
677C23×C61C22×D411yescharacteristic
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—42no—
682C22×D61—42no—
683C22×D61—42no—
684C22×D61—42no—
685C22×D61—81no—
686C22×D61—81no—
687C22×D61C22×D411yescharacteristic
688Q8×C61—21no—
689Q8×C61—21no—
690Q8×C61—81no—
691D4×C61—22no—
692D4×C61—21no—
693D4×C61—21no—
694D4×C61—42no—
695D4×C61—81no—
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—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—81no—
708C2×C4×C61—81no—
709C2×C4×C61—81no—
710C2×C4×C61—81no—
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C2511yescharacteristic
716C22⋊D61—22no—
717C22⋊D61—41no—
718C22⋊D61—42no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—42no—
722C22⋊D61—42no—
723C22⋊D61—81no—
724C22⋊D61—81no—
725C2×Dic61—22no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—41no—
732C2×Dic61—41no—
733C2×Dic61—41no—
734C2×Dic61—42no—
735C2×Dic61—42no—
736C2×Dic61—42no—
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740C2×Dic61C22×D411yescharacteristic
741C2×Dic61C22×D411yescharacteristic
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744D244—21no—
745D244—21no—
746D244—21no—
747D244—21no—
748D244—21no—
749D244—42no—
750D244—42no—
751D244—81no—
752D2442−1+412yes—
753C4×D61—21no—
754C4×D61—21no—
755C4×D61—41no—
756C4×D61—41no—
757C4×D61—42no—
758C4×D61—42no—
759C4×D61—42no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767C4×D61—81no—
768Dic122—21no—
769Dic122—21no—
770Dic122—41no—
771Dic122—42no—
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—21no—
786C22×C61—21no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61#57512yes—
791C22×C61C23×D411yescharacteristic
792C2×D61—21no—
793C2×D61—21no—
794C2×D61—22no—
795C2×D61—21no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—84no—
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×C61—41no—
816C4×C61—41no—
817C4×C61C2×2−1+411yescharacteristic
818C4×C61#58511yescharacteristic
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—21no—
824Dic61—21no—
825Dic61—21no—
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#3346D6111yescharacteristic, complemented
841#3345—611no—
842#3344—611no—
843#3323—611no—
844#3322—611no—
845#3318—611no—
846#3314—611no—
847#3310—611no—
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—81no—
865C2×C61#348911yescharacteristic
866C2×C61C2×#57511yescharacteristic
867C2×C61#358511yescharacteristic
868D61—41no—
869D61—42no—
870D61—81no—
871D61—81no—
872#559—611no—
873#557—611no—
874#554—611no—
875#554—611no—
876#554—611no—
877#554C2×D6111yescharacteristic, complemented
878#553—611no—
879#553—611no—
880#553—611no—
881#553—1221no—
882#553C2×D6111yescharacteristic
883#552—611no—
884#552—611no—
885#552—1221no—
886#552—1221no—
887#552—1221no—
888#551—1221no—
889#551—1221no—
890#547—611no—
891#547—1221no—
892#546—611no—
893#546—611no—
894#546—1221no—
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#501C2×D6111yescharacteristic, complemented
921#499—611no—
922#499—611no—
923#490—611no—
924#490—611no—
925#489—611no—
926#489—611no—
927#488—611no—
928#488—611no—
929#485—611no—
930#485—611no—
931#485C2×D6111yescharacteristic, complemented
932#484—611no—
933#484C2×D6111yescharacteristic, complemented
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482—611no—
939#481—611no—
940#481—611no—
941#481—611no—
942#481C2×D6111yescharacteristic
943#480—611no—
944#480—611no—
945#480—611no—
946#480C2×D6111yescharacteristic, complemented
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#479—611no—
953#479C2×D6111yescharacteristic, complemented
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#476—611no—
973#475—611no—
974#474—611no—
975#474—611no—
976#474C2×D6111yescharacteristic, complemented
977#470—611no—
978#469—611no—
979#469—611no—
980#469—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#468C2×D6111yescharacteristic, complemented
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#460—611no—
998#459—611no—
999#452—611no—
1000#450—611no—
1001#450—611no—
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, complemented
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#428C2×D6111yescharacteristic, complemented
1032C2×#107C2×D6111yescharacteristic, complemented
1033C2×#106—611no—
1034#423—611no—
1035#423—611no—
1036C2×C4⋊C8—611no—
1037#418—611no—
1038#418—611no—
1039#417—611no—
1040#417—611no—
1041C2×#102—611no—
1042C2×#102—611no—
1043C61#6211911yescharacteristic, complemented, Sylow
1044C2×#41—611no—
1045C2×#41—611no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C22×D4—611no—
1049C22×D4—611no—
1050C22×D4—1221no—
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×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—1221no—
1070C4⋊Q8C22×D6111yescharacteristic
1071#127—611no—
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—21no—
1125C22⋊Q8—21no—
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⋊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—1221no—
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—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8C22×D6111yescharacteristic
1171C4×D4—21no—
1172C4×D4—21no—
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—611no—
1187C4×D4—611no—
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—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—1221no—
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—1221no—
1225C2×C4⋊C4—1221no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4C22×D6111yescharacteristic
1231C2×C4⋊C4C22×D6111yescharacteristic
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#107C22×D6111yescharacteristic
1248#107C22×D6111yescharacteristic
1249#107C22×D6111yescharacteristic
1250#107C22×D6111yescharacteristic
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#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#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
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—1221no—
1320C24—1221no—
1321#41—1222no—
1322#41—4882no—
1323#41—2441no—
1324#41—2442no—
1325#41—2444no—
1326C2×Q8—21no—
1327C2×Q8—611no—
1328C2×Q8—611no—
1329C2×Q8—1221no—
1330C2×Q8—1221no—
1331C2×Q8C23×D6111yescharacteristic
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—611no—
1335C2×D4—611no—
1336C2×D4—611no—
1337C2×D4—611no—
1338C2×D4—611no—
1339C2×D4—1222no—
1340C2×D4—1221no—
1341C2×D4—1221no—
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—1221no—
1351C2×D4—2441no—
1352C2×D4—2441no—
1353C2×D4—2444no—
1354C2×D4D4×D6111yescharacteristic
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
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—41no—
1387SD16—1222no—
1388SD16—2441no—
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—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
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—611no—
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⋊C4D4×D6111yescharacteristic
1454C4⋊C4C23×D6111yescharacteristic
1455C4⋊C4C23×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—611no—
1518C23—1221no—
1519C23—1221no—
1520C23—1221no—
1521C23—4881no—
1522C23—4881no—
1523C23—2442no—
1524C23—2442no—
1525C23—2442no—
1526C23—2442no—
1527C23C2×D4×D6111yescharacteristic
1528C23C2×D4×D6111yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—81no—
1532Q8—1221no—
1533Q8—1221no—
1534Q8—4881no—
1535Q8—2441no—
1536Q8—2442no—
1537D4—22no—
1538D4—21no—
1539D4—21no—
1540D4—42no—
1541D4—81no—
1542D4—612no—
1543D4—1222no—
1544D4—1221no—
1545D4—1221no—
1546D4—1221no—
1547D4—1221no—
1548D4—1221no—
1549D4—4881no—
1550D4—4881no—
1551D4—4881no—
1552D4—2442no—
1553D4—2442no—
1554D4—2441no—
1555D4—2442no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
1559D4—2442no—
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—21no—
1570C2×C4—21no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—611no—
1581C2×C4—611no—
1582C2×C4—1222no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—4881no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—2441no—
1597C2×C4—2441no—
1598C2×C4—2442no—
1599C2×C4—2442no—
1600C2×C4—2442no—
1601C2×C4—2442no—
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—21no—
1626C22—21no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—1221no—
1631C22—1222no—
1632C22—1221no—
1633C22—1221no—
1634C22—4884no—
1635C22—4884no—
1636C22—2441no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22#1684056112yes—
1645C22C22×D4×D6111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—1221no—
1662C4—1221no—
1663C4—1221no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C42−1+4×D6111yescharacteristic
1670C4#1684059811yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—81no—
1674C2—4881no—
1675C2—4881no—
1676C2—2441no—
1677C2—2442no—
1678C2#2145949311yescharacteristic
1679C2C2×#1684056111yescharacteristic
1680C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3346C2
socleC22×C61C23×D4
hypercenter#3346D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
1. #21459798C2semidirect
2. #21459426C2semidirect
3. #21458774C2semidirect
4. #21458767C2semidirect
5. #21458592C2semidirect
6. #21458579C2semidirect
7. #21458421C2semidirect
8. #21458377C2semidirect
9. #21458300C2semidirect
10. #21458283C2semidirect
11. #21458272C2semidirect
12. #21458030C2semidirect
13. #21458023C2semidirect
14. #21457958C2semidirect
15. #21457894C2semidirect
16. #21457846C2semidirect
17. #21457782C2semidirect
18. #21457222C2semidirect
19. #21457176C2semidirect
20. #21457167C2semidirect
21. #21457060C2semidirect
22. #21457006C2semidirect
23. #21456986C2semidirect
24. #21455961C2semidirect
25. #21455931C2semidirect
26. #21455869C2semidirect
27. #21455640C2semidirect
28. #21455611C2semidirect
29. C2×#16840065C2semidirect
30. #21454931C2semidirect
31. C61×#3346C2semidirect
33. #16840491C22semidirect
34. #16840473C22semidirect
38. #16840460C22semidirect
44. #16840454C22semidirect
49. #16840416C22semidirect
57. #16840317C22semidirect
59. #16840299C22semidirect
60. #16840298C22semidirect
61. #16840298C22semidirect
65. C2×#14519768C22semidirect
66. C2×#14519768C22semidirect
75. #16840172C22semidirect
76. #16840170C22semidirect
77. #16840170C22semidirect
78. #16840162C22semidirect
79. #16840162C22semidirect
82. #16840124C22semidirect
83. #16840122C22semidirect
84. #16840115C22semidirect
85. #16840115C22semidirect
86. #16840105C22semidirect
87. #16840105C22semidirect
88. #16840097C22semidirect
89. #16840093C22semidirect
90. #16840091C22semidirect
93. #16840086C22semidirect
94. #16840081C22semidirect
95. #16840080C22semidirect
96. #16840078C22semidirect
97. #16840077C22semidirect
98. #16840075C22semidirect
100. #16840072C22semidirect
101. #16840072C22semidirect
102. #16840072C22semidirect
103. #16840068C22semidirect
104. #16840068C22semidirect
105. #16840067C22semidirect
111. #16840065C22semidirect
112. #16840065C22semidirect
113. #16840065C22semidirect
114. #16840065C22semidirect
115. #16840065C22semidirect
116. #16840064C22semidirect
117. #16840064C22semidirect
118. #16840064C22semidirect
121. #16840061C22semidirect
122. #16840059C22semidirect
124. #16840052C22semidirect
125. #16840045C22semidirect
126. #16840041C22semidirect
128. #16840019C22semidirect
130. #16840015C22semidirect
131. #16840013C22semidirect
133. #16840010C22semidirect
134. #16840009C22semidirect
135. #16840001C22semidirect
137. #16839991C22semidirect
138. #16839987C22semidirect
139. #16839984C22semidirect
140. #16839982C22semidirect
142. #16839980C22semidirect
143. #16839979C22semidirect
144. #16839978C22semidirect
145. #16839976C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
158. #16839872C22semidirect
159. #16839866C22semidirect
161. #16839861C22semidirect
164. #16839847C22semidirect
166. #16839844C22semidirect
167. #16839838C22semidirect
168. #16839837C22semidirect
169. #16839834C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839805C22semidirect
176. #16839803C22semidirect
177. #16839803C22semidirect
178. C2×#14519708C22semidirect
179. #16839785C22semidirect
180. #16839784C22semidirect
181. C2×#14519706C22semidirect
188. C61×#554C22semidirect
190. C61×#501C22semidirect
191. C61×#485C22semidirect
192. C61×#484C22semidirect
194. C61×#480C22semidirect
195. C61×#479C22semidirect
196. C61×#474C22semidirect
197. C61×#468C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#428C22semidirect
202. C2×#107×C61C22semidirect
840. #3346D61semidirect
877. #554C2×D61semidirect
920. #501C2×D61semidirect
931. #485C2×D61semidirect
933. #484C2×D61semidirect
946. #480C2×D61semidirect
953. #479C2×D61semidirect
976. #474C2×D61semidirect
984. #468C2×D61semidirect
1014. #440C2×D61semidirect
1024. #435C2×D61semidirect
1031. #428C2×D61semidirect
1032. C2×#107C2×D61semidirect
1043. C61#62119semidirect

Maximal subgroups

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

subgroupindex
#214597982
#214594262
#214587742
#214587672
#214585922
#214585792
#214584212
#214583772
#214583002
#214582832
#214582722
#214580302
#214580232
#214579582
#214578942
#214578462
#214577822
#214572222
#214571762
#214571672
#214570602
#214570062
#214569862
#214559612
#214559312
#214558692
#214556402
#214556112
C2×#168400652
#214549312
C61×#33462
#6211961