Finite Group Databasebeta

← #30576054

Subgroups — #30576054

Order 15616.

1780 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#21459833C211yesmaximal, characteristic, complemented
2#21459426C211yesmaximal, characteristic, complemented
3#21458732C211yesmaximal, characteristic, complemented
4#21458715C211yesmaximal, characteristic, complemented
5#21458634C211yesmaximal, characteristic, complemented
6#21458614C211yesmaximal, characteristic, complemented
7#21458441C211yesmaximal, characteristic, complemented
8#21458427C211yesmaximal, characteristic, complemented
9#21458362C211yesmaximal, characteristic, complemented
10#21458315C211yesmaximal, characteristic, complemented
11#21458313C211yesmaximal, characteristic, complemented
12#21458059C211yesmaximal, characteristic, complemented
13#21458045C211yesmaximal, characteristic, complemented
14#21457977C211yesmaximal, characteristic, complemented
15#21457973C211yesmaximal, characteristic, complemented
16#21457861C211yesmaximal, characteristic, complemented
17#21457849C211yesmaximal, characteristic, complemented
18#21457222C211yesmaximal, characteristic, complemented
19#21457216C211yesmaximal, characteristic, complemented
20#21457140C211yesmaximal, characteristic, complemented
21#21457062C211yesmaximal, characteristic, complemented
22#21457057C211yesmaximal, characteristic, complemented
23#21456953C211yesmaximal, characteristic, complemented
24#21455961C211yesmaximal, characteristic, complemented
25#21455960C211yesmaximal, characteristic, complemented
26#21455840C211yesmaximal, characteristic, complemented
27#21455617C211yesmaximal, characteristic, complemented
28#21455615C211yesmaximal, characteristic, complemented
29#21455605C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3350C211yesmaximal, characteristic, complemented
32#16840495C2211yescharacteristic
33Q8×Dic122C2211yescharacteristic, complemented
34#16840485—21no—
35#16840483C2211yescharacteristic
36#16840483C2211yescharacteristic, complemented
37#16840479—21no—
38#16840479—21no—
39#16840477C2211yescharacteristic, complemented
40#16840475C2211yescharacteristic
41#16840475C2211yescharacteristic, complemented
42#16840468C2211yescharacteristic
43#16840467C2211yescharacteristic
44#16840457—21no—
45#16840456C2211yescharacteristic
46#16840441—21no—
47#16840437—21no—
48#16840427C2211yescharacteristic, complemented
49#16840420—21no—
50#16840409C2211yescharacteristic
51#16840408C2211yescharacteristic
52#16840401—21no—
53#16840396C2211yescharacteristic
54#16840381—21no—
55#16840378—21no—
56#16840378—21no—
57#16840317C2211yescharacteristic, complemented
58#16840315C2211yescharacteristic, complemented
59#16840315C2211yescharacteristic, complemented
60#16840307C2211yescharacteristic
61#16840299C2211yescharacteristic, complemented
62#16840298C2211yescharacteristic, complemented
63#16840298C2211yescharacteristic, complemented
64#16840297C2211yescharacteristic
65#16840295—21no—
66#16840293C2211yescharacteristic
67#16840272—21no—
68#16840270—21no—
69#16840238—21no—
70#16840230C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×#14519739C2211yescharacteristic
73C4×D4×D61—21no—
74C4×D4×D61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840166C2211yescharacteristic, complemented
79#16840159C2211yescharacteristic, complemented
80#16840124C2211yescharacteristic, complemented
81#16840122C2211yescharacteristic, complemented
82#16840120C2211yescharacteristic, complemented
83#16840120C2211yescharacteristic, complemented
84#16840107C2211yescharacteristic
85#16840107C2211yescharacteristic
86#16840106C2211yescharacteristic, complemented
87#16840106C2211yescharacteristic, complemented
88#16840104C2211yescharacteristic, complemented
89#16840103C2211yescharacteristic, complemented
90#16840091C2211yescharacteristic, complemented
91#16840089C2211yescharacteristic
92#16840089C2211yescharacteristic
93#16840087C2211yescharacteristic, complemented
94#16840086C2211yescharacteristic, complemented
95#16840086C2211yescharacteristic, complemented
96#16840083C2211yescharacteristic
97#16840083C2211yescharacteristic, complemented
98#16840077C2211yescharacteristic, complemented
99#16840075C2211yescharacteristic, complemented
100#16840072C2211yescharacteristic, complemented
101#16840071C2211yescharacteristic, complemented
102#16840068C2211yescharacteristic, complemented
103#16840068C2211yescharacteristic, complemented
104#16840065C2211yescharacteristic
105#16840065C2211yescharacteristic, complemented
106#16840065C2211yescharacteristic, complemented
107#16840064C2211yescharacteristic, complemented
108#16840061C2211yescharacteristic
109#16840061C2211yescharacteristic
110#16840061C2211yescharacteristic, complemented
111#16840061C2211yescharacteristic, complemented
112#16840060C2211yescharacteristic, complemented
113#16840060C2211yescharacteristic, complemented
114#16840059C2211yescharacteristic, complemented
115#16840056C2211yescharacteristic, complemented
116#16840055C2211yescharacteristic, complemented
117#16840051C2211yescharacteristic
118#16840051C2211yescharacteristic
119#16840051C2211yescharacteristic, complemented
120#16840051C2211yescharacteristic, complemented
121#16840049C2211yescharacteristic
122#16840046C2211yescharacteristic, complemented
123#16840043C2211yescharacteristic
124#16840042C2211yescharacteristic, complemented
125#16840041C2211yescharacteristic
126#16840041C2211yescharacteristic
127#16840041C2211yescharacteristic, complemented
128#16840019C2211yescharacteristic, complemented
129#16840018C2211yescharacteristic, complemented
130#16840016C2211yescharacteristic
131#16840013C2211yescharacteristic
132#16840011C2211yescharacteristic
133#16840009C2211yescharacteristic, complemented
134#16840008C2211yescharacteristic, complemented
135#16839998C2211yescharacteristic, complemented
136#16839996C2211yescharacteristic, complemented
137#16839993C2211yescharacteristic, 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#16839873C2211yescharacteristic, complemented
159#16839872C2211yescharacteristic, complemented
160#16839865C2211yescharacteristic
161#16839865C2211yescharacteristic, complemented
162#16839860C2211yescharacteristic
163#16839854C2211yescharacteristic, complemented
164#16839849C2211yescharacteristic, complemented
165#16839847C2211yescharacteristic
166#16839844C2211yescharacteristic
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic, complemented
170#16839833C2211yescharacteristic, complemented
171#16839830C2211yescharacteristic, complemented
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839802C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic, complemented
177#16839801C2211yescharacteristic, complemented
178#16839798C2211yescharacteristic, complemented
179#16839785C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181C2×#14519706C2211yescharacteristic, complemented
182#16839768C2211yescharacteristic
183#16839766C2211yescharacteristic
184#16839765C2211yescharacteristic
185#16839765C2211yescharacteristic
186#16839759C2211yescharacteristic
187#16839756C2211yescharacteristic
188C61×#556C2211yescharacteristic, complemented
189C61×#553C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#483C2211yescharacteristic, complemented
193C61×#482C2211yescharacteristic
194C61×#482C2211yescharacteristic, complemented
195C61×#479C2211yescharacteristic, complemented
196C61×#476C2211yescharacteristic, complemented
197C61×#468C2211yescharacteristic
198C61×#465C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#428C2211yescharacteristic, complemented
202C61×#427C2211yescharacteristic, complemented
203C2×#11758222C2311yescharacteristic
204C2×#11758224—21no—
205C2×#11758224D411yescharacteristic
206C2×Q8×D61—21no—
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#14519776—21no—
226#14519776—21no—
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519773C2311yescharacteristic
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519771—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519767—21no—
248#14519766C2311yescharacteristic
249#14519765—21no—
250#14519765—21no—
251#14519765C2311yescharacteristic
252#14519764C2311yescharacteristic
253#14519763—21no—
254#14519763—21no—
255#14519763—21no—
256#14519763—21no—
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519762—21no—
262#14519762—21no—
263#14519762—21no—
264#14519761—21no—
265#14519761—21no—
266#14519760—21no—
267#14519759—21no—
268#14519759—21no—
269#14519759—21no—
270#14519758—21no—
271#14519757—21no—
272#14519757—21no—
273#14519757C2311yescharacteristic
274#14519756—21no—
275#14519756C2311yescharacteristic
276#14519755—21no—
277#14519755—21no—
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519754—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519753—21no—
286#14519753—21no—
287#14519753C2311yescharacteristic
288#14519752C2311yescharacteristic
289#14519752C2311yescharacteristic
290#14519751C2311yescharacteristic
291#14519751C2311yescharacteristic
292#14519751C2311yescharacteristic
293#14519750—21no—
294#14519750—21no—
295#14519750—21no—
296#14519750—21no—
297#14519750—21no—
298#14519749—21no—
299#14519748—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×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122—21no—
312C4×Dic122—21no—
313C4×Dic122C2311yescharacteristic
314#14519742—21no—
315#14519742—21no—
316#14519742—21no—
317#14519742D411yescharacteristic
318#14519742C2311yescharacteristic
319#14519742C2311yescharacteristic
320C4×D244—21no—
321C4×D244—21no—
322C4×D244C2311yescharacteristic
323C4×D244C2311yescharacteristic
324D4×Dic61—21no—
325D4×Dic61D411yescharacteristic
326D4×Dic61C2311yescharacteristic
327#14519739—21no—
328#14519739—21no—
329#14519739—21no—
330#14519739C2311yescharacteristic
331#14519739C2311yescharacteristic
332#14519739C2311yescharacteristic
333#14519739C2311yescharacteristic
334#14519739C2311yescharacteristic
335#14519739C2311yescharacteristic
336#14519739C2311yescharacteristic
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61—21no—
340C4×C22⋊D61C2311yescharacteristic
341C4×C22⋊D61C2311yescharacteristic
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519737—21no—
348#14519737D411yescharacteristic
349#14519737D411yescharacteristic
350#14519736C2311yescharacteristic
351#14519736C2311yescharacteristic
352#14519735—21no—
353#14519735—21no—
354#14519735—21no—
355#14519735—21no—
356#14519735D411yescharacteristic
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519734—21no—
360#14519734—21no—
361#14519734—21no—
362#14519734—21no—
363#14519733—21no—
364#14519733D411yescharacteristic
365#14519733D411yescharacteristic
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#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
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#126×C61—21no—
441#126×C61—21no—
442#125×C61C2311yescharacteristic
443#124×C61—21no—
444#123×C61—21no—
445C22⋊Q8×C61C2311yescharacteristic
446C22⋊Q8×C61C2311yescharacteristic
447#121×C61—21no—
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450C4×Q8×C61—21no—
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455#117×C61C2311yescharacteristic
456#117×C61C2311yescharacteristic
457#117×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×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×C61C2411yescharacteristic
489C22×C4×C61C2411yescharacteristic
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61C2×D411yescharacteristic
498C2×C22⋊D61C2×D411yescharacteristic
499C22×Dic61—21no—
500C22×Dic61C2×D411yescharacteristic
501C22×Dic61C2×D411yescharacteristic
502C22×Dic61C2×D411yescharacteristic
503C22×Dic61C2×D411yescharacteristic
504Q8×D61—44no—
505#11758224—42no—
506#11758224—82no—
507D4×D61—22no—
508D4×D61—41no—
509D4×D61—44no—
510#11758222—22no—
511#11758222—41no—
512C2×D244—22no—
513C2×D244—21no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244—41no—
517C2×D244C2411yescharacteristic
518C2×D244C2411yescharacteristic
519C2×D244C2411yescharacteristic
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
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—82no—
532C2×C4×D61—82no—
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2411yescharacteristic
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
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×C61C2×D411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
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×C61—21no—
578C42×C61—21no—
579C42×C61C2411yescharacteristic
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61C2×D411yescharacteristic
587C22⋊Dic61C2×D411yescharacteristic
588#11758202—41no—
589#11758201—22no—
590#11758201—41no—
591#11758199—41no—
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#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
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⋊Dic61C2×D411yescharacteristic
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#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647C4×Dic61—21no—
648C4×Dic61—21no—
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—42no—
691D4×C61—21no—
692D4×C61—21no—
693D4×C61—41no—
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×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C2511yescharacteristic
714C22⋊D61—22no—
715C22⋊D61—41no—
716C22⋊D61—42no—
717C22⋊D61—42no—
718C22⋊D61—42no—
719C22⋊D61—81no—
720C22⋊D61—81no—
721C22⋊D61—81no—
722C22⋊D61—81no—
723C2×Dic61—22no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—41no—
730C2×Dic61—41no—
731C2×Dic61—41no—
732C2×Dic61—42no—
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740D244—21no—
741D244—21no—
742D244—21no—
743D244—21no—
744D244—21no—
745D244—42no—
746D244—42no—
747D244—81no—
748D2442−1+412yes—
749C4×D61—21no—
750C4×D61—21no—
751C4×D61—41no—
752C4×D61—41no—
753C4×D61—42no—
754C4×D61—42no—
755C4×D61—42no—
756C4×D61—42no—
757C4×D61—42no—
758C4×D61—42no—
759C4×D61—42no—
760C4×D61—81no—
761C4×D61—81no—
762C4×D61—81no—
763C4×D61—81no—
764Dic122—22no—
765Dic122—21no—
766Dic122—21no—
767Dic122—42no—
768Dic122—42no—
769Dic122—81no—
770Dic122—81no—
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#62122—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—21no—
786C22×C61—21no—
787C22×C61—21no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
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—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61#57512yes—
831#3518—611no—
832#3481—611no—
833#3385—611no—
834#3384—611no—
835#3375—611no—
836#3373—611no—
837#3357—611no—
838#3356—611no—
839#3350—611no—
840#3350D6111yescharacteristic, complemented
841#3347—611no—
842#3347—611no—
843#3325—611no—
844#3324—611no—
845#3319—611no—
846#3319—611no—
847#3311—611no—
848#3311—611no—
849#3256—611no—
850#3256—611no—
851#3247—611no—
852#3240—611no—
853#3240—611no—
854#3228—611no—
855#3114—611no—
856#3114—611no—
857#3102—611no—
858#3077—611no—
859#3077—611no—
860#3076—611no—
861#2989—611no—
862C2×C61—41no—
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—
873Q82—611no—
874#556—611no—
875#556—611no—
876#556—1221no—
877#556—1221no—
878#556—1221no—
879#556C2×D6111yescharacteristic, complemented
880#555—611no—
881#555—611no—
882#555—611no—
883#554—611no—
884#554—611no—
885#553—611no—
886#553—1221no—
887#553C2×D6111yescharacteristic
888#551—1221no—
889#551—1221no—
890D4×Q8—611no—
891#548—1221no—
892#546—611no—
893#546—611no—
894#546—1221no—
895D42—611no—
896#542—1221no—
897#542—1221no—
898#542—1221no—
899#533—611no—
900#533—611no—
901#533—611no—
902#532—611no—
903#529—611no—
904#529—611no—
905#529—611no—
906#529—611no—
907#529—611no—
908#529—1221no—
909#525—1221no—
910#525—1221no—
911#519—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#500—611no—
922#498—611no—
923#489—611no—
924#489—611no—
925#489—611no—
926#489—611no—
927#486—611no—
928#486—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#485—611no—
933#485C2×D6111yescharacteristic, complemented
934#483—611no—
935#483C2×D6111yescharacteristic, complemented
936#482—611no—
937#482—611no—
938#482—611no—
939#482—611no—
940#482—611no—
941#482—611no—
942#482—611no—
943#482C2×D6111yescharacteristic
944#482C2×D6111yescharacteristic, complemented
945#480—611no—
946#480—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479C2×D6111yescharacteristic, complemented
952#478—611no—
953#478—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#477—611no—
964#477—611no—
965#476—611no—
966#476—611no—
967#476—611no—
968#476—611no—
969#476—611no—
970#476C2×D6111yescharacteristic, complemented
971#475—611no—
972#474—611no—
973#474—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#470—611no—
978#470—611no—
979#469—611no—
980#469—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#468C2×D6111yescharacteristic
985#466—611no—
986#466—611no—
987#465—611no—
988#465C2×D6111yescharacteristic, complemented
989#464—611no—
990#464—611no—
991#464—611no—
992#463—611no—
993#463—611no—
994#463—611no—
995#463—611no—
996#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#442—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440C2×D6111yescharacteristic, complemented
1015C4×Q16—611no—
1016C4×SD16—611no—
1017C4×SD16—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
1032#427—611no—
1033#427C2×D6111yescharacteristic, complemented
1034#423—611no—
1035#423—611no—
1036C2×C4⋊C8—611no—
1037#418—611no—
1038#418—611no—
1039#418—611no—
1040#418—611no—
1041#416—611no—
1042#416—611no—
1043C61#6212211yescharacteristic, complemented, Sylow
1044C2×#41—611no—
1045C2×#41—611no—
1046C2×#41—1221no—
1047C22×Q8—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—611no—
1070C4⋊Q8—611no—
1071C4⋊Q8—611no—
1072C4⋊Q8—611no—
1073C4⋊Q8—1221no—
1074C4⋊Q8—1221no—
1075C4⋊Q8—1221no—
1076C4⋊Q8C22×D6111yescharacteristic
1077#127—611no—
1078#126—21no—
1079#126—21no—
1080#126—21no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#126—1221no—
1087#126—1221no—
1088#126—1221no—
1089#126—1221no—
1090#126—1221no—
1091#125—611no—
1092#125—611no—
1093#125—611no—
1094#125—611no—
1095#125—1221no—
1096#125C22×D6111yescharacteristic
1097#124—21no—
1098#124—611no—
1099#124—611no—
1100#124—611no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124—1221no—
1107#124—1221no—
1108#124—1221no—
1109#124—1221no—
1110#124—1221no—
1111#123—21no—
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—
1122C22⋊Q8—611no—
1123C22⋊Q8—611no—
1124C22⋊Q8—611no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8C22×D6111yescharacteristic
1140C22⋊Q8C22×D6111yescharacteristic
1141#121—21no—
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121C22×D6111yescharacteristic
1156#121C22×D6111yescharacteristic
1157#120—1221no—
1158#120—1221no—
1159#120—1221no—
1160#120—1221no—
1161C4×Q8—21no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—611no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8—1221no—
1171C4×Q8—1221no—
1172C4×Q8—1221no—
1173C4×Q8—1221no—
1174C4×Q8—1221no—
1175C4×Q8—1221no—
1176C4×Q8—1221no—
1177C4×Q8C22×D6111yescharacteristic
1178C4×D4—21no—
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—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—611no—
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×D4—1221no—
1206C4×D4—1221no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4C22×D6111yescharacteristic
1210C4×D4C22×D6111yescharacteristic
1211#117—611no—
1212#117—611no—
1213#117—611no—
1214#117—611no—
1215#117—611no—
1216#117—611no—
1217#117—611no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222#117—1221no—
1223#117—1221no—
1224#117—1221no—
1225#117—1221no—
1226#117—1221no—
1227#117C22×D6111yescharacteristic
1228#117C22×D6111yescharacteristic
1229#117C22×D6111yescharacteristic
1230C2×C4⋊C4—611no—
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#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#106C22×D6111yescharacteristic
1261#106C22×D6111yescharacteristic
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—
1325C2×Q8—21no—
1326C2×Q8—611no—
1327C2×Q8—611no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8—1221no—
1331C2×Q8—1221no—
1332C2×Q8—1221no—
1333C2×Q8—1221no—
1334C2×Q8—2444no—
1335C2×Q8C23×D6111yescharacteristic
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—611no—
1339C2×D4—611no—
1340C2×D4—611no—
1341C2×D4—611no—
1342C2×D4—611no—
1343C2×D4—1222no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1222no—
1350C2×D4—1221no—
1351C2×D4—1221no—
1352C2×D4—1221no—
1353C2×D4—1221no—
1354C2×D4—1221no—
1355C2×D4—2441no—
1356C2×D4—2441no—
1357C2×D4—2444no—
1358C2×D4D4×D6111yescharacteristic
1359C2×D4C23×D6111yescharacteristic
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
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—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—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4D4×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C4⋊C4C23×D6111yescharacteristic
1449C4⋊C4C23×D6111yescharacteristic
1450C4⋊C4C23×D6111yescharacteristic
1451C4⋊C4C23×D6111yescharacteristic
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—611no—
1461C22⋊C4—611no—
1462C22⋊C4—611no—
1463C22⋊C4—611no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊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⋊C4D4×D6111yescharacteristic
1493C22⋊C4D4×D6111yescharacteristic
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—611no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—611no—
1506C42—611no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42—1221no—
1514C42—1221no—
1515C42C23×D6111yescharacteristic
1516C23—21no—
1517C23—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—42no—
1532Q8—1222no—
1533Q8—1221no—
1534Q8—1221no—
1535Q8—4881no—
1536Q8—4881no—
1537Q8—4881no—
1538Q8—4881no—
1539Q8—2442no—
1540Q8—2442no—
1541D4—21no—
1542D4—21no—
1543D4—41no—
1544D4—42no—
1545D4—81no—
1546D4—612no—
1547D4—1222no—
1548D4—1221no—
1549D4—1221no—
1550D4—1221no—
1551D4—1221no—
1552D4—1221no—
1553D4—4881no—
1554D4—4881no—
1555D4—4881no—
1556D4—4881no—
1557D4—4881no—
1558D4—2442no—
1559D4—2442no—
1560D4—2442no—
1561D4—2441no—
1562D4—2442no—
1563D4—2442no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—81no—
1576C2×C4—81no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—611no—
1581C2×C4—611no—
1582C2×C4—611no—
1583C2×C4—611no—
1584C2×C4—1222no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—1221no—
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—2442no—
1604C2×C4—2442no—
1605C2×C4—2441no—
1606C2×C4—2441no—
1607C2×C4—2441no—
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—21no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—1221no—
1632C22—1222no—
1633C22—1221no—
1634C22—1221no—
1635C22—4884no—
1636C22—4884no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22—2441no—
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—612no—
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—41no—
1672C2—41no—
1673C2—81no—
1674C2—4881no—
1675C2—4881no—
1676C2—2441no—
1677C2—2442no—
1678C2#2145949311yescharacteristic
1679C2#575×D6111yescharacteristic
1680C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3350C2
socleC22×C61C23×D4
hypercenter#3350D61
hypocenterC61#62122
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3350

Complements

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

NH ≅ G/Ntype
1. #21459833C2semidirect
2. #21459426C2semidirect
3. #21458732C2semidirect
4. #21458715C2semidirect
5. #21458634C2semidirect
6. #21458614C2semidirect
7. #21458441C2semidirect
8. #21458427C2semidirect
9. #21458362C2semidirect
10. #21458315C2semidirect
11. #21458313C2semidirect
12. #21458059C2semidirect
13. #21458045C2semidirect
14. #21457977C2semidirect
15. #21457973C2semidirect
16. #21457861C2semidirect
17. #21457849C2semidirect
18. #21457222C2semidirect
19. #21457216C2semidirect
20. #21457140C2semidirect
21. #21457062C2semidirect
22. #21457057C2semidirect
23. #21456953C2semidirect
24. #21455961C2semidirect
25. #21455960C2semidirect
26. #21455840C2semidirect
27. #21455617C2semidirect
28. #21455615C2semidirect
29. #21455605C2semidirect
30. #21454931C2semidirect
31. C61×#3350C2semidirect
33. Q8×Dic122C22semidirect
36. #16840483C22semidirect
39. #16840477C22semidirect
41. #16840475C22semidirect
48. #16840427C22semidirect
57. #16840317C22semidirect
58. #16840315C22semidirect
59. #16840315C22semidirect
61. #16840299C22semidirect
62. #16840298C22semidirect
63. #16840298C22semidirect
75. #16840172C22semidirect
76. #16840170C22semidirect
77. #16840169C22semidirect
78. #16840166C22semidirect
79. #16840159C22semidirect
80. #16840124C22semidirect
81. #16840122C22semidirect
82. #16840120C22semidirect
83. #16840120C22semidirect
86. #16840106C22semidirect
87. #16840106C22semidirect
88. #16840104C22semidirect
89. #16840103C22semidirect
90. #16840091C22semidirect
93. #16840087C22semidirect
94. #16840086C22semidirect
95. #16840086C22semidirect
97. #16840083C22semidirect
98. #16840077C22semidirect
99. #16840075C22semidirect
100. #16840072C22semidirect
101. #16840071C22semidirect
102. #16840068C22semidirect
103. #16840068C22semidirect
105. #16840065C22semidirect
106. #16840065C22semidirect
107. #16840064C22semidirect
110. #16840061C22semidirect
111. #16840061C22semidirect
112. #16840060C22semidirect
113. #16840060C22semidirect
114. #16840059C22semidirect
115. #16840056C22semidirect
116. #16840055C22semidirect
119. #16840051C22semidirect
120. #16840051C22semidirect
122. #16840046C22semidirect
124. #16840042C22semidirect
127. #16840041C22semidirect
128. #16840019C22semidirect
129. #16840018C22semidirect
133. #16840009C22semidirect
134. #16840008C22semidirect
135. #16839998C22semidirect
136. #16839996C22semidirect
137. #16839993C22semidirect
138. #16839987C22semidirect
139. #16839984C22semidirect
140. #16839982C22semidirect
142. #16839980C22semidirect
143. #16839979C22semidirect
144. #16839978C22semidirect
145. #16839976C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
158. #16839873C22semidirect
159. #16839872C22semidirect
161. #16839865C22semidirect
163. #16839854C22semidirect
164. #16839849C22semidirect
169. #16839834C22semidirect
170. #16839833C22semidirect
171. #16839830C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839802C22semidirect
176. #16839801C22semidirect
177. #16839801C22semidirect
178. #16839798C22semidirect
179. #16839785C22semidirect
180. #16839784C22semidirect
181. C2×#14519706C22semidirect
188. C61×#556C22semidirect
190. C61×#501C22semidirect
191. C61×#485C22semidirect
192. C61×#483C22semidirect
194. C61×#482C22semidirect
195. C61×#479C22semidirect
196. C61×#476C22semidirect
198. C61×#465C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#428C22semidirect
202. C61×#427C22semidirect
840. #3350D61semidirect
879. #556C2×D61semidirect
920. #501C2×D61semidirect
933. #485C2×D61semidirect
935. #483C2×D61semidirect
944. #482C2×D61semidirect
951. #479C2×D61semidirect
970. #476C2×D61semidirect
988. #465C2×D61semidirect
1014. #440C2×D61semidirect
1024. #435C2×D61semidirect
1031. #428C2×D61semidirect
1033. #427C2×D61semidirect
1043. C61#62122semidirect

Maximal subgroups

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

subgroupindex
#214598332
#214594262
#214587322
#214587152
#214586342
#214586142
#214584412
#214584272
#214583622
#214583152
#214583132
#214580592
#214580452
#214579772
#214579732
#214578612
#214578492
#214572222
#214572162
#214571402
#214570622
#214570572
#214569532
#214559612
#214559602
#214558402
#214556172
#214556152
#214556052
#214549312
C61×#33502
#6212261