Finite Group Databasebeta

← #30576148

Subgroups — #30576148

Order 15616.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459699C211yesmaximal, characteristic, complemented
2#21459426C211yesmaximal, characteristic
3#21458767C211yesmaximal, characteristic, complemented
4#21458759C211yesmaximal, characteristic, complemented
5#21458594C211yesmaximal, characteristic, complemented
6#21458592C211yesmaximal, characteristic, complemented
7#21458358C211yesmaximal, characteristic, complemented
8#21458277C211yesmaximal, characteristic, complemented
9#21458275C211yesmaximal, characteristic, complemented
10#21458201C211yesmaximal, characteristic, complemented
11#21458199C211yesmaximal, characteristic, complemented
12#21457857C211yesmaximal, characteristic, complemented
13#21457849C211yesmaximal, characteristic, complemented
14#21457843C211yesmaximal, characteristic, complemented
15#21457835C211yesmaximal, characteristic, complemented
16#21457657C211yesmaximal, characteristic, complemented
17#21457649C211yesmaximal, characteristic, complemented
18#21457185C211yesmaximal, characteristic, complemented
19#21457155C211yesmaximal, characteristic, complemented
20#21457130C211yesmaximal, characteristic, complemented
21#21457041C211yesmaximal, characteristic, complemented
22#21457014C211yesmaximal, characteristic, complemented
23#21456995C211yesmaximal, characteristic, complemented
24#21455976C211yesmaximal, characteristic, complemented
25#21455916C211yesmaximal, characteristic, complemented
26#21455824C211yesmaximal, characteristic, complemented
27#21455615C211yesmaximal, characteristic, complemented
28#21455605C211yesmaximal, characteristic, complemented
29#476×D61C211yesmaximal, characteristic, complemented
30#21454939C211yesmaximal, characteristic, complemented
31C61×#3350C211yesmaximal, characteristic, complemented
32#16840495C2211yescharacteristic
33#16840491C2211yescharacteristic, complemented
34#16840490—21no—
35#16840487C2211yescharacteristic, complemented
36#16840482C2211yescharacteristic, complemented
37#16840481—21no—
38#16840468C2211yescharacteristic
39#16840467C2211yescharacteristic
40#16840457—21no—
41#16840456C2211yescharacteristic
42#16840451C2211yescharacteristic
43#16840451C2211yescharacteristic, complemented
44#16840448—21no—
45#16840448—21no—
46#16840446C2211yescharacteristic
47#16840446C2211yescharacteristic, complemented
48#16840441—21no—
49#16840437—21no—
50#16840409C2211yescharacteristic
51#16840408C2211yescharacteristic
52#16840401—21no—
53#16840396C2211yescharacteristic
54#16840369—21no—
55#16840369—21no—
56#16840332—21no—
57#16840316C2211yescharacteristic, complemented
58#16840315C2211yescharacteristic, complemented
59#16840315C2211yescharacteristic, complemented
60#16840314C2211yescharacteristic, complemented
61#16840314C2211yescharacteristic, complemented
62#16840307C2211yescharacteristic
63C4⋊Q8×D61C2211yescharacteristic, 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#16840163C2211yescharacteristic, complemented
79#16840162C2211yescharacteristic, complemented
80#16840125C2211yescharacteristic
81#16840125C2211yescharacteristic
82#16840124C2211yescharacteristic, complemented
83#16840122C2211yescharacteristic, complemented
84#16840115C2211yescharacteristic, complemented
85#16840115C2211yescharacteristic, complemented
86#16840104C2211yescharacteristic, complemented
87#16840103C2211yescharacteristic, complemented
88#16840103C2211yescharacteristic, complemented
89#16840099C2211yescharacteristic, complemented
90#16840096C2211yescharacteristic, complemented
91#16840094C2211yescharacteristic, complemented
92#16840094C2211yescharacteristic, complemented
93#16840092C2211yescharacteristic, complemented
94#16840087C2211yescharacteristic, complemented
95#16840086C2211yescharacteristic, complemented
96#16840083C2211yescharacteristic
97#16840083C2211yescharacteristic, complemented
98#16840077C2211yescharacteristic
99#16840077C2211yescharacteristic
100#16840072C2211yescharacteristic, complemented
101#16840068C2211yescharacteristic, complemented
102#16840068C2211yescharacteristic, complemented
103#16840067C2211yescharacteristic, complemented
104#16840066C2211yescharacteristic, complemented
105#16840065C2211yescharacteristic
106#16840065C2211yescharacteristic
107#16840065C2211yescharacteristic, complemented
108#16840061C2211yescharacteristic
109#16840061C2211yescharacteristic
110#16840061C2211yescharacteristic, complemented
111#16840056C2211yescharacteristic, complemented
112#16840056C2211yescharacteristic, complemented
113#16840053C2211yescharacteristic
114#16840052C2211yescharacteristic, complemented
115#16840051C2211yescharacteristic
116#16840051C2211yescharacteristic
117#16840051C2211yescharacteristic, complemented
118#16840051C2211yescharacteristic, complemented
119#16840050C2211yescharacteristic, complemented
120#16840050C2211yescharacteristic, complemented
121#16840049C2211yescharacteristic
122#16840046C2211yescharacteristic, complemented
123#16840046C2211yescharacteristic, complemented
124#16840045C2211yescharacteristic, complemented
125#16840041C2211yescharacteristic
126#16840041C2211yescharacteristic, complemented
127#16840040C2211yescharacteristic, complemented
128#16840020C2211yescharacteristic, complemented
129#16840018C2211yescharacteristic, complemented
130#16840006C2211yescharacteristic
131#16840004C2211yescharacteristic, complemented
132#16840002C2211yescharacteristic, complemented
133#16839994C2211yescharacteristic
134#16839993C2211yescharacteristic, complemented
135#16839992C2211yescharacteristic
136#16839991C2211yescharacteristic, complemented
137#16839989C2211yescharacteristic, complemented
138#16839985C2211yescharacteristic, complemented
139#16839984C2211yescharacteristic, complemented
140#16839983C2211yescharacteristic, complemented
141#16839982C2211yescharacteristic, complemented
142#16839971C2211yescharacteristic, complemented
143#16839966C2211yescharacteristic
144#16839966C2211yescharacteristic, complemented
145#16839965C2211yescharacteristic, complemented
146#16839961C2211yescharacteristic
147#16839960C2211yescharacteristic
148#16839926C2211yescharacteristic
149#16839922C2211yescharacteristic
150#16839915C2211yescharacteristic
151#16839914C2211yescharacteristic
152#16839912C2211yescharacteristic
153#16839911C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839868C2211yescharacteristic, complemented
157#16839866C2211yescharacteristic, complemented
158#16839865C2211yescharacteristic
159#16839864C2211yescharacteristic
160#16839862C2211yescharacteristic, complemented
161#16839861C2211yescharacteristic
162#16839860C2211yescharacteristic
163#16839849C2211yescharacteristic
164#16839849C2211yescharacteristic, complemented
165#16839847C2211yescharacteristic
166#16839847C2211yescharacteristic, complemented
167#16839836C2211yescharacteristic
168#16839834C2211yescharacteristic, complemented
169#16839831C2211yescharacteristic
170C8×C22⋊D61C2211yescharacteristic, complemented
171#16839825C2211yescharacteristic, complemented
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839802C2211yescharacteristic, complemented
176#16839798C2211yescharacteristic, complemented
177#106×D61C2211yescharacteristic, complemented
178#106×D61C2211yescharacteristic, complemented
179#16839785C2211yescharacteristic, complemented
180C2×#14519706C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839768C2211yescharacteristic
183#16839766C2211yescharacteristic
184#16839759C2211yescharacteristic
185#16839756C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
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×Dic244C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758190C2311yescharacteristic
216C2×#11758200C2311yescharacteristic
217C2×#11758201C2311yescharacteristic
218C2×#11758201C2311yescharacteristic
219C2×#11758194C2311yescharacteristic
220C22×#92418C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223#14519777—21no—
224#14519777C2311yescharacteristic
225#14519776—21no—
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519775—21no—
231#14519775—21no—
232#14519775C2311yescharacteristic
233#14519773C2311yescharacteristic
234#14519772—21no—
235#14519771—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519769—21no—
244#14519769—21no—
245#14519768—21no—
246#14519768—21no—
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519765C2311yescharacteristic
261#14519764—21no—
262#14519764C2311yescharacteristic
263#14519763—21no—
264#14519763—21no—
265#14519762—21no—
266#14519762—21no—
267#14519760—21no—
268#14519759—21no—
269#14519759—21no—
270#14519759—21no—
271#14519759—21no—
272#14519759—21no—
273#14519759—21no—
274#14519759—21no—
275#14519758—21no—
276#14519757—21no—
277#14519757C2311yescharacteristic
278#14519757C2311yescharacteristic
279#14519756—21no—
280#14519756C2311yescharacteristic
281#14519756C2311yescharacteristic
282#14519756C2311yescharacteristic
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519754—21no—
288#14519754—21no—
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519753C2311yescharacteristic
294#14519752C2311yescharacteristic
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×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122—21no—
312C4×Dic122—21no—
313C4×Dic122—21no—
314C4×Dic122C2311yescharacteristic
315C4×Dic122C2311yescharacteristic
316#14519742—21no—
317#14519742—21no—
318#14519742—21no—
319#14519742D411yescharacteristic
320#14519742C2311yescharacteristic
321#14519742C2311yescharacteristic
322#14519742C2311yescharacteristic
323#14519742C2311yescharacteristic
324C4×D244—21no—
325C4×D244C2311yescharacteristic
326D4×Dic61—21no—
327D4×Dic61D411yescharacteristic
328D4×Dic61C2311yescharacteristic
329#14519739—21no—
330#14519739—21no—
331#14519739—21no—
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#14519737D411yescharacteristic
347#14519737D411yescharacteristic
348#14519736C2311yescharacteristic
349#14519736C2311yescharacteristic
350#14519735—21no—
351#14519735—21no—
352#14519735—21no—
353#14519735D411yescharacteristic
354#14519734—21no—
355#14519734—21no—
356#14519734—21no—
357#14519734—21no—
358#14519733—21no—
359#14519733—21no—
360#14519733—21no—
361#14519733D411yescharacteristic
362#14519733D411yescharacteristic
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61C2311yescharacteristic
366C4⋊C4×D61C2311yescharacteristic
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#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519708C2311yescharacteristic
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#14519702C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
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⋊D61C2×D411yescharacteristic
496C2×C22⋊D61C2×D411yescharacteristic
497C22×Dic61—21no—
498C22×Dic61C2×D411yescharacteristic
499C22×Dic61C2×D411yescharacteristic
500C22×Dic61C2×D411yescharacteristic
501C22×Dic61C2×D411yescharacteristic
502Q8×D61—44no—
503#11758224—42no—
504#11758224—82no—
505D4×D61—22no—
506D4×D61—41no—
507D4×D61—44no—
508#11758222—22no—
509#11758222—41no—
510C2×D244—22no—
511C2×D244—21no—
512C2×D244—21no—
513C2×D244—41no—
514C2×D244C2411yescharacteristic
515C2×D244C2411yescharacteristic
516C2×C4×D61—21no—
517C2×C4×D61—21no—
518C2×C4×D61—21no—
519C2×C4×D61—21no—
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—82no—
527C2×C4×D61—82no—
528C2×C4×D61C2×D411yescharacteristic
529C2×C4×D61C2×D411yescharacteristic
530C2×C4×D61C2411yescharacteristic
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122C2×D411yescharacteristic
537C2×Dic122C2411yescharacteristic
538C2×Dic122C2411yescharacteristic
539SD16×C61—41no—
540M16×C61—41no—
541C2×C8×C61—41no—
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
554C4⋊C4×C61C2411yescharacteristic
555C4⋊C4×C61C2411yescharacteristic
556C4⋊C4×C61C2411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C22⋊C4×C61—21no—
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61C2×D411yescharacteristic
569C22⋊C4×C61C2×D411yescharacteristic
570C42×C61—21no—
571C42×C61—21no—
572C42×C61—21no—
573C42×C61—21no—
574C42×C61C2411yescharacteristic
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61C2×D411yescharacteristic
584C22⋊Dic61C2×D411yescharacteristic
585#11758202—41no—
586#11758201—22no—
587#11758201—41no—
588#11758200—41no—
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#11758198C2×D411yescharacteristic
603#11758198C2×D411yescharacteristic
604C4⋊Dic61—21no—
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61C2×D411yescharacteristic
615C4⋊Dic61C2411yescharacteristic
616C4⋊Dic61C2411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646C4×Dic61—21no—
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
670Dic244—41no—
671#11758190—22no—
672#11758190—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61C22×D411yescharacteristic
677C23×C61C22×D411yescharacteristic
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—42no—
681C22×D61—42no—
682C22×D61—42no—
683C22×D61—42no—
684C22×D61—81no—
685C22×D61—81no—
686C22×D61C22×D411yescharacteristic
687Q8×C61—21no—
688Q8×C61—21no—
689Q8×C61—42no—
690D4×C61—21no—
691D4×C61—21no—
692D4×C61—41no—
693D4×C61—42no—
694D4×C61—81no—
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—21no—
705C2×C4×C61—21no—
706C2×C4×C61—81no—
707C2×C4×C61—81no—
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C2511yescharacteristic
713C22⋊D61—22no—
714C22⋊D61—22no—
715C22⋊D61—42no—
716C22⋊D61—42no—
717C22⋊D61—42no—
718C22⋊D61—81no—
719C22⋊D61—81no—
720C2×Dic61—22no—
721C2×Dic61—22no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—41no—
729C2×Dic61—41no—
730C2×Dic61—42no—
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738D244—21no—
739D244—21no—
740D244—21no—
741D244—42no—
742D244—42no—
743D2442−1+412yes—
744C4×D61—22no—
745C4×D61—21no—
746C4×D61—21no—
747C4×D61—22no—
748C4×D61—42no—
749C4×D61—42no—
750C4×D61—42no—
751C4×D61—42no—
752C4×D61—42no—
753C4×D61—42no—
754C4×D61—81no—
755C4×D61—81no—
756C4×D61—81no—
757C4×D61—81no—
758Dic122—21no—
759Dic122—21no—
760Dic122—21no—
761Dic122—21no—
762Dic122—41no—
763Dic122—42no—
764Dic122—42no—
765Dic122—42no—
766Dic122—42no—
767Dic122—81no—
768C8×C61—21no—
769C8×C61—21no—
770C8×C61—21no—
771C8×C61—21no—
772#92418—21no—
773#92418—21no—
774#92418—21no—
775#92418—21no—
776#62126—611nomaximal, Sylow
777C22×C61—21no—
778C22×C61—21no—
779C22×C61—21no—
780C22×C61—21no—
781C22×C61—21no—
782C22×C61—21no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61C23×D411yescharacteristic
787C2×D61—21no—
788C2×D61—21no—
789C2×D61—22no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—84no—
796C2×D61—84no—
797C2×D61#57512yes—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61C2×2−1+411yescharacteristic
810C4×C61#58511yescharacteristic
811Dic61—21no—
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—21no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61#57712yes—
824#3509—611no—
825#3481—611no—
826#3388—611no—
827#3388—611no—
828#3371—611no—
829#3371—611no—
830#3350—611no—
831#3350D6111yescharacteristic, complemented
832#3344—611no—
833#3344—611no—
834#3337—611no—
835#3337—611no—
836#3311—611no—
837#3311—611no—
838#3310—611no—
839#3310—611no—
840#3296—611no—
841#3296—611no—
842#3252—611no—
843#3248—611no—
844#3246—611no—
845#3238—611no—
846#3235—611no—
847#3233—611no—
848#3116—611no—
849#3110—611no—
850#3101—611no—
851#3077—611no—
852#3076—611no—
853C2×#476—611no—
854#2990—611no—
855C2×C61—41no—
856C2×C61—41no—
857C2×C61—81no—
858C2×C61#348911yescharacteristic
859C2×C61C2×#57511yescharacteristic
860C2×C61C2×#57711yescharacteristic
861D61—22no—
862D61—42no—
863D61—81no—
864#559—611no—
865#557—611no—
866#557—611no—
867#557—1221no—
868#556—611no—
869#556—1221no—
870#556C2×D6111yescharacteristic, complemented
871#554—611no—
872#554—611no—
873#553—611no—
874#553—1221no—
875#553C2×D6111yescharacteristic
876#552—611no—
877#552—611no—
878#552—611no—
879#552—611no—
880#552—1221no—
881#552—1221no—
882#551—1221no—
883#551—1221no—
884#546—611no—
885#546—611no—
886#546—1221no—
887D42—611no—
888#541—1221no—
889#541—1221no—
890#536—1221no—
891#533—611no—
892#533—611no—
893#533—611no—
894#533—611no—
895#533—611no—
896#532—611no—
897C2×C4⋊Q8—611no—
898#529—611no—
899#529—611no—
900#529—1221no—
901#525—1221no—
902#525—1221no—
903#519—1221no—
904C4×#41—611no—
905C4×#41—611no—
906C2×C4×D4—611no—
907C2×C4×D4—611no—
908C2×C4×D4—1221no—
909#501—611no—
910#501—611no—
911#501—611no—
912#501C2×D6111yescharacteristic, complemented
913#499—611no—
914#499—611no—
915#490—611no—
916#490—611no—
917#489—611no—
918#489—611no—
919#488—611no—
920#488—611no—
921#485—611no—
922#485—611no—
923#485—611no—
924#485C2×D6111yescharacteristic, complemented
925#484—611no—
926#484—611no—
927#483—611no—
928#483—611no—
929#483—611no—
930#483C2×D6111yescharacteristic, complemented
931#482—611no—
932#482—611no—
933#482—611no—
934#482—611no—
935#482C2×D6111yescharacteristic
936#482C2×D6111yescharacteristic, complemented
937#480—611no—
938#480—611no—
939#479—611no—
940#479—611no—
941#479—611no—
942#479—611no—
943#479—611no—
944#479C2×D6111yescharacteristic, complemented
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#477—611no—
952#477—611no—
953#476—611no—
954#476—611no—
955#476—611no—
956#476—611no—
957#476—611no—
958#476—611no—
959#476—611no—
960#476—611no—
961#476—611no—
962#476C2×D6111yescharacteristic, complemented
963#475—611no—
964#475—611no—
965#475—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#470—611no—
970#470—611no—
971#468—611no—
972#468C2×D6111yescharacteristic
973#467—611no—
974#467—611no—
975#465—611no—
976#465—611no—
977#465—611no—
978#465—611no—
979#465—611no—
980#465C2×D6111yescharacteristic, complemented
981#464—611no—
982#464—611no—
983#464—611no—
984#464—611no—
985#462—611no—
986#461—611no—
987#461—611no—
988#461—611no—
989#460—611no—
990#460—611no—
991#452—611no—
992#452—611no—
993#450—611no—
994#450—611no—
995#450—611no—
996#450—611no—
997#446—611no—
998#446—611no—
999#441—611no—
1000#441—611no—
1001#440—611no—
1002#440—611no—
1003#440—611no—
1004#440—611no—
1005#440—611no—
1006#440C2×D6111yescharacteristic, complemented
1007C4×SD16—611no—
1008C4×SD16—611no—
1009C4×SD16—611no—
1010C4×SD16—611no—
1011#435—611no—
1012#435—611no—
1013#435—611no—
1014#435C2×D6111yescharacteristic, complemented
1015C8×D4—611no—
1016C8×D4—611no—
1017#432—611no—
1018#432—611no—
1019#431—611no—
1020#428—611no—
1021#428C2×D6111yescharacteristic, complemented
1022#427—611no—
1023#427C2×D6111yescharacteristic, complemented
1024C2×#106—611no—
1025C2×#106—611no—
1026#423—611no—
1027C2×C4⋊C8—611no—
1028C2×C4⋊C8—611no—
1029#418—611no—
1030#418—611no—
1031#416—611no—
1032#416—611no—
1033C2×#102—611no—
1034C2×#102—611no—
1035C61#6212611yescharacteristic, complemented, Sylow
1036C2×#41—611no—
1037C2×#41—611no—
1038C2×#41—1221no—
1039C22×Q8—1221no—
1040C22×D4—611no—
1041C22×D4—611no—
1042C22×D4—1221no—
1043C23×C4—1221no—
1044C23×C4—1221no—
1045C2×Q16—611no—
1046C2×Q16—611no—
1047C2×SD16—611no—
1048C2×SD16—611no—
1049C2×SD16—611no—
1050C2×SD16—611no—
1051C2×SD16—611no—
1052C2×SD16C22×D6111yescharacteristic
1053C2×M16—611no—
1054C2×M16C22×D6111yescharacteristic
1055C22×C8—611no—
1056C22×C8—611no—
1057C22×C8—611no—
1058C22×C8C22×D6111yescharacteristic
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—611no—
1063C4⋊Q8—611no—
1064C4⋊Q8—611no—
1065C4⋊Q8—1221no—
1066C4⋊Q8—1221no—
1067C4⋊Q8—1221no—
1068C4⋊Q8—1221no—
1069C4⋊Q8C22×D6111yescharacteristic
1070#127—611no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—1221no—
1089#125—1221no—
1090#125—1221no—
1091#125—1221no—
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#125C22×D6111yescharacteristic
1101#124—21no—
1102#124—611no—
1103#124—611no—
1104#124—1221no—
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—
1119C22⋊Q8—611no—
1120C22⋊Q8—611no—
1121C22⋊Q8—611no—
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⋊Q8C22×D6111yescharacteristic
1138C22⋊Q8C22×D6111yescharacteristic
1139#121—21no—
1140#121—611no—
1141#121—611no—
1142#121—1221no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121C22×D6111yescharacteristic
1148#121C22×D6111yescharacteristic
1149#120—1221no—
1150#120—1221no—
1151#120—1221no—
1152#120—1221no—
1153C4×Q8—21no—
1154C4×Q8—611no—
1155C4×Q8—611no—
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—611no—
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8—1221no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8—1221no—
1171C4×Q8—1221no—
1172C4×Q8—1221no—
1173C4×Q8C22×D6111yescharacteristic
1174C4×D4—21no—
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—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4C22×D6111yescharacteristic
1200C4×D4C22×D6111yescharacteristic
1201#117—611no—
1202#117—611no—
1203#117—611no—
1204#117—611no—
1205#117—611no—
1206#117—1221no—
1207#117—1221no—
1208#117—1221no—
1209#117—1221no—
1210#117—1221no—
1211#117—1221no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117C22×D6111yescharacteristic
1217#117C22×D6111yescharacteristic
1218#117C22×D6111yescharacteristic
1219C2×C4⋊C4—611no—
1220C2×C4⋊C4—611no—
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—1221no—
1223C2×C4⋊C4—1221no—
1224C2×C4⋊C4C22×D6111yescharacteristic
1225C2×C22⋊C4—1221no—
1226C2×C22⋊C4—1221no—
1227C2×C22⋊C4—1221no—
1228C2×C22⋊C4—1221no—
1229C2×C42—611no—
1230C2×C42—611no—
1231C2×C42—611no—
1232C2×C42—1221no—
1233#107—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#107—611no—
1239#107C22×D6111yescharacteristic
1240#107C22×D6111yescharacteristic
1241#107C22×D6111yescharacteristic
1242#107C22×D6111yescharacteristic
1243#106—611no—
1244#106—611no—
1245#106—611no—
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106—611no—
1251#106—611no—
1252#106C22×D6111yescharacteristic
1253#106C22×D6111yescharacteristic
1254#106C22×D6111yescharacteristic
1255#106C22×D6111yescharacteristic
1256#106C22×D6111yescharacteristic
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8—611no—
1264C4⋊C8—611no—
1265C4⋊C8—611no—
1266C4⋊C8C22×D6111yescharacteristic
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103C22×D6111yescharacteristic
1279#103C22×D6111yescharacteristic
1280#103C22×D6111yescharacteristic
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
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#102C22×D6111yescharacteristic
1297#102C22×D6111yescharacteristic
1298#102C22×D6111yescharacteristic
1299C22⋊C8—611no—
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8—611no—
1303C22⋊C8C22×D6111yescharacteristic
1304C22⋊C8C22×D6111yescharacteristic
1305#97—611no—
1306#97—611no—
1307#97—611no—
1308#97C22×D6111yescharacteristic
1309C4×C8—611no—
1310C4×C8—611no—
1311C24—1221no—
1312C24—1221no—
1313#41—1222no—
1314#41—4882no—
1315#41—2441no—
1316#41—2442no—
1317C2×Q8—21no—
1318C2×Q8—611no—
1319C2×Q8—611no—
1320C2×Q8—611no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—1221no—
1326C2×Q8—2444no—
1327C2×Q8C23×D6111yescharacteristic
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—611no—
1331C2×D4—611no—
1332C2×D4—611no—
1333C2×D4—611no—
1334C2×D4—1222no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1222no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—2441no—
1344C2×D4—2441no—
1345C2×D4—2444no—
1346C2×D4D4×D6111yescharacteristic
1347C2×D4C23×D6111yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—611no—
1351C22×C4—611no—
1352C22×C4—611no—
1353C22×C4—611no—
1354C22×C4—611no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—4882no—
1369C22×C4—4882no—
1370C22×C4C23×D6111yescharacteristic
1371C22×C4C23×D6111yescharacteristic
1372Q16—2441no—
1373Q16—2441no—
1374SD16—41no—
1375SD16—1222no—
1376SD16—1222no—
1377SD16—2441no—
1378SD16—2441no—
1379SD16—2441no—
1380M16—41no—
1381M16—2441no—
1382C2×C8—41no—
1383C2×C8—611no—
1384C2×C8—611no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—2441no—
1388C2×C8—2441no—
1389C2×C8—2441no—
1390C2×C8C23×D6111yescharacteristic
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
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⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4D4×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C4⋊C4C23×D6111yescharacteristic
1449C4⋊C4C23×D6111yescharacteristic
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—611no—
1459C22⋊C4—611no—
1460C22⋊C4—611no—
1461C22⋊C4—611no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1484C22⋊C4D4×D6111yescharacteristic
1485C42—21no—
1486C42—21no—
1487C42—21no—
1488C42—21no—
1489C42—611no—
1490C42—611no—
1491C42—611no—
1492C42—611no—
1493C42—611no—
1494C42—611no—
1495C42—611no—
1496C42—611no—
1497C42—611no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42C23×D6111yescharacteristic
1508C23—21no—
1509C23—611no—
1510C23—1221no—
1511C23—1221no—
1512C23—4881no—
1513C23—4881no—
1514C23—2442no—
1515C23—2442no—
1516C23—2442no—
1517C23—2442no—
1518C23C2×D4×D6111yescharacteristic
1519C23C2×D4×D6111yescharacteristic
1520Q8—21no—
1521Q8—21no—
1522Q8—42no—
1523Q8—1221no—
1524Q8—1221no—
1525Q8—1221no—
1526Q8—1221no—
1527Q8—4881no—
1528Q8—2441no—
1529Q8—2442no—
1530Q8—2442no—
1531Q8—2442no—
1532Q8—2442no—
1533D4—21no—
1534D4—21no—
1535D4—41no—
1536D4—42no—
1537D4—81no—
1538D4—612no—
1539D4—1222no—
1540D4—1222no—
1541D4—1221no—
1542D4—1221no—
1543D4—1221no—
1544D4—4881no—
1545D4—4881no—
1546D4—2442no—
1547D4—2442no—
1548D4—2442no—
1549D4—2442no—
1550D4—2442no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—611no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—611no—
1570C2×C4—611no—
1571C2×C4—1222no—
1572C2×C4—1222no—
1573C2×C4—1222no—
1574C2×C4—1222no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—4881no—
1587C2×C4—2442no—
1588C2×C4—2442no—
1589C2×C4—2442no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4—2442no—
1593C2×C4—2442no—
1594C2×C4—2441no—
1595C2×C4—2441no—
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C2×D4×D6111yescharacteristic
1599C2×C4C2×D4×D6111yescharacteristic
1600C2×C4C24×D6111yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—1221no—
1606C8—1221no—
1607C8—1221no—
1608C8—1221no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—612no—
1619C22—1221no—
1620C22—1221no—
1621C22—1222no—
1622C22—4884no—
1623C22—4884no—
1624C22—2441no—
1625C22—2441no—
1626C22—2441no—
1627C22—2441no—
1628C22—2441no—
1629C22C22×D4×D6111yescharacteristic
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—612no—
1642C4—1221no—
1643C4—1221no—
1644C4—1221no—
1645C4—1221no—
1646C4—1221no—
1647C4—1221no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C42−1+4×D6111yescharacteristic
1655C4#1684059811yescharacteristic
1656C2—41no—
1657C2—41no—
1658C2—81no—
1659C2—1222no—
1660C2—4881no—
1661C2—2442no—
1662C2#2145949311yescharacteristic
1663C2#575×D6111yescharacteristic
1664C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3350C2
socleC22×C61C23×D4
prime radical#21459426C2
hypercenter#3350D61
hypocenterC61#62126
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. #21459699C2semidirect
3. #21458767C2semidirect
4. #21458759C2semidirect
5. #21458594C2semidirect
6. #21458592C2semidirect
7. #21458358C2semidirect
8. #21458277C2semidirect
9. #21458275C2semidirect
10. #21458201C2semidirect
11. #21458199C2semidirect
12. #21457857C2semidirect
13. #21457849C2semidirect
14. #21457843C2semidirect
15. #21457835C2semidirect
16. #21457657C2semidirect
17. #21457649C2semidirect
18. #21457185C2semidirect
19. #21457155C2semidirect
20. #21457130C2semidirect
21. #21457041C2semidirect
22. #21457014C2semidirect
23. #21456995C2semidirect
24. #21455976C2semidirect
25. #21455916C2semidirect
26. #21455824C2semidirect
27. #21455615C2semidirect
28. #21455605C2semidirect
29. #476×D61C2semidirect
30. #21454939C2semidirect
31. C61×#3350C2semidirect
33. #16840491C22semidirect
35. #16840487C22semidirect
36. #16840482C22semidirect
43. #16840451C22semidirect
47. #16840446C22semidirect
57. #16840316C22semidirect
58. #16840315C22semidirect
59. #16840315C22semidirect
60. #16840314C22semidirect
61. #16840314C22semidirect
63. C4⋊Q8×D61C22semidirect
75. #16840172C22semidirect
76. #16840170C22semidirect
77. #16840169C22semidirect
78. #16840163C22semidirect
79. #16840162C22semidirect
82. #16840124C22semidirect
83. #16840122C22semidirect
84. #16840115C22semidirect
85. #16840115C22semidirect
86. #16840104C22semidirect
87. #16840103C22semidirect
88. #16840103C22semidirect
89. #16840099C22semidirect
90. #16840096C22semidirect
91. #16840094C22semidirect
92. #16840094C22semidirect
93. #16840092C22semidirect
94. #16840087C22semidirect
95. #16840086C22semidirect
97. #16840083C22semidirect
100. #16840072C22semidirect
101. #16840068C22semidirect
102. #16840068C22semidirect
103. #16840067C22semidirect
104. #16840066C22semidirect
107. #16840065C22semidirect
110. #16840061C22semidirect
111. #16840056C22semidirect
112. #16840056C22semidirect
114. #16840052C22semidirect
117. #16840051C22semidirect
118. #16840051C22semidirect
119. #16840050C22semidirect
120. #16840050C22semidirect
122. #16840046C22semidirect
123. #16840046C22semidirect
124. #16840045C22semidirect
126. #16840041C22semidirect
127. #16840040C22semidirect
128. #16840020C22semidirect
129. #16840018C22semidirect
131. #16840004C22semidirect
132. #16840002C22semidirect
134. #16839993C22semidirect
136. #16839991C22semidirect
137. #16839989C22semidirect
138. #16839985C22semidirect
139. #16839984C22semidirect
140. #16839983C22semidirect
141. #16839982C22semidirect
142. #16839971C22semidirect
144. #16839966C22semidirect
145. #16839965C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
156. #16839868C22semidirect
157. #16839866C22semidirect
160. #16839862C22semidirect
164. #16839849C22semidirect
166. #16839847C22semidirect
168. #16839834C22semidirect
170. C8×C22⋊D61C22semidirect
171. #16839825C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839802C22semidirect
176. #16839798C22semidirect
177. #106×D61C22semidirect
178. #106×D61C22semidirect
179. #16839785C22semidirect
180. C2×#14519706C22semidirect
181. C4⋊C8×D61C22semidirect
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
831. #3350D61semidirect
870. #556C2×D61semidirect
912. #501C2×D61semidirect
924. #485C2×D61semidirect
930. #483C2×D61semidirect
936. #482C2×D61semidirect
944. #479C2×D61semidirect
962. #476C2×D61semidirect
980. #465C2×D61semidirect
1006. #440C2×D61semidirect
1014. #435C2×D61semidirect
1021. #428C2×D61semidirect
1023. #427C2×D61semidirect
1035. C61#62126semidirect

Maximal subgroups

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

subgroupindex
#214596992
#214594262
#214587672
#214587592
#214585942
#214585922
#214583582
#214582772
#214582752
#214582012
#214581992
#214578572
#214578492
#214578432
#214578352
#214576572
#214576492
#214571852
#214571552
#214571302
#214570412
#214570142
#214569952
#214559762
#214559162
#214558242
#214556152
#214556052
#476×D612
#214549392
C61×#33502
#6212661