Finite Group Databasebeta

← #30575887

Subgroups — #30575887

Order 15616.

1772 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459727C211yesmaximal, characteristic, complemented
2#21459380C211yesmaximal, characteristic, complemented
3#21458779C211yesmaximal, characteristic, complemented
4#21458773C211yesmaximal, characteristic, complemented
5#21458640C211yesmaximal, characteristic, complemented
6#21458384C211yesmaximal, characteristic, complemented
7#21458376C211yesmaximal, characteristic, complemented
8#21458341C211yesmaximal, characteristic, complemented
9#21458339C211yesmaximal, characteristic, complemented
10#21458324C211yesmaximal, characteristic, complemented
11#21458316C211yesmaximal, characteristic, complemented
12#21458027C211yesmaximal, characteristic, complemented
13#21458019C211yesmaximal, characteristic, complemented
14#21457982C211yesmaximal, characteristic, complemented
15#21457974C211yesmaximal, characteristic, complemented
16#21457802C211yesmaximal, characteristic, complemented
17#21457794C211yesmaximal, characteristic, complemented
18#21457203C211yesmaximal, characteristic, complemented
19#21457178C211yesmaximal, characteristic, complemented
20#21457142C211yesmaximal, characteristic, complemented
21#21457036C211yesmaximal, characteristic, complemented
22#21457028C211yesmaximal, characteristic, complemented
23#21456993C211yesmaximal, characteristic, complemented
24#21455968C211yesmaximal, characteristic, complemented
25#21455908C211yesmaximal, characteristic, complemented
26#21455877C211yesmaximal, characteristic, complemented
27#21455629C211yesmaximal, characteristic, complemented
28#21455614C211yesmaximal, characteristic, complemented
29#21455606C211yesmaximal, characteristic, complemented
30#21454935C211yesmaximal, characteristic, complemented
31C61×#3376C211yesmaximal, characteristic, complemented
32#16840483—21no—
33#16840478C2211yescharacteristic
34#16840477C2211yescharacteristic
35#16840477C2211yescharacteristic
36#16840472C2211yescharacteristic
37#16840472C2211yescharacteristic, complemented
38#16840465C2211yescharacteristic
39#16840465C2211yescharacteristic, complemented
40#16840462C2211yescharacteristic
41#16840462C2211yescharacteristic, complemented
42#16840456—21no—
43#16840453C2211yescharacteristic
44#16840453C2211yescharacteristic
45#16840446—21no—
46#16840437—21no—
47#16840437—21no—
48#16840422—21no—
49#16840422—21no—
50#16840415C2211yescharacteristic
51#16840413—21no—
52#16840405C2211yescharacteristic
53#16840405C2211yescharacteristic
54#16840382—21no—
55#16840382—21no—
56#16840342—21no—
57#16840318C2211yescharacteristic
58#16840318C2211yescharacteristic, complemented
59#16840317C2211yescharacteristic
60#16840309C2211yescharacteristic
61#16840309C2211yescharacteristic, complemented
62#16840309C2211yescharacteristic, complemented
63C4⋊Q8×D61C2211yescharacteristic, complemented
64#16840295—21no—
65#16840295—21no—
66#16840291C2211yescharacteristic
67#16840291C2211yescharacteristic
68#16840275—21no—
69#16840243—21no—
70C4×#11758226C2211yescharacteristic
71C4×#11758226C2211yescharacteristic
72C4×#11758226C2211yescharacteristic
73C4×D4×D61C2211yescharacteristic
74#117×D61—21no—
75#16840172C2211yescharacteristic, complemented
76#16840171C2211yescharacteristic, complemented
77#16840171C2211yescharacteristic, complemented
78#16840168C2211yescharacteristic, complemented
79#16840164C2211yescharacteristic, complemented
80#16840161C2211yescharacteristic, complemented
81#16840130C2211yescharacteristic, complemented
82#16840121C2211yescharacteristic
83#16840116C2211yescharacteristic
84#16840102C2211yescharacteristic
85#16840102C2211yescharacteristic
86#16840102C2211yescharacteristic, complemented
87#16840101C2211yescharacteristic
88#16840101C2211yescharacteristic
89#16840101C2211yescharacteristic, complemented
90#16840091C2211yescharacteristic, complemented
91#16840091C2211yescharacteristic, complemented
92#16840089C2211yescharacteristic, complemented
93#16840088C2211yescharacteristic, complemented
94#16840085C2211yescharacteristic
95#16840085C2211yescharacteristic, complemented
96#16840084C2211yescharacteristic
97#16840084C2211yescharacteristic, complemented
98#16840082C2211yescharacteristic
99#16840079C2211yescharacteristic
100#16840074C2211yescharacteristic
101#16840074C2211yescharacteristic
102#16840069C2211yescharacteristic, complemented
103#16840063C2211yescharacteristic
104#16840063C2211yescharacteristic
105#16840063C2211yescharacteristic, complemented
106#16840063C2211yescharacteristic, complemented
107#16840062C2211yescharacteristic
108#16840062C2211yescharacteristic, complemented
109#16840062C2211yescharacteristic, complemented
110#16840059C2211yescharacteristic
111#16840059C2211yescharacteristic
112#16840055C2211yescharacteristic, complemented
113#16840055C2211yescharacteristic, complemented
114#16840055C2211yescharacteristic, complemented
115#16840055C2211yescharacteristic, complemented
116#16840051C2211yescharacteristic
117#16840051C2211yescharacteristic
118#16840050C2211yescharacteristic
119#16840050C2211yescharacteristic
120#16840047C2211yescharacteristic, complemented
121#16840045C2211yescharacteristic, complemented
122#16840045C2211yescharacteristic, complemented
123#16840043C2211yescharacteristic
124#16840043C2211yescharacteristic, complemented
125#16840042C2211yescharacteristic, complemented
126#16840041C2211yescharacteristic
127#16840040C2211yescharacteristic
128#16840039C2211yescharacteristic
129#16840014C2211yescharacteristic
130#16840012C2211yescharacteristic
131#16840011C2211yescharacteristic
132#16840011C2211yescharacteristic
133#16840011C2211yescharacteristic, complemented
134#16840005C2211yescharacteristic
135#16840005C2211yescharacteristic
136#16840005C2211yescharacteristic, complemented
137#16839997C2211yescharacteristic
138#16839995C2211yescharacteristic
139#16839994C2211yescharacteristic, complemented
140#16839988C2211yescharacteristic, complemented
141#16839974C2211yescharacteristic
142#16839974C2211yescharacteristic
143#16839964C2211yescharacteristic, complemented
144#16839960C2211yescharacteristic, complemented
145#16839960C2211yescharacteristic, complemented
146#16839956C2211yescharacteristic
147#16839955C2211yescharacteristic
148#16839910C2211yescharacteristic
149#16839910C2211yescharacteristic
150#16839906C2211yescharacteristic
151#16839906C2211yescharacteristic
152#16839897C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839893C2211yescharacteristic, complemented
155#16839875C2211yescharacteristic
156#16839875C2211yescharacteristic
157#16839872C2211yescharacteristic
158#16839872C2211yescharacteristic
159#16839872C2211yescharacteristic
160#16839860C2211yescharacteristic, complemented
161C4×#11758201C2211yescharacteristic, complemented
162C4×D488C2211yescharacteristic
163C4×#11758199C2211yescharacteristic
164#16839841C2211yescharacteristic
165#16839839C2211yescharacteristic
166#16839835C2211yescharacteristic
167#16839835C2211yescharacteristic, complemented
168#16839832C2211yescharacteristic
169#16839832C2211yescharacteristic, complemented
170#16839817C2211yescharacteristic
171#16839817C2211yescharacteristic, complemented
172#16839813C2211yescharacteristic, complemented
173#16839803C2211yescharacteristic
174#16839801C2211yescharacteristic
175#16839801C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic, complemented
177#16839799C2211yescharacteristic, complemented
178#16839797C2211yescharacteristic, complemented
179#16839784C2211yescharacteristic
180#16839784C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839762C2211yescharacteristic
185#16839762C2211yescharacteristic
186#16839757C2211yescharacteristic
187#16839757C2211yescharacteristic
188C61×#556C2211yescharacteristic
189C61×#554C2211yescharacteristic, complemented
190C61×#491C2211yescharacteristic, complemented
191C61×#489C2211yescharacteristic
192C61×#488C2211yescharacteristic
193C61×#479C2211yescharacteristic, complemented
194C61×#478C2211yescharacteristic
195C61×#475C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic
197C61×#463C2211yescharacteristic
198C61×#461C2211yescharacteristic, complemented
199C61×#446C2211yescharacteristic, complemented
200C61×#442C2211yescharacteristic
201C61×#440C2211yescharacteristic, complemented
202C4×SD16×C61C2211yescharacteristic, complemented
203C2×#11758226D411yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758226C2311yescharacteristic
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758222—21no—
209C2×Q8×D61—21no—
210C2×D4×D61C2311yescharacteristic
211C22×C4×D61—21no—
212C2×#11758201C2311yescharacteristic
213C2×#11758201C2311yescharacteristic
214C2×D488C2311yescharacteristic
215C2×#11758199C2311yescharacteristic
216C2×#11758199C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C2×#11758189C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223#14519777C2311yescharacteristic
224#14519777C2311yescharacteristic
225#14519776—21no—
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519775—21no—
230#14519773C2311yescharacteristic
231#14519772—21no—
232#14519772—21no—
233#14519771—21no—
234#14519771—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519769C2311yescharacteristic
240#14519769C2311yescharacteristic
241#14519769C2311yescharacteristic
242#14519769C2311yescharacteristic
243#14519768—21no—
244#14519767—21no—
245#14519767—21no—
246#14519766—21no—
247#14519766—21no—
248#14519763—21no—
249#14519763—21no—
250#14519763—21no—
251#14519763—21no—
252#14519763—21no—
253#14519763—21no—
254#14519763—21no—
255#14519762—21no—
256#14519762—21no—
257#14519762—21no—
258#14519762—21no—
259#14519762—21no—
260#14519762—21no—
261#14519760—21no—
262#14519760—21no—
263#14519759—21no—
264#14519759—21no—
265#14519759—21no—
266#14519759—21no—
267#14519757—21no—
268#14519755—21no—
269#14519755—21no—
270#14519755—21no—
271#14519755—21no—
272#14519755—21no—
273#14519755—21no—
274#14519755—21no—
275#14519755—21no—
276#14519753—21no—
277#14519753—21no—
278#14519753C2311yescharacteristic
279#14519753C2311yescharacteristic
280#14519753C2311yescharacteristic
281#14519753C2311yescharacteristic
282#14519752—21no—
283#14519752—21no—
284#14519752—21no—
285#14519752—21no—
286#14519752C2311yescharacteristic
287#14519752C2311yescharacteristic
288#14519752C2311yescharacteristic
289#14519751—21no—
290#14519751—21no—
291#14519750—21no—
292#14519750—21no—
293#14519750—21no—
294#14519750—21no—
295#14519750—21no—
296#14519750—21no—
297#14519750—21no—
298#14519748C2311yescharacteristic
299#14519748C2311yescharacteristic
300#14519748C2311yescharacteristic
301#14519748C2311yescharacteristic
302#14519748C2311yescharacteristic
303#14519747—21no—
304#14519747—21no—
305Q8×Dic61D411yescharacteristic
306Q8×Dic61C2311yescharacteristic
307Q8×Dic61C2311yescharacteristic
308#14519742—21no—
309#14519742—21no—
310#14519742—21no—
311#14519742—21no—
312#14519742—21no—
313C4×D244—21no—
314C4×D244—21no—
315C4×D244C2311yescharacteristic
316C4×D244C2311yescharacteristic
317C4×D244C2311yescharacteristic
318C4×D244C2311yescharacteristic
319C4×D244C2311yescharacteristic
320C4×D244C2311yescharacteristic
321C4×D244C2311yescharacteristic
322C4×D244C2311yescharacteristic
323C4×D244C2311yescharacteristic
324D4×Dic61C2311yescharacteristic
325#14519739—21no—
326#14519739—21no—
327#14519739—21no—
328#14519739—21no—
329#14519739D411yescharacteristic
330#14519739D411yescharacteristic
331#14519739D411yescharacteristic
332#14519739C2311yescharacteristic
333C4×C22⋊D61—21no—
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519736—21no—
343#14519736—21no—
344#14519735—21no—
345#14519735—21no—
346#14519735—21no—
347#14519735—21no—
348#14519735D411yescharacteristic
349#14519735D411yescharacteristic
350#14519735D411yescharacteristic
351#14519735C2311yescharacteristic
352#14519735C2311yescharacteristic
353#14519735C2311yescharacteristic
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519734—21no—
358#14519734—21no—
359#14519733—21no—
360#14519733—21no—
361C4⋊C4×D61—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61C2311yescharacteristic
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C22⋊C4×D61—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C42×D61—21no—
372C42×D61—21no—
373C42×D61C2311yescharacteristic
374C42×D61C2311yescharacteristic
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519711C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519688C2311yescharacteristic
433#14519688C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C2×SD16×C61C2311yescharacteristic
437C2×D8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439C4⋊Q8×C61C2311yescharacteristic
440#126×C61—21no—
441#126×C61—21no—
442#125×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444#124×C61C2311yescharacteristic
445#124×C61C2311yescharacteristic
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61—21no—
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457#117×C61—21no—
458C2×C4⋊C4×C61—21no—
459#107×C61C2311yescharacteristic
460#106×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462C4⋊C8×C61C2311yescharacteristic
463C4⋊C8×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C23×D61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61C2×D411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61C2411yescharacteristic
484C2×D4×C61C2411yescharacteristic
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C2×C22⋊D61—21no—
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—
497C22×Dic61—21no—
498#11758226—22no—
499#11758226—22no—
500#11758226—42no—
501#11758226—41no—
502#11758226—41no—
503Q8×D61—82no—
504D4×D61—22no—
505D4×D61—41no—
506#11758222—44no—
507#11758222—82no—
508#11758222—82no—
509C2×D244—21no—
510C2×D244—21no—
511C2×D244—21no—
512C2×D244—21no—
513C2×D244—21no—
514C2×D244C2×D411yescharacteristic
515C2×D244C2×D411yescharacteristic
516C2×D244C2×D411yescharacteristic
517C2×D244C2411yescharacteristic
518C2×D244C2411yescharacteristic
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—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—44no—
532C2×C4×D61C2×D411yescharacteristic
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×C4×D61C2411yescharacteristic
540C2×C4×D61C2411yescharacteristic
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122—21no—
546SD16×C61—41no—
547SD16×C61—41no—
548D8×C61—41no—
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61C2×D411yescharacteristic
563C4⋊C4×C61C2×D411yescharacteristic
564C4⋊C4×C61C2×D411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C42×C61—21no—
578C42×C61—21no—
579C42×C61C2411yescharacteristic
580C42×C61C2411yescharacteristic
581C42×C61C2411yescharacteristic
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588#11758201—41no—
589#11758201—41no—
590#11758199—22no—
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#11758198C2×D411yescharacteristic
613#11758198C2×D411yescharacteristic
614#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
616#11758198C2×D411yescharacteristic
617#11758198C2×D411yescharacteristic
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61C2×D411yescharacteristic
623C4⋊Dic61C2×D411yescharacteristic
624C4⋊Dic61C2×D411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668D488—22no—
669#11758189—41no—
670#11758189—41no—
671#11758189—41no—
672#11758189—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61—21no—
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—42no—
680C22×D61—42no—
681C22×D61—81no—
682C22×D61C22×D411yescharacteristic
683C22×D61C22×D411yescharacteristic
684C22×D61C22×D411yescharacteristic
685Q8×C61—21no—
686Q8×C61—21no—
687Q8×C61—21no—
688Q8×C61—21no—
689Q8×C61—41no—
690Q8×C61—81no—
691D4×C61—21no—
692D4×C61—21no—
693D4×C61—21no—
694D4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—42no—
702C2×C4×C61—42no—
703C2×C4×C61—81no—
704C2×C4×C61—81no—
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C2511yescharacteristic
712C22⋊D61—42no—
713C22⋊D61—42no—
714C22⋊D61—42no—
715C22⋊D61—42no—
716C22⋊D61—81no—
717C22⋊D61—81no—
718C22⋊D61—81no—
719C22⋊D61—81no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—42no—
727C2×Dic61C22×D411yescharacteristic
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732D244—21no—
733D244—21no—
734D244—21no—
735D244—41no—
736D244—41no—
737D244—41no—
738D244—42no—
739D244—42no—
740D244—42no—
741D244—81no—
742D244—81no—
743D2442−1+412yes—
744C4×D61—21no—
745C4×D61—21no—
746C4×D61—21no—
747C4×D61—21no—
748C4×D61—21no—
749C4×D61—21no—
750C4×D61—22no—
751C4×D61—22no—
752C4×D61—22no—
753C4×D61—41no—
754C4×D61—41no—
755C4×D61—41no—
756C4×D61—42no—
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—42no—
769Dic122—42no—
770Dic122—42no—
771Dic122—81no—
772Dic122—81no—
773C8×C61—21no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62115—611nomaximal, Sylow
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61C23×D411yescharacteristic
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—21no—
792C2×D61—21no—
793C2×D61—21no—
794C2×D61—21no—
795C2×D61—22no—
796C2×D61—21no—
797C2×D61—21no—
798C2×D61—21no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—84no—
805C4×C61—21no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—21no—
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—41no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61#57512yes—
830#3511—611no—
831#3475—611no—
832#3389—611no—
833#3389—611no—
834#3376—611no—
835#3376D6111yescharacteristic, complemented
836#3351—611no—
837#3351—611no—
838#3348—611no—
839#3348—611no—
840#3347—611no—
841#3347—611no—
842#3322—611no—
843#3322—611no—
844#3319—611no—
845#3319—611no—
846#3307—611no—
847#3307—611no—
848#3254—611no—
849#3251—611no—
850#3247—611no—
851#3238—611no—
852#3237—611no—
853#3233—611no—
854#3115—611no—
855#3109—611no—
856#3106—611no—
857#3079—611no—
858#3077—611no—
859#3076—611no—
860#2989—611no—
861C2×C61—81no—
862C2×C61—81no—
863C2×C61#348911yescharacteristic
864C2×C61C2×#57511yescharacteristic
865C2×C61#358511yescharacteristic
866D61—41no—
867D61—41no—
868D61—41no—
869D61—42no—
870D61—81no—
871#556—1221no—
872#556C2×D6111yescharacteristic
873#555—611no—
874#555—611no—
875#555—611no—
876#554—611no—
877#554—611no—
878#554C2×D6111yescharacteristic, complemented
879#553—611no—
880#553—611no—
881#553—611no—
882#553—611no—
883#553—1221no—
884#552—611no—
885#552—611no—
886#552—1221no—
887#551—1221no—
888#551—1221no—
889#548—1221no—
890#548—1221no—
891#547—611no—
892#547—1221no—
893#546—611no—
894#546—611no—
895#542—1221no—
896#542—1221no—
897#537—1221no—
898#533—611no—
899#533—611no—
900#533—611no—
901#532—611no—
902#532—611no—
903#532—611no—
904C2×C4⋊Q8—611no—
905#529—611no—
906#529—611no—
907#529—1221no—
908#529—1221no—
909#525—1221no—
910#520—1221no—
911C4×#41—611no—
912C4×#41—611no—
913C4×#41—611no—
914C2×C4×D4—611no—
915C2×#117—1221no—
916#501—611no—
917#501—611no—
918#501—611no—
919#501—611no—
920#499—611no—
921#499—611no—
922#491—611no—
923#491C2×D6111yescharacteristic, complemented
924#489—611no—
925#489C2×D6111yescharacteristic
926#488—611no—
927#488C2×D6111yescharacteristic
928#485—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#485—611no—
933#485—611no—
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482—611no—
939#482—611no—
940#482—611no—
941#482—611no—
942#481—611no—
943#481—611no—
944#480—611no—
945#480—611no—
946#479—611no—
947#479C2×D6111yescharacteristic, complemented
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478—611no—
953#478—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#478C2×D6111yescharacteristic
958#477—611no—
959#477—611no—
960#477—611no—
961#477—611no—
962#476—611no—
963#476—611no—
964#476—611no—
965#476—611no—
966#475—611no—
967#475—611no—
968#475—611no—
969#475C2×D6111yescharacteristic, complemented
970#474—611no—
971#474—611no—
972#474—611no—
973#474—611no—
974#474—611no—
975#474—611no—
976#469—611no—
977#469—611no—
978#468—611no—
979#468—611no—
980#468—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#466—611no—
985#466—611no—
986#465—611no—
987#465—611no—
988#463—611no—
989#463—611no—
990#463C2×D6111yescharacteristic
991#463C2×D6111yescharacteristic
992#461—611no—
993#461C2×D6111yescharacteristic, complemented
994#460—611no—
995#460—611no—
996#459—611no—
997#459—611no—
998#449—611no—
999#449—611no—
1000#449—611no—
1001#449—611no—
1002#447—611no—
1003#447—611no—
1004#446—611no—
1005#446C2×D6111yescharacteristic, complemented
1006#442—611no—
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#442—611no—
1011#442C2×D6111yescharacteristic
1012#440—611no—
1013#440C2×D6111yescharacteristic, complemented
1014C4×SD16—611no—
1015C4×SD16C2×D6111yescharacteristic, complemented
1016C4×D8—611no—
1017C4×D8—611no—
1018#436—611no—
1019#436—611no—
1020#435—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#432—611no—
1025#432—611no—
1026#431—611no—
1027#428—611no—
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#427—611no—
1032#427—611no—
1033#423—611no—
1034#423—611no—
1035C2×C4⋊C8—611no—
1036#418—611no—
1037#418—611no—
1038#417—611no—
1039#417—611no—
1040#416—611no—
1041#416—611no—
1042C61#6211511yescharacteristic, complemented, Sylow
1043C2×#41—611no—
1044C2×#41—611no—
1045C2×#41—611no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C2×#41—1221no—
1049C22×Q8—1221no—
1050C22×D4—611no—
1051C23×C4—1221no—
1052C2×SD16—611no—
1053C2×SD16—611no—
1054C2×SD16C22×D6111yescharacteristic
1055C2×SD16C22×D6111yescharacteristic
1056C2×D8—611no—
1057C2×D8—611no—
1058C2×D8—611no—
1059C2×D8C22×D6111yescharacteristic
1060C2×M16—611no—
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16—611no—
1064C22×C8—611no—
1065C22×C8—611no—
1066C4⋊Q8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—611no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8C22×D6111yescharacteristic
1074C4⋊Q8C22×D6111yescharacteristic
1075#127—611no—
1076#126—21no—
1077#126—21no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125C22×D6111yescharacteristic
1094#125C22×D6111yescharacteristic
1095#124—1221no—
1096#124—1221no—
1097#124—1221no—
1098#124—1221no—
1099#124—1221no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124C22×D6111yescharacteristic
1105#124C22×D6111yescharacteristic
1106#123—1221no—
1107#123—1221no—
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—
1118C22⋊Q8—21no—
1119C22⋊Q8—21no—
1120C22⋊Q8—21no—
1121C22⋊Q8—21no—
1122C22⋊Q8—611no—
1123C22⋊Q8—611no—
1124C22⋊Q8—611no—
1125C22⋊Q8—611no—
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—
1137#121—611no—
1138#121—611no—
1139#121—611no—
1140#121—611no—
1141#121—611no—
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—1221no—
1146#121—1221no—
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#121—1221no—
1156#121—1221no—
1157#121—1221no—
1158#120—1221no—
1159#120—1221no—
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×Q8C22×D6111yescharacteristic
1169C4×Q8C22×D6111yescharacteristic
1170C4×Q8C22×D6111yescharacteristic
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4C22×D6111yescharacteristic
1201C4×D4C22×D6111yescharacteristic
1202C4×D4C22×D6111yescharacteristic
1203C4×D4C22×D6111yescharacteristic
1204#117—21no—
1205#117—611no—
1206#117—611no—
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—611no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222#117—1221no—
1223#117—1221no—
1224C2×C4⋊C4—21no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—611no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C22⋊C4—1221no—
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C42—611no—
1236C2×C42—611no—
1237C2×C42—611no—
1238C2×C42—1221no—
1239C2×C42—1221no—
1240#107—611no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107—611no—
1250#107—611no—
1251#107C22×D6111yescharacteristic
1252#106—611no—
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
1264C4⋊C8—611no—
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8C22×D6111yescharacteristic
1272C4⋊C8C22×D6111yescharacteristic
1273C4⋊C8C22×D6111yescharacteristic
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103C22×D6111yescharacteristic
1281#103C22×D6111yescharacteristic
1282#103C22×D6111yescharacteristic
1283#103C22×D6111yescharacteristic
1284#103C22×D6111yescharacteristic
1285#103C22×D6111yescharacteristic
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#102C22×D6111yescharacteristic
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305#102C22×D6111yescharacteristic
1306C22⋊C8—611no—
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8—611no—
1312#97—611no—
1313#97—611no—
1314#97C22×D6111yescharacteristic
1315#97C22×D6111yescharacteristic
1316C4×C8—611no—
1317C4×C8C22×D6111yescharacteristic
1318C24—1221no—
1319#41—1222no—
1320#41—1222no—
1321#41—4882no—
1322#41—4882no—
1323#41—2444no—
1324#41—2442no—
1325#41—2441no—
1326#41—2441no—
1327C2×Q8—21no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8—1221no—
1331C2×Q8—1221no—
1332C2×Q8—1221no—
1333C2×Q8—4882no—
1334C2×Q8D4×D6111yescharacteristic
1335C2×Q8C23×D6111yescharacteristic
1336C2×Q8C23×D6111yescharacteristic
1337C2×D4—611no—
1338C2×D4—611no—
1339C2×D4—611no—
1340C2×D4—611no—
1341C2×D4—611no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1222no—
1351C2×D4—1221no—
1352C2×D4—1221no—
1353C2×D4—1221no—
1354C2×D4—1221no—
1355C2×D4—1221no—
1356C2×D4—2441no—
1357C2×D4C23×D6111yescharacteristic
1358C2×D4C23×D6111yescharacteristic
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
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—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4—2444no—
1386SD16—41no—
1387SD16—41no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—41no—
1391D8—1222no—
1392D8—1222no—
1393D8—2441no—
1394M16—2441no—
1395M16—2441no—
1396M16—2441no—
1397M16—2441no—
1398C2×C8—611no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—2441no—
1403C2×C8—2441no—
1404C2×C8C23×D6111yescharacteristic
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C2×C8C23×D6111yescharacteristic
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—21no—
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—611no—
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⋊C4D4×D6111yescharacteristic
1449C4⋊C4D4×D6111yescharacteristic
1450C4⋊C4D4×D6111yescharacteristic
1451C4⋊C4C23×D6111yescharacteristic
1452C4⋊C4C23×D6111yescharacteristic
1453C4⋊C4C23×D6111yescharacteristic
1454C4⋊C4C23×D6111yescharacteristic
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—611no—
1464C22⋊C4—611no—
1465C22⋊C4—611no—
1466C22⋊C4—611no—
1467C22⋊C4—611no—
1468C22⋊C4—611no—
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⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C42—21no—
1496C42—21no—
1497C42—611no—
1498C42—611no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42C23×D6111yescharacteristic
1513C42C23×D6111yescharacteristic
1514C42C23×D6111yescharacteristic
1515C23—21no—
1516C23—21no—
1517C23—611no—
1518C23—611no—
1519C23—611no—
1520C23—1221no—
1521C23—1221no—
1522C23—4881no—
1523C23—2442no—
1524C23—2442no—
1525Q8—21no—
1526Q8—21no—
1527Q8—21no—
1528Q8—21no—
1529Q8—41no—
1530Q8—81no—
1531Q8—4881no—
1532Q8—4881no—
1533Q8—2442no—
1534Q8—2442no—
1535Q8—2442no—
1536D4—21no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—612no—
1541D4—1221no—
1542D4—1221no—
1543D4—1221no—
1544D4—4881no—
1545D4—4881no—
1546D4—4881no—
1547D4—4881no—
1548D4—4881no—
1549D4—4881no—
1550D4—2441no—
1551D4—2441no—
1552D4—2441no—
1553D4—2442no—
1554D4—2442no—
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—42no—
1567C2×C4—42no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—611no—
1571C2×C4—611no—
1572C2×C4—611no—
1573C2×C4—611no—
1574C2×C4—611no—
1575C2×C4—1222no—
1576C2×C4—1222no—
1577C2×C4—1222no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—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—2441no—
1599C2×C4—2442no—
1600C2×C4—2442no—
1601C2×C4—2442no—
1602C2×C4—2442no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4C2×D4×D6111yescharacteristic
1607C2×C4C2×D4×D6111yescharacteristic
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C24×D6111yescharacteristic
1613C8—21no—
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—1221no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—1221no—
1628C22—1221no—
1629C22—1221no—
1630C22—1222no—
1631C22—1221no—
1632C22—1221no—
1633C22—1221no—
1634C22—1221no—
1635C22—1221no—
1636C22—1221no—
1637C22—4884no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22C22×D4×D6111yescharacteristic
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—612no—
1657C4—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—2441no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C42−1+4×D6111yescharacteristic
1668C4#1684059811yescharacteristic
1669C2—81no—
1670C2—81no—
1671C2—4881no—
1672C2—2441no—
1673C2—2441no—
1674C2—2441no—
1675C2—2442no—
1676C2#2145949811yescharacteristic
1677C2#575×D6111yescharacteristic
1678C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3376C2
socleC22×C61C23×D4
hypercenter#3376D61
hypocenterC61#62115
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3376

Complements

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

NH ≅ G/Ntype
1. #21459727C2semidirect
2. #21459380C2semidirect
3. #21458779C2semidirect
4. #21458773C2semidirect
5. #21458640C2semidirect
6. #21458384C2semidirect
7. #21458376C2semidirect
8. #21458341C2semidirect
9. #21458339C2semidirect
10. #21458324C2semidirect
11. #21458316C2semidirect
12. #21458027C2semidirect
13. #21458019C2semidirect
14. #21457982C2semidirect
15. #21457974C2semidirect
16. #21457802C2semidirect
17. #21457794C2semidirect
18. #21457203C2semidirect
19. #21457178C2semidirect
20. #21457142C2semidirect
21. #21457036C2semidirect
22. #21457028C2semidirect
23. #21456993C2semidirect
24. #21455968C2semidirect
25. #21455908C2semidirect
26. #21455877C2semidirect
27. #21455629C2semidirect
28. #21455614C2semidirect
29. #21455606C2semidirect
30. #21454935C2semidirect
31. C61×#3376C2semidirect
37. #16840472C22semidirect
39. #16840465C22semidirect
41. #16840462C22semidirect
58. #16840318C22semidirect
61. #16840309C22semidirect
62. #16840309C22semidirect
63. C4⋊Q8×D61C22semidirect
75. #16840172C22semidirect
76. #16840171C22semidirect
77. #16840171C22semidirect
78. #16840168C22semidirect
79. #16840164C22semidirect
80. #16840161C22semidirect
81. #16840130C22semidirect
86. #16840102C22semidirect
89. #16840101C22semidirect
90. #16840091C22semidirect
91. #16840091C22semidirect
92. #16840089C22semidirect
93. #16840088C22semidirect
95. #16840085C22semidirect
97. #16840084C22semidirect
102. #16840069C22semidirect
105. #16840063C22semidirect
106. #16840063C22semidirect
108. #16840062C22semidirect
109. #16840062C22semidirect
112. #16840055C22semidirect
113. #16840055C22semidirect
114. #16840055C22semidirect
115. #16840055C22semidirect
120. #16840047C22semidirect
121. #16840045C22semidirect
122. #16840045C22semidirect
124. #16840043C22semidirect
125. #16840042C22semidirect
133. #16840011C22semidirect
136. #16840005C22semidirect
139. #16839994C22semidirect
140. #16839988C22semidirect
143. #16839964C22semidirect
144. #16839960C22semidirect
145. #16839960C22semidirect
154. #16839893C22semidirect
160. #16839860C22semidirect
161. C4×#11758201C22semidirect
167. #16839835C22semidirect
169. #16839832C22semidirect
171. #16839817C22semidirect
172. #16839813C22semidirect
175. #16839801C22semidirect
176. #16839801C22semidirect
177. #16839799C22semidirect
178. #16839797C22semidirect
180. #16839784C22semidirect
181. C4⋊C8×D61C22semidirect
189. C61×#554C22semidirect
190. C61×#491C22semidirect
193. C61×#479C22semidirect
195. C61×#475C22semidirect
198. C61×#461C22semidirect
199. C61×#446C22semidirect
201. C61×#440C22semidirect
202. C4×SD16×C61C22semidirect
835. #3376D61semidirect
878. #554C2×D61semidirect
923. #491C2×D61semidirect
947. #479C2×D61semidirect
969. #475C2×D61semidirect
993. #461C2×D61semidirect
1005. #446C2×D61semidirect
1013. #440C2×D61semidirect
1015. C4×SD16C2×D61semidirect
1042. C61#62115semidirect

Maximal subgroups

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

subgroupindex
#214597272
#214593802
#214587792
#214587732
#214586402
#214583842
#214583762
#214583412
#214583392
#214583242
#214583162
#214580272
#214580192
#214579822
#214579742
#214578022
#214577942
#214572032
#214571782
#214571422
#214570362
#214570282
#214569932
#214559682
#214559082
#214558772
#214556292
#214556142
#214556062
#214549352
C61×#33762
#6211561