Finite Group Databasebeta

← #30576131

Subgroups — #30576131

Order 15616.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459721C211yesmaximal, characteristic, complemented
2#21459426C211yesmaximal, characteristic, complemented
3#21458780C211yesmaximal, characteristic, complemented
4#21458777C211yesmaximal, characteristic, complemented
5#21458570C211yesmaximal, characteristic, complemented
6#21458568C211yesmaximal, characteristic, complemented
7#21458317C211yesmaximal, characteristic, complemented
8#21458315C211yesmaximal, characteristic, complemented
9#21458302C211yesmaximal, characteristic, complemented
10#21458300C211yesmaximal, characteristic, complemented
11#21458215C211yesmaximal, characteristic, complemented
12#21457981C211yesmaximal, characteristic, complemented
13#21457973C211yesmaximal, characteristic, complemented
14#21457966C211yesmaximal, characteristic, complemented
15#21457958C211yesmaximal, characteristic, complemented
16#21457671C211yesmaximal, characteristic, complemented
17#21457663C211yesmaximal, characteristic, complemented
18#21457180C211yesmaximal, characteristic, complemented
19#21457138C211yesmaximal, characteristic, complemented
20#21457125C211yesmaximal, characteristic, complemented
21#21457047C211yesmaximal, characteristic, complemented
22#21457014C211yesmaximal, characteristic, complemented
23#21456999C211yesmaximal, characteristic, complemented
24#21455965C211yesmaximal, characteristic, complemented
25#21455907C211yesmaximal, characteristic, complemented
26#21455817C211yesmaximal, characteristic, complemented
27#21455614C211yesmaximal, characteristic, complemented
28#21455605C211yesmaximal, characteristic, complemented
29C2×#16840041C211yesmaximal, characteristic, complemented
30#21454942C211yesmaximal, characteristic, complemented
31C61×#3339C211yesmaximal, characteristic, complemented
32#16840495C2211yescharacteristic
33#16840479—21no—
34#16840476C2211yescharacteristic, complemented
35#16840475C2211yescharacteristic, complemented
36#16840471C2211yescharacteristic, complemented
37#16840468C2211yescharacteristic
38#16840468C2211yescharacteristic, complemented
39#16840467C2211yescharacteristic
40#16840464C2211yescharacteristic
41#16840460C2211yescharacteristic
42#16840458C2211yescharacteristic, complemented
43#16840457—21no—
44#16840456C2211yescharacteristic
45#16840441—21no—
46#16840437—21no—
47#16840421—21no—
48#16840418—21no—
49#16840410—21no—
50#16840409C2211yescharacteristic
51#16840408C2211yescharacteristic
52#16840401—21no—
53#16840396C2211yescharacteristic
54#16840380—21no—
55#16840378—21no—
56#16840339—21no—
57#16840318C2211yescharacteristic, complemented
58#16840315C2211yescharacteristic, complemented
59#16840309C2211yescharacteristic, complemented
60#16840307C2211yescharacteristic
61#16840307C2211yescharacteristic, complemented
62#16840307C2211yescharacteristic, complemented
63C2×#14519776C2211yescharacteristic, complemented
64#16840297C2211yescharacteristic
65#16840295—21no—
66#16840293C2211yescharacteristic
67#16840272—21no—
68#16840270—21no—
69#16840241—21no—
70#16840230C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×#14519739C2211yescharacteristic
73C4×D4×D61—21no—
74C4×D4×D61C2211yescharacteristic
75#16840170C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840161C2211yescharacteristic, complemented
80#16840125C2211yescharacteristic
81#16840125C2211yescharacteristic
82#16840120C2211yescharacteristic, complemented
83#16840120C2211yescharacteristic, complemented
84#16840119C2211yescharacteristic, complemented
85#16840117C2211yescharacteristic, complemented
86#16840106C2211yescharacteristic, complemented
87#16840105C2211yescharacteristic, complemented
88#16840098C2211yescharacteristic, complemented
89#16840097C2211yescharacteristic, complemented
90#16840089C2211yescharacteristic
91#16840088C2211yescharacteristic
92#16840087C2211yescharacteristic, complemented
93#16840086C2211yescharacteristic, complemented
94#16840086C2211yescharacteristic, complemented
95#16840083C2211yescharacteristic, complemented
96#16840080C2211yescharacteristic, complemented
97#16840078C2211yescharacteristic
98#16840077C2211yescharacteristic, complemented
99#16840074C2211yescharacteristic, complemented
100#16840072C2211yescharacteristic, complemented
101#16840068C2211yescharacteristic, complemented
102#16840065C2211yescharacteristic
103#16840065C2211yescharacteristic, complemented
104#16840064C2211yescharacteristic, complemented
105#16840063C2211yescharacteristic
106#16840062C2211yescharacteristic, complemented
107#16840061C2211yescharacteristic
108#16840059C2211yescharacteristic
109#16840059C2211yescharacteristic, complemented
110#16840056C2211yescharacteristic, complemented
111#16840051C2211yescharacteristic
112#16840051C2211yescharacteristic, complemented
113#16840050C2211yescharacteristic, complemented
114#16840046C2211yescharacteristic, complemented
115#16840046C2211yescharacteristic, complemented
116#16840041C2211yescharacteristic
117#16840041C2211yescharacteristic
118#16840041C2211yescharacteristic
119#16840041C2211yescharacteristic
120#16840041C2211yescharacteristic, complemented
121#16840041C2211yescharacteristic, complemented
122#16840041C2211yescharacteristic, complemented
123#16840041C2211yescharacteristic, complemented
124#16840041C2211yescharacteristic, complemented
125#16840040C2211yescharacteristic, complemented
126#16840040C2211yescharacteristic, complemented
127#16840040C2211yescharacteristic, complemented
128#16840016C2211yescharacteristic
129#16840014C2211yescharacteristic
130#16840009C2211yescharacteristic, complemented
131#16840007C2211yescharacteristic, complemented
132#16839998C2211yescharacteristic, complemented
133#16839996C2211yescharacteristic
134#16839996C2211yescharacteristic, complemented
135#16839996C2211yescharacteristic, complemented
136#16839991C2211yescharacteristic, complemented
137#16839989C2211yescharacteristic, complemented
138#16839978C2211yescharacteristic, complemented
139#16839977C2211yescharacteristic, complemented
140#16839976C2211yescharacteristic, complemented
141#16839975C2211yescharacteristic, complemented
142#16839961C2211yescharacteristic, complemented
143#16839956C2211yescharacteristic
144#16839956C2211yescharacteristic
145#16839956C2211yescharacteristic, complemented
146#16839955C2211yescharacteristic
147#16839955C2211yescharacteristic, complemented
148#16839909C2211yescharacteristic
149#16839905C2211yescharacteristic
150#16839898C2211yescharacteristic
151#16839897C2211yescharacteristic
152#16839895C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839892C2211yescharacteristic, complemented
155#16839889C2211yescharacteristic, complemented
156#16839873C2211yescharacteristic
157#16839873C2211yescharacteristic
158#16839873C2211yescharacteristic, complemented
159#16839871C2211yescharacteristic
160#16839871C2211yescharacteristic
161#16839871C2211yescharacteristic, complemented
162#16839861C2211yescharacteristic, complemented
163#16839859C2211yescharacteristic, complemented
164C4×D488C2211yescharacteristic
165C4×#11758199C2211yescharacteristic
166C4×#11758199C2211yescharacteristic, complemented
167#16839833C2211yescharacteristic
168#16839833C2211yescharacteristic, complemented
169#16839830C2211yescharacteristic
170#16839830C2211yescharacteristic, complemented
171D4×#92418C2211yescharacteristic, complemented
172#16839816C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839813C2211yescharacteristic, complemented
175#16839803C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic, complemented
177#16839798C2211yescharacteristic, complemented
178C2×#14519710C2211yescharacteristic, complemented
179#16839784C2211yescharacteristic, complemented
180C2×#14519706C2211yescharacteristic, complemented
181C2×#14519706C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839759C2211yescharacteristic
185#16839756C2211yescharacteristic
186C2×#14519699C2211yescharacteristic
187C2×#14519697C2211yescharacteristic
188C61×#553C2211yescharacteristic
189C61×#553C2211yescharacteristic, complemented
190C61×#499C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#481C2211yescharacteristic
194C61×#481C2211yescharacteristic, complemented
195C61×#478C2211yescharacteristic, complemented
196C61×#478C2211yescharacteristic, complemented
197C61×#466C2211yescharacteristic
198C61×#466C2211yescharacteristic, complemented
199C4×D8×C61C2211yescharacteristic, complemented
200C8×D4×C61C2211yescharacteristic, complemented
201C61×#427C2211yescharacteristic, complemented
202C2×#107×C61C2211yescharacteristic, complemented
203C2×#11758222—21no—
204C2×#11758222C2311yescharacteristic
205C2×#11758224—21no—
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224D411yescharacteristic
209C22×Dic122—21no—
210C22×D244C2311yescharacteristic
211C2×D4×D61—21no—
212C2×D4×D61C2311yescharacteristic
213C22×C4×D61—21no—
214C22×C4×D61—21no—
215C2×#11758190C2311yescharacteristic
216C2×#11758200C2311yescharacteristic
217C2×D488C2311yescharacteristic
218C2×D488C2311yescharacteristic
219C2×#11758199C2311yescharacteristic
220C2×#11758199C2311yescharacteristic
221C2×#11758199C2311yescharacteristic
222C2×#11758189C2311yescharacteristic
223C2×#11758189C2311yescharacteristic
224C22×#92418C2311yescharacteristic
225C22×#92418C2311yescharacteristic
226#14519776—21no—
227#14519776—21no—
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519776C2311yescharacteristic
233#14519776C2311yescharacteristic
234#14519773C2311yescharacteristic
235#14519773C2311yescharacteristic
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519771—21no—
240#14519770—21no—
241#14519770—21no—
242#14519769C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519767—21no—
247#14519765—21no—
248#14519765C2311yescharacteristic
249#14519764—21no—
250#14519764C2311yescharacteristic
251#14519763—21no—
252#14519763—21no—
253#14519763—21no—
254#14519763—21no—
255#14519763—21no—
256#14519763—21no—
257#14519763—21no—
258#14519762—21no—
259#14519762—21no—
260#14519762—21no—
261#14519761—21no—
262#14519760—21no—
263#14519759—21no—
264#14519759—21no—
265#14519759—21no—
266#14519759—21no—
267#14519758—21no—
268#14519757—21no—
269#14519757—21no—
270#14519757C2311yescharacteristic
271#14519756—21no—
272#14519756—21no—
273#14519756C2311yescharacteristic
274#14519755—21no—
275#14519755—21no—
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#14519752C2311yescharacteristic
286#14519752C2311yescharacteristic
287#14519751—21no—
288#14519751C2311yescharacteristic
289#14519751C2311yescharacteristic
290#14519751C2311yescharacteristic
291#14519750—21no—
292#14519750—21no—
293#14519750—21no—
294#14519750—21no—
295#14519750—21no—
296#14519749—21no—
297#14519749—21no—
298#14519749—21no—
299#14519749—21no—
300#14519749—21no—
301#14519749—21no—
302#14519748—21no—
303#14519748C2311yescharacteristic
304#14519747—21no—
305#14519745—21no—
306#14519745—21no—
307#14519745—21no—
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122C2311yescharacteristic
311#14519742—21no—
312#14519742—21no—
313#14519742D411yescharacteristic
314#14519742C2311yescharacteristic
315#14519742C2311yescharacteristic
316C4×D244—21no—
317C4×D244C2311yescharacteristic
318C4×D244C2311yescharacteristic
319D4×Dic61—21no—
320D4×Dic61—21no—
321D4×Dic61D411yescharacteristic
322D4×Dic61C2311yescharacteristic
323D4×Dic61C2311yescharacteristic
324D4×Dic61C2311yescharacteristic
325#14519739—21no—
326#14519739—21no—
327#14519739—21no—
328#14519739C2311yescharacteristic
329#14519739C2311yescharacteristic
330#14519739C2311yescharacteristic
331#14519739C2311yescharacteristic
332#14519739C2311yescharacteristic
333#14519739C2311yescharacteristic
334#14519739C2311yescharacteristic
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
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#14519737—21no—
349#14519737D411yescharacteristic
350#14519737D411yescharacteristic
351#14519736C2311yescharacteristic
352#14519735—21no—
353#14519735D411yescharacteristic
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519734—21no—
357#14519734—21no—
358#14519733—21no—
359#14519733—21no—
360#14519733D411yescharacteristic
361#14519733D411yescharacteristic
362C2×C4⋊Dic61C2311yescharacteristic
363C2×#11758196—21no—
364C2×#11758196—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61C2311yescharacteristic
368C2×#11758198—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C22⋊C4×D61—21no—
372C2×C4×Dic61C2311yescharacteristic
373C2×C4×Dic61C2311yescharacteristic
374C42×D61—21no—
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
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#14519700C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519698C2311yescharacteristic
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#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433#14519687C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C2×D8×C61C2311yescharacteristic
436C22×C8×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438#126×C61—21no—
439#126×C61—21no—
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442#123×C61—21no—
443#123×C61—21no—
444#121×C61—21no—
445#121×C61—21no—
446#121×C61C2311yescharacteristic
447#121×C61C2311yescharacteristic
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450C4×D4×C61—21no—
451C4×D4×C61—21no—
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455#117×C61C2311yescharacteristic
456#117×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480C2×D4×C61—21no—
481C2×D4×C61—21no—
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61C2×D411yescharacteristic
485C2×D4×C61C2411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61C2411yescharacteristic
492C22×C4×C61C2411yescharacteristic
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61C2×D411yescharacteristic
504C2×C22⋊D61C2×D411yescharacteristic
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61C2×D411yescharacteristic
510C22×Dic61C2×D411yescharacteristic
511C22×Dic61C2×D411yescharacteristic
512C22×Dic61C2×D411yescharacteristic
513#11758224—42no—
514#11758224—44no—
515#11758224—82no—
516#11758224—82no—
517D4×D61—22no—
518D4×D61—41no—
519D4×D61—44no—
520#11758222—22no—
521#11758222—41no—
522#11758222—82no—
523C2×D244—22no—
524C2×D244—21no—
525C2×D244—21no—
526C2×D244—21no—
527C2×D244—41no—
528C2×D244C2411yescharacteristic
529C2×D244C2411yescharacteristic
530C2×D244C2411yescharacteristic
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61—21no—
542C2×C4×D61—82no—
543C2×C4×D61—82no—
544C2×C4×D61C2×D411yescharacteristic
545C2×C4×D61C2×D411yescharacteristic
546C2×C4×D61C2411yescharacteristic
547C2×Dic122—21no—
548C2×Dic122—21no—
549C2×Dic122—21no—
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122—21no—
553C2×Dic122—82no—
554C2×Dic122C2×D411yescharacteristic
555C2×Dic122C2411yescharacteristic
556D8×C61—41no—
557C2×C8×C61—41no—
558C2×C8×C61—41no—
559C2×C8×C61C2411yescharacteristic
560C2×C8×C61C2411yescharacteristic
561C2×C8×C61C2411yescharacteristic
562C2×C8×C61C2411yescharacteristic
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61C2×D411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C4⋊C4×C61C2411yescharacteristic
573C4⋊C4×C61C2411yescharacteristic
574C4⋊C4×C61C2411yescharacteristic
575C4⋊C4×C61C2411yescharacteristic
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61C2×D411yescharacteristic
585C22⋊C4×C61C2×D411yescharacteristic
586C42×C61—21no—
587C42×C61—21no—
588C42×C61C2411yescharacteristic
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61C2×D411yescharacteristic
598C22⋊Dic61C2×D411yescharacteristic
599#11758200—41no—
600#11758199—22no—
601#11758199—41no—
602#11758199—41no—
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#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198C2×D411yescharacteristic
623#11758198C2×D411yescharacteristic
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61C2×D411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632C4⋊Dic61C2411yescharacteristic
633C4⋊Dic61C2411yescharacteristic
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—
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2×D411yescharacteristic
664C4×Dic61C2411yescharacteristic
665C4×Dic61C2411yescharacteristic
666C4×Dic61C2411yescharacteristic
667C2×#92418—41no—
668C2×#92418—41no—
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672C2×#92418C2411yescharacteristic
673D488—22no—
674D488—41no—
675#11758190—41no—
676#11758189—41no—
677#11758189—41no—
678C23×C61—21no—
679C23×C61—21no—
680C23×C61C22×D411yescharacteristic
681C23×C61C22×D411yescharacteristic
682C22×D61—21no—
683C22×D61—21no—
684C22×D61—21no—
685C22×D61—42no—
686C22×D61—42no—
687C22×D61—42no—
688C22×D61—42no—
689C22×D61—81no—
690C22×D61—81no—
691C22×D61C22×D411yescharacteristic
692D4×C61—22no—
693D4×C61—21no—
694D4×C61—21no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—42no—
698D4×C61—42no—
699D4×C61—81no—
700D4×C61—81no—
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—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—81no—
712C2×C4×C61—81no—
713C2×C4×C61—81no—
714C2×C4×C61—81no—
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C22×D411yescharacteristic
718C2×C4×C61C22×D411yescharacteristic
719C2×C4×C61C2511yescharacteristic
720C22⋊D61—22no—
721C22⋊D61—41no—
722C22⋊D61—42no—
723C22⋊D61—42no—
724C22⋊D61—42no—
725C22⋊D61—42no—
726C22⋊D61—42no—
727C22⋊D61—42no—
728C22⋊D61—81no—
729C22⋊D61—81no—
730C22⋊D61—81no—
731C22⋊D61—81no—
732C2×Dic61—22no—
733C2×Dic61—22no—
734C2×Dic61—22no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—41no—
741C2×Dic61—42no—
742C2×Dic61—42no—
743C2×Dic61—81no—
744C2×Dic61—81no—
745C2×Dic61C22×D411yescharacteristic
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752D244—21no—
753D244—21no—
754D244—21no—
755D244—21no—
756D244—21no—
757D244—42no—
758D244—42no—
759D244—81no—
760D2442−1+412yes—
761C4×D61—21no—
762C4×D61—21no—
763C4×D61—22no—
764C4×D61—41no—
765C4×D61—42no—
766C4×D61—42no—
767C4×D61—42no—
768C4×D61—42no—
769C4×D61—42no—
770C4×D61—81no—
771C4×D61—81no—
772C4×D61—81no—
773C4×D61—81no—
774C4×D61—81no—
775C4×D61—81no—
776Dic122—21no—
777Dic122—21no—
778Dic122—41no—
779Dic122—42no—
780Dic122—42no—
781Dic122—42no—
782Dic122—81no—
783Dic122—81no—
784Dic122—81no—
785C8×C61—21no—
786C8×C61—21no—
787C8×C61—21no—
788C8×C61—21no—
789#92418—21no—
790#92418—21no—
791#92418—21no—
792#92418—21no—
793#62125—611nomaximal, Sylow
794C22×C61—21no—
795C22×C61—21no—
796C22×C61—21no—
797C22×C61—21no—
798C22×C61—21no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61#57512yes—
806C22×C61C23×D411yescharacteristic
807C2×D61—21no—
808C2×D61—22no—
809C2×D61—21no—
810C2×D61—21no—
811C2×D61—41no—
812C2×D61—41no—
813C2×D61—41no—
814C2×D61—41no—
815C2×D61—41no—
816C2×D61—41no—
817C2×D61—41no—
818C2×D61—41no—
819C2×D61—84no—
820C2×D61—84no—
821C4×C61—21no—
822C4×C61—21no—
823C4×C61—21no—
824C4×C61—21no—
825C4×C61—41no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61C2×2−1+411yescharacteristic
832C4×C61#58511yescharacteristic
833Dic61—21no—
834Dic61—21no—
835Dic61—21no—
836Dic61—21no—
837Dic61—21no—
838Dic61—21no—
839Dic61—41no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61#57612yes—
845#3511—611no—
846#3481—611no—
847#3389—611no—
848#3389—611no—
849#3370—611no—
850#3370—611no—
851#3347—611no—
852#3347—611no—
853#3346—611no—
854#3346—611no—
855#3339—611no—
856#3339D6111yescharacteristic, complemented
857#3319—611no—
858#3319—611no—
859#3318—611no—
860#3318—611no—
861#3297—611no—
862#3297—611no—
863#3251—611no—
864#3247—611no—
865#3245—611no—
866#3239—611no—
867#3235—611no—
868#3233—611no—
869#3115—611no—
870#3109—611no—
871#3100—611no—
872#3077—611no—
873#3076—611no—
874C2×#474—611no—
875#2990—611no—
876C2×C61—22no—
877C2×C61—41no—
878C2×C61—81no—
879C2×C61—81no—
880C2×C61#348911yescharacteristic
881C2×C61C2×#57511yescharacteristic
882C2×C61C2×#57611yescharacteristic
883D61—41no—
884D61—42no—
885D61—81no—
886D61—81no—
887#559—611no—
888#556—1221no—
889#555—611no—
890#555—611no—
891#554—611no—
892#554—611no—
893#554—611no—
894#554—611no—
895#553—611no—
896#553—611no—
897#553—611no—
898#553—611no—
899#553—1221no—
900#553C2×D6111yescharacteristic
901#553C2×D6111yescharacteristic, complemented
902#551—1221no—
903#551—1221no—
904#548—1221no—
905#548—1221no—
906#547—1221no—
907#546—611no—
908#546—611no—
909#546—1221no—
910D42—611no—
911#542—1221no—
912#542—1221no—
913#537—1221no—
914#533—611no—
915#533—611no—
916#532—611no—
917#532—611no—
918#532—611no—
919#532—611no—
920C2×C4⋊Q8—611no—
921#529—611no—
922#529—611no—
923#529—1221no—
924#525—1221no—
925#525—1221no—
926#520—1221no—
927C4×#41—611no—
928C4×#41—611no—
929C2×C4×D4—611no—
930C2×C4×D4—611no—
931C2×C4×D4—1221no—
932#501—611no—
933#501—611no—
934#501—611no—
935#501—611no—
936#499—611no—
937#499C2×D6111yescharacteristic, complemented
938#490—611no—
939#490—611no—
940#489—611no—
941#489—611no—
942#488—611no—
943#488—611no—
944#485—611no—
945#485—611no—
946#484—611no—
947#484—611no—
948#482—611no—
949#482—611no—
950#482—611no—
951#482—611no—
952#482—611no—
953#482—611no—
954#482C2×D6111yescharacteristic, complemented
955#482C2×D6111yescharacteristic, complemented
956#481—611no—
957#481—611no—
958#481C2×D6111yescharacteristic
959#481C2×D6111yescharacteristic, complemented
960#480—611no—
961#480—611no—
962#479—611no—
963#479—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478—611no—
970#478—611no—
971#478—611no—
972#478C2×D6111yescharacteristic, complemented
973#478C2×D6111yescharacteristic, complemented
974#477—611no—
975#476—611no—
976#476—611no—
977#476—611no—
978#475—611no—
979#475—611no—
980#474—611no—
981#474—611no—
982#474—611no—
983#474—611no—
984#474—611no—
985#474—611no—
986#474—611no—
987#474—611no—
988#474—611no—
989#474—611no—
990#474—611no—
991#474—611no—
992#469—611no—
993#469—611no—
994#468—611no—
995#468—611no—
996#466—611no—
997#466—611no—
998#466—611no—
999#466—611no—
1000#466C2×D6111yescharacteristic
1001#466C2×D6111yescharacteristic, complemented
1002#465—611no—
1003#465—611no—
1004#463—611no—
1005#463—611no—
1006#463—611no—
1007#463—611no—
1008#460—611no—
1009#459—611no—
1010#459—611no—
1011#459—611no—
1012#459—611no—
1013#459—611no—
1014#449—611no—
1015#449—611no—
1016#447—611no—
1017#447—611no—
1018#447—611no—
1019#447—611no—
1020#446—611no—
1021#446—611no—
1022#442—611no—
1023#442—611no—
1024#442—611no—
1025#442—611no—
1026#442—611no—
1027#442—611no—
1028#440—611no—
1029#440—611no—
1030C4×D8—611no—
1031C4×D8—611no—
1032C4×D8—611no—
1033C4×D8C2×D6111yescharacteristic, complemented
1034#435—611no—
1035#435—611no—
1036#435—611no—
1037#435—611no—
1038C8×D4—611no—
1039C8×D4C2×D6111yescharacteristic, complemented
1040#432—611no—
1041#432—611no—
1042#431—611no—
1043#428—611no—
1044#428—611no—
1045#427—611no—
1046#427C2×D6111yescharacteristic, complemented
1047C2×#107—611no—
1048C2×#107C2×D6111yescharacteristic, complemented
1049#423—611no—
1050C2×C4⋊C8—611no—
1051C2×C4⋊C8—611no—
1052#418—611no—
1053#418—611no—
1054#416—611no—
1055#416—611no—
1056C2×#102—611no—
1057C2×#102—611no—
1058C61#6212511yescharacteristic, complemented, Sylow
1059C2×#41—611no—
1060C2×#41—611no—
1061C2×#41—1221no—
1062C2×#41—1221no—
1063C2×#41—1221no—
1064C2×#41—1221no—
1065C22×Q8—1221no—
1066C22×D4—611no—
1067C22×D4—611no—
1068C22×D4—1221no—
1069C23×C4—1221no—
1070C23×C4—1221no—
1071C2×SD16—611no—
1072C2×SD16—611no—
1073C2×D8—611no—
1074C2×D8—611no—
1075C2×D8—611no—
1076C2×D8—611no—
1077C2×D8—611no—
1078C2×D8C22×D6111yescharacteristic
1079C2×M16—611no—
1080C2×M16—611no—
1081C22×C8—611no—
1082C22×C8—611no—
1083C22×C8C22×D6111yescharacteristic
1084C22×C8C22×D6111yescharacteristic
1085C4⋊Q8—611no—
1086C4⋊Q8—611no—
1087C4⋊Q8—611no—
1088C4⋊Q8—611no—
1089C4⋊Q8—611no—
1090C4⋊Q8—611no—
1091C4⋊Q8—1221no—
1092C4⋊Q8—1221no—
1093#127—611no—
1094#127—611no—
1095#126—21no—
1096#126—21no—
1097#126—1221no—
1098#126—1221no—
1099#126—1221no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#125—611no—
1104#125—611no—
1105#125—611no—
1106#125—611no—
1107#125—1221no—
1108#125C22×D6111yescharacteristic
1109#125C22×D6111yescharacteristic
1110#124—611no—
1111#124—611no—
1112#124—1221no—
1113#124—1221no—
1114#124—1221no—
1115#124—1221no—
1116#124—1221no—
1117#124—1221no—
1118#124—1221no—
1119#124—1221no—
1120#124—1221no—
1121#123—21no—
1122#123—21no—
1123#123—1221no—
1124#123—1221no—
1125#123—1221no—
1126#123—1221no—
1127#123—1221no—
1128#123—1221no—
1129#123—1221no—
1130#123—1221no—
1131#123—1221no—
1132#123—1221no—
1133C22⋊Q8—611no—
1134C22⋊Q8—611no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149C22⋊Q8—1221no—
1150#121—21no—
1151#121—21no—
1152#121—611no—
1153#121—611no—
1154#121—611no—
1155#121—611no—
1156#121—611no—
1157#121—611no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121—1221no—
1167#121—1221no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121C22×D6111yescharacteristic
1172#121C22×D6111yescharacteristic
1173#121C22×D6111yescharacteristic
1174#121C22×D6111yescharacteristic
1175#120—1221no—
1176#120—1221no—
1177#120—1221no—
1178#120—1221no—
1179C4×Q8—611no—
1180C4×Q8—611no—
1181C4×Q8—611no—
1182C4×Q8—611no—
1183C4×Q8—1221no—
1184C4×Q8—1221no—
1185C4×Q8—1221no—
1186C4×Q8—1221no—
1187C4×D4—21no—
1188C4×D4—21no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—611no—
1194C4×D4—611no—
1195C4×D4—611no—
1196C4×D4—611no—
1197C4×D4—611no—
1198C4×D4—611no—
1199C4×D4—611no—
1200C4×D4—611no—
1201C4×D4—611no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—611no—
1205C4×D4—611no—
1206C4×D4—1221no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4C22×D6111yescharacteristic
1225C4×D4C22×D6111yescharacteristic
1226C4×D4C22×D6111yescharacteristic
1227#117—611no—
1228#117—611no—
1229#117—611no—
1230#117—611no—
1231#117—611no—
1232#117—611no—
1233#117—1221no—
1234#117—1221no—
1235#117—1221no—
1236#117—1221no—
1237#117—1221no—
1238#117C22×D6111yescharacteristic
1239#117C22×D6111yescharacteristic
1240C2×C4⋊C4—611no—
1241C2×C4⋊C4—611no—
1242C2×C4⋊C4—1221no—
1243C2×C4⋊C4—1221no—
1244C2×C4⋊C4—1221no—
1245C2×C4⋊C4—1221no—
1246C2×C4⋊C4C22×D6111yescharacteristic
1247C2×C4⋊C4C22×D6111yescharacteristic
1248C2×C22⋊C4—1221no—
1249C2×C22⋊C4—1221no—
1250C2×C22⋊C4—1221no—
1251C2×C22⋊C4—1221no—
1252C2×C42—611no—
1253C2×C42—611no—
1254C2×C42—611no—
1255C2×C42—1221no—
1256#107—611no—
1257#107—611no—
1258#107—611no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107—611no—
1264#107—611no—
1265#107C22×D6111yescharacteristic
1266#107C22×D6111yescharacteristic
1267#107C22×D6111yescharacteristic
1268#107C22×D6111yescharacteristic
1269#107C22×D6111yescharacteristic
1270#106—611no—
1271#106—611no—
1272#106—611no—
1273#106—611no—
1274#106—611no—
1275#106—611no—
1276#106C22×D6111yescharacteristic
1277#106C22×D6111yescharacteristic
1278#106C22×D6111yescharacteristic
1279#106C22×D6111yescharacteristic
1280C4⋊C8—611no—
1281C4⋊C8—611no—
1282C4⋊C8—611no—
1283C4⋊C8—611no—
1284C4⋊C8—611no—
1285C4⋊C8—611no—
1286C4⋊C8—611no—
1287C4⋊C8—611no—
1288C4⋊C8—611no—
1289C4⋊C8C22×D6111yescharacteristic
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103—611no—
1295#103—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#102—611no—
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102—611no—
1312#102—611no—
1313#102—611no—
1314#102—611no—
1315#102—611no—
1316#102C22×D6111yescharacteristic
1317#102C22×D6111yescharacteristic
1318#102C22×D6111yescharacteristic
1319#102C22×D6111yescharacteristic
1320#102C22×D6111yescharacteristic
1321#102C22×D6111yescharacteristic
1322C22⋊C8—611no—
1323C22⋊C8—611no—
1324C22⋊C8—611no—
1325C22⋊C8—611no—
1326C22⋊C8C22×D6111yescharacteristic
1327C22⋊C8C22×D6111yescharacteristic
1328#97—611no—
1329#97—611no—
1330#97—611no—
1331#97—611no—
1332C4×C8—611no—
1333C4×C8C22×D6111yescharacteristic
1334C24—1221no—
1335C24—1221no—
1336#41—1222no—
1337#41—4882no—
1338#41—4882no—
1339#41—4882no—
1340#41—2441no—
1341#41—2442no—
1342#41—2444no—
1343C2×Q8—611no—
1344C2×Q8—611no—
1345C2×Q8—1221no—
1346C2×Q8—1221no—
1347C2×Q8—1221no—
1348C2×Q8—1221no—
1349C2×Q8—1221no—
1350C2×Q8—1221no—
1351C2×Q8—4882no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—611no—
1357C2×D4—611no—
1358C2×D4—611no—
1359C2×D4—611no—
1360C2×D4—611no—
1361C2×D4—1222no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4—1221no—
1368C2×D4—1221no—
1369C2×D4—1222no—
1370C2×D4—1221no—
1371C2×D4—1221no—
1372C2×D4—1221no—
1373C2×D4—1221no—
1374C2×D4—1221no—
1375C2×D4—1221no—
1376C2×D4—2441no—
1377C2×D4—2441no—
1378C2×D4—2444no—
1379C2×D4D4×D6111yescharacteristic
1380C2×D4C23×D6111yescharacteristic
1381C2×D4C23×D6111yescharacteristic
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—611no—
1387C22×C4—611no—
1388C22×C4—611no—
1389C22×C4—611no—
1390C22×C4—611no—
1391C22×C4—611no—
1392C22×C4—611no—
1393C22×C4—1221no—
1394C22×C4—1221no—
1395C22×C4—1221no—
1396C22×C4—1221no—
1397C22×C4—1221no—
1398C22×C4—1221no—
1399C22×C4—1221no—
1400C22×C4—1221no—
1401C22×C4—1221no—
1402C22×C4—1221no—
1403C22×C4—1221no—
1404C22×C4—1221no—
1405C22×C4—1221no—
1406C22×C4—1221no—
1407C22×C4—1221no—
1408C22×C4—4882no—
1409C22×C4—4882no—
1410C22×C4C23×D6111yescharacteristic
1411C22×C4C23×D6111yescharacteristic
1412SD16—2441no—
1413SD16—2441no—
1414D8—41no—
1415D8—1222no—
1416D8—1222no—
1417D8—2441no—
1418D8—2441no—
1419D8—2441no—
1420M16—2441no—
1421M16—2441no—
1422C2×C8—41no—
1423C2×C8—41no—
1424C2×C8—611no—
1425C2×C8—611no—
1426C2×C8—611no—
1427C2×C8—611no—
1428C2×C8—2441no—
1429C2×C8—2441no—
1430C2×C8C23×D6111yescharacteristic
1431C2×C8C23×D6111yescharacteristic
1432C2×C8C23×D6111yescharacteristic
1433C2×C8C23×D6111yescharacteristic
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—611no—
1441C4⋊C4—611no—
1442C4⋊C4—611no—
1443C4⋊C4—611no—
1444C4⋊C4—611no—
1445C4⋊C4—611no—
1446C4⋊C4—611no—
1447C4⋊C4—611no—
1448C4⋊C4—611no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4D4×D6111yescharacteristic
1470C4⋊C4C23×D6111yescharacteristic
1471C4⋊C4C23×D6111yescharacteristic
1472C4⋊C4C23×D6111yescharacteristic
1473C4⋊C4C23×D6111yescharacteristic
1474C4⋊C4C23×D6111yescharacteristic
1475C4⋊C4C23×D6111yescharacteristic
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—611no—
1485C22⋊C4—611no—
1486C22⋊C4—611no—
1487C22⋊C4—611no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4—1221no—
1513C22⋊C4—1221no—
1514C22⋊C4—1221no—
1515C22⋊C4D4×D6111yescharacteristic
1516C22⋊C4D4×D6111yescharacteristic
1517C42—21no—
1518C42—21no—
1519C42—611no—
1520C42—611no—
1521C42—611no—
1522C42—611no—
1523C42—611no—
1524C42—611no—
1525C42—611no—
1526C42—611no—
1527C42—611no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42C23×D6111yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—611no—
1537C23—1221no—
1538C23—1221no—
1539C23—1221no—
1540C23—4881no—
1541C23—4881no—
1542C23—2442no—
1543C23—2442no—
1544C23—2442no—
1545C23—2442no—
1546C23C2×D4×D6111yescharacteristic
1547C23C2×D4×D6111yescharacteristic
1548Q8—1221no—
1549Q8—1221no—
1550Q8—4881no—
1551Q8—4881no—
1552Q8—4881no—
1553Q8—2441no—
1554Q8—2442no—
1555Q8—2442no—
1556Q8—2442no—
1557D4—22no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—42no—
1563D4—42no—
1564D4—81no—
1565D4—81no—
1566D4—612no—
1567D4—1222no—
1568D4—1221no—
1569D4—1221no—
1570D4—1221no—
1571D4—1221no—
1572D4—1221no—
1573D4—4881no—
1574D4—4881no—
1575D4—4881no—
1576D4—4881no—
1577D4—4881no—
1578D4—2442no—
1579D4—2442no—
1580D4—2442no—
1581D4—2441no—
1582D4—2442no—
1583D4—2442no—
1584D4—2442no—
1585D4—2442no—
1586D4—2442no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—81no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—611no—
1602C2×C4—611no—
1603C2×C4—611no—
1604C2×C4—611no—
1605C2×C4—611no—
1606C2×C4—611no—
1607C2×C4—611no—
1608C2×C4—1222no—
1609C2×C4—1222no—
1610C2×C4—1222no—
1611C2×C4—1222no—
1612C2×C4—1221no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—1221no—
1619C2×C4—4881no—
1620C2×C4—4881no—
1621C2×C4—4881no—
1622C2×C4—4881no—
1623C2×C4—4881no—
1624C2×C4—4881no—
1625C2×C4—4881no—
1626C2×C4—4881no—
1627C2×C4—2441no—
1628C2×C4—2442no—
1629C2×C4—2442no—
1630C2×C4—2442no—
1631C2×C4—2442no—
1632C2×C4—2442no—
1633C2×C4—2442no—
1634C2×C4—2441no—
1635C2×C4—2442no—
1636C2×C4C2×D4×D6111yescharacteristic
1637C2×C4C2×D4×D6111yescharacteristic
1638C2×C4C2×D4×D6111yescharacteristic
1639C2×C4C2×D4×D6111yescharacteristic
1640C2×C4C24×D6111yescharacteristic
1641C8—21no—
1642C8—21no—
1643C8—21no—
1644C8—21no—
1645C8—1221no—
1646C8—1221no—
1647C8—1221no—
1648C8—1221no—
1649C22—21no—
1650C22—21no—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—1221no—
1661C22—1222no—
1662C22—1221no—
1663C22—1221no—
1664C22—4884no—
1665C22—4884no—
1666C22—2441no—
1667C22—2441no—
1668C22—2441no—
1669C22—2441no—
1670C22—2441no—
1671C22—2441no—
1672C22—2441no—
1673C22—2441no—
1674C22#1684055912yes—
1675C22C22×D4×D6111yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—612no—
1687C4—1221no—
1688C4—1221no—
1689C4—1221no—
1690C4—1221no—
1691C4—1221no—
1692C4—1221no—
1693C4—2441no—
1694C4—2441no—
1695C4—2441no—
1696C4—2441no—
1697C4—2441no—
1698C42−1+4×D6111yescharacteristic
1699C4#1684059811yescharacteristic
1700C2—22no—
1701C2—41no—
1702C2—81no—
1703C2—81no—
1704C2—4881no—
1705C2—4881no—
1706C2—2441no—
1707C2—2442no—
1708C2#2145949311yescharacteristic
1709C2C2×#1684055911yescharacteristic
1710C2#576×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3339C2
socleC22×C61C23×D4
hypercenter#3339D61
hypocenterC61#62125
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3339

Complements

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

NH ≅ G/Ntype
1. #21459721C2semidirect
2. #21459426C2semidirect
3. #21458780C2semidirect
4. #21458777C2semidirect
5. #21458570C2semidirect
6. #21458568C2semidirect
7. #21458317C2semidirect
8. #21458315C2semidirect
9. #21458302C2semidirect
10. #21458300C2semidirect
11. #21458215C2semidirect
12. #21457981C2semidirect
13. #21457973C2semidirect
14. #21457966C2semidirect
15. #21457958C2semidirect
16. #21457671C2semidirect
17. #21457663C2semidirect
18. #21457180C2semidirect
19. #21457138C2semidirect
20. #21457125C2semidirect
21. #21457047C2semidirect
22. #21457014C2semidirect
23. #21456999C2semidirect
24. #21455965C2semidirect
25. #21455907C2semidirect
26. #21455817C2semidirect
27. #21455614C2semidirect
28. #21455605C2semidirect
29. C2×#16840041C2semidirect
30. #21454942C2semidirect
31. C61×#3339C2semidirect
34. #16840476C22semidirect
35. #16840475C22semidirect
36. #16840471C22semidirect
38. #16840468C22semidirect
42. #16840458C22semidirect
57. #16840318C22semidirect
58. #16840315C22semidirect
59. #16840309C22semidirect
61. #16840307C22semidirect
62. #16840307C22semidirect
63. C2×#14519776C22semidirect
75. #16840170C22semidirect
76. #16840169C22semidirect
77. #16840169C22semidirect
78. #16840169C22semidirect
79. #16840161C22semidirect
82. #16840120C22semidirect
83. #16840120C22semidirect
84. #16840119C22semidirect
85. #16840117C22semidirect
86. #16840106C22semidirect
87. #16840105C22semidirect
88. #16840098C22semidirect
89. #16840097C22semidirect
92. #16840087C22semidirect
93. #16840086C22semidirect
94. #16840086C22semidirect
95. #16840083C22semidirect
96. #16840080C22semidirect
98. #16840077C22semidirect
99. #16840074C22semidirect
100. #16840072C22semidirect
101. #16840068C22semidirect
103. #16840065C22semidirect
104. #16840064C22semidirect
106. #16840062C22semidirect
109. #16840059C22semidirect
110. #16840056C22semidirect
112. #16840051C22semidirect
113. #16840050C22semidirect
114. #16840046C22semidirect
115. #16840046C22semidirect
120. #16840041C22semidirect
121. #16840041C22semidirect
122. #16840041C22semidirect
123. #16840041C22semidirect
124. #16840041C22semidirect
125. #16840040C22semidirect
126. #16840040C22semidirect
127. #16840040C22semidirect
130. #16840009C22semidirect
131. #16840007C22semidirect
132. #16839998C22semidirect
134. #16839996C22semidirect
135. #16839996C22semidirect
136. #16839991C22semidirect
137. #16839989C22semidirect
138. #16839978C22semidirect
139. #16839977C22semidirect
140. #16839976C22semidirect
141. #16839975C22semidirect
142. #16839961C22semidirect
145. #16839956C22semidirect
147. #16839955C22semidirect
154. #16839892C22semidirect
155. #16839889C22semidirect
158. #16839873C22semidirect
161. #16839871C22semidirect
162. #16839861C22semidirect
163. #16839859C22semidirect
166. C4×#11758199C22semidirect
168. #16839833C22semidirect
170. #16839830C22semidirect
171. D4×#92418C22semidirect
172. #16839816C22semidirect
173. #16839816C22semidirect
174. #16839813C22semidirect
175. #16839803C22semidirect
176. #16839801C22semidirect
177. #16839798C22semidirect
178. C2×#14519710C22semidirect
179. #16839784C22semidirect
180. C2×#14519706C22semidirect
181. C2×#14519706C22semidirect
189. C61×#553C22semidirect
190. C61×#499C22semidirect
191. C61×#482C22semidirect
192. C61×#482C22semidirect
194. C61×#481C22semidirect
195. C61×#478C22semidirect
196. C61×#478C22semidirect
198. C61×#466C22semidirect
199. C4×D8×C61C22semidirect
200. C8×D4×C61C22semidirect
201. C61×#427C22semidirect
202. C2×#107×C61C22semidirect
856. #3339D61semidirect
901. #553C2×D61semidirect
937. #499C2×D61semidirect
954. #482C2×D61semidirect
955. #482C2×D61semidirect
959. #481C2×D61semidirect
972. #478C2×D61semidirect
973. #478C2×D61semidirect
1001. #466C2×D61semidirect
1033. C4×D8C2×D61semidirect
1039. C8×D4C2×D61semidirect
1046. #427C2×D61semidirect
1048. C2×#107C2×D61semidirect
1058. C61#62125semidirect

Maximal subgroups

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

subgroupindex
#214597212
#214594262
#214587802
#214587772
#214585702
#214585682
#214583172
#214583152
#214583022
#214583002
#214582152
#214579812
#214579732
#214579662
#214579582
#214576712
#214576632
#214571802
#214571382
#214571252
#214570472
#214570142
#214569992
#214559652
#214559072
#214558172
#214556142
#214556052
C2×#168400412
#214549422
C61×#33392
#6212561