Finite Group Databasebeta

← #30576203

Subgroups — #30576203

Order 15616.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459721C211yesmaximal, characteristic, complemented
2#21459431C211yesmaximal, characteristic, complemented
3#21458759C211yesmaximal, characteristic, complemented
4#21458757C211yesmaximal, characteristic, complemented
5#21458649C211yesmaximal, characteristic, complemented
6#21458647C211yesmaximal, characteristic, complemented
7#21458337C211yesmaximal, characteristic, complemented
8#21458335C211yesmaximal, characteristic, complemented
9#21458289C211yesmaximal, characteristic, complemented
10#21458202C211yesmaximal, characteristic, complemented
11#21458194C211yesmaximal, characteristic, complemented
12#21458008C211yesmaximal, characteristic, complemented
13#21458000C211yesmaximal, characteristic, complemented
14#21457992C211yesmaximal, characteristic, complemented
15#21457984C211yesmaximal, characteristic, complemented
16#21457727C211yesmaximal, characteristic, complemented
17#21457719C211yesmaximal, characteristic, complemented
18#21457174C211yesmaximal, characteristic, complemented
19#21457138C211yesmaximal, characteristic, complemented
20#21457137C211yesmaximal, characteristic, complemented
21#21457047C211yesmaximal, characteristic, complemented
22#21457034C211yesmaximal, characteristic, complemented
23#21456995C211yesmaximal, characteristic, complemented
24#21455966C211yesmaximal, characteristic, complemented
25#21455938C211yesmaximal, characteristic, complemented
26#21455847C211yesmaximal, characteristic, complemented
27#21455623C211yesmaximal, characteristic, complemented
28#21455604C211yesmaximal, characteristic, complemented
29C2×#16840046C211yesmaximal, characteristic, complemented
30#21454939C211yesmaximal, characteristic, complemented
31C61×#3345C211yesmaximal, characteristic, complemented
32#16840487C2211yescharacteristic
33#16840483—21no—
34#16840482C2211yescharacteristic
35#16840479—21no—
36#16840476C2211yescharacteristic
37#16840475C2211yescharacteristic
38#16840471C2211yescharacteristic
39#16840468C2211yescharacteristic
40#16840464C2211yescharacteristic
41#16840460C2211yescharacteristic
42#16840458C2211yescharacteristic
43#16840449—21no—
44#16840449—21no—
45#16840447C2211yescharacteristic
46#16840447C2211yescharacteristic
47D4×Dic122C2211yescharacteristic
48#16840421—21no—
49#16840418—21no—
50#16840418C2211yescharacteristic
51#16840418C2211yescharacteristic
52#16840411—21no—
53#16840410—21no—
54#16840380—21no—
55#16840378—21no—
56#16840339—21no—
57#16840318C2211yescharacteristic
58#16840317C2211yescharacteristic
59#16840315C2211yescharacteristic
60#16840314—21no—
61#16840309C2211yescharacteristic
62#16840307C2211yescharacteristic
63#16840307C2211yescharacteristic
64C2×#14519776C2211yescharacteristic
65#16840293C2211yescharacteristic
66#16840293C2211yescharacteristic
67#16840289—21no—
68#16840289—21no—
69#16840241—21no—
70#41×Dic61—21no—
71C4×#11758224C2211yescharacteristic
72C4×#11758224C2211yescharacteristic
73C2×#14519742C2211yescharacteristic
74C2×#14519742C2211yescharacteristic
75#16840169C2211yescharacteristic
76#16840169C2211yescharacteristic
77#16840168C2211yescharacteristic
78#16840163C2211yescharacteristic
79#16840162C2211yescharacteristic
80#16840132C2211yescharacteristic
81#16840131C2211yescharacteristic
82#16840120C2211yescharacteristic
83#16840120C2211yescharacteristic
84#16840115C2211yescharacteristic
85#16840115C2211yescharacteristic
86#16840106C2211yescharacteristic
87#16840106C2211yescharacteristic
88#16840105C2211yescharacteristic
89#16840105C2211yescharacteristic
90#16840104C2211yescharacteristic
91#16840103C2211yescharacteristic
92#16840098C2211yescharacteristic
93#16840097C2211yescharacteristic
94#16840088C2211yescharacteristic
95#16840084C2211yescharacteristic
96#16840083C2211yescharacteristic
97#16840080C2211yescharacteristic
98#16840078C2211yescharacteristic
99#16840075C2211yescharacteristic
100#16840072C2211yescharacteristic
101#16840072C2211yescharacteristic
102#16840070C2211yescharacteristic
103#16840068C2211yescharacteristic
104#16840068C2211yescharacteristic
105#16840066C2211yescharacteristic
106#16840065C2211yescharacteristic
107#16840064C2211yescharacteristic
108#16840062C2211yescharacteristic
109#16840061C2211yescharacteristic
110#16840060C2211yescharacteristic
111#16840056C2211yescharacteristic
112#16840056C2211yescharacteristic
113#16840056C2211yescharacteristic
114#16840050C2211yescharacteristic
115#16840049C2211yescharacteristic
116#16840046C2211yescharacteristic
117#16840046C2211yescharacteristic
118#16840046C2211yescharacteristic
119#16840046C2211yescharacteristic
120#16840046C2211yescharacteristic
121#16840046C2211yescharacteristic
122#16840046C2211yescharacteristic
123#16840046C2211yescharacteristic
124#16840046C2211yescharacteristic
125#16840046C2211yescharacteristic
126#16840040C2211yescharacteristic
127#16840040C2211yescharacteristic
128#16840013C2211yescharacteristic
129#16840008C2211yescharacteristic
130#16840006C2211yescharacteristic
131#16839996C2211yescharacteristic
132#16839992C2211yescharacteristic
133#16839992C2211yescharacteristic
134#16839991C2211yescharacteristic
135#16839990C2211yescharacteristic
136#16839990C2211yescharacteristic
137#16839989C2211yescharacteristic
138#16839976C2211yescharacteristic
139#16839976C2211yescharacteristic
140#16839975C2211yescharacteristic
141#16839975C2211yescharacteristic
142#16839968C2211yescharacteristic
143#16839967C2211yescharacteristic
144#16839961C2211yescharacteristic
145#16839961C2211yescharacteristic
146#16839961C2211yescharacteristic
147#16839955C2211yescharacteristic
148#16839908C2211yescharacteristic
149#16839904C2211yescharacteristic
150#16839903C2211yescharacteristic
151#16839903C2211yescharacteristic
152#16839900C2211yescharacteristic
153#16839900C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839872C2211yescharacteristic
157#16839864C2211yescharacteristic
158#16839862C2211yescharacteristic
159#16839861C2211yescharacteristic
160#16839861C2211yescharacteristic
161#16839859C2211yescharacteristic
162#16839859C2211yescharacteristic
163#16839853C2211yescharacteristic
164#16839853C2211yescharacteristic
165#16839849C2211yescharacteristic
166#16839849C2211yescharacteristic
167#16839836C2211yescharacteristic
168#16839834C2211yescharacteristic
169#16839831C2211yescharacteristic
170C8×C22⋊D61C2211yescharacteristic
171#16839825C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic
174#16839812C2211yescharacteristic
175#16839802C2211yescharacteristic
176#16839799C2211yescharacteristic
177#16839797C2211yescharacteristic
178C2×#14519708C2211yescharacteristic
179#16839785C2211yescharacteristic
180C2×#14519706C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839772C2211yescharacteristic
183#16839770C2211yescharacteristic
184#16839755C2211yescharacteristic
185#16839755C2211yescharacteristic
186C2×#14519702C2211yescharacteristic
187C2×#14519700C2211yescharacteristic
188C61×#553C2211yescharacteristic
189C61×#547C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#481C2211yescharacteristic
193C61×#481C2211yescharacteristic
194C61×#480C2211yescharacteristic
195C61×#478C2211yescharacteristic
196C61×#476C2211yescharacteristic
197C61×#469C2211yescharacteristic
198C61×#466C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#428C2211yescharacteristic
202C2×#106×C61C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758224—21no—
205C2×#11758224—21no—
206C2×#11758224D411yescharacteristic
207C2×#11758224C2311yescharacteristic
208C22×Dic122—21no—
209C22×Dic122C2311yescharacteristic
210C22×Dic122C2311yescharacteristic
211C2×#11758190C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758200C2311yescharacteristic
217C2×#11758199C2311yescharacteristic
218C2×#11758194C2311yescharacteristic
219C22×#92418C2311yescharacteristic
220C2×C8×D61C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222#14519777C2311yescharacteristic
223#14519776—21no—
224#14519776—21no—
225#14519776—21no—
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519775—21no—
232#14519773C2311yescharacteristic
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519769C2311yescharacteristic
243#14519768—21no—
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519765—21no—
253#14519764—21no—
254#14519764C2311yescharacteristic
255#14519764C2311yescharacteristic
256#14519763—21no—
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519763—21no—
262#14519763—21no—
263#14519762—21no—
264#14519761—21no—
265#14519760—21no—
266#14519760—21no—
267#14519759—21no—
268#14519758—21no—
269#14519758—21no—
270#14519757—21no—
271#14519757C2311yescharacteristic
272#14519757C2311yescharacteristic
273#14519756—21no—
274#14519756—21no—
275#14519756C2311yescharacteristic
276#14519756C2311yescharacteristic
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#14519754—21no—
286#14519754—21no—
287#14519754—21no—
288#14519754—21no—
289#14519753—21no—
290#14519752C2311yescharacteristic
291#14519751—21no—
292#14519751C2311yescharacteristic
293#14519751C2311yescharacteristic
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#14519749—21no—
303#14519748C2311yescharacteristic
304Q8×Dic61—21no—
305Q8×Dic61—21no—
306C4×Dic122—21no—
307C4×Dic122—21no—
308C4×Dic122C2311yescharacteristic
309C4×Dic122C2311yescharacteristic
310#14519742—21no—
311#14519742—21no—
312#14519742—21no—
313#14519742—21no—
314#14519742—21no—
315#14519742—21no—
316#14519742D411yescharacteristic
317#14519742C2311yescharacteristic
318#14519742C2311yescharacteristic
319#14519742C2311yescharacteristic
320#14519742C2311yescharacteristic
321#14519742C2311yescharacteristic
322#14519742C2311yescharacteristic
323#14519742C2311yescharacteristic
324C4×D244C2311yescharacteristic
325D4×Dic61—21no—
326D4×Dic61—21no—
327D4×Dic61—21no—
328D4×Dic61—21no—
329D4×Dic61—21no—
330D4×Dic61—21no—
331D4×Dic61D411yescharacteristic
332D4×Dic61C2311yescharacteristic
333D4×Dic61C2311yescharacteristic
334D4×Dic61C2311yescharacteristic
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#14519736—21no—
349#14519736—21no—
350#14519736—21no—
351#14519736C2311yescharacteristic
352#14519735—21no—
353#14519735D411yescharacteristic
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519734—21no—
358#14519733—21no—
359#14519733—21no—
360#14519733—21no—
361#14519733—21no—
362#14519733D411yescharacteristic
363#14519733D411yescharacteristic
364C2×C4⋊Dic61C2311yescharacteristic
365C2×#11758196—21no—
366C2×#11758196—21no—
367C2×#11758196—21no—
368C2×#11758196—21no—
369C4⋊C4×D61—21no—
370C2×C4×Dic61—21no—
371C2×C4×Dic61—21no—
372C2×C4×Dic61—21no—
373C2×C4×Dic61C2311yescharacteristic
374C2×C4×Dic61C2311yescharacteristic
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
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#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
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×#41×C61—21no—
436C2×D8×C61C2311yescharacteristic
437C2×M16×C61C2311yescharacteristic
438C22×C8×C61C2311yescharacteristic
439C4⋊Q8×C61C2311yescharacteristic
440#126×C61—21no—
441#125×C61C2311yescharacteristic
442#123×C61—21no—
443#123×C61—21no—
444#123×C61—21no—
445C22⋊Q8×C61—21no—
446#121×C61—21no—
447#121×C61C2311yescharacteristic
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451C4×D4×C61—21no—
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455#117×C61C2311yescharacteristic
456C2×C4⋊C4×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×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
477#97×C61C2311yescharacteristic
478#41×C61—44no—
479C2×Q8×C61—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×C61—21no—
492C22×C4×C61C2411yescharacteristic
493C22×C4×C61C2411yescharacteristic
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⋊D61C2×D411yescharacteristic
501C2×C22⋊D61C2×D411yescharacteristic
502C22×Dic61—21no—
503C22×Dic61—21no—
504C22×Dic61—21no—
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—22no—
514#11758224—41no—
515#11758224—42no—
516#11758224—44no—
517#11758224—82no—
518#11758222—82no—
519C2×D244—21no—
520C2×D244C2411yescharacteristic
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61C2×D411yescharacteristic
525C2×C4×D61C2×D411yescharacteristic
526C2×C4×D61C2411yescharacteristic
527C2×Dic122—22no—
528C2×Dic122—22no—
529C2×Dic122—21no—
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—41no—
537C2×Dic122—41no—
538C2×Dic122—82no—
539C2×Dic122C2×D411yescharacteristic
540C2×Dic122C2411yescharacteristic
541C2×Dic122C2411yescharacteristic
542C2×Dic122C2411yescharacteristic
543D8×C61—41no—
544M16×C61—41no—
545C2×C8×C61—41no—
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61C2×D411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61C2×D411yescharacteristic
571C22⋊C4×C61C2×D411yescharacteristic
572C42×C61—21no—
573C42×C61C2411yescharacteristic
574C22⋊Dic61—21no—
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⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61C2×D411yescharacteristic
586C22⋊Dic61C2×D411yescharacteristic
587#11758200—22no—
588#11758200—41no—
589#11758200—41no—
590#11758199—41no—
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⋊Dic61C2×D411yescharacteristic
614C4⋊Dic61C2411yescharacteristic
615C4⋊Dic61C2411yescharacteristic
616C4⋊Dic61C2411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618#11758196—21no—
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#11758196C2×D411yescharacteristic
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643C4×Dic61—21no—
644C4×Dic61—21no—
645C4×Dic61—21no—
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
670#11758190—22no—
671#11758190—41no—
672#11758190—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61C22×D411yescharacteristic
678C23×C61C22×D411yescharacteristic
679C22×D61—21no—
680C22×D61C22×D411yescharacteristic
681Q8×C61—42no—
682D4×C61—22no—
683D4×C61—21no—
684D4×C61—21no—
685D4×C61—21no—
686D4×C61—21no—
687D4×C61—42no—
688D4×C61—42no—
689D4×C61—42no—
690D4×C61—81no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×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—42no—
704C2×C4×C61—81no—
705C2×C4×C61—81no—
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C2511yescharacteristic
711C22⋊D61—22no—
712C22⋊D61—41no—
713C22⋊D61—42no—
714C22⋊D61—42no—
715C22⋊D61—42no—
716C22⋊D61—42no—
717C22⋊D61—81no—
718C22⋊D61—81no—
719C2×Dic61—22no—
720C2×Dic61—21no—
721C2×Dic61—22no—
722C2×Dic61—22no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—41no—
730C2×Dic61—42no—
731C2×Dic61—42no—
732C2×Dic61—42no—
733C2×Dic61—42no—
734C2×Dic61—42no—
735C2×Dic61—81no—
736C2×Dic61—81no—
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740C2×Dic61C22×D411yescharacteristic
741C2×Dic61C22×D411yescharacteristic
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744D244—21no—
745D244—21no—
746D244—81no—
747C4×D61—21no—
748C4×D61—21no—
749C4×D61—22no—
750C4×D61—41no—
751C4×D61—42no—
752C4×D61—81no—
753C4×D61—81no—
754Dic122—21no—
755Dic122—21no—
756Dic122—21no—
757Dic122—21no—
758Dic122—21no—
759Dic122—41no—
760Dic122—42no—
761Dic122—42no—
762Dic122—42no—
763Dic122—42no—
764Dic122—42no—
765Dic122—81no—
766Dic122—81no—
767Dic1222−1+412yes—
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#62129—611nomaximal, Sylow
777C22×C61—21no—
778C22×C61—21no—
779C22×C61—21no—
780C22×C61—21no—
781C22×C61—21no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61#57512yes—
789C22×C61C23×D411yescharacteristic
790C2×D61—21no—
791C2×D61—21no—
792C2×D61—21no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C4×C61—21no—
797C4×C61—21no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—41no—
801C4×C61—41no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61C2×2−1+411yescharacteristic
807C4×C61#58511yescharacteristic
808Dic61—22no—
809Dic61—21no—
810Dic61—21no—
811Dic61—21no—
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—41no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61#57712yes—
822#3511—611no—
823#3482—611no—
824#3388—611no—
825#3388—611no—
826#3376—611no—
827#3376—611no—
828#3348—611no—
829#3348—611no—
830#3345—611no—
831#3345D6111yescharacteristic, complemented
832#3337—611no—
833#3337—611no—
834#3321—611no—
835#3321—611no—
836#3320—611no—
837#3320—611no—
838#3301—611no—
839#3301—611no—
840#3251—611no—
841#3247—611no—
842#3246—611no—
843#3239—611no—
844#3237—611no—
845#3233—611no—
846#3115—611no—
847#3112—611no—
848#3103—611no—
849#3078—611no—
850#3076—611no—
851C2×#475—611no—
852#2990—611no—
853C2×C61—22no—
854C2×C61—41no—
855C2×C61—81no—
856C2×C61—81no—
857C2×C61#348911yescharacteristic
858C2×C61C2×#57511yescharacteristic
859C2×C61C2×#57711yescharacteristic
860D61—41no—
861D61—81no—
862#557—611no—
863#556—611no—
864#556—1221no—
865#556—1221no—
866#555—611no—
867#555—611no—
868#554—611no—
869#554—611no—
870#553—611no—
871#553—611no—
872#553—611no—
873#553C2×D6111yescharacteristic
874#552—611no—
875#552—611no—
876#552—1221no—
877#552—1221no—
878D4×Q8—611no—
879#548—611no—
880#548—611no—
881#548—1221no—
882#548—1221no—
883#547—1221no—
884#547—1221no—
885#547C2×D6111yescharacteristic
886#542—1221no—
887#542—1221no—
888#537—1221no—
889#533—611no—
890#533—611no—
891#533—611no—
892#533—1221no—
893#532—611no—
894#532—611no—
895#532—611no—
896C2×C4⋊Q8—611no—
897#529—611no—
898#529—611no—
899#529—1221no—
900#529—1221no—
901#520—1221no—
902C4×#41—611no—
903C4×#41—611no—
904C4×#41—1221no—
905C2×C4×Q8—611no—
906C2×C4×Q8—611no—
907#501—611no—
908#501—611no—
909#501—611no—
910#501C2×D6111yescharacteristic
911#499—611no—
912#499—611no—
913#491—611no—
914#491—611no—
915#489—611no—
916#489—611no—
917#488—611no—
918#488—611no—
919#485—611no—
920#485—611no—
921#485—611no—
922#485—611no—
923#485—611no—
924#485—611no—
925#484—611no—
926#484—611no—
927#482—611no—
928#482—611no—
929#482—611no—
930#482C2×D6111yescharacteristic
931#481—611no—
932#481—611no—
933#481C2×D6111yescharacteristic
934#481C2×D6111yescharacteristic
935#480—611no—
936#480C2×D6111yescharacteristic
937#479—611no—
938#479—611no—
939#479—611no—
940#479—611no—
941#479—611no—
942#479—611no—
943#478—611no—
944#478—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478C2×D6111yescharacteristic
949#477—611no—
950#477—611no—
951#477—611no—
952#476—611no—
953#476—611no—
954#476C2×D6111yescharacteristic
955#475—611no—
956#475—611no—
957#475—611no—
958#475—611no—
959#475—611no—
960#475—611no—
961#475—611no—
962#475—611no—
963#475—611no—
964#475—611no—
965#474—611no—
966#474—611no—
967#469—611no—
968#469C2×D6111yescharacteristic
969#468—611no—
970#468—611no—
971#466—611no—
972#466C2×D6111yescharacteristic
973#465—611no—
974#465—611no—
975#465—611no—
976#465—611no—
977#465—611no—
978#465—611no—
979#463—611no—
980#463—611no—
981#463—611no—
982#463—611no—
983#461—611no—
984#461—611no—
985#460—611no—
986#460—611no—
987#460—611no—
988#459—611no—
989#449—611no—
990#449—611no—
991#448—611no—
992#448—611no—
993#448—611no—
994#448—611no—
995#446—611no—
996#446—611no—
997#442—611no—
998#442C2×D6111yescharacteristic
999#440—611no—
1000#440—611no—
1001#440—611no—
1002#440—611no—
1003#440—611no—
1004#440—611no—
1005C4×SD16—611no—
1006C4×SD16—611no—
1007C4×SD16—611no—
1008C4×SD16—611no—
1009#435—611no—
1010#435—611no—
1011#435—611no—
1012#435C2×D6111yescharacteristic
1013C8×D4—611no—
1014C8×D4—611no—
1015#432—611no—
1016#432—611no—
1017#431—611no—
1018#428—611no—
1019#428C2×D6111yescharacteristic
1020#427—611no—
1021#427—611no—
1022C2×#106—611no—
1023C2×#106C2×D6111yescharacteristic
1024#423—611no—
1025C2×C4⋊C8—611no—
1026C2×C4⋊C8—611no—
1027#419—611no—
1028#419—611no—
1029#416—611no—
1030#416—611no—
1031C2×#103—611no—
1032C2×#103—611no—
1033C61#6212911yescharacteristic, complemented, Sylow
1034C2×#41—21no—
1035C2×#41—611no—
1036C2×#41—611no—
1037C2×#41—1221no—
1038C2×#41—1221no—
1039C2×#41—1221no—
1040C22×Q8—611no—
1041C22×Q8—611no—
1042C22×Q8—1221no—
1043C2×SD16—611no—
1044C2×SD16—611no—
1045C2×SD16—611no—
1046C2×SD16—611no—
1047C2×SD16—611no—
1048C2×SD16—611no—
1049C2×D8—611no—
1050C2×D8C22×D6111yescharacteristic
1051C2×M16—611no—
1052C2×M16C22×D6111yescharacteristic
1053C22×C8—611no—
1054C22×C8—611no—
1055C22×C8—611no—
1056C22×C8C22×D6111yescharacteristic
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—611no—
1063C4⋊Q8—1221no—
1064C4⋊Q8—1221no—
1065C4⋊Q8—1221no—
1066C4⋊Q8—1221no—
1067C4⋊Q8C22×D6111yescharacteristic
1068#127—611no—
1069#126—21no—
1070#126—1221no—
1071#126—1221no—
1072#126—1221no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#125—611no—
1080#125—611no—
1081#125—611no—
1082#125—611no—
1083#125—611no—
1084#125—1221no—
1085#125—1221no—
1086#125—1221no—
1087#125—1221no—
1088#125—1221no—
1089#125C22×D6111yescharacteristic
1090#124—611no—
1091#124—611no—
1092#124—1221no—
1093#124—1221no—
1094#124—1221no—
1095#124—1221no—
1096#124—1221no—
1097#124—1221no—
1098#124—1221no—
1099#124—1221no—
1100#124—1221no—
1101#123—21no—
1102#123—21no—
1103#123—21no—
1104#123—1221no—
1105#123—1221no—
1106#123—1221no—
1107#123—1221no—
1108#123—1221no—
1109#123—1221no—
1110#123—1221no—
1111C22⋊Q8—21no—
1112C22⋊Q8—611no—
1113C22⋊Q8—611no—
1114C22⋊Q8—611no—
1115C22⋊Q8—611no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132#121—21no—
1133#121—611no—
1134#121—611no—
1135#121—611no—
1136#121—611no—
1137#121—1221no—
1138#121—1221no—
1139#121—1221no—
1140#121—1221no—
1141#121—1221no—
1142#121—1221no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121C22×D6111yescharacteristic
1148#121C22×D6111yescharacteristic
1149#121C22×D6111yescharacteristic
1150#121C22×D6111yescharacteristic
1151C4×Q8—611no—
1152C4×Q8—611no—
1153C4×Q8—611no—
1154C4×Q8—611no—
1155C4×Q8—611no—
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—611no—
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—1221no—
1162C4×Q8—1221no—
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×D4—21no—
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—1221no—
1184C4×D4—1221no—
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×D4C22×D6111yescharacteristic
1197C4×D4C22×D6111yescharacteristic
1198C4×D4C22×D6111yescharacteristic
1199#117—611no—
1200#117—611no—
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#117C22×D6111yescharacteristic
1216C2×C4⋊C4—611no—
1217C2×C4⋊C4—1221no—
1218C2×C4⋊C4—1221no—
1219C2×C4⋊C4—1221no—
1220C2×C4⋊C4—1221no—
1221C2×C4⋊C4—1221no—
1222C2×C4⋊C4C22×D6111yescharacteristic
1223C2×C4⋊C4C22×D6111yescharacteristic
1224C2×C4⋊C4C22×D6111yescharacteristic
1225C2×C42—611no—
1226C2×C42—611no—
1227C2×C42—611no—
1228C2×C42—1221no—
1229C2×C42—1221no—
1230C2×C42—1221no—
1231#107—611no—
1232#107—611no—
1233#107—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#107C22×D6111yescharacteristic
1239#107C22×D6111yescharacteristic
1240#107C22×D6111yescharacteristic
1241#106—611no—
1242#106—611no—
1243#106—611no—
1244#106—611no—
1245#106—611no—
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106C22×D6111yescharacteristic
1250#106C22×D6111yescharacteristic
1251#106C22×D6111yescharacteristic
1252#106C22×D6111yescharacteristic
1253#106C22×D6111yescharacteristic
1254#106C22×D6111yescharacteristic
1255C4⋊C8—611no—
1256C4⋊C8—611no—
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8—611no—
1264C4⋊C8C22×D6111yescharacteristic
1265#103—611no—
1266#103—611no—
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#103—611no—
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103—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#102C22×D6111yescharacteristic
1292#102C22×D6111yescharacteristic
1293#102C22×D6111yescharacteristic
1294#102C22×D6111yescharacteristic
1295#102C22×D6111yescharacteristic
1296#102C22×D6111yescharacteristic
1297C22⋊C8—611no—
1298C22⋊C8—611no—
1299C22⋊C8—611no—
1300C22⋊C8—611no—
1301C22⋊C8C22×D6111yescharacteristic
1302C22⋊C8C22×D6111yescharacteristic
1303#97—611no—
1304#97—611no—
1305#97—611no—
1306#97C22×D6111yescharacteristic
1307C4×C8—611no—
1308C4×C8—611no—
1309#41—44no—
1310#41—1222no—
1311#41—4882no—
1312#41—4882no—
1313#41—2442no—
1314#41—2441no—
1315#41—2444no—
1316C2×Q8—21no—
1317C2×Q8—611no—
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—1222no—
1327C2×Q8—1222no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8—4882no—
1331C2×Q8—2441no—
1332C2×Q8—2441no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—611no—
1338C2×D4—611no—
1339C2×D4—611no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4D4×D6111yescharacteristic
1348C2×D4C23×D6111yescharacteristic
1349C2×D4C23×D6111yescharacteristic
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4C23×D6111yescharacteristic
1373C22×C4C23×D6111yescharacteristic
1374SD16—1222no—
1375SD16—1222no—
1376SD16—2441no—
1377SD16—2441no—
1378SD16—2441no—
1379SD16—2441no—
1380D8—41no—
1381D8—2441no—
1382M16—41no—
1383M16—2441no—
1384C2×C8—41no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—611no—
1388C2×C8—611no—
1389C2×C8—2441no—
1390C2×C8—2441no—
1391C2×C8—2441no—
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C2×C8C23×D6111yescharacteristic
1395C2×C8C23×D6111yescharacteristic
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
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—611no—
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⋊C4D4×D6111yescharacteristic
1442C4⋊C4C23×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—611no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1482C22⋊C4D4×D6111yescharacteristic
1483C42—21no—
1484C42—611no—
1485C42—611no—
1486C42—611no—
1487C42—611no—
1488C42—611no—
1489C42—611no—
1490C42—611no—
1491C42—611no—
1492C42—611no—
1493C42—1221no—
1494C42—1221no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42C23×D6111yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—611no—
1509C23—1221no—
1510C23C2×D4×D6111yescharacteristic
1511C23C2×D4×D6111yescharacteristic
1512Q8—42no—
1513Q8—612no—
1514Q8—1221no—
1515Q8—1221no—
1516Q8—1221no—
1517Q8—1221no—
1518Q8—1221no—
1519Q8—4881no—
1520Q8—4881no—
1521Q8—2441no—
1522Q8—2442no—
1523Q8—2442no—
1524Q8—2442no—
1525Q8—2442no—
1526Q8—2442no—
1527D4—22no—
1528D4—21no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—42no—
1533D4—42no—
1534D4—42no—
1535D4—81no—
1536D4—1222no—
1537D4—1221no—
1538D4—1221no—
1539D4—4881no—
1540D4—4881no—
1541D4—4881no—
1542D4—2442no—
1543D4—2441no—
1544D4—2442no—
1545D4—2442no—
1546D4—2442no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—42no—
1558C2×C4—42no—
1559C2×C4—42no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—611no—
1563C2×C4—611no—
1564C2×C4—611no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—1222no—
1570C2×C4—1222no—
1571C2×C4—1222no—
1572C2×C4—1222no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—2441no—
1587C2×C4—2442no—
1588C2×C4—2442no—
1589C2×C4—2441no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4—2442no—
1593C2×C4—2442no—
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C24×D6111yescharacteristic
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—1221no—
1604C8—1221no—
1605C8—1221no—
1606C8—1221no—
1607C22—21no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—1221no—
1619C22—1221no—
1620C22—1221no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22#1684055812yes—
1625C22C22×D4×D6111yescharacteristic
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—612no—
1637C4—1221no—
1638C4—1222no—
1639C4—1221no—
1640C4—1221no—
1641C4—1221no—
1642C4—1221no—
1643C4—1221no—
1644C4—2441no—
1645C4—2441no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C42−1+4×D6111yescharacteristic
1651C4#1684059811yescharacteristic
1652C2—22no—
1653C2—41no—
1654C2—81no—
1655C2—81no—
1656C2—4881no—
1657C2—2441no—
1658C2#2145949311yescharacteristic
1659C2C2×#1684055811yescharacteristic
1660C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3345C2
socleC22×C61C23×D4
hypercenter#3345D61
hypocenterC61#62129
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #21459721C2semidirect
2. #21459431C2semidirect
3. #21458759C2semidirect
4. #21458757C2semidirect
5. #21458649C2semidirect
6. #21458647C2semidirect
7. #21458337C2semidirect
8. #21458335C2semidirect
9. #21458289C2semidirect
10. #21458202C2semidirect
11. #21458194C2semidirect
12. #21458008C2semidirect
13. #21458000C2semidirect
14. #21457992C2semidirect
15. #21457984C2semidirect
16. #21457727C2semidirect
17. #21457719C2semidirect
18. #21457174C2semidirect
19. #21457138C2semidirect
20. #21457137C2semidirect
21. #21457047C2semidirect
22. #21457034C2semidirect
23. #21456995C2semidirect
24. #21455966C2semidirect
25. #21455938C2semidirect
26. #21455847C2semidirect
27. #21455623C2semidirect
28. #21455604C2semidirect
29. C2×#16840046C2semidirect
30. #21454939C2semidirect
31. C61×#3345C2semidirect
831. #3345D61semidirect
1033. C61#62129semidirect

Maximal subgroups

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

subgroupindex
#214597212
#214594312
#214587592
#214587572
#214586492
#214586472
#214583372
#214583352
#214582892
#214582022
#214581942
#214580082
#214580002
#214579922
#214579842
#214577272
#214577192
#214571742
#214571382
#214571372
#214570472
#214570342
#214569952
#214559662
#214559382
#214558472
#214556232
#214556042
C2×#168400462
#214549392
C61×#33452
#6212961