Finite Group Databasebeta

← #30575877

Subgroups — #30575877

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#21459721C211yesmaximal, characteristic, complemented
2#21459376C211yesmaximal, characteristic, complemented
3#21458774C211yesmaximal, characteristic, complemented
4#21458772C211yesmaximal, characteristic, complemented
5#21458649C211yesmaximal, characteristic, complemented
6#21458647C211yesmaximal, characteristic, complemented
7#21458380C211yesmaximal, characteristic, complemented
8#21458372C211yesmaximal, characteristic, complemented
9#21458332C211yesmaximal, characteristic, complemented
10#21458330C211yesmaximal, characteristic, complemented
11#21458319C211yesmaximal, characteristic, complemented
12#21458023C211yesmaximal, characteristic, complemented
13#21458015C211yesmaximal, characteristic, complemented
14#21457981C211yesmaximal, characteristic, complemented
15#21457973C211yesmaximal, characteristic, complemented
16#21457797C211yesmaximal, characteristic, complemented
17#21457789C211yesmaximal, characteristic, complemented
18#21457208C211yesmaximal, characteristic, complemented
19#21457174C211yesmaximal, characteristic, complemented
20#21457138C211yesmaximal, characteristic, complemented
21#21457038C211yesmaximal, characteristic, complemented
22#21457034C211yesmaximal, characteristic, complemented
23#21456995C211yesmaximal, characteristic, complemented
24#21455965C211yesmaximal, characteristic, complemented
25#21455908C211yesmaximal, characteristic, complemented
26#21455874C211yesmaximal, characteristic, complemented
27#21455632C211yesmaximal, characteristic, complemented
28#21455614C211yesmaximal, characteristic, complemented
29#21455605C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3347C211yesmaximal, characteristic, complemented
32#16840482C2211yescharacteristic
33#16840479—21no—
34#16840476C2211yescharacteristic
35#16840475C2211yescharacteristic
36#16840473C2211yescharacteristic
37#16840471C2211yescharacteristic, complemented
38#16840468C2211yescharacteristic, complemented
39#16840464C2211yescharacteristic
40#16840460C2211yescharacteristic
41#16840459—21no—
42#16840458C2211yescharacteristic, complemented
43#16840451—21no—
44#16840451C2211yescharacteristic
45#16840451C2211yescharacteristic
46#16840442—21no—
47#16840442—21no—
48#16840421—21no—
49#16840418—21no—
50#16840417C2211yescharacteristic
51#16840410—21no—
52#16840409C2211yescharacteristic
53#16840409C2211yescharacteristic
54#16840380—21no—
55#16840378—21no—
56#16840339—21no—
57#16840318C2211yescharacteristic
58#16840317C2211yescharacteristic
59#16840315C2211yescharacteristic, complemented
60#16840309C2211yescharacteristic
61#16840307C2211yescharacteristic, complemented
62#16840307C2211yescharacteristic, complemented
63C2×#14519776C2211yescharacteristic, complemented
64#16840293C2211yescharacteristic
65#16840293C2211yescharacteristic
66#16840291—21no—
67#16840291—21no—
68#16840272—21no—
69#16840241—21no—
70#16840230C2211yescharacteristic
71#16840230C2211yescharacteristic
72C4×#11758224C2211yescharacteristic
73C4×D4×D61C2211yescharacteristic
74#117×D61—21no—
75#16840170C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840168C2211yescharacteristic, complemented
78#16840163C2211yescharacteristic, complemented
79#16840162C2211yescharacteristic, complemented
80#16840132C2211yescharacteristic, complemented
81#16840131C2211yescharacteristic, complemented
82#16840120C2211yescharacteristic
83#16840120C2211yescharacteristic
84#16840115C2211yescharacteristic
85#16840115C2211yescharacteristic
86#16840106C2211yescharacteristic
87#16840106C2211yescharacteristic
88#16840105C2211yescharacteristic
89#16840105C2211yescharacteristic
90#16840104C2211yescharacteristic, complemented
91#16840103C2211yescharacteristic, complemented
92#16840093C2211yescharacteristic, complemented
93#16840092C2211yescharacteristic, complemented
94#16840086C2211yescharacteristic, complemented
95#16840086C2211yescharacteristic, complemented
96#16840083C2211yescharacteristic
97#16840082C2211yescharacteristic
98#16840079C2211yescharacteristic
99#16840073C2211yescharacteristic
100#16840072C2211yescharacteristic, complemented
101#16840068C2211yescharacteristic, complemented
102#16840065C2211yescharacteristic
103#16840065C2211yescharacteristic, complemented
104#16840064C2211yescharacteristic, complemented
105#16840063C2211yescharacteristic
106#16840062C2211yescharacteristic
107#16840061C2211yescharacteristic
108#16840061C2211yescharacteristic, complemented
109#16840060C2211yescharacteristic, complemented
110#16840059C2211yescharacteristic
111#16840056C2211yescharacteristic, complemented
112#16840056C2211yescharacteristic, complemented
113#16840056C2211yescharacteristic, complemented
114#16840056C2211yescharacteristic, complemented
115#16840051C2211yescharacteristic
116#16840051C2211yescharacteristic
117#16840050C2211yescharacteristic
118#16840050C2211yescharacteristic
119#16840046C2211yescharacteristic, complemented
120#16840046C2211yescharacteristic, complemented
121#16840046C2211yescharacteristic, complemented
122#16840046C2211yescharacteristic, complemented
123#16840041C2211yescharacteristic
124#16840041C2211yescharacteristic
125#16840041C2211yescharacteristic
126#16840040C2211yescharacteristic
127#16840039C2211yescharacteristic, complemented
128#16840013C2211yescharacteristic
129#16840009C2211yescharacteristic
130#16840009C2211yescharacteristic
131#16840008C2211yescharacteristic, complemented
132#16840007C2211yescharacteristic
133#16840007C2211yescharacteristic
134#16840006C2211yescharacteristic, complemented
135#16839996C2211yescharacteristic
136#16839991C2211yescharacteristic, complemented
137#16839989C2211yescharacteristic, complemented
138#16839976C2211yescharacteristic
139#16839976C2211yescharacteristic
140#16839975C2211yescharacteristic
141#16839975C2211yescharacteristic
142#16839968C2211yescharacteristic, complemented
143#16839967C2211yescharacteristic, complemented
144#16839961C2211yescharacteristic, complemented
145#16839961C2211yescharacteristic, complemented
146#16839956C2211yescharacteristic
147#16839955C2211yescharacteristic
148#16839909C2211yescharacteristic
149#16839909C2211yescharacteristic
150#16839905C2211yescharacteristic
151#16839905C2211yescharacteristic
152#16839897C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839875C2211yescharacteristic
157#16839873C2211yescharacteristic
158#16839872C2211yescharacteristic
159#16839872C2211yescharacteristic
160#16839871C2211yescharacteristic
161#16839861C2211yescharacteristic, complemented
162#16839859C2211yescharacteristic, complemented
163#16839853C2211yescharacteristic, complemented
164#16839849C2211yescharacteristic, complemented
165#16839844C2211yescharacteristic
166#16839842C2211yescharacteristic
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic, complemented
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839805C2211yescharacteristic, complemented
176#16839803C2211yescharacteristic
177#16839801C2211yescharacteristic
178#16839798C2211yescharacteristic, complemented
179#16839785C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic
181C2×#14519706C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839764C2211yescharacteristic
185#16839761C2211yescharacteristic
186#16839759C2211yescharacteristic
187#16839756C2211yescharacteristic
188C61×#555C2211yescharacteristic
189C61×#553C2211yescharacteristic, complemented
190C61×#501C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic
192C61×#482C2211yescharacteristic, complemented
193C61×#482C2211yescharacteristic, complemented
194C61×#480C2211yescharacteristic
195C61×#478C2211yescharacteristic
196C61×#474C2211yescharacteristic, complemented
197C61×#469C2211yescharacteristic
198C61×#466C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#435C2211yescharacteristic, complemented
201C61×#428C2211yescharacteristic, complemented
202C61×#427C2211yescharacteristic, complemented
203C2×#11758222—21no—
204C2×#11758222C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224D411yescharacteristic
209C22×Dic122—21no—
210C2×D4×D61C2311yescharacteristic
211C22×C4×D61—21no—
212C2×#11758190C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×D488C2311yescharacteristic
217C2×#11758199C2311yescharacteristic
218C2×#11758199C2311yescharacteristic
219C2×#11758194C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×#11758189C2311yescharacteristic
222C22×#92418C2311yescharacteristic
223#14519777C2311yescharacteristic
224#14519776—21no—
225#14519776—21no—
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519773C2311yescharacteristic
232#14519772—21no—
233#14519772—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519769—21no—
242#14519769—21no—
243#14519769C2311yescharacteristic
244#14519768—21no—
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519765—21no—
250#14519764—21no—
251#14519764C2311yescharacteristic
252#14519764C2311yescharacteristic
253#14519763—21no—
254#14519763—21no—
255#14519763—21no—
256#14519763—21no—
257#14519763—21no—
258#14519762—21no—
259#14519761—21no—
260#14519759—21no—
261#14519759—21no—
262#14519759—21no—
263#14519759—21no—
264#14519759—21no—
265#14519759—21no—
266#14519759—21no—
267#14519758—21no—
268#14519758—21no—
269#14519757—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#14519753—21no—
286#14519753—21no—
287#14519753—21no—
288#14519752C2311yescharacteristic
289#14519751—21no—
290#14519751C2311yescharacteristic
291#14519751C2311yescharacteristic
292#14519750—21no—
293#14519750—21no—
294#14519749—21no—
295#14519749—21no—
296#14519749—21no—
297#14519749—21no—
298#14519749—21no—
299#14519748—21no—
300#14519748—21no—
301#14519748—21no—
302#14519748C2311yescharacteristic
303#14519745—21no—
304#14519745—21no—
305Q8×Dic61—21no—
306C4×Dic122—21no—
307C4×Dic122—21no—
308C4×Dic122C2311yescharacteristic
309#14519742—21no—
310#14519742—21no—
311#14519742D411yescharacteristic
312#14519742C2311yescharacteristic
313#14519742C2311yescharacteristic
314#14519742C2311yescharacteristic
315#14519742C2311yescharacteristic
316C4×D244C2311yescharacteristic
317C4×D244C2311yescharacteristic
318D4×Dic61—21no—
319D4×Dic61—21no—
320D4×Dic61—21no—
321D4×Dic61D411yescharacteristic
322D4×Dic61C2311yescharacteristic
323D4×Dic61C2311yescharacteristic
324D4×Dic61C2311yescharacteristic
325#14519739C2311yescharacteristic
326#14519739C2311yescharacteristic
327#14519739C2311yescharacteristic
328#14519739C2311yescharacteristic
329#14519739C2311yescharacteristic
330C4×C22⋊D61—21no—
331C4×C22⋊D61—21no—
332C4×C22⋊D61—21no—
333C4×C22⋊D61C2311yescharacteristic
334C4×C22⋊D61C2311yescharacteristic
335#14519737—21no—
336#14519737—21no—
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737D411yescharacteristic
344#14519737D411yescharacteristic
345#14519736—21no—
346#14519736C2311yescharacteristic
347#14519735—21no—
348#14519735D411yescharacteristic
349#14519735C2311yescharacteristic
350#14519735C2311yescharacteristic
351#14519734—21no—
352#14519734—21no—
353#14519734—21no—
354#14519734—21no—
355#14519734—21no—
356#14519733—21no—
357#14519733—21no—
358#14519733—21no—
359#14519733D411yescharacteristic
360#14519733D411yescharacteristic
361C2×C4⋊Dic61C2311yescharacteristic
362C2×#11758196—21no—
363C2×#11758196—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61C2311yescharacteristic
368C22⋊C4×D61—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C2×C4×Dic61C2311yescharacteristic
372C2×C4×Dic61C2311yescharacteristic
373C42×D61—21no—
374C42×D61—21no—
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×D8×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#125×C61C2311yescharacteristic
441#124×C61—21no—
442#124×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×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454#117×C61—21no—
455#117×C61C2311yescharacteristic
456#117×C61C2311yescharacteristic
457#117×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#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
477#97×C61C2311yescharacteristic
478C23×D61—21no—
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×C61C2411yescharacteristic
491C22×C4×C61C2411yescharacteristic
492C2×C22⋊D61—21no—
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⋊D61C2×D411yescharacteristic
501C2×C22⋊D61C2×D411yescharacteristic
502C22×Dic61—21no—
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61C2×D411yescharacteristic
507C22×Dic61C2×D411yescharacteristic
508C22×Dic61C2×D411yescharacteristic
509C22×Dic61C2×D411yescharacteristic
510#11758224—42no—
511#11758224—44no—
512#11758224—82no—
513D4×D61—22no—
514D4×D61—41no—
515#11758222—22no—
516#11758222—22no—
517#11758222—41no—
518#11758222—41no—
519#11758222—82no—
520C2×D244—21no—
521C2×D244C2411yescharacteristic
522C2×D244C2411yescharacteristic
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—21no—
532C2×C4×D61—21no—
533C2×C4×D61—44no—
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2411yescharacteristic
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—82no—
543C2×Dic122C2×D411yescharacteristic
544C2×Dic122C2411yescharacteristic
545C2×Dic122C2411yescharacteristic
546D8×C61—41no—
547M16×C61—41no—
548C2×C8×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×C61C2×D411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
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×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61C2×D411yescharacteristic
574C22⋊C4×C61C2×D411yescharacteristic
575C42×C61—21no—
576C42×C61—21no—
577C42×C61—21no—
578C42×C61C2411yescharacteristic
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61C2×D411yescharacteristic
591C22⋊Dic61C2×D411yescharacteristic
592#11758200—41no—
593#11758200—41no—
594#11758199—22no—
595#11758199—41no—
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#11758198C2×D411yescharacteristic
611#11758198C2×D411yescharacteristic
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61C2×D411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663C4×Dic61C2411yescharacteristic
664#11758194—41no—
665C2×#92418—41no—
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670D488—22no—
671#11758190—41no—
672#11758190—41no—
673#11758189—41no—
674#11758189—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61C22×D411yescharacteristic
678C23×C61C22×D411yescharacteristic
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—42no—
682C22×D61—42no—
683C22×D61—81no—
684C22×D61C22×D411yescharacteristic
685Q8×C61—81no—
686D4×C61—21no—
687D4×C61—21no—
688D4×C61—21no—
689D4×C61—21no—
690D4×C61—41no—
691D4×C61—42no—
692D4×C61—81no—
693D4×C61—81no—
694D4×C61—81no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—42no—
706C2×C4×C61—81no—
707C2×C4×C61—81no—
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C2511yescharacteristic
713C22⋊D61—41no—
714C22⋊D61—41no—
715C22⋊D61—42no—
716C22⋊D61—42no—
717C22⋊D61—42no—
718C22⋊D61—42no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—81no—
722C22⋊D61—81no—
723C2×Dic61—22no—
724C2×Dic61—22no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—41no—
732C2×Dic61—41no—
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—21no—
747D244—81no—
748D2442−1+412yes—
749C4×D61—21no—
750C4×D61—21no—
751C4×D61—22no—
752C4×D61—41no—
753C4×D61—42no—
754C4×D61—42no—
755C4×D61—42no—
756C4×D61—42no—
757C4×D61—42no—
758C4×D61—42no—
759C4×D61—81no—
760C4×D61—81no—
761C4×D61—81no—
762C4×D61—81no—
763Dic122—21no—
764Dic122—21no—
765Dic122—21no—
766Dic122—21no—
767Dic122—41no—
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—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—21no—
786C22×C61—21no—
787C22×C61—21no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61C23×D411yescharacteristic
795C2×D61—21no—
796C2×D61—21no—
797C2×D61—22no—
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—41no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61C2×2−1+411yescharacteristic
816C4×C61#58511yescharacteristic
817Dic61—21no—
818Dic61—21no—
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#3376—611no—
836#3351—611no—
837#3351—611no—
838#3348—611no—
839#3348—611no—
840#3347—611no—
841#3347D6111yescharacteristic, complemented
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—41no—
862C2×C61—41no—
863C2×C61—81no—
864C2×C61—81no—
865C2×C61#348911yescharacteristic
866C2×C61C2×#57511yescharacteristic
867C2×C61#358511yescharacteristic
868D61—41no—
869D61—42no—
870D61—81no—
871#556—611no—
872#556—1221no—
873#555—611no—
874#555—611no—
875#555C2×D6111yescharacteristic
876#554—611no—
877#554—611no—
878#554—611no—
879#553—611no—
880#553—611no—
881#553—611no—
882#553—1221no—
883#553C2×D6111yescharacteristic, complemented
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#501C2×D6111yescharacteristic, complemented
920#499—611no—
921#499—611no—
922#491—611no—
923#491—611no—
924#489—611no—
925#489—611no—
926#488—611no—
927#488—611no—
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#482C2×D6111yescharacteristic
940#482C2×D6111yescharacteristic, complemented
941#482C2×D6111yescharacteristic, complemented
942#481—611no—
943#481—611no—
944#480—611no—
945#480C2×D6111yescharacteristic
946#479—611no—
947#479—611no—
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#475—611no—
970#474—611no—
971#474—611no—
972#474—611no—
973#474—611no—
974#474—611no—
975#474C2×D6111yescharacteristic, complemented
976#469—611no—
977#469C2×D6111yescharacteristic
978#468—611no—
979#468—611no—
980#468—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#466—611no—
985#466C2×D6111yescharacteristic
986#465—611no—
987#465—611no—
988#463—611no—
989#463—611no—
990#463—611no—
991#463—611no—
992#461—611no—
993#461—611no—
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#446—611no—
1006#442—611no—
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#442—611no—
1011#442C2×D6111yescharacteristic
1012#440—611no—
1013#440—611no—
1014C4×SD16—611no—
1015C4×SD16—611no—
1016C4×D8—611no—
1017C4×D8—611no—
1018#436—611no—
1019#436—611no—
1020#435—611no—
1021#435—611no—
1022#435—611no—
1023#435C2×D6111yescharacteristic, complemented
1024#432—611no—
1025#432—611no—
1026#431—611no—
1027#428—611no—
1028#428—611no—
1029#428—611no—
1030#428C2×D6111yescharacteristic, complemented
1031#427—611no—
1032#427C2×D6111yescharacteristic, complemented
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×SD16—611no—
1055C2×SD16—611no—
1056C2×D8—611no—
1057C2×D8—611no—
1058C2×D8—611no—
1059C2×D8C22×D6111yescharacteristic
1060C2×M16—611no—
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16C22×D6111yescharacteristic
1064C22×C8—611no—
1065C22×C8C22×D6111yescharacteristic
1066C4⋊Q8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—611no—
1071C4⋊Q8—611no—
1072C4⋊Q8—1221no—
1073C4⋊Q8—1221no—
1074C4⋊Q8C22×D6111yescharacteristic
1075#127—611no—
1076#126—21no—
1077#126—1221no—
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—611no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125C22×D6111yescharacteristic
1095#124—21no—
1096#124—21no—
1097#124—611no—
1098#124—611no—
1099#124—1221no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#123—21no—
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—611no—
1119C22⋊Q8—611no—
1120C22⋊Q8—611no—
1121C22⋊Q8—611no—
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—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137#121—21no—
1138#121—21no—
1139#121—611no—
1140#121—611no—
1141#121—611no—
1142#121—611no—
1143#121—1221no—
1144#121—1221no—
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#121C22×D6111yescharacteristic
1155#121C22×D6111yescharacteristic
1156#121C22×D6111yescharacteristic
1157#121C22×D6111yescharacteristic
1158#120—1221no—
1159#120—1221no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
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—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
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—1221no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117C22×D6111yescharacteristic
1222#117C22×D6111yescharacteristic
1223#117C22×D6111yescharacteristic
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4C22×D6111yescharacteristic
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#107C22×D6111yescharacteristic
1248#107C22×D6111yescharacteristic
1249#107C22×D6111yescharacteristic
1250#107C22×D6111yescharacteristic
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#106C22×D6111yescharacteristic
1261#106C22×D6111yescharacteristic
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⋊C8—611no—
1272C4⋊C8—611no—
1273C4⋊C8C22×D6111yescharacteristic
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#103—611no—
1284#103—611no—
1285#103—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102C22×D6111yescharacteristic
1301#102C22×D6111yescharacteristic
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⋊C8C22×D6111yescharacteristic
1311C22⋊C8C22×D6111yescharacteristic
1312#97—611no—
1313#97—611no—
1314#97—611no—
1315#97C22×D6111yescharacteristic
1316C4×C8—611no—
1317C4×C8—611no—
1318C24—1221no—
1319#41—1222no—
1320#41—1222no—
1321#41—4882no—
1322#41—4882no—
1323#41—2441no—
1324#41—2441no—
1325#41—2442no—
1326#41—2444no—
1327C2×Q8—21no—
1328C2×Q8—611no—
1329C2×Q8—611no—
1330C2×Q8—611no—
1331C2×Q8—1221no—
1332C2×Q8—1221no—
1333C2×Q8—1221no—
1334C2×Q8—1221no—
1335C2×Q8—1221no—
1336C2×Q8—4882no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—611no—
1342C2×D4—611no—
1343C2×D4—611no—
1344C2×D4—611no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1222no—
1350C2×D4—1221no—
1351C2×D4—1221no—
1352C2×D4—1221no—
1353C2×D4—1221no—
1354C2×D4—1221no—
1355C2×D4—2441no—
1356C2×D4D4×D6111yescharacteristic
1357C2×D4C23×D6111yescharacteristic
1358C2×D4C23×D6111yescharacteristic
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—2444no—
1384C22×C4C23×D6111yescharacteristic
1385C22×C4C23×D6111yescharacteristic
1386SD16—2441no—
1387SD16—2441no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—41no—
1391D8—1222no—
1392D8—1222no—
1393D8—2441no—
1394M16—41no—
1395M16—2441no—
1396M16—2441no—
1397M16—2441no—
1398C2×C8—41no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—611no—
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—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4D4×D6111yescharacteristic
1449C4⋊C4C23×D6111yescharacteristic
1450C4⋊C4C23×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—21no—
1464C22⋊C4—611no—
1465C22⋊C4—611no—
1466C22⋊C4—611no—
1467C22⋊C4—611no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4D4×D6111yescharacteristic
1494C22⋊C4D4×D6111yescharacteristic
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—611no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—611no—
1506C42—611no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42—1221no—
1514C42C23×D6111yescharacteristic
1515C23—21no—
1516C23—21no—
1517C23—611no—
1518C23—1221no—
1519C23—1221no—
1520C23—4881no—
1521C23—2442no—
1522C23—2442no—
1523C23C2×D4×D6111yescharacteristic
1524C23C2×D4×D6111yescharacteristic
1525Q8—81no—
1526Q8—1221no—
1527Q8—1221no—
1528Q8—1221no—
1529Q8—1221no—
1530Q8—4881no—
1531Q8—4881no—
1532Q8—2441no—
1533Q8—2442no—
1534Q8—2442no—
1535Q8—2442no—
1536D4—21no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—41no—
1541D4—42no—
1542D4—81no—
1543D4—81no—
1544D4—81no—
1545D4—612no—
1546D4—1221no—
1547D4—1221no—
1548D4—1221no—
1549D4—4881no—
1550D4—4881no—
1551D4—4881no—
1552D4—2442no—
1553D4—2441no—
1554D4—2441no—
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—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—42no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—611no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—1222no—
1581C2×C4—1222no—
1582C2×C4—1222no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—2441no—
1598C2×C4—2442no—
1599C2×C4—2442no—
1600C2×C4—2442no—
1601C2×C4—2442no—
1602C2×C4—2442no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2441no—
1606C2×C4—2441no—
1607C2×C4—2442no—
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—21no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—1221no—
1634C22—1222no—
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—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—612no—
1655C4—1221no—
1656C4—1221no—
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—41no—
1670C2—41no—
1671C2—81no—
1672C2—81no—
1673C2—4881no—
1674C2—2441no—
1675C2—2442no—
1676C2#2145949311yescharacteristic
1677C2#575×D6111yescharacteristic
1678C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3347C2
socleC22×C61C23×D4
hypercenter#3347D61
hypocenterC61#62115
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #21459721C2semidirect
2. #21459376C2semidirect
3. #21458774C2semidirect
4. #21458772C2semidirect
5. #21458649C2semidirect
6. #21458647C2semidirect
7. #21458380C2semidirect
8. #21458372C2semidirect
9. #21458332C2semidirect
10. #21458330C2semidirect
11. #21458319C2semidirect
12. #21458023C2semidirect
13. #21458015C2semidirect
14. #21457981C2semidirect
15. #21457973C2semidirect
16. #21457797C2semidirect
17. #21457789C2semidirect
18. #21457208C2semidirect
19. #21457174C2semidirect
20. #21457138C2semidirect
21. #21457038C2semidirect
22. #21457034C2semidirect
23. #21456995C2semidirect
24. #21455965C2semidirect
25. #21455908C2semidirect
26. #21455874C2semidirect
27. #21455632C2semidirect
28. #21455614C2semidirect
29. #21455605C2semidirect
30. #21454931C2semidirect
31. C61×#3347C2semidirect
37. #16840471C22semidirect
38. #16840468C22semidirect
42. #16840458C22semidirect
59. #16840315C22semidirect
61. #16840307C22semidirect
62. #16840307C22semidirect
63. C2×#14519776C22semidirect
75. #16840170C22semidirect
76. #16840170C22semidirect
77. #16840168C22semidirect
78. #16840163C22semidirect
79. #16840162C22semidirect
80. #16840132C22semidirect
81. #16840131C22semidirect
90. #16840104C22semidirect
91. #16840103C22semidirect
92. #16840093C22semidirect
93. #16840092C22semidirect
94. #16840086C22semidirect
95. #16840086C22semidirect
100. #16840072C22semidirect
101. #16840068C22semidirect
103. #16840065C22semidirect
104. #16840064C22semidirect
108. #16840061C22semidirect
109. #16840060C22semidirect
111. #16840056C22semidirect
112. #16840056C22semidirect
113. #16840056C22semidirect
114. #16840056C22semidirect
119. #16840046C22semidirect
120. #16840046C22semidirect
121. #16840046C22semidirect
122. #16840046C22semidirect
127. #16840039C22semidirect
131. #16840008C22semidirect
134. #16840006C22semidirect
136. #16839991C22semidirect
137. #16839989C22semidirect
142. #16839968C22semidirect
143. #16839967C22semidirect
144. #16839961C22semidirect
145. #16839961C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
161. #16839861C22semidirect
162. #16839859C22semidirect
163. #16839853C22semidirect
164. #16839849C22semidirect
169. #16839834C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839805C22semidirect
178. #16839798C22semidirect
179. #16839785C22semidirect
181. C2×#14519706C22semidirect
189. C61×#553C22semidirect
190. C61×#501C22semidirect
192. C61×#482C22semidirect
193. C61×#482C22semidirect
196. C61×#474C22semidirect
200. C61×#435C22semidirect
201. C61×#428C22semidirect
202. C61×#427C22semidirect
841. #3347D61semidirect
883. #553C2×D61semidirect
919. #501C2×D61semidirect
940. #482C2×D61semidirect
941. #482C2×D61semidirect
975. #474C2×D61semidirect
1023. #435C2×D61semidirect
1030. #428C2×D61semidirect
1032. #427C2×D61semidirect
1042. C61#62115semidirect

Maximal subgroups

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

subgroupindex
#214597212
#214593762
#214587742
#214587722
#214586492
#214586472
#214583802
#214583722
#214583322
#214583302
#214583192
#214580232
#214580152
#214579812
#214579732
#214577972
#214577892
#214572082
#214571742
#214571382
#214570382
#214570342
#214569952
#214559652
#214559082
#214558742
#214556322
#214556142
#214556052
#214549312
C61×#33472
#6211561