Finite Group Databasebeta

← #30575989

Subgroups — #30575989

Order 15616.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459790C211yesmaximal, characteristic, complemented
2#21459420C211yesmaximal, characteristic, complemented
3#21458778C211yesmaximal, characteristic, complemented
4#21458761C211yesmaximal, characteristic, complemented
5#21458582C211yesmaximal, characteristic, complemented
6#21458565C211yesmaximal, characteristic, complemented
7#21458420C211yesmaximal, characteristic, complemented
8#21458372C211yesmaximal, characteristic, complemented
9#21458304C211yesmaximal, characteristic, complemented
10#21458302C211yesmaximal, characteristic, complemented
11#21458295C211yesmaximal, characteristic, complemented
12#21458276C211yesmaximal, characteristic, complemented
13#21458031C211yesmaximal, characteristic, complemented
14#21458024C211yesmaximal, characteristic, complemented
15#21457896C211yesmaximal, characteristic, complemented
16#21457840C211yesmaximal, characteristic, complemented
17#21457784C211yesmaximal, characteristic, complemented
18#21457214C211yesmaximal, characteristic, complemented
19#21457177C211yesmaximal, characteristic, complemented
20#21457165C211yesmaximal, characteristic, complemented
21#21457057C211yesmaximal, characteristic, complemented
22#21457004C211yesmaximal, characteristic, complemented
23#21456986C211yesmaximal, characteristic, complemented
24#21455952C211yesmaximal, characteristic, complemented
25#21455924C211yesmaximal, characteristic, complemented
26#21455861C211yesmaximal, characteristic, complemented
27#21455636C211yesmaximal, characteristic, complemented
28#21455613C211yesmaximal, characteristic, complemented
29C2×#16840064C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3318C211yesmaximal, characteristic, complemented
32#16840498C2211yescharacteristic
33#16840489C2211yescharacteristic, complemented
34#16840471C2211yescharacteristic, complemented
35#16840469C2211yescharacteristic
36#16840469C2211yescharacteristic
37#16840467C2211yescharacteristic, complemented
38#16840464—21no—
39#16840464C2211yescharacteristic
40#16840464C2211yescharacteristic
41#16840459C2211yescharacteristic, complemented
42#16840452—21no—
43#16840452C2211yescharacteristic
44#16840451C2211yescharacteristic, complemented
45#16840449—21no—
46#16840448—21no—
47#16840443—21no—
48#16840443—21no—
49#16840412—21no—
50#16840412C2211yescharacteristic, complemented
51#16840406—21no—
52#16840406C2211yescharacteristic
53#16840406C2211yescharacteristic
54#16840369—21no—
55#16840357—21no—
56#16840355—21no—
57#16840315C2211yescharacteristic, complemented
58#16840310C2211yescharacteristic
59#16840294C2211yescharacteristic, complemented
60#16840293—21no—
61#16840293C2211yescharacteristic
62#16840293C2211yescharacteristic
63#16840293C2211yescharacteristic, complemented
64#16840293C2211yescharacteristic, complemented
65C2×#14519768C2211yescharacteristic, complemented
66#125×D61C2211yescharacteristic, complemented
67#16840268—21no—
68#16840268—21no—
69#16840241—21no—
70C4×#11758224C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×D4×Dic61—21no—
73C2×D4×Dic61C2211yescharacteristic
74C2×D4×Dic61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840171C2211yescharacteristic, complemented
77#16840170C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840162C2211yescharacteristic, complemented
80#16840162C2211yescharacteristic, complemented
81#16840126C2211yescharacteristic
82#16840120C2211yescharacteristic, complemented
83#16840120C2211yescharacteristic, complemented
84#16840115C2211yescharacteristic, complemented
85#16840115C2211yescharacteristic, complemented
86#16840106C2211yescharacteristic, complemented
87#16840104C2211yescharacteristic, complemented
88#16840103C2211yescharacteristic, complemented
89#16840098C2211yescharacteristic, complemented
90#16840097C2211yescharacteristic, complemented
91#16840093C2211yescharacteristic, complemented
92#16840093C2211yescharacteristic, complemented
93#16840085C2211yescharacteristic, complemented
94#16840083C2211yescharacteristic
95#16840079C2211yescharacteristic, complemented
96#16840079C2211yescharacteristic, complemented
97#16840078C2211yescharacteristic, complemented
98#16840074C2211yescharacteristic, complemented
99#16840074C2211yescharacteristic, complemented
100#16840073C2211yescharacteristic
101#16840073C2211yescharacteristic, complemented
102#16840072C2211yescharacteristic, complemented
103#16840072C2211yescharacteristic, complemented
104#16840072C2211yescharacteristic, complemented
105#16840070C2211yescharacteristic, complemented
106#16840068C2211yescharacteristic, complemented
107#16840068C2211yescharacteristic, complemented
108#16840066C2211yescharacteristic, complemented
109#16840064C2211yescharacteristic
110#16840064C2211yescharacteristic
111#16840064C2211yescharacteristic
112#16840064C2211yescharacteristic
113#16840064C2211yescharacteristic, complemented
114#16840064C2211yescharacteristic, complemented
115#16840064C2211yescharacteristic, complemented
116#16840064C2211yescharacteristic, complemented
117#16840064C2211yescharacteristic, complemented
118#16840064C2211yescharacteristic, complemented
119#16840064C2211yescharacteristic, complemented
120#16840062C2211yescharacteristic
121#16840060C2211yescharacteristic
122#16840060C2211yescharacteristic, complemented
123#16840060C2211yescharacteristic, complemented
124#16840060C2211yescharacteristic, complemented
125#16840050C2211yescharacteristic
126#16840050C2211yescharacteristic, complemented
127#16840048C2211yescharacteristic, complemented
128#16840042C2211yescharacteristic, complemented
129#16840040C2211yescharacteristic
130#16840040C2211yescharacteristic, complemented
131#16840020C2211yescharacteristic, complemented
132#16840012C2211yescharacteristic, complemented
133#16840012C2211yescharacteristic, complemented
134#16840007C2211yescharacteristic, complemented
135#16840007C2211yescharacteristic, complemented
136#16840006C2211yescharacteristic
137#16840006C2211yescharacteristic, complemented
138#16840003C2211yescharacteristic, complemented
139#16839989C2211yescharacteristic
140#16839989C2211yescharacteristic, complemented
141#16839983C2211yescharacteristic, complemented
142#16839983C2211yescharacteristic, complemented
143#16839983C2211yescharacteristic, complemented
144#16839975C2211yescharacteristic
145#16839975C2211yescharacteristic, complemented
146#16839975C2211yescharacteristic, complemented
147#16839975C2211yescharacteristic, complemented
148#16839975C2211yescharacteristic, complemented
149#16839959C2211yescharacteristic
150#16839925C2211yescharacteristic
151#16839913C2211yescharacteristic
152#16839913C2211yescharacteristic
153#16839904C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839874C2211yescharacteristic
157#16839874C2211yescharacteristic, complemented
158#16839870C2211yescharacteristic, complemented
159#16839862C2211yescharacteristic
160#16839862C2211yescharacteristic, complemented
161#16839859C2211yescharacteristic
162#16839859C2211yescharacteristic, complemented
163#16839853C2211yescharacteristic
164#16839853C2211yescharacteristic, complemented
165D8×Dic61C2211yescharacteristic
166D8×Dic61C2211yescharacteristic, complemented
167#16839838C2211yescharacteristic, complemented
168#16839837C2211yescharacteristic, complemented
169#16839834C2211yescharacteristic
170#16839833C2211yescharacteristic, complemented
171#16839830C2211yescharacteristic, complemented
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839805C2211yescharacteristic, complemented
176#16839804C2211yescharacteristic, complemented
177#16839803C2211yescharacteristic, complemented
178#16839801C2211yescharacteristic, complemented
179C2×#14519710C2211yescharacteristic, complemented
180C2×#14519709C2211yescharacteristic, complemented
181#16839785C2211yescharacteristic, complemented
182#16839784C2211yescharacteristic, complemented
183C2×#14519706C2211yescharacteristic, complemented
184#16839767C2211yescharacteristic
185#16839760C2211yescharacteristic
186#16839760C2211yescharacteristic
187C2×#14519698C2211yescharacteristic
188C61×#553C2211yescharacteristic
189D42×C61C2211yescharacteristic
190C61×#490C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#481C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#469C2211yescharacteristic
195C61×#466C2211yescharacteristic
196C61×#459C2211yescharacteristic
197C61×#447C2211yescharacteristic
198C61×#447C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#418C2211yescharacteristic
202C2×#102×C61C2211yescharacteristic
203C2×#11758224—21no—
204C2×#11758224—21no—
205C2×#11758224D411yescharacteristic
206C2×#11758224C2311yescharacteristic
207C23×Dic61—21no—
208C23×Dic61—21no—
209C2×Dic244C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758200C2311yescharacteristic
213C2×#11758200C2311yescharacteristic
214C2×#11758194C2311yescharacteristic
215C2×#11758189C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C22×#92418C2311yescharacteristic
218#14519777C2311yescharacteristic
219#14519776—21no—
220#14519776C2311yescharacteristic
221#14519776C2311yescharacteristic
222#14519770—21no—
223#14519770—21no—
224#14519770—21no—
225#14519770—21no—
226#14519770—21no—
227#14519770—21no—
228#14519770—21no—
229#14519770—21no—
230#14519770—21no—
231#14519770—21no—
232#14519769—21no—
233#14519769C2311yescharacteristic
234#14519768—21no—
235#14519768—21no—
236#14519768—21no—
237#14519768C2311yescharacteristic
238#14519768C2311yescharacteristic
239#14519768C2311yescharacteristic
240#14519768C2311yescharacteristic
241#14519768C2311yescharacteristic
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519767—21no—
245#14519767—21no—
246#14519767—21no—
247#14519767—21no—
248#14519767—21no—
249#14519767—21no—
250#14519764—21no—
251#14519764—21no—
252#14519764C2311yescharacteristic
253#14519764C2311yescharacteristic
254#14519764C2311yescharacteristic
255#14519761—21no—
256#14519761—21no—
257#14519759—21no—
258#14519759—21no—
259#14519759—21no—
260#14519758—21no—
261#14519758—21no—
262#14519758—21no—
263#14519758—21no—
264#14519758—21no—
265#14519758—21no—
266#14519758—21no—
267#14519758—21no—
268#14519758—21no—
269#14519758—21no—
270#14519758—21no—
271#14519757C2311yescharacteristic
272#14519756—21no—
273#14519756—21no—
274#14519756—21no—
275#14519756C2311yescharacteristic
276#14519756C2311yescharacteristic
277#14519756C2311yescharacteristic
278#14519756C2311yescharacteristic
279#14519755—21no—
280#14519754—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#14519749—21no—
290#14519749—21no—
291#14519749—21no—
292#14519749—21no—
293#14519748—21no—
294#14519748—21no—
295#14519748C2311yescharacteristic
296#14519748C2311yescharacteristic
297#14519748C2311yescharacteristic
298#14519746—21no—
299#14519746—21no—
300C4×Dic122—21no—
301C4×Dic122—21no—
302C4×Dic122C2311yescharacteristic
303C4×Dic122C2311yescharacteristic
304C4×Dic122C2311yescharacteristic
305#14519742—21no—
306#14519742D411yescharacteristic
307#14519742C2311yescharacteristic
308#14519742C2311yescharacteristic
309#14519742C2311yescharacteristic
310D4×Dic61—21no—
311D4×Dic61—21no—
312D4×Dic61—21no—
313D4×Dic61—21no—
314D4×Dic61—21no—
315D4×Dic61—21no—
316D4×Dic61—21no—
317D4×Dic61—21no—
318D4×Dic61—21no—
319D4×Dic61—21no—
320D4×Dic61—21no—
321D4×Dic61—21no—
322D4×Dic61—21no—
323D4×Dic61D411yescharacteristic
324D4×Dic61C2311yescharacteristic
325D4×Dic61C2311yescharacteristic
326D4×Dic61C2311yescharacteristic
327D4×Dic61C2311yescharacteristic
328D4×Dic61C2311yescharacteristic
329D4×Dic61C2311yescharacteristic
330D4×Dic61C2311yescharacteristic
331D4×Dic61C2311yescharacteristic
332D4×Dic61C2311yescharacteristic
333C4×C22⋊D61—21no—
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61C2311yescharacteristic
337C4×C22⋊D61C2311yescharacteristic
338#14519737—21no—
339#14519737—21no—
340#14519737D411yescharacteristic
341#14519737D411yescharacteristic
342#14519736—21no—
343#14519736C2311yescharacteristic
344#14519735D411yescharacteristic
345#14519735C2311yescharacteristic
346#14519734—21no—
347#14519733—21no—
348#14519733—21no—
349#14519733—21no—
350#14519733—21no—
351#14519733—21no—
352#14519733—21no—
353#14519733D411yescharacteristic
354#14519733D411yescharacteristic
355C2×C4⋊Dic61—21no—
356C2×C4⋊Dic61—21no—
357C2×C4⋊Dic61C2311yescharacteristic
358C2×C4⋊Dic61C2311yescharacteristic
359C2×C4⋊Dic61C2311yescharacteristic
360C2×#11758196—21no—
361C2×#11758196—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61C2311yescharacteristic
365C4⋊C4×D61C2311yescharacteristic
366C2×C22⋊Dic61—21no—
367C2×C22⋊Dic61—21no—
368C2×C22⋊Dic61—21no—
369C2×C22⋊Dic61—21no—
370C2×C4×Dic61—21no—
371C2×C4×Dic61C2311yescharacteristic
372C2×C4×Dic61C2311yescharacteristic
373C42×D61C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C22×D4×C61—21no—
436C22×D4×C61C2311yescharacteristic
437C22×D4×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C2×D8×C61C2311yescharacteristic
441C2×M16×C61C2311yescharacteristic
442C22×C8×C61C2311yescharacteristic
443#127×C61C2311yescharacteristic
444#126×C61—21no—
445#125×C61C2311yescharacteristic
446#123×C61—21no—
447#121×C61—21no—
448#121×C61—21no—
449#121×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453#120×C61—21no—
454#120×C61—21no—
455C4×D4×C61—21no—
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459#117×C61C2311yescharacteristic
460C2×C4⋊C4×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#102×C61C2311yescharacteristic
466#102×C61C2311yescharacteristic
467#102×C61C2311yescharacteristic
468#102×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
478C24×C61—21no—
479C24×C61—21no—
480C2×D4×C61—22no—
481C2×D4×C61—22no—
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61—41no—
491C2×D4×C61—41no—
492C2×D4×C61—44no—
493C2×D4×C61C2×D411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C2×D4×C61C2411yescharacteristic
496C2×D4×C61C2411yescharacteristic
497C2×D4×C61C2411yescharacteristic
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61—21no—
501C22×C4×C61C2411yescharacteristic
502C22×C4×C61C2411yescharacteristic
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61C2×D411yescharacteristic
508C2×C22⋊D61C2×D411yescharacteristic
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61—82no—
523C22×Dic61—82no—
524C22×Dic61C2×D411yescharacteristic
525C22×Dic61C2×D411yescharacteristic
526C22×Dic61C2×D411yescharacteristic
527C22×Dic61C2×D411yescharacteristic
528#11758224—22no—
529#11758224—41no—
530#11758224—42no—
531#11758224—44no—
532#11758224—82no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2411yescharacteristic
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122C2×D411yescharacteristic
542C2×Dic122C2411yescharacteristic
543C2×Dic122C2411yescharacteristic
544D8×C61—22no—
545D8×C61—41no—
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×C61C2×D411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61C2×D411yescharacteristic
569C22⋊C4×C61C2×D411yescharacteristic
570C42×C61—21no—
571C42×C61C2411yescharacteristic
572C22⋊Dic61—21no—
573C22⋊Dic61—21no—
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⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61C2×D411yescharacteristic
596C22⋊Dic61C2×D411yescharacteristic
597#11758200—22no—
598#11758200—41no—
599#11758200—41no—
600#11758200—41no—
601#11758198—21no—
602#11758198—21no—
603#11758198C2×D411yescharacteristic
604#11758198C2×D411yescharacteristic
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61C2×D411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C4×Dic61C2411yescharacteristic
665C4×Dic61C2411yescharacteristic
666#11758194—41no—
667C2×#92418—41no—
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672Dic244—41no—
673#11758189—41no—
674#11758189—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61—21no—
679C23×C61—42no—
680C23×C61—42no—
681C23×C61—42no—
682C23×C61—42no—
683C23×C61—81no—
684C23×C61—81no—
685C23×C61C22×D411yescharacteristic
686C23×C61C22×D411yescharacteristic
687C22×D61C22×D411yescharacteristic
688D4×C61—22no—
689D4×C61—21no—
690D4×C61—21no—
691D4×C61—21no—
692D4×C61—21no—
693D4×C61—21no—
694D4×C61—21no—
695D4×C61—21no—
696D4×C61—42no—
697D4×C61—42no—
698D4×C61—42no—
699D4×C61—42no—
700D4×C61—42no—
701D4×C61—42no—
702D4×C61—81no—
703D4×C61—81no—
704D4×C612−1+412yes—
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—21no—
712C2×C4×C61—21no—
713C2×C4×C61—42no—
714C2×C4×C61—81no—
715C2×C4×C61—81no—
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C22×D411yescharacteristic
718C2×C4×C61C22×D411yescharacteristic
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C2511yescharacteristic
721C22⋊D61—22no—
722C22⋊D61—41no—
723C22⋊D61—42no—
724C22⋊D61—42no—
725C22⋊D61—81no—
726C22⋊D61—81no—
727C2×Dic61—22no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—41no—
737C2×Dic61—41no—
738C2×Dic61—41no—
739C2×Dic61—42no—
740C2×Dic61—42no—
741C2×Dic61—42no—
742C2×Dic61—42no—
743C2×Dic61—42no—
744C2×Dic61—42no—
745C2×Dic61—81no—
746C2×Dic61—81no—
747C2×Dic61—81no—
748C2×Dic61—81no—
749C2×Dic61—81no—
750C2×Dic61—81no—
751C2×Dic61—81no—
752C2×Dic61C22×D411yescharacteristic
753C2×Dic61C22×D411yescharacteristic
754C2×Dic61C22×D411yescharacteristic
755C2×Dic61C22×D411yescharacteristic
756C2×Dic61C22×D411yescharacteristic
757C2×Dic61C22×D411yescharacteristic
758C2×Dic61C22×D411yescharacteristic
759C4×D61—21no—
760C4×D61—21no—
761C4×D61—41no—
762C4×D61—41no—
763C4×D61—42no—
764C4×D61—81no—
765Dic122—21no—
766Dic122—21no—
767Dic122—21no—
768Dic122—21no—
769Dic122—41no—
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#62119—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—22no—
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×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—84no—
800C22×C61—84no—
801C22×C61#57512yes—
802C22×C61C23×D411yescharacteristic
803C2×D61—21no—
804C2×D61—21no—
805C2×D61—21no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61C2×2−1+411yescharacteristic
815C4×C61#58511yescharacteristic
816Dic61—21no—
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—41no—
830Dic61—41no—
831#3515—611no—
832#3481—611no—
833#3389—611no—
834#3388—611no—
835#3371—611no—
836#3370—611no—
837#3355—611no—
838#3351—611no—
839#3346—611no—
840#3346—611no—
841#3345—611no—
842#3344—611no—
843#3323—611no—
844#3322—611no—
845#3318D6111yescharacteristic, complemented
846#3314—611no—
847#3310—611no—
848#3306—611no—
849#3256—611no—
850#3251—611no—
851#3250—611no—
852#3240—611no—
853#3234—611no—
854#3232—611no—
855#3114—611no—
856#3111—611no—
857#3105—611no—
858#3080—611no—
859#3077—611no—
860C2×#478—611no—
861#2989—611no—
862C2×C61—22no—
863C2×C61—41no—
864C2×C61—42no—
865C2×C61—81no—
866C2×C61—81no—
867C2×C61—81no—
868C2×C61#348911yescharacteristic
869C2×C61C2×#57511yescharacteristic
870C2×C61#358511yescharacteristic
871D61—41no—
872#559—611no—
873#557—611no—
874#554—611no—
875#554—611no—
876#554—611no—
877#554—611no—
878#553—611no—
879#553—611no—
880#553—611no—
881#553—1221no—
882#553C2×D6111yescharacteristic
883#552—611no—
884#552—611no—
885#552—1221no—
886#552—1221no—
887#552—1221no—
888#551—1221no—
889#551—1221no—
890#547—611no—
891#547—1221no—
892#546—611no—
893#546—611no—
894#546—1221no—
895D42C2×D6111yescharacteristic
896#541—1221no—
897#539—1221no—
898#539—1221no—
899#533—611no—
900#532—611no—
901#529—611no—
902#529—611no—
903#529—611no—
904#529—611no—
905#529—611no—
906#529—1221no—
907C2×#125—611no—
908C2×#125—611no—
909#525—1221no—
910#525—1221no—
911#520—1221no—
912C4×#41—611no—
913C4×#41—611no—
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—1221no—
917#501—611no—
918#501—611no—
919#501—611no—
920#501—611no—
921#499—611no—
922#499—611no—
923#490—611no—
924#490C2×D6111yescharacteristic
925#489—611no—
926#489—611no—
927#488—611no—
928#488—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#484—611no—
933#484—611no—
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482C2×D6111yescharacteristic
939#481—611no—
940#481—611no—
941#481—611no—
942#481C2×D6111yescharacteristic
943#480—611no—
944#480—611no—
945#480—611no—
946#480—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478—611no—
962#478—611no—
963#478—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478—611no—
970#478C2×D6111yescharacteristic
971#476—611no—
972#476—611no—
973#475—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#470—611no—
978#469—611no—
979#469—611no—
980#469C2×D6111yescharacteristic
981#468—611no—
982#468—611no—
983#468—611no—
984#468—611no—
985#467—611no—
986#466C2×D6111yescharacteristic
987#465—611no—
988#465—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#463—611no—
993#463—611no—
994#463—611no—
995#463—611no—
996#463—611no—
997#460—611no—
998#459C2×D6111yescharacteristic
999#452—611no—
1000#450—611no—
1001#450—611no—
1002#449—611no—
1003#447C2×D6111yescharacteristic
1004#447C2×D6111yescharacteristic
1005#446—611no—
1006#446—611no—
1007#442—611no—
1008#442—611no—
1009#442C2×D6111yescharacteristic
1010#441—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×D8—611no—
1018C4×D8—611no—
1019#436—611no—
1020#436—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#435C2×D6111yescharacteristic
1025#432—611no—
1026#432—611no—
1027#431—611no—
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#428—611no—
1032C2×#107—611no—
1033C2×#106—611no—
1034#423—611no—
1035#423—611no—
1036C2×C4⋊C8—611no—
1037#418—611no—
1038#418C2×D6111yescharacteristic
1039#417—611no—
1040#417—611no—
1041C2×#102—611no—
1042C2×#102C2×D6111yescharacteristic
1043C61#6211911yescharacteristic, complemented, Sylow
1044C2×#41—611no—
1045C2×#41—611no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C22×D4—21no—
1049C22×D4C22×D6111yescharacteristic
1050C22×D4C22×D6111yescharacteristic
1051C23×C4—1221no—
1052C23×C4—1221no—
1053C2×Q16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16—611no—
1057C2×SD16—611no—
1058C2×D8C22×D6111yescharacteristic
1059C2×D8C22×D6111yescharacteristic
1060C2×D8C22×D6111yescharacteristic
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16—611no—
1064C2×M16C22×D6111yescharacteristic
1065C22×C8—611no—
1066C22×C8C22×D6111yescharacteristic
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—1221no—
1071#127C22×D6111yescharacteristic
1072#126—21no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—611no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#125—1221no—
1100#125—1221no—
1101#125C22×D6111yescharacteristic
1102#124—611no—
1103#124—611no—
1104#124—611no—
1105#124—1221no—
1106#124—1221no—
1107#123—21no—
1108#123—1221no—
1109#123—1221no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124C22⋊Q8—611no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—611no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142#121—21no—
1143#121—21no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121C22×D6111yescharacteristic
1154#121C22×D6111yescharacteristic
1155#121C22×D6111yescharacteristic
1156#121C22×D6111yescharacteristic
1157#120—21no—
1158#120—21no—
1159#120—1221no—
1160#120—1221no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—611no—
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—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
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#117C22×D6111yescharacteristic
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
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⋊C4—1221no—
1232C2×C4⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C22⋊C4—1221no—
1236C2×C22⋊C4—1221no—
1237C2×C42—611no—
1238C2×C42—611no—
1239C2×C42—611no—
1240C2×C42—1221no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107—611no—
1250#107—611no—
1251#107—611no—
1252#107C22×D6111yescharacteristic
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106—611no—
1262#106—611no—
1263#106C22×D6111yescharacteristic
1264#106C22×D6111yescharacteristic
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⋊C8—611no—
1274C4⋊C8C22×D6111yescharacteristic
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#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102C22×D6111yescharacteristic
1298#102C22×D6111yescharacteristic
1299#102C22×D6111yescharacteristic
1300#102C22×D6111yescharacteristic
1301#102C22×D6111yescharacteristic
1302#102C22×D6111yescharacteristic
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305#102C22×D6111yescharacteristic
1306#102C22×D6111yescharacteristic
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8C22×D6111yescharacteristic
1312C22⋊C8C22×D6111yescharacteristic
1313#97—611no—
1314#97—611no—
1315#97—611no—
1316#97C22×D6111yescharacteristic
1317C4×C8—611no—
1318C4×C8—611no—
1319C24—21no—
1320C24—21no—
1321#41—1222no—
1322#41—4882no—
1323#41—2442no—
1324#41—2441no—
1325#41—2444no—
1326C2×Q8—611no—
1327C2×Q8—611no—
1328C2×Q8—611no—
1329C2×Q8—1221no—
1330C2×Q8—1221no—
1331C2×Q8—1221no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—44no—
1345C2×D4—611no—
1346C2×D4—611no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4D4×D6111yescharacteristic
1352C2×D4C23×D6111yescharacteristic
1353C2×D4C23×D6111yescharacteristic
1354C2×D4C23×D6111yescharacteristic
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
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—4882no—
1382C22×C4—4882no—
1383C22×C4C23×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385Q16—2441no—
1386SD16—1222no—
1387SD16—2441no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—22no—
1391D8—41no—
1392D8—41no—
1393M16—41no—
1394M16—2441no—
1395M16—2441no—
1396M16—2441no—
1397C2×C8—41no—
1398C2×C8—611no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—2441no—
1403C2×C8C23×D6111yescharacteristic
1404C2×C8C23×D6111yescharacteristic
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
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⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4D4×D6111yescharacteristic
1456C4⋊C4C23×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C4⋊C4C23×D6111yescharacteristic
1459C4⋊C4C23×D6111yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—611no—
1468C22⋊C4—611no—
1469C22⋊C4—611no—
1470C22⋊C4—611no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4D4×D6111yescharacteristic
1497C22⋊C4D4×D6111yescharacteristic
1498C42—21no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—611no—
1506C42—611no—
1507C42—611no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42—1221no—
1514C42—1221no—
1515C42C23×D6111yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—42no—
1521C23—42no—
1522C23—42no—
1523C23—42no—
1524C23—81no—
1525C23—81no—
1526C23—611no—
1527C23C2×D4×D6111yescharacteristic
1528C23C2×D4×D6111yescharacteristic
1529Q8—1221no—
1530Q8—1221no—
1531Q8—1221no—
1532Q8—1221no—
1533Q8—4881no—
1534Q8—4881no—
1535Q8—2441no—
1536Q8—2442no—
1537D4—22no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—21no—
1545D4—42no—
1546D4—42no—
1547D4—42no—
1548D4—42no—
1549D4—42no—
1550D4—42no—
1551D4—81no—
1552D4—81no—
1553D4—1222no—
1554D4—4881no—
1555D4—4881no—
1556D4—2441no—
1557D4—2442no—
1558D4—2442no—
1559D4#1451982412yes—
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—42no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—611no—
1572C2×C4—611no—
1573C2×C4—611no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—1222no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—4881no—
1590C2×C4—4881no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—2441no—
1598C2×C4—2441no—
1599C2×C4—2442no—
1600C2×C4—2441no—
1601C2×C4—2441no—
1602C2×C4—2441no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4—2442no—
1607C2×C4—2442no—
1608C2×C4—2442no—
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C2×D4×D6111yescharacteristic
1613C2×C4C24×D6111yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C8—1221no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—22no—
1626C22—21no—
1627C22—21no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—84no—
1640C22—84no—
1641C22—1221no—
1642C22—1221no—
1643C22—1221no—
1644C22#1684055812yes—
1645C22C22×D4×D6111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—1221no—
1655C4—1221no—
1656C4—1221no—
1657C4—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—2441no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C4C2×#1451982411yescharacteristic
1670C4#1684059711yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—42no—
1674C2—81no—
1675C2—81no—
1676C2—81no—
1677C2—2441no—
1678C2#2145949011yescharacteristic
1679C2C2×#1684055811yescharacteristic
1680C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3318C2
socleC22×C61C23×D4
hypercenter#3318D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #21459790C2semidirect
2. #21459420C2semidirect
3. #21458778C2semidirect
4. #21458761C2semidirect
5. #21458582C2semidirect
6. #21458565C2semidirect
7. #21458420C2semidirect
8. #21458372C2semidirect
9. #21458304C2semidirect
10. #21458302C2semidirect
11. #21458295C2semidirect
12. #21458276C2semidirect
13. #21458031C2semidirect
14. #21458024C2semidirect
15. #21457896C2semidirect
16. #21457840C2semidirect
17. #21457784C2semidirect
18. #21457214C2semidirect
19. #21457177C2semidirect
20. #21457165C2semidirect
21. #21457057C2semidirect
22. #21457004C2semidirect
23. #21456986C2semidirect
24. #21455952C2semidirect
25. #21455924C2semidirect
26. #21455861C2semidirect
27. #21455636C2semidirect
28. #21455613C2semidirect
29. C2×#16840064C2semidirect
30. #21454931C2semidirect
31. C61×#3318C2semidirect
33. #16840489C22semidirect
34. #16840471C22semidirect
37. #16840467C22semidirect
41. #16840459C22semidirect
44. #16840451C22semidirect
50. #16840412C22semidirect
57. #16840315C22semidirect
59. #16840294C22semidirect
63. #16840293C22semidirect
64. #16840293C22semidirect
65. C2×#14519768C22semidirect
66. #125×D61C22semidirect
75. #16840172C22semidirect
76. #16840171C22semidirect
77. #16840170C22semidirect
78. #16840169C22semidirect
79. #16840162C22semidirect
80. #16840162C22semidirect
82. #16840120C22semidirect
83. #16840120C22semidirect
84. #16840115C22semidirect
85. #16840115C22semidirect
86. #16840106C22semidirect
87. #16840104C22semidirect
88. #16840103C22semidirect
89. #16840098C22semidirect
90. #16840097C22semidirect
91. #16840093C22semidirect
92. #16840093C22semidirect
93. #16840085C22semidirect
95. #16840079C22semidirect
96. #16840079C22semidirect
97. #16840078C22semidirect
98. #16840074C22semidirect
99. #16840074C22semidirect
101. #16840073C22semidirect
102. #16840072C22semidirect
103. #16840072C22semidirect
104. #16840072C22semidirect
105. #16840070C22semidirect
106. #16840068C22semidirect
107. #16840068C22semidirect
108. #16840066C22semidirect
113. #16840064C22semidirect
114. #16840064C22semidirect
115. #16840064C22semidirect
116. #16840064C22semidirect
117. #16840064C22semidirect
118. #16840064C22semidirect
119. #16840064C22semidirect
122. #16840060C22semidirect
123. #16840060C22semidirect
124. #16840060C22semidirect
126. #16840050C22semidirect
127. #16840048C22semidirect
128. #16840042C22semidirect
130. #16840040C22semidirect
131. #16840020C22semidirect
132. #16840012C22semidirect
133. #16840012C22semidirect
134. #16840007C22semidirect
135. #16840007C22semidirect
137. #16840006C22semidirect
138. #16840003C22semidirect
140. #16839989C22semidirect
141. #16839983C22semidirect
142. #16839983C22semidirect
143. #16839983C22semidirect
145. #16839975C22semidirect
146. #16839975C22semidirect
147. #16839975C22semidirect
148. #16839975C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
157. #16839874C22semidirect
158. #16839870C22semidirect
160. #16839862C22semidirect
162. #16839859C22semidirect
164. #16839853C22semidirect
166. D8×Dic61C22semidirect
167. #16839838C22semidirect
168. #16839837C22semidirect
170. #16839833C22semidirect
171. #16839830C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839805C22semidirect
176. #16839804C22semidirect
177. #16839803C22semidirect
178. #16839801C22semidirect
179. C2×#14519710C22semidirect
180. C2×#14519709C22semidirect
181. #16839785C22semidirect
182. #16839784C22semidirect
183. C2×#14519706C22semidirect
845. #3318D61semidirect
1043. C61#62119semidirect

Maximal subgroups

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

subgroupindex
#214597902
#214594202
#214587782
#214587612
#214585822
#214585652
#214584202
#214583722
#214583042
#214583022
#214582952
#214582762
#214580312
#214580242
#214578962
#214578402
#214577842
#214572142
#214571772
#214571652
#214570572
#214570042
#214569862
#214559522
#214559242
#214558612
#214556362
#214556132
C2×#168400642
#214549312
C61×#33182
#6211961