Finite Group Databasebeta

← #31728280

Subgroups — #31728280

Order 17152.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22573939C211yesmaximal, characteristic
2#22573612C211yesmaximal, characteristic, complemented
3#22571510C211yesmaximal, characteristic, complemented
4#22571506C211yesmaximal, characteristic, complemented
5#22571495C211yesmaximal, characteristic, complemented
6#22571491C211yesmaximal, characteristic, complemented
7#22571467C211yesmaximal, characteristic, complemented
8#22571459C211yesmaximal, characteristic, complemented
9#22571455C211yesmaximal, characteristic, complemented
10#22571455C211yesmaximal, characteristic, complemented
11#22571449C211yesmaximal, characteristic, complemented
12#22571447C211yesmaximal, characteristic, complemented
13#22571404C211yesmaximal, characteristic, complemented
14#22571403C211yesmaximal, characteristic, complemented
15#22571390C211yesmaximal, characteristic, complemented
16#22571385C211yesmaximal, characteristic, complemented
17#22571343C211yesmaximal, characteristic, complemented
18#22570742C211yesmaximal, characteristic, complemented
19#22570734C211yesmaximal, characteristic, complemented
20#22570558C211yesmaximal, characteristic, complemented
21#22570558C211yesmaximal, characteristic, complemented
22#22570148C211yesmaximal, characteristic, complemented
23#22570137C211yesmaximal, characteristic, complemented
24#22570121C211yesmaximal, characteristic, complemented
25#482×D67C211yesmaximal, characteristic, complemented
26#22570072C211yesmaximal, characteristic, complemented
27#22570061C211yesmaximal, characteristic, complemented
28#22570039C211yesmaximal, characteristic, complemented
29#22570037C211yesmaximal, characteristic, complemented
30#22568862C211yesmaximal, characteristic, complemented
31C67×#3228C211yesmaximal, characteristic, complemented
32#16864108—21no—
33#16864095—21no—
34#16864089—21no—
35#16864076—21no—
36#16864075—21no—
37#16864045—21no—
38#16864035—21no—
39#16864034—21no—
40#16864026C2211yescharacteristic
41#16864026C2211yescharacteristic
42#16864026C2211yescharacteristic, complemented
43#16864026C2211yescharacteristic, complemented
44#16864025—21no—
45#16864025—21no—
46#16864023C2211yescharacteristic
47#16864023C2211yescharacteristic
48#16864023C2211yescharacteristic
49#16864023C2211yescharacteristic, complemented
50#16864023C2211yescharacteristic, complemented
51#16864021—21no—
52#16864021—21no—
53#16864020C2211yescharacteristic
54#16864011C2211yescharacteristic
55#16864000C2211yescharacteristic
56#16863997C2211yescharacteristic
57#16863959C2211yescharacteristic
58#16863953C2211yescharacteristic, complemented
59#16863950—21no—
60#16863950—21no—
61#16863950—21no—
62#16863950—21no—
63#16863949C2211yescharacteristic, complemented
64#16863949C2211yescharacteristic, complemented
65#16863941C2211yescharacteristic
66#16863930C2211yescharacteristic
67#16863927C2211yescharacteristic
68#16863906C2211yescharacteristic
69#121×D67C2211yescharacteristic
70#16863875C2211yescharacteristic
71#16863868C2211yescharacteristic
72C2×#14524000C2211yescharacteristic
73#117×D67C2211yescharacteristic
74#117×D67C2211yescharacteristic
75#16863804C2211yescharacteristic, complemented
76#16863804C2211yescharacteristic, complemented
77#16863803C2211yescharacteristic, complemented
78#16863803C2211yescharacteristic, complemented
79#16863802C2211yescharacteristic, complemented
80#16863802C2211yescharacteristic, complemented
81#16863802C2211yescharacteristic, complemented
82#16863802C2211yescharacteristic, complemented
83#16863800C2211yescharacteristic, complemented
84#16863798C2211yescharacteristic, complemented
85#16863798C2211yescharacteristic, complemented
86#16863797C2211yescharacteristic, complemented
87#16863796C2211yescharacteristic, complemented
88#16863793C2211yescharacteristic, complemented
89#16863760C2211yescharacteristic, complemented
90#16863760C2211yescharacteristic, complemented
91#16863759C2211yescharacteristic, complemented
92#16863759C2211yescharacteristic, complemented
93#16863758C2211yescharacteristic, complemented
94#16863758C2211yescharacteristic, complemented
95#16863754C2211yescharacteristic, complemented
96#16863754C2211yescharacteristic, complemented
97#16863751C2211yescharacteristic, complemented
98#16863751C2211yescharacteristic, complemented
99#16863749C2211yescharacteristic, complemented
100#16863749C2211yescharacteristic, complemented
101#16863741C2211yescharacteristic, complemented
102#16863741C2211yescharacteristic, complemented
103#16863740C2211yescharacteristic, complemented
104#16863739C2211yescharacteristic, complemented
105#16863738C2211yescharacteristic, complemented
106#16863738C2211yescharacteristic, complemented
107#16863737C2211yescharacteristic, complemented
108#16863737C2211yescharacteristic, complemented
109#16863733C2211yescharacteristic, complemented
110#16863728C2211yescharacteristic, complemented
111#16863723C2211yescharacteristic
112#16863722C2211yescharacteristic
113#16863721C2211yescharacteristic
114#16863721C2211yescharacteristic
115#16863720C2211yescharacteristic
116#16863720C2211yescharacteristic
117#16863719C2211yescharacteristic
118#16863719C2211yescharacteristic, complemented
119#16863718C2211yescharacteristic
120#16863718C2211yescharacteristic, complemented
121#16863717C2211yescharacteristic
122#16863717C2211yescharacteristic
123#16863717C2211yescharacteristic, complemented
124#16863717C2211yescharacteristic, complemented
125#16863716C2211yescharacteristic
126#16863713C2211yescharacteristic
127#16863713C2211yescharacteristic, complemented
128#16863711C2211yescharacteristic
129#16863708C2211yescharacteristic
130#16863708C2211yescharacteristic, complemented
131#16863706C2211yescharacteristic, complemented
132#16863702C2211yescharacteristic, complemented
133#16863700C2211yescharacteristic, complemented
134#16863700C2211yescharacteristic, complemented
135#16863699C2211yescharacteristic, complemented
136#16863698C2211yescharacteristic, complemented
137#16863698C2211yescharacteristic, complemented
138#16863695C2211yescharacteristic, complemented
139#16863694C2211yescharacteristic, complemented
140#16863694C2211yescharacteristic, complemented
141#16863693C2211yescharacteristic, complemented
142#16863693C2211yescharacteristic, complemented
143#16863692C2211yescharacteristic, complemented
144#16863690C2211yescharacteristic, complemented
145#16863687C2211yescharacteristic, complemented
146#16863686C2211yescharacteristic, complemented
147#16863686C2211yescharacteristic, complemented
148#16863685C2211yescharacteristic, complemented
149#16863684C2211yescharacteristic, complemented
150#16863684C2211yescharacteristic, complemented
151#16863682C2211yescharacteristic, complemented
152#16863680C2211yescharacteristic, complemented
153#16863677C2211yescharacteristic, complemented
154#16863676C2211yescharacteristic, complemented
155#16863676C2211yescharacteristic, complemented
156#16863675C2211yescharacteristic, complemented
157#16863674C2211yescharacteristic, complemented
158#16863674C2211yescharacteristic, complemented
159#16863456C2211yescharacteristic, complemented
160#16863456C2211yescharacteristic, complemented
161#16863455C2211yescharacteristic, complemented
162#16863455C2211yescharacteristic, complemented
163#16863453C2211yescharacteristic, complemented
164#16863450C2211yescharacteristic, complemented
165#16863446C2211yescharacteristic, complemented
166#16863437C2211yescharacteristic
167#16863437C2211yescharacteristic
168#16863435C2211yescharacteristic
169#16863435C2211yescharacteristic
170#16863433C2211yescharacteristic
171#16863431C2211yescharacteristic
172#107×D67C2211yescharacteristic
173#106×D67C2211yescharacteristic
174#16863421C2211yescharacteristic
175#16863421C2211yescharacteristic
176#16863399C2211yescharacteristic
177#16863399C2211yescharacteristic
178#16863394C2211yescharacteristic
179#16863394C2211yescharacteristic
180#16863389C2211yescharacteristic
181#16863389C2211yescharacteristic
182#102×D67C2211yescharacteristic
183#102×D67C2211yescharacteristic
184#16863358C2211yescharacteristic
185C22⋊C8×D67C2211yescharacteristic
186#16863350C2211yescharacteristic
187#16863350C2211yescharacteristic
188#533×C67C2211yescharacteristic, complemented
189#532×C67C2211yescharacteristic
190#500×C67C2211yescharacteristic, complemented
191#498×C67C2211yescharacteristic, complemented
192#486×C67C2211yescharacteristic, complemented
193#486×C67C2211yescharacteristic, complemented
194#482×C67C2211yescharacteristic
195#482×C67C2211yescharacteristic
196#482×C67C2211yescharacteristic, complemented
197#482×C67C2211yescharacteristic, complemented
198#478×C67C2211yescharacteristic, complemented
199#478×C67C2211yescharacteristic, complemented
200#478×C67C2211yescharacteristic, complemented
201#478×C67C2211yescharacteristic, complemented
202#431×C67C2211yescharacteristic, complemented
203C2×#11761627—21no—
204C2×#11761627C2311yescharacteristic
205C2×D4×D67—21no—
206C2×D4×D67C2311yescharacteristic
207C22×C4×D67C2311yescharacteristic
208C2×#11761611C2311yescharacteristic
209C2×#11761611C2311yescharacteristic
210C2×C8×D67C2311yescharacteristic
211C2×C8×D67C2311yescharacteristic
212#14524043C2311yescharacteristic
213#14524043C2311yescharacteristic
214#14524042—21no—
215#14524042—21no—
216#14524042—21no—
217#14524042—21no—
218#14524042C2311yescharacteristic
219#14524042C2311yescharacteristic
220#14524042C2311yescharacteristic
221#14524042C2311yescharacteristic
222#14524042C2311yescharacteristic
223#14524041—21no—
224#14524041—21no—
225#14524041—21no—
226#14524041—21no—
227#14524041—21no—
228#14524039C2311yescharacteristic
229#14524038—21no—
230#14524037—21no—
231#14524036—21no—
232#14524036—21no—
233#14524035C2311yescharacteristic
234#14524035C2311yescharacteristic
235#14524035C2311yescharacteristic
236#14524034C2311yescharacteristic
237#14524034C2311yescharacteristic
238#14524034C2311yescharacteristic
239#14524034C2311yescharacteristic
240#14524034C2311yescharacteristic
241#14524033—21no—
242#14524033—21no—
243#14524033—21no—
244#14524033—21no—
245#14524033—21no—
246#14524033—21no—
247#14524033—21no—
248#14524033—21no—
249#14524033—21no—
250#14524032—21no—
251#14524031C2311yescharacteristic
252#14524030C2311yescharacteristic
253#14524029—21no—
254#14524029—21no—
255#14524028—21no—
256#14524026—21no—
257#14524026—21no—
258#14524026—21no—
259#14524025—21no—
260#14524025—21no—
261#14524024—21no—
262#14524024—21no—
263#14524024—21no—
264#14524023—21no—
265#14524023—21no—
266#14524023—21no—
267#14524023—21no—
268#14524023C2311yescharacteristic
269#14524022—21no—
270#14524022—21no—
271#14524022—21no—
272#14524022C2311yescharacteristic
273#14524021—21no—
274#14524021—21no—
275#14524021—21no—
276#14524021—21no—
277#14524021—21no—
278#14524021—21no—
279#14524021—21no—
280#14524021—21no—
281#14524021—21no—
282#14524020—21no—
283#14524020—21no—
284#14524020—21no—
285#14524020—21no—
286#14524019—21no—
287#14524019—21no—
288#14524019—21no—
289#14524019—21no—
290#14524019—21no—
291#14524019—21no—
292#14524018C2311yescharacteristic
293#14524017—21no—
294#14524017C2311yescharacteristic
295#14524016—21no—
296#14524016—21no—
297#14524015—21no—
298#14524015—21no—
299#14524015—21no—
300#14524015—21no—
301#14524015—21no—
302#14524015—21no—
303#14524014C2311yescharacteristic
304#14524014C2311yescharacteristic
305#14524011—21no—
306#14524011—21no—
307#14524011—21no—
308C4×Dic134—21no—
309C4×Dic134—21no—
310C4×Dic134—21no—
311C4×Dic134—21no—
312C4×Dic134—21no—
313C4×Dic134—21no—
314C4×Dic134C2311yescharacteristic
315#14524008C2311yescharacteristic
316C4×D268C2311yescharacteristic
317D4×Dic67—21no—
318D4×Dic67—21no—
319D4×Dic67C2311yescharacteristic
320D4×Dic67C2311yescharacteristic
321#14524005C2311yescharacteristic
322C4×C22⋊D67—21no—
323C4×C22⋊D67—21no—
324C4×C22⋊D67—21no—
325(C22⋊D67)⋊C4—21no—
326(C22⋊D67)⋊C4—21no—
327(C22⋊D67)⋊C4—21no—
328(C22⋊D67)⋊C4—21no—
329#14524002C2311yescharacteristic
330#14524002C2311yescharacteristic
331#14524001C2311yescharacteristic
332#14524001C2311yescharacteristic
333#14524001C2311yescharacteristic
334#14524001C2311yescharacteristic
335#14524001C2311yescharacteristic
336#14524000—21no—
337#14524000—21no—
338#14524000—21no—
339#14524000D411yescharacteristic
340#14524000D411yescharacteristic
341#14524000D411yescharacteristic
342#14524000D411yescharacteristic
343#14524000C2311yescharacteristic
344#14524000C2311yescharacteristic
345#14524000C2311yescharacteristic
346#14524000C2311yescharacteristic
347#14523999—21no—
348#14523999—21no—
349#14523999—21no—
350#14523999—21no—
351C2×Dic67⋊C4—21no—
352C2×Dic67⋊C4D411yescharacteristic
353C2×Dic67⋊C4D411yescharacteristic
354C4⋊C4×D67C2311yescharacteristic
355C4⋊C4×D67C2311yescharacteristic
356C4⋊C4×D67C2311yescharacteristic
357C4⋊C4×D67C2311yescharacteristic
358C4⋊C4×D67C2311yescharacteristic
359C2×(C2×D67)⋊C4—21no—
360C2×(C2×D67)⋊C4D411yescharacteristic
361C2×(C2×D67)⋊C4D411yescharacteristic
362C22⋊C4×D67—21no—
363C22⋊C4×D67—21no—
364C22⋊C4×D67—21no—
365C22⋊C4×D67—21no—
366C2×C4×Dic67C2311yescharacteristic
367C42×D67—21no—
368C42×D67—21no—
369#14523977C2311yescharacteristic
370#14523977C2311yescharacteristic
371#14523977C2311yescharacteristic
372#14523977C2311yescharacteristic
373#14523976C2311yescharacteristic
374#14523976C2311yescharacteristic
375#14523976C2311yescharacteristic
376#14523976C2311yescharacteristic
377#14523976C2311yescharacteristic
378#14523976C2311yescharacteristic
379#14523976C2311yescharacteristic
380#14523976C2311yescharacteristic
381#14523975C2311yescharacteristic
382#14523975C2311yescharacteristic
383#14523975C2311yescharacteristic
384#14523975C2311yescharacteristic
385#14523974C2311yescharacteristic
386#14523974C2311yescharacteristic
387#14523974C2311yescharacteristic
388#14523974C2311yescharacteristic
389#14523974C2311yescharacteristic
390#14523974C2311yescharacteristic
391#14523974C2311yescharacteristic
392#14523974C2311yescharacteristic
393C4⋊(C67⋊C8)C2311yescharacteristic
394C4⋊(C67⋊C8)C2311yescharacteristic
395Dic67⋊C8C2311yescharacteristic
396Dic67⋊C8C2311yescharacteristic
397Dic67⋊C8C2311yescharacteristic
398Dic67⋊C8C2311yescharacteristic
399#14523968C2311yescharacteristic
400#14523968C2311yescharacteristic
401#14523968C2311yescharacteristic
402#14523968C2311yescharacteristic
403#14523966C2311yescharacteristic
404#14523966C2311yescharacteristic
405#14523966C2311yescharacteristic
406#14523966C2311yescharacteristic
407#14523965C2311yescharacteristic
408#14523965C2311yescharacteristic
409#14523965C2311yescharacteristic
410#14523965C2311yescharacteristic
411#14523964C2311yescharacteristic
412#14523964C2311yescharacteristic
413#14523964C2311yescharacteristic
414#14523964C2311yescharacteristic
415#14523964C2311yescharacteristic
416#14523964C2311yescharacteristic
417#14523964C2311yescharacteristic
418#14523964C2311yescharacteristic
419#14523963C2311yescharacteristic
420#14523963C2311yescharacteristic
421#14523963C2311yescharacteristic
422#14523963C2311yescharacteristic
423C22⋊(C67⋊C8)C2311yescharacteristic
424C22⋊(C67⋊C8)C2311yescharacteristic
425(C2×D67)⋊C8C2311yescharacteristic
426(C2×D67)⋊C8C2311yescharacteristic
427(C2×D67)⋊C8C2311yescharacteristic
428(C2×D67)⋊C8C2311yescharacteristic
429#14523954C2311yescharacteristic
430#14523954C2311yescharacteristic
431#14523953C2311yescharacteristic
432#14523953C2311yescharacteristic
433C8×Dic67C2311yescharacteristic
434C8×Dic67C2311yescharacteristic
435C2×#41×C67—21no—
436C4⋊Q8×C67C2311yescharacteristic
437C4⋊Q8×C67C2311yescharacteristic
438C4⋊Q8×C67C2311yescharacteristic
439#127×C67C2311yescharacteristic
440#125×C67C2311yescharacteristic
441#125×C67C2311yescharacteristic
442#124×C67—21no—
443C22⋊Q8×C67—21no—
444C22⋊Q8×C67—21no—
445#121×C67—21no—
446#121×C67C2311yescharacteristic
447#121×C67C2311yescharacteristic
448C4×Q8×C67—21no—
449C4×Q8×C67—21no—
450C4×D4×C67—21no—
451C4×D4×C67C2311yescharacteristic
452C4×D4×C67C2311yescharacteristic
453#117×C67C2311yescharacteristic
454#117×C67C2311yescharacteristic
455C2×C42×C67C2311yescharacteristic
456#107×C67C2311yescharacteristic
457#107×C67C2311yescharacteristic
458#107×C67C2311yescharacteristic
459#107×C67C2311yescharacteristic
460#106×C67C2311yescharacteristic
461#106×C67C2311yescharacteristic
462#106×C67C2311yescharacteristic
463#106×C67C2311yescharacteristic
464C4⋊C8×C67C2311yescharacteristic
465C4⋊C8×C67C2311yescharacteristic
466#102×C67C2311yescharacteristic
467#102×C67C2311yescharacteristic
468#102×C67C2311yescharacteristic
469#102×C67C2311yescharacteristic
470#102×C67C2311yescharacteristic
471#102×C67C2311yescharacteristic
472#102×C67C2311yescharacteristic
473#102×C67C2311yescharacteristic
474C22⋊C8×C67C2311yescharacteristic
475C22⋊C8×C67C2311yescharacteristic
476C4×C8×C67C2311yescharacteristic
477C4×C8×C67C2311yescharacteristic
478C23×D67—21no—
479C23×D67C2×D411yescharacteristic
480#11761627—22no—
481#11761627—22no—
482#11761627—82no—
483C2×Dic134—21no—
484C2×Dic134—21no—
485C2×Dic134—21no—
486C2×Dic134—21no—
487C2×Dic134—21no—
488C2×Dic134—21no—
489C2×Dic134—21no—
490C2×Dic134C2411yescharacteristic
491C2×D268—21no—
492C2×D268C2411yescharacteristic
493C2×C22⋊D67—21no—
494C2×C22⋊D67—21no—
495C2×C22⋊D67—21no—
496C2×C22⋊D67—21no—
497C2×C22⋊D67—21no—
498C2×C22⋊D67—21no—
499C2×C22⋊D67—21no—
500D4×D67—22no—
501D4×D67—22no—
502D4×D67—82no—
503C22×Dic67—21no—
504C22×Dic67—21no—
505C22×Dic67—21no—
506C22×Dic67C2×D411yescharacteristic
507C22×Dic67C2×D411yescharacteristic
508C22×Dic67C2×D411yescharacteristic
509C2×C4×D67—22no—
510C2×C4×D67—22no—
511C2×C4×D67—21no—
512C2×C4×D67—21no—
513C2×C4×D67—21no—
514C2×C4×D67—21no—
515C2×C4×D67—21no—
516C2×C4×D67—21no—
517C2×C4×D67—21no—
518C2×C4×D67C2×D411yescharacteristic
519C2×C4×D67C2×D411yescharacteristic
520C2×C4×D67C2411yescharacteristic
521C2×C4×D67C2411yescharacteristic
522#11761611—22no—
523#11761611—22no—
524C2×C67⋊C8C2411yescharacteristic
525C2×C67⋊C8C2411yescharacteristic
526C2×C67⋊C8C2411yescharacteristic
527C2×C67⋊C8C2411yescharacteristic
528C8×D67—22no—
529C8×D67—22no—
530C4⋊Dic67—21no—
531C4⋊Dic67—21no—
532C4⋊Dic67—21no—
533C4⋊Dic67—21no—
534C4⋊Dic67—21no—
535C4⋊Dic67—21no—
536C4⋊Dic67—21no—
537C4⋊Dic67—21no—
538C4⋊Dic67C2411yescharacteristic
539C4⋊Dic67C2411yescharacteristic
540C4⋊Dic67C2411yescharacteristic
541C4⋊Dic67C2411yescharacteristic
542C4⋊Dic67C2411yescharacteristic
543C4⋊Dic67C2411yescharacteristic
544Dic67⋊C4—21no—
545Dic67⋊C4—21no—
546Dic67⋊C4—21no—
547Dic67⋊C4—21no—
548Dic67⋊C4—21no—
549Dic67⋊C4—21no—
550Dic67⋊C4—21no—
551Dic67⋊C4—21no—
552Dic67⋊C4—21no—
553Dic67⋊C4—21no—
554Dic67⋊C4—21no—
555Dic67⋊C4—21no—
556Dic67⋊C4—21no—
557Dic67⋊C4—21no—
558Dic67⋊C4—21no—
559Dic67⋊C4—21no—
560Dic67⋊C4—21no—
561Dic67⋊C4—21no—
562Dic67⋊C4—21no—
563Dic67⋊C4—21no—
564Dic67⋊C4—21no—
565Dic67⋊C4—21no—
566Dic67⋊C4—21no—
567Dic67⋊C4—21no—
568Dic67⋊C4C2×D411yescharacteristic
569Dic67⋊C4C2×D411yescharacteristic
570Dic67⋊C4C2×D411yescharacteristic
571Dic67⋊C4C2×D411yescharacteristic
572Dic67⋊C4C2×D411yescharacteristic
573Dic67⋊C4C2×D411yescharacteristic
574Dic67⋊C4C2×D411yescharacteristic
575Dic67⋊C4C2×D411yescharacteristic
576C22⋊Dic67—21no—
577C22⋊Dic67—21no—
578C22⋊Dic67—21no—
579C22⋊Dic67—21no—
580C22⋊Dic67—21no—
581C22⋊Dic67—21no—
582C22⋊Dic67—21no—
583C22⋊Dic67—21no—
584C22⋊Dic67—21no—
585(C2×D67)⋊C4—21no—
586(C2×D67)⋊C4—21no—
587(C2×D67)⋊C4—21no—
588(C2×D67)⋊C4—21no—
589(C2×D67)⋊C4—21no—
590(C2×D67)⋊C4—21no—
591(C2×D67)⋊C4—21no—
592(C2×D67)⋊C4—21no—
593(C2×D67)⋊C4—21no—
594(C2×D67)⋊C4—21no—
595(C2×D67)⋊C4—21no—
596(C2×D67)⋊C4—21no—
597(C2×D67)⋊C4C2×D411yescharacteristic
598(C2×D67)⋊C4C2×D411yescharacteristic
599(C2×D67)⋊C4C2×D411yescharacteristic
600(C2×D67)⋊C4C2×D411yescharacteristic
601(C2×D67)⋊C4C2×D411yescharacteristic
602(C2×D67)⋊C4C2×D411yescharacteristic
603(C2×D67)⋊C4C2×D411yescharacteristic
604(C2×D67)⋊C4C2×D411yescharacteristic
605C4×Dic67—21no—
606C4×Dic67—21no—
607C4×Dic67—21no—
608C4×Dic67—21no—
609C4×Dic67—21no—
610C4×Dic67—21no—
611C4×Dic67—21no—
612C4×Dic67—21no—
613C4×Dic67—21no—
614C4×Dic67C2×D411yescharacteristic
615C4×Dic67C2×D411yescharacteristic
616C4×Dic67C2411yescharacteristic
617C4×Dic67C2411yescharacteristic
618#41×C67—82no—
619C2×Q8×C67—21no—
620C2×Q8×C67—21no—
621C2×Q8×C67—21no—
622C2×D4×C67—21no—
623C2×D4×C67—21no—
624C2×D4×C67—21no—
625C2×D4×C67—21no—
626C2×D4×C67C2411yescharacteristic
627C2×D4×C67C2411yescharacteristic
628C22×C4×C67—21no—
629C22×C4×C67—21no—
630C22×C4×C67C2×D411yescharacteristic
631C22×C4×C67C2×D411yescharacteristic
632C22×C4×C67C2411yescharacteristic
633C2×C8×C67C2411yescharacteristic
634C2×C8×C67C2411yescharacteristic
635C2×C8×C67C2411yescharacteristic
636C2×C8×C67C2411yescharacteristic
637C4⋊C4×C67—21no—
638C4⋊C4×C67—21no—
639C4⋊C4×C67—21no—
640C4⋊C4×C67—21no—
641C4⋊C4×C67—21no—
642C4⋊C4×C67—21no—
643C4⋊C4×C67—21no—
644C4⋊C4×C67C2411yescharacteristic
645C4⋊C4×C67C2411yescharacteristic
646C4⋊C4×C67C2411yescharacteristic
647C4⋊C4×C67C2411yescharacteristic
648C4⋊C4×C67C2411yescharacteristic
649C4⋊C4×C67C2411yescharacteristic
650C22⋊C4×C67—21no—
651C22⋊C4×C67—21no—
652C22⋊C4×C67—21no—
653C22⋊C4×C67—21no—
654C22⋊C4×C67—21no—
655C22⋊C4×C67—21no—
656C42×C67—21no—
657C42×C67—21no—
658C42×C67C2×D411yescharacteristic
659C42×C67C2×D411yescharacteristic
660C42×C67C2411yescharacteristic
661C42×C67C2411yescharacteristic
662C23×C67—21no—
663C23×C67—21no—
664C23×C67C22×D411yescharacteristic
665C22×D67—22no—
666C22×D67—21no—
667C22×D67—41no—
668C22×D67—41no—
669C22×D67—42no—
670C22×D67—81no—
671C22×D67—81no—
672C22×D67C22×D411yescharacteristic
673C22×D67C22×D411yescharacteristic
674Q8×C67—81no—
675Q8×C67—81no—
676Q8×C67—81no—
677D4×C67—21no—
678D4×C67—21no—
679D4×C67—21no—
680D4×C67—21no—
681D4×C67—42no—
682D4×C67—42no—
683D4×C67—81no—
684D4×C67—81no—
685C2×C4×C67—21no—
686C2×C4×C67—21no—
687C2×C4×C67—21no—
688C2×C4×C67—21no—
689C2×C4×C67—21no—
690C2×C4×C67—21no—
691C2×C4×C67—21no—
692C2×C4×C67—21no—
693C2×C4×C67—41no—
694C2×C4×C67—41no—
695C2×C4×C67—81no—
696C2×C4×C67—81no—
697C2×C4×C67C22×D411yescharacteristic
698C2×C4×C67C22×D411yescharacteristic
699C2×C4×C67C22×D411yescharacteristic
700C2×C4×C67C22×D411yescharacteristic
701C2×C4×C67C22×D411yescharacteristic
702C2×C4×C67C2511yescharacteristic
703C22⋊D67—42no—
704C22⋊D67—42no—
705C22⋊D67—42no—
706C22⋊D67—81no—
707C22⋊D67—81no—
708C22⋊D67—81no—
709C22⋊D67—81no—
710C2×Dic67—22no—
711C2×Dic67—21no—
712C2×Dic67—21no—
713C2×Dic67—21no—
714C2×Dic67—21no—
715C2×Dic67—21no—
716C2×Dic67—21no—
717C2×Dic67—21no—
718C2×Dic67—41no—
719C2×Dic67—41no—
720C2×Dic67—42no—
721C2×Dic67—81no—
722C2×Dic67—81no—
723C2×Dic67C22×D411yescharacteristic
724C2×Dic67C22×D411yescharacteristic
725C2×Dic67C22×D411yescharacteristic
726C2×Dic67C22×D411yescharacteristic
727C2×Dic67C22×D411yescharacteristic
728C2×Dic67C22×D411yescharacteristic
729D268—21no—
730D268—21no—
731D268—81no—
732C4×D67—22no—
733C4×D67—21no—
734C4×D67—21no—
735C4×D67—22no—
736C4×D67—81no—
737C4×D67—81no—
738C4×D67—81no—
739C4×D67—81no—
740C4×D67—81no—
741C4×D67—81no—
742C4×D67—81no—
743C4×D672−1+412yes—
744C4×D672−1+412yes—
745Dic134—21no—
746Dic134—21no—
747Dic134—81no—
748Dic134—81no—
749Dic134—81no—
750Dic134—81no—
751Dic134—81no—
752Dic134—81no—
753Dic134—81no—
754C8×C67—21no—
755C8×C67—21no—
756C8×C67—21no—
757C8×C67—21no—
758C67⋊C8—21no—
759C67⋊C8—21no—
760C67⋊C8—21no—
761C67⋊C8—21no—
762C22×C67—21no—
763C22×C67—21no—
764C22×C67—21no—
765C22×C67—41no—
766C22×C67—41no—
767C22×C67—41no—
768C22×C67—41no—
769C22×C67—41no—
770C22×C67—41no—
771C22×C67C23×D411yescharacteristic
772C2×D67—21no—
773C2×D67—21no—
774C2×D67—21no—
775C2×D67—21no—
776C2×D67—21no—
777C2×D67—41no—
778C2×D67—41no—
779C2×D67—41no—
780C2×D67—82no—
781C2×D67—162no—
782C2×D67#53612yes—
783C4×C67—21no—
784C4×C67—21no—
785C4×C67—21no—
786C4×C67—21no—
787C4×C67—21no—
788C4×C67—41no—
789C4×C67—41no—
790C4×C67—41no—
791C4×C67—41no—
792C4×C67—41no—
793C4×C67—41no—
794C4×C67C2×2−1+411yescharacteristic
795C4×C67C2×2−1+411yescharacteristic
796Dic67—21no—
797Dic67—21no—
798Dic67—21no—
799Dic67—21no—
800Dic67—21no—
801Dic67—41no—
802Dic67—41no—
803Dic67—41no—
804Dic67—41no—
805Dic67—41no—
806Dic67—41no—
807Dic67—41no—
808Dic67#53612yes—
809#60875—671nomaximal, Sylow
810C2×C67—41no—
811C2×C67—81no—
812C2×C67—81no—
813C2×C67C2×#53611yescharacteristic
814C2×C67#358411yescharacteristic
815C2×C67#358511yescharacteristic
816D67—22no—
817D67—41no—
818D67—81no—
819#3494—671no—
820#3458—671no—
821#3244—671no—
822#3244—671no—
823#3243—671no—
824#3243—671no—
825#3241—671no—
826#3241—671no—
827#3241—671no—
828#3241—671no—
829#3240—671no—
830#3240—671no—
831#3235—671no—
832#3235—671no—
833#3233—671no—
834#3233—671no—
835#3228—671no—
836#3228D6711yescharacteristic, complemented
837#3164—671no—
838#3163—671no—
839#3136—671no—
840#3136—671no—
841#3094—671no—
842#3093—671no—
843#3091—671no—
844C2×#482—671no—
845#3084—671no—
846#3083—671no—
847#3081—671no—
848#3081—671no—
849#2924—671no—
850C67#6087511yescharacteristic, complemented, Sylow
851#555—1341no—
852#553—1341no—
853#553—1341no—
854#551—1341no—
855#551—1341no—
856#547—1341no—
857#546—1341no—
858#546—1341no—
859#544—671no—
860#544—671no—
861#544—671no—
862#544—671no—
863#544—671no—
864#544—671no—
865#544—671no—
866#544—671no—
867#544—671no—
868#544—1341no—
869#544—1341no—
870#543—1341no—
871#543—1341no—
872#542—671no—
873#542—671no—
874#540—671no—
875#540—671no—
876#535—671no—
877#533—671no—
878#533—671no—
879#533—671no—
880#533—1341no—
881#533—1341no—
882#533—1341no—
883#533—1341no—
884#533C2×D6711yescharacteristic, complemented
885#532—671no—
886#532C2×D6711yescharacteristic
887#529—671no—
888#529—671no—
889#525—671no—
890C2×#121—671no—
891#520—671no—
892#518—671no—
893C2×#117—671no—
894C2×#117—671no—
895C2×#117—671no—
896#501—671no—
897#501—671no—
898#501—671no—
899#501—671no—
900#501—671no—
901#501—671no—
902#501—671no—
903#501—671no—
904#500—671no—
905#500C2×D6711yescharacteristic, complemented
906#499—671no—
907#499—671no—
908#499—671no—
909#499—671no—
910#498—671no—
911#498C2×D6711yescharacteristic, complemented
912#490—671no—
913#490—671no—
914#490—671no—
915#490—671no—
916#489—671no—
917#489—671no—
918#489—671no—
919#489—671no—
920#488—671no—
921#488—671no—
922#488—671no—
923#488—671no—
924#486—671no—
925#486—671no—
926#486C2×D6711yescharacteristic, complemented
927#486C2×D6711yescharacteristic, complemented
928#485—671no—
929#485—671no—
930#485—671no—
931#485—671no—
932#485—671no—
933#485—671no—
934#484—671no—
935#483—671no—
936#482—671no—
937#482—671no—
938#482—671no—
939#482—671no—
940#482—671no—
941#482—671no—
942#482—671no—
943#482—671no—
944#482—671no—
945#482—671no—
946#482—671no—
947#482—671no—
948#482—671no—
949#482—671no—
950#482C2×D6711yescharacteristic
951#482C2×D6711yescharacteristic
952#482C2×D6711yescharacteristic, complemented
953#482C2×D6711yescharacteristic, complemented
954#481—671no—
955#481—671no—
956#481—671no—
957#480—671no—
958#480—671no—
959#480—671no—
960#479—671no—
961#479—671no—
962#479—671no—
963#479—671no—
964#478—671no—
965#478—671no—
966#478—671no—
967#478—671no—
968#478—671no—
969#478—671no—
970#478—671no—
971#478—671no—
972#478C2×D6711yescharacteristic, complemented
973#478C2×D6711yescharacteristic, complemented
974#478C2×D6711yescharacteristic, complemented
975#478C2×D6711yescharacteristic, complemented
976#477—671no—
977#477—671no—
978#476—671no—
979#476—671no—
980#476—671no—
981#476—671no—
982#476—671no—
983#476—671no—
984#475—671no—
985#475—671no—
986#474—671no—
987#474—671no—
988#474—671no—
989#474—671no—
990#474—671no—
991#474—671no—
992#433—671no—
993#433—671no—
994#433—671no—
995#433—671no—
996#432—671no—
997#432—671no—
998#431—671no—
999#431C2×D6711yescharacteristic, complemented
1000#428—671no—
1001#428—671no—
1002#428—671no—
1003#428—671no—
1004#427—671no—
1005#427—671no—
1006C2×#107—671no—
1007C2×#106—671no—
1008#424—671no—
1009#424—671no—
1010#418—671no—
1011#418—671no—
1012#417—671no—
1013#417—671no—
1014#416—671no—
1015#416—671no—
1016C2×#102—671no—
1017C2×#102—671no—
1018#407—671no—
1019C2×C22⋊C8—671no—
1020#405—671no—
1021#405—671no—
1022C2×#41—21no—
1023C2×#41—671no—
1024C2×#41—1341no—
1025C22×D4—671no—
1026C22×D4—1341no—
1027C23×C4—671no—
1028C2×M16—671no—
1029C2×M16—671no—
1030C22×C8—671no—
1031C22×C8—671no—
1032C4⋊Q8—671no—
1033C4⋊Q8—671no—
1034C4⋊Q8—671no—
1035C4⋊Q8—671no—
1036C4⋊Q8—671no—
1037C4⋊Q8—671no—
1038C4⋊Q8—671no—
1039C4⋊Q8—1341no—
1040C4⋊Q8—1341no—
1041C4⋊Q8—1341no—
1042C4⋊Q8—1341no—
1043C4⋊Q8—1341no—
1044C4⋊Q8—1341no—
1045C4⋊Q8—1341no—
1046C4⋊Q8—1341no—
1047C4⋊Q8—1341no—
1048C4⋊Q8C22×D6711yescharacteristic
1049C4⋊Q8C22×D6711yescharacteristic
1050C4⋊Q8C22×D6711yescharacteristic
1051#127—671no—
1052#127C22×D6711yescharacteristic
1053#126—1341no—
1054#126—1341no—
1055#126—1341no—
1056#126—1341no—
1057#125—671no—
1058#125—671no—
1059#125—671no—
1060#125—671no—
1061#125—671no—
1062#125—671no—
1063#125—671no—
1064#125—671no—
1065#125—1341no—
1066#125—1341no—
1067#125—1341no—
1068#125—1341no—
1069#125—1341no—
1070#125—1341no—
1071#125—1341no—
1072#125—1341no—
1073#125—1341no—
1074#125C22×D6711yescharacteristic
1075#125C22×D6711yescharacteristic
1076#124—21no—
1077#124—671no—
1078#124—671no—
1079#124—1341no—
1080#124—1341no—
1081#124—1341no—
1082#123—1341no—
1083#123—1341no—
1084#123—1341no—
1085#123—1341no—
1086#123—1341no—
1087#123—1341no—
1088#123—1341no—
1089#123—1341no—
1090#123—1341no—
1091C22⋊Q8—21no—
1092C22⋊Q8—21no—
1093C22⋊Q8—671no—
1094C22⋊Q8—671no—
1095C22⋊Q8—1341no—
1096C22⋊Q8—1341no—
1097C22⋊Q8—1341no—
1098C22⋊Q8—1341no—
1099C22⋊Q8—1341no—
1100C22⋊Q8—1341no—
1101C22⋊Q8—1341no—
1102C22⋊Q8—1341no—
1103C22⋊Q8—1341no—
1104C22⋊Q8—1341no—
1105C22⋊Q8—1341no—
1106C22⋊Q8—1341no—
1107C22⋊Q8—1341no—
1108C22⋊Q8—1341no—
1109C22⋊Q8—1341no—
1110C22⋊Q8—1341no—
1111C22⋊Q8—1341no—
1112C22⋊Q8—1341no—
1113C22⋊Q8—1341no—
1114C22⋊Q8—1341no—
1115C22⋊Q8—1341no—
1116C22⋊Q8—1341no—
1117C22⋊Q8—1341no—
1118C22⋊Q8—1341no—
1119C22⋊Q8—1341no—
1120C22⋊Q8—1341no—
1121#121—21no—
1122#121—671no—
1123#121—671no—
1124#121—671no—
1125#121—671no—
1126#121—1341no—
1127#121—1341no—
1128#121—1341no—
1129#121—1341no—
1130#121—1341no—
1131#121—1341no—
1132#121—1341no—
1133#121—1341no—
1134#121—1341no—
1135#121C22×D6711yescharacteristic
1136#121C22×D6711yescharacteristic
1137#120—1341no—
1138#120—1341no—
1139#120—1341no—
1140C4×Q8—21no—
1141C4×Q8—21no—
1142C4×Q8—671no—
1143C4×Q8—671no—
1144C4×Q8—1341no—
1145C4×Q8—1341no—
1146C4×Q8—1341no—
1147C4×Q8—1341no—
1148C4×Q8—1341no—
1149C4×Q8—1341no—
1150C4×D4—21no—
1151C4×D4—671no—
1152C4×D4—671no—
1153C4×D4—671no—
1154C4×D4—671no—
1155C4×D4—1341no—
1156C4×D4—1341no—
1157C4×D4—1341no—
1158C4×D4—1341no—
1159C4×D4—1341no—
1160C4×D4—1341no—
1161C4×D4—1341no—
1162C4×D4—1341no—
1163C4×D4—1341no—
1164C4×D4C22×D6711yescharacteristic
1165C4×D4C22×D6711yescharacteristic
1166#117—671no—
1167#117—671no—
1168#117—671no—
1169#117—671no—
1170#117—671no—
1171#117—671no—
1172#117—671no—
1173#117—671no—
1174#117—671no—
1175#117—671no—
1176#117—671no—
1177#117—671no—
1178#117—671no—
1179#117—671no—
1180#117—671no—
1181#117—1341no—
1182#117—1341no—
1183#117—1341no—
1184#117—1341no—
1185#117—1341no—
1186#117—1341no—
1187#117—1341no—
1188#117C22×D6711yescharacteristic
1189#117C22×D6711yescharacteristic
1190C2×C4⋊C4—671no—
1191C2×C4⋊C4—671no—
1192C2×C4⋊C4—671no—
1193C2×C4⋊C4—671no—
1194C2×C4⋊C4—671no—
1195C2×C4⋊C4—671no—
1196C2×C4⋊C4—671no—
1197C2×C4⋊C4—1341no—
1198C2×C22⋊C4—671no—
1199C2×C22⋊C4—671no—
1200C2×C22⋊C4—1341no—
1201C2×C22⋊C4—1341no—
1202C2×C22⋊C4—1341no—
1203C2×C22⋊C4—1341no—
1204C2×C22⋊C4—1341no—
1205C2×C42—671no—
1206C2×C42—1341no—
1207C2×C42—1341no—
1208C2×C42C22×D6711yescharacteristic
1209#107—671no—
1210#107—671no—
1211#107—671no—
1212#107—671no—
1213#107—671no—
1214#107—671no—
1215#107—671no—
1216#107—671no—
1217#107—671no—
1218#107—671no—
1219#107—671no—
1220#107—671no—
1221#107C22×D6711yescharacteristic
1222#107C22×D6711yescharacteristic
1223#107C22×D6711yescharacteristic
1224#107C22×D6711yescharacteristic
1225#106—671no—
1226#106—671no—
1227#106—671no—
1228#106—671no—
1229#106—671no—
1230#106—671no—
1231#106—671no—
1232#106—671no—
1233#106—671no—
1234#106—671no—
1235#106—671no—
1236#106—671no—
1237#106C22×D6711yescharacteristic
1238#106C22×D6711yescharacteristic
1239#106C22×D6711yescharacteristic
1240#106C22×D6711yescharacteristic
1241C4⋊C8—671no—
1242C4⋊C8—671no—
1243C4⋊C8—671no—
1244C4⋊C8—671no—
1245C4⋊C8—671no—
1246C4⋊C8—671no—
1247C4⋊C8C22×D6711yescharacteristic
1248C4⋊C8C22×D6711yescharacteristic
1249#103—671no—
1250#103—671no—
1251#103—671no—
1252#103—671no—
1253#103—671no—
1254#103—671no—
1255#103—671no—
1256#103—671no—
1257#102—671no—
1258#102—671no—
1259#102—671no—
1260#102—671no—
1261#102—671no—
1262#102—671no—
1263#102—671no—
1264#102—671no—
1265#102—671no—
1266#102—671no—
1267#102—671no—
1268#102—671no—
1269#102—671no—
1270#102—671no—
1271#102—671no—
1272#102—671no—
1273#102C22×D6711yescharacteristic
1274#102C22×D6711yescharacteristic
1275#102C22×D6711yescharacteristic
1276#102C22×D6711yescharacteristic
1277#102C22×D6711yescharacteristic
1278#102C22×D6711yescharacteristic
1279#102C22×D6711yescharacteristic
1280#102C22×D6711yescharacteristic
1281C22⋊C8—671no—
1282C22⋊C8—671no—
1283C22⋊C8—671no—
1284C22⋊C8—671no—
1285C22⋊C8—671no—
1286C22⋊C8—671no—
1287C22⋊C8C22×D6711yescharacteristic
1288C22⋊C8C22×D6711yescharacteristic
1289#97—671no—
1290#97—671no—
1291#97—671no—
1292#97—671no—
1293C4×C8—671no—
1294C4×C8—671no—
1295C4×C8C22×D6711yescharacteristic
1296C4×C8C22×D6711yescharacteristic
1297C24—671no—
1298C24—1341no—
1299#41—82no—
1300#41—5362no—
1301#41—1342no—
1302#41—1342no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—21no—
1306C2×Q8—671no—
1307C2×Q8—1341no—
1308C2×Q8—1341no—
1309C2×Q8—1341no—
1310C2×Q8—1341no—
1311C2×Q8—1341no—
1312C2×Q8—1341no—
1313C2×Q8—1341no—
1314C2×D4—21no—
1315C2×D4—21no—
1316C2×D4—21no—
1317C2×D4—21no—
1318C2×D4—5362no—
1319C2×D4—671no—
1320C2×D4—1341no—
1321C2×D4—1342no—
1322C2×D4—1342no—
1323C2×D4—1341no—
1324C2×D4—1341no—
1325C2×D4—1341no—
1326C2×D4—1341no—
1327C2×D4—1341no—
1328C2×D4—1341no—
1329C2×D4—1341no—
1330C2×D4C23×D6711yescharacteristic
1331C2×D4C23×D6711yescharacteristic
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—671no—
1335C22×C4—671no—
1336C22×C4—671no—
1337C22×C4—671no—
1338C22×C4—671no—
1339C22×C4—671no—
1340C22×C4—671no—
1341C22×C4—1341no—
1342C22×C4—1341no—
1343C22×C4—1341no—
1344C22×C4—1341no—
1345C22×C4—1341no—
1346C22×C4—1341no—
1347C22×C4—1342no—
1348C22×C4—1342no—
1349C22×C4—1341no—
1350C22×C4—1341no—
1351C22×C4—1341no—
1352C22×C4—1341no—
1353C22×C4D4×D6711yescharacteristic
1354C22×C4D4×D6711yescharacteristic
1355C22×C4C23×D6711yescharacteristic
1356M16—1342no—
1357M16—1342no—
1358C2×C8—671no—
1359C2×C8—671no—
1360C2×C8—671no—
1361C2×C8—671no—
1362C2×C8—1342no—
1363C2×C8—1342no—
1364C2×C8C23×D6711yescharacteristic
1365C2×C8C23×D6711yescharacteristic
1366C2×C8C23×D6711yescharacteristic
1367C2×C8C23×D6711yescharacteristic
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—671no—
1376C4⋊C4—671no—
1377C4⋊C4—671no—
1378C4⋊C4—671no—
1379C4⋊C4—671no—
1380C4⋊C4—671no—
1381C4⋊C4—671no—
1382C4⋊C4—671no—
1383C4⋊C4—671no—
1384C4⋊C4—671no—
1385C4⋊C4—671no—
1386C4⋊C4—671no—
1387C4⋊C4—671no—
1388C4⋊C4—671no—
1389C4⋊C4—1341no—
1390C4⋊C4—1341no—
1391C4⋊C4—1341no—
1392C4⋊C4—1341no—
1393C4⋊C4—1341no—
1394C4⋊C4—1341no—
1395C4⋊C4—1341no—
1396C4⋊C4—1341no—
1397C4⋊C4—1341no—
1398C4⋊C4—1341no—
1399C4⋊C4—1341no—
1400C4⋊C4—1341no—
1401C4⋊C4—1341no—
1402C4⋊C4—1341no—
1403C4⋊C4—1341no—
1404C4⋊C4—1341no—
1405C4⋊C4—1341no—
1406C4⋊C4—1341no—
1407C4⋊C4—1341no—
1408C4⋊C4—1341no—
1409C4⋊C4—1341no—
1410C4⋊C4—1341no—
1411C4⋊C4—1341no—
1412C4⋊C4—1341no—
1413C4⋊C4—1341no—
1414C4⋊C4—1341no—
1415C4⋊C4—1341no—
1416C4⋊C4—1341no—
1417C4⋊C4—1341no—
1418C4⋊C4—1341no—
1419C4⋊C4—1341no—
1420C4⋊C4—1341no—
1421C4⋊C4C23×D6711yescharacteristic
1422C4⋊C4C23×D6711yescharacteristic
1423C4⋊C4C23×D6711yescharacteristic
1424C4⋊C4C23×D6711yescharacteristic
1425C4⋊C4C23×D6711yescharacteristic
1426C4⋊C4C23×D6711yescharacteristic
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—671no—
1434C22⋊C4—671no—
1435C22⋊C4—671no—
1436C22⋊C4—671no—
1437C22⋊C4—671no—
1438C22⋊C4—671no—
1439C22⋊C4—671no—
1440C22⋊C4—671no—
1441C22⋊C4—1341no—
1442C22⋊C4—1341no—
1443C22⋊C4—1341no—
1444C22⋊C4—1341no—
1445C22⋊C4—1341no—
1446C22⋊C4—1341no—
1447C22⋊C4—1341no—
1448C22⋊C4—1341no—
1449C22⋊C4—1341no—
1450C22⋊C4—1341no—
1451C22⋊C4—1341no—
1452C22⋊C4—1341no—
1453C22⋊C4—1341no—
1454C22⋊C4—1341no—
1455C22⋊C4—1341no—
1456C22⋊C4—1341no—
1457C22⋊C4—1341no—
1458C22⋊C4—1341no—
1459C22⋊C4—1341no—
1460C22⋊C4—1341no—
1461C22⋊C4—1341no—
1462C42—21no—
1463C42—21no—
1464C42—671no—
1465C42—671no—
1466C42—671no—
1467C42—671no—
1468C42—1341no—
1469C42—1341no—
1470C42—1341no—
1471C42—1341no—
1472C42—1341no—
1473C42—1341no—
1474C42—1341no—
1475C42—1341no—
1476C42—1341no—
1477C42D4×D6711yescharacteristic
1478C42D4×D6711yescharacteristic
1479C42C23×D6711yescharacteristic
1480C42C23×D6711yescharacteristic
1481C23—21no—
1482C23—21no—
1483C23—2681no—
1484C23—2681no—
1485C23—2682no—
1486C23—5361no—
1487C23—5361no—
1488C23—671no—
1489C23—671no—
1490C23—1342no—
1491C23—1341no—
1492C23C2×D4×D6711yescharacteristic
1493Q8—81no—
1494Q8—81no—
1495Q8—81no—
1496Q8—5361no—
1497Q8—5361no—
1498Q8—5361no—
1499Q8—5361no—
1500Q8—5361no—
1501Q8—5361no—
1502Q8—5361no—
1503Q8—1341no—
1504Q8—1341no—
1505D4—21no—
1506D4—21no—
1507D4—21no—
1508D4—21no—
1509D4—42no—
1510D4—42no—
1511D4—81no—
1512D4—81no—
1513D4—2682no—
1514D4—2682no—
1515D4—2682no—
1516D4—5361no—
1517D4—5361no—
1518D4—5361no—
1519D4—5361no—
1520D4—5361no—
1521D4—1341no—
1522D4—1341no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—81no—
1534C2×C4—81no—
1535C2×C4—2682no—
1536C2×C4—2681no—
1537C2×C4—2681no—
1538C2×C4—5361no—
1539C2×C4—5361no—
1540C2×C4—5361no—
1541C2×C4—5361no—
1542C2×C4—5361no—
1543C2×C4—5361no—
1544C2×C4—5361no—
1545C2×C4—5361no—
1546C2×C4—5361no—
1547C2×C4—671no—
1548C2×C4—672no—
1549C2×C4—672no—
1550C2×C4—671no—
1551C2×C4—671no—
1552C2×C4—671no—
1553C2×C4—671no—
1554C2×C4—671no—
1555C2×C4—1342no—
1556C2×C4—1342no—
1557C2×C4—1341no—
1558C2×C4—1341no—
1559C2×C4—1341no—
1560C2×C4—1341no—
1561C2×C4—1341no—
1562C2×C4—1341no—
1563C2×C4—1341no—
1564C2×C4—1342no—
1565C2×C4—1341no—
1566C2×C4—1341no—
1567C2×C4C2×D4×D6711yescharacteristic
1568C2×C4C2×D4×D6711yescharacteristic
1569C2×C4C2×D4×D6711yescharacteristic
1570C2×C4C2×D4×D6711yescharacteristic
1571C2×C4C2×D4×D6711yescharacteristic
1572C2×C4C24×D6711yescharacteristic
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—1341no—
1578C8—1341no—
1579C8—1341no—
1580C8—1341no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—2681no—
1591C22—2681no—
1592C22—2681no—
1593C22—5362no—
1594C22—10722no—
1595C22—672no—
1596C22—1341no—
1597C22—1341no—
1598C22—1341no—
1599C22—1341no—
1600C22—1341no—
1601C22C22×D4×D6711yescharacteristic
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—21no—
1606C4—21no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—2681no—
1614C4—2681no—
1615C4—2681no—
1616C4—2681no—
1617C4—2681no—
1618C4—2681no—
1619C4—2681no—
1620C4—672no—
1621C4—1341no—
1622C4—1341no—
1623C4—1341no—
1624C4—1341no—
1625C4—1341no—
1626C42−1+4×D6711yescharacteristic
1627C42−1+4×D6711yescharacteristic
1628C2—41no—
1629C2—81no—
1630C2—81no—
1631C2—2681no—
1632C2—5361no—
1633C2—1342no—
1634C2#536×D6711yescharacteristic
1635C2#2257497811yescharacteristic
1636C2#2257498511yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3228C2
socleC22×C67C23×D4
prime radical#22573939C2
hypercenter#3228D67
hypocenterC67#60875
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3228

Complements

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

NH ≅ G/Ntype
2. #22573612C2semidirect
3. #22571510C2semidirect
4. #22571506C2semidirect
5. #22571495C2semidirect
6. #22571491C2semidirect
7. #22571467C2semidirect
8. #22571459C2semidirect
9. #22571455C2semidirect
10. #22571455C2semidirect
11. #22571449C2semidirect
12. #22571447C2semidirect
13. #22571404C2semidirect
14. #22571403C2semidirect
15. #22571390C2semidirect
16. #22571385C2semidirect
17. #22571343C2semidirect
18. #22570742C2semidirect
19. #22570734C2semidirect
20. #22570558C2semidirect
21. #22570558C2semidirect
22. #22570148C2semidirect
23. #22570137C2semidirect
24. #22570121C2semidirect
25. #482×D67C2semidirect
26. #22570072C2semidirect
27. #22570061C2semidirect
28. #22570039C2semidirect
29. #22570037C2semidirect
30. #22568862C2semidirect
31. C67×#3228C2semidirect
42. #16864026C22semidirect
43. #16864026C22semidirect
49. #16864023C22semidirect
50. #16864023C22semidirect
58. #16863953C22semidirect
63. #16863949C22semidirect
64. #16863949C22semidirect
75. #16863804C22semidirect
76. #16863804C22semidirect
77. #16863803C22semidirect
78. #16863803C22semidirect
79. #16863802C22semidirect
80. #16863802C22semidirect
81. #16863802C22semidirect
82. #16863802C22semidirect
83. #16863800C22semidirect
84. #16863798C22semidirect
85. #16863798C22semidirect
86. #16863797C22semidirect
87. #16863796C22semidirect
88. #16863793C22semidirect
89. #16863760C22semidirect
90. #16863760C22semidirect
91. #16863759C22semidirect
92. #16863759C22semidirect
93. #16863758C22semidirect
94. #16863758C22semidirect
95. #16863754C22semidirect
96. #16863754C22semidirect
97. #16863751C22semidirect
98. #16863751C22semidirect
99. #16863749C22semidirect
100. #16863749C22semidirect
101. #16863741C22semidirect
102. #16863741C22semidirect
103. #16863740C22semidirect
104. #16863739C22semidirect
105. #16863738C22semidirect
106. #16863738C22semidirect
107. #16863737C22semidirect
108. #16863737C22semidirect
109. #16863733C22semidirect
110. #16863728C22semidirect
118. #16863719C22semidirect
120. #16863718C22semidirect
123. #16863717C22semidirect
124. #16863717C22semidirect
127. #16863713C22semidirect
130. #16863708C22semidirect
131. #16863706C22semidirect
132. #16863702C22semidirect
133. #16863700C22semidirect
134. #16863700C22semidirect
135. #16863699C22semidirect
136. #16863698C22semidirect
137. #16863698C22semidirect
138. #16863695C22semidirect
139. #16863694C22semidirect
140. #16863694C22semidirect
141. #16863693C22semidirect
142. #16863693C22semidirect
143. #16863692C22semidirect
144. #16863690C22semidirect
145. #16863687C22semidirect
146. #16863686C22semidirect
147. #16863686C22semidirect
148. #16863685C22semidirect
149. #16863684C22semidirect
150. #16863684C22semidirect
151. #16863682C22semidirect
152. #16863680C22semidirect
153. #16863677C22semidirect
154. #16863676C22semidirect
155. #16863676C22semidirect
156. #16863675C22semidirect
157. #16863674C22semidirect
158. #16863674C22semidirect
159. #16863456C22semidirect
160. #16863456C22semidirect
161. #16863455C22semidirect
162. #16863455C22semidirect
163. #16863453C22semidirect
164. #16863450C22semidirect
165. #16863446C22semidirect
188. #533×C67C22semidirect
190. #500×C67C22semidirect
191. #498×C67C22semidirect
192. #486×C67C22semidirect
193. #486×C67C22semidirect
196. #482×C67C22semidirect
197. #482×C67C22semidirect
198. #478×C67C22semidirect
199. #478×C67C22semidirect
200. #478×C67C22semidirect
201. #478×C67C22semidirect
202. #431×C67C22semidirect
836. #3228D67semidirect
850. C67#60875semidirect
884. #533C2×D67semidirect
905. #500C2×D67semidirect
911. #498C2×D67semidirect
926. #486C2×D67semidirect
927. #486C2×D67semidirect
952. #482C2×D67semidirect
953. #482C2×D67semidirect
972. #478C2×D67semidirect
973. #478C2×D67semidirect
974. #478C2×D67semidirect
975. #478C2×D67semidirect
999. #431C2×D67semidirect

Maximal subgroups

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

subgroupindex
#225739392
#225736122
#225715102
#225715062
#225714952
#225714912
#225714672
#225714592
#225714552
#225714492
#225714472
#225714042
#225714032
#225713902
#225713852
#225713432
#225707422
#225707342
#225705582
#225701482
#225701372
#225701212
#482×D672
#225700722
#225700612
#225700392
#225700372
#225688622
C67×#32282
#6087567