Finite Group Databasebeta

← #3241×D67 #31728012

Subgroups — #3241×D67 #31728012

Order 17152.

1806 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#544×D67C211yesmaximal, characteristic, complemented
2#540×D67C211yesmaximal, characteristic
3#22571469C211yesmaximal, characteristic, complemented
4#22571468C211yesmaximal, characteristic, complemented
5#22571467C211yesmaximal, characteristic, complemented
6#22571466C211yesmaximal, characteristic, complemented
7#22571465C211yesmaximal, characteristic, complemented
8#22571464C211yesmaximal, characteristic, complemented
9#22571463C211yesmaximal, characteristic, complemented
10#22571462C211yesmaximal, characteristic, complemented
11#22571461C211yesmaximal, characteristic, complemented
12#22571460C211yesmaximal, characteristic, complemented
13#22571459C211yesmaximal, characteristic, complemented
14#22571458C211yesmaximal, characteristic, complemented
15#22571457C211yesmaximal, characteristic, complemented
16#22571456C211yesmaximal, characteristic, complemented
17#22571455C211yesmaximal, characteristic, complemented
18#501×D67C211yesmaximal, characteristic, complemented
19#499×D67C211yesmaximal, characteristic, complemented
20#490×D67C211yesmaximal, characteristic, complemented
21#486×D67C211yesmaximal, characteristic, complemented
22#481×D67C211yesmaximal, characteristic, complemented
23#482×D67C211yesmaximal, characteristic, complemented
24#482×D67C211yesmaximal, characteristic, complemented
25#480×D67C211yesmaximal, characteristic, complemented
26#478×D67C211yesmaximal, characteristic, complemented
27#478×D67C211yesmaximal, characteristic, complemented
28#476×D67C211yesmaximal, characteristic, complemented
29#474×D67C211yesmaximal, characteristic, complemented
30#433×D67C211yesmaximal, characteristic, complemented
31C67×#3241C211yesmaximal, characteristic, complemented
32#16864027C2211yescharacteristic, complemented
33#16864026—21no—
34#16864026C2211yescharacteristic, complemented
35#16864026C2211yescharacteristic, complemented
36#16864025—21no—
37#16864025—21no—
38#16864024C2211yescharacteristic, complemented
39#16864024C2211yescharacteristic, complemented
40#16864023—21no—
41#16864023C2211yescharacteristic, complemented
42#16864023C2211yescharacteristic, complemented
43#16864002C2211yescharacteristic
44#16864001C2211yescharacteristic
45#16864000C2211yescharacteristic
46#16863999C2211yescharacteristic
47#16863999C2211yescharacteristic
48#16863998—21no—
49#16863998—21no—
50#16863997C2211yescharacteristic
51#16863997C2211yescharacteristic
52#16863996—21no—
53#16863996—21no—
54C4⋊Q8×D67—21no—
55C4⋊Q8×D67C2211yescharacteristic
56C4⋊Q8×D67C2211yescharacteristic
57#127×D67C2211yescharacteristic
58#125×D67—21no—
59#125×D67C2211yescharacteristic
60#125×D67C2211yescharacteristic
61#125×D67C2211yescharacteristic
62#123×D67—21no—
63#123×D67—21no—
64C22⋊Q8×D67—21no—
65C22⋊Q8×D67—21no—
66#121×D67—21no—
67#121×D67—21no—
68#121×D67C2211yescharacteristic
69#121×D67C2211yescharacteristic
70C4×D4×D67C2211yescharacteristic
71C4×D4×D67C2211yescharacteristic
72#117×D67C2211yescharacteristic
73#117×D67C2211yescharacteristic
74C2×C4⋊C4×D67C2211yescharacteristic
75#16863806C2211yescharacteristic, complemented
76#16863805C2211yescharacteristic, complemented
77#16863804C2211yescharacteristic, complemented
78#16863804C2211yescharacteristic, complemented
79#16863803C2211yescharacteristic, complemented
80#16863803C2211yescharacteristic, complemented
81#16863802C2211yescharacteristic, complemented
82#16863798C2211yescharacteristic, complemented
83#16863797C2211yescharacteristic, complemented
84#16863797C2211yescharacteristic, complemented
85#16863796C2211yescharacteristic, complemented
86#16863796C2211yescharacteristic, complemented
87#16863795C2211yescharacteristic, complemented
88#16863795C2211yescharacteristic, complemented
89#16863762C2211yescharacteristic, complemented
90#16863761C2211yescharacteristic, complemented
91#16863760C2211yescharacteristic, complemented
92#16863759C2211yescharacteristic, complemented
93#16863759C2211yescharacteristic, complemented
94#16863759C2211yescharacteristic, complemented
95#16863759C2211yescharacteristic, complemented
96#16863744C2211yescharacteristic, complemented
97#16863743C2211yescharacteristic, complemented
98#16863742C2211yescharacteristic, complemented
99#16863741C2211yescharacteristic, complemented
100#16863741C2211yescharacteristic, complemented
101#16863741C2211yescharacteristic, complemented
102#16863741C2211yescharacteristic, complemented
103#16863723C2211yescharacteristic, complemented
104#16863723C2211yescharacteristic, complemented
105#16863722C2211yescharacteristic, complemented
106#16863722C2211yescharacteristic, complemented
107#16863721C2211yescharacteristic, complemented
108#16863721C2211yescharacteristic, complemented
109#16863720C2211yescharacteristic, complemented
110#16863720C2211yescharacteristic, complemented
111#16863719C2211yescharacteristic, complemented
112#16863719C2211yescharacteristic, complemented
113#16863718C2211yescharacteristic, complemented
114#16863718C2211yescharacteristic, complemented
115#16863717C2211yescharacteristic, complemented
116#16863717C2211yescharacteristic, complemented
117#16863716C2211yescharacteristic, complemented
118#16863716C2211yescharacteristic, complemented
119#16863715C2211yescharacteristic, complemented
120#16863714C2211yescharacteristic, complemented
121#16863713C2211yescharacteristic, complemented
122#16863713C2211yescharacteristic, complemented
123#16863712C2211yescharacteristic, complemented
124#16863711C2211yescharacteristic, complemented
125#16863711C2211yescharacteristic, complemented
126#16863710C2211yescharacteristic, complemented
127#16863709C2211yescharacteristic, complemented
128#16863708C2211yescharacteristic, complemented
129#16863708C2211yescharacteristic, complemented
130#16863707C2211yescharacteristic, complemented
131#16863699C2211yescharacteristic, complemented
132#16863699C2211yescharacteristic, complemented
133#16863698C2211yescharacteristic, complemented
134#16863698C2211yescharacteristic, complemented
135#16863697C2211yescharacteristic, complemented
136#16863697C2211yescharacteristic, complemented
137#16863696C2211yescharacteristic, complemented
138#16863696C2211yescharacteristic, complemented
139#16863695C2211yescharacteristic, complemented
140#16863695C2211yescharacteristic, complemented
141#16863694C2211yescharacteristic, complemented
142#16863694C2211yescharacteristic, complemented
143#16863693C2211yescharacteristic, complemented
144#16863693C2211yescharacteristic, complemented
145#16863687C2211yescharacteristic, complemented
146#16863686C2211yescharacteristic, complemented
147#16863685C2211yescharacteristic, complemented
148#16863685C2211yescharacteristic, complemented
149#16863684C2211yescharacteristic, complemented
150#16863684C2211yescharacteristic, complemented
151#16863683C2211yescharacteristic, complemented
152#16863677C2211yescharacteristic, complemented
153#16863676C2211yescharacteristic, complemented
154#16863675C2211yescharacteristic, complemented
155#16863675C2211yescharacteristic, complemented
156#16863674C2211yescharacteristic, complemented
157#16863674C2211yescharacteristic, complemented
158#16863673C2211yescharacteristic, complemented
159#16863458C2211yescharacteristic, complemented
160#16863457C2211yescharacteristic, complemented
161#16863456C2211yescharacteristic, complemented
162#16863456C2211yescharacteristic, complemented
163#16863455C2211yescharacteristic, complemented
164#16863454C2211yescharacteristic, complemented
165#16863454C2211yescharacteristic, complemented
166#107×D67C2211yescharacteristic
167#107×D67C2211yescharacteristic
168#107×D67C2211yescharacteristic
169#107×D67C2211yescharacteristic
170#106×D67C2211yescharacteristic
171#106×D67C2211yescharacteristic
172#106×D67C2211yescharacteristic
173#106×D67C2211yescharacteristic
174C4⋊C8×D67C2211yescharacteristic
175C4⋊C8×D67C2211yescharacteristic
176#102×D67C2211yescharacteristic
177#102×D67C2211yescharacteristic
178#102×D67C2211yescharacteristic
179#102×D67C2211yescharacteristic
180#102×D67C2211yescharacteristic
181#102×D67C2211yescharacteristic
182#102×D67C2211yescharacteristic
183#102×D67C2211yescharacteristic
184C22⋊C8×D67C2211yescharacteristic
185C22⋊C8×D67C2211yescharacteristic
186#97×D67C2211yescharacteristic
187C4×C8×D67C2211yescharacteristic
188#544×C67C2211yescharacteristic, complemented
189#540×C67C2211yescharacteristic
190#501×C67C2211yescharacteristic, complemented
191#499×C67C2211yescharacteristic, complemented
192#490×C67C2211yescharacteristic, complemented
193#486×C67C2211yescharacteristic, complemented
194#482×C67C2211yescharacteristic, complemented
195#482×C67C2211yescharacteristic, complemented
196#481×C67C2211yescharacteristic, complemented
197#480×C67C2211yescharacteristic, complemented
198#478×C67C2211yescharacteristic, complemented
199#478×C67C2211yescharacteristic, complemented
200#476×C67C2211yescharacteristic, complemented
201#474×C67C2211yescharacteristic, complemented
202#433×C67C2211yescharacteristic, complemented
203C2×Q8×D67—21no—
204C2×Q8×D67—21no—
205C2×D4×D67—21no—
206C2×D4×D67—21no—
207C2×D4×D67—21no—
208C2×D4×D67—21no—
209C2×D4×D67C2311yescharacteristic
210C2×D4×D67C2311yescharacteristic
211C22×C4×D67—21no—
212C22×C4×D67—21no—
213C22×C4×D67—21no—
214C22×C4×D67C2311yescharacteristic
215C2×C8×D67C2311yescharacteristic
216C2×C8×D67C2311yescharacteristic
217C2×C8×D67C2311yescharacteristic
218C2×C8×D67C2311yescharacteristic
219#14524043—21no—
220#14524043C2311yescharacteristic
221#14524043C2311yescharacteristic
222#14524042—21no—
223#14524042—21no—
224#14524042—21no—
225#14524042—21no—
226#14524042—21no—
227#14524042—21no—
228#14524042C2311yescharacteristic
229#14524042C2311yescharacteristic
230#14524042C2311yescharacteristic
231#14524042C2311yescharacteristic
232#14524041—21no—
233#14524041—21no—
234#14524041—21no—
235#14524041—21no—
236#14524040C2311yescharacteristic
237#14524039—21no—
238#14524039—21no—
239#14524039C2311yescharacteristic
240#14524039C2311yescharacteristic
241#14524035—21no—
242#14524035C2311yescharacteristic
243#14524035C2311yescharacteristic
244#14524035C2311yescharacteristic
245#14524034—21no—
246#14524034—21no—
247#14524034C2311yescharacteristic
248#14524034C2311yescharacteristic
249#14524034C2311yescharacteristic
250#14524034C2311yescharacteristic
251#14524034C2311yescharacteristic
252#14524034C2311yescharacteristic
253#14524033—21no—
254#14524033—21no—
255#14524033—21no—
256#14524033—21no—
257#14524033—21no—
258#14524033—21no—
259#14524033—21no—
260#14524033—21no—
261#14524033—21no—
262#14524033—21no—
263#14524028—21no—
264#14524028—21no—
265#14524028—21no—
266#14524028—21no—
267#14524027—21no—
268#14524027—21no—
269#14524026—21no—
270#14524026—21no—
271#14524025—21no—
272#14524025—21no—
273#14524025—21no—
274#14524025—21no—
275#14524024—21no—
276#14524024—21no—
277#14524023—21no—
278#14524023—21no—
279#14524022—21no—
280#14524022—21no—
281#14524021—21no—
282#14524021—21no—
283#14524021—21no—
284#14524021—21no—
285#14524020—21no—
286#14524020—21no—
287#14524020—21no—
288#14524020—21no—
289#14524019—21no—
290#14524019—21no—
291#14524018—21no—
292#14524018—21no—
293#14524018C2311yescharacteristic
294#14524018C2311yescharacteristic
295#14524017—21no—
296#14524017—21no—
297#14524017C2311yescharacteristic
298#14524017C2311yescharacteristic
299#14524016—21no—
300#14524016—21no—
301#14524016—21no—
302#14524016—21no—
303#14524016—21no—
304#14524016—21no—
305#14524015—21no—
306#14524015—21no—
307#14524015—21no—
308#14524015—21no—
309#14524015—21no—
310#14524015—21no—
311#14524014—21no—
312#14524014—21no—
313#14524014C2311yescharacteristic
314#14524014C2311yescharacteristic
315C4×D268C2311yescharacteristic
316C4×D268C2311yescharacteristic
317D4×Dic67C2311yescharacteristic
318D4×Dic67C2311yescharacteristic
319#14524005C2311yescharacteristic
320#14524005C2311yescharacteristic
321C4×C22⋊D67—21no—
322C4×C22⋊D67—21no—
323(C22⋊D67)⋊C4—21no—
324(C22⋊D67)⋊C4—21no—
325#14524002C2311yescharacteristic
326#14524002C2311yescharacteristic
327#14524001D411yescharacteristic
328#14524001D411yescharacteristic
329#14524001C2311yescharacteristic
330#14524001C2311yescharacteristic
331#14524000—21no—
332#14524000C2311yescharacteristic
333#14524000C2311yescharacteristic
334#14523999—21no—
335#14523999D411yescharacteristic
336#14523999D411yescharacteristic
337C2×C4⋊Dic67C2311yescharacteristic
338C2×Dic67⋊C4—21no—
339C4⋊C4×D67—21no—
340C4⋊C4×D67—21no—
341C4⋊C4×D67—21no—
342C4⋊C4×D67—21no—
343C4⋊C4×D67—21no—
344C4⋊C4×D67—21no—
345C4⋊C4×D67—21no—
346C4⋊C4×D67—21no—
347C4⋊C4×D67—21no—
348C4⋊C4×D67—21no—
349C4⋊C4×D67D411yescharacteristic
350C4⋊C4×D67D411yescharacteristic
351C4⋊C4×D67C2311yescharacteristic
352C4⋊C4×D67C2311yescharacteristic
353C4⋊C4×D67C2311yescharacteristic
354C4⋊C4×D67C2311yescharacteristic
355C4⋊C4×D67C2311yescharacteristic
356C4⋊C4×D67C2311yescharacteristic
357C4⋊C4×D67C2311yescharacteristic
358C4⋊C4×D67C2311yescharacteristic
359C22⋊C4×D67—21no—
360C22⋊C4×D67—21no—
361C22⋊C4×D67—21no—
362C22⋊C4×D67—21no—
363C22⋊C4×D67—21no—
364C22⋊C4×D67D411yescharacteristic
365C22⋊C4×D67D411yescharacteristic
366C42×D67—21no—
367C42×D67C2311yescharacteristic
368C42×D67C2311yescharacteristic
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#14523965C2311yescharacteristic
400#14523965C2311yescharacteristic
401#14523965C2311yescharacteristic
402#14523965C2311yescharacteristic
403#14523965C2311yescharacteristic
404#14523965C2311yescharacteristic
405#14523965C2311yescharacteristic
406#14523965C2311yescharacteristic
407#14523964C2311yescharacteristic
408#14523964C2311yescharacteristic
409#14523964C2311yescharacteristic
410#14523964C2311yescharacteristic
411#14523964C2311yescharacteristic
412#14523964C2311yescharacteristic
413#14523964C2311yescharacteristic
414#14523964C2311yescharacteristic
415#14523963C2311yescharacteristic
416#14523963C2311yescharacteristic
417#14523963C2311yescharacteristic
418#14523963C2311yescharacteristic
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#14523953C2311yescharacteristic
431#14523953C2311yescharacteristic
432C4×C67⋊C8C2311yescharacteristic
433C8×Dic67C2311yescharacteristic
434C8×Dic67C2311yescharacteristic
435C4⋊Q8×C67—21no—
436C4⋊Q8×C67C2311yescharacteristic
437C4⋊Q8×C67C2311yescharacteristic
438#127×C67C2311yescharacteristic
439#125×C67—21no—
440#125×C67C2311yescharacteristic
441#125×C67C2311yescharacteristic
442#125×C67C2311yescharacteristic
443#123×C67—21no—
444#123×C67—21no—
445C22⋊Q8×C67—21no—
446C22⋊Q8×C67—21no—
447#121×C67—21no—
448#121×C67—21no—
449#121×C67C2311yescharacteristic
450#121×C67C2311yescharacteristic
451C4×D4×C67C2311yescharacteristic
452C4×D4×C67C2311yescharacteristic
453#117×C67C2311yescharacteristic
454#117×C67C2311yescharacteristic
455C2×C4⋊C4×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
476#97×C67C2311yescharacteristic
477C4×C8×C67C2311yescharacteristic
478C23×D67—21no—
479C23×D67—21no—
480C23×D67C2×D411yescharacteristic
481C2×Dic134—21no—
482C2×Dic134—21no—
483C2×Dic134—21no—
484C2×Dic134—21no—
485C2×Dic134—21no—
486C2×Dic134—21no—
487Q8×D67—82no—
488Q8×D67—82no—
489C2×D268—21no—
490C2×D268—21no—
491C2×D268—21no—
492C2×D268—21no—
493C2×D268C2411yescharacteristic
494C2×D268C2411yescharacteristic
495C2×C22⋊D67—21no—
496C2×C22⋊D67—21no—
497C2×C22⋊D67—21no—
498C2×C22⋊D67—21no—
499C2×C22⋊D67—21no—
500C2×C22⋊D67—21no—
501C2×C22⋊D67—21no—
502C2×C22⋊D67—21no—
503C2×C22⋊D67—21no—
504C2×C22⋊D67—21no—
505D4×D67—22no—
506D4×D67—22no—
507D4×D67—22no—
508D4×D67—22no—
509D4×D67—82no—
510D4×D67—82no—
511D4×D67—82no—
512D4×D67—82no—
513C22×Dic67—21no—
514C22×Dic67—21no—
515C22×Dic67—21no—
516C22×Dic67C2×D411yescharacteristic
517C2×C4×D67—22no—
518C2×C4×D67—22no—
519C2×C4×D67—21no—
520C2×C4×D67—21no—
521C2×C4×D67—21no—
522C2×C4×D67—21no—
523C2×C4×D67—21no—
524C2×C4×D67—21no—
525C2×C4×D67—21no—
526C2×C4×D67—21no—
527C2×C4×D67—21no—
528C2×C4×D67—21no—
529C2×C4×D67—21no—
530C2×C4×D67—21no—
531C2×C4×D67—82no—
532C2×C4×D67—82no—
533C2×C4×D67—82no—
534C2×C4×D67C2×D411yescharacteristic
535C2×C4×D67C2×D411yescharacteristic
536C2×C4×D67C2×D411yescharacteristic
537C2×C4×D67C2×D411yescharacteristic
538C2×C4×D67C2×D411yescharacteristic
539C2×C4×D67C2×D411yescharacteristic
540C2×C4×D67C2411yescharacteristic
541C2×C4×D67C2411yescharacteristic
542C2×C67⋊C8C2411yescharacteristic
543C2×C67⋊C8C2411yescharacteristic
544C2×C67⋊C8C2411yescharacteristic
545C2×C67⋊C8C2411yescharacteristic
546C8×D67—22no—
547C8×D67—22no—
548C8×D67—22no—
549C8×D67—22no—
550C4⋊Dic67—21no—
551C4⋊Dic67—21no—
552C4⋊Dic67—21no—
553C4⋊Dic67—21no—
554C4⋊Dic67—21no—
555C4⋊Dic67—21no—
556C4⋊Dic67—21no—
557C4⋊Dic67—21no—
558C4⋊Dic67—21no—
559C4⋊Dic67C2×D411yescharacteristic
560C4⋊Dic67C2×D411yescharacteristic
561C4⋊Dic67C2411yescharacteristic
562C4⋊Dic67C2411yescharacteristic
563C4⋊Dic67C2411yescharacteristic
564C4⋊Dic67C2411yescharacteristic
565C4⋊Dic67C2411yescharacteristic
566C4⋊Dic67C2411yescharacteristic
567Dic67⋊C4—21no—
568Dic67⋊C4—21no—
569Dic67⋊C4—21no—
570Dic67⋊C4—21no—
571Dic67⋊C4—21no—
572Dic67⋊C4—21no—
573Dic67⋊C4—21no—
574Dic67⋊C4—21no—
575Dic67⋊C4—21no—
576Dic67⋊C4—21no—
577Dic67⋊C4—21no—
578Dic67⋊C4—21no—
579Dic67⋊C4—21no—
580Dic67⋊C4—21no—
581Dic67⋊C4—21no—
582Dic67⋊C4—21no—
583Dic67⋊C4—21no—
584Dic67⋊C4—21no—
585Dic67⋊C4—21no—
586Dic67⋊C4—21no—
587Dic67⋊C4—21no—
588Dic67⋊C4—21no—
589Dic67⋊C4—21no—
590Dic67⋊C4—21no—
591Dic67⋊C4C2×D411yescharacteristic
592Dic67⋊C4C2×D411yescharacteristic
593Dic67⋊C4C2×D411yescharacteristic
594Dic67⋊C4C2×D411yescharacteristic
595C22⋊Dic67—21no—
596C22⋊Dic67—21no—
597C22⋊Dic67—21no—
598C22⋊Dic67—21no—
599C22⋊Dic67—21no—
600C22⋊Dic67C2×D411yescharacteristic
601C22⋊Dic67C2×D411yescharacteristic
602(C2×D67)⋊C4—21no—
603(C2×D67)⋊C4—21no—
604(C2×D67)⋊C4—21no—
605(C2×D67)⋊C4—21no—
606(C2×D67)⋊C4—21no—
607(C2×D67)⋊C4—21no—
608(C2×D67)⋊C4—21no—
609(C2×D67)⋊C4—21no—
610(C2×D67)⋊C4—21no—
611(C2×D67)⋊C4—21no—
612(C2×D67)⋊C4C2×D411yescharacteristic
613(C2×D67)⋊C4C2×D411yescharacteristic
614(C2×D67)⋊C4C2×D411yescharacteristic
615(C2×D67)⋊C4C2×D411yescharacteristic
616C4×Dic67—21no—
617C4×Dic67—21no—
618C4×Dic67—21no—
619C4×Dic67C2×D411yescharacteristic
620C4×Dic67C2×D411yescharacteristic
621C4×Dic67C2×D411yescharacteristic
622C4×Dic67C2×D411yescharacteristic
623C4×Dic67C2411yescharacteristic
624C4×Dic67C2411yescharacteristic
625C2×Q8×C67—21no—
626C2×Q8×C67—21no—
627C2×D4×C67—21no—
628C2×D4×C67—21no—
629C2×D4×C67—21no—
630C2×D4×C67—21no—
631C2×D4×C67C2411yescharacteristic
632C2×D4×C67C2411yescharacteristic
633C22×C4×C67—21no—
634C22×C4×C67—21no—
635C22×C4×C67—21no—
636C22×C4×C67C2411yescharacteristic
637C2×C8×C67C2411yescharacteristic
638C2×C8×C67C2411yescharacteristic
639C2×C8×C67C2411yescharacteristic
640C2×C8×C67C2411yescharacteristic
641C4⋊C4×C67—21no—
642C4⋊C4×C67—21no—
643C4⋊C4×C67—21no—
644C4⋊C4×C67—21no—
645C4⋊C4×C67—21no—
646C4⋊C4×C67—21no—
647C4⋊C4×C67—21no—
648C4⋊C4×C67—21no—
649C4⋊C4×C67—21no—
650C4⋊C4×C67C2×D411yescharacteristic
651C4⋊C4×C67C2×D411yescharacteristic
652C4⋊C4×C67C2411yescharacteristic
653C4⋊C4×C67C2411yescharacteristic
654C4⋊C4×C67C2411yescharacteristic
655C4⋊C4×C67C2411yescharacteristic
656C4⋊C4×C67C2411yescharacteristic
657C4⋊C4×C67C2411yescharacteristic
658C22⋊C4×C67—21no—
659C22⋊C4×C67—21no—
660C22⋊C4×C67—21no—
661C22⋊C4×C67—21no—
662C22⋊C4×C67—21no—
663C22⋊C4×C67C2×D411yescharacteristic
664C22⋊C4×C67C2×D411yescharacteristic
665C42×C67—21no—
666C42×C67C2411yescharacteristic
667C42×C67C2411yescharacteristic
668C23×C67—21no—
669C23×C67—21no—
670C23×C67C22×D411yescharacteristic
671C22×D67—22no—
672C22×D67—22no—
673C22×D67—22no—
674C22×D67—21no—
675C22×D67—21no—
676C22×D67—42no—
677C22×D67—42no—
678C22×D67—42no—
679C22×D67—42no—
680C22×D67—42no—
681C22×D67—42no—
682C22×D67C22×D411yescharacteristic
683C22×D67C22×D411yescharacteristic
684Q8×C67—81no—
685Q8×C67—81no—
686D4×C67—21no—
687D4×C67—21no—
688D4×C67—21no—
689D4×C67—21no—
690D4×C67—81no—
691D4×C67—81no—
692D4×C67—81no—
693D4×C67—81no—
694C2×C4×C67—21no—
695C2×C4×C67—21no—
696C2×C4×C67—21no—
697C2×C4×C67—21no—
698C2×C4×C67—21no—
699C2×C4×C67—21no—
700C2×C4×C67—21no—
701C2×C4×C67—21no—
702C2×C4×C67—81no—
703C2×C4×C67—81no—
704C2×C4×C67—81no—
705C2×C4×C67C22×D411yescharacteristic
706C2×C4×C67C22×D411yescharacteristic
707C2×C4×C67C22×D411yescharacteristic
708C2×C4×C67C22×D411yescharacteristic
709C2×C4×C67C22×D411yescharacteristic
710C2×C4×C67C2511yescharacteristic
711C22⋊D67—42no—
712C22⋊D67—42no—
713C22⋊D67—81no—
714C22⋊D67—81no—
715C22⋊D67—81no—
716C22⋊D67—81no—
717C22⋊D67—81no—
718C22⋊D67—81no—
719C22⋊D67—81no—
720C22⋊D67—81no—
721C2×Dic67—22no—
722C2×Dic67—21no—
723C2×Dic67—21no—
724C2×Dic67—21no—
725C2×Dic67—21no—
726C2×Dic67—21no—
727C2×Dic67—21no—
728C2×Dic67—81no—
729C2×Dic67—81no—
730C2×Dic67—81no—
731C2×Dic67C22×D411yescharacteristic
732C2×Dic67C22×D411yescharacteristic
733C2×Dic67C22×D411yescharacteristic
734C2×Dic67C22×D411yescharacteristic
735C2×Dic67C22×D411yescharacteristic
736C2×Dic67C22×D411yescharacteristic
737D268—21no—
738D268—21no—
739D268—21no—
740D268—21no—
741D268—81no—
742D268—81no—
743D268—81no—
744D268—81no—
745C4×D67—22no—
746C4×D67—22no—
747C4×D67—22no—
748C4×D67—22no—
749C4×D67—22no—
750C4×D67—21no—
751C4×D67—21no—
752C4×D67—22no—
753C4×D67—42no—
754C4×D67—42no—
755C4×D67—42no—
756C4×D67—42no—
757C4×D67—42no—
758C4×D67—42no—
759C4×D67—81no—
760C4×D67—81no—
761C4×D67—81no—
762C4×D67—81no—
763C4×D67—81no—
764C4×D67—81no—
765C4×D672−1+412yes—
766C4×D672−1+412yes—
767Dic134—81no—
768Dic134—81no—
769Dic134—81no—
770Dic134—81no—
771Dic134—81no—
772Dic134—81no—
773C8×C67—21no—
774C8×C67—21no—
775C8×C67—21no—
776C8×C67—21no—
777C67⋊C8—21no—
778C67⋊C8—21no—
779C67⋊C8—21no—
780C67⋊C8—21no—
781C22×C67—21no—
782C22×C67—21no—
783C22×C67—21no—
784C22×C67—41no—
785C22×C67—41no—
786C22×C67—41no—
787C22×C67—41no—
788C22×C67—41no—
789C22×C67—41no—
790C22×C67C23×D411yescharacteristic
791C2×D67—21no—
792C2×D67—21no—
793C2×D67—21no—
794C2×D67—44no—
795C2×D67—41no—
796C2×D67—41no—
797C2×D67—41no—
798C2×D67—41no—
799C2×D67—41no—
800C2×D67—41no—
801C2×D67—84no—
802C2×D67—84no—
803C2×D67#53612yes—
804C2×D67#57612yes—
805C2×D67#57712yes—
806C4×C67—21no—
807C4×C67—21no—
808C4×C67—21no—
809C4×C67—21no—
810C4×C67—21no—
811C4×C67—41no—
812C4×C67—41no—
813C4×C67—41no—
814C4×C67—41no—
815C4×C67—41no—
816C4×C67—41no—
817C4×C67C2×2−1+411yescharacteristic
818C4×C67C2×2−1+411yescharacteristic
819Dic67—21no—
820Dic67—21no—
821Dic67—21no—
822Dic67—21no—
823Dic67—21no—
824Dic67—41no—
825Dic67—41no—
826Dic67—41no—
827Dic67—41no—
828Dic67—41no—
829Dic67—41no—
830Dic67#53612yes—
831C2×#3241—671nomaximal, Sylow
832C2×C67—41no—
833C2×C67—81no—
834C2×C67—81no—
835C2×C67C2×#53611yescharacteristic
836C2×C67C2×#57611yescharacteristic
837C2×C67C2×#57711yescharacteristic
838D67—41no—
839D67—81no—
840D67—81no—
841D67#324114yesdirect product factor
842C2×#544—671no—
843C2×#540—671no—
844#3241—671no—
845#3241—671no—
846#3241—671no—
847#3241—671no—
848#3241—671no—
849#3241—671no—
850#3241—671no—
851#3241—671no—
852#3241—671no—
853#3241—671no—
854#3241—671no—
855#3241—671no—
856#3241—671no—
857#3241—671no—
858#3241—671no—
859#3241D6711yescharacteristic, direct product factor
860C2×#501—671no—
861C2×#499—671no—
862C2×#490—671no—
863C2×#486—671no—
864C2×#481—671no—
865C2×#482—671no—
866C2×#482—671no—
867C2×#480—671no—
868C2×#478—671no—
869C2×#478—671no—
870C2×#476—671no—
871C2×#474—671no—
872C2×#433—671no—
873C67C2×#324111yescharacteristic, complemented, Sylow
874#544—671no—
875#544—671no—
876#544—671no—
877#544—671no—
878#544—671no—
879#544—671no—
880#544—671no—
881#544—1341no—
882#544—1341no—
883#544—1341no—
884#544—1341no—
885#544C2×D6711yescharacteristic, complemented
886#540—671no—
887#540—671no—
888#540—671no—
889#540—671no—
890#540—671no—
891#540—671no—
892#540—671no—
893#540—1341no—
894#540—1341no—
895#540—1341no—
896#540—1341no—
897#540C2×D6711yescharacteristic
898C2×C4⋊Q8—671no—
899C2×C4⋊Q8—671no—
900C2×C4⋊Q8—1341no—
901C2×#127—671no—
902C2×#125—671no—
903C2×#125—671no—
904C2×#125—671no—
905C2×#125—1341no—
906C2×#123—1341no—
907C2×#123—1341no—
908C2×C22⋊Q8—1341no—
909C2×C22⋊Q8—1341no—
910C2×#121—671no—
911C2×#121—671no—
912C2×#121—1341no—
913C2×#121—1341no—
914C2×C4×D4—671no—
915C2×C4×D4—671no—
916C2×#117—671no—
917C2×#117—671no—
918C22×C4⋊C4—671no—
919#501—671no—
920#501—671no—
921#501—671no—
922#501—671no—
923#501—671no—
924#501—671no—
925#501—671no—
926#501C2×D6711yescharacteristic, complemented
927#499—671no—
928#499—671no—
929#499—671no—
930#499—671no—
931#499—671no—
932#499—671no—
933#499—671no—
934#499C2×D6711yescharacteristic, complemented
935#490—671no—
936#490—671no—
937#490—671no—
938#490—671no—
939#490—671no—
940#490—671no—
941#490—671no—
942#490C2×D6711yescharacteristic, complemented
943#486—671no—
944#486—671no—
945#486—671no—
946#486—671no—
947#486—671no—
948#486—671no—
949#486—671no—
950#486C2×D6711yescharacteristic, complemented
951#482—671no—
952#482—671no—
953#482—671no—
954#482—671no—
955#482—671no—
956#482—671no—
957#482—671no—
958#482—671no—
959#482—671no—
960#482—671no—
961#482—671no—
962#482—671no—
963#482—671no—
964#482—671no—
965#482C2×D6711yescharacteristic, complemented
966#482C2×D6711yescharacteristic, complemented
967#481—671no—
968#481—671no—
969#481—671no—
970#481—671no—
971#481—671no—
972#481—671no—
973#481—671no—
974#481C2×D6711yescharacteristic, complemented
975#480—671no—
976#480—671no—
977#480—671no—
978#480—671no—
979#480—671no—
980#480—671no—
981#480—671no—
982#480C2×D6711yescharacteristic, complemented
983#478—671no—
984#478—671no—
985#478—671no—
986#478—671no—
987#478—671no—
988#478—671no—
989#478—671no—
990#478—671no—
991#478—671no—
992#478—671no—
993#478—671no—
994#478—671no—
995#478—671no—
996#478—671no—
997#478C2×D6711yescharacteristic, complemented
998#478C2×D6711yescharacteristic, complemented
999#476—671no—
1000#476—671no—
1001#476—671no—
1002#476—671no—
1003#476—671no—
1004#476—671no—
1005#476—671no—
1006#476C2×D6711yescharacteristic, complemented
1007#474—671no—
1008#474—671no—
1009#474—671no—
1010#474—671no—
1011#474—671no—
1012#474—671no—
1013#474—671no—
1014#474C2×D6711yescharacteristic, complemented
1015#433—671no—
1016#433—671no—
1017#433—671no—
1018#433—671no—
1019#433—671no—
1020#433—671no—
1021#433—671no—
1022#433C2×D6711yescharacteristic, complemented
1023C2×#107—671no—
1024C2×#107—671no—
1025C2×#107—671no—
1026C2×#107—671no—
1027C2×#106—671no—
1028C2×#106—671no—
1029C2×#106—671no—
1030C2×#106—671no—
1031C2×C4⋊C8—671no—
1032C2×C4⋊C8—671no—
1033C2×#102—671no—
1034C2×#102—671no—
1035C2×#102—671no—
1036C2×#102—671no—
1037C2×#102—671no—
1038C2×#102—671no—
1039C2×#102—671no—
1040C2×#102—671no—
1041C2×C22⋊C8—671no—
1042C2×C22⋊C8—671no—
1043C2×#97—671no—
1044C2×C4×C8—671no—
1045C22×Q8—1341no—
1046C22×Q8—1341no—
1047C22×D4—671no—
1048C22×D4—671no—
1049C22×D4—1341no—
1050C22×D4—1341no—
1051C22×D4—1341no—
1052C22×D4—1341no—
1053C23×C4—671no—
1054C23×C4—1341no—
1055C23×C4—1341no—
1056C23×C4—1341no—
1057C22×C8—671no—
1058C22×C8—671no—
1059C22×C8—671no—
1060C22×C8—671no—
1061C4⋊Q8—21no—
1062C4⋊Q8—671no—
1063C4⋊Q8—671no—
1064C4⋊Q8—671no—
1065C4⋊Q8—671no—
1066C4⋊Q8—671no—
1067C4⋊Q8—671no—
1068C4⋊Q8—1341no—
1069C4⋊Q8—1341no—
1070C4⋊Q8—1341no—
1071C4⋊Q8—1341no—
1072C4⋊Q8—1341no—
1073C4⋊Q8—1341no—
1074C4⋊Q8—1341no—
1075C4⋊Q8—1341no—
1076C4⋊Q8—1341no—
1077C4⋊Q8—1341no—
1078C4⋊Q8—1341no—
1079C4⋊Q8C22×D6711yescharacteristic
1080C4⋊Q8C22×D6711yescharacteristic
1081#127—671no—
1082#127—671no—
1083#127—671no—
1084#127—1341no—
1085#127—1341no—
1086#127C22×D6711yescharacteristic
1087#125—21no—
1088#125—671no—
1089#125—671no—
1090#125—671no—
1091#125—671no—
1092#125—671no—
1093#125—671no—
1094#125—671no—
1095#125—671no—
1096#125—671no—
1097#125—1341no—
1098#125—1341no—
1099#125—1341no—
1100#125—1341no—
1101#125—1341no—
1102#125—1341no—
1103#125—1341no—
1104#125—1341no—
1105#125—1341no—
1106#125—1341no—
1107#125—1341no—
1108#125—1341no—
1109#125—1341no—
1110#125C22×D6711yescharacteristic
1111#125C22×D6711yescharacteristic
1112#125C22×D6711yescharacteristic
1113#123—21no—
1114#123—21no—
1115#123—1341no—
1116#123—1341no—
1117#123—1341no—
1118#123—1341no—
1119#123—1341no—
1120#123—1341no—
1121#123—1341no—
1122#123—1341no—
1123#123—1341no—
1124#123—1341no—
1125#123—1341no—
1126#123—1341no—
1127#123—1341no—
1128#123—1341no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—1341no—
1132C22⋊Q8—1341no—
1133C22⋊Q8—1341no—
1134C22⋊Q8—1341no—
1135C22⋊Q8—1341no—
1136C22⋊Q8—1341no—
1137C22⋊Q8—1341no—
1138C22⋊Q8—1341no—
1139C22⋊Q8—1341no—
1140C22⋊Q8—1341no—
1141C22⋊Q8—1341no—
1142C22⋊Q8—1341no—
1143C22⋊Q8—1341no—
1144C22⋊Q8—1341no—
1145#121—21no—
1146#121—21no—
1147#121—671no—
1148#121—671no—
1149#121—671no—
1150#121—671no—
1151#121—671no—
1152#121—671no—
1153#121—1341no—
1154#121—1341no—
1155#121—1341no—
1156#121—1341no—
1157#121—1341no—
1158#121—1341no—
1159#121—1341no—
1160#121—1341no—
1161#121—1341no—
1162#121—1341no—
1163#121—1341no—
1164#121—1341no—
1165#121—1341no—
1166#121—1341no—
1167#121—1341no—
1168#121—1341no—
1169#121—1341no—
1170#121—1341no—
1171#121C22×D6711yescharacteristic
1172#121C22×D6711yescharacteristic
1173C4×D4—671no—
1174C4×D4—671no—
1175C4×D4—671no—
1176C4×D4—671no—
1177C4×D4—671no—
1178C4×D4—671no—
1179C4×D4—1341no—
1180C4×D4—1341no—
1181C4×D4—1341no—
1182C4×D4—1341no—
1183C4×D4C22×D6711yescharacteristic
1184C4×D4C22×D6711yescharacteristic
1185#117—671no—
1186#117—671no—
1187#117—671no—
1188#117—671no—
1189#117—671no—
1190#117—671no—
1191#117—671no—
1192#117—671no—
1193#117—671no—
1194#117—671no—
1195#117—1341no—
1196#117—1341no—
1197#117C22×D6711yescharacteristic
1198#117C22×D6711yescharacteristic
1199C2×C4⋊C4—671no—
1200C2×C4⋊C4—671no—
1201C2×C4⋊C4—671no—
1202C2×C4⋊C4—671no—
1203C2×C4⋊C4—671no—
1204C2×C4⋊C4—671no—
1205C2×C4⋊C4—671no—
1206C2×C4⋊C4—671no—
1207C2×C4⋊C4—671no—
1208C2×C4⋊C4—671no—
1209C2×C4⋊C4—671no—
1210C2×C4⋊C4—1341no—
1211C2×C4⋊C4—1341no—
1212C2×C4⋊C4—1341no—
1213C2×C4⋊C4—1341no—
1214C2×C4⋊C4—1341no—
1215C2×C4⋊C4—1341no—
1216C2×C4⋊C4—1341no—
1217C2×C4⋊C4—1341no—
1218C2×C4⋊C4—1341no—
1219C2×C4⋊C4—1341no—
1220C2×C4⋊C4—1341no—
1221C2×C4⋊C4C22×D6711yescharacteristic
1222C2×C22⋊C4—671no—
1223C2×C22⋊C4—671no—
1224C2×C22⋊C4—1341no—
1225C2×C22⋊C4—1341no—
1226C2×C22⋊C4—1341no—
1227C2×C22⋊C4—1341no—
1228C2×C22⋊C4—1341no—
1229C2×C42—671no—
1230C2×C42—671no—
1231C2×C42—1341no—
1232#107—671no—
1233#107—671no—
1234#107—671no—
1235#107—671no—
1236#107—671no—
1237#107—671no—
1238#107—671no—
1239#107—671no—
1240#107—671no—
1241#107—671no—
1242#107—671no—
1243#107—671no—
1244#107C22×D6711yescharacteristic
1245#107C22×D6711yescharacteristic
1246#107C22×D6711yescharacteristic
1247#107C22×D6711yescharacteristic
1248#106—671no—
1249#106—671no—
1250#106—671no—
1251#106—671no—
1252#106—671no—
1253#106—671no—
1254#106—671no—
1255#106—671no—
1256#106—671no—
1257#106—671no—
1258#106—671no—
1259#106—671no—
1260#106C22×D6711yescharacteristic
1261#106C22×D6711yescharacteristic
1262#106C22×D6711yescharacteristic
1263#106C22×D6711yescharacteristic
1264C4⋊C8—671no—
1265C4⋊C8—671no—
1266C4⋊C8—671no—
1267C4⋊C8—671no—
1268C4⋊C8—671no—
1269C4⋊C8—671no—
1270C4⋊C8C22×D6711yescharacteristic
1271C4⋊C8C22×D6711yescharacteristic
1272#102—671no—
1273#102—671no—
1274#102—671no—
1275#102—671no—
1276#102—671no—
1277#102—671no—
1278#102—671no—
1279#102—671no—
1280#102—671no—
1281#102—671no—
1282#102—671no—
1283#102—671no—
1284#102—671no—
1285#102—671no—
1286#102—671no—
1287#102—671no—
1288#102—671no—
1289#102—671no—
1290#102—671no—
1291#102—671no—
1292#102—671no—
1293#102—671no—
1294#102—671no—
1295#102—671no—
1296#102C22×D6711yescharacteristic
1297#102C22×D6711yescharacteristic
1298#102C22×D6711yescharacteristic
1299#102C22×D6711yescharacteristic
1300#102C22×D6711yescharacteristic
1301#102C22×D6711yescharacteristic
1302#102C22×D6711yescharacteristic
1303#102C22×D6711yescharacteristic
1304C22⋊C8—671no—
1305C22⋊C8—671no—
1306C22⋊C8—671no—
1307C22⋊C8—671no—
1308C22⋊C8—671no—
1309C22⋊C8—671no—
1310C22⋊C8C22×D6711yescharacteristic
1311C22⋊C8C22×D6711yescharacteristic
1312#97—671no—
1313#97—671no—
1314#97—671no—
1315#97C22×D6711yescharacteristic
1316C4×C8—671no—
1317C4×C8—671no—
1318C4×C8—671no—
1319C4×C8C22×D6711yescharacteristic
1320C24—671no—
1321C24—1341no—
1322C24—1341no—
1323C2×Q8—21no—
1324C2×Q8—21no—
1325C2×Q8—5362no—
1326C2×Q8—5362no—
1327C2×Q8—1341no—
1328C2×Q8—1341no—
1329C2×Q8—1341no—
1330C2×Q8—1341no—
1331C2×Q8—1341no—
1332C2×Q8—1341no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—5362no—
1338C2×D4—5362no—
1339C2×D4—5362no—
1340C2×D4—5362no—
1341C2×D4—671no—
1342C2×D4—671no—
1343C2×D4—1341no—
1344C2×D4—1341no—
1345C2×D4—1342no—
1346C2×D4—1342no—
1347C2×D4—1342no—
1348C2×D4—1342no—
1349C2×D4—1341no—
1350C2×D4—1341no—
1351C2×D4—1341no—
1352C2×D4—1341no—
1353C2×D4—1341no—
1354C2×D4—1341no—
1355C2×D4—1341no—
1356C2×D4—1341no—
1357C2×D4—1341no—
1358C2×D4—1341no—
1359C2×D4—1341no—
1360C2×D4—1341no—
1361C2×D4C23×D6711yescharacteristic
1362C2×D4C23×D6711yescharacteristic
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—5362no—
1367C22×C4—5362no—
1368C22×C4—5362no—
1369C22×C4—671no—
1370C22×C4—671no—
1371C22×C4—671no—
1372C22×C4—671no—
1373C22×C4—671no—
1374C22×C4—671no—
1375C22×C4—671no—
1376C22×C4—671no—
1377C22×C4—671no—
1378C22×C4—1341no—
1379C22×C4—1341no—
1380C22×C4—1341no—
1381C22×C4—1341no—
1382C22×C4—1341no—
1383C22×C4—1341no—
1384C22×C4—1341no—
1385C22×C4—1341no—
1386C22×C4—1341no—
1387C22×C4—1341no—
1388C22×C4—1342no—
1389C22×C4—1342no—
1390C22×C4—1341no—
1391C22×C4—1341no—
1392C22×C4—1341no—
1393C22×C4—1341no—
1394C22×C4—1341no—
1395C22×C4C23×D6711yescharacteristic
1396C2×C8—671no—
1397C2×C8—671no—
1398C2×C8—671no—
1399C2×C8—671no—
1400C2×C8—1342no—
1401C2×C8—1342no—
1402C2×C8—1342no—
1403C2×C8—1342no—
1404C2×C8C23×D6711yescharacteristic
1405C2×C8C23×D6711yescharacteristic
1406C2×C8C23×D6711yescharacteristic
1407C2×C8C23×D6711yescharacteristic
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—671no—
1418C4⋊C4—671no—
1419C4⋊C4—671no—
1420C4⋊C4—671no—
1421C4⋊C4—671no—
1422C4⋊C4—671no—
1423C4⋊C4—671no—
1424C4⋊C4—671no—
1425C4⋊C4—671no—
1426C4⋊C4—671no—
1427C4⋊C4—671no—
1428C4⋊C4—671no—
1429C4⋊C4—1341no—
1430C4⋊C4—1341no—
1431C4⋊C4—1341no—
1432C4⋊C4—1341no—
1433C4⋊C4—1341no—
1434C4⋊C4—1341no—
1435C4⋊C4—1341no—
1436C4⋊C4—1341no—
1437C4⋊C4—1341no—
1438C4⋊C4—1341no—
1439C4⋊C4—1341no—
1440C4⋊C4—1341no—
1441C4⋊C4—1341no—
1442C4⋊C4—1341no—
1443C4⋊C4—1341no—
1444C4⋊C4—1341no—
1445C4⋊C4—1341no—
1446C4⋊C4—1341no—
1447C4⋊C4—1341no—
1448C4⋊C4—1341no—
1449C4⋊C4—1341no—
1450C4⋊C4—1341no—
1451C4⋊C4—1341no—
1452C4⋊C4—1341no—
1453C4⋊C4—1341no—
1454C4⋊C4—1341no—
1455C4⋊C4—1341no—
1456C4⋊C4—1341no—
1457C4⋊C4—1341no—
1458C4⋊C4—1341no—
1459C4⋊C4—1341no—
1460C4⋊C4—1341no—
1461C4⋊C4—1341no—
1462C4⋊C4D4×D6711yescharacteristic
1463C4⋊C4D4×D6711yescharacteristic
1464C4⋊C4C23×D6711yescharacteristic
1465C4⋊C4C23×D6711yescharacteristic
1466C4⋊C4C23×D6711yescharacteristic
1467C4⋊C4C23×D6711yescharacteristic
1468C4⋊C4C23×D6711yescharacteristic
1469C4⋊C4C23×D6711yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—671no—
1476C22⋊C4—671no—
1477C22⋊C4—671no—
1478C22⋊C4—671no—
1479C22⋊C4—671no—
1480C22⋊C4—671no—
1481C22⋊C4—1341no—
1482C22⋊C4—1341no—
1483C22⋊C4—1341no—
1484C22⋊C4—1341no—
1485C22⋊C4—1341no—
1486C22⋊C4—1341no—
1487C22⋊C4—1341no—
1488C22⋊C4—1341no—
1489C22⋊C4—1341no—
1490C22⋊C4—1341no—
1491C22⋊C4—1341no—
1492C22⋊C4—1341no—
1493C22⋊C4—1341no—
1494C22⋊C4—1341no—
1495C22⋊C4—1341no—
1496C22⋊C4D4×D6711yescharacteristic
1497C22⋊C4D4×D6711yescharacteristic
1498C42—21no—
1499C42—671no—
1500C42—671no—
1501C42—671no—
1502C42—671no—
1503C42—671no—
1504C42—671no—
1505C42—1341no—
1506C42—1341no—
1507C42—1341no—
1508C42C23×D6711yescharacteristic
1509C42C23×D6711yescharacteristic
1510C23—21no—
1511C23—21no—
1512C23—2682no—
1513C23—2682no—
1514C23—2682no—
1515C23—2682no—
1516C23—2682no—
1517C23—2682no—
1518C23—671no—
1519C23—671no—
1520C23—1342no—
1521C23—1342no—
1522C23—1342no—
1523C23—1341no—
1524C23—1341no—
1525C23C2×D4×D6711yescharacteristic
1526Q8—81no—
1527Q8—81no—
1528Q8—5361no—
1529Q8—5361no—
1530Q8—5361no—
1531Q8—5361no—
1532Q8—5361no—
1533Q8—5361no—
1534D4—21no—
1535D4—21no—
1536D4—21no—
1537D4—21no—
1538D4—81no—
1539D4—81no—
1540D4—81no—
1541D4—81no—
1542D4—2682no—
1543D4—2682no—
1544D4—5361no—
1545D4—5361no—
1546D4—5361no—
1547D4—5361no—
1548D4—5361no—
1549D4—5361no—
1550D4—5361no—
1551D4—5361no—
1552D4—5361no—
1553D4—5361no—
1554D4—5361no—
1555D4—5361no—
1556D4—1341no—
1557D4—1341no—
1558D4—1341no—
1559D4—1341no—
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—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—2682no—
1572C2×C4—2682no—
1573C2×C4—2682no—
1574C2×C4—2682no—
1575C2×C4—2682no—
1576C2×C4—2682no—
1577C2×C4—5361no—
1578C2×C4—5361no—
1579C2×C4—5361no—
1580C2×C4—5361no—
1581C2×C4—5361no—
1582C2×C4—5361no—
1583C2×C4—5361no—
1584C2×C4—5361no—
1585C2×C4—5361no—
1586C2×C4—671no—
1587C2×C4—672no—
1588C2×C4—672no—
1589C2×C4—671no—
1590C2×C4—671no—
1591C2×C4—671no—
1592C2×C4—671no—
1593C2×C4—671no—
1594C2×C4—1342no—
1595C2×C4—1342no—
1596C2×C4—1342no—
1597C2×C4—1342no—
1598C2×C4—1342no—
1599C2×C4—1342no—
1600C2×C4—1341no—
1601C2×C4—1341no—
1602C2×C4—1341no—
1603C2×C4—1341no—
1604C2×C4—1341no—
1605C2×C4—1341no—
1606C2×C4—1342no—
1607C2×C4—1341no—
1608C2×C4—1341no—
1609C2×C4C2×D4×D6711yescharacteristic
1610C2×C4C2×D4×D6711yescharacteristic
1611C2×C4C2×D4×D6711yescharacteristic
1612C2×C4C2×D4×D6711yescharacteristic
1613C2×C4C2×D4×D6711yescharacteristic
1614C2×C4C24×D6711yescharacteristic
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—1341no—
1620C8—1341no—
1621C8—1341no—
1622C8—1341no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—2684no—
1633C22—2681no—
1634C22—2681no—
1635C22—2681no—
1636C22—2681no—
1637C22—2681no—
1638C22—2681no—
1639C22—5364no—
1640C22—5364no—
1641C22—672no—
1642C22—672no—
1643C22—672no—
1644C22—1341no—
1645C22—1341no—
1646C22—1341no—
1647C22C22×D4×D6711yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—2681no—
1660C4—2681no—
1661C4—2681no—
1662C4—2681no—
1663C4—2681no—
1664C4—2681no—
1665C4—672no—
1666C4—1341no—
1667C4—1341no—
1668C4—1341no—
1669C4—1341no—
1670C4—1341no—
1671C42−1+4×D6711yescharacteristic
1672C42−1+4×D6711yescharacteristic
1673C2—41no—
1674C2—81no—
1675C2—81no—
1676C2—2681no—
1677C2—5361no—
1678C2—5361no—
1679C2—674no—
1680C2#536×D6711yescharacteristic
1681C2#576×D6711yescharacteristic
1682C2#577×D6711yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3241C2
socleC22×C67C23×D4
prime radical#540×D67C2
hypercenter#3241D67
hypocenterC67C2×#3241
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
1. #544×D67C2semidirect
3. #22571469C2semidirect
4. #22571468C2semidirect
5. #22571467C2semidirect
6. #22571466C2semidirect
7. #22571465C2semidirect
8. #22571464C2semidirect
9. #22571463C2semidirect
10. #22571462C2semidirect
11. #22571461C2semidirect
12. #22571460C2semidirect
13. #22571459C2semidirect
14. #22571458C2semidirect
15. #22571457C2semidirect
16. #22571456C2semidirect
17. #22571455C2semidirect
18. #501×D67C2semidirect
19. #499×D67C2semidirect
20. #490×D67C2semidirect
21. #486×D67C2semidirect
22. #481×D67C2semidirect
23. #482×D67C2semidirect
24. #482×D67C2semidirect
25. #480×D67C2semidirect
26. #478×D67C2semidirect
27. #478×D67C2semidirect
28. #476×D67C2semidirect
29. #474×D67C2semidirect
30. #433×D67C2semidirect
31. C67×#3241C2semidirect
32. #16864027C22semidirect
34. #16864026C22semidirect
35. #16864026C22semidirect
38. #16864024C22semidirect
39. #16864024C22semidirect
41. #16864023C22semidirect
42. #16864023C22semidirect
75. #16863806C22semidirect
76. #16863805C22semidirect
77. #16863804C22semidirect
78. #16863804C22semidirect
79. #16863803C22semidirect
80. #16863803C22semidirect
81. #16863802C22semidirect
82. #16863798C22semidirect
83. #16863797C22semidirect
84. #16863797C22semidirect
85. #16863796C22semidirect
86. #16863796C22semidirect
87. #16863795C22semidirect
88. #16863795C22semidirect
89. #16863762C22semidirect
90. #16863761C22semidirect
91. #16863760C22semidirect
92. #16863759C22semidirect
93. #16863759C22semidirect
94. #16863759C22semidirect
95. #16863759C22semidirect
96. #16863744C22semidirect
97. #16863743C22semidirect
98. #16863742C22semidirect
99. #16863741C22semidirect
100. #16863741C22semidirect
101. #16863741C22semidirect
102. #16863741C22semidirect
103. #16863723C22semidirect
104. #16863723C22semidirect
105. #16863722C22semidirect
106. #16863722C22semidirect
107. #16863721C22semidirect
108. #16863721C22semidirect
109. #16863720C22semidirect
110. #16863720C22semidirect
111. #16863719C22semidirect
112. #16863719C22semidirect
113. #16863718C22semidirect
114. #16863718C22semidirect
115. #16863717C22semidirect
116. #16863717C22semidirect
117. #16863716C22semidirect
118. #16863716C22semidirect
119. #16863715C22semidirect
120. #16863714C22semidirect
121. #16863713C22semidirect
122. #16863713C22semidirect
123. #16863712C22semidirect
124. #16863711C22semidirect
125. #16863711C22semidirect
126. #16863710C22semidirect
127. #16863709C22semidirect
128. #16863708C22semidirect
129. #16863708C22semidirect
130. #16863707C22semidirect
131. #16863699C22semidirect
132. #16863699C22semidirect
133. #16863698C22semidirect
134. #16863698C22semidirect
135. #16863697C22semidirect
136. #16863697C22semidirect
137. #16863696C22semidirect
138. #16863696C22semidirect
139. #16863695C22semidirect
140. #16863695C22semidirect
141. #16863694C22semidirect
142. #16863694C22semidirect
143. #16863693C22semidirect
144. #16863693C22semidirect
145. #16863687C22semidirect
146. #16863686C22semidirect
147. #16863685C22semidirect
148. #16863685C22semidirect
149. #16863684C22semidirect
150. #16863684C22semidirect
151. #16863683C22semidirect
152. #16863677C22semidirect
153. #16863676C22semidirect
154. #16863675C22semidirect
155. #16863675C22semidirect
156. #16863674C22semidirect
157. #16863674C22semidirect
158. #16863673C22semidirect
159. #16863458C22semidirect
160. #16863457C22semidirect
161. #16863456C22semidirect
162. #16863456C22semidirect
163. #16863455C22semidirect
164. #16863454C22semidirect
165. #16863454C22semidirect
188. #544×C67C22semidirect
190. #501×C67C22semidirect
191. #499×C67C22semidirect
192. #490×C67C22semidirect
193. #486×C67C22semidirect
194. #482×C67C22semidirect
195. #482×C67C22semidirect
196. #481×C67C22semidirect
197. #480×C67C22semidirect
198. #478×C67C22semidirect
199. #478×C67C22semidirect
200. #476×C67C22semidirect
201. #474×C67C22semidirect
202. #433×C67C22semidirect
841. D67#3241direct (N × H)
859. #3241D67direct (N × H)
873. C67C2×#3241semidirect
885. #544C2×D67semidirect
926. #501C2×D67semidirect
934. #499C2×D67semidirect
942. #490C2×D67semidirect
950. #486C2×D67semidirect
965. #482C2×D67semidirect
966. #482C2×D67semidirect
974. #481C2×D67semidirect
982. #480C2×D67semidirect
997. #478C2×D67semidirect
998. #478C2×D67semidirect
1006. #476C2×D67semidirect
1014. #474C2×D67semidirect
1022. #433C2×D67semidirect

Maximal subgroups

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

subgroupindex
#544×D672
#540×D672
#225714692
#225714682
#225714672
#225714662
#225714652
#225714642
#225714632
#225714622
#225714612
#225714602
#225714592
#225714582
#225714572
#225714562
#225714552
#501×D672
#499×D672
#490×D672
#486×D672
#481×D672
#482×D672
#480×D672
#478×D672
#476×D672
#474×D672
#433×D672
C67×#32412
C2×#324167