Finite Group Databasebeta

← #3557×D67 #31763273

Subgroups — #3557×D67 #31763273

Order 17152.

6554 conjugacy classes of subgroups.

The subgroup lattice has 2070 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574717C211yesmaximal, characteristic, complemented
2#22574716C212yesmaximal, complemented
3#22574715C211yesmaximal, characteristic, complemented
4#22574714C211yesmaximal, characteristic, complemented
5#22574713C214yesmaximal, complemented
6#22574712C212yesmaximal, complemented
7#22574711C212yesmaximal, complemented
8#22574710C212yesmaximal, complemented
9#22574709C214yesmaximal, complemented
10#22574708C212yesmaximal, complemented
11#22574707C214yesmaximal, complemented
12#22574706C212yesmaximal, complemented
13#22574705C214yesmaximal, complemented
14#563×D67C214yesmaximal, complemented
15#559×D67C212yesmaximal, complemented
16#557×D67C212yesmaximal, complemented
17#556×D67C212yesmaximal, complemented
18#554×D67C212yesmaximal, complemented
19#552×D67C214yesmaximal, complemented
20#542×D67C214yesmaximal, complemented
21#542×D67C212yesmaximal, complemented
22#541×D67C211yesmaximal, characteristic, complemented
23#540×D67C211yesmaximal, characteristic
24#539×D67C214yesmaximal, complemented
25#533×D67C211yesmaximal, characteristic, complemented
26#529×D67C212yesmaximal, complemented
27C67×#3557C211yesmaximal, characteristic, complemented
28#16864150C2214yescomplemented
29#16864150C2214yescomplemented
30#16864149C2214yescomplemented
31#16864149C2214yescomplemented
32#16864148C2214yescomplemented
33#16864148C2214yescomplemented
34#16864148C2214yescomplemented
35#16864148C2214yescomplemented
36#16864147C2214yescomplemented
37#16864147C2214yescomplemented
38#16864147C2214yescomplemented
39#16864147C2214yescomplemented
40#16864146C2214yescomplemented
41#16864145C2214yescomplemented
42#16864145C2214yescomplemented
43#16864132C2212yescomplemented
44#16864131C2212yescomplemented
45#16864131C2212yescomplemented
46#16864130C2214yescomplemented
47#16864130C2214yescomplemented
48#16864129C2214yescomplemented
49#16864129C2212yescomplemented
50#16864129C2212yescomplemented
51#16864128C2214yescomplemented
52#16864128C2212yescomplemented
53#16864128C2212yescomplemented
54#16864125C2212yescomplemented
55#16864124C2214yescomplemented
56#16864124C2212yescomplemented
57#16864123C2214yescomplemented
58#16864123C2214yescomplemented
59#16864123C2212yescomplemented
60#16864123C2212yescomplemented
61#16864122C2212yescomplemented
62#16864122C2212yescomplemented
63#16864121C2214yescomplemented
64#16864121C2212yescomplemented
65#16864120C2212yescomplemented
66#16864119C2212yescomplemented
67#16864118C2212yescomplemented
68#16864118C2212yescomplemented
69#16864117C2214yescomplemented
70#16864116C2212yescomplemented
71#16864115C2212yescomplemented
72#16864115C2212yescomplemented
73#16864114C2214yescomplemented
74#16864113C2214yescomplemented
75#16864113C2214yescomplemented
76#16864107C2212yescomplemented
77#16864106C2212yescomplemented
78#16864105C2212yescomplemented
79#16864105C2212yescomplemented
80#16864104C2214yescomplemented
81#16864103C2212yescomplemented
82#16864102C2212yescomplemented
83#16864102C2212yescomplemented
84#16864101C2214yescomplemented
85#16864100C2214yescomplemented
86#16864100C2214yescomplemented
87#16864088C2214yescomplemented
88#16864087C2214yescomplemented
89#16864086C2214yescomplemented
90#16864085C2214yescomplemented
91#16864084C2214yescomplemented
92#16864083C2214yescomplemented
93#16864083C2214yescomplemented
94#16864082C2214yescomplemented
95#16864082C2214yescomplemented
96#16864081C2214yescomplemented
97#16864080C2214yescomplemented
98#16864079C2214yescomplemented
99#16864079C2214yescomplemented
100#16864078C2214yescomplemented
101#16864078C2214yescomplemented
102#16864020C2214yescomplemented
103#16864020C2212yescomplemented
104#16864019C2214yescomplemented
105#16864019C2212yescomplemented
106#16864018C2214yescomplemented
107#16864018C2212yescomplemented
108#16864017C2214yescomplemented
109#16864017C2212yescomplemented
110#16864016C2214yescomplemented
111#16864016C2214yescomplemented
112#16864016C2214yescomplemented
113#16864015C2212yescomplemented
114#16864015C2214yescomplemented
115#16864014C2214yescomplemented
116#16864014C2214yescomplemented
117#16864014C2214yescomplemented
118#16864013C2212yescomplemented
119#16864013C2214yescomplemented
120#16864012C2214yescomplemented
121#16864012C2214yescomplemented
122#16864012C2214yescomplemented
123#16864011C2212yescomplemented
124#16864011C2214yescomplemented
125#16864010C2214yescomplemented
126#16864010C2214yescomplemented
127#16864010C2214yescomplemented
128#16864009C2211yescharacteristic, complemented
129#16864008C2211yescharacteristic, complemented
130#16864007C2211yescharacteristic, complemented
131#16864006C2212yescomplemented
132#16864005C2214yescomplemented
133#16864004C2212yescomplemented
134#16864003C2214yescomplemented
135#16864002C2211yescharacteristic
136#16864001C2211yescharacteristic
137#16864000C2211yescharacteristic
138#16863999C2212yes—
139#16863998C2214yes—
140#16863997C2212yes—
141#16863996C2214yes—
142#16863995C2214yescomplemented
143#16863994C2214yescomplemented
144#16863994C2214yescomplemented
145#16863993C2214yescomplemented
146#16863992C2214yescomplemented
147#16863992C2214yescomplemented
148#16863991C2214yescomplemented
149#16863990C2214yescomplemented
150#16863990C2214yescomplemented
151#16863989C2214yescomplemented
152#16863989C2214yescomplemented
153#16863988C2214yescomplemented
154#16863988C2214yescomplemented
155#16863987C2214yescomplemented
156#16863987C2214yescomplemented
157#16863953C2211yescharacteristic, complemented
158#16863952C2212yescomplemented
159#16863951C2212yescomplemented
160#16863950C2212yescomplemented
161#16863950C2212yescomplemented
162#16863949C2211yescharacteristic, complemented
163#16863949C2211yescharacteristic, complemented
164#16863948C2212yescomplemented
165#16863948C2212yescomplemented
166C4⋊Q8×D67C2212yes—
167C4⋊Q8×D67C2214yes—
168C4⋊Q8×D67C2211yescharacteristic
169C4⋊Q8×D67C2212yes—
170#127×D67C2211yescharacteristic
171#16863933C2212yescomplemented
172#16863932C2212yescomplemented
173#16863931C2212yescomplemented
174#16863930C2212yescomplemented
175#16863929C2214yescomplemented
176#16863928C2212yescomplemented
177#16863927C2212yescomplemented
178#16863926C2214yescomplemented
179#16863925C2212yescomplemented
180#16863924C2214yescomplemented
181#16863923C2214yescomplemented
182#126×D67C2214yes—
183#126×D67C2214yes—
184#126×D67C2214yes—
185#126×D67C2214yes—
186#126×D67C2214yes—
187#125×D67C2214yes—
188#125×D67C2214yes—
189#125×D67C2211yescharacteristic
190#125×D67C2212yes—
191#125×D67C2214yes—
192#125×D67C2212yes—
193#125×D67C2211yescharacteristic
194#124×D67C2214yes—
195#124×D67C2214yes—
196#124×D67C2212yes—
197#124×D67C2212yes—
198#123×D67C2214yes—
199#123×D67C2214yes—
200#123×D67C2214yes—
201#123×D67C2214yes—
202#123×D67C2214yes—
203C22⋊Q8×D67C2214yes—
204C22⋊Q8×D67C2214yes—
205C22⋊Q8×D67C2214yes—
206C22⋊Q8×D67C2214yes—
207C22⋊Q8×D67C2212yes—
208C22⋊Q8×D67C2212yes—
209C22⋊Q8×D67C2214yes—
210C22⋊Q8×D67C2212yes—
211#121×D67C2212yes—
212#121×D67C2214yes—
213C4×Q8×D67C2212yes—
214C4×Q8×D67C2214yes—
215C4×Q8×D67C2212yes—
216C4×Q8×D67C2212yes—
217C4×Q8×D67C2212yes—
218C4×Q8×D67C2212yes—
219C4×D4×D67C2214yes—
220C4×D4×D67C2212yes—
221C4×D4×D67C2214yes—
222C4×D4×D67C2212yes—
223C4×D4×D67C2212yes—
224#117×D67C2211yescharacteristic
225#117×D67C2211yescharacteristic
226#117×D67C2214yes—
227#117×D67C2214yes—
228C2×C4⋊C4×D67C2214yes—
229C2×C42×D67C2211yescharacteristic
230#563×C67C2214yescomplemented
231#559×C67C2212yescomplemented
232#557×C67C2212yescomplemented
233#556×C67C2212yescomplemented
234#554×C67C2212yescomplemented
235#552×C67C2214yescomplemented
236#542×C67C2214yescomplemented
237#542×C67C2212yescomplemented
238#541×C67C2211yescharacteristic, complemented
239#540×C67C2211yescharacteristic
240#539×C67C2214yescomplemented
241#533×C67C2211yescharacteristic, complemented
242#529×C67C2212yescomplemented
243C2×Q8×D67C2312yes—
244C2×Q8×D67C2312yes—
245C2×Q8×D67C2314yes—
246C2×Q8×D67C2312yes—
247C2×D4×D67C2312yes—
248C2×D4×D67C2314yes—
249C2×D4×D67C2314yes—
250C22×C4×D67C2311yescharacteristic
251C22×C4×D67C2312yes—
252C22×C4×D67C2314yes—
253C22×C4×D67C2314yes—
254C22×C4×D67C2314yes—
255#14524043C2311yescharacteristic
256#14524043C2312yes—
257#14524043C2314yes—
258#14524043C2312yes—
259#14524042C2314yes—
260#14524042C2312yes—
261#14524042C2314yes—
262#14524042C2314yes—
263#14524042C2314yes—
264#14524042C2314yes—
265#14524042C2312yes—
266#14524042C2314yes—
267#14524042C2312yes—
268#14524042C2312yes—
269#14524042C2312yes—
270#14524042C2312yes—
271#14524041C2312yes—
272#14524041C2314yes—
273#14524041C2314yes—
274#14524041C2314yes—
275#14524041C2312yes—
276#14524041C2312yes—
277#14524040C2311yescharacteristic
278#14524039C2312yes—
279#14524039C2314yes—
280#14524038C2314yes—
281#14524038C2314yes—
282#14524038C2314yes—
283#14524038C2314yes—
284#14524038C2314yes—
285#14524038C2314yes—
286#14524038C2314yes—
287#14524038C2314yes—
288#14524038C2314yes—
289#14524038C2314yes—
290#14524038C2314yes—
291#14524038C2314yes—
292#14524038C2314yes—
293#14524038C2314yes—
294#14524038C2314yes—
295#14524037C2314yes—
296#14524037C2314yes—
297#14524037C2314yes—
298#14524037C2314yes—
299#14524037C2314yes—
300#14524036C2314yes—
301#14524036C2314yes—
302#14524036C2314yes—
303#14524036C2314yes—
304#14524036C2314yes—
305#14524036C2314yes—
306#14524036C2314yes—
307#14524036C2314yes—
308#14524036C2314yes—
309#14524036C2314yes—
310#14524036C2314yes—
311#14524036C2314yes—
312#14524036C2314yes—
313#14524036C2314yes—
314#14524036C2314yes—
315#14524035C2311yescharacteristic
316#14524035C2314yes—
317#14524035C2311yescharacteristic
318#14524035C2312yes—
319#14524035C2314yes—
320#14524035C2312yes—
321#14524035C2314yes—
322#14524034C2314yes—
323#14524034C2312yes—
324#14524034C2314yes—
325#14524034C2312yes—
326#14524034C2314yes—
327#14524034C2312yes—
328#14524034C2314yes—
329#14524034C2312yes—
330#14524034C2312yes—
331#14524034C2312yes—
332#14524034C2314yes—
333#14524034C2314yes—
334#14524033C2314yes—
335#14524033C2314yes—
336#14524033C2314yes—
337#14524033C2314yes—
338#14524033C2314yes—
339#14524033C2312yes—
340#14524033C2314yes—
341#14524033C2312yes—
342#14524033C2314yes—
343#14524033C2312yes—
344#14524033C2314yes—
345#14524033C2312yes—
346#14524033C2314yes—
347#14524033C2314yes—
348#14524033C2314yes—
349#14524033C2314yes—
350#14524033C2314yes—
351#14524033C2314yes—
352#14524033C2314yes—
353#14524033C2314yes—
354#14524032C2314yes—
355#14524032C2314yes—
356#14524032C2312yes—
357#14524032C2312yes—
358#14524031C2314yes—
359#14524031C2314yes—
360#14524031C2312yes—
361#14524031C2312yes—
362#14524030C2314yes—
363#14524030C2312yes—
364#14524030C2314yes—
365#14524030C2312yes—
366#14524029C2314yes—
367#14524029C2314yes—
368#14524029C2314yes—
369#14524029C2314yes—
370#14524029C2314yes—
371#14524029C2314yes—
372#14524029C2314yes—
373#14524029C2314yes—
374#14524029C2314yes—
375#14524029C2314yes—
376#14524029C2314yes—
377#14524029C2314yes—
378#14524028C2314yes—
379#14524028C2314yes—
380#14524028C2314yes—
381#14524028C2314yes—
382#14524028C2314yes—
383#14524028C2314yes—
384#14524028C2314yes—
385#14524028C2314yes—
386#14524028C2314yes—
387#14524028C2314yes—
388#14524027C2314yes—
389#14524027C2314yes—
390#14524027C2314yes—
391#14524027C2314yes—
392#14524027C2314yes—
393#14524026C2314yes—
394#14524026C2314yes—
395#14524026C2314yes—
396#14524026C2314yes—
397#14524026C2314yes—
398#14524025C2314yes—
399#14524025C2314yes—
400#14524025C2314yes—
401#14524025C2314yes—
402#14524025C2314yes—
403#14524025C2314yes—
404#14524025C2314yes—
405#14524025C2314yes—
406#14524025C2314yes—
407#14524025C2314yes—
408#14524024C2314yes—
409#14524024C2314yes—
410#14524024C2314yes—
411#14524024C2314yes—
412#14524024C2314yes—
413#14524023C2312yes—
414#14524023C2314yes—
415#14524023C2312yes—
416#14524023C2314yes—
417#14524023C2314yes—
418#14524023C2314yes—
419#14524023C2314yes—
420#14524023C2312yes—
421#14524022C2312yes—
422#14524022C2312yes—
423#14524022C2314yes—
424#14524022C2314yes—
425#14524022C2314yes—
426#14524022C2314yes—
427#14524022C2314yes—
428#14524022C2312yes—
429#14524021C2314yes—
430#14524021C2314yes—
431#14524021C2314yes—
432#14524021C2312yes—
433#14524021C2314yes—
434#14524021C2314yes—
435#14524021C2312yes—
436#14524021C2314yes—
437#14524021C2314yes—
438#14524021C2314yes—
439#14524021C2314yes—
440#14524021C2314yes—
441#14524021C2314yes—
442#14524021C2312yes—
443#14524021C2312yes—
444#14524020C2314yes—
445#14524020C2312yes—
446#14524020C2314yes—
447#14524020C2314yes—
448#14524020C2314yes—
449#14524020C2314yes—
450#14524020C2312yes—
451#14524020C2314yes—
452#14524020C2314yes—
453#14524020C2314yes—
454#14524020C2314yes—
455#14524020C2314yes—
456#14524020C2314yes—
457#14524020C2312yes—
458#14524020C2312yes—
459#14524019C2312yes—
460#14524019C2312yes—
461#14524019C2314yes—
462#14524019C2314yes—
463#14524019C2314yes—
464#14524019C2314yes—
465#14524019C2314yes—
466#14524019C2312yes—
467#14524018C2312yes—
468#14524018C2314yes—
469#14524017C2312yes—
470#14524017C2314yes—
471#14524016C2314yes—
472#14524016C2314yes—
473#14524016C2314yes—
474#14524015C2314yes—
475#14524015C2314yes—
476#14524015C2314yes—
477#14524014C2312yes—
478#14524014C2314yes—
479Q8×Dic67C2312yes—
480Q8×Dic67C2314yes—
481Q8×Dic67C2312yes—
482Q8×Dic67C2312yes—
483Q8×Dic67C2312yes—
484Q8×Dic67C2312yes—
485C4×Dic134C2314yes—
486C4×Dic134C2312yes—
487C4×Dic134C2314yes—
488C4×Dic134C2314yes—
489C4×Dic134C2314yes—
490C4×Dic134C2314yes—
491C4×Dic134C2312yes—
492C4×Dic134C2312yes—
493C4×Dic134C2312yes—
494C4×Dic134C2312yes—
495C4×Dic134C2314yes—
496C4×Dic134C2312yes—
497C4×Dic134C2312yes—
498C4×Dic134C2312yes—
499C4×Dic134C2312yes—
500#14524008C2314yes—
501#14524008C2312yes—
502#14524008C2314yes—
503#14524008C2312yes—
504#14524008C2314yes—
505#14524008C2314yes—
506#14524008C2314yes—
507#14524008C2312yes—
508#14524008C2312yes—
509#14524008C2312yes—
510#14524008C2314yes—
511#14524008C2312yes—
512#14524008C2312yes—
513#14524008C2312yes—
514#14524008C2312yes—
515C4×D268C2312yes—
516C4×D268C2312yes—
517C4×D268C2314yes—
518C4×D268C2314yes—
519C4×D268C2312yes—
520D4×Dic67C2312yes—
521D4×Dic67C2312yes—
522D4×Dic67C2314yes—
523D4×Dic67C2314yes—
524D4×Dic67C2312yes—
525#14524005C2312yes—
526#14524005C2312yes—
527#14524005C2314yes—
528#14524005C2314yes—
529#14524005C2312yes—
530C4×C22⋊D67C2314yes—
531C4×C22⋊D67C2314yes—
532C4×C22⋊D67C2314yes—
533C4×C22⋊D67C2314yes—
534C4×C22⋊D67C2314yes—
535C4×C22⋊D67C2314yes—
536C4×C22⋊D67C2314yes—
537(C22⋊D67)⋊C4C2314yes—
538(C22⋊D67)⋊C4C2314yes—
539(C22⋊D67)⋊C4C2314yes—
540(C22⋊D67)⋊C4C2314yes—
541(C22⋊D67)⋊C4C2314yes—
542(C22⋊D67)⋊C4C2314yes—
543(C22⋊D67)⋊C4C2314yes—
544#14524002C2311yescharacteristic
545#14524002C2311yescharacteristic
546#14524002C2314yes—
547#14524002C2314yes—
548#14524001C2312yes—
549#14524001C2312yes—
550#14524001C2314yes—
551#14524001C2314yes—
552#14524001C2314yes—
553#14524001C2314yes—
554#14524000C2311yescharacteristic
555#14524000C2311yescharacteristic
556#14524000C2312yes—
557#14524000C2314yes—
558#14524000C2314yes—
559#14524000C2314yes—
560#14524000C2314yes—
561#14523999C2312yes—
562#14523999C2311yescharacteristic
563#14523999C2314yes—
564#14523999C2311yescharacteristic
565#14523999C2314yes—
566#14523999C2314yes—
567#14523999C2314yes—
568C2×C4⋊Dic67C2314yes—
569C2×Dic67⋊C4C2314yes—
570C2×Dic67⋊C4C2314yes—
571C4⋊C4×D67C2314yes—
572C4⋊C4×D67C2314yes—
573C4⋊C4×D67C2314yes—
574C4⋊C4×D67C2314yes—
575C4⋊C4×D67C2312yes—
576C4⋊C4×D67C2314yes—
577C4⋊C4×D67C2314yes—
578C4⋊C4×D67C2314yes—
579C4⋊C4×D67C2312yes—
580C4⋊C4×D67C2314yes—
581C4⋊C4×D67C2312yes—
582C4⋊C4×D67C2314yes—
583C4⋊C4×D67C2312yes—
584C4⋊C4×D67C2312yes—
585C4⋊C4×D67C2312yes—
586C4⋊C4×D67C2312yes—
587C4⋊C4×D67C2314yes—
588C4⋊C4×D67C2312yes—
589C4⋊C4×D67C2314yes—
590C4⋊C4×D67C2312yes—
591C4⋊C4×D67C2314yes—
592C4⋊C4×D67C2312yes—
593C4⋊C4×D67C2314yes—
594C4⋊C4×D67C2314yes—
595C22⋊C4×D67C2314yes—
596C22⋊C4×D67C2312yes—
597C22⋊C4×D67C2314yes—
598C22⋊C4×D67C2311yescharacteristic
599C22⋊C4×D67C2311yescharacteristic
600C22⋊C4×D67C2314yes—
601C22⋊C4×D67C2314yes—
602C22⋊C4×D67C2314yes—
603C22⋊C4×D67C2314yes—
604C22⋊C4×D67C2314yes—
605C22⋊C4×D67C2314yes—
606C22⋊C4×D67C2314yes—
607C2×C4×Dic67C2312yes—
608C2×C4×Dic67C2311yescharacteristic
609C42×D67C2311yescharacteristic
610C42×D67C2312yes—
611C42×D67C2311yescharacteristic
612C42×D67C2311yescharacteristic
613C42×D67C2312yes—
614C42×D67C2311yescharacteristic
615C42×D67C2314yes—
616C42×D67C2311yescharacteristic
617C42×D67C2312yes—
618C42×D67C2311yescharacteristic
619C42×D67C2314yes—
620C42×D67C2314yes—
621C4⋊Q8×C67C2311yescharacteristic
622C4⋊Q8×C67C2312yes—
623C4⋊Q8×C67C2314yes—
624C4⋊Q8×C67C2312yes—
625#127×C67C2311yescharacteristic
626#126×C67C2314yes—
627#126×C67C2314yes—
628#126×C67C2314yes—
629#126×C67C2314yes—
630#126×C67C2314yes—
631#125×C67C2311yescharacteristic
632#125×C67C2314yes—
633#125×C67C2311yescharacteristic
634#125×C67C2312yes—
635#125×C67C2314yes—
636#125×C67C2312yes—
637#125×C67C2314yes—
638#124×C67C2314yes—
639#124×C67C2314yes—
640#124×C67C2312yes—
641#124×C67C2312yes—
642#123×C67C2314yes—
643#123×C67C2314yes—
644#123×C67C2314yes—
645#123×C67C2314yes—
646#123×C67C2314yes—
647C22⋊Q8×C67C2312yes—
648C22⋊Q8×C67C2312yes—
649C22⋊Q8×C67C2314yes—
650C22⋊Q8×C67C2314yes—
651C22⋊Q8×C67C2314yes—
652C22⋊Q8×C67C2312yes—
653C22⋊Q8×C67C2314yes—
654C22⋊Q8×C67C2314yes—
655#121×C67C2312yes—
656#121×C67C2314yes—
657C4×Q8×C67C2312yes—
658C4×Q8×C67C2314yes—
659C4×Q8×C67C2312yes—
660C4×Q8×C67C2312yes—
661C4×Q8×C67C2312yes—
662C4×Q8×C67C2312yes—
663C4×D4×C67C2314yes—
664C4×D4×C67C2312yes—
665C4×D4×C67C2312yes—
666C4×D4×C67C2314yes—
667C4×D4×C67C2312yes—
668#117×C67C2311yescharacteristic
669#117×C67C2311yescharacteristic
670#117×C67C2314yes—
671#117×C67C2314yes—
672C2×C4⋊C4×C67C2314yes—
673C2×C42×C67C2311yescharacteristic
674C23×D67C2411yescharacteristic
675C23×D67C2414yes—
676C2×Dic134C2414yes—
677C2×Dic134C2412yes—
678C2×Dic134C2412yes—
679C2×Dic134C2412yes—
680C2×Dic134C2412yes—
681C2×Dic134C2414yes—
682C2×Dic134C2414yes—
683C2×Dic134C2414yes—
684C2×Dic134C2412yes—
685C2×Dic134C2412yes—
686C2×Dic134C2412yes—
687Q8×D67—28no—
688Q8×D67—44no—
689Q8×D67—48no—
690Q8×D67—44no—
691C2×D268C2412yes—
692C2×D268C2414yes—
693C2×D268C2414yes—
694C2×C22⋊D67C2414yes—
695C2×C22⋊D67C2414yes—
696C2×C22⋊D67C2414yes—
697C2×C22⋊D67C2414yes—
698C2×C22⋊D67C2414yes—
699D4×D67—28no—
700D4×D67—48no—
701D4×D67—48no—
702C22×Dic67C2411yescharacteristic
703C22×Dic67C2412yes—
704C22×Dic67C2414yes—
705C22×Dic67C2414yes—
706C22×Dic67C2414yes—
707C2×C4×D67—24no—
708C2×C4×D67—48no—
709C2×C4×D67—44no—
710C2×C4×D67—48no—
711C2×C4×D67—48no—
712C2×C4×D67C2412yes—
713C2×C4×D67C2414yes—
714C2×C4×D67C2412yes—
715C2×C4×D67C2412yes—
716C2×C4×D67C2411yescharacteristic
717C2×C4×D67C2412yes—
718C2×C4×D67C2414yes—
719C2×C4×D67C2411yescharacteristic
720C2×C4×D67C2411yescharacteristic
721C2×C4×D67C2412yes—
722C2×C4×D67C2412yes—
723C2×C4×D67C2414yes—
724C2×C4×D67C2412yes—
725C2×C4×D67C2412yes—
726C2×C4×D67C2414yes—
727C2×C4×D67C2414yes—
728C2×C4×D67C2414yes—
729C2×C4×D67C2414yes—
730C2×C4×D67C2414yes—
731C2×C4×D67C2414yes—
732C2×C4×D67C2411yescharacteristic
733C4⋊Dic67C2412yes—
734C4⋊Dic67C2414yes—
735C4⋊Dic67C2414yes—
736C4⋊Dic67C2414yes—
737C4⋊Dic67C2412yes—
738C4⋊Dic67C2414yes—
739C4⋊Dic67C2414yes—
740C4⋊Dic67C2412yes—
741C4⋊Dic67C2412yes—
742C4⋊Dic67C2412yes—
743C4⋊Dic67C2412yes—
744C4⋊Dic67C2412yes—
745C4⋊Dic67C2414yes—
746C4⋊Dic67C2412yes—
747C4⋊Dic67C2414yes—
748C4⋊Dic67C2412yes—
749C4⋊Dic67C2412yes—
750C4⋊Dic67C2414yes—
751C4⋊Dic67C2414yes—
752C4⋊Dic67C2414yes—
753Dic67⋊C4C2412yes—
754Dic67⋊C4C2412yes—
755Dic67⋊C4C2414yes—
756Dic67⋊C4C2414yes—
757Dic67⋊C4C2414yes—
758Dic67⋊C4C2414yes—
759Dic67⋊C4C2414yes—
760Dic67⋊C4C2414yes—
761Dic67⋊C4C2412yes—
762Dic67⋊C4C2412yes—
763Dic67⋊C4C2412yes—
764Dic67⋊C4C2414yes—
765Dic67⋊C4C2414yes—
766Dic67⋊C4C2414yes—
767Dic67⋊C4C2414yes—
768Dic67⋊C4C2412yes—
769Dic67⋊C4C2412yes—
770Dic67⋊C4C2412yes—
771Dic67⋊C4C2412yes—
772Dic67⋊C4C2414yes—
773Dic67⋊C4C2412yes—
774Dic67⋊C4C2414yes—
775Dic67⋊C4C2414yes—
776Dic67⋊C4C2414yes—
777Dic67⋊C4C2412yes—
778Dic67⋊C4C2412yes—
779Dic67⋊C4C2414yes—
780Dic67⋊C4C2414yes—
781Dic67⋊C4C2412yes—
782Dic67⋊C4C2414yes—
783Dic67⋊C4C2414yes—
784Dic67⋊C4C2414yes—
785Dic67⋊C4C2412yes—
786Dic67⋊C4C2412yes—
787Dic67⋊C4C2412yes—
788Dic67⋊C4C2414yes—
789Dic67⋊C4C2414yes—
790Dic67⋊C4C2414yes—
791C22⋊Dic67C2414yes—
792C22⋊Dic67C2412yes—
793C22⋊Dic67C2414yes—
794C22⋊Dic67C2411yescharacteristic
795C22⋊Dic67C2411yescharacteristic
796C22⋊Dic67C2414yes—
797C22⋊Dic67C2414yes—
798C22⋊Dic67C2414yes—
799C22⋊Dic67C2414yes—
800C22⋊Dic67C2414yes—
801C22⋊Dic67C2414yes—
802C22⋊Dic67C2414yes—
803(C2×D67)⋊C4C2414yes—
804(C2×D67)⋊C4C2414yes—
805(C2×D67)⋊C4C2412yes—
806(C2×D67)⋊C4C2414yes—
807(C2×D67)⋊C4C2412yes—
808(C2×D67)⋊C4C2414yes—
809(C2×D67)⋊C4C2412yes—
810(C2×D67)⋊C4C2412yes—
811(C2×D67)⋊C4C2414yes—
812(C2×D67)⋊C4C2414yes—
813(C2×D67)⋊C4C2414yes—
814(C2×D67)⋊C4C2414yes—
815(C2×D67)⋊C4C2414yes—
816(C2×D67)⋊C4C2414yes—
817(C2×D67)⋊C4C2414yes—
818(C2×D67)⋊C4C2414yes—
819(C2×D67)⋊C4C2414yes—
820(C2×D67)⋊C4C2414yes—
821(C2×D67)⋊C4C2414yes—
822(C2×D67)⋊C4C2414yes—
823(C2×D67)⋊C4C2414yes—
824(C2×D67)⋊C4C2414yes—
825C4×Dic67C2411yescharacteristic
826C4×Dic67C2412yes—
827C4×Dic67C2412yes—
828C4×Dic67C2412yes—
829C4×Dic67C2412yes—
830C4×Dic67C2412yes—
831C4×Dic67C2411yescharacteristic
832C4×Dic67C2414yes—
833C4×Dic67C2414yes—
834C4×Dic67C2414yes—
835C4×Dic67C2412yes—
836C4×Dic67C2412yes—
837C4×Dic67C2412yes—
838C4×Dic67C2412yes—
839C4×Dic67C2414yes—
840C4×Dic67C2414yes—
841C4×Dic67C2411yescharacteristic
842C4×Dic67C2412yes—
843C4×Dic67C2414yes—
844C4×Dic67C2411yescharacteristic
845C4×Dic67C2414yes—
846C4×Dic67C2414yes—
847C4×Dic67C2414yes—
848C2×Q8×C67C2412yes—
849C2×Q8×C67C2412yes—
850C2×Q8×C67C2414yes—
851C2×Q8×C67C2412yes—
852C2×D4×C67C2412yes—
853C2×D4×C67C2414yes—
854C2×D4×C67C2414yes—
855C22×C4×C67C2411yescharacteristic
856C22×C4×C67C2412yes—
857C22×C4×C67C2414yes—
858C22×C4×C67C2414yes—
859C22×C4×C67C2414yes—
860C4⋊C4×C67C2412yes—
861C4⋊C4×C67C2414yes—
862C4⋊C4×C67C2414yes—
863C4⋊C4×C67C2414yes—
864C4⋊C4×C67C2412yes—
865C4⋊C4×C67C2414yes—
866C4⋊C4×C67C2412yes—
867C4⋊C4×C67C2414yes—
868C4⋊C4×C67C2412yes—
869C4⋊C4×C67C2412yes—
870C4⋊C4×C67C2412yes—
871C4⋊C4×C67C2412yes—
872C4⋊C4×C67C2414yes—
873C4⋊C4×C67C2412yes—
874C4⋊C4×C67C2414yes—
875C4⋊C4×C67C2412yes—
876C4⋊C4×C67C2414yes—
877C4⋊C4×C67C2412yes—
878C4⋊C4×C67C2414yes—
879C4⋊C4×C67C2414yes—
880C22⋊C4×C67C2414yes—
881C22⋊C4×C67C2412yes—
882C22⋊C4×C67C2414yes—
883C22⋊C4×C67C2411yescharacteristic
884C22⋊C4×C67C2411yescharacteristic
885C22⋊C4×C67C2414yes—
886C22⋊C4×C67C2414yes—
887C22⋊C4×C67C2414yes—
888C22⋊C4×C67C2414yes—
889C22⋊C4×C67C2414yes—
890C22⋊C4×C67C2414yes—
891C22⋊C4×C67C2414yes—
892C42×C67C2411yescharacteristic
893C42×C67C2412yes—
894C42×C67C2411yescharacteristic
895C42×C67C2414yes—
896C42×C67C2411yescharacteristic
897C42×C67C2412yes—
898C42×C67C2411yescharacteristic
899C42×C67C2414yes—
900C42×C67C2414yes—
901C23×C67C2511yescharacteristic
902C23×C67C2514yes—
903C22×D67—22no—
904C22×D67—28no—
905C22×D67—28no—
906C22×D67—24no—
907C22×D67—28no—
908C22×D67C2511yescharacteristic
909C22×D67C2514yes—
910C22×D67C2511yescharacteristic
911Q8×C67—24no—
912Q8×C67—42no—
913Q8×C67—44no—
914Q8×C67—42no—
915D4×C67—24no—
916D4×C67—44no—
917D4×C67—44no—
918C2×C4×C67—22no—
919C2×C4×C67—42no—
920C2×C4×C67—44no—
921C2×C4×C67—44no—
922C2×C4×C67—44no—
923C2×C4×C67C2512yes—
924C2×C4×C67C2514yes—
925C2×C4×C67C2512yes—
926C2×C4×C67C2512yes—
927C2×C4×C67C2511yescharacteristic
928C2×C4×C67C2512yes—
929C2×C4×C67C2514yes—
930C2×C4×C67C2512yes—
931C2×C4×C67C2512yes—
932C2×C4×C67C2514yes—
933C2×C4×C67C2511yescharacteristic
934C22⋊D67—28no—
935C22⋊D67—44no—
936C22⋊D67—44no—
937C22⋊D67—44no—
938C22⋊D67—44no—
939C2×Dic67—22no—
940C2×Dic67—42no—
941C2×Dic67—44no—
942C2×Dic67—44no—
943C2×Dic67—44no—
944C2×Dic67C2512yes—
945C2×Dic67C2514yes—
946C2×Dic67C2512yes—
947C2×Dic67C2512yes—
948C2×Dic67C2511yescharacteristic
949C2×Dic67C2512yes—
950C2×Dic67C2514yes—
951C2×Dic67C2512yes—
952C2×Dic67C2512yes—
953C2×Dic67C2514yes—
954C2×Dic67C2511yescharacteristic
955D268—24no—
956D268—44no—
957D268—44no—
958C4×D67—22no—
959C4×D67—28no—
960C4×D67—24no—
961C4×D67—28no—
962C4×D67—24no—
963C4×D67—24no—
964C4×D67—28no—
965C4×D67—24no—
966C4×D67—24no—
967C4×D67—24no—
968C4×D67—22no—
969C4×D67—22no—
970C4×D67—42no—
971C4×D67—44no—
972C4×D67—44no—
973C4×D67—44no—
974C4×D67—44no—
975C4×D67—44no—
976C4×D67—42no—
977C4×D67—44no—
978C4×D672−1+414yes—
979Dic134—24no—
980Dic134—28no—
981Dic134—42no—
982Dic134—44no—
983Dic134—44no—
984Dic134—42no—
985Dic134—42no—
986Dic134—42no—
987Dic134—42no—
988Dic134—42no—
989Dic134—44no—
990C22×C67—21no—
991C22×C67—24no—
992C22×C67—24no—
993C22×C67—22no—
994C22×C67—24no—
995C22×C67C2611yescharacteristic
996C2×D67—21no—
997C2×D67—24no—
998C2×D67—24no—
999C2×D67—22no—
1000C2×D67—24no—
1001C2×D67—44no—
1002C2×D67—416no—
1003C2×D67C2×2−1+412yes—
1004C2×D67#58514yes—
1005C4×C67—24no—
1006C4×C67—21no—
1007C4×C67—22no—
1008C4×C67—22no—
1009C4×C67—24no—
1010C4×C67—22no—
1011C4×C67—22no—
1012C4×C67—24no—
1013C4×C67—22no—
1014C4×C67—22no—
1015C4×C67C2×2−1+412yes—
1016Dic67—24no—
1017Dic67—21no—
1018Dic67—22no—
1019Dic67—22no—
1020Dic67—24no—
1021Dic67—22no—
1022Dic67—22no—
1023Dic67—24no—
1024Dic67—22no—
1025Dic67—22no—
1026Dic67C2×2−1+412yes—
1027C2×#3557—671nomaximal, Sylow
1028C2×C67—41no—
1029C2×C67—44no—
1030C2×C67C22×2−1+411yescharacteristic
1031C2×C67C2×#58512yes—
1032D67—41no—
1033D67—44no—
1034D67#355714yesdirect product factor
1035#3557—674no—
1036#3557—672no—
1037#3557—672no—
1038#3557—672no—
1039#3557—672no—
1040#3557—674no—
1041#3557—674no—
1042#3557—672no—
1043#3557—671no—
1044#3557—671no—
1045#3557—674no—
1046#3557—671no—
1047#3557—672no—
1048#3557D6711yescharacteristic, direct product factor
1049C2×#563—674no—
1050C2×#559—672no—
1051C2×#557—672no—
1052C2×#556—672no—
1053C2×#554—672no—
1054C2×#552—674no—
1055C2×#542—672no—
1056C2×#542—674no—
1057C2×#541—671no—
1058C2×#540—671no—
1059C2×#539—674no—
1060C2×#533—671no—
1061C2×#529—672no—
1062C67C2×#355711yescharacteristic, complemented, Sylow
1063#563—674no—
1064#563—674no—
1065#563—674no—
1066#563—674no—
1067#563—674no—
1068#563—674no—
1069#563—674no—
1070#563—674no—
1071#563—674no—
1072#563—674no—
1073#563—674no—
1074#563—674no—
1075#563—674no—
1076#563—674no—
1077#563—674no—
1078#563C2×D6714yescomplemented
1079#559—672no—
1080#559—672no—
1081#559—674no—
1082#559—672no—
1083#559—674no—
1084#559—674no—
1085#559—672no—
1086#559—672no—
1087#559—674no—
1088#559—672no—
1089#559—672no—
1090#559C2×D6712yescomplemented
1091#557—674no—
1092#557—672no—
1093#557—674no—
1094#557—672no—
1095#557—674no—
1096#557—672no—
1097#557—672no—
1098#557—672no—
1099#557—674no—
1100#557—672no—
1101#557—672no—
1102#557C2×D6712yescomplemented
1103#556—672no—
1104#556—674no—
1105#556—674no—
1106#556—672no—
1107#556—672no—
1108#556—674no—
1109#556—672no—
1110#556—672no—
1111#556—672no—
1112#556—672no—
1113#556—674no—
1114#556C2×D6712yescomplemented
1115#554—672no—
1116#554—672no—
1117#554—672no—
1118#554—674no—
1119#554—674no—
1120#554—674no—
1121#554—672no—
1122#554—672no—
1123#554—672no—
1124#554—672no—
1125#554—674no—
1126#554C2×D6712yescomplemented
1127#552—674no—
1128#552—674no—
1129#552—674no—
1130#552—674no—
1131#552—674no—
1132#552—674no—
1133#552—674no—
1134#552—674no—
1135#552—674no—
1136#552—674no—
1137#552—674no—
1138#552—674no—
1139#552—674no—
1140#552—674no—
1141#552—674no—
1142#552C2×D6714yescomplemented
1143#542—672no—
1144#542—674no—
1145#542—674no—
1146#542—674no—
1147#542—674no—
1148#542—674no—
1149#542—674no—
1150#542—674no—
1151#542—672no—
1152#542—674no—
1153#542—674no—
1154#542—674no—
1155#542—674no—
1156#542—674no—
1157#542—674no—
1158#542—674no—
1159#542—672no—
1160#542—674no—
1161#542—672no—
1162#542—674no—
1163#542—672no—
1164#542—674no—
1165#542—672no—
1166#542—674no—
1167#542—672no—
1168#542—674no—
1169#542C2×D6712yescomplemented
1170#542C2×D6714yescomplemented
1171#541—671no—
1172#541—674no—
1173#541—674no—
1174#541—671no—
1175#541—672no—
1176#541—672no—
1177#541—671no—
1178#541C2×D6711yescharacteristic, complemented
1179#540—671no—
1180#540—671no—
1181#540—674no—
1182#540—674no—
1183#540—672no—
1184#540—672no—
1185#540—671no—
1186#540C2×D6711yescharacteristic
1187#539—674no—
1188#539—674no—
1189#539—674no—
1190#539—674no—
1191#539—674no—
1192#539—674no—
1193#539—674no—
1194#539—674no—
1195#539—674no—
1196#539—674no—
1197#539—674no—
1198#539—674no—
1199#539—674no—
1200#539—674no—
1201#539—674no—
1202#539C2×D6714yescomplemented
1203#533—672no—
1204#533—672no—
1205#533—672no—
1206#533—672no—
1207#533—672no—
1208#533—672no—
1209#533—671no—
1210#533—671no—
1211#533—671no—
1212#533C2×D6711yescharacteristic, complemented
1213C2×C4⋊Q8—672no—
1214C2×C4⋊Q8—671no—
1215C2×C4⋊Q8—672no—
1216C2×C4⋊Q8—674no—
1217C2×#127—671no—
1218#529—674no—
1219#529—672no—
1220#529—672no—
1221#529—674no—
1222#529—672no—
1223#529—672no—
1224#529—672no—
1225#529—674no—
1226#529—672no—
1227#529—674no—
1228#529—672no—
1229#529C2×D6712yescomplemented
1230C2×#126—674no—
1231C2×#126—674no—
1232C2×#126—674no—
1233C2×#126—674no—
1234C2×#126—674no—
1235C2×#125—672no—
1236C2×#125—672no—
1237C2×#125—674no—
1238C2×#125—674no—
1239C2×#125—671no—
1240C2×#125—674no—
1241C2×#125—671no—
1242C2×#124—672no—
1243C2×#124—674no—
1244C2×#124—672no—
1245C2×#124—674no—
1246C2×#123—674no—
1247C2×#123—674no—
1248C2×#123—674no—
1249C2×#123—674no—
1250C2×#123—674no—
1251C2×C22⋊Q8—672no—
1252C2×C22⋊Q8—672no—
1253C2×C22⋊Q8—672no—
1254C2×C22⋊Q8—674no—
1255C2×C22⋊Q8—674no—
1256C2×C22⋊Q8—674no—
1257C2×C22⋊Q8—674no—
1258C2×C22⋊Q8—674no—
1259C2×#121—672no—
1260C2×#121—674no—
1261C2×C4×Q8—672no—
1262C2×C4×Q8—672no—
1263C2×C4×Q8—672no—
1264C2×C4×Q8—672no—
1265C2×C4×Q8—674no—
1266C2×C4×Q8—672no—
1267C2×C4×D4—674no—
1268C2×C4×D4—672no—
1269C2×C4×D4—674no—
1270C2×C4×D4—672no—
1271C2×C4×D4—672no—
1272C2×#117—674no—
1273C2×#117—671no—
1274C2×#117—671no—
1275C2×#117—674no—
1276C22×C4⋊C4—674no—
1277C22×C42—671no—
1278C22×Q8—672no—
1279C22×Q8—674no—
1280C22×Q8—672no—
1281C22×Q8—672no—
1282C22×D4—674no—
1283C22×D4—674no—
1284C22×D4—672no—
1285C23×C4—674no—
1286C23×C4—674no—
1287C23×C4—674no—
1288C23×C4—672no—
1289C23×C4—671no—
1290C4⋊Q8—672no—
1291C4⋊Q8—672no—
1292C4⋊Q8—672no—
1293C4⋊Q8—674no—
1294C4⋊Q8—674no—
1295C4⋊Q8—674no—
1296C4⋊Q8—672no—
1297C4⋊Q8—672no—
1298C4⋊Q8—672no—
1299C4⋊Q8—672no—
1300C4⋊Q8—674no—
1301C4⋊Q8—672no—
1302C4⋊Q8—672no—
1303C4⋊Q8—674no—
1304C4⋊Q8—674no—
1305C4⋊Q8—674no—
1306C4⋊Q8—674no—
1307C4⋊Q8—674no—
1308C4⋊Q8—672no—
1309C4⋊Q8—671no—
1310C4⋊Q8—672no—
1311C4⋊Q8—674no—
1312C4⋊Q8C22×D6712yes—
1313C4⋊Q8C22×D6711yescharacteristic
1314C4⋊Q8C22×D6712yes—
1315C4⋊Q8C22×D6714yes—
1316#127—672no—
1317#127—674no—
1318#127—671no—
1319#127C22×D6711yescharacteristic
1320#126—674no—
1321#126—674no—
1322#126—674no—
1323#126—674no—
1324#126—674no—
1325#126—674no—
1326#126—674no—
1327#126—674no—
1328#126—674no—
1329#126—674no—
1330#126—674no—
1331#126—674no—
1332#126—674no—
1333#126—674no—
1334#126—674no—
1335#126—674no—
1336#126—674no—
1337#126—674no—
1338#126—674no—
1339#126—674no—
1340#126—674no—
1341#126—674no—
1342#126—674no—
1343#126—674no—
1344#126—674no—
1345#126—674no—
1346#126—674no—
1347#126—674no—
1348#126—674no—
1349#126—674no—
1350#126—674no—
1351#126—674no—
1352#126—674no—
1353#126—674no—
1354#126—674no—
1355#126C22×D6714yes—
1356#126C22×D6714yes—
1357#126C22×D6714yes—
1358#126C22×D6714yes—
1359#126C22×D6714yes—
1360#125—674no—
1361#125—674no—
1362#125—672no—
1363#125—672no—
1364#125—672no—
1365#125—672no—
1366#125—672no—
1367#125—672no—
1368#125—672no—
1369#125—672no—
1370#125—674no—
1371#125—674no—
1372#125—674no—
1373#125—674no—
1374#125—674no—
1375#125—674no—
1376#125—674no—
1377#125—674no—
1378#125—674no—
1379#125—674no—
1380#125—674no—
1381#125—674no—
1382#125—674no—
1383#125—672no—
1384#125—674no—
1385#125—674no—
1386#125—674no—
1387#125—674no—
1388#125—674no—
1389#125—674no—
1390#125—674no—
1391#125—672no—
1392#125—672no—
1393#125—672no—
1394#125—674no—
1395#125—674no—
1396#125—671no—
1397#125—674no—
1398#125—671no—
1399#125C22×D6712yes—
1400#125C22×D6712yes—
1401#125C22×D6714yes—
1402#125C22×D6714yes—
1403#125C22×D6711yescharacteristic
1404#125C22×D6714yes—
1405#125C22×D6711yescharacteristic
1406#124—672no—
1407#124—674no—
1408#124—672no—
1409#124—674no—
1410#124—672no—
1411#124—674no—
1412#124—672no—
1413#124—674no—
1414#124—674no—
1415#124—674no—
1416#124—674no—
1417#124—674no—
1418#124—674no—
1419#124—674no—
1420#124—674no—
1421#124—674no—
1422#124—674no—
1423#124—674no—
1424#124—674no—
1425#124—674no—
1426#124—672no—
1427#124—674no—
1428#124—672no—
1429#124—674no—
1430#124C22×D6712yes—
1431#124C22×D6714yes—
1432#124C22×D6712yes—
1433#124C22×D6714yes—
1434#123—674no—
1435#123—674no—
1436#123—674no—
1437#123—674no—
1438#123—674no—
1439#123—674no—
1440#123—674no—
1441#123—674no—
1442#123—674no—
1443#123—674no—
1444#123—674no—
1445#123—674no—
1446#123—674no—
1447#123—674no—
1448#123—674no—
1449#123—674no—
1450#123—674no—
1451#123—674no—
1452#123—674no—
1453#123—674no—
1454#123—674no—
1455#123—674no—
1456#123—674no—
1457#123—674no—
1458#123—674no—
1459#123—674no—
1460#123—674no—
1461#123—674no—
1462#123—674no—
1463#123—674no—
1464#123—674no—
1465#123—674no—
1466#123—674no—
1467#123—674no—
1468#123—674no—
1469#123C22×D6714yes—
1470#123C22×D6714yes—
1471#123C22×D6714yes—
1472#123C22×D6714yes—
1473#123C22×D6714yes—
1474C22⋊Q8—672no—
1475C22⋊Q8—672no—
1476C22⋊Q8—672no—
1477C22⋊Q8—674no—
1478C22⋊Q8—674no—
1479C22⋊Q8—674no—
1480C22⋊Q8—674no—
1481C22⋊Q8—674no—
1482C22⋊Q8—672no—
1483C22⋊Q8—672no—
1484C22⋊Q8—672no—
1485C22⋊Q8—674no—
1486C22⋊Q8—674no—
1487C22⋊Q8—674no—
1488C22⋊Q8—674no—
1489C22⋊Q8—674no—
1490C22⋊Q8—674no—
1491C22⋊Q8—672no—
1492C22⋊Q8—672no—
1493C22⋊Q8—672no—
1494C22⋊Q8—672no—
1495C22⋊Q8—672no—
1496C22⋊Q8—672no—
1497C22⋊Q8—672no—
1498C22⋊Q8—674no—
1499C22⋊Q8—674no—
1500C22⋊Q8—674no—
1501C22⋊Q8—674no—
1502C22⋊Q8—674no—
1503C22⋊Q8—674no—
1504C22⋊Q8—674no—
1505C22⋊Q8—674no—
1506C22⋊Q8—674no—
1507C22⋊Q8—674no—
1508C22⋊Q8—674no—
1509C22⋊Q8—674no—
1510C22⋊Q8—674no—
1511C22⋊Q8—674no—
1512C22⋊Q8—674no—
1513C22⋊Q8—674no—
1514C22⋊Q8—672no—
1515C22⋊Q8—672no—
1516C22⋊Q8—672no—
1517C22⋊Q8—672no—
1518C22⋊Q8—674no—
1519C22⋊Q8—674no—
1520C22⋊Q8—674no—
1521C22⋊Q8—674no—
1522C22⋊Q8—674no—
1523C22⋊Q8—674no—
1524C22⋊Q8—674no—
1525C22⋊Q8—674no—
1526C22⋊Q8—674no—
1527C22⋊Q8—674no—
1528C22⋊Q8C22×D6712yes—
1529C22⋊Q8C22×D6712yes—
1530C22⋊Q8C22×D6712yes—
1531C22⋊Q8C22×D6714yes—
1532C22⋊Q8C22×D6714yes—
1533C22⋊Q8C22×D6714yes—
1534C22⋊Q8C22×D6714yes—
1535C22⋊Q8C22×D6714yes—
1536#121—672no—
1537#121—674no—
1538#121—674no—
1539#121—674no—
1540#121—674no—
1541#121—672no—
1542#121—674no—
1543#121—672no—
1544#121—674no—
1545#121—674no—
1546#121—674no—
1547#121—674no—
1548#121C22×D6712yes—
1549#121C22×D6714yes—
1550C4×Q8—672no—
1551C4×Q8—672no—
1552C4×Q8—672no—
1553C4×Q8—672no—
1554C4×Q8—674no—
1555C4×Q8—672no—
1556C4×Q8—674no—
1557C4×Q8—672no—
1558C4×Q8—672no—
1559C4×Q8—672no—
1560C4×Q8—672no—
1561C4×Q8—672no—
1562C4×Q8—672no—
1563C4×Q8—672no—
1564C4×Q8—674no—
1565C4×Q8—672no—
1566C4×Q8—674no—
1567C4×Q8—674no—
1568C4×Q8—674no—
1569C4×Q8—674no—
1570C4×Q8—672no—
1571C4×Q8—674no—
1572C4×Q8—672no—
1573C4×Q8—672no—
1574C4×Q8—672no—
1575C4×Q8—672no—
1576C4×Q8—672no—
1577C4×Q8—672no—
1578C4×Q8—672no—
1579C4×Q8—674no—
1580C4×Q8—672no—
1581C4×Q8—674no—
1582C4×Q8—674no—
1583C4×Q8—674no—
1584C4×Q8—674no—
1585C4×Q8—672no—
1586C4×Q8C22×D6712yes—
1587C4×Q8C22×D6712yes—
1588C4×Q8C22×D6712yes—
1589C4×Q8C22×D6712yes—
1590C4×Q8C22×D6714yes—
1591C4×Q8C22×D6712yes—
1592C4×D4—674no—
1593C4×D4—672no—
1594C4×D4—674no—
1595C4×D4—672no—
1596C4×D4—672no—
1597C4×D4—674no—
1598C4×D4—674no—
1599C4×D4—674no—
1600C4×D4—674no—
1601C4×D4—674no—
1602C4×D4—674no—
1603C4×D4—674no—
1604C4×D4—674no—
1605C4×D4—672no—
1606C4×D4—674no—
1607C4×D4—672no—
1608C4×D4—672no—
1609C4×D4—674no—
1610C4×D4—674no—
1611C4×D4—674no—
1612C4×D4—674no—
1613C4×D4—674no—
1614C4×D4—674no—
1615C4×D4—674no—
1616C4×D4—674no—
1617C4×D4—672no—
1618C4×D4—674no—
1619C4×D4—672no—
1620C4×D4—672no—
1621C4×D4C22×D6714yes—
1622C4×D4C22×D6712yes—
1623C4×D4C22×D6714yes—
1624C4×D4C22×D6712yes—
1625C4×D4C22×D6712yes—
1626#117—674no—
1627#117—671no—
1628#117—671no—
1629#117—674no—
1630#117—674no—
1631#117—674no—
1632#117—672no—
1633#117—672no—
1634#117—674no—
1635#117—674no—
1636#117—674no—
1637#117—674no—
1638#117—672no—
1639#117—671no—
1640#117—671no—
1641#117—674no—
1642#117—674no—
1643#117—674no—
1644#117—674no—
1645#117—671no—
1646#117—671no—
1647#117—672no—
1648#117—674no—
1649#117—674no—
1650#117C22×D6714yes—
1651#117C22×D6711yescharacteristic
1652#117C22×D6711yescharacteristic
1653#117C22×D6714yes—
1654C2×C4⋊C4—674no—
1655C2×C4⋊C4—674no—
1656C2×C4⋊C4—674no—
1657C2×C4⋊C4—672no—
1658C2×C4⋊C4—674no—
1659C2×C4⋊C4—674no—
1660C2×C4⋊C4—674no—
1661C2×C4⋊C4—674no—
1662C2×C4⋊C4—674no—
1663C2×C4⋊C4—674no—
1664C2×C4⋊C4—674no—
1665C2×C4⋊C4—672no—
1666C2×C4⋊C4—674no—
1667C2×C4⋊C4—672no—
1668C2×C4⋊C4—674no—
1669C2×C4⋊C4—672no—
1670C2×C4⋊C4—672no—
1671C2×C4⋊C4—672no—
1672C2×C4⋊C4—672no—
1673C2×C4⋊C4—674no—
1674C2×C4⋊C4—672no—
1675C2×C4⋊C4—674no—
1676C2×C4⋊C4—672no—
1677C2×C4⋊C4—674no—
1678C2×C4⋊C4—672no—
1679C2×C4⋊C4—674no—
1680C2×C4⋊C4—674no—
1681C2×C4⋊C4C22×D6714yes—
1682C2×C22⋊C4—674no—
1683C2×C22⋊C4—672no—
1684C2×C22⋊C4—674no—
1685C2×C22⋊C4—671no—
1686C2×C22⋊C4—671no—
1687C2×C22⋊C4—674no—
1688C2×C22⋊C4—674no—
1689C2×C22⋊C4—674no—
1690C2×C22⋊C4—674no—
1691C2×C22⋊C4—674no—
1692C2×C22⋊C4—674no—
1693C2×C22⋊C4—674no—
1694C2×C42—671no—
1695C2×C42—672no—
1696C2×C42—671no—
1697C2×C42—674no—
1698C2×C42—671no—
1699C2×C42—672no—
1700C2×C42—671no—
1701C2×C42—674no—
1702C2×C42—672no—
1703C2×C42—674no—
1704C2×C42—671no—
1705C2×C42—671no—
1706C2×C42—672no—
1707C2×C42—671no—
1708C2×C42C22×D6711yescharacteristic
1709C24—674no—
1710C24—671no—
1711C2×Q8—2684no—
1712C2×Q8—2688no—
1713C2×Q8—2684no—
1714C2×Q8—672no—
1715C2×Q8—672no—
1716C2×Q8—672no—
1717C2×Q8—674no—
1718C2×Q8—674no—
1719C2×Q8—674no—
1720C2×Q8—672no—
1721C2×Q8—672no—
1722C2×Q8—672no—
1723C2×Q8—674no—
1724C2×Q8—672no—
1725C2×Q8—1348no—
1726C2×Q8C23×D6712yes—
1727C2×Q8C23×D6712yes—
1728C2×Q8C23×D6714yes—
1729C2×Q8C23×D6712yes—
1730C2×D4—2688no—
1731C2×D4—2688no—
1732C2×D4—674no—
1733C2×D4—674no—
1734C2×D4—674no—
1735C2×D4—674no—
1736C2×D4—674no—
1737C2×D4—674no—
1738C2×D4—674no—
1739C2×D4—672no—
1740C2×D4—1348no—
1741C2×D4C23×D6712yes—
1742C2×D4C23×D6714yes—
1743C2×D4C23×D6714yes—
1744C22×C4—2688no—
1745C22×C4—2684no—
1746C22×C4—2688no—
1747C22×C4—2688no—
1748C22×C4—672no—
1749C22×C4—674no—
1750C22×C4—674no—
1751C22×C4—674no—
1752C22×C4—672no—
1753C22×C4—672no—
1754C22×C4—674no—
1755C22×C4—674no—
1756C22×C4—674no—
1757C22×C4—674no—
1758C22×C4—674no—
1759C22×C4—674no—
1760C22×C4—671no—
1761C22×C4—671no—
1762C22×C4—672no—
1763C22×C4—674no—
1764C22×C4—672no—
1765C22×C4—672no—
1766C22×C4—671no—
1767C22×C4—672no—
1768C22×C4—674no—
1769C22×C4—671no—
1770C22×C4—671no—
1771C22×C4—672no—
1772C22×C4—672no—
1773C22×C4—674no—
1774C22×C4—1344no—
1775C22×C4C23×D6711yescharacteristic
1776C22×C4C23×D6712yes—
1777C22×C4C23×D6714yes—
1778C22×C4C23×D6714yes—
1779C22×C4C23×D6714yes—
1780C4⋊C4—672no—
1781C4⋊C4—672no—
1782C4⋊C4—672no—
1783C4⋊C4—674no—
1784C4⋊C4—674no—
1785C4⋊C4—674no—
1786C4⋊C4—674no—
1787C4⋊C4—674no—
1788C4⋊C4—674no—
1789C4⋊C4—674no—
1790C4⋊C4—674no—
1791C4⋊C4—674no—
1792C4⋊C4—672no—
1793C4⋊C4—672no—
1794C4⋊C4—672no—
1795C4⋊C4—674no—
1796C4⋊C4—674no—
1797C4⋊C4—674no—
1798C4⋊C4—672no—
1799C4⋊C4—672no—
1800C4⋊C4—672no—
1801C4⋊C4—674no—
1802C4⋊C4—674no—
1803C4⋊C4—674no—
1804C4⋊C4—672no—
1805C4⋊C4—672no—
1806C4⋊C4—672no—
1807C4⋊C4—672no—
1808C4⋊C4—672no—
1809C4⋊C4—672no—
1810C4⋊C4—674no—
1811C4⋊C4—672no—
1812C4⋊C4—674no—
1813C4⋊C4—672no—
1814C4⋊C4—674no—
1815C4⋊C4—674no—
1816C4⋊C4—674no—
1817C4⋊C4—672no—
1818C4⋊C4—672no—
1819C4⋊C4—672no—
1820C4⋊C4—674no—
1821C4⋊C4—674no—
1822C4⋊C4—674no—
1823C4⋊C4—672no—
1824C4⋊C4—672no—
1825C4⋊C4—672no—
1826C4⋊C4—674no—
1827C4⋊C4—674no—
1828C4⋊C4—674no—
1829C4⋊C4—672no—
1830C4⋊C4—672no—
1831C4⋊C4—672no—
1832C4⋊C4—674no—
1833C4⋊C4—674no—
1834C4⋊C4—674no—
1835C4⋊C4—674no—
1836C4⋊C4—674no—
1837C4⋊C4—674no—
1838C4⋊C4C23×D6712yes—
1839C4⋊C4C23×D6714yes—
1840C4⋊C4C23×D6714yes—
1841C4⋊C4C23×D6714yes—
1842C4⋊C4C23×D6712yes—
1843C4⋊C4C23×D6714yes—
1844C4⋊C4C23×D6712yes—
1845C4⋊C4C23×D6714yes—
1846C4⋊C4C23×D6712yes—
1847C4⋊C4C23×D6712yes—
1848C4⋊C4C23×D6712yes—
1849C4⋊C4C23×D6712yes—
1850C4⋊C4C23×D6714yes—
1851C4⋊C4C23×D6712yes—
1852C4⋊C4C23×D6714yes—
1853C4⋊C4C23×D6712yes—
1854C4⋊C4C23×D6714yes—
1855C4⋊C4C23×D6712yes—
1856C4⋊C4C23×D6714yes—
1857C4⋊C4C23×D6714yes—
1858C22⋊C4—674no—
1859C22⋊C4—672no—
1860C22⋊C4—674no—
1861C22⋊C4—671no—
1862C22⋊C4—671no—
1863C22⋊C4—674no—
1864C22⋊C4—674no—
1865C22⋊C4—674no—
1866C22⋊C4—674no—
1867C22⋊C4—674no—
1868C22⋊C4—674no—
1869C22⋊C4—674no—
1870C22⋊C4—674no—
1871C22⋊C4—674no—
1872C22⋊C4—672no—
1873C22⋊C4—672no—
1874C22⋊C4—674no—
1875C22⋊C4—674no—
1876C22⋊C4—672no—
1877C22⋊C4—672no—
1878C22⋊C4—674no—
1879C22⋊C4—674no—
1880C22⋊C4—674no—
1881C22⋊C4—674no—
1882C22⋊C4—674no—
1883C22⋊C4—674no—
1884C22⋊C4—674no—
1885C22⋊C4—674no—
1886C22⋊C4—674no—
1887C22⋊C4—674no—
1888C22⋊C4—674no—
1889C22⋊C4—674no—
1890C22⋊C4—674no—
1891C22⋊C4—674no—
1892C22⋊C4C23×D6714yes—
1893C22⋊C4C23×D6712yes—
1894C22⋊C4C23×D6714yes—
1895C22⋊C4C23×D6711yescharacteristic
1896C22⋊C4C23×D6711yescharacteristic
1897C22⋊C4C23×D6714yes—
1898C22⋊C4C23×D6714yes—
1899C22⋊C4C23×D6714yes—
1900C22⋊C4C23×D6714yes—
1901C22⋊C4C23×D6714yes—
1902C22⋊C4C23×D6714yes—
1903C22⋊C4C23×D6714yes—
1904C42—671no—
1905C42—672no—
1906C42—672no—
1907C42—672no—
1908C42—672no—
1909C42—672no—
1910C42—671no—
1911C42—674no—
1912C42—674no—
1913C42—674no—
1914C42—672no—
1915C42—671no—
1916C42—672no—
1917C42—672no—
1918C42—672no—
1919C42—672no—
1920C42—671no—
1921C42—674no—
1922C42—674no—
1923C42—674no—
1924C42—674no—
1925C42—674no—
1926C42—674no—
1927C42C23×D6711yescharacteristic
1928C42C23×D6712yes—
1929C42C23×D6711yescharacteristic
1930C42C23×D6714yes—
1931C42C23×D6711yescharacteristic
1932C42C23×D6712yes—
1933C42C23×D6711yescharacteristic
1934C42C23×D6714yes—
1935C42C23×D6714yes—
1936C23—671no—
1937C23—671no—
1938C23—674no—
1939C23—1348no—
1940C23—1348no—
1941C23—1344no—
1942C23—1342no—
1943C23—1348no—
1944C23C24×D6711yescharacteristic
1945C23C24×D6714yes—
1946Q8—24no—
1947Q8—42no—
1948Q8—44no—
1949Q8—42no—
1950Q8—2682no—
1951Q8—2682no—
1952Q8—2684no—
1953Q8—2684no—
1954Q8—2682no—
1955Q8—2682no—
1956Q8—2682no—
1957Q8—2684no—
1958Q8—2682no—
1959Q8—1348no—
1960Q8—1344no—
1961D4—24no—
1962D4—44no—
1963D4—44no—
1964D4—2684no—
1965D4—2684no—
1966D4—2684no—
1967D4—2684no—
1968D4—2684no—
1969D4—2684no—
1970D4—1348no—
1971D4—1344no—
1972C2×C4—22no—
1973C2×C4—44no—
1974C2×C4—42no—
1975C2×C4—44no—
1976C2×C4—44no—
1977C2×C4—2684no—
1978C2×C4—2682no—
1979C2×C4—2684no—
1980C2×C4—2684no—
1981C2×C4—2684no—
1982C2×C4—2684no—
1983C2×C4—2684no—
1984C2×C4—2682no—
1985C2×C4—2684no—
1986C2×C4—2682no—
1987C2×C4—2684no—
1988C2×C4—2684no—
1989C2×C4—671no—
1990C2×C4—674no—
1991C2×C4—672no—
1992C2×C4—674no—
1993C2×C4—672no—
1994C2×C4—672no—
1995C2×C4—671no—
1996C2×C4—672no—
1997C2×C4—674no—
1998C2×C4—672no—
1999C2×C4—672no—
2000C2×C4—674no—
2001C2×C4—1342no—
2002C2×C4—1344no—
2003C2×C4—1348no—
2004C2×C4—1344no—
2005C2×C4—1344no—
2006C2×C4—1348no—
2007C2×C4—1344no—
2008C2×C4—1342no—
2009C2×C4—1344no—
2010C2×C4—1344no—
2011C2×C4—1348no—
2012C2×C4—1342no—
2013C2×C4—1342no—
2014C2×C4C24×D6712yes—
2015C2×C4C24×D6714yes—
2016C2×C4C24×D6712yes—
2017C2×C4C24×D6712yes—
2018C2×C4C24×D6711yescharacteristic
2019C2×C4C24×D6712yes—
2020C2×C4C24×D6714yes—
2021C2×C4C24×D6712yes—
2022C2×C4C24×D6712yes—
2023C2×C4C24×D6714yes—
2024C2×C4C24×D6711yescharacteristic
2025C22—21no—
2026C22—24no—
2027C22—24no—
2028C22—22no—
2029C22—24no—
2030C22—26816no—
2031C22—2684no—
2032C22—672no—
2033C22—674no—
2034C22—1341no—
2035C22—1344no—
2036C22—1344no—
2037C22—1342no—
2038C22—1344no—
2039C22C25×D6711yescharacteristic
2040C4—21no—
2041C4—24no—
2042C4—22no—
2043C4—24no—
2044C4—22no—
2045C4—22no—
2046C4—24no—
2047C4—22no—
2048C4—22no—
2049C4—22no—
2050C4—672no—
2051C4—1341no—
2052C4—1344no—
2053C4—1342no—
2054C4—1344no—
2055C4—1342no—
2056C4—1342no—
2057C4—1344no—
2058C4—1342no—
2059C4—1342no—
2060C4—1342no—
2061C42−1+4×D6712yes—
2062C2—41no—
2063C2—44no—
2064C2—2681no—
2065C2—2684no—
2066C2—674no—
2067C2C2×2−1+4×D6711yescharacteristic
2068C2#585×D6712yes—
subgroupG/H
center, FrattiniC22C25×D67
commutator, socle, cosocleC22×C67C26
FittingC67×#3557C2
prime radical#540×D67C2
hypercenter#3557D67
hypocenterC67C2×#3557
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C22 ◁ #3557

Complements

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

NH ≅ G/Ntype
1. #22574717C2semidirect
2. #22574716C2semidirect
3. #22574715C2semidirect
4. #22574714C2semidirect
5. #22574713C2semidirect
6. #22574712C2semidirect
7. #22574711C2semidirect
8. #22574710C2semidirect
9. #22574709C2semidirect
10. #22574708C2semidirect
11. #22574707C2semidirect
12. #22574706C2semidirect
13. #22574705C2semidirect
14. #563×D67C2semidirect
15. #559×D67C2semidirect
16. #557×D67C2semidirect
17. #556×D67C2semidirect
18. #554×D67C2semidirect
19. #552×D67C2semidirect
20. #542×D67C2semidirect
21. #542×D67C2semidirect
22. #541×D67C2semidirect
24. #539×D67C2semidirect
25. #533×D67C2semidirect
26. #529×D67C2semidirect
27. C67×#3557C2semidirect
28. #16864150C22semidirect
29. #16864150C22semidirect
30. #16864149C22semidirect
31. #16864149C22semidirect
32. #16864148C22semidirect
33. #16864148C22semidirect
34. #16864148C22semidirect
35. #16864148C22semidirect
36. #16864147C22semidirect
37. #16864147C22semidirect
38. #16864147C22semidirect
39. #16864147C22semidirect
40. #16864146C22semidirect
41. #16864145C22semidirect
42. #16864145C22semidirect
43. #16864132C22semidirect
44. #16864131C22semidirect
45. #16864131C22semidirect
46. #16864130C22semidirect
47. #16864130C22semidirect
48. #16864129C22semidirect
49. #16864129C22semidirect
50. #16864129C22semidirect
51. #16864128C22semidirect
52. #16864128C22semidirect
53. #16864128C22semidirect
54. #16864125C22semidirect
55. #16864124C22semidirect
56. #16864124C22semidirect
57. #16864123C22semidirect
58. #16864123C22semidirect
59. #16864123C22semidirect
60. #16864123C22semidirect
61. #16864122C22semidirect
62. #16864122C22semidirect
63. #16864121C22semidirect
64. #16864121C22semidirect
65. #16864120C22semidirect
66. #16864119C22semidirect
67. #16864118C22semidirect
68. #16864118C22semidirect
69. #16864117C22semidirect
70. #16864116C22semidirect
71. #16864115C22semidirect
72. #16864115C22semidirect
73. #16864114C22semidirect
74. #16864113C22semidirect
75. #16864113C22semidirect
76. #16864107C22semidirect
77. #16864106C22semidirect
78. #16864105C22semidirect
79. #16864105C22semidirect
80. #16864104C22semidirect
81. #16864103C22semidirect
82. #16864102C22semidirect
83. #16864102C22semidirect
84. #16864101C22semidirect
85. #16864100C22semidirect
86. #16864100C22semidirect
87. #16864088C22semidirect
88. #16864087C22semidirect
89. #16864086C22semidirect
90. #16864085C22semidirect
91. #16864084C22semidirect
92. #16864083C22semidirect
93. #16864083C22semidirect
94. #16864082C22semidirect
95. #16864082C22semidirect
96. #16864081C22semidirect
97. #16864080C22semidirect
98. #16864079C22semidirect
99. #16864079C22semidirect
100. #16864078C22semidirect
101. #16864078C22semidirect
102. #16864020C22semidirect
103. #16864020C22semidirect
104. #16864019C22semidirect
105. #16864019C22semidirect
106. #16864018C22semidirect
107. #16864018C22semidirect
108. #16864017C22semidirect
109. #16864017C22semidirect
110. #16864016C22semidirect
111. #16864016C22semidirect
112. #16864016C22semidirect
113. #16864015C22semidirect
114. #16864015C22semidirect
115. #16864014C22semidirect
116. #16864014C22semidirect
117. #16864014C22semidirect
118. #16864013C22semidirect
119. #16864013C22semidirect
120. #16864012C22semidirect
121. #16864012C22semidirect
122. #16864012C22semidirect
123. #16864011C22semidirect
124. #16864011C22semidirect
125. #16864010C22semidirect
126. #16864010C22semidirect
127. #16864010C22semidirect
128. #16864009C22semidirect
129. #16864008C22semidirect
130. #16864007C22semidirect
131. #16864006C22semidirect
132. #16864005C22semidirect
133. #16864004C22semidirect
134. #16864003C22semidirect
142. #16863995C22semidirect
143. #16863994C22semidirect
144. #16863994C22semidirect
145. #16863993C22semidirect
146. #16863992C22semidirect
147. #16863992C22semidirect
148. #16863991C22semidirect
149. #16863990C22semidirect
150. #16863990C22semidirect
151. #16863989C22semidirect
152. #16863989C22semidirect
153. #16863988C22semidirect
154. #16863988C22semidirect
155. #16863987C22semidirect
156. #16863987C22semidirect
157. #16863953C22semidirect
158. #16863952C22semidirect
159. #16863951C22semidirect
160. #16863950C22semidirect
161. #16863950C22semidirect
162. #16863949C22semidirect
163. #16863949C22semidirect
164. #16863948C22semidirect
165. #16863948C22semidirect
171. #16863933C22semidirect
172. #16863932C22semidirect
173. #16863931C22semidirect
174. #16863930C22semidirect
175. #16863929C22semidirect
176. #16863928C22semidirect
177. #16863927C22semidirect
178. #16863926C22semidirect
179. #16863925C22semidirect
180. #16863924C22semidirect
181. #16863923C22semidirect
230. #563×C67C22semidirect
231. #559×C67C22semidirect
232. #557×C67C22semidirect
233. #556×C67C22semidirect
234. #554×C67C22semidirect
235. #552×C67C22semidirect
236. #542×C67C22semidirect
237. #542×C67C22semidirect
238. #541×C67C22semidirect
240. #539×C67C22semidirect
241. #533×C67C22semidirect
242. #529×C67C22semidirect
1034. D67#3557direct (N × H)
1048. #3557D67direct (N × H)
1062. C67C2×#3557semidirect
1078. #563C2×D67semidirect
1090. #559C2×D67semidirect
1102. #557C2×D67semidirect
1114. #556C2×D67semidirect
1126. #554C2×D67semidirect
1142. #552C2×D67semidirect
1169. #542C2×D67semidirect
1170. #542C2×D67semidirect
1178. #541C2×D67semidirect
1202. #539C2×D67semidirect
1212. #533C2×D67semidirect
1229. #529C2×D67semidirect

Maximal subgroups

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

subgroupindex
#225747172
#225747162
#225747152
#225747142
#225747132
#225747122
#225747112
#225747102
#225747092
#225747082
#225747072
#225747062
#225747052
#563×D672
#559×D672
#557×D672
#556×D672
#554×D672
#552×D672
#542×D672
#541×D672
#540×D672
#539×D672
#533×D672
#529×D672
C67×#35572
C2×#355767