Finite Group Databasebeta

← #31728294

Subgroups — #31728294

Order 17152.

1700 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22573942C211yesmaximal, characteristic
2#22573613C211yesmaximal, characteristic, complemented
3#22571511C211yesmaximal, characteristic, complemented
4#22571498C211yesmaximal, characteristic, complemented
5#22571486C211yesmaximal, characteristic, complemented
6#22571466C211yesmaximal, characteristic, complemented
7#22571464C211yesmaximal, characteristic, complemented
8#22571462C211yesmaximal, characteristic, complemented
9#22571460C211yesmaximal, characteristic, complemented
10#22571454C211yesmaximal, characteristic, complemented
11#22571444C211yesmaximal, characteristic, complemented
12#22571408C211yesmaximal, characteristic, complemented
13#22571405C211yesmaximal, characteristic, complemented
14#22571392C211yesmaximal, characteristic, complemented
15#22571383C211yesmaximal, characteristic, complemented
16#22571346C211yesmaximal, characteristic, complemented
17#22571344C211yesmaximal, characteristic, complemented
18#22570744C211yesmaximal, characteristic, complemented
19#22570734C211yesmaximal, characteristic, complemented
20#22570562C211yesmaximal, characteristic, complemented
21#22570560C211yesmaximal, characteristic, complemented
22#22570146C211yesmaximal, characteristic, complemented
23#22570141C211yesmaximal, characteristic, complemented
24#22570123C211yesmaximal, characteristic, complemented
25#482×D67C211yesmaximal, characteristic, complemented
26#22570068C211yesmaximal, characteristic, complemented
27#22570063C211yesmaximal, characteristic, complemented
28#22570039C211yesmaximal, characteristic, complemented
29#22570035C211yesmaximal, characteristic, complemented
30#22568865C211yesmaximal, characteristic, complemented
31C67×#3244C211yesmaximal, characteristic, complemented
32#16864108—21no—
33#16864097—21no—
34#16864091—21no—
35#16864073—21no—
36#16864071—21no—
37#16864048—21no—
38#16864039—21no—
39#16864038—21no—
40#16864027C2211yescharacteristic, complemented
41#16864026—21no—
42#16864026C2211yescharacteristic
43#16864026C2211yescharacteristic
44#16864024C2211yescharacteristic, complemented
45#16864024C2211yescharacteristic, complemented
46#16864023—21no—
47#16864023C2211yescharacteristic
48#16864023C2211yescharacteristic
49#16864023C2211yescharacteristic
50#16864021—21no—
51#16864021—21no—
52#16864019C2211yescharacteristic
53#16864001C2211yescharacteristic
54#16863999C2211yescharacteristic
55#16863964C2211yescharacteristic
56#16863952—21no—
57#16863952C2211yescharacteristic, complemented
58#16863952C2211yescharacteristic, complemented
59#16863951—21no—
60#16863951C2211yescharacteristic, complemented
61#16863951C2211yescharacteristic, complemented
62#16863948—21no—
63#16863948—21no—
64#16863947C2211yescharacteristic
65#16863943C2211yescharacteristic
66#16863933C2211yescharacteristic
67#16863925C2211yescharacteristic
68#16863909C2211yescharacteristic
69#121×D67C2211yescharacteristic
70#16863878C2211yescharacteristic
71#16863868C2211yescharacteristic
72C2×#14524001C2211yescharacteristic
73#117×D67C2211yescharacteristic
74#117×D67C2211yescharacteristic
75#16863805C2211yescharacteristic, complemented
76#16863804C2211yescharacteristic, complemented
77#16863803C2211yescharacteristic, complemented
78#16863803C2211yescharacteristic, complemented
79#16863803C2211yescharacteristic, complemented
80#16863802C2211yescharacteristic, complemented
81#16863802C2211yescharacteristic, complemented
82#16863800C2211yescharacteristic, complemented
83#16863799C2211yescharacteristic, complemented
84#16863798C2211yescharacteristic, complemented
85#16863796C2211yescharacteristic, complemented
86#16863796C2211yescharacteristic, complemented
87#16863795C2211yescharacteristic, complemented
88#16863793C2211yescharacteristic, complemented
89#16863762C2211yescharacteristic, complemented
90#16863761C2211yescharacteristic, complemented
91#16863759C2211yescharacteristic, complemented
92#16863759C2211yescharacteristic, complemented
93#16863757C2211yescharacteristic, complemented
94#16863757C2211yescharacteristic, complemented
95#16863755C2211yescharacteristic, complemented
96#16863752C2211yescharacteristic, complemented
97#16863752C2211yescharacteristic, complemented
98#16863750C2211yescharacteristic, complemented
99#16863744C2211yescharacteristic, complemented
100#16863743C2211yescharacteristic, complemented
101#16863741C2211yescharacteristic, complemented
102#16863741C2211yescharacteristic, complemented
103#16863736C2211yescharacteristic, complemented
104#16863735C2211yescharacteristic, complemented
105#16863735C2211yescharacteristic, complemented
106#16863735C2211yescharacteristic, complemented
107#16863734C2211yescharacteristic, complemented
108#16863729C2211yescharacteristic, complemented
109#16863723C2211yescharacteristic
110#16863723C2211yescharacteristic, complemented
111#16863722C2211yescharacteristic
112#16863722C2211yescharacteristic
113#16863722C2211yescharacteristic
114#16863722C2211yescharacteristic, complemented
115#16863722C2211yescharacteristic, complemented
116#16863722C2211yescharacteristic, complemented
117#16863721C2211yescharacteristic
118#16863721C2211yescharacteristic, complemented
119#16863720C2211yescharacteristic
120#16863720C2211yescharacteristic, complemented
121#16863719C2211yescharacteristic
122#16863718C2211yescharacteristic
123#16863718C2211yescharacteristic
124#16863718C2211yescharacteristic
125#16863717C2211yescharacteristic
126#16863715C2211yescharacteristic, complemented
127#16863714C2211yescharacteristic
128#16863710C2211yescharacteristic
129#16863709C2211yescharacteristic, complemented
130#16863707C2211yescharacteristic
131#16863705C2211yescharacteristic, complemented
132#16863705C2211yescharacteristic, complemented
133#16863703C2211yescharacteristic, complemented
134#16863698C2211yescharacteristic, complemented
135#16863698C2211yescharacteristic, complemented
136#16863697C2211yescharacteristic, complemented
137#16863697C2211yescharacteristic, complemented
138#16863696C2211yescharacteristic, complemented
139#16863695C2211yescharacteristic, complemented
140#16863695C2211yescharacteristic, complemented
141#16863695C2211yescharacteristic, complemented
142#16863695C2211yescharacteristic, complemented
143#16863693C2211yescharacteristic, complemented
144#16863693C2211yescharacteristic, complemented
145#16863691C2211yescharacteristic, complemented
146#16863689C2211yescharacteristic, complemented
147#16863687C2211yescharacteristic, complemented
148#16863685C2211yescharacteristic, complemented
149#16863685C2211yescharacteristic, complemented
150#16863684C2211yescharacteristic, complemented
151#16863683C2211yescharacteristic, complemented
152#16863679C2211yescharacteristic, complemented
153#16863677C2211yescharacteristic, complemented
154#16863676C2211yescharacteristic, complemented
155#16863675C2211yescharacteristic, complemented
156#16863675C2211yescharacteristic, complemented
157#16863674C2211yescharacteristic, complemented
158#16863673C2211yescharacteristic, complemented
159#16863457C2211yescharacteristic, complemented
160#16863454C2211yescharacteristic, complemented
161#16863454C2211yescharacteristic, complemented
162#16863452C2211yescharacteristic, complemented
163#16863451C2211yescharacteristic, complemented
164#16863448C2211yescharacteristic, complemented
165#16863447C2211yescharacteristic, complemented
166#16863437C2211yescharacteristic
167#16863435C2211yescharacteristic
168#16863435C2211yescharacteristic
169#16863435C2211yescharacteristic
170#16863431C2211yescharacteristic
171#16863431C2211yescharacteristic
172#107×D67C2211yescharacteristic
173#106×D67C2211yescharacteristic
174#16863421C2211yescharacteristic
175#16863421C2211yescharacteristic
176#16863399C2211yescharacteristic
177#16863399C2211yescharacteristic
178#16863396C2211yescharacteristic
179#16863396C2211yescharacteristic
180#16863391C2211yescharacteristic
181#16863391C2211yescharacteristic
182#102×D67C2211yescharacteristic
183#102×D67C2211yescharacteristic
184#16863358C2211yescharacteristic
185C22⋊C8×D67C2211yescharacteristic
186#16863353C2211yescharacteristic
187#16863350C2211yescharacteristic
188#544×C67C2211yescharacteristic, complemented
189#542×C67C2211yescharacteristic
190#501×C67C2211yescharacteristic, complemented
191#498×C67C2211yescharacteristic, complemented
192#489×C67C2211yescharacteristic, complemented
193#488×C67C2211yescharacteristic, complemented
194#485×C67C2211yescharacteristic, complemented
195#483×C67C2211yescharacteristic, complemented
196#482×C67C2211yescharacteristic
197#481×C67C2211yescharacteristic
198#479×C67C2211yescharacteristic, complemented
199#478×C67C2211yescharacteristic, complemented
200#476×C67C2211yescharacteristic, complemented
201#475×C67C2211yescharacteristic, complemented
202#433×C67C2211yescharacteristic, complemented
203C2×#11761629—21no—
204C2×#11761629C2311yescharacteristic
205C2×#11761628—21no—
206C2×D4×D67—21no—
207C2×D4×D67C2311yescharacteristic
208C22×C4×D67C2311yescharacteristic
209C2×#11761611C2311yescharacteristic
210C2×#11761611C2311yescharacteristic
211C2×C8×D67C2311yescharacteristic
212C2×C8×D67C2311yescharacteristic
213#14524043—21no—
214#14524043C2311yescharacteristic
215#14524043C2311yescharacteristic
216#14524042—21no—
217#14524042—21no—
218#14524042—21no—
219#14524042—21no—
220#14524042C2311yescharacteristic
221#14524042C2311yescharacteristic
222#14524042C2311yescharacteristic
223#14524042C2311yescharacteristic
224#14524042C2311yescharacteristic
225#14524041—21no—
226#14524041—21no—
227#14524041—21no—
228#14524040C2311yescharacteristic
229#14524039C2311yescharacteristic
230#14524038—21no—
231#14524038—21no—
232#14524036—21no—
233#14524035—21no—
234#14524035C2311yescharacteristic
235#14524035C2311yescharacteristic
236#14524035C2311yescharacteristic
237#14524034—21no—
238#14524034—21no—
239#14524034C2311yescharacteristic
240#14524034C2311yescharacteristic
241#14524034C2311yescharacteristic
242#14524034C2311yescharacteristic
243#14524034C2311yescharacteristic
244#14524033—21no—
245#14524033—21no—
246#14524033—21no—
247#14524033—21no—
248#14524033—21no—
249#14524032—21no—
250#14524032C2311yescharacteristic
251#14524029—21no—
252#14524029—21no—
253#14524028—21no—
254#14524028—21no—
255#14524028—21no—
256#14524028—21no—
257#14524027—21no—
258#14524025—21no—
259#14524025—21no—
260#14524025—21no—
261#14524023—21no—
262#14524023—21no—
263#14524023—21no—
264#14524023—21no—
265#14524023—21no—
266#14524022—21no—
267#14524022—21no—
268#14524021—21no—
269#14524021—21no—
270#14524021—21no—
271#14524021—21no—
272#14524021—21no—
273#14524021—21no—
274#14524021—21no—
275#14524021—21no—
276#14524021—21no—
277#14524020—21no—
278#14524020—21no—
279#14524020—21no—
280#14524020—21no—
281#14524019—21no—
282#14524019—21no—
283#14524019—21no—
284#14524019—21no—
285#14524019—21no—
286#14524019C2311yescharacteristic
287#14524018—21no—
288#14524018C2311yescharacteristic
289#14524018C2311yescharacteristic
290#14524017C2311yescharacteristic
291#14524017C2311yescharacteristic
292#14524016—21no—
293#14524016—21no—
294#14524016—21no—
295#14524016—21no—
296#14524016—21no—
297#14524016—21no—
298#14524015—21no—
299#14524015—21no—
300#14524014—21no—
301#14524014C2311yescharacteristic
302#14524013—21no—
303#14524013—21no—
304#14524013—21no—
305Q8×Dic67—21no—
306Q8×Dic67—21no—
307Q8×Dic67C2311yescharacteristic
308#14524008—21no—
309#14524008—21no—
310#14524008—21no—
311#14524008—21no—
312#14524008—21no—
313#14524008—21no—
314C4×D268—21no—
315C4×D268—21no—
316C4×D268C2311yescharacteristic
317C4×D268C2311yescharacteristic
318D4×Dic67C2311yescharacteristic
319#14524005—21no—
320#14524005—21no—
321#14524005—21no—
322#14524005C2311yescharacteristic
323#14524005C2311yescharacteristic
324C4×C22⋊D67—21no—
325C4×C22⋊D67—21no—
326(C22⋊D67)⋊C4—21no—
327(C22⋊D67)⋊C4—21no—
328(C22⋊D67)⋊C4—21no—
329#14524002C2311yescharacteristic
330#14524002C2311yescharacteristic
331#14524001—21no—
332#14524001—21no—
333#14524001D411yescharacteristic
334#14524001D411yescharacteristic
335#14524001C2311yescharacteristic
336#14524001C2311yescharacteristic
337#14524001C2311yescharacteristic
338#14524001C2311yescharacteristic
339#14524001C2311yescharacteristic
340#14524001C2311yescharacteristic
341#14524001C2311yescharacteristic
342#14524000—21no—
343#14524000—21no—
344#14524000—21no—
345#14524000C2311yescharacteristic
346#14524000C2311yescharacteristic
347#14523999—21no—
348#14523999—21no—
349#14523999D411yescharacteristic
350#14523999D411yescharacteristic
351C2×C4⋊Dic67C2311yescharacteristic
352C4⋊C4×D67—21no—
353C4⋊C4×D67D411yescharacteristic
354C4⋊C4×D67D411yescharacteristic
355C4⋊C4×D67C2311yescharacteristic
356C4⋊C4×D67C2311yescharacteristic
357C4⋊C4×D67C2311yescharacteristic
358C2×(C2×D67)⋊C4—21no—
359C2×(C2×D67)⋊C4—21no—
360C22⋊C4×D67—21no—
361C22⋊C4×D67—21no—
362C22⋊C4×D67—21no—
363C22⋊C4×D67D411yescharacteristic
364C22⋊C4×D67D411yescharacteristic
365C2×C4×Dic67—21no—
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#14523976C2311yescharacteristic
382#14523976C2311yescharacteristic
383#14523975C2311yescharacteristic
384#14523975C2311yescharacteristic
385#14523975C2311yescharacteristic
386#14523975C2311yescharacteristic
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#14523967C2311yescharacteristic
400#14523967C2311yescharacteristic
401#14523967C2311yescharacteristic
402#14523967C2311yescharacteristic
403#14523965C2311yescharacteristic
404#14523965C2311yescharacteristic
405#14523965C2311yescharacteristic
406#14523965C2311yescharacteristic
407#14523965C2311yescharacteristic
408#14523965C2311yescharacteristic
409#14523965C2311yescharacteristic
410#14523965C2311yescharacteristic
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
438C4⋊Q8×C67C2311yescharacteristic
439#126×C67—21no—
440#125×C67—21no—
441#125×C67C2311yescharacteristic
442#125×C67C2311yescharacteristic
443#124×C67—21no—
444#124×C67C2311yescharacteristic
445#123×C67—21no—
446C22⋊Q8×C67—21no—
447C22⋊Q8×C67—21no—
448C22⋊Q8×C67—21no—
449C22⋊Q8×C67C2311yescharacteristic
450#121×C67C2311yescharacteristic
451C4×Q8×C67C2311yescharacteristic
452C4×D4×C67C2311yescharacteristic
453#117×C67C2311yescharacteristic
454#117×C67C2311yescharacteristic
455C2×C4⋊C4×C67C2311yescharacteristic
456#107×C67C2311yescharacteristic
457#107×C67C2311yescharacteristic
458#106×C67C2311yescharacteristic
459#106×C67C2311yescharacteristic
460#106×C67C2311yescharacteristic
461#106×C67C2311yescharacteristic
462#106×C67C2311yescharacteristic
463#106×C67C2311yescharacteristic
464C4⋊C8×C67C2311yescharacteristic
465C4⋊C8×C67C2311yescharacteristic
466#103×C67C2311yescharacteristic
467#103×C67C2311yescharacteristic
468#103×C67C2311yescharacteristic
469#103×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×D67C2×D411yescharacteristic
480#11761629—22no—
481#11761629—22no—
482#11761629—82no—
483#11761628—82no—
484C2×Dic134—21no—
485C2×Dic134—21no—
486C2×Dic134—21no—
487C2×Dic134—21no—
488C2×Dic134—21no—
489C2×Dic134—21no—
490C2×Dic134—21no—
491C2×D268—21no—
492C2×D268—21no—
493C2×D268—21no—
494C2×D268—21no—
495C2×D268—21no—
496C2×D268C2411yescharacteristic
497C2×D268C2411yescharacteristic
498C2×C22⋊D67—21no—
499C2×C22⋊D67—21no—
500C2×C22⋊D67—21no—
501C2×C22⋊D67—21no—
502C2×C22⋊D67—21no—
503C2×C22⋊D67—21no—
504D4×D67—22no—
505D4×D67—22no—
506D4×D67—82no—
507C22×Dic67—21no—
508C22×Dic67—21no—
509C22×Dic67C2×D411yescharacteristic
510C2×C4×D67—22no—
511C2×C4×D67—22no—
512C2×C4×D67—21no—
513C2×C4×D67—21no—
514C2×C4×D67—21no—
515C2×C4×D67—21no—
516C2×C4×D67—21no—
517C2×C4×D67—21no—
518C2×C4×D67—21no—
519C2×C4×D67—21no—
520C2×C4×D67C2×D411yescharacteristic
521C2×C4×D67C2×D411yescharacteristic
522C2×C4×D67C2×D411yescharacteristic
523C2×C4×D67C2×D411yescharacteristic
524C2×C4×D67C2×D411yescharacteristic
525C2×C4×D67C2×D411yescharacteristic
526C2×C4×D67C2411yescharacteristic
527C2×C4×D67C2411yescharacteristic
528#11761611—22no—
529#11761611—22no—
530C2×C67⋊C8C2411yescharacteristic
531C2×C67⋊C8C2411yescharacteristic
532C2×C67⋊C8C2411yescharacteristic
533C2×C67⋊C8C2411yescharacteristic
534C8×D67—22no—
535C8×D67—22no—
536C4⋊Dic67—21no—
537C4⋊Dic67—21no—
538C4⋊Dic67—21no—
539C4⋊Dic67—21no—
540C4⋊Dic67—21no—
541C4⋊Dic67—21no—
542C4⋊Dic67—21no—
543C4⋊Dic67—21no—
544C4⋊Dic67—21no—
545C4⋊Dic67C2×D411yescharacteristic
546C4⋊Dic67C2×D411yescharacteristic
547C4⋊Dic67C2411yescharacteristic
548C4⋊Dic67C2411yescharacteristic
549C4⋊Dic67C2411yescharacteristic
550C4⋊Dic67C2411yescharacteristic
551C4⋊Dic67C2411yescharacteristic
552C4⋊Dic67C2411yescharacteristic
553Dic67⋊C4—21no—
554Dic67⋊C4—21no—
555Dic67⋊C4—21no—
556Dic67⋊C4—21no—
557Dic67⋊C4—21no—
558Dic67⋊C4—21no—
559Dic67⋊C4—21no—
560Dic67⋊C4—21no—
561Dic67⋊C4—21no—
562Dic67⋊C4—21no—
563Dic67⋊C4—21no—
564Dic67⋊C4—21no—
565Dic67⋊C4—21no—
566Dic67⋊C4—21no—
567Dic67⋊C4—21no—
568Dic67⋊C4—21no—
569Dic67⋊C4—21no—
570Dic67⋊C4—21no—
571Dic67⋊C4—21no—
572Dic67⋊C4—21no—
573Dic67⋊C4C2×D411yescharacteristic
574Dic67⋊C4C2×D411yescharacteristic
575Dic67⋊C4C2×D411yescharacteristic
576Dic67⋊C4C2×D411yescharacteristic
577C22⋊Dic67—21no—
578C22⋊Dic67—21no—
579C22⋊Dic67—21no—
580C22⋊Dic67C2×D411yescharacteristic
581C22⋊Dic67C2×D411yescharacteristic
582(C2×D67)⋊C4—21no—
583(C2×D67)⋊C4—21no—
584(C2×D67)⋊C4—21no—
585(C2×D67)⋊C4—21no—
586(C2×D67)⋊C4—21no—
587(C2×D67)⋊C4—21no—
588(C2×D67)⋊C4—21no—
589(C2×D67)⋊C4—21no—
590(C2×D67)⋊C4—21no—
591(C2×D67)⋊C4—21no—
592(C2×D67)⋊C4—21no—
593(C2×D67)⋊C4—21no—
594(C2×D67)⋊C4—21no—
595(C2×D67)⋊C4—21no—
596(C2×D67)⋊C4—21no—
597(C2×D67)⋊C4—21no—
598(C2×D67)⋊C4—21no—
599(C2×D67)⋊C4—21no—
600(C2×D67)⋊C4C2×D411yescharacteristic
601(C2×D67)⋊C4C2×D411yescharacteristic
602(C2×D67)⋊C4C2×D411yescharacteristic
603(C2×D67)⋊C4C2×D411yescharacteristic
604C4×Dic67—21no—
605C4×Dic67—21no—
606C4×Dic67—21no—
607C4×Dic67—21no—
608C4×Dic67—21no—
609C4×Dic67—21no—
610C4×Dic67—21no—
611C4×Dic67—21no—
612C4×Dic67—21no—
613C4×Dic67C2×D411yescharacteristic
614C4×Dic67C2×D411yescharacteristic
615C4×Dic67C2×D411yescharacteristic
616C4×Dic67C2×D411yescharacteristic
617C4×Dic67C2411yescharacteristic
618C4×Dic67C2411yescharacteristic
619C2×Q8×C67—21no—
620C2×Q8×C67—21no—
621C2×Q8×C67—21no—
622C2×Q8×C67C2411yescharacteristic
623C2×D4×C67—21no—
624C2×D4×C67C2411yescharacteristic
625C22×C4×C67—21no—
626C22×C4×C67—21no—
627C22×C4×C67C2411yescharacteristic
628C2×C8×C67C2411yescharacteristic
629C2×C8×C67C2411yescharacteristic
630C2×C8×C67C2411yescharacteristic
631C2×C8×C67C2411yescharacteristic
632C4⋊C4×C67—21no—
633C4⋊C4×C67—21no—
634C4⋊C4×C67—21no—
635C4⋊C4×C67—21no—
636C4⋊C4×C67—21no—
637C4⋊C4×C67—21no—
638C4⋊C4×C67—21no—
639C4⋊C4×C67—21no—
640C4⋊C4×C67—21no—
641C4⋊C4×C67—21no—
642C4⋊C4×C67C2×D411yescharacteristic
643C4⋊C4×C67C2×D411yescharacteristic
644C4⋊C4×C67C2411yescharacteristic
645C4⋊C4×C67C2411yescharacteristic
646C4⋊C4×C67C2411yescharacteristic
647C4⋊C4×C67C2411yescharacteristic
648C4⋊C4×C67C2411yescharacteristic
649C4⋊C4×C67C2411yescharacteristic
650C22⋊C4×C67—21no—
651C22⋊C4×C67—21no—
652C22⋊C4×C67—21no—
653C22⋊C4×C67—21no—
654C22⋊C4×C67—21no—
655C22⋊C4×C67—21no—
656C22⋊C4×C67C2×D411yescharacteristic
657C22⋊C4×C67C2×D411yescharacteristic
658C42×C67—21no—
659C42×C67—21no—
660C42×C67C2411yescharacteristic
661C42×C67C2411yescharacteristic
662C23×C67—21no—
663C23×C67C22×D411yescharacteristic
664C22×D67—22no—
665C22×D67—21no—
666C22×D67—21no—
667C22×D67—41no—
668C22×D67—41no—
669C22×D67—42no—
670C22×D67—81no—
671C22×D67—81no—
672C22×D67C22×D411yescharacteristic
673C22×D67C22×D411yescharacteristic
674Q8×C67—21no—
675Q8×C67—21no—
676Q8×C67—81no—
677Q8×C67—81no—
678Q8×C67—81no—
679D4×C67—21no—
680D4×C67—21no—
681D4×C67—81no—
682C2×C4×C67—21no—
683C2×C4×C67—21no—
684C2×C4×C67—21no—
685C2×C4×C67—21no—
686C2×C4×C67—21no—
687C2×C4×C67—21no—
688C2×C4×C67—21no—
689C2×C4×C67—21no—
690C2×C4×C67—21no—
691C2×C4×C67—81no—
692C2×C4×C67—81no—
693C2×C4×C67C22×D411yescharacteristic
694C2×C4×C67C22×D411yescharacteristic
695C2×C4×C67C22×D411yescharacteristic
696C2×C4×C67C22×D411yescharacteristic
697C2×C4×C67C22×D411yescharacteristic
698C2×C4×C67C2511yescharacteristic
699C22⋊D67—42no—
700C22⋊D67—42no—
701C22⋊D67—81no—
702C22⋊D67—81no—
703C22⋊D67—81no—
704C22⋊D67—81no—
705C2×Dic67—22no—
706C2×Dic67—21no—
707C2×Dic67—21no—
708C2×Dic67—21no—
709C2×Dic67—21no—
710C2×Dic67—21no—
711C2×Dic67—21no—
712C2×Dic67—81no—
713C2×Dic67—81no—
714C2×Dic67C22×D411yescharacteristic
715C2×Dic67C22×D411yescharacteristic
716C2×Dic67C22×D411yescharacteristic
717C2×Dic67C22×D411yescharacteristic
718C2×Dic67C22×D411yescharacteristic
719C2×Dic67C22×D411yescharacteristic
720D268—21no—
721D268—21no—
722D268—21no—
723D268—21no—
724D268—42no—
725D268—42no—
726D268—42no—
727D268—81no—
728D268—81no—
729C4×D67—22no—
730C4×D67—21no—
731C4×D67—21no—
732C4×D67—22no—
733C4×D67—41no—
734C4×D67—41no—
735C4×D67—41no—
736C4×D67—41no—
737C4×D67—42no—
738C4×D67—81no—
739C4×D67—81no—
740C4×D67—81no—
741C4×D67—81no—
742C4×D67—81no—
743C4×D67—81no—
744C4×D67—81no—
745C4×D672−1+412yes—
746C4×D672−1+412yes—
747Dic134—81no—
748Dic134—81no—
749Dic134—81no—
750Dic134—81no—
751Dic134—81no—
752Dic134—81no—
753Dic134—81no—
754C8×C67—21no—
755C8×C67—21no—
756C8×C67—21no—
757C8×C67—21no—
758C67⋊C8—21no—
759C67⋊C8—21no—
760C67⋊C8—21no—
761C67⋊C8—21no—
762C22×C67—21no—
763C22×C67—21no—
764C22×C67—21no—
765C22×C67—41no—
766C22×C67—41no—
767C22×C67—41no—
768C22×C67C23×D411yescharacteristic
769C2×D67—21no—
770C2×D67—21no—
771C2×D67—21no—
772C2×D67—21no—
773C2×D67—21no—
774C2×D67—41no—
775C2×D67—41no—
776C2×D67—41no—
777C2×D67—41no—
778C2×D67—41no—
779C2×D67—41no—
780C2×D67—82no—
781C2×D67—162no—
782C2×D67#53612yes—
783C4×C67—21no—
784C4×C67—21no—
785C4×C67—21no—
786C4×C67—21no—
787C4×C67—21no—
788C4×C67—41no—
789C4×C67—41no—
790C4×C67—41no—
791C4×C67—41no—
792C4×C67—41no—
793C4×C67—41no—
794C4×C67—41no—
795C4×C67C2×2−1+411yescharacteristic
796C4×C67C2×2−1+411yescharacteristic
797Dic67—21no—
798Dic67—21no—
799Dic67—21no—
800Dic67—21no—
801Dic67—21no—
802Dic67—41no—
803Dic67—41no—
804Dic67—41no—
805Dic67—41no—
806Dic67—41no—
807Dic67—41no—
808Dic67#53612yes—
809#60875—671nomaximal, Sylow
810C2×C67—41no—
811C2×C67—81no—
812C2×C67C2×#53611yescharacteristic
813C2×C67#358411yescharacteristic
814C2×C67#358511yescharacteristic
815D67—22no—
816D67—41no—
817D67—81no—
818D67—81no—
819#3494—671no—
820#3458—671no—
821#3244—671no—
822#3244D6711yescharacteristic, complemented
823#3243—671no—
824#3243—671no—
825#3241—671no—
826#3241—671no—
827#3241—671no—
828#3241—671no—
829#3240—671no—
830#3240—671no—
831#3235—671no—
832#3235—671no—
833#3233—671no—
834#3233—671no—
835#3228—671no—
836#3228—671no—
837#3164—671no—
838#3163—671no—
839#3136—671no—
840#3136—671no—
841#3094—671no—
842#3093—671no—
843#3091—671no—
844C2×#482—671no—
845#3084—671no—
846#3083—671no—
847#3081—671no—
848#3081—671no—
849#2924—671no—
850C67#6087511yescharacteristic, complemented, Sylow
851#555—1341no—
852#553—1341no—
853#553—1341no—
854#551—1341no—
855#551—1341no—
856#547—1341no—
857#546—1341no—
858#546—1341no—
859#544—671no—
860#544—671no—
861#544—671no—
862#544—671no—
863#544—671no—
864#544—671no—
865#544—671no—
866#544—671no—
867#544—1341no—
868#544—1341no—
869#544C2×D6711yescharacteristic, complemented
870#543—1341no—
871#543—1341no—
872#542—671no—
873#542C2×D6711yescharacteristic
874#540—671no—
875#540—671no—
876#535—671no—
877#533—671no—
878#533—671no—
879#533—671no—
880#533—671no—
881#533—1341no—
882#533—1341no—
883#533—1341no—
884#533—1341no—
885#532—671no—
886#532—671no—
887#529—671no—
888#529—671no—
889#525—671no—
890C2×#121—671no—
891#520—671no—
892#518—671no—
893C2×#117—671no—
894C2×#117—671no—
895C2×#117—671no—
896#501—671no—
897#501—671no—
898#501—671no—
899#501—671no—
900#501—671no—
901#501—671no—
902#501—671no—
903#501C2×D6711yescharacteristic, complemented
904#500—671no—
905#500—671no—
906#499—671no—
907#499—671no—
908#499—671no—
909#499—671no—
910#498—671no—
911#498C2×D6711yescharacteristic, complemented
912#490—671no—
913#490—671no—
914#490—671no—
915#490—671no—
916#489—671no—
917#489—671no—
918#489—671no—
919#489C2×D6711yescharacteristic, complemented
920#488—671no—
921#488—671no—
922#488—671no—
923#488C2×D6711yescharacteristic, complemented
924#486—671no—
925#486—671no—
926#486—671no—
927#486—671no—
928#485—671no—
929#485—671no—
930#485—671no—
931#485—671no—
932#485—671no—
933#485C2×D6711yescharacteristic, complemented
934#484—671no—
935#483C2×D6711yescharacteristic, complemented
936#482—671no—
937#482—671no—
938#482—671no—
939#482—671no—
940#482—671no—
941#482—671no—
942#482—671no—
943#482—671no—
944#482—671no—
945#482—671no—
946#482—671no—
947#482—671no—
948#482—671no—
949#482—671no—
950#482—671no—
951#482—671no—
952#482—671no—
953#482C2×D6711yescharacteristic
954#481—671no—
955#481—671no—
956#481C2×D6711yescharacteristic
957#480—671no—
958#480—671no—
959#480—671no—
960#479—671no—
961#479—671no—
962#479—671no—
963#479C2×D6711yescharacteristic, complemented
964#478—671no—
965#478—671no—
966#478—671no—
967#478—671no—
968#478—671no—
969#478—671no—
970#478—671no—
971#478—671no—
972#478—671no—
973#478—671no—
974#478—671no—
975#478C2×D6711yescharacteristic, complemented
976#477—671no—
977#477—671no—
978#476—671no—
979#476—671no—
980#476—671no—
981#476—671no—
982#476—671no—
983#476C2×D6711yescharacteristic, complemented
984#475—671no—
985#475C2×D6711yescharacteristic, complemented
986#474—671no—
987#474—671no—
988#474—671no—
989#474—671no—
990#474—671no—
991#474—671no—
992#433—671no—
993#433—671no—
994#433—671no—
995#433C2×D6711yescharacteristic, complemented
996#432—671no—
997#432—671no—
998#431—671no—
999#431—671no—
1000#428—671no—
1001#428—671no—
1002#428—671no—
1003#428—671no—
1004#427—671no—
1005#427—671no—
1006C2×#107—671no—
1007C2×#106—671no—
1008#424—671no—
1009#424—671no—
1010#418—671no—
1011#418—671no—
1012#417—671no—
1013#417—671no—
1014#416—671no—
1015#416—671no—
1016C2×#102—671no—
1017C2×#102—671no—
1018#407—671no—
1019C2×C22⋊C8—671no—
1020#405—671no—
1021#405—671no—
1022C2×#41—671no—
1023C2×#41—1341no—
1024C2×#41—1341no—
1025C22×D4—671no—
1026C22×D4—1341no—
1027C23×C4—671no—
1028C2×M16—671no—
1029C2×M16—671no—
1030C22×C8—671no—
1031C22×C8—671no—
1032C4⋊Q8—21no—
1033C4⋊Q8—671no—
1034C4⋊Q8—671no—
1035C4⋊Q8—671no—
1036C4⋊Q8—671no—
1037C4⋊Q8—671no—
1038C4⋊Q8—671no—
1039C4⋊Q8—671no—
1040C4⋊Q8—1341no—
1041C4⋊Q8—1341no—
1042C4⋊Q8—1341no—
1043C4⋊Q8—1341no—
1044C4⋊Q8—1341no—
1045C4⋊Q8—1341no—
1046C4⋊Q8—1341no—
1047C4⋊Q8—1341no—
1048C4⋊Q8C22×D6711yescharacteristic
1049C4⋊Q8C22×D6711yescharacteristic
1050C4⋊Q8C22×D6711yescharacteristic
1051#127—671no—
1052#127—671no—
1053#126—21no—
1054#126—1341no—
1055#126—1341no—
1056#126—1341no—
1057#125—21no—
1058#125—671no—
1059#125—671no—
1060#125—671no—
1061#125—671no—
1062#125—671no—
1063#125—671no—
1064#125—671no—
1065#125—671no—
1066#125—1341no—
1067#125—1341no—
1068#125—1341no—
1069#125—1341no—
1070#125—1341no—
1071#125—1341no—
1072#125—1341no—
1073#125—1341no—
1074#125C22×D6711yescharacteristic
1075#125C22×D6711yescharacteristic
1076#124—21no—
1077#124—671no—
1078#124—1341no—
1079#124—1341no—
1080#124—1341no—
1081#124C22×D6711yescharacteristic
1082#123—21no—
1083#123—1341no—
1084#123—1341no—
1085#123—1341no—
1086#123—1341no—
1087#123—1341no—
1088#123—1341no—
1089#123—1341no—
1090#123—1341no—
1091C22⋊Q8—21no—
1092C22⋊Q8—21no—
1093C22⋊Q8—21no—
1094C22⋊Q8—671no—
1095C22⋊Q8—1341no—
1096C22⋊Q8—1341no—
1097C22⋊Q8—1341no—
1098C22⋊Q8—1341no—
1099C22⋊Q8—1341no—
1100C22⋊Q8—1341no—
1101C22⋊Q8—1341no—
1102C22⋊Q8—1341no—
1103C22⋊Q8—1341no—
1104C22⋊Q8—1341no—
1105C22⋊Q8—1341no—
1106C22⋊Q8—1341no—
1107C22⋊Q8—1341no—
1108C22⋊Q8—1341no—
1109C22⋊Q8—1341no—
1110C22⋊Q8—1341no—
1111C22⋊Q8—1341no—
1112C22⋊Q8—1341no—
1113C22⋊Q8—1341no—
1114C22⋊Q8—1341no—
1115C22⋊Q8—1341no—
1116C22⋊Q8—1341no—
1117C22⋊Q8—1341no—
1118C22⋊Q8—1341no—
1119C22⋊Q8—1341no—
1120C22⋊Q8C22×D6711yescharacteristic
1121#121—671no—
1122#121—671no—
1123#121—671no—
1124#121—671no—
1125#121—671no—
1126#121—1341no—
1127#121—1341no—
1128#121—1341no—
1129#121—1341no—
1130#121—1341no—
1131#121—1341no—
1132#121—1341no—
1133#121—1341no—
1134#121—1341no—
1135#121—1341no—
1136#121C22×D6711yescharacteristic
1137#120—1341no—
1138#120—1341no—
1139#120—1341no—
1140C4×Q8—671no—
1141C4×Q8—1341no—
1142C4×Q8—1341no—
1143C4×Q8—1341no—
1144C4×Q8—1341no—
1145C4×Q8—1341no—
1146C4×Q8—1341no—
1147C4×Q8—1341no—
1148C4×Q8—1341no—
1149C4×Q8C22×D6711yescharacteristic
1150C4×D4—671no—
1151C4×D4—671no—
1152C4×D4—671no—
1153C4×D4—671no—
1154C4×D4—671no—
1155C4×D4—1341no—
1156C4×D4—1341no—
1157C4×D4—1341no—
1158C4×D4—1341no—
1159C4×D4—1341no—
1160C4×D4—1341no—
1161C4×D4—1341no—
1162C4×D4—1341no—
1163C4×D4—1341no—
1164C4×D4—1341no—
1165C4×D4C22×D6711yescharacteristic
1166#117—671no—
1167#117—671no—
1168#117—671no—
1169#117—671no—
1170#117—671no—
1171#117—671no—
1172#117—671no—
1173#117—671no—
1174#117—671no—
1175#117—671no—
1176#117—671no—
1177#117—671no—
1178#117—671no—
1179#117—671no—
1180#117—671no—
1181#117—1341no—
1182#117—1341no—
1183#117—1341no—
1184#117—1341no—
1185#117—1341no—
1186#117—1341no—
1187#117—1341no—
1188#117C22×D6711yescharacteristic
1189#117C22×D6711yescharacteristic
1190C2×C4⋊C4—671no—
1191C2×C4⋊C4—671no—
1192C2×C4⋊C4—671no—
1193C2×C4⋊C4—671no—
1194C2×C4⋊C4—671no—
1195C2×C4⋊C4—671no—
1196C2×C4⋊C4—1341no—
1197C2×C4⋊C4C22×D6711yescharacteristic
1198C2×C22⋊C4—671no—
1199C2×C22⋊C4—671no—
1200C2×C22⋊C4—1341no—
1201C2×C22⋊C4—1341no—
1202C2×C22⋊C4—1341no—
1203C2×C22⋊C4—1341no—
1204C2×C22⋊C4—1341no—
1205C2×C42—671no—
1206C2×C42—671no—
1207C2×C42—1341no—
1208C2×C42—1341no—
1209#107—671no—
1210#107—671no—
1211#107—671no—
1212#107—671no—
1213#107—671no—
1214#107—671no—
1215#107—671no—
1216#107—671no—
1217#107—671no—
1218#107—671no—
1219#107—671no—
1220#107—671no—
1221#107—671no—
1222#107—671no—
1223#107C22×D6711yescharacteristic
1224#107C22×D6711yescharacteristic
1225#106—671no—
1226#106—671no—
1227#106—671no—
1228#106—671no—
1229#106—671no—
1230#106—671no—
1231#106—671no—
1232#106—671no—
1233#106—671no—
1234#106—671no—
1235#106C22×D6711yescharacteristic
1236#106C22×D6711yescharacteristic
1237#106C22×D6711yescharacteristic
1238#106C22×D6711yescharacteristic
1239#106C22×D6711yescharacteristic
1240#106C22×D6711yescharacteristic
1241C4⋊C8—671no—
1242C4⋊C8—671no—
1243C4⋊C8—671no—
1244C4⋊C8—671no—
1245C4⋊C8—671no—
1246C4⋊C8—671no—
1247C4⋊C8C22×D6711yescharacteristic
1248C4⋊C8C22×D6711yescharacteristic
1249#103—671no—
1250#103—671no—
1251#103—671no—
1252#103—671no—
1253#103C22×D6711yescharacteristic
1254#103C22×D6711yescharacteristic
1255#103C22×D6711yescharacteristic
1256#103C22×D6711yescharacteristic
1257#102—671no—
1258#102—671no—
1259#102—671no—
1260#102—671no—
1261#102—671no—
1262#102—671no—
1263#102—671no—
1264#102—671no—
1265#102—671no—
1266#102—671no—
1267#102—671no—
1268#102—671no—
1269#102—671no—
1270#102—671no—
1271#102—671no—
1272#102—671no—
1273#102—671no—
1274#102—671no—
1275#102—671no—
1276#102—671no—
1277#102C22×D6711yescharacteristic
1278#102C22×D6711yescharacteristic
1279#102C22×D6711yescharacteristic
1280#102C22×D6711yescharacteristic
1281C22⋊C8—671no—
1282C22⋊C8—671no—
1283C22⋊C8—671no—
1284C22⋊C8—671no—
1285C22⋊C8—671no—
1286C22⋊C8—671no—
1287C22⋊C8C22×D6711yescharacteristic
1288C22⋊C8C22×D6711yescharacteristic
1289#97—671no—
1290#97—671no—
1291#97—671no—
1292#97C22×D6711yescharacteristic
1293C4×C8—671no—
1294C4×C8—671no—
1295C4×C8—671no—
1296C4×C8C22×D6711yescharacteristic
1297C24—671no—
1298C24—1341no—
1299#41—5362no—
1300#41—5362no—
1301#41—1342no—
1302#41—1342no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—21no—
1306C2×Q8—1341no—
1307C2×Q8—1341no—
1308C2×Q8—1341no—
1309C2×Q8—1341no—
1310C2×Q8—1341no—
1311C2×Q8—1341no—
1312C2×Q8—1341no—
1313C2×Q8C23×D6711yescharacteristic
1314C2×D4—21no—
1315C2×D4—5362no—
1316C2×D4—671no—
1317C2×D4—671no—
1318C2×D4—1341no—
1319C2×D4—1341no—
1320C2×D4—1341no—
1321C2×D4—1342no—
1322C2×D4—1342no—
1323C2×D4—1341no—
1324C2×D4—1341no—
1325C2×D4—1341no—
1326C2×D4—1341no—
1327C2×D4—1341no—
1328C2×D4—1341no—
1329C2×D4—1341no—
1330C2×D4—1341no—
1331C2×D4C23×D6711yescharacteristic
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—671no—
1335C22×C4—671no—
1336C22×C4—671no—
1337C22×C4—671no—
1338C22×C4—671no—
1339C22×C4—671no—
1340C22×C4—671no—
1341C22×C4—671no—
1342C22×C4—671no—
1343C22×C4—1341no—
1344C22×C4—1341no—
1345C22×C4—1341no—
1346C22×C4—1341no—
1347C22×C4—1341no—
1348C22×C4—1341no—
1349C22×C4—1342no—
1350C22×C4—1342no—
1351C22×C4—1341no—
1352C22×C4—1341no—
1353C22×C4—1341no—
1354C22×C4—1341no—
1355C22×C4C23×D6711yescharacteristic
1356M16—1342no—
1357M16—1342no—
1358C2×C8—671no—
1359C2×C8—671no—
1360C2×C8—671no—
1361C2×C8—671no—
1362C2×C8—1342no—
1363C2×C8—1342no—
1364C2×C8C23×D6711yescharacteristic
1365C2×C8C23×D6711yescharacteristic
1366C2×C8C23×D6711yescharacteristic
1367C2×C8C23×D6711yescharacteristic
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—671no—
1379C4⋊C4—671no—
1380C4⋊C4—671no—
1381C4⋊C4—671no—
1382C4⋊C4—671no—
1383C4⋊C4—671no—
1384C4⋊C4—671no—
1385C4⋊C4—671no—
1386C4⋊C4—671no—
1387C4⋊C4—671no—
1388C4⋊C4—671no—
1389C4⋊C4—671no—
1390C4⋊C4—1341no—
1391C4⋊C4—1341no—
1392C4⋊C4—1341no—
1393C4⋊C4—1341no—
1394C4⋊C4—1341no—
1395C4⋊C4—1341no—
1396C4⋊C4—1341no—
1397C4⋊C4—1341no—
1398C4⋊C4—1341no—
1399C4⋊C4—1341no—
1400C4⋊C4—1341no—
1401C4⋊C4—1341no—
1402C4⋊C4—1341no—
1403C4⋊C4—1341no—
1404C4⋊C4—1341no—
1405C4⋊C4—1341no—
1406C4⋊C4—1341no—
1407C4⋊C4—1341no—
1408C4⋊C4—1341no—
1409C4⋊C4—1341no—
1410C4⋊C4—1341no—
1411C4⋊C4—1341no—
1412C4⋊C4—1341no—
1413C4⋊C4—1341no—
1414C4⋊C4—1341no—
1415C4⋊C4—1341no—
1416C4⋊C4—1341no—
1417C4⋊C4—1341no—
1418C4⋊C4—1341no—
1419C4⋊C4D4×D6711yescharacteristic
1420C4⋊C4D4×D6711yescharacteristic
1421C4⋊C4C23×D6711yescharacteristic
1422C4⋊C4C23×D6711yescharacteristic
1423C4⋊C4C23×D6711yescharacteristic
1424C4⋊C4C23×D6711yescharacteristic
1425C4⋊C4C23×D6711yescharacteristic
1426C4⋊C4C23×D6711yescharacteristic
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—671no—
1434C22⋊C4—671no—
1435C22⋊C4—671no—
1436C22⋊C4—671no—
1437C22⋊C4—671no—
1438C22⋊C4—671no—
1439C22⋊C4—1341no—
1440C22⋊C4—1341no—
1441C22⋊C4—1341no—
1442C22⋊C4—1341no—
1443C22⋊C4—1341no—
1444C22⋊C4—1341no—
1445C22⋊C4—1341no—
1446C22⋊C4—1341no—
1447C22⋊C4—1341no—
1448C22⋊C4—1341no—
1449C22⋊C4—1341no—
1450C22⋊C4—1341no—
1451C22⋊C4—1341no—
1452C22⋊C4—1341no—
1453C22⋊C4—1341no—
1454C22⋊C4—1341no—
1455C22⋊C4—1341no—
1456C22⋊C4—1341no—
1457C22⋊C4—1341no—
1458C22⋊C4—1341no—
1459C22⋊C4—1341no—
1460C22⋊C4D4×D6711yescharacteristic
1461C22⋊C4D4×D6711yescharacteristic
1462C42—21no—
1463C42—21no—
1464C42—671no—
1465C42—671no—
1466C42—671no—
1467C42—671no—
1468C42—671no—
1469C42—671no—
1470C42—1341no—
1471C42—1341no—
1472C42—1341no—
1473C42—1341no—
1474C42—1341no—
1475C42—1341no—
1476C42—1341no—
1477C42—1341no—
1478C42—1341no—
1479C42C23×D6711yescharacteristic
1480C42C23×D6711yescharacteristic
1481C23—21no—
1482C23—2681no—
1483C23—2681no—
1484C23—2682no—
1485C23—5361no—
1486C23—5361no—
1487C23—671no—
1488C23—671no—
1489C23—1342no—
1490C23—1341no—
1491C23—1341no—
1492C23C2×D4×D6711yescharacteristic
1493Q8—21no—
1494Q8—21no—
1495Q8—81no—
1496Q8—81no—
1497Q8—81no—
1498Q8—5361no—
1499Q8—5361no—
1500Q8—5361no—
1501Q8—5361no—
1502Q8—5361no—
1503Q8—5361no—
1504Q8—5361no—
1505D4—21no—
1506D4—21no—
1507D4—81no—
1508D4—2682no—
1509D4—2682no—
1510D4—2682no—
1511D4—2682no—
1512D4—2682no—
1513D4—5361no—
1514D4—5361no—
1515D4—5361no—
1516D4—5361no—
1517D4—5361no—
1518D4—5361no—
1519D4—1341no—
1520D4—1341no—
1521D4—1341no—
1522D4—1341no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—81no—
1533C2×C4—81no—
1534C2×C4—2681no—
1535C2×C4—2681no—
1536C2×C4—2681no—
1537C2×C4—2681no—
1538C2×C4—2682no—
1539C2×C4—5361no—
1540C2×C4—5361no—
1541C2×C4—5361no—
1542C2×C4—5361no—
1543C2×C4—5361no—
1544C2×C4—5361no—
1545C2×C4—5361no—
1546C2×C4—5361no—
1547C2×C4—5361no—
1548C2×C4—671no—
1549C2×C4—672no—
1550C2×C4—672no—
1551C2×C4—671no—
1552C2×C4—671no—
1553C2×C4—671no—
1554C2×C4—671no—
1555C2×C4—671no—
1556C2×C4—1342no—
1557C2×C4—1342no—
1558C2×C4—1341no—
1559C2×C4—1341no—
1560C2×C4—1341no—
1561C2×C4—1341no—
1562C2×C4—1341no—
1563C2×C4—1341no—
1564C2×C4—1342no—
1565C2×C4—1341no—
1566C2×C4—1341no—
1567C2×C4C2×D4×D6711yescharacteristic
1568C2×C4C2×D4×D6711yescharacteristic
1569C2×C4C2×D4×D6711yescharacteristic
1570C2×C4C2×D4×D6711yescharacteristic
1571C2×C4C2×D4×D6711yescharacteristic
1572C2×C4C24×D6711yescharacteristic
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—1341no—
1578C8—1341no—
1579C8—1341no—
1580C8—1341no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—2681no—
1588C22—2681no—
1589C22—2681no—
1590C22—2681no—
1591C22—2681no—
1592C22—2681no—
1593C22—5362no—
1594C22—10722no—
1595C22—672no—
1596C22—1341no—
1597C22—1341no—
1598C22—1341no—
1599C22—1341no—
1600C22—1341no—
1601C22C22×D4×D6711yescharacteristic
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—21no—
1606C4—21no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—2681no—
1615C4—2681no—
1616C4—2681no—
1617C4—2681no—
1618C4—2681no—
1619C4—2681no—
1620C4—672no—
1621C4—1341no—
1622C4—1341no—
1623C4—1341no—
1624C4—1341no—
1625C4—1341no—
1626C42−1+4×D6711yescharacteristic
1627C42−1+4×D6711yescharacteristic
1628C2—41no—
1629C2—81no—
1630C2—2681no—
1631C2—5361no—
1632C2—5361no—
1633C2—1342no—
1634C2#536×D6711yescharacteristic
1635C2#2257498111yescharacteristic
1636C2#2257498711yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3244C2
socleC22×C67C23×D4
prime radical#22573942C2
hypercenter#3244D67
hypocenterC67#60875
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ #117 ◁ #3244

Complements

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

NH ≅ G/Ntype
2. #22573613C2semidirect
3. #22571511C2semidirect
4. #22571498C2semidirect
5. #22571486C2semidirect
6. #22571466C2semidirect
7. #22571464C2semidirect
8. #22571462C2semidirect
9. #22571460C2semidirect
10. #22571454C2semidirect
11. #22571444C2semidirect
12. #22571408C2semidirect
13. #22571405C2semidirect
14. #22571392C2semidirect
15. #22571383C2semidirect
16. #22571346C2semidirect
17. #22571344C2semidirect
18. #22570744C2semidirect
19. #22570734C2semidirect
20. #22570562C2semidirect
21. #22570560C2semidirect
22. #22570146C2semidirect
23. #22570141C2semidirect
24. #22570123C2semidirect
25. #482×D67C2semidirect
26. #22570068C2semidirect
27. #22570063C2semidirect
28. #22570039C2semidirect
29. #22570035C2semidirect
30. #22568865C2semidirect
31. C67×#3244C2semidirect
40. #16864027C22semidirect
44. #16864024C22semidirect
45. #16864024C22semidirect
57. #16863952C22semidirect
58. #16863952C22semidirect
60. #16863951C22semidirect
61. #16863951C22semidirect
75. #16863805C22semidirect
76. #16863804C22semidirect
77. #16863803C22semidirect
78. #16863803C22semidirect
79. #16863803C22semidirect
80. #16863802C22semidirect
81. #16863802C22semidirect
82. #16863800C22semidirect
83. #16863799C22semidirect
84. #16863798C22semidirect
85. #16863796C22semidirect
86. #16863796C22semidirect
87. #16863795C22semidirect
88. #16863793C22semidirect
89. #16863762C22semidirect
90. #16863761C22semidirect
91. #16863759C22semidirect
92. #16863759C22semidirect
93. #16863757C22semidirect
94. #16863757C22semidirect
95. #16863755C22semidirect
96. #16863752C22semidirect
97. #16863752C22semidirect
98. #16863750C22semidirect
99. #16863744C22semidirect
100. #16863743C22semidirect
101. #16863741C22semidirect
102. #16863741C22semidirect
103. #16863736C22semidirect
104. #16863735C22semidirect
105. #16863735C22semidirect
106. #16863735C22semidirect
107. #16863734C22semidirect
108. #16863729C22semidirect
110. #16863723C22semidirect
114. #16863722C22semidirect
115. #16863722C22semidirect
116. #16863722C22semidirect
118. #16863721C22semidirect
120. #16863720C22semidirect
126. #16863715C22semidirect
129. #16863709C22semidirect
131. #16863705C22semidirect
132. #16863705C22semidirect
133. #16863703C22semidirect
134. #16863698C22semidirect
135. #16863698C22semidirect
136. #16863697C22semidirect
137. #16863697C22semidirect
138. #16863696C22semidirect
139. #16863695C22semidirect
140. #16863695C22semidirect
141. #16863695C22semidirect
142. #16863695C22semidirect
143. #16863693C22semidirect
144. #16863693C22semidirect
145. #16863691C22semidirect
146. #16863689C22semidirect
147. #16863687C22semidirect
148. #16863685C22semidirect
149. #16863685C22semidirect
150. #16863684C22semidirect
151. #16863683C22semidirect
152. #16863679C22semidirect
153. #16863677C22semidirect
154. #16863676C22semidirect
155. #16863675C22semidirect
156. #16863675C22semidirect
157. #16863674C22semidirect
158. #16863673C22semidirect
159. #16863457C22semidirect
160. #16863454C22semidirect
161. #16863454C22semidirect
162. #16863452C22semidirect
163. #16863451C22semidirect
164. #16863448C22semidirect
165. #16863447C22semidirect
188. #544×C67C22semidirect
190. #501×C67C22semidirect
191. #498×C67C22semidirect
192. #489×C67C22semidirect
193. #488×C67C22semidirect
194. #485×C67C22semidirect
195. #483×C67C22semidirect
198. #479×C67C22semidirect
199. #478×C67C22semidirect
200. #476×C67C22semidirect
201. #475×C67C22semidirect
202. #433×C67C22semidirect
822. #3244D67semidirect
850. C67#60875semidirect
869. #544C2×D67semidirect
903. #501C2×D67semidirect
911. #498C2×D67semidirect
919. #489C2×D67semidirect
923. #488C2×D67semidirect
933. #485C2×D67semidirect
935. #483C2×D67semidirect
963. #479C2×D67semidirect
975. #478C2×D67semidirect
983. #476C2×D67semidirect
985. #475C2×D67semidirect
995. #433C2×D67semidirect

Maximal subgroups

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

subgroupindex
#225739422
#225736132
#225715112
#225714982
#225714862
#225714662
#225714642
#225714622
#225714602
#225714542
#225714442
#225714082
#225714052
#225713922
#225713832
#225713462
#225713442
#225707442
#225707342
#225705622
#225705602
#225701462
#225701412
#225701232
#482×D672
#225700682
#225700632
#225700392
#225700352
#225688652
C67×#32442
#6087567