Finite Group Databasebeta

← #27107169

Subgroups — #27107169

Order 12032.

1666 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257864C211yesmaximal, characteristic, complemented
2#20257187C211yesmaximal, characteristic, complemented
3#20256347C211yesmaximal, characteristic, complemented
4#20256345C211yesmaximal, characteristic, complemented
5#20256336C211yesmaximal, characteristic, complemented
6#20256334C211yesmaximal, characteristic, complemented
7#20256308C211yesmaximal, characteristic, complemented
8#20256307C211yesmaximal, characteristic, complemented
9#20256300C211yesmaximal, characteristic, complemented
10#20256298C211yesmaximal, characteristic, complemented
11#20256221C211yesmaximal, characteristic, complemented
12#20256219C211yesmaximal, characteristic, complemented
13#20256209C211yesmaximal, characteristic, complemented
14#20256166C211yesmaximal, characteristic, complemented
15#20256164C211yesmaximal, characteristic, complemented
16#20256103C211yesmaximal, characteristic, complemented
17#20256101C211yesmaximal, characteristic, complemented
18#20254666C211yesmaximal, characteristic, complemented
19#20254664C211yesmaximal, characteristic, complemented
20#20254663C211yesmaximal, characteristic, complemented
21#20254661C211yesmaximal, characteristic, complemented
22#20254627C211yesmaximal, characteristic, complemented
23#20254597C211yesmaximal, characteristic, complemented
24#20253639C211yesmaximal, characteristic, complemented
25#20253637C211yesmaximal, characteristic, complemented
26#20253571C211yesmaximal, characteristic
27#20253569C211yesmaximal, characteristic
28#20253524C211yesmaximal, characteristic
29#20253486C211yesmaximal, characteristic, complemented
30#20252491C211yesmaximal, characteristic, complemented
31C47×#3376C211yesmaximal, characteristic, complemented
32#15689875—21no—
33#15689875—21no—
34Q8×Dic94C2211yescharacteristic, complemented
35#15689852C2211yescharacteristic, complemented
36#15689852C2211yescharacteristic, complemented
37#15689848C2211yescharacteristic, complemented
38#15689842C2211yescharacteristic, complemented
39#15689842C2211yescharacteristic, complemented
40#15689841—21no—
41#15689833C2211yescharacteristic
42#15689832C2211yescharacteristic
43#15689832C2211yescharacteristic
44#15689830C2211yescharacteristic, complemented
45#15689829C2211yescharacteristic
46#15689829C2211yescharacteristic
47#15689828—21no—
48#15689827—21no—
49#15689827—21no—
50#15689815—21no—
51D4×Dic94C2211yescharacteristic
52#15689788C2211yescharacteristic
53#15689786—21no—
54#15689753C2211yescharacteristic
55#15689751—21no—
56#15689750C2211yescharacteristic
57#15689748—21no—
58#15689748—21no—
59#15689742C2211yescharacteristic
60#15689742C2211yescharacteristic
61#15689733—21no—
62#15689731C2211yescharacteristic
63#15689731C2211yescharacteristic
64#15689730—21no—
65#15689730—21no—
66#15689679C2211yescharacteristic
67#15689678C2211yescharacteristic
68#15689677C2211yescharacteristic
69#15689655C2211yescharacteristic
70C2×#13094002—21no—
71C22⋊Q8×D47—21no—
72#15689595C2211yescharacteristic
73#15689595C2211yescharacteristic
74C4×D4×D47C2211yescharacteristic
75#15689533C2211yescharacteristic, complemented
76#15689533C2211yescharacteristic, complemented
77#15689532C2211yescharacteristic, complemented
78#15689532C2211yescharacteristic, complemented
79#15689531C2211yescharacteristic, complemented
80#15689530C2211yescharacteristic, complemented
81#15689530C2211yescharacteristic, complemented
82#15689530C2211yescharacteristic, complemented
83#15689528C2211yescharacteristic, complemented
84#15689526C2211yescharacteristic, complemented
85#15689524C2211yescharacteristic, complemented
86#15689523C2211yescharacteristic, complemented
87#15689491C2211yescharacteristic, complemented
88#15689490C2211yescharacteristic, complemented
89#15689490C2211yescharacteristic, complemented
90#15689482C2211yescharacteristic, complemented
91#15689481C2211yescharacteristic, complemented
92#15689481C2211yescharacteristic, complemented
93#15689477C2211yescharacteristic, complemented
94#15689472C2211yescharacteristic, complemented
95#15689472C2211yescharacteristic, complemented
96#15689467C2211yescharacteristic
97#15689466C2211yescharacteristic
98#15689463C2211yescharacteristic
99#15689463C2211yescharacteristic
100#15689462C2211yescharacteristic
101#15689462C2211yescharacteristic
102#15689457C2211yescharacteristic
103#15689457C2211yescharacteristic
104#15689455C2211yescharacteristic
105#15689446C2211yescharacteristic
106#15689445C2211yescharacteristic
107#15689435C2211yescharacteristic
108#15689432C2211yescharacteristic, complemented
109#15689431C2211yescharacteristic, complemented
110#15689431C2211yescharacteristic, complemented
111#15689430C2211yescharacteristic, complemented
112#15689428C2211yescharacteristic, complemented
113#15689427C2211yescharacteristic, complemented
114#15689427C2211yescharacteristic, complemented
115#15689426C2211yescharacteristic
116#15689425C2211yescharacteristic
117#15689425C2211yescharacteristic, complemented
118#15689423C2211yescharacteristic, complemented
119#15689422C2211yescharacteristic
120#15689422C2211yescharacteristic
121#15689421C2211yescharacteristic
122#15689421C2211yescharacteristic
123#15689421C2211yescharacteristic, complemented
124#15689419C2211yescharacteristic, complemented
125#15689416C2211yescharacteristic, complemented
126#15689416C2211yescharacteristic, complemented
127#15689416C2211yescharacteristic, complemented
128#15689416C2211yescharacteristic, complemented
129#15689415C2211yescharacteristic, complemented
130#15689414C2211yescharacteristic
131#15689413C2211yescharacteristic
132#15689408C2211yescharacteristic, complemented
133#15689406C2211yescharacteristic, complemented
134#15689406C2211yescharacteristic, complemented
135#15689404C2211yescharacteristic
136#15689404C2211yescharacteristic
137#15689403C2211yescharacteristic
138#15689403C2211yescharacteristic
139#15689401C2211yescharacteristic, complemented
140#15689401C2211yescharacteristic, complemented
141#15689337C2211yescharacteristic
142#15689336C2211yescharacteristic
143#15689335C2211yescharacteristic
144#15689335C2211yescharacteristic
145#15689327C2211yescharacteristic
146#15689327C2211yescharacteristic
147#15689326C2211yescharacteristic
148#15689326C2211yescharacteristic
149#15689325C2211yescharacteristic
150#15689275C2211yescharacteristic
151#15689272C2211yescharacteristic
152#15689272C2211yescharacteristic
153#15689255C2211yescharacteristic
154#15689254C2211yescharacteristic, complemented
155#15689253C2211yescharacteristic, complemented
156#15689252C2211yescharacteristic, complemented
157#15689252C2211yescharacteristic, complemented
158#15689251C2211yescharacteristic, complemented
159#15689251C2211yescharacteristic, complemented
160#15689250C2211yescharacteristic, complemented
161#15689235C2211yescharacteristic
162#15689233C2211yescharacteristic
163#15689232C2211yescharacteristic
164#15689226C2211yescharacteristic
165#15689226C2211yescharacteristic
166#15689226C2211yescharacteristic
167#15689225C2211yescharacteristic
168#15689225C2211yescharacteristic
169#15689224C2211yescharacteristic
170#15689224C2211yescharacteristic
171#15689224C2211yescharacteristic
172#15689223C2211yescharacteristic
173#15689223C2211yescharacteristic
174#15689221C2211yescharacteristic
175C4×#10625325C2211yescharacteristic
176SD16×Dic47C2211yescharacteristic
177C4×#10625336C2211yescharacteristic
178C4×#10625335C2211yescharacteristic
179#15689208C2211yescharacteristic
180D8×Dic47C2211yescharacteristic
181#15689203C2211yescharacteristic
182#15689185C2211yescharacteristic
183#15689183C2211yescharacteristic
184#15689183C2211yescharacteristic
185#15689182C2211yescharacteristic
186#15689179C2211yescharacteristic
187#15689178C2211yescharacteristic
188C47×#556C2211yescharacteristic, complemented
189C47×#554C2211yescharacteristic
190C47×#491C2211yescharacteristic, complemented
191C47×#489C2211yescharacteristic, complemented
192C47×#488C2211yescharacteristic, complemented
193C47×#479C2211yescharacteristic, complemented
194C47×#478C2211yescharacteristic, complemented
195C47×#475C2211yescharacteristic, complemented
196C47×#463C2211yescharacteristic
197C47×#463C2211yescharacteristic
198C47×#461C2211yescharacteristic
199C47×#446C2211yescharacteristic, complemented
200C47×#442C2211yescharacteristic
201C47×#440C2211yescharacteristic
202C4×SD16×C47C2211yescharacteristic
203C22×Dic94—21no—
204C2×Q8×D47—21no—
205C2×D4×D47C2311yescharacteristic
206C22×C4×D47—21no—
207C2×#10625325C2311yescharacteristic
208C2×#10625335C2311yescharacteristic
209C2×#10625336C2311yescharacteristic
210C2×#10625336C2311yescharacteristic
211C2×#10625334C2311yescharacteristic
212#13094024—21no—
213#13094024—21no—
214#13094024C2311yescharacteristic
215#13094024C2311yescharacteristic
216#13094024C2311yescharacteristic
217#13094024C2311yescharacteristic
218#13094023—21no—
219#13094023—21no—
220#13094023—21no—
221#13094023—21no—
222#13094023D411yescharacteristic
223#13094023C2311yescharacteristic
224#13094023C2311yescharacteristic
225#13094023C2311yescharacteristic
226#13094023C2311yescharacteristic
227#13094022—21no—
228#13094022D411yescharacteristic
229#13094022C2311yescharacteristic
230#13094022C2311yescharacteristic
231#13094019—21no—
232#13094019—21no—
233#13094018—21no—
234#13094018—21no—
235#13094017—21no—
236#13094017—21no—
237#13094017—21no—
238#13094017—21no—
239#13094017—21no—
240#13094017—21no—
241#13094017—21no—
242#13094016—21no—
243#13094016—21no—
244#13094016C2311yescharacteristic
245#13094016C2311yescharacteristic
246#13094015—21no—
247#13094015—21no—
248#13094015—21no—
249#13094015—21no—
250#13094015—21no—
251#13094015—21no—
252#13094015C2311yescharacteristic
253#13094015C2311yescharacteristic
254#13094015C2311yescharacteristic
255#13094015C2311yescharacteristic
256#13094015C2311yescharacteristic
257#13094014—21no—
258#13094014—21no—
259#13094014—21no—
260#13094014—21no—
261#13094014—21no—
262#13094014—21no—
263#13094014D411yescharacteristic
264#13094014D411yescharacteristic
265#13094011C2311yescharacteristic
266#13094010—21no—
267#13094010—21no—
268#13094008—21no—
269#13094008—21no—
270#13094006—21no—
271#13094004—21no—
272#13094004—21no—
273#13094004—21no—
274#13094004—21no—
275#13094004D411yescharacteristic
276#13094004C2311yescharacteristic
277#13094003—21no—
278#13094003—21no—
279#13094003—21no—
280#13094003—21no—
281#13094002—21no—
282#13094002—21no—
283#13094002—21no—
284#13094002—21no—
285#13094002—21no—
286#13094002—21no—
287#13094002—21no—
288#13094002—21no—
289#13094002—21no—
290#13094002—21no—
291#13094002—21no—
292#13094002—21no—
293#13094002D411yescharacteristic
294#13094002D411yescharacteristic
295#13094001—21no—
296#13094001—21no—
297#13094001—21no—
298#13094001—21no—
299#13094001—21no—
300#13094001—21no—
301#13094001—21no—
302#13094001—21no—
303#13094001—21no—
304#13094001—21no—
305#13094001—21no—
306#13094001—21no—
307#13094000—21no—
308#13094000—21no—
309#13094000—21no—
310#13094000D411yescharacteristic
311#13094000C2311yescharacteristic
312#13094000C2311yescharacteristic
313#13093995C2311yescharacteristic
314Q8×Dic47—21no—
315Q8×Dic47C2311yescharacteristic
316Q8×Dic47C2311yescharacteristic
317Q8×Dic47C2311yescharacteristic
318Q8×Dic47C2311yescharacteristic
319C4×Dic94—21no—
320C4×Dic94—21no—
321C4×Dic94C2311yescharacteristic
322C4×Dic94C2311yescharacteristic
323C4×Dic94C2311yescharacteristic
324C4×Dic94C2311yescharacteristic
325C4×Dic94C2311yescharacteristic
326C4×Dic94C2311yescharacteristic
327#13093989—21no—
328#13093989—21no—
329#13093989—21no—
330#13093989—21no—
331C4×D188C2311yescharacteristic
332C4×D188C2311yescharacteristic
333C4×D188C2311yescharacteristic
334D4×Dic47C2311yescharacteristic
335D4×Dic47C2311yescharacteristic
336D4×Dic47C2311yescharacteristic
337D4×Dic47C2311yescharacteristic
338D4×Dic47C2311yescharacteristic
339#13093986C2311yescharacteristic
340#13093986C2311yescharacteristic
341#13093986C2311yescharacteristic
342C4×C22⋊D47—21no—
343C4×C22⋊D47—21no—
344C4×C22⋊D47—21no—
345C4×C22⋊D47—21no—
346(C22⋊D47)⋊C4—21no—
347(C22⋊D47)⋊C4—21no—
348(C22⋊D47)⋊C4—21no—
349#13093983—21no—
350#13093982—21no—
351#13093982C2311yescharacteristic
352#13093982C2311yescharacteristic
353#13093981C2311yescharacteristic
354#13093981C2311yescharacteristic
355#13093980—21no—
356#13093980—21no—
357C2×C4⋊Dic47—21no—
358C2×Dic47⋊C4—21no—
359C2×Dic47⋊C4—21no—
360C4⋊C4×D47—21no—
361C4⋊C4×D47—21no—
362C4⋊C4×D47—21no—
363C4⋊C4×D47C2311yescharacteristic
364C2×(C2×D47)⋊C4—21no—
365C2×(C2×D47)⋊C4—21no—
366C22⋊C4×D47—21no—
367C22⋊C4×D47—21no—
368C22⋊C4×D47—21no—
369C42×D47C2311yescharacteristic
370#13093958C2311yescharacteristic
371#13093958C2311yescharacteristic
372#13093958C2311yescharacteristic
373#13093958C2311yescharacteristic
374#13093958C2311yescharacteristic
375#13093958C2311yescharacteristic
376#13093957C2311yescharacteristic
377#13093957C2311yescharacteristic
378#13093957C2311yescharacteristic
379#13093957C2311yescharacteristic
380#13093957C2311yescharacteristic
381#13093957C2311yescharacteristic
382#13093957C2311yescharacteristic
383#13093956C2311yescharacteristic
384#13093956C2311yescharacteristic
385#13093956C2311yescharacteristic
386#13093955C2311yescharacteristic
387#13093955C2311yescharacteristic
388#13093955C2311yescharacteristic
389#13093955C2311yescharacteristic
390#13093955C2311yescharacteristic
391C4⋊(C47⋊C8)C2311yescharacteristic
392C4⋊(C47⋊C8)C2311yescharacteristic
393C4⋊(C47⋊C8)C2311yescharacteristic
394Dic47⋊C8C2311yescharacteristic
395Dic47⋊C8C2311yescharacteristic
396Dic47⋊C8C2311yescharacteristic
397Dic47⋊C8C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399Dic47⋊C8C2311yescharacteristic
400#13093949C2311yescharacteristic
401#13093949C2311yescharacteristic
402#13093949C2311yescharacteristic
403#13093948C2311yescharacteristic
404#13093948C2311yescharacteristic
405#13093948C2311yescharacteristic
406#13093948C2311yescharacteristic
407#13093948C2311yescharacteristic
408#13093948C2311yescharacteristic
409#13093947C2311yescharacteristic
410#13093947C2311yescharacteristic
411#13093947C2311yescharacteristic
412#13093946C2311yescharacteristic
413#13093946C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093945C2311yescharacteristic
416#13093945C2311yescharacteristic
417#13093945C2311yescharacteristic
418#13093945C2311yescharacteristic
419#13093945C2311yescharacteristic
420#13093945C2311yescharacteristic
421#13093944C2311yescharacteristic
422(C2×D47)⋊C8C2311yescharacteristic
423(C2×D47)⋊C8C2311yescharacteristic
424(C2×D47)⋊C8C2311yescharacteristic
425(C2×D47)⋊C8C2311yescharacteristic
426#13093935C2311yescharacteristic
427#13093935C2311yescharacteristic
428#13093934C2311yescharacteristic
429#13093934C2311yescharacteristic
430#13093934C2311yescharacteristic
431#13093934C2311yescharacteristic
432C4×C47⋊C8C2311yescharacteristic
433C8×Dic47C2311yescharacteristic
434C8×Dic47C2311yescharacteristic
435C2×SD16×C47C2311yescharacteristic
436C2×SD16×C47C2311yescharacteristic
437C2×D8×C47C2311yescharacteristic
438C4⋊Q8×C47C2311yescharacteristic
439C4⋊Q8×C47C2311yescharacteristic
440#126×C47—21no—
441#126×C47—21no—
442#125×C47C2311yescharacteristic
443#125×C47C2311yescharacteristic
444#124×C47C2311yescharacteristic
445#124×C47C2311yescharacteristic
446C22⋊Q8×C47—21no—
447C22⋊Q8×C47—21no—
448C22⋊Q8×C47—21no—
449C22⋊Q8×C47—21no—
450C4×Q8×C47C2311yescharacteristic
451C4×Q8×C47C2311yescharacteristic
452C4×Q8×C47C2311yescharacteristic
453C4×D4×C47C2311yescharacteristic
454C4×D4×C47C2311yescharacteristic
455C4×D4×C47C2311yescharacteristic
456C4×D4×C47C2311yescharacteristic
457#117×C47—21no—
458C2×C4⋊C4×C47—21no—
459#107×C47C2311yescharacteristic
460#106×C47C2311yescharacteristic
461#106×C47C2311yescharacteristic
462C4⋊C8×C47C2311yescharacteristic
463C4⋊C8×C47C2311yescharacteristic
464C4⋊C8×C47C2311yescharacteristic
465#103×C47C2311yescharacteristic
466#103×C47C2311yescharacteristic
467#103×C47C2311yescharacteristic
468#103×C47C2311yescharacteristic
469#103×C47C2311yescharacteristic
470#103×C47C2311yescharacteristic
471#102×C47C2311yescharacteristic
472#102×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#97×C47C2311yescharacteristic
476#97×C47C2311yescharacteristic
477C4×C8×C47C2311yescharacteristic
478C23×D47—21no—
479C2×Q8×C47—21no—
480C2×Q8×C47C2×D411yescharacteristic
481C2×Q8×C47C2411yescharacteristic
482C2×Q8×C47C2411yescharacteristic
483C2×D4×C47C2411yescharacteristic
484C2×D4×C47C2411yescharacteristic
485C22×C4×C47—21no—
486C22×C4×C47—21no—
487C22×C4×C47—21no—
488C22×C4×C47—21no—
489C2×C22⋊D47—21no—
490C2×C22⋊D47—21no—
491C22×Dic47—21no—
492C22×Dic47—21no—
493C22×Dic47—21no—
494C22×Dic47—21no—
495C22×Dic47—21no—
496Q8×D47—82no—
497D4×D47—22no—
498D4×D47—22no—
499C2×D188C2411yescharacteristic
500C2×C4×D47—21no—
501C2×C4×D47—21no—
502C2×C4×D47—21no—
503C2×C4×D47—21no—
504C2×C4×D47—21no—
505C2×C4×D47—21no—
506C2×C4×D47—21no—
507C2×C4×D47—82no—
508C2×C4×D47C2×D411yescharacteristic
509C2×C4×D47C2×D411yescharacteristic
510C2×C4×D47C2411yescharacteristic
511C2×Dic94—21no—
512C2×Dic94—21no—
513C2×Dic94—21no—
514C2×Dic94—21no—
515C2×Dic94—21no—
516C2×Dic94—21no—
517C2×Dic94—21no—
518C2×Dic94—21no—
519C2×Dic94—82no—
520C2×Dic94C2×D411yescharacteristic
521C2×Dic94C2×D411yescharacteristic
522C2×Dic94C2×D411yescharacteristic
523C2×Dic94C2411yescharacteristic
524SD16×C47—22no—
525SD16×C47—22no—
526D8×C47—22no—
527C2×C8×C47C2411yescharacteristic
528C2×C8×C47C2411yescharacteristic
529C2×C8×C47C2411yescharacteristic
530C2×C8×C47C2411yescharacteristic
531C4⋊C4×C47—21no—
532C4⋊C4×C47—21no—
533C4⋊C4×C47—21no—
534C4⋊C4×C47—21no—
535C4⋊C4×C47—21no—
536C4⋊C4×C47—21no—
537C4⋊C4×C47—21no—
538C4⋊C4×C47—21no—
539C4⋊C4×C47—21no—
540C4⋊C4×C47C2×D411yescharacteristic
541C4⋊C4×C47C2×D411yescharacteristic
542C4⋊C4×C47C2×D411yescharacteristic
543C4⋊C4×C47C2411yescharacteristic
544C4⋊C4×C47C2411yescharacteristic
545C4⋊C4×C47C2411yescharacteristic
546C4⋊C4×C47C2411yescharacteristic
547C22⋊C4×C47—21no—
548C22⋊C4×C47—21no—
549C22⋊C4×C47—21no—
550C22⋊C4×C47—21no—
551C22⋊C4×C47—21no—
552C22⋊C4×C47—21no—
553C22⋊C4×C47—21no—
554C22⋊C4×C47—21no—
555C42×C47—21no—
556C42×C47—21no—
557C42×C47C2411yescharacteristic
558C42×C47C2411yescharacteristic
559C42×C47C2411yescharacteristic
560C22⋊Dic47—21no—
561C22⋊Dic47—21no—
562C22⋊Dic47—21no—
563C22⋊Dic47—21no—
564C22⋊Dic47—21no—
565C22⋊Dic47—21no—
566C22⋊Dic47—21no—
567C22⋊Dic47—21no—
568#10625336—22no—
569#10625336—22no—
570#10625335—22no—
571#10625334—22no—
572(C2×D47)⋊C4—21no—
573(C2×D47)⋊C4—21no—
574(C2×D47)⋊C4—21no—
575(C2×D47)⋊C4—21no—
576(C2×D47)⋊C4—21no—
577(C2×D47)⋊C4—21no—
578(C2×D47)⋊C4—21no—
579(C2×D47)⋊C4—21no—
580(C2×D47)⋊C4—21no—
581(C2×D47)⋊C4—21no—
582(C2×D47)⋊C4—21no—
583(C2×D47)⋊C4C2×D411yescharacteristic
584(C2×D47)⋊C4C2×D411yescharacteristic
585(C2×D47)⋊C4C2×D411yescharacteristic
586(C2×D47)⋊C4C2×D411yescharacteristic
587C4⋊Dic47—21no—
588C4⋊Dic47—21no—
589C4⋊Dic47—21no—
590C4⋊Dic47—21no—
591C4⋊Dic47—21no—
592C4⋊Dic47—21no—
593C4⋊Dic47—21no—
594C4⋊Dic47—21no—
595C4⋊Dic47—21no—
596C4⋊Dic47—21no—
597C4⋊Dic47—21no—
598C4⋊Dic47—21no—
599C4⋊Dic47—21no—
600C4⋊Dic47—21no—
601C4⋊Dic47C2×D411yescharacteristic
602C4⋊Dic47C2×D411yescharacteristic
603C4⋊Dic47C2×D411yescharacteristic
604C4⋊Dic47C2411yescharacteristic
605C4⋊Dic47C2411yescharacteristic
606C4⋊Dic47C2411yescharacteristic
607C4⋊Dic47C2411yescharacteristic
608C4⋊Dic47C2411yescharacteristic
609C4⋊Dic47C2411yescharacteristic
610Dic47⋊C4—21no—
611Dic47⋊C4—21no—
612Dic47⋊C4—21no—
613Dic47⋊C4—21no—
614Dic47⋊C4—21no—
615Dic47⋊C4—21no—
616Dic47⋊C4—21no—
617Dic47⋊C4—21no—
618Dic47⋊C4—21no—
619Dic47⋊C4—21no—
620Dic47⋊C4—21no—
621Dic47⋊C4—21no—
622Dic47⋊C4—21no—
623Dic47⋊C4—21no—
624Dic47⋊C4—21no—
625Dic47⋊C4—21no—
626Dic47⋊C4—21no—
627Dic47⋊C4—21no—
628Dic47⋊C4—21no—
629Dic47⋊C4—21no—
630Dic47⋊C4—21no—
631Dic47⋊C4—21no—
632Dic47⋊C4—21no—
633Dic47⋊C4C2×D411yescharacteristic
634Dic47⋊C4C2×D411yescharacteristic
635Dic47⋊C4C2×D411yescharacteristic
636Dic47⋊C4C2×D411yescharacteristic
637Dic47⋊C4C2×D411yescharacteristic
638Dic47⋊C4C2×D411yescharacteristic
639Dic47⋊C4C2×D411yescharacteristic
640Dic47⋊C4C2×D411yescharacteristic
641Dic47⋊C4C2×D411yescharacteristic
642Dic47⋊C4C2×D411yescharacteristic
643C4×Dic47—21no—
644C4×Dic47—21no—
645C4×Dic47—21no—
646C4×Dic47—21no—
647C4×Dic47—21no—
648C4×Dic47—21no—
649C4×Dic47—21no—
650C4×Dic47—21no—
651C4×Dic47—21no—
652C4×Dic47C2×D411yescharacteristic
653C4×Dic47C2×D411yescharacteristic
654C4×Dic47C2411yescharacteristic
655C4×Dic47C2411yescharacteristic
656C4×Dic47C2411yescharacteristic
657C2×C47⋊C8C2411yescharacteristic
658C2×C47⋊C8C2411yescharacteristic
659C2×C47⋊C8C2411yescharacteristic
660C2×C47⋊C8C2411yescharacteristic
661#10625325—22no—
662C23×C47—21no—
663C23×C47—21no—
664C22×D47—21no—
665C22×D47—24no—
666C22×D47—81no—
667C22×D47—81no—
668C22×D47C22×D411yescharacteristic
669Q8×C47—21no—
670Q8×C47—21no—
671Q8×C47—21no—
672Q8×C47—21no—
673Q8×C47—41no—
674Q8×C47—81no—
675D4×C47—21no—
676D4×C47—21no—
677D4×C47—21no—
678D4×C472−1+412yes—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—42no—
686C2×C4×C47—81no—
687C2×C4×C47—81no—
688C2×C4×C47—81no—
689C2×C4×C47C22×D411yescharacteristic
690C2×C4×C47C22×D411yescharacteristic
691C2×C4×C47C22×D411yescharacteristic
692C2×C4×C47C22×D411yescharacteristic
693C2×C4×C47C22×D411yescharacteristic
694C2×C4×C47C22×D411yescharacteristic
695C2×C4×C47C2511yescharacteristic
696C22⋊D47—24no—
697C22⋊D47—81no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—42no—
706C2×Dic47—81no—
707C2×Dic47—81no—
708C2×Dic47—81no—
709C2×Dic47—81no—
710C2×Dic47C22×D411yescharacteristic
711C2×Dic47C22×D411yescharacteristic
712C2×Dic47C22×D411yescharacteristic
713C2×Dic47C22×D411yescharacteristic
714C2×Dic47C22×D411yescharacteristic
715C2×Dic47C22×D411yescharacteristic
716C2×Dic47C22×D411yescharacteristic
717D188—21no—
718D1882−1+412yes—
719C4×D47—21no—
720C4×D47—21no—
721C4×D47—41no—
722C4×D47—41no—
723C4×D47—42no—
724C4×D47—81no—
725C4×D47—81no—
726C4×D47—81no—
727C4×D47—81no—
728C4×D47—81no—
729C4×D47—81no—
730Dic94—21no—
731Dic94—21no—
732Dic94—41no—
733Dic94—41no—
734Dic94—41no—
735Dic94—42no—
736Dic94—81no—
737Dic94—81no—
738Dic94—81no—
739Dic94—81no—
740Dic94—81no—
741Dic94—81no—
742Dic94—81no—
743C8×C47—21no—
744C8×C47—21no—
745C8×C47—21no—
746C8×C47—21no—
747C47⋊C8—21no—
748C47⋊C8—21no—
749C47⋊C8—21no—
750C47⋊C8—21no—
751#61873—471nomaximal, Sylow
752C22×C47—22no—
753C22×C47—41no—
754C22×C47—41no—
755C22×C47—41no—
756C22×C47—41no—
757C22×C47—41no—
758C22×C47C23×D411yescharacteristic
759C2×D47—21no—
760C2×D47—21no—
761C2×D47—21no—
762C2×D47—22no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—84no—
766C4×C47—21no—
767C4×C47—21no—
768C4×C47—21no—
769C4×C47—21no—
770C4×C47—21no—
771C4×C47—21no—
772C4×C47—41no—
773C4×C47—41no—
774C4×C47—41no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778C4×C47C2×2−1+411yescharacteristic
779C4×C47C2×2−1+411yescharacteristic
780Dic47—21no—
781Dic47—21no—
782Dic47—21no—
783Dic47—21no—
784Dic47—21no—
785Dic47—21no—
786Dic47—21no—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794#3555—471no—
795#3501—471no—
796#3389—471no—
797#3389—471no—
798#3388—471no—
799#3388—471no—
800#3386—471no—
801#3386—471no—
802#3385—471no—
803#3385—471no—
804#3376—471no—
805#3376—471no—
806#3376—471no—
807#3376D4711yescharacteristic, complemented
808#3372—471no—
809#3372—471no—
810#3367—471no—
811#3367—471no—
812#3243—471no—
813#3243—471no—
814#3242—471no—
815#3242—471no—
816#3240—471no—
817#3237—471no—
818#3123—471no—
819#3123—471no—
820#3118—471no—
821#3118—471no—
822#3114—471no—
823#3110—471no—
824#2987—471no—
825C2×C47—42no—
826C2×C47—81no—
827C2×C47#348611yescharacteristic
828C2×C47#358511yescharacteristic
829C2×C47#358611yescharacteristic
830D47—41no—
831D47—42no—
832#563—941no—
833#563—941no—
834Q82—471no—
835#557—471no—
836#557—471no—
837#557—471no—
838#556—471no—
839#556—471no—
840#556—941no—
841#556C2×D4711yescharacteristic, complemented
842#554—471no—
843#554—471no—
844#554—471no—
845#554—471no—
846#554—471no—
847#554—471no—
848#554—941no—
849#554—941no—
850#554—941no—
851#554C2×D4711yescharacteristic
852#552—941no—
853D4×Q8—471no—
854D4×Q8—471no—
855D4×Q8—941no—
856#544—471no—
857#544—471no—
858#544—941no—
859#543—941no—
860#543—941no—
861#542—471no—
862#542—471no—
863#541—471no—
864#541—471no—
865#541—941no—
866#541—941no—
867#541—941no—
868#533—471no—
869#533—471no—
870#533—471no—
871#529—471no—
872C2×C22⋊Q8—941no—
873C2×C22⋊Q8—941no—
874#518—471no—
875#518—471no—
876C2×C4×D4—471no—
877#501—471no—
878#501—471no—
879#501—471no—
880#501—471no—
881#501—471no—
882#501—471no—
883#501—471no—
884#501—471no—
885#500—471no—
886#500—471no—
887#499—471no—
888#499—471no—
889#491—471no—
890#491—471no—
891#491—471no—
892#491C2×D4711yescharacteristic, complemented
893#489—471no—
894#489—471no—
895#489—471no—
896#489C2×D4711yescharacteristic, complemented
897#488—471no—
898#488C2×D4711yescharacteristic, complemented
899#487—471no—
900#487—471no—
901#485—471no—
902#485—471no—
903#485—471no—
904#485—471no—
905#485—471no—
906#485—471no—
907#484—471no—
908#484—471no—
909#483—471no—
910#482—471no—
911#482—471no—
912#480—471no—
913#479—471no—
914#479—471no—
915#479—471no—
916#479—471no—
917#479—471no—
918#479—471no—
919#479—471no—
920#479C2×D4711yescharacteristic, complemented
921#478—471no—
922#478—471no—
923#478—471no—
924#478—471no—
925#478—471no—
926#478—471no—
927#478—471no—
928#478—471no—
929#478—471no—
930#478C2×D4711yescharacteristic, complemented
931#477—471no—
932#477—471no—
933#477—471no—
934#477—471no—
935#477—471no—
936#477—471no—
937#476—471no—
938#476—471no—
939#475—471no—
940#475—471no—
941#475—471no—
942#475C2×D4711yescharacteristic, complemented
943#474—471no—
944#474—471no—
945#474—471no—
946#474—471no—
947#474—471no—
948#474—471no—
949#463—471no—
950#463—471no—
951#463—471no—
952#463—471no—
953#463C2×D4711yescharacteristic
954#463C2×D4711yescharacteristic
955#461—471no—
956#461—471no—
957#461—471no—
958#461—471no—
959#461—471no—
960#461C2×D4711yescharacteristic
961#450—471no—
962#450—471no—
963#450—471no—
964#447—471no—
965#446—471no—
966#446—471no—
967#446—471no—
968#446—471no—
969#446—471no—
970#446—471no—
971#446—471no—
972#446C2×D4711yescharacteristic, complemented
973#442—471no—
974#442—471no—
975#442—471no—
976#442C2×D4711yescharacteristic
977#440—471no—
978#440—471no—
979#440—471no—
980#440—471no—
981#440—471no—
982#440—471no—
983#440—471no—
984#440—471no—
985#440—471no—
986#440—471no—
987#440—471no—
988#440C2×D4711yescharacteristic
989C4×SD16—471no—
990C4×SD16—471no—
991C4×SD16—471no—
992C4×SD16—471no—
993C4×SD16—471no—
994C4×SD16C2×D4711yescharacteristic
995C4×D8—471no—
996C4×D8—471no—
997#433—471no—
998#433—471no—
999#433—471no—
1000#433—471no—
1001#432—471no—
1002#432—471no—
1003C47#6187311yescharacteristic, complemented, Sylow
1004C22×Q8—941no—
1005C22×Q8—941no—
1006C22×D4—471no—
1007C23×C4—941no—
1008C2×SD16—471no—
1009C2×SD16—471no—
1010C2×SD16—471no—
1011C2×SD16—471no—
1012C2×SD16C22×D4711yescharacteristic
1013C2×SD16C22×D4711yescharacteristic
1014C2×D8—471no—
1015C2×D8C22×D4711yescharacteristic
1016C4⋊Q8—471no—
1017C4⋊Q8—471no—
1018C4⋊Q8—471no—
1019C4⋊Q8—471no—
1020C4⋊Q8—471no—
1021C4⋊Q8—471no—
1022C4⋊Q8—471no—
1023C4⋊Q8—471no—
1024C4⋊Q8—471no—
1025C4⋊Q8—471no—
1026C4⋊Q8—471no—
1027C4⋊Q8—471no—
1028C4⋊Q8—941no—
1029C4⋊Q8—941no—
1030C4⋊Q8—941no—
1031C4⋊Q8—941no—
1032C4⋊Q8—941no—
1033C4⋊Q8—941no—
1034C4⋊Q8—941no—
1035C4⋊Q8C22×D4711yescharacteristic
1036C4⋊Q8C22×D4711yescharacteristic
1037#126—21no—
1038#126—21no—
1039#126—941no—
1040#126—941no—
1041#126—941no—
1042#126—941no—
1043#126—941no—
1044#126—941no—
1045#126—941no—
1046#126—941no—
1047#126—941no—
1048#126—941no—
1049#126—941no—
1050#125—471no—
1051#125—471no—
1052#125—471no—
1053#125—471no—
1054#125—471no—
1055#125—471no—
1056#125—471no—
1057#125—471no—
1058#125—471no—
1059#125—941no—
1060#125—941no—
1061#125—941no—
1062#125—941no—
1063#125—941no—
1064#125—941no—
1065#125—941no—
1066#125—941no—
1067#125—941no—
1068#125—941no—
1069#125—941no—
1070#125—941no—
1071#125—941no—
1072#125—941no—
1073#125C22×D4711yescharacteristic
1074#125C22×D4711yescharacteristic
1075#124—471no—
1076#124—941no—
1077#124—941no—
1078#124C22×D4711yescharacteristic
1079#124C22×D4711yescharacteristic
1080#123—941no—
1081#123—941no—
1082#123—941no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—21no—
1087C22⋊Q8—471no—
1088C22⋊Q8—471no—
1089C22⋊Q8—471no—
1090C22⋊Q8—471no—
1091C22⋊Q8—471no—
1092C22⋊Q8—471no—
1093C22⋊Q8—471no—
1094C22⋊Q8—941no—
1095C22⋊Q8—941no—
1096C22⋊Q8—941no—
1097C22⋊Q8—941no—
1098C22⋊Q8—941no—
1099C22⋊Q8—941no—
1100C22⋊Q8—941no—
1101C22⋊Q8—941no—
1102C22⋊Q8—941no—
1103C22⋊Q8—941no—
1104C22⋊Q8—941no—
1105C22⋊Q8—941no—
1106C22⋊Q8—941no—
1107C22⋊Q8—941no—
1108C22⋊Q8—941no—
1109C22⋊Q8—941no—
1110C22⋊Q8—941no—
1111C22⋊Q8—941no—
1112C22⋊Q8—941no—
1113C22⋊Q8—941no—
1114C22⋊Q8—941no—
1115C22⋊Q8—941no—
1116C22⋊Q8—941no—
1117C22⋊Q8—941no—
1118C22⋊Q8—941no—
1119C22⋊Q8—941no—
1120C22⋊Q8—941no—
1121C22⋊Q8—941no—
1122C22⋊Q8—941no—
1123C22⋊Q8—941no—
1124C22⋊Q8—941no—
1125C22⋊Q8—941no—
1126C22⋊Q8—941no—
1127C22⋊Q8—941no—
1128C22⋊Q8—941no—
1129#121—471no—
1130C4×Q8—471no—
1131C4×Q8—471no—
1132C4×Q8—471no—
1133C4×Q8—471no—
1134C4×Q8—471no—
1135C4×Q8—471no—
1136C4×Q8—471no—
1137C4×Q8—471no—
1138C4×Q8—471no—
1139C4×Q8—471no—
1140C4×Q8—941no—
1141C4×Q8—941no—
1142C4×Q8—941no—
1143C4×Q8—941no—
1144C4×Q8—941no—
1145C4×Q8—941no—
1146C4×Q8—941no—
1147C4×Q8C22×D4711yescharacteristic
1148C4×Q8C22×D4711yescharacteristic
1149C4×Q8C22×D4711yescharacteristic
1150C4×D4—471no—
1151C4×D4—471no—
1152C4×D4—471no—
1153C4×D4—471no—
1154C4×D4—471no—
1155C4×D4—471no—
1156C4×D4—471no—
1157C4×D4—471no—
1158C4×D4—471no—
1159C4×D4—471no—
1160C4×D4—471no—
1161C4×D4—941no—
1162C4×D4—941no—
1163C4×D4—941no—
1164C4×D4—941no—
1165C4×D4—941no—
1166C4×D4—941no—
1167C4×D4—941no—
1168C4×D4C22×D4711yescharacteristic
1169C4×D4C22×D4711yescharacteristic
1170C4×D4C22×D4711yescharacteristic
1171C4×D4C22×D4711yescharacteristic
1172#117—21no—
1173#117—471no—
1174#117—471no—
1175#117—471no—
1176#117—471no—
1177#117—941no—
1178#117—941no—
1179#117—941no—
1180#117—941no—
1181C2×C4⋊C4—21no—
1182C2×C4⋊C4—471no—
1183C2×C4⋊C4—941no—
1184C2×C4⋊C4—941no—
1185C2×C4⋊C4—941no—
1186C2×C4⋊C4—941no—
1187C2×C4⋊C4—941no—
1188C2×C4⋊C4—941no—
1189C2×C22⋊C4—941no—
1190C2×C22⋊C4—941no—
1191C2×C22⋊C4—941no—
1192C2×C22⋊C4—941no—
1193C2×C22⋊C4—941no—
1194C2×C42—471no—
1195#107—471no—
1196#107—471no—
1197#107—471no—
1198#107—471no—
1199#107—471no—
1200#107—471no—
1201#107—471no—
1202#107—471no—
1203#107—471no—
1204#107—471no—
1205#107—471no—
1206#107—471no—
1207#107—471no—
1208#107C22×D4711yescharacteristic
1209#106—471no—
1210#106—471no—
1211#106—471no—
1212#106—471no—
1213#106—471no—
1214#106—471no—
1215#106—471no—
1216#106—471no—
1217#106C22×D4711yescharacteristic
1218#106C22×D4711yescharacteristic
1219C4⋊C8—471no—
1220C4⋊C8—471no—
1221C4⋊C8—471no—
1222C4⋊C8—471no—
1223C4⋊C8—471no—
1224C4⋊C8—471no—
1225C4⋊C8—471no—
1226C4⋊C8—471no—
1227C4⋊C8—471no—
1228C4⋊C8C22×D4711yescharacteristic
1229C4⋊C8C22×D4711yescharacteristic
1230C4⋊C8C22×D4711yescharacteristic
1231#103—471no—
1232#103—471no—
1233#103—471no—
1234#103—471no—
1235#103—471no—
1236#103—471no—
1237#103—471no—
1238#103—471no—
1239#103—471no—
1240#103—471no—
1241#103—471no—
1242#103—471no—
1243#103C22×D4711yescharacteristic
1244#103C22×D4711yescharacteristic
1245#103C22×D4711yescharacteristic
1246#103C22×D4711yescharacteristic
1247#103C22×D4711yescharacteristic
1248#103C22×D4711yescharacteristic
1249#102—471no—
1250#102—471no—
1251#102—471no—
1252#102—471no—
1253#102—471no—
1254#102—471no—
1255#102—471no—
1256#102—471no—
1257#102—471no—
1258#102—471no—
1259#102C22×D4711yescharacteristic
1260#102C22×D4711yescharacteristic
1261#102C22×D4711yescharacteristic
1262#102C22×D4711yescharacteristic
1263C22⋊C8—471no—
1264C22⋊C8—471no—
1265C22⋊C8—471no—
1266C22⋊C8—471no—
1267#97—471no—
1268#97—471no—
1269#97—471no—
1270#97—471no—
1271#97—471no—
1272#97—471no—
1273#97C22×D4711yescharacteristic
1274#97C22×D4711yescharacteristic
1275C4×C8—471no—
1276C4×C8—471no—
1277C4×C8—471no—
1278C4×C8C22×D4711yescharacteristic
1279C24—941no—
1280C2×Q8—21no—
1281C2×Q8—471no—
1282C2×Q8—471no—
1283C2×Q8—471no—
1284C2×Q8—471no—
1285C2×Q8—941no—
1286C2×Q8—941no—
1287C2×Q8—941no—
1288C2×Q8—941no—
1289C2×Q8—941no—
1290C2×Q8—941no—
1291C2×Q8—941no—
1292C2×Q8—941no—
1293C2×Q8—3762no—
1294C2×Q8—3762no—
1295C2×Q8D4×D4711yescharacteristic
1296C2×Q8C23×D4711yescharacteristic
1297C2×Q8C23×D4711yescharacteristic
1298C2×D4—471no—
1299C2×D4—941no—
1300C2×D4—942no—
1301C2×D4—942no—
1302C2×D4—941no—
1303C2×D4C23×D4711yescharacteristic
1304C2×D4C23×D4711yescharacteristic
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—471no—
1310C22×C4—471no—
1311C22×C4—471no—
1312C22×C4—941no—
1313C22×C4—941no—
1314C22×C4—941no—
1315C22×C4—941no—
1316C22×C4—941no—
1317C22×C4—941no—
1318C22×C4—941no—
1319C22×C4—941no—
1320C22×C4—941no—
1321C22×C4—941no—
1322C22×C4—941no—
1323C22×C4—941no—
1324C22×C4—3762no—
1325SD16—22no—
1326SD16—22no—
1327SD16—942no—
1328SD16—942no—
1329SD16—942no—
1330SD16—942no—
1331D8—22no—
1332D8—942no—
1333C2×C8—471no—
1334C2×C8—471no—
1335C2×C8—471no—
1336C2×C8—471no—
1337C2×C8C23×D4711yescharacteristic
1338C2×C8C23×D4711yescharacteristic
1339C2×C8C23×D4711yescharacteristic
1340C2×C8C23×D4711yescharacteristic
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—471no—
1351C4⋊C4—471no—
1352C4⋊C4—471no—
1353C4⋊C4—471no—
1354C4⋊C4—471no—
1355C4⋊C4—471no—
1356C4⋊C4—471no—
1357C4⋊C4—471no—
1358C4⋊C4—471no—
1359C4⋊C4—471no—
1360C4⋊C4—471no—
1361C4⋊C4—471no—
1362C4⋊C4—471no—
1363C4⋊C4—471no—
1364C4⋊C4—471no—
1365C4⋊C4—471no—
1366C4⋊C4—471no—
1367C4⋊C4—471no—
1368C4⋊C4—471no—
1369C4⋊C4—941no—
1370C4⋊C4—941no—
1371C4⋊C4—941no—
1372C4⋊C4—941no—
1373C4⋊C4—941no—
1374C4⋊C4—941no—
1375C4⋊C4—941no—
1376C4⋊C4—941no—
1377C4⋊C4—941no—
1378C4⋊C4—941no—
1379C4⋊C4—941no—
1380C4⋊C4—941no—
1381C4⋊C4—941no—
1382C4⋊C4—941no—
1383C4⋊C4—941no—
1384C4⋊C4—941no—
1385C4⋊C4—941no—
1386C4⋊C4—941no—
1387C4⋊C4—941no—
1388C4⋊C4—941no—
1389C4⋊C4—941no—
1390C4⋊C4—941no—
1391C4⋊C4—941no—
1392C4⋊C4—941no—
1393C4⋊C4—941no—
1394C4⋊C4—941no—
1395C4⋊C4—941no—
1396C4⋊C4—941no—
1397C4⋊C4—941no—
1398C4⋊C4—941no—
1399C4⋊C4—941no—
1400C4⋊C4—941no—
1401C4⋊C4—941no—
1402C4⋊C4—941no—
1403C4⋊C4—941no—
1404C4⋊C4—941no—
1405C4⋊C4—941no—
1406C4⋊C4D4×D4711yescharacteristic
1407C4⋊C4D4×D4711yescharacteristic
1408C4⋊C4D4×D4711yescharacteristic
1409C4⋊C4C23×D4711yescharacteristic
1410C4⋊C4C23×D4711yescharacteristic
1411C4⋊C4C23×D4711yescharacteristic
1412C4⋊C4C23×D4711yescharacteristic
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—471no—
1422C22⋊C4—471no—
1423C22⋊C4—471no—
1424C22⋊C4—471no—
1425C22⋊C4—941no—
1426C22⋊C4—941no—
1427C22⋊C4—941no—
1428C22⋊C4—941no—
1429C22⋊C4—941no—
1430C22⋊C4—941no—
1431C22⋊C4—941no—
1432C22⋊C4—941no—
1433C22⋊C4—941no—
1434C22⋊C4—941no—
1435C22⋊C4—941no—
1436C22⋊C4—941no—
1437C22⋊C4—941no—
1438C22⋊C4—941no—
1439C22⋊C4—941no—
1440C22⋊C4—941no—
1441C22⋊C4—941no—
1442C22⋊C4—941no—
1443C22⋊C4—941no—
1444C42—21no—
1445C42—21no—
1446C42—471no—
1447C42—471no—
1448C42—471no—
1449C42—471no—
1450C42—471no—
1451C42—941no—
1452C42—941no—
1453C42—941no—
1454C42—941no—
1455C42—941no—
1456C42—941no—
1457C42—941no—
1458C42—941no—
1459C42—941no—
1460C42C23×D4711yescharacteristic
1461C42C23×D4711yescharacteristic
1462C42C23×D4711yescharacteristic
1463C23—21no—
1464C23—21no—
1465C23—471no—
1466C23—944no—
1467C23—941no—
1468C23—3761no—
1469C23—3761no—
1470Q8—21no—
1471Q8—21no—
1472Q8—21no—
1473Q8—21no—
1474Q8—41no—
1475Q8—81no—
1476Q8—941no—
1477Q8—941no—
1478Q8—3761no—
1479Q8—3761no—
1480Q8—3761no—
1481Q8—3761no—
1482Q8—3761no—
1483Q8—3761no—
1484Q8—3761no—
1485Q8—1881no—
1486Q8—1881no—
1487Q8—1881no—
1488Q8—1882no—
1489D4—21no—
1490D4—21no—
1491D4—21no—
1492D4—472no—
1493D4—944no—
1494D4—941no—
1495D4—3761no—
1496D4#1309407112yes—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—42no—
1504C2×C4—81no—
1505C2×C4—81no—
1506C2×C4—81no—
1507C2×C4—471no—
1508C2×C4—471no—
1509C2×C4—471no—
1510C2×C4—471no—
1511C2×C4—471no—
1512C2×C4—471no—
1513C2×C4—471no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—3761no—
1524C2×C4—3761no—
1525C2×C4—3761no—
1526C2×C4—3761no—
1527C2×C4—3761no—
1528C2×C4—3761no—
1529C2×C4—3761no—
1530C2×C4—3761no—
1531C2×C4—3761no—
1532C2×C4—3761no—
1533C2×C4—1881no—
1534C2×C4—1881no—
1535C2×C4—1882no—
1536C2×C4—1882no—
1537C2×C4C2×D4×D4711yescharacteristic
1538C2×C4C2×D4×D4711yescharacteristic
1539C2×C4C2×D4×D4711yescharacteristic
1540C2×C4C2×D4×D4711yescharacteristic
1541C2×C4C2×D4×D4711yescharacteristic
1542C2×C4C2×D4×D4711yescharacteristic
1543C2×C4C24×D4711yescharacteristic
1544C8—21no—
1545C8—21no—
1546C8—21no—
1547C8—21no—
1548C8—941no—
1549C8—941no—
1550C8—941no—
1551C8—941no—
1552C22—22no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—941no—
1559C22—942no—
1560C22—941no—
1561C22—941no—
1562C22—3764no—
1563C22—1881no—
1564C22—1881no—
1565C22C22×D4×D4711yescharacteristic
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—21no—
1571C4—21no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—941no—
1579C4—941no—
1580C4—941no—
1581C4—941no—
1582C4—941no—
1583C4—941no—
1584C4—941no—
1585C4—1881no—
1586C4—1881no—
1587C4—1881no—
1588C4—1881no—
1589C4—1881no—
1590C4—1881no—
1591C4—1881no—
1592C42−1+4×D4711yescharacteristic
1593C4C2×#1309407111yescharacteristic
1594C2—42no—
1595C2—81no—
1596C2—1881no—
1597C2—1882no—
1598C2#2025703411yescharacteristic
1599C2#2025816611yescharacteristic
1600C2#2025817211yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3376C2
socleC22×C47C23×D4
prime radical#15689255C22
hypercenter#3376D47
hypocenterC47#61873
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3376

Complements

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

NH ≅ G/Ntype
1. #20257864C2semidirect
2. #20257187C2semidirect
3. #20256347C2semidirect
4. #20256345C2semidirect
5. #20256336C2semidirect
6. #20256334C2semidirect
7. #20256308C2semidirect
8. #20256307C2semidirect
9. #20256300C2semidirect
10. #20256298C2semidirect
11. #20256221C2semidirect
12. #20256219C2semidirect
13. #20256209C2semidirect
14. #20256166C2semidirect
15. #20256164C2semidirect
16. #20256103C2semidirect
17. #20256101C2semidirect
18. #20254666C2semidirect
19. #20254664C2semidirect
20. #20254663C2semidirect
21. #20254661C2semidirect
22. #20254627C2semidirect
23. #20254597C2semidirect
24. #20253639C2semidirect
25. #20253637C2semidirect
29. #20253486C2semidirect
30. #20252491C2semidirect
31. C47×#3376C2semidirect
34. Q8×Dic94C22semidirect
35. #15689852C22semidirect
36. #15689852C22semidirect
37. #15689848C22semidirect
38. #15689842C22semidirect
39. #15689842C22semidirect
44. #15689830C22semidirect
75. #15689533C22semidirect
76. #15689533C22semidirect
77. #15689532C22semidirect
78. #15689532C22semidirect
79. #15689531C22semidirect
80. #15689530C22semidirect
81. #15689530C22semidirect
82. #15689530C22semidirect
83. #15689528C22semidirect
84. #15689526C22semidirect
85. #15689524C22semidirect
86. #15689523C22semidirect
87. #15689491C22semidirect
88. #15689490C22semidirect
89. #15689490C22semidirect
90. #15689482C22semidirect
91. #15689481C22semidirect
92. #15689481C22semidirect
93. #15689477C22semidirect
94. #15689472C22semidirect
95. #15689472C22semidirect
108. #15689432C22semidirect
109. #15689431C22semidirect
110. #15689431C22semidirect
111. #15689430C22semidirect
112. #15689428C22semidirect
113. #15689427C22semidirect
114. #15689427C22semidirect
117. #15689425C22semidirect
118. #15689423C22semidirect
123. #15689421C22semidirect
124. #15689419C22semidirect
125. #15689416C22semidirect
126. #15689416C22semidirect
127. #15689416C22semidirect
128. #15689416C22semidirect
129. #15689415C22semidirect
132. #15689408C22semidirect
133. #15689406C22semidirect
134. #15689406C22semidirect
139. #15689401C22semidirect
140. #15689401C22semidirect
154. #15689254C22semidirect
155. #15689253C22semidirect
156. #15689252C22semidirect
157. #15689252C22semidirect
158. #15689251C22semidirect
159. #15689251C22semidirect
160. #15689250C22semidirect
188. C47×#556C22semidirect
190. C47×#491C22semidirect
191. C47×#489C22semidirect
192. C47×#488C22semidirect
193. C47×#479C22semidirect
194. C47×#478C22semidirect
195. C47×#475C22semidirect
199. C47×#446C22semidirect
807. #3376D47semidirect
841. #556C2×D47semidirect
892. #491C2×D47semidirect
896. #489C2×D47semidirect
898. #488C2×D47semidirect
920. #479C2×D47semidirect
930. #478C2×D47semidirect
942. #475C2×D47semidirect
972. #446C2×D47semidirect
1003. C47#61873semidirect

Maximal subgroups

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

subgroupindex
#202578642
#202571872
#202563472
#202563452
#202563362
#202563342
#202563082
#202563072
#202563002
#202562982
#202562212
#202562192
#202562092
#202561662
#202561642
#202561032
#202561012
#202546662
#202546642
#202546632
#202546612
#202546272
#202545972
#202536392
#202536372
#202535712
#202535692
#202535242
#202534862
#202524912
C47×#33762
#6187347