Finite Group Databasebeta

← #27088970

Subgroups — #27088970

Order 12032.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257211C211yesmaximal, characteristic, complemented
2#20256808C211yesmaximal, characteristic
3#20254693C211yesmaximal, characteristic, complemented
4#20254680C211yesmaximal, characteristic, complemented
5#20254676C211yesmaximal, characteristic, complemented
6#20254648C211yesmaximal, characteristic, complemented
7#20254643C211yesmaximal, characteristic, complemented
8#20254641C211yesmaximal, characteristic, complemented
9#20254638C211yesmaximal, characteristic, complemented
10#20254632C211yesmaximal, characteristic, complemented
11#20254623C211yesmaximal, characteristic, complemented
12#20254579C211yesmaximal, characteristic, complemented
13#20254575C211yesmaximal, characteristic, complemented
14#20254561C211yesmaximal, characteristic, complemented
15#20254551C211yesmaximal, characteristic, complemented
16#20254527C211yesmaximal, characteristic, complemented
17#20254522C211yesmaximal, characteristic, complemented
18#20253921C211yesmaximal, characteristic, complemented
19#20253915C211yesmaximal, characteristic, complemented
20#20253741C211yesmaximal, characteristic, complemented
21#20253739C211yesmaximal, characteristic, complemented
22#20253374C211yesmaximal, characteristic, complemented
23#20253367C211yesmaximal, characteristic, complemented
24#20253343C211yesmaximal, characteristic, complemented
25#20253339C211yesmaximal, characteristic, complemented
26#20253207C211yesmaximal, characteristic, complemented
27#20253180C211yesmaximal, characteristic, complemented
28#20253179C211yesmaximal, characteristic, complemented
29#478×D47C211yesmaximal, characteristic, complemented
30#20252051C211yesmaximal, characteristic, complemented
31C47×#3243C211yesmaximal, characteristic, complemented
32#15689850—21no—
33#15689848—21no—
34#15689834—21no—
35#15689831—21no—
36#15689831—21no—
37#15689829—21no—
38#15689827—21no—
39#15689827—21no—
40#15689753C2211yescharacteristic
41#15689753C2211yescharacteristic, complemented
42#15689751C2211yescharacteristic, complemented
43#15689750C2211yescharacteristic
44#15689750C2211yescharacteristic
45#15689750C2211yescharacteristic, complemented
46#15689745C2211yescharacteristic
47#15689743—21no—
48#15689728C2211yescharacteristic
49#15689725—21no—
50#15689724C2211yescharacteristic
51#15689712—21no—
52#15689707—21no—
53#15689703C2211yescharacteristic
54#15689691C2211yescharacteristic
55#15689689C2211yescharacteristic
56#15689678C2211yescharacteristic
57#15689678C2211yescharacteristic, complemented
58#15689676C2211yescharacteristic, complemented
59#15689674C2211yescharacteristic
60#15689672—21no—
61#15689668C2211yescharacteristic
62#15689659C2211yescharacteristic
63#15689656—21no—
64#15689652C2211yescharacteristic
65C2×#13094015C2211yescharacteristic, complemented
66#125×D47C2211yescharacteristic
67#125×D47C2211yescharacteristic, complemented
68#15689636—21no—
69#15689631—21no—
70#15689604C2211yescharacteristic
71#15689603C2211yescharacteristic
72C4×#10625354C2211yescharacteristic
73#15689591C2211yescharacteristic
74C4×D4×D47C2211yescharacteristic
75#15689532C2211yescharacteristic, complemented
76#15689531C2211yescharacteristic, complemented
77#15689531C2211yescharacteristic, complemented
78#15689531C2211yescharacteristic, complemented
79#15689530C2211yescharacteristic, complemented
80#15689529C2211yescharacteristic, complemented
81#15689529C2211yescharacteristic, complemented
82#15689527C2211yescharacteristic, complemented
83#15689525C2211yescharacteristic, complemented
84#15689524C2211yescharacteristic, complemented
85#15689524C2211yescharacteristic, complemented
86#15689522C2211yescharacteristic, complemented
87#15689520C2211yescharacteristic, complemented
88#15689519C2211yescharacteristic, complemented
89#15689489C2211yescharacteristic
90#15689488C2211yescharacteristic
91#15689486C2211yescharacteristic
92#15689486C2211yescharacteristic
93#15689484C2211yescharacteristic
94#15689484C2211yescharacteristic
95#15689482C2211yescharacteristic
96#15689479C2211yescharacteristic
97#15689479C2211yescharacteristic
98#15689477C2211yescharacteristic
99#15689471C2211yescharacteristic
100#15689470C2211yescharacteristic
101#15689468C2211yescharacteristic
102#15689468C2211yescharacteristic
103#15689462C2211yescharacteristic, complemented
104#15689462C2211yescharacteristic, complemented
105#15689461C2211yescharacteristic, complemented
106#15689457C2211yescharacteristic, complemented
107#15689452C2211yescharacteristic, complemented
108#15689451C2211yescharacteristic, complemented
109#15689450C2211yescharacteristic
110#15689450C2211yescharacteristic
111#15689450C2211yescharacteristic, complemented
112#15689450C2211yescharacteristic, complemented
113#15689448C2211yescharacteristic
114#15689448C2211yescharacteristic, complemented
115#15689447C2211yescharacteristic
116#15689447C2211yescharacteristic, complemented
117#15689445C2211yescharacteristic
118#15689445C2211yescharacteristic
119#15689444C2211yescharacteristic
120#15689443C2211yescharacteristic
121#15689443C2211yescharacteristic, complemented
122#15689442C2211yescharacteristic, complemented
123#15689441C2211yescharacteristic
124#15689440C2211yescharacteristic
125#15689439C2211yescharacteristic
126#15689438C2211yescharacteristic
127#15689438C2211yescharacteristic, complemented
128#15689437C2211yescharacteristic
129#15689436C2211yescharacteristic, complemented
130#15689435C2211yescharacteristic
131#15689432C2211yescharacteristic, complemented
132#15689432C2211yescharacteristic, complemented
133#15689432C2211yescharacteristic, complemented
134#15689430C2211yescharacteristic, complemented
135#15689428C2211yescharacteristic, complemented
136#15689426C2211yescharacteristic
137#15689426C2211yescharacteristic
138#15689426C2211yescharacteristic
139#15689426C2211yescharacteristic, complemented
140#15689426C2211yescharacteristic, complemented
141#15689426C2211yescharacteristic, complemented
142#15689425C2211yescharacteristic
143#15689425C2211yescharacteristic
144#15689425C2211yescharacteristic
145#15689424C2211yescharacteristic
146#15689424C2211yescharacteristic, complemented
147#15689423C2211yescharacteristic
148#15689422C2211yescharacteristic
149#15689422C2211yescharacteristic, complemented
150#15689421C2211yescharacteristic
151#15689420C2211yescharacteristic
152#15689420C2211yescharacteristic, complemented
153#15689414C2211yescharacteristic
154#15689413C2211yescharacteristic
155#15689410C2211yescharacteristic, complemented
156#15689408C2211yescharacteristic, complemented
157#15689404C2211yescharacteristic, complemented
158#15689400C2211yescharacteristic
159#15689184C2211yescharacteristic, complemented
160#15689183C2211yescharacteristic, complemented
161#15689183C2211yescharacteristic, complemented
162#15689178C2211yescharacteristic, complemented
163#15689177C2211yescharacteristic, complemented
164#15689174C2211yescharacteristic, complemented
165#15689173C2211yescharacteristic, complemented
166#15689164C2211yescharacteristic
167#15689164C2211yescharacteristic
168#15689164C2211yescharacteristic
169#15689162C2211yescharacteristic
170#15689160C2211yescharacteristic
171#15689160C2211yescharacteristic
172#107×D47C2211yescharacteristic
173#106×D47C2211yescharacteristic
174#15689145C2211yescharacteristic
175C4⋊C8×D47C2211yescharacteristic
176#15689126C2211yescharacteristic
177#15689126C2211yescharacteristic
178#15689123C2211yescharacteristic
179#15689123C2211yescharacteristic
180#15689118C2211yescharacteristic
181#15689118C2211yescharacteristic
182#102×D47C2211yescharacteristic
183#102×D47C2211yescharacteristic
184#15689088C2211yescharacteristic
185#15689088C2211yescharacteristic
186#15689080C2211yescharacteristic
187#15689077C2211yescharacteristic
188C47×#544C2211yescharacteristic, complemented
189C47×#542C2211yescharacteristic
190C47×#501C2211yescharacteristic, complemented
191C47×#500C2211yescharacteristic, complemented
192C47×#489C2211yescharacteristic
193C47×#488C2211yescharacteristic
194C47×#485C2211yescharacteristic, complemented
195C47×#484C2211yescharacteristic, complemented
196C47×#482C2211yescharacteristic
197C47×#480C2211yescharacteristic
198C47×#479C2211yescharacteristic, complemented
199C47×#478C2211yescharacteristic
200C47×#477C2211yescharacteristic, complemented
201C47×#474C2211yescharacteristic
202C47×#433C2211yescharacteristic, complemented
203C2×#10625354—21no—
204C2×#10625354C2311yescharacteristic
205C2×#10625350C2311yescharacteristic
206C2×#10625352—21no—
207C2×D4×D47C2311yescharacteristic
208C22×C4×D47—21no—
209C2×#10625324C2311yescharacteristic
210C2×#10625324C2311yescharacteristic
211C2×C8×D47C2311yescharacteristic
212C2×C8×D47C2311yescharacteristic
213#13094024C2311yescharacteristic
214#13094024C2311yescharacteristic
215#13094023—21no—
216#13094023—21no—
217#13094023—21no—
218#13094023C2311yescharacteristic
219#13094023C2311yescharacteristic
220#13094023C2311yescharacteristic
221#13094022—21no—
222#13094022—21no—
223#13094022—21no—
224#13094021C2311yescharacteristic
225#13094020—21no—
226#13094020C2311yescharacteristic
227#13094019—21no—
228#13094018—21no—
229#13094017—21no—
230#13094016C2311yescharacteristic
231#13094016C2311yescharacteristic
232#13094016C2311yescharacteristic
233#13094015—21no—
234#13094015—21no—
235#13094015—21no—
236#13094015C2311yescharacteristic
237#13094015C2311yescharacteristic
238#13094015C2311yescharacteristic
239#13094015C2311yescharacteristic
240#13094015C2311yescharacteristic
241#13094015C2311yescharacteristic
242#13094015C2311yescharacteristic
243#13094014—21no—
244#13094014—21no—
245#13094014—21no—
246#13094014—21no—
247#13094014—21no—
248#13094014—21no—
249#13094014—21no—
250#13094014—21no—
251#13094014—21no—
252#13094013—21no—
253#13094013C2311yescharacteristic
254#13094012—21no—
255#13094010—21no—
256#13094010—21no—
257#13094009—21no—
258#13094009—21no—
259#13094009—21no—
260#13094008—21no—
261#13094007—21no—
262#13094006—21no—
263#13094006—21no—
264#13094004—21no—
265#13094004—21no—
266#13094004—21no—
267#13094004—21no—
268#13094002—21no—
269#13094002—21no—
270#13094002—21no—
271#13094002—21no—
272#13094002—21no—
273#13094002—21no—
274#13094002—21no—
275#13094001—21no—
276#13094001—21no—
277#13094001—21no—
278#13094001—21no—
279#13094000—21no—
280#13094000—21no—
281#13094000—21no—
282#13094000—21no—
283#13094000—21no—
284#13094000C2311yescharacteristic
285#13093999—21no—
286#13093999—21no—
287#13093999C2311yescharacteristic
288#13093999C2311yescharacteristic
289#13093998—21no—
290#13093998C2311yescharacteristic
291#13093998C2311yescharacteristic
292#13093997—21no—
293#13093997—21no—
294#13093997—21no—
295#13093997—21no—
296#13093997—21no—
297#13093997—21no—
298#13093997—21no—
299#13093996—21no—
300#13093995C2311yescharacteristic
301#13093994—21no—
302#13093994—21no—
303#13093994—21no—
304#13093992—21no—
305Q8×Dic47—21no—
306Q8×Dic47—21no—
307Q8×Dic47C2311yescharacteristic
308C4×Dic94—21no—
309C4×Dic94—21no—
310C4×Dic94—21no—
311#13093989—21no—
312#13093989—21no—
313#13093989—21no—
314#13093989D411yescharacteristic
315#13093989D411yescharacteristic
316C4×D188—21no—
317C4×D188—21no—
318C4×D188C2311yescharacteristic
319C4×D188C2311yescharacteristic
320D4×Dic47C2311yescharacteristic
321#13093986—21no—
322#13093986—21no—
323#13093986—21no—
324#13093986D411yescharacteristic
325#13093986D411yescharacteristic
326#13093986C2311yescharacteristic
327#13093986C2311yescharacteristic
328C4×C22⋊D47—21no—
329C4×C22⋊D47—21no—
330C4×C22⋊D47—21no—
331(C22⋊D47)⋊C4—21no—
332(C22⋊D47)⋊C4—21no—
333(C22⋊D47)⋊C4—21no—
334(C22⋊D47)⋊C4—21no—
335(C22⋊D47)⋊C4—21no—
336(C22⋊D47)⋊C4—21no—
337(C22⋊D47)⋊C4D411yescharacteristic
338(C22⋊D47)⋊C4D411yescharacteristic
339(C22⋊D47)⋊C4D411yescharacteristic
340(C22⋊D47)⋊C4D411yescharacteristic
341#13093983C2311yescharacteristic
342#13093982—21no—
343#13093982—21no—
344#13093982C2311yescharacteristic
345#13093982C2311yescharacteristic
346#13093982C2311yescharacteristic
347#13093982C2311yescharacteristic
348#13093982C2311yescharacteristic
349#13093981C2311yescharacteristic
350#13093981C2311yescharacteristic
351#13093980—21no—
352C2×C4⋊Dic47—21no—
353C2×C4⋊Dic47C2311yescharacteristic
354C2×Dic47⋊C4—21no—
355C4⋊C4×D47—21no—
356C4⋊C4×D47—21no—
357C4⋊C4×D47—21no—
358C4⋊C4×D47—21no—
359C4⋊C4×D47C2311yescharacteristic
360C4⋊C4×D47C2311yescharacteristic
361C4⋊C4×D47C2311yescharacteristic
362C4⋊C4×D47C2311yescharacteristic
363C4⋊C4×D47C2311yescharacteristic
364C22⋊C4×D47—21no—
365C2×C4×Dic47C2311yescharacteristic
366C42×D47—21no—
367C42×D47C2311yescharacteristic
368C42×D47C2311yescharacteristic
369#13093958C2311yescharacteristic
370#13093958C2311yescharacteristic
371#13093958C2311yescharacteristic
372#13093958C2311yescharacteristic
373#13093957C2311yescharacteristic
374#13093957C2311yescharacteristic
375#13093957C2311yescharacteristic
376#13093957C2311yescharacteristic
377#13093957C2311yescharacteristic
378#13093957C2311yescharacteristic
379#13093956C2311yescharacteristic
380#13093956C2311yescharacteristic
381#13093956C2311yescharacteristic
382#13093956C2311yescharacteristic
383#13093955C2311yescharacteristic
384#13093955C2311yescharacteristic
385#13093955C2311yescharacteristic
386#13093955C2311yescharacteristic
387#13093955C2311yescharacteristic
388#13093955C2311yescharacteristic
389#13093955C2311yescharacteristic
390#13093955C2311yescharacteristic
391#13093955C2311yescharacteristic
392#13093955C2311yescharacteristic
393C4⋊(C47⋊C8)C2311yescharacteristic
394C4⋊(C47⋊C8)C2311yescharacteristic
395Dic47⋊C8C2311yescharacteristic
396Dic47⋊C8C2311yescharacteristic
397Dic47⋊C8C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399#13093948C2311yescharacteristic
400#13093948C2311yescharacteristic
401#13093948C2311yescharacteristic
402#13093948C2311yescharacteristic
403#13093946C2311yescharacteristic
404#13093946C2311yescharacteristic
405#13093946C2311yescharacteristic
406#13093946C2311yescharacteristic
407#13093946C2311yescharacteristic
408#13093946C2311yescharacteristic
409#13093946C2311yescharacteristic
410#13093946C2311yescharacteristic
411#13093945C2311yescharacteristic
412#13093945C2311yescharacteristic
413#13093945C2311yescharacteristic
414#13093945C2311yescharacteristic
415#13093944C2311yescharacteristic
416#13093944C2311yescharacteristic
417#13093944C2311yescharacteristic
418#13093944C2311yescharacteristic
419#13093944C2311yescharacteristic
420#13093944C2311yescharacteristic
421#13093944C2311yescharacteristic
422#13093944C2311yescharacteristic
423C22⋊(C47⋊C8)C2311yescharacteristic
424C22⋊(C47⋊C8)C2311yescharacteristic
425(C2×D47)⋊C8C2311yescharacteristic
426(C2×D47)⋊C8C2311yescharacteristic
427(C2×D47)⋊C8C2311yescharacteristic
428(C2×D47)⋊C8C2311yescharacteristic
429#13093935C2311yescharacteristic
430#13093934C2311yescharacteristic
431#13093934C2311yescharacteristic
432C4×C47⋊C8C2311yescharacteristic
433C8×Dic47C2311yescharacteristic
434C8×Dic47C2311yescharacteristic
435C4⋊Q8×C47—21no—
436C4⋊Q8×C47C2311yescharacteristic
437C4⋊Q8×C47C2311yescharacteristic
438C4⋊Q8×C47C2311yescharacteristic
439#126×C47—21no—
440#125×C47—21no—
441#125×C47C2311yescharacteristic
442#125×C47C2311yescharacteristic
443#124×C47—21no—
444#124×C47C2311yescharacteristic
445#123×C47—21no—
446C22⋊Q8×C47—21no—
447C22⋊Q8×C47—21no—
448C22⋊Q8×C47—21no—
449C22⋊Q8×C47C2311yescharacteristic
450#121×C47C2311yescharacteristic
451C4×Q8×C47C2311yescharacteristic
452C4×D4×C47C2311yescharacteristic
453#117×C47C2311yescharacteristic
454#117×C47C2311yescharacteristic
455C2×C4⋊C4×C47C2311yescharacteristic
456#107×C47C2311yescharacteristic
457#107×C47C2311yescharacteristic
458#107×C47C2311yescharacteristic
459#107×C47C2311yescharacteristic
460#107×C47C2311yescharacteristic
461#107×C47C2311yescharacteristic
462#106×C47C2311yescharacteristic
463#106×C47C2311yescharacteristic
464C4⋊C8×C47C2311yescharacteristic
465C4⋊C8×C47C2311yescharacteristic
466#103×C47C2311yescharacteristic
467#103×C47C2311yescharacteristic
468#103×C47C2311yescharacteristic
469#103×C47C2311yescharacteristic
470#102×C47C2311yescharacteristic
471#102×C47C2311yescharacteristic
472#102×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474C22⋊C8×C47C2311yescharacteristic
475C22⋊C8×C47C2311yescharacteristic
476#97×C47C2311yescharacteristic
477C4×C8×C47C2311yescharacteristic
478C23×D47—21no—
479C2×Q8×C47—21no—
480C2×Q8×C47—21no—
481C2×Q8×C47—21no—
482C2×Q8×C47C2411yescharacteristic
483C2×D4×C47—21no—
484C2×D4×C47C2411yescharacteristic
485C22×C4×C47—21no—
486C22×C4×C47—21no—
487C22×C4×C47C2411yescharacteristic
488C2×C22⋊D47—21no—
489C2×C22⋊D47—21no—
490C2×C22⋊D47—21no—
491C2×C22⋊D47—21no—
492C2×C22⋊D47—21no—
493C2×C22⋊D47—21no—
494C2×C22⋊D47C2×D411yescharacteristic
495C2×C22⋊D47C2×D411yescharacteristic
496C22×Dic47—21no—
497C22×Dic47—21no—
498C22×Dic47C2×D411yescharacteristic
499C22×Dic47C2×D411yescharacteristic
500#10625354—22no—
501#10625354—22no—
502#10625354—82no—
503#10625352—82no—
504D4×D47—22no—
505D4×D47—22no—
506#10625350—22no—
507#10625350—22no—
508C2×D188—21no—
509C2×D188—21no—
510C2×D188—21no—
511C2×D188—21no—
512C2×D188—21no—
513C2×D188C2×D411yescharacteristic
514C2×D188C2411yescharacteristic
515C2×D188C2411yescharacteristic
516C2×C4×D47—21no—
517C2×C4×D47—21no—
518C2×C4×D47—21no—
519C2×C4×D47—21no—
520C2×C4×D47—21no—
521C2×C4×D47—21no—
522C2×C4×D47—21no—
523C2×C4×D47—21no—
524C2×C4×D47—21no—
525C2×C4×D47—21no—
526C2×C4×D47—82no—
527C2×C4×D47C2×D411yescharacteristic
528C2×C4×D47C2×D411yescharacteristic
529C2×C4×D47C2×D411yescharacteristic
530C2×C4×D47C2×D411yescharacteristic
531C2×C4×D47C2411yescharacteristic
532C2×C4×D47C2411yescharacteristic
533C2×Dic94—21no—
534C2×Dic94—21no—
535C2×Dic94—21no—
536C2×Dic94—21no—
537C2×Dic94—21no—
538C2×Dic94C2×D411yescharacteristic
539C2×C8×C47C2411yescharacteristic
540C2×C8×C47C2411yescharacteristic
541C2×C8×C47C2411yescharacteristic
542C2×C8×C47C2411yescharacteristic
543C4⋊C4×C47—21no—
544C4⋊C4×C47—21no—
545C4⋊C4×C47—21no—
546C4⋊C4×C47—21no—
547C4⋊C4×C47—21no—
548C4⋊C4×C47—21no—
549C4⋊C4×C47—21no—
550C4⋊C4×C47—21no—
551C4⋊C4×C47—21no—
552C4⋊C4×C47—21no—
553C4⋊C4×C47C2×D411yescharacteristic
554C4⋊C4×C47C2×D411yescharacteristic
555C4⋊C4×C47C2411yescharacteristic
556C4⋊C4×C47C2411yescharacteristic
557C4⋊C4×C47C2411yescharacteristic
558C4⋊C4×C47C2411yescharacteristic
559C4⋊C4×C47C2411yescharacteristic
560C4⋊C4×C47C2411yescharacteristic
561C22⋊C4×C47—21no—
562C22⋊C4×C47—21no—
563C22⋊C4×C47—21no—
564C22⋊C4×C47—21no—
565C22⋊C4×C47—21no—
566C22⋊C4×C47—21no—
567C22⋊C4×C47C2×D411yescharacteristic
568C22⋊C4×C47C2×D411yescharacteristic
569C42×C47—21no—
570C42×C47—21no—
571C42×C47C2411yescharacteristic
572C42×C47C2411yescharacteristic
573C22⋊Dic47—21no—
574C22⋊Dic47—21no—
575C22⋊Dic47—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)⋊C4—21no—
584(C2×D47)⋊C4—21no—
585(C2×D47)⋊C4—21no—
586(C2×D47)⋊C4—21no—
587(C2×D47)⋊C4—21no—
588(C2×D47)⋊C4—21no—
589(C2×D47)⋊C4—21no—
590(C2×D47)⋊C4—21no—
591(C2×D47)⋊C4—21no—
592(C2×D47)⋊C4C2×D411yescharacteristic
593(C2×D47)⋊C4C2×D411yescharacteristic
594(C2×D47)⋊C4C2×D411yescharacteristic
595(C2×D47)⋊C4C2×D411yescharacteristic
596C4⋊Dic47—21no—
597C4⋊Dic47—21no—
598C4⋊Dic47—21no—
599C4⋊Dic47—21no—
600C4⋊Dic47—21no—
601C4⋊Dic47—21no—
602C4⋊Dic47—21no—
603C4⋊Dic47—21no—
604C4⋊Dic47—21no—
605C4⋊Dic47—21no—
606C4⋊Dic47—21no—
607C4⋊Dic47C2411yescharacteristic
608C4⋊Dic47C2411yescharacteristic
609C4⋊Dic47C2411yescharacteristic
610C4⋊Dic47C2411yescharacteristic
611C4⋊Dic47C2411yescharacteristic
612C4⋊Dic47C2411yescharacteristic
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⋊C4—21no—
634Dic47⋊C4—21no—
635Dic47⋊C4C2×D411yescharacteristic
636Dic47⋊C4C2×D411yescharacteristic
637Dic47⋊C4C2×D411yescharacteristic
638Dic47⋊C4C2×D411yescharacteristic
639C4×Dic47—21no—
640C4×Dic47—21no—
641C4×Dic47—21no—
642C4×Dic47—21no—
643C4×Dic47—21no—
644C4×Dic47—21no—
645C4×Dic47—21no—
646C4×Dic47C2×D411yescharacteristic
647C4×Dic47C2×D411yescharacteristic
648C4×Dic47C2×D411yescharacteristic
649C4×Dic47C2×D411yescharacteristic
650C4×Dic47C2×D411yescharacteristic
651C4×Dic47C2×D411yescharacteristic
652C4×Dic47C2411yescharacteristic
653C4×Dic47C2411yescharacteristic
654C2×C47⋊C8C2411yescharacteristic
655C2×C47⋊C8C2411yescharacteristic
656C2×C47⋊C8C2411yescharacteristic
657C2×C47⋊C8C2411yescharacteristic
658#10625324—22no—
659#10625324—22no—
660C8×D47—22no—
661C8×D47—22no—
662C23×C47—21no—
663C23×C47C22×D411yescharacteristic
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—42no—
667C22×D47—81no—
668C22×D47—81no—
669C22×D47C22×D411yescharacteristic
670C22×D47C22×D411yescharacteristic
671Q8×C47—21no—
672Q8×C47—21no—
673Q8×C47—81no—
674Q8×C47—81no—
675Q8×C47—81no—
676D4×C47—21no—
677D4×C47—21no—
678D4×C47—81no—
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—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—81no—
689C2×C4×C47—81no—
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—22no—
697C22⋊D47—22no—
698C22⋊D47—42no—
699C22⋊D47—81no—
700C22⋊D47—81no—
701C22⋊D47—81no—
702C22⋊D47—81no—
703C22⋊D47—81no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—41no—
711C2×Dic47—41no—
712C2×Dic47—42no—
713C2×Dic47—81no—
714C2×Dic47C22×D411yescharacteristic
715C2×Dic47C22×D411yescharacteristic
716C2×Dic47C22×D411yescharacteristic
717C2×Dic47C22×D411yescharacteristic
718C2×Dic47C22×D411yescharacteristic
719C2×Dic47C22×D411yescharacteristic
720D188—22no—
721D188—21no—
722D188—21no—
723D188—21no—
724D188—21no—
725D188—42no—
726D188—81no—
727D188—81no—
728D188—81no—
729D188—81no—
730C4×D47—21no—
731C4×D47—21no—
732C4×D47—41no—
733C4×D47—41no—
734C4×D47—41no—
735C4×D47—41no—
736C4×D47—42no—
737C4×D47—42no—
738C4×D47—42no—
739C4×D47—81no—
740C4×D47—81no—
741C4×D47—81no—
742C4×D47—81no—
743C4×D47—81no—
744C4×D47—81no—
745C4×D47—81no—
746C4×D472−1+412yes—
747C4×D472−1+412yes—
748Dic94—22no—
749Dic94—81no—
750Dic94—81no—
751Dic94—81no—
752Dic94—81no—
753Dic94—81no—
754C8×C47—21no—
755C8×C47—21no—
756C8×C47—21no—
757C8×C47—21no—
758C47⋊C8—21no—
759C47⋊C8—21no—
760C47⋊C8—21no—
761C47⋊C8—21no—
762#60890—471nomaximal, Sylow
763C22×C47—21no—
764C22×C47—21no—
765C22×C47—21no—
766C22×C47—41no—
767C22×C47—41no—
768C22×C47—41no—
769C22×C47C23×D411yescharacteristic
770C2×D47—21no—
771C2×D47—21no—
772C2×D47—21no—
773C2×D47—21no—
774C2×D47—21no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C2×D47—41no—
780C2×D47—41no—
781C2×D47—84no—
782C2×D47#53612yes—
783C4×C47—21no—
784C4×C47—21no—
785C4×C47—21no—
786C4×C47—21no—
787C4×C47—21no—
788C4×C47—41no—
789C4×C47—41no—
790C4×C47—41no—
791C4×C47—41no—
792C4×C47—41no—
793C4×C47—41no—
794C4×C47—41no—
795C4×C47C2×2−1+411yescharacteristic
796C4×C47C2×2−1+411yescharacteristic
797Dic47—21no—
798Dic47—21no—
799Dic47—21no—
800Dic47—21no—
801Dic47—21no—
802Dic47—41no—
803Dic47—41no—
804Dic47—41no—
805Dic47—41no—
806Dic47—41no—
807Dic47—41no—
808Dic47#53612yes—
809#3504—471no—
810#3460—471no—
811#3244—471no—
812#3244—471no—
813#3243—471no—
814#3243D4711yescharacteristic, complemented
815#3241—471no—
816#3241—471no—
817#3241—471no—
818#3241—471no—
819#3240—471no—
820#3240—471no—
821#3234—471no—
822#3234—471no—
823#3232—471no—
824#3232—471no—
825#3228—471no—
826#3228—471no—
827#3164—471no—
828#3163—471no—
829#3136—471no—
830#3136—471no—
831#3099—471no—
832#3098—471no—
833#3096—471no—
834#3096—471no—
835#3080—471no—
836#3077—471no—
837#3076—471no—
838C2×#478—471no—
839#2925—471no—
840C2×C47—41no—
841C2×C47—81no—
842C2×C47C2×#53611yescharacteristic
843C2×C47#358411yescharacteristic
844C2×C47#358511yescharacteristic
845D47—22no—
846D47—41no—
847D47—81no—
848D47—81no—
849#557—941no—
850#557—941no—
851#554—941no—
852#554—941no—
853#554—941no—
854#554—941no—
855#554—941no—
856#554—941no—
857#544—471no—
858#544—471no—
859#544—471no—
860#544—471no—
861#544—471no—
862#544—471no—
863#544C2×D4711yescharacteristic, complemented
864#542—471no—
865#542—941no—
866#542C2×D4711yescharacteristic
867#540—471no—
868#540—471no—
869#540—941no—
870#538—941no—
871#538—941no—
872#537—471no—
873#535—471no—
874#535—471no—
875#533—471no—
876#533—471no—
877#533—471no—
878#532—471no—
879#532—471no—
880#532—941no—
881#529—471no—
882#529—471no—
883#529—941no—
884C2×#125—471no—
885C2×#125—471no—
886C2×#125—471no—
887#525—941no—
888#525—941no—
889#520—471no—
890#520—471no—
891C4×#41—471no—
892C4×#41—471no—
893C2×C4×D4—471no—
894#501—471no—
895#501—471no—
896#501—471no—
897#501—471no—
898#501—471no—
899#501—471no—
900#501—471no—
901#501C2×D4711yescharacteristic, complemented
902#500—471no—
903#500C2×D4711yescharacteristic, complemented
904#499—471no—
905#499—471no—
906#499—471no—
907#499—471no—
908#498—471no—
909#498—471no—
910#490—471no—
911#490—471no—
912#490—471no—
913#490—471no—
914#489—471no—
915#489—471no—
916#489—471no—
917#489C2×D4711yescharacteristic
918#488—471no—
919#488—471no—
920#488—471no—
921#488C2×D4711yescharacteristic
922#486—471no—
923#486—471no—
924#486—471no—
925#486—471no—
926#485—471no—
927#485—471no—
928#485—471no—
929#485C2×D4711yescharacteristic, complemented
930#484—471no—
931#484C2×D4711yescharacteristic, complemented
932#483—471no—
933#483—471no—
934#482—471no—
935#482—471no—
936#482—471no—
937#482—471no—
938#482—471no—
939#482—471no—
940#482—471no—
941#482—471no—
942#482—471no—
943#482—471no—
944#482—471no—
945#482C2×D4711yescharacteristic
946#481—471no—
947#481—471no—
948#481—471no—
949#481—471no—
950#481—471no—
951#481—471no—
952#480—471no—
953#480—471no—
954#480—471no—
955#480—471no—
956#480—471no—
957#480C2×D4711yescharacteristic
958#479—471no—
959#479—471no—
960#479—471no—
961#479—471no—
962#479—471no—
963#479C2×D4711yescharacteristic, complemented
964#478—471no—
965#478—471no—
966#478—471no—
967#478—471no—
968#478—471no—
969#478—471no—
970#478—471no—
971#478—471no—
972#478—471no—
973#478—471no—
974#478—471no—
975#478—471no—
976#478—471no—
977#478—471no—
978#478—471no—
979#478—471no—
980#478—471no—
981#478C2×D4711yescharacteristic
982#477C2×D4711yescharacteristic, complemented
983#476—471no—
984#476—471no—
985#476—471no—
986#475—471no—
987#474—471no—
988#474—471no—
989#474C2×D4711yescharacteristic
990#433—471no—
991#433—471no—
992#433—471no—
993#433C2×D4711yescharacteristic, complemented
994#432—471no—
995#432—471no—
996#431—471no—
997#431—471no—
998#428—471no—
999#428—471no—
1000#428—471no—
1001#428—471no—
1002#427—471no—
1003#427—471no—
1004C2×#107—471no—
1005C2×#106—471no—
1006#423—471no—
1007C2×C4⋊C8—471no—
1008#418—471no—
1009#418—471no—
1010#417—471no—
1011#417—471no—
1012#416—471no—
1013#416—471no—
1014C2×#102—471no—
1015C2×#102—471no—
1016#408—471no—
1017#408—471no—
1018#405—471no—
1019#405—471no—
1020C47#6089011yescharacteristic, complemented, Sylow
1021C2×#41—471no—
1022C2×#41—471no—
1023C2×#41—941no—
1024C2×#41—941no—
1025C22×D4—471no—
1026C23×C4—941no—
1027C2×M16—471no—
1028C2×M16—471no—
1029C22×C8—471no—
1030C22×C8—471no—
1031C4⋊Q8—21no—
1032C4⋊Q8—471no—
1033C4⋊Q8—471no—
1034C4⋊Q8—471no—
1035C4⋊Q8—471no—
1036C4⋊Q8—471no—
1037C4⋊Q8—941no—
1038C4⋊Q8—941no—
1039C4⋊Q8—941no—
1040C4⋊Q8—941no—
1041C4⋊Q8—941no—
1042C4⋊Q8—941no—
1043C4⋊Q8C22×D4711yescharacteristic
1044C4⋊Q8C22×D4711yescharacteristic
1045C4⋊Q8C22×D4711yescharacteristic
1046#127—471no—
1047#127—471no—
1048#127—941no—
1049#126—21no—
1050#126—941no—
1051#126—941no—
1052#126—941no—
1053#125—21no—
1054#125—471no—
1055#125—471no—
1056#125—471no—
1057#125—471no—
1058#125—471no—
1059#125—471no—
1060#125—471no—
1061#125—471no—
1062#125—471no—
1063#125—471no—
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#125—941no—
1074#125—941no—
1075#125—941no—
1076#125C22×D4711yescharacteristic
1077#125C22×D4711yescharacteristic
1078#124—21no—
1079#124—471no—
1080#124—941no—
1081#124—941no—
1082#124—941no—
1083#124—941no—
1084#124C22×D4711yescharacteristic
1085#123—21no—
1086#123—941no—
1087#123—941no—
1088#123—941no—
1089#123—941no—
1090#123—941no—
1091#123—941no—
1092#123—941no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—21no—
1096C22⋊Q8—471no—
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⋊Q8C22×D4711yescharacteristic
1118#121—471no—
1119#121—471no—
1120#121—471no—
1121#121—471no—
1122#121—471no—
1123#121—941no—
1124#121—941no—
1125#121—941no—
1126#121—941no—
1127#121—941no—
1128#121—941no—
1129#121—941no—
1130#121—941no—
1131#121—941no—
1132#121—941no—
1133#121—941no—
1134#121C22×D4711yescharacteristic
1135#120—941no—
1136#120—941no—
1137#120—941no—
1138#120—941no—
1139C4×Q8—471no—
1140C4×Q8—471no—
1141C4×Q8—471no—
1142C4×Q8—941no—
1143C4×Q8—941no—
1144C4×Q8—941no—
1145C4×Q8—941no—
1146C4×Q8—941no—
1147C4×Q8—941no—
1148C4×Q8—941no—
1149C4×Q8—941no—
1150C4×Q8C22×D4711yescharacteristic
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—471no—
1162C4×D4—941no—
1163C4×D4—941no—
1164C4×D4—941no—
1165C4×D4—941no—
1166C4×D4—941no—
1167C4×D4—941no—
1168C4×D4—941no—
1169C4×D4—941no—
1170C4×D4—941no—
1171C4×D4—941no—
1172C4×D4—941no—
1173C4×D4—941no—
1174C4×D4—941no—
1175C4×D4—941no—
1176C4×D4C22×D4711yescharacteristic
1177#117—471no—
1178#117—471no—
1179#117—471no—
1180#117—471no—
1181#117—471no—
1182#117—471no—
1183#117—471no—
1184#117—471no—
1185#117—941no—
1186#117—941no—
1187#117—941no—
1188#117C22×D4711yescharacteristic
1189#117C22×D4711yescharacteristic
1190C2×C4⋊C4—471no—
1191C2×C4⋊C4—471no—
1192C2×C4⋊C4—471no—
1193C2×C4⋊C4—471no—
1194C2×C4⋊C4—471no—
1195C2×C4⋊C4—471no—
1196C2×C4⋊C4—941no—
1197C2×C4⋊C4—941no—
1198C2×C4⋊C4—941no—
1199C2×C4⋊C4—941no—
1200C2×C4⋊C4—941no—
1201C2×C4⋊C4—941no—
1202C2×C4⋊C4C22×D4711yescharacteristic
1203C2×C22⋊C4—941no—
1204C2×C42—471no—
1205C2×C42—471no—
1206C2×C42—471no—
1207C2×C42—941no—
1208#107—471no—
1209#107—471no—
1210#107—471no—
1211#107—471no—
1212#107—471no—
1213#107—471no—
1214#107—471no—
1215#107—471no—
1216#107—471no—
1217#107—471no—
1218#107C22×D4711yescharacteristic
1219#107C22×D4711yescharacteristic
1220#107C22×D4711yescharacteristic
1221#107C22×D4711yescharacteristic
1222#107C22×D4711yescharacteristic
1223#107C22×D4711yescharacteristic
1224#106—471no—
1225#106—471no—
1226#106—471no—
1227#106—471no—
1228#106—471no—
1229#106—471no—
1230#106—471no—
1231#106—471no—
1232#106—471no—
1233#106—471no—
1234#106—471no—
1235#106—471no—
1236#106—471no—
1237#106—471no—
1238#106C22×D4711yescharacteristic
1239#106C22×D4711yescharacteristic
1240C4⋊C8—471no—
1241C4⋊C8—471no—
1242C4⋊C8—471no—
1243C4⋊C8—471no—
1244C4⋊C8—471no—
1245C4⋊C8—471no—
1246C4⋊C8C22×D4711yescharacteristic
1247C4⋊C8C22×D4711yescharacteristic
1248#103—471no—
1249#103—471no—
1250#103—471no—
1251#103—471no—
1252#103C22×D4711yescharacteristic
1253#103C22×D4711yescharacteristic
1254#103C22×D4711yescharacteristic
1255#103C22×D4711yescharacteristic
1256#102—471no—
1257#102—471no—
1258#102—471no—
1259#102—471no—
1260#102—471no—
1261#102—471no—
1262#102—471no—
1263#102—471no—
1264#102—471no—
1265#102—471no—
1266#102—471no—
1267#102—471no—
1268#102—471no—
1269#102—471no—
1270#102—471no—
1271#102—471no—
1272#102—471no—
1273#102—471no—
1274#102—471no—
1275#102—471no—
1276#102C22×D4711yescharacteristic
1277#102C22×D4711yescharacteristic
1278#102C22×D4711yescharacteristic
1279#102C22×D4711yescharacteristic
1280C22⋊C8—471no—
1281C22⋊C8—471no—
1282C22⋊C8—471no—
1283C22⋊C8—471no—
1284C22⋊C8—471no—
1285C22⋊C8—471no—
1286C22⋊C8C22×D4711yescharacteristic
1287C22⋊C8C22×D4711yescharacteristic
1288#97—471no—
1289#97—471no—
1290#97—471no—
1291#97C22×D4711yescharacteristic
1292C4×C8—471no—
1293C4×C8—471no—
1294C4×C8—471no—
1295C4×C8C22×D4711yescharacteristic
1296C24—941no—
1297#41—942no—
1298#41—942no—
1299#41—942no—
1300#41—942no—
1301#41—3762no—
1302#41—3762no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—21no—
1306C2×Q8—471no—
1307C2×Q8—941no—
1308C2×Q8—941no—
1309C2×Q8—941no—
1310C2×Q8—941no—
1311C2×Q8—941no—
1312C2×Q8C23×D4711yescharacteristic
1313C2×D4—21no—
1314C2×D4—471no—
1315C2×D4—471no—
1316C2×D4—471no—
1317C2×D4—471no—
1318C2×D4—471no—
1319C2×D4—941no—
1320C2×D4—941no—
1321C2×D4—941no—
1322C2×D4—942no—
1323C2×D4—942no—
1324C2×D4—941no—
1325C2×D4—941no—
1326C2×D4—941no—
1327C2×D4—941no—
1328C2×D4—941no—
1329C2×D4—941no—
1330C2×D4—941no—
1331C2×D4—941no—
1332C2×D4C23×D4711yescharacteristic
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—471no—
1336C22×C4—471no—
1337C22×C4—471no—
1338C22×C4—471no—
1339C22×C4—471no—
1340C22×C4—471no—
1341C22×C4—471no—
1342C22×C4—471no—
1343C22×C4—941no—
1344C22×C4—941no—
1345C22×C4—941no—
1346C22×C4—941no—
1347C22×C4—941no—
1348C22×C4—941no—
1349C22×C4—941no—
1350C22×C4—941no—
1351C22×C4—941no—
1352C22×C4—941no—
1353C22×C4—941no—
1354C22×C4—941no—
1355C22×C4—3762no—
1356C22×C4C23×D4711yescharacteristic
1357M16—942no—
1358M16—942no—
1359C2×C8—471no—
1360C2×C8—471no—
1361C2×C8—471no—
1362C2×C8—471no—
1363C2×C8—942no—
1364C2×C8—942no—
1365C2×C8C23×D4711yescharacteristic
1366C2×C8C23×D4711yescharacteristic
1367C2×C8C23×D4711yescharacteristic
1368C2×C8C23×D4711yescharacteristic
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—21no—
1379C4⋊C4—471no—
1380C4⋊C4—471no—
1381C4⋊C4—471no—
1382C4⋊C4—471no—
1383C4⋊C4—471no—
1384C4⋊C4—471no—
1385C4⋊C4—471no—
1386C4⋊C4—471no—
1387C4⋊C4—471no—
1388C4⋊C4—471no—
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⋊C4—941no—
1407C4⋊C4—941no—
1408C4⋊C4—941no—
1409C4⋊C4—941no—
1410C4⋊C4—941no—
1411C4⋊C4—941no—
1412C4⋊C4—941no—
1413C4⋊C4—941no—
1414C4⋊C4—941no—
1415C4⋊C4—941no—
1416C4⋊C4—941no—
1417C4⋊C4—941no—
1418C4⋊C4—941no—
1419C4⋊C4—941no—
1420C4⋊C4—941no—
1421C4⋊C4—941no—
1422C4⋊C4D4×D4711yescharacteristic
1423C4⋊C4D4×D4711yescharacteristic
1424C4⋊C4C23×D4711yescharacteristic
1425C4⋊C4C23×D4711yescharacteristic
1426C4⋊C4C23×D4711yescharacteristic
1427C4⋊C4C23×D4711yescharacteristic
1428C4⋊C4C23×D4711yescharacteristic
1429C4⋊C4C23×D4711yescharacteristic
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—471no—
1437C22⋊C4—471no—
1438C22⋊C4—471no—
1439C22⋊C4—471no—
1440C22⋊C4—941no—
1441C22⋊C4—941no—
1442C22⋊C4—941no—
1443C22⋊C4—941no—
1444C22⋊C4—941no—
1445C22⋊C4—941no—
1446C22⋊C4—941no—
1447C22⋊C4—941no—
1448C22⋊C4—941no—
1449C22⋊C4—941no—
1450C22⋊C4—941no—
1451C22⋊C4—941no—
1452C22⋊C4—941no—
1453C22⋊C4—941no—
1454C22⋊C4—941no—
1455C22⋊C4—941no—
1456C22⋊C4—941no—
1457C22⋊C4—941no—
1458C22⋊C4—941no—
1459C22⋊C4D4×D4711yescharacteristic
1460C22⋊C4D4×D4711yescharacteristic
1461C42—21no—
1462C42—21no—
1463C42—471no—
1464C42—471no—
1465C42—471no—
1466C42—471no—
1467C42—471no—
1468C42—471no—
1469C42—471no—
1470C42—471no—
1471C42—941no—
1472C42—941no—
1473C42—941no—
1474C42—941no—
1475C42—941no—
1476C42—941no—
1477C42—941no—
1478C42C23×D4711yescharacteristic
1479C42C23×D4711yescharacteristic
1480C23—21no—
1481C23—471no—
1482C23—471no—
1483C23—941no—
1484C23—941no—
1485C23—3761no—
1486C23—3761no—
1487C23—1882no—
1488C23C2×D4×D4711yescharacteristic
1489Q8—21no—
1490Q8—21no—
1491Q8—81no—
1492Q8—81no—
1493Q8—81no—
1494Q8—942no—
1495Q8—3761no—
1496Q8—3761no—
1497Q8—3761no—
1498Q8—3761no—
1499Q8—3761no—
1500D4—21no—
1501D4—21no—
1502D4—81no—
1503D4—942no—
1504D4—942no—
1505D4—942no—
1506D4—941no—
1507D4—941no—
1508D4—941no—
1509D4—941no—
1510D4—3761no—
1511D4—3761no—
1512D4—3761no—
1513D4—3761no—
1514D4—3761no—
1515D4—3761no—
1516D4—3761no—
1517D4—3761no—
1518D4—3761no—
1519D4—1882no—
1520D4—1882no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—81no—
1531C2×C4—81no—
1532C2×C4—471no—
1533C2×C4—472no—
1534C2×C4—472no—
1535C2×C4—471no—
1536C2×C4—471no—
1537C2×C4—471no—
1538C2×C4—471no—
1539C2×C4—471no—
1540C2×C4—941no—
1541C2×C4—941no—
1542C2×C4—941no—
1543C2×C4—941no—
1544C2×C4—941no—
1545C2×C4—941no—
1546C2×C4—941no—
1547C2×C4—941no—
1548C2×C4—3761no—
1549C2×C4—3761no—
1550C2×C4—3761no—
1551C2×C4—3761no—
1552C2×C4—3761no—
1553C2×C4—3761no—
1554C2×C4—3761no—
1555C2×C4—3761no—
1556C2×C4—1881no—
1557C2×C4—1881no—
1558C2×C4—1881no—
1559C2×C4—1881no—
1560C2×C4—1882no—
1561C2×C4—1882no—
1562C2×C4—1882no—
1563C2×C4—1881no—
1564C2×C4—1881no—
1565C2×C4—1882no—
1566C2×C4C2×D4×D4711yescharacteristic
1567C2×C4C2×D4×D4711yescharacteristic
1568C2×C4C2×D4×D4711yescharacteristic
1569C2×C4C2×D4×D4711yescharacteristic
1570C2×C4C2×D4×D4711yescharacteristic
1571C2×C4C24×D4711yescharacteristic
1572C8—21no—
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—941no—
1577C8—941no—
1578C8—941no—
1579C8—941no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—472no—
1587C22—941no—
1588C22—941no—
1589C22—941no—
1590C22—941no—
1591C22—941no—
1592C22—3764no—
1593C22—1881no—
1594C22—1881no—
1595C22—1881no—
1596C22—1881no—
1597C22—1881no—
1598C22—1881no—
1599C22C22×D4×D4711yescharacteristic
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—472no—
1613C4—941no—
1614C4—941no—
1615C4—941no—
1616C4—941no—
1617C4—941no—
1618C4—1881no—
1619C4—1881no—
1620C4—1881no—
1621C4—1881no—
1622C4—1881no—
1623C4—1881no—
1624C42−1+4×D4711yescharacteristic
1625C42−1+4×D4711yescharacteristic
1626C2—41no—
1627C2—81no—
1628C2—942no—
1629C2—3761no—
1630C2—3761no—
1631C2—1881no—
1632C2#536×D4711yescharacteristic
1633C2#2025815811yescharacteristic
1634C2#2025816311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3243C2
socleC22×C47C23×D4
prime radical#20256808C2
hypercenter#3243D47
hypocenterC47#60890
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #117 ◁ #3243

Complements

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

NH ≅ G/Ntype
1. #20257211C2semidirect
3. #20254693C2semidirect
4. #20254680C2semidirect
5. #20254676C2semidirect
6. #20254648C2semidirect
7. #20254643C2semidirect
8. #20254641C2semidirect
9. #20254638C2semidirect
10. #20254632C2semidirect
11. #20254623C2semidirect
12. #20254579C2semidirect
13. #20254575C2semidirect
14. #20254561C2semidirect
15. #20254551C2semidirect
16. #20254527C2semidirect
17. #20254522C2semidirect
18. #20253921C2semidirect
19. #20253915C2semidirect
20. #20253741C2semidirect
21. #20253739C2semidirect
22. #20253374C2semidirect
23. #20253367C2semidirect
24. #20253343C2semidirect
25. #20253339C2semidirect
26. #20253207C2semidirect
27. #20253180C2semidirect
28. #20253179C2semidirect
29. #478×D47C2semidirect
30. #20252051C2semidirect
31. C47×#3243C2semidirect
41. #15689753C22semidirect
42. #15689751C22semidirect
45. #15689750C22semidirect
57. #15689678C22semidirect
58. #15689676C22semidirect
65. C2×#13094015C22semidirect
67. #125×D47C22semidirect
75. #15689532C22semidirect
76. #15689531C22semidirect
77. #15689531C22semidirect
78. #15689531C22semidirect
79. #15689530C22semidirect
80. #15689529C22semidirect
81. #15689529C22semidirect
82. #15689527C22semidirect
83. #15689525C22semidirect
84. #15689524C22semidirect
85. #15689524C22semidirect
86. #15689522C22semidirect
87. #15689520C22semidirect
88. #15689519C22semidirect
103. #15689462C22semidirect
104. #15689462C22semidirect
105. #15689461C22semidirect
106. #15689457C22semidirect
107. #15689452C22semidirect
108. #15689451C22semidirect
111. #15689450C22semidirect
112. #15689450C22semidirect
114. #15689448C22semidirect
116. #15689447C22semidirect
121. #15689443C22semidirect
122. #15689442C22semidirect
127. #15689438C22semidirect
129. #15689436C22semidirect
131. #15689432C22semidirect
132. #15689432C22semidirect
133. #15689432C22semidirect
134. #15689430C22semidirect
135. #15689428C22semidirect
139. #15689426C22semidirect
140. #15689426C22semidirect
141. #15689426C22semidirect
146. #15689424C22semidirect
149. #15689422C22semidirect
152. #15689420C22semidirect
155. #15689410C22semidirect
156. #15689408C22semidirect
157. #15689404C22semidirect
159. #15689184C22semidirect
160. #15689183C22semidirect
161. #15689183C22semidirect
162. #15689178C22semidirect
163. #15689177C22semidirect
164. #15689174C22semidirect
165. #15689173C22semidirect
188. C47×#544C22semidirect
190. C47×#501C22semidirect
191. C47×#500C22semidirect
194. C47×#485C22semidirect
195. C47×#484C22semidirect
198. C47×#479C22semidirect
200. C47×#477C22semidirect
202. C47×#433C22semidirect
814. #3243D47semidirect
863. #544C2×D47semidirect
901. #501C2×D47semidirect
903. #500C2×D47semidirect
929. #485C2×D47semidirect
931. #484C2×D47semidirect
963. #479C2×D47semidirect
982. #477C2×D47semidirect
993. #433C2×D47semidirect
1020. C47#60890semidirect

Maximal subgroups

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

subgroupindex
#202572112
#202568082
#202546932
#202546802
#202546762
#202546482
#202546432
#202546412
#202546382
#202546322
#202546232
#202545792
#202545752
#202545612
#202545512
#202545272
#202545222
#202539212
#202539152
#202537412
#202537392
#202533742
#202533672
#202533432
#202533392
#202532072
#202531802
#202531792
#478×D472
#202520512
C47×#32432
#6089047