Finite Group Databasebeta

← #27106978

Subgroups — #27106978

Order 12032.

1674 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#20257874C211yesmaximal, characteristic, complemented
2#20257190C211yesmaximal, characteristic, complemented
3#20256340C211yesmaximal, characteristic, complemented
4#20256328C211yesmaximal, characteristic, complemented
5#20256295C211yesmaximal, characteristic, complemented
6#20256282C211yesmaximal, characteristic, complemented
7#20256268C211yesmaximal, characteristic, complemented
8#20256266C211yesmaximal, characteristic, complemented
9#20256250C211yesmaximal, characteristic, complemented
10#20256245C211yesmaximal, characteristic, complemented
11#20256218C211yesmaximal, characteristic, complemented
12#20256214C211yesmaximal, characteristic, complemented
13#20256172C211yesmaximal, characteristic, complemented
14#20256103C211yesmaximal, characteristic, complemented
15#20256036C211yesmaximal, characteristic, complemented
16#20256034C211yesmaximal, characteristic, complemented
17#20256034C211yesmaximal, characteristic, complemented
18#20256029C211yesmaximal, characteristic, complemented
19#20254682C211yesmaximal, characteristic, complemented
20#20254656C211yesmaximal, characteristic, complemented
21#20254652C211yesmaximal, characteristic, complemented
22#20254564C211yesmaximal, characteristic, complemented
23#20254545C211yesmaximal, characteristic, complemented
24#20253641C211yesmaximal, characteristic, complemented
25#20253636C211yesmaximal, characteristic, complemented
26#20253567C211yesmaximal, characteristic
27#20253566C211yesmaximal, characteristic
28#20253432C211yesmaximal, characteristic
29#20253393C211yesmaximal, characteristic, complemented
30#20252487C211yesmaximal, characteristic, complemented
31C47×#3244C211yesmaximal, characteristic, complemented
32#15689876—21no—
33#15689873—21no—
34#15689853C2211yescharacteristic, complemented
35#15689851C2211yescharacteristic, complemented
36#15689849C2211yescharacteristic, complemented
37#15689848C2211yescharacteristic, complemented
38#15689843C2211yescharacteristic, complemented
39#15689842—21no—
40#15689842C2211yescharacteristic, complemented
41#15689842C2211yescharacteristic, complemented
42#15689834—21no—
43#15689834C2211yescharacteristic
44#15689834C2211yescharacteristic
45#15689832C2211yescharacteristic, complemented
46#15689829—21no—
47#15689829—21no—
48#15689829C2211yescharacteristic
49#15689829C2211yescharacteristic
50#15689829C2211yescharacteristic
51#15689829C2211yescharacteristic
52#15689810—21no—
53#15689788—21no—
54#15689788C2211yescharacteristic
55#15689788C2211yescharacteristic
56#15689754C2211yescharacteristic
57#15689752—21no—
58#15689748—21no—
59#15689748—21no—
60#15689740C2211yescharacteristic
61#15689735C2211yescharacteristic
62#15689733—21no—
63#15689733C2211yescharacteristic
64#15689730—21no—
65#15689730—21no—
66#15689676C2211yescharacteristic
67#15689676C2211yescharacteristic
68#15689675C2211yescharacteristic
69#15689654C2211yescharacteristic
70C22⋊Q8×D47—21no—
71C22⋊Q8×D47—21no—
72#15689597C2211yescharacteristic
73#15689597C2211yescharacteristic
74C2×#13093986C2211yescharacteristic
75#15689530C2211yescharacteristic, complemented
76#15689530C2211yescharacteristic, complemented
77#15689529C2211yescharacteristic, complemented
78#15689527C2211yescharacteristic, complemented
79#15689524C2211yescharacteristic, complemented
80#15689523C2211yescharacteristic, complemented
81#15689523C2211yescharacteristic, complemented
82#15689522C2211yescharacteristic, complemented
83#15689520C2211yescharacteristic, complemented
84#15689520C2211yescharacteristic, complemented
85#15689493C2211yescharacteristic, complemented
86#15689490C2211yescharacteristic, complemented
87#15689481C2211yescharacteristic, complemented
88#15689476C2211yescharacteristic, complemented
89#15689476C2211yescharacteristic, complemented
90#15689476C2211yescharacteristic, complemented
91#15689475C2211yescharacteristic, complemented
92#15689472C2211yescharacteristic, complemented
93#15689472C2211yescharacteristic, complemented
94#15689472C2211yescharacteristic, complemented
95#15689465C2211yescharacteristic
96#15689465C2211yescharacteristic
97#15689464C2211yescharacteristic
98#15689464C2211yescharacteristic
99#15689461C2211yescharacteristic
100#15689458C2211yescharacteristic
101#15689453C2211yescharacteristic
102#15689444C2211yescharacteristic
103#15689433C2211yescharacteristic, complemented
104#15689433C2211yescharacteristic, complemented
105#15689433C2211yescharacteristic, complemented
106#15689432C2211yescharacteristic, complemented
107#15689429C2211yescharacteristic, complemented
108#15689428C2211yescharacteristic, complemented
109#15689428C2211yescharacteristic, complemented
110#15689427C2211yescharacteristic, complemented
111#15689427C2211yescharacteristic, complemented
112#15689426C2211yescharacteristic
113#15689424C2211yescharacteristic
114#15689424C2211yescharacteristic
115#15689422C2211yescharacteristic
116#15689422C2211yescharacteristic
117#15689422C2211yescharacteristic
118#15689421C2211yescharacteristic, complemented
119#15689417C2211yescharacteristic, complemented
120#15689416C2211yescharacteristic, complemented
121#15689415C2211yescharacteristic, complemented
122#15689412C2211yescharacteristic
123#15689412C2211yescharacteristic
124#15689412C2211yescharacteristic
125#15689411C2211yescharacteristic, complemented
126#15689411C2211yescharacteristic, complemented
127#15689410C2211yescharacteristic
128#15689407C2211yescharacteristic, complemented
129#15689407C2211yescharacteristic, complemented
130#15689407C2211yescharacteristic, complemented
131#15689405C2211yescharacteristic, complemented
132#15689402C2211yescharacteristic
133#15689401C2211yescharacteristic, complemented
134#15689400C2211yescharacteristic
135#15689337C2211yescharacteristic
136#15689337C2211yescharacteristic
137#15689337C2211yescharacteristic
138#15689337C2211yescharacteristic
139#15689335C2211yescharacteristic
140#15689335C2211yescharacteristic
141#15689329C2211yescharacteristic
142#15689329C2211yescharacteristic
143#15689327C2211yescharacteristic
144#15689327C2211yescharacteristic
145#15689327C2211yescharacteristic
146#15689327C2211yescharacteristic
147#15689276C2211yescharacteristic
148#15689276C2211yescharacteristic
149#15689273C2211yescharacteristic
150#15689256C2211yescharacteristic
151#15689252C2211yescharacteristic, complemented
152#15689252C2211yescharacteristic, complemented
153#15689251C2211yescharacteristic, complemented
154#15689251C2211yescharacteristic, complemented
155C8×Dic94C2211yescharacteristic, complemented
156C8×Dic94C2211yescharacteristic, complemented
157#15689247C2211yescharacteristic, complemented
158#15689247C2211yescharacteristic, complemented
159#15689233C2211yescharacteristic
160#15689232C2211yescharacteristic
161#15689226C2211yescharacteristic
162#15689225C2211yescharacteristic
163#15689225C2211yescharacteristic
164#15689222C2211yescharacteristic
165#15689222C2211yescharacteristic
166#15689221C2211yescharacteristic
167C4×#10625325C2211yescharacteristic
168C4×#10625325C2211yescharacteristic
169C4×#10625336C2211yescharacteristic
170#15689210C2211yescharacteristic
171#15689210C2211yescharacteristic
172#15689210C2211yescharacteristic
173#15689210C2211yescharacteristic
174#15689210C2211yescharacteristic
175#15689210C2211yescharacteristic
176#15689208C2211yescharacteristic
177#15689208C2211yescharacteristic
178#15689208C2211yescharacteristic
179C4×#10625334C2211yescharacteristic
180#15689203C2211yescharacteristic
181#15689203C2211yescharacteristic
182#15689203C2211yescharacteristic
183#15689184C2211yescharacteristic
184#15689181C2211yescharacteristic
185#15689181C2211yescharacteristic
186#15689173C2211yescharacteristic
187#15689173C2211yescharacteristic
188C47×#544C2211yescharacteristic
189C47×#542C2211yescharacteristic
190C47×#501C2211yescharacteristic, complemented
191C47×#498C2211yescharacteristic, complemented
192C47×#489C2211yescharacteristic, complemented
193C47×#488C2211yescharacteristic, complemented
194C47×#485C2211yescharacteristic
195C47×#483C2211yescharacteristic
196C47×#482C2211yescharacteristic
197C47×#481C2211yescharacteristic
198C47×#479C2211yescharacteristic, complemented
199C47×#478C2211yescharacteristic, complemented
200C47×#476C2211yescharacteristic, complemented
201C47×#475C2211yescharacteristic, complemented
202C47×#433C2211yescharacteristic
203C2×Q8×D47—21no—
204C2×Q8×D47—21no—
205C22×D188C2311yescharacteristic
206C22×C4×D47—21no—
207C2×#10625325C2311yescharacteristic
208C2×#10625325C2311yescharacteristic
209C2×#10625325C2311yescharacteristic
210C2×#10625325C2311yescharacteristic
211C2×#10625336C2311yescharacteristic
212C2×#10625336C2311yescharacteristic
213C2×#10625334C2311yescharacteristic
214C2×#10625334C2311yescharacteristic
215#13094024C2311yescharacteristic
216#13094023—21no—
217#13094023—21no—
218#13094023—21no—
219#13094023D411yescharacteristic
220#13094023D411yescharacteristic
221#13094023C2311yescharacteristic
222#13094023C2311yescharacteristic
223#13094023C2311yescharacteristic
224#13094023C2311yescharacteristic
225#13094023C2311yescharacteristic
226#13094023C2311yescharacteristic
227#13094022—21no—
228#13094022—21no—
229#13094022—21no—
230#13094022C2311yescharacteristic
231#13094022C2311yescharacteristic
232#13094017—21no—
233#13094017—21no—
234#13094017—21no—
235#13094017—21no—
236#13094017—21no—
237#13094017—21no—
238#13094017—21no—
239#13094017—21no—
240#13094017—21no—
241#13094017—21no—
242#13094017—21no—
243#13094017—21no—
244#13094016—21no—
245#13094016—21no—
246#13094016C2311yescharacteristic
247#13094015—21no—
248#13094015—21no—
249#13094015—21no—
250#13094015D411yescharacteristic
251#13094015D411yescharacteristic
252#13094015C2311yescharacteristic
253#13094015C2311yescharacteristic
254#13094015C2311yescharacteristic
255#13094015C2311yescharacteristic
256#13094015C2311yescharacteristic
257#13094015C2311yescharacteristic
258#13094014—21no—
259#13094014—21no—
260#13094014—21no—
261#13094014—21no—
262#13094014—21no—
263#13094014—21no—
264#13094014—21no—
265#13094014—21no—
266#13094011—21no—
267#13094011C2311yescharacteristic
268#13094011C2311yescharacteristic
269#13094005—21no—
270#13094005—21no—
271#13094004—21no—
272#13094004—21no—
273#13094004—21no—
274#13094004—21no—
275#13094004—21no—
276#13094004—21no—
277#13094003—21no—
278#13094003—21no—
279#13094003—21no—
280#13094003—21no—
281#13094003C2311yescharacteristic
282#13094003C2311yescharacteristic
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#13094002—21no—
294#13094002—21no—
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#13094001D411yescharacteristic
304#13094001D411yescharacteristic
305#13094001D411yescharacteristic
306#13094001D411yescharacteristic
307#13094000—21no—
308#13094000—21no—
309#13094000—21no—
310#13094000—21no—
311#13094000—21no—
312#13094000—21no—
313Q8×Dic47—21no—
314Q8×Dic47C2311yescharacteristic
315Q8×Dic47C2311yescharacteristic
316C4×Dic94—21no—
317C4×Dic94—21no—
318C4×Dic94—21no—
319C4×Dic94—21no—
320C4×Dic94C2311yescharacteristic
321C4×Dic94C2311yescharacteristic
322C4×Dic94C2311yescharacteristic
323C4×Dic94C2311yescharacteristic
324C4×Dic94C2311yescharacteristic
325C4×Dic94C2311yescharacteristic
326#13093989—21no—
327#13093989—21no—
328#13093989C2311yescharacteristic
329#13093989C2311yescharacteristic
330#13093989C2311yescharacteristic
331#13093989C2311yescharacteristic
332C4×D188—21no—
333C4×D188—21no—
334C4×D188C2311yescharacteristic
335C4×D188C2311yescharacteristic
336C4×D188C2311yescharacteristic
337C4×D188C2311yescharacteristic
338D4×Dic47—21no—
339D4×Dic47C2311yescharacteristic
340D4×Dic47C2311yescharacteristic
341#13093986—21no—
342#13093986—21no—
343#13093986—21no—
344#13093986—21no—
345#13093986C2311yescharacteristic
346#13093986C2311yescharacteristic
347#13093986C2311yescharacteristic
348#13093986C2311yescharacteristic
349#13093986C2311yescharacteristic
350#13093986C2311yescharacteristic
351#13093986C2311yescharacteristic
352#13093986C2311yescharacteristic
353#13093983—21no—
354#13093983C2311yescharacteristic
355#13093983C2311yescharacteristic
356#13093980—21no—
357#13093980—21no—
358#13093980—21no—
359#13093980—21no—
360C2×Dic47⋊C4—21no—
361C4⋊C4×D47—21no—
362C4⋊C4×D47—21no—
363C4⋊C4×D47—21no—
364C4⋊C4×D47—21no—
365C4⋊C4×D47—21no—
366C4⋊C4×D47—21no—
367C2×(C2×D47)⋊C4—21no—
368C22⋊C4×D47—21no—
369C22⋊C4×D47—21no—
370C22⋊C4×D47—21no—
371C22⋊C4×D47—21no—
372C2×C4×Dic47C2311yescharacteristic
373#13093958C2311yescharacteristic
374#13093958C2311yescharacteristic
375#13093957C2311yescharacteristic
376#13093957C2311yescharacteristic
377#13093957C2311yescharacteristic
378#13093957C2311yescharacteristic
379#13093957C2311yescharacteristic
380#13093957C2311yescharacteristic
381#13093956C2311yescharacteristic
382#13093956C2311yescharacteristic
383#13093955C2311yescharacteristic
384#13093955C2311yescharacteristic
385#13093955C2311yescharacteristic
386#13093955C2311yescharacteristic
387#13093955C2311yescharacteristic
388#13093955C2311yescharacteristic
389C4⋊(C47⋊C8)C2311yescharacteristic
390C4⋊(C47⋊C8)C2311yescharacteristic
391Dic47⋊C8C2311yescharacteristic
392Dic47⋊C8C2311yescharacteristic
393Dic47⋊C8C2311yescharacteristic
394Dic47⋊C8C2311yescharacteristic
395Dic47⋊C8C2311yescharacteristic
396Dic47⋊C8C2311yescharacteristic
397Dic47⋊C8C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399#13093949C2311yescharacteristic
400#13093949C2311yescharacteristic
401#13093949C2311yescharacteristic
402#13093949C2311yescharacteristic
403#13093948C2311yescharacteristic
404#13093948C2311yescharacteristic
405#13093947C2311yescharacteristic
406#13093947C2311yescharacteristic
407#13093947C2311yescharacteristic
408#13093947C2311yescharacteristic
409#13093947C2311yescharacteristic
410#13093947C2311yescharacteristic
411#13093947C2311yescharacteristic
412#13093947C2311yescharacteristic
413#13093946C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093945C2311yescharacteristic
418#13093945C2311yescharacteristic
419#13093944C2311yescharacteristic
420#13093944C2311yescharacteristic
421#13093944C2311yescharacteristic
422#13093944C2311yescharacteristic
423C22⋊(C47⋊C8)C2311yescharacteristic
424C22⋊(C47⋊C8)C2311yescharacteristic
425#13093935C2311yescharacteristic
426#13093934C2311yescharacteristic
427#13093934C2311yescharacteristic
428C4×C47⋊C8C2311yescharacteristic
429C8×Dic47C2311yescharacteristic
430C8×Dic47C2311yescharacteristic
431C8×Dic47C2311yescharacteristic
432C8×Dic47C2311yescharacteristic
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#106×C47C2311yescharacteristic
459#106×C47C2311yescharacteristic
460#106×C47C2311yescharacteristic
461#106×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
488C22×Dic47—21no—
489C22×Dic47—21no—
490C22×Dic47C2×D411yescharacteristic
491C22×Dic47C2×D411yescharacteristic
492Q8×D47—82no—
493Q8×D47—82no—
494C2×D188—21no—
495C2×D188—22no—
496C2×D188—22no—
497C2×D188C2411yescharacteristic
498C2×D188C2411yescharacteristic
499C2×C4×D47—21no—
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—21no—
508C2×C4×D47—21no—
509C2×C4×D47—21no—
510C2×C4×D47—21no—
511C2×C4×D47—82no—
512C2×Dic94—21no—
513C2×Dic94—21no—
514C2×Dic94—21no—
515C2×Dic94—21no—
516C2×Dic94—21no—
517C2×Dic94—21no—
518C2×Dic94C2×D411yescharacteristic
519C2×Dic94C2×D411yescharacteristic
520C2×Dic94C2×D411yescharacteristic
521C2×Dic94C2×D411yescharacteristic
522C2×Dic94C2411yescharacteristic
523C2×Dic94C2411yescharacteristic
524C2×C8×C47C2411yescharacteristic
525C2×C8×C47C2411yescharacteristic
526C2×C8×C47C2411yescharacteristic
527C2×C8×C47C2411yescharacteristic
528C4⋊C4×C47—21no—
529C4⋊C4×C47—21no—
530C4⋊C4×C47—21no—
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×C47C2×D411yescharacteristic
539C4⋊C4×C47C2×D411yescharacteristic
540C4⋊C4×C47C2411yescharacteristic
541C4⋊C4×C47C2411yescharacteristic
542C4⋊C4×C47C2411yescharacteristic
543C4⋊C4×C47C2411yescharacteristic
544C4⋊C4×C47C2411yescharacteristic
545C4⋊C4×C47C2411yescharacteristic
546C22⋊C4×C47—21no—
547C22⋊C4×C47—21no—
548C22⋊C4×C47—21no—
549C22⋊C4×C47—21no—
550C22⋊C4×C47—21no—
551C22⋊C4×C47—21no—
552C22⋊C4×C47C2×D411yescharacteristic
553C22⋊C4×C47C2×D411yescharacteristic
554C42×C47—21no—
555C42×C47—21no—
556C42×C47C2411yescharacteristic
557C42×C47C2411yescharacteristic
558C22⋊Dic47—21no—
559C22⋊Dic47—21no—
560C22⋊Dic47—21no—
561C22⋊Dic47—21no—
562C22⋊Dic47—21no—
563C22⋊Dic47—21no—
564C22⋊Dic47—21no—
565C22⋊Dic47—21no—
566C22⋊Dic47—21no—
567C22⋊Dic47C2×D411yescharacteristic
568C22⋊Dic47C2×D411yescharacteristic
569#10625336—22no—
570#10625336—22no—
571#10625334—22no—
572#10625334—22no—
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)⋊C4—21no—
584(C2×D47)⋊C4—21no—
585C4⋊Dic47—21no—
586C4⋊Dic47—21no—
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⋊Dic47C2×D411yescharacteristic
596C4⋊Dic47C2×D411yescharacteristic
597C4⋊Dic47C2×D411yescharacteristic
598C4⋊Dic47C2×D411yescharacteristic
599C4⋊Dic47C2×D411yescharacteristic
600C4⋊Dic47C2×D411yescharacteristic
601C4⋊Dic47C2411yescharacteristic
602C4⋊Dic47C2411yescharacteristic
603C4⋊Dic47C2411yescharacteristic
604C4⋊Dic47C2411yescharacteristic
605Dic47⋊C4—21no—
606Dic47⋊C4—21no—
607Dic47⋊C4—21no—
608Dic47⋊C4—21no—
609Dic47⋊C4—21no—
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⋊C4C2×D411yescharacteristic
632Dic47⋊C4C2×D411yescharacteristic
633Dic47⋊C4C2×D411yescharacteristic
634Dic47⋊C4C2×D411yescharacteristic
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×Dic47—21no—
647C4×Dic47—21no—
648C4×Dic47C2×D411yescharacteristic
649C4×Dic47C2×D411yescharacteristic
650C4×Dic47C2411yescharacteristic
651C4×Dic47C2411yescharacteristic
652C4×Dic47C2411yescharacteristic
653C4×Dic47C2411yescharacteristic
654C2×C47⋊C8C2411yescharacteristic
655C2×C47⋊C8C2411yescharacteristic
656C2×C47⋊C8C2411yescharacteristic
657C2×C47⋊C8C2411yescharacteristic
658#10625325—22no—
659#10625325—22no—
660#10625325—22no—
661#10625325—22no—
662C23×C47—21no—
663C23×C47C22×D411yescharacteristic
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—24no—
667C22×D47—81no—
668C22×D47—81no—
669Q8×C47—21no—
670Q8×C47—21no—
671Q8×C47—81no—
672Q8×C47—81no—
673Q8×C47—81no—
674D4×C47—21no—
675D4×C47—21no—
676D4×C47—81no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
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—81no—
687C2×C4×C47—81no—
688C2×C4×C47C22×D411yescharacteristic
689C2×C4×C47C22×D411yescharacteristic
690C2×C4×C47C22×D411yescharacteristic
691C2×C4×C47C22×D411yescharacteristic
692C2×C4×C47C22×D411yescharacteristic
693C2×C4×C47C2511yescharacteristic
694C2×Dic47—22no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—41no—
702C2×Dic47—42no—
703C2×Dic47—81no—
704C2×Dic47C22×D411yescharacteristic
705C2×Dic47C22×D411yescharacteristic
706C2×Dic47C22×D411yescharacteristic
707C2×Dic47C22×D411yescharacteristic
708C2×Dic47C22×D411yescharacteristic
709C2×Dic47C22×D411yescharacteristic
710C2×Dic47C22×D411yescharacteristic
711C2×Dic47C22×D411yescharacteristic
712D188—24no—
713D188—21no—
714D188—21no—
715D1882−1+412yes—
716D1882−1+412yes—
717C4×D47—42no—
718C4×D47—42no—
719C4×D47—81no—
720C4×D47—81no—
721C4×D47—81no—
722C4×D47—81no—
723C4×D47—81no—
724C4×D47—81no—
725C4×D47—81no—
726C4×D47—81no—
727C4×D47—81no—
728C4×D47—81no—
729Dic94—22no—
730Dic94—22no—
731Dic94—21no—
732Dic94—21no—
733Dic94—21no—
734Dic94—21no—
735Dic94—41no—
736Dic94—41no—
737Dic94—42no—
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#61864—471nomaximal, Sylow
752C22×C47—21no—
753C22×C47—21no—
754C22×C47—21no—
755C22×C47—41no—
756C22×C47—41no—
757C22×C47—41no—
758C22×C47C23×D411yescharacteristic
759C2×D47—22no—
760C2×D47—22no—
761C2×D47—41no—
762C2×D47—41no—
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—41no—
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#57712yes—
794#3555—471no—
795#3501—471no—
796#3388—471no—
797#3388—471no—
798#3385—471no—
799#3384—471no—
800#3381—471no—
801#3381—471no—
802#3380—471no—
803Q8×SD16—471no—
804#3376—471no—
805#3376—471no—
806#3372—471no—
807#3367—471no—
808#3360—471no—
809#3360—471no—
810#3360—471no—
811#3359—471no—
812#3244—471no—
813#3244D4711yescharacteristic, complemented
814#3242—471no—
815#3242—471no—
816#3233—471no—
817#3231—471no—
818#3123—471no—
819#3123—471no—
820#3118—471no—
821#3118—471no—
822#3105—471no—
823#3101—471no—
824#2986—471no—
825C2×C47—41no—
826C2×C47—81no—
827C2×C47#348611yescharacteristic
828C2×C47C2×#57711yescharacteristic
829C2×C47#358411yescharacteristic
830D47—42no—
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—471no—
841#556—941no—
842#554—471no—
843#554—471no—
844#554—471no—
845#554—471no—
846#554—471no—
847#554—471no—
848#554—471no—
849#554—941no—
850#554—941no—
851#554—941no—
852#552—941no—
853D4×Q8—471no—
854D4×Q8—471no—
855D4×Q8—941no—
856#544—471no—
857#544—941no—
858#544C2×D4711yescharacteristic
859#543—941no—
860#543—941no—
861#542—471no—
862#542C2×D4711yescharacteristic
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#501C2×D4711yescharacteristic, complemented
881#500—471no—
882#499—471no—
883#499—471no—
884#499—471no—
885#499—471no—
886#498—471no—
887#498—471no—
888#498C2×D4711yescharacteristic, complemented
889#491—471no—
890#491—471no—
891#489—471no—
892#489C2×D4711yescharacteristic, complemented
893#488—471no—
894#488—471no—
895#488—471no—
896#488C2×D4711yescharacteristic, complemented
897#487—471no—
898#487—471no—
899#487—471no—
900#487—471no—
901#485—471no—
902#485—471no—
903#485—471no—
904#485—471no—
905#485—471no—
906#485C2×D4711yescharacteristic
907#484—471no—
908#483—471no—
909#483C2×D4711yescharacteristic
910#482—471no—
911#482C2×D4711yescharacteristic
912#481C2×D4711yescharacteristic
913#479—471no—
914#479—471no—
915#479—471no—
916#479—471no—
917#479—471no—
918#479—471no—
919#479—471no—
920#479—471no—
921#479—471no—
922#479C2×D4711yescharacteristic, complemented
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#476—471no—
935#476—471no—
936#476—471no—
937#476—471no—
938#476—471no—
939#476—471no—
940#476C2×D4711yescharacteristic, complemented
941#475—471no—
942#475—471no—
943#475—471no—
944#475—471no—
945#475C2×D4711yescharacteristic, complemented
946#474—471no—
947#474—471no—
948#474—471no—
949#463—471no—
950#463—471no—
951#463—471no—
952#463—471no—
953#463—471no—
954#463—471no—
955#461—471no—
956#461—471no—
957#461—471no—
958#461—471no—
959#461—471no—
960#461—471no—
961#450—471no—
962#450—471no—
963#450—471no—
964#447—471no—
965#446—471no—
966#446—471no—
967#446—471no—
968#446—471no—
969C8×Q8—471no—
970C8×Q8—471no—
971C8×Q8—471no—
972C8×Q8—471no—
973#442—471no—
974#442—471no—
975#440—471no—
976#440—471no—
977#440—471no—
978#440—471no—
979#440—471no—
980#440—471no—
981C4×SD16—471no—
982C4×SD16—471no—
983C4×SD16—471no—
984C4×SD16—471no—
985C4×SD16—471no—
986C4×SD16—471no—
987C4×SD16—471no—
988C4×SD16—471no—
989C4×SD16—471no—
990C4×SD16—471no—
991C4×SD16—471no—
992C4×SD16—471no—
993C4×D8—471no—
994C4×D8—471no—
995C4×D8—471no—
996C4×D8—471no—
997#433—471no—
998#433—471no—
999#433—471no—
1000#433C2×D4711yescharacteristic
1001#431—471no—
1002#431—471no—
1003C47#6186411yescharacteristic, 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×SD16—471no—
1013C2×SD16—471no—
1014C2×D8—471no—
1015C2×D8—471no—
1016C4⋊Q8—21no—
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⋊Q8C22×D4711yescharacteristic
1035C4⋊Q8C22×D4711yescharacteristic
1036C4⋊Q8C22×D4711yescharacteristic
1037#126—21no—
1038#126—941no—
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—21no—
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—471no—
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—21no—
1076#124—471no—
1077#124—471no—
1078#124—941no—
1079#124C22×D4711yescharacteristic
1080#123—21no—
1081#123—941no—
1082#123—941no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—471no—
1087C22⋊Q8—471no—
1088C22⋊Q8—471no—
1089C22⋊Q8—471no—
1090C22⋊Q8—471no—
1091C22⋊Q8—471no—
1092C22⋊Q8—941no—
1093C22⋊Q8—941no—
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⋊Q8C22×D4711yescharacteristic
1129#121C22×D4711yescharacteristic
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—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×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—471no—
1162C4×D4—471no—
1163C4×D4—471no—
1164C4×D4—941no—
1165C4×D4—941no—
1166C4×D4—941no—
1167C4×D4—941no—
1168C4×D4—941no—
1169C4×D4—941no—
1170C4×D4—941no—
1171C4×D4C22×D4711yescharacteristic
1172#117—471no—
1173#117—471no—
1174#117—941no—
1175#117—941no—
1176#117—941no—
1177#117—941no—
1178#117—941no—
1179#117C22×D4711yescharacteristic
1180#117C22×D4711yescharacteristic
1181C2×C4⋊C4—941no—
1182C2×C4⋊C4—941no—
1183C2×C4⋊C4—941no—
1184C2×C4⋊C4—941no—
1185C2×C4⋊C4—941no—
1186C2×C4⋊C4—941no—
1187C2×C4⋊C4—941no—
1188C2×C4⋊C4C22×D4711yescharacteristic
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#107C22×D4711yescharacteristic
1204#107C22×D4711yescharacteristic
1205#106—471no—
1206#106—471no—
1207#106—471no—
1208#106—471no—
1209#106—471no—
1210#106—471no—
1211#106—471no—
1212#106—471no—
1213#106C22×D4711yescharacteristic
1214#106C22×D4711yescharacteristic
1215#106C22×D4711yescharacteristic
1216#106C22×D4711yescharacteristic
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⋊C8—471no—
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#103—471no—
1244#103—471no—
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⋊C8C22×D4711yescharacteristic
1266C22⋊C8C22×D4711yescharacteristic
1267#97—471no—
1268#97—471no—
1269#97—471no—
1270#97C22×D4711yescharacteristic
1271C4×C8—471no—
1272C4×C8—471no—
1273C4×C8—471no—
1274C4×C8—471no—
1275C4×C8—471no—
1276C4×C8—471no—
1277C4×C8—471no—
1278C4×C8C22×D4711yescharacteristic
1279C24—941no—
1280C2×Q8—21no—
1281C2×Q8—21no—
1282C2×Q8—21no—
1283C2×Q8—471no—
1284C2×Q8—471no—
1285C2×Q8—471no—
1286C2×Q8—471no—
1287C2×Q8—471no—
1288C2×Q8—471no—
1289C2×Q8—941no—
1290C2×Q8—941no—
1291C2×Q8—941no—
1292C2×Q8—941no—
1293C2×Q8—941no—
1294C2×Q8—941no—
1295C2×Q8—3762no—
1296C2×Q8—3762no—
1297C2×Q8C23×D4711yescharacteristic
1298C2×D4—21no—
1299C2×D4—471no—
1300C2×D4—471no—
1301C2×D4—942no—
1302C2×D4—942no—
1303C2×D4—941no—
1304C2×D4C23×D4711yescharacteristic
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—471no—
1308C22×C4—471no—
1309C22×C4—941no—
1310C22×C4—941no—
1311C22×C4—941no—
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—3762no—
1324C22×C4C23×D4711yescharacteristic
1325SD16—942no—
1326SD16—942no—
1327SD16—942no—
1328SD16—942no—
1329SD16—942no—
1330SD16—942no—
1331D8—942no—
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—21no—
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⋊C4D4×D4711yescharacteristic
1406C4⋊C4D4×D4711yescharacteristic
1407C4⋊C4C23×D4711yescharacteristic
1408C4⋊C4C23×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—471no—
1420C22⋊C4—471no—
1421C22⋊C4—941no—
1422C22⋊C4—941no—
1423C22⋊C4—941no—
1424C22⋊C4—941no—
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⋊C4D4×D4711yescharacteristic
1443C22⋊C4D4×D4711yescharacteristic
1444C42—21no—
1445C42—21no—
1446C42—471no—
1447C42—471no—
1448C42—471no—
1449C42—471no—
1450C42—471no—
1451C42—471no—
1452C42—941no—
1453C42—941no—
1454C42—941no—
1455C42—941no—
1456C42—941no—
1457C42—941no—
1458C42—941no—
1459C42—941no—
1460C42—941no—
1461C42C23×D4711yescharacteristic
1462C42C23×D4711yescharacteristic
1463C23—21no—
1464C23—944no—
1465C23—941no—
1466C23—941no—
1467C23—3761no—
1468C23—3761no—
1469C23C2×D4×D4711yescharacteristic
1470Q8—21no—
1471Q8—21no—
1472Q8—81no—
1473Q8—81no—
1474Q8—81no—
1475Q8—942no—
1476Q8—942no—
1477Q8—941no—
1478Q8—941no—
1479Q8—941no—
1480Q8—941no—
1481Q8—3761no—
1482Q8—3761no—
1483Q8—3761no—
1484Q8—3761no—
1485Q8—3761no—
1486Q8—1881no—
1487Q8—1881no—
1488Q8—1882no—
1489D4—21no—
1490D4—21no—
1491D4—81no—
1492D4—472no—
1493D4—472no—
1494D4—944no—
1495D4—941no—
1496D4—941no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—81no—
1507C2×C4—81no—
1508C2×C4—471no—
1509C2×C4—471no—
1510C2×C4—471no—
1511C2×C4—471no—
1512C2×C4—471no—
1513C2×C4—471no—
1514C2×C4—471no—
1515C2×C4—471no—
1516C2×C4—942no—
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—3761no—
1534C2×C4—1882no—
1535C2×C4—1882no—
1536C2×C4—1882no—
1537C2×C4—1881no—
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—21no—
1553C22—21no—
1554C22—21no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—942no—
1559C22—942no—
1560C22—3764no—
1561C22—1881no—
1562C22—1881no—
1563C22—1881no—
1564C22—1881no—
1565C22C22×D4×D4711yescharacteristic
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—21no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—472no—
1579C4—941no—
1580C4—941no—
1581C4—941no—
1582C4—941no—
1583C4—941no—
1584C4—941no—
1585C4—941no—
1586C4—1881no—
1587C4—1881no—
1588C4—1881no—
1589C4—1881no—
1590C4—1881no—
1591C4—1881no—
1592C42−1+4×D4711yescharacteristic
1593C42−1+4×D4711yescharacteristic
1594C2—41no—
1595C2—81no—
1596C2—1882no—
1597C2—1882no—
1598C2#2025703711yescharacteristic
1599C2#577×D4711yescharacteristic
1600C2#2025816011yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3244C2
socleC22×C47C23×D4
prime radical#15689256C22
hypercenter#3244D47
hypocenterC47#61864
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #117 ◁ #3244

Complements

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

NH ≅ G/Ntype
1. #20257874C2semidirect
2. #20257190C2semidirect
3. #20256340C2semidirect
4. #20256328C2semidirect
5. #20256295C2semidirect
6. #20256282C2semidirect
7. #20256268C2semidirect
8. #20256266C2semidirect
9. #20256250C2semidirect
10. #20256245C2semidirect
11. #20256218C2semidirect
12. #20256214C2semidirect
13. #20256172C2semidirect
14. #20256103C2semidirect
15. #20256036C2semidirect
16. #20256034C2semidirect
17. #20256034C2semidirect
18. #20256029C2semidirect
19. #20254682C2semidirect
20. #20254656C2semidirect
21. #20254652C2semidirect
22. #20254564C2semidirect
23. #20254545C2semidirect
24. #20253641C2semidirect
25. #20253636C2semidirect
29. #20253393C2semidirect
30. #20252487C2semidirect
31. C47×#3244C2semidirect
34. #15689853C22semidirect
35. #15689851C22semidirect
36. #15689849C22semidirect
37. #15689848C22semidirect
38. #15689843C22semidirect
40. #15689842C22semidirect
41. #15689842C22semidirect
45. #15689832C22semidirect
75. #15689530C22semidirect
76. #15689530C22semidirect
77. #15689529C22semidirect
78. #15689527C22semidirect
79. #15689524C22semidirect
80. #15689523C22semidirect
81. #15689523C22semidirect
82. #15689522C22semidirect
83. #15689520C22semidirect
84. #15689520C22semidirect
85. #15689493C22semidirect
86. #15689490C22semidirect
87. #15689481C22semidirect
88. #15689476C22semidirect
89. #15689476C22semidirect
90. #15689476C22semidirect
91. #15689475C22semidirect
92. #15689472C22semidirect
93. #15689472C22semidirect
94. #15689472C22semidirect
103. #15689433C22semidirect
104. #15689433C22semidirect
105. #15689433C22semidirect
106. #15689432C22semidirect
107. #15689429C22semidirect
108. #15689428C22semidirect
109. #15689428C22semidirect
110. #15689427C22semidirect
111. #15689427C22semidirect
118. #15689421C22semidirect
119. #15689417C22semidirect
120. #15689416C22semidirect
121. #15689415C22semidirect
125. #15689411C22semidirect
126. #15689411C22semidirect
128. #15689407C22semidirect
129. #15689407C22semidirect
130. #15689407C22semidirect
131. #15689405C22semidirect
133. #15689401C22semidirect
151. #15689252C22semidirect
152. #15689252C22semidirect
153. #15689251C22semidirect
154. #15689251C22semidirect
155. C8×Dic94C22semidirect
156. C8×Dic94C22semidirect
157. #15689247C22semidirect
158. #15689247C22semidirect
190. C47×#501C22semidirect
191. C47×#498C22semidirect
192. C47×#489C22semidirect
193. C47×#488C22semidirect
198. C47×#479C22semidirect
199. C47×#478C22semidirect
200. C47×#476C22semidirect
201. C47×#475C22semidirect
813. #3244D47semidirect
880. #501C2×D47semidirect
888. #498C2×D47semidirect
892. #489C2×D47semidirect
896. #488C2×D47semidirect
922. #479C2×D47semidirect
930. #478C2×D47semidirect
940. #476C2×D47semidirect
945. #475C2×D47semidirect
1003. C47#61864semidirect

Maximal subgroups

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

subgroupindex
#202578742
#202571902
#202563402
#202563282
#202562952
#202562822
#202562682
#202562662
#202562502
#202562452
#202562182
#202562142
#202561722
#202561032
#202560362
#202560342
#202560292
#202546822
#202546562
#202546522
#202545642
#202545452
#202536412
#202536362
#202535672
#202535662
#202534322
#202533932
#202524872
C47×#32442
#6186447