Finite Group Databasebeta

← #27111765

Subgroups — #27111765

Order 12032.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257906C211yesmaximal, characteristic, complemented
2#20257399C211yesmaximal, characteristic, complemented
3#20256458C211yesmaximal, characteristic, complemented
4#20256447C211yesmaximal, characteristic, complemented
5#20256206C211yesmaximal, characteristic, complemented
6#20256197C211yesmaximal, characteristic, complemented
7#20255622C211yesmaximal, characteristic, complemented
8#20255615C211yesmaximal, characteristic, complemented
9#20255545C211yesmaximal, characteristic, complemented
10#20255540C211yesmaximal, characteristic, complemented
11#20255461C211yesmaximal, characteristic, complemented
12#20255450C211yesmaximal, characteristic, complemented
13#20255040C211yesmaximal, characteristic, complemented
14#20255039C211yesmaximal, characteristic, complemented
15#20254898C211yesmaximal, characteristic, complemented
16#20254892C211yesmaximal, characteristic, complemented
17#20254883C211yesmaximal, characteristic, complemented
18#20254878C211yesmaximal, characteristic, complemented
19#20254849C211yesmaximal, characteristic, complemented
20#20254847C211yesmaximal, characteristic, complemented
21#20254773C211yesmaximal, characteristic, complemented
22#20254487C211yesmaximal, characteristic, complemented
23#20254482C211yesmaximal, characteristic, complemented
24#20254389C211yesmaximal, characteristic, complemented
25#20253617C211yesmaximal, characteristic, complemented
26#20253616C211yesmaximal, characteristic, complemented
27#20253538C211yesmaximal, characteristic, complemented
28#20252904C211yesmaximal, characteristic, complemented
29#20252879C211yesmaximal, characteristic, complemented
30#20252556C211yesmaximal, characteristic, complemented
31C47×#3043C211yesmaximal, characteristic, complemented
32C2×#13094056C2211yescharacteristic, complemented
33C2×#13094053C2211yescharacteristic, complemented
34C2×#13094051C2211yescharacteristic
35C2×SD16×D47C2211yescharacteristic, complemented
36#15689868—21no—
37#15689866—21no—
38#15689859C2211yescharacteristic
39#15689855C2211yescharacteristic
40Q8×Dic94C2211yescharacteristic, complemented
41#15689846—21no—
42#15689846C2211yescharacteristic, complemented
43#15689845—21no—
44#15689845C2211yescharacteristic, complemented
45#15689841—21no—
46#15689841C2211yescharacteristic, complemented
47#15689836—21no—
48#15689836C2211yescharacteristic, complemented
49Q8×C22⋊D47C2211yescharacteristic, complemented
50#15689785C2211yescharacteristic, complemented
51#15689784C2211yescharacteristic, complemented
52#15689781C2211yescharacteristic
53#15689780C2211yescharacteristic
54#15689767C2211yescharacteristic
55#15689762—21no—
56#15689761C2211yescharacteristic
57#15689760—21no—
58#15689758C2211yescharacteristic
59D4×C22⋊D47C2211yescharacteristic
60#15689745—21no—
61#15689745C2211yescharacteristic, complemented
62#15689744—21no—
63#15689744C2211yescharacteristic
64#15689744C2211yescharacteristic, complemented
65#15689742C2211yescharacteristic
66#15689710—21no—
67#15689708—21no—
68#15689705—21no—
69#15689686C2211yescharacteristic
70#15689683—21no—
71#15689677—21no—
72#15689677C2211yescharacteristic, complemented
73#15689671C2211yescharacteristic
74#15689651—21no—
75#15689651C2211yescharacteristic
76#124×D47C2211yescharacteristic
77#15689599C2211yescharacteristic, complemented
78C4×#10625354C2211yescharacteristic, complemented
79#15689516C2211yescharacteristic, complemented
80#15689514C2211yescharacteristic, complemented
81#15689510C2211yescharacteristic
82#15689509C2211yescharacteristic
83#15689505C2211yescharacteristic, complemented
84#15689504C2211yescharacteristic, complemented
85#15689484C2211yescharacteristic, complemented
86#15689482C2211yescharacteristic, complemented
87#15689481C2211yescharacteristic, complemented
88#15689481C2211yescharacteristic, complemented
89#15689469C2211yescharacteristic
90#15689468C2211yescharacteristic
91#15689464C2211yescharacteristic, complemented
92#15689463C2211yescharacteristic, complemented
93#15689447C2211yescharacteristic
94#15689445C2211yescharacteristic
95#15689445C2211yescharacteristic, complemented
96#15689445C2211yescharacteristic, complemented
97#15689419C2211yescharacteristic, complemented
98#15689419C2211yescharacteristic, complemented
99#15689418C2211yescharacteristic, complemented
100#15689416C2211yescharacteristic, complemented
101#15689408C2211yescharacteristic, complemented
102#15689404C2211yescharacteristic, complemented
103#15689404C2211yescharacteristic, complemented
104#15689401C2211yescharacteristic, complemented
105#15689401C2211yescharacteristic, complemented
106#15689401C2211yescharacteristic, complemented
107#15689372C2211yescharacteristic, complemented
108#15689369C2211yescharacteristic
109#15689369C2211yescharacteristic, complemented
110#15689368C2211yescharacteristic, complemented
111#15689368C2211yescharacteristic, complemented
112#15689366C2211yescharacteristic
113#15689366C2211yescharacteristic, complemented
114#15689366C2211yescharacteristic, complemented
115#15689364C2211yescharacteristic, complemented
116#15689361C2211yescharacteristic, complemented
117#15689359C2211yescharacteristic
118#15689358C2211yescharacteristic
119#15689347C2211yescharacteristic, complemented
120#15689347C2211yescharacteristic, complemented
121#15689346C2211yescharacteristic, complemented
122#15689346C2211yescharacteristic, complemented
123#15689345C2211yescharacteristic, complemented
124#15689345C2211yescharacteristic, complemented
125#15689344C2211yescharacteristic, complemented
126#15689343C2211yescharacteristic, complemented
127#15689343C2211yescharacteristic, complemented
128#15689342C2211yescharacteristic, complemented
129#15689341C2211yescharacteristic, complemented
130#15689340C2211yescharacteristic, complemented
131#15689339C2211yescharacteristic, complemented
132#15689339C2211yescharacteristic, complemented
133#15689337C2211yescharacteristic, complemented
134#15689335C2211yescharacteristic, complemented
135#15689326C2211yescharacteristic, complemented
136#15689326C2211yescharacteristic, complemented
137#15689322C2211yescharacteristic
138#15689321C2211yescharacteristic
139#15689320C2211yescharacteristic, complemented
140#15689315C2211yescharacteristic, complemented
141#15689285C2211yescharacteristic, complemented
142#15689282C2211yescharacteristic, complemented
143#15689280C2211yescharacteristic, complemented
144#15689279C2211yescharacteristic, complemented
145#15689277C2211yescharacteristic, complemented
146#15689277C2211yescharacteristic, complemented
147#15689275C2211yescharacteristic
148#15689274C2211yescharacteristic, complemented
149#15689272C2211yescharacteristic
150#15689272C2211yescharacteristic, complemented
151#15689269C2211yescharacteristic, complemented
152#15689268C2211yescharacteristic, complemented
153#15689267C2211yescharacteristic, complemented
154#15689267C2211yescharacteristic, complemented
155#15689262C2211yescharacteristic
156#15689260C2211yescharacteristic
157#15689258C2211yescharacteristic, complemented
158#15689257C2211yescharacteristic, complemented
159#15689252C2211yescharacteristic, complemented
160#15689250C2211yescharacteristic, complemented
161#15689232C2211yescharacteristic, complemented
162#15689232C2211yescharacteristic, complemented
163#15689228C2211yescharacteristic, complemented
164#15689227C2211yescharacteristic, complemented
165#15689224C2211yescharacteristic, complemented
166#15689224C2211yescharacteristic, complemented
167#15689224C2211yescharacteristic, complemented
168#15689221C2211yescharacteristic, complemented
169Q16×Dic47C2211yescharacteristic, complemented
170C4×#10625337C2211yescharacteristic, complemented
171#15689214C2211yescharacteristic, complemented
172C4×#10625336C2211yescharacteristic, complemented
173#15689200C2211yescharacteristic, complemented
174#15689199C2211yescharacteristic, complemented
175#15689194C2211yescharacteristic, complemented
176#15689194C2211yescharacteristic, complemented
177#15689193C2211yescharacteristic, complemented
178#15689192C2211yescharacteristic, complemented
179#15689184C2211yescharacteristic, complemented
180#15689183C2211yescharacteristic, complemented
181#15689179C2211yescharacteristic, complemented
182#15689148C2211yescharacteristic, complemented
183#15689145C2211yescharacteristic, complemented
184#15689130C2211yescharacteristic, complemented
185#15689126C2211yescharacteristic
186#15689126C2211yescharacteristic, complemented
187#15689116C2211yescharacteristic, complemented
188C2×#137×C47C2211yescharacteristic, complemented
189C22×SD16×C47C2211yescharacteristic, complemented
190C47×#535C2211yescharacteristic
191C47×#519C2211yescharacteristic, complemented
192C47×#464C2211yescharacteristic, complemented
193C47×#464C2211yescharacteristic, complemented
194C47×#464C2211yescharacteristic, complemented
195C47×#464C2211yescharacteristic, complemented
196C47×#460C2211yescharacteristic
197C47×#460C2211yescharacteristic
198C47×#460C2211yescharacteristic, complemented
199C47×#460C2211yescharacteristic, complemented
200C47×#424C2211yescharacteristic, complemented
201C47×#418C2211yescharacteristic, complemented
202C47×#416C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625352—21no—
205C2×#10625352C2311yescharacteristic
206C2×Q8×D47C2311yescharacteristic
207C2×Q8×D47C2311yescharacteristic
208C22×C22⋊D47—21no—
209C2×D4×D47—21no—
210C2×D4×D47C2311yescharacteristic
211C2×D4×D47C2311yescharacteristic
212#13094056—42no—
213#13094053—42no—
214#13094051—42no—
215C2×Dic188C2311yescharacteristic
216C2×#10625337C2311yescharacteristic
217C2×#10625337C2311yescharacteristic
218C2×#10625337C2311yescharacteristic
219C2×#10625325C2311yescharacteristic
220C2×#10625325C2311yescharacteristic
221C2×#10625335C2311yescharacteristic
222C2×#10625335C2311yescharacteristic
223C2×#10625335C2311yescharacteristic
224C2×#10625336C2311yescharacteristic
225C2×#10625336C2311yescharacteristic
226C2×#10625336C2311yescharacteristic
227SD16×D47—42no—
228C2×D376C2311yescharacteristic
229C2×#10625334C2311yescharacteristic
230C2×#10625334C2311yescharacteristic
231C2×#10625334C2311yescharacteristic
232C2×#10625324C2311yescharacteristic
233C2×#10625324C2311yescharacteristic
234C2×#10625324C2311yescharacteristic
235C2×C8×D47C2311yescharacteristic
236#13094024—21no—
237#13094024C2311yescharacteristic
238#13094024C2311yescharacteristic
239#13094023—21no—
240#13094023—21no—
241#13094023C2311yescharacteristic
242#13094023C2311yescharacteristic
243#13094022—21no—
244#13094022C2311yescharacteristic
245#13094020C2311yescharacteristic
246#13094019—21no—
247#13094019—21no—
248#13094019—21no—
249#13094019—21no—
250#13094019—21no—
251#13094019D411yescharacteristic
252#13094018—21no—
253#13094018—21no—
254#13094018—21no—
255#13094017—21no—
256#13094017—21no—
257#13094017D411yescharacteristic
258#13094014—21no—
259#13094014D411yescharacteristic
260#13094013—21no—
261#13094013C2311yescharacteristic
262#13094013C2311yescharacteristic
263#13094012—21no—
264#13094012—21no—
265#13094012—21no—
266#13094012—21no—
267#13094012C2311yescharacteristic
268#13094012C2311yescharacteristic
269#13094011—21no—
270#13094011—21no—
271#13094011—21no—
272#13094011C2311yescharacteristic
273#13094011C2311yescharacteristic
274#13094010—21no—
275#13094010—21no—
276#13094010—21no—
277#13094010—21no—
278#13094010—21no—
279#13094010—21no—
280#13094010—21no—
281#13094010—21no—
282#13094010—21no—
283#13094010D411yescharacteristic
284#13094009—21no—
285#13094009D411yescharacteristic
286#13094008—21no—
287#13094008—21no—
288#13094007—21no—
289#13094006—21no—
290#13094006—21no—
291#13094006—21no—
292#13094006D411yescharacteristic
293#13094005—21no—
294#13094005—21no—
295#13094005—21no—
296#13094004—21no—
297#13094004C2311yescharacteristic
298#13094003—21no—
299#13094003—21no—
300#13094003C2311yescharacteristic
301#13094003C2311yescharacteristic
302#13094002—21no—
303#13094002—21no—
304#13094002—21no—
305#13094002—21no—
306#13094002—21no—
307#13094002D411yescharacteristic
308#13094001—21no—
309#13094001—21no—
310#13094000—21no—
311#13094000—21no—
312#13094000C2311yescharacteristic
313#13094000C2311yescharacteristic
314#13094000C2311yescharacteristic
315#13093999—21no—
316#13093999C2311yescharacteristic
317#13093998—21no—
318#13093998C2311yescharacteristic
319#13093998C2311yescharacteristic
320#13093997—21no—
321#13093997—21no—
322#13093997D411yescharacteristic
323#13093996—21no—
324#13093996—21no—
325#13093996—21no—
326#13093996—21no—
327#13093996—21no—
328#13093995—21no—
329#13093995—21no—
330#13093995—21no—
331#13093995C2311yescharacteristic
332#13093995C2311yescharacteristic
333#13093995C2311yescharacteristic
334#13093993—21no—
335#13093993—21no—
336#13093992—21no—
337#13093992—21no—
338#13093992—21no—
339#13093992—21no—
340#13093992—21no—
341#13093992—21no—
342Q8×Dic47C2311yescharacteristic
343Q8×Dic47C2311yescharacteristic
344Q8×Dic47C2311yescharacteristic
345C4×Dic94—21no—
346C4×Dic94—21no—
347C4×Dic94—21no—
348C4×Dic94—21no—
349C4×Dic94—21no—
350C4×Dic94C2311yescharacteristic
351C4×Dic94C2311yescharacteristic
352C4×Dic94C2311yescharacteristic
353#13093989—21no—
354#13093989C2311yescharacteristic
355C4×D188—21no—
356C4×D188—21no—
357C4×D188C2311yescharacteristic
358C4×D188C2311yescharacteristic
359C4×D188C2311yescharacteristic
360D4×Dic47—21no—
361D4×Dic47—21no—
362D4×Dic47C2311yescharacteristic
363D4×Dic47C2311yescharacteristic
364D4×Dic47C2311yescharacteristic
365#13093986—21no—
366#13093986C2311yescharacteristic
367C4×C22⋊D47—21no—
368C4×C22⋊D47—21no—
369C4×C22⋊D47—21no—
370C4×C22⋊D47C2311yescharacteristic
371C4×C22⋊D47C2311yescharacteristic
372(C22⋊D47)⋊C4—21no—
373(C22⋊D47)⋊C4—21no—
374#13093982—21no—
375#13093982—21no—
376#13093982C2311yescharacteristic
377#13093982C2311yescharacteristic
378#13093981—21no—
379#13093981—21no—
380#13093981—21no—
381#13093981—21no—
382#13093981C2311yescharacteristic
383C2×C22⋊Dic47—21no—
384C2×(C2×D47)⋊C4—21no—
385C22⋊C4×D47—21no—
386C22⋊C4×D47—21no—
387C42×D47—21no—
388C42×D47C2311yescharacteristic
389#13093958C2311yescharacteristic
390#13093958C2311yescharacteristic
391#13093958C2311yescharacteristic
392#13093958C2311yescharacteristic
393#13093957C2311yescharacteristic
394#13093957C2311yescharacteristic
395#13093955C2311yescharacteristic
396#13093955C2311yescharacteristic
397C4⋊(C47⋊C8)C2311yescharacteristic
398C4⋊(C47⋊C8)C2311yescharacteristic
399Dic47⋊C8C2311yescharacteristic
400Dic47⋊C8C2311yescharacteristic
401Dic47⋊C8C2311yescharacteristic
402Dic47⋊C8C2311yescharacteristic
403#13093949C2311yescharacteristic
404#13093949C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093948C2311yescharacteristic
408#13093948C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093947C2311yescharacteristic
414#13093947C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093945C2311yescharacteristic
420#13093945C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093944C2311yescharacteristic
426#13093944C2311yescharacteristic
427C22⋊(C47⋊C8)C2311yescharacteristic
428C22⋊(C47⋊C8)C2311yescharacteristic
429(C2×D47)⋊C8C2311yescharacteristic
430(C2×D47)⋊C8C2311yescharacteristic
431(C2×D47)⋊C8C2311yescharacteristic
432(C2×D47)⋊C8C2311yescharacteristic
433#13093935C2311yescharacteristic
434#13093934C2311yescharacteristic
435#13093934C2311yescharacteristic
436#13093934C2311yescharacteristic
437C4×C47⋊C8C2311yescharacteristic
438C8×Dic47C2311yescharacteristic
439C2×#41×C47C2311yescharacteristic
440C22×Q8×C47C2311yescharacteristic
441C22×D4×C47C2311yescharacteristic
442#137×C47—42no—
443C2×Q16×C47C2311yescharacteristic
444C2×Q16×C47C2311yescharacteristic
445C2×SD16×C47—42no—
446C2×SD16×C47C2311yescharacteristic
447C2×SD16×C47C2311yescharacteristic
448C2×SD16×C47C2311yescharacteristic
449C2×SD16×C47C2311yescharacteristic
450C2×SD16×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×M16×C47C2311yescharacteristic
453C22×C8×C47C2311yescharacteristic
454#127×C47C2311yescharacteristic
455#127×C47C2311yescharacteristic
456#124×C47C2311yescharacteristic
457#124×C47C2311yescharacteristic
458#121×C47—21no—
459#121×C47—21no—
460#120×C47—21no—
461#120×C47—21no—
462C4×Q8×C47—21no—
463C4×Q8×C47—21no—
464C4×Q8×C47C2311yescharacteristic
465C4×Q8×C47C2311yescharacteristic
466C4×Q8×C47C2311yescharacteristic
467C4×Q8×C47C2311yescharacteristic
468#117×C47—21no—
469#117×C47—21no—
470#117×C47C2311yescharacteristic
471#117×C47C2311yescharacteristic
472C4⋊C8×C47C2311yescharacteristic
473C4⋊C8×C47C2311yescharacteristic
474C4⋊C8×C47C2311yescharacteristic
475C4⋊C8×C47C2311yescharacteristic
476#103×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484C24×C47—21no—
485C23×D47—21no—
486C23×D47—21no—
487#41×C47—41no—
488#41×C47—41no—
489C2×Q8×C47—21no—
490C2×Q8×C47—22no—
491C2×Q8×C47—41no—
492C2×Q8×C47C2411yescharacteristic
493C2×Q8×C47C2411yescharacteristic
494C2×Q8×C47C2411yescharacteristic
495C2×D4×C47—21no—
496C2×D4×C47—21no—
497C2×D4×C47—21no—
498C2×D4×C47—21no—
499C2×D4×C47—21no—
500C2×D4×C47—21no—
501C2×D4×C47—41no—
502C2×D4×C47—41no—
503C2×D4×C47C2411yescharacteristic
504C2×D4×C47C2411yescharacteristic
505C2×D4×C47C2411yescharacteristic
506C22×C4×C47—21no—
507C22×C4×C47—21no—
508C22×C4×C47C2411yescharacteristic
509C2×C22⋊D47—21no—
510C2×C22⋊D47—21no—
511C2×C22⋊D47—21no—
512C2×C22⋊D47—21no—
513C2×C22⋊D47—21no—
514C2×C22⋊D47—21no—
515C2×C22⋊D47—21no—
516C2×C22⋊D47—21no—
517C2×C22⋊D47—21no—
518C2×C22⋊D47—21no—
519C2×C22⋊D47—82no—
520C2×C22⋊D47C2×D411yescharacteristic
521C2×C22⋊D47C2×D411yescharacteristic
522C22×Dic47—21no—
523C22×Dic47—21no—
524C22×Dic47—21no—
525C22×Dic47—21no—
526#10625354—22no—
527#10625354—41no—
528Q8×D47—22no—
529Q8×D47—41no—
530Q8×D47—41no—
531Q8×D47—41no—
532#10625352—41no—
533#10625352—41no—
534#10625352—82no—
535D4×D47—41no—
536D4×D47—41no—
537D4×D47—41no—
538D4×D47—41no—
539D4×D47—82no—
540C2×D188—21no—
541C2×D188—21no—
542C2×D188C2×D411yescharacteristic
543C2×D188C2411yescharacteristic
544C2×D188C2411yescharacteristic
545C2×C4×D47—21no—
546C2×C4×D47—21no—
547C2×C4×D47—21no—
548C2×C4×D47—21no—
549C2×C4×D47—21no—
550C2×C4×D47—21no—
551C2×C4×D47C2×D411yescharacteristic
552C2×C4×D47C2×D411yescharacteristic
553C2×C4×D47C2411yescharacteristic
554C2×C4×D47C2411yescharacteristic
555C2×Dic94—21no—
556C2×Dic94—21no—
557C2×Dic94—21no—
558C2×Dic94—21no—
559C2×Dic94—21no—
560C2×Dic94—21no—
561C2×Dic94C2×D411yescharacteristic
562C2×Dic94C2411yescharacteristic
563C2×Dic94C2411yescharacteristic
564Q16×C47—22no—
565Q16×C47—41no—
566SD16×C47—22no—
567SD16×C47—22no—
568SD16×C47—22no—
569SD16×C47—41no—
570SD16×C47—41no—
571SD16×C47—41no—
572M16×C47—41no—
573C2×C8×C47—41no—
574C2×C8×C47C2411yescharacteristic
575C2×C8×C47C2411yescharacteristic
576C2×C8×C47C2411yescharacteristic
577C2×C8×C47C2411yescharacteristic
578C4⋊C4×C47—21no—
579C4⋊C4×C47—21no—
580C4⋊C4×C47—21no—
581C4⋊C4×C47—21no—
582C4⋊C4×C47C2×D411yescharacteristic
583C4⋊C4×C47C2×D411yescharacteristic
584C4⋊C4×C47C2411yescharacteristic
585C4⋊C4×C47C2411yescharacteristic
586C22⋊C4×C47—21no—
587C22⋊C4×C47—21no—
588C22⋊C4×C47—21no—
589C22⋊C4×C47—21no—
590C22⋊C4×C47—21no—
591C22⋊C4×C47C2×D411yescharacteristic
592C22⋊C4×C47C2×D411yescharacteristic
593C42×C47—21no—
594C42×C47—21no—
595C42×C47—21no—
596C42×C47—21no—
597C42×C47—21no—
598C42×C47C2411yescharacteristic
599C42×C47C2411yescharacteristic
600C22⋊Dic47—21no—
601C22⋊Dic47—21no—
602C22⋊Dic47—21no—
603C22⋊Dic47—21no—
604C22⋊Dic47—21no—
605C22⋊Dic47—21no—
606C22⋊Dic47—21no—
607C22⋊Dic47—21no—
608C22⋊Dic47—21no—
609C22⋊Dic47—21no—
610C22⋊Dic47—21no—
611C22⋊Dic47—21no—
612C22⋊Dic47C2×D411yescharacteristic
613C22⋊Dic47C2×D411yescharacteristic
614#10625337—22no—
615#10625337—41no—
616#10625337—41no—
617#10625336—22no—
618#10625336—41no—
619#10625336—41no—
620#10625335—41no—
621#10625335—41no—
622#10625335—41no—
623#10625334—41no—
624#10625334—41no—
625#10625334—41no—
626(C2×D47)⋊C4—21no—
627(C2×D47)⋊C4—21no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4—21no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4—21no—
638(C2×D47)⋊C4—21no—
639(C2×D47)⋊C4—21no—
640(C2×D47)⋊C4—21no—
641(C2×D47)⋊C4—21no—
642(C2×D47)⋊C4—21no—
643(C2×D47)⋊C4—21no—
644(C2×D47)⋊C4—21no—
645(C2×D47)⋊C4—21no—
646(C2×D47)⋊C4C2×D411yescharacteristic
647(C2×D47)⋊C4C2×D411yescharacteristic
648(C2×D47)⋊C4C2×D411yescharacteristic
649(C2×D47)⋊C4C2×D411yescharacteristic
650(C2×D47)⋊C4C2×D411yescharacteristic
651(C2×D47)⋊C4C2×D411yescharacteristic
652C4⋊Dic47—21no—
653C4⋊Dic47—21no—
654C4⋊Dic47—21no—
655C4⋊Dic47—21no—
656C4⋊Dic47—21no—
657C4⋊Dic47—21no—
658C4⋊Dic47C2×D411yescharacteristic
659C4⋊Dic47C2×D411yescharacteristic
660C4⋊Dic47C2411yescharacteristic
661C4⋊Dic47C2411yescharacteristic
662C4⋊Dic47C2411yescharacteristic
663C4⋊Dic47C2411yescharacteristic
664Dic47⋊C4—21no—
665Dic47⋊C4—21no—
666Dic47⋊C4—21no—
667Dic47⋊C4—21no—
668Dic47⋊C4—21no—
669Dic47⋊C4—21no—
670Dic47⋊C4—21no—
671Dic47⋊C4—21no—
672Dic47⋊C4—21no—
673Dic47⋊C4—21no—
674Dic47⋊C4—21no—
675Dic47⋊C4—21no—
676Dic47⋊C4C2×D411yescharacteristic
677Dic47⋊C4C2×D411yescharacteristic
678Dic47⋊C4C2×D411yescharacteristic
679Dic47⋊C4C2×D411yescharacteristic
680Dic47⋊C4C2×D411yescharacteristic
681Dic47⋊C4C2×D411yescharacteristic
682C4×Dic47—21no—
683C4×Dic47—21no—
684C4×Dic47—21no—
685C4×Dic47—21no—
686C4×Dic47—21no—
687C4×Dic47—21no—
688C4×Dic47—21no—
689C4×Dic47—21no—
690C4×Dic47C2×D411yescharacteristic
691C4×Dic47C2×D411yescharacteristic
692C4×Dic47C2411yescharacteristic
693C4×Dic47C2411yescharacteristic
694C2×C47⋊C8C2411yescharacteristic
695C2×C47⋊C8C2411yescharacteristic
696C2×C47⋊C8C2411yescharacteristic
697C2×C47⋊C8C2411yescharacteristic
698Dic188—41no—
699D376—41no—
700#10625325—41no—
701#10625325—41no—
702#10625324—41no—
703#10625324—41no—
704#10625324—41no—
705C8×D47—41no—
706C23×C47—21no—
707C23×C47—21no—
708C23×C47—21no—
709C23×C47—81no—
710C23×C47—81no—
711C23×C47—81no—
712C23×C47C22×D411yescharacteristic
713C22×D47—21no—
714C22×D47—21no—
715C22×D47—42no—
716C22×D47—81no—
717C22×D47—81no—
718C22×D47—81no—
719C22×D47—81no—
720C22×D47—81no—
721C22×D47C22×D411yescharacteristic
722C22×D47C22×D411yescharacteristic
723Q8×C47—21no—
724Q8×C47—21no—
725Q8×C47—21no—
726Q8×C47—21no—
727Q8×C47—21no—
728Q8×C47—42no—
729Q8×C47H(5,𝔽2)12yes—
730D4×C47—21no—
731D4×C47—21no—
732D4×C47—21no—
733D4×C47—21no—
734D4×C47—21no—
735D4×C47—21no—
736D4×C47—81no—
737D4×C47—81no—
738D4×C47—81no—
739D4×C47—81no—
740D4×C47—81no—
741D4×C47—81no—
742C2×C4×C47—21no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—21no—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—21no—
749C2×C4×C47—42no—
750C2×C4×C47—81no—
751C2×C4×C47C22×D411yescharacteristic
752C2×C4×C47C22×D411yescharacteristic
753C2×C4×C47C22×D411yescharacteristic
754C2×C4×C47C22×D411yescharacteristic
755C2×C4×C47C22×D411yescharacteristic
756C2×C4×C47C2511yescharacteristic
757C22⋊D47—41no—
758C22⋊D47—41no—
759C22⋊D47—42no—
760C22⋊D47—42no—
761C22⋊D47—81no—
762C22⋊D47—81no—
763C22⋊D47—81no—
764C22⋊D47—81no—
765C22⋊D47—81no—
766C22⋊D47—81no—
767C22⋊D47—81no—
768C22⋊D47—81no—
769C2×Dic47—21no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—81no—
776C2×Dic47—81no—
777C2×Dic47—81no—
778C2×Dic47—81no—
779C2×Dic47C22×D411yescharacteristic
780C2×Dic47C22×D411yescharacteristic
781C2×Dic47C22×D411yescharacteristic
782C2×Dic47C22×D411yescharacteristic
783C2×Dic47C22×D411yescharacteristic
784C2×Dic47C22×D411yescharacteristic
785D188—21no—
786D188—21no—
787D188—21no—
788D188—21no—
789D188—41no—
790D188—42no—
791D188—81no—
792C4×D47—21no—
793C4×D47—21no—
794C4×D47—21no—
795C4×D47—21no—
796C4×D47—41no—
797C4×D47—41no—
798C4×D47—42no—
799C4×D47—42no—
800C4×D47—42no—
801C4×D47—81no—
802C4×D47—81no—
803C4×D47—81no—
804Dic94—21no—
805Dic94—21no—
806Dic94—21no—
807Dic94—21no—
808Dic94—41no—
809Dic94—42no—
810Dic94—81no—
811Dic94—81no—
812Dic94—81no—
813Dic94—81no—
814Dic94—81no—
815C8×C47—21no—
816C8×C47—21no—
817C8×C47—21no—
818C8×C47—21no—
819C47⋊C8—21no—
820C47⋊C8—21no—
821C47⋊C8—21no—
822C47⋊C8—21no—
823#62092—471nomaximal, Sylow
824C22×C47—21no—
825C22×C47—21no—
826C22×C47—21no—
827C22×C47—41no—
828C22×C47—41no—
829C22×C47—41no—
830C22×C47—41no—
831C22×C47—41no—
832C22×C47—41no—
833C22×C47—41no—
834C22×C47—41no—
835C22×C47—41no—
836C22×C47—162no—
837C22×C47C23×D411yescharacteristic
838C2×D47—21no—
839C2×D47—21no—
840C2×D47—21no—
841C2×D47—21no—
842C2×D47—21no—
843C2×D47—21no—
844C2×D47—41no—
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—41no—
850C2×D47—162no—
851C2×D47—162no—
852C4×C47—21no—
853C4×C47—21no—
854C4×C47—21no—
855C4×C47—21no—
856C4×C47—22no—
857C4×C47—21no—
858C4×C47—41no—
859C4×C47—41no—
860C4×C47—41no—
861C4×C47—41no—
862C4×C47C2×H(5,𝔽2)11yescharacteristic
863C4×C47#58511yescharacteristic
864Dic47—21no—
865Dic47—21no—
866Dic47—21no—
867Dic47—21no—
868Dic47—21no—
869Dic47—21no—
870Dic47—41no—
871Dic47—41no—
872Dic47—41no—
873Dic47—41no—
874Dic47—41no—
875Dic47—41no—
876#3558—471no—
877#3518—471no—
878#3401—471no—
879#3401—471no—
880#3375—471no—
881#3375—471no—
882#3324—471no—
883#3324—471no—
884#3319—471no—
885#3319—471no—
886#3313—471no—
887#3313—471no—
888#3277—471no—
889#3277—471no—
890#3266—471no—
891#3266—471no—
892#3265—471no—
893#3265—471no—
894#3262—471no—
895#3262—471no—
896#3254—471no—
897#3224—471no—
898#3224—471no—
899#3215—471no—
900#3121—471no—
901#3121—471no—
902#3115—471no—
903#3043—471no—
904#3043D4711yescharacteristic, complemented
905#3040—471no—
906#2995—471no—
907C2×C47—41no—
908C2×C47—81no—
909C2×C47—81no—
910C2×C47—81no—
911C2×C47#348811yescharacteristic
912C2×C47#358511yescharacteristic
913C2×C47#358611yescharacteristic
914D47—41no—
915D47—41no—
916D47—81no—
917D47—81no—
918C2×#137—471no—
919C2×#137—471no—
920C2×#137C2×D4711yescharacteristic, complemented
921C2×AGL(1,ℤ/8)—471no—
922C22×SD16—471no—
923C22×SD16C2×D4711yescharacteristic, complemented
924#562—941no—
925H(3,𝔽4)—941no—
926#559—471no—
927#559—471no—
928Q82—471no—
929#556—471no—
930#556—471no—
931#556—471no—
932#556—941no—
933#556—941no—
934#556—941no—
935#555—471no—
936#555—941no—
937D4×Q8—471no—
938#548—471no—
939#548—471no—
940#548—471no—
941#548—471no—
942#546—471no—
943#546—471no—
944#546—941no—
945#546—941no—
946D42—471no—
947D42—471no—
948#542—471no—
949#542—471no—
950#542—471no—
951#542—471no—
952#542—941no—
953#542—941no—
954#538—941no—
955#538—941no—
956#538—941no—
957#535—471no—
958#535C2×D4711yescharacteristic
959#534—941no—
960#533—471no—
961#533—941no—
962#532—471no—
963#529—471no—
964#529—941no—
965C2×#124—471no—
966#519—471no—
967#519C2×D4711yescharacteristic, complemented
968C4×#41—471no—
969#497—471no—
970#497—471no—
971#496—471no—
972#496—471no—
973#495—471no—
974#495—471no—
975#489—471no—
976#489—471no—
977#489—471no—
978#489—471no—
979#486—471no—
980#486—471no—
981#485—471no—
982#485—471no—
983#482—471no—
984#482—471no—
985#482—471no—
986#482—471no—
987#477—471no—
988#477—471no—
989#477—471no—
990#477—471no—
991#475—471no—
992#474—471no—
993#474—471no—
994#474—471no—
995#474—471no—
996#474—471no—
997#468—471no—
998#468—471no—
999#468—471no—
1000#468—471no—
1001#468—471no—
1002#468—471no—
1003#468—471no—
1004#468—471no—
1005#467—471no—
1006#467—471no—
1007#466—471no—
1008#466—471no—
1009#464—471no—
1010#464—471no—
1011#464—471no—
1012#464—471no—
1013#464—471no—
1014#464—471no—
1015#464—471no—
1016#464—471no—
1017#464—471no—
1018#464—471no—
1019#464C2×D4711yescharacteristic, complemented
1020#464C2×D4711yescharacteristic, complemented
1021#464C2×D4711yescharacteristic, complemented
1022#464C2×D4711yescharacteristic, complemented
1023#463—471no—
1024#463—471no—
1025#463—471no—
1026#463—471no—
1027#463—471no—
1028#463—471no—
1029#461—471no—
1030#461—471no—
1031#460—471no—
1032#460—471no—
1033#460—471no—
1034#460C2×D4711yescharacteristic
1035#460C2×D4711yescharacteristic
1036#460C2×D4711yescharacteristic, complemented
1037#460C2×D4711yescharacteristic, complemented
1038#459—471no—
1039#452—471no—
1040#452—471no—
1041#451—471no—
1042#451—471no—
1043#451—471no—
1044#451—471no—
1045#450—471no—
1046#450—471no—
1047#450—471no—
1048#450—471no—
1049#449—471no—
1050#449—471no—
1051#449—471no—
1052#449—471no—
1053#448—471no—
1054#448—471no—
1055#447—471no—
1056#447—471no—
1057#446—471no—
1058#446—471no—
1059#442—471no—
1060#442—471no—
1061#441—471no—
1062#441—471no—
1063#440—471no—
1064#440—471no—
1065#440—471no—
1066#440—471no—
1067C4×Q16—471no—
1068C4×Q16—471no—
1069C4×SD16—471no—
1070C4×SD16—471no—
1071#436—471no—
1072#436—471no—
1073#435—471no—
1074#435—471no—
1075#435—471no—
1076#435—471no—
1077#433—471no—
1078#433—471no—
1079#432—471no—
1080#424—471no—
1081#424C2×D4711yescharacteristic, complemented
1082#423—471no—
1083#419—471no—
1084#418—471no—
1085#418—471no—
1086#418C2×D4711yescharacteristic, complemented
1087#416—471no—
1088#416C2×D4711yescharacteristic, complemented
1089C47#6209211yescharacteristic, complemented, Sylow
1090C2×#41—471no—
1091C2×#41—471no—
1092C2×#41—941no—
1093C2×#41C22×D4711yescharacteristic
1094C22×Q8—471no—
1095C22×Q8—471no—
1096C22×Q8C22×D4711yescharacteristic
1097C22×D4—471no—
1098C22×D4—471no—
1099C22×D4—941no—
1100C22×D4—941no—
1101C22×D4C22×D4711yescharacteristic
1102#137—42no—
1103#137—1882no—
1104#137—1882no—
1105AGL(1,ℤ/8)—1882no—
1106C2×Q16—471no—
1107C2×Q16—471no—
1108C2×Q16—471no—
1109C2×Q16—471no—
1110C2×Q16C22×D4711yescharacteristic
1111C2×Q16C22×D4711yescharacteristic
1112C2×SD16—42no—
1113C2×SD16—471no—
1114C2×SD16—471no—
1115C2×SD16—471no—
1116C2×SD16—471no—
1117C2×SD16—471no—
1118C2×SD16—471no—
1119C2×SD16—471no—
1120C2×SD16—471no—
1121C2×SD16—1882no—
1122C2×SD16C22×D4711yescharacteristic
1123C2×SD16C22×D4711yescharacteristic
1124C2×SD16C22×D4711yescharacteristic
1125C2×SD16C22×D4711yescharacteristic
1126C2×SD16C22×D4711yescharacteristic
1127C2×SD16C22×D4711yescharacteristic
1128C2×D8—471no—
1129C2×D8—471no—
1130C2×D8—471no—
1131C2×D8—471no—
1132C2×M16—471no—
1133C2×M16—471no—
1134C2×M16—471no—
1135C2×M16C22×D4711yescharacteristic
1136C22×C8—471no—
1137C22×C8C22×D4711yescharacteristic
1138C4⋊Q8—471no—
1139C4⋊Q8—471no—
1140C4⋊Q8—471no—
1141C4⋊Q8—471no—
1142C4⋊Q8—471no—
1143C4⋊Q8—941no—
1144C4⋊Q8—941no—
1145C4⋊Q8—941no—
1146C4⋊Q8—941no—
1147#127—471no—
1148#127C22×D4711yescharacteristic
1149#127C22×D4711yescharacteristic
1150#126—471no—
1151#126—471no—
1152#126—941no—
1153#126—941no—
1154#126—941no—
1155#126—941no—
1156#126—941no—
1157#126—941no—
1158#126—941no—
1159#126—941no—
1160#126—941no—
1161#126—941no—
1162#125—471no—
1163#125—941no—
1164#124—471no—
1165#124—471no—
1166#124—471no—
1167#124—471no—
1168#124—471no—
1169#124—471no—
1170#124—471no—
1171#124—941no—
1172#124—941no—
1173#124—941no—
1174#124—941no—
1175#124—941no—
1176#124—941no—
1177#124—941no—
1178#124—941no—
1179#124—941no—
1180#124—941no—
1181#124—941no—
1182#124—941no—
1183#124—941no—
1184#124—941no—
1185#124—941no—
1186#124—941no—
1187#124—941no—
1188#124C22×D4711yescharacteristic
1189#124C22×D4711yescharacteristic
1190#123—471no—
1191#123—471no—
1192#123—941no—
1193#123—941no—
1194#123—941no—
1195#123—941no—
1196#123—941no—
1197#123—941no—
1198#123—941no—
1199#123—941no—
1200#123—941no—
1201#123—941no—
1202C22⋊Q8—471no—
1203C22⋊Q8—471no—
1204C22⋊Q8—471no—
1205C22⋊Q8—471no—
1206C22⋊Q8—471no—
1207C22⋊Q8—471no—
1208C22⋊Q8—471no—
1209C22⋊Q8—941no—
1210C22⋊Q8—941no—
1211C22⋊Q8—941no—
1212C22⋊Q8—941no—
1213C22⋊Q8—941no—
1214C22⋊Q8—941no—
1215C22⋊Q8—941no—
1216C22⋊Q8—941no—
1217C22⋊Q8—941no—
1218C22⋊Q8—941no—
1219C22⋊Q8—941no—
1220C22⋊Q8—941no—
1221#121—21no—
1222#121—21no—
1223#121—471no—
1224#121—471no—
1225#121—471no—
1226#121—471no—
1227#121—471no—
1228#121—471no—
1229#121—471no—
1230#121—941no—
1231#121—941no—
1232#121—941no—
1233#121—941no—
1234#121—941no—
1235#121—941no—
1236#121—941no—
1237#121—941no—
1238#121—941no—
1239#121—941no—
1240#121—941no—
1241#121—941no—
1242#120—21no—
1243#120—21no—
1244#120—941no—
1245#120—941no—
1246#120—941no—
1247#120—941no—
1248#120—941no—
1249#120—941no—
1250#120—941no—
1251#120—941no—
1252C4×Q8—21no—
1253C4×Q8—21no—
1254C4×Q8—471no—
1255C4×Q8—471no—
1256C4×Q8—471no—
1257C4×Q8—471no—
1258C4×Q8—471no—
1259C4×Q8—471no—
1260C4×Q8—471no—
1261C4×Q8—941no—
1262C4×Q8—941no—
1263C4×Q8—941no—
1264C4×Q8—941no—
1265C4×Q8—941no—
1266C4×Q8—941no—
1267C4×Q8C22×D4711yescharacteristic
1268C4×Q8C22×D4711yescharacteristic
1269C4×Q8C22×D4711yescharacteristic
1270C4×Q8C22×D4711yescharacteristic
1271C4×D4—471no—
1272C4×D4—471no—
1273C4×D4—471no—
1274C4×D4—471no—
1275C4×D4—471no—
1276C4×D4—471no—
1277C4×D4—471no—
1278C4×D4—471no—
1279C4×D4—471no—
1280C4×D4—941no—
1281C4×D4—941no—
1282C4×D4—941no—
1283C4×D4—941no—
1284C4×D4—941no—
1285C4×D4—941no—
1286C4×D4—941no—
1287C4×D4—941no—
1288C4×D4—941no—
1289C4×D4—941no—
1290#117—21no—
1291#117—21no—
1292#117—471no—
1293#117—471no—
1294#117—471no—
1295#117—941no—
1296#117—941no—
1297#117—941no—
1298#117—941no—
1299#117—941no—
1300#117—941no—
1301#117C22×D4711yescharacteristic
1302#117C22×D4711yescharacteristic
1303C2×C22⋊C4—941no—
1304C2×C22⋊C4—941no—
1305C2×C22⋊C4—941no—
1306C2×C22⋊C4—941no—
1307C2×C42—471no—
1308C2×C42—941no—
1309#107—471no—
1310#107—471no—
1311#107—471no—
1312#107—471no—
1313#107—471no—
1314#107—471no—
1315#106—471no—
1316#106—471no—
1317C4⋊C8—471no—
1318C4⋊C8—471no—
1319C4⋊C8—471no—
1320C4⋊C8—471no—
1321C4⋊C8—471no—
1322C4⋊C8—471no—
1323C4⋊C8C22×D4711yescharacteristic
1324C4⋊C8C22×D4711yescharacteristic
1325C4⋊C8C22×D4711yescharacteristic
1326C4⋊C8C22×D4711yescharacteristic
1327#103—471no—
1328#103—471no—
1329#103—471no—
1330#103—471no—
1331#103—471no—
1332#103—471no—
1333#103—471no—
1334#103—471no—
1335#103—471no—
1336#103—471no—
1337#103—471no—
1338#103—471no—
1339#103C22×D4711yescharacteristic
1340#103C22×D4711yescharacteristic
1341#102—471no—
1342#102—471no—
1343#102—471no—
1344#102—471no—
1345#102—471no—
1346#102—471no—
1347#102—471no—
1348#102—471no—
1349#102—471no—
1350#102—471no—
1351#102—471no—
1352#102—471no—
1353#102C22×D4711yescharacteristic
1354#102C22×D4711yescharacteristic
1355#102C22×D4711yescharacteristic
1356#102C22×D4711yescharacteristic
1357#102C22×D4711yescharacteristic
1358#102C22×D4711yescharacteristic
1359C22⋊C8—471no—
1360C22⋊C8—471no—
1361C22⋊C8—471no—
1362C22⋊C8—471no—
1363C22⋊C8—471no—
1364C22⋊C8—471no—
1365#97—471no—
1366#97—471no—
1367#97—471no—
1368#97—471no—
1369C4×C8—471no—
1370C4×C8—471no—
1371C24—21no—
1372C24—941no—
1373C24—941no—
1374#41—41no—
1375#41—41no—
1376#41—942no—
1377#41—3762no—
1378#41—1881no—
1379#41—1881no—
1380#41—1881no—
1381C2×Q8—21no—
1382C2×Q8—22no—
1383C2×Q8—41no—
1384C2×Q8—471no—
1385C2×Q8—471no—
1386C2×Q8—471no—
1387C2×Q8—941no—
1388C2×Q8—941no—
1389C2×Q8—941no—
1390C2×Q8—941no—
1391C2×Q8—941no—
1392C2×Q8—941no—
1393C2×Q8—942no—
1394C2×Q8—1881no—
1395C2×Q8—1881no—
1396C2×Q8—1881no—
1397C2×Q8C23×D4711yescharacteristic
1398C2×Q8C23×D4711yescharacteristic
1399C2×Q8C23×D4711yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—471no—
1409C2×D4—471no—
1410C2×D4—471no—
1411C2×D4—471no—
1412C2×D4—471no—
1413C2×D4—941no—
1414C2×D4—941no—
1415C2×D4—941no—
1416C2×D4—941no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—941no—
1423C2×D4—941no—
1424C2×D4—941no—
1425C2×D4—3762no—
1426C2×D4—3762no—
1427C2×D4—1881no—
1428C2×D4—1881no—
1429C2×D4—1881no—
1430C2×D4—1881no—
1431C2×D4C23×D4711yescharacteristic
1432C2×D4C23×D4711yescharacteristic
1433C2×D4C23×D4711yescharacteristic
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×C4C23×D4711yescharacteristic
1451Q16—22no—
1452Q16—41no—
1453Q16—942no—
1454Q16—1881no—
1455Q16—1881no—
1456Q16—1881no—
1457SD16—22no—
1458SD16—22no—
1459SD16—22no—
1460SD16—41no—
1461SD16—41no—
1462SD16—41no—
1463SD16—942no—
1464SD16—1881no—
1465SD16—1881no—
1466SD16—1881no—
1467SD16—1881no—
1468SD16—1881no—
1469SD16—1881no—
1470SD16—1881no—
1471D8—1881no—
1472D8—1881no—
1473D8—1881no—
1474D8—1881no—
1475M16—41no—
1476M16—1881no—
1477M16—1881no—
1478M16—1881no—
1479C2×C8—41no—
1480C2×C8—471no—
1481C2×C8—471no—
1482C2×C8—471no—
1483C2×C8—471no—
1484C2×C8—1881no—
1485C2×C8C23×D4711yescharacteristic
1486C2×C8C23×D4711yescharacteristic
1487C2×C8C23×D4711yescharacteristic
1488C2×C8C23×D4711yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—471no—
1494C4⋊C4—471no—
1495C4⋊C4—471no—
1496C4⋊C4—471no—
1497C4⋊C4—471no—
1498C4⋊C4—471no—
1499C4⋊C4—471no—
1500C4⋊C4—471no—
1501C4⋊C4—471no—
1502C4⋊C4—471no—
1503C4⋊C4—471no—
1504C4⋊C4—471no—
1505C4⋊C4—941no—
1506C4⋊C4—941no—
1507C4⋊C4—941no—
1508C4⋊C4—941no—
1509C4⋊C4—941no—
1510C4⋊C4—941no—
1511C4⋊C4—941no—
1512C4⋊C4—941no—
1513C4⋊C4—941no—
1514C4⋊C4—941no—
1515C4⋊C4—941no—
1516C4⋊C4—941no—
1517C4⋊C4—941no—
1518C4⋊C4—941no—
1519C4⋊C4—941no—
1520C4⋊C4—941no—
1521C4⋊C4—941no—
1522C4⋊C4—941no—
1523C4⋊C4D4×D4711yescharacteristic
1524C4⋊C4D4×D4711yescharacteristic
1525C4⋊C4C23×D4711yescharacteristic
1526C4⋊C4C23×D4711yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—471no—
1533C22⋊C4—471no—
1534C22⋊C4—471no—
1535C22⋊C4—471no—
1536C22⋊C4—471no—
1537C22⋊C4—471no—
1538C22⋊C4—471no—
1539C22⋊C4—471no—
1540C22⋊C4—941no—
1541C22⋊C4—941no—
1542C22⋊C4—941no—
1543C22⋊C4—941no—
1544C22⋊C4—941no—
1545C22⋊C4—941no—
1546C22⋊C4—941no—
1547C22⋊C4—941no—
1548C22⋊C4—941no—
1549C22⋊C4—941no—
1550C22⋊C4—941no—
1551C22⋊C4—941no—
1552C22⋊C4—941no—
1553C22⋊C4—941no—
1554C22⋊C4—941no—
1555C22⋊C4—941no—
1556C22⋊C4—941no—
1557C22⋊C4—941no—
1558C22⋊C4—941no—
1559C22⋊C4—941no—
1560C22⋊C4—941no—
1561C22⋊C4—941no—
1562C22⋊C4—941no—
1563C22⋊C4—941no—
1564C22⋊C4—941no—
1565C22⋊C4—941no—
1566C22⋊C4—941no—
1567C22⋊C4—941no—
1568C22⋊C4—941no—
1569C22⋊C4—941no—
1570C22⋊C4—941no—
1571C22⋊C4—941no—
1572C22⋊C4D4×D4711yescharacteristic
1573C22⋊C4D4×D4711yescharacteristic
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—21no—
1579C42—471no—
1580C42—471no—
1581C42—471no—
1582C42—471no—
1583C42—941no—
1584C42—941no—
1585C42—941no—
1586C42—941no—
1587C42—941no—
1588C42—941no—
1589C42—941no—
1590C42—941no—
1591C42C23×D4711yescharacteristic
1592C42C23×D4711yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—81no—
1597C23—81no—
1598C23—81no—
1599C23—471no—
1600C23—471no—
1601C23—941no—
1602C23—941no—
1603C23—3761no—
1604C23—3761no—
1605C23—3761no—
1606C23—3761no—
1607C23—3761no—
1608C23—1882no—
1609C23C2×D4×D4711yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—42no—
1616Q8—941no—
1617Q8—941no—
1618Q8—941no—
1619Q8—941no—
1620Q8—3761no—
1621Q8—3761no—
1622Q8—3761no—
1623Q8—3761no—
1624Q8—3761no—
1625Q8—1881no—
1626Q8—1882no—
1627Q8#1309406912yes—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—941no—
1641D4—941no—
1642D4—941no—
1643D4—941no—
1644D4—3761no—
1645D4—3761no—
1646D4—3761no—
1647D4—3761no—
1648D4—3761no—
1649D4—3761no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—1881no—
1654D4—1882no—
1655D4—1881no—
1656D4—1881no—
1657D4—1882no—
1658D4—1882no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—42no—
1667C2×C4—81no—
1668C2×C4—471no—
1669C2×C4—471no—
1670C2×C4—471no—
1671C2×C4—471no—
1672C2×C4—471no—
1673C2×C4—471no—
1674C2×C4—941no—
1675C2×C4—941no—
1676C2×C4—941no—
1677C2×C4—941no—
1678C2×C4—941no—
1679C2×C4—941no—
1680C2×C4—941no—
1681C2×C4—941no—
1682C2×C4—941no—
1683C2×C4—941no—
1684C2×C4—3761no—
1685C2×C4—3761no—
1686C2×C4—3761no—
1687C2×C4—3761no—
1688C2×C4—3761no—
1689C2×C4—3761no—
1690C2×C4—3761no—
1691C2×C4—1881no—
1692C2×C4—1881no—
1693C2×C4—1882no—
1694C2×C4—1882no—
1695C2×C4—1882no—
1696C2×C4C2×D4×D4711yescharacteristic
1697C2×C4C2×D4×D4711yescharacteristic
1698C2×C4C2×D4×D4711yescharacteristic
1699C2×C4C2×D4×D4711yescharacteristic
1700C2×C4C2×D4×D4711yescharacteristic
1701C2×C4C24×D4711yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—941no—
1707C8—941no—
1708C8—941no—
1709C8—941no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—162no—
1723C22—941no—
1724C22—941no—
1725C22—941no—
1726C22—941no—
1727C22—941no—
1728C22—941no—
1729C22—1881no—
1730C22—1881no—
1731C22—1881no—
1732C22—1881no—
1733C22—1881no—
1734C22—1881no—
1735C22—7522no—
1736C22—7522no—
1737C22C22×D4×D4711yescharacteristic
1738C4—21no—
1739C4—22no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—941no—
1749C4—941no—
1750C4—941no—
1751C4—941no—
1752C4—941no—
1753C4—941no—
1754C4—1881no—
1755C4—1881no—
1756C4—1881no—
1757C4—1881no—
1758C4—1881no—
1759C4—1881no—
1760C4C2×#1309406911yescharacteristic
1761C4#1568995911yescharacteristic
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—81no—
1766C2—3761no—
1767C2—3761no—
1768C2—1881no—
1769C2—1881no—
1770C2#2025705311yescharacteristic
1771C2#2025816611yescharacteristic
1772C2#2025817011yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3043C2
socleC22×C47C23×D4
hypercenter#3043D47
hypocenterC47#62092
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #117 ◁ #3043

Complements

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

NH ≅ G/Ntype
1. #20257906C2semidirect
2. #20257399C2semidirect
3. #20256458C2semidirect
4. #20256447C2semidirect
5. #20256206C2semidirect
6. #20256197C2semidirect
7. #20255622C2semidirect
8. #20255615C2semidirect
9. #20255545C2semidirect
10. #20255540C2semidirect
11. #20255461C2semidirect
12. #20255450C2semidirect
13. #20255040C2semidirect
14. #20255039C2semidirect
15. #20254898C2semidirect
16. #20254892C2semidirect
17. #20254883C2semidirect
18. #20254878C2semidirect
19. #20254849C2semidirect
20. #20254847C2semidirect
21. #20254773C2semidirect
22. #20254487C2semidirect
23. #20254482C2semidirect
24. #20254389C2semidirect
25. #20253617C2semidirect
26. #20253616C2semidirect
27. #20253538C2semidirect
28. #20252904C2semidirect
29. #20252879C2semidirect
30. #20252556C2semidirect
31. C47×#3043C2semidirect
32. C2×#13094056C22semidirect
33. C2×#13094053C22semidirect
35. C2×SD16×D47C22semidirect
40. Q8×Dic94C22semidirect
42. #15689846C22semidirect
44. #15689845C22semidirect
46. #15689841C22semidirect
48. #15689836C22semidirect
49. Q8×C22⋊D47C22semidirect
50. #15689785C22semidirect
51. #15689784C22semidirect
61. #15689745C22semidirect
64. #15689744C22semidirect
72. #15689677C22semidirect
77. #15689599C22semidirect
78. C4×#10625354C22semidirect
79. #15689516C22semidirect
80. #15689514C22semidirect
83. #15689505C22semidirect
84. #15689504C22semidirect
85. #15689484C22semidirect
86. #15689482C22semidirect
87. #15689481C22semidirect
88. #15689481C22semidirect
91. #15689464C22semidirect
92. #15689463C22semidirect
95. #15689445C22semidirect
96. #15689445C22semidirect
97. #15689419C22semidirect
98. #15689419C22semidirect
99. #15689418C22semidirect
100. #15689416C22semidirect
101. #15689408C22semidirect
102. #15689404C22semidirect
103. #15689404C22semidirect
104. #15689401C22semidirect
105. #15689401C22semidirect
106. #15689401C22semidirect
107. #15689372C22semidirect
109. #15689369C22semidirect
110. #15689368C22semidirect
111. #15689368C22semidirect
113. #15689366C22semidirect
114. #15689366C22semidirect
115. #15689364C22semidirect
116. #15689361C22semidirect
119. #15689347C22semidirect
120. #15689347C22semidirect
121. #15689346C22semidirect
122. #15689346C22semidirect
123. #15689345C22semidirect
124. #15689345C22semidirect
125. #15689344C22semidirect
126. #15689343C22semidirect
127. #15689343C22semidirect
128. #15689342C22semidirect
129. #15689341C22semidirect
130. #15689340C22semidirect
131. #15689339C22semidirect
132. #15689339C22semidirect
133. #15689337C22semidirect
134. #15689335C22semidirect
135. #15689326C22semidirect
136. #15689326C22semidirect
139. #15689320C22semidirect
140. #15689315C22semidirect
141. #15689285C22semidirect
142. #15689282C22semidirect
143. #15689280C22semidirect
144. #15689279C22semidirect
145. #15689277C22semidirect
146. #15689277C22semidirect
148. #15689274C22semidirect
150. #15689272C22semidirect
151. #15689269C22semidirect
152. #15689268C22semidirect
153. #15689267C22semidirect
154. #15689267C22semidirect
157. #15689258C22semidirect
158. #15689257C22semidirect
159. #15689252C22semidirect
160. #15689250C22semidirect
161. #15689232C22semidirect
162. #15689232C22semidirect
163. #15689228C22semidirect
164. #15689227C22semidirect
165. #15689224C22semidirect
166. #15689224C22semidirect
167. #15689224C22semidirect
168. #15689221C22semidirect
169. Q16×Dic47C22semidirect
170. C4×#10625337C22semidirect
171. #15689214C22semidirect
172. C4×#10625336C22semidirect
173. #15689200C22semidirect
174. #15689199C22semidirect
175. #15689194C22semidirect
176. #15689194C22semidirect
177. #15689193C22semidirect
178. #15689192C22semidirect
179. #15689184C22semidirect
180. #15689183C22semidirect
181. #15689179C22semidirect
182. #15689148C22semidirect
183. #15689145C22semidirect
184. #15689130C22semidirect
186. #15689126C22semidirect
187. #15689116C22semidirect
188. C2×#137×C47C22semidirect
189. C22×SD16×C47C22semidirect
191. C47×#519C22semidirect
192. C47×#464C22semidirect
193. C47×#464C22semidirect
194. C47×#464C22semidirect
195. C47×#464C22semidirect
198. C47×#460C22semidirect
199. C47×#460C22semidirect
200. C47×#424C22semidirect
201. C47×#418C22semidirect
202. C47×#416C22semidirect
904. #3043D47semidirect
920. C2×#137C2×D47semidirect
923. C22×SD16C2×D47semidirect
967. #519C2×D47semidirect
1019. #464C2×D47semidirect
1020. #464C2×D47semidirect
1021. #464C2×D47semidirect
1022. #464C2×D47semidirect
1036. #460C2×D47semidirect
1037. #460C2×D47semidirect
1081. #424C2×D47semidirect
1086. #418C2×D47semidirect
1088. #416C2×D47semidirect
1089. C47#62092semidirect

Maximal subgroups

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

subgroupindex
#202579062
#202573992
#202564582
#202564472
#202562062
#202561972
#202556222
#202556152
#202555452
#202555402
#202554612
#202554502
#202550402
#202550392
#202548982
#202548922
#202548832
#202548782
#202548492
#202548472
#202547732
#202544872
#202544822
#202543892
#202536172
#202536162
#202535382
#202529042
#202528792
#202525562
C47×#30432
#6209247