Finite Group Databasebeta

← #27103299

Subgroups — #27103299

Order 12032.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257816C211yesmaximal, characteristic, complemented
2#20257144C211yesmaximal, characteristic, complemented
3#20255600C211yesmaximal, characteristic, complemented
4#20255592C211yesmaximal, characteristic, complemented
5#20255528C211yesmaximal, characteristic, complemented
6#20255478C211yesmaximal, characteristic, complemented
7#20255361C211yesmaximal, characteristic, complemented
8#20255234C211yesmaximal, characteristic, complemented
9#20255226C211yesmaximal, characteristic, complemented
10#20255102C211yesmaximal, characteristic, complemented
11#20255066C211yesmaximal, characteristic, complemented
12#20255023C211yesmaximal, characteristic, complemented
13#20254996C211yesmaximal, characteristic, complemented
14#20254945C211yesmaximal, characteristic, complemented
15#20254918C211yesmaximal, characteristic, complemented
16#20254878C211yesmaximal, characteristic, complemented
17#20254864C211yesmaximal, characteristic, complemented
18#20254426C211yesmaximal, characteristic, complemented
19#20254368C211yesmaximal, characteristic, complemented
20#20254293C211yesmaximal, characteristic, complemented
21#20254288C211yesmaximal, characteristic, complemented
22#20254265C211yesmaximal, characteristic, complemented
23#20254238C211yesmaximal, characteristic, complemented
24#20253530C211yesmaximal, characteristic, complemented
25#20253440C211yesmaximal, characteristic, complemented
26#20252697C211yesmaximal, characteristic, complemented
27#20252693C211yesmaximal, characteristic, complemented
28#20252660C211yesmaximal, characteristic, complemented
29#20252657C211yesmaximal, characteristic, complemented
30#20252460C211yesmaximal, characteristic, complemented
31C47×#3310C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic
33C2×#13094069C2211yescharacteristic, complemented
34C2×#13094053C2211yescharacteristic, complemented
35C2×#13094052C2211yescharacteristic, complemented
36C2×#13094051C2211yescharacteristic, complemented
37C2×#13094050C2211yescharacteristic, complemented
38C2×#13094046C2211yescharacteristic, complemented
39C2×#13094045C2211yescharacteristic, complemented
40C2×SD16×D47C2211yescharacteristic, complemented
41C22×#10625334C2211yescharacteristic, complemented
42#15689877—21no—
43#15689863—21no—
44#15689836—21no—
45#15689826C2211yescharacteristic, complemented
46#15689821C2211yescharacteristic, complemented
47#15689812C2211yescharacteristic, complemented
48#15689798—21no—
49#15689785C2211yescharacteristic, complemented
50#15689783C2211yescharacteristic, complemented
51#15689778C2211yescharacteristic
52#15689777C2211yescharacteristic, complemented
53#15689773—21no—
54#15689770C2211yescharacteristic
55#15689770C2211yescharacteristic, complemented
56#15689769C2211yescharacteristic, complemented
57#15689767C2211yescharacteristic
58#15689767C2211yescharacteristic, complemented
59#15689764C2211yescharacteristic, complemented
60#15689760—21no—
61#15689760—21no—
62#15689758C2211yescharacteristic, complemented
63D4×C22⋊D47—21no—
64#15689729—21no—
65#15689728—21no—
66#15689712—21no—
67#15689709—21no—
68#15689704C2211yescharacteristic, complemented
69#15689703C2211yescharacteristic, complemented
70#15689702C2211yescharacteristic
71#15689702C2211yescharacteristic, complemented
72#15689696C2211yescharacteristic, complemented
73#15689692C2211yescharacteristic, complemented
74#15689683—21no—
75#15689683—21no—
76#15689671C2211yescharacteristic, complemented
77#15689670C2211yescharacteristic
78#15689660C2211yescharacteristic, complemented
79#15689658C2211yescharacteristic, complemented
80C2×#13093995—21no—
81#121×D47—21no—
82C4×D4×D47C2211yescharacteristic, complemented
83#15689517C2211yescharacteristic, complemented
84#15689510C2211yescharacteristic, complemented
85#15689504C2211yescharacteristic, complemented
86#15689504C2211yescharacteristic, complemented
87#15689493C2211yescharacteristic, complemented
88#15689476C2211yescharacteristic, complemented
89#15689476C2211yescharacteristic, complemented
90#15689466C2211yescharacteristic, complemented
91#15689464C2211yescharacteristic, complemented
92#15689460C2211yescharacteristic, complemented
93#15689458C2211yescharacteristic, complemented
94#15689455C2211yescharacteristic, complemented
95#15689452C2211yescharacteristic, complemented
96#15689446C2211yescharacteristic, complemented
97#15689443C2211yescharacteristic, complemented
98#15689440C2211yescharacteristic, complemented
99#15689438C2211yescharacteristic, complemented
100#15689426C2211yescharacteristic, complemented
101#15689425C2211yescharacteristic, complemented
102#15689420C2211yescharacteristic, complemented
103#15689381C2211yescharacteristic, complemented
104#15689379C2211yescharacteristic, complemented
105#15689375C2211yescharacteristic, complemented
106#15689374C2211yescharacteristic, complemented
107#15689370C2211yescharacteristic, complemented
108#15689370C2211yescharacteristic, complemented
109#15689368C2211yescharacteristic, complemented
110#15689365C2211yescharacteristic, complemented
111#15689362C2211yescharacteristic, complemented
112#15689358C2211yescharacteristic, complemented
113#15689358C2211yescharacteristic, complemented
114#15689353C2211yescharacteristic, complemented
115#15689352C2211yescharacteristic, complemented
116#15689350C2211yescharacteristic, complemented
117#15689344C2211yescharacteristic, complemented
118#15689344C2211yescharacteristic, complemented
119#15689341C2211yescharacteristic, complemented
120#15689340C2211yescharacteristic, complemented
121#15689339C2211yescharacteristic, complemented
122#15689338C2211yescharacteristic, complemented
123#15689337C2211yescharacteristic, complemented
124#15689337C2211yescharacteristic, complemented
125#15689333C2211yescharacteristic, complemented
126#15689329C2211yescharacteristic, complemented
127#15689315C2211yescharacteristic, complemented
128#15689288C2211yescharacteristic, complemented
129#15689287C2211yescharacteristic, complemented
130#15689287C2211yescharacteristic, complemented
131#15689286C2211yescharacteristic, complemented
132#15689286C2211yescharacteristic, complemented
133#15689286C2211yescharacteristic, complemented
134#15689283C2211yescharacteristic, complemented
135#15689283C2211yescharacteristic, complemented
136#15689282C2211yescharacteristic, complemented
137#15689282C2211yescharacteristic, complemented
138#15689280C2211yescharacteristic, complemented
139#15689276C2211yescharacteristic, complemented
140#15689275C2211yescharacteristic, complemented
141#15689275C2211yescharacteristic, complemented
142#15689274C2211yescharacteristic, complemented
143#15689272C2211yescharacteristic, complemented
144#15689270C2211yescharacteristic, complemented
145#15689269C2211yescharacteristic, complemented
146#15689269C2211yescharacteristic, complemented
147#15689269C2211yescharacteristic, complemented
148#15689269C2211yescharacteristic, complemented
149#15689269C2211yescharacteristic, complemented
150#15689269C2211yescharacteristic, complemented
151#15689269C2211yescharacteristic, complemented
152#15689267C2211yescharacteristic, complemented
153#15689266C2211yescharacteristic, complemented
154#15689260C2211yescharacteristic, complemented
155#15689258C2211yescharacteristic
156#15689258C2211yescharacteristic
157#15689258C2211yescharacteristic, complemented
158#15689258C2211yescharacteristic, complemented
159#15689258C2211yescharacteristic, complemented
160#15689257C2211yescharacteristic, complemented
161#15689256C2211yescharacteristic, complemented
162#15689236C2211yescharacteristic, complemented
163#15689233C2211yescharacteristic, complemented
164#15689221C2211yescharacteristic, complemented
165#15689214C2211yescharacteristic, complemented
166#15689210C2211yescharacteristic, complemented
167#15689205C2211yescharacteristic, complemented
168#15689203C2211yescharacteristic, complemented
169#15689199C2211yescharacteristic, complemented
170#15689198C2211yescharacteristic, complemented
171#15689196C2211yescharacteristic, complemented
172#15689195C2211yescharacteristic, complemented
173#15689193C2211yescharacteristic, complemented
174C8×C22⋊D47C2211yescharacteristic, complemented
175(C22⋊D47)⋊C8C2211yescharacteristic, complemented
176#15689178C2211yescharacteristic, complemented
177#15689175C2211yescharacteristic, complemented
178#15689126C2211yescharacteristic, complemented
179#15689122C2211yescharacteristic, complemented
180#15689121C2211yescharacteristic, complemented
181#15689117C2211yescharacteristic, complemented
182#15689116C2211yescharacteristic, complemented
183#102×D47C2211yescharacteristic, complemented
184#15689091C2211yescharacteristic, complemented
185#15689089C2211yescharacteristic, complemented
186#15689088C2211yescharacteristic, complemented
187#15689088C2211yescharacteristic, complemented
188C47×#552C2211yescharacteristic, complemented
189D42×C47C2211yescharacteristic
190C47×#490C2211yescharacteristic, complemented
191C47×#482C2211yescharacteristic, complemented
192C47×#480C2211yescharacteristic, complemented
193C47×#478C2211yescharacteristic, complemented
194C47×#468C2211yescharacteristic, complemented
195C47×#465C2211yescharacteristic, complemented
196C47×#460C2211yescharacteristic, complemented
197C47×#450C2211yescharacteristic, complemented
198C47×#450C2211yescharacteristic, complemented
199C47×#440C2211yescharacteristic, complemented
200C47×#435C2211yescharacteristic, complemented
201C47×#418C2211yescharacteristic, complemented
202C2×#102×C47C2211yescharacteristic, complemented
203#13094069—42no—
204#13094069—42no—
205#13094069—42no—
206#13094069—42no—
207C2×#10625354C2311yescharacteristic
208C2×#10625350C2311yescharacteristic
209C2×#10625350C2311yescharacteristic
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625352—21no—
214C2×#10625352—21no—
215C2×#10625352C2311yescharacteristic
216C2×#10625352C2311yescharacteristic
217C2×#10625352C2311yescharacteristic
218C2×#10625352C2311yescharacteristic
219C2×Q8×D47C2311yescharacteristic
220C22×D188C2311yescharacteristic
221C22×C22⋊D47—21no—
222C22×C22⋊D47—21no—
223C22×C22⋊D47—21no—
224C22×C22⋊D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47—21no—
228C2×D4×D47C2311yescharacteristic
229C2×D4×D47C2311yescharacteristic
230C2×D4×D47C2311yescharacteristic
231C22×C4×D47—21no—
232#13094053—42no—
233#13094052—42no—
234#13094051—42no—
235#13094050—42no—
236#13094046—42no—
237#13094045—42no—
238C2×Dic188C2311yescharacteristic
239C2×Dic188C2311yescharacteristic
240C2×#10625337C2311yescharacteristic
241C2×#10625337C2311yescharacteristic
242C2×#10625325C2311yescharacteristic
243C2×#10625325C2311yescharacteristic
244C2×#10625325C2311yescharacteristic
245C2×#10625325C2311yescharacteristic
246C2×#10625325C2311yescharacteristic
247C2×#10625335C2311yescharacteristic
248C2×#10625335C2311yescharacteristic
249C2×#10625335C2311yescharacteristic
250C2×#10625336C2311yescharacteristic
251SD16×D47—42no—
252C2×D376C2311yescharacteristic
253C2×D376C2311yescharacteristic
254C2×#10625334—42no—
255C2×#10625334C2311yescharacteristic
256C2×#10625334C2311yescharacteristic
257C2×#10625334C2311yescharacteristic
258C2×#10625334C2311yescharacteristic
259C2×#10625334C2311yescharacteristic
260C2×#10625334C2311yescharacteristic
261C2×#10625329C2311yescharacteristic
262C2×#10625324C2311yescharacteristic
263C2×#10625324C2311yescharacteristic
264C22×C47⋊C8C2311yescharacteristic
265C2×C8×D47C2311yescharacteristic
266C2×C8×D47C2311yescharacteristic
267#13094024C2311yescharacteristic
268#13094023—21no—
269#13094023D411yescharacteristic
270#13094021—21no—
271#13094020D411yescharacteristic
272#13094019—21no—
273#13094019—21no—
274#13094019—21no—
275#13094019—21no—
276#13094017—21no—
277#13094016—21no—
278#13094015C2311yescharacteristic
279#13094013C2311yescharacteristic
280#13094012—21no—
281#13094012—21no—
282#13094012C2311yescharacteristic
283#13094011C2311yescharacteristic
284#13094011C2311yescharacteristic
285#13094010—21no—
286#13094010—21no—
287#13094010D411yescharacteristic
288#13094010D411yescharacteristic
289#13094009—21no—
290#13094009—21no—
291#13094009—21no—
292#13094009—21no—
293#13094009—21no—
294#13094009—21no—
295#13094009—21no—
296#13094008—21no—
297#13094008—21no—
298#13094006—21no—
299#13094006—21no—
300#13094006—21no—
301#13094006—21no—
302#13094006—21no—
303#13094006—21no—
304#13094005—21no—
305#13094005—21no—
306#13094004—21no—
307#13094004—21no—
308#13094004C2311yescharacteristic
309#13094004C2311yescharacteristic
310#13094004C2311yescharacteristic
311#13094004C2311yescharacteristic
312#13094003C2311yescharacteristic
313#13094003C2311yescharacteristic
314#13094003C2311yescharacteristic
315#13094002—21no—
316#13094002—21no—
317#13094001—21no—
318#13094001—21no—
319#13094000C2311yescharacteristic
320#13093999—21no—
321#13093999—21no—
322#13093999—21no—
323#13093999—21no—
324#13093999—21no—
325#13093999D411yescharacteristic
326#13093999C2311yescharacteristic
327#13093999C2311yescharacteristic
328#13093999C2311yescharacteristic
329#13093999C2311yescharacteristic
330#13093999C2311yescharacteristic
331#13093998—21no—
332#13093998—21no—
333#13093998—21no—
334#13093998—21no—
335#13093998C2311yescharacteristic
336#13093997—21no—
337#13093997—21no—
338#13093997—21no—
339#13093997—21no—
340#13093997—21no—
341#13093997—21no—
342#13093997D411yescharacteristic
343#13093997D411yescharacteristic
344#13093996—21no—
345#13093996—21no—
346#13093996—21no—
347#13093996—21no—
348#13093995—21no—
349#13093995—21no—
350#13093995—21no—
351#13093995—21no—
352#13093995—21no—
353#13093995—21no—
354#13093995—21no—
355#13093995—21no—
356#13093995D411yescharacteristic
357#13093995C2311yescharacteristic
358#13093995C2311yescharacteristic
359#13093994—21no—
360#13093994—21no—
361#13093994—21no—
362#13093993—21no—
363#13093993—21no—
364#13093992—21no—
365#13093992—21no—
366#13093992—21no—
367#13093992—21no—
368#13093992—21no—
369#13093989C2311yescharacteristic
370C4×D188—21no—
371C4×D188—21no—
372C4×D188C2311yescharacteristic
373C4×D188C2311yescharacteristic
374C4×D188C2311yescharacteristic
375D4×Dic47—21no—
376D4×Dic47—21no—
377D4×Dic47C2311yescharacteristic
378#13093986—21no—
379#13093986—21no—
380#13093986—21no—
381#13093986C2311yescharacteristic
382#13093986C2311yescharacteristic
383C4×C22⋊D47—21no—
384C4×C22⋊D47—21no—
385C4×C22⋊D47C2311yescharacteristic
386C4×C22⋊D47C2311yescharacteristic
387(C22⋊D47)⋊C4—21no—
388#13093982—21no—
389#13093982C2311yescharacteristic
390#13093981—21no—
391#13093981—21no—
392C2×C4⋊Dic47—21no—
393C4⋊C4×D47—21no—
394C4⋊C4×D47C2311yescharacteristic
395C4⋊C4×D47C2311yescharacteristic
396C2×C22⋊Dic47—21no—
397C2×C22⋊Dic47—21no—
398C22⋊C4×D47—21no—
399C22⋊C4×D47—21no—
400C22⋊C4×D47—21no—
401C22⋊C4×D47—21no—
402C22⋊C4×D47—21no—
403C42×D47C2311yescharacteristic
404#13093957C2311yescharacteristic
405#13093957C2311yescharacteristic
406#13093956C2311yescharacteristic
407#13093955C2311yescharacteristic
408#13093955C2311yescharacteristic
409C4⋊(C47⋊C8)C2311yescharacteristic
410Dic47⋊C8C2311yescharacteristic
411Dic47⋊C8C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093949C2311yescharacteristic
414#13093949C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093947C2311yescharacteristic
422#13093947C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093946C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433#13093944C2311yescharacteristic
434C22⋊(C47⋊C8)C2311yescharacteristic
435C22⋊(C47⋊C8)C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442(C2×D47)⋊C8C2311yescharacteristic
443(C2×D47)⋊C8C2311yescharacteristic
444#13093935C2311yescharacteristic
445C8×Dic47C2311yescharacteristic
446C8×Dic47C2311yescharacteristic
447C22×D4×C47—21no—
448C22×D4×C47C2311yescharacteristic
449C22×D4×C47C2311yescharacteristic
450C2×SD16×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×SD16×C47C2311yescharacteristic
453C2×M16×C47C2311yescharacteristic
454C22×C8×C47C2311yescharacteristic
455#127×C47C2311yescharacteristic
456#126×C47—21no—
457#125×C47—21no—
458#125×C47C2311yescharacteristic
459#123×C47—21no—
460C22⋊Q8×C47C2311yescharacteristic
461C22⋊Q8×C47C2311yescharacteristic
462#121×C47—21no—
463#121×C47C2311yescharacteristic
464#121×C47C2311yescharacteristic
465#120×C47—21no—
466#120×C47—21no—
467C4×Q8×C47C2311yescharacteristic
468C4×D4×C47C2311yescharacteristic
469C4×D4×C47C2311yescharacteristic
470#117×C47—21no—
471#117×C47C2311yescharacteristic
472C2×C4⋊C4×C47C2311yescharacteristic
473#107×C47C2311yescharacteristic
474#107×C47C2311yescharacteristic
475#106×C47C2311yescharacteristic
476C4⋊C8×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486#102×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489#97×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C2×Q8×C47C2411yescharacteristic
497C2×D4×C47—22no—
498C2×D4×C47—22no—
499C2×D4×C47—21no—
500C2×D4×C47—21no—
501C2×D4×C47—21no—
502C2×D4×C47—21no—
503C2×D4×C47—21no—
504C2×D4×C47—21no—
505C2×D4×C47—41no—
506C2×D4×C47—41no—
507C2×D4×C47—82no—
508C2×D4×C47C2×D411yescharacteristic
509C2×D4×C47C2411yescharacteristic
510C2×D4×C47C2411yescharacteristic
511C2×D4×C47C2411yescharacteristic
512C22×C4×C47—21no—
513C22×C4×C47—21no—
514C22×C4×C47C2411yescharacteristic
515C22×C4×C47C2411yescharacteristic
516C2×C22⋊D47—21no—
517C2×C22⋊D47—21no—
518C2×C22⋊D47—21no—
519C2×C22⋊D47—21no—
520C2×C22⋊D47—21no—
521C2×C22⋊D47—21no—
522C2×C22⋊D47—21no—
523C2×C22⋊D47—21no—
524C2×C22⋊D47—21no—
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—44no—
530C2×C22⋊D47—44no—
531C2×C22⋊D47—44no—
532C2×C22⋊D47—44no—
533C2×C22⋊D47C2×D411yescharacteristic
534C2×C22⋊D47C2×D411yescharacteristic
535C2×C22⋊D47C2×D411yescharacteristic
536C2×C22⋊D47C2×D411yescharacteristic
537C2×C22⋊D47C2×D411yescharacteristic
538C2×C22⋊D47C2×D411yescharacteristic
539C22×Dic47—21no—
540C22×Dic47—21no—
541C22×Dic47—21no—
542C22×Dic47—21no—
543C22×Dic47—21no—
544#10625354—41no—
545#10625354—41no—
546Q8×D47—41no—
547Q8×D47—41no—
548#10625352—22no—
549#10625352—22no—
550#10625352—41no—
551#10625352—41no—
552#10625352—41no—
553#10625352—41no—
554#10625352—41no—
555#10625352—41no—
556#10625352—44no—
557#10625352—44no—
558D4×D47—22no—
559D4×D47—22no—
560D4×D47—22no—
561D4×D47—22no—
562D4×D47—41no—
563D4×D47—41no—
564D4×D47—44no—
565D4×D47—44no—
566D4×D47—82no—
567#10625350—22no—
568#10625350—22no—
569#10625350—41no—
570#10625350—41no—
571#10625350—41no—
572#10625350—41no—
573#10625350—41no—
574#10625350—41no—
575#10625350—41no—
576#10625350—41no—
577C2×D188—21no—
578C2×D188—21no—
579C2×D188—21no—
580C2×D188—21no—
581C2×D188—21no—
582C2×D188—21no—
583C2×D188—21no—
584C2×D188—41no—
585C2×D188—41no—
586C2×D188C2×D411yescharacteristic
587C2×D188C2×D411yescharacteristic
588C2×D188C2×D411yescharacteristic
589C2×D188C2411yescharacteristic
590C2×D188C2411yescharacteristic
591C2×D188C2411yescharacteristic
592C2×C4×D47—21no—
593C2×C4×D47—21no—
594C2×C4×D47—21no—
595C2×C4×D47—21no—
596C2×C4×D47—21no—
597C2×C4×D47—21no—
598C2×C4×D47—21no—
599C2×C4×D47—21no—
600C2×C4×D47—21no—
601C2×C4×D47—21no—
602C2×C4×D47—21no—
603C2×C4×D47—82no—
604C2×C4×D47C2×D411yescharacteristic
605C2×C4×D47C2×D411yescharacteristic
606C2×C4×D47C2411yescharacteristic
607C2×C4×D47C2411yescharacteristic
608C2×C4×D47C2411yescharacteristic
609C2×Dic94—21no—
610C2×Dic94C2×D411yescharacteristic
611C2×Dic94C2×D411yescharacteristic
612C2×Dic94C2411yescharacteristic
613C2×Dic94C2411yescharacteristic
614C2×Dic94C2411yescharacteristic
615SD16×C47—22no—
616SD16×C47—41no—
617SD16×C47—41no—
618M16×C47—41no—
619C2×C8×C47—41no—
620C2×C8×C47C2411yescharacteristic
621C2×C8×C47C2411yescharacteristic
622C2×C8×C47C2411yescharacteristic
623C2×C8×C47C2411yescharacteristic
624C4⋊C4×C47—21no—
625C4⋊C4×C47—21no—
626C4⋊C4×C47—21no—
627C4⋊C4×C47—21no—
628C4⋊C4×C47—21no—
629C4⋊C4×C47—21no—
630C4⋊C4×C47C2×D411yescharacteristic
631C4⋊C4×C47C2411yescharacteristic
632C4⋊C4×C47C2411yescharacteristic
633C4⋊C4×C47C2411yescharacteristic
634C4⋊C4×C47C2411yescharacteristic
635C22⋊C4×C47—21no—
636C22⋊C4×C47—21no—
637C22⋊C4×C47—21no—
638C22⋊C4×C47—21no—
639C22⋊C4×C47—21no—
640C22⋊C4×C47—21no—
641C22⋊C4×C47C2×D411yescharacteristic
642C22⋊C4×C47C2×D411yescharacteristic
643C42×C47—21no—
644C42×C47—21no—
645C42×C47C2411yescharacteristic
646C22⋊Dic47—21no—
647C22⋊Dic47—21no—
648C22⋊Dic47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47—21no—
653C22⋊Dic47—21no—
654C22⋊Dic47—21no—
655C22⋊Dic47—21no—
656C22⋊Dic47C2×D411yescharacteristic
657C22⋊Dic47C2×D411yescharacteristic
658#10625337—41no—
659#10625337—41no—
660#10625336—22no—
661#10625335—22no—
662#10625335—41no—
663#10625335—41no—
664#10625334—22no—
665#10625334—22no—
666#10625334—41no—
667#10625334—41no—
668#10625334—41no—
669#10625334—41no—
670(C2×D47)⋊C4—21no—
671(C2×D47)⋊C4—21no—
672(C2×D47)⋊C4—21no—
673(C2×D47)⋊C4—21no—
674(C2×D47)⋊C4—21no—
675(C2×D47)⋊C4—21no—
676(C2×D47)⋊C4—21no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4—21no—
682(C2×D47)⋊C4—21no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4—21no—
689(C2×D47)⋊C4—21no—
690(C2×D47)⋊C4C2×D411yescharacteristic
691(C2×D47)⋊C4C2×D411yescharacteristic
692(C2×D47)⋊C4C2×D411yescharacteristic
693(C2×D47)⋊C4C2×D411yescharacteristic
694C4⋊Dic47—21no—
695C4⋊Dic47—21no—
696C4⋊Dic47—21no—
697C4⋊Dic47—21no—
698C4⋊Dic47—21no—
699C4⋊Dic47—21no—
700C4⋊Dic47—21no—
701C4⋊Dic47C2×D411yescharacteristic
702C4⋊Dic47C2411yescharacteristic
703C4⋊Dic47C2411yescharacteristic
704Dic47⋊C4—21no—
705Dic47⋊C4—21no—
706Dic47⋊C4—21no—
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4C2×D411yescharacteristic
713Dic47⋊C4C2×D411yescharacteristic
714C4×Dic47—21no—
715C4×Dic47—21no—
716C4×Dic47C2×D411yescharacteristic
717C4×Dic47C2×D411yescharacteristic
718C4×Dic47C2411yescharacteristic
719#10625329—41no—
720C2×C47⋊C8—41no—
721C2×C47⋊C8C2411yescharacteristic
722C2×C47⋊C8C2411yescharacteristic
723C2×C47⋊C8C2411yescharacteristic
724C2×C47⋊C8C2411yescharacteristic
725Dic188—41no—
726Dic188—41no—
727D376—22no—
728D376—22no—
729#10625325—22no—
730#10625325—41no—
731#10625325—41no—
732#10625325—41no—
733#10625325—41no—
734#10625324—41no—
735#10625324—41no—
736C8×D47—41no—
737C8×D47—41no—
738C23×C47—21no—
739C23×C47—21no—
740C23×C47—21no—
741C23×C47—42no—
742C23×C47—42no—
743C23×C47—81no—
744C23×C47—81no—
745C23×C47—81no—
746C23×C47—81no—
747C23×C47C22×D411yescharacteristic
748C23×C47C22×D411yescharacteristic
749C22×D47—21no—
750C22×D47—24no—
751C22×D47—21no—
752C22×D47—21no—
753C22×D47—42no—
754C22×D47—42no—
755C22×D47—81no—
756C22×D47—81no—
757C22×D47—81no—
758C22×D47—81no—
759C22×D47—81no—
760C22×D47—81no—
761C22×D47—81no—
762C22×D47—81no—
763C22×D47—81no—
764C22×D47C22×D411yescharacteristic
765C22×D47C22×D411yescharacteristic
766C22×D47C22×D411yescharacteristic
767Q8×C47—21no—
768Q8×C47—21no—
769D4×C47—21no—
770D4×C47—21no—
771D4×C47—21no—
772D4×C47—21no—
773D4×C47—21no—
774D4×C47—41no—
775D4×C47—42no—
776D4×C47—42no—
777D4×C47—42no—
778D4×C47—81no—
779D4×C47—81no—
780D4×C47—81no—
781D4×C47H(5,𝔽2)12yes—
782C2×C4×C47—21no—
783C2×C4×C47—21no—
784C2×C4×C47—21no—
785C2×C4×C47—21no—
786C2×C4×C47—21no—
787C2×C4×C47—21no—
788C2×C4×C47—21no—
789C2×C4×C47—21no—
790C2×C4×C47—21no—
791C2×C4×C47—42no—
792C2×C4×C47—81no—
793C2×C4×C47C22×D411yescharacteristic
794C2×C4×C47C22×D411yescharacteristic
795C2×C4×C47C22×D411yescharacteristic
796C2×C4×C47C22×D411yescharacteristic
797C2×C4×C47C2511yescharacteristic
798C22⋊D47—24no—
799C22⋊D47—41no—
800C22⋊D47—41no—
801C22⋊D47—41no—
802C22⋊D47—41no—
803C22⋊D47—41no—
804C22⋊D47—41no—
805C22⋊D47—42no—
806C22⋊D47—42no—
807C22⋊D47—42no—
808C22⋊D47—42no—
809C22⋊D47—42no—
810C22⋊D47—42no—
811C22⋊D47—42no—
812C22⋊D47—42no—
813C22⋊D47—81no—
814C22⋊D47—81no—
815C22⋊D47—81no—
816C22⋊D47—81no—
817C2×Dic47—21no—
818C2×Dic47—21no—
819C2×Dic47—21no—
820C2×Dic47—21no—
821C2×Dic47—21no—
822C2×Dic47—42no—
823C2×Dic47—42no—
824C2×Dic47—42no—
825C2×Dic47—42no—
826C2×Dic47—81no—
827C2×Dic47C22×D411yescharacteristic
828C2×Dic47C22×D411yescharacteristic
829C2×Dic47C22×D411yescharacteristic
830C2×Dic47C22×D411yescharacteristic
831C2×Dic47C22×D411yescharacteristic
832D188—21no—
833D188—21no—
834D188—21no—
835D188—21no—
836D188—21no—
837D188—41no—
838D188—41no—
839D188—41no—
840D188—81no—
841D188—81no—
842D188—81no—
843D188—81no—
844D188—81no—
845D188—81no—
846D188—81no—
847D188H(5,𝔽2)12yes—
848C4×D47—21no—
849C4×D47—21no—
850C4×D47—21no—
851C4×D47—21no—
852C4×D47—21no—
853C4×D47—21no—
854C4×D47—41no—
855C4×D47—41no—
856C4×D47—42no—
857C4×D47—42no—
858C4×D47—42no—
859C4×D47—81no—
860C4×D47—81no—
861C4×D47—81no—
862C4×D47—81no—
863C4×D47—81no—
864C4×D47—81no—
865C4×D47—81no—
866C4×D47—81no—
867Dic94—21no—
868Dic94—21no—
869Dic94—21no—
870Dic94—21no—
871Dic94—21no—
872Dic94—21no—
873Dic94—41no—
874Dic94—41no—
875Dic94—81no—
876C8×C47—21no—
877C8×C47—21no—
878C8×C47—21no—
879C8×C47—21no—
880C47⋊C8—21no—
881C47⋊C8—21no—
882C47⋊C8—21no—
883C47⋊C8—21no—
884#61678—471nomaximal, Sylow
885C22×C47—21no—
886C22×C47—21no—
887C22×C47—21no—
888C22×C47—21no—
889C22×C47—22no—
890C22×C47—21no—
891C22×C47—21no—
892C22×C47—41no—
893C22×C47—41no—
894C22×C47—41no—
895C22×C47—41no—
896C22×C47—41no—
897C22×C47—41no—
898C22×C47—41no—
899C22×C47—41no—
900C22×C47—162no—
901C22×C47—162no—
902C22×C47C23×D411yescharacteristic
903C2×D47—21no—
904C2×D47—21no—
905C2×D47—21no—
906C2×D47—21no—
907C2×D47—21no—
908C2×D47—21no—
909C2×D47—21no—
910C2×D47—21no—
911C2×D47—21no—
912C2×D47—22no—
913C2×D47—41no—
914C2×D47—41no—
915C2×D47—41no—
916C2×D47—41no—
917C2×D47—41no—
918C2×D47—41no—
919C2×D47—41no—
920C2×D47—41no—
921C2×D47—84no—
922C2×D47—162no—
923C2×D47—162no—
924C2×D47—162no—
925C4×C47—21no—
926C4×C47—21no—
927C4×C47—21no—
928C4×C47—21no—
929C4×C47—41no—
930C4×C47—41no—
931C4×C47—41no—
932C4×C47—41no—
933C4×C47—41no—
934C4×C47C2×H(5,𝔽2)11yescharacteristic
935C4×C47C2×H(5,𝔽2)11yescharacteristic
936Dic47—21no—
937Dic47—21no—
938Dic47—21no—
939Dic47—21no—
940Dic47—21no—
941Dic47—41no—
942Dic47—41no—
943Dic47—41no—
944Dic47—41no—
945Dic47—41no—
946#3551—471no—
947#3496—471no—
948#3323—471no—
949#3322—471no—
950#3318—471no—
951#3315—471no—
952#3310D4711yescharacteristic, complemented
953#3307—471no—
954#3297—471no—
955#3296—471no—
956#3282—471no—
957#3280—471no—
958#3275—471no—
959#3273—471no—
960#3269—471no—
961#3267—471no—
962#3265—471no—
963#3264—471no—
964#3219—471no—
965#3212—471no—
966#3204—471no—
967#3203—471no—
968#3201—471no—
969#3198—471no—
970#3114—471no—
971#3105—471no—
972#3012—471no—
973#3012—471no—
974#3009—471no—
975#3008—471no—
976#2981—471no—
977C2×C47—42no—
978C2×C47—41no—
979C2×C47—41no—
980C2×C47—81no—
981C2×C47—81no—
982C2×C47#348411yescharacteristic
983C2×C47#358411yescharacteristic
984C2×C47#358511yescharacteristic
985D47—41no—
986D47—41no—
987D47—41no—
988D47—42no—
989D47—81no—
990D47—81no—
991C2×H(5,𝔽2)—471no—
992C2×H(5,𝔽2)—471no—
993C2×#137—471no—
994C2×AGL(1,ℤ/8)—471no—
995C2×AGL(1,ℤ/8)—471no—
996C2×AGL(1,ℤ/8)—471no—
997C2×#135—471no—
998C2×#135—471no—
999C22×SD16—471no—
1000C22×D8—471no—
1001#563—941no—
1002#560—941no—
1003#555—941no—
1004#553—471no—
1005#553—471no—
1006#552—471no—
1007#552C2×D4711yescharacteristic, complemented
1008#551—941no—
1009#548—471no—
1010#548—471no—
1011#547—471no—
1012#547—471no—
1013#547—941no—
1014#546—471no—
1015#546—471no—
1016#546—471no—
1017#546—471no—
1018#546—471no—
1019#546—471no—
1020#546—941no—
1021#546—941no—
1022D42—471no—
1023D42—941no—
1024D42C2×D4711yescharacteristic
1025#540—941no—
1026#540—941no—
1027#538—941no—
1028#538—941no—
1029#537—471no—
1030#537—471no—
1031#537—471no—
1032#537—471no—
1033#536—471no—
1034#535—471no—
1035#534—941no—
1036#534—941no—
1037#532—471no—
1038#532—471no—
1039#529—471no—
1040#529—471no—
1041C2×#121—941no—
1042C2×#121—941no—
1043C2×C4×D4—471no—
1044#497—471no—
1045#496—471no—
1046#495—471no—
1047#495—471no—
1048#491—471no—
1049#490C2×D4711yescharacteristic, complemented
1050#488—471no—
1051#488—471no—
1052#485—471no—
1053#485—471no—
1054#484—471no—
1055#484—471no—
1056#483—471no—
1057#483—471no—
1058#482—471no—
1059#482C2×D4711yescharacteristic, complemented
1060#481—471no—
1061#481—471no—
1062#480—471no—
1063#480C2×D4711yescharacteristic, complemented
1064#478—471no—
1065#478—471no—
1066#478—471no—
1067#478C2×D4711yescharacteristic, complemented
1068#470—471no—
1069#470—471no—
1070#469—471no—
1071#469—471no—
1072#468—471no—
1073#468—471no—
1074#468—471no—
1075#468C2×D4711yescharacteristic, complemented
1076#467—471no—
1077#467—471no—
1078#466—471no—
1079#466—471no—
1080#465—471no—
1081#465—471no—
1082#465—471no—
1083#465C2×D4711yescharacteristic, complemented
1084#464—471no—
1085#464—471no—
1086#463—471no—
1087#463—471no—
1088#463—471no—
1089#463—471no—
1090#463—471no—
1091#463—471no—
1092#462—471no—
1093#461—471no—
1094#460C2×D4711yescharacteristic, complemented
1095#459—471no—
1096#452—471no—
1097#452—471no—
1098#452—471no—
1099#452—471no—
1100#452—471no—
1101#452—471no—
1102#452—471no—
1103#452—471no—
1104#452—471no—
1105#452—471no—
1106#451—471no—
1107#450—471no—
1108#450—471no—
1109#450—471no—
1110#450—471no—
1111#450—471no—
1112#450C2×D4711yescharacteristic, complemented
1113#450C2×D4711yescharacteristic, complemented
1114#449—471no—
1115#449—471no—
1116#449—471no—
1117#449—471no—
1118#449—471no—
1119#449—471no—
1120#449—471no—
1121#449—471no—
1122#449—471no—
1123#449—471no—
1124#448—471no—
1125#447—471no—
1126#447—471no—
1127#447—471no—
1128#447—471no—
1129#447—471no—
1130#447—471no—
1131#447—471no—
1132#442—471no—
1133#442—471no—
1134#440—471no—
1135#440C2×D4711yescharacteristic, complemented
1136C4×SD16—471no—
1137C4×SD16—471no—
1138C4×D8—471no—
1139C4×D8—471no—
1140#436—471no—
1141#436—471no—
1142#435—471no—
1143#435—471no—
1144#435—471no—
1145#435C2×D4711yescharacteristic, complemented
1146C8×D4—471no—
1147C8×D4—471no—
1148#432—471no—
1149#431—471no—
1150#418—471no—
1151#418C2×D4711yescharacteristic, complemented
1152#417—471no—
1153#417—471no—
1154#416—471no—
1155#416—471no—
1156C2×#102—471no—
1157C2×#102C2×D4711yescharacteristic, complemented
1158#408—471no—
1159#408—471no—
1160#408—471no—
1161#408—471no—
1162C47#6167811yescharacteristic, complemented, Sylow
1163H(5,𝔽2)—1882no—
1164H(5,𝔽2)—1882no—
1165H(5,𝔽2)—1882no—
1166H(5,𝔽2)—1882no—
1167C2×#41—471no—
1168C2×#41—471no—
1169C2×#41—471no—
1170C2×#41—471no—
1171C2×#41—471no—
1172C2×#41—471no—
1173C2×#41—471no—
1174C2×#41—471no—
1175C2×#41—471no—
1176C2×#41—471no—
1177C2×#41—941no—
1178C2×#41—941no—
1179C22×Q8—471no—
1180C22×D4—21no—
1181C22×D4—471no—
1182C22×D4—471no—
1183C22×D4—471no—
1184C22×D4—471no—
1185C22×D4—941no—
1186C22×D4—941no—
1187C22×D4—941no—
1188C22×D4—941no—
1189C22×D4—941no—
1190C22×D4—941no—
1191C22×D4—941no—
1192C22×D4C22×D4711yescharacteristic
1193C22×D4C22×D4711yescharacteristic
1194C23×C4—941no—
1195#137—1882no—
1196AGL(1,ℤ/8)—1882no—
1197AGL(1,ℤ/8)—1882no—
1198AGL(1,ℤ/8)—1882no—
1199#135—1882no—
1200#135—1882no—
1201C2×Q16—471no—
1202C2×Q16—471no—
1203C2×Q16—471no—
1204C2×Q16—471no—
1205C2×SD16—471no—
1206C2×SD16—471no—
1207C2×SD16—471no—
1208C2×SD16—471no—
1209C2×SD16—471no—
1210C2×SD16—471no—
1211C2×SD16—471no—
1212C2×SD16—471no—
1213C2×SD16—471no—
1214C2×SD16—1882no—
1215C2×SD16C22×D4711yescharacteristic
1216C2×SD16C22×D4711yescharacteristic
1217C2×SD16C22×D4711yescharacteristic
1218C2×D8—471no—
1219C2×D8—471no—
1220C2×D8—471no—
1221C2×D8—471no—
1222C2×D8—471no—
1223C2×D8—471no—
1224C2×D8—471no—
1225C2×D8—471no—
1226C2×D8—1882no—
1227C2×M16—471no—
1228C2×M16—471no—
1229C2×M16—471no—
1230C2×M16C22×D4711yescharacteristic
1231C22×C8—471no—
1232C22×C8—471no—
1233C22×C8—471no—
1234C22×C8C22×D4711yescharacteristic
1235C4⋊Q8—471no—
1236C4⋊Q8—471no—
1237C4⋊Q8—941no—
1238#127—471no—
1239#127—941no—
1240#127C22×D4711yescharacteristic
1241#126—21no—
1242#126—941no—
1243#126—941no—
1244#126—941no—
1245#126—941no—
1246#126—941no—
1247#125—21no—
1248#125—471no—
1249#125—941no—
1250#125C22×D4711yescharacteristic
1251#124—471no—
1252#124—471no—
1253#124—471no—
1254#124—471no—
1255#124—471no—
1256#124—471no—
1257#124—941no—
1258#124—941no—
1259#124—941no—
1260#124—941no—
1261#123—21no—
1262#123—941no—
1263#123—941no—
1264#123—941no—
1265#123—941no—
1266#123—941no—
1267#123—941no—
1268#123—941no—
1269#123—941no—
1270#123—941no—
1271#123—941no—
1272#123—941no—
1273#123—941no—
1274#123—941no—
1275#123—941no—
1276#123—941no—
1277#123—941no—
1278#123—941no—
1279C22⋊Q8—471no—
1280C22⋊Q8—471no—
1281C22⋊Q8—471no—
1282C22⋊Q8—471no—
1283C22⋊Q8—471no—
1284C22⋊Q8—471no—
1285C22⋊Q8—471no—
1286C22⋊Q8—471no—
1287C22⋊Q8—941no—
1288C22⋊Q8—941no—
1289C22⋊Q8—941no—
1290C22⋊Q8—941no—
1291C22⋊Q8—941no—
1292C22⋊Q8—941no—
1293C22⋊Q8C22×D4711yescharacteristic
1294C22⋊Q8C22×D4711yescharacteristic
1295#121—21no—
1296#121—471no—
1297#121—471no—
1298#121—471no—
1299#121—471no—
1300#121—471no—
1301#121—471no—
1302#121—471no—
1303#121—471no—
1304#121—471no—
1305#121—471no—
1306#121—471no—
1307#121—471no—
1308#121—941no—
1309#121—941no—
1310#121—941no—
1311#121—941no—
1312#121—941no—
1313#121—941no—
1314#121—941no—
1315#121—941no—
1316#121—941no—
1317#121—941no—
1318#121—941no—
1319#121—941no—
1320#121—941no—
1321#121—941no—
1322#121—941no—
1323#121—941no—
1324#121—941no—
1325#121—941no—
1326#121—941no—
1327#121—941no—
1328#121—941no—
1329#121—941no—
1330#121—941no—
1331#121—941no—
1332#121—941no—
1333#121—941no—
1334#121—941no—
1335#121C22×D4711yescharacteristic
1336#121C22×D4711yescharacteristic
1337#120—21no—
1338#120—21no—
1339#120—941no—
1340#120—941no—
1341#120—941no—
1342#120—941no—
1343#120—941no—
1344#120—941no—
1345#120—941no—
1346#120—941no—
1347#120—941no—
1348#120—941no—
1349C4×Q8—471no—
1350C4×Q8C22×D4711yescharacteristic
1351C4×D4—471no—
1352C4×D4—471no—
1353C4×D4—471no—
1354C4×D4—471no—
1355C4×D4—471no—
1356C4×D4—471no—
1357C4×D4—471no—
1358C4×D4—471no—
1359C4×D4—941no—
1360C4×D4—941no—
1361C4×D4—941no—
1362C4×D4—941no—
1363C4×D4—941no—
1364C4×D4—941no—
1365C4×D4—941no—
1366C4×D4—941no—
1367C4×D4—941no—
1368C4×D4—941no—
1369C4×D4C22×D4711yescharacteristic
1370C4×D4C22×D4711yescharacteristic
1371#117—21no—
1372#117—471no—
1373#117—941no—
1374#117—941no—
1375#117—941no—
1376#117C22×D4711yescharacteristic
1377C2×C4⋊C4—471no—
1378C2×C4⋊C4—471no—
1379C2×C4⋊C4—941no—
1380C2×C4⋊C4—941no—
1381C2×C4⋊C4C22×D4711yescharacteristic
1382C2×C22⋊C4—941no—
1383C2×C22⋊C4—941no—
1384C2×C22⋊C4—941no—
1385C2×C22⋊C4—941no—
1386C2×C22⋊C4—941no—
1387C2×C22⋊C4—941no—
1388C2×C22⋊C4—941no—
1389C2×C42—471no—
1390#107—471no—
1391#107—471no—
1392#107C22×D4711yescharacteristic
1393#107C22×D4711yescharacteristic
1394#106—471no—
1395#106—471no—
1396#106—471no—
1397#106C22×D4711yescharacteristic
1398C4⋊C8—471no—
1399C4⋊C8—471no—
1400C4⋊C8—471no—
1401C4⋊C8C22×D4711yescharacteristic
1402#103—471no—
1403#103—471no—
1404#103—471no—
1405#103—471no—
1406#103—471no—
1407#103—471no—
1408#103—471no—
1409#103—471no—
1410#103—471no—
1411#103—471no—
1412#103—471no—
1413#103C22×D4711yescharacteristic
1414#102—471no—
1415#102—471no—
1416#102—471no—
1417#102—471no—
1418#102—471no—
1419#102—471no—
1420#102—471no—
1421#102—471no—
1422#102—471no—
1423#102—471no—
1424#102—471no—
1425#102C22×D4711yescharacteristic
1426#102C22×D4711yescharacteristic
1427#102C22×D4711yescharacteristic
1428#102C22×D4711yescharacteristic
1429#102C22×D4711yescharacteristic
1430#102C22×D4711yescharacteristic
1431#102C22×D4711yescharacteristic
1432#102C22×D4711yescharacteristic
1433#102C22×D4711yescharacteristic
1434C22⋊C8—471no—
1435C22⋊C8—471no—
1436C22⋊C8—471no—
1437C22⋊C8—471no—
1438C22⋊C8—471no—
1439C22⋊C8—471no—
1440C22⋊C8—471no—
1441C22⋊C8—471no—
1442C22⋊C8—471no—
1443C22⋊C8—471no—
1444C22⋊C8C22×D4711yescharacteristic
1445C22⋊C8C22×D4711yescharacteristic
1446#97—471no—
1447#97C22×D4711yescharacteristic
1448C4×C8—471no—
1449C4×C8—471no—
1450C24—21no—
1451C24—21no—
1452C24—941no—
1453C24—941no—
1454C24—941no—
1455C24—941no—
1456#41—942no—
1457#41—942no—
1458#41—942no—
1459#41—942no—
1460#41—1881no—
1461#41—1881no—
1462#41—1881no—
1463#41—1881no—
1464#41—1881no—
1465#41—1881no—
1466#41—1881no—
1467#41—1881no—
1468#41—1881no—
1469#41—1881no—
1470#41—1881no—
1471#41—1881no—
1472#41—1881no—
1473#41—1881no—
1474#41—1881no—
1475#41—1881no—
1476#41—1884no—
1477#41—1884no—
1478C2×Q8—471no—
1479C2×Q8—471no—
1480C2×Q8—471no—
1481C2×Q8—471no—
1482C2×Q8—471no—
1483C2×Q8—941no—
1484C2×Q8—1881no—
1485C2×Q8—1881no—
1486C2×Q8C23×D4711yescharacteristic
1487C2×D4—22no—
1488C2×D4—22no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—41no—
1496C2×D4—41no—
1497C2×D4—82no—
1498C2×D4—471no—
1499C2×D4—471no—
1500C2×D4—471no—
1501C2×D4—471no—
1502C2×D4—471no—
1503C2×D4—471no—
1504C2×D4—471no—
1505C2×D4—471no—
1506C2×D4—471no—
1507C2×D4—471no—
1508C2×D4—471no—
1509C2×D4—471no—
1510C2×D4—941no—
1511C2×D4—941no—
1512C2×D4—941no—
1513C2×D4—941no—
1514C2×D4—941no—
1515C2×D4—941no—
1516C2×D4—941no—
1517C2×D4—941no—
1518C2×D4—941no—
1519C2×D4—942no—
1520C2×D4—942no—
1521C2×D4—942no—
1522C2×D4—942no—
1523C2×D4—941no—
1524C2×D4—941no—
1525C2×D4—941no—
1526C2×D4—941no—
1527C2×D4—941no—
1528C2×D4—941no—
1529C2×D4—941no—
1530C2×D4—941no—
1531C2×D4—941no—
1532C2×D4—941no—
1533C2×D4—941no—
1534C2×D4—3762no—
1535C2×D4—1881no—
1536C2×D4—1881no—
1537C2×D4—1881no—
1538C2×D4—1881no—
1539C2×D4—1884no—
1540C2×D4—1884no—
1541C2×D4—1884no—
1542C2×D4—1884no—
1543C2×D4—1884no—
1544C2×D4—1884no—
1545C2×D4D4×D4711yescharacteristic
1546C2×D4C23×D4711yescharacteristic
1547C2×D4C23×D4711yescharacteristic
1548C2×D4C23×D4711yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—471no—
1552C22×C4—471no—
1553C22×C4—471no—
1554C22×C4—471no—
1555C22×C4—471no—
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×C4—3762no—
1573C22×C4C23×D4711yescharacteristic
1574C22×C4C23×D4711yescharacteristic
1575Q16—1881no—
1576Q16—1881no—
1577Q16—1881no—
1578Q16—1881no—
1579SD16—22no—
1580SD16—41no—
1581SD16—41no—
1582SD16—942no—
1583SD16—942no—
1584SD16—942no—
1585SD16—1881no—
1586SD16—1881no—
1587SD16—1881no—
1588SD16—1881no—
1589SD16—1881no—
1590SD16—1881no—
1591D8—942no—
1592D8—942no—
1593D8—942no—
1594D8—942no—
1595D8—1881no—
1596D8—1881no—
1597D8—1881no—
1598D8—1881no—
1599M16—41no—
1600M16—1881no—
1601M16—1881no—
1602M16—1881no—
1603C2×C8—41no—
1604C2×C8—471no—
1605C2×C8—471no—
1606C2×C8—471no—
1607C2×C8—471no—
1608C2×C8—1881no—
1609C2×C8—1881no—
1610C2×C8—1881no—
1611C2×C8C23×D4711yescharacteristic
1612C2×C8C23×D4711yescharacteristic
1613C2×C8C23×D4711yescharacteristic
1614C2×C8C23×D4711yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—471no—
1622C4⋊C4—471no—
1623C4⋊C4—471no—
1624C4⋊C4—471no—
1625C4⋊C4—471no—
1626C4⋊C4—941no—
1627C4⋊C4—941no—
1628C4⋊C4—941no—
1629C4⋊C4—941no—
1630C4⋊C4—941no—
1631C4⋊C4—941no—
1632C4⋊C4—941no—
1633C4⋊C4—941no—
1634C4⋊C4—941no—
1635C4⋊C4—941no—
1636C4⋊C4—941no—
1637C4⋊C4—941no—
1638C4⋊C4—941no—
1639C4⋊C4—941no—
1640C4⋊C4—941no—
1641C4⋊C4D4×D4711yescharacteristic
1642C4⋊C4C23×D4711yescharacteristic
1643C4⋊C4C23×D4711yescharacteristic
1644C4⋊C4C23×D4711yescharacteristic
1645C4⋊C4C23×D4711yescharacteristic
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—471no—
1653C22⋊C4—471no—
1654C22⋊C4—471no—
1655C22⋊C4—471no—
1656C22⋊C4—471no—
1657C22⋊C4—471no—
1658C22⋊C4—941no—
1659C22⋊C4—941no—
1660C22⋊C4—941no—
1661C22⋊C4—941no—
1662C22⋊C4—941no—
1663C22⋊C4—941no—
1664C22⋊C4—941no—
1665C22⋊C4—941no—
1666C22⋊C4—941no—
1667C22⋊C4—941no—
1668C22⋊C4—941no—
1669C22⋊C4—941no—
1670C22⋊C4—941no—
1671C22⋊C4—941no—
1672C22⋊C4—941no—
1673C22⋊C4—941no—
1674C22⋊C4—941no—
1675C22⋊C4—941no—
1676C22⋊C4—941no—
1677C22⋊C4—941no—
1678C22⋊C4—941no—
1679C22⋊C4—941no—
1680C22⋊C4—941no—
1681C22⋊C4—941no—
1682C22⋊C4—941no—
1683C22⋊C4—941no—
1684C22⋊C4—941no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4D4×D4711yescharacteristic
1689C22⋊C4D4×D4711yescharacteristic
1690C42—21no—
1691C42—21no—
1692C42—471no—
1693C42—471no—
1694C42—471no—
1695C42—941no—
1696C42—941no—
1697C42C23×D4711yescharacteristic
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—42no—
1702C23—42no—
1703C23—81no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—471no—
1708C23—471no—
1709C23—471no—
1710C23—944no—
1711C23—941no—
1712C23—941no—
1713C23—941no—
1714C23—3761no—
1715C23—3761no—
1716C23—3761no—
1717C23—3761no—
1718C23—3761no—
1719C23—3761no—
1720C23—3761no—
1721C23—3761no—
1722C23—3761no—
1723C23—1882no—
1724C23—1882no—
1725C23C2×D4×D4711yescharacteristic
1726C23C2×D4×D4711yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—941no—
1730Q8—941no—
1731Q8—941no—
1732Q8—941no—
1733Q8—941no—
1734Q8—941no—
1735Q8—3761no—
1736Q8—1881no—
1737Q8—1881no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—41no—
1744D4—42no—
1745D4—42no—
1746D4—42no—
1747D4—81no—
1748D4—81no—
1749D4—81no—
1750D4—472no—
1751D4—944no—
1752D4—941no—
1753D4—941no—
1754D4—941no—
1755D4—941no—
1756D4—941no—
1757D4—3761no—
1758D4—3761no—
1759D4—3761no—
1760D4—3761no—
1761D4—3761no—
1762D4—3761no—
1763D4—3761no—
1764D4—3761no—
1765D4—3761no—
1766D4—3761no—
1767D4—3761no—
1768D4—1881no—
1769D4—1881no—
1770D4—1881no—
1771D4—1881no—
1772D4—1881no—
1773D4—1881no—
1774D4—1881no—
1775D4—1881no—
1776D4—1881no—
1777D4—1882no—
1778D4—1882no—
1779D4—1882no—
1780D4—1882no—
1781D4—1882no—
1782D4—1882no—
1783D4—1882no—
1784D4—1882no—
1785D4#1309407012yes—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—42no—
1796C2×C4—81no—
1797C2×C4—471no—
1798C2×C4—471no—
1799C2×C4—471no—
1800C2×C4—471no—
1801C2×C4—471no—
1802C2×C4—941no—
1803C2×C4—941no—
1804C2×C4—941no—
1805C2×C4—941no—
1806C2×C4—941no—
1807C2×C4—941no—
1808C2×C4—941no—
1809C2×C4—941no—
1810C2×C4—941no—
1811C2×C4—941no—
1812C2×C4—941no—
1813C2×C4—3761no—
1814C2×C4—3761no—
1815C2×C4—3761no—
1816C2×C4—3761no—
1817C2×C4—3761no—
1818C2×C4—3761no—
1819C2×C4—3761no—
1820C2×C4—3761no—
1821C2×C4—3761no—
1822C2×C4—1881no—
1823C2×C4—1881no—
1824C2×C4—1882no—
1825C2×C4—1882no—
1826C2×C4—1882no—
1827C2×C4—1882no—
1828C2×C4—1882no—
1829C2×C4—1882no—
1830C2×C4—1882no—
1831C2×C4C2×D4×D4711yescharacteristic
1832C2×C4C2×D4×D4711yescharacteristic
1833C2×C4C2×D4×D4711yescharacteristic
1834C2×C4C2×D4×D4711yescharacteristic
1835C2×C4C24×D4711yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—941no—
1841C8—941no—
1842C8—941no—
1843C8—941no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—22no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—162no—
1860C22—162no—
1861C22—941no—
1862C22—941no—
1863C22—941no—
1864C22—941no—
1865C22—941no—
1866C22—941no—
1867C22—941no—
1868C22—941no—
1869C22—941no—
1870C22—942no—
1871C22—3764no—
1872C22—1881no—
1873C22—1881no—
1874C22—1881no—
1875C22—1881no—
1876C22—1881no—
1877C22—1881no—
1878C22—1881no—
1879C22—1881no—
1880C22—7522no—
1881C22—7522no—
1882C22—7522no—
1883C22C22×D4×D4711yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—941no—
1894C4—941no—
1895C4—941no—
1896C4—941no—
1897C4—941no—
1898C4—1881no—
1899C4—1881no—
1900C4—1881no—
1901C4—1881no—
1902C4—1881no—
1903C4H(5,𝔽2)×D4711yescharacteristic
1904C4C2×#1309407011yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—42no—
1908C2—81no—
1909C2—81no—
1910C2—3761no—
1911C2—3761no—
1912C2—1881no—
1913C2—1881no—
1914C2—1881no—
1915C2—1882no—
1916C2#2025701811yescharacteristic
1917C2#2025816011yescharacteristic
1918C2#2025816411yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3310C2
socleC22×C47C23×D4
hypercenter#3310D47
hypocenterC47#61678
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #20257816C2semidirect
2. #20257144C2semidirect
3. #20255600C2semidirect
4. #20255592C2semidirect
5. #20255528C2semidirect
6. #20255478C2semidirect
7. #20255361C2semidirect
8. #20255234C2semidirect
9. #20255226C2semidirect
10. #20255102C2semidirect
11. #20255066C2semidirect
12. #20255023C2semidirect
13. #20254996C2semidirect
14. #20254945C2semidirect
15. #20254918C2semidirect
16. #20254878C2semidirect
17. #20254864C2semidirect
18. #20254426C2semidirect
19. #20254368C2semidirect
20. #20254293C2semidirect
21. #20254288C2semidirect
22. #20254265C2semidirect
23. #20254238C2semidirect
24. #20253530C2semidirect
25. #20253440C2semidirect
26. #20252697C2semidirect
27. #20252693C2semidirect
28. #20252660C2semidirect
29. #20252657C2semidirect
30. #20252460C2semidirect
31. C47×#3310C2semidirect
33. C2×#13094069C22semidirect
34. C2×#13094053C22semidirect
35. C2×#13094052C22semidirect
36. C2×#13094051C22semidirect
37. C2×#13094050C22semidirect
38. C2×#13094046C22semidirect
39. C2×#13094045C22semidirect
40. C2×SD16×D47C22semidirect
41. C22×#10625334C22semidirect
45. #15689826C22semidirect
46. #15689821C22semidirect
47. #15689812C22semidirect
49. #15689785C22semidirect
50. #15689783C22semidirect
52. #15689777C22semidirect
55. #15689770C22semidirect
56. #15689769C22semidirect
58. #15689767C22semidirect
59. #15689764C22semidirect
62. #15689758C22semidirect
68. #15689704C22semidirect
69. #15689703C22semidirect
71. #15689702C22semidirect
72. #15689696C22semidirect
73. #15689692C22semidirect
76. #15689671C22semidirect
78. #15689660C22semidirect
79. #15689658C22semidirect
82. C4×D4×D47C22semidirect
83. #15689517C22semidirect
84. #15689510C22semidirect
85. #15689504C22semidirect
86. #15689504C22semidirect
87. #15689493C22semidirect
88. #15689476C22semidirect
89. #15689476C22semidirect
90. #15689466C22semidirect
91. #15689464C22semidirect
92. #15689460C22semidirect
93. #15689458C22semidirect
94. #15689455C22semidirect
95. #15689452C22semidirect
96. #15689446C22semidirect
97. #15689443C22semidirect
98. #15689440C22semidirect
99. #15689438C22semidirect
100. #15689426C22semidirect
101. #15689425C22semidirect
102. #15689420C22semidirect
103. #15689381C22semidirect
104. #15689379C22semidirect
105. #15689375C22semidirect
106. #15689374C22semidirect
107. #15689370C22semidirect
108. #15689370C22semidirect
109. #15689368C22semidirect
110. #15689365C22semidirect
111. #15689362C22semidirect
112. #15689358C22semidirect
113. #15689358C22semidirect
114. #15689353C22semidirect
115. #15689352C22semidirect
116. #15689350C22semidirect
117. #15689344C22semidirect
118. #15689344C22semidirect
119. #15689341C22semidirect
120. #15689340C22semidirect
121. #15689339C22semidirect
122. #15689338C22semidirect
123. #15689337C22semidirect
124. #15689337C22semidirect
125. #15689333C22semidirect
126. #15689329C22semidirect
127. #15689315C22semidirect
128. #15689288C22semidirect
129. #15689287C22semidirect
130. #15689287C22semidirect
131. #15689286C22semidirect
132. #15689286C22semidirect
133. #15689286C22semidirect
134. #15689283C22semidirect
135. #15689283C22semidirect
136. #15689282C22semidirect
137. #15689282C22semidirect
138. #15689280C22semidirect
139. #15689276C22semidirect
140. #15689275C22semidirect
141. #15689275C22semidirect
142. #15689274C22semidirect
143. #15689272C22semidirect
144. #15689270C22semidirect
145. #15689269C22semidirect
146. #15689269C22semidirect
147. #15689269C22semidirect
148. #15689269C22semidirect
149. #15689269C22semidirect
150. #15689269C22semidirect
151. #15689269C22semidirect
152. #15689267C22semidirect
153. #15689266C22semidirect
154. #15689260C22semidirect
157. #15689258C22semidirect
158. #15689258C22semidirect
159. #15689258C22semidirect
160. #15689257C22semidirect
161. #15689256C22semidirect
162. #15689236C22semidirect
163. #15689233C22semidirect
164. #15689221C22semidirect
165. #15689214C22semidirect
166. #15689210C22semidirect
167. #15689205C22semidirect
168. #15689203C22semidirect
169. #15689199C22semidirect
170. #15689198C22semidirect
171. #15689196C22semidirect
172. #15689195C22semidirect
173. #15689193C22semidirect
174. C8×C22⋊D47C22semidirect
175. (C22⋊D47)⋊C8C22semidirect
176. #15689178C22semidirect
177. #15689175C22semidirect
178. #15689126C22semidirect
179. #15689122C22semidirect
180. #15689121C22semidirect
181. #15689117C22semidirect
182. #15689116C22semidirect
183. #102×D47C22semidirect
184. #15689091C22semidirect
185. #15689089C22semidirect
186. #15689088C22semidirect
187. #15689088C22semidirect
188. C47×#552C22semidirect
190. C47×#490C22semidirect
191. C47×#482C22semidirect
192. C47×#480C22semidirect
193. C47×#478C22semidirect
194. C47×#468C22semidirect
195. C47×#465C22semidirect
196. C47×#460C22semidirect
197. C47×#450C22semidirect
198. C47×#450C22semidirect
199. C47×#440C22semidirect
200. C47×#435C22semidirect
201. C47×#418C22semidirect
202. C2×#102×C47C22semidirect
952. #3310D47semidirect
1007. #552C2×D47semidirect
1049. #490C2×D47semidirect
1059. #482C2×D47semidirect
1063. #480C2×D47semidirect
1067. #478C2×D47semidirect
1075. #468C2×D47semidirect
1083. #465C2×D47semidirect
1094. #460C2×D47semidirect
1112. #450C2×D47semidirect
1113. #450C2×D47semidirect
1135. #440C2×D47semidirect
1145. #435C2×D47semidirect
1151. #418C2×D47semidirect
1157. C2×#102C2×D47semidirect
1162. C47#61678semidirect

Maximal subgroups

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

subgroupindex
#202578162
#202571442
#202556002
#202555922
#202555282
#202554782
#202553612
#202552342
#202552262
#202551022
#202550662
#202550232
#202549962
#202549452
#202549182
#202548782
#202548642
#202544262
#202543682
#202542932
#202542882
#202542652
#202542382
#202535302
#202534402
#202526972
#202526932
#202526602
#202526572
#202524602
C47×#33102
#6167847