Finite Group Databasebeta

← #27112036

Subgroups — #27112036

Order 12032.

1974 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257266C211yesmaximal, characteristic, complemented
2D4×#10625352C211yesmaximal, characteristic
3#20256310C211yesmaximal, characteristic, complemented
4#20256304C211yesmaximal, characteristic, complemented
5#20256114C211yesmaximal, characteristic, complemented
6#20256112C211yesmaximal, characteristic, complemented
7#20255970C211yesmaximal, characteristic, complemented
8#20255967C211yesmaximal, characteristic, complemented
9#20255834C211yesmaximal, characteristic, complemented
10#20255832C211yesmaximal, characteristic, complemented
11#20255830C211yesmaximal, characteristic, complemented
12#20255828C211yesmaximal, characteristic, complemented
13#20255615C211yesmaximal, characteristic, complemented
14#20255612C211yesmaximal, characteristic, complemented
15#20255413C211yesmaximal, characteristic, complemented
16#20255409C211yesmaximal, characteristic, complemented
17#20255405C211yesmaximal, characteristic, complemented
18#20254773C211yesmaximal, characteristic, complemented
19#20254770C211yesmaximal, characteristic, complemented
20#20254699C211yesmaximal, characteristic, complemented
21#20254583C211yesmaximal, characteristic, complemented
22#20254581C211yesmaximal, characteristic, complemented
23#20254507C211yesmaximal, characteristic, complemented
24#20253485C211yesmaximal, characteristic, complemented
25#20253482C211yesmaximal, characteristic, complemented
26#20253391C211yesmaximal, characteristic, complemented
27#20253183C211yesmaximal, characteristic, complemented
28#20253182C211yesmaximal, characteristic, complemented
29C2×#15689401C211yesmaximal, characteristic, complemented
30#20252500C211yesmaximal, characteristic, complemented
31C47×#3310C211yesmaximal, characteristic, complemented
32C22×#10625352—21no—
33#15689850—21no—
34#15689850C2211yescharacteristic, complemented
35#15689849C2211yescharacteristic, complemented
36#15689844C2211yescharacteristic, complemented
37#15689841C2211yescharacteristic, complemented
38#15689840—21no—
39#15689815C2211yescharacteristic, complemented
40#15689813C2211yescharacteristic, complemented
41#15689810—21no—
42#15689808C2211yescharacteristic, complemented
43#15689806—21no—
44#15689793C2211yescharacteristic
45D4×Dic94C2211yescharacteristic
46#15689779—21no—
47#15689777C2211yescharacteristic
48#15689773C2211yescharacteristic
49#15689773C2211yescharacteristic
50#15689767—21no—
51#15689760—21no—
52#15689760—21no—
53D4×C22⋊D47C2211yescharacteristic
54D4×C22⋊D47C2211yescharacteristic
55#15689732—21no—
56#15689730—21no—
57#15689695—21no—
58#15689679C2211yescharacteristic, complemented
59#15689677C2211yescharacteristic, complemented
60#15689676C2211yescharacteristic, complemented
61#15689675C2211yescharacteristic, complemented
62#15689675C2211yescharacteristic, complemented
63#15689671C2211yescharacteristic
64#15689668C2211yescharacteristic
65#15689668C2211yescharacteristic
66C2×#13094023C2211yescharacteristic, complemented
67#15689633—21no—
68#15689629—21no—
69#15689629—21no—
70#15689600—21no—
71C4×#10625352C2211yescharacteristic
72C2×D4×Dic47C2211yescharacteristic
73C2×D4×Dic47C2211yescharacteristic
74C4×D4×D47C2211yescharacteristic
75#15689533C2211yescharacteristic, complemented
76#15689532C2211yescharacteristic, complemented
77#15689531C2211yescharacteristic, complemented
78#15689530C2211yescharacteristic, complemented
79#15689527C2211yescharacteristic, complemented
80#15689527C2211yescharacteristic, complemented
81#15689487C2211yescharacteristic, complemented
82#15689486C2211yescharacteristic, complemented
83#15689486C2211yescharacteristic, complemented
84#15689468C2211yescharacteristic, complemented
85#15689468C2211yescharacteristic, complemented
86#15689460C2211yescharacteristic, complemented
87#15689459C2211yescharacteristic, complemented
88#15689457C2211yescharacteristic, complemented
89#15689456C2211yescharacteristic, complemented
90#15689454C2211yescharacteristic, complemented
91#15689451C2211yescharacteristic, complemented
92#15689448C2211yescharacteristic, complemented
93#15689447C2211yescharacteristic, complemented
94#15689446C2211yescharacteristic, complemented
95#15689446C2211yescharacteristic, complemented
96#15689445C2211yescharacteristic, complemented
97#15689445C2211yescharacteristic, complemented
98#15689444C2211yescharacteristic, complemented
99#15689437C2211yescharacteristic, complemented
100#15689436C2211yescharacteristic, complemented
101#15689434C2211yescharacteristic, complemented
102#15689425C2211yescharacteristic
103#15689425C2211yescharacteristic, complemented
104#15689424C2211yescharacteristic, complemented
105#15689423C2211yescharacteristic
106#15689421C2211yescharacteristic
107#15689421C2211yescharacteristic, complemented
108#15689420C2211yescharacteristic, complemented
109#15689419C2211yescharacteristic, complemented
110#15689418C2211yescharacteristic, complemented
111#15689417C2211yescharacteristic, complemented
112#15689416C2211yescharacteristic, complemented
113#15689412C2211yescharacteristic, complemented
114#15689411C2211yescharacteristic
115#15689411C2211yescharacteristic, complemented
116#15689411C2211yescharacteristic, complemented
117#15689407C2211yescharacteristic, complemented
118#15689406C2211yescharacteristic, complemented
119#15689402C2211yescharacteristic, complemented
120#15689402C2211yescharacteristic, complemented
121#15689401C2211yescharacteristic
122#15689401C2211yescharacteristic
123#15689401C2211yescharacteristic
124#15689401C2211yescharacteristic
125#15689401C2211yescharacteristic, complemented
126#15689401C2211yescharacteristic, complemented
127#15689401C2211yescharacteristic, complemented
128#15689401C2211yescharacteristic, complemented
129#15689401C2211yescharacteristic, complemented
130#15689401C2211yescharacteristic, complemented
131#15689371C2211yescharacteristic, complemented
132#15689369C2211yescharacteristic, complemented
133#15689368C2211yescharacteristic, complemented
134#15689368C2211yescharacteristic, complemented
135#15689367C2211yescharacteristic, complemented
136#15689366C2211yescharacteristic, complemented
137#15689366C2211yescharacteristic, complemented
138#15689354C2211yescharacteristic, complemented
139#15689352C2211yescharacteristic, complemented
140#15689350C2211yescharacteristic, complemented
141#15689327C2211yescharacteristic, complemented
142#15689326C2211yescharacteristic
143#15689326C2211yescharacteristic, complemented
144#15689326C2211yescharacteristic, complemented
145#15689322C2211yescharacteristic, complemented
146#15689322C2211yescharacteristic, complemented
147#15689321C2211yescharacteristic, complemented
148#15689321C2211yescharacteristic, complemented
149#15689320C2211yescharacteristic, complemented
150#15689275C2211yescharacteristic
151#15689274C2211yescharacteristic
152#15689274C2211yescharacteristic
153#15689272C2211yescharacteristic
154#15689252C2211yescharacteristic, complemented
155#15689251C2211yescharacteristic, complemented
156#15689225C2211yescharacteristic, complemented
157#15689224C2211yescharacteristic
158#15689224C2211yescharacteristic, complemented
159#15689223C2211yescharacteristic
160#15689221C2211yescharacteristic, complemented
161#15689220C2211yescharacteristic
162#15689220C2211yescharacteristic, complemented
163#15689214C2211yescharacteristic
164#15689214C2211yescharacteristic, complemented
165SD16×Dic47C2211yescharacteristic
166SD16×Dic47C2211yescharacteristic, complemented
167#15689199C2211yescharacteristic, complemented
168#15689198C2211yescharacteristic, complemented
169#15689195C2211yescharacteristic, complemented
170#15689194C2211yescharacteristic, complemented
171#15689191C2211yescharacteristic, complemented
172#15689178C2211yescharacteristic, complemented
173#15689177C2211yescharacteristic, complemented
174#15689173C2211yescharacteristic, complemented
175#15689166C2211yescharacteristic, complemented
176#15689165C2211yescharacteristic, complemented
177#15689164C2211yescharacteristic, complemented
178#15689162C2211yescharacteristic, complemented
179C2×#13093958C2211yescharacteristic, complemented
180C2×#13093957C2211yescharacteristic, complemented
181#15689146C2211yescharacteristic, complemented
182#15689145C2211yescharacteristic, complemented
183C2×Dic47⋊C8C2211yescharacteristic, complemented
184#15689128C2211yescharacteristic
185#15689126C2211yescharacteristic
186#15689126C2211yescharacteristic
187C2×#13093945C2211yescharacteristic
188C47×#552C2211yescharacteristic, complemented
189D42×C47C2211yescharacteristic
190C47×#490C2211yescharacteristic, complemented
191C47×#482C2211yescharacteristic, complemented
192C47×#480C2211yescharacteristic, complemented
193C47×#478C2211yescharacteristic
194C47×#468C2211yescharacteristic, complemented
195C47×#465C2211yescharacteristic, complemented
196C47×#460C2211yescharacteristic, complemented
197C47×#450C2211yescharacteristic
198C47×#450C2211yescharacteristic
199C47×#440C2211yescharacteristic
200C47×#435C2211yescharacteristic, complemented
201C47×#418C2211yescharacteristic
202C2×#102×C47C2211yescharacteristic
203C2×#10625352—21no—
204C2×#10625352—21no—
205C2×#10625352—21no—
206C2×#10625352—21no—
207C2×#10625352—21no—
208C2×#10625352—21no—
209C2×#10625352—21no—
210C2×#10625352—48no—
211C2×#10625352D411yescharacteristic
212C22×Dic94—21no—
213C22×Dic94—21no—
214C22×C22⋊D47—21no—
215C22×C22⋊D47—21no—
216C2×D4×D47C2311yescharacteristic
217C23×Dic47—21no—
218C23×Dic47—21no—
219C22×C4×D47—21no—
220C2×#10625325C2311yescharacteristic
221C2×#10625335C2311yescharacteristic
222C2×#10625335C2311yescharacteristic
223C2×#10625335C2311yescharacteristic
224C2×#10625336C2311yescharacteristic
225C2×#10625329C2311yescharacteristic
226C2×#10625324C2311yescharacteristic
227C2×#10625324C2311yescharacteristic
228C22×C47⋊C8C2311yescharacteristic
229#13094024C2311yescharacteristic
230#13094023—21no—
231#13094023—21no—
232#13094023—21no—
233#13094023—21no—
234#13094023C2311yescharacteristic
235#13094023C2311yescharacteristic
236#13094023C2311yescharacteristic
237#13094023C2311yescharacteristic
238#13094023C2311yescharacteristic
239#13094023C2311yescharacteristic
240#13094023C2311yescharacteristic
241#13094022C2311yescharacteristic
242#13094020C2311yescharacteristic
243#13094020C2311yescharacteristic
244#13094019—21no—
245#13094019—21no—
246#13094019—21no—
247#13094018—21no—
248#13094017—21no—
249#13094017—21no—
250#13094017—21no—
251#13094016—21no—
252#13094016C2311yescharacteristic
253#13094015—21no—
254#13094015—21no—
255#13094015C2311yescharacteristic
256#13094015C2311yescharacteristic
257#13094014—21no—
258#13094014—21no—
259#13094014—21no—
260#13094014—21no—
261#13094014—21no—
262#13094014—21no—
263#13094014—21no—
264#13094011—21no—
265#13094010—21no—
266#13094010—21no—
267#13094010—21no—
268#13094010—21no—
269#13094008—21no—
270#13094008—21no—
271#13094008—21no—
272#13094007—21no—
273#13094006—21no—
274#13094006—21no—
275#13094005—21no—
276#13094005—21no—
277#13094005—21no—
278#13094004—21no—
279#13094004C2311yescharacteristic
280#13094003—21no—
281#13094003C2311yescharacteristic
282#13094003C2311yescharacteristic
283#13094002—21no—
284#13094002—21no—
285#13094002—21no—
286#13094001—21no—
287#13094001—21no—
288#13094001—21no—
289#13094001—21no—
290#13094001—21no—
291#13094001—21no—
292#13094001—21no—
293#13094001—21no—
294#13094000C2311yescharacteristic
295#13093998C2311yescharacteristic
296#13093998C2311yescharacteristic
297#13093996—21no—
298#13093996—21no—
299#13093996—21no—
300#13093996—21no—
301#13093996—21no—
302#13093996—21no—
303#13093995—21no—
304#13093995—21no—
305#13093995C2311yescharacteristic
306#13093995C2311yescharacteristic
307#13093993—21no—
308#13093993—21no—
309#13093992—21no—
310#13093992—21no—
311Q8×Dic47C2311yescharacteristic
312Q8×Dic47C2311yescharacteristic
313C4×Dic94—21no—
314C4×Dic94—21no—
315C4×Dic94—21no—
316C4×Dic94—21no—
317C4×Dic94—21no—
318C4×Dic94C2311yescharacteristic
319C4×Dic94C2311yescharacteristic
320#13093989—21no—
321#13093989—21no—
322#13093989—21no—
323#13093989—21no—
324#13093989—21no—
325#13093989—21no—
326#13093989D411yescharacteristic
327#13093989C2311yescharacteristic
328#13093989C2311yescharacteristic
329C4×D188C2311yescharacteristic
330D4×Dic47—21no—
331D4×Dic47—21no—
332D4×Dic47—21no—
333D4×Dic47—21no—
334D4×Dic47—21no—
335D4×Dic47D411yescharacteristic
336D4×Dic47C2311yescharacteristic
337D4×Dic47C2311yescharacteristic
338D4×Dic47C2311yescharacteristic
339D4×Dic47C2311yescharacteristic
340D4×Dic47C2311yescharacteristic
341D4×Dic47C2311yescharacteristic
342D4×Dic47C2311yescharacteristic
343#13093986C2311yescharacteristic
344C4×C22⋊D47—21no—
345C4×C22⋊D47C2311yescharacteristic
346C4×C22⋊D47C2311yescharacteristic
347(C22⋊D47)⋊C4—21no—
348(C22⋊D47)⋊C4—21no—
349(C22⋊D47)⋊C4—21no—
350(C22⋊D47)⋊C4D411yescharacteristic
351(C22⋊D47)⋊C4D411yescharacteristic
352#13093983—21no—
353#13093983C2311yescharacteristic
354#13093982D411yescharacteristic
355#13093982C2311yescharacteristic
356#13093982C2311yescharacteristic
357#13093981—21no—
358#13093980—21no—
359#13093980—21no—
360#13093980—21no—
361#13093980—21no—
362#13093980D411yescharacteristic
363#13093980D411yescharacteristic
364C2×C4⋊Dic47C2311yescharacteristic
365C2×C4⋊Dic47C2311yescharacteristic
366C2×C4⋊Dic47C2311yescharacteristic
367C2×Dic47⋊C4—21no—
368C4⋊C4×D47C2311yescharacteristic
369C2×C22⋊Dic47—21no—
370C2×C22⋊Dic47—21no—
371C22⋊C4×D47—21no—
372C2×C4×Dic47C2311yescharacteristic
373C2×C4×Dic47C2311yescharacteristic
374C42×D47C2311yescharacteristic
375#13093958C2311yescharacteristic
376#13093958C2311yescharacteristic
377#13093958C2311yescharacteristic
378#13093958C2311yescharacteristic
379#13093958C2311yescharacteristic
380#13093958C2311yescharacteristic
381#13093957C2311yescharacteristic
382#13093957C2311yescharacteristic
383#13093957C2311yescharacteristic
384#13093957C2311yescharacteristic
385#13093957C2311yescharacteristic
386#13093957C2311yescharacteristic
387#13093957C2311yescharacteristic
388#13093957C2311yescharacteristic
389#13093956C2311yescharacteristic
390#13093956C2311yescharacteristic
391#13093956C2311yescharacteristic
392#13093955C2311yescharacteristic
393#13093955C2311yescharacteristic
394#13093955C2311yescharacteristic
395#13093955C2311yescharacteristic
396C4⋊(C47⋊C8)C2311yescharacteristic
397Dic47⋊C8C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399Dic47⋊C8C2311yescharacteristic
400Dic47⋊C8C2311yescharacteristic
401Dic47⋊C8C2311yescharacteristic
402Dic47⋊C8C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093948C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093947C2311yescharacteristic
412#13093946C2311yescharacteristic
413#13093946C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093945C2311yescharacteristic
416#13093945C2311yescharacteristic
417#13093945C2311yescharacteristic
418#13093945C2311yescharacteristic
419#13093945C2311yescharacteristic
420#13093945C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093944C2311yescharacteristic
425#13093944C2311yescharacteristic
426#13093944C2311yescharacteristic
427C22⋊(C47⋊C8)C2311yescharacteristic
428C22⋊(C47⋊C8)C2311yescharacteristic
429(C2×D47)⋊C8C2311yescharacteristic
430(C2×D47)⋊C8C2311yescharacteristic
431#13093935C2311yescharacteristic
432#13093934C2311yescharacteristic
433#13093934C2311yescharacteristic
434C8×Dic47C2311yescharacteristic
435C8×Dic47C2311yescharacteristic
436C22×D4×C47—21no—
437C22×D4×C47C2311yescharacteristic
438C22×D4×C47C2311yescharacteristic
439C2×SD16×C47C2311yescharacteristic
440C2×SD16×C47C2311yescharacteristic
441C2×SD16×C47C2311yescharacteristic
442C2×M16×C47C2311yescharacteristic
443C22×C8×C47C2311yescharacteristic
444#127×C47C2311yescharacteristic
445#126×C47—21no—
446#125×C47—21no—
447#125×C47C2311yescharacteristic
448#123×C47—21no—
449C22⋊Q8×C47C2311yescharacteristic
450C22⋊Q8×C47C2311yescharacteristic
451#121×C47—21no—
452#121×C47C2311yescharacteristic
453#121×C47C2311yescharacteristic
454#120×C47—21no—
455#120×C47—21no—
456C4×Q8×C47C2311yescharacteristic
457C4×D4×C47C2311yescharacteristic
458C4×D4×C47C2311yescharacteristic
459#117×C47—21no—
460#117×C47C2311yescharacteristic
461C2×C4⋊C4×C47C2311yescharacteristic
462#107×C47C2311yescharacteristic
463#107×C47C2311yescharacteristic
464#106×C47C2311yescharacteristic
465C4⋊C8×C47C2311yescharacteristic
466#103×C47C2311yescharacteristic
467#102×C47C2311yescharacteristic
468#102×C47C2311yescharacteristic
469#102×C47C2311yescharacteristic
470#102×C47C2311yescharacteristic
471#102×C47C2311yescharacteristic
472#102×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#102×C47C2311yescharacteristic
476C22⋊C8×C47C2311yescharacteristic
477C22⋊C8×C47C2311yescharacteristic
478#97×C47C2311yescharacteristic
479C24×C47—21no—
480C24×C47—21no—
481C23×D47—21no—
482C2×Q8×C47C2411yescharacteristic
483C2×D4×C47—22no—
484C2×D4×C47—22no—
485C2×D4×C47—21no—
486C2×D4×C47—21no—
487C2×D4×C47—21no—
488C2×D4×C47—21no—
489C2×D4×C47—21no—
490C2×D4×C47—21no—
491C2×D4×C47—41no—
492C2×D4×C47—41no—
493C2×D4×C47—44no—
494C2×D4×C47C2×D411yescharacteristic
495C2×D4×C47C2411yescharacteristic
496C2×D4×C47C2411yescharacteristic
497C2×D4×C47C2411yescharacteristic
498C22×C4×C47—21no—
499C22×C4×C47—21no—
500C22×C4×C47C2411yescharacteristic
501C22×C4×C47C2411yescharacteristic
502C2×C22⋊D47—21no—
503C2×C22⋊D47—21no—
504C2×C22⋊D47—21no—
505C2×C22⋊D47—21no—
506C2×C22⋊D47—21no—
507C2×C22⋊D47—21no—
508C2×C22⋊D47—21no—
509C2×C22⋊D47—21no—
510C2×C22⋊D47—21no—
511C2×C22⋊D47—44no—
512C2×C22⋊D47—44no—
513C2×C22⋊D47C2×D411yescharacteristic
514C2×C22⋊D47C2×D411yescharacteristic
515C22×Dic47—21no—
516C22×Dic47—21no—
517C22×Dic47—21no—
518C22×Dic47—21no—
519C22×Dic47—21no—
520C22×Dic47—21no—
521C22×Dic47—21no—
522C22×Dic47—21no—
523C22×Dic47—21no—
524C22×Dic47—21no—
525C22×Dic47—44no—
526C22×Dic47—44no—
527C22×Dic47C2×D411yescharacteristic
528C22×Dic47C2×D411yescharacteristic
529C22×Dic47C2×D411yescharacteristic
530C22×Dic47C2×D411yescharacteristic
531#10625352—24no—
532#10625352—44no—
533#10625352—44no—
534#10625352—44no—
535#10625352—44no—
536#10625352—44no—
537#10625352—44no—
538#10625352—44no—
539D4×D47—22no—
540D4×D47—41no—
541C2×D188C2411yescharacteristic
542C2×C4×D47—21no—
543C2×C4×D47—21no—
544C2×C4×D47—21no—
545C2×C4×D47—44no—
546C2×C4×D47C2×D411yescharacteristic
547C2×C4×D47C2×D411yescharacteristic
548C2×C4×D47C2411yescharacteristic
549C2×Dic94—21no—
550C2×Dic94—21no—
551C2×Dic94—21no—
552C2×Dic94—21no—
553C2×Dic94—21no—
554C2×Dic94—21no—
555C2×Dic94—21no—
556C2×Dic94—21no—
557C2×Dic94—44no—
558C2×Dic94—44no—
559C2×Dic94C2×D411yescharacteristic
560C2×Dic94C2411yescharacteristic
561SD16×C47—22no—
562SD16×C47—41no—
563SD16×C47—41no—
564M16×C47—41no—
565C2×C8×C47—41no—
566C2×C8×C47C2411yescharacteristic
567C2×C8×C47C2411yescharacteristic
568C2×C8×C47C2411yescharacteristic
569C2×C8×C47C2411yescharacteristic
570C4⋊C4×C47—21no—
571C4⋊C4×C47—21no—
572C4⋊C4×C47—21no—
573C4⋊C4×C47—21no—
574C4⋊C4×C47—21no—
575C4⋊C4×C47—21no—
576C4⋊C4×C47C2×D411yescharacteristic
577C4⋊C4×C47C2411yescharacteristic
578C4⋊C4×C47C2411yescharacteristic
579C4⋊C4×C47C2411yescharacteristic
580C4⋊C4×C47C2411yescharacteristic
581C22⋊C4×C47—21no—
582C22⋊C4×C47—21no—
583C22⋊C4×C47—21no—
584C22⋊C4×C47—21no—
585C22⋊C4×C47—21no—
586C22⋊C4×C47—21no—
587C22⋊C4×C47C2×D411yescharacteristic
588C22⋊C4×C47C2×D411yescharacteristic
589C42×C47—21no—
590C42×C47—21no—
591C42×C47C2411yescharacteristic
592C22⋊Dic47—21no—
593C22⋊Dic47—21no—
594C22⋊Dic47—21no—
595C22⋊Dic47—21no—
596C22⋊Dic47—21no—
597C22⋊Dic47—21no—
598C22⋊Dic47—21no—
599C22⋊Dic47—21no—
600C22⋊Dic47—21no—
601C22⋊Dic47—21no—
602C22⋊Dic47—21no—
603C22⋊Dic47—21no—
604C22⋊Dic47C2×D411yescharacteristic
605C22⋊Dic47C2×D411yescharacteristic
606#10625336—41no—
607#10625335—22no—
608#10625335—41no—
609#10625335—41no—
610(C2×D47)⋊C4—21no—
611(C2×D47)⋊C4—21no—
612(C2×D47)⋊C4—21no—
613(C2×D47)⋊C4—21no—
614(C2×D47)⋊C4—21no—
615(C2×D47)⋊C4—21no—
616(C2×D47)⋊C4—21no—
617(C2×D47)⋊C4—21no—
618(C2×D47)⋊C4C2×D411yescharacteristic
619(C2×D47)⋊C4C2×D411yescharacteristic
620C4⋊Dic47—21no—
621C4⋊Dic47—21no—
622C4⋊Dic47—21no—
623C4⋊Dic47—21no—
624C4⋊Dic47—21no—
625C4⋊Dic47—21no—
626C4⋊Dic47—21no—
627C4⋊Dic47—21no—
628C4⋊Dic47—21no—
629C4⋊Dic47C2×D411yescharacteristic
630C4⋊Dic47C2411yescharacteristic
631C4⋊Dic47C2411yescharacteristic
632C4⋊Dic47C2411yescharacteristic
633C4⋊Dic47C2411yescharacteristic
634C4⋊Dic47C2411yescharacteristic
635C4⋊Dic47C2411yescharacteristic
636Dic47⋊C4—21no—
637Dic47⋊C4—21no—
638Dic47⋊C4—21no—
639Dic47⋊C4—21no—
640Dic47⋊C4—21no—
641Dic47⋊C4—21no—
642Dic47⋊C4—21no—
643Dic47⋊C4—21no—
644Dic47⋊C4—21no—
645Dic47⋊C4—21no—
646Dic47⋊C4—21no—
647Dic47⋊C4—21no—
648Dic47⋊C4—21no—
649Dic47⋊C4—21no—
650Dic47⋊C4—21no—
651Dic47⋊C4—21no—
652Dic47⋊C4—21no—
653Dic47⋊C4—21no—
654Dic47⋊C4—21no—
655Dic47⋊C4—21no—
656Dic47⋊C4C2×D411yescharacteristic
657Dic47⋊C4C2×D411yescharacteristic
658Dic47⋊C4C2×D411yescharacteristic
659Dic47⋊C4C2×D411yescharacteristic
660C4×Dic47—21no—
661C4×Dic47—21no—
662C4×Dic47—21no—
663C4×Dic47—21no—
664C4×Dic47—21no—
665C4×Dic47—21no—
666C4×Dic47—21no—
667C4×Dic47—21no—
668C4×Dic47C2×D411yescharacteristic
669C4×Dic47C2×D411yescharacteristic
670C4×Dic47C2×D411yescharacteristic
671C4×Dic47C2×D411yescharacteristic
672C4×Dic47C2×D411yescharacteristic
673C4×Dic47C2×D411yescharacteristic
674C4×Dic47C2411yescharacteristic
675C4×Dic47C2411yescharacteristic
676C4×Dic47C2411yescharacteristic
677#10625329—41no—
678C2×C47⋊C8—41no—
679C2×C47⋊C8C2411yescharacteristic
680C2×C47⋊C8C2411yescharacteristic
681C2×C47⋊C8C2411yescharacteristic
682C2×C47⋊C8C2411yescharacteristic
683#10625325—41no—
684#10625324—41no—
685#10625324—41no—
686C23×C47—21no—
687C23×C47—21no—
688C23×C47—21no—
689C23×C47—42no—
690C23×C47—42no—
691C23×C47—42no—
692C23×C47—42no—
693C23×C47—81no—
694C23×C47—81no—
695C23×C47C22×D411yescharacteristic
696C23×C47C22×D411yescharacteristic
697C22×D47—21no—
698C22×D47—42no—
699C22×D47—42no—
700C22×D47—81no—
701C22×D47C22×D411yescharacteristic
702Q8×C47—21no—
703Q8×C47—21no—
704D4×C47—22no—
705D4×C47—21no—
706D4×C47—21no—
707D4×C47—21no—
708D4×C47—21no—
709D4×C47—21no—
710D4×C47—42no—
711D4×C47—42no—
712D4×C47—42no—
713D4×C47—42no—
714D4×C47—42no—
715D4×C47—81no—
716D4×C472−1+412yes—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—21no—
722C2×C4×C47—21no—
723C2×C4×C47—21no—
724C2×C4×C47—21no—
725C2×C4×C47—21no—
726C2×C4×C47—42no—
727C2×C4×C47—42no—
728C2×C4×C47C22×D411yescharacteristic
729C2×C4×C47C22×D411yescharacteristic
730C2×C4×C47C22×D411yescharacteristic
731C2×C4×C47C22×D411yescharacteristic
732C2×C4×C47C2511yescharacteristic
733C22⋊D47—22no—
734C22⋊D47—22no—
735C22⋊D47—42no—
736C22⋊D47—42no—
737C22⋊D47—42no—
738C22⋊D47—42no—
739C22⋊D47—42no—
740C22⋊D47—42no—
741C22⋊D47—42no—
742C22⋊D47—81no—
743C22⋊D47—81no—
744C2×Dic47—22no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—41no—
753C2×Dic47—41no—
754C2×Dic47—42no—
755C2×Dic47—42no—
756C2×Dic47—42no—
757C2×Dic47—42no—
758C2×Dic47—42no—
759C2×Dic47—42no—
760C2×Dic47—42no—
761C2×Dic47—42no—
762C2×Dic47—42no—
763C2×Dic47—42no—
764C2×Dic47AGL(1,ℤ/8)14yes—
765C2×Dic47C22×D411yescharacteristic
766C2×Dic47C22×D411yescharacteristic
767C2×Dic47C22×D411yescharacteristic
768C2×Dic47C22×D411yescharacteristic
769C2×Dic47C22×D411yescharacteristic
770C2×Dic47C22×D411yescharacteristic
771C2×Dic47C22×D411yescharacteristic
772D188—21no—
773D188—21no—
774C4×D47—21no—
775C4×D47—21no—
776C4×D47—22no—
777C4×D47—41no—
778C4×D47—42no—
779C4×D47—42no—
780C4×D47—42no—
781Dic94—22no—
782Dic94—21no—
783Dic94—21no—
784Dic94—42no—
785Dic94—42no—
786Dic94—42no—
787Dic94—42no—
788Dic94—42no—
789Dic94—42no—
790Dic94—42no—
791Dic94—42no—
792C8×C47—21no—
793C8×C47—21no—
794C8×C47—21no—
795C8×C47—21no—
796C47⋊C8—21no—
797C47⋊C8—21no—
798C47⋊C8—21no—
799C47⋊C8—21no—
800#62109—471nomaximal, Sylow
801C22×C47—21no—
802C22×C47—21no—
803C22×C47—21no—
804C22×C47—22no—
805C22×C47—21no—
806C22×C47—21no—
807C22×C47—41no—
808C22×C47—41no—
809C22×C47—41no—
810C22×C47—41no—
811C22×C47—41no—
812C22×C47—41no—
813C22×C47—41no—
814C22×C47—41no—
815C22×C47—84no—
816C22×C47—84no—
817C22×C47C2×AGL(1,ℤ/8)12yes—
818C22×C47C23×D411yescharacteristic
819C2×D47—21no—
820C2×D47—21no—
821C2×D47—21no—
822C2×D47—41no—
823C2×D47—41no—
824C2×D47—41no—
825C2×D47—84no—
826C4×C47—21no—
827C4×C47—21no—
828C4×C47—21no—
829C4×C47—21no—
830C4×C47—41no—
831C4×C47—41no—
832C4×C47—41no—
833C4×C47—41no—
834C4×C47—41no—
835C4×C47C2×2−1+411yescharacteristic
836C4×C47#58511yescharacteristic
837Dic47—21no—
838Dic47—21no—
839Dic47—21no—
840Dic47—21no—
841Dic47—21no—
842Dic47—41no—
843Dic47—41no—
844Dic47—41no—
845Dic47—41no—
846Dic47—41no—
847Dic47—41no—
848Dic47—41no—
849Dic47C2×AGL(1,ℤ/8)12yes—
850Dic47C2×AGL(1,ℤ/8)12yes—
851#3509—471no—
852D4×#41—471no—
853#3386—471no—
854#3386—471no—
855#3368—471no—
856#3368—471no—
857#3353—471no—
858#3353—471no—
859#3343—471no—
860#3343—471no—
861#3343—471no—
862#3343—471no—
863#3324—471no—
864#3324—471no—
865#3310—471no—
866#3310—471no—
867#3310—471no—
868#3310D4711yescharacteristic, complemented
869#3254—471no—
870#3254—471no—
871#3246—471no—
872#3235—471no—
873#3235—471no—
874#3226—471no—
875#3110—471no—
876#3110—471no—
877#3101—471no—
878#3077—471no—
879#3077—471no—
880C2×#474—471no—
881#2989—471no—
882C2×C47—22no—
883C2×C47—42no—
884C2×C47—41no—
885C2×C47—81no—
886C2×C47—81no—
887C2×C47#348911yescharacteristic
888C2×C47C22×AGL(1,ℤ/8)11yescharacteristic
889C2×C47#358611yescharacteristic
890D47—41no—
891D47—81no—
892C22×#41—941no—
893#557—471no—
894#557—471no—
895#557—941no—
896#556—471no—
897#556—471no—
898#556—941no—
899#552—471no—
900#552—471no—
901#552—471no—
902#552—941no—
903#552—941no—
904#552C2×D4711yescharacteristic, complemented
905#550—471no—
906D4×Q8—471no—
907#548—941no—
908#547—471no—
909#547—471no—
910#547—471no—
911#546—941no—
912#546—941no—
913#546—941no—
914D42—471no—
915D42—471no—
916D42C2×D4711yescharacteristic
917#541—941no—
918#541—941no—
919#536—941no—
920#533—471no—
921#533—471no—
922#533—471no—
923#533—471no—
924#533—471no—
925#532—471no—
926#532—471no—
927#532—471no—
928C2×C4⋊Q8—471no—
929#525—941no—
930#525—941no—
931#525—941no—
932#519—941no—
933C4×#41—471no—
934C2×C4×D4—471no—
935C2×C4×D4—471no—
936C2×C4×D4—471no—
937#501—471no—
938#501—471no—
939#501—471no—
940#501—471no—
941#500—471no—
942#500—471no—
943#490—471no—
944#490—471no—
945#490—471no—
946#490C2×D4711yescharacteristic, complemented
947#486—471no—
948#486—471no—
949#484—471no—
950#484—471no—
951#484—471no—
952#484—471no—
953#483—471no—
954#483—471no—
955#482—471no—
956#482—471no—
957#482—471no—
958#482—471no—
959#482—471no—
960#482—471no—
961#482—471no—
962#482C2×D4711yescharacteristic, complemented
963#480—471no—
964#480—471no—
965#480—471no—
966#480C2×D4711yescharacteristic, complemented
967#478—471no—
968#478—471no—
969#478—471no—
970#478—471no—
971#478—471no—
972#478—471no—
973#478—471no—
974#478C2×D4711yescharacteristic
975#477—471no—
976#477—471no—
977#477—471no—
978#477—471no—
979#476—471no—
980#476—471no—
981#476—471no—
982#476—471no—
983#475—471no—
984#475—471no—
985#474—471no—
986#474—471no—
987#474—471no—
988#474—471no—
989#474—471no—
990#474—471no—
991#474—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#468C2×D4711yescharacteristic, complemented
1005#465—471no—
1006#465—471no—
1007#465—471no—
1008#465C2×D4711yescharacteristic, complemented
1009#461—471no—
1010#461—471no—
1011#461—471no—
1012#461—471no—
1013#460—471no—
1014#460—471no—
1015#460—471no—
1016#460—471no—
1017#460—471no—
1018#460C2×D4711yescharacteristic, complemented
1019#450—471no—
1020#450—471no—
1021#450—471no—
1022#450—471no—
1023#450C2×D4711yescharacteristic
1024#450C2×D4711yescharacteristic
1025#446—471no—
1026#446—471no—
1027#440—471no—
1028#440—471no—
1029#440—471no—
1030#440—471no—
1031#440—471no—
1032#440—471no—
1033#440—471no—
1034#440C2×D4711yescharacteristic
1035C4×SD16—471no—
1036C4×SD16—471no—
1037C4×SD16—471no—
1038C4×SD16—471no—
1039#436—471no—
1040#436—471no—
1041#435—471no—
1042#435—471no—
1043#435—471no—
1044#435C2×D4711yescharacteristic, complemented
1045#432—471no—
1046#432—471no—
1047#431—471no—
1048#428—471no—
1049#428—471no—
1050#428—471no—
1051#428—471no—
1052C2×#107—471no—
1053C2×#107—471no—
1054#423—471no—
1055#423—471no—
1056C2×C4⋊C8—471no—
1057#418—471no—
1058#418—471no—
1059#418—471no—
1060#418C2×D4711yescharacteristic
1061C2×#102—471no—
1062C2×#102C2×D4711yescharacteristic
1063C47#6210911yescharacteristic, complemented, Sylow
1064C2×#41—471no—
1065C2×#41—941no—
1066C2×#41—941no—
1067C2×#41—941no—
1068C2×#41—941no—
1069C2×#41—941no—
1070C2×#41—941no—
1071C2×#41—941no—
1072C2×#41—1888no—
1073C22×Q8—941no—
1074C22×Q8—941no—
1075C22×D4—21no—
1076C22×D4—471no—
1077C22×D4—941no—
1078C22×D4—941no—
1079C22×D4C22×D4711yescharacteristic
1080C22×D4C22×D4711yescharacteristic
1081C23×C4—941no—
1082C23×C4—941no—
1083C23×C4—941no—
1084C2×SD16—471no—
1085C2×SD16—471no—
1086C2×SD16—471no—
1087C2×SD16—471no—
1088C2×SD16—471no—
1089C2×SD16C22×D4711yescharacteristic
1090C2×SD16C22×D4711yescharacteristic
1091C2×SD16C22×D4711yescharacteristic
1092C2×M16—471no—
1093C2×M16—471no—
1094C2×M16—471no—
1095C2×M16C22×D4711yescharacteristic
1096C22×C8—471no—
1097C22×C8C22×D4711yescharacteristic
1098C4⋊Q8—471no—
1099C4⋊Q8—471no—
1100C4⋊Q8—471no—
1101C4⋊Q8—471no—
1102C4⋊Q8—471no—
1103C4⋊Q8—471no—
1104C4⋊Q8—471no—
1105C4⋊Q8—471no—
1106C4⋊Q8—471no—
1107C4⋊Q8—941no—
1108C4⋊Q8—941no—
1109C4⋊Q8—941no—
1110C4⋊Q8—941no—
1111#127—471no—
1112#127—471no—
1113#127C22×D4711yescharacteristic
1114#126—21no—
1115#126—941no—
1116#126—941no—
1117#126—941no—
1118#126—941no—
1119#126—941no—
1120#126—941no—
1121#126—941no—
1122#125—21no—
1123#125—471no—
1124#125—471no—
1125#125—471no—
1126#125—941no—
1127#125—941no—
1128#125—941no—
1129#125—941no—
1130#125—941no—
1131#125—941no—
1132#125—941no—
1133#125—941no—
1134#125—941no—
1135#125—941no—
1136#125C22×D4711yescharacteristic
1137#124—941no—
1138#124—941no—
1139#124—941no—
1140#124—941no—
1141#124—941no—
1142#123—21no—
1143#123—941no—
1144#123—941no—
1145#123—941no—
1146#123—941no—
1147#123—941no—
1148#123—941no—
1149#123—941no—
1150#123—941no—
1151#123—941no—
1152C22⋊Q8—471no—
1153C22⋊Q8—471no—
1154C22⋊Q8—471no—
1155C22⋊Q8—471no—
1156C22⋊Q8—941no—
1157C22⋊Q8—941no—
1158C22⋊Q8—941no—
1159C22⋊Q8—941no—
1160C22⋊Q8—941no—
1161C22⋊Q8—941no—
1162C22⋊Q8—941no—
1163C22⋊Q8—941no—
1164C22⋊Q8—941no—
1165C22⋊Q8—941no—
1166C22⋊Q8—941no—
1167C22⋊Q8—941no—
1168C22⋊Q8—941no—
1169C22⋊Q8C22×D4711yescharacteristic
1170C22⋊Q8C22×D4711yescharacteristic
1171#121—21no—
1172#121—471no—
1173#121—471no—
1174#121—471no—
1175#121—471no—
1176#121—941no—
1177#121—941no—
1178#121—941no—
1179#121—941no—
1180#121—941no—
1181#121—941no—
1182#121—941no—
1183#121—941no—
1184#121C22×D4711yescharacteristic
1185#121C22×D4711yescharacteristic
1186#120—21no—
1187#120—21no—
1188#120—941no—
1189#120—941no—
1190#120—941no—
1191#120—941no—
1192C4×Q8—471no—
1193C4×Q8—471no—
1194C4×Q8—471no—
1195C4×Q8—471no—
1196C4×Q8—471no—
1197C4×Q8—471no—
1198C4×Q8—471no—
1199C4×Q8—941no—
1200C4×Q8—941no—
1201C4×Q8—941no—
1202C4×Q8—941no—
1203C4×Q8—941no—
1204C4×Q8—941no—
1205C4×Q8—941no—
1206C4×Q8—941no—
1207C4×Q8—941no—
1208C4×Q8—941no—
1209C4×Q8—941no—
1210C4×Q8C22×D4711yescharacteristic
1211C4×D4—471no—
1212C4×D4—471no—
1213C4×D4—471no—
1214C4×D4—471no—
1215C4×D4—471no—
1216C4×D4—471no—
1217C4×D4—471no—
1218C4×D4—471no—
1219C4×D4—471no—
1220C4×D4—471no—
1221C4×D4—471no—
1222C4×D4—471no—
1223C4×D4—471no—
1224C4×D4—471no—
1225C4×D4—941no—
1226C4×D4—941no—
1227C4×D4—941no—
1228C4×D4—941no—
1229C4×D4—941no—
1230C4×D4—941no—
1231C4×D4—941no—
1232C4×D4—941no—
1233C4×D4—941no—
1234C4×D4C22×D4711yescharacteristic
1235C4×D4C22×D4711yescharacteristic
1236#117—21no—
1237#117—471no—
1238#117—471no—
1239#117—471no—
1240#117—471no—
1241#117—471no—
1242#117—471no—
1243#117—941no—
1244#117—941no—
1245#117—941no—
1246#117—941no—
1247#117—941no—
1248#117—941no—
1249#117C22×D4711yescharacteristic
1250C2×C4⋊C4—471no—
1251C2×C4⋊C4—471no—
1252C2×C4⋊C4—471no—
1253C2×C4⋊C4—471no—
1254C2×C4⋊C4—941no—
1255C2×C4⋊C4C22×D4711yescharacteristic
1256C2×C22⋊C4—941no—
1257C2×C22⋊C4—941no—
1258C2×C22⋊C4—941no—
1259C2×C42—471no—
1260C2×C42—471no—
1261C2×C42—471no—
1262#107—471no—
1263#107—471no—
1264#107—471no—
1265#107—471no—
1266#107—471no—
1267#107—471no—
1268#107—471no—
1269#107—471no—
1270#107—471no—
1271#107—471no—
1272#107—471no—
1273#107—471no—
1274#107—471no—
1275#107—471no—
1276#107C22×D4711yescharacteristic
1277#107C22×D4711yescharacteristic
1278#106—471no—
1279#106—471no—
1280#106—471no—
1281#106—471no—
1282#106—471no—
1283#106—471no—
1284#106—471no—
1285#106C22×D4711yescharacteristic
1286C4⋊C8—471no—
1287C4⋊C8—471no—
1288C4⋊C8—471no—
1289C4⋊C8—471no—
1290C4⋊C8—471no—
1291C4⋊C8—471no—
1292C4⋊C8—471no—
1293C4⋊C8—471no—
1294C4⋊C8—471no—
1295C4⋊C8C22×D4711yescharacteristic
1296#103—471no—
1297#103—471no—
1298#103—471no—
1299#103—471no—
1300#103—471no—
1301#103—471no—
1302#103—471no—
1303#103C22×D4711yescharacteristic
1304#102—471no—
1305#102—471no—
1306#102—471no—
1307#102—471no—
1308#102—471no—
1309#102—471no—
1310#102—471no—
1311#102—471no—
1312#102—471no—
1313#102—471no—
1314#102—471no—
1315#102—471no—
1316#102—471no—
1317#102—471no—
1318#102—471no—
1319#102C22×D4711yescharacteristic
1320#102C22×D4711yescharacteristic
1321#102C22×D4711yescharacteristic
1322#102C22×D4711yescharacteristic
1323#102C22×D4711yescharacteristic
1324#102C22×D4711yescharacteristic
1325#102C22×D4711yescharacteristic
1326#102C22×D4711yescharacteristic
1327#102C22×D4711yescharacteristic
1328C22⋊C8—471no—
1329C22⋊C8—471no—
1330C22⋊C8—471no—
1331C22⋊C8—471no—
1332C22⋊C8C22×D4711yescharacteristic
1333C22⋊C8C22×D4711yescharacteristic
1334#97—471no—
1335#97—471no—
1336#97—471no—
1337#97C22×D4711yescharacteristic
1338C4×C8—471no—
1339C4×C8—471no—
1340C24—21no—
1341C24—21no—
1342C24—941no—
1343#41—944no—
1344#41—1884no—
1345#41—1884no—
1346#41—1884no—
1347#41—1884no—
1348#41—1884no—
1349#41—1884no—
1350#41—1884no—
1351C2×Q8—471no—
1352C2×Q8—471no—
1353C2×Q8—941no—
1354C2×Q8—941no—
1355C2×Q8—941no—
1356C2×Q8—941no—
1357C2×Q8—941no—
1358C2×Q8—941no—
1359C2×Q8—941no—
1360C2×Q8—941no—
1361C2×Q8—1884no—
1362C2×Q8—1884no—
1363C2×Q8C23×D4711yescharacteristic
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—44no—
1375C2×D4—471no—
1376C2×D4—471no—
1377C2×D4—471no—
1378C2×D4—941no—
1379C2×D4—941no—
1380C2×D4—941no—
1381C2×D4—941no—
1382C2×D4—941no—
1383C2×D4—942no—
1384C2×D4—941no—
1385C2×D4—941no—
1386C2×D4—941no—
1387C2×D4—941no—
1388C2×D4—1881no—
1389C2×D4—1884no—
1390C2×D4—1884no—
1391C2×D4D4×D4711yescharacteristic
1392C2×D4C23×D4711yescharacteristic
1393C2×D4C23×D4711yescharacteristic
1394C2×D4C23×D4711yescharacteristic
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—471no—
1398C22×C4—471no—
1399C22×C4—471no—
1400C22×C4—471no—
1401C22×C4—471no—
1402C22×C4—471no—
1403C22×C4—471no—
1404C22×C4—941no—
1405C22×C4—941no—
1406C22×C4—941no—
1407C22×C4—941no—
1408C22×C4—941no—
1409C22×C4—941no—
1410C22×C4—941no—
1411C22×C4—941no—
1412C22×C4—941no—
1413C22×C4—941no—
1414C22×C4—941no—
1415C22×C4—941no—
1416C22×C4—941no—
1417C22×C4—1884no—
1418C22×C4—1884no—
1419C22×C4—1884no—
1420C22×C4C23×D4711yescharacteristic
1421C22×C4C23×D4711yescharacteristic
1422SD16—22no—
1423SD16—41no—
1424SD16—41no—
1425SD16—942no—
1426SD16—1881no—
1427SD16—1881no—
1428SD16—1881no—
1429SD16—1881no—
1430M16—41no—
1431M16—1881no—
1432M16—1881no—
1433M16—1881no—
1434C2×C8—41no—
1435C2×C8—471no—
1436C2×C8—471no—
1437C2×C8—471no—
1438C2×C8—471no—
1439C2×C8—1881no—
1440C2×C8C23×D4711yescharacteristic
1441C2×C8C23×D4711yescharacteristic
1442C2×C8C23×D4711yescharacteristic
1443C2×C8C23×D4711yescharacteristic
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—471no—
1451C4⋊C4—471no—
1452C4⋊C4—471no—
1453C4⋊C4—471no—
1454C4⋊C4—471no—
1455C4⋊C4—471no—
1456C4⋊C4—471no—
1457C4⋊C4—471no—
1458C4⋊C4—471no—
1459C4⋊C4—471no—
1460C4⋊C4—471no—
1461C4⋊C4—941no—
1462C4⋊C4—941no—
1463C4⋊C4—941no—
1464C4⋊C4—941no—
1465C4⋊C4—941no—
1466C4⋊C4—941no—
1467C4⋊C4—941no—
1468C4⋊C4—941no—
1469C4⋊C4—941no—
1470C4⋊C4—941no—
1471C4⋊C4—941no—
1472C4⋊C4—941no—
1473C4⋊C4—941no—
1474C4⋊C4—941no—
1475C4⋊C4—941no—
1476C4⋊C4—941no—
1477C4⋊C4—941no—
1478C4⋊C4—941no—
1479C4⋊C4—941no—
1480C4⋊C4—941no—
1481C4⋊C4—941no—
1482C4⋊C4—941no—
1483C4⋊C4—941no—
1484C4⋊C4—941no—
1485C4⋊C4—941no—
1486C4⋊C4—941no—
1487C4⋊C4—941no—
1488C4⋊C4—941no—
1489C4⋊C4—941no—
1490C4⋊C4D4×D4711yescharacteristic
1491C4⋊C4C23×D4711yescharacteristic
1492C4⋊C4C23×D4711yescharacteristic
1493C4⋊C4C23×D4711yescharacteristic
1494C4⋊C4C23×D4711yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—471no—
1502C22⋊C4—471no—
1503C22⋊C4—471no—
1504C22⋊C4—471no—
1505C22⋊C4—941no—
1506C22⋊C4—941no—
1507C22⋊C4—941no—
1508C22⋊C4—941no—
1509C22⋊C4—941no—
1510C22⋊C4—941no—
1511C22⋊C4—941no—
1512C22⋊C4—941no—
1513C22⋊C4—941no—
1514C22⋊C4—941no—
1515C22⋊C4—941no—
1516C22⋊C4—941no—
1517C22⋊C4—941no—
1518C22⋊C4—941no—
1519C22⋊C4—941no—
1520C22⋊C4—941no—
1521C22⋊C4—941no—
1522C22⋊C4—941no—
1523C22⋊C4—941no—
1524C22⋊C4—941no—
1525C22⋊C4D4×D4711yescharacteristic
1526C22⋊C4D4×D4711yescharacteristic
1527C42—21no—
1528C42—21no—
1529C42—471no—
1530C42—471no—
1531C42—471no—
1532C42—471no—
1533C42—471no—
1534C42—471no—
1535C42—471no—
1536C42—471no—
1537C42—471no—
1538C42—941no—
1539C42—941no—
1540C42—941no—
1541C42—941no—
1542C42—941no—
1543C42—941no—
1544C42—941no—
1545C42—941no—
1546C42C23×D4711yescharacteristic
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—42no—
1551C23—42no—
1552C23—42no—
1553C23—42no—
1554C23—81no—
1555C23—81no—
1556C23—471no—
1557C23—941no—
1558C23—3761no—
1559C23—1882no—
1560C23—1882no—
1561C23C2×D4×D4711yescharacteristic
1562C23C2×D4×D4711yescharacteristic
1563Q8—21no—
1564Q8—21no—
1565Q8—942no—
1566Q8—941no—
1567Q8—941no—
1568Q8—1882no—
1569Q8—1882no—
1570Q8—1882no—
1571Q8—1882no—
1572Q8—1882no—
1573Q8—1882no—
1574Q8—1882no—
1575Q8—1882no—
1576D4—22no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—21no—
1581D4—21no—
1582D4—42no—
1583D4—42no—
1584D4—42no—
1585D4—42no—
1586D4—42no—
1587D4—81no—
1588D4—942no—
1589D4—942no—
1590D4—941no—
1591D4—941no—
1592D4—3761no—
1593D4—3761no—
1594D4—1882no—
1595D4—1882no—
1596D4—1882no—
1597D4—1882no—
1598D4—1882no—
1599D4—1882no—
1600D4—1882no—
1601D4#1309407112yes—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—42no—
1612C2×C4—42no—
1613C2×C4—474no—
1614C2×C4—471no—
1615C2×C4—471no—
1616C2×C4—471no—
1617C2×C4—471no—
1618C2×C4—471no—
1619C2×C4—471no—
1620C2×C4—471no—
1621C2×C4—942no—
1622C2×C4—942no—
1623C2×C4—941no—
1624C2×C4—941no—
1625C2×C4—941no—
1626C2×C4—941no—
1627C2×C4—941no—
1628C2×C4—941no—
1629C2×C4—941no—
1630C2×C4—941no—
1631C2×C4—941no—
1632C2×C4—1881no—
1633C2×C4—1882no—
1634C2×C4—1882no—
1635C2×C4—1882no—
1636C2×C4—1882no—
1637C2×C4—1882no—
1638C2×C4—1882no—
1639C2×C4—1882no—
1640C2×C4—1882no—
1641C2×C4—1881no—
1642C2×C4—1881no—
1643C2×C4—1882no—
1644C2×C4—1882no—
1645C2×C4—1882no—
1646C2×C4—1882no—
1647C2×C4—1882no—
1648C2×C4C2×D4×D4711yescharacteristic
1649C2×C4C2×D4×D4711yescharacteristic
1650C2×C4C2×D4×D4711yescharacteristic
1651C2×C4C2×D4×D4711yescharacteristic
1652C2×C4C24×D4711yescharacteristic
1653C8—21no—
1654C8—21no—
1655C8—21no—
1656C8—21no—
1657C8—941no—
1658C8—941no—
1659C8—941no—
1660C8—941no—
1661C22—21no—
1662C22—21no—
1663C22—21no—
1664C22—22no—
1665C22—21no—
1666C22—21no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—84no—
1676C22—84no—
1677C22—941no—
1678C22—941no—
1679C22—941no—
1680C22—3764no—
1681C22—1881no—
1682C22—1881no—
1683C22—1881no—
1684C22AGL(1,ℤ/8)×D4712yes—
1685C22C22×D4×D4711yescharacteristic
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—21no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—472no—
1696C4—472no—
1697C4—941no—
1698C4—941no—
1699C4—941no—
1700C4—941no—
1701C4—941no—
1702C4—1881no—
1703C4—1881no—
1704C4—1881no—
1705C4—1881no—
1706C4—1881no—
1707C4—1881no—
1708C4—1881no—
1709C4C2×#1309407111yescharacteristic
1710C4#1568995811yescharacteristic
1711C2—22no—
1712C2—41no—
1713C2—42no—
1714C2—81no—
1715C2—81no—
1716C2—3761no—
1717C2—1881no—
1718C2#2025705911yescharacteristic
1719C2C2×AGL(1,ℤ/8)×D4711yescharacteristic
1720C2#2025817011yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3310C2
socleC22×C47C23×D4
prime radicalD4×#10625352C2
hypercenter#3310D47
hypocenterC47#62109
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. #20257266C2semidirect
3. #20256310C2semidirect
4. #20256304C2semidirect
5. #20256114C2semidirect
6. #20256112C2semidirect
7. #20255970C2semidirect
8. #20255967C2semidirect
9. #20255834C2semidirect
10. #20255832C2semidirect
11. #20255830C2semidirect
12. #20255828C2semidirect
13. #20255615C2semidirect
14. #20255612C2semidirect
15. #20255413C2semidirect
16. #20255409C2semidirect
17. #20255405C2semidirect
18. #20254773C2semidirect
19. #20254770C2semidirect
20. #20254699C2semidirect
21. #20254583C2semidirect
22. #20254581C2semidirect
23. #20254507C2semidirect
24. #20253485C2semidirect
25. #20253482C2semidirect
26. #20253391C2semidirect
27. #20253183C2semidirect
28. #20253182C2semidirect
29. C2×#15689401C2semidirect
30. #20252500C2semidirect
31. C47×#3310C2semidirect
34. #15689850C22semidirect
35. #15689849C22semidirect
36. #15689844C22semidirect
37. #15689841C22semidirect
39. #15689815C22semidirect
40. #15689813C22semidirect
42. #15689808C22semidirect
58. #15689679C22semidirect
59. #15689677C22semidirect
60. #15689676C22semidirect
61. #15689675C22semidirect
62. #15689675C22semidirect
66. C2×#13094023C22semidirect
75. #15689533C22semidirect
76. #15689532C22semidirect
77. #15689531C22semidirect
78. #15689530C22semidirect
79. #15689527C22semidirect
80. #15689527C22semidirect
81. #15689487C22semidirect
82. #15689486C22semidirect
83. #15689486C22semidirect
84. #15689468C22semidirect
85. #15689468C22semidirect
86. #15689460C22semidirect
87. #15689459C22semidirect
88. #15689457C22semidirect
89. #15689456C22semidirect
90. #15689454C22semidirect
91. #15689451C22semidirect
92. #15689448C22semidirect
93. #15689447C22semidirect
94. #15689446C22semidirect
95. #15689446C22semidirect
96. #15689445C22semidirect
97. #15689445C22semidirect
98. #15689444C22semidirect
99. #15689437C22semidirect
100. #15689436C22semidirect
101. #15689434C22semidirect
103. #15689425C22semidirect
104. #15689424C22semidirect
107. #15689421C22semidirect
108. #15689420C22semidirect
109. #15689419C22semidirect
110. #15689418C22semidirect
111. #15689417C22semidirect
112. #15689416C22semidirect
113. #15689412C22semidirect
115. #15689411C22semidirect
116. #15689411C22semidirect
117. #15689407C22semidirect
118. #15689406C22semidirect
119. #15689402C22semidirect
120. #15689402C22semidirect
125. #15689401C22semidirect
126. #15689401C22semidirect
127. #15689401C22semidirect
128. #15689401C22semidirect
129. #15689401C22semidirect
130. #15689401C22semidirect
131. #15689371C22semidirect
132. #15689369C22semidirect
133. #15689368C22semidirect
134. #15689368C22semidirect
135. #15689367C22semidirect
136. #15689366C22semidirect
137. #15689366C22semidirect
138. #15689354C22semidirect
139. #15689352C22semidirect
140. #15689350C22semidirect
141. #15689327C22semidirect
143. #15689326C22semidirect
144. #15689326C22semidirect
145. #15689322C22semidirect
146. #15689322C22semidirect
147. #15689321C22semidirect
148. #15689321C22semidirect
149. #15689320C22semidirect
154. #15689252C22semidirect
155. #15689251C22semidirect
156. #15689225C22semidirect
158. #15689224C22semidirect
160. #15689221C22semidirect
162. #15689220C22semidirect
164. #15689214C22semidirect
166. SD16×Dic47C22semidirect
167. #15689199C22semidirect
168. #15689198C22semidirect
169. #15689195C22semidirect
170. #15689194C22semidirect
171. #15689191C22semidirect
172. #15689178C22semidirect
173. #15689177C22semidirect
174. #15689173C22semidirect
175. #15689166C22semidirect
176. #15689165C22semidirect
177. #15689164C22semidirect
178. #15689162C22semidirect
179. C2×#13093958C22semidirect
180. C2×#13093957C22semidirect
181. #15689146C22semidirect
182. #15689145C22semidirect
183. C2×Dic47⋊C8C22semidirect
188. C47×#552C22semidirect
190. C47×#490C22semidirect
191. C47×#482C22semidirect
192. C47×#480C22semidirect
194. C47×#468C22semidirect
195. C47×#465C22semidirect
196. C47×#460C22semidirect
200. C47×#435C22semidirect
868. #3310D47semidirect
904. #552C2×D47semidirect
946. #490C2×D47semidirect
962. #482C2×D47semidirect
966. #480C2×D47semidirect
1004. #468C2×D47semidirect
1008. #465C2×D47semidirect
1018. #460C2×D47semidirect
1044. #435C2×D47semidirect
1063. C47#62109semidirect

Maximal subgroups

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

subgroupindex
#202572662
D4×#106253522
#202563102
#202563042
#202561142
#202561122
#202559702
#202559672
#202558342
#202558322
#202558302
#202558282
#202556152
#202556122
#202554132
#202554092
#202554052
#202547732
#202547702
#202546992
#202545832
#202545812
#202545072
#202534852
#202534822
#202533912
#202531832
#202531822
C2×#156894012
#202525002
C47×#33102
#6210947