Finite Group Databasebeta

← #27112053

Subgroups — #27112053

Order 12032.

2030 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257290C211yesmaximal, characteristic, complemented
2D4×#10625352C211yesmaximal, characteristic, complemented
3#20256290C211yesmaximal, characteristic, complemented
4#20256288C211yesmaximal, characteristic, complemented
5#20256092C211yesmaximal, characteristic, complemented
6#20256090C211yesmaximal, characteristic, complemented
7#20255981C211yesmaximal, characteristic, complemented
8#20255978C211yesmaximal, characteristic, complemented
9#20255864C211yesmaximal, characteristic, complemented
10#20255860C211yesmaximal, characteristic, complemented
11#20255856C211yesmaximal, characteristic, complemented
12#20255852C211yesmaximal, characteristic, complemented
13#20255626C211yesmaximal, characteristic, complemented
14#20255623C211yesmaximal, characteristic, complemented
15#20255533C211yesmaximal, characteristic, complemented
16#20255529C211yesmaximal, characteristic, complemented
17#20255525C211yesmaximal, characteristic, complemented
18#20254767C211yesmaximal, characteristic, complemented
19#20254765C211yesmaximal, characteristic, complemented
20#20254694C211yesmaximal, characteristic, complemented
21#20254583C211yesmaximal, characteristic, complemented
22#20254581C211yesmaximal, characteristic, complemented
23#20254514C211yesmaximal, characteristic, complemented
24#20253477C211yesmaximal, characteristic, complemented
25#20253474C211yesmaximal, characteristic, complemented
26#20253383C211yesmaximal, characteristic, complemented
27#20253183C211yesmaximal, characteristic, complemented
28#20253182C211yesmaximal, characteristic, complemented
29C2×#15689411C211yesmaximal, characteristic, complemented
30#20252500C211yesmaximal, characteristic, complemented
31C47×#3318C211yesmaximal, characteristic, complemented
32C22×#10625352—21no—
33#15689840—21no—
34#15689837C2211yescharacteristic, complemented
35#15689836C2211yescharacteristic, complemented
36#15689832C2211yescharacteristic, complemented
37#15689829C2211yescharacteristic, complemented
38#15689825C2211yescharacteristic, complemented
39#15689821C2211yescharacteristic, complemented
40#15689819C2211yescharacteristic, complemented
41#15689793C2211yescharacteristic
42D4×Dic94C2211yescharacteristic
43#15689782—21no—
44#15689779—21no—
45#15689779—21no—
46#15689777C2211yescharacteristic
47#15689773C2211yescharacteristic
48#15689773C2211yescharacteristic
49#15689771—21no—
50#15689767—21no—
51#15689760—21no—
52#15689760—21no—
53D4×C22⋊D47C2211yescharacteristic
54D4×C22⋊D47C2211yescharacteristic
55#15689741—21no—
56#15689739—21no—
57#15689700—21no—
58#15689679C2211yescharacteristic, complemented
59#15689676C2211yescharacteristic, complemented
60#15689671C2211yescharacteristic
61#15689670C2211yescharacteristic, complemented
62#15689668C2211yescharacteristic
63#15689668C2211yescharacteristic
64#15689668C2211yescharacteristic, complemented
65#15689668C2211yescharacteristic, complemented
66C2×#13094023C2211yescharacteristic, complemented
67#15689633—21no—
68#15689629—21no—
69#15689629—21no—
70#15689602—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#15689520C2211yescharacteristic, complemented
80#15689520C2211yescharacteristic, complemented
81#15689487C2211yescharacteristic, complemented
82#15689486C2211yescharacteristic, complemented
83#15689486C2211yescharacteristic, complemented
84#15689468C2211yescharacteristic, complemented
85#15689468C2211yescharacteristic, complemented
86#15689448C2211yescharacteristic, complemented
87#15689447C2211yescharacteristic, complemented
88#15689446C2211yescharacteristic, complemented
89#15689446C2211yescharacteristic, complemented
90#15689445C2211yescharacteristic, complemented
91#15689445C2211yescharacteristic, complemented
92#15689444C2211yescharacteristic, complemented
93#15689443C2211yescharacteristic, complemented
94#15689442C2211yescharacteristic, complemented
95#15689442C2211yescharacteristic, complemented
96#15689441C2211yescharacteristic, complemented
97#15689440C2211yescharacteristic, complemented
98#15689439C2211yescharacteristic, complemented
99#15689439C2211yescharacteristic, complemented
100#15689437C2211yescharacteristic, complemented
101#15689434C2211yescharacteristic, complemented
102#15689425C2211yescharacteristic
103#15689425C2211yescharacteristic, complemented
104#15689424C2211yescharacteristic, complemented
105#15689423C2211yescharacteristic
106#15689421C2211yescharacteristic
107#15689421C2211yescharacteristic, complemented
108#15689420C2211yescharacteristic, complemented
109#15689414C2211yescharacteristic, complemented
110#15689413C2211yescharacteristic, complemented
111#15689412C2211yescharacteristic, complemented
112#15689412C2211yescharacteristic, complemented
113#15689412C2211yescharacteristic, complemented
114#15689411C2211yescharacteristic
115#15689411C2211yescharacteristic
116#15689411C2211yescharacteristic
117#15689411C2211yescharacteristic
118#15689411C2211yescharacteristic, complemented
119#15689411C2211yescharacteristic, complemented
120#15689411C2211yescharacteristic, complemented
121#15689411C2211yescharacteristic, complemented
122#15689411C2211yescharacteristic, complemented
123#15689411C2211yescharacteristic, complemented
124#15689411C2211yescharacteristic, complemented
125#15689402C2211yescharacteristic, complemented
126#15689402C2211yescharacteristic, complemented
127#15689401C2211yescharacteristic
128#15689401C2211yescharacteristic, complemented
129#15689401C2211yescharacteristic, complemented
130#15689401C2211yescharacteristic, complemented
131#15689376C2211yescharacteristic, complemented
132#15689375C2211yescharacteristic, complemented
133#15689375C2211yescharacteristic, complemented
134#15689374C2211yescharacteristic, complemented
135#15689374C2211yescharacteristic, complemented
136#15689373C2211yescharacteristic, complemented
137#15689373C2211yescharacteristic, complemented
138#15689359C2211yescharacteristic, complemented
139#15689357C2211yescharacteristic, complemented
140#15689357C2211yescharacteristic, complemented
141#15689317C2211yescharacteristic, complemented
142#15689317C2211yescharacteristic, complemented
143#15689317C2211yescharacteristic, complemented
144#15689316C2211yescharacteristic
145#15689316C2211yescharacteristic, complemented
146#15689316C2211yescharacteristic, complemented
147#15689316C2211yescharacteristic, complemented
148#15689316C2211yescharacteristic, complemented
149#15689315C2211yescharacteristic, complemented
150#15689258C2211yescharacteristic
151#15689257C2211yescharacteristic
152#15689257C2211yescharacteristic
153#15689255C2211yescharacteristic
154#15689252C2211yescharacteristic, complemented
155#15689251C2211yescharacteristic, complemented
156#15689236C2211yescharacteristic, complemented
157#15689235C2211yescharacteristic
158#15689235C2211yescharacteristic, complemented
159#15689233C2211yescharacteristic
160#15689233C2211yescharacteristic, complemented
161#15689232C2211yescharacteristic
162#15689232C2211yescharacteristic, complemented
163D8×Dic47C2211yescharacteristic
164D8×Dic47C2211yescharacteristic, complemented
165#15689203C2211yescharacteristic
166#15689203C2211yescharacteristic, 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×#13093956C2211yescharacteristic, complemented
180C2×#13093955C2211yescharacteristic, complemented
181#15689146C2211yescharacteristic, complemented
182#15689145C2211yescharacteristic, complemented
183C2×Dic47⋊C8C2211yescharacteristic, complemented
184#15689128C2211yescharacteristic
185#15689126C2211yescharacteristic
186#15689126C2211yescharacteristic
187C2×#13093945C2211yescharacteristic
188C47×#553C2211yescharacteristic, complemented
189D42×C47C2211yescharacteristic
190C47×#490C2211yescharacteristic, complemented
191C47×#482C2211yescharacteristic, complemented
192C47×#481C2211yescharacteristic, complemented
193C47×#478C2211yescharacteristic
194C47×#469C2211yescharacteristic, complemented
195C47×#466C2211yescharacteristic, complemented
196C47×#459C2211yescharacteristic, complemented
197C47×#447C2211yescharacteristic
198C47×#447C2211yescharacteristic
199C47×#442C2211yescharacteristic
200C47×#435C2211yescharacteristic, complemented
201C47×#418C2211yescharacteristic
202C2×#102×C47C2211yescharacteristic
203C2×#10625350—21no—
204C2×#10625352—21no—
205C2×#10625352—21no—
206C2×#10625352—21no—
207C2×#10625352—21no—
208C2×#10625352—21no—
209C2×#10625352—21no—
210C2×#10625352—21no—
211C2×#10625352—21no—
212C2×#10625352—21no—
213C2×#10625352—48no—
214C2×#10625352D411yescharacteristic
215C22×Dic94—21no—
216C22×Dic94—21no—
217C22×C22⋊D47—21no—
218C22×C22⋊D47—21no—
219C2×D4×D47C2311yescharacteristic
220C23×Dic47—21no—
221C23×Dic47—21no—
222C22×C4×D47—21no—
223C2×D376C2311yescharacteristic
224C2×#10625334C2311yescharacteristic
225C2×#10625334C2311yescharacteristic
226C2×#10625334C2311yescharacteristic
227C2×#10625334C2311yescharacteristic
228C2×#10625329C2311yescharacteristic
229C2×#10625324C2311yescharacteristic
230C2×#10625324C2311yescharacteristic
231C22×C47⋊C8C2311yescharacteristic
232#13094024C2311yescharacteristic
233#13094023—21no—
234#13094023—21no—
235#13094023C2311yescharacteristic
236#13094023C2311yescharacteristic
237#13094023C2311yescharacteristic
238#13094023C2311yescharacteristic
239#13094023C2311yescharacteristic
240#13094023C2311yescharacteristic
241#13094023C2311yescharacteristic
242#13094020C2311yescharacteristic
243#13094020C2311yescharacteristic
244#13094020C2311yescharacteristic
245#13094019—21no—
246#13094019—21no—
247#13094017—21no—
248#13094016C2311yescharacteristic
249#13094015C2311yescharacteristic
250#13094015C2311yescharacteristic
251#13094012—21no—
252#13094011—21no—
253#13094011—21no—
254#13094010—21no—
255#13094010—21no—
256#13094010—21no—
257#13094010—21no—
258#13094010—21no—
259#13094010—21no—
260#13094010—21no—
261#13094009—21no—
262#13094008—21no—
263#13094008—21no—
264#13094008—21no—
265#13094006—21no—
266#13094006—21no—
267#13094006—21no—
268#13094005—21no—
269#13094005—21no—
270#13094004—21no—
271#13094004—21no—
272#13094003—21no—
273#13094003—21no—
274#13094002—21no—
275#13094002—21no—
276#13094002—21no—
277#13094002—21no—
278#13094001—21no—
279#13094001—21no—
280#13094001—21no—
281#13094001—21no—
282#13094001—21no—
283#13094001—21no—
284#13094001—21no—
285#13094001—21no—
286#13093999C2311yescharacteristic
287#13093998—21no—
288#13093998C2311yescharacteristic
289#13093998C2311yescharacteristic
290#13093998C2311yescharacteristic
291#13093998C2311yescharacteristic
292#13093997—21no—
293#13093997—21no—
294#13093996—21no—
295#13093996—21no—
296#13093996—21no—
297#13093996—21no—
298#13093996—21no—
299#13093996—21no—
300#13093996—21no—
301#13093996—21no—
302#13093996—21no—
303#13093996—21no—
304#13093996—21no—
305#13093995—21no—
306#13093995—21no—
307#13093995C2311yescharacteristic
308#13093995C2311yescharacteristic
309#13093995C2311yescharacteristic
310#13093993—21no—
311#13093993—21no—
312#13093992—21no—
313#13093992—21no—
314C4×Dic94—21no—
315C4×Dic94—21no—
316C4×Dic94C2311yescharacteristic
317#13093989—21no—
318#13093989—21no—
319#13093989D411yescharacteristic
320C4×D188C2311yescharacteristic
321C4×D188C2311yescharacteristic
322D4×Dic47—21no—
323D4×Dic47—21no—
324D4×Dic47—21no—
325D4×Dic47—21no—
326D4×Dic47—21no—
327D4×Dic47—21no—
328D4×Dic47D411yescharacteristic
329D4×Dic47C2311yescharacteristic
330D4×Dic47C2311yescharacteristic
331D4×Dic47C2311yescharacteristic
332D4×Dic47C2311yescharacteristic
333D4×Dic47C2311yescharacteristic
334D4×Dic47C2311yescharacteristic
335D4×Dic47C2311yescharacteristic
336D4×Dic47C2311yescharacteristic
337D4×Dic47C2311yescharacteristic
338#13093986C2311yescharacteristic
339#13093986C2311yescharacteristic
340#13093986C2311yescharacteristic
341C4×C22⋊D47—21no—
342C4×C22⋊D47—21no—
343C4×C22⋊D47—21no—
344C4×C22⋊D47C2311yescharacteristic
345C4×C22⋊D47C2311yescharacteristic
346(C22⋊D47)⋊C4—21no—
347(C22⋊D47)⋊C4—21no—
348(C22⋊D47)⋊C4—21no—
349(C22⋊D47)⋊C4—21no—
350(C22⋊D47)⋊C4—21no—
351(C22⋊D47)⋊C4—21no—
352(C22⋊D47)⋊C4D411yescharacteristic
353(C22⋊D47)⋊C4D411yescharacteristic
354#13093983C2311yescharacteristic
355#13093982D411yescharacteristic
356#13093982C2311yescharacteristic
357#13093982C2311yescharacteristic
358#13093981—21no—
359#13093980—21no—
360#13093980D411yescharacteristic
361#13093980D411yescharacteristic
362C2×C4⋊Dic47C2311yescharacteristic
363C2×C4⋊Dic47C2311yescharacteristic
364C2×C4⋊Dic47C2311yescharacteristic
365C2×Dic47⋊C4—21no—
366C2×Dic47⋊C4—21no—
367C4⋊C4×D47—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#13093957C2311yescharacteristic
379#13093957C2311yescharacteristic
380#13093957C2311yescharacteristic
381#13093957C2311yescharacteristic
382#13093956C2311yescharacteristic
383#13093956C2311yescharacteristic
384#13093956C2311yescharacteristic
385#13093956C2311yescharacteristic
386#13093956C2311yescharacteristic
387#13093956C2311yescharacteristic
388#13093955C2311yescharacteristic
389#13093955C2311yescharacteristic
390#13093955C2311yescharacteristic
391#13093955C2311yescharacteristic
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#13093946C2311yescharacteristic
406#13093946C2311yescharacteristic
407#13093946C2311yescharacteristic
408#13093946C2311yescharacteristic
409#13093946C2311yescharacteristic
410#13093946C2311yescharacteristic
411#13093945C2311yescharacteristic
412#13093945C2311yescharacteristic
413#13093945C2311yescharacteristic
414#13093945C2311yescharacteristic
415#13093945C2311yescharacteristic
416#13093945C2311yescharacteristic
417#13093945C2311yescharacteristic
418#13093945C2311yescharacteristic
419#13093945C2311yescharacteristic
420#13093945C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093944C2311yescharacteristic
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×D8×C47C2311yescharacteristic
440C2×D8×C47C2311yescharacteristic
441C2×D8×C47C2311yescharacteristic
442C2×M16×C47C2311yescharacteristic
443C22×C8×C47C2311yescharacteristic
444#127×C47C2311yescharacteristic
445#126×C47—21no—
446#125×C47C2311yescharacteristic
447#123×C47—21no—
448#121×C47—21no—
449#121×C47—21no—
450#121×C47C2311yescharacteristic
451#121×C47C2311yescharacteristic
452#121×C47C2311yescharacteristic
453#121×C47C2311yescharacteristic
454#120×C47—21no—
455#120×C47—21no—
456C4×D4×C47—21no—
457C4×D4×C47C2311yescharacteristic
458C4×D4×C47C2311yescharacteristic
459C4×D4×C47C2311yescharacteristic
460#117×C47C2311yescharacteristic
461C2×C4⋊C4×C47C2311yescharacteristic
462#107×C47C2311yescharacteristic
463#106×C47C2311yescharacteristic
464#106×C47C2311yescharacteristic
465C4⋊C8×C47C2311yescharacteristic
466#102×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×D4×C47—22no—
483C2×D4×C47—22no—
484C2×D4×C47—21no—
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—21no—
492C2×D4×C47—41no—
493C2×D4×C47—41no—
494C2×D4×C47—44no—
495C2×D4×C47C2×D411yescharacteristic
496C2×D4×C47C2411yescharacteristic
497C2×D4×C47C2411yescharacteristic
498C2×D4×C47C2411yescharacteristic
499C2×D4×C47C2411yescharacteristic
500C22×C4×C47—21no—
501C22×C4×C47—21no—
502C22×C4×C47—21no—
503C22×C4×C47C2411yescharacteristic
504C22×C4×C47C2411yescharacteristic
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—21no—
512C2×C22⋊D47—21no—
513C2×C22⋊D47—21no—
514C2×C22⋊D47—21no—
515C2×C22⋊D47—21no—
516C2×C22⋊D47—21no—
517C2×C22⋊D47—21no—
518C2×C22⋊D47—21no—
519C2×C22⋊D47—44no—
520C2×C22⋊D47—44no—
521C2×C22⋊D47C2×D411yescharacteristic
522C2×C22⋊D47C2×D411yescharacteristic
523C22×Dic47—21no—
524C22×Dic47—21no—
525C22×Dic47—21no—
526C22×Dic47—21no—
527C22×Dic47—21no—
528C22×Dic47—21no—
529C22×Dic47—21no—
530C22×Dic47—21no—
531C22×Dic47—21no—
532C22×Dic47—21no—
533C22×Dic47—21no—
534C22×Dic47—21no—
535C22×Dic47—44no—
536C22×Dic47—44no—
537C22×Dic47C2×D411yescharacteristic
538C22×Dic47C2×D411yescharacteristic
539C22×Dic47C2×D411yescharacteristic
540C22×Dic47C2×D411yescharacteristic
541#10625352—24no—
542#10625352—44no—
543#10625352—44no—
544#10625352—44no—
545#10625352—44no—
546#10625352—44no—
547#10625352—44no—
548#10625352—44no—
549#10625352—44no—
550#10625352—82no—
551D4×D47—22no—
552D4×D47—41no—
553#10625350—82no—
554C2×D188—21no—
555C2×D188C2411yescharacteristic
556C2×D188C2411yescharacteristic
557C2×C4×D47—21no—
558C2×C4×D47—21no—
559C2×C4×D47—21no—
560C2×C4×D47—21no—
561C2×C4×D47—21no—
562C2×C4×D47—21no—
563C2×C4×D47—44no—
564C2×C4×D47C2×D411yescharacteristic
565C2×C4×D47C2×D411yescharacteristic
566C2×C4×D47C2411yescharacteristic
567C2×Dic94—21no—
568C2×Dic94—21no—
569C2×Dic94—21no—
570C2×Dic94—21no—
571C2×Dic94—21no—
572C2×Dic94—21no—
573C2×Dic94—21no—
574C2×Dic94—21no—
575C2×Dic94—44no—
576C2×Dic94—82no—
577C2×Dic94C2×D411yescharacteristic
578D8×C47—22no—
579D8×C47—41no—
580D8×C47—41no—
581M16×C47—41no—
582C2×C8×C47—41no—
583C2×C8×C47C2411yescharacteristic
584C2×C8×C47C2411yescharacteristic
585C2×C8×C47C2411yescharacteristic
586C2×C8×C47C2411yescharacteristic
587C4⋊C4×C47—21no—
588C4⋊C4×C47—21no—
589C4⋊C4×C47—21no—
590C4⋊C4×C47C2×D411yescharacteristic
591C4⋊C4×C47C2411yescharacteristic
592C4⋊C4×C47C2411yescharacteristic
593C4⋊C4×C47C2411yescharacteristic
594C4⋊C4×C47C2411yescharacteristic
595C22⋊C4×C47—21no—
596C22⋊C4×C47—21no—
597C22⋊C4×C47—21no—
598C22⋊C4×C47—21no—
599C22⋊C4×C47—21no—
600C22⋊C4×C47—21no—
601C22⋊C4×C47—21no—
602C22⋊C4×C47C2×D411yescharacteristic
603C22⋊C4×C47C2×D411yescharacteristic
604C42×C47—21no—
605C42×C47C2411yescharacteristic
606C22⋊Dic47—21no—
607C22⋊Dic47—21no—
608C22⋊Dic47—21no—
609C22⋊Dic47—21no—
610C22⋊Dic47—21no—
611C22⋊Dic47—21no—
612C22⋊Dic47—21no—
613C22⋊Dic47—21no—
614C22⋊Dic47—21no—
615C22⋊Dic47—21no—
616C22⋊Dic47—21no—
617C22⋊Dic47—21no—
618C22⋊Dic47—21no—
619C22⋊Dic47C2×D411yescharacteristic
620C22⋊Dic47C2×D411yescharacteristic
621#10625334—22no—
622#10625334—41no—
623#10625334—41no—
624#10625334—41no—
625(C2×D47)⋊C4—21no—
626(C2×D47)⋊C4—21no—
627(C2×D47)⋊C4—21no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4—21no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4C2×D411yescharacteristic
638(C2×D47)⋊C4C2×D411yescharacteristic
639C4⋊Dic47—21no—
640C4⋊Dic47—21no—
641C4⋊Dic47—21no—
642C4⋊Dic47—21no—
643C4⋊Dic47—21no—
644C4⋊Dic47—21no—
645C4⋊Dic47C2×D411yescharacteristic
646C4⋊Dic47C2411yescharacteristic
647C4⋊Dic47C2411yescharacteristic
648C4⋊Dic47C2411yescharacteristic
649C4⋊Dic47C2411yescharacteristic
650C4⋊Dic47C2411yescharacteristic
651C4⋊Dic47C2411yescharacteristic
652Dic47⋊C4—21no—
653Dic47⋊C4—21no—
654Dic47⋊C4—21no—
655Dic47⋊C4—21no—
656Dic47⋊C4—21no—
657Dic47⋊C4—21no—
658Dic47⋊C4—21no—
659Dic47⋊C4—21no—
660Dic47⋊C4—21no—
661Dic47⋊C4—21no—
662Dic47⋊C4—21no—
663Dic47⋊C4—21no—
664Dic47⋊C4C2×D411yescharacteristic
665Dic47⋊C4C2×D411yescharacteristic
666Dic47⋊C4C2×D411yescharacteristic
667Dic47⋊C4C2×D411yescharacteristic
668C4×Dic47—21no—
669C4×Dic47—21no—
670C4×Dic47—21no—
671C4×Dic47C2×D411yescharacteristic
672C4×Dic47C2×D411yescharacteristic
673C4×Dic47C2×D411yescharacteristic
674C4×Dic47C2×D411yescharacteristic
675C4×Dic47C2×D411yescharacteristic
676C4×Dic47C2×D411yescharacteristic
677C4×Dic47C2411yescharacteristic
678C4×Dic47C2411yescharacteristic
679C4×Dic47C2411yescharacteristic
680#10625329—41no—
681C2×C47⋊C8—41no—
682C2×C47⋊C8C2411yescharacteristic
683C2×C47⋊C8C2411yescharacteristic
684C2×C47⋊C8C2411yescharacteristic
685C2×C47⋊C8C2411yescharacteristic
686D376—41no—
687#10625324—41no—
688#10625324—41no—
689C23×C47—21no—
690C23×C47—21no—
691C23×C47—21no—
692C23×C47—21no—
693C23×C47—42no—
694C23×C47—42no—
695C23×C47—42no—
696C23×C47—42no—
697C23×C47—81no—
698C23×C47—81no—
699C23×C47C22×D411yescharacteristic
700C23×C47C22×D411yescharacteristic
701C22×D47—21no—
702C22×D47—21no—
703C22×D47—42no—
704C22×D47—42no—
705C22×D47—81no—
706C22×D47C22×D411yescharacteristic
707D4×C47—22no—
708D4×C47—21no—
709D4×C47—21no—
710D4×C47—21no—
711D4×C47—21no—
712D4×C47—21no—
713D4×C47—21no—
714D4×C47—21no—
715D4×C47—42no—
716D4×C47—42no—
717D4×C47—42no—
718D4×C47—42no—
719D4×C47—42no—
720D4×C47—42no—
721D4×C47—81no—
722D4×C47—81no—
723D4×C472−1+412yes—
724C2×C4×C47—21no—
725C2×C4×C47—21no—
726C2×C4×C47—21no—
727C2×C4×C47—21no—
728C2×C4×C47—21no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—42no—
733C2×C4×C47—81no—
734C2×C4×C47—81no—
735C2×C4×C47C22×D411yescharacteristic
736C2×C4×C47C22×D411yescharacteristic
737C2×C4×C47C22×D411yescharacteristic
738C2×C4×C47C22×D411yescharacteristic
739C2×C4×C47C2511yescharacteristic
740C22⋊D47—22no—
741C22⋊D47—22no—
742C22⋊D47—42no—
743C22⋊D47—42no—
744C22⋊D47—42no—
745C22⋊D47—42no—
746C22⋊D47—42no—
747C22⋊D47—42no—
748C22⋊D47—42no—
749C22⋊D47—42no—
750C22⋊D47—42no—
751C22⋊D47—42no—
752C22⋊D47—81no—
753C22⋊D47—81no—
754C22⋊D47—81no—
755C22⋊D47—81no—
756C2×Dic47—22no—
757C2×Dic47—21no—
758C2×Dic47—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—41no—
764C2×Dic47—41no—
765C2×Dic47—42no—
766C2×Dic47—42no—
767C2×Dic47—42no—
768C2×Dic47—42no—
769C2×Dic47—42no—
770C2×Dic47—42no—
771C2×Dic47—42no—
772C2×Dic47—42no—
773C2×Dic47—42no—
774C2×Dic47—42no—
775C2×Dic47—81no—
776C2×Dic47—81no—
777C2×Dic47AGL(1,ℤ/8)14yes—
778C2×Dic47C22×D411yescharacteristic
779C2×Dic47C22×D411yescharacteristic
780C2×Dic47C22×D411yescharacteristic
781C2×Dic47C22×D411yescharacteristic
782C2×Dic47C22×D411yescharacteristic
783C2×Dic47C22×D411yescharacteristic
784C2×Dic47C22×D411yescharacteristic
785D188—21no—
786D188—21no—
787D188—21no—
788D188—21no—
789D188—81no—
790C4×D47—21no—
791C4×D47—21no—
792C4×D47—22no—
793C4×D47—41no—
794C4×D47—42no—
795C4×D47—42no—
796C4×D47—42no—
797C4×D47—42no—
798C4×D47—81no—
799C4×D47—81no—
800Dic94—22no—
801Dic94—42no—
802Dic94—42no—
803Dic94—42no—
804Dic94—42no—
805Dic94—42no—
806Dic94—42no—
807Dic94—81no—
808Dic94—81no—
809C8×C47—21no—
810C8×C47—21no—
811C8×C47—21no—
812C8×C47—21no—
813C47⋊C8—21no—
814C47⋊C8—21no—
815C47⋊C8—21no—
816C47⋊C8—21no—
817#62110—471nomaximal, Sylow
818C22×C47—21no—
819C22×C47—21no—
820C22×C47—21no—
821C22×C47—22no—
822C22×C47—21no—
823C22×C47—21no—
824C22×C47—41no—
825C22×C47—41no—
826C22×C47—41no—
827C22×C47—41no—
828C22×C47—41no—
829C22×C47—41no—
830C22×C47—41no—
831C22×C47—41no—
832C22×C47—41no—
833C22×C47—41no—
834C22×C47—41no—
835C22×C47—84no—
836C22×C47—84no—
837C22×C47C2×AGL(1,ℤ/8)12yes—
838C22×C47C23×D411yescharacteristic
839C2×D47—21no—
840C2×D47—21no—
841C2×D47—21no—
842C2×D47—41no—
843C2×D47—41no—
844C2×D47—41no—
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—84no—
849C4×C47—21no—
850C4×C47—21no—
851C4×C47—21no—
852C4×C47—21no—
853C4×C47—41no—
854C4×C47—41no—
855C4×C47—41no—
856C4×C47—41no—
857C4×C47C2×2−1+411yescharacteristic
858C4×C47#58511yescharacteristic
859Dic47—21no—
860Dic47—21no—
861Dic47—21no—
862Dic47—21no—
863Dic47—21no—
864Dic47—41no—
865Dic47—41no—
866Dic47—41no—
867Dic47—41no—
868Dic47—41no—
869Dic47—41no—
870Dic47C2×AGL(1,ℤ/8)12yes—
871Dic47C2×AGL(1,ℤ/8)12yes—
872#3511—471no—
873D4×#41—471no—
874#3384—471no—
875#3384—471no—
876#3366—471no—
877#3366—471no—
878#3354—471no—
879#3354—471no—
880#3345—471no—
881#3345—471no—
882#3345—471no—
883#3345—471no—
884#3325—471no—
885#3325—471no—
886#3318—471no—
887#3318—471no—
888#3318—471no—
889#3318D4711yescharacteristic, complemented
890#3253—471no—
891#3253—471no—
892#3245—471no—
893#3235—471no—
894#3235—471no—
895#3227—471no—
896#3109—471no—
897#3109—471no—
898#3100—471no—
899#3077—471no—
900#3077—471no—
901C2×#476—471no—
902#2989—471no—
903C2×C47—22no—
904C2×C47—42no—
905C2×C47—41no—
906C2×C47—81no—
907C2×C47—81no—
908C2×C47—81no—
909C2×C47#348911yescharacteristic
910C2×C47C22×AGL(1,ℤ/8)11yescharacteristic
911C2×C47#358511yescharacteristic
912D47—41no—
913D47—81no—
914D47—81no—
915C22×#41—941no—
916#556—941no—
917#555—471no—
918#555—471no—
919#554—471no—
920#554—471no—
921#553—471no—
922#553—471no—
923#553—471no—
924#553C2×D4711yescharacteristic, complemented
925#550—471no—
926D4×Q8—471no—
927#548—941no—
928#548—941no—
929#548—941no—
930#547—471no—
931#547—471no—
932#547—471no—
933#547—941no—
934#546—941no—
935#546—941no—
936#546—941no—
937D42—471no—
938D42—471no—
939D42C2×D4711yescharacteristic
940#542—941no—
941#542—941no—
942#537—941no—
943#533—471no—
944#533—471no—
945#532—471no—
946#532—471no—
947#532—471no—
948#532—471no—
949#532—471no—
950#532—471no—
951C2×C4⋊Q8—471no—
952#525—941no—
953#525—941no—
954#525—941no—
955#520—941no—
956C4×#41—471no—
957C2×C4×D4—471no—
958C2×C4×D4—471no—
959C2×C4×D4—471no—
960#501—471no—
961#501—471no—
962#501—471no—
963#501—471no—
964#498—471no—
965#498—471no—
966#490—471no—
967#490—471no—
968#490—471no—
969#490C2×D4711yescharacteristic, complemented
970#486—471no—
971#486—471no—
972#482—471no—
973#482—471no—
974#482—471no—
975#482—471no—
976#482—471no—
977#482—471no—
978#482—471no—
979#482C2×D4711yescharacteristic, complemented
980#481—471no—
981#481—471no—
982#481—471no—
983#481—471no—
984#481—471no—
985#481—471no—
986#481—471no—
987#481C2×D4711yescharacteristic, complemented
988#480—471no—
989#480—471no—
990#478—471no—
991#478—471no—
992#478—471no—
993#478—471no—
994#478—471no—
995#478—471no—
996#478—471no—
997#478C2×D4711yescharacteristic
998#476—471no—
999#476—471no—
1000#476—471no—
1001#476—471no—
1002#476—471no—
1003#476—471no—
1004#476—471no—
1005#476—471no—
1006#476—471no—
1007#476—471no—
1008#476—471no—
1009#476—471no—
1010#476—471no—
1011#476—471no—
1012#476—471no—
1013#476—471no—
1014#474—471no—
1015#474—471no—
1016#474—471no—
1017#474—471no—
1018#474—471no—
1019#474—471no—
1020#469—471no—
1021#469—471no—
1022#469—471no—
1023#469—471no—
1024#469—471no—
1025#469—471no—
1026#469—471no—
1027#469C2×D4711yescharacteristic, complemented
1028#466—471no—
1029#466—471no—
1030#466—471no—
1031#466C2×D4711yescharacteristic, complemented
1032#459—471no—
1033#459—471no—
1034#459—471no—
1035#459—471no—
1036#459—471no—
1037#459—471no—
1038#459—471no—
1039#459—471no—
1040#459—471no—
1041#459C2×D4711yescharacteristic, complemented
1042#447—471no—
1043#447—471no—
1044#447—471no—
1045#447—471no—
1046#447C2×D4711yescharacteristic
1047#447C2×D4711yescharacteristic
1048#446—471no—
1049#446—471no—
1050#442—471no—
1051#442—471no—
1052#442—471no—
1053#442—471no—
1054#442—471no—
1055#442—471no—
1056#442—471no—
1057#442C2×D4711yescharacteristic
1058C4×D8—471no—
1059C4×D8—471no—
1060C4×D8—471no—
1061C4×D8—471no—
1062#436—471no—
1063#436—471no—
1064#435—471no—
1065#435—471no—
1066#435—471no—
1067#435C2×D4711yescharacteristic, complemented
1068#432—471no—
1069#432—471no—
1070#431—471no—
1071#428—471no—
1072#428—471no—
1073#428—471no—
1074#428—471no—
1075C2×#106—471no—
1076C2×#106—471no—
1077#423—471no—
1078#423—471no—
1079C2×C4⋊C8—471no—
1080#418—471no—
1081#418—471no—
1082#418—471no—
1083#418C2×D4711yescharacteristic
1084C2×#102—471no—
1085C2×#102C2×D4711yescharacteristic
1086C47#6211011yescharacteristic, complemented, Sylow
1087C2×#41—471no—
1088C2×#41—941no—
1089C2×#41—941no—
1090C2×#41—941no—
1091C2×#41—941no—
1092C2×#41—941no—
1093C2×#41—941no—
1094C2×#41—941no—
1095C2×#41—941no—
1096C2×#41—941no—
1097C2×#41—941no—
1098C2×#41—1888no—
1099C22×Q8—941no—
1100C22×Q8—941no—
1101C22×D4—21no—
1102C22×D4—471no—
1103C22×D4—941no—
1104C22×D4—941no—
1105C22×D4C22×D4711yescharacteristic
1106C22×D4C22×D4711yescharacteristic
1107C23×C4—941no—
1108C23×C4—941no—
1109C23×C4—941no—
1110C2×D8—471no—
1111C2×D8—471no—
1112C2×D8—471no—
1113C2×D8—471no—
1114C2×D8—471no—
1115C2×D8C22×D4711yescharacteristic
1116C2×D8C22×D4711yescharacteristic
1117C2×D8C22×D4711yescharacteristic
1118C2×M16—471no—
1119C2×M16—471no—
1120C2×M16—471no—
1121C2×M16C22×D4711yescharacteristic
1122C22×C8—471no—
1123C22×C8C22×D4711yescharacteristic
1124C4⋊Q8—471no—
1125C4⋊Q8—471no—
1126C4⋊Q8—471no—
1127C4⋊Q8—471no—
1128C4⋊Q8—471no—
1129C4⋊Q8—471no—
1130C4⋊Q8—471no—
1131C4⋊Q8—471no—
1132C4⋊Q8—941no—
1133C4⋊Q8—941no—
1134#127—471no—
1135#127—471no—
1136#127—471no—
1137#127C22×D4711yescharacteristic
1138#126—21no—
1139#126—941no—
1140#126—941no—
1141#126—941no—
1142#125—471no—
1143#125—471no—
1144#125—471no—
1145#125C22×D4711yescharacteristic
1146#124—941no—
1147#124—941no—
1148#124—941no—
1149#124—941no—
1150#124—941no—
1151#124—941no—
1152#124—941no—
1153#124—941no—
1154#124—941no—
1155#124—941no—
1156#123—21no—
1157#123—941no—
1158#123—941no—
1159#123—941no—
1160#123—941no—
1161#123—941no—
1162#123—941no—
1163#123—941no—
1164#123—941no—
1165#123—941no—
1166C22⋊Q8—941no—
1167C22⋊Q8—941no—
1168C22⋊Q8—941no—
1169C22⋊Q8—941no—
1170C22⋊Q8—941no—
1171C22⋊Q8—941no—
1172C22⋊Q8—941no—
1173C22⋊Q8—941no—
1174C22⋊Q8—941no—
1175C22⋊Q8—941no—
1176C22⋊Q8—941no—
1177C22⋊Q8—941no—
1178C22⋊Q8—941no—
1179C22⋊Q8—941no—
1180C22⋊Q8—941no—
1181C22⋊Q8—941no—
1182#121—21no—
1183#121—21no—
1184#121—471no—
1185#121—471no—
1186#121—471no—
1187#121—471no—
1188#121—471no—
1189#121—471no—
1190#121—471no—
1191#121—471no—
1192#121—941no—
1193#121—941no—
1194#121—941no—
1195#121—941no—
1196#121—941no—
1197#121—941no—
1198#121—941no—
1199#121—941no—
1200#121—941no—
1201#121—941no—
1202#121—941no—
1203#121—941no—
1204#121—941no—
1205#121—941no—
1206#121—941no—
1207#121—941no—
1208#121C22×D4711yescharacteristic
1209#121C22×D4711yescharacteristic
1210#121C22×D4711yescharacteristic
1211#121C22×D4711yescharacteristic
1212#120—21no—
1213#120—21no—
1214#120—941no—
1215#120—941no—
1216#120—941no—
1217#120—941no—
1218C4×Q8—471no—
1219C4×Q8—471no—
1220C4×Q8—941no—
1221C4×Q8—941no—
1222C4×Q8—941no—
1223C4×Q8—941no—
1224C4×D4—21no—
1225C4×D4—471no—
1226C4×D4—471no—
1227C4×D4—471no—
1228C4×D4—471no—
1229C4×D4—471no—
1230C4×D4—471no—
1231C4×D4—471no—
1232C4×D4—471no—
1233C4×D4—471no—
1234C4×D4—471no—
1235C4×D4—471no—
1236C4×D4—471no—
1237C4×D4—471no—
1238C4×D4—471no—
1239C4×D4—471no—
1240C4×D4—471no—
1241C4×D4—471no—
1242C4×D4—471no—
1243C4×D4—471no—
1244C4×D4—941no—
1245C4×D4—941no—
1246C4×D4—941no—
1247C4×D4—941no—
1248C4×D4—941no—
1249C4×D4—941no—
1250C4×D4—941no—
1251C4×D4—941no—
1252C4×D4—941no—
1253C4×D4—941no—
1254C4×D4—941no—
1255C4×D4—941no—
1256C4×D4—941no—
1257C4×D4—941no—
1258C4×D4—941no—
1259C4×D4C22×D4711yescharacteristic
1260C4×D4C22×D4711yescharacteristic
1261C4×D4C22×D4711yescharacteristic
1262#117—471no—
1263#117—471no—
1264#117—471no—
1265#117—471no—
1266#117—471no—
1267#117—471no—
1268#117—941no—
1269#117—941no—
1270#117C22×D4711yescharacteristic
1271C2×C4⋊C4—471no—
1272C2×C4⋊C4—471no—
1273C2×C4⋊C4—471no—
1274C2×C4⋊C4—471no—
1275C2×C4⋊C4—941no—
1276C2×C4⋊C4—941no—
1277C2×C4⋊C4—941no—
1278C2×C4⋊C4C22×D4711yescharacteristic
1279C2×C22⋊C4—941no—
1280C2×C22⋊C4—941no—
1281C2×C22⋊C4—941no—
1282C2×C42—471no—
1283C2×C42—471no—
1284C2×C42—471no—
1285#107—471no—
1286#107—471no—
1287#107—471no—
1288#107—471no—
1289#107—471no—
1290#107—471no—
1291#107—471no—
1292#107C22×D4711yescharacteristic
1293#106—471no—
1294#106—471no—
1295#106—471no—
1296#106—471no—
1297#106—471no—
1298#106—471no—
1299#106—471no—
1300#106—471no—
1301#106—471no—
1302#106—471no—
1303#106—471no—
1304#106—471no—
1305#106—471no—
1306#106—471no—
1307#106C22×D4711yescharacteristic
1308#106C22×D4711yescharacteristic
1309C4⋊C8—471no—
1310C4⋊C8—471no—
1311C4⋊C8—471no—
1312C4⋊C8—471no—
1313C4⋊C8—471no—
1314C4⋊C8—471no—
1315C4⋊C8—471no—
1316C4⋊C8—471no—
1317C4⋊C8—471no—
1318C4⋊C8C22×D4711yescharacteristic
1319#102—471no—
1320#102—471no—
1321#102—471no—
1322#102—471no—
1323#102—471no—
1324#102—471no—
1325#102—471no—
1326#102—471no—
1327#102—471no—
1328#102—471no—
1329#102—471no—
1330#102—471no—
1331#102—471no—
1332#102—471no—
1333#102—471no—
1334#102—471no—
1335#102—471no—
1336#102—471no—
1337#102—471no—
1338#102—471no—
1339#102—471no—
1340#102—471no—
1341#102C22×D4711yescharacteristic
1342#102C22×D4711yescharacteristic
1343#102C22×D4711yescharacteristic
1344#102C22×D4711yescharacteristic
1345#102C22×D4711yescharacteristic
1346#102C22×D4711yescharacteristic
1347#102C22×D4711yescharacteristic
1348#102C22×D4711yescharacteristic
1349#102C22×D4711yescharacteristic
1350#102C22×D4711yescharacteristic
1351C22⋊C8—471no—
1352C22⋊C8—471no—
1353C22⋊C8—471no—
1354C22⋊C8—471no—
1355C22⋊C8C22×D4711yescharacteristic
1356C22⋊C8C22×D4711yescharacteristic
1357#97—471no—
1358#97—471no—
1359#97—471no—
1360#97C22×D4711yescharacteristic
1361C4×C8—471no—
1362C4×C8—471no—
1363C24—21no—
1364C24—21no—
1365C24—941no—
1366#41—944no—
1367#41—3762no—
1368#41—3762no—
1369#41—1884no—
1370#41—1884no—
1371#41—1884no—
1372#41—1884no—
1373#41—1884no—
1374#41—1884no—
1375#41—1884no—
1376#41—1884no—
1377C2×Q8—471no—
1378C2×Q8—941no—
1379C2×Q8—941no—
1380C2×Q8—941no—
1381C2×Q8—941no—
1382C2×Q8—941no—
1383C2×Q8—941no—
1384C2×Q8—941no—
1385C2×Q8—941no—
1386C2×Q8—3762no—
1387C2×Q8—1884no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—44no—
1401C2×D4—471no—
1402C2×D4—471no—
1403C2×D4—471no—
1404C2×D4—471no—
1405C2×D4—941no—
1406C2×D4—941no—
1407C2×D4—941no—
1408C2×D4—941no—
1409C2×D4—941no—
1410C2×D4—941no—
1411C2×D4—941no—
1412C2×D4—941no—
1413C2×D4—942no—
1414C2×D4—941no—
1415C2×D4—941no—
1416C2×D4—941no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—1881no—
1422C2×D4—1884no—
1423C2×D4—1884no—
1424C2×D4D4×D4711yescharacteristic
1425C2×D4C23×D4711yescharacteristic
1426C2×D4C23×D4711yescharacteristic
1427C2×D4C23×D4711yescharacteristic
1428C2×D4C23×D4711yescharacteristic
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—471no—
1433C22×C4—471no—
1434C22×C4—471no—
1435C22×C4—471no—
1436C22×C4—471no—
1437C22×C4—471no—
1438C22×C4—471no—
1439C22×C4—941no—
1440C22×C4—941no—
1441C22×C4—941no—
1442C22×C4—941no—
1443C22×C4—941no—
1444C22×C4—941no—
1445C22×C4—941no—
1446C22×C4—941no—
1447C22×C4—941no—
1448C22×C4—941no—
1449C22×C4—941no—
1450C22×C4—941no—
1451C22×C4—941no—
1452C22×C4—941no—
1453C22×C4—941no—
1454C22×C4—941no—
1455C22×C4—941no—
1456C22×C4—941no—
1457C22×C4—1884no—
1458C22×C4—1884no—
1459C22×C4—1884no—
1460C22×C4C23×D4711yescharacteristic
1461C22×C4C23×D4711yescharacteristic
1462D8—22no—
1463D8—41no—
1464D8—41no—
1465D8—942no—
1466D8—1881no—
1467D8—1881no—
1468D8—1881no—
1469D8—1881no—
1470M16—41no—
1471M16—1881no—
1472M16—1881no—
1473M16—1881no—
1474C2×C8—41no—
1475C2×C8—471no—
1476C2×C8—471no—
1477C2×C8—471no—
1478C2×C8—471no—
1479C2×C8—1881no—
1480C2×C8C23×D4711yescharacteristic
1481C2×C8C23×D4711yescharacteristic
1482C2×C8C23×D4711yescharacteristic
1483C2×C8C23×D4711yescharacteristic
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—471no—
1488C4⋊C4—471no—
1489C4⋊C4—471no—
1490C4⋊C4—471no—
1491C4⋊C4—471no—
1492C4⋊C4—471no—
1493C4⋊C4—471no—
1494C4⋊C4—471no—
1495C4⋊C4—471no—
1496C4⋊C4—471no—
1497C4⋊C4—471no—
1498C4⋊C4—941no—
1499C4⋊C4—941no—
1500C4⋊C4—941no—
1501C4⋊C4—941no—
1502C4⋊C4—941no—
1503C4⋊C4—941no—
1504C4⋊C4—941no—
1505C4⋊C4—941no—
1506C4⋊C4—941no—
1507C4⋊C4—941no—
1508C4⋊C4—941no—
1509C4⋊C4—941no—
1510C4⋊C4—941no—
1511C4⋊C4—941no—
1512C4⋊C4—941no—
1513C4⋊C4—941no—
1514C4⋊C4—941no—
1515C4⋊C4—941no—
1516C4⋊C4D4×D4711yescharacteristic
1517C4⋊C4C23×D4711yescharacteristic
1518C4⋊C4C23×D4711yescharacteristic
1519C4⋊C4C23×D4711yescharacteristic
1520C4⋊C4C23×D4711yescharacteristic
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—471no—
1529C22⋊C4—471no—
1530C22⋊C4—471no—
1531C22⋊C4—471no—
1532C22⋊C4—941no—
1533C22⋊C4—941no—
1534C22⋊C4—941no—
1535C22⋊C4—941no—
1536C22⋊C4—941no—
1537C22⋊C4—941no—
1538C22⋊C4—941no—
1539C22⋊C4—941no—
1540C22⋊C4—941no—
1541C22⋊C4—941no—
1542C22⋊C4—941no—
1543C22⋊C4—941no—
1544C22⋊C4—941no—
1545C22⋊C4—941no—
1546C22⋊C4—941no—
1547C22⋊C4—941no—
1548C22⋊C4—941no—
1549C22⋊C4—941no—
1550C22⋊C4—941no—
1551C22⋊C4—941no—
1552C22⋊C4—941no—
1553C22⋊C4—941no—
1554C22⋊C4—941no—
1555C22⋊C4—941no—
1556C22⋊C4—941no—
1557C22⋊C4D4×D4711yescharacteristic
1558C22⋊C4D4×D4711yescharacteristic
1559C42—21no—
1560C42—471no—
1561C42—471no—
1562C42—471no—
1563C42—471no—
1564C42—471no—
1565C42—471no—
1566C42—471no—
1567C42—471no—
1568C42—471no—
1569C42—941no—
1570C42—941no—
1571C42—941no—
1572C42C23×D4711yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—42no—
1578C23—42no—
1579C23—42no—
1580C23—42no—
1581C23—81no—
1582C23—81no—
1583C23—471no—
1584C23—941no—
1585C23—941no—
1586C23—3761no—
1587C23—1882no—
1588C23—1882no—
1589C23C2×D4×D4711yescharacteristic
1590C23C2×D4×D4711yescharacteristic
1591Q8—942no—
1592Q8—3761no—
1593Q8—3761no—
1594Q8—1882no—
1595Q8—1882no—
1596Q8—1882no—
1597Q8—1882no—
1598Q8—1882no—
1599Q8—1882no—
1600D4—22no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—42no—
1609D4—42no—
1610D4—42no—
1611D4—42no—
1612D4—42no—
1613D4—42no—
1614D4—81no—
1615D4—81no—
1616D4—942no—
1617D4—942no—
1618D4—941no—
1619D4—941no—
1620D4—941no—
1621D4—941no—
1622D4—3761no—
1623D4—3761no—
1624D4—3761no—
1625D4—3761no—
1626D4—3761no—
1627D4—1882no—
1628D4—1882no—
1629D4—1882no—
1630D4—1882no—
1631D4—1882no—
1632D4—1882no—
1633D4—1882no—
1634D4—1882no—
1635D4—1882no—
1636D4—1882no—
1637D4#1309407112yes—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—42no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—474no—
1650C2×C4—471no—
1651C2×C4—471no—
1652C2×C4—471no—
1653C2×C4—471no—
1654C2×C4—471no—
1655C2×C4—471no—
1656C2×C4—471no—
1657C2×C4—942no—
1658C2×C4—942no—
1659C2×C4—941no—
1660C2×C4—941no—
1661C2×C4—941no—
1662C2×C4—941no—
1663C2×C4—941no—
1664C2×C4—941no—
1665C2×C4—941no—
1666C2×C4—941no—
1667C2×C4—3761no—
1668C2×C4—3761no—
1669C2×C4—3761no—
1670C2×C4—3761no—
1671C2×C4—1881no—
1672C2×C4—1882no—
1673C2×C4—1882no—
1674C2×C4—1882no—
1675C2×C4—1882no—
1676C2×C4—1882no—
1677C2×C4—1882no—
1678C2×C4—1882no—
1679C2×C4—1882no—
1680C2×C4—1882no—
1681C2×C4—1882no—
1682C2×C4—1881no—
1683C2×C4—1881no—
1684C2×C4—1882no—
1685C2×C4—1882no—
1686C2×C4—1882no—
1687C2×C4—1882no—
1688C2×C4C2×D4×D4711yescharacteristic
1689C2×C4C2×D4×D4711yescharacteristic
1690C2×C4C2×D4×D4711yescharacteristic
1691C2×C4C2×D4×D4711yescharacteristic
1692C2×C4C24×D4711yescharacteristic
1693C8—21no—
1694C8—21no—
1695C8—21no—
1696C8—21no—
1697C8—941no—
1698C8—941no—
1699C8—941no—
1700C8—941no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—22no—
1705C22—21no—
1706C22—21no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—84no—
1719C22—84no—
1720C22—941no—
1721C22—941no—
1722C22—941no—
1723C22—3764no—
1724C22—1881no—
1725C22—1881no—
1726C22—1881no—
1727C22—1881no—
1728C22—1881no—
1729C22—1881no—
1730C22AGL(1,ℤ/8)×D4712yes—
1731C22C22×D4×D4711yescharacteristic
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—21no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—472no—
1741C4—472no—
1742C4—941no—
1743C4—941no—
1744C4—941no—
1745C4—941no—
1746C4—941no—
1747C4—1881no—
1748C4—1881no—
1749C4—1881no—
1750C4—1881no—
1751C4—1881no—
1752C4—1881no—
1753C4C2×#1309407111yescharacteristic
1754C4#1568995811yescharacteristic
1755C2—22no—
1756C2—41no—
1757C2—42no—
1758C2—81no—
1759C2—81no—
1760C2—81no—
1761C2—3761no—
1762C2—3761no—
1763C2—1881no—
1764C2#2025705911yescharacteristic
1765C2C2×AGL(1,ℤ/8)×D4711yescharacteristic
1766C2#2025816311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3318C2
socleC22×C47C23×D4
hypercenter#3318D47
hypocenterC47#62110
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #20257290C2semidirect
2. D4×#10625352C2semidirect
3. #20256290C2semidirect
4. #20256288C2semidirect
5. #20256092C2semidirect
6. #20256090C2semidirect
7. #20255981C2semidirect
8. #20255978C2semidirect
9. #20255864C2semidirect
10. #20255860C2semidirect
11. #20255856C2semidirect
12. #20255852C2semidirect
13. #20255626C2semidirect
14. #20255623C2semidirect
15. #20255533C2semidirect
16. #20255529C2semidirect
17. #20255525C2semidirect
18. #20254767C2semidirect
19. #20254765C2semidirect
20. #20254694C2semidirect
21. #20254583C2semidirect
22. #20254581C2semidirect
23. #20254514C2semidirect
24. #20253477C2semidirect
25. #20253474C2semidirect
26. #20253383C2semidirect
27. #20253183C2semidirect
28. #20253182C2semidirect
29. C2×#15689411C2semidirect
30. #20252500C2semidirect
31. C47×#3318C2semidirect
34. #15689837C22semidirect
35. #15689836C22semidirect
36. #15689832C22semidirect
37. #15689829C22semidirect
38. #15689825C22semidirect
39. #15689821C22semidirect
40. #15689819C22semidirect
58. #15689679C22semidirect
59. #15689676C22semidirect
61. #15689670C22semidirect
64. #15689668C22semidirect
65. #15689668C22semidirect
66. C2×#13094023C22semidirect
75. #15689533C22semidirect
76. #15689532C22semidirect
77. #15689531C22semidirect
78. #15689530C22semidirect
79. #15689520C22semidirect
80. #15689520C22semidirect
81. #15689487C22semidirect
82. #15689486C22semidirect
83. #15689486C22semidirect
84. #15689468C22semidirect
85. #15689468C22semidirect
86. #15689448C22semidirect
87. #15689447C22semidirect
88. #15689446C22semidirect
89. #15689446C22semidirect
90. #15689445C22semidirect
91. #15689445C22semidirect
92. #15689444C22semidirect
93. #15689443C22semidirect
94. #15689442C22semidirect
95. #15689442C22semidirect
96. #15689441C22semidirect
97. #15689440C22semidirect
98. #15689439C22semidirect
99. #15689439C22semidirect
100. #15689437C22semidirect
101. #15689434C22semidirect
103. #15689425C22semidirect
104. #15689424C22semidirect
107. #15689421C22semidirect
108. #15689420C22semidirect
109. #15689414C22semidirect
110. #15689413C22semidirect
111. #15689412C22semidirect
112. #15689412C22semidirect
113. #15689412C22semidirect
118. #15689411C22semidirect
119. #15689411C22semidirect
120. #15689411C22semidirect
121. #15689411C22semidirect
122. #15689411C22semidirect
123. #15689411C22semidirect
124. #15689411C22semidirect
125. #15689402C22semidirect
126. #15689402C22semidirect
128. #15689401C22semidirect
129. #15689401C22semidirect
130. #15689401C22semidirect
131. #15689376C22semidirect
132. #15689375C22semidirect
133. #15689375C22semidirect
134. #15689374C22semidirect
135. #15689374C22semidirect
136. #15689373C22semidirect
137. #15689373C22semidirect
138. #15689359C22semidirect
139. #15689357C22semidirect
140. #15689357C22semidirect
141. #15689317C22semidirect
142. #15689317C22semidirect
143. #15689317C22semidirect
145. #15689316C22semidirect
146. #15689316C22semidirect
147. #15689316C22semidirect
148. #15689316C22semidirect
149. #15689315C22semidirect
154. #15689252C22semidirect
155. #15689251C22semidirect
156. #15689236C22semidirect
158. #15689235C22semidirect
160. #15689233C22semidirect
162. #15689232C22semidirect
164. D8×Dic47C22semidirect
166. #15689203C22semidirect
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×#13093956C22semidirect
180. C2×#13093955C22semidirect
181. #15689146C22semidirect
182. #15689145C22semidirect
183. C2×Dic47⋊C8C22semidirect
188. C47×#553C22semidirect
190. C47×#490C22semidirect
191. C47×#482C22semidirect
192. C47×#481C22semidirect
194. C47×#469C22semidirect
195. C47×#466C22semidirect
196. C47×#459C22semidirect
200. C47×#435C22semidirect
889. #3318D47semidirect
924. #553C2×D47semidirect
969. #490C2×D47semidirect
979. #482C2×D47semidirect
987. #481C2×D47semidirect
1027. #469C2×D47semidirect
1031. #466C2×D47semidirect
1041. #459C2×D47semidirect
1067. #435C2×D47semidirect
1086. C47#62110semidirect

Maximal subgroups

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

subgroupindex
#202572902
D4×#106253522
#202562902
#202562882
#202560922
#202560902
#202559812
#202559782
#202558642
#202558602
#202558562
#202558522
#202556262
#202556232
#202555332
#202555292
#202555252
#202547672
#202547652
#202546942
#202545832
#202545812
#202545142
#202534772
#202534742
#202533832
#202531832
#202531822
C2×#156894112
#202525002
C47×#33182
#6211047