Finite Group Databasebeta

← #27110082

Subgroups — #27110082

Order 12032.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257981C211yesmaximal, characteristic, complemented
2#20257329C211yesmaximal, characteristic, complemented
3#20256453C211yesmaximal, characteristic, complemented
4#20256395C211yesmaximal, characteristic, complemented
5#20256146C211yesmaximal, characteristic, complemented
6#20256041C211yesmaximal, characteristic, complemented
7#20255693C211yesmaximal, characteristic, complemented
8#20255651C211yesmaximal, characteristic, complemented
9#20255634C211yesmaximal, characteristic, complemented
10#20255507C211yesmaximal, characteristic, complemented
11#20255351C211yesmaximal, characteristic, complemented
12#20255244C211yesmaximal, characteristic, complemented
13#20255089C211yesmaximal, characteristic, complemented
14#20255002C211yesmaximal, characteristic, complemented
15#20254995C211yesmaximal, characteristic, complemented
16#20254992C211yesmaximal, characteristic, complemented
17#20254881C211yesmaximal, characteristic, complemented
18#20254828C211yesmaximal, characteristic, complemented
19#20254804C211yesmaximal, characteristic, complemented
20#20254790C211yesmaximal, characteristic, complemented
21#20254492C211yesmaximal, characteristic, complemented
22#20254436C211yesmaximal, characteristic, complemented
23#20254367C211yesmaximal, characteristic, complemented
24#20253630C211yesmaximal, characteristic, complemented
25#20253595C211yesmaximal, characteristic, complemented
26#20253436C211yesmaximal, characteristic, complemented
27#20252925C211yesmaximal, characteristic, complemented
28#20252895C211yesmaximal, characteristic, complemented
29#20252849C211yesmaximal, characteristic, complemented
30#20252530C211yesmaximal, characteristic, complemented
31C47×#3267C211yesmaximal, characteristic, complemented
32C2×#13094051C2211yescharacteristic
33C2×#13094050C2211yescharacteristic
34C2×#13094049C2211yescharacteristic
35C2×SD16×D47C2211yescharacteristic, complemented
36#15689870—21no—
37#15689861—21no—
38#15689856C2211yescharacteristic, complemented
39#15689855C2211yescharacteristic, complemented
40#15689847C2211yescharacteristic, complemented
41#15689830C2211yescharacteristic, complemented
42#15689825—21no—
43#15689825C2211yescharacteristic
44#15689821—21no—
45#15689815C2211yescharacteristic, complemented
46#15689801—21no—
47#15689799—21no—
48#15689796—21no—
49#15689792C2211yescharacteristic
50#15689783C2211yescharacteristic
51#15689780C2211yescharacteristic, complemented
52#15689777C2211yescharacteristic
53#15689769C2211yescharacteristic, complemented
54#15689764C2211yescharacteristic, complemented
55#15689761C2211yescharacteristic
56#15689760—21no—
57D4×C22⋊D47C2211yescharacteristic, complemented
58#15689742C2211yescharacteristic, complemented
59#15689733C2211yescharacteristic, complemented
60#15689726C2211yescharacteristic
61#15689725—21no—
62#15689724C2211yescharacteristic, complemented
63#15689720—21no—
64#15689717—21no—
65#15689710—21no—
66#15689709—21no—
67#15689705—21no—
68#15689698C2211yescharacteristic, complemented
69#15689687C2211yescharacteristic, complemented
70#15689669C2211yescharacteristic, complemented
71#15689659C2211yescharacteristic, complemented
72#15689659C2211yescharacteristic, complemented
73#15689653C2211yescharacteristic
74#15689629—21no—
75C2×#13094008—21no—
76#15689606C2211yescharacteristic
77#15689595C2211yescharacteristic, complemented
78C2×D4×Dic47C2211yescharacteristic, complemented
79#15689509C2211yescharacteristic
80#15689508C2211yescharacteristic, complemented
81#15689505C2211yescharacteristic, complemented
82#15689504C2211yescharacteristic, complemented
83#15689498C2211yescharacteristic
84#15689486C2211yescharacteristic, complemented
85#15689483C2211yescharacteristic, complemented
86#15689479C2211yescharacteristic, complemented
87#15689479C2211yescharacteristic, complemented
88#15689476C2211yescharacteristic, complemented
89#15689473C2211yescharacteristic, complemented
90#15689456C2211yescharacteristic, complemented
91#15689456C2211yescharacteristic, complemented
92#15689454C2211yescharacteristic, complemented
93#15689449C2211yescharacteristic, complemented
94#15689446C2211yescharacteristic, complemented
95#15689442C2211yescharacteristic, complemented
96#15689433C2211yescharacteristic, complemented
97#15689428C2211yescharacteristic, complemented
98#15689428C2211yescharacteristic, complemented
99#15689428C2211yescharacteristic, complemented
100#15689425C2211yescharacteristic, complemented
101#15689425C2211yescharacteristic, complemented
102#15689422C2211yescharacteristic, complemented
103#15689422C2211yescharacteristic, complemented
104#15689414C2211yescharacteristic, complemented
105#15689403C2211yescharacteristic, complemented
106#15689376C2211yescharacteristic
107#15689373C2211yescharacteristic, complemented
108#15689372C2211yescharacteristic, complemented
109#15689371C2211yescharacteristic, complemented
110#15689371C2211yescharacteristic, complemented
111#15689371C2211yescharacteristic, complemented
112#15689367C2211yescharacteristic, complemented
113#15689358C2211yescharacteristic
114#15689352C2211yescharacteristic, complemented
115#15689349C2211yescharacteristic, complemented
116#15689347C2211yescharacteristic, complemented
117#15689347C2211yescharacteristic, complemented
118#15689347C2211yescharacteristic, complemented
119#15689341C2211yescharacteristic, complemented
120#15689341C2211yescharacteristic, complemented
121#15689340C2211yescharacteristic
122#15689340C2211yescharacteristic
123#15689340C2211yescharacteristic
124#15689340C2211yescharacteristic, complemented
125#15689340C2211yescharacteristic, complemented
126#15689339C2211yescharacteristic, complemented
127#15689338C2211yescharacteristic
128#15689336C2211yescharacteristic, complemented
129#15689336C2211yescharacteristic, complemented
130#15689335C2211yescharacteristic, complemented
131#15689331C2211yescharacteristic, complemented
132#15689327C2211yescharacteristic, complemented
133#15689326C2211yescharacteristic, complemented
134#15689326C2211yescharacteristic, complemented
135#15689325C2211yescharacteristic, complemented
136#15689322C2211yescharacteristic, complemented
137#15689321C2211yescharacteristic, complemented
138#15689321C2211yescharacteristic, complemented
139#15689321C2211yescharacteristic, complemented
140#15689317C2211yescharacteristic, complemented
141#15689316C2211yescharacteristic
142#15689316C2211yescharacteristic
143#15689316C2211yescharacteristic, complemented
144#15689285C2211yescharacteristic
145#15689284C2211yescharacteristic, complemented
146#15689283C2211yescharacteristic, complemented
147#15689277C2211yescharacteristic, complemented
148#15689270C2211yescharacteristic
149#15689268C2211yescharacteristic, complemented
150#15689268C2211yescharacteristic, complemented
151#15689267C2211yescharacteristic
152#15689260C2211yescharacteristic, complemented
153#15689259C2211yescharacteristic, complemented
154#15689258C2211yescharacteristic
155#15689257C2211yescharacteristic
156#15689256C2211yescharacteristic, complemented
157#15689255C2211yescharacteristic, complemented
158#15689251C2211yescharacteristic, complemented
159#15689247C2211yescharacteristic, complemented
160#15689236C2211yescharacteristic, complemented
161#15689230C2211yescharacteristic, complemented
162#15689220C2211yescharacteristic, complemented
163#15689215C2211yescharacteristic, complemented
164SD16×Dic47C2211yescharacteristic, complemented
165SD16×Dic47C2211yescharacteristic, complemented
166SD16×Dic47C2211yescharacteristic, complemented
167C4×#10625334C2211yescharacteristic
168C4×#10625334C2211yescharacteristic, complemented
169#15689203C2211yescharacteristic
170#15689203C2211yescharacteristic, complemented
171#15689201C2211yescharacteristic, complemented
172#15689199C2211yescharacteristic, complemented
173#15689198C2211yescharacteristic, complemented
174#15689197C2211yescharacteristic, complemented
175C8×C22⋊D47C2211yescharacteristic, complemented
176#15689185C2211yescharacteristic, complemented
177#15689181C2211yescharacteristic, complemented
178#15689173C2211yescharacteristic, complemented
179#15689149C2211yescharacteristic, complemented
180#15689148C2211yescharacteristic, complemented
181#15689146C2211yescharacteristic, complemented
182#15689130C2211yescharacteristic, complemented
183#15689125C2211yescharacteristic, complemented
184#15689124C2211yescharacteristic, complemented
185#15689124C2211yescharacteristic, complemented
186#15689118C2211yescharacteristic, complemented
187C2×#13093946C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
189C2×#135×C47C2211yescharacteristic
190C47×#547C2211yescharacteristic, complemented
191C47×#546C2211yescharacteristic
192C47×#497C2211yescharacteristic, complemented
193C47×#470C2211yescharacteristic, complemented
194C47×#465C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#461C2211yescharacteristic, complemented
197C47×#452C2211yescharacteristic
198C47×#452C2211yescharacteristic, complemented
199C47×#450C2211yescharacteristic, complemented
200C47×#449C2211yescharacteristic, complemented
201C47×#442C2211yescharacteristic, complemented
202C47×#435C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625350C2311yescharacteristic
205C2×#10625352—21no—
206C2×Q8×D47C2311yescharacteristic
207C22×D188C2311yescharacteristic
208C22×C22⋊D47—21no—
209C2×D4×D47C2311yescharacteristic
210C23×Dic47—21no—
211#13094051—42no—
212#13094050—42no—
213#13094049—42no—
214C2×#10625337C2311yescharacteristic
215C2×#10625325C2311yescharacteristic
216C2×#10625335C2311yescharacteristic
217C2×#10625335C2311yescharacteristic
218C2×#10625336C2311yescharacteristic
219C2×#10625336C2311yescharacteristic
220C2×#10625336C2311yescharacteristic
221C2×#10625336C2311yescharacteristic
222SD16×D47—42no—
223C2×D376C2311yescharacteristic
224C2×D376C2311yescharacteristic
225C2×#10625334C2311yescharacteristic
226C2×#10625334C2311yescharacteristic
227C2×#10625334C2311yescharacteristic
228C2×#10625334C2311yescharacteristic
229C2×#10625334C2311yescharacteristic
230C2×#10625329C2311yescharacteristic
231C2×#10625329C2311yescharacteristic
232C2×#10625324C2311yescharacteristic
233C2×C8×D47C2311yescharacteristic
234#13094024C2311yescharacteristic
235#13094022C2311yescharacteristic
236#13094020—21no—
237#13094020C2311yescharacteristic
238#13094020C2311yescharacteristic
239#13094020C2311yescharacteristic
240#13094019—21no—
241#13094019—21no—
242#13094019—21no—
243#13094019—21no—
244#13094019—21no—
245#13094019D411yescharacteristic
246#13094017—21no—
247#13094017—21no—
248#13094017—21no—
249#13094017—21no—
250#13094017D411yescharacteristic
251#13094015—21no—
252#13094015—21no—
253#13094015C2311yescharacteristic
254#13094015C2311yescharacteristic
255#13094015C2311yescharacteristic
256#13094014—21no—
257#13094014D411yescharacteristic
258#13094013C2311yescharacteristic
259#13094013C2311yescharacteristic
260#13094013C2311yescharacteristic
261#13094013C2311yescharacteristic
262#13094012C2311yescharacteristic
263#13094011—21no—
264#13094011C2311yescharacteristic
265#13094010—21no—
266#13094010—21no—
267#13094010—21no—
268#13094010—21no—
269#13094010D411yescharacteristic
270#13094009—21no—
271#13094009—21no—
272#13094009—21no—
273#13094009—21no—
274#13094008—21no—
275#13094008—21no—
276#13094008—21no—
277#13094008—21no—
278#13094008—21no—
279#13094008—21no—
280#13094008—21no—
281#13094008—21no—
282#13094008—21no—
283#13094008D411yescharacteristic
284#13094007—21no—
285#13094007—21no—
286#13094007—21no—
287#13094006—21no—
288#13094006—21no—
289#13094006—21no—
290#13094006—21no—
291#13094005D411yescharacteristic
292#13094004—21no—
293#13094004—21no—
294#13094003—21no—
295#13094003—21no—
296#13094003C2311yescharacteristic
297#13094002—21no—
298#13094002—21no—
299#13094002—21no—
300#13094001—21no—
301#13094001—21no—
302#13094001—21no—
303#13094001D411yescharacteristic
304#13094000C2311yescharacteristic
305#13093999—21no—
306#13093999C2311yescharacteristic
307#13093998—21no—
308#13093998—21no—
309#13093998—21no—
310#13093998—21no—
311#13093998C2311yescharacteristic
312#13093998C2311yescharacteristic
313#13093998C2311yescharacteristic
314#13093997—21no—
315#13093997—21no—
316#13093997—21no—
317#13093996—21no—
318#13093996—21no—
319#13093996—21no—
320#13093996—21no—
321#13093996—21no—
322#13093996—21no—
323#13093996D411yescharacteristic
324#13093995—21no—
325#13093995—21no—
326#13093995—21no—
327#13093995C2311yescharacteristic
328#13093995C2311yescharacteristic
329#13093994—21no—
330#13093993—21no—
331#13093992—21no—
332#13093992—21no—
333#13093992—21no—
334#13093992—21no—
335#13093992—21no—
336Q8×Dic47C2311yescharacteristic
337Q8×Dic47C2311yescharacteristic
338Q8×Dic47C2311yescharacteristic
339Q8×Dic47C2311yescharacteristic
340C4×Dic94C2311yescharacteristic
341#13093989C2311yescharacteristic
342C4×D188C2311yescharacteristic
343C4×D188C2311yescharacteristic
344D4×Dic47—21no—
345D4×Dic47—21no—
346D4×Dic47—21no—
347D4×Dic47—21no—
348D4×Dic47—21no—
349D4×Dic47C2311yescharacteristic
350D4×Dic47C2311yescharacteristic
351D4×Dic47C2311yescharacteristic
352D4×Dic47C2311yescharacteristic
353D4×Dic47C2311yescharacteristic
354#13093986—21no—
355#13093986C2311yescharacteristic
356#13093986C2311yescharacteristic
357C4×C22⋊D47—21no—
358C4×C22⋊D47—21no—
359C4×C22⋊D47—21no—
360C4×C22⋊D47—21no—
361C4×C22⋊D47—21no—
362C4×C22⋊D47—21no—
363C4×C22⋊D47C2311yescharacteristic
364C4×C22⋊D47C2311yescharacteristic
365(C22⋊D47)⋊C4—21no—
366(C22⋊D47)⋊C4—21no—
367(C22⋊D47)⋊C4—21no—
368(C22⋊D47)⋊C4—21no—
369#13093983—21no—
370#13093983C2311yescharacteristic
371#13093982—21no—
372#13093982—21no—
373#13093982—21no—
374#13093982C2311yescharacteristic
375#13093981C2311yescharacteristic
376#13093980—21no—
377C2×C4⋊Dic47—21no—
378C2×C4⋊Dic47—21no—
379C2×C4⋊Dic47C2311yescharacteristic
380C2×C4⋊Dic47C2311yescharacteristic
381C2×C22⋊Dic47—21no—
382C2×(C2×D47)⋊C4—21no—
383C2×(C2×D47)⋊C4—21no—
384C22⋊C4×D47—21no—
385C22⋊C4×D47—21no—
386C22⋊C4×D47—21no—
387C2×C4×Dic47C2311yescharacteristic
388#13093957C2311yescharacteristic
389#13093957C2311yescharacteristic
390#13093957C2311yescharacteristic
391#13093957C2311yescharacteristic
392#13093956C2311yescharacteristic
393#13093956C2311yescharacteristic
394#13093956C2311yescharacteristic
395C4⋊(C47⋊C8)C2311yescharacteristic
396Dic47⋊C8C2311yescharacteristic
397Dic47⋊C8C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399Dic47⋊C8C2311yescharacteristic
400Dic47⋊C8C2311yescharacteristic
401Dic47⋊C8C2311yescharacteristic
402Dic47⋊C8C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404#13093949C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093948C2311yescharacteristic
408#13093948C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093947C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430C22⋊(C47⋊C8)C2311yescharacteristic
431C22⋊(C47⋊C8)C2311yescharacteristic
432(C2×D47)⋊C8C2311yescharacteristic
433(C2×D47)⋊C8C2311yescharacteristic
434#13093934C2311yescharacteristic
435C4×C47⋊C8C2311yescharacteristic
436C8×Dic47C2311yescharacteristic
437C8×Dic47C2311yescharacteristic
438C8×Dic47C2311yescharacteristic
439C2×#41×C47C2311yescharacteristic
440C2×#41×C47C2311yescharacteristic
441C2×#41×C47C2311yescharacteristic
442C22×D4×C47C2311yescharacteristic
443AGL(1,ℤ/8)×C47—42no—
444#135×C47—42no—
445C2×Q16×C47C2311yescharacteristic
446C2×Q16×C47C2311yescharacteristic
447C2×SD16×C47C2311yescharacteristic
448C2×SD16×C47C2311yescharacteristic
449C2×SD16×C47C2311yescharacteristic
450C2×SD16×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×D8×C47C2311yescharacteristic
453C2×D8×C47C2311yescharacteristic
454C2×M16×C47C2311yescharacteristic
455C22×C8×C47C2311yescharacteristic
456C4⋊Q8×C47C2311yescharacteristic
457#124×C47C2311yescharacteristic
458#123×C47—21no—
459#123×C47—21no—
460#123×C47—21no—
461C22⋊Q8×C47C2311yescharacteristic
462C22⋊Q8×C47C2311yescharacteristic
463C22⋊Q8×C47C2311yescharacteristic
464#121×C47—21no—
465#121×C47—21no—
466#121×C47C2311yescharacteristic
467#120×C47—21no—
468C4×D4×C47C2311yescharacteristic
469C4×D4×C47C2311yescharacteristic
470C4×D4×C47C2311yescharacteristic
471C2×C4⋊C4×C47—21no—
472C2×C22⋊C4×C47—21no—
473#106×C47C2311yescharacteristic
474C4⋊C8×C47C2311yescharacteristic
475#103×C47C2311yescharacteristic
476#103×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481C22⋊C8×C47C2311yescharacteristic
482C22⋊C8×C47C2311yescharacteristic
483#97×C47C2311yescharacteristic
484C24×C47—21no—
485C23×D47—21no—
486C23×D47—21no—
487#41×C47—22no—
488#41×C47—41no—
489#41×C47—41no—
490#41×C47—41no—
491#41×C47—41no—
492#41×C47—41no—
493C2×Q8×C47C2411yescharacteristic
494C2×Q8×C47C2411yescharacteristic
495C2×Q8×C47C2411yescharacteristic
496C2×D4×C47—22no—
497C2×D4×C47—21no—
498C2×D4×C47—21no—
499C2×D4×C47—21no—
500C2×D4×C47—21no—
501C2×D4×C47—21no—
502C2×D4×C47—41no—
503C2×D4×C47C2×D411yescharacteristic
504C2×D4×C47C2411yescharacteristic
505C2×D4×C47C2411yescharacteristic
506C2×D4×C47C2411yescharacteristic
507C22×C4×C47—21no—
508C22×C4×C47—21no—
509C22×C4×C47—21no—
510C22×C4×C47—21no—
511C22×C4×C47—21no—
512C22×C4×C47C2411yescharacteristic
513C22×C4×C47C2411yescharacteristic
514C2×C22⋊D47—21no—
515C2×C22⋊D47—21no—
516C2×C22⋊D47—21no—
517C2×C22⋊D47—21no—
518C2×C22⋊D47—21no—
519C2×C22⋊D47—21no—
520C2×C22⋊D47—21no—
521C2×C22⋊D47—21no—
522C2×C22⋊D47—21no—
523C2×C22⋊D47—21no—
524C2×C22⋊D47—21no—
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—82no—
528C2×C22⋊D47C2×D411yescharacteristic
529C2×C22⋊D47C2×D411yescharacteristic
530C22×Dic47—21no—
531C22×Dic47—21no—
532C22×Dic47—21no—
533C22×Dic47—21no—
534C22×Dic47—21no—
535C22×Dic47—21no—
536C22×Dic47—21no—
537C22×Dic47—82no—
538C22×Dic47C2×D411yescharacteristic
539C22×Dic47C2×D411yescharacteristic
540#10625354—41no—
541#10625354—41no—
542Q8×D47—41no—
543Q8×D47—41no—
544#10625352—82no—
545D4×D47—22no—
546D4×D47—41no—
547#10625350—41no—
548#10625350—41no—
549C2×D188—21no—
550C2×D188—21no—
551C2×D188—21no—
552C2×D188—41no—
553C2×D188—41no—
554C2×D188C2411yescharacteristic
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—21no—
564C2×C4×D47C2411yescharacteristic
565C2×Dic94—21no—
566C2×Dic94—21no—
567C2×Dic94C2×D411yescharacteristic
568C2×Dic94C2411yescharacteristic
569Q16×C47—41no—
570Q16×C47—41no—
571SD16×C47—22no—
572SD16×C47—22no—
573SD16×C47—41no—
574SD16×C47—41no—
575SD16×C47—41no—
576D8×C47—22no—
577D8×C47—41no—
578M16×C47—41no—
579C2×C8×C47—41no—
580C2×C8×C47C2411yescharacteristic
581C2×C8×C47C2411yescharacteristic
582C2×C8×C47C2411yescharacteristic
583C2×C8×C47C2411yescharacteristic
584C4⋊C4×C47—21no—
585C4⋊C4×C47—21no—
586C4⋊C4×C47—21no—
587C4⋊C4×C47—21no—
588C4⋊C4×C47—21no—
589C4⋊C4×C47C2×D411yescharacteristic
590C4⋊C4×C47C2411yescharacteristic
591C4⋊C4×C47C2411yescharacteristic
592C22⋊C4×C47—21no—
593C22⋊C4×C47—21no—
594C22⋊C4×C47—21no—
595C22⋊C4×C47—21no—
596C22⋊C4×C47—21no—
597C22⋊C4×C47—21no—
598C22⋊C4×C47—21no—
599C22⋊C4×C47—21no—
600C22⋊C4×C47C2×D411yescharacteristic
601C22⋊C4×C47C2×D411yescharacteristic
602C42×C47C2411yescharacteristic
603C22⋊Dic47—21no—
604C22⋊Dic47—21no—
605C22⋊Dic47—21no—
606C22⋊Dic47—21no—
607C22⋊Dic47—21no—
608C22⋊Dic47—21no—
609C22⋊Dic47—21no—
610C22⋊Dic47—21no—
611C22⋊Dic47—21no—
612C22⋊Dic47—21no—
613C22⋊Dic47C2×D411yescharacteristic
614C22⋊Dic47C2×D411yescharacteristic
615C22⋊Dic47C2×D411yescharacteristic
616C22⋊Dic47C2×D411yescharacteristic
617#10625337—41no—
618#10625336—41no—
619#10625336—41no—
620#10625336—41no—
621#10625336—41no—
622#10625335—22no—
623#10625335—41no—
624#10625334—22no—
625#10625334—22no—
626#10625334—41no—
627#10625334—41no—
628#10625334—41no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4—21no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4—21no—
638(C2×D47)⋊C4—21no—
639(C2×D47)⋊C4—21no—
640(C2×D47)⋊C4—21no—
641(C2×D47)⋊C4—21no—
642(C2×D47)⋊C4—21no—
643(C2×D47)⋊C4—21no—
644(C2×D47)⋊C4—21no—
645(C2×D47)⋊C4—21no—
646(C2×D47)⋊C4—21no—
647(C2×D47)⋊C4—21no—
648(C2×D47)⋊C4—21no—
649(C2×D47)⋊C4C2×D411yescharacteristic
650(C2×D47)⋊C4C2×D411yescharacteristic
651(C2×D47)⋊C4C2×D411yescharacteristic
652(C2×D47)⋊C4C2×D411yescharacteristic
653C4⋊Dic47—21no—
654C4⋊Dic47—21no—
655C4⋊Dic47—21no—
656C4⋊Dic47—21no—
657C4⋊Dic47—21no—
658C4⋊Dic47—21no—
659C4⋊Dic47—21no—
660C4⋊Dic47—21no—
661C4⋊Dic47—21no—
662C4⋊Dic47—21no—
663C4⋊Dic47C2×D411yescharacteristic
664C4⋊Dic47C2×D411yescharacteristic
665C4⋊Dic47C2×D411yescharacteristic
666C4⋊Dic47C2411yescharacteristic
667C4⋊Dic47C2411yescharacteristic
668C4⋊Dic47C2411yescharacteristic
669C4⋊Dic47C2411yescharacteristic
670Dic47⋊C4—21no—
671Dic47⋊C4—21no—
672Dic47⋊C4—21no—
673Dic47⋊C4—21no—
674Dic47⋊C4—21no—
675Dic47⋊C4—21no—
676Dic47⋊C4—21no—
677Dic47⋊C4—21no—
678Dic47⋊C4C2×D411yescharacteristic
679Dic47⋊C4C2×D411yescharacteristic
680Dic47⋊C4C2×D411yescharacteristic
681Dic47⋊C4C2×D411yescharacteristic
682Dic47⋊C4C2×D411yescharacteristic
683Dic47⋊C4C2×D411yescharacteristic
684C4×Dic47—21no—
685C4×Dic47—21no—
686C4×Dic47—21no—
687C4×Dic47—21no—
688C4×Dic47—21no—
689C4×Dic47—21no—
690C4×Dic47C2×D411yescharacteristic
691C4×Dic47C2×D411yescharacteristic
692C4×Dic47C2411yescharacteristic
693C4×Dic47C2411yescharacteristic
694C4×Dic47C2411yescharacteristic
695#10625329—41no—
696#10625329—41no—
697C2×C47⋊C8C2411yescharacteristic
698C2×C47⋊C8C2411yescharacteristic
699C2×C47⋊C8C2411yescharacteristic
700C2×C47⋊C8C2411yescharacteristic
701D376—41no—
702D376—41no—
703#10625325—41no—
704#10625324—41no—
705C8×D47—41no—
706C23×C47—21no—
707C23×C47—21no—
708C23×C47—21no—
709C23×C47—42no—
710C23×C47—42no—
711C23×C47—81no—
712C23×C47C22×D411yescharacteristic
713C23×C47C22×D411yescharacteristic
714C22×D47—21no—
715C22×D47—21no—
716C22×D47—21no—
717C22×D47—42no—
718C22×D47—81no—
719C22×D47—81no—
720C22×D47—81no—
721C22×D47—81no—
722C22×D47—81no—
723C22×D47C22×D411yescharacteristic
724Q8×C47—21no—
725Q8×C47—21no—
726Q8×C47—21no—
727Q8×C47—21no—
728Q8×C47—21no—
729Q8×C47—21no—
730D4×C47—21no—
731D4×C47—21no—
732D4×C47—21no—
733D4×C47—21no—
734D4×C47—21no—
735D4×C47—41no—
736D4×C47—42no—
737D4×C47—42no—
738D4×C47—81no—
739D4×C47—81no—
740D4×C47—81no—
741D4×C47H(5,𝔽2)12yes—
742C2×C4×C47—21no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—21no—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—21no—
749C2×C4×C47—21no—
750C2×C4×C47—21no—
751C2×C4×C47—42no—
752C2×C4×C47—81no—
753C2×C4×C47—81no—
754C2×C4×C47—81no—
755C2×C4×C47—81no—
756C2×C4×C47C22×D411yescharacteristic
757C2×C4×C47C22×D411yescharacteristic
758C2×C4×C47C22×D411yescharacteristic
759C2×C4×C47C22×D411yescharacteristic
760C2×C4×C47C2511yescharacteristic
761C22⋊D47—41no—
762C22⋊D47—41no—
763C22⋊D47—42no—
764C22⋊D47—42no—
765C22⋊D47—81no—
766C22⋊D47—81no—
767C22⋊D47—81no—
768C22⋊D47—81no—
769C22⋊D47—81no—
770C22⋊D47—81no—
771C22⋊D47—81no—
772C22⋊D47—81no—
773C22⋊D47—81no—
774C22⋊D47—81no—
775C22⋊D47—81no—
776C2×Dic47—21no—
777C2×Dic47—21no—
778C2×Dic47—21no—
779C2×Dic47—21no—
780C2×Dic47—21no—
781C2×Dic47—41no—
782C2×Dic47—41no—
783C2×Dic47—42no—
784C2×Dic47—81no—
785C2×Dic47—81no—
786C2×Dic47—81no—
787C2×Dic47—81no—
788C2×Dic47—81no—
789C2×Dic47—81no—
790C2×Dic47C22×D411yescharacteristic
791C2×Dic47C22×D411yescharacteristic
792C2×Dic47C22×D411yescharacteristic
793C2×Dic47C22×D411yescharacteristic
794C2×Dic47C22×D411yescharacteristic
795C2×Dic47C22×D411yescharacteristic
796C2×Dic47C22×D411yescharacteristic
797D188—21no—
798D188—21no—
799D188—21no—
800D188—21no—
801D188—21no—
802D188—21no—
803D188—81no—
804D188—81no—
805D188—81no—
806C4×D47—21no—
807C4×D47—21no—
808C4×D47—81no—
809C4×D47—81no—
810C4×D47—81no—
811C4×D47—81no—
812C4×D47—81no—
813C4×D47—81no—
814C4×D47—81no—
815Dic94—21no—
816Dic94—21no—
817Dic94—41no—
818Dic94—81no—
819Dic94—81no—
820C8×C47—21no—
821C8×C47—21no—
822C8×C47—21no—
823C8×C47—21no—
824C47⋊C8—21no—
825C47⋊C8—21no—
826C47⋊C8—21no—
827C47⋊C8—21no—
828#62027—471nomaximal, Sylow
829C22×C47—21no—
830C22×C47—21no—
831C22×C47—21no—
832C22×C47—21no—
833C22×C47—22no—
834C22×C47—21no—
835C22×C47—21no—
836C22×C47—41no—
837C22×C47—41no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47—41no—
841C22×C47—41no—
842C22×C47—41no—
843C22×C47—41no—
844C22×C47—84no—
845C22×C47C23×D411yescharacteristic
846C2×D47—21no—
847C2×D47—21no—
848C2×D47—21no—
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—41no—
858C2×D47—162no—
859C2×D47—162no—
860C4×C47—21no—
861C4×C47—21no—
862C4×C47—21no—
863C4×C47—21no—
864C4×C47—41no—
865C4×C47—41no—
866C4×C47—41no—
867C4×C47—41no—
868C4×C47—41no—
869C4×C47C2×H(5,𝔽2)11yescharacteristic
870C4×C47#58511yescharacteristic
871Dic47—21no—
872Dic47—21no—
873Dic47—21no—
874Dic47—21no—
875Dic47—21no—
876Dic47—21no—
877Dic47—21no—
878Dic47—41no—
879Dic47—41no—
880Dic47—41no—
881Dic47—41no—
882Dic47—41no—
883#3562—471no—
884#3513—471no—
885#3401—471no—
886#3396—471no—
887#3370—471no—
888#3360—471no—
889#3330—471no—
890#3327—471no—
891#3326—471no—
892#3317—471no—
893#3306—471no—
894#3297—471no—
895#3282—471no—
896#3274—471no—
897#3273—471no—
898#3273—471no—
899#3267D4711yescharacteristic, complemented
900#3265—471no—
901#3260—471no—
902#3257—471no—
903#3256—471no—
904#3225—471no—
905#3220—471no—
906#3212—471no—
907#3122—471no—
908#3120—471no—
909#3105—471no—
910#3045—471no—
911#3042—471no—
912#3036—471no—
913#2993—471no—
914C2×C47—41no—
915C2×C47—42no—
916C2×C47—41no—
917C2×C47—81no—
918C2×C47—81no—
919C2×C47#348811yescharacteristic
920C2×C47#358411yescharacteristic
921C2×C47#358511yescharacteristic
922D47—41no—
923D47—81no—
924D47—81no—
925D47—81no—
926C2×AGL(1,ℤ/8)—471no—
927C2×AGL(1,ℤ/8)—471no—
928C2×AGL(1,ℤ/8)—471no—
929C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
930C2×#135C2×D4711yescharacteristic
931C22×SD16—471no—
932#562—941no—
933#560—941no—
934#559—471no—
935#559—471no—
936#556—471no—
937#554—471no—
938#553—471no—
939#553—941no—
940#553—941no—
941#552—471no—
942#551—941no—
943#551—941no—
944#551—941no—
945#550—471no—
946#548—471no—
947#548—471no—
948#547—471no—
949#547C2×D4711yescharacteristic, complemented
950#546—471no—
951#546—471no—
952#546—471no—
953#546—941no—
954#546C2×D4711yescharacteristic
955D42—471no—
956#542—471no—
957#541—471no—
958#540—471no—
959#540—471no—
960#540—941no—
961#539—941no—
962#539—941no—
963#538—941no—
964#538—941no—
965#538—941no—
966#536—471no—
967#535—471no—
968#532—471no—
969#529—471no—
970#529—471no—
971#529—471no—
972#525—941no—
973C2×#123—941no—
974#520—471no—
975#518—471no—
976C2×C4×D4—471no—
977#497C2×D4711yescharacteristic, complemented
978#496—471no—
979#495—471no—
980#495—471no—
981#495—471no—
982#493—471no—
983#490—471no—
984#489—471no—
985#488—471no—
986#488—471no—
987#488—471no—
988#487—471no—
989#484—471no—
990#484—471no—
991#483—471no—
992#482—471no—
993#482—471no—
994#481—471no—
995#479—471no—
996#479—471no—
997#479—471no—
998#479—471no—
999#478—471no—
1000#478—471no—
1001#478—471no—
1002#478—471no—
1003#476—471no—
1004#474—471no—
1005#470C2×D4711yescharacteristic, complemented
1006#469—471no—
1007#469—471no—
1008#468—471no—
1009#468—471no—
1010#468—471no—
1011#468—471no—
1012#468—471no—
1013#466—471no—
1014#465—471no—
1015#465—471no—
1016#465C2×D4711yescharacteristic, complemented
1017#464—471no—
1018#464—471no—
1019#464—471no—
1020#463—471no—
1021#463—471no—
1022#463—471no—
1023#463—471no—
1024#463—471no—
1025#463—471no—
1026#463—471no—
1027#463—471no—
1028#463—471no—
1029#463—471no—
1030#463—471no—
1031#463—471no—
1032#463C2×D4711yescharacteristic, complemented
1033#462—471no—
1034#461—471no—
1035#461—471no—
1036#461—471no—
1037#461—471no—
1038#461C2×D4711yescharacteristic, complemented
1039#460—471no—
1040#460—471no—
1041#460—471no—
1042#460—471no—
1043#459—471no—
1044#459—471no—
1045#459—471no—
1046#459—471no—
1047#452—471no—
1048#452—471no—
1049#452—471no—
1050#452C2×D4711yescharacteristic
1051#452C2×D4711yescharacteristic, complemented
1052#451—471no—
1053#450C2×D4711yescharacteristic, complemented
1054#449—471no—
1055#449—471no—
1056#449—471no—
1057#449—471no—
1058#449C2×D4711yescharacteristic, complemented
1059#448—471no—
1060#447—471no—
1061#447—471no—
1062#447—471no—
1063#447—471no—
1064#447—471no—
1065#446—471no—
1066C8×Q8—471no—
1067#442—471no—
1068#442C2×D4711yescharacteristic, complemented
1069#441—471no—
1070#440—471no—
1071C4×Q16—471no—
1072C4×SD16—471no—
1073C4×SD16—471no—
1074C4×SD16—471no—
1075C4×D8—471no—
1076C4×D8—471no—
1077C4×D8—471no—
1078C4×D8—471no—
1079#436—471no—
1080#436—471no—
1081#436—471no—
1082#435—471no—
1083#435C2×D4711yescharacteristic, complemented
1084C8×D4—471no—
1085#433—471no—
1086#433—471no—
1087#431—471no—
1088#424—471no—
1089#424—471no—
1090#423—471no—
1091#419—471no—
1092#417—471no—
1093#417—471no—
1094#417—471no—
1095#416—471no—
1096C2×#102—471no—
1097C47#6202711yescharacteristic, complemented, Sylow
1098C2×#41—471no—
1099C2×#41—471no—
1100C2×#41—941no—
1101C2×#41C22×D4711yescharacteristic
1102C2×#41C22×D4711yescharacteristic
1103C2×#41C22×D4711yescharacteristic
1104C22×Q8—471no—
1105C22×D4—471no—
1106C22×D4—471no—
1107C22×D4—941no—
1108C22×D4C22×D4711yescharacteristic
1109C23×C4—941no—
1110AGL(1,ℤ/8)—42no—
1111AGL(1,ℤ/8)—1882no—
1112AGL(1,ℤ/8)—1882no—
1113AGL(1,ℤ/8)—1882no—
1114#135—42no—
1115C2×Q16—471no—
1116C2×Q16C22×D4711yescharacteristic
1117C2×Q16C22×D4711yescharacteristic
1118C2×SD16—471no—
1119C2×SD16—471no—
1120C2×SD16—471no—
1121C2×SD16—471no—
1122C2×SD16—471no—
1123C2×SD16—471no—
1124C2×SD16—471no—
1125C2×SD16—1882no—
1126C2×SD16C22×D4711yescharacteristic
1127C2×SD16C22×D4711yescharacteristic
1128C2×SD16C22×D4711yescharacteristic
1129C2×SD16C22×D4711yescharacteristic
1130C2×SD16C22×D4711yescharacteristic
1131C2×D8—471no—
1132C2×D8—471no—
1133C2×D8—471no—
1134C2×D8—471no—
1135C2×D8—471no—
1136C2×D8—471no—
1137C2×D8—471no—
1138C2×D8C22×D4711yescharacteristic
1139C2×D8C22×D4711yescharacteristic
1140C2×M16—471no—
1141C2×M16—471no—
1142C2×M16—471no—
1143C2×M16C22×D4711yescharacteristic
1144C22×C8—471no—
1145C22×C8C22×D4711yescharacteristic
1146C4⋊Q8—471no—
1147C4⋊Q8—471no—
1148C4⋊Q8C22×D4711yescharacteristic
1149#127—471no—
1150#127—471no—
1151#127—471no—
1152#127—941no—
1153#126—471no—
1154#126—471no—
1155#126—941no—
1156#126—941no—
1157#126—941no—
1158#126—941no—
1159#126—941no—
1160#126—941no—
1161#126—941no—
1162#126—941no—
1163#126—941no—
1164#125—471no—
1165#125—471no—
1166#125—471no—
1167#125—471no—
1168#125—941no—
1169#125—941no—
1170#125—941no—
1171#124—471no—
1172#124—471no—
1173#124—471no—
1174#124—471no—
1175#124—471no—
1176#124—471no—
1177#124—471no—
1178#124—941no—
1179#124—941no—
1180#124—941no—
1181#124—941no—
1182#124—941no—
1183#124C22×D4711yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—471no—
1188#123—471no—
1189#123—941no—
1190#123—941no—
1191#123—941no—
1192#123—941no—
1193#123—941no—
1194#123—941no—
1195#123—941no—
1196#123—941no—
1197#123—941no—
1198#123—941no—
1199#123—941no—
1200#123—941no—
1201#123—941no—
1202#123—941no—
1203#123—941no—
1204#123—941no—
1205#123—941no—
1206#123—941no—
1207#123—941no—
1208#123—941no—
1209C22⋊Q8—471no—
1210C22⋊Q8—471no—
1211C22⋊Q8—471no—
1212C22⋊Q8—941no—
1213C22⋊Q8—941no—
1214C22⋊Q8—941no—
1215C22⋊Q8—941no—
1216C22⋊Q8—941no—
1217C22⋊Q8—941no—
1218C22⋊Q8—941no—
1219C22⋊Q8—941no—
1220C22⋊Q8—941no—
1221C22⋊Q8—941no—
1222C22⋊Q8C22×D4711yescharacteristic
1223C22⋊Q8C22×D4711yescharacteristic
1224C22⋊Q8C22×D4711yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—471no—
1228#121—471no—
1229#121—471no—
1230#121—471no—
1231#121—471no—
1232#121—471no—
1233#121—471no—
1234#121—941no—
1235#121—941no—
1236#121—941no—
1237#121—941no—
1238#121—941no—
1239#121—941no—
1240#121—941no—
1241#121—941no—
1242#121—941no—
1243#121—941no—
1244#121—941no—
1245#121—941no—
1246#121—941no—
1247#121—941no—
1248#121—941no—
1249#121—941no—
1250#121—941no—
1251#121C22×D4711yescharacteristic
1252#120—21no—
1253#120—941no—
1254#120—941no—
1255#120—941no—
1256#120—941no—
1257#120—941no—
1258#120—941no—
1259#120—941no—
1260C4×Q8—471no—
1261C4×Q8—471no—
1262C4×Q8—471no—
1263C4×Q8—471no—
1264C4×Q8—471no—
1265C4×Q8—471no—
1266C4×D4—471no—
1267C4×D4—471no—
1268C4×D4—471no—
1269C4×D4—471no—
1270C4×D4—471no—
1271C4×D4—471no—
1272C4×D4—471no—
1273C4×D4—471no—
1274C4×D4—471no—
1275C4×D4—471no—
1276C4×D4—471no—
1277C4×D4—941no—
1278C4×D4—941no—
1279C4×D4—941no—
1280C4×D4—941no—
1281C4×D4—941no—
1282C4×D4—941no—
1283C4×D4—941no—
1284C4×D4—941no—
1285C4×D4—941no—
1286C4×D4—941no—
1287C4×D4—941no—
1288C4×D4—941no—
1289C4×D4—941no—
1290C4×D4—941no—
1291C4×D4—941no—
1292C4×D4—941no—
1293C4×D4C22×D4711yescharacteristic
1294C4×D4C22×D4711yescharacteristic
1295C4×D4C22×D4711yescharacteristic
1296#117—471no—
1297#117—471no—
1298#117—471no—
1299#117—941no—
1300#117—941no—
1301#117—941no—
1302#117—941no—
1303#117—941no—
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—471no—
1306C2×C4⋊C4—471no—
1307C2×C4⋊C4—941no—
1308C2×C4⋊C4—941no—
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—941no—
1311C2×C22⋊C4—941no—
1312C2×C22⋊C4—941no—
1313C2×C22⋊C4—941no—
1314C2×C22⋊C4—941no—
1315C2×C22⋊C4—941no—
1316C2×C42—471no—
1317#107—471no—
1318#107—471no—
1319#107—471no—
1320#107—471no—
1321#106—471no—
1322#106—471no—
1323#106—471no—
1324#106C22×D4711yescharacteristic
1325C4⋊C8—471no—
1326C4⋊C8—471no—
1327C4⋊C8—471no—
1328C4⋊C8—471no—
1329C4⋊C8—471no—
1330C4⋊C8—471no—
1331C4⋊C8—471no—
1332C4⋊C8—471no—
1333C4⋊C8—471no—
1334C4⋊C8C22×D4711yescharacteristic
1335#103—471no—
1336#103—471no—
1337#103—471no—
1338#103—471no—
1339#103—471no—
1340#103—471no—
1341#103—471no—
1342#103—471no—
1343#103—471no—
1344#103—471no—
1345#103—471no—
1346#103C22×D4711yescharacteristic
1347#103C22×D4711yescharacteristic
1348#103C22×D4711yescharacteristic
1349#102—471no—
1350#102—471no—
1351#102—471no—
1352#102—471no—
1353#102—471no—
1354#102—471no—
1355#102—471no—
1356#102—471no—
1357#102—471no—
1358#102—471no—
1359#102—471no—
1360#102—471no—
1361#102—471no—
1362#102—471no—
1363#102—471no—
1364#102C22×D4711yescharacteristic
1365#102C22×D4711yescharacteristic
1366#102C22×D4711yescharacteristic
1367C22⋊C8—471no—
1368C22⋊C8—471no—
1369C22⋊C8—471no—
1370C22⋊C8—471no—
1371C22⋊C8C22×D4711yescharacteristic
1372C22⋊C8C22×D4711yescharacteristic
1373#97—471no—
1374#97C22×D4711yescharacteristic
1375C4×C8—471no—
1376C4×C8—471no—
1377C4×C8—471no—
1378C4×C8—471no—
1379C24—21no—
1380C24—941no—
1381C24—941no—
1382#41—22no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—3762no—
1389#41—1881no—
1390#41—1881no—
1391#41—1881no—
1392#41—1881no—
1393C2×Q8—471no—
1394C2×Q8—471no—
1395C2×Q8—941no—
1396C2×Q8—941no—
1397C2×Q8—1881no—
1398C2×Q8—1881no—
1399C2×Q8C23×D4711yescharacteristic
1400C2×Q8C23×D4711yescharacteristic
1401C2×Q8C23×D4711yescharacteristic
1402C2×D4—22no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—41no—
1409C2×D4—471no—
1410C2×D4—471no—
1411C2×D4—471no—
1412C2×D4—471no—
1413C2×D4—471no—
1414C2×D4—941no—
1415C2×D4—941no—
1416C2×D4—941no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—941no—
1423C2×D4—942no—
1424C2×D4—941no—
1425C2×D4—941no—
1426C2×D4—941no—
1427C2×D4—941no—
1428C2×D4—941no—
1429C2×D4—941no—
1430C2×D4—941no—
1431C2×D4—3762no—
1432C2×D4—1881no—
1433C2×D4—1881no—
1434C2×D4—1881no—
1435C2×D4D4×D4711yescharacteristic
1436C2×D4C23×D4711yescharacteristic
1437C2×D4C23×D4711yescharacteristic
1438C2×D4C23×D4711yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—471no—
1445C22×C4—471no—
1446C22×C4—471no—
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—941no—
1458C22×C4—941no—
1459C22×C4—941no—
1460C22×C4—941no—
1461C22×C4—3762no—
1462C22×C4C23×D4711yescharacteristic
1463C22×C4C23×D4711yescharacteristic
1464Q16—41no—
1465Q16—41no—
1466Q16—1881no—
1467SD16—22no—
1468SD16—22no—
1469SD16—41no—
1470SD16—41no—
1471SD16—41no—
1472SD16—942no—
1473SD16—1881no—
1474SD16—1881no—
1475SD16—1881no—
1476SD16—1881no—
1477SD16—1881no—
1478SD16—1881no—
1479D8—22no—
1480D8—41no—
1481D8—942no—
1482D8—942no—
1483D8—1881no—
1484D8—1881no—
1485D8—1881no—
1486D8—1881no—
1487D8—1881no—
1488M16—41no—
1489M16—1881no—
1490M16—1881no—
1491M16—1881no—
1492C2×C8—41no—
1493C2×C8—471no—
1494C2×C8—471no—
1495C2×C8—471no—
1496C2×C8—471no—
1497C2×C8—1881no—
1498C2×C8C23×D4711yescharacteristic
1499C2×C8C23×D4711yescharacteristic
1500C2×C8C23×D4711yescharacteristic
1501C2×C8C23×D4711yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—471no—
1508C4⋊C4—471no—
1509C4⋊C4—471no—
1510C4⋊C4—471no—
1511C4⋊C4—471no—
1512C4⋊C4—471no—
1513C4⋊C4—471no—
1514C4⋊C4—471no—
1515C4⋊C4—471no—
1516C4⋊C4—471no—
1517C4⋊C4—471no—
1518C4⋊C4—471no—
1519C4⋊C4—471no—
1520C4⋊C4—941no—
1521C4⋊C4—941no—
1522C4⋊C4—941no—
1523C4⋊C4—941no—
1524C4⋊C4—941no—
1525C4⋊C4—941no—
1526C4⋊C4—941no—
1527C4⋊C4—941no—
1528C4⋊C4—941no—
1529C4⋊C4—941no—
1530C4⋊C4—941no—
1531C4⋊C4—941no—
1532C4⋊C4—941no—
1533C4⋊C4—941no—
1534C4⋊C4—941no—
1535C4⋊C4—941no—
1536C4⋊C4—941no—
1537C4⋊C4—941no—
1538C4⋊C4D4×D4711yescharacteristic
1539C4⋊C4C23×D4711yescharacteristic
1540C4⋊C4C23×D4711yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—471no—
1550C22⋊C4—471no—
1551C22⋊C4—471no—
1552C22⋊C4—471no—
1553C22⋊C4—471no—
1554C22⋊C4—471no—
1555C22⋊C4—471no—
1556C22⋊C4—471no—
1557C22⋊C4—941no—
1558C22⋊C4—941no—
1559C22⋊C4—941no—
1560C22⋊C4—941no—
1561C22⋊C4—941no—
1562C22⋊C4—941no—
1563C22⋊C4—941no—
1564C22⋊C4—941no—
1565C22⋊C4—941no—
1566C22⋊C4—941no—
1567C22⋊C4—941no—
1568C22⋊C4—941no—
1569C22⋊C4—941no—
1570C22⋊C4—941no—
1571C22⋊C4—941no—
1572C22⋊C4—941no—
1573C22⋊C4—941no—
1574C22⋊C4—941no—
1575C22⋊C4—941no—
1576C22⋊C4—941no—
1577C22⋊C4—941no—
1578C22⋊C4—941no—
1579C22⋊C4—941no—
1580C22⋊C4—941no—
1581C22⋊C4—941no—
1582C22⋊C4—941no—
1583C22⋊C4—941no—
1584C22⋊C4—941no—
1585C22⋊C4—941no—
1586C22⋊C4—941no—
1587C22⋊C4D4×D4711yescharacteristic
1588C22⋊C4D4×D4711yescharacteristic
1589C42—471no—
1590C42—471no—
1591C42—471no—
1592C42—471no—
1593C42—471no—
1594C42—941no—
1595C42—941no—
1596C42—941no—
1597C42—941no—
1598C42—941no—
1599C42—941no—
1600C42C23×D4711yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—42no—
1605C23—42no—
1606C23—81no—
1607C23—471no—
1608C23—941no—
1609C23—941no—
1610C23—941no—
1611C23—3761no—
1612C23—3761no—
1613C23—3761no—
1614C23—3761no—
1615C23—3761no—
1616C23—1882no—
1617C23C2×D4×D4711yescharacteristic
1618C23C2×D4×D4711yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—941no—
1626Q8—941no—
1627Q8—3761no—
1628Q8—3761no—
1629Q8—1881no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—41no—
1636D4—42no—
1637D4—42no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—941no—
1642D4—941no—
1643D4—941no—
1644D4—941no—
1645D4—941no—
1646D4—941no—
1647D4—3761no—
1648D4—3761no—
1649D4—3761no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—3761no—
1654D4—3761no—
1655D4—3761no—
1656D4—3761no—
1657D4—3761no—
1658D4—3761no—
1659D4—3761no—
1660D4—3761no—
1661D4—1881no—
1662D4—1881no—
1663D4—1882no—
1664D4—1882no—
1665D4#1309406912yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—42no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—471no—
1681C2×C4—471no—
1682C2×C4—471no—
1683C2×C4—471no—
1684C2×C4—471no—
1685C2×C4—471no—
1686C2×C4—471no—
1687C2×C4—941no—
1688C2×C4—941no—
1689C2×C4—941no—
1690C2×C4—941no—
1691C2×C4—941no—
1692C2×C4—941no—
1693C2×C4—941no—
1694C2×C4—3761no—
1695C2×C4—3761no—
1696C2×C4—3761no—
1697C2×C4—3761no—
1698C2×C4—3761no—
1699C2×C4—3761no—
1700C2×C4—3761no—
1701C2×C4—3761no—
1702C2×C4—3761no—
1703C2×C4—3761no—
1704C2×C4—3761no—
1705C2×C4—3761no—
1706C2×C4—3761no—
1707C2×C4—1881no—
1708C2×C4—1881no—
1709C2×C4—1882no—
1710C2×C4C2×D4×D4711yescharacteristic
1711C2×C4C2×D4×D4711yescharacteristic
1712C2×C4C2×D4×D4711yescharacteristic
1713C2×C4C2×D4×D4711yescharacteristic
1714C2×C4C24×D4711yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—941no—
1720C8—941no—
1721C8—941no—
1722C8—941no—
1723C22—21no—
1724C22—21no—
1725C22—22no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—84no—
1739C22—941no—
1740C22—941no—
1741C22—941no—
1742C22—1881no—
1743C22—1881no—
1744C22—1881no—
1745C22—1881no—
1746C22—1881no—
1747C22—1881no—
1748C22—1881no—
1749C22—1881no—
1750C22—1881no—
1751C22—7522no—
1752C22—7522no—
1753C22C22×D4×D4711yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—941no—
1764C4—941no—
1765C4—941no—
1766C4—941no—
1767C4—941no—
1768C4—941no—
1769C4—941no—
1770C4—1881no—
1771C4—1881no—
1772C4—1881no—
1773C4—1881no—
1774C4—1881no—
1775C4C2×#1309406911yescharacteristic
1776C4#1568995811yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—42no—
1780C2—81no—
1781C2—81no—
1782C2—3761no—
1783C2—3761no—
1784C2—3761no—
1785C2—1881no—
1786C2#2025704811yescharacteristic
1787C2#2025816011yescharacteristic
1788C2#2025816511yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3267C2
socleC22×C47C23×D4
hypercenter#3267D47
hypocenterC47#62027
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. #20257981C2semidirect
2. #20257329C2semidirect
3. #20256453C2semidirect
4. #20256395C2semidirect
5. #20256146C2semidirect
6. #20256041C2semidirect
7. #20255693C2semidirect
8. #20255651C2semidirect
9. #20255634C2semidirect
10. #20255507C2semidirect
11. #20255351C2semidirect
12. #20255244C2semidirect
13. #20255089C2semidirect
14. #20255002C2semidirect
15. #20254995C2semidirect
16. #20254992C2semidirect
17. #20254881C2semidirect
18. #20254828C2semidirect
19. #20254804C2semidirect
20. #20254790C2semidirect
21. #20254492C2semidirect
22. #20254436C2semidirect
23. #20254367C2semidirect
24. #20253630C2semidirect
25. #20253595C2semidirect
26. #20253436C2semidirect
27. #20252925C2semidirect
28. #20252895C2semidirect
29. #20252849C2semidirect
30. #20252530C2semidirect
31. C47×#3267C2semidirect
35. C2×SD16×D47C22semidirect
38. #15689856C22semidirect
39. #15689855C22semidirect
40. #15689847C22semidirect
41. #15689830C22semidirect
45. #15689815C22semidirect
51. #15689780C22semidirect
53. #15689769C22semidirect
54. #15689764C22semidirect
57. D4×C22⋊D47C22semidirect
58. #15689742C22semidirect
59. #15689733C22semidirect
62. #15689724C22semidirect
68. #15689698C22semidirect
69. #15689687C22semidirect
70. #15689669C22semidirect
71. #15689659C22semidirect
72. #15689659C22semidirect
77. #15689595C22semidirect
78. C2×D4×Dic47C22semidirect
80. #15689508C22semidirect
81. #15689505C22semidirect
82. #15689504C22semidirect
84. #15689486C22semidirect
85. #15689483C22semidirect
86. #15689479C22semidirect
87. #15689479C22semidirect
88. #15689476C22semidirect
89. #15689473C22semidirect
90. #15689456C22semidirect
91. #15689456C22semidirect
92. #15689454C22semidirect
93. #15689449C22semidirect
94. #15689446C22semidirect
95. #15689442C22semidirect
96. #15689433C22semidirect
97. #15689428C22semidirect
98. #15689428C22semidirect
99. #15689428C22semidirect
100. #15689425C22semidirect
101. #15689425C22semidirect
102. #15689422C22semidirect
103. #15689422C22semidirect
104. #15689414C22semidirect
105. #15689403C22semidirect
107. #15689373C22semidirect
108. #15689372C22semidirect
109. #15689371C22semidirect
110. #15689371C22semidirect
111. #15689371C22semidirect
112. #15689367C22semidirect
114. #15689352C22semidirect
115. #15689349C22semidirect
116. #15689347C22semidirect
117. #15689347C22semidirect
118. #15689347C22semidirect
119. #15689341C22semidirect
120. #15689341C22semidirect
124. #15689340C22semidirect
125. #15689340C22semidirect
126. #15689339C22semidirect
128. #15689336C22semidirect
129. #15689336C22semidirect
130. #15689335C22semidirect
131. #15689331C22semidirect
132. #15689327C22semidirect
133. #15689326C22semidirect
134. #15689326C22semidirect
135. #15689325C22semidirect
136. #15689322C22semidirect
137. #15689321C22semidirect
138. #15689321C22semidirect
139. #15689321C22semidirect
140. #15689317C22semidirect
143. #15689316C22semidirect
145. #15689284C22semidirect
146. #15689283C22semidirect
147. #15689277C22semidirect
149. #15689268C22semidirect
150. #15689268C22semidirect
152. #15689260C22semidirect
153. #15689259C22semidirect
156. #15689256C22semidirect
157. #15689255C22semidirect
158. #15689251C22semidirect
159. #15689247C22semidirect
160. #15689236C22semidirect
161. #15689230C22semidirect
162. #15689220C22semidirect
163. #15689215C22semidirect
164. SD16×Dic47C22semidirect
165. SD16×Dic47C22semidirect
166. SD16×Dic47C22semidirect
168. C4×#10625334C22semidirect
170. #15689203C22semidirect
171. #15689201C22semidirect
172. #15689199C22semidirect
173. #15689198C22semidirect
174. #15689197C22semidirect
175. C8×C22⋊D47C22semidirect
176. #15689185C22semidirect
177. #15689181C22semidirect
178. #15689173C22semidirect
179. #15689149C22semidirect
180. #15689148C22semidirect
181. #15689146C22semidirect
182. #15689130C22semidirect
183. #15689125C22semidirect
184. #15689124C22semidirect
185. #15689124C22semidirect
186. #15689118C22semidirect
187. C2×#13093946C22semidirect
188. C2×AGL(1,ℤ/8)×C47C22semidirect
190. C47×#547C22semidirect
192. C47×#497C22semidirect
193. C47×#470C22semidirect
194. C47×#465C22semidirect
195. C47×#463C22semidirect
196. C47×#461C22semidirect
198. C47×#452C22semidirect
199. C47×#450C22semidirect
200. C47×#449C22semidirect
201. C47×#442C22semidirect
202. C47×#435C22semidirect
899. #3267D47semidirect
929. C2×AGL(1,ℤ/8)C2×D47semidirect
949. #547C2×D47semidirect
977. #497C2×D47semidirect
1005. #470C2×D47semidirect
1016. #465C2×D47semidirect
1032. #463C2×D47semidirect
1038. #461C2×D47semidirect
1051. #452C2×D47semidirect
1053. #450C2×D47semidirect
1058. #449C2×D47semidirect
1068. #442C2×D47semidirect
1083. #435C2×D47semidirect
1097. C47#62027semidirect

Maximal subgroups

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

subgroupindex
#202579812
#202573292
#202564532
#202563952
#202561462
#202560412
#202556932
#202556512
#202556342
#202555072
#202553512
#202552442
#202550892
#202550022
#202549952
#202549922
#202548812
#202548282
#202548042
#202547902
#202544922
#202544362
#202543672
#202536302
#202535952
#202534362
#202529252
#202528952
#202528492
#202525302
C47×#32672
#6202747