Finite Group Databasebeta

← #27089357

Subgroups — #27089357

Order 12032.

1932 conjugacy classes of subgroups.

The subgroup lattice has 1804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257260C211yesmaximal, characteristic, complemented
2#20256803C211yesmaximal, characteristic, complemented
3#20254826C211yesmaximal, characteristic, complemented
4#20254825C211yesmaximal, characteristic, complemented
5#20254823C211yesmaximal, characteristic, complemented
6#20254803C211yesmaximal, characteristic, complemented
7#20254801C211yesmaximal, characteristic, complemented
8#20254795C211yesmaximal, characteristic, complemented
9#20254793C211yesmaximal, characteristic, complemented
10#20254767C211yesmaximal, characteristic, complemented
11#20254765C211yesmaximal, characteristic, complemented
12#20254749C211yesmaximal, characteristic, complemented
13#20254743C211yesmaximal, characteristic, complemented
14#20254713C211yesmaximal, characteristic, complemented
15#20254707C211yesmaximal, characteristic, complemented
16#20254696C211yesmaximal, characteristic, complemented
17#20254694C211yesmaximal, characteristic, complemented
18#20253218C211yesmaximal, characteristic, complemented
19#20253216C211yesmaximal, characteristic, complemented
20#20253183C211yesmaximal, characteristic, complemented
21#20253173C211yesmaximal, characteristic, complemented
22#20253067C211yesmaximal, characteristic, complemented
23#20253065C211yesmaximal, characteristic, complemented
24#20253034C211yesmaximal, characteristic, complemented
25#20253031C211yesmaximal, characteristic, complemented
26#20252886C211yesmaximal, characteristic, complemented
27#20252886C211yesmaximal, characteristic, complemented
28#20252863C211yesmaximal, characteristic, complemented
29#459×D47C211yesmaximal, characteristic, complemented
30#20251955C211yesmaximal, characteristic, complemented
31C47×#3259C211yesmaximal, characteristic, complemented
32C2×#13094048C2211yescharacteristic
33C2×#13094048C2211yescharacteristic
34C2×D8×D47C2211yescharacteristic
35C2×D8×D47C2211yescharacteristic
36C2×#13094032C2211yescharacteristic
37C2×#13094030C2211yescharacteristic
38#15689857—21no—
39#15689857—21no—
40#15689791—21no—
41#15689791—21no—
42#15689765—21no—
43#15689765—21no—
44#15689762—21no—
45#15689762—21no—
46#15689753C2211yescharacteristic
47#15689744C2211yescharacteristic, complemented
48#15689741—21no—
49#15689738C2211yescharacteristic, complemented
50#15689729C2211yescharacteristic, complemented
51#15689728C2211yescharacteristic, complemented
52#15689727C2211yescharacteristic, complemented
53#15689724C2211yescharacteristic, complemented
54#15689723—21no—
55#15689709—21no—
56#15689705—21no—
57#15689702C2211yescharacteristic
58#15689689C2211yescharacteristic
59#15689689C2211yescharacteristic
60#15689689C2211yescharacteristic
61#15689686C2211yescharacteristic
62#15689679C2211yescharacteristic
63#15689671C2211yescharacteristic, complemented
64#15689670C2211yescharacteristic, complemented
65#15689670C2211yescharacteristic, complemented
66#15689668—21no—
67#15689668C2211yescharacteristic, complemented
68#15689668C2211yescharacteristic, complemented
69#15689668C2211yescharacteristic, complemented
70#127×D47C2211yescharacteristic
71#15689658C2211yescharacteristic, complemented
72#15689654C2211yescharacteristic, complemented
73#15689650—21no—
74#15689633—21no—
75#15689631—21no—
76#15689595C2211yescharacteristic
77#15689595C2211yescharacteristic
78#15689591C2211yescharacteristic
79C4×#10625352C2211yescharacteristic
80C4×D4×D47C2211yescharacteristic
81#15689431C2211yescharacteristic, complemented
82#15689427C2211yescharacteristic, complemented
83#15689426C2211yescharacteristic, complemented
84#15689425C2211yescharacteristic, complemented
85#15689424C2211yescharacteristic, complemented
86#15689423C2211yescharacteristic, complemented
87#15689423C2211yescharacteristic, complemented
88#15689422C2211yescharacteristic, complemented
89#15689421C2211yescharacteristic, complemented
90#15689420C2211yescharacteristic, complemented
91#15689420C2211yescharacteristic, complemented
92#15689420C2211yescharacteristic, complemented
93#15689417C2211yescharacteristic, complemented
94#15689414C2211yescharacteristic, complemented
95#15689413C2211yescharacteristic, complemented
96#15689412C2211yescharacteristic, complemented
97#15689412C2211yescharacteristic, complemented
98#15689411C2211yescharacteristic, complemented
99#15689411C2211yescharacteristic, complemented
100#15689411C2211yescharacteristic, complemented
101#15689407C2211yescharacteristic, complemented
102#15689404C2211yescharacteristic, complemented
103#15689403C2211yescharacteristic, complemented
104#15689402C2211yescharacteristic, complemented
105#15689402C2211yescharacteristic, complemented
106#15689401C2211yescharacteristic, complemented
107#15689401C2211yescharacteristic, complemented
108#15689401C2211yescharacteristic, complemented
109#15689377C2211yescharacteristic, complemented
110#15689376C2211yescharacteristic, complemented
111#15689375C2211yescharacteristic, complemented
112#15689375C2211yescharacteristic, complemented
113#15689375C2211yescharacteristic, complemented
114#15689374C2211yescharacteristic, complemented
115#15689374C2211yescharacteristic, complemented
116#15689374C2211yescharacteristic, complemented
117#15689373C2211yescharacteristic, complemented
118#15689373C2211yescharacteristic, complemented
119#15689370C2211yescharacteristic, complemented
120#15689369C2211yescharacteristic, complemented
121#15689368C2211yescharacteristic, complemented
122#15689367C2211yescharacteristic, complemented
123#15689360C2211yescharacteristic, complemented
124#15689359C2211yescharacteristic, complemented
125#15689358C2211yescharacteristic, complemented
126#15689358C2211yescharacteristic, complemented
127#15689358C2211yescharacteristic, complemented
128#15689357C2211yescharacteristic, complemented
129#15689357C2211yescharacteristic, complemented
130#15689357C2211yescharacteristic, complemented
131#15689356C2211yescharacteristic, complemented
132#15689356C2211yescharacteristic, complemented
133#15689353C2211yescharacteristic, complemented
134#15689352C2211yescharacteristic, complemented
135#15689351C2211yescharacteristic, complemented
136#15689350C2211yescharacteristic, complemented
137#15689339C2211yescharacteristic, complemented
138#15689339C2211yescharacteristic, complemented
139#15689338C2211yescharacteristic, complemented
140#15689338C2211yescharacteristic, complemented
141#15689337C2211yescharacteristic, complemented
142#15689337C2211yescharacteristic, complemented
143#15689336C2211yescharacteristic, complemented
144#15689336C2211yescharacteristic, complemented
145#15689324C2211yescharacteristic, complemented
146#15689322C2211yescharacteristic, complemented
147#15689322C2211yescharacteristic, complemented
148#15689320C2211yescharacteristic, complemented
149#15689319C2211yescharacteristic
150#15689318C2211yescharacteristic
151#15689318C2211yescharacteristic, complemented
152#15689317C2211yescharacteristic
153#15689317C2211yescharacteristic
154#15689317C2211yescharacteristic, complemented
155#15689317C2211yescharacteristic, complemented
156#15689316C2211yescharacteristic
157#15689316C2211yescharacteristic
158#15689316C2211yescharacteristic, complemented
159#15689316C2211yescharacteristic, complemented
160#15689316C2211yescharacteristic, complemented
161#15689316C2211yescharacteristic, complemented
162#15689315C2211yescharacteristic
163#15689315C2211yescharacteristic, complemented
164#15689315C2211yescharacteristic, complemented
165#15689164C2211yescharacteristic
166#15689162C2211yescharacteristic
167#15689160C2211yescharacteristic
168#15689158C2211yescharacteristic
169#15689150C2211yescharacteristic, complemented
170#15689148C2211yescharacteristic
171#15689148C2211yescharacteristic
172#15689148C2211yescharacteristic, complemented
173#15689148C2211yescharacteristic, complemented
174#15689146C2211yescharacteristic, complemented
175#15689145C2211yescharacteristic
176#15689145C2211yescharacteristic, complemented
177C2×Dic47⋊C8C2211yescharacteristic, complemented
178C4⋊C8×D47C2211yescharacteristic
179C4⋊C8×D47C2211yescharacteristic, complemented
180#15689126C2211yescharacteristic
181#15689126C2211yescharacteristic
182#15689126C2211yescharacteristic
183#15689126C2211yescharacteristic
184#15689116C2211yescharacteristic
185#15689116C2211yescharacteristic
186#102×D47C2211yescharacteristic
187#102×D47C2211yescharacteristic
188C47×#540C2211yescharacteristic, complemented
189C47×#540C2211yescharacteristic, complemented
190C47×#478C2211yescharacteristic, complemented
191C47×#478C2211yescharacteristic, complemented
192C47×#478C2211yescharacteristic, complemented
193C47×#478C2211yescharacteristic, complemented
194C47×#469C2211yescharacteristic, complemented
195C47×#469C2211yescharacteristic, complemented
196C47×#466C2211yescharacteristic, complemented
197C47×#466C2211yescharacteristic, complemented
198C47×#459C2211yescharacteristic
199C47×#459C2211yescharacteristic, complemented
200C47×#459C2211yescharacteristic, complemented
201C47×#459C2211yescharacteristic, complemented
202C47×#424C2211yescharacteristic, complemented
203C2×#10625350—21no—
204C2×#10625350—21no—
205C2×#10625350C2311yescharacteristic
206C2×#10625352—21no—
207C2×#10625352—21no—
208C2×#10625352—21no—
209C2×#10625352—21no—
210C2×#10625352C2311yescharacteristic
211C2×D4×D47—21no—
212C2×D4×D47—21no—
213C2×D4×D47C2311yescharacteristic
214C2×D4×D47C2311yescharacteristic
215C2×D4×D47C2311yescharacteristic
216C22×C4×D47—21no—
217#13094048—42no—
218#13094048—42no—
219C2×#10625325C2311yescharacteristic
220C2×#10625325C2311yescharacteristic
221C2×#10625335C2311yescharacteristic
222C2×#10625335C2311yescharacteristic
223C2×D376C2311yescharacteristic
224C2×D376C2311yescharacteristic
225C2×#10625334C2311yescharacteristic
226C2×#10625334C2311yescharacteristic
227C2×#10625334C2311yescharacteristic
228C2×#10625334C2311yescharacteristic
229C2×#10625334C2311yescharacteristic
230C2×#10625334C2311yescharacteristic
231D8×D47—42no—
232D8×D47—42no—
233#13094032—42no—
234#13094030—42no—
235C2×#10625329C2311yescharacteristic
236C2×#10625324C2311yescharacteristic
237C2×#10625324C2311yescharacteristic
238C2×#10625324C2311yescharacteristic
239C2×#10625324C2311yescharacteristic
240C22×C47⋊C8C2311yescharacteristic
241C2×C8×D47C2311yescharacteristic
242C2×C8×D47C2311yescharacteristic
243C2×C8×D47C2311yescharacteristic
244C2×C8×D47C2311yescharacteristic
245#13094024C2311yescharacteristic
246#13094023—21no—
247#13094023C2311yescharacteristic
248#13094023C2311yescharacteristic
249#13094023C2311yescharacteristic
250#13094021C2311yescharacteristic
251#13094020—21no—
252#13094020—21no—
253#13094020—21no—
254#13094020—21no—
255#13094020—21no—
256#13094020C2311yescharacteristic
257#13094020C2311yescharacteristic
258#13094020C2311yescharacteristic
259#13094019—21no—
260#13094019—21no—
261#13094017—21no—
262#13094017—21no—
263#13094016C2311yescharacteristic
264#13094015C2311yescharacteristic
265#13094014—21no—
266#13094012C2311yescharacteristic
267#13094011—21no—
268#13094011C2311yescharacteristic
269#13094010—21no—
270#13094010—21no—
271#13094010—21no—
272#13094010—21no—
273#13094010—21no—
274#13094010—21no—
275#13094010—21no—
276#13094010—21no—
277#13094010—21no—
278#13094010—21no—
279#13094009—21no—
280#13094009—21no—
281#13094009—21no—
282#13094009—21no—
283#13094009—21no—
284#13094007—21no—
285#13094007—21no—
286#13094006—21no—
287#13094006—21no—
288#13094005—21no—
289#13094005—21no—
290#13094005—21no—
291#13094004—21no—
292#13094004C2311yescharacteristic
293#13094003—21no—
294#13094003C2311yescharacteristic
295#13094002—21no—
296#13094002—21no—
297#13094002—21no—
298#13094002—21no—
299#13094001—21no—
300#13093999—21no—
301#13093999—21no—
302#13093999C2311yescharacteristic
303#13093999C2311yescharacteristic
304#13093999C2311yescharacteristic
305#13093998—21no—
306#13093998C2311yescharacteristic
307#13093998C2311yescharacteristic
308#13093998C2311yescharacteristic
309#13093997—21no—
310#13093997—21no—
311#13093997—21no—
312#13093997—21no—
313#13093997—21no—
314#13093997—21no—
315#13093996—21no—
316#13093996—21no—
317#13093996—21no—
318#13093996—21no—
319#13093996—21no—
320#13093996—21no—
321#13093996—21no—
322#13093996—21no—
323#13093995—21no—
324#13093995—21no—
325#13093995C2311yescharacteristic
326#13093995C2311yescharacteristic
327#13093995C2311yescharacteristic
328#13093995C2311yescharacteristic
329#13093994—21no—
330#13093994—21no—
331#13093994—21no—
332#13093992—21no—
333#13093992—21no—
334#13093992—21no—
335#13093992—21no—
336#13093992—21no—
337C4×Dic94C2311yescharacteristic
338#13093989—21no—
339#13093989—21no—
340#13093989D411yescharacteristic
341#13093989D411yescharacteristic
342#13093989C2311yescharacteristic
343C4×D188C2311yescharacteristic
344C4×D188C2311yescharacteristic
345C4×D188C2311yescharacteristic
346D4×Dic47—21no—
347D4×Dic47—21no—
348D4×Dic47C2311yescharacteristic
349D4×Dic47C2311yescharacteristic
350D4×Dic47C2311yescharacteristic
351D4×Dic47C2311yescharacteristic
352#13093986—21no—
353#13093986D411yescharacteristic
354#13093986D411yescharacteristic
355#13093986C2311yescharacteristic
356#13093986C2311yescharacteristic
357#13093986C2311yescharacteristic
358C4×C22⋊D47—21no—
359C4×C22⋊D47—21no—
360C4×C22⋊D47—21no—
361C4×C22⋊D47—21no—
362C4×C22⋊D47—21no—
363C4×C22⋊D47—21no—
364(C22⋊D47)⋊C4—21no—
365(C22⋊D47)⋊C4—21no—
366(C22⋊D47)⋊C4—21no—
367(C22⋊D47)⋊C4—21no—
368(C22⋊D47)⋊C4—21no—
369(C22⋊D47)⋊C4—21no—
370(C22⋊D47)⋊C4—21no—
371(C22⋊D47)⋊C4D411yescharacteristic
372(C22⋊D47)⋊C4D411yescharacteristic
373(C22⋊D47)⋊C4D411yescharacteristic
374(C22⋊D47)⋊C4D411yescharacteristic
375#13093982—21no—
376#13093982C2311yescharacteristic
377#13093982C2311yescharacteristic
378#13093982C2311yescharacteristic
379#13093981C2311yescharacteristic
380#13093981C2311yescharacteristic
381#13093980—21no—
382#13093980—21no—
383C4⋊C4×D47C2311yescharacteristic
384C2×(C2×D47)⋊C4—21no—
385C2×(C2×D47)⋊C4—21no—
386C22⋊C4×D47—21no—
387C22⋊C4×D47—21no—
388C22⋊C4×D47—21no—
389C2×C4×Dic47—21no—
390C2×C4×Dic47C2311yescharacteristic
391C42×D47C2311yescharacteristic
392C42×D47C2311yescharacteristic
393#13093958C2311yescharacteristic
394#13093958C2311yescharacteristic
395#13093957C2311yescharacteristic
396#13093957C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093956C2311yescharacteristic
400#13093956C2311yescharacteristic
401#13093955C2311yescharacteristic
402#13093955C2311yescharacteristic
403#13093955C2311yescharacteristic
404#13093955C2311yescharacteristic
405C4⋊(C47⋊C8)C2311yescharacteristic
406C4⋊(C47⋊C8)C2311yescharacteristic
407C4⋊(C47⋊C8)C2311yescharacteristic
408C4⋊(C47⋊C8)C2311yescharacteristic
409Dic47⋊C8C2311yescharacteristic
410Dic47⋊C8C2311yescharacteristic
411Dic47⋊C8C2311yescharacteristic
412Dic47⋊C8C2311yescharacteristic
413Dic47⋊C8C2311yescharacteristic
414Dic47⋊C8C2311yescharacteristic
415Dic47⋊C8C2311yescharacteristic
416Dic47⋊C8C2311yescharacteristic
417#13093949C2311yescharacteristic
418#13093949C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093946C2311yescharacteristic
426#13093946C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093945C2311yescharacteristic
430#13093945C2311yescharacteristic
431#13093945C2311yescharacteristic
432#13093945C2311yescharacteristic
433#13093945C2311yescharacteristic
434#13093945C2311yescharacteristic
435#13093944C2311yescharacteristic
436#13093944C2311yescharacteristic
437#13093944C2311yescharacteristic
438#13093944C2311yescharacteristic
439#13093944C2311yescharacteristic
440#13093944C2311yescharacteristic
441C2×D8×C47C2311yescharacteristic
442C2×D8×C47C2311yescharacteristic
443C2×D8×C47C2311yescharacteristic
444C2×D8×C47C2311yescharacteristic
445C2×M16×C47C2311yescharacteristic
446C22×C8×C47C2311yescharacteristic
447#127×C47C2311yescharacteristic
448#127×C47C2311yescharacteristic
449#125×C47C2311yescharacteristic
450#125×C47C2311yescharacteristic
451#123×C47—21no—
452#123×C47—21no—
453#123×C47—21no—
454#123×C47—21no—
455#121×C47—21no—
456#121×C47—21no—
457#121×C47—21no—
458#121×C47—21no—
459#121×C47C2311yescharacteristic
460#121×C47C2311yescharacteristic
461#121×C47C2311yescharacteristic
462#121×C47C2311yescharacteristic
463C4×D4×C47C2311yescharacteristic
464C4×D4×C47C2311yescharacteristic
465C4×D4×C47C2311yescharacteristic
466C4×D4×C47C2311yescharacteristic
467#117×C47C2311yescharacteristic
468#107×C47C2311yescharacteristic
469#107×C47C2311yescharacteristic
470#106×C47C2311yescharacteristic
471#106×C47C2311yescharacteristic
472C4⋊C8×C47C2311yescharacteristic
473C4⋊C8×C47C2311yescharacteristic
474C4⋊C8×C47C2311yescharacteristic
475C4⋊C8×C47C2311yescharacteristic
476#102×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484C23×D47—21no—
485C23×D47—21no—
486C23×D47—21no—
487C2×D4×C47—21no—
488C2×D4×C47—21no—
489C2×D4×C47—21no—
490C2×D4×C47—21no—
491C2×D4×C47—21no—
492C2×D4×C47—21no—
493C2×D4×C47—21no—
494C2×D4×C47—21no—
495C2×D4×C47C2411yescharacteristic
496C2×D4×C47C2411yescharacteristic
497C2×D4×C47C2411yescharacteristic
498C2×D4×C47C2411yescharacteristic
499C22×C4×C47—21no—
500C22×C4×C47—21no—
501C22×C4×C47—21no—
502C22×C4×C47—21no—
503C22×C4×C47C2411yescharacteristic
504C2×C22⋊D47—21no—
505C2×C22⋊D47—21no—
506C2×C22⋊D47—21no—
507C2×C22⋊D47—21no—
508C2×C22⋊D47—21no—
509C2×C22⋊D47—21no—
510C2×C22⋊D47—21no—
511C2×C22⋊D47—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—21no—
520C2×C22⋊D47—21no—
521C2×C22⋊D47C2×D411yescharacteristic
522C2×C22⋊D47C2×D411yescharacteristic
523C22×Dic47—21no—
524C22×Dic47—21no—
525C22×Dic47—21no—
526C22×Dic47—21no—
527C22×Dic47—21no—
528C22×Dic47C2×D411yescharacteristic
529C22×Dic47C2×D411yescharacteristic
530#10625352—22no—
531#10625352—22no—
532#10625352—82no—
533#10625352—82no—
534#10625352—82no—
535#10625352—82no—
536D4×D47—22no—
537D4×D47—22no—
538D4×D47—22no—
539D4×D47—22no—
540D4×D47—22no—
541D4×D47—22no—
542D4×D47—82no—
543D4×D47—82no—
544#10625350—22no—
545#10625350—22no—
546#10625350—82no—
547#10625350—82no—
548C2×D188—21no—
549C2×D188—21no—
550C2×D188—21no—
551C2×D188—21no—
552C2×D188—21no—
553C2×D188C2×D411yescharacteristic
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×D47—82no—
565C2×C4×D47C2×D411yescharacteristic
566C2×C4×D47C2×D411yescharacteristic
567C2×C4×D47C2×D411yescharacteristic
568C2×C4×D47C2×D411yescharacteristic
569C2×C4×D47C2411yescharacteristic
570C2×C4×D47C2411yescharacteristic
571C2×Dic94—21no—
572C2×Dic94—21no—
573C2×Dic94—21no—
574C2×Dic94—21no—
575C2×Dic94C2×D411yescharacteristic
576C2×Dic94C2411yescharacteristic
577D8×C47—41no—
578D8×C47—41no—
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×C47—21no—
591C4⋊C4×C47C2×D411yescharacteristic
592C4⋊C4×C47C2×D411yescharacteristic
593C4⋊C4×C47C2411yescharacteristic
594C4⋊C4×C47C2411yescharacteristic
595C4⋊C4×C47C2411yescharacteristic
596C4⋊C4×C47C2411yescharacteristic
597C22⋊C4×C47—21no—
598C22⋊C4×C47—21no—
599C22⋊C4×C47—21no—
600C22⋊C4×C47—21no—
601C22⋊C4×C47—21no—
602C22⋊C4×C47—21no—
603C22⋊C4×C47—21no—
604C22⋊C4×C47—21no—
605C22⋊C4×C47C2×D411yescharacteristic
606C22⋊C4×C47C2×D411yescharacteristic
607C42×C47C2411yescharacteristic
608C42×C47C2411yescharacteristic
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⋊Dic47—21no—
620#10625335—41no—
621#10625335—41no—
622#10625334—41no—
623#10625334—41no—
624#10625334—41no—
625#10625334—41no—
626#10625334—41no—
627#10625334—41no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4—21no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4—21no—
638(C2×D47)⋊C4—21no—
639(C2×D47)⋊C4—21no—
640(C2×D47)⋊C4—21no—
641(C2×D47)⋊C4—21no—
642(C2×D47)⋊C4—21no—
643(C2×D47)⋊C4—21no—
644(C2×D47)⋊C4—21no—
645(C2×D47)⋊C4—21no—
646(C2×D47)⋊C4C2×D411yescharacteristic
647(C2×D47)⋊C4C2×D411yescharacteristic
648(C2×D47)⋊C4C2×D411yescharacteristic
649(C2×D47)⋊C4C2×D411yescharacteristic
650C4⋊Dic47—21no—
651C4⋊Dic47—21no—
652C4⋊Dic47—21no—
653C4⋊Dic47C2411yescharacteristic
654C4⋊Dic47C2411yescharacteristic
655C4⋊Dic47C2411yescharacteristic
656C4⋊Dic47C2411yescharacteristic
657Dic47⋊C4—21no—
658Dic47⋊C4—21no—
659Dic47⋊C4—21no—
660Dic47⋊C4—21no—
661Dic47⋊C4—21no—
662Dic47⋊C4—21no—
663Dic47⋊C4—21no—
664Dic47⋊C4—21no—
665Dic47⋊C4—21no—
666Dic47⋊C4—21no—
667Dic47⋊C4C2×D411yescharacteristic
668Dic47⋊C4C2×D411yescharacteristic
669Dic47⋊C4C2×D411yescharacteristic
670Dic47⋊C4C2×D411yescharacteristic
671C4×Dic47—21no—
672C4×Dic47—21no—
673C4×Dic47—21no—
674C4×Dic47—21no—
675C4×Dic47—21no—
676C4×Dic47C2×D411yescharacteristic
677C4×Dic47C2×D411yescharacteristic
678C4×Dic47C2×D411yescharacteristic
679C4×Dic47C2×D411yescharacteristic
680C4×Dic47C2×D411yescharacteristic
681C4×Dic47C2×D411yescharacteristic
682C4×Dic47C2411yescharacteristic
683C4×Dic47C2411yescharacteristic
684#10625329—41no—
685C2×C47⋊C8—41no—
686C2×C47⋊C8C2411yescharacteristic
687C2×C47⋊C8C2411yescharacteristic
688C2×C47⋊C8C2411yescharacteristic
689C2×C47⋊C8C2411yescharacteristic
690D376—41no—
691D376—41no—
692#10625325—41no—
693#10625325—41no—
694#10625324—22no—
695#10625324—22no—
696#10625324—41no—
697#10625324—41no—
698C8×D47—22no—
699C8×D47—22no—
700C8×D47—41no—
701C8×D47—41no—
702C23×C47—21no—
703C23×C47—21no—
704C23×C47—21no—
705C23×C47—21no—
706C23×C47C22×D411yescharacteristic
707C22×D47—21no—
708C22×D47—21no—
709C22×D47—21no—
710C22×D47—42no—
711C22×D47—42no—
712C22×D47—42no—
713C22×D47—81no—
714C22×D47—81no—
715C22×D47—81no—
716C22×D47—81no—
717C22×D47—81no—
718C22×D47—81no—
719C22×D47C22×D411yescharacteristic
720C22×D47C22×D411yescharacteristic
721D4×C47—21no—
722D4×C47—21no—
723D4×C47—21no—
724D4×C47—21no—
725D4×C47—21no—
726D4×C47—21no—
727D4×C47—21no—
728D4×C47—21no—
729D4×C47—81no—
730D4×C47—81no—
731D4×C47—81no—
732D4×C47—81no—
733D4×C47—81no—
734D4×C47—81no—
735D4×C47—81no—
736D4×C47—81no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—81no—
744C2×C4×C47—81no—
745C2×C4×C47—81no—
746C2×C4×C47—81no—
747C2×C4×C47C22×D411yescharacteristic
748C2×C4×C47C22×D411yescharacteristic
749C2×C4×C47C22×D411yescharacteristic
750C2×C4×C47C22×D411yescharacteristic
751C2×C4×C47C22×D411yescharacteristic
752C2×C4×C47C2511yescharacteristic
753C22⋊D47—22no—
754C22⋊D47—22no—
755C22⋊D47—42no—
756C22⋊D47—42no—
757C22⋊D47—42no—
758C22⋊D47—42no—
759C22⋊D47—42no—
760C22⋊D47—42no—
761C22⋊D47—42no—
762C22⋊D47—42no—
763C22⋊D47—81no—
764C22⋊D47—81no—
765C22⋊D47—81no—
766C22⋊D47—81no—
767C22⋊D47—81no—
768C22⋊D47—81no—
769C22⋊D47—81no—
770C22⋊D47—81no—
771C22⋊D47—81no—
772C2×Dic47—22no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—21no—
777C2×Dic47—21no—
778C2×Dic47—41no—
779C2×Dic47—42no—
780C2×Dic47—42no—
781C2×Dic47—42no—
782C2×Dic47—81no—
783C2×Dic47—81no—
784C2×Dic47C22×D411yescharacteristic
785C2×Dic47C22×D411yescharacteristic
786C2×Dic47C22×D411yescharacteristic
787C2×Dic47C22×D411yescharacteristic
788C2×Dic47C22×D411yescharacteristic
789C2×Dic47C22×D411yescharacteristic
790D188—22no—
791D188—21no—
792D188—21no—
793D188—21no—
794D188—21no—
795D188—21no—
796D188—21no—
797D188—81no—
798D188—81no—
799D188—81no—
800D188—81no—
801D188—81no—
802C4×D47—21no—
803C4×D47—21no—
804C4×D47—22no—
805C4×D47—22no—
806C4×D47—41no—
807C4×D47—41no—
808C4×D47—42no—
809C4×D47—81no—
810C4×D47—81no—
811C4×D47—81no—
812C4×D47—81no—
813C4×D47—81no—
814C4×D47—81no—
815C4×D47H(5,𝔽2)12yes—
816C4×D472−1+412yes—
817Dic94—22no—
818Dic94—21no—
819Dic94—21no—
820Dic94—42no—
821Dic94—42no—
822Dic94—81no—
823Dic94—81no—
824C8×C47—21no—
825C8×C47—21no—
826C8×C47—21no—
827C8×C47—21no—
828C47⋊C8—21no—
829C47⋊C8—21no—
830C47⋊C8—21no—
831C47⋊C8—21no—
832#60922—471nomaximal, Sylow
833C22×C47—21no—
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—41no—
845C22×C47—41no—
846C22×C47—41no—
847C22×C47—41no—
848C22×C47C23×D411yescharacteristic
849C2×D47—21no—
850C2×D47—21no—
851C2×D47—21no—
852C2×D47—21no—
853C2×D47—21no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—41no—
858C2×D47—41no—
859C2×D47—41no—
860C2×D47—41no—
861C2×D47—41no—
862C2×D47—41no—
863C2×D47—84no—
864C2×D47—162no—
865C2×D47—162no—
866C2×D47#53712yes—
867C4×C47—21no—
868C4×C47—21no—
869C4×C47—21no—
870C4×C47—21no—
871C4×C47—21no—
872C4×C47—41no—
873C4×C47—41no—
874C4×C47—41no—
875C4×C47—41no—
876C4×C47C2×H(5,𝔽2)11yescharacteristic
877C4×C47C2×2−1+411yescharacteristic
878Dic47—21no—
879Dic47—21no—
880Dic47—21no—
881Dic47—21no—
882Dic47—41no—
883Dic47—41no—
884Dic47—41no—
885Dic47—41no—
886Dic47—41no—
887Dic47#53712yes—
888Dic47#57612yes—
889#3508—471no—
890#3460—471no—
891#3259—471no—
892#3259—471no—
893#3259—471no—
894#3259D4711yescharacteristic, complemented
895#3257—471no—
896#3257—471no—
897#3257—471no—
898#3257—471no—
899#3253—471no—
900#3253—471no—
901#3251—471no—
902#3251—471no—
903#3247—471no—
904#3247—471no—
905#3245—471no—
906#3245—471no—
907#3081—471no—
908#3081—471no—
909#3077—471no—
910#3076—471no—
911#3062—471no—
912#3062—471no—
913#3058—471no—
914#3058—471no—
915#3041—471no—
916#3041—471no—
917#3038—471no—
918C2×#459—471no—
919#2906—471no—
920C2×C47—41no—
921C2×C47—81no—
922C2×C47—81no—
923C2×C47—81no—
924C2×C47—81no—
925C2×C47C2×#53711yescharacteristic
926C2×C47C2×#57611yescharacteristic
927C2×C47#358511yescharacteristic
928D47—22no—
929D47—41no—
930D47—81no—
931D47—81no—
932D47—81no—
933C2×AGL(1,ℤ/8)—471no—
934C2×AGL(1,ℤ/8)—471no—
935C22×D8—471no—
936C22×D8—471no—
937C2×#131—471no—
938C2×#131—471no—
939#559—941no—
940#559—941no—
941#550—941no—
942#550—941no—
943#546—941no—
944#546—941no—
945#546—941no—
946#546—941no—
947#544—471no—
948#542—471no—
949#542—471no—
950#542—941no—
951#540—471no—
952#540—471no—
953#540—471no—
954#540—471no—
955#540—941no—
956#540C2×D4711yescharacteristic, complemented
957#540C2×D4711yescharacteristic, complemented
958#538—941no—
959#538—941no—
960#537—471no—
961#535—471no—
962#535—471no—
963#535—471no—
964#535—471no—
965#533—471no—
966#532—471no—
967#532—471no—
968#532—471no—
969#532—471no—
970#532—471no—
971#532—471no—
972#532—941no—
973C2×#127—471no—
974#529—471no—
975#529—471no—
976#529—941no—
977#525—941no—
978#525—941no—
979#518—471no—
980#518—471no—
981C4×#41—471no—
982C4×#41—471no—
983C2×C4×D4—471no—
984#479—471no—
985#479—471no—
986#478—471no—
987#478—471no—
988#478—471no—
989#478—471no—
990#478—471no—
991#478—471no—
992#478—471no—
993#478—471no—
994#478—471no—
995#478—471no—
996#478C2×D4711yescharacteristic, complemented
997#478C2×D4711yescharacteristic, complemented
998#478C2×D4711yescharacteristic, complemented
999#478C2×D4711yescharacteristic, complemented
1000#477—471no—
1001#476—471no—
1002#476—471no—
1003#476—471no—
1004#476—471no—
1005#476—471no—
1006#476—471no—
1007#476—471no—
1008#475—471no—
1009#474—471no—
1010#474—471no—
1011#474—471no—
1012#474—471no—
1013#474—471no—
1014#474—471no—
1015#474—471no—
1016#469—471no—
1017#469—471no—
1018#469—471no—
1019#469—471no—
1020#469—471no—
1021#469—471no—
1022#469—471no—
1023#469—471no—
1024#469—471no—
1025#469—471no—
1026#469C2×D4711yescharacteristic, complemented
1027#469C2×D4711yescharacteristic, complemented
1028#468—471no—
1029#468—471no—
1030#468—471no—
1031#468—471no—
1032#466—471no—
1033#466—471no—
1034#466—471no—
1035#466—471no—
1036#466—471no—
1037#466—471no—
1038#466—471no—
1039#466—471no—
1040#466—471no—
1041#466—471no—
1042#466C2×D4711yescharacteristic, complemented
1043#466C2×D4711yescharacteristic, complemented
1044#465—471no—
1045#465—471no—
1046#465—471no—
1047#465—471no—
1048#463—471no—
1049#463—471no—
1050#463—471no—
1051#463—471no—
1052#463—471no—
1053#463—471no—
1054#463—471no—
1055#463—471no—
1056#460—471no—
1057#460—471no—
1058#460—471no—
1059#460—471no—
1060#459—471no—
1061#459—471no—
1062#459—471no—
1063#459—471no—
1064#459—471no—
1065#459—471no—
1066#459—471no—
1067#459—471no—
1068#459—471no—
1069#459—471no—
1070#459—471no—
1071#459—471no—
1072#459—471no—
1073#459—471no—
1074#459—471no—
1075#459—471no—
1076#459C2×D4711yescharacteristic
1077#459C2×D4711yescharacteristic, complemented
1078#459C2×D4711yescharacteristic, complemented
1079#459C2×D4711yescharacteristic, complemented
1080#428—471no—
1081#428—471no—
1082#427—471no—
1083#427—471no—
1084#424—471no—
1085#424—471no—
1086#424—471no—
1087#424—471no—
1088#424—471no—
1089#424C2×D4711yescharacteristic, complemented
1090#423—471no—
1091#423—471no—
1092#423—471no—
1093C2×C4⋊C8—471no—
1094C2×C4⋊C8—471no—
1095C2×C4⋊C8—471no—
1096#418—471no—
1097#418—471no—
1098#418—471no—
1099#418—471no—
1100#416—471no—
1101#416—471no—
1102C2×#102—471no—
1103C2×#102—471no—
1104C47#6092211yescharacteristic, complemented, Sylow
1105C2×#41—471no—
1106C2×#41—471no—
1107C2×#41—941no—
1108C2×#41—941no—
1109C2×#41—941no—
1110C2×#41—941no—
1111C2×#41—941no—
1112C2×#41—941no—
1113C22×D4—471no—
1114C22×D4—471no—
1115C22×D4—471no—
1116C22×D4—941no—
1117C22×D4—941no—
1118C23×C4—941no—
1119AGL(1,ℤ/8)—1882no—
1120AGL(1,ℤ/8)—1882no—
1121C2×SD16—471no—
1122C2×SD16—471no—
1123C2×SD16—471no—
1124C2×SD16—471no—
1125C2×D8—471no—
1126C2×D8—471no—
1127C2×D8—471no—
1128C2×D8—471no—
1129C2×D8—471no—
1130C2×D8—471no—
1131C2×D8—471no—
1132C2×D8—471no—
1133C2×D8—1882no—
1134C2×D8—1882no—
1135C2×D8C22×D4711yescharacteristic
1136C2×D8C22×D4711yescharacteristic
1137C2×D8C22×D4711yescharacteristic
1138C2×D8C22×D4711yescharacteristic
1139#131—1882no—
1140#131—1882no—
1141C2×M16—471no—
1142C2×M16—471no—
1143C2×M16—471no—
1144C2×M16—471no—
1145C2×M16—471no—
1146C2×M16C22×D4711yescharacteristic
1147C22×C8—471no—
1148C22×C8—471no—
1149C22×C8—471no—
1150C22×C8—471no—
1151C22×C8—471no—
1152C22×C8C22×D4711yescharacteristic
1153C4⋊Q8—471no—
1154C4⋊Q8—471no—
1155C4⋊Q8—471no—
1156C4⋊Q8—471no—
1157C4⋊Q8—941no—
1158#127—471no—
1159#127—471no—
1160#127—471no—
1161#127—471no—
1162#127—941no—
1163#127—941no—
1164#127—941no—
1165#127—941no—
1166#127—941no—
1167#127C22×D4711yescharacteristic
1168#127C22×D4711yescharacteristic
1169#126—941no—
1170#126—941no—
1171#126—941no—
1172#126—941no—
1173#125—471no—
1174#125—471no—
1175#125—941no—
1176#125C22×D4711yescharacteristic
1177#125C22×D4711yescharacteristic
1178#124—471no—
1179#124—471no—
1180#124—941no—
1181#124—941no—
1182#124—941no—
1183#124—941no—
1184#124—941no—
1185#124—941no—
1186#124—941no—
1187#124—941no—
1188#124—941no—
1189#124—941no—
1190#124—941no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
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—
1207C22⋊Q8—471no—
1208C22⋊Q8—471no—
1209C22⋊Q8—941no—
1210C22⋊Q8—941no—
1211C22⋊Q8—941no—
1212C22⋊Q8—941no—
1213C22⋊Q8—941no—
1214C22⋊Q8—941no—
1215C22⋊Q8—941no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121—471no—
1221#121—471no—
1222#121—471no—
1223#121—471no—
1224#121—471no—
1225#121—471no—
1226#121—471no—
1227#121—471no—
1228#121—471no—
1229#121—471no—
1230#121—941no—
1231#121—941no—
1232#121—941no—
1233#121—941no—
1234#121—941no—
1235#121—941no—
1236#121—941no—
1237#121—941no—
1238#121—941no—
1239#121—941no—
1240#121—941no—
1241#121—941no—
1242#121—941no—
1243#121—941no—
1244#121—941no—
1245#121—941no—
1246#121—941no—
1247#121—941no—
1248#121—941no—
1249#121C22×D4711yescharacteristic
1250#121C22×D4711yescharacteristic
1251#121C22×D4711yescharacteristic
1252#121C22×D4711yescharacteristic
1253#120—941no—
1254#120—941no—
1255#120—941no—
1256#120—941no—
1257#120—941no—
1258#120—941no—
1259#120—941no—
1260#120—941no—
1261C4×Q8—471no—
1262C4×Q8—471no—
1263C4×Q8—471no—
1264C4×Q8—471no—
1265C4×Q8—941no—
1266C4×Q8—941no—
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—471no—
1278C4×D4—471no—
1279C4×D4—471no—
1280C4×D4—471no—
1281C4×D4—471no—
1282C4×D4—471no—
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×D4—941no—
1294C4×D4—941no—
1295C4×D4—941no—
1296C4×D4—941no—
1297C4×D4—941no—
1298C4×D4—941no—
1299C4×D4C22×D4711yescharacteristic
1300C4×D4C22×D4711yescharacteristic
1301C4×D4C22×D4711yescharacteristic
1302C4×D4C22×D4711yescharacteristic
1303#117—471no—
1304#117—471no—
1305#117—471no—
1306#117—471no—
1307#117—471no—
1308#117—941no—
1309#117—941no—
1310#117—941no—
1311#117C22×D4711yescharacteristic
1312C2×C4⋊C4—471no—
1313C2×C22⋊C4—941no—
1314C2×C22⋊C4—941no—
1315C2×C22⋊C4—941no—
1316C2×C22⋊C4—941no—
1317C2×C22⋊C4—941no—
1318C2×C42—471no—
1319C2×C42—471no—
1320C2×C42—471no—
1321C2×C42—941no—
1322#107—471no—
1323#107—471no—
1324#107—471no—
1325#107—471no—
1326#107—471no—
1327#107—471no—
1328#107C22×D4711yescharacteristic
1329#107C22×D4711yescharacteristic
1330#106—471no—
1331#106—471no—
1332#106—471no—
1333#106—471no—
1334#106—471no—
1335#106—471no—
1336#106C22×D4711yescharacteristic
1337#106C22×D4711yescharacteristic
1338C4⋊C8—471no—
1339C4⋊C8—471no—
1340C4⋊C8—471no—
1341C4⋊C8—471no—
1342C4⋊C8—471no—
1343C4⋊C8—471no—
1344C4⋊C8—471no—
1345C4⋊C8—471no—
1346C4⋊C8—471no—
1347C4⋊C8—471no—
1348C4⋊C8—471no—
1349C4⋊C8—471no—
1350C4⋊C8C22×D4711yescharacteristic
1351C4⋊C8C22×D4711yescharacteristic
1352C4⋊C8C22×D4711yescharacteristic
1353C4⋊C8C22×D4711yescharacteristic
1354#103—471no—
1355#103—471no—
1356#103—471no—
1357#103—471no—
1358#102—471no—
1359#102—471no—
1360#102—471no—
1361#102—471no—
1362#102—471no—
1363#102—471no—
1364#102—471no—
1365#102—471no—
1366#102—471no—
1367#102—471no—
1368#102—471no—
1369#102—471no—
1370#102—471no—
1371#102—471no—
1372#102—471no—
1373#102—471no—
1374#102—471no—
1375#102—471no—
1376#102—471no—
1377#102—471no—
1378#102C22×D4711yescharacteristic
1379#102C22×D4711yescharacteristic
1380#102C22×D4711yescharacteristic
1381#102C22×D4711yescharacteristic
1382#102C22×D4711yescharacteristic
1383#102C22×D4711yescharacteristic
1384#102C22×D4711yescharacteristic
1385#102C22×D4711yescharacteristic
1386C24—941no—
1387C24—941no—
1388C24—941no—
1389#41—942no—
1390#41—942no—
1391#41—942no—
1392#41—942no—
1393#41—3762no—
1394#41—3762no—
1395#41—3762no—
1396#41—3762no—
1397#41—3762no—
1398#41—3762no—
1399C2×Q8—471no—
1400C2×Q8—471no—
1401C2×Q8—941no—
1402C2×Q8—941no—
1403C2×Q8—941no—
1404C2×Q8—941no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—471no—
1414C2×D4—471no—
1415C2×D4—471no—
1416C2×D4—471no—
1417C2×D4—471no—
1418C2×D4—471no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—942no—
1423C2×D4—942no—
1424C2×D4—942no—
1425C2×D4—942no—
1426C2×D4—942no—
1427C2×D4—942no—
1428C2×D4—941no—
1429C2×D4—941no—
1430C2×D4—941no—
1431C2×D4—941no—
1432C2×D4—941no—
1433C2×D4—941no—
1434C2×D4—941no—
1435C2×D4—941no—
1436C2×D4—941no—
1437C2×D4—941no—
1438C2×D4—941no—
1439C2×D4—941no—
1440C2×D4—941no—
1441C2×D4—941no—
1442C2×D4—941no—
1443C2×D4—941no—
1444C2×D4—941no—
1445C2×D4—941no—
1446C2×D4—941no—
1447C2×D4—3762no—
1448C2×D4—3762no—
1449C2×D4C23×D4711yescharacteristic
1450C2×D4C23×D4711yescharacteristic
1451C2×D4C23×D4711yescharacteristic
1452C2×D4C23×D4711yescharacteristic
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—471no—
1458C22×C4—471no—
1459C22×C4—471no—
1460C22×C4—471no—
1461C22×C4—471no—
1462C22×C4—471no—
1463C22×C4—471no—
1464C22×C4—471no—
1465C22×C4—941no—
1466C22×C4—941no—
1467C22×C4—941no—
1468C22×C4—941no—
1469C22×C4—941no—
1470C22×C4—941no—
1471C22×C4—941no—
1472C22×C4—941no—
1473C22×C4—941no—
1474C22×C4—941no—
1475C22×C4—941no—
1476C22×C4—941no—
1477C22×C4—3762no—
1478C22×C4C23×D4711yescharacteristic
1479SD16—1881no—
1480SD16—1881no—
1481SD16—1881no—
1482SD16—1881no—
1483D8—41no—
1484D8—41no—
1485D8—41no—
1486D8—41no—
1487D8—1881no—
1488D8—1881no—
1489D8—1881no—
1490D8—1881no—
1491D8—1881no—
1492D8—1881no—
1493D8—1881no—
1494D8—1881no—
1495M16—41no—
1496M16—942no—
1497M16—942no—
1498M16—1881no—
1499M16—1881no—
1500M16—1881no—
1501C2×C8—41no—
1502C2×C8—471no—
1503C2×C8—471no—
1504C2×C8—471no—
1505C2×C8—471no—
1506C2×C8—942no—
1507C2×C8—942no—
1508C2×C8—1881no—
1509C2×C8—1881no—
1510C2×C8—1881no—
1511C2×C8C23×D4711yescharacteristic
1512C2×C8C23×D4711yescharacteristic
1513C2×C8C23×D4711yescharacteristic
1514C2×C8C23×D4711yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—471no—
1520C4⋊C4—471no—
1521C4⋊C4—471no—
1522C4⋊C4—471no—
1523C4⋊C4—471no—
1524C4⋊C4—471no—
1525C4⋊C4—471no—
1526C4⋊C4—471no—
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⋊C4—941no—
1539C4⋊C4—941no—
1540C4⋊C4D4×D4711yescharacteristic
1541C4⋊C4D4×D4711yescharacteristic
1542C4⋊C4C23×D4711yescharacteristic
1543C4⋊C4C23×D4711yescharacteristic
1544C4⋊C4C23×D4711yescharacteristic
1545C4⋊C4C23×D4711yescharacteristic
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—471no—
1555C22⋊C4—471no—
1556C22⋊C4—471no—
1557C22⋊C4—471no—
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—471no—
1595C42—471no—
1596C42—471no—
1597C42—941no—
1598C42—941no—
1599C42—941no—
1600C42—941no—
1601C42—941no—
1602C42C23×D4711yescharacteristic
1603C42C23×D4711yescharacteristic
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—471no—
1609C23—471no—
1610C23—941no—
1611C23—941no—
1612C23—941no—
1613C23—3761no—
1614C23—3761no—
1615C23—3761no—
1616C23—3761no—
1617C23—3761no—
1618C23—3761no—
1619C23—1882no—
1620C23—1882no—
1621C23—1882no—
1622C23C2×D4×D4711yescharacteristic
1623Q8—942no—
1624Q8—941no—
1625Q8—941no—
1626Q8—3761no—
1627Q8—3761no—
1628Q8—1882no—
1629Q8—1882no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—942no—
1647D4—942no—
1648D4—942no—
1649D4—941no—
1650D4—941no—
1651D4—941no—
1652D4—941no—
1653D4—941no—
1654D4—941no—
1655D4—3761no—
1656D4—3761no—
1657D4—3761no—
1658D4—3761no—
1659D4—3761no—
1660D4—3761no—
1661D4—3761no—
1662D4—3761no—
1663D4—3761no—
1664D4—3761no—
1665D4—3761no—
1666D4—3761no—
1667D4—3761no—
1668D4—3761no—
1669D4—1882no—
1670D4—1882no—
1671D4—1882no—
1672D4—1882no—
1673D4—1882no—
1674D4—1882no—
1675D4—1882no—
1676D4—1882no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—471no—
1688C2×C4—471no—
1689C2×C4—472no—
1690C2×C4—472no—
1691C2×C4—471no—
1692C2×C4—471no—
1693C2×C4—471no—
1694C2×C4—471no—
1695C2×C4—942no—
1696C2×C4—942no—
1697C2×C4—942no—
1698C2×C4—941no—
1699C2×C4—941no—
1700C2×C4—941no—
1701C2×C4—941no—
1702C2×C4—941no—
1703C2×C4—941no—
1704C2×C4—941no—
1705C2×C4—3761no—
1706C2×C4—3761no—
1707C2×C4—3761no—
1708C2×C4—3761no—
1709C2×C4—3761no—
1710C2×C4—3761no—
1711C2×C4—3761no—
1712C2×C4—3761no—
1713C2×C4—1881no—
1714C2×C4—1881no—
1715C2×C4—1882no—
1716C2×C4—1882no—
1717C2×C4—1882no—
1718C2×C4—1882no—
1719C2×C4—1881no—
1720C2×C4C2×D4×D4711yescharacteristic
1721C2×C4C2×D4×D4711yescharacteristic
1722C2×C4C2×D4×D4711yescharacteristic
1723C2×C4C2×D4×D4711yescharacteristic
1724C2×C4C2×D4×D4711yescharacteristic
1725C2×C4C24×D4711yescharacteristic
1726C8—21no—
1727C8—21no—
1728C8—21no—
1729C8—21no—
1730C8—941no—
1731C8—941no—
1732C8—941no—
1733C8—941no—
1734C22—21no—
1735C22—21no—
1736C22—21no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—472no—
1750C22—941no—
1751C22—941no—
1752C22—941no—
1753C22—941no—
1754C22—941no—
1755C22—3764no—
1756C22—1881no—
1757C22—1881no—
1758C22—1881no—
1759C22—1881no—
1760C22—1881no—
1761C22—1881no—
1762C22—1881no—
1763C22—1881no—
1764C22—1881no—
1765C22—7522no—
1766C22—7522no—
1767C22C22×D4×D4711yescharacteristic
1768C4—21no—
1769C4—21no—
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—472no—
1778C4—472no—
1779C4—941no—
1780C4—941no—
1781C4—941no—
1782C4—941no—
1783C4—1881no—
1784C4—1881no—
1785C4—1881no—
1786C4—1881no—
1787C4—1881no—
1788C4H(5,𝔽2)×D4711yescharacteristic
1789C42−1+4×D4711yescharacteristic
1790C2—41no—
1791C2—81no—
1792C2—81no—
1793C2—81no—
1794C2—81no—
1795C2—942no—
1796C2—3761no—
1797C2—3761no—
1798C2—3761no—
1799C2—1881no—
1800C2#537×D4711yescharacteristic
1801C2#576×D4711yescharacteristic
1802C2#2025816311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3259C2
socleC22×C47C23×D4
hypercenter#3259D47
hypocenterC47#60922
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #117 ◁ #3259

Complements

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

NH ≅ G/Ntype
1. #20257260C2semidirect
2. #20256803C2semidirect
3. #20254826C2semidirect
4. #20254825C2semidirect
5. #20254823C2semidirect
6. #20254803C2semidirect
7. #20254801C2semidirect
8. #20254795C2semidirect
9. #20254793C2semidirect
10. #20254767C2semidirect
11. #20254765C2semidirect
12. #20254749C2semidirect
13. #20254743C2semidirect
14. #20254713C2semidirect
15. #20254707C2semidirect
16. #20254696C2semidirect
17. #20254694C2semidirect
18. #20253218C2semidirect
19. #20253216C2semidirect
20. #20253183C2semidirect
21. #20253173C2semidirect
22. #20253067C2semidirect
23. #20253065C2semidirect
24. #20253034C2semidirect
25. #20253031C2semidirect
26. #20252886C2semidirect
27. #20252886C2semidirect
28. #20252863C2semidirect
29. #459×D47C2semidirect
30. #20251955C2semidirect
31. C47×#3259C2semidirect
47. #15689744C22semidirect
49. #15689738C22semidirect
50. #15689729C22semidirect
51. #15689728C22semidirect
52. #15689727C22semidirect
53. #15689724C22semidirect
63. #15689671C22semidirect
64. #15689670C22semidirect
65. #15689670C22semidirect
67. #15689668C22semidirect
68. #15689668C22semidirect
69. #15689668C22semidirect
71. #15689658C22semidirect
72. #15689654C22semidirect
81. #15689431C22semidirect
82. #15689427C22semidirect
83. #15689426C22semidirect
84. #15689425C22semidirect
85. #15689424C22semidirect
86. #15689423C22semidirect
87. #15689423C22semidirect
88. #15689422C22semidirect
89. #15689421C22semidirect
90. #15689420C22semidirect
91. #15689420C22semidirect
92. #15689420C22semidirect
93. #15689417C22semidirect
94. #15689414C22semidirect
95. #15689413C22semidirect
96. #15689412C22semidirect
97. #15689412C22semidirect
98. #15689411C22semidirect
99. #15689411C22semidirect
100. #15689411C22semidirect
101. #15689407C22semidirect
102. #15689404C22semidirect
103. #15689403C22semidirect
104. #15689402C22semidirect
105. #15689402C22semidirect
106. #15689401C22semidirect
107. #15689401C22semidirect
108. #15689401C22semidirect
109. #15689377C22semidirect
110. #15689376C22semidirect
111. #15689375C22semidirect
112. #15689375C22semidirect
113. #15689375C22semidirect
114. #15689374C22semidirect
115. #15689374C22semidirect
116. #15689374C22semidirect
117. #15689373C22semidirect
118. #15689373C22semidirect
119. #15689370C22semidirect
120. #15689369C22semidirect
121. #15689368C22semidirect
122. #15689367C22semidirect
123. #15689360C22semidirect
124. #15689359C22semidirect
125. #15689358C22semidirect
126. #15689358C22semidirect
127. #15689358C22semidirect
128. #15689357C22semidirect
129. #15689357C22semidirect
130. #15689357C22semidirect
131. #15689356C22semidirect
132. #15689356C22semidirect
133. #15689353C22semidirect
134. #15689352C22semidirect
135. #15689351C22semidirect
136. #15689350C22semidirect
137. #15689339C22semidirect
138. #15689339C22semidirect
139. #15689338C22semidirect
140. #15689338C22semidirect
141. #15689337C22semidirect
142. #15689337C22semidirect
143. #15689336C22semidirect
144. #15689336C22semidirect
145. #15689324C22semidirect
146. #15689322C22semidirect
147. #15689322C22semidirect
148. #15689320C22semidirect
151. #15689318C22semidirect
154. #15689317C22semidirect
155. #15689317C22semidirect
158. #15689316C22semidirect
159. #15689316C22semidirect
160. #15689316C22semidirect
161. #15689316C22semidirect
163. #15689315C22semidirect
164. #15689315C22semidirect
169. #15689150C22semidirect
172. #15689148C22semidirect
173. #15689148C22semidirect
174. #15689146C22semidirect
176. #15689145C22semidirect
177. C2×Dic47⋊C8C22semidirect
179. C4⋊C8×D47C22semidirect
188. C47×#540C22semidirect
189. C47×#540C22semidirect
190. C47×#478C22semidirect
191. C47×#478C22semidirect
192. C47×#478C22semidirect
193. C47×#478C22semidirect
194. C47×#469C22semidirect
195. C47×#469C22semidirect
196. C47×#466C22semidirect
197. C47×#466C22semidirect
199. C47×#459C22semidirect
200. C47×#459C22semidirect
201. C47×#459C22semidirect
202. C47×#424C22semidirect
894. #3259D47semidirect
956. #540C2×D47semidirect
957. #540C2×D47semidirect
996. #478C2×D47semidirect
997. #478C2×D47semidirect
998. #478C2×D47semidirect
999. #478C2×D47semidirect
1026. #469C2×D47semidirect
1027. #469C2×D47semidirect
1042. #466C2×D47semidirect
1043. #466C2×D47semidirect
1077. #459C2×D47semidirect
1078. #459C2×D47semidirect
1079. #459C2×D47semidirect
1089. #424C2×D47semidirect
1104. C47#60922semidirect

Maximal subgroups

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

subgroupindex
#202572602
#202568032
#202548262
#202548252
#202548232
#202548032
#202548012
#202547952
#202547932
#202547672
#202547652
#202547492
#202547432
#202547132
#202547072
#202546962
#202546942
#202532182
#202532162
#202531832
#202531732
#202530672
#202530652
#202530342
#202530312
#202528862
#202528632
#459×D472
#202519552
C47×#32592
#6092247