Finite Group Databasebeta

← #27102504

Subgroups — #27102504

Order 12032.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257707C211yesmaximal, characteristic, complemented
2#20257051C211yesmaximal, characteristic, complemented
3#20255540C211yesmaximal, characteristic, complemented
4#20255406C211yesmaximal, characteristic, complemented
5#20255388C211yesmaximal, characteristic, complemented
6#20255382C211yesmaximal, characteristic, complemented
7#20255336C211yesmaximal, characteristic, complemented
8#20255274C211yesmaximal, characteristic, complemented
9#20255197C211yesmaximal, characteristic, complemented
10#20255148C211yesmaximal, characteristic, complemented
11#20255102C211yesmaximal, characteristic, complemented
12#20255071C211yesmaximal, characteristic, complemented
13D8×D188C211yesmaximal, characteristic, complemented
14#20254925C211yesmaximal, characteristic, complemented
15#20254924C211yesmaximal, characteristic, complemented
16#20254889C211yesmaximal, characteristic, complemented
17#20254866C211yesmaximal, characteristic, complemented
18#20254481C211yesmaximal, characteristic, complemented
19#20254441C211yesmaximal, characteristic, complemented
20#20254292C211yesmaximal, characteristic, complemented
21#20254243C211yesmaximal, characteristic, complemented
22#20254157C211yesmaximal, characteristic, complemented
23#20254135C211yesmaximal, characteristic, complemented
24#20253646C211yesmaximal, characteristic, complemented
25#20253592C211yesmaximal, characteristic, complemented
26#20252697C211yesmaximal, characteristic, complemented
27#20252651C211yesmaximal, characteristic, complemented
28#20252608C211yesmaximal, characteristic, complemented
29#449×D47C211yesmaximal, characteristic, complemented
30#20252441C211yesmaximal, characteristic, complemented
31C47×#3297C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic, complemented
33C2×#41×D47C2211yescharacteristic, complemented
34C2×#13094050C2211yescharacteristic, complemented
35C2×#13094048C2211yescharacteristic, complemented
36C2×#13094046C2211yescharacteristic, complemented
37C2×#13094046C2211yescharacteristic, complemented
38C2×#13094044C2211yescharacteristic, complemented
39C2×SD16×D47C2211yescharacteristic, complemented
40C2×D8×D47C2211yescharacteristic, complemented
41C2×D8×D47C2211yescharacteristic, complemented
42#15689870—21no—
43#15689861—21no—
44#15689836C2211yescharacteristic, complemented
45#15689811C2211yescharacteristic, complemented
46#15689798—21no—
47#15689794C2211yescharacteristic, complemented
48#15689794C2211yescharacteristic, complemented
49#15689791C2211yescharacteristic, complemented
50#15689783C2211yescharacteristic, complemented
51#15689781C2211yescharacteristic
52#15689774C2211yescharacteristic, complemented
53#15689770C2211yescharacteristic, complemented
54#15689770C2211yescharacteristic, complemented
55#15689769—21no—
56#15689765—21no—
57#15689763—21no—
58#15689761C2211yescharacteristic, complemented
59D4×D188C2211yescharacteristic
60D4×D188C2211yescharacteristic, complemented
61#15689757—21no—
62D4×C22⋊D47C2211yescharacteristic, complemented
63#15689755—21no—
64#15689738C2211yescharacteristic, complemented
65#15689729C2211yescharacteristic, complemented
66#15689724—21no—
67#15689712—21no—
68#15689704C2211yescharacteristic, complemented
69#15689703C2211yescharacteristic, complemented
70#15689700—21no—
71#15689691C2211yescharacteristic, complemented
72#15689689—21no—
73#15689689C2211yescharacteristic, complemented
74#15689688—21no—
75#15689684—21no—
76#15689635C2211yescharacteristic, complemented
77#15689632C2211yescharacteristic
78#15689631—21no—
79C2×#13093997—21no—
80#121×D47C2211yescharacteristic, complemented
81#121×D47C2211yescharacteristic, complemented
82#15689602C2211yescharacteristic, complemented
83#15689513C2211yescharacteristic, complemented
84#15689511C2211yescharacteristic, complemented
85#15689504C2211yescharacteristic, complemented
86#15689500C2211yescharacteristic, complemented
87#15689489C2211yescharacteristic, complemented
88#15689484C2211yescharacteristic, complemented
89#15689468C2211yescharacteristic, complemented
90#15689463C2211yescharacteristic, complemented
91#15689460C2211yescharacteristic, complemented
92#15689449C2211yescharacteristic, complemented
93#15689447C2211yescharacteristic, complemented
94#15689443C2211yescharacteristic, complemented
95#15689438C2211yescharacteristic, complemented
96#15689438C2211yescharacteristic, complemented
97#15689436C2211yescharacteristic, complemented
98#15689435C2211yescharacteristic, complemented
99#15689435C2211yescharacteristic, complemented
100#15689427C2211yescharacteristic, complemented
101#15689417C2211yescharacteristic, complemented
102#15689401C2211yescharacteristic, complemented
103#15689374C2211yescharacteristic, complemented
104#15689372C2211yescharacteristic, complemented
105#15689371C2211yescharacteristic, complemented
106#15689370C2211yescharacteristic, complemented
107#15689363C2211yescharacteristic, complemented
108#15689360C2211yescharacteristic, complemented
109#15689360C2211yescharacteristic, complemented
110#15689359C2211yescharacteristic, complemented
111#15689359C2211yescharacteristic, complemented
112#15689358C2211yescharacteristic, complemented
113#15689357C2211yescharacteristic, complemented
114#15689357C2211yescharacteristic, complemented
115#15689353C2211yescharacteristic, complemented
116#15689351C2211yescharacteristic, complemented
117#15689344C2211yescharacteristic, complemented
118#15689342C2211yescharacteristic, complemented
119#15689341C2211yescharacteristic, complemented
120#15689341C2211yescharacteristic, complemented
121#15689336C2211yescharacteristic, complemented
122#15689324C2211yescharacteristic, complemented
123#15689324C2211yescharacteristic, complemented
124#15689318C2211yescharacteristic, complemented
125#15689318C2211yescharacteristic, complemented
126#15689317C2211yescharacteristic, complemented
127#15689317C2211yescharacteristic, complemented
128#15689288C2211yescharacteristic, complemented
129#15689286C2211yescharacteristic, complemented
130#15689286C2211yescharacteristic, complemented
131#15689283C2211yescharacteristic, complemented
132#15689280C2211yescharacteristic, complemented
133#15689275C2211yescharacteristic, complemented
134#15689275C2211yescharacteristic, complemented
135#15689275C2211yescharacteristic, complemented
136#15689272C2211yescharacteristic, complemented
137#15689271C2211yescharacteristic, complemented
138#15689271C2211yescharacteristic, complemented
139#15689270C2211yescharacteristic, complemented
140#15689270C2211yescharacteristic, complemented
141#15689270C2211yescharacteristic, complemented
142#15689270C2211yescharacteristic, complemented
143#15689269C2211yescharacteristic, complemented
144#15689269C2211yescharacteristic, complemented
145#15689269C2211yescharacteristic, complemented
146#15689268C2211yescharacteristic, complemented
147#15689267C2211yescharacteristic, complemented
148#15689266C2211yescharacteristic, complemented
149#15689266C2211yescharacteristic, complemented
150#15689266C2211yescharacteristic, complemented
151#15689265C2211yescharacteristic
152#15689263C2211yescharacteristic, complemented
153#15689258C2211yescharacteristic, complemented
154#15689258C2211yescharacteristic, complemented
155#15689258C2211yescharacteristic, complemented
156#15689258C2211yescharacteristic, complemented
157#15689258C2211yescharacteristic, complemented
158#15689258C2211yescharacteristic, complemented
159#15689257C2211yescharacteristic, complemented
160#15689255C2211yescharacteristic, complemented
161#15689255C2211yescharacteristic, complemented
162#15689232C2211yescharacteristic, complemented
163#15689223C2211yescharacteristic, complemented
164#15689223C2211yescharacteristic, complemented
165#15689222C2211yescharacteristic, complemented
166C4×Dic188C2211yescharacteristic, complemented
167#15689210C2211yescharacteristic, complemented
168#15689203C2211yescharacteristic, complemented
169#15689197C2211yescharacteristic, complemented
170#15689195C2211yescharacteristic, complemented
171#15689194C2211yescharacteristic, complemented
172#15689193C2211yescharacteristic, complemented
173C8×D188C2211yescharacteristic, complemented
174C8×C22⋊D47C2211yescharacteristic, complemented
175(C22⋊D47)⋊C8C2211yescharacteristic, complemented
176#15689183C2211yescharacteristic, complemented
177#15689182C2211yescharacteristic, complemented
178#15689126C2211yescharacteristic, complemented
179#15689122C2211yescharacteristic, complemented
180#15689117C2211yescharacteristic, complemented
181#15689116C2211yescharacteristic, complemented
182#103×D47C2211yescharacteristic, complemented
183#102×D47C2211yescharacteristic, complemented
184#15689089C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C47×#553C2211yescharacteristic, complemented
189C47×#546C2211yescharacteristic, complemented
190C47×#488C2211yescharacteristic, complemented
191C47×#484C2211yescharacteristic, complemented
192C47×#482C2211yescharacteristic, complemented
193C47×#478C2211yescharacteristic, complemented
194C47×#466C2211yescharacteristic, complemented
195C47×#465C2211yescharacteristic, complemented
196C47×#463C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic, complemented
198C47×#447C2211yescharacteristic, complemented
199C4×D8×C47C2211yescharacteristic, complemented
200C8×D4×C47C2211yescharacteristic, complemented
201C47×#416C2211yescharacteristic, complemented
202C2×#102×C47C2211yescharacteristic, complemented
203#13094069—42no—
204#13094069—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625350—21no—
207C2×#10625350—21no—
208C2×#10625350C2311yescharacteristic
209C2×#10625350C2311yescharacteristic
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625352—21no—
214C2×#10625352—21no—
215C2×#10625352C2311yescharacteristic
216C2×#10625352C2311yescharacteristic
217#41×D47—42no—
218#41×D47—42no—
219C2×Q8×D47C2311yescharacteristic
220C22×D188—21no—
221C22×D188—21no—
222C22×C22⋊D47—21no—
223C22×C22⋊D47—21no—
224C22×C22⋊D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47—21no—
228C2×D4×D47—21no—
229C2×D4×D47C2311yescharacteristic
230C2×D4×D47C2311yescharacteristic
231C2×D4×D47C2311yescharacteristic
232C2×D4×D47C2311yescharacteristic
233C2×D4×D47C2311yescharacteristic
234C22×C4×D47—21no—
235C22×C4×D47C2311yescharacteristic
236#13094050—42no—
237#13094048—42no—
238#13094046—42no—
239#13094046—42no—
240#13094044—42no—
241C2×Dic188C2311yescharacteristic
242C2×#10625337C2311yescharacteristic
243C2×#10625325C2311yescharacteristic
244C2×#10625325C2311yescharacteristic
245C2×#10625325C2311yescharacteristic
246C2×#10625325C2311yescharacteristic
247C2×#10625335C2311yescharacteristic
248C2×#10625335C2311yescharacteristic
249C2×#10625335C2311yescharacteristic
250C2×#10625336C2311yescharacteristic
251C2×#10625336C2311yescharacteristic
252SD16×D47—42no—
253C2×D376C2311yescharacteristic
254C2×D376C2311yescharacteristic
255C2×D376C2311yescharacteristic
256C2×D376C2311yescharacteristic
257C2×#10625334C2311yescharacteristic
258C2×#10625334C2311yescharacteristic
259C2×#10625334C2311yescharacteristic
260C2×#10625334C2311yescharacteristic
261C2×#10625334C2311yescharacteristic
262C2×#10625334C2311yescharacteristic
263D8×D47—42no—
264D8×D47—42no—
265C2×#10625329C2311yescharacteristic
266C2×#10625324C2311yescharacteristic
267C22×C47⋊C8C2311yescharacteristic
268C2×C8×D47C2311yescharacteristic
269C2×C8×D47C2311yescharacteristic
270C2×C8×D47C2311yescharacteristic
271#13094023C2311yescharacteristic
272#13094021C2311yescharacteristic
273#13094021C2311yescharacteristic
274#13094020—21no—
275#13094020—21no—
276#13094020—21no—
277#13094020—21no—
278#13094020C2311yescharacteristic
279#13094019—21no—
280#13094017—21no—
281#13094015—21no—
282#13094013C2311yescharacteristic
283#13094012—21no—
284#13094011C2311yescharacteristic
285#13094010—21no—
286#13094010—21no—
287#13094010—21no—
288#13094010—21no—
289#13094010—21no—
290#13094009—21no—
291#13094009—21no—
292#13094009—21no—
293#13094009—21no—
294#13094009D411yescharacteristic
295#13094008—21no—
296#13094007—21no—
297#13094007—21no—
298#13094007—21no—
299#13094006—21no—
300#13094006—21no—
301#13094006D411yescharacteristic
302#13094004—21no—
303#13094004C2311yescharacteristic
304#13094004C2311yescharacteristic
305#13094004C2311yescharacteristic
306#13094003—21no—
307#13094002—21no—
308#13094002—21no—
309#13094002—21no—
310#13094002D411yescharacteristic
311#13094001—21no—
312#13094001D411yescharacteristic
313#13094000C2311yescharacteristic
314#13093999—21no—
315#13093999—21no—
316#13093999—21no—
317#13093999—21no—
318#13093999C2311yescharacteristic
319#13093999C2311yescharacteristic
320#13093999C2311yescharacteristic
321#13093999C2311yescharacteristic
322#13093999C2311yescharacteristic
323#13093999C2311yescharacteristic
324#13093998—21no—
325#13093998—21no—
326#13093998—21no—
327#13093998—21no—
328#13093998C2311yescharacteristic
329#13093998C2311yescharacteristic
330#13093998C2311yescharacteristic
331#13093998C2311yescharacteristic
332#13093997—21no—
333#13093997—21no—
334#13093997—21no—
335#13093997—21no—
336#13093997—21no—
337#13093997—21no—
338#13093997—21no—
339#13093997—21no—
340#13093997—21no—
341#13093997—21no—
342#13093997—21no—
343#13093997—21no—
344#13093997—21no—
345#13093997—21no—
346#13093997D411yescharacteristic
347#13093996—21no—
348#13093996—21no—
349#13093996—21no—
350#13093996—21no—
351#13093996—21no—
352#13093996D411yescharacteristic
353#13093995—21no—
354#13093995—21no—
355#13093995C2311yescharacteristic
356#13093995C2311yescharacteristic
357#13093994—21no—
358#13093994—21no—
359#13093994—21no—
360#13093994—21no—
361#13093994—21no—
362#13093994—21no—
363#13093994—21no—
364#13093994—21no—
365#13093994D411yescharacteristic
366#13093993—21no—
367#13093992—21no—
368#13093992—21no—
369#13093992—21no—
370#13093992—21no—
371#13093992—21no—
372#13093992D411yescharacteristic
373C4×Dic94C2311yescharacteristic
374C4×Dic94C2311yescharacteristic
375#13093989C2311yescharacteristic
376C4×D188—21no—
377C4×D188—21no—
378C4×D188C2311yescharacteristic
379D4×Dic47C2311yescharacteristic
380#13093986—21no—
381#13093986—21no—
382#13093986—21no—
383#13093986C2311yescharacteristic
384#13093986C2311yescharacteristic
385C4×C22⋊D47—21no—
386C4×C22⋊D47C2311yescharacteristic
387C4×C22⋊D47C2311yescharacteristic
388(C22⋊D47)⋊C4—21no—
389(C22⋊D47)⋊C4—21no—
390(C22⋊D47)⋊C4—21no—
391#13093982—21no—
392#13093982C2311yescharacteristic
393#13093981—21no—
394#13093981C2311yescharacteristic
395#13093980—21no—
396C2×Dic47⋊C4—21no—
397C4⋊C4×D47C2311yescharacteristic
398C4⋊C4×D47C2311yescharacteristic
399C2×(C2×D47)⋊C4—21no—
400C22⋊C4×D47—21no—
401C22⋊C4×D47—21no—
402C22⋊C4×D47—21no—
403C22⋊C4×D47—21no—
404#13093958C2311yescharacteristic
405#13093957C2311yescharacteristic
406#13093957C2311yescharacteristic
407#13093957C2311yescharacteristic
408#13093955C2311yescharacteristic
409C4⋊(C47⋊C8)C2311yescharacteristic
410Dic47⋊C8C2311yescharacteristic
411Dic47⋊C8C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093949C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093944C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433#13093944C2311yescharacteristic
434C22⋊(C47⋊C8)C2311yescharacteristic
435C22⋊(C47⋊C8)C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442(C2×D47)⋊C8C2311yescharacteristic
443(C2×D47)⋊C8C2311yescharacteristic
444#13093935C2311yescharacteristic
445#13093934C2311yescharacteristic
446C8×Dic47C2311yescharacteristic
447C2×#41×C47C2311yescharacteristic
448C22×D4×C47C2311yescharacteristic
449C2×SD16×C47C2311yescharacteristic
450C2×D8×C47C2311yescharacteristic
451C2×D8×C47C2311yescharacteristic
452C22×C8×C47C2311yescharacteristic
453C22×C8×C47C2311yescharacteristic
454#126×C47—21no—
455#125×C47C2311yescharacteristic
456#124×C47C2311yescharacteristic
457#123×C47—21no—
458#123×C47—21no—
459C22⋊Q8×C47C2311yescharacteristic
460#121×C47—21no—
461#121×C47—21no—
462#121×C47C2311yescharacteristic
463#121×C47C2311yescharacteristic
464#121×C47C2311yescharacteristic
465#120×C47—21no—
466C4×D4×C47—21no—
467C4×D4×C47C2311yescharacteristic
468C4×D4×C47C2311yescharacteristic
469C4×D4×C47C2311yescharacteristic
470#117×C47C2311yescharacteristic
471C2×C4⋊C4×C47C2311yescharacteristic
472C2×C22⋊C4×C47—21no—
473#107×C47C2311yescharacteristic
474#107×C47C2311yescharacteristic
475#106×C47C2311yescharacteristic
476C4⋊C8×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486#102×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C4×C8×C47C2311yescharacteristic
490C24×C47—21no—
491C23×D47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47C2×D411yescharacteristic
497#41×C47—22no—
498#41×C47—41no—
499C2×Q8×C47C2411yescharacteristic
500C2×D4×C47—22no—
501C2×D4×C47—21no—
502C2×D4×C47—21no—
503C2×D4×C47—21no—
504C2×D4×C47—21no—
505C2×D4×C47—21no—
506C2×D4×C47—41no—
507C2×D4×C47C2×D411yescharacteristic
508C2×D4×C47C2411yescharacteristic
509C2×D4×C47C2411yescharacteristic
510C2×D4×C47C2411yescharacteristic
511C22×C4×C47—21no—
512C22×C4×C47—21no—
513C22×C4×C47—21no—
514C22×C4×C47—21no—
515C22×C4×C47C2411yescharacteristic
516C22×C4×C47C2411yescharacteristic
517C2×C22⋊D47—21no—
518C2×C22⋊D47—21no—
519C2×C22⋊D47—21no—
520C2×C22⋊D47—21no—
521C2×C22⋊D47—21no—
522C2×C22⋊D47—21no—
523C2×C22⋊D47—21no—
524C2×C22⋊D47—21no—
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531C2×C22⋊D47—21no—
532C2×C22⋊D47—21no—
533C2×C22⋊D47—21no—
534C2×C22⋊D47—21no—
535C2×C22⋊D47—21no—
536C2×C22⋊D47—44no—
537C2×C22⋊D47—44no—
538C2×C22⋊D47—82no—
539C2×C22⋊D47C2×D411yescharacteristic
540C2×C22⋊D47C2×D411yescharacteristic
541C2×C22⋊D47C2×D411yescharacteristic
542C2×C22⋊D47C2×D411yescharacteristic
543C22×Dic47—21no—
544C22×Dic47—21no—
545C22×Dic47—21no—
546C22×Dic47C2×D411yescharacteristic
547#10625354—41no—
548#10625354—41no—
549Q8×D47—22no—
550Q8×D47—41no—
551#10625352—22no—
552#10625352—22no—
553#10625352—22no—
554#10625352—41no—
555#10625352—44no—
556#10625352—44no—
557D4×D47—22no—
558D4×D47—22no—
559D4×D47—41no—
560D4×D47—41no—
561D4×D47—41no—
562D4×D47—41no—
563D4×D47—41no—
564D4×D47—41no—
565D4×D47—41no—
566D4×D47—41no—
567D4×D47—44no—
568D4×D47—44no—
569D4×D47—82no—
570D4×D47—82no—
571#10625350—22no—
572#10625350—22no—
573#10625350—41no—
574#10625350—41no—
575#10625350—41no—
576#10625350—41no—
577#10625350—41no—
578#10625350—41no—
579#10625350—41no—
580#10625350—41no—
581#10625350—44no—
582#10625350—82no—
583C2×D188—21no—
584C2×D188—21no—
585C2×D188—21no—
586C2×D188—21no—
587C2×D188—21no—
588C2×D188—21no—
589C2×D188—21no—
590C2×D188—21no—
591C2×D188—21no—
592C2×D188—21no—
593C2×D188—21no—
594C2×D188—82no—
595C2×D188—82no—
596C2×D188C2×D411yescharacteristic
597C2×D188C2×D411yescharacteristic
598C2×D188C2411yescharacteristic
599C2×D188C2411yescharacteristic
600C2×D188C2411yescharacteristic
601C2×D188C2411yescharacteristic
602C2×C4×D47—21no—
603C2×C4×D47—21no—
604C2×C4×D47—21no—
605C2×C4×D47—21no—
606C2×C4×D47—21no—
607C2×C4×D47—21no—
608C2×C4×D47—21no—
609C2×C4×D47—21no—
610C2×C4×D47—21no—
611C2×C4×D47—21no—
612C2×C4×D47—41no—
613C2×C4×D47—41no—
614C2×C4×D47—44no—
615C2×C4×D47C2×D411yescharacteristic
616C2×C4×D47C2×D411yescharacteristic
617C2×C4×D47C2411yescharacteristic
618C2×C4×D47C2411yescharacteristic
619C2×C4×D47C2411yescharacteristic
620C2×Dic94—21no—
621C2×Dic94—21no—
622C2×Dic94C2×D411yescharacteristic
623C2×Dic94C2411yescharacteristic
624C2×Dic94C2411yescharacteristic
625SD16×C47—41no—
626D8×C47—22no—
627D8×C47—41no—
628C2×C8×C47—41no—
629C2×C8×C47—41no—
630C2×C8×C47C2411yescharacteristic
631C2×C8×C47C2411yescharacteristic
632C2×C8×C47C2411yescharacteristic
633C2×C8×C47C2411yescharacteristic
634C4⋊C4×C47—21no—
635C4⋊C4×C47—21no—
636C4⋊C4×C47—21no—
637C4⋊C4×C47—21no—
638C4⋊C4×C47C2×D411yescharacteristic
639C4⋊C4×C47C2411yescharacteristic
640C4⋊C4×C47C2411yescharacteristic
641C4⋊C4×C47C2411yescharacteristic
642C4⋊C4×C47C2411yescharacteristic
643C22⋊C4×C47—21no—
644C22⋊C4×C47—21no—
645C22⋊C4×C47—21no—
646C22⋊C4×C47—21no—
647C22⋊C4×C47—21no—
648C22⋊C4×C47—21no—
649C22⋊C4×C47—21no—
650C22⋊C4×C47—21no—
651C22⋊C4×C47—21no—
652C22⋊C4×C47C2×D411yescharacteristic
653C22⋊C4×C47C2×D411yescharacteristic
654C42×C47—21no—
655C42×C47C2411yescharacteristic
656C22⋊Dic47—21no—
657C22⋊Dic47—21no—
658C22⋊Dic47—21no—
659C22⋊Dic47—21no—
660C22⋊Dic47—21no—
661C22⋊Dic47C2×D411yescharacteristic
662C22⋊Dic47C2×D411yescharacteristic
663#10625337—41no—
664#10625336—41no—
665#10625336—41no—
666#10625335—22no—
667#10625335—22no—
668#10625335—41no—
669#10625334—22no—
670#10625334—22no—
671#10625334—41no—
672#10625334—41no—
673#10625334—41no—
674#10625334—41no—
675(C2×D47)⋊C4—21no—
676(C2×D47)⋊C4—21no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4—21no—
682(C2×D47)⋊C4—21no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4—21no—
689(C2×D47)⋊C4—21no—
690(C2×D47)⋊C4—21no—
691(C2×D47)⋊C4—21no—
692(C2×D47)⋊C4—21no—
693(C2×D47)⋊C4—21no—
694(C2×D47)⋊C4C2×D411yescharacteristic
695(C2×D47)⋊C4C2×D411yescharacteristic
696(C2×D47)⋊C4C2×D411yescharacteristic
697(C2×D47)⋊C4C2×D411yescharacteristic
698(C2×D47)⋊C4C2×D411yescharacteristic
699(C2×D47)⋊C4C2×D411yescharacteristic
700C4⋊Dic47—21no—
701C4⋊Dic47—21no—
702C4⋊Dic47—21no—
703C4⋊Dic47C2×D411yescharacteristic
704C4⋊Dic47C2411yescharacteristic
705C4⋊Dic47C2411yescharacteristic
706Dic47⋊C4—21no—
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4C2×D411yescharacteristic
714Dic47⋊C4C2×D411yescharacteristic
715Dic47⋊C4C2×D411yescharacteristic
716Dic47⋊C4C2×D411yescharacteristic
717C4×Dic47—21no—
718C4×Dic47—21no—
719C4×Dic47—21no—
720C4×Dic47—21no—
721C4×Dic47C2411yescharacteristic
722#10625329—41no—
723C2×C47⋊C8—41no—
724C2×C47⋊C8C2411yescharacteristic
725C2×C47⋊C8C2411yescharacteristic
726C2×C47⋊C8C2411yescharacteristic
727C2×C47⋊C8C2411yescharacteristic
728Dic188—22no—
729D376—41no—
730D376—41no—
731D376—41no—
732D376—41no—
733#10625325—22no—
734#10625325—22no—
735#10625325—41no—
736#10625325—41no—
737#10625324—41no—
738C8×D47—41no—
739C8×D47—41no—
740C8×D47—41no—
741C23×C47—21no—
742C23×C47—21no—
743C23×C47—21no—
744C23×C47—42no—
745C23×C47—81no—
746C23×C47—81no—
747C23×C47C22×D411yescharacteristic
748C23×C47C22×D411yescharacteristic
749C22×D47—22no—
750C22×D47—21no—
751C22×D47—21no—
752C22×D47—21no—
753C22×D47—21no—
754C22×D47—41no—
755C22×D47—41no—
756C22×D47—42no—
757C22×D47—42no—
758C22×D47—42no—
759C22×D47—42no—
760C22×D47—42no—
761C22×D47—81no—
762C22×D47—81no—
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×D47C22×D411yescharacteristic
772C22×D47C22×D411yescharacteristic
773C22×D47C22×D411yescharacteristic
774Q8×C47—21no—
775Q8×C47—21no—
776D4×C47—21no—
777D4×C47—21no—
778D4×C47—21no—
779D4×C47—21no—
780D4×C47—21no—
781D4×C47—41no—
782D4×C47—42no—
783D4×C47—42no—
784D4×C47—81no—
785D4×C47—81no—
786D4×C47—81no—
787D4×C47H(5,𝔽2)12yes—
788C2×C4×C47—21no—
789C2×C4×C47—21no—
790C2×C4×C47—21no—
791C2×C4×C47—21no—
792C2×C4×C47—21no—
793C2×C4×C47—21no—
794C2×C4×C47—21no—
795C2×C4×C47—21no—
796C2×C4×C47—21no—
797C2×C4×C47—42no—
798C2×C4×C47—81no—
799C2×C4×C47—81no—
800C2×C4×C47—81no—
801C2×C4×C47C22×D411yescharacteristic
802C2×C4×C47C22×D411yescharacteristic
803C2×C4×C47C22×D411yescharacteristic
804C2×C4×C47C22×D411yescharacteristic
805C2×C4×C47C2511yescharacteristic
806C22⋊D47—24no—
807C22⋊D47—22no—
808C22⋊D47—41no—
809C22⋊D47—41no—
810C22⋊D47—41no—
811C22⋊D47—42no—
812C22⋊D47—42no—
813C22⋊D47—42no—
814C22⋊D47—42no—
815C22⋊D47—42no—
816C22⋊D47—42no—
817C22⋊D47—42no—
818C22⋊D47—81no—
819C22⋊D47—81no—
820C22⋊D47—81no—
821C22⋊D47—81no—
822C22⋊D47—81no—
823C22⋊D47—81no—
824C22⋊D47—81no—
825C22⋊D47—81no—
826C22⋊D47—81no—
827C22⋊D47—81no—
828C22⋊D47—81no—
829C2×Dic47—24no—
830C2×Dic47—21no—
831C2×Dic47—21no—
832C2×Dic47—21no—
833C2×Dic47—21no—
834C2×Dic47—41no—
835C2×Dic47—42no—
836C2×Dic47—81no—
837C2×Dic47C22×D411yescharacteristic
838C2×Dic47C22×D411yescharacteristic
839C2×Dic47C22×D411yescharacteristic
840C2×Dic47C22×D411yescharacteristic
841C2×Dic47C22×D411yescharacteristic
842D188—22no—
843D188—21no—
844D188—21no—
845D188—21no—
846D188—21no—
847D188—21no—
848D188—21no—
849D188—21no—
850D188—21no—
851D188—41no—
852D188—42no—
853D188—42no—
854D188—42no—
855D188—81no—
856D188—81no—
857D188—81no—
858D188—81no—
859D188—81no—
860D188—81no—
861D188—81no—
862D188—81no—
863C4×D47—21no—
864C4×D47—21no—
865C4×D47—21no—
866C4×D47—21no—
867C4×D47—21no—
868C4×D47—21no—
869C4×D47—41no—
870C4×D47—41no—
871C4×D47—42no—
872C4×D47—42no—
873C4×D47—42no—
874C4×D47—42no—
875C4×D47—42no—
876C4×D47—81no—
877C4×D47—81no—
878C4×D47—81no—
879C4×D47—81no—
880C4×D47—81no—
881Dic94—21no—
882Dic94—21no—
883Dic94—21no—
884Dic94—41no—
885Dic94—42no—
886Dic94—81no—
887Dic94H(5,𝔽2)12yes—
888C8×C47—21no—
889C8×C47—21no—
890C8×C47—21no—
891C8×C47—21no—
892C47⋊C8—21no—
893C47⋊C8—21no—
894C47⋊C8—21no—
895C47⋊C8—21no—
896#61639—471nomaximal, Sylow
897C22×C47—21no—
898C22×C47—21no—
899C22×C47—22no—
900C22×C47—21no—
901C22×C47—21no—
902C22×C47—21no—
903C22×C47—21no—
904C22×C47—41no—
905C22×C47—41no—
906C22×C47—41no—
907C22×C47—41no—
908C22×C47—41no—
909C22×C47—41no—
910C22×C47—41no—
911C22×C47—41no—
912C22×C47—162no—
913C22×C47C23×D411yescharacteristic
914C2×D47—21no—
915C2×D47—21no—
916C2×D47—21no—
917C2×D47—21no—
918C2×D47—21no—
919C2×D47—21no—
920C2×D47—21no—
921C2×D47—21no—
922C2×D47—41no—
923C2×D47—41no—
924C2×D47—41no—
925C2×D47—41no—
926C2×D47—41no—
927C2×D47—41no—
928C2×D47—41no—
929C2×D47—41no—
930C2×D47—41no—
931C2×D47—41no—
932C2×D47—41no—
933C2×D47—41no—
934C2×D47—82no—
935C2×D47—84no—
936C2×D47—162no—
937C2×D47—162no—
938C2×D47—162no—
939C2×D47—162no—
940C2×D47#57612yes—
941C4×C47—21no—
942C4×C47—21no—
943C4×C47—21no—
944C4×C47—21no—
945C4×C47—41no—
946C4×C47—41no—
947C4×C47—41no—
948C4×C47—41no—
949C4×C47—41no—
950C4×C47C2×H(5,𝔽2)11yescharacteristic
951C4×C47C2×H(5,𝔽2)11yescharacteristic
952Dic47—21no—
953Dic47—22no—
954Dic47—21no—
955Dic47—21no—
956Dic47—21no—
957Dic47—21no—
958Dic47—41no—
959Dic47—41no—
960Dic47—41no—
961#3542—471no—
962#3488—471no—
963#3319—471no—
964#3310—471no—
965#3309—471no—
966#3308—471no—
967#3305—471no—
968#3300—471no—
969#3297D4711yescharacteristic, complemented
970#3294—471no—
971#3287—471no—
972#3282—471no—
973#3280—471no—
974D4×D8—471no—
975#3268—471no—
976#3268—471no—
977#3265—471no—
978#3264—471no—
979#3224—471no—
980#3220—471no—
981#3203—471no—
982#3198—471no—
983#3188—471no—
984#3186—471no—
985#3124—471no—
986#3119—471no—
987#3012—471no—
988#3008—471no—
989#3002—471no—
990C2×#449—471no—
991#2977—471no—
992C2×C47—42no—
993C2×C47—41no—
994C2×C47—41no—
995C2×C47—81no—
996C2×C47—81no—
997C2×C47#348411yescharacteristic
998C2×C47C2×#57611yescharacteristic
999C2×C47#358411yescharacteristic
1000D47—22no—
1001D47—41no—
1002D47—41no—
1003D47—81no—
1004D47—81no—
1005D47—81no—
1006D47—81no—
1007C2×H(5,𝔽2)—471no—
1008C22×#41—471no—
1009C2×AGL(1,ℤ/8)—471no—
1010C2×AGL(1,ℤ/8)—471no—
1011C2×#135—471no—
1012C2×#135—471no—
1013C2×#135—471no—
1014C22×SD16—471no—
1015C22×D8—471no—
1016C22×D8—471no—
1017#562—941no—
1018#560—941no—
1019#555—471no—
1020#553C2×D4711yescharacteristic, complemented
1021#552—471no—
1022#551—941no—
1023#550—471no—
1024#550—471no—
1025#550—471no—
1026#548—471no—
1027#548—471no—
1028#547—471no—
1029#546—471no—
1030#546—471no—
1031#546—471no—
1032#546—941no—
1033#546—941no—
1034#546—941no—
1035#546C2×D4711yescharacteristic, complemented
1036D42—471no—
1037D42—471no—
1038D42—471no—
1039D42—941no—
1040D42—941no—
1041#542—471no—
1042#540—471no—
1043#540—941no—
1044#538—941no—
1045#537—471no—
1046#537—471no—
1047#537—941no—
1048#535—471no—
1049#535—471no—
1050#535—941no—
1051#535—941no—
1052#534—941no—
1053#525—471no—
1054#525—471no—
1055#525—941no—
1056C2×#121—471no—
1057C2×#121—471no—
1058C2×#121—941no—
1059#520—471no—
1060#496—471no—
1061#496—471no—
1062#495—471no—
1063#493—471no—
1064#490—471no—
1065#489—471no—
1066#488C2×D4711yescharacteristic, complemented
1067#486—471no—
1068#485—471no—
1069#484—471no—
1070#484C2×D4711yescharacteristic, complemented
1071#482—471no—
1072#482—471no—
1073#482C2×D4711yescharacteristic, complemented
1074#481—471no—
1075#480—471no—
1076#480—471no—
1077#480—471no—
1078#480—471no—
1079#480—471no—
1080#479—471no—
1081#478C2×D4711yescharacteristic, complemented
1082#477—471no—
1083#474—471no—
1084#469—471no—
1085#468—471no—
1086#468—471no—
1087#468—471no—
1088#467—471no—
1089#466—471no—
1090#466—471no—
1091#466—471no—
1092#466—471no—
1093#466—471no—
1094#466—471no—
1095#466—471no—
1096#466C2×D4711yescharacteristic, complemented
1097#465—471no—
1098#465—471no—
1099#465C2×D4711yescharacteristic, complemented
1100#464—471no—
1101#464—471no—
1102#463—471no—
1103#463—471no—
1104#463—471no—
1105#463C2×D4711yescharacteristic, complemented
1106#460—471no—
1107#460—471no—
1108#459—471no—
1109#459—471no—
1110#459—471no—
1111#459—471no—
1112#452—471no—
1113#452—471no—
1114#452—471no—
1115#452—471no—
1116#451—471no—
1117#450—471no—
1118#450—471no—
1119#450—471no—
1120#450—471no—
1121#449—471no—
1122#449—471no—
1123#449—471no—
1124#449—471no—
1125#449—471no—
1126#449—471no—
1127#449—471no—
1128#449—471no—
1129#449—471no—
1130#449—471no—
1131#449—471no—
1132#449—471no—
1133#449—471no—
1134#449—471no—
1135#449—471no—
1136#449C2×D4711yescharacteristic, complemented
1137#448—471no—
1138#447—471no—
1139#447—471no—
1140#447—471no—
1141#447—471no—
1142#447—471no—
1143#447—471no—
1144#447—471no—
1145#447—471no—
1146#447—471no—
1147#447C2×D4711yescharacteristic, complemented
1148#442—471no—
1149#440—471no—
1150#440—471no—
1151#440—471no—
1152C4×Q16—471no—
1153C4×SD16—471no—
1154C4×D8—471no—
1155C4×D8C2×D4711yescharacteristic, complemented
1156#435—471no—
1157#435—471no—
1158#435—471no—
1159#435—471no—
1160C8×D4—471no—
1161C8×D4—471no—
1162C8×D4—471no—
1163C8×D4C2×D4711yescharacteristic, complemented
1164#433—471no—
1165#433—471no—
1166#418—471no—
1167#417—471no—
1168#416—471no—
1169#416—471no—
1170#416C2×D4711yescharacteristic, complemented
1171C2×#103—471no—
1172C2×#102—471no—
1173C2×#102C2×D4711yescharacteristic, complemented
1174#408—471no—
1175#408—471no—
1176C2×C22⋊C8—471no—
1177C2×C22⋊C8—471no—
1178C47#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—1882no—
1180H(5,𝔽2)—1882no—
1181C2×#41—471no—
1182C2×#41—471no—
1183C2×#41—471no—
1184C2×#41—471no—
1185C2×#41—471no—
1186C2×#41—471no—
1187C2×#41—471no—
1188C2×#41—471no—
1189C2×#41—941no—
1190C2×#41—941no—
1191C2×#41—941no—
1192C2×#41—941no—
1193C2×#41—1882no—
1194C2×#41—1882no—
1195C2×#41C22×D4711yescharacteristic
1196C22×Q8—471no—
1197C22×D4—471no—
1198C22×D4—471no—
1199C22×D4—471no—
1200C22×D4—471no—
1201C22×D4—471no—
1202C22×D4—941no—
1203C22×D4—941no—
1204C22×D4—941no—
1205C22×D4—941no—
1206C22×D4—941no—
1207C22×D4—941no—
1208C22×D4—941no—
1209C22×D4—941no—
1210C22×D4—941no—
1211C22×D4C22×D4711yescharacteristic
1212C23×C4—471no—
1213C23×C4—941no—
1214AGL(1,ℤ/8)—1882no—
1215AGL(1,ℤ/8)—1882no—
1216#135—1882no—
1217#135—1882no—
1218#135—1882no—
1219C2×Q16—471no—
1220C2×Q16—471no—
1221C2×SD16—471no—
1222C2×SD16—471no—
1223C2×SD16—471no—
1224C2×SD16—471no—
1225C2×SD16—471no—
1226C2×SD16—471no—
1227C2×SD16—471no—
1228C2×SD16—471no—
1229C2×SD16—471no—
1230C2×SD16—1882no—
1231C2×SD16C22×D4711yescharacteristic
1232C2×D8—471no—
1233C2×D8—471no—
1234C2×D8—471no—
1235C2×D8—471no—
1236C2×D8—471no—
1237C2×D8—471no—
1238C2×D8—471no—
1239C2×D8—471no—
1240C2×D8—471no—
1241C2×D8—471no—
1242C2×D8—1882no—
1243C2×D8—1882no—
1244C2×D8C22×D4711yescharacteristic
1245C2×D8C22×D4711yescharacteristic
1246C2×M16—471no—
1247C2×M16—471no—
1248C22×C8—471no—
1249C22×C8—471no—
1250C22×C8—471no—
1251C22×C8—471no—
1252C22×C8C22×D4711yescharacteristic
1253C22×C8C22×D4711yescharacteristic
1254C4⋊Q8—471no—
1255#127—471no—
1256#127—471no—
1257#127—471no—
1258#127—941no—
1259#127—941no—
1260#127—941no—
1261#127—941no—
1262#126—21no—
1263#126—941no—
1264#126—941no—
1265#125—941no—
1266#125C22×D4711yescharacteristic
1267#124—471no—
1268#124—471no—
1269#124—941no—
1270#124—941no—
1271#124—941no—
1272#124—941no—
1273#124—941no—
1274#124—941no—
1275#124C22×D4711yescharacteristic
1276#123—21no—
1277#123—21no—
1278#123—471no—
1279#123—471no—
1280#123—941no—
1281#123—941no—
1282#123—941no—
1283#123—941no—
1284#123—941no—
1285#123—941no—
1286#123—941no—
1287#123—941no—
1288#123—941no—
1289#123—941no—
1290C22⋊Q8—471no—
1291C22⋊Q8—471no—
1292C22⋊Q8—471no—
1293C22⋊Q8—471no—
1294C22⋊Q8—471no—
1295C22⋊Q8—471no—
1296C22⋊Q8—941no—
1297C22⋊Q8—941no—
1298C22⋊Q8—941no—
1299C22⋊Q8—941no—
1300C22⋊Q8—941no—
1301C22⋊Q8—941no—
1302C22⋊Q8C22×D4711yescharacteristic
1303#121—21no—
1304#121—21no—
1305#121—471no—
1306#121—471no—
1307#121—471no—
1308#121—471no—
1309#121—471no—
1310#121—471no—
1311#121—471no—
1312#121—471no—
1313#121—471no—
1314#121—471no—
1315#121—471no—
1316#121—471no—
1317#121—471no—
1318#121—471no—
1319#121—941no—
1320#121—941no—
1321#121—941no—
1322#121—941no—
1323#121—941no—
1324#121—941no—
1325#121—941no—
1326#121—941no—
1327#121—941no—
1328#121—941no—
1329#121—941no—
1330#121—941no—
1331#121—941no—
1332#121—941no—
1333#121—941no—
1334#121—941no—
1335#121—941no—
1336#121—941no—
1337#121—941no—
1338#121—941no—
1339#121—941no—
1340#121—941no—
1341#121—941no—
1342#121—941no—
1343#121—941no—
1344#121—941no—
1345#121—941no—
1346#121—941no—
1347#121—941no—
1348#121C22×D4711yescharacteristic
1349#121C22×D4711yescharacteristic
1350#121C22×D4711yescharacteristic
1351#120—21no—
1352#120—471no—
1353#120—471no—
1354#120—941no—
1355#120—941no—
1356#120—941no—
1357#120—941no—
1358#120—941no—
1359#120—941no—
1360#120—941no—
1361#120—941no—
1362#120—941no—
1363#120—941no—
1364#120—941no—
1365#120—941no—
1366#120—941no—
1367#120—941no—
1368C4×Q8—471no—
1369C4×Q8—471no—
1370C4×Q8—471no—
1371C4×D4—21no—
1372C4×D4—471no—
1373C4×D4—471no—
1374C4×D4—471no—
1375C4×D4—471no—
1376C4×D4—471no—
1377C4×D4—471no—
1378C4×D4—941no—
1379C4×D4—941no—
1380C4×D4—941no—
1381C4×D4—941no—
1382C4×D4—941no—
1383C4×D4—941no—
1384C4×D4—941no—
1385C4×D4—941no—
1386C4×D4—941no—
1387C4×D4C22×D4711yescharacteristic
1388C4×D4C22×D4711yescharacteristic
1389C4×D4C22×D4711yescharacteristic
1390#117—471no—
1391#117—471no—
1392#117—941no—
1393#117—941no—
1394#117—941no—
1395#117C22×D4711yescharacteristic
1396C2×C4⋊C4—471no—
1397C2×C4⋊C4—471no—
1398C2×C4⋊C4—941no—
1399C2×C4⋊C4C22×D4711yescharacteristic
1400C2×C22⋊C4—21no—
1401C2×C22⋊C4—941no—
1402C2×C22⋊C4—941no—
1403C2×C22⋊C4—941no—
1404C2×C22⋊C4—941no—
1405C2×C22⋊C4—941no—
1406#107—471no—
1407#107—471no—
1408#107—471no—
1409#107—471no—
1410#107C22×D4711yescharacteristic
1411#107C22×D4711yescharacteristic
1412#106—471no—
1413#106C22×D4711yescharacteristic
1414C4⋊C8—471no—
1415C4⋊C8—471no—
1416C4⋊C8—471no—
1417C4⋊C8C22×D4711yescharacteristic
1418#103—471no—
1419#103—471no—
1420#103—471no—
1421#103—471no—
1422#103—471no—
1423#103—471no—
1424#103—471no—
1425#103C22×D4711yescharacteristic
1426#103C22×D4711yescharacteristic
1427#103C22×D4711yescharacteristic
1428#102—471no—
1429#102—471no—
1430#102—471no—
1431#102—471no—
1432#102—471no—
1433#102—471no—
1434#102—471no—
1435#102—471no—
1436#102—471no—
1437#102—471no—
1438#102—471no—
1439#102—471no—
1440#102—471no—
1441#102—471no—
1442#102—471no—
1443#102C22×D4711yescharacteristic
1444#102C22×D4711yescharacteristic
1445#102C22×D4711yescharacteristic
1446#102C22×D4711yescharacteristic
1447#102C22×D4711yescharacteristic
1448#102C22×D4711yescharacteristic
1449#102C22×D4711yescharacteristic
1450C22⋊C8—471no—
1451C22⋊C8—471no—
1452C22⋊C8—471no—
1453C22⋊C8—471no—
1454C22⋊C8—471no—
1455C22⋊C8—471no—
1456C22⋊C8—471no—
1457C22⋊C8—471no—
1458C22⋊C8—471no—
1459C22⋊C8—471no—
1460C22⋊C8C22×D4711yescharacteristic
1461C22⋊C8C22×D4711yescharacteristic
1462#97—471no—
1463#97—471no—
1464C4×C8—471no—
1465C4×C8C22×D4711yescharacteristic
1466C24—21no—
1467C24—471no—
1468C24—941no—
1469C24—941no—
1470C24—941no—
1471C24—941no—
1472C24—941no—
1473#41—22no—
1474#41—41no—
1475#41—942no—
1476#41—942no—
1477#41—942no—
1478#41—942no—
1479#41—942no—
1480#41—3762no—
1481#41—1881no—
1482#41—1881no—
1483#41—1881no—
1484#41—1881no—
1485#41—1881no—
1486#41—1881no—
1487#41—1881no—
1488#41—1881no—
1489#41—1884no—
1490#41—1881no—
1491#41—1884no—
1492#41—1884no—
1493#41—1881no—
1494#41—1881no—
1495C2×Q8—471no—
1496C2×Q8—471no—
1497C2×Q8—471no—
1498C2×Q8—941no—
1499C2×Q8—941no—
1500C2×Q8—942no—
1501C2×Q8—1881no—
1502C2×Q8C23×D4711yescharacteristic
1503C2×D4—22no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—41no—
1510C2×D4—471no—
1511C2×D4—471no—
1512C2×D4—471no—
1513C2×D4—471no—
1514C2×D4—471no—
1515C2×D4—471no—
1516C2×D4—471no—
1517C2×D4—471no—
1518C2×D4—471no—
1519C2×D4—471no—
1520C2×D4—941no—
1521C2×D4—941no—
1522C2×D4—941no—
1523C2×D4—941no—
1524C2×D4—941no—
1525C2×D4—941no—
1526C2×D4—941no—
1527C2×D4—941no—
1528C2×D4—941no—
1529C2×D4—941no—
1530C2×D4—941no—
1531C2×D4—941no—
1532C2×D4—941no—
1533C2×D4—941no—
1534C2×D4—941no—
1535C2×D4—942no—
1536C2×D4—942no—
1537C2×D4—941no—
1538C2×D4—941no—
1539C2×D4—941no—
1540C2×D4—941no—
1541C2×D4—941no—
1542C2×D4—941no—
1543C2×D4—941no—
1544C2×D4—941no—
1545C2×D4—941no—
1546C2×D4—941no—
1547C2×D4—941no—
1548C2×D4—941no—
1549C2×D4—941no—
1550C2×D4—941no—
1551C2×D4—941no—
1552C2×D4—3762no—
1553C2×D4—3762no—
1554C2×D4—3762no—
1555C2×D4—3762no—
1556C2×D4—3762no—
1557C2×D4—1881no—
1558C2×D4—1881no—
1559C2×D4—1881no—
1560C2×D4—1881no—
1561C2×D4—1881no—
1562C2×D4—1881no—
1563C2×D4—1881no—
1564C2×D4—1881no—
1565C2×D4—1884no—
1566C2×D4—1884no—
1567C2×D4—1884no—
1568C2×D4—1884no—
1569C2×D4D4×D4711yescharacteristic
1570C2×D4C23×D4711yescharacteristic
1571C2×D4C23×D4711yescharacteristic
1572C2×D4C23×D4711yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—471no—
1578C22×C4—471no—
1579C22×C4—471no—
1580C22×C4—471no—
1581C22×C4—471no—
1582C22×C4—471no—
1583C22×C4—941no—
1584C22×C4—941no—
1585C22×C4—941no—
1586C22×C4—941no—
1587C22×C4—941no—
1588C22×C4—941no—
1589C22×C4—941no—
1590C22×C4—941no—
1591C22×C4—941no—
1592C22×C4—941no—
1593C22×C4—941no—
1594C22×C4—941no—
1595C22×C4—941no—
1596C22×C4—1881no—
1597C22×C4—1881no—
1598C22×C4—1884no—
1599C22×C4C23×D4711yescharacteristic
1600C22×C4C23×D4711yescharacteristic
1601Q16—942no—
1602Q16—1881no—
1603SD16—41no—
1604SD16—942no—
1605SD16—942no—
1606SD16—942no—
1607SD16—942no—
1608SD16—1881no—
1609SD16—1881no—
1610SD16—1881no—
1611SD16—1881no—
1612SD16—1881no—
1613D8—22no—
1614D8—41no—
1615D8—942no—
1616D8—942no—
1617D8—1881no—
1618D8—1881no—
1619D8—1881no—
1620D8—1881no—
1621D8—1881no—
1622D8—1881no—
1623D8—1881no—
1624D8—1881no—
1625M16—1881no—
1626M16—1881no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—471no—
1630C2×C8—471no—
1631C2×C8—471no—
1632C2×C8—471no—
1633C2×C8—1881no—
1634C2×C8—1881no—
1635C2×C8—1881no—
1636C2×C8—1881no—
1637C2×C8C23×D4711yescharacteristic
1638C2×C8C23×D4711yescharacteristic
1639C2×C8C23×D4711yescharacteristic
1640C2×C8C23×D4711yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—471no—
1646C4⋊C4—471no—
1647C4⋊C4—471no—
1648C4⋊C4—471no—
1649C4⋊C4—471no—
1650C4⋊C4—471no—
1651C4⋊C4—471no—
1652C4⋊C4—941no—
1653C4⋊C4—941no—
1654C4⋊C4—941no—
1655C4⋊C4—941no—
1656C4⋊C4—941no—
1657C4⋊C4—941no—
1658C4⋊C4—941no—
1659C4⋊C4—941no—
1660C4⋊C4—941no—
1661C4⋊C4—941no—
1662C4⋊C4D4×D4711yescharacteristic
1663C4⋊C4C23×D4711yescharacteristic
1664C4⋊C4C23×D4711yescharacteristic
1665C4⋊C4C23×D4711yescharacteristic
1666C4⋊C4C23×D4711yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—471no—
1677C22⋊C4—471no—
1678C22⋊C4—471no—
1679C22⋊C4—471no—
1680C22⋊C4—471no—
1681C22⋊C4—471no—
1682C22⋊C4—471no—
1683C22⋊C4—471no—
1684C22⋊C4—941no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4—941no—
1689C22⋊C4—941no—
1690C22⋊C4—941no—
1691C22⋊C4—941no—
1692C22⋊C4—941no—
1693C22⋊C4—941no—
1694C22⋊C4—941no—
1695C22⋊C4—941no—
1696C22⋊C4—941no—
1697C22⋊C4—941no—
1698C22⋊C4—941no—
1699C22⋊C4—941no—
1700C22⋊C4—941no—
1701C22⋊C4—941no—
1702C22⋊C4—941no—
1703C22⋊C4—941no—
1704C22⋊C4—941no—
1705C22⋊C4—941no—
1706C22⋊C4—941no—
1707C22⋊C4—941no—
1708C22⋊C4D4×D4711yescharacteristic
1709C22⋊C4D4×D4711yescharacteristic
1710C42—21no—
1711C42—471no—
1712C42—941no—
1713C42—941no—
1714C42—941no—
1715C42—941no—
1716C42C23×D4711yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—42no—
1721C23—81no—
1722C23—81no—
1723C23—471no—
1724C23—471no—
1725C23—471no—
1726C23—942no—
1727C23—941no—
1728C23—941no—
1729C23—941no—
1730C23—941no—
1731C23—3761no—
1732C23—3761no—
1733C23—3761no—
1734C23—3761no—
1735C23—3761no—
1736C23—3761no—
1737C23—3761no—
1738C23—3761no—
1739C23—3761no—
1740C23—3761no—
1741C23—1881no—
1742C23—1881no—
1743C23—1882no—
1744C23—1882no—
1745C23—1882no—
1746C23—1882no—
1747C23—1882no—
1748C23C2×D4×D4711yescharacteristic
1749C23C2×D4×D4711yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—472no—
1753Q8—941no—
1754Q8—941no—
1755Q8—941no—
1756Q8—3761no—
1757Q8—1881no—
1758Q8—1882no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—41no—
1765D4—42no—
1766D4—42no—
1767D4—81no—
1768D4—81no—
1769D4—81no—
1770D4—942no—
1771D4—942no—
1772D4—944no—
1773D4—941no—
1774D4—941no—
1775D4—941no—
1776D4—941no—
1777D4—941no—
1778D4—941no—
1779D4—941no—
1780D4—941no—
1781D4—3761no—
1782D4—3761no—
1783D4—3761no—
1784D4—3761no—
1785D4—3761no—
1786D4—3761no—
1787D4—3761no—
1788D4—3761no—
1789D4—3761no—
1790D4—3761no—
1791D4—3761no—
1792D4—3761no—
1793D4—3761no—
1794D4—3761no—
1795D4—3761no—
1796D4—3761no—
1797D4—3761no—
1798D4—3761no—
1799D4—3761no—
1800D4—1881no—
1801D4—1882no—
1802D4—1882no—
1803D4—1882no—
1804D4—1881no—
1805D4—1881no—
1806D4—1881no—
1807D4—1882no—
1808D4—1882no—
1809D4—1882no—
1810D4—1882no—
1811D4—1882no—
1812D4—1882no—
1813D4—1882no—
1814D4#1309407012yes—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—42no—
1825C2×C4—81no—
1826C2×C4—81no—
1827C2×C4—81no—
1828C2×C4—471no—
1829C2×C4—471no—
1830C2×C4—471no—
1831C2×C4—471no—
1832C2×C4—471no—
1833C2×C4—944no—
1834C2×C4—941no—
1835C2×C4—941no—
1836C2×C4—941no—
1837C2×C4—941no—
1838C2×C4—941no—
1839C2×C4—941no—
1840C2×C4—941no—
1841C2×C4—941no—
1842C2×C4—941no—
1843C2×C4—941no—
1844C2×C4—3761no—
1845C2×C4—3761no—
1846C2×C4—3761no—
1847C2×C4—3761no—
1848C2×C4—3761no—
1849C2×C4—3761no—
1850C2×C4—1881no—
1851C2×C4—1881no—
1852C2×C4—1882no—
1853C2×C4—1882no—
1854C2×C4—1882no—
1855C2×C4—1882no—
1856C2×C4—1882no—
1857C2×C4—1881no—
1858C2×C4—1882no—
1859C2×C4C2×D4×D4711yescharacteristic
1860C2×C4C2×D4×D4711yescharacteristic
1861C2×C4C2×D4×D4711yescharacteristic
1862C2×C4C2×D4×D4711yescharacteristic
1863C2×C4C24×D4711yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—941no—
1869C8—941no—
1870C8—941no—
1871C8—941no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—22no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—162no—
1888C22—472no—
1889C22—941no—
1890C22—941no—
1891C22—941no—
1892C22—941no—
1893C22—941no—
1894C22—941no—
1895C22—941no—
1896C22—941no—
1897C22—3764no—
1898C22—3762no—
1899C22—1881no—
1900C22—1881no—
1901C22—1881no—
1902C22—1881no—
1903C22—1881no—
1904C22—1881no—
1905C22—1881no—
1906C22—1881no—
1907C22—1881no—
1908C22—1881no—
1909C22—1881no—
1910C22—1881no—
1911C22—7522no—
1912C22—7522no—
1913C22—7522no—
1914C22—7522no—
1915C22C22×D4×D4711yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—941no—
1926C4—941no—
1927C4—941no—
1928C4—941no—
1929C4—941no—
1930C4—942no—
1931C4—1881no—
1932C4—1881no—
1933C4—1881no—
1934C4H(5,𝔽2)×D4711yescharacteristic
1935C4C2×#1309407011yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—42no—
1939C2—81no—
1940C2—81no—
1941C2—942no—
1942C2—3761no—
1943C2—3761no—
1944C2—3761no—
1945C2—3761no—
1946C2—1881no—
1947C2—1881no—
1948C2#2025701811yescharacteristic
1949C2#576×D4711yescharacteristic
1950C2#2025815711yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3297C2
socleC22×C47C23×D4
hypercenter#3297D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #20257707C2semidirect
2. #20257051C2semidirect
3. #20255540C2semidirect
4. #20255406C2semidirect
5. #20255388C2semidirect
6. #20255382C2semidirect
7. #20255336C2semidirect
8. #20255274C2semidirect
9. #20255197C2semidirect
10. #20255148C2semidirect
11. #20255102C2semidirect
12. #20255071C2semidirect
13. D8×D188C2semidirect
14. #20254925C2semidirect
15. #20254924C2semidirect
16. #20254889C2semidirect
17. #20254866C2semidirect
18. #20254481C2semidirect
19. #20254441C2semidirect
20. #20254292C2semidirect
21. #20254243C2semidirect
22. #20254157C2semidirect
23. #20254135C2semidirect
24. #20253646C2semidirect
25. #20253592C2semidirect
26. #20252697C2semidirect
27. #20252651C2semidirect
28. #20252608C2semidirect
29. #449×D47C2semidirect
30. #20252441C2semidirect
31. C47×#3297C2semidirect
32. C2×#13094069C22semidirect
33. C2×#41×D47C22semidirect
34. C2×#13094050C22semidirect
35. C2×#13094048C22semidirect
36. C2×#13094046C22semidirect
37. C2×#13094046C22semidirect
38. C2×#13094044C22semidirect
39. C2×SD16×D47C22semidirect
40. C2×D8×D47C22semidirect
41. C2×D8×D47C22semidirect
44. #15689836C22semidirect
45. #15689811C22semidirect
47. #15689794C22semidirect
48. #15689794C22semidirect
49. #15689791C22semidirect
50. #15689783C22semidirect
52. #15689774C22semidirect
53. #15689770C22semidirect
54. #15689770C22semidirect
58. #15689761C22semidirect
60. D4×D188C22semidirect
62. D4×C22⋊D47C22semidirect
64. #15689738C22semidirect
65. #15689729C22semidirect
68. #15689704C22semidirect
69. #15689703C22semidirect
71. #15689691C22semidirect
73. #15689689C22semidirect
76. #15689635C22semidirect
80. #121×D47C22semidirect
81. #121×D47C22semidirect
82. #15689602C22semidirect
83. #15689513C22semidirect
84. #15689511C22semidirect
85. #15689504C22semidirect
86. #15689500C22semidirect
87. #15689489C22semidirect
88. #15689484C22semidirect
89. #15689468C22semidirect
90. #15689463C22semidirect
91. #15689460C22semidirect
92. #15689449C22semidirect
93. #15689447C22semidirect
94. #15689443C22semidirect
95. #15689438C22semidirect
96. #15689438C22semidirect
97. #15689436C22semidirect
98. #15689435C22semidirect
99. #15689435C22semidirect
100. #15689427C22semidirect
101. #15689417C22semidirect
102. #15689401C22semidirect
103. #15689374C22semidirect
104. #15689372C22semidirect
105. #15689371C22semidirect
106. #15689370C22semidirect
107. #15689363C22semidirect
108. #15689360C22semidirect
109. #15689360C22semidirect
110. #15689359C22semidirect
111. #15689359C22semidirect
112. #15689358C22semidirect
113. #15689357C22semidirect
114. #15689357C22semidirect
115. #15689353C22semidirect
116. #15689351C22semidirect
117. #15689344C22semidirect
118. #15689342C22semidirect
119. #15689341C22semidirect
120. #15689341C22semidirect
121. #15689336C22semidirect
122. #15689324C22semidirect
123. #15689324C22semidirect
124. #15689318C22semidirect
125. #15689318C22semidirect
126. #15689317C22semidirect
127. #15689317C22semidirect
128. #15689288C22semidirect
129. #15689286C22semidirect
130. #15689286C22semidirect
131. #15689283C22semidirect
132. #15689280C22semidirect
133. #15689275C22semidirect
134. #15689275C22semidirect
135. #15689275C22semidirect
136. #15689272C22semidirect
137. #15689271C22semidirect
138. #15689271C22semidirect
139. #15689270C22semidirect
140. #15689270C22semidirect
141. #15689270C22semidirect
142. #15689270C22semidirect
143. #15689269C22semidirect
144. #15689269C22semidirect
145. #15689269C22semidirect
146. #15689268C22semidirect
147. #15689267C22semidirect
148. #15689266C22semidirect
149. #15689266C22semidirect
150. #15689266C22semidirect
152. #15689263C22semidirect
153. #15689258C22semidirect
154. #15689258C22semidirect
155. #15689258C22semidirect
156. #15689258C22semidirect
157. #15689258C22semidirect
158. #15689258C22semidirect
159. #15689257C22semidirect
160. #15689255C22semidirect
161. #15689255C22semidirect
162. #15689232C22semidirect
163. #15689223C22semidirect
164. #15689223C22semidirect
165. #15689222C22semidirect
166. C4×Dic188C22semidirect
167. #15689210C22semidirect
168. #15689203C22semidirect
169. #15689197C22semidirect
170. #15689195C22semidirect
171. #15689194C22semidirect
172. #15689193C22semidirect
173. C8×D188C22semidirect
174. C8×C22⋊D47C22semidirect
175. (C22⋊D47)⋊C8C22semidirect
176. #15689183C22semidirect
177. #15689182C22semidirect
178. #15689126C22semidirect
179. #15689122C22semidirect
180. #15689117C22semidirect
181. #15689116C22semidirect
182. #103×D47C22semidirect
183. #102×D47C22semidirect
184. #15689089C22semidirect
185. #15689088C22semidirect
186. C2×(C2×D47)⋊C8C22semidirect
187. C22⋊C8×D47C22semidirect
188. C47×#553C22semidirect
189. C47×#546C22semidirect
190. C47×#488C22semidirect
191. C47×#484C22semidirect
192. C47×#482C22semidirect
193. C47×#478C22semidirect
194. C47×#466C22semidirect
195. C47×#465C22semidirect
196. C47×#463C22semidirect
197. C47×#449C22semidirect
198. C47×#447C22semidirect
199. C4×D8×C47C22semidirect
200. C8×D4×C47C22semidirect
201. C47×#416C22semidirect
202. C2×#102×C47C22semidirect
969. #3297D47semidirect
1020. #553C2×D47semidirect
1035. #546C2×D47semidirect
1066. #488C2×D47semidirect
1070. #484C2×D47semidirect
1073. #482C2×D47semidirect
1081. #478C2×D47semidirect
1096. #466C2×D47semidirect
1099. #465C2×D47semidirect
1105. #463C2×D47semidirect
1136. #449C2×D47semidirect
1147. #447C2×D47semidirect
1155. C4×D8C2×D47semidirect
1163. C8×D4C2×D47semidirect
1170. #416C2×D47semidirect
1173. C2×#102C2×D47semidirect
1178. C47#61639semidirect

Maximal subgroups

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

subgroupindex
#202577072
#202570512
#202555402
#202554062
#202553882
#202553822
#202553362
#202552742
#202551972
#202551482
#202551022
#202550712
D8×D1882
#202549252
#202549242
#202548892
#202548662
#202544812
#202544412
#202542922
#202542432
#202541572
#202541352
#202536462
#202535922
#202526972
#202526512
#202526082
#449×D472
#202524412
C47×#32972
#6163947