Finite Group Databasebeta

← #27101988

Subgroups — #27101988

Order 12032.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257706C211yesmaximal, characteristic, complemented
2#20257031C211yesmaximal, characteristic, complemented
3#20255688C211yesmaximal, characteristic, complemented
4#20255602C211yesmaximal, characteristic, complemented
5#20255547C211yesmaximal, characteristic, complemented
6#20255482C211yesmaximal, characteristic, complemented
7#20255359C211yesmaximal, characteristic, complemented
8#20255355C211yesmaximal, characteristic, complemented
9#20255314C211yesmaximal, characteristic, complemented
10#20255244C211yesmaximal, characteristic, complemented
11#20255115C211yesmaximal, characteristic, complemented
12#20255066C211yesmaximal, characteristic, complemented
13#20254996C211yesmaximal, characteristic, complemented
14#20254986C211yesmaximal, characteristic, complemented
15#20254935C211yesmaximal, characteristic, complemented
16#20254911C211yesmaximal, characteristic, complemented
17#20254910C211yesmaximal, characteristic, complemented
18#20254872C211yesmaximal, characteristic, complemented
19#20254495C211yesmaximal, characteristic, complemented
20#20254445C211yesmaximal, characteristic, complemented
21#20254270C211yesmaximal, characteristic, complemented
22#20254228C211yesmaximal, characteristic, complemented
23#20254157C211yesmaximal, characteristic, complemented
24#20253627C211yesmaximal, characteristic, complemented
25#20253567C211yesmaximal, characteristic, complemented
26#20252695C211yesmaximal, characteristic, complemented
27#20252654C211yesmaximal, characteristic, complemented
28#20252639C211yesmaximal, characteristic, complemented
29#20252605C211yesmaximal, characteristic, complemented
30#20252431C211yesmaximal, characteristic, complemented
31C47×#3200C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic, complemented
33C22×#10625354C2211yescharacteristic, complemented
34C2×#13094052C2211yescharacteristic, complemented
35C2×#13094051C2211yescharacteristic, complemented
36C2×#13094051C2211yescharacteristic, complemented
37C2×#13094050C2211yescharacteristic, complemented
38C2×#13094046C2211yescharacteristic, complemented
39C2×#13094045C2211yescharacteristic, complemented
40C2×#13094045C2211yescharacteristic, complemented
41C22×#10625334C2211yescharacteristic, complemented
42#15689867—21no—
43#15689862—21no—
44#15689836C2211yescharacteristic, complemented
45#15689825C2211yescharacteristic, complemented
46#15689812C2211yescharacteristic, complemented
47#15689803—21no—
48#15689791C2211yescharacteristic, complemented
49#15689776—21no—
50#15689776—21no—
51#15689775C2211yescharacteristic
52#15689775C2211yescharacteristic, complemented
53#15689775C2211yescharacteristic, complemented
54#15689775C2211yescharacteristic, complemented
55#15689773C2211yescharacteristic, complemented
56#15689770C2211yescharacteristic, complemented
57#15689767C2211yescharacteristic, complemented
58#15689766—21no—
59#15689766—21no—
60#15689764C2211yescharacteristic
61#15689764C2211yescharacteristic, complemented
62#15689764C2211yescharacteristic, complemented
63#15689764C2211yescharacteristic, complemented
64#15689760—21no—
65D4×C22⋊D47C2211yescharacteristic, complemented
66#15689740C2211yescharacteristic, complemented
67#15689727—21no—
68#15689726C2211yescharacteristic, complemented
69#15689708—21no—
70#15689701C2211yescharacteristic
71#15689697C2211yescharacteristic, complemented
72#15689686—21no—
73#15689684—21no—
74#15689684—21no—
75#15689683—21no—
76#15689635C2211yescharacteristic, complemented
77#15689633C2211yescharacteristic, complemented
78#15689630C2211yescharacteristic
79#123×D47—21no—
80#123×D47—21no—
81#121×D47C2211yescharacteristic, complemented
82#15689597C2211yescharacteristic, complemented
83#15689514C2211yescharacteristic, complemented
84#15689509C2211yescharacteristic, complemented
85#15689504C2211yescharacteristic, complemented
86#15689494C2211yescharacteristic, complemented
87#15689490C2211yescharacteristic, complemented
88#15689484C2211yescharacteristic, complemented
89#15689479C2211yescharacteristic, complemented
90#15689472C2211yescharacteristic, complemented
91#15689466C2211yescharacteristic, complemented
92#15689464C2211yescharacteristic, complemented
93#15689460C2211yescharacteristic, complemented
94#15689456C2211yescharacteristic, complemented
95#15689451C2211yescharacteristic, complemented
96#15689449C2211yescharacteristic, complemented
97#15689447C2211yescharacteristic, complemented
98#15689443C2211yescharacteristic, complemented
99#15689426C2211yescharacteristic, complemented
100#15689422C2211yescharacteristic, complemented
101#15689412C2211yescharacteristic, complemented
102#15689402C2211yescharacteristic, complemented
103#15689382C2211yescharacteristic, complemented
104#15689379C2211yescharacteristic, complemented
105#15689375C2211yescharacteristic, complemented
106#15689371C2211yescharacteristic, complemented
107#15689370C2211yescharacteristic, complemented
108#15689368C2211yescharacteristic, complemented
109#15689362C2211yescharacteristic, complemented
110#15689360C2211yescharacteristic, complemented
111#15689358C2211yescharacteristic, complemented
112#15689354C2211yescharacteristic, complemented
113#15689353C2211yescharacteristic, complemented
114#15689351C2211yescharacteristic, complemented
115#15689348C2211yescharacteristic, complemented
116#15689341C2211yescharacteristic, complemented
117#15689340C2211yescharacteristic, complemented
118#15689340C2211yescharacteristic, complemented
119#15689337C2211yescharacteristic, complemented
120#15689337C2211yescharacteristic, complemented
121#15689332C2211yescharacteristic, complemented
122#15689327C2211yescharacteristic, complemented
123#15689326C2211yescharacteristic, complemented
124#15689326C2211yescharacteristic, complemented
125#15689317C2211yescharacteristic, complemented
126#15689317C2211yescharacteristic, complemented
127#15689288C2211yescharacteristic, complemented
128#15689288C2211yescharacteristic, complemented
129#15689287C2211yescharacteristic, complemented
130#15689287C2211yescharacteristic, complemented
131#15689286C2211yescharacteristic, complemented
132#15689283C2211yescharacteristic, complemented
133#15689283C2211yescharacteristic, complemented
134#15689279C2211yescharacteristic, complemented
135#15689276C2211yescharacteristic, complemented
136#15689276C2211yescharacteristic, complemented
137#15689275C2211yescharacteristic, complemented
138#15689271C2211yescharacteristic, complemented
139#15689271C2211yescharacteristic, complemented
140#15689270C2211yescharacteristic, complemented
141#15689270C2211yescharacteristic, complemented
142#15689269C2211yescharacteristic, complemented
143#15689267C2211yescharacteristic, complemented
144#15689267C2211yescharacteristic, complemented
145#15689267C2211yescharacteristic, complemented
146#15689267C2211yescharacteristic, complemented
147#15689266C2211yescharacteristic
148#15689266C2211yescharacteristic, complemented
149#15689266C2211yescharacteristic, complemented
150#15689266C2211yescharacteristic, complemented
151#15689262C2211yescharacteristic, complemented
152#15689259C2211yescharacteristic, complemented
153#15689259C2211yescharacteristic, complemented
154#15689258C2211yescharacteristic, complemented
155#15689256C2211yescharacteristic
156#15689256C2211yescharacteristic, complemented
157#15689256C2211yescharacteristic, complemented
158#15689256C2211yescharacteristic, complemented
159#15689234C2211yescharacteristic, complemented
160#15689232C2211yescharacteristic, complemented
161#15689232C2211yescharacteristic, complemented
162#15689222C2211yescharacteristic, complemented
163#15689210C2211yescharacteristic, complemented
164#15689205C2211yescharacteristic, complemented
165#15689203C2211yescharacteristic, complemented
166#15689203C2211yescharacteristic, complemented
167#15689199C2211yescharacteristic, complemented
168#15689198C2211yescharacteristic, complemented
169#15689197C2211yescharacteristic, complemented
170#15689194C2211yescharacteristic, complemented
171#15689192C2211yescharacteristic, complemented
172#15689191C2211yescharacteristic, complemented
173C8×C22⋊D47C2211yescharacteristic, complemented
174(C22⋊D47)⋊C8C2211yescharacteristic, complemented
175#15689181C2211yescharacteristic, complemented
176#15689181C2211yescharacteristic, complemented
177#15689127C2211yescharacteristic, complemented
178#15689125C2211yescharacteristic, complemented
179#15689123C2211yescharacteristic, complemented
180#15689123C2211yescharacteristic, complemented
181#15689118C2211yescharacteristic, complemented
182#15689118C2211yescharacteristic, complemented
183#15689117C2211yescharacteristic, complemented
184C2×#13093946C2211yescharacteristic, complemented
185#15689090C2211yescharacteristic, complemented
186#15689085C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C47×#536C2211yescharacteristic, complemented
189C47×#535C2211yescharacteristic
190C47×#485C2211yescharacteristic, complemented
191C47×#485C2211yescharacteristic, complemented
192C47×#482C2211yescharacteristic, complemented
193C47×#482C2211yescharacteristic, complemented
194C47×#468C2211yescharacteristic, complemented
195C47×#468C2211yescharacteristic, complemented
196C47×#465C2211yescharacteristic, complemented
197C47×#465C2211yescharacteristic, complemented
198C47×#450C2211yescharacteristic, complemented
199C47×#450C2211yescharacteristic, complemented
200C47×#448C2211yescharacteristic, complemented
201C47×#448C2211yescharacteristic, complemented
202C47×#408C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205C2×#10625354—21no—
206C2×#10625354—21no—
207C2×#10625354—21no—
208C2×#10625354—42no—
209C2×#10625354—42no—
210C2×#10625354C2311yescharacteristic
211C2×#10625354C2311yescharacteristic
212C2×#10625354C2311yescharacteristic
213C2×#10625354C2311yescharacteristic
214C2×#10625350C2311yescharacteristic
215C2×#10625350C2311yescharacteristic
216C2×#10625350C2311yescharacteristic
217C2×#10625350C2311yescharacteristic
218C2×#10625352—21no—
219C2×#10625352C2311yescharacteristic
220C22×D188—21no—
221C22×D188C2311yescharacteristic
222C22×D188C2311yescharacteristic
223C22×D188C2311yescharacteristic
224C22×C22⋊D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47—21no—
228C2×D4×D47—21no—
229C2×D4×D47C2311yescharacteristic
230C22×C4×D47—21no—
231C22×C4×D47C2311yescharacteristic
232#13094052—42no—
233#13094051—42no—
234#13094051—42no—
235#13094050—42no—
236#13094046—42no—
237#13094045—42no—
238#13094045—42no—
239C2×Dic188C2311yescharacteristic
240C2×#10625337C2311yescharacteristic
241C2×#10625337C2311yescharacteristic
242C2×#10625325C2311yescharacteristic
243C2×#10625325C2311yescharacteristic
244C2×#10625325C2311yescharacteristic
245C2×#10625325C2311yescharacteristic
246C2×#10625335C2311yescharacteristic
247C2×#10625335C2311yescharacteristic
248C2×#10625336C2311yescharacteristic
249C2×#10625336C2311yescharacteristic
250C2×D376C2311yescharacteristic
251C2×D376C2311yescharacteristic
252C2×D376C2311yescharacteristic
253C2×#10625334—42no—
254C2×#10625334C2311yescharacteristic
255C2×#10625334C2311yescharacteristic
256C2×#10625334C2311yescharacteristic
257C2×#10625334C2311yescharacteristic
258C2×#10625334C2311yescharacteristic
259C2×#10625334C2311yescharacteristic
260C2×#10625329C2311yescharacteristic
261C2×#10625324C2311yescharacteristic
262C2×#10625324C2311yescharacteristic
263C22×C47⋊C8C2311yescharacteristic
264C2×C8×D47C2311yescharacteristic
265C2×C8×D47C2311yescharacteristic
266#13094023C2311yescharacteristic
267#13094022C2311yescharacteristic
268#13094022C2311yescharacteristic
269#13094020—21no—
270#13094020C2311yescharacteristic
271#13094017—21no—
272#13094017—21no—
273#13094017—21no—
274#13094016—21no—
275#13094015C2311yescharacteristic
276#13094013C2311yescharacteristic
277#13094013C2311yescharacteristic
278#13094012—21no—
279#13094011—21no—
280#13094011C2311yescharacteristic
281#13094010—21no—
282#13094009—21no—
283#13094009—21no—
284#13094009—21no—
285#13094009—21no—
286#13094009—21no—
287#13094009—21no—
288#13094009—21no—
289#13094009—21no—
290#13094008—21no—
291#13094008—21no—
292#13094008—21no—
293#13094007—21no—
294#13094007—21no—
295#13094006—21no—
296#13094006—21no—
297#13094006—21no—
298#13094006—21no—
299#13094006—21no—
300#13094006—21no—
301#13094006—21no—
302#13094006—21no—
303#13094006—21no—
304#13094005—21no—
305#13094005—21no—
306#13094005—21no—
307#13094005D411yescharacteristic
308#13094005D411yescharacteristic
309#13094004C2311yescharacteristic
310#13094004C2311yescharacteristic
311#13094004C2311yescharacteristic
312#13094003C2311yescharacteristic
313#13094003C2311yescharacteristic
314#13094001—21no—
315#13094001—21no—
316#13094000—21no—
317#13094000—21no—
318#13094000—21no—
319#13094000D411yescharacteristic
320#13094000D411yescharacteristic
321#13093999—21no—
322#13093999—21no—
323#13093999—21no—
324#13093999—21no—
325#13093999C2311yescharacteristic
326#13093999C2311yescharacteristic
327#13093999C2311yescharacteristic
328#13093998C2311yescharacteristic
329#13093998C2311yescharacteristic
330#13093997—21no—
331#13093997—21no—
332#13093997—21no—
333#13093997—21no—
334#13093997—21no—
335#13093997—21no—
336#13093997—21no—
337#13093996—21no—
338#13093996—21no—
339#13093996—21no—
340#13093996—21no—
341#13093996—21no—
342#13093996—21no—
343#13093996—21no—
344#13093996—21no—
345#13093995—21no—
346#13093995—21no—
347#13093995—21no—
348#13093995D411yescharacteristic
349#13093995D411yescharacteristic
350#13093995C2311yescharacteristic
351#13093995C2311yescharacteristic
352#13093994—21no—
353#13093994—21no—
354#13093994—21no—
355#13093994—21no—
356#13093994—21no—
357#13093993—21no—
358#13093993—21no—
359#13093992—21no—
360#13093992—21no—
361#13093992—21no—
362#13093992D411yescharacteristic
363#13093992D411yescharacteristic
364#13093989C2311yescharacteristic
365C4×D188—21no—
366C4×D188—21no—
367C4×D188—21no—
368C4×D188—21no—
369D4×Dic47—21no—
370D4×Dic47—21no—
371D4×Dic47C2311yescharacteristic
372D4×Dic47C2311yescharacteristic
373#13093986C2311yescharacteristic
374#13093986C2311yescharacteristic
375#13093986C2311yescharacteristic
376#13093986C2311yescharacteristic
377#13093986C2311yescharacteristic
378C4×C22⋊D47C2311yescharacteristic
379C4×C22⋊D47C2311yescharacteristic
380C4×C22⋊D47C2311yescharacteristic
381C4×C22⋊D47C2311yescharacteristic
382(C22⋊D47)⋊C4—21no—
383(C22⋊D47)⋊C4—21no—
384#13093983C2311yescharacteristic
385#13093982C2311yescharacteristic
386#13093981—21no—
387#13093981—21no—
388C2×C4⋊Dic47C2311yescharacteristic
389C4⋊C4×D47—21no—
390C4⋊C4×D47—21no—
391C4⋊C4×D47—21no—
392C4⋊C4×D47—21no—
393C4⋊C4×D47C2311yescharacteristic
394C2×C22⋊Dic47—21no—
395C22⋊C4×D47—21no—
396C22⋊C4×D47—21no—
397C22⋊C4×D47—21no—
398C22⋊C4×D47—21no—
399C22⋊C4×D47—21no—
400C22⋊C4×D47—21no—
401C22⋊C4×D47—21no—
402C22⋊C4×D47—21no—
403#13093957C2311yescharacteristic
404#13093957C2311yescharacteristic
405#13093955C2311yescharacteristic
406#13093955C2311yescharacteristic
407Dic47⋊C8C2311yescharacteristic
408Dic47⋊C8C2311yescharacteristic
409Dic47⋊C8C2311yescharacteristic
410Dic47⋊C8C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093948C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093946C2311yescharacteristic
426#13093946C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433#13093944C2311yescharacteristic
434#13093944C2311yescharacteristic
435C22⋊(C47⋊C8)C2311yescharacteristic
436C22⋊(C47⋊C8)C2311yescharacteristic
437C22⋊(C47⋊C8)C2311yescharacteristic
438C22⋊(C47⋊C8)C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442(C2×D47)⋊C8C2311yescharacteristic
443#13093934C2311yescharacteristic
444#13093934C2311yescharacteristic
445C8×Dic47C2311yescharacteristic
446C8×Dic47C2311yescharacteristic
447C2×#41×C47C2311yescharacteristic
448C22×Q8×C47C2311yescharacteristic
449C22×D4×C47C2311yescharacteristic
450C2×SD16×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×SD16×C47C2311yescharacteristic
453C2×SD16×C47C2311yescharacteristic
454C2×M16×C47C2311yescharacteristic
455C22×C8×C47C2311yescharacteristic
456C4⋊Q8×C47—21no—
457#127×C47—21no—
458#124×C47—21no—
459#124×C47—21no—
460#123×C47—21no—
461#123×C47—21no—
462C22⋊Q8×C47C2311yescharacteristic
463C22⋊Q8×C47C2311yescharacteristic
464C22⋊Q8×C47C2311yescharacteristic
465C22⋊Q8×C47C2311yescharacteristic
466#121×C47C2311yescharacteristic
467#121×C47C2311yescharacteristic
468#121×C47C2311yescharacteristic
469#121×C47C2311yescharacteristic
470#120×C47—21no—
471#120×C47—21no—
472#117×C47C2311yescharacteristic
473#117×C47C2311yescharacteristic
474#107×C47C2311yescharacteristic
475#107×C47C2311yescharacteristic
476#106×C47C2311yescharacteristic
477#106×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#103×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486C22⋊C8×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C22⋊C8×C47C2311yescharacteristic
490C24×C47—21no—
491C23×D47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47C2×D411yescharacteristic
496#41×C47—41no—
497#41×C47—41no—
498C2×Q8×C47—21no—
499C2×Q8×C47—41no—
500C2×Q8×C47—41no—
501C2×Q8×C47C2×D411yescharacteristic
502C2×Q8×C47C2411yescharacteristic
503C2×Q8×C47C2411yescharacteristic
504C2×D4×C47—21no—
505C2×D4×C47—21no—
506C2×D4×C47—21no—
507C2×D4×C47—21no—
508C2×D4×C47—21no—
509C2×D4×C47—41no—
510C2×D4×C47—41no—
511C2×D4×C47C2×D411yescharacteristic
512C2×D4×C47C2×D411yescharacteristic
513C2×D4×C47C2×D411yescharacteristic
514C2×D4×C47C2411yescharacteristic
515C2×D4×C47C2411yescharacteristic
516C22×C4×C47—21no—
517C22×C4×C47C2411yescharacteristic
518C22×C4×C47C2411yescharacteristic
519C22×C4×C47C2411yescharacteristic
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—82no—
533C2×C22⋊D47C2×D411yescharacteristic
534C2×C22⋊D47C2×D411yescharacteristic
535C2×C22⋊D47C2×D411yescharacteristic
536C2×C22⋊D47C2×D411yescharacteristic
537C22×Dic47—21no—
538C22×Dic47—21no—
539C22×Dic47—21no—
540C22×Dic47—21no—
541C22×Dic47C2×D411yescharacteristic
542#10625354—22no—
543#10625354—22no—
544#10625354—22no—
545#10625354—22no—
546#10625354—41no—
547#10625354—41no—
548#10625354—41no—
549#10625354—41no—
550#10625354—44no—
551#10625354—44no—
552#10625354—44no—
553#10625352—41no—
554#10625352—41no—
555#10625352—82no—
556D4×D47—41no—
557D4×D47—41no—
558D4×D47—44no—
559D4×D47—44no—
560D4×D47—44no—
561D4×D47—82no—
562#10625350—22no—
563#10625350—22no—
564#10625350—41no—
565#10625350—41no—
566#10625350—41no—
567#10625350—41no—
568#10625350—41no—
569#10625350—41no—
570C2×D188—21no—
571C2×D188—22no—
572C2×D188—22no—
573C2×D188—22no—
574C2×D188—22no—
575C2×D188—21no—
576C2×D188—21no—
577C2×D188—21no—
578C2×D188—21no—
579C2×D188—21no—
580C2×D188—21no—
581C2×D188—21no—
582C2×D188—21no—
583C2×D188—21no—
584C2×D188—41no—
585C2×D188—41no—
586C2×D188—44no—
587C2×D188C2411yescharacteristic
588C2×D188C2411yescharacteristic
589C2×D188C2411yescharacteristic
590C2×D188C2411yescharacteristic
591C2×C4×D47—21no—
592C2×C4×D47—21no—
593C2×C4×D47—21no—
594C2×C4×D47—21no—
595C2×C4×D47—21no—
596C2×C4×D47—21no—
597C2×C4×D47—21no—
598C2×C4×D47—21no—
599C2×C4×D47—21no—
600C2×C4×D47—21no—
601C2×C4×D47—21no—
602C2×C4×D47—21no—
603C2×C4×D47—21no—
604C2×C4×D47—21no—
605C2×C4×D47—41no—
606C2×C4×D47—41no—
607C2×C4×D47—44no—
608C2×C4×D47C2×D411yescharacteristic
609C2×C4×D47C2×D411yescharacteristic
610C2×C4×D47C2411yescharacteristic
611C2×C4×D47C2411yescharacteristic
612C2×Dic94—21no—
613C2×Dic94C2411yescharacteristic
614C2×Dic94C2411yescharacteristic
615SD16×C47—41no—
616SD16×C47—41no—
617SD16×C47—41no—
618SD16×C47—41no—
619M16×C47—41no—
620C2×C8×C47—41no—
621C2×C8×C47C2411yescharacteristic
622C2×C8×C47C2411yescharacteristic
623C2×C8×C47C2411yescharacteristic
624C2×C8×C47C2411yescharacteristic
625C4⋊C4×C47—21no—
626C4⋊C4×C47—21no—
627C4⋊C4×C47—21no—
628C4⋊C4×C47—21no—
629C4⋊C4×C47C2411yescharacteristic
630C4⋊C4×C47C2411yescharacteristic
631C4⋊C4×C47C2411yescharacteristic
632C4⋊C4×C47C2411yescharacteristic
633C22⋊C4×C47—21no—
634C22⋊C4×C47—21no—
635C22⋊C4×C47—21no—
636C22⋊C4×C47—21no—
637C22⋊C4×C47—21no—
638C22⋊C4×C47—21no—
639C22⋊C4×C47—21no—
640C22⋊C4×C47—21no—
641C22⋊C4×C47—21no—
642C22⋊C4×C47—21no—
643C42×C47—21no—
644C42×C47—21no—
645C22⋊Dic47—21no—
646C22⋊Dic47—21no—
647C22⋊Dic47—21no—
648C22⋊Dic47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47—21no—
653C22⋊Dic47C2×D411yescharacteristic
654C22⋊Dic47C2×D411yescharacteristic
655C22⋊Dic47C2×D411yescharacteristic
656C22⋊Dic47C2×D411yescharacteristic
657C22⋊Dic47C2×D411yescharacteristic
658C22⋊Dic47C2×D411yescharacteristic
659#10625337—41no—
660#10625337—41no—
661#10625336—41no—
662#10625336—41no—
663#10625335—41no—
664#10625335—41no—
665#10625334—22no—
666#10625334—22no—
667#10625334—22no—
668#10625334—22no—
669#10625334—41no—
670#10625334—41no—
671(C2×D47)⋊C4—21no—
672(C2×D47)⋊C4—21no—
673(C2×D47)⋊C4—21no—
674(C2×D47)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
690(C2×D47)⋊C4C2×D411yescharacteristic
691(C2×D47)⋊C4C2×D411yescharacteristic
692(C2×D47)⋊C4C2×D411yescharacteristic
693C4⋊Dic47—21no—
694C4⋊Dic47—21no—
695C4⋊Dic47—21no—
696C4⋊Dic47—21no—
697C4⋊Dic47—21no—
698C4⋊Dic47C2×D411yescharacteristic
699C4⋊Dic47C2×D411yescharacteristic
700C4⋊Dic47C2411yescharacteristic
701C4⋊Dic47C2411yescharacteristic
702Dic47⋊C4—21no—
703Dic47⋊C4—21no—
704Dic47⋊C4—21no—
705Dic47⋊C4—21no—
706Dic47⋊C4—21no—
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4C2×D411yescharacteristic
713Dic47⋊C4C2×D411yescharacteristic
714Dic47⋊C4C2×D411yescharacteristic
715Dic47⋊C4C2×D411yescharacteristic
716C4×Dic47—21no—
717C4×Dic47—21no—
718C4×Dic47C2411yescharacteristic
719C4×Dic47C2411yescharacteristic
720#10625329—41no—
721C2×C47⋊C8—41no—
722C2×C47⋊C8C2411yescharacteristic
723C2×C47⋊C8C2411yescharacteristic
724C2×C47⋊C8C2411yescharacteristic
725C2×C47⋊C8C2411yescharacteristic
726Dic188—41no—
727D376—22no—
728D376—22no—
729D376—41no—
730#10625325—22no—
731#10625325—22no—
732#10625325—41no—
733#10625325—41no—
734#10625324—41no—
735#10625324—41no—
736C8×D47—41no—
737C8×D47—41no—
738C23×C47—21no—
739C23×C47—21no—
740C23×C47—81no—
741C23×C47—81no—
742C23×C47—81no—
743C23×C47C22×D411yescharacteristic
744C23×C47C22×D411yescharacteristic
745C23×C47C22×D411yescharacteristic
746C22×D47—21no—
747C22×D47—21no—
748C22×D47—24no—
749C22×D47—21no—
750C22×D47—21no—
751C22×D47—41no—
752C22×D47—41no—
753C22×D47—41no—
754C22×D47—42no—
755C22×D47—42no—
756C22×D47—42no—
757C22×D47—81no—
758C22×D47—81no—
759C22×D47—81no—
760C22×D47—81no—
761C22×D47—81no—
762C22×D47—81no—
763C22×D47—81no—
764C22×D47—81no—
765C22×D47C22×D411yescharacteristic
766C22×D47C22×D411yescharacteristic
767Q8×C47—21no—
768Q8×C47—21no—
769Q8×C47—21no—
770Q8×C47—21no—
771Q8×C47—41no—
772Q8×C47—42no—
773D4×C47—21no—
774D4×C47—21no—
775D4×C47—21no—
776D4×C47—21no—
777D4×C47—41no—
778D4×C47—41no—
779D4×C47—41no—
780D4×C47—81no—
781D4×C47—81no—
782D4×C47—81no—
783D4×C47—81no—
784D4×C47—81no—
785C2×C4×C47—21no—
786C2×C4×C47—21no—
787C2×C4×C47—21no—
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×C47C22×D411yescharacteristic
799C2×C4×C47C22×D411yescharacteristic
800C2×C4×C47C22×D411yescharacteristic
801C2×C4×C47C2511yescharacteristic
802C22⋊D47—41no—
803C22⋊D47—41no—
804C22⋊D47—41no—
805C22⋊D47—41no—
806C22⋊D47—42no—
807C22⋊D47—42no—
808C22⋊D47—42no—
809C22⋊D47—42no—
810C22⋊D47—81no—
811C22⋊D47—81no—
812C22⋊D47—81no—
813C22⋊D47—81no—
814C22⋊D47—81no—
815C22⋊D47—81no—
816C22⋊D47—81no—
817C22⋊D47—81no—
818C2×Dic47—21no—
819C2×Dic47—21no—
820C2×Dic47—21no—
821C2×Dic47—21no—
822C2×Dic47—41no—
823C2×Dic47—81no—
824C2×Dic47—81no—
825C2×Dic47—81no—
826C2×Dic47—81no—
827C2×Dic47C22×D411yescharacteristic
828C2×Dic47C22×D411yescharacteristic
829C2×Dic47C22×D411yescharacteristic
830C2×Dic47C22×D411yescharacteristic
831C2×Dic47C22×D411yescharacteristic
832C2×Dic47C22×D411yescharacteristic
833D188—24no—
834D188—21no—
835D188—21no—
836D188—21no—
837D188—21no—
838D188—21no—
839D188—21no—
840D188—42no—
841D188—42no—
842D188—42no—
843D188—42no—
844D188—42no—
845D188—42no—
846D188—81no—
847D188—81no—
848D188—81no—
849D188H(5,𝔽2)12yes—
850D188H(5,𝔽2)12yes—
851C4×D47—21no—
852C4×D47—21no—
853C4×D47—21no—
854C4×D47—21no—
855C4×D47—41no—
856C4×D47—41no—
857C4×D47—42no—
858C4×D47—42no—
859C4×D47—42no—
860C4×D47—42no—
861C4×D47—42no—
862C4×D47—42no—
863C4×D47—42no—
864C4×D47—42no—
865C4×D47—81no—
866C4×D47—81no—
867C4×D47—81no—
868C4×D47—81no—
869C4×D47—81no—
870C4×D47—81no—
871Dic94—21no—
872Dic94—21no—
873Dic94—21no—
874Dic94—21no—
875Dic94—81no—
876C8×C47—21no—
877C8×C47—21no—
878C8×C47—21no—
879C8×C47—21no—
880C47⋊C8—21no—
881C47⋊C8—21no—
882C47⋊C8—21no—
883C47⋊C8—21no—
884#61614—471nomaximal, Sylow
885C22×C47—21no—
886C22×C47—21no—
887C22×C47—21no—
888C22×C47—21no—
889C22×C47—21no—
890C22×C47—21no—
891C22×C47—21no—
892C22×C47—21no—
893C22×C47—21no—
894C22×C47—41no—
895C22×C47—41no—
896C22×C47—41no—
897C22×C47—41no—
898C22×C47—41no—
899C22×C47—41no—
900C22×C47—162no—
901C22×C47C23×D411yescharacteristic
902C2×D47—21no—
903C2×D47—21no—
904C2×D47—21no—
905C2×D47—21no—
906C2×D47—21no—
907C2×D47—21no—
908C2×D47—22no—
909C2×D47—22no—
910C2×D47—41no—
911C2×D47—41no—
912C2×D47—41no—
913C2×D47—41no—
914C2×D47—41no—
915C2×D47—41no—
916C2×D47—41no—
917C2×D47—41no—
918C2×D47—41no—
919C2×D47—41no—
920C2×D47—84no—
921C2×D47—82no—
922C2×D47—162no—
923C2×D47—162no—
924C2×D47—162no—
925C4×C47—21no—
926C4×C47—21no—
927C4×C47—21no—
928C4×C47—41no—
929C4×C47—41no—
930C4×C47—41no—
931C4×C47—41no—
932C4×C47—41no—
933C4×C47—41no—
934C4×C47C2×H(5,𝔽2)11yescharacteristic
935C4×C47C2×H(5,𝔽2)11yescharacteristic
936Dic47—21no—
937Dic47—21no—
938Dic47—21no—
939Dic47—21no—
940Dic47—21no—
941Dic47—21no—
942Dic47—41no—
943Dic47—41no—
944Dic47—41no—
945Dic47—41no—
946#3542—471no—
947#3485—471no—
948#3330—471no—
949#3323—471no—
950#3319—471no—
951#3315—471no—
952#3307—471no—
953#3306—471no—
954#3303—471no—
955#3297—471no—
956#3284—471no—
957#3280—471no—
958#3273—471no—
959#3272—471no—
960#3268—471no—
961#3267—471no—
962#3267—471no—
963#3264—471no—
964#3225—471no—
965#3221—471no—
966#3201—471no—
967#3200D4711yescharacteristic, complemented
968#3197—471no—
969#3188—471no—
970#3122—471no—
971#3118—471no—
972#3012—471no—
973#3008—471no—
974#3006—471no—
975#3002—471no—
976#2976—471no—
977C2×C47—41no—
978C2×C47—41no—
979C2×C47—41no—
980C2×C47—81no—
981C2×C47—81no—
982C2×C47#348411yescharacteristic
983C2×C47#358411yescharacteristic
984C2×C47#358511yescharacteristic
985D47—41no—
986D47—41no—
987D47—42no—
988D47—42no—
989D47—81no—
990D47—81no—
991C2×H(5,𝔽2)—471no—
992C22×#41—471no—
993C2×AGL(1,ℤ/8)—471no—
994C2×AGL(1,ℤ/8)—471no—
995C2×AGL(1,ℤ/8)—471no—
996C2×AGL(1,ℤ/8)—471no—
997C2×#135—471no—
998C2×#135—471no—
999C2×#135—471no—
1000C22×D8—471no—
1001#562—941no—
1002#560—941no—
1003#555—471no—
1004#553—471no—
1005#552—471no—
1006#551—941no—
1007#550—471no—
1008#547—471no—
1009#547—471no—
1010#547—471no—
1011#547—471no—
1012#547—471no—
1013#547—941no—
1014#547—941no—
1015#546—471no—
1016#546—471no—
1017#546—471no—
1018#546—471no—
1019#546—471no—
1020#546—471no—
1021#546—941no—
1022#546—941no—
1023#546—941no—
1024D42—471no—
1025#542—471no—
1026#540—471no—
1027#540—941no—
1028#538—941no—
1029#537—471no—
1030#536—471no—
1031#536C2×D4711yescharacteristic, complemented
1032#535—941no—
1033#535C2×D4711yescharacteristic
1034#534—941no—
1035#534—941no—
1036#534—941no—
1037#525—471no—
1038#525—471no—
1039#525—471no—
1040C2×#123—941no—
1041C2×#123—941no—
1042C2×#121—471no—
1043#518—471no—
1044#497—471no—
1045#496—471no—
1046#495—471no—
1047#492—471no—
1048#491—471no—
1049#489—471no—
1050#488—471no—
1051#487—471no—
1052#485—471no—
1053#485—471no—
1054#485C2×D4711yescharacteristic, complemented
1055#485C2×D4711yescharacteristic, complemented
1056#484—471no—
1057#484—471no—
1058#483—471no—
1059#482—471no—
1060#482—471no—
1061#482C2×D4711yescharacteristic, complemented
1062#482C2×D4711yescharacteristic, complemented
1063#481—471no—
1064#478—471no—
1065#478—471no—
1066#476—471no—
1067#474—471no—
1068#470—471no—
1069#470—471no—
1070#469—471no—
1071#468—471no—
1072#468—471no—
1073#468—471no—
1074#468C2×D4711yescharacteristic, complemented
1075#468C2×D4711yescharacteristic, complemented
1076#467—471no—
1077#466—471no—
1078#466—471no—
1079#465—471no—
1080#465—471no—
1081#465—471no—
1082#465C2×D4711yescharacteristic, complemented
1083#465C2×D4711yescharacteristic, complemented
1084#464—471no—
1085#463—471no—
1086#463—471no—
1087#463—471no—
1088#463—471no—
1089#463—471no—
1090#462—471no—
1091#461—471no—
1092#461—471no—
1093#461—471no—
1094#459—471no—
1095#459—471no—
1096#452—471no—
1097#452—471no—
1098#452—471no—
1099#452—471no—
1100#452—471no—
1101#452—471no—
1102#452—471no—
1103#451—471no—
1104#450—471no—
1105#450—471no—
1106#450—471no—
1107#450C2×D4711yescharacteristic, complemented
1108#450C2×D4711yescharacteristic, complemented
1109#449—471no—
1110#449—471no—
1111#449—471no—
1112#449—471no—
1113#449—471no—
1114#449—471no—
1115#449—471no—
1116#449—471no—
1117#449—471no—
1118#449—471no—
1119#449—471no—
1120#449—471no—
1121#449—471no—
1122#448—471no—
1123#448C2×D4711yescharacteristic, complemented
1124#448C2×D4711yescharacteristic, complemented
1125#447—471no—
1126#447—471no—
1127#447—471no—
1128#447—471no—
1129#447—471no—
1130#447—471no—
1131#447—471no—
1132#442—471no—
1133#442—471no—
1134#442—471no—
1135#440—471no—
1136C4×SD16—471no—
1137C4×D8—471no—
1138C4×D8—471no—
1139C4×D8—471no—
1140#436—471no—
1141#436—471no—
1142#435—471no—
1143#435—471no—
1144#435—471no—
1145#435—471no—
1146C8×D4—471no—
1147C8×D4—471no—
1148#433—471no—
1149#433—471no—
1150#418—471no—
1151#417—471no—
1152#417—471no—
1153#417—471no—
1154#416—471no—
1155#416—471no—
1156#416—471no—
1157C2×#102—471no—
1158#408—471no—
1159#408C2×D4711yescharacteristic, complemented
1160#407—471no—
1161C2×C22⋊C8—471no—
1162C47#6161411yescharacteristic, complemented, Sylow
1163H(5,𝔽2)—1882no—
1164H(5,𝔽2)—1882no—
1165C2×#41—471no—
1166C2×#41—471no—
1167C2×#41—471no—
1168C2×#41—471no—
1169C2×#41—471no—
1170C2×#41—471no—
1171C2×#41—471no—
1172C2×#41—471no—
1173C2×#41—471no—
1174C2×#41—941no—
1175C2×#41—941no—
1176C2×#41—941no—
1177C2×#41—941no—
1178C2×#41—1882no—
1179C2×#41—1882no—
1180C2×#41C22×D4711yescharacteristic
1181C22×Q8C22×D4711yescharacteristic
1182C22×D4—471no—
1183C22×D4—471no—
1184C22×D4—471no—
1185C22×D4—471no—
1186C22×D4—941no—
1187C22×D4—941no—
1188C22×D4—941no—
1189C22×D4—941no—
1190C22×D4—941no—
1191C22×D4—941no—
1192C22×D4C22×D4711yescharacteristic
1193C23×C4—471no—
1194C23×C4—941no—
1195AGL(1,ℤ/8)—1882no—
1196AGL(1,ℤ/8)—1882no—
1197AGL(1,ℤ/8)—1882no—
1198AGL(1,ℤ/8)—1882no—
1199#135—1882no—
1200#135—1882no—
1201#135—1882no—
1202C2×Q16—471no—
1203C2×Q16—471no—
1204C2×Q16—471no—
1205C2×SD16—471no—
1206C2×SD16—471no—
1207C2×SD16—471no—
1208C2×SD16—471no—
1209C2×SD16—471no—
1210C2×SD16—471no—
1211C2×SD16—471no—
1212C2×SD16—471no—
1213C2×SD16C22×D4711yescharacteristic
1214C2×SD16C22×D4711yescharacteristic
1215C2×SD16C22×D4711yescharacteristic
1216C2×SD16C22×D4711yescharacteristic
1217C2×D8—471no—
1218C2×D8—471no—
1219C2×D8—471no—
1220C2×D8—471no—
1221C2×D8—471no—
1222C2×D8—471no—
1223C2×D8—471no—
1224C2×D8—471no—
1225C2×D8—471no—
1226C2×D8—1882no—
1227C2×M16—471no—
1228C2×M16—471no—
1229C2×M16—471no—
1230C2×M16C22×D4711yescharacteristic
1231C22×C8—471no—
1232C22×C8—471no—
1233C22×C8—471no—
1234C22×C8C22×D4711yescharacteristic
1235C4⋊Q8—21no—
1236C4⋊Q8—471no—
1237C4⋊Q8—471no—
1238C4⋊Q8—471no—
1239#127—21no—
1240#127—471no—
1241#127—941no—
1242#126—941no—
1243#126—941no—
1244#126—941no—
1245#125—471no—
1246#125—941no—
1247#124—21no—
1248#124—21no—
1249#124—471no—
1250#124—471no—
1251#124—471no—
1252#124—941no—
1253#124—941no—
1254#124—941no—
1255#123—21no—
1256#123—21no—
1257#123—471no—
1258#123—471no—
1259#123—941no—
1260#123—941no—
1261#123—941no—
1262#123—941no—
1263#123—941no—
1264#123—941no—
1265#123—941no—
1266#123—941no—
1267#123—941no—
1268#123—941no—
1269#123—941no—
1270#123—941no—
1271#123—941no—
1272#123—941no—
1273#123—941no—
1274#123—941no—
1275#123—941no—
1276#123—941no—
1277#123—941no—
1278#123—941no—
1279#123—941no—
1280#123—941no—
1281#123—941no—
1282#123—941no—
1283#123—941no—
1284C22⋊Q8—471no—
1285C22⋊Q8—471no—
1286C22⋊Q8—471no—
1287C22⋊Q8—471no—
1288C22⋊Q8—471no—
1289C22⋊Q8—471no—
1290C22⋊Q8—471no—
1291C22⋊Q8—941no—
1292C22⋊Q8—941no—
1293C22⋊Q8—941no—
1294C22⋊Q8—941no—
1295C22⋊Q8—941no—
1296C22⋊Q8C22×D4711yescharacteristic
1297C22⋊Q8C22×D4711yescharacteristic
1298C22⋊Q8C22×D4711yescharacteristic
1299C22⋊Q8C22×D4711yescharacteristic
1300#121—471no—
1301#121—471no—
1302#121—471no—
1303#121—471no—
1304#121—471no—
1305#121—471no—
1306#121—471no—
1307#121—471no—
1308#121—471no—
1309#121—941no—
1310#121—941no—
1311#121—941no—
1312#121—941no—
1313#121—941no—
1314#121—941no—
1315#121—941no—
1316#121—941no—
1317#121—941no—
1318#121—941no—
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#121C22×D4711yescharacteristic
1332#121C22×D4711yescharacteristic
1333#121C22×D4711yescharacteristic
1334#121C22×D4711yescharacteristic
1335#120—21no—
1336#120—21no—
1337#120—471no—
1338#120—471no—
1339#120—941no—
1340#120—941no—
1341#120—941no—
1342#120—941no—
1343#120—941no—
1344#120—941no—
1345#120—941no—
1346#120—941no—
1347#120—941no—
1348#120—941no—
1349C4×Q8—471no—
1350C4×D4—471no—
1351C4×D4—471no—
1352C4×D4—471no—
1353C4×D4—471no—
1354C4×D4—471no—
1355C4×D4—471no—
1356C4×D4—471no—
1357C4×D4—471no—
1358C4×D4—471no—
1359C4×D4—471no—
1360C4×D4—471no—
1361C4×D4—941no—
1362C4×D4—941no—
1363C4×D4—941no—
1364C4×D4—941no—
1365C4×D4—941no—
1366C4×D4—941no—
1367C4×D4—941no—
1368C4×D4—941no—
1369#117—471no—
1370#117—471no—
1371#117—941no—
1372#117—941no—
1373#117C22×D4711yescharacteristic
1374#117C22×D4711yescharacteristic
1375C2×C4⋊C4—471no—
1376C2×C4⋊C4—471no—
1377C2×C4⋊C4—941no—
1378C2×C4⋊C4—941no—
1379C2×C4⋊C4—941no—
1380C2×C4⋊C4—941no—
1381C2×C22⋊C4—941no—
1382C2×C22⋊C4—941no—
1383C2×C22⋊C4—941no—
1384C2×C22⋊C4—941no—
1385C2×C22⋊C4—941no—
1386C2×C22⋊C4—941no—
1387C2×C22⋊C4—941no—
1388C2×C22⋊C4—941no—
1389C2×C22⋊C4—941no—
1390#107—471no—
1391#107—471no—
1392#107C22×D4711yescharacteristic
1393#107C22×D4711yescharacteristic
1394#106—471no—
1395#106—471no—
1396#106C22×D4711yescharacteristic
1397#106C22×D4711yescharacteristic
1398C4⋊C8—471no—
1399C4⋊C8—471no—
1400C4⋊C8—471no—
1401C4⋊C8—471no—
1402#103—471no—
1403#103—471no—
1404#103—471no—
1405#103—471no—
1406#103—471no—
1407#103—471no—
1408#103—471no—
1409#103—471no—
1410#103—471no—
1411#103—471no—
1412#103C22×D4711yescharacteristic
1413#103C22×D4711yescharacteristic
1414#103C22×D4711yescharacteristic
1415#103C22×D4711yescharacteristic
1416#102—471no—
1417#102—471no—
1418#102—471no—
1419#102—471no—
1420#102—471no—
1421#102—471no—
1422#102—471no—
1423#102—471no—
1424#102—471no—
1425#102—471no—
1426#102—471no—
1427#102—471no—
1428#102—471no—
1429#102—471no—
1430#102C22×D4711yescharacteristic
1431#102C22×D4711yescharacteristic
1432#102C22×D4711yescharacteristic
1433#102C22×D4711yescharacteristic
1434C22⋊C8—471no—
1435C22⋊C8—471no—
1436C22⋊C8—471no—
1437C22⋊C8—471no—
1438C22⋊C8—471no—
1439C22⋊C8—471no—
1440C22⋊C8—471no—
1441C22⋊C8—471no—
1442C22⋊C8C22×D4711yescharacteristic
1443C22⋊C8C22×D4711yescharacteristic
1444C22⋊C8C22×D4711yescharacteristic
1445C22⋊C8C22×D4711yescharacteristic
1446#97—471no—
1447#97—471no—
1448C4×C8—471no—
1449C4×C8—471no—
1450C24—21no—
1451C24—471no—
1452C24—941no—
1453C24—941no—
1454C24—941no—
1455C24—941no—
1456#41—41no—
1457#41—41no—
1458#41—942no—
1459#41—942no—
1460#41—942no—
1461#41—942no—
1462#41—942no—
1463#41—942no—
1464#41—3762no—
1465#41—1881no—
1466#41—1881no—
1467#41—1881no—
1468#41—1881no—
1469#41—1881no—
1470#41—1881no—
1471#41—1881no—
1472#41—1881no—
1473#41—1881no—
1474#41—1881no—
1475#41—1881no—
1476#41—1881no—
1477#41—1884no—
1478#41—1884no—
1479#41—1884no—
1480C2×Q8—21no—
1481C2×Q8—41no—
1482C2×Q8—41no—
1483C2×Q8—471no—
1484C2×Q8—471no—
1485C2×Q8—941no—
1486C2×Q8D4×D4711yescharacteristic
1487C2×Q8C23×D4711yescharacteristic
1488C2×Q8C23×D4711yescharacteristic
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—41no—
1495C2×D4—41no—
1496C2×D4—471no—
1497C2×D4—471no—
1498C2×D4—471no—
1499C2×D4—471no—
1500C2×D4—471no—
1501C2×D4—471no—
1502C2×D4—471no—
1503C2×D4—471no—
1504C2×D4—942no—
1505C2×D4—942no—
1506C2×D4—942no—
1507C2×D4—942no—
1508C2×D4—941no—
1509C2×D4—941no—
1510C2×D4—941no—
1511C2×D4—941no—
1512C2×D4—941no—
1513C2×D4—941no—
1514C2×D4—941no—
1515C2×D4—941no—
1516C2×D4—941no—
1517C2×D4—941no—
1518C2×D4—941no—
1519C2×D4—941no—
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—3762no—
1531C2×D4—3762no—
1532C2×D4—1881no—
1533C2×D4—1881no—
1534C2×D4—1884no—
1535C2×D4—1881no—
1536C2×D4—1881no—
1537C2×D4—1884no—
1538C2×D4—1884no—
1539C2×D4—1884no—
1540C2×D4D4×D4711yescharacteristic
1541C2×D4D4×D4711yescharacteristic
1542C2×D4D4×D4711yescharacteristic
1543C2×D4C23×D4711yescharacteristic
1544C2×D4C23×D4711yescharacteristic
1545C22×C4—21no—
1546C22×C4—471no—
1547C22×C4—471no—
1548C22×C4—471no—
1549C22×C4—471no—
1550C22×C4—471no—
1551C22×C4—941no—
1552C22×C4—941no—
1553C22×C4—941no—
1554C22×C4—941no—
1555C22×C4—941no—
1556C22×C4—941no—
1557C22×C4—941no—
1558C22×C4—941no—
1559C22×C4—941no—
1560C22×C4—941no—
1561C22×C4—941no—
1562C22×C4—941no—
1563C22×C4—941no—
1564C22×C4—941no—
1565C22×C4—941no—
1566C22×C4—941no—
1567C22×C4—941no—
1568C22×C4—941no—
1569C22×C4—1881no—
1570C22×C4—1881no—
1571C22×C4—1884no—
1572C22×C4C23×D4711yescharacteristic
1573C22×C4C23×D4711yescharacteristic
1574C22×C4C23×D4711yescharacteristic
1575Q16—1881no—
1576Q16—1881no—
1577Q16—1881no—
1578SD16—41no—
1579SD16—41no—
1580SD16—41no—
1581SD16—41no—
1582SD16—942no—
1583SD16—942no—
1584SD16—1881no—
1585SD16—1881no—
1586SD16—1881no—
1587SD16—1881no—
1588SD16—1881no—
1589SD16—1881no—
1590D8—942no—
1591D8—942no—
1592D8—942no—
1593D8—942no—
1594D8—942no—
1595D8—942no—
1596D8—1881no—
1597D8—1881no—
1598D8—1881no—
1599M16—41no—
1600M16—1881no—
1601M16—1881no—
1602M16—1881no—
1603C2×C8—41no—
1604C2×C8—471no—
1605C2×C8—471no—
1606C2×C8—471no—
1607C2×C8—471no—
1608C2×C8—1881no—
1609C2×C8—1881no—
1610C2×C8—1881no—
1611C2×C8C23×D4711yescharacteristic
1612C2×C8C23×D4711yescharacteristic
1613C2×C8C23×D4711yescharacteristic
1614C2×C8C23×D4711yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—471no—
1620C4⋊C4—471no—
1621C4⋊C4—471no—
1622C4⋊C4—471no—
1623C4⋊C4—471no—
1624C4⋊C4—471no—
1625C4⋊C4—471no—
1626C4⋊C4—471no—
1627C4⋊C4—941no—
1628C4⋊C4—941no—
1629C4⋊C4—941no—
1630C4⋊C4—941no—
1631C4⋊C4—941no—
1632C4⋊C4—941no—
1633C4⋊C4—941no—
1634C4⋊C4—941no—
1635C4⋊C4—941no—
1636C4⋊C4—941no—
1637C4⋊C4—941no—
1638C4⋊C4—941no—
1639C4⋊C4—941no—
1640C4⋊C4—941no—
1641C4⋊C4—941no—
1642C4⋊C4C23×D4711yescharacteristic
1643C4⋊C4C23×D4711yescharacteristic
1644C4⋊C4C23×D4711yescharacteristic
1645C4⋊C4C23×D4711yescharacteristic
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—471no—
1657C22⋊C4—471no—
1658C22⋊C4—471no—
1659C22⋊C4—471no—
1660C22⋊C4—471no—
1661C22⋊C4—471no—
1662C22⋊C4—471no—
1663C22⋊C4—471no—
1664C22⋊C4—471no—
1665C22⋊C4—471no—
1666C22⋊C4—941no—
1667C22⋊C4—941no—
1668C22⋊C4—941no—
1669C22⋊C4—941no—
1670C22⋊C4—941no—
1671C22⋊C4—941no—
1672C22⋊C4—941no—
1673C22⋊C4—941no—
1674C22⋊C4—941no—
1675C22⋊C4—941no—
1676C22⋊C4—941no—
1677C22⋊C4—941no—
1678C22⋊C4—941no—
1679C22⋊C4—941no—
1680C22⋊C4—941no—
1681C22⋊C4—941no—
1682C22⋊C4—941no—
1683C22⋊C4—941no—
1684C22⋊C4—941no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4—941no—
1689C22⋊C4—941no—
1690C22⋊C4—941no—
1691C22⋊C4—941no—
1692C42—21no—
1693C42—21no—
1694C42—471no—
1695C42—471no—
1696C42—941no—
1697C42—941no—
1698C23—21no—
1699C23—21no—
1700C23—81no—
1701C23—81no—
1702C23—81no—
1703C23—471no—
1704C23—471no—
1705C23—944no—
1706C23—941no—
1707C23—941no—
1708C23—941no—
1709C23—941no—
1710C23—3761no—
1711C23—3761no—
1712C23—3761no—
1713C23—3761no—
1714C23—3761no—
1715C23—3761no—
1716C23—3761no—
1717C23—3761no—
1718C23—1881no—
1719C23—1881no—
1720C23—1881no—
1721C23—1882no—
1722C23—1882no—
1723C23—1882no—
1724C23C2×D4×D4711yescharacteristic
1725C23C2×D4×D4711yescharacteristic
1726C23C2×D4×D4711yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—21no—
1731Q8—41no—
1732Q8—42no—
1733Q8—941no—
1734Q8—941no—
1735Q8—941no—
1736Q8—941no—
1737Q8—3761no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—41no—
1743D4—41no—
1744D4—41no—
1745D4—81no—
1746D4—81no—
1747D4—81no—
1748D4—81no—
1749D4—81no—
1750D4—472no—
1751D4—472no—
1752D4—944no—
1753D4—941no—
1754D4—941no—
1755D4—941no—
1756D4—941no—
1757D4—941no—
1758D4—941no—
1759D4—3761no—
1760D4—3761no—
1761D4—3761no—
1762D4—3761no—
1763D4—3761no—
1764D4—3761no—
1765D4—3761no—
1766D4—3761no—
1767D4—3761no—
1768D4—3761no—
1769D4—3761no—
1770D4—1882no—
1771D4—1882no—
1772D4—1882no—
1773D4—1882no—
1774D4—1882no—
1775D4—1882no—
1776D4—1881no—
1777D4—1881no—
1778D4—1881no—
1779D4—1881no—
1780D4—1882no—
1781D4—1882no—
1782D4—1882no—
1783D4—1882no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—42no—
1797C2×C4—471no—
1798C2×C4—471no—
1799C2×C4—471no—
1800C2×C4—471no—
1801C2×C4—471no—
1802C2×C4—471no—
1803C2×C4—941no—
1804C2×C4—941no—
1805C2×C4—941no—
1806C2×C4—941no—
1807C2×C4—941no—
1808C2×C4—941no—
1809C2×C4—941no—
1810C2×C4—941no—
1811C2×C4—3761no—
1812C2×C4—3761no—
1813C2×C4—3761no—
1814C2×C4—3761no—
1815C2×C4—3761no—
1816C2×C4—3761no—
1817C2×C4—3761no—
1818C2×C4—3761no—
1819C2×C4—3761no—
1820C2×C4—3761no—
1821C2×C4—1881no—
1822C2×C4—1881no—
1823C2×C4—1882no—
1824C2×C4—1882no—
1825C2×C4—1882no—
1826C2×C4—1882no—
1827C2×C4—1882no—
1828C2×C4—1882no—
1829C2×C4—1882no—
1830C2×C4—1882no—
1831C2×C4—1881no—
1832C2×C4C2×D4×D4711yescharacteristic
1833C2×C4C2×D4×D4711yescharacteristic
1834C2×C4C2×D4×D4711yescharacteristic
1835C2×C4C24×D4711yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—941no—
1841C8—941no—
1842C8—941no—
1843C8—941no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—162no—
1860C22—941no—
1861C22—941no—
1862C22—941no—
1863C22—941no—
1864C22—941no—
1865C22—941no—
1866C22—942no—
1867C22—942no—
1868C22—3764no—
1869C22—3762no—
1870C22—1881no—
1871C22—1881no—
1872C22—1881no—
1873C22—1881no—
1874C22—1881no—
1875C22—1881no—
1876C22—1881no—
1877C22—1881no—
1878C22—1881no—
1879C22—1881no—
1880C22—7522no—
1881C22—7522no—
1882C22—7522no—
1883C22C22×D4×D4711yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—941no—
1894C4—941no—
1895C4—941no—
1896C4—941no—
1897C4—941no—
1898C4—941no—
1899C4—1881no—
1900C4—1881no—
1901C4—1881no—
1902C4—1881no—
1903C4H(5,𝔽2)×D4711yescharacteristic
1904C4H(5,𝔽2)×D4711yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—81no—
1909C2—81no—
1910C2—3761no—
1911C2—3761no—
1912C2—1881no—
1913C2—1881no—
1914C2—1882no—
1915C2—1882no—
1916C2#2025702011yescharacteristic
1917C2#2025816011yescharacteristic
1918C2#2025816611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3200C2
socleC22×C47C23×D4
hypercenter#3200D47
hypocenterC47#61614
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3200

Complements

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

NH ≅ G/Ntype
1. #20257706C2semidirect
2. #20257031C2semidirect
3. #20255688C2semidirect
4. #20255602C2semidirect
5. #20255547C2semidirect
6. #20255482C2semidirect
7. #20255359C2semidirect
8. #20255355C2semidirect
9. #20255314C2semidirect
10. #20255244C2semidirect
11. #20255115C2semidirect
12. #20255066C2semidirect
13. #20254996C2semidirect
14. #20254986C2semidirect
15. #20254935C2semidirect
16. #20254911C2semidirect
17. #20254910C2semidirect
18. #20254872C2semidirect
19. #20254495C2semidirect
20. #20254445C2semidirect
21. #20254270C2semidirect
22. #20254228C2semidirect
23. #20254157C2semidirect
24. #20253627C2semidirect
25. #20253567C2semidirect
26. #20252695C2semidirect
27. #20252654C2semidirect
28. #20252639C2semidirect
29. #20252605C2semidirect
30. #20252431C2semidirect
31. C47×#3200C2semidirect
32. C2×#13094070C22semidirect
33. C22×#10625354C22semidirect
34. C2×#13094052C22semidirect
35. C2×#13094051C22semidirect
36. C2×#13094051C22semidirect
37. C2×#13094050C22semidirect
38. C2×#13094046C22semidirect
39. C2×#13094045C22semidirect
40. C2×#13094045C22semidirect
41. C22×#10625334C22semidirect
44. #15689836C22semidirect
45. #15689825C22semidirect
46. #15689812C22semidirect
48. #15689791C22semidirect
52. #15689775C22semidirect
53. #15689775C22semidirect
54. #15689775C22semidirect
55. #15689773C22semidirect
56. #15689770C22semidirect
57. #15689767C22semidirect
61. #15689764C22semidirect
62. #15689764C22semidirect
63. #15689764C22semidirect
65. D4×C22⋊D47C22semidirect
66. #15689740C22semidirect
68. #15689726C22semidirect
71. #15689697C22semidirect
76. #15689635C22semidirect
77. #15689633C22semidirect
81. #121×D47C22semidirect
82. #15689597C22semidirect
83. #15689514C22semidirect
84. #15689509C22semidirect
85. #15689504C22semidirect
86. #15689494C22semidirect
87. #15689490C22semidirect
88. #15689484C22semidirect
89. #15689479C22semidirect
90. #15689472C22semidirect
91. #15689466C22semidirect
92. #15689464C22semidirect
93. #15689460C22semidirect
94. #15689456C22semidirect
95. #15689451C22semidirect
96. #15689449C22semidirect
97. #15689447C22semidirect
98. #15689443C22semidirect
99. #15689426C22semidirect
100. #15689422C22semidirect
101. #15689412C22semidirect
102. #15689402C22semidirect
103. #15689382C22semidirect
104. #15689379C22semidirect
105. #15689375C22semidirect
106. #15689371C22semidirect
107. #15689370C22semidirect
108. #15689368C22semidirect
109. #15689362C22semidirect
110. #15689360C22semidirect
111. #15689358C22semidirect
112. #15689354C22semidirect
113. #15689353C22semidirect
114. #15689351C22semidirect
115. #15689348C22semidirect
116. #15689341C22semidirect
117. #15689340C22semidirect
118. #15689340C22semidirect
119. #15689337C22semidirect
120. #15689337C22semidirect
121. #15689332C22semidirect
122. #15689327C22semidirect
123. #15689326C22semidirect
124. #15689326C22semidirect
125. #15689317C22semidirect
126. #15689317C22semidirect
127. #15689288C22semidirect
128. #15689288C22semidirect
129. #15689287C22semidirect
130. #15689287C22semidirect
131. #15689286C22semidirect
132. #15689283C22semidirect
133. #15689283C22semidirect
134. #15689279C22semidirect
135. #15689276C22semidirect
136. #15689276C22semidirect
137. #15689275C22semidirect
138. #15689271C22semidirect
139. #15689271C22semidirect
140. #15689270C22semidirect
141. #15689270C22semidirect
142. #15689269C22semidirect
143. #15689267C22semidirect
144. #15689267C22semidirect
145. #15689267C22semidirect
146. #15689267C22semidirect
148. #15689266C22semidirect
149. #15689266C22semidirect
150. #15689266C22semidirect
151. #15689262C22semidirect
152. #15689259C22semidirect
153. #15689259C22semidirect
154. #15689258C22semidirect
156. #15689256C22semidirect
157. #15689256C22semidirect
158. #15689256C22semidirect
159. #15689234C22semidirect
160. #15689232C22semidirect
161. #15689232C22semidirect
162. #15689222C22semidirect
163. #15689210C22semidirect
164. #15689205C22semidirect
165. #15689203C22semidirect
166. #15689203C22semidirect
167. #15689199C22semidirect
168. #15689198C22semidirect
169. #15689197C22semidirect
170. #15689194C22semidirect
171. #15689192C22semidirect
172. #15689191C22semidirect
173. C8×C22⋊D47C22semidirect
174. (C22⋊D47)⋊C8C22semidirect
175. #15689181C22semidirect
176. #15689181C22semidirect
177. #15689127C22semidirect
178. #15689125C22semidirect
179. #15689123C22semidirect
180. #15689123C22semidirect
181. #15689118C22semidirect
182. #15689118C22semidirect
183. #15689117C22semidirect
184. C2×#13093946C22semidirect
185. #15689090C22semidirect
186. #15689085C22semidirect
187. C22⋊C8×D47C22semidirect
188. C47×#536C22semidirect
190. C47×#485C22semidirect
191. C47×#485C22semidirect
192. C47×#482C22semidirect
193. C47×#482C22semidirect
194. C47×#468C22semidirect
195. C47×#468C22semidirect
196. C47×#465C22semidirect
197. C47×#465C22semidirect
198. C47×#450C22semidirect
199. C47×#450C22semidirect
200. C47×#448C22semidirect
201. C47×#448C22semidirect
202. C47×#408C22semidirect
967. #3200D47semidirect
1031. #536C2×D47semidirect
1054. #485C2×D47semidirect
1055. #485C2×D47semidirect
1061. #482C2×D47semidirect
1062. #482C2×D47semidirect
1074. #468C2×D47semidirect
1075. #468C2×D47semidirect
1082. #465C2×D47semidirect
1083. #465C2×D47semidirect
1107. #450C2×D47semidirect
1108. #450C2×D47semidirect
1123. #448C2×D47semidirect
1124. #448C2×D47semidirect
1159. #408C2×D47semidirect
1162. C47#61614semidirect

Maximal subgroups

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

subgroupindex
#202577062
#202570312
#202556882
#202556022
#202555472
#202554822
#202553592
#202553552
#202553142
#202552442
#202551152
#202550662
#202549962
#202549862
#202549352
#202549112
#202549102
#202548722
#202544952
#202544452
#202542702
#202542282
#202541572
#202536272
#202535672
#202526952
#202526542
#202526392
#202526052
#202524312
C47×#32002
#6161447