Finite Group Databasebeta

← #27093383

Subgroups — #27093383

Order 12032.

2162 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#554×D47C211yesmaximal, characteristic, complemented
2#20256872C211yesmaximal, characteristic
3#20255724C211yesmaximal, characteristic, complemented
4#20255721C211yesmaximal, characteristic, complemented
5#20255700C211yesmaximal, characteristic, complemented
6#20255697C211yesmaximal, characteristic, complemented
7#20255506C211yesmaximal, characteristic, complemented
8#20255501C211yesmaximal, characteristic, complemented
9#20255498C211yesmaximal, characteristic, complemented
10#20255493C211yesmaximal, characteristic, complemented
11#20255474C211yesmaximal, characteristic, complemented
12#20255469C211yesmaximal, characteristic, complemented
13#20255466C211yesmaximal, characteristic, complemented
14#20255262C211yesmaximal, characteristic, complemented
15#20255259C211yesmaximal, characteristic, complemented
16#20255208C211yesmaximal, characteristic, complemented
17#20255205C211yesmaximal, characteristic, complemented
18#20253780C211yesmaximal, characteristic, complemented
19#20253315C211yesmaximal, characteristic, complemented
20#20253307C211yesmaximal, characteristic, complemented
21#20253196C211yesmaximal, characteristic, complemented
22#20253015C211yesmaximal, characteristic, complemented
23#20253013C211yesmaximal, characteristic, complemented
24#20252858C211yesmaximal, characteristic, complemented
25#20252645C211yesmaximal, characteristic, complemented
26#20252643C211yesmaximal, characteristic, complemented
27#20252210C211yesmaximal, characteristic, complemented
28#20252121C211yesmaximal, characteristic, complemented
29C2×#15689121C211yesmaximal, characteristic, complemented
30#417×D47C211yesmaximal, characteristic, complemented
31C47×#3314C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C2×#41×D47C2211yescharacteristic
34C2×#13094056C2211yescharacteristic, complemented
35C2×#13094053C2211yescharacteristic
36C2×#13094053C2211yescharacteristic, complemented
37C22×#10625324C2211yescharacteristic, complemented
38C2×M16×D47C2211yescharacteristic, complemented
39#15689834C2211yescharacteristic, complemented
40#15689833C2211yescharacteristic, complemented
41#15689832—21no—
42#15689831C2211yescharacteristic
43#15689831C2211yescharacteristic, complemented
44#15689830C2211yescharacteristic, complemented
45#15689829—21no—
46#15689828C2211yescharacteristic
47#15689828C2211yescharacteristic, complemented
48#15689827—21no—
49#15689827—21no—
50#15689791C2211yescharacteristic
51#15689786C2211yescharacteristic
52#15689782C2211yescharacteristic
53#15689781C2211yescharacteristic
54#15689772C2211yescharacteristic
55#15689771—21no—
56#15689768C2211yescharacteristic
57#15689763—21no—
58#15689762—21no—
59D4×C22⋊D47C2211yescharacteristic
60#15689755—21no—
61#15689672C2211yescharacteristic
62#15689668—21no—
63C4⋊Q8×D47C2211yescharacteristic, complemented
64#125×D47—21no—
65#15689636C2211yescharacteristic
66#15689633C2211yescharacteristic
67#15689631—21no—
68#15689629—21no—
69C22⋊Q8×D47—21no—
70C22⋊Q8×D47—21no—
71C22⋊Q8×D47C2211yescharacteristic, complemented
72C22⋊Q8×D47C2211yescharacteristic, complemented
73C4×#10625352C2211yescharacteristic
74C4×Q8×D47C2211yescharacteristic, complemented
75C2×(C22⋊D47)⋊C4—21no—
76C4×D4×D47—21no—
77C4×D4×D47C2211yescharacteristic
78C2×C4⋊C4×D47C2211yescharacteristic, complemented
79C2×C4⋊C4×D47C2211yescharacteristic, complemented
80#15689485C2211yescharacteristic, complemented
81#15689483C2211yescharacteristic, complemented
82#15689482C2211yescharacteristic, complemented
83#15689472C2211yescharacteristic, complemented
84#15689472C2211yescharacteristic, complemented
85#15689468C2211yescharacteristic, complemented
86#15689468C2211yescharacteristic, complemented
87#15689460C2211yescharacteristic, complemented
88#15689460C2211yescharacteristic, complemented
89#15689456C2211yescharacteristic, complemented
90#15689454C2211yescharacteristic, complemented
91#15689453C2211yescharacteristic, complemented
92#15689452C2211yescharacteristic, complemented
93#15689452C2211yescharacteristic, complemented
94#15689442C2211yescharacteristic, complemented
95#15689441C2211yescharacteristic, complemented
96#15689440C2211yescharacteristic, complemented
97#15689440C2211yescharacteristic, complemented
98#15689438C2211yescharacteristic, complemented
99#15689438C2211yescharacteristic, complemented
100#15689434C2211yescharacteristic, complemented
101#15689417C2211yescharacteristic, complemented
102#15689417C2211yescharacteristic, complemented
103#15689411C2211yescharacteristic, complemented
104#15689411C2211yescharacteristic, complemented
105#15689409C2211yescharacteristic, complemented
106#15689405C2211yescharacteristic, complemented
107#15689403C2211yescharacteristic, complemented
108#15689381C2211yescharacteristic, complemented
109#15689380C2211yescharacteristic, complemented
110#15689379C2211yescharacteristic, complemented
111#15689378C2211yescharacteristic, complemented
112#15689372C2211yescharacteristic, complemented
113#15689370C2211yescharacteristic, complemented
114#15689367C2211yescharacteristic, complemented
115#15689365C2211yescharacteristic, complemented
116#15689363C2211yescharacteristic, complemented
117#15689362C2211yescharacteristic, complemented
118#15689354C2211yescharacteristic, complemented
119#15689352C2211yescharacteristic, complemented
120#15689351C2211yescharacteristic, complemented
121#15689349C2211yescharacteristic, complemented
122#15689346C2211yescharacteristic, complemented
123#15689345C2211yescharacteristic, complemented
124#15689342C2211yescharacteristic, complemented
125#15689332C2211yescharacteristic, complemented
126#15689331C2211yescharacteristic, complemented
127#15689322C2211yescharacteristic, complemented
128#15689321C2211yescharacteristic, complemented
129#15689287C2211yescharacteristic, complemented
130#15689286C2211yescharacteristic, complemented
131#15689286C2211yescharacteristic, complemented
132#15689285C2211yescharacteristic, complemented
133#15689283C2211yescharacteristic, complemented
134#15689282C2211yescharacteristic, complemented
135#15689282C2211yescharacteristic, complemented
136#15689281C2211yescharacteristic, complemented
137#15689280C2211yescharacteristic, complemented
138#15689278C2211yescharacteristic, complemented
139#15689277C2211yescharacteristic, complemented
140#15689275C2211yescharacteristic, complemented
141#15689274C2211yescharacteristic, complemented
142#15689272C2211yescharacteristic, complemented
143#15689231C2211yescharacteristic, complemented
144#15689228C2211yescharacteristic, complemented
145#15689223C2211yescharacteristic, complemented
146#15689217C2211yescharacteristic, complemented
147#15689215C2211yescharacteristic, complemented
148#15689214C2211yescharacteristic, complemented
149SD16×Dic47C2211yescharacteristic, complemented
150#15689199C2211yescharacteristic, complemented
151#15689198C2211yescharacteristic, complemented
152#15689196C2211yescharacteristic, complemented
153#15689195C2211yescharacteristic, complemented
154#15689193C2211yescharacteristic, complemented
155C8×C22⋊D47C2211yescharacteristic
156(C22⋊D47)⋊C8C2211yescharacteristic
157#15689164C2211yescharacteristic, complemented
158#15689164C2211yescharacteristic, complemented
159#15689164C2211yescharacteristic, complemented
160#15689145C2211yescharacteristic, complemented
161#15689130C2211yescharacteristic, complemented
162#15689125C2211yescharacteristic, complemented
163#15689124C2211yescharacteristic, complemented
164#15689123C2211yescharacteristic, complemented
165#15689123C2211yescharacteristic, complemented
166#15689123C2211yescharacteristic, complemented
167#15689122C2211yescharacteristic, complemented
168#15689121C2211yescharacteristic
169#15689121C2211yescharacteristic
170#15689121C2211yescharacteristic
171#15689121C2211yescharacteristic, complemented
172#15689121C2211yescharacteristic, complemented
173#15689121C2211yescharacteristic, complemented
174#15689121C2211yescharacteristic, complemented
175#15689121C2211yescharacteristic, complemented
176#15689121C2211yescharacteristic, complemented
177#15689121C2211yescharacteristic, complemented
178C2×#13093949C2211yescharacteristic, complemented
179C2×#13093947C2211yescharacteristic, complemented
180#103×D47C2211yescharacteristic, complemented
181#103×D47C2211yescharacteristic, complemented
182C2×#13093945C2211yescharacteristic, complemented
183#102×D47C2211yescharacteristic, complemented
184#102×D47C2211yescharacteristic, complemented
185#15689085C2211yescharacteristic, complemented
186#15689085C2211yescharacteristic, complemented
187#15689075C2211yescharacteristic, complemented
188C47×#554C2211yescharacteristic, complemented
189C47×#546C2211yescharacteristic
190C47×#489C2211yescharacteristic, complemented
191C47×#484C2211yescharacteristic, complemented
192C47×#480C2211yescharacteristic, complemented
193C47×#474C2211yescharacteristic, complemented
194C47×#468C2211yescharacteristic, complemented
195C47×#467C2211yescharacteristic, complemented
196C47×#464C2211yescharacteristic, complemented
197C47×#452C2211yescharacteristic, complemented
198C47×#450C2211yescharacteristic, complemented
199C47×#440C2211yescharacteristic, complemented
200C47×#435C2211yescharacteristic, complemented
201C47×#417C2211yescharacteristic, complemented
202C2×#102×C47C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625350—21no—
205C2×#10625350C2311yescharacteristic
206C2×#10625352—24no—
207C2×#10625352—21no—
208C2×#10625352—21no—
209C2×#10625352—21no—
210C2×#10625352—42no—
211C2×#10625352C2311yescharacteristic
212C2×#10625352C2311yescharacteristic
213C2×#10625352C2311yescharacteristic
214C2×#10625352C2311yescharacteristic
215#41×D47—24no—
216#41×D47—42no—
217C22×Dic94C2311yescharacteristic
218C2×Q8×D47—21no—
219C2×Q8×D47C2311yescharacteristic
220C2×Q8×D47C2311yescharacteristic
221C22×C22⋊D47—21no—
222C22×C22⋊D47—21no—
223C2×D4×D47—21no—
224C2×D4×D47D411yescharacteristic
225C2×D4×D47C2311yescharacteristic
226C23×Dic47—21no—
227C22×C4×D47—21no—
228C22×C4×D47—21no—
229C22×C4×D47—21no—
230C22×C4×D47C2311yescharacteristic
231C22×C4×D47C2311yescharacteristic
232#13094056—42no—
233#13094053—24no—
234#13094053—42no—
235C2×Dic188C2311yescharacteristic
236C2×Dic188C2311yescharacteristic
237C2×#10625337C2311yescharacteristic
238C2×#10625337C2311yescharacteristic
239C2×#10625337C2311yescharacteristic
240C2×#10625325C2311yescharacteristic
241C2×#10625335C2311yescharacteristic
242C2×#10625335C2311yescharacteristic
243C2×#10625336C2311yescharacteristic
244C2×#10625329C2311yescharacteristic
245C2×#10625324—42no—
246C2×#10625324C2311yescharacteristic
247C2×#10625324C2311yescharacteristic
248C2×#10625324C2311yescharacteristic
249C2×#10625324C2311yescharacteristic
250C2×#10625324C2311yescharacteristic
251C2×#10625324C2311yescharacteristic
252M16×D47—42no—
253C22×C47⋊C8C2311yescharacteristic
254C2×C8×D47C2311yescharacteristic
255C2×C8×D47C2311yescharacteristic
256#13094024C2311yescharacteristic
257#13094023—21no—
258#13094023—21no—
259#13094023C2311yescharacteristic
260#13094023C2311yescharacteristic
261#13094022—21no—
262#13094022C2311yescharacteristic
263#13094020—21no—
264#13094020C2311yescharacteristic
265#13094016—21no—
266#13094015—21no—
267#13094015—21no—
268#13094014—21no—
269#13094014—21no—
270#13094014—21no—
271#13094014—21no—
272#13094012C2311yescharacteristic
273#13094010—21no—
274#13094010—21no—
275#13094009—21no—
276#13094008—21no—
277#13094007—21no—
278#13094006—21no—
279#13094005—21no—
280#13094004—21no—
281#13094004—21no—
282#13094004C2311yescharacteristic
283#13094004C2311yescharacteristic
284#13094004C2311yescharacteristic
285#13094003—21no—
286#13094003—21no—
287#13094003C2311yescharacteristic
288#13094003C2311yescharacteristic
289#13094003C2311yescharacteristic
290#13094002—21no—
291#13094002—21no—
292#13094002—21no—
293#13094002—21no—
294#13094002—21no—
295#13094002—21no—
296#13094002—21no—
297#13094002—21no—
298#13094001—21no—
299#13094001—21no—
300#13094001—21no—
301#13094001—21no—
302#13094001—21no—
303#13094001—21no—
304#13094001—21no—
305#13094001—21no—
306#13094000—21no—
307#13094000—21no—
308#13094000C2311yescharacteristic
309#13094000C2311yescharacteristic
310#13094000C2311yescharacteristic
311#13093999C2311yescharacteristic
312#13093998—21no—
313#13093998C2311yescharacteristic
314#13093997—21no—
315#13093997—21no—
316#13093997—21no—
317#13093997—21no—
318#13093996—21no—
319#13093996—21no—
320#13093996—21no—
321#13093996—21no—
322#13093995C2311yescharacteristic
323#13093994—21no—
324#13093994—21no—
325#13093993—21no—
326#13093992—21no—
327#13093992—21no—
328Q8×Dic47C2311yescharacteristic
329C4×Dic94—21no—
330C4×Dic94C2311yescharacteristic
331C4×Dic94C2311yescharacteristic
332#13093989—21no—
333#13093989C2311yescharacteristic
334#13093989C2311yescharacteristic
335C4×D188—21no—
336C4×D188C2311yescharacteristic
337D4×Dic47—21no—
338D4×Dic47—21no—
339D4×Dic47D411yescharacteristic
340D4×Dic47C2311yescharacteristic
341#13093986—21no—
342#13093986—21no—
343#13093986D411yescharacteristic
344C4×C22⋊D47—21no—
345C4×C22⋊D47—21no—
346C4×C22⋊D47—21no—
347C4×C22⋊D47C2311yescharacteristic
348C4×C22⋊D47C2311yescharacteristic
349(C22⋊D47)⋊C4—21no—
350(C22⋊D47)⋊C4—21no—
351(C22⋊D47)⋊C4—21no—
352(C22⋊D47)⋊C4—21no—
353(C22⋊D47)⋊C4—21no—
354(C22⋊D47)⋊C4—21no—
355(C22⋊D47)⋊C4—21no—
356(C22⋊D47)⋊C4—21no—
357(C22⋊D47)⋊C4—21no—
358(C22⋊D47)⋊C4—21no—
359(C22⋊D47)⋊C4—21no—
360(C22⋊D47)⋊C4D411yescharacteristic
361(C22⋊D47)⋊C4D411yescharacteristic
362#13093982C2311yescharacteristic
363#13093980—21no—
364C2×C4⋊Dic47C2311yescharacteristic
365C2×C4⋊Dic47C2311yescharacteristic
366C2×Dic47⋊C4—21no—
367C2×Dic47⋊C4—21no—
368C2×Dic47⋊C4—21no—
369C4⋊C4×D47—21no—
370C4⋊C4×D47—21no—
371C4⋊C4×D47—21no—
372C4⋊C4×D47—21no—
373C4⋊C4×D47—21no—
374C4⋊C4×D47—21no—
375C4⋊C4×D47—21no—
376C4⋊C4×D47—21no—
377C4⋊C4×D47D411yescharacteristic
378C4⋊C4×D47C2311yescharacteristic
379C4⋊C4×D47C2311yescharacteristic
380C4⋊C4×D47C2311yescharacteristic
381C4⋊C4×D47C2311yescharacteristic
382C4⋊C4×D47C2311yescharacteristic
383C4⋊C4×D47C2311yescharacteristic
384C4⋊C4×D47C2311yescharacteristic
385C2×(C2×D47)⋊C4—21no—
386C22⋊C4×D47—21no—
387C22⋊C4×D47—21no—
388C22⋊C4×D47D411yescharacteristic
389C22⋊C4×D47D411yescharacteristic
390C2×C4×Dic47—21no—
391C42×D47—21no—
392C42×D47C2311yescharacteristic
393#13093957C2311yescharacteristic
394#13093957C2311yescharacteristic
395#13093957C2311yescharacteristic
396#13093956C2311yescharacteristic
397#13093956C2311yescharacteristic
398#13093956C2311yescharacteristic
399#13093955C2311yescharacteristic
400#13093955C2311yescharacteristic
401#13093955C2311yescharacteristic
402C4⋊(C47⋊C8)C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093947C2311yescharacteristic
422#13093947C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093946C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093945C2311yescharacteristic
430#13093945C2311yescharacteristic
431#13093945C2311yescharacteristic
432#13093944C2311yescharacteristic
433#13093944C2311yescharacteristic
434#13093944C2311yescharacteristic
435C22⋊(C47⋊C8)C2311yescharacteristic
436C22⋊(C47⋊C8)C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441#13093935C2311yescharacteristic
442C8×Dic47C2311yescharacteristic
443C8×Dic47C2311yescharacteristic
444C2×#41×C47C2311yescharacteristic
445C22×D4×C47C2311yescharacteristic
446C2×Q16×C47C2311yescharacteristic
447C2×SD16×C47C2311yescharacteristic
448C2×SD16×C47C2311yescharacteristic
449C2×M16×C47C2311yescharacteristic
450C22×C8×C47C2311yescharacteristic
451C4⋊Q8×C47C2311yescharacteristic
452#125×C47—21no—
453#124×C47C2311yescharacteristic
454#123×C47—21no—
455C22⋊Q8×C47—21no—
456C22⋊Q8×C47—21no—
457C22⋊Q8×C47C2311yescharacteristic
458C22⋊Q8×C47C2311yescharacteristic
459C22⋊Q8×C47C2311yescharacteristic
460#121×C47—21no—
461#121×C47C2311yescharacteristic
462#120×C47—21no—
463C4×Q8×C47C2311yescharacteristic
464C4×D4×C47—21no—
465C4×D4×C47C2311yescharacteristic
466C4×D4×C47C2311yescharacteristic
467C2×C4⋊C4×C47C2311yescharacteristic
468C2×C4⋊C4×C47C2311yescharacteristic
469C2×C22⋊C4×C47—21no—
470#107×C47C2311yescharacteristic
471#107×C47C2311yescharacteristic
472#107×C47C2311yescharacteristic
473C4⋊C8×C47C2311yescharacteristic
474#103×C47C2311yescharacteristic
475#103×C47C2311yescharacteristic
476#103×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484C22⋊C8×C47C2311yescharacteristic
485C22⋊C8×C47C2311yescharacteristic
486#97×C47C2311yescharacteristic
487C24×C47—21no—
488C23×D47—21no—
489C23×D47C2×D411yescharacteristic
490C23×D47C2×D411yescharacteristic
491#41×C47—22no—
492#41×C47—41no—
493C2×Q8×C47—21no—
494C2×Q8×C47C2411yescharacteristic
495C2×Q8×C47C2411yescharacteristic
496C2×D4×C47—22no—
497C2×D4×C47—21no—
498C2×D4×C47—21no—
499C2×D4×C47—21no—
500C2×D4×C47—41no—
501C2×D4×C47C2×D411yescharacteristic
502C2×D4×C47C2411yescharacteristic
503C2×D4×C47C2411yescharacteristic
504C22×C4×C47—21no—
505C22×C4×C47—21no—
506C22×C4×C47—21no—
507C22×C4×C47—21no—
508C22×C4×C47C2411yescharacteristic
509C22×C4×C47C2411yescharacteristic
510C2×C22⋊D47—21no—
511C2×C22⋊D47—21no—
512C2×C22⋊D47—21no—
513C2×C22⋊D47—21no—
514C2×C22⋊D47—21no—
515C2×C22⋊D47—21no—
516C2×C22⋊D47—21no—
517C2×C22⋊D47—21no—
518C2×C22⋊D47—21no—
519C2×C22⋊D47—21no—
520C2×C22⋊D47—44no—
521C2×C22⋊D47—44no—
522C2×C22⋊D47C2×D411yescharacteristic
523C2×C22⋊D47C2×D411yescharacteristic
524C22×Dic47—21no—
525C22×Dic47—21no—
526C22×Dic47—21no—
527C22×Dic47—21no—
528C22×Dic47—21no—
529C22×Dic47—21no—
530C22×Dic47—21no—
531C22×Dic47—21no—
532C22×Dic47—44no—
533C22×Dic47C2×D411yescharacteristic
534C22×Dic47C2×D411yescharacteristic
535#10625354—22no—
536#10625354—22no—
537Q8×D47—22no—
538Q8×D47—22no—
539Q8×D47—22no—
540Q8×D47—41no—
541Q8×D47—82no—
542#10625352—22no—
543#10625352—22no—
544#10625352—22no—
545#10625352—22no—
546#10625352—22no—
547#10625352—41no—
548#10625352—41no—
549#10625352—44no—
550#10625352—44no—
551#10625352—44no—
552#10625352#4114yes—
553D4×D47—24no—
554D4×D47—22no—
555D4×D47—41no—
556D4×D47—44no—
557#10625350—22no—
558#10625350—41no—
559#10625350—44no—
560C2×D188—21no—
561C2×D188—21no—
562C2×D188C2×D411yescharacteristic
563C2×D188C2411yescharacteristic
564C2×C4×D47—22no—
565C2×C4×D47—22no—
566C2×C4×D47—22no—
567C2×C4×D47—22no—
568C2×C4×D47—21no—
569C2×C4×D47—21no—
570C2×C4×D47—21no—
571C2×C4×D47—21no—
572C2×C4×D47—21no—
573C2×C4×D47—21no—
574C2×C4×D47—21no—
575C2×C4×D47—21no—
576C2×C4×D47—21no—
577C2×C4×D47—21no—
578C2×C4×D47—21no—
579C2×C4×D47—44no—
580C2×C4×D47—82no—
581C2×C4×D47—82no—
582C2×C4×D47C2×D411yescharacteristic
583C2×C4×D47C2×D411yescharacteristic
584C2×C4×D47C2×D411yescharacteristic
585C2×C4×D47C2×D411yescharacteristic
586C2×C4×D47C2×D411yescharacteristic
587C2×C4×D47C2×D411yescharacteristic
588C2×C4×D47C2411yescharacteristic
589C2×C4×D47C2411yescharacteristic
590C2×C4×D47C2411yescharacteristic
591C2×Dic94—22no—
592C2×Dic94—21no—
593C2×Dic94—21no—
594C2×Dic94—21no—
595C2×Dic94—21no—
596C2×Dic94—21no—
597C2×Dic94—21no—
598C2×Dic94—41no—
599C2×Dic94C2411yescharacteristic
600C2×Dic94C2411yescharacteristic
601C2×Dic94C2411yescharacteristic
602Q16×C47—41no—
603SD16×C47—22no—
604SD16×C47—41no—
605M16×C47—41no—
606C2×C8×C47—41no—
607C2×C8×C47C2411yescharacteristic
608C2×C8×C47C2411yescharacteristic
609C2×C8×C47C2411yescharacteristic
610C2×C8×C47C2411yescharacteristic
611C4⋊C4×C47—21no—
612C4⋊C4×C47—21no—
613C4⋊C4×C47—21no—
614C4⋊C4×C47—21no—
615C4⋊C4×C47—21no—
616C4⋊C4×C47—21no—
617C4⋊C4×C47—21no—
618C4⋊C4×C47C2×D411yescharacteristic
619C4⋊C4×C47C2411yescharacteristic
620C4⋊C4×C47C2411yescharacteristic
621C4⋊C4×C47C2411yescharacteristic
622C4⋊C4×C47C2411yescharacteristic
623C22⋊C4×C47—21no—
624C22⋊C4×C47—21no—
625C22⋊C4×C47—21no—
626C22⋊C4×C47—21no—
627C22⋊C4×C47—21no—
628C22⋊C4×C47—21no—
629C22⋊C4×C47—21no—
630C22⋊C4×C47C2×D411yescharacteristic
631C22⋊C4×C47C2×D411yescharacteristic
632C42×C47—21no—
633C42×C47C2411yescharacteristic
634C22⋊Dic47—21no—
635C22⋊Dic47—21no—
636C22⋊Dic47—21no—
637C22⋊Dic47—21no—
638C22⋊Dic47—21no—
639C22⋊Dic47C2×D411yescharacteristic
640C22⋊Dic47C2×D411yescharacteristic
641#10625337—22no—
642#10625337—41no—
643#10625337—41no—
644#10625336—41no—
645#10625335—22no—
646#10625335—41no—
647(C2×D47)⋊C4—21no—
648(C2×D47)⋊C4—21no—
649(C2×D47)⋊C4—21no—
650(C2×D47)⋊C4—21no—
651(C2×D47)⋊C4—21no—
652(C2×D47)⋊C4—21no—
653(C2×D47)⋊C4—21no—
654(C2×D47)⋊C4—21no—
655(C2×D47)⋊C4—21no—
656(C2×D47)⋊C4—21no—
657(C2×D47)⋊C4—21no—
658(C2×D47)⋊C4C2×D411yescharacteristic
659(C2×D47)⋊C4C2×D411yescharacteristic
660(C2×D47)⋊C4C2×D411yescharacteristic
661(C2×D47)⋊C4C2×D411yescharacteristic
662C4⋊Dic47—21no—
663C4⋊Dic47—21no—
664C4⋊Dic47—21no—
665C4⋊Dic47—21no—
666C4⋊Dic47—21no—
667C4⋊Dic47—21no—
668C4⋊Dic47—21no—
669C4⋊Dic47C2×D411yescharacteristic
670C4⋊Dic47C2411yescharacteristic
671C4⋊Dic47C2411yescharacteristic
672C4⋊Dic47C2411yescharacteristic
673C4⋊Dic47C2411yescharacteristic
674Dic47⋊C4—21no—
675Dic47⋊C4—21no—
676Dic47⋊C4—21no—
677Dic47⋊C4—21no—
678Dic47⋊C4—21no—
679Dic47⋊C4—21no—
680Dic47⋊C4—21no—
681Dic47⋊C4—21no—
682Dic47⋊C4—21no—
683Dic47⋊C4—21no—
684Dic47⋊C4—21no—
685Dic47⋊C4—21no—
686Dic47⋊C4—21no—
687Dic47⋊C4—21no—
688Dic47⋊C4—21no—
689Dic47⋊C4—21no—
690Dic47⋊C4—21no—
691Dic47⋊C4—21no—
692Dic47⋊C4—21no—
693Dic47⋊C4—21no—
694Dic47⋊C4—21no—
695Dic47⋊C4C2×D411yescharacteristic
696Dic47⋊C4C2×D411yescharacteristic
697C4×Dic47—21no—
698C4×Dic47—21no—
699C4×Dic47—21no—
700C4×Dic47—21no—
701C4×Dic47—21no—
702C4×Dic47—21no—
703C4×Dic47C2×D411yescharacteristic
704C4×Dic47C2×D411yescharacteristic
705C4×Dic47C2411yescharacteristic
706#10625329—41no—
707C2×C47⋊C8—41no—
708C2×C47⋊C8C2411yescharacteristic
709C2×C47⋊C8C2411yescharacteristic
710C2×C47⋊C8C2411yescharacteristic
711C2×C47⋊C8C2411yescharacteristic
712Dic188—22no—
713Dic188—41no—
714#10625325—41no—
715#10625324—22no—
716#10625324—22no—
717#10625324—22no—
718#10625324—22no—
719#10625324—41no—
720#10625324—41no—
721C8×D47—41no—
722C8×D47—41no—
723C23×C47—21no—
724C23×C47—21no—
725C23×C47—42no—
726C23×C47—42no—
727C23×C47—81no—
728C23×C47C22×D411yescharacteristic
729C23×C47C22×D411yescharacteristic
730C22×D47—22no—
731C22×D47—22no—
732C22×D47—22no—
733C22×D47—22no—
734C22×D47—21no—
735C22×D47—41no—
736C22×D47—41no—
737C22×D47—42no—
738C22×D47—42no—
739C22×D47—81no—
740C22×D47C22×D411yescharacteristic
741C22×D47C22×D411yescharacteristic
742C22×D47C22×D411yescharacteristic
743Q8×C47—21no—
744Q8×C47—21no—
745Q8×C47—21no—
746Q8×C47—21no—
747Q8×C47—81no—
748D4×C47—22no—
749D4×C47—21no—
750D4×C47—21no—
751D4×C47—21no—
752D4×C47—42no—
753D4×C47—42no—
754D4×C47—81no—
755D4×C47C2×#4112yes—
756C2×C4×C47—21no—
757C2×C4×C47—21no—
758C2×C4×C47—21no—
759C2×C4×C47—21no—
760C2×C4×C47—21no—
761C2×C4×C47—21no—
762C2×C4×C47—21no—
763C2×C4×C47—21no—
764C2×C4×C47—21no—
765C2×C4×C47—21no—
766C2×C4×C47—42no—
767C2×C4×C47—81no—
768C2×C4×C47—81no—
769C2×C4×C47—81no—
770C2×C4×C47C22×D411yescharacteristic
771C2×C4×C47C22×D411yescharacteristic
772C2×C4×C47C22×D411yescharacteristic
773C2×C4×C47C22×D411yescharacteristic
774C2×C4×C47C2511yescharacteristic
775C22⋊D47—24no—
776C22⋊D47—22no—
777C22⋊D47—42no—
778C22⋊D47—42no—
779C22⋊D47—42no—
780C22⋊D47—42no—
781C22⋊D47—42no—
782C22⋊D47—42no—
783C22⋊D47—42no—
784C22⋊D47—42no—
785C22⋊D47—81no—
786C22⋊D47#13714yescomplemented
787C2×Dic47—21no—
788C2×Dic47—22no—
789C2×Dic47—22no—
790C2×Dic47—24no—
791C2×Dic47—21no—
792C2×Dic47—21no—
793C2×Dic47—21no—
794C2×Dic47—21no—
795C2×Dic47—21no—
796C2×Dic47—21no—
797C2×Dic47—42no—
798C2×Dic47—42no—
799C2×Dic47—42no—
800C2×Dic47—42no—
801C2×Dic47—42no—
802C2×Dic47—81no—
803C2×Dic47—81no—
804C2×Dic47C22×D411yescharacteristic
805C2×Dic47C22×D411yescharacteristic
806C2×Dic47C22×D411yescharacteristic
807C2×Dic47C22×D411yescharacteristic
808C2×Dic47C22×D411yescharacteristic
809D188—22no—
810D188—21no—
811D188—21no—
812D188—42no—
813D188—81no—
814C4×D47—22no—
815C4×D47—22no—
816C4×D47—21no—
817C4×D47—21no—
818C4×D47—21no—
819C4×D47—21no—
820C4×D47—22no—
821C4×D47—22no—
822C4×D47—22no—
823C4×D47—41no—
824C4×D47—42no—
825C4×D47—42no—
826C4×D47—42no—
827C4×D47—42no—
828C4×D47—42no—
829C4×D47—42no—
830C4×D47—42no—
831C4×D47—81no—
832C4×D47—81no—
833C4×D47—81no—
834C4×D47—81no—
835C4×D47C2×#4112yes—
836C4×D47H(5,𝔽2)12yes—
837Dic94—21no—
838Dic94—21no—
839Dic94—21no—
840Dic94—21no—
841Dic94—21no—
842Dic94—42no—
843Dic94—42no—
844Dic94—42no—
845Dic94—81no—
846Dic94—81no—
847Dic94—81no—
848Dic94C2×#4112yes—
849C8×C47—21no—
850C8×C47—21no—
851C8×C47—21no—
852C8×C47—21no—
853C47⋊C8—21no—
854C47⋊C8—21no—
855C47⋊C8—21no—
856C47⋊C8—21no—
857#61162—471nomaximal, Sylow
858C22×C47—21no—
859C22×C47—21no—
860C22×C47—21no—
861C22×C47—22no—
862C22×C47—21no—
863C22×C47—21no—
864C22×C47—41no—
865C22×C47—41no—
866C22×C47—41no—
867C22×C47—41no—
868C22×C47—41no—
869C22×C47—84no—
870C22×C47C2×#13712yes—
871C22×C47C23×D411yescharacteristic
872C2×D47—21no—
873C2×D47—21no—
874C2×D47—21no—
875C2×D47—21no—
876C2×D47—21no—
877C2×D47—21no—
878C2×D47—21no—
879C2×D47—44no—
880C2×D47—44no—
881C2×D47—41no—
882C2×D47—41no—
883C2×D47—41no—
884C2×D47—84no—
885C2×D47#54612yes—
886C2×D47C2×#13712yes—
887C4×C47—21no—
888C4×C47—21no—
889C4×C47—21no—
890C4×C47—21no—
891C4×C47—41no—
892C4×C47—41no—
893C4×C47—41no—
894C4×C47—41no—
895C4×C47—41no—
896C4×C47—41no—
897C4×C47C22×#4111yescharacteristic
898C4×C47C2×H(5,𝔽2)11yescharacteristic
899Dic47—21no—
900Dic47—22no—
901Dic47—21no—
902Dic47—21no—
903Dic47—41no—
904Dic47—41no—
905Dic47—41no—
906Dic47—41no—
907Dic47—41no—
908Dic47—41no—
909Dic47#54612yes—
910Dic47C2×#13712yes—
911C2×#554—471no—
912D4×#41—471no—
913#3333—471no—
914#3333—471no—
915#3331—471no—
916#3331—471no—
917#3316—471no—
918#3316—471no—
919#3316—471no—
920#3316—471no—
921#3314—471no—
922#3314—471no—
923#3314—471no—
924#3314D4711yescharacteristic, complemented
925#3299—471no—
926#3299—471no—
927#3295—471no—
928#3295—471no—
929#3141—471no—
930#3092—471no—
931#3092—471no—
932#3079—471no—
933#3056—471no—
934#3056—471no—
935#3037—471no—
936#3007—471no—
937#3007—471no—
938C4×#137—471no—
939D4×M16—471no—
940C2×#417—471no—
941C2×#417—471no—
942C2×C47—22no—
943C2×C47—41no—
944C2×C47—42no—
945C2×C47—81no—
946C2×C47C2×#54611yescharacteristic
947C2×C47C22×#13711yescharacteristic
948C2×C47#358511yescharacteristic
949D47—22no—
950D47—22no—
951D47—41no—
952D47—81no—
953C22×#41—471no—
954C22×#41—471no—
955C2×#137—471no—
956C2×#137—471no—
957C2×#137—471no—
958C22×M16—471no—
959C22×M16—471no—
960#554—471no—
961#554—471no—
962#554—471no—
963#554—471no—
964#554—471no—
965#554—471no—
966#554—471no—
967#554—941no—
968#554—941no—
969#554—941no—
970#554—941no—
971#554C2×D4711yescharacteristic, complemented
972#550—471no—
973D4×Q8—471no—
974#548—471no—
975#548—471no—
976#547—471no—
977#547—941no—
978#546—471no—
979#546—941no—
980#546—941no—
981#546C2×D4711yescharacteristic
982D42—471no—
983D42—941no—
984#532—471no—
985#532—941no—
986C2×C4⋊Q8—471no—
987C2×#125—941no—
988#525—471no—
989#525—471no—
990#525—941no—
991#525—941no—
992C2×C22⋊Q8—471no—
993C2×C22⋊Q8—471no—
994C2×C22⋊Q8—941no—
995C2×C22⋊Q8—941no—
996C4×#41—471no—
997C2×C4×Q8—471no—
998C2×C4×D4—471no—
999C2×C4×D4—941no—
1000C2×C4×D4—941no—
1001C22×C4⋊C4—471no—
1002C22×C4⋊C4—471no—
1003#489—471no—
1004#489—471no—
1005#489—471no—
1006#489C2×D4711yescharacteristic, complemented
1007#487—471no—
1008#487—471no—
1009#486—471no—
1010#486—471no—
1011#484—471no—
1012#484—471no—
1013#484—471no—
1014#484C2×D4711yescharacteristic, complemented
1015#483—471no—
1016#483—471no—
1017#483—471no—
1018#483—471no—
1019#481—471no—
1020#481—471no—
1021#481—471no—
1022#481—471no—
1023#480—471no—
1024#480—471no—
1025#480—471no—
1026#480C2×D4711yescharacteristic, complemented
1027#477—471no—
1028#477—471no—
1029#476—471no—
1030#476—471no—
1031#475—471no—
1032#475—471no—
1033#474—471no—
1034#474C2×D4711yescharacteristic, complemented
1035#470—471no—
1036#470—471no—
1037#470—471no—
1038#470—471no—
1039#468—471no—
1040#468—471no—
1041#468—471no—
1042#468C2×D4711yescharacteristic, complemented
1043#467—471no—
1044#467—471no—
1045#467—471no—
1046#467C2×D4711yescharacteristic, complemented
1047#465—471no—
1048#465—471no—
1049#465—471no—
1050#465—471no—
1051#464—471no—
1052#464—471no—
1053#464—471no—
1054#464C2×D4711yescharacteristic, complemented
1055#462—471no—
1056#462—471no—
1057#460—471no—
1058#460—471no—
1059#452—471no—
1060#452—471no—
1061#452—471no—
1062#452—471no—
1063#452—471no—
1064#452—471no—
1065#452—471no—
1066#452C2×D4711yescharacteristic, complemented
1067#451—471no—
1068#451—471no—
1069#451—471no—
1070#451—471no—
1071#450—471no—
1072#450—471no—
1073#450—471no—
1074#450C2×D4711yescharacteristic, complemented
1075#441—471no—
1076#441—471no—
1077#440—471no—
1078#440C2×D4711yescharacteristic, complemented
1079C4×Q16—471no—
1080C4×Q16—471no—
1081C4×SD16—471no—
1082C4×SD16—471no—
1083#436—471no—
1084#436—471no—
1085#435—471no—
1086#435—471no—
1087#435—471no—
1088#435C2×D4711yescharacteristic, complemented
1089C8×D4—471no—
1090C8×D4—471no—
1091#428—471no—
1092#428—471no—
1093#428—471no—
1094#423—471no—
1095#419—471no—
1096#417—471no—
1097#417—471no—
1098#417—471no—
1099#417—471no—
1100#417—471no—
1101#417—471no—
1102#417—471no—
1103#417—471no—
1104#417—471no—
1105#417—471no—
1106#417—471no—
1107#417—471no—
1108#417—471no—
1109#417—471no—
1110#417—471no—
1111#417—471no—
1112#417C2×D4711yescharacteristic, complemented
1113C2×#103—471no—
1114C2×#103—471no—
1115C2×#103—471no—
1116C2×#103—471no—
1117C2×#102—471no—
1118C2×#102—471no—
1119C2×#102—471no—
1120C2×#102C2×D4711yescharacteristic, complemented
1121#407—471no—
1122#407—471no—
1123C4×M16—471no—
1124C47#6116211yescharacteristic, complemented, Sylow
1125C2×#41—471no—
1126C2×#41—471no—
1127C2×#41—471no—
1128C2×#41—471no—
1129C2×#41—471no—
1130C2×#41—471no—
1131C2×#41—941no—
1132C2×#41—941no—
1133C2×#41—941no—
1134C2×#41—941no—
1135C2×#41—944no—
1136C2×#41—944no—
1137C2×#41—1882no—
1138C2×#41—1882no—
1139C2×#41C22×D4711yescharacteristic
1140C22×Q8—471no—
1141C22×Q8—471no—
1142C22×Q8—471no—
1143C22×Q8—941no—
1144C22×D4—471no—
1145C22×D4—471no—
1146C22×D4—941no—
1147C22×D4—941no—
1148C22×D4—941no—
1149C22×D4C22×D4711yescharacteristic
1150C23×C4—471no—
1151C23×C4—471no—
1152C23×C4—941no—
1153C23×C4—941no—
1154C23×C4—941no—
1155C23×C4—941no—
1156#137—944no—
1157#137—1882no—
1158#137—1882no—
1159C2×Q16—471no—
1160C2×Q16—471no—
1161C2×Q16—471no—
1162C2×Q16—471no—
1163C2×Q16—471no—
1164C2×Q16C22×D4711yescharacteristic
1165C2×SD16—471no—
1166C2×SD16—471no—
1167C2×SD16—471no—
1168C2×SD16—471no—
1169C2×SD16C22×D4711yescharacteristic
1170C2×SD16C22×D4711yescharacteristic
1171C2×M16—471no—
1172C2×M16—471no—
1173C2×M16—471no—
1174C2×M16—471no—
1175C2×M16—471no—
1176C2×M16—471no—
1177C2×M16—471no—
1178C2×M16—1882no—
1179C2×M16—1882no—
1180C2×M16C22×D4711yescharacteristic
1181C22×C8—471no—
1182C22×C8—471no—
1183C22×C8—471no—
1184C22×C8C22×D4711yescharacteristic
1185C4⋊Q8—471no—
1186C4⋊Q8—471no—
1187C4⋊Q8—471no—
1188C4⋊Q8—471no—
1189C4⋊Q8—941no—
1190C4⋊Q8—941no—
1191C4⋊Q8—941no—
1192C4⋊Q8C22×D4711yescharacteristic
1193#127—471no—
1194#127—941no—
1195#125—21no—
1196#125—941no—
1197#125—941no—
1198#125—941no—
1199#125—941no—
1200#125—941no—
1201#125—941no—
1202#125—941no—
1203#124—471no—
1204#124—941no—
1205#124—941no—
1206#124C22×D4711yescharacteristic
1207#123—21no—
1208#123—941no—
1209#123—941no—
1210#123—941no—
1211#123—941no—
1212#123—941no—
1213C22⋊Q8—21no—
1214C22⋊Q8—21no—
1215C22⋊Q8—471no—
1216C22⋊Q8—471no—
1217C22⋊Q8—471no—
1218C22⋊Q8—471no—
1219C22⋊Q8—471no—
1220C22⋊Q8—471no—
1221C22⋊Q8—471no—
1222C22⋊Q8—471no—
1223C22⋊Q8—471no—
1224C22⋊Q8—941no—
1225C22⋊Q8—941no—
1226C22⋊Q8—941no—
1227C22⋊Q8—941no—
1228C22⋊Q8—941no—
1229C22⋊Q8—941no—
1230C22⋊Q8—941no—
1231C22⋊Q8—941no—
1232C22⋊Q8—941no—
1233C22⋊Q8—941no—
1234C22⋊Q8—941no—
1235C22⋊Q8—941no—
1236C22⋊Q8—941no—
1237C22⋊Q8—941no—
1238C22⋊Q8—941no—
1239C22⋊Q8—941no—
1240C22⋊Q8—941no—
1241C22⋊Q8—941no—
1242C22⋊Q8—941no—
1243C22⋊Q8—941no—
1244C22⋊Q8—941no—
1245C22⋊Q8—941no—
1246C22⋊Q8C22×D4711yescharacteristic
1247C22⋊Q8C22×D4711yescharacteristic
1248C22⋊Q8C22×D4711yescharacteristic
1249#121—21no—
1250#121—471no—
1251#121—471no—
1252#121—471no—
1253#121—941no—
1254#121—941no—
1255#121—941no—
1256#121—941no—
1257#121—941no—
1258#121—941no—
1259#121—941no—
1260#121—941no—
1261#121—941no—
1262#121C22×D4711yescharacteristic
1263#120—21no—
1264#120—941no—
1265#120—941no—
1266#120—941no—
1267#120—941no—
1268#120—941no—
1269C4×Q8—471no—
1270C4×Q8—471no—
1271C4×Q8—471no—
1272C4×Q8—471no—
1273C4×Q8—471no—
1274C4×Q8—941no—
1275C4×Q8—941no—
1276C4×Q8C22×D4711yescharacteristic
1277C4×D4—21no—
1278C4×D4—471no—
1279C4×D4—471no—
1280C4×D4—471no—
1281C4×D4—471no—
1282C4×D4—471no—
1283C4×D4—471no—
1284C4×D4—471no—
1285C4×D4—471no—
1286C4×D4—941no—
1287C4×D4—941no—
1288C4×D4—941no—
1289C4×D4—941no—
1290C4×D4—941no—
1291C4×D4—941no—
1292C4×D4—941no—
1293C4×D4—941no—
1294C4×D4—941no—
1295C4×D4—941no—
1296C4×D4—941no—
1297C4×D4—941no—
1298C4×D4—941no—
1299C4×D4—941no—
1300C4×D4—941no—
1301C4×D4—941no—
1302C4×D4—941no—
1303C4×D4—941no—
1304C4×D4—941no—
1305C4×D4C22×D4711yescharacteristic
1306C4×D4C22×D4711yescharacteristic
1307#117—471no—
1308#117—941no—
1309C2×C4⋊C4—471no—
1310C2×C4⋊C4—471no—
1311C2×C4⋊C4—471no—
1312C2×C4⋊C4—471no—
1313C2×C4⋊C4—471no—
1314C2×C4⋊C4—471no—
1315C2×C4⋊C4—471no—
1316C2×C4⋊C4—471no—
1317C2×C4⋊C4—471no—
1318C2×C4⋊C4—471no—
1319C2×C4⋊C4—941no—
1320C2×C4⋊C4—941no—
1321C2×C4⋊C4—941no—
1322C2×C4⋊C4—941no—
1323C2×C4⋊C4—941no—
1324C2×C4⋊C4—941no—
1325C2×C4⋊C4—941no—
1326C2×C4⋊C4—941no—
1327C2×C4⋊C4—941no—
1328C2×C4⋊C4—941no—
1329C2×C4⋊C4—941no—
1330C2×C4⋊C4C22×D4711yescharacteristic
1331C2×C4⋊C4C22×D4711yescharacteristic
1332C2×C22⋊C4—21no—
1333C2×C22⋊C4—471no—
1334C2×C22⋊C4—471no—
1335C2×C22⋊C4—941no—
1336C2×C22⋊C4—941no—
1337C2×C22⋊C4—941no—
1338C2×C42—471no—
1339C2×C42—941no—
1340C2×C42—941no—
1341#107—471no—
1342#107—471no—
1343#107—471no—
1344#107C22×D4711yescharacteristic
1345#107C22×D4711yescharacteristic
1346#107C22×D4711yescharacteristic
1347#106—471no—
1348#106—471no—
1349#106—471no—
1350#106—471no—
1351#106—471no—
1352#106—471no—
1353C4⋊C8—471no—
1354C4⋊C8—471no—
1355C4⋊C8—471no—
1356C4⋊C8C22×D4711yescharacteristic
1357#103—471no—
1358#103—471no—
1359#103—471no—
1360#103—471no—
1361#103—471no—
1362#103—471no—
1363#103—471no—
1364#103—471no—
1365#103—471no—
1366#103—471no—
1367#103—471no—
1368#103—471no—
1369#103—471no—
1370#103—471no—
1371#103—471no—
1372#103—471no—
1373#103—471no—
1374#103—471no—
1375#103C22×D4711yescharacteristic
1376#103C22×D4711yescharacteristic
1377#103C22×D4711yescharacteristic
1378#103C22×D4711yescharacteristic
1379#102—471no—
1380#102—471no—
1381#102—471no—
1382#102—471no—
1383#102—471no—
1384#102—471no—
1385#102—471no—
1386#102—471no—
1387#102—471no—
1388#102—471no—
1389#102—471no—
1390#102—471no—
1391#102C22×D4711yescharacteristic
1392#102C22×D4711yescharacteristic
1393#102C22×D4711yescharacteristic
1394#102C22×D4711yescharacteristic
1395#102C22×D4711yescharacteristic
1396#102C22×D4711yescharacteristic
1397C22⋊C8—471no—
1398C22⋊C8—471no—
1399C22⋊C8—471no—
1400C22⋊C8—471no—
1401C22⋊C8—471no—
1402C22⋊C8—471no—
1403C22⋊C8C22×D4711yescharacteristic
1404C22⋊C8C22×D4711yescharacteristic
1405#97—471no—
1406#97C22×D4711yescharacteristic
1407C4×C8—471no—
1408C4×C8—471no—
1409C24—21no—
1410C24—471no—
1411C24—471no—
1412C24—941no—
1413#41—22no—
1414#41—41no—
1415#41—474no—
1416#41—942no—
1417#41—942no—
1418#41—942no—
1419#41—942no—
1420#41—942no—
1421#41—942no—
1422#41—942no—
1423#41—942no—
1424#41—1881no—
1425#41—1884no—
1426#41—1884no—
1427#41—1884no—
1428#41—1881no—
1429#41—1881no—
1430#41—1884no—
1431C2×Q8—21no—
1432C2×Q8—471no—
1433C2×Q8—471no—
1434C2×Q8—471no—
1435C2×Q8—941no—
1436C2×Q8—941no—
1437C2×Q8—941no—
1438C2×Q8—941no—
1439C2×Q8—942no—
1440C2×Q8—942no—
1441C2×Q8—942no—
1442C2×Q8—941no—
1443C2×Q8—941no—
1444C2×Q8—942no—
1445C2×Q8—3762no—
1446C2×Q8—1881no—
1447C2×Q8—1881no—
1448C2×Q8C23×D4711yescharacteristic
1449C2×Q8C23×D4711yescharacteristic
1450C2×D4—22no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—41no—
1455C2×D4—471no—
1456C2×D4—471no—
1457C2×D4—471no—
1458C2×D4—471no—
1459C2×D4—941no—
1460C2×D4—941no—
1461C2×D4—941no—
1462C2×D4—941no—
1463C2×D4—941no—
1464C2×D4—944no—
1465C2×D4—941no—
1466C2×D4—942no—
1467C2×D4—941no—
1468C2×D4—941no—
1469C2×D4—941no—
1470C2×D4—941no—
1471C2×D4—941no—
1472C2×D4—941no—
1473C2×D4—1881no—
1474C2×D4—1884no—
1475C2×D4—1884no—
1476C2×D4—1884no—
1477C2×D4D4×D4711yescharacteristic
1478C2×D4C23×D4711yescharacteristic
1479C2×D4C23×D4711yescharacteristic
1480C22×C4—21no—
1481C22×C4—21no—
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—471no—
1485C22×C4—471no—
1486C22×C4—471no—
1487C22×C4—471no—
1488C22×C4—471no—
1489C22×C4—471no—
1490C22×C4—471no—
1491C22×C4—471no—
1492C22×C4—471no—
1493C22×C4—471no—
1494C22×C4—471no—
1495C22×C4—942no—
1496C22×C4—942no—
1497C22×C4—942no—
1498C22×C4—942no—
1499C22×C4—941no—
1500C22×C4—941no—
1501C22×C4—941no—
1502C22×C4—941no—
1503C22×C4—941no—
1504C22×C4—941no—
1505C22×C4—941no—
1506C22×C4—941no—
1507C22×C4—941no—
1508C22×C4—941no—
1509C22×C4—941no—
1510C22×C4—941no—
1511C22×C4—941no—
1512C22×C4—941no—
1513C22×C4—941no—
1514C22×C4—941no—
1515C22×C4—941no—
1516C22×C4—941no—
1517C22×C4—941no—
1518C22×C4—3762no—
1519C22×C4—3762no—
1520C22×C4—1884no—
1521C22×C4—1884no—
1522C22×C4C23×D4711yescharacteristic
1523C22×C4C23×D4711yescharacteristic
1524Q16—41no—
1525Q16—942no—
1526Q16—942no—
1527Q16—1881no—
1528Q16—1881no—
1529Q16—1881no—
1530SD16—22no—
1531SD16—41no—
1532SD16—942no—
1533SD16—1881no—
1534SD16—1881no—
1535SD16—1881no—
1536M16—41no—
1537M16—942no—
1538M16—942no—
1539M16—942no—
1540M16—942no—
1541M16—1881no—
1542M16—1881no—
1543M16—1881no—
1544C2×C8—41no—
1545C2×C8—471no—
1546C2×C8—471no—
1547C2×C8—471no—
1548C2×C8—471no—
1549C2×C8—1881no—
1550C2×C8—1881no—
1551C2×C8—1881no—
1552C2×C8C23×D4711yescharacteristic
1553C2×C8C23×D4711yescharacteristic
1554C2×C8C23×D4711yescharacteristic
1555C2×C8C23×D4711yescharacteristic
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—21no—
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—471no—
1564C4⋊C4—471no—
1565C4⋊C4—471no—
1566C4⋊C4—471no—
1567C4⋊C4—471no—
1568C4⋊C4—471no—
1569C4⋊C4—471no—
1570C4⋊C4—941no—
1571C4⋊C4—941no—
1572C4⋊C4—941no—
1573C4⋊C4—941no—
1574C4⋊C4—941no—
1575C4⋊C4—941no—
1576C4⋊C4—941no—
1577C4⋊C4—941no—
1578C4⋊C4—941no—
1579C4⋊C4—941no—
1580C4⋊C4—941no—
1581C4⋊C4—941no—
1582C4⋊C4—941no—
1583C4⋊C4—941no—
1584C4⋊C4—941no—
1585C4⋊C4—941no—
1586C4⋊C4—941no—
1587C4⋊C4—941no—
1588C4⋊C4—941no—
1589C4⋊C4—941no—
1590C4⋊C4—941no—
1591C4⋊C4—941no—
1592C4⋊C4—941no—
1593C4⋊C4—941no—
1594C4⋊C4—941no—
1595C4⋊C4—941no—
1596C4⋊C4—941no—
1597C4⋊C4—941no—
1598C4⋊C4D4×D4711yescharacteristic
1599C4⋊C4C23×D4711yescharacteristic
1600C4⋊C4C23×D4711yescharacteristic
1601C4⋊C4C23×D4711yescharacteristic
1602C4⋊C4C23×D4711yescharacteristic
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—471no—
1611C22⋊C4—471no—
1612C22⋊C4—471no—
1613C22⋊C4—471no—
1614C22⋊C4—471no—
1615C22⋊C4—471no—
1616C22⋊C4—941no—
1617C22⋊C4—941no—
1618C22⋊C4—941no—
1619C22⋊C4—941no—
1620C22⋊C4—941no—
1621C22⋊C4—941no—
1622C22⋊C4—941no—
1623C22⋊C4—941no—
1624C22⋊C4—941no—
1625C22⋊C4—941no—
1626C22⋊C4—941no—
1627C22⋊C4—941no—
1628C22⋊C4—941no—
1629C22⋊C4—941no—
1630C22⋊C4—941no—
1631C22⋊C4—941no—
1632C22⋊C4D4×D4711yescharacteristic
1633C22⋊C4D4×D4711yescharacteristic
1634C42—21no—
1635C42—471no—
1636C42—471no—
1637C42—471no—
1638C42—941no—
1639C42—941no—
1640C42—941no—
1641C42—941no—
1642C42—941no—
1643C42—941no—
1644C42C23×D4711yescharacteristic
1645C23—21no—
1646C23—21no—
1647C23—42no—
1648C23—42no—
1649C23—81no—
1650C23—471no—
1651C23—471no—
1652C23—471no—
1653C23—942no—
1654C23—942no—
1655C23—942no—
1656C23—942no—
1657C23—941no—
1658C23—3761no—
1659C23—1881no—
1660C23—1881no—
1661C23—1882no—
1662C23—1882no—
1663C23C2×D4×D4711yescharacteristic
1664C23C2×D4×D4711yescharacteristic
1665Q8—21no—
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—81no—
1670Q8—472no—
1671Q8—941no—
1672Q8—941no—
1673Q8—941no—
1674Q8—941no—
1675Q8—941no—
1676Q8—3761no—
1677Q8—3761no—
1678Q8—3761no—
1679Q8—1882no—
1680Q8—1882no—
1681Q8—1882no—
1682D4—22no—
1683D4—21no—
1684D4—21no—
1685D4—21no—
1686D4—42no—
1687D4—42no—
1688D4—81no—
1689D4—474no—
1690D4—942no—
1691D4—942no—
1692D4—944no—
1693D4—941no—
1694D4—941no—
1695D4—3761no—
1696D4—3761no—
1697D4—1882no—
1698D4—1882no—
1699D4—1882no—
1700D4—1882no—
1701D4—1882no—
1702D4—1882no—
1703D4—1882no—
1704D4—1882no—
1705D4—1882no—
1706D4#41×D4712yes—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—42no—
1718C2×C4—81no—
1719C2×C4—81no—
1720C2×C4—81no—
1721C2×C4—471no—
1722C2×C4—471no—
1723C2×C4—472no—
1724C2×C4—472no—
1725C2×C4—471no—
1726C2×C4—471no—
1727C2×C4—471no—
1728C2×C4—942no—
1729C2×C4—942no—
1730C2×C4—942no—
1731C2×C4—942no—
1732C2×C4—942no—
1733C2×C4—942no—
1734C2×C4—942no—
1735C2×C4—944no—
1736C2×C4—941no—
1737C2×C4—941no—
1738C2×C4—941no—
1739C2×C4—941no—
1740C2×C4—941no—
1741C2×C4—941no—
1742C2×C4—941no—
1743C2×C4—941no—
1744C2×C4—941no—
1745C2×C4—941no—
1746C2×C4—941no—
1747C2×C4—3761no—
1748C2×C4—3761no—
1749C2×C4—3761no—
1750C2×C4—3761no—
1751C2×C4—3761no—
1752C2×C4—3761no—
1753C2×C4—1881no—
1754C2×C4—1882no—
1755C2×C4—1882no—
1756C2×C4—1882no—
1757C2×C4—1882no—
1758C2×C4—1882no—
1759C2×C4—1882no—
1760C2×C4—1882no—
1761C2×C4—1882no—
1762C2×C4—1882no—
1763C2×C4—1882no—
1764C2×C4—1882no—
1765C2×C4—1882no—
1766C2×C4C2×D4×D4711yescharacteristic
1767C2×C4C2×D4×D4711yescharacteristic
1768C2×C4C2×D4×D4711yescharacteristic
1769C2×C4C2×D4×D4711yescharacteristic
1770C2×C4C24×D4711yescharacteristic
1771C8—21no—
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—941no—
1776C8—941no—
1777C8—941no—
1778C8—941no—
1779C22—21no—
1780C22—21no—
1781C22—21no—
1782C22—22no—
1783C22—21no—
1784C22—21no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—84no—
1791C22—472no—
1792C22—472no—
1793C22—941no—
1794C22—941no—
1795C22—941no—
1796C22—941no—
1797C22—941no—
1798C22—941no—
1799C22—941no—
1800C22—3764no—
1801C22—1884no—
1802C22—1884no—
1803C22—1881no—
1804C22—1881no—
1805C22—1881no—
1806C22#137×D4712yes—
1807C22C22×D4×D4711yescharacteristic
1808C4—21no—
1809C4—21no—
1810C4—21no—
1811C4—21no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—472no—
1819C4—472no—
1820C4—941no—
1821C4—941no—
1822C4—942no—
1823C4—941no—
1824C4—1881no—
1825C4—1881no—
1826C4—1881no—
1827C4—1881no—
1828C4—1881no—
1829C4—1881no—
1830C4C2×#41×D4711yescharacteristic
1831C4H(5,𝔽2)×D4711yescharacteristic
1832C2—22no—
1833C2—41no—
1834C2—42no—
1835C2—81no—
1836C2—942no—
1837C2—942no—
1838C2—3761no—
1839C2—1881no—
1840C2#546×D4711yescharacteristic
1841C2C2×#137×D4711yescharacteristic
1842C2#2025816311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3314C2
socleC22×C47C23×D4
prime radical#20256872C2
hypercenter#3314D47
hypocenterC47#61162
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #554×D47C2semidirect
3. #20255724C2semidirect
4. #20255721C2semidirect
5. #20255700C2semidirect
6. #20255697C2semidirect
7. #20255506C2semidirect
8. #20255501C2semidirect
9. #20255498C2semidirect
10. #20255493C2semidirect
11. #20255474C2semidirect
12. #20255469C2semidirect
13. #20255466C2semidirect
14. #20255262C2semidirect
15. #20255259C2semidirect
16. #20255208C2semidirect
17. #20255205C2semidirect
18. #20253780C2semidirect
19. #20253315C2semidirect
20. #20253307C2semidirect
21. #20253196C2semidirect
22. #20253015C2semidirect
23. #20253013C2semidirect
24. #20252858C2semidirect
25. #20252645C2semidirect
26. #20252643C2semidirect
27. #20252210C2semidirect
28. #20252121C2semidirect
29. C2×#15689121C2semidirect
30. #417×D47C2semidirect
31. C47×#3314C2semidirect
34. C2×#13094056C22semidirect
36. C2×#13094053C22semidirect
37. C22×#10625324C22semidirect
38. C2×M16×D47C22semidirect
39. #15689834C22semidirect
40. #15689833C22semidirect
43. #15689831C22semidirect
44. #15689830C22semidirect
47. #15689828C22semidirect
63. C4⋊Q8×D47C22semidirect
71. C22⋊Q8×D47C22semidirect
72. C22⋊Q8×D47C22semidirect
74. C4×Q8×D47C22semidirect
78. C2×C4⋊C4×D47C22semidirect
79. C2×C4⋊C4×D47C22semidirect
80. #15689485C22semidirect
81. #15689483C22semidirect
82. #15689482C22semidirect
83. #15689472C22semidirect
84. #15689472C22semidirect
85. #15689468C22semidirect
86. #15689468C22semidirect
87. #15689460C22semidirect
88. #15689460C22semidirect
89. #15689456C22semidirect
90. #15689454C22semidirect
91. #15689453C22semidirect
92. #15689452C22semidirect
93. #15689452C22semidirect
94. #15689442C22semidirect
95. #15689441C22semidirect
96. #15689440C22semidirect
97. #15689440C22semidirect
98. #15689438C22semidirect
99. #15689438C22semidirect
100. #15689434C22semidirect
101. #15689417C22semidirect
102. #15689417C22semidirect
103. #15689411C22semidirect
104. #15689411C22semidirect
105. #15689409C22semidirect
106. #15689405C22semidirect
107. #15689403C22semidirect
108. #15689381C22semidirect
109. #15689380C22semidirect
110. #15689379C22semidirect
111. #15689378C22semidirect
112. #15689372C22semidirect
113. #15689370C22semidirect
114. #15689367C22semidirect
115. #15689365C22semidirect
116. #15689363C22semidirect
117. #15689362C22semidirect
118. #15689354C22semidirect
119. #15689352C22semidirect
120. #15689351C22semidirect
121. #15689349C22semidirect
122. #15689346C22semidirect
123. #15689345C22semidirect
124. #15689342C22semidirect
125. #15689332C22semidirect
126. #15689331C22semidirect
127. #15689322C22semidirect
128. #15689321C22semidirect
129. #15689287C22semidirect
130. #15689286C22semidirect
131. #15689286C22semidirect
132. #15689285C22semidirect
133. #15689283C22semidirect
134. #15689282C22semidirect
135. #15689282C22semidirect
136. #15689281C22semidirect
137. #15689280C22semidirect
138. #15689278C22semidirect
139. #15689277C22semidirect
140. #15689275C22semidirect
141. #15689274C22semidirect
142. #15689272C22semidirect
143. #15689231C22semidirect
144. #15689228C22semidirect
145. #15689223C22semidirect
146. #15689217C22semidirect
147. #15689215C22semidirect
148. #15689214C22semidirect
149. SD16×Dic47C22semidirect
150. #15689199C22semidirect
151. #15689198C22semidirect
152. #15689196C22semidirect
153. #15689195C22semidirect
154. #15689193C22semidirect
157. #15689164C22semidirect
158. #15689164C22semidirect
159. #15689164C22semidirect
160. #15689145C22semidirect
161. #15689130C22semidirect
162. #15689125C22semidirect
163. #15689124C22semidirect
164. #15689123C22semidirect
165. #15689123C22semidirect
166. #15689123C22semidirect
167. #15689122C22semidirect
171. #15689121C22semidirect
172. #15689121C22semidirect
173. #15689121C22semidirect
174. #15689121C22semidirect
175. #15689121C22semidirect
176. #15689121C22semidirect
177. #15689121C22semidirect
178. C2×#13093949C22semidirect
179. C2×#13093947C22semidirect
180. #103×D47C22semidirect
181. #103×D47C22semidirect
182. C2×#13093945C22semidirect
183. #102×D47C22semidirect
184. #102×D47C22semidirect
185. #15689085C22semidirect
186. #15689085C22semidirect
187. #15689075C22semidirect
188. C47×#554C22semidirect
190. C47×#489C22semidirect
191. C47×#484C22semidirect
192. C47×#480C22semidirect
193. C47×#474C22semidirect
194. C47×#468C22semidirect
195. C47×#467C22semidirect
196. C47×#464C22semidirect
197. C47×#452C22semidirect
198. C47×#450C22semidirect
199. C47×#440C22semidirect
200. C47×#435C22semidirect
201. C47×#417C22semidirect
202. C2×#102×C47C22semidirect
786. C22⋊D47#137semidirect
924. #3314D47semidirect
971. #554C2×D47semidirect
1006. #489C2×D47semidirect
1014. #484C2×D47semidirect
1026. #480C2×D47semidirect
1034. #474C2×D47semidirect
1042. #468C2×D47semidirect
1046. #467C2×D47semidirect
1054. #464C2×D47semidirect
1066. #452C2×D47semidirect
1074. #450C2×D47semidirect
1078. #440C2×D47semidirect
1088. #435C2×D47semidirect
1112. #417C2×D47semidirect
1120. C2×#102C2×D47semidirect
1124. C47#61162semidirect

Maximal subgroups

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

subgroupindex
#554×D472
#202568722
#202557242
#202557212
#202557002
#202556972
#202555062
#202555012
#202554982
#202554932
#202554742
#202554692
#202554662
#202552622
#202552592
#202552082
#202552052
#202537802
#202533152
#202533072
#202531962
#202530152
#202530132
#202528582
#202526452
#202526432
#202522102
#202521212
C2×#156891212
#417×D472
C47×#33142
#6116247