Finite Group Databasebeta

← #27110080

Subgroups — #27110080

Order 12032.

1860 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257979C211yesmaximal, characteristic, complemented
2#20257335C211yesmaximal, characteristic, complemented
3#20256450C211yesmaximal, characteristic, complemented
4#20256395C211yesmaximal, characteristic, complemented
5#20256147C211yesmaximal, characteristic, complemented
6#20256040C211yesmaximal, characteristic, complemented
7#20255689C211yesmaximal, characteristic, complemented
8#20255652C211yesmaximal, characteristic, complemented
9#20255512C211yesmaximal, characteristic, complemented
10#20255347C211yesmaximal, characteristic, complemented
11#20255232C211yesmaximal, characteristic, complemented
12#20255096C211yesmaximal, characteristic, complemented
13#20255005C211yesmaximal, characteristic, complemented
14#20255000C211yesmaximal, characteristic, complemented
15#20254996C211yesmaximal, characteristic, complemented
16#20254906C211yesmaximal, characteristic, complemented
17#20254876C211yesmaximal, characteristic, complemented
18#20254830C211yesmaximal, characteristic, complemented
19#20254800C211yesmaximal, characteristic, complemented
20#20254791C211yesmaximal, characteristic, complemented
21#20254495C211yesmaximal, characteristic, complemented
22#20254436C211yesmaximal, characteristic, complemented
23#20254365C211yesmaximal, characteristic, complemented
24#20253627C211yesmaximal, characteristic, complemented
25#20253605C211yesmaximal, characteristic, complemented
26#20253439C211yesmaximal, characteristic, complemented
27#20252926C211yesmaximal, characteristic, complemented
28#20252899C211yesmaximal, characteristic, complemented
29#20252850C211yesmaximal, characteristic, complemented
30#20252532C211yesmaximal, characteristic, complemented
31C47×#3326C211yesmaximal, characteristic, complemented
32C2×#13094052C2211yescharacteristic
33C2×#13094052C2211yescharacteristic
34C2×#13094051C2211yescharacteristic
35C2×#13094048C2211yescharacteristic, complemented
36C2×#13094044C2211yescharacteristic
37C22×#10625336C2211yescharacteristic, complemented
38#15689869—21no—
39#15689861—21no—
40#15689856C2211yescharacteristic, complemented
41#15689855C2211yescharacteristic, complemented
42#15689845C2211yescharacteristic, complemented
43#15689829C2211yescharacteristic, complemented
44#15689823—21no—
45#15689822—21no—
46#15689812C2211yescharacteristic, complemented
47#15689803—21no—
48#15689801—21no—
49#15689798—21no—
50#15689791C2211yescharacteristic
51#15689784C2211yescharacteristic
52#15689774C2211yescharacteristic
53#15689772C2211yescharacteristic, complemented
54#15689770—21no—
55#15689770C2211yescharacteristic
56#15689769C2211yescharacteristic
57#15689769C2211yescharacteristic, complemented
58#15689764C2211yescharacteristic, complemented
59#15689757C2211yescharacteristic, complemented
60#15689740C2211yescharacteristic, complemented
61#15689733C2211yescharacteristic, complemented
62#15689726C2211yescharacteristic
63#15689726C2211yescharacteristic, complemented
64#15689724—21no—
65#15689722—21no—
66#15689714—21no—
67#15689707—21no—
68#15689705—21no—
69#15689705—21no—
70#15689697C2211yescharacteristic, complemented
71#15689687C2211yescharacteristic, complemented
72#15689672C2211yescharacteristic, complemented
73#15689660C2211yescharacteristic, complemented
74#15689658C2211yescharacteristic, complemented
75#15689655C2211yescharacteristic
76#15689632—21no—
77#123×D47—21no—
78#15689604C2211yescharacteristic
79#15689597C2211yescharacteristic, complemented
80C4×D4×D47C2211yescharacteristic, complemented
81#15689514C2211yescharacteristic, complemented
82#15689509C2211yescharacteristic
83#15689507C2211yescharacteristic, complemented
84#15689505C2211yescharacteristic, complemented
85#15689504C2211yescharacteristic, complemented
86#15689498C2211yescharacteristic
87#15689486C2211yescharacteristic, complemented
88#15689484C2211yescharacteristic, complemented
89#15689480C2211yescharacteristic, complemented
90#15689479C2211yescharacteristic, complemented
91#15689472C2211yescharacteristic, complemented
92#15689458C2211yescharacteristic, complemented
93#15689457C2211yescharacteristic, complemented
94#15689447C2211yescharacteristic, complemented
95#15689443C2211yescharacteristic, complemented
96#15689433C2211yescharacteristic, complemented
97#15689432C2211yescharacteristic, complemented
98#15689429C2211yescharacteristic, complemented
99#15689426C2211yescharacteristic, complemented
100#15689422C2211yescharacteristic, complemented
101#15689421C2211yescharacteristic, complemented
102#15689420C2211yescharacteristic, complemented
103#15689412C2211yescharacteristic, complemented
104#15689401C2211yescharacteristic, complemented
105#15689380C2211yescharacteristic, complemented
106#15689377C2211yescharacteristic
107#15689372C2211yescharacteristic, complemented
108#15689370C2211yescharacteristic, complemented
109#15689369C2211yescharacteristic, complemented
110#15689369C2211yescharacteristic, complemented
111#15689357C2211yescharacteristic
112#15689354C2211yescharacteristic, complemented
113#15689350C2211yescharacteristic, complemented
114#15689350C2211yescharacteristic, complemented
115#15689348C2211yescharacteristic, complemented
116#15689348C2211yescharacteristic, complemented
117#15689345C2211yescharacteristic, complemented
118#15689341C2211yescharacteristic
119#15689341C2211yescharacteristic
120#15689341C2211yescharacteristic
121#15689341C2211yescharacteristic, complemented
122#15689341C2211yescharacteristic, complemented
123#15689340C2211yescharacteristic, complemented
124#15689339C2211yescharacteristic
125#15689339C2211yescharacteristic, complemented
126#15689338C2211yescharacteristic, complemented
127#15689337C2211yescharacteristic, complemented
128#15689336C2211yescharacteristic, complemented
129#15689335C2211yescharacteristic, complemented
130#15689332C2211yescharacteristic, complemented
131#15689327C2211yescharacteristic, complemented
132#15689327C2211yescharacteristic, complemented
133#15689327C2211yescharacteristic, complemented
134#15689327C2211yescharacteristic, complemented
135#15689326C2211yescharacteristic, complemented
136#15689322C2211yescharacteristic, complemented
137#15689322C2211yescharacteristic, complemented
138#15689322C2211yescharacteristic, complemented
139#15689321C2211yescharacteristic, complemented
140#15689317C2211yescharacteristic
141#15689317C2211yescharacteristic
142#15689317C2211yescharacteristic, complemented
143#15689316C2211yescharacteristic, complemented
144#15689288C2211yescharacteristic, complemented
145#15689287C2211yescharacteristic
146#15689287C2211yescharacteristic, complemented
147#15689286C2211yescharacteristic, complemented
148#15689283C2211yescharacteristic
149#15689279C2211yescharacteristic, complemented
150#15689272C2211yescharacteristic, complemented
151#15689271C2211yescharacteristic
152#15689269C2211yescharacteristic, complemented
153#15689268C2211yescharacteristic, complemented
154#15689266C2211yescharacteristic
155#15689259C2211yescharacteristic
156#15689259C2211yescharacteristic, complemented
157#15689258C2211yescharacteristic
158#15689256C2211yescharacteristic, complemented
159#15689256C2211yescharacteristic, complemented
160#15689253C2211yescharacteristic, complemented
161#15689247C2211yescharacteristic, complemented
162#15689234C2211yescharacteristic, complemented
163#15689232C2211yescharacteristic, complemented
164#15689229C2211yescharacteristic, complemented
165#15689226C2211yescharacteristic, complemented
166#15689215C2211yescharacteristic, complemented
167C4×#10625336C2211yescharacteristic, complemented
168#15689210C2211yescharacteristic, complemented
169C4×D376C2211yescharacteristic
170#15689205C2211yescharacteristic
171C4×#10625334C2211yescharacteristic, complemented
172#15689203C2211yescharacteristic, complemented
173#15689199C2211yescharacteristic, complemented
174#15689199C2211yescharacteristic, complemented
175#15689191C2211yescharacteristic, complemented
176#15689191C2211yescharacteristic, complemented
177D4×C47⋊C8C2211yescharacteristic, complemented
178#15689181C2211yescharacteristic, complemented
179#15689181C2211yescharacteristic, complemented
180#15689174C2211yescharacteristic, complemented
181#15689151C2211yescharacteristic, complemented
182#15689151C2211yescharacteristic, complemented
183#15689145C2211yescharacteristic, complemented
184#15689123C2211yescharacteristic, complemented
185#15689121C2211yescharacteristic, complemented
186#15689117C2211yescharacteristic, complemented
187C2×#13093944C2211yescharacteristic, complemented
188C47×#553C2211yescharacteristic
189C47×#548C2211yescharacteristic, complemented
190C47×#488C2211yescharacteristic, complemented
191C47×#483C2211yescharacteristic, complemented
192C47×#482C2211yescharacteristic, complemented
193C47×#479C2211yescharacteristic, complemented
194C47×#469C2211yescharacteristic, complemented
195C47×#468C2211yescharacteristic, complemented
196C47×#463C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic, complemented
198C47×#448C2211yescharacteristic, complemented
199C4×SD16×C47C2211yescharacteristic, complemented
200C47×#436C2211yescharacteristic, complemented
201C47×#419C2211yescharacteristic, complemented
202C47×#417C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625350—21no—
205C2×#10625350C2311yescharacteristic
206C2×#10625350C2311yescharacteristic
207C2×#10625352C2311yescharacteristic
208C22×D188C2311yescharacteristic
209C22×D188C2311yescharacteristic
210C2×D4×D47—21no—
211C2×D4×D47C2311yescharacteristic
212C22×C4×D47—21no—
213#13094052—42no—
214#13094052—42no—
215#13094051—42no—
216#13094048—42no—
217#13094044—42no—
218C2×Dic188C2311yescharacteristic
219C2×#10625337C2311yescharacteristic
220C2×#10625337C2311yescharacteristic
221C2×#10625325C2311yescharacteristic
222C2×#10625325C2311yescharacteristic
223C2×#10625325C2311yescharacteristic
224C2×#10625325C2311yescharacteristic
225C2×#10625335C2311yescharacteristic
226C2×#10625335C2311yescharacteristic
227C2×#10625336—42no—
228C2×#10625336C2311yescharacteristic
229C2×#10625336C2311yescharacteristic
230C2×#10625336C2311yescharacteristic
231C2×#10625336C2311yescharacteristic
232C2×D376C2311yescharacteristic
233C2×D376C2311yescharacteristic
234C2×D376C2311yescharacteristic
235C2×D376C2311yescharacteristic
236C2×#10625334C2311yescharacteristic
237C2×#10625334C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239C2×#10625334C2311yescharacteristic
240C2×#10625324C2311yescharacteristic
241C2×#10625324C2311yescharacteristic
242C22×C47⋊C8C2311yescharacteristic
243C22×C47⋊C8C2311yescharacteristic
244#13094023C2311yescharacteristic
245#13094022C2311yescharacteristic
246#13094022C2311yescharacteristic
247#13094020—21no—
248#13094020C2311yescharacteristic
249#13094020C2311yescharacteristic
250#13094020C2311yescharacteristic
251#13094019—21no—
252#13094019—21no—
253#13094019—21no—
254#13094018—21no—
255#13094017—21no—
256#13094017—21no—
257#13094017—21no—
258#13094017—21no—
259#13094017D411yescharacteristic
260#13094017D411yescharacteristic
261#13094016—21no—
262#13094015—21no—
263#13094015D411yescharacteristic
264#13094015C2311yescharacteristic
265#13094015C2311yescharacteristic
266#13094014—21no—
267#13094013—21no—
268#13094013C2311yescharacteristic
269#13094013C2311yescharacteristic
270#13094013C2311yescharacteristic
271#13094012C2311yescharacteristic
272#13094012C2311yescharacteristic
273#13094011—21no—
274#13094011D411yescharacteristic
275#13094011C2311yescharacteristic
276#13094010—21no—
277#13094010—21no—
278#13094009—21no—
279#13094009—21no—
280#13094009—21no—
281#13094009—21no—
282#13094009—21no—
283#13094009—21no—
284#13094008—21no—
285#13094008—21no—
286#13094008—21no—
287#13094007—21no—
288#13094007—21no—
289#13094007—21no—
290#13094007—21no—
291#13094007—21no—
292#13094006—21no—
293#13094006—21no—
294#13094006—21no—
295#13094006—21no—
296#13094006—21no—
297#13094006—21no—
298#13094006D411yescharacteristic
299#13094006D411yescharacteristic
300#13094005—21no—
301#13094005—21no—
302#13094004—21no—
303#13094004D411yescharacteristic
304#13094004C2311yescharacteristic
305#13094003C2311yescharacteristic
306#13094003C2311yescharacteristic
307#13094002—21no—
308#13094002—21no—
309#13094002—21no—
310#13094002—21no—
311#13094001—21no—
312#13094000—21no—
313#13094000—21no—
314#13094000—21no—
315#13094000C2311yescharacteristic
316#13093999—21no—
317#13093999C2311yescharacteristic
318#13093999C2311yescharacteristic
319#13093998—21no—
320#13093998—21no—
321#13093998—21no—
322#13093998C2311yescharacteristic
323#13093998C2311yescharacteristic
324#13093997—21no—
325#13093997—21no—
326#13093997—21no—
327#13093997—21no—
328#13093997—21no—
329#13093997—21no—
330#13093996—21no—
331#13093996—21no—
332#13093996—21no—
333#13093996—21no—
334#13093995—21no—
335#13093995—21no—
336#13093995—21no—
337#13093995D411yescharacteristic
338#13093994—21no—
339#13093994—21no—
340#13093992—21no—
341#13093992—21no—
342#13093992—21no—
343#13093992—21no—
344#13093992—21no—
345#13093992—21no—
346Q8×Dic47C2311yescharacteristic
347C4×Dic94C2311yescharacteristic
348#13093989C2311yescharacteristic
349#13093989C2311yescharacteristic
350#13093989C2311yescharacteristic
351C4×D188—21no—
352C4×D188—21no—
353C4×D188—21no—
354C4×D188C2311yescharacteristic
355C4×D188C2311yescharacteristic
356D4×Dic47C2311yescharacteristic
357D4×Dic47C2311yescharacteristic
358#13093986—21no—
359#13093986C2311yescharacteristic
360#13093986C2311yescharacteristic
361#13093986C2311yescharacteristic
362#13093986C2311yescharacteristic
363#13093986C2311yescharacteristic
364#13093986C2311yescharacteristic
365C4×C22⋊D47—21no—
366C4×C22⋊D47—21no—
367C4×C22⋊D47—21no—
368C4×C22⋊D47—21no—
369C4×C22⋊D47—21no—
370C4×C22⋊D47C2311yescharacteristic
371C4×C22⋊D47C2311yescharacteristic
372(C22⋊D47)⋊C4—21no—
373(C22⋊D47)⋊C4—21no—
374(C22⋊D47)⋊C4—21no—
375(C22⋊D47)⋊C4—21no—
376(C22⋊D47)⋊C4—21no—
377#13093983C2311yescharacteristic
378#13093983C2311yescharacteristic
379#13093982—21no—
380#13093982—21no—
381#13093981—21no—
382#13093981—21no—
383#13093981—21no—
384C2×Dic47⋊C4—21no—
385C4⋊C4×D47—21no—
386C4⋊C4×D47—21no—
387C4⋊C4×D47C2311yescharacteristic
388C22⋊C4×D47—21no—
389C22⋊C4×D47—21no—
390C22⋊C4×D47—21no—
391C22⋊C4×D47—21no—
392C22⋊C4×D47—21no—
393C22⋊C4×D47—21no—
394C22⋊C4×D47—21no—
395C42×D47C2311yescharacteristic
396#13093958C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093955C2311yescharacteristic
400#13093955C2311yescharacteristic
401C4⋊(C47⋊C8)C2311yescharacteristic
402Dic47⋊C8C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407Dic47⋊C8C2311yescharacteristic
408Dic47⋊C8C2311yescharacteristic
409Dic47⋊C8C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093947C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093944C2311yescharacteristic
425#13093944C2311yescharacteristic
426#13093944C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432C22⋊(C47⋊C8)C2311yescharacteristic
433C22⋊(C47⋊C8)C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436#13093934C2311yescharacteristic
437#13093934C2311yescharacteristic
438C4×C47⋊C8C2311yescharacteristic
439C8×Dic47C2311yescharacteristic
440C8×Dic47C2311yescharacteristic
441C2×#41×C47C2311yescharacteristic
442C22×Q8×C47C2311yescharacteristic
443C2×SD16×C47C2311yescharacteristic
444C2×SD16×C47C2311yescharacteristic
445C2×D8×C47C2311yescharacteristic
446C2×M16×C47C2311yescharacteristic
447C2×M16×C47C2311yescharacteristic
448#126×C47—21no—
449#125×C47C2311yescharacteristic
450#124×C47—21no—
451#124×C47C2311yescharacteristic
452#123×C47—21no—
453C22⋊Q8×C47—21no—
454C22⋊Q8×C47C2311yescharacteristic
455#121×C47—21no—
456#121×C47—21no—
457#121×C47C2311yescharacteristic
458#121×C47C2311yescharacteristic
459#121×C47C2311yescharacteristic
460C4×Q8×C47C2311yescharacteristic
461C4×D4×C47—21no—
462C4×D4×C47—21no—
463C4×D4×C47C2311yescharacteristic
464C4×D4×C47C2311yescharacteristic
465#117×C47C2311yescharacteristic
466C2×C4⋊C4×C47C2311yescharacteristic
467#107×C47C2311yescharacteristic
468#106×C47C2311yescharacteristic
469#106×C47C2311yescharacteristic
470C4⋊C8×C47C2311yescharacteristic
471#103×C47C2311yescharacteristic
472#103×C47C2311yescharacteristic
473#103×C47C2311yescharacteristic
474#103×C47C2311yescharacteristic
475#103×C47C2311yescharacteristic
476#103×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481C22⋊C8×C47C2311yescharacteristic
482C22⋊C8×C47C2311yescharacteristic
483C4×C8×C47C2311yescharacteristic
484C23×D47—21no—
485C23×D47—21no—
486C23×D47—21no—
487#41×C47—41no—
488#41×C47—41no—
489C2×Q8×C47—21no—
490C2×Q8×C47—41no—
491C2×Q8×C47—41no—
492C2×Q8×C47C2411yescharacteristic
493C2×Q8×C47C2411yescharacteristic
494C2×D4×C47—21no—
495C2×D4×C47—21no—
496C2×D4×C47—21no—
497C2×D4×C47—21no—
498C2×D4×C47C2×D411yescharacteristic
499C2×D4×C47C2411yescharacteristic
500C2×D4×C47C2411yescharacteristic
501C22×C4×C47—21no—
502C22×C4×C47—21no—
503C22×C4×C47—21no—
504C22×C4×C47—21no—
505C22×C4×C47C2411yescharacteristic
506C22×C4×C47C2411yescharacteristic
507C2×C22⋊D47—21no—
508C2×C22⋊D47—21no—
509C2×C22⋊D47—21no—
510C2×C22⋊D47—21no—
511C2×C22⋊D47—21no—
512C2×C22⋊D47—21no—
513C2×C22⋊D47—21no—
514C2×C22⋊D47—21no—
515C2×C22⋊D47—21no—
516C2×C22⋊D47—21no—
517C2×C22⋊D47—21no—
518C2×C22⋊D47—21no—
519C2×C22⋊D47C2×D411yescharacteristic
520C2×C22⋊D47C2×D411yescharacteristic
521C22×Dic47—21no—
522C22×Dic47—21no—
523C22×Dic47—21no—
524#10625354—41no—
525#10625354—41no—
526#10625352—41no—
527#10625352—41no—
528D4×D47—22no—
529D4×D47—41no—
530D4×D47—82no—
531#10625350—22no—
532#10625350—41no—
533#10625350—41no—
534#10625350—41no—
535#10625350—82no—
536C2×D188—22no—
537C2×D188—21no—
538C2×D188—21no—
539C2×D188—21no—
540C2×D188—21no—
541C2×D188—21no—
542C2×D188—41no—
543C2×D188—41no—
544C2×D188—41no—
545C2×D188C2411yescharacteristic
546C2×D188C2411yescharacteristic
547C2×D188C2411yescharacteristic
548C2×D188C2411yescharacteristic
549C2×C4×D47—21no—
550C2×C4×D47—21no—
551C2×C4×D47—21no—
552C2×C4×D47—21no—
553C2×C4×D47—21no—
554C2×C4×D47—21no—
555C2×C4×D47—21no—
556C2×C4×D47—21no—
557C2×C4×D47—21no—
558C2×C4×D47—21no—
559C2×C4×D47—21no—
560C2×C4×D47—21no—
561C2×C4×D47—82no—
562C2×C4×D47C2×D411yescharacteristic
563C2×C4×D47C2×D411yescharacteristic
564C2×C4×D47C2411yescharacteristic
565C2×Dic94—21no—
566C2×Dic94C2×D411yescharacteristic
567C2×Dic94C2411yescharacteristic
568C2×Dic94C2411yescharacteristic
569SD16×C47—41no—
570SD16×C47—41no—
571D8×C47—41no—
572M16×C47—41no—
573M16×C47—41no—
574C2×C8×C47C2411yescharacteristic
575C2×C8×C47C2411yescharacteristic
576C2×C8×C47C2411yescharacteristic
577C2×C8×C47C2411yescharacteristic
578C4⋊C4×C47—21no—
579C4⋊C4×C47—21no—
580C4⋊C4×C47—21no—
581C4⋊C4×C47—21no—
582C4⋊C4×C47—21no—
583C4⋊C4×C47C2×D411yescharacteristic
584C4⋊C4×C47C2411yescharacteristic
585C4⋊C4×C47C2411yescharacteristic
586C4⋊C4×C47C2411yescharacteristic
587C4⋊C4×C47C2411yescharacteristic
588C22⋊C4×C47—21no—
589C22⋊C4×C47—21no—
590C22⋊C4×C47—21no—
591C22⋊C4×C47—21no—
592C22⋊C4×C47—21no—
593C22⋊C4×C47—21no—
594C22⋊C4×C47—21no—
595C22⋊C4×C47—21no—
596C22⋊C4×C47C2×D411yescharacteristic
597C22⋊C4×C47C2×D411yescharacteristic
598C42×C47—21no—
599C42×C47—21no—
600C42×C47C2411yescharacteristic
601C22⋊Dic47—21no—
602C22⋊Dic47—21no—
603C22⋊Dic47—21no—
604C22⋊Dic47—21no—
605C22⋊Dic47—21no—
606C22⋊Dic47—21no—
607C22⋊Dic47C2×D411yescharacteristic
608C22⋊Dic47C2×D411yescharacteristic
609C22⋊Dic47C2×D411yescharacteristic
610C22⋊Dic47C2×D411yescharacteristic
611C22⋊Dic47C2×D411yescharacteristic
612C22⋊Dic47C2×D411yescharacteristic
613#10625337—41no—
614#10625337—41no—
615#10625336—22no—
616#10625336—22no—
617#10625336—41no—
618#10625336—41no—
619#10625335—41no—
620#10625335—41no—
621#10625334—22no—
622#10625334—41no—
623#10625334—41no—
624#10625334—41no—
625(C2×D47)⋊C4—21no—
626(C2×D47)⋊C4—21no—
627(C2×D47)⋊C4—21no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4—21no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4—21no—
638(C2×D47)⋊C4—21no—
639(C2×D47)⋊C4—21no—
640(C2×D47)⋊C4—21no—
641(C2×D47)⋊C4—21no—
642(C2×D47)⋊C4—21no—
643(C2×D47)⋊C4—21no—
644(C2×D47)⋊C4—21no—
645(C2×D47)⋊C4—21no—
646(C2×D47)⋊C4—21no—
647(C2×D47)⋊C4—21no—
648(C2×D47)⋊C4—21no—
649(C2×D47)⋊C4C2×D411yescharacteristic
650(C2×D47)⋊C4C2×D411yescharacteristic
651C4⋊Dic47—21no—
652C4⋊Dic47—21no—
653C4⋊Dic47—21no—
654C4⋊Dic47—21no—
655C4⋊Dic47C2×D411yescharacteristic
656C4⋊Dic47C2×D411yescharacteristic
657C4⋊Dic47C2×D411yescharacteristic
658C4⋊Dic47C2×D411yescharacteristic
659C4⋊Dic47C2×D411yescharacteristic
660C4⋊Dic47C2411yescharacteristic
661C4⋊Dic47C2411yescharacteristic
662Dic47⋊C4—21no—
663Dic47⋊C4—21no—
664Dic47⋊C4—21no—
665Dic47⋊C4—21no—
666Dic47⋊C4—21no—
667Dic47⋊C4—21no—
668Dic47⋊C4—21no—
669Dic47⋊C4—21no—
670Dic47⋊C4—21no—
671Dic47⋊C4—21no—
672Dic47⋊C4—21no—
673Dic47⋊C4—21no—
674Dic47⋊C4—21no—
675Dic47⋊C4—21no—
676Dic47⋊C4C2×D411yescharacteristic
677Dic47⋊C4C2×D411yescharacteristic
678Dic47⋊C4C2×D411yescharacteristic
679Dic47⋊C4C2×D411yescharacteristic
680C4×Dic47—21no—
681C4×Dic47—21no—
682C4×Dic47—21no—
683C4×Dic47—21no—
684C4×Dic47C2×D411yescharacteristic
685C4×Dic47C2×D411yescharacteristic
686C4×Dic47C2411yescharacteristic
687C4×Dic47C2411yescharacteristic
688C4×Dic47C2411yescharacteristic
689C2×C47⋊C8—41no—
690C2×C47⋊C8—41no—
691C2×C47⋊C8C2411yescharacteristic
692C2×C47⋊C8C2411yescharacteristic
693C2×C47⋊C8C2411yescharacteristic
694C2×C47⋊C8C2411yescharacteristic
695Dic188—41no—
696D376—22no—
697D376—22no—
698D376—41no—
699D376—41no—
700#10625325—22no—
701#10625325—41no—
702#10625325—41no—
703#10625325—41no—
704#10625324—41no—
705#10625324—41no—
706C23×C47—21no—
707C23×C47—21no—
708C23×C47C22×D411yescharacteristic
709C23×C47C22×D411yescharacteristic
710C22×D47—21no—
711C22×D47—21no—
712C22×D47—21no—
713C22×D47—21no—
714C22×D47—42no—
715C22×D47—42no—
716C22×D47—42no—
717C22×D47—81no—
718C22×D47—81no—
719C22×D47—81no—
720C22×D47—81no—
721C22×D47—81no—
722C22×D47—81no—
723C22×D47C22×D411yescharacteristic
724Q8×C47—21no—
725Q8×C47—21no—
726Q8×C47—21no—
727Q8×C47—21no—
728Q8×C47—81no—
729D4×C47—21no—
730D4×C47—21no—
731D4×C47—21no—
732D4×C47—21no—
733D4×C47—41no—
734D4×C47—81no—
735D4×C47—81no—
736D4×C47—81no—
737D4×C47—81no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—21no—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—81no—
749C2×C4×C47—81no—
750C2×C4×C47—81no—
751C2×C4×C47—81no—
752C2×C4×C47C22×D411yescharacteristic
753C2×C4×C47C22×D411yescharacteristic
754C2×C4×C47C22×D411yescharacteristic
755C2×C4×C47C22×D411yescharacteristic
756C2×C4×C47C2511yescharacteristic
757C22⋊D47—41no—
758C22⋊D47—41no—
759C22⋊D47—42no—
760C22⋊D47—42no—
761C22⋊D47—81no—
762C22⋊D47—81no—
763C22⋊D47—81no—
764C22⋊D47—81no—
765C22⋊D47—81no—
766C22⋊D47—81no—
767C22⋊D47—81no—
768C22⋊D47—81no—
769C22⋊D47—81no—
770C22⋊D47—81no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—81no—
776C2×Dic47—81no—
777C2×Dic47—81no—
778C2×Dic47C22×D411yescharacteristic
779C2×Dic47C22×D411yescharacteristic
780C2×Dic47C22×D411yescharacteristic
781C2×Dic47C22×D411yescharacteristic
782C2×Dic47C22×D411yescharacteristic
783C2×Dic47C22×D411yescharacteristic
784C2×Dic47C22×D411yescharacteristic
785D188—21no—
786D188—21no—
787D188—21no—
788D188—21no—
789D188—21no—
790D188—21no—
791D188—21no—
792D188—42no—
793D188—42no—
794D188—81no—
795D188—81no—
796D188—81no—
797D188H(5,𝔽2)12yes—
798C4×D47—21no—
799C4×D47—21no—
800C4×D47—41no—
801C4×D47—41no—
802C4×D47—42no—
803C4×D47—42no—
804C4×D47—81no—
805C4×D47—81no—
806C4×D47—81no—
807C4×D47—81no—
808C4×D47—81no—
809C4×D47—81no—
810C4×D47—81no—
811C4×D47—81no—
812C4×D47—81no—
813C4×D47—81no—
814Dic94—21no—
815Dic94—21no—
816Dic94—21no—
817Dic94—21no—
818Dic94—41no—
819Dic94—81no—
820C8×C47—21no—
821C8×C47—21no—
822C8×C47—21no—
823C8×C47—21no—
824C47⋊C8—21no—
825C47⋊C8—21no—
826C47⋊C8—21no—
827C47⋊C8—21no—
828#62027—471nomaximal, Sylow
829C22×C47—21no—
830C22×C47—21no—
831C22×C47—21no—
832C22×C47—21no—
833C22×C47—21no—
834C22×C47—21no—
835C22×C47—41no—
836C22×C47—41no—
837C22×C47—41no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47—41no—
841C22×C47C23×D411yescharacteristic
842C2×D47—21no—
843C2×D47—21no—
844C2×D47—21no—
845C2×D47—22no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—84no—
858C2×D47—162no—
859C2×D47—162no—
860C4×C47—21no—
861C4×C47—21no—
862C4×C47—21no—
863C4×C47—21no—
864C4×C47—41no—
865C4×C47—41no—
866C4×C47—41no—
867C4×C47—41no—
868C4×C47—41no—
869C4×C47—41no—
870C4×C47C2×H(5,𝔽2)11yescharacteristic
871C4×C47#58511yescharacteristic
872Dic47—21no—
873Dic47—21no—
874Dic47—21no—
875Dic47—21no—
876Dic47—21no—
877Dic47—21no—
878Dic47—21no—
879Dic47—41no—
880Dic47—41no—
881Dic47—41no—
882Dic47—41no—
883#3562—471no—
884#3513—471no—
885#3401—471no—
886#3396—471no—
887#3370—471no—
888#3360—471no—
889#3330—471no—
890#3327—471no—
891#3326D4711yescharacteristic, complemented
892#3317—471no—
893#3306—471no—
894#3297—471no—
895#3282—471no—
896#3274—471no—
897#3273—471no—
898#3273—471no—
899#3267—471no—
900#3265—471no—
901#3260—471no—
902#3257—471no—
903#3256—471no—
904#3225—471no—
905#3220—471no—
906#3212—471no—
907#3122—471no—
908#3120—471no—
909#3105—471no—
910#3045—471no—
911#3042—471no—
912#3036—471no—
913#2993—471no—
914C2×C47—41no—
915C2×C47—41no—
916C2×C47—81no—
917C2×C47—81no—
918C2×C47#348811yescharacteristic
919C2×C47#358411yescharacteristic
920C2×C47#358511yescharacteristic
921D47—41no—
922D47—42no—
923D47—81no—
924D47—81no—
925D47—81no—
926C2×AGL(1,ℤ/8)—471no—
927C2×AGL(1,ℤ/8)—471no—
928C2×AGL(1,ℤ/8)—471no—
929C2×AGL(1,ℤ/8)—471no—
930C2×#135—471no—
931C22×SD16—471no—
932#562—941no—
933#560—941no—
934#559—471no—
935#559—471no—
936#556—471no—
937#554—471no—
938#553—941no—
939#553—941no—
940#553C2×D4711yescharacteristic
941#552—471no—
942#551—941no—
943#551—941no—
944#551—941no—
945#550—471no—
946#548—471no—
947#548C2×D4711yescharacteristic, complemented
948#547—471no—
949#547—471no—
950#546—471no—
951#546—471no—
952#546—471no—
953#546—471no—
954#546—941no—
955D42—471no—
956#542—471no—
957#541—471no—
958#540—471no—
959#540—471no—
960#540—941no—
961#539—941no—
962#539—941no—
963#538—941no—
964#538—941no—
965#538—941no—
966#536—471no—
967#535—471no—
968#532—471no—
969#529—471no—
970#529—471no—
971#529—471no—
972#525—941no—
973C2×#123—941no—
974#520—471no—
975#518—471no—
976C2×C4×D4—471no—
977#497—471no—
978#496—471no—
979#495—471no—
980#495—471no—
981#495—471no—
982#493—471no—
983#490—471no—
984#489—471no—
985#488—471no—
986#488—471no—
987#488C2×D4711yescharacteristic, complemented
988#487—471no—
989#484—471no—
990#484—471no—
991#483C2×D4711yescharacteristic, complemented
992#482—471no—
993#482C2×D4711yescharacteristic, complemented
994#481—471no—
995#479—471no—
996#479—471no—
997#479—471no—
998#479C2×D4711yescharacteristic, complemented
999#478—471no—
1000#478—471no—
1001#478—471no—
1002#478—471no—
1003#476—471no—
1004#474—471no—
1005#470—471no—
1006#469—471no—
1007#469C2×D4711yescharacteristic, complemented
1008#468—471no—
1009#468—471no—
1010#468—471no—
1011#468—471no—
1012#468C2×D4711yescharacteristic, complemented
1013#466—471no—
1014#465—471no—
1015#465—471no—
1016#465—471no—
1017#464—471no—
1018#464—471no—
1019#464—471no—
1020#463—471no—
1021#463—471no—
1022#463—471no—
1023#463—471no—
1024#463—471no—
1025#463—471no—
1026#463—471no—
1027#463—471no—
1028#463—471no—
1029#463—471no—
1030#463—471no—
1031#463—471no—
1032#463C2×D4711yescharacteristic, complemented
1033#462—471no—
1034#461—471no—
1035#461—471no—
1036#461—471no—
1037#461—471no—
1038#461—471no—
1039#460—471no—
1040#460—471no—
1041#460—471no—
1042#460—471no—
1043#459—471no—
1044#459—471no—
1045#459—471no—
1046#459—471no—
1047#452—471no—
1048#452—471no—
1049#452—471no—
1050#452—471no—
1051#452—471no—
1052#451—471no—
1053#450—471no—
1054#449—471no—
1055#449—471no—
1056#449—471no—
1057#449—471no—
1058#449C2×D4711yescharacteristic, complemented
1059#448C2×D4711yescharacteristic, complemented
1060#447—471no—
1061#447—471no—
1062#447—471no—
1063#447—471no—
1064#447—471no—
1065#446—471no—
1066C8×Q8—471no—
1067#442—471no—
1068#442—471no—
1069#441—471no—
1070#440—471no—
1071C4×Q16—471no—
1072C4×SD16—471no—
1073C4×SD16—471no—
1074C4×SD16C2×D4711yescharacteristic, complemented
1075C4×D8—471no—
1076C4×D8—471no—
1077C4×D8—471no—
1078C4×D8—471no—
1079#436—471no—
1080#436—471no—
1081#436C2×D4711yescharacteristic, complemented
1082#435—471no—
1083#435—471no—
1084C8×D4—471no—
1085#433—471no—
1086#433—471no—
1087#431—471no—
1088#424—471no—
1089#424—471no—
1090#423—471no—
1091#419C2×D4711yescharacteristic, complemented
1092#417—471no—
1093#417—471no—
1094#417C2×D4711yescharacteristic, complemented
1095#416—471no—
1096C2×#102—471no—
1097C47#6202711yescharacteristic, complemented, Sylow
1098C2×#41—471no—
1099C2×#41—471no—
1100C2×#41—471no—
1101C2×#41—471no—
1102C2×#41—941no—
1103C2×#41C22×D4711yescharacteristic
1104C22×Q8C22×D4711yescharacteristic
1105C22×D4—471no—
1106C22×D4—471no—
1107C22×D4—471no—
1108C22×D4—941no—
1109C23×C4—941no—
1110AGL(1,ℤ/8)—1882no—
1111AGL(1,ℤ/8)—1882no—
1112AGL(1,ℤ/8)—1882no—
1113AGL(1,ℤ/8)—1882no—
1114#135—1882no—
1115C2×Q16—471no—
1116C2×Q16—471no—
1117C2×Q16—471no—
1118C2×SD16—471no—
1119C2×SD16—471no—
1120C2×SD16—471no—
1121C2×SD16—471no—
1122C2×SD16—471no—
1123C2×SD16—471no—
1124C2×SD16—471no—
1125C2×SD16—471no—
1126C2×SD16—471no—
1127C2×SD16—471no—
1128C2×SD16—1882no—
1129C2×SD16C22×D4711yescharacteristic
1130C2×SD16C22×D4711yescharacteristic
1131C2×D8—471no—
1132C2×D8—471no—
1133C2×D8—471no—
1134C2×D8—471no—
1135C2×D8—471no—
1136C2×D8—471no—
1137C2×D8—471no—
1138C2×D8—471no—
1139C2×D8C22×D4711yescharacteristic
1140C2×M16—471no—
1141C2×M16—471no—
1142C2×M16C22×D4711yescharacteristic
1143C2×M16C22×D4711yescharacteristic
1144C22×C8—471no—
1145C22×C8—471no—
1146C4⋊Q8—471no—
1147C4⋊Q8—471no—
1148C4⋊Q8—471no—
1149#127—471no—
1150#127—471no—
1151#127—471no—
1152#127—941no—
1153#126—21no—
1154#126—471no—
1155#126—471no—
1156#126—941no—
1157#126—941no—
1158#126—941no—
1159#126—941no—
1160#126—941no—
1161#126—941no—
1162#126—941no—
1163#126—941no—
1164#125—471no—
1165#125—471no—
1166#125—471no—
1167#125—941no—
1168#125—941no—
1169#125—941no—
1170#125C22×D4711yescharacteristic
1171#124—21no—
1172#124—471no—
1173#124—471no—
1174#124—471no—
1175#124—471no—
1176#124—471no—
1177#124—471no—
1178#124—471no—
1179#124—941no—
1180#124—941no—
1181#124—941no—
1182#124—941no—
1183#124C22×D4711yescharacteristic
1184#123—21no—
1185#123—471no—
1186#123—471no—
1187#123—941no—
1188#123—941no—
1189#123—941no—
1190#123—941no—
1191#123—941no—
1192#123—941no—
1193#123—941no—
1194#123—941no—
1195#123—941no—
1196#123—941no—
1197#123—941no—
1198#123—941no—
1199#123—941no—
1200#123—941no—
1201#123—941no—
1202#123—941no—
1203#123—941no—
1204#123—941no—
1205#123—941no—
1206#123—941no—
1207#123—941no—
1208#123—941no—
1209C22⋊Q8—21no—
1210C22⋊Q8—471no—
1211C22⋊Q8—471no—
1212C22⋊Q8—471no—
1213C22⋊Q8—471no—
1214C22⋊Q8—471no—
1215C22⋊Q8—941no—
1216C22⋊Q8—941no—
1217C22⋊Q8—941no—
1218C22⋊Q8—941no—
1219C22⋊Q8—941no—
1220C22⋊Q8—941no—
1221C22⋊Q8—941no—
1222C22⋊Q8—941no—
1223C22⋊Q8—941no—
1224C22⋊Q8C22×D4711yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—471no—
1228#121—471no—
1229#121—471no—
1230#121—471no—
1231#121—471no—
1232#121—941no—
1233#121—941no—
1234#121—941no—
1235#121—941no—
1236#121—941no—
1237#121—941no—
1238#121—941no—
1239#121—941no—
1240#121—941no—
1241#121—941no—
1242#121—941no—
1243#121—941no—
1244#121—941no—
1245#121—941no—
1246#121—941no—
1247#121—941no—
1248#121—941no—
1249#121C22×D4711yescharacteristic
1250#121C22×D4711yescharacteristic
1251#121C22×D4711yescharacteristic
1252#120—941no—
1253#120—941no—
1254#120—941no—
1255#120—941no—
1256#120—941no—
1257#120—941no—
1258#120—941no—
1259#120—941no—
1260C4×Q8—471no—
1261C4×Q8—471no—
1262C4×Q8—471no—
1263C4×Q8—471no—
1264C4×Q8—471no—
1265C4×Q8C22×D4711yescharacteristic
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—471no—
1269C4×D4—471no—
1270C4×D4—471no—
1271C4×D4—471no—
1272C4×D4—471no—
1273C4×D4—471no—
1274C4×D4—471no—
1275C4×D4—471no—
1276C4×D4—471no—
1277C4×D4—471no—
1278C4×D4—471no—
1279C4×D4—471no—
1280C4×D4—941no—
1281C4×D4—941no—
1282C4×D4—941no—
1283C4×D4—941no—
1284C4×D4—941no—
1285C4×D4—941no—
1286C4×D4—941no—
1287C4×D4—941no—
1288C4×D4—941no—
1289C4×D4—941no—
1290C4×D4—941no—
1291C4×D4—941no—
1292C4×D4—941no—
1293C4×D4—941no—
1294C4×D4C22×D4711yescharacteristic
1295C4×D4C22×D4711yescharacteristic
1296#117—471no—
1297#117—471no—
1298#117—941no—
1299#117—941no—
1300#117—941no—
1301#117—941no—
1302#117—941no—
1303#117C22×D4711yescharacteristic
1304C2×C4⋊C4—471no—
1305C2×C4⋊C4—941no—
1306C2×C4⋊C4—941no—
1307C2×C4⋊C4—941no—
1308C2×C4⋊C4C22×D4711yescharacteristic
1309C2×C22⋊C4—941no—
1310C2×C22⋊C4—941no—
1311C2×C22⋊C4—941no—
1312C2×C22⋊C4—941no—
1313C2×C22⋊C4—941no—
1314C2×C22⋊C4—941no—
1315C2×C22⋊C4—941no—
1316C2×C42—471no—
1317#107—471no—
1318#107—471no—
1319#107—471no—
1320#107C22×D4711yescharacteristic
1321#106—471no—
1322#106—471no—
1323#106C22×D4711yescharacteristic
1324#106C22×D4711yescharacteristic
1325C4⋊C8—471no—
1326C4⋊C8—471no—
1327C4⋊C8—471no—
1328C4⋊C8—471no—
1329C4⋊C8—471no—
1330C4⋊C8—471no—
1331C4⋊C8—471no—
1332C4⋊C8—471no—
1333C4⋊C8—471no—
1334C4⋊C8C22×D4711yescharacteristic
1335#103—471no—
1336#103—471no—
1337#103—471no—
1338#103—471no—
1339#103—471no—
1340#103—471no—
1341#103—471no—
1342#103—471no—
1343#103C22×D4711yescharacteristic
1344#103C22×D4711yescharacteristic
1345#103C22×D4711yescharacteristic
1346#103C22×D4711yescharacteristic
1347#103C22×D4711yescharacteristic
1348#103C22×D4711yescharacteristic
1349#102—471no—
1350#102—471no—
1351#102—471no—
1352#102—471no—
1353#102—471no—
1354#102—471no—
1355#102—471no—
1356#102—471no—
1357#102—471no—
1358#102—471no—
1359#102—471no—
1360#102—471no—
1361#102—471no—
1362#102—471no—
1363#102C22×D4711yescharacteristic
1364#102C22×D4711yescharacteristic
1365#102C22×D4711yescharacteristic
1366#102C22×D4711yescharacteristic
1367C22⋊C8—471no—
1368C22⋊C8—471no—
1369C22⋊C8—471no—
1370C22⋊C8—471no—
1371C22⋊C8C22×D4711yescharacteristic
1372C22⋊C8C22×D4711yescharacteristic
1373#97—471no—
1374#97—471no—
1375C4×C8—471no—
1376C4×C8—471no—
1377C4×C8—471no—
1378C4×C8C22×D4711yescharacteristic
1379C24—941no—
1380C24—941no—
1381C24—941no—
1382#41—41no—
1383#41—41no—
1384#41—942no—
1385#41—3762no—
1386#41—1881no—
1387#41—1881no—
1388#41—1881no—
1389#41—1881no—
1390#41—1881no—
1391#41—1881no—
1392#41—1881no—
1393C2×Q8—21no—
1394C2×Q8—41no—
1395C2×Q8—41no—
1396C2×Q8—471no—
1397C2×Q8—471no—
1398C2×Q8—471no—
1399C2×Q8—941no—
1400C2×Q8C23×D4711yescharacteristic
1401C2×Q8C23×D4711yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—471no—
1407C2×D4—471no—
1408C2×D4—471no—
1409C2×D4—471no—
1410C2×D4—471no—
1411C2×D4—471no—
1412C2×D4—942no—
1413C2×D4—941no—
1414C2×D4—941no—
1415C2×D4—941no—
1416C2×D4—941no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—941no—
1423C2×D4—942no—
1424C2×D4—941no—
1425C2×D4—941no—
1426C2×D4—941no—
1427C2×D4—941no—
1428C2×D4—941no—
1429C2×D4—941no—
1430C2×D4—941no—
1431C2×D4—3762no—
1432C2×D4—1881no—
1433C2×D4—1881no—
1434C2×D4—1881no—
1435C2×D4—1881no—
1436C2×D4D4×D4711yescharacteristic
1437C2×D4C23×D4711yescharacteristic
1438C2×D4C23×D4711yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—471no—
1444C22×C4—471no—
1445C22×C4—471no—
1446C22×C4—941no—
1447C22×C4—941no—
1448C22×C4—941no—
1449C22×C4—941no—
1450C22×C4—941no—
1451C22×C4—941no—
1452C22×C4—941no—
1453C22×C4—941no—
1454C22×C4—941no—
1455C22×C4—941no—
1456C22×C4—941no—
1457C22×C4—941no—
1458C22×C4—941no—
1459C22×C4—941no—
1460C22×C4—941no—
1461C22×C4—3762no—
1462C22×C4C23×D4711yescharacteristic
1463C22×C4C23×D4711yescharacteristic
1464Q16—1881no—
1465Q16—1881no—
1466Q16—1881no—
1467SD16—41no—
1468SD16—41no—
1469SD16—942no—
1470SD16—942no—
1471SD16—942no—
1472SD16—1881no—
1473SD16—1881no—
1474SD16—1881no—
1475SD16—1881no—
1476SD16—1881no—
1477SD16—1881no—
1478SD16—1881no—
1479D8—41no—
1480D8—942no—
1481D8—942no—
1482D8—942no—
1483D8—1881no—
1484D8—1881no—
1485D8—1881no—
1486D8—1881no—
1487D8—1881no—
1488M16—41no—
1489M16—41no—
1490M16—1881no—
1491M16—1881no—
1492C2×C8—471no—
1493C2×C8—471no—
1494C2×C8—471no—
1495C2×C8—471no—
1496C2×C8—1881no—
1497C2×C8—1881no—
1498C2×C8C23×D4711yescharacteristic
1499C2×C8C23×D4711yescharacteristic
1500C2×C8C23×D4711yescharacteristic
1501C2×C8C23×D4711yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—471no—
1508C4⋊C4—471no—
1509C4⋊C4—471no—
1510C4⋊C4—471no—
1511C4⋊C4—471no—
1512C4⋊C4—471no—
1513C4⋊C4—471no—
1514C4⋊C4—471no—
1515C4⋊C4—471no—
1516C4⋊C4—471no—
1517C4⋊C4—471no—
1518C4⋊C4—941no—
1519C4⋊C4—941no—
1520C4⋊C4—941no—
1521C4⋊C4—941no—
1522C4⋊C4—941no—
1523C4⋊C4—941no—
1524C4⋊C4—941no—
1525C4⋊C4—941no—
1526C4⋊C4—941no—
1527C4⋊C4—941no—
1528C4⋊C4—941no—
1529C4⋊C4—941no—
1530C4⋊C4—941no—
1531C4⋊C4—941no—
1532C4⋊C4—941no—
1533C4⋊C4—941no—
1534C4⋊C4—941no—
1535C4⋊C4—941no—
1536C4⋊C4D4×D4711yescharacteristic
1537C4⋊C4C23×D4711yescharacteristic
1538C4⋊C4C23×D4711yescharacteristic
1539C4⋊C4C23×D4711yescharacteristic
1540C4⋊C4C23×D4711yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—471no—
1550C22⋊C4—471no—
1551C22⋊C4—471no—
1552C22⋊C4—471no—
1553C22⋊C4—471no—
1554C22⋊C4—471no—
1555C22⋊C4—471no—
1556C22⋊C4—471no—
1557C22⋊C4—941no—
1558C22⋊C4—941no—
1559C22⋊C4—941no—
1560C22⋊C4—941no—
1561C22⋊C4—941no—
1562C22⋊C4—941no—
1563C22⋊C4—941no—
1564C22⋊C4—941no—
1565C22⋊C4—941no—
1566C22⋊C4—941no—
1567C22⋊C4—941no—
1568C22⋊C4—941no—
1569C22⋊C4—941no—
1570C22⋊C4—941no—
1571C22⋊C4—941no—
1572C22⋊C4—941no—
1573C22⋊C4—941no—
1574C22⋊C4—941no—
1575C22⋊C4—941no—
1576C22⋊C4—941no—
1577C22⋊C4—941no—
1578C22⋊C4—941no—
1579C22⋊C4—941no—
1580C22⋊C4—941no—
1581C22⋊C4—941no—
1582C22⋊C4—941no—
1583C22⋊C4—941no—
1584C22⋊C4—941no—
1585C22⋊C4—941no—
1586C22⋊C4—941no—
1587C22⋊C4D4×D4711yescharacteristic
1588C22⋊C4D4×D4711yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—471no—
1592C42—471no—
1593C42—471no—
1594C42—471no—
1595C42—471no—
1596C42—941no—
1597C42—941no—
1598C42—941no—
1599C42—941no—
1600C42C23×D4711yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—471no—
1604C23—941no—
1605C23—941no—
1606C23—941no—
1607C23—941no—
1608C23—3761no—
1609C23—3761no—
1610C23—3761no—
1611C23—3761no—
1612C23—3761no—
1613C23—3761no—
1614C23—1882no—
1615C23—1882no—
1616C23—1882no—
1617C23C2×D4×D4711yescharacteristic
1618C23C2×D4×D4711yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—81no—
1624Q8—941no—
1625Q8—941no—
1626Q8—941no—
1627Q8—941no—
1628Q8—3761no—
1629Q8—1881no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—41no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—472no—
1640D4—941no—
1641D4—941no—
1642D4—941no—
1643D4—941no—
1644D4—941no—
1645D4—941no—
1646D4—941no—
1647D4—3761no—
1648D4—3761no—
1649D4—3761no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—3761no—
1654D4—3761no—
1655D4—3761no—
1656D4—3761no—
1657D4—3761no—
1658D4—3761no—
1659D4—3761no—
1660D4—1882no—
1661D4—1882no—
1662D4—1881no—
1663D4—1881no—
1664D4—1882no—
1665D4—1882no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—471no—
1681C2×C4—471no—
1682C2×C4—471no—
1683C2×C4—471no—
1684C2×C4—471no—
1685C2×C4—471no—
1686C2×C4—471no—
1687C2×C4—941no—
1688C2×C4—941no—
1689C2×C4—941no—
1690C2×C4—941no—
1691C2×C4—941no—
1692C2×C4—941no—
1693C2×C4—3761no—
1694C2×C4—3761no—
1695C2×C4—3761no—
1696C2×C4—3761no—
1697C2×C4—3761no—
1698C2×C4—3761no—
1699C2×C4—3761no—
1700C2×C4—3761no—
1701C2×C4—3761no—
1702C2×C4—3761no—
1703C2×C4—3761no—
1704C2×C4—3761no—
1705C2×C4—3761no—
1706C2×C4—1881no—
1707C2×C4—1881no—
1708C2×C4—1882no—
1709C2×C4—1882no—
1710C2×C4C2×D4×D4711yescharacteristic
1711C2×C4C2×D4×D4711yescharacteristic
1712C2×C4C2×D4×D4711yescharacteristic
1713C2×C4C2×D4×D4711yescharacteristic
1714C2×C4C24×D4711yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—941no—
1720C8—941no—
1721C8—941no—
1722C8—941no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—941no—
1736C22—942no—
1737C22—941no—
1738C22—941no—
1739C22—3764no—
1740C22—1881no—
1741C22—1881no—
1742C22—1881no—
1743C22—1881no—
1744C22—1881no—
1745C22—1881no—
1746C22—1881no—
1747C22—1881no—
1748C22—1881no—
1749C22—1881no—
1750C22—1881no—
1751C22—7522no—
1752C22—7522no—
1753C22C22×D4×D4711yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—941no—
1765C4—941no—
1766C4—941no—
1767C4—941no—
1768C4—941no—
1769C4—941no—
1770C4—941no—
1771C4—1881no—
1772C4—1881no—
1773C4—1881no—
1774C4—1881no—
1775C4H(5,𝔽2)×D4711yescharacteristic
1776C4#1568995911yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—81no—
1780C2—81no—
1781C2—3761no—
1782C2—3761no—
1783C2—3761no—
1784C2—1881no—
1785C2—1882no—
1786C2#2025705111yescharacteristic
1787C2#2025816111yescharacteristic
1788C2#2025816611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3326C2
socleC22×C47C23×D4
hypercenter#3326D47
hypocenterC47#62027
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3326

Complements

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

NH ≅ G/Ntype
1. #20257979C2semidirect
2. #20257335C2semidirect
3. #20256450C2semidirect
4. #20256395C2semidirect
5. #20256147C2semidirect
6. #20256040C2semidirect
7. #20255689C2semidirect
8. #20255652C2semidirect
9. #20255512C2semidirect
10. #20255347C2semidirect
11. #20255232C2semidirect
12. #20255096C2semidirect
13. #20255005C2semidirect
14. #20255000C2semidirect
15. #20254996C2semidirect
16. #20254906C2semidirect
17. #20254876C2semidirect
18. #20254830C2semidirect
19. #20254800C2semidirect
20. #20254791C2semidirect
21. #20254495C2semidirect
22. #20254436C2semidirect
23. #20254365C2semidirect
24. #20253627C2semidirect
25. #20253605C2semidirect
26. #20253439C2semidirect
27. #20252926C2semidirect
28. #20252899C2semidirect
29. #20252850C2semidirect
30. #20252532C2semidirect
31. C47×#3326C2semidirect
35. C2×#13094048C22semidirect
37. C22×#10625336C22semidirect
40. #15689856C22semidirect
41. #15689855C22semidirect
42. #15689845C22semidirect
43. #15689829C22semidirect
46. #15689812C22semidirect
53. #15689772C22semidirect
57. #15689769C22semidirect
58. #15689764C22semidirect
59. #15689757C22semidirect
60. #15689740C22semidirect
61. #15689733C22semidirect
63. #15689726C22semidirect
70. #15689697C22semidirect
71. #15689687C22semidirect
72. #15689672C22semidirect
73. #15689660C22semidirect
74. #15689658C22semidirect
79. #15689597C22semidirect
80. C4×D4×D47C22semidirect
81. #15689514C22semidirect
83. #15689507C22semidirect
84. #15689505C22semidirect
85. #15689504C22semidirect
87. #15689486C22semidirect
88. #15689484C22semidirect
89. #15689480C22semidirect
90. #15689479C22semidirect
91. #15689472C22semidirect
92. #15689458C22semidirect
93. #15689457C22semidirect
94. #15689447C22semidirect
95. #15689443C22semidirect
96. #15689433C22semidirect
97. #15689432C22semidirect
98. #15689429C22semidirect
99. #15689426C22semidirect
100. #15689422C22semidirect
101. #15689421C22semidirect
102. #15689420C22semidirect
103. #15689412C22semidirect
104. #15689401C22semidirect
105. #15689380C22semidirect
107. #15689372C22semidirect
108. #15689370C22semidirect
109. #15689369C22semidirect
110. #15689369C22semidirect
112. #15689354C22semidirect
113. #15689350C22semidirect
114. #15689350C22semidirect
115. #15689348C22semidirect
116. #15689348C22semidirect
117. #15689345C22semidirect
121. #15689341C22semidirect
122. #15689341C22semidirect
123. #15689340C22semidirect
125. #15689339C22semidirect
126. #15689338C22semidirect
127. #15689337C22semidirect
128. #15689336C22semidirect
129. #15689335C22semidirect
130. #15689332C22semidirect
131. #15689327C22semidirect
132. #15689327C22semidirect
133. #15689327C22semidirect
134. #15689327C22semidirect
135. #15689326C22semidirect
136. #15689322C22semidirect
137. #15689322C22semidirect
138. #15689322C22semidirect
139. #15689321C22semidirect
142. #15689317C22semidirect
143. #15689316C22semidirect
144. #15689288C22semidirect
146. #15689287C22semidirect
147. #15689286C22semidirect
149. #15689279C22semidirect
150. #15689272C22semidirect
152. #15689269C22semidirect
153. #15689268C22semidirect
156. #15689259C22semidirect
158. #15689256C22semidirect
159. #15689256C22semidirect
160. #15689253C22semidirect
161. #15689247C22semidirect
162. #15689234C22semidirect
163. #15689232C22semidirect
164. #15689229C22semidirect
165. #15689226C22semidirect
166. #15689215C22semidirect
167. C4×#10625336C22semidirect
168. #15689210C22semidirect
171. C4×#10625334C22semidirect
172. #15689203C22semidirect
173. #15689199C22semidirect
174. #15689199C22semidirect
175. #15689191C22semidirect
176. #15689191C22semidirect
177. D4×C47⋊C8C22semidirect
178. #15689181C22semidirect
179. #15689181C22semidirect
180. #15689174C22semidirect
181. #15689151C22semidirect
182. #15689151C22semidirect
183. #15689145C22semidirect
184. #15689123C22semidirect
185. #15689121C22semidirect
186. #15689117C22semidirect
187. C2×#13093944C22semidirect
189. C47×#548C22semidirect
190. C47×#488C22semidirect
191. C47×#483C22semidirect
192. C47×#482C22semidirect
193. C47×#479C22semidirect
194. C47×#469C22semidirect
195. C47×#468C22semidirect
196. C47×#463C22semidirect
197. C47×#449C22semidirect
198. C47×#448C22semidirect
199. C4×SD16×C47C22semidirect
200. C47×#436C22semidirect
201. C47×#419C22semidirect
202. C47×#417C22semidirect
891. #3326D47semidirect
947. #548C2×D47semidirect
987. #488C2×D47semidirect
991. #483C2×D47semidirect
993. #482C2×D47semidirect
998. #479C2×D47semidirect
1007. #469C2×D47semidirect
1012. #468C2×D47semidirect
1032. #463C2×D47semidirect
1058. #449C2×D47semidirect
1059. #448C2×D47semidirect
1074. C4×SD16C2×D47semidirect
1081. #436C2×D47semidirect
1091. #419C2×D47semidirect
1094. #417C2×D47semidirect
1097. C47#62027semidirect

Maximal subgroups

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

subgroupindex
#202579792
#202573352
#202564502
#202563952
#202561472
#202560402
#202556892
#202556522
#202555122
#202553472
#202552322
#202550962
#202550052
#202550002
#202549962
#202549062
#202548762
#202548302
#202548002
#202547912
#202544952
#202544362
#202543652
#202536272
#202536052
#202534392
#202529262
#202528992
#202528502
#202525322
C47×#33262
#6202747