Finite Group Databasebeta

← #27094444

Subgroups — #27094444

Order 12032.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1890 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257234C211yesmaximal, characteristic, complemented
2#20257148C211yesmaximal, characteristic, complemented
3#20255689C211yesmaximal, characteristic, complemented
4#20255688C211yesmaximal, characteristic, complemented
5#20255626C211yesmaximal, characteristic, complemented
6#20255625C211yesmaximal, characteristic, complemented
7#20255594C211yesmaximal, characteristic, complemented
8#20255591C211yesmaximal, characteristic, complemented
9#20255588C211yesmaximal, characteristic, complemented
10#20255314C211yesmaximal, characteristic, complemented
11#20255309C211yesmaximal, characteristic, complemented
12#20255245C211yesmaximal, characteristic, complemented
13#20255238C211yesmaximal, characteristic, complemented
14#20255235C211yesmaximal, characteristic, complemented
15#20255232C211yesmaximal, characteristic, complemented
16#20255199C211yesmaximal, characteristic, complemented
17#20255194C211yesmaximal, characteristic, complemented
18#20253709C211yesmaximal, characteristic, complemented
19#20253369C211yesmaximal, characteristic, complemented
20#20253361C211yesmaximal, characteristic, complemented
21#20253183C211yesmaximal, characteristic, complemented
22#20253065C211yesmaximal, characteristic, complemented
23#20253063C211yesmaximal, characteristic, complemented
24#20252850C211yesmaximal, characteristic, complemented
25#20252653C211yesmaximal, characteristic, complemented
26#20252651C211yesmaximal, characteristic, complemented
27C4×D8×D47C211yesmaximal, characteristic, complemented
28#20252097C211yesmaximal, characteristic, complemented
29#20251913C211yesmaximal, characteristic, complemented
30#20251912C211yesmaximal, characteristic, complemented
31C47×#3322C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic
33C2×#13094069C2211yescharacteristic
34C2×#13094051C2211yescharacteristic, complemented
35C2×#13094048C2211yescharacteristic, complemented
36C2×D8×D47C2211yescharacteristic
37C2×#13094032C2211yescharacteristic, complemented
38C2×#13094032C2211yescharacteristic, complemented
39#15689857—21no—
40#15689856—21no—
41#15689840—21no—
42#15689837C2211yescharacteristic, complemented
43#15689836C2211yescharacteristic, complemented
44#15689826C2211yescharacteristic, complemented
45#15689823C2211yescharacteristic, complemented
46#15689819C2211yescharacteristic, complemented
47#15689791—21no—
48#15689775C2211yescharacteristic, complemented
49#15689774C2211yescharacteristic, complemented
50#15689773C2211yescharacteristic, complemented
51#15689772C2211yescharacteristic, complemented
52#15689771—21no—
53#15689769C2211yescharacteristic, complemented
54#15689768C2211yescharacteristic, complemented
55#15689766C2211yescharacteristic, complemented
56#15689763—21no—
57#15689762—21no—
58#15689757C2211yescharacteristic, complemented
59D4×C22⋊D47C2211yescharacteristic, complemented
60#15689755—21no—
61#15689712—21no—
62#15689705—21no—
63#15689703C2211yescharacteristic
64#15689702C2211yescharacteristic
65#15689689C2211yescharacteristic, complemented
66#15689689C2211yescharacteristic, complemented
67#15689684—21no—
68#15689683—21no—
69#15689679C2211yescharacteristic, complemented
70#15689672C2211yescharacteristic
71#15689670C2211yescharacteristic
72#15689632—21no—
73#15689631—21no—
74C2×#13093997—21no—
75#121×D47—21no—
76#15689604C2211yescharacteristic, complemented
77#15689603C2211yescharacteristic, complemented
78C4×D4×D47C2211yescharacteristic
79C4×D4×D47C2211yescharacteristic, complemented
80#15689480C2211yescharacteristic, complemented
81#15689478C2211yescharacteristic, complemented
82#15689477C2211yescharacteristic, complemented
83#15689472C2211yescharacteristic, complemented
84#15689472C2211yescharacteristic, complemented
85#15689468C2211yescharacteristic, complemented
86#15689468C2211yescharacteristic, complemented
87#15689466C2211yescharacteristic, complemented
88#15689465C2211yescharacteristic, complemented
89#15689463C2211yescharacteristic, complemented
90#15689460C2211yescharacteristic, complemented
91#15689458C2211yescharacteristic, complemented
92#15689457C2211yescharacteristic, complemented
93#15689456C2211yescharacteristic, complemented
94#15689449C2211yescharacteristic, complemented
95#15689447C2211yescharacteristic, complemented
96#15689446C2211yescharacteristic, complemented
97#15689444C2211yescharacteristic, complemented
98#15689438C2211yescharacteristic, complemented
99#15689437C2211yescharacteristic, complemented
100#15689435C2211yescharacteristic, complemented
101#15689424C2211yescharacteristic, complemented
102#15689423C2211yescharacteristic, complemented
103#15689420C2211yescharacteristic, complemented
104#15689412C2211yescharacteristic, complemented
105#15689411C2211yescharacteristic, complemented
106#15689402C2211yescharacteristic, complemented
107#15689401C2211yescharacteristic, complemented
108#15689376C2211yescharacteristic, complemented
109#15689375C2211yescharacteristic, complemented
110#15689375C2211yescharacteristic, complemented
111#15689372C2211yescharacteristic, complemented
112#15689369C2211yescharacteristic, complemented
113#15689368C2211yescharacteristic, complemented
114#15689360C2211yescharacteristic, complemented
115#15689357C2211yescharacteristic, complemented
116#15689357C2211yescharacteristic, complemented
117#15689356C2211yescharacteristic, complemented
118#15689354C2211yescharacteristic, complemented
119#15689353C2211yescharacteristic, complemented
120#15689350C2211yescharacteristic, complemented
121#15689349C2211yescharacteristic, complemented
122#15689339C2211yescharacteristic, complemented
123#15689338C2211yescharacteristic, complemented
124#15689335C2211yescharacteristic, complemented
125#15689327C2211yescharacteristic, complemented
126#15689326C2211yescharacteristic, complemented
127#15689317C2211yescharacteristic, complemented
128#15689316C2211yescharacteristic, complemented
129#15689271C2211yescharacteristic, complemented
130#15689270C2211yescharacteristic, complemented
131#15689269C2211yescharacteristic, complemented
132#15689268C2211yescharacteristic, complemented
133#15689267C2211yescharacteristic, complemented
134#15689266C2211yescharacteristic, complemented
135#15689265C2211yescharacteristic, complemented
136#15689259C2211yescharacteristic, complemented
137#15689258C2211yescharacteristic, complemented
138#15689258C2211yescharacteristic, complemented
139#15689257C2211yescharacteristic, complemented
140#15689256C2211yescharacteristic, complemented
141#15689255C2211yescharacteristic, complemented
142#15689255C2211yescharacteristic, complemented
143C4×D376C2211yescharacteristic, complemented
144D8×Dic47C2211yescharacteristic, complemented
145#15689205C2211yescharacteristic, complemented
146C4×#10625334C2211yescharacteristic, complemented
147C4×#10625334C2211yescharacteristic, complemented
148#15689203C2211yescharacteristic, complemented
149#15689203C2211yescharacteristic, complemented
150#15689202C2211yescharacteristic, complemented
151#15689199C2211yescharacteristic, complemented
152#15689199C2211yescharacteristic, complemented
153D4×C47⋊C8C2211yescharacteristic, complemented
154#15689188C2211yescharacteristic, complemented
155(C22⋊D47)⋊C8C2211yescharacteristic, complemented
156(C22⋊D47)⋊C8C2211yescharacteristic, complemented
157#15689164C2211yescharacteristic, complemented
158#15689162C2211yescharacteristic, complemented
159#107×D47C2211yescharacteristic, complemented
160#15689145C2211yescharacteristic, complemented
161#15689129C2211yescharacteristic, complemented
162#15689126C2211yescharacteristic
163#15689126C2211yescharacteristic
164#15689126C2211yescharacteristic, complemented
165#15689126C2211yescharacteristic, complemented
166#15689125C2211yescharacteristic, complemented
167#15689123C2211yescharacteristic, complemented
168#15689123C2211yescharacteristic, complemented
169#15689121C2211yescharacteristic, complemented
170#15689121C2211yescharacteristic, complemented
171#15689119C2211yescharacteristic, complemented
172#15689118C2211yescharacteristic, complemented
173#15689118C2211yescharacteristic, complemented
174#15689118C2211yescharacteristic, complemented
175#15689117C2211yescharacteristic, complemented
176#15689116C2211yescharacteristic, complemented
177#15689116C2211yescharacteristic, complemented
178#15689116C2211yescharacteristic, complemented
179C2×#13093945C2211yescharacteristic, complemented
180C2×#13093944C2211yescharacteristic, complemented
181#102×D47C2211yescharacteristic
182#102×D47C2211yescharacteristic, complemented
183#102×D47C2211yescharacteristic, complemented
184#102×D47C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186#15689088C2211yescharacteristic, complemented
187C4×C8×D47C2211yescharacteristic, complemented
188C47×#553C2211yescharacteristic, complemented
189C47×#546C2211yescharacteristic, complemented
190C47×#488C2211yescharacteristic, complemented
191C47×#485C2211yescharacteristic, complemented
192C47×#480C2211yescharacteristic, complemented
193C47×#478C2211yescharacteristic, complemented
194C47×#469C2211yescharacteristic, complemented
195C47×#468C2211yescharacteristic, complemented
196C47×#463C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic, complemented
198C47×#447C2211yescharacteristic, complemented
199C4×D8×C47C2211yescharacteristic, complemented
200C47×#436C2211yescharacteristic, complemented
201C47×#418C2211yescharacteristic, complemented
202C47×#417C2211yescharacteristic, complemented
203#13094070—24no—
204#13094070—42no—
205#13094069—24no—
206#13094069—42no—
207C2×#10625354C2311yescharacteristic
208C2×#10625354C2311yescharacteristic
209C2×#10625350—21no—
210C2×#10625350—21no—
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625350C2311yescharacteristic
214C2×#10625352—21no—
215C2×#10625352—21no—
216C2×#10625352C2311yescharacteristic
217C2×#10625352C2311yescharacteristic
218C22×D188—21no—
219C22×D188C2311yescharacteristic
220C22×C22⋊D47—21no—
221C22×C22⋊D47—21no—
222C22×C22⋊D47—21no—
223C2×D4×D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47C2311yescharacteristic
228C2×D4×D47C2311yescharacteristic
229C2×D4×D47C2311yescharacteristic
230C2×D4×D47C2311yescharacteristic
231C22×C4×D47—21no—
232C22×C4×D47—21no—
233#13094051—42no—
234#13094048—42no—
235C2×#10625325C2311yescharacteristic
236C2×#10625335C2311yescharacteristic
237C2×#10625336C2311yescharacteristic
238C2×D376C2311yescharacteristic
239C2×D376C2311yescharacteristic
240C2×#10625334C2311yescharacteristic
241C2×#10625334C2311yescharacteristic
242C2×#10625334C2311yescharacteristic
243C2×#10625334C2311yescharacteristic
244D8×D47—24no—
245#13094032—42no—
246#13094032—42no—
247C2×#10625324C2311yescharacteristic
248C2×#10625324C2311yescharacteristic
249C2×#10625324C2311yescharacteristic
250C2×#10625324C2311yescharacteristic
251C22×C47⋊C8C2311yescharacteristic
252C22×C47⋊C8C2311yescharacteristic
253C2×C8×D47C2311yescharacteristic
254C2×C8×D47C2311yescharacteristic
255C2×C8×D47C2311yescharacteristic
256C2×C8×D47C2311yescharacteristic
257#13094023D411yescharacteristic
258#13094023C2311yescharacteristic
259#13094023C2311yescharacteristic
260#13094022C2311yescharacteristic
261#13094020—21no—
262#13094020—21no—
263#13094020D411yescharacteristic
264#13094020C2311yescharacteristic
265#13094019—21no—
266#13094019—21no—
267#13094017—21no—
268#13094016C2311yescharacteristic
269#13094012—21no—
270#13094012C2311yescharacteristic
271#13094011—21no—
272#13094010—21no—
273#13094010—21no—
274#13094010—21no—
275#13094010—21no—
276#13094010D411yescharacteristic
277#13094010D411yescharacteristic
278#13094009—21no—
279#13094009—21no—
280#13094009—21no—
281#13094009—21no—
282#13094008—21no—
283#13094007—21no—
284#13094007—21no—
285#13094007—21no—
286#13094006—21no—
287#13094006—21no—
288#13094006—21no—
289#13094006—21no—
290#13094005—21no—
291#13094005—21no—
292#13094004C2311yescharacteristic
293#13094003C2311yescharacteristic
294#13094002—21no—
295#13094002—21no—
296#13094002—21no—
297#13094002—21no—
298#13094001—21no—
299#13094001—21no—
300#13094000C2311yescharacteristic
301#13093999—21no—
302#13093999—21no—
303#13093999D411yescharacteristic
304#13093999C2311yescharacteristic
305#13093999C2311yescharacteristic
306#13093999C2311yescharacteristic
307#13093998—21no—
308#13093998C2311yescharacteristic
309#13093998C2311yescharacteristic
310#13093998C2311yescharacteristic
311#13093997—21no—
312#13093997—21no—
313#13093997—21no—
314#13093997—21no—
315#13093997—21no—
316#13093997—21no—
317#13093997—21no—
318#13093997—21no—
319#13093997—21no—
320#13093997—21no—
321#13093997—21no—
322#13093997D411yescharacteristic
323#13093997D411yescharacteristic
324#13093996—21no—
325#13093996—21no—
326#13093996—21no—
327#13093996—21no—
328#13093996—21no—
329#13093995—21no—
330#13093995D411yescharacteristic
331#13093995C2311yescharacteristic
332#13093995C2311yescharacteristic
333#13093995C2311yescharacteristic
334#13093994—21no—
335#13093994—21no—
336#13093994—21no—
337#13093994—21no—
338#13093994—21no—
339#13093993—21no—
340#13093992—21no—
341#13093992—21no—
342#13093992—21no—
343#13093992—21no—
344#13093992—21no—
345C4×Dic94—21no—
346#13093989—21no—
347#13093989—21no—
348#13093989—21no—
349C4×D188—21no—
350C4×D188C2311yescharacteristic
351C4×D188C2311yescharacteristic
352C4×D188C2311yescharacteristic
353D4×Dic47C2311yescharacteristic
354D4×Dic47C2311yescharacteristic
355#13093986—21no—
356#13093986—21no—
357#13093986C2311yescharacteristic
358#13093986C2311yescharacteristic
359C4×C22⋊D47—21no—
360C4×C22⋊D47—21no—
361C4×C22⋊D47—21no—
362C4×C22⋊D47—21no—
363C4×C22⋊D47—21no—
364C4×C22⋊D47C2311yescharacteristic
365C4×C22⋊D47C2311yescharacteristic
366(C22⋊D47)⋊C4—21no—
367(C22⋊D47)⋊C4—21no—
368(C22⋊D47)⋊C4—21no—
369(C22⋊D47)⋊C4—21no—
370(C22⋊D47)⋊C4—21no—
371(C22⋊D47)⋊C4—21no—
372(C22⋊D47)⋊C4—21no—
373#13093983C2311yescharacteristic
374#13093982C2311yescharacteristic
375#13093982C2311yescharacteristic
376#13093982C2311yescharacteristic
377#13093982C2311yescharacteristic
378#13093981—21no—
379#13093980—21no—
380C2×C4⋊Dic47C2311yescharacteristic
381C2×Dic47⋊C4—21no—
382C4⋊C4×D47—21no—
383C4⋊C4×D47C2311yescharacteristic
384C4⋊C4×D47C2311yescharacteristic
385C4⋊C4×D47C2311yescharacteristic
386C4⋊C4×D47C2311yescharacteristic
387C2×(C2×D47)⋊C4—21no—
388C22⋊C4×D47—21no—
389C22⋊C4×D47—21no—
390C22⋊C4×D47—21no—
391C22⋊C4×D47—21no—
392C42×D47C2311yescharacteristic
393#13093958C2311yescharacteristic
394#13093958C2311yescharacteristic
395#13093957C2311yescharacteristic
396#13093957C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093956C2311yescharacteristic
400#13093955C2311yescharacteristic
401#13093955C2311yescharacteristic
402C4⋊(C47⋊C8)C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093948C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093947C2311yescharacteristic
412#13093947C2311yescharacteristic
413#13093947C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
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
441C4×C47⋊C8C2311yescharacteristic
442C8×Dic47C2311yescharacteristic
443C8×Dic47C2311yescharacteristic
444C2×#41×C47C2311yescharacteristic
445C22×D4×C47C2311yescharacteristic
446C2×SD16×C47C2311yescharacteristic
447C2×D8×C47C2311yescharacteristic
448C2×D8×C47C2311yescharacteristic
449C2×M16×C47C2311yescharacteristic
450C2×M16×C47C2311yescharacteristic
451#126×C47—21no—
452#125×C47C2311yescharacteristic
453#124×C47C2311yescharacteristic
454#123×C47—21no—
455#123×C47—21no—
456C22⋊Q8×C47C2311yescharacteristic
457#121×C47—21no—
458#121×C47—21no—
459#121×C47C2311yescharacteristic
460#121×C47C2311yescharacteristic
461#121×C47C2311yescharacteristic
462#120×C47—21no—
463C4×D4×C47—21no—
464C4×D4×C47C2311yescharacteristic
465C4×D4×C47C2311yescharacteristic
466C4×D4×C47C2311yescharacteristic
467#117×C47C2311yescharacteristic
468C2×C4⋊C4×C47C2311yescharacteristic
469C2×C22⋊C4×C47—21no—
470#107×C47C2311yescharacteristic
471#107×C47C2311yescharacteristic
472#106×C47C2311yescharacteristic
473C4⋊C8×C47C2311yescharacteristic
474#103×C47C2311yescharacteristic
475#103×C47C2311yescharacteristic
476#103×C47C2311yescharacteristic
477#102×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
486C4×C8×C47C2311yescharacteristic
487C24×C47—21no—
488C23×D47—21no—
489C23×D47—21no—
490C23×D47—21no—
491C23×D47—21no—
492C23×D47—21no—
493#41×C47—22no—
494#41×C47—41no—
495C2×Q8×C47C2411yescharacteristic
496C2×D4×C47—22no—
497C2×D4×C47—21no—
498C2×D4×C47—21no—
499C2×D4×C47—21no—
500C2×D4×C47—21no—
501C2×D4×C47—21no—
502C2×D4×C47—41no—
503C2×D4×C47C2×D411yescharacteristic
504C2×D4×C47C2411yescharacteristic
505C2×D4×C47C2411yescharacteristic
506C2×D4×C47C2411yescharacteristic
507C22×C4×C47—21no—
508C22×C4×C47—21no—
509C22×C4×C47—21no—
510C22×C4×C47—21no—
511C22×C4×C47C2411yescharacteristic
512C22×C4×C47C2411yescharacteristic
513C2×C22⋊D47—21no—
514C2×C22⋊D47—21no—
515C2×C22⋊D47—21no—
516C2×C22⋊D47—21no—
517C2×C22⋊D47—21no—
518C2×C22⋊D47—21no—
519C2×C22⋊D47—21no—
520C2×C22⋊D47—21no—
521C2×C22⋊D47—21no—
522C2×C22⋊D47—21no—
523C2×C22⋊D47—21no—
524C2×C22⋊D47—21no—
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—44no—
529C2×C22⋊D47—44no—
530C2×C22⋊D47—82no—
531C2×C22⋊D47C2×D411yescharacteristic
532C2×C22⋊D47C2×D411yescharacteristic
533C2×C22⋊D47C2×D411yescharacteristic
534C2×C22⋊D47C2×D411yescharacteristic
535C2×C22⋊D47C2×D411yescharacteristic
536C2×C22⋊D47C2×D411yescharacteristic
537C22×Dic47—21no—
538C22×Dic47—21no—
539C22×Dic47—21no—
540C22×Dic47—21no—
541C22×Dic47—21no—
542#10625354—22no—
543#10625354—22no—
544#10625354—22no—
545#10625354—41no—
546#10625352—22no—
547#10625352—22no—
548#10625352—22no—
549#10625352—41no—
550#10625352—44no—
551#10625352—82no—
552D4×D47—22no—
553D4×D47—22no—
554D4×D47—22no—
555D4×D47—22no—
556D4×D47—22no—
557D4×D47—41no—
558D4×D47—41no—
559D4×D47—44no—
560D4×D47—44no—
561D4×D47—44no—
562D4×D47—82no—
563D4×D47#4114yescomplemented
564#10625350—22no—
565#10625350—22no—
566#10625350—22no—
567#10625350—22no—
568#10625350—22no—
569#10625350—41no—
570#10625350—44no—
571#10625350—82no—
572C2×D188—22no—
573C2×D188—21no—
574C2×D188—21no—
575C2×D188—21no—
576C2×D188—21no—
577C2×D188—21no—
578C2×D188—21no—
579C2×D188—41no—
580C2×D188—44no—
581C2×D188C2×D411yescharacteristic
582C2×D188C2×D411yescharacteristic
583C2×D188C2×D411yescharacteristic
584C2×D188C2411yescharacteristic
585C2×D188C2411yescharacteristic
586C2×D188C2411yescharacteristic
587C2×C4×D47—21no—
588C2×C4×D47—21no—
589C2×C4×D47—21no—
590C2×C4×D47—21no—
591C2×C4×D47—21no—
592C2×C4×D47—21no—
593C2×C4×D47—21no—
594C2×C4×D47—21no—
595C2×C4×D47—21no—
596C2×C4×D47—21no—
597C2×C4×D47—21no—
598C2×C4×D47—82no—
599C2×C4×D47—82no—
600C2×C4×D47C2×D411yescharacteristic
601C2×C4×D47C2×D411yescharacteristic
602C2×C4×D47C2411yescharacteristic
603C2×C4×D47C2411yescharacteristic
604C2×C4×D47C2411yescharacteristic
605C2×Dic94—21no—
606C2×Dic94—21no—
607C2×Dic94C2×D411yescharacteristic
608C2×Dic94C2×D411yescharacteristic
609C2×Dic94C2411yescharacteristic
610SD16×C47—41no—
611D8×C47—22no—
612D8×C47—41no—
613M16×C47—41no—
614M16×C47—41no—
615C2×C8×C47C2411yescharacteristic
616C2×C8×C47C2411yescharacteristic
617C2×C8×C47C2411yescharacteristic
618C2×C8×C47C2411yescharacteristic
619C4⋊C4×C47—21no—
620C4⋊C4×C47—21no—
621C4⋊C4×C47—21no—
622C4⋊C4×C47—21no—
623C4⋊C4×C47C2×D411yescharacteristic
624C4⋊C4×C47C2411yescharacteristic
625C4⋊C4×C47C2411yescharacteristic
626C4⋊C4×C47C2411yescharacteristic
627C4⋊C4×C47C2411yescharacteristic
628C22⋊C4×C47—21no—
629C22⋊C4×C47—21no—
630C22⋊C4×C47—21no—
631C22⋊C4×C47—21no—
632C22⋊C4×C47—21no—
633C22⋊C4×C47—21no—
634C22⋊C4×C47—21no—
635C22⋊C4×C47—21no—
636C22⋊C4×C47—21no—
637C22⋊C4×C47C2×D411yescharacteristic
638C22⋊C4×C47C2×D411yescharacteristic
639C42×C47—21no—
640C42×C47C2411yescharacteristic
641C22⋊Dic47—21no—
642C22⋊Dic47—21no—
643C22⋊Dic47—21no—
644C22⋊Dic47—21no—
645C22⋊Dic47—21no—
646C22⋊Dic47—21no—
647C22⋊Dic47—21no—
648C22⋊Dic47C2×D411yescharacteristic
649C22⋊Dic47C2×D411yescharacteristic
650#10625336—41no—
651#10625335—41no—
652#10625334—22no—
653#10625334—22no—
654#10625334—41no—
655#10625334—41no—
656(C2×D47)⋊C4—21no—
657(C2×D47)⋊C4—21no—
658(C2×D47)⋊C4—21no—
659(C2×D47)⋊C4—21no—
660(C2×D47)⋊C4—21no—
661(C2×D47)⋊C4—21no—
662(C2×D47)⋊C4—21no—
663(C2×D47)⋊C4—21no—
664(C2×D47)⋊C4—21no—
665(C2×D47)⋊C4—21no—
666(C2×D47)⋊C4—21no—
667(C2×D47)⋊C4—21no—
668(C2×D47)⋊C4—21no—
669(C2×D47)⋊C4—21no—
670(C2×D47)⋊C4—21no—
671(C2×D47)⋊C4—21no—
672(C2×D47)⋊C4—21no—
673(C2×D47)⋊C4—21no—
674(C2×D47)⋊C4C2×D411yescharacteristic
675(C2×D47)⋊C4C2×D411yescharacteristic
676(C2×D47)⋊C4C2×D411yescharacteristic
677(C2×D47)⋊C4C2×D411yescharacteristic
678C4⋊Dic47—21no—
679C4⋊Dic47—21no—
680C4⋊Dic47C2×D411yescharacteristic
681C4⋊Dic47C2411yescharacteristic
682C4⋊Dic47C2411yescharacteristic
683C4⋊Dic47C2411yescharacteristic
684C4⋊Dic47C2411yescharacteristic
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⋊C4—21no—
696Dic47⋊C4—21no—
697Dic47⋊C4C2×D411yescharacteristic
698Dic47⋊C4C2×D411yescharacteristic
699C4×Dic47—21no—
700C4×Dic47—21no—
701C4×Dic47—21no—
702C4×Dic47—21no—
703C4×Dic47—21no—
704C4×Dic47C2×D411yescharacteristic
705C4×Dic47C2×D411yescharacteristic
706C4×Dic47C2411yescharacteristic
707C2×C47⋊C8—41no—
708C2×C47⋊C8—41no—
709C2×C47⋊C8C2411yescharacteristic
710C2×C47⋊C8C2411yescharacteristic
711C2×C47⋊C8C2411yescharacteristic
712C2×C47⋊C8C2411yescharacteristic
713D376—22no—
714D376—41no—
715#10625325—41no—
716#10625324—22no—
717#10625324—22no—
718#10625324—41no—
719#10625324—41no—
720C8×D47—22no—
721C8×D47—22no—
722C8×D47—41no—
723C8×D47—41no—
724C23×C47—21no—
725C23×C47—21no—
726C23×C47—21no—
727C23×C47—42no—
728C23×C47—81no—
729C23×C47—81no—
730C23×C47C22×D411yescharacteristic
731C23×C47C22×D411yescharacteristic
732C22×D47—21no—
733C22×D47—24no—
734C22×D47—21no—
735C22×D47—21no—
736C22×D47—42no—
737C22×D47—42no—
738C22×D47—42no—
739C22×D47—42no—
740C22×D47—81no—
741C22×D47—81no—
742C22×D47—81no—
743C22×D47—81no—
744C22×D47—81no—
745C22×D47—81no—
746C22×D47—81no—
747C22×D47—81no—
748C22×D47—81no—
749C22×D47—81no—
750C22×D47C22×D411yescharacteristic
751C22×D47C22×D411yescharacteristic
752C22×D47C22×D411yescharacteristic
753Q8×C47—21no—
754Q8×C47—21no—
755D4×C47—21no—
756D4×C47—21no—
757D4×C47—21no—
758D4×C47—21no—
759D4×C47—21no—
760D4×C47—41no—
761D4×C47—42no—
762D4×C47—42no—
763D4×C47—81no—
764D4×C47—81no—
765D4×C47—81no—
766D4×C47C2×#4112yes—
767C2×C4×C47—21no—
768C2×C4×C47—21no—
769C2×C4×C47—21no—
770C2×C4×C47—21no—
771C2×C4×C47—21no—
772C2×C4×C47—21no—
773C2×C4×C47—21no—
774C2×C4×C47—21no—
775C2×C4×C47—21no—
776C2×C4×C47—42no—
777C2×C4×C47—81no—
778C2×C4×C47—81no—
779C2×C4×C47—81no—
780C2×C4×C47C22×D411yescharacteristic
781C2×C4×C47C22×D411yescharacteristic
782C2×C4×C47C22×D411yescharacteristic
783C2×C4×C47C22×D411yescharacteristic
784C2×C4×C47C2511yescharacteristic
785C22⋊D47—22no—
786C22⋊D47—22no—
787C22⋊D47—22no—
788C22⋊D47—22no—
789C22⋊D47—24no—
790C22⋊D47—22no—
791C22⋊D47—22no—
792C22⋊D47—42no—
793C22⋊D47—42no—
794C22⋊D47—42no—
795C22⋊D47—42no—
796C22⋊D47—42no—
797C22⋊D47—42no—
798C22⋊D47—42no—
799C22⋊D47—81no—
800C22⋊D47—81no—
801C22⋊D47—81no—
802C22⋊D47—81no—
803C22⋊D47—81no—
804C22⋊D47—81no—
805C22⋊D47—81no—
806C2×Dic47—21no—
807C2×Dic47—21no—
808C2×Dic47—21no—
809C2×Dic47—21no—
810C2×Dic47—21no—
811C2×Dic47—42no—
812C2×Dic47—42no—
813C2×Dic47—42no—
814C2×Dic47—42no—
815C2×Dic47—81no—
816C2×Dic47C22×D411yescharacteristic
817C2×Dic47C22×D411yescharacteristic
818C2×Dic47C22×D411yescharacteristic
819C2×Dic47C22×D411yescharacteristic
820C2×Dic47C22×D411yescharacteristic
821D188—22no—
822D188—22no—
823D188—21no—
824D188—21no—
825D188—21no—
826D188—21no—
827D188—21no—
828D188—41no—
829D188—42no—
830D188—42no—
831D188—42no—
832D188—81no—
833D188—81no—
834D188—81no—
835D188C2×#4112yes—
836C4×D47—21no—
837C4×D47—21no—
838C4×D47—21no—
839C4×D47—21no—
840C4×D47—22no—
841C4×D47—41no—
842C4×D47—42no—
843C4×D47—42no—
844C4×D47—42no—
845C4×D47—42no—
846C4×D47—42no—
847C4×D47—81no—
848C4×D47—81no—
849C4×D47—81no—
850C4×D47—81no—
851C4×D47—81no—
852C4×D47—81no—
853C4×D47C2×#4112yes—
854C4×D47H(5,𝔽2)12yes—
855Dic94—22no—
856Dic94—22no—
857Dic94—21no—
858Dic94—21no—
859Dic94—42no—
860Dic94—81no—
861C8×C47—21no—
862C8×C47—21no—
863C8×C47—21no—
864C8×C47—21no—
865C47⋊C8—21no—
866C47⋊C8—21no—
867C47⋊C8—21no—
868C47⋊C8—21no—
869#61211—471nomaximal, Sylow
870C22×C47—21no—
871C22×C47—21no—
872C22×C47—22no—
873C22×C47—21no—
874C22×C47—21no—
875C22×C47—21no—
876C22×C47—21no—
877C22×C47—41no—
878C22×C47—41no—
879C22×C47—41no—
880C22×C47—41no—
881C22×C47—41no—
882C22×C47—41no—
883C22×C47—41no—
884C22×C47—41no—
885C22×C47—162no—
886C22×C47C23×D411yescharacteristic
887C2×D47—21no—
888C2×D47—21no—
889C2×D47—21no—
890C2×D47—21no—
891C2×D47—21no—
892C2×D47—21no—
893C2×D47—22no—
894C2×D47—21no—
895C2×D47—21no—
896C2×D47—41no—
897C2×D47—41no—
898C2×D47—41no—
899C2×D47—41no—
900C2×D47—41no—
901C2×D47—41no—
902C2×D47—41no—
903C2×D47—41no—
904C2×D47—84no—
905C2×D47—84no—
906C2×D47—162no—
907C2×D47—162no—
908C2×D47—162no—
909C2×D47#54612yes—
910C4×C47—21no—
911C4×C47—21no—
912C4×C47—21no—
913C4×C47—21no—
914C4×C47—41no—
915C4×C47—41no—
916C4×C47—41no—
917C4×C47—41no—
918C4×C47—41no—
919C4×C47C22×#4111yescharacteristic
920C4×C47C2×H(5,𝔽2)11yescharacteristic
921Dic47—21no—
922Dic47—21no—
923Dic47—21no—
924Dic47—41no—
925Dic47—41no—
926Dic47—41no—
927Dic47—41no—
928Dic47—41no—
929Dic47#54612yes—
930Dic47#57612yes—
931#3506—471no—
932#3496—471no—
933#3330—471no—
934#3330—471no—
935#3325—471no—
936#3325—471no—
937#3322—471no—
938#3322—471no—
939#3322—471no—
940#3322D4711yescharacteristic, complemented
941#3303—471no—
942#3303—471no—
943#3297—471no—
944#3297—471no—
945#3297—471no—
946#3297—471no—
947#3294—471no—
948#3294—471no—
949#3131—471no—
950#3098—471no—
951#3098—471no—
952#3077—471no—
953#3062—471no—
954#3062—471no—
955#3036—471no—
956#3008—471no—
957#3008—471no—
958C2×C4×D8—471no—
959#2931—471no—
960#2897—471no—
961#2897—471no—
962C2×C47—42no—
963C2×C47—41no—
964C2×C47—41no—
965C2×C47—81no—
966C2×C47—81no—
967C2×C47C2×#54611yescharacteristic
968C2×C47C2×#57611yescharacteristic
969C2×C47#358411yescharacteristic
970D47—22no—
971D47—41no—
972D47—41no—
973D47—42no—
974D47—81no—
975D47—81no—
976C2×H(5,𝔽2)—471no—
977C2×H(5,𝔽2)—471no—
978C2×AGL(1,ℤ/8)—471no—
979C2×AGL(1,ℤ/8)—471no—
980C22×D8—471no—
981C2×#131—471no—
982C2×#131—471no—
983#559—941no—
984#559—941no—
985#556—941no—
986#555—471no—
987#555—471no—
988#553—471no—
989#553—471no—
990#553—471no—
991#553C2×D4711yescharacteristic, complemented
992#550—941no—
993#547—471no—
994#547—471no—
995#547—471no—
996#547—471no—
997#547—941no—
998#546—471no—
999#546—471no—
1000#546—471no—
1001#546—941no—
1002#546—941no—
1003#546C2×D4711yescharacteristic, complemented
1004D42—471no—
1005D42—471no—
1006D42—941no—
1007#538—941no—
1008#538—941no—
1009#537—471no—
1010#537—471no—
1011#535—471no—
1012#535—471no—
1013#534—941no—
1014#534—941no—
1015#533—471no—
1016#532—471no—
1017#532—471no—
1018#525—941no—
1019#525—941no—
1020C2×#121—941no—
1021C2×#121—941no—
1022#520—471no—
1023#520—471no—
1024C2×C4×D4—471no—
1025C2×C4×D4—471no—
1026#488—471no—
1027#488—471no—
1028#488—471no—
1029#488C2×D4711yescharacteristic, complemented
1030#487—471no—
1031#487—471no—
1032#486—471no—
1033#486—471no—
1034#485—471no—
1035#485—471no—
1036#485—471no—
1037#485C2×D4711yescharacteristic, complemented
1038#484—471no—
1039#484—471no—
1040#484—471no—
1041#484—471no—
1042#482—471no—
1043#482—471no—
1044#482—471no—
1045#482—471no—
1046#480—471no—
1047#480—471no—
1048#480—471no—
1049#480C2×D4711yescharacteristic, complemented
1050#478—471no—
1051#478—471no—
1052#478—471no—
1053#478C2×D4711yescharacteristic, complemented
1054#476—471no—
1055#476—471no—
1056#474—471no—
1057#474—471no—
1058#469—471no—
1059#469—471no—
1060#469—471no—
1061#469C2×D4711yescharacteristic, complemented
1062#468—471no—
1063#468—471no—
1064#468—471no—
1065#468C2×D4711yescharacteristic, complemented
1066#466—471no—
1067#466—471no—
1068#466—471no—
1069#466—471no—
1070#465—471no—
1071#465—471no—
1072#465—471no—
1073#465—471no—
1074#463—471no—
1075#463—471no—
1076#463—471no—
1077#463C2×D4711yescharacteristic, complemented
1078#461—471no—
1079#461—471no—
1080#459—471no—
1081#459—471no—
1082#449—471no—
1083#449—471no—
1084#449—471no—
1085#449—471no—
1086#449—471no—
1087#449—471no—
1088#449—471no—
1089#449C2×D4711yescharacteristic, complemented
1090#447—471no—
1091#447—471no—
1092#447—471no—
1093#447—471no—
1094#447—471no—
1095#447—471no—
1096#447—471no—
1097#447C2×D4711yescharacteristic, complemented
1098C4×D8—471no—
1099C4×D8—471no—
1100C4×D8—471no—
1101C4×D8—471no—
1102C4×D8—471no—
1103C4×D8—471no—
1104C4×D8—471no—
1105C4×D8C2×D4711yescharacteristic, complemented
1106#436—471no—
1107#436—471no—
1108#436—471no—
1109#436C2×D4711yescharacteristic, complemented
1110C8×D4—471no—
1111C8×D4—471no—
1112C8×D4—471no—
1113C8×D4—471no—
1114#428—471no—
1115#428—471no—
1116C2×#107—471no—
1117#423—471no—
1118#418—471no—
1119#418—471no—
1120#418—471no—
1121#418—471no—
1122#418—471no—
1123#418C2×D4711yescharacteristic, complemented
1124#417—471no—
1125#417—471no—
1126#417—471no—
1127#417—471no—
1128#417—471no—
1129#417C2×D4711yescharacteristic, complemented
1130#416—471no—
1131#416—471no—
1132#416—471no—
1133#416—471no—
1134#416—471no—
1135#416—471no—
1136#416—471no—
1137#416—471no—
1138C2×#102—471no—
1139C2×#102—471no—
1140C2×#102—471no—
1141C2×#102—471no—
1142C2×#102—471no—
1143C2×#102—471no—
1144#408—471no—
1145#408—471no—
1146C2×C4×C8—471no—
1147C47#6121111yescharacteristic, complemented, Sylow
1148H(5,𝔽2)—944no—
1149H(5,𝔽2)—944no—
1150H(5,𝔽2)—1882no—
1151H(5,𝔽2)—1882no—
1152C2×#41—471no—
1153C2×#41—471no—
1154C2×#41—471no—
1155C2×#41—471no—
1156C2×#41—471no—
1157C2×#41—471no—
1158C2×#41—471no—
1159C2×#41—941no—
1160C2×#41—941no—
1161C2×#41—941no—
1162C2×#41—941no—
1163C2×#41C22×D4711yescharacteristic
1164C22×D4—471no—
1165C22×D4—471no—
1166C22×D4—471no—
1167C22×D4—471no—
1168C22×D4—471no—
1169C22×D4—941no—
1170C22×D4—941no—
1171C22×D4—941no—
1172C22×D4—941no—
1173C22×D4—941no—
1174C22×D4—941no—
1175C22×D4—941no—
1176C22×D4—941no—
1177C22×D4C22×D4711yescharacteristic
1178C23×C4—941no—
1179C23×C4—941no—
1180AGL(1,ℤ/8)—1882no—
1181AGL(1,ℤ/8)—1882no—
1182C2×SD16—471no—
1183C2×SD16—471no—
1184C2×SD16—471no—
1185C2×SD16C22×D4711yescharacteristic
1186C2×D8—471no—
1187C2×D8—471no—
1188C2×D8—471no—
1189C2×D8—471no—
1190C2×D8—471no—
1191C2×D8—471no—
1192C2×D8—944no—
1193C2×D8C22×D4711yescharacteristic
1194C2×D8C22×D4711yescharacteristic
1195#131—1882no—
1196#131—1882no—
1197C2×M16—471no—
1198C2×M16—471no—
1199C2×M16—471no—
1200C2×M16—471no—
1201C2×M16C22×D4711yescharacteristic
1202C2×M16C22×D4711yescharacteristic
1203C22×C8—471no—
1204C22×C8—471no—
1205C22×C8—471no—
1206C22×C8—471no—
1207C22×C8—471no—
1208C22×C8—471no—
1209C4⋊Q8—471no—
1210C4⋊Q8—471no—
1211C4⋊Q8—471no—
1212C4⋊Q8—471no—
1213#127—471no—
1214#127—471no—
1215#127—941no—
1216#127—941no—
1217#126—21no—
1218#126—941no—
1219#126—941no—
1220#126—941no—
1221#125—471no—
1222#125C22×D4711yescharacteristic
1223#124—471no—
1224#124—471no—
1225#124—471no—
1226#124—941no—
1227#124—941no—
1228#124—941no—
1229#124—941no—
1230#124—941no—
1231#124—941no—
1232#124C22×D4711yescharacteristic
1233#123—21no—
1234#123—21no—
1235#123—941no—
1236#123—941no—
1237#123—941no—
1238#123—941no—
1239#123—941no—
1240#123—941no—
1241#123—941no—
1242#123—941no—
1243#123—941no—
1244#123—941no—
1245#123—941no—
1246#123—941no—
1247#123—941no—
1248#123—941no—
1249C22⋊Q8—471no—
1250C22⋊Q8—471no—
1251C22⋊Q8—471no—
1252C22⋊Q8—941no—
1253C22⋊Q8—941no—
1254C22⋊Q8—941no—
1255C22⋊Q8—941no—
1256C22⋊Q8—941no—
1257C22⋊Q8—941no—
1258C22⋊Q8C22×D4711yescharacteristic
1259#121—21no—
1260#121—21no—
1261#121—471no—
1262#121—471no—
1263#121—471no—
1264#121—471no—
1265#121—471no—
1266#121—471no—
1267#121—471no—
1268#121—471no—
1269#121—471no—
1270#121—471no—
1271#121—471no—
1272#121—471no—
1273#121—471no—
1274#121—941no—
1275#121—941no—
1276#121—941no—
1277#121—941no—
1278#121—941no—
1279#121—941no—
1280#121—941no—
1281#121—941no—
1282#121—941no—
1283#121—941no—
1284#121—941no—
1285#121—941no—
1286#121—941no—
1287#121—941no—
1288#121—941no—
1289#121—941no—
1290#121—941no—
1291#121—941no—
1292#121—941no—
1293#121—941no—
1294#121C22×D4711yescharacteristic
1295#121C22×D4711yescharacteristic
1296#121C22×D4711yescharacteristic
1297#120—21no—
1298#120—941no—
1299#120—941no—
1300#120—941no—
1301#120—941no—
1302#120—941no—
1303#120—941no—
1304#120—941no—
1305#120—941no—
1306#120—941no—
1307#120—941no—
1308#120—941no—
1309C4×Q8—941no—
1310C4×Q8—941no—
1311C4×Q8—941no—
1312C4×Q8—941no—
1313C4×D4—21no—
1314C4×D4—471no—
1315C4×D4—471no—
1316C4×D4—471no—
1317C4×D4—471no—
1318C4×D4—471no—
1319C4×D4—471no—
1320C4×D4—471no—
1321C4×D4—471no—
1322C4×D4—471no—
1323C4×D4—941no—
1324C4×D4—941no—
1325C4×D4—941no—
1326C4×D4—941no—
1327C4×D4—941no—
1328C4×D4—941no—
1329C4×D4—941no—
1330C4×D4—941no—
1331C4×D4—941no—
1332C4×D4—941no—
1333C4×D4—941no—
1334C4×D4—941no—
1335C4×D4—941no—
1336C4×D4—941no—
1337C4×D4—941no—
1338C4×D4C22×D4711yescharacteristic
1339C4×D4C22×D4711yescharacteristic
1340C4×D4C22×D4711yescharacteristic
1341#117—471no—
1342#117—471no—
1343#117—471no—
1344#117—471no—
1345#117—471no—
1346#117—941no—
1347#117—941no—
1348#117C22×D4711yescharacteristic
1349C2×C4⋊C4—471no—
1350C2×C4⋊C4—471no—
1351C2×C4⋊C4—471no—
1352C2×C4⋊C4—471no—
1353C2×C4⋊C4—471no—
1354C2×C4⋊C4—941no—
1355C2×C4⋊C4—941no—
1356C2×C4⋊C4C22×D4711yescharacteristic
1357C2×C22⋊C4—21no—
1358C2×C22⋊C4—941no—
1359C2×C22⋊C4—941no—
1360C2×C22⋊C4—941no—
1361C2×C22⋊C4—941no—
1362C2×C22⋊C4—941no—
1363C2×C42—471no—
1364#107—471no—
1365#107—471no—
1366#107—471no—
1367#107—471no—
1368#107—471no—
1369#107—471no—
1370#107C22×D4711yescharacteristic
1371#107C22×D4711yescharacteristic
1372#106—471no—
1373#106—471no—
1374#106—471no—
1375#106C22×D4711yescharacteristic
1376C4⋊C8—471no—
1377C4⋊C8—471no—
1378C4⋊C8—471no—
1379C4⋊C8C22×D4711yescharacteristic
1380#103—471no—
1381#103—471no—
1382#103—471no—
1383#103—471no—
1384#103—471no—
1385#103—471no—
1386#103—471no—
1387#103—471no—
1388#103—471no—
1389#103C22×D4711yescharacteristic
1390#103C22×D4711yescharacteristic
1391#103C22×D4711yescharacteristic
1392#102—471no—
1393#102—471no—
1394#102—471no—
1395#102—471no—
1396#102—471no—
1397#102—471no—
1398#102—471no—
1399#102—471no—
1400#102—471no—
1401#102—471no—
1402#102—471no—
1403#102—471no—
1404#102—471no—
1405#102—471no—
1406#102—471no—
1407#102—471no—
1408#102—471no—
1409#102—471no—
1410#102—471no—
1411#102—471no—
1412#102—471no—
1413#102C22×D4711yescharacteristic
1414#102C22×D4711yescharacteristic
1415#102C22×D4711yescharacteristic
1416#102C22×D4711yescharacteristic
1417#102C22×D4711yescharacteristic
1418#102C22×D4711yescharacteristic
1419#102C22×D4711yescharacteristic
1420C22⋊C8—471no—
1421C22⋊C8—471no—
1422C22⋊C8—471no—
1423C22⋊C8—471no—
1424C22⋊C8—471no—
1425C22⋊C8—471no—
1426C22⋊C8C22×D4711yescharacteristic
1427C22⋊C8C22×D4711yescharacteristic
1428C4×C8—471no—
1429C4×C8—471no—
1430C4×C8—471no—
1431C4×C8C22×D4711yescharacteristic
1432C24—21no—
1433C24—941no—
1434C24—941no—
1435C24—941no—
1436C24—941no—
1437C24—941no—
1438#41—22no—
1439#41—41no—
1440#41—942no—
1441#41—942no—
1442#41—942no—
1443#41—942no—
1444#41—942no—
1445#41—942no—
1446#41—942no—
1447#41—942no—
1448#41—942no—
1449#41—942no—
1450#41—942no—
1451#41—3762no—
1452#41—3762no—
1453#41—1881no—
1454#41—1884no—
1455#41—1881no—
1456#41—1881no—
1457#41—1884no—
1458C2×Q8—471no—
1459C2×Q8—471no—
1460C2×Q8—471no—
1461C2×Q8—941no—
1462C2×Q8—941no—
1463C2×Q8C23×D4711yescharacteristic
1464C2×D4—22no—
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—41no—
1471C2×D4—474no—
1472C2×D4—471no—
1473C2×D4—471no—
1474C2×D4—471no—
1475C2×D4—471no—
1476C2×D4—471no—
1477C2×D4—471no—
1478C2×D4—471no—
1479C2×D4—471no—
1480C2×D4—471no—
1481C2×D4—471no—
1482C2×D4—471no—
1483C2×D4—471no—
1484C2×D4—942no—
1485C2×D4—941no—
1486C2×D4—941no—
1487C2×D4—941no—
1488C2×D4—941no—
1489C2×D4—941no—
1490C2×D4—942no—
1491C2×D4—942no—
1492C2×D4—942no—
1493C2×D4—941no—
1494C2×D4—941no—
1495C2×D4—941no—
1496C2×D4—941no—
1497C2×D4—941no—
1498C2×D4—941no—
1499C2×D4—942no—
1500C2×D4—942no—
1501C2×D4—941no—
1502C2×D4—941no—
1503C2×D4—941no—
1504C2×D4—941no—
1505C2×D4—941no—
1506C2×D4—941no—
1507C2×D4—941no—
1508C2×D4—941no—
1509C2×D4—941no—
1510C2×D4—941no—
1511C2×D4—3762no—
1512C2×D4—3762no—
1513C2×D4—1881no—
1514C2×D4—1884no—
1515C2×D4—1881no—
1516C2×D4—1881no—
1517C2×D4—1884no—
1518C2×D4—1884no—
1519C2×D4—1884no—
1520C2×D4—1884no—
1521C2×D4—1884no—
1522C2×D4D4×D4711yescharacteristic
1523C2×D4C23×D4711yescharacteristic
1524C2×D4C23×D4711yescharacteristic
1525C2×D4C23×D4711yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—471no—
1531C22×C4—471no—
1532C22×C4—471no—
1533C22×C4—471no—
1534C22×C4—471no—
1535C22×C4—941no—
1536C22×C4—941no—
1537C22×C4—941no—
1538C22×C4—941no—
1539C22×C4—941no—
1540C22×C4—941no—
1541C22×C4—941no—
1542C22×C4—941no—
1543C22×C4—941no—
1544C22×C4—941no—
1545C22×C4—941no—
1546C22×C4—941no—
1547C22×C4—941no—
1548C22×C4—941no—
1549C22×C4—941no—
1550C22×C4—941no—
1551C22×C4—3762no—
1552C22×C4—3762no—
1553C22×C4C23×D4711yescharacteristic
1554C22×C4C23×D4711yescharacteristic
1555SD16—41no—
1556SD16—1881no—
1557SD16—1881no—
1558SD16—1881no—
1559D8—22no—
1560D8—41no—
1561D8—942no—
1562D8—942no—
1563D8—942no—
1564D8—1881no—
1565D8—1881no—
1566D8—1881no—
1567M16—41no—
1568M16—41no—
1569M16—942no—
1570M16—942no—
1571M16—1881no—
1572M16—1881no—
1573C2×C8—471no—
1574C2×C8—471no—
1575C2×C8—471no—
1576C2×C8—471no—
1577C2×C8—942no—
1578C2×C8—942no—
1579C2×C8—1881no—
1580C2×C8—1881no—
1581C2×C8—1881no—
1582C2×C8—1881no—
1583C2×C8C23×D4711yescharacteristic
1584C2×C8C23×D4711yescharacteristic
1585C2×C8C23×D4711yescharacteristic
1586C2×C8C23×D4711yescharacteristic
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—471no—
1592C4⋊C4—471no—
1593C4⋊C4—471no—
1594C4⋊C4—471no—
1595C4⋊C4—471no—
1596C4⋊C4—471no—
1597C4⋊C4—471no—
1598C4⋊C4—941no—
1599C4⋊C4—941no—
1600C4⋊C4—941no—
1601C4⋊C4—941no—
1602C4⋊C4—941no—
1603C4⋊C4—941no—
1604C4⋊C4—941no—
1605C4⋊C4—941no—
1606C4⋊C4—941no—
1607C4⋊C4—941no—
1608C4⋊C4—941no—
1609C4⋊C4—941no—
1610C4⋊C4—941no—
1611C4⋊C4—941no—
1612C4⋊C4D4×D4711yescharacteristic
1613C4⋊C4C23×D4711yescharacteristic
1614C4⋊C4C23×D4711yescharacteristic
1615C4⋊C4C23×D4711yescharacteristic
1616C4⋊C4C23×D4711yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—471no—
1627C22⋊C4—471no—
1628C22⋊C4—471no—
1629C22⋊C4—471no—
1630C22⋊C4—471no—
1631C22⋊C4—471no—
1632C22⋊C4—941no—
1633C22⋊C4—941no—
1634C22⋊C4—941no—
1635C22⋊C4—941no—
1636C22⋊C4—941no—
1637C22⋊C4—941no—
1638C22⋊C4—941no—
1639C22⋊C4—941no—
1640C22⋊C4—941no—
1641C22⋊C4—941no—
1642C22⋊C4—941no—
1643C22⋊C4—941no—
1644C22⋊C4—941no—
1645C22⋊C4—941no—
1646C22⋊C4—941no—
1647C22⋊C4—941no—
1648C22⋊C4—941no—
1649C22⋊C4—941no—
1650C22⋊C4—941no—
1651C22⋊C4—941no—
1652C22⋊C4—941no—
1653C22⋊C4—941no—
1654C22⋊C4—941no—
1655C22⋊C4—941no—
1656C22⋊C4—941no—
1657C22⋊C4D4×D4711yescharacteristic
1658C22⋊C4D4×D4711yescharacteristic
1659C42—21no—
1660C42—471no—
1661C42—471no—
1662C42—471no—
1663C42—941no—
1664C42—941no—
1665C42—941no—
1666C42—941no—
1667C42—941no—
1668C42C23×D4711yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—42no—
1673C23—81no—
1674C23—81no—
1675C23—471no—
1676C23—471no—
1677C23—471no—
1678C23—944no—
1679C23—941no—
1680C23—941no—
1681C23—941no—
1682C23—3761no—
1683C23—3761no—
1684C23—3761no—
1685C23—3761no—
1686C23—3761no—
1687C23—3761no—
1688C23—3761no—
1689C23—3761no—
1690C23—3761no—
1691C23—3761no—
1692C23—1882no—
1693C23—1882no—
1694C23—1882no—
1695C23—1882no—
1696C23C2×D4×D4711yescharacteristic
1697C23C2×D4×D4711yescharacteristic
1698Q8—21no—
1699Q8—21no—
1700Q8—942no—
1701Q8—942no—
1702Q8—941no—
1703Q8—941no—
1704Q8—3761no—
1705Q8—1882no—
1706D4—21no—
1707D4—21no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—41no—
1712D4—42no—
1713D4—42no—
1714D4—81no—
1715D4—81no—
1716D4—81no—
1717D4—472no—
1718D4—942no—
1719D4—942no—
1720D4—944no—
1721D4—942no—
1722D4—942no—
1723D4—942no—
1724D4—942no—
1725D4—942no—
1726D4—942no—
1727D4—941no—
1728D4—941no—
1729D4—941no—
1730D4—941no—
1731D4—941no—
1732D4—3761no—
1733D4—3761no—
1734D4—3761no—
1735D4—3761no—
1736D4—3761no—
1737D4—3761no—
1738D4—3761no—
1739D4—3761no—
1740D4—3761no—
1741D4—3761no—
1742D4—1881no—
1743D4—1882no—
1744D4—1882no—
1745D4—1882no—
1746D4—1882no—
1747D4—1882no—
1748D4—1882no—
1749D4—1882no—
1750D4—1882no—
1751D4—1882no—
1752D4—1882no—
1753D4#41×D4712yes—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—42no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—81no—
1767C2×C4—471no—
1768C2×C4—471no—
1769C2×C4—472no—
1770C2×C4—472no—
1771C2×C4—471no—
1772C2×C4—471no—
1773C2×C4—471no—
1774C2×C4—942no—
1775C2×C4—941no—
1776C2×C4—941no—
1777C2×C4—941no—
1778C2×C4—941no—
1779C2×C4—941no—
1780C2×C4—941no—
1781C2×C4—941no—
1782C2×C4—941no—
1783C2×C4—941no—
1784C2×C4—3761no—
1785C2×C4—3761no—
1786C2×C4—3761no—
1787C2×C4—3761no—
1788C2×C4—3761no—
1789C2×C4—3761no—
1790C2×C4—3761no—
1791C2×C4—1881no—
1792C2×C4—1882no—
1793C2×C4—1882no—
1794C2×C4—1882no—
1795C2×C4—1882no—
1796C2×C4—1882no—
1797C2×C4—1882no—
1798C2×C4—1882no—
1799C2×C4—1882no—
1800C2×C4—1882no—
1801C2×C4C2×D4×D4711yescharacteristic
1802C2×C4C2×D4×D4711yescharacteristic
1803C2×C4C2×D4×D4711yescharacteristic
1804C2×C4C2×D4×D4711yescharacteristic
1805C2×C4C24×D4711yescharacteristic
1806C8—21no—
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—941no—
1811C8—941no—
1812C8—941no—
1813C8—941no—
1814C22—21no—
1815C22—21no—
1816C22—22no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—162no—
1830C22—472no—
1831C22—941no—
1832C22—941no—
1833C22—941no—
1834C22—941no—
1835C22—942no—
1836C22—941no—
1837C22—941no—
1838C22—941no—
1839C22—941no—
1840C22—3764no—
1841C22—3764no—
1842C22—1881no—
1843C22—1881no—
1844C22—1881no—
1845C22—1881no—
1846C22—1881no—
1847C22—1881no—
1848C22—1881no—
1849C22—1881no—
1850C22—7522no—
1851C22—7522no—
1852C22—7522no—
1853C22C22×D4×D4711yescharacteristic
1854C4—21no—
1855C4—21no—
1856C4—21no—
1857C4—21no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—472no—
1864C4—472no—
1865C4—941no—
1866C4—941no—
1867C4—941no—
1868C4—1881no—
1869C4—1881no—
1870C4—1881no—
1871C4—1881no—
1872C4—1881no—
1873C4C2×#41×D4711yescharacteristic
1874C4H(5,𝔽2)×D4711yescharacteristic
1875C2—41no—
1876C2—41no—
1877C2—42no—
1878C2—81no—
1879C2—81no—
1880C2—942no—
1881C2—3761no—
1882C2—3761no—
1883C2—1881no—
1884C2—1881no—
1885C2—1882no—
1886C2#546×D4711yescharacteristic
1887C2#576×D4711yescharacteristic
1888C2#2025816111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3322C2
socleC22×C47C23×D4
hypercenter#3322D47
hypocenterC47#61211
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #20257234C2semidirect
2. #20257148C2semidirect
3. #20255689C2semidirect
4. #20255688C2semidirect
5. #20255626C2semidirect
6. #20255625C2semidirect
7. #20255594C2semidirect
8. #20255591C2semidirect
9. #20255588C2semidirect
10. #20255314C2semidirect
11. #20255309C2semidirect
12. #20255245C2semidirect
13. #20255238C2semidirect
14. #20255235C2semidirect
15. #20255232C2semidirect
16. #20255199C2semidirect
17. #20255194C2semidirect
18. #20253709C2semidirect
19. #20253369C2semidirect
20. #20253361C2semidirect
21. #20253183C2semidirect
22. #20253065C2semidirect
23. #20253063C2semidirect
24. #20252850C2semidirect
25. #20252653C2semidirect
26. #20252651C2semidirect
27. C4×D8×D47C2semidirect
28. #20252097C2semidirect
29. #20251913C2semidirect
30. #20251912C2semidirect
31. C47×#3322C2semidirect
34. C2×#13094051C22semidirect
35. C2×#13094048C22semidirect
37. C2×#13094032C22semidirect
38. C2×#13094032C22semidirect
42. #15689837C22semidirect
43. #15689836C22semidirect
44. #15689826C22semidirect
45. #15689823C22semidirect
46. #15689819C22semidirect
48. #15689775C22semidirect
49. #15689774C22semidirect
50. #15689773C22semidirect
51. #15689772C22semidirect
53. #15689769C22semidirect
54. #15689768C22semidirect
55. #15689766C22semidirect
58. #15689757C22semidirect
59. D4×C22⋊D47C22semidirect
65. #15689689C22semidirect
66. #15689689C22semidirect
69. #15689679C22semidirect
76. #15689604C22semidirect
77. #15689603C22semidirect
79. C4×D4×D47C22semidirect
80. #15689480C22semidirect
81. #15689478C22semidirect
82. #15689477C22semidirect
83. #15689472C22semidirect
84. #15689472C22semidirect
85. #15689468C22semidirect
86. #15689468C22semidirect
87. #15689466C22semidirect
88. #15689465C22semidirect
89. #15689463C22semidirect
90. #15689460C22semidirect
91. #15689458C22semidirect
92. #15689457C22semidirect
93. #15689456C22semidirect
94. #15689449C22semidirect
95. #15689447C22semidirect
96. #15689446C22semidirect
97. #15689444C22semidirect
98. #15689438C22semidirect
99. #15689437C22semidirect
100. #15689435C22semidirect
101. #15689424C22semidirect
102. #15689423C22semidirect
103. #15689420C22semidirect
104. #15689412C22semidirect
105. #15689411C22semidirect
106. #15689402C22semidirect
107. #15689401C22semidirect
108. #15689376C22semidirect
109. #15689375C22semidirect
110. #15689375C22semidirect
111. #15689372C22semidirect
112. #15689369C22semidirect
113. #15689368C22semidirect
114. #15689360C22semidirect
115. #15689357C22semidirect
116. #15689357C22semidirect
117. #15689356C22semidirect
118. #15689354C22semidirect
119. #15689353C22semidirect
120. #15689350C22semidirect
121. #15689349C22semidirect
122. #15689339C22semidirect
123. #15689338C22semidirect
124. #15689335C22semidirect
125. #15689327C22semidirect
126. #15689326C22semidirect
127. #15689317C22semidirect
128. #15689316C22semidirect
129. #15689271C22semidirect
130. #15689270C22semidirect
131. #15689269C22semidirect
132. #15689268C22semidirect
133. #15689267C22semidirect
134. #15689266C22semidirect
135. #15689265C22semidirect
136. #15689259C22semidirect
137. #15689258C22semidirect
138. #15689258C22semidirect
139. #15689257C22semidirect
140. #15689256C22semidirect
141. #15689255C22semidirect
142. #15689255C22semidirect
143. C4×D376C22semidirect
144. D8×Dic47C22semidirect
145. #15689205C22semidirect
146. C4×#10625334C22semidirect
147. C4×#10625334C22semidirect
148. #15689203C22semidirect
149. #15689203C22semidirect
150. #15689202C22semidirect
151. #15689199C22semidirect
152. #15689199C22semidirect
153. D4×C47⋊C8C22semidirect
154. #15689188C22semidirect
155. (C22⋊D47)⋊C8C22semidirect
156. (C22⋊D47)⋊C8C22semidirect
157. #15689164C22semidirect
158. #15689162C22semidirect
159. #107×D47C22semidirect
160. #15689145C22semidirect
161. #15689129C22semidirect
164. #15689126C22semidirect
165. #15689126C22semidirect
166. #15689125C22semidirect
167. #15689123C22semidirect
168. #15689123C22semidirect
169. #15689121C22semidirect
170. #15689121C22semidirect
171. #15689119C22semidirect
172. #15689118C22semidirect
173. #15689118C22semidirect
174. #15689118C22semidirect
175. #15689117C22semidirect
176. #15689116C22semidirect
177. #15689116C22semidirect
178. #15689116C22semidirect
179. C2×#13093945C22semidirect
180. C2×#13093944C22semidirect
182. #102×D47C22semidirect
183. #102×D47C22semidirect
184. #102×D47C22semidirect
185. #15689088C22semidirect
186. #15689088C22semidirect
187. C4×C8×D47C22semidirect
188. C47×#553C22semidirect
189. C47×#546C22semidirect
190. C47×#488C22semidirect
191. C47×#485C22semidirect
192. C47×#480C22semidirect
193. C47×#478C22semidirect
194. C47×#469C22semidirect
195. C47×#468C22semidirect
196. C47×#463C22semidirect
197. C47×#449C22semidirect
198. C47×#447C22semidirect
199. C4×D8×C47C22semidirect
200. C47×#436C22semidirect
201. C47×#418C22semidirect
202. C47×#417C22semidirect
563. D4×D47#41semidirect
940. #3322D47semidirect
991. #553C2×D47semidirect
1003. #546C2×D47semidirect
1029. #488C2×D47semidirect
1037. #485C2×D47semidirect
1049. #480C2×D47semidirect
1053. #478C2×D47semidirect
1061. #469C2×D47semidirect
1065. #468C2×D47semidirect
1077. #463C2×D47semidirect
1089. #449C2×D47semidirect
1097. #447C2×D47semidirect
1105. C4×D8C2×D47semidirect
1109. #436C2×D47semidirect
1123. #418C2×D47semidirect
1129. #417C2×D47semidirect
1147. C47#61211semidirect

Maximal subgroups

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

subgroupindex
#202572342
#202571482
#202556892
#202556882
#202556262
#202556252
#202555942
#202555912
#202555882
#202553142
#202553092
#202552452
#202552382
#202552352
#202552322
#202551992
#202551942
#202537092
#202533692
#202533612
#202531832
#202530652
#202530632
#202528502
#202526532
#202526512
C4×D8×D472
#202520972
#202519132
#202519122
C47×#33222
#6121147