Finite Group Databasebeta

← #27101758

Subgroups — #27101758

Order 12032.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257222C211yesmaximal, characteristic, complemented
2#41×C22⋊D47C211yesmaximal, characteristic, complemented
3#20255657C211yesmaximal, characteristic, complemented
4#20255605C211yesmaximal, characteristic, complemented
5#20255563C211yesmaximal, characteristic, complemented
6#20255533C211yesmaximal, characteristic, complemented
7#20255515C211yesmaximal, characteristic, complemented
8#20255485C211yesmaximal, characteristic, complemented
9#20255294C211yesmaximal, characteristic, complemented
10#20255242C211yesmaximal, characteristic, complemented
11#20255122C211yesmaximal, characteristic, complemented
12#20255099C211yesmaximal, characteristic, complemented
13#20255019C211yesmaximal, characteristic, complemented
14#20254993C211yesmaximal, characteristic, complemented
15#20254951C211yesmaximal, characteristic, complemented
16#20254922C211yesmaximal, characteristic, complemented
17#20254907C211yesmaximal, characteristic, complemented
18#20254887C211yesmaximal, characteristic, complemented
19#20254423C211yesmaximal, characteristic, complemented
20#20254361C211yesmaximal, characteristic, complemented
21#20254227C211yesmaximal, characteristic, complemented
22#20254220C211yesmaximal, characteristic, complemented
23#20254178C211yesmaximal, characteristic, complemented
24#20254153C211yesmaximal, characteristic, complemented
25#20253490C211yesmaximal, characteristic, complemented
26#20253399C211yesmaximal, characteristic, complemented
27#20252626C211yesmaximal, characteristic, complemented
28#20252603C211yesmaximal, characteristic, complemented
29C2×#15689285C211yesmaximal, characteristic, complemented
30#20252424C211yesmaximal, characteristic, complemented
31C47×#3006C211yesmaximal, characteristic, complemented
32C2×#41×D47C2211yescharacteristic, complemented
33C2×#13094053C2211yescharacteristic, complemented
34C2×#13094048C2211yescharacteristic, complemented
35C2×#13094045C2211yescharacteristic, complemented
36C2×#13094043C2211yescharacteristic, complemented
37C22×#10625337C2211yescharacteristic, complemented
38C22×#10625335C2211yescharacteristic, complemented
39#15689825C2211yescharacteristic
40#15689825C2211yescharacteristic, complemented
41#15689816—21no—
42#15689816—21no—
43#15689808C2211yescharacteristic, complemented
44#15689808C2211yescharacteristic, complemented
45#15689799—21no—
46#15689799—21no—
47#15689792C2211yescharacteristic
48Q8×C22⋊D47C2211yescharacteristic, complemented
49#15689784C2211yescharacteristic, complemented
50#15689780C2211yescharacteristic
51#15689779C2211yescharacteristic
52#15689779C2211yescharacteristic, complemented
53#15689772—21no—
54#15689772C2211yescharacteristic
55#15689767—21no—
56#15689767C2211yescharacteristic, complemented
57#15689767C2211yescharacteristic, complemented
58#15689767C2211yescharacteristic, complemented
59#15689761—21no—
60#15689761C2211yescharacteristic
61D4×C22⋊D47—21no—
62D4×C22⋊D47C2211yescharacteristic, complemented
63#15689718—21no—
64#15689710—21no—
65#15689682—21no—
66#15689669—21no—
67#15689669C2211yescharacteristic, complemented
68#15689654C2211yescharacteristic, complemented
69#15689654C2211yescharacteristic, complemented
70#15689634—21no—
71#15689634C2211yescharacteristic
72#15689633C2211yescharacteristic, complemented
73#15689633C2211yescharacteristic, complemented
74#15689630—21no—
75#15689630C2211yescharacteristic, complemented
76C2×#13094003C2211yescharacteristic, complemented
77#15689598—21no—
78#41×Dic47C2211yescharacteristic, complemented
79C2×C4×C22⋊D47—21no—
80C2×C4×C22⋊D47C2211yescharacteristic
81#15689514C2211yescharacteristic, complemented
82#15689511C2211yescharacteristic, complemented
83#15689506C2211yescharacteristic, complemented
84#15689504C2211yescharacteristic, complemented
85#15689490C2211yescharacteristic, complemented
86#15689486C2211yescharacteristic, complemented
87#15689479C2211yescharacteristic, complemented
88#15689476C2211yescharacteristic, complemented
89#15689465C2211yescharacteristic, complemented
90#15689465C2211yescharacteristic, complemented
91#15689463C2211yescharacteristic, complemented
92#15689462C2211yescharacteristic, complemented
93#15689459C2211yescharacteristic, complemented
94#15689458C2211yescharacteristic, complemented
95#15689446C2211yescharacteristic, complemented
96#15689445C2211yescharacteristic, complemented
97#15689444C2211yescharacteristic, complemented
98#15689444C2211yescharacteristic, complemented
99#15689442C2211yescharacteristic, complemented
100#15689441C2211yescharacteristic, complemented
101#15689432C2211yescharacteristic, complemented
102#15689428C2211yescharacteristic, complemented
103#15689425C2211yescharacteristic, complemented
104#15689421C2211yescharacteristic, complemented
105#15689381C2211yescharacteristic, complemented
106#15689381C2211yescharacteristic, complemented
107#15689380C2211yescharacteristic, complemented
108#15689373C2211yescharacteristic, complemented
109#15689369C2211yescharacteristic, complemented
110#15689369C2211yescharacteristic, complemented
111#15689368C2211yescharacteristic, complemented
112#15689366C2211yescharacteristic, complemented
113#15689363C2211yescharacteristic, complemented
114#15689357C2211yescharacteristic, complemented
115#15689357C2211yescharacteristic, complemented
116#15689356C2211yescharacteristic, complemented
117#15689351C2211yescharacteristic, complemented
118#15689350C2211yescharacteristic, complemented
119#15689350C2211yescharacteristic, complemented
120#15689349C2211yescharacteristic, complemented
121#15689348C2211yescharacteristic, complemented
122#15689344C2211yescharacteristic, complemented
123#15689343C2211yescharacteristic, complemented
124#15689343C2211yescharacteristic, complemented
125#15689340C2211yescharacteristic, complemented
126#15689336C2211yescharacteristic, complemented
127#15689336C2211yescharacteristic, complemented
128#15689336C2211yescharacteristic, complemented
129#15689332C2211yescharacteristic, complemented
130#15689326C2211yescharacteristic, complemented
131#15689322C2211yescharacteristic, complemented
132#15689316C2211yescharacteristic, complemented
133#15689288C2211yescharacteristic, complemented
134#15689287C2211yescharacteristic, complemented
135#15689287C2211yescharacteristic, complemented
136#15689286C2211yescharacteristic, complemented
137#15689285C2211yescharacteristic, complemented
138#15689285C2211yescharacteristic, complemented
139#15689285C2211yescharacteristic, complemented
140#15689285C2211yescharacteristic, complemented
141#15689285C2211yescharacteristic, complemented
142#15689285C2211yescharacteristic, complemented
143#15689285C2211yescharacteristic, complemented
144#15689285C2211yescharacteristic, complemented
145#15689282C2211yescharacteristic, complemented
146#15689282C2211yescharacteristic, complemented
147#15689281C2211yescharacteristic, complemented
148#15689280C2211yescharacteristic, complemented
149#15689275C2211yescharacteristic, complemented
150#15689274C2211yescharacteristic, complemented
151#15689267C2211yescharacteristic, complemented
152#15689266C2211yescharacteristic, complemented
153#15689266C2211yescharacteristic, complemented
154#15689265C2211yescharacteristic, complemented
155#15689265C2211yescharacteristic, complemented
156#15689265C2211yescharacteristic, complemented
157#15689264C2211yescharacteristic, complemented
158#15689260C2211yescharacteristic, complemented
159#15689257C2211yescharacteristic, complemented
160#15689255C2211yescharacteristic, complemented
161#15689235C2211yescharacteristic, complemented
162#15689227C2211yescharacteristic, complemented
163#15689224C2211yescharacteristic, complemented
164#15689220C2211yescharacteristic, complemented
165#15689215C2211yescharacteristic, complemented
166#15689214C2211yescharacteristic, complemented
167SD16×Dic47C2211yescharacteristic, complemented
168D8×Dic47C2211yescharacteristic, complemented
169#15689199C2211yescharacteristic, complemented
170#15689199C2211yescharacteristic, complemented
171#15689192C2211yescharacteristic, complemented
172#15689192C2211yescharacteristic, complemented
173#15689191C2211yescharacteristic, complemented
174#15689191C2211yescharacteristic, complemented
175(C22⋊D47)⋊C8C2211yescharacteristic, complemented
176(C22⋊D47)⋊C8C2211yescharacteristic, complemented
177#15689177C2211yescharacteristic, complemented
178#15689173C2211yescharacteristic, complemented
179#15689130C2211yescharacteristic, complemented
180#15689126C2211yescharacteristic, complemented
181#15689118C2211yescharacteristic, complemented
182#15689116C2211yescharacteristic, complemented
183C2×#13093948C2211yescharacteristic, complemented
184C2×#13093945C2211yescharacteristic, complemented
185#15689085C2211yescharacteristic, complemented
186C2×C22⋊(C47⋊C8)C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C22×#41×C47C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
191C2×#121×C47C2211yescharacteristic, complemented
192C47×#449C2211yescharacteristic
193C47×#449C2211yescharacteristic
194C47×#449C2211yescharacteristic, complemented
195C47×#449C2211yescharacteristic, complemented
196C47×#448C2211yescharacteristic, complemented
197C47×#448C2211yescharacteristic, complemented
198C47×#447C2211yescharacteristic, complemented
199C47×#447C2211yescharacteristic, complemented
200C47×#417C2211yescharacteristic, complemented
201C47×#417C2211yescharacteristic, complemented
202C47×#407C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625350—21no—
205C2×#10625350C2311yescharacteristic
206C2×#10625352—21no—
207C2×#10625352C2311yescharacteristic
208C2×#10625352C2311yescharacteristic
209C2×#10625352C2311yescharacteristic
210#41×D47—42no—
211#41×D47—42no—
212C22×Dic94C2311yescharacteristic
213C2×Q8×D47C2311yescharacteristic
214C22×C22⋊D47—21no—
215C22×C22⋊D47D411yescharacteristic
216C2×D4×D47—21no—
217C2×D4×D47C2311yescharacteristic
218C22×C4×D47—21no—
219C22×C4×D47C2311yescharacteristic
220#13094053—42no—
221#13094048—42no—
222#13094045—42no—
223#13094043—42no—
224C2×Dic188C2311yescharacteristic
225C2×Dic188C2311yescharacteristic
226C2×#10625337—42no—
227C2×#10625337C2311yescharacteristic
228C2×#10625337C2311yescharacteristic
229C2×#10625337C2311yescharacteristic
230C2×#10625337C2311yescharacteristic
231C2×#10625325C2311yescharacteristic
232C2×#10625325C2311yescharacteristic
233C2×#10625335—42no—
234C2×#10625335C2311yescharacteristic
235C2×#10625335C2311yescharacteristic
236C2×#10625335C2311yescharacteristic
237C2×#10625335C2311yescharacteristic
238C2×#10625335C2311yescharacteristic
239C2×#10625335C2311yescharacteristic
240C2×#10625334C2311yescharacteristic
241C2×#10625334C2311yescharacteristic
242C2×#10625324C2311yescharacteristic
243C2×#10625324C2311yescharacteristic
244C22×C47⋊C8C2311yescharacteristic
245C22×C47⋊C8C2311yescharacteristic
246C2×C8×D47C2311yescharacteristic
247C2×C8×D47C2311yescharacteristic
248#13094022—21no—
249#13094022C2311yescharacteristic
250#13094020—21no—
251#13094020C2311yescharacteristic
252#13094019—21no—
253#13094019—21no—
254#13094017—21no—
255#13094017—21no—
256#13094017—21no—
257#13094017—21no—
258#13094015C2311yescharacteristic
259#13094015C2311yescharacteristic
260#13094014—21no—
261#13094014—21no—
262#13094013—21no—
263#13094013C2311yescharacteristic
264#13094011—21no—
265#13094011C2311yescharacteristic
266#13094011C2311yescharacteristic
267#13094011C2311yescharacteristic
268#13094010—21no—
269#13094010—21no—
270#13094008—21no—
271#13094008—21no—
272#13094007—21no—
273#13094007—21no—
274#13094007—21no—
275#13094007—21no—
276#13094007—21no—
277#13094006—21no—
278#13094006—21no—
279#13094005—21no—
280#13094005—21no—
281#13094005—21no—
282#13094005—21no—
283#13094005—21no—
284#13094005—21no—
285#13094005—21no—
286#13094004C2311yescharacteristic
287#13094004C2311yescharacteristic
288#13094003—21no—
289#13094003—21no—
290#13094003—21no—
291#13094003—21no—
292#13094003C2311yescharacteristic
293#13094003C2311yescharacteristic
294#13094003C2311yescharacteristic
295#13094003C2311yescharacteristic
296#13094003C2311yescharacteristic
297#13094003C2311yescharacteristic
298#13094001—21no—
299#13094001—21no—
300#13094000—21no—
301#13094000—21no—
302#13094000C2311yescharacteristic
303#13094000C2311yescharacteristic
304#13093998—21no—
305#13093998—21no—
306#13093998C2311yescharacteristic
307#13093998C2311yescharacteristic
308#13093996—21no—
309#13093996—21no—
310#13093996—21no—
311#13093996—21no—
312#13093996—21no—
313#13093996—21no—
314#13093996—21no—
315#13093996—21no—
316#13093996—21no—
317#13093996—21no—
318#13093996—21no—
319#13093996—21no—
320#13093995—21no—
321#13093995—21no—
322#13093995C2311yescharacteristic
323#13093995C2311yescharacteristic
324#13093995C2311yescharacteristic
325#13093995C2311yescharacteristic
326#13093993—21no—
327#13093993—21no—
328#13093993—21no—
329#13093993—21no—
330#13093993—21no—
331#13093992—21no—
332#13093992—21no—
333#13093992—21no—
334#13093992—21no—
335#13093992—21no—
336Q8×Dic47C2311yescharacteristic
337Q8×Dic47C2311yescharacteristic
338#13093989C2311yescharacteristic
339#13093989C2311yescharacteristic
340D4×Dic47—21no—
341D4×Dic47—21no—
342D4×Dic47—21no—
343D4×Dic47—21no—
344D4×Dic47—21no—
345D4×Dic47—21no—
346D4×Dic47—21no—
347D4×Dic47—21no—
348D4×Dic47—21no—
349D4×Dic47—21no—
350D4×Dic47C2311yescharacteristic
351D4×Dic47C2311yescharacteristic
352D4×Dic47C2311yescharacteristic
353D4×Dic47C2311yescharacteristic
354C4×C22⋊D47—21no—
355C4×C22⋊D47—21no—
356C4×C22⋊D47—21no—
357C4×C22⋊D47—21no—
358C4×C22⋊D47—21no—
359C4×C22⋊D47—21no—
360C4×C22⋊D47—21no—
361C4×C22⋊D47—21no—
362C4×C22⋊D47—21no—
363C4×C22⋊D47—21no—
364C4×C22⋊D47D411yescharacteristic
365C4×C22⋊D47D411yescharacteristic
366C4×C22⋊D47D411yescharacteristic
367C4×C22⋊D47D411yescharacteristic
368C4×C22⋊D47C2311yescharacteristic
369C4×C22⋊D47C2311yescharacteristic
370C4×C22⋊D47C2311yescharacteristic
371C4×C22⋊D47C2311yescharacteristic
372(C22⋊D47)⋊C4—21no—
373(C22⋊D47)⋊C4—21no—
374#13093983—21no—
375#13093983—21no—
376#13093983—21no—
377#13093983C2311yescharacteristic
378#13093982C2311yescharacteristic
379#13093982C2311yescharacteristic
380#13093980—21no—
381#13093980—21no—
382C2×C4⋊Dic47C2311yescharacteristic
383C2×Dic47⋊C4—21no—
384C2×Dic47⋊C4—21no—
385C2×Dic47⋊C4D411yescharacteristic
386C2×C22⋊Dic47—21no—
387C2×C22⋊Dic47—21no—
388C2×C22⋊Dic47—21no—
389C2×C22⋊Dic47—21no—
390C2×C22⋊Dic47D411yescharacteristic
391C2×(C2×D47)⋊C4—21no—
392C2×(C2×D47)⋊C4D411yescharacteristic
393C2×C4×Dic47—21no—
394C2×C4×Dic47C2311yescharacteristic
395#13093958C2311yescharacteristic
396#13093958C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093956C2311yescharacteristic
400#13093956C2311yescharacteristic
401#13093955C2311yescharacteristic
402#13093955C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093948C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431C22⋊(C47⋊C8)C2311yescharacteristic
432C22⋊(C47⋊C8)C2311yescharacteristic
433C22⋊(C47⋊C8)C2311yescharacteristic
434C22⋊(C47⋊C8)C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439#13093934C2311yescharacteristic
440#13093934C2311yescharacteristic
441C8×Dic47C2311yescharacteristic
442C8×Dic47C2311yescharacteristic
443C2×#41×C47—21no—
444C2×#41×C47—21no—
445C2×#41×C47—42no—
446C2×#41×C47—42no—
447C2×#41×C47C2311yescharacteristic
448C2×#41×C47C2311yescharacteristic
449C2×#41×C47C2311yescharacteristic
450C2×#41×C47C2311yescharacteristic
451C22×Q8×C47C2311yescharacteristic
452C22×D4×C47—21no—
453C22×D4×C47—21no—
454C22×D4×C47C2311yescharacteristic
455C22×D4×C47C2311yescharacteristic
456C23×C4×C47—21no—
457C23×C4×C47C2311yescharacteristic
458AGL(1,ℤ/8)×C47—42no—
459AGL(1,ℤ/8)×C47—42no—
460C2×SD16×C47C2311yescharacteristic
461C2×SD16×C47C2311yescharacteristic
462C2×SD16×C47C2311yescharacteristic
463C2×SD16×C47C2311yescharacteristic
464C2×D8×C47C2311yescharacteristic
465C2×D8×C47C2311yescharacteristic
466C2×D8×C47C2311yescharacteristic
467C2×D8×C47C2311yescharacteristic
468C2×M16×C47C2311yescharacteristic
469C2×M16×C47C2311yescharacteristic
470#121×C47—21no—
471#121×C47—21no—
472#121×C47C2311yescharacteristic
473#121×C47C2311yescharacteristic
474#121×C47C2311yescharacteristic
475#121×C47C2311yescharacteristic
476C2×C4⋊C4×C47C2311yescharacteristic
477C2×C22⋊C4×C47—21no—
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#103×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486C22⋊C8×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C22⋊C8×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47—21no—
492C24×C47C2×D411yescharacteristic
493C23×D47—21no—
494C23×D47C2×D411yescharacteristic
495#41×C47—22no—
496#41×C47—22no—
497#41×C47—22no—
498#41×C47—22no—
499#41×C47—41no—
500#41×C47—41no—
501#41×C47—41no—
502#41×C47—41no—
503#41×C47—44no—
504#41×C47—44no—
505C2×Q8×C47—21no—
506C2×Q8×C47—22no—
507C2×Q8×C47—41no—
508C2×Q8×C47C2411yescharacteristic
509C2×Q8×C47C2411yescharacteristic
510C2×D4×C47—21no—
511C2×D4×C47—22no—
512C2×D4×C47—21no—
513C2×D4×C47—21no—
514C2×D4×C47—21no—
515C2×D4×C47—21no—
516C2×D4×C47—21no—
517C2×D4×C47—21no—
518C2×D4×C47—21no—
519C2×D4×C47—21no—
520C2×D4×C47—21no—
521C2×D4×C47—41no—
522C2×D4×C47—41no—
523C2×D4×C47—41no—
524C2×D4×C47—44no—
525C2×D4×C47—44no—
526C2×D4×C47C2411yescharacteristic
527C2×D4×C47C2411yescharacteristic
528C2×D4×C47C2411yescharacteristic
529C2×D4×C47C2411yescharacteristic
530C22×C4×C47—21no—
531C22×C4×C47—21no—
532C22×C4×C47—21no—
533C22×C4×C47—21no—
534C22×C4×C47—21no—
535C22×C4×C47—21no—
536C22×C4×C47—41no—
537C22×C4×C47—41no—
538C22×C4×C47—44no—
539C22×C4×C47C2×D411yescharacteristic
540C22×C4×C47C2×D411yescharacteristic
541C22×C4×C47C2×D411yescharacteristic
542C22×C4×C47C2411yescharacteristic
543C22×C4×C47C2411yescharacteristic
544C22×C4×C47C2411yescharacteristic
545C2×C22⋊D47—21no—
546C2×C22⋊D47—21no—
547C2×C22⋊D47—21no—
548C2×C22⋊D47—21no—
549C2×C22⋊D47—21no—
550C2×C22⋊D47—21no—
551C2×C22⋊D47—21no—
552C2×C22⋊D47—21no—
553C2×C22⋊D47—21no—
554C2×C22⋊D47—21no—
555C2×C22⋊D47—21no—
556C2×C22⋊D47—21no—
557C2×C22⋊D47—21no—
558C2×C22⋊D47—42no—
559C2×C22⋊D47—44no—
560C2×C22⋊D47C2×D411yescharacteristic
561C2×C22⋊D47C2×D411yescharacteristic
562C2×C22⋊D47C2×D411yescharacteristic
563C2×C22⋊D47C2×D411yescharacteristic
564C22×Dic47—21no—
565C22×Dic47—21no—
566C22×Dic47—21no—
567C22×Dic47—21no—
568C22×Dic47—21no—
569C22×Dic47—21no—
570C22×Dic47—21no—
571C22×Dic47—21no—
572C22×Dic47—21no—
573C22×Dic47C2×D411yescharacteristic
574C22×Dic47C2×D411yescharacteristic
575C22×Dic47C2×D411yescharacteristic
576#10625354—22no—
577#10625354—41no—
578Q8×D47—22no—
579Q8×D47—41no—
580#10625352—22no—
581#10625352—41no—
582#10625352—41no—
583#10625352—41no—
584#10625352—41no—
585#10625352—41no—
586#10625352—44no—
587D4×D47—22no—
588D4×D47—41no—
589D4×D47—44no—
590#10625350—41no—
591#10625350—41no—
592#10625350—44no—
593C2×D188—21no—
594C2×D188C2411yescharacteristic
595C2×C4×D47—21no—
596C2×C4×D47—21no—
597C2×C4×D47—21no—
598C2×C4×D47—41no—
599C2×C4×D47—41no—
600C2×C4×D47—44no—
601C2×C4×D47C2×D411yescharacteristic
602C2×C4×D47C2×D411yescharacteristic
603C2×C4×D47C2411yescharacteristic
604C2×C4×D47C2411yescharacteristic
605C2×Dic94—21no—
606C2×Dic94—21no—
607C2×Dic94—41no—
608C2×Dic94—41no—
609C2×Dic94C2411yescharacteristic
610C2×Dic94C2411yescharacteristic
611C2×Dic94C2411yescharacteristic
612SD16×C47—22no—
613SD16×C47—22no—
614SD16×C47—41no—
615SD16×C47—41no—
616D8×C47—22no—
617D8×C47—22no—
618D8×C47—41no—
619D8×C47—41no—
620M16×C47—41no—
621M16×C47—41no—
622C2×C8×C47C2411yescharacteristic
623C2×C8×C47C2411yescharacteristic
624C2×C8×C47C2411yescharacteristic
625C2×C8×C47C2411yescharacteristic
626C4⋊C4×C47—21no—
627C4⋊C4×C47C2411yescharacteristic
628C4⋊C4×C47C2411yescharacteristic
629C22⋊C4×C47—21no—
630C22⋊C4×C47—21no—
631C22⋊C4×C47—21no—
632C22⋊C4×C47—21no—
633C22⋊Dic47—21no—
634C22⋊Dic47—21no—
635C22⋊Dic47—21no—
636C22⋊Dic47—21no—
637C22⋊Dic47—21no—
638C22⋊Dic47—21no—
639C22⋊Dic47—21no—
640C22⋊Dic47—21no—
641C22⋊Dic47—21no—
642C22⋊Dic47—21no—
643C22⋊Dic47—21no—
644C22⋊Dic47—21no—
645C22⋊Dic47—21no—
646C22⋊Dic47—21no—
647C22⋊Dic47—21no—
648C22⋊Dic47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47—21no—
653C22⋊Dic47—21no—
654C22⋊Dic47C2×D411yescharacteristic
655C22⋊Dic47C2×D411yescharacteristic
656C22⋊Dic47C2×D411yescharacteristic
657C22⋊Dic47C2×D411yescharacteristic
658#10625337—22no—
659#10625337—22no—
660#10625337—41no—
661#10625337—41no—
662#10625335—22no—
663#10625335—22no—
664#10625335—41no—
665#10625335—41no—
666#10625335—41no—
667#10625335—41no—
668#10625334—41no—
669#10625334—41no—
670(C2×D47)⋊C4—21no—
671(C2×D47)⋊C4—21no—
672(C2×D47)⋊C4—21no—
673(C2×D47)⋊C4—21no—
674(C2×D47)⋊C4—21no—
675(C2×D47)⋊C4—21no—
676(C2×D47)⋊C4—21no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4C2×D411yescharacteristic
681(C2×D47)⋊C4C2×D411yescharacteristic
682(C2×D47)⋊C4C2×D411yescharacteristic
683(C2×D47)⋊C4C2×D411yescharacteristic
684C4⋊Dic47—21no—
685C4⋊Dic47—21no—
686C4⋊Dic47—21no—
687C4⋊Dic47—21no—
688C4⋊Dic47—21no—
689C4⋊Dic47—21no—
690C4⋊Dic47—21no—
691C4⋊Dic47C2411yescharacteristic
692C4⋊Dic47C2411yescharacteristic
693C4⋊Dic47C2411yescharacteristic
694C4⋊Dic47C2411yescharacteristic
695Dic47⋊C4—21no—
696Dic47⋊C4—21no—
697Dic47⋊C4—21no—
698Dic47⋊C4—21no—
699Dic47⋊C4—21no—
700Dic47⋊C4—21no—
701Dic47⋊C4—21no—
702Dic47⋊C4—21no—
703Dic47⋊C4—21no—
704Dic47⋊C4—21no—
705Dic47⋊C4—21no—
706Dic47⋊C4—21no—
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4C2×D411yescharacteristic
710Dic47⋊C4C2×D411yescharacteristic
711Dic47⋊C4C2×D411yescharacteristic
712Dic47⋊C4C2×D411yescharacteristic
713C4×Dic47—21no—
714C4×Dic47—21no—
715C4×Dic47—21no—
716C4×Dic47—21no—
717C4×Dic47—21no—
718C4×Dic47—21no—
719C4×Dic47—21no—
720C4×Dic47C2×D411yescharacteristic
721C4×Dic47C2×D411yescharacteristic
722C4×Dic47C2411yescharacteristic
723C4×Dic47C2411yescharacteristic
724C2×C47⋊C8—41no—
725C2×C47⋊C8—41no—
726C2×C47⋊C8C2411yescharacteristic
727C2×C47⋊C8C2411yescharacteristic
728C2×C47⋊C8C2411yescharacteristic
729C2×C47⋊C8C2411yescharacteristic
730Dic188—41no—
731Dic188—41no—
732#10625325—41no—
733#10625325—41no—
734#10625324—41no—
735#10625324—41no—
736C8×D47—41no—
737C8×D47—41no—
738C23×C47—21no—
739C23×C47—22no—
740C23×C47—21no—
741C23×C47—21no—
742C23×C47—21no—
743C23×C47—41no—
744C23×C47—41no—
745C23×C47—42no—
746C23×C47—42no—
747C23×C47—42no—
748C23×C47—81no—
749C23×C47—81no—
750C23×C47—81no—
751C23×C47C22×D411yescharacteristic
752C23×C47C22×D411yescharacteristic
753C23×C47C22×D411yescharacteristic
754C22×D47—21no—
755C22×D47—41no—
756C22×D47—41no—
757C22×D47—41no—
758C22×D47—42no—
759C22×D47—42no—
760C22×D47—81no—
761C22×D47C22×D411yescharacteristic
762C22×D47C22×D411yescharacteristic
763Q8×C47—21no—
764Q8×C47—21no—
765Q8×C47—21no—
766Q8×C47—42no—
767Q8×C47H(5,𝔽2)12yes—
768D4×C47—24no—
769D4×C47—21no—
770D4×C47—21no—
771D4×C47—21no—
772D4×C47—21no—
773D4×C47—21no—
774D4×C47—21no—
775D4×C47—21no—
776D4×C47—42no—
777D4×C47—42no—
778D4×C47—42no—
779D4×C47—42no—
780D4×C47—42no—
781D4×C47—42no—
782D4×C47—42no—
783D4×C47—42no—
784D4×C47—81no—
785D4×C47H(5,𝔽2)12yes—
786C2×C4×C47—24no—
787C2×C4×C47—21no—
788C2×C4×C47—21no—
789C2×C4×C47—21no—
790C2×C4×C47—21no—
791C2×C4×C47—21no—
792C2×C4×C47—21no—
793C2×C4×C47—21no—
794C2×C4×C47—21no—
795C2×C4×C47—21no—
796C2×C4×C47—21no—
797C2×C4×C47—41no—
798C2×C4×C47—41no—
799C2×C4×C47—41no—
800C2×C4×C47—42no—
801C2×C4×C47—42no—
802C2×C4×C47—42no—
803C2×C4×C47—42no—
804C2×C4×C47—42no—
805C2×C4×C47C22×D411yescharacteristic
806C2×C4×C47C22×D411yescharacteristic
807C2×C4×C47C22×D411yescharacteristic
808C2×C4×C47C2511yescharacteristic
809C22⋊D47—22no—
810C22⋊D47—22no—
811C22⋊D47—41no—
812C22⋊D47—41no—
813C22⋊D47—42no—
814C22⋊D47—42no—
815C22⋊D47—42no—
816C22⋊D47—42no—
817C22⋊D47—42no—
818C22⋊D47—42no—
819C22⋊D47—81no—
820C22⋊D47—81no—
821C22⋊D47—81no—
822C22⋊D47—81no—
823C22⋊D47—81no—
824C22⋊D47—81no—
825C22⋊D47—81no—
826C2×Dic47—21no—
827C2×Dic47—21no—
828C2×Dic47—21no—
829C2×Dic47—21no—
830C2×Dic47—21no—
831C2×Dic47—21no—
832C2×Dic47—21no—
833C2×Dic47—41no—
834C2×Dic47—41no—
835C2×Dic47—41no—
836C2×Dic47—42no—
837C2×Dic47—42no—
838C2×Dic47—81no—
839C2×Dic47—81no—
840C2×Dic47—81no—
841C2×Dic47—81no—
842C2×Dic47—81no—
843C2×Dic47—81no—
844C2×Dic47—81no—
845C2×Dic47C22×D411yescharacteristic
846C2×Dic47C22×D411yescharacteristic
847C2×Dic47C22×D411yescharacteristic
848C2×Dic47C22×D411yescharacteristic
849C2×Dic47C22×D411yescharacteristic
850C2×Dic47C22×D411yescharacteristic
851D188—21no—
852D188—21no—
853D188—42no—
854C4×D47—21no—
855C4×D47—21no—
856C4×D47—21no—
857C4×D47—21no—
858C4×D47—41no—
859C4×D47—41no—
860C4×D47—42no—
861C4×D47—42no—
862C4×D47—42no—
863Dic94—21no—
864Dic94—21no—
865Dic94—21no—
866Dic94—21no—
867Dic94—21no—
868Dic94—21no—
869Dic94—42no—
870Dic94—81no—
871C8×C47—21no—
872C8×C47—21no—
873C8×C47—21no—
874C8×C47—21no—
875C47⋊C8—21no—
876C47⋊C8—21no—
877C47⋊C8—21no—
878C47⋊C8—21no—
879#61606—471nomaximal, Sylow
880C22×C47—21no—
881C22×C47—21no—
882C22×C47—21no—
883C22×C47—21no—
884C22×C47—21no—
885C22×C47—22no—
886C22×C47—21no—
887C22×C47—21no—
888C22×C47—21no—
889C22×C47—41no—
890C22×C47—41no—
891C22×C47—41no—
892C22×C47—41no—
893C22×C47—41no—
894C22×C47—41no—
895C22×C47—41no—
896C22×C47—41no—
897C22×C47—41no—
898C22×C47—41no—
899C22×C47—41no—
900C22×C47—82no—
901C22×C47—84no—
902C22×C47—162no—
903C22×C47#57512yes—
904C22×C47C23×D411yescharacteristic
905C2×D47—21no—
906C2×D47—21no—
907C2×D47—21no—
908C2×D47—21no—
909C2×D47—21no—
910C2×D47—21no—
911C2×D47—41no—
912C2×D47—41no—
913C2×D47—41no—
914C2×D47—82no—
915C2×D47—84no—
916C4×C47—22no—
917C4×C47—21no—
918C4×C47—21no—
919C4×C47—21no—
920C4×C47—41no—
921C4×C47—41no—
922C4×C47—41no—
923C4×C47C2×H(5,𝔽2)11yescharacteristic
924C4×C47C2×H(5,𝔽2)11yescharacteristic
925Dic47—21no—
926Dic47—21no—
927Dic47—21no—
928Dic47—21no—
929Dic47—21no—
930Dic47—21no—
931Dic47—41no—
932Dic47—41no—
933Dic47—41no—
934Dic47—41no—
935Dic47—41no—
936Dic47—41no—
937Dic47—41no—
938#3505—471no—
939D4×#41—471no—
940#3327—471no—
941#3323—471no—
942#3320—471no—
943#3318—471no—
944#3317—471no—
945#3315—471no—
946#3301—471no—
947#3297—471no—
948#3285—471no—
949#3282—471no—
950#3275—471no—
951#3273—471no—
952#3270—471no—
953#3268—471no—
954#3267—471no—
955#3265—471no—
956#3219—471no—
957#3212—471no—
958#3197—471no—
959#3196—471no—
960#3191—471no—
961#3188—471no—
962#3111—471no—
963#3102—471no—
964#3006D4711yescharacteristic, complemented
965#3005—471no—
966#3002—471no—
967C2×#452—471no—
968#2974—471no—
969C2×C47—22no—
970C2×C47—41no—
971C2×C47—42no—
972C2×C47—41no—
973C2×C47—81no—
974C2×C47—81no—
975C2×C47—81no—
976C2×C47#348411yescharacteristic
977C2×C47C2×#57511yescharacteristic
978C2×C47#358411yescharacteristic
979D47—41no—
980D47—41no—
981D47—81no—
982C22×#41—471no—
983C22×#41C2×D4711yescharacteristic
984C2×#137—471no—
985C2×AGL(1,ℤ/8)—471no—
986C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
987C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
988C2×#135—471no—
989C2×#135—471no—
990C22×Q16—471no—
991C22×SD16—471no—
992#553—471no—
993#553—471no—
994#553—941no—
995#553—941no—
996#552—471no—
997#552—471no—
998#551—941no—
999#551—941no—
1000#550—471no—
1001D4×Q8—471no—
1002#548—471no—
1003#548—471no—
1004#548—471no—
1005#548—471no—
1006#547—471no—
1007#547—941no—
1008#546—471no—
1009#546—471no—
1010#546—471no—
1011#546—471no—
1012#546—941no—
1013#546—941no—
1014D42—471no—
1015D42—941no—
1016#539—941no—
1017#538—941no—
1018#534—941no—
1019#532—471no—
1020#532—941no—
1021#529—471no—
1022#529—471no—
1023#525—471no—
1024#525—471no—
1025#525—471no—
1026#525—471no—
1027#525—941no—
1028#525—941no—
1029C2×C22⋊Q8—471no—
1030C2×#121C2×D4711yescharacteristic, complemented
1031#518—941no—
1032C4×#41—471no—
1033C2×C4×D4—471no—
1034C2×C4×D4—941no—
1035#497—471no—
1036#496—471no—
1037#495—471no—
1038#495—471no—
1039#491—471no—
1040#490—471no—
1041#488—471no—
1042#488—471no—
1043#485—471no—
1044#485—471no—
1045#485—471no—
1046#485—471no—
1047#484—471no—
1048#484—471no—
1049#482—471no—
1050#482—471no—
1051#482—471no—
1052#482—471no—
1053#481—471no—
1054#481—471no—
1055#479—471no—
1056#479—471no—
1057#478—471no—
1058#478—471no—
1059#470—471no—
1060#470—471no—
1061#470—471no—
1062#469—471no—
1063#468—471no—
1064#468—471no—
1065#468—471no—
1066#468—471no—
1067#467—471no—
1068#466—471no—
1069#466—471no—
1070#466—471no—
1071#465—471no—
1072#465—471no—
1073#465—471no—
1074#465—471no—
1075#464—471no—
1076#464—471no—
1077#464—471no—
1078#464—471no—
1079#463—471no—
1080#463—471no—
1081#463—471no—
1082#463—471no—
1083#462—471no—
1084#461—471no—
1085#460—471no—
1086#459—471no—
1087#452—471no—
1088#452—471no—
1089#452—471no—
1090#452—471no—
1091#452—471no—
1092#452—471no—
1093#452—471no—
1094#452—471no—
1095#452—471no—
1096#452—471no—
1097#452—471no—
1098#452—471no—
1099#452—471no—
1100#452—471no—
1101#451—471no—
1102#451—471no—
1103#450—471no—
1104#450—471no—
1105#449—471no—
1106#449—471no—
1107#449—471no—
1108#449—471no—
1109#449—471no—
1110#449—471no—
1111#449C2×D4711yescharacteristic
1112#449C2×D4711yescharacteristic
1113#449C2×D4711yescharacteristic, complemented
1114#449C2×D4711yescharacteristic, complemented
1115#448—471no—
1116#448—471no—
1117#448C2×D4711yescharacteristic, complemented
1118#448C2×D4711yescharacteristic, complemented
1119#447—471no—
1120#447—471no—
1121#447C2×D4711yescharacteristic, complemented
1122#447C2×D4711yescharacteristic, complemented
1123#442—471no—
1124#441—471no—
1125#440—471no—
1126#440—471no—
1127C4×Q16—471no—
1128C4×SD16—471no—
1129C4×SD16—471no—
1130C4×D8—471no—
1131#436—471no—
1132#436—471no—
1133#435—471no—
1134#435—471no—
1135#435—471no—
1136#435—471no—
1137C8×D4—471no—
1138C8×D4—471no—
1139#432—471no—
1140#431—471no—
1141#419—471no—
1142#418—471no—
1143#417C2×D4711yescharacteristic, complemented
1144#417C2×D4711yescharacteristic, complemented
1145#416—471no—
1146#416—471no—
1147C2×#103—471no—
1148C2×#102—471no—
1149#407—471no—
1150#407C2×D4711yescharacteristic, complemented
1151C2×C22⋊C8—471no—
1152C2×C22⋊C8—471no—
1153C47#6160611yescharacteristic, complemented, Sylow
1154C2×#41—21no—
1155C2×#41—21no—
1156C2×#41—42no—
1157C2×#41—42no—
1158C2×#41—471no—
1159C2×#41—471no—
1160C2×#41—471no—
1161C2×#41—471no—
1162C2×#41—471no—
1163C2×#41—941no—
1164C2×#41—941no—
1165C2×#41—1882no—
1166C2×#41—1882no—
1167C2×#41C22×D4711yescharacteristic
1168C2×#41C22×D4711yescharacteristic
1169C2×#41C22×D4711yescharacteristic
1170C2×#41C22×D4711yescharacteristic
1171C22×Q8—471no—
1172C22×Q8—471no—
1173C22×Q8C22×D4711yescharacteristic
1174C22×D4—21no—
1175C22×D4—21no—
1176C22×D4—471no—
1177C22×D4—471no—
1178C22×D4—941no—
1179C22×D4—941no—
1180C22×D4C22×D4711yescharacteristic
1181C22×D4C22×D4711yescharacteristic
1182C23×C4—21no—
1183C23×C4—471no—
1184C23×C4—941no—
1185C23×C4C22×D4711yescharacteristic
1186#137—1882no—
1187AGL(1,ℤ/8)—42no—
1188AGL(1,ℤ/8)—42no—
1189AGL(1,ℤ/8)—1882no—
1190#135—1882no—
1191#135—1882no—
1192C2×Q16—471no—
1193C2×Q16—471no—
1194C2×Q16—471no—
1195C2×Q16—471no—
1196C2×Q16—471no—
1197C2×Q16—471no—
1198C2×Q16—1882no—
1199C2×SD16—471no—
1200C2×SD16—471no—
1201C2×SD16—471no—
1202C2×SD16—471no—
1203C2×SD16—471no—
1204C2×SD16—471no—
1205C2×SD16—471no—
1206C2×SD16—471no—
1207C2×SD16—1882no—
1208C2×SD16C22×D4711yescharacteristic
1209C2×SD16C22×D4711yescharacteristic
1210C2×SD16C22×D4711yescharacteristic
1211C2×SD16C22×D4711yescharacteristic
1212C2×D8—471no—
1213C2×D8—471no—
1214C2×D8C22×D4711yescharacteristic
1215C2×D8C22×D4711yescharacteristic
1216C2×D8C22×D4711yescharacteristic
1217C2×D8C22×D4711yescharacteristic
1218C2×M16—471no—
1219C2×M16—471no—
1220C2×M16C22×D4711yescharacteristic
1221C2×M16C22×D4711yescharacteristic
1222C22×C8—471no—
1223C22×C8—471no—
1224C22×C8—471no—
1225C22×C8—471no—
1226C4⋊Q8—471no—
1227C4⋊Q8—941no—
1228#127—471no—
1229#127—941no—
1230#126—941no—
1231#126—941no—
1232#126—941no—
1233#126—941no—
1234#126—941no—
1235#126—941no—
1236#125—471no—
1237#125—471no—
1238#125—941no—
1239#125—941no—
1240#124—471no—
1241#124—471no—
1242#124—471no—
1243#124—471no—
1244#124—941no—
1245#124—941no—
1246#124—941no—
1247#124—941no—
1248#123—941no—
1249#123—941no—
1250#123—941no—
1251#123—941no—
1252#123—941no—
1253#123—941no—
1254#123—941no—
1255#123—941no—
1256#123—941no—
1257#123—941no—
1258#123—941no—
1259#123—941no—
1260#123—941no—
1261#123—941no—
1262#123—941no—
1263#123—941no—
1264C22⋊Q8—471no—
1265C22⋊Q8—471no—
1266C22⋊Q8—471no—
1267C22⋊Q8—471no—
1268C22⋊Q8—471no—
1269C22⋊Q8—471no—
1270C22⋊Q8—471no—
1271C22⋊Q8—471no—
1272C22⋊Q8—471no—
1273C22⋊Q8—471no—
1274C22⋊Q8—941no—
1275C22⋊Q8—941no—
1276C22⋊Q8—941no—
1277C22⋊Q8—941no—
1278C22⋊Q8—941no—
1279C22⋊Q8—941no—
1280C22⋊Q8—941no—
1281C22⋊Q8—941no—
1282#121—21no—
1283#121—21no—
1284#121—471no—
1285#121—471no—
1286#121—471no—
1287#121—471no—
1288#121—471no—
1289#121—471no—
1290#121—941no—
1291#121—941no—
1292#121—941no—
1293#121—941no—
1294#121—941no—
1295#121—941no—
1296#121—941no—
1297#121—941no—
1298#121—941no—
1299#121—941no—
1300#121—941no—
1301#121—941no—
1302#121—941no—
1303#121—941no—
1304#121—941no—
1305#121—941no—
1306#121C22×D4711yescharacteristic
1307#121C22×D4711yescharacteristic
1308#121C22×D4711yescharacteristic
1309#121C22×D4711yescharacteristic
1310#120—941no—
1311#120—941no—
1312#120—941no—
1313#120—941no—
1314#120—941no—
1315#120—941no—
1316#120—941no—
1317#120—941no—
1318#120—941no—
1319#120—941no—
1320C4×Q8—471no—
1321C4×Q8—471no—
1322C4×Q8—471no—
1323C4×Q8—471no—
1324C4×D4—471no—
1325C4×D4—471no—
1326C4×D4—471no—
1327C4×D4—471no—
1328C4×D4—471no—
1329C4×D4—471no—
1330C4×D4—471no—
1331C4×D4—471no—
1332C4×D4—471no—
1333C4×D4—471no—
1334C4×D4—471no—
1335C4×D4—471no—
1336C4×D4—941no—
1337C4×D4—941no—
1338C4×D4—941no—
1339C4×D4—941no—
1340C4×D4—941no—
1341C4×D4—941no—
1342C4×D4—941no—
1343C4×D4—941no—
1344C4×D4—941no—
1345C4×D4—941no—
1346C4×D4—941no—
1347C4×D4—941no—
1348C4×D4—941no—
1349C4×D4—941no—
1350C4×D4—941no—
1351C4×D4—941no—
1352C4×D4—941no—
1353C4×D4—941no—
1354C4×D4—941no—
1355C4×D4—941no—
1356C4×D4—941no—
1357C4×D4—941no—
1358#117—471no—
1359#117—471no—
1360#117—471no—
1361#117—941no—
1362#117—941no—
1363#117—941no—
1364#117—941no—
1365#117—941no—
1366C2×C4⋊C4—471no—
1367C2×C4⋊C4—471no—
1368C2×C4⋊C4—941no—
1369C2×C4⋊C4—941no—
1370C2×C4⋊C4C22×D4711yescharacteristic
1371C2×C22⋊C4—21no—
1372C2×C22⋊C4—471no—
1373C2×C22⋊C4—471no—
1374C2×C22⋊C4—941no—
1375C2×C22⋊C4—941no—
1376C2×C22⋊C4—941no—
1377C2×C22⋊C4—941no—
1378C2×C22⋊C4—941no—
1379C2×C42—471no—
1380C2×C42—941no—
1381#107—471no—
1382#107—471no—
1383#107—471no—
1384#107—471no—
1385#106—471no—
1386#106—471no—
1387#106—471no—
1388#106—471no—
1389C4⋊C8—471no—
1390C4⋊C8—471no—
1391C4⋊C8—471no—
1392C4⋊C8—471no—
1393#103—471no—
1394#103—471no—
1395#103—471no—
1396#103—471no—
1397#103—471no—
1398#103—471no—
1399#103—471no—
1400#103—471no—
1401#103—471no—
1402#103—471no—
1403#103—471no—
1404#103—471no—
1405#103C22×D4711yescharacteristic
1406#103C22×D4711yescharacteristic
1407#103C22×D4711yescharacteristic
1408#103C22×D4711yescharacteristic
1409#102—471no—
1410#102—471no—
1411#102—471no—
1412#102—471no—
1413#102—471no—
1414#102—471no—
1415#102—471no—
1416#102—471no—
1417#102—471no—
1418#102—471no—
1419#102—471no—
1420#102—471no—
1421#102C22×D4711yescharacteristic
1422#102C22×D4711yescharacteristic
1423#102C22×D4711yescharacteristic
1424#102C22×D4711yescharacteristic
1425C22⋊C8—471no—
1426C22⋊C8—471no—
1427C22⋊C8—471no—
1428C22⋊C8—471no—
1429C22⋊C8—471no—
1430C22⋊C8—471no—
1431C22⋊C8—471no—
1432C22⋊C8—471no—
1433C22⋊C8C22×D4711yescharacteristic
1434C22⋊C8C22×D4711yescharacteristic
1435C22⋊C8C22×D4711yescharacteristic
1436C22⋊C8C22×D4711yescharacteristic
1437#97—471no—
1438#97—471no—
1439C4×C8—471no—
1440C4×C8—471no—
1441C24—21no—
1442C24—21no—
1443C24—471no—
1444C24—941no—
1445C24D4×D4711yescharacteristic
1446#41—22no—
1447#41—22no—
1448#41—22no—
1449#41—22no—
1450#41—41no—
1451#41—41no—
1452#41—41no—
1453#41—41no—
1454#41—44no—
1455#41—44no—
1456#41—942no—
1457#41—942no—
1458#41—1881no—
1459#41—1881no—
1460#41—1884no—
1461#41—1881no—
1462#41—1881no—
1463#41—1881no—
1464#41—1881no—
1465#41—1881no—
1466#41—1881no—
1467#41—1884no—
1468C2×Q8—21no—
1469C2×Q8—22no—
1470C2×Q8—41no—
1471C2×Q8—471no—
1472C2×Q8—471no—
1473C2×Q8—471no—
1474C2×Q8—941no—
1475C2×Q8—941no—
1476C2×Q8—942no—
1477C2×Q8—1881no—
1478C2×Q8—1881no—
1479C2×Q8—1881no—
1480C2×Q8C23×D4711yescharacteristic
1481C2×Q8C23×D4711yescharacteristic
1482C2×D4—21no—
1483C2×D4—22no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—41no—
1494C2×D4—41no—
1495C2×D4—41no—
1496C2×D4—44no—
1497C2×D4—44no—
1498C2×D4—471no—
1499C2×D4—471no—
1500C2×D4—471no—
1501C2×D4—471no—
1502C2×D4—471no—
1503C2×D4—941no—
1504C2×D4—941no—
1505C2×D4—941no—
1506C2×D4—941no—
1507C2×D4—942no—
1508C2×D4—941no—
1509C2×D4—941no—
1510C2×D4—941no—
1511C2×D4—941no—
1512C2×D4—941no—
1513C2×D4—941no—
1514C2×D4—941no—
1515C2×D4—941no—
1516C2×D4—941no—
1517C2×D4—941no—
1518C2×D4—1881no—
1519C2×D4—1884no—
1520C2×D4—1882no—
1521C2×D4—1884no—
1522C2×D4C23×D4711yescharacteristic
1523C2×D4C23×D4711yescharacteristic
1524C2×D4C23×D4711yescharacteristic
1525C2×D4C23×D4711yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—41no—
1533C22×C4—41no—
1534C22×C4—44no—
1535C22×C4—471no—
1536C22×C4—471no—
1537C22×C4—471no—
1538C22×C4—471no—
1539C22×C4—471no—
1540C22×C4—471no—
1541C22×C4—471no—
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—941no—
1552C22×C4—941no—
1553C22×C4—941no—
1554C22×C4—1881no—
1555C22×C4—1881no—
1556C22×C4—1884no—
1557C22×C4D4×D4711yescharacteristic
1558C22×C4D4×D4711yescharacteristic
1559C22×C4D4×D4711yescharacteristic
1560C22×C4C23×D4711yescharacteristic
1561C22×C4C23×D4711yescharacteristic
1562C22×C4C23×D4711yescharacteristic
1563Q16—942no—
1564Q16—942no—
1565Q16—1881no—
1566Q16—1881no—
1567Q16—1881no—
1568Q16—1881no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—942no—
1574SD16—942no—
1575SD16—1881no—
1576SD16—1881no—
1577SD16—1881no—
1578SD16—1881no—
1579SD16—1881no—
1580SD16—1881no—
1581D8—22no—
1582D8—22no—
1583D8—41no—
1584D8—41no—
1585D8—1881no—
1586D8—1881no—
1587M16—41no—
1588M16—41no—
1589M16—1881no—
1590M16—1881no—
1591C2×C8—471no—
1592C2×C8—471no—
1593C2×C8—471no—
1594C2×C8—471no—
1595C2×C8—1881no—
1596C2×C8—1881no—
1597C2×C8—1881no—
1598C2×C8—1881no—
1599C2×C8C23×D4711yescharacteristic
1600C2×C8C23×D4711yescharacteristic
1601C2×C8C23×D4711yescharacteristic
1602C2×C8C23×D4711yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—471no—
1605C4⋊C4—471no—
1606C4⋊C4—471no—
1607C4⋊C4—471no—
1608C4⋊C4—471no—
1609C4⋊C4—471no—
1610C4⋊C4—471no—
1611C4⋊C4—471no—
1612C4⋊C4—941no—
1613C4⋊C4—941no—
1614C4⋊C4—941no—
1615C4⋊C4—941no—
1616C4⋊C4—941no—
1617C4⋊C4—941no—
1618C4⋊C4—941no—
1619C4⋊C4—941no—
1620C4⋊C4—941no—
1621C4⋊C4—941no—
1622C4⋊C4—941no—
1623C4⋊C4—941no—
1624C4⋊C4—941no—
1625C4⋊C4—941no—
1626C4⋊C4—941no—
1627C4⋊C4—941no—
1628C4⋊C4—941no—
1629C4⋊C4—941no—
1630C4⋊C4—941no—
1631C4⋊C4—941no—
1632C4⋊C4—941no—
1633C4⋊C4C23×D4711yescharacteristic
1634C4⋊C4C23×D4711yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—471no—
1640C22⋊C4—471no—
1641C22⋊C4—471no—
1642C22⋊C4—471no—
1643C22⋊C4—471no—
1644C22⋊C4—471no—
1645C22⋊C4—471no—
1646C22⋊C4—471no—
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⋊C4—941no—
1658C22⋊C4—941no—
1659C22⋊C4—941no—
1660C22⋊C4—941no—
1661C22⋊C4—941no—
1662C22⋊C4—941no—
1663C22⋊C4—941no—
1664C22⋊C4—941no—
1665C22⋊C4—941no—
1666C22⋊C4—941no—
1667C22⋊C4—941no—
1668C22⋊C4—941no—
1669C22⋊C4—941no—
1670C22⋊C4—941no—
1671C22⋊C4—941no—
1672C22⋊C4—941no—
1673C22⋊C4—941no—
1674C22⋊C4—941no—
1675C22⋊C4—941no—
1676C22⋊C4—941no—
1677C22⋊C4—941no—
1678C42—471no—
1679C42—471no—
1680C42—471no—
1681C42—471no—
1682C42—941no—
1683C42—941no—
1684C42—941no—
1685C42—941no—
1686C42—941no—
1687C42—941no—
1688C42—941no—
1689C23—21no—
1690C23—22no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—41no—
1695C23—41no—
1696C23—42no—
1697C23—42no—
1698C23—42no—
1699C23—81no—
1700C23—81no—
1701C23—81no—
1702C23—471no—
1703C23—471no—
1704C23—941no—
1705C23—3761no—
1706C23—1881no—
1707C23—1881no—
1708C23—1881no—
1709C23—1882no—
1710C23—1882no—
1711C23C2×D4×D4711yescharacteristic
1712C23C2×D4×D4711yescharacteristic
1713C23C2×D4×D4711yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—42no—
1718Q8—941no—
1719Q8—941no—
1720Q8—941no—
1721Q8—941no—
1722Q8—941no—
1723Q8—941no—
1724Q8—3761no—
1725Q8—1882no—
1726Q8#1309406912yes—
1727D4—24no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—42no—
1739D4—42no—
1740D4—42no—
1741D4—42no—
1742D4—42no—
1743D4—81no—
1744D4—942no—
1745D4—942no—
1746D4—941no—
1747D4—941no—
1748D4—3761no—
1749D4—3761no—
1750D4—3761no—
1751D4—3761no—
1752D4—3761no—
1753D4—3761no—
1754D4—3761no—
1755D4—1882no—
1756D4—1881no—
1757D4—1881no—
1758D4—1882no—
1759D4—1882no—
1760D4—1882no—
1761D4—1882no—
1762D4—1882no—
1763D4—1882no—
1764D4#1309406912yes—
1765C2×C4—24no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—42no—
1780C2×C4—42no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—471no—
1785C2×C4—471no—
1786C2×C4—471no—
1787C2×C4—471no—
1788C2×C4—471no—
1789C2×C4—471no—
1790C2×C4—941no—
1791C2×C4—941no—
1792C2×C4—941no—
1793C2×C4—941no—
1794C2×C4—941no—
1795C2×C4—941no—
1796C2×C4—941no—
1797C2×C4—941no—
1798C2×C4—941no—
1799C2×C4—941no—
1800C2×C4—941no—
1801C2×C4—3761no—
1802C2×C4—3761no—
1803C2×C4—3761no—
1804C2×C4—3761no—
1805C2×C4—3761no—
1806C2×C4—3761no—
1807C2×C4—3761no—
1808C2×C4—1881no—
1809C2×C4—1881no—
1810C2×C4—1882no—
1811C2×C4—1882no—
1812C2×C4—1882no—
1813C2×C4—1881no—
1814C2×C4—1881no—
1815C2×C4—1881no—
1816C2×C4—1882no—
1817C2×C4—1882no—
1818C2×C4C2×D4×D4711yescharacteristic
1819C2×C4C2×D4×D4711yescharacteristic
1820C2×C4C2×D4×D4711yescharacteristic
1821C2×C4C24×D4711yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—941no—
1827C8—941no—
1828C8—941no—
1829C8—941no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—22no—
1838C22—21no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—82no—
1851C22—84no—
1852C22—162no—
1853C22—941no—
1854C22—941no—
1855C22—941no—
1856C22—941no—
1857C22—941no—
1858C22—941no—
1859C22—3764no—
1860C22—3762no—
1861C22—1881no—
1862C22—1881no—
1863C22—1881no—
1864C22#1568991912yes—
1865C22C22×D4×D4711yescharacteristic
1866C4—21no—
1867C4—22no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—941no—
1874C4—941no—
1875C4—941no—
1876C4—941no—
1877C4—941no—
1878C4—941no—
1879C4—1881no—
1880C4—1881no—
1881C4—1881no—
1882C4—1881no—
1883C4—1881no—
1884C4—1881no—
1885C4—1881no—
1886C4C2×#1309406911yescharacteristic
1887C4C2×#1309406911yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—41no—
1891C2—42no—
1892C2—81no—
1893C2—81no—
1894C2—81no—
1895C2—3761no—
1896C2—1881no—
1897C2—1881no—
1898C2#2025701711yescharacteristic
1899C2C2×#1568991911yescharacteristic
1900C2#2025816111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3006C2
socleC22×C47C23×D4
hypercenter#3006D47
hypocenterC47#61606
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3006

Complements

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

NH ≅ G/Ntype
1. #20257222C2semidirect
2. #41×C22⋊D47C2semidirect
3. #20255657C2semidirect
4. #20255605C2semidirect
5. #20255563C2semidirect
6. #20255533C2semidirect
7. #20255515C2semidirect
8. #20255485C2semidirect
9. #20255294C2semidirect
10. #20255242C2semidirect
11. #20255122C2semidirect
12. #20255099C2semidirect
13. #20255019C2semidirect
14. #20254993C2semidirect
15. #20254951C2semidirect
16. #20254922C2semidirect
17. #20254907C2semidirect
18. #20254887C2semidirect
19. #20254423C2semidirect
20. #20254361C2semidirect
21. #20254227C2semidirect
22. #20254220C2semidirect
23. #20254178C2semidirect
24. #20254153C2semidirect
25. #20253490C2semidirect
26. #20253399C2semidirect
27. #20252626C2semidirect
28. #20252603C2semidirect
29. C2×#15689285C2semidirect
30. #20252424C2semidirect
31. C47×#3006C2semidirect
32. C2×#41×D47C22semidirect
33. C2×#13094053C22semidirect
34. C2×#13094048C22semidirect
35. C2×#13094045C22semidirect
36. C2×#13094043C22semidirect
37. C22×#10625337C22semidirect
38. C22×#10625335C22semidirect
40. #15689825C22semidirect
43. #15689808C22semidirect
44. #15689808C22semidirect
48. Q8×C22⋊D47C22semidirect
49. #15689784C22semidirect
52. #15689779C22semidirect
56. #15689767C22semidirect
57. #15689767C22semidirect
58. #15689767C22semidirect
62. D4×C22⋊D47C22semidirect
67. #15689669C22semidirect
68. #15689654C22semidirect
69. #15689654C22semidirect
72. #15689633C22semidirect
73. #15689633C22semidirect
75. #15689630C22semidirect
76. C2×#13094003C22semidirect
78. #41×Dic47C22semidirect
81. #15689514C22semidirect
82. #15689511C22semidirect
83. #15689506C22semidirect
84. #15689504C22semidirect
85. #15689490C22semidirect
86. #15689486C22semidirect
87. #15689479C22semidirect
88. #15689476C22semidirect
89. #15689465C22semidirect
90. #15689465C22semidirect
91. #15689463C22semidirect
92. #15689462C22semidirect
93. #15689459C22semidirect
94. #15689458C22semidirect
95. #15689446C22semidirect
96. #15689445C22semidirect
97. #15689444C22semidirect
98. #15689444C22semidirect
99. #15689442C22semidirect
100. #15689441C22semidirect
101. #15689432C22semidirect
102. #15689428C22semidirect
103. #15689425C22semidirect
104. #15689421C22semidirect
105. #15689381C22semidirect
106. #15689381C22semidirect
107. #15689380C22semidirect
108. #15689373C22semidirect
109. #15689369C22semidirect
110. #15689369C22semidirect
111. #15689368C22semidirect
112. #15689366C22semidirect
113. #15689363C22semidirect
114. #15689357C22semidirect
115. #15689357C22semidirect
116. #15689356C22semidirect
117. #15689351C22semidirect
118. #15689350C22semidirect
119. #15689350C22semidirect
120. #15689349C22semidirect
121. #15689348C22semidirect
122. #15689344C22semidirect
123. #15689343C22semidirect
124. #15689343C22semidirect
125. #15689340C22semidirect
126. #15689336C22semidirect
127. #15689336C22semidirect
128. #15689336C22semidirect
129. #15689332C22semidirect
130. #15689326C22semidirect
131. #15689322C22semidirect
132. #15689316C22semidirect
133. #15689288C22semidirect
134. #15689287C22semidirect
135. #15689287C22semidirect
136. #15689286C22semidirect
137. #15689285C22semidirect
138. #15689285C22semidirect
139. #15689285C22semidirect
140. #15689285C22semidirect
141. #15689285C22semidirect
142. #15689285C22semidirect
143. #15689285C22semidirect
144. #15689285C22semidirect
145. #15689282C22semidirect
146. #15689282C22semidirect
147. #15689281C22semidirect
148. #15689280C22semidirect
149. #15689275C22semidirect
150. #15689274C22semidirect
151. #15689267C22semidirect
152. #15689266C22semidirect
153. #15689266C22semidirect
154. #15689265C22semidirect
155. #15689265C22semidirect
156. #15689265C22semidirect
157. #15689264C22semidirect
158. #15689260C22semidirect
159. #15689257C22semidirect
160. #15689255C22semidirect
161. #15689235C22semidirect
162. #15689227C22semidirect
163. #15689224C22semidirect
164. #15689220C22semidirect
165. #15689215C22semidirect
166. #15689214C22semidirect
167. SD16×Dic47C22semidirect
168. D8×Dic47C22semidirect
169. #15689199C22semidirect
170. #15689199C22semidirect
171. #15689192C22semidirect
172. #15689192C22semidirect
173. #15689191C22semidirect
174. #15689191C22semidirect
175. (C22⋊D47)⋊C8C22semidirect
176. (C22⋊D47)⋊C8C22semidirect
177. #15689177C22semidirect
178. #15689173C22semidirect
179. #15689130C22semidirect
180. #15689126C22semidirect
181. #15689118C22semidirect
182. #15689116C22semidirect
183. C2×#13093948C22semidirect
184. C2×#13093945C22semidirect
185. #15689085C22semidirect
186. C2×C22⋊(C47⋊C8)C22semidirect
187. C22⋊C8×D47C22semidirect
189. C2×AGL(1,ℤ/8)×C47C22semidirect
190. C2×AGL(1,ℤ/8)×C47C22semidirect
191. C2×#121×C47C22semidirect
194. C47×#449C22semidirect
195. C47×#449C22semidirect
196. C47×#448C22semidirect
197. C47×#448C22semidirect
198. C47×#447C22semidirect
199. C47×#447C22semidirect
200. C47×#417C22semidirect
201. C47×#417C22semidirect
202. C47×#407C22semidirect
964. #3006D47semidirect
986. C2×AGL(1,ℤ/8)C2×D47semidirect
987. C2×AGL(1,ℤ/8)C2×D47semidirect
1030. C2×#121C2×D47semidirect
1113. #449C2×D47semidirect
1114. #449C2×D47semidirect
1117. #448C2×D47semidirect
1118. #448C2×D47semidirect
1121. #447C2×D47semidirect
1122. #447C2×D47semidirect
1143. #417C2×D47semidirect
1144. #417C2×D47semidirect
1150. #407C2×D47semidirect
1153. C47#61606semidirect

Maximal subgroups

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

subgroupindex
#202572222
#41×C22⋊D472
#202556572
#202556052
#202555632
#202555332
#202555152
#202554852
#202552942
#202552422
#202551222
#202550992
#202550192
#202549932
#202549512
#202549222
#202549072
#202548872
#202544232
#202543612
#202542272
#202542202
#202541782
#202541532
#202534902
#202533992
#202526262
#202526032
C2×#156892852
#202524242
C47×#30062
#6160647