Finite Group Databasebeta

← #27102533

Subgroups — #27102533

Order 12032.

2110 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#20257667C211yesmaximal, characteristic, complemented
2#20257048C211yesmaximal, characteristic, complemented
3#20255533C211yesmaximal, characteristic, complemented
4#20255509C211yesmaximal, characteristic, complemented
5#20255501C211yesmaximal, characteristic, complemented
6#20255429C211yesmaximal, characteristic, complemented
7#20255330C211yesmaximal, characteristic, complemented
8#20255296C211yesmaximal, characteristic, complemented
9#20255227C211yesmaximal, characteristic, complemented
10#20255212C211yesmaximal, characteristic, complemented
11#20255125C211yesmaximal, characteristic, complemented
12#20255116C211yesmaximal, characteristic, complemented
13#20255101C211yesmaximal, characteristic, complemented
14SD16×C22⋊D47C211yesmaximal, characteristic, complemented
15#20254972C211yesmaximal, characteristic, complemented
16#20254951C211yesmaximal, characteristic, complemented
17#20254907C211yesmaximal, characteristic, complemented
18#20254477C211yesmaximal, characteristic, complemented
19#20254459C211yesmaximal, characteristic, complemented
20#20254297C211yesmaximal, characteristic, complemented
21#20254265C211yesmaximal, characteristic, complemented
22#20254148C211yesmaximal, characteristic, complemented
23#20254143C211yesmaximal, characteristic, complemented
24#20253662C211yesmaximal, characteristic, complemented
25#20253606C211yesmaximal, characteristic, complemented
26#20252691C211yesmaximal, characteristic, complemented
27#20252660C211yesmaximal, characteristic, complemented
28#20252601C211yesmaximal, characteristic, complemented
29C2×#15689282C211yesmaximal, characteristic, complemented
30#20252439C211yesmaximal, characteristic, complemented
31C47×#3265C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic
33C22×#10625352C2211yescharacteristic
34C2×#13094053C2211yescharacteristic, complemented
35C2×#13094044C2211yescharacteristic, complemented
36C2×#13094043C2211yescharacteristic, complemented
37C2×#13094043C2211yescharacteristic, complemented
38C22×#10625337C2211yescharacteristic, complemented
39C2×SD16×D47C2211yescharacteristic, complemented
40#15689874—21no—
41#15689867—21no—
42#15689846C2211yescharacteristic, complemented
43#15689832—21no—
44#15689830C2211yescharacteristic, complemented
45#15689825C2211yescharacteristic, complemented
46#15689816—21no—
47#15689815C2211yescharacteristic, complemented
48#15689793C2211yescharacteristic
49#15689791C2211yescharacteristic
50Q8×C22⋊D47C2211yescharacteristic, complemented
51#15689782C2211yescharacteristic
52#15689781C2211yescharacteristic, complemented
53#15689779C2211yescharacteristic
54#15689772C2211yescharacteristic, complemented
55#15689768C2211yescharacteristic
56#15689767C2211yescharacteristic
57#15689762—21no—
58#15689760—21no—
59D4×C22⋊D47—21no—
60D4×C22⋊D47C2211yescharacteristic
61#15689755—21no—
62#15689742C2211yescharacteristic, complemented
63#15689737—21no—
64#15689731C2211yescharacteristic, complemented
65#15689722—21no—
66#15689710—21no—
67#15689706—21no—
68#15689702C2211yescharacteristic
69#15689701C2211yescharacteristic, complemented
70#15689700—21no—
71#15689696C2211yescharacteristic, complemented
72#15689688—21no—
73#15689686C2211yescharacteristic
74#15689633C2211yescharacteristic, complemented
75#15689632C2211yescharacteristic
76#15689629—21no—
77C2×#13094000C2211yescharacteristic, complemented
78C2×#13093996—21no—
79#121×D47C2211yescharacteristic
80#15689602C2211yescharacteristic
81#15689514C2211yescharacteristic, complemented
82#15689505C2211yescharacteristic, complemented
83#15689494C2211yescharacteristic, complemented
84#15689486C2211yescharacteristic, complemented
85#15689483C2211yescharacteristic, complemented
86#15689476C2211yescharacteristic, complemented
87#15689469C2211yescharacteristic, complemented
88#15689466C2211yescharacteristic, complemented
89#15689460C2211yescharacteristic, complemented
90#15689454C2211yescharacteristic, complemented
91#15689452C2211yescharacteristic, complemented
92#15689452C2211yescharacteristic, complemented
93#15689450C2211yescharacteristic, complemented
94#15689446C2211yescharacteristic, complemented
95#15689446C2211yescharacteristic, complemented
96#15689442C2211yescharacteristic, complemented
97#15689440C2211yescharacteristic, complemented
98#15689439C2211yescharacteristic, complemented
99#15689439C2211yescharacteristic, complemented
100#15689429C2211yescharacteristic, complemented
101#15689425C2211yescharacteristic, complemented
102#15689413C2211yescharacteristic, complemented
103#15689409C2211yescharacteristic, complemented
104#15689381C2211yescharacteristic, complemented
105#15689380C2211yescharacteristic, complemented
106#15689373C2211yescharacteristic, complemented
107#15689362C2211yescharacteristic, complemented
108#15689357C2211yescharacteristic, complemented
109#15689355C2211yescharacteristic, complemented
110#15689355C2211yescharacteristic, complemented
111#15689352C2211yescharacteristic, complemented
112#15689351C2211yescharacteristic, complemented
113#15689350C2211yescharacteristic, complemented
114#15689350C2211yescharacteristic, complemented
115#15689349C2211yescharacteristic, complemented
116#15689349C2211yescharacteristic, complemented
117#15689349C2211yescharacteristic, complemented
118#15689346C2211yescharacteristic, complemented
119#15689345C2211yescharacteristic, complemented
120#15689343C2211yescharacteristic, complemented
121#15689342C2211yescharacteristic, complemented
122#15689336C2211yescharacteristic, complemented
123#15689332C2211yescharacteristic, complemented
124#15689326C2211yescharacteristic, complemented
125#15689321C2211yescharacteristic, complemented
126#15689320C2211yescharacteristic, complemented
127#15689316C2211yescharacteristic, complemented
128#15689287C2211yescharacteristic, complemented
129#15689286C2211yescharacteristic
130#15689286C2211yescharacteristic, complemented
131#15689285C2211yescharacteristic, complemented
132#15689283C2211yescharacteristic, complemented
133#15689282C2211yescharacteristic
134#15689282C2211yescharacteristic
135#15689282C2211yescharacteristic, complemented
136#15689282C2211yescharacteristic, complemented
137#15689282C2211yescharacteristic, complemented
138#15689282C2211yescharacteristic, complemented
139#15689282C2211yescharacteristic, complemented
140#15689282C2211yescharacteristic, complemented
141#15689282C2211yescharacteristic, complemented
142#15689281C2211yescharacteristic, complemented
143#15689280C2211yescharacteristic, complemented
144#15689275C2211yescharacteristic, complemented
145#15689274C2211yescharacteristic, complemented
146#15689274C2211yescharacteristic, complemented
147#15689272C2211yescharacteristic, complemented
148#15689272C2211yescharacteristic, complemented
149#15689272C2211yescharacteristic, complemented
150#15689269C2211yescharacteristic, complemented
151#15689265C2211yescharacteristic
152#15689265C2211yescharacteristic, complemented
153#15689265C2211yescharacteristic, complemented
154#15689265C2211yescharacteristic, complemented
155#15689262C2211yescharacteristic, complemented
156#15689261C2211yescharacteristic, complemented
157#15689260C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689235C2211yescharacteristic, complemented
161#15689231C2211yescharacteristic, complemented
162#15689227C2211yescharacteristic, complemented
163C4×#10625337C2211yescharacteristic, complemented
164#15689214C2211yescharacteristic, complemented
165SD16×Dic47C2211yescharacteristic, complemented
166C4×#10625335C2211yescharacteristic, complemented
167#15689196C2211yescharacteristic, complemented
168#15689192C2211yescharacteristic, complemented
169#15689191C2211yescharacteristic, complemented
170D4×C47⋊C8C2211yescharacteristic, complemented
171#15689188C2211yescharacteristic, complemented
172C8×C22⋊D47C2211yescharacteristic, complemented
173(C22⋊D47)⋊C8C2211yescharacteristic, complemented
174#15689185C2211yescharacteristic, complemented
175#15689183C2211yescharacteristic, complemented
176#15689126C2211yescharacteristic, complemented
177#15689125C2211yescharacteristic, complemented
178#15689116C2211yescharacteristic, complemented
179#15689116C2211yescharacteristic, complemented
180#15689116C2211yescharacteristic, complemented
181C2×#13093949C2211yescharacteristic, complemented
182C2×#13093945C2211yescharacteristic, complemented
183C2×#13093945C2211yescharacteristic, complemented
184#15689091C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
189C22×SD16×C47C2211yescharacteristic, complemented
190C47×#548C2211yescharacteristic, complemented
191D42×C47C2211yescharacteristic
192C47×#496C2211yescharacteristic, complemented
193C47×#468C2211yescharacteristic, complemented
194C47×#466C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#460C2211yescharacteristic, complemented
197C47×#450C2211yescharacteristic, complemented
198C47×#449C2211yescharacteristic, complemented
199C47×#448C2211yescharacteristic, complemented
200C47×#447C2211yescharacteristic, complemented
201C47×#440C2211yescharacteristic, complemented
202C47×#435C2211yescharacteristic, complemented
203#13094069—42no—
204#13094069—42no—
205C2×#10625350C2311yescharacteristic
206C2×#10625350C2311yescharacteristic
207C2×#10625352—21no—
208C2×#10625352—21no—
209C2×#10625352—21no—
210C2×#10625352—42no—
211C2×#10625352—42no—
212C2×#10625352C2311yescharacteristic
213C2×#10625352C2311yescharacteristic
214C2×#10625352C2311yescharacteristic
215C2×#10625352C2311yescharacteristic
216C2×#10625352C2311yescharacteristic
217C2×#10625352C2311yescharacteristic
218C22×Dic94C2311yescharacteristic
219C2×Q8×D47C2311yescharacteristic
220C22×C22⋊D47—21no—
221C22×C22⋊D47—21no—
222C22×C22⋊D47—21no—
223C22×C22⋊D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47C2311yescharacteristic
227C2×D4×D47C2311yescharacteristic
228C23×Dic47—21no—
229C22×C4×D47C2311yescharacteristic
230#13094053—42no—
231#13094044—42no—
232#13094043—42no—
233#13094043—42no—
234C2×Dic188C2311yescharacteristic
235C2×Dic188C2311yescharacteristic
236C2×#10625337—42no—
237C2×#10625337C2311yescharacteristic
238C2×#10625337C2311yescharacteristic
239C2×#10625337C2311yescharacteristic
240C2×#10625337C2311yescharacteristic
241C2×#10625325C2311yescharacteristic
242C2×#10625335C2311yescharacteristic
243C2×#10625335C2311yescharacteristic
244C2×#10625335C2311yescharacteristic
245C2×#10625335C2311yescharacteristic
246C2×#10625335C2311yescharacteristic
247C2×#10625336C2311yescharacteristic
248C2×#10625336C2311yescharacteristic
249SD16×D47—42no—
250C2×#10625334C2311yescharacteristic
251C2×#10625324C2311yescharacteristic
252C22×C47⋊C8C2311yescharacteristic
253C22×C47⋊C8C2311yescharacteristic
254C2×C8×D47C2311yescharacteristic
255C2×C8×D47C2311yescharacteristic
256C2×C8×D47C2311yescharacteristic
257#13094024C2311yescharacteristic
258#13094023—21no—
259#13094022—21no—
260#13094022C2311yescharacteristic
261#13094020—21no—
262#13094020—21no—
263#13094020C2311yescharacteristic
264#13094019—21no—
265#13094019—21no—
266#13094019—21no—
267#13094019—21no—
268#13094018—21no—
269#13094017—21no—
270#13094017—21no—
271#13094016—21no—
272#13094015—21no—
273#13094015—21no—
274#13094015C2311yescharacteristic
275#13094014—21no—
276#13094012—21no—
277#13094012C2311yescharacteristic
278#13094011C2311yescharacteristic
279#13094010—21no—
280#13094010—21no—
281#13094010—21no—
282#13094010—21no—
283#13094010—21no—
284#13094009—21no—
285#13094009D411yescharacteristic
286#13094008—21no—
287#13094008—21no—
288#13094008—21no—
289#13094008—21no—
290#13094007—21no—
291#13094006—21no—
292#13094006—21no—
293#13094006D411yescharacteristic
294#13094005—21no—
295#13094005—21no—
296#13094004C2311yescharacteristic
297#13094004C2311yescharacteristic
298#13094003—21no—
299#13094003—21no—
300#13094003C2311yescharacteristic
301#13094003C2311yescharacteristic
302#13094003C2311yescharacteristic
303#13094002—21no—
304#13094002D411yescharacteristic
305#13094001—21no—
306#13094001—21no—
307#13094001—21no—
308#13094001—21no—
309#13094001—21no—
310#13094001—21no—
311#13094001D411yescharacteristic
312#13094000—21no—
313#13094000—21no—
314#13094000—21no—
315#13094000C2311yescharacteristic
316#13094000C2311yescharacteristic
317#13094000C2311yescharacteristic
318#13094000C2311yescharacteristic
319#13094000C2311yescharacteristic
320#13093999C2311yescharacteristic
321#13093998—21no—
322#13093998—21no—
323#13093998C2311yescharacteristic
324#13093997—21no—
325#13093997—21no—
326#13093997—21no—
327#13093997—21no—
328#13093997D411yescharacteristic
329#13093996—21no—
330#13093996—21no—
331#13093996—21no—
332#13093996—21no—
333#13093996—21no—
334#13093996—21no—
335#13093996—21no—
336#13093996—21no—
337#13093996—21no—
338#13093996—21no—
339#13093996—21no—
340#13093996—21no—
341#13093996—21no—
342#13093996—21no—
343#13093996—21no—
344#13093996D411yescharacteristic
345#13093995—21no—
346#13093995C2311yescharacteristic
347#13093995C2311yescharacteristic
348#13093995C2311yescharacteristic
349#13093995C2311yescharacteristic
350#13093994—21no—
351#13093994D411yescharacteristic
352#13093993—21no—
353#13093993—21no—
354#13093992—21no—
355#13093992—21no—
356#13093992—21no—
357#13093992—21no—
358#13093992D411yescharacteristic
359Q8×Dic47C2311yescharacteristic
360C4×Dic94—21no—
361C4×Dic94C2311yescharacteristic
362C4×Dic94C2311yescharacteristic
363#13093989C2311yescharacteristic
364C4×D188C2311yescharacteristic
365D4×Dic47—21no—
366D4×Dic47—21no—
367D4×Dic47—21no—
368D4×Dic47—21no—
369D4×Dic47—21no—
370D4×Dic47C2311yescharacteristic
371D4×Dic47C2311yescharacteristic
372C4×C22⋊D47—21no—
373C4×C22⋊D47—21no—
374C4×C22⋊D47C2311yescharacteristic
375C4×C22⋊D47C2311yescharacteristic
376(C22⋊D47)⋊C4—21no—
377(C22⋊D47)⋊C4—21no—
378(C22⋊D47)⋊C4—21no—
379(C22⋊D47)⋊C4—21no—
380(C22⋊D47)⋊C4—21no—
381#13093982C2311yescharacteristic
382#13093982C2311yescharacteristic
383#13093981C2311yescharacteristic
384#13093980—21no—
385#13093980—21no—
386C2×C4⋊Dic47C2311yescharacteristic
387C2×C4⋊Dic47C2311yescharacteristic
388C2×Dic47⋊C4—21no—
389C2×Dic47⋊C4—21no—
390C2×Dic47⋊C4—21no—
391C4⋊C4×D47C2311yescharacteristic
392C2×C22⋊Dic47—21no—
393C2×(C2×D47)⋊C4—21no—
394C2×(C2×D47)⋊C4—21no—
395C22⋊C4×D47—21no—
396#13093957C2311yescharacteristic
397#13093956C2311yescharacteristic
398#13093956C2311yescharacteristic
399#13093956C2311yescharacteristic
400#13093955C2311yescharacteristic
401#13093955C2311yescharacteristic
402#13093955C2311yescharacteristic
403C4⋊(C47⋊C8)C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093945C2311yescharacteristic
430#13093945C2311yescharacteristic
431#13093944C2311yescharacteristic
432C22⋊(C47⋊C8)C2311yescharacteristic
433C22⋊(C47⋊C8)C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442#13093934C2311yescharacteristic
443C4×C47⋊C8C2311yescharacteristic
444C8×Dic47C2311yescharacteristic
445C2×#41×C47C2311yescharacteristic
446C22×Q8×C47C2311yescharacteristic
447C22×D4×C47—21no—
448C22×D4×C47C2311yescharacteristic
449C22×D4×C47C2311yescharacteristic
450AGL(1,ℤ/8)×C47—42no—
451C2×SD16×C47—42no—
452C2×SD16×C47C2311yescharacteristic
453C2×SD16×C47C2311yescharacteristic
454C2×SD16×C47C2311yescharacteristic
455C2×SD16×C47C2311yescharacteristic
456C2×SD16×C47C2311yescharacteristic
457C2×SD16×C47C2311yescharacteristic
458C2×D8×C47C2311yescharacteristic
459C2×D8×C47C2311yescharacteristic
460C2×D8×C47C2311yescharacteristic
461C2×M16×C47C2311yescharacteristic
462C22×C8×C47C2311yescharacteristic
463#127×C47C2311yescharacteristic
464#124×C47—21no—
465#124×C47C2311yescharacteristic
466C22⋊Q8×C47—21no—
467C22⋊Q8×C47C2311yescharacteristic
468#121×C47—21no—
469#121×C47—21no—
470#121×C47C2311yescharacteristic
471#121×C47C2311yescharacteristic
472#121×C47C2311yescharacteristic
473#120×C47—21no—
474#120×C47—21no—
475C4×Q8×C47C2311yescharacteristic
476C4×D4×C47—21no—
477C4×D4×C47C2311yescharacteristic
478C4×D4×C47C2311yescharacteristic
479#107×C47C2311yescharacteristic
480C4⋊C8×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#103×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486#102×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489#97×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47C2×D411yescharacteristic
495#41×C47—41no—
496#41×C47—41no—
497C2×Q8×C47—21no—
498C2×Q8×C47—41no—
499C2×Q8×C47—41no—
500C2×Q8×C47C2411yescharacteristic
501C2×Q8×C47C2411yescharacteristic
502C2×D4×C47—22no—
503C2×D4×C47—22no—
504C2×D4×C47—21no—
505C2×D4×C47—21no—
506C2×D4×C47—21no—
507C2×D4×C47—21no—
508C2×D4×C47—21no—
509C2×D4×C47—21no—
510C2×D4×C47—21no—
511C2×D4×C47—21no—
512C2×D4×C47—41no—
513C2×D4×C47—41no—
514C2×D4×C47—82no—
515C2×D4×C47C2×D411yescharacteristic
516C2×D4×C47C2411yescharacteristic
517C2×D4×C47C2411yescharacteristic
518C2×D4×C47C2411yescharacteristic
519C2×D4×C47C2411yescharacteristic
520C22×C4×C47—21no—
521C22×C4×C47—21no—
522C22×C4×C47—21no—
523C22×C4×C47C2411yescharacteristic
524C22×C4×C47C2411yescharacteristic
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531C2×C22⋊D47—21no—
532C2×C22⋊D47—21no—
533C2×C22⋊D47—21no—
534C2×C22⋊D47—21no—
535C2×C22⋊D47—21no—
536C2×C22⋊D47—21no—
537C2×C22⋊D47—21no—
538C2×C22⋊D47—21no—
539C2×C22⋊D47—21no—
540C2×C22⋊D47—21no—
541C2×C22⋊D47—44no—
542C2×C22⋊D47—44no—
543C2×C22⋊D47—44no—
544C2×C22⋊D47—82no—
545C2×C22⋊D47C2×D411yescharacteristic
546C2×C22⋊D47C2×D411yescharacteristic
547C2×C22⋊D47C2×D411yescharacteristic
548C2×C22⋊D47C2×D411yescharacteristic
549C22×Dic47—21no—
550C22×Dic47—21no—
551C22×Dic47—21no—
552C22×Dic47—21no—
553C22×Dic47—21no—
554C22×Dic47—21no—
555C22×Dic47—21no—
556C22×Dic47—21no—
557C22×Dic47—21no—
558C22×Dic47—21no—
559C22×Dic47—21no—
560C22×Dic47—44no—
561C22×Dic47C2×D411yescharacteristic
562Q8×D47—41no—
563Q8×D47—41no—
564#10625352—22no—
565#10625352—22no—
566#10625352—22no—
567#10625352—22no—
568#10625352—22no—
569#10625352—41no—
570#10625352—41no—
571#10625352—41no—
572#10625352—41no—
573#10625352—41no—
574#10625352—41no—
575#10625352—41no—
576#10625352—44no—
577#10625352—44no—
578#10625352—44no—
579D4×D47—22no—
580D4×D47—41no—
581D4×D47—41no—
582D4×D47—41no—
583D4×D47—44no—
584D4×D47—82no—
585#10625350—22no—
586#10625350—41no—
587#10625350—41no—
588#10625350—41no—
589C2×D188—21no—
590C2×D188C2×D411yescharacteristic
591C2×D188C2×D411yescharacteristic
592C2×D188C2411yescharacteristic
593C2×C4×D47—21no—
594C2×C4×D47—21no—
595C2×C4×D47—21no—
596C2×C4×D47—41no—
597C2×C4×D47—41no—
598C2×C4×D47C2×D411yescharacteristic
599C2×C4×D47C2×D411yescharacteristic
600C2×C4×D47C2411yescharacteristic
601C2×C4×D47C2411yescharacteristic
602C2×C4×D47C2411yescharacteristic
603C2×Dic94—22no—
604C2×Dic94—21no—
605C2×Dic94—21no—
606C2×Dic94—21no—
607C2×Dic94—41no—
608C2×Dic94C2×D411yescharacteristic
609C2×Dic94C2411yescharacteristic
610C2×Dic94C2411yescharacteristic
611C2×Dic94C2411yescharacteristic
612SD16×C47—22no—
613SD16×C47—22no—
614SD16×C47—41no—
615SD16×C47—41no—
616SD16×C47—41no—
617SD16×C47—41no—
618D8×C47—22no—
619D8×C47—41no—
620D8×C47—41no—
621M16×C47—41no—
622C2×C8×C47—41no—
623C2×C8×C47C2411yescharacteristic
624C2×C8×C47C2411yescharacteristic
625C2×C8×C47C2411yescharacteristic
626C2×C8×C47C2411yescharacteristic
627C4⋊C4×C47—21no—
628C4⋊C4×C47—21no—
629C4⋊C4×C47C2×D411yescharacteristic
630C4⋊C4×C47C2411yescharacteristic
631C4⋊C4×C47C2411yescharacteristic
632C22⋊C4×C47—21no—
633C22⋊C4×C47—21no—
634C22⋊C4×C47—21no—
635C22⋊C4×C47—21no—
636C22⋊C4×C47—21no—
637C22⋊C4×C47—21no—
638C22⋊C4×C47—21no—
639C22⋊C4×C47C2×D411yescharacteristic
640C22⋊C4×C47C2×D411yescharacteristic
641C42×C47—21no—
642C42×C47C2411yescharacteristic
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
656#10625337—22no—
657#10625337—22no—
658#10625337—41no—
659#10625337—41no—
660#10625336—41no—
661#10625336—41no—
662#10625335—22no—
663#10625335—22no—
664#10625335—41no—
665#10625335—41no—
666#10625335—41no—
667#10625334—41no—
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)⋊C4—21no—
675(C2×D47)⋊C4—21no—
676(C2×D47)⋊C4—21no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4C2×D411yescharacteristic
682(C2×D47)⋊C4C2×D411yescharacteristic
683(C2×D47)⋊C4C2×D411yescharacteristic
684(C2×D47)⋊C4C2×D411yescharacteristic
685(C2×D47)⋊C4C2×D411yescharacteristic
686(C2×D47)⋊C4C2×D411yescharacteristic
687C4⋊Dic47—21no—
688C4⋊Dic47—21no—
689C4⋊Dic47—21no—
690C4⋊Dic47—21no—
691C4⋊Dic47—21no—
692C4⋊Dic47—21no—
693C4⋊Dic47—21no—
694C4⋊Dic47C2×D411yescharacteristic
695C4⋊Dic47C2411yescharacteristic
696C4⋊Dic47C2411yescharacteristic
697C4⋊Dic47C2411yescharacteristic
698C4⋊Dic47C2411yescharacteristic
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⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714Dic47⋊C4C2×D411yescharacteristic
715Dic47⋊C4C2×D411yescharacteristic
716Dic47⋊C4C2×D411yescharacteristic
717Dic47⋊C4C2×D411yescharacteristic
718C4×Dic47—21no—
719C4×Dic47—21no—
720C4×Dic47—21no—
721C4×Dic47—21no—
722C4×Dic47—21no—
723C4×Dic47—21no—
724C4×Dic47C2411yescharacteristic
725C2×C47⋊C8—41no—
726C2×C47⋊C8—41no—
727C2×C47⋊C8C2411yescharacteristic
728C2×C47⋊C8C2411yescharacteristic
729C2×C47⋊C8C2411yescharacteristic
730C2×C47⋊C8C2411yescharacteristic
731Dic188—22no—
732Dic188—41no—
733#10625325—41no—
734#10625324—41no—
735C8×D47—41no—
736C8×D47—41no—
737C8×D47—41no—
738C23×C47—21no—
739C23×C47—21no—
740C23×C47—21no—
741C23×C47—21no—
742C23×C47—42no—
743C23×C47—42no—
744C23×C47—42no—
745C23×C47—81no—
746C23×C47—81no—
747C23×C47—81no—
748C23×C47C22×D411yescharacteristic
749C23×C47C22×D411yescharacteristic
750C22×D47—22no—
751C22×D47—21no—
752C22×D47—41no—
753C22×D47—41no—
754C22×D47—42no—
755C22×D47—42no—
756C22×D47—81no—
757C22×D47—81no—
758C22×D47—81no—
759C22×D47—81no—
760C22×D47C22×D411yescharacteristic
761C22×D47C22×D411yescharacteristic
762C22×D47C22×D411yescharacteristic
763Q8×C47—21no—
764Q8×C47—21no—
765Q8×C47—21no—
766Q8×C47—21no—
767Q8×C47—81no—
768D4×C47—22no—
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—81no—
781D4×C47—81no—
782D4×C47—81no—
783D4×C47—81no—
784D4×C47H(5,𝔽2)12yes—
785C2×C4×C47—21no—
786C2×C4×C47—21no—
787C2×C4×C47—21no—
788C2×C4×C47—21no—
789C2×C4×C47—21no—
790C2×C4×C47—21no—
791C2×C4×C47—21no—
792C2×C4×C47—21no—
793C2×C4×C47—81no—
794C2×C4×C47—81no—
795C2×C4×C47—81no—
796C2×C4×C47C22×D411yescharacteristic
797C2×C4×C47C22×D411yescharacteristic
798C2×C4×C47C22×D411yescharacteristic
799C2×C4×C47C22×D411yescharacteristic
800C2×C4×C47C2511yescharacteristic
801C22⋊D47—24no—
802C22⋊D47—22no—
803C22⋊D47—41no—
804C22⋊D47—41no—
805C22⋊D47—41no—
806C22⋊D47—42no—
807C22⋊D47—42no—
808C22⋊D47—42no—
809C22⋊D47—42no—
810C22⋊D47—42no—
811C22⋊D47—42no—
812C22⋊D47—42no—
813C22⋊D47—42no—
814C22⋊D47—81no—
815C22⋊D47—81no—
816C22⋊D47—81no—
817C22⋊D47—81no—
818C22⋊D47—81no—
819C22⋊D47—81no—
820C22⋊D47—81no—
821C2×Dic47—24no—
822C2×Dic47—21no—
823C2×Dic47—21no—
824C2×Dic47—21no—
825C2×Dic47—21no—
826C2×Dic47—21no—
827C2×Dic47—21no—
828C2×Dic47—21no—
829C2×Dic47—41no—
830C2×Dic47—42no—
831C2×Dic47—42no—
832C2×Dic47—42no—
833C2×Dic47—42no—
834C2×Dic47—42no—
835C2×Dic47—81no—
836C2×Dic47—81no—
837C2×Dic47—81no—
838C2×Dic47—81no—
839C2×Dic47—81no—
840C2×Dic47C22×D411yescharacteristic
841C2×Dic47C22×D411yescharacteristic
842C2×Dic47C22×D411yescharacteristic
843C2×Dic47C22×D411yescharacteristic
844C2×Dic47C22×D411yescharacteristic
845D188—21no—
846D188—21no—
847D188—41no—
848D188—41no—
849D188—81no—
850C4×D47—21no—
851C4×D47—21no—
852C4×D47—21no—
853C4×D47—21no—
854C4×D47—21no—
855C4×D47—21no—
856C4×D47—41no—
857C4×D47—41no—
858C4×D47—42no—
859C4×D47—81no—
860C4×D47—81no—
861Dic94—21no—
862Dic94—21no—
863Dic94—21no—
864Dic94—21no—
865Dic94—21no—
866Dic94—41no—
867Dic94—42no—
868Dic94—81no—
869Dic94—81no—
870Dic94H(5,𝔽2)12yes—
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#61640—471nomaximal, Sylow
880C22×C47—21no—
881C22×C47—21no—
882C22×C47—21no—
883C22×C47—22no—
884C22×C47—21no—
885C22×C47—21no—
886C22×C47—41no—
887C22×C47—41no—
888C22×C47—41no—
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—84no—
898C22×C47—162no—
899C22×C47#57712yes—
900C22×C47C23×D411yescharacteristic
901C2×D47—21no—
902C2×D47—21no—
903C2×D47—21no—
904C2×D47—21no—
905C2×D47—21no—
906C2×D47—21no—
907C2×D47—21no—
908C2×D47—21no—
909C2×D47—21no—
910C2×D47—41no—
911C2×D47—41no—
912C2×D47—41no—
913C2×D47—82no—
914C2×D47—162no—
915C2×D47—162no—
916C4×C47—21no—
917C4×C47—21no—
918C4×C47—21no—
919C4×C47—21no—
920C4×C47—41no—
921C4×C47—41no—
922C4×C47—41no—
923C4×C47—41no—
924C4×C47C2×H(5,𝔽2)11yescharacteristic
925C4×C47C2×H(5,𝔽2)11yescharacteristic
926Dic47—21no—
927Dic47—22no—
928Dic47—21no—
929Dic47—21no—
930Dic47—21no—
931Dic47—21no—
932Dic47—41no—
933Dic47—41no—
934Dic47—41no—
935Dic47—41no—
936Dic47—41no—
937Dic47—41no—
938#3541—471no—
939#3488—471no—
940#3318—471no—
941#3317—471no—
942#3316—471no—
943#3311—471no—
944#3304—471no—
945#3301—471no—
946#3296—471no—
947#3295—471no—
948#3285—471no—
949#3284—471no—
950#3282—471no—
951D4×SD16—471no—
952#3271—471no—
953#3270—471no—
954#3267—471no—
955#3265D4711yescharacteristic, complemented
956#3224—471no—
957#3222—471no—
958#3204—471no—
959#3201—471no—
960#3188—471no—
961#3187—471no—
962#3125—471no—
963#3120—471no—
964#3012—471no—
965#3009—471no—
966#3002—471no—
967C2×#452—471no—
968#2977—471no—
969C2×C47—22no—
970C2×C47—42no—
971C2×C47—41no—
972C2×C47—81no—
973C2×C47—81no—
974C2×C47—81no—
975C2×C47#348411yescharacteristic
976C2×C47C2×#57711yescharacteristic
977C2×C47#358411yescharacteristic
978D47—41no—
979D47—41no—
980D47—41no—
981D47—81no—
982C2×H(5,𝔽2)—471no—
983C22×#41—471no—
984C2×#137—471no—
985C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
986C2×#135—471no—
987C2×#135—471no—
988C2×#135—471no—
989C22×Q16—471no—
990C22×SD16—471no—
991C22×SD16C2×D4711yescharacteristic, complemented
992#563—941no—
993#562—941no—
994#556—471no—
995#554—471no—
996#554—941no—
997#553—471no—
998#553—941no—
999#552—471no—
1000#550—471no—
1001#550—471no—
1002D4×Q8—471no—
1003#548—471no—
1004#548—471no—
1005#548—471no—
1006#548C2×D4711yescharacteristic, complemented
1007#547—471no—
1008#546—471no—
1009#546—471no—
1010#546—941no—
1011#546—941no—
1012D42—471no—
1013D42—941no—
1014D42—941no—
1015D42C2×D4711yescharacteristic
1016#542—471no—
1017#542—941no—
1018#541—471no—
1019#539—941no—
1020#538—941no—
1021#538—941no—
1022#537—471no—
1023#537—471no—
1024#537—941no—
1025#536—471no—
1026#535—471no—
1027#535—941no—
1028#525—471no—
1029#525—471no—
1030#525—941no—
1031C2×C22⋊Q8—471no—
1032C2×#121—471no—
1033C2×#121—941no—
1034#520—471no—
1035#497—471no—
1036#496C2×D4711yescharacteristic, complemented
1037#495—471no—
1038#492—471no—
1039#490—471no—
1040#489—471no—
1041#488—471no—
1042#486—471no—
1043#485—471no—
1044#484—471no—
1045#483—471no—
1046#483—471no—
1047#483—471no—
1048#482—471no—
1049#482—471no—
1050#482—471no—
1051#481—471no—
1052#481—471no—
1053#481—471no—
1054#481—471no—
1055#479—471no—
1056#478—471no—
1057#476—471no—
1058#475—471no—
1059#470—471no—
1060#470—471no—
1061#469—471no—
1062#468C2×D4711yescharacteristic, complemented
1063#467—471no—
1064#466—471no—
1065#466C2×D4711yescharacteristic, complemented
1066#465—471no—
1067#465—471no—
1068#465—471no—
1069#465—471no—
1070#465—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#463C2×D4711yescharacteristic, complemented
1081#462—471no—
1082#461—471no—
1083#460—471no—
1084#460—471no—
1085#460C2×D4711yescharacteristic, complemented
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#450—471no—
1106#450—471no—
1107#450—471no—
1108#450—471no—
1109#450C2×D4711yescharacteristic, complemented
1110#449—471no—
1111#449—471no—
1112#449—471no—
1113#449—471no—
1114#449—471no—
1115#449C2×D4711yescharacteristic, complemented
1116#448—471no—
1117#448—471no—
1118#448—471no—
1119#448C2×D4711yescharacteristic, complemented
1120#447—471no—
1121#447—471no—
1122#447C2×D4711yescharacteristic, complemented
1123#442—471no—
1124#441—471no—
1125#441—471no—
1126#440C2×D4711yescharacteristic, complemented
1127C4×Q16—471no—
1128C4×SD16—471no—
1129C4×SD16—471no—
1130C4×SD16—471no—
1131#435—471no—
1132#435—471no—
1133#435—471no—
1134#435C2×D4711yescharacteristic, complemented
1135C8×D4—471no—
1136C8×D4—471no—
1137C8×D4—471no—
1138C8×D4—471no—
1139#433—471no—
1140#433—471no—
1141#418—471no—
1142#417—471no—
1143#416—471no—
1144#416—471no—
1145#416—471no—
1146C2×#103—471no—
1147C2×#102—471no—
1148C2×#102—471no—
1149#408—471no—
1150#408—471no—
1151C2×C22⋊C8—471no—
1152C2×C22⋊C8—471no—
1153C47#6164011yescharacteristic, complemented, Sylow
1154H(5,𝔽2)—1882no—
1155H(5,𝔽2)—1882no—
1156C2×#41—471no—
1157C2×#41—471no—
1158C2×#41—471no—
1159C2×#41—471no—
1160C2×#41—471no—
1161C2×#41—471no—
1162C2×#41—471no—
1163C2×#41—471no—
1164C2×#41—941no—
1165C2×#41—941no—
1166C2×#41—941no—
1167C2×#41—1882no—
1168C2×#41—1882no—
1169C2×#41C22×D4711yescharacteristic
1170C22×Q8—471no—
1171C22×Q8—471no—
1172C22×Q8C22×D4711yescharacteristic
1173C22×D4—21no—
1174C22×D4—471no—
1175C22×D4—471no—
1176C22×D4—941no—
1177C22×D4—941no—
1178C22×D4—941no—
1179C22×D4—941no—
1180C22×D4—941no—
1181C22×D4—941no—
1182C22×D4C22×D4711yescharacteristic
1183C22×D4C22×D4711yescharacteristic
1184C23×C4—471no—
1185C23×C4—941no—
1186#137—1882no—
1187AGL(1,ℤ/8)—42no—
1188#135—1882no—
1189#135—1882no—
1190#135—1882no—
1191C2×Q16—471no—
1192C2×Q16—471no—
1193C2×Q16—471no—
1194C2×Q16—471no—
1195C2×Q16—471no—
1196C2×Q16—471no—
1197C2×Q16—1882no—
1198C2×SD16—42no—
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×SD16C22×D4711yescharacteristic
1213C2×SD16C22×D4711yescharacteristic
1214C2×D8—471no—
1215C2×D8C22×D4711yescharacteristic
1216C2×D8C22×D4711yescharacteristic
1217C2×D8C22×D4711yescharacteristic
1218C2×M16—471no—
1219C2×M16C22×D4711yescharacteristic
1220C22×C8—471no—
1221C22×C8—471no—
1222C22×C8—471no—
1223C22×C8—471no—
1224C22×C8—471no—
1225C22×C8C22×D4711yescharacteristic
1226C4⋊Q8—471no—
1227C4⋊Q8—471no—
1228C4⋊Q8—941no—
1229C4⋊Q8—941no—
1230#127—471no—
1231#127—941no—
1232#127—941no—
1233#127C22×D4711yescharacteristic
1234#126—941no—
1235#126—941no—
1236#126—941no—
1237#126—941no—
1238#126—941no—
1239#126—941no—
1240#126—941no—
1241#125—471no—
1242#125—941no—
1243#125—941no—
1244#125—941no—
1245#125—941no—
1246#124—21no—
1247#124—471no—
1248#124—471no—
1249#124—941no—
1250#124—941no—
1251#124—941no—
1252#124—941no—
1253#124—941no—
1254#124—941no—
1255#124C22×D4711yescharacteristic
1256#123—471no—
1257#123—471no—
1258#123—941no—
1259#123—941no—
1260#123—941no—
1261#123—941no—
1262#123—941no—
1263#123—941no—
1264#123—941no—
1265#123—941no—
1266#123—941no—
1267#123—941no—
1268C22⋊Q8—21no—
1269C22⋊Q8—471no—
1270C22⋊Q8—471no—
1271C22⋊Q8—471no—
1272C22⋊Q8—471no—
1273C22⋊Q8—471no—
1274C22⋊Q8—471no—
1275C22⋊Q8—471no—
1276C22⋊Q8—471no—
1277C22⋊Q8—471no—
1278C22⋊Q8—471no—
1279C22⋊Q8—471no—
1280C22⋊Q8—471no—
1281C22⋊Q8—941no—
1282C22⋊Q8—941no—
1283C22⋊Q8—941no—
1284C22⋊Q8—941no—
1285C22⋊Q8—941no—
1286C22⋊Q8—941no—
1287C22⋊Q8—941no—
1288C22⋊Q8—941no—
1289C22⋊Q8—941no—
1290C22⋊Q8—941no—
1291C22⋊Q8—941no—
1292C22⋊Q8—941no—
1293C22⋊Q8C22×D4711yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—471no—
1297#121—471no—
1298#121—471no—
1299#121—471no—
1300#121—471no—
1301#121—471no—
1302#121—471no—
1303#121—471no—
1304#121—941no—
1305#121—941no—
1306#121—941no—
1307#121—941no—
1308#121—941no—
1309#121—941no—
1310#121—941no—
1311#121—941no—
1312#121—941no—
1313#121—941no—
1314#121—941no—
1315#121—941no—
1316#121—941no—
1317#121—941no—
1318#121—941no—
1319#121—941no—
1320#121—941no—
1321#121—941no—
1322#121—941no—
1323#121—941no—
1324#121—941no—
1325#121—941no—
1326#121C22×D4711yescharacteristic
1327#121C22×D4711yescharacteristic
1328#121C22×D4711yescharacteristic
1329#120—21no—
1330#120—21no—
1331#120—471no—
1332#120—471no—
1333#120—941no—
1334#120—941no—
1335#120—941no—
1336#120—941no—
1337#120—941no—
1338#120—941no—
1339#120—941no—
1340C4×Q8—471no—
1341C4×Q8—471no—
1342C4×Q8—471no—
1343C4×Q8—471no—
1344C4×Q8—941no—
1345C4×Q8C22×D4711yescharacteristic
1346C4×D4—21no—
1347C4×D4—471no—
1348C4×D4—471no—
1349C4×D4—471no—
1350C4×D4—471no—
1351C4×D4—471no—
1352C4×D4—941no—
1353C4×D4—941no—
1354C4×D4—941no—
1355C4×D4—941no—
1356C4×D4—941no—
1357C4×D4—941no—
1358C4×D4—941no—
1359C4×D4—941no—
1360C4×D4—941no—
1361C4×D4—941no—
1362C4×D4—941no—
1363C4×D4—941no—
1364C4×D4C22×D4711yescharacteristic
1365C4×D4C22×D4711yescharacteristic
1366#117—471no—
1367#117—471no—
1368#117—471no—
1369#117—941no—
1370#117—941no—
1371C2×C4⋊C4—471no—
1372C2×C4⋊C4—471no—
1373C2×C4⋊C4—471no—
1374C2×C4⋊C4—941no—
1375C2×C4⋊C4—941no—
1376C2×C4⋊C4—941no—
1377C2×C22⋊C4—941no—
1378C2×C22⋊C4—941no—
1379C2×C22⋊C4—941no—
1380C2×C22⋊C4—941no—
1381#107—471no—
1382#107C22×D4711yescharacteristic
1383#106—471no—
1384#106—471no—
1385#106—471no—
1386#106—471no—
1387#106—471no—
1388#106—471no—
1389C4⋊C8—471no—
1390C4⋊C8—471no—
1391C4⋊C8—471no—
1392C4⋊C8C22×D4711yescharacteristic
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#102—471no—
1408#102—471no—
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⋊C8—471no—
1434C22⋊C8—471no—
1435C22⋊C8C22×D4711yescharacteristic
1436C22⋊C8C22×D4711yescharacteristic
1437#97—471no—
1438#97C22×D4711yescharacteristic
1439C4×C8—471no—
1440C4×C8—471no—
1441C24—21no—
1442C24—21no—
1443C24—471no—
1444C24—941no—
1445C24—941no—
1446#41—41no—
1447#41—41no—
1448#41—942no—
1449#41—942no—
1450#41—942no—
1451#41—942no—
1452#41—942no—
1453#41—942no—
1454#41—1881no—
1455#41—1881no—
1456#41—1881no—
1457#41—1881no—
1458#41—1881no—
1459#41—1881no—
1460#41—1881no—
1461#41—1881no—
1462#41—1881no—
1463#41—1881no—
1464#41—1884no—
1465#41—1884no—
1466#41—1884no—
1467C2×Q8—21no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—471no—
1471C2×Q8—471no—
1472C2×Q8—471no—
1473C2×Q8—471no—
1474C2×Q8—941no—
1475C2×Q8—942no—
1476C2×Q8—941no—
1477C2×Q8—941no—
1478C2×Q8—1881no—
1479C2×Q8—1881no—
1480C2×Q8—1881no—
1481C2×Q8C23×D4711yescharacteristic
1482C2×Q8C23×D4711yescharacteristic
1483C2×D4—22no—
1484C2×D4—22no—
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—82no—
1496C2×D4—471no—
1497C2×D4—471no—
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—941no—
1508C2×D4—941no—
1509C2×D4—942no—
1510C2×D4—941no—
1511C2×D4—941no—
1512C2×D4—941no—
1513C2×D4—941no—
1514C2×D4—941no—
1515C2×D4—941no—
1516C2×D4—941no—
1517C2×D4—941no—
1518C2×D4—941no—
1519C2×D4—941no—
1520C2×D4—941no—
1521C2×D4—3762no—
1522C2×D4—3762no—
1523C2×D4—1881no—
1524C2×D4—1881no—
1525C2×D4—1881no—
1526C2×D4—1884no—
1527C2×D4—1884no—
1528C2×D4—1884no—
1529C2×D4—1884no—
1530C2×D4D4×D4711yescharacteristic
1531C2×D4C23×D4711yescharacteristic
1532C2×D4C23×D4711yescharacteristic
1533C2×D4C23×D4711yescharacteristic
1534C2×D4C23×D4711yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—471no—
1539C22×C4—471no—
1540C22×C4—471no—
1541C22×C4—471no—
1542C22×C4—471no—
1543C22×C4—471no—
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—941no—
1555C22×C4—941no—
1556C22×C4—941no—
1557C22×C4—941no—
1558C22×C4—1881no—
1559C22×C4—1881no—
1560C22×C4—1884no—
1561C22×C4C23×D4711yescharacteristic
1562C22×C4C23×D4711yescharacteristic
1563Q16—942no—
1564Q16—942no—
1565Q16—942no—
1566Q16—1881no—
1567Q16—1881no—
1568Q16—1881no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—41no—
1574SD16—41no—
1575SD16—942no—
1576SD16—942no—
1577SD16—1881no—
1578SD16—1881no—
1579SD16—1881no—
1580SD16—1881no—
1581SD16—1881no—
1582SD16—1881no—
1583D8—22no—
1584D8—41no—
1585D8—41no—
1586D8—1881no—
1587M16—41no—
1588M16—1881no—
1589C2×C8—41no—
1590C2×C8—471no—
1591C2×C8—471no—
1592C2×C8—471no—
1593C2×C8—471no—
1594C2×C8—1881no—
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—21no—
1605C4⋊C4—471no—
1606C4⋊C4—471no—
1607C4⋊C4—471no—
1608C4⋊C4—471no—
1609C4⋊C4—471no—
1610C4⋊C4—471no—
1611C4⋊C4—471no—
1612C4⋊C4—471no—
1613C4⋊C4—471no—
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⋊C4—941no—
1634C4⋊C4—941no—
1635C4⋊C4—941no—
1636C4⋊C4D4×D4711yescharacteristic
1637C4⋊C4C23×D4711yescharacteristic
1638C4⋊C4C23×D4711yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—471no—
1647C22⋊C4—471no—
1648C22⋊C4—471no—
1649C22⋊C4—471no—
1650C22⋊C4—471no—
1651C22⋊C4—471no—
1652C22⋊C4—471no—
1653C22⋊C4—471no—
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—
1678C22⋊C4D4×D4711yescharacteristic
1679C22⋊C4D4×D4711yescharacteristic
1680C42—21no—
1681C42—471no—
1682C42—941no—
1683C42—941no—
1684C42—941no—
1685C42—941no—
1686C42—941no—
1687C42—941no—
1688C42C23×D4711yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—42no—
1694C23—42no—
1695C23—42no—
1696C23—81no—
1697C23—81no—
1698C23—81no—
1699C23—471no—
1700C23—471no—
1701C23—471no—
1702C23—942no—
1703C23—941no—
1704C23—3761no—
1705C23—3761no—
1706C23—3761no—
1707C23—3761no—
1708C23—1881no—
1709C23—1881no—
1710C23—1882no—
1711C23—1882no—
1712C23C2×D4×D4711yescharacteristic
1713C23C2×D4×D4711yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—81no—
1719Q8—472no—
1720Q8—941no—
1721Q8—941no—
1722Q8—941no—
1723Q8—941no—
1724Q8—941no—
1725Q8—3761no—
1726Q8—3761no—
1727Q8—1881no—
1728Q8—1882no—
1729D4—22no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—42no—
1738D4—42no—
1739D4—42no—
1740D4—42no—
1741D4—81no—
1742D4—81no—
1743D4—81no—
1744D4—81no—
1745D4—944no—
1746D4—942no—
1747D4—941no—
1748D4—941no—
1749D4—3761no—
1750D4—3761no—
1751D4—3761no—
1752D4—3761no—
1753D4—3761no—
1754D4—3761no—
1755D4—3761no—
1756D4—3761no—
1757D4—1881no—
1758D4—1881no—
1759D4—1881no—
1760D4—1881no—
1761D4—1881no—
1762D4—1882no—
1763D4—1882no—
1764D4—1882no—
1765D4—1882no—
1766D4—1882no—
1767D4—1882no—
1768D4—1882no—
1769D4—1882no—
1770D4#1309406912yes—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4—81no—
1782C2×C4—471no—
1783C2×C4—471no—
1784C2×C4—471no—
1785C2×C4—471no—
1786C2×C4—471no—
1787C2×C4—944no—
1788C2×C4—941no—
1789C2×C4—941no—
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—1881no—
1812C2×C4—1882no—
1813C2×C4—1882no—
1814C2×C4—1882no—
1815C2×C4—1882no—
1816C2×C4—1882no—
1817C2×C4C2×D4×D4711yescharacteristic
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—22no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—84no—
1848C22—162no—
1849C22—941no—
1850C22—941no—
1851C22—941no—
1852C22—941no—
1853C22—941no—
1854C22—941no—
1855C22—941no—
1856C22—941no—
1857C22—941no—
1858C22—3762no—
1859C22—1881no—
1860C22—1881no—
1861C22—1881no—
1862C22—7522no—
1863C22—7522no—
1864C22#1568993312yes—
1865C22C22×D4×D4711yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—941no—
1875C4—941no—
1876C4—941no—
1877C4—941no—
1878C4—941no—
1879C4—942no—
1880C4—1881no—
1881C4—1881no—
1882C4—1881no—
1883C4—1881no—
1884C4—1881no—
1885C4—1881no—
1886C4H(5,𝔽2)×D4711yescharacteristic
1887C4C2×#1309406911yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—42no—
1891C2—81no—
1892C2—81no—
1893C2—81no—
1894C2—3761no—
1895C2—1881no—
1896C2—1881no—
1897C2—1881no—
1898C2#2025701611yescharacteristic
1899C2C2×#1568993311yescharacteristic
1900C2#2025816011yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3265C2
socleC22×C47C23×D4
hypercenter#3265D47
hypocenterC47#61640
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #20257667C2semidirect
2. #20257048C2semidirect
3. #20255533C2semidirect
4. #20255509C2semidirect
5. #20255501C2semidirect
6. #20255429C2semidirect
7. #20255330C2semidirect
8. #20255296C2semidirect
9. #20255227C2semidirect
10. #20255212C2semidirect
11. #20255125C2semidirect
12. #20255116C2semidirect
13. #20255101C2semidirect
14. SD16×C22⋊D47C2semidirect
15. #20254972C2semidirect
16. #20254951C2semidirect
17. #20254907C2semidirect
18. #20254477C2semidirect
19. #20254459C2semidirect
20. #20254297C2semidirect
21. #20254265C2semidirect
22. #20254148C2semidirect
23. #20254143C2semidirect
24. #20253662C2semidirect
25. #20253606C2semidirect
26. #20252691C2semidirect
27. #20252660C2semidirect
28. #20252601C2semidirect
29. C2×#15689282C2semidirect
30. #20252439C2semidirect
31. C47×#3265C2semidirect
34. C2×#13094053C22semidirect
35. C2×#13094044C22semidirect
36. C2×#13094043C22semidirect
37. C2×#13094043C22semidirect
38. C22×#10625337C22semidirect
39. C2×SD16×D47C22semidirect
42. #15689846C22semidirect
44. #15689830C22semidirect
45. #15689825C22semidirect
47. #15689815C22semidirect
50. Q8×C22⋊D47C22semidirect
52. #15689781C22semidirect
54. #15689772C22semidirect
62. #15689742C22semidirect
64. #15689731C22semidirect
69. #15689701C22semidirect
71. #15689696C22semidirect
74. #15689633C22semidirect
77. C2×#13094000C22semidirect
81. #15689514C22semidirect
82. #15689505C22semidirect
83. #15689494C22semidirect
84. #15689486C22semidirect
85. #15689483C22semidirect
86. #15689476C22semidirect
87. #15689469C22semidirect
88. #15689466C22semidirect
89. #15689460C22semidirect
90. #15689454C22semidirect
91. #15689452C22semidirect
92. #15689452C22semidirect
93. #15689450C22semidirect
94. #15689446C22semidirect
95. #15689446C22semidirect
96. #15689442C22semidirect
97. #15689440C22semidirect
98. #15689439C22semidirect
99. #15689439C22semidirect
100. #15689429C22semidirect
101. #15689425C22semidirect
102. #15689413C22semidirect
103. #15689409C22semidirect
104. #15689381C22semidirect
105. #15689380C22semidirect
106. #15689373C22semidirect
107. #15689362C22semidirect
108. #15689357C22semidirect
109. #15689355C22semidirect
110. #15689355C22semidirect
111. #15689352C22semidirect
112. #15689351C22semidirect
113. #15689350C22semidirect
114. #15689350C22semidirect
115. #15689349C22semidirect
116. #15689349C22semidirect
117. #15689349C22semidirect
118. #15689346C22semidirect
119. #15689345C22semidirect
120. #15689343C22semidirect
121. #15689342C22semidirect
122. #15689336C22semidirect
123. #15689332C22semidirect
124. #15689326C22semidirect
125. #15689321C22semidirect
126. #15689320C22semidirect
127. #15689316C22semidirect
128. #15689287C22semidirect
130. #15689286C22semidirect
131. #15689285C22semidirect
132. #15689283C22semidirect
135. #15689282C22semidirect
136. #15689282C22semidirect
137. #15689282C22semidirect
138. #15689282C22semidirect
139. #15689282C22semidirect
140. #15689282C22semidirect
141. #15689282C22semidirect
142. #15689281C22semidirect
143. #15689280C22semidirect
144. #15689275C22semidirect
145. #15689274C22semidirect
146. #15689274C22semidirect
147. #15689272C22semidirect
148. #15689272C22semidirect
149. #15689272C22semidirect
150. #15689269C22semidirect
152. #15689265C22semidirect
153. #15689265C22semidirect
154. #15689265C22semidirect
155. #15689262C22semidirect
156. #15689261C22semidirect
157. #15689260C22semidirect
158. #15689255C22semidirect
159. #15689255C22semidirect
160. #15689235C22semidirect
161. #15689231C22semidirect
162. #15689227C22semidirect
163. C4×#10625337C22semidirect
164. #15689214C22semidirect
165. SD16×Dic47C22semidirect
166. C4×#10625335C22semidirect
167. #15689196C22semidirect
168. #15689192C22semidirect
169. #15689191C22semidirect
170. D4×C47⋊C8C22semidirect
171. #15689188C22semidirect
172. C8×C22⋊D47C22semidirect
173. (C22⋊D47)⋊C8C22semidirect
174. #15689185C22semidirect
175. #15689183C22semidirect
176. #15689126C22semidirect
177. #15689125C22semidirect
178. #15689116C22semidirect
179. #15689116C22semidirect
180. #15689116C22semidirect
181. C2×#13093949C22semidirect
182. C2×#13093945C22semidirect
183. C2×#13093945C22semidirect
184. #15689091C22semidirect
185. #15689088C22semidirect
186. C2×(C2×D47)⋊C8C22semidirect
187. C22⋊C8×D47C22semidirect
188. C2×AGL(1,ℤ/8)×C47C22semidirect
189. C22×SD16×C47C22semidirect
190. C47×#548C22semidirect
192. C47×#496C22semidirect
193. C47×#468C22semidirect
194. C47×#466C22semidirect
195. C47×#463C22semidirect
196. C47×#460C22semidirect
197. C47×#450C22semidirect
198. C47×#449C22semidirect
199. C47×#448C22semidirect
200. C47×#447C22semidirect
201. C47×#440C22semidirect
202. C47×#435C22semidirect
955. #3265D47semidirect
985. C2×AGL(1,ℤ/8)C2×D47semidirect
991. C22×SD16C2×D47semidirect
1006. #548C2×D47semidirect
1036. #496C2×D47semidirect
1062. #468C2×D47semidirect
1065. #466C2×D47semidirect
1080. #463C2×D47semidirect
1085. #460C2×D47semidirect
1109. #450C2×D47semidirect
1115. #449C2×D47semidirect
1119. #448C2×D47semidirect
1122. #447C2×D47semidirect
1126. #440C2×D47semidirect
1134. #435C2×D47semidirect
1153. C47#61640semidirect

Maximal subgroups

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

subgroupindex
#202576672
#202570482
#202555332
#202555092
#202555012
#202554292
#202553302
#202552962
#202552272
#202552122
#202551252
#202551162
#202551012
SD16×C22⋊D472
#202549722
#202549512
#202549072
#202544772
#202544592
#202542972
#202542652
#202541482
#202541432
#202536622
#202536062
#202526912
#202526602
#202526012
C2×#156892822
#202524392
C47×#32652
#6164047