Finite Group Databasebeta

← #27102516

Subgroups — #27102516

Order 12032.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257702C211yesmaximal, characteristic, complemented
2#20257056C211yesmaximal, characteristic, complemented
3#20255546C211yesmaximal, characteristic, complemented
4#20255404C211yesmaximal, characteristic, complemented
5#20255398C211yesmaximal, characteristic, complemented
6#20255384C211yesmaximal, characteristic, complemented
7#20255338C211yesmaximal, characteristic, complemented
8#20255268C211yesmaximal, characteristic, complemented
9#20255233C211yesmaximal, characteristic, complemented
10#20255204C211yesmaximal, characteristic, complemented
11#20255142C211yesmaximal, characteristic, complemented
12#20255090C211yesmaximal, characteristic, complemented
13#20255069C211yesmaximal, characteristic, complemented
14#20255058C211yesmaximal, characteristic, complemented
15#20254921C211yesmaximal, characteristic, complemented
16#20254877C211yesmaximal, characteristic, complemented
17#20254867C211yesmaximal, characteristic, complemented
18#20254477C211yesmaximal, characteristic, complemented
19#20254437C211yesmaximal, characteristic, complemented
20#20254286C211yesmaximal, characteristic, complemented
21#20254236C211yesmaximal, characteristic, complemented
22#20254151C211yesmaximal, characteristic, complemented
23#20254135C211yesmaximal, characteristic, complemented
24#20253649C211yesmaximal, characteristic, complemented
25#20253585C211yesmaximal, characteristic, complemented
26#20252696C211yesmaximal, characteristic, complemented
27#20252655C211yesmaximal, characteristic, complemented
28#20252602C211yesmaximal, characteristic, complemented
29#449×D47C211yesmaximal, characteristic, complemented
30#20252439C211yesmaximal, characteristic, complemented
31C47×#3268C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic, complemented
33C2×#41×D47C2211yescharacteristic, complemented
34C2×#13094051C2211yescharacteristic, complemented
35C2×#13094047C2211yescharacteristic, complemented
36C2×#13094044C2211yescharacteristic, complemented
37C2×SD16×D47C2211yescharacteristic, complemented
38C22×#10625334C2211yescharacteristic, complemented
39C2×D8×D47C2211yescharacteristic, complemented
40#15689868—21no—
41#15689862—21no—
42#15689838C2211yescharacteristic, complemented
43#15689820C2211yescharacteristic, complemented
44#15689807C2211yescharacteristic, complemented
45#15689801—21no—
46#15689792C2211yescharacteristic, complemented
47#15689792C2211yescharacteristic, complemented
48#15689785C2211yescharacteristic, complemented
49#15689780C2211yescharacteristic
50#15689778C2211yescharacteristic, complemented
51#15689770—21no—
52#15689770C2211yescharacteristic, complemented
53#15689769—21no—
54#15689769C2211yescharacteristic, complemented
55#15689766C2211yescharacteristic, complemented
56#15689763—21no—
57#15689758—21no—
58#15689758C2211yescharacteristic, complemented
59#15689757—21no—
60#15689757C2211yescharacteristic
61D4×C22⋊D47C2211yescharacteristic, complemented
62#15689742C2211yescharacteristic, complemented
63#15689725—21no—
64#15689724C2211yescharacteristic, complemented
65#15689711—21no—
66#15689703C2211yescharacteristic, complemented
67#15689702—21no—
68#15689702C2211yescharacteristic, complemented
69#15689690C2211yescharacteristic, complemented
70#15689689—21no—
71#15689686—21no—
72#15689686C2211yescharacteristic, complemented
73#15689683—21no—
74#15689632—21no—
75#15689632C2211yescharacteristic
76#15689630C2211yescharacteristic, complemented
77#121×D47—21no—
78#121×D47C2211yescharacteristic, complemented
79#121×D47C2211yescharacteristic, complemented
80#15689605C2211yescharacteristic, complemented
81#15689511C2211yescharacteristic, complemented
82#15689505C2211yescharacteristic, complemented
83#15689498C2211yescharacteristic, complemented
84#15689486C2211yescharacteristic, complemented
85#15689483C2211yescharacteristic, complemented
86#15689476C2211yescharacteristic, complemented
87#15689469C2211yescharacteristic, complemented
88#15689465C2211yescharacteristic, complemented
89#15689460C2211yescharacteristic, complemented
90#15689457C2211yescharacteristic, complemented
91#15689448C2211yescharacteristic, complemented
92#15689444C2211yescharacteristic, complemented
93#15689444C2211yescharacteristic, complemented
94#15689440C2211yescharacteristic, complemented
95#15689438C2211yescharacteristic, complemented
96#15689438C2211yescharacteristic, complemented
97#15689435C2211yescharacteristic, complemented
98#15689435C2211yescharacteristic, complemented
99#15689435C2211yescharacteristic, complemented
100#15689428C2211yescharacteristic, complemented
101#15689426C2211yescharacteristic, complemented
102#15689418C2211yescharacteristic, complemented
103#15689404C2211yescharacteristic, complemented
104#15689373C2211yescharacteristic, complemented
105#15689369C2211yescharacteristic, complemented
106#15689368C2211yescharacteristic, complemented
107#15689362C2211yescharacteristic, complemented
108#15689359C2211yescharacteristic, complemented
109#15689358C2211yescharacteristic, complemented
110#15689357C2211yescharacteristic, complemented
111#15689357C2211yescharacteristic, complemented
112#15689357C2211yescharacteristic, complemented
113#15689356C2211yescharacteristic, complemented
114#15689356C2211yescharacteristic, complemented
115#15689355C2211yescharacteristic, complemented
116#15689351C2211yescharacteristic, complemented
117#15689349C2211yescharacteristic, complemented
118#15689343C2211yescharacteristic, complemented
119#15689339C2211yescharacteristic, complemented
120#15689338C2211yescharacteristic, complemented
121#15689336C2211yescharacteristic, complemented
122#15689335C2211yescharacteristic, complemented
123#15689321C2211yescharacteristic, complemented
124#15689321C2211yescharacteristic, complemented
125#15689317C2211yescharacteristic, complemented
126#15689316C2211yescharacteristic, complemented
127#15689315C2211yescharacteristic, complemented
128#15689288C2211yescharacteristic, complemented
129#15689284C2211yescharacteristic, complemented
130#15689282C2211yescharacteristic, complemented
131#15689277C2211yescharacteristic, complemented
132#15689274C2211yescharacteristic, complemented
133#15689273C2211yescharacteristic, complemented
134#15689272C2211yescharacteristic, complemented
135#15689272C2211yescharacteristic, complemented
136#15689271C2211yescharacteristic, complemented
137#15689270C2211yescharacteristic, complemented
138#15689269C2211yescharacteristic, complemented
139#15689268C2211yescharacteristic, complemented
140#15689268C2211yescharacteristic, complemented
141#15689268C2211yescharacteristic, complemented
142#15689267C2211yescharacteristic
143#15689267C2211yescharacteristic, complemented
144#15689267C2211yescharacteristic, complemented
145#15689267C2211yescharacteristic, complemented
146#15689267C2211yescharacteristic, complemented
147#15689266C2211yescharacteristic, complemented
148#15689265C2211yescharacteristic, complemented
149#15689265C2211yescharacteristic, complemented
150#15689260C2211yescharacteristic, complemented
151#15689259C2211yescharacteristic, complemented
152#15689258C2211yescharacteristic, complemented
153#15689258C2211yescharacteristic, complemented
154#15689255C2211yescharacteristic, complemented
155#15689255C2211yescharacteristic, complemented
156#15689255C2211yescharacteristic, complemented
157#15689255C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689236C2211yescharacteristic, complemented
161#15689226C2211yescharacteristic, complemented
162#15689224C2211yescharacteristic, complemented
163Q16×Dic47C2211yescharacteristic, complemented
164C4×#10625336C2211yescharacteristic, complemented
165C4×#10625334C2211yescharacteristic, complemented
166#15689203C2211yescharacteristic, 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#15689129C2211yescharacteristic, complemented
177#15689123C2211yescharacteristic, complemented
178#15689120C2211yescharacteristic, complemented
179#15689119C2211yescharacteristic, complemented
180#15689119C2211yescharacteristic, complemented
181#103×D47C2211yescharacteristic, complemented
182#102×D47C2211yescharacteristic, complemented
183#102×D47C2211yescharacteristic, complemented
184#15689091C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
189C2×#135×C47C2211yescharacteristic, complemented
190C47×#550C2211yescharacteristic, complemented
191C47×#546C2211yescharacteristic, complemented
192C47×#496C2211yescharacteristic, complemented
193C47×#468C2211yescharacteristic, complemented
194C47×#466C2211yescharacteristic, complemented
195C47×#464C2211yescharacteristic, complemented
196C47×#459C2211yescharacteristic, complemented
197C47×#452C2211yescharacteristic, complemented
198C47×#449C2211yescharacteristic, complemented
199C47×#449C2211yescharacteristic, complemented
200C47×#447C2211yescharacteristic, complemented
201C47×#440C2211yescharacteristic, complemented
202C47×#435C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625354C2311yescharacteristic
207C2×#10625354C2311yescharacteristic
208C2×#10625350—21no—
209C2×#10625350—21no—
210C2×#10625350—21no—
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625352—21no—
214C2×#10625352C2311yescharacteristic
215#41×D47—42no—
216#41×D47—42no—
217C2×Q8×D47C2311yescharacteristic
218C22×D188—21no—
219C22×D188C2311yescharacteristic
220C22×C22⋊D47—21no—
221C2×D4×D47—21no—
222C2×D4×D47—21no—
223C2×D4×D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47—21no—
228C2×D4×D47C2311yescharacteristic
229C2×D4×D47C2311yescharacteristic
230C2×D4×D47C2311yescharacteristic
231C2×D4×D47C2311yescharacteristic
232C22×C4×D47—21no—
233C22×C4×D47C2311yescharacteristic
234#13094051—42no—
235#13094047—42no—
236#13094044—42no—
237C2×#10625337C2311yescharacteristic
238C2×#10625325C2311yescharacteristic
239C2×#10625335C2311yescharacteristic
240C2×#10625335C2311yescharacteristic
241C2×#10625336C2311yescharacteristic
242C2×#10625336C2311yescharacteristic
243C2×#10625336C2311yescharacteristic
244SD16×D47—42no—
245C2×D376C2311yescharacteristic
246C2×D376C2311yescharacteristic
247C2×#10625334—42no—
248C2×#10625334C2311yescharacteristic
249C2×#10625334C2311yescharacteristic
250C2×#10625334C2311yescharacteristic
251C2×#10625334C2311yescharacteristic
252C2×#10625334C2311yescharacteristic
253C2×#10625334C2311yescharacteristic
254D8×D47—42no—
255C2×#10625324C2311yescharacteristic
256C22×C47⋊C8C2311yescharacteristic
257C22×C47⋊C8C2311yescharacteristic
258C2×C8×D47C2311yescharacteristic
259C2×C8×D47C2311yescharacteristic
260C2×C8×D47C2311yescharacteristic
261#13094024C2311yescharacteristic
262#13094020—21no—
263#13094020—21no—
264#13094020—21no—
265#13094020C2311yescharacteristic
266#13094020C2311yescharacteristic
267#13094017—21no—
268#13094017—21no—
269#13094017—21no—
270#13094015C2311yescharacteristic
271#13094014—21no—
272#13094012—21no—
273#13094012C2311yescharacteristic
274#13094011—21no—
275#13094011—21no—
276#13094011C2311yescharacteristic
277#13094010—21no—
278#13094010—21no—
279#13094010—21no—
280#13094009—21no—
281#13094009D411yescharacteristic
282#13094008—21no—
283#13094007—21no—
284#13094006—21no—
285#13094006—21no—
286#13094006—21no—
287#13094006—21no—
288#13094006—21no—
289#13094006—21no—
290#13094006D411yescharacteristic
291#13094005—21no—
292#13094005—21no—
293#13094004—21no—
294#13094004C2311yescharacteristic
295#13094003—21no—
296#13094003—21no—
297#13094003C2311yescharacteristic
298#13094002—21no—
299#13094002D411yescharacteristic
300#13094001—21no—
301#13094001—21no—
302#13094001D411yescharacteristic
303#13094000C2311yescharacteristic
304#13094000C2311yescharacteristic
305#13093999—21no—
306#13093999—21no—
307#13093999C2311yescharacteristic
308#13093999C2311yescharacteristic
309#13093998—21no—
310#13093998—21no—
311#13093998—21no—
312#13093998C2311yescharacteristic
313#13093998C2311yescharacteristic
314#13093998C2311yescharacteristic
315#13093997—21no—
316#13093997—21no—
317#13093997—21no—
318#13093997—21no—
319#13093997—21no—
320#13093997—21no—
321#13093997—21no—
322#13093997—21no—
323#13093997—21no—
324#13093997D411yescharacteristic
325#13093996—21no—
326#13093996—21no—
327#13093996—21no—
328#13093996—21no—
329#13093996—21no—
330#13093996—21no—
331#13093996D411yescharacteristic
332#13093995—21no—
333#13093995—21no—
334#13093995—21no—
335#13093995—21no—
336#13093995—21no—
337#13093995—21no—
338#13093995—21no—
339#13093995—21no—
340#13093995C2311yescharacteristic
341#13093995C2311yescharacteristic
342#13093995C2311yescharacteristic
343#13093995C2311yescharacteristic
344#13093995C2311yescharacteristic
345#13093995C2311yescharacteristic
346#13093995C2311yescharacteristic
347#13093994—21no—
348#13093994—21no—
349#13093994D411yescharacteristic
350#13093993—21no—
351#13093993—21no—
352#13093993—21no—
353#13093992—21no—
354#13093992—21no—
355#13093992—21no—
356#13093992—21no—
357#13093992—21no—
358#13093992—21no—
359#13093992—21no—
360#13093992—21no—
361#13093992—21no—
362#13093992D411yescharacteristic
363Q8×Dic47C2311yescharacteristic
364Q8×Dic47C2311yescharacteristic
365C4×D188—21no—
366C4×D188—21no—
367C4×D188C2311yescharacteristic
368C4×D188C2311yescharacteristic
369C4×D188C2311yescharacteristic
370D4×Dic47C2311yescharacteristic
371#13093986—21no—
372#13093986C2311yescharacteristic
373C4×C22⋊D47—21no—
374C4×C22⋊D47—21no—
375C4×C22⋊D47—21no—
376C4×C22⋊D47—21no—
377C4×C22⋊D47—21no—
378C4×C22⋊D47C2311yescharacteristic
379C4×C22⋊D47C2311yescharacteristic
380(C22⋊D47)⋊C4—21no—
381#13093983C2311yescharacteristic
382#13093983C2311yescharacteristic
383#13093982—21no—
384#13093982—21no—
385#13093981—21no—
386#13093981C2311yescharacteristic
387C4⋊C4×D47—21no—
388C4⋊C4×D47C2311yescharacteristic
389C4⋊C4×D47C2311yescharacteristic
390C4⋊C4×D47C2311yescharacteristic
391C22⋊C4×D47—21no—
392C22⋊C4×D47—21no—
393C22⋊C4×D47—21no—
394C22⋊C4×D47—21no—
395C22⋊C4×D47—21no—
396#13093958C2311yescharacteristic
397#13093958C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093957C2311yescharacteristic
400#13093957C2311yescharacteristic
401#13093956C2311yescharacteristic
402#13093955C2311yescharacteristic
403C4⋊(C47⋊C8)C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093947C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
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
446C2×#41×C47C2311yescharacteristic
447C2×#41×C47C2311yescharacteristic
448C22×D4×C47C2311yescharacteristic
449AGL(1,ℤ/8)×C47—42no—
450#135×C47—42no—
451C2×Q16×C47C2311yescharacteristic
452C2×SD16×C47C2311yescharacteristic
453C2×SD16×C47C2311yescharacteristic
454C2×SD16×C47C2311yescharacteristic
455C2×SD16×C47C2311yescharacteristic
456C2×D8×C47C2311yescharacteristic
457C2×D8×C47C2311yescharacteristic
458C2×D8×C47C2311yescharacteristic
459C2×D8×C47C2311yescharacteristic
460C2×M16×C47C2311yescharacteristic
461C22×C8×C47C2311yescharacteristic
462#127×C47—21no—
463#127×C47C2311yescharacteristic
464#124×C47C2311yescharacteristic
465#123×C47—21no—
466C22⋊Q8×C47C2311yescharacteristic
467#121×C47—21no—
468#121×C47—21no—
469#121×C47—21no—
470#121×C47C2311yescharacteristic
471#121×C47C2311yescharacteristic
472#121×C47C2311yescharacteristic
473#120×C47—21no—
474C4×Q8×C47C2311yescharacteristic
475C4×D4×C47—21no—
476C4×D4×C47C2311yescharacteristic
477C4×D4×C47C2311yescharacteristic
478C2×C22⋊C4×C47—21no—
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—
491C23×D47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47C2×D411yescharacteristic
497#41×C47—22no—
498#41×C47—22no—
499#41×C47—41no—
500#41×C47—41no—
501#41×C47—41no—
502#41×C47—41no—
503C2×Q8×C47C2411yescharacteristic
504C2×Q8×C47C2411yescharacteristic
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—21no—
513C2×D4×C47—21no—
514C2×D4×C47—41no—
515C2×D4×C47—41no—
516C2×D4×C47C2×D411yescharacteristic
517C2×D4×C47C2411yescharacteristic
518C2×D4×C47C2411yescharacteristic
519C2×D4×C47C2411yescharacteristic
520C2×D4×C47C2411yescharacteristic
521C22×C4×C47—21no—
522C22×C4×C47—21no—
523C22×C4×C47—21no—
524C22×C4×C47—21no—
525C22×C4×C47C2411yescharacteristic
526C22×C4×C47C2411yescharacteristic
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—21no—
542C2×C22⋊D47—21no—
543C2×C22⋊D47—21no—
544C2×C22⋊D47—21no—
545C2×C22⋊D47—21no—
546C2×C22⋊D47—21no—
547C2×C22⋊D47—82no—
548C2×C22⋊D47C2×D411yescharacteristic
549C2×C22⋊D47C2×D411yescharacteristic
550C2×C22⋊D47C2×D411yescharacteristic
551C2×C22⋊D47C2×D411yescharacteristic
552C22×Dic47—21no—
553C22×Dic47—21no—
554C22×Dic47C2×D411yescharacteristic
555#10625354—22no—
556#10625354—22no—
557#10625354—22no—
558#10625354—41no—
559#10625354—41no—
560#10625354—41no—
561Q8×D47—22no—
562Q8×D47—41no—
563#10625352—41no—
564#10625352—41no—
565#10625352—44no—
566D4×D47—22no—
567D4×D47—22no—
568D4×D47—41no—
569D4×D47—41no—
570D4×D47—41no—
571D4×D47—41no—
572D4×D47—41no—
573D4×D47—41no—
574D4×D47—44no—
575D4×D47—44no—
576D4×D47—44no—
577D4×D47—82no—
578D4×D47—82no—
579D4×D47—82no—
580D4×D47—82no—
581#10625350—22no—
582#10625350—41no—
583#10625350—41no—
584#10625350—41no—
585#10625350—44no—
586#10625350—44no—
587#10625350—82no—
588C2×D188—21no—
589C2×D188—22no—
590C2×D188—21no—
591C2×D188—21no—
592C2×D188—21no—
593C2×D188—21no—
594C2×D188—21no—
595C2×D188—41no—
596C2×D188—44no—
597C2×D188C2×D411yescharacteristic
598C2×D188C2×D411yescharacteristic
599C2×D188C2411yescharacteristic
600C2×D188C2411yescharacteristic
601C2×D188C2411yescharacteristic
602C2×C4×D47—21no—
603C2×C4×D47—21no—
604C2×C4×D47—21no—
605C2×C4×D47—21no—
606C2×C4×D47—21no—
607C2×C4×D47—21no—
608C2×C4×D47—21no—
609C2×C4×D47—21no—
610C2×C4×D47—21no—
611C2×C4×D47—21no—
612C2×C4×D47—21no—
613C2×C4×D47—41no—
614C2×C4×D47—41no—
615C2×C4×D47—44no—
616C2×C4×D47C2×D411yescharacteristic
617C2×C4×D47C2×D411yescharacteristic
618C2×C4×D47C2411yescharacteristic
619C2×C4×D47C2411yescharacteristic
620C2×C4×D47C2411yescharacteristic
621C2×Dic94—21no—
622C2×Dic94—21no—
623C2×Dic94C2×D411yescharacteristic
624C2×Dic94C2411yescharacteristic
625Q16×C47—22no—
626SD16×C47—22no—
627SD16×C47—22no—
628SD16×C47—41no—
629SD16×C47—41no—
630D8×C47—41no—
631D8×C47—41no—
632D8×C47—41no—
633D8×C47—41no—
634M16×C47—41no—
635C2×C8×C47—41no—
636C2×C8×C47C2411yescharacteristic
637C2×C8×C47C2411yescharacteristic
638C2×C8×C47C2411yescharacteristic
639C2×C8×C47C2411yescharacteristic
640C4⋊C4×C47—21no—
641C4⋊C4×C47—21no—
642C4⋊C4×C47C2×D411yescharacteristic
643C4⋊C4×C47C2411yescharacteristic
644C4⋊C4×C47C2411yescharacteristic
645C22⋊C4×C47—21no—
646C22⋊C4×C47—21no—
647C22⋊C4×C47—21no—
648C22⋊C4×C47—21no—
649C22⋊C4×C47—21no—
650C22⋊C4×C47—21no—
651C22⋊C4×C47—21no—
652C22⋊C4×C47C2×D411yescharacteristic
653C22⋊C4×C47C2×D411yescharacteristic
654C42×C47—21no—
655C42×C47C2411yescharacteristic
656C22⋊Dic47—21no—
657C22⋊Dic47—21no—
658C22⋊Dic47—21no—
659C22⋊Dic47—21no—
660C22⋊Dic47—21no—
661C22⋊Dic47—21no—
662C22⋊Dic47—21no—
663C22⋊Dic47—21no—
664C22⋊Dic47—21no—
665C22⋊Dic47—21no—
666C22⋊Dic47—21no—
667C22⋊Dic47—21no—
668C22⋊Dic47—21no—
669C22⋊Dic47C2×D411yescharacteristic
670C22⋊Dic47C2×D411yescharacteristic
671#10625337—41no—
672#10625336—22no—
673#10625336—22no—
674#10625336—41no—
675#10625335—41no—
676#10625335—41no—
677#10625334—22no—
678#10625334—22no—
679#10625334—41no—
680#10625334—41no—
681#10625334—41no—
682#10625334—41no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4—21no—
689(C2×D47)⋊C4—21no—
690(C2×D47)⋊C4—21no—
691(C2×D47)⋊C4—21no—
692(C2×D47)⋊C4—21no—
693(C2×D47)⋊C4—21no—
694(C2×D47)⋊C4—21no—
695(C2×D47)⋊C4—21no—
696(C2×D47)⋊C4C2×D411yescharacteristic
697(C2×D47)⋊C4C2×D411yescharacteristic
698(C2×D47)⋊C4C2×D411yescharacteristic
699(C2×D47)⋊C4C2×D411yescharacteristic
700(C2×D47)⋊C4C2×D411yescharacteristic
701(C2×D47)⋊C4C2×D411yescharacteristic
702C4⋊Dic47—21no—
703C4⋊Dic47—21no—
704C4⋊Dic47—21no—
705C4⋊Dic47—21no—
706C4⋊Dic47—21no—
707C4⋊Dic47C2×D411yescharacteristic
708C4⋊Dic47C2411yescharacteristic
709C4⋊Dic47C2411yescharacteristic
710C4⋊Dic47C2411yescharacteristic
711C4⋊Dic47C2411yescharacteristic
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714Dic47⋊C4—21no—
715Dic47⋊C4—21no—
716Dic47⋊C4—21no—
717Dic47⋊C4—21no—
718Dic47⋊C4—21no—
719Dic47⋊C4C2×D411yescharacteristic
720Dic47⋊C4C2×D411yescharacteristic
721Dic47⋊C4C2×D411yescharacteristic
722Dic47⋊C4C2×D411yescharacteristic
723C4×Dic47—21no—
724C4×Dic47—21no—
725C4×Dic47—21no—
726C4×Dic47—21no—
727C4×Dic47C2411yescharacteristic
728C2×C47⋊C8—41no—
729C2×C47⋊C8—41no—
730C2×C47⋊C8C2411yescharacteristic
731C2×C47⋊C8C2411yescharacteristic
732C2×C47⋊C8C2411yescharacteristic
733C2×C47⋊C8C2411yescharacteristic
734D376—22no—
735D376—41no—
736#10625325—41no—
737#10625324—41no—
738C8×D47—41no—
739C8×D47—41no—
740C8×D47—41no—
741C23×C47—21no—
742C23×C47—21no—
743C23×C47—21no—
744C23×C47—21no—
745C23×C47—81no—
746C23×C47—81no—
747C23×C47—81no—
748C23×C47C22×D411yescharacteristic
749C23×C47C22×D411yescharacteristic
750C22×D47—21no—
751C22×D47—22no—
752C22×D47—21no—
753C22×D47—21no—
754C22×D47—41no—
755C22×D47—41no—
756C22×D47—42no—
757C22×D47—42no—
758C22×D47—42no—
759C22×D47—42no—
760C22×D47—42no—
761C22×D47—42no—
762C22×D47—81no—
763C22×D47—81no—
764C22×D47—81no—
765C22×D47—81no—
766C22×D47—81no—
767C22×D47—81no—
768C22×D47—81no—
769C22×D47—81no—
770C22×D47—81no—
771C22×D47C22×D411yescharacteristic
772C22×D47C22×D411yescharacteristic
773C22×D47C22×D411yescharacteristic
774Q8×C47—21no—
775Q8×C47—21no—
776Q8×C47—21no—
777Q8×C47H(5,𝔽2)12yes—
778D4×C47—21no—
779D4×C47—21no—
780D4×C47—21no—
781D4×C47—21no—
782D4×C47—21no—
783D4×C47—21no—
784D4×C47—21no—
785D4×C47—21no—
786D4×C47—41no—
787D4×C47—42no—
788D4×C47—42no—
789D4×C47—81no—
790D4×C47—81no—
791D4×C47—81no—
792D4×C47—81no—
793D4×C47—81no—
794D4×C47—81no—
795D4×C47—81no—
796C2×C4×C47—21no—
797C2×C4×C47—21no—
798C2×C4×C47—21no—
799C2×C4×C47—21no—
800C2×C4×C47—21no—
801C2×C4×C47—21no—
802C2×C4×C47—21no—
803C2×C4×C47—21no—
804C2×C4×C47—42no—
805C2×C4×C47—42no—
806C2×C4×C47—81no—
807C2×C4×C47—81no—
808C2×C4×C47C22×D411yescharacteristic
809C2×C4×C47C22×D411yescharacteristic
810C2×C4×C47C22×D411yescharacteristic
811C2×C4×C47C22×D411yescharacteristic
812C2×C4×C47C2511yescharacteristic
813C22⋊D47—22no—
814C22⋊D47—41no—
815C22⋊D47—41no—
816C22⋊D47—41no—
817C22⋊D47—42no—
818C22⋊D47—42no—
819C22⋊D47—42no—
820C22⋊D47—42no—
821C22⋊D47—42no—
822C22⋊D47—42no—
823C22⋊D47—42no—
824C22⋊D47—81no—
825C22⋊D47—81no—
826C22⋊D47—81no—
827C22⋊D47—81no—
828C22⋊D47—81no—
829C22⋊D47—81no—
830C22⋊D47—81no—
831C22⋊D47—81no—
832C22⋊D47—81no—
833C22⋊D47—81no—
834C22⋊D47—81no—
835C22⋊D47—81no—
836C22⋊D47—81no—
837C2×Dic47—21no—
838C2×Dic47—21no—
839C2×Dic47—21no—
840C2×Dic47—21no—
841C2×Dic47—21no—
842C2×Dic47—41no—
843C2×Dic47—42no—
844C2×Dic47—81no—
845C2×Dic47C22×D411yescharacteristic
846C2×Dic47C22×D411yescharacteristic
847C2×Dic47C22×D411yescharacteristic
848C2×Dic47C22×D411yescharacteristic
849C2×Dic47C22×D411yescharacteristic
850D188—24no—
851D188—22no—
852D188—21no—
853D188—21no—
854D188—21no—
855D188—21no—
856D188—21no—
857D188—41no—
858D188—42no—
859D188—42no—
860D188—42no—
861D188—81no—
862D188—81no—
863D188H(5,𝔽2)12yes—
864C4×D47—24no—
865C4×D47—21no—
866C4×D47—21no—
867C4×D47—21no—
868C4×D47—21no—
869C4×D47—21no—
870C4×D47—21no—
871C4×D47—41no—
872C4×D47—41no—
873C4×D47—42no—
874C4×D47—42no—
875C4×D47—42no—
876C4×D47—42no—
877C4×D47—81no—
878C4×D47—81no—
879C4×D47—81no—
880C4×D47—81no—
881C4×D47—81no—
882C4×D47—81no—
883Dic94—21no—
884Dic94—21no—
885Dic94—41no—
886Dic94—42no—
887Dic94—81no—
888C8×C47—21no—
889C8×C47—21no—
890C8×C47—21no—
891C8×C47—21no—
892C47⋊C8—21no—
893C47⋊C8—21no—
894C47⋊C8—21no—
895C47⋊C8—21no—
896#61639—471nomaximal, Sylow
897C22×C47—21no—
898C22×C47—21no—
899C22×C47—21no—
900C22×C47—21no—
901C22×C47—21no—
902C22×C47—21no—
903C22×C47—41no—
904C22×C47—41no—
905C22×C47—41no—
906C22×C47—41no—
907C22×C47—41no—
908C22×C47—41no—
909C22×C47—41no—
910C22×C47—41no—
911C22×C47—41no—
912C22×C47—41no—
913C22×C47—41no—
914C22×C47—41no—
915C22×C47—162no—
916C22×C47C23×D411yescharacteristic
917C2×D47—21no—
918C2×D47—21no—
919C2×D47—21no—
920C2×D47—21no—
921C2×D47—21no—
922C2×D47—22no—
923C2×D47—21no—
924C2×D47—21no—
925C2×D47—21no—
926C2×D47—41no—
927C2×D47—41no—
928C2×D47—41no—
929C2×D47—41no—
930C2×D47—41no—
931C2×D47—41no—
932C2×D47—41no—
933C2×D47—41no—
934C2×D47—82no—
935C2×D47—84no—
936C2×D47—162no—
937C2×D47—162no—
938C2×D47—162no—
939C2×D47—162no—
940C2×D47#57612yes—
941C4×C47—21no—
942C4×C47—22no—
943C4×C47—21no—
944C4×C47—21no—
945C4×C47—21no—
946C4×C47—41no—
947C4×C47—41no—
948C4×C47—41no—
949C4×C47C2×H(5,𝔽2)11yescharacteristic
950C4×C47C2×H(5,𝔽2)11yescharacteristic
951Dic47—21no—
952Dic47—21no—
953Dic47—21no—
954Dic47—21no—
955Dic47—21no—
956Dic47—41no—
957Dic47—41no—
958Dic47—41no—
959Dic47—41no—
960Dic47—41no—
961#3542—471no—
962#3488—471no—
963#3319—471no—
964#3310—471no—
965#3309—471no—
966#3308—471no—
967#3305—471no—
968#3300—471no—
969#3297—471no—
970#3294—471no—
971#3287—471no—
972#3282—471no—
973#3280—471no—
974D4×D8—471no—
975#3268—471no—
976#3268D4711yescharacteristic, complemented
977#3265—471no—
978#3264—471no—
979#3224—471no—
980#3220—471no—
981#3203—471no—
982#3198—471no—
983#3188—471no—
984#3186—471no—
985#3124—471no—
986#3119—471no—
987#3012—471no—
988#3008—471no—
989#3002—471no—
990C2×#449—471no—
991#2977—471no—
992C2×C47—41no—
993C2×C47—41no—
994C2×C47—81no—
995C2×C47—81no—
996C2×C47—81no—
997C2×C47—81no—
998C2×C47#348411yescharacteristic
999C2×C47C2×#57611yescharacteristic
1000C2×C47#358411yescharacteristic
1001D47—22no—
1002D47—41no—
1003D47—41no—
1004D47—42no—
1005D47—81no—
1006D47—81no—
1007C2×H(5,𝔽2)—471no—
1008C22×#41—471no—
1009C2×AGL(1,ℤ/8)—471no—
1010C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
1011C2×#135—471no—
1012C2×#135—471no—
1013C2×#135C2×D4711yescharacteristic, complemented
1014C22×SD16—471no—
1015C22×D8—471no—
1016C22×D8—471no—
1017#562—941no—
1018#560—941no—
1019#555—471no—
1020#553—471no—
1021#552—471no—
1022#551—941no—
1023#550—471no—
1024#550—471no—
1025#550C2×D4711yescharacteristic, complemented
1026#548—471no—
1027#548—471no—
1028#547—471no—
1029#546—471no—
1030#546—471no—
1031#546—471no—
1032#546—941no—
1033#546—941no—
1034#546—941no—
1035#546C2×D4711yescharacteristic, complemented
1036D42—471no—
1037D42—471no—
1038D42—471no—
1039D42—941no—
1040D42—941no—
1041#542—471no—
1042#540—471no—
1043#540—941no—
1044#538—941no—
1045#537—471no—
1046#537—471no—
1047#537—941no—
1048#535—471no—
1049#535—471no—
1050#535—941no—
1051#535—941no—
1052#534—941no—
1053#525—471no—
1054#525—471no—
1055#525—941no—
1056C2×#121—471no—
1057C2×#121—471no—
1058C2×#121—941no—
1059#520—471no—
1060#496—471no—
1061#496C2×D4711yescharacteristic, complemented
1062#495—471no—
1063#493—471no—
1064#490—471no—
1065#489—471no—
1066#488—471no—
1067#486—471no—
1068#485—471no—
1069#484—471no—
1070#484—471no—
1071#482—471no—
1072#482—471no—
1073#482—471no—
1074#481—471no—
1075#480—471no—
1076#480—471no—
1077#480—471no—
1078#480—471no—
1079#480—471no—
1080#479—471no—
1081#478—471no—
1082#477—471no—
1083#474—471no—
1084#469—471no—
1085#468—471no—
1086#468—471no—
1087#468C2×D4711yescharacteristic, complemented
1088#467—471no—
1089#466—471no—
1090#466—471no—
1091#466—471no—
1092#466—471no—
1093#466—471no—
1094#466—471no—
1095#466—471no—
1096#466C2×D4711yescharacteristic, complemented
1097#465—471no—
1098#465—471no—
1099#465—471no—
1100#464—471no—
1101#464C2×D4711yescharacteristic, complemented
1102#463—471no—
1103#463—471no—
1104#463—471no—
1105#463—471no—
1106#460—471no—
1107#460—471no—
1108#459—471no—
1109#459—471no—
1110#459—471no—
1111#459C2×D4711yescharacteristic, complemented
1112#452—471no—
1113#452—471no—
1114#452—471no—
1115#452C2×D4711yescharacteristic, complemented
1116#451—471no—
1117#450—471no—
1118#450—471no—
1119#450—471no—
1120#450—471no—
1121#449—471no—
1122#449—471no—
1123#449—471no—
1124#449—471no—
1125#449—471no—
1126#449—471no—
1127#449—471no—
1128#449—471no—
1129#449—471no—
1130#449—471no—
1131#449—471no—
1132#449—471no—
1133#449—471no—
1134#449—471no—
1135#449C2×D4711yescharacteristic, complemented
1136#449C2×D4711yescharacteristic, complemented
1137#448—471no—
1138#447—471no—
1139#447—471no—
1140#447—471no—
1141#447—471no—
1142#447—471no—
1143#447—471no—
1144#447—471no—
1145#447—471no—
1146#447—471no—
1147#447C2×D4711yescharacteristic, complemented
1148#442—471no—
1149#440—471no—
1150#440—471no—
1151#440C2×D4711yescharacteristic, complemented
1152C4×Q16—471no—
1153C4×SD16—471no—
1154C4×D8—471no—
1155C4×D8—471no—
1156#435—471no—
1157#435—471no—
1158#435—471no—
1159#435C2×D4711yescharacteristic, complemented
1160C8×D4—471no—
1161C8×D4—471no—
1162C8×D4—471no—
1163C8×D4—471no—
1164#433—471no—
1165#433—471no—
1166#418—471no—
1167#417—471no—
1168#416—471no—
1169#416—471no—
1170#416—471no—
1171C2×#103—471no—
1172C2×#102—471no—
1173C2×#102—471no—
1174#408—471no—
1175#408—471no—
1176C2×C22⋊C8—471no—
1177C2×C22⋊C8—471no—
1178C47#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—1882no—
1180H(5,𝔽2)—1882no—
1181C2×#41—471no—
1182C2×#41—471no—
1183C2×#41—471no—
1184C2×#41—471no—
1185C2×#41—471no—
1186C2×#41—471no—
1187C2×#41—941no—
1188C2×#41—941no—
1189C2×#41—941no—
1190C2×#41—941no—
1191C2×#41—1882no—
1192C2×#41—1882no—
1193C2×#41C22×D4711yescharacteristic
1194C2×#41C22×D4711yescharacteristic
1195C2×#41C22×D4711yescharacteristic
1196C22×Q8—471no—
1197C22×D4—471no—
1198C22×D4—471no—
1199C22×D4—471no—
1200C22×D4—471no—
1201C22×D4—471no—
1202C22×D4—941no—
1203C22×D4—941no—
1204C22×D4—941no—
1205C22×D4—941no—
1206C22×D4—941no—
1207C22×D4—941no—
1208C22×D4—941no—
1209C22×D4—941no—
1210C22×D4—941no—
1211C22×D4C22×D4711yescharacteristic
1212C23×C4—471no—
1213C23×C4—941no—
1214AGL(1,ℤ/8)—42no—
1215AGL(1,ℤ/8)—1882no—
1216#135—42no—
1217#135—1882no—
1218#135—1882no—
1219C2×Q16—471no—
1220C2×Q16C22×D4711yescharacteristic
1221C2×SD16—471no—
1222C2×SD16—471no—
1223C2×SD16—471no—
1224C2×SD16—471no—
1225C2×SD16—471no—
1226C2×SD16—471no—
1227C2×SD16—1882no—
1228C2×SD16C22×D4711yescharacteristic
1229C2×SD16C22×D4711yescharacteristic
1230C2×SD16C22×D4711yescharacteristic
1231C2×SD16C22×D4711yescharacteristic
1232C2×D8—471no—
1233C2×D8—471no—
1234C2×D8—471no—
1235C2×D8—471no—
1236C2×D8—471no—
1237C2×D8—471no—
1238C2×D8—471no—
1239C2×D8—471no—
1240C2×D8—1882no—
1241C2×D8—1882no—
1242C2×D8C22×D4711yescharacteristic
1243C2×D8C22×D4711yescharacteristic
1244C2×D8C22×D4711yescharacteristic
1245C2×D8C22×D4711yescharacteristic
1246C2×M16—471no—
1247C2×M16C22×D4711yescharacteristic
1248C22×C8—471no—
1249C22×C8—471no—
1250C22×C8—471no—
1251C22×C8—471no—
1252C22×C8—471no—
1253C22×C8C22×D4711yescharacteristic
1254C4⋊Q8—471no—
1255#127—21no—
1256#127—471no—
1257#127—471no—
1258#127—941no—
1259#127—941no—
1260#127—941no—
1261#127C22×D4711yescharacteristic
1262#126—941no—
1263#126—941no—
1264#126—941no—
1265#125—471no—
1266#125—941no—
1267#124—471no—
1268#124—471no—
1269#124—941no—
1270#124—941no—
1271#124—941no—
1272#124—941no—
1273#124—941no—
1274#124—941no—
1275#124C22×D4711yescharacteristic
1276#123—21no—
1277#123—471no—
1278#123—471no—
1279#123—941no—
1280#123—941no—
1281#123—941no—
1282#123—941no—
1283#123—941no—
1284#123—941no—
1285#123—941no—
1286#123—941no—
1287#123—941no—
1288#123—941no—
1289#123—941no—
1290C22⋊Q8—471no—
1291C22⋊Q8—471no—
1292C22⋊Q8—471no—
1293C22⋊Q8—471no—
1294C22⋊Q8—471no—
1295C22⋊Q8—471no—
1296C22⋊Q8—941no—
1297C22⋊Q8—941no—
1298C22⋊Q8—941no—
1299C22⋊Q8—941no—
1300C22⋊Q8—941no—
1301C22⋊Q8—941no—
1302C22⋊Q8C22×D4711yescharacteristic
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—471no—
1307#121—471no—
1308#121—471no—
1309#121—471no—
1310#121—471no—
1311#121—471no—
1312#121—471no—
1313#121—471no—
1314#121—471no—
1315#121—471no—
1316#121—471no—
1317#121—471no—
1318#121—471no—
1319#121—471no—
1320#121—941no—
1321#121—941no—
1322#121—941no—
1323#121—941no—
1324#121—941no—
1325#121—941no—
1326#121—941no—
1327#121—941no—
1328#121—941no—
1329#121—941no—
1330#121—941no—
1331#121—941no—
1332#121—941no—
1333#121—941no—
1334#121—941no—
1335#121—941no—
1336#121—941no—
1337#121—941no—
1338#121—941no—
1339#121—941no—
1340#121—941no—
1341#121—941no—
1342#121—941no—
1343#121—941no—
1344#121—941no—
1345#121—941no—
1346#121—941no—
1347#121—941no—
1348#121C22×D4711yescharacteristic
1349#121C22×D4711yescharacteristic
1350#121C22×D4711yescharacteristic
1351#120—21no—
1352#120—471no—
1353#120—471no—
1354#120—941no—
1355#120—941no—
1356#120—941no—
1357#120—941no—
1358#120—941no—
1359#120—941no—
1360#120—941no—
1361#120—941no—
1362#120—941no—
1363#120—941no—
1364#120—941no—
1365#120—941no—
1366#120—941no—
1367#120—941no—
1368C4×Q8—471no—
1369C4×Q8—471no—
1370C4×Q8C22×D4711yescharacteristic
1371C4×D4—21no—
1372C4×D4—471no—
1373C4×D4—471no—
1374C4×D4—471no—
1375C4×D4—471no—
1376C4×D4—471no—
1377C4×D4—471no—
1378C4×D4—471no—
1379C4×D4—941no—
1380C4×D4—941no—
1381C4×D4—941no—
1382C4×D4—941no—
1383C4×D4—941no—
1384C4×D4—941no—
1385C4×D4—941no—
1386C4×D4—941no—
1387C4×D4—941no—
1388C4×D4C22×D4711yescharacteristic
1389C4×D4C22×D4711yescharacteristic
1390#117—471no—
1391#117—471no—
1392#117—471no—
1393#117—941no—
1394#117—941no—
1395#117—941no—
1396C2×C4⋊C4—471no—
1397C2×C4⋊C4—471no—
1398C2×C4⋊C4—471no—
1399C2×C4⋊C4—941no—
1400C2×C22⋊C4—21no—
1401C2×C22⋊C4—941no—
1402C2×C22⋊C4—941no—
1403C2×C22⋊C4—941no—
1404C2×C22⋊C4—941no—
1405C2×C22⋊C4—941no—
1406#107—471no—
1407#107—471no—
1408#107—471no—
1409#107—471no—
1410#107—471no—
1411#107C22×D4711yescharacteristic
1412#106—471no—
1413#106—471no—
1414C4⋊C8—471no—
1415C4⋊C8—471no—
1416C4⋊C8—471no—
1417C4⋊C8C22×D4711yescharacteristic
1418#103—471no—
1419#103—471no—
1420#103—471no—
1421#103—471no—
1422#103—471no—
1423#103—471no—
1424#103—471no—
1425#103—471no—
1426#103C22×D4711yescharacteristic
1427#103C22×D4711yescharacteristic
1428#102—471no—
1429#102—471no—
1430#102—471no—
1431#102—471no—
1432#102—471no—
1433#102—471no—
1434#102—471no—
1435#102—471no—
1436#102—471no—
1437#102—471no—
1438#102—471no—
1439#102—471no—
1440#102—471no—
1441#102—471no—
1442#102—471no—
1443#102—471no—
1444#102—471no—
1445#102—471no—
1446#102C22×D4711yescharacteristic
1447#102C22×D4711yescharacteristic
1448#102C22×D4711yescharacteristic
1449#102C22×D4711yescharacteristic
1450C22⋊C8—471no—
1451C22⋊C8—471no—
1452C22⋊C8—471no—
1453C22⋊C8—471no—
1454C22⋊C8—471no—
1455C22⋊C8—471no—
1456C22⋊C8—471no—
1457C22⋊C8—471no—
1458C22⋊C8—471no—
1459C22⋊C8—471no—
1460C22⋊C8C22×D4711yescharacteristic
1461C22⋊C8C22×D4711yescharacteristic
1462#97—471no—
1463#97C22×D4711yescharacteristic
1464C4×C8—471no—
1465C4×C8—471no—
1466C24—21no—
1467C24—471no—
1468C24—941no—
1469C24—941no—
1470C24—941no—
1471C24—941no—
1472C24—941no—
1473#41—22no—
1474#41—22no—
1475#41—41no—
1476#41—41no—
1477#41—41no—
1478#41—41no—
1479#41—942no—
1480#41—942no—
1481#41—942no—
1482#41—942no—
1483#41—3762no—
1484#41—1881no—
1485#41—1881no—
1486#41—1881no—
1487#41—1884no—
1488#41—1884no—
1489#41—1881no—
1490#41—1881no—
1491#41—1881no—
1492#41—1881no—
1493#41—1884no—
1494#41—1881no—
1495C2×Q8—471no—
1496C2×Q8—471no—
1497C2×Q8—941no—
1498C2×Q8—941no—
1499C2×Q8—942no—
1500C2×Q8—1881no—
1501C2×Q8C23×D4711yescharacteristic
1502C2×Q8C23×D4711yescharacteristic
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—41no—
1513C2×D4—41no—
1514C2×D4—471no—
1515C2×D4—471no—
1516C2×D4—471no—
1517C2×D4—471no—
1518C2×D4—471no—
1519C2×D4—471no—
1520C2×D4—471no—
1521C2×D4—471no—
1522C2×D4—471no—
1523C2×D4—942no—
1524C2×D4—941no—
1525C2×D4—941no—
1526C2×D4—941no—
1527C2×D4—941no—
1528C2×D4—941no—
1529C2×D4—941no—
1530C2×D4—941no—
1531C2×D4—941no—
1532C2×D4—941no—
1533C2×D4—941no—
1534C2×D4—941no—
1535C2×D4—941no—
1536C2×D4—941no—
1537C2×D4—942no—
1538C2×D4—942no—
1539C2×D4—941no—
1540C2×D4—941no—
1541C2×D4—941no—
1542C2×D4—941no—
1543C2×D4—941no—
1544C2×D4—941no—
1545C2×D4—941no—
1546C2×D4—941no—
1547C2×D4—941no—
1548C2×D4—941no—
1549C2×D4—941no—
1550C2×D4—941no—
1551C2×D4—941no—
1552C2×D4—3762no—
1553C2×D4—3762no—
1554C2×D4—3762no—
1555C2×D4—3762no—
1556C2×D4—3762no—
1557C2×D4—1881no—
1558C2×D4—1884no—
1559C2×D4—1881no—
1560C2×D4—1881no—
1561C2×D4—1881no—
1562C2×D4—1881no—
1563C2×D4—1881no—
1564C2×D4—1881no—
1565C2×D4—1884no—
1566C2×D4—1884no—
1567C2×D4—1884no—
1568C2×D4D4×D4711yescharacteristic
1569C2×D4C23×D4711yescharacteristic
1570C2×D4C23×D4711yescharacteristic
1571C2×D4C23×D4711yescharacteristic
1572C2×D4C23×D4711yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—471no—
1578C22×C4—471no—
1579C22×C4—471no—
1580C22×C4—471no—
1581C22×C4—471no—
1582C22×C4—471no—
1583C22×C4—941no—
1584C22×C4—941no—
1585C22×C4—941no—
1586C22×C4—941no—
1587C22×C4—941no—
1588C22×C4—941no—
1589C22×C4—941no—
1590C22×C4—941no—
1591C22×C4—941no—
1592C22×C4—941no—
1593C22×C4—941no—
1594C22×C4—941no—
1595C22×C4—941no—
1596C22×C4—1881no—
1597C22×C4—1881no—
1598C22×C4—1884no—
1599C22×C4C23×D4711yescharacteristic
1600C22×C4C23×D4711yescharacteristic
1601Q16—22no—
1602Q16—1881no—
1603SD16—22no—
1604SD16—22no—
1605SD16—41no—
1606SD16—41no—
1607SD16—942no—
1608SD16—942no—
1609SD16—1881no—
1610SD16—1881no—
1611SD16—1881no—
1612SD16—1881no—
1613D8—41no—
1614D8—41no—
1615D8—41no—
1616D8—41no—
1617D8—942no—
1618D8—942no—
1619D8—942no—
1620D8—1881no—
1621D8—1881no—
1622D8—1881no—
1623D8—1881no—
1624D8—1881no—
1625M16—41no—
1626M16—1881no—
1627C2×C8—41no—
1628C2×C8—471no—
1629C2×C8—471no—
1630C2×C8—471no—
1631C2×C8—471no—
1632C2×C8—1881no—
1633C2×C8—1881no—
1634C2×C8—1881no—
1635C2×C8—1881no—
1636C2×C8—1881no—
1637C2×C8C23×D4711yescharacteristic
1638C2×C8C23×D4711yescharacteristic
1639C2×C8C23×D4711yescharacteristic
1640C2×C8C23×D4711yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—471no—
1644C4⋊C4—471no—
1645C4⋊C4—471no—
1646C4⋊C4—471no—
1647C4⋊C4—471no—
1648C4⋊C4—471no—
1649C4⋊C4—471no—
1650C4⋊C4—471no—
1651C4⋊C4—471no—
1652C4⋊C4—941no—
1653C4⋊C4—941no—
1654C4⋊C4—941no—
1655C4⋊C4—941no—
1656C4⋊C4—941no—
1657C4⋊C4—941no—
1658C4⋊C4—941no—
1659C4⋊C4—941no—
1660C4⋊C4—941no—
1661C4⋊C4—941no—
1662C4⋊C4—941no—
1663C4⋊C4—941no—
1664C4⋊C4D4×D4711yescharacteristic
1665C4⋊C4C23×D4711yescharacteristic
1666C4⋊C4C23×D4711yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—471no—
1675C22⋊C4—471no—
1676C22⋊C4—471no—
1677C22⋊C4—471no—
1678C22⋊C4—471no—
1679C22⋊C4—471no—
1680C22⋊C4—471no—
1681C22⋊C4—471no—
1682C22⋊C4—941no—
1683C22⋊C4—941no—
1684C22⋊C4—941no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4—941no—
1689C22⋊C4—941no—
1690C22⋊C4—941no—
1691C22⋊C4—941no—
1692C22⋊C4—941no—
1693C22⋊C4—941no—
1694C22⋊C4—941no—
1695C22⋊C4—941no—
1696C22⋊C4—941no—
1697C22⋊C4—941no—
1698C22⋊C4—941no—
1699C22⋊C4—941no—
1700C22⋊C4—941no—
1701C22⋊C4—941no—
1702C22⋊C4—941no—
1703C22⋊C4—941no—
1704C22⋊C4—941no—
1705C22⋊C4—941no—
1706C22⋊C4—941no—
1707C22⋊C4—941no—
1708C22⋊C4D4×D4711yescharacteristic
1709C22⋊C4D4×D4711yescharacteristic
1710C42—21no—
1711C42—471no—
1712C42—941no—
1713C42—941no—
1714C42—941no—
1715C42—941no—
1716C42C23×D4711yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—81no—
1722C23—81no—
1723C23—81no—
1724C23—471no—
1725C23—471no—
1726C23—471no—
1727C23—942no—
1728C23—941no—
1729C23—941no—
1730C23—941no—
1731C23—3761no—
1732C23—3761no—
1733C23—3761no—
1734C23—3761no—
1735C23—3761no—
1736C23—3761no—
1737C23—3761no—
1738C23—3761no—
1739C23—3761no—
1740C23—1881no—
1741C23—1881no—
1742C23—1882no—
1743C23—1882no—
1744C23—1882no—
1745C23—1882no—
1746C23—1882no—
1747C23—1882no—
1748C23C2×D4×D4711yescharacteristic
1749C23C2×D4×D4711yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—941no—
1754Q8—941no—
1755Q8—3761no—
1756Q8—1881no—
1757Q8—1882no—
1758Q8#1309406912yes—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—41no—
1768D4—42no—
1769D4—42no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—81no—
1777D4—472no—
1778D4—942no—
1779D4—944no—
1780D4—942no—
1781D4—941no—
1782D4—941no—
1783D4—941no—
1784D4—941no—
1785D4—941no—
1786D4—3761no—
1787D4—3761no—
1788D4—3761no—
1789D4—3761no—
1790D4—3761no—
1791D4—3761no—
1792D4—3761no—
1793D4—3761no—
1794D4—3761no—
1795D4—3761no—
1796D4—3761no—
1797D4—3761no—
1798D4—3761no—
1799D4—3761no—
1800D4—3761no—
1801D4—1881no—
1802D4—1882no—
1803D4—1882no—
1804D4—1882no—
1805D4—1881no—
1806D4—1881no—
1807D4—1881no—
1808D4—1882no—
1809D4—1882no—
1810D4—1882no—
1811D4—1882no—
1812D4—1882no—
1813D4—1882no—
1814D4—1882no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—42no—
1824C2×C4—42no—
1825C2×C4—81no—
1826C2×C4—81no—
1827C2×C4—471no—
1828C2×C4—471no—
1829C2×C4—471no—
1830C2×C4—471no—
1831C2×C4—471no—
1832C2×C4—944no—
1833C2×C4—941no—
1834C2×C4—941no—
1835C2×C4—941no—
1836C2×C4—941no—
1837C2×C4—941no—
1838C2×C4—941no—
1839C2×C4—941no—
1840C2×C4—941no—
1841C2×C4—941no—
1842C2×C4—941no—
1843C2×C4—941no—
1844C2×C4—3761no—
1845C2×C4—3761no—
1846C2×C4—3761no—
1847C2×C4—3761no—
1848C2×C4—3761no—
1849C2×C4—3761no—
1850C2×C4—3761no—
1851C2×C4—1881no—
1852C2×C4—1881no—
1853C2×C4—1882no—
1854C2×C4—1882no—
1855C2×C4—1882no—
1856C2×C4—1882no—
1857C2×C4—1881no—
1858C2×C4—1882no—
1859C2×C4C2×D4×D4711yescharacteristic
1860C2×C4C2×D4×D4711yescharacteristic
1861C2×C4C2×D4×D4711yescharacteristic
1862C2×C4C2×D4×D4711yescharacteristic
1863C2×C4C24×D4711yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—941no—
1869C8—941no—
1870C8—941no—
1871C8—941no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—162no—
1891C22—472no—
1892C22—941no—
1893C22—941no—
1894C22—941no—
1895C22—941no—
1896C22—941no—
1897C22—941no—
1898C22—942no—
1899C22—941no—
1900C22—941no—
1901C22—3762no—
1902C22—3764no—
1903C22—1881no—
1904C22—1881no—
1905C22—1881no—
1906C22—1881no—
1907C22—1881no—
1908C22—1881no—
1909C22—1881no—
1910C22—1881no—
1911C22—7522no—
1912C22—7522no—
1913C22—7522no—
1914C22—7522no—
1915C22C22×D4×D4711yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—22no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—941no—
1925C4—941no—
1926C4—941no—
1927C4—941no—
1928C4—941no—
1929C4—1881no—
1930C4—1881no—
1931C4—1881no—
1932C4—1881no—
1933C4—1881no—
1934C4H(5,𝔽2)×D4711yescharacteristic
1935C4C2×#1309406911yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—81no—
1939C2—81no—
1940C2—81no—
1941C2—81no—
1942C2—942no—
1943C2—3761no—
1944C2—3761no—
1945C2—1881no—
1946C2—1881no—
1947C2—1882no—
1948C2#2025701611yescharacteristic
1949C2#576×D4711yescharacteristic
1950C2#2025816111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3268C2
socleC22×C47C23×D4
hypercenter#3268D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #20257702C2semidirect
2. #20257056C2semidirect
3. #20255546C2semidirect
4. #20255404C2semidirect
5. #20255398C2semidirect
6. #20255384C2semidirect
7. #20255338C2semidirect
8. #20255268C2semidirect
9. #20255233C2semidirect
10. #20255204C2semidirect
11. #20255142C2semidirect
12. #20255090C2semidirect
13. #20255069C2semidirect
14. #20255058C2semidirect
15. #20254921C2semidirect
16. #20254877C2semidirect
17. #20254867C2semidirect
18. #20254477C2semidirect
19. #20254437C2semidirect
20. #20254286C2semidirect
21. #20254236C2semidirect
22. #20254151C2semidirect
23. #20254135C2semidirect
24. #20253649C2semidirect
25. #20253585C2semidirect
26. #20252696C2semidirect
27. #20252655C2semidirect
28. #20252602C2semidirect
29. #449×D47C2semidirect
30. #20252439C2semidirect
31. C47×#3268C2semidirect
32. C2×#13094070C22semidirect
33. C2×#41×D47C22semidirect
34. C2×#13094051C22semidirect
35. C2×#13094047C22semidirect
36. C2×#13094044C22semidirect
37. C2×SD16×D47C22semidirect
38. C22×#10625334C22semidirect
39. C2×D8×D47C22semidirect
42. #15689838C22semidirect
43. #15689820C22semidirect
44. #15689807C22semidirect
46. #15689792C22semidirect
47. #15689792C22semidirect
48. #15689785C22semidirect
50. #15689778C22semidirect
52. #15689770C22semidirect
54. #15689769C22semidirect
55. #15689766C22semidirect
58. #15689758C22semidirect
61. D4×C22⋊D47C22semidirect
62. #15689742C22semidirect
64. #15689724C22semidirect
66. #15689703C22semidirect
68. #15689702C22semidirect
69. #15689690C22semidirect
72. #15689686C22semidirect
76. #15689630C22semidirect
78. #121×D47C22semidirect
79. #121×D47C22semidirect
80. #15689605C22semidirect
81. #15689511C22semidirect
82. #15689505C22semidirect
83. #15689498C22semidirect
84. #15689486C22semidirect
85. #15689483C22semidirect
86. #15689476C22semidirect
87. #15689469C22semidirect
88. #15689465C22semidirect
89. #15689460C22semidirect
90. #15689457C22semidirect
91. #15689448C22semidirect
92. #15689444C22semidirect
93. #15689444C22semidirect
94. #15689440C22semidirect
95. #15689438C22semidirect
96. #15689438C22semidirect
97. #15689435C22semidirect
98. #15689435C22semidirect
99. #15689435C22semidirect
100. #15689428C22semidirect
101. #15689426C22semidirect
102. #15689418C22semidirect
103. #15689404C22semidirect
104. #15689373C22semidirect
105. #15689369C22semidirect
106. #15689368C22semidirect
107. #15689362C22semidirect
108. #15689359C22semidirect
109. #15689358C22semidirect
110. #15689357C22semidirect
111. #15689357C22semidirect
112. #15689357C22semidirect
113. #15689356C22semidirect
114. #15689356C22semidirect
115. #15689355C22semidirect
116. #15689351C22semidirect
117. #15689349C22semidirect
118. #15689343C22semidirect
119. #15689339C22semidirect
120. #15689338C22semidirect
121. #15689336C22semidirect
122. #15689335C22semidirect
123. #15689321C22semidirect
124. #15689321C22semidirect
125. #15689317C22semidirect
126. #15689316C22semidirect
127. #15689315C22semidirect
128. #15689288C22semidirect
129. #15689284C22semidirect
130. #15689282C22semidirect
131. #15689277C22semidirect
132. #15689274C22semidirect
133. #15689273C22semidirect
134. #15689272C22semidirect
135. #15689272C22semidirect
136. #15689271C22semidirect
137. #15689270C22semidirect
138. #15689269C22semidirect
139. #15689268C22semidirect
140. #15689268C22semidirect
141. #15689268C22semidirect
143. #15689267C22semidirect
144. #15689267C22semidirect
145. #15689267C22semidirect
146. #15689267C22semidirect
147. #15689266C22semidirect
148. #15689265C22semidirect
149. #15689265C22semidirect
150. #15689260C22semidirect
151. #15689259C22semidirect
152. #15689258C22semidirect
153. #15689258C22semidirect
154. #15689255C22semidirect
155. #15689255C22semidirect
156. #15689255C22semidirect
157. #15689255C22semidirect
158. #15689255C22semidirect
159. #15689255C22semidirect
160. #15689236C22semidirect
161. #15689226C22semidirect
162. #15689224C22semidirect
163. Q16×Dic47C22semidirect
164. C4×#10625336C22semidirect
165. C4×#10625334C22semidirect
166. #15689203C22semidirect
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. #15689129C22semidirect
177. #15689123C22semidirect
178. #15689120C22semidirect
179. #15689119C22semidirect
180. #15689119C22semidirect
181. #103×D47C22semidirect
182. #102×D47C22semidirect
183. #102×D47C22semidirect
184. #15689091C22semidirect
185. #15689088C22semidirect
186. C2×(C2×D47)⋊C8C22semidirect
187. C22⋊C8×D47C22semidirect
188. C2×AGL(1,ℤ/8)×C47C22semidirect
189. C2×#135×C47C22semidirect
190. C47×#550C22semidirect
191. C47×#546C22semidirect
192. C47×#496C22semidirect
193. C47×#468C22semidirect
194. C47×#466C22semidirect
195. C47×#464C22semidirect
196. C47×#459C22semidirect
197. C47×#452C22semidirect
198. C47×#449C22semidirect
199. C47×#449C22semidirect
200. C47×#447C22semidirect
201. C47×#440C22semidirect
202. C47×#435C22semidirect
976. #3268D47semidirect
1010. C2×AGL(1,ℤ/8)C2×D47semidirect
1013. C2×#135C2×D47semidirect
1025. #550C2×D47semidirect
1035. #546C2×D47semidirect
1061. #496C2×D47semidirect
1087. #468C2×D47semidirect
1096. #466C2×D47semidirect
1101. #464C2×D47semidirect
1111. #459C2×D47semidirect
1115. #452C2×D47semidirect
1135. #449C2×D47semidirect
1136. #449C2×D47semidirect
1147. #447C2×D47semidirect
1151. #440C2×D47semidirect
1159. #435C2×D47semidirect
1178. C47#61639semidirect

Maximal subgroups

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

subgroupindex
#202577022
#202570562
#202555462
#202554042
#202553982
#202553842
#202553382
#202552682
#202552332
#202552042
#202551422
#202550902
#202550692
#202550582
#202549212
#202548772
#202548672
#202544772
#202544372
#202542862
#202542362
#202541512
#202541352
#202536492
#202535852
#202526962
#202526552
#202526022
#449×D472
#202524392
C47×#32682
#6163947