Finite Group Databasebeta

← #27102453

Subgroups — #27102453

Order 12032.

2074 conjugacy classes of subgroups.

The subgroup lattice has 1888 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257652C211yesmaximal, characteristic, complemented
2#20257025C211yesmaximal, characteristic, complemented
3#20255551C211yesmaximal, characteristic, complemented
4#20255550C211yesmaximal, characteristic, complemented
5#20255424C211yesmaximal, characteristic, complemented
6#20255417C211yesmaximal, characteristic, complemented
7#20255318C211yesmaximal, characteristic, complemented
8#20255309C211yesmaximal, characteristic, complemented
9#20255306C211yesmaximal, characteristic, complemented
10#20255300C211yesmaximal, characteristic, complemented
11#20255098C211yesmaximal, characteristic, complemented
12#20255094C211yesmaximal, characteristic, complemented
13#20255073C211yesmaximal, characteristic, complemented
14#20254949C211yesmaximal, characteristic, complemented
15#20254943C211yesmaximal, characteristic, complemented
16#20254911C211yesmaximal, characteristic, complemented
17#20254909C211yesmaximal, characteristic, complemented
18#20254494C211yesmaximal, characteristic, complemented
19#20254490C211yesmaximal, characteristic, complemented
20#20254278C211yesmaximal, characteristic, complemented
21#20254257C211yesmaximal, characteristic, complemented
22#20254178C211yesmaximal, characteristic, complemented
23#20254175C211yesmaximal, characteristic, complemented
24#20253569C211yesmaximal, characteristic, complemented
25#20253568C211yesmaximal, characteristic, complemented
26#20252660C211yesmaximal, characteristic, complemented
27#20252652C211yesmaximal, characteristic, complemented
28#20252603C211yesmaximal, characteristic, complemented
29#20252602C211yesmaximal, characteristic, complemented
30#20252441C211yesmaximal, characteristic, complemented
31C47×#3280C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic
33C2×#41×D47C2211yescharacteristic, complemented
34C2×#13094053C2211yescharacteristic, complemented
35C2×#13094050C2211yescharacteristic, complemented
36C2×#13094045C2211yescharacteristic, complemented
37C2×#13094044C2211yescharacteristic, complemented
38C2×#13094043C2211yescharacteristic, complemented
39C2×SD16×D47C2211yescharacteristic, complemented
40#15689866—21no—
41#15689861—21no—
42#15689857—21no—
43#15689844C2211yescharacteristic, complemented
44#15689843C2211yescharacteristic, complemented
45#15689838C2211yescharacteristic, complemented
46#15689837C2211yescharacteristic, complemented
47#15689799—21no—
48#15689781C2211yescharacteristic, complemented
49#15689780C2211yescharacteristic, complemented
50#15689778C2211yescharacteristic
51#15689777C2211yescharacteristic, complemented
52#15689775C2211yescharacteristic
53#15689773—21no—
54#15689772C2211yescharacteristic, complemented
55#15689771—21no—
56#15689770C2211yescharacteristic, complemented
57#15689767C2211yescharacteristic
58#15689767C2211yescharacteristic, complemented
59#15689766C2211yescharacteristic, complemented
60#15689763—21no—
61#15689760—21no—
62#15689742C2211yescharacteristic, complemented
63#15689741—21no—
64#15689740—21no—
65#15689738C2211yescharacteristic, complemented
66#15689711—21no—
67#15689708—21no—
68#15689696C2211yescharacteristic
69#15689696C2211yescharacteristic
70#15689693C2211yescharacteristic, complemented
71#15689690C2211yescharacteristic
72#15689683—21no—
73#15689681—21no—
74#15689633C2211yescharacteristic, complemented
75#15689633C2211yescharacteristic, complemented
76#15689632C2211yescharacteristic
77#15689630C2211yescharacteristic, complemented
78C2×#13094006—21no—
79#123×D47—21no—
80#15689595C2211yescharacteristic, complemented
81#15689518C2211yescharacteristic, complemented
82#15689514C2211yescharacteristic, complemented
83#15689506C2211yescharacteristic, complemented
84#15689482C2211yescharacteristic, complemented
85#15689481C2211yescharacteristic, complemented
86#15689474C2211yescharacteristic, complemented
87#15689472C2211yescharacteristic, complemented
88#15689466C2211yescharacteristic, complemented
89#15689466C2211yescharacteristic, complemented
90#15689466C2211yescharacteristic, complemented
91#15689465C2211yescharacteristic, complemented
92#15689465C2211yescharacteristic, complemented
93#15689463C2211yescharacteristic, complemented
94#15689463C2211yescharacteristic, complemented
95#15689461C2211yescharacteristic, complemented
96#15689446C2211yescharacteristic, complemented
97#15689445C2211yescharacteristic, complemented
98#15689445C2211yescharacteristic, complemented
99#15689444C2211yescharacteristic, complemented
100#15689413C2211yescharacteristic, complemented
101#15689411C2211yescharacteristic, complemented
102#15689404C2211yescharacteristic, complemented
103#15689402C2211yescharacteristic, complemented
104#15689379C2211yescharacteristic, complemented
105#15689379C2211yescharacteristic, complemented
106#15689368C2211yescharacteristic, complemented
107#15689366C2211yescharacteristic, complemented
108#15689364C2211yescharacteristic, complemented
109#15689364C2211yescharacteristic, complemented
110#15689363C2211yescharacteristic, complemented
111#15689356C2211yescharacteristic, complemented
112#15689351C2211yescharacteristic, complemented
113#15689351C2211yescharacteristic, complemented
114#15689350C2211yescharacteristic, complemented
115#15689350C2211yescharacteristic, complemented
116#15689349C2211yescharacteristic, complemented
117#15689349C2211yescharacteristic, complemented
118#15689343C2211yescharacteristic, complemented
119#15689342C2211yescharacteristic, complemented
120#15689337C2211yescharacteristic, complemented
121#15689336C2211yescharacteristic, complemented
122#15689336C2211yescharacteristic, complemented
123#15689335C2211yescharacteristic, complemented
124#15689334C2211yescharacteristic, complemented
125#15689331C2211yescharacteristic, complemented
126#15689328C2211yescharacteristic, complemented
127#15689326C2211yescharacteristic, complemented
128#15689287C2211yescharacteristic, complemented
129#15689287C2211yescharacteristic, complemented
130#15689286C2211yescharacteristic, complemented
131#15689286C2211yescharacteristic, complemented
132#15689285C2211yescharacteristic, complemented
133#15689285C2211yescharacteristic, complemented
134#15689284C2211yescharacteristic, complemented
135#15689283C2211yescharacteristic, complemented
136#15689282C2211yescharacteristic, complemented
137#15689282C2211yescharacteristic, complemented
138#15689280C2211yescharacteristic, complemented
139#15689280C2211yescharacteristic, complemented
140#15689277C2211yescharacteristic, complemented
141#15689277C2211yescharacteristic, complemented
142#15689275C2211yescharacteristic, complemented
143#15689274C2211yescharacteristic, complemented
144#15689274C2211yescharacteristic, complemented
145#15689272C2211yescharacteristic, complemented
146#15689267C2211yescharacteristic, complemented
147#15689266C2211yescharacteristic, complemented
148#15689265C2211yescharacteristic
149#15689265C2211yescharacteristic
150#15689265C2211yescharacteristic, complemented
151#15689265C2211yescharacteristic, complemented
152#15689265C2211yescharacteristic, complemented
153#15689265C2211yescharacteristic, complemented
154#15689260C2211yescharacteristic, complemented
155#15689260C2211yescharacteristic, complemented
156#15689255C2211yescharacteristic
157#15689255C2211yescharacteristic
158#15689255C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689233C2211yescharacteristic, complemented
161#15689232C2211yescharacteristic, complemented
162#15689224C2211yescharacteristic, complemented
163#15689223C2211yescharacteristic, complemented
164C4×#10625325C2211yescharacteristic, complemented
165#15689208C2211yescharacteristic, complemented
166D8×Dic47C2211yescharacteristic, complemented
167#15689197C2211yescharacteristic, complemented
168#15689195C2211yescharacteristic, complemented
169#15689194C2211yescharacteristic, complemented
170#15689193C2211yescharacteristic, complemented
171C8×D188C2211yescharacteristic, complemented
172C8×C22⋊D47C2211yescharacteristic, complemented
173(C22⋊D47)⋊C8C2211yescharacteristic, complemented
174#15689183C2211yescharacteristic, complemented
175#15689182C2211yescharacteristic, complemented
176#15689128C2211yescharacteristic, complemented
177#15689126C2211yescharacteristic, complemented
178#15689120C2211yescharacteristic, complemented
179#15689120C2211yescharacteristic, complemented
180#15689119C2211yescharacteristic, complemented
181#15689118C2211yescharacteristic, complemented
182#15689116C2211yescharacteristic, complemented
183#15689116C2211yescharacteristic, complemented
184#15689089C2211yescharacteristic
185#15689088C2211yescharacteristic
186C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C2×#135×C47C2211yescharacteristic, complemented
189C22×D8×C47C2211yescharacteristic, complemented
190C47×#546C2211yescharacteristic
191C47×#546C2211yescharacteristic, complemented
192C47×#495C2211yescharacteristic, complemented
193C47×#467C2211yescharacteristic, complemented
194C47×#466C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#463C2211yescharacteristic, complemented
197C47×#450C2211yescharacteristic, complemented
198C47×#450C2211yescharacteristic, complemented
199C47×#449C2211yescharacteristic, complemented
200C47×#449C2211yescharacteristic, complemented
201C4×D8×C47C2211yescharacteristic, complemented
202C8×D4×C47C2211yescharacteristic, complemented
203#13094069—42no—
204#13094069—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625350—21no—
207C2×#10625350C2311yescharacteristic
208C2×#10625350C2311yescharacteristic
209C2×#10625350C2311yescharacteristic
210C2×#10625352—21no—
211C2×#10625352—21no—
212C2×#10625352C2311yescharacteristic
213C2×#10625352C2311yescharacteristic
214C2×#10625352C2311yescharacteristic
215C2×#10625352C2311yescharacteristic
216#41×D47—42no—
217#41×D47—42no—
218C2×Q8×D47C2311yescharacteristic
219C2×Q8×D47C2311yescharacteristic
220C22×C22⋊D47—21no—
221C22×C22⋊D47—21no—
222C2×D4×D47—21no—
223C2×D4×D47—21no—
224C2×D4×D47C2311yescharacteristic
225C2×D4×D47C2311yescharacteristic
226C22×C4×D47—21no—
227C22×C4×D47C2311yescharacteristic
228#13094053—42no—
229#13094050—42no—
230#13094045—42no—
231#13094044—42no—
232#13094043—42no—
233C2×Dic188C2311yescharacteristic
234C2×Dic188C2311yescharacteristic
235C2×#10625337C2311yescharacteristic
236C2×#10625337C2311yescharacteristic
237C2×#10625337C2311yescharacteristic
238C2×#10625325C2311yescharacteristic
239C2×#10625335C2311yescharacteristic
240C2×#10625335C2311yescharacteristic
241C2×#10625335C2311yescharacteristic
242C2×#10625335C2311yescharacteristic
243C2×#10625335C2311yescharacteristic
244C2×#10625335C2311yescharacteristic
245C2×#10625336C2311yescharacteristic
246SD16×D47—42no—
247C2×#10625334C2311yescharacteristic
248C2×#10625334C2311yescharacteristic
249C2×#10625329C2311yescharacteristic
250C2×#10625324C2311yescharacteristic
251C22×C47⋊C8C2311yescharacteristic
252C2×C8×D47C2311yescharacteristic
253C2×C8×D47C2311yescharacteristic
254C2×C8×D47C2311yescharacteristic
255#13094024C2311yescharacteristic
256#13094024C2311yescharacteristic
257#13094023—21no—
258#13094023—21no—
259#13094023C2311yescharacteristic
260#13094022C2311yescharacteristic
261#13094020—21no—
262#13094019—21no—
263#13094017—21no—
264#13094017—21no—
265#13094017—21no—
266#13094017—21no—
267#13094017—21no—
268#13094011—21no—
269#13094011—21no—
270#13094011—21no—
271#13094011—21no—
272#13094011C2311yescharacteristic
273#13094011C2311yescharacteristic
274#13094010—21no—
275#13094010—21no—
276#13094010—21no—
277#13094010—21no—
278#13094010—21no—
279#13094010—21no—
280#13094010—21no—
281#13094010—21no—
282#13094010—21no—
283#13094009—21no—
284#13094009—21no—
285#13094009—21no—
286#13094009D411yescharacteristic
287#13094008—21no—
288#13094008—21no—
289#13094008—21no—
290#13094007—21no—
291#13094007—21no—
292#13094006—21no—
293#13094006—21no—
294#13094006—21no—
295#13094006—21no—
296#13094006—21no—
297#13094006—21no—
298#13094006—21no—
299#13094006—21no—
300#13094006—21no—
301#13094006—21no—
302#13094006—21no—
303#13094006D411yescharacteristic
304#13094005—21no—
305#13094005—21no—
306#13094005—21no—
307#13094005—21no—
308#13094004C2311yescharacteristic
309#13094004C2311yescharacteristic
310#13094004C2311yescharacteristic
311#13094003—21no—
312#13094003—21no—
313#13094003C2311yescharacteristic
314#13094003C2311yescharacteristic
315#13094003C2311yescharacteristic
316#13094003C2311yescharacteristic
317#13094002D411yescharacteristic
318#13094001—21no—
319#13094001—21no—
320#13094001—21no—
321#13094001—21no—
322#13094001D411yescharacteristic
323#13094000C2311yescharacteristic
324#13094000C2311yescharacteristic
325#13094000C2311yescharacteristic
326#13093998—21no—
327#13093998—21no—
328#13093997—21no—
329#13093997—21no—
330#13093997—21no—
331#13093997D411yescharacteristic
332#13093996—21no—
333#13093996—21no—
334#13093996—21no—
335#13093996—21no—
336#13093996D411yescharacteristic
337#13093995—21no—
338#13093995—21no—
339#13093995—21no—
340#13093995C2311yescharacteristic
341#13093995C2311yescharacteristic
342#13093995C2311yescharacteristic
343#13093995C2311yescharacteristic
344#13093995C2311yescharacteristic
345#13093995C2311yescharacteristic
346#13093994—21no—
347#13093994D411yescharacteristic
348#13093993—21no—
349#13093993—21no—
350#13093993—21no—
351#13093993—21no—
352#13093992—21no—
353#13093992—21no—
354#13093992—21no—
355#13093992—21no—
356#13093992D411yescharacteristic
357Q8×Dic47C2311yescharacteristic
358C4×Dic94C2311yescharacteristic
359#13093989—21no—
360#13093989—21no—
361C4×D188C2311yescharacteristic
362C4×D188C2311yescharacteristic
363D4×Dic47—21no—
364D4×Dic47—21no—
365D4×Dic47C2311yescharacteristic
366D4×Dic47C2311yescharacteristic
367#13093986C2311yescharacteristic
368C4×C22⋊D47—21no—
369C4×C22⋊D47—21no—
370C4×C22⋊D47—21no—
371C4×C22⋊D47—21no—
372C4×C22⋊D47C2311yescharacteristic
373C4×C22⋊D47C2311yescharacteristic
374(C22⋊D47)⋊C4—21no—
375(C22⋊D47)⋊C4—21no—
376(C22⋊D47)⋊C4—21no—
377(C22⋊D47)⋊C4—21no—
378#13093983—21no—
379#13093983C2311yescharacteristic
380#13093983C2311yescharacteristic
381#13093982C2311yescharacteristic
382#13093982C2311yescharacteristic
383#13093982C2311yescharacteristic
384#13093981C2311yescharacteristic
385#13093980—21no—
386C2×C4⋊Dic47—21no—
387C2×Dic47⋊C4—21no—
388C4⋊C4×D47—21no—
389C4⋊C4×D47—21no—
390C2×C22⋊Dic47—21no—
391C2×C22⋊Dic47—21no—
392C2×(C2×D47)⋊C4—21no—
393C22⋊C4×D47—21no—
394C22⋊C4×D47—21no—
395C22⋊C4×D47—21no—
396#13093958C2311yescharacteristic
397#13093958C2311yescharacteristic
398#13093957C2311yescharacteristic
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#13093948C2311yescharacteristic
416#13093948C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
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#13093935C2311yescharacteristic
443#13093934C2311yescharacteristic
444C8×Dic47C2311yescharacteristic
445C2×#41×C47C2311yescharacteristic
446C2×#41×C47C2311yescharacteristic
447C22×D4×C47C2311yescharacteristic
448C22×D4×C47C2311yescharacteristic
449#135×C47—42no—
450C2×Q16×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×SD16×C47C2311yescharacteristic
453C2×SD16×C47C2311yescharacteristic
454C2×SD16×C47C2311yescharacteristic
455C2×D8×C47—42no—
456C2×D8×C47C2311yescharacteristic
457C2×D8×C47C2311yescharacteristic
458C2×D8×C47C2311yescharacteristic
459C2×D8×C47C2311yescharacteristic
460C22×C8×C47C2311yescharacteristic
461C22×C8×C47C2311yescharacteristic
462#124×C47C2311yescharacteristic
463#124×C47C2311yescharacteristic
464#123×C47—21no—
465#123×C47—21no—
466C22⋊Q8×C47C2311yescharacteristic
467C22⋊Q8×C47C2311yescharacteristic
468#121×C47—21no—
469#121×C47—21no—
470#121×C47C2311yescharacteristic
471#121×C47C2311yescharacteristic
472#120×C47—21no—
473#120×C47—21no—
474C4×D4×C47C2311yescharacteristic
475C4×D4×C47C2311yescharacteristic
476C4×D4×C47C2311yescharacteristic
477C2×C22⋊C4×C47—21no—
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
489C4×C8×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47C2×D411yescharacteristic
495#41×C47—22no—
496#41×C47—41no—
497#41×C47—41no—
498#41×C47—41no—
499C2×Q8×C47C2411yescharacteristic
500C2×Q8×C47C2411yescharacteristic
501C2×D4×C47—22no—
502C2×D4×C47—21no—
503C2×D4×C47—21no—
504C2×D4×C47—21no—
505C2×D4×C47—21no—
506C2×D4×C47—21no—
507C2×D4×C47—21no—
508C2×D4×C47—41no—
509C2×D4×C47—41no—
510C2×D4×C47—41no—
511C2×D4×C47C2×D411yescharacteristic
512C2×D4×C47C2411yescharacteristic
513C2×D4×C47C2411yescharacteristic
514C2×D4×C47C2411yescharacteristic
515C2×D4×C47C2411yescharacteristic
516C22×C4×C47—21no—
517C22×C4×C47—21no—
518C22×C4×C47—21no—
519C22×C4×C47—21no—
520C22×C4×C47C2411yescharacteristic
521C22×C4×C47C2411yescharacteristic
522C2×C22⋊D47—21no—
523C2×C22⋊D47—21no—
524C2×C22⋊D47—21no—
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—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—44no—
537C2×C22⋊D47—44no—
538C2×C22⋊D47C2×D411yescharacteristic
539C2×C22⋊D47C2×D411yescharacteristic
540C2×C22⋊D47C2×D411yescharacteristic
541C2×C22⋊D47C2×D411yescharacteristic
542C22×Dic47—21no—
543C22×Dic47—21no—
544C22×Dic47—21no—
545C22×Dic47—21no—
546C22×Dic47—21no—
547C22×Dic47—21no—
548C22×Dic47C2×D411yescharacteristic
549#10625354—22no—
550#10625354—41no—
551Q8×D47—41no—
552Q8×D47—41no—
553Q8×D47—41no—
554Q8×D47—41no—
555#10625352—22no—
556#10625352—22no—
557#10625352—41no—
558#10625352—41no—
559#10625352—41no—
560#10625352—41no—
561#10625352—41no—
562#10625352—41no—
563#10625352—44no—
564#10625352—44no—
565D4×D47—22no—
566D4×D47—22no—
567D4×D47—22no—
568D4×D47—41no—
569D4×D47—44no—
570D4×D47—44no—
571#10625350—22no—
572#10625350—22no—
573#10625350—41no—
574#10625350—41no—
575#10625350—41no—
576#10625350—41no—
577#10625350—44no—
578C2×D188—21no—
579C2×D188C2×D411yescharacteristic
580C2×D188C2×D411yescharacteristic
581C2×D188C2411yescharacteristic
582C2×C4×D47—21no—
583C2×C4×D47—21no—
584C2×C4×D47—21no—
585C2×C4×D47—21no—
586C2×C4×D47—21no—
587C2×C4×D47—21no—
588C2×C4×D47—21no—
589C2×C4×D47—41no—
590C2×C4×D47—41no—
591C2×C4×D47—44no—
592C2×C4×D47C2×D411yescharacteristic
593C2×C4×D47C2×D411yescharacteristic
594C2×C4×D47C2411yescharacteristic
595C2×C4×D47C2411yescharacteristic
596C2×C4×D47C2411yescharacteristic
597C2×Dic94—21no—
598C2×Dic94—21no—
599C2×Dic94—21no—
600C2×Dic94—21no—
601C2×Dic94C2×D411yescharacteristic
602C2×Dic94C2411yescharacteristic
603C2×Dic94C2411yescharacteristic
604C2×Dic94C2411yescharacteristic
605Q16×C47—41no—
606SD16×C47—22no—
607SD16×C47—41no—
608SD16×C47—41no—
609SD16×C47—41no—
610D8×C47—22no—
611D8×C47—22no—
612D8×C47—41no—
613D8×C47—41no—
614C2×C8×C47—41no—
615C2×C8×C47—41no—
616C2×C8×C47C2411yescharacteristic
617C2×C8×C47C2411yescharacteristic
618C2×C8×C47C2411yescharacteristic
619C2×C8×C47C2411yescharacteristic
620C4⋊C4×C47—21no—
621C4⋊C4×C47—21no—
622C4⋊C4×C47C2×D411yescharacteristic
623C4⋊C4×C47C2411yescharacteristic
624C4⋊C4×C47C2411yescharacteristic
625C22⋊C4×C47—21no—
626C22⋊C4×C47—21no—
627C22⋊C4×C47—21no—
628C22⋊C4×C47—21no—
629C22⋊C4×C47—21no—
630C22⋊C4×C47—21no—
631C22⋊C4×C47—21no—
632C22⋊C4×C47—21no—
633C22⋊C4×C47—21no—
634C22⋊C4×C47—21no—
635C22⋊C4×C47C2×D411yescharacteristic
636C22⋊C4×C47C2×D411yescharacteristic
637C42×C47C2411yescharacteristic
638C22⋊Dic47—21no—
639C22⋊Dic47—21no—
640C22⋊Dic47—21no—
641C22⋊Dic47—21no—
642C22⋊Dic47—21no—
643C22⋊Dic47—21no—
644C22⋊Dic47—21no—
645C22⋊Dic47—21no—
646C22⋊Dic47—21no—
647C22⋊Dic47—21no—
648C22⋊Dic47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47—21no—
653C22⋊Dic47—21no—
654C22⋊Dic47—21no—
655C22⋊Dic47—21no—
656C22⋊Dic47C2×D411yescharacteristic
657C22⋊Dic47C2×D411yescharacteristic
658#10625337—41no—
659#10625337—41no—
660#10625337—41no—
661#10625336—22no—
662#10625335—22no—
663#10625335—41no—
664#10625335—41no—
665#10625335—41no—
666#10625335—41no—
667#10625335—41no—
668#10625334—22no—
669#10625334—22no—
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⋊C4C2×D411yescharacteristic
711Dic47⋊C4C2×D411yescharacteristic
712Dic47⋊C4C2×D411yescharacteristic
713Dic47⋊C4C2×D411yescharacteristic
714C4×Dic47—21no—
715C4×Dic47—21no—
716C4×Dic47—21no—
717C4×Dic47—21no—
718C4×Dic47—21no—
719C4×Dic47—21no—
720C4×Dic47—21no—
721C4×Dic47C2411yescharacteristic
722#10625329—41no—
723C2×C47⋊C8—41no—
724C2×C47⋊C8C2411yescharacteristic
725C2×C47⋊C8C2411yescharacteristic
726C2×C47⋊C8C2411yescharacteristic
727C2×C47⋊C8C2411yescharacteristic
728Dic188—41no—
729Dic188—41no—
730#10625325—22no—
731#10625324—41no—
732C8×D47—41no—
733C8×D47—41no—
734C8×D47—41no—
735C23×C47—21no—
736C23×C47—21no—
737C23×C47—21no—
738C23×C47—21no—
739C23×C47—42no—
740C23×C47—81no—
741C23×C47—81no—
742C23×C47—81no—
743C23×C47—81no—
744C23×C47—81no—
745C23×C47C22×D411yescharacteristic
746C23×C47C22×D411yescharacteristic
747C22×D47—21no—
748C22×D47—24no—
749C22×D47—41no—
750C22×D47—41no—
751C22×D47—41no—
752C22×D47—42no—
753C22×D47—81no—
754C22×D47—81no—
755C22×D47—81no—
756C22×D47—81no—
757C22×D47C22×D411yescharacteristic
758C22×D47C22×D411yescharacteristic
759C22×D47C22×D411yescharacteristic
760Q8×C47—21no—
761Q8×C47—21no—
762Q8×C47—21no—
763Q8×C47—21no—
764D4×C47—21no—
765D4×C47—21no—
766D4×C47—21no—
767D4×C47—21no—
768D4×C47—21no—
769D4×C47—21no—
770D4×C47—21no—
771D4×C47—41no—
772D4×C47—42no—
773D4×C47—42no—
774D4×C47—81no—
775D4×C47—81no—
776D4×C47—81no—
777D4×C47—81no—
778D4×C47H(5,𝔽2)12yes—
779C2×C4×C47—21no—
780C2×C4×C47—21no—
781C2×C4×C47—21no—
782C2×C4×C47—21no—
783C2×C4×C47—21no—
784C2×C4×C47—21no—
785C2×C4×C47—21no—
786C2×C4×C47—21no—
787C2×C4×C47—42no—
788C2×C4×C47—81no—
789C2×C4×C47—81no—
790C2×C4×C47—81no—
791C2×C4×C47C22×D411yescharacteristic
792C2×C4×C47C22×D411yescharacteristic
793C2×C4×C47C22×D411yescharacteristic
794C2×C4×C47C22×D411yescharacteristic
795C2×C4×C47C2511yescharacteristic
796C22⋊D47—24no—
797C22⋊D47—41no—
798C22⋊D47—41no—
799C22⋊D47—41no—
800C22⋊D47—41no—
801C22⋊D47—42no—
802C22⋊D47—42no—
803C22⋊D47—42no—
804C22⋊D47—42no—
805C22⋊D47—42no—
806C22⋊D47—42no—
807C22⋊D47—81no—
808C22⋊D47—81no—
809C22⋊D47—81no—
810C22⋊D47—81no—
811C22⋊D47—81no—
812C22⋊D47—81no—
813C22⋊D47—81no—
814C2×Dic47—21no—
815C2×Dic47—21no—
816C2×Dic47—21no—
817C2×Dic47—21no—
818C2×Dic47—21no—
819C2×Dic47—21no—
820C2×Dic47—21no—
821C2×Dic47—41no—
822C2×Dic47—42no—
823C2×Dic47—42no—
824C2×Dic47—42no—
825C2×Dic47—81no—
826C2×Dic47—81no—
827C2×Dic47—81no—
828C2×Dic47C22×D411yescharacteristic
829C2×Dic47C22×D411yescharacteristic
830C2×Dic47C22×D411yescharacteristic
831C2×Dic47C22×D411yescharacteristic
832C2×Dic47C22×D411yescharacteristic
833D188—21no—
834D188—41no—
835D188—41no—
836D188—42no—
837D188H(5,𝔽2)12yes—
838C4×D47—21no—
839C4×D47—21no—
840C4×D47—21no—
841C4×D47—21no—
842C4×D47—21no—
843C4×D47—21no—
844C4×D47—41no—
845C4×D47—41no—
846C4×D47—42no—
847C4×D47—42no—
848C4×D47—42no—
849C4×D47—42no—
850C4×D47—81no—
851C4×D47—81no—
852C4×D47—81no—
853Dic94—21no—
854Dic94—21no—
855Dic94—21no—
856Dic94—21no—
857Dic94—21no—
858Dic94—21no—
859Dic94—41no—
860Dic94—42no—
861Dic94—81no—
862Dic94—81no—
863Dic94—81no—
864C8×C47—21no—
865C8×C47—21no—
866C8×C47—21no—
867C8×C47—21no—
868C47⋊C8—21no—
869C47⋊C8—21no—
870C47⋊C8—21no—
871C47⋊C8—21no—
872#61636—471nomaximal, Sylow
873C22×C47—21no—
874C22×C47—21no—
875C22×C47—21no—
876C22×C47—21no—
877C22×C47—22no—
878C22×C47—21no—
879C22×C47—21no—
880C22×C47—41no—
881C22×C47—41no—
882C22×C47—41no—
883C22×C47—41no—
884C22×C47—41no—
885C22×C47—41no—
886C22×C47—41no—
887C22×C47—41no—
888C22×C47—41no—
889C22×C47—41no—
890C22×C47—41no—
891C22×C47—162no—
892C22×C47—162no—
893C22×C47C23×D411yescharacteristic
894C2×D47—21no—
895C2×D47—21no—
896C2×D47—21no—
897C2×D47—21no—
898C2×D47—21no—
899C2×D47—21no—
900C2×D47—21no—
901C2×D47—21no—
902C2×D47—21no—
903C2×D47—22no—
904C2×D47—41no—
905C2×D47—41no—
906C2×D47—84no—
907C2×D47—82no—
908C2×D47—162no—
909C4×C47—21no—
910C4×C47—21no—
911C4×C47—21no—
912C4×C47—21no—
913C4×C47—41no—
914C4×C47—41no—
915C4×C47—41no—
916C4×C47—41no—
917C4×C47C2×H(5,𝔽2)11yescharacteristic
918C4×C47C2×H(5,𝔽2)11yescharacteristic
919Dic47—21no—
920Dic47—21no—
921Dic47—21no—
922Dic47—21no—
923Dic47—21no—
924Dic47—41no—
925Dic47—41no—
926Dic47—41no—
927Dic47—41no—
928Dic47—41no—
929Dic47—41no—
930Dic47—41no—
931#3540—471no—
932#3485—471no—
933#3319—471no—
934#3319—471no—
935#3311—471no—
936#3311—471no—
937#3303—471no—
938#3303—471no—
939#3302—471no—
940#3302—471no—
941#3282—471no—
942#3282—471no—
943#3280—471no—
944#3280D4711yescharacteristic, complemented
945#3269—471no—
946#3269—471no—
947#3267—471no—
948#3267—471no—
949#3225—471no—
950#3225—471no—
951#3202—471no—
952#3200—471no—
953#3191—471no—
954#3191—471no—
955#3118—471no—
956#3118—471no—
957#3009—471no—
958#3008—471no—
959#3002—471no—
960#3002—471no—
961#2977—471no—
962C2×C47—41no—
963C2×C47—42no—
964C2×C47—41no—
965C2×C47—81no—
966C2×C47—81no—
967C2×C47—81no—
968C2×C47#348411yescharacteristic
969C2×C47#358411yescharacteristic
970C2×C47#358411yescharacteristic
971D47—41no—
972D47—41no—
973D47—41no—
974D47—42no—
975C2×H(5,𝔽2)—471no—
976C22×#41—471no—
977C2×#137—471no—
978C2×AGL(1,ℤ/8)—471no—
979C2×#135—471no—
980C2×#135—471no—
981C2×#135—471no—
982C2×#135C2×D4711yescharacteristic, complemented
983C22×SD16—471no—
984C22×D8C2×D4711yescharacteristic, complemented
985H(3,𝔽4)—941no—
986#560—941no—
987#559—941no—
988#556—471no—
989#556—471no—
990#555—471no—
991#555—471no—
992#551—941no—
993#548—471no—
994#548—471no—
995#547—471no—
996#547—471no—
997#547—471no—
998#547—471no—
999#547—941no—
1000#547—941no—
1001#546—471no—
1002#546—471no—
1003#546—471no—
1004#546—471no—
1005#546—941no—
1006#546—941no—
1007#546C2×D4711yescharacteristic
1008#546C2×D4711yescharacteristic, complemented
1009#542—471no—
1010#542—471no—
1011#542—941no—
1012#542—941no—
1013#538—941no—
1014#538—941no—
1015#536—471no—
1016#536—471no—
1017#536—471no—
1018#535—471no—
1019#534—941no—
1020#534—941no—
1021#525—471no—
1022#525—471no—
1023#525—471no—
1024#525—471no—
1025C2×#123—941no—
1026C2×#123—941no—
1027#518—471no—
1028#497—471no—
1029#497—471no—
1030#495—471no—
1031#495C2×D4711yescharacteristic, complemented
1032#489—471no—
1033#489—471no—
1034#487—471no—
1035#487—471no—
1036#485—471no—
1037#485—471no—
1038#485—471no—
1039#485—471no—
1040#485—471no—
1041#485—471no—
1042#485—471no—
1043#485—471no—
1044#482—471no—
1045#482—471no—
1046#482—471no—
1047#482—471no—
1048#476—471no—
1049#476—471no—
1050#474—471no—
1051#474—471no—
1052#470—471no—
1053#470—471no—
1054#468—471no—
1055#468—471no—
1056#467—471no—
1057#467—471no—
1058#467—471no—
1059#467C2×D4711yescharacteristic, complemented
1060#466—471no—
1061#466C2×D4711yescharacteristic, complemented
1062#465—471no—
1063#465—471no—
1064#465—471no—
1065#465—471no—
1066#465—471no—
1067#465—471no—
1068#464—471no—
1069#464—471no—
1070#463—471no—
1071#463—471no—
1072#463—471no—
1073#463—471no—
1074#463C2×D4711yescharacteristic, complemented
1075#463C2×D4711yescharacteristic, complemented
1076#462—471no—
1077#462—471no—
1078#461—471no—
1079#461—471no—
1080#452—471no—
1081#452—471no—
1082#452—471no—
1083#452—471no—
1084#452—471no—
1085#452—471no—
1086#452—471no—
1087#452—471no—
1088#452—471no—
1089#452—471no—
1090#451—471no—
1091#451—471no—
1092#451—471no—
1093#451—471no—
1094#450—471no—
1095#450—471no—
1096#450—471no—
1097#450—471no—
1098#450C2×D4711yescharacteristic, complemented
1099#450C2×D4711yescharacteristic, complemented
1100#449—471no—
1101#449—471no—
1102#449—471no—
1103#449—471no—
1104#449—471no—
1105#449—471no—
1106#449—471no—
1107#449—471no—
1108#449C2×D4711yescharacteristic, complemented
1109#449C2×D4711yescharacteristic, complemented
1110#448—471no—
1111#448—471no—
1112#447—471no—
1113#447—471no—
1114#447—471no—
1115#447—471no—
1116#442—471no—
1117#442—471no—
1118#440—471no—
1119#440—471no—
1120C4×SD16—471no—
1121C4×SD16—471no—
1122C4×D8—471no—
1123C4×D8C2×D4711yescharacteristic, complemented
1124#435—471no—
1125#435—471no—
1126#435—471no—
1127#435—471no—
1128C8×D4—471no—
1129C8×D4—471no—
1130C8×D4—471no—
1131C8×D4C2×D4711yescharacteristic, complemented
1132#433—471no—
1133#433—471no—
1134#418—471no—
1135#418—471no—
1136#416—471no—
1137#416—471no—
1138#416—471no—
1139#416—471no—
1140#416—471no—
1141#416—471no—
1142#408—471no—
1143#408—471no—
1144C2×C22⋊C8—471no—
1145C2×C22⋊C8—471no—
1146C47#6163611yescharacteristic, complemented, Sylow
1147H(5,𝔽2)—1882no—
1148H(5,𝔽2)—1882no—
1149C2×#41—471no—
1150C2×#41—471no—
1151C2×#41—471no—
1152C2×#41—471no—
1153C2×#41—471no—
1154C2×#41—471no—
1155C2×#41—471no—
1156C2×#41—471no—
1157C2×#41—941no—
1158C2×#41—941no—
1159C2×#41—941no—
1160C2×#41—1882no—
1161C2×#41—1882no—
1162C2×#41C22×D4711yescharacteristic
1163C2×#41C22×D4711yescharacteristic
1164C22×Q8—471no—
1165C22×Q8—471no—
1166C22×D4—471no—
1167C22×D4—471no—
1168C22×D4—941no—
1169C22×D4—941no—
1170C22×D4—941no—
1171C22×D4—941no—
1172C22×D4C22×D4711yescharacteristic
1173C22×D4C22×D4711yescharacteristic
1174C23×C4—471no—
1175C23×C4—941no—
1176#137—1882no—
1177AGL(1,ℤ/8)—1882no—
1178#135—42no—
1179#135—1882no—
1180#135—1882no—
1181#135—1882no—
1182C2×Q16—471no—
1183C2×Q16—471no—
1184C2×Q16—471no—
1185C2×Q16—471no—
1186C2×Q16—471no—
1187C2×Q16C22×D4711yescharacteristic
1188C2×SD16—471no—
1189C2×SD16—471no—
1190C2×SD16—471no—
1191C2×SD16—471no—
1192C2×SD16—471no—
1193C2×SD16—471no—
1194C2×SD16—471no—
1195C2×SD16—471no—
1196C2×SD16—1882no—
1197C2×SD16C22×D4711yescharacteristic
1198C2×SD16C22×D4711yescharacteristic
1199C2×SD16C22×D4711yescharacteristic
1200C2×SD16C22×D4711yescharacteristic
1201C2×D8—42no—
1202C2×D8—471no—
1203C2×D8—471no—
1204C2×D8C22×D4711yescharacteristic
1205C2×D8C22×D4711yescharacteristic
1206C2×D8C22×D4711yescharacteristic
1207C2×D8C22×D4711yescharacteristic
1208C2×M16—471no—
1209C2×M16—471no—
1210C22×C8—471no—
1211C22×C8—471no—
1212C22×C8—471no—
1213C22×C8—471no—
1214C22×C8C22×D4711yescharacteristic
1215C22×C8C22×D4711yescharacteristic
1216C4⋊Q8—471no—
1217C4⋊Q8—471no—
1218C4⋊Q8—471no—
1219C4⋊Q8—471no—
1220C4⋊Q8—941no—
1221C4⋊Q8—941no—
1222#127—941no—
1223#126—941no—
1224#126—941no—
1225#126—941no—
1226#126—941no—
1227#126—941no—
1228#126—941no—
1229#124—471no—
1230#124—471no—
1231#124—941no—
1232#124—941no—
1233#124—941no—
1234#124—941no—
1235#124—941no—
1236#124—941no—
1237#124—941no—
1238#124—941no—
1239#124—941no—
1240#124—941no—
1241#124—941no—
1242#124—941no—
1243#124—941no—
1244#124C22×D4711yescharacteristic
1245#124C22×D4711yescharacteristic
1246#123—21no—
1247#123—21no—
1248#123—471no—
1249#123—471no—
1250#123—941no—
1251#123—941no—
1252#123—941no—
1253#123—941no—
1254#123—941no—
1255#123—941no—
1256#123—941no—
1257#123—941no—
1258#123—941no—
1259#123—941no—
1260#123—941no—
1261#123—941no—
1262#123—941no—
1263#123—941no—
1264#123—941no—
1265#123—941no—
1266#123—941no—
1267#123—941no—
1268#123—941no—
1269#123—941no—
1270#123—941no—
1271#123—941no—
1272#123—941no—
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—471no—
1282C22⋊Q8—471no—
1283C22⋊Q8—471no—
1284C22⋊Q8—471no—
1285C22⋊Q8—941no—
1286C22⋊Q8—941no—
1287C22⋊Q8—941no—
1288C22⋊Q8—941no—
1289C22⋊Q8—941no—
1290C22⋊Q8—941no—
1291C22⋊Q8C22×D4711yescharacteristic
1292C22⋊Q8C22×D4711yescharacteristic
1293#121—21no—
1294#121—21no—
1295#121—471no—
1296#121—471no—
1297#121—471no—
1298#121—471no—
1299#121—471no—
1300#121—471no—
1301#121—471no—
1302#121—471no—
1303#121—941no—
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#121C22×D4711yescharacteristic
1316#121C22×D4711yescharacteristic
1317#120—21no—
1318#120—21no—
1319#120—471no—
1320#120—471no—
1321#120—941no—
1322#120—941no—
1323#120—941no—
1324#120—941no—
1325#120—941no—
1326#120—941no—
1327#120—941no—
1328#120—941no—
1329#120—941no—
1330C4×Q8—471no—
1331C4×Q8—471no—
1332C4×Q8—941no—
1333C4×Q8—941no—
1334C4×D4—471no—
1335C4×D4—471no—
1336C4×D4—471no—
1337C4×D4—471no—
1338C4×D4—471no—
1339C4×D4—471no—
1340C4×D4—471no—
1341C4×D4—941no—
1342C4×D4—941no—
1343C4×D4—941no—
1344C4×D4—941no—
1345C4×D4—941no—
1346C4×D4—941no—
1347C4×D4—941no—
1348C4×D4—941no—
1349C4×D4—941no—
1350C4×D4—941no—
1351C4×D4C22×D4711yescharacteristic
1352C4×D4C22×D4711yescharacteristic
1353C4×D4C22×D4711yescharacteristic
1354#117—471no—
1355#117—471no—
1356#117—471no—
1357#117—471no—
1358#117—471no—
1359#117—471no—
1360#117—941no—
1361#117—941no—
1362C2×C4⋊C4—941no—
1363C2×C4⋊C4—941no—
1364C2×C4⋊C4—941no—
1365C2×C4⋊C4—941no—
1366C2×C22⋊C4—21no—
1367C2×C22⋊C4—21no—
1368C2×C22⋊C4—941no—
1369C2×C22⋊C4—941no—
1370C2×C22⋊C4—941no—
1371C2×C22⋊C4—941no—
1372C2×C22⋊C4—941no—
1373C2×C22⋊C4—941no—
1374#107—471no—
1375#107—471no—
1376#107—471no—
1377#107C22×D4711yescharacteristic
1378#106—471no—
1379#106—471no—
1380#106—471no—
1381#106—471no—
1382C4⋊C8—471no—
1383C4⋊C8—471no—
1384C4⋊C8—471no—
1385C4⋊C8C22×D4711yescharacteristic
1386#103—471no—
1387#103—471no—
1388#103—471no—
1389#103—471no—
1390#103—471no—
1391#103—471no—
1392#103—471no—
1393#103—471no—
1394#103—471no—
1395#103—471no—
1396#103—471no—
1397#103—471no—
1398#103—471no—
1399#103—471no—
1400#103C22×D4711yescharacteristic
1401#103C22×D4711yescharacteristic
1402#102—471no—
1403#102—471no—
1404#102—471no—
1405#102—471no—
1406#102—471no—
1407#102—471no—
1408#102—471no—
1409#102—471no—
1410#102—471no—
1411#102—471no—
1412#102—471no—
1413#102—471no—
1414#102C22×D4711yescharacteristic
1415#102C22×D4711yescharacteristic
1416#102C22×D4711yescharacteristic
1417#102C22×D4711yescharacteristic
1418C22⋊C8—471no—
1419C22⋊C8—471no—
1420C22⋊C8—471no—
1421C22⋊C8—471no—
1422C22⋊C8—471no—
1423C22⋊C8—471no—
1424C22⋊C8—471no—
1425C22⋊C8—471no—
1426C22⋊C8—471no—
1427C22⋊C8—471no—
1428C22⋊C8C22×D4711yescharacteristic
1429C22⋊C8C22×D4711yescharacteristic
1430#97—471no—
1431#97—471no—
1432C4×C8—471no—
1433C4×C8C22×D4711yescharacteristic
1434C24—21no—
1435C24—21no—
1436C24—471no—
1437C24—941no—
1438C24—941no—
1439#41—22no—
1440#41—41no—
1441#41—41no—
1442#41—41no—
1443#41—942no—
1444#41—942no—
1445#41—942no—
1446#41—942no—
1447#41—942no—
1448#41—1881no—
1449#41—1881no—
1450#41—1881no—
1451#41—1881no—
1452#41—1884no—
1453#41—1881no—
1454#41—1881no—
1455#41—1881no—
1456#41—1881no—
1457#41—1881no—
1458#41—1881no—
1459#41—1881no—
1460#41—1884no—
1461#41—1884no—
1462C2×Q8—471no—
1463C2×Q8—471no—
1464C2×Q8—471no—
1465C2×Q8—471no—
1466C2×Q8—941no—
1467C2×Q8—941no—
1468C2×Q8—941no—
1469C2×Q8—941no—
1470C2×Q8—1881no—
1471C2×Q8—1881no—
1472C2×Q8—1881no—
1473C2×Q8—1881no—
1474C2×Q8C23×D4711yescharacteristic
1475C2×Q8C23×D4711yescharacteristic
1476C2×D4—22no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—41no—
1484C2×D4—41no—
1485C2×D4—41no—
1486C2×D4—471no—
1487C2×D4—471no—
1488C2×D4—471no—
1489C2×D4—471no—
1490C2×D4—471no—
1491C2×D4—471no—
1492C2×D4—471no—
1493C2×D4—941no—
1494C2×D4—941no—
1495C2×D4—941no—
1496C2×D4—942no—
1497C2×D4—942no—
1498C2×D4—942no—
1499C2×D4—941no—
1500C2×D4—941no—
1501C2×D4—941no—
1502C2×D4—941no—
1503C2×D4—941no—
1504C2×D4—941no—
1505C2×D4—941no—
1506C2×D4—941no—
1507C2×D4—941no—
1508C2×D4—941no—
1509C2×D4—941no—
1510C2×D4—941no—
1511C2×D4—1881no—
1512C2×D4—1884no—
1513C2×D4—1884no—
1514C2×D4—1884no—
1515C2×D4—1884no—
1516C2×D4D4×D4711yescharacteristic
1517C2×D4C23×D4711yescharacteristic
1518C2×D4C23×D4711yescharacteristic
1519C2×D4C23×D4711yescharacteristic
1520C2×D4C23×D4711yescharacteristic
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—471no—
1526C22×C4—471no—
1527C22×C4—471no—
1528C22×C4—471no—
1529C22×C4—471no—
1530C22×C4—471no—
1531C22×C4—941no—
1532C22×C4—941no—
1533C22×C4—941no—
1534C22×C4—941no—
1535C22×C4—941no—
1536C22×C4—941no—
1537C22×C4—941no—
1538C22×C4—941no—
1539C22×C4—941no—
1540C22×C4—941no—
1541C22×C4—941no—
1542C22×C4—941no—
1543C22×C4—941no—
1544C22×C4—1881no—
1545C22×C4—1881no—
1546C22×C4—1884no—
1547C22×C4C23×D4711yescharacteristic
1548C22×C4C23×D4711yescharacteristic
1549Q16—41no—
1550Q16—1881no—
1551Q16—1881no—
1552Q16—1881no—
1553Q16—1881no—
1554Q16—1881no—
1555SD16—22no—
1556SD16—41no—
1557SD16—41no—
1558SD16—41no—
1559SD16—942no—
1560SD16—942no—
1561SD16—942no—
1562SD16—1881no—
1563SD16—1881no—
1564SD16—1881no—
1565SD16—1881no—
1566SD16—1881no—
1567D8—22no—
1568D8—22no—
1569D8—41no—
1570D8—41no—
1571D8—942no—
1572D8—942no—
1573M16—1881no—
1574M16—1881no—
1575C2×C8—41no—
1576C2×C8—41no—
1577C2×C8—471no—
1578C2×C8—471no—
1579C2×C8—471no—
1580C2×C8—471no—
1581C2×C8—1881no—
1582C2×C8—1881no—
1583C2×C8—1881no—
1584C2×C8—1881no—
1585C2×C8C23×D4711yescharacteristic
1586C2×C8C23×D4711yescharacteristic
1587C2×C8C23×D4711yescharacteristic
1588C2×C8C23×D4711yescharacteristic
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—471no—
1592C4⋊C4—471no—
1593C4⋊C4—471no—
1594C4⋊C4—471no—
1595C4⋊C4—471no—
1596C4⋊C4—471no—
1597C4⋊C4—471no—
1598C4⋊C4—471no—
1599C4⋊C4—471no—
1600C4⋊C4—941no—
1601C4⋊C4—941no—
1602C4⋊C4—941no—
1603C4⋊C4—941no—
1604C4⋊C4—941no—
1605C4⋊C4—941no—
1606C4⋊C4—941no—
1607C4⋊C4—941no—
1608C4⋊C4—941no—
1609C4⋊C4—941no—
1610C4⋊C4—941no—
1611C4⋊C4—941no—
1612C4⋊C4—941no—
1613C4⋊C4—941no—
1614C4⋊C4—941no—
1615C4⋊C4—941no—
1616C4⋊C4—941no—
1617C4⋊C4—941no—
1618C4⋊C4D4×D4711yescharacteristic
1619C4⋊C4C23×D4711yescharacteristic
1620C4⋊C4C23×D4711yescharacteristic
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—471no—
1632C22⋊C4—471no—
1633C22⋊C4—471no—
1634C22⋊C4—471no—
1635C22⋊C4—471no—
1636C22⋊C4—471no—
1637C22⋊C4—471no—
1638C22⋊C4—471no—
1639C22⋊C4—941no—
1640C22⋊C4—941no—
1641C22⋊C4—941no—
1642C22⋊C4—941no—
1643C22⋊C4—941no—
1644C22⋊C4—941no—
1645C22⋊C4—941no—
1646C22⋊C4—941no—
1647C22⋊C4—941no—
1648C22⋊C4—941no—
1649C22⋊C4—941no—
1650C22⋊C4—941no—
1651C22⋊C4—941no—
1652C22⋊C4—941no—
1653C22⋊C4—941no—
1654C22⋊C4—941no—
1655C22⋊C4—941no—
1656C22⋊C4—941no—
1657C22⋊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⋊C4D4×D4711yescharacteristic
1669C22⋊C4D4×D4711yescharacteristic
1670C42—471no—
1671C42—941no—
1672C42—941no—
1673C42—941no—
1674C42—941no—
1675C42—941no—
1676C42—941no—
1677C42—941no—
1678C42C23×D4711yescharacteristic
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—42no—
1684C23—81no—
1685C23—81no—
1686C23—81no—
1687C23—81no—
1688C23—81no—
1689C23—471no—
1690C23—471no—
1691C23—471no—
1692C23—944no—
1693C23—941no—
1694C23—3761no—
1695C23—3761no—
1696C23—3761no—
1697C23—3761no—
1698C23—1881no—
1699C23—1881no—
1700C23—1881no—
1701C23—1882no—
1702C23C2×D4×D4711yescharacteristic
1703C23C2×D4×D4711yescharacteristic
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—941no—
1709Q8—941no—
1710Q8—941no—
1711Q8—941no—
1712Q8—941no—
1713Q8—941no—
1714Q8—3761no—
1715Q8—3761no—
1716Q8—3761no—
1717Q8—1881no—
1718Q8—1882no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—21no—
1725D4—21no—
1726D4—41no—
1727D4—42no—
1728D4—42no—
1729D4—81no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—472no—
1734D4—944no—
1735D4—941no—
1736D4—3761no—
1737D4—3761no—
1738D4—3761no—
1739D4—3761no—
1740D4—3761no—
1741D4—3761no—
1742D4—3761no—
1743D4—1881no—
1744D4—1881no—
1745D4—1882no—
1746D4—1881no—
1747D4—1881no—
1748D4—1881no—
1749D4—1881no—
1750D4—1882no—
1751D4—1882no—
1752D4—1882no—
1753D4—1882no—
1754D4—1882no—
1755D4—1882no—
1756D4#1309406912yes—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—42no—
1766C2×C4—81no—
1767C2×C4—81no—
1768C2×C4—81no—
1769C2×C4—471no—
1770C2×C4—471no—
1771C2×C4—471no—
1772C2×C4—471no—
1773C2×C4—471no—
1774C2×C4—941no—
1775C2×C4—941no—
1776C2×C4—941no—
1777C2×C4—941no—
1778C2×C4—941no—
1779C2×C4—941no—
1780C2×C4—941no—
1781C2×C4—941no—
1782C2×C4—941no—
1783C2×C4—941no—
1784C2×C4—941no—
1785C2×C4—941no—
1786C2×C4—941no—
1787C2×C4—3761no—
1788C2×C4—3761no—
1789C2×C4—3761no—
1790C2×C4—3761no—
1791C2×C4—3761no—
1792C2×C4—3761no—
1793C2×C4—1881no—
1794C2×C4—1881no—
1795C2×C4—1882no—
1796C2×C4—1882no—
1797C2×C4—1882no—
1798C2×C4—1882no—
1799C2×C4—1881no—
1800C2×C4—1882no—
1801C2×C4—1882no—
1802C2×C4—1882no—
1803C2×C4C2×D4×D4711yescharacteristic
1804C2×C4C2×D4×D4711yescharacteristic
1805C2×C4C2×D4×D4711yescharacteristic
1806C2×C4C2×D4×D4711yescharacteristic
1807C2×C4C24×D4711yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—941no—
1813C8—941no—
1814C8—941no—
1815C8—941no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—22no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—162no—
1835C22—162no—
1836C22—941no—
1837C22—941no—
1838C22—941no—
1839C22—941no—
1840C22—941no—
1841C22—941no—
1842C22—941no—
1843C22—941no—
1844C22—941no—
1845C22—942no—
1846C22—3764no—
1847C22—3762no—
1848C22—1881no—
1849C22—1881no—
1850C22—7522no—
1851C22C22×D4×D4711yescharacteristic
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—21no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—941no—
1861C4—941no—
1862C4—941no—
1863C4—941no—
1864C4—941no—
1865C4—1881no—
1866C4—1881no—
1867C4—1881no—
1868C4—1881no—
1869C4—1881no—
1870C4—1881no—
1871C4—1881no—
1872C4H(5,𝔽2)×D4711yescharacteristic
1873C4C2×#1309406911yescharacteristic
1874C2—41no—
1875C2—41no—
1876C2—42no—
1877C2—81no—
1878C2—81no—
1879C2—81no—
1880C2—1881no—
1881C2—1881no—
1882C2—1881no—
1883C2—1882no—
1884C2#2025701611yescharacteristic
1885C2#2025815611yescharacteristic
1886C2#2025815711yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3280C2
socleC22×C47C23×D4
hypercenter#3280D47
hypocenterC47#61636
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3280

Complements

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

NH ≅ G/Ntype
1. #20257652C2semidirect
2. #20257025C2semidirect
3. #20255551C2semidirect
4. #20255550C2semidirect
5. #20255424C2semidirect
6. #20255417C2semidirect
7. #20255318C2semidirect
8. #20255309C2semidirect
9. #20255306C2semidirect
10. #20255300C2semidirect
11. #20255098C2semidirect
12. #20255094C2semidirect
13. #20255073C2semidirect
14. #20254949C2semidirect
15. #20254943C2semidirect
16. #20254911C2semidirect
17. #20254909C2semidirect
18. #20254494C2semidirect
19. #20254490C2semidirect
20. #20254278C2semidirect
21. #20254257C2semidirect
22. #20254178C2semidirect
23. #20254175C2semidirect
24. #20253569C2semidirect
25. #20253568C2semidirect
26. #20252660C2semidirect
27. #20252652C2semidirect
28. #20252603C2semidirect
29. #20252602C2semidirect
30. #20252441C2semidirect
31. C47×#3280C2semidirect
33. C2×#41×D47C22semidirect
34. C2×#13094053C22semidirect
35. C2×#13094050C22semidirect
36. C2×#13094045C22semidirect
37. C2×#13094044C22semidirect
38. C2×#13094043C22semidirect
39. C2×SD16×D47C22semidirect
43. #15689844C22semidirect
44. #15689843C22semidirect
45. #15689838C22semidirect
46. #15689837C22semidirect
48. #15689781C22semidirect
49. #15689780C22semidirect
51. #15689777C22semidirect
54. #15689772C22semidirect
56. #15689770C22semidirect
58. #15689767C22semidirect
59. #15689766C22semidirect
62. #15689742C22semidirect
65. #15689738C22semidirect
70. #15689693C22semidirect
74. #15689633C22semidirect
75. #15689633C22semidirect
77. #15689630C22semidirect
80. #15689595C22semidirect
81. #15689518C22semidirect
82. #15689514C22semidirect
83. #15689506C22semidirect
84. #15689482C22semidirect
85. #15689481C22semidirect
86. #15689474C22semidirect
87. #15689472C22semidirect
88. #15689466C22semidirect
89. #15689466C22semidirect
90. #15689466C22semidirect
91. #15689465C22semidirect
92. #15689465C22semidirect
93. #15689463C22semidirect
94. #15689463C22semidirect
95. #15689461C22semidirect
96. #15689446C22semidirect
97. #15689445C22semidirect
98. #15689445C22semidirect
99. #15689444C22semidirect
100. #15689413C22semidirect
101. #15689411C22semidirect
102. #15689404C22semidirect
103. #15689402C22semidirect
104. #15689379C22semidirect
105. #15689379C22semidirect
106. #15689368C22semidirect
107. #15689366C22semidirect
108. #15689364C22semidirect
109. #15689364C22semidirect
110. #15689363C22semidirect
111. #15689356C22semidirect
112. #15689351C22semidirect
113. #15689351C22semidirect
114. #15689350C22semidirect
115. #15689350C22semidirect
116. #15689349C22semidirect
117. #15689349C22semidirect
118. #15689343C22semidirect
119. #15689342C22semidirect
120. #15689337C22semidirect
121. #15689336C22semidirect
122. #15689336C22semidirect
123. #15689335C22semidirect
124. #15689334C22semidirect
125. #15689331C22semidirect
126. #15689328C22semidirect
127. #15689326C22semidirect
128. #15689287C22semidirect
129. #15689287C22semidirect
130. #15689286C22semidirect
131. #15689286C22semidirect
132. #15689285C22semidirect
133. #15689285C22semidirect
134. #15689284C22semidirect
135. #15689283C22semidirect
136. #15689282C22semidirect
137. #15689282C22semidirect
138. #15689280C22semidirect
139. #15689280C22semidirect
140. #15689277C22semidirect
141. #15689277C22semidirect
142. #15689275C22semidirect
143. #15689274C22semidirect
144. #15689274C22semidirect
145. #15689272C22semidirect
146. #15689267C22semidirect
147. #15689266C22semidirect
150. #15689265C22semidirect
151. #15689265C22semidirect
152. #15689265C22semidirect
153. #15689265C22semidirect
154. #15689260C22semidirect
155. #15689260C22semidirect
158. #15689255C22semidirect
159. #15689255C22semidirect
160. #15689233C22semidirect
161. #15689232C22semidirect
162. #15689224C22semidirect
163. #15689223C22semidirect
164. C4×#10625325C22semidirect
165. #15689208C22semidirect
166. D8×Dic47C22semidirect
167. #15689197C22semidirect
168. #15689195C22semidirect
169. #15689194C22semidirect
170. #15689193C22semidirect
171. C8×D188C22semidirect
172. C8×C22⋊D47C22semidirect
173. (C22⋊D47)⋊C8C22semidirect
174. #15689183C22semidirect
175. #15689182C22semidirect
176. #15689128C22semidirect
177. #15689126C22semidirect
178. #15689120C22semidirect
179. #15689120C22semidirect
180. #15689119C22semidirect
181. #15689118C22semidirect
182. #15689116C22semidirect
183. #15689116C22semidirect
186. C2×(C2×D47)⋊C8C22semidirect
187. C22⋊C8×D47C22semidirect
188. C2×#135×C47C22semidirect
189. C22×D8×C47C22semidirect
191. C47×#546C22semidirect
192. C47×#495C22semidirect
193. C47×#467C22semidirect
194. C47×#466C22semidirect
195. C47×#463C22semidirect
196. C47×#463C22semidirect
197. C47×#450C22semidirect
198. C47×#450C22semidirect
199. C47×#449C22semidirect
200. C47×#449C22semidirect
201. C4×D8×C47C22semidirect
202. C8×D4×C47C22semidirect
944. #3280D47semidirect
982. C2×#135C2×D47semidirect
984. C22×D8C2×D47semidirect
1008. #546C2×D47semidirect
1031. #495C2×D47semidirect
1059. #467C2×D47semidirect
1061. #466C2×D47semidirect
1074. #463C2×D47semidirect
1075. #463C2×D47semidirect
1098. #450C2×D47semidirect
1099. #450C2×D47semidirect
1108. #449C2×D47semidirect
1109. #449C2×D47semidirect
1123. C4×D8C2×D47semidirect
1131. C8×D4C2×D47semidirect
1146. C47#61636semidirect

Maximal subgroups

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

subgroupindex
#202576522
#202570252
#202555512
#202555502
#202554242
#202554172
#202553182
#202553092
#202553062
#202553002
#202550982
#202550942
#202550732
#202549492
#202549432
#202549112
#202549092
#202544942
#202544902
#202542782
#202542572
#202541782
#202541752
#202535692
#202535682
#202526602
#202526522
#202526032
#202526022
#202524412
C47×#32802
#6163647