Finite Group Databasebeta

← #27093406

Subgroups — #27093406

Order 12032.

2124 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D47C211yesmaximal, characteristic, complemented
2D4×#10625352C211yesmaximal, characteristic
3#20255662C211yesmaximal, characteristic, complemented
4#20255654C211yesmaximal, characteristic, complemented
5#20255608C211yesmaximal, characteristic, complemented
6#20255600C211yesmaximal, characteristic, complemented
7#20255521C211yesmaximal, characteristic, complemented
8#20255513C211yesmaximal, characteristic, complemented
9#20255489C211yesmaximal, characteristic, complemented
10#20255481C211yesmaximal, characteristic, complemented
11#20255441C211yesmaximal, characteristic, complemented
12#20255433C211yesmaximal, characteristic, complemented
13#20255409C211yesmaximal, characteristic, complemented
14#20255281C211yesmaximal, characteristic, complemented
15#20255273C211yesmaximal, characteristic, complemented
16#20255227C211yesmaximal, characteristic, complemented
17#20255219C211yesmaximal, characteristic, complemented
18#20253787C211yesmaximal, characteristic, complemented
19#20253316C211yesmaximal, characteristic, complemented
20#20253307C211yesmaximal, characteristic, complemented
21#20253205C211yesmaximal, characteristic, complemented
22#20253013C211yesmaximal, characteristic, complemented
23#20253011C211yesmaximal, characteristic, complemented
24#20252855C211yesmaximal, characteristic, complemented
25#20252643C211yesmaximal, characteristic, complemented
26#20252643C211yesmaximal, characteristic, complemented
27#20252210C211yesmaximal, characteristic, complemented
28#20252121C211yesmaximal, characteristic, complemented
29#20251902C211yesmaximal, characteristic, complemented
30C2×#15689121C211yesmaximal, characteristic, complemented
31C47×#3310C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C22×#10625352C2211yescharacteristic
34C2×#13094053C2211yescharacteristic
35C2×#13094053C2211yescharacteristic, complemented
36C2×#13094053C2211yescharacteristic, complemented
37C22×#10625324C2211yescharacteristic, complemented
38C2×M16×D47C2211yescharacteristic, complemented
39#15689815C2211yescharacteristic, complemented
40#15689814C2211yescharacteristic, complemented
41#15689813C2211yescharacteristic
42#15689812C2211yescharacteristic, complemented
43#15689811C2211yescharacteristic, complemented
44#15689810—21no—
45#15689809—21no—
46#15689808C2211yescharacteristic, complemented
47#15689807C2211yescharacteristic, complemented
48#15689806—21no—
49#15689805—21no—
50#15689793C2211yescharacteristic
51D4×Dic94C2211yescharacteristic
52#15689779C2211yescharacteristic
53#15689779C2211yescharacteristic
54#15689777C2211yescharacteristic
55#15689773—21no—
56#15689767C2211yescharacteristic
57#15689767C2211yescharacteristic
58#15689760—21no—
59#15689760—21no—
60D4×C22⋊D47—21no—
61#15689671C2211yescharacteristic
62#15689668—21no—
63#126×D47—21no—
64#125×D47—21no—
65#125×D47C2211yescharacteristic, complemented
66#15689633C2211yescharacteristic
67#15689633C2211yescharacteristic
68#15689629—21no—
69#15689629—21no—
70#123×D47—21no—
71C22⋊Q8×D47C2211yescharacteristic, complemented
72C22⋊Q8×D47C2211yescharacteristic, complemented
73C4×#10625352C2211yescharacteristic
74C4×Q8×D47C2211yescharacteristic, complemented
75C2×D4×Dic47—21no—
76C4×D4×D47C2211yescharacteristic
77#117×D47—21no—
78#117×D47C2211yescharacteristic, complemented
79C2×C4⋊C4×D47C2211yescharacteristic, complemented
80#15689493C2211yescharacteristic, complemented
81#15689492C2211yescharacteristic, complemented
82#15689487C2211yescharacteristic, complemented
83#15689476C2211yescharacteristic, complemented
84#15689476C2211yescharacteristic, complemented
85#15689476C2211yescharacteristic, complemented
86#15689476C2211yescharacteristic, complemented
87#15689467C2211yescharacteristic, complemented
88#15689466C2211yescharacteristic, complemented
89#15689465C2211yescharacteristic, complemented
90#15689464C2211yescharacteristic, complemented
91#15689460C2211yescharacteristic, complemented
92#15689460C2211yescharacteristic, complemented
93#15689454C2211yescharacteristic, complemented
94#15689453C2211yescharacteristic, complemented
95#15689446C2211yescharacteristic, complemented
96#15689445C2211yescharacteristic, complemented
97#15689444C2211yescharacteristic, complemented
98#15689440C2211yescharacteristic, complemented
99#15689440C2211yescharacteristic, complemented
100#15689434C2211yescharacteristic, complemented
101#15689433C2211yescharacteristic, complemented
102#15689431C2211yescharacteristic, complemented
103#15689429C2211yescharacteristic, complemented
104#15689427C2211yescharacteristic, complemented
105#15689425C2211yescharacteristic, complemented
106#15689423C2211yescharacteristic, complemented
107#15689421C2211yescharacteristic, complemented
108#15689382C2211yescharacteristic, complemented
109#15689381C2211yescharacteristic, complemented
110#15689380C2211yescharacteristic, complemented
111#15689379C2211yescharacteristic, complemented
112#15689368C2211yescharacteristic, complemented
113#15689367C2211yescharacteristic, complemented
114#15689366C2211yescharacteristic, complemented
115#15689365C2211yescharacteristic, complemented
116#15689364C2211yescharacteristic, complemented
117#15689363C2211yescharacteristic, complemented
118#15689362C2211yescharacteristic, complemented
119#15689351C2211yescharacteristic, complemented
120#15689350C2211yescharacteristic, complemented
121#15689349C2211yescharacteristic, complemented
122#15689344C2211yescharacteristic, complemented
123#15689344C2211yescharacteristic, complemented
124#15689343C2211yescharacteristic, complemented
125#15689343C2211yescharacteristic, complemented
126#15689334C2211yescharacteristic, complemented
127#15689333C2211yescharacteristic, complemented
128#15689320C2211yescharacteristic, complemented
129#15689286C2211yescharacteristic, complemented
130#15689286C2211yescharacteristic, complemented
131#15689286C2211yescharacteristic, complemented
132#15689286C2211yescharacteristic, complemented
133#15689282C2211yescharacteristic, complemented
134#15689282C2211yescharacteristic, complemented
135#15689282C2211yescharacteristic, complemented
136#15689282C2211yescharacteristic, complemented
137#15689281C2211yescharacteristic, complemented
138#15689281C2211yescharacteristic, complemented
139#15689278C2211yescharacteristic, complemented
140#15689278C2211yescharacteristic, complemented
141#15689274C2211yescharacteristic, complemented
142#15689274C2211yescharacteristic, complemented
143#15689231C2211yescharacteristic, complemented
144#15689228C2211yescharacteristic, complemented
145#15689223C2211yescharacteristic, complemented
146#15689217C2211yescharacteristic, complemented
147#15689215C2211yescharacteristic, complemented
148#15689214C2211yescharacteristic, complemented
149SD16×Dic47C2211yescharacteristic, complemented
150#15689199C2211yescharacteristic, complemented
151#15689198C2211yescharacteristic, complemented
152#15689196C2211yescharacteristic, complemented
153#15689195C2211yescharacteristic
154#15689193C2211yescharacteristic, complemented
155C8×C22⋊D47C2211yescharacteristic, complemented
156(C22⋊D47)⋊C8C2211yescharacteristic, complemented
157#15689164C2211yescharacteristic, complemented
158#15689164C2211yescharacteristic, complemented
159#15689162C2211yescharacteristic, complemented
160#15689145C2211yescharacteristic, complemented
161#15689133C2211yescharacteristic, complemented
162#15689131C2211yescharacteristic, complemented
163#15689130C2211yescharacteristic, complemented
164#15689128C2211yescharacteristic, complemented
165#15689121C2211yescharacteristic
166#15689121C2211yescharacteristic
167#15689121C2211yescharacteristic
168#15689121C2211yescharacteristic, complemented
169#15689121C2211yescharacteristic, complemented
170#15689121C2211yescharacteristic, complemented
171#15689121C2211yescharacteristic, complemented
172#15689121C2211yescharacteristic, complemented
173#15689121C2211yescharacteristic, complemented
174#15689121C2211yescharacteristic, complemented
175#15689121C2211yescharacteristic, complemented
176#15689121C2211yescharacteristic, complemented
177#15689121C2211yescharacteristic, complemented
178#15689116C2211yescharacteristic, complemented
179#15689116C2211yescharacteristic, complemented
180#15689116C2211yescharacteristic, complemented
181#15689116C2211yescharacteristic, complemented
182C2×#13093949C2211yescharacteristic, complemented
183C2×#13093947C2211yescharacteristic, complemented
184C2×#13093945C2211yescharacteristic, complemented
185#15689085C2211yescharacteristic, complemented
186#15689085C2211yescharacteristic, complemented
187#15689075C2211yescharacteristic, complemented
188C47×#552C2211yescharacteristic
189D42×C47C2211yescharacteristic
190C47×#490C2211yescharacteristic, complemented
191C47×#482C2211yescharacteristic, complemented
192C47×#480C2211yescharacteristic, complemented
193C47×#478C2211yescharacteristic, complemented
194C47×#468C2211yescharacteristic, complemented
195C47×#465C2211yescharacteristic, complemented
196C47×#460C2211yescharacteristic, complemented
197C47×#450C2211yescharacteristic, complemented
198C47×#450C2211yescharacteristic, complemented
199C47×#440C2211yescharacteristic, complemented
200C47×#435C2211yescharacteristic
201C47×#418C2211yescharacteristic, complemented
202C2×#102×C47C2211yescharacteristic, complemented
203C2×#10625352—24no—
204C2×#10625352—24no—
205C2×#10625352—21no—
206C2×#10625352—21no—
207C2×#10625352—21no—
208C2×#10625352—21no—
209C2×#10625352—42no—
210C2×#10625352—42no—
211C2×#10625352C2311yescharacteristic
212C2×#10625352C2311yescharacteristic
213C2×#10625352C2311yescharacteristic
214C2×#10625352C2311yescharacteristic
215C2×#10625352C2311yescharacteristic
216C2×#10625352C2311yescharacteristic
217C2×#10625352C2311yescharacteristic
218C22×Dic94C2311yescharacteristic
219C22×Dic94C2311yescharacteristic
220C2×Q8×D47C2311yescharacteristic
221C22×C22⋊D47—21no—
222C22×C22⋊D47—21no—
223C2×D4×D47D411yescharacteristic
224C23×Dic47—21no—
225C23×Dic47—21no—
226C22×C4×D47—21no—
227C22×C4×D47C2311yescharacteristic
228C22×C4×D47C2311yescharacteristic
229#13094053—24no—
230#13094053—42no—
231#13094053—42no—
232C2×Dic188C2311yescharacteristic
233C2×Dic188C2311yescharacteristic
234C2×Dic188C2311yescharacteristic
235C2×#10625337C2311yescharacteristic
236C2×#10625337C2311yescharacteristic
237C2×#10625337C2311yescharacteristic
238C2×#10625335C2311yescharacteristic
239C2×#10625335C2311yescharacteristic
240C2×#10625335C2311yescharacteristic
241C2×#10625329C2311yescharacteristic
242C2×#10625324—42no—
243C2×#10625324C2311yescharacteristic
244C2×#10625324C2311yescharacteristic
245C2×#10625324C2311yescharacteristic
246C2×#10625324C2311yescharacteristic
247C2×#10625324C2311yescharacteristic
248C2×#10625324C2311yescharacteristic
249M16×D47—42no—
250C22×C47⋊C8C2311yescharacteristic
251C2×C8×D47C2311yescharacteristic
252C2×C8×D47C2311yescharacteristic
253#13094024C2311yescharacteristic
254#13094023—21no—
255#13094020—21no—
256#13094019—21no—
257#13094019—21no—
258#13094019—21no—
259#13094018—21no—
260#13094017—21no—
261#13094017—21no—
262#13094017—21no—
263#13094016—21no—
264#13094016C2311yescharacteristic
265#13094015—21no—
266#13094015—21no—
267#13094015C2311yescharacteristic
268#13094015C2311yescharacteristic
269#13094014—21no—
270#13094014—21no—
271#13094014—21no—
272#13094014—21no—
273#13094014—21no—
274#13094014—21no—
275#13094011C2311yescharacteristic
276#13094011C2311yescharacteristic
277#13094010—21no—
278#13094010—21no—
279#13094009—21no—
280#13094009—21no—
281#13094008—21no—
282#13094008—21no—
283#13094008—21no—
284#13094007—21no—
285#13094006—21no—
286#13094006—21no—
287#13094006—21no—
288#13094006—21no—
289#13094005—21no—
290#13094005—21no—
291#13094005—21no—
292#13094004C2311yescharacteristic
293#13094004C2311yescharacteristic
294#13094004C2311yescharacteristic
295#13094004C2311yescharacteristic
296#13094003C2311yescharacteristic
297#13094003C2311yescharacteristic
298#13094003C2311yescharacteristic
299#13094003C2311yescharacteristic
300#13094002—21no—
301#13094002—21no—
302#13094001—21no—
303#13094001—21no—
304#13094001—21no—
305#13094001—21no—
306#13094001—21no—
307#13094001—21no—
308#13094000C2311yescharacteristic
309#13094000C2311yescharacteristic
310#13093998—21no—
311#13093996—21no—
312#13093996—21no—
313#13093996—21no—
314#13093996—21no—
315#13093996—21no—
316#13093996—21no—
317#13093995—21no—
318#13093995—21no—
319#13093995C2311yescharacteristic
320#13093995C2311yescharacteristic
321#13093993—21no—
322#13093993—21no—
323#13093992—21no—
324#13093992—21no—
325Q8×Dic47C2311yescharacteristic
326C4×Dic94—21no—
327C4×Dic94C2311yescharacteristic
328C4×Dic94C2311yescharacteristic
329#13093989—21no—
330#13093989C2311yescharacteristic
331#13093989C2311yescharacteristic
332C4×D188C2311yescharacteristic
333D4×Dic47—21no—
334D4×Dic47—21no—
335D4×Dic47—21no—
336D4×Dic47—21no—
337D4×Dic47—21no—
338D4×Dic47—21no—
339D4×Dic47—21no—
340D4×Dic47—21no—
341D4×Dic47D411yescharacteristic
342D4×Dic47C2311yescharacteristic
343#13093986D411yescharacteristic
344C4×C22⋊D47—21no—
345C4×C22⋊D47C2311yescharacteristic
346C4×C22⋊D47C2311yescharacteristic
347(C22⋊D47)⋊C4—21no—
348(C22⋊D47)⋊C4—21no—
349(C22⋊D47)⋊C4—21no—
350(C22⋊D47)⋊C4D411yescharacteristic
351(C22⋊D47)⋊C4D411yescharacteristic
352#13093983—21no—
353#13093983C2311yescharacteristic
354#13093982—21no—
355#13093982—21no—
356#13093982C2311yescharacteristic
357#13093982C2311yescharacteristic
358#13093982C2311yescharacteristic
359#13093981—21no—
360#13093981—21no—
361#13093981—21no—
362#13093980—21no—
363#13093980—21no—
364#13093980—21no—
365#13093980—21no—
366C2×C4⋊Dic47—21no—
367C2×C4⋊Dic47C2311yescharacteristic
368C2×Dic47⋊C4—21no—
369C4⋊C4×D47—21no—
370C4⋊C4×D47—21no—
371C4⋊C4×D47—21no—
372C4⋊C4×D47—21no—
373C4⋊C4×D47—21no—
374C4⋊C4×D47—21no—
375C4⋊C4×D47—21no—
376C4⋊C4×D47D411yescharacteristic
377C4⋊C4×D47C2311yescharacteristic
378C4⋊C4×D47C2311yescharacteristic
379C4⋊C4×D47C2311yescharacteristic
380C4⋊C4×D47C2311yescharacteristic
381C4⋊C4×D47C2311yescharacteristic
382C2×C22⋊Dic47—21no—
383C2×C22⋊Dic47—21no—
384C22⋊C4×D47—21no—
385C22⋊C4×D47—21no—
386C22⋊C4×D47—21no—
387C22⋊C4×D47D411yescharacteristic
388C22⋊C4×D47D411yescharacteristic
389C2×C4×Dic47—21no—
390C42×D47—21no—
391C42×D47—21no—
392C42×D47C2311yescharacteristic
393#13093958C2311yescharacteristic
394#13093957C2311yescharacteristic
395#13093957C2311yescharacteristic
396#13093957C2311yescharacteristic
397#13093956C2311yescharacteristic
398#13093956C2311yescharacteristic
399#13093955C2311yescharacteristic
400#13093955C2311yescharacteristic
401#13093955C2311yescharacteristic
402C4⋊(C47⋊C8)C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093949C2311yescharacteristic
414#13093949C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093947C2311yescharacteristic
422#13093947C2311yescharacteristic
423#13093947C2311yescharacteristic
424#13093947C2311yescharacteristic
425#13093947C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093945C2311yescharacteristic
430#13093945C2311yescharacteristic
431#13093945C2311yescharacteristic
432#13093945C2311yescharacteristic
433#13093945C2311yescharacteristic
434#13093945C2311yescharacteristic
435C22⋊(C47⋊C8)C2311yescharacteristic
436C22⋊(C47⋊C8)C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441#13093935C2311yescharacteristic
442C8×Dic47C2311yescharacteristic
443C8×Dic47C2311yescharacteristic
444C22×D4×C47—21no—
445C22×D4×C47C2311yescharacteristic
446C22×D4×C47C2311yescharacteristic
447C2×SD16×C47C2311yescharacteristic
448C2×SD16×C47C2311yescharacteristic
449C2×SD16×C47C2311yescharacteristic
450C2×M16×C47C2311yescharacteristic
451C22×C8×C47C2311yescharacteristic
452#127×C47C2311yescharacteristic
453#126×C47—21no—
454#125×C47—21no—
455#125×C47C2311yescharacteristic
456#123×C47—21no—
457C22⋊Q8×C47C2311yescharacteristic
458C22⋊Q8×C47C2311yescharacteristic
459#121×C47—21no—
460#121×C47C2311yescharacteristic
461#121×C47C2311yescharacteristic
462#120×C47—21no—
463#120×C47—21no—
464C4×Q8×C47C2311yescharacteristic
465C4×D4×C47C2311yescharacteristic
466C4×D4×C47C2311yescharacteristic
467#117×C47—21no—
468#117×C47C2311yescharacteristic
469C2×C4⋊C4×C47C2311yescharacteristic
470#107×C47C2311yescharacteristic
471#107×C47C2311yescharacteristic
472#106×C47C2311yescharacteristic
473C4⋊C8×C47C2311yescharacteristic
474#103×C47C2311yescharacteristic
475#102×C47C2311yescharacteristic
476#102×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484C22⋊C8×C47C2311yescharacteristic
485C22⋊C8×C47C2311yescharacteristic
486#97×C47C2311yescharacteristic
487C24×C47—21no—
488C24×C47—21no—
489C23×D47C2×D411yescharacteristic
490C23×D47C2×D411yescharacteristic
491C2×Q8×C47C2411yescharacteristic
492C2×D4×C47—22no—
493C2×D4×C47—22no—
494C2×D4×C47—21no—
495C2×D4×C47—21no—
496C2×D4×C47—21no—
497C2×D4×C47—21no—
498C2×D4×C47—21no—
499C2×D4×C47—21no—
500C2×D4×C47—41no—
501C2×D4×C47—41no—
502C2×D4×C47—44no—
503C2×D4×C47C2×D411yescharacteristic
504C2×D4×C47C2411yescharacteristic
505C2×D4×C47C2411yescharacteristic
506C2×D4×C47C2411yescharacteristic
507C22×C4×C47—21no—
508C22×C4×C47—21no—
509C22×C4×C47C2411yescharacteristic
510C22×C4×C47C2411yescharacteristic
511C2×C22⋊D47—21no—
512C2×C22⋊D47—21no—
513C2×C22⋊D47—21no—
514C2×C22⋊D47—21no—
515C2×C22⋊D47—21no—
516C2×C22⋊D47—21no—
517C2×C22⋊D47—21no—
518C2×C22⋊D47—21no—
519C2×C22⋊D47—21no—
520C2×C22⋊D47—44no—
521C2×C22⋊D47—44no—
522C2×C22⋊D47C2×D411yescharacteristic
523C2×C22⋊D47C2×D411yescharacteristic
524C22×Dic47—21no—
525C22×Dic47—21no—
526C22×Dic47—21no—
527C22×Dic47—21no—
528C22×Dic47—21no—
529C22×Dic47—21no—
530C22×Dic47—21no—
531C22×Dic47—21no—
532C22×Dic47—21no—
533C22×Dic47—21no—
534C22×Dic47—21no—
535C22×Dic47—44no—
536C22×Dic47—44no—
537C22×Dic47C2×D411yescharacteristic
538C22×Dic47C2×D411yescharacteristic
539Q8×D47—22no—
540Q8×D47—22no—
541#10625352—22no—
542#10625352—22no—
543#10625352—22no—
544#10625352—22no—
545#10625352—22no—
546#10625352—22no—
547#10625352—22no—
548#10625352—22no—
549#10625352—22no—
550#10625352—41no—
551#10625352—41no—
552#10625352—41no—
553#10625352—41no—
554#10625352—44no—
555#10625352—44no—
556#10625352—44no—
557#10625352—44no—
558#10625352#4114yes—
559D4×D47—42no—
560C2×D188C2×D411yescharacteristic
561C2×C4×D47—22no—
562C2×C4×D47—22no—
563C2×C4×D47—22no—
564C2×C4×D47—22no—
565C2×C4×D47—21no—
566C2×C4×D47—21no—
567C2×C4×D47—21no—
568C2×C4×D47—21no—
569C2×C4×D47—21no—
570C2×C4×D47—21no—
571C2×C4×D47—44no—
572C2×C4×D47C2×D411yescharacteristic
573C2×C4×D47C2×D411yescharacteristic
574C2×C4×D47C2×D411yescharacteristic
575C2×C4×D47C2×D411yescharacteristic
576C2×C4×D47C2×D411yescharacteristic
577C2×C4×D47C2×D411yescharacteristic
578C2×C4×D47C2411yescharacteristic
579C2×C4×D47C2411yescharacteristic
580C2×C4×D47C2411yescharacteristic
581C2×Dic94—22no—
582C2×Dic94—22no—
583C2×Dic94—21no—
584C2×Dic94—21no—
585C2×Dic94—21no—
586C2×Dic94—41no—
587C2×Dic94—41no—
588C2×Dic94C2411yescharacteristic
589C2×Dic94C2411yescharacteristic
590C2×Dic94C2411yescharacteristic
591C2×Dic94C2411yescharacteristic
592SD16×C47—22no—
593SD16×C47—41no—
594SD16×C47—41no—
595M16×C47—41no—
596C2×C8×C47—41no—
597C2×C8×C47C2411yescharacteristic
598C2×C8×C47C2411yescharacteristic
599C2×C8×C47C2411yescharacteristic
600C2×C8×C47C2411yescharacteristic
601C4⋊C4×C47—21no—
602C4⋊C4×C47—21no—
603C4⋊C4×C47—21no—
604C4⋊C4×C47—21no—
605C4⋊C4×C47—21no—
606C4⋊C4×C47—21no—
607C4⋊C4×C47C2×D411yescharacteristic
608C4⋊C4×C47C2411yescharacteristic
609C4⋊C4×C47C2411yescharacteristic
610C4⋊C4×C47C2411yescharacteristic
611C4⋊C4×C47C2411yescharacteristic
612C22⋊C4×C47—21no—
613C22⋊C4×C47—21no—
614C22⋊C4×C47—21no—
615C22⋊C4×C47—21no—
616C22⋊C4×C47—21no—
617C22⋊C4×C47—21no—
618C22⋊C4×C47C2×D411yescharacteristic
619C22⋊C4×C47C2×D411yescharacteristic
620C42×C47—21no—
621C42×C47—21no—
622C42×C47C2411yescharacteristic
623C22⋊Dic47—21no—
624C22⋊Dic47—21no—
625C22⋊Dic47—21no—
626C22⋊Dic47—21no—
627C22⋊Dic47—21no—
628C22⋊Dic47—21no—
629C22⋊Dic47—21no—
630C22⋊Dic47—21no—
631C22⋊Dic47—21no—
632C22⋊Dic47—21no—
633C22⋊Dic47—21no—
634C22⋊Dic47—21no—
635C22⋊Dic47C2×D411yescharacteristic
636C22⋊Dic47C2×D411yescharacteristic
637#10625337—22no—
638#10625337—41no—
639#10625337—41no—
640#10625335—22no—
641#10625335—41no—
642#10625335—41no—
643(C2×D47)⋊C4—21no—
644(C2×D47)⋊C4—21no—
645(C2×D47)⋊C4—21no—
646(C2×D47)⋊C4—21no—
647(C2×D47)⋊C4—21no—
648(C2×D47)⋊C4—21no—
649(C2×D47)⋊C4—21no—
650(C2×D47)⋊C4—21no—
651(C2×D47)⋊C4—21no—
652(C2×D47)⋊C4C2×D411yescharacteristic
653(C2×D47)⋊C4C2×D411yescharacteristic
654(C2×D47)⋊C4C2×D411yescharacteristic
655(C2×D47)⋊C4C2×D411yescharacteristic
656C4⋊Dic47—21no—
657C4⋊Dic47—21no—
658C4⋊Dic47—21no—
659C4⋊Dic47—21no—
660C4⋊Dic47—21no—
661C4⋊Dic47—21no—
662C4⋊Dic47—21no—
663C4⋊Dic47—21no—
664C4⋊Dic47—21no—
665C4⋊Dic47—21no—
666C4⋊Dic47C2×D411yescharacteristic
667C4⋊Dic47C2411yescharacteristic
668C4⋊Dic47C2411yescharacteristic
669C4⋊Dic47C2411yescharacteristic
670C4⋊Dic47C2411yescharacteristic
671Dic47⋊C4—21no—
672Dic47⋊C4—21no—
673Dic47⋊C4—21no—
674Dic47⋊C4—21no—
675Dic47⋊C4—21no—
676Dic47⋊C4—21no—
677Dic47⋊C4—21no—
678Dic47⋊C4—21no—
679Dic47⋊C4—21no—
680Dic47⋊C4—21no—
681Dic47⋊C4—21no—
682Dic47⋊C4—21no—
683Dic47⋊C4—21no—
684Dic47⋊C4—21no—
685Dic47⋊C4—21no—
686Dic47⋊C4—21no—
687Dic47⋊C4—21no—
688Dic47⋊C4—21no—
689Dic47⋊C4—21no—
690Dic47⋊C4C2×D411yescharacteristic
691Dic47⋊C4C2×D411yescharacteristic
692C4×Dic47—21no—
693C4×Dic47—21no—
694C4×Dic47—21no—
695C4×Dic47—21no—
696C4×Dic47—21no—
697C4×Dic47—21no—
698C4×Dic47—21no—
699C4×Dic47—21no—
700C4×Dic47—21no—
701C4×Dic47C2×D411yescharacteristic
702C4×Dic47C2×D411yescharacteristic
703C4×Dic47C2411yescharacteristic
704#10625329—41no—
705C2×C47⋊C8—41no—
706C2×C47⋊C8C2411yescharacteristic
707C2×C47⋊C8C2411yescharacteristic
708C2×C47⋊C8C2411yescharacteristic
709C2×C47⋊C8C2411yescharacteristic
710Dic188—22no—
711Dic188—41no—
712Dic188—41no—
713#10625324—22no—
714#10625324—22no—
715#10625324—22no—
716#10625324—22no—
717#10625324—41no—
718#10625324—41no—
719C8×D47—41no—
720C8×D47—41no—
721C23×C47—21no—
722C23×C47—21no—
723C23×C47—21no—
724C23×C47—42no—
725C23×C47—42no—
726C23×C47—42no—
727C23×C47—42no—
728C23×C47—81no—
729C23×C47—81no—
730C23×C47C22×D411yescharacteristic
731C23×C47C22×D411yescharacteristic
732C22×D47—22no—
733C22×D47—22no—
734C22×D47—22no—
735C22×D47—41no—
736C22×D47—41no—
737C22×D47—41no—
738C22×D47C22×D411yescharacteristic
739C22×D47C22×D411yescharacteristic
740C22×D47C22×D411yescharacteristic
741Q8×C47—21no—
742Q8×C47—21no—
743D4×C47—22no—
744D4×C47—21no—
745D4×C47—21no—
746D4×C47—21no—
747D4×C47—21no—
748D4×C47—21no—
749D4×C47—42no—
750D4×C47—42no—
751D4×C47—42no—
752D4×C47—42no—
753D4×C47—42no—
754D4×C47—81no—
755D4×C47C2×#4112yes—
756C2×C4×C47—21no—
757C2×C4×C47—21no—
758C2×C4×C47—21no—
759C2×C4×C47—21no—
760C2×C4×C47—21no—
761C2×C4×C47—21no—
762C2×C4×C47—21no—
763C2×C4×C47—21no—
764C2×C4×C47—21no—
765C2×C4×C47—42no—
766C2×C4×C47—42no—
767C2×C4×C47C22×D411yescharacteristic
768C2×C4×C47C22×D411yescharacteristic
769C2×C4×C47C22×D411yescharacteristic
770C2×C4×C47C22×D411yescharacteristic
771C2×C4×C47C2511yescharacteristic
772C22⋊D47—22no—
773C22⋊D47—24no—
774C22⋊D47—41no—
775C22⋊D47—42no—
776C22⋊D47—42no—
777C22⋊D47—42no—
778C22⋊D47—42no—
779C22⋊D47—42no—
780C22⋊D47—42no—
781C22⋊D47—81no—
782C22⋊D47—81no—
783C2×Dic47—21no—
784C2×Dic47—22no—
785C2×Dic47—22no—
786C2×Dic47—24no—
787C2×Dic47—21no—
788C2×Dic47—21no—
789C2×Dic47—21no—
790C2×Dic47—21no—
791C2×Dic47—21no—
792C2×Dic47—21no—
793C2×Dic47—21no—
794C2×Dic47—42no—
795C2×Dic47—42no—
796C2×Dic47—42no—
797C2×Dic47—42no—
798C2×Dic47—42no—
799C2×Dic47—42no—
800C2×Dic47—42no—
801C2×Dic47—42no—
802C2×Dic47—42no—
803C2×Dic47—81no—
804C2×Dic47C22×D411yescharacteristic
805C2×Dic47C22×D411yescharacteristic
806C2×Dic47C22×D411yescharacteristic
807C2×Dic47C22×D411yescharacteristic
808C2×Dic47C22×D411yescharacteristic
809D188—41no—
810C4×D47—22no—
811C4×D47—22no—
812C4×D47—21no—
813C4×D47—21no—
814C4×D47—21no—
815C4×D47—21no—
816C4×D47—22no—
817C4×D47—22no—
818C4×D47—41no—
819C4×D47—41no—
820C4×D47—42no—
821C4×D47—42no—
822C4×D47—42no—
823C4×D47—42no—
824C4×D47—42no—
825C4×D47—42no—
826C4×D47C2×#4112yes—
827C4×D47H(5,𝔽2)12yes—
828Dic94—21no—
829Dic94—21no—
830Dic94—21no—
831Dic94—21no—
832Dic94—21no—
833Dic94—21no—
834Dic94—21no—
835Dic94—42no—
836Dic94—42no—
837Dic94—42no—
838Dic94C2×#4112yes—
839C8×C47—21no—
840C8×C47—21no—
841C8×C47—21no—
842C8×C47—21no—
843C47⋊C8—21no—
844C47⋊C8—21no—
845C47⋊C8—21no—
846C47⋊C8—21no—
847#61163—471nomaximal, Sylow
848C22×C47—21no—
849C22×C47—21no—
850C22×C47—21no—
851C22×C47—22no—
852C22×C47—21no—
853C22×C47—21no—
854C22×C47—41no—
855C22×C47—41no—
856C22×C47—41no—
857C22×C47—41no—
858C22×C47—41no—
859C22×C47—41no—
860C22×C47—41no—
861C22×C47—41no—
862C22×C47—84no—
863C22×C47—84no—
864C22×C47#57512yes—
865C22×C47C23×D411yescharacteristic
866C2×D47—21no—
867C2×D47—21no—
868C2×D47—21no—
869C2×D47—21no—
870C2×D47—21no—
871C2×D47—21no—
872C2×D47—21no—
873C2×D47—21no—
874C2×D47—44no—
875C2×D47—82no—
876C2×D47#54612yes—
877C4×C47—21no—
878C4×C47—21no—
879C4×C47—21no—
880C4×C47—21no—
881C4×C47—41no—
882C4×C47—41no—
883C4×C47—41no—
884C4×C47—41no—
885C4×C47—41no—
886C4×C47C22×#4111yescharacteristic
887C4×C47C2×H(5,𝔽2)11yescharacteristic
888Dic47—21no—
889Dic47—22no—
890Dic47—21no—
891Dic47—21no—
892Dic47—21no—
893Dic47—41no—
894Dic47—41no—
895Dic47—41no—
896Dic47—41no—
897Dic47—41no—
898Dic47—41no—
899Dic47—41no—
900Dic47#54612yes—
901C2×#552—471no—
902D4×#41—471no—
903#3327—471no—
904#3327—471no—
905#3323—471no—
906#3323—471no—
907#3317—471no—
908#3317—471no—
909#3315—471no—
910#3315—471no—
911#3312—471no—
912#3312—471no—
913#3310—471no—
914#3310D4711yescharacteristic, complemented
915#3300—471no—
916#3300—471no—
917#3296—471no—
918#3296—471no—
919#3142—471no—
920#3093—471no—
921#3092—471no—
922#3080—471no—
923#3056—471no—
924#3056—471no—
925#3037—471no—
926#3007—471no—
927#3007—471no—
928C4×#137—471no—
929D4×M16—471no—
930#2896—471no—
931C2×#417—471no—
932C2×C47—22no—
933C2×C47—41no—
934C2×C47—42no—
935C2×C47—81no—
936C2×C47—81no—
937C2×C47C2×#54611yescharacteristic
938C2×C47C2×#57511yescharacteristic
939C2×C47#358611yescharacteristic
940D47—22no—
941D47—41no—
942D47—41no—
943C22×#41—471no—
944C22×#41—471no—
945C2×#137—471no—
946C2×#137—471no—
947C2×#137—471no—
948C22×M16—471no—
949C22×M16—471no—
950#552—471no—
951#552—471no—
952#552—471no—
953#552—471no—
954#552—471no—
955#552—471no—
956#552—471no—
957#552—941no—
958#552—941no—
959#552—941no—
960#552—941no—
961#552C2×D4711yescharacteristic
962#550—471no—
963D4×Q8—471no—
964#548—471no—
965#548—471no—
966#547—471no—
967#547—941no—
968#546—471no—
969#546—471no—
970#546—941no—
971#546—941no—
972D42—941no—
973D42C2×D4711yescharacteristic
974#532—471no—
975#532—941no—
976C2×#126—941no—
977C2×#125—471no—
978C2×#125—941no—
979#525—471no—
980#525—471no—
981#525—941no—
982#525—941no—
983C2×#123—941no—
984C2×C22⋊Q8—471no—
985C2×C22⋊Q8—471no—
986C4×#41—471no—
987C2×C4×Q8—471no—
988C2×C4×D4—471no—
989C2×C4×D4—941no—
990C2×#117—471no—
991C2×#117—941no—
992C22×C4⋊C4—471no—
993#491—471no—
994#491—471no—
995#490—471no—
996#490C2×D4711yescharacteristic, complemented
997#488—471no—
998#488—471no—
999#488—471no—
1000#488—471no—
1001#485—471no—
1002#485—471no—
1003#485—471no—
1004#485—471no—
1005#484—471no—
1006#484—471no—
1007#483—471no—
1008#483—471no—
1009#482—471no—
1010#482—471no—
1011#482—471no—
1012#482C2×D4711yescharacteristic, complemented
1013#481—471no—
1014#481—471no—
1015#480—471no—
1016#480C2×D4711yescharacteristic, complemented
1017#479—471no—
1018#479—471no—
1019#479—471no—
1020#479—471no—
1021#478—471no—
1022#478—471no—
1023#478—471no—
1024#478C2×D4711yescharacteristic, complemented
1025#470—471no—
1026#470—471no—
1027#470—471no—
1028#470—471no—
1029#468—471no—
1030#468—471no—
1031#468—471no—
1032#468C2×D4711yescharacteristic, complemented
1033#467—471no—
1034#467—471no—
1035#467—471no—
1036#467—471no—
1037#465—471no—
1038#465—471no—
1039#465—471no—
1040#465C2×D4711yescharacteristic, complemented
1041#464—471no—
1042#464—471no—
1043#464—471no—
1044#464—471no—
1045#462—471no—
1046#462—471no—
1047#460—471no—
1048#460C2×D4711yescharacteristic, complemented
1049#452—471no—
1050#452—471no—
1051#452—471no—
1052#452—471no—
1053#452—471no—
1054#452—471no—
1055#452—471no—
1056#452—471no—
1057#451—471no—
1058#451—471no—
1059#451—471no—
1060#451—471no—
1061#450—471no—
1062#450—471no—
1063#450C2×D4711yescharacteristic, complemented
1064#450C2×D4711yescharacteristic, complemented
1065#441—471no—
1066#441—471no—
1067#440—471no—
1068#440C2×D4711yescharacteristic, complemented
1069C4×Q16—471no—
1070C4×Q16—471no—
1071C4×SD16—471no—
1072C4×SD16—471no—
1073#436—471no—
1074#436—471no—
1075#435—471no—
1076#435—471no—
1077#435—471no—
1078#435C2×D4711yescharacteristic
1079C8×D4—471no—
1080C8×D4—471no—
1081#428—471no—
1082#428—471no—
1083#428—471no—
1084#423—471no—
1085#419—471no—
1086#419—471no—
1087#419—471no—
1088#418—471no—
1089#418C2×D4711yescharacteristic, complemented
1090#417—471no—
1091#417—471no—
1092#417—471no—
1093#417—471no—
1094#417—471no—
1095#417—471no—
1096#417—471no—
1097#417—471no—
1098#417—471no—
1099#417—471no—
1100#417—471no—
1101#417—471no—
1102#417—471no—
1103#416—471no—
1104#416—471no—
1105#416—471no—
1106#416—471no—
1107C2×#103—471no—
1108C2×#103—471no—
1109C2×#102—471no—
1110C2×#102C2×D4711yescharacteristic, complemented
1111#407—471no—
1112#407—471no—
1113C4×M16—471no—
1114C47#6116311yescharacteristic, complemented, Sylow
1115C2×#41—471no—
1116C2×#41—471no—
1117C2×#41—471no—
1118C2×#41—471no—
1119C2×#41—471no—
1120C2×#41—471no—
1121C2×#41—471no—
1122C2×#41—941no—
1123C2×#41—941no—
1124C2×#41—941no—
1125C2×#41—941no—
1126C2×#41—944no—
1127C2×#41—944no—
1128C2×#41—1882no—
1129C2×#41—1882no—
1130C22×Q8—471no—
1131C22×Q8—471no—
1132C22×Q8—471no—
1133C22×D4—21no—
1134C22×D4—471no—
1135C22×D4—941no—
1136C22×D4—941no—
1137C22×D4C22×D4711yescharacteristic
1138C22×D4C22×D4711yescharacteristic
1139C23×C4—471no—
1140C23×C4—471no—
1141C23×C4—941no—
1142C23×C4—941no—
1143C23×C4—941no—
1144#137—944no—
1145#137—1882no—
1146#137—1882no—
1147C2×Q16—471no—
1148C2×Q16—471no—
1149C2×Q16—471no—
1150C2×Q16—471no—
1151C2×Q16—471no—
1152C2×Q16—471no—
1153C2×SD16—471no—
1154C2×SD16—471no—
1155C2×SD16—471no—
1156C2×SD16C22×D4711yescharacteristic
1157C2×SD16C22×D4711yescharacteristic
1158C2×SD16C22×D4711yescharacteristic
1159C2×M16—471no—
1160C2×M16—471no—
1161C2×M16—471no—
1162C2×M16—471no—
1163C2×M16—471no—
1164C2×M16—471no—
1165C2×M16—471no—
1166C2×M16—1882no—
1167C2×M16—1882no—
1168C2×M16C22×D4711yescharacteristic
1169C22×C8—471no—
1170C22×C8—471no—
1171C22×C8—471no—
1172C22×C8C22×D4711yescharacteristic
1173C4⋊Q8—471no—
1174C4⋊Q8—941no—
1175#127—941no—
1176#127C22×D4711yescharacteristic
1177#126—21no—
1178#126—941no—
1179#126—941no—
1180#126—941no—
1181#126—941no—
1182#126—941no—
1183#126—941no—
1184#126—941no—
1185#125—21no—
1186#125—471no—
1187#125—471no—
1188#125—471no—
1189#125—941no—
1190#125—941no—
1191#125—941no—
1192#125—941no—
1193#125—941no—
1194#125—941no—
1195#125—941no—
1196#125—941no—
1197#125—941no—
1198#125C22×D4711yescharacteristic
1199#124—471no—
1200#124—471no—
1201#124—941no—
1202#124—941no—
1203#123—21no—
1204#123—941no—
1205#123—941no—
1206#123—941no—
1207#123—941no—
1208#123—941no—
1209#123—941no—
1210#123—941no—
1211#123—941no—
1212#123—941no—
1213#123—941no—
1214#123—941no—
1215#123—941no—
1216#123—941no—
1217C22⋊Q8—471no—
1218C22⋊Q8—471no—
1219C22⋊Q8—471no—
1220C22⋊Q8—471no—
1221C22⋊Q8—471no—
1222C22⋊Q8—471no—
1223C22⋊Q8—471no—
1224C22⋊Q8—471no—
1225C22⋊Q8—471no—
1226C22⋊Q8—471no—
1227C22⋊Q8—941no—
1228C22⋊Q8—941no—
1229C22⋊Q8—941no—
1230C22⋊Q8—941no—
1231C22⋊Q8—941no—
1232C22⋊Q8—941no—
1233C22⋊Q8—941no—
1234C22⋊Q8—941no—
1235C22⋊Q8C22×D4711yescharacteristic
1236C22⋊Q8C22×D4711yescharacteristic
1237#121—21no—
1238#121—471no—
1239#121—471no—
1240#121—941no—
1241#121—941no—
1242#121—941no—
1243#121—941no—
1244#121—941no—
1245#121—941no—
1246#121—941no—
1247#121—941no—
1248#121—941no—
1249#121C22×D4711yescharacteristic
1250#121C22×D4711yescharacteristic
1251#120—21no—
1252#120—21no—
1253#120—941no—
1254#120—941no—
1255#120—941no—
1256#120—941no—
1257C4×Q8—471no—
1258C4×Q8—471no—
1259C4×Q8—471no—
1260C4×Q8—471no—
1261C4×Q8—471no—
1262C4×Q8—941no—
1263C4×Q8—941no—
1264C4×Q8C22×D4711yescharacteristic
1265C4×D4—471no—
1266C4×D4—471no—
1267C4×D4—471no—
1268C4×D4—471no—
1269C4×D4—471no—
1270C4×D4—471no—
1271C4×D4—471no—
1272C4×D4—471no—
1273C4×D4—941no—
1274C4×D4—941no—
1275C4×D4—941no—
1276C4×D4—941no—
1277C4×D4—941no—
1278C4×D4—941no—
1279C4×D4—941no—
1280C4×D4—941no—
1281C4×D4—941no—
1282C4×D4—941no—
1283C4×D4—941no—
1284C4×D4—941no—
1285C4×D4C22×D4711yescharacteristic
1286C4×D4C22×D4711yescharacteristic
1287#117—21no—
1288#117—471no—
1289#117—471no—
1290#117—471no—
1291#117—471no—
1292#117—941no—
1293#117—941no—
1294#117—941no—
1295#117—941no—
1296#117—941no—
1297#117—941no—
1298#117—941no—
1299#117—941no—
1300#117—941no—
1301#117—941no—
1302#117C22×D4711yescharacteristic
1303C2×C4⋊C4—471no—
1304C2×C4⋊C4—471no—
1305C2×C4⋊C4—471no—
1306C2×C4⋊C4—471no—
1307C2×C4⋊C4—471no—
1308C2×C4⋊C4—471no—
1309C2×C4⋊C4—471no—
1310C2×C4⋊C4—941no—
1311C2×C4⋊C4—941no—
1312C2×C4⋊C4—941no—
1313C2×C4⋊C4—941no—
1314C2×C4⋊C4—941no—
1315C2×C4⋊C4—941no—
1316C2×C4⋊C4—941no—
1317C2×C4⋊C4—941no—
1318C2×C4⋊C4—941no—
1319C2×C4⋊C4C22×D4711yescharacteristic
1320C2×C22⋊C4—471no—
1321C2×C22⋊C4—471no—
1322C2×C22⋊C4—941no—
1323C2×C22⋊C4—941no—
1324C2×C22⋊C4—941no—
1325C2×C22⋊C4—941no—
1326C2×C22⋊C4—941no—
1327C2×C42—471no—
1328C2×C42—941no—
1329C2×C42—941no—
1330C2×C42—941no—
1331#107—471no—
1332#107—471no—
1333#107—471no—
1334#107—471no—
1335#107C22×D4711yescharacteristic
1336#107C22×D4711yescharacteristic
1337#106—471no—
1338#106—471no—
1339#106—471no—
1340#106—471no—
1341#106—471no—
1342#106C22×D4711yescharacteristic
1343C4⋊C8—471no—
1344C4⋊C8—471no—
1345C4⋊C8—471no—
1346C4⋊C8C22×D4711yescharacteristic
1347#103—471no—
1348#103—471no—
1349#103—471no—
1350#103—471no—
1351#103—471no—
1352#103—471no—
1353#103—471no—
1354#103—471no—
1355#103—471no—
1356#103—471no—
1357#103—471no—
1358#103—471no—
1359#103—471no—
1360#103—471no—
1361#103—471no—
1362#103—471no—
1363#103—471no—
1364#103—471no—
1365#103—471no—
1366#103—471no—
1367#103—471no—
1368#103C22×D4711yescharacteristic
1369#102—471no—
1370#102—471no—
1371#102—471no—
1372#102—471no—
1373#102—471no—
1374#102—471no—
1375#102—471no—
1376#102—471no—
1377#102—471no—
1378#102C22×D4711yescharacteristic
1379#102C22×D4711yescharacteristic
1380#102C22×D4711yescharacteristic
1381#102C22×D4711yescharacteristic
1382#102C22×D4711yescharacteristic
1383#102C22×D4711yescharacteristic
1384#102C22×D4711yescharacteristic
1385#102C22×D4711yescharacteristic
1386#102C22×D4711yescharacteristic
1387C22⋊C8—471no—
1388C22⋊C8—471no—
1389C22⋊C8—471no—
1390C22⋊C8—471no—
1391C22⋊C8—471no—
1392C22⋊C8—471no—
1393C22⋊C8C22×D4711yescharacteristic
1394C22⋊C8C22×D4711yescharacteristic
1395#97—471no—
1396#97C22×D4711yescharacteristic
1397C4×C8—471no—
1398C4×C8—471no—
1399C24—21no—
1400C24—21no—
1401C24—471no—
1402C24—471no—
1403#41—474no—
1404#41—942no—
1405#41—942no—
1406#41—942no—
1407#41—942no—
1408#41—942no—
1409#41—942no—
1410#41—942no—
1411#41—942no—
1412#41—942no—
1413#41—1884no—
1414#41—1884no—
1415#41—1881no—
1416#41—1881no—
1417#41—1881no—
1418#41—1881no—
1419#41—1884no—
1420#41—1884no—
1421C2×Q8—471no—
1422C2×Q8—471no—
1423C2×Q8—471no—
1424C2×Q8—471no—
1425C2×Q8—941no—
1426C2×Q8—942no—
1427C2×Q8—942no—
1428C2×Q8—942no—
1429C2×Q8—942no—
1430C2×Q8—941no—
1431C2×Q8—941no—
1432C2×Q8—1881no—
1433C2×Q8—1881no—
1434C2×Q8C23×D4711yescharacteristic
1435C2×D4—22no—
1436C2×D4—22no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—21no—
1442C2×D4—21no—
1443C2×D4—41no—
1444C2×D4—41no—
1445C2×D4—44no—
1446C2×D4—471no—
1447C2×D4—471no—
1448C2×D4—471no—
1449C2×D4—941no—
1450C2×D4—941no—
1451C2×D4—941no—
1452C2×D4—941no—
1453C2×D4—941no—
1454C2×D4—941no—
1455C2×D4—941no—
1456C2×D4—941no—
1457C2×D4—941no—
1458C2×D4—1882no—
1459C2×D4—1884no—
1460C2×D4—1884no—
1461C2×D4D4×D4711yescharacteristic
1462C2×D4C23×D4711yescharacteristic
1463C2×D4C23×D4711yescharacteristic
1464C2×D4C23×D4711yescharacteristic
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—471no—
1468C22×C4—471no—
1469C22×C4—471no—
1470C22×C4—471no—
1471C22×C4—471no—
1472C22×C4—471no—
1473C22×C4—471no—
1474C22×C4—471no—
1475C22×C4—471no—
1476C22×C4—471no—
1477C22×C4—471no—
1478C22×C4—942no—
1479C22×C4—942no—
1480C22×C4—942no—
1481C22×C4—942no—
1482C22×C4—941no—
1483C22×C4—941no—
1484C22×C4—941no—
1485C22×C4—941no—
1486C22×C4—941no—
1487C22×C4—941no—
1488C22×C4—941no—
1489C22×C4—941no—
1490C22×C4—941no—
1491C22×C4—941no—
1492C22×C4—941no—
1493C22×C4—941no—
1494C22×C4—941no—
1495C22×C4—941no—
1496C22×C4—941no—
1497C22×C4—941no—
1498C22×C4—941no—
1499C22×C4—1884no—
1500C22×C4—1884no—
1501C22×C4—1884no—
1502C22×C4C23×D4711yescharacteristic
1503C22×C4C23×D4711yescharacteristic
1504Q16—942no—
1505Q16—942no—
1506Q16—1881no—
1507Q16—1881no—
1508Q16—1881no—
1509Q16—1881no—
1510SD16—22no—
1511SD16—41no—
1512SD16—41no—
1513SD16—942no—
1514SD16—1881no—
1515SD16—1881no—
1516M16—41no—
1517M16—942no—
1518M16—942no—
1519M16—942no—
1520M16—942no—
1521M16—1881no—
1522M16—1881no—
1523M16—1881no—
1524C2×C8—41no—
1525C2×C8—471no—
1526C2×C8—471no—
1527C2×C8—471no—
1528C2×C8—471no—
1529C2×C8—1881no—
1530C2×C8—1881no—
1531C2×C8—1881no—
1532C2×C8C23×D4711yescharacteristic
1533C2×C8C23×D4711yescharacteristic
1534C2×C8C23×D4711yescharacteristic
1535C2×C8C23×D4711yescharacteristic
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—471no—
1543C4⋊C4—471no—
1544C4⋊C4—471no—
1545C4⋊C4—471no—
1546C4⋊C4—471no—
1547C4⋊C4—471no—
1548C4⋊C4—471no—
1549C4⋊C4—941no—
1550C4⋊C4—941no—
1551C4⋊C4—941no—
1552C4⋊C4—941no—
1553C4⋊C4—941no—
1554C4⋊C4—941no—
1555C4⋊C4—941no—
1556C4⋊C4—941no—
1557C4⋊C4—941no—
1558C4⋊C4—941no—
1559C4⋊C4—941no—
1560C4⋊C4—941no—
1561C4⋊C4—941no—
1562C4⋊C4—941no—
1563C4⋊C4—941no—
1564C4⋊C4—941no—
1565C4⋊C4—941no—
1566C4⋊C4—941no—
1567C4⋊C4—941no—
1568C4⋊C4—941no—
1569C4⋊C4—941no—
1570C4⋊C4—941no—
1571C4⋊C4—941no—
1572C4⋊C4—941no—
1573C4⋊C4—941no—
1574C4⋊C4—941no—
1575C4⋊C4—941no—
1576C4⋊C4—941no—
1577C4⋊C4—941no—
1578C4⋊C4D4×D4711yescharacteristic
1579C4⋊C4C23×D4711yescharacteristic
1580C4⋊C4C23×D4711yescharacteristic
1581C4⋊C4C23×D4711yescharacteristic
1582C4⋊C4C23×D4711yescharacteristic
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—471no—
1590C22⋊C4—471no—
1591C22⋊C4—471no—
1592C22⋊C4—471no—
1593C22⋊C4—471no—
1594C22⋊C4—471no—
1595C22⋊C4—941no—
1596C22⋊C4—941no—
1597C22⋊C4—941no—
1598C22⋊C4—941no—
1599C22⋊C4—941no—
1600C22⋊C4—941no—
1601C22⋊C4—941no—
1602C22⋊C4—941no—
1603C22⋊C4—941no—
1604C22⋊C4—941no—
1605C22⋊C4—941no—
1606C22⋊C4—941no—
1607C22⋊C4—941no—
1608C22⋊C4—941no—
1609C22⋊C4—941no—
1610C22⋊C4—941no—
1611C22⋊C4—941no—
1612C22⋊C4—941no—
1613C22⋊C4—941no—
1614C22⋊C4—941no—
1615C22⋊C4—941no—
1616C22⋊C4D4×D4711yescharacteristic
1617C22⋊C4D4×D4711yescharacteristic
1618C42—21no—
1619C42—21no—
1620C42—471no—
1621C42—471no—
1622C42—471no—
1623C42—941no—
1624C42—941no—
1625C42—941no—
1626C42—941no—
1627C42—941no—
1628C42—941no—
1629C42—941no—
1630C42—941no—
1631C42—941no—
1632C42C23×D4711yescharacteristic
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—42no—
1637C23—42no—
1638C23—42no—
1639C23—42no—
1640C23—81no—
1641C23—81no—
1642C23—471no—
1643C23—471no—
1644C23—471no—
1645C23—942no—
1646C23—942no—
1647C23—942no—
1648C23—1881no—
1649C23—1881no—
1650C23—1881no—
1651C23C2×D4×D4711yescharacteristic
1652C23C2×D4×D4711yescharacteristic
1653Q8—21no—
1654Q8—21no—
1655Q8—472no—
1656Q8—941no—
1657Q8—941no—
1658Q8—941no—
1659Q8—941no—
1660Q8—941no—
1661Q8—941no—
1662Q8—941no—
1663Q8—1882no—
1664Q8—1882no—
1665Q8—1882no—
1666D4—22no—
1667D4—21no—
1668D4—21no—
1669D4—21no—
1670D4—21no—
1671D4—21no—
1672D4—42no—
1673D4—42no—
1674D4—42no—
1675D4—42no—
1676D4—42no—
1677D4—81no—
1678D4—944no—
1679D4—942no—
1680D4—3761no—
1681D4—3761no—
1682D4—1881no—
1683D4—1881no—
1684D4—1882no—
1685D4—1882no—
1686D4—1882no—
1687D4—1882no—
1688D4—1882no—
1689D4—1882no—
1690D4#41×D4712yes—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—42no—
1701C2×C4—42no—
1702C2×C4—471no—
1703C2×C4—472no—
1704C2×C4—472no—
1705C2×C4—471no—
1706C2×C4—471no—
1707C2×C4—471no—
1708C2×C4—471no—
1709C2×C4—942no—
1710C2×C4—942no—
1711C2×C4—942no—
1712C2×C4—942no—
1713C2×C4—942no—
1714C2×C4—942no—
1715C2×C4—944no—
1716C2×C4—941no—
1717C2×C4—941no—
1718C2×C4—941no—
1719C2×C4—941no—
1720C2×C4—941no—
1721C2×C4—941no—
1722C2×C4—941no—
1723C2×C4—941no—
1724C2×C4—941no—
1725C2×C4—941no—
1726C2×C4—941no—
1727C2×C4—941no—
1728C2×C4—3761no—
1729C2×C4—1881no—
1730C2×C4—1881no—
1731C2×C4—1882no—
1732C2×C4—1882no—
1733C2×C4—1882no—
1734C2×C4—1882no—
1735C2×C4—1882no—
1736C2×C4—1882no—
1737C2×C4—1882no—
1738C2×C4—1882no—
1739C2×C4—1882no—
1740C2×C4—1882no—
1741C2×C4—1882no—
1742C2×C4—1882no—
1743C2×C4—1882no—
1744C2×C4—1882no—
1745C2×C4—1882no—
1746C2×C4C2×D4×D4711yescharacteristic
1747C2×C4C2×D4×D4711yescharacteristic
1748C2×C4C2×D4×D4711yescharacteristic
1749C2×C4C2×D4×D4711yescharacteristic
1750C2×C4C24×D4711yescharacteristic
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—941no—
1756C8—941no—
1757C8—941no—
1758C8—941no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—22no—
1763C22—21no—
1764C22—21no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—84no—
1774C22—84no—
1775C22—472no—
1776C22—941no—
1777C22—941no—
1778C22—941no—
1779C22—941no—
1780C22—941no—
1781C22—941no—
1782C22—941no—
1783C22—941no—
1784C22—3762no—
1785C22—1884no—
1786C22#1568991912yes—
1787C22C22×D4×D4711yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—472no—
1798C4—941no—
1799C4—941no—
1800C4—942no—
1801C4—941no—
1802C4—941no—
1803C4—1881no—
1804C4—1881no—
1805C4—1881no—
1806C4—1881no—
1807C4—1881no—
1808C4—1881no—
1809C4—1881no—
1810C4C2×#41×D4711yescharacteristic
1811C4H(5,𝔽2)×D4711yescharacteristic
1812C2—22no—
1813C2—41no—
1814C2—42no—
1815C2—81no—
1816C2—81no—
1817C2—942no—
1818C2—1881no—
1819C2—1881no—
1820C2#546×D4711yescharacteristic
1821C2C2×#1568991911yescharacteristic
1822C2#2025817011yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3310C2
socleC22×C47C23×D4
prime radicalD4×#10625352C2
hypercenter#3310D47
hypocenterC47#61163
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #552×D47C2semidirect
3. #20255662C2semidirect
4. #20255654C2semidirect
5. #20255608C2semidirect
6. #20255600C2semidirect
7. #20255521C2semidirect
8. #20255513C2semidirect
9. #20255489C2semidirect
10. #20255481C2semidirect
11. #20255441C2semidirect
12. #20255433C2semidirect
13. #20255409C2semidirect
14. #20255281C2semidirect
15. #20255273C2semidirect
16. #20255227C2semidirect
17. #20255219C2semidirect
18. #20253787C2semidirect
19. #20253316C2semidirect
20. #20253307C2semidirect
21. #20253205C2semidirect
22. #20253013C2semidirect
23. #20253011C2semidirect
24. #20252855C2semidirect
25. #20252643C2semidirect
26. #20252643C2semidirect
27. #20252210C2semidirect
28. #20252121C2semidirect
29. #20251902C2semidirect
30. C2×#15689121C2semidirect
31. C47×#3310C2semidirect
35. C2×#13094053C22semidirect
36. C2×#13094053C22semidirect
37. C22×#10625324C22semidirect
38. C2×M16×D47C22semidirect
39. #15689815C22semidirect
40. #15689814C22semidirect
42. #15689812C22semidirect
43. #15689811C22semidirect
46. #15689808C22semidirect
47. #15689807C22semidirect
65. #125×D47C22semidirect
71. C22⋊Q8×D47C22semidirect
72. C22⋊Q8×D47C22semidirect
74. C4×Q8×D47C22semidirect
78. #117×D47C22semidirect
79. C2×C4⋊C4×D47C22semidirect
80. #15689493C22semidirect
81. #15689492C22semidirect
82. #15689487C22semidirect
83. #15689476C22semidirect
84. #15689476C22semidirect
85. #15689476C22semidirect
86. #15689476C22semidirect
87. #15689467C22semidirect
88. #15689466C22semidirect
89. #15689465C22semidirect
90. #15689464C22semidirect
91. #15689460C22semidirect
92. #15689460C22semidirect
93. #15689454C22semidirect
94. #15689453C22semidirect
95. #15689446C22semidirect
96. #15689445C22semidirect
97. #15689444C22semidirect
98. #15689440C22semidirect
99. #15689440C22semidirect
100. #15689434C22semidirect
101. #15689433C22semidirect
102. #15689431C22semidirect
103. #15689429C22semidirect
104. #15689427C22semidirect
105. #15689425C22semidirect
106. #15689423C22semidirect
107. #15689421C22semidirect
108. #15689382C22semidirect
109. #15689381C22semidirect
110. #15689380C22semidirect
111. #15689379C22semidirect
112. #15689368C22semidirect
113. #15689367C22semidirect
114. #15689366C22semidirect
115. #15689365C22semidirect
116. #15689364C22semidirect
117. #15689363C22semidirect
118. #15689362C22semidirect
119. #15689351C22semidirect
120. #15689350C22semidirect
121. #15689349C22semidirect
122. #15689344C22semidirect
123. #15689344C22semidirect
124. #15689343C22semidirect
125. #15689343C22semidirect
126. #15689334C22semidirect
127. #15689333C22semidirect
128. #15689320C22semidirect
129. #15689286C22semidirect
130. #15689286C22semidirect
131. #15689286C22semidirect
132. #15689286C22semidirect
133. #15689282C22semidirect
134. #15689282C22semidirect
135. #15689282C22semidirect
136. #15689282C22semidirect
137. #15689281C22semidirect
138. #15689281C22semidirect
139. #15689278C22semidirect
140. #15689278C22semidirect
141. #15689274C22semidirect
142. #15689274C22semidirect
143. #15689231C22semidirect
144. #15689228C22semidirect
145. #15689223C22semidirect
146. #15689217C22semidirect
147. #15689215C22semidirect
148. #15689214C22semidirect
149. SD16×Dic47C22semidirect
150. #15689199C22semidirect
151. #15689198C22semidirect
152. #15689196C22semidirect
154. #15689193C22semidirect
155. C8×C22⋊D47C22semidirect
156. (C22⋊D47)⋊C8C22semidirect
157. #15689164C22semidirect
158. #15689164C22semidirect
159. #15689162C22semidirect
160. #15689145C22semidirect
161. #15689133C22semidirect
162. #15689131C22semidirect
163. #15689130C22semidirect
164. #15689128C22semidirect
168. #15689121C22semidirect
169. #15689121C22semidirect
170. #15689121C22semidirect
171. #15689121C22semidirect
172. #15689121C22semidirect
173. #15689121C22semidirect
174. #15689121C22semidirect
175. #15689121C22semidirect
176. #15689121C22semidirect
177. #15689121C22semidirect
178. #15689116C22semidirect
179. #15689116C22semidirect
180. #15689116C22semidirect
181. #15689116C22semidirect
182. C2×#13093949C22semidirect
183. C2×#13093947C22semidirect
184. C2×#13093945C22semidirect
185. #15689085C22semidirect
186. #15689085C22semidirect
187. #15689075C22semidirect
190. C47×#490C22semidirect
191. C47×#482C22semidirect
192. C47×#480C22semidirect
193. C47×#478C22semidirect
194. C47×#468C22semidirect
195. C47×#465C22semidirect
196. C47×#460C22semidirect
197. C47×#450C22semidirect
198. C47×#450C22semidirect
199. C47×#440C22semidirect
201. C47×#418C22semidirect
202. C2×#102×C47C22semidirect
914. #3310D47semidirect
996. #490C2×D47semidirect
1012. #482C2×D47semidirect
1016. #480C2×D47semidirect
1024. #478C2×D47semidirect
1032. #468C2×D47semidirect
1040. #465C2×D47semidirect
1048. #460C2×D47semidirect
1063. #450C2×D47semidirect
1064. #450C2×D47semidirect
1068. #440C2×D47semidirect
1089. #418C2×D47semidirect
1110. C2×#102C2×D47semidirect
1114. C47#61163semidirect

Maximal subgroups

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

subgroupindex
#552×D472
D4×#106253522
#202556622
#202556542
#202556082
#202556002
#202555212
#202555132
#202554892
#202554812
#202554412
#202554332
#202554092
#202552812
#202552732
#202552272
#202552192
#202537872
#202533162
#202533072
#202532052
#202530132
#202530112
#202528552
#202526432
#202522102
#202521212
#202519022
C2×#156891212
C47×#33102
#6116347