Finite Group Databasebeta

← #27102456

Subgroups — #27102456

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#20257027C211yesmaximal, characteristic, complemented
3#20255549C211yesmaximal, characteristic, complemented
4#20255548C211yesmaximal, characteristic, complemented
5#20255426C211yesmaximal, characteristic, complemented
6#20255419C211yesmaximal, characteristic, complemented
7#20255319C211yesmaximal, characteristic, complemented
8#20255311C211yesmaximal, characteristic, complemented
9#20255305C211yesmaximal, characteristic, complemented
10#20255298C211yesmaximal, characteristic, complemented
11#20255101C211yesmaximal, characteristic, complemented
12#20255089C211yesmaximal, characteristic, complemented
13#20255069C211yesmaximal, characteristic, complemented
14#20255066C211yesmaximal, characteristic, complemented
15#20254942C211yesmaximal, characteristic, complemented
16#20254936C211yesmaximal, characteristic, complemented
17#20254907C211yesmaximal, characteristic, complemented
18#20254496C211yesmaximal, characteristic, complemented
19#20254492C211yesmaximal, characteristic, complemented
20#20254280C211yesmaximal, characteristic, complemented
21#20254257C211yesmaximal, characteristic, complemented
22#20254180C211yesmaximal, characteristic, complemented
23#20254177C211yesmaximal, characteristic, complemented
24#20253571C211yesmaximal, characteristic, complemented
25#20253570C211yesmaximal, characteristic, complemented
26#20252662C211yesmaximal, characteristic, complemented
27#20252655C211yesmaximal, characteristic, complemented
28#20252603C211yesmaximal, characteristic, complemented
29#20252602C211yesmaximal, characteristic, complemented
30#20252439C211yesmaximal, characteristic, complemented
31C47×#3267C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic
33C2×#41×D47C2211yescharacteristic, complemented
34C2×#13094056C2211yescharacteristic, complemented
35C2×#13094045C2211yescharacteristic, complemented
36C2×#13094044C2211yescharacteristic, complemented
37C2×#13094043C2211yescharacteristic, complemented
38C2×SD16×D47C2211yescharacteristic, complemented
39C22×#10625334C2211yescharacteristic, 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#15689776C2211yescharacteristic, complemented
51#15689775C2211yescharacteristic, complemented
52#15689774—21no—
53#15689772C2211yescharacteristic
54#15689771—21no—
55#15689769C2211yescharacteristic
56#15689768C2211yescharacteristic, complemented
57#15689767C2211yescharacteristic, complemented
58#15689765—21no—
59#15689764C2211yescharacteristic
60#15689762—21no—
61#15689761C2211yescharacteristic, complemented
62#15689742C2211yescharacteristic, complemented
63#15689741—21no—
64#15689740—21no—
65#15689738C2211yescharacteristic, complemented
66#15689711—21no—
67#15689708—21no—
68#15689698C2211yescharacteristic, complemented
69#15689696C2211yescharacteristic
70#15689696C2211yescharacteristic
71#15689690C2211yescharacteristic
72#15689684—21no—
73#15689681—21no—
74#15689636C2211yescharacteristic, complemented
75#15689633C2211yescharacteristic, complemented
76#15689632C2211yescharacteristic
77#15689630C2211yescharacteristic, complemented
78C2×#13094009—21no—
79#123×D47—21no—
80#15689595C2211yescharacteristic, complemented
81#15689514C2211yescharacteristic, complemented
82#15689505C2211yescharacteristic, complemented
83#15689504C2211yescharacteristic, complemented
84#15689484C2211yescharacteristic, complemented
85#15689483C2211yescharacteristic, complemented
86#15689473C2211yescharacteristic, complemented
87#15689472C2211yescharacteristic, complemented
88#15689467C2211yescharacteristic, complemented
89#15689467C2211yescharacteristic, complemented
90#15689465C2211yescharacteristic, complemented
91#15689462C2211yescharacteristic, complemented
92#15689462C2211yescharacteristic, complemented
93#15689462C2211yescharacteristic, complemented
94#15689461C2211yescharacteristic, complemented
95#15689461C2211yescharacteristic, complemented
96#15689449C2211yescharacteristic, complemented
97#15689448C2211yescharacteristic, complemented
98#15689446C2211yescharacteristic, complemented
99#15689445C2211yescharacteristic, complemented
100#15689414C2211yescharacteristic, complemented
101#15689412C2211yescharacteristic, complemented
102#15689403C2211yescharacteristic, complemented
103#15689401C2211yescharacteristic, complemented
104#15689381C2211yescharacteristic, complemented
105#15689368C2211yescharacteristic, complemented
106#15689366C2211yescharacteristic, complemented
107#15689362C2211yescharacteristic, complemented
108#15689362C2211yescharacteristic, complemented
109#15689362C2211yescharacteristic, complemented
110#15689361C2211yescharacteristic, complemented
111#15689358C2211yescharacteristic, complemented
112#15689357C2211yescharacteristic, complemented
113#15689355C2211yescharacteristic, complemented
114#15689352C2211yescharacteristic, complemented
115#15689351C2211yescharacteristic, complemented
116#15689349C2211yescharacteristic, complemented
117#15689349C2211yescharacteristic, complemented
118#15689347C2211yescharacteristic, complemented
119#15689346C2211yescharacteristic, complemented
120#15689340C2211yescharacteristic, complemented
121#15689338C2211yescharacteristic, complemented
122#15689337C2211yescharacteristic, complemented
123#15689336C2211yescharacteristic, complemented
124#15689335C2211yescharacteristic, complemented
125#15689331C2211yescharacteristic, complemented
126#15689330C2211yescharacteristic, complemented
127#15689326C2211yescharacteristic, complemented
128#15689288C2211yescharacteristic, complemented
129#15689287C2211yescharacteristic, complemented
130#15689285C2211yescharacteristic, complemented
131#15689285C2211yescharacteristic, complemented
132#15689284C2211yescharacteristic, complemented
133#15689284C2211yescharacteristic, complemented
134#15689282C2211yescharacteristic, complemented
135#15689282C2211yescharacteristic, complemented
136#15689280C2211yescharacteristic, complemented
137#15689280C2211yescharacteristic, complemented
138#15689277C2211yescharacteristic, complemented
139#15689277C2211yescharacteristic, complemented
140#15689276C2211yescharacteristic, complemented
141#15689275C2211yescharacteristic, complemented
142#15689274C2211yescharacteristic, complemented
143#15689273C2211yescharacteristic, complemented
144#15689272C2211yescharacteristic, complemented
145#15689269C2211yescharacteristic, complemented
146#15689268C2211yescharacteristic, complemented
147#15689267C2211yescharacteristic
148#15689267C2211yescharacteristic
149#15689267C2211yescharacteristic, complemented
150#15689267C2211yescharacteristic, complemented
151#15689267C2211yescharacteristic, complemented
152#15689266C2211yescharacteristic, complemented
153#15689265C2211yescharacteristic, complemented
154#15689260C2211yescharacteristic, complemented
155#15689260C2211yescharacteristic, complemented
156#15689255C2211yescharacteristic
157#15689255C2211yescharacteristic
158#15689255C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689235C2211yescharacteristic, complemented
161#15689226C2211yescharacteristic, complemented
162#15689225C2211yescharacteristic, complemented
163SD16×Dic47C2211yescharacteristic, complemented
164C4×#10625335C2211yescharacteristic, complemented
165C4×#10625334C2211yescharacteristic, complemented
166#15689203C2211yescharacteristic, complemented
167#15689196C2211yescharacteristic, complemented
168#15689192C2211yescharacteristic, complemented
169#15689191C2211yescharacteristic, complemented
170D4×C47⋊C8C2211yescharacteristic, complemented
171#15689188C2211yescharacteristic, complemented
172C8×C22⋊D47C2211yescharacteristic, complemented
173(C22⋊D47)⋊C8C2211yescharacteristic, complemented
174#15689185C2211yescharacteristic, complemented
175#15689183C2211yescharacteristic, complemented
176#15689129C2211yescharacteristic, complemented
177#15689126C2211yescharacteristic, complemented
178#15689120C2211yescharacteristic, complemented
179#15689119C2211yescharacteristic, complemented
180#15689119C2211yescharacteristic, complemented
181#15689118C2211yescharacteristic, complemented
182#15689118C2211yescharacteristic, complemented
183#15689116C2211yescharacteristic, complemented
184#15689091C2211yescharacteristic
185#15689088C2211yescharacteristic
186C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
189C2×#135×C47C2211yescharacteristic, complemented
190C47×#547C2211yescharacteristic
191C47×#546C2211yescharacteristic, complemented
192C47×#497C2211yescharacteristic, complemented
193C47×#470C2211yescharacteristic, complemented
194C47×#465C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#461C2211yescharacteristic, complemented
197C47×#452C2211yescharacteristic, complemented
198C47×#452C2211yescharacteristic, complemented
199C47×#450C2211yescharacteristic, complemented
200C47×#449C2211yescharacteristic, complemented
201C47×#442C2211yescharacteristic, complemented
202C47×#435C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625354C2311yescharacteristic
207C2×#10625354C2311yescharacteristic
208C2×#10625350—21no—
209C2×#10625350—21no—
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625352—21no—
213C2×#10625352C2311yescharacteristic
214C2×#10625352C2311yescharacteristic
215#41×D47—42no—
216#41×D47—42no—
217C2×Q8×D47C2311yescharacteristic
218C2×Q8×D47C2311yescharacteristic
219C22×D188—21no—
220C22×D188C2311yescharacteristic
221C2×D4×D47—21no—
222C2×D4×D47—21no—
223C2×D4×D47—21no—
224C2×D4×D47C2311yescharacteristic
225C2×D4×D47C2311yescharacteristic
226C22×C4×D47—21no—
227C22×C4×D47C2311yescharacteristic
228#13094056—42no—
229#13094045—42no—
230#13094044—42no—
231#13094043—42no—
232C2×Dic188C2311yescharacteristic
233C2×#10625337C2311yescharacteristic
234C2×#10625337C2311yescharacteristic
235C2×#10625337C2311yescharacteristic
236C2×#10625325C2311yescharacteristic
237C2×#10625325C2311yescharacteristic
238C2×#10625335C2311yescharacteristic
239C2×#10625335C2311yescharacteristic
240C2×#10625335C2311yescharacteristic
241C2×#10625336C2311yescharacteristic
242C2×#10625336C2311yescharacteristic
243SD16×D47—42no—
244C2×#10625334—42no—
245C2×#10625334C2311yescharacteristic
246C2×#10625334C2311yescharacteristic
247C2×#10625334C2311yescharacteristic
248C2×#10625334C2311yescharacteristic
249C2×#10625324C2311yescharacteristic
250C22×C47⋊C8C2311yescharacteristic
251C22×C47⋊C8C2311yescharacteristic
252C2×C8×D47C2311yescharacteristic
253C2×C8×D47C2311yescharacteristic
254C2×C8×D47C2311yescharacteristic
255#13094024C2311yescharacteristic
256#13094023—21no—
257#13094023—21no—
258#13094023C2311yescharacteristic
259#13094022C2311yescharacteristic
260#13094020—21no—
261#13094019—21no—
262#13094017—21no—
263#13094017—21no—
264#13094017—21no—
265#13094017—21no—
266#13094017—21no—
267#13094013C2311yescharacteristic
268#13094012C2311yescharacteristic
269#13094011—21no—
270#13094011—21no—
271#13094011—21no—
272#13094011—21no—
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#13094009—21no—
287#13094009—21no—
288#13094009—21no—
289#13094009—21no—
290#13094009—21no—
291#13094009—21no—
292#13094009—21no—
293#13094009D411yescharacteristic
294#13094008—21no—
295#13094008—21no—
296#13094007—21no—
297#13094007—21no—
298#13094007—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#13094004C2311yescharacteristic
308#13094004C2311yescharacteristic
309#13094003—21no—
310#13094003—21no—
311#13094003C2311yescharacteristic
312#13094003C2311yescharacteristic
313#13094003C2311yescharacteristic
314#13094002—21no—
315#13094002—21no—
316#13094002D411yescharacteristic
317#13094001—21no—
318#13094001—21no—
319#13094001D411yescharacteristic
320#13094000C2311yescharacteristic
321#13094000C2311yescharacteristic
322#13094000C2311yescharacteristic
323#13094000C2311yescharacteristic
324#13093999—21no—
325#13093999—21no—
326#13093999C2311yescharacteristic
327#13093998—21no—
328#13093998—21no—
329#13093998C2311yescharacteristic
330#13093997—21no—
331#13093997—21no—
332#13093997—21no—
333#13093997D411yescharacteristic
334#13093996—21no—
335#13093996—21no—
336#13093996—21no—
337#13093996—21no—
338#13093996D411yescharacteristic
339#13093995—21no—
340#13093995C2311yescharacteristic
341#13093995C2311yescharacteristic
342#13093995C2311yescharacteristic
343#13093995C2311yescharacteristic
344#13093995C2311yescharacteristic
345#13093994—21no—
346#13093994—21no—
347#13093994—21no—
348#13093994D411yescharacteristic
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×Dic47C2311yescharacteristic
365D4×Dic47C2311yescharacteristic
366#13093986—21no—
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×Dic47⋊C4—21no—
387C4⋊C4×D47—21no—
388C4⋊C4×D47—21no—
389C2×C22⋊Dic47—21no—
390C2×(C2×D47)⋊C4—21no—
391C2×(C2×D47)⋊C4—21no—
392C2×(C2×D47)⋊C4—21no—
393C22⋊C4×D47—21no—
394C22⋊C4×D47—21no—
395C22⋊C4×D47—21no—
396#13093958C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093957C2311yescharacteristic
400#13093956C2311yescharacteristic
401#13093956C2311yescharacteristic
402#13093955C2311yescharacteristic
403C4⋊(C47⋊C8)C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093948C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093945C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432C22⋊(C47⋊C8)C2311yescharacteristic
433C22⋊(C47⋊C8)C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442#13093934C2311yescharacteristic
443C4×C47⋊C8C2311yescharacteristic
444C8×Dic47C2311yescharacteristic
445C2×#41×C47C2311yescharacteristic
446C2×#41×C47C2311yescharacteristic
447C2×#41×C47C2311yescharacteristic
448C22×D4×C47C2311yescharacteristic
449AGL(1,ℤ/8)×C47—42no—
450#135×C47—42no—
451C2×Q16×C47C2311yescharacteristic
452C2×Q16×C47C2311yescharacteristic
453C2×SD16×C47C2311yescharacteristic
454C2×SD16×C47C2311yescharacteristic
455C2×SD16×C47C2311yescharacteristic
456C2×SD16×C47C2311yescharacteristic
457C2×SD16×C47C2311yescharacteristic
458C2×D8×C47C2311yescharacteristic
459C2×D8×C47C2311yescharacteristic
460C2×M16×C47C2311yescharacteristic
461C22×C8×C47C2311yescharacteristic
462C4⋊Q8×C47C2311yescharacteristic
463#124×C47C2311yescharacteristic
464#123×C47—21no—
465#123×C47—21no—
466#123×C47—21no—
467C22⋊Q8×C47C2311yescharacteristic
468C22⋊Q8×C47C2311yescharacteristic
469C22⋊Q8×C47C2311yescharacteristic
470#121×C47—21no—
471#121×C47—21no—
472#121×C47C2311yescharacteristic
473#120×C47—21no—
474C4×D4×C47C2311yescharacteristic
475C4×D4×C47C2311yescharacteristic
476C4×D4×C47C2311yescharacteristic
477C2×C4⋊C4×C47—21no—
478C2×C22⋊C4×C47—21no—
479#106×C47C2311yescharacteristic
480C4⋊C8×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#103×C47C2311yescharacteristic
483#103×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486#102×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489#97×C47C2311yescharacteristic
490C24×C47—21no—
491C23×D47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47C2×D411yescharacteristic
495#41×C47—22no—
496#41×C47—22no—
497#41×C47—41no—
498#41×C47—41no—
499#41×C47—41no—
500#41×C47—41no—
501C2×Q8×C47C2411yescharacteristic
502C2×Q8×C47C2411yescharacteristic
503C2×Q8×C47C2411yescharacteristic
504C2×D4×C47—21no—
505C2×D4×C47—21no—
506C2×D4×C47—21no—
507C2×D4×C47—21no—
508C2×D4×C47—21no—
509C2×D4×C47—41no—
510C2×D4×C47—41no—
511C2×D4×C47C2×D411yescharacteristic
512C2×D4×C47C2411yescharacteristic
513C2×D4×C47C2411yescharacteristic
514C2×D4×C47C2411yescharacteristic
515C22×C4×C47—21no—
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⋊D47C2×D411yescharacteristic
534C2×C22⋊D47C2×D411yescharacteristic
535C2×C22⋊D47C2×D411yescharacteristic
536C2×C22⋊D47C2×D411yescharacteristic
537C22×Dic47—21no—
538C22×Dic47—21no—
539C22×Dic47—21no—
540C22×Dic47—21no—
541C22×Dic47C2×D411yescharacteristic
542#10625354—22no—
543#10625354—22no—
544#10625354—41no—
545#10625354—41no—
546#10625354—41no—
547#10625354—41no—
548Q8×D47—41no—
549Q8×D47—41no—
550Q8×D47—41no—
551Q8×D47—41no—
552#10625352—22no—
553#10625352—41no—
554#10625352—41no—
555#10625352—41no—
556#10625352—44no—
557D4×D47—22no—
558D4×D47—22no—
559D4×D47—22no—
560D4×D47—41no—
561D4×D47—44no—
562D4×D47—44no—
563D4×D47—44no—
564#10625350—22no—
565#10625350—41no—
566#10625350—41no—
567#10625350—41no—
568#10625350—44no—
569#10625350—44no—
570C2×D188—22no—
571C2×D188—21no—
572C2×D188—21no—
573C2×D188—21no—
574C2×D188—21no—
575C2×D188—21no—
576C2×D188—41no—
577C2×D188—44no—
578C2×D188C2×D411yescharacteristic
579C2×D188C2×D411yescharacteristic
580C2×D188C2411yescharacteristic
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—21no—
590C2×C4×D47—41no—
591C2×C4×D47—41no—
592C2×C4×D47—44no—
593C2×C4×D47C2×D411yescharacteristic
594C2×C4×D47C2×D411yescharacteristic
595C2×C4×D47C2411yescharacteristic
596C2×C4×D47C2411yescharacteristic
597C2×C4×D47C2411yescharacteristic
598C2×Dic94—21no—
599C2×Dic94—21no—
600C2×Dic94—21no—
601C2×Dic94—21no—
602C2×Dic94C2×D411yescharacteristic
603C2×Dic94C2411yescharacteristic
604C2×Dic94C2411yescharacteristic
605Q16×C47—41no—
606Q16×C47—41no—
607SD16×C47—22no—
608SD16×C47—41no—
609SD16×C47—41no—
610SD16×C47—41no—
611SD16×C47—41no—
612D8×C47—22no—
613D8×C47—22no—
614M16×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×C47—21no—
623C4⋊C4×C47—21no—
624C4⋊C4×C47—21no—
625C4⋊C4×C47C2×D411yescharacteristic
626C4⋊C4×C47C2411yescharacteristic
627C4⋊C4×C47C2411yescharacteristic
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×C47—21no—
636C22⋊C4×C47C2×D411yescharacteristic
637C22⋊C4×C47C2×D411yescharacteristic
638C42×C47C2411yescharacteristic
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⋊Dic47C2×D411yescharacteristic
654C22⋊Dic47C2×D411yescharacteristic
655#10625337—41no—
656#10625337—41no—
657#10625337—41no—
658#10625336—22no—
659#10625336—41no—
660#10625335—22no—
661#10625335—41no—
662#10625335—41no—
663#10625334—22no—
664#10625334—22no—
665#10625334—41no—
666#10625334—41no—
667(C2×D47)⋊C4—21no—
668(C2×D47)⋊C4—21no—
669(C2×D47)⋊C4—21no—
670(C2×D47)⋊C4—21no—
671(C2×D47)⋊C4—21no—
672(C2×D47)⋊C4—21no—
673(C2×D47)⋊C4—21no—
674(C2×D47)⋊C4—21no—
675(C2×D47)⋊C4—21no—
676(C2×D47)⋊C4—21no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4—21no—
682(C2×D47)⋊C4—21no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4C2×D411yescharacteristic
685(C2×D47)⋊C4C2×D411yescharacteristic
686(C2×D47)⋊C4C2×D411yescharacteristic
687(C2×D47)⋊C4C2×D411yescharacteristic
688(C2×D47)⋊C4C2×D411yescharacteristic
689(C2×D47)⋊C4C2×D411yescharacteristic
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
722C2×C47⋊C8—41no—
723C2×C47⋊C8—41no—
724C2×C47⋊C8C2411yescharacteristic
725C2×C47⋊C8C2411yescharacteristic
726C2×C47⋊C8C2411yescharacteristic
727C2×C47⋊C8C2411yescharacteristic
728Dic188—41no—
729#10625325—22no—
730#10625325—41no—
731#10625324—41no—
732C8×D47—41no—
733C8×D47—41no—
734C8×D47—41no—
735C23×C47—21no—
736C23×C47—21no—
737C23×C47—21no—
738C23×C47—81no—
739C23×C47—81no—
740C23×C47—81no—
741C23×C47C22×D411yescharacteristic
742C23×C47C22×D411yescharacteristic
743C22×D47—21no—
744C22×D47—24no—
745C22×D47—21no—
746C22×D47—41no—
747C22×D47—41no—
748C22×D47—41no—
749C22×D47—42no—
750C22×D47—42no—
751C22×D47—81no—
752C22×D47—81no—
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—
764Q8×C47—21no—
765Q8×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×C47H(5,𝔽2)12yes—
778C2×C4×C47—21no—
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—42no—
789C2×C4×C47—81no—
790C2×C4×C47—81no—
791C2×C4×C47—81no—
792C2×C4×C47C22×D411yescharacteristic
793C2×C4×C47C22×D411yescharacteristic
794C2×C4×C47C22×D411yescharacteristic
795C2×C4×C47C22×D411yescharacteristic
796C2×C4×C47C2511yescharacteristic
797C22⋊D47—24no—
798C22⋊D47—41no—
799C22⋊D47—41no—
800C22⋊D47—41no—
801C22⋊D47—41no—
802C22⋊D47—42no—
803C22⋊D47—42no—
804C22⋊D47—42no—
805C22⋊D47—81no—
806C22⋊D47—81no—
807C22⋊D47—81no—
808C22⋊D47—81no—
809C22⋊D47—81no—
810C22⋊D47—81no—
811C22⋊D47—81no—
812C2×Dic47—21no—
813C2×Dic47—21no—
814C2×Dic47—21no—
815C2×Dic47—21no—
816C2×Dic47—21no—
817C2×Dic47—21no—
818C2×Dic47—41no—
819C2×Dic47—42no—
820C2×Dic47—81no—
821C2×Dic47—81no—
822C2×Dic47—81no—
823C2×Dic47C22×D411yescharacteristic
824C2×Dic47C22×D411yescharacteristic
825C2×Dic47C22×D411yescharacteristic
826C2×Dic47C22×D411yescharacteristic
827C2×Dic47C22×D411yescharacteristic
828D188—21no—
829D188—21no—
830D188—21no—
831D188—41no—
832D188—41no—
833D188—42no—
834D188—42no—
835D188—42no—
836D188—42no—
837D188—81no—
838D188H(5,𝔽2)12yes—
839C4×D47—21no—
840C4×D47—21no—
841C4×D47—21no—
842C4×D47—21no—
843C4×D47—21no—
844C4×D47—21no—
845C4×D47—41no—
846C4×D47—41no—
847C4×D47—42no—
848C4×D47—42no—
849C4×D47—42no—
850C4×D47—42no—
851C4×D47—42no—
852C4×D47—81no—
853C4×D47—81no—
854C4×D47—81no—
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—162no—
889C22×C47C23×D411yescharacteristic
890C2×D47—21no—
891C2×D47—21no—
892C2×D47—21no—
893C2×D47—21no—
894C2×D47—21no—
895C2×D47—21no—
896C2×D47—21no—
897C2×D47—21no—
898C2×D47—21no—
899C2×D47—22no—
900C2×D47—41no—
901C2×D47—41no—
902C2×D47—41no—
903C2×D47—41no—
904C2×D47—41no—
905C2×D47—84no—
906C2×D47—82no—
907C2×D47—162no—
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×C47—41no—
918C4×C47C2×H(5,𝔽2)11yescharacteristic
919C4×C47C2×H(5,𝔽2)11yescharacteristic
920Dic47—21no—
921Dic47—21no—
922Dic47—21no—
923Dic47—21no—
924Dic47—21no—
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#3280—471no—
945#3269—471no—
946#3269—471no—
947#3267—471no—
948#3267D4711yescharacteristic, complemented
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—42no—
963C2×C47—41no—
964C2×C47—41no—
965C2×C47—81no—
966C2×C47—81no—
967C2×C47#348411yescharacteristic
968C2×C47#358411yescharacteristic
969C2×C47#358411yescharacteristic
970D47—41no—
971D47—41no—
972D47—41no—
973D47—42no—
974D47—81no—
975C2×H(5,𝔽2)—471no—
976C22×#41—471no—
977C2×#137—471no—
978C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
979C2×#135—471no—
980C2×#135—471no—
981C2×#135—471no—
982C2×#135C2×D4711yescharacteristic, complemented
983C22×SD16—471no—
984C22×D8—471no—
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—941no—
999#547—941no—
1000#547C2×D4711yescharacteristic
1001#546—471no—
1002#546—471no—
1003#546—471no—
1004#546—471no—
1005#546—471no—
1006#546—941no—
1007#546—941no—
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#497C2×D4711yescharacteristic, complemented
1030#495—471no—
1031#495—471no—
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#470C2×D4711yescharacteristic, complemented
1054#468—471no—
1055#468—471no—
1056#467—471no—
1057#467—471no—
1058#467—471no—
1059#467—471no—
1060#466—471no—
1061#466—471no—
1062#465—471no—
1063#465—471no—
1064#465—471no—
1065#465—471no—
1066#465—471no—
1067#465C2×D4711yescharacteristic, complemented
1068#464—471no—
1069#464—471no—
1070#463—471no—
1071#463—471no—
1072#463—471no—
1073#463—471no—
1074#463—471no—
1075#463C2×D4711yescharacteristic, complemented
1076#462—471no—
1077#462—471no—
1078#461—471no—
1079#461C2×D4711yescharacteristic, complemented
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#452C2×D4711yescharacteristic, complemented
1089#452C2×D4711yescharacteristic, complemented
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#450—471no—
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#449—471no—
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#442C2×D4711yescharacteristic, complemented
1118#440—471no—
1119#440—471no—
1120C4×SD16—471no—
1121C4×SD16—471no—
1122C4×D8—471no—
1123C4×D8—471no—
1124#435—471no—
1125#435—471no—
1126#435—471no—
1127#435C2×D4711yescharacteristic, complemented
1128C8×D4—471no—
1129C8×D4—471no—
1130C8×D4—471no—
1131C8×D4—471no—
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—941no—
1157C2×#41—941no—
1158C2×#41—941no—
1159C2×#41—1882no—
1160C2×#41—1882no—
1161C2×#41C22×D4711yescharacteristic
1162C2×#41C22×D4711yescharacteristic
1163C2×#41C22×D4711yescharacteristic
1164C22×Q8—471no—
1165C22×Q8—471no—
1166C22×D4—471no—
1167C22×D4—471no—
1168C22×D4—471no—
1169C22×D4—941no—
1170C22×D4—941no—
1171C22×D4—941no—
1172C22×D4—941no—
1173C22×D4C22×D4711yescharacteristic
1174C23×C4—471no—
1175C23×C4—941no—
1176#137—1882no—
1177AGL(1,ℤ/8)—42no—
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×Q16C22×D4711yescharacteristic
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—1882no—
1196C2×SD16C22×D4711yescharacteristic
1197C2×SD16C22×D4711yescharacteristic
1198C2×SD16C22×D4711yescharacteristic
1199C2×SD16C22×D4711yescharacteristic
1200C2×SD16C22×D4711yescharacteristic
1201C2×D8—471no—
1202C2×D8—471no—
1203C2×D8—471no—
1204C2×D8—471no—
1205C2×D8—1882no—
1206C2×D8C22×D4711yescharacteristic
1207C2×D8C22×D4711yescharacteristic
1208C2×M16—471no—
1209C2×M16C22×D4711yescharacteristic
1210C22×C8—471no—
1211C22×C8—471no—
1212C22×C8—471no—
1213C22×C8—471no—
1214C22×C8—471no—
1215C22×C8C22×D4711yescharacteristic
1216C4⋊Q8—471no—
1217C4⋊Q8—471no—
1218C4⋊Q8—471no—
1219C4⋊Q8—941no—
1220C4⋊Q8—941no—
1221C4⋊Q8C22×D4711yescharacteristic
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—471no—
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#124—941no—
1245#124C22×D4711yescharacteristic
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—471no—
1250#123—471no—
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—941no—
1285C22⋊Q8—941no—
1286C22⋊Q8—941no—
1287C22⋊Q8—941no—
1288C22⋊Q8—941no—
1289C22⋊Q8—941no—
1290C22⋊Q8C22×D4711yescharacteristic
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—471no—
1304#121—941no—
1305#121—941no—
1306#121—941no—
1307#121—941no—
1308#121—941no—
1309#121—941no—
1310#121—941no—
1311#121—941no—
1312#121—941no—
1313#121—941no—
1314#121—941no—
1315#121—941no—
1316#121C22×D4711yescharacteristic
1317#120—21no—
1318#120—471no—
1319#120—471no—
1320#120—941no—
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—21no—
1363C2×C4⋊C4—941no—
1364C2×C4⋊C4—941no—
1365C2×C4⋊C4—941no—
1366C2×C22⋊C4—21no—
1367C2×C22⋊C4—941no—
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#107—471no—
1378#106—471no—
1379#106—471no—
1380#106—471no—
1381#106C22×D4711yescharacteristic
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#103C22×D4711yescharacteristic
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#102—471no—
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#97C22×D4711yescharacteristic
1432C4×C8—471no—
1433C4×C8—471no—
1434C24—21no—
1435C24—471no—
1436C24—941no—
1437C24—941no—
1438C24—941no—
1439#41—22no—
1440#41—22no—
1441#41—41no—
1442#41—41no—
1443#41—41no—
1444#41—41no—
1445#41—942no—
1446#41—942no—
1447#41—942no—
1448#41—942no—
1449#41—1881no—
1450#41—1881no—
1451#41—1881no—
1452#41—1884no—
1453#41—1884no—
1454#41—1881no—
1455#41—1881no—
1456#41—1881no—
1457#41—1881no—
1458#41—1881no—
1459#41—1881no—
1460#41—1881no—
1461#41—1884no—
1462C2×Q8—471no—
1463C2×Q8—471no—
1464C2×Q8—471no—
1465C2×Q8—941no—
1466C2×Q8—941no—
1467C2×Q8—941no—
1468C2×Q8—941no—
1469C2×Q8—1881no—
1470C2×Q8—1881no—
1471C2×Q8—1881no—
1472C2×Q8—1881no—
1473C2×Q8C23×D4711yescharacteristic
1474C2×Q8C23×D4711yescharacteristic
1475C2×Q8C23×D4711yescharacteristic
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—41no—
1482C2×D4—41no—
1483C2×D4—471no—
1484C2×D4—471no—
1485C2×D4—471no—
1486C2×D4—471no—
1487C2×D4—471no—
1488C2×D4—471no—
1489C2×D4—471no—
1490C2×D4—471no—
1491C2×D4—942no—
1492C2×D4—941no—
1493C2×D4—941no—
1494C2×D4—941no—
1495C2×D4—941no—
1496C2×D4—941no—
1497C2×D4—941no—
1498C2×D4—942no—
1499C2×D4—942no—
1500C2×D4—942no—
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—1881no—
1514C2×D4—1884no—
1515C2×D4—1884no—
1516C2×D4—1884no—
1517C2×D4D4×D4711yescharacteristic
1518C2×D4C23×D4711yescharacteristic
1519C2×D4C23×D4711yescharacteristic
1520C2×D4C23×D4711yescharacteristic
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—471no—
1527C22×C4—471no—
1528C22×C4—471no—
1529C22×C4—471no—
1530C22×C4—471no—
1531C22×C4—471no—
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—41no—
1551Q16—1881no—
1552Q16—1881no—
1553Q16—1881no—
1554Q16—1881no—
1555SD16—22no—
1556SD16—41no—
1557SD16—41no—
1558SD16—41no—
1559SD16—41no—
1560SD16—942no—
1561SD16—942no—
1562SD16—942no—
1563SD16—1881no—
1564SD16—1881no—
1565SD16—1881no—
1566SD16—1881no—
1567D8—22no—
1568D8—22no—
1569D8—942no—
1570D8—942no—
1571D8—1881no—
1572D8—1881no—
1573M16—41no—
1574M16—1881no—
1575C2×C8—41no—
1576C2×C8—471no—
1577C2×C8—471no—
1578C2×C8—471no—
1579C2×C8—471no—
1580C2×C8—1881no—
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—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—471no—
1595C4⋊C4—471no—
1596C4⋊C4—471no—
1597C4⋊C4—471no—
1598C4⋊C4—471no—
1599C4⋊C4—471no—
1600C4⋊C4—471no—
1601C4⋊C4—471no—
1602C4⋊C4—471no—
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—471no—
1630C22⋊C4—471no—
1631C22⋊C4—471no—
1632C22⋊C4—471no—
1633C22⋊C4—471no—
1634C22⋊C4—471no—
1635C22⋊C4—471no—
1636C22⋊C4—471no—
1637C22⋊C4—941no—
1638C22⋊C4—941no—
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—81no—
1683C23—81no—
1684C23—81no—
1685C23—471no—
1686C23—471no—
1687C23—471no—
1688C23—944no—
1689C23—941no—
1690C23—941no—
1691C23—3761no—
1692C23—3761no—
1693C23—3761no—
1694C23—3761no—
1695C23—3761no—
1696C23—3761no—
1697C23—1881no—
1698C23—1881no—
1699C23—1881no—
1700C23—1882no—
1701C23—1882no—
1702C23C2×D4×D4711yescharacteristic
1703C23C2×D4×D4711yescharacteristic
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—21no—
1709Q8—21no—
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—41no—
1725D4—42no—
1726D4—42no—
1727D4—81no—
1728D4—81no—
1729D4—81no—
1730D4—472no—
1731D4—944no—
1732D4—941no—
1733D4—941no—
1734D4—941no—
1735D4—3761no—
1736D4—3761no—
1737D4—3761no—
1738D4—3761no—
1739D4—3761no—
1740D4—3761no—
1741D4—3761no—
1742D4—3761no—
1743D4—1881no—
1744D4—1881no—
1745D4—1882no—
1746D4—1882no—
1747D4—1882no—
1748D4—1882no—
1749D4—1881no—
1750D4—1881no—
1751D4—1881no—
1752D4—1881no—
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—21no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—81no—
1769C2×C4—81no—
1770C2×C4—81no—
1771C2×C4—471no—
1772C2×C4—471no—
1773C2×C4—471no—
1774C2×C4—471no—
1775C2×C4—471no—
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—941no—
1788C2×C4—3761no—
1789C2×C4—3761no—
1790C2×C4—3761no—
1791C2×C4—3761no—
1792C2×C4—3761no—
1793C2×C4—3761no—
1794C2×C4—1881no—
1795C2×C4—1881no—
1796C2×C4—1882no—
1797C2×C4—1882no—
1798C2×C4—1882no—
1799C2×C4—1882no—
1800C2×C4—1882no—
1801C2×C4—1881no—
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—162no—
1832C22—941no—
1833C22—941no—
1834C22—941no—
1835C22—941no—
1836C22—941no—
1837C22—941no—
1838C22—941no—
1839C22—941no—
1840C22—941no—
1841C22—942no—
1842C22—3764no—
1843C22—3762no—
1844C22—1881no—
1845C22—1881no—
1846C22—1881no—
1847C22—1881no—
1848C22—1881no—
1849C22—7522no—
1850C22—7522no—
1851C22C22×D4×D4711yescharacteristic
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—21no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—941no—
1862C4—941no—
1863C4—941no—
1864C4—941no—
1865C4—941no—
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—3761no—
1880C2—1881no—
1881C2—1881no—
1882C2—1881no—
1883C2—1882no—
1884C2#2025701611yescharacteristic
1885C2#2025816011yescharacteristic
1886C2#2025816111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3267C2
socleC22×C47C23×D4
hypercenter#3267D47
hypocenterC47#61636
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. #20257652C2semidirect
2. #20257027C2semidirect
3. #20255549C2semidirect
4. #20255548C2semidirect
5. #20255426C2semidirect
6. #20255419C2semidirect
7. #20255319C2semidirect
8. #20255311C2semidirect
9. #20255305C2semidirect
10. #20255298C2semidirect
11. #20255101C2semidirect
12. #20255089C2semidirect
13. #20255069C2semidirect
14. #20255066C2semidirect
15. #20254942C2semidirect
16. #20254936C2semidirect
17. #20254907C2semidirect
18. #20254496C2semidirect
19. #20254492C2semidirect
20. #20254280C2semidirect
21. #20254257C2semidirect
22. #20254180C2semidirect
23. #20254177C2semidirect
24. #20253571C2semidirect
25. #20253570C2semidirect
26. #20252662C2semidirect
27. #20252655C2semidirect
28. #20252603C2semidirect
29. #20252602C2semidirect
30. #20252439C2semidirect
31. C47×#3267C2semidirect
33. C2×#41×D47C22semidirect
34. C2×#13094056C22semidirect
35. C2×#13094045C22semidirect
36. C2×#13094044C22semidirect
37. C2×#13094043C22semidirect
38. C2×SD16×D47C22semidirect
39. C22×#10625334C22semidirect
43. #15689844C22semidirect
44. #15689843C22semidirect
45. #15689838C22semidirect
46. #15689837C22semidirect
48. #15689781C22semidirect
49. #15689780C22semidirect
50. #15689776C22semidirect
51. #15689775C22semidirect
56. #15689768C22semidirect
57. #15689767C22semidirect
61. #15689761C22semidirect
62. #15689742C22semidirect
65. #15689738C22semidirect
68. #15689698C22semidirect
74. #15689636C22semidirect
75. #15689633C22semidirect
77. #15689630C22semidirect
80. #15689595C22semidirect
81. #15689514C22semidirect
82. #15689505C22semidirect
83. #15689504C22semidirect
84. #15689484C22semidirect
85. #15689483C22semidirect
86. #15689473C22semidirect
87. #15689472C22semidirect
88. #15689467C22semidirect
89. #15689467C22semidirect
90. #15689465C22semidirect
91. #15689462C22semidirect
92. #15689462C22semidirect
93. #15689462C22semidirect
94. #15689461C22semidirect
95. #15689461C22semidirect
96. #15689449C22semidirect
97. #15689448C22semidirect
98. #15689446C22semidirect
99. #15689445C22semidirect
100. #15689414C22semidirect
101. #15689412C22semidirect
102. #15689403C22semidirect
103. #15689401C22semidirect
104. #15689381C22semidirect
105. #15689368C22semidirect
106. #15689366C22semidirect
107. #15689362C22semidirect
108. #15689362C22semidirect
109. #15689362C22semidirect
110. #15689361C22semidirect
111. #15689358C22semidirect
112. #15689357C22semidirect
113. #15689355C22semidirect
114. #15689352C22semidirect
115. #15689351C22semidirect
116. #15689349C22semidirect
117. #15689349C22semidirect
118. #15689347C22semidirect
119. #15689346C22semidirect
120. #15689340C22semidirect
121. #15689338C22semidirect
122. #15689337C22semidirect
123. #15689336C22semidirect
124. #15689335C22semidirect
125. #15689331C22semidirect
126. #15689330C22semidirect
127. #15689326C22semidirect
128. #15689288C22semidirect
129. #15689287C22semidirect
130. #15689285C22semidirect
131. #15689285C22semidirect
132. #15689284C22semidirect
133. #15689284C22semidirect
134. #15689282C22semidirect
135. #15689282C22semidirect
136. #15689280C22semidirect
137. #15689280C22semidirect
138. #15689277C22semidirect
139. #15689277C22semidirect
140. #15689276C22semidirect
141. #15689275C22semidirect
142. #15689274C22semidirect
143. #15689273C22semidirect
144. #15689272C22semidirect
145. #15689269C22semidirect
146. #15689268C22semidirect
149. #15689267C22semidirect
150. #15689267C22semidirect
151. #15689267C22semidirect
152. #15689266C22semidirect
153. #15689265C22semidirect
154. #15689260C22semidirect
155. #15689260C22semidirect
158. #15689255C22semidirect
159. #15689255C22semidirect
160. #15689235C22semidirect
161. #15689226C22semidirect
162. #15689225C22semidirect
163. SD16×Dic47C22semidirect
164. C4×#10625335C22semidirect
165. C4×#10625334C22semidirect
166. #15689203C22semidirect
167. #15689196C22semidirect
168. #15689192C22semidirect
169. #15689191C22semidirect
170. D4×C47⋊C8C22semidirect
171. #15689188C22semidirect
172. C8×C22⋊D47C22semidirect
173. (C22⋊D47)⋊C8C22semidirect
174. #15689185C22semidirect
175. #15689183C22semidirect
176. #15689129C22semidirect
177. #15689126C22semidirect
178. #15689120C22semidirect
179. #15689119C22semidirect
180. #15689119C22semidirect
181. #15689118C22semidirect
182. #15689118C22semidirect
183. #15689116C22semidirect
186. C2×(C2×D47)⋊C8C22semidirect
187. C22⋊C8×D47C22semidirect
188. C2×AGL(1,ℤ/8)×C47C22semidirect
189. C2×#135×C47C22semidirect
191. C47×#546C22semidirect
192. C47×#497C22semidirect
193. C47×#470C22semidirect
194. C47×#465C22semidirect
195. C47×#463C22semidirect
196. C47×#461C22semidirect
197. C47×#452C22semidirect
198. C47×#452C22semidirect
199. C47×#450C22semidirect
200. C47×#449C22semidirect
201. C47×#442C22semidirect
202. C47×#435C22semidirect
948. #3267D47semidirect
978. C2×AGL(1,ℤ/8)C2×D47semidirect
982. C2×#135C2×D47semidirect
1008. #546C2×D47semidirect
1029. #497C2×D47semidirect
1053. #470C2×D47semidirect
1067. #465C2×D47semidirect
1075. #463C2×D47semidirect
1079. #461C2×D47semidirect
1088. #452C2×D47semidirect
1089. #452C2×D47semidirect
1099. #450C2×D47semidirect
1109. #449C2×D47semidirect
1117. #442C2×D47semidirect
1127. #435C2×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
#202570272
#202555492
#202555482
#202554262
#202554192
#202553192
#202553112
#202553052
#202552982
#202551012
#202550892
#202550692
#202550662
#202549422
#202549362
#202549072
#202544962
#202544922
#202542802
#202542572
#202541802
#202541772
#202535712
#202535702
#202526622
#202526552
#202526032
#202526022
#202524392
C47×#32672
#6163647