Finite Group Databasebeta

← #27102502

Subgroups — #27102502

Order 12032.

2174 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257690C211yesmaximal, characteristic, complemented
2#20257048C211yesmaximal, characteristic, complemented
3#20255549C211yesmaximal, characteristic, complemented
4#20255413C211yesmaximal, characteristic, complemented
5#20255389C211yesmaximal, characteristic, complemented
6#20255381C211yesmaximal, characteristic, complemented
7#20255341C211yesmaximal, characteristic, complemented
8#20255281C211yesmaximal, characteristic, complemented
9#20255242C211yesmaximal, characteristic, complemented
10#20255201C211yesmaximal, characteristic, complemented
11#20255141C211yesmaximal, characteristic, complemented
12#20255091C211yesmaximal, characteristic, complemented
13#20255068C211yesmaximal, characteristic, complemented
14D8×C22⋊D47C211yesmaximal, characteristic, complemented
15#20254927C211yesmaximal, characteristic, complemented
16#20254922C211yesmaximal, characteristic, complemented
17#20254887C211yesmaximal, characteristic, complemented
18#20254477C211yesmaximal, characteristic, complemented
19#20254437C211yesmaximal, characteristic, complemented
20#20254287C211yesmaximal, characteristic, complemented
21#20254235C211yesmaximal, characteristic, complemented
22#20254154C211yesmaximal, characteristic, complemented
23#20254137C211yesmaximal, characteristic, complemented
24#20253647C211yesmaximal, characteristic, complemented
25#20253591C211yesmaximal, characteristic, complemented
26#20252691C211yesmaximal, characteristic, complemented
27#20252651C211yesmaximal, characteristic, complemented
28#20252607C211yesmaximal, characteristic, complemented
29C2×#15689265C211yesmaximal, characteristic, complemented
30#20252439C211yesmaximal, characteristic, complemented
31C47×#3264C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic, complemented
33C22×#10625352C2211yescharacteristic, complemented
34C2×#13094048C2211yescharacteristic, complemented
35C2×#13094045C2211yescharacteristic, complemented
36C2×#13094045C2211yescharacteristic, complemented
37C2×#13094044C2211yescharacteristic, complemented
38C22×#10625335C2211yescharacteristic, complemented
39C2×D8×D47C2211yescharacteristic, complemented
40#15689870—21no—
41#15689861—21no—
42#15689838C2211yescharacteristic, complemented
43#15689825C2211yescharacteristic, complemented
44#15689815C2211yescharacteristic, complemented
45#15689799—21no—
46#15689793C2211yescharacteristic, complemented
47#15689792C2211yescharacteristic, complemented
48#15689791C2211yescharacteristic, complemented
49#15689782C2211yescharacteristic, complemented
50#15689779C2211yescharacteristic
51#15689777C2211yescharacteristic, complemented
52#15689768C2211yescharacteristic, complemented
53#15689767C2211yescharacteristic, complemented
54#15689766C2211yescharacteristic, complemented
55#15689762—21no—
56#15689760—21no—
57#15689760—21no—
58D4×C22⋊D47—21no—
59D4×C22⋊D47C2211yescharacteristic
60D4×C22⋊D47C2211yescharacteristic, complemented
61#15689755—21no—
62#15689742C2211yescharacteristic, complemented
63#15689726—21no—
64#15689724C2211yescharacteristic, complemented
65#15689709—21no—
66#15689702C2211yescharacteristic, complemented
67#15689701C2211yescharacteristic, complemented
68#15689700—21no—
69#15689689C2211yescharacteristic, complemented
70#15689688—21no—
71#15689688—21no—
72#15689686C2211yescharacteristic, complemented
73#15689685—21no—
74#15689636C2211yescharacteristic, complemented
75#15689632C2211yescharacteristic
76#15689629—21no—
77C2×#13093996—21no—
78C2×#13093995C2211yescharacteristic, complemented
79#121×D47C2211yescharacteristic, complemented
80#15689602C2211yescharacteristic, complemented
81#15689511C2211yescharacteristic, complemented
82#15689505C2211yescharacteristic, complemented
83#15689498C2211yescharacteristic, complemented
84#15689486C2211yescharacteristic, complemented
85#15689483C2211yescharacteristic, complemented
86#15689476C2211yescharacteristic, complemented
87#15689469C2211yescharacteristic, complemented
88#15689467C2211yescharacteristic, complemented
89#15689459C2211yescharacteristic, complemented
90#15689457C2211yescharacteristic, complemented
91#15689449C2211yescharacteristic, complemented
92#15689445C2211yescharacteristic, complemented
93#15689445C2211yescharacteristic, complemented
94#15689443C2211yescharacteristic, complemented
95#15689437C2211yescharacteristic, complemented
96#15689435C2211yescharacteristic, complemented
97#15689435C2211yescharacteristic, complemented
98#15689434C2211yescharacteristic, complemented
99#15689434C2211yescharacteristic, complemented
100#15689433C2211yescharacteristic, complemented
101#15689421C2211yescharacteristic, complemented
102#15689419C2211yescharacteristic, complemented
103#15689403C2211yescharacteristic, complemented
104#15689369C2211yescharacteristic, complemented
105#15689368C2211yescharacteristic, complemented
106#15689366C2211yescharacteristic, complemented
107#15689363C2211yescharacteristic, complemented
108#15689359C2211yescharacteristic, complemented
109#15689358C2211yescharacteristic, complemented
110#15689358C2211yescharacteristic, complemented
111#15689357C2211yescharacteristic, complemented
112#15689357C2211yescharacteristic, complemented
113#15689356C2211yescharacteristic, complemented
114#15689356C2211yescharacteristic, complemented
115#15689356C2211yescharacteristic, complemented
116#15689354C2211yescharacteristic, complemented
117#15689350C2211yescharacteristic, complemented
118#15689343C2211yescharacteristic, complemented
119#15689342C2211yescharacteristic, complemented
120#15689339C2211yescharacteristic, complemented
121#15689338C2211yescharacteristic, complemented
122#15689336C2211yescharacteristic, complemented
123#15689322C2211yescharacteristic, complemented
124#15689321C2211yescharacteristic, complemented
125#15689316C2211yescharacteristic, complemented
126#15689316C2211yescharacteristic, complemented
127#15689315C2211yescharacteristic, complemented
128#15689285C2211yescharacteristic, complemented
129#15689282C2211yescharacteristic, complemented
130#15689282C2211yescharacteristic, complemented
131#15689282C2211yescharacteristic, complemented
132#15689278C2211yescharacteristic, complemented
133#15689275C2211yescharacteristic, complemented
134#15689272C2211yescharacteristic, complemented
135#15689272C2211yescharacteristic, complemented
136#15689271C2211yescharacteristic, complemented
137#15689270C2211yescharacteristic, complemented
138#15689269C2211yescharacteristic, complemented
139#15689269C2211yescharacteristic, complemented
140#15689267C2211yescharacteristic, complemented
141#15689266C2211yescharacteristic, complemented
142#15689265C2211yescharacteristic
143#15689265C2211yescharacteristic, complemented
144#15689265C2211yescharacteristic, complemented
145#15689265C2211yescharacteristic, complemented
146#15689265C2211yescharacteristic, complemented
147#15689265C2211yescharacteristic, complemented
148#15689265C2211yescharacteristic, complemented
149#15689265C2211yescharacteristic, complemented
150#15689265C2211yescharacteristic, complemented
151#15689264C2211yescharacteristic, complemented
152#15689258C2211yescharacteristic, complemented
153#15689257C2211yescharacteristic, complemented
154#15689257C2211yescharacteristic, complemented
155#15689257C2211yescharacteristic, complemented
156#15689255C2211yescharacteristic, complemented
157#15689255C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689225C2211yescharacteristic, complemented
161#15689224C2211yescharacteristic, complemented
162#15689220C2211yescharacteristic, complemented
163#15689215C2211yescharacteristic, complemented
164C4×#10625335C2211yescharacteristic, complemented
165D8×Dic47C2211yescharacteristic, complemented
166C4×#10625334C2211yescharacteristic, complemented
167#15689196C2211yescharacteristic, complemented
168#15689192C2211yescharacteristic, complemented
169#15689191C2211yescharacteristic, complemented
170D4×C47⋊C8C2211yescharacteristic, complemented
171#15689188C2211yescharacteristic, complemented
172C8×C22⋊D47C2211yescharacteristic, complemented
173(C22⋊D47)⋊C8C2211yescharacteristic, complemented
174#15689185C2211yescharacteristic, complemented
175#15689183C2211yescharacteristic, complemented
176#15689126C2211yescharacteristic, complemented
177#15689125C2211yescharacteristic, complemented
178#15689116C2211yescharacteristic, complemented
179#15689116C2211yescharacteristic, complemented
180#15689116C2211yescharacteristic, complemented
181C2×#13093949C2211yescharacteristic, complemented
182C2×#13093945C2211yescharacteristic, complemented
183C2×#13093945C2211yescharacteristic, complemented
184#15689091C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
189C22×D8×C47C2211yescharacteristic, complemented
190C47×#546C2211yescharacteristic, complemented
191D42×C47C2211yescharacteristic, complemented
192C47×#496C2211yescharacteristic, complemented
193C47×#469C2211yescharacteristic, complemented
194C47×#465C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#459C2211yescharacteristic, complemented
197C47×#450C2211yescharacteristic, complemented
198C47×#449C2211yescharacteristic, complemented
199C47×#447C2211yescharacteristic, complemented
200C47×#447C2211yescharacteristic, complemented
201C47×#442C2211yescharacteristic, complemented
202C47×#435C2211yescharacteristic, complemented
203#13094069—42no—
204#13094069—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625350C2311yescharacteristic
207C2×#10625350C2311yescharacteristic
208C2×#10625352—21no—
209C2×#10625352—21no—
210C2×#10625352—21no—
211C2×#10625352—21no—
212C2×#10625352—42no—
213C2×#10625352—42no—
214C2×#10625352C2311yescharacteristic
215C2×#10625352C2311yescharacteristic
216C2×#10625352C2311yescharacteristic
217C2×#10625352C2311yescharacteristic
218C2×#10625352C2311yescharacteristic
219C22×Dic94C2311yescharacteristic
220C22×C22⋊D47—21no—
221C22×C22⋊D47—21no—
222C22×C22⋊D47—21no—
223C22×C22⋊D47—21no—
224C22×C22⋊D47—21no—
225C22×C22⋊D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47—21no—
228C2×D4×D47C2311yescharacteristic
229C2×D4×D47C2311yescharacteristic
230C2×D4×D47C2311yescharacteristic
231C23×Dic47—21no—
232C22×C4×D47C2311yescharacteristic
233#13094048—42no—
234#13094045—42no—
235#13094045—42no—
236#13094044—42no—
237C2×#10625337C2311yescharacteristic
238C2×#10625337C2311yescharacteristic
239C2×#10625325C2311yescharacteristic
240C2×#10625325C2311yescharacteristic
241C2×#10625335—42no—
242C2×#10625335C2311yescharacteristic
243C2×#10625335C2311yescharacteristic
244C2×#10625335C2311yescharacteristic
245C2×#10625335C2311yescharacteristic
246C2×#10625336C2311yescharacteristic
247C2×D376C2311yescharacteristic
248C2×#10625334C2311yescharacteristic
249C2×#10625334C2311yescharacteristic
250C2×#10625334C2311yescharacteristic
251C2×#10625334C2311yescharacteristic
252C2×#10625334C2311yescharacteristic
253D8×D47—42no—
254C2×#10625324C2311yescharacteristic
255C22×C47⋊C8C2311yescharacteristic
256C22×C47⋊C8C2311yescharacteristic
257C2×C8×D47C2311yescharacteristic
258C2×C8×D47C2311yescharacteristic
259C2×C8×D47C2311yescharacteristic
260#13094024C2311yescharacteristic
261#13094020—21no—
262#13094020—21no—
263#13094020—21no—
264#13094020—21no—
265#13094020C2311yescharacteristic
266#13094020C2311yescharacteristic
267#13094019—21no—
268#13094017—21no—
269#13094017—21no—
270#13094015—21no—
271#13094015C2311yescharacteristic
272#13094012C2311yescharacteristic
273#13094011C2311yescharacteristic
274#13094010—21no—
275#13094010—21no—
276#13094010—21no—
277#13094010—21no—
278#13094010—21no—
279#13094010—21no—
280#13094009—21no—
281#13094009D411yescharacteristic
282#13094008—21no—
283#13094008—21no—
284#13094008—21no—
285#13094008—21no—
286#13094008—21no—
287#13094008—21no—
288#13094007—21no—
289#13094006—21no—
290#13094006—21no—
291#13094006D411yescharacteristic
292#13094005—21no—
293#13094004—21no—
294#13094004C2311yescharacteristic
295#13094003—21no—
296#13094003C2311yescharacteristic
297#13094002—21no—
298#13094002D411yescharacteristic
299#13094001—21no—
300#13094001—21no—
301#13094001—21no—
302#13094001D411yescharacteristic
303#13094000C2311yescharacteristic
304#13094000C2311yescharacteristic
305#13093999C2311yescharacteristic
306#13093999C2311yescharacteristic
307#13093998—21no—
308#13093998—21no—
309#13093998—21no—
310#13093998—21no—
311#13093998—21no—
312#13093998C2311yescharacteristic
313#13093998C2311yescharacteristic
314#13093998C2311yescharacteristic
315#13093997—21no—
316#13093997—21no—
317#13093997—21no—
318#13093997—21no—
319#13093997—21no—
320#13093997D411yescharacteristic
321#13093996—21no—
322#13093996—21no—
323#13093996—21no—
324#13093996—21no—
325#13093996—21no—
326#13093996—21no—
327#13093996—21no—
328#13093996—21no—
329#13093996—21no—
330#13093996—21no—
331#13093996—21no—
332#13093996—21no—
333#13093996—21no—
334#13093996—21no—
335#13093996—21no—
336#13093996D411yescharacteristic
337#13093995—21no—
338#13093995—21no—
339#13093995—21no—
340#13093995—21no—
341#13093995C2311yescharacteristic
342#13093995C2311yescharacteristic
343#13093995C2311yescharacteristic
344#13093995C2311yescharacteristic
345#13093995C2311yescharacteristic
346#13093995C2311yescharacteristic
347#13093995C2311yescharacteristic
348#13093994—21no—
349#13093994—21no—
350#13093994—21no—
351#13093994—21no—
352#13093994D411yescharacteristic
353#13093993—21no—
354#13093993—21no—
355#13093993—21no—
356#13093992—21no—
357#13093992—21no—
358#13093992—21no—
359#13093992—21no—
360#13093992—21no—
361#13093992D411yescharacteristic
362Q8×Dic47C2311yescharacteristic
363C4×Dic94C2311yescharacteristic
364#13093989C2311yescharacteristic
365C4×D188C2311yescharacteristic
366C4×D188C2311yescharacteristic
367D4×Dic47—21no—
368D4×Dic47—21no—
369D4×Dic47—21no—
370D4×Dic47C2311yescharacteristic
371D4×Dic47C2311yescharacteristic
372#13093986—21no—
373C4×C22⋊D47—21no—
374C4×C22⋊D47—21no—
375C4×C22⋊D47C2311yescharacteristic
376C4×C22⋊D47C2311yescharacteristic
377(C22⋊D47)⋊C4—21no—
378(C22⋊D47)⋊C4—21no—
379(C22⋊D47)⋊C4—21no—
380(C22⋊D47)⋊C4—21no—
381#13093983—21no—
382#13093982C2311yescharacteristic
383#13093982C2311yescharacteristic
384#13093981C2311yescharacteristic
385#13093980—21no—
386#13093980—21no—
387C2×C4⋊Dic47C2311yescharacteristic
388C2×C4⋊Dic47C2311yescharacteristic
389C2×Dic47⋊C4—21no—
390C4⋊C4×D47C2311yescharacteristic
391C2×C22⋊Dic47—21no—
392C2×C22⋊Dic47—21no—
393C2×(C2×D47)⋊C4—21no—
394C22⋊C4×D47—21no—
395C22⋊C4×D47—21no—
396#13093958C2311yescharacteristic
397#13093958C2311yescharacteristic
398#13093958C2311yescharacteristic
399#13093957C2311yescharacteristic
400#13093957C2311yescharacteristic
401#13093957C2311yescharacteristic
402#13093955C2311yescharacteristic
403C4⋊(C47⋊C8)C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093947C2311yescharacteristic
414#13093947C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093945C2311yescharacteristic
420#13093945C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
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
446C22×D4×C47—21no—
447C22×D4×C47C2311yescharacteristic
448C22×D4×C47C2311yescharacteristic
449C22×D4×C47C2311yescharacteristic
450AGL(1,ℤ/8)×C47—42no—
451C2×SD16×C47C2311yescharacteristic
452C2×SD16×C47C2311yescharacteristic
453C2×SD16×C47C2311yescharacteristic
454C2×D8×C47—42no—
455C2×D8×C47C2311yescharacteristic
456C2×D8×C47C2311yescharacteristic
457C2×D8×C47C2311yescharacteristic
458C2×D8×C47C2311yescharacteristic
459C2×D8×C47C2311yescharacteristic
460C2×D8×C47C2311yescharacteristic
461C2×M16×C47C2311yescharacteristic
462C22×C8×C47C2311yescharacteristic
463#127×C47C2311yescharacteristic
464#124×C47C2311yescharacteristic
465#123×C47—21no—
466C22⋊Q8×C47C2311yescharacteristic
467#121×C47—21no—
468#121×C47—21no—
469#121×C47C2311yescharacteristic
470#121×C47C2311yescharacteristic
471#121×C47C2311yescharacteristic
472#120×C47—21no—
473#120×C47—21no—
474#120×C47—21no—
475C4×D4×C47C2311yescharacteristic
476C4×D4×C47C2311yescharacteristic
477C4×D4×C47C2311yescharacteristic
478C2×C22⋊C4×C47—21no—
479#106×C47C2311yescharacteristic
480C4⋊C8×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486#102×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489#97×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47—21no—
492C24×C47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47C2×D411yescharacteristic
497#41×C47—41no—
498#41×C47—41no—
499C2×Q8×C47C2411yescharacteristic
500C2×D4×C47—22no—
501C2×D4×C47—22no—
502C2×D4×C47—21no—
503C2×D4×C47—21no—
504C2×D4×C47—21no—
505C2×D4×C47—21no—
506C2×D4×C47—21no—
507C2×D4×C47—21no—
508C2×D4×C47—21no—
509C2×D4×C47—21no—
510C2×D4×C47—21no—
511C2×D4×C47—41no—
512C2×D4×C47—41no—
513C2×D4×C47—41no—
514C2×D4×C47—41no—
515C2×D4×C47—82no—
516C2×D4×C47C2×D411yescharacteristic
517C2×D4×C47C2411yescharacteristic
518C2×D4×C47C2411yescharacteristic
519C2×D4×C47C2411yescharacteristic
520C2×D4×C47C2411yescharacteristic
521C2×D4×C47C2411yescharacteristic
522C22×C4×C47—21no—
523C22×C4×C47—21no—
524C22×C4×C47—21no—
525C22×C4×C47C2411yescharacteristic
526C22×C4×C47C2411yescharacteristic
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531C2×C22⋊D47—21no—
532C2×C22⋊D47—21no—
533C2×C22⋊D47—21no—
534C2×C22⋊D47—21no—
535C2×C22⋊D47—21no—
536C2×C22⋊D47—21no—
537C2×C22⋊D47—21no—
538C2×C22⋊D47—21no—
539C2×C22⋊D47—21no—
540C2×C22⋊D47—21no—
541C2×C22⋊D47—21no—
542C2×C22⋊D47—21no—
543C2×C22⋊D47—21no—
544C2×C22⋊D47—21no—
545C2×C22⋊D47—21no—
546C2×C22⋊D47—21no—
547C2×C22⋊D47—21no—
548C2×C22⋊D47—21no—
549C2×C22⋊D47—21no—
550C2×C22⋊D47—44no—
551C2×C22⋊D47—44no—
552C2×C22⋊D47—44no—
553C2×C22⋊D47—82no—
554C2×C22⋊D47—82no—
555C2×C22⋊D47—82no—
556C2×C22⋊D47C2×D411yescharacteristic
557C2×C22⋊D47C2×D411yescharacteristic
558C2×C22⋊D47C2×D411yescharacteristic
559C2×C22⋊D47C2×D411yescharacteristic
560C22×Dic47—21no—
561C22×Dic47—21no—
562C22×Dic47—21no—
563C22×Dic47—21no—
564C22×Dic47—21no—
565C22×Dic47—21no—
566C22×Dic47—21no—
567C22×Dic47—21no—
568C22×Dic47—21no—
569C22×Dic47—21no—
570C22×Dic47—44no—
571C22×Dic47C2×D411yescharacteristic
572#10625354—41no—
573#10625354—41no—
574#10625352—22no—
575#10625352—22no—
576#10625352—22no—
577#10625352—22no—
578#10625352—22no—
579#10625352—41no—
580#10625352—41no—
581#10625352—41no—
582#10625352—41no—
583#10625352—41no—
584#10625352—44no—
585#10625352—44no—
586#10625352—44no—
587#10625352—82no—
588D4×D47—22no—
589D4×D47—41no—
590D4×D47—41no—
591D4×D47—41no—
592D4×D47—41no—
593D4×D47—41no—
594D4×D47—44no—
595D4×D47—82no—
596#10625350—22no—
597#10625350—41no—
598#10625350—41no—
599#10625350—41no—
600C2×D188—21no—
601C2×D188—21no—
602C2×D188—21no—
603C2×D188C2×D411yescharacteristic
604C2×D188C2×D411yescharacteristic
605C2×D188C2411yescharacteristic
606C2×D188C2411yescharacteristic
607C2×C4×D47—21no—
608C2×C4×D47—21no—
609C2×C4×D47—21no—
610C2×C4×D47—21no—
611C2×C4×D47—41no—
612C2×C4×D47—41no—
613C2×C4×D47C2×D411yescharacteristic
614C2×C4×D47C2×D411yescharacteristic
615C2×C4×D47C2411yescharacteristic
616C2×C4×D47C2411yescharacteristic
617C2×C4×D47C2411yescharacteristic
618C2×Dic94—22no—
619C2×Dic94—21no—
620C2×Dic94—21no—
621C2×Dic94—41no—
622C2×Dic94C2×D411yescharacteristic
623C2×Dic94C2411yescharacteristic
624C2×Dic94C2411yescharacteristic
625SD16×C47—22no—
626SD16×C47—41no—
627SD16×C47—41no—
628D8×C47—22no—
629D8×C47—22no—
630D8×C47—41no—
631D8×C47—41no—
632D8×C47—41no—
633D8×C47—41no—
634M16×C47—41no—
635C2×C8×C47—41no—
636C2×C8×C47C2411yescharacteristic
637C2×C8×C47C2411yescharacteristic
638C2×C8×C47C2411yescharacteristic
639C2×C8×C47C2411yescharacteristic
640C4⋊C4×C47—21no—
641C4⋊C4×C47C2×D411yescharacteristic
642C4⋊C4×C47C2411yescharacteristic
643C4⋊C4×C47C2411yescharacteristic
644C22⋊C4×C47—21no—
645C22⋊C4×C47—21no—
646C22⋊C4×C47—21no—
647C22⋊C4×C47—21no—
648C22⋊C4×C47—21no—
649C22⋊C4×C47—21no—
650C22⋊C4×C47—21no—
651C22⋊C4×C47—21no—
652C22⋊C4×C47C2×D411yescharacteristic
653C22⋊C4×C47C2×D411yescharacteristic
654C42×C47C2411yescharacteristic
655C22⋊Dic47—21no—
656C22⋊Dic47—21no—
657C22⋊Dic47—21no—
658C22⋊Dic47—21no—
659C22⋊Dic47—21no—
660C22⋊Dic47—21no—
661C22⋊Dic47—21no—
662C22⋊Dic47—21no—
663C22⋊Dic47—21no—
664C22⋊Dic47—21no—
665C22⋊Dic47—21no—
666C22⋊Dic47—21no—
667C22⋊Dic47C2×D411yescharacteristic
668C22⋊Dic47C2×D411yescharacteristic
669#10625337—22no—
670#10625337—41no—
671#10625336—41no—
672#10625335—22no—
673#10625335—22no—
674#10625335—41no—
675#10625335—41no—
676#10625334—22no—
677#10625334—41no—
678#10625334—41no—
679#10625334—41no—
680#10625334—41no—
681(C2×D47)⋊C4—21no—
682(C2×D47)⋊C4—21no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4—21no—
689(C2×D47)⋊C4—21no—
690(C2×D47)⋊C4—21no—
691(C2×D47)⋊C4—21no—
692(C2×D47)⋊C4—21no—
693(C2×D47)⋊C4—21no—
694(C2×D47)⋊C4C2×D411yescharacteristic
695(C2×D47)⋊C4C2×D411yescharacteristic
696(C2×D47)⋊C4C2×D411yescharacteristic
697(C2×D47)⋊C4C2×D411yescharacteristic
698(C2×D47)⋊C4C2×D411yescharacteristic
699(C2×D47)⋊C4C2×D411yescharacteristic
700C4⋊Dic47—21no—
701C4⋊Dic47—21no—
702C4⋊Dic47—21no—
703C4⋊Dic47—21no—
704C4⋊Dic47—21no—
705C4⋊Dic47—21no—
706C4⋊Dic47C2×D411yescharacteristic
707C4⋊Dic47C2411yescharacteristic
708C4⋊Dic47C2411yescharacteristic
709C4⋊Dic47C2411yescharacteristic
710C4⋊Dic47C2411yescharacteristic
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714Dic47⋊C4—21no—
715Dic47⋊C4—21no—
716Dic47⋊C4—21no—
717Dic47⋊C4—21no—
718Dic47⋊C4C2×D411yescharacteristic
719Dic47⋊C4C2×D411yescharacteristic
720Dic47⋊C4C2×D411yescharacteristic
721Dic47⋊C4C2×D411yescharacteristic
722C4×Dic47—21no—
723C4×Dic47—21no—
724C4×Dic47—21no—
725C4×Dic47—21no—
726C4×Dic47—21no—
727C4×Dic47C2411yescharacteristic
728C2×C47⋊C8—41no—
729C2×C47⋊C8—41no—
730C2×C47⋊C8C2411yescharacteristic
731C2×C47⋊C8C2411yescharacteristic
732C2×C47⋊C8C2411yescharacteristic
733C2×C47⋊C8C2411yescharacteristic
734D376—41no—
735#10625325—22no—
736#10625325—41no—
737#10625324—41no—
738C8×D47—41no—
739C8×D47—41no—
740C8×D47—41no—
741C23×C47—21no—
742C23×C47—21no—
743C23×C47—21no—
744C23×C47—21no—
745C23×C47—21no—
746C23×C47—42no—
747C23×C47—42no—
748C23×C47—42no—
749C23×C47—42no—
750C23×C47—81no—
751C23×C47—81no—
752C23×C47—81no—
753C23×C47—81no—
754C23×C47—81no—
755C23×C47C22×D411yescharacteristic
756C23×C47C22×D411yescharacteristic
757C22×D47—22no—
758C22×D47—21no—
759C22×D47—21no—
760C22×D47—41no—
761C22×D47—41no—
762C22×D47—42no—
763C22×D47—42no—
764C22×D47—81no—
765C22×D47—81no—
766C22×D47—81no—
767C22×D47—81no—
768C22×D47—81no—
769C22×D47—81no—
770C22×D47—81no—
771C22×D47C22×D411yescharacteristic
772C22×D47C22×D411yescharacteristic
773C22×D47C22×D411yescharacteristic
774Q8×C47—21no—
775Q8×C47—21no—
776D4×C47—22no—
777D4×C47—21no—
778D4×C47—21no—
779D4×C47—21no—
780D4×C47—21no—
781D4×C47—21no—
782D4×C47—21no—
783D4×C47—21no—
784D4×C47—21no—
785D4×C47—21no—
786D4×C47—42no—
787D4×C47—42no—
788D4×C47—42no—
789D4×C47—81no—
790D4×C47—81no—
791D4×C47—81no—
792D4×C47—81no—
793D4×C47—81no—
794D4×C47—81no—
795D4×C47H(5,𝔽2)12yes—
796C2×C4×C47—21no—
797C2×C4×C47—21no—
798C2×C4×C47—21no—
799C2×C4×C47—21no—
800C2×C4×C47—21no—
801C2×C4×C47—21no—
802C2×C4×C47—21no—
803C2×C4×C47—81no—
804C2×C4×C47—81no—
805C2×C4×C47—81no—
806C2×C4×C47C22×D411yescharacteristic
807C2×C4×C47C22×D411yescharacteristic
808C2×C4×C47C22×D411yescharacteristic
809C2×C4×C47C22×D411yescharacteristic
810C2×C4×C47C2511yescharacteristic
811C22⋊D47—24no—
812C22⋊D47—22no—
813C22⋊D47—41no—
814C22⋊D47—41no—
815C22⋊D47—41no—
816C22⋊D47—42no—
817C22⋊D47—42no—
818C22⋊D47—42no—
819C22⋊D47—42no—
820C22⋊D47—42no—
821C22⋊D47—42no—
822C22⋊D47—42no—
823C22⋊D47—42no—
824C22⋊D47—42no—
825C22⋊D47—81no—
826C22⋊D47—81no—
827C22⋊D47—81no—
828C22⋊D47—81no—
829C22⋊D47—81no—
830C22⋊D47—81no—
831C22⋊D47—81no—
832C22⋊D47—81no—
833C22⋊D47—81no—
834C22⋊D47—81no—
835C22⋊D47—81no—
836C22⋊D47—81no—
837C22⋊D47—81no—
838C2×Dic47—24no—
839C2×Dic47—21no—
840C2×Dic47—21no—
841C2×Dic47—21no—
842C2×Dic47—21no—
843C2×Dic47—21no—
844C2×Dic47—21no—
845C2×Dic47—41no—
846C2×Dic47—42no—
847C2×Dic47—42no—
848C2×Dic47—42no—
849C2×Dic47—42no—
850C2×Dic47—42no—
851C2×Dic47—42no—
852C2×Dic47—81no—
853C2×Dic47—81no—
854C2×Dic47—81no—
855C2×Dic47C22×D411yescharacteristic
856C2×Dic47C22×D411yescharacteristic
857C2×Dic47C22×D411yescharacteristic
858C2×Dic47C22×D411yescharacteristic
859C2×Dic47C22×D411yescharacteristic
860D188—21no—
861D188—21no—
862D188—21no—
863D188—21no—
864D188—41no—
865D188—41no—
866D188—81no—
867D188—81no—
868D188—81no—
869C4×D47—21no—
870C4×D47—21no—
871C4×D47—21no—
872C4×D47—21no—
873C4×D47—21no—
874C4×D47—21no—
875C4×D47—41no—
876C4×D47—41no—
877C4×D47—42no—
878C4×D47—81no—
879C4×D47—81no—
880C4×D47—81no—
881Dic94—21no—
882Dic94—21no—
883Dic94—21no—
884Dic94—41no—
885Dic94—42no—
886Dic94—81no—
887Dic94H(5,𝔽2)12yes—
888C8×C47—21no—
889C8×C47—21no—
890C8×C47—21no—
891C8×C47—21no—
892C47⋊C8—21no—
893C47⋊C8—21no—
894C47⋊C8—21no—
895C47⋊C8—21no—
896#61639—471nomaximal, Sylow
897C22×C47—21no—
898C22×C47—21no—
899C22×C47—21no—
900C22×C47—22no—
901C22×C47—21no—
902C22×C47—21no—
903C22×C47—41no—
904C22×C47—41no—
905C22×C47—41no—
906C22×C47—41no—
907C22×C47—41no—
908C22×C47—41no—
909C22×C47—41no—
910C22×C47—41no—
911C22×C47—41no—
912C22×C47—41no—
913C22×C47—41no—
914C22×C47—41no—
915C22×C47—41no—
916C22×C47—41no—
917C22×C47—84no—
918C22×C47—162no—
919C22×C47—162no—
920C22×C47#57612yes—
921C22×C47C23×D411yescharacteristic
922C2×D47—21no—
923C2×D47—21no—
924C2×D47—21no—
925C2×D47—21no—
926C2×D47—21no—
927C2×D47—21no—
928C2×D47—21no—
929C2×D47—21no—
930C2×D47—21no—
931C2×D47—41no—
932C2×D47—41no—
933C2×D47—41no—
934C2×D47—41no—
935C2×D47—41no—
936C2×D47—41no—
937C2×D47—82no—
938C2×D47—162no—
939C2×D47—162no—
940C2×D47—162no—
941C4×C47—21no—
942C4×C47—21no—
943C4×C47—21no—
944C4×C47—21no—
945C4×C47—41no—
946C4×C47—41no—
947C4×C47—41no—
948C4×C47C2×H(5,𝔽2)11yescharacteristic
949C4×C47C2×H(5,𝔽2)11yescharacteristic
950Dic47—21no—
951Dic47—22no—
952Dic47—21no—
953Dic47—21no—
954Dic47—21no—
955Dic47—21no—
956Dic47—41no—
957Dic47—41no—
958Dic47—41no—
959Dic47—41no—
960Dic47—41no—
961#3542—471no—
962#3488—471no—
963#3319—471no—
964#3310—471no—
965#3309—471no—
966#3308—471no—
967#3305—471no—
968#3300—471no—
969#3297—471no—
970#3294—471no—
971#3287—471no—
972#3282—471no—
973#3280—471no—
974D4×D8—471no—
975#3268—471no—
976#3268—471no—
977#3265—471no—
978#3264D4711yescharacteristic, complemented
979#3224—471no—
980#3220—471no—
981#3203—471no—
982#3198—471no—
983#3188—471no—
984#3186—471no—
985#3124—471no—
986#3119—471no—
987#3012—471no—
988#3008—471no—
989#3002—471no—
990C2×#449—471no—
991#2977—471no—
992C2×C47—22no—
993C2×C47—42no—
994C2×C47—41no—
995C2×C47—81no—
996C2×C47—81no—
997C2×C47—81no—
998C2×C47—81no—
999C2×C47#348411yescharacteristic
1000C2×C47C2×#57611yescharacteristic
1001C2×C47#358411yescharacteristic
1002D47—41no—
1003D47—41no—
1004D47—41no—
1005D47—81no—
1006D47—81no—
1007C2×H(5,𝔽2)—471no—
1008C22×#41—471no—
1009C2×AGL(1,ℤ/8)—471no—
1010C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
1011C2×#135—471no—
1012C2×#135—471no—
1013C2×#135—471no—
1014C22×SD16—471no—
1015C22×D8—471no—
1016C22×D8C2×D4711yescharacteristic, complemented
1017#562—941no—
1018#560—941no—
1019#555—471no—
1020#553—471no—
1021#552—471no—
1022#551—941no—
1023#550—471no—
1024#550—471no—
1025#550—471no—
1026#548—471no—
1027#548—471no—
1028#547—471no—
1029#546—471no—
1030#546—471no—
1031#546—471no—
1032#546—941no—
1033#546—941no—
1034#546—941no—
1035#546C2×D4711yescharacteristic, complemented
1036D42—471no—
1037D42—471no—
1038D42—941no—
1039D42—941no—
1040D42C2×D4711yescharacteristic, complemented
1041#542—471no—
1042#540—471no—
1043#540—941no—
1044#538—941no—
1045#537—471no—
1046#537—471no—
1047#537—941no—
1048#535—471no—
1049#535—471no—
1050#535—941no—
1051#535—941no—
1052#534—941no—
1053#525—471no—
1054#525—471no—
1055#525—941no—
1056C2×#121—471no—
1057C2×#121—471no—
1058C2×#121—941no—
1059#520—471no—
1060#496—471no—
1061#496C2×D4711yescharacteristic, complemented
1062#495—471no—
1063#493—471no—
1064#490—471no—
1065#489—471no—
1066#488—471no—
1067#486—471no—
1068#485—471no—
1069#484—471no—
1070#484—471no—
1071#482—471no—
1072#482—471no—
1073#482—471no—
1074#481—471no—
1075#480—471no—
1076#480—471no—
1077#480—471no—
1078#480—471no—
1079#480—471no—
1080#479—471no—
1081#478—471no—
1082#477—471no—
1083#474—471no—
1084#469C2×D4711yescharacteristic, complemented
1085#468—471no—
1086#468—471no—
1087#468—471no—
1088#467—471no—
1089#466—471no—
1090#466—471no—
1091#466—471no—
1092#466—471no—
1093#466—471no—
1094#466—471no—
1095#466—471no—
1096#466—471no—
1097#465—471no—
1098#465—471no—
1099#465C2×D4711yescharacteristic, complemented
1100#464—471no—
1101#464—471no—
1102#463—471no—
1103#463—471no—
1104#463—471no—
1105#463C2×D4711yescharacteristic, complemented
1106#460—471no—
1107#460—471no—
1108#459—471no—
1109#459—471no—
1110#459—471no—
1111#459C2×D4711yescharacteristic, complemented
1112#452—471no—
1113#452—471no—
1114#452—471no—
1115#452—471no—
1116#451—471no—
1117#450—471no—
1118#450—471no—
1119#450—471no—
1120#450C2×D4711yescharacteristic, complemented
1121#449—471no—
1122#449—471no—
1123#449—471no—
1124#449—471no—
1125#449—471no—
1126#449—471no—
1127#449—471no—
1128#449—471no—
1129#449—471no—
1130#449—471no—
1131#449—471no—
1132#449—471no—
1133#449—471no—
1134#449—471no—
1135#449—471no—
1136#449C2×D4711yescharacteristic, complemented
1137#448—471no—
1138#447—471no—
1139#447—471no—
1140#447—471no—
1141#447—471no—
1142#447—471no—
1143#447—471no—
1144#447—471no—
1145#447—471no—
1146#447C2×D4711yescharacteristic, complemented
1147#447C2×D4711yescharacteristic, complemented
1148#442C2×D4711yescharacteristic, complemented
1149#440—471no—
1150#440—471no—
1151#440—471no—
1152C4×Q16—471no—
1153C4×SD16—471no—
1154C4×D8—471no—
1155C4×D8—471no—
1156#435—471no—
1157#435—471no—
1158#435—471no—
1159#435C2×D4711yescharacteristic, complemented
1160C8×D4—471no—
1161C8×D4—471no—
1162C8×D4—471no—
1163C8×D4—471no—
1164#433—471no—
1165#433—471no—
1166#418—471no—
1167#417—471no—
1168#416—471no—
1169#416—471no—
1170#416—471no—
1171C2×#103—471no—
1172C2×#102—471no—
1173C2×#102—471no—
1174#408—471no—
1175#408—471no—
1176C2×C22⋊C8—471no—
1177C2×C22⋊C8—471no—
1178C47#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—1882no—
1180H(5,𝔽2)—1882no—
1181C2×#41—471no—
1182C2×#41—471no—
1183C2×#41—471no—
1184C2×#41—471no—
1185C2×#41—471no—
1186C2×#41—471no—
1187C2×#41—471no—
1188C2×#41—471no—
1189C2×#41—941no—
1190C2×#41—941no—
1191C2×#41—941no—
1192C2×#41—941no—
1193C2×#41—1882no—
1194C2×#41—1882no—
1195C2×#41C22×D4711yescharacteristic
1196C22×Q8—471no—
1197C22×D4—21no—
1198C22×D4—471no—
1199C22×D4—471no—
1200C22×D4—471no—
1201C22×D4—941no—
1202C22×D4—941no—
1203C22×D4—941no—
1204C22×D4—941no—
1205C22×D4—941no—
1206C22×D4—941no—
1207C22×D4—941no—
1208C22×D4—941no—
1209C22×D4C22×D4711yescharacteristic
1210C22×D4C22×D4711yescharacteristic
1211C22×D4C22×D4711yescharacteristic
1212C23×C4—471no—
1213C23×C4—941no—
1214AGL(1,ℤ/8)—42no—
1215AGL(1,ℤ/8)—1882no—
1216#135—1882no—
1217#135—1882no—
1218#135—1882no—
1219C2×Q16—471no—
1220C2×Q16—471no—
1221C2×SD16—471no—
1222C2×SD16—471no—
1223C2×SD16—471no—
1224C2×SD16—471no—
1225C2×SD16—471no—
1226C2×SD16—471no—
1227C2×SD16—471no—
1228C2×SD16—1882no—
1229C2×SD16C22×D4711yescharacteristic
1230C2×SD16C22×D4711yescharacteristic
1231C2×SD16C22×D4711yescharacteristic
1232C2×D8—42no—
1233C2×D8—471no—
1234C2×D8—471no—
1235C2×D8—471no—
1236C2×D8—471no—
1237C2×D8—471no—
1238C2×D8—471no—
1239C2×D8—1882no—
1240C2×D8C22×D4711yescharacteristic
1241C2×D8C22×D4711yescharacteristic
1242C2×D8C22×D4711yescharacteristic
1243C2×D8C22×D4711yescharacteristic
1244C2×D8C22×D4711yescharacteristic
1245C2×D8C22×D4711yescharacteristic
1246C2×M16—471no—
1247C2×M16C22×D4711yescharacteristic
1248C22×C8—471no—
1249C22×C8—471no—
1250C22×C8—471no—
1251C22×C8—471no—
1252C22×C8—471no—
1253C22×C8C22×D4711yescharacteristic
1254C4⋊Q8—471no—
1255#127—471no—
1256#127—471no—
1257#127—941no—
1258#127—941no—
1259#127—941no—
1260#127—941no—
1261#127C22×D4711yescharacteristic
1262#126—941no—
1263#126—941no—
1264#126—941no—
1265#125—471no—
1266#125—941no—
1267#124—471no—
1268#124—471no—
1269#124—941no—
1270#124—941no—
1271#124—941no—
1272#124—941no—
1273#124—941no—
1274#124—941no—
1275#124C22×D4711yescharacteristic
1276#123—21no—
1277#123—471no—
1278#123—471no—
1279#123—941no—
1280#123—941no—
1281#123—941no—
1282#123—941no—
1283#123—941no—
1284#123—941no—
1285#123—941no—
1286#123—941no—
1287#123—941no—
1288#123—941no—
1289#123—941no—
1290C22⋊Q8—471no—
1291C22⋊Q8—471no—
1292C22⋊Q8—471no—
1293C22⋊Q8—471no—
1294C22⋊Q8—471no—
1295C22⋊Q8—471no—
1296C22⋊Q8—941no—
1297C22⋊Q8—941no—
1298C22⋊Q8—941no—
1299C22⋊Q8—941no—
1300C22⋊Q8—941no—
1301C22⋊Q8—941no—
1302C22⋊Q8C22×D4711yescharacteristic
1303#121—21no—
1304#121—21no—
1305#121—471no—
1306#121—471no—
1307#121—471no—
1308#121—471no—
1309#121—471no—
1310#121—471no—
1311#121—471no—
1312#121—471no—
1313#121—471no—
1314#121—471no—
1315#121—471no—
1316#121—471no—
1317#121—471no—
1318#121—471no—
1319#121—941no—
1320#121—941no—
1321#121—941no—
1322#121—941no—
1323#121—941no—
1324#121—941no—
1325#121—941no—
1326#121—941no—
1327#121—941no—
1328#121—941no—
1329#121—941no—
1330#121—941no—
1331#121—941no—
1332#121—941no—
1333#121—941no—
1334#121—941no—
1335#121—941no—
1336#121—941no—
1337#121—941no—
1338#121—941no—
1339#121—941no—
1340#121—941no—
1341#121—941no—
1342#121—941no—
1343#121—941no—
1344#121—941no—
1345#121—941no—
1346#121—941no—
1347#121—941no—
1348#121C22×D4711yescharacteristic
1349#121C22×D4711yescharacteristic
1350#121C22×D4711yescharacteristic
1351#120—21no—
1352#120—21no—
1353#120—21no—
1354#120—471no—
1355#120—471no—
1356#120—941no—
1357#120—941no—
1358#120—941no—
1359#120—941no—
1360#120—941no—
1361#120—941no—
1362#120—941no—
1363#120—941no—
1364#120—941no—
1365#120—941no—
1366#120—941no—
1367#120—941no—
1368C4×Q8—471no—
1369C4×Q8—471no—
1370C4×Q8—471no—
1371C4×D4—471no—
1372C4×D4—471no—
1373C4×D4—471no—
1374C4×D4—471no—
1375C4×D4—471no—
1376C4×D4—471no—
1377C4×D4—941no—
1378C4×D4—941no—
1379C4×D4—941no—
1380C4×D4—941no—
1381C4×D4—941no—
1382C4×D4—941no—
1383C4×D4—941no—
1384C4×D4—941no—
1385C4×D4—941no—
1386C4×D4—941no—
1387C4×D4C22×D4711yescharacteristic
1388C4×D4C22×D4711yescharacteristic
1389C4×D4C22×D4711yescharacteristic
1390#117—471no—
1391#117—471no—
1392#117—471no—
1393#117—941no—
1394#117—941no—
1395#117—941no—
1396C2×C4⋊C4—471no—
1397C2×C4⋊C4—471no—
1398C2×C4⋊C4—471no—
1399C2×C4⋊C4—941no—
1400C2×C22⋊C4—21no—
1401C2×C22⋊C4—941no—
1402C2×C22⋊C4—941no—
1403C2×C22⋊C4—941no—
1404C2×C22⋊C4—941no—
1405C2×C22⋊C4—941no—
1406#107—471no—
1407#107—471no—
1408#107—471no—
1409#107—471no—
1410#107—471no—
1411#107—471no—
1412#106—471no—
1413#106C22×D4711yescharacteristic
1414C4⋊C8—471no—
1415C4⋊C8—471no—
1416C4⋊C8—471no—
1417C4⋊C8C22×D4711yescharacteristic
1418#103—471no—
1419#103—471no—
1420#103—471no—
1421#103—471no—
1422#103—471no—
1423#103—471no—
1424#103—471no—
1425#103—471no—
1426#103—471no—
1427#103C22×D4711yescharacteristic
1428#102—471no—
1429#102—471no—
1430#102—471no—
1431#102—471no—
1432#102—471no—
1433#102—471no—
1434#102—471no—
1435#102—471no—
1436#102—471no—
1437#102—471no—
1438#102—471no—
1439#102—471no—
1440#102—471no—
1441#102—471no—
1442#102—471no—
1443#102—471no—
1444#102—471no—
1445#102C22×D4711yescharacteristic
1446#102C22×D4711yescharacteristic
1447#102C22×D4711yescharacteristic
1448#102C22×D4711yescharacteristic
1449#102C22×D4711yescharacteristic
1450C22⋊C8—471no—
1451C22⋊C8—471no—
1452C22⋊C8—471no—
1453C22⋊C8—471no—
1454C22⋊C8—471no—
1455C22⋊C8—471no—
1456C22⋊C8—471no—
1457C22⋊C8—471no—
1458C22⋊C8—471no—
1459C22⋊C8—471no—
1460C22⋊C8C22×D4711yescharacteristic
1461C22⋊C8C22×D4711yescharacteristic
1462#97—471no—
1463#97C22×D4711yescharacteristic
1464C4×C8—471no—
1465C4×C8—471no—
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—471no—
1470C24—941no—
1471C24—941no—
1472C24—941no—
1473#41—41no—
1474#41—41no—
1475#41—942no—
1476#41—942no—
1477#41—942no—
1478#41—942no—
1479#41—942no—
1480#41—942no—
1481#41—3762no—
1482#41—1881no—
1483#41—1881no—
1484#41—1881no—
1485#41—1881no—
1486#41—1881no—
1487#41—1881no—
1488#41—1881no—
1489#41—1881no—
1490#41—1881no—
1491#41—1881no—
1492#41—1884no—
1493#41—1884no—
1494#41—1884no—
1495C2×Q8—471no—
1496C2×Q8—471no—
1497C2×Q8—471no—
1498C2×Q8—942no—
1499C2×Q8—941no—
1500C2×Q8—941no—
1501C2×Q8—1881no—
1502C2×Q8C23×D4711yescharacteristic
1503C2×D4—22no—
1504C2×D4—22no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—41no—
1515C2×D4—41no—
1516C2×D4—41no—
1517C2×D4—41no—
1518C2×D4—82no—
1519C2×D4—471no—
1520C2×D4—471no—
1521C2×D4—471no—
1522C2×D4—471no—
1523C2×D4—471no—
1524C2×D4—471no—
1525C2×D4—471no—
1526C2×D4—471no—
1527C2×D4—941no—
1528C2×D4—941no—
1529C2×D4—941no—
1530C2×D4—941no—
1531C2×D4—941no—
1532C2×D4—941no—
1533C2×D4—941no—
1534C2×D4—941no—
1535C2×D4—941no—
1536C2×D4—941no—
1537C2×D4—941no—
1538C2×D4—942no—
1539C2×D4—941no—
1540C2×D4—941no—
1541C2×D4—941no—
1542C2×D4—941no—
1543C2×D4—941no—
1544C2×D4—941no—
1545C2×D4—941no—
1546C2×D4—941no—
1547C2×D4—941no—
1548C2×D4—941no—
1549C2×D4—941no—
1550C2×D4—941no—
1551C2×D4—941no—
1552C2×D4—941no—
1553C2×D4—941no—
1554C2×D4—3762no—
1555C2×D4—3762no—
1556C2×D4—3762no—
1557C2×D4—3762no—
1558C2×D4—1881no—
1559C2×D4—1881no—
1560C2×D4—1881no—
1561C2×D4—1881no—
1562C2×D4—1881no—
1563C2×D4—1884no—
1564C2×D4—1884no—
1565C2×D4—1884no—
1566C2×D4—1884no—
1567C2×D4D4×D4711yescharacteristic
1568C2×D4C23×D4711yescharacteristic
1569C2×D4C23×D4711yescharacteristic
1570C2×D4C23×D4711yescharacteristic
1571C2×D4C23×D4711yescharacteristic
1572C2×D4C23×D4711yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—471no—
1577C22×C4—471no—
1578C22×C4—471no—
1579C22×C4—471no—
1580C22×C4—471no—
1581C22×C4—471no—
1582C22×C4—941no—
1583C22×C4—941no—
1584C22×C4—941no—
1585C22×C4—941no—
1586C22×C4—941no—
1587C22×C4—941no—
1588C22×C4—941no—
1589C22×C4—941no—
1590C22×C4—941no—
1591C22×C4—941no—
1592C22×C4—941no—
1593C22×C4—941no—
1594C22×C4—941no—
1595C22×C4—941no—
1596C22×C4—1881no—
1597C22×C4—1881no—
1598C22×C4—1884no—
1599C22×C4C23×D4711yescharacteristic
1600C22×C4C23×D4711yescharacteristic
1601Q16—942no—
1602Q16—1881no—
1603SD16—22no—
1604SD16—41no—
1605SD16—41no—
1606SD16—942no—
1607SD16—942no—
1608SD16—942no—
1609SD16—1881no—
1610SD16—1881no—
1611SD16—1881no—
1612SD16—1881no—
1613D8—22no—
1614D8—22no—
1615D8—41no—
1616D8—41no—
1617D8—41no—
1618D8—41no—
1619D8—942no—
1620D8—1881no—
1621D8—1881no—
1622D8—1881no—
1623D8—1881no—
1624D8—1881no—
1625M16—41no—
1626M16—1881no—
1627C2×C8—41no—
1628C2×C8—471no—
1629C2×C8—471no—
1630C2×C8—471no—
1631C2×C8—471no—
1632C2×C8—1881no—
1633C2×C8—1881no—
1634C2×C8—1881no—
1635C2×C8—1881no—
1636C2×C8—1881no—
1637C2×C8C23×D4711yescharacteristic
1638C2×C8C23×D4711yescharacteristic
1639C2×C8C23×D4711yescharacteristic
1640C2×C8C23×D4711yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—471no—
1643C4⋊C4—471no—
1644C4⋊C4—471no—
1645C4⋊C4—471no—
1646C4⋊C4—471no—
1647C4⋊C4—471no—
1648C4⋊C4—471no—
1649C4⋊C4—471no—
1650C4⋊C4—471no—
1651C4⋊C4—941no—
1652C4⋊C4—941no—
1653C4⋊C4—941no—
1654C4⋊C4—941no—
1655C4⋊C4—941no—
1656C4⋊C4—941no—
1657C4⋊C4—941no—
1658C4⋊C4—941no—
1659C4⋊C4—941no—
1660C4⋊C4—941no—
1661C4⋊C4—941no—
1662C4⋊C4—941no—
1663C4⋊C4—941no—
1664C4⋊C4D4×D4711yescharacteristic
1665C4⋊C4C23×D4711yescharacteristic
1666C4⋊C4C23×D4711yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—471no—
1676C22⋊C4—471no—
1677C22⋊C4—471no—
1678C22⋊C4—471no—
1679C22⋊C4—471no—
1680C22⋊C4—471no—
1681C22⋊C4—471no—
1682C22⋊C4—471no—
1683C22⋊C4—941no—
1684C22⋊C4—941no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4—941no—
1689C22⋊C4—941no—
1690C22⋊C4—941no—
1691C22⋊C4—941no—
1692C22⋊C4—941no—
1693C22⋊C4—941no—
1694C22⋊C4—941no—
1695C22⋊C4—941no—
1696C22⋊C4—941no—
1697C22⋊C4—941no—
1698C22⋊C4—941no—
1699C22⋊C4—941no—
1700C22⋊C4—941no—
1701C22⋊C4—941no—
1702C22⋊C4—941no—
1703C22⋊C4—941no—
1704C22⋊C4—941no—
1705C22⋊C4—941no—
1706C22⋊C4—941no—
1707C22⋊C4—941no—
1708C22⋊C4D4×D4711yescharacteristic
1709C22⋊C4D4×D4711yescharacteristic
1710C42—471no—
1711C42—941no—
1712C42—941no—
1713C42—941no—
1714C42—941no—
1715C42—941no—
1716C42C23×D4711yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—42no—
1723C23—42no—
1724C23—42no—
1725C23—42no—
1726C23—81no—
1727C23—81no—
1728C23—81no—
1729C23—81no—
1730C23—81no—
1731C23—471no—
1732C23—471no—
1733C23—471no—
1734C23—942no—
1735C23—941no—
1736C23—941no—
1737C23—3761no—
1738C23—3761no—
1739C23—3761no—
1740C23—3761no—
1741C23—3761no—
1742C23—3761no—
1743C23—3761no—
1744C23—1881no—
1745C23—1881no—
1746C23—1882no—
1747C23—1882no—
1748C23C2×D4×D4711yescharacteristic
1749C23C2×D4×D4711yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—472no—
1753Q8—941no—
1754Q8—941no—
1755Q8—941no—
1756Q8—3761no—
1757Q8—1881no—
1758Q8—1882no—
1759D4—22no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—42no—
1770D4—42no—
1771D4—42no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—944no—
1779D4—942no—
1780D4—941no—
1781D4—941no—
1782D4—941no—
1783D4—941no—
1784D4—3761no—
1785D4—3761no—
1786D4—3761no—
1787D4—3761no—
1788D4—3761no—
1789D4—3761no—
1790D4—3761no—
1791D4—3761no—
1792D4—3761no—
1793D4—3761no—
1794D4—3761no—
1795D4—3761no—
1796D4—3761no—
1797D4—3761no—
1798D4—3761no—
1799D4—3761no—
1800D4—1881no—
1801D4—1881no—
1802D4—1881no—
1803D4—1881no—
1804D4—1881no—
1805D4—1882no—
1806D4—1882no—
1807D4—1882no—
1808D4—1882no—
1809D4—1882no—
1810D4—1882no—
1811D4—1882no—
1812D4—1882no—
1813D4—1882no—
1814D4#1309406912yes—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—81no—
1823C2×C4—81no—
1824C2×C4—81no—
1825C2×C4—471no—
1826C2×C4—471no—
1827C2×C4—471no—
1828C2×C4—471no—
1829C2×C4—471no—
1830C2×C4—944no—
1831C2×C4—941no—
1832C2×C4—941no—
1833C2×C4—941no—
1834C2×C4—941no—
1835C2×C4—941no—
1836C2×C4—941no—
1837C2×C4—941no—
1838C2×C4—941no—
1839C2×C4—941no—
1840C2×C4—941no—
1841C2×C4—941no—
1842C2×C4—941no—
1843C2×C4—3761no—
1844C2×C4—3761no—
1845C2×C4—3761no—
1846C2×C4—3761no—
1847C2×C4—3761no—
1848C2×C4—3761no—
1849C2×C4—1881no—
1850C2×C4—1881no—
1851C2×C4—1882no—
1852C2×C4—1881no—
1853C2×C4—1882no—
1854C2×C4—1882no—
1855C2×C4—1882no—
1856C2×C4—1882no—
1857C2×C4—1882no—
1858C2×C4—1882no—
1859C2×C4C2×D4×D4711yescharacteristic
1860C2×C4C2×D4×D4711yescharacteristic
1861C2×C4C2×D4×D4711yescharacteristic
1862C2×C4C2×D4×D4711yescharacteristic
1863C2×C4C24×D4711yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—941no—
1869C8—941no—
1870C8—941no—
1871C8—941no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—22no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—84no—
1893C22—162no—
1894C22—162no—
1895C22—941no—
1896C22—941no—
1897C22—941no—
1898C22—941no—
1899C22—941no—
1900C22—941no—
1901C22—941no—
1902C22—941no—
1903C22—941no—
1904C22—3762no—
1905C22—1881no—
1906C22—1881no—
1907C22—1881no—
1908C22—1881no—
1909C22—1881no—
1910C22—1881no—
1911C22—7522no—
1912C22—7522no—
1913C22—7522no—
1914C22#1568992712yes—
1915C22C22×D4×D4711yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—941no—
1924C4—941no—
1925C4—941no—
1926C4—941no—
1927C4—941no—
1928C4—942no—
1929C4—1881no—
1930C4—1881no—
1931C4—1881no—
1932C4—1881no—
1933C4—1881no—
1934C4H(5,𝔽2)×D4711yescharacteristic
1935C4C2×#1309406911yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—42no—
1939C2—81no—
1940C2—81no—
1941C2—81no—
1942C2—81no—
1943C2—3761no—
1944C2—3761no—
1945C2—1881no—
1946C2—1881no—
1947C2—1881no—
1948C2#2025701611yescharacteristic
1949C2C2×#1568992711yescharacteristic
1950C2#2025815611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3264C2
socleC22×C47C23×D4
hypercenter#3264D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #20257690C2semidirect
2. #20257048C2semidirect
3. #20255549C2semidirect
4. #20255413C2semidirect
5. #20255389C2semidirect
6. #20255381C2semidirect
7. #20255341C2semidirect
8. #20255281C2semidirect
9. #20255242C2semidirect
10. #20255201C2semidirect
11. #20255141C2semidirect
12. #20255091C2semidirect
13. #20255068C2semidirect
14. D8×C22⋊D47C2semidirect
15. #20254927C2semidirect
16. #20254922C2semidirect
17. #20254887C2semidirect
18. #20254477C2semidirect
19. #20254437C2semidirect
20. #20254287C2semidirect
21. #20254235C2semidirect
22. #20254154C2semidirect
23. #20254137C2semidirect
24. #20253647C2semidirect
25. #20253591C2semidirect
26. #20252691C2semidirect
27. #20252651C2semidirect
28. #20252607C2semidirect
29. C2×#15689265C2semidirect
30. #20252439C2semidirect
31. C47×#3264C2semidirect
32. C2×#13094069C22semidirect
33. C22×#10625352C22semidirect
34. C2×#13094048C22semidirect
35. C2×#13094045C22semidirect
36. C2×#13094045C22semidirect
37. C2×#13094044C22semidirect
38. C22×#10625335C22semidirect
39. C2×D8×D47C22semidirect
42. #15689838C22semidirect
43. #15689825C22semidirect
44. #15689815C22semidirect
46. #15689793C22semidirect
47. #15689792C22semidirect
48. #15689791C22semidirect
49. #15689782C22semidirect
51. #15689777C22semidirect
52. #15689768C22semidirect
53. #15689767C22semidirect
54. #15689766C22semidirect
60. D4×C22⋊D47C22semidirect
62. #15689742C22semidirect
64. #15689724C22semidirect
66. #15689702C22semidirect
67. #15689701C22semidirect
69. #15689689C22semidirect
72. #15689686C22semidirect
74. #15689636C22semidirect
78. C2×#13093995C22semidirect
79. #121×D47C22semidirect
80. #15689602C22semidirect
81. #15689511C22semidirect
82. #15689505C22semidirect
83. #15689498C22semidirect
84. #15689486C22semidirect
85. #15689483C22semidirect
86. #15689476C22semidirect
87. #15689469C22semidirect
88. #15689467C22semidirect
89. #15689459C22semidirect
90. #15689457C22semidirect
91. #15689449C22semidirect
92. #15689445C22semidirect
93. #15689445C22semidirect
94. #15689443C22semidirect
95. #15689437C22semidirect
96. #15689435C22semidirect
97. #15689435C22semidirect
98. #15689434C22semidirect
99. #15689434C22semidirect
100. #15689433C22semidirect
101. #15689421C22semidirect
102. #15689419C22semidirect
103. #15689403C22semidirect
104. #15689369C22semidirect
105. #15689368C22semidirect
106. #15689366C22semidirect
107. #15689363C22semidirect
108. #15689359C22semidirect
109. #15689358C22semidirect
110. #15689358C22semidirect
111. #15689357C22semidirect
112. #15689357C22semidirect
113. #15689356C22semidirect
114. #15689356C22semidirect
115. #15689356C22semidirect
116. #15689354C22semidirect
117. #15689350C22semidirect
118. #15689343C22semidirect
119. #15689342C22semidirect
120. #15689339C22semidirect
121. #15689338C22semidirect
122. #15689336C22semidirect
123. #15689322C22semidirect
124. #15689321C22semidirect
125. #15689316C22semidirect
126. #15689316C22semidirect
127. #15689315C22semidirect
128. #15689285C22semidirect
129. #15689282C22semidirect
130. #15689282C22semidirect
131. #15689282C22semidirect
132. #15689278C22semidirect
133. #15689275C22semidirect
134. #15689272C22semidirect
135. #15689272C22semidirect
136. #15689271C22semidirect
137. #15689270C22semidirect
138. #15689269C22semidirect
139. #15689269C22semidirect
140. #15689267C22semidirect
141. #15689266C22semidirect
143. #15689265C22semidirect
144. #15689265C22semidirect
145. #15689265C22semidirect
146. #15689265C22semidirect
147. #15689265C22semidirect
148. #15689265C22semidirect
149. #15689265C22semidirect
150. #15689265C22semidirect
151. #15689264C22semidirect
152. #15689258C22semidirect
153. #15689257C22semidirect
154. #15689257C22semidirect
155. #15689257C22semidirect
156. #15689255C22semidirect
157. #15689255C22semidirect
158. #15689255C22semidirect
159. #15689255C22semidirect
160. #15689225C22semidirect
161. #15689224C22semidirect
162. #15689220C22semidirect
163. #15689215C22semidirect
164. C4×#10625335C22semidirect
165. D8×Dic47C22semidirect
166. C4×#10625334C22semidirect
167. #15689196C22semidirect
168. #15689192C22semidirect
169. #15689191C22semidirect
170. D4×C47⋊C8C22semidirect
171. #15689188C22semidirect
172. C8×C22⋊D47C22semidirect
173. (C22⋊D47)⋊C8C22semidirect
174. #15689185C22semidirect
175. #15689183C22semidirect
176. #15689126C22semidirect
177. #15689125C22semidirect
178. #15689116C22semidirect
179. #15689116C22semidirect
180. #15689116C22semidirect
181. C2×#13093949C22semidirect
182. C2×#13093945C22semidirect
183. C2×#13093945C22semidirect
184. #15689091C22semidirect
185. #15689088C22semidirect
186. C2×(C2×D47)⋊C8C22semidirect
187. C22⋊C8×D47C22semidirect
188. C2×AGL(1,ℤ/8)×C47C22semidirect
189. C22×D8×C47C22semidirect
190. C47×#546C22semidirect
191. D42×C47C22semidirect
192. C47×#496C22semidirect
193. C47×#469C22semidirect
194. C47×#465C22semidirect
195. C47×#463C22semidirect
196. C47×#459C22semidirect
197. C47×#450C22semidirect
198. C47×#449C22semidirect
199. C47×#447C22semidirect
200. C47×#447C22semidirect
201. C47×#442C22semidirect
202. C47×#435C22semidirect
978. #3264D47semidirect
1010. C2×AGL(1,ℤ/8)C2×D47semidirect
1016. C22×D8C2×D47semidirect
1035. #546C2×D47semidirect
1040. D42C2×D47semidirect
1061. #496C2×D47semidirect
1084. #469C2×D47semidirect
1099. #465C2×D47semidirect
1105. #463C2×D47semidirect
1111. #459C2×D47semidirect
1120. #450C2×D47semidirect
1136. #449C2×D47semidirect
1146. #447C2×D47semidirect
1147. #447C2×D47semidirect
1148. #442C2×D47semidirect
1159. #435C2×D47semidirect
1178. C47#61639semidirect

Maximal subgroups

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

subgroupindex
#202576902
#202570482
#202555492
#202554132
#202553892
#202553812
#202553412
#202552812
#202552422
#202552012
#202551412
#202550912
#202550682
D8×C22⋊D472
#202549272
#202549222
#202548872
#202544772
#202544372
#202542872
#202542352
#202541542
#202541372
#202536472
#202535912
#202526912
#202526512
#202526072
C2×#156892652
#202524392
C47×#32642
#6163947