Finite Group Databasebeta

← #27103297

Subgroups — #27103297

Order 12032.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257804C211yesmaximal, characteristic, complemented
2#20257144C211yesmaximal, characteristic, complemented
3#20255599C211yesmaximal, characteristic, complemented
4#20255593C211yesmaximal, characteristic, complemented
5#20255529C211yesmaximal, characteristic, complemented
6#20255489C211yesmaximal, characteristic, complemented
7#20255416C211yesmaximal, characteristic, complemented
8#20255366C211yesmaximal, characteristic, complemented
9#20255233C211yesmaximal, characteristic, complemented
10#20255227C211yesmaximal, characteristic, complemented
11#20255095C211yesmaximal, characteristic, complemented
12#20255071C211yesmaximal, characteristic, complemented
13#20255022C211yesmaximal, characteristic, complemented
14#20254993C211yesmaximal, characteristic, complemented
15#20254944C211yesmaximal, characteristic, complemented
16#20254908C211yesmaximal, characteristic, complemented
17#20254867C211yesmaximal, characteristic, complemented
18#20254420C211yesmaximal, characteristic, complemented
19#20254368C211yesmaximal, characteristic, complemented
20#20254297C211yesmaximal, characteristic, complemented
21#20254286C211yesmaximal, characteristic, complemented
22#20254266C211yesmaximal, characteristic, complemented
23#20254233C211yesmaximal, characteristic, complemented
24#20253530C211yesmaximal, characteristic, complemented
25#20253434C211yesmaximal, characteristic, complemented
26#20252693C211yesmaximal, characteristic, complemented
27#20252691C211yesmaximal, characteristic, complemented
28#20252661C211yesmaximal, characteristic, complemented
29#20252651C211yesmaximal, characteristic, complemented
30#20252460C211yesmaximal, characteristic, complemented
31C47×#3265C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic
33C2×#13094069C2211yescharacteristic, complemented
34C2×#13094055C2211yescharacteristic, complemented
35C2×#13094051C2211yescharacteristic, complemented
36C2×#13094048C2211yescharacteristic, complemented
37C2×#13094045C2211yescharacteristic, complemented
38C2×#13094044C2211yescharacteristic, complemented
39C2×D8×D47C2211yescharacteristic, complemented
40#15689874—21no—
41#15689861—21no—
42#15689835—21no—
43#15689820C2211yescharacteristic, complemented
44#15689819C2211yescharacteristic, complemented
45#15689815C2211yescharacteristic, complemented
46#15689814C2211yescharacteristic, complemented
47#15689802—21no—
48#15689784C2211yescharacteristic, complemented
49#15689778C2211yescharacteristic, complemented
50#15689777C2211yescharacteristic
51#15689773—21no—
52#15689770C2211yescharacteristic
53#15689770C2211yescharacteristic, complemented
54#15689767C2211yescharacteristic
55#15689767C2211yescharacteristic, complemented
56#15689766C2211yescharacteristic, complemented
57#15689761C2211yescharacteristic, complemented
58#15689760—21no—
59#15689760—21no—
60#15689758C2211yescharacteristic
61D4×C22⋊D47—21no—
62#15689724—21no—
63#15689723—21no—
64#15689713—21no—
65#15689707—21no—
66#15689703C2211yescharacteristic, complemented
67#15689702C2211yescharacteristic
68#15689702C2211yescharacteristic, complemented
69#15689701C2211yescharacteristic, complemented
70#15689697C2211yescharacteristic, complemented
71#15689689C2211yescharacteristic, complemented
72#15689683—21no—
73#15689683—21no—
74#15689671C2211yescharacteristic, complemented
75#15689670C2211yescharacteristic
76#15689660C2211yescharacteristic, complemented
77#15689652C2211yescharacteristic, complemented
78C2×#13093995—21no—
79#121×D47—21no—
80C4×D4×D47C2211yescharacteristic, complemented
81#15689518C2211yescharacteristic, complemented
82#15689504C2211yescharacteristic, complemented
83#15689504C2211yescharacteristic, complemented
84#15689492C2211yescharacteristic, complemented
85#15689487C2211yescharacteristic, complemented
86#15689476C2211yescharacteristic, complemented
87#15689476C2211yescharacteristic, complemented
88#15689466C2211yescharacteristic, complemented
89#15689465C2211yescharacteristic, complemented
90#15689460C2211yescharacteristic, complemented
91#15689457C2211yescharacteristic, complemented
92#15689454C2211yescharacteristic, complemented
93#15689452C2211yescharacteristic, complemented
94#15689446C2211yescharacteristic, complemented
95#15689444C2211yescharacteristic, complemented
96#15689440C2211yescharacteristic, complemented
97#15689439C2211yescharacteristic, complemented
98#15689438C2211yescharacteristic, complemented
99#15689435C2211yescharacteristic, complemented
100#15689426C2211yescharacteristic, complemented
101#15689425C2211yescharacteristic, complemented
102#15689424C2211yescharacteristic, complemented
103#15689423C2211yescharacteristic, complemented
104#15689380C2211yescharacteristic, complemented
105#15689380C2211yescharacteristic, complemented
106#15689374C2211yescharacteristic, complemented
107#15689373C2211yescharacteristic, complemented
108#15689369C2211yescharacteristic, complemented
109#15689367C2211yescharacteristic, complemented
110#15689366C2211yescharacteristic, complemented
111#15689363C2211yescharacteristic, complemented
112#15689362C2211yescharacteristic, complemented
113#15689357C2211yescharacteristic, complemented
114#15689352C2211yescharacteristic, complemented
115#15689351C2211yescharacteristic, complemented
116#15689349C2211yescharacteristic, complemented
117#15689349C2211yescharacteristic, complemented
118#15689343C2211yescharacteristic, complemented
119#15689343C2211yescharacteristic, complemented
120#15689341C2211yescharacteristic, complemented
121#15689340C2211yescharacteristic, complemented
122#15689336C2211yescharacteristic, complemented
123#15689336C2211yescharacteristic, complemented
124#15689335C2211yescharacteristic, complemented
125#15689333C2211yescharacteristic, complemented
126#15689329C2211yescharacteristic, complemented
127#15689315C2211yescharacteristic, complemented
128#15689288C2211yescharacteristic, complemented
129#15689285C2211yescharacteristic, complemented
130#15689283C2211yescharacteristic, complemented
131#15689282C2211yescharacteristic, complemented
132#15689282C2211yescharacteristic, complemented
133#15689282C2211yescharacteristic, complemented
134#15689282C2211yescharacteristic, complemented
135#15689282C2211yescharacteristic, complemented
136#15689282C2211yescharacteristic, complemented
137#15689282C2211yescharacteristic, complemented
138#15689279C2211yescharacteristic, complemented
139#15689275C2211yescharacteristic, complemented
140#15689272C2211yescharacteristic, complemented
141#15689272C2211yescharacteristic, complemented
142#15689272C2211yescharacteristic, complemented
143#15689272C2211yescharacteristic, complemented
144#15689272C2211yescharacteristic, complemented
145#15689270C2211yescharacteristic, complemented
146#15689270C2211yescharacteristic, complemented
147#15689269C2211yescharacteristic, complemented
148#15689269C2211yescharacteristic, complemented
149#15689267C2211yescharacteristic, complemented
150#15689266C2211yescharacteristic, complemented
151#15689265C2211yescharacteristic, complemented
152#15689265C2211yescharacteristic, complemented
153#15689265C2211yescharacteristic, complemented
154#15689258C2211yescharacteristic
155#15689257C2211yescharacteristic, complemented
156#15689257C2211yescharacteristic, complemented
157#15689255C2211yescharacteristic
158#15689255C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689236C2211yescharacteristic, complemented
161#15689233C2211yescharacteristic, complemented
162#15689221C2211yescharacteristic, complemented
163SD16×Dic47C2211yescharacteristic, complemented
164#15689208C2211yescharacteristic, complemented
165D8×Dic47C2211yescharacteristic, complemented
166#15689203C2211yescharacteristic, complemented
167#15689199C2211yescharacteristic, complemented
168#15689198C2211yescharacteristic, complemented
169#15689196C2211yescharacteristic, complemented
170#15689195C2211yescharacteristic, complemented
171#15689193C2211yescharacteristic, complemented
172C8×C22⋊D47C2211yescharacteristic, complemented
173(C22⋊D47)⋊C8C2211yescharacteristic, complemented
174#15689178C2211yescharacteristic, complemented
175#15689175C2211yescharacteristic, complemented
176#15689128C2211yescharacteristic, complemented
177#15689126C2211yescharacteristic, complemented
178#15689125C2211yescharacteristic, complemented
179#15689121C2211yescharacteristic, complemented
180#15689120C2211yescharacteristic, complemented
181#15689116C2211yescharacteristic, complemented
182C2×#13093945C2211yescharacteristic, complemented
183#102×D47C2211yescharacteristic, complemented
184#15689091C2211yescharacteristic, complemented
185#15689089C2211yescharacteristic, complemented
186#15689088C2211yescharacteristic, complemented
187#15689088C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
189C22×SD16×C47C2211yescharacteristic, complemented
190C47×#548C2211yescharacteristic, complemented
191D42×C47C2211yescharacteristic, complemented
192C47×#496C2211yescharacteristic, complemented
193C47×#468C2211yescharacteristic, complemented
194C47×#466C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#460C2211yescharacteristic, complemented
197C47×#450C2211yescharacteristic, complemented
198C47×#449C2211yescharacteristic, complemented
199C47×#448C2211yescharacteristic, complemented
200C47×#447C2211yescharacteristic, complemented
201C47×#440C2211yescharacteristic, complemented
202C47×#435C2211yescharacteristic, complemented
203#13094069—42no—
204#13094069—42no—
205#13094069—42no—
206#13094069—42no—
207C2×#10625354C2311yescharacteristic
208C2×#10625350C2311yescharacteristic
209C2×#10625350C2311yescharacteristic
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625352—21no—
213C2×#10625352—21no—
214C2×#10625352C2311yescharacteristic
215C2×#10625352C2311yescharacteristic
216C2×#10625352C2311yescharacteristic
217C2×#10625352C2311yescharacteristic
218C22×C22⋊D47—21no—
219C22×C22⋊D47—21no—
220C22×C22⋊D47—21no—
221C22×C22⋊D47—21no—
222C2×D4×D47—21no—
223C2×D4×D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47C2311yescharacteristic
226C2×D4×D47C2311yescharacteristic
227C2×D4×D47C2311yescharacteristic
228C2×D4×D47C2311yescharacteristic
229C22×C4×D47—21no—
230#13094055—42no—
231#13094051—42no—
232#13094048—42no—
233#13094045—42no—
234#13094044—42no—
235C2×#10625337C2311yescharacteristic
236C2×#10625337C2311yescharacteristic
237C2×#10625337C2311yescharacteristic
238C2×#10625337C2311yescharacteristic
239C2×#10625325C2311yescharacteristic
240C2×#10625325C2311yescharacteristic
241C2×#10625335C2311yescharacteristic
242C2×#10625335C2311yescharacteristic
243C2×#10625336C2311yescharacteristic
244C2×#10625336C2311yescharacteristic
245C2×D376C2311yescharacteristic
246C2×#10625334C2311yescharacteristic
247C2×#10625334C2311yescharacteristic
248C2×#10625334C2311yescharacteristic
249C2×#10625334C2311yescharacteristic
250D8×D47—42no—
251C2×#10625329C2311yescharacteristic
252C2×#10625324C2311yescharacteristic
253C2×#10625324C2311yescharacteristic
254C22×C47⋊C8C2311yescharacteristic
255C2×C8×D47C2311yescharacteristic
256C2×C8×D47C2311yescharacteristic
257#13094024C2311yescharacteristic
258#13094023D411yescharacteristic
259#13094022—21no—
260#13094020—21no—
261#13094020D411yescharacteristic
262#13094019—21no—
263#13094019—21no—
264#13094019—21no—
265#13094018—21no—
266#13094017—21no—
267#13094017—21no—
268#13094016C2311yescharacteristic
269#13094015—21no—
270#13094015C2311yescharacteristic
271#13094014—21no—
272#13094013—21no—
273#13094013—21no—
274#13094013C2311yescharacteristic
275#13094011C2311yescharacteristic
276#13094011C2311yescharacteristic
277#13094010—21no—
278#13094010D411yescharacteristic
279#13094010D411yescharacteristic
280#13094009—21no—
281#13094009—21no—
282#13094008—21no—
283#13094008—21no—
284#13094008—21no—
285#13094007—21no—
286#13094007—21no—
287#13094007—21no—
288#13094006—21no—
289#13094006—21no—
290#13094006—21no—
291#13094006—21no—
292#13094006—21no—
293#13094006—21no—
294#13094006—21no—
295#13094005—21no—
296#13094005—21no—
297#13094005—21no—
298#13094004C2311yescharacteristic
299#13094004C2311yescharacteristic
300#13094003—21no—
301#13094003C2311yescharacteristic
302#13094003C2311yescharacteristic
303#13094002—21no—
304#13094001—21no—
305#13094001—21no—
306#13094000—21no—
307#13094000C2311yescharacteristic
308#13094000C2311yescharacteristic
309#13094000C2311yescharacteristic
310#13094000C2311yescharacteristic
311#13094000C2311yescharacteristic
312#13093999—21no—
313#13093999D411yescharacteristic
314#13093999C2311yescharacteristic
315#13093998—21no—
316#13093998—21no—
317#13093998—21no—
318#13093998C2311yescharacteristic
319#13093998C2311yescharacteristic
320#13093997—21no—
321#13093997—21no—
322#13093997—21no—
323#13093997—21no—
324#13093997—21no—
325#13093997D411yescharacteristic
326#13093997D411yescharacteristic
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#13093995—21no—
336#13093995—21no—
337#13093995—21no—
338#13093995—21no—
339#13093995—21no—
340#13093995—21no—
341#13093995—21no—
342#13093995—21no—
343#13093995—21no—
344#13093995D411yescharacteristic
345#13093995C2311yescharacteristic
346#13093995C2311yescharacteristic
347#13093995C2311yescharacteristic
348#13093995C2311yescharacteristic
349#13093994—21no—
350#13093994—21no—
351#13093993—21no—
352#13093993—21no—
353#13093992—21no—
354#13093992—21no—
355#13093992—21no—
356#13093992—21no—
357#13093992—21no—
358#13093992—21no—
359Q8×Dic47C2311yescharacteristic
360C4×D188—21no—
361C4×D188C2311yescharacteristic
362C4×D188C2311yescharacteristic
363C4×D188C2311yescharacteristic
364D4×Dic47—21no—
365D4×Dic47—21no—
366D4×Dic47C2311yescharacteristic
367D4×Dic47C2311yescharacteristic
368#13093986C2311yescharacteristic
369C4×C22⋊D47—21no—
370C4×C22⋊D47—21no—
371C4×C22⋊D47C2311yescharacteristic
372C4×C22⋊D47C2311yescharacteristic
373(C22⋊D47)⋊C4—21no—
374(C22⋊D47)⋊C4—21no—
375(C22⋊D47)⋊C4—21no—
376(C22⋊D47)⋊C4—21no—
377#13093983C2311yescharacteristic
378#13093982C2311yescharacteristic
379#13093981—21no—
380#13093981—21no—
381#13093980—21no—
382#13093980—21no—
383C2×C4⋊Dic47—21no—
384C2×C4⋊Dic47C2311yescharacteristic
385C4⋊C4×D47—21no—
386C4⋊C4×D47C2311yescharacteristic
387C4⋊C4×D47C2311yescharacteristic
388C2×C22⋊Dic47—21no—
389C2×C22⋊Dic47—21no—
390C2×(C2×D47)⋊C4—21no—
391C22⋊C4×D47—21no—
392C22⋊C4×D47—21no—
393C22⋊C4×D47—21no—
394C22⋊C4×D47—21no—
395C42×D47C2311yescharacteristic
396#13093958C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093956C2311yescharacteristic
400#13093956C2311yescharacteristic
401#13093955C2311yescharacteristic
402#13093955C2311yescharacteristic
403C4⋊(C47⋊C8)C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093947C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
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#13093935C2311yescharacteristic
443C8×Dic47C2311yescharacteristic
444C8×Dic47C2311yescharacteristic
445C2×#41×C47C2311yescharacteristic
446C22×Q8×C47C2311yescharacteristic
447C22×D4×C47—21no—
448C22×D4×C47C2311yescharacteristic
449C22×D4×C47C2311yescharacteristic
450AGL(1,ℤ/8)×C47—42no—
451C2×SD16×C47—42no—
452C2×SD16×C47C2311yescharacteristic
453C2×SD16×C47C2311yescharacteristic
454C2×SD16×C47C2311yescharacteristic
455C2×SD16×C47C2311yescharacteristic
456C2×SD16×C47C2311yescharacteristic
457C2×SD16×C47C2311yescharacteristic
458C2×D8×C47C2311yescharacteristic
459C2×D8×C47C2311yescharacteristic
460C2×D8×C47C2311yescharacteristic
461C2×M16×C47C2311yescharacteristic
462C22×C8×C47C2311yescharacteristic
463#127×C47C2311yescharacteristic
464#124×C47—21no—
465#124×C47C2311yescharacteristic
466C22⋊Q8×C47—21no—
467C22⋊Q8×C47C2311yescharacteristic
468#121×C47—21no—
469#121×C47—21no—
470#121×C47C2311yescharacteristic
471#121×C47C2311yescharacteristic
472#121×C47C2311yescharacteristic
473#120×C47—21no—
474#120×C47—21no—
475C4×Q8×C47C2311yescharacteristic
476C4×D4×C47—21no—
477C4×D4×C47C2311yescharacteristic
478C4×D4×C47C2311yescharacteristic
479#107×C47C2311yescharacteristic
480C4⋊C8×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#103×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486#102×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489#97×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496#41×C47—41no—
497#41×C47—41no—
498C2×Q8×C47—21no—
499C2×Q8×C47—41no—
500C2×Q8×C47—41no—
501C2×Q8×C47C2411yescharacteristic
502C2×Q8×C47C2411yescharacteristic
503C2×D4×C47—22no—
504C2×D4×C47—22no—
505C2×D4×C47—21no—
506C2×D4×C47—21no—
507C2×D4×C47—21no—
508C2×D4×C47—21no—
509C2×D4×C47—21no—
510C2×D4×C47—21no—
511C2×D4×C47—21no—
512C2×D4×C47—21no—
513C2×D4×C47—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
521C22×C4×C47—21no—
522C22×C4×C47—21no—
523C22×C4×C47—21no—
524C22×C4×C47C2411yescharacteristic
525C22×C4×C47C2411yescharacteristic
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531C2×C22⋊D47—21no—
532C2×C22⋊D47—21no—
533C2×C22⋊D47—21no—
534C2×C22⋊D47—21no—
535C2×C22⋊D47—21no—
536C2×C22⋊D47—21no—
537C2×C22⋊D47—21no—
538C2×C22⋊D47—21no—
539C2×C22⋊D47—21no—
540C2×C22⋊D47—21no—
541C2×C22⋊D47—21no—
542C2×C22⋊D47—44no—
543C2×C22⋊D47—44no—
544C2×C22⋊D47—44no—
545C2×C22⋊D47—44no—
546C2×C22⋊D47C2×D411yescharacteristic
547C2×C22⋊D47C2×D411yescharacteristic
548C2×C22⋊D47C2×D411yescharacteristic
549C2×C22⋊D47C2×D411yescharacteristic
550C2×C22⋊D47C2×D411yescharacteristic
551C2×C22⋊D47C2×D411yescharacteristic
552C22×Dic47—21no—
553C22×Dic47—21no—
554C22×Dic47—21no—
555C22×Dic47—21no—
556C22×Dic47—21no—
557C22×Dic47—21no—
558C22×Dic47—21no—
559#10625354—41no—
560#10625354—41no—
561#10625352—22no—
562#10625352—22no—
563#10625352—41no—
564#10625352—41no—
565#10625352—41no—
566#10625352—41no—
567#10625352—41no—
568#10625352—41no—
569#10625352—44no—
570#10625352—44no—
571D4×D47—22no—
572D4×D47—22no—
573D4×D47—22no—
574D4×D47—22no—
575D4×D47—41no—
576D4×D47—41no—
577D4×D47—41no—
578D4×D47—41no—
579D4×D47—44no—
580D4×D47—44no—
581D4×D47—82no—
582#10625350—22no—
583#10625350—22no—
584#10625350—41no—
585#10625350—41no—
586#10625350—41no—
587#10625350—41no—
588#10625350—41no—
589#10625350—41no—
590C2×D188—21no—
591C2×D188—21no—
592C2×D188C2×D411yescharacteristic
593C2×D188C2×D411yescharacteristic
594C2×D188C2×D411yescharacteristic
595C2×D188C2411yescharacteristic
596C2×D188C2411yescharacteristic
597C2×C4×D47—21no—
598C2×C4×D47—21no—
599C2×C4×D47—21no—
600C2×C4×D47—21no—
601C2×C4×D47—21no—
602C2×C4×D47—21no—
603C2×C4×D47—21no—
604C2×C4×D47—21no—
605C2×C4×D47—82no—
606C2×C4×D47C2×D411yescharacteristic
607C2×C4×D47C2×D411yescharacteristic
608C2×C4×D47C2411yescharacteristic
609C2×C4×D47C2411yescharacteristic
610C2×C4×D47C2411yescharacteristic
611C2×Dic94C2×D411yescharacteristic
612C2×Dic94C2×D411yescharacteristic
613C2×Dic94C2411yescharacteristic
614C2×Dic94C2411yescharacteristic
615SD16×C47—22no—
616SD16×C47—22no—
617SD16×C47—41no—
618SD16×C47—41no—
619SD16×C47—41no—
620SD16×C47—41no—
621D8×C47—22no—
622D8×C47—41no—
623D8×C47—41no—
624M16×C47—41no—
625C2×C8×C47—41no—
626C2×C8×C47C2411yescharacteristic
627C2×C8×C47C2411yescharacteristic
628C2×C8×C47C2411yescharacteristic
629C2×C8×C47C2411yescharacteristic
630C4⋊C4×C47—21no—
631C4⋊C4×C47—21no—
632C4⋊C4×C47C2×D411yescharacteristic
633C4⋊C4×C47C2411yescharacteristic
634C4⋊C4×C47C2411yescharacteristic
635C22⋊C4×C47—21no—
636C22⋊C4×C47—21no—
637C22⋊C4×C47—21no—
638C22⋊C4×C47—21no—
639C22⋊C4×C47—21no—
640C22⋊C4×C47—21no—
641C22⋊C4×C47—21no—
642C22⋊C4×C47C2×D411yescharacteristic
643C22⋊C4×C47C2×D411yescharacteristic
644C42×C47—21no—
645C42×C47C2411yescharacteristic
646C22⋊Dic47—21no—
647C22⋊Dic47—21no—
648C22⋊Dic47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47—21no—
653C22⋊Dic47—21no—
654C22⋊Dic47—21no—
655C22⋊Dic47—21no—
656C22⋊Dic47—21no—
657C22⋊Dic47—21no—
658C22⋊Dic47—21no—
659C22⋊Dic47C2×D411yescharacteristic
660C22⋊Dic47C2×D411yescharacteristic
661#10625337—41no—
662#10625337—41no—
663#10625337—41no—
664#10625337—41no—
665#10625336—22no—
666#10625336—22no—
667#10625335—41no—
668#10625335—41no—
669#10625334—22no—
670#10625334—22no—
671#10625334—41no—
672#10625334—41no—
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)⋊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)⋊C4C2×D411yescharacteristic
690(C2×D47)⋊C4C2×D411yescharacteristic
691(C2×D47)⋊C4C2×D411yescharacteristic
692(C2×D47)⋊C4C2×D411yescharacteristic
693C4⋊Dic47—21no—
694C4⋊Dic47—21no—
695C4⋊Dic47—21no—
696C4⋊Dic47—21no—
697C4⋊Dic47—21no—
698C4⋊Dic47—21no—
699C4⋊Dic47—21no—
700C4⋊Dic47C2×D411yescharacteristic
701C4⋊Dic47C2411yescharacteristic
702C4⋊Dic47C2411yescharacteristic
703C4⋊Dic47C2411yescharacteristic
704C4⋊Dic47C2411yescharacteristic
705Dic47⋊C4—21no—
706Dic47⋊C4—21no—
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714Dic47⋊C4—21no—
715Dic47⋊C4—21no—
716Dic47⋊C4—21no—
717Dic47⋊C4C2×D411yescharacteristic
718Dic47⋊C4C2×D411yescharacteristic
719C4×Dic47—21no—
720C4×Dic47—21no—
721C4×Dic47—21no—
722C4×Dic47C2×D411yescharacteristic
723C4×Dic47C2×D411yescharacteristic
724C4×Dic47C2411yescharacteristic
725#10625329—41no—
726C2×C47⋊C8—41no—
727C2×C47⋊C8C2411yescharacteristic
728C2×C47⋊C8C2411yescharacteristic
729C2×C47⋊C8C2411yescharacteristic
730C2×C47⋊C8C2411yescharacteristic
731D376—22no—
732#10625325—41no—
733#10625325—41no—
734#10625324—41no—
735#10625324—41no—
736C8×D47—41no—
737C8×D47—41no—
738C23×C47—21no—
739C23×C47—21no—
740C23×C47—21no—
741C23×C47—21no—
742C23×C47—42no—
743C23×C47—42no—
744C23×C47—81no—
745C23×C47—81no—
746C23×C47—81no—
747C23×C47—81no—
748C23×C47C22×D411yescharacteristic
749C23×C47C22×D411yescharacteristic
750C22×D47—21no—
751C22×D47—24no—
752C22×D47—21no—
753C22×D47—42no—
754C22×D47—42no—
755C22×D47—81no—
756C22×D47—81no—
757C22×D47—81no—
758C22×D47—81no—
759C22×D47—81no—
760C22×D47—81no—
761C22×D47—81no—
762C22×D47—81no—
763C22×D47—81no—
764C22×D47C22×D411yescharacteristic
765C22×D47C22×D411yescharacteristic
766C22×D47C22×D411yescharacteristic
767Q8×C47—21no—
768Q8×C47—21no—
769Q8×C47—21no—
770Q8×C47—21no—
771Q8×C47—81no—
772D4×C47—21no—
773D4×C47—21no—
774D4×C47—21no—
775D4×C47—21no—
776D4×C47—21no—
777D4×C47—21no—
778D4×C47—21no—
779D4×C47—41no—
780D4×C47—42no—
781D4×C47—42no—
782D4×C47—42no—
783D4×C47—81no—
784D4×C47—81no—
785D4×C47—81no—
786D4×C47—81no—
787D4×C47—81no—
788D4×C47H(5,𝔽2)12yes—
789C2×C4×C47—21no—
790C2×C4×C47—21no—
791C2×C4×C47—21no—
792C2×C4×C47—21no—
793C2×C4×C47—21no—
794C2×C4×C47—21no—
795C2×C4×C47—21no—
796C2×C4×C47—21no—
797C2×C4×C47—42no—
798C2×C4×C47—81no—
799C2×C4×C47—81no—
800C2×C4×C47C22×D411yescharacteristic
801C2×C4×C47C22×D411yescharacteristic
802C2×C4×C47C22×D411yescharacteristic
803C2×C4×C47C22×D411yescharacteristic
804C2×C4×C47C2511yescharacteristic
805C22⋊D47—24no—
806C22⋊D47—41no—
807C22⋊D47—41no—
808C22⋊D47—41no—
809C22⋊D47—41no—
810C22⋊D47—41no—
811C22⋊D47—41no—
812C22⋊D47—42no—
813C22⋊D47—42no—
814C22⋊D47—42no—
815C22⋊D47—42no—
816C22⋊D47—42no—
817C22⋊D47—42no—
818C22⋊D47—42no—
819C22⋊D47—42no—
820C22⋊D47—81no—
821C22⋊D47—81no—
822C22⋊D47—81no—
823C22⋊D47—81no—
824C22⋊D47—81no—
825C22⋊D47—81no—
826C22⋊D47—81no—
827C2×Dic47—21no—
828C2×Dic47—21no—
829C2×Dic47—21no—
830C2×Dic47—21no—
831C2×Dic47—21no—
832C2×Dic47—21no—
833C2×Dic47—42no—
834C2×Dic47—42no—
835C2×Dic47—42no—
836C2×Dic47—42no—
837C2×Dic47—81no—
838C2×Dic47—81no—
839C2×Dic47—81no—
840C2×Dic47C22×D411yescharacteristic
841C2×Dic47C22×D411yescharacteristic
842C2×Dic47C22×D411yescharacteristic
843C2×Dic47C22×D411yescharacteristic
844C2×Dic47C22×D411yescharacteristic
845D188—21no—
846D188—21no—
847D188—21no—
848D188—41no—
849D188—41no—
850D188—41no—
851D188—81no—
852D188—81no—
853D188H(5,𝔽2)12yes—
854C4×D47—21no—
855C4×D47—21no—
856C4×D47—21no—
857C4×D47—21no—
858C4×D47—21no—
859C4×D47—21no—
860C4×D47—41no—
861C4×D47—41no—
862C4×D47—42no—
863C4×D47—42no—
864C4×D47—42no—
865C4×D47—81no—
866C4×D47—81no—
867C4×D47—81no—
868C4×D47—81no—
869C4×D47—81no—
870Dic94—21no—
871Dic94—21no—
872Dic94—21no—
873Dic94—21no—
874Dic94—41no—
875Dic94—41no—
876C8×C47—21no—
877C8×C47—21no—
878C8×C47—21no—
879C8×C47—21no—
880C47⋊C8—21no—
881C47⋊C8—21no—
882C47⋊C8—21no—
883C47⋊C8—21no—
884#61678—471nomaximal, Sylow
885C22×C47—21no—
886C22×C47—21no—
887C22×C47—21no—
888C22×C47—21no—
889C22×C47—22no—
890C22×C47—21no—
891C22×C47—21no—
892C22×C47—41no—
893C22×C47—41no—
894C22×C47—41no—
895C22×C47—41no—
896C22×C47—41no—
897C22×C47—41no—
898C22×C47—41no—
899C22×C47—41no—
900C22×C47—41no—
901C22×C47—41no—
902C22×C47—41no—
903C22×C47—162no—
904C22×C47—162no—
905C22×C47C23×D411yescharacteristic
906C2×D47—21no—
907C2×D47—21no—
908C2×D47—21no—
909C2×D47—21no—
910C2×D47—21no—
911C2×D47—21no—
912C2×D47—21no—
913C2×D47—21no—
914C2×D47—21no—
915C2×D47—22no—
916C2×D47—41no—
917C2×D47—41no—
918C2×D47—41no—
919C2×D47—41no—
920C2×D47—41no—
921C2×D47—84no—
922C2×D47—162no—
923C2×D47—162no—
924C2×D47—162no—
925C4×C47—21no—
926C4×C47—21no—
927C4×C47—21no—
928C4×C47—21no—
929C4×C47—41no—
930C4×C47—41no—
931C4×C47—41no—
932C4×C47—41no—
933C4×C47C2×H(5,𝔽2)11yescharacteristic
934C4×C47C2×H(5,𝔽2)11yescharacteristic
935Dic47—21no—
936Dic47—21no—
937Dic47—21no—
938Dic47—21no—
939Dic47—21no—
940Dic47—41no—
941Dic47—41no—
942Dic47—41no—
943Dic47—41no—
944Dic47—41no—
945Dic47—41no—
946#3551—471no—
947#3496—471no—
948#3323—471no—
949#3322—471no—
950#3318—471no—
951#3315—471no—
952#3310—471no—
953#3307—471no—
954#3297—471no—
955#3296—471no—
956#3282—471no—
957#3280—471no—
958#3275—471no—
959#3273—471no—
960#3269—471no—
961#3267—471no—
962#3265D4711yescharacteristic, complemented
963#3264—471no—
964#3219—471no—
965#3212—471no—
966#3204—471no—
967#3203—471no—
968#3201—471no—
969#3198—471no—
970#3114—471no—
971#3105—471no—
972#3012—471no—
973#3012—471no—
974#3009—471no—
975#3008—471no—
976#2981—471no—
977C2×C47—42no—
978C2×C47—41no—
979C2×C47—41no—
980C2×C47—81no—
981C2×C47—81no—
982C2×C47—81no—
983C2×C47#348411yescharacteristic
984C2×C47#358411yescharacteristic
985C2×C47#358511yescharacteristic
986D47—41no—
987D47—41no—
988D47—41no—
989D47—42no—
990D47—81no—
991C2×H(5,𝔽2)—471no—
992C2×H(5,𝔽2)—471no—
993C2×#137—471no—
994C2×AGL(1,ℤ/8)—471no—
995C2×AGL(1,ℤ/8)—471no—
996C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
997C2×#135—471no—
998C2×#135—471no—
999C22×SD16C2×D4711yescharacteristic, complemented
1000C22×D8—471no—
1001#563—941no—
1002#560—941no—
1003#555—941no—
1004#553—471no—
1005#553—471no—
1006#552—471no—
1007#552—471no—
1008#551—941no—
1009#548—471no—
1010#548C2×D4711yescharacteristic, complemented
1011#547—471no—
1012#547—471no—
1013#547—941no—
1014#546—471no—
1015#546—471no—
1016#546—471no—
1017#546—471no—
1018#546—471no—
1019#546—471no—
1020#546—941no—
1021#546—941no—
1022D42—471no—
1023D42—941no—
1024D42C2×D4711yescharacteristic, complemented
1025#540—941no—
1026#540—941no—
1027#538—941no—
1028#538—941no—
1029#537—471no—
1030#537—471no—
1031#537—471no—
1032#537—471no—
1033#536—471no—
1034#535—471no—
1035#534—941no—
1036#534—941no—
1037#532—471no—
1038#532—471no—
1039#529—471no—
1040#529—471no—
1041C2×#121—941no—
1042C2×#121—941no—
1043C2×C4×D4—471no—
1044#497—471no—
1045#496C2×D4711yescharacteristic, complemented
1046#495—471no—
1047#495—471no—
1048#491—471no—
1049#490—471no—
1050#488—471no—
1051#488—471no—
1052#485—471no—
1053#485—471no—
1054#484—471no—
1055#484—471no—
1056#483—471no—
1057#483—471no—
1058#482—471no—
1059#482—471no—
1060#481—471no—
1061#481—471no—
1062#480—471no—
1063#480—471no—
1064#478—471no—
1065#478—471no—
1066#478—471no—
1067#478—471no—
1068#470—471no—
1069#470—471no—
1070#469—471no—
1071#469—471no—
1072#468—471no—
1073#468—471no—
1074#468—471no—
1075#468C2×D4711yescharacteristic, complemented
1076#467—471no—
1077#467—471no—
1078#466—471no—
1079#466C2×D4711yescharacteristic, complemented
1080#465—471no—
1081#465—471no—
1082#465—471no—
1083#465—471no—
1084#464—471no—
1085#464—471no—
1086#463—471no—
1087#463—471no—
1088#463—471no—
1089#463—471no—
1090#463—471no—
1091#463C2×D4711yescharacteristic, complemented
1092#462—471no—
1093#461—471no—
1094#460C2×D4711yescharacteristic, complemented
1095#459—471no—
1096#452—471no—
1097#452—471no—
1098#452—471no—
1099#452—471no—
1100#452—471no—
1101#452—471no—
1102#452—471no—
1103#452—471no—
1104#452—471no—
1105#452—471no—
1106#451—471no—
1107#450—471no—
1108#450—471no—
1109#450—471no—
1110#450—471no—
1111#450—471no—
1112#450—471no—
1113#450C2×D4711yescharacteristic, complemented
1114#449—471no—
1115#449—471no—
1116#449—471no—
1117#449—471no—
1118#449—471no—
1119#449—471no—
1120#449—471no—
1121#449—471no—
1122#449—471no—
1123#449C2×D4711yescharacteristic, complemented
1124#448C2×D4711yescharacteristic, complemented
1125#447—471no—
1126#447—471no—
1127#447—471no—
1128#447—471no—
1129#447—471no—
1130#447—471no—
1131#447C2×D4711yescharacteristic, complemented
1132#442—471no—
1133#442—471no—
1134#440—471no—
1135#440C2×D4711yescharacteristic, complemented
1136C4×SD16—471no—
1137C4×SD16—471no—
1138C4×D8—471no—
1139C4×D8—471no—
1140#436—471no—
1141#436—471no—
1142#435—471no—
1143#435—471no—
1144#435—471no—
1145#435C2×D4711yescharacteristic, complemented
1146C8×D4—471no—
1147C8×D4—471no—
1148#432—471no—
1149#431—471no—
1150#418—471no—
1151#418—471no—
1152#417—471no—
1153#417—471no—
1154#416—471no—
1155#416—471no—
1156C2×#102—471no—
1157C2×#102—471no—
1158#408—471no—
1159#408—471no—
1160#408—471no—
1161#408—471no—
1162C47#6167811yescharacteristic, complemented, Sylow
1163H(5,𝔽2)—1882no—
1164H(5,𝔽2)—1882no—
1165H(5,𝔽2)—1882no—
1166H(5,𝔽2)—1882no—
1167C2×#41—471no—
1168C2×#41—471no—
1169C2×#41—471no—
1170C2×#41—471no—
1171C2×#41—471no—
1172C2×#41—471no—
1173C2×#41—471no—
1174C2×#41—471no—
1175C2×#41—471no—
1176C2×#41—941no—
1177C2×#41—941no—
1178C2×#41C22×D4711yescharacteristic
1179C22×Q8C22×D4711yescharacteristic
1180C22×D4—21no—
1181C22×D4—471no—
1182C22×D4—471no—
1183C22×D4—471no—
1184C22×D4—471no—
1185C22×D4—941no—
1186C22×D4—941no—
1187C22×D4—941no—
1188C22×D4—941no—
1189C22×D4—941no—
1190C22×D4—941no—
1191C22×D4—941no—
1192C22×D4C22×D4711yescharacteristic
1193C22×D4C22×D4711yescharacteristic
1194C23×C4—941no—
1195#137—1882no—
1196AGL(1,ℤ/8)—42no—
1197AGL(1,ℤ/8)—1882no—
1198AGL(1,ℤ/8)—1882no—
1199#135—1882no—
1200#135—1882no—
1201C2×Q16—471no—
1202C2×Q16—471no—
1203C2×Q16—471no—
1204C2×Q16—471no—
1205C2×SD16—42no—
1206C2×SD16—471no—
1207C2×SD16—471no—
1208C2×SD16—471no—
1209C2×SD16—471no—
1210C2×SD16—471no—
1211C2×SD16—471no—
1212C2×SD16C22×D4711yescharacteristic
1213C2×SD16C22×D4711yescharacteristic
1214C2×SD16C22×D4711yescharacteristic
1215C2×SD16C22×D4711yescharacteristic
1216C2×SD16C22×D4711yescharacteristic
1217C2×SD16C22×D4711yescharacteristic
1218C2×D8—471no—
1219C2×D8—471no—
1220C2×D8—471no—
1221C2×D8—471no—
1222C2×D8—471no—
1223C2×D8—1882no—
1224C2×D8C22×D4711yescharacteristic
1225C2×D8C22×D4711yescharacteristic
1226C2×D8C22×D4711yescharacteristic
1227C2×M16—471no—
1228C2×M16—471no—
1229C2×M16—471no—
1230C2×M16C22×D4711yescharacteristic
1231C22×C8—471no—
1232C22×C8—471no—
1233C22×C8—471no—
1234C22×C8C22×D4711yescharacteristic
1235C4⋊Q8—471no—
1236C4⋊Q8—471no—
1237C4⋊Q8—941no—
1238#127—471no—
1239#127—941no—
1240#127C22×D4711yescharacteristic
1241#126—941no—
1242#126—941no—
1243#126—941no—
1244#126—941no—
1245#126—941no—
1246#126—941no—
1247#125—471no—
1248#125—471no—
1249#125—941no—
1250#125—941no—
1251#124—21no—
1252#124—471no—
1253#124—471no—
1254#124—471no—
1255#124—471no—
1256#124—471no—
1257#124—941no—
1258#124—941no—
1259#124—941no—
1260#124C22×D4711yescharacteristic
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—
1273#123—941no—
1274#123—941no—
1275#123—941no—
1276#123—941no—
1277#123—941no—
1278#123—941no—
1279C22⋊Q8—21no—
1280C22⋊Q8—471no—
1281C22⋊Q8—471no—
1282C22⋊Q8—471no—
1283C22⋊Q8—471no—
1284C22⋊Q8—471no—
1285C22⋊Q8—471no—
1286C22⋊Q8—471no—
1287C22⋊Q8—471no—
1288C22⋊Q8—471no—
1289C22⋊Q8—941no—
1290C22⋊Q8—941no—
1291C22⋊Q8—941no—
1292C22⋊Q8—941no—
1293C22⋊Q8—941no—
1294C22⋊Q8C22×D4711yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—471no—
1298#121—471no—
1299#121—471no—
1300#121—471no—
1301#121—471no—
1302#121—471no—
1303#121—471no—
1304#121—471no—
1305#121—471no—
1306#121—471no—
1307#121—471no—
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#121—941no—
1317#121—941no—
1318#121—941no—
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#121C22×D4711yescharacteristic
1335#121C22×D4711yescharacteristic
1336#121C22×D4711yescharacteristic
1337#120—21no—
1338#120—21no—
1339#120—941no—
1340#120—941no—
1341#120—941no—
1342#120—941no—
1343#120—941no—
1344#120—941no—
1345#120—941no—
1346#120—941no—
1347#120—941no—
1348#120—941no—
1349C4×Q8—471no—
1350C4×Q8C22×D4711yescharacteristic
1351C4×D4—21no—
1352C4×D4—471no—
1353C4×D4—471no—
1354C4×D4—471no—
1355C4×D4—471no—
1356C4×D4—471no—
1357C4×D4—471no—
1358C4×D4—471no—
1359C4×D4—471no—
1360C4×D4—941no—
1361C4×D4—941no—
1362C4×D4—941no—
1363C4×D4—941no—
1364C4×D4—941no—
1365C4×D4—941no—
1366C4×D4—941no—
1367C4×D4—941no—
1368C4×D4—941no—
1369C4×D4C22×D4711yescharacteristic
1370C4×D4C22×D4711yescharacteristic
1371#117—471no—
1372#117—471no—
1373#117—941no—
1374#117—941no—
1375#117—941no—
1376#117—941no—
1377C2×C4⋊C4—471no—
1378C2×C4⋊C4—471no—
1379C2×C4⋊C4—471no—
1380C2×C4⋊C4—941no—
1381C2×C4⋊C4—941no—
1382C2×C22⋊C4—941no—
1383C2×C22⋊C4—941no—
1384C2×C22⋊C4—941no—
1385C2×C22⋊C4—941no—
1386C2×C22⋊C4—941no—
1387C2×C22⋊C4—941no—
1388C2×C22⋊C4—941no—
1389C2×C42—471no—
1390#107—471no—
1391#107—471no—
1392#107—471no—
1393#107C22×D4711yescharacteristic
1394#106—471no—
1395#106—471no—
1396#106—471no—
1397#106—471no—
1398C4⋊C8—471no—
1399C4⋊C8—471no—
1400C4⋊C8—471no—
1401C4⋊C8C22×D4711yescharacteristic
1402#103—471no—
1403#103—471no—
1404#103—471no—
1405#103—471no—
1406#103—471no—
1407#103—471no—
1408#103—471no—
1409#103—471no—
1410#103—471no—
1411#103—471no—
1412#103C22×D4711yescharacteristic
1413#103C22×D4711yescharacteristic
1414#102—471no—
1415#102—471no—
1416#102—471no—
1417#102—471no—
1418#102—471no—
1419#102—471no—
1420#102—471no—
1421#102—471no—
1422#102—471no—
1423#102—471no—
1424#102—471no—
1425#102—471no—
1426#102—471no—
1427#102—471no—
1428#102—471no—
1429#102—471no—
1430#102C22×D4711yescharacteristic
1431#102C22×D4711yescharacteristic
1432#102C22×D4711yescharacteristic
1433#102C22×D4711yescharacteristic
1434C22⋊C8—471no—
1435C22⋊C8—471no—
1436C22⋊C8—471no—
1437C22⋊C8—471no—
1438C22⋊C8—471no—
1439C22⋊C8—471no—
1440C22⋊C8—471no—
1441C22⋊C8—471no—
1442C22⋊C8—471no—
1443C22⋊C8—471no—
1444C22⋊C8C22×D4711yescharacteristic
1445C22⋊C8C22×D4711yescharacteristic
1446#97—471no—
1447#97C22×D4711yescharacteristic
1448C4×C8—471no—
1449C4×C8—471no—
1450C24—21no—
1451C24—21no—
1452C24—941no—
1453C24—941no—
1454C24—941no—
1455C24—941no—
1456#41—41no—
1457#41—41no—
1458#41—942no—
1459#41—942no—
1460#41—942no—
1461#41—942no—
1462#41—1881no—
1463#41—1881no—
1464#41—1881no—
1465#41—1881no—
1466#41—1881no—
1467#41—1881no—
1468#41—1881no—
1469#41—1881no—
1470#41—1881no—
1471#41—1881no—
1472#41—1881no—
1473#41—1881no—
1474#41—1881no—
1475#41—1881no—
1476#41—1884no—
1477#41—1884no—
1478C2×Q8—21no—
1479C2×Q8—41no—
1480C2×Q8—41no—
1481C2×Q8—471no—
1482C2×Q8—471no—
1483C2×Q8—471no—
1484C2×Q8—471no—
1485C2×Q8C23×D4711yescharacteristic
1486C2×Q8C23×D4711yescharacteristic
1487C2×D4—22no—
1488C2×D4—22no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—41no—
1498C2×D4—41no—
1499C2×D4—82no—
1500C2×D4—471no—
1501C2×D4—471no—
1502C2×D4—471no—
1503C2×D4—471no—
1504C2×D4—471no—
1505C2×D4—471no—
1506C2×D4—471no—
1507C2×D4—471no—
1508C2×D4—471no—
1509C2×D4—471no—
1510C2×D4—471no—
1511C2×D4—941no—
1512C2×D4—941no—
1513C2×D4—941no—
1514C2×D4—941no—
1515C2×D4—941no—
1516C2×D4—941no—
1517C2×D4—942no—
1518C2×D4—942no—
1519C2×D4—942no—
1520C2×D4—942no—
1521C2×D4—941no—
1522C2×D4—941no—
1523C2×D4—941no—
1524C2×D4—941no—
1525C2×D4—941no—
1526C2×D4—941no—
1527C2×D4—941no—
1528C2×D4—941no—
1529C2×D4—941no—
1530C2×D4—941no—
1531C2×D4—941no—
1532C2×D4—941no—
1533C2×D4—3762no—
1534C2×D4—1881no—
1535C2×D4—1881no—
1536C2×D4—1881no—
1537C2×D4—1881no—
1538C2×D4—1884no—
1539C2×D4—1884no—
1540C2×D4—1884no—
1541C2×D4—1884no—
1542C2×D4—1884no—
1543C2×D4—1884no—
1544C2×D4D4×D4711yescharacteristic
1545C2×D4C23×D4711yescharacteristic
1546C2×D4C23×D4711yescharacteristic
1547C2×D4C23×D4711yescharacteristic
1548C2×D4C23×D4711yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—471no—
1553C22×C4—471no—
1554C22×C4—471no—
1555C22×C4—471no—
1556C22×C4—471no—
1557C22×C4—941no—
1558C22×C4—941no—
1559C22×C4—941no—
1560C22×C4—941no—
1561C22×C4—941no—
1562C22×C4—941no—
1563C22×C4—941no—
1564C22×C4—941no—
1565C22×C4—941no—
1566C22×C4—941no—
1567C22×C4—941no—
1568C22×C4—941no—
1569C22×C4—941no—
1570C22×C4—941no—
1571C22×C4—941no—
1572C22×C4—3762no—
1573C22×C4C23×D4711yescharacteristic
1574C22×C4C23×D4711yescharacteristic
1575Q16—1881no—
1576Q16—1881no—
1577Q16—1881no—
1578Q16—1881no—
1579SD16—22no—
1580SD16—22no—
1581SD16—41no—
1582SD16—41no—
1583SD16—41no—
1584SD16—41no—
1585SD16—942no—
1586SD16—942no—
1587SD16—1881no—
1588SD16—1881no—
1589SD16—1881no—
1590SD16—1881no—
1591D8—22no—
1592D8—41no—
1593D8—41no—
1594D8—942no—
1595D8—942no—
1596D8—942no—
1597D8—1881no—
1598D8—1881no—
1599M16—41no—
1600M16—1881no—
1601M16—1881no—
1602M16—1881no—
1603C2×C8—41no—
1604C2×C8—471no—
1605C2×C8—471no—
1606C2×C8—471no—
1607C2×C8—471no—
1608C2×C8—1881no—
1609C2×C8—1881no—
1610C2×C8—1881no—
1611C2×C8C23×D4711yescharacteristic
1612C2×C8C23×D4711yescharacteristic
1613C2×C8C23×D4711yescharacteristic
1614C2×C8C23×D4711yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—471no—
1618C4⋊C4—471no—
1619C4⋊C4—471no—
1620C4⋊C4—471no—
1621C4⋊C4—471no—
1622C4⋊C4—471no—
1623C4⋊C4—471no—
1624C4⋊C4—941no—
1625C4⋊C4—941no—
1626C4⋊C4—941no—
1627C4⋊C4—941no—
1628C4⋊C4—941no—
1629C4⋊C4—941no—
1630C4⋊C4—941no—
1631C4⋊C4—941no—
1632C4⋊C4—941no—
1633C4⋊C4—941no—
1634C4⋊C4—941no—
1635C4⋊C4—941no—
1636C4⋊C4—941no—
1637C4⋊C4—941no—
1638C4⋊C4—941no—
1639C4⋊C4—941no—
1640C4⋊C4—941no—
1641C4⋊C4—941no—
1642C4⋊C4—941no—
1643C4⋊C4D4×D4711yescharacteristic
1644C4⋊C4C23×D4711yescharacteristic
1645C4⋊C4C23×D4711yescharacteristic
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—471no—
1654C22⋊C4—471no—
1655C22⋊C4—471no—
1656C22⋊C4—471no—
1657C22⋊C4—471no—
1658C22⋊C4—471no—
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⋊C4—941no—
1669C22⋊C4—941no—
1670C22⋊C4—941no—
1671C22⋊C4—941no—
1672C22⋊C4—941no—
1673C22⋊C4—941no—
1674C22⋊C4—941no—
1675C22⋊C4—941no—
1676C22⋊C4—941no—
1677C22⋊C4—941no—
1678C22⋊C4—941no—
1679C22⋊C4—941no—
1680C22⋊C4—941no—
1681C22⋊C4—941no—
1682C22⋊C4—941no—
1683C22⋊C4—941no—
1684C22⋊C4—941no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4D4×D4711yescharacteristic
1689C22⋊C4D4×D4711yescharacteristic
1690C42—21no—
1691C42—471no—
1692C42—471no—
1693C42—471no—
1694C42—941no—
1695C42—941no—
1696C42—941no—
1697C42C23×D4711yescharacteristic
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—42no—
1703C23—42no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—81no—
1708C23—471no—
1709C23—471no—
1710C23—471no—
1711C23—944no—
1712C23—941no—
1713C23—941no—
1714C23—3761no—
1715C23—3761no—
1716C23—3761no—
1717C23—3761no—
1718C23—3761no—
1719C23—3761no—
1720C23—3761no—
1721C23—3761no—
1722C23—3761no—
1723C23—1882no—
1724C23—1882no—
1725C23C2×D4×D4711yescharacteristic
1726C23C2×D4×D4711yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—21no—
1731Q8—81no—
1732Q8—941no—
1733Q8—941no—
1734Q8—941no—
1735Q8—941no—
1736Q8—1881no—
1737Q8—1881no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—41no—
1746D4—42no—
1747D4—42no—
1748D4—42no—
1749D4—81no—
1750D4—81no—
1751D4—81no—
1752D4—81no—
1753D4—81no—
1754D4—472no—
1755D4—944no—
1756D4—941no—
1757D4—941no—
1758D4—941no—
1759D4—3761no—
1760D4—3761no—
1761D4—3761no—
1762D4—3761no—
1763D4—3761no—
1764D4—3761no—
1765D4—3761no—
1766D4—3761no—
1767D4—3761no—
1768D4—1881no—
1769D4—1881no—
1770D4—1881no—
1771D4—1881no—
1772D4—1881no—
1773D4—1881no—
1774D4—1881no—
1775D4—1881no—
1776D4—1881no—
1777D4—1882no—
1778D4—1882no—
1779D4—1882no—
1780D4—1882no—
1781D4—1882no—
1782D4—1882no—
1783D4—1882no—
1784D4—1882no—
1785D4#1309406912yes—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—42no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4—471no—
1798C2×C4—471no—
1799C2×C4—471no—
1800C2×C4—471no—
1801C2×C4—471no—
1802C2×C4—941no—
1803C2×C4—941no—
1804C2×C4—941no—
1805C2×C4—941no—
1806C2×C4—941no—
1807C2×C4—941no—
1808C2×C4—941no—
1809C2×C4—941no—
1810C2×C4—941no—
1811C2×C4—941no—
1812C2×C4—941no—
1813C2×C4—941no—
1814C2×C4—3761no—
1815C2×C4—3761no—
1816C2×C4—3761no—
1817C2×C4—3761no—
1818C2×C4—3761no—
1819C2×C4—3761no—
1820C2×C4—3761no—
1821C2×C4—3761no—
1822C2×C4—1881no—
1823C2×C4—1881no—
1824C2×C4—1882no—
1825C2×C4—1882no—
1826C2×C4—1882no—
1827C2×C4—1882no—
1828C2×C4—1882no—
1829C2×C4—1882no—
1830C2×C4—1882no—
1831C2×C4C2×D4×D4711yescharacteristic
1832C2×C4C2×D4×D4711yescharacteristic
1833C2×C4C2×D4×D4711yescharacteristic
1834C2×C4C2×D4×D4711yescharacteristic
1835C2×C4C24×D4711yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—941no—
1841C8—941no—
1842C8—941no—
1843C8—941no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—22no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—162no—
1863C22—162no—
1864C22—941no—
1865C22—941no—
1866C22—941no—
1867C22—941no—
1868C22—941no—
1869C22—941no—
1870C22—941no—
1871C22—941no—
1872C22—941no—
1873C22—942no—
1874C22—3764no—
1875C22—1881no—
1876C22—1881no—
1877C22—1881no—
1878C22—1881no—
1879C22—1881no—
1880C22—7522no—
1881C22—7522no—
1882C22—7522no—
1883C22C22×D4×D4711yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—941no—
1893C4—941no—
1894C4—941no—
1895C4—941no—
1896C4—941no—
1897C4—1881no—
1898C4—1881no—
1899C4—1881no—
1900C4—1881no—
1901C4—1881no—
1902C4—1881no—
1903C4H(5,𝔽2)×D4711yescharacteristic
1904C4C2×#1309406911yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—42no—
1908C2—81no—
1909C2—81no—
1910C2—81no—
1911C2—3761no—
1912C2—1881no—
1913C2—1881no—
1914C2—1881no—
1915C2—1882no—
1916C2#2025701611yescharacteristic
1917C2#2025816011yescharacteristic
1918C2#2025816411yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3265C2
socleC22×C47C23×D4
hypercenter#3265D47
hypocenterC47#61678
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #20257804C2semidirect
2. #20257144C2semidirect
3. #20255599C2semidirect
4. #20255593C2semidirect
5. #20255529C2semidirect
6. #20255489C2semidirect
7. #20255416C2semidirect
8. #20255366C2semidirect
9. #20255233C2semidirect
10. #20255227C2semidirect
11. #20255095C2semidirect
12. #20255071C2semidirect
13. #20255022C2semidirect
14. #20254993C2semidirect
15. #20254944C2semidirect
16. #20254908C2semidirect
17. #20254867C2semidirect
18. #20254420C2semidirect
19. #20254368C2semidirect
20. #20254297C2semidirect
21. #20254286C2semidirect
22. #20254266C2semidirect
23. #20254233C2semidirect
24. #20253530C2semidirect
25. #20253434C2semidirect
26. #20252693C2semidirect
27. #20252691C2semidirect
28. #20252661C2semidirect
29. #20252651C2semidirect
30. #20252460C2semidirect
31. C47×#3265C2semidirect
33. C2×#13094069C22semidirect
34. C2×#13094055C22semidirect
35. C2×#13094051C22semidirect
36. C2×#13094048C22semidirect
37. C2×#13094045C22semidirect
38. C2×#13094044C22semidirect
39. C2×D8×D47C22semidirect
43. #15689820C22semidirect
44. #15689819C22semidirect
45. #15689815C22semidirect
46. #15689814C22semidirect
48. #15689784C22semidirect
49. #15689778C22semidirect
53. #15689770C22semidirect
55. #15689767C22semidirect
56. #15689766C22semidirect
57. #15689761C22semidirect
66. #15689703C22semidirect
68. #15689702C22semidirect
69. #15689701C22semidirect
70. #15689697C22semidirect
71. #15689689C22semidirect
74. #15689671C22semidirect
76. #15689660C22semidirect
77. #15689652C22semidirect
80. C4×D4×D47C22semidirect
81. #15689518C22semidirect
82. #15689504C22semidirect
83. #15689504C22semidirect
84. #15689492C22semidirect
85. #15689487C22semidirect
86. #15689476C22semidirect
87. #15689476C22semidirect
88. #15689466C22semidirect
89. #15689465C22semidirect
90. #15689460C22semidirect
91. #15689457C22semidirect
92. #15689454C22semidirect
93. #15689452C22semidirect
94. #15689446C22semidirect
95. #15689444C22semidirect
96. #15689440C22semidirect
97. #15689439C22semidirect
98. #15689438C22semidirect
99. #15689435C22semidirect
100. #15689426C22semidirect
101. #15689425C22semidirect
102. #15689424C22semidirect
103. #15689423C22semidirect
104. #15689380C22semidirect
105. #15689380C22semidirect
106. #15689374C22semidirect
107. #15689373C22semidirect
108. #15689369C22semidirect
109. #15689367C22semidirect
110. #15689366C22semidirect
111. #15689363C22semidirect
112. #15689362C22semidirect
113. #15689357C22semidirect
114. #15689352C22semidirect
115. #15689351C22semidirect
116. #15689349C22semidirect
117. #15689349C22semidirect
118. #15689343C22semidirect
119. #15689343C22semidirect
120. #15689341C22semidirect
121. #15689340C22semidirect
122. #15689336C22semidirect
123. #15689336C22semidirect
124. #15689335C22semidirect
125. #15689333C22semidirect
126. #15689329C22semidirect
127. #15689315C22semidirect
128. #15689288C22semidirect
129. #15689285C22semidirect
130. #15689283C22semidirect
131. #15689282C22semidirect
132. #15689282C22semidirect
133. #15689282C22semidirect
134. #15689282C22semidirect
135. #15689282C22semidirect
136. #15689282C22semidirect
137. #15689282C22semidirect
138. #15689279C22semidirect
139. #15689275C22semidirect
140. #15689272C22semidirect
141. #15689272C22semidirect
142. #15689272C22semidirect
143. #15689272C22semidirect
144. #15689272C22semidirect
145. #15689270C22semidirect
146. #15689270C22semidirect
147. #15689269C22semidirect
148. #15689269C22semidirect
149. #15689267C22semidirect
150. #15689266C22semidirect
151. #15689265C22semidirect
152. #15689265C22semidirect
153. #15689265C22semidirect
155. #15689257C22semidirect
156. #15689257C22semidirect
158. #15689255C22semidirect
159. #15689255C22semidirect
160. #15689236C22semidirect
161. #15689233C22semidirect
162. #15689221C22semidirect
163. SD16×Dic47C22semidirect
164. #15689208C22semidirect
165. D8×Dic47C22semidirect
166. #15689203C22semidirect
167. #15689199C22semidirect
168. #15689198C22semidirect
169. #15689196C22semidirect
170. #15689195C22semidirect
171. #15689193C22semidirect
172. C8×C22⋊D47C22semidirect
173. (C22⋊D47)⋊C8C22semidirect
174. #15689178C22semidirect
175. #15689175C22semidirect
176. #15689128C22semidirect
177. #15689126C22semidirect
178. #15689125C22semidirect
179. #15689121C22semidirect
180. #15689120C22semidirect
181. #15689116C22semidirect
182. C2×#13093945C22semidirect
183. #102×D47C22semidirect
184. #15689091C22semidirect
185. #15689089C22semidirect
186. #15689088C22semidirect
187. #15689088C22semidirect
188. C2×AGL(1,ℤ/8)×C47C22semidirect
189. C22×SD16×C47C22semidirect
190. C47×#548C22semidirect
191. D42×C47C22semidirect
192. C47×#496C22semidirect
193. C47×#468C22semidirect
194. C47×#466C22semidirect
195. C47×#463C22semidirect
196. C47×#460C22semidirect
197. C47×#450C22semidirect
198. C47×#449C22semidirect
199. C47×#448C22semidirect
200. C47×#447C22semidirect
201. C47×#440C22semidirect
202. C47×#435C22semidirect
962. #3265D47semidirect
996. C2×AGL(1,ℤ/8)C2×D47semidirect
999. C22×SD16C2×D47semidirect
1010. #548C2×D47semidirect
1024. D42C2×D47semidirect
1045. #496C2×D47semidirect
1075. #468C2×D47semidirect
1079. #466C2×D47semidirect
1091. #463C2×D47semidirect
1094. #460C2×D47semidirect
1113. #450C2×D47semidirect
1123. #449C2×D47semidirect
1124. #448C2×D47semidirect
1131. #447C2×D47semidirect
1135. #440C2×D47semidirect
1145. #435C2×D47semidirect
1162. C47#61678semidirect

Maximal subgroups

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

subgroupindex
#202578042
#202571442
#202555992
#202555932
#202555292
#202554892
#202554162
#202553662
#202552332
#202552272
#202550952
#202550712
#202550222
#202549932
#202549442
#202549082
#202548672
#202544202
#202543682
#202542972
#202542862
#202542662
#202542332
#202535302
#202534342
#202526932
#202526912
#202526612
#202526512
#202524602
C47×#32652
#6167847