Finite Group Databasebeta

← #27102509

Subgroups — #27102509

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#20257708C211yesmaximal, characteristic, complemented
2#20257057C211yesmaximal, characteristic, complemented
3#20255548C211yesmaximal, characteristic, complemented
4#20255405C211yesmaximal, characteristic, complemented
5#20255398C211yesmaximal, characteristic, complemented
6#20255375C211yesmaximal, characteristic, complemented
7#20255331C211yesmaximal, characteristic, complemented
8#20255271C211yesmaximal, characteristic, complemented
9#20255231C211yesmaximal, characteristic, complemented
10#20255197C211yesmaximal, characteristic, complemented
11#20255141C211yesmaximal, characteristic, complemented
12#20255095C211yesmaximal, characteristic, complemented
13#20255071C211yesmaximal, characteristic, complemented
14D8×C22⋊D47C211yesmaximal, characteristic, complemented
15#20254932C211yesmaximal, characteristic, complemented
16#20254921C211yesmaximal, characteristic, complemented
17#20254883C211yesmaximal, characteristic, complemented
18#20254868C211yesmaximal, characteristic, complemented
19#20254480C211yesmaximal, characteristic, complemented
20#20254436C211yesmaximal, characteristic, complemented
21#20254287C211yesmaximal, characteristic, complemented
22#20254239C211yesmaximal, characteristic, complemented
23#20254155C211yesmaximal, characteristic, complemented
24#20254136C211yesmaximal, characteristic, complemented
25#20253643C211yesmaximal, characteristic, complemented
26#20253588C211yesmaximal, characteristic, complemented
27#20252690C211yesmaximal, characteristic, complemented
28#20252653C211yesmaximal, characteristic, complemented
29#20252606C211yesmaximal, characteristic, complemented
30#20252442C211yesmaximal, characteristic, complemented
31C2×C47×#449C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic, complemented
33C2×#13094051C2211yescharacteristic, complemented
34C2×#13094048C2211yescharacteristic, complemented
35C2×#13094045C2211yescharacteristic, complemented
36C2×#13094044C2211yescharacteristic, complemented
37C2×#13094044C2211yescharacteristic, complemented
38C2×D8×D47C2211yescharacteristic, complemented
39#15689868—21no—
40#15689861—21no—
41#15689837C2211yescharacteristic, complemented
42#15689820C2211yescharacteristic, complemented
43#15689808C2211yescharacteristic, complemented
44#15689799—21no—
45#15689792C2211yescharacteristic, complemented
46#15689792C2211yescharacteristic, complemented
47#15689791C2211yescharacteristic, complemented
48#15689784C2211yescharacteristic
49#15689784C2211yescharacteristic, complemented
50#15689774C2211yescharacteristic, complemented
51#15689770C2211yescharacteristic, complemented
52#15689767C2211yescharacteristic, complemented
53#15689763—21no—
54#15689761—21no—
55#15689761—21no—
56#15689761C2211yescharacteristic, complemented
57#15689761C2211yescharacteristic, complemented
58D4×C22⋊D47—21no—
59D4×C22⋊D47—21no—
60D4×C22⋊D47C2211yescharacteristic
61D4×C22⋊D47C2211yescharacteristic, complemented
62D4×C22⋊D47C2211yescharacteristic, complemented
63#15689740C2211yescharacteristic, complemented
64#15689726C2211yescharacteristic, complemented
65#15689723—21no—
66#15689705—21no—
67#15689702C2211yescharacteristic, complemented
68#15689701—21no—
69#15689701C2211yescharacteristic, complemented
70#15689690—21no—
71#15689689C2211yescharacteristic, complemented
72#15689687—21no—
73#15689687C2211yescharacteristic, complemented
74#15689682—21no—
75#15689634—21no—
76#15689634C2211yescharacteristic
77#15689634C2211yescharacteristic, complemented
78C2×#13093998—21no—
79C2×#13093998C2211yescharacteristic, complemented
80#15689606C2211yescharacteristic, complemented
81#15689511C2211yescharacteristic, complemented
82#15689509C2211yescharacteristic, complemented
83#15689504C2211yescharacteristic, complemented
84#15689498C2211yescharacteristic, complemented
85#15689486C2211yescharacteristic, complemented
86#15689484C2211yescharacteristic, complemented
87#15689479C2211yescharacteristic, complemented
88#15689468C2211yescharacteristic, complemented
89#15689462C2211yescharacteristic, complemented
90#15689459C2211yescharacteristic, complemented
91#15689457C2211yescharacteristic, complemented
92#15689448C2211yescharacteristic, complemented
93#15689448C2211yescharacteristic, complemented
94#15689446C2211yescharacteristic, complemented
95#15689442C2211yescharacteristic, complemented
96#15689436C2211yescharacteristic, complemented
97#15689436C2211yescharacteristic, complemented
98#15689435C2211yescharacteristic, complemented
99#15689434C2211yescharacteristic, complemented
100#15689434C2211yescharacteristic, complemented
101#15689428C2211yescharacteristic, complemented
102#15689425C2211yescharacteristic, complemented
103#15689416C2211yescharacteristic, complemented
104#15689401C2211yescharacteristic, complemented
105#15689373C2211yescharacteristic, complemented
106#15689372C2211yescharacteristic, complemented
107#15689368C2211yescharacteristic, complemented
108#15689366C2211yescharacteristic, complemented
109#15689363C2211yescharacteristic, complemented
110#15689359C2211yescharacteristic, complemented
111#15689359C2211yescharacteristic, complemented
112#15689358C2211yescharacteristic, complemented
113#15689357C2211yescharacteristic, complemented
114#15689357C2211yescharacteristic, complemented
115#15689357C2211yescharacteristic, complemented
116#15689357C2211yescharacteristic, complemented
117#15689356C2211yescharacteristic, complemented
118#15689352C2211yescharacteristic, complemented
119#15689352C2211yescharacteristic, complemented
120#15689349C2211yescharacteristic, complemented
121#15689348C2211yescharacteristic, complemented
122#15689343C2211yescharacteristic, complemented
123#15689341C2211yescharacteristic, complemented
124#15689340C2211yescharacteristic, complemented
125#15689340C2211yescharacteristic, complemented
126#15689336C2211yescharacteristic, complemented
127#15689322C2211yescharacteristic, complemented
128#15689321C2211yescharacteristic, complemented
129#15689317C2211yescharacteristic, complemented
130#15689316C2211yescharacteristic, complemented
131#15689316C2211yescharacteristic, complemented
132#15689316C2211yescharacteristic, complemented
133#15689288C2211yescharacteristic, complemented
134#15689285C2211yescharacteristic, complemented
135#15689285C2211yescharacteristic, complemented
136#15689282C2211yescharacteristic, complemented
137#15689279C2211yescharacteristic, complemented
138#15689276C2211yescharacteristic, complemented
139#15689275C2211yescharacteristic, complemented
140#15689274C2211yescharacteristic, complemented
141#15689272C2211yescharacteristic, complemented
142#15689271C2211yescharacteristic, complemented
143#15689270C2211yescharacteristic, complemented
144#15689270C2211yescharacteristic, complemented
145#15689268C2211yescharacteristic, complemented
146#15689268C2211yescharacteristic, complemented
147#15689267C2211yescharacteristic, complemented
148#15689267C2211yescharacteristic, complemented
149#15689265C2211yescharacteristic, complemented
150#15689262C2211yescharacteristic, complemented
151#15689259C2211yescharacteristic, complemented
152#15689258C2211yescharacteristic, complemented
153#15689257C2211yescharacteristic, complemented
154#15689257C2211yescharacteristic, complemented
155#15689257C2211yescharacteristic, complemented
156#15689256C2211yescharacteristic, complemented
157#15689256C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689255C2211yescharacteristic, complemented
161#15689235C2211yescharacteristic, complemented
162#15689226C2211yescharacteristic, complemented
163#15689224C2211yescharacteristic, complemented
164#15689220C2211yescharacteristic, complemented
165#15689215C2211yescharacteristic, complemented
166SD16×Dic47C2211yescharacteristic, complemented
167D8×Dic47C2211yescharacteristic, complemented
168#15689203C2211yescharacteristic, complemented
169#15689194C2211yescharacteristic, complemented
170#15689194C2211yescharacteristic, complemented
171#15689191C2211yescharacteristic, complemented
172#15689191C2211yescharacteristic, complemented
173C8×C22⋊D47C2211yescharacteristic, complemented
174C8×C22⋊D47C2211yescharacteristic, complemented
175(C22⋊D47)⋊C8C2211yescharacteristic, complemented
176(C22⋊D47)⋊C8C2211yescharacteristic, complemented
177#15689181C2211yescharacteristic, complemented
178#15689181C2211yescharacteristic, complemented
179#15689126C2211yescharacteristic, complemented
180#15689123C2211yescharacteristic, complemented
181#15689119C2211yescharacteristic, complemented
182#15689119C2211yescharacteristic, complemented
183#15689118C2211yescharacteristic, complemented
184#102×D47C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186#15689088C2211yescharacteristic, complemented
187C2×C22⋊(C47⋊C8)C2211yescharacteristic, complemented
188C22×#41×C47C2211yescharacteristic, complemented
189C22×SD16×C47C2211yescharacteristic, complemented
190C22×D8×C47C2211yescharacteristic, complemented
191C2×#121×C47C2211yescharacteristic, complemented
192C47×#449C2211yescharacteristic
193C47×#449C2211yescharacteristic, complemented
194C47×#449C2211yescharacteristic, complemented
195C47×#449C2211yescharacteristic, complemented
196C47×#449C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic, complemented
198C47×#449C2211yescharacteristic, complemented
199C47×#449C2211yescharacteristic, complemented
200C2×#103×C47C2211yescharacteristic, complemented
201C2×#102×C47C2211yescharacteristic, complemented
202C2×C22⋊C8×C47C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625354C2311yescharacteristic
207C2×#10625350—21no—
208C2×#10625350—21no—
209C2×#10625350C2311yescharacteristic
210C2×#10625350C2311yescharacteristic
211C2×#10625352C2311yescharacteristic
212C22×D188—21no—
213C22×D188C2311yescharacteristic
214C22×C22⋊D47—21no—
215C22×C22⋊D47—21no—
216C22×C22⋊D47—21no—
217C22×C22⋊D47—21no—
218C2×D4×D47—21no—
219C2×D4×D47—21no—
220C2×D4×D47C2311yescharacteristic
221C2×D4×D47C2311yescharacteristic
222C2×D4×D47C2311yescharacteristic
223#13094051—42no—
224#13094048—42no—
225#13094045—42no—
226#13094044—42no—
227#13094044—42no—
228C2×#10625337C2311yescharacteristic
229C2×#10625337C2311yescharacteristic
230C2×#10625325C2311yescharacteristic
231C2×#10625325C2311yescharacteristic
232C2×#10625335C2311yescharacteristic
233C2×#10625335C2311yescharacteristic
234C2×#10625336C2311yescharacteristic
235C2×#10625336C2311yescharacteristic
236C2×D376C2311yescharacteristic
237C2×D376C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239C2×#10625334C2311yescharacteristic
240C2×#10625334C2311yescharacteristic
241C2×#10625334C2311yescharacteristic
242C2×#10625334C2311yescharacteristic
243C2×#10625334C2311yescharacteristic
244D8×D47—42no—
245C2×#10625324C2311yescharacteristic
246C2×#10625324C2311yescharacteristic
247C22×C47⋊C8C2311yescharacteristic
248C22×C47⋊C8C2311yescharacteristic
249C2×C8×D47C2311yescharacteristic
250C2×C8×D47C2311yescharacteristic
251#13094023C2311yescharacteristic
252#13094020—21no—
253#13094020—21no—
254#13094020—21no—
255#13094020—21no—
256#13094020C2311yescharacteristic
257#13094020C2311yescharacteristic
258#13094020C2311yescharacteristic
259#13094019—21no—
260#13094017—21no—
261#13094017—21no—
262#13094015C2311yescharacteristic
263#13094014—21no—
264#13094013—21no—
265#13094013—21no—
266#13094013C2311yescharacteristic
267#13094013C2311yescharacteristic
268#13094011—21no—
269#13094011—21no—
270#13094011C2311yescharacteristic
271#13094010—21no—
272#13094010—21no—
273#13094009—21no—
274#13094008—21no—
275#13094007—21no—
276#13094007—21no—
277#13094007—21no—
278#13094007—21no—
279#13094007—21no—
280#13094007D411yescharacteristic
281#13094007D411yescharacteristic
282#13094006—21no—
283#13094006—21no—
284#13094005—21no—
285#13094005—21no—
286#13094005—21no—
287#13094004C2311yescharacteristic
288#13094003—21no—
289#13094003D411yescharacteristic
290#13094003D411yescharacteristic
291#13094003C2311yescharacteristic
292#13094003C2311yescharacteristic
293#13094002—21no—
294#13094001—21no—
295#13094001—21no—
296#13094000—21no—
297#13094000—21no—
298#13094000C2311yescharacteristic
299#13094000C2311yescharacteristic
300#13093999C2311yescharacteristic
301#13093998—21no—
302#13093998—21no—
303#13093998—21no—
304#13093998—21no—
305#13093998—21no—
306#13093998—21no—
307#13093998—21no—
308#13093998—21no—
309#13093998—21no—
310#13093998D411yescharacteristic
311#13093998D411yescharacteristic
312#13093998C2311yescharacteristic
313#13093998C2311yescharacteristic
314#13093998C2311yescharacteristic
315#13093998C2311yescharacteristic
316#13093998C2311yescharacteristic
317#13093998C2311yescharacteristic
318#13093997—21no—
319#13093997—21no—
320#13093996—21no—
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#13093995—21no—
333#13093995—21no—
334#13093995—21no—
335#13093995—21no—
336#13093995—21no—
337#13093995—21no—
338#13093995C2311yescharacteristic
339#13093995C2311yescharacteristic
340#13093995C2311yescharacteristic
341#13093995C2311yescharacteristic
342#13093994—21no—
343#13093993—21no—
344#13093993—21no—
345#13093993—21no—
346#13093993—21no—
347#13093993—21no—
348#13093993D411yescharacteristic
349#13093993D411yescharacteristic
350#13093992—21no—
351#13093992—21no—
352#13093992—21no—
353#13093992—21no—
354#13093992—21no—
355#13093992—21no—
356#13093992—21no—
357#13093992—21no—
358#13093992—21no—
359Q8×Dic47C2311yescharacteristic
360Q8×Dic47C2311yescharacteristic
361#13093989C2311yescharacteristic
362D4×Dic47—21no—
363D4×Dic47—21no—
364D4×Dic47C2311yescharacteristic
365D4×Dic47C2311yescharacteristic
366D4×Dic47C2311yescharacteristic
367D4×Dic47C2311yescharacteristic
368#13093986C2311yescharacteristic
369C4×C22⋊D47—21no—
370C4×C22⋊D47—21no—
371C4×C22⋊D47—21no—
372C4×C22⋊D47—21no—
373C4×C22⋊D47—21no—
374C4×C22⋊D47—21no—
375C4×C22⋊D47C2311yescharacteristic
376C4×C22⋊D47C2311yescharacteristic
377C4×C22⋊D47C2311yescharacteristic
378C4×C22⋊D47C2311yescharacteristic
379(C22⋊D47)⋊C4—21no—
380(C22⋊D47)⋊C4—21no—
381#13093983—21no—
382#13093983—21no—
383#13093983C2311yescharacteristic
384#13093983C2311yescharacteristic
385#13093982C2311yescharacteristic
386#13093980—21no—
387C2×C4⋊Dic47—21no—
388C2×C4⋊Dic47C2311yescharacteristic
389C4⋊C4×D47C2311yescharacteristic
390C2×C22⋊Dic47—21no—
391C2×(C2×D47)⋊C4—21no—
392C2×(C2×D47)⋊C4—21no—
393C2×(C2×D47)⋊C4—21no—
394C22⋊C4×D47—21no—
395#13093958C2311yescharacteristic
396#13093958C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093957C2311yescharacteristic
400#13093957C2311yescharacteristic
401#13093956C2311yescharacteristic
402#13093956C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093946C2311yescharacteristic
414#13093946C2311yescharacteristic
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#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431C22⋊(C47⋊C8)C2311yescharacteristic
432C22⋊(C47⋊C8)C2311yescharacteristic
433C22⋊(C47⋊C8)C2311yescharacteristic
434C22⋊(C47⋊C8)C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439#13093934C2311yescharacteristic
440#13093934C2311yescharacteristic
441C8×Dic47C2311yescharacteristic
442C8×Dic47C2311yescharacteristic
443C2×#41×C47—21no—
444C2×#41×C47—21no—
445C2×#41×C47—42no—
446C2×#41×C47—42no—
447C2×#41×C47C2311yescharacteristic
448C2×#41×C47C2311yescharacteristic
449C2×#41×C47C2311yescharacteristic
450C2×#41×C47C2311yescharacteristic
451C22×Q8×C47C2311yescharacteristic
452C22×D4×C47—21no—
453C22×D4×C47—21no—
454C22×D4×C47C2311yescharacteristic
455C22×D4×C47C2311yescharacteristic
456C23×C4×C47—21no—
457C23×C4×C47C2311yescharacteristic
458C2×SD16×C47—42no—
459C2×SD16×C47C2311yescharacteristic
460C2×SD16×C47C2311yescharacteristic
461C2×SD16×C47C2311yescharacteristic
462C2×SD16×C47C2311yescharacteristic
463C2×D8×C47—42no—
464C2×D8×C47C2311yescharacteristic
465C2×D8×C47C2311yescharacteristic
466C2×D8×C47C2311yescharacteristic
467C2×D8×C47C2311yescharacteristic
468C22×C8×C47C2311yescharacteristic
469C22×C8×C47C2311yescharacteristic
470#121×C47—21no—
471#121×C47—21no—
472#121×C47C2311yescharacteristic
473#121×C47C2311yescharacteristic
474#121×C47C2311yescharacteristic
475#121×C47C2311yescharacteristic
476C2×C4⋊C4×C47C2311yescharacteristic
477C2×C22⋊C4×C47—21no—
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#103×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486C22⋊C8×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C22⋊C8×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47—21no—
492C24×C47C2×D411yescharacteristic
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47—21no—
497#41×C47—22no—
498#41×C47—22no—
499#41×C47—22no—
500#41×C47—22no—
501#41×C47—41no—
502#41×C47—41no—
503#41×C47—41no—
504#41×C47—41no—
505#41×C47—44no—
506#41×C47—44no—
507C2×Q8×C47—21no—
508C2×Q8×C47—22no—
509C2×Q8×C47—41no—
510C2×Q8×C47C2411yescharacteristic
511C2×Q8×C47C2411yescharacteristic
512C2×D4×C47—21no—
513C2×D4×C47—22no—
514C2×D4×C47—21no—
515C2×D4×C47—21no—
516C2×D4×C47—21no—
517C2×D4×C47—21no—
518C2×D4×C47—21no—
519C2×D4×C47—21no—
520C2×D4×C47—21no—
521C2×D4×C47—21no—
522C2×D4×C47—21no—
523C2×D4×C47—41no—
524C2×D4×C47—41no—
525C2×D4×C47—41no—
526C2×D4×C47—44no—
527C2×D4×C47—82no—
528C2×D4×C47C2411yescharacteristic
529C2×D4×C47C2411yescharacteristic
530C2×D4×C47C2411yescharacteristic
531C2×D4×C47C2411yescharacteristic
532C22×C4×C47—21no—
533C22×C4×C47—21no—
534C22×C4×C47—21no—
535C22×C4×C47—21no—
536C22×C4×C47—21no—
537C22×C4×C47—21no—
538C22×C4×C47—41no—
539C22×C4×C47—41no—
540C22×C4×C47—44no—
541C22×C4×C47C2×D411yescharacteristic
542C22×C4×C47C2×D411yescharacteristic
543C22×C4×C47C2×D411yescharacteristic
544C22×C4×C47C2411yescharacteristic
545C22×C4×C47C2411yescharacteristic
546C22×C4×C47C2411yescharacteristic
547C2×C22⋊D47—21no—
548C2×C22⋊D47—21no—
549C2×C22⋊D47—21no—
550C2×C22⋊D47—21no—
551C2×C22⋊D47—21no—
552C2×C22⋊D47—21no—
553C2×C22⋊D47—21no—
554C2×C22⋊D47—21no—
555C2×C22⋊D47—21no—
556C2×C22⋊D47—21no—
557C2×C22⋊D47—21no—
558C2×C22⋊D47—21no—
559C2×C22⋊D47—21no—
560C2×C22⋊D47—21no—
561C2×C22⋊D47—21no—
562C2×C22⋊D47—21no—
563C2×C22⋊D47—21no—
564C2×C22⋊D47—21no—
565C2×C22⋊D47—21no—
566C2×C22⋊D47—21no—
567C2×C22⋊D47—21no—
568C2×C22⋊D47—82no—
569C2×C22⋊D47—82no—
570C2×C22⋊D47—82no—
571C2×C22⋊D47—82no—
572C2×C22⋊D47C2×D411yescharacteristic
573C2×C22⋊D47C2×D411yescharacteristic
574C2×C22⋊D47C2×D411yescharacteristic
575C2×C22⋊D47C2×D411yescharacteristic
576C2×C22⋊D47C2×D411yescharacteristic
577C2×C22⋊D47C2×D411yescharacteristic
578C22×Dic47—21no—
579C22×Dic47—21no—
580C22×Dic47—21no—
581C22×Dic47—21no—
582C22×Dic47—21no—
583C22×Dic47—21no—
584#10625354—22no—
585#10625354—22no—
586#10625354—41no—
587#10625354—41no—
588#10625352—41no—
589#10625352—41no—
590D4×D47—22no—
591D4×D47—22no—
592D4×D47—41no—
593D4×D47—41no—
594D4×D47—41no—
595D4×D47—41no—
596D4×D47—44no—
597D4×D47—44no—
598#10625350—41no—
599#10625350—41no—
600#10625350—41no—
601#10625350—41no—
602#10625350—44no—
603#10625350—82no—
604C2×D188—21no—
605C2×D188—21no—
606C2×D188—21no—
607C2×D188—21no—
608C2×D188—41no—
609C2×D188—41no—
610C2×D188—44no—
611C2×D188C2×D411yescharacteristic
612C2×D188C2411yescharacteristic
613C2×D188C2411yescharacteristic
614C2×D188C2411yescharacteristic
615C2×C4×D47—21no—
616C2×C4×D47—21no—
617C2×C4×D47—21no—
618C2×C4×D47—21no—
619C2×C4×D47—21no—
620C2×C4×D47C2411yescharacteristic
621C2×C4×D47C2411yescharacteristic
622C2×Dic94—21no—
623C2×Dic94C2×D411yescharacteristic
624C2×Dic94C2411yescharacteristic
625SD16×C47—22no—
626SD16×C47—22no—
627SD16×C47—41no—
628SD16×C47—41no—
629D8×C47—22no—
630D8×C47—22no—
631D8×C47—41no—
632D8×C47—41no—
633C2×C8×C47—41no—
634C2×C8×C47—41no—
635C2×C8×C47C2411yescharacteristic
636C2×C8×C47C2411yescharacteristic
637C2×C8×C47C2411yescharacteristic
638C2×C8×C47C2411yescharacteristic
639C4⋊C4×C47—21no—
640C4⋊C4×C47C2411yescharacteristic
641C4⋊C4×C47C2411yescharacteristic
642C22⋊C4×C47—21no—
643C22⋊C4×C47—21no—
644C22⋊C4×C47—21no—
645C22⋊C4×C47—21no—
646C22⋊Dic47—21no—
647C22⋊Dic47—21no—
648C22⋊Dic47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47—21no—
653C22⋊Dic47—21no—
654C22⋊Dic47—21no—
655C22⋊Dic47—21no—
656C22⋊Dic47—21no—
657C22⋊Dic47—21no—
658C22⋊Dic47—21no—
659C22⋊Dic47C2×D411yescharacteristic
660C22⋊Dic47C2×D411yescharacteristic
661C22⋊Dic47C2×D411yescharacteristic
662C22⋊Dic47C2×D411yescharacteristic
663C22⋊Dic47C2×D411yescharacteristic
664C22⋊Dic47C2×D411yescharacteristic
665#10625337—22no—
666#10625337—41no—
667#10625336—22no—
668#10625336—41no—
669#10625335—22no—
670#10625335—41no—
671#10625334—22no—
672#10625334—41no—
673#10625334—41no—
674#10625334—41no—
675#10625334—41no—
676#10625334—41no—
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)⋊C4—21no—
690(C2×D47)⋊C4—21no—
691(C2×D47)⋊C4—21no—
692(C2×D47)⋊C4—21no—
693(C2×D47)⋊C4C2×D411yescharacteristic
694(C2×D47)⋊C4C2×D411yescharacteristic
695(C2×D47)⋊C4C2×D411yescharacteristic
696(C2×D47)⋊C4C2×D411yescharacteristic
697C4⋊Dic47—21no—
698C4⋊Dic47—21no—
699C4⋊Dic47—21no—
700C4⋊Dic47—21no—
701C4⋊Dic47—21no—
702C4⋊Dic47C2×D411yescharacteristic
703C4⋊Dic47C2×D411yescharacteristic
704C4⋊Dic47C2411yescharacteristic
705C4⋊Dic47C2411yescharacteristic
706C4⋊Dic47C2411yescharacteristic
707C4⋊Dic47C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
717Dic47⋊C4C2×D411yescharacteristic
718Dic47⋊C4C2×D411yescharacteristic
719Dic47⋊C4C2×D411yescharacteristic
720C4×Dic47—21no—
721C4×Dic47—21no—
722C4×Dic47—21no—
723C4×Dic47—21no—
724C4×Dic47—21no—
725C4×Dic47C2411yescharacteristic
726C4×Dic47C2411yescharacteristic
727C2×C47⋊C8—41no—
728C2×C47⋊C8—41no—
729C2×C47⋊C8C2411yescharacteristic
730C2×C47⋊C8C2411yescharacteristic
731C2×C47⋊C8C2411yescharacteristic
732C2×C47⋊C8C2411yescharacteristic
733D376—41no—
734D376—41no—
735#10625325—41no—
736#10625325—41no—
737#10625324—41no—
738#10625324—41no—
739C8×D47—41no—
740C8×D47—41no—
741C23×C47—21no—
742C23×C47—22no—
743C23×C47—21no—
744C23×C47—21no—
745C23×C47—21no—
746C23×C47—41no—
747C23×C47—41no—
748C23×C47—42no—
749C23×C47—42no—
750C23×C47—42no—
751C23×C47—81no—
752C23×C47—81no—
753C23×C47—81no—
754C23×C47C22×D411yescharacteristic
755C23×C47C22×D411yescharacteristic
756C23×C47C22×D411yescharacteristic
757C22×D47—21no—
758C22×D47—21no—
759C22×D47—21no—
760C22×D47—42no—
761C22×D47—42no—
762C22×D47—42no—
763C22×D47—81no—
764C22×D47—81no—
765C22×D47—81no—
766C22×D47—81no—
767C22×D47—81no—
768C22×D47—81no—
769C22×D47—81no—
770C22×D47—81no—
771C22×D47—81no—
772C22×D47C22×D411yescharacteristic
773C22×D47C22×D411yescharacteristic
774Q8×C47—21no—
775Q8×C47—21no—
776Q8×C47—21no—
777Q8×C47—42no—
778Q8×C47H(5,𝔽2)12yes—
779D4×C47—24no—
780D4×C47—21no—
781D4×C47—21no—
782D4×C47—21no—
783D4×C47—21no—
784D4×C47—21no—
785D4×C47—21no—
786D4×C47—21no—
787D4×C47—42no—
788D4×C47—42no—
789D4×C47—42no—
790D4×C47—42no—
791D4×C47—81no—
792D4×C47—81no—
793D4×C47—81no—
794D4×C47—81no—
795D4×C47—81no—
796D4×C47H(5,𝔽2)12yes—
797C2×C4×C47—24no—
798C2×C4×C47—21no—
799C2×C4×C47—21no—
800C2×C4×C47—21no—
801C2×C4×C47—21no—
802C2×C4×C47—21no—
803C2×C4×C47—21no—
804C2×C4×C47—21no—
805C2×C4×C47—21no—
806C2×C4×C47—21no—
807C2×C4×C47—21no—
808C2×C4×C47—41no—
809C2×C4×C47—41no—
810C2×C4×C47—41no—
811C2×C4×C47—42no—
812C2×C4×C47—42no—
813C2×C4×C47—42no—
814C2×C4×C47—42no—
815C2×C4×C47—42no—
816C2×C4×C47C22×D411yescharacteristic
817C2×C4×C47C22×D411yescharacteristic
818C2×C4×C47C22×D411yescharacteristic
819C2×C4×C47C2511yescharacteristic
820C22⋊D47—22no—
821C22⋊D47—22no—
822C22⋊D47—41no—
823C22⋊D47—41no—
824C22⋊D47—41no—
825C22⋊D47—41no—
826C22⋊D47—42no—
827C22⋊D47—42no—
828C22⋊D47—42no—
829C22⋊D47—42no—
830C22⋊D47—42no—
831C22⋊D47—81no—
832C22⋊D47—81no—
833C22⋊D47—81no—
834C22⋊D47—81no—
835C22⋊D47—81no—
836C22⋊D47—81no—
837C22⋊D47—81no—
838C22⋊D47—81no—
839C22⋊D47—81no—
840C22⋊D47—81no—
841C22⋊D47—81no—
842C22⋊D47—81no—
843C22⋊D47—81no—
844C22⋊D47—81no—
845C22⋊D47—81no—
846C22⋊D47—81no—
847C2×Dic47—21no—
848C2×Dic47—21no—
849C2×Dic47—21no—
850C2×Dic47—21no—
851C2×Dic47—21no—
852C2×Dic47—81no—
853C2×Dic47—81no—
854C2×Dic47—81no—
855C2×Dic47—81no—
856C2×Dic47—81no—
857C2×Dic47—81no—
858C2×Dic47C22×D411yescharacteristic
859C2×Dic47C22×D411yescharacteristic
860C2×Dic47C22×D411yescharacteristic
861C2×Dic47C22×D411yescharacteristic
862C2×Dic47C22×D411yescharacteristic
863C2×Dic47C22×D411yescharacteristic
864D188—21no—
865D188—21no—
866D188—21no—
867D188—21no—
868D188—21no—
869D188—21no—
870D188—41no—
871D188—42no—
872D188—42no—
873D188—42no—
874D188—81no—
875C4×D47—21no—
876C4×D47—21no—
877C4×D47—21no—
878C4×D47—21no—
879C4×D47—42no—
880C4×D47—42no—
881C4×D47—81no—
882C4×D47—81no—
883C4×D47—81no—
884Dic94—21no—
885Dic94—21no—
886Dic94—41no—
887Dic94—81no—
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—21no—
901C22×C47—21no—
902C22×C47—22no—
903C22×C47—21no—
904C22×C47—21no—
905C22×C47—21no—
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—82no—
918C22×C47—84no—
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—41no—
929C2×D47—41no—
930C2×D47—41no—
931C2×D47—41no—
932C2×D47—41no—
933C2×D47—41no—
934C2×D47—41no—
935C2×D47—41no—
936C2×D47—41no—
937C2×D47—162no—
938C2×D47—162no—
939C2×D47—162no—
940C2×D47—162no—
941C4×C47—21no—
942C4×C47—22no—
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—21no—
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#3264—471no—
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×#449D4711yescharacteristic, complemented
991#2977—471no—
992C2×C47—22no—
993C2×C47—41no—
994C2×C47—42no—
995C2×C47—41no—
996C2×C47—81no—
997C2×C47—81no—
998C2×C47—81no—
999C2×C47#348411yescharacteristic
1000C2×C47C2×#57611yescharacteristic
1001C2×C47#358411yescharacteristic
1002D47—41no—
1003D47—41no—
1004D47—81no—
1005D47—81no—
1006D47—81no—
1007C2×H(5,𝔽2)—471no—
1008C22×#41C2×D4711yescharacteristic, complemented
1009C2×AGL(1,ℤ/8)—471no—
1010C2×AGL(1,ℤ/8)—471no—
1011C2×#135—471no—
1012C2×#135—471no—
1013C2×#135—471no—
1014C22×SD16C2×D4711yescharacteristic, complemented
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—471no—
1033#546—941no—
1034#546—941no—
1035#546—941no—
1036D42—471no—
1037D42—471no—
1038D42—471no—
1039D42—941no—
1040D42—941no—
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—941no—
1058C2×#121C2×D4711yescharacteristic, complemented
1059#520—471no—
1060#496—471no—
1061#496—471no—
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#469—471no—
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#465—471no—
1100#464—471no—
1101#464—471no—
1102#463—471no—
1103#463—471no—
1104#463—471no—
1105#463—471no—
1106#460—471no—
1107#460—471no—
1108#459—471no—
1109#459—471no—
1110#459—471no—
1111#459—471no—
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#450—471no—
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#449C2×D4711yescharacteristic
1130#449C2×D4711yescharacteristic, complemented
1131#449C2×D4711yescharacteristic, complemented
1132#449C2×D4711yescharacteristic, complemented
1133#449C2×D4711yescharacteristic, complemented
1134#449C2×D4711yescharacteristic, complemented
1135#449C2×D4711yescharacteristic, complemented
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#447—471no—
1147#447—471no—
1148#442—471no—
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#435—471no—
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×#103C2×D4711yescharacteristic, complemented
1172C2×#102—471no—
1173C2×#102C2×D4711yescharacteristic, complemented
1174#408—471no—
1175#408—471no—
1176C2×C22⋊C8—471no—
1177C2×C22⋊C8C2×D4711yescharacteristic, complemented
1178C47#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—1882no—
1180H(5,𝔽2)—1882no—
1181C2×#41—21no—
1182C2×#41—21no—
1183C2×#41—42no—
1184C2×#41—42no—
1185C2×#41—471no—
1186C2×#41—471no—
1187C2×#41—471no—
1188C2×#41—471no—
1189C2×#41—471no—
1190C2×#41—941no—
1191C2×#41—941no—
1192C2×#41C22×D4711yescharacteristic
1193C2×#41C22×D4711yescharacteristic
1194C2×#41C22×D4711yescharacteristic
1195C2×#41C22×D4711yescharacteristic
1196C22×Q8C22×D4711yescharacteristic
1197C22×D4—21no—
1198C22×D4—21no—
1199C22×D4—471no—
1200C22×D4—471no—
1201C22×D4—471no—
1202C22×D4—471no—
1203C22×D4—941no—
1204C22×D4—941no—
1205C22×D4—941no—
1206C22×D4—941no—
1207C22×D4—941no—
1208C22×D4—941no—
1209C22×D4—941no—
1210C22×D4C22×D4711yescharacteristic
1211C22×D4C22×D4711yescharacteristic
1212C23×C4—21no—
1213C23×C4C22×D4711yescharacteristic
1214AGL(1,ℤ/8)—1882no—
1215AGL(1,ℤ/8)—1882no—
1216#135—1882no—
1217#135—1882no—
1218#135—1882no—
1219C2×Q16—471no—
1220C2×Q16—471no—
1221C2×SD16—42no—
1222C2×SD16—471no—
1223C2×SD16—471no—
1224C2×SD16—471no—
1225C2×SD16—471no—
1226C2×SD16—471no—
1227C2×SD16—471no—
1228C2×SD16C22×D4711yescharacteristic
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—471no—
1240C2×D8—471no—
1241C2×D8—1882no—
1242C2×D8C22×D4711yescharacteristic
1243C2×D8C22×D4711yescharacteristic
1244C2×D8C22×D4711yescharacteristic
1245C2×D8C22×D4711yescharacteristic
1246C2×M16—471no—
1247C2×M16—471no—
1248C22×C8—471no—
1249C22×C8—471no—
1250C22×C8—471no—
1251C22×C8—471no—
1252C22×C8C22×D4711yescharacteristic
1253C22×C8C22×D4711yescharacteristic
1254C4⋊Q8—471no—
1255#127—471no—
1256#127—471no—
1257#127—471no—
1258#127—941no—
1259#127—941no—
1260#127—941no—
1261#127—941no—
1262#126—941no—
1263#126—941no—
1264#126—941no—
1265#125—471no—
1266#125—941no—
1267#124—471no—
1268#124—471no—
1269#124—471no—
1270#124—941no—
1271#124—941no—
1272#124—941no—
1273#124—941no—
1274#124—941no—
1275#124—941no—
1276#123—471no—
1277#123—471no—
1278#123—941no—
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—471no—
1297C22⋊Q8—941no—
1298C22⋊Q8—941no—
1299C22⋊Q8—941no—
1300C22⋊Q8—941no—
1301C22⋊Q8—941no—
1302C22⋊Q8—941no—
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—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#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#121C22×D4711yescharacteristic
1348#121C22×D4711yescharacteristic
1349#121C22×D4711yescharacteristic
1350#121C22×D4711yescharacteristic
1351#120—471no—
1352#120—471no—
1353#120—941no—
1354#120—941no—
1355#120—941no—
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—471no—
1378C4×D4—471no—
1379C4×D4—471no—
1380C4×D4—941no—
1381C4×D4—941no—
1382C4×D4—941no—
1383C4×D4—941no—
1384C4×D4—941no—
1385C4×D4—941no—
1386C4×D4—941no—
1387C4×D4—941no—
1388C4×D4—941no—
1389C4×D4—941no—
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—941no—
1399C2×C4⋊C4C22×D4711yescharacteristic
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#106—471no—
1414C4⋊C8—471no—
1415C4⋊C8—471no—
1416C4⋊C8—471no—
1417C4⋊C8—471no—
1418#103—471no—
1419#103—471no—
1420#103—471no—
1421#103—471no—
1422#103—471no—
1423#103—471no—
1424#103C22×D4711yescharacteristic
1425#103C22×D4711yescharacteristic
1426#103C22×D4711yescharacteristic
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#102—471no—
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⋊C8C22×D4711yescharacteristic
1459C22⋊C8C22×D4711yescharacteristic
1460C22⋊C8C22×D4711yescharacteristic
1461C22⋊C8C22×D4711yescharacteristic
1462#97—471no—
1463#97—471no—
1464C4×C8—471no—
1465C4×C8—471no—
1466C24—21no—
1467C24—21no—
1468C24—941no—
1469C24—941no—
1470C24—941no—
1471C24—941no—
1472C24D4×D4711yescharacteristic
1473#41—22no—
1474#41—22no—
1475#41—22no—
1476#41—22no—
1477#41—41no—
1478#41—41no—
1479#41—41no—
1480#41—41no—
1481#41—44no—
1482#41—44no—
1483#41—942no—
1484#41—942no—
1485#41—3762no—
1486#41—1881no—
1487#41—1881no—
1488#41—1881no—
1489#41—1881no—
1490#41—1884no—
1491#41—1881no—
1492#41—1881no—
1493#41—1881no—
1494#41—1881no—
1495C2×Q8—21no—
1496C2×Q8—22no—
1497C2×Q8—41no—
1498C2×Q8—471no—
1499C2×Q8—471no—
1500C2×Q8—941no—
1501C2×Q8C23×D4711yescharacteristic
1502C2×Q8C23×D4711yescharacteristic
1503C2×D4—21no—
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—44no—
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—471no—
1528C2×D4—471no—
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—941no—
1539C2×D4—941no—
1540C2×D4—941no—
1541C2×D4—942no—
1542C2×D4—942no—
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—941no—
1555C2×D4—941no—
1556C2×D4—3762no—
1557C2×D4—3762no—
1558C2×D4—3762no—
1559C2×D4—3762no—
1560C2×D4—1881no—
1561C2×D4—1881no—
1562C2×D4—1884no—
1563C2×D4—1881no—
1564C2×D4—1881no—
1565C2×D4—1881no—
1566C2×D4—1881no—
1567C2×D4—1884no—
1568C2×D4—1884no—
1569C2×D4C23×D4711yescharacteristic
1570C2×D4C23×D4711yescharacteristic
1571C2×D4C23×D4711yescharacteristic
1572C2×D4C23×D4711yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—21no—
1579C22×C4—41no—
1580C22×C4—41no—
1581C22×C4—44no—
1582C22×C4—471no—
1583C22×C4—471no—
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×C4D4×D4711yescharacteristic
1596C22×C4D4×D4711yescharacteristic
1597C22×C4D4×D4711yescharacteristic
1598C22×C4C23×D4711yescharacteristic
1599C22×C4C23×D4711yescharacteristic
1600C22×C4C23×D4711yescharacteristic
1601Q16—942no—
1602Q16—1881no—
1603SD16—22no—
1604SD16—22no—
1605SD16—41no—
1606SD16—41no—
1607SD16—942no—
1608SD16—942no—
1609SD16—1881no—
1610SD16—1881no—
1611SD16—1881no—
1612SD16—1881no—
1613D8—22no—
1614D8—22no—
1615D8—41no—
1616D8—41no—
1617D8—942no—
1618D8—1881no—
1619D8—1881no—
1620D8—1881no—
1621D8—1881no—
1622D8—1881no—
1623D8—1881no—
1624D8—1881no—
1625M16—1881no—
1626M16—1881no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—471no—
1630C2×C8—471no—
1631C2×C8—471no—
1632C2×C8—471no—
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—471no—
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⋊C4—941no—
1665C4⋊C4C23×D4711yescharacteristic
1666C4⋊C4C23×D4711yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—471no—
1672C22⋊C4—471no—
1673C22⋊C4—471no—
1674C22⋊C4—471no—
1675C22⋊C4—471no—
1676C22⋊C4—471no—
1677C22⋊C4—471no—
1678C22⋊C4—471no—
1679C22⋊C4—471no—
1680C22⋊C4—471no—
1681C22⋊C4—941no—
1682C22⋊C4—941no—
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⋊C4—941no—
1709C22⋊C4—941no—
1710C42—471no—
1711C42—471no—
1712C42—941no—
1713C42—941no—
1714C42—941no—
1715C42—941no—
1716C42—941no—
1717C23—21no—
1718C23—22no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—41no—
1723C23—41no—
1724C23—42no—
1725C23—42no—
1726C23—42no—
1727C23—81no—
1728C23—81no—
1729C23—81no—
1730C23—471no—
1731C23—471no—
1732C23—941no—
1733C23—941no—
1734C23—941no—
1735C23—3761no—
1736C23—3761no—
1737C23—3761no—
1738C23—3761no—
1739C23—3761no—
1740C23—3761no—
1741C23—3761no—
1742C23—3761no—
1743C23—3761no—
1744C23—1882no—
1745C23—1882no—
1746C23—1882no—
1747C23C2×D4×D4711yescharacteristic
1748C23C2×D4×D4711yescharacteristic
1749C23C2×D4×D4711yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—42no—
1754Q8—941no—
1755Q8—941no—
1756Q8—3761no—
1757Q8—1881no—
1758Q8#1309406912yes—
1759D4—24no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—42no—
1768D4—42no—
1769D4—42no—
1770D4—42no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—942no—
1777D4—942no—
1778D4—941no—
1779D4—941no—
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—3761no—
1801D4—1881no—
1802D4—1882no—
1803D4—1882no—
1804D4—1882no—
1805D4—1881no—
1806D4—1881no—
1807D4—1881no—
1808D4—1881no—
1809D4—1882no—
1810D4—1882no—
1811D4—1882no—
1812D4—1882no—
1813D4—1882no—
1814D4#1309406912yes—
1815C2×C4—24no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—41no—
1827C2×C4—41no—
1828C2×C4—41no—
1829C2×C4—42no—
1830C2×C4—42no—
1831C2×C4—42no—
1832C2×C4—42no—
1833C2×C4—42no—
1834C2×C4—471no—
1835C2×C4—471no—
1836C2×C4—471no—
1837C2×C4—471no—
1838C2×C4—471no—
1839C2×C4—471no—
1840C2×C4—941no—
1841C2×C4—941no—
1842C2×C4—941no—
1843C2×C4—941no—
1844C2×C4—941no—
1845C2×C4—941no—
1846C2×C4—941no—
1847C2×C4—941no—
1848C2×C4—941no—
1849C2×C4—3761no—
1850C2×C4—3761no—
1851C2×C4—3761no—
1852C2×C4—3761no—
1853C2×C4—3761no—
1854C2×C4—3761no—
1855C2×C4—3761no—
1856C2×C4—3761no—
1857C2×C4—3761no—
1858C2×C4—1882no—
1859C2×C4—1882no—
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—21no—
1878C22—21no—
1879C22—22no—
1880C22—21no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—82no—
1893C22—84no—
1894C22—162no—
1895C22—941no—
1896C22—941no—
1897C22—941no—
1898C22—941no—
1899C22—941no—
1900C22—941no—
1901C22—1881no—
1902C22—1881no—
1903C22—1881no—
1904C22—1881no—
1905C22—1881no—
1906C22—1881no—
1907C22—1881no—
1908C22—1881no—
1909C22—1881no—
1910C22—7522no—
1911C22—7522no—
1912C22—7522no—
1913C22—7522no—
1914C22#1568992712yes—
1915C22C22×D4×D4711yescharacteristic
1916C4—21no—
1917C4—22no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—941no—
1924C4—941no—
1925C4—941no—
1926C4—941no—
1927C4—941no—
1928C4—941no—
1929C4—1881no—
1930C4—1881no—
1931C4—1881no—
1932C4—1881no—
1933C4—1881no—
1934C4C2×#1309406911yescharacteristic
1935C4C2×#1309406911yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—41no—
1939C2—42no—
1940C2—81no—
1941C2—81no—
1942C2—81no—
1943C2—3761no—
1944C2—3761no—
1945C2—3761no—
1946C2—1881no—
1947C2—1881no—
1948C2#2025701711yescharacteristic
1949C2C2×#1568992711yescharacteristic
1950C2#2025815711yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#449C2
socleC22×C47C23×D4
hypercenterC2×#449D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#449

Complements

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

NH ≅ G/Ntype
1. #20257708C2semidirect
2. #20257057C2semidirect
3. #20255548C2semidirect
4. #20255405C2semidirect
5. #20255398C2semidirect
6. #20255375C2semidirect
7. #20255331C2semidirect
8. #20255271C2semidirect
9. #20255231C2semidirect
10. #20255197C2semidirect
11. #20255141C2semidirect
12. #20255095C2semidirect
13. #20255071C2semidirect
14. D8×C22⋊D47C2semidirect
15. #20254932C2semidirect
16. #20254921C2semidirect
17. #20254883C2semidirect
18. #20254868C2semidirect
19. #20254480C2semidirect
20. #20254436C2semidirect
21. #20254287C2semidirect
22. #20254239C2semidirect
23. #20254155C2semidirect
24. #20254136C2semidirect
25. #20253643C2semidirect
26. #20253588C2semidirect
27. #20252690C2semidirect
28. #20252653C2semidirect
29. #20252606C2semidirect
30. #20252442C2semidirect
31. C2×C47×#449C2semidirect
32. C2×#13094070C22semidirect
33. C2×#13094051C22semidirect
34. C2×#13094048C22semidirect
35. C2×#13094045C22semidirect
36. C2×#13094044C22semidirect
37. C2×#13094044C22semidirect
38. C2×D8×D47C22semidirect
41. #15689837C22semidirect
42. #15689820C22semidirect
43. #15689808C22semidirect
45. #15689792C22semidirect
46. #15689792C22semidirect
47. #15689791C22semidirect
49. #15689784C22semidirect
50. #15689774C22semidirect
51. #15689770C22semidirect
52. #15689767C22semidirect
56. #15689761C22semidirect
57. #15689761C22semidirect
61. D4×C22⋊D47C22semidirect
62. D4×C22⋊D47C22semidirect
63. #15689740C22semidirect
64. #15689726C22semidirect
67. #15689702C22semidirect
69. #15689701C22semidirect
71. #15689689C22semidirect
73. #15689687C22semidirect
77. #15689634C22semidirect
79. C2×#13093998C22semidirect
80. #15689606C22semidirect
81. #15689511C22semidirect
82. #15689509C22semidirect
83. #15689504C22semidirect
84. #15689498C22semidirect
85. #15689486C22semidirect
86. #15689484C22semidirect
87. #15689479C22semidirect
88. #15689468C22semidirect
89. #15689462C22semidirect
90. #15689459C22semidirect
91. #15689457C22semidirect
92. #15689448C22semidirect
93. #15689448C22semidirect
94. #15689446C22semidirect
95. #15689442C22semidirect
96. #15689436C22semidirect
97. #15689436C22semidirect
98. #15689435C22semidirect
99. #15689434C22semidirect
100. #15689434C22semidirect
101. #15689428C22semidirect
102. #15689425C22semidirect
103. #15689416C22semidirect
104. #15689401C22semidirect
105. #15689373C22semidirect
106. #15689372C22semidirect
107. #15689368C22semidirect
108. #15689366C22semidirect
109. #15689363C22semidirect
110. #15689359C22semidirect
111. #15689359C22semidirect
112. #15689358C22semidirect
113. #15689357C22semidirect
114. #15689357C22semidirect
115. #15689357C22semidirect
116. #15689357C22semidirect
117. #15689356C22semidirect
118. #15689352C22semidirect
119. #15689352C22semidirect
120. #15689349C22semidirect
121. #15689348C22semidirect
122. #15689343C22semidirect
123. #15689341C22semidirect
124. #15689340C22semidirect
125. #15689340C22semidirect
126. #15689336C22semidirect
127. #15689322C22semidirect
128. #15689321C22semidirect
129. #15689317C22semidirect
130. #15689316C22semidirect
131. #15689316C22semidirect
132. #15689316C22semidirect
133. #15689288C22semidirect
134. #15689285C22semidirect
135. #15689285C22semidirect
136. #15689282C22semidirect
137. #15689279C22semidirect
138. #15689276C22semidirect
139. #15689275C22semidirect
140. #15689274C22semidirect
141. #15689272C22semidirect
142. #15689271C22semidirect
143. #15689270C22semidirect
144. #15689270C22semidirect
145. #15689268C22semidirect
146. #15689268C22semidirect
147. #15689267C22semidirect
148. #15689267C22semidirect
149. #15689265C22semidirect
150. #15689262C22semidirect
151. #15689259C22semidirect
152. #15689258C22semidirect
153. #15689257C22semidirect
154. #15689257C22semidirect
155. #15689257C22semidirect
156. #15689256C22semidirect
157. #15689256C22semidirect
158. #15689255C22semidirect
159. #15689255C22semidirect
160. #15689255C22semidirect
161. #15689235C22semidirect
162. #15689226C22semidirect
163. #15689224C22semidirect
164. #15689220C22semidirect
165. #15689215C22semidirect
166. SD16×Dic47C22semidirect
167. D8×Dic47C22semidirect
168. #15689203C22semidirect
169. #15689194C22semidirect
170. #15689194C22semidirect
171. #15689191C22semidirect
172. #15689191C22semidirect
173. C8×C22⋊D47C22semidirect
174. C8×C22⋊D47C22semidirect
175. (C22⋊D47)⋊C8C22semidirect
176. (C22⋊D47)⋊C8C22semidirect
177. #15689181C22semidirect
178. #15689181C22semidirect
179. #15689126C22semidirect
180. #15689123C22semidirect
181. #15689119C22semidirect
182. #15689119C22semidirect
183. #15689118C22semidirect
184. #102×D47C22semidirect
185. #15689088C22semidirect
186. #15689088C22semidirect
187. C2×C22⋊(C47⋊C8)C22semidirect
188. C22×#41×C47C22semidirect
189. C22×SD16×C47C22semidirect
190. C22×D8×C47C22semidirect
191. C2×#121×C47C22semidirect
193. C47×#449C22semidirect
194. C47×#449C22semidirect
195. C47×#449C22semidirect
196. C47×#449C22semidirect
197. C47×#449C22semidirect
198. C47×#449C22semidirect
199. C47×#449C22semidirect
200. C2×#103×C47C22semidirect
201. C2×#102×C47C22semidirect
202. C2×C22⋊C8×C47C22semidirect
990. C2×#449D47semidirect
1008. C22×#41C2×D47semidirect
1014. C22×SD16C2×D47semidirect
1016. C22×D8C2×D47semidirect
1058. C2×#121C2×D47semidirect
1130. #449C2×D47semidirect
1131. #449C2×D47semidirect
1132. #449C2×D47semidirect
1133. #449C2×D47semidirect
1134. #449C2×D47semidirect
1135. #449C2×D47semidirect
1136. #449C2×D47semidirect
1171. C2×#103C2×D47semidirect
1173. C2×#102C2×D47semidirect
1177. C2×C22⋊C8C2×D47semidirect
1178. C47#61639semidirect

Maximal subgroups

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

subgroupindex
#202577082
#202570572
#202555482
#202554052
#202553982
#202553752
#202553312
#202552712
#202552312
#202551972
#202551412
#202550952
#202550712
D8×C22⋊D472
#202549322
#202549212
#202548832
#202548682
#202544802
#202544362
#202542872
#202542392
#202541552
#202541362
#202536432
#202535882
#202526902
#202526532
#202526062
#202524422
C2×C47×#4492
#6163947