Finite Group Databasebeta

← #27102525

Subgroups — #27102525

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#20257696C211yesmaximal, characteristic, complemented
2#20257057C211yesmaximal, characteristic, complemented
3#20255540C211yesmaximal, characteristic, complemented
4#20255413C211yesmaximal, characteristic, complemented
5#20255390C211yesmaximal, characteristic, complemented
6#20255383C211yesmaximal, characteristic, complemented
7#20255334C211yesmaximal, characteristic, complemented
8#20255279C211yesmaximal, characteristic, complemented
9#20255239C211yesmaximal, characteristic, complemented
10#20255194C211yesmaximal, characteristic, complemented
11#20255142C211yesmaximal, characteristic, complemented
12#20255088C211yesmaximal, characteristic, complemented
13#20255067C211yesmaximal, characteristic, complemented
14#20255058C211yesmaximal, characteristic, complemented
15#20254928C211yesmaximal, characteristic, complemented
16#20254928C211yesmaximal, characteristic, complemented
17#20254876C211yesmaximal, characteristic, complemented
18#20254872C211yesmaximal, characteristic, complemented
19#20254488C211yesmaximal, characteristic, complemented
20#20254436C211yesmaximal, characteristic, complemented
21#20254289C211yesmaximal, characteristic, complemented
22#20254237C211yesmaximal, characteristic, complemented
23#20254149C211yesmaximal, characteristic, complemented
24#20254139C211yesmaximal, characteristic, complemented
25#20253651C211yesmaximal, characteristic, complemented
26#20253580C211yesmaximal, characteristic, complemented
27#20252696C211yesmaximal, characteristic, complemented
28#20252653C211yesmaximal, characteristic, complemented
29C2×#15689268C211yesmaximal, characteristic, complemented
30#20252442C211yesmaximal, characteristic, complemented
31C47×#3002C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic, complemented
33C2×#13094051C2211yescharacteristic, complemented
34C2×#13094051C2211yescharacteristic, complemented
35C2×#13094047C2211yescharacteristic, complemented
36C22×#10625336C2211yescharacteristic, complemented
37C22×#10625334C2211yescharacteristic, complemented
38C2×D8×D47C2211yescharacteristic, complemented
39#15689870—21no—
40#15689863—21no—
41#15689836C2211yescharacteristic, complemented
42#15689817C2211yescharacteristic, complemented
43#15689815C2211yescharacteristic, complemented
44#15689802—21no—
45#15689792C2211yescharacteristic, complemented
46#15689792C2211yescharacteristic, complemented
47#15689792C2211yescharacteristic, complemented
48#15689784C2211yescharacteristic
49#15689784C2211yescharacteristic, complemented
50#15689773C2211yescharacteristic, complemented
51#15689768—21no—
52#15689764C2211yescharacteristic, complemented
53#15689761—21no—
54#15689761—21no—
55#15689761C2211yescharacteristic, complemented
56#15689761C2211yescharacteristic, complemented
57#15689761C2211yescharacteristic, complemented
58#15689757C2211yescharacteristic, complemented
59D4×C22⋊D47—21no—
60D4×C22⋊D47—21no—
61D4×C22⋊D47C2211yescharacteristic
62D4×C22⋊D47C2211yescharacteristic, complemented
63#15689746C2211yescharacteristic, complemented
64#15689726C2211yescharacteristic, complemented
65#15689724—21no—
66#15689706—21no—
67#15689703C2211yescharacteristic, complemented
68#15689701—21no—
69#15689701C2211yescharacteristic, complemented
70#15689689C2211yescharacteristic, complemented
71#15689688—21no—
72#15689687—21no—
73#15689687C2211yescharacteristic, complemented
74#15689683—21no—
75#15689634—21no—
76#15689634C2211yescharacteristic
77C2×#13093998—21no—
78C2×#13093998C2211yescharacteristic, complemented
79C2×#13093998C2211yescharacteristic, complemented
80#15689606C2211yescharacteristic, complemented
81#15689509C2211yescharacteristic, complemented
82#15689509C2211yescharacteristic, complemented
83#15689508C2211yescharacteristic, complemented
84#15689498C2211yescharacteristic, complemented
85#15689486C2211yescharacteristic, complemented
86#15689484C2211yescharacteristic, complemented
87#15689479C2211yescharacteristic, complemented
88#15689468C2211yescharacteristic, complemented
89#15689463C2211yescharacteristic, complemented
90#15689457C2211yescharacteristic, complemented
91#15689456C2211yescharacteristic, complemented
92#15689447C2211yescharacteristic, complemented
93#15689447C2211yescharacteristic, complemented
94#15689445C2211yescharacteristic, complemented
95#15689439C2211yescharacteristic, complemented
96#15689437C2211yescharacteristic, complemented
97#15689437C2211yescharacteristic, complemented
98#15689437C2211yescharacteristic, complemented
99#15689437C2211yescharacteristic, complemented
100#15689435C2211yescharacteristic, complemented
101#15689432C2211yescharacteristic, complemented
102#15689421C2211yescharacteristic, complemented
103#15689416C2211yescharacteristic, complemented
104#15689401C2211yescharacteristic, complemented
105#15689375C2211yescharacteristic, complemented
106#15689372C2211yescharacteristic, complemented
107#15689366C2211yescharacteristic, complemented
108#15689366C2211yescharacteristic, complemented
109#15689361C2211yescharacteristic, complemented
110#15689359C2211yescharacteristic, complemented
111#15689359C2211yescharacteristic, complemented
112#15689359C2211yescharacteristic, complemented
113#15689359C2211yescharacteristic, complemented
114#15689358C2211yescharacteristic, complemented
115#15689357C2211yescharacteristic, complemented
116#15689357C2211yescharacteristic, complemented
117#15689356C2211yescharacteristic, complemented
118#15689355C2211yescharacteristic, complemented
119#15689354C2211yescharacteristic, complemented
120#15689354C2211yescharacteristic, complemented
121#15689347C2211yescharacteristic, complemented
122#15689347C2211yescharacteristic, complemented
123#15689341C2211yescharacteristic, complemented
124#15689341C2211yescharacteristic, complemented
125#15689340C2211yescharacteristic, complemented
126#15689340C2211yescharacteristic, complemented
127#15689321C2211yescharacteristic, complemented
128#15689321C2211yescharacteristic, complemented
129#15689317C2211yescharacteristic, complemented
130#15689317C2211yescharacteristic, complemented
131#15689316C2211yescharacteristic, complemented
132#15689316C2211yescharacteristic, complemented
133#15689284C2211yescharacteristic, complemented
134#15689284C2211yescharacteristic, complemented
135#15689273C2211yescharacteristic, complemented
136#15689272C2211yescharacteristic, complemented
137#15689272C2211yescharacteristic, complemented
138#15689271C2211yescharacteristic, complemented
139#15689271C2211yescharacteristic, complemented
140#15689268C2211yescharacteristic
141#15689268C2211yescharacteristic, complemented
142#15689268C2211yescharacteristic, complemented
143#15689268C2211yescharacteristic, complemented
144#15689268C2211yescharacteristic, complemented
145#15689268C2211yescharacteristic, complemented
146#15689268C2211yescharacteristic, complemented
147#15689268C2211yescharacteristic, complemented
148#15689268C2211yescharacteristic, complemented
149#15689268C2211yescharacteristic, complemented
150#15689267C2211yescharacteristic, complemented
151#15689267C2211yescharacteristic, complemented
152#15689259C2211yescharacteristic, complemented
153#15689259C2211yescharacteristic, complemented
154#15689259C2211yescharacteristic, complemented
155#15689259C2211yescharacteristic, complemented
156#15689258C2211yescharacteristic, complemented
157#15689258C2211yescharacteristic, complemented
158#15689256C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689255C2211yescharacteristic, complemented
161#15689232C2211yescharacteristic, complemented
162#15689226C2211yescharacteristic, complemented
163#15689224C2211yescharacteristic, complemented
164#15689224C2211yescharacteristic, complemented
165Q16×Dic47C2211yescharacteristic, complemented
166#15689208C2211yescharacteristic, 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#15689118C2211yescharacteristic, complemented
182C2×#13093948C2211yescharacteristic, complemented
183C2×#13093945C2211yescharacteristic, complemented
184#102×D47C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186#15689088C2211yescharacteristic, complemented
187C2×C22⋊(C47⋊C8)C2211yescharacteristic, complemented
188C22×#41×C47C2211yescharacteristic, complemented
189C2×#135×C47C2211yescharacteristic, complemented
190C2×#135×C47C2211yescharacteristic, complemented
191C47×#525C2211yescharacteristic, complemented
192C47×#452C2211yescharacteristic, complemented
193C47×#452C2211yescharacteristic, complemented
194C47×#451C2211yescharacteristic, complemented
195C47×#450C2211yescharacteristic, complemented
196C47×#449C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic, complemented
198C47×#448C2211yescharacteristic, complemented
199C47×#447C2211yescharacteristic, complemented
200C47×#416C2211yescharacteristic, complemented
201C47×#416C2211yescharacteristic, complemented
202C2×C22⋊C8×C47C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625354C2311yescharacteristic
207C2×#10625354C2311yescharacteristic
208C2×#10625350—21no—
209C2×#10625350C2311yescharacteristic
210C2×#10625352—21no—
211C22×D188—21no—
212C22×D188C2311yescharacteristic
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×D47—21no—
221C2×D4×D47C2311yescharacteristic
222C2×D4×D47C2311yescharacteristic
223C2×D4×D47C2311yescharacteristic
224#13094051—42no—
225#13094051—42no—
226#13094047—42no—
227C2×#10625336—42no—
228C2×#10625336C2311yescharacteristic
229C2×#10625336C2311yescharacteristic
230C2×#10625336C2311yescharacteristic
231C2×#10625336C2311yescharacteristic
232C2×#10625336C2311yescharacteristic
233C2×#10625336C2311yescharacteristic
234C2×D376C2311yescharacteristic
235C2×D376C2311yescharacteristic
236C2×D376C2311yescharacteristic
237C2×D376C2311yescharacteristic
238C2×#10625334—42no—
239C2×#10625334C2311yescharacteristic
240C2×#10625334C2311yescharacteristic
241C2×#10625334C2311yescharacteristic
242C2×#10625334C2311yescharacteristic
243C2×#10625334C2311yescharacteristic
244C2×#10625334C2311yescharacteristic
245D8×D47—42no—
246C2×#10625324C2311yescharacteristic
247C2×#10625324C2311yescharacteristic
248C22×C47⋊C8C2311yescharacteristic
249C22×C47⋊C8C2311yescharacteristic
250C2×C8×D47C2311yescharacteristic
251C2×C8×D47C2311yescharacteristic
252#13094023C2311yescharacteristic
253#13094020—21no—
254#13094020—21no—
255#13094020—21no—
256#13094020—21no—
257#13094020C2311yescharacteristic
258#13094020C2311yescharacteristic
259#13094020C2311yescharacteristic
260#13094019—21no—
261#13094019—21no—
262#13094018—21no—
263#13094015—21no—
264#13094015C2311yescharacteristic
265#13094013—21no—
266#13094013—21no—
267#13094013C2311yescharacteristic
268#13094013C2311yescharacteristic
269#13094013C2311yescharacteristic
270#13094012—21no—
271#13094010—21no—
272#13094010—21no—
273#13094010—21no—
274#13094009—21no—
275#13094008—21no—
276#13094008—21no—
277#13094007—21no—
278#13094007—21no—
279#13094007—21no—
280#13094007D411yescharacteristic
281#13094007D411yescharacteristic
282#13094006—21no—
283#13094006—21no—
284#13094006—21no—
285#13094006—21no—
286#13094005—21no—
287#13094004—21no—
288#13094003—21no—
289#13094003D411yescharacteristic
290#13094003D411yescharacteristic
291#13094002—21no—
292#13094001—21no—
293#13094000—21no—
294#13094000—21no—
295#13094000C2311yescharacteristic
296#13094000C2311yescharacteristic
297#13094000C2311yescharacteristic
298#13093999—21no—
299#13093999—21no—
300#13093999C2311yescharacteristic
301#13093999C2311yescharacteristic
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#13093998—21no—
311#13093998—21no—
312#13093998—21no—
313#13093998—21no—
314#13093998D411yescharacteristic
315#13093998D411yescharacteristic
316#13093998C2311yescharacteristic
317#13093998C2311yescharacteristic
318#13093998C2311yescharacteristic
319#13093998C2311yescharacteristic
320#13093998C2311yescharacteristic
321#13093998C2311yescharacteristic
322#13093998C2311yescharacteristic
323#13093998C2311yescharacteristic
324#13093997—21no—
325#13093997—21no—
326#13093997—21no—
327#13093997—21no—
328#13093997—21no—
329#13093996—21no—
330#13093996—21no—
331#13093996—21no—
332#13093996—21no—
333#13093996—21no—
334#13093996—21no—
335#13093996—21no—
336#13093996—21no—
337#13093995—21no—
338#13093995—21no—
339#13093995—21no—
340#13093995—21no—
341#13093995C2311yescharacteristic
342#13093995C2311yescharacteristic
343#13093995C2311yescharacteristic
344#13093994—21no—
345#13093994—21no—
346#13093994—21no—
347#13093993—21no—
348#13093993—21no—
349#13093993D411yescharacteristic
350#13093993D411yescharacteristic
351#13093992—21no—
352#13093992—21no—
353#13093992—21no—
354#13093992—21no—
355#13093992—21no—
356#13093992—21no—
357#13093992—21no—
358#13093992—21no—
359#13093992—21no—
360Q8×Dic47C2311yescharacteristic
361Q8×Dic47C2311yescharacteristic
362Q8×Dic47C2311yescharacteristic
363C4×D188—21no—
364D4×Dic47—21no—
365D4×Dic47—21no—
366D4×Dic47C2311yescharacteristic
367D4×Dic47C2311yescharacteristic
368D4×Dic47C2311yescharacteristic
369#13093986C2311yescharacteristic
370#13093986C2311yescharacteristic
371C4×C22⋊D47—21no—
372C4×C22⋊D47—21no—
373C4×C22⋊D47—21no—
374C4×C22⋊D47—21no—
375C4×C22⋊D47—21no—
376C4×C22⋊D47C2311yescharacteristic
377C4×C22⋊D47C2311yescharacteristic
378C4×C22⋊D47C2311yescharacteristic
379C4×C22⋊D47C2311yescharacteristic
380#13093983—21no—
381#13093983C2311yescharacteristic
382#13093982C2311yescharacteristic
383#13093981—21no—
384#13093980—21no—
385C2×C4⋊Dic47—21no—
386C2×C4⋊Dic47C2311yescharacteristic
387C2×C4⋊Dic47C2311yescharacteristic
388C4⋊C4×D47C2311yescharacteristic
389C2×(C2×D47)⋊C4—21no—
390C2×(C2×D47)⋊C4—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#13093958C2311yescharacteristic
398#13093958C2311yescharacteristic
399#13093957C2311yescharacteristic
400#13093957C2311yescharacteristic
401#13093955C2311yescharacteristic
402#13093955C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407#13093948C2311yescharacteristic
408#13093948C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093946C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
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
451C2×#41×C47C2311yescharacteristic
452C22×Q8×C47C2311yescharacteristic
453C22×D4×C47—21no—
454C22×D4×C47C2311yescharacteristic
455C23×C4×C47—21no—
456C23×C4×C47C2311yescharacteristic
457#135×C47—42no—
458#135×C47—42no—
459C2×Q16×C47C2311yescharacteristic
460C2×Q16×C47C2311yescharacteristic
461C2×SD16×C47C2311yescharacteristic
462C2×SD16×C47C2311yescharacteristic
463C2×SD16×C47C2311yescharacteristic
464C2×SD16×C47C2311yescharacteristic
465C2×D8×C47C2311yescharacteristic
466C2×D8×C47C2311yescharacteristic
467C22×C8×C47C2311yescharacteristic
468C22×C8×C47C2311yescharacteristic
469#123×C47—21no—
470C22⋊Q8×C47C2311yescharacteristic
471C22⋊Q8×C47C2311yescharacteristic
472#121×C47C2311yescharacteristic
473#121×C47C2311yescharacteristic
474#120×C47—21no—
475C4×D4×C47—21no—
476C4×D4×C47—21no—
477#117×C47C2311yescharacteristic
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×C47C2×D411yescharacteristic
492C23×D47—21no—
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—41no—
507#41×C47—41no—
508#41×C47—44no—
509C2×Q8×C47—21no—
510C2×Q8×C47—22no—
511C2×Q8×C47—41no—
512C2×Q8×C47C2411yescharacteristic
513C2×Q8×C47C2411yescharacteristic
514C2×Q8×C47C2411yescharacteristic
515C2×D4×C47—21no—
516C2×D4×C47—22no—
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—21no—
524C2×D4×C47—41no—
525C2×D4×C47—44no—
526C2×D4×C47C2411yescharacteristic
527C2×D4×C47C2411yescharacteristic
528C2×D4×C47C2411yescharacteristic
529C22×C4×C47—21no—
530C22×C4×C47—21no—
531C22×C4×C47—21no—
532C22×C4×C47—21no—
533C22×C4×C47—21no—
534C22×C4×C47—21no—
535C22×C4×C47—41no—
536C22×C4×C47—41no—
537C22×C4×C47—44no—
538C22×C4×C47C2×D411yescharacteristic
539C22×C4×C47C2×D411yescharacteristic
540C22×C4×C47C2×D411yescharacteristic
541C22×C4×C47C2411yescharacteristic
542C22×C4×C47C2411yescharacteristic
543C22×C4×C47C2411yescharacteristic
544C2×C22⋊D47—21no—
545C2×C22⋊D47—21no—
546C2×C22⋊D47—21no—
547C2×C22⋊D47—21no—
548C2×C22⋊D47—21no—
549C2×C22⋊D47—21no—
550C2×C22⋊D47—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—82no—
565C2×C22⋊D47—82no—
566C2×C22⋊D47—82no—
567C2×C22⋊D47—82no—
568C2×C22⋊D47C2×D411yescharacteristic
569C2×C22⋊D47C2×D411yescharacteristic
570C2×C22⋊D47C2×D411yescharacteristic
571C2×C22⋊D47C2×D411yescharacteristic
572C2×C22⋊D47C2×D411yescharacteristic
573C2×C22⋊D47C2×D411yescharacteristic
574C22×Dic47—21no—
575C22×Dic47—21no—
576C22×Dic47—21no—
577C22×Dic47—21no—
578C22×Dic47—21no—
579#10625354—22no—
580#10625354—22no—
581#10625354—41no—
582#10625354—41no—
583#10625354—41no—
584#10625354—41no—
585#10625352—82no—
586D4×D47—22no—
587D4×D47—22no—
588D4×D47—41no—
589D4×D47—41no—
590D4×D47—41no—
591D4×D47—41no—
592D4×D47—44no—
593D4×D47—44no—
594D4×D47—82no—
595#10625350—41no—
596#10625350—41no—
597#10625350—44no—
598C2×D188—21no—
599C2×D188—21no—
600C2×D188—21no—
601C2×D188—21no—
602C2×D188—21no—
603C2×D188—21no—
604C2×D188—21no—
605C2×D188—41no—
606C2×D188—41no—
607C2×D188—41no—
608C2×D188—41no—
609C2×D188—44no—
610C2×D188C2×D411yescharacteristic
611C2×D188C2411yescharacteristic
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×D47—21no—
621C2×C4×D47C2411yescharacteristic
622C2×C4×D47C2411yescharacteristic
623C2×Dic94—21no—
624C2×Dic94C2×D411yescharacteristic
625Q16×C47—22no—
626Q16×C47—41no—
627SD16×C47—22no—
628SD16×C47—22no—
629SD16×C47—41no—
630SD16×C47—41no—
631D8×C47—22no—
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×C47—21no—
641C4⋊C4×C47C2411yescharacteristic
642C4⋊C4×C47C2411yescharacteristic
643C22⋊C4×C47—21no—
644C22⋊C4×C47—21no—
645C22⋊C4×C47—21no—
646C22⋊C4×C47—21no—
647C22⋊C4×C47—21no—
648C42×C47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47—21no—
653C22⋊Dic47—21no—
654C22⋊Dic47—21no—
655C22⋊Dic47C2×D411yescharacteristic
656C22⋊Dic47C2×D411yescharacteristic
657C22⋊Dic47C2×D411yescharacteristic
658C22⋊Dic47C2×D411yescharacteristic
659C22⋊Dic47C2×D411yescharacteristic
660C22⋊Dic47C2×D411yescharacteristic
661#10625336—22no—
662#10625336—22no—
663#10625336—41no—
664#10625336—41no—
665#10625336—41no—
666#10625336—41no—
667#10625334—22no—
668#10625334—22no—
669#10625334—41no—
670#10625334—41no—
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)⋊C4—21no—
690(C2×D47)⋊C4—21no—
691(C2×D47)⋊C4—21no—
692(C2×D47)⋊C4—21no—
693(C2×D47)⋊C4—21no—
694(C2×D47)⋊C4—21no—
695(C2×D47)⋊C4C2×D411yescharacteristic
696(C2×D47)⋊C4C2×D411yescharacteristic
697(C2×D47)⋊C4C2×D411yescharacteristic
698(C2×D47)⋊C4C2×D411yescharacteristic
699C4⋊Dic47—21no—
700C4⋊Dic47—21no—
701C4⋊Dic47—21no—
702C4⋊Dic47—21no—
703C4⋊Dic47—21no—
704C4⋊Dic47—21no—
705C4⋊Dic47C2×D411yescharacteristic
706C4⋊Dic47C2×D411yescharacteristic
707C4⋊Dic47C2411yescharacteristic
708C4⋊Dic47C2411yescharacteristic
709C4⋊Dic47C2411yescharacteristic
710C4⋊Dic47C2411yescharacteristic
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714Dic47⋊C4—21no—
715Dic47⋊C4—21no—
716Dic47⋊C4—21no—
717Dic47⋊C4C2×D411yescharacteristic
718Dic47⋊C4C2×D411yescharacteristic
719Dic47⋊C4C2×D411yescharacteristic
720Dic47⋊C4C2×D411yescharacteristic
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—
735D376—41no—
736D376—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—41no—
746C23×C47—41no—
747C23×C47—42no—
748C23×C47—42no—
749C23×C47—81no—
750C23×C47C22×D411yescharacteristic
751C23×C47C22×D411yescharacteristic
752C23×C47C22×D411yescharacteristic
753C22×D47—21no—
754C22×D47—21no—
755C22×D47—21no—
756C22×D47—21no—
757C22×D47—42no—
758C22×D47—42no—
759C22×D47—42no—
760C22×D47—42no—
761C22×D47—81no—
762C22×D47—81no—
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—21no—
778Q8×C47—21no—
779Q8×C47—42no—
780Q8×C47H(5,𝔽2)12yes—
781D4×C47—24no—
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—42no—
792D4×C47—81no—
793D4×C47—81no—
794D4×C47H(5,𝔽2)12yes—
795C2×C4×C47—24no—
796C2×C4×C47—21no—
797C2×C4×C47—21no—
798C2×C4×C47—21no—
799C2×C4×C47—21no—
800C2×C4×C47—21no—
801C2×C4×C47—21no—
802C2×C4×C47—21no—
803C2×C4×C47—21no—
804C2×C4×C47—21no—
805C2×C4×C47—21no—
806C2×C4×C47—21no—
807C2×C4×C47—41no—
808C2×C4×C47—41no—
809C2×C4×C47—41no—
810C2×C4×C47—42no—
811C2×C4×C47—42no—
812C2×C4×C47—42no—
813C2×C4×C47—42no—
814C2×C4×C47—81no—
815C2×C4×C47C22×D411yescharacteristic
816C2×C4×C47C22×D411yescharacteristic
817C2×C4×C47C22×D411yescharacteristic
818C2×C4×C47C2511yescharacteristic
819C22⋊D47—22no—
820C22⋊D47—22no—
821C22⋊D47—41no—
822C22⋊D47—41no—
823C22⋊D47—41no—
824C22⋊D47—41no—
825C22⋊D47—42no—
826C22⋊D47—42no—
827C22⋊D47—42no—
828C22⋊D47—42no—
829C22⋊D47—81no—
830C22⋊D47—81no—
831C22⋊D47—81no—
832C22⋊D47—81no—
833C22⋊D47—81no—
834C22⋊D47—81no—
835C22⋊D47—81no—
836C22⋊D47—81no—
837C22⋊D47—81no—
838C22⋊D47—81no—
839C22⋊D47—81no—
840C22⋊D47—81no—
841C22⋊D47—81no—
842C22⋊D47—81no—
843C22⋊D47—81no—
844C22⋊D47—81no—
845C2×Dic47—21no—
846C2×Dic47—21no—
847C2×Dic47—21no—
848C2×Dic47—21no—
849C2×Dic47—42no—
850C2×Dic47—81no—
851C2×Dic47—81no—
852C2×Dic47—81no—
853C2×Dic47—81no—
854C2×Dic47C22×D411yescharacteristic
855C2×Dic47C22×D411yescharacteristic
856C2×Dic47C22×D411yescharacteristic
857C2×Dic47C22×D411yescharacteristic
858C2×Dic47C22×D411yescharacteristic
859C2×Dic47C22×D411yescharacteristic
860D188—21no—
861D188—21no—
862D188—21no—
863D188—21no—
864D188—21no—
865D188—21no—
866D188—21no—
867D188—21no—
868D188—41no—
869D188—42no—
870D188—42no—
871D188—42no—
872D188—81no—
873D188—81no—
874D188—81no—
875D188—81no—
876C4×D47—21no—
877C4×D47—21no—
878C4×D47—21no—
879C4×D47—21no—
880C4×D47—42no—
881C4×D47—42no—
882C4×D47—81no—
883C4×D47—81no—
884C4×D47—81no—
885C4×D47—81no—
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—82no—
915C22×C47—84no—
916C22×C47#57612yes—
917C22×C47C23×D411yescharacteristic
918C2×D47—21no—
919C2×D47—21no—
920C2×D47—21no—
921C2×D47—21no—
922C2×D47—21no—
923C2×D47—21no—
924C2×D47—41no—
925C2×D47—41no—
926C2×D47—41no—
927C2×D47—41no—
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—162no—
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×C47—41no—
949C4×C47C2×H(5,𝔽2)11yescharacteristic
950C4×C47C2×H(5,𝔽2)11yescharacteristic
951Dic47—21no—
952Dic47—21no—
953Dic47—21no—
954Dic47—21no—
955Dic47—21no—
956Dic47—21no—
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#3002D4711yescharacteristic, complemented
990C2×#449—471no—
991#2977—471no—
992C2×C47—22no—
993C2×C47—41no—
994C2×C47—42no—
995C2×C47—41no—
996C2×C47—81no—
997C2×C47—81no—
998C2×C47#348411yescharacteristic
999C2×C47C2×#57611yescharacteristic
1000C2×C47#358411yescharacteristic
1001D47—41no—
1002D47—41no—
1003D47—81no—
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×#135C2×D4711yescharacteristic, complemented
1013C2×#135C2×D4711yescharacteristic, complemented
1014C22×SD16—471no—
1015C22×D8—471no—
1016C22×D8—471no—
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—941no—
1055#525C2×D4711yescharacteristic, complemented
1056C2×#121—471no—
1057C2×#121—471no—
1058C2×#121—941no—
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#452C2×D4711yescharacteristic, complemented
1115#452C2×D4711yescharacteristic, complemented
1116#451C2×D4711yescharacteristic, complemented
1117#450—471no—
1118#450—471no—
1119#450—471no—
1120#450C2×D4711yescharacteristic, complemented
1121#449—471no—
1122#449—471no—
1123#449—471no—
1124#449—471no—
1125#449—471no—
1126#449—471no—
1127#449—471no—
1128#449—471no—
1129#449—471no—
1130#449—471no—
1131#449—471no—
1132#449—471no—
1133#449—471no—
1134#449—471no—
1135#449C2×D4711yescharacteristic, complemented
1136#449C2×D4711yescharacteristic, complemented
1137#448C2×D4711yescharacteristic, complemented
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#447C2×D4711yescharacteristic, complemented
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#416C2×D4711yescharacteristic, complemented
1170#416C2×D4711yescharacteristic, complemented
1171C2×#103—471no—
1172C2×#102—471no—
1173C2×#102—471no—
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—941no—
1190C2×#41—941no—
1191C2×#41C22×D4711yescharacteristic
1192C2×#41C22×D4711yescharacteristic
1193C2×#41C22×D4711yescharacteristic
1194C2×#41C22×D4711yescharacteristic
1195C2×#41C22×D4711yescharacteristic
1196C22×Q8C22×D4711yescharacteristic
1197C22×D4—21no—
1198C22×D4—471no—
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×D4—941no—
1211C22×D4C22×D4711yescharacteristic
1212C23×C4—21no—
1213C23×C4C22×D4711yescharacteristic
1214AGL(1,ℤ/8)—1882no—
1215AGL(1,ℤ/8)—1882no—
1216#135—42no—
1217#135—42no—
1218#135—1882no—
1219C2×Q16C22×D4711yescharacteristic
1220C2×Q16C22×D4711yescharacteristic
1221C2×SD16—471no—
1222C2×SD16—471no—
1223C2×SD16—471no—
1224C2×SD16—471no—
1225C2×SD16—471no—
1226C2×SD16—471no—
1227C2×SD16—1882no—
1228C2×SD16C22×D4711yescharacteristic
1229C2×SD16C22×D4711yescharacteristic
1230C2×SD16C22×D4711yescharacteristic
1231C2×SD16C22×D4711yescharacteristic
1232C2×D8—471no—
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—471no—
1242C2×D8—1882no—
1243C2×D8—1882no—
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—21no—
1277#123—471no—
1278#123—471no—
1279#123—941no—
1280#123—941no—
1281#123—941no—
1282#123—941no—
1283#123—941no—
1284#123—941no—
1285#123—941no—
1286#123—941no—
1287#123—941no—
1288#123—941no—
1289#123—941no—
1290C22⋊Q8—471no—
1291C22⋊Q8—471no—
1292C22⋊Q8—471no—
1293C22⋊Q8—471no—
1294C22⋊Q8—471no—
1295C22⋊Q8—941no—
1296C22⋊Q8—941no—
1297C22⋊Q8—941no—
1298C22⋊Q8—941no—
1299C22⋊Q8—941no—
1300C22⋊Q8—941no—
1301C22⋊Q8C22×D4711yescharacteristic
1302C22⋊Q8C22×D4711yescharacteristic
1303#121—471no—
1304#121—471no—
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#121—941no—
1348#121—941no—
1349#121C22×D4711yescharacteristic
1350#121C22×D4711yescharacteristic
1351#120—21no—
1352#120—471no—
1353#120—471no—
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—21no—
1372C4×D4—21no—
1373C4×D4—471no—
1374C4×D4—471no—
1375C4×D4—471no—
1376C4×D4—471no—
1377C4×D4—471no—
1378C4×D4—471no—
1379C4×D4—471no—
1380C4×D4—471no—
1381C4×D4—471no—
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—941no—
1393#117—941no—
1394#117—941no—
1395#117C22×D4711yescharacteristic
1396C2×C4⋊C4—471no—
1397C2×C4⋊C4—471no—
1398C2×C4⋊C4—471no—
1399C2×C4⋊C4—941no—
1400C2×C22⋊C4—941no—
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—941no—
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—41no—
1483#41—41no—
1484#41—44no—
1485#41—942no—
1486#41—942no—
1487#41—3762no—
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—941no—
1500C2×Q8C23×D4711yescharacteristic
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—41no—
1513C2×D4—44no—
1514C2×D4—471no—
1515C2×D4—471no—
1516C2×D4—471no—
1517C2×D4—471no—
1518C2×D4—471no—
1519C2×D4—471no—
1520C2×D4—471no—
1521C2×D4—471no—
1522C2×D4—471no—
1523C2×D4—471no—
1524C2×D4—471no—
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—941no—
1534C2×D4—941no—
1535C2×D4—941no—
1536C2×D4—941no—
1537C2×D4—941no—
1538C2×D4—941no—
1539C2×D4—942no—
1540C2×D4—942no—
1541C2×D4—941no—
1542C2×D4—941no—
1543C2×D4—941no—
1544C2×D4—941no—
1545C2×D4—941no—
1546C2×D4—941no—
1547C2×D4—941no—
1548C2×D4—941no—
1549C2×D4—941no—
1550C2×D4—941no—
1551C2×D4—941no—
1552C2×D4—941no—
1553C2×D4—941no—
1554C2×D4—3762no—
1555C2×D4—3762no—
1556C2×D4—3762no—
1557C2×D4—3762no—
1558C2×D4—3762no—
1559C2×D4—1881no—
1560C2×D4—1881no—
1561C2×D4—1881no—
1562C2×D4—1881no—
1563C2×D4—1884no—
1564C2×D4—1881no—
1565C2×D4—1881no—
1566C2×D4—1881no—
1567C2×D4—1881no—
1568C2×D4—1884no—
1569C2×D4—1884no—
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—22no—
1602Q16—41no—
1603SD16—22no—
1604SD16—22no—
1605SD16—41no—
1606SD16—41no—
1607SD16—942no—
1608SD16—942no—
1609SD16—1881no—
1610SD16—1881no—
1611SD16—1881no—
1612SD16—1881no—
1613D8—22no—
1614D8—41no—
1615D8—942no—
1616D8—942no—
1617D8—1881no—
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—21no—
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—471no—
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—21no—
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—471no—
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—21no—
1711C42—471no—
1712C42—471no—
1713C42—941no—
1714C42—941no—
1715C42—941no—
1716C42—941no—
1717C23—21no—
1718C23—22no—
1719C23—21no—
1720C23—21no—
1721C23—41no—
1722C23—41no—
1723C23—42no—
1724C23—42no—
1725C23—81no—
1726C23—471no—
1727C23—471no—
1728C23—941no—
1729C23—941no—
1730C23—941no—
1731C23—941no—
1732C23—3761no—
1733C23—3761no—
1734C23—3761no—
1735C23—3761no—
1736C23—3761no—
1737C23—3761no—
1738C23—3761no—
1739C23—3761no—
1740C23—3761no—
1741C23—3761no—
1742C23—3761no—
1743C23—1882no—
1744C23—1882no—
1745C23—1882no—
1746C23—1882no—
1747C23C2×D4×D4711yescharacteristic
1748C23C2×D4×D4711yescharacteristic
1749C23C2×D4×D4711yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—42no—
1756Q8—3761no—
1757Q8—1881no—
1758Q8#1309406912yes—
1759D4—24no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—42no—
1766D4—42no—
1767D4—42no—
1768D4—42no—
1769D4—42no—
1770D4—81no—
1771D4—81no—
1772D4—942no—
1773D4—942no—
1774D4—941no—
1775D4—941no—
1776D4—941no—
1777D4—941no—
1778D4—941no—
1779D4—941no—
1780D4—941no—
1781D4—941no—
1782D4—3761no—
1783D4—3761no—
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—3761no—
1802D4—1881no—
1803D4—1882no—
1804D4—1882no—
1805D4—1882no—
1806D4—1881no—
1807D4—1881no—
1808D4—1881no—
1809D4—1881no—
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—21no—
1827C2×C4—41no—
1828C2×C4—41no—
1829C2×C4—41no—
1830C2×C4—42no—
1831C2×C4—42no—
1832C2×C4—42no—
1833C2×C4—42no—
1834C2×C4—81no—
1835C2×C4—471no—
1836C2×C4—471no—
1837C2×C4—471no—
1838C2×C4—471no—
1839C2×C4—471no—
1840C2×C4—471no—
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—1882no—
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—82no—
1890C22—84no—
1891C22—941no—
1892C22—941no—
1893C22—941no—
1894C22—941no—
1895C22—941no—
1896C22—941no—
1897C22—1881no—
1898C22—1881no—
1899C22—1881no—
1900C22—1881no—
1901C22—1881no—
1902C22—1881no—
1903C22—1881no—
1904C22—1881no—
1905C22—1881no—
1906C22—1881no—
1907C22—1881no—
1908C22—1881no—
1909C22—7522no—
1910C22—7522no—
1911C22—7522no—
1912C22—7522no—
1913C22—7522no—
1914C22#1568992512yes—
1915C22C22×D4×D4711yescharacteristic
1916C4—21no—
1917C4—22no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—941no—
1925C4—941no—
1926C4—941no—
1927C4—941no—
1928C4—941no—
1929C4—941no—
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—3761no—
1943C2—3761no—
1944C2—3761no—
1945C2—3761no—
1946C2—1881no—
1947C2—1881no—
1948C2#2025701711yescharacteristic
1949C2C2×#1568992511yescharacteristic
1950C2#2025816111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3002C2
socleC22×C47C23×D4
hypercenter#3002D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3002

Complements

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

NH ≅ G/Ntype
1. #20257696C2semidirect
2. #20257057C2semidirect
3. #20255540C2semidirect
4. #20255413C2semidirect
5. #20255390C2semidirect
6. #20255383C2semidirect
7. #20255334C2semidirect
8. #20255279C2semidirect
9. #20255239C2semidirect
10. #20255194C2semidirect
11. #20255142C2semidirect
12. #20255088C2semidirect
13. #20255067C2semidirect
14. #20255058C2semidirect
15. #20254928C2semidirect
16. #20254928C2semidirect
17. #20254876C2semidirect
18. #20254872C2semidirect
19. #20254488C2semidirect
20. #20254436C2semidirect
21. #20254289C2semidirect
22. #20254237C2semidirect
23. #20254149C2semidirect
24. #20254139C2semidirect
25. #20253651C2semidirect
26. #20253580C2semidirect
27. #20252696C2semidirect
28. #20252653C2semidirect
29. C2×#15689268C2semidirect
30. #20252442C2semidirect
31. C47×#3002C2semidirect
32. C2×#13094070C22semidirect
33. C2×#13094051C22semidirect
34. C2×#13094051C22semidirect
35. C2×#13094047C22semidirect
36. C22×#10625336C22semidirect
37. C22×#10625334C22semidirect
38. C2×D8×D47C22semidirect
41. #15689836C22semidirect
42. #15689817C22semidirect
43. #15689815C22semidirect
45. #15689792C22semidirect
46. #15689792C22semidirect
47. #15689792C22semidirect
49. #15689784C22semidirect
50. #15689773C22semidirect
52. #15689764C22semidirect
55. #15689761C22semidirect
56. #15689761C22semidirect
57. #15689761C22semidirect
58. #15689757C22semidirect
62. D4×C22⋊D47C22semidirect
63. #15689746C22semidirect
64. #15689726C22semidirect
67. #15689703C22semidirect
69. #15689701C22semidirect
70. #15689689C22semidirect
73. #15689687C22semidirect
78. C2×#13093998C22semidirect
79. C2×#13093998C22semidirect
80. #15689606C22semidirect
81. #15689509C22semidirect
82. #15689509C22semidirect
83. #15689508C22semidirect
84. #15689498C22semidirect
85. #15689486C22semidirect
86. #15689484C22semidirect
87. #15689479C22semidirect
88. #15689468C22semidirect
89. #15689463C22semidirect
90. #15689457C22semidirect
91. #15689456C22semidirect
92. #15689447C22semidirect
93. #15689447C22semidirect
94. #15689445C22semidirect
95. #15689439C22semidirect
96. #15689437C22semidirect
97. #15689437C22semidirect
98. #15689437C22semidirect
99. #15689437C22semidirect
100. #15689435C22semidirect
101. #15689432C22semidirect
102. #15689421C22semidirect
103. #15689416C22semidirect
104. #15689401C22semidirect
105. #15689375C22semidirect
106. #15689372C22semidirect
107. #15689366C22semidirect
108. #15689366C22semidirect
109. #15689361C22semidirect
110. #15689359C22semidirect
111. #15689359C22semidirect
112. #15689359C22semidirect
113. #15689359C22semidirect
114. #15689358C22semidirect
115. #15689357C22semidirect
116. #15689357C22semidirect
117. #15689356C22semidirect
118. #15689355C22semidirect
119. #15689354C22semidirect
120. #15689354C22semidirect
121. #15689347C22semidirect
122. #15689347C22semidirect
123. #15689341C22semidirect
124. #15689341C22semidirect
125. #15689340C22semidirect
126. #15689340C22semidirect
127. #15689321C22semidirect
128. #15689321C22semidirect
129. #15689317C22semidirect
130. #15689317C22semidirect
131. #15689316C22semidirect
132. #15689316C22semidirect
133. #15689284C22semidirect
134. #15689284C22semidirect
135. #15689273C22semidirect
136. #15689272C22semidirect
137. #15689272C22semidirect
138. #15689271C22semidirect
139. #15689271C22semidirect
141. #15689268C22semidirect
142. #15689268C22semidirect
143. #15689268C22semidirect
144. #15689268C22semidirect
145. #15689268C22semidirect
146. #15689268C22semidirect
147. #15689268C22semidirect
148. #15689268C22semidirect
149. #15689268C22semidirect
150. #15689267C22semidirect
151. #15689267C22semidirect
152. #15689259C22semidirect
153. #15689259C22semidirect
154. #15689259C22semidirect
155. #15689259C22semidirect
156. #15689258C22semidirect
157. #15689258C22semidirect
158. #15689256C22semidirect
159. #15689255C22semidirect
160. #15689255C22semidirect
161. #15689232C22semidirect
162. #15689226C22semidirect
163. #15689224C22semidirect
164. #15689224C22semidirect
165. Q16×Dic47C22semidirect
166. #15689208C22semidirect
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. #15689118C22semidirect
182. C2×#13093948C22semidirect
183. C2×#13093945C22semidirect
184. #102×D47C22semidirect
185. #15689088C22semidirect
186. #15689088C22semidirect
187. C2×C22⋊(C47⋊C8)C22semidirect
188. C22×#41×C47C22semidirect
189. C2×#135×C47C22semidirect
190. C2×#135×C47C22semidirect
191. C47×#525C22semidirect
192. C47×#452C22semidirect
193. C47×#452C22semidirect
194. C47×#451C22semidirect
195. C47×#450C22semidirect
196. C47×#449C22semidirect
197. C47×#449C22semidirect
198. C47×#448C22semidirect
199. C47×#447C22semidirect
200. C47×#416C22semidirect
201. C47×#416C22semidirect
202. C2×C22⋊C8×C47C22semidirect
989. #3002D47semidirect
1008. C22×#41C2×D47semidirect
1012. C2×#135C2×D47semidirect
1013. C2×#135C2×D47semidirect
1055. #525C2×D47semidirect
1114. #452C2×D47semidirect
1115. #452C2×D47semidirect
1116. #451C2×D47semidirect
1120. #450C2×D47semidirect
1135. #449C2×D47semidirect
1136. #449C2×D47semidirect
1137. #448C2×D47semidirect
1147. #447C2×D47semidirect
1169. #416C2×D47semidirect
1170. #416C2×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
#202576962
#202570572
#202555402
#202554132
#202553902
#202553832
#202553342
#202552792
#202552392
#202551942
#202551422
#202550882
#202550672
#202550582
#202549282
#202548762
#202548722
#202544882
#202544362
#202542892
#202542372
#202541492
#202541392
#202536512
#202535802
#202526962
#202526532
C2×#156892682
#202524422
C47×#30022
#6163947