Finite Group Databasebeta

← #27112057

Subgroups — #27112057

Order 12032.

2030 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257290C211yesmaximal, characteristic, complemented
2#20256875C211yesmaximal, characteristic, complemented
3#20256284C211yesmaximal, characteristic, complemented
4#20256282C211yesmaximal, characteristic, complemented
5#20256098C211yesmaximal, characteristic, complemented
6#20256096C211yesmaximal, characteristic, complemented
7#20255979C211yesmaximal, characteristic, complemented
8#20255976C211yesmaximal, characteristic, complemented
9#20255862C211yesmaximal, characteristic, complemented
10#20255858C211yesmaximal, characteristic, complemented
11#20255854C211yesmaximal, characteristic, complemented
12#20255628C211yesmaximal, characteristic, complemented
13#20255625C211yesmaximal, characteristic, complemented
14#20255535C211yesmaximal, characteristic, complemented
15#20255531C211yesmaximal, characteristic, complemented
16#20255527C211yesmaximal, characteristic, complemented
17#20255523C211yesmaximal, characteristic, complemented
18#20254768C211yesmaximal, characteristic, complemented
19#20254765C211yesmaximal, characteristic, complemented
20#20254694C211yesmaximal, characteristic, complemented
21#20254587C211yesmaximal, characteristic, complemented
22#20254583C211yesmaximal, characteristic, complemented
23#20254514C211yesmaximal, characteristic, complemented
24#20253477C211yesmaximal, characteristic, complemented
25#20253476C211yesmaximal, characteristic, complemented
26#20253385C211yesmaximal, characteristic, complemented
27#20253184C211yesmaximal, characteristic, complemented
28#20253183C211yesmaximal, characteristic, complemented
29C2×#15689412C211yesmaximal, characteristic, complemented
30#20252500C211yesmaximal, characteristic, complemented
31C47×#3345C211yesmaximal, characteristic, complemented
32C2×#41×D47—21no—
33#15689840—21no—
34#15689837C2211yescharacteristic, complemented
35#15689836C2211yescharacteristic, complemented
36#15689832C2211yescharacteristic, complemented
37#15689829C2211yescharacteristic, complemented
38#15689825C2211yescharacteristic, complemented
39#15689821C2211yescharacteristic, complemented
40#15689819C2211yescharacteristic, complemented
41#15689794C2211yescharacteristic
42#15689788C2211yescharacteristic
43#15689783—21no—
44#15689782—21no—
45#15689779—21no—
46#15689774C2211yescharacteristic
47#15689774C2211yescharacteristic
48#15689771—21no—
49#15689765—21no—
50#15689765—21no—
51#15689761—21no—
52D4×D188C2211yescharacteristic
53#15689757C2211yescharacteristic
54#15689757C2211yescharacteristic
55#15689741—21no—
56#15689739—21no—
57#15689700—21no—
58#15689679C2211yescharacteristic, complemented
59#15689676C2211yescharacteristic, complemented
60#15689674C2211yescharacteristic
61#15689670C2211yescharacteristic, complemented
62#15689668C2211yescharacteristic
63#15689668C2211yescharacteristic
64#15689668C2211yescharacteristic, complemented
65#15689668C2211yescharacteristic, complemented
66C2×#13094023C2211yescharacteristic, complemented
67#15689636—21no—
68#15689631—21no—
69#15689631—21no—
70#15689602—21no—
71C4×#10625352C2211yescharacteristic
72C2×#13093986C2211yescharacteristic
73C2×#13093986C2211yescharacteristic
74C4×D4×D47C2211yescharacteristic
75#15689531C2211yescharacteristic, complemented
76#15689530C2211yescharacteristic, complemented
77#15689529C2211yescharacteristic, complemented
78#15689520C2211yescharacteristic, complemented
79#15689520C2211yescharacteristic, complemented
80#15689489C2211yescharacteristic, complemented
81#15689488C2211yescharacteristic, complemented
82#15689486C2211yescharacteristic, complemented
83#15689486C2211yescharacteristic, complemented
84#15689468C2211yescharacteristic, complemented
85#15689468C2211yescharacteristic, complemented
86#15689450C2211yescharacteristic, complemented
87#15689450C2211yescharacteristic, complemented
88#15689449C2211yescharacteristic, complemented
89#15689449C2211yescharacteristic, complemented
90#15689448C2211yescharacteristic, complemented
91#15689447C2211yescharacteristic, complemented
92#15689444C2211yescharacteristic, complemented
93#15689443C2211yescharacteristic, complemented
94#15689442C2211yescharacteristic, complemented
95#15689441C2211yescharacteristic, complemented
96#15689441C2211yescharacteristic, complemented
97#15689440C2211yescharacteristic, complemented
98#15689439C2211yescharacteristic, complemented
99#15689436C2211yescharacteristic, complemented
100#15689426C2211yescharacteristic
101#15689426C2211yescharacteristic, complemented
102#15689424C2211yescharacteristic
103#15689423C2211yescharacteristic, complemented
104#15689422C2211yescharacteristic
105#15689422C2211yescharacteristic, complemented
106#15689420C2211yescharacteristic
107#15689412C2211yescharacteristic
108#15689412C2211yescharacteristic
109#15689412C2211yescharacteristic
110#15689412C2211yescharacteristic
111#15689412C2211yescharacteristic, complemented
112#15689412C2211yescharacteristic, complemented
113#15689412C2211yescharacteristic, complemented
114#15689412C2211yescharacteristic, complemented
115#15689412C2211yescharacteristic, complemented
116#15689412C2211yescharacteristic, complemented
117#15689412C2211yescharacteristic, complemented
118#15689411C2211yescharacteristic, complemented
119#15689411C2211yescharacteristic, complemented
120#15689411C2211yescharacteristic, complemented
121#15689410C2211yescharacteristic, complemented
122#15689402C2211yescharacteristic
123#15689402C2211yescharacteristic, complemented
124#15689402C2211yescharacteristic, complemented
125#15689402C2211yescharacteristic, complemented
126#15689401C2211yescharacteristic, complemented
127#15689401C2211yescharacteristic, complemented
128#15689377C2211yescharacteristic, complemented
129#15689377C2211yescharacteristic, complemented
130#15689376C2211yescharacteristic, complemented
131#15689375C2211yescharacteristic, complemented
132#15689375C2211yescharacteristic, complemented
133#15689374C2211yescharacteristic, complemented
134#15689374C2211yescharacteristic, complemented
135#15689359C2211yescharacteristic, complemented
136#15689357C2211yescharacteristic, complemented
137#15689357C2211yescharacteristic, complemented
138#15689319C2211yescharacteristic, complemented
139#15689318C2211yescharacteristic, complemented
140#15689317C2211yescharacteristic
141#15689317C2211yescharacteristic, complemented
142#15689317C2211yescharacteristic, complemented
143#15689317C2211yescharacteristic, complemented
144#15689317C2211yescharacteristic, complemented
145#15689316C2211yescharacteristic, complemented
146#15689316C2211yescharacteristic, complemented
147#15689316C2211yescharacteristic, complemented
148#15689259C2211yescharacteristic
149#15689259C2211yescharacteristic
150#15689258C2211yescharacteristic
151#15689256C2211yescharacteristic
152#15689256C2211yescharacteristic
153#15689255C2211yescharacteristic
154#15689252C2211yescharacteristic, complemented
155#15689251C2211yescharacteristic, complemented
156#15689236C2211yescharacteristic
157#15689234C2211yescharacteristic
158#15689234C2211yescharacteristic, complemented
159#15689233C2211yescharacteristic
160#15689233C2211yescharacteristic, complemented
161#15689232C2211yescharacteristic
162#15689232C2211yescharacteristic, complemented
163#15689205C2211yescharacteristic
164#15689205C2211yescharacteristic, complemented
165#15689203C2211yescharacteristic
166#15689203C2211yescharacteristic, complemented
167#15689199C2211yescharacteristic, complemented
168#15689198C2211yescharacteristic, complemented
169#15689195C2211yescharacteristic, complemented
170#15689194C2211yescharacteristic, complemented
171#15689191C2211yescharacteristic, complemented
172#15689178C2211yescharacteristic, complemented
173#15689177C2211yescharacteristic, complemented
174#15689173C2211yescharacteristic, complemented
175#15689164C2211yescharacteristic, complemented
176#15689163C2211yescharacteristic, complemented
177#15689162C2211yescharacteristic, complemented
178C2×#13093955C2211yescharacteristic, complemented
179#15689146C2211yescharacteristic, complemented
180#15689145C2211yescharacteristic, complemented
181C2×Dic47⋊C8C2211yescharacteristic, complemented
182#15689129C2211yescharacteristic
183#15689127C2211yescharacteristic
184#15689126C2211yescharacteristic
185#15689126C2211yescharacteristic
186C2×#13093946C2211yescharacteristic
187C2×#13093944C2211yescharacteristic
188C47×#553C2211yescharacteristic, complemented
189C47×#547C2211yescharacteristic
190C47×#501C2211yescharacteristic, complemented
191C47×#482C2211yescharacteristic, complemented
192C47×#481C2211yescharacteristic, complemented
193C47×#481C2211yescharacteristic, complemented
194C47×#480C2211yescharacteristic, complemented
195C47×#478C2211yescharacteristic, complemented
196C47×#476C2211yescharacteristic, complemented
197C47×#469C2211yescharacteristic, complemented
198C47×#466C2211yescharacteristic, complemented
199C47×#442C2211yescharacteristic, complemented
200C47×#435C2211yescharacteristic, complemented
201C47×#428C2211yescharacteristic, complemented
202C2×#106×C47C2211yescharacteristic, complemented
203C2×#10625354—21no—
204C2×#10625350—21no—
205C2×#10625350—21no—
206C2×#10625350—21no—
207C2×#10625350—21no—
208C2×#10625352—21no—
209C2×#10625352—21no—
210C2×#10625352—21no—
211C2×#10625352—21no—
212C2×#10625352D411yescharacteristic
213#41×D47—48no—
214C22×Dic94—21no—
215C2×Q8×D47—21no—
216C22×D188C2311yescharacteristic
217C22×D188C2311yescharacteristic
218C2×D4×D47—21no—
219C2×D4×D47—21no—
220C2×D4×D47—21no—
221C2×D4×D47C2311yescharacteristic
222C22×C4×D47—21no—
223C22×C4×D47—21no—
224C22×C4×D47—21no—
225C2×D376C2311yescharacteristic
226C2×D376C2311yescharacteristic
227C2×D376C2311yescharacteristic
228C2×#10625334C2311yescharacteristic
229C2×#10625334C2311yescharacteristic
230C2×#10625334C2311yescharacteristic
231C2×#10625334C2311yescharacteristic
232C2×#10625329C2311yescharacteristic
233C2×#10625324C2311yescharacteristic
234C2×#10625324C2311yescharacteristic
235C22×C47⋊C8C2311yescharacteristic
236#13094023—21no—
237#13094023—21no—
238#13094023C2311yescharacteristic
239#13094023C2311yescharacteristic
240#13094023C2311yescharacteristic
241#13094023C2311yescharacteristic
242#13094023C2311yescharacteristic
243#13094023C2311yescharacteristic
244#13094023C2311yescharacteristic
245#13094021C2311yescharacteristic
246#13094020C2311yescharacteristic
247#13094020C2311yescharacteristic
248#13094020C2311yescharacteristic
249#13094019—21no—
250#13094019—21no—
251#13094017—21no—
252#13094016C2311yescharacteristic
253#13094015C2311yescharacteristic
254#13094015C2311yescharacteristic
255#13094013—21no—
256#13094012—21no—
257#13094011—21no—
258#13094010—21no—
259#13094010—21no—
260#13094010—21no—
261#13094010—21no—
262#13094010—21no—
263#13094010—21no—
264#13094010—21no—
265#13094009—21no—
266#13094009—21no—
267#13094009—21no—
268#13094008—21no—
269#13094007—21no—
270#13094007—21no—
271#13094006—21no—
272#13094004—21no—
273#13094003—21no—
274#13094002—21no—
275#13094002—21no—
276#13094002—21no—
277#13094002—21no—
278#13094002—21no—
279#13094002—21no—
280#13094002—21no—
281#13094002—21no—
282#13094001—21no—
283#13094001—21no—
284#13094001—21no—
285#13094001—21no—
286#13094000—21no—
287#13093999—21no—
288#13093999—21no—
289#13093999C2311yescharacteristic
290#13093999C2311yescharacteristic
291#13093999C2311yescharacteristic
292#13093998—21no—
293#13093998—21no—
294#13093998C2311yescharacteristic
295#13093998C2311yescharacteristic
296#13093998C2311yescharacteristic
297#13093998C2311yescharacteristic
298#13093997—21no—
299#13093997—21no—
300#13093997—21no—
301#13093997—21no—
302#13093997—21no—
303#13093997—21no—
304#13093996—21no—
305#13093996—21no—
306#13093996—21no—
307#13093996—21no—
308#13093996—21no—
309#13093996—21no—
310#13093996—21no—
311#13093995C2311yescharacteristic
312#13093994—21no—
313#13093994—21no—
314#13093994—21no—
315#13093994—21no—
316#13093992—21no—
317#13093992—21no—
318C4×Dic94—21no—
319C4×Dic94—21no—
320C4×Dic94C2311yescharacteristic
321#13093989—21no—
322#13093989—21no—
323#13093989D411yescharacteristic
324C4×D188C2311yescharacteristic
325C4×D188C2311yescharacteristic
326D4×Dic47—21no—
327D4×Dic47D411yescharacteristic
328D4×Dic47C2311yescharacteristic
329D4×Dic47C2311yescharacteristic
330D4×Dic47C2311yescharacteristic
331#13093986—21no—
332#13093986—21no—
333#13093986—21no—
334#13093986—21no—
335#13093986—21no—
336#13093986C2311yescharacteristic
337#13093986C2311yescharacteristic
338#13093986C2311yescharacteristic
339#13093986C2311yescharacteristic
340#13093986C2311yescharacteristic
341#13093986C2311yescharacteristic
342#13093986C2311yescharacteristic
343#13093986C2311yescharacteristic
344#13093986C2311yescharacteristic
345C4×C22⋊D47—21no—
346C4×C22⋊D47—21no—
347C4×C22⋊D47—21no—
348C4×C22⋊D47C2311yescharacteristic
349C4×C22⋊D47C2311yescharacteristic
350(C22⋊D47)⋊C4—21no—
351(C22⋊D47)⋊C4—21no—
352(C22⋊D47)⋊C4—21no—
353(C22⋊D47)⋊C4—21no—
354(C22⋊D47)⋊C4—21no—
355(C22⋊D47)⋊C4—21no—
356(C22⋊D47)⋊C4D411yescharacteristic
357(C22⋊D47)⋊C4D411yescharacteristic
358#13093983C2311yescharacteristic
359#13093982D411yescharacteristic
360#13093982C2311yescharacteristic
361#13093982C2311yescharacteristic
362#13093981—21no—
363#13093980—21no—
364#13093980D411yescharacteristic
365#13093980D411yescharacteristic
366C2×C4⋊Dic47C2311yescharacteristic
367C2×Dic47⋊C4—21no—
368C2×Dic47⋊C4—21no—
369C4⋊C4×D47—21no—
370C4⋊C4×D47C2311yescharacteristic
371C2×(C2×D47)⋊C4—21no—
372C2×(C2×D47)⋊C4—21no—
373C22⋊C4×D47—21no—
374C2×C4×Dic47C2311yescharacteristic
375C2×C4×Dic47C2311yescharacteristic
376C42×D47C2311yescharacteristic
377#13093958C2311yescharacteristic
378#13093957C2311yescharacteristic
379#13093957C2311yescharacteristic
380#13093957C2311yescharacteristic
381#13093957C2311yescharacteristic
382#13093956C2311yescharacteristic
383#13093956C2311yescharacteristic
384#13093955C2311yescharacteristic
385#13093955C2311yescharacteristic
386#13093955C2311yescharacteristic
387#13093955C2311yescharacteristic
388#13093955C2311yescharacteristic
389#13093955C2311yescharacteristic
390#13093955C2311yescharacteristic
391#13093955C2311yescharacteristic
392C4⋊(C47⋊C8)C2311yescharacteristic
393Dic47⋊C8C2311yescharacteristic
394Dic47⋊C8C2311yescharacteristic
395Dic47⋊C8C2311yescharacteristic
396Dic47⋊C8C2311yescharacteristic
397Dic47⋊C8C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399Dic47⋊C8C2311yescharacteristic
400Dic47⋊C8C2311yescharacteristic
401#13093946C2311yescharacteristic
402#13093946C2311yescharacteristic
403#13093946C2311yescharacteristic
404#13093946C2311yescharacteristic
405#13093946C2311yescharacteristic
406#13093946C2311yescharacteristic
407#13093946C2311yescharacteristic
408#13093946C2311yescharacteristic
409#13093946C2311yescharacteristic
410#13093946C2311yescharacteristic
411#13093945C2311yescharacteristic
412#13093945C2311yescharacteristic
413#13093945C2311yescharacteristic
414#13093945C2311yescharacteristic
415#13093944C2311yescharacteristic
416#13093944C2311yescharacteristic
417#13093944C2311yescharacteristic
418#13093944C2311yescharacteristic
419#13093944C2311yescharacteristic
420#13093944C2311yescharacteristic
421#13093944C2311yescharacteristic
422#13093944C2311yescharacteristic
423#13093944C2311yescharacteristic
424#13093944C2311yescharacteristic
425#13093944C2311yescharacteristic
426#13093944C2311yescharacteristic
427C22⋊(C47⋊C8)C2311yescharacteristic
428C22⋊(C47⋊C8)C2311yescharacteristic
429(C2×D47)⋊C8C2311yescharacteristic
430(C2×D47)⋊C8C2311yescharacteristic
431#13093935C2311yescharacteristic
432#13093934C2311yescharacteristic
433#13093934C2311yescharacteristic
434C8×Dic47C2311yescharacteristic
435C8×Dic47C2311yescharacteristic
436C2×#41×C47—21no—
437C2×D8×C47C2311yescharacteristic
438C2×M16×C47C2311yescharacteristic
439C22×C8×C47C2311yescharacteristic
440C4⋊Q8×C47C2311yescharacteristic
441#126×C47—21no—
442#125×C47C2311yescharacteristic
443#123×C47—21no—
444#123×C47—21no—
445#123×C47—21no—
446C22⋊Q8×C47—21no—
447#121×C47—21no—
448#121×C47C2311yescharacteristic
449#121×C47C2311yescharacteristic
450#121×C47C2311yescharacteristic
451#121×C47C2311yescharacteristic
452C4×D4×C47—21no—
453C4×D4×C47C2311yescharacteristic
454C4×D4×C47C2311yescharacteristic
455C4×D4×C47C2311yescharacteristic
456#117×C47C2311yescharacteristic
457C2×C4⋊C4×C47C2311yescharacteristic
458C2×C4⋊C4×C47C2311yescharacteristic
459C2×C4⋊C4×C47C2311yescharacteristic
460#107×C47C2311yescharacteristic
461#107×C47C2311yescharacteristic
462#107×C47C2311yescharacteristic
463#106×C47C2311yescharacteristic
464#106×C47C2311yescharacteristic
465#106×C47C2311yescharacteristic
466#106×C47C2311yescharacteristic
467#106×C47C2311yescharacteristic
468#106×C47C2311yescharacteristic
469C4⋊C8×C47C2311yescharacteristic
470#102×C47C2311yescharacteristic
471#102×C47C2311yescharacteristic
472#102×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#102×C47C2311yescharacteristic
476C22⋊C8×C47C2311yescharacteristic
477C22⋊C8×C47C2311yescharacteristic
478#97×C47C2311yescharacteristic
479C23×D47—21no—
480C23×D47—21no—
481C23×D47—21no—
482#41×C47—44no—
483C2×Q8×C47—21no—
484C2×D4×C47—21no—
485C2×D4×C47—21no—
486C2×D4×C47—21no—
487C2×D4×C47—21no—
488C2×D4×C47C2×D411yescharacteristic
489C2×D4×C47C2411yescharacteristic
490C2×D4×C47C2411yescharacteristic
491C22×C4×C47—21no—
492C22×C4×C47—21no—
493C22×C4×C47—21no—
494C22×C4×C47—21no—
495C22×C4×C47—21no—
496C22×C4×C47C2411yescharacteristic
497C22×C4×C47C2411yescharacteristic
498C2×C22⋊D47—21no—
499C2×C22⋊D47—21no—
500C2×C22⋊D47—21no—
501C2×C22⋊D47—21no—
502C2×C22⋊D47—21no—
503C2×C22⋊D47—21no—
504C2×C22⋊D47—21no—
505C2×C22⋊D47—21no—
506C2×C22⋊D47—21no—
507C2×C22⋊D47—21no—
508C2×C22⋊D47—21no—
509C2×C22⋊D47—21no—
510C2×C22⋊D47C2×D411yescharacteristic
511C2×C22⋊D47C2×D411yescharacteristic
512C22×Dic47—21no—
513C22×Dic47—21no—
514C22×Dic47—21no—
515C22×Dic47—21no—
516C22×Dic47C2×D411yescharacteristic
517C22×Dic47C2×D411yescharacteristic
518C22×Dic47C2×D411yescharacteristic
519C22×Dic47C2×D411yescharacteristic
520#10625354—44no—
521Q8×D47—44no—
522#10625352—24no—
523#10625352—44no—
524#10625352—44no—
525#10625352—44no—
526#10625352—82no—
527D4×D47—22no—
528D4×D47—41no—
529D4×D47—44no—
530D4×D47—44no—
531D4×D47—44no—
532#10625350—44no—
533#10625350—44no—
534#10625350—44no—
535#10625350—82no—
536C2×D188—22no—
537C2×D188—22no—
538C2×D188—21no—
539C2×D188—21no—
540C2×D188—21no—
541C2×D188—21no—
542C2×D188—21no—
543C2×D188—21no—
544C2×D188—21no—
545C2×D188—41no—
546C2×D188—41no—
547C2×D188C2411yescharacteristic
548C2×D188C2411yescharacteristic
549C2×D188C2411yescharacteristic
550C2×D188C2411yescharacteristic
551C2×C4×D47—21no—
552C2×C4×D47—21no—
553C2×C4×D47—21no—
554C2×C4×D47—21no—
555C2×C4×D47—21no—
556C2×C4×D47—21no—
557C2×C4×D47—21no—
558C2×C4×D47—21no—
559C2×C4×D47—21no—
560C2×C4×D47—21no—
561C2×C4×D47—21no—
562C2×C4×D47—21no—
563C2×C4×D47—44no—
564C2×C4×D47—44no—
565C2×C4×D47—44no—
566C2×C4×D47C2×D411yescharacteristic
567C2×C4×D47C2×D411yescharacteristic
568C2×C4×D47C2411yescharacteristic
569C2×Dic94—21no—
570C2×Dic94—21no—
571C2×Dic94—21no—
572C2×Dic94—21no—
573C2×Dic94—21no—
574C2×Dic94—21no—
575C2×Dic94—21no—
576C2×Dic94—82no—
577C2×Dic94C2×D411yescharacteristic
578D8×C47—41no—
579M16×C47—41no—
580C2×C8×C47—41no—
581C2×C8×C47C2411yescharacteristic
582C2×C8×C47C2411yescharacteristic
583C2×C8×C47C2411yescharacteristic
584C2×C8×C47C2411yescharacteristic
585C4⋊C4×C47—21no—
586C4⋊C4×C47—21no—
587C4⋊C4×C47—21no—
588C4⋊C4×C47—21no—
589C4⋊C4×C47—21no—
590C4⋊C4×C47—21no—
591C4⋊C4×C47C2×D411yescharacteristic
592C4⋊C4×C47C2411yescharacteristic
593C4⋊C4×C47C2411yescharacteristic
594C4⋊C4×C47C2411yescharacteristic
595C4⋊C4×C47C2411yescharacteristic
596C4⋊C4×C47C2411yescharacteristic
597C4⋊C4×C47C2411yescharacteristic
598C22⋊C4×C47—21no—
599C22⋊C4×C47—21no—
600C22⋊C4×C47—21no—
601C22⋊C4×C47—21no—
602C22⋊C4×C47—21no—
603C22⋊C4×C47—21no—
604C22⋊C4×C47—21no—
605C22⋊C4×C47C2×D411yescharacteristic
606C22⋊C4×C47C2×D411yescharacteristic
607C42×C47—21no—
608C42×C47C2411yescharacteristic
609C22⋊Dic47—21no—
610C22⋊Dic47—21no—
611C22⋊Dic47—21no—
612C22⋊Dic47—21no—
613C22⋊Dic47—21no—
614C22⋊Dic47C2×D411yescharacteristic
615C22⋊Dic47C2×D411yescharacteristic
616#10625334—22no—
617#10625334—41no—
618#10625334—41no—
619#10625334—41no—
620(C2×D47)⋊C4—21no—
621(C2×D47)⋊C4—21no—
622(C2×D47)⋊C4—21no—
623(C2×D47)⋊C4—21no—
624(C2×D47)⋊C4—21no—
625(C2×D47)⋊C4—21no—
626(C2×D47)⋊C4—21no—
627(C2×D47)⋊C4—21no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4—21no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4—21no—
638(C2×D47)⋊C4—21no—
639(C2×D47)⋊C4—21no—
640(C2×D47)⋊C4C2×D411yescharacteristic
641(C2×D47)⋊C4C2×D411yescharacteristic
642C4⋊Dic47—21no—
643C4⋊Dic47—21no—
644C4⋊Dic47—21no—
645C4⋊Dic47C2×D411yescharacteristic
646C4⋊Dic47C2411yescharacteristic
647C4⋊Dic47C2411yescharacteristic
648C4⋊Dic47C2411yescharacteristic
649C4⋊Dic47C2411yescharacteristic
650Dic47⋊C4—21no—
651Dic47⋊C4—21no—
652Dic47⋊C4—21no—
653Dic47⋊C4—21no—
654Dic47⋊C4—21no—
655Dic47⋊C4—21no—
656Dic47⋊C4—21no—
657Dic47⋊C4—21no—
658Dic47⋊C4—21no—
659Dic47⋊C4—21no—
660Dic47⋊C4—21no—
661Dic47⋊C4—21no—
662Dic47⋊C4C2×D411yescharacteristic
663Dic47⋊C4C2×D411yescharacteristic
664Dic47⋊C4C2×D411yescharacteristic
665Dic47⋊C4C2×D411yescharacteristic
666C4×Dic47—21no—
667C4×Dic47—21no—
668C4×Dic47—21no—
669C4×Dic47C2×D411yescharacteristic
670C4×Dic47C2×D411yescharacteristic
671C4×Dic47C2×D411yescharacteristic
672C4×Dic47C2×D411yescharacteristic
673C4×Dic47C2×D411yescharacteristic
674C4×Dic47C2×D411yescharacteristic
675C4×Dic47C2411yescharacteristic
676C4×Dic47C2411yescharacteristic
677C4×Dic47C2411yescharacteristic
678#10625329—41no—
679C2×C47⋊C8—41no—
680C2×C47⋊C8C2411yescharacteristic
681C2×C47⋊C8C2411yescharacteristic
682C2×C47⋊C8C2411yescharacteristic
683C2×C47⋊C8C2411yescharacteristic
684D376—22no—
685D376—41no—
686D376—41no—
687#10625324—41no—
688#10625324—41no—
689C23×C47—21no—
690C23×C47—21no—
691C23×C47C22×D411yescharacteristic
692C23×C47C22×D411yescharacteristic
693C22×D47—21no—
694C22×D47—21no—
695C22×D47—21no—
696C22×D47—21no—
697C22×D47—42no—
698C22×D47—42no—
699C22×D47—42no—
700C22×D47—42no—
701C22×D47—42no—
702C22×D47—42no—
703C22×D47—81no—
704C22×D47—81no—
705C22×D47—81no—
706C22×D47C22×D411yescharacteristic
707Q8×C47—42no—
708D4×C47—22no—
709D4×C47—21no—
710D4×C47—21no—
711D4×C47—21no—
712D4×C47—21no—
713D4×C47—42no—
714D4×C47—42no—
715D4×C47—42no—
716D4×C47—81no—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—21no—
722C2×C4×C47—21no—
723C2×C4×C47—21no—
724C2×C4×C47—21no—
725C2×C4×C47—21no—
726C2×C4×C47—21no—
727C2×C4×C47—42no—
728C2×C4×C47—42no—
729C2×C4×C47—42no—
730C2×C4×C47—81no—
731C2×C4×C47—81no—
732C2×C4×C47C22×D411yescharacteristic
733C2×C4×C47C22×D411yescharacteristic
734C2×C4×C47C22×D411yescharacteristic
735C2×C4×C47C22×D411yescharacteristic
736C2×C4×C47C2511yescharacteristic
737C22⋊D47—22no—
738C22⋊D47—22no—
739C22⋊D47—42no—
740C22⋊D47—42no—
741C22⋊D47—42no—
742C22⋊D47—42no—
743C22⋊D47—42no—
744C22⋊D47—42no—
745C22⋊D47—42no—
746C22⋊D47—42no—
747C22⋊D47—81no—
748C22⋊D47—81no—
749C22⋊D47—81no—
750C22⋊D47—81no—
751C2×Dic47—22no—
752C2×Dic47—21no—
753C2×Dic47—21no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—41no—
757C2×Dic47—41no—
758C2×Dic47—42no—
759C2×Dic47—42no—
760C2×Dic47—81no—
761C2×Dic47—81no—
762C2×Dic47AGL(1,ℤ/8)14yes—
763C2×Dic47C22×D411yescharacteristic
764C2×Dic47C22×D411yescharacteristic
765C2×Dic47C22×D411yescharacteristic
766C2×Dic47C22×D411yescharacteristic
767C2×Dic47C22×D411yescharacteristic
768C2×Dic47C22×D411yescharacteristic
769C2×Dic47C22×D411yescharacteristic
770D188—21no—
771D188—21no—
772D188—21no—
773D188—21no—
774D188—21no—
775D188—21no—
776D188—21no—
777D188—42no—
778D188—42no—
779D188—42no—
780D188—42no—
781D188—42no—
782D188—81no—
783D188—81no—
784D1882−1+412yes—
785C4×D47—21no—
786C4×D47—21no—
787C4×D47—22no—
788C4×D47—41no—
789C4×D47—42no—
790C4×D47—42no—
791C4×D47—42no—
792C4×D47—42no—
793C4×D47—42no—
794C4×D47—42no—
795C4×D47—42no—
796C4×D47—42no—
797C4×D47—42no—
798C4×D47—42no—
799C4×D47—81no—
800C4×D47—81no—
801Dic94—22no—
802Dic94—42no—
803Dic94—42no—
804Dic94—42no—
805Dic94—42no—
806Dic94—42no—
807Dic94—81no—
808Dic94—81no—
809C8×C47—21no—
810C8×C47—21no—
811C8×C47—21no—
812C8×C47—21no—
813C47⋊C8—21no—
814C47⋊C8—21no—
815C47⋊C8—21no—
816C47⋊C8—21no—
817#62110—471nomaximal, Sylow
818C22×C47—21no—
819C22×C47—21no—
820C22×C47—21no—
821C22×C47—21no—
822C22×C47—21no—
823C22×C47—41no—
824C22×C47—41no—
825C22×C47—41no—
826C22×C47—41no—
827C22×C47—41no—
828C22×C47—41no—
829C22×C47C2×AGL(1,ℤ/8)12yes—
830C22×C47C23×D411yescharacteristic
831C2×D47—21no—
832C2×D47—21no—
833C2×D47—22no—
834C2×D47—21no—
835C2×D47—41no—
836C2×D47—41no—
837C2×D47—41no—
838C2×D47—41no—
839C2×D47—41no—
840C2×D47—41no—
841C2×D47—41no—
842C2×D47—41no—
843C2×D47—41no—
844C2×D47—41no—
845C2×D47—41no—
846C2×D47—84no—
847C2×D47—84no—
848C2×D47—84no—
849C4×C47—21no—
850C4×C47—21no—
851C4×C47—21no—
852C4×C47—21no—
853C4×C47—41no—
854C4×C47—41no—
855C4×C47—41no—
856C4×C47—41no—
857C4×C47—41no—
858C4×C47—41no—
859C4×C47C2×2−1+411yescharacteristic
860C4×C47#58511yescharacteristic
861Dic47—21no—
862Dic47—21no—
863Dic47—21no—
864Dic47—21no—
865Dic47—21no—
866Dic47—41no—
867Dic47—41no—
868Dic47—41no—
869Dic47—41no—
870Dic47C2×AGL(1,ℤ/8)12yes—
871Dic47C2×AGL(1,ℤ/8)12yes—
872#3511—471no—
873D4×#41—471no—
874#3384—471no—
875#3384—471no—
876#3366—471no—
877#3366—471no—
878#3354—471no—
879#3354—471no—
880#3345—471no—
881#3345—471no—
882#3345—471no—
883#3345D4711yescharacteristic, complemented
884#3325—471no—
885#3325—471no—
886#3318—471no—
887#3318—471no—
888#3318—471no—
889#3318—471no—
890#3253—471no—
891#3253—471no—
892#3245—471no—
893#3235—471no—
894#3235—471no—
895#3227—471no—
896#3109—471no—
897#3109—471no—
898#3100—471no—
899#3077—471no—
900#3077—471no—
901C2×#476—471no—
902#2989—471no—
903C2×C47—22no—
904C2×C47—41no—
905C2×C47—81no—
906C2×C47—81no—
907C2×C47#348911yescharacteristic
908C2×C47C22×AGL(1,ℤ/8)11yescharacteristic
909C2×C47#358511yescharacteristic
910D47—41no—
911D47—42no—
912D47—81no—
913D47—81no—
914D47—81no—
915C22×#41—941no—
916#556—941no—
917#555—471no—
918#555—471no—
919#554—471no—
920#554—471no—
921#553—471no—
922#553—471no—
923#553—471no—
924#553C2×D4711yescharacteristic, complemented
925#550—471no—
926D4×Q8—471no—
927#548—941no—
928#548—941no—
929#548—941no—
930#547—471no—
931#547—471no—
932#547—941no—
933#547C2×D4711yescharacteristic
934#546—941no—
935#546—941no—
936#546—941no—
937D42—471no—
938D42—471no—
939D42—471no—
940#542—941no—
941#542—941no—
942#537—941no—
943#533—471no—
944#533—471no—
945#532—471no—
946#532—471no—
947#532—471no—
948#532—471no—
949#532—471no—
950#532—471no—
951C2×C4⋊Q8—471no—
952#525—941no—
953#525—941no—
954#525—941no—
955#520—941no—
956C4×#41—471no—
957C2×C4×D4—471no—
958C2×C4×D4—471no—
959C2×C4×D4—471no—
960#501—471no—
961#501—471no—
962#501—471no—
963#501C2×D4711yescharacteristic, complemented
964#498—471no—
965#498—471no—
966#490—471no—
967#490—471no—
968#490—471no—
969#490—471no—
970#486—471no—
971#486—471no—
972#482—471no—
973#482—471no—
974#482—471no—
975#482—471no—
976#482—471no—
977#482—471no—
978#482—471no—
979#482C2×D4711yescharacteristic, complemented
980#481—471no—
981#481—471no—
982#481—471no—
983#481—471no—
984#481—471no—
985#481—471no—
986#481C2×D4711yescharacteristic, complemented
987#481C2×D4711yescharacteristic, complemented
988#480—471no—
989#480C2×D4711yescharacteristic, complemented
990#478—471no—
991#478—471no—
992#478—471no—
993#478—471no—
994#478—471no—
995#478—471no—
996#478—471no—
997#478C2×D4711yescharacteristic, complemented
998#476—471no—
999#476—471no—
1000#476—471no—
1001#476—471no—
1002#476—471no—
1003#476—471no—
1004#476—471no—
1005#476—471no—
1006#476—471no—
1007#476—471no—
1008#476—471no—
1009#476—471no—
1010#476—471no—
1011#476—471no—
1012#476—471no—
1013#476C2×D4711yescharacteristic, complemented
1014#474—471no—
1015#474—471no—
1016#474—471no—
1017#474—471no—
1018#474—471no—
1019#474—471no—
1020#469—471no—
1021#469—471no—
1022#469—471no—
1023#469—471no—
1024#469—471no—
1025#469—471no—
1026#469—471no—
1027#469C2×D4711yescharacteristic, complemented
1028#466—471no—
1029#466—471no—
1030#466—471no—
1031#466C2×D4711yescharacteristic, complemented
1032#459—471no—
1033#459—471no—
1034#459—471no—
1035#459—471no—
1036#459—471no—
1037#459—471no—
1038#459—471no—
1039#459—471no—
1040#459—471no—
1041#459—471no—
1042#447—471no—
1043#447—471no—
1044#447—471no—
1045#447—471no—
1046#447—471no—
1047#447—471no—
1048#446—471no—
1049#446—471no—
1050#442—471no—
1051#442—471no—
1052#442—471no—
1053#442—471no—
1054#442—471no—
1055#442—471no—
1056#442—471no—
1057#442C2×D4711yescharacteristic, complemented
1058C4×D8—471no—
1059C4×D8—471no—
1060C4×D8—471no—
1061C4×D8—471no—
1062#436—471no—
1063#436—471no—
1064#435—471no—
1065#435—471no—
1066#435—471no—
1067#435C2×D4711yescharacteristic, complemented
1068#432—471no—
1069#432—471no—
1070#431—471no—
1071#428—471no—
1072#428—471no—
1073#428—471no—
1074#428C2×D4711yescharacteristic, complemented
1075C2×#106—471no—
1076C2×#106C2×D4711yescharacteristic, complemented
1077#423—471no—
1078#423—471no—
1079C2×C4⋊C8—471no—
1080#418—471no—
1081#418—471no—
1082#418—471no—
1083#418—471no—
1084C2×#102—471no—
1085C2×#102—471no—
1086C47#6211011yescharacteristic, complemented, Sylow
1087C2×#41—21no—
1088C2×#41—471no—
1089C2×#41—941no—
1090C2×#41—941no—
1091C2×#41—941no—
1092C2×#41—941no—
1093C2×#41—941no—
1094C2×#41—941no—
1095C2×#41—941no—
1096C2×#41—941no—
1097C2×#41—941no—
1098C2×#41—1888no—
1099C22×Q8—941no—
1100C22×Q8—941no—
1101C22×D4—471no—
1102C22×D4—471no—
1103C22×D4—471no—
1104C22×D4—941no—
1105C22×D4—941no—
1106C22×D4—941no—
1107C23×C4—941no—
1108C23×C4—941no—
1109C23×C4—941no—
1110C2×D8—471no—
1111C2×D8—471no—
1112C2×D8—471no—
1113C2×D8—471no—
1114C2×D8—471no—
1115C2×D8—471no—
1116C2×D8—471no—
1117C2×D8C22×D4711yescharacteristic
1118C2×M16—471no—
1119C2×M16—471no—
1120C2×M16—471no—
1121C2×M16C22×D4711yescharacteristic
1122C22×C8—471no—
1123C22×C8C22×D4711yescharacteristic
1124C4⋊Q8—471no—
1125C4⋊Q8—471no—
1126C4⋊Q8—471no—
1127C4⋊Q8—471no—
1128C4⋊Q8—471no—
1129C4⋊Q8—471no—
1130C4⋊Q8—471no—
1131C4⋊Q8—941no—
1132C4⋊Q8—941no—
1133C4⋊Q8C22×D4711yescharacteristic
1134#127—471no—
1135#127—471no—
1136#127—471no—
1137#127—471no—
1138#126—21no—
1139#126—941no—
1140#126—941no—
1141#126—941no—
1142#125—471no—
1143#125—471no—
1144#125—471no—
1145#125C22×D4711yescharacteristic
1146#124—941no—
1147#124—941no—
1148#124—941no—
1149#124—941no—
1150#124—941no—
1151#124—941no—
1152#124—941no—
1153#124—941no—
1154#124—941no—
1155#124—941no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—941no—
1160#123—941no—
1161#123—941no—
1162#123—941no—
1163#123—941no—
1164#123—941no—
1165#123—941no—
1166C22⋊Q8—21no—
1167C22⋊Q8—941no—
1168C22⋊Q8—941no—
1169C22⋊Q8—941no—
1170C22⋊Q8—941no—
1171C22⋊Q8—941no—
1172C22⋊Q8—941no—
1173C22⋊Q8—941no—
1174C22⋊Q8—941no—
1175C22⋊Q8—941no—
1176C22⋊Q8—941no—
1177C22⋊Q8—941no—
1178C22⋊Q8—941no—
1179C22⋊Q8—941no—
1180C22⋊Q8—941no—
1181C22⋊Q8—941no—
1182#121—21no—
1183#121—471no—
1184#121—471no—
1185#121—471no—
1186#121—471no—
1187#121—471no—
1188#121—471no—
1189#121—471no—
1190#121—471no—
1191#121—941no—
1192#121—941no—
1193#121—941no—
1194#121—941no—
1195#121—941no—
1196#121—941no—
1197#121—941no—
1198#121—941no—
1199#121—941no—
1200#121—941no—
1201#121—941no—
1202#121—941no—
1203#121—941no—
1204#121—941no—
1205#121—941no—
1206#121—941no—
1207#121—941no—
1208#121C22×D4711yescharacteristic
1209#121C22×D4711yescharacteristic
1210#121C22×D4711yescharacteristic
1211#121C22×D4711yescharacteristic
1212#120—941no—
1213#120—941no—
1214#120—941no—
1215#120—941no—
1216#120—941no—
1217#120—941no—
1218C4×Q8—471no—
1219C4×Q8—471no—
1220C4×Q8—941no—
1221C4×Q8—941no—
1222C4×Q8—941no—
1223C4×Q8—941no—
1224C4×D4—21no—
1225C4×D4—471no—
1226C4×D4—471no—
1227C4×D4—471no—
1228C4×D4—471no—
1229C4×D4—471no—
1230C4×D4—471no—
1231C4×D4—471no—
1232C4×D4—471no—
1233C4×D4—471no—
1234C4×D4—471no—
1235C4×D4—471no—
1236C4×D4—471no—
1237C4×D4—471no—
1238C4×D4—471no—
1239C4×D4—471no—
1240C4×D4—471no—
1241C4×D4—471no—
1242C4×D4—471no—
1243C4×D4—471no—
1244C4×D4—941no—
1245C4×D4—941no—
1246C4×D4—941no—
1247C4×D4—941no—
1248C4×D4—941no—
1249C4×D4—941no—
1250C4×D4—941no—
1251C4×D4—941no—
1252C4×D4—941no—
1253C4×D4—941no—
1254C4×D4—941no—
1255C4×D4—941no—
1256C4×D4—941no—
1257C4×D4—941no—
1258C4×D4—941no—
1259C4×D4C22×D4711yescharacteristic
1260C4×D4C22×D4711yescharacteristic
1261C4×D4C22×D4711yescharacteristic
1262#117—471no—
1263#117—471no—
1264#117—471no—
1265#117—471no—
1266#117—471no—
1267#117—471no—
1268#117—941no—
1269#117—941no—
1270#117C22×D4711yescharacteristic
1271C2×C4⋊C4—471no—
1272C2×C4⋊C4—471no—
1273C2×C4⋊C4—941no—
1274C2×C4⋊C4—941no—
1275C2×C4⋊C4—941no—
1276C2×C4⋊C4C22×D4711yescharacteristic
1277C2×C4⋊C4C22×D4711yescharacteristic
1278C2×C4⋊C4C22×D4711yescharacteristic
1279C2×C22⋊C4—941no—
1280C2×C22⋊C4—941no—
1281C2×C22⋊C4—941no—
1282C2×C42—471no—
1283C2×C42—471no—
1284C2×C42—471no—
1285#107—471no—
1286#107—471no—
1287#107—471no—
1288#107—471no—
1289#107—471no—
1290#107C22×D4711yescharacteristic
1291#107C22×D4711yescharacteristic
1292#107C22×D4711yescharacteristic
1293#106—471no—
1294#106—471no—
1295#106—471no—
1296#106—471no—
1297#106—471no—
1298#106—471no—
1299#106—471no—
1300#106—471no—
1301#106—471no—
1302#106—471no—
1303#106C22×D4711yescharacteristic
1304#106C22×D4711yescharacteristic
1305#106C22×D4711yescharacteristic
1306#106C22×D4711yescharacteristic
1307#106C22×D4711yescharacteristic
1308#106C22×D4711yescharacteristic
1309C4⋊C8—471no—
1310C4⋊C8—471no—
1311C4⋊C8—471no—
1312C4⋊C8—471no—
1313C4⋊C8—471no—
1314C4⋊C8—471no—
1315C4⋊C8—471no—
1316C4⋊C8—471no—
1317C4⋊C8—471no—
1318C4⋊C8C22×D4711yescharacteristic
1319#102—471no—
1320#102—471no—
1321#102—471no—
1322#102—471no—
1323#102—471no—
1324#102—471no—
1325#102—471no—
1326#102—471no—
1327#102—471no—
1328#102—471no—
1329#102—471no—
1330#102—471no—
1331#102—471no—
1332#102—471no—
1333#102—471no—
1334#102—471no—
1335#102—471no—
1336#102—471no—
1337#102—471no—
1338#102—471no—
1339#102—471no—
1340#102—471no—
1341#102—471no—
1342#102—471no—
1343#102—471no—
1344#102—471no—
1345#102C22×D4711yescharacteristic
1346#102C22×D4711yescharacteristic
1347#102C22×D4711yescharacteristic
1348#102C22×D4711yescharacteristic
1349#102C22×D4711yescharacteristic
1350#102C22×D4711yescharacteristic
1351C22⋊C8—471no—
1352C22⋊C8—471no—
1353C22⋊C8—471no—
1354C22⋊C8—471no—
1355C22⋊C8C22×D4711yescharacteristic
1356C22⋊C8C22×D4711yescharacteristic
1357#97—471no—
1358#97—471no—
1359#97—471no—
1360#97C22×D4711yescharacteristic
1361C4×C8—471no—
1362C4×C8—471no—
1363C24—941no—
1364C24—941no—
1365C24—941no—
1366#41—44no—
1367#41—944no—
1368#41—3762no—
1369#41—3762no—
1370#41—1884no—
1371#41—1884no—
1372#41—1884no—
1373#41—1884no—
1374#41—1884no—
1375#41—1884no—
1376#41—1884no—
1377C2×Q8—21no—
1378C2×Q8—471no—
1379C2×Q8—941no—
1380C2×Q8—941no—
1381C2×Q8—941no—
1382C2×Q8—941no—
1383C2×Q8—941no—
1384C2×Q8—941no—
1385C2×Q8—941no—
1386C2×Q8—3762no—
1387C2×Q8—1884no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—471no—
1393C2×D4—471no—
1394C2×D4—471no—
1395C2×D4—471no—
1396C2×D4—471no—
1397C2×D4—471no—
1398C2×D4—942no—
1399C2×D4—942no—
1400C2×D4—941no—
1401C2×D4—941no—
1402C2×D4—941no—
1403C2×D4—941no—
1404C2×D4—941no—
1405C2×D4—941no—
1406C2×D4—941no—
1407C2×D4—941no—
1408C2×D4—941no—
1409C2×D4—941no—
1410C2×D4—942no—
1411C2×D4—941no—
1412C2×D4—941no—
1413C2×D4—941no—
1414C2×D4—941no—
1415C2×D4—941no—
1416C2×D4—941no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—1881no—
1421C2×D4—1881no—
1422C2×D4—1881no—
1423C2×D4—1884no—
1424C2×D4—1884no—
1425C2×D4—1884no—
1426C2×D4D4×D4711yescharacteristic
1427C2×D4C23×D4711yescharacteristic
1428C2×D4C23×D4711yescharacteristic
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—471no—
1435C22×C4—471no—
1436C22×C4—471no—
1437C22×C4—471no—
1438C22×C4—471no—
1439C22×C4—471no—
1440C22×C4—471no—
1441C22×C4—941no—
1442C22×C4—941no—
1443C22×C4—941no—
1444C22×C4—941no—
1445C22×C4—941no—
1446C22×C4—941no—
1447C22×C4—941no—
1448C22×C4—941no—
1449C22×C4—941no—
1450C22×C4—941no—
1451C22×C4—941no—
1452C22×C4—941no—
1453C22×C4—941no—
1454C22×C4—941no—
1455C22×C4—941no—
1456C22×C4—941no—
1457C22×C4—1884no—
1458C22×C4—1884no—
1459C22×C4—1884no—
1460C22×C4C23×D4711yescharacteristic
1461C22×C4C23×D4711yescharacteristic
1462D8—41no—
1463D8—942no—
1464D8—942no—
1465D8—1881no—
1466D8—1881no—
1467D8—1881no—
1468D8—1881no—
1469D8—1881no—
1470M16—41no—
1471M16—1881no—
1472M16—1881no—
1473M16—1881no—
1474C2×C8—41no—
1475C2×C8—471no—
1476C2×C8—471no—
1477C2×C8—471no—
1478C2×C8—471no—
1479C2×C8—1881no—
1480C2×C8C23×D4711yescharacteristic
1481C2×C8C23×D4711yescharacteristic
1482C2×C8C23×D4711yescharacteristic
1483C2×C8C23×D4711yescharacteristic
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—471no—
1491C4⋊C4—471no—
1492C4⋊C4—471no—
1493C4⋊C4—471no—
1494C4⋊C4—471no—
1495C4⋊C4—471no—
1496C4⋊C4—471no—
1497C4⋊C4—471no—
1498C4⋊C4—471no—
1499C4⋊C4—941no—
1500C4⋊C4—941no—
1501C4⋊C4—941no—
1502C4⋊C4—941no—
1503C4⋊C4—941no—
1504C4⋊C4—941no—
1505C4⋊C4—941no—
1506C4⋊C4—941no—
1507C4⋊C4—941no—
1508C4⋊C4—941no—
1509C4⋊C4—941no—
1510C4⋊C4—941no—
1511C4⋊C4—941no—
1512C4⋊C4—941no—
1513C4⋊C4—941no—
1514C4⋊C4D4×D4711yescharacteristic
1515C4⋊C4C23×D4711yescharacteristic
1516C4⋊C4C23×D4711yescharacteristic
1517C4⋊C4C23×D4711yescharacteristic
1518C4⋊C4C23×D4711yescharacteristic
1519C4⋊C4C23×D4711yescharacteristic
1520C4⋊C4C23×D4711yescharacteristic
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—471no—
1529C22⋊C4—471no—
1530C22⋊C4—471no—
1531C22⋊C4—471no—
1532C22⋊C4—941no—
1533C22⋊C4—941no—
1534C22⋊C4—941no—
1535C22⋊C4—941no—
1536C22⋊C4—941no—
1537C22⋊C4—941no—
1538C22⋊C4—941no—
1539C22⋊C4—941no—
1540C22⋊C4—941no—
1541C22⋊C4—941no—
1542C22⋊C4—941no—
1543C22⋊C4—941no—
1544C22⋊C4—941no—
1545C22⋊C4—941no—
1546C22⋊C4—941no—
1547C22⋊C4—941no—
1548C22⋊C4—941no—
1549C22⋊C4—941no—
1550C22⋊C4—941no—
1551C22⋊C4—941no—
1552C22⋊C4—941no—
1553C22⋊C4—941no—
1554C22⋊C4—941no—
1555C22⋊C4—941no—
1556C22⋊C4—941no—
1557C22⋊C4D4×D4711yescharacteristic
1558C22⋊C4D4×D4711yescharacteristic
1559C42—21no—
1560C42—471no—
1561C42—471no—
1562C42—471no—
1563C42—471no—
1564C42—471no—
1565C42—471no—
1566C42—471no—
1567C42—471no—
1568C42—471no—
1569C42—941no—
1570C42—941no—
1571C42—941no—
1572C42C23×D4711yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—471no—
1576C23—941no—
1577C23—941no—
1578C23—941no—
1579C23—941no—
1580C23—3761no—
1581C23—3761no—
1582C23—3761no—
1583C23—1882no—
1584C23—1882no—
1585C23—1882no—
1586C23—1882no—
1587C23—1882no—
1588C23—1882no—
1589C23C2×D4×D4711yescharacteristic
1590C23C2×D4×D4711yescharacteristic
1591Q8—42no—
1592Q8—942no—
1593Q8—3761no—
1594Q8—3761no—
1595Q8—1882no—
1596Q8—1882no—
1597Q8—1882no—
1598Q8—1882no—
1599Q8—1882no—
1600D4—22no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—42no—
1606D4—42no—
1607D4—42no—
1608D4—81no—
1609D4—472no—
1610D4—942no—
1611D4—942no—
1612D4—941no—
1613D4—941no—
1614D4—941no—
1615D4—941no—
1616D4—941no—
1617D4—941no—
1618D4—941no—
1619D4—3761no—
1620D4—3761no—
1621D4—3761no—
1622D4—3761no—
1623D4—3761no—
1624D4—3761no—
1625D4—1882no—
1626D4—1882no—
1627D4—1882no—
1628D4—1882no—
1629D4—1882no—
1630D4—1882no—
1631D4—1882no—
1632D4—1882no—
1633D4—1882no—
1634D4—1882no—
1635D4—1882no—
1636D4—1882no—
1637D4—1882no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—42no—
1649C2×C4—42no—
1650C2×C4—42no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—474no—
1654C2×C4—471no—
1655C2×C4—471no—
1656C2×C4—471no—
1657C2×C4—471no—
1658C2×C4—471no—
1659C2×C4—471no—
1660C2×C4—471no—
1661C2×C4—942no—
1662C2×C4—942no—
1663C2×C4—941no—
1664C2×C4—941no—
1665C2×C4—941no—
1666C2×C4—941no—
1667C2×C4—941no—
1668C2×C4—941no—
1669C2×C4—3761no—
1670C2×C4—3761no—
1671C2×C4—3761no—
1672C2×C4—3761no—
1673C2×C4—1881no—
1674C2×C4—1882no—
1675C2×C4—1882no—
1676C2×C4—1882no—
1677C2×C4—1882no—
1678C2×C4—1882no—
1679C2×C4—1882no—
1680C2×C4—1882no—
1681C2×C4—1882no—
1682C2×C4—1882no—
1683C2×C4—1882no—
1684C2×C4—1882no—
1685C2×C4—1882no—
1686C2×C4—1881no—
1687C2×C4—1881no—
1688C2×C4C2×D4×D4711yescharacteristic
1689C2×C4C2×D4×D4711yescharacteristic
1690C2×C4C2×D4×D4711yescharacteristic
1691C2×C4C2×D4×D4711yescharacteristic
1692C2×C4C24×D4711yescharacteristic
1693C8—21no—
1694C8—21no—
1695C8—21no—
1696C8—21no—
1697C8—941no—
1698C8—941no—
1699C8—941no—
1700C8—941no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—21no—
1705C22—21no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—941no—
1713C22—942no—
1714C22—941no—
1715C22—941no—
1716C22—3764no—
1717C22—3764no—
1718C22—3764no—
1719C22—1881no—
1720C22—1881no—
1721C22—1881no—
1722C22—1881no—
1723C22—1881no—
1724C22—1881no—
1725C22—1881no—
1726C22—1881no—
1727C22—1881no—
1728C22—1881no—
1729C22—1881no—
1730C22AGL(1,ℤ/8)×D4712yes—
1731C22C22×D4×D4711yescharacteristic
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—21no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—472no—
1743C4—472no—
1744C4—941no—
1745C4—941no—
1746C4—941no—
1747C4—941no—
1748C4—941no—
1749C4—1881no—
1750C4—1881no—
1751C4—1881no—
1752C4—1881no—
1753C42−1+4×D4711yescharacteristic
1754C4#1568995911yescharacteristic
1755C2—22no—
1756C2—41no—
1757C2—81no—
1758C2—81no—
1759C2—3761no—
1760C2—3761no—
1761C2—3761no—
1762C2—1881no—
1763C2—1882no—
1764C2#2025706211yescharacteristic
1765C2C2×AGL(1,ℤ/8)×D4711yescharacteristic
1766C2#2025816611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3345C2
socleC22×C47C23×D4
hypercenter#3345D47
hypocenterC47#62110
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #20257290C2semidirect
2. #20256875C2semidirect
3. #20256284C2semidirect
4. #20256282C2semidirect
5. #20256098C2semidirect
6. #20256096C2semidirect
7. #20255979C2semidirect
8. #20255976C2semidirect
9. #20255862C2semidirect
10. #20255858C2semidirect
11. #20255854C2semidirect
12. #20255628C2semidirect
13. #20255625C2semidirect
14. #20255535C2semidirect
15. #20255531C2semidirect
16. #20255527C2semidirect
17. #20255523C2semidirect
18. #20254768C2semidirect
19. #20254765C2semidirect
20. #20254694C2semidirect
21. #20254587C2semidirect
22. #20254583C2semidirect
23. #20254514C2semidirect
24. #20253477C2semidirect
25. #20253476C2semidirect
26. #20253385C2semidirect
27. #20253184C2semidirect
28. #20253183C2semidirect
29. C2×#15689412C2semidirect
30. #20252500C2semidirect
31. C47×#3345C2semidirect
34. #15689837C22semidirect
35. #15689836C22semidirect
36. #15689832C22semidirect
37. #15689829C22semidirect
38. #15689825C22semidirect
39. #15689821C22semidirect
40. #15689819C22semidirect
58. #15689679C22semidirect
59. #15689676C22semidirect
61. #15689670C22semidirect
64. #15689668C22semidirect
65. #15689668C22semidirect
66. C2×#13094023C22semidirect
75. #15689531C22semidirect
76. #15689530C22semidirect
77. #15689529C22semidirect
78. #15689520C22semidirect
79. #15689520C22semidirect
80. #15689489C22semidirect
81. #15689488C22semidirect
82. #15689486C22semidirect
83. #15689486C22semidirect
84. #15689468C22semidirect
85. #15689468C22semidirect
86. #15689450C22semidirect
87. #15689450C22semidirect
88. #15689449C22semidirect
89. #15689449C22semidirect
90. #15689448C22semidirect
91. #15689447C22semidirect
92. #15689444C22semidirect
93. #15689443C22semidirect
94. #15689442C22semidirect
95. #15689441C22semidirect
96. #15689441C22semidirect
97. #15689440C22semidirect
98. #15689439C22semidirect
99. #15689436C22semidirect
101. #15689426C22semidirect
103. #15689423C22semidirect
105. #15689422C22semidirect
111. #15689412C22semidirect
112. #15689412C22semidirect
113. #15689412C22semidirect
114. #15689412C22semidirect
115. #15689412C22semidirect
116. #15689412C22semidirect
117. #15689412C22semidirect
118. #15689411C22semidirect
119. #15689411C22semidirect
120. #15689411C22semidirect
121. #15689410C22semidirect
123. #15689402C22semidirect
124. #15689402C22semidirect
125. #15689402C22semidirect
126. #15689401C22semidirect
127. #15689401C22semidirect
128. #15689377C22semidirect
129. #15689377C22semidirect
130. #15689376C22semidirect
131. #15689375C22semidirect
132. #15689375C22semidirect
133. #15689374C22semidirect
134. #15689374C22semidirect
135. #15689359C22semidirect
136. #15689357C22semidirect
137. #15689357C22semidirect
138. #15689319C22semidirect
139. #15689318C22semidirect
141. #15689317C22semidirect
142. #15689317C22semidirect
143. #15689317C22semidirect
144. #15689317C22semidirect
145. #15689316C22semidirect
146. #15689316C22semidirect
147. #15689316C22semidirect
154. #15689252C22semidirect
155. #15689251C22semidirect
158. #15689234C22semidirect
160. #15689233C22semidirect
162. #15689232C22semidirect
164. #15689205C22semidirect
166. #15689203C22semidirect
167. #15689199C22semidirect
168. #15689198C22semidirect
169. #15689195C22semidirect
170. #15689194C22semidirect
171. #15689191C22semidirect
172. #15689178C22semidirect
173. #15689177C22semidirect
174. #15689173C22semidirect
175. #15689164C22semidirect
176. #15689163C22semidirect
177. #15689162C22semidirect
178. C2×#13093955C22semidirect
179. #15689146C22semidirect
180. #15689145C22semidirect
181. C2×Dic47⋊C8C22semidirect
188. C47×#553C22semidirect
190. C47×#501C22semidirect
191. C47×#482C22semidirect
192. C47×#481C22semidirect
193. C47×#481C22semidirect
194. C47×#480C22semidirect
195. C47×#478C22semidirect
196. C47×#476C22semidirect
197. C47×#469C22semidirect
198. C47×#466C22semidirect
199. C47×#442C22semidirect
200. C47×#435C22semidirect
201. C47×#428C22semidirect
202. C2×#106×C47C22semidirect
883. #3345D47semidirect
924. #553C2×D47semidirect
963. #501C2×D47semidirect
979. #482C2×D47semidirect
986. #481C2×D47semidirect
987. #481C2×D47semidirect
989. #480C2×D47semidirect
997. #478C2×D47semidirect
1013. #476C2×D47semidirect
1027. #469C2×D47semidirect
1031. #466C2×D47semidirect
1057. #442C2×D47semidirect
1067. #435C2×D47semidirect
1074. #428C2×D47semidirect
1076. C2×#106C2×D47semidirect
1086. C47#62110semidirect

Maximal subgroups

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

subgroupindex
#202572902
#202568752
#202562842
#202562822
#202560982
#202560962
#202559792
#202559762
#202558622
#202558582
#202558542
#202556282
#202556252
#202555352
#202555312
#202555272
#202555232
#202547682
#202547652
#202546942
#202545872
#202545832
#202545142
#202534772
#202534762
#202533852
#202531842
#202531832
C2×#156894122
#202525002
C47×#33452
#6211047