Finite Group Databasebeta

← #27099136

Subgroups — #27099136

Order 12032.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257362C211yesmaximal, characteristic, complemented
2#20257345C211yesmaximal, characteristic, complemented
3#20256442C211yesmaximal, characteristic, complemented
4#20256284C211yesmaximal, characteristic, complemented
5#20256051C211yesmaximal, characteristic, complemented
6#20256029C211yesmaximal, characteristic, complemented
7#20255999C211yesmaximal, characteristic, complemented
8#20255899C211yesmaximal, characteristic, complemented
9#20255314C211yesmaximal, characteristic, complemented
10#20255310C211yesmaximal, characteristic, complemented
11#20255303C211yesmaximal, characteristic, complemented
12#20255226C211yesmaximal, characteristic, complemented
13#20255217C211yesmaximal, characteristic, complemented
14#20255210C211yesmaximal, characteristic, complemented
15#20254985C211yesmaximal, characteristic, complemented
16#20254918C211yesmaximal, characteristic, complemented
17#20254910C211yesmaximal, characteristic, complemented
18#20254061C211yesmaximal, characteristic, complemented
19#20254049C211yesmaximal, characteristic, complemented
20#20253942C211yesmaximal, characteristic, complemented
21#20253672C211yesmaximal, characteristic, complemented
22#20253668C211yesmaximal, characteristic, complemented
23#20253642C211yesmaximal, characteristic, complemented
24#20253636C211yesmaximal, characteristic, complemented
25#20253545C211yesmaximal, characteristic, complemented
26#20253534C211yesmaximal, characteristic, complemented
27#20252358C211yesmaximal, characteristic, complemented
28#20252219C211yesmaximal, characteristic, complemented
29#20252218C211yesmaximal, characteristic, complemented
30#20252159C211yesmaximal, characteristic, complemented
31C47×#3348C211yesmaximal, characteristic, complemented
32C2×#13094052C2211yescharacteristic
33C2×#13094051C2211yescharacteristic
34C2×#13094046C2211yescharacteristic
35#15689856C2211yescharacteristic
36#15689851C2211yescharacteristic, complemented
37#15689841C2211yescharacteristic
38#15689836C2211yescharacteristic
39#15689829C2211yescharacteristic, complemented
40#15689828C2211yescharacteristic
41#15689818—21no—
42#15689812—21no—
43#15689812C2211yescharacteristic, complemented
44#15689809—21no—
45#15689805—21no—
46#15689803—21no—
47#15689797—21no—
48#15689788C2211yescharacteristic
49#15689781—21no—
50#15689778C2211yescharacteristic, complemented
51#15689775C2211yescharacteristic
52#15689775C2211yescharacteristic, complemented
53#15689770C2211yescharacteristic
54#15689769C2211yescharacteristic
55#15689762—21no—
56#15689757C2211yescharacteristic
57#15689747C2211yescharacteristic
58#15689740C2211yescharacteristic
59#15689736C2211yescharacteristic, complemented
60#15689733C2211yescharacteristic, complemented
61#15689716—21no—
62#15689714—21no—
63#15689707—21no—
64#15689705—21no—
65#15689675C2211yescharacteristic, complemented
66#15689668C2211yescharacteristic
67#15689653C2211yescharacteristic
68#15689651—21no—
69#15689651—21no—
70#125×D47—21no—
71#124×D47—21no—
72#15689605C2211yescharacteristic, complemented
73#15689604C2211yescharacteristic, complemented
74#15689597C2211yescharacteristic
75#15689595C2211yescharacteristic
76#15689591C2211yescharacteristic
77#15689591C2211yescharacteristic, complemented
78#15689531C2211yescharacteristic, complemented
79#15689520C2211yescharacteristic, complemented
80#15689517C2211yescharacteristic, complemented
81#15689514C2211yescharacteristic, complemented
82#15689494C2211yescharacteristic
83#15689480C2211yescharacteristic, complemented
84#15689476C2211yescharacteristic, complemented
85#15689475C2211yescharacteristic, complemented
86#15689472C2211yescharacteristic, complemented
87#15689472C2211yescharacteristic, complemented
88#15689468C2211yescharacteristic
89#15689467C2211yescharacteristic, complemented
90#15689466C2211yescharacteristic, complemented
91#15689464C2211yescharacteristic, complemented
92#15689464C2211yescharacteristic, complemented
93#15689455C2211yescharacteristic, complemented
94#15689453C2211yescharacteristic, complemented
95#15689447C2211yescharacteristic, complemented
96#15689443C2211yescharacteristic
97#15689426C2211yescharacteristic
98#15689422C2211yescharacteristic, complemented
99#15689420C2211yescharacteristic
100#15689417C2211yescharacteristic, complemented
101#15689412C2211yescharacteristic
102#15689412C2211yescharacteristic, complemented
103#15689410C2211yescharacteristic, complemented
104#15689407C2211yescharacteristic, complemented
105#15689407C2211yescharacteristic, complemented
106#15689402C2211yescharacteristic, complemented
107#15689382C2211yescharacteristic, complemented
108#15689381C2211yescharacteristic, complemented
109#15689370C2211yescharacteristic
110#15689365C2211yescharacteristic, complemented
111#15689362C2211yescharacteristic, complemented
112#15689354C2211yescharacteristic, complemented
113#15689353C2211yescharacteristic
114#15689352C2211yescharacteristic, complemented
115#15689350C2211yescharacteristic
116#15689350C2211yescharacteristic, complemented
117#15689345C2211yescharacteristic, complemented
118#15689344C2211yescharacteristic, complemented
119#15689339C2211yescharacteristic, complemented
120#15689337C2211yescharacteristic, complemented
121#15689332C2211yescharacteristic, complemented
122#15689329C2211yescharacteristic
123#15689328C2211yescharacteristic, complemented
124#15689327C2211yescharacteristic
125#15689327C2211yescharacteristic
126#15689327C2211yescharacteristic, complemented
127#15689322C2211yescharacteristic
128#15689317C2211yescharacteristic
129#15689288C2211yescharacteristic, complemented
130#15689287C2211yescharacteristic
131#15689287C2211yescharacteristic, complemented
132#15689283C2211yescharacteristic
133#15689276C2211yescharacteristic
134#15689275C2211yescharacteristic
135#15689275C2211yescharacteristic
136#15689273C2211yescharacteristic
137#15689271C2211yescharacteristic
138#15689270C2211yescharacteristic, complemented
139#15689266C2211yescharacteristic
140#15689266C2211yescharacteristic, complemented
141#15689251C2211yescharacteristic, complemented
142#15689247C2211yescharacteristic, complemented
143#15689236C2211yescharacteristic
144#15689234C2211yescharacteristic
145#15689234C2211yescharacteristic, complemented
146#15689232C2211yescharacteristic, complemented
147#15689229C2211yescharacteristic, complemented
148#15689227C2211yescharacteristic, complemented
149#15689226C2211yescharacteristic
150#15689222C2211yescharacteristic
151#15689222C2211yescharacteristic, complemented
152#15689222C2211yescharacteristic, complemented
153#15689220C2211yescharacteristic, complemented
154#15689217C2211yescharacteristic, complemented
155#15689217C2211yescharacteristic, complemented
156#15689214C2211yescharacteristic, complemented
157SD16×Dic47C2211yescharacteristic, complemented
158C4×#10625336C2211yescharacteristic
159#15689210C2211yescharacteristic
160#15689210C2211yescharacteristic
161#15689210C2211yescharacteristic
162#15689210C2211yescharacteristic, complemented
163#15689210C2211yescharacteristic, complemented
164#15689210C2211yescharacteristic, complemented
165#15689208C2211yescharacteristic, complemented
166#15689205C2211yescharacteristic
167#15689205C2211yescharacteristic
168#15689205C2211yescharacteristic, complemented
169C4×#10625334C2211yescharacteristic, complemented
170#15689199C2211yescharacteristic
171#15689194C2211yescharacteristic, complemented
172D4×C47⋊C8C2211yescharacteristic, complemented
173(C22⋊D47)⋊C8C2211yescharacteristic
174(C22⋊D47)⋊C8C2211yescharacteristic, complemented
175#15689183C2211yescharacteristic, complemented
176#15689181C2211yescharacteristic, complemented
177#15689177C2211yescharacteristic, complemented
178#15689164C2211yescharacteristic, complemented
179#15689118C2211yescharacteristic, complemented
180#15689117C2211yescharacteristic
181#15689117C2211yescharacteristic, complemented
182#15689117C2211yescharacteristic, complemented
183C2×#13093944C2211yescharacteristic
184#102×D47C2211yescharacteristic
185#15689081C2211yescharacteristic, complemented
186#15689080C2211yescharacteristic, complemented
187C2×C8×Dic47C2211yescharacteristic, complemented
188C47×#555C2211yescharacteristic
189C47×#552C2211yescharacteristic, complemented
190C47×#501C2211yescharacteristic, complemented
191C47×#485C2211yescharacteristic, complemented
192C47×#485C2211yescharacteristic, complemented
193C47×#482C2211yescharacteristic, complemented
194C47×#481C2211yescharacteristic
195C47×#478C2211yescharacteristic, complemented
196C47×#475C2211yescharacteristic, complemented
197C47×#468C2211yescharacteristic
198C47×#465C2211yescharacteristic, complemented
199C47×#440C2211yescharacteristic, complemented
200C47×#435C2211yescharacteristic, complemented
201C47×#428C2211yescharacteristic, complemented
202C47×#427C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625350C2311yescharacteristic
205C2×#10625350C2311yescharacteristic
206C2×#10625350C2311yescharacteristic
207C2×#10625352—21no—
208C2×Q8×D47—21no—
209C22×D188C2311yescharacteristic
210C2×D4×D47—21no—
211C2×D4×D47C2311yescharacteristic
212#13094052—24no—
213#13094051—24no—
214#13094046—24no—
215C2×Dic188C2311yescharacteristic
216C2×Dic188C2311yescharacteristic
217C2×#10625337C2311yescharacteristic
218C2×#10625325C2311yescharacteristic
219C2×#10625325C2311yescharacteristic
220C2×#10625325C2311yescharacteristic
221C2×#10625325C2311yescharacteristic
222C2×#10625325C2311yescharacteristic
223C2×#10625335C2311yescharacteristic
224C2×#10625335C2311yescharacteristic
225C2×#10625336C2311yescharacteristic
226C2×#10625336C2311yescharacteristic
227C2×D376C2311yescharacteristic
228C2×D376C2311yescharacteristic
229C2×#10625334C2311yescharacteristic
230C2×#10625324C2311yescharacteristic
231C22×C47⋊C8C2311yescharacteristic
232C22×C47⋊C8C2311yescharacteristic
233C2×C8×D47C2311yescharacteristic
234#13094024C2311yescharacteristic
235#13094023C2311yescharacteristic
236#13094023C2311yescharacteristic
237#13094023C2311yescharacteristic
238#13094022C2311yescharacteristic
239#13094022C2311yescharacteristic
240#13094020C2311yescharacteristic
241#13094019—21no—
242#13094019—21no—
243#13094019—21no—
244#13094019D411yescharacteristic
245#13094018—21no—
246#13094017—21no—
247#13094017—21no—
248#13094017—21no—
249#13094017—21no—
250#13094017—21no—
251#13094017D411yescharacteristic
252#13094016—21no—
253#13094016—21no—
254#13094015—21no—
255#13094015—21no—
256#13094015—21no—
257#13094015C2311yescharacteristic
258#13094014—21no—
259#13094014—21no—
260#13094014—21no—
261#13094014—21no—
262#13094014—21no—
263#13094014D411yescharacteristic
264#13094013—21no—
265#13094012—21no—
266#13094012C2311yescharacteristic
267#13094011—21no—
268#13094011C2311yescharacteristic
269#13094010—21no—
270#13094010—21no—
271#13094010—21no—
272#13094010—21no—
273#13094010D411yescharacteristic
274#13094009—21no—
275#13094009—21no—
276#13094009—21no—
277#13094009—21no—
278#13094008D411yescharacteristic
279#13094007—21no—
280#13094006—21no—
281#13094006—21no—
282#13094006—21no—
283#13094006—21no—
284#13094006—21no—
285#13094006—21no—
286#13094006—21no—
287#13094005—21no—
288#13094005D411yescharacteristic
289#13094004—21no—
290#13094004C2311yescharacteristic
291#13094004C2311yescharacteristic
292#13094004C2311yescharacteristic
293#13094003—21no—
294#13094003C2311yescharacteristic
295#13094003C2311yescharacteristic
296#13094003C2311yescharacteristic
297#13094002—21no—
298#13094002—21no—
299#13094002—21no—
300#13094002—21no—
301#13094002—21no—
302#13094001—21no—
303#13094001—21no—
304#13094001D411yescharacteristic
305#13094000—21no—
306#13094000—21no—
307#13093999C2311yescharacteristic
308#13093998C2311yescharacteristic
309#13093997—21no—
310#13093997—21no—
311#13093997—21no—
312#13093997—21no—
313#13093997—21no—
314#13093996—21no—
315#13093996D411yescharacteristic
316#13093995—21no—
317#13093995—21no—
318#13093994—21no—
319#13093992—21no—
320#13093992—21no—
321#13093992—21no—
322Q8×Dic47C2311yescharacteristic
323C4×Dic94—21no—
324C4×Dic94—21no—
325C4×Dic94C2311yescharacteristic
326#13093989—21no—
327#13093989C2311yescharacteristic
328#13093989C2311yescharacteristic
329#13093989C2311yescharacteristic
330#13093989C2311yescharacteristic
331#13093989C2311yescharacteristic
332#13093989C2311yescharacteristic
333C4×D188—21no—
334C4×D188—21no—
335C4×D188—21no—
336C4×D188C2311yescharacteristic
337C4×D188C2311yescharacteristic
338D4×Dic47C2311yescharacteristic
339#13093986—21no—
340#13093986C2311yescharacteristic
341#13093986C2311yescharacteristic
342#13093986C2311yescharacteristic
343#13093986C2311yescharacteristic
344#13093986C2311yescharacteristic
345#13093986C2311yescharacteristic
346#13093986C2311yescharacteristic
347#13093986C2311yescharacteristic
348C4×C22⋊D47—21no—
349C4×C22⋊D47—21no—
350C4×C22⋊D47—21no—
351C4×C22⋊D47—21no—
352C4×C22⋊D47—21no—
353C4×C22⋊D47C2311yescharacteristic
354C4×C22⋊D47C2311yescharacteristic
355(C22⋊D47)⋊C4—21no—
356(C22⋊D47)⋊C4—21no—
357(C22⋊D47)⋊C4—21no—
358(C22⋊D47)⋊C4—21no—
359(C22⋊D47)⋊C4—21no—
360(C22⋊D47)⋊C4—21no—
361#13093983C2311yescharacteristic
362#13093982—21no—
363#13093982C2311yescharacteristic
364#13093981—21no—
365#13093981—21no—
366#13093981—21no—
367#13093981—21no—
368#13093981—21no—
369#13093981C2311yescharacteristic
370#13093980—21no—
371C4⋊C4×D47—21no—
372C4⋊C4×D47—21no—
373C4⋊C4×D47—21no—
374C4⋊C4×D47—21no—
375C4⋊C4×D47—21no—
376C4⋊C4×D47—21no—
377C4⋊C4×D47C2311yescharacteristic
378C2×(C2×D47)⋊C4—21no—
379C22⋊C4×D47—21no—
380C22⋊C4×D47—21no—
381C22⋊C4×D47—21no—
382C22⋊C4×D47—21no—
383C22⋊C4×D47—21no—
384C2×C4×Dic47C2311yescharacteristic
385C42×D47—21no—
386C42×D47—21no—
387#13093957C2311yescharacteristic
388#13093957C2311yescharacteristic
389#13093956C2311yescharacteristic
390#13093955C2311yescharacteristic
391#13093955C2311yescharacteristic
392#13093955C2311yescharacteristic
393#13093955C2311yescharacteristic
394C4⋊(C47⋊C8)C2311yescharacteristic
395Dic47⋊C8C2311yescharacteristic
396Dic47⋊C8C2311yescharacteristic
397Dic47⋊C8C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399#13093949C2311yescharacteristic
400#13093949C2311yescharacteristic
401#13093949C2311yescharacteristic
402#13093948C2311yescharacteristic
403#13093947C2311yescharacteristic
404#13093947C2311yescharacteristic
405#13093947C2311yescharacteristic
406#13093947C2311yescharacteristic
407#13093947C2311yescharacteristic
408#13093947C2311yescharacteristic
409#13093947C2311yescharacteristic
410#13093947C2311yescharacteristic
411#13093947C2311yescharacteristic
412#13093946C2311yescharacteristic
413#13093946C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093945C2311yescharacteristic
416#13093944C2311yescharacteristic
417#13093944C2311yescharacteristic
418#13093944C2311yescharacteristic
419#13093944C2311yescharacteristic
420#13093944C2311yescharacteristic
421#13093944C2311yescharacteristic
422#13093944C2311yescharacteristic
423#13093944C2311yescharacteristic
424#13093944C2311yescharacteristic
425C22⋊(C47⋊C8)C2311yescharacteristic
426C22⋊(C47⋊C8)C2311yescharacteristic
427(C2×D47)⋊C8C2311yescharacteristic
428(C2×D47)⋊C8C2311yescharacteristic
429#13093934C2311yescharacteristic
430#13093934C2311yescharacteristic
431#13093934C2311yescharacteristic
432C4×C47⋊C8C2311yescharacteristic
433C8×Dic47C2311yescharacteristic
434C8×Dic47C2311yescharacteristic
435C8×Dic47C2311yescharacteristic
436C8×Dic47C2311yescharacteristic
437C8×Dic47C2311yescharacteristic
438C2×SD16×C47C2311yescharacteristic
439C2×M16×C47C2311yescharacteristic
440C22×C8×C47C2311yescharacteristic
441C4⋊Q8×C47C2311yescharacteristic
442#126×C47—21no—
443#125×C47—21no—
444#125×C47C2311yescharacteristic
445#124×C47—21no—
446#124×C47—21no—
447#123×C47—21no—
448C22⋊Q8×C47C2311yescharacteristic
449C22⋊Q8×C47C2311yescharacteristic
450#121×C47—21no—
451#121×C47C2311yescharacteristic
452#121×C47C2311yescharacteristic
453C4×Q8×C47C2311yescharacteristic
454C4×D4×C47C2311yescharacteristic
455C4×D4×C47C2311yescharacteristic
456#117×C47—21no—
457#117×C47—21no—
458#117×C47C2311yescharacteristic
459#117×C47C2311yescharacteristic
460#117×C47C2311yescharacteristic
461C2×C4⋊C4×C47C2311yescharacteristic
462#107×C47C2311yescharacteristic
463#107×C47C2311yescharacteristic
464#107×C47C2311yescharacteristic
465#107×C47C2311yescharacteristic
466#106×C47C2311yescharacteristic
467#106×C47C2311yescharacteristic
468#106×C47C2311yescharacteristic
469#106×C47C2311yescharacteristic
470#106×C47C2311yescharacteristic
471C4⋊C8×C47C2311yescharacteristic
472#103×C47C2311yescharacteristic
473#103×C47C2311yescharacteristic
474#103×C47C2311yescharacteristic
475#102×C47C2311yescharacteristic
476#102×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478C22⋊C8×C47C2311yescharacteristic
479C22⋊C8×C47C2311yescharacteristic
480#97×C47C2311yescharacteristic
481C23×D47—21no—
482C23×D47—21no—
483C2×Q8×C47—21no—
484C2×Q8×C47C2411yescharacteristic
485C2×D4×C47—21no—
486C2×D4×C47—21no—
487C2×D4×C47C2×D411yescharacteristic
488C2×D4×C47C2411yescharacteristic
489C22×C4×C47—21no—
490C22×C4×C47—21no—
491C22×C4×C47C2411yescharacteristic
492C22×C4×C47C2411yescharacteristic
493C2×C22⋊D47—21no—
494C2×C22⋊D47—21no—
495C2×C22⋊D47—21no—
496C2×C22⋊D47—21no—
497C2×C22⋊D47—21no—
498C2×C22⋊D47—21no—
499C2×C22⋊D47—21no—
500C2×C22⋊D47C2×D411yescharacteristic
501C2×C22⋊D47C2×D411yescharacteristic
502C22×Dic47—21no—
503C22×Dic47C2×D411yescharacteristic
504C22×Dic47C2×D411yescharacteristic
505#10625354—22no—
506#10625354—41no—
507Q8×D47—82no—
508#10625352—82no—
509D4×D47—22no—
510D4×D47—41no—
511D4×D47—82no—
512#10625350—22no—
513#10625350—22no—
514#10625350—22no—
515#10625350—41no—
516#10625350—41no—
517#10625350—41no—
518C2×D188—22no—
519C2×D188—21no—
520C2×D188—21no—
521C2×D188—21no—
522C2×D188—41no—
523C2×D188C2411yescharacteristic
524C2×D188C2411yescharacteristic
525C2×D188C2411yescharacteristic
526C2×C4×D47—21no—
527C2×C4×D47—21no—
528C2×C4×D47—21no—
529C2×C4×D47—21no—
530C2×C4×D47—21no—
531C2×C4×D47—21no—
532C2×C4×D47—21no—
533C2×C4×D47—21no—
534C2×C4×D47—21no—
535C2×C4×D47—21no—
536C2×C4×D47—21no—
537C2×C4×D47—21no—
538C2×C4×D47—21no—
539C2×C4×D47—21no—
540C2×C4×D47—21no—
541C2×C4×D47C2411yescharacteristic
542C2×Dic94—21no—
543C2×Dic94—21no—
544C2×Dic94—21no—
545C2×Dic94C2×D411yescharacteristic
546C2×Dic94C2411yescharacteristic
547C2×Dic94C2411yescharacteristic
548C2×Dic94C2411yescharacteristic
549SD16×C47—22no—
550M16×C47—22no—
551C2×C8×C47—22no—
552C2×C8×C47C2411yescharacteristic
553C2×C8×C47C2411yescharacteristic
554C2×C8×C47C2411yescharacteristic
555C2×C8×C47C2411yescharacteristic
556C4⋊C4×C47—21no—
557C4⋊C4×C47—21no—
558C4⋊C4×C47—21no—
559C4⋊C4×C47—21no—
560C4⋊C4×C47—21no—
561C4⋊C4×C47—21no—
562C4⋊C4×C47—21no—
563C4⋊C4×C47C2×D411yescharacteristic
564C4⋊C4×C47C2411yescharacteristic
565C4⋊C4×C47C2411yescharacteristic
566C4⋊C4×C47C2411yescharacteristic
567C4⋊C4×C47C2411yescharacteristic
568C4⋊C4×C47C2411yescharacteristic
569C4⋊C4×C47C2411yescharacteristic
570C22⋊C4×C47—21no—
571C22⋊C4×C47—21no—
572C22⋊C4×C47—21no—
573C22⋊C4×C47—21no—
574C22⋊C4×C47—21no—
575C22⋊C4×C47—21no—
576C22⋊C4×C47—21no—
577C22⋊C4×C47—21no—
578C22⋊C4×C47C2×D411yescharacteristic
579C22⋊C4×C47C2×D411yescharacteristic
580C42×C47—21no—
581C42×C47—21no—
582C42×C47—21no—
583C42×C47—21no—
584C42×C47C2411yescharacteristic
585C22⋊Dic47—21no—
586C22⋊Dic47—21no—
587C22⋊Dic47—21no—
588C22⋊Dic47—21no—
589C22⋊Dic47—21no—
590C22⋊Dic47—21no—
591C22⋊Dic47C2×D411yescharacteristic
592C22⋊Dic47C2×D411yescharacteristic
593C22⋊Dic47C2×D411yescharacteristic
594C22⋊Dic47C2×D411yescharacteristic
595#10625337—41no—
596#10625336—22no—
597#10625336—41no—
598#10625335—41no—
599#10625335—41no—
600#10625334—22no—
601(C2×D47)⋊C4—21no—
602(C2×D47)⋊C4—21no—
603(C2×D47)⋊C4—21no—
604(C2×D47)⋊C4—21no—
605(C2×D47)⋊C4—21no—
606(C2×D47)⋊C4—21no—
607(C2×D47)⋊C4—21no—
608(C2×D47)⋊C4—21no—
609(C2×D47)⋊C4—21no—
610(C2×D47)⋊C4—21no—
611(C2×D47)⋊C4—21no—
612(C2×D47)⋊C4—21no—
613(C2×D47)⋊C4—21no—
614(C2×D47)⋊C4—21no—
615(C2×D47)⋊C4—21no—
616(C2×D47)⋊C4—21no—
617(C2×D47)⋊C4—21no—
618(C2×D47)⋊C4—21no—
619(C2×D47)⋊C4C2×D411yescharacteristic
620(C2×D47)⋊C4C2×D411yescharacteristic
621(C2×D47)⋊C4C2×D411yescharacteristic
622(C2×D47)⋊C4C2×D411yescharacteristic
623C4⋊Dic47—21no—
624C4⋊Dic47—21no—
625C4⋊Dic47—21no—
626C4⋊Dic47—21no—
627C4⋊Dic47—21no—
628C4⋊Dic47—21no—
629C4⋊Dic47—21no—
630C4⋊Dic47C2×D411yescharacteristic
631C4⋊Dic47C2×D411yescharacteristic
632C4⋊Dic47C2×D411yescharacteristic
633C4⋊Dic47C2411yescharacteristic
634C4⋊Dic47C2411yescharacteristic
635Dic47⋊C4—21no—
636Dic47⋊C4—21no—
637Dic47⋊C4—21no—
638Dic47⋊C4—21no—
639Dic47⋊C4—21no—
640Dic47⋊C4—21no—
641Dic47⋊C4—21no—
642Dic47⋊C4—21no—
643Dic47⋊C4—21no—
644Dic47⋊C4—21no—
645Dic47⋊C4—21no—
646Dic47⋊C4—21no—
647Dic47⋊C4—21no—
648Dic47⋊C4—21no—
649Dic47⋊C4—21no—
650Dic47⋊C4—21no—
651Dic47⋊C4—21no—
652Dic47⋊C4—21no—
653Dic47⋊C4C2×D411yescharacteristic
654Dic47⋊C4C2×D411yescharacteristic
655Dic47⋊C4C2×D411yescharacteristic
656Dic47⋊C4C2×D411yescharacteristic
657Dic47⋊C4C2×D411yescharacteristic
658Dic47⋊C4C2×D411yescharacteristic
659C4×Dic47—21no—
660C4×Dic47—21no—
661C4×Dic47—21no—
662C4×Dic47—21no—
663C4×Dic47—21no—
664C4×Dic47—21no—
665C4×Dic47—21no—
666C4×Dic47—21no—
667C4×Dic47C2×D411yescharacteristic
668C4×Dic47C2×D411yescharacteristic
669C4×Dic47C2411yescharacteristic
670C4×Dic47C2411yescharacteristic
671C4×Dic47C2411yescharacteristic
672C2×C47⋊C8—41no—
673C2×C47⋊C8—41no—
674C2×C47⋊C8C2411yescharacteristic
675C2×C47⋊C8C2411yescharacteristic
676C2×C47⋊C8C2411yescharacteristic
677C2×C47⋊C8C2411yescharacteristic
678Dic188—22no—
679Dic188—41no—
680D376—22no—
681D376#4114yescomplemented
682#10625325—22no—
683#10625325—22no—
684#10625325—22no—
685#10625325—22no—
686#10625325—41no—
687#10625324—22no—
688C8×D47—41no—
689C23×C47—21no—
690C23×C47C22×D411yescharacteristic
691C23×C47C22×D411yescharacteristic
692C22×D47—21no—
693C22×D47—21no—
694C22×D47—21no—
695C22×D47—42no—
696C22×D47—42no—
697C22×D47—81no—
698C22×D47—81no—
699C22×D47—81no—
700C22×D47—81no—
701C22×D47C22×D411yescharacteristic
702Q8×C47—21no—
703Q8×C47—21no—
704Q8×C47—81no—
705D4×C47—21no—
706D4×C47—21no—
707D4×C47—41no—
708D4×C47—81no—
709D4×C47—81no—
710C2×C4×C47—21no—
711C2×C4×C47—21no—
712C2×C4×C47—21no—
713C2×C4×C47—21no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—81no—
722C2×C4×C47—81no—
723C2×C4×C47C22×D411yescharacteristic
724C2×C4×C47C22×D411yescharacteristic
725C2×C4×C47C22×D411yescharacteristic
726C2×C4×C47C22×D411yescharacteristic
727C2×C4×C47C2511yescharacteristic
728C22⋊D47—22no—
729C22⋊D47—41no—
730C22⋊D47—42no—
731C22⋊D47—42no—
732C22⋊D47—42no—
733C22⋊D47—42no—
734C22⋊D47—42no—
735C22⋊D47—81no—
736C22⋊D47—81no—
737C2×Dic47—22no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—41no—
744C2×Dic47—81no—
745C2×Dic47C22×D411yescharacteristic
746C2×Dic47C22×D411yescharacteristic
747C2×Dic47C22×D411yescharacteristic
748C2×Dic47C22×D411yescharacteristic
749C2×Dic47C22×D411yescharacteristic
750C2×Dic47C22×D411yescharacteristic
751C2×Dic47C22×D411yescharacteristic
752D188—21no—
753D188—21no—
754D188—21no—
755D188—21no—
756D188—42no—
757D188—42no—
758D188—81no—
759D188C2×#4112yes—
760D188C2×#4112yes—
761C4×D47—21no—
762C4×D47—21no—
763C4×D47—42no—
764C4×D47—42no—
765C4×D47—42no—
766C4×D47—42no—
767C4×D47—42no—
768C4×D47—42no—
769C4×D47—81no—
770C4×D47—81no—
771C4×D47—81no—
772C4×D47—81no—
773C4×D47—81no—
774C4×D47—81no—
775C4×D47—81no—
776C4×D47—81no—
777C4×D47—81no—
778Dic94—22no—
779Dic94—21no—
780Dic94—21no—
781Dic94—21no—
782Dic94—21no—
783Dic94—21no—
784Dic94—21no—
785Dic94—42no—
786Dic94—81no—
787Dic94—81no—
788C8×C47—21no—
789C8×C47—21no—
790C8×C47—21no—
791C8×C47C2×#4112yes—
792C47⋊C8—21no—
793C47⋊C8—21no—
794C47⋊C8—21no—
795C47⋊C8—21no—
796#61493—471nomaximal, Sylow
797C22×C47—21no—
798C22×C47—21no—
799C22×C47—21no—
800C22×C47—21no—
801C22×C47—21no—
802C22×C47—21no—
803C22×C47—41no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47C23×D411yescharacteristic
807C2×D47—21no—
808C2×D47—21no—
809C2×D47—22no—
810C2×D47—22no—
811C2×D47—21no—
812C2×D47—41no—
813C2×D47—41no—
814C2×D47—41no—
815C2×D47—41no—
816C2×D47—41no—
817C2×D47—41no—
818C2×D47—41no—
819C2×D47—162no—
820C2×D47—162no—
821C4×C47—21no—
822C4×C47—21no—
823C4×C47—21no—
824C4×C47—21no—
825C4×C47—41no—
826C4×C47—41no—
827C4×C47—41no—
828C4×C47—41no—
829C4×C47—41no—
830C4×C47—41no—
831C4×C47—41no—
832C4×C47C22×#4111yescharacteristic
833C4×C47#58511yescharacteristic
834Dic47—21no—
835Dic47—21no—
836Dic47—21no—
837Dic47—21no—
838Dic47—21no—
839Dic47—21no—
840Dic47—41no—
841Dic47—41no—
842Dic47—41no—
843Dic47—41no—
844Dic47—41no—
845Dic47#57712yes—
846#3515—471no—
847#3514—471no—
848#3400—471no—
849#3384—471no—
850#3361—471no—
851#3359—471no—
852#3356—471no—
853#3348—471no—
854#3348D4711yescharacteristic, complemented
855#3303—471no—
856#3303—471no—
857#3302—471no—
858#3296—471no—
859#3296—471no—
860#3295—471no—
861#3272—471no—
862#3267—471no—
863#3267—471no—
864#3178—471no—
865#3178—471no—
866#3167—471no—
867#3125—471no—
868#3125—471no—
869#3123—471no—
870#3123—471no—
871#3116—471no—
872#3115—471no—
873#2966—471no—
874#2946—471no—
875#2946—471no—
876C4×#135—471no—
877C2×C47—41no—
878C2×C47—41no—
879C2×C47—81no—
880C2×C47D4×#4111yescharacteristic
881C2×C47C2×#57711yescharacteristic
882C2×C47#358411yescharacteristic
883D47—41no—
884D47—42no—
885D47—42no—
886D47—81no—
887C2×AGL(1,ℤ/8)—471no—
888C2×AGL(1,ℤ/8)—471no—
889C2×#135—471no—
890#559—471no—
891#557—471no—
892#556—471no—
893#555—471no—
894#555C2×D4711yescharacteristic
895#554—471no—
896#554—471no—
897#553—941no—
898#552—471no—
899#552—941no—
900#552—941no—
901#552—941no—
902#552C2×D4711yescharacteristic, complemented
903#551—941no—
904#551—941no—
905D4×Q8—471no—
906#548—941no—
907#547—471no—
908#547—471no—
909#547—471no—
910#546—471no—
911#546—471no—
912#546—941no—
913D42—471no—
914#542—471no—
915#542—471no—
916#541—471no—
917#541—471no—
918#539—941no—
919#539—941no—
920#538—941no—
921#538—941no—
922#533—471no—
923#532—471no—
924#529—471no—
925#529—941no—
926#529—941no—
927C2×#125—941no—
928C2×#124—941no—
929#520—471no—
930#520—471no—
931#518—471no—
932#518—471no—
933C4×#41—471no—
934C4×#41—471no—
935#501—471no—
936#501C2×D4711yescharacteristic, complemented
937#498—471no—
938#497—471no—
939#497—471no—
940#492—471no—
941#488—471no—
942#488—471no—
943#487—471no—
944#487—471no—
945#487—471no—
946#486—471no—
947#485—471no—
948#485—471no—
949#485—471no—
950#485—471no—
951#485C2×D4711yescharacteristic, complemented
952#485C2×D4711yescharacteristic, complemented
953#483—471no—
954#483—471no—
955#482—471no—
956#482C2×D4711yescharacteristic, complemented
957#481—471no—
958#481C2×D4711yescharacteristic
959#478—471no—
960#478—471no—
961#478—471no—
962#478C2×D4711yescharacteristic, complemented
963#477—471no—
964#476—471no—
965#476—471no—
966#476—471no—
967#475—471no—
968#475—471no—
969#475C2×D4711yescharacteristic, complemented
970#474—471no—
971#470—471no—
972#470—471no—
973#468—471no—
974#468C2×D4711yescharacteristic
975#467—471no—
976#467—471no—
977#465—471no—
978#465—471no—
979#465—471no—
980#465—471no—
981#465—471no—
982#465C2×D4711yescharacteristic, complemented
983#464—471no—
984#464—471no—
985#463—471no—
986#463—471no—
987#462—471no—
988#461—471no—
989#461—471no—
990#461—471no—
991#461—471no—
992#461—471no—
993#460—471no—
994#459—471no—
995#452—471no—
996#452—471no—
997#452—471no—
998#452—471no—
999#450—471no—
1000#450—471no—
1001#450—471no—
1002#450—471no—
1003#449—471no—
1004#449—471no—
1005#449—471no—
1006#449—471no—
1007#446—471no—
1008C8×Q8—471no—
1009#442—471no—
1010#442—471no—
1011#442—471no—
1012#442—471no—
1013#441—471no—
1014#441—471no—
1015#440—471no—
1016#440—471no—
1017#440—471no—
1018#440—471no—
1019#440—471no—
1020#440C2×D4711yescharacteristic, complemented
1021C4×Q16—471no—
1022C4×Q16—471no—
1023C4×SD16—471no—
1024C4×SD16—471no—
1025C4×SD16—471no—
1026C4×SD16—471no—
1027C4×SD16—471no—
1028C4×SD16—471no—
1029C4×SD16—471no—
1030C4×SD16—471no—
1031C4×SD16—471no—
1032C4×SD16—471no—
1033C4×D8—471no—
1034C4×D8—471no—
1035C4×D8—471no—
1036C4×D8—471no—
1037#436—471no—
1038#435—471no—
1039#435C2×D4711yescharacteristic, complemented
1040C8×D4—471no—
1041C8×D4—471no—
1042C8×D4—471no—
1043#433—471no—
1044#433—471no—
1045#432—471no—
1046#428—471no—
1047#428C2×D4711yescharacteristic, complemented
1048#427C2×D4711yescharacteristic, complemented
1049#416—471no—
1050#416—471no—
1051#416—471no—
1052#416—471no—
1053C2×#102—471no—
1054C2×#102—471no—
1055#405—471no—
1056#405—471no—
1057C2×C4×C8—471no—
1058C47#6149311yescharacteristic, complemented, Sylow
1059C2×#41—471no—
1060C2×#41—471no—
1061C2×#41—471no—
1062C2×#41—471no—
1063C2×#41—941no—
1064C22×Q8—941no—
1065C22×D4—471no—
1066C22×D4—471no—
1067C22×D4—941no—
1068AGL(1,ℤ/8)—944no—
1069AGL(1,ℤ/8)—944no—
1070#135—944no—
1071C2×Q16—471no—
1072C2×Q16—471no—
1073C2×Q16—471no—
1074C2×SD16—471no—
1075C2×SD16—471no—
1076C2×SD16—471no—
1077C2×SD16—471no—
1078C2×SD16—471no—
1079C2×SD16—471no—
1080C2×SD16—471no—
1081C2×SD16—471no—
1082C2×SD16—471no—
1083C2×SD16C22×D4711yescharacteristic
1084C2×D8—471no—
1085C2×D8—471no—
1086C2×D8—471no—
1087C2×M16—471no—
1088C2×M16C22×D4711yescharacteristic
1089C22×C8—471no—
1090C22×C8—471no—
1091C22×C8—471no—
1092C22×C8C22×D4711yescharacteristic
1093C4⋊Q8—471no—
1094C4⋊Q8—471no—
1095C4⋊Q8—471no—
1096C4⋊Q8—471no—
1097C4⋊Q8—471no—
1098C4⋊Q8—471no—
1099C4⋊Q8C22×D4711yescharacteristic
1100#127—471no—
1101#126—21no—
1102#126—471no—
1103#126—471no—
1104#126—941no—
1105#126—941no—
1106#126—941no—
1107#126—941no—
1108#126—941no—
1109#126—941no—
1110#126—941no—
1111#126—941no—
1112#126—941no—
1113#125—21no—
1114#125—471no—
1115#125—471no—
1116#125—941no—
1117#125—941no—
1118#125—941no—
1119#125—941no—
1120#125—941no—
1121#125—941no—
1122#125—941no—
1123#125—941no—
1124#125—941no—
1125#125—941no—
1126#125C22×D4711yescharacteristic
1127#124—21no—
1128#124—21no—
1129#124—471no—
1130#124—471no—
1131#124—471no—
1132#124—941no—
1133#124—941no—
1134#124—941no—
1135#124—941no—
1136#124—941no—
1137#124—941no—
1138#124—941no—
1139#123—21no—
1140#123—471no—
1141#123—471no—
1142#123—941no—
1143#123—941no—
1144#123—941no—
1145#123—941no—
1146#123—941no—
1147#123—941no—
1148#123—941no—
1149#123—941no—
1150#123—941no—
1151#123—941no—
1152#123—941no—
1153#123—941no—
1154#123—941no—
1155C22⋊Q8—471no—
1156C22⋊Q8—471no—
1157C22⋊Q8—471no—
1158C22⋊Q8—471no—
1159C22⋊Q8—471no—
1160C22⋊Q8—471no—
1161C22⋊Q8—471no—
1162C22⋊Q8—941no—
1163C22⋊Q8—941no—
1164C22⋊Q8—941no—
1165C22⋊Q8—941no—
1166C22⋊Q8—941no—
1167C22⋊Q8—941no—
1168C22⋊Q8—941no—
1169C22⋊Q8—941no—
1170C22⋊Q8—941no—
1171C22⋊Q8—941no—
1172C22⋊Q8—941no—
1173C22⋊Q8C22×D4711yescharacteristic
1174C22⋊Q8C22×D4711yescharacteristic
1175#121—21no—
1176#121—471no—
1177#121—471no—
1178#121—471no—
1179#121—941no—
1180#121—941no—
1181#121—941no—
1182#121—941no—
1183#121—941no—
1184#121—941no—
1185#121—941no—
1186#121—941no—
1187#121C22×D4711yescharacteristic
1188#121C22×D4711yescharacteristic
1189#120—941no—
1190#120—941no—
1191#120—941no—
1192#120—941no—
1193C4×Q8—471no—
1194C4×Q8—471no—
1195C4×Q8—471no—
1196C4×Q8—471no—
1197C4×Q8—471no—
1198C4×Q8—471no—
1199C4×Q8—471no—
1200C4×Q8—471no—
1201C4×Q8—941no—
1202C4×Q8—941no—
1203C4×Q8—941no—
1204C4×Q8C22×D4711yescharacteristic
1205C4×D4—471no—
1206C4×D4—471no—
1207C4×D4—471no—
1208C4×D4—471no—
1209C4×D4—471no—
1210C4×D4—471no—
1211C4×D4—471no—
1212C4×D4—471no—
1213C4×D4—471no—
1214C4×D4—471no—
1215C4×D4—471no—
1216C4×D4—471no—
1217C4×D4—471no—
1218C4×D4—941no—
1219C4×D4—941no—
1220C4×D4—941no—
1221C4×D4—941no—
1222C4×D4—941no—
1223C4×D4—941no—
1224C4×D4—941no—
1225C4×D4—941no—
1226C4×D4—941no—
1227C4×D4—941no—
1228C4×D4—941no—
1229C4×D4—941no—
1230C4×D4—941no—
1231C4×D4—941no—
1232C4×D4—941no—
1233C4×D4C22×D4711yescharacteristic
1234C4×D4C22×D4711yescharacteristic
1235#117—21no—
1236#117—21no—
1237#117—471no—
1238#117—471no—
1239#117—471no—
1240#117—941no—
1241#117—941no—
1242#117—941no—
1243#117—941no—
1244#117—941no—
1245#117—941no—
1246#117—941no—
1247#117C22×D4711yescharacteristic
1248#117C22×D4711yescharacteristic
1249#117C22×D4711yescharacteristic
1250C2×C4⋊C4—471no—
1251C2×C4⋊C4—941no—
1252C2×C4⋊C4—941no—
1253C2×C4⋊C4—941no—
1254C2×C4⋊C4—941no—
1255C2×C4⋊C4—941no—
1256C2×C4⋊C4—941no—
1257C2×C4⋊C4C22×D4711yescharacteristic
1258C2×C22⋊C4—941no—
1259C2×C22⋊C4—941no—
1260C2×C22⋊C4—941no—
1261C2×C22⋊C4—941no—
1262C2×C22⋊C4—941no—
1263C2×C22⋊C4—941no—
1264C2×C42—471no—
1265C2×C42—941no—
1266C2×C42—941no—
1267#107—471no—
1268#107—471no—
1269#107C22×D4711yescharacteristic
1270#107C22×D4711yescharacteristic
1271#107C22×D4711yescharacteristic
1272#107C22×D4711yescharacteristic
1273#106—471no—
1274#106—471no—
1275#106—471no—
1276#106—471no—
1277#106—471no—
1278#106C22×D4711yescharacteristic
1279#106C22×D4711yescharacteristic
1280#106C22×D4711yescharacteristic
1281#106C22×D4711yescharacteristic
1282#106C22×D4711yescharacteristic
1283C4⋊C8—471no—
1284C4⋊C8—471no—
1285C4⋊C8—471no—
1286C4⋊C8—471no—
1287C4⋊C8—471no—
1288C4⋊C8C22×D4711yescharacteristic
1289#103—471no—
1290#103—471no—
1291#103—471no—
1292#103—471no—
1293#103—471no—
1294#103—471no—
1295#103—471no—
1296#103—471no—
1297#103—471no—
1298#103—471no—
1299#103—471no—
1300#103—471no—
1301#103—471no—
1302#103C22×D4711yescharacteristic
1303#103C22×D4711yescharacteristic
1304#103C22×D4711yescharacteristic
1305#102—471no—
1306#102—471no—
1307#102—471no—
1308#102—471no—
1309#102—471no—
1310#102—471no—
1311#102—471no—
1312#102—471no—
1313#102—471no—
1314#102—471no—
1315#102—471no—
1316#102—471no—
1317#102—471no—
1318#102C22×D4711yescharacteristic
1319#102C22×D4711yescharacteristic
1320#102C22×D4711yescharacteristic
1321C22⋊C8—471no—
1322C22⋊C8—471no—
1323C22⋊C8—471no—
1324C22⋊C8—471no—
1325C22⋊C8C22×D4711yescharacteristic
1326C22⋊C8C22×D4711yescharacteristic
1327#97—471no—
1328#97—471no—
1329#97—471no—
1330#97C22×D4711yescharacteristic
1331C4×C8—471no—
1332C4×C8—471no—
1333C4×C8—471no—
1334C4×C8—471no—
1335C4×C8—471no—
1336C4×C8—471no—
1337C24—941no—
1338C24—941no—
1339#41—942no—
1340#41—942no—
1341#41—942no—
1342#41—942no—
1343#41—3762no—
1344#41—1881no—
1345#41—1881no—
1346#41—1881no—
1347#41—1881no—
1348C2×Q8—21no—
1349C2×Q8—471no—
1350C2×Q8—471no—
1351C2×Q8—471no—
1352C2×Q8—471no—
1353C2×Q8—941no—
1354C2×Q8—941no—
1355C2×Q8—941no—
1356C2×Q8—3762no—
1357C2×Q8C23×D4711yescharacteristic
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—471no—
1361C2×D4—471no—
1362C2×D4—471no—
1363C2×D4—471no—
1364C2×D4—471no—
1365C2×D4—942no—
1366C2×D4—941no—
1367C2×D4—941no—
1368C2×D4—941no—
1369C2×D4—941no—
1370C2×D4—941no—
1371C2×D4—942no—
1372C2×D4—941no—
1373C2×D4—941no—
1374C2×D4—941no—
1375C2×D4—941no—
1376C2×D4—941no—
1377C2×D4—3762no—
1378C2×D4—1881no—
1379C2×D4—1881no—
1380C2×D4D4×D4711yescharacteristic
1381C2×D4C23×D4711yescharacteristic
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—471no—
1385C22×C4—471no—
1386C22×C4—471no—
1387C22×C4—941no—
1388C22×C4—941no—
1389C22×C4—941no—
1390C22×C4—941no—
1391C22×C4—941no—
1392C22×C4—941no—
1393C22×C4—941no—
1394C22×C4—941no—
1395C22×C4—941no—
1396C22×C4—941no—
1397C22×C4—941no—
1398C22×C4—941no—
1399C22×C4—941no—
1400C22×C4—941no—
1401C22×C4—941no—
1402C22×C4—941no—
1403C22×C4C23×D4711yescharacteristic
1404C22×C4C23×D4711yescharacteristic
1405Q16—942no—
1406Q16—1881no—
1407Q16—1881no—
1408SD16—22no—
1409SD16—942no—
1410SD16—942no—
1411SD16—942no—
1412SD16—942no—
1413SD16—942no—
1414SD16—1881no—
1415SD16—1881no—
1416SD16—1881no—
1417SD16—1881no—
1418D8—474no—
1419D8—942no—
1420D8—942no—
1421M16—22no—
1422M16—942no—
1423C2×C8—22no—
1424C2×C8—471no—
1425C2×C8—471no—
1426C2×C8—471no—
1427C2×C8—471no—
1428C2×C8—1881no—
1429C2×C8—1881no—
1430C2×C8—1881no—
1431C2×C8C23×D4711yescharacteristic
1432C2×C8C23×D4711yescharacteristic
1433C2×C8C23×D4711yescharacteristic
1434C2×C8C23×D4711yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—471no—
1443C4⋊C4—471no—
1444C4⋊C4—471no—
1445C4⋊C4—471no—
1446C4⋊C4—471no—
1447C4⋊C4—471no—
1448C4⋊C4—471no—
1449C4⋊C4—471no—
1450C4⋊C4—471no—
1451C4⋊C4—471no—
1452C4⋊C4—471no—
1453C4⋊C4—941no—
1454C4⋊C4—941no—
1455C4⋊C4—941no—
1456C4⋊C4—941no—
1457C4⋊C4—941no—
1458C4⋊C4—941no—
1459C4⋊C4—941no—
1460C4⋊C4—941no—
1461C4⋊C4—941no—
1462C4⋊C4—941no—
1463C4⋊C4—941no—
1464C4⋊C4—941no—
1465C4⋊C4—941no—
1466C4⋊C4—941no—
1467C4⋊C4—941no—
1468C4⋊C4—941no—
1469C4⋊C4—941no—
1470C4⋊C4—941no—
1471C4⋊C4—941no—
1472C4⋊C4—941no—
1473C4⋊C4—941no—
1474C4⋊C4—941no—
1475C4⋊C4—941no—
1476C4⋊C4—941no—
1477C4⋊C4—941no—
1478C4⋊C4D4×D4711yescharacteristic
1479C4⋊C4C23×D4711yescharacteristic
1480C4⋊C4C23×D4711yescharacteristic
1481C4⋊C4C23×D4711yescharacteristic
1482C4⋊C4C23×D4711yescharacteristic
1483C4⋊C4C23×D4711yescharacteristic
1484C4⋊C4C23×D4711yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—471no—
1494C22⋊C4—471no—
1495C22⋊C4—471no—
1496C22⋊C4—471no—
1497C22⋊C4—471no—
1498C22⋊C4—471no—
1499C22⋊C4—471no—
1500C22⋊C4—471no—
1501C22⋊C4—941no—
1502C22⋊C4—941no—
1503C22⋊C4—941no—
1504C22⋊C4—941no—
1505C22⋊C4—941no—
1506C22⋊C4—941no—
1507C22⋊C4—941no—
1508C22⋊C4—941no—
1509C22⋊C4—941no—
1510C22⋊C4—941no—
1511C22⋊C4—941no—
1512C22⋊C4—941no—
1513C22⋊C4—941no—
1514C22⋊C4—941no—
1515C22⋊C4—941no—
1516C22⋊C4—941no—
1517C22⋊C4—941no—
1518C22⋊C4—941no—
1519C22⋊C4—941no—
1520C22⋊C4—941no—
1521C22⋊C4—941no—
1522C22⋊C4—941no—
1523C22⋊C4—941no—
1524C22⋊C4—941no—
1525C22⋊C4D4×D4711yescharacteristic
1526C22⋊C4D4×D4711yescharacteristic
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—471no—
1532C42—471no—
1533C42—471no—
1534C42—471no—
1535C42—471no—
1536C42—941no—
1537C42—941no—
1538C42—941no—
1539C42—941no—
1540C42—941no—
1541C42—941no—
1542C42—941no—
1543C42—941no—
1544C42C23×D4711yescharacteristic
1545C23—21no—
1546C23—471no—
1547C23—941no—
1548C23—941no—
1549C23—941no—
1550C23—3761no—
1551C23—3761no—
1552C23—3761no—
1553C23—3761no—
1554C23—1882no—
1555C23—1882no—
1556C23C2×D4×D4711yescharacteristic
1557C23C2×D4×D4711yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—81no—
1561Q8—942no—
1562Q8—941no—
1563Q8—941no—
1564Q8—941no—
1565Q8—941no—
1566Q8—941no—
1567Q8—941no—
1568Q8—3761no—
1569Q8—3761no—
1570Q8—1882no—
1571D4—21no—
1572D4—21no—
1573D4—41no—
1574D4—81no—
1575D4—81no—
1576D4—472no—
1577D4—472no—
1578D4—942no—
1579D4—941no—
1580D4—941no—
1581D4—941no—
1582D4—941no—
1583D4—3761no—
1584D4—3761no—
1585D4—3761no—
1586D4—1882no—
1587D4—1882no—
1588D4—1882no—
1589D4—1881no—
1590D4—1882no—
1591D4—1882no—
1592D4—1882no—
1593D4—1882no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4—471no—
1608C2×C4—471no—
1609C2×C4—471no—
1610C2×C4—471no—
1611C2×C4—471no—
1612C2×C4—471no—
1613C2×C4—471no—
1614C2×C4—942no—
1615C2×C4—941no—
1616C2×C4—941no—
1617C2×C4—941no—
1618C2×C4—941no—
1619C2×C4—941no—
1620C2×C4—941no—
1621C2×C4—941no—
1622C2×C4—3761no—
1623C2×C4—3761no—
1624C2×C4—3761no—
1625C2×C4—3761no—
1626C2×C4—3761no—
1627C2×C4—3761no—
1628C2×C4—3761no—
1629C2×C4—3761no—
1630C2×C4—3761no—
1631C2×C4—3761no—
1632C2×C4—1882no—
1633C2×C4—1882no—
1634C2×C4—1882no—
1635C2×C4—1882no—
1636C2×C4—1882no—
1637C2×C4—1882no—
1638C2×C4—1881no—
1639C2×C4C2×D4×D4711yescharacteristic
1640C2×C4C2×D4×D4711yescharacteristic
1641C2×C4C2×D4×D4711yescharacteristic
1642C2×C4C2×D4×D4711yescharacteristic
1643C2×C4C24×D4711yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—941no—
1648C8—941no—
1649C8—941no—
1650C8—941no—
1651C8#41×D4712yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—941no—
1662C22—941no—
1663C22—942no—
1664C22—942no—
1665C22—941no—
1666C22—1881no—
1667C22—1881no—
1668C22—1881no—
1669C22—1881no—
1670C22—1881no—
1671C22—1881no—
1672C22—1881no—
1673C22—7522no—
1674C22—7522no—
1675C22C22×D4×D4711yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—472no—
1688C4—941no—
1689C4—941no—
1690C4—941no—
1691C4—941no—
1692C4—941no—
1693C4—941no—
1694C4—1881no—
1695C4—1881no—
1696C4—1881no—
1697C4—1881no—
1698C4—1881no—
1699C4C2×#41×D4711yescharacteristic
1700C4#1568996011yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—81no—
1704C2—3761no—
1705C2—1881no—
1706C2—1882no—
1707C2—1882no—
1708C2#2025687511yescharacteristic
1709C2#577×D4711yescharacteristic
1710C2#2025816111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3348C2
socleC22×C47C23×D4
hypercenter#3348D47
hypocenterC47#61493
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3348

Complements

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

NH ≅ G/Ntype
1. #20257362C2semidirect
2. #20257345C2semidirect
3. #20256442C2semidirect
4. #20256284C2semidirect
5. #20256051C2semidirect
6. #20256029C2semidirect
7. #20255999C2semidirect
8. #20255899C2semidirect
9. #20255314C2semidirect
10. #20255310C2semidirect
11. #20255303C2semidirect
12. #20255226C2semidirect
13. #20255217C2semidirect
14. #20255210C2semidirect
15. #20254985C2semidirect
16. #20254918C2semidirect
17. #20254910C2semidirect
18. #20254061C2semidirect
19. #20254049C2semidirect
20. #20253942C2semidirect
21. #20253672C2semidirect
22. #20253668C2semidirect
23. #20253642C2semidirect
24. #20253636C2semidirect
25. #20253545C2semidirect
26. #20253534C2semidirect
27. #20252358C2semidirect
28. #20252219C2semidirect
29. #20252218C2semidirect
30. #20252159C2semidirect
31. C47×#3348C2semidirect
36. #15689851C22semidirect
39. #15689829C22semidirect
43. #15689812C22semidirect
50. #15689778C22semidirect
52. #15689775C22semidirect
59. #15689736C22semidirect
60. #15689733C22semidirect
65. #15689675C22semidirect
72. #15689605C22semidirect
73. #15689604C22semidirect
77. #15689591C22semidirect
78. #15689531C22semidirect
79. #15689520C22semidirect
80. #15689517C22semidirect
81. #15689514C22semidirect
83. #15689480C22semidirect
84. #15689476C22semidirect
85. #15689475C22semidirect
86. #15689472C22semidirect
87. #15689472C22semidirect
89. #15689467C22semidirect
90. #15689466C22semidirect
91. #15689464C22semidirect
92. #15689464C22semidirect
93. #15689455C22semidirect
94. #15689453C22semidirect
95. #15689447C22semidirect
98. #15689422C22semidirect
100. #15689417C22semidirect
102. #15689412C22semidirect
103. #15689410C22semidirect
104. #15689407C22semidirect
105. #15689407C22semidirect
106. #15689402C22semidirect
107. #15689382C22semidirect
108. #15689381C22semidirect
110. #15689365C22semidirect
111. #15689362C22semidirect
112. #15689354C22semidirect
114. #15689352C22semidirect
116. #15689350C22semidirect
117. #15689345C22semidirect
118. #15689344C22semidirect
119. #15689339C22semidirect
120. #15689337C22semidirect
121. #15689332C22semidirect
123. #15689328C22semidirect
126. #15689327C22semidirect
129. #15689288C22semidirect
131. #15689287C22semidirect
138. #15689270C22semidirect
140. #15689266C22semidirect
141. #15689251C22semidirect
142. #15689247C22semidirect
145. #15689234C22semidirect
146. #15689232C22semidirect
147. #15689229C22semidirect
148. #15689227C22semidirect
151. #15689222C22semidirect
152. #15689222C22semidirect
153. #15689220C22semidirect
154. #15689217C22semidirect
155. #15689217C22semidirect
156. #15689214C22semidirect
157. SD16×Dic47C22semidirect
162. #15689210C22semidirect
163. #15689210C22semidirect
164. #15689210C22semidirect
165. #15689208C22semidirect
168. #15689205C22semidirect
169. C4×#10625334C22semidirect
171. #15689194C22semidirect
172. D4×C47⋊C8C22semidirect
174. (C22⋊D47)⋊C8C22semidirect
175. #15689183C22semidirect
176. #15689181C22semidirect
177. #15689177C22semidirect
178. #15689164C22semidirect
179. #15689118C22semidirect
181. #15689117C22semidirect
182. #15689117C22semidirect
185. #15689081C22semidirect
186. #15689080C22semidirect
187. C2×C8×Dic47C22semidirect
189. C47×#552C22semidirect
190. C47×#501C22semidirect
191. C47×#485C22semidirect
192. C47×#485C22semidirect
193. C47×#482C22semidirect
195. C47×#478C22semidirect
196. C47×#475C22semidirect
198. C47×#465C22semidirect
199. C47×#440C22semidirect
200. C47×#435C22semidirect
201. C47×#428C22semidirect
202. C47×#427C22semidirect
681. D376#41semidirect
854. #3348D47semidirect
902. #552C2×D47semidirect
936. #501C2×D47semidirect
951. #485C2×D47semidirect
952. #485C2×D47semidirect
956. #482C2×D47semidirect
962. #478C2×D47semidirect
969. #475C2×D47semidirect
982. #465C2×D47semidirect
1020. #440C2×D47semidirect
1039. #435C2×D47semidirect
1047. #428C2×D47semidirect
1048. #427C2×D47semidirect
1058. C47#61493semidirect

Maximal subgroups

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

subgroupindex
#202573622
#202573452
#202564422
#202562842
#202560512
#202560292
#202559992
#202558992
#202553142
#202553102
#202553032
#202552262
#202552172
#202552102
#202549852
#202549182
#202549102
#202540612
#202540492
#202539422
#202536722
#202536682
#202536422
#202536362
#202535452
#202535342
#202523582
#202522192
#202522182
#202521592
C47×#33482
#6149347