Finite Group Databasebeta

← #27099124

Subgroups — #27099124

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#20257336C211yesmaximal, characteristic, complemented
3#20256444C211yesmaximal, characteristic, complemented
4#20256290C211yesmaximal, characteristic, complemented
5#20256045C211yesmaximal, characteristic, complemented
6#20256028C211yesmaximal, characteristic, complemented
7#20255996C211yesmaximal, characteristic, complemented
8#20255901C211yesmaximal, characteristic, complemented
9#20255897C211yesmaximal, characteristic, complemented
10#20255317C211yesmaximal, characteristic, complemented
11#20255311C211yesmaximal, characteristic, complemented
12#20255300C211yesmaximal, characteristic, complemented
13#20255224C211yesmaximal, characteristic, complemented
14#20255208C211yesmaximal, characteristic, complemented
15#20254986C211yesmaximal, characteristic, complemented
16#20254917C211yesmaximal, characteristic, complemented
17#20254909C211yesmaximal, characteristic, complemented
18#20254059C211yesmaximal, characteristic, complemented
19#20254055C211yesmaximal, characteristic, complemented
20#20253942C211yesmaximal, characteristic, complemented
21#20253664C211yesmaximal, characteristic, complemented
22#20253660C211yesmaximal, characteristic, complemented
23#20253642C211yesmaximal, characteristic, complemented
24#20253634C211yesmaximal, characteristic, complemented
25#20253543C211yesmaximal, characteristic, complemented
26#20253534C211yesmaximal, characteristic, complemented
27#20252356C211yesmaximal, characteristic, complemented
28#20252215C211yesmaximal, characteristic, complemented
29#20252214C211yesmaximal, characteristic, complemented
30#20252156C211yesmaximal, characteristic, complemented
31C47×#3296C211yesmaximal, characteristic, complemented
32C2×#13094051C2211yescharacteristic
33C2×#13094050C2211yescharacteristic
34C2×#13094044C2211yescharacteristic
35#15689855C2211yescharacteristic
36#15689851C2211yescharacteristic, complemented
37#15689844C2211yescharacteristic
38#15689838C2211yescharacteristic
39#15689837C2211yescharacteristic
40#15689829C2211yescharacteristic, complemented
41#15689828C2211yescharacteristic
42#15689818—21no—
43#15689812—21no—
44#15689812C2211yescharacteristic, complemented
45#15689809—21no—
46#15689805—21no—
47#15689799—21no—
48#15689796—21no—
49D4×Dic94C2211yescharacteristic
50#15689779—21no—
51#15689778C2211yescharacteristic, complemented
52#15689775C2211yescharacteristic
53#15689775C2211yescharacteristic, complemented
54#15689761C2211yescharacteristic
55#15689760—21no—
56D4×C22⋊D47C2211yescharacteristic
57#15689746C2211yescharacteristic
58#15689742C2211yescharacteristic
59#15689736C2211yescharacteristic, complemented
60#15689733C2211yescharacteristic, complemented
61#15689716—21no—
62#15689714—21no—
63#15689710—21no—
64#15689708—21no—
65#15689675C2211yescharacteristic, complemented
66#15689668C2211yescharacteristic
67#15689653C2211yescharacteristic
68#15689651—21no—
69#15689650—21no—
70#125×D47—21no—
71C2×#13094010—21no—
72#15689605C2211yescharacteristic, complemented
73#15689604C2211yescharacteristic, complemented
74#15689598C2211yescharacteristic
75#15689595C2211yescharacteristic
76#41×Dic47C2211yescharacteristic
77#15689591C2211yescharacteristic, complemented
78#15689533C2211yescharacteristic, complemented
79#15689531C2211yescharacteristic, complemented
80#15689520C2211yescharacteristic, complemented
81#15689518C2211yescharacteristic, complemented
82#15689516C2211yescharacteristic, complemented
83#15689494C2211yescharacteristic
84#15689479C2211yescharacteristic, complemented
85#15689474C2211yescharacteristic, complemented
86#15689472C2211yescharacteristic, complemented
87#15689472C2211yescharacteristic, complemented
88#15689468C2211yescharacteristic
89#15689467C2211yescharacteristic, complemented
90#15689466C2211yescharacteristic, complemented
91#15689465C2211yescharacteristic, complemented
92#15689465C2211yescharacteristic, complemented
93#15689461C2211yescharacteristic, complemented
94#15689461C2211yescharacteristic, complemented
95#15689452C2211yescharacteristic, complemented
96#15689447C2211yescharacteristic, complemented
97#15689441C2211yescharacteristic
98#15689440C2211yescharacteristic
99#15689425C2211yescharacteristic
100#15689421C2211yescharacteristic, complemented
101#15689420C2211yescharacteristic, complemented
102#15689416C2211yescharacteristic, complemented
103#15689414C2211yescharacteristic, complemented
104#15689412C2211yescharacteristic, complemented
105#15689411C2211yescharacteristic
106#15689408C2211yescharacteristic, complemented
107#15689407C2211yescharacteristic, complemented
108#15689407C2211yescharacteristic, complemented
109#15689402C2211yescharacteristic, complemented
110#15689380C2211yescharacteristic, complemented
111#15689379C2211yescharacteristic, complemented
112#15689371C2211yescharacteristic
113#15689368C2211yescharacteristic
114#15689363C2211yescharacteristic, complemented
115#15689354C2211yescharacteristic, complemented
116#15689352C2211yescharacteristic
117#15689352C2211yescharacteristic, complemented
118#15689351C2211yescharacteristic
119#15689350C2211yescharacteristic, complemented
120#15689348C2211yescharacteristic, complemented
121#15689341C2211yescharacteristic, complemented
122#15689335C2211yescharacteristic, complemented
123#15689331C2211yescharacteristic, complemented
124#15689329C2211yescharacteristic, complemented
125#15689328C2211yescharacteristic
126#15689326C2211yescharacteristic
127#15689326C2211yescharacteristic
128#15689326C2211yescharacteristic, complemented
129#15689322C2211yescharacteristic
130#15689317C2211yescharacteristic
131#15689285C2211yescharacteristic
132#15689284C2211yescharacteristic, complemented
133#15689283C2211yescharacteristic, complemented
134#15689275C2211yescharacteristic
135#15689275C2211yescharacteristic
136#15689274C2211yescharacteristic
137#15689270C2211yescharacteristic
138#15689270C2211yescharacteristic, complemented
139#15689267C2211yescharacteristic
140#15689266C2211yescharacteristic, complemented
141#15689252C2211yescharacteristic, complemented
142C8×Dic94C2211yescharacteristic, complemented
143#15689234C2211yescharacteristic, complemented
144#15689233C2211yescharacteristic
145#15689232C2211yescharacteristic
146#15689232C2211yescharacteristic, complemented
147#15689230C2211yescharacteristic, complemented
148#15689227C2211yescharacteristic, complemented
149#15689224C2211yescharacteristic
150#15689222C2211yescharacteristic, complemented
151#15689221C2211yescharacteristic, complemented
152#15689220C2211yescharacteristic
153#15689220C2211yescharacteristic, complemented
154#15689220C2211yescharacteristic, complemented
155#15689215C2211yescharacteristic, complemented
156#15689215C2211yescharacteristic, complemented
157#15689214C2211yescharacteristic
158#15689214C2211yescharacteristic
159#15689214C2211yescharacteristic
160#15689214C2211yescharacteristic, complemented
161SD16×Dic47C2211yescharacteristic, complemented
162#15689210C2211yescharacteristic, complemented
163#15689208C2211yescharacteristic, complemented
164#15689208C2211yescharacteristic, complemented
165#15689208C2211yescharacteristic, complemented
166C4×D376C2211yescharacteristic, complemented
167#15689203C2211yescharacteristic
168#15689203C2211yescharacteristic
169#15689203C2211yescharacteristic, complemented
170#15689198C2211yescharacteristic
171#15689195C2211yescharacteristic, complemented
172#15689191C2211yescharacteristic, complemented
173C8×C22⋊D47C2211yescharacteristic
174C8×C22⋊D47C2211yescharacteristic, complemented
175#15689183C2211yescharacteristic, complemented
176#15689181C2211yescharacteristic, complemented
177#15689177C2211yescharacteristic, complemented
178#15689163C2211yescharacteristic, complemented
179#15689162C2211yescharacteristic, complemented
180#15689159C2211yescharacteristic, complemented
181#15689120C2211yescharacteristic, complemented
182#15689120C2211yescharacteristic, complemented
183#15689118C2211yescharacteristic, complemented
184#102×D47C2211yescharacteristic
185#15689078C2211yescharacteristic, complemented
186#15689077C2211yescharacteristic, complemented
187C2×C8×Dic47C2211yescharacteristic, complemented
188C47×#552C2211yescharacteristic, complemented
189C47×#546C2211yescharacteristic
190C47×#488C2211yescharacteristic, complemented
191C47×#483C2211yescharacteristic, complemented
192C47×#482C2211yescharacteristic, complemented
193C47×#478C2211yescharacteristic
194C47×#467C2211yescharacteristic, complemented
195C47×#465C2211yescharacteristic, complemented
196C47×#464C2211yescharacteristic, complemented
197C47×#452C2211yescharacteristic
198C47×#450C2211yescharacteristic
199C4×SD16×C47C2211yescharacteristic
200C8×D4×C47C2211yescharacteristic, complemented
201C47×#416C2211yescharacteristic
202C2×#102×C47C2211yescharacteristic
203C2×#10625354C2311yescharacteristic
204C2×#10625350C2311yescharacteristic
205C2×#10625350C2311yescharacteristic
206C2×#10625352—21no—
207C22×Dic94—21no—
208C22×C22⋊D47—21no—
209C2×D4×D47C2311yescharacteristic
210#13094051—24no—
211#13094050—24no—
212#13094044—24no—
213C2×#10625337C2311yescharacteristic
214C2×#10625337C2311yescharacteristic
215C2×#10625325C2311yescharacteristic
216C2×#10625325C2311yescharacteristic
217C2×#10625335C2311yescharacteristic
218C2×#10625335C2311yescharacteristic
219C2×#10625335C2311yescharacteristic
220C2×#10625335C2311yescharacteristic
221C2×#10625336C2311yescharacteristic
222C2×#10625336C2311yescharacteristic
223C2×D376C2311yescharacteristic
224C2×#10625334C2311yescharacteristic
225C2×#10625334C2311yescharacteristic
226C2×#10625329C2311yescharacteristic
227C2×#10625324C2311yescharacteristic
228C22×C47⋊C8C2311yescharacteristic
229C2×C8×D47C2311yescharacteristic
230#13094024C2311yescharacteristic
231#13094024C2311yescharacteristic
232#13094023C2311yescharacteristic
233#13094023C2311yescharacteristic
234#13094023C2311yescharacteristic
235#13094022C2311yescharacteristic
236#13094022C2311yescharacteristic
237#13094020C2311yescharacteristic
238#13094019—21no—
239#13094019—21no—
240#13094019—21no—
241#13094019—21no—
242#13094019D411yescharacteristic
243#13094017—21no—
244#13094017—21no—
245#13094017—21no—
246#13094017—21no—
247#13094017—21no—
248#13094017D411yescharacteristic
249#13094016—21no—
250#13094016—21no—
251#13094015—21no—
252#13094015—21no—
253#13094015—21no—
254#13094015C2311yescharacteristic
255#13094014—21no—
256#13094014—21no—
257#13094014—21no—
258#13094014—21no—
259#13094014—21no—
260#13094014D411yescharacteristic
261#13094013C2311yescharacteristic
262#13094011—21no—
263#13094010—21no—
264#13094010—21no—
265#13094010—21no—
266#13094010—21no—
267#13094010—21no—
268#13094010—21no—
269#13094010—21no—
270#13094010—21no—
271#13094010D411yescharacteristic
272#13094009—21no—
273#13094009—21no—
274#13094008—21no—
275#13094008—21no—
276#13094008D411yescharacteristic
277#13094007—21no—
278#13094006—21no—
279#13094006—21no—
280#13094006—21no—
281#13094006—21no—
282#13094006—21no—
283#13094006—21no—
284#13094006—21no—
285#13094005D411yescharacteristic
286#13094004—21no—
287#13094004—21no—
288#13094004C2311yescharacteristic
289#13094004C2311yescharacteristic
290#13094003—21no—
291#13094003—21no—
292#13094003C2311yescharacteristic
293#13094003C2311yescharacteristic
294#13094002—21no—
295#13094002—21no—
296#13094002—21no—
297#13094001—21no—
298#13094001—21no—
299#13094001—21no—
300#13094001—21no—
301#13094001D411yescharacteristic
302#13094000C2311yescharacteristic
303#13093998C2311yescharacteristic
304#13093998C2311yescharacteristic
305#13093997—21no—
306#13093997—21no—
307#13093996—21no—
308#13093996—21no—
309#13093996—21no—
310#13093996—21no—
311#13093996D411yescharacteristic
312#13093995—21no—
313#13093995—21no—
314#13093995C2311yescharacteristic
315#13093993—21no—
316#13093992—21no—
317#13093992—21no—
318Q8×Dic47C2311yescharacteristic
319Q8×Dic47C2311yescharacteristic
320Q8×Dic47C2311yescharacteristic
321C4×Dic94—21no—
322C4×Dic94C2311yescharacteristic
323#13093989—21no—
324#13093989—21no—
325#13093989C2311yescharacteristic
326#13093989C2311yescharacteristic
327#13093989C2311yescharacteristic
328#13093989C2311yescharacteristic
329C4×D188—21no—
330C4×D188C2311yescharacteristic
331C4×D188C2311yescharacteristic
332D4×Dic47—21no—
333D4×Dic47—21no—
334D4×Dic47—21no—
335D4×Dic47—21no—
336D4×Dic47C2311yescharacteristic
337D4×Dic47C2311yescharacteristic
338D4×Dic47C2311yescharacteristic
339D4×Dic47C2311yescharacteristic
340D4×Dic47C2311yescharacteristic
341#13093986—21no—
342#13093986C2311yescharacteristic
343#13093986C2311yescharacteristic
344#13093986C2311yescharacteristic
345#13093986C2311yescharacteristic
346C4×C22⋊D47—21no—
347C4×C22⋊D47—21no—
348C4×C22⋊D47—21no—
349C4×C22⋊D47—21no—
350C4×C22⋊D47C2311yescharacteristic
351C4×C22⋊D47C2311yescharacteristic
352(C22⋊D47)⋊C4—21no—
353(C22⋊D47)⋊C4—21no—
354(C22⋊D47)⋊C4—21no—
355(C22⋊D47)⋊C4—21no—
356(C22⋊D47)⋊C4—21no—
357#13093983—21no—
358#13093983C2311yescharacteristic
359#13093983C2311yescharacteristic
360#13093983C2311yescharacteristic
361#13093982—21no—
362#13093982—21no—
363#13093982C2311yescharacteristic
364#13093981—21no—
365#13093981—21no—
366#13093981—21no—
367#13093981C2311yescharacteristic
368#13093980—21no—
369#13093980—21no—
370C4⋊C4×D47—21no—
371C4⋊C4×D47—21no—
372C4⋊C4×D47—21no—
373C4⋊C4×D47—21no—
374C4⋊C4×D47—21no—
375C4⋊C4×D47—21no—
376C4⋊C4×D47C2311yescharacteristic
377C2×C22⋊Dic47—21no—
378C2×C22⋊Dic47—21no—
379C2×(C2×D47)⋊C4—21no—
380C2×(C2×D47)⋊C4—21no—
381C22⋊C4×D47—21no—
382C2×C4×Dic47—21no—
383C2×C4×Dic47C2311yescharacteristic
384C42×D47—21no—
385#13093958C2311yescharacteristic
386#13093957C2311yescharacteristic
387#13093957C2311yescharacteristic
388#13093957C2311yescharacteristic
389#13093957C2311yescharacteristic
390#13093956C2311yescharacteristic
391#13093956C2311yescharacteristic
392#13093955C2311yescharacteristic
393#13093955C2311yescharacteristic
394#13093955C2311yescharacteristic
395#13093955C2311yescharacteristic
396#13093955C2311yescharacteristic
397#13093955C2311yescharacteristic
398C4⋊(C47⋊C8)C2311yescharacteristic
399Dic47⋊C8C2311yescharacteristic
400Dic47⋊C8C2311yescharacteristic
401Dic47⋊C8C2311yescharacteristic
402Dic47⋊C8C2311yescharacteristic
403#13093949C2311yescharacteristic
404#13093949C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093947C2311yescharacteristic
414#13093947C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093945C2311yescharacteristic
420#13093945C2311yescharacteristic
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#13093935C2311yescharacteristic
430#13093934C2311yescharacteristic
431#13093934C2311yescharacteristic
432#13093934C2311yescharacteristic
433C8×Dic47C2311yescharacteristic
434C8×Dic47C2311yescharacteristic
435C8×Dic47C2311yescharacteristic
436C8×Dic47C2311yescharacteristic
437C8×Dic47C2311yescharacteristic
438C2×#41×C47C2311yescharacteristic
439C22×D4×C47C2311yescharacteristic
440C2×Q16×C47C2311yescharacteristic
441C2×SD16×C47C2311yescharacteristic
442C2×SD16×C47C2311yescharacteristic
443C22×C8×C47C2311yescharacteristic
444C22×C8×C47C2311yescharacteristic
445#126×C47—21no—
446#125×C47—21no—
447#125×C47C2311yescharacteristic
448#124×C47C2311yescharacteristic
449#123×C47—21no—
450#123×C47—21no—
451C22⋊Q8×C47C2311yescharacteristic
452C22⋊Q8×C47C2311yescharacteristic
453C22⋊Q8×C47C2311yescharacteristic
454#121×C47—21no—
455#121×C47C2311yescharacteristic
456#120×C47—21no—
457C4×Q8×C47C2311yescharacteristic
458C4×D4×C47C2311yescharacteristic
459C4×D4×C47C2311yescharacteristic
460#117×C47—21no—
461#117×C47C2311yescharacteristic
462C2×C4⋊C4×C47C2311yescharacteristic
463C2×C22⋊C4×C47—21no—
464#107×C47C2311yescharacteristic
465#106×C47C2311yescharacteristic
466#106×C47C2311yescharacteristic
467C4⋊C8×C47C2311yescharacteristic
468#103×C47C2311yescharacteristic
469#103×C47C2311yescharacteristic
470#103×C47C2311yescharacteristic
471#103×C47C2311yescharacteristic
472#102×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#102×C47C2311yescharacteristic
476#102×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478C22⋊C8×C47C2311yescharacteristic
479C22⋊C8×C47C2311yescharacteristic
480C4×C8×C47C2311yescharacteristic
481C24×C47—21no—
482C23×D47—21no—
483#41×C47—22no—
484#41×C47—41no—
485C2×Q8×C47C2411yescharacteristic
486C2×Q8×C47C2411yescharacteristic
487C2×D4×C47—22no—
488C2×D4×C47—21no—
489C2×D4×C47—21no—
490C2×D4×C47—21no—
491C2×D4×C47—41no—
492C2×D4×C47C2×D411yescharacteristic
493C2×D4×C47C2411yescharacteristic
494C2×D4×C47C2411yescharacteristic
495C22×C4×C47—21no—
496C22×C4×C47—21no—
497C22×C4×C47—21no—
498C22×C4×C47C2411yescharacteristic
499C22×C4×C47C2411yescharacteristic
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—82no—
509C2×C22⋊D47C2×D411yescharacteristic
510C2×C22⋊D47C2×D411yescharacteristic
511C22×Dic47—21no—
512C22×Dic47—21no—
513C22×Dic47—21no—
514C22×Dic47—21no—
515C22×Dic47—21no—
516C22×Dic47C2×D411yescharacteristic
517C22×Dic47C2×D411yescharacteristic
518#10625354—22no—
519#10625354—41no—
520#10625352—82no—
521D4×D47—22no—
522D4×D47—41no—
523#10625350—22no—
524#10625350—22no—
525#10625350—41no—
526#10625350—41no—
527C2×D188—21no—
528C2×D188C2411yescharacteristic
529C2×D188C2411yescharacteristic
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×D47C2411yescharacteristic
541C2×Dic94—21no—
542C2×Dic94—21no—
543C2×Dic94—21no—
544C2×Dic94—21no—
545C2×Dic94—82no—
546C2×Dic94C2×D411yescharacteristic
547C2×Dic94C2411yescharacteristic
548C2×Dic94C2411yescharacteristic
549Q16×C47—41no—
550SD16×C47—22no—
551SD16×C47—41no—
552C2×C8×C47—41no—
553C2×C8×C47—41no—
554C2×C8×C47C2411yescharacteristic
555C2×C8×C47C2411yescharacteristic
556C2×C8×C47C2411yescharacteristic
557C2×C8×C47C2411yescharacteristic
558C4⋊C4×C47—21no—
559C4⋊C4×C47—21no—
560C4⋊C4×C47—21no—
561C4⋊C4×C47—21no—
562C4⋊C4×C47—21no—
563C4⋊C4×C47—21no—
564C4⋊C4×C47—21no—
565C4⋊C4×C47C2×D411yescharacteristic
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×C47C2411yescharacteristic
583C22⋊Dic47—21no—
584C22⋊Dic47—21no—
585C22⋊Dic47—21no—
586C22⋊Dic47—21no—
587C22⋊Dic47—21no—
588C22⋊Dic47—21no—
589C22⋊Dic47—21no—
590C22⋊Dic47—21no—
591C22⋊Dic47—21no—
592C22⋊Dic47—21no—
593C22⋊Dic47C2×D411yescharacteristic
594C22⋊Dic47C2×D411yescharacteristic
595C22⋊Dic47C2×D411yescharacteristic
596C22⋊Dic47C2×D411yescharacteristic
597#10625337—22no—
598#10625337—41no—
599#10625336—22no—
600#10625336—22no—
601#10625335—22no—
602#10625335—22no—
603#10625335—22no—
604#10625335—41no—
605#10625334—22no—
606#10625334#4114yescomplemented
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)⋊C4—21no—
620(C2×D47)⋊C4—21no—
621(C2×D47)⋊C4C2×D411yescharacteristic
622(C2×D47)⋊C4C2×D411yescharacteristic
623(C2×D47)⋊C4C2×D411yescharacteristic
624(C2×D47)⋊C4C2×D411yescharacteristic
625C4⋊Dic47—21no—
626C4⋊Dic47—21no—
627C4⋊Dic47—21no—
628C4⋊Dic47—21no—
629C4⋊Dic47—21no—
630C4⋊Dic47—21no—
631C4⋊Dic47—21no—
632C4⋊Dic47—21no—
633C4⋊Dic47—21no—
634C4⋊Dic47C2×D411yescharacteristic
635C4⋊Dic47C2×D411yescharacteristic
636C4⋊Dic47C2×D411yescharacteristic
637C4⋊Dic47C2411yescharacteristic
638C4⋊Dic47C2411yescharacteristic
639C4⋊Dic47C2411yescharacteristic
640C4⋊Dic47C2411yescharacteristic
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⋊C4—21no—
654Dic47⋊C4—21no—
655Dic47⋊C4—21no—
656Dic47⋊C4—21no—
657Dic47⋊C4C2×D411yescharacteristic
658Dic47⋊C4C2×D411yescharacteristic
659Dic47⋊C4C2×D411yescharacteristic
660Dic47⋊C4C2×D411yescharacteristic
661Dic47⋊C4C2×D411yescharacteristic
662Dic47⋊C4C2×D411yescharacteristic
663C4×Dic47—21no—
664C4×Dic47—21no—
665C4×Dic47—21no—
666C4×Dic47—21no—
667C4×Dic47—21no—
668C4×Dic47—21no—
669C4×Dic47—21no—
670C4×Dic47—21no—
671C4×Dic47—21no—
672C4×Dic47—21no—
673C4×Dic47C2×D411yescharacteristic
674C4×Dic47C2×D411yescharacteristic
675C4×Dic47C2411yescharacteristic
676C4×Dic47C2411yescharacteristic
677C4×Dic47C2411yescharacteristic
678#10625329—22no—
679C2×C47⋊C8—22no—
680C2×C47⋊C8C2411yescharacteristic
681C2×C47⋊C8C2411yescharacteristic
682C2×C47⋊C8C2411yescharacteristic
683C2×C47⋊C8C2411yescharacteristic
684D376—22no—
685#10625325—41no—
686#10625325—41no—
687#10625324—22no—
688C8×D47—41no—
689C23×C47—21no—
690C23×C47—21no—
691C23×C47—42no—
692C23×C47—81no—
693C23×C47—81no—
694C23×C47C22×D411yescharacteristic
695C23×C47C22×D411yescharacteristic
696C22×D47—21no—
697C22×D47—21no—
698C22×D47—42no—
699C22×D47—81no—
700C22×D47—81no—
701C22×D47C22×D411yescharacteristic
702Q8×C47—21no—
703Q8×C47—21no—
704Q8×C47—21no—
705Q8×C47—21no—
706D4×C47—21no—
707D4×C47—21no—
708D4×C47—21no—
709D4×C47—41no—
710D4×C47—42no—
711D4×C47—42no—
712D4×C47—81no—
713D4×C47C2×#4112yes—
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—21no—
722C2×C4×C47—21no—
723C2×C4×C47—21no—
724C2×C4×C47—42no—
725C2×C4×C47—81no—
726C2×C4×C47—81no—
727C2×C4×C47C22×D411yescharacteristic
728C2×C4×C47C22×D411yescharacteristic
729C2×C4×C47C22×D411yescharacteristic
730C2×C4×C47C22×D411yescharacteristic
731C2×C4×C47C2511yescharacteristic
732C22⋊D47—22no—
733C22⋊D47—41no—
734C22⋊D47—42no—
735C22⋊D47—42no—
736C22⋊D47—42no—
737C22⋊D47—42no—
738C22⋊D47—81no—
739C22⋊D47—81no—
740C22⋊D47—81no—
741C22⋊D47—81no—
742C2×Dic47—22no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—41no—
750C2×Dic47—42no—
751C2×Dic47—81no—
752C2×Dic47—81no—
753C2×Dic47—81no—
754C2×Dic47—81no—
755C2×Dic47C22×D411yescharacteristic
756C2×Dic47C22×D411yescharacteristic
757C2×Dic47C22×D411yescharacteristic
758C2×Dic47C22×D411yescharacteristic
759C2×Dic47C22×D411yescharacteristic
760C2×Dic47C22×D411yescharacteristic
761C2×Dic47C22×D411yescharacteristic
762D188—21no—
763D188—21no—
764D188—21no—
765D188—42no—
766D188C2×#4112yes—
767C4×D47—21no—
768C4×D47—21no—
769C4×D47—42no—
770C4×D47—42no—
771C4×D47—42no—
772C4×D47—42no—
773C4×D47—81no—
774C4×D47—81no—
775C4×D47—81no—
776C4×D47—81no—
777C4×D47—81no—
778C4×D47—81no—
779Dic94—22no—
780Dic94—21no—
781Dic94—21no—
782Dic94—21no—
783Dic94—21no—
784Dic94—42no—
785Dic94—81no—
786Dic94—81no—
787Dic94—81no—
788C8×C47—21no—
789C8×C47—21no—
790C8×C47—21no—
791C8×C47—21no—
792C47⋊C8—21no—
793C47⋊C8—21no—
794C47⋊C8—21no—
795C47⋊C8C2×#4112yes—
796#61493—471nomaximal, Sylow
797C22×C47—21no—
798C22×C47—21no—
799C22×C47—21no—
800C22×C47—21no—
801C22×C47—22no—
802C22×C47—21no—
803C22×C47—21no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47—41no—
807C22×C47—41no—
808C22×C47—41no—
809C22×C47—162no—
810C22×C47C23×D411yescharacteristic
811C2×D47—21no—
812C2×D47—21no—
813C2×D47—22no—
814C2×D47—21no—
815C2×D47—41no—
816C2×D47—41no—
817C2×D47—41no—
818C2×D47—41no—
819C2×D47—41no—
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×C47C22×#4111yescharacteristic
832C4×C47#58511yescharacteristic
833Dic47—21no—
834Dic47—21no—
835Dic47—21no—
836Dic47—21no—
837Dic47—21no—
838Dic47—21no—
839Dic47—41no—
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#3348—471no—
855#3303—471no—
856#3303—471no—
857#3302—471no—
858#3296—471no—
859#3296D4711yescharacteristic, complemented
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—42no—
878C2×C47—41no—
879C2×C47—41no—
880C2×C47—81no—
881C2×C47D4×#4111yescharacteristic
882C2×C47C2×#57711yescharacteristic
883C2×C47#358411yescharacteristic
884D47—41no—
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#555—471no—
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—941no—
912#546C2×D4711yescharacteristic
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#501—471no—
937#498—471no—
938#497—471no—
939#497—471no—
940#492—471no—
941#488—471no—
942#488C2×D4711yescharacteristic, complemented
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#485—471no—
952#485—471no—
953#483—471no—
954#483C2×D4711yescharacteristic, complemented
955#482—471no—
956#482C2×D4711yescharacteristic, complemented
957#481—471no—
958#481—471no—
959#478—471no—
960#478—471no—
961#478—471no—
962#478C2×D4711yescharacteristic
963#477—471no—
964#476—471no—
965#476—471no—
966#476—471no—
967#475—471no—
968#475—471no—
969#475—471no—
970#474—471no—
971#470—471no—
972#470—471no—
973#468—471no—
974#468—471no—
975#467—471no—
976#467C2×D4711yescharacteristic, complemented
977#465—471no—
978#465—471no—
979#465—471no—
980#465—471no—
981#465—471no—
982#465C2×D4711yescharacteristic, complemented
983#464—471no—
984#464C2×D4711yescharacteristic, complemented
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#452C2×D4711yescharacteristic
999#450—471no—
1000#450—471no—
1001#450—471no—
1002#450C2×D4711yescharacteristic
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#440—471no—
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×SD16C2×D4711yescharacteristic
1033C4×D8—471no—
1034C4×D8—471no—
1035C4×D8—471no—
1036C4×D8—471no—
1037#436—471no—
1038#435—471no—
1039#435—471no—
1040C8×D4—471no—
1041C8×D4—471no—
1042C8×D4C2×D4711yescharacteristic, complemented
1043#433—471no—
1044#433—471no—
1045#432—471no—
1046#428—471no—
1047#428—471no—
1048#427—471no—
1049#416—471no—
1050#416—471no—
1051#416—471no—
1052#416C2×D4711yescharacteristic
1053C2×#102—471no—
1054C2×#102C2×D4711yescharacteristic
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—941no—
1063C2×#41C22×D4711yescharacteristic
1064C22×Q8—941no—
1065C22×D4—471no—
1066C22×D4—941no—
1067C22×D4C22×D4711yescharacteristic
1068AGL(1,ℤ/8)—944no—
1069AGL(1,ℤ/8)—944no—
1070#135—944no—
1071C2×Q16—471no—
1072C2×Q16—471no—
1073C2×Q16C22×D4711yescharacteristic
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×SD16C22×D4711yescharacteristic
1083C2×SD16C22×D4711yescharacteristic
1084C2×D8—471no—
1085C2×D8—471no—
1086C2×D8—471no—
1087C2×M16—471no—
1088C2×M16—471no—
1089C22×C8—471no—
1090C22×C8—471no—
1091C22×C8C22×D4711yescharacteristic
1092C22×C8C22×D4711yescharacteristic
1093C4⋊Q8—471no—
1094C4⋊Q8—471no—
1095C4⋊Q8—471no—
1096C4⋊Q8—471no—
1097C4⋊Q8—471no—
1098C4⋊Q8—471no—
1099C4⋊Q8—471no—
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—471no—
1128#124—471no—
1129#124—941no—
1130#124—941no—
1131#124—941no—
1132#124—941no—
1133#124—941no—
1134#124—941no—
1135#124—941no—
1136#124—941no—
1137#124—941no—
1138#124C22×D4711yescharacteristic
1139#123—21no—
1140#123—21no—
1141#123—471no—
1142#123—471no—
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—941no—
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⋊Q8C22×D4711yescharacteristic
1173C22⋊Q8C22×D4711yescharacteristic
1174C22⋊Q8C22×D4711yescharacteristic
1175#121—21no—
1176#121—471no—
1177#121—471no—
1178#121—471no—
1179#121—471no—
1180#121—941no—
1181#121—941no—
1182#121—941no—
1183#121—941no—
1184#121—941no—
1185#121—941no—
1186#121—941no—
1187#121—941no—
1188#121C22×D4711yescharacteristic
1189#120—21no—
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—471no—
1237#117—471no—
1238#117—471no—
1239#117—471no—
1240#117—471no—
1241#117—941no—
1242#117—941no—
1243#117—941no—
1244#117—941no—
1245#117—941no—
1246#117—941no—
1247#117—941no—
1248#117—941no—
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—21no—
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#107—471no—
1270#107—471no—
1271#107—471no—
1272#107C22×D4711yescharacteristic
1273#106—471no—
1274#106—471no—
1275#106—471no—
1276#106—471no—
1277#106—471no—
1278#106—471no—
1279#106—471no—
1280#106—471no—
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#103C22×D4711yescharacteristic
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#102C22×D4711yescharacteristic
1316#102C22×D4711yescharacteristic
1317#102C22×D4711yescharacteristic
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#97—471no—
1331C4×C8—471no—
1332C4×C8—471no—
1333C4×C8—471no—
1334C4×C8—471no—
1335C4×C8—471no—
1336C4×C8C22×D4711yescharacteristic
1337C24—21no—
1338C24—941no—
1339#41—22no—
1340#41—41no—
1341#41—942no—
1342#41—942no—
1343#41—942no—
1344#41—3762no—
1345#41—1881no—
1346#41—1881no—
1347#41—1881no—
1348C2×Q8—471no—
1349C2×Q8—471no—
1350C2×Q8—471no—
1351C2×Q8—941no—
1352C2×Q8—941no—
1353C2×Q8—941no—
1354C2×Q8—941no—
1355C2×Q8—3762no—
1356C2×Q8C23×D4711yescharacteristic
1357C2×Q8C23×D4711yescharacteristic
1358C2×D4—22no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—41no—
1363C2×D4—471no—
1364C2×D4—471no—
1365C2×D4—471no—
1366C2×D4—471no—
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×D4D4×D4711yescharacteristic
1380C2×D4C23×D4711yescharacteristic
1381C2×D4C23×D4711yescharacteristic
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—471no—
1386C22×C4—471no—
1387C22×C4—471no—
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—41no—
1406Q16—942no—
1407Q16—1881no—
1408SD16—22no—
1409SD16—41no—
1410SD16—942no—
1411SD16—942no—
1412SD16—942no—
1413SD16—942no—
1414SD16—942no—
1415SD16—1881no—
1416SD16—1881no—
1417SD16—1881no—
1418D8—474no—
1419D8—942no—
1420D8—942no—
1421M16—942no—
1422M16—942no—
1423C2×C8—41no—
1424C2×C8—41no—
1425C2×C8—471no—
1426C2×C8—471no—
1427C2×C8—471no—
1428C2×C8—471no—
1429C2×C8—942no—
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—471no—
1454C4⋊C4—471no—
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⋊C4—941no—
1479C4⋊C4—941no—
1480C4⋊C4D4×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—471no—
1530C42—471no—
1531C42—471no—
1532C42—471no—
1533C42—471no—
1534C42—941no—
1535C42—941no—
1536C42—941no—
1537C42—941no—
1538C42—941no—
1539C42—941no—
1540C42—941no—
1541C42—941no—
1542C42—941no—
1543C42—941no—
1544C42C23×D4711yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—42no—
1548C23—81no—
1549C23—81no—
1550C23—471no—
1551C23—941no—
1552C23—941no—
1553C23—3761no—
1554C23—3761no—
1555C23—1882no—
1556C23C2×D4×D4711yescharacteristic
1557C23C2×D4×D4711yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—942no—
1563Q8—941no—
1564Q8—941no—
1565Q8—941no—
1566Q8—941no—
1567Q8—3761no—
1568Q8—3761no—
1569Q8—3761no—
1570Q8—1882no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—41no—
1575D4—42no—
1576D4—42no—
1577D4—81no—
1578D4—472no—
1579D4—942no—
1580D4—941no—
1581D4—941no—
1582D4—941no—
1583D4—3761no—
1584D4—3761no—
1585D4—3761no—
1586D4—3761no—
1587D4—1882no—
1588D4—1882no—
1589D4—1881no—
1590D4—1882no—
1591D4—1882no—
1592D4—1882no—
1593D4#41×D4712yes—
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—42no—
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—941no—
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—3761no—
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—21no—
1648C8—472no—
1649C8—941no—
1650C8—941no—
1651C8—941no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—22no—
1657C22—21no—
1658C22—21no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—162no—
1665C22—941no—
1666C22—941no—
1667C22—942no—
1668C22—941no—
1669C22—1881no—
1670C22—1881no—
1671C22—1881no—
1672C22—1881no—
1673C22—1881no—
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—472no—
1687C4—941no—
1688C4—941no—
1689C4—941no—
1690C4—941no—
1691C4—941no—
1692C4—941no—
1693C4—1881no—
1694C4—1881no—
1695C4—1881no—
1696C4—1881no—
1697C4—1881no—
1698C4—1881no—
1699C4C2×#41×D4711yescharacteristic
1700C4#1568995811yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—42no—
1704C2—81no—
1705C2—3761no—
1706C2—1881no—
1707C2—1882no—
1708C2#2025687211yescharacteristic
1709C2#577×D4711yescharacteristic
1710C2#2025815711yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3296C2
socleC22×C47C23×D4
hypercenter#3296D47
hypocenterC47#61493
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #20257362C2semidirect
2. #20257336C2semidirect
3. #20256444C2semidirect
4. #20256290C2semidirect
5. #20256045C2semidirect
6. #20256028C2semidirect
7. #20255996C2semidirect
8. #20255901C2semidirect
9. #20255897C2semidirect
10. #20255317C2semidirect
11. #20255311C2semidirect
12. #20255300C2semidirect
13. #20255224C2semidirect
14. #20255208C2semidirect
15. #20254986C2semidirect
16. #20254917C2semidirect
17. #20254909C2semidirect
18. #20254059C2semidirect
19. #20254055C2semidirect
20. #20253942C2semidirect
21. #20253664C2semidirect
22. #20253660C2semidirect
23. #20253642C2semidirect
24. #20253634C2semidirect
25. #20253543C2semidirect
26. #20253534C2semidirect
27. #20252356C2semidirect
28. #20252215C2semidirect
29. #20252214C2semidirect
30. #20252156C2semidirect
31. C47×#3296C2semidirect
36. #15689851C22semidirect
40. #15689829C22semidirect
44. #15689812C22semidirect
51. #15689778C22semidirect
53. #15689775C22semidirect
59. #15689736C22semidirect
60. #15689733C22semidirect
65. #15689675C22semidirect
72. #15689605C22semidirect
73. #15689604C22semidirect
77. #15689591C22semidirect
78. #15689533C22semidirect
79. #15689531C22semidirect
80. #15689520C22semidirect
81. #15689518C22semidirect
82. #15689516C22semidirect
84. #15689479C22semidirect
85. #15689474C22semidirect
86. #15689472C22semidirect
87. #15689472C22semidirect
89. #15689467C22semidirect
90. #15689466C22semidirect
91. #15689465C22semidirect
92. #15689465C22semidirect
93. #15689461C22semidirect
94. #15689461C22semidirect
95. #15689452C22semidirect
96. #15689447C22semidirect
100. #15689421C22semidirect
101. #15689420C22semidirect
102. #15689416C22semidirect
103. #15689414C22semidirect
104. #15689412C22semidirect
106. #15689408C22semidirect
107. #15689407C22semidirect
108. #15689407C22semidirect
109. #15689402C22semidirect
110. #15689380C22semidirect
111. #15689379C22semidirect
114. #15689363C22semidirect
115. #15689354C22semidirect
117. #15689352C22semidirect
119. #15689350C22semidirect
120. #15689348C22semidirect
121. #15689341C22semidirect
122. #15689335C22semidirect
123. #15689331C22semidirect
124. #15689329C22semidirect
128. #15689326C22semidirect
132. #15689284C22semidirect
133. #15689283C22semidirect
138. #15689270C22semidirect
140. #15689266C22semidirect
141. #15689252C22semidirect
142. C8×Dic94C22semidirect
143. #15689234C22semidirect
146. #15689232C22semidirect
147. #15689230C22semidirect
148. #15689227C22semidirect
150. #15689222C22semidirect
151. #15689221C22semidirect
153. #15689220C22semidirect
154. #15689220C22semidirect
155. #15689215C22semidirect
156. #15689215C22semidirect
160. #15689214C22semidirect
161. SD16×Dic47C22semidirect
162. #15689210C22semidirect
163. #15689208C22semidirect
164. #15689208C22semidirect
165. #15689208C22semidirect
166. C4×D376C22semidirect
169. #15689203C22semidirect
171. #15689195C22semidirect
172. #15689191C22semidirect
174. C8×C22⋊D47C22semidirect
175. #15689183C22semidirect
176. #15689181C22semidirect
177. #15689177C22semidirect
178. #15689163C22semidirect
179. #15689162C22semidirect
180. #15689159C22semidirect
181. #15689120C22semidirect
182. #15689120C22semidirect
183. #15689118C22semidirect
185. #15689078C22semidirect
186. #15689077C22semidirect
187. C2×C8×Dic47C22semidirect
188. C47×#552C22semidirect
190. C47×#488C22semidirect
191. C47×#483C22semidirect
192. C47×#482C22semidirect
194. C47×#467C22semidirect
195. C47×#465C22semidirect
196. C47×#464C22semidirect
200. C8×D4×C47C22semidirect
606. #10625334#41semidirect
859. #3296D47semidirect
902. #552C2×D47semidirect
942. #488C2×D47semidirect
954. #483C2×D47semidirect
956. #482C2×D47semidirect
976. #467C2×D47semidirect
982. #465C2×D47semidirect
984. #464C2×D47semidirect
1042. C8×D4C2×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
#202573362
#202564442
#202562902
#202560452
#202560282
#202559962
#202559012
#202558972
#202553172
#202553112
#202553002
#202552242
#202552082
#202549862
#202549172
#202549092
#202540592
#202540552
#202539422
#202536642
#202536602
#202536422
#202536342
#202535432
#202535342
#202523562
#202522152
#202522142
#202521562
C47×#32962
#6149347