Finite Group Databasebeta

← #27099120

Subgroups — #27099120

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#20257353C211yesmaximal, characteristic, complemented
2#20257336C211yesmaximal, characteristic, complemented
3#20256438C211yesmaximal, characteristic, complemented
4#20256288C211yesmaximal, characteristic, complemented
5#20256043C211yesmaximal, characteristic, complemented
6#20256025C211yesmaximal, characteristic, complemented
7#20255998C211yesmaximal, characteristic, complemented
8#20255909C211yesmaximal, characteristic, complemented
9#20255905C211yesmaximal, characteristic, complemented
10#20255316C211yesmaximal, characteristic, complemented
11#20255309C211yesmaximal, characteristic, complemented
12#20255298C211yesmaximal, characteristic, complemented
13#20255223C211yesmaximal, characteristic, complemented
14#20255216C211yesmaximal, characteristic, complemented
15#20255205C211yesmaximal, characteristic, complemented
16#20254982C211yesmaximal, characteristic, complemented
17#20254913C211yesmaximal, characteristic, complemented
18#20254057C211yesmaximal, characteristic, complemented
19#20254053C211yesmaximal, characteristic, complemented
20#20253942C211yesmaximal, characteristic, complemented
21#20253662C211yesmaximal, characteristic, complemented
22#20253658C211yesmaximal, characteristic, complemented
23#20253638C211yesmaximal, characteristic, complemented
24#20253634C211yesmaximal, characteristic, complemented
25#20253543C211yesmaximal, characteristic, complemented
26#20253532C211yesmaximal, characteristic, complemented
27#20252358C211yesmaximal, characteristic, complemented
28#20252221C211yesmaximal, characteristic, complemented
29#20252217C211yesmaximal, characteristic, complemented
30#135×Dic47C211yesmaximal, characteristic, complemented
31C47×#3267C211yesmaximal, characteristic, complemented
32C2×#13094048C2211yescharacteristic
33#15689855C2211yescharacteristic
34#15689848C2211yescharacteristic, complemented
35#15689844C2211yescharacteristic
36#15689838C2211yescharacteristic
37#15689837C2211yescharacteristic
38#15689832C2211yescharacteristic, complemented
39#15689831C2211yescharacteristic
40#15689816—21no—
41#15689813C2211yescharacteristic, complemented
42#15689810—21no—
43#15689810—21no—
44#15689808—21no—
45#15689807C2211yescharacteristic, complemented
46#15689799—21no—
47#15689796—21no—
48D4×Dic94C2211yescharacteristic
49#15689779—21no—
50#15689772C2211yescharacteristic
51#15689772C2211yescharacteristic, complemented
52#15689761C2211yescharacteristic
53#15689760—21no—
54D4×C22⋊D47C2211yescharacteristic
55#15689746C2211yescharacteristic
56#15689742C2211yescharacteristic
57#15689734C2211yescharacteristic, complemented
58#15689733C2211yescharacteristic, complemented
59#15689718—21no—
60#15689717—21no—
61#15689710—21no—
62#15689708—21no—
63#15689675C2211yescharacteristic, complemented
64#15689668C2211yescharacteristic
65#15689653C2211yescharacteristic
66#15689650—21no—
67#15689650—21no—
68C2×#13094014—21no—
69C2×#13094010—21no—
70#15689606C2211yescharacteristic, complemented
71#15689602C2211yescharacteristic, complemented
72#15689598C2211yescharacteristic
73#15689595C2211yescharacteristic
74#41×Dic47C2211yescharacteristic
75#41×Dic47C2211yescharacteristic, complemented
76#15689532C2211yescharacteristic, complemented
77#15689530C2211yescharacteristic, complemented
78#15689520C2211yescharacteristic, complemented
79#15689516C2211yescharacteristic, complemented
80#15689494C2211yescharacteristic
81#15689479C2211yescharacteristic, complemented
82#15689477C2211yescharacteristic, complemented
83#15689473C2211yescharacteristic, complemented
84#15689472C2211yescharacteristic, complemented
85#15689472C2211yescharacteristic, complemented
86#15689468C2211yescharacteristic
87#15689465C2211yescharacteristic, complemented
88#15689465C2211yescharacteristic, complemented
89#15689463C2211yescharacteristic, complemented
90#15689462C2211yescharacteristic, complemented
91#15689461C2211yescharacteristic, complemented
92#15689461C2211yescharacteristic, complemented
93#15689452C2211yescharacteristic, complemented
94#15689451C2211yescharacteristic, complemented
95#15689448C2211yescharacteristic, complemented
96#15689444C2211yescharacteristic, complemented
97#15689442C2211yescharacteristic
98#15689440C2211yescharacteristic
99#15689425C2211yescharacteristic, complemented
100#15689424C2211yescharacteristic, complemented
101#15689423C2211yescharacteristic
102#15689421C2211yescharacteristic
103#15689416C2211yescharacteristic, complemented
104#15689413C2211yescharacteristic, complemented
105#15689411C2211yescharacteristic
106#15689411C2211yescharacteristic, complemented
107#15689409C2211yescharacteristic, complemented
108#15689406C2211yescharacteristic, complemented
109#15689406C2211yescharacteristic, complemented
110#15689401C2211yescharacteristic, complemented
111#15689378C2211yescharacteristic, complemented
112#15689369C2211yescharacteristic
113#15689366C2211yescharacteristic
114#15689362C2211yescharacteristic, complemented
115#15689361C2211yescharacteristic, complemented
116#15689354C2211yescharacteristic
117#15689354C2211yescharacteristic, complemented
118#15689352C2211yescharacteristic, complemented
119#15689350C2211yescharacteristic, complemented
120#15689349C2211yescharacteristic
121#15689347C2211yescharacteristic, complemented
122#15689342C2211yescharacteristic, complemented
123#15689340C2211yescharacteristic, complemented
124#15689331C2211yescharacteristic, complemented
125#15689326C2211yescharacteristic
126#15689326C2211yescharacteristic
127#15689326C2211yescharacteristic, complemented
128#15689325C2211yescharacteristic, complemented
129#15689321C2211yescharacteristic
130#15689316C2211yescharacteristic
131#15689285C2211yescharacteristic
132#15689282C2211yescharacteristic, complemented
133#15689274C2211yescharacteristic
134#15689272C2211yescharacteristic
135#15689272C2211yescharacteristic
136#15689268C2211yescharacteristic
137#15689268C2211yescharacteristic, complemented
138#15689265C2211yescharacteristic
139#15689251C2211yescharacteristic, complemented
140#15689247C2211yescharacteristic, complemented
141#15689235C2211yescharacteristic
142#15689235C2211yescharacteristic, complemented
143#15689232C2211yescharacteristic, complemented
144#15689230C2211yescharacteristic, complemented
145#15689227C2211yescharacteristic, complemented
146#15689226C2211yescharacteristic, complemented
147#15689225C2211yescharacteristic, complemented
148#15689224C2211yescharacteristic
149#15689224C2211yescharacteristic, complemented
150#15689224C2211yescharacteristic, complemented
151#15689220C2211yescharacteristic
152Q16×Dic47C2211yescharacteristic, complemented
153Q16×Dic47C2211yescharacteristic, complemented
154#15689214C2211yescharacteristic, complemented
155SD16×Dic47C2211yescharacteristic
156SD16×Dic47C2211yescharacteristic
157SD16×Dic47C2211yescharacteristic
158SD16×Dic47C2211yescharacteristic, complemented
159SD16×Dic47C2211yescharacteristic, complemented
160SD16×Dic47C2211yescharacteristic, complemented
161#15689210C2211yescharacteristic, complemented
162C4×#10625335C2211yescharacteristic
163#15689208C2211yescharacteristic, complemented
164D8×Dic47C2211yescharacteristic
165D8×Dic47C2211yescharacteristic
166D8×Dic47C2211yescharacteristic, complemented
167C4×#10625334C2211yescharacteristic, complemented
168#15689199C2211yescharacteristic
169#15689194C2211yescharacteristic, complemented
170D4×C47⋊C8C2211yescharacteristic, complemented
171(C22⋊D47)⋊C8C2211yescharacteristic
172(C22⋊D47)⋊C8C2211yescharacteristic, complemented
173#15689183C2211yescharacteristic, complemented
174#15689181C2211yescharacteristic, complemented
175#15689177C2211yescharacteristic, complemented
176#15689165C2211yescharacteristic, complemented
177#15689162C2211yescharacteristic, complemented
178#15689161C2211yescharacteristic, complemented
179#15689119C2211yescharacteristic
180#15689119C2211yescharacteristic, complemented
181#15689119C2211yescharacteristic, complemented
182#15689116C2211yescharacteristic, complemented
183C2×#13093945C2211yescharacteristic
184#102×D47C2211yescharacteristic
185#15689081C2211yescharacteristic, complemented
186#15689080C2211yescharacteristic, complemented
187C2×C8×Dic47C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C47C2211yescharacteristic
189C2×#135×C47C2211yescharacteristic
190C47×#547C2211yescharacteristic, complemented
191C47×#546C2211yescharacteristic
192C47×#497C2211yescharacteristic, complemented
193C47×#470C2211yescharacteristic, complemented
194C47×#465C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#461C2211yescharacteristic
197C47×#452C2211yescharacteristic
198C47×#452C2211yescharacteristic, complemented
199C47×#450C2211yescharacteristic
200C47×#449C2211yescharacteristic, complemented
201C47×#442C2211yescharacteristic
202C47×#435C2211yescharacteristic, complemented
203C2×#10625352—21no—
204C2×#10625352C2311yescharacteristic
205C22×Dic94—21no—
206C22×C22⋊D47—21no—
207C2×D4×D47C2311yescharacteristic
208#13094048—24no—
209C2×#10625337C2311yescharacteristic
210C2×#10625325C2311yescharacteristic
211C2×#10625335C2311yescharacteristic
212C2×#10625335C2311yescharacteristic
213C2×#10625336C2311yescharacteristic
214C2×#10625336C2311yescharacteristic
215C2×#10625334C2311yescharacteristic
216C2×#10625324C2311yescharacteristic
217C22×C47⋊C8C2311yescharacteristic
218C22×C47⋊C8C2311yescharacteristic
219C2×C8×D47C2311yescharacteristic
220#13094024C2311yescharacteristic
221#13094023C2311yescharacteristic
222#13094023C2311yescharacteristic
223#13094023C2311yescharacteristic
224#13094022C2311yescharacteristic
225#13094022C2311yescharacteristic
226#13094020C2311yescharacteristic
227#13094019—21no—
228#13094019—21no—
229#13094019—21no—
230#13094019—21no—
231#13094019D411yescharacteristic
232#13094017—21no—
233#13094017—21no—
234#13094017—21no—
235#13094017—21no—
236#13094017—21no—
237#13094017—21no—
238#13094017D411yescharacteristic
239#13094016C2311yescharacteristic
240#13094015—21no—
241#13094015—21no—
242#13094015C2311yescharacteristic
243#13094014—21no—
244#13094014—21no—
245#13094014—21no—
246#13094014—21no—
247#13094014—21no—
248#13094014—21no—
249#13094014—21no—
250#13094014—21no—
251#13094014—21no—
252#13094014D411yescharacteristic
253#13094013C2311yescharacteristic
254#13094011—21no—
255#13094010—21no—
256#13094010—21no—
257#13094010—21no—
258#13094010—21no—
259#13094010—21no—
260#13094010—21no—
261#13094010—21no—
262#13094010—21no—
263#13094010D411yescharacteristic
264#13094008—21no—
265#13094008—21no—
266#13094008D411yescharacteristic
267#13094007—21no—
268#13094007—21no—
269#13094007—21no—
270#13094006—21no—
271#13094006—21no—
272#13094006—21no—
273#13094005—21no—
274#13094005—21no—
275#13094005—21no—
276#13094005D411yescharacteristic
277#13094004—21no—
278#13094004—21no—
279#13094003—21no—
280#13094003—21no—
281#13094003C2311yescharacteristic
282#13094003C2311yescharacteristic
283#13094001—21no—
284#13094001—21no—
285#13094001—21no—
286#13094001—21no—
287#13094001—21no—
288#13094001—21no—
289#13094001—21no—
290#13094001D411yescharacteristic
291#13094000C2311yescharacteristic
292#13094000C2311yescharacteristic
293#13094000C2311yescharacteristic
294#13093998C2311yescharacteristic
295#13093998C2311yescharacteristic
296#13093996—21no—
297#13093996—21no—
298#13093996—21no—
299#13093996—21no—
300#13093996—21no—
301#13093996—21no—
302#13093996D411yescharacteristic
303#13093995—21no—
304#13093995C2311yescharacteristic
305#13093993—21no—
306#13093992—21no—
307#13093992—21no—
308Q8×Dic47C2311yescharacteristic
309Q8×Dic47C2311yescharacteristic
310Q8×Dic47C2311yescharacteristic
311Q8×Dic47C2311yescharacteristic
312Q8×Dic47C2311yescharacteristic
313Q8×Dic47C2311yescharacteristic
314C4×Dic94C2311yescharacteristic
315C4×Dic94C2311yescharacteristic
316#13093989—21no—
317#13093989—21no—
318#13093989—21no—
319#13093989C2311yescharacteristic
320C4×D188C2311yescharacteristic
321D4×Dic47—21no—
322D4×Dic47—21no—
323D4×Dic47—21no—
324D4×Dic47—21no—
325D4×Dic47—21no—
326D4×Dic47—21no—
327D4×Dic47—21no—
328D4×Dic47—21no—
329D4×Dic47C2311yescharacteristic
330D4×Dic47C2311yescharacteristic
331D4×Dic47C2311yescharacteristic
332D4×Dic47C2311yescharacteristic
333D4×Dic47C2311yescharacteristic
334D4×Dic47C2311yescharacteristic
335D4×Dic47C2311yescharacteristic
336D4×Dic47C2311yescharacteristic
337#13093986C2311yescharacteristic
338C4×C22⋊D47—21no—
339C4×C22⋊D47—21no—
340C4×C22⋊D47C2311yescharacteristic
341C4×C22⋊D47C2311yescharacteristic
342(C22⋊D47)⋊C4—21no—
343(C22⋊D47)⋊C4—21no—
344(C22⋊D47)⋊C4—21no—
345(C22⋊D47)⋊C4—21no—
346(C22⋊D47)⋊C4—21no—
347#13093983—21no—
348#13093983—21no—
349#13093983—21no—
350#13093983C2311yescharacteristic
351#13093983C2311yescharacteristic
352#13093983C2311yescharacteristic
353#13093983C2311yescharacteristic
354#13093982—21no—
355#13093982—21no—
356#13093982C2311yescharacteristic
357#13093981C2311yescharacteristic
358#13093980—21no—
359#13093980—21no—
360#13093980—21no—
361#13093980—21no—
362C2×C4⋊Dic47—21no—
363C2×C4⋊Dic47C2311yescharacteristic
364C2×Dic47⋊C4—21no—
365C2×Dic47⋊C4—21no—
366C2×Dic47⋊C4—21no—
367C2×Dic47⋊C4—21no—
368C4⋊C4×D47C2311yescharacteristic
369C2×C22⋊Dic47—21no—
370C2×C22⋊Dic47—21no—
371C2×(C2×D47)⋊C4—21no—
372C2×(C2×D47)⋊C4—21no—
373C22⋊C4×D47—21no—
374C2×C4×Dic47—21no—
375C2×C4×Dic47—21no—
376C2×C4×Dic47C2311yescharacteristic
377#13093958C2311yescharacteristic
378#13093958C2311yescharacteristic
379#13093958C2311yescharacteristic
380#13093958C2311yescharacteristic
381#13093957C2311yescharacteristic
382#13093957C2311yescharacteristic
383#13093956C2311yescharacteristic
384#13093956C2311yescharacteristic
385#13093956C2311yescharacteristic
386#13093956C2311yescharacteristic
387#13093956C2311yescharacteristic
388#13093955C2311yescharacteristic
389#13093955C2311yescharacteristic
390#13093955C2311yescharacteristic
391#13093955C2311yescharacteristic
392C4⋊(C47⋊C8)C2311yescharacteristic
393Dic47⋊C8C2311yescharacteristic
394Dic47⋊C8C2311yescharacteristic
395Dic47⋊C8C2311yescharacteristic
396Dic47⋊C8C2311yescharacteristic
397#13093949C2311yescharacteristic
398#13093949C2311yescharacteristic
399#13093949C2311yescharacteristic
400#13093948C2311yescharacteristic
401#13093948C2311yescharacteristic
402#13093948C2311yescharacteristic
403#13093948C2311yescharacteristic
404#13093948C2311yescharacteristic
405#13093948C2311yescharacteristic
406#13093948C2311yescharacteristic
407#13093948C2311yescharacteristic
408#13093948C2311yescharacteristic
409#13093947C2311yescharacteristic
410#13093946C2311yescharacteristic
411#13093946C2311yescharacteristic
412#13093946C2311yescharacteristic
413#13093945C2311yescharacteristic
414#13093945C2311yescharacteristic
415#13093945C2311yescharacteristic
416#13093945C2311yescharacteristic
417#13093945C2311yescharacteristic
418#13093945C2311yescharacteristic
419#13093945C2311yescharacteristic
420#13093945C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093944C2311yescharacteristic
423C22⋊(C47⋊C8)C2311yescharacteristic
424C22⋊(C47⋊C8)C2311yescharacteristic
425(C2×D47)⋊C8C2311yescharacteristic
426(C2×D47)⋊C8C2311yescharacteristic
427#13093934C2311yescharacteristic
428#13093934C2311yescharacteristic
429#13093934C2311yescharacteristic
430C4×C47⋊C8C2311yescharacteristic
431C8×Dic47C2311yescharacteristic
432C8×Dic47C2311yescharacteristic
433C8×Dic47C2311yescharacteristic
434C8×Dic47C2311yescharacteristic
435C8×Dic47C2311yescharacteristic
436C2×#41×C47C2311yescharacteristic
437C2×#41×C47C2311yescharacteristic
438C2×#41×C47C2311yescharacteristic
439C22×D4×C47C2311yescharacteristic
440AGL(1,ℤ/8)×C47—24no—
441#135×C47—24no—
442C2×Q16×C47C2311yescharacteristic
443C2×Q16×C47C2311yescharacteristic
444C2×SD16×C47C2311yescharacteristic
445C2×SD16×C47C2311yescharacteristic
446C2×SD16×C47C2311yescharacteristic
447C2×SD16×C47C2311yescharacteristic
448C2×SD16×C47C2311yescharacteristic
449C2×D8×C47C2311yescharacteristic
450C2×D8×C47C2311yescharacteristic
451C2×M16×C47C2311yescharacteristic
452C22×C8×C47C2311yescharacteristic
453C4⋊Q8×C47C2311yescharacteristic
454#124×C47C2311yescharacteristic
455#123×C47—21no—
456#123×C47—21no—
457#123×C47—21no—
458C22⋊Q8×C47C2311yescharacteristic
459C22⋊Q8×C47C2311yescharacteristic
460C22⋊Q8×C47C2311yescharacteristic
461#121×C47—21no—
462#121×C47—21no—
463#121×C47C2311yescharacteristic
464#120×C47—21no—
465C4×D4×C47C2311yescharacteristic
466C4×D4×C47C2311yescharacteristic
467C4×D4×C47C2311yescharacteristic
468C2×C4⋊C4×C47—21no—
469C2×C22⋊C4×C47—21no—
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
481C24×C47—21no—
482C23×D47—21no—
483#41×C47—22no—
484#41×C47—22no—
485#41×C47—22no—
486#41×C47—41no—
487#41×C47—41no—
488#41×C47—41no—
489C2×Q8×C47C2411yescharacteristic
490C2×Q8×C47C2411yescharacteristic
491C2×Q8×C47C2411yescharacteristic
492C2×D4×C47—22no—
493C2×D4×C47—21no—
494C2×D4×C47—21no—
495C2×D4×C47—21no—
496C2×D4×C47—21no—
497C2×D4×C47—21no—
498C2×D4×C47—41no—
499C2×D4×C47C2×D411yescharacteristic
500C2×D4×C47C2411yescharacteristic
501C2×D4×C47C2411yescharacteristic
502C2×D4×C47C2411yescharacteristic
503C22×C4×C47—21no—
504C22×C4×C47—21no—
505C22×C4×C47—21no—
506C22×C4×C47—21no—
507C22×C4×C47—21no—
508C22×C4×C47C2411yescharacteristic
509C22×C4×C47C2411yescharacteristic
510C2×C22⋊D47—21no—
511C2×C22⋊D47—21no—
512C2×C22⋊D47—21no—
513C2×C22⋊D47—21no—
514C2×C22⋊D47—21no—
515C2×C22⋊D47—21no—
516C2×C22⋊D47—21no—
517C2×C22⋊D47—82no—
518C2×C22⋊D47C2×D411yescharacteristic
519C2×C22⋊D47C2×D411yescharacteristic
520C22×Dic47—21no—
521C22×Dic47—21no—
522C22×Dic47—21no—
523C22×Dic47—21no—
524C22×Dic47—21no—
525C22×Dic47—21no—
526C22×Dic47—21no—
527C22×Dic47—21no—
528C22×Dic47—21no—
529C22×Dic47—21no—
530C22×Dic47C2×D411yescharacteristic
531C22×Dic47C2×D411yescharacteristic
532#10625352—22no—
533#10625352—41no—
534#10625352—82no—
535D4×D47—22no—
536D4×D47—41no—
537C2×D188C2411yescharacteristic
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×Dic94—21no—
546C2×Dic94—82no—
547C2×Dic94C2×D411yescharacteristic
548C2×Dic94C2411yescharacteristic
549Q16×C47—22no—
550Q16×C47—41no—
551SD16×C47—22no—
552SD16×C47—22no—
553SD16×C47—22no—
554SD16×C47—22no—
555SD16×C47—41no—
556D8×C47—22no—
557D8×C47#4114yescomplemented
558M16×C47—22no—
559C2×C8×C47—22no—
560C2×C8×C47C2411yescharacteristic
561C2×C8×C47C2411yescharacteristic
562C2×C8×C47C2411yescharacteristic
563C2×C8×C47C2411yescharacteristic
564C4⋊C4×C47—21no—
565C4⋊C4×C47—21no—
566C4⋊C4×C47—21no—
567C4⋊C4×C47—21no—
568C4⋊C4×C47—21no—
569C4⋊C4×C47C2×D411yescharacteristic
570C4⋊C4×C47C2411yescharacteristic
571C4⋊C4×C47C2411yescharacteristic
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×C47—21no—
579C22⋊C4×C47—21no—
580C22⋊C4×C47C2×D411yescharacteristic
581C22⋊C4×C47C2×D411yescharacteristic
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⋊Dic47—21no—
594C22⋊Dic47—21no—
595C22⋊Dic47—21no—
596C22⋊Dic47—21no—
597C22⋊Dic47C2×D411yescharacteristic
598C22⋊Dic47C2×D411yescharacteristic
599C22⋊Dic47C2×D411yescharacteristic
600C22⋊Dic47C2×D411yescharacteristic
601#10625337—41no—
602#10625336—41no—
603#10625336—41no—
604#10625335—22no—
605#10625335—41no—
606#10625334—22no—
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)⋊C4C2×D411yescharacteristic
618(C2×D47)⋊C4C2×D411yescharacteristic
619(C2×D47)⋊C4C2×D411yescharacteristic
620(C2×D47)⋊C4C2×D411yescharacteristic
621C4⋊Dic47—21no—
622C4⋊Dic47—21no—
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
635C4⋊Dic47C2411yescharacteristic
636C4⋊Dic47C2411yescharacteristic
637C4⋊Dic47C2411yescharacteristic
638C4⋊Dic47C2411yescharacteristic
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⋊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×Dic47—21no—
674C4×Dic47—21no—
675C4×Dic47C2×D411yescharacteristic
676C4×Dic47C2×D411yescharacteristic
677C4×Dic47C2411yescharacteristic
678C4×Dic47C2411yescharacteristic
679C4×Dic47C2411yescharacteristic
680C2×C47⋊C8—41no—
681C2×C47⋊C8—41no—
682C2×C47⋊C8C2411yescharacteristic
683C2×C47⋊C8C2411yescharacteristic
684C2×C47⋊C8C2411yescharacteristic
685C2×C47⋊C8C2411yescharacteristic
686#10625325—22no—
687#10625324—22no—
688C8×D47—41no—
689C23×C47—21no—
690C23×C47—21no—
691C23×C47—21no—
692C23×C47—42no—
693C23×C47—81no—
694C23×C47—81no—
695C23×C47C22×D411yescharacteristic
696C23×C47C22×D411yescharacteristic
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—
706Q8×C47—21no—
707Q8×C47—21no—
708D4×C47—21no—
709D4×C47—21no—
710D4×C47—21no—
711D4×C47—21no—
712D4×C47—41no—
713D4×C47—42no—
714D4×C47—42no—
715D4×C47—42no—
716D4×C47—42no—
717D4×C47—81no—
718D4×C47C2×#4112yes—
719D4×C47C2×#4112yes—
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—21no—
728C2×C4×C47—21no—
729C2×C4×C47—42no—
730C2×C4×C47—42no—
731C2×C4×C47—42no—
732C2×C4×C47—81no—
733C2×C4×C47—81no—
734C2×C4×C47C22×D411yescharacteristic
735C2×C4×C47C22×D411yescharacteristic
736C2×C4×C47C22×D411yescharacteristic
737C2×C4×C47C22×D411yescharacteristic
738C2×C4×C47C2511yescharacteristic
739C22⋊D47—22no—
740C22⋊D47—41no—
741C22⋊D47—42no—
742C22⋊D47—42no—
743C22⋊D47—42no—
744C22⋊D47—81no—
745C22⋊D47—81no—
746C22⋊D47—81no—
747C22⋊D47—81no—
748C2×Dic47—22no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—21no—
753C2×Dic47—21no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—41no—
757C2×Dic47—42no—
758C2×Dic47—42no—
759C2×Dic47—42no—
760C2×Dic47—81no—
761C2×Dic47—81no—
762C2×Dic47—81no—
763C2×Dic47—81no—
764C2×Dic47—81no—
765C2×Dic47—81no—
766C2×Dic47—81no—
767C2×Dic47C22×D411yescharacteristic
768C2×Dic47C22×D411yescharacteristic
769C2×Dic47C22×D411yescharacteristic
770C2×Dic47C22×D411yescharacteristic
771C2×Dic47C22×D411yescharacteristic
772C2×Dic47C22×D411yescharacteristic
773C2×Dic47C22×D411yescharacteristic
774D188—21no—
775D188—21no—
776C4×D47—21no—
777C4×D47—21no—
778C4×D47—81no—
779C4×D47—81no—
780C4×D47—81no—
781Dic94—22no—
782Dic94—21no—
783Dic94—21no—
784Dic94—42no—
785Dic94—81no—
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—22no—
800C22×C47—22no—
801C22×C47—21no—
802C22×C47—21no—
803C22×C47—21no—
804C22×C47—21no—
805C22×C47—41no—
806C22×C47—41no—
807C22×C47—41no—
808C22×C47—41no—
809C22×C47—41no—
810C22×C47—41no—
811C22×C47—41no—
812C22×C47—162no—
813C22×C47C23×D411yescharacteristic
814C2×D47—21no—
815C2×D47—21no—
816C2×D47—21no—
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×C47C22×#4111yescharacteristic
831C4×C47#58511yescharacteristic
832Dic47—21no—
833Dic47—21no—
834Dic47—21no—
835Dic47—21no—
836Dic47—21no—
837Dic47—21no—
838Dic47—41no—
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#3296—471no—
860#3295—471no—
861#3272—471no—
862#3267—471no—
863#3267D4711yescharacteristic, complemented
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—42no—
881C2×C47—81no—
882C2×C47D4×#4111yescharacteristic
883C2×C47C2×#57711yescharacteristic
884C2×C47#358411yescharacteristic
885D47—41no—
886D47—81no—
887C2×AGL(1,ℤ/8)—471no—
888C2×AGL(1,ℤ/8)C2×D4711yescharacteristic
889C2×#135C2×D4711yescharacteristic
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—471no—
900#552—941no—
901#552—941no—
902#552—941no—
903#551—941no—
904#551—941no—
905D4×Q8—471no—
906#548—941no—
907#547—471no—
908#547—471no—
909#547C2×D4711yescharacteristic, complemented
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#497C2×D4711yescharacteristic, complemented
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#485—471no—
952#485—471no—
953#483—471no—
954#483—471no—
955#482—471no—
956#482—471no—
957#481—471no—
958#481—471no—
959#478—471no—
960#478—471no—
961#478—471no—
962#478—471no—
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#470C2×D4711yescharacteristic, complemented
973#468—471no—
974#468—471no—
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#463C2×D4711yescharacteristic, complemented
987#462—471no—
988#461—471no—
989#461—471no—
990#461—471no—
991#461—471no—
992#461C2×D4711yescharacteristic
993#460—471no—
994#459—471no—
995#452—471no—
996#452—471no—
997#452C2×D4711yescharacteristic
998#452C2×D4711yescharacteristic, complemented
999#450—471no—
1000#450—471no—
1001#450—471no—
1002#450C2×D4711yescharacteristic
1003#449—471no—
1004#449—471no—
1005#449—471no—
1006#449C2×D4711yescharacteristic, complemented
1007#446—471no—
1008C8×Q8—471no—
1009#442—471no—
1010#442—471no—
1011#442—471no—
1012#442C2×D4711yescharacteristic
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×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#428—471no—
1048#427—471no—
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—941no—
1061C2×#41C22×D4711yescharacteristic
1062C2×#41C22×D4711yescharacteristic
1063C2×#41C22×D4711yescharacteristic
1064C22×Q8—941no—
1065C22×D4—471no—
1066C22×D4—941no—
1067C22×D4C22×D4711yescharacteristic
1068AGL(1,ℤ/8)—24no—
1069AGL(1,ℤ/8)—944no—
1070#135—24no—
1071C2×Q16—471no—
1072C2×Q16C22×D4711yescharacteristic
1073C2×Q16C22×D4711yescharacteristic
1074C2×SD16—471no—
1075C2×SD16—471no—
1076C2×SD16—471no—
1077C2×SD16—471no—
1078C2×SD16—471no—
1079C2×SD16C22×D4711yescharacteristic
1080C2×SD16C22×D4711yescharacteristic
1081C2×SD16C22×D4711yescharacteristic
1082C2×SD16C22×D4711yescharacteristic
1083C2×SD16C22×D4711yescharacteristic
1084C2×D8—471no—
1085C2×D8C22×D4711yescharacteristic
1086C2×D8C22×D4711yescharacteristic
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—471no—
1102#126—471no—
1103#126—941no—
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—471no—
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#125—941no—
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—21no—
1142#123—471no—
1143#123—471no—
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—21no—
1177#121—471no—
1178#121—471no—
1179#121—471no—
1180#121—471no—
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—471no—
1202C4×Q8—941no—
1203C4×Q8—941no—
1204C4×Q8—941no—
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—941no—
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×D4C22×D4711yescharacteristic
1233C4×D4C22×D4711yescharacteristic
1234C4×D4C22×D4711yescharacteristic
1235#117—471no—
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#117—941no—
1250C2×C4⋊C4—21no—
1251C2×C4⋊C4—471no—
1252C2×C4⋊C4—471no—
1253C2×C4⋊C4—941no—
1254C2×C4⋊C4—941no—
1255C2×C4⋊C4—941no—
1256C2×C4⋊C4—941no—
1257C2×C4⋊C4—941no—
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#107—471no—
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#106—471no—
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—21no—
1338C24—941no—
1339#41—22no—
1340#41—22no—
1341#41—22no—
1342#41—41no—
1343#41—41no—
1344#41—41no—
1345#41—942no—
1346#41—3762no—
1347#41—1881no—
1348C2×Q8—471no—
1349C2×Q8—471no—
1350C2×Q8—941no—
1351C2×Q8—941no—
1352C2×Q8—941no—
1353C2×Q8—941no—
1354C2×Q8—3762no—
1355C2×Q8C23×D4711yescharacteristic
1356C2×Q8C23×D4711yescharacteristic
1357C2×Q8C23×D4711yescharacteristic
1358C2×D4—22no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—41no—
1365C2×D4—471no—
1366C2×D4—471no—
1367C2×D4—471no—
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—3762no—
1377C2×D4—1881no—
1378C2×D4D4×D4711yescharacteristic
1379C2×D4C23×D4711yescharacteristic
1380C2×D4C23×D4711yescharacteristic
1381C2×D4C23×D4711yescharacteristic
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—471no—
1388C22×C4—471no—
1389C22×C4—471no—
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—22no—
1406Q16—41no—
1407Q16—1881no—
1408SD16—22no—
1409SD16—22no—
1410SD16—22no—
1411SD16—22no—
1412SD16—41no—
1413SD16—942no—
1414SD16—942no—
1415SD16—1881no—
1416SD16—1881no—
1417SD16—1881no—
1418D8—22no—
1419D8—942no—
1420D8#1062535214yescomplemented
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—471no—
1441C4⋊C4—471no—
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⋊C4—941no—
1481C4⋊C4—941no—
1482C4⋊C4D4×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—471no—
1528C42—471no—
1529C42—471no—
1530C42—471no—
1531C42—471no—
1532C42—941no—
1533C42—941no—
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—21no—
1548C23—42no—
1549C23—81no—
1550C23—81no—
1551C23—471no—
1552C23—941no—
1553C23—3761no—
1554C23—3761no—
1555C23—1882no—
1556C23C2×D4×D4711yescharacteristic
1557C23C2×D4×D4711yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—942no—
1565Q8—941no—
1566Q8—941no—
1567Q8—3761no—
1568Q8—3761no—
1569Q8—3761no—
1570Q8—1882no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—42no—
1577D4—42no—
1578D4—42no—
1579D4—42no—
1580D4—81no—
1581D4—942no—
1582D4—941no—
1583D4—941no—
1584D4—3761no—
1585D4—3761no—
1586D4—3761no—
1587D4—3761no—
1588D4—1882no—
1589D4—1881no—
1590D4—1882no—
1591D4—1882no—
1592D4C2×#1062535212yes—
1593D4C2×#1062535212yes—
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—42no—
1604C2×C4—42no—
1605C2×C4—42no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—471no—
1609C2×C4—471no—
1610C2×C4—471no—
1611C2×C4—471no—
1612C2×C4—471no—
1613C2×C4—471no—
1614C2×C4—471no—
1615C2×C4—942no—
1616C2×C4—941no—
1617C2×C4—941no—
1618C2×C4—941no—
1619C2×C4—941no—
1620C2×C4—941no—
1621C2×C4—941no—
1622C2×C4—941no—
1623C2×C4—941no—
1624C2×C4—941no—
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—3761no—
1634C2×C4—3761no—
1635C2×C4—1882no—
1636C2×C4—1882no—
1637C2×C4—1881no—
1638C2×C4—1882no—
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—
1651C8C2×#1062535212yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—22no—
1657C22—22no—
1658C22—21no—
1659C22—21no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—162no—
1668C22—941no—
1669C22—941no—
1670C22—941no—
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—472no—
1686C4—941no—
1687C4—941no—
1688C4—941no—
1689C4—941no—
1690C4—941no—
1691C4—941no—
1692C4—1881no—
1693C4—1881no—
1694C4—1881no—
1695C4—1881no—
1696C4—1881no—
1697C4—1881no—
1698C4—1881no—
1699C4C22×#1062535211yescharacteristic
1700C4#1568995811yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—42no—
1704C2—42no—
1705C2—81no—
1706C2—3761no—
1707C2—1881no—
1708C2D4×#1062535211yescharacteristic
1709C2#577×D4711yescharacteristic
1710C2#2025816111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3267C2
socleC22×C47C23×D4
hypercenter#3267D47
hypocenterC47#61493
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. #20257353C2semidirect
2. #20257336C2semidirect
3. #20256438C2semidirect
4. #20256288C2semidirect
5. #20256043C2semidirect
6. #20256025C2semidirect
7. #20255998C2semidirect
8. #20255909C2semidirect
9. #20255905C2semidirect
10. #20255316C2semidirect
11. #20255309C2semidirect
12. #20255298C2semidirect
13. #20255223C2semidirect
14. #20255216C2semidirect
15. #20255205C2semidirect
16. #20254982C2semidirect
17. #20254913C2semidirect
18. #20254057C2semidirect
19. #20254053C2semidirect
20. #20253942C2semidirect
21. #20253662C2semidirect
22. #20253658C2semidirect
23. #20253638C2semidirect
24. #20253634C2semidirect
25. #20253543C2semidirect
26. #20253532C2semidirect
27. #20252358C2semidirect
28. #20252221C2semidirect
29. #20252217C2semidirect
30. #135×Dic47C2semidirect
31. C47×#3267C2semidirect
34. #15689848C22semidirect
38. #15689832C22semidirect
41. #15689813C22semidirect
45. #15689807C22semidirect
51. #15689772C22semidirect
57. #15689734C22semidirect
58. #15689733C22semidirect
63. #15689675C22semidirect
70. #15689606C22semidirect
71. #15689602C22semidirect
75. #41×Dic47C22semidirect
76. #15689532C22semidirect
77. #15689530C22semidirect
78. #15689520C22semidirect
79. #15689516C22semidirect
81. #15689479C22semidirect
82. #15689477C22semidirect
83. #15689473C22semidirect
84. #15689472C22semidirect
85. #15689472C22semidirect
87. #15689465C22semidirect
88. #15689465C22semidirect
89. #15689463C22semidirect
90. #15689462C22semidirect
91. #15689461C22semidirect
92. #15689461C22semidirect
93. #15689452C22semidirect
94. #15689451C22semidirect
95. #15689448C22semidirect
96. #15689444C22semidirect
99. #15689425C22semidirect
100. #15689424C22semidirect
103. #15689416C22semidirect
104. #15689413C22semidirect
106. #15689411C22semidirect
107. #15689409C22semidirect
108. #15689406C22semidirect
109. #15689406C22semidirect
110. #15689401C22semidirect
111. #15689378C22semidirect
114. #15689362C22semidirect
115. #15689361C22semidirect
117. #15689354C22semidirect
118. #15689352C22semidirect
119. #15689350C22semidirect
121. #15689347C22semidirect
122. #15689342C22semidirect
123. #15689340C22semidirect
124. #15689331C22semidirect
127. #15689326C22semidirect
128. #15689325C22semidirect
132. #15689282C22semidirect
137. #15689268C22semidirect
139. #15689251C22semidirect
140. #15689247C22semidirect
142. #15689235C22semidirect
143. #15689232C22semidirect
144. #15689230C22semidirect
145. #15689227C22semidirect
146. #15689226C22semidirect
147. #15689225C22semidirect
149. #15689224C22semidirect
150. #15689224C22semidirect
152. Q16×Dic47C22semidirect
153. Q16×Dic47C22semidirect
154. #15689214C22semidirect
158. SD16×Dic47C22semidirect
159. SD16×Dic47C22semidirect
160. SD16×Dic47C22semidirect
161. #15689210C22semidirect
163. #15689208C22semidirect
166. D8×Dic47C22semidirect
167. C4×#10625334C22semidirect
169. #15689194C22semidirect
170. D4×C47⋊C8C22semidirect
172. (C22⋊D47)⋊C8C22semidirect
173. #15689183C22semidirect
174. #15689181C22semidirect
175. #15689177C22semidirect
176. #15689165C22semidirect
177. #15689162C22semidirect
178. #15689161C22semidirect
180. #15689119C22semidirect
181. #15689119C22semidirect
182. #15689116C22semidirect
185. #15689081C22semidirect
186. #15689080C22semidirect
187. C2×C8×Dic47C22semidirect
190. C47×#547C22semidirect
192. C47×#497C22semidirect
193. C47×#470C22semidirect
194. C47×#465C22semidirect
195. C47×#463C22semidirect
198. C47×#452C22semidirect
200. C47×#449C22semidirect
202. C47×#435C22semidirect
557. D8×C47#41semidirect
863. #3267D47semidirect
909. #547C2×D47semidirect
939. #497C2×D47semidirect
972. #470C2×D47semidirect
982. #465C2×D47semidirect
986. #463C2×D47semidirect
998. #452C2×D47semidirect
1006. #449C2×D47semidirect
1039. #435C2×D47semidirect
1058. C47#61493semidirect
1420. D8#10625352semidirect

Maximal subgroups

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

subgroupindex
#202573532
#202573362
#202564382
#202562882
#202560432
#202560252
#202559982
#202559092
#202559052
#202553162
#202553092
#202552982
#202552232
#202552162
#202552052
#202549822
#202549132
#202540572
#202540532
#202539422
#202536622
#202536582
#202536382
#202536342
#202535432
#202535322
#202523582
#202522212
#202522172
#135×Dic472
C47×#32672
#6149347