Finite Group Databasebeta

← #27091141

Subgroups — #27091141

Order 12032.

1792 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257280C211yesmaximal, characteristic, complemented
2#20257259C211yesmaximal, characteristic, complemented
3#20254806C211yesmaximal, characteristic, complemented
4#20254804C211yesmaximal, characteristic, complemented
5#20254798C211yesmaximal, characteristic, complemented
6#20254796C211yesmaximal, characteristic, complemented
7#20254632C211yesmaximal, characteristic, complemented
8#20254626C211yesmaximal, characteristic, complemented
9#20254585C211yesmaximal, characteristic, complemented
10#20254584C211yesmaximal, characteristic, complemented
11#20254409C211yesmaximal, characteristic, complemented
12#20254404C211yesmaximal, characteristic, complemented
13#20254373C211yesmaximal, characteristic, complemented
14#20254373C211yesmaximal, characteristic, complemented
15#20254259C211yesmaximal, characteristic, complemented
16#20254257C211yesmaximal, characteristic, complemented
17#20254252C211yesmaximal, characteristic, complemented
18#20254251C211yesmaximal, characteristic, complemented
19#20254084C211yesmaximal, characteristic, complemented
20#20254082C211yesmaximal, characteristic, complemented
21#20253981C211yesmaximal, characteristic, complemented
22#20253979C211yesmaximal, characteristic, complemented
23#20253678C211yesmaximal, characteristic, complemented
24#20253676C211yesmaximal, characteristic, complemented
25#20253630C211yesmaximal, characteristic, complemented
26#20253628C211yesmaximal, characteristic, complemented
27#20253574C211yesmaximal, characteristic, complemented
28#20253572C211yesmaximal, characteristic, complemented
29#20253566C211yesmaximal, characteristic, complemented
30#20252036C211yesmaximal, characteristic, complemented
31C47×#3118C211yesmaximal, characteristic, complemented
32#15689857—21no—
33#15689856—21no—
34#15689856—21no—
35#15689855—21no—
36#15689844—21no—
37#15689840—21no—
38#15689803—21no—
39#15689800—21no—
40#15689798—21no—
41#15689796—21no—
42#15689794—21no—
43#15689794—21no—
44#15689763—21no—
45#15689763—21no—
46#15689763—21no—
47#15689763—21no—
48#15689747C2211yescharacteristic, complemented
49#15689744C2211yescharacteristic
50#15689742C2211yescharacteristic, complemented
51#15689724C2211yescharacteristic
52#15689724C2211yescharacteristic
53#15689724C2211yescharacteristic, complemented
54#15689724C2211yescharacteristic, complemented
55#15689696C2211yescharacteristic
56#15689692C2211yescharacteristic
57#15689690C2211yescharacteristic
58#15689689C2211yescharacteristic
59#15689678C2211yescharacteristic, complemented
60#15689676C2211yescharacteristic, complemented
61#15689670C2211yescharacteristic
62#15689670C2211yescharacteristic
63#15689670C2211yescharacteristic, complemented
64#15689670C2211yescharacteristic, complemented
65C2×#13094020C2211yescharacteristic, complemented
66#15689660C2211yescharacteristic, complemented
67#15689659C2211yescharacteristic
68#15689655C2211yescharacteristic, complemented
69#15689654C2211yescharacteristic
70#124×D47C2211yescharacteristic, complemented
71#15689599C2211yescharacteristic, complemented
72#15689597C2211yescharacteristic, complemented
73#15689595C2211yescharacteristic, complemented
74#15689591C2211yescharacteristic
75#15689531C2211yescharacteristic, complemented
76#15689531C2211yescharacteristic, complemented
77#15689530C2211yescharacteristic, complemented
78#15689530C2211yescharacteristic, complemented
79#15689511C2211yescharacteristic
80#15689511C2211yescharacteristic
81#15689509C2211yescharacteristic
82#15689509C2211yescharacteristic
83#15689486C2211yescharacteristic, complemented
84#15689486C2211yescharacteristic, complemented
85#15689486C2211yescharacteristic, complemented
86#15689486C2211yescharacteristic, complemented
87#15689484C2211yescharacteristic, complemented
88#15689484C2211yescharacteristic, complemented
89#15689481C2211yescharacteristic, complemented
90#15689481C2211yescharacteristic, complemented
91#15689465C2211yescharacteristic, complemented
92#15689464C2211yescharacteristic, complemented
93#15689461C2211yescharacteristic, complemented
94#15689450C2211yescharacteristic, complemented
95#15689450C2211yescharacteristic, complemented
96#15689449C2211yescharacteristic, complemented
97#15689449C2211yescharacteristic, complemented
98#15689448C2211yescharacteristic
99#15689447C2211yescharacteristic
100#15689446C2211yescharacteristic, complemented
101#15689446C2211yescharacteristic, complemented
102#15689445C2211yescharacteristic, complemented
103#15689445C2211yescharacteristic, complemented
104#15689444C2211yescharacteristic
105#15689433C2211yescharacteristic, complemented
106#15689432C2211yescharacteristic, complemented
107#15689429C2211yescharacteristic, complemented
108#15689428C2211yescharacteristic, complemented
109#15689426C2211yescharacteristic, complemented
110#15689425C2211yescharacteristic, complemented
111#15689422C2211yescharacteristic, complemented
112#15689421C2211yescharacteristic, complemented
113#15689414C2211yescharacteristic, complemented
114#15689413C2211yescharacteristic, complemented
115#15689410C2211yescharacteristic, complemented
116#15689404C2211yescharacteristic, complemented
117#15689403C2211yescharacteristic, complemented
118#15689400C2211yescharacteristic, complemented
119#15689377C2211yescharacteristic, complemented
120#15689375C2211yescharacteristic, complemented
121#15689375C2211yescharacteristic, complemented
122#15689373C2211yescharacteristic, complemented
123#15689372C2211yescharacteristic, complemented
124#15689370C2211yescharacteristic, complemented
125#15689368C2211yescharacteristic, complemented
126#15689366C2211yescharacteristic, complemented
127#15689360C2211yescharacteristic, complemented
128#15689358C2211yescharacteristic, complemented
129#15689358C2211yescharacteristic, complemented
130#15689356C2211yescharacteristic, complemented
131#15689355C2211yescharacteristic, complemented
132#15689353C2211yescharacteristic, complemented
133#15689351C2211yescharacteristic, complemented
134#15689349C2211yescharacteristic, complemented
135#15689339C2211yescharacteristic, complemented
136#15689339C2211yescharacteristic, complemented
137#15689338C2211yescharacteristic, complemented
138#15689338C2211yescharacteristic, complemented
139#15689335C2211yescharacteristic, complemented
140#15689335C2211yescharacteristic, complemented
141#15689322C2211yescharacteristic, complemented
142#15689322C2211yescharacteristic, complemented
143#15689321C2211yescharacteristic, complemented
144#15689321C2211yescharacteristic, complemented
145#15689317C2211yescharacteristic
146#15689317C2211yescharacteristic
147#15689316C2211yescharacteristic
148#15689316C2211yescharacteristic
149#15689276C2211yescharacteristic, complemented
150#15689274C2211yescharacteristic, complemented
151#15689273C2211yescharacteristic, complemented
152#15689263C2211yescharacteristic, complemented
153#15689263C2211yescharacteristic, complemented
154#15689260C2211yescharacteristic, complemented
155#15689260C2211yescharacteristic, complemented
156#15689259C2211yescharacteristic
157#15689258C2211yescharacteristic, complemented
158#15689258C2211yescharacteristic, complemented
159#15689257C2211yescharacteristic
160#15689256C2211yescharacteristic
161#15689255C2211yescharacteristic, complemented
162#15689255C2211yescharacteristic, complemented
163#15689236C2211yescharacteristic, complemented
164#15689233C2211yescharacteristic, complemented
165#15689233C2211yescharacteristic, complemented
166#15689225C2211yescharacteristic, complemented
167#15689223C2211yescharacteristic, complemented
168#15689221C2211yescharacteristic, complemented
169C4×#10625325C2211yescharacteristic, complemented
170C4×#10625336C2211yescharacteristic, complemented
171C4×#10625335C2211yescharacteristic, complemented
172C4×D376C2211yescharacteristic, complemented
173C4×#10625334C2211yescharacteristic, complemented
174C4×#10625334C2211yescharacteristic, complemented
175#15689185C2211yescharacteristic, complemented
176#15689184C2211yescharacteristic, complemented
177#15689182C2211yescharacteristic, complemented
178#15689179C2211yescharacteristic, complemented
179#15689179C2211yescharacteristic, complemented
180#15689177C2211yescharacteristic, complemented
181#15689177C2211yescharacteristic, complemented
182#15689148C2211yescharacteristic, complemented
183#15689148C2211yescharacteristic, complemented
184#15689088C2211yescharacteristic
185#15689088C2211yescharacteristic
186C4×#10625324C2211yescharacteristic, complemented
187#97×D47C2211yescharacteristic, complemented
188C47×#542C2211yescharacteristic
189C47×#518C2211yescharacteristic, complemented
190C47×#485C2211yescharacteristic, complemented
191C47×#482C2211yescharacteristic
192C47×#476C2211yescharacteristic, complemented
193C47×#474C2211yescharacteristic, complemented
194C47×#463C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#450C2211yescharacteristic, complemented
197C47×#447C2211yescharacteristic
198C47×#442C2211yescharacteristic, complemented
199C47×#440C2211yescharacteristic, complemented
200C4×SD16×C47C2211yescharacteristic, complemented
201C4×D8×C47C2211yescharacteristic, complemented
202C47×#433C2211yescharacteristic, complemented
203C2×#10625350—21no—
204C2×#10625350—21no—
205C2×#10625350—21no—
206C2×#10625350—21no—
207C2×#10625350C2311yescharacteristic
208C2×Q8×D47C2311yescharacteristic
209C22×D188C2311yescharacteristic
210C22×C22⋊D47—21no—
211C22×C22⋊D47—21no—
212C2×D4×D47C2311yescharacteristic
213C2×#10625325C2311yescharacteristic
214C2×#10625325C2311yescharacteristic
215C2×#10625335C2311yescharacteristic
216C2×#10625335C2311yescharacteristic
217C2×#10625336C2311yescharacteristic
218C2×#10625336C2311yescharacteristic
219C2×D376C2311yescharacteristic
220C2×D376C2311yescharacteristic
221C2×#10625334C2311yescharacteristic
222C2×#10625334C2311yescharacteristic
223C2×#10625334C2311yescharacteristic
224C2×#10625334C2311yescharacteristic
225C2×#10625324C2311yescharacteristic
226C2×#10625324C2311yescharacteristic
227C2×C8×D47C2311yescharacteristic
228C2×C8×D47C2311yescharacteristic
229#13094024C2311yescharacteristic
230#13094023—21no—
231#13094023C2311yescharacteristic
232#13094023C2311yescharacteristic
233#13094021—21no—
234#13094020—21no—
235#13094020—21no—
236#13094020—21no—
237#13094020—21no—
238#13094020C2311yescharacteristic
239#13094020C2311yescharacteristic
240#13094020C2311yescharacteristic
241#13094020C2311yescharacteristic
242#13094019—21no—
243#13094019—21no—
244#13094019—21no—
245#13094019—21no—
246#13094017—21no—
247#13094017—21no—
248#13094017—21no—
249#13094015C2311yescharacteristic
250#13094015C2311yescharacteristic
251#13094015C2311yescharacteristic
252#13094015C2311yescharacteristic
253#13094013—21no—
254#13094013C2311yescharacteristic
255#13094012—21no—
256#13094012C2311yescharacteristic
257#13094011—21no—
258#13094011C2311yescharacteristic
259#13094010—21no—
260#13094010—21no—
261#13094010—21no—
262#13094010—21no—
263#13094010—21no—
264#13094010—21no—
265#13094010—21no—
266#13094010—21no—
267#13094010—21no—
268#13094010—21no—
269#13094009—21no—
270#13094009—21no—
271#13094009—21no—
272#13094008—21no—
273#13094008—21no—
274#13094007—21no—
275#13094007—21no—
276#13094007—21no—
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#13094005—21no—
286#13094004—21no—
287#13094004C2311yescharacteristic
288#13094003C2311yescharacteristic
289#13094002—21no—
290#13094001—21no—
291#13094001—21no—
292#13094001—21no—
293#13094000—21no—
294#13094000—21no—
295#13094000C2311yescharacteristic
296#13093999C2311yescharacteristic
297#13093999C2311yescharacteristic
298#13093999C2311yescharacteristic
299#13093999C2311yescharacteristic
300#13093999C2311yescharacteristic
301#13093998—21no—
302#13093998—21no—
303#13093998—21no—
304#13093998—21no—
305#13093998C2311yescharacteristic
306#13093997—21no—
307#13093997—21no—
308#13093997—21no—
309#13093997—21no—
310#13093997—21no—
311#13093997—21no—
312#13093997—21no—
313#13093997—21no—
314#13093995C2311yescharacteristic
315#13093995C2311yescharacteristic
316#13093995C2311yescharacteristic
317#13093995C2311yescharacteristic
318#13093995C2311yescharacteristic
319#13093994—21no—
320#13093994—21no—
321#13093994—21no—
322#13093993—21no—
323#13093993—21no—
324#13093992—21no—
325Q8×Dic47—21no—
326Q8×Dic47C2311yescharacteristic
327C4×Dic94—21no—
328C4×Dic94—21no—
329C4×Dic94—21no—
330C4×Dic94C2311yescharacteristic
331#13093989—21no—
332#13093989—21no—
333#13093989D411yescharacteristic
334#13093989D411yescharacteristic
335#13093989C2311yescharacteristic
336C4×D188—21no—
337C4×D188C2311yescharacteristic
338C4×D188C2311yescharacteristic
339C4×D188C2311yescharacteristic
340C4×D188C2311yescharacteristic
341C4×D188C2311yescharacteristic
342D4×Dic47—21no—
343D4×Dic47C2311yescharacteristic
344#13093986—21no—
345#13093986—21no—
346#13093986D411yescharacteristic
347#13093986D411yescharacteristic
348#13093986C2311yescharacteristic
349C4×C22⋊D47—21no—
350C4×C22⋊D47—21no—
351C4×C22⋊D47—21no—
352C4×C22⋊D47—21no—
353C4×C22⋊D47—21no—
354C4×C22⋊D47—21no—
355(C22⋊D47)⋊C4—21no—
356(C22⋊D47)⋊C4—21no—
357(C22⋊D47)⋊C4D411yescharacteristic
358(C22⋊D47)⋊C4D411yescharacteristic
359(C22⋊D47)⋊C4D411yescharacteristic
360(C22⋊D47)⋊C4D411yescharacteristic
361#13093983—21no—
362#13093983C2311yescharacteristic
363#13093982—21no—
364#13093982—21no—
365#13093982C2311yescharacteristic
366#13093982C2311yescharacteristic
367#13093981—21no—
368#13093981—21no—
369#13093981C2311yescharacteristic
370#13093981C2311yescharacteristic
371#13093980—21no—
372C2×(C2×D47)⋊C4—21no—
373C22⋊C4×D47—21no—
374C22⋊C4×D47—21no—
375C22⋊C4×D47—21no—
376C22⋊C4×D47—21no—
377C22⋊C4×D47—21no—
378C2×C4×Dic47C2311yescharacteristic
379C42×D47C2311yescharacteristic
380C42×D47C2311yescharacteristic
381#13093958C2311yescharacteristic
382#13093958C2311yescharacteristic
383#13093957C2311yescharacteristic
384#13093957C2311yescharacteristic
385#13093957C2311yescharacteristic
386#13093957C2311yescharacteristic
387#13093956C2311yescharacteristic
388#13093956C2311yescharacteristic
389#13093955C2311yescharacteristic
390#13093955C2311yescharacteristic
391#13093955C2311yescharacteristic
392#13093955C2311yescharacteristic
393C4⋊(C47⋊C8)C2311yescharacteristic
394C4⋊(C47⋊C8)C2311yescharacteristic
395Dic47⋊C8C2311yescharacteristic
396Dic47⋊C8C2311yescharacteristic
397Dic47⋊C8C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399#13093949C2311yescharacteristic
400#13093949C2311yescharacteristic
401#13093948C2311yescharacteristic
402#13093948C2311yescharacteristic
403#13093947C2311yescharacteristic
404#13093947C2311yescharacteristic
405#13093946C2311yescharacteristic
406#13093946C2311yescharacteristic
407#13093946C2311yescharacteristic
408#13093946C2311yescharacteristic
409#13093946C2311yescharacteristic
410#13093946C2311yescharacteristic
411#13093945C2311yescharacteristic
412#13093945C2311yescharacteristic
413#13093945C2311yescharacteristic
414#13093945C2311yescharacteristic
415#13093945C2311yescharacteristic
416#13093945C2311yescharacteristic
417#13093944C2311yescharacteristic
418#13093944C2311yescharacteristic
419#13093944C2311yescharacteristic
420#13093944C2311yescharacteristic
421#13093944C2311yescharacteristic
422#13093944C2311yescharacteristic
423C22⋊(C47⋊C8)C2311yescharacteristic
424C22⋊(C47⋊C8)C2311yescharacteristic
425(C2×D47)⋊C8C2311yescharacteristic
426(C2×D47)⋊C8C2311yescharacteristic
427(C2×D47)⋊C8C2311yescharacteristic
428(C2×D47)⋊C8C2311yescharacteristic
429#13093935C2311yescharacteristic
430#13093934C2311yescharacteristic
431#13093934C2311yescharacteristic
432#13093934C2311yescharacteristic
433#13093934C2311yescharacteristic
434C4×C47⋊C8C2311yescharacteristic
435C22×D4×C47C2311yescharacteristic
436C2×SD16×C47C2311yescharacteristic
437C2×SD16×C47C2311yescharacteristic
438C2×D8×C47C2311yescharacteristic
439C2×D8×C47C2311yescharacteristic
440C4⋊Q8×C47C2311yescharacteristic
441#126×C47—21no—
442#124×C47—21no—
443#124×C47C2311yescharacteristic
444#123×C47—21no—
445C22⋊Q8×C47—21no—
446C22⋊Q8×C47C2311yescharacteristic
447#121×C47C2311yescharacteristic
448C4×Q8×C47C2311yescharacteristic
449C4×D4×C47—21no—
450C4×D4×C47—21no—
451C4×D4×C47C2311yescharacteristic
452C4×D4×C47C2311yescharacteristic
453C4×D4×C47C2311yescharacteristic
454C4×D4×C47C2311yescharacteristic
455C4×D4×C47C2311yescharacteristic
456#117×C47C2311yescharacteristic
457#117×C47C2311yescharacteristic
458C2×C22⋊C4×C47—21no—
459C2×C22⋊C4×C47—21no—
460#107×C47C2311yescharacteristic
461#107×C47C2311yescharacteristic
462#106×C47C2311yescharacteristic
463#106×C47C2311yescharacteristic
464C4⋊C8×C47C2311yescharacteristic
465C4⋊C8×C47C2311yescharacteristic
466#103×C47C2311yescharacteristic
467#103×C47C2311yescharacteristic
468#102×C47C2311yescharacteristic
469#102×C47C2311yescharacteristic
470#102×C47C2311yescharacteristic
471#102×C47C2311yescharacteristic
472#102×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474C22⋊C8×C47C2311yescharacteristic
475C22⋊C8×C47C2311yescharacteristic
476#97×C47C2311yescharacteristic
477C4×C8×C47C2311yescharacteristic
478C24×C47—21no—
479C23×D47—21no—
480C23×D47—21no—
481C2×Q8×C47—21no—
482C2×Q8×C47C2411yescharacteristic
483C2×D4×C47—21no—
484C2×D4×C47—21no—
485C2×D4×C47—41no—
486C2×D4×C47—41no—
487C2×D4×C47C2411yescharacteristic
488C2×D4×C47C2411yescharacteristic
489C2×D4×C47C2411yescharacteristic
490C22×C4×C47—21no—
491C22×C4×C47—21no—
492C22×C4×C47—21no—
493C22×C4×C47—21no—
494C22×C4×C47—21no—
495C22×C4×C47C2411yescharacteristic
496C2×C22⋊D47—21no—
497C2×C22⋊D47—21no—
498C2×C22⋊D47—21no—
499C2×C22⋊D47—21no—
500C2×C22⋊D47—21no—
501C2×C22⋊D47—21no—
502C2×C22⋊D47—21no—
503C2×C22⋊D47—21no—
504C2×C22⋊D47—21no—
505C2×C22⋊D47—21no—
506C2×C22⋊D47—21no—
507C2×C22⋊D47—21no—
508C2×C22⋊D47—21no—
509C2×C22⋊D47—21no—
510C2×C22⋊D47—21no—
511C2×C22⋊D47—82no—
512C2×C22⋊D47—82no—
513C2×C22⋊D47C2×D411yescharacteristic
514C2×C22⋊D47C2×D411yescharacteristic
515C22×Dic47—21no—
516C22×Dic47C2×D411yescharacteristic
517C22×Dic47C2×D411yescharacteristic
518Q8×D47—41no—
519Q8×D47—41no—
520D4×D47—41no—
521D4×D47—41no—
522#10625350—41no—
523#10625350—41no—
524#10625350—82no—
525#10625350—82no—
526#10625350—82no—
527#10625350—82no—
528C2×D188—21no—
529C2×D188—21no—
530C2×D188—21no—
531C2×D188—21no—
532C2×D188—21no—
533C2×D188—21no—
534C2×D188—41no—
535C2×D188—41no—
536C2×D188C2×D411yescharacteristic
537C2×D188C2411yescharacteristic
538C2×D188C2411yescharacteristic
539C2×D188C2411yescharacteristic
540C2×C4×D47—21no—
541C2×C4×D47—21no—
542C2×C4×D47—21no—
543C2×C4×D47—21no—
544C2×C4×D47—21no—
545C2×C4×D47—21no—
546C2×C4×D47—21no—
547C2×C4×D47C2×D411yescharacteristic
548C2×C4×D47C2×D411yescharacteristic
549C2×C4×D47C2×D411yescharacteristic
550C2×C4×D47C2×D411yescharacteristic
551C2×C4×D47C2411yescharacteristic
552C2×C4×D47C2411yescharacteristic
553C2×Dic94—21no—
554C2×Dic94—21no—
555C2×Dic94—21no—
556C2×Dic94—21no—
557C2×Dic94C2×D411yescharacteristic
558C2×Dic94C2411yescharacteristic
559SD16×C47—41no—
560SD16×C47—41no—
561D8×C47—41no—
562D8×C47—41no—
563C2×C8×C47C2411yescharacteristic
564C2×C8×C47C2411yescharacteristic
565C2×C8×C47C2411yescharacteristic
566C2×C8×C47C2411yescharacteristic
567C4⋊C4×C47—21no—
568C4⋊C4×C47—21no—
569C4⋊C4×C47—21no—
570C4⋊C4×C47C2×D411yescharacteristic
571C4⋊C4×C47C2×D411yescharacteristic
572C4⋊C4×C47C2411yescharacteristic
573C4⋊C4×C47C2411yescharacteristic
574C4⋊C4×C47C2411yescharacteristic
575C4⋊C4×C47C2411yescharacteristic
576C22⋊C4×C47—21no—
577C22⋊C4×C47—21no—
578C22⋊C4×C47—21no—
579C22⋊C4×C47—21no—
580C22⋊C4×C47—21no—
581C22⋊C4×C47—21no—
582C22⋊C4×C47—21no—
583C22⋊C4×C47—21no—
584C22⋊C4×C47—21no—
585C22⋊C4×C47—21no—
586C22⋊C4×C47C2×D411yescharacteristic
587C22⋊C4×C47C2×D411yescharacteristic
588C42×C47—21no—
589C42×C47—21no—
590C42×C47C2411yescharacteristic
591C42×C47C2411yescharacteristic
592C22⋊Dic47—21no—
593C22⋊Dic47—21no—
594C22⋊Dic47—21no—
595C22⋊Dic47—21no—
596C22⋊Dic47—21no—
597C22⋊Dic47—21no—
598C22⋊Dic47—21no—
599C22⋊Dic47—21no—
600C22⋊Dic47—21no—
601C22⋊Dic47—21no—
602#10625336—41no—
603#10625336—41no—
604#10625335—41no—
605#10625335—41no—
606#10625334—41no—
607#10625334—41no—
608#10625334—41no—
609#10625334—41no—
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)⋊C4—21no—
622(C2×D47)⋊C4—21no—
623(C2×D47)⋊C4—21no—
624(C2×D47)⋊C4—21no—
625(C2×D47)⋊C4—21no—
626(C2×D47)⋊C4—21no—
627(C2×D47)⋊C4—21no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4C2×D411yescharacteristic
631(C2×D47)⋊C4C2×D411yescharacteristic
632(C2×D47)⋊C4C2×D411yescharacteristic
633(C2×D47)⋊C4C2×D411yescharacteristic
634C4⋊Dic47—21no—
635C4⋊Dic47—21no—
636C4⋊Dic47—21no—
637C4⋊Dic47—21no—
638C4⋊Dic47—21no—
639C4⋊Dic47—21no—
640C4⋊Dic47—21no—
641C4⋊Dic47C2411yescharacteristic
642C4⋊Dic47C2411yescharacteristic
643C4⋊Dic47C2411yescharacteristic
644C4⋊Dic47C2411yescharacteristic
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⋊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×Dic47C2×D411yescharacteristic
666C4×Dic47C2×D411yescharacteristic
667C4×Dic47C2×D411yescharacteristic
668C4×Dic47C2×D411yescharacteristic
669C4×Dic47C2×D411yescharacteristic
670C4×Dic47C2×D411yescharacteristic
671C4×Dic47C2411yescharacteristic
672C4×Dic47C2411yescharacteristic
673C2×C47⋊C8C2411yescharacteristic
674C2×C47⋊C8C2411yescharacteristic
675C2×C47⋊C8C2411yescharacteristic
676C2×C47⋊C8C2411yescharacteristic
677D376—41no—
678D376—41no—
679#10625325—41no—
680#10625325—41no—
681#10625324—41no—
682#10625324—41no—
683C8×D47—41no—
684C8×D47—41no—
685C23×C47—21no—
686C23×C47—21no—
687C23×C47—21no—
688C23×C47—42no—
689C23×C47—81no—
690C23×C47—81no—
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
702C22×D47C22×D411yescharacteristic
703Q8×C47—21no—
704Q8×C47—21no—
705Q8×C47—81no—
706D4×C47—21no—
707D4×C47—21no—
708D4×C47—21no—
709D4×C47—21no—
710D4×C47—21no—
711D4×C47—21no—
712D4×C47—42no—
713D4×C47—81no—
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×C47—81no—
724C2×C4×C47—81no—
725C2×C4×C47—81no—
726C2×C4×C47C22×D411yescharacteristic
727C2×C4×C47C22×D411yescharacteristic
728C2×C4×C47C22×D411yescharacteristic
729C2×C4×C47C22×D411yescharacteristic
730C2×C4×C47C22×D411yescharacteristic
731C2×C4×C47C2511yescharacteristic
732C22⋊D47—41no—
733C22⋊D47—41no—
734C22⋊D47—42no—
735C22⋊D47—42no—
736C22⋊D47—42no—
737C22⋊D47—42no—
738C22⋊D47—42no—
739C22⋊D47—81no—
740C22⋊D47—81no—
741C22⋊D47—81no—
742C22⋊D47—81no—
743C22⋊D47—81no—
744C22⋊D47—81no—
745C22⋊D47—81no—
746C22⋊D47—81no—
747C22⋊D47—81no—
748C22⋊D47—81no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—21no—
753C2×Dic47—21no—
754C2×Dic47—41no—
755C2×Dic47—41no—
756C2×Dic47—81no—
757C2×Dic47C22×D411yescharacteristic
758C2×Dic47C22×D411yescharacteristic
759C2×Dic47C22×D411yescharacteristic
760C2×Dic47C22×D411yescharacteristic
761C2×Dic47C22×D411yescharacteristic
762C2×Dic47C22×D411yescharacteristic
763D188—21no—
764D188—21no—
765D188—21no—
766D188—21no—
767D188—21no—
768D188—21no—
769D188—41no—
770D188—42no—
771D188—81no—
772D188—81no—
773D188—81no—
774D188—81no—
775D188—81no—
776C4×D47—21no—
777C4×D47—21no—
778C4×D47—21no—
779C4×D47—21no—
780C4×D47—41no—
781C4×D47—41no—
782C4×D47—41no—
783C4×D47—41no—
784C4×D47—42no—
785C4×D47—81no—
786C4×D47—81no—
787C4×D47—81no—
788C4×D47—81no—
789C4×D47—81no—
790C4×D47—81no—
791Dic94—21no—
792Dic94—21no—
793Dic94—41no—
794Dic94—42no—
795Dic94—42no—
796Dic94—42no—
797Dic94—81no—
798C8×C47—21no—
799C8×C47—21no—
800C8×C47—21no—
801C8×C47—21no—
802C47⋊C8—21no—
803C47⋊C8—21no—
804C47⋊C8—21no—
805C47⋊C8—21no—
806#61017—471nomaximal, Sylow
807C22×C47—21no—
808C22×C47—21no—
809C22×C47—21no—
810C22×C47—41no—
811C22×C47—41no—
812C22×C47—41no—
813C22×C47—41no—
814C22×C47—41no—
815C22×C47—41no—
816C22×C47—41no—
817C22×C47—41no—
818C22×C47—41no—
819C22×C47—162no—
820C22×C47C23×D411yescharacteristic
821C2×D47—21no—
822C2×D47—21no—
823C2×D47—21no—
824C2×D47—21no—
825C2×D47—21no—
826C2×D47—21no—
827C2×D47—41no—
828C2×D47—41no—
829C2×D47—41no—
830C2×D47—41no—
831C2×D47—41no—
832C2×D47—41no—
833C2×D47—41no—
834C2×D47—41no—
835C2×D47—41no—
836C2×D47—162no—
837C2×D47—162no—
838C4×C47—21no—
839C4×C47—21no—
840C4×C47—21no—
841C4×C47—21no—
842C4×C47—21no—
843C4×C47—41no—
844C4×C47—41no—
845C4×C47—41no—
846C4×C47—41no—
847C4×C47—41no—
848C4×C47#58511yescharacteristic
849C4×C47#58511yescharacteristic
850Dic47—21no—
851Dic47—21no—
852Dic47—21no—
853Dic47—21no—
854Dic47—21no—
855Dic47—21no—
856Dic47—41no—
857Dic47—41no—
858Dic47—41no—
859Dic47—41no—
860Dic47—41no—
861#3510—471no—
862#3508—471no—
863#3257—471no—
864#3257—471no—
865#3257—471no—
866#3257—471no—
867#3240—471no—
868#3240—471no—
869#3235—471no—
870#3235—471no—
871#3217—471no—
872#3217—471no—
873#3213—471no—
874#3213—471no—
875#3200—471no—
876#3200—471no—
877#3199—471no—
878#3199—471no—
879#3180—471no—
880#3180—471no—
881#3171—471no—
882#3171—471no—
883#3126—471no—
884#3126—471no—
885#3122—471no—
886#3122—471no—
887#3118—471no—
888#3118—471no—
889#3118—471no—
890#3118D4711yescharacteristic, complemented
891#2923—471no—
892C2×C47—41no—
893C2×C47—81no—
894C2×C47—81no—
895C2×C47—81no—
896C2×C47#344911yescharacteristic
897C2×C47#358511yescharacteristic
898C2×C47#358511yescharacteristic
899D47—41no—
900D47—41no—
901D47—81no—
902D47—81no—
903D47—81no—
904#559—941no—
905#559—941no—
906#559—941no—
907#559—941no—
908#556—941no—
909#556—941no—
910#551—941no—
911#551—941no—
912#551—941no—
913#551—941no—
914#550—941no—
915#550—941no—
916#546—941no—
917#546—941no—
918#546—941no—
919#546—941no—
920#542—471no—
921#542—471no—
922#542—471no—
923#542C2×D4711yescharacteristic
924#540—471no—
925#540—471no—
926#540—471no—
927#540—471no—
928#536—471no—
929#535—471no—
930#535—471no—
931#535—471no—
932#533—471no—
933#533—471no—
934#532—471no—
935#532—471no—
936#532—471no—
937#532—471no—
938C2×#127—471no—
939#529—471no—
940#529—471no—
941#529—471no—
942#529—471no—
943C2×#124—471no—
944#519—471no—
945#518—471no—
946#518—471no—
947#518C2×D4711yescharacteristic, complemented
948C4×#41—471no—
949#501—471no—
950#501—471no—
951#501—471no—
952#501—471no—
953#496—471no—
954#496—471no—
955#496—471no—
956#496—471no—
957#490—471no—
958#490—471no—
959#490—471no—
960#490—471no—
961#489—471no—
962#489—471no—
963#489—471no—
964#489—471no—
965#485—471no—
966#485—471no—
967#485—471no—
968#485C2×D4711yescharacteristic, complemented
969#482—471no—
970#482—471no—
971#482—471no—
972#482—471no—
973#482—471no—
974#482—471no—
975#482—471no—
976#482—471no—
977#482—471no—
978#482—471no—
979#482—471no—
980#482C2×D4711yescharacteristic
981#479—471no—
982#479—471no—
983#479—471no—
984#479—471no—
985#478—471no—
986#478—471no—
987#478—471no—
988#478—471no—
989#476—471no—
990#476—471no—
991#476—471no—
992#476C2×D4711yescharacteristic, complemented
993#474—471no—
994#474—471no—
995#474—471no—
996#474C2×D4711yescharacteristic, complemented
997#469—471no—
998#469—471no—
999#469—471no—
1000#469—471no—
1001#468—471no—
1002#468—471no—
1003#468—471no—
1004#468—471no—
1005#466—471no—
1006#466—471no—
1007#466—471no—
1008#466—471no—
1009#465—471no—
1010#465—471no—
1011#465—471no—
1012#465—471no—
1013#463—471no—
1014#463—471no—
1015#463—471no—
1016#463—471no—
1017#463—471no—
1018#463—471no—
1019#463C2×D4711yescharacteristic, complemented
1020#463C2×D4711yescharacteristic, complemented
1021#460—471no—
1022#460—471no—
1023#460—471no—
1024#460—471no—
1025#459—471no—
1026#459—471no—
1027#459—471no—
1028#459—471no—
1029#450—471no—
1030#450—471no—
1031#450—471no—
1032#450C2×D4711yescharacteristic, complemented
1033#448—471no—
1034#448—471no—
1035#448—471no—
1036#448—471no—
1037#447—471no—
1038#447—471no—
1039#447—471no—
1040#447—471no—
1041#447—471no—
1042#447—471no—
1043#447—471no—
1044#447C2×D4711yescharacteristic
1045#442—471no—
1046#442—471no—
1047#442—471no—
1048#442C2×D4711yescharacteristic, complemented
1049#440—471no—
1050#440—471no—
1051#440—471no—
1052#440C2×D4711yescharacteristic, complemented
1053C4×SD16—471no—
1054C4×SD16—471no—
1055C4×SD16—471no—
1056C4×SD16C2×D4711yescharacteristic, complemented
1057C4×D8—471no—
1058C4×D8—471no—
1059C4×D8—471no—
1060C4×D8C2×D4711yescharacteristic, complemented
1061#433—471no—
1062#433—471no—
1063#433—471no—
1064#433C2×D4711yescharacteristic, complemented
1065#432—471no—
1066#432—471no—
1067#432—471no—
1068#432—471no—
1069#424—471no—
1070#424—471no—
1071#408—471no—
1072#408—471no—
1073C4×M16—471no—
1074C2×#97—471no—
1075C47#6101711yescharacteristic, complemented, Sylow
1076C2×#41—471no—
1077C2×#41—941no—
1078C2×#41—941no—
1079C2×#41—941no—
1080C2×#41—941no—
1081C22×Q8—471no—
1082C22×D4—471no—
1083C22×D4—471no—
1084C22×D4—941no—
1085C22×D4—941no—
1086C22×D4C22×D4711yescharacteristic
1087C2×SD16—471no—
1088C2×SD16—471no—
1089C2×SD16—471no—
1090C2×SD16—471no—
1091C2×SD16—471no—
1092C2×SD16—471no—
1093C2×SD16C22×D4711yescharacteristic
1094C2×SD16C22×D4711yescharacteristic
1095C2×D8—471no—
1096C2×D8—471no—
1097C2×D8—471no—
1098C2×D8—471no—
1099C2×D8—471no—
1100C2×D8—471no—
1101C2×D8C22×D4711yescharacteristic
1102C2×D8C22×D4711yescharacteristic
1103C2×M16—471no—
1104C2×M16—471no—
1105C22×C8—471no—
1106C22×C8—471no—
1107C4⋊Q8—471no—
1108C4⋊Q8—471no—
1109C4⋊Q8—471no—
1110C4⋊Q8—941no—
1111C4⋊Q8C22×D4711yescharacteristic
1112#127—471no—
1113#127—471no—
1114#127—471no—
1115#127—471no—
1116#127—941no—
1117#127—941no—
1118#127—941no—
1119#127—941no—
1120#127—941no—
1121#126—21no—
1122#126—941no—
1123#126—941no—
1124#126—941no—
1125#126—941no—
1126#126—941no—
1127#126—941no—
1128#126—941no—
1129#125—471no—
1130#125—471no—
1131#125—471no—
1132#125—471no—
1133#124—21no—
1134#124—471no—
1135#124—471no—
1136#124—471no—
1137#124—941no—
1138#124—941no—
1139#124—941no—
1140#124—941no—
1141#124—941no—
1142#124—941no—
1143#124—941no—
1144#124—941no—
1145#124—941no—
1146#124—941no—
1147#124—941no—
1148#124—941no—
1149#124—941no—
1150#124C22×D4711yescharacteristic
1151#123—21no—
1152#123—941no—
1153#123—941no—
1154#123—941no—
1155#123—941no—
1156#123—941no—
1157#123—941no—
1158#123—941no—
1159#123—941no—
1160#123—941no—
1161#123—941no—
1162#123—941no—
1163#123—941no—
1164#123—941no—
1165#123—941no—
1166#123—941no—
1167#123—941no—
1168#123—941no—
1169C22⋊Q8—21no—
1170C22⋊Q8—471no—
1171C22⋊Q8—471no—
1172C22⋊Q8—471no—
1173C22⋊Q8—941no—
1174C22⋊Q8—941no—
1175C22⋊Q8—941no—
1176C22⋊Q8—941no—
1177C22⋊Q8—941no—
1178C22⋊Q8—941no—
1179C22⋊Q8—941no—
1180C22⋊Q8C22×D4711yescharacteristic
1181#121—471no—
1182#121—471no—
1183#121—471no—
1184#121—471no—
1185#121—471no—
1186#121—471no—
1187#121—471no—
1188#121—471no—
1189#121—471no—
1190#121—471no—
1191#121—471no—
1192#121—941no—
1193#121—941no—
1194#121—941no—
1195#121—941no—
1196#121—941no—
1197#121—941no—
1198#121—941no—
1199#121—941no—
1200#121—941no—
1201#121—941no—
1202#121—941no—
1203#121—941no—
1204#121C22×D4711yescharacteristic
1205#120—941no—
1206#120—941no—
1207#120—941no—
1208#120—941no—
1209#120—941no—
1210#120—941no—
1211C4×Q8—471no—
1212C4×Q8—471no—
1213C4×Q8—471no—
1214C4×Q8—471no—
1215C4×Q8—471no—
1216C4×Q8—941no—
1217C4×Q8—941no—
1218C4×Q8—941no—
1219C4×Q8—941no—
1220C4×Q8—941no—
1221C4×Q8—941no—
1222C4×Q8C22×D4711yescharacteristic
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—471no—
1226C4×D4—471no—
1227C4×D4—471no—
1228C4×D4—471no—
1229C4×D4—471no—
1230C4×D4—471no—
1231C4×D4—471no—
1232C4×D4—471no—
1233C4×D4—471no—
1234C4×D4—471no—
1235C4×D4—471no—
1236C4×D4—471no—
1237C4×D4—471no—
1238C4×D4—941no—
1239C4×D4—941no—
1240C4×D4—941no—
1241C4×D4—941no—
1242C4×D4—941no—
1243C4×D4—941no—
1244C4×D4—941no—
1245C4×D4—941no—
1246C4×D4—941no—
1247C4×D4—941no—
1248C4×D4—941no—
1249C4×D4—941no—
1250C4×D4C22×D4711yescharacteristic
1251C4×D4C22×D4711yescharacteristic
1252C4×D4C22×D4711yescharacteristic
1253C4×D4C22×D4711yescharacteristic
1254C4×D4C22×D4711yescharacteristic
1255#117—471no—
1256#117—471no—
1257#117—471no—
1258#117—471no—
1259#117—471no—
1260#117—941no—
1261#117—941no—
1262#117—941no—
1263#117—941no—
1264#117—941no—
1265#117—941no—
1266#117C22×D4711yescharacteristic
1267#117C22×D4711yescharacteristic
1268C2×C22⋊C4—21no—
1269C2×C22⋊C4—21no—
1270C2×C22⋊C4—941no—
1271C2×C22⋊C4—941no—
1272C2×C22⋊C4—941no—
1273C2×C22⋊C4—941no—
1274C2×C22⋊C4—941no—
1275C2×C22⋊C4—941no—
1276C2×C42—471no—
1277C2×C42—471no—
1278C2×C42—471no—
1279#107—471no—
1280#107—471no—
1281#107—471no—
1282#107—471no—
1283#107—471no—
1284#107—471no—
1285#107C22×D4711yescharacteristic
1286#107C22×D4711yescharacteristic
1287#106—471no—
1288#106—471no—
1289#106—471no—
1290#106—471no—
1291#106—471no—
1292#106—471no—
1293#106C22×D4711yescharacteristic
1294#106C22×D4711yescharacteristic
1295C4⋊C8—471no—
1296C4⋊C8—471no—
1297C4⋊C8—471no—
1298C4⋊C8—471no—
1299C4⋊C8—471no—
1300C4⋊C8—471no—
1301C4⋊C8C22×D4711yescharacteristic
1302C4⋊C8C22×D4711yescharacteristic
1303#103—471no—
1304#103—471no—
1305#103—471no—
1306#103—471no—
1307#103—471no—
1308#103—471no—
1309#103C22×D4711yescharacteristic
1310#103C22×D4711yescharacteristic
1311#102—471no—
1312#102—471no—
1313#102—471no—
1314#102—471no—
1315#102—471no—
1316#102—471no—
1317#102—471no—
1318#102—471no—
1319#102—471no—
1320#102—471no—
1321#102—471no—
1322#102—471no—
1323#102—471no—
1324#102—471no—
1325#102—471no—
1326#102—471no—
1327#102—471no—
1328#102—471no—
1329#102C22×D4711yescharacteristic
1330#102C22×D4711yescharacteristic
1331#102C22×D4711yescharacteristic
1332#102C22×D4711yescharacteristic
1333#102C22×D4711yescharacteristic
1334#102C22×D4711yescharacteristic
1335C22⋊C8—471no—
1336C22⋊C8—471no—
1337C22⋊C8—471no—
1338C22⋊C8—471no—
1339C22⋊C8—471no—
1340C22⋊C8—471no—
1341C22⋊C8C22×D4711yescharacteristic
1342C22⋊C8C22×D4711yescharacteristic
1343#97—471no—
1344#97—471no—
1345#97—471no—
1346#97—471no—
1347#97—471no—
1348#97C22×D4711yescharacteristic
1349C4×C8—471no—
1350C4×C8C22×D4711yescharacteristic
1351C24—21no—
1352C24—941no—
1353C24—941no—
1354#41—3762no—
1355#41—3762no—
1356#41—3762no—
1357#41—3762no—
1358#41—1881no—
1359#41—1881no—
1360C2×Q8—21no—
1361C2×Q8—471no—
1362C2×Q8—471no—
1363C2×Q8—941no—
1364C2×Q8—941no—
1365C2×Q8—941no—
1366C2×Q8—941no—
1367C2×Q8—1881no—
1368C2×Q8—1881no—
1369C2×Q8C23×D4711yescharacteristic
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—471no—
1375C2×D4—471no—
1376C2×D4—471no—
1377C2×D4—471no—
1378C2×D4—471no—
1379C2×D4—471no—
1380C2×D4—941no—
1381C2×D4—941no—
1382C2×D4—941no—
1383C2×D4—941no—
1384C2×D4—941no—
1385C2×D4—941no—
1386C2×D4—941no—
1387C2×D4—941no—
1388C2×D4—941no—
1389C2×D4—941no—
1390C2×D4—941no—
1391C2×D4—941no—
1392C2×D4—941no—
1393C2×D4—941no—
1394C2×D4—941no—
1395C2×D4—941no—
1396C2×D4—941no—
1397C2×D4—941no—
1398C2×D4—941no—
1399C2×D4—941no—
1400C2×D4—941no—
1401C2×D4—3762no—
1402C2×D4—3762no—
1403C2×D4—1881no—
1404C2×D4—1881no—
1405C2×D4—1881no—
1406C2×D4—1881no—
1407C2×D4C23×D4711yescharacteristic
1408C2×D4C23×D4711yescharacteristic
1409C2×D4C23×D4711yescharacteristic
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—471no—
1416C22×C4—471no—
1417C22×C4—471no—
1418C22×C4—471no—
1419C22×C4—471no—
1420C22×C4—471no—
1421C22×C4—471no—
1422C22×C4—471no—
1423C22×C4—941no—
1424C22×C4—941no—
1425C22×C4—941no—
1426C22×C4—941no—
1427C22×C4—941no—
1428C22×C4—941no—
1429C22×C4—941no—
1430C22×C4—941no—
1431C22×C4C23×D4711yescharacteristic
1432SD16—41no—
1433SD16—41no—
1434SD16—1881no—
1435SD16—1881no—
1436SD16—1881no—
1437SD16—1881no—
1438SD16—1881no—
1439SD16—1881no—
1440D8—41no—
1441D8—41no—
1442D8—1881no—
1443D8—1881no—
1444D8—1881no—
1445D8—1881no—
1446D8—1881no—
1447D8—1881no—
1448M16—1881no—
1449M16—1881no—
1450C2×C8—471no—
1451C2×C8—471no—
1452C2×C8—471no—
1453C2×C8—471no—
1454C2×C8—1881no—
1455C2×C8—1881no—
1456C2×C8C23×D4711yescharacteristic
1457C2×C8C23×D4711yescharacteristic
1458C2×C8C23×D4711yescharacteristic
1459C2×C8C23×D4711yescharacteristic
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—471no—
1464C4⋊C4—471no—
1465C4⋊C4—471no—
1466C4⋊C4—471no—
1467C4⋊C4—471no—
1468C4⋊C4—471no—
1469C4⋊C4—471no—
1470C4⋊C4—471no—
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⋊C4—941no—
1483C4⋊C4—941no—
1484C4⋊C4—941no—
1485C4⋊C4—941no—
1486C4⋊C4—941no—
1487C4⋊C4—941no—
1488C4⋊C4D4×D4711yescharacteristic
1489C4⋊C4D4×D4711yescharacteristic
1490C4⋊C4C23×D4711yescharacteristic
1491C4⋊C4C23×D4711yescharacteristic
1492C4⋊C4C23×D4711yescharacteristic
1493C4⋊C4C23×D4711yescharacteristic
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—471no—
1505C22⋊C4—471no—
1506C22⋊C4—471no—
1507C22⋊C4—471no—
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⋊C4—941no—
1526C22⋊C4—941no—
1527C22⋊C4—941no—
1528C22⋊C4—941no—
1529C22⋊C4—941no—
1530C22⋊C4—941no—
1531C22⋊C4—941no—
1532C22⋊C4—941no—
1533C22⋊C4—941no—
1534C22⋊C4—941no—
1535C22⋊C4—941no—
1536C22⋊C4—941no—
1537C22⋊C4—941no—
1538C22⋊C4D4×D4711yescharacteristic
1539C22⋊C4D4×D4711yescharacteristic
1540C42—21no—
1541C42—21no—
1542C42—471no—
1543C42—471no—
1544C42—471no—
1545C42—471no—
1546C42—471no—
1547C42—471no—
1548C42—471no—
1549C42—471no—
1550C42—941no—
1551C42—941no—
1552C42—941no—
1553C42—941no—
1554C42—941no—
1555C42—941no—
1556C42C23×D4711yescharacteristic
1557C42C23×D4711yescharacteristic
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—42no—
1562C23—81no—
1563C23—81no—
1564C23—471no—
1565C23—471no—
1566C23—941no—
1567C23—941no—
1568C23—941no—
1569C23—3761no—
1570C23—3761no—
1571C23—3761no—
1572C23—3761no—
1573C23—1882no—
1574C23—1882no—
1575C23C2×D4×D4711yescharacteristic
1576Q8—21no—
1577Q8—21no—
1578Q8—81no—
1579Q8—941no—
1580Q8—941no—
1581Q8—3761no—
1582Q8—1881no—
1583Q8—1882no—
1584Q8—1882no—
1585Q8—1882no—
1586D4—21no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—42no—
1593D4—81no—
1594D4—941no—
1595D4—941no—
1596D4—941no—
1597D4—941no—
1598D4—941no—
1599D4—941no—
1600D4—3761no—
1601D4—3761no—
1602D4—3761no—
1603D4—3761no—
1604D4—3761no—
1605D4—3761no—
1606D4—3761no—
1607D4—3761no—
1608D4—3761no—
1609D4—3761no—
1610D4—3761no—
1611D4—3761no—
1612D4—3761no—
1613D4—3761no—
1614D4—3761no—
1615D4—1881no—
1616D4—1882no—
1617D4—1881no—
1618D4—1881no—
1619D4—1882no—
1620D4—1882no—
1621D4—1882no—
1622D4—1882no—
1623D4—1882no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4—471no—
1637C2×C4—471no—
1638C2×C4—471no—
1639C2×C4—471no—
1640C2×C4—471no—
1641C2×C4—471no—
1642C2×C4—941no—
1643C2×C4—941no—
1644C2×C4—941no—
1645C2×C4—941no—
1646C2×C4—941no—
1647C2×C4—941no—
1648C2×C4—941no—
1649C2×C4—941no—
1650C2×C4—941no—
1651C2×C4—3761no—
1652C2×C4—3761no—
1653C2×C4—3761no—
1654C2×C4—3761no—
1655C2×C4—3761no—
1656C2×C4—3761no—
1657C2×C4—3761no—
1658C2×C4—1881no—
1659C2×C4—1881no—
1660C2×C4—1881no—
1661C2×C4—1881no—
1662C2×C4—1882no—
1663C2×C4—1881no—
1664C2×C4—1881no—
1665C2×C4C2×D4×D4711yescharacteristic
1666C2×C4C2×D4×D4711yescharacteristic
1667C2×C4C2×D4×D4711yescharacteristic
1668C2×C4C2×D4×D4711yescharacteristic
1669C2×C4C2×D4×D4711yescharacteristic
1670C2×C4C24×D4711yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—941no—
1676C8—941no—
1677C8—941no—
1678C8—941no—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—162no—
1692C22—941no—
1693C22—941no—
1694C22—941no—
1695C22—941no—
1696C22—941no—
1697C22—941no—
1698C22—1881no—
1699C22—1881no—
1700C22—1881no—
1701C22—1881no—
1702C22—1881no—
1703C22—1881no—
1704C22—1881no—
1705C22—1881no—
1706C22—1881no—
1707C22—7522no—
1708C22—7522no—
1709C22C22×D4×D4711yescharacteristic
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—941no—
1721C4—941no—
1722C4—941no—
1723C4—941no—
1724C4—941no—
1725C4—941no—
1726C4—1881no—
1727C4—1881no—
1728C4—1881no—
1729C4—1881no—
1730C4—1881no—
1731C4#1568995911yescharacteristic
1732C4#1568995911yescharacteristic
1733C2—41no—
1734C2—81no—
1735C2—81no—
1736C2—81no—
1737C2—3761no—
1738C2—3761no—
1739C2—3761no—
1740C2—1881no—
1741C2—1881no—
1742C2#2025671811yescharacteristic
1743C2#2025816311yescharacteristic
1744C2#2025816611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3118C2
socleC22×C47C23×D4
hypercenter#3118D47
hypocenterC47#61017
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #20257280C2semidirect
2. #20257259C2semidirect
3. #20254806C2semidirect
4. #20254804C2semidirect
5. #20254798C2semidirect
6. #20254796C2semidirect
7. #20254632C2semidirect
8. #20254626C2semidirect
9. #20254585C2semidirect
10. #20254584C2semidirect
11. #20254409C2semidirect
12. #20254404C2semidirect
13. #20254373C2semidirect
14. #20254373C2semidirect
15. #20254259C2semidirect
16. #20254257C2semidirect
17. #20254252C2semidirect
18. #20254251C2semidirect
19. #20254084C2semidirect
20. #20254082C2semidirect
21. #20253981C2semidirect
22. #20253979C2semidirect
23. #20253678C2semidirect
24. #20253676C2semidirect
25. #20253630C2semidirect
26. #20253628C2semidirect
27. #20253574C2semidirect
28. #20253572C2semidirect
29. #20253566C2semidirect
30. #20252036C2semidirect
31. C47×#3118C2semidirect
48. #15689747C22semidirect
50. #15689742C22semidirect
53. #15689724C22semidirect
54. #15689724C22semidirect
59. #15689678C22semidirect
60. #15689676C22semidirect
63. #15689670C22semidirect
64. #15689670C22semidirect
65. C2×#13094020C22semidirect
66. #15689660C22semidirect
68. #15689655C22semidirect
70. #124×D47C22semidirect
71. #15689599C22semidirect
72. #15689597C22semidirect
73. #15689595C22semidirect
75. #15689531C22semidirect
76. #15689531C22semidirect
77. #15689530C22semidirect
78. #15689530C22semidirect
83. #15689486C22semidirect
84. #15689486C22semidirect
85. #15689486C22semidirect
86. #15689486C22semidirect
87. #15689484C22semidirect
88. #15689484C22semidirect
89. #15689481C22semidirect
90. #15689481C22semidirect
91. #15689465C22semidirect
92. #15689464C22semidirect
93. #15689461C22semidirect
94. #15689450C22semidirect
95. #15689450C22semidirect
96. #15689449C22semidirect
97. #15689449C22semidirect
100. #15689446C22semidirect
101. #15689446C22semidirect
102. #15689445C22semidirect
103. #15689445C22semidirect
105. #15689433C22semidirect
106. #15689432C22semidirect
107. #15689429C22semidirect
108. #15689428C22semidirect
109. #15689426C22semidirect
110. #15689425C22semidirect
111. #15689422C22semidirect
112. #15689421C22semidirect
113. #15689414C22semidirect
114. #15689413C22semidirect
115. #15689410C22semidirect
116. #15689404C22semidirect
117. #15689403C22semidirect
118. #15689400C22semidirect
119. #15689377C22semidirect
120. #15689375C22semidirect
121. #15689375C22semidirect
122. #15689373C22semidirect
123. #15689372C22semidirect
124. #15689370C22semidirect
125. #15689368C22semidirect
126. #15689366C22semidirect
127. #15689360C22semidirect
128. #15689358C22semidirect
129. #15689358C22semidirect
130. #15689356C22semidirect
131. #15689355C22semidirect
132. #15689353C22semidirect
133. #15689351C22semidirect
134. #15689349C22semidirect
135. #15689339C22semidirect
136. #15689339C22semidirect
137. #15689338C22semidirect
138. #15689338C22semidirect
139. #15689335C22semidirect
140. #15689335C22semidirect
141. #15689322C22semidirect
142. #15689322C22semidirect
143. #15689321C22semidirect
144. #15689321C22semidirect
149. #15689276C22semidirect
150. #15689274C22semidirect
151. #15689273C22semidirect
152. #15689263C22semidirect
153. #15689263C22semidirect
154. #15689260C22semidirect
155. #15689260C22semidirect
157. #15689258C22semidirect
158. #15689258C22semidirect
161. #15689255C22semidirect
162. #15689255C22semidirect
163. #15689236C22semidirect
164. #15689233C22semidirect
165. #15689233C22semidirect
166. #15689225C22semidirect
167. #15689223C22semidirect
168. #15689221C22semidirect
169. C4×#10625325C22semidirect
170. C4×#10625336C22semidirect
171. C4×#10625335C22semidirect
172. C4×D376C22semidirect
173. C4×#10625334C22semidirect
174. C4×#10625334C22semidirect
175. #15689185C22semidirect
176. #15689184C22semidirect
177. #15689182C22semidirect
178. #15689179C22semidirect
179. #15689179C22semidirect
180. #15689177C22semidirect
181. #15689177C22semidirect
182. #15689148C22semidirect
183. #15689148C22semidirect
186. C4×#10625324C22semidirect
187. #97×D47C22semidirect
189. C47×#518C22semidirect
190. C47×#485C22semidirect
192. C47×#476C22semidirect
193. C47×#474C22semidirect
194. C47×#463C22semidirect
195. C47×#463C22semidirect
196. C47×#450C22semidirect
198. C47×#442C22semidirect
199. C47×#440C22semidirect
200. C4×SD16×C47C22semidirect
201. C4×D8×C47C22semidirect
202. C47×#433C22semidirect
890. #3118D47semidirect
947. #518C2×D47semidirect
968. #485C2×D47semidirect
992. #476C2×D47semidirect
996. #474C2×D47semidirect
1019. #463C2×D47semidirect
1020. #463C2×D47semidirect
1032. #450C2×D47semidirect
1048. #442C2×D47semidirect
1052. #440C2×D47semidirect
1056. C4×SD16C2×D47semidirect
1060. C4×D8C2×D47semidirect
1064. #433C2×D47semidirect
1075. C47#61017semidirect

Maximal subgroups

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

subgroupindex
#202572802
#202572592
#202548062
#202548042
#202547982
#202547962
#202546322
#202546262
#202545852
#202545842
#202544092
#202544042
#202543732
#202542592
#202542572
#202542522
#202542512
#202540842
#202540822
#202539812
#202539792
#202536782
#202536762
#202536302
#202536282
#202535742
#202535722
#202535662
#202520362
C47×#31182
#6101747