Finite Group Databasebeta

← #27110076

Subgroups — #27110076

Order 12032.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257979C211yesmaximal, characteristic, complemented
2#20257317C211yesmaximal, characteristic, complemented
3#20256458C211yesmaximal, characteristic, complemented
4#20256397C211yesmaximal, characteristic, complemented
5#20256145C211yesmaximal, characteristic, complemented
6#20256038C211yesmaximal, characteristic, complemented
7#20255686C211yesmaximal, characteristic, complemented
8#20255660C211yesmaximal, characteristic, complemented
9#20255641C211yesmaximal, characteristic, complemented
10#20255520C211yesmaximal, characteristic, complemented
11#20255355C211yesmaximal, characteristic, complemented
12#20255240C211yesmaximal, characteristic, complemented
13#20255006C211yesmaximal, characteristic, complemented
14#20254995C211yesmaximal, characteristic, complemented
15#20254992C211yesmaximal, characteristic, complemented
16#20254913C211yesmaximal, characteristic, complemented
17#20254883C211yesmaximal, characteristic, complemented
18#20254828C211yesmaximal, characteristic, complemented
19#20254802C211yesmaximal, characteristic, complemented
20#20254787C211yesmaximal, characteristic, complemented
21#20254503C211yesmaximal, characteristic, complemented
22#20254436C211yesmaximal, characteristic, complemented
23#20254359C211yesmaximal, characteristic, complemented
24#20253625C211yesmaximal, characteristic, complemented
25#20253603C211yesmaximal, characteristic, complemented
26#20253439C211yesmaximal, characteristic, complemented
27#20252925C211yesmaximal, characteristic, complemented
28#20252897C211yesmaximal, characteristic, complemented
29#20252850C211yesmaximal, characteristic, complemented
30#20252538C211yesmaximal, characteristic, complemented
31C47×#3282C211yesmaximal, characteristic, complemented
32C2×#13094051C2211yescharacteristic
33C2×#13094050C2211yescharacteristic
34C2×#13094049C2211yescharacteristic
35C2×#13094048C2211yescharacteristic, complemented
36#15689869—21no—
37#15689861—21no—
38#15689855C2211yescharacteristic, complemented
39#15689855C2211yescharacteristic, complemented
40#15689845C2211yescharacteristic, complemented
41#15689832C2211yescharacteristic, complemented
42#15689822—21no—
43#15689819C2211yescharacteristic
44#15689816—21no—
45#15689807C2211yescharacteristic, complemented
46#15689803—21no—
47#15689799—21no—
48#15689796—21no—
49#15689791C2211yescharacteristic
50#15689784C2211yescharacteristic
51#15689773C2211yescharacteristic
52#15689772C2211yescharacteristic, complemented
53#15689769C2211yescharacteristic, complemented
54#15689764C2211yescharacteristic, complemented
55#15689761C2211yescharacteristic
56#15689760—21no—
57D4×C22⋊D47C2211yescharacteristic, complemented
58#15689746C2211yescharacteristic, complemented
59#15689733C2211yescharacteristic, complemented
60#15689726C2211yescharacteristic
61#15689726C2211yescharacteristic, complemented
62#15689724—21no—
63#15689722—21no—
64#15689717—21no—
65#15689708—21no—
66#15689707—21no—
67#15689705—21no—
68#15689697C2211yescharacteristic, complemented
69#15689687C2211yescharacteristic, complemented
70#15689672C2211yescharacteristic, complemented
71#15689660C2211yescharacteristic, complemented
72#15689655C2211yescharacteristic
73#15689652C2211yescharacteristic, complemented
74#15689633—21no—
75C2×#13094006—21no—
76#15689606C2211yescharacteristic
77#15689598C2211yescharacteristic, complemented
78C4×D4×D47C2211yescharacteristic, complemented
79#15689516C2211yescharacteristic, complemented
80#15689509C2211yescharacteristic
81#15689508C2211yescharacteristic, complemented
82#15689505C2211yescharacteristic, complemented
83#15689498C2211yescharacteristic
84#15689486C2211yescharacteristic, complemented
85#15689484C2211yescharacteristic, complemented
86#15689479C2211yescharacteristic, complemented
87#15689478C2211yescharacteristic, complemented
88#15689477C2211yescharacteristic, complemented
89#15689472C2211yescharacteristic, complemented
90#15689459C2211yescharacteristic, complemented
91#15689457C2211yescharacteristic, complemented
92#15689451C2211yescharacteristic, complemented
93#15689448C2211yescharacteristic, complemented
94#15689444C2211yescharacteristic, complemented
95#15689443C2211yescharacteristic, complemented
96#15689433C2211yescharacteristic, complemented
97#15689432C2211yescharacteristic, complemented
98#15689430C2211yescharacteristic, complemented
99#15689428C2211yescharacteristic, complemented
100#15689425C2211yescharacteristic, complemented
101#15689424C2211yescharacteristic, complemented
102#15689422C2211yescharacteristic, complemented
103#15689421C2211yescharacteristic, complemented
104#15689412C2211yescharacteristic, complemented
105#15689401C2211yescharacteristic, complemented
106#15689378C2211yescharacteristic, complemented
107#15689375C2211yescharacteristic
108#15689374C2211yescharacteristic, complemented
109#15689372C2211yescharacteristic, complemented
110#15689371C2211yescharacteristic, complemented
111#15689371C2211yescharacteristic, complemented
112#15689367C2211yescharacteristic, complemented
113#15689366C2211yescharacteristic, complemented
114#15689359C2211yescharacteristic
115#15689352C2211yescharacteristic, complemented
116#15689347C2211yescharacteristic, complemented
117#15689347C2211yescharacteristic, complemented
118#15689341C2211yescharacteristic, complemented
119#15689341C2211yescharacteristic, complemented
120#15689340C2211yescharacteristic
121#15689340C2211yescharacteristic
122#15689340C2211yescharacteristic
123#15689340C2211yescharacteristic, complemented
124#15689340C2211yescharacteristic, complemented
125#15689340C2211yescharacteristic, complemented
126#15689339C2211yescharacteristic, complemented
127#15689338C2211yescharacteristic
128#15689335C2211yescharacteristic, complemented
129#15689335C2211yescharacteristic, complemented
130#15689331C2211yescharacteristic, complemented
131#15689327C2211yescharacteristic, complemented
132#15689326C2211yescharacteristic, complemented
133#15689326C2211yescharacteristic, complemented
134#15689326C2211yescharacteristic, complemented
135#15689326C2211yescharacteristic, complemented
136#15689322C2211yescharacteristic, complemented
137#15689321C2211yescharacteristic, complemented
138#15689321C2211yescharacteristic, complemented
139#15689321C2211yescharacteristic, complemented
140#15689317C2211yescharacteristic, complemented
141#15689316C2211yescharacteristic
142#15689316C2211yescharacteristic
143#15689316C2211yescharacteristic, complemented
144#15689285C2211yescharacteristic
145#15689284C2211yescharacteristic, complemented
146#15689283C2211yescharacteristic, complemented
147#15689282C2211yescharacteristic, complemented
148#15689272C2211yescharacteristic, complemented
149#15689270C2211yescharacteristic
150#15689268C2211yescharacteristic, complemented
151#15689267C2211yescharacteristic
152#15689265C2211yescharacteristic, complemented
153#15689262C2211yescharacteristic, complemented
154#15689259C2211yescharacteristic, complemented
155#15689258C2211yescharacteristic
156#15689257C2211yescharacteristic
157#15689256C2211yescharacteristic, complemented
158#15689250C2211yescharacteristic, complemented
159C8×Dic94C2211yescharacteristic, complemented
160#15689235C2211yescharacteristic, complemented
161#15689232C2211yescharacteristic, complemented
162#15689227C2211yescharacteristic, complemented
163#15689224C2211yescharacteristic, complemented
164Q16×Dic47C2211yescharacteristic, complemented
165#15689214C2211yescharacteristic, complemented
166C4×#10625336C2211yescharacteristic, complemented
167C4×D376C2211yescharacteristic, complemented
168D8×Dic47C2211yescharacteristic, complemented
169C4×#10625334C2211yescharacteristic
170#15689203C2211yescharacteristic
171#15689201C2211yescharacteristic, complemented
172#15689198C2211yescharacteristic, complemented
173#15689198C2211yescharacteristic, complemented
174#15689194C2211yescharacteristic, complemented
175#15689194C2211yescharacteristic, complemented
176#15689181C2211yescharacteristic, complemented
177#15689181C2211yescharacteristic, complemented
178#15689174C2211yescharacteristic, complemented
179#15689149C2211yescharacteristic, complemented
180#15689149C2211yescharacteristic, complemented
181#15689145C2211yescharacteristic, complemented
182#15689132C2211yescharacteristic, complemented
183#15689124C2211yescharacteristic, complemented
184#15689123C2211yescharacteristic, complemented
185#15689121C2211yescharacteristic, complemented
186#15689120C2211yescharacteristic, complemented
187C2×#13093946C2211yescharacteristic, complemented
188C2×#135×C47C2211yescharacteristic
189C22×SD16×C47C2211yescharacteristic, complemented
190C47×#548C2211yescharacteristic, complemented
191C47×#546C2211yescharacteristic
192C47×#495C2211yescharacteristic, complemented
193C47×#465C2211yescharacteristic, complemented
194C47×#465C2211yescharacteristic, complemented
195C47×#464C2211yescharacteristic, complemented
196C47×#463C2211yescharacteristic, complemented
197C47×#452C2211yescharacteristic
198C47×#451C2211yescharacteristic, complemented
199C47×#449C2211yescharacteristic, complemented
200C47×#447C2211yescharacteristic, complemented
201C4×SD16×C47C2211yescharacteristic, complemented
202C8×D4×C47C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625350C2311yescharacteristic
205C2×#10625352—21no—
206C2×#10625352C2311yescharacteristic
207C22×D188C2311yescharacteristic
208C22×C22⋊D47—21no—
209C2×D4×D47C2311yescharacteristic
210C22×C4×D47—21no—
211#13094051—42no—
212#13094050—42no—
213#13094049—42no—
214#13094048—42no—
215C2×#10625337C2311yescharacteristic
216C2×#10625325C2311yescharacteristic
217C2×#10625335C2311yescharacteristic
218C2×#10625335C2311yescharacteristic
219C2×#10625336C2311yescharacteristic
220C2×#10625336C2311yescharacteristic
221C2×#10625336C2311yescharacteristic
222C2×#10625336C2311yescharacteristic
223C2×D376C2311yescharacteristic
224C2×D376C2311yescharacteristic
225C2×#10625334C2311yescharacteristic
226C2×#10625334C2311yescharacteristic
227C2×#10625334C2311yescharacteristic
228C2×#10625334C2311yescharacteristic
229C2×#10625334C2311yescharacteristic
230C2×#10625329C2311yescharacteristic
231C2×#10625329C2311yescharacteristic
232C2×#10625324C2311yescharacteristic
233C2×#10625324C2311yescharacteristic
234#13094023C2311yescharacteristic
235#13094022C2311yescharacteristic
236#13094022C2311yescharacteristic
237#13094020—21no—
238#13094020C2311yescharacteristic
239#13094020C2311yescharacteristic
240#13094020C2311yescharacteristic
241#13094019—21no—
242#13094019—21no—
243#13094019—21no—
244#13094019—21no—
245#13094018—21no—
246#13094017—21no—
247#13094017—21no—
248#13094017—21no—
249#13094017—21no—
250#13094017D411yescharacteristic
251#13094017D411yescharacteristic
252#13094016C2311yescharacteristic
253#13094015—21no—
254#13094015D411yescharacteristic
255#13094015C2311yescharacteristic
256#13094015C2311yescharacteristic
257#13094014—21no—
258#13094014—21no—
259#13094013—21no—
260#13094013C2311yescharacteristic
261#13094013C2311yescharacteristic
262#13094013C2311yescharacteristic
263#13094013C2311yescharacteristic
264#13094012C2311yescharacteristic
265#13094011D411yescharacteristic
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#13094008—21no—
275#13094008—21no—
276#13094007—21no—
277#13094007—21no—
278#13094007—21no—
279#13094007—21no—
280#13094006—21no—
281#13094006—21no—
282#13094006—21no—
283#13094006—21no—
284#13094006—21no—
285#13094006—21no—
286#13094006—21no—
287#13094006—21no—
288#13094006—21no—
289#13094006D411yescharacteristic
290#13094006D411yescharacteristic
291#13094005—21no—
292#13094005—21no—
293#13094004—21no—
294#13094004D411yescharacteristic
295#13094003—21no—
296#13094003C2311yescharacteristic
297#13094002—21no—
298#13094001—21no—
299#13094001—21no—
300#13094001—21no—
301#13094000—21no—
302#13094000—21no—
303#13094000—21no—
304#13094000C2311yescharacteristic
305#13094000C2311yescharacteristic
306#13093999—21no—
307#13093999C2311yescharacteristic
308#13093998—21no—
309#13093998—21no—
310#13093998—21no—
311#13093998C2311yescharacteristic
312#13093998C2311yescharacteristic
313#13093998C2311yescharacteristic
314#13093997—21no—
315#13093997—21no—
316#13093997—21no—
317#13093997—21no—
318#13093996—21no—
319#13093996—21no—
320#13093996—21no—
321#13093996—21no—
322#13093996—21no—
323#13093996—21no—
324#13093996—21no—
325#13093995—21no—
326#13093995—21no—
327#13093995D411yescharacteristic
328#13093995C2311yescharacteristic
329#13093994—21no—
330#13093993—21no—
331#13093992—21no—
332#13093992—21no—
333#13093992—21no—
334#13093992—21no—
335#13093992—21no—
336Q8×Dic47C2311yescharacteristic
337Q8×Dic47C2311yescharacteristic
338Q8×Dic47C2311yescharacteristic
339C4×Dic94C2311yescharacteristic
340#13093989C2311yescharacteristic
341C4×D188—21no—
342C4×D188C2311yescharacteristic
343C4×D188C2311yescharacteristic
344D4×Dic47—21no—
345D4×Dic47—21no—
346D4×Dic47—21no—
347D4×Dic47—21no—
348D4×Dic47C2311yescharacteristic
349D4×Dic47C2311yescharacteristic
350D4×Dic47C2311yescharacteristic
351D4×Dic47C2311yescharacteristic
352D4×Dic47C2311yescharacteristic
353D4×Dic47C2311yescharacteristic
354#13093986C2311yescharacteristic
355#13093986C2311yescharacteristic
356C4×C22⋊D47—21no—
357C4×C22⋊D47—21no—
358C4×C22⋊D47C2311yescharacteristic
359C4×C22⋊D47C2311yescharacteristic
360(C22⋊D47)⋊C4—21no—
361(C22⋊D47)⋊C4—21no—
362(C22⋊D47)⋊C4—21no—
363(C22⋊D47)⋊C4—21no—
364(C22⋊D47)⋊C4—21no—
365(C22⋊D47)⋊C4—21no—
366(C22⋊D47)⋊C4—21no—
367(C22⋊D47)⋊C4—21no—
368#13093983—21no—
369#13093983C2311yescharacteristic
370#13093983C2311yescharacteristic
371#13093983C2311yescharacteristic
372#13093982—21no—
373#13093981—21no—
374#13093981—21no—
375#13093980—21no—
376C2×C4⋊Dic47—21no—
377C2×C4⋊Dic47C2311yescharacteristic
378C2×Dic47⋊C4—21no—
379C2×Dic47⋊C4—21no—
380C4⋊C4×D47C2311yescharacteristic
381C2×C22⋊Dic47—21no—
382C2×C22⋊Dic47—21no—
383C2×(C2×D47)⋊C4—21no—
384C22⋊C4×D47—21no—
385C22⋊C4×D47—21no—
386C22⋊C4×D47—21no—
387C42×D47C2311yescharacteristic
388#13093958C2311yescharacteristic
389#13093958C2311yescharacteristic
390#13093957C2311yescharacteristic
391#13093957C2311yescharacteristic
392#13093956C2311yescharacteristic
393#13093955C2311yescharacteristic
394#13093955C2311yescharacteristic
395C4⋊(C47⋊C8)C2311yescharacteristic
396Dic47⋊C8C2311yescharacteristic
397Dic47⋊C8C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399Dic47⋊C8C2311yescharacteristic
400Dic47⋊C8C2311yescharacteristic
401Dic47⋊C8C2311yescharacteristic
402Dic47⋊C8C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404#13093949C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093948C2311yescharacteristic
408#13093948C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093947C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430C22⋊(C47⋊C8)C2311yescharacteristic
431C22⋊(C47⋊C8)C2311yescharacteristic
432(C2×D47)⋊C8C2311yescharacteristic
433(C2×D47)⋊C8C2311yescharacteristic
434#13093934C2311yescharacteristic
435#13093934C2311yescharacteristic
436C4×C47⋊C8C2311yescharacteristic
437C8×Dic47C2311yescharacteristic
438C8×Dic47C2311yescharacteristic
439C2×#41×C47C2311yescharacteristic
440C2×#41×C47C2311yescharacteristic
441C22×Q8×C47C2311yescharacteristic
442C22×D4×C47C2311yescharacteristic
443#135×C47—42no—
444C2×Q16×C47C2311yescharacteristic
445C2×Q16×C47C2311yescharacteristic
446C2×SD16×C47—42no—
447C2×SD16×C47C2311yescharacteristic
448C2×SD16×C47C2311yescharacteristic
449C2×SD16×C47C2311yescharacteristic
450C2×SD16×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×D8×C47C2311yescharacteristic
453C2×D8×C47C2311yescharacteristic
454C22×C8×C47C2311yescharacteristic
455C22×C8×C47C2311yescharacteristic
456#124×C47—21no—
457#124×C47C2311yescharacteristic
458#124×C47C2311yescharacteristic
459#123×C47—21no—
460C22⋊Q8×C47—21no—
461C22⋊Q8×C47C2311yescharacteristic
462C22⋊Q8×C47C2311yescharacteristic
463#121×C47—21no—
464#121×C47—21no—
465#121×C47C2311yescharacteristic
466#121×C47C2311yescharacteristic
467#120×C47—21no—
468C4×Q8×C47C2311yescharacteristic
469C4×D4×C47—21no—
470C4×D4×C47C2311yescharacteristic
471C4×D4×C47C2311yescharacteristic
472C2×C22⋊C4×C47—21no—
473#106×C47C2311yescharacteristic
474C4⋊C8×C47C2311yescharacteristic
475#103×C47C2311yescharacteristic
476#103×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481C22⋊C8×C47C2311yescharacteristic
482C22⋊C8×C47C2311yescharacteristic
483C4×C8×C47C2311yescharacteristic
484C24×C47—21no—
485C23×D47—21no—
486C23×D47—21no—
487#41×C47—22no—
488#41×C47—41no—
489#41×C47—41no—
490#41×C47—41no—
491C2×Q8×C47—21no—
492C2×Q8×C47—41no—
493C2×Q8×C47—41no—
494C2×Q8×C47C2411yescharacteristic
495C2×Q8×C47C2411yescharacteristic
496C2×Q8×C47C2411yescharacteristic
497C2×D4×C47—22no—
498C2×D4×C47—21no—
499C2×D4×C47—21no—
500C2×D4×C47—21no—
501C2×D4×C47—21no—
502C2×D4×C47—21no—
503C2×D4×C47—41no—
504C2×D4×C47C2×D411yescharacteristic
505C2×D4×C47C2411yescharacteristic
506C2×D4×C47C2411yescharacteristic
507C2×D4×C47C2411yescharacteristic
508C22×C4×C47—21no—
509C22×C4×C47—21no—
510C22×C4×C47—21no—
511C22×C4×C47—21no—
512C22×C4×C47C2411yescharacteristic
513C22×C4×C47C2411yescharacteristic
514C2×C22⋊D47—21no—
515C2×C22⋊D47—21no—
516C2×C22⋊D47—21no—
517C2×C22⋊D47—21no—
518C2×C22⋊D47—21no—
519C2×C22⋊D47—21no—
520C2×C22⋊D47—21no—
521C2×C22⋊D47—21no—
522C2×C22⋊D47—21no—
523C2×C22⋊D47—21no—
524C2×C22⋊D47—21no—
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—82no—
528C2×C22⋊D47C2×D411yescharacteristic
529C2×C22⋊D47C2×D411yescharacteristic
530C22×Dic47—21no—
531C22×Dic47—21no—
532C22×Dic47—21no—
533C22×Dic47—21no—
534C22×Dic47—21no—
535C22×Dic47—21no—
536C22×Dic47—21no—
537C22×Dic47—21no—
538#10625354—41no—
539#10625354—41no—
540#10625352—41no—
541#10625352—41no—
542#10625352—82no—
543D4×D47—22no—
544D4×D47—41no—
545#10625350—41no—
546#10625350—41no—
547C2×D188—21no—
548C2×D188—21no—
549C2×D188—21no—
550C2×D188—41no—
551C2×D188—41no—
552C2×D188C2411yescharacteristic
553C2×D188C2411yescharacteristic
554C2×D188C2411yescharacteristic
555C2×C4×D47—21no—
556C2×C4×D47—21no—
557C2×C4×D47—21no—
558C2×C4×D47—21no—
559C2×C4×D47—21no—
560C2×C4×D47—21no—
561C2×C4×D47—21no—
562C2×C4×D47—82no—
563C2×C4×D47C2×D411yescharacteristic
564C2×C4×D47C2×D411yescharacteristic
565C2×C4×D47C2411yescharacteristic
566C2×Dic94—21no—
567C2×Dic94C2×D411yescharacteristic
568C2×Dic94C2411yescharacteristic
569Q16×C47—41no—
570Q16×C47—41no—
571SD16×C47—22no—
572SD16×C47—22no—
573SD16×C47—41no—
574SD16×C47—41no—
575SD16×C47—41no—
576D8×C47—22no—
577D8×C47—41no—
578C2×C8×C47—41no—
579C2×C8×C47—41no—
580C2×C8×C47C2411yescharacteristic
581C2×C8×C47C2411yescharacteristic
582C2×C8×C47C2411yescharacteristic
583C2×C8×C47C2411yescharacteristic
584C4⋊C4×C47—21no—
585C4⋊C4×C47—21no—
586C4⋊C4×C47—21no—
587C4⋊C4×C47C2×D411yescharacteristic
588C4⋊C4×C47C2411yescharacteristic
589C4⋊C4×C47C2411yescharacteristic
590C22⋊C4×C47—21no—
591C22⋊C4×C47—21no—
592C22⋊C4×C47—21no—
593C22⋊C4×C47—21no—
594C22⋊C4×C47—21no—
595C22⋊C4×C47—21no—
596C22⋊C4×C47—21no—
597C22⋊C4×C47—21no—
598C22⋊C4×C47—21no—
599C22⋊C4×C47C2×D411yescharacteristic
600C22⋊C4×C47C2×D411yescharacteristic
601C42×C47—21no—
602C42×C47C2411yescharacteristic
603C22⋊Dic47—21no—
604C22⋊Dic47—21no—
605C22⋊Dic47—21no—
606C22⋊Dic47—21no—
607C22⋊Dic47—21no—
608C22⋊Dic47—21no—
609C22⋊Dic47—21no—
610C22⋊Dic47—21no—
611C22⋊Dic47—21no—
612C22⋊Dic47C2×D411yescharacteristic
613C22⋊Dic47C2×D411yescharacteristic
614C22⋊Dic47C2×D411yescharacteristic
615C22⋊Dic47C2×D411yescharacteristic
616C22⋊Dic47C2×D411yescharacteristic
617C22⋊Dic47C2×D411yescharacteristic
618#10625337—41no—
619#10625336—41no—
620#10625336—41no—
621#10625336—41no—
622#10625336—41no—
623#10625335—22no—
624#10625335—41no—
625#10625334—22no—
626#10625334—22no—
627#10625334—41no—
628#10625334—41no—
629#10625334—41no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4—21no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4—21no—
638(C2×D47)⋊C4—21no—
639(C2×D47)⋊C4—21no—
640(C2×D47)⋊C4—21no—
641(C2×D47)⋊C4—21no—
642(C2×D47)⋊C4—21no—
643(C2×D47)⋊C4—21no—
644(C2×D47)⋊C4—21no—
645(C2×D47)⋊C4—21no—
646(C2×D47)⋊C4—21no—
647(C2×D47)⋊C4—21no—
648(C2×D47)⋊C4—21no—
649(C2×D47)⋊C4—21no—
650(C2×D47)⋊C4C2×D411yescharacteristic
651(C2×D47)⋊C4C2×D411yescharacteristic
652C4⋊Dic47—21no—
653C4⋊Dic47—21no—
654C4⋊Dic47—21no—
655C4⋊Dic47—21no—
656C4⋊Dic47—21no—
657C4⋊Dic47—21no—
658C4⋊Dic47C2×D411yescharacteristic
659C4⋊Dic47C2×D411yescharacteristic
660C4⋊Dic47C2×D411yescharacteristic
661C4⋊Dic47C2×D411yescharacteristic
662C4⋊Dic47C2×D411yescharacteristic
663C4⋊Dic47C2411yescharacteristic
664C4⋊Dic47C2411yescharacteristic
665C4⋊Dic47C2411yescharacteristic
666C4⋊Dic47C2411yescharacteristic
667Dic47⋊C4—21no—
668Dic47⋊C4—21no—
669Dic47⋊C4—21no—
670Dic47⋊C4—21no—
671Dic47⋊C4—21no—
672Dic47⋊C4—21no—
673Dic47⋊C4—21no—
674Dic47⋊C4—21no—
675Dic47⋊C4—21no—
676Dic47⋊C4—21no—
677Dic47⋊C4—21no—
678Dic47⋊C4—21no—
679Dic47⋊C4—21no—
680Dic47⋊C4—21no—
681Dic47⋊C4C2×D411yescharacteristic
682Dic47⋊C4C2×D411yescharacteristic
683Dic47⋊C4C2×D411yescharacteristic
684Dic47⋊C4C2×D411yescharacteristic
685C4×Dic47—21no—
686C4×Dic47—21no—
687C4×Dic47—21no—
688C4×Dic47—21no—
689C4×Dic47—21no—
690C4×Dic47C2×D411yescharacteristic
691C4×Dic47C2×D411yescharacteristic
692C4×Dic47C2411yescharacteristic
693C4×Dic47C2411yescharacteristic
694C4×Dic47C2411yescharacteristic
695#10625329—41no—
696#10625329—41no—
697C2×C47⋊C8C2411yescharacteristic
698C2×C47⋊C8C2411yescharacteristic
699C2×C47⋊C8C2411yescharacteristic
700C2×C47⋊C8C2411yescharacteristic
701D376—41no—
702D376—41no—
703#10625325—41no—
704#10625324—41no—
705#10625324—41no—
706C23×C47—21no—
707C23×C47—21no—
708C23×C47—21no—
709C23×C47—42no—
710C23×C47—81no—
711C23×C47—81no—
712C23×C47C22×D411yescharacteristic
713C23×C47C22×D411yescharacteristic
714C22×D47—21no—
715C22×D47—21no—
716C22×D47—21no—
717C22×D47—42no—
718C22×D47—42no—
719C22×D47—81no—
720C22×D47—81no—
721C22×D47—81no—
722C22×D47—81no—
723C22×D47C22×D411yescharacteristic
724Q8×C47—21no—
725Q8×C47—21no—
726Q8×C47—21no—
727Q8×C47—21no—
728Q8×C47—21no—
729Q8×C47—21no—
730Q8×C47—81no—
731D4×C47—21no—
732D4×C47—21no—
733D4×C47—21no—
734D4×C47—21no—
735D4×C47—21no—
736D4×C47—41no—
737D4×C47—42no—
738D4×C47—42no—
739D4×C47—81no—
740D4×C47—81no—
741D4×C47—81no—
742D4×C47H(5,𝔽2)12yes—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—21no—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—21no—
749C2×C4×C47—21no—
750C2×C4×C47—21no—
751C2×C4×C47—21no—
752C2×C4×C47—42no—
753C2×C4×C47—81no—
754C2×C4×C47—81no—
755C2×C4×C47—81no—
756C2×C4×C47C22×D411yescharacteristic
757C2×C4×C47C22×D411yescharacteristic
758C2×C4×C47C22×D411yescharacteristic
759C2×C4×C47C22×D411yescharacteristic
760C2×C4×C47C2511yescharacteristic
761C22⋊D47—41no—
762C22⋊D47—41no—
763C22⋊D47—42no—
764C22⋊D47—42no—
765C22⋊D47—81no—
766C22⋊D47—81no—
767C22⋊D47—81no—
768C22⋊D47—81no—
769C22⋊D47—81no—
770C22⋊D47—81no—
771C22⋊D47—81no—
772C22⋊D47—81no—
773C22⋊D47—81no—
774C22⋊D47—81no—
775C22⋊D47—81no—
776C2×Dic47—21no—
777C2×Dic47—21no—
778C2×Dic47—21no—
779C2×Dic47—21no—
780C2×Dic47—21no—
781C2×Dic47—81no—
782C2×Dic47—81no—
783C2×Dic47—81no—
784C2×Dic47—81no—
785C2×Dic47—81no—
786C2×Dic47—81no—
787C2×Dic47—81no—
788C2×Dic47—81no—
789C2×Dic47C22×D411yescharacteristic
790C2×Dic47C22×D411yescharacteristic
791C2×Dic47C22×D411yescharacteristic
792C2×Dic47C22×D411yescharacteristic
793C2×Dic47C22×D411yescharacteristic
794C2×Dic47C22×D411yescharacteristic
795C2×Dic47C22×D411yescharacteristic
796D188—21no—
797D188—21no—
798D188—21no—
799D188—21no—
800D188—21no—
801D188—21no—
802D188—81no—
803D188—81no—
804D188—81no—
805C4×D47—21no—
806C4×D47—21no—
807C4×D47—41no—
808C4×D47—41no—
809C4×D47—42no—
810C4×D47—81no—
811C4×D47—81no—
812C4×D47—81no—
813C4×D47—81no—
814C4×D47—81no—
815C4×D47—81no—
816Dic94—21no—
817Dic94—21no—
818Dic94—41no—
819Dic94—81no—
820C8×C47—21no—
821C8×C47—21no—
822C8×C47—21no—
823C8×C47—21no—
824C47⋊C8—21no—
825C47⋊C8—21no—
826C47⋊C8—21no—
827C47⋊C8—21no—
828#62027—471nomaximal, Sylow
829C22×C47—21no—
830C22×C47—21no—
831C22×C47—21no—
832C22×C47—21no—
833C22×C47—22no—
834C22×C47—21no—
835C22×C47—21no—
836C22×C47—41no—
837C22×C47—41no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47—41no—
841C22×C47—41no—
842C22×C47—41no—
843C22×C47—41no—
844C22×C47—162no—
845C22×C47C23×D411yescharacteristic
846C2×D47—21no—
847C2×D47—21no—
848C2×D47—21no—
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—41no—
858C2×D47—84no—
859C2×D47—162no—
860C4×C47—21no—
861C4×C47—21no—
862C4×C47—21no—
863C4×C47—21no—
864C4×C47—41no—
865C4×C47—41no—
866C4×C47—41no—
867C4×C47—41no—
868C4×C47—41no—
869C4×C47C2×H(5,𝔽2)11yescharacteristic
870C4×C47#58511yescharacteristic
871Dic47—21no—
872Dic47—21no—
873Dic47—21no—
874Dic47—21no—
875Dic47—21no—
876Dic47—21no—
877Dic47—21no—
878Dic47—41no—
879Dic47—41no—
880Dic47—41no—
881Dic47—41no—
882Dic47—41no—
883#3562—471no—
884#3513—471no—
885#3401—471no—
886#3396—471no—
887#3370—471no—
888#3360—471no—
889#3330—471no—
890#3327—471no—
891#3326—471no—
892#3317—471no—
893#3306—471no—
894#3297—471no—
895#3282D4711yescharacteristic, complemented
896#3274—471no—
897#3273—471no—
898#3273—471no—
899#3267—471no—
900#3265—471no—
901#3260—471no—
902#3257—471no—
903#3256—471no—
904#3225—471no—
905#3220—471no—
906#3212—471no—
907#3122—471no—
908#3120—471no—
909#3105—471no—
910#3045—471no—
911#3042—471no—
912#3036—471no—
913#2993—471no—
914C2×C47—42no—
915C2×C47—41no—
916C2×C47—41no—
917C2×C47—81no—
918C2×C47—81no—
919C2×C47#348811yescharacteristic
920C2×C47#358411yescharacteristic
921C2×C47#358511yescharacteristic
922D47—41no—
923D47—81no—
924D47—81no—
925D47—81no—
926C2×AGL(1,ℤ/8)—471no—
927C2×AGL(1,ℤ/8)—471no—
928C2×AGL(1,ℤ/8)—471no—
929C2×AGL(1,ℤ/8)—471no—
930C2×#135C2×D4711yescharacteristic
931C22×SD16C2×D4711yescharacteristic, complemented
932#562—941no—
933#560—941no—
934#559—471no—
935#559—471no—
936#556—471no—
937#554—471no—
938#553—471no—
939#553—941no—
940#553—941no—
941#552—471no—
942#551—941no—
943#551—941no—
944#551—941no—
945#550—471no—
946#548—471no—
947#548C2×D4711yescharacteristic, complemented
948#547—471no—
949#547—471no—
950#546—471no—
951#546—471no—
952#546—471no—
953#546—941no—
954#546C2×D4711yescharacteristic
955D42—471no—
956#542—471no—
957#541—471no—
958#540—471no—
959#540—471no—
960#540—941no—
961#539—941no—
962#539—941no—
963#538—941no—
964#538—941no—
965#538—941no—
966#536—471no—
967#535—471no—
968#532—471no—
969#529—471no—
970#529—471no—
971#529—471no—
972#525—941no—
973C2×#123—941no—
974#520—471no—
975#518—471no—
976C2×C4×D4—471no—
977#497—471no—
978#496—471no—
979#495—471no—
980#495—471no—
981#495C2×D4711yescharacteristic, complemented
982#493—471no—
983#490—471no—
984#489—471no—
985#488—471no—
986#488—471no—
987#488—471no—
988#487—471no—
989#484—471no—
990#484—471no—
991#483—471no—
992#482—471no—
993#482—471no—
994#481—471no—
995#479—471no—
996#479—471no—
997#479—471no—
998#479—471no—
999#478—471no—
1000#478—471no—
1001#478—471no—
1002#478—471no—
1003#476—471no—
1004#474—471no—
1005#470—471no—
1006#469—471no—
1007#469—471no—
1008#468—471no—
1009#468—471no—
1010#468—471no—
1011#468—471no—
1012#468—471no—
1013#466—471no—
1014#465—471no—
1015#465C2×D4711yescharacteristic, complemented
1016#465C2×D4711yescharacteristic, complemented
1017#464—471no—
1018#464—471no—
1019#464C2×D4711yescharacteristic, complemented
1020#463—471no—
1021#463—471no—
1022#463—471no—
1023#463—471no—
1024#463—471no—
1025#463—471no—
1026#463—471no—
1027#463—471no—
1028#463—471no—
1029#463—471no—
1030#463—471no—
1031#463—471no—
1032#463C2×D4711yescharacteristic, complemented
1033#462—471no—
1034#461—471no—
1035#461—471no—
1036#461—471no—
1037#461—471no—
1038#461—471no—
1039#460—471no—
1040#460—471no—
1041#460—471no—
1042#460—471no—
1043#459—471no—
1044#459—471no—
1045#459—471no—
1046#459—471no—
1047#452—471no—
1048#452—471no—
1049#452—471no—
1050#452—471no—
1051#452C2×D4711yescharacteristic
1052#451C2×D4711yescharacteristic, complemented
1053#450—471no—
1054#449—471no—
1055#449—471no—
1056#449—471no—
1057#449—471no—
1058#449C2×D4711yescharacteristic, complemented
1059#448—471no—
1060#447—471no—
1061#447—471no—
1062#447—471no—
1063#447—471no—
1064#447C2×D4711yescharacteristic, complemented
1065#446—471no—
1066C8×Q8—471no—
1067#442—471no—
1068#442—471no—
1069#441—471no—
1070#440—471no—
1071C4×Q16—471no—
1072C4×SD16—471no—
1073C4×SD16—471no—
1074C4×SD16C2×D4711yescharacteristic, complemented
1075C4×D8—471no—
1076C4×D8—471no—
1077C4×D8—471no—
1078C4×D8—471no—
1079#436—471no—
1080#436—471no—
1081#436—471no—
1082#435—471no—
1083#435—471no—
1084C8×D4C2×D4711yescharacteristic, complemented
1085#433—471no—
1086#433—471no—
1087#431—471no—
1088#424—471no—
1089#424—471no—
1090#423—471no—
1091#419—471no—
1092#417—471no—
1093#417—471no—
1094#417—471no—
1095#416—471no—
1096C2×#102—471no—
1097C47#6202711yescharacteristic, complemented, Sylow
1098C2×#41—471no—
1099C2×#41—471no—
1100C2×#41—471no—
1101C2×#41—941no—
1102C2×#41C22×D4711yescharacteristic
1103C2×#41C22×D4711yescharacteristic
1104C22×Q8C22×D4711yescharacteristic
1105C22×D4—471no—
1106C22×D4—471no—
1107C22×D4—941no—
1108C22×D4C22×D4711yescharacteristic
1109C23×C4—941no—
1110AGL(1,ℤ/8)—1882no—
1111AGL(1,ℤ/8)—1882no—
1112AGL(1,ℤ/8)—1882no—
1113AGL(1,ℤ/8)—1882no—
1114#135—42no—
1115C2×Q16—471no—
1116C2×Q16C22×D4711yescharacteristic
1117C2×Q16C22×D4711yescharacteristic
1118C2×SD16—42no—
1119C2×SD16—471no—
1120C2×SD16—471no—
1121C2×SD16—471no—
1122C2×SD16—471no—
1123C2×SD16—471no—
1124C2×SD16—471no—
1125C2×SD16—471no—
1126C2×SD16C22×D4711yescharacteristic
1127C2×SD16C22×D4711yescharacteristic
1128C2×SD16C22×D4711yescharacteristic
1129C2×SD16C22×D4711yescharacteristic
1130C2×SD16C22×D4711yescharacteristic
1131C2×D8—471no—
1132C2×D8—471no—
1133C2×D8—471no—
1134C2×D8—471no—
1135C2×D8—471no—
1136C2×D8—471no—
1137C2×D8—471no—
1138C2×D8C22×D4711yescharacteristic
1139C2×D8C22×D4711yescharacteristic
1140C2×M16—471no—
1141C2×M16—471no—
1142C2×M16—471no—
1143C2×M16—471no—
1144C22×C8C22×D4711yescharacteristic
1145C22×C8C22×D4711yescharacteristic
1146C4⋊Q8—471no—
1147C4⋊Q8—471no—
1148C4⋊Q8—471no—
1149#127—471no—
1150#127—471no—
1151#127—471no—
1152#127—941no—
1153#126—471no—
1154#126—471no—
1155#126—941no—
1156#126—941no—
1157#126—941no—
1158#126—941no—
1159#126—941no—
1160#126—941no—
1161#126—941no—
1162#126—941no—
1163#126—941no—
1164#125—471no—
1165#125—471no—
1166#125—471no—
1167#125—471no—
1168#125—941no—
1169#125—941no—
1170#125—941no—
1171#124—21no—
1172#124—471no—
1173#124—471no—
1174#124—471no—
1175#124—471no—
1176#124—471no—
1177#124—471no—
1178#124—941no—
1179#124—941no—
1180#124—941no—
1181#124—941no—
1182#124C22×D4711yescharacteristic
1183#124C22×D4711yescharacteristic
1184#123—21no—
1185#123—471no—
1186#123—471no—
1187#123—941no—
1188#123—941no—
1189#123—941no—
1190#123—941no—
1191#123—941no—
1192#123—941no—
1193#123—941no—
1194#123—941no—
1195#123—941no—
1196#123—941no—
1197#123—941no—
1198#123—941no—
1199#123—941no—
1200#123—941no—
1201#123—941no—
1202#123—941no—
1203#123—941no—
1204#123—941no—
1205#123—941no—
1206#123—941no—
1207#123—941no—
1208#123—941no—
1209C22⋊Q8—21no—
1210C22⋊Q8—471no—
1211C22⋊Q8—471no—
1212C22⋊Q8—471no—
1213C22⋊Q8—471no—
1214C22⋊Q8—941no—
1215C22⋊Q8—941no—
1216C22⋊Q8—941no—
1217C22⋊Q8—941no—
1218C22⋊Q8—941no—
1219C22⋊Q8—941no—
1220C22⋊Q8—941no—
1221C22⋊Q8—941no—
1222C22⋊Q8—941no—
1223C22⋊Q8C22×D4711yescharacteristic
1224C22⋊Q8C22×D4711yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—471no—
1228#121—471no—
1229#121—471no—
1230#121—471no—
1231#121—471no—
1232#121—471no—
1233#121—941no—
1234#121—941no—
1235#121—941no—
1236#121—941no—
1237#121—941no—
1238#121—941no—
1239#121—941no—
1240#121—941no—
1241#121—941no—
1242#121—941no—
1243#121—941no—
1244#121—941no—
1245#121—941no—
1246#121—941no—
1247#121—941no—
1248#121—941no—
1249#121—941no—
1250#121C22×D4711yescharacteristic
1251#121C22×D4711yescharacteristic
1252#120—21no—
1253#120—941no—
1254#120—941no—
1255#120—941no—
1256#120—941no—
1257#120—941no—
1258#120—941no—
1259#120—941no—
1260C4×Q8—471no—
1261C4×Q8—471no—
1262C4×Q8—471no—
1263C4×Q8—471no—
1264C4×Q8—471no—
1265C4×Q8C22×D4711yescharacteristic
1266C4×D4—21no—
1267C4×D4—471no—
1268C4×D4—471no—
1269C4×D4—471no—
1270C4×D4—471no—
1271C4×D4—471no—
1272C4×D4—471no—
1273C4×D4—471no—
1274C4×D4—471no—
1275C4×D4—471no—
1276C4×D4—471no—
1277C4×D4—471no—
1278C4×D4—471no—
1279C4×D4—941no—
1280C4×D4—941no—
1281C4×D4—941no—
1282C4×D4—941no—
1283C4×D4—941no—
1284C4×D4—941no—
1285C4×D4—941no—
1286C4×D4—941no—
1287C4×D4—941no—
1288C4×D4—941no—
1289C4×D4—941no—
1290C4×D4—941no—
1291C4×D4—941no—
1292C4×D4—941no—
1293C4×D4—941no—
1294C4×D4C22×D4711yescharacteristic
1295C4×D4C22×D4711yescharacteristic
1296#117—471no—
1297#117—471no—
1298#117—471no—
1299#117—941no—
1300#117—941no—
1301#117—941no—
1302#117—941no—
1303#117—941no—
1304C2×C4⋊C4—471no—
1305C2×C4⋊C4—471no—
1306C2×C4⋊C4—941no—
1307C2×C4⋊C4—941no—
1308C2×C4⋊C4—941no—
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—941no—
1311C2×C22⋊C4—941no—
1312C2×C22⋊C4—941no—
1313C2×C22⋊C4—941no—
1314C2×C22⋊C4—941no—
1315C2×C22⋊C4—941no—
1316C2×C42—471no—
1317#107—471no—
1318#107—471no—
1319#107—471no—
1320#107—471no—
1321#106—471no—
1322#106—471no—
1323#106—471no—
1324#106C22×D4711yescharacteristic
1325C4⋊C8—471no—
1326C4⋊C8—471no—
1327C4⋊C8—471no—
1328C4⋊C8—471no—
1329C4⋊C8—471no—
1330C4⋊C8—471no—
1331C4⋊C8—471no—
1332C4⋊C8—471no—
1333C4⋊C8—471no—
1334C4⋊C8C22×D4711yescharacteristic
1335#103—471no—
1336#103—471no—
1337#103—471no—
1338#103—471no—
1339#103—471no—
1340#103—471no—
1341#103—471no—
1342#103—471no—
1343#103—471no—
1344#103—471no—
1345#103—471no—
1346#103C22×D4711yescharacteristic
1347#103C22×D4711yescharacteristic
1348#103C22×D4711yescharacteristic
1349#102—471no—
1350#102—471no—
1351#102—471no—
1352#102—471no—
1353#102—471no—
1354#102—471no—
1355#102—471no—
1356#102—471no—
1357#102—471no—
1358#102—471no—
1359#102—471no—
1360#102—471no—
1361#102—471no—
1362#102—471no—
1363#102—471no—
1364#102C22×D4711yescharacteristic
1365#102C22×D4711yescharacteristic
1366#102C22×D4711yescharacteristic
1367C22⋊C8—471no—
1368C22⋊C8—471no—
1369C22⋊C8—471no—
1370C22⋊C8—471no—
1371C22⋊C8C22×D4711yescharacteristic
1372C22⋊C8C22×D4711yescharacteristic
1373#97—471no—
1374#97—471no—
1375C4×C8—471no—
1376C4×C8—471no—
1377C4×C8—471no—
1378C4×C8C22×D4711yescharacteristic
1379C24—21no—
1380C24—941no—
1381C24—941no—
1382#41—22no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—3762no—
1387#41—1881no—
1388#41—1881no—
1389#41—1881no—
1390#41—1881no—
1391#41—1881no—
1392#41—1881no—
1393C2×Q8—21no—
1394C2×Q8—41no—
1395C2×Q8—41no—
1396C2×Q8—471no—
1397C2×Q8—471no—
1398C2×Q8—941no—
1399C2×Q8C23×D4711yescharacteristic
1400C2×Q8C23×D4711yescharacteristic
1401C2×Q8C23×D4711yescharacteristic
1402C2×D4—22no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—41no—
1409C2×D4—471no—
1410C2×D4—471no—
1411C2×D4—471no—
1412C2×D4—471no—
1413C2×D4—471no—
1414C2×D4—941no—
1415C2×D4—941no—
1416C2×D4—941no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—941no—
1423C2×D4—942no—
1424C2×D4—941no—
1425C2×D4—941no—
1426C2×D4—941no—
1427C2×D4—941no—
1428C2×D4—941no—
1429C2×D4—941no—
1430C2×D4—941no—
1431C2×D4—3762no—
1432C2×D4—1881no—
1433C2×D4—1881no—
1434C2×D4—1881no—
1435C2×D4D4×D4711yescharacteristic
1436C2×D4C23×D4711yescharacteristic
1437C2×D4C23×D4711yescharacteristic
1438C2×D4C23×D4711yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—471no—
1444C22×C4—471no—
1445C22×C4—471no—
1446C22×C4—941no—
1447C22×C4—941no—
1448C22×C4—941no—
1449C22×C4—941no—
1450C22×C4—941no—
1451C22×C4—941no—
1452C22×C4—941no—
1453C22×C4—941no—
1454C22×C4—941no—
1455C22×C4—941no—
1456C22×C4—941no—
1457C22×C4—941no—
1458C22×C4—941no—
1459C22×C4—941no—
1460C22×C4—941no—
1461C22×C4—3762no—
1462C22×C4C23×D4711yescharacteristic
1463C22×C4C23×D4711yescharacteristic
1464Q16—41no—
1465Q16—41no—
1466Q16—1881no—
1467SD16—22no—
1468SD16—22no—
1469SD16—41no—
1470SD16—41no—
1471SD16—41no—
1472SD16—942no—
1473SD16—1881no—
1474SD16—1881no—
1475SD16—1881no—
1476SD16—1881no—
1477SD16—1881no—
1478SD16—1881no—
1479D8—22no—
1480D8—41no—
1481D8—942no—
1482D8—942no—
1483D8—1881no—
1484D8—1881no—
1485D8—1881no—
1486D8—1881no—
1487D8—1881no—
1488M16—1881no—
1489M16—1881no—
1490M16—1881no—
1491M16—1881no—
1492C2×C8—41no—
1493C2×C8—41no—
1494C2×C8—471no—
1495C2×C8—471no—
1496C2×C8—471no—
1497C2×C8—471no—
1498C2×C8C23×D4711yescharacteristic
1499C2×C8C23×D4711yescharacteristic
1500C2×C8C23×D4711yescharacteristic
1501C2×C8C23×D4711yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—471no—
1506C4⋊C4—471no—
1507C4⋊C4—471no—
1508C4⋊C4—471no—
1509C4⋊C4—471no—
1510C4⋊C4—471no—
1511C4⋊C4—471no—
1512C4⋊C4—471no—
1513C4⋊C4—471no—
1514C4⋊C4—471no—
1515C4⋊C4—471no—
1516C4⋊C4—471no—
1517C4⋊C4—471no—
1518C4⋊C4—941no—
1519C4⋊C4—941no—
1520C4⋊C4—941no—
1521C4⋊C4—941no—
1522C4⋊C4—941no—
1523C4⋊C4—941no—
1524C4⋊C4—941no—
1525C4⋊C4—941no—
1526C4⋊C4—941no—
1527C4⋊C4—941no—
1528C4⋊C4—941no—
1529C4⋊C4—941no—
1530C4⋊C4—941no—
1531C4⋊C4—941no—
1532C4⋊C4—941no—
1533C4⋊C4—941no—
1534C4⋊C4—941no—
1535C4⋊C4—941no—
1536C4⋊C4—941no—
1537C4⋊C4—941no—
1538C4⋊C4D4×D4711yescharacteristic
1539C4⋊C4C23×D4711yescharacteristic
1540C4⋊C4C23×D4711yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—471no—
1551C22⋊C4—471no—
1552C22⋊C4—471no—
1553C22⋊C4—471no—
1554C22⋊C4—471no—
1555C22⋊C4—471no—
1556C22⋊C4—471no—
1557C22⋊C4—471no—
1558C22⋊C4—941no—
1559C22⋊C4—941no—
1560C22⋊C4—941no—
1561C22⋊C4—941no—
1562C22⋊C4—941no—
1563C22⋊C4—941no—
1564C22⋊C4—941no—
1565C22⋊C4—941no—
1566C22⋊C4—941no—
1567C22⋊C4—941no—
1568C22⋊C4—941no—
1569C22⋊C4—941no—
1570C22⋊C4—941no—
1571C22⋊C4—941no—
1572C22⋊C4—941no—
1573C22⋊C4—941no—
1574C22⋊C4—941no—
1575C22⋊C4—941no—
1576C22⋊C4—941no—
1577C22⋊C4—941no—
1578C22⋊C4—941no—
1579C22⋊C4—941no—
1580C22⋊C4—941no—
1581C22⋊C4—941no—
1582C22⋊C4—941no—
1583C22⋊C4—941no—
1584C22⋊C4—941no—
1585C22⋊C4—941no—
1586C22⋊C4—941no—
1587C22⋊C4D4×D4711yescharacteristic
1588C22⋊C4D4×D4711yescharacteristic
1589C42—21no—
1590C42—471no—
1591C42—471no—
1592C42—471no—
1593C42—471no—
1594C42—471no—
1595C42—941no—
1596C42—941no—
1597C42—941no—
1598C42—941no—
1599C42—941no—
1600C42C23×D4711yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—42no—
1605C23—81no—
1606C23—81no—
1607C23—471no—
1608C23—941no—
1609C23—941no—
1610C23—941no—
1611C23—3761no—
1612C23—3761no—
1613C23—3761no—
1614C23—3761no—
1615C23—1882no—
1616C23—1882no—
1617C23C2×D4×D4711yescharacteristic
1618C23C2×D4×D4711yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—81no—
1626Q8—941no—
1627Q8—941no—
1628Q8—3761no—
1629Q8—1881no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—41no—
1636D4—42no—
1637D4—42no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—941no—
1642D4—941no—
1643D4—941no—
1644D4—941no—
1645D4—941no—
1646D4—941no—
1647D4—3761no—
1648D4—3761no—
1649D4—3761no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—3761no—
1654D4—3761no—
1655D4—3761no—
1656D4—3761no—
1657D4—3761no—
1658D4—3761no—
1659D4—3761no—
1660D4—3761no—
1661D4—1881no—
1662D4—1881no—
1663D4—1882no—
1664D4—1882no—
1665D4#1309406912yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—42no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—471no—
1680C2×C4—471no—
1681C2×C4—471no—
1682C2×C4—471no—
1683C2×C4—471no—
1684C2×C4—471no—
1685C2×C4—471no—
1686C2×C4—941no—
1687C2×C4—941no—
1688C2×C4—941no—
1689C2×C4—941no—
1690C2×C4—941no—
1691C2×C4—941no—
1692C2×C4—941no—
1693C2×C4—3761no—
1694C2×C4—3761no—
1695C2×C4—3761no—
1696C2×C4—3761no—
1697C2×C4—3761no—
1698C2×C4—3761no—
1699C2×C4—3761no—
1700C2×C4—3761no—
1701C2×C4—3761no—
1702C2×C4—3761no—
1703C2×C4—3761no—
1704C2×C4—3761no—
1705C2×C4—3761no—
1706C2×C4—3761no—
1707C2×C4—1881no—
1708C2×C4—1881no—
1709C2×C4—1882no—
1710C2×C4C2×D4×D4711yescharacteristic
1711C2×C4C2×D4×D4711yescharacteristic
1712C2×C4C2×D4×D4711yescharacteristic
1713C2×C4C2×D4×D4711yescharacteristic
1714C2×C4C24×D4711yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—941no—
1720C8—941no—
1721C8—941no—
1722C8—941no—
1723C22—21no—
1724C22—21no—
1725C22—22no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—162no—
1739C22—941no—
1740C22—941no—
1741C22—941no—
1742C22—3764no—
1743C22—1881no—
1744C22—1881no—
1745C22—1881no—
1746C22—1881no—
1747C22—1881no—
1748C22—1881no—
1749C22—1881no—
1750C22—1881no—
1751C22—1881no—
1752C22—7522no—
1753C22C22×D4×D4711yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—941no—
1764C4—941no—
1765C4—941no—
1766C4—941no—
1767C4—941no—
1768C4—941no—
1769C4—941no—
1770C4—1881no—
1771C4—1881no—
1772C4—1881no—
1773C4—1881no—
1774C4—1881no—
1775C4C2×#1309406911yescharacteristic
1776C4#1568995811yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—42no—
1780C2—81no—
1781C2—81no—
1782C2—3761no—
1783C2—3761no—
1784C2—3761no—
1785C2—1881no—
1786C2#2025704811yescharacteristic
1787C2#2025815711yescharacteristic
1788C2#2025816611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3282C2
socleC22×C47C23×D4
hypercenter#3282D47
hypocenterC47#62027
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #20257979C2semidirect
2. #20257317C2semidirect
3. #20256458C2semidirect
4. #20256397C2semidirect
5. #20256145C2semidirect
6. #20256038C2semidirect
7. #20255686C2semidirect
8. #20255660C2semidirect
9. #20255641C2semidirect
10. #20255520C2semidirect
11. #20255355C2semidirect
12. #20255240C2semidirect
13. #20255006C2semidirect
14. #20254995C2semidirect
15. #20254992C2semidirect
16. #20254913C2semidirect
17. #20254883C2semidirect
18. #20254828C2semidirect
19. #20254802C2semidirect
20. #20254787C2semidirect
21. #20254503C2semidirect
22. #20254436C2semidirect
23. #20254359C2semidirect
24. #20253625C2semidirect
25. #20253603C2semidirect
26. #20253439C2semidirect
27. #20252925C2semidirect
28. #20252897C2semidirect
29. #20252850C2semidirect
30. #20252538C2semidirect
31. C47×#3282C2semidirect
35. C2×#13094048C22semidirect
38. #15689855C22semidirect
39. #15689855C22semidirect
40. #15689845C22semidirect
41. #15689832C22semidirect
45. #15689807C22semidirect
52. #15689772C22semidirect
53. #15689769C22semidirect
54. #15689764C22semidirect
57. D4×C22⋊D47C22semidirect
58. #15689746C22semidirect
59. #15689733C22semidirect
61. #15689726C22semidirect
68. #15689697C22semidirect
69. #15689687C22semidirect
70. #15689672C22semidirect
71. #15689660C22semidirect
73. #15689652C22semidirect
77. #15689598C22semidirect
78. C4×D4×D47C22semidirect
79. #15689516C22semidirect
81. #15689508C22semidirect
82. #15689505C22semidirect
84. #15689486C22semidirect
85. #15689484C22semidirect
86. #15689479C22semidirect
87. #15689478C22semidirect
88. #15689477C22semidirect
89. #15689472C22semidirect
90. #15689459C22semidirect
91. #15689457C22semidirect
92. #15689451C22semidirect
93. #15689448C22semidirect
94. #15689444C22semidirect
95. #15689443C22semidirect
96. #15689433C22semidirect
97. #15689432C22semidirect
98. #15689430C22semidirect
99. #15689428C22semidirect
100. #15689425C22semidirect
101. #15689424C22semidirect
102. #15689422C22semidirect
103. #15689421C22semidirect
104. #15689412C22semidirect
105. #15689401C22semidirect
106. #15689378C22semidirect
108. #15689374C22semidirect
109. #15689372C22semidirect
110. #15689371C22semidirect
111. #15689371C22semidirect
112. #15689367C22semidirect
113. #15689366C22semidirect
115. #15689352C22semidirect
116. #15689347C22semidirect
117. #15689347C22semidirect
118. #15689341C22semidirect
119. #15689341C22semidirect
123. #15689340C22semidirect
124. #15689340C22semidirect
125. #15689340C22semidirect
126. #15689339C22semidirect
128. #15689335C22semidirect
129. #15689335C22semidirect
130. #15689331C22semidirect
131. #15689327C22semidirect
132. #15689326C22semidirect
133. #15689326C22semidirect
134. #15689326C22semidirect
135. #15689326C22semidirect
136. #15689322C22semidirect
137. #15689321C22semidirect
138. #15689321C22semidirect
139. #15689321C22semidirect
140. #15689317C22semidirect
143. #15689316C22semidirect
145. #15689284C22semidirect
146. #15689283C22semidirect
147. #15689282C22semidirect
148. #15689272C22semidirect
150. #15689268C22semidirect
152. #15689265C22semidirect
153. #15689262C22semidirect
154. #15689259C22semidirect
157. #15689256C22semidirect
158. #15689250C22semidirect
159. C8×Dic94C22semidirect
160. #15689235C22semidirect
161. #15689232C22semidirect
162. #15689227C22semidirect
163. #15689224C22semidirect
164. Q16×Dic47C22semidirect
165. #15689214C22semidirect
166. C4×#10625336C22semidirect
167. C4×D376C22semidirect
168. D8×Dic47C22semidirect
171. #15689201C22semidirect
172. #15689198C22semidirect
173. #15689198C22semidirect
174. #15689194C22semidirect
175. #15689194C22semidirect
176. #15689181C22semidirect
177. #15689181C22semidirect
178. #15689174C22semidirect
179. #15689149C22semidirect
180. #15689149C22semidirect
181. #15689145C22semidirect
182. #15689132C22semidirect
183. #15689124C22semidirect
184. #15689123C22semidirect
185. #15689121C22semidirect
186. #15689120C22semidirect
187. C2×#13093946C22semidirect
189. C22×SD16×C47C22semidirect
190. C47×#548C22semidirect
192. C47×#495C22semidirect
193. C47×#465C22semidirect
194. C47×#465C22semidirect
195. C47×#464C22semidirect
196. C47×#463C22semidirect
198. C47×#451C22semidirect
199. C47×#449C22semidirect
200. C47×#447C22semidirect
201. C4×SD16×C47C22semidirect
202. C8×D4×C47C22semidirect
895. #3282D47semidirect
931. C22×SD16C2×D47semidirect
947. #548C2×D47semidirect
981. #495C2×D47semidirect
1015. #465C2×D47semidirect
1016. #465C2×D47semidirect
1019. #464C2×D47semidirect
1032. #463C2×D47semidirect
1052. #451C2×D47semidirect
1058. #449C2×D47semidirect
1064. #447C2×D47semidirect
1074. C4×SD16C2×D47semidirect
1084. C8×D4C2×D47semidirect
1097. C47#62027semidirect

Maximal subgroups

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

subgroupindex
#202579792
#202573172
#202564582
#202563972
#202561452
#202560382
#202556862
#202556602
#202556412
#202555202
#202553552
#202552402
#202550062
#202549952
#202549922
#202549132
#202548832
#202548282
#202548022
#202547872
#202545032
#202544362
#202543592
#202536252
#202536032
#202534392
#202529252
#202528972
#202528502
#202525382
C47×#32822
#6202747