Finite Group Databasebeta

← #27102532

Subgroups — #27102532

Order 12032.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257711C211yesmaximal, characteristic, complemented
2#20257056C211yesmaximal, characteristic, complemented
3#20255538C211yesmaximal, characteristic, complemented
4#20255412C211yesmaximal, characteristic, complemented
5#20255390C211yesmaximal, characteristic, complemented
6#20255376C211yesmaximal, characteristic, complemented
7#20255276C211yesmaximal, characteristic, complemented
8#20255241C211yesmaximal, characteristic, complemented
9#20255200C211yesmaximal, characteristic, complemented
10#20255141C211yesmaximal, characteristic, complemented
11#20255097C211yesmaximal, characteristic, complemented
12#20255075C211yesmaximal, characteristic, complemented
13#20255062C211yesmaximal, characteristic, complemented
14#20254929C211yesmaximal, characteristic, complemented
15#20254925C211yesmaximal, characteristic, complemented
16#20254886C211yesmaximal, characteristic, complemented
17#20254863C211yesmaximal, characteristic, complemented
18#20254485C211yesmaximal, characteristic, complemented
19#20254437C211yesmaximal, characteristic, complemented
20#20254284C211yesmaximal, characteristic, complemented
21#20254238C211yesmaximal, characteristic, complemented
22#20254157C211yesmaximal, characteristic, complemented
23#20254135C211yesmaximal, characteristic, complemented
24#20253657C211yesmaximal, characteristic, complemented
25#20253593C211yesmaximal, characteristic, complemented
26#20252690C211yesmaximal, characteristic, complemented
27#20252659C211yesmaximal, characteristic, complemented
28#20252608C211yesmaximal, characteristic, complemented
29#449×D47C211yesmaximal, characteristic, complemented
30#20252441C211yesmaximal, characteristic, complemented
31C47×#3305C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic, complemented
33C2×#41×D47C2211yescharacteristic, complemented
34C2×#13094049C2211yescharacteristic, complemented
35C2×#13094048C2211yescharacteristic, complemented
36C2×#13094046C2211yescharacteristic, complemented
37C2×#13094045C2211yescharacteristic, complemented
38C2×#13094044C2211yescharacteristic, complemented
39C2×SD16×D47C2211yescharacteristic, complemented
40C22×D376C2211yescharacteristic, complemented
41C2×D8×D47C2211yescharacteristic, complemented
42#15689867—21no—
43#15689861—21no—
44#15689817C2211yescharacteristic, complemented
45#15689812C2211yescharacteristic, complemented
46#15689797—21no—
47#15689792C2211yescharacteristic, complemented
48#15689791C2211yescharacteristic, complemented
49#15689785C2211yescharacteristic, complemented
50#15689780C2211yescharacteristic
51#15689776C2211yescharacteristic, complemented
52#15689770—21no—
53#15689770C2211yescharacteristic, complemented
54#15689769—21no—
55#15689769C2211yescharacteristic, complemented
56#15689769C2211yescharacteristic, complemented
57#15689768C2211yescharacteristic, complemented
58#15689766—21no—
59#15689758—21no—
60#15689758C2211yescharacteristic, complemented
61#15689757—21no—
62#15689757C2211yescharacteristic
63#15689757C2211yescharacteristic, complemented
64#15689747C2211yescharacteristic, complemented
65#15689728—21no—
66#15689724C2211yescharacteristic, complemented
67#15689707—21no—
68#15689702—21no—
69#15689702C2211yescharacteristic, complemented
70#15689702C2211yescharacteristic, complemented
71#15689692C2211yescharacteristic, complemented
72#15689691—21no—
73#15689686—21no—
74#15689686C2211yescharacteristic, complemented
75#15689681—21no—
76#15689635C2211yescharacteristic, complemented
77#15689632—21no—
78#15689632C2211yescharacteristic
79#121×D47—21no—
80#121×D47C2211yescharacteristic, complemented
81#121×D47C2211yescharacteristic, complemented
82#15689605C2211yescharacteristic, complemented
83#15689511C2211yescharacteristic, complemented
84#15689510C2211yescharacteristic, complemented
85#15689507C2211yescharacteristic, complemented
86#15689498C2211yescharacteristic, complemented
87#15689486C2211yescharacteristic, complemented
88#15689485C2211yescharacteristic, complemented
89#15689476C2211yescharacteristic, complemented
90#15689464C2211yescharacteristic, complemented
91#15689460C2211yescharacteristic, complemented
92#15689460C2211yescharacteristic, complemented
93#15689447C2211yescharacteristic, complemented
94#15689443C2211yescharacteristic, complemented
95#15689438C2211yescharacteristic, complemented
96#15689438C2211yescharacteristic, complemented
97#15689435C2211yescharacteristic, complemented
98#15689435C2211yescharacteristic, complemented
99#15689435C2211yescharacteristic, complemented
100#15689432C2211yescharacteristic, complemented
101#15689422C2211yescharacteristic, complemented
102#15689400C2211yescharacteristic, complemented
103#15689375C2211yescharacteristic, complemented
104#15689370C2211yescharacteristic, complemented
105#15689367C2211yescharacteristic, complemented
106#15689367C2211yescharacteristic, complemented
107#15689364C2211yescharacteristic, complemented
108#15689360C2211yescharacteristic, complemented
109#15689359C2211yescharacteristic, complemented
110#15689358C2211yescharacteristic, complemented
111#15689358C2211yescharacteristic, complemented
112#15689357C2211yescharacteristic, complemented
113#15689357C2211yescharacteristic, complemented
114#15689353C2211yescharacteristic, complemented
115#15689353C2211yescharacteristic, complemented
116#15689351C2211yescharacteristic, complemented
117#15689345C2211yescharacteristic, complemented
118#15689344C2211yescharacteristic, complemented
119#15689339C2211yescharacteristic, complemented
120#15689339C2211yescharacteristic, complemented
121#15689338C2211yescharacteristic, complemented
122#15689337C2211yescharacteristic, complemented
123#15689322C2211yescharacteristic, complemented
124#15689321C2211yescharacteristic, complemented
125#15689317C2211yescharacteristic, complemented
126#15689317C2211yescharacteristic, complemented
127#15689315C2211yescharacteristic, complemented
128#15689288C2211yescharacteristic, complemented
129#15689286C2211yescharacteristic, complemented
130#15689286C2211yescharacteristic, complemented
131#15689285C2211yescharacteristic, complemented
132#15689280C2211yescharacteristic, complemented
133#15689276C2211yescharacteristic, complemented
134#15689276C2211yescharacteristic, complemented
135#15689275C2211yescharacteristic, complemented
136#15689275C2211yescharacteristic, complemented
137#15689271C2211yescharacteristic
138#15689271C2211yescharacteristic, complemented
139#15689271C2211yescharacteristic, complemented
140#15689271C2211yescharacteristic, complemented
141#15689270C2211yescharacteristic, complemented
142#15689270C2211yescharacteristic, complemented
143#15689269C2211yescharacteristic, complemented
144#15689269C2211yescharacteristic, complemented
145#15689268C2211yescharacteristic, complemented
146#15689267C2211yescharacteristic, complemented
147#15689266C2211yescharacteristic, complemented
148#15689266C2211yescharacteristic, complemented
149#15689265C2211yescharacteristic, complemented
150#15689265C2211yescharacteristic, complemented
151#15689263C2211yescharacteristic, complemented
152#15689258C2211yescharacteristic, complemented
153#15689258C2211yescharacteristic, complemented
154#15689258C2211yescharacteristic, complemented
155#15689258C2211yescharacteristic, complemented
156#15689258C2211yescharacteristic, complemented
157#15689258C2211yescharacteristic, complemented
158#15689256C2211yescharacteristic, complemented
159#15689256C2211yescharacteristic, complemented
160#15689255C2211yescharacteristic, complemented
161#15689255C2211yescharacteristic, complemented
162#15689233C2211yescharacteristic, complemented
163#15689226C2211yescharacteristic, complemented
164#15689222C2211yescharacteristic, complemented
165#15689221C2211yescharacteristic, complemented
166#15689215C2211yescharacteristic, complemented
167C4×D376C2211yescharacteristic, complemented
168#15689205C2211yescharacteristic, complemented
169#15689197C2211yescharacteristic, complemented
170#15689195C2211yescharacteristic, complemented
171#15689194C2211yescharacteristic, complemented
172#15689193C2211yescharacteristic, complemented
173C8×D188C2211yescharacteristic, complemented
174C8×C22⋊D47C2211yescharacteristic, complemented
175(C22⋊D47)⋊C8C2211yescharacteristic, complemented
176#15689183C2211yescharacteristic, complemented
177#15689182C2211yescharacteristic, complemented
178#15689127C2211yescharacteristic, complemented
179#15689123C2211yescharacteristic, complemented
180#15689117C2211yescharacteristic, complemented
181#103×D47C2211yescharacteristic, complemented
182#102×D47C2211yescharacteristic, complemented
183#102×D47C2211yescharacteristic, complemented
184#15689089C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C47×#555C2211yescharacteristic, complemented
189C47×#550C2211yescharacteristic, complemented
190C47×#486C2211yescharacteristic, complemented
191C47×#482C2211yescharacteristic, complemented
192C47×#482C2211yescharacteristic, complemented
193C47×#477C2211yescharacteristic, complemented
194C47×#466C2211yescharacteristic, complemented
195C47×#466C2211yescharacteristic, complemented
196C47×#459C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic, complemented
198C47×#449C2211yescharacteristic, complemented
199C4×SD16×C47C2211yescharacteristic, complemented
200C8×D4×C47C2211yescharacteristic, complemented
201C47×#416C2211yescharacteristic, complemented
202C47×#416C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205C2×#10625354—21no—
206C2×#10625354C2311yescharacteristic
207C2×#10625354C2311yescharacteristic
208C2×#10625350—21no—
209C2×#10625350—21no—
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625352—21no—
214C2×#10625352C2311yescharacteristic
215C2×#10625352C2311yescharacteristic
216#41×D47—42no—
217#41×D47—42no—
218C2×Q8×D47C2311yescharacteristic
219C22×D188—21no—
220C22×D188C2311yescharacteristic
221C22×D188C2311yescharacteristic
222C2×D4×D47—21no—
223C2×D4×D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47—21no—
228C2×D4×D47—21no—
229C2×D4×D47—21no—
230C2×D4×D47C2311yescharacteristic
231C2×D4×D47C2311yescharacteristic
232C2×D4×D47C2311yescharacteristic
233C2×D4×D47C2311yescharacteristic
234C22×C4×D47—21no—
235C22×C4×D47C2311yescharacteristic
236#13094049—42no—
237#13094048—42no—
238#13094046—42no—
239#13094045—42no—
240#13094044—42no—
241C2×Dic188C2311yescharacteristic
242C2×#10625337C2311yescharacteristic
243C2×#10625325C2311yescharacteristic
244C2×#10625325C2311yescharacteristic
245C2×#10625325C2311yescharacteristic
246C2×#10625325C2311yescharacteristic
247C2×#10625335C2311yescharacteristic
248C2×#10625335C2311yescharacteristic
249C2×#10625335C2311yescharacteristic
250C2×#10625336C2311yescharacteristic
251C2×#10625336C2311yescharacteristic
252SD16×D47—42no—
253C2×D376—42no—
254C2×D376C2311yescharacteristic
255C2×D376C2311yescharacteristic
256C2×D376C2311yescharacteristic
257C2×D376C2311yescharacteristic
258C2×#10625334C2311yescharacteristic
259C2×#10625334C2311yescharacteristic
260C2×#10625334C2311yescharacteristic
261C2×#10625334C2311yescharacteristic
262C2×#10625334C2311yescharacteristic
263C2×#10625334C2311yescharacteristic
264D8×D47—42no—
265C2×#10625329C2311yescharacteristic
266C2×#10625324C2311yescharacteristic
267C22×C47⋊C8C2311yescharacteristic
268C2×C8×D47C2311yescharacteristic
269C2×C8×D47C2311yescharacteristic
270C2×C8×D47C2311yescharacteristic
271#13094021—21no—
272#13094020—21no—
273#13094020—21no—
274#13094020C2311yescharacteristic
275#13094020C2311yescharacteristic
276#13094019—21no—
277#13094018—21no—
278#13094017—21no—
279#13094016—21no—
280#13094015C2311yescharacteristic
281#13094013—21no—
282#13094012—21no—
283#13094012—21no—
284#13094012C2311yescharacteristic
285#13094012C2311yescharacteristic
286#13094011—21no—
287#13094011C2311yescharacteristic
288#13094009—21no—
289#13094009—21no—
290#13094009—21no—
291#13094009—21no—
292#13094009—21no—
293#13094009D411yescharacteristic
294#13094008—21no—
295#13094008—21no—
296#13094007—21no—
297#13094006—21no—
298#13094006—21no—
299#13094006—21no—
300#13094006—21no—
301#13094006D411yescharacteristic
302#13094004—21no—
303#13094004C2311yescharacteristic
304#13094004C2311yescharacteristic
305#13094004C2311yescharacteristic
306#13094003—21no—
307#13094003C2311yescharacteristic
308#13094003C2311yescharacteristic
309#13094002D411yescharacteristic
310#13094001—21no—
311#13094001—21no—
312#13094001D411yescharacteristic
313#13094000—21no—
314#13094000—21no—
315#13093999—21no—
316#13093999C2311yescharacteristic
317#13093999C2311yescharacteristic
318#13093999C2311yescharacteristic
319#13093999C2311yescharacteristic
320#13093999C2311yescharacteristic
321#13093999C2311yescharacteristic
322#13093998—21no—
323#13093998—21no—
324#13093998—21no—
325#13093998C2311yescharacteristic
326#13093998C2311yescharacteristic
327#13093997—21no—
328#13093997—21no—
329#13093997—21no—
330#13093997—21no—
331#13093997—21no—
332#13093997—21no—
333#13093997—21no—
334#13093997—21no—
335#13093997—21no—
336#13093997—21no—
337#13093997—21no—
338#13093997D411yescharacteristic
339#13093996—21no—
340#13093996—21no—
341#13093996—21no—
342#13093996—21no—
343#13093996—21no—
344#13093996—21no—
345#13093996—21no—
346#13093996D411yescharacteristic
347#13093995—21no—
348#13093995—21no—
349#13093995—21no—
350#13093995—21no—
351#13093995—21no—
352#13093995—21no—
353#13093995C2311yescharacteristic
354#13093995C2311yescharacteristic
355#13093995C2311yescharacteristic
356#13093994—21no—
357#13093994—21no—
358#13093994—21no—
359#13093994—21no—
360#13093994—21no—
361#13093994—21no—
362#13093994D411yescharacteristic
363#13093992—21no—
364#13093992—21no—
365#13093992—21no—
366#13093992—21no—
367#13093992—21no—
368#13093992—21no—
369#13093992—21no—
370#13093992—21no—
371#13093992—21no—
372#13093992D411yescharacteristic
373Q8×Dic47C2311yescharacteristic
374#13093989C2311yescharacteristic
375C4×D188—21no—
376C4×D188—21no—
377C4×D188—21no—
378C4×D188—21no—
379C4×D188—21no—
380C4×D188C2311yescharacteristic
381C4×D188C2311yescharacteristic
382C4×D188C2311yescharacteristic
383#13093986—21no—
384#13093986C2311yescharacteristic
385#13093986C2311yescharacteristic
386C4×C22⋊D47—21no—
387C4×C22⋊D47—21no—
388C4×C22⋊D47C2311yescharacteristic
389C4×C22⋊D47C2311yescharacteristic
390(C22⋊D47)⋊C4—21no—
391#13093981—21no—
392#13093981—21no—
393#13093981C2311yescharacteristic
394C4⋊C4×D47—21no—
395C4⋊C4×D47C2311yescharacteristic
396C4⋊C4×D47C2311yescharacteristic
397C4⋊C4×D47C2311yescharacteristic
398C2×(C2×D47)⋊C4—21no—
399C22⋊C4×D47—21no—
400C22⋊C4×D47—21no—
401C22⋊C4×D47—21no—
402C22⋊C4×D47—21no—
403C22⋊C4×D47—21no—
404#13093958C2311yescharacteristic
405#13093957C2311yescharacteristic
406#13093957C2311yescharacteristic
407#13093957C2311yescharacteristic
408#13093955C2311yescharacteristic
409C4⋊(C47⋊C8)C2311yescharacteristic
410Dic47⋊C8C2311yescharacteristic
411Dic47⋊C8C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093949C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093944C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433#13093944C2311yescharacteristic
434C22⋊(C47⋊C8)C2311yescharacteristic
435C22⋊(C47⋊C8)C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442(C2×D47)⋊C8C2311yescharacteristic
443(C2×D47)⋊C8C2311yescharacteristic
444#13093935C2311yescharacteristic
445#13093934C2311yescharacteristic
446C8×Dic47C2311yescharacteristic
447C2×#41×C47C2311yescharacteristic
448C2×#41×C47C2311yescharacteristic
449C2×SD16×C47C2311yescharacteristic
450C2×D8×C47C2311yescharacteristic
451C2×D8×C47C2311yescharacteristic
452C22×C8×C47C2311yescharacteristic
453C22×C8×C47C2311yescharacteristic
454C4⋊Q8×C47C2311yescharacteristic
455#127×C47—21no—
456#127×C47C2311yescharacteristic
457#124×C47—21no—
458#124×C47—21no—
459#121×C47—21no—
460#121×C47—21no—
461#121×C47—21no—
462#121×C47C2311yescharacteristic
463#121×C47C2311yescharacteristic
464#121×C47C2311yescharacteristic
465#121×C47C2311yescharacteristic
466C4×Q8×C47C2311yescharacteristic
467C4×D4×C47—21no—
468C4×D4×C47C2311yescharacteristic
469C4×D4×C47C2311yescharacteristic
470#117×C47—21no—
471#117×C47C2311yescharacteristic
472#117×C47C2311yescharacteristic
473#107×C47C2311yescharacteristic
474#107×C47C2311yescharacteristic
475#106×C47C2311yescharacteristic
476C4⋊C8×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486#102×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C4×C8×C47C2311yescharacteristic
490C23×D47—21no—
491C23×D47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47C2×D411yescharacteristic
497#41×C47—22no—
498#41×C47—22no—
499#41×C47—41no—
500#41×C47—41no—
501C2×Q8×C47—21no—
502C2×Q8×C47C2411yescharacteristic
503C2×D4×C47—21no—
504C2×D4×C47—21no—
505C2×D4×C47—21no—
506C2×D4×C47—21no—
507C2×D4×C47—21no—
508C2×D4×C47—21no—
509C2×D4×C47—21no—
510C2×D4×C47—21no—
511C2×D4×C47C2×D411yescharacteristic
512C2×D4×C47C2411yescharacteristic
513C2×D4×C47C2411yescharacteristic
514C2×D4×C47C2411yescharacteristic
515C22×C4×C47—21no—
516C22×C4×C47—21no—
517C22×C4×C47—21no—
518C22×C4×C47C2411yescharacteristic
519C22×C4×C47C2411yescharacteristic
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—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531C2×C22⋊D47—21no—
532C2×C22⋊D47—21no—
533C2×C22⋊D47—21no—
534C2×C22⋊D47—21no—
535C2×C22⋊D47—21no—
536C2×C22⋊D47—21no—
537C2×C22⋊D47C2×D411yescharacteristic
538C2×C22⋊D47C2×D411yescharacteristic
539C2×C22⋊D47C2×D411yescharacteristic
540C2×C22⋊D47C2×D411yescharacteristic
541C22×Dic47—21no—
542C22×Dic47—21no—
543C22×Dic47C2×D411yescharacteristic
544#10625354—22no—
545#10625354—22no—
546#10625354—22no—
547#10625354—41no—
548#10625354—82no—
549Q8×D47—22no—
550Q8×D47—41no—
551#10625352—41no—
552#10625352—41no—
553#10625352—41no—
554#10625352—41no—
555#10625352—44no—
556D4×D47—22no—
557D4×D47—22no—
558D4×D47—41no—
559D4×D47—41no—
560D4×D47—41no—
561D4×D47—41no—
562D4×D47—41no—
563D4×D47—41no—
564D4×D47—44no—
565D4×D47—44no—
566D4×D47—44no—
567D4×D47—82no—
568D4×D47—82no—
569D4×D47—82no—
570D4×D47—82no—
571D4×D47—82no—
572#10625350—22no—
573#10625350—41no—
574#10625350—41no—
575#10625350—41no—
576#10625350—41no—
577#10625350—41no—
578#10625350—44no—
579#10625350—44no—
580C2×D188—21no—
581C2×D188—22no—
582C2×D188—21no—
583C2×D188—21no—
584C2×D188—21no—
585C2×D188—21no—
586C2×D188—21no—
587C2×D188—21no—
588C2×D188—21no—
589C2×D188—21no—
590C2×D188—21no—
591C2×D188—41no—
592C2×D188—41no—
593C2×D188—41no—
594C2×D188—44no—
595C2×D188C2×D411yescharacteristic
596C2×D188C2×D411yescharacteristic
597C2×D188C2411yescharacteristic
598C2×D188C2411yescharacteristic
599C2×D188C2411yescharacteristic
600C2×D188C2411yescharacteristic
601C2×C4×D47—21no—
602C2×C4×D47—21no—
603C2×C4×D47—21no—
604C2×C4×D47—21no—
605C2×C4×D47—21no—
606C2×C4×D47—21no—
607C2×C4×D47—21no—
608C2×C4×D47—21no—
609C2×C4×D47—21no—
610C2×C4×D47—21no—
611C2×C4×D47—21no—
612C2×C4×D47—21no—
613C2×C4×D47—41no—
614C2×C4×D47—41no—
615C2×C4×D47—44no—
616C2×C4×D47C2×D411yescharacteristic
617C2×C4×D47C2×D411yescharacteristic
618C2×C4×D47C2411yescharacteristic
619C2×C4×D47C2411yescharacteristic
620C2×C4×D47C2411yescharacteristic
621C2×Dic94—21no—
622C2×Dic94C2×D411yescharacteristic
623C2×Dic94C2411yescharacteristic
624C2×Dic94C2411yescharacteristic
625SD16×C47—22no—
626D8×C47—41no—
627D8×C47—41no—
628C2×C8×C47—41no—
629C2×C8×C47—41no—
630C2×C8×C47C2411yescharacteristic
631C2×C8×C47C2411yescharacteristic
632C2×C8×C47C2411yescharacteristic
633C2×C8×C47C2411yescharacteristic
634C4⋊C4×C47—21no—
635C4⋊C4×C47—21no—
636C4⋊C4×C47C2×D411yescharacteristic
637C4⋊C4×C47C2411yescharacteristic
638C4⋊C4×C47C2411yescharacteristic
639C4⋊C4×C47C2411yescharacteristic
640C4⋊C4×C47C2411yescharacteristic
641C22⋊C4×C47—21no—
642C22⋊C4×C47—21no—
643C22⋊C4×C47—21no—
644C22⋊C4×C47—21no—
645C22⋊C4×C47—21no—
646C22⋊C4×C47—21no—
647C22⋊C4×C47—21no—
648C22⋊C4×C47C2×D411yescharacteristic
649C22⋊C4×C47C2×D411yescharacteristic
650C42×C47—21no—
651C42×C47—21no—
652C42×C47—21no—
653C42×C47C2411yescharacteristic
654C22⋊Dic47—21no—
655C22⋊Dic47—21no—
656C22⋊Dic47—21no—
657C22⋊Dic47—21no—
658C22⋊Dic47—21no—
659C22⋊Dic47—21no—
660C22⋊Dic47—21no—
661C22⋊Dic47C2×D411yescharacteristic
662C22⋊Dic47C2×D411yescharacteristic
663#10625337—22no—
664#10625336—22no—
665#10625336—22no—
666#10625335—41no—
667#10625335—41no—
668#10625335—41no—
669#10625334—22no—
670#10625334—41no—
671#10625334—41no—
672#10625334—41no—
673#10625334—41no—
674#10625334—41no—
675(C2×D47)⋊C4—21no—
676(C2×D47)⋊C4—21no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4—21no—
682(C2×D47)⋊C4—21no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4—21no—
689(C2×D47)⋊C4—21no—
690(C2×D47)⋊C4—21no—
691(C2×D47)⋊C4—21no—
692(C2×D47)⋊C4—21no—
693(C2×D47)⋊C4—21no—
694(C2×D47)⋊C4C2×D411yescharacteristic
695(C2×D47)⋊C4C2×D411yescharacteristic
696(C2×D47)⋊C4C2×D411yescharacteristic
697(C2×D47)⋊C4C2×D411yescharacteristic
698(C2×D47)⋊C4C2×D411yescharacteristic
699(C2×D47)⋊C4C2×D411yescharacteristic
700C4⋊Dic47—21no—
701C4⋊Dic47—21no—
702C4⋊Dic47—21no—
703C4⋊Dic47—21no—
704C4⋊Dic47—21no—
705C4⋊Dic47C2×D411yescharacteristic
706C4⋊Dic47C2411yescharacteristic
707C4⋊Dic47C2411yescharacteristic
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714Dic47⋊C4—21no—
715Dic47⋊C4C2×D411yescharacteristic
716Dic47⋊C4C2×D411yescharacteristic
717Dic47⋊C4C2×D411yescharacteristic
718Dic47⋊C4C2×D411yescharacteristic
719C4×Dic47—21no—
720C4×Dic47—21no—
721C4×Dic47C2411yescharacteristic
722#10625329—41no—
723C2×C47⋊C8—41no—
724C2×C47⋊C8C2411yescharacteristic
725C2×C47⋊C8C2411yescharacteristic
726C2×C47⋊C8C2411yescharacteristic
727C2×C47⋊C8C2411yescharacteristic
728Dic188—41no—
729D376—22no—
730D376—22no—
731D376—41no—
732D376—41no—
733#10625325—22no—
734#10625325—41no—
735#10625325—41no—
736#10625325—41no—
737#10625324—41no—
738C8×D47—41no—
739C8×D47—41no—
740C8×D47—41no—
741C23×C47—21no—
742C23×C47—21no—
743C23×C47—21no—
744C23×C47C22×D411yescharacteristic
745C23×C47C22×D411yescharacteristic
746C22×D47—21no—
747C22×D47—22no—
748C22×D47—21no—
749C22×D47—21no—
750C22×D47—21no—
751C22×D47—41no—
752C22×D47—41no—
753C22×D47—42no—
754C22×D47—42no—
755C22×D47—42no—
756C22×D47—42no—
757C22×D47—42no—
758C22×D47—42no—
759C22×D47—81no—
760C22×D47—81no—
761C22×D47—81no—
762C22×D47—81no—
763C22×D47—81no—
764C22×D47—81no—
765C22×D47—81no—
766C22×D47—81no—
767C22×D47—81no—
768C22×D47—81no—
769C22×D47—81no—
770C22×D47—81no—
771C22×D47C22×D411yescharacteristic
772C22×D47C22×D411yescharacteristic
773C22×D47C22×D411yescharacteristic
774Q8×C47—21no—
775Q8×C47—81no—
776Q8×C47H(5,𝔽2)12yes—
777D4×C47—21no—
778D4×C47—21no—
779D4×C47—21no—
780D4×C47—21no—
781D4×C47—21no—
782D4×C47—21no—
783D4×C47—41no—
784D4×C47—42no—
785D4×C47—42no—
786D4×C47—81no—
787D4×C47—81no—
788D4×C47—81no—
789D4×C47—81no—
790D4×C47—81no—
791D4×C47—81no—
792C2×C4×C47—21no—
793C2×C4×C47—21no—
794C2×C4×C47—21no—
795C2×C4×C47—21no—
796C2×C4×C47—21no—
797C2×C4×C47—21no—
798C2×C4×C47—21no—
799C2×C4×C47—21no—
800C2×C4×C47—21no—
801C2×C4×C47—42no—
802C2×C4×C47—42no—
803C2×C4×C47—81no—
804C2×C4×C47C22×D411yescharacteristic
805C2×C4×C47C22×D411yescharacteristic
806C2×C4×C47C22×D411yescharacteristic
807C2×C4×C47C22×D411yescharacteristic
808C2×C4×C47C2511yescharacteristic
809C22⋊D47—22no—
810C22⋊D47—41no—
811C22⋊D47—41no—
812C22⋊D47—41no—
813C22⋊D47—42no—
814C22⋊D47—42no—
815C22⋊D47—42no—
816C22⋊D47—42no—
817C22⋊D47—42no—
818C22⋊D47—42no—
819C22⋊D47—81no—
820C22⋊D47—81no—
821C22⋊D47—81no—
822C22⋊D47—81no—
823C22⋊D47—81no—
824C22⋊D47—81no—
825C22⋊D47—81no—
826C22⋊D47—81no—
827C22⋊D47—81no—
828C22⋊D47—81no—
829C22⋊D47—81no—
830C2×Dic47—21no—
831C2×Dic47—21no—
832C2×Dic47—21no—
833C2×Dic47—21no—
834C2×Dic47—41no—
835C2×Dic47—42no—
836C2×Dic47—81no—
837C2×Dic47C22×D411yescharacteristic
838C2×Dic47C22×D411yescharacteristic
839C2×Dic47C22×D411yescharacteristic
840C2×Dic47C22×D411yescharacteristic
841C2×Dic47C22×D411yescharacteristic
842D188—24no—
843D188—22no—
844D188—21no—
845D188—21no—
846D188—21no—
847D188—21no—
848D188—21no—
849D188—21no—
850D188—21no—
851D188—41no—
852D188—42no—
853D188—42no—
854D188—42no—
855D188—42no—
856D188—81no—
857D188—81no—
858D188—81no—
859D188—81no—
860D188—81no—
861D188H(5,𝔽2)12yes—
862C4×D47—24no—
863C4×D47—21no—
864C4×D47—21no—
865C4×D47—21no—
866C4×D47—21no—
867C4×D47—21no—
868C4×D47—21no—
869C4×D47—41no—
870C4×D47—41no—
871C4×D47—42no—
872C4×D47—42no—
873C4×D47—42no—
874C4×D47—42no—
875C4×D47—81no—
876C4×D47—81no—
877C4×D47—81no—
878C4×D47—81no—
879C4×D47—81no—
880C4×D47—81no—
881C4×D47—81no—
882Dic94—21no—
883Dic94—21no—
884Dic94—21no—
885Dic94—21no—
886Dic94—41no—
887Dic94—42no—
888C8×C47—21no—
889C8×C47—21no—
890C8×C47—21no—
891C8×C47—21no—
892C47⋊C8—21no—
893C47⋊C8—21no—
894C47⋊C8—21no—
895C47⋊C8—21no—
896#61639—471nomaximal, Sylow
897C22×C47—21no—
898C22×C47—21no—
899C22×C47—21no—
900C22×C47—21no—
901C22×C47—21no—
902C22×C47—21no—
903C22×C47—41no—
904C22×C47—41no—
905C22×C47—41no—
906C22×C47—41no—
907C22×C47—41no—
908C22×C47—41no—
909C22×C47—41no—
910C22×C47—41no—
911C22×C47—41no—
912C22×C47C23×D411yescharacteristic
913C2×D47—21no—
914C2×D47—21no—
915C2×D47—21no—
916C2×D47—21no—
917C2×D47—21no—
918C2×D47—22no—
919C2×D47—21no—
920C2×D47—21no—
921C2×D47—21no—
922C2×D47—41no—
923C2×D47—41no—
924C2×D47—41no—
925C2×D47—41no—
926C2×D47—41no—
927C2×D47—41no—
928C2×D47—41no—
929C2×D47—41no—
930C2×D47—41no—
931C2×D47—41no—
932C2×D47—41no—
933C2×D47—82no—
934C2×D47—84no—
935C2×D47—162no—
936C2×D47—162no—
937C2×D47—162no—
938C2×D47—162no—
939C2×D47—162no—
940C2×D47#57612yes—
941C4×C47—21no—
942C4×C47—22no—
943C4×C47—21no—
944C4×C47—21no—
945C4×C47—21no—
946C4×C47—41no—
947C4×C47—41no—
948C4×C47—41no—
949C4×C47—41no—
950C4×C47C2×H(5,𝔽2)11yescharacteristic
951C4×C47C2×H(5,𝔽2)11yescharacteristic
952Dic47—21no—
953Dic47—21no—
954Dic47—21no—
955Dic47—21no—
956Dic47—21no—
957Dic47—41no—
958Dic47—41no—
959Dic47—41no—
960Dic47—41no—
961#3542—471no—
962#3488—471no—
963#3319—471no—
964#3310—471no—
965#3309—471no—
966#3308—471no—
967#3305D4711yescharacteristic, complemented
968#3300—471no—
969#3297—471no—
970#3294—471no—
971#3287—471no—
972#3282—471no—
973#3280—471no—
974D4×D8—471no—
975#3268—471no—
976#3268—471no—
977#3265—471no—
978#3264—471no—
979#3224—471no—
980#3220—471no—
981#3203—471no—
982#3198—471no—
983#3188—471no—
984#3186—471no—
985#3124—471no—
986#3119—471no—
987#3012—471no—
988#3008—471no—
989#3002—471no—
990C2×#449—471no—
991#2977—471no—
992C2×C47—41no—
993C2×C47—41no—
994C2×C47—81no—
995C2×C47—81no—
996C2×C47—81no—
997C2×C47#348411yescharacteristic
998C2×C47C2×#57611yescharacteristic
999C2×C47#358411yescharacteristic
1000D47—22no—
1001D47—41no—
1002D47—41no—
1003D47—42no—
1004D47—81no—
1005D47—81no—
1006D47—81no—
1007C2×H(5,𝔽2)—471no—
1008C22×#41—471no—
1009C2×AGL(1,ℤ/8)—471no—
1010C2×AGL(1,ℤ/8)—471no—
1011C2×#135—471no—
1012C2×#135—471no—
1013C2×#135—471no—
1014C22×SD16—471no—
1015C22×D8—471no—
1016C22×D8—471no—
1017#562—941no—
1018#560—941no—
1019#555C2×D4711yescharacteristic, complemented
1020#553—471no—
1021#552—471no—
1022#551—941no—
1023#550—471no—
1024#550—471no—
1025#550C2×D4711yescharacteristic, complemented
1026#548—471no—
1027#548—471no—
1028#547—471no—
1029#546—471no—
1030#546—471no—
1031#546—471no—
1032#546—471no—
1033#546—941no—
1034#546—941no—
1035#546—941no—
1036D42—471no—
1037D42—471no—
1038D42—471no—
1039D42—941no—
1040D42—941no—
1041#542—471no—
1042#540—471no—
1043#540—941no—
1044#538—941no—
1045#537—471no—
1046#537—471no—
1047#537—941no—
1048#535—471no—
1049#535—471no—
1050#535—941no—
1051#535—941no—
1052#534—941no—
1053#525—471no—
1054#525—471no—
1055#525—941no—
1056C2×#121—471no—
1057C2×#121—471no—
1058C2×#121—941no—
1059#520—471no—
1060#496—471no—
1061#496—471no—
1062#495—471no—
1063#493—471no—
1064#490—471no—
1065#489—471no—
1066#488—471no—
1067#486C2×D4711yescharacteristic, complemented
1068#485—471no—
1069#484—471no—
1070#484—471no—
1071#482—471no—
1072#482C2×D4711yescharacteristic, complemented
1073#482C2×D4711yescharacteristic, complemented
1074#481—471no—
1075#480—471no—
1076#480—471no—
1077#480—471no—
1078#480—471no—
1079#480—471no—
1080#479—471no—
1081#478—471no—
1082#477C2×D4711yescharacteristic, complemented
1083#474—471no—
1084#469—471no—
1085#468—471no—
1086#468—471no—
1087#468—471no—
1088#467—471no—
1089#466—471no—
1090#466—471no—
1091#466—471no—
1092#466—471no—
1093#466—471no—
1094#466—471no—
1095#466C2×D4711yescharacteristic, complemented
1096#466C2×D4711yescharacteristic, complemented
1097#465—471no—
1098#465—471no—
1099#465—471no—
1100#464—471no—
1101#464—471no—
1102#463—471no—
1103#463—471no—
1104#463—471no—
1105#463—471no—
1106#460—471no—
1107#460—471no—
1108#459—471no—
1109#459—471no—
1110#459—471no—
1111#459C2×D4711yescharacteristic, complemented
1112#452—471no—
1113#452—471no—
1114#452—471no—
1115#452—471no—
1116#451—471no—
1117#450—471no—
1118#450—471no—
1119#450—471no—
1120#450—471no—
1121#449—471no—
1122#449—471no—
1123#449—471no—
1124#449—471no—
1125#449—471no—
1126#449—471no—
1127#449—471no—
1128#449—471no—
1129#449—471no—
1130#449—471no—
1131#449—471no—
1132#449—471no—
1133#449—471no—
1134#449—471no—
1135#449C2×D4711yescharacteristic, complemented
1136#449C2×D4711yescharacteristic, complemented
1137#448—471no—
1138#447—471no—
1139#447—471no—
1140#447—471no—
1141#447—471no—
1142#447—471no—
1143#447—471no—
1144#447—471no—
1145#447—471no—
1146#447—471no—
1147#447—471no—
1148#442—471no—
1149#440—471no—
1150#440—471no—
1151#440—471no—
1152C4×Q16—471no—
1153C4×SD16C2×D4711yescharacteristic, complemented
1154C4×D8—471no—
1155C4×D8—471no—
1156#435—471no—
1157#435—471no—
1158#435—471no—
1159#435—471no—
1160C8×D4—471no—
1161C8×D4—471no—
1162C8×D4—471no—
1163C8×D4C2×D4711yescharacteristic, complemented
1164#433—471no—
1165#433—471no—
1166#418—471no—
1167#417—471no—
1168#416—471no—
1169#416C2×D4711yescharacteristic, complemented
1170#416C2×D4711yescharacteristic, complemented
1171C2×#103—471no—
1172C2×#102—471no—
1173C2×#102—471no—
1174#408—471no—
1175#408—471no—
1176C2×C22⋊C8—471no—
1177C2×C22⋊C8—471no—
1178C47#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—1882no—
1180H(5,𝔽2)—1882no—
1181C2×#41—471no—
1182C2×#41—471no—
1183C2×#41—471no—
1184C2×#41—471no—
1185C2×#41—471no—
1186C2×#41—471no—
1187C2×#41—471no—
1188C2×#41—941no—
1189C2×#41—941no—
1190C2×#41—941no—
1191C2×#41—941no—
1192C2×#41—1882no—
1193C2×#41—1882no—
1194C2×#41C22×D4711yescharacteristic
1195C2×#41C22×D4711yescharacteristic
1196C22×Q8—471no—
1197C22×D4—471no—
1198C22×D4—471no—
1199C22×D4—471no—
1200C22×D4—471no—
1201C22×D4—471no—
1202C22×D4—471no—
1203C22×D4—941no—
1204C22×D4—941no—
1205C22×D4—941no—
1206C22×D4—941no—
1207C22×D4—941no—
1208C22×D4—941no—
1209C22×D4—941no—
1210C22×D4—941no—
1211C22×D4—941no—
1212C23×C4—471no—
1213C23×C4—941no—
1214AGL(1,ℤ/8)—1882no—
1215AGL(1,ℤ/8)—1882no—
1216#135—1882no—
1217#135—1882no—
1218#135—1882no—
1219C2×Q16—471no—
1220C2×Q16—471no—
1221C2×SD16—471no—
1222C2×SD16—471no—
1223C2×SD16—471no—
1224C2×SD16—471no—
1225C2×SD16—471no—
1226C2×SD16—471no—
1227C2×SD16—471no—
1228C2×SD16—471no—
1229C2×SD16—471no—
1230C2×SD16—1882no—
1231C2×SD16C22×D4711yescharacteristic
1232C2×D8—471no—
1233C2×D8—471no—
1234C2×D8—471no—
1235C2×D8—471no—
1236C2×D8—471no—
1237C2×D8—471no—
1238C2×D8—471no—
1239C2×D8—471no—
1240C2×D8—471no—
1241C2×D8—471no—
1242C2×D8—1882no—
1243C2×D8—1882no—
1244C2×D8C22×D4711yescharacteristic
1245C2×D8C22×D4711yescharacteristic
1246C2×M16—471no—
1247C2×M16—471no—
1248C22×C8—471no—
1249C22×C8—471no—
1250C22×C8—471no—
1251C22×C8—471no—
1252C22×C8C22×D4711yescharacteristic
1253C22×C8C22×D4711yescharacteristic
1254C4⋊Q8C22×D4711yescharacteristic
1255#127—21no—
1256#127—471no—
1257#127—471no—
1258#127—941no—
1259#127—941no—
1260#127—941no—
1261#127C22×D4711yescharacteristic
1262#126—941no—
1263#126—941no—
1264#126—941no—
1265#125—471no—
1266#125—941no—
1267#124—21no—
1268#124—21no—
1269#124—471no—
1270#124—471no—
1271#124—471no—
1272#124—941no—
1273#124—941no—
1274#124—941no—
1275#124—941no—
1276#123—471no—
1277#123—471no—
1278#123—941no—
1279#123—941no—
1280#123—941no—
1281#123—941no—
1282#123—941no—
1283#123—941no—
1284#123—941no—
1285#123—941no—
1286#123—941no—
1287#123—941no—
1288#123—941no—
1289#123—941no—
1290C22⋊Q8—471no—
1291C22⋊Q8—471no—
1292C22⋊Q8—471no—
1293C22⋊Q8—471no—
1294C22⋊Q8—471no—
1295C22⋊Q8—471no—
1296C22⋊Q8—471no—
1297C22⋊Q8—941no—
1298C22⋊Q8—941no—
1299C22⋊Q8—941no—
1300C22⋊Q8—941no—
1301C22⋊Q8—941no—
1302C22⋊Q8—941no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—471no—
1307#121—471no—
1308#121—471no—
1309#121—471no—
1310#121—471no—
1311#121—471no—
1312#121—471no—
1313#121—471no—
1314#121—471no—
1315#121—471no—
1316#121—471no—
1317#121—471no—
1318#121—471no—
1319#121—941no—
1320#121—941no—
1321#121—941no—
1322#121—941no—
1323#121—941no—
1324#121—941no—
1325#121—941no—
1326#121—941no—
1327#121—941no—
1328#121—941no—
1329#121—941no—
1330#121—941no—
1331#121—941no—
1332#121—941no—
1333#121—941no—
1334#121—941no—
1335#121—941no—
1336#121—941no—
1337#121—941no—
1338#121—941no—
1339#121—941no—
1340#121—941no—
1341#121—941no—
1342#121—941no—
1343#121—941no—
1344#121—941no—
1345#121—941no—
1346#121—941no—
1347#121C22×D4711yescharacteristic
1348#121C22×D4711yescharacteristic
1349#121C22×D4711yescharacteristic
1350#121C22×D4711yescharacteristic
1351#120—471no—
1352#120—471no—
1353#120—941no—
1354#120—941no—
1355#120—941no—
1356#120—941no—
1357#120—941no—
1358#120—941no—
1359#120—941no—
1360#120—941no—
1361#120—941no—
1362#120—941no—
1363#120—941no—
1364#120—941no—
1365#120—941no—
1366#120—941no—
1367#120—941no—
1368C4×Q8—471no—
1369C4×Q8—471no—
1370C4×Q8C22×D4711yescharacteristic
1371C4×D4—21no—
1372C4×D4—471no—
1373C4×D4—471no—
1374C4×D4—471no—
1375C4×D4—471no—
1376C4×D4—471no—
1377C4×D4—471no—
1378C4×D4—471no—
1379C4×D4—941no—
1380C4×D4—941no—
1381C4×D4—941no—
1382C4×D4—941no—
1383C4×D4—941no—
1384C4×D4—941no—
1385C4×D4—941no—
1386C4×D4—941no—
1387C4×D4—941no—
1388C4×D4C22×D4711yescharacteristic
1389C4×D4C22×D4711yescharacteristic
1390#117—21no—
1391#117—471no—
1392#117—941no—
1393#117—941no—
1394#117C22×D4711yescharacteristic
1395#117C22×D4711yescharacteristic
1396C2×C4⋊C4—471no—
1397C2×C4⋊C4—471no—
1398C2×C4⋊C4—471no—
1399C2×C4⋊C4—941no—
1400C2×C22⋊C4—941no—
1401C2×C22⋊C4—941no—
1402C2×C22⋊C4—941no—
1403C2×C22⋊C4—941no—
1404C2×C22⋊C4—941no—
1405C2×C22⋊C4—941no—
1406#107—471no—
1407#107—471no—
1408#107—471no—
1409#107—471no—
1410#107C22×D4711yescharacteristic
1411#107C22×D4711yescharacteristic
1412#106—471no—
1413#106C22×D4711yescharacteristic
1414C4⋊C8—471no—
1415C4⋊C8—471no—
1416C4⋊C8—471no—
1417C4⋊C8C22×D4711yescharacteristic
1418#103—471no—
1419#103—471no—
1420#103—471no—
1421#103—471no—
1422#103—471no—
1423#103—471no—
1424#103—471no—
1425#103C22×D4711yescharacteristic
1426#103C22×D4711yescharacteristic
1427#103C22×D4711yescharacteristic
1428#102—471no—
1429#102—471no—
1430#102—471no—
1431#102—471no—
1432#102—471no—
1433#102—471no—
1434#102—471no—
1435#102—471no—
1436#102—471no—
1437#102—471no—
1438#102—471no—
1439#102—471no—
1440#102—471no—
1441#102—471no—
1442#102—471no—
1443#102C22×D4711yescharacteristic
1444#102C22×D4711yescharacteristic
1445#102C22×D4711yescharacteristic
1446#102C22×D4711yescharacteristic
1447#102C22×D4711yescharacteristic
1448#102C22×D4711yescharacteristic
1449#102C22×D4711yescharacteristic
1450C22⋊C8—471no—
1451C22⋊C8—471no—
1452C22⋊C8—471no—
1453C22⋊C8—471no—
1454C22⋊C8—471no—
1455C22⋊C8—471no—
1456C22⋊C8—471no—
1457C22⋊C8—471no—
1458C22⋊C8—471no—
1459C22⋊C8—471no—
1460C22⋊C8C22×D4711yescharacteristic
1461C22⋊C8C22×D4711yescharacteristic
1462#97—471no—
1463#97—471no—
1464C4×C8—471no—
1465C4×C8C22×D4711yescharacteristic
1466C24—471no—
1467C24—941no—
1468C24—941no—
1469C24—941no—
1470C24—941no—
1471C24—941no—
1472C24—941no—
1473#41—22no—
1474#41—22no—
1475#41—41no—
1476#41—41no—
1477#41—942no—
1478#41—942no—
1479#41—942no—
1480#41—942no—
1481#41—3762no—
1482#41—1881no—
1483#41—1881no—
1484#41—1881no—
1485#41—1881no—
1486#41—1881no—
1487#41—1884no—
1488#41—1884no—
1489#41—1881no—
1490#41—1881no—
1491#41—1881no—
1492#41—1881no—
1493#41—1884no—
1494#41—1881no—
1495C2×Q8—21no—
1496C2×Q8—471no—
1497C2×Q8—471no—
1498C2×Q8—471no—
1499C2×Q8—941no—
1500C2×Q8—942no—
1501C2×Q8—1881no—
1502C2×Q8C23×D4711yescharacteristic
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—471no—
1512C2×D4—471no—
1513C2×D4—471no—
1514C2×D4—471no—
1515C2×D4—471no—
1516C2×D4—471no—
1517C2×D4—471no—
1518C2×D4—471no—
1519C2×D4—471no—
1520C2×D4—471no—
1521C2×D4—942no—
1522C2×D4—941no—
1523C2×D4—941no—
1524C2×D4—941no—
1525C2×D4—941no—
1526C2×D4—941no—
1527C2×D4—941no—
1528C2×D4—941no—
1529C2×D4—941no—
1530C2×D4—941no—
1531C2×D4—941no—
1532C2×D4—941no—
1533C2×D4—941no—
1534C2×D4—941no—
1535C2×D4—941no—
1536C2×D4—941no—
1537C2×D4—941no—
1538C2×D4—942no—
1539C2×D4—942no—
1540C2×D4—941no—
1541C2×D4—941no—
1542C2×D4—941no—
1543C2×D4—941no—
1544C2×D4—941no—
1545C2×D4—941no—
1546C2×D4—941no—
1547C2×D4—941no—
1548C2×D4—941no—
1549C2×D4—941no—
1550C2×D4—941no—
1551C2×D4—3762no—
1552C2×D4—3762no—
1553C2×D4—3762no—
1554C2×D4—3762no—
1555C2×D4—3762no—
1556C2×D4—1881no—
1557C2×D4—1881no—
1558C2×D4—1881no—
1559C2×D4—1884no—
1560C2×D4—1881no—
1561C2×D4—1881no—
1562C2×D4—1881no—
1563C2×D4—1881no—
1564C2×D4—1881no—
1565C2×D4—1881no—
1566C2×D4—1884no—
1567C2×D4—1884no—
1568C2×D4—1884no—
1569C2×D4D4×D4711yescharacteristic
1570C2×D4C23×D4711yescharacteristic
1571C2×D4C23×D4711yescharacteristic
1572C2×D4C23×D4711yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—471no—
1577C22×C4—471no—
1578C22×C4—471no—
1579C22×C4—471no—
1580C22×C4—471no—
1581C22×C4—471no—
1582C22×C4—941no—
1583C22×C4—941no—
1584C22×C4—941no—
1585C22×C4—941no—
1586C22×C4—941no—
1587C22×C4—941no—
1588C22×C4—941no—
1589C22×C4—941no—
1590C22×C4—941no—
1591C22×C4—941no—
1592C22×C4—941no—
1593C22×C4—941no—
1594C22×C4—941no—
1595C22×C4—941no—
1596C22×C4—1881no—
1597C22×C4—1881no—
1598C22×C4—1884no—
1599C22×C4C23×D4711yescharacteristic
1600C22×C4C23×D4711yescharacteristic
1601Q16—942no—
1602Q16—1881no—
1603SD16—22no—
1604SD16—942no—
1605SD16—942no—
1606SD16—942no—
1607SD16—1881no—
1608SD16—1881no—
1609SD16—1881no—
1610SD16—1881no—
1611SD16—1881no—
1612SD16—1881no—
1613D8—41no—
1614D8—41no—
1615D8—942no—
1616D8—942no—
1617D8—942no—
1618D8—1881no—
1619D8—1881no—
1620D8—1881no—
1621D8—1881no—
1622D8—1881no—
1623D8—1881no—
1624D8—1881no—
1625M16—1881no—
1626M16—1881no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—471no—
1630C2×C8—471no—
1631C2×C8—471no—
1632C2×C8—471no—
1633C2×C8—1881no—
1634C2×C8—1881no—
1635C2×C8—1881no—
1636C2×C8—1881no—
1637C2×C8C23×D4711yescharacteristic
1638C2×C8C23×D4711yescharacteristic
1639C2×C8C23×D4711yescharacteristic
1640C2×C8C23×D4711yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—471no—
1644C4⋊C4—471no—
1645C4⋊C4—471no—
1646C4⋊C4—471no—
1647C4⋊C4—471no—
1648C4⋊C4—471no—
1649C4⋊C4—471no—
1650C4⋊C4—941no—
1651C4⋊C4—941no—
1652C4⋊C4—941no—
1653C4⋊C4—941no—
1654C4⋊C4—941no—
1655C4⋊C4—941no—
1656C4⋊C4—941no—
1657C4⋊C4—941no—
1658C4⋊C4—941no—
1659C4⋊C4—941no—
1660C4⋊C4—941no—
1661C4⋊C4—941no—
1662C4⋊C4D4×D4711yescharacteristic
1663C4⋊C4C23×D4711yescharacteristic
1664C4⋊C4C23×D4711yescharacteristic
1665C4⋊C4C23×D4711yescharacteristic
1666C4⋊C4C23×D4711yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—471no—
1675C22⋊C4—471no—
1676C22⋊C4—471no—
1677C22⋊C4—471no—
1678C22⋊C4—471no—
1679C22⋊C4—471no—
1680C22⋊C4—471no—
1681C22⋊C4—471no—
1682C22⋊C4—941no—
1683C22⋊C4—941no—
1684C22⋊C4—941no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4—941no—
1689C22⋊C4—941no—
1690C22⋊C4—941no—
1691C22⋊C4—941no—
1692C22⋊C4—941no—
1693C22⋊C4—941no—
1694C22⋊C4—941no—
1695C22⋊C4—941no—
1696C22⋊C4—941no—
1697C22⋊C4—941no—
1698C22⋊C4—941no—
1699C22⋊C4—941no—
1700C22⋊C4—941no—
1701C22⋊C4—941no—
1702C22⋊C4—941no—
1703C22⋊C4—941no—
1704C22⋊C4—941no—
1705C22⋊C4—941no—
1706C22⋊C4—941no—
1707C22⋊C4—941no—
1708C22⋊C4D4×D4711yescharacteristic
1709C22⋊C4D4×D4711yescharacteristic
1710C42—21no—
1711C42—21no—
1712C42—21no—
1713C42—471no—
1714C42—941no—
1715C42—941no—
1716C42C23×D4711yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—471no—
1721C23—471no—
1722C23—471no—
1723C23—942no—
1724C23—941no—
1725C23—941no—
1726C23—941no—
1727C23—941no—
1728C23—3761no—
1729C23—3761no—
1730C23—3761no—
1731C23—3761no—
1732C23—3761no—
1733C23—3761no—
1734C23—3761no—
1735C23—3761no—
1736C23—3761no—
1737C23—3761no—
1738C23—3761no—
1739C23—3761no—
1740C23—1881no—
1741C23—1881no—
1742C23—1882no—
1743C23—1882no—
1744C23—1882no—
1745C23—1882no—
1746C23—1882no—
1747C23—1882no—
1748C23C2×D4×D4711yescharacteristic
1749C23C2×D4×D4711yescharacteristic
1750Q8—21no—
1751Q8—81no—
1752Q8—941no—
1753Q8—941no—
1754Q8—941no—
1755Q8—941no—
1756Q8—1881no—
1757Q8—1882no—
1758Q8#1309407012yes—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—41no—
1766D4—42no—
1767D4—42no—
1768D4—81no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—472no—
1775D4—942no—
1776D4—944no—
1777D4—942no—
1778D4—941no—
1779D4—941no—
1780D4—941no—
1781D4—941no—
1782D4—941no—
1783D4—941no—
1784D4—941no—
1785D4—3761no—
1786D4—3761no—
1787D4—3761no—
1788D4—3761no—
1789D4—3761no—
1790D4—3761no—
1791D4—3761no—
1792D4—3761no—
1793D4—3761no—
1794D4—3761no—
1795D4—3761no—
1796D4—3761no—
1797D4—3761no—
1798D4—3761no—
1799D4—3761no—
1800D4—3761no—
1801D4—1881no—
1802D4—1882no—
1803D4—1882no—
1804D4—1882no—
1805D4—1882no—
1806D4—1881no—
1807D4—1881no—
1808D4—1881no—
1809D4—1882no—
1810D4—1882no—
1811D4—1882no—
1812D4—1882no—
1813D4—1882no—
1814D4—1882no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—42no—
1825C2×C4—42no—
1826C2×C4—81no—
1827C2×C4—471no—
1828C2×C4—471no—
1829C2×C4—471no—
1830C2×C4—471no—
1831C2×C4—471no—
1832C2×C4—944no—
1833C2×C4—941no—
1834C2×C4—941no—
1835C2×C4—941no—
1836C2×C4—941no—
1837C2×C4—941no—
1838C2×C4—941no—
1839C2×C4—941no—
1840C2×C4—941no—
1841C2×C4—941no—
1842C2×C4—941no—
1843C2×C4—3761no—
1844C2×C4—3761no—
1845C2×C4—3761no—
1846C2×C4—3761no—
1847C2×C4—3761no—
1848C2×C4—3761no—
1849C2×C4—3761no—
1850C2×C4—3761no—
1851C2×C4—1881no—
1852C2×C4—1881no—
1853C2×C4—1882no—
1854C2×C4—1882no—
1855C2×C4—1882no—
1856C2×C4—1882no—
1857C2×C4—1881no—
1858C2×C4—1882no—
1859C2×C4C2×D4×D4711yescharacteristic
1860C2×C4C2×D4×D4711yescharacteristic
1861C2×C4C2×D4×D4711yescharacteristic
1862C2×C4C2×D4×D4711yescharacteristic
1863C2×C4C24×D4711yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—941no—
1869C8—941no—
1870C8—941no—
1871C8—941no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—472no—
1888C22—941no—
1889C22—941no—
1890C22—941no—
1891C22—941no—
1892C22—941no—
1893C22—941no—
1894C22—942no—
1895C22—941no—
1896C22—941no—
1897C22—3762no—
1898C22—3764no—
1899C22—1881no—
1900C22—1881no—
1901C22—1881no—
1902C22—1881no—
1903C22—1881no—
1904C22—1881no—
1905C22—1881no—
1906C22—1881no—
1907C22—1881no—
1908C22—1881no—
1909C22—1881no—
1910C22—7522no—
1911C22—7522no—
1912C22—7522no—
1913C22—7522no—
1914C22—7522no—
1915C22C22×D4×D4711yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—22no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—941no—
1926C4—941no—
1927C4—941no—
1928C4—941no—
1929C4—941no—
1930C4—1881no—
1931C4—1881no—
1932C4—1881no—
1933C4—1881no—
1934C4H(5,𝔽2)×D4711yescharacteristic
1935C4C2×#1309407011yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—81no—
1939C2—81no—
1940C2—81no—
1941C2—942no—
1942C2—3761no—
1943C2—3761no—
1944C2—3761no—
1945C2—1881no—
1946C2—1881no—
1947C2—1882no—
1948C2#2025701811yescharacteristic
1949C2#576×D4711yescharacteristic
1950C2#2025815711yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3305C2
socleC22×C47C23×D4
hypercenter#3305D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3305

Complements

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

NH ≅ G/Ntype
1. #20257711C2semidirect
2. #20257056C2semidirect
3. #20255538C2semidirect
4. #20255412C2semidirect
5. #20255390C2semidirect
6. #20255376C2semidirect
7. #20255276C2semidirect
8. #20255241C2semidirect
9. #20255200C2semidirect
10. #20255141C2semidirect
11. #20255097C2semidirect
12. #20255075C2semidirect
13. #20255062C2semidirect
14. #20254929C2semidirect
15. #20254925C2semidirect
16. #20254886C2semidirect
17. #20254863C2semidirect
18. #20254485C2semidirect
19. #20254437C2semidirect
20. #20254284C2semidirect
21. #20254238C2semidirect
22. #20254157C2semidirect
23. #20254135C2semidirect
24. #20253657C2semidirect
25. #20253593C2semidirect
26. #20252690C2semidirect
27. #20252659C2semidirect
28. #20252608C2semidirect
29. #449×D47C2semidirect
30. #20252441C2semidirect
31. C47×#3305C2semidirect
32. C2×#13094070C22semidirect
33. C2×#41×D47C22semidirect
34. C2×#13094049C22semidirect
35. C2×#13094048C22semidirect
36. C2×#13094046C22semidirect
37. C2×#13094045C22semidirect
38. C2×#13094044C22semidirect
39. C2×SD16×D47C22semidirect
40. C22×D376C22semidirect
41. C2×D8×D47C22semidirect
44. #15689817C22semidirect
45. #15689812C22semidirect
47. #15689792C22semidirect
48. #15689791C22semidirect
49. #15689785C22semidirect
51. #15689776C22semidirect
53. #15689770C22semidirect
55. #15689769C22semidirect
56. #15689769C22semidirect
57. #15689768C22semidirect
60. #15689758C22semidirect
63. #15689757C22semidirect
64. #15689747C22semidirect
66. #15689724C22semidirect
69. #15689702C22semidirect
70. #15689702C22semidirect
71. #15689692C22semidirect
74. #15689686C22semidirect
76. #15689635C22semidirect
80. #121×D47C22semidirect
81. #121×D47C22semidirect
82. #15689605C22semidirect
83. #15689511C22semidirect
84. #15689510C22semidirect
85. #15689507C22semidirect
86. #15689498C22semidirect
87. #15689486C22semidirect
88. #15689485C22semidirect
89. #15689476C22semidirect
90. #15689464C22semidirect
91. #15689460C22semidirect
92. #15689460C22semidirect
93. #15689447C22semidirect
94. #15689443C22semidirect
95. #15689438C22semidirect
96. #15689438C22semidirect
97. #15689435C22semidirect
98. #15689435C22semidirect
99. #15689435C22semidirect
100. #15689432C22semidirect
101. #15689422C22semidirect
102. #15689400C22semidirect
103. #15689375C22semidirect
104. #15689370C22semidirect
105. #15689367C22semidirect
106. #15689367C22semidirect
107. #15689364C22semidirect
108. #15689360C22semidirect
109. #15689359C22semidirect
110. #15689358C22semidirect
111. #15689358C22semidirect
112. #15689357C22semidirect
113. #15689357C22semidirect
114. #15689353C22semidirect
115. #15689353C22semidirect
116. #15689351C22semidirect
117. #15689345C22semidirect
118. #15689344C22semidirect
119. #15689339C22semidirect
120. #15689339C22semidirect
121. #15689338C22semidirect
122. #15689337C22semidirect
123. #15689322C22semidirect
124. #15689321C22semidirect
125. #15689317C22semidirect
126. #15689317C22semidirect
127. #15689315C22semidirect
128. #15689288C22semidirect
129. #15689286C22semidirect
130. #15689286C22semidirect
131. #15689285C22semidirect
132. #15689280C22semidirect
133. #15689276C22semidirect
134. #15689276C22semidirect
135. #15689275C22semidirect
136. #15689275C22semidirect
138. #15689271C22semidirect
139. #15689271C22semidirect
140. #15689271C22semidirect
141. #15689270C22semidirect
142. #15689270C22semidirect
143. #15689269C22semidirect
144. #15689269C22semidirect
145. #15689268C22semidirect
146. #15689267C22semidirect
147. #15689266C22semidirect
148. #15689266C22semidirect
149. #15689265C22semidirect
150. #15689265C22semidirect
151. #15689263C22semidirect
152. #15689258C22semidirect
153. #15689258C22semidirect
154. #15689258C22semidirect
155. #15689258C22semidirect
156. #15689258C22semidirect
157. #15689258C22semidirect
158. #15689256C22semidirect
159. #15689256C22semidirect
160. #15689255C22semidirect
161. #15689255C22semidirect
162. #15689233C22semidirect
163. #15689226C22semidirect
164. #15689222C22semidirect
165. #15689221C22semidirect
166. #15689215C22semidirect
167. C4×D376C22semidirect
168. #15689205C22semidirect
169. #15689197C22semidirect
170. #15689195C22semidirect
171. #15689194C22semidirect
172. #15689193C22semidirect
173. C8×D188C22semidirect
174. C8×C22⋊D47C22semidirect
175. (C22⋊D47)⋊C8C22semidirect
176. #15689183C22semidirect
177. #15689182C22semidirect
178. #15689127C22semidirect
179. #15689123C22semidirect
180. #15689117C22semidirect
181. #103×D47C22semidirect
182. #102×D47C22semidirect
183. #102×D47C22semidirect
184. #15689089C22semidirect
185. #15689088C22semidirect
186. C2×(C2×D47)⋊C8C22semidirect
187. C22⋊C8×D47C22semidirect
188. C47×#555C22semidirect
189. C47×#550C22semidirect
190. C47×#486C22semidirect
191. C47×#482C22semidirect
192. C47×#482C22semidirect
193. C47×#477C22semidirect
194. C47×#466C22semidirect
195. C47×#466C22semidirect
196. C47×#459C22semidirect
197. C47×#449C22semidirect
198. C47×#449C22semidirect
199. C4×SD16×C47C22semidirect
200. C8×D4×C47C22semidirect
201. C47×#416C22semidirect
202. C47×#416C22semidirect
967. #3305D47semidirect
1019. #555C2×D47semidirect
1025. #550C2×D47semidirect
1067. #486C2×D47semidirect
1072. #482C2×D47semidirect
1073. #482C2×D47semidirect
1082. #477C2×D47semidirect
1095. #466C2×D47semidirect
1096. #466C2×D47semidirect
1111. #459C2×D47semidirect
1135. #449C2×D47semidirect
1136. #449C2×D47semidirect
1153. C4×SD16C2×D47semidirect
1163. C8×D4C2×D47semidirect
1169. #416C2×D47semidirect
1170. #416C2×D47semidirect
1178. C47#61639semidirect

Maximal subgroups

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

subgroupindex
#202577112
#202570562
#202555382
#202554122
#202553902
#202553762
#202552762
#202552412
#202552002
#202551412
#202550972
#202550752
#202550622
#202549292
#202549252
#202548862
#202548632
#202544852
#202544372
#202542842
#202542382
#202541572
#202541352
#202536572
#202535932
#202526902
#202526592
#202526082
#449×D472
#202524412
C47×#33052
#6163947