Finite Group Databasebeta

← #27093712

Subgroups — #27093712

Order 12032.

2102 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257090C211yesmaximal, characteristic, complemented
2#20257027C211yesmaximal, characteristic, complemented
3#20255703C211yesmaximal, characteristic, complemented
4#20255700C211yesmaximal, characteristic, complemented
5#20255688C211yesmaximal, characteristic, complemented
6#20255606C211yesmaximal, characteristic, complemented
7#20255605C211yesmaximal, characteristic, complemented
8#20255595C211yesmaximal, characteristic, complemented
9#20255594C211yesmaximal, characteristic, complemented
10#20255487C211yesmaximal, characteristic, complemented
11#20255484C211yesmaximal, characteristic, complemented
12#20255467C211yesmaximal, characteristic, complemented
13#20255466C211yesmaximal, characteristic, complemented
14#20255371C211yesmaximal, characteristic, complemented
15#20255368C211yesmaximal, characteristic, complemented
16#20255343C211yesmaximal, characteristic, complemented
17#20255342C211yesmaximal, characteristic, complemented
18#20253748C211yesmaximal, characteristic, complemented
19#20253356C211yesmaximal, characteristic, complemented
20#20253315C211yesmaximal, characteristic, complemented
21#20253212C211yesmaximal, characteristic, complemented
22#20253074C211yesmaximal, characteristic, complemented
23#20252992C211yesmaximal, characteristic, complemented
24#20252933C211yesmaximal, characteristic, complemented
25#20252690C211yesmaximal, characteristic, complemented
26#20252626C211yesmaximal, characteristic, complemented
27#20252213C211yesmaximal, characteristic, complemented
28#20252088C211yesmaximal, characteristic, complemented
29#20251912C211yesmaximal, characteristic, complemented
30#417×D47C211yesmaximal, characteristic, complemented
31C47×#3330C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic
33C2×#41×D47C2211yescharacteristic
34C2×#13094053C2211yescharacteristic, complemented
35C2×#13094048C2211yescharacteristic
36C2×#13094045C2211yescharacteristic
37C2×#13094032C2211yescharacteristic
38C2×M16×D47C2211yescharacteristic, complemented
39#15689834C2211yescharacteristic, complemented
40#15689828C2211yescharacteristic, complemented
41#15689827—21no—
42#15689823C2211yescharacteristic, complemented
43#15689820C2211yescharacteristic, complemented
44#15689818—21no—
45#15689813C2211yescharacteristic, complemented
46#15689810—21no—
47#15689808C2211yescharacteristic, complemented
48#15689776C2211yescharacteristic
49#15689775C2211yescharacteristic
50#15689774—21no—
51#15689773C2211yescharacteristic, complemented
52#15689772—21no—
53#15689772C2211yescharacteristic
54#15689771—21no—
55#15689769C2211yescharacteristic
56#15689768C2211yescharacteristic
57#15689765—21no—
58#15689764C2211yescharacteristic
59#15689762—21no—
60#15689761C2211yescharacteristic
61#15689750C2211yescharacteristic, complemented
62#15689719—21no—
63#15689716—21no—
64#15689702C2211yescharacteristic
65#15689698C2211yescharacteristic
66#15689696C2211yescharacteristic
67#15689684—21no—
68#15689681—21no—
69#15689636C2211yescharacteristic
70#15689633C2211yescharacteristic, complemented
71#15689632C2211yescharacteristic
72#15689631—21no—
73#15689630—21no—
74C2×#13094009—21no—
75#123×D47—21no—
76#15689604C2211yescharacteristic
77#15689602C2211yescharacteristic, complemented
78#15689595C2211yescharacteristic
79C2×C4⋊C4×D47C2211yescharacteristic, complemented
80#15689491C2211yescharacteristic, complemented
81#15689490C2211yescharacteristic, complemented
82#15689485C2211yescharacteristic, complemented
83#15689484C2211yescharacteristic, complemented
84#15689479C2211yescharacteristic, complemented
85#15689478C2211yescharacteristic, complemented
86#15689472C2211yescharacteristic, complemented
87#15689466C2211yescharacteristic, complemented
88#15689465C2211yescharacteristic, complemented
89#15689463C2211yescharacteristic, complemented
90#15689461C2211yescharacteristic, complemented
91#15689460C2211yescharacteristic, complemented
92#15689456C2211yescharacteristic, complemented
93#15689453C2211yescharacteristic, complemented
94#15689452C2211yescharacteristic, complemented
95#15689452C2211yescharacteristic, complemented
96#15689452C2211yescharacteristic, complemented
97#15689442C2211yescharacteristic, complemented
98#15689441C2211yescharacteristic, complemented
99#15689438C2211yescharacteristic, complemented
100#15689438C2211yescharacteristic, complemented
101#15689426C2211yescharacteristic, complemented
102#15689424C2211yescharacteristic, complemented
103#15689423C2211yescharacteristic, complemented
104#15689421C2211yescharacteristic, complemented
105#15689411C2211yescharacteristic, complemented
106#15689410C2211yescharacteristic, complemented
107#15689402C2211yescharacteristic, complemented
108#15689381C2211yescharacteristic, complemented
109#15689380C2211yescharacteristic, complemented
110#15689380C2211yescharacteristic, complemented
111#15689379C2211yescharacteristic, complemented
112#15689375C2211yescharacteristic, complemented
113#15689374C2211yescharacteristic, complemented
114#15689370C2211yescharacteristic, complemented
115#15689369C2211yescharacteristic, complemented
116#15689368C2211yescharacteristic, complemented
117#15689366C2211yescharacteristic, complemented
118#15689365C2211yescharacteristic, complemented
119#15689362C2211yescharacteristic, complemented
120#15689350C2211yescharacteristic, complemented
121#15689349C2211yescharacteristic, complemented
122#15689348C2211yescharacteristic, complemented
123#15689346C2211yescharacteristic, complemented
124#15689340C2211yescharacteristic, complemented
125#15689338C2211yescharacteristic, complemented
126#15689332C2211yescharacteristic, complemented
127#15689330C2211yescharacteristic, complemented
128#15689326C2211yescharacteristic, complemented
129#15689288C2211yescharacteristic, complemented
130#15689288C2211yescharacteristic, complemented
131#15689287C2211yescharacteristic, complemented
132#15689286C2211yescharacteristic, complemented
133#15689285C2211yescharacteristic, complemented
134#15689285C2211yescharacteristic, complemented
135#15689276C2211yescharacteristic, complemented
136#15689275C2211yescharacteristic, complemented
137#15689267C2211yescharacteristic, complemented
138#15689267C2211yescharacteristic, complemented
139#15689266C2211yescharacteristic, complemented
140#15689265C2211yescharacteristic, complemented
141#15689256C2211yescharacteristic, complemented
142#15689255C2211yescharacteristic, complemented
143#15689235C2211yescharacteristic, complemented
144#15689233C2211yescharacteristic, complemented
145#15689223C2211yescharacteristic, complemented
146#15689222C2211yescharacteristic, complemented
147#15689214C2211yescharacteristic, complemented
148C4×#10625325C2211yescharacteristic, complemented
149#15689203C2211yescharacteristic, complemented
150#15689202C2211yescharacteristic, complemented
151#15689199C2211yescharacteristic, complemented
152#15689199C2211yescharacteristic, complemented
153#15689197C2211yescharacteristic, complemented
154#15689195C2211yescharacteristic, complemented
155#15689193C2211yescharacteristic, complemented
156#15689191C2211yescharacteristic, complemented
157#15689164C2211yescharacteristic, complemented
158#15689164C2211yescharacteristic, complemented
159#15689160C2211yescharacteristic, complemented
160#15689148C2211yescharacteristic, complemented
161#15689130C2211yescharacteristic, complemented
162#15689129C2211yescharacteristic, complemented
163#15689126C2211yescharacteristic
164#15689126C2211yescharacteristic, complemented
165#15689125C2211yescharacteristic, complemented
166#15689124C2211yescharacteristic, complemented
167#15689123C2211yescharacteristic
168#15689123C2211yescharacteristic
169#15689123C2211yescharacteristic, complemented
170#15689123C2211yescharacteristic, complemented
171#15689123C2211yescharacteristic, complemented
172#15689122C2211yescharacteristic, complemented
173#15689121C2211yescharacteristic, complemented
174#15689121C2211yescharacteristic, complemented
175#15689119C2211yescharacteristic, complemented
176#15689118C2211yescharacteristic
177#15689118C2211yescharacteristic, complemented
178#15689116C2211yescharacteristic, complemented
179#103×D47C2211yescharacteristic, complemented
180#103×D47C2211yescharacteristic, complemented
181C2×#13093944C2211yescharacteristic, complemented
182#102×D47C2211yescharacteristic
183#102×D47C2211yescharacteristic
184#102×D47C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic
186#15689085C2211yescharacteristic, complemented
187#15689077C2211yescharacteristic, complemented
188C47×#547C2211yescharacteristic
189C47×#547C2211yescharacteristic, complemented
190C47×#487C2211yescharacteristic, complemented
191C47×#484C2211yescharacteristic, complemented
192C47×#484C2211yescharacteristic, complemented
193C47×#474C2211yescharacteristic, complemented
194C47×#468C2211yescharacteristic, complemented
195C47×#468C2211yescharacteristic, complemented
196C47×#461C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic, complemented
198C47×#449C2211yescharacteristic, complemented
199C4×D8×C47C2211yescharacteristic, complemented
200C47×#436C2211yescharacteristic, complemented
201C47×#417C2211yescharacteristic, complemented
202C47×#417C2211yescharacteristic, complemented
203#13094070—24no—
204#13094070—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625354C2311yescharacteristic
207C2×#10625354C2311yescharacteristic
208C2×#10625350—21no—
209C2×#10625350—21no—
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625352—21no—
213C2×#10625352—21no—
214C2×#10625352C2311yescharacteristic
215C2×#10625352C2311yescharacteristic
216#41×D47—24no—
217#41×D47—42no—
218C2×Q8×D47C2311yescharacteristic
219C22×D188—21no—
220C22×D188C2311yescharacteristic
221C2×D4×D47—21no—
222C2×D4×D47—21no—
223C2×D4×D47—21no—
224C2×D4×D47C2311yescharacteristic
225C2×D4×D47C2311yescharacteristic
226C22×C4×D47—21no—
227C22×C4×D47—21no—
228C22×C4×D47C2311yescharacteristic
229#13094053—42no—
230#13094048—24no—
231#13094045—42no—
232C2×Dic188C2311yescharacteristic
233C2×#10625337C2311yescharacteristic
234C2×#10625337C2311yescharacteristic
235C2×#10625325C2311yescharacteristic
236C2×#10625325C2311yescharacteristic
237C2×#10625335C2311yescharacteristic
238C2×#10625335C2311yescharacteristic
239C2×#10625334C2311yescharacteristic
240C2×#10625334C2311yescharacteristic
241#13094032—42no—
242C2×#10625329C2311yescharacteristic
243C2×#10625324C2311yescharacteristic
244C2×#10625324C2311yescharacteristic
245C2×#10625324C2311yescharacteristic
246C2×#10625324C2311yescharacteristic
247C2×#10625324C2311yescharacteristic
248M16×D47—42no—
249C22×C47⋊C8C2311yescharacteristic
250C2×C8×D47C2311yescharacteristic
251C2×C8×D47C2311yescharacteristic
252C2×C8×D47C2311yescharacteristic
253#13094023—21no—
254#13094023C2311yescharacteristic
255#13094022—21no—
256#13094022C2311yescharacteristic
257#13094019—21no—
258#13094017—21no—
259#13094017—21no—
260#13094017—21no—
261#13094016C2311yescharacteristic
262#13094015—21no—
263#13094015C2311yescharacteristic
264#13094014—21no—
265#13094014—21no—
266#13094014—21no—
267#13094014—21no—
268#13094013C2311yescharacteristic
269#13094012C2311yescharacteristic
270#13094010—21no—
271#13094009—21no—
272#13094009—21no—
273#13094009—21no—
274#13094009—21no—
275#13094009—21no—
276#13094009—21no—
277#13094009—21no—
278#13094009—21no—
279#13094009—21no—
280#13094009D411yescharacteristic
281#13094008—21no—
282#13094007—21no—
283#13094007—21no—
284#13094007—21no—
285#13094007—21no—
286#13094006—21no—
287#13094006—21no—
288#13094006—21no—
289#13094006—21no—
290#13094006D411yescharacteristic
291#13094005—21no—
292#13094005—21no—
293#13094005—21no—
294#13094005—21no—
295#13094004C2311yescharacteristic
296#13094004C2311yescharacteristic
297#13094004C2311yescharacteristic
298#13094003—21no—
299#13094003C2311yescharacteristic
300#13094003C2311yescharacteristic
301#13094003C2311yescharacteristic
302#13094002—21no—
303#13094002—21no—
304#13094002—21no—
305#13094002—21no—
306#13094002D411yescharacteristic
307#13094001—21no—
308#13094001—21no—
309#13094001D411yescharacteristic
310#13094000—21no—
311#13094000—21no—
312#13094000—21no—
313#13094000C2311yescharacteristic
314#13094000C2311yescharacteristic
315#13093999—21no—
316#13093999—21no—
317#13093999C2311yescharacteristic
318#13093998—21no—
319#13093998C2311yescharacteristic
320#13093997—21no—
321#13093997—21no—
322#13093997—21no—
323#13093997—21no—
324#13093997D411yescharacteristic
325#13093996—21no—
326#13093996—21no—
327#13093996—21no—
328#13093996D411yescharacteristic
329#13093995—21no—
330#13093995—21no—
331#13093995C2311yescharacteristic
332#13093995C2311yescharacteristic
333#13093994—21no—
334#13093994—21no—
335#13093994—21no—
336#13093994D411yescharacteristic
337#13093992—21no—
338#13093992—21no—
339#13093992—21no—
340#13093992D411yescharacteristic
341C4×Dic94C2311yescharacteristic
342#13093989—21no—
343#13093989C2311yescharacteristic
344C4×D188C2311yescharacteristic
345C4×D188C2311yescharacteristic
346D4×Dic47—21no—
347D4×Dic47C2311yescharacteristic
348D4×Dic47C2311yescharacteristic
349#13093986—21no—
350#13093986—21no—
351#13093986—21no—
352#13093986C2311yescharacteristic
353C4×C22⋊D47—21no—
354C4×C22⋊D47—21no—
355C4×C22⋊D47—21no—
356C4×C22⋊D47—21no—
357C4×C22⋊D47—21no—
358C4×C22⋊D47—21no—
359C4×C22⋊D47C2311yescharacteristic
360C4×C22⋊D47C2311yescharacteristic
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#13093983—21no—
367#13093983C2311yescharacteristic
368#13093982C2311yescharacteristic
369#13093982C2311yescharacteristic
370#13093982C2311yescharacteristic
371#13093981C2311yescharacteristic
372#13093980—21no—
373#13093980—21no—
374C2×C4⋊Dic47C2311yescharacteristic
375C2×Dic47⋊C4—21no—
376C2×Dic47⋊C4—21no—
377C2×Dic47⋊C4—21no—
378C4⋊C4×D47—21no—
379C4⋊C4×D47—21no—
380C4⋊C4×D47—21no—
381C4⋊C4×D47—21no—
382C4⋊C4×D47C2311yescharacteristic
383C4⋊C4×D47C2311yescharacteristic
384C4⋊C4×D47C2311yescharacteristic
385C4⋊C4×D47C2311yescharacteristic
386C4⋊C4×D47C2311yescharacteristic
387C2×(C2×D47)⋊C4—21no—
388C2×(C2×D47)⋊C4—21no—
389C2×(C2×D47)⋊C4—21no—
390C22⋊C4×D47—21no—
391C22⋊C4×D47—21no—
392C22⋊C4×D47—21no—
393#13093958C2311yescharacteristic
394#13093957C2311yescharacteristic
395#13093957C2311yescharacteristic
396#13093956C2311yescharacteristic
397#13093956C2311yescharacteristic
398#13093955C2311yescharacteristic
399#13093955C2311yescharacteristic
400#13093955C2311yescharacteristic
401#13093955C2311yescharacteristic
402C4⋊(C47⋊C8)C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433#13093944C2311yescharacteristic
434#13093944C2311yescharacteristic
435C22⋊(C47⋊C8)C2311yescharacteristic
436C22⋊(C47⋊C8)C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441#13093935C2311yescharacteristic
442#13093934C2311yescharacteristic
443C8×Dic47C2311yescharacteristic
444C2×#41×C47—21no—
445C2×#41×C47C2311yescharacteristic
446C2×#41×C47C2311yescharacteristic
447C2×SD16×C47C2311yescharacteristic
448C2×SD16×C47C2311yescharacteristic
449C2×D8×C47C2311yescharacteristic
450C2×M16×C47C2311yescharacteristic
451C2×M16×C47C2311yescharacteristic
452C4⋊Q8×C47C2311yescharacteristic
453C4⋊Q8×C47C2311yescharacteristic
454#123×C47—21no—
455#123×C47—21no—
456#123×C47—21no—
457#123×C47—21no—
458C22⋊Q8×C47—21no—
459C22⋊Q8×C47C2311yescharacteristic
460C22⋊Q8×C47C2311yescharacteristic
461#121×C47—21no—
462#121×C47C2311yescharacteristic
463#121×C47C2311yescharacteristic
464C4×D4×C47C2311yescharacteristic
465C4×D4×C47C2311yescharacteristic
466C4×D4×C47C2311yescharacteristic
467C2×C4⋊C4×C47—21no—
468C2×C4⋊C4×C47C2311yescharacteristic
469C2×C4⋊C4×C47C2311yescharacteristic
470#107×C47C2311yescharacteristic
471#107×C47C2311yescharacteristic
472#107×C47C2311yescharacteristic
473C4⋊C8×C47C2311yescharacteristic
474#103×C47C2311yescharacteristic
475#103×C47C2311yescharacteristic
476#103×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484C22⋊C8×C47C2311yescharacteristic
485C22⋊C8×C47C2311yescharacteristic
486C4×C8×C47C2311yescharacteristic
487C23×D47—21no—
488C23×D47—21no—
489C23×D47—21no—
490C23×D47C2×D411yescharacteristic
491#41×C47—22no—
492#41×C47—22no—
493#41×C47—41no—
494#41×C47—41no—
495#41×C47—82no—
496C2×Q8×C47—21no—
497C2×Q8×C47C2411yescharacteristic
498C2×Q8×C47C2411yescharacteristic
499C2×D4×C47—21no—
500C2×D4×C47—21no—
501C2×D4×C47—21no—
502C2×D4×C47—21no—
503C2×D4×C47C2×D411yescharacteristic
504C2×D4×C47C2411yescharacteristic
505C2×D4×C47C2411yescharacteristic
506C22×C4×C47—21no—
507C22×C4×C47—21no—
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⋊D47C2×D411yescharacteristic
523C2×C22⋊D47C2×D411yescharacteristic
524C2×C22⋊D47C2×D411yescharacteristic
525C2×C22⋊D47C2×D411yescharacteristic
526C22×Dic47—21no—
527C22×Dic47—21no—
528C22×Dic47—21no—
529C22×Dic47—21no—
530C22×Dic47—21no—
531C22×Dic47C2×D411yescharacteristic
532#10625354—22no—
533#10625354—22no—
534#10625354—22no—
535#10625354—22no—
536#10625354—41no—
537#10625354—41no—
538Q8×D47—22no—
539Q8×D47—22no—
540#10625352—22no—
541#10625352—22no—
542#10625352—22no—
543#10625352—41no—
544#10625352—44no—
545#10625352—82no—
546D4×D47—22no—
547D4×D47—22no—
548D4×D47—41no—
549D4×D47—44no—
550D4×D47—44no—
551D4×D47—44no—
552D4×D47#4114yescomplemented
553#10625350—22no—
554#10625350—22no—
555#10625350—22no—
556#10625350—41no—
557#10625350—44no—
558#10625350—44no—
559C2×D188—22no—
560C2×D188—21no—
561C2×D188—21no—
562C2×D188—21no—
563C2×D188—21no—
564C2×D188—21no—
565C2×D188—41no—
566C2×D188—44no—
567C2×D188C2×D411yescharacteristic
568C2×D188C2×D411yescharacteristic
569C2×D188C2411yescharacteristic
570C2×D188C2411yescharacteristic
571C2×C4×D47—22no—
572C2×C4×D47—22no—
573C2×C4×D47—21no—
574C2×C4×D47—21no—
575C2×C4×D47—21no—
576C2×C4×D47—21no—
577C2×C4×D47—21no—
578C2×C4×D47—21no—
579C2×C4×D47—21no—
580C2×C4×D47—21no—
581C2×C4×D47—21no—
582C2×C4×D47—21no—
583C2×C4×D47—21no—
584C2×C4×D47—21no—
585C2×C4×D47—44no—
586C2×C4×D47—82no—
587C2×C4×D47C2×D411yescharacteristic
588C2×C4×D47C2×D411yescharacteristic
589C2×C4×D47C2411yescharacteristic
590C2×C4×D47C2411yescharacteristic
591C2×C4×D47C2411yescharacteristic
592C2×Dic94—21no—
593C2×Dic94—21no—
594C2×Dic94C2×D411yescharacteristic
595C2×Dic94C2411yescharacteristic
596C2×Dic94C2411yescharacteristic
597SD16×C47—41no—
598SD16×C47—41no—
599D8×C47—22no—
600M16×C47—41no—
601M16×C47—41no—
602C2×C8×C47C2411yescharacteristic
603C2×C8×C47C2411yescharacteristic
604C2×C8×C47C2411yescharacteristic
605C2×C8×C47C2411yescharacteristic
606C4⋊C4×C47—21no—
607C4⋊C4×C47—21no—
608C4⋊C4×C47—21no—
609C4⋊C4×C47—21no—
610C4⋊C4×C47—21no—
611C4⋊C4×C47—21no—
612C4⋊C4×C47—21no—
613C4⋊C4×C47C2×D411yescharacteristic
614C4⋊C4×C47C2411yescharacteristic
615C4⋊C4×C47C2411yescharacteristic
616C4⋊C4×C47C2411yescharacteristic
617C4⋊C4×C47C2411yescharacteristic
618C22⋊C4×C47—21no—
619C22⋊C4×C47—21no—
620C22⋊C4×C47—21no—
621C22⋊C4×C47—21no—
622C22⋊C4×C47—21no—
623C22⋊C4×C47—21no—
624C22⋊C4×C47C2×D411yescharacteristic
625C22⋊C4×C47C2×D411yescharacteristic
626C42×C47C2411yescharacteristic
627C22⋊Dic47—21no—
628C22⋊Dic47—21no—
629C22⋊Dic47—21no—
630C22⋊Dic47—21no—
631C22⋊Dic47—21no—
632C22⋊Dic47—21no—
633C22⋊Dic47—21no—
634C22⋊Dic47—21no—
635C22⋊Dic47C2×D411yescharacteristic
636C22⋊Dic47C2×D411yescharacteristic
637#10625337—41no—
638#10625337—41no—
639#10625335—22no—
640#10625335—41no—
641#10625334—22no—
642#10625334—41no—
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)⋊C4—21no—
651(C2×D47)⋊C4—21no—
652(C2×D47)⋊C4—21no—
653(C2×D47)⋊C4—21no—
654(C2×D47)⋊C4—21no—
655(C2×D47)⋊C4—21no—
656(C2×D47)⋊C4—21no—
657(C2×D47)⋊C4—21no—
658(C2×D47)⋊C4—21no—
659(C2×D47)⋊C4C2×D411yescharacteristic
660(C2×D47)⋊C4C2×D411yescharacteristic
661(C2×D47)⋊C4C2×D411yescharacteristic
662(C2×D47)⋊C4C2×D411yescharacteristic
663(C2×D47)⋊C4C2×D411yescharacteristic
664(C2×D47)⋊C4C2×D411yescharacteristic
665C4⋊Dic47—21no—
666C4⋊Dic47—21no—
667C4⋊Dic47—21no—
668C4⋊Dic47—21no—
669C4⋊Dic47—21no—
670C4⋊Dic47C2×D411yescharacteristic
671C4⋊Dic47C2411yescharacteristic
672C4⋊Dic47C2411yescharacteristic
673C4⋊Dic47C2411yescharacteristic
674C4⋊Dic47C2411yescharacteristic
675Dic47⋊C4—21no—
676Dic47⋊C4—21no—
677Dic47⋊C4—21no—
678Dic47⋊C4—21no—
679Dic47⋊C4—21no—
680Dic47⋊C4—21no—
681Dic47⋊C4—21no—
682Dic47⋊C4—21no—
683Dic47⋊C4—21no—
684Dic47⋊C4—21no—
685Dic47⋊C4—21no—
686Dic47⋊C4—21no—
687Dic47⋊C4—21no—
688Dic47⋊C4—21no—
689Dic47⋊C4—21no—
690Dic47⋊C4—21no—
691Dic47⋊C4—21no—
692Dic47⋊C4—21no—
693Dic47⋊C4C2×D411yescharacteristic
694Dic47⋊C4C2×D411yescharacteristic
695Dic47⋊C4C2×D411yescharacteristic
696Dic47⋊C4C2×D411yescharacteristic
697C4×Dic47—21no—
698C4×Dic47—21no—
699C4×Dic47—21no—
700C4×Dic47—21no—
701C4×Dic47—21no—
702C4×Dic47—21no—
703C4×Dic47C2411yescharacteristic
704#10625329—41no—
705C2×C47⋊C8—41no—
706C2×C47⋊C8C2411yescharacteristic
707C2×C47⋊C8C2411yescharacteristic
708C2×C47⋊C8C2411yescharacteristic
709C2×C47⋊C8C2411yescharacteristic
710Dic188—41no—
711#10625325—22no—
712#10625325—41no—
713#10625324—22no—
714#10625324—22no—
715#10625324—41no—
716#10625324—41no—
717#10625324—41no—
718C8×D47—22no—
719C8×D47—22no—
720C8×D47—41no—
721C23×C47—21no—
722C23×C47—21no—
723C23×C47C22×D411yescharacteristic
724C23×C47C22×D411yescharacteristic
725C22×D47—21no—
726C22×D47—22no—
727C22×D47—24no—
728C22×D47—21no—
729C22×D47—41no—
730C22×D47—41no—
731C22×D47—42no—
732C22×D47—42no—
733C22×D47—81no—
734C22×D47—81no—
735C22×D47—81no—
736C22×D47—81no—
737C22×D47—81no—
738C22×D47—81no—
739C22×D47C22×D411yescharacteristic
740C22×D47C22×D411yescharacteristic
741C22×D47C22×D411yescharacteristic
742Q8×C47—21no—
743Q8×C47—21no—
744Q8×C47—21no—
745Q8×C47—21no—
746Q8×C47—81no—
747D4×C47—21no—
748D4×C47—21no—
749D4×C47—21no—
750D4×C47—41no—
751D4×C47—42no—
752D4×C47—42no—
753D4×C47—42no—
754D4×C47—81no—
755D4×C47C2×#4112yes—
756C2×C4×C47—21no—
757C2×C4×C47—21no—
758C2×C4×C47—21no—
759C2×C4×C47—21no—
760C2×C4×C47—21no—
761C2×C4×C47—21no—
762C2×C4×C47—21no—
763C2×C4×C47—21no—
764C2×C4×C47—21no—
765C2×C4×C47—21no—
766C2×C4×C47—42no—
767C2×C4×C47—42no—
768C2×C4×C47—42no—
769C2×C4×C47—81no—
770C2×C4×C47—81no—
771C2×C4×C47—81no—
772C2×C4×C47C22×D411yescharacteristic
773C2×C4×C47C22×D411yescharacteristic
774C2×C4×C47C22×D411yescharacteristic
775C2×C4×C47C22×D411yescharacteristic
776C2×C4×C47C2511yescharacteristic
777C22⋊D47—22no—
778C22⋊D47—22no—
779C22⋊D47—24no—
780C22⋊D47—41no—
781C22⋊D47—41no—
782C22⋊D47—42no—
783C22⋊D47—42no—
784C22⋊D47—42no—
785C22⋊D47—42no—
786C22⋊D47—42no—
787C22⋊D47—81no—
788C22⋊D47—81no—
789C2×Dic47—22no—
790C2×Dic47—21no—
791C2×Dic47—21no—
792C2×Dic47—21no—
793C2×Dic47—21no—
794C2×Dic47—21no—
795C2×Dic47—21no—
796C2×Dic47—42no—
797C2×Dic47—42no—
798C2×Dic47—42no—
799C2×Dic47—81no—
800C2×Dic47—81no—
801C2×Dic47C22×D411yescharacteristic
802C2×Dic47C22×D411yescharacteristic
803C2×Dic47C22×D411yescharacteristic
804C2×Dic47C22×D411yescharacteristic
805C2×Dic47C22×D411yescharacteristic
806D188—22no—
807D188—21no—
808D188—21no—
809D188—21no—
810D188—41no—
811D188—42no—
812D188—42no—
813D188—42no—
814D188—42no—
815D188—81no—
816D188C2×#4112yes—
817C4×D47—22no—
818C4×D47—21no—
819C4×D47—21no—
820C4×D47—21no—
821C4×D47—21no—
822C4×D47—22no—
823C4×D47—42no—
824C4×D47—42no—
825C4×D47—42no—
826C4×D47—42no—
827C4×D47—42no—
828C4×D47—81no—
829C4×D47—81no—
830C4×D47—81no—
831C4×D47—81no—
832C4×D47—81no—
833C4×D47—81no—
834C4×D47—81no—
835C4×D47C2×#4112yes—
836C4×D47H(5,𝔽2)12yes—
837Dic94—22no—
838Dic94—21no—
839Dic94—21no—
840Dic94—21no—
841Dic94—21no—
842Dic94—42no—
843Dic94—81no—
844C8×C47—21no—
845C8×C47—21no—
846C8×C47—21no—
847C8×C47—21no—
848C47⋊C8—21no—
849C47⋊C8—21no—
850C47⋊C8—21no—
851C47⋊C8—21no—
852#61177—471nomaximal, Sylow
853C22×C47—21no—
854C22×C47—21no—
855C22×C47—21no—
856C22×C47—21no—
857C22×C47—21no—
858C22×C47—22no—
859C22×C47—21no—
860C22×C47—41no—
861C22×C47—41no—
862C22×C47—41no—
863C22×C47—41no—
864C22×C47—41no—
865C22×C47C23×D411yescharacteristic
866C2×D47—21no—
867C2×D47—21no—
868C2×D47—21no—
869C2×D47—21no—
870C2×D47—21no—
871C2×D47—21no—
872C2×D47—21no—
873C2×D47—21no—
874C2×D47—22no—
875C2×D47—44no—
876C2×D47—41no—
877C2×D47—41no—
878C2×D47—41no—
879C2×D47—41no—
880C2×D47—41no—
881C2×D47—84no—
882C2×D47—162no—
883C2×D47—162no—
884C2×D47#54612yes—
885C4×C47—21no—
886C4×C47—21no—
887C4×C47—21no—
888C4×C47—21no—
889C4×C47—41no—
890C4×C47—41no—
891C4×C47—41no—
892C4×C47—41no—
893C4×C47—41no—
894C4×C47—41no—
895C4×C47C22×#4111yescharacteristic
896C4×C47C2×H(5,𝔽2)11yescharacteristic
897Dic47—21no—
898Dic47—21no—
899Dic47—21no—
900Dic47—21no—
901Dic47—41no—
902Dic47—41no—
903Dic47—41no—
904Dic47—41no—
905Dic47—41no—
906Dic47—41no—
907Dic47#54612yes—
908#3492—471no—
909#3485—471no—
910#3331—471no—
911#3331—471no—
912#3330—471no—
913#3330D4711yescharacteristic, complemented
914#3323—471no—
915#3323—471no—
916#3322—471no—
917#3322—471no—
918#3315—471no—
919#3315—471no—
920#3314—471no—
921#3314—471no—
922#3307—471no—
923#3307—471no—
924#3306—471no—
925#3306—471no—
926#3137—471no—
927#3097—471no—
928#3092—471no—
929#3081—471no—
930#3063—471no—
931#3054—471no—
932#3046—471no—
933#3012—471no—
934#3005—471no—
935#2946—471no—
936#2930—471no—
937#2897—471no—
938C2×#417—471no—
939C2×C47—41no—
940C2×C47—42no—
941C2×C47—41no—
942C2×C47—81no—
943C2×C47C2×#54611yescharacteristic
944C2×C47#358511yescharacteristic
945C2×C47#358611yescharacteristic
946D47—22no—
947D47—41no—
948D47—41no—
949D47—42no—
950D47—81no—
951C2×H(5,𝔽2)—471no—
952C22×#41—471no—
953C2×#137—471no—
954C2×AGL(1,ℤ/8)—471no—
955C2×#135—471no—
956C2×#131—471no—
957C22×M16—471no—
958#554—471no—
959#554—471no—
960#554—941no—
961#553—471no—
962#553—471no—
963#553—941no—
964#552—471no—
965#552—471no—
966#552—941no—
967#547—471no—
968#547—471no—
969#547—471no—
970#547—471no—
971#547—941no—
972#547—941no—
973#547—941no—
974#547C2×D4711yescharacteristic
975#547C2×D4711yescharacteristic, complemented
976#546—471no—
977#546—471no—
978#546—471no—
979#546—471no—
980#546—941no—
981#546—941no—
982#544—471no—
983#539—941no—
984#539—941no—
985#537—471no—
986#536—471no—
987#536—471no—
988#534—941no—
989#534—941no—
990#525—471no—
991#525—471no—
992#525—471no—
993#525—941no—
994#525—941no—
995C2×#123—941no—
996C2×#123—941no—
997#520—471no—
998#520—471no—
999#518—471no—
1000C22×C4⋊C4—471no—
1001#491—471no—
1002#491—471no—
1003#489—471no—
1004#489—471no—
1005#488—471no—
1006#488—471no—
1007#487—471no—
1008#487C2×D4711yescharacteristic, complemented
1009#485—471no—
1010#485—471no—
1011#485—471no—
1012#485—471no—
1013#484—471no—
1014#484—471no—
1015#484C2×D4711yescharacteristic, complemented
1016#484C2×D4711yescharacteristic, complemented
1017#483—471no—
1018#483—471no—
1019#483—471no—
1020#483—471no—
1021#481—471no—
1022#481—471no—
1023#480—471no—
1024#480—471no—
1025#478—471no—
1026#478—471no—
1027#478—471no—
1028#478—471no—
1029#476—471no—
1030#476—471no—
1031#474—471no—
1032#474C2×D4711yescharacteristic, complemented
1033#470—471no—
1034#470—471no—
1035#470—471no—
1036#470—471no—
1037#469—471no—
1038#469—471no—
1039#468—471no—
1040#468—471no—
1041#468—471no—
1042#468—471no—
1043#468C2×D4711yescharacteristic, complemented
1044#468C2×D4711yescharacteristic, complemented
1045#467—471no—
1046#467—471no—
1047#465—471no—
1048#465—471no—
1049#464—471no—
1050#464—471no—
1051#463—471no—
1052#463—471no—
1053#462—471no—
1054#462—471no—
1055#461—471no—
1056#461C2×D4711yescharacteristic, complemented
1057#452—471no—
1058#452—471no—
1059#452—471no—
1060#452—471no—
1061#452—471no—
1062#452—471no—
1063#450—471no—
1064#450—471no—
1065#449—471no—
1066#449—471no—
1067#449—471no—
1068#449—471no—
1069#449C2×D4711yescharacteristic, complemented
1070#449C2×D4711yescharacteristic, complemented
1071#447—471no—
1072#447—471no—
1073#442—471no—
1074#442—471no—
1075#440—471no—
1076#440—471no—
1077C4×SD16—471no—
1078C4×SD16—471no—
1079C4×D8—471no—
1080C4×D8C2×D4711yescharacteristic, complemented
1081#436—471no—
1082#436—471no—
1083#436—471no—
1084#436C2×D4711yescharacteristic, complemented
1085#435—471no—
1086#435—471no—
1087#435—471no—
1088#435—471no—
1089#428—471no—
1090#428—471no—
1091#427—471no—
1092#424—471no—
1093#419—471no—
1094#418—471no—
1095#418—471no—
1096#418—471no—
1097#417—471no—
1098#417—471no—
1099#417—471no—
1100#417—471no—
1101#417—471no—
1102#417—471no—
1103#417—471no—
1104#417—471no—
1105#417—471no—
1106#417—471no—
1107#417C2×D4711yescharacteristic, complemented
1108#417C2×D4711yescharacteristic, complemented
1109#416—471no—
1110#416—471no—
1111#416—471no—
1112#416—471no—
1113C2×#103—471no—
1114C2×#103—471no—
1115C2×#102—471no—
1116C2×#102—471no—
1117C2×#102—471no—
1118C2×#102—471no—
1119#408—471no—
1120#407—471no—
1121#405—471no—
1122C47#6117711yescharacteristic, complemented, Sylow
1123H(5,𝔽2)—944no—
1124H(5,𝔽2)—1882no—
1125C2×#41—21no—
1126C2×#41—471no—
1127C2×#41—471no—
1128C2×#41—471no—
1129C2×#41—471no—
1130C2×#41—471no—
1131C2×#41—471no—
1132C2×#41—471no—
1133C2×#41—941no—
1134C2×#41—941no—
1135C2×#41—941no—
1136C2×#41—941no—
1137C2×#41—944no—
1138C2×#41—1882no—
1139C2×#41C22×D4711yescharacteristic
1140C2×#41C22×D4711yescharacteristic
1141C22×Q8—471no—
1142C22×D4—471no—
1143C22×D4—471no—
1144C22×D4—471no—
1145C22×D4—941no—
1146C22×D4—941no—
1147C22×D4—941no—
1148C22×D4—941no—
1149C23×C4—471no—
1150C23×C4—941no—
1151C23×C4—941no—
1152#137—1882no—
1153AGL(1,ℤ/8)—944no—
1154#135—1882no—
1155C2×Q16—471no—
1156C2×Q16—471no—
1157C2×Q16—471no—
1158C2×SD16—471no—
1159C2×SD16—471no—
1160C2×SD16—471no—
1161C2×SD16—471no—
1162C2×SD16C22×D4711yescharacteristic
1163C2×SD16C22×D4711yescharacteristic
1164C2×D8—471no—
1165C2×D8—471no—
1166C2×D8C22×D4711yescharacteristic
1167#131—1882no—
1168C2×M16—471no—
1169C2×M16—471no—
1170C2×M16—471no—
1171C2×M16—471no—
1172C2×M16—471no—
1173C2×M16—471no—
1174C2×M16—1882no—
1175C2×M16C22×D4711yescharacteristic
1176C2×M16C22×D4711yescharacteristic
1177C22×C8—471no—
1178C22×C8—471no—
1179C22×C8—471no—
1180C22×C8—471no—
1181C4⋊Q8—471no—
1182C4⋊Q8—471no—
1183C4⋊Q8—941no—
1184C4⋊Q8—941no—
1185C4⋊Q8C22×D4711yescharacteristic
1186C4⋊Q8C22×D4711yescharacteristic
1187#126—941no—
1188#126—941no—
1189#126—941no—
1190#126—941no—
1191#125—471no—
1192#125—471no—
1193#125—941no—
1194#125—941no—
1195#125—941no—
1196#125—941no—
1197#125—941no—
1198#124—471no—
1199#124—471no—
1200#124—941no—
1201#123—21no—
1202#123—21no—
1203#123—21no—
1204#123—21no—
1205#123—471no—
1206#123—471no—
1207#123—941no—
1208#123—941no—
1209#123—941no—
1210#123—941no—
1211#123—941no—
1212#123—941no—
1213#123—941no—
1214#123—941no—
1215#123—941no—
1216#123—941no—
1217#123—941no—
1218#123—941no—
1219#123—941no—
1220#123—941no—
1221#123—941no—
1222#123—941no—
1223#123—941no—
1224#123—941no—
1225#123—941no—
1226#123—941no—
1227#123—941no—
1228#123—941no—
1229C22⋊Q8—21no—
1230C22⋊Q8—471no—
1231C22⋊Q8—471no—
1232C22⋊Q8—471no—
1233C22⋊Q8—471no—
1234C22⋊Q8—471no—
1235C22⋊Q8—471no—
1236C22⋊Q8—471no—
1237C22⋊Q8—471no—
1238C22⋊Q8—471no—
1239C22⋊Q8—471no—
1240C22⋊Q8—941no—
1241C22⋊Q8—941no—
1242C22⋊Q8—941no—
1243C22⋊Q8—941no—
1244C22⋊Q8—941no—
1245C22⋊Q8—941no—
1246C22⋊Q8—941no—
1247C22⋊Q8—941no—
1248C22⋊Q8—941no—
1249C22⋊Q8—941no—
1250C22⋊Q8C22×D4711yescharacteristic
1251C22⋊Q8C22×D4711yescharacteristic
1252#121—21no—
1253#121—471no—
1254#121—471no—
1255#121—471no—
1256#121—471no—
1257#121—471no—
1258#121—471no—
1259#121—941no—
1260#121—941no—
1261#121—941no—
1262#121—941no—
1263#121—941no—
1264#121—941no—
1265#121—941no—
1266#121—941no—
1267#121—941no—
1268#121—941no—
1269#121—941no—
1270#121—941no—
1271#121C22×D4711yescharacteristic
1272#121C22×D4711yescharacteristic
1273#120—471no—
1274#120—471no—
1275#120—941no—
1276#120—941no—
1277#120—941no—
1278#120—941no—
1279#120—941no—
1280#120—941no—
1281C4×Q8—471no—
1282C4×Q8—471no—
1283C4×Q8—941no—
1284C4×D4—471no—
1285C4×D4—471no—
1286C4×D4—471no—
1287C4×D4—471no—
1288C4×D4—471no—
1289C4×D4—471no—
1290C4×D4—471no—
1291C4×D4—941no—
1292C4×D4—941no—
1293C4×D4—941no—
1294C4×D4—941no—
1295C4×D4—941no—
1296C4×D4—941no—
1297C4×D4—941no—
1298C4×D4—941no—
1299C4×D4—941no—
1300C4×D4—941no—
1301C4×D4—941no—
1302C4×D4—941no—
1303C4×D4—941no—
1304C4×D4—941no—
1305C4×D4—941no—
1306C4×D4C22×D4711yescharacteristic
1307C4×D4C22×D4711yescharacteristic
1308C4×D4C22×D4711yescharacteristic
1309#117—471no—
1310#117—471no—
1311#117—471no—
1312#117—471no—
1313#117—471no—
1314#117—941no—
1315#117—941no—
1316#117—941no—
1317C2×C4⋊C4—21no—
1318C2×C4⋊C4—471no—
1319C2×C4⋊C4—471no—
1320C2×C4⋊C4—471no—
1321C2×C4⋊C4—471no—
1322C2×C4⋊C4—471no—
1323C2×C4⋊C4—471no—
1324C2×C4⋊C4—941no—
1325C2×C4⋊C4—941no—
1326C2×C4⋊C4—941no—
1327C2×C4⋊C4—941no—
1328C2×C4⋊C4—941no—
1329C2×C4⋊C4—941no—
1330C2×C4⋊C4—941no—
1331C2×C4⋊C4C22×D4711yescharacteristic
1332C2×C4⋊C4C22×D4711yescharacteristic
1333C2×C22⋊C4—941no—
1334C2×C22⋊C4—941no—
1335C2×C22⋊C4—941no—
1336C2×C22⋊C4—941no—
1337C2×C22⋊C4—941no—
1338C2×C22⋊C4—941no—
1339#107—471no—
1340#107—471no—
1341#107—471no—
1342#107C22×D4711yescharacteristic
1343#107C22×D4711yescharacteristic
1344#107C22×D4711yescharacteristic
1345#106—471no—
1346#106—471no—
1347#106—471no—
1348#106—471no—
1349#106—471no—
1350#106—471no—
1351C4⋊C8—471no—
1352C4⋊C8—471no—
1353C4⋊C8—471no—
1354C4⋊C8C22×D4711yescharacteristic
1355#103—471no—
1356#103—471no—
1357#103—471no—
1358#103—471no—
1359#103—471no—
1360#103—471no—
1361#103—471no—
1362#103—471no—
1363#103—471no—
1364#103—471no—
1365#103—471no—
1366#103—471no—
1367#103—471no—
1368#103—471no—
1369#103C22×D4711yescharacteristic
1370#103C22×D4711yescharacteristic
1371#103C22×D4711yescharacteristic
1372#103C22×D4711yescharacteristic
1373#103C22×D4711yescharacteristic
1374#103C22×D4711yescharacteristic
1375#102—471no—
1376#102—471no—
1377#102—471no—
1378#102—471no—
1379#102—471no—
1380#102—471no—
1381#102—471no—
1382#102—471no—
1383#102—471no—
1384#102—471no—
1385#102—471no—
1386#102—471no—
1387#102—471no—
1388#102—471no—
1389#102—471no—
1390#102—471no—
1391#102C22×D4711yescharacteristic
1392#102C22×D4711yescharacteristic
1393#102C22×D4711yescharacteristic
1394#102C22×D4711yescharacteristic
1395C22⋊C8—471no—
1396C22⋊C8—471no—
1397C22⋊C8—471no—
1398C22⋊C8—471no—
1399C22⋊C8—471no—
1400C22⋊C8—471no—
1401C22⋊C8C22×D4711yescharacteristic
1402C22⋊C8C22×D4711yescharacteristic
1403#97—471no—
1404#97—471no—
1405C4×C8—471no—
1406C4×C8C22×D4711yescharacteristic
1407C24—471no—
1408C24—941no—
1409C24—941no—
1410C24—941no—
1411#41—22no—
1412#41—22no—
1413#41—41no—
1414#41—41no—
1415#41—82no—
1416#41—942no—
1417#41—942no—
1418#41—942no—
1419#41—942no—
1420#41—942no—
1421#41—942no—
1422#41—942no—
1423#41—942no—
1424#41—942no—
1425#41—942no—
1426#41—3762no—
1427#41—1881no—
1428#41—1884no—
1429#41—1884no—
1430#41—1881no—
1431#41—1884no—
1432#41—1881no—
1433#41—1881no—
1434C2×Q8—21no—
1435C2×Q8—471no—
1436C2×Q8—471no—
1437C2×Q8—471no—
1438C2×Q8—941no—
1439C2×Q8—941no—
1440C2×Q8—942no—
1441C2×Q8—942no—
1442C2×Q8C23×D4711yescharacteristic
1443C2×Q8C23×D4711yescharacteristic
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—474no—
1449C2×D4—471no—
1450C2×D4—471no—
1451C2×D4—471no—
1452C2×D4—471no—
1453C2×D4—471no—
1454C2×D4—471no—
1455C2×D4—471no—
1456C2×D4—471no—
1457C2×D4—942no—
1458C2×D4—941no—
1459C2×D4—941no—
1460C2×D4—941no—
1461C2×D4—941no—
1462C2×D4—942no—
1463C2×D4—941no—
1464C2×D4—941no—
1465C2×D4—942no—
1466C2×D4—941no—
1467C2×D4—941no—
1468C2×D4—941no—
1469C2×D4—941no—
1470C2×D4—941no—
1471C2×D4—941no—
1472C2×D4—941no—
1473C2×D4—1881no—
1474C2×D4—1884no—
1475C2×D4—1881no—
1476C2×D4—1884no—
1477C2×D4—1884no—
1478C2×D4—1884no—
1479C2×D4D4×D4711yescharacteristic
1480C2×D4C23×D4711yescharacteristic
1481C2×D4C23×D4711yescharacteristic
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—471no—
1489C22×C4—471no—
1490C22×C4—471no—
1491C22×C4—471no—
1492C22×C4—471no—
1493C22×C4—471no—
1494C22×C4—942no—
1495C22×C4—942no—
1496C22×C4—941no—
1497C22×C4—941no—
1498C22×C4—941no—
1499C22×C4—941no—
1500C22×C4—941no—
1501C22×C4—941no—
1502C22×C4—941no—
1503C22×C4—941no—
1504C22×C4—941no—
1505C22×C4—941no—
1506C22×C4—941no—
1507C22×C4—941no—
1508C22×C4—941no—
1509C22×C4—941no—
1510C22×C4—941no—
1511C22×C4—941no—
1512C22×C4—941no—
1513C22×C4—3762no—
1514C22×C4—1884no—
1515C22×C4C23×D4711yescharacteristic
1516C22×C4C23×D4711yescharacteristic
1517Q16—1881no—
1518Q16—1881no—
1519Q16—1881no—
1520SD16—41no—
1521SD16—41no—
1522SD16—942no—
1523SD16—942no—
1524SD16—1881no—
1525SD16—1881no—
1526D8—22no—
1527D8—942no—
1528D8—1881no—
1529M16—41no—
1530M16—41no—
1531M16—942no—
1532M16—942no—
1533M16—1881no—
1534M16—1881no—
1535M16—1881no—
1536M16—1881no—
1537C2×C8—471no—
1538C2×C8—471no—
1539C2×C8—471no—
1540C2×C8—471no—
1541C2×C8—942no—
1542C2×C8—942no—
1543C2×C8—1881no—
1544C2×C8—1881no—
1545C2×C8C23×D4711yescharacteristic
1546C2×C8C23×D4711yescharacteristic
1547C2×C8C23×D4711yescharacteristic
1548C2×C8C23×D4711yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—471no—
1557C4⋊C4—471no—
1558C4⋊C4—471no—
1559C4⋊C4—471no—
1560C4⋊C4—471no—
1561C4⋊C4—471no—
1562C4⋊C4—471no—
1563C4⋊C4—471no—
1564C4⋊C4—471no—
1565C4⋊C4—941no—
1566C4⋊C4—941no—
1567C4⋊C4—941no—
1568C4⋊C4—941no—
1569C4⋊C4—941no—
1570C4⋊C4—941no—
1571C4⋊C4—941no—
1572C4⋊C4—941no—
1573C4⋊C4—941no—
1574C4⋊C4—941no—
1575C4⋊C4—941no—
1576C4⋊C4—941no—
1577C4⋊C4—941no—
1578C4⋊C4—941no—
1579C4⋊C4—941no—
1580C4⋊C4—941no—
1581C4⋊C4—941no—
1582C4⋊C4—941no—
1583C4⋊C4—941no—
1584C4⋊C4—941no—
1585C4⋊C4—941no—
1586C4⋊C4—941no—
1587C4⋊C4—941no—
1588C4⋊C4D4×D4711yescharacteristic
1589C4⋊C4C23×D4711yescharacteristic
1590C4⋊C4C23×D4711yescharacteristic
1591C4⋊C4C23×D4711yescharacteristic
1592C4⋊C4C23×D4711yescharacteristic
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—471no—
1600C22⋊C4—471no—
1601C22⋊C4—471no—
1602C22⋊C4—471no—
1603C22⋊C4—471no—
1604C22⋊C4—471no—
1605C22⋊C4—471no—
1606C22⋊C4—471no—
1607C22⋊C4—941no—
1608C22⋊C4—941no—
1609C22⋊C4—941no—
1610C22⋊C4—941no—
1611C22⋊C4—941no—
1612C22⋊C4—941no—
1613C22⋊C4—941no—
1614C22⋊C4—941no—
1615C22⋊C4—941no—
1616C22⋊C4—941no—
1617C22⋊C4—941no—
1618C22⋊C4—941no—
1619C22⋊C4—941no—
1620C22⋊C4—941no—
1621C22⋊C4—941no—
1622C22⋊C4—941no—
1623C22⋊C4—941no—
1624C22⋊C4—941no—
1625C22⋊C4—941no—
1626C22⋊C4—941no—
1627C22⋊C4—941no—
1628C22⋊C4—941no—
1629C22⋊C4—941no—
1630C22⋊C4—941no—
1631C22⋊C4D4×D4711yescharacteristic
1632C22⋊C4D4×D4711yescharacteristic
1633C42—471no—
1634C42—941no—
1635C42—941no—
1636C42—941no—
1637C42—941no—
1638C42—941no—
1639C42—941no—
1640C42C23×D4711yescharacteristic
1641C23—21no—
1642C23—21no—
1643C23—471no—
1644C23—471no—
1645C23—471no—
1646C23—944no—
1647C23—942no—
1648C23—941no—
1649C23—941no—
1650C23—3761no—
1651C23—3761no—
1652C23—3761no—
1653C23—3761no—
1654C23—3761no—
1655C23—3761no—
1656C23—1881no—
1657C23—1881no—
1658C23—1882no—
1659C23—1882no—
1660C23C2×D4×D4711yescharacteristic
1661C23C2×D4×D4711yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—81no—
1667Q8—942no—
1668Q8—941no—
1669Q8—941no—
1670Q8—941no—
1671Q8—941no—
1672Q8—3761no—
1673Q8—1882no—
1674D4—21no—
1675D4—21no—
1676D4—21no—
1677D4—41no—
1678D4—42no—
1679D4—42no—
1680D4—42no—
1681D4—81no—
1682D4—472no—
1683D4—942no—
1684D4—944no—
1685D4—942no—
1686D4—942no—
1687D4—941no—
1688D4—941no—
1689D4—941no—
1690D4—3761no—
1691D4—3761no—
1692D4—3761no—
1693D4—1881no—
1694D4—1882no—
1695D4—1882no—
1696D4—1882no—
1697D4—1882no—
1698D4—1881no—
1699D4—1881no—
1700D4—1882no—
1701D4—1882no—
1702D4—1882no—
1703D4—1882no—
1704D4—1882no—
1705D4#41×D4712yes—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—42no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—81no—
1720C2×C4—81no—
1721C2×C4—81no—
1722C2×C4—471no—
1723C2×C4—472no—
1724C2×C4—472no—
1725C2×C4—471no—
1726C2×C4—471no—
1727C2×C4—471no—
1728C2×C4—471no—
1729C2×C4—942no—
1730C2×C4—942no—
1731C2×C4—942no—
1732C2×C4—941no—
1733C2×C4—941no—
1734C2×C4—941no—
1735C2×C4—941no—
1736C2×C4—941no—
1737C2×C4—941no—
1738C2×C4—941no—
1739C2×C4—941no—
1740C2×C4—941no—
1741C2×C4—941no—
1742C2×C4—3761no—
1743C2×C4—3761no—
1744C2×C4—3761no—
1745C2×C4—3761no—
1746C2×C4—3761no—
1747C2×C4—3761no—
1748C2×C4—3761no—
1749C2×C4—3761no—
1750C2×C4—3761no—
1751C2×C4—1882no—
1752C2×C4—1882no—
1753C2×C4—1882no—
1754C2×C4—1882no—
1755C2×C4—1882no—
1756C2×C4—1882no—
1757C2×C4—1882no—
1758C2×C4—1882no—
1759C2×C4C2×D4×D4711yescharacteristic
1760C2×C4C2×D4×D4711yescharacteristic
1761C2×C4C2×D4×D4711yescharacteristic
1762C2×C4C2×D4×D4711yescharacteristic
1763C2×C4C24×D4711yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—941no—
1769C8—941no—
1770C8—941no—
1771C8—941no—
1772C22—21no—
1773C22—21no—
1774C22—22no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—472no—
1785C22—941no—
1786C22—941no—
1787C22—941no—
1788C22—941no—
1789C22—942no—
1790C22—941no—
1791C22—941no—
1792C22—941no—
1793C22—941no—
1794C22—3764no—
1795C22—1884no—
1796C22—1881no—
1797C22—1881no—
1798C22—1881no—
1799C22—1881no—
1800C22—1881no—
1801C22—7522no—
1802C22—7522no—
1803C22C22×D4×D4711yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—472no—
1815C4—941no—
1816C4—941no—
1817C4—941no—
1818C4—941no—
1819C4—1881no—
1820C4—1881no—
1821C4—1881no—
1822C4—1881no—
1823C4—1881no—
1824C4—1881no—
1825C4C2×#41×D4711yescharacteristic
1826C4H(5,𝔽2)×D4711yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—42no—
1830C2—81no—
1831C2—942no—
1832C2—3761no—
1833C2—1881no—
1834C2—1881no—
1835C2—1882no—
1836C2#546×D4711yescharacteristic
1837C2#2025816411yescharacteristic
1838C2#2025817311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3330C2
socleC22×C47C23×D4
hypercenter#3330D47
hypocenterC47#61177
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3330

Complements

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

NH ≅ G/Ntype
1. #20257090C2semidirect
2. #20257027C2semidirect
3. #20255703C2semidirect
4. #20255700C2semidirect
5. #20255688C2semidirect
6. #20255606C2semidirect
7. #20255605C2semidirect
8. #20255595C2semidirect
9. #20255594C2semidirect
10. #20255487C2semidirect
11. #20255484C2semidirect
12. #20255467C2semidirect
13. #20255466C2semidirect
14. #20255371C2semidirect
15. #20255368C2semidirect
16. #20255343C2semidirect
17. #20255342C2semidirect
18. #20253748C2semidirect
19. #20253356C2semidirect
20. #20253315C2semidirect
21. #20253212C2semidirect
22. #20253074C2semidirect
23. #20252992C2semidirect
24. #20252933C2semidirect
25. #20252690C2semidirect
26. #20252626C2semidirect
27. #20252213C2semidirect
28. #20252088C2semidirect
29. #20251912C2semidirect
30. #417×D47C2semidirect
31. C47×#3330C2semidirect
34. C2×#13094053C22semidirect
38. C2×M16×D47C22semidirect
39. #15689834C22semidirect
40. #15689828C22semidirect
42. #15689823C22semidirect
43. #15689820C22semidirect
45. #15689813C22semidirect
47. #15689808C22semidirect
51. #15689773C22semidirect
61. #15689750C22semidirect
70. #15689633C22semidirect
77. #15689602C22semidirect
79. C2×C4⋊C4×D47C22semidirect
80. #15689491C22semidirect
81. #15689490C22semidirect
82. #15689485C22semidirect
83. #15689484C22semidirect
84. #15689479C22semidirect
85. #15689478C22semidirect
86. #15689472C22semidirect
87. #15689466C22semidirect
88. #15689465C22semidirect
89. #15689463C22semidirect
90. #15689461C22semidirect
91. #15689460C22semidirect
92. #15689456C22semidirect
93. #15689453C22semidirect
94. #15689452C22semidirect
95. #15689452C22semidirect
96. #15689452C22semidirect
97. #15689442C22semidirect
98. #15689441C22semidirect
99. #15689438C22semidirect
100. #15689438C22semidirect
101. #15689426C22semidirect
102. #15689424C22semidirect
103. #15689423C22semidirect
104. #15689421C22semidirect
105. #15689411C22semidirect
106. #15689410C22semidirect
107. #15689402C22semidirect
108. #15689381C22semidirect
109. #15689380C22semidirect
110. #15689380C22semidirect
111. #15689379C22semidirect
112. #15689375C22semidirect
113. #15689374C22semidirect
114. #15689370C22semidirect
115. #15689369C22semidirect
116. #15689368C22semidirect
117. #15689366C22semidirect
118. #15689365C22semidirect
119. #15689362C22semidirect
120. #15689350C22semidirect
121. #15689349C22semidirect
122. #15689348C22semidirect
123. #15689346C22semidirect
124. #15689340C22semidirect
125. #15689338C22semidirect
126. #15689332C22semidirect
127. #15689330C22semidirect
128. #15689326C22semidirect
129. #15689288C22semidirect
130. #15689288C22semidirect
131. #15689287C22semidirect
132. #15689286C22semidirect
133. #15689285C22semidirect
134. #15689285C22semidirect
135. #15689276C22semidirect
136. #15689275C22semidirect
137. #15689267C22semidirect
138. #15689267C22semidirect
139. #15689266C22semidirect
140. #15689265C22semidirect
141. #15689256C22semidirect
142. #15689255C22semidirect
143. #15689235C22semidirect
144. #15689233C22semidirect
145. #15689223C22semidirect
146. #15689222C22semidirect
147. #15689214C22semidirect
148. C4×#10625325C22semidirect
149. #15689203C22semidirect
150. #15689202C22semidirect
151. #15689199C22semidirect
152. #15689199C22semidirect
153. #15689197C22semidirect
154. #15689195C22semidirect
155. #15689193C22semidirect
156. #15689191C22semidirect
157. #15689164C22semidirect
158. #15689164C22semidirect
159. #15689160C22semidirect
160. #15689148C22semidirect
161. #15689130C22semidirect
162. #15689129C22semidirect
164. #15689126C22semidirect
165. #15689125C22semidirect
166. #15689124C22semidirect
169. #15689123C22semidirect
170. #15689123C22semidirect
171. #15689123C22semidirect
172. #15689122C22semidirect
173. #15689121C22semidirect
174. #15689121C22semidirect
175. #15689119C22semidirect
177. #15689118C22semidirect
178. #15689116C22semidirect
179. #103×D47C22semidirect
180. #103×D47C22semidirect
181. C2×#13093944C22semidirect
184. #102×D47C22semidirect
186. #15689085C22semidirect
187. #15689077C22semidirect
189. C47×#547C22semidirect
190. C47×#487C22semidirect
191. C47×#484C22semidirect
192. C47×#484C22semidirect
193. C47×#474C22semidirect
194. C47×#468C22semidirect
195. C47×#468C22semidirect
196. C47×#461C22semidirect
197. C47×#449C22semidirect
198. C47×#449C22semidirect
199. C4×D8×C47C22semidirect
200. C47×#436C22semidirect
201. C47×#417C22semidirect
202. C47×#417C22semidirect
552. D4×D47#41semidirect
913. #3330D47semidirect
975. #547C2×D47semidirect
1008. #487C2×D47semidirect
1015. #484C2×D47semidirect
1016. #484C2×D47semidirect
1032. #474C2×D47semidirect
1043. #468C2×D47semidirect
1044. #468C2×D47semidirect
1056. #461C2×D47semidirect
1069. #449C2×D47semidirect
1070. #449C2×D47semidirect
1080. C4×D8C2×D47semidirect
1084. #436C2×D47semidirect
1107. #417C2×D47semidirect
1108. #417C2×D47semidirect
1122. C47#61177semidirect

Maximal subgroups

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

subgroupindex
#202570902
#202570272
#202557032
#202557002
#202556882
#202556062
#202556052
#202555952
#202555942
#202554872
#202554842
#202554672
#202554662
#202553712
#202553682
#202553432
#202553422
#202537482
#202533562
#202533152
#202532122
#202530742
#202529922
#202529332
#202526902
#202526262
#202522132
#202520882
#202519122
#417×D472
C47×#33302
#6117747