Finite Group Databasebeta

← #27103294

Subgroups — #27103294

Order 12032.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257812C211yesmaximal, characteristic, complemented
2#20257151C211yesmaximal, characteristic, complemented
3#20255602C211yesmaximal, characteristic, complemented
4#20255595C211yesmaximal, characteristic, complemented
5#20255524C211yesmaximal, characteristic, complemented
6#20255482C211yesmaximal, characteristic, complemented
7#20255412C211yesmaximal, characteristic, complemented
8#20255370C211yesmaximal, characteristic, complemented
9#20255233C211yesmaximal, characteristic, complemented
10#20255226C211yesmaximal, characteristic, complemented
11#20255092C211yesmaximal, characteristic, complemented
12#20255066C211yesmaximal, characteristic, complemented
13#20255026C211yesmaximal, characteristic, complemented
14#20254999C211yesmaximal, characteristic, complemented
15#20254950C211yesmaximal, characteristic, complemented
16#20254911C211yesmaximal, characteristic, complemented
17#20254880C211yesmaximal, characteristic, complemented
18#20254861C211yesmaximal, characteristic, complemented
19#20254423C211yesmaximal, characteristic, complemented
20#20254361C211yesmaximal, characteristic, complemented
21#20254301C211yesmaximal, characteristic, complemented
22#20254288C211yesmaximal, characteristic, complemented
23#20254264C211yesmaximal, characteristic, complemented
24#20253523C211yesmaximal, characteristic, complemented
25#20253432C211yesmaximal, characteristic, complemented
26#20252690C211yesmaximal, characteristic, complemented
27#20252690C211yesmaximal, characteristic, complemented
28#20252667C211yesmaximal, characteristic, complemented
29#20252654C211yesmaximal, characteristic, complemented
30#20252461C211yesmaximal, characteristic, complemented
31C47×#3198C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic
33C2×#13094070C2211yescharacteristic, complemented
34C2×#13094057C2211yescharacteristic, complemented
35C2×#13094050C2211yescharacteristic, complemented
36C2×#13094048C2211yescharacteristic, complemented
37C2×#13094048C2211yescharacteristic, complemented
38C2×#13094045C2211yescharacteristic, complemented
39C2×#13094045C2211yescharacteristic, complemented
40C22×#10625325C2211yescharacteristic, complemented
41C22×#10625334C2211yescharacteristic, complemented
42#15689873—21no—
43#15689862—21no—
44#15689835—21no—
45#15689820C2211yescharacteristic, complemented
46#15689820C2211yescharacteristic, complemented
47#15689812C2211yescharacteristic, complemented
48#15689812C2211yescharacteristic, complemented
49#15689804—21no—
50#15689779C2211yescharacteristic, complemented
51#15689779C2211yescharacteristic, complemented
52#15689775—21no—
53#15689775C2211yescharacteristic
54#15689775C2211yescharacteristic, complemented
55#15689770—21no—
56#15689770C2211yescharacteristic
57#15689770C2211yescharacteristic, complemented
58#15689767C2211yescharacteristic, complemented
59#15689767C2211yescharacteristic, complemented
60#15689764—21no—
61#15689764C2211yescharacteristic
62#15689764C2211yescharacteristic, complemented
63#15689757—21no—
64#15689757C2211yescharacteristic
65#15689757C2211yescharacteristic, complemented
66#15689727—21no—
67#15689727—21no—
68#15689708—21no—
69#15689708—21no—
70#15689704C2211yescharacteristic, complemented
71#15689702C2211yescharacteristic, complemented
72#15689702C2211yescharacteristic, complemented
73#15689694C2211yescharacteristic, complemented
74#15689681—21no—
75#15689681—21no—
76#15689669C2211yescharacteristic
77#15689669C2211yescharacteristic, complemented
78#15689654C2211yescharacteristic, complemented
79#15689654C2211yescharacteristic, complemented
80#121×D47—21no—
81#121×D47—21no—
82C2×#13093986C2211yescharacteristic, complemented
83#15689514C2211yescharacteristic, complemented
84#15689511C2211yescharacteristic, complemented
85#15689506C2211yescharacteristic, complemented
86#15689504C2211yescharacteristic, complemented
87#15689490C2211yescharacteristic, complemented
88#15689486C2211yescharacteristic, complemented
89#15689479C2211yescharacteristic, complemented
90#15689476C2211yescharacteristic, complemented
91#15689461C2211yescharacteristic, complemented
92#15689460C2211yescharacteristic, complemented
93#15689458C2211yescharacteristic, complemented
94#15689455C2211yescharacteristic, complemented
95#15689453C2211yescharacteristic, complemented
96#15689444C2211yescharacteristic, complemented
97#15689443C2211yescharacteristic, complemented
98#15689438C2211yescharacteristic, complemented
99#15689426C2211yescharacteristic, complemented
100#15689426C2211yescharacteristic, complemented
101#15689422C2211yescharacteristic, complemented
102#15689422C2211yescharacteristic, complemented
103#15689382C2211yescharacteristic, complemented
104#15689379C2211yescharacteristic, complemented
105#15689375C2211yescharacteristic, complemented
106#15689370C2211yescharacteristic, complemented
107#15689368C2211yescharacteristic, complemented
108#15689367C2211yescharacteristic, complemented
109#15689365C2211yescharacteristic, complemented
110#15689362C2211yescharacteristic, complemented
111#15689358C2211yescharacteristic, complemented
112#15689353C2211yescharacteristic, complemented
113#15689351C2211yescharacteristic, complemented
114#15689350C2211yescharacteristic, complemented
115#15689348C2211yescharacteristic, complemented
116#15689344C2211yescharacteristic, complemented
117#15689340C2211yescharacteristic, complemented
118#15689337C2211yescharacteristic, complemented
119#15689337C2211yescharacteristic, complemented
120#15689337C2211yescharacteristic, complemented
121#15689337C2211yescharacteristic, complemented
122#15689336C2211yescharacteristic, complemented
123#15689332C2211yescharacteristic, complemented
124#15689326C2211yescharacteristic, complemented
125#15689322C2211yescharacteristic, complemented
126#15689316C2211yescharacteristic, complemented
127#15689288C2211yescharacteristic, complemented
128#15689288C2211yescharacteristic, complemented
129#15689287C2211yescharacteristic, complemented
130#15689287C2211yescharacteristic, complemented
131#15689287C2211yescharacteristic, complemented
132#15689287C2211yescharacteristic, complemented
133#15689286C2211yescharacteristic, complemented
134#15689286C2211yescharacteristic, complemented
135#15689285C2211yescharacteristic, complemented
136#15689285C2211yescharacteristic, complemented
137#15689278C2211yescharacteristic, complemented
138#15689276C2211yescharacteristic, complemented
139#15689276C2211yescharacteristic, complemented
140#15689276C2211yescharacteristic, complemented
141#15689276C2211yescharacteristic, complemented
142#15689275C2211yescharacteristic, complemented
143#15689275C2211yescharacteristic, complemented
144#15689269C2211yescharacteristic, complemented
145#15689269C2211yescharacteristic, complemented
146#15689267C2211yescharacteristic, complemented
147#15689267C2211yescharacteristic, complemented
148#15689266C2211yescharacteristic, complemented
149#15689266C2211yescharacteristic, complemented
150#15689266C2211yescharacteristic, complemented
151#15689266C2211yescharacteristic, complemented
152#15689261C2211yescharacteristic, complemented
153#15689256C2211yescharacteristic
154#15689256C2211yescharacteristic
155#15689256C2211yescharacteristic, complemented
156#15689256C2211yescharacteristic, complemented
157#15689255C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689232C2211yescharacteristic, complemented
160#15689232C2211yescharacteristic, complemented
161#15689222C2211yescharacteristic, complemented
162#15689222C2211yescharacteristic, complemented
163#15689210C2211yescharacteristic, complemented
164#15689210C2211yescharacteristic, complemented
165#15689203C2211yescharacteristic, complemented
166#15689203C2211yescharacteristic, complemented
167#15689199C2211yescharacteristic, complemented
168#15689198C2211yescharacteristic, complemented
169#15689197C2211yescharacteristic, complemented
170#15689194C2211yescharacteristic, complemented
171#15689192C2211yescharacteristic, complemented
172#15689191C2211yescharacteristic, complemented
173C8×C22⋊D47C2211yescharacteristic, complemented
174(C22⋊D47)⋊C8C2211yescharacteristic, complemented
175#15689177C2211yescharacteristic, complemented
176#15689173C2211yescharacteristic, complemented
177#15689129C2211yescharacteristic, complemented
178#15689127C2211yescharacteristic, complemented
179#15689123C2211yescharacteristic, complemented
180#15689123C2211yescharacteristic, complemented
181#15689120C2211yescharacteristic, complemented
182#15689117C2211yescharacteristic, complemented
183#102×D47C2211yescharacteristic, complemented
184#102×D47C2211yescharacteristic, complemented
185#15689090C2211yescharacteristic, complemented
186#15689088C2211yescharacteristic, complemented
187#15689088C2211yescharacteristic, complemented
188C47×#537C2211yescharacteristic
189C47×#535C2211yescharacteristic, complemented
190C47×#485C2211yescharacteristic, complemented
191C47×#482C2211yescharacteristic, complemented
192C47×#481C2211yescharacteristic, complemented
193C47×#480C2211yescharacteristic, complemented
194C47×#469C2211yescharacteristic, complemented
195C47×#468C2211yescharacteristic, complemented
196C47×#466C2211yescharacteristic, complemented
197C47×#465C2211yescharacteristic, complemented
198C47×#450C2211yescharacteristic, complemented
199C47×#449C2211yescharacteristic, complemented
200C47×#449C2211yescharacteristic, complemented
201C47×#447C2211yescharacteristic, complemented
202C47×#408C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205#13094070—42no—
206#13094070—42no—
207C2×#10625354—21no—
208C2×#10625354C2311yescharacteristic
209C2×#10625354C2311yescharacteristic
210C2×#10625350—21no—
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625350C2311yescharacteristic
214C2×#10625350C2311yescharacteristic
215C2×#10625352C2311yescharacteristic
216C2×#10625352C2311yescharacteristic
217C22×Dic94C2311yescharacteristic
218C22×D188—21no—
219C22×D188C2311yescharacteristic
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×D47C2311yescharacteristic
230C2×D4×D47C2311yescharacteristic
231C22×C4×D47—21no—
232#13094057—42no—
233#13094050—42no—
234#13094048—42no—
235#13094048—42no—
236#13094045—42no—
237#13094045—42no—
238C2×Dic188C2311yescharacteristic
239C2×Dic188C2311yescharacteristic
240C2×#10625337C2311yescharacteristic
241C2×#10625337C2311yescharacteristic
242C2×#10625325—42no—
243C2×#10625325C2311yescharacteristic
244C2×#10625325C2311yescharacteristic
245C2×#10625325C2311yescharacteristic
246C2×#10625325C2311yescharacteristic
247C2×#10625325C2311yescharacteristic
248C2×#10625325C2311yescharacteristic
249C2×#10625335C2311yescharacteristic
250C2×#10625335C2311yescharacteristic
251C2×#10625335C2311yescharacteristic
252C2×#10625335C2311yescharacteristic
253C2×#10625334—42no—
254C2×#10625334C2311yescharacteristic
255C2×#10625334C2311yescharacteristic
256C2×#10625334C2311yescharacteristic
257C2×#10625334C2311yescharacteristic
258C2×#10625334C2311yescharacteristic
259C2×#10625334C2311yescharacteristic
260C2×#10625329C2311yescharacteristic
261C2×#10625324C2311yescharacteristic
262C2×#10625324C2311yescharacteristic
263C22×C47⋊C8C2311yescharacteristic
264C2×C8×D47C2311yescharacteristic
265C2×C8×D47C2311yescharacteristic
266#13094022—21no—
267#13094022D411yescharacteristic
268#13094022C2311yescharacteristic
269#13094020D411yescharacteristic
270#13094020C2311yescharacteristic
271#13094017—21no—
272#13094017—21no—
273#13094017—21no—
274#13094017—21no—
275#13094017—21no—
276#13094017—21no—
277#13094016—21no—
278#13094016—21no—
279#13094015C2311yescharacteristic
280#13094015C2311yescharacteristic
281#13094013D411yescharacteristic
282#13094013C2311yescharacteristic
283#13094011—21no—
284#13094011D411yescharacteristic
285#13094011C2311yescharacteristic
286#13094011C2311yescharacteristic
287#13094011C2311yescharacteristic
288#13094010—21no—
289#13094010—21no—
290#13094009—21no—
291#13094009—21no—
292#13094009—21no—
293#13094009—21no—
294#13094006—21no—
295#13094006—21no—
296#13094006—21no—
297#13094006—21no—
298#13094006—21no—
299#13094006—21no—
300#13094005—21no—
301#13094005—21no—
302#13094005—21no—
303#13094005—21no—
304#13094005—21no—
305#13094005—21no—
306#13094005—21no—
307#13094005—21no—
308#13094004—21no—
309#13094004C2311yescharacteristic
310#13094004C2311yescharacteristic
311#13094004C2311yescharacteristic
312#13094004C2311yescharacteristic
313#13094003C2311yescharacteristic
314#13094003C2311yescharacteristic
315#13094003C2311yescharacteristic
316#13094003C2311yescharacteristic
317#13094001—21no—
318#13094001—21no—
319#13094001—21no—
320#13094001—21no—
321#13093999—21no—
322#13093999—21no—
323#13093999—21no—
324#13093999C2311yescharacteristic
325#13093999C2311yescharacteristic
326#13093998—21no—
327#13093998—21no—
328#13093997—21no—
329#13093997—21no—
330#13093997—21no—
331#13093997—21no—
332#13093997—21no—
333#13093997—21no—
334#13093996—21no—
335#13093996—21no—
336#13093996—21no—
337#13093996—21no—
338#13093996—21no—
339#13093996—21no—
340#13093996—21no—
341#13093996—21no—
342#13093996D411yescharacteristic
343#13093996D411yescharacteristic
344#13093996D411yescharacteristic
345#13093996D411yescharacteristic
346#13093995—21no—
347#13093995—21no—
348#13093995—21no—
349#13093995—21no—
350#13093995—21no—
351#13093995—21no—
352#13093995C2311yescharacteristic
353#13093995C2311yescharacteristic
354#13093994—21no—
355#13093994—21no—
356#13093994—21no—
357#13093994—21no—
358#13093993—21no—
359#13093993—21no—
360#13093992—21no—
361#13093992—21no—
362#13093992—21no—
363#13093992—21no—
364#13093989C2311yescharacteristic
365#13093989C2311yescharacteristic
366D4×Dic47—21no—
367D4×Dic47—21no—
368D4×Dic47—21no—
369D4×Dic47—21no—
370D4×Dic47C2311yescharacteristic
371D4×Dic47C2311yescharacteristic
372#13093986—21no—
373#13093986—21no—
374#13093986C2311yescharacteristic
375#13093986C2311yescharacteristic
376#13093986C2311yescharacteristic
377#13093986C2311yescharacteristic
378C4×C22⋊D47—21no—
379C4×C22⋊D47—21no—
380C4×C22⋊D47C2311yescharacteristic
381C4×C22⋊D47C2311yescharacteristic
382C4×C22⋊D47C2311yescharacteristic
383C4×C22⋊D47C2311yescharacteristic
384(C22⋊D47)⋊C4—21no—
385(C22⋊D47)⋊C4—21no—
386#13093983C2311yescharacteristic
387#13093981—21no—
388#13093981—21no—
389#13093980—21no—
390#13093980—21no—
391C4⋊C4×D47—21no—
392C4⋊C4×D47—21no—
393C4⋊C4×D47C2311yescharacteristic
394C4⋊C4×D47C2311yescharacteristic
395C2×C22⋊Dic47—21no—
396C2×C22⋊Dic47—21no—
397C2×(C2×D47)⋊C4—21no—
398C22⋊C4×D47—21no—
399C22⋊C4×D47—21no—
400C22⋊C4×D47—21no—
401C22⋊C4×D47—21no—
402C2×C4×Dic47C2311yescharacteristic
403#13093957C2311yescharacteristic
404#13093957C2311yescharacteristic
405#13093955C2311yescharacteristic
406#13093955C2311yescharacteristic
407Dic47⋊C8C2311yescharacteristic
408Dic47⋊C8C2311yescharacteristic
409Dic47⋊C8C2311yescharacteristic
410Dic47⋊C8C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093946C2311yescharacteristic
426#13093946C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433#13093944C2311yescharacteristic
434#13093944C2311yescharacteristic
435C22⋊(C47⋊C8)C2311yescharacteristic
436C22⋊(C47⋊C8)C2311yescharacteristic
437C22⋊(C47⋊C8)C2311yescharacteristic
438C22⋊(C47⋊C8)C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442(C2×D47)⋊C8C2311yescharacteristic
443#13093934C2311yescharacteristic
444#13093934C2311yescharacteristic
445C8×Dic47C2311yescharacteristic
446C8×Dic47C2311yescharacteristic
447C2×#41×C47C2311yescharacteristic
448C2×#41×C47C2311yescharacteristic
449C22×D4×C47C2311yescharacteristic
450C2×SD16×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×D8×C47C2311yescharacteristic
453C2×D8×C47C2311yescharacteristic
454C2×M16×C47C2311yescharacteristic
455C22×C8×C47C2311yescharacteristic
456#127×C47—21no—
457#124×C47—21no—
458C22⋊Q8×C47—21no—
459C22⋊Q8×C47C2311yescharacteristic
460C22⋊Q8×C47C2311yescharacteristic
461#121×C47—21no—
462#121×C47—21no—
463#121×C47—21no—
464#121×C47C2311yescharacteristic
465#121×C47C2311yescharacteristic
466#121×C47C2311yescharacteristic
467#121×C47C2311yescharacteristic
468#121×C47C2311yescharacteristic
469#121×C47C2311yescharacteristic
470#120×C47—21no—
471#120×C47—21no—
472#117×C47C2311yescharacteristic
473C2×C4⋊C4×C47C2311yescharacteristic
474#107×C47C2311yescharacteristic
475#107×C47C2311yescharacteristic
476#106×C47C2311yescharacteristic
477#106×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
486C22⋊C8×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C22⋊C8×C47C2311yescharacteristic
490C24×C47—21no—
491C23×D47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496#41×C47—41no—
497#41×C47—41no—
498#41×C47—41no—
499#41×C47—41no—
500C2×Q8×C47C2×D411yescharacteristic
501C2×Q8×C47C2411yescharacteristic
502C2×D4×C47—21no—
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—41no—
511C2×D4×C47—41no—
512C2×D4×C47C2×D411yescharacteristic
513C2×D4×C47C2×D411yescharacteristic
514C2×D4×C47C2×D411yescharacteristic
515C2×D4×C47C2411yescharacteristic
516C2×D4×C47C2411yescharacteristic
517C2×D4×C47C2411yescharacteristic
518C22×C4×C47—21no—
519C22×C4×C47—21no—
520C22×C4×C47C2411yescharacteristic
521C22×C4×C47C2411yescharacteristic
522C22×C4×C47C2411yescharacteristic
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⋊D47C2×D411yescharacteristic
535C2×C22⋊D47C2×D411yescharacteristic
536C2×C22⋊D47C2×D411yescharacteristic
537C2×C22⋊D47C2×D411yescharacteristic
538C2×C22⋊D47C2×D411yescharacteristic
539C2×C22⋊D47C2×D411yescharacteristic
540C22×Dic47—21no—
541C22×Dic47—21no—
542C22×Dic47—21no—
543C22×Dic47—21no—
544C22×Dic47—21no—
545C22×Dic47C2×D411yescharacteristic
546C22×Dic47C2×D411yescharacteristic
547#10625354—22no—
548#10625354—22no—
549#10625354—41no—
550#10625354—41no—
551#10625354—44no—
552#10625352—41no—
553#10625352—41no—
554#10625352—41no—
555#10625352—41no—
556D4×D47—22no—
557D4×D47—22no—
558D4×D47—41no—
559D4×D47—41no—
560D4×D47—44no—
561D4×D47—44no—
562D4×D47—44no—
563D4×D47—44no—
564D4×D47—44no—
565D4×D47—82no—
566D4×D47—82no—
567#10625350—22no—
568#10625350—22no—
569#10625350—41no—
570#10625350—41no—
571#10625350—41no—
572#10625350—41no—
573#10625350—41no—
574#10625350—41no—
575#10625350—44no—
576C2×D188—21no—
577C2×D188—22no—
578C2×D188—22no—
579C2×D188—22no—
580C2×D188—22no—
581C2×D188—21no—
582C2×D188—21no—
583C2×D188—21no—
584C2×D188—21no—
585C2×D188—21no—
586C2×D188—21no—
587C2×D188—41no—
588C2×D188—41no—
589C2×D188—44no—
590C2×D188C2×D411yescharacteristic
591C2×D188C2411yescharacteristic
592C2×D188C2411yescharacteristic
593C2×D188C2411yescharacteristic
594C2×C4×D47—21no—
595C2×C4×D47—21no—
596C2×C4×D47—21no—
597C2×C4×D47—21no—
598C2×C4×D47—21no—
599C2×C4×D47—21no—
600C2×C4×D47—21no—
601C2×C4×D47—21no—
602C2×C4×D47—21no—
603C2×C4×D47—21no—
604C2×C4×D47—21no—
605C2×C4×D47—82no—
606C2×C4×D47C2411yescharacteristic
607C2×C4×D47C2411yescharacteristic
608C2×Dic94—21no—
609C2×Dic94—41no—
610C2×Dic94—41no—
611C2×Dic94C2×D411yescharacteristic
612C2×Dic94C2411yescharacteristic
613C2×Dic94C2411yescharacteristic
614C2×Dic94C2411yescharacteristic
615SD16×C47—41no—
616SD16×C47—41no—
617D8×C47—41no—
618D8×C47—41no—
619M16×C47—41no—
620C2×C8×C47—41no—
621C2×C8×C47C2411yescharacteristic
622C2×C8×C47C2411yescharacteristic
623C2×C8×C47C2411yescharacteristic
624C2×C8×C47C2411yescharacteristic
625C4⋊C4×C47—21no—
626C4⋊C4×C47—21no—
627C4⋊C4×C47—21no—
628C4⋊C4×C47C2411yescharacteristic
629C4⋊C4×C47C2411yescharacteristic
630C4⋊C4×C47C2411yescharacteristic
631C4⋊C4×C47C2411yescharacteristic
632C22⋊C4×C47—21no—
633C22⋊C4×C47—21no—
634C22⋊C4×C47—21no—
635C22⋊C4×C47—21no—
636C22⋊C4×C47—21no—
637C22⋊C4×C47—21no—
638C22⋊C4×C47—21no—
639C22⋊C4×C47—21no—
640C22⋊C4×C47—21no—
641C42×C47—21no—
642C22⋊Dic47—21no—
643C22⋊Dic47—21no—
644C22⋊Dic47—21no—
645C22⋊Dic47—21no—
646C22⋊Dic47—21no—
647C22⋊Dic47—21no—
648C22⋊Dic47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47—21no—
653C22⋊Dic47—21no—
654C22⋊Dic47—21no—
655C22⋊Dic47—21no—
656C22⋊Dic47—21no—
657C22⋊Dic47C2×D411yescharacteristic
658C22⋊Dic47C2×D411yescharacteristic
659C22⋊Dic47C2×D411yescharacteristic
660C22⋊Dic47C2×D411yescharacteristic
661#10625337—41no—
662#10625337—41no—
663#10625335—41no—
664#10625335—41no—
665#10625335—41no—
666#10625335—41no—
667#10625334—22no—
668#10625334—22no—
669#10625334—22no—
670#10625334—22no—
671#10625334—41no—
672#10625334—41no—
673(C2×D47)⋊C4—21no—
674(C2×D47)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
686(C2×D47)⋊C4C2×D411yescharacteristic
687(C2×D47)⋊C4C2×D411yescharacteristic
688(C2×D47)⋊C4C2×D411yescharacteristic
689C4⋊Dic47—21no—
690C4⋊Dic47—21no—
691C4⋊Dic47—21no—
692C4⋊Dic47—21no—
693C4⋊Dic47—21no—
694C4⋊Dic47—21no—
695C4⋊Dic47C2411yescharacteristic
696C4⋊Dic47C2411yescharacteristic
697Dic47⋊C4—21no—
698Dic47⋊C4—21no—
699Dic47⋊C4—21no—
700Dic47⋊C4—21no—
701Dic47⋊C4—21no—
702Dic47⋊C4—21no—
703Dic47⋊C4—21no—
704Dic47⋊C4—21no—
705Dic47⋊C4—21no—
706Dic47⋊C4—21no—
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4C2×D411yescharacteristic
710Dic47⋊C4C2×D411yescharacteristic
711Dic47⋊C4C2×D411yescharacteristic
712Dic47⋊C4C2×D411yescharacteristic
713C4×Dic47—21no—
714C4×Dic47—21no—
715C4×Dic47—21no—
716C4×Dic47C2×D411yescharacteristic
717C4×Dic47C2×D411yescharacteristic
718C4×Dic47C2411yescharacteristic
719C4×Dic47C2411yescharacteristic
720#10625329—41no—
721C2×C47⋊C8—41no—
722C2×C47⋊C8C2411yescharacteristic
723C2×C47⋊C8C2411yescharacteristic
724C2×C47⋊C8C2411yescharacteristic
725C2×C47⋊C8C2411yescharacteristic
726Dic188—41no—
727Dic188—41no—
728#10625325—22no—
729#10625325—22no—
730#10625325—22no—
731#10625325—22no—
732#10625325—41no—
733#10625325—41no—
734#10625324—41no—
735#10625324—41no—
736C8×D47—41no—
737C8×D47—41no—
738C23×C47—21no—
739C23×C47—21no—
740C23×C47—21no—
741C23×C47—81no—
742C23×C47—81no—
743C23×C47—81no—
744C23×C47C22×D411yescharacteristic
745C23×C47C22×D411yescharacteristic
746C23×C47C22×D411yescharacteristic
747C22×D47—21no—
748C22×D47—21no—
749C22×D47—24no—
750C22×D47—21no—
751C22×D47—42no—
752C22×D47—42no—
753C22×D47—42no—
754C22×D47—42no—
755C22×D47—81no—
756C22×D47—81no—
757C22×D47—81no—
758C22×D47—81no—
759C22×D47—81no—
760C22×D47—81no—
761C22×D47—81no—
762C22×D47—81no—
763C22×D47—81no—
764C22×D47—81no—
765C22×D47C22×D411yescharacteristic
766C22×D47C22×D411yescharacteristic
767Q8×C47—21no—
768Q8×C47—21no—
769Q8×C47—41no—
770D4×C47—21no—
771D4×C47—21no—
772D4×C47—21no—
773D4×C47—21no—
774D4×C47—21no—
775D4×C47—21no—
776D4×C47—41no—
777D4×C47—41no—
778D4×C47—41no—
779D4×C47—42no—
780D4×C47—81no—
781D4×C47—81no—
782D4×C47—81no—
783D4×C47—81no—
784D4×C47—81no—
785D4×C47—81no—
786D4×C47—81no—
787C2×C4×C47—21no—
788C2×C4×C47—21no—
789C2×C4×C47—21no—
790C2×C4×C47—21no—
791C2×C4×C47—21no—
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—42no—
799C2×C4×C47—81no—
800C2×C4×C47C22×D411yescharacteristic
801C2×C4×C47C22×D411yescharacteristic
802C2×C4×C47C22×D411yescharacteristic
803C2×C4×C47C2511yescharacteristic
804C22⋊D47—41no—
805C22⋊D47—41no—
806C22⋊D47—41no—
807C22⋊D47—41no—
808C22⋊D47—41no—
809C22⋊D47—41no—
810C22⋊D47—42no—
811C22⋊D47—42no—
812C22⋊D47—42no—
813C22⋊D47—42no—
814C22⋊D47—42no—
815C22⋊D47—42no—
816C22⋊D47—81no—
817C22⋊D47—81no—
818C22⋊D47—81no—
819C22⋊D47—81no—
820C22⋊D47—81no—
821C2×Dic47—21no—
822C2×Dic47—21no—
823C2×Dic47—21no—
824C2×Dic47—21no—
825C2×Dic47—21no—
826C2×Dic47—41no—
827C2×Dic47—41no—
828C2×Dic47—81no—
829C2×Dic47—81no—
830C2×Dic47—81no—
831C2×Dic47—81no—
832C2×Dic47—81no—
833C2×Dic47C22×D411yescharacteristic
834C2×Dic47C22×D411yescharacteristic
835C2×Dic47C22×D411yescharacteristic
836C2×Dic47C22×D411yescharacteristic
837C2×Dic47C22×D411yescharacteristic
838C2×Dic47C22×D411yescharacteristic
839D188—24no—
840D188—21no—
841D188—21no—
842D188—21no—
843D188—21no—
844D188—41no—
845D188—42no—
846D188—42no—
847D188—42no—
848D188—42no—
849D188—81no—
850D188—81no—
851D188H(5,𝔽2)12yes—
852D188H(5,𝔽2)12yes—
853C4×D47—21no—
854C4×D47—21no—
855C4×D47—21no—
856C4×D47—21no—
857C4×D47—42no—
858C4×D47—42no—
859C4×D47—42no—
860C4×D47—42no—
861C4×D47—42no—
862C4×D47—42no—
863C4×D47—42no—
864C4×D47—81no—
865C4×D47—81no—
866C4×D47—81no—
867C4×D47—81no—
868Dic94—21no—
869Dic94—21no—
870Dic94—21no—
871Dic94—21no—
872Dic94—21no—
873Dic94—21no—
874Dic94—41no—
875Dic94—81no—
876C8×C47—21no—
877C8×C47—21no—
878C8×C47—21no—
879C8×C47—21no—
880C47⋊C8—21no—
881C47⋊C8—21no—
882C47⋊C8—21no—
883C47⋊C8—21no—
884#61678—471nomaximal, Sylow
885C22×C47—21no—
886C22×C47—21no—
887C22×C47—21no—
888C22×C47—21no—
889C22×C47—21no—
890C22×C47—21no—
891C22×C47—21no—
892C22×C47—21no—
893C22×C47—21no—
894C22×C47—41no—
895C22×C47—41no—
896C22×C47—41no—
897C22×C47—41no—
898C22×C47—41no—
899C22×C47—41no—
900C22×C47—41no—
901C22×C47—41no—
902C22×C47—41no—
903C22×C47—162no—
904C22×C47C23×D411yescharacteristic
905C2×D47—21no—
906C2×D47—21no—
907C2×D47—21no—
908C2×D47—21no—
909C2×D47—21no—
910C2×D47—21no—
911C2×D47—22no—
912C2×D47—22no—
913C2×D47—41no—
914C2×D47—41no—
915C2×D47—41no—
916C2×D47—41no—
917C2×D47—41no—
918C2×D47—41no—
919C2×D47—41no—
920C2×D47—84no—
921C2×D47—162no—
922C2×D47—162no—
923C2×D47—162no—
924C2×D47—162no—
925C4×C47—21no—
926C4×C47—21no—
927C4×C47—21no—
928C4×C47—41no—
929C4×C47—41no—
930C4×C47—41no—
931C4×C47—41no—
932C4×C47—41no—
933C4×C47C2×H(5,𝔽2)11yescharacteristic
934C4×C47C2×H(5,𝔽2)11yescharacteristic
935Dic47—21no—
936Dic47—21no—
937Dic47—21no—
938Dic47—21no—
939Dic47—21no—
940Dic47—21no—
941Dic47—41no—
942Dic47—41no—
943Dic47—41no—
944Dic47—41no—
945Dic47—41no—
946#3551—471no—
947#3496—471no—
948#3323—471no—
949#3322—471no—
950#3318—471no—
951#3315—471no—
952#3310—471no—
953#3307—471no—
954#3297—471no—
955#3296—471no—
956#3282—471no—
957#3280—471no—
958#3275—471no—
959#3273—471no—
960#3269—471no—
961#3267—471no—
962#3265—471no—
963#3264—471no—
964#3219—471no—
965#3212—471no—
966#3204—471no—
967#3203—471no—
968#3201—471no—
969#3198D4711yescharacteristic, complemented
970#3114—471no—
971#3105—471no—
972#3012—471no—
973#3012—471no—
974#3009—471no—
975#3008—471no—
976#2981—471no—
977C2×C47—41no—
978C2×C47—41no—
979C2×C47—41no—
980C2×C47—81no—
981C2×C47—81no—
982C2×C47—81no—
983C2×C47#348411yescharacteristic
984C2×C47#358411yescharacteristic
985C2×C47#358511yescharacteristic
986D47—41no—
987D47—41no—
988D47—42no—
989D47—42no—
990D47—81no—
991C2×H(5,𝔽2)—471no—
992C2×H(5,𝔽2)—471no—
993C2×#137—471no—
994C2×AGL(1,ℤ/8)—471no—
995C2×AGL(1,ℤ/8)—471no—
996C2×AGL(1,ℤ/8)—471no—
997C2×#135—471no—
998C2×#135—471no—
999C22×SD16—471no—
1000C22×D8—471no—
1001#563—941no—
1002#560—941no—
1003#555—941no—
1004#553—471no—
1005#553—471no—
1006#552—471no—
1007#552—471no—
1008#551—941no—
1009#548—471no—
1010#548—471no—
1011#547—471no—
1012#547—471no—
1013#547—941no—
1014#546—471no—
1015#546—471no—
1016#546—471no—
1017#546—471no—
1018#546—471no—
1019#546—471no—
1020#546—941no—
1021#546—941no—
1022D42—471no—
1023D42—471no—
1024D42—941no—
1025#540—941no—
1026#540—941no—
1027#538—941no—
1028#538—941no—
1029#537—471no—
1030#537—471no—
1031#537—471no—
1032#537C2×D4711yescharacteristic
1033#536—471no—
1034#535C2×D4711yescharacteristic, complemented
1035#534—941no—
1036#534—941no—
1037#532—471no—
1038#532—471no—
1039#529—471no—
1040#529—471no—
1041C2×#121—941no—
1042C2×#121—941no—
1043C2×C4×D4—471no—
1044#497—471no—
1045#496—471no—
1046#495—471no—
1047#495—471no—
1048#491—471no—
1049#490—471no—
1050#488—471no—
1051#488—471no—
1052#485—471no—
1053#485C2×D4711yescharacteristic, complemented
1054#484—471no—
1055#484—471no—
1056#483—471no—
1057#483—471no—
1058#482—471no—
1059#482C2×D4711yescharacteristic, complemented
1060#481—471no—
1061#481C2×D4711yescharacteristic, complemented
1062#480—471no—
1063#480C2×D4711yescharacteristic, complemented
1064#478—471no—
1065#478—471no—
1066#478—471no—
1067#478—471no—
1068#470—471no—
1069#470—471no—
1070#469—471no—
1071#469C2×D4711yescharacteristic, complemented
1072#468—471no—
1073#468—471no—
1074#468—471no—
1075#468C2×D4711yescharacteristic, complemented
1076#467—471no—
1077#467—471no—
1078#466—471no—
1079#466C2×D4711yescharacteristic, complemented
1080#465—471no—
1081#465—471no—
1082#465—471no—
1083#465C2×D4711yescharacteristic, complemented
1084#464—471no—
1085#464—471no—
1086#463—471no—
1087#463—471no—
1088#463—471no—
1089#463—471no—
1090#463—471no—
1091#463—471no—
1092#462—471no—
1093#461—471no—
1094#460—471no—
1095#459—471no—
1096#452—471no—
1097#452—471no—
1098#452—471no—
1099#452—471no—
1100#452—471no—
1101#452—471no—
1102#452—471no—
1103#452—471no—
1104#452—471no—
1105#452—471no—
1106#451—471no—
1107#450—471no—
1108#450—471no—
1109#450—471no—
1110#450—471no—
1111#450—471no—
1112#450—471no—
1113#450C2×D4711yescharacteristic, complemented
1114#449—471no—
1115#449—471no—
1116#449—471no—
1117#449—471no—
1118#449—471no—
1119#449—471no—
1120#449—471no—
1121#449—471no—
1122#449C2×D4711yescharacteristic, complemented
1123#449C2×D4711yescharacteristic, complemented
1124#448—471no—
1125#447—471no—
1126#447—471no—
1127#447—471no—
1128#447—471no—
1129#447—471no—
1130#447—471no—
1131#447C2×D4711yescharacteristic, complemented
1132#442—471no—
1133#442—471no—
1134#440—471no—
1135#440—471no—
1136C4×SD16—471no—
1137C4×SD16—471no—
1138C4×D8—471no—
1139C4×D8—471no—
1140#436—471no—
1141#436—471no—
1142#435—471no—
1143#435—471no—
1144#435—471no—
1145#435—471no—
1146C8×D4—471no—
1147C8×D4—471no—
1148#432—471no—
1149#431—471no—
1150#418—471no—
1151#418—471no—
1152#417—471no—
1153#417—471no—
1154#416—471no—
1155#416—471no—
1156C2×#102—471no—
1157C2×#102—471no—
1158#408—471no—
1159#408—471no—
1160#408—471no—
1161#408C2×D4711yescharacteristic, complemented
1162C47#6167811yescharacteristic, complemented, Sylow
1163H(5,𝔽2)—1882no—
1164H(5,𝔽2)—1882no—
1165H(5,𝔽2)—1882no—
1166H(5,𝔽2)—1882no—
1167C2×#41—471no—
1168C2×#41—471no—
1169C2×#41—471no—
1170C2×#41—471no—
1171C2×#41—471no—
1172C2×#41—471no—
1173C2×#41—471no—
1174C2×#41—471no—
1175C2×#41—941no—
1176C2×#41—941no—
1177C2×#41C22×D4711yescharacteristic
1178C2×#41C22×D4711yescharacteristic
1179C22×Q8—471no—
1180C22×D4—471no—
1181C22×D4—471no—
1182C22×D4—471no—
1183C22×D4—471no—
1184C22×D4—471no—
1185C22×D4—941no—
1186C22×D4—941no—
1187C22×D4—941no—
1188C22×D4—941no—
1189C22×D4—941no—
1190C22×D4—941no—
1191C22×D4—941no—
1192C22×D4—941no—
1193C22×D4C22×D4711yescharacteristic
1194C23×C4—941no—
1195#137—1882no—
1196AGL(1,ℤ/8)—1882no—
1197AGL(1,ℤ/8)—1882no—
1198AGL(1,ℤ/8)—1882no—
1199#135—1882no—
1200#135—1882no—
1201C2×Q16—471no—
1202C2×Q16—471no—
1203C2×Q16—471no—
1204C2×Q16—471no—
1205C2×SD16—471no—
1206C2×SD16—471no—
1207C2×SD16—471no—
1208C2×SD16—471no—
1209C2×SD16—471no—
1210C2×SD16—471no—
1211C2×SD16—471no—
1212C2×SD16—471no—
1213C2×SD16—471no—
1214C2×SD16—471no—
1215C2×SD16—1882no—
1216C2×SD16C22×D4711yescharacteristic
1217C2×SD16C22×D4711yescharacteristic
1218C2×D8—471no—
1219C2×D8—471no—
1220C2×D8—471no—
1221C2×D8—471no—
1222C2×D8—471no—
1223C2×D8—471no—
1224C2×D8—1882no—
1225C2×D8C22×D4711yescharacteristic
1226C2×D8C22×D4711yescharacteristic
1227C2×M16—471no—
1228C2×M16—471no—
1229C2×M16—471no—
1230C2×M16C22×D4711yescharacteristic
1231C22×C8—471no—
1232C22×C8—471no—
1233C22×C8—471no—
1234C22×C8C22×D4711yescharacteristic
1235C4⋊Q8—471no—
1236C4⋊Q8—471no—
1237C4⋊Q8—941no—
1238#127—21no—
1239#127—471no—
1240#127—471no—
1241#126—941no—
1242#126—941no—
1243#126—941no—
1244#126—941no—
1245#126—941no—
1246#126—941no—
1247#125—471no—
1248#125—471no—
1249#125—941no—
1250#125—941no—
1251#124—21no—
1252#124—471no—
1253#124—471no—
1254#124—471no—
1255#124—471no—
1256#124—471no—
1257#124—471no—
1258#124—941no—
1259#124—941no—
1260#124—941no—
1261#123—941no—
1262#123—941no—
1263#123—941no—
1264#123—941no—
1265#123—941no—
1266#123—941no—
1267#123—941no—
1268#123—941no—
1269#123—941no—
1270#123—941no—
1271#123—941no—
1272#123—941no—
1273#123—941no—
1274#123—941no—
1275#123—941no—
1276#123—941no—
1277#123—941no—
1278#123—941no—
1279C22⋊Q8—21no—
1280C22⋊Q8—471no—
1281C22⋊Q8—471no—
1282C22⋊Q8—471no—
1283C22⋊Q8—471no—
1284C22⋊Q8—471no—
1285C22⋊Q8—471no—
1286C22⋊Q8—471no—
1287C22⋊Q8—471no—
1288C22⋊Q8—941no—
1289C22⋊Q8—941no—
1290C22⋊Q8—941no—
1291C22⋊Q8—941no—
1292C22⋊Q8—941no—
1293C22⋊Q8C22×D4711yescharacteristic
1294C22⋊Q8C22×D4711yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—471no—
1299#121—471no—
1300#121—471no—
1301#121—471no—
1302#121—471no—
1303#121—471no—
1304#121—471no—
1305#121—471no—
1306#121—941no—
1307#121—941no—
1308#121—941no—
1309#121—941no—
1310#121—941no—
1311#121—941no—
1312#121—941no—
1313#121—941no—
1314#121—941no—
1315#121—941no—
1316#121—941no—
1317#121—941no—
1318#121—941no—
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#121C22×D4711yescharacteristic
1332#121C22×D4711yescharacteristic
1333#121C22×D4711yescharacteristic
1334#121C22×D4711yescharacteristic
1335#121C22×D4711yescharacteristic
1336#121C22×D4711yescharacteristic
1337#120—21no—
1338#120—21no—
1339#120—941no—
1340#120—941no—
1341#120—941no—
1342#120—941no—
1343#120—941no—
1344#120—941no—
1345#120—941no—
1346#120—941no—
1347#120—941no—
1348#120—941no—
1349C4×Q8—471no—
1350C4×Q8—471no—
1351C4×D4—471no—
1352C4×D4—471no—
1353C4×D4—471no—
1354C4×D4—471no—
1355C4×D4—471no—
1356C4×D4—471no—
1357C4×D4—471no—
1358C4×D4—471no—
1359C4×D4—471no—
1360C4×D4—471no—
1361C4×D4—941no—
1362C4×D4—941no—
1363C4×D4—941no—
1364C4×D4—941no—
1365C4×D4—941no—
1366C4×D4—941no—
1367C4×D4—941no—
1368C4×D4—941no—
1369C4×D4—941no—
1370C4×D4—941no—
1371#117—471no—
1372#117—941no—
1373#117—941no—
1374#117—941no—
1375#117—941no—
1376#117C22×D4711yescharacteristic
1377C2×C4⋊C4—471no—
1378C2×C4⋊C4—471no—
1379C2×C4⋊C4—941no—
1380C2×C4⋊C4—941no—
1381C2×C4⋊C4C22×D4711yescharacteristic
1382C2×C22⋊C4—941no—
1383C2×C22⋊C4—941no—
1384C2×C22⋊C4—941no—
1385C2×C22⋊C4—941no—
1386C2×C22⋊C4—941no—
1387C2×C22⋊C4—941no—
1388C2×C22⋊C4—941no—
1389C2×C42—471no—
1390#107—471no—
1391#107—471no—
1392#107C22×D4711yescharacteristic
1393#107C22×D4711yescharacteristic
1394#106—471no—
1395#106—471no—
1396#106C22×D4711yescharacteristic
1397#106C22×D4711yescharacteristic
1398C4⋊C8—471no—
1399C4⋊C8—471no—
1400C4⋊C8—471no—
1401C4⋊C8—471no—
1402#103—471no—
1403#103—471no—
1404#103—471no—
1405#103—471no—
1406#103—471no—
1407#103—471no—
1408#103—471no—
1409#103—471no—
1410#103—471no—
1411#103—471no—
1412#103C22×D4711yescharacteristic
1413#103C22×D4711yescharacteristic
1414#102—471no—
1415#102—471no—
1416#102—471no—
1417#102—471no—
1418#102—471no—
1419#102—471no—
1420#102—471no—
1421#102—471no—
1422#102—471no—
1423#102—471no—
1424#102—471no—
1425#102—471no—
1426#102—471no—
1427#102—471no—
1428#102C22×D4711yescharacteristic
1429#102C22×D4711yescharacteristic
1430#102C22×D4711yescharacteristic
1431#102C22×D4711yescharacteristic
1432#102C22×D4711yescharacteristic
1433#102C22×D4711yescharacteristic
1434C22⋊C8—471no—
1435C22⋊C8—471no—
1436C22⋊C8—471no—
1437C22⋊C8—471no—
1438C22⋊C8—471no—
1439C22⋊C8—471no—
1440C22⋊C8—471no—
1441C22⋊C8—471no—
1442C22⋊C8C22×D4711yescharacteristic
1443C22⋊C8C22×D4711yescharacteristic
1444C22⋊C8C22×D4711yescharacteristic
1445C22⋊C8C22×D4711yescharacteristic
1446#97—471no—
1447#97—471no—
1448C4×C8—471no—
1449C4×C8—471no—
1450C24—21no—
1451C24—941no—
1452C24—941no—
1453C24—941no—
1454C24—941no—
1455C24—941no—
1456#41—41no—
1457#41—41no—
1458#41—41no—
1459#41—41no—
1460#41—942no—
1461#41—942no—
1462#41—942no—
1463#41—942no—
1464#41—1881no—
1465#41—1881no—
1466#41—1881no—
1467#41—1881no—
1468#41—1881no—
1469#41—1881no—
1470#41—1884no—
1471#41—1881no—
1472#41—1881no—
1473#41—1881no—
1474#41—1881no—
1475#41—1881no—
1476#41—1881no—
1477#41—1884no—
1478C2×Q8—471no—
1479C2×Q8—471no—
1480C2×Q8—471no—
1481C2×Q8—471no—
1482C2×Q8—941no—
1483C2×Q8—1881no—
1484C2×Q8—1881no—
1485C2×Q8D4×D4711yescharacteristic
1486C2×Q8C23×D4711yescharacteristic
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—41no—
1496C2×D4—41no—
1497C2×D4—471no—
1498C2×D4—471no—
1499C2×D4—471no—
1500C2×D4—471no—
1501C2×D4—471no—
1502C2×D4—471no—
1503C2×D4—471no—
1504C2×D4—471no—
1505C2×D4—471no—
1506C2×D4—471no—
1507C2×D4—942no—
1508C2×D4—942no—
1509C2×D4—942no—
1510C2×D4—942no—
1511C2×D4—941no—
1512C2×D4—941no—
1513C2×D4—941no—
1514C2×D4—941no—
1515C2×D4—941no—
1516C2×D4—941no—
1517C2×D4—941no—
1518C2×D4—941no—
1519C2×D4—942no—
1520C2×D4—942no—
1521C2×D4—941no—
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—3762no—
1532C2×D4—3762no—
1533C2×D4—1881no—
1534C2×D4—1881no—
1535C2×D4—1884no—
1536C2×D4—1881no—
1537C2×D4—1881no—
1538C2×D4—1884no—
1539C2×D4—1884no—
1540C2×D4—1884no—
1541C2×D4—1884no—
1542C2×D4—1884no—
1543C2×D4D4×D4711yescharacteristic
1544C2×D4D4×D4711yescharacteristic
1545C2×D4D4×D4711yescharacteristic
1546C2×D4C23×D4711yescharacteristic
1547C2×D4C23×D4711yescharacteristic
1548C2×D4C23×D4711yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—471no—
1552C22×C4—471no—
1553C22×C4—471no—
1554C22×C4—471no—
1555C22×C4—941no—
1556C22×C4—941no—
1557C22×C4—941no—
1558C22×C4—941no—
1559C22×C4—941no—
1560C22×C4—941no—
1561C22×C4—941no—
1562C22×C4—941no—
1563C22×C4—941no—
1564C22×C4—941no—
1565C22×C4—941no—
1566C22×C4—941no—
1567C22×C4—941no—
1568C22×C4—941no—
1569C22×C4—941no—
1570C22×C4—941no—
1571C22×C4—3762no—
1572C22×C4C23×D4711yescharacteristic
1573C22×C4C23×D4711yescharacteristic
1574C22×C4C23×D4711yescharacteristic
1575Q16—1881no—
1576Q16—1881no—
1577Q16—1881no—
1578Q16—1881no—
1579SD16—41no—
1580SD16—41no—
1581SD16—942no—
1582SD16—942no—
1583SD16—942no—
1584SD16—942no—
1585SD16—1881no—
1586SD16—1881no—
1587SD16—1881no—
1588SD16—1881no—
1589SD16—1881no—
1590SD16—1881no—
1591D8—41no—
1592D8—41no—
1593D8—942no—
1594D8—942no—
1595D8—942no—
1596D8—942no—
1597D8—1881no—
1598D8—1881no—
1599M16—41no—
1600M16—1881no—
1601M16—1881no—
1602M16—1881no—
1603C2×C8—41no—
1604C2×C8—471no—
1605C2×C8—471no—
1606C2×C8—471no—
1607C2×C8—471no—
1608C2×C8—1881no—
1609C2×C8—1881no—
1610C2×C8—1881no—
1611C2×C8C23×D4711yescharacteristic
1612C2×C8C23×D4711yescharacteristic
1613C2×C8C23×D4711yescharacteristic
1614C2×C8C23×D4711yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—471no—
1619C4⋊C4—471no—
1620C4⋊C4—471no—
1621C4⋊C4—471no—
1622C4⋊C4—471no—
1623C4⋊C4—471no—
1624C4⋊C4—941no—
1625C4⋊C4—941no—
1626C4⋊C4—941no—
1627C4⋊C4—941no—
1628C4⋊C4—941no—
1629C4⋊C4—941no—
1630C4⋊C4—941no—
1631C4⋊C4—941no—
1632C4⋊C4—941no—
1633C4⋊C4—941no—
1634C4⋊C4—941no—
1635C4⋊C4—941no—
1636C4⋊C4—941no—
1637C4⋊C4—941no—
1638C4⋊C4—941no—
1639C4⋊C4—941no—
1640C4⋊C4—941no—
1641C4⋊C4—941no—
1642C4⋊C4C23×D4711yescharacteristic
1643C4⋊C4C23×D4711yescharacteristic
1644C4⋊C4C23×D4711yescharacteristic
1645C4⋊C4C23×D4711yescharacteristic
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—471no—
1656C22⋊C4—471no—
1657C22⋊C4—471no—
1658C22⋊C4—471no—
1659C22⋊C4—471no—
1660C22⋊C4—471no—
1661C22⋊C4—471no—
1662C22⋊C4—471no—
1663C22⋊C4—941no—
1664C22⋊C4—941no—
1665C22⋊C4—941no—
1666C22⋊C4—941no—
1667C22⋊C4—941no—
1668C22⋊C4—941no—
1669C22⋊C4—941no—
1670C22⋊C4—941no—
1671C22⋊C4—941no—
1672C22⋊C4—941no—
1673C22⋊C4—941no—
1674C22⋊C4—941no—
1675C22⋊C4—941no—
1676C22⋊C4—941no—
1677C22⋊C4—941no—
1678C22⋊C4—941no—
1679C22⋊C4—941no—
1680C22⋊C4—941no—
1681C22⋊C4—941no—
1682C22⋊C4—941no—
1683C22⋊C4—941no—
1684C22⋊C4—941no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4—941no—
1689C22⋊C4—941no—
1690C42—21no—
1691C42—471no—
1692C42—471no—
1693C42—471no—
1694C42—471no—
1695C42—941no—
1696C42—941no—
1697C42—941no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—81no—
1702C23—81no—
1703C23—81no—
1704C23—471no—
1705C23—471no—
1706C23—944no—
1707C23—941no—
1708C23—941no—
1709C23—941no—
1710C23—3761no—
1711C23—3761no—
1712C23—3761no—
1713C23—3761no—
1714C23—3761no—
1715C23—3761no—
1716C23—3761no—
1717C23—3761no—
1718C23—3761no—
1719C23—3761no—
1720C23—1882no—
1721C23—1882no—
1722C23—1882no—
1723C23—1882no—
1724C23C2×D4×D4711yescharacteristic
1725C23C2×D4×D4711yescharacteristic
1726C23C2×D4×D4711yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—41no—
1730Q8—941no—
1731Q8—941no—
1732Q8—941no—
1733Q8—941no—
1734Q8—941no—
1735Q8—941no—
1736Q8—3761no—
1737Q8—1881no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—41no—
1745D4—41no—
1746D4—41no—
1747D4—42no—
1748D4—81no—
1749D4—81no—
1750D4—81no—
1751D4—81no—
1752D4—81no—
1753D4—81no—
1754D4—81no—
1755D4—472no—
1756D4—472no—
1757D4—944no—
1758D4—941no—
1759D4—941no—
1760D4—941no—
1761D4—941no—
1762D4—3761no—
1763D4—3761no—
1764D4—3761no—
1765D4—3761no—
1766D4—3761no—
1767D4—3761no—
1768D4—3761no—
1769D4—1881no—
1770D4—1882no—
1771D4—1882no—
1772D4—1882no—
1773D4—1882no—
1774D4—1881no—
1775D4—1881no—
1776D4—1881no—
1777D4—1881no—
1778D4—1881no—
1779D4—1881no—
1780D4—1882no—
1781D4—1882no—
1782D4—1882no—
1783D4—1882no—
1784D4—1882no—
1785D4—1882no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—42no—
1798C2×C4—81no—
1799C2×C4—471no—
1800C2×C4—471no—
1801C2×C4—471no—
1802C2×C4—471no—
1803C2×C4—471no—
1804C2×C4—471no—
1805C2×C4—941no—
1806C2×C4—941no—
1807C2×C4—941no—
1808C2×C4—941no—
1809C2×C4—941no—
1810C2×C4—941no—
1811C2×C4—941no—
1812C2×C4—941no—
1813C2×C4—941no—
1814C2×C4—3761no—
1815C2×C4—3761no—
1816C2×C4—3761no—
1817C2×C4—3761no—
1818C2×C4—3761no—
1819C2×C4—3761no—
1820C2×C4—3761no—
1821C2×C4—3761no—
1822C2×C4—3761no—
1823C2×C4—1882no—
1824C2×C4—1882no—
1825C2×C4—1882no—
1826C2×C4—1882no—
1827C2×C4—1882no—
1828C2×C4—1882no—
1829C2×C4—1882no—
1830C2×C4—1881no—
1831C2×C4—1881no—
1832C2×C4C2×D4×D4711yescharacteristic
1833C2×C4C2×D4×D4711yescharacteristic
1834C2×C4C2×D4×D4711yescharacteristic
1835C2×C4C24×D4711yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—941no—
1841C8—941no—
1842C8—941no—
1843C8—941no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—162no—
1863C22—941no—
1864C22—941no—
1865C22—941no—
1866C22—941no—
1867C22—941no—
1868C22—941no—
1869C22—942no—
1870C22—942no—
1871C22—3764no—
1872C22—1881no—
1873C22—1881no—
1874C22—1881no—
1875C22—1881no—
1876C22—1881no—
1877C22—1881no—
1878C22—1881no—
1879C22—7522no—
1880C22—7522no—
1881C22—7522no—
1882C22—7522no—
1883C22C22×D4×D4711yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—941no—
1893C4—941no—
1894C4—941no—
1895C4—941no—
1896C4—941no—
1897C4—941no—
1898C4—1881no—
1899C4—1881no—
1900C4—1881no—
1901C4—1881no—
1902C4—1881no—
1903C4H(5,𝔽2)×D4711yescharacteristic
1904C4H(5,𝔽2)×D4711yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—81no—
1909C2—81no—
1910C2—81no—
1911C2—3761no—
1912C2—1881no—
1913C2—1881no—
1914C2—1882no—
1915C2—1882no—
1916C2#2025702011yescharacteristic
1917C2#2025816011yescharacteristic
1918C2#2025816311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3198C2
socleC22×C47C23×D4
hypercenter#3198D47
hypocenterC47#61678
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3198

Complements

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

NH ≅ G/Ntype
1. #20257812C2semidirect
2. #20257151C2semidirect
3. #20255602C2semidirect
4. #20255595C2semidirect
5. #20255524C2semidirect
6. #20255482C2semidirect
7. #20255412C2semidirect
8. #20255370C2semidirect
9. #20255233C2semidirect
10. #20255226C2semidirect
11. #20255092C2semidirect
12. #20255066C2semidirect
13. #20255026C2semidirect
14. #20254999C2semidirect
15. #20254950C2semidirect
16. #20254911C2semidirect
17. #20254880C2semidirect
18. #20254861C2semidirect
19. #20254423C2semidirect
20. #20254361C2semidirect
21. #20254301C2semidirect
22. #20254288C2semidirect
23. #20254264C2semidirect
24. #20253523C2semidirect
25. #20253432C2semidirect
26. #20252690C2semidirect
27. #20252690C2semidirect
28. #20252667C2semidirect
29. #20252654C2semidirect
30. #20252461C2semidirect
31. C47×#3198C2semidirect
33. C2×#13094070C22semidirect
34. C2×#13094057C22semidirect
35. C2×#13094050C22semidirect
36. C2×#13094048C22semidirect
37. C2×#13094048C22semidirect
38. C2×#13094045C22semidirect
39. C2×#13094045C22semidirect
40. C22×#10625325C22semidirect
41. C22×#10625334C22semidirect
45. #15689820C22semidirect
46. #15689820C22semidirect
47. #15689812C22semidirect
48. #15689812C22semidirect
50. #15689779C22semidirect
51. #15689779C22semidirect
54. #15689775C22semidirect
57. #15689770C22semidirect
58. #15689767C22semidirect
59. #15689767C22semidirect
62. #15689764C22semidirect
65. #15689757C22semidirect
70. #15689704C22semidirect
71. #15689702C22semidirect
72. #15689702C22semidirect
73. #15689694C22semidirect
77. #15689669C22semidirect
78. #15689654C22semidirect
79. #15689654C22semidirect
82. C2×#13093986C22semidirect
83. #15689514C22semidirect
84. #15689511C22semidirect
85. #15689506C22semidirect
86. #15689504C22semidirect
87. #15689490C22semidirect
88. #15689486C22semidirect
89. #15689479C22semidirect
90. #15689476C22semidirect
91. #15689461C22semidirect
92. #15689460C22semidirect
93. #15689458C22semidirect
94. #15689455C22semidirect
95. #15689453C22semidirect
96. #15689444C22semidirect
97. #15689443C22semidirect
98. #15689438C22semidirect
99. #15689426C22semidirect
100. #15689426C22semidirect
101. #15689422C22semidirect
102. #15689422C22semidirect
103. #15689382C22semidirect
104. #15689379C22semidirect
105. #15689375C22semidirect
106. #15689370C22semidirect
107. #15689368C22semidirect
108. #15689367C22semidirect
109. #15689365C22semidirect
110. #15689362C22semidirect
111. #15689358C22semidirect
112. #15689353C22semidirect
113. #15689351C22semidirect
114. #15689350C22semidirect
115. #15689348C22semidirect
116. #15689344C22semidirect
117. #15689340C22semidirect
118. #15689337C22semidirect
119. #15689337C22semidirect
120. #15689337C22semidirect
121. #15689337C22semidirect
122. #15689336C22semidirect
123. #15689332C22semidirect
124. #15689326C22semidirect
125. #15689322C22semidirect
126. #15689316C22semidirect
127. #15689288C22semidirect
128. #15689288C22semidirect
129. #15689287C22semidirect
130. #15689287C22semidirect
131. #15689287C22semidirect
132. #15689287C22semidirect
133. #15689286C22semidirect
134. #15689286C22semidirect
135. #15689285C22semidirect
136. #15689285C22semidirect
137. #15689278C22semidirect
138. #15689276C22semidirect
139. #15689276C22semidirect
140. #15689276C22semidirect
141. #15689276C22semidirect
142. #15689275C22semidirect
143. #15689275C22semidirect
144. #15689269C22semidirect
145. #15689269C22semidirect
146. #15689267C22semidirect
147. #15689267C22semidirect
148. #15689266C22semidirect
149. #15689266C22semidirect
150. #15689266C22semidirect
151. #15689266C22semidirect
152. #15689261C22semidirect
155. #15689256C22semidirect
156. #15689256C22semidirect
157. #15689255C22semidirect
158. #15689255C22semidirect
159. #15689232C22semidirect
160. #15689232C22semidirect
161. #15689222C22semidirect
162. #15689222C22semidirect
163. #15689210C22semidirect
164. #15689210C22semidirect
165. #15689203C22semidirect
166. #15689203C22semidirect
167. #15689199C22semidirect
168. #15689198C22semidirect
169. #15689197C22semidirect
170. #15689194C22semidirect
171. #15689192C22semidirect
172. #15689191C22semidirect
173. C8×C22⋊D47C22semidirect
174. (C22⋊D47)⋊C8C22semidirect
175. #15689177C22semidirect
176. #15689173C22semidirect
177. #15689129C22semidirect
178. #15689127C22semidirect
179. #15689123C22semidirect
180. #15689123C22semidirect
181. #15689120C22semidirect
182. #15689117C22semidirect
183. #102×D47C22semidirect
184. #102×D47C22semidirect
185. #15689090C22semidirect
186. #15689088C22semidirect
187. #15689088C22semidirect
189. C47×#535C22semidirect
190. C47×#485C22semidirect
191. C47×#482C22semidirect
192. C47×#481C22semidirect
193. C47×#480C22semidirect
194. C47×#469C22semidirect
195. C47×#468C22semidirect
196. C47×#466C22semidirect
197. C47×#465C22semidirect
198. C47×#450C22semidirect
199. C47×#449C22semidirect
200. C47×#449C22semidirect
201. C47×#447C22semidirect
202. C47×#408C22semidirect
969. #3198D47semidirect
1034. #535C2×D47semidirect
1053. #485C2×D47semidirect
1059. #482C2×D47semidirect
1061. #481C2×D47semidirect
1063. #480C2×D47semidirect
1071. #469C2×D47semidirect
1075. #468C2×D47semidirect
1079. #466C2×D47semidirect
1083. #465C2×D47semidirect
1113. #450C2×D47semidirect
1122. #449C2×D47semidirect
1123. #449C2×D47semidirect
1131. #447C2×D47semidirect
1161. #408C2×D47semidirect
1162. C47#61678semidirect

Maximal subgroups

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

subgroupindex
#202578122
#202571512
#202556022
#202555952
#202555242
#202554822
#202554122
#202553702
#202552332
#202552262
#202550922
#202550662
#202550262
#202549992
#202549502
#202549112
#202548802
#202548612
#202544232
#202543612
#202543012
#202542882
#202542642
#202535232
#202534322
#202526902
#202526672
#202526542
#202524612
C47×#31982
#6167847