Finite Group Databasebeta

← #27102455

Subgroups — #27102455

Order 12032.

2074 conjugacy classes of subgroups.

The subgroup lattice has 1888 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257656C211yesmaximal, characteristic, complemented
2#20257030C211yesmaximal, characteristic, complemented
3#20255550C211yesmaximal, characteristic, complemented
4#20255542C211yesmaximal, characteristic, complemented
5#20255430C211yesmaximal, characteristic, complemented
6#20255422C211yesmaximal, characteristic, complemented
7#20255314C211yesmaximal, characteristic, complemented
8#20255311C211yesmaximal, characteristic, complemented
9#20255303C211yesmaximal, characteristic, complemented
10#20255300C211yesmaximal, characteristic, complemented
11#20255102C211yesmaximal, characteristic, complemented
12#20255098C211yesmaximal, characteristic, complemented
13#20255076C211yesmaximal, characteristic, complemented
14#20255071C211yesmaximal, characteristic, complemented
15#20254940C211yesmaximal, characteristic, complemented
16#20254936C211yesmaximal, characteristic, complemented
17#20254917C211yesmaximal, characteristic, complemented
18#20254910C211yesmaximal, characteristic, complemented
19#20254501C211yesmaximal, characteristic, complemented
20#20254493C211yesmaximal, characteristic, complemented
21#20254282C211yesmaximal, characteristic, complemented
22#20254262C211yesmaximal, characteristic, complemented
23#20254176C211yesmaximal, characteristic, complemented
24#20253575C211yesmaximal, characteristic, complemented
25#20253567C211yesmaximal, characteristic, complemented
26#20252662C211yesmaximal, characteristic, complemented
27#20252653C211yesmaximal, characteristic, complemented
28#20252610C211yesmaximal, characteristic, complemented
29#20252604C211yesmaximal, characteristic, complemented
30#20252442C211yesmaximal, characteristic, complemented
31C47×#3191C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic
33C22×#10625350C2211yescharacteristic, complemented
34C2×#13094056C2211yescharacteristic, complemented
35C2×#13094051C2211yescharacteristic, complemented
36C2×#13094046C2211yescharacteristic, complemented
37C2×#13094046C2211yescharacteristic, complemented
38C2×#13094044C2211yescharacteristic, complemented
39C2×#13094044C2211yescharacteristic, complemented
40C2×SD16×D47C2211yescharacteristic, complemented
41C2×D8×D47C2211yescharacteristic, complemented
42#15689866—21no—
43#15689862—21no—
44#15689856—21no—
45#15689844C2211yescharacteristic, complemented
46#15689841C2211yescharacteristic, complemented
47#15689837C2211yescharacteristic, complemented
48#15689836C2211yescharacteristic, complemented
49#15689802—21no—
50#15689783C2211yescharacteristic, complemented
51#15689780C2211yescharacteristic, complemented
52#15689778—21no—
53#15689778—21no—
54#15689775C2211yescharacteristic
55#15689775C2211yescharacteristic
56#15689775C2211yescharacteristic, complemented
57#15689775C2211yescharacteristic, complemented
58#15689770C2211yescharacteristic
59#15689770C2211yescharacteristic
60#15689770C2211yescharacteristic, complemented
61#15689770C2211yescharacteristic, complemented
62#15689770C2211yescharacteristic, complemented
63#15689769—21no—
64#15689769—21no—
65#15689761C2211yescharacteristic, complemented
66#15689746C2211yescharacteristic, complemented
67#15689741—21no—
68#15689740C2211yescharacteristic, complemented
69#15689738—21no—
70#15689709—21no—
71#15689706—21no—
72#15689699C2211yescharacteristic
73#15689696C2211yescharacteristic
74#15689694C2211yescharacteristic, complemented
75#15689689C2211yescharacteristic
76#15689683—21no—
77#15689683—21no—
78#15689634C2211yescharacteristic
79#15689634C2211yescharacteristic, complemented
80#123×D47—21no—
81#123×D47—21no—
82#15689597C2211yescharacteristic, complemented
83#15689516C2211yescharacteristic, complemented
84#15689514C2211yescharacteristic, complemented
85#15689506C2211yescharacteristic, complemented
86#15689504C2211yescharacteristic, complemented
87#15689481C2211yescharacteristic, complemented
88#15689481C2211yescharacteristic, complemented
89#15689472C2211yescharacteristic, complemented
90#15689472C2211yescharacteristic, complemented
91#15689467C2211yescharacteristic, complemented
92#15689467C2211yescharacteristic, complemented
93#15689466C2211yescharacteristic, complemented
94#15689466C2211yescharacteristic, complemented
95#15689464C2211yescharacteristic, complemented
96#15689461C2211yescharacteristic, complemented
97#15689447C2211yescharacteristic, complemented
98#15689444C2211yescharacteristic, complemented
99#15689412C2211yescharacteristic, complemented
100#15689412C2211yescharacteristic, complemented
101#15689402C2211yescharacteristic, complemented
102#15689402C2211yescharacteristic, complemented
103#15689382C2211yescharacteristic, complemented
104#15689380C2211yescharacteristic, complemented
105#15689370C2211yescharacteristic, complemented
106#15689368C2211yescharacteristic, complemented
107#15689365C2211yescharacteristic, complemented
108#15689363C2211yescharacteristic, complemented
109#15689362C2211yescharacteristic, complemented
110#15689357C2211yescharacteristic, complemented
111#15689354C2211yescharacteristic, complemented
112#15689353C2211yescharacteristic, complemented
113#15689351C2211yescharacteristic, complemented
114#15689350C2211yescharacteristic, complemented
115#15689344C2211yescharacteristic, complemented
116#15689343C2211yescharacteristic, complemented
117#15689341C2211yescharacteristic, complemented
118#15689341C2211yescharacteristic, complemented
119#15689337C2211yescharacteristic, complemented
120#15689337C2211yescharacteristic, complemented
121#15689337C2211yescharacteristic, complemented
122#15689336C2211yescharacteristic, complemented
123#15689332C2211yescharacteristic, complemented
124#15689331C2211yescharacteristic, complemented
125#15689327C2211yescharacteristic, complemented
126#15689326C2211yescharacteristic, complemented
127#15689288C2211yescharacteristic, complemented
128#15689287C2211yescharacteristic, complemented
129#15689287C2211yescharacteristic, complemented
130#15689285C2211yescharacteristic, complemented
131#15689284C2211yescharacteristic, complemented
132#15689283C2211yescharacteristic, complemented
133#15689283C2211yescharacteristic, complemented
134#15689283C2211yescharacteristic, complemented
135#15689281C2211yescharacteristic, complemented
136#15689280C2211yescharacteristic, complemented
137#15689280C2211yescharacteristic, complemented
138#15689278C2211yescharacteristic, complemented
139#15689276C2211yescharacteristic, complemented
140#15689275C2211yescharacteristic, complemented
141#15689275C2211yescharacteristic, complemented
142#15689275C2211yescharacteristic, complemented
143#15689273C2211yescharacteristic, complemented
144#15689272C2211yescharacteristic, complemented
145#15689271C2211yescharacteristic, complemented
146#15689270C2211yescharacteristic, complemented
147#15689270C2211yescharacteristic, complemented
148#15689268C2211yescharacteristic
149#15689267C2211yescharacteristic, complemented
150#15689266C2211yescharacteristic, complemented
151#15689266C2211yescharacteristic, complemented
152#15689266C2211yescharacteristic, complemented
153#15689264C2211yescharacteristic, complemented
154#15689261C2211yescharacteristic, complemented
155#15689259C2211yescharacteristic
156#15689258C2211yescharacteristic, complemented
157#15689256C2211yescharacteristic
158#15689255C2211yescharacteristic, complemented
159#15689234C2211yescharacteristic, complemented
160#15689232C2211yescharacteristic, complemented
161#15689226C2211yescharacteristic, complemented
162#15689222C2211yescharacteristic, complemented
163#15689210C2211yescharacteristic, complemented
164#15689208C2211yescharacteristic, complemented
165#15689205C2211yescharacteristic, complemented
166#15689203C2211yescharacteristic, complemented
167#15689194C2211yescharacteristic, complemented
168#15689194C2211yescharacteristic, complemented
169#15689191C2211yescharacteristic, complemented
170#15689191C2211yescharacteristic, complemented
171C8×C22⋊D47C2211yescharacteristic, complemented
172C8×C22⋊D47C2211yescharacteristic, complemented
173(C22⋊D47)⋊C8C2211yescharacteristic, complemented
174(C22⋊D47)⋊C8C2211yescharacteristic, complemented
175#15689181C2211yescharacteristic, complemented
176#15689181C2211yescharacteristic, complemented
177#15689126C2211yescharacteristic, complemented
178#15689126C2211yescharacteristic, complemented
179#15689120C2211yescharacteristic, complemented
180#15689120C2211yescharacteristic, complemented
181#15689118C2211yescharacteristic, complemented
182#15689118C2211yescharacteristic, complemented
183#15689117C2211yescharacteristic, complemented
184#15689117C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic
186#15689088C2211yescharacteristic
187C2×C22⋊(C47⋊C8)C2211yescharacteristic, complemented
188C47×#525C2211yescharacteristic, complemented
189C47×#525C2211yescharacteristic, complemented
190C47×#485C2211yescharacteristic, complemented
191C47×#485C2211yescharacteristic, complemented
192C47×#482C2211yescharacteristic, complemented
193C47×#482C2211yescharacteristic, complemented
194C47×#467C2211yescharacteristic, complemented
195C47×#466C2211yescharacteristic, complemented
196C47×#465C2211yescharacteristic, complemented
197C47×#465C2211yescharacteristic, complemented
198C47×#452C2211yescharacteristic, complemented
199C47×#452C2211yescharacteristic, complemented
200C47×#449C2211yescharacteristic
201C47×#449C2211yescharacteristic, complemented
202C2×C22⋊C8×C47C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625354C2311yescharacteristic
207C2×#10625350—21no—
208C2×#10625350—21no—
209C2×#10625350—21no—
210C2×#10625350—42no—
211C2×#10625350—42no—
212C2×#10625350C2311yescharacteristic
213C2×#10625350C2311yescharacteristic
214C2×#10625350C2311yescharacteristic
215C2×#10625350C2311yescharacteristic
216C2×#10625350C2311yescharacteristic
217C2×#10625350C2311yescharacteristic
218C22×Dic94C2311yescharacteristic
219C2×Q8×D47C2311yescharacteristic
220C22×D188—21no—
221C22×D188C2311yescharacteristic
222C22×C22⋊D47—21no—
223C2×D4×D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47C2311yescharacteristic
226C2×D4×D47C2311yescharacteristic
227C2×D4×D47C2311yescharacteristic
228C22×C4×D47—21no—
229#13094056—42no—
230#13094051—42no—
231#13094046—42no—
232#13094046—42no—
233#13094044—42no—
234#13094044—42no—
235C2×Dic188C2311yescharacteristic
236C2×Dic188C2311yescharacteristic
237C2×#10625337C2311yescharacteristic
238C2×#10625337C2311yescharacteristic
239C2×#10625337C2311yescharacteristic
240C2×#10625325C2311yescharacteristic
241C2×#10625325C2311yescharacteristic
242C2×#10625325C2311yescharacteristic
243C2×#10625325C2311yescharacteristic
244C2×#10625335C2311yescharacteristic
245C2×#10625335C2311yescharacteristic
246C2×#10625335C2311yescharacteristic
247C2×#10625336C2311yescharacteristic
248C2×#10625336C2311yescharacteristic
249C2×#10625336C2311yescharacteristic
250SD16×D47—42no—
251C2×D376C2311yescharacteristic
252C2×D376C2311yescharacteristic
253C2×#10625334C2311yescharacteristic
254C2×#10625334C2311yescharacteristic
255C2×#10625334C2311yescharacteristic
256D8×D47—42no—
257C2×#10625324C2311yescharacteristic
258C2×#10625324C2311yescharacteristic
259C22×C47⋊C8C2311yescharacteristic
260C22×C47⋊C8C2311yescharacteristic
261C2×C8×D47C2311yescharacteristic
262C2×C8×D47C2311yescharacteristic
263#13094024—21no—
264#13094023—21no—
265#13094023C2311yescharacteristic
266#13094023C2311yescharacteristic
267#13094022C2311yescharacteristic
268#13094022C2311yescharacteristic
269#13094020—21no—
270#13094019—21no—
271#13094019—21no—
272#13094018—21no—
273#13094017—21no—
274#13094017—21no—
275#13094017—21no—
276#13094013C2311yescharacteristic
277#13094012—21no—
278#13094012—21no—
279#13094011—21no—
280#13094011—21no—
281#13094011—21no—
282#13094011C2311yescharacteristic
283#13094011C2311yescharacteristic
284#13094011C2311yescharacteristic
285#13094010—21no—
286#13094010—21no—
287#13094010—21no—
288#13094010—21no—
289#13094010—21no—
290#13094010—21no—
291#13094010—21no—
292#13094010—21no—
293#13094009—21no—
294#13094009—21no—
295#13094009—21no—
296#13094009—21no—
297#13094009—21no—
298#13094008—21no—
299#13094008—21no—
300#13094007—21no—
301#13094007—21no—
302#13094007D411yescharacteristic
303#13094007D411yescharacteristic
304#13094006—21no—
305#13094006—21no—
306#13094006—21no—
307#13094006—21no—
308#13094006—21no—
309#13094006—21no—
310#13094006—21no—
311#13094006—21no—
312#13094006—21no—
313#13094006—21no—
314#13094006—21no—
315#13094005—21no—
316#13094005—21no—
317#13094005—21no—
318#13094004—21no—
319#13094004C2311yescharacteristic
320#13094004C2311yescharacteristic
321#13094004C2311yescharacteristic
322#13094004C2311yescharacteristic
323#13094004C2311yescharacteristic
324#13094003—21no—
325#13094003—21no—
326#13094003—21no—
327#13094003D411yescharacteristic
328#13094003D411yescharacteristic
329#13094003C2311yescharacteristic
330#13094003C2311yescharacteristic
331#13094002—21no—
332#13094001—21no—
333#13094000C2311yescharacteristic
334#13093999C2311yescharacteristic
335#13093998D411yescharacteristic
336#13093998D411yescharacteristic
337#13093998C2311yescharacteristic
338#13093998C2311yescharacteristic
339#13093997—21no—
340#13093997—21no—
341#13093997—21no—
342#13093997—21no—
343#13093997—21no—
344#13093997—21no—
345#13093996—21no—
346#13093996—21no—
347#13093995—21no—
348#13093995—21no—
349#13093995—21no—
350#13093995—21no—
351#13093995—21no—
352#13093995—21no—
353#13093995C2311yescharacteristic
354#13093994—21no—
355#13093993—21no—
356#13093993D411yescharacteristic
357#13093993D411yescharacteristic
358#13093992—21no—
359#13093992—21no—
360#13093992—21no—
361#13093992—21no—
362#13093992—21no—
363#13093992—21no—
364#13093992—21no—
365Q8×Dic47C2311yescharacteristic
366C4×Dic94—21no—
367#13093989—21no—
368#13093989C2311yescharacteristic
369C4×D188—21no—
370C4×D188—21no—
371D4×Dic47C2311yescharacteristic
372#13093986—21no—
373#13093986C2311yescharacteristic
374#13093986C2311yescharacteristic
375#13093986C2311yescharacteristic
376#13093986C2311yescharacteristic
377#13093986C2311yescharacteristic
378C4×C22⋊D47—21no—
379C4×C22⋊D47—21no—
380C4×C22⋊D47—21no—
381C4×C22⋊D47C2311yescharacteristic
382C4×C22⋊D47C2311yescharacteristic
383C4×C22⋊D47C2311yescharacteristic
384C4×C22⋊D47C2311yescharacteristic
385#13093983C2311yescharacteristic
386#13093983C2311yescharacteristic
387#13093982C2311yescharacteristic
388#13093982C2311yescharacteristic
389#13093981—21no—
390#13093980—21no—
391C4⋊C4×D47—21no—
392C4⋊C4×D47—21no—
393C4⋊C4×D47—21no—
394C4⋊C4×D47—21no—
395C2×(C2×D47)⋊C4—21no—
396C22⋊C4×D47—21no—
397C22⋊C4×D47—21no—
398C22⋊C4×D47—21no—
399C22⋊C4×D47—21no—
400C22⋊C4×D47—21no—
401C22⋊C4×D47—21no—
402C22⋊C4×D47—21no—
403#13093957C2311yescharacteristic
404#13093957C2311yescharacteristic
405#13093955C2311yescharacteristic
406#13093955C2311yescharacteristic
407Dic47⋊C8C2311yescharacteristic
408Dic47⋊C8C2311yescharacteristic
409Dic47⋊C8C2311yescharacteristic
410Dic47⋊C8C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093949C2311yescharacteristic
414#13093949C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093948C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093947C2311yescharacteristic
422#13093947C2311yescharacteristic
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
449C23×C4×C47C2311yescharacteristic
450C2×Q16×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×SD16×C47C2311yescharacteristic
453C2×D8×C47C2311yescharacteristic
454C22×C8×C47C2311yescharacteristic
455C22×C8×C47C2311yescharacteristic
456#123×C47—21no—
457#123×C47—21no—
458C22⋊Q8×C47C2311yescharacteristic
459C22⋊Q8×C47C2311yescharacteristic
460C22⋊Q8×C47C2311yescharacteristic
461C22⋊Q8×C47C2311yescharacteristic
462#121×C47C2311yescharacteristic
463#121×C47C2311yescharacteristic
464#121×C47C2311yescharacteristic
465#121×C47C2311yescharacteristic
466#120×C47—21no—
467#120×C47—21no—
468C4×D4×C47—21no—
469C4×D4×C47—21no—
470C4×D4×C47—21no—
471C4×D4×C47—21no—
472#117×C47C2311yescharacteristic
473#117×C47C2311yescharacteristic
474#107×C47C2311yescharacteristic
475#107×C47C2311yescharacteristic
476#106×C47C2311yescharacteristic
477#106×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#103×C47C2311yescharacteristic
481#103×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×C47C2×D411yescharacteristic
491C23×D47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495#41×C47—41no—
496#41×C47—41no—
497#41×C47—41no—
498#41×C47—41no—
499C2×Q8×C47C2411yescharacteristic
500C2×Q8×C47C2411yescharacteristic
501C2×D4×C47—21no—
502C2×D4×C47—21no—
503C2×D4×C47—21no—
504C2×D4×C47—21no—
505C2×D4×C47—21no—
506C2×D4×C47—21no—
507C2×D4×C47C2411yescharacteristic
508C2×D4×C47C2411yescharacteristic
509C22×C4×C47—21no—
510C22×C4×C47—21no—
511C22×C4×C47—41no—
512C22×C4×C47—41no—
513C22×C4×C47C2×D411yescharacteristic
514C22×C4×C47C2×D411yescharacteristic
515C22×C4×C47C2×D411yescharacteristic
516C22×C4×C47C2411yescharacteristic
517C22×C4×C47C2411yescharacteristic
518C22×C4×C47C2411yescharacteristic
519C2×C22⋊D47—21no—
520C2×C22⋊D47—21no—
521C2×C22⋊D47—21no—
522C2×C22⋊D47—21no—
523C2×C22⋊D47—21no—
524C2×C22⋊D47—21no—
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—44no—
531C2×C22⋊D47C2×D411yescharacteristic
532C2×C22⋊D47C2×D411yescharacteristic
533C2×C22⋊D47C2×D411yescharacteristic
534C2×C22⋊D47C2×D411yescharacteristic
535C2×C22⋊D47C2×D411yescharacteristic
536C2×C22⋊D47C2×D411yescharacteristic
537C22×Dic47—21no—
538C22×Dic47—21no—
539#10625354—22no—
540#10625354—22no—
541#10625354—41no—
542#10625354—41no—
543Q8×D47—41no—
544Q8×D47—41no—
545D4×D47—22no—
546D4×D47—22no—
547D4×D47—41no—
548D4×D47—41no—
549D4×D47—41no—
550D4×D47—41no—
551D4×D47—44no—
552D4×D47—44no—
553#10625350—22no—
554#10625350—22no—
555#10625350—22no—
556#10625350—22no—
557#10625350—41no—
558#10625350—41no—
559#10625350—41no—
560#10625350—41no—
561#10625350—41no—
562#10625350—41no—
563#10625350—41no—
564#10625350—41no—
565#10625350—44no—
566#10625350—44no—
567#10625350—44no—
568C2×D188—21no—
569C2×D188—22no—
570C2×D188—22no—
571C2×D188—21no—
572C2×D188—21no—
573C2×D188—21no—
574C2×D188—44no—
575C2×D188C2×D411yescharacteristic
576C2×D188C2411yescharacteristic
577C2×D188C2411yescharacteristic
578C2×D188C2411yescharacteristic
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—21no—
586C2×C4×D47—21no—
587C2×C4×D47—21no—
588C2×C4×D47—21no—
589C2×C4×D47—21no—
590C2×C4×D47—21no—
591C2×C4×D47—21no—
592C2×C4×D47—44no—
593C2×C4×D47C2411yescharacteristic
594C2×C4×D47C2411yescharacteristic
595C2×Dic94—21no—
596C2×Dic94—21no—
597C2×Dic94—21no—
598C2×Dic94—21no—
599C2×Dic94—41no—
600C2×Dic94—41no—
601C2×Dic94C2×D411yescharacteristic
602C2×Dic94C2411yescharacteristic
603C2×Dic94C2411yescharacteristic
604C2×Dic94C2411yescharacteristic
605Q16×C47—41no—
606SD16×C47—41no—
607SD16×C47—41no—
608D8×C47—41no—
609C2×C8×C47—41no—
610C2×C8×C47—41no—
611C2×C8×C47C2411yescharacteristic
612C2×C8×C47C2411yescharacteristic
613C2×C8×C47C2411yescharacteristic
614C2×C8×C47C2411yescharacteristic
615C4⋊C4×C47—21no—
616C4⋊C4×C47—21no—
617C4⋊C4×C47—21no—
618C4⋊C4×C47—21no—
619C4⋊C4×C47C2411yescharacteristic
620C4⋊C4×C47C2411yescharacteristic
621C4⋊C4×C47C2411yescharacteristic
622C4⋊C4×C47C2411yescharacteristic
623C22⋊C4×C47—21no—
624C22⋊C4×C47—21no—
625C22⋊C4×C47—21no—
626C22⋊C4×C47—21no—
627C22⋊C4×C47—21no—
628C22⋊C4×C47—21no—
629C22⋊C4×C47—21no—
630C22⋊C4×C47—21no—
631C22⋊C4×C47—21no—
632C22⋊C4×C47—21no—
633C42×C47—21no—
634C42×C47—21no—
635C22⋊Dic47—21no—
636C22⋊Dic47—21no—
637C22⋊Dic47—21no—
638C22⋊Dic47—21no—
639C22⋊Dic47—21no—
640C22⋊Dic47—21no—
641C22⋊Dic47—21no—
642C22⋊Dic47—21no—
643C22⋊Dic47—21no—
644C22⋊Dic47—21no—
645C22⋊Dic47—21no—
646C22⋊Dic47C2×D411yescharacteristic
647C22⋊Dic47C2×D411yescharacteristic
648C22⋊Dic47C2×D411yescharacteristic
649C22⋊Dic47C2×D411yescharacteristic
650C22⋊Dic47C2×D411yescharacteristic
651C22⋊Dic47C2×D411yescharacteristic
652#10625337—41no—
653#10625337—41no—
654#10625337—41no—
655#10625336—22no—
656#10625336—22no—
657#10625336—41no—
658#10625335—41no—
659#10625335—41no—
660#10625335—41no—
661#10625334—22no—
662#10625334—22no—
663#10625334—41no—
664(C2×D47)⋊C4—21no—
665(C2×D47)⋊C4—21no—
666(C2×D47)⋊C4—21no—
667(C2×D47)⋊C4—21no—
668(C2×D47)⋊C4—21no—
669(C2×D47)⋊C4—21no—
670(C2×D47)⋊C4—21no—
671(C2×D47)⋊C4—21no—
672(C2×D47)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
683(C2×D47)⋊C4C2×D411yescharacteristic
684(C2×D47)⋊C4C2×D411yescharacteristic
685(C2×D47)⋊C4C2×D411yescharacteristic
686C4⋊Dic47—21no—
687C4⋊Dic47—21no—
688C4⋊Dic47—21no—
689C4⋊Dic47—21no—
690C4⋊Dic47—21no—
691C4⋊Dic47—21no—
692C4⋊Dic47C2×D411yescharacteristic
693C4⋊Dic47C2×D411yescharacteristic
694C4⋊Dic47C2411yescharacteristic
695C4⋊Dic47C2411yescharacteristic
696Dic47⋊C4—21no—
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⋊C4C2×D411yescharacteristic
707Dic47⋊C4C2×D411yescharacteristic
708Dic47⋊C4C2×D411yescharacteristic
709Dic47⋊C4C2×D411yescharacteristic
710C4×Dic47—21no—
711C4×Dic47—21no—
712C4×Dic47—21no—
713C4×Dic47—21no—
714C4×Dic47—21no—
715C4×Dic47C2411yescharacteristic
716C4×Dic47C2411yescharacteristic
717C2×C47⋊C8—41no—
718C2×C47⋊C8—41no—
719C2×C47⋊C8C2411yescharacteristic
720C2×C47⋊C8C2411yescharacteristic
721C2×C47⋊C8C2411yescharacteristic
722C2×C47⋊C8C2411yescharacteristic
723Dic188—41no—
724Dic188—41no—
725D376—22no—
726D376—22no—
727#10625325—22no—
728#10625325—22no—
729#10625325—41no—
730#10625325—41no—
731#10625324—41no—
732#10625324—41no—
733C8×D47—41no—
734C8×D47—41no—
735C23×C47—21no—
736C23×C47—21no—
737C23×C47—41no—
738C23×C47—41no—
739C23×C47—41no—
740C23×C47C22×D411yescharacteristic
741C23×C47C22×D411yescharacteristic
742C23×C47C22×D411yescharacteristic
743C22×D47—21no—
744C22×D47—21no—
745C22×D47—24no—
746C22×D47—21no—
747C22×D47—42no—
748C22×D47—42no—
749C22×D47—81no—
750C22×D47—81no—
751C22×D47—81no—
752C22×D47—81no—
753C22×D47—81no—
754C22×D47—81no—
755C22×D47—81no—
756C22×D47—81no—
757C22×D47—81no—
758C22×D47C22×D411yescharacteristic
759C22×D47C22×D411yescharacteristic
760Q8×C47—21no—
761Q8×C47—21no—
762Q8×C47—21no—
763Q8×C47—21no—
764D4×C47—21no—
765D4×C47—21no—
766D4×C47—21no—
767D4×C47—21no—
768D4×C47—42no—
769D4×C47—81no—
770D4×C47—81no—
771D4×C47—81no—
772D4×C47—81no—
773D4×C47—81no—
774C2×C4×C47—21no—
775C2×C4×C47—21no—
776C2×C4×C47—21no—
777C2×C4×C47—21no—
778C2×C4×C47—21no—
779C2×C4×C47—21no—
780C2×C4×C47—21no—
781C2×C4×C47—21no—
782C2×C4×C47—21no—
783C2×C4×C47—21no—
784C2×C4×C47—21no—
785C2×C4×C47—21no—
786C2×C4×C47—41no—
787C2×C4×C47—41no—
788C2×C4×C47—41no—
789C2×C4×C47—42no—
790C2×C4×C47—81no—
791C2×C4×C47C22×D411yescharacteristic
792C2×C4×C47C22×D411yescharacteristic
793C2×C4×C47C22×D411yescharacteristic
794C2×C4×C47C2511yescharacteristic
795C22⋊D47—41no—
796C22⋊D47—41no—
797C22⋊D47—41no—
798C22⋊D47—41no—
799C22⋊D47—41no—
800C22⋊D47—41no—
801C22⋊D47—42no—
802C22⋊D47—42no—
803C22⋊D47—42no—
804C22⋊D47—42no—
805C22⋊D47—42no—
806C22⋊D47—42no—
807C22⋊D47—81no—
808C22⋊D47—81no—
809C22⋊D47—81no—
810C22⋊D47—81no—
811C22⋊D47—81no—
812C2×Dic47—21no—
813C2×Dic47—21no—
814C2×Dic47—21no—
815C2×Dic47—21no—
816C2×Dic47—21no—
817C2×Dic47—42no—
818C2×Dic47—81no—
819C2×Dic47C22×D411yescharacteristic
820C2×Dic47C22×D411yescharacteristic
821C2×Dic47C22×D411yescharacteristic
822C2×Dic47C22×D411yescharacteristic
823C2×Dic47C22×D411yescharacteristic
824C2×Dic47C22×D411yescharacteristic
825D188—24no—
826D188—21no—
827D188—21no—
828D188—21no—
829D188—21no—
830D188—41no—
831D188—42no—
832D188—42no—
833D188—81no—
834D188H(5,𝔽2)12yes—
835D188H(5,𝔽2)12yes—
836C4×D47—21no—
837C4×D47—21no—
838C4×D47—21no—
839C4×D47—21no—
840C4×D47—42no—
841C4×D47—42no—
842C4×D47—42no—
843C4×D47—42no—
844C4×D47—42no—
845C4×D47—42no—
846C4×D47—81no—
847C4×D47—81no—
848C4×D47—81no—
849C4×D47—81no—
850C4×D47—81no—
851C4×D47—81no—
852C4×D47—81no—
853Dic94—21no—
854Dic94—21no—
855Dic94—21no—
856Dic94—21no—
857Dic94—21no—
858Dic94—21no—
859Dic94—41no—
860Dic94—42no—
861Dic94—81no—
862Dic94—81no—
863Dic94—81no—
864C8×C47—21no—
865C8×C47—21no—
866C8×C47—21no—
867C8×C47—21no—
868C47⋊C8—21no—
869C47⋊C8—21no—
870C47⋊C8—21no—
871C47⋊C8—21no—
872#61636—471nomaximal, Sylow
873C22×C47—21no—
874C22×C47—21no—
875C22×C47—21no—
876C22×C47—21no—
877C22×C47—21no—
878C22×C47—21no—
879C22×C47—21no—
880C22×C47—21no—
881C22×C47—21no—
882C22×C47—41no—
883C22×C47—41no—
884C22×C47—41no—
885C22×C47—41no—
886C22×C47—41no—
887C22×C47—41no—
888C22×C47—82no—
889C22×C47C23×D411yescharacteristic
890C2×D47—21no—
891C2×D47—21no—
892C2×D47—21no—
893C2×D47—21no—
894C2×D47—21no—
895C2×D47—21no—
896C2×D47—22no—
897C2×D47—22no—
898C2×D47—41no—
899C2×D47—41no—
900C2×D47—41no—
901C2×D47—41no—
902C2×D47—41no—
903C2×D47—41no—
904C2×D47—41no—
905C2×D47—84no—
906C2×D47—162no—
907C2×D47—162no—
908C2×D47—162no—
909C4×C47—21no—
910C4×C47—21no—
911C4×C47—21no—
912C4×C47—41no—
913C4×C47—41no—
914C4×C47—41no—
915C4×C47—41no—
916C4×C47—41no—
917C4×C47—41no—
918C4×C47C2×H(5,𝔽2)11yescharacteristic
919C4×C47C2×H(5,𝔽2)11yescharacteristic
920Dic47—21no—
921Dic47—21no—
922Dic47—21no—
923Dic47—21no—
924Dic47—21no—
925Dic47—21no—
926Dic47—41no—
927Dic47—41no—
928Dic47—41no—
929Dic47—41no—
930Dic47—41no—
931#3540—471no—
932#3485—471no—
933#3319—471no—
934#3319—471no—
935#3311—471no—
936#3311—471no—
937#3303—471no—
938#3303—471no—
939#3302—471no—
940#3302—471no—
941#3282—471no—
942#3282—471no—
943#3280—471no—
944#3280—471no—
945#3269—471no—
946#3269—471no—
947#3267—471no—
948#3267—471no—
949#3225—471no—
950#3225—471no—
951#3202—471no—
952#3200—471no—
953#3191—471no—
954#3191D4711yescharacteristic, complemented
955#3118—471no—
956#3118—471no—
957#3009—471no—
958#3008—471no—
959#3002—471no—
960#3002—471no—
961#2977—471no—
962C2×C47—41no—
963C2×C47—41no—
964C2×C47—41no—
965C2×C47—81no—
966C2×C47—81no—
967C2×C47#348411yescharacteristic
968C2×C47#358411yescharacteristic
969C2×C47#358411yescharacteristic
970D47—41no—
971D47—41no—
972D47—42no—
973D47—42no—
974D47—81no—
975C2×H(5,𝔽2)—471no—
976C22×#41—471no—
977C2×#137—471no—
978C2×AGL(1,ℤ/8)—471no—
979C2×#135—471no—
980C2×#135—471no—
981C2×#135—471no—
982C2×#135—471no—
983C22×SD16—471no—
984C22×D8—471no—
985H(3,𝔽4)—941no—
986#560—941no—
987#559—941no—
988#556—471no—
989#556—471no—
990#555—471no—
991#555—471no—
992#551—941no—
993#548—471no—
994#548—471no—
995#547—471no—
996#547—471no—
997#547—471no—
998#547—471no—
999#547—941no—
1000#547—941no—
1001#546—471no—
1002#546—471no—
1003#546—471no—
1004#546—471no—
1005#546—471no—
1006#546—471no—
1007#546—941no—
1008#546—941no—
1009#542—471no—
1010#542—471no—
1011#542—941no—
1012#542—941no—
1013#538—941no—
1014#538—941no—
1015#536—471no—
1016#536—471no—
1017#536—471no—
1018#535—471no—
1019#534—941no—
1020#534—941no—
1021#525—471no—
1022#525—471no—
1023#525C2×D4711yescharacteristic, complemented
1024#525C2×D4711yescharacteristic, complemented
1025C2×#123—941no—
1026C2×#123—941no—
1027#518—471no—
1028#497—471no—
1029#497—471no—
1030#495—471no—
1031#495—471no—
1032#489—471no—
1033#489—471no—
1034#487—471no—
1035#487—471no—
1036#485—471no—
1037#485—471no—
1038#485—471no—
1039#485—471no—
1040#485—471no—
1041#485—471no—
1042#485C2×D4711yescharacteristic, complemented
1043#485C2×D4711yescharacteristic, complemented
1044#482—471no—
1045#482—471no—
1046#482C2×D4711yescharacteristic, complemented
1047#482C2×D4711yescharacteristic, complemented
1048#476—471no—
1049#476—471no—
1050#474—471no—
1051#474—471no—
1052#470—471no—
1053#470—471no—
1054#468—471no—
1055#468—471no—
1056#467—471no—
1057#467—471no—
1058#467—471no—
1059#467C2×D4711yescharacteristic, complemented
1060#466—471no—
1061#466C2×D4711yescharacteristic, complemented
1062#465—471no—
1063#465—471no—
1064#465—471no—
1065#465—471no—
1066#465C2×D4711yescharacteristic, complemented
1067#465C2×D4711yescharacteristic, complemented
1068#464—471no—
1069#464—471no—
1070#463—471no—
1071#463—471no—
1072#463—471no—
1073#463—471no—
1074#463—471no—
1075#463—471no—
1076#462—471no—
1077#462—471no—
1078#461—471no—
1079#461—471no—
1080#452—471no—
1081#452—471no—
1082#452—471no—
1083#452—471no—
1084#452—471no—
1085#452—471no—
1086#452—471no—
1087#452—471no—
1088#452C2×D4711yescharacteristic, complemented
1089#452C2×D4711yescharacteristic, complemented
1090#451—471no—
1091#451—471no—
1092#451—471no—
1093#451—471no—
1094#450—471no—
1095#450—471no—
1096#450—471no—
1097#450—471no—
1098#450—471no—
1099#450—471no—
1100#449—471no—
1101#449—471no—
1102#449—471no—
1103#449—471no—
1104#449—471no—
1105#449—471no—
1106#449—471no—
1107#449—471no—
1108#449C2×D4711yescharacteristic
1109#449C2×D4711yescharacteristic, complemented
1110#448—471no—
1111#448—471no—
1112#447—471no—
1113#447—471no—
1114#447—471no—
1115#447—471no—
1116#442—471no—
1117#442—471no—
1118#440—471no—
1119#440—471no—
1120C4×SD16—471no—
1121C4×SD16—471no—
1122C4×D8—471no—
1123C4×D8—471no—
1124#435—471no—
1125#435—471no—
1126#435—471no—
1127#435—471no—
1128C8×D4—471no—
1129C8×D4—471no—
1130C8×D4—471no—
1131C8×D4—471no—
1132#433—471no—
1133#433—471no—
1134#418—471no—
1135#418—471no—
1136#416—471no—
1137#416—471no—
1138#416—471no—
1139#416—471no—
1140#416—471no—
1141#416—471no—
1142#408—471no—
1143#408—471no—
1144C2×C22⋊C8—471no—
1145C2×C22⋊C8C2×D4711yescharacteristic, complemented
1146C47#6163611yescharacteristic, complemented, Sylow
1147H(5,𝔽2)—1882no—
1148H(5,𝔽2)—1882no—
1149C2×#41—471no—
1150C2×#41—471no—
1151C2×#41—471no—
1152C2×#41—471no—
1153C2×#41—471no—
1154C2×#41—471no—
1155C2×#41—471no—
1156C2×#41—471no—
1157C2×#41—941no—
1158C2×#41—941no—
1159C2×#41—941no—
1160C2×#41—1882no—
1161C2×#41—1882no—
1162C2×#41C22×D4711yescharacteristic
1163C2×#41C22×D4711yescharacteristic
1164C22×Q8—471no—
1165C22×Q8—471no—
1166C22×D4—471no—
1167C22×D4—471no—
1168C22×D4—471no—
1169C22×D4—471no—
1170C22×D4—941no—
1171C22×D4—941no—
1172C22×D4—941no—
1173C22×D4—941no—
1174C23×C4—941no—
1175C23×C4C22×D4711yescharacteristic
1176#137—1882no—
1177AGL(1,ℤ/8)—1882no—
1178#135—1882no—
1179#135—1882no—
1180#135—1882no—
1181#135—1882no—
1182C2×Q16—471no—
1183C2×Q16—471no—
1184C2×Q16—471no—
1185C2×Q16—471no—
1186C2×Q16—471no—
1187C2×Q16C22×D4711yescharacteristic
1188C2×SD16—471no—
1189C2×SD16—471no—
1190C2×SD16—471no—
1191C2×SD16—471no—
1192C2×SD16—471no—
1193C2×SD16—471no—
1194C2×SD16—471no—
1195C2×SD16—471no—
1196C2×SD16—471no—
1197C2×SD16—471no—
1198C2×SD16—1882no—
1199C2×SD16C22×D4711yescharacteristic
1200C2×SD16C22×D4711yescharacteristic
1201C2×D8—471no—
1202C2×D8—471no—
1203C2×D8—471no—
1204C2×D8—471no—
1205C2×D8—471no—
1206C2×D8—1882no—
1207C2×D8C22×D4711yescharacteristic
1208C2×M16—471no—
1209C2×M16—471no—
1210C22×C8—471no—
1211C22×C8—471no—
1212C22×C8—471no—
1213C22×C8—471no—
1214C22×C8C22×D4711yescharacteristic
1215C22×C8C22×D4711yescharacteristic
1216C4⋊Q8—471no—
1217C4⋊Q8—471no—
1218C4⋊Q8—471no—
1219C4⋊Q8—471no—
1220C4⋊Q8—941no—
1221C4⋊Q8—941no—
1222#127—941no—
1223#126—941no—
1224#126—941no—
1225#126—941no—
1226#126—941no—
1227#126—941no—
1228#126—941no—
1229#124—471no—
1230#124—471no—
1231#124—471no—
1232#124—471no—
1233#124—941no—
1234#124—941no—
1235#124—941no—
1236#124—941no—
1237#124—941no—
1238#124—941no—
1239#124—941no—
1240#124—941no—
1241#124—941no—
1242#124—941no—
1243#124—941no—
1244#124—941no—
1245#124—941no—
1246#123—21no—
1247#123—21no—
1248#123—471no—
1249#123—471no—
1250#123—941no—
1251#123—941no—
1252#123—941no—
1253#123—941no—
1254#123—941no—
1255#123—941no—
1256#123—941no—
1257#123—941no—
1258#123—941no—
1259#123—941no—
1260#123—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—
1273C22⋊Q8—471no—
1274C22⋊Q8—471no—
1275C22⋊Q8—471no—
1276C22⋊Q8—471no—
1277C22⋊Q8—471no—
1278C22⋊Q8—471no—
1279C22⋊Q8—471no—
1280C22⋊Q8—471no—
1281C22⋊Q8—471no—
1282C22⋊Q8—471no—
1283C22⋊Q8—941no—
1284C22⋊Q8—941no—
1285C22⋊Q8—941no—
1286C22⋊Q8—941no—
1287C22⋊Q8—941no—
1288C22⋊Q8—941no—
1289C22⋊Q8C22×D4711yescharacteristic
1290C22⋊Q8C22×D4711yescharacteristic
1291C22⋊Q8C22×D4711yescharacteristic
1292C22⋊Q8C22×D4711yescharacteristic
1293#121—471no—
1294#121—471no—
1295#121—471no—
1296#121—471no—
1297#121—471no—
1298#121—471no—
1299#121—941no—
1300#121—941no—
1301#121—941no—
1302#121—941no—
1303#121—941no—
1304#121—941no—
1305#121—941no—
1306#121—941no—
1307#121—941no—
1308#121—941no—
1309#121—941no—
1310#121—941no—
1311#121—941no—
1312#121—941no—
1313#121C22×D4711yescharacteristic
1314#121C22×D4711yescharacteristic
1315#121C22×D4711yescharacteristic
1316#121C22×D4711yescharacteristic
1317#120—21no—
1318#120—21no—
1319#120—471no—
1320#120—471no—
1321#120—941no—
1322#120—941no—
1323#120—941no—
1324#120—941no—
1325#120—941no—
1326#120—941no—
1327#120—941no—
1328#120—941no—
1329#120—941no—
1330C4×Q8—471no—
1331C4×Q8—471no—
1332C4×Q8—941no—
1333C4×Q8—941no—
1334C4×D4—21no—
1335C4×D4—21no—
1336C4×D4—21no—
1337C4×D4—21no—
1338C4×D4—471no—
1339C4×D4—471no—
1340C4×D4—471no—
1341C4×D4—471no—
1342C4×D4—471no—
1343C4×D4—471no—
1344C4×D4—471no—
1345C4×D4—471no—
1346C4×D4—471no—
1347C4×D4—471no—
1348C4×D4—941no—
1349C4×D4—941no—
1350C4×D4—941no—
1351C4×D4—941no—
1352C4×D4—941no—
1353C4×D4—941no—
1354#117—471no—
1355#117—471no—
1356#117—471no—
1357#117—471no—
1358#117—941no—
1359#117—941no—
1360#117C22×D4711yescharacteristic
1361#117C22×D4711yescharacteristic
1362C2×C4⋊C4—941no—
1363C2×C4⋊C4—941no—
1364C2×C4⋊C4—941no—
1365C2×C4⋊C4—941no—
1366C2×C22⋊C4—941no—
1367C2×C22⋊C4—941no—
1368C2×C22⋊C4—941no—
1369C2×C22⋊C4—941no—
1370C2×C22⋊C4—941no—
1371C2×C22⋊C4—941no—
1372C2×C22⋊C4—941no—
1373C2×C22⋊C4—941no—
1374#107—471no—
1375#107—471no—
1376#107C22×D4711yescharacteristic
1377#107C22×D4711yescharacteristic
1378#106—471no—
1379#106—471no—
1380#106C22×D4711yescharacteristic
1381#106C22×D4711yescharacteristic
1382C4⋊C8—471no—
1383C4⋊C8—471no—
1384C4⋊C8—471no—
1385C4⋊C8—471no—
1386#103—471no—
1387#103—471no—
1388#103—471no—
1389#103—471no—
1390#103—471no—
1391#103—471no—
1392#103—471no—
1393#103—471no—
1394#103—471no—
1395#103—471no—
1396#103—471no—
1397#103—471no—
1398#103C22×D4711yescharacteristic
1399#103C22×D4711yescharacteristic
1400#103C22×D4711yescharacteristic
1401#103C22×D4711yescharacteristic
1402#102—471no—
1403#102—471no—
1404#102—471no—
1405#102—471no—
1406#102—471no—
1407#102—471no—
1408#102—471no—
1409#102—471no—
1410#102—471no—
1411#102—471no—
1412#102—471no—
1413#102—471no—
1414#102C22×D4711yescharacteristic
1415#102C22×D4711yescharacteristic
1416#102C22×D4711yescharacteristic
1417#102C22×D4711yescharacteristic
1418C22⋊C8—471no—
1419C22⋊C8—471no—
1420C22⋊C8—471no—
1421C22⋊C8—471no—
1422C22⋊C8—471no—
1423C22⋊C8—471no—
1424C22⋊C8—471no—
1425C22⋊C8—471no—
1426C22⋊C8C22×D4711yescharacteristic
1427C22⋊C8C22×D4711yescharacteristic
1428C22⋊C8C22×D4711yescharacteristic
1429C22⋊C8C22×D4711yescharacteristic
1430#97—471no—
1431#97—471no—
1432C4×C8—471no—
1433C4×C8—471no—
1434C24—941no—
1435C24—941no—
1436C24—941no—
1437C24—941no—
1438C24D4×D4711yescharacteristic
1439#41—41no—
1440#41—41no—
1441#41—41no—
1442#41—41no—
1443#41—942no—
1444#41—942no—
1445#41—942no—
1446#41—942no—
1447#41—942no—
1448#41—942no—
1449#41—1881no—
1450#41—1881no—
1451#41—1881no—
1452#41—1881no—
1453#41—1881no—
1454#41—1881no—
1455#41—1881no—
1456#41—1881no—
1457#41—1884no—
1458#41—1884no—
1459#41—1884no—
1460#41—1881no—
1461#41—1881no—
1462C2×Q8—471no—
1463C2×Q8—471no—
1464C2×Q8—471no—
1465C2×Q8—471no—
1466C2×Q8—941no—
1467C2×Q8—941no—
1468C2×Q8—941no—
1469C2×Q8—941no—
1470C2×Q8—1881no—
1471C2×Q8—1881no—
1472C2×Q8—1881no—
1473C2×Q8—1881no—
1474C2×Q8C23×D4711yescharacteristic
1475C2×Q8C23×D4711yescharacteristic
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—471no—
1483C2×D4—471no—
1484C2×D4—471no—
1485C2×D4—471no—
1486C2×D4—471no—
1487C2×D4—471no—
1488C2×D4—471no—
1489C2×D4—471no—
1490C2×D4—471no—
1491C2×D4—471no—
1492C2×D4—942no—
1493C2×D4—942no—
1494C2×D4—941no—
1495C2×D4—941no—
1496C2×D4—941no—
1497C2×D4—941no—
1498C2×D4—941no—
1499C2×D4—941no—
1500C2×D4—942no—
1501C2×D4—942no—
1502C2×D4—941no—
1503C2×D4—941no—
1504C2×D4—941no—
1505C2×D4—941no—
1506C2×D4—941no—
1507C2×D4—941no—
1508C2×D4—941no—
1509C2×D4—941no—
1510C2×D4—941no—
1511C2×D4—1884no—
1512C2×D4—1881no—
1513C2×D4—1881no—
1514C2×D4—1881no—
1515C2×D4—1881no—
1516C2×D4—1884no—
1517C2×D4—1884no—
1518C2×D4—1884no—
1519C2×D4C23×D4711yescharacteristic
1520C2×D4C23×D4711yescharacteristic
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—41no—
1524C22×C4—41no—
1525C22×C4—471no—
1526C22×C4—471no—
1527C22×C4—941no—
1528C22×C4—941no—
1529C22×C4—941no—
1530C22×C4—941no—
1531C22×C4—941no—
1532C22×C4—941no—
1533C22×C4—941no—
1534C22×C4—941no—
1535C22×C4—941no—
1536C22×C4—941no—
1537C22×C4—941no—
1538C22×C4—941no—
1539C22×C4—941no—
1540C22×C4—941no—
1541C22×C4—941no—
1542C22×C4—1884no—
1543C22×C4D4×D4711yescharacteristic
1544C22×C4D4×D4711yescharacteristic
1545C22×C4D4×D4711yescharacteristic
1546C22×C4C23×D4711yescharacteristic
1547C22×C4C23×D4711yescharacteristic
1548C22×C4C23×D4711yescharacteristic
1549Q16—41no—
1550Q16—1881no—
1551Q16—1881no—
1552Q16—1881no—
1553Q16—1881no—
1554Q16—1881no—
1555SD16—41no—
1556SD16—41no—
1557SD16—942no—
1558SD16—942no—
1559SD16—942no—
1560SD16—942no—
1561SD16—1881no—
1562SD16—1881no—
1563SD16—1881no—
1564SD16—1881no—
1565SD16—1881no—
1566SD16—1881no—
1567D8—41no—
1568D8—942no—
1569D8—942no—
1570D8—942no—
1571D8—942no—
1572D8—1881no—
1573M16—1881no—
1574M16—1881no—
1575C2×C8—41no—
1576C2×C8—41no—
1577C2×C8—471no—
1578C2×C8—471no—
1579C2×C8—471no—
1580C2×C8—471no—
1581C2×C8—1881no—
1582C2×C8—1881no—
1583C2×C8—1881no—
1584C2×C8—1881no—
1585C2×C8C23×D4711yescharacteristic
1586C2×C8C23×D4711yescharacteristic
1587C2×C8C23×D4711yescharacteristic
1588C2×C8C23×D4711yescharacteristic
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—471no—
1594C4⋊C4—471no—
1595C4⋊C4—471no—
1596C4⋊C4—471no—
1597C4⋊C4—471no—
1598C4⋊C4—471no—
1599C4⋊C4—471no—
1600C4⋊C4—471no—
1601C4⋊C4—941no—
1602C4⋊C4—941no—
1603C4⋊C4—941no—
1604C4⋊C4—941no—
1605C4⋊C4—941no—
1606C4⋊C4—941no—
1607C4⋊C4—941no—
1608C4⋊C4—941no—
1609C4⋊C4—941no—
1610C4⋊C4—941no—
1611C4⋊C4—941no—
1612C4⋊C4—941no—
1613C4⋊C4—941no—
1614C4⋊C4—941no—
1615C4⋊C4—941no—
1616C4⋊C4—941no—
1617C4⋊C4C23×D4711yescharacteristic
1618C4⋊C4C23×D4711yescharacteristic
1619C4⋊C4C23×D4711yescharacteristic
1620C4⋊C4C23×D4711yescharacteristic
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—471no—
1632C22⋊C4—471no—
1633C22⋊C4—471no—
1634C22⋊C4—471no—
1635C22⋊C4—471no—
1636C22⋊C4—471no—
1637C22⋊C4—471no—
1638C22⋊C4—471no—
1639C22⋊C4—471no—
1640C22⋊C4—471no—
1641C22⋊C4—941no—
1642C22⋊C4—941no—
1643C22⋊C4—941no—
1644C22⋊C4—941no—
1645C22⋊C4—941no—
1646C22⋊C4—941no—
1647C22⋊C4—941no—
1648C22⋊C4—941no—
1649C22⋊C4—941no—
1650C22⋊C4—941no—
1651C22⋊C4—941no—
1652C22⋊C4—941no—
1653C22⋊C4—941no—
1654C22⋊C4—941no—
1655C22⋊C4—941no—
1656C22⋊C4—941no—
1657C22⋊C4—941no—
1658C22⋊C4—941no—
1659C22⋊C4—941no—
1660C22⋊C4—941no—
1661C22⋊C4—941no—
1662C22⋊C4—941no—
1663C22⋊C4—941no—
1664C22⋊C4—941no—
1665C22⋊C4—941no—
1666C22⋊C4—941no—
1667C22⋊C4—941no—
1668C22⋊C4—941no—
1669C22⋊C4—941no—
1670C42—21no—
1671C42—21no—
1672C42—471no—
1673C42—471no—
1674C42—941no—
1675C42—941no—
1676C42—941no—
1677C42—941no—
1678C42—941no—
1679C23—21no—
1680C23—21no—
1681C23—41no—
1682C23—41no—
1683C23—41no—
1684C23—471no—
1685C23—471no—
1686C23—944no—
1687C23—941no—
1688C23—941no—
1689C23—941no—
1690C23—3761no—
1691C23—3761no—
1692C23—3761no—
1693C23—3761no—
1694C23—3761no—
1695C23—3761no—
1696C23—3761no—
1697C23—3761no—
1698C23—3761no—
1699C23—1882no—
1700C23—1882no—
1701C23C2×D4×D4711yescharacteristic
1702C23C2×D4×D4711yescharacteristic
1703C23C2×D4×D4711yescharacteristic
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—941no—
1709Q8—941no—
1710Q8—941no—
1711Q8—941no—
1712Q8—941no—
1713Q8—941no—
1714Q8—3761no—
1715Q8—3761no—
1716Q8—3761no—
1717Q8—1881no—
1718Q8—1882no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—42no—
1724D4—81no—
1725D4—81no—
1726D4—81no—
1727D4—81no—
1728D4—81no—
1729D4—472no—
1730D4—472no—
1731D4—944no—
1732D4—941no—
1733D4—941no—
1734D4—941no—
1735D4—941no—
1736D4—3761no—
1737D4—3761no—
1738D4—3761no—
1739D4—3761no—
1740D4—3761no—
1741D4—3761no—
1742D4—1881no—
1743D4—1882no—
1744D4—1882no—
1745D4—1881no—
1746D4—1881no—
1747D4—1881no—
1748D4—1881no—
1749D4—1881no—
1750D4—1881no—
1751D4—1882no—
1752D4—1882no—
1753D4—1882no—
1754D4—1882no—
1755D4—1882no—
1756D4—1882no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—42no—
1773C2×C4—81no—
1774C2×C4—471no—
1775C2×C4—471no—
1776C2×C4—471no—
1777C2×C4—471no—
1778C2×C4—471no—
1779C2×C4—471no—
1780C2×C4—941no—
1781C2×C4—941no—
1782C2×C4—941no—
1783C2×C4—941no—
1784C2×C4—941no—
1785C2×C4—941no—
1786C2×C4—941no—
1787C2×C4—941no—
1788C2×C4—941no—
1789C2×C4—3761no—
1790C2×C4—3761no—
1791C2×C4—3761no—
1792C2×C4—3761no—
1793C2×C4—3761no—
1794C2×C4—3761no—
1795C2×C4—3761no—
1796C2×C4—3761no—
1797C2×C4—1882no—
1798C2×C4—1882no—
1799C2×C4—1882no—
1800C2×C4—1882no—
1801C2×C4—1882no—
1802C2×C4—1882no—
1803C2×C4—1882no—
1804C2×C4C2×D4×D4711yescharacteristic
1805C2×C4C2×D4×D4711yescharacteristic
1806C2×C4C2×D4×D4711yescharacteristic
1807C2×C4C24×D4711yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—941no—
1813C8—941no—
1814C8—941no—
1815C8—941no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—82no—
1832C22—941no—
1833C22—941no—
1834C22—941no—
1835C22—941no—
1836C22—941no—
1837C22—941no—
1838C22—942no—
1839C22—942no—
1840C22—3764no—
1841C22—1881no—
1842C22—1881no—
1843C22—1881no—
1844C22—1881no—
1845C22—1881no—
1846C22—1881no—
1847C22—1881no—
1848C22—7522no—
1849C22—7522no—
1850C22—7522no—
1851C22C22×D4×D4711yescharacteristic
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—941no—
1862C4—941no—
1863C4—941no—
1864C4—941no—
1865C4—941no—
1866C4—941no—
1867C4—1881no—
1868C4—1881no—
1869C4—1881no—
1870C4—1881no—
1871C4—1881no—
1872C4H(5,𝔽2)×D4711yescharacteristic
1873C4H(5,𝔽2)×D4711yescharacteristic
1874C2—41no—
1875C2—41no—
1876C2—41no—
1877C2—81no—
1878C2—81no—
1879C2—3761no—
1880C2—1881no—
1881C2—1881no—
1882C2—1882no—
1883C2—1882no—
1884C2#2025702011yescharacteristic
1885C2#2025815711yescharacteristic
1886C2#2025816111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3191C2
socleC22×C47C23×D4
hypercenter#3191D47
hypocenterC47#61636
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3191

Complements

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

NH ≅ G/Ntype
1. #20257656C2semidirect
2. #20257030C2semidirect
3. #20255550C2semidirect
4. #20255542C2semidirect
5. #20255430C2semidirect
6. #20255422C2semidirect
7. #20255314C2semidirect
8. #20255311C2semidirect
9. #20255303C2semidirect
10. #20255300C2semidirect
11. #20255102C2semidirect
12. #20255098C2semidirect
13. #20255076C2semidirect
14. #20255071C2semidirect
15. #20254940C2semidirect
16. #20254936C2semidirect
17. #20254917C2semidirect
18. #20254910C2semidirect
19. #20254501C2semidirect
20. #20254493C2semidirect
21. #20254282C2semidirect
22. #20254262C2semidirect
23. #20254176C2semidirect
24. #20253575C2semidirect
25. #20253567C2semidirect
26. #20252662C2semidirect
27. #20252653C2semidirect
28. #20252610C2semidirect
29. #20252604C2semidirect
30. #20252442C2semidirect
31. C47×#3191C2semidirect
33. C22×#10625350C22semidirect
34. C2×#13094056C22semidirect
35. C2×#13094051C22semidirect
36. C2×#13094046C22semidirect
37. C2×#13094046C22semidirect
38. C2×#13094044C22semidirect
39. C2×#13094044C22semidirect
40. C2×SD16×D47C22semidirect
41. C2×D8×D47C22semidirect
45. #15689844C22semidirect
46. #15689841C22semidirect
47. #15689837C22semidirect
48. #15689836C22semidirect
50. #15689783C22semidirect
51. #15689780C22semidirect
56. #15689775C22semidirect
57. #15689775C22semidirect
60. #15689770C22semidirect
61. #15689770C22semidirect
62. #15689770C22semidirect
65. #15689761C22semidirect
66. #15689746C22semidirect
68. #15689740C22semidirect
74. #15689694C22semidirect
79. #15689634C22semidirect
82. #15689597C22semidirect
83. #15689516C22semidirect
84. #15689514C22semidirect
85. #15689506C22semidirect
86. #15689504C22semidirect
87. #15689481C22semidirect
88. #15689481C22semidirect
89. #15689472C22semidirect
90. #15689472C22semidirect
91. #15689467C22semidirect
92. #15689467C22semidirect
93. #15689466C22semidirect
94. #15689466C22semidirect
95. #15689464C22semidirect
96. #15689461C22semidirect
97. #15689447C22semidirect
98. #15689444C22semidirect
99. #15689412C22semidirect
100. #15689412C22semidirect
101. #15689402C22semidirect
102. #15689402C22semidirect
103. #15689382C22semidirect
104. #15689380C22semidirect
105. #15689370C22semidirect
106. #15689368C22semidirect
107. #15689365C22semidirect
108. #15689363C22semidirect
109. #15689362C22semidirect
110. #15689357C22semidirect
111. #15689354C22semidirect
112. #15689353C22semidirect
113. #15689351C22semidirect
114. #15689350C22semidirect
115. #15689344C22semidirect
116. #15689343C22semidirect
117. #15689341C22semidirect
118. #15689341C22semidirect
119. #15689337C22semidirect
120. #15689337C22semidirect
121. #15689337C22semidirect
122. #15689336C22semidirect
123. #15689332C22semidirect
124. #15689331C22semidirect
125. #15689327C22semidirect
126. #15689326C22semidirect
127. #15689288C22semidirect
128. #15689287C22semidirect
129. #15689287C22semidirect
130. #15689285C22semidirect
131. #15689284C22semidirect
132. #15689283C22semidirect
133. #15689283C22semidirect
134. #15689283C22semidirect
135. #15689281C22semidirect
136. #15689280C22semidirect
137. #15689280C22semidirect
138. #15689278C22semidirect
139. #15689276C22semidirect
140. #15689275C22semidirect
141. #15689275C22semidirect
142. #15689275C22semidirect
143. #15689273C22semidirect
144. #15689272C22semidirect
145. #15689271C22semidirect
146. #15689270C22semidirect
147. #15689270C22semidirect
149. #15689267C22semidirect
150. #15689266C22semidirect
151. #15689266C22semidirect
152. #15689266C22semidirect
153. #15689264C22semidirect
154. #15689261C22semidirect
156. #15689258C22semidirect
158. #15689255C22semidirect
159. #15689234C22semidirect
160. #15689232C22semidirect
161. #15689226C22semidirect
162. #15689222C22semidirect
163. #15689210C22semidirect
164. #15689208C22semidirect
165. #15689205C22semidirect
166. #15689203C22semidirect
167. #15689194C22semidirect
168. #15689194C22semidirect
169. #15689191C22semidirect
170. #15689191C22semidirect
171. C8×C22⋊D47C22semidirect
172. C8×C22⋊D47C22semidirect
173. (C22⋊D47)⋊C8C22semidirect
174. (C22⋊D47)⋊C8C22semidirect
175. #15689181C22semidirect
176. #15689181C22semidirect
177. #15689126C22semidirect
178. #15689126C22semidirect
179. #15689120C22semidirect
180. #15689120C22semidirect
181. #15689118C22semidirect
182. #15689118C22semidirect
183. #15689117C22semidirect
184. #15689117C22semidirect
187. C2×C22⋊(C47⋊C8)C22semidirect
188. C47×#525C22semidirect
189. C47×#525C22semidirect
190. C47×#485C22semidirect
191. C47×#485C22semidirect
192. C47×#482C22semidirect
193. C47×#482C22semidirect
194. C47×#467C22semidirect
195. C47×#466C22semidirect
196. C47×#465C22semidirect
197. C47×#465C22semidirect
198. C47×#452C22semidirect
199. C47×#452C22semidirect
201. C47×#449C22semidirect
202. C2×C22⋊C8×C47C22semidirect
954. #3191D47semidirect
1023. #525C2×D47semidirect
1024. #525C2×D47semidirect
1042. #485C2×D47semidirect
1043. #485C2×D47semidirect
1046. #482C2×D47semidirect
1047. #482C2×D47semidirect
1059. #467C2×D47semidirect
1061. #466C2×D47semidirect
1066. #465C2×D47semidirect
1067. #465C2×D47semidirect
1088. #452C2×D47semidirect
1089. #452C2×D47semidirect
1109. #449C2×D47semidirect
1145. C2×C22⋊C8C2×D47semidirect
1146. C47#61636semidirect

Maximal subgroups

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

subgroupindex
#202576562
#202570302
#202555502
#202555422
#202554302
#202554222
#202553142
#202553112
#202553032
#202553002
#202551022
#202550982
#202550762
#202550712
#202549402
#202549362
#202549172
#202549102
#202545012
#202544932
#202542822
#202542622
#202541762
#202535752
#202535672
#202526622
#202526532
#202526102
#202526042
#202524422
C47×#31912
#6163647