Finite Group Databasebeta

← #27111768

Subgroups — #27111768

Order 12032.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257906C211yesmaximal, characteristic, complemented
2#20257401C211yesmaximal, characteristic, complemented
3#20256460C211yesmaximal, characteristic, complemented
4#20256449C211yesmaximal, characteristic, complemented
5#20256207C211yesmaximal, characteristic, complemented
6#20256199C211yesmaximal, characteristic, complemented
7#20255618C211yesmaximal, characteristic, complemented
8#20255612C211yesmaximal, characteristic, complemented
9#20255548C211yesmaximal, characteristic, complemented
10#20255537C211yesmaximal, characteristic, complemented
11#20255458C211yesmaximal, characteristic, complemented
12#20255453C211yesmaximal, characteristic, complemented
13#20255043C211yesmaximal, characteristic, complemented
14#20255038C211yesmaximal, characteristic, complemented
15#20254902C211yesmaximal, characteristic, complemented
16#20254896C211yesmaximal, characteristic, complemented
17#20254887C211yesmaximal, characteristic, complemented
18#20254882C211yesmaximal, characteristic, complemented
19#20254846C211yesmaximal, characteristic, complemented
20#20254844C211yesmaximal, characteristic, complemented
21#20254773C211yesmaximal, characteristic, complemented
22#20254479C211yesmaximal, characteristic, complemented
23#20254389C211yesmaximal, characteristic, complemented
24#20253619C211yesmaximal, characteristic, complemented
25#20253614C211yesmaximal, characteristic, complemented
26#20253536C211yesmaximal, characteristic, complemented
27#20252905C211yesmaximal, characteristic, complemented
28#20252904C211yesmaximal, characteristic, complemented
29#20252877C211yesmaximal, characteristic, complemented
30#20252553C211yesmaximal, characteristic, complemented
31C47×#3224C211yesmaximal, characteristic, complemented
32C2×#13094054C2211yescharacteristic, complemented
33C2×#13094053C2211yescharacteristic, complemented
34C2×#13094053C2211yescharacteristic, complemented
35C2×#13094048C2211yescharacteristic
36C22×#10625335C2211yescharacteristic, complemented
37C2×SD16×D47C2211yescharacteristic, complemented
38#15689868—21no—
39#15689866—21no—
40#15689859C2211yescharacteristic
41#15689855C2211yescharacteristic
42#15689853C2211yescharacteristic, complemented
43#15689847C2211yescharacteristic, complemented
44#15689844C2211yescharacteristic, complemented
45#15689842—21no—
46#15689842C2211yescharacteristic, complemented
47#15689840—21no—
48#15689840—21no—
49#15689837C2211yescharacteristic, complemented
50#15689835—21no—
51#15689786C2211yescharacteristic, complemented
52#15689781C2211yescharacteristic
53#15689781C2211yescharacteristic, complemented
54#15689780C2211yescharacteristic
55#15689779C2211yescharacteristic, complemented
56#15689767C2211yescharacteristic
57#15689762—21no—
58#15689761C2211yescharacteristic
59#15689760—21no—
60#15689758C2211yescharacteristic
61D4×C22⋊D47C2211yescharacteristic
62#15689744C2211yescharacteristic
63#15689743—21no—
64#15689742C2211yescharacteristic
65#15689741—21no—
66#15689738C2211yescharacteristic, complemented
67#15689710—21no—
68#15689708—21no—
69#15689705—21no—
70#15689686C2211yescharacteristic
71#15689683—21no—
72#15689677C2211yescharacteristic, complemented
73#15689675—21no—
74#15689671C2211yescharacteristic
75#15689651C2211yescharacteristic
76#15689650—21no—
77#124×D47C2211yescharacteristic
78#15689600C2211yescharacteristic, complemented
79#15689599C2211yescharacteristic, complemented
80C4×#10625352C2211yescharacteristic, complemented
81#15689516C2211yescharacteristic, complemented
82#15689514C2211yescharacteristic, complemented
83#15689511C2211yescharacteristic
84#15689506C2211yescharacteristic, complemented
85#15689484C2211yescharacteristic, complemented
86#15689481C2211yescharacteristic, complemented
87#15689481C2211yescharacteristic, complemented
88#15689468C2211yescharacteristic
89#15689465C2211yescharacteristic, complemented
90#15689462C2211yescharacteristic, complemented
91#15689448C2211yescharacteristic
92#15689446C2211yescharacteristic
93#15689446C2211yescharacteristic, complemented
94#15689446C2211yescharacteristic, complemented
95#15689419C2211yescharacteristic, complemented
96#15689418C2211yescharacteristic, complemented
97#15689416C2211yescharacteristic, complemented
98#15689415C2211yescharacteristic, complemented
99#15689409C2211yescharacteristic, complemented
100#15689403C2211yescharacteristic, complemented
101#15689401C2211yescharacteristic, complemented
102#15689401C2211yescharacteristic, complemented
103#15689401C2211yescharacteristic, complemented
104#15689400C2211yescharacteristic, complemented
105#15689371C2211yescharacteristic
106#15689368C2211yescharacteristic
107#15689368C2211yescharacteristic, complemented
108#15689368C2211yescharacteristic, complemented
109#15689367C2211yescharacteristic, complemented
110#15689366C2211yescharacteristic, complemented
111#15689366C2211yescharacteristic, complemented
112#15689366C2211yescharacteristic, complemented
113#15689363C2211yescharacteristic, complemented
114#15689362C2211yescharacteristic, complemented
115#15689357C2211yescharacteristic
116#15689356C2211yescharacteristic
117#15689348C2211yescharacteristic, complemented
118#15689346C2211yescharacteristic, complemented
119#15689346C2211yescharacteristic, complemented
120#15689345C2211yescharacteristic, complemented
121#15689344C2211yescharacteristic, complemented
122#15689344C2211yescharacteristic, complemented
123#15689343C2211yescharacteristic, complemented
124#15689343C2211yescharacteristic, complemented
125#15689342C2211yescharacteristic, complemented
126#15689342C2211yescharacteristic, complemented
127#15689342C2211yescharacteristic, complemented
128#15689342C2211yescharacteristic, complemented
129#15689342C2211yescharacteristic, complemented
130#15689340C2211yescharacteristic, complemented
131#15689338C2211yescharacteristic, complemented
132#15689336C2211yescharacteristic, complemented
133#15689336C2211yescharacteristic, complemented
134#15689335C2211yescharacteristic, complemented
135#15689326C2211yescharacteristic, complemented
136#15689326C2211yescharacteristic, complemented
137#15689322C2211yescharacteristic
138#15689321C2211yescharacteristic
139#15689320C2211yescharacteristic
140#15689320C2211yescharacteristic
141#15689320C2211yescharacteristic, complemented
142#15689320C2211yescharacteristic, complemented
143#15689286C2211yescharacteristic, complemented
144#15689281C2211yescharacteristic, complemented
145#15689280C2211yescharacteristic, complemented
146#15689277C2211yescharacteristic, complemented
147#15689277C2211yescharacteristic, complemented
148#15689275C2211yescharacteristic
149#15689275C2211yescharacteristic, complemented
150#15689272C2211yescharacteristic
151#15689265C2211yescharacteristic, complemented
152#15689265C2211yescharacteristic, complemented
153#15689265C2211yescharacteristic, complemented
154#15689264C2211yescharacteristic
155#15689260C2211yescharacteristic
156#15689255C2211yescharacteristic, complemented
157#15689253C2211yescharacteristic, complemented
158#15689251C2211yescharacteristic, complemented
159#15689235C2211yescharacteristic, complemented
160#15689235C2211yescharacteristic, complemented
161#15689231C2211yescharacteristic, complemented
162#15689230C2211yescharacteristic, complemented
163#15689225C2211yescharacteristic, complemented
164#15689220C2211yescharacteristic, complemented
165#15689220C2211yescharacteristic, complemented
166#15689220C2211yescharacteristic, complemented
167C4×Dic188C2211yescharacteristic, complemented
168#15689215C2211yescharacteristic, complemented
169C4×#10625325C2211yescharacteristic, complemented
170SD16×Dic47C2211yescharacteristic, complemented
171#15689202C2211yescharacteristic, complemented
172#15689198C2211yescharacteristic, complemented
173#15689197C2211yescharacteristic, complemented
174#15689196C2211yescharacteristic, complemented
175#15689191C2211yescharacteristic, complemented
176#15689191C2211yescharacteristic, complemented
177#15689183C2211yescharacteristic, complemented
178#15689179C2211yescharacteristic, complemented
179#15689150C2211yescharacteristic, complemented
180#15689148C2211yescharacteristic, complemented
181#15689145C2211yescharacteristic, complemented
182#15689130C2211yescharacteristic, complemented
183#15689128C2211yescharacteristic, complemented
184#15689126C2211yescharacteristic
185#15689126C2211yescharacteristic, complemented
186#15689119C2211yescharacteristic, complemented
187#15689116C2211yescharacteristic, complemented
188C47×#542C2211yescharacteristic, complemented
189C47×#535C2211yescharacteristic
190C47×#496C2211yescharacteristic
191C47×#495C2211yescharacteristic, complemented
192C47×#489C2211yescharacteristic, complemented
193C47×#486C2211yescharacteristic
194C47×#464C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#460C2211yescharacteristic, complemented
197C47×#459C2211yescharacteristic, complemented
198C47×#452C2211yescharacteristic, complemented
199C47×#450C2211yescharacteristic, complemented
200C47×#449C2211yescharacteristic, complemented
201C47×#447C2211yescharacteristic, complemented
202C47×#433C2211yescharacteristic, complemented
203C2×#10625352—21no—
204C2×#10625352C2311yescharacteristic
205C2×#10625352C2311yescharacteristic
206C22×Dic94C2311yescharacteristic
207C2×Q8×D47C2311yescharacteristic
208C2×Q8×D47C2311yescharacteristic
209C22×C22⋊D47—21no—
210C2×D4×D47—21no—
211C2×D4×D47C2311yescharacteristic
212C2×D4×D47C2311yescharacteristic
213#13094054—42no—
214#13094053—42no—
215#13094053—42no—
216#13094048—42no—
217C2×Dic188C2311yescharacteristic
218C2×Dic188C2311yescharacteristic
219C2×#10625337C2311yescharacteristic
220C2×#10625337C2311yescharacteristic
221C2×#10625337C2311yescharacteristic
222C2×#10625325C2311yescharacteristic
223C2×#10625325C2311yescharacteristic
224C2×#10625335—42no—
225C2×#10625335C2311yescharacteristic
226C2×#10625335C2311yescharacteristic
227C2×#10625335C2311yescharacteristic
228C2×#10625335C2311yescharacteristic
229C2×#10625335C2311yescharacteristic
230C2×#10625335C2311yescharacteristic
231C2×#10625335C2311yescharacteristic
232C2×#10625336C2311yescharacteristic
233SD16×D47—42no—
234C2×#10625334C2311yescharacteristic
235C2×#10625329C2311yescharacteristic
236C2×#10625324C2311yescharacteristic
237C2×#10625324C2311yescharacteristic
238C2×#10625324C2311yescharacteristic
239C22×C47⋊C8C2311yescharacteristic
240C2×C8×D47C2311yescharacteristic
241#13094024C2311yescharacteristic
242#13094023—21no—
243#13094023—21no—
244#13094023C2311yescharacteristic
245#13094023C2311yescharacteristic
246#13094022—21no—
247#13094022—21no—
248#13094022C2311yescharacteristic
249#13094020C2311yescharacteristic
250#13094019—21no—
251#13094019—21no—
252#13094019—21no—
253#13094019—21no—
254#13094019D411yescharacteristic
255#13094017—21no—
256#13094017—21no—
257#13094017—21no—
258#13094017—21no—
259#13094017—21no—
260#13094017D411yescharacteristic
261#13094014—21no—
262#13094014D411yescharacteristic
263#13094013—21no—
264#13094013C2311yescharacteristic
265#13094012C2311yescharacteristic
266#13094011—21no—
267#13094011—21no—
268#13094011—21no—
269#13094011—21no—
270#13094011C2311yescharacteristic
271#13094011C2311yescharacteristic
272#13094011C2311yescharacteristic
273#13094010—21no—
274#13094010—21no—
275#13094010—21no—
276#13094010—21no—
277#13094010—21no—
278#13094010—21no—
279#13094010—21no—
280#13094010—21no—
281#13094010—21no—
282#13094010—21no—
283#13094010—21no—
284#13094010D411yescharacteristic
285#13094009D411yescharacteristic
286#13094008—21no—
287#13094008—21no—
288#13094007—21no—
289#13094007—21no—
290#13094006—21no—
291#13094006—21no—
292#13094006D411yescharacteristic
293#13094005—21no—
294#13094005—21no—
295#13094005—21no—
296#13094004C2311yescharacteristic
297#13094004C2311yescharacteristic
298#13094003—21no—
299#13094003—21no—
300#13094003C2311yescharacteristic
301#13094002—21no—
302#13094002—21no—
303#13094002—21no—
304#13094002D411yescharacteristic
305#13094001—21no—
306#13094001—21no—
307#13094001—21no—
308#13094001—21no—
309#13094001—21no—
310#13094001—21no—
311#13094000C2311yescharacteristic
312#13094000C2311yescharacteristic
313#13093998C2311yescharacteristic
314#13093997—21no—
315#13093997—21no—
316#13093997D411yescharacteristic
317#13093996—21no—
318#13093996—21no—
319#13093996—21no—
320#13093996—21no—
321#13093996—21no—
322#13093996—21no—
323#13093996—21no—
324#13093995—21no—
325#13093995—21no—
326#13093995—21no—
327#13093995C2311yescharacteristic
328#13093995C2311yescharacteristic
329#13093995C2311yescharacteristic
330#13093995C2311yescharacteristic
331#13093993—21no—
332#13093993—21no—
333#13093992—21no—
334#13093992—21no—
335#13093992—21no—
336#13093992—21no—
337#13093992—21no—
338#13093992—21no—
339Q8×Dic47—21no—
340Q8×Dic47C2311yescharacteristic
341Q8×Dic47C2311yescharacteristic
342C4×Dic94—21no—
343C4×Dic94—21no—
344C4×Dic94C2311yescharacteristic
345C4×Dic94C2311yescharacteristic
346C4×Dic94C2311yescharacteristic
347C4×Dic94C2311yescharacteristic
348C4×Dic94C2311yescharacteristic
349C4×Dic94C2311yescharacteristic
350#13093989—21no—
351#13093989—21no—
352#13093989—21no—
353#13093989—21no—
354#13093989—21no—
355#13093989C2311yescharacteristic
356#13093989C2311yescharacteristic
357C4×D188C2311yescharacteristic
358C4×D188C2311yescharacteristic
359D4×Dic47—21no—
360D4×Dic47—21no—
361D4×Dic47—21no—
362D4×Dic47C2311yescharacteristic
363D4×Dic47C2311yescharacteristic
364D4×Dic47C2311yescharacteristic
365D4×Dic47C2311yescharacteristic
366C4×C22⋊D47—21no—
367C4×C22⋊D47—21no—
368C4×C22⋊D47C2311yescharacteristic
369C4×C22⋊D47C2311yescharacteristic
370(C22⋊D47)⋊C4—21no—
371(C22⋊D47)⋊C4—21no—
372(C22⋊D47)⋊C4—21no—
373(C22⋊D47)⋊C4—21no—
374(C22⋊D47)⋊C4—21no—
375#13093983C2311yescharacteristic
376#13093982—21no—
377#13093982C2311yescharacteristic
378#13093982C2311yescharacteristic
379#13093981—21no—
380#13093981—21no—
381#13093981C2311yescharacteristic
382#13093980—21no—
383#13093980—21no—
384#13093980—21no—
385#13093980—21no—
386#13093980—21no—
387C2×C22⋊Dic47—21no—
388C2×(C2×D47)⋊C4—21no—
389C22⋊C4×D47—21no—
390C22⋊C4×D47—21no—
391C2×C4×Dic47—21no—
392C42×D47C2311yescharacteristic
393#13093958C2311yescharacteristic
394#13093958C2311yescharacteristic
395#13093957C2311yescharacteristic
396#13093957C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093956C2311yescharacteristic
400#13093956C2311yescharacteristic
401C4⋊(C47⋊C8)C2311yescharacteristic
402C4⋊(C47⋊C8)C2311yescharacteristic
403C4⋊(C47⋊C8)C2311yescharacteristic
404C4⋊(C47⋊C8)C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407Dic47⋊C8C2311yescharacteristic
408Dic47⋊C8C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093949C2311yescharacteristic
414#13093949C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093948C2311yescharacteristic
417#13093948C2311yescharacteristic
418#13093948C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093945C2311yescharacteristic
430#13093945C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433(C2×D47)⋊C8C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437#13093934C2311yescharacteristic
438#13093934C2311yescharacteristic
439#13093934C2311yescharacteristic
440C8×Dic47C2311yescharacteristic
441C2×#41×C47C2311yescharacteristic
442C22×D4×C47C2311yescharacteristic
443C2×Q16×C47C2311yescharacteristic
444C2×SD16×C47C2311yescharacteristic
445C2×SD16×C47C2311yescharacteristic
446C2×SD16×C47C2311yescharacteristic
447C2×SD16×C47C2311yescharacteristic
448C2×D8×C47C2311yescharacteristic
449C2×D8×C47C2311yescharacteristic
450C2×D8×C47C2311yescharacteristic
451C4⋊Q8×C47C2311yescharacteristic
452#127×C47C2311yescharacteristic
453#127×C47C2311yescharacteristic
454#126×C47—21no—
455#124×C47—21no—
456#124×C47C2311yescharacteristic
457#124×C47C2311yescharacteristic
458#124×C47C2311yescharacteristic
459#123×C47—21no—
460C22⋊Q8×C47—21no—
461C22⋊Q8×C47C2311yescharacteristic
462#121×C47—21no—
463#121×C47—21no—
464#121×C47C2311yescharacteristic
465#120×C47—21no—
466#120×C47—21no—
467C4×Q8×C47C2311yescharacteristic
468C4×D4×C47C2311yescharacteristic
469#117×C47C2311yescharacteristic
470C4⋊C8×C47C2311yescharacteristic
471C4⋊C8×C47C2311yescharacteristic
472#103×C47C2311yescharacteristic
473#103×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#102×C47C2311yescharacteristic
476#102×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480C22⋊C8×C47C2311yescharacteristic
481C22⋊C8×C47C2311yescharacteristic
482#97×C47C2311yescharacteristic
483C4×C8×C47C2311yescharacteristic
484C24×C47—21no—
485C23×D47—21no—
486C23×D47—21no—
487#41×C47—41no—
488#41×C47—41no—
489C2×Q8×C47—21no—
490C2×Q8×C47C2411yescharacteristic
491C2×Q8×C47C2411yescharacteristic
492C2×D4×C47—21no—
493C2×D4×C47—21no—
494C2×D4×C47—21no—
495C2×D4×C47—21no—
496C2×D4×C47—21no—
497C2×D4×C47—21no—
498C2×D4×C47—21no—
499C2×D4×C47—41no—
500C2×D4×C47—41no—
501C2×D4×C47C2411yescharacteristic
502C2×D4×C47C2411yescharacteristic
503C2×D4×C47C2411yescharacteristic
504C2×D4×C47C2411yescharacteristic
505C22×C4×C47—21no—
506C22×C4×C47—21no—
507C22×C4×C47C2411yescharacteristic
508C2×C22⋊D47—21no—
509C2×C22⋊D47—21no—
510C2×C22⋊D47—21no—
511C2×C22⋊D47—21no—
512C2×C22⋊D47—21no—
513C2×C22⋊D47—21no—
514C2×C22⋊D47—21no—
515C2×C22⋊D47—21no—
516C2×C22⋊D47—21no—
517C2×C22⋊D47—21no—
518C2×C22⋊D47—21no—
519C2×C22⋊D47—82no—
520C2×C22⋊D47C2×D411yescharacteristic
521C2×C22⋊D47C2×D411yescharacteristic
522C22×Dic47—21no—
523C22×Dic47—21no—
524C22×Dic47—21no—
525C22×Dic47—21no—
526C22×Dic47—21no—
527C22×Dic47—21no—
528C22×Dic47—21no—
529Q8×D47—22no—
530Q8×D47—41no—
531Q8×D47—41no—
532Q8×D47—41no—
533#10625352—22no—
534#10625352—41no—
535#10625352—41no—
536#10625352—41no—
537#10625352—82no—
538D4×D47—41no—
539D4×D47—41no—
540D4×D47—41no—
541D4×D47—41no—
542D4×D47—82no—
543C2×D188C2×D411yescharacteristic
544C2×D188C2411yescharacteristic
545C2×C4×D47—21no—
546C2×C4×D47—21no—
547C2×C4×D47—21no—
548C2×C4×D47C2×D411yescharacteristic
549C2×C4×D47C2×D411yescharacteristic
550C2×C4×D47C2411yescharacteristic
551C2×C4×D47C2411yescharacteristic
552C2×Dic94—22no—
553C2×Dic94—21no—
554C2×Dic94—21no—
555C2×Dic94—21no—
556C2×Dic94—21no—
557C2×Dic94—21no—
558C2×Dic94—21no—
559C2×Dic94—41no—
560C2×Dic94C2×D411yescharacteristic
561C2×Dic94C2411yescharacteristic
562C2×Dic94C2411yescharacteristic
563C2×Dic94C2411yescharacteristic
564Q16×C47—41no—
565SD16×C47—41no—
566SD16×C47—41no—
567SD16×C47—41no—
568SD16×C47—41no—
569D8×C47—41no—
570D8×C47—41no—
571D8×C47—41no—
572C2×C8×C47C2411yescharacteristic
573C2×C8×C47C2411yescharacteristic
574C2×C8×C47C2411yescharacteristic
575C2×C8×C47C2411yescharacteristic
576C4⋊C4×C47—21no—
577C4⋊C4×C47—21no—
578C4⋊C4×C47—21no—
579C4⋊C4×C47C2×D411yescharacteristic
580C4⋊C4×C47C2×D411yescharacteristic
581C4⋊C4×C47C2411yescharacteristic
582C4⋊C4×C47C2411yescharacteristic
583C22⋊C4×C47—21no—
584C22⋊C4×C47—21no—
585C22⋊C4×C47—21no—
586C22⋊C4×C47—21no—
587C22⋊C4×C47—21no—
588C22⋊C4×C47—21no—
589C22⋊C4×C47—21no—
590C22⋊C4×C47—21no—
591C22⋊C4×C47—21no—
592C22⋊C4×C47C2×D411yescharacteristic
593C22⋊C4×C47C2×D411yescharacteristic
594C42×C47—21no—
595C42×C47C2411yescharacteristic
596C42×C47C2411yescharacteristic
597C22⋊Dic47—21no—
598C22⋊Dic47—21no—
599C22⋊Dic47—21no—
600C22⋊Dic47—21no—
601C22⋊Dic47—21no—
602C22⋊Dic47—21no—
603C22⋊Dic47—21no—
604C22⋊Dic47—21no—
605C22⋊Dic47—21no—
606C22⋊Dic47—21no—
607C22⋊Dic47—21no—
608C22⋊Dic47—21no—
609C22⋊Dic47—21no—
610C22⋊Dic47—21no—
611C22⋊Dic47—21no—
612C22⋊Dic47—21no—
613C22⋊Dic47C2×D411yescharacteristic
614C22⋊Dic47C2×D411yescharacteristic
615#10625337—22no—
616#10625337—41no—
617#10625337—41no—
618#10625336—41no—
619#10625335—22no—
620#10625335—22no—
621#10625335—22no—
622#10625335—41no—
623#10625335—41no—
624#10625335—41no—
625#10625335—41no—
626#10625334—41no—
627(C2×D47)⋊C4—21no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4—21no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4—21no—
638(C2×D47)⋊C4—21no—
639(C2×D47)⋊C4C2×D411yescharacteristic
640(C2×D47)⋊C4C2×D411yescharacteristic
641(C2×D47)⋊C4C2×D411yescharacteristic
642(C2×D47)⋊C4C2×D411yescharacteristic
643(C2×D47)⋊C4C2×D411yescharacteristic
644(C2×D47)⋊C4C2×D411yescharacteristic
645C4⋊Dic47—21no—
646C4⋊Dic47—21no—
647C4⋊Dic47—21no—
648C4⋊Dic47—21no—
649C4⋊Dic47—21no—
650C4⋊Dic47C2×D411yescharacteristic
651C4⋊Dic47C2×D411yescharacteristic
652C4⋊Dic47C2411yescharacteristic
653C4⋊Dic47C2411yescharacteristic
654C4⋊Dic47C2411yescharacteristic
655C4⋊Dic47C2411yescharacteristic
656Dic47⋊C4—21no—
657Dic47⋊C4—21no—
658Dic47⋊C4—21no—
659Dic47⋊C4—21no—
660Dic47⋊C4—21no—
661Dic47⋊C4—21no—
662Dic47⋊C4—21no—
663Dic47⋊C4—21no—
664Dic47⋊C4—21no—
665Dic47⋊C4—21no—
666Dic47⋊C4—21no—
667Dic47⋊C4—21no—
668Dic47⋊C4—21no—
669Dic47⋊C4—21no—
670Dic47⋊C4C2×D411yescharacteristic
671Dic47⋊C4C2×D411yescharacteristic
672Dic47⋊C4C2×D411yescharacteristic
673Dic47⋊C4C2×D411yescharacteristic
674Dic47⋊C4C2×D411yescharacteristic
675Dic47⋊C4C2×D411yescharacteristic
676C4×Dic47—21no—
677C4×Dic47—21no—
678C4×Dic47—21no—
679C4×Dic47—21no—
680C4×Dic47—21no—
681C4×Dic47—21no—
682C4×Dic47—21no—
683C4×Dic47—21no—
684C4×Dic47—21no—
685C4×Dic47—21no—
686C4×Dic47—21no—
687C4×Dic47—21no—
688C4×Dic47C2×D411yescharacteristic
689C4×Dic47C2×D411yescharacteristic
690C4×Dic47C2411yescharacteristic
691C4×Dic47C2411yescharacteristic
692#10625329—41no—
693C2×C47⋊C8—41no—
694C2×C47⋊C8C2411yescharacteristic
695C2×C47⋊C8C2411yescharacteristic
696C2×C47⋊C8C2411yescharacteristic
697C2×C47⋊C8C2411yescharacteristic
698Dic188—22no—
699Dic188—41no—
700#10625325—22no—
701#10625325—41no—
702#10625324—41no—
703#10625324—41no—
704#10625324—41no—
705C8×D47—41no—
706C23×C47—21no—
707C23×C47—21no—
708C23×C47—21no—
709C23×C47—21no—
710C23×C47—81no—
711C23×C47—81no—
712C23×C47—81no—
713C23×C47C22×D411yescharacteristic
714C22×D47—21no—
715C22×D47—42no—
716C22×D47—81no—
717C22×D47—81no—
718C22×D47—81no—
719C22×D47—81no—
720C22×D47—81no—
721C22×D47C22×D411yescharacteristic
722C22×D47C22×D411yescharacteristic
723Q8×C47—21no—
724Q8×C47—21no—
725Q8×C47—21no—
726Q8×C47—21no—
727Q8×C47—81no—
728D4×C47—21no—
729D4×C47—21no—
730D4×C47—21no—
731D4×C47—21no—
732D4×C47—21no—
733D4×C47—21no—
734D4×C47—21no—
735D4×C47—21no—
736D4×C47—81no—
737D4×C47—81no—
738D4×C47—81no—
739D4×C47—81no—
740D4×C47—81no—
741D4×C47—81no—
742D4×C47—81no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—21no—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—21no—
749C2×C4×C47—81no—
750C2×C4×C47—81no—
751C2×C4×C47C22×D411yescharacteristic
752C2×C4×C47C22×D411yescharacteristic
753C2×C4×C47C22×D411yescharacteristic
754C2×C4×C47C22×D411yescharacteristic
755C2×C4×C47C22×D411yescharacteristic
756C2×C4×C47C2511yescharacteristic
757C22⋊D47—41no—
758C22⋊D47—41no—
759C22⋊D47—42no—
760C22⋊D47—42no—
761C22⋊D47—42no—
762C22⋊D47—81no—
763C22⋊D47—81no—
764C22⋊D47—81no—
765C22⋊D47—81no—
766C22⋊D47—81no—
767C22⋊D47—81no—
768C22⋊D47—81no—
769C22⋊D47—81no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—21no—
777C2×Dic47—42no—
778C2×Dic47—42no—
779C2×Dic47—42no—
780C2×Dic47—81no—
781C2×Dic47—81no—
782C2×Dic47—81no—
783C2×Dic47—81no—
784C2×Dic47C22×D411yescharacteristic
785C2×Dic47C22×D411yescharacteristic
786C2×Dic47C22×D411yescharacteristic
787C2×Dic47C22×D411yescharacteristic
788C2×Dic47C22×D411yescharacteristic
789C2×Dic47C22×D411yescharacteristic
790D188—21no—
791D188—21no—
792D188—41no—
793C4×D47—21no—
794C4×D47—21no—
795C4×D47—21no—
796C4×D47—21no—
797C4×D47—41no—
798C4×D47—41no—
799C4×D47—42no—
800C4×D47—81no—
801C4×D47—81no—
802Dic94—21no—
803Dic94—21no—
804Dic94—21no—
805Dic94—21no—
806Dic94—21no—
807Dic94—41no—
808Dic94—42no—
809Dic94—42no—
810Dic94—81no—
811Dic94—81no—
812Dic94—81no—
813Dic94—81no—
814Dic94H(5,𝔽2)12yes—
815C8×C47—21no—
816C8×C47—21no—
817C8×C47—21no—
818C8×C47—21no—
819C47⋊C8—21no—
820C47⋊C8—21no—
821C47⋊C8—21no—
822C47⋊C8—21no—
823#62092—471nomaximal, Sylow
824C22×C47—21no—
825C22×C47—21no—
826C22×C47—21no—
827C22×C47—41no—
828C22×C47—41no—
829C22×C47—41no—
830C22×C47—41no—
831C22×C47—41no—
832C22×C47—41no—
833C22×C47—41no—
834C22×C47—41no—
835C22×C47—41no—
836C22×C47—41no—
837C22×C47—41no—
838C22×C47—41no—
839C22×C47—162no—
840C22×C47C23×D411yescharacteristic
841C2×D47—21no—
842C2×D47—21no—
843C2×D47—21no—
844C2×D47—21no—
845C2×D47—21no—
846C2×D47—21no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—41no—
850C2×D47—162no—
851C2×D47—162no—
852C4×C47—21no—
853C4×C47—21no—
854C4×C47—21no—
855C4×C47—21no—
856C4×C47—21no—
857C4×C47—41no—
858C4×C47—41no—
859C4×C47—41no—
860C4×C47—41no—
861C4×C47C2×H(5,𝔽2)11yescharacteristic
862C4×C47#58511yescharacteristic
863Dic47—21no—
864Dic47—21no—
865Dic47—21no—
866Dic47—21no—
867Dic47—22no—
868Dic47—21no—
869Dic47—21no—
870Dic47—41no—
871Dic47—41no—
872Dic47—41no—
873Dic47—41no—
874Dic47—41no—
875Dic47—41no—
876#3558—471no—
877#3518—471no—
878#3401—471no—
879#3401—471no—
880#3375—471no—
881#3375—471no—
882#3324—471no—
883#3324—471no—
884#3319—471no—
885#3319—471no—
886#3313—471no—
887#3313—471no—
888#3277—471no—
889#3277—471no—
890#3266—471no—
891#3266—471no—
892#3265—471no—
893#3265—471no—
894#3262—471no—
895#3262—471no—
896#3254—471no—
897#3224—471no—
898#3224D4711yescharacteristic, complemented
899#3215—471no—
900#3121—471no—
901#3121—471no—
902#3115—471no—
903#3043—471no—
904#3043—471no—
905#3040—471no—
906#2995—471no—
907C2×C47—41no—
908C2×C47—81no—
909C2×C47—81no—
910C2×C47—81no—
911C2×C47—81no—
912C2×C47#348811yescharacteristic
913C2×C47#358511yescharacteristic
914C2×C47#358611yescharacteristic
915D47—41no—
916D47—41no—
917D47—81no—
918C2×#137—471no—
919C2×#137—471no—
920C2×#137—471no—
921C2×AGL(1,ℤ/8)—471no—
922C22×SD16—471no—
923C22×SD16—471no—
924#562—941no—
925H(3,𝔽4)—941no—
926#559—471no—
927#559—471no—
928Q82—471no—
929#556—471no—
930#556—471no—
931#556—471no—
932#556—941no—
933#556—941no—
934#556—941no—
935#555—471no—
936#555—941no—
937D4×Q8—471no—
938#548—471no—
939#548—471no—
940#548—471no—
941#548—471no—
942#546—471no—
943#546—471no—
944#546—941no—
945#546—941no—
946D42—471no—
947D42—471no—
948#542—471no—
949#542—471no—
950#542—471no—
951#542—941no—
952#542—941no—
953#542C2×D4711yescharacteristic, complemented
954#538—941no—
955#538—941no—
956#538—941no—
957#535—471no—
958#535C2×D4711yescharacteristic
959#534—941no—
960#533—471no—
961#533—941no—
962#532—471no—
963#529—471no—
964#529—941no—
965C2×#124—471no—
966#519—471no—
967#519—471no—
968C4×#41—471no—
969#497—471no—
970#497—471no—
971#496—471no—
972#496C2×D4711yescharacteristic
973#495—471no—
974#495C2×D4711yescharacteristic, complemented
975#489—471no—
976#489—471no—
977#489—471no—
978#489C2×D4711yescharacteristic, complemented
979#486—471no—
980#486C2×D4711yescharacteristic
981#485—471no—
982#485—471no—
983#482—471no—
984#482—471no—
985#482—471no—
986#482—471no—
987#477—471no—
988#477—471no—
989#477—471no—
990#477—471no—
991#475—471no—
992#474—471no—
993#474—471no—
994#474—471no—
995#474—471no—
996#474—471no—
997#468—471no—
998#468—471no—
999#468—471no—
1000#468—471no—
1001#468—471no—
1002#468—471no—
1003#468—471no—
1004#468—471no—
1005#467—471no—
1006#467—471no—
1007#466—471no—
1008#466—471no—
1009#464—471no—
1010#464—471no—
1011#464—471no—
1012#464—471no—
1013#464—471no—
1014#464—471no—
1015#464—471no—
1016#464—471no—
1017#464—471no—
1018#464—471no—
1019#464—471no—
1020#464—471no—
1021#464—471no—
1022#464C2×D4711yescharacteristic, complemented
1023#463—471no—
1024#463—471no—
1025#463—471no—
1026#463—471no—
1027#463—471no—
1028#463C2×D4711yescharacteristic, complemented
1029#461—471no—
1030#461—471no—
1031#460—471no—
1032#460—471no—
1033#460—471no—
1034#460—471no—
1035#460—471no—
1036#460—471no—
1037#460C2×D4711yescharacteristic, complemented
1038#459C2×D4711yescharacteristic, complemented
1039#452—471no—
1040#452C2×D4711yescharacteristic, complemented
1041#451—471no—
1042#451—471no—
1043#451—471no—
1044#451—471no—
1045#450—471no—
1046#450—471no—
1047#450—471no—
1048#450C2×D4711yescharacteristic, complemented
1049#449—471no—
1050#449—471no—
1051#449—471no—
1052#449C2×D4711yescharacteristic, complemented
1053#448—471no—
1054#448—471no—
1055#447—471no—
1056#447C2×D4711yescharacteristic, complemented
1057#446—471no—
1058#446—471no—
1059#442—471no—
1060#442—471no—
1061#441—471no—
1062#441—471no—
1063#440—471no—
1064#440—471no—
1065#440—471no—
1066#440—471no—
1067C4×Q16—471no—
1068C4×Q16—471no—
1069C4×SD16—471no—
1070C4×SD16—471no—
1071#436—471no—
1072#436—471no—
1073#435—471no—
1074#435—471no—
1075#435—471no—
1076#435—471no—
1077#433—471no—
1078#433C2×D4711yescharacteristic, complemented
1079#432—471no—
1080#424—471no—
1081#424—471no—
1082#423—471no—
1083#419—471no—
1084#418—471no—
1085#418—471no—
1086#418—471no—
1087#416—471no—
1088#416—471no—
1089C47#6209211yescharacteristic, complemented, Sylow
1090C2×#41—471no—
1091C2×#41—471no—
1092C2×#41—941no—
1093C2×#41C22×D4711yescharacteristic
1094C22×Q8—471no—
1095C22×Q8—471no—
1096C22×Q8—471no—
1097C22×D4—471no—
1098C22×D4—471no—
1099C22×D4—941no—
1100C22×D4—941no—
1101C22×D4C22×D4711yescharacteristic
1102#137—1882no—
1103#137—1882no—
1104#137—1882no—
1105AGL(1,ℤ/8)—1882no—
1106C2×Q16—471no—
1107C2×Q16—471no—
1108C2×Q16—471no—
1109C2×Q16—471no—
1110C2×Q16—471no—
1111C2×Q16C22×D4711yescharacteristic
1112C2×SD16—471no—
1113C2×SD16—471no—
1114C2×SD16—471no—
1115C2×SD16—471no—
1116C2×SD16—471no—
1117C2×SD16—471no—
1118C2×SD16—471no—
1119C2×SD16—471no—
1120C2×SD16—471no—
1121C2×SD16—471no—
1122C2×SD16—1882no—
1123C2×SD16—1882no—
1124C2×SD16C22×D4711yescharacteristic
1125C2×SD16C22×D4711yescharacteristic
1126C2×SD16C22×D4711yescharacteristic
1127C2×SD16C22×D4711yescharacteristic
1128C2×D8—471no—
1129C2×D8C22×D4711yescharacteristic
1130C2×D8C22×D4711yescharacteristic
1131C2×D8C22×D4711yescharacteristic
1132C2×M16—471no—
1133C2×M16—471no—
1134C2×M16—471no—
1135C2×M16—471no—
1136C22×C8—471no—
1137C22×C8—471no—
1138C4⋊Q8—471no—
1139C4⋊Q8—471no—
1140C4⋊Q8—471no—
1141C4⋊Q8—471no—
1142C4⋊Q8—941no—
1143C4⋊Q8—941no—
1144C4⋊Q8—941no—
1145C4⋊Q8—941no—
1146C4⋊Q8C22×D4711yescharacteristic
1147#127—471no—
1148#127C22×D4711yescharacteristic
1149#127C22×D4711yescharacteristic
1150#126—21no—
1151#126—471no—
1152#126—471no—
1153#126—941no—
1154#126—941no—
1155#126—941no—
1156#126—941no—
1157#126—941no—
1158#126—941no—
1159#126—941no—
1160#126—941no—
1161#126—941no—
1162#125—471no—
1163#125—941no—
1164#124—21no—
1165#124—471no—
1166#124—471no—
1167#124—471no—
1168#124—471no—
1169#124—471no—
1170#124—471no—
1171#124—941no—
1172#124—941no—
1173#124—941no—
1174#124—941no—
1175#124—941no—
1176#124—941no—
1177#124—941no—
1178#124—941no—
1179#124—941no—
1180#124—941no—
1181#124—941no—
1182#124—941no—
1183#124—941no—
1184#124—941no—
1185#124—941no—
1186#124—941no—
1187#124C22×D4711yescharacteristic
1188#124C22×D4711yescharacteristic
1189#124C22×D4711yescharacteristic
1190#123—21no—
1191#123—471no—
1192#123—471no—
1193#123—941no—
1194#123—941no—
1195#123—941no—
1196#123—941no—
1197#123—941no—
1198#123—941no—
1199#123—941no—
1200#123—941no—
1201#123—941no—
1202C22⋊Q8—21no—
1203C22⋊Q8—471no—
1204C22⋊Q8—471no—
1205C22⋊Q8—471no—
1206C22⋊Q8—471no—
1207C22⋊Q8—471no—
1208C22⋊Q8—471no—
1209C22⋊Q8—941no—
1210C22⋊Q8—941no—
1211C22⋊Q8—941no—
1212C22⋊Q8—941no—
1213C22⋊Q8—941no—
1214C22⋊Q8—941no—
1215C22⋊Q8—941no—
1216C22⋊Q8—941no—
1217C22⋊Q8—941no—
1218C22⋊Q8—941no—
1219C22⋊Q8—941no—
1220C22⋊Q8C22×D4711yescharacteristic
1221#121—21no—
1222#121—21no—
1223#121—471no—
1224#121—471no—
1225#121—471no—
1226#121—471no—
1227#121—471no—
1228#121—471no—
1229#121—941no—
1230#121—941no—
1231#121—941no—
1232#121—941no—
1233#121—941no—
1234#121—941no—
1235#121—941no—
1236#121—941no—
1237#121—941no—
1238#121—941no—
1239#121—941no—
1240#121—941no—
1241#121C22×D4711yescharacteristic
1242#120—21no—
1243#120—21no—
1244#120—941no—
1245#120—941no—
1246#120—941no—
1247#120—941no—
1248#120—941no—
1249#120—941no—
1250#120—941no—
1251#120—941no—
1252C4×Q8—471no—
1253C4×Q8—471no—
1254C4×Q8—471no—
1255C4×Q8—471no—
1256C4×Q8—471no—
1257C4×Q8—471no—
1258C4×Q8—471no—
1259C4×Q8—471no—
1260C4×Q8—471no—
1261C4×Q8—471no—
1262C4×Q8—941no—
1263C4×Q8—941no—
1264C4×Q8—941no—
1265C4×Q8—941no—
1266C4×Q8—941no—
1267C4×Q8—941no—
1268C4×Q8—941no—
1269C4×Q8—941no—
1270C4×Q8C22×D4711yescharacteristic
1271C4×D4—471no—
1272C4×D4—471no—
1273C4×D4—471no—
1274C4×D4—471no—
1275C4×D4—471no—
1276C4×D4—471no—
1277C4×D4—471no—
1278C4×D4—471no—
1279C4×D4—941no—
1280C4×D4—941no—
1281C4×D4—941no—
1282C4×D4—941no—
1283C4×D4—941no—
1284C4×D4—941no—
1285C4×D4—941no—
1286C4×D4—941no—
1287C4×D4—941no—
1288C4×D4—941no—
1289C4×D4C22×D4711yescharacteristic
1290#117—471no—
1291#117—471no—
1292#117—471no—
1293#117—471no—
1294#117—941no—
1295#117—941no—
1296#117—941no—
1297#117—941no—
1298#117—941no—
1299#117—941no—
1300#117—941no—
1301#117—941no—
1302#117C22×D4711yescharacteristic
1303C2×C22⋊C4—941no—
1304C2×C22⋊C4—941no—
1305C2×C22⋊C4—941no—
1306C2×C22⋊C4—941no—
1307C2×C42—471no—
1308C2×C42—941no—
1309#107—471no—
1310#107—471no—
1311#107—471no—
1312#107—471no—
1313#107—471no—
1314#107—471no—
1315#106—471no—
1316#106—471no—
1317C4⋊C8—471no—
1318C4⋊C8—471no—
1319C4⋊C8—471no—
1320C4⋊C8—471no—
1321C4⋊C8—471no—
1322C4⋊C8—471no—
1323C4⋊C8—471no—
1324C4⋊C8—471no—
1325C4⋊C8C22×D4711yescharacteristic
1326C4⋊C8C22×D4711yescharacteristic
1327#103—471no—
1328#103—471no—
1329#103—471no—
1330#103—471no—
1331#103—471no—
1332#103—471no—
1333#103—471no—
1334#103—471no—
1335#103—471no—
1336#103—471no—
1337#103—471no—
1338#103—471no—
1339#103C22×D4711yescharacteristic
1340#103C22×D4711yescharacteristic
1341#102—471no—
1342#102—471no—
1343#102—471no—
1344#102—471no—
1345#102—471no—
1346#102—471no—
1347#102—471no—
1348#102—471no—
1349#102—471no—
1350#102—471no—
1351#102—471no—
1352#102—471no—
1353#102C22×D4711yescharacteristic
1354#102C22×D4711yescharacteristic
1355#102C22×D4711yescharacteristic
1356#102C22×D4711yescharacteristic
1357#102C22×D4711yescharacteristic
1358#102C22×D4711yescharacteristic
1359C22⋊C8—471no—
1360C22⋊C8—471no—
1361C22⋊C8—471no—
1362C22⋊C8—471no—
1363C22⋊C8C22×D4711yescharacteristic
1364C22⋊C8C22×D4711yescharacteristic
1365#97—471no—
1366#97—471no—
1367#97—471no—
1368#97C22×D4711yescharacteristic
1369C4×C8—471no—
1370C4×C8C22×D4711yescharacteristic
1371C24—21no—
1372C24—941no—
1373C24—941no—
1374#41—41no—
1375#41—41no—
1376#41—942no—
1377#41—3762no—
1378#41—1881no—
1379#41—1881no—
1380#41—1881no—
1381C2×Q8—21no—
1382C2×Q8—471no—
1383C2×Q8—471no—
1384C2×Q8—471no—
1385C2×Q8—471no—
1386C2×Q8—941no—
1387C2×Q8—941no—
1388C2×Q8—941no—
1389C2×Q8—941no—
1390C2×Q8—942no—
1391C2×Q8—941no—
1392C2×Q8—941no—
1393C2×Q8—942no—
1394C2×Q8—1881no—
1395C2×Q8—1881no—
1396C2×Q8—1881no—
1397C2×Q8—1881no—
1398C2×Q8C23×D4711yescharacteristic
1399C2×Q8C23×D4711yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—471no—
1410C2×D4—471no—
1411C2×D4—471no—
1412C2×D4—471no—
1413C2×D4—941no—
1414C2×D4—941no—
1415C2×D4—941no—
1416C2×D4—941no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—941no—
1423C2×D4—941no—
1424C2×D4—3762no—
1425C2×D4—3762no—
1426C2×D4—1881no—
1427C2×D4—1881no—
1428C2×D4—1881no—
1429C2×D4—1881no—
1430C2×D4C23×D4711yescharacteristic
1431C2×D4C23×D4711yescharacteristic
1432C2×D4C23×D4711yescharacteristic
1433C2×D4C23×D4711yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—471no—
1437C22×C4—471no—
1438C22×C4—471no—
1439C22×C4—471no—
1440C22×C4—941no—
1441C22×C4—941no—
1442C22×C4—941no—
1443C22×C4—941no—
1444C22×C4—941no—
1445C22×C4—941no—
1446C22×C4—941no—
1447C22×C4—941no—
1448C22×C4—941no—
1449C22×C4—941no—
1450C22×C4C23×D4711yescharacteristic
1451Q16—41no—
1452Q16—942no—
1453Q16—942no—
1454Q16—1881no—
1455Q16—1881no—
1456Q16—1881no—
1457SD16—41no—
1458SD16—41no—
1459SD16—41no—
1460SD16—41no—
1461SD16—942no—
1462SD16—942no—
1463SD16—942no—
1464SD16—942no—
1465SD16—1881no—
1466SD16—1881no—
1467SD16—1881no—
1468SD16—1881no—
1469SD16—1881no—
1470SD16—1881no—
1471D8—41no—
1472D8—41no—
1473D8—41no—
1474D8—1881no—
1475M16—1881no—
1476M16—1881no—
1477M16—1881no—
1478M16—1881no—
1479C2×C8—471no—
1480C2×C8—471no—
1481C2×C8—471no—
1482C2×C8—471no—
1483C2×C8—1881no—
1484C2×C8—1881no—
1485C2×C8C23×D4711yescharacteristic
1486C2×C8C23×D4711yescharacteristic
1487C2×C8C23×D4711yescharacteristic
1488C2×C8C23×D4711yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—471no—
1493C4⋊C4—471no—
1494C4⋊C4—471no—
1495C4⋊C4—471no—
1496C4⋊C4—471no—
1497C4⋊C4—471no—
1498C4⋊C4—471no—
1499C4⋊C4—471no—
1500C4⋊C4—471no—
1501C4⋊C4—471no—
1502C4⋊C4—471no—
1503C4⋊C4—471no—
1504C4⋊C4—941no—
1505C4⋊C4—941no—
1506C4⋊C4—941no—
1507C4⋊C4—941no—
1508C4⋊C4—941no—
1509C4⋊C4—941no—
1510C4⋊C4—941no—
1511C4⋊C4—941no—
1512C4⋊C4—941no—
1513C4⋊C4—941no—
1514C4⋊C4—941no—
1515C4⋊C4—941no—
1516C4⋊C4—941no—
1517C4⋊C4—941no—
1518C4⋊C4—941no—
1519C4⋊C4—941no—
1520C4⋊C4—941no—
1521C4⋊C4—941no—
1522C4⋊C4—941no—
1523C4⋊C4D4×D4711yescharacteristic
1524C4⋊C4D4×D4711yescharacteristic
1525C4⋊C4C23×D4711yescharacteristic
1526C4⋊C4C23×D4711yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—471no—
1537C22⋊C4—471no—
1538C22⋊C4—471no—
1539C22⋊C4—471no—
1540C22⋊C4—471no—
1541C22⋊C4—471no—
1542C22⋊C4—471no—
1543C22⋊C4—471no—
1544C22⋊C4—941no—
1545C22⋊C4—941no—
1546C22⋊C4—941no—
1547C22⋊C4—941no—
1548C22⋊C4—941no—
1549C22⋊C4—941no—
1550C22⋊C4—941no—
1551C22⋊C4—941no—
1552C22⋊C4—941no—
1553C22⋊C4—941no—
1554C22⋊C4—941no—
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—941no—
1572C22⋊C4D4×D4711yescharacteristic
1573C22⋊C4D4×D4711yescharacteristic
1574C42—21no—
1575C42—471no—
1576C42—471no—
1577C42—471no—
1578C42—471no—
1579C42—941no—
1580C42—941no—
1581C42—941no—
1582C42—941no—
1583C42—941no—
1584C42—941no—
1585C42—941no—
1586C42—941no—
1587C42—941no—
1588C42—941no—
1589C42—941no—
1590C42—941no—
1591C42C23×D4711yescharacteristic
1592C42C23×D4711yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—81no—
1598C23—81no—
1599C23—81no—
1600C23—471no—
1601C23—471no—
1602C23—941no—
1603C23—3761no—
1604C23—3761no—
1605C23—3761no—
1606C23—3761no—
1607C23—3761no—
1608C23—1882no—
1609C23C2×D4×D4711yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—81no—
1615Q8—472no—
1616Q8—941no—
1617Q8—941no—
1618Q8—941no—
1619Q8—941no—
1620Q8—941no—
1621Q8—3761no—
1622Q8—3761no—
1623Q8—3761no—
1624Q8—3761no—
1625Q8—1881no—
1626Q8—1882no—
1627Q8—1882no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—941no—
1644D4—941no—
1645D4—3761no—
1646D4—3761no—
1647D4—3761no—
1648D4—3761no—
1649D4—3761no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—1881no—
1654D4—1881no—
1655D4—1881no—
1656D4—1882no—
1657D4—1882no—
1658D4—1882no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—471no—
1668C2×C4—471no—
1669C2×C4—471no—
1670C2×C4—471no—
1671C2×C4—471no—
1672C2×C4—471no—
1673C2×C4—941no—
1674C2×C4—941no—
1675C2×C4—941no—
1676C2×C4—941no—
1677C2×C4—941no—
1678C2×C4—941no—
1679C2×C4—941no—
1680C2×C4—941no—
1681C2×C4—941no—
1682C2×C4—941no—
1683C2×C4—941no—
1684C2×C4—3761no—
1685C2×C4—3761no—
1686C2×C4—3761no—
1687C2×C4—3761no—
1688C2×C4—3761no—
1689C2×C4—3761no—
1690C2×C4—1881no—
1691C2×C4—1881no—
1692C2×C4—1882no—
1693C2×C4—1882no—
1694C2×C4—1882no—
1695C2×C4—1882no—
1696C2×C4C2×D4×D4711yescharacteristic
1697C2×C4C2×D4×D4711yescharacteristic
1698C2×C4C2×D4×D4711yescharacteristic
1699C2×C4C2×D4×D4711yescharacteristic
1700C2×C4C2×D4×D4711yescharacteristic
1701C2×C4C24×D4711yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—941no—
1707C8—941no—
1708C8—941no—
1709C8—941no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—162no—
1726C22—941no—
1727C22—941no—
1728C22—941no—
1729C22—941no—
1730C22—941no—
1731C22—941no—
1732C22—1881no—
1733C22—1881no—
1734C22—1881no—
1735C22—7522no—
1736C22—7522no—
1737C22C22×D4×D4711yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—941no—
1748C4—941no—
1749C4—942no—
1750C4—941no—
1751C4—941no—
1752C4—941no—
1753C4—941no—
1754C4—1881no—
1755C4—1881no—
1756C4—1881no—
1757C4—1881no—
1758C4—1881no—
1759C4—1881no—
1760C4H(5,𝔽2)×D4711yescharacteristic
1761C4#1568995811yescharacteristic
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—3761no—
1768C2—1881no—
1769C2—1881no—
1770C2#2025705511yescharacteristic
1771C2#2025816311yescharacteristic
1772C2#2025817011yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3224C2
socleC22×C47C23×D4
hypercenter#3224D47
hypocenterC47#62092
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #20257906C2semidirect
2. #20257401C2semidirect
3. #20256460C2semidirect
4. #20256449C2semidirect
5. #20256207C2semidirect
6. #20256199C2semidirect
7. #20255618C2semidirect
8. #20255612C2semidirect
9. #20255548C2semidirect
10. #20255537C2semidirect
11. #20255458C2semidirect
12. #20255453C2semidirect
13. #20255043C2semidirect
14. #20255038C2semidirect
15. #20254902C2semidirect
16. #20254896C2semidirect
17. #20254887C2semidirect
18. #20254882C2semidirect
19. #20254846C2semidirect
20. #20254844C2semidirect
21. #20254773C2semidirect
22. #20254479C2semidirect
23. #20254389C2semidirect
24. #20253619C2semidirect
25. #20253614C2semidirect
26. #20253536C2semidirect
27. #20252905C2semidirect
28. #20252904C2semidirect
29. #20252877C2semidirect
30. #20252553C2semidirect
31. C47×#3224C2semidirect
32. C2×#13094054C22semidirect
33. C2×#13094053C22semidirect
34. C2×#13094053C22semidirect
36. C22×#10625335C22semidirect
37. C2×SD16×D47C22semidirect
42. #15689853C22semidirect
43. #15689847C22semidirect
44. #15689844C22semidirect
46. #15689842C22semidirect
49. #15689837C22semidirect
51. #15689786C22semidirect
53. #15689781C22semidirect
55. #15689779C22semidirect
66. #15689738C22semidirect
72. #15689677C22semidirect
78. #15689600C22semidirect
79. #15689599C22semidirect
80. C4×#10625352C22semidirect
81. #15689516C22semidirect
82. #15689514C22semidirect
84. #15689506C22semidirect
85. #15689484C22semidirect
86. #15689481C22semidirect
87. #15689481C22semidirect
89. #15689465C22semidirect
90. #15689462C22semidirect
93. #15689446C22semidirect
94. #15689446C22semidirect
95. #15689419C22semidirect
96. #15689418C22semidirect
97. #15689416C22semidirect
98. #15689415C22semidirect
99. #15689409C22semidirect
100. #15689403C22semidirect
101. #15689401C22semidirect
102. #15689401C22semidirect
103. #15689401C22semidirect
104. #15689400C22semidirect
107. #15689368C22semidirect
108. #15689368C22semidirect
109. #15689367C22semidirect
110. #15689366C22semidirect
111. #15689366C22semidirect
112. #15689366C22semidirect
113. #15689363C22semidirect
114. #15689362C22semidirect
117. #15689348C22semidirect
118. #15689346C22semidirect
119. #15689346C22semidirect
120. #15689345C22semidirect
121. #15689344C22semidirect
122. #15689344C22semidirect
123. #15689343C22semidirect
124. #15689343C22semidirect
125. #15689342C22semidirect
126. #15689342C22semidirect
127. #15689342C22semidirect
128. #15689342C22semidirect
129. #15689342C22semidirect
130. #15689340C22semidirect
131. #15689338C22semidirect
132. #15689336C22semidirect
133. #15689336C22semidirect
134. #15689335C22semidirect
135. #15689326C22semidirect
136. #15689326C22semidirect
141. #15689320C22semidirect
142. #15689320C22semidirect
143. #15689286C22semidirect
144. #15689281C22semidirect
145. #15689280C22semidirect
146. #15689277C22semidirect
147. #15689277C22semidirect
149. #15689275C22semidirect
151. #15689265C22semidirect
152. #15689265C22semidirect
153. #15689265C22semidirect
156. #15689255C22semidirect
157. #15689253C22semidirect
158. #15689251C22semidirect
159. #15689235C22semidirect
160. #15689235C22semidirect
161. #15689231C22semidirect
162. #15689230C22semidirect
163. #15689225C22semidirect
164. #15689220C22semidirect
165. #15689220C22semidirect
166. #15689220C22semidirect
167. C4×Dic188C22semidirect
168. #15689215C22semidirect
169. C4×#10625325C22semidirect
170. SD16×Dic47C22semidirect
171. #15689202C22semidirect
172. #15689198C22semidirect
173. #15689197C22semidirect
174. #15689196C22semidirect
175. #15689191C22semidirect
176. #15689191C22semidirect
177. #15689183C22semidirect
178. #15689179C22semidirect
179. #15689150C22semidirect
180. #15689148C22semidirect
181. #15689145C22semidirect
182. #15689130C22semidirect
183. #15689128C22semidirect
185. #15689126C22semidirect
186. #15689119C22semidirect
187. #15689116C22semidirect
188. C47×#542C22semidirect
191. C47×#495C22semidirect
192. C47×#489C22semidirect
194. C47×#464C22semidirect
195. C47×#463C22semidirect
196. C47×#460C22semidirect
197. C47×#459C22semidirect
198. C47×#452C22semidirect
199. C47×#450C22semidirect
200. C47×#449C22semidirect
201. C47×#447C22semidirect
202. C47×#433C22semidirect
898. #3224D47semidirect
953. #542C2×D47semidirect
974. #495C2×D47semidirect
978. #489C2×D47semidirect
1022. #464C2×D47semidirect
1028. #463C2×D47semidirect
1037. #460C2×D47semidirect
1038. #459C2×D47semidirect
1040. #452C2×D47semidirect
1048. #450C2×D47semidirect
1052. #449C2×D47semidirect
1056. #447C2×D47semidirect
1078. #433C2×D47semidirect
1089. C47#62092semidirect

Maximal subgroups

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

subgroupindex
#202579062
#202574012
#202564602
#202564492
#202562072
#202561992
#202556182
#202556122
#202555482
#202555372
#202554582
#202554532
#202550432
#202550382
#202549022
#202548962
#202548872
#202548822
#202548462
#202548442
#202547732
#202544792
#202543892
#202536192
#202536142
#202535362
#202529052
#202529042
#202528772
#202525532
C47×#32242
#6209247