Finite Group Databasebeta

← #27102490

Subgroups — #27102490

Order 12032.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257656C211yesmaximal, characteristic, complemented
2#20257046C211yesmaximal, characteristic, complemented
3#20255578C211yesmaximal, characteristic, complemented
4#20255570C211yesmaximal, characteristic, complemented
5#20255458C211yesmaximal, characteristic, complemented
6#20255450C211yesmaximal, characteristic, complemented
7#20255334C211yesmaximal, characteristic, complemented
8#20255331C211yesmaximal, characteristic, complemented
9#20255323C211yesmaximal, characteristic, complemented
10#20255320C211yesmaximal, characteristic, complemented
11#20255127C211yesmaximal, characteristic, complemented
12#20255123C211yesmaximal, characteristic, complemented
13#20255098C211yesmaximal, characteristic, complemented
14#20255089C211yesmaximal, characteristic, complemented
15#20254977C211yesmaximal, characteristic, complemented
16#20254973C211yesmaximal, characteristic, complemented
17#20254928C211yesmaximal, characteristic, complemented
18#20254921C211yesmaximal, characteristic, complemented
19#20254486C211yesmaximal, characteristic, complemented
20#20254478C211yesmaximal, characteristic, complemented
21#20254257C211yesmaximal, characteristic, complemented
22#20254251C211yesmaximal, characteristic, complemented
23#20254181C211yesmaximal, characteristic, complemented
24#20254176C211yesmaximal, characteristic, complemented
25#20253618C211yesmaximal, characteristic, complemented
26#20253610C211yesmaximal, characteristic, complemented
27#20252678C211yesmaximal, characteristic, complemented
28#20252669C211yesmaximal, characteristic, complemented
29#20252606C211yesmaximal, characteristic, complemented
30#20252442C211yesmaximal, characteristic, complemented
31C47×#3002C211yesmaximal, characteristic, complemented
32C2×#13094072C2211yescharacteristic
33C2×#13094056C2211yescharacteristic, complemented
34C2×#13094051C2211yescharacteristic, complemented
35C2×#13094044C2211yescharacteristic
36C2×#13094044C2211yescharacteristic
37C2×Q16×D47C2211yescharacteristic, complemented
38C2×SD16×D47C2211yescharacteristic, complemented
39#15689866—21no—
40#15689862—21no—
41#15689856—21no—
42#15689844C2211yescharacteristic, complemented
43#15689841C2211yescharacteristic, complemented
44#15689837C2211yescharacteristic, complemented
45#15689836C2211yescharacteristic, complemented
46#15689802—21no—
47#15689792—21no—
48#15689792—21no—
49#15689792C2211yescharacteristic
50#15689792C2211yescharacteristic
51#15689792C2211yescharacteristic, complemented
52#15689792C2211yescharacteristic, complemented
53#15689783C2211yescharacteristic, complemented
54#15689780—21no—
55#15689780—21no—
56#15689780C2211yescharacteristic
57#15689780C2211yescharacteristic
58#15689780C2211yescharacteristic, complemented
59#15689780C2211yescharacteristic, complemented
60#15689780C2211yescharacteristic, complemented
61#15689770C2211yescharacteristic, complemented
62#15689761C2211yescharacteristic, complemented
63#15689746C2211yescharacteristic
64#15689741—21no—
65#15689740C2211yescharacteristic
66#15689738—21no—
67#15689709—21no—
68#15689706—21no—
69#15689696C2211yescharacteristic
70#15689690—21no—
71#15689690—21no—
72#15689690C2211yescharacteristic
73#15689690C2211yescharacteristic, complemented
74#15689689C2211yescharacteristic
75#15689634—21no—
76#15689634—21no—
77#15689634C2211yescharacteristic
78#15689634C2211yescharacteristic
79#15689634C2211yescharacteristic, complemented
80#15689601C2211yescharacteristic, complemented
81#15689511C2211yescharacteristic, complemented
82#15689509C2211yescharacteristic, complemented
83#15689506C2211yescharacteristic, complemented
84#15689504C2211yescharacteristic, complemented
85#15689481C2211yescharacteristic, complemented
86#15689481C2211yescharacteristic, complemented
87#15689468C2211yescharacteristic, complemented
88#15689468C2211yescharacteristic, complemented
89#15689465C2211yescharacteristic, complemented
90#15689465C2211yescharacteristic, complemented
91#15689464C2211yescharacteristic, complemented
92#15689461C2211yescharacteristic, complemented
93#15689448C2211yescharacteristic
94#15689448C2211yescharacteristic, complemented
95#15689447C2211yescharacteristic, complemented
96#15689446C2211yescharacteristic, complemented
97#15689446C2211yescharacteristic, complemented
98#15689445C2211yescharacteristic, complemented
99#15689445C2211yescharacteristic, complemented
100#15689444C2211yescharacteristic
101#15689416C2211yescharacteristic, complemented
102#15689416C2211yescharacteristic, complemented
103#15689406C2211yescharacteristic, complemented
104#15689406C2211yescharacteristic, complemented
105#15689375C2211yescharacteristic, complemented
106#15689373C2211yescharacteristic, complemented
107#15689368C2211yescharacteristic, complemented
108#15689366C2211yescharacteristic, complemented
109#15689364C2211yescharacteristic, complemented
110#15689362C2211yescharacteristic, complemented
111#15689359C2211yescharacteristic, complemented
112#15689358C2211yescharacteristic, complemented
113#15689357C2211yescharacteristic, complemented
114#15689356C2211yescharacteristic, complemented
115#15689354C2211yescharacteristic, complemented
116#15689352C2211yescharacteristic, complemented
117#15689352C2211yescharacteristic, complemented
118#15689351C2211yescharacteristic, complemented
119#15689350C2211yescharacteristic, complemented
120#15689349C2211yescharacteristic, complemented
121#15689347C2211yescharacteristic, complemented
122#15689347C2211yescharacteristic, complemented
123#15689344C2211yescharacteristic, complemented
124#15689343C2211yescharacteristic, complemented
125#15689343C2211yescharacteristic, complemented
126#15689343C2211yescharacteristic, complemented
127#15689337C2211yescharacteristic, complemented
128#15689336C2211yescharacteristic, complemented
129#15689322C2211yescharacteristic, complemented
130#15689321C2211yescharacteristic, complemented
131#15689317C2211yescharacteristic, complemented
132#15689316C2211yescharacteristic, complemented
133#15689288C2211yescharacteristic, complemented
134#15689287C2211yescharacteristic, complemented
135#15689287C2211yescharacteristic, complemented
136#15689285C2211yescharacteristic, complemented
137#15689285C2211yescharacteristic, complemented
138#15689285C2211yescharacteristic, complemented
139#15689284C2211yescharacteristic, complemented
140#15689283C2211yescharacteristic, complemented
141#15689280C2211yescharacteristic, complemented
142#15689279C2211yescharacteristic, complemented
143#15689277C2211yescharacteristic, complemented
144#15689274C2211yescharacteristic, complemented
145#15689271C2211yescharacteristic, complemented
146#15689270C2211yescharacteristic
147#15689270C2211yescharacteristic, complemented
148#15689268C2211yescharacteristic
149#15689268C2211yescharacteristic
150#15689268C2211yescharacteristic, complemented
151#15689267C2211yescharacteristic, complemented
152#15689266C2211yescharacteristic
153#15689263C2211yescharacteristic, complemented
154#15689262C2211yescharacteristic
155#15689260C2211yescharacteristic, complemented
156#15689260C2211yescharacteristic, complemented
157#15689260C2211yescharacteristic, complemented
158#15689257C2211yescharacteristic
159#15689255C2211yescharacteristic, complemented
160#15689255C2211yescharacteristic, complemented
161#15689230C2211yescharacteristic, complemented
162#15689227C2211yescharacteristic, complemented
163#15689226C2211yescharacteristic, complemented
164#15689224C2211yescharacteristic, complemented
165Q16×Dic47C2211yescharacteristic, complemented
166#15689215C2211yescharacteristic, complemented
167SD16×Dic47C2211yescharacteristic, complemented
168#15689208C2211yescharacteristic, complemented
169#15689194C2211yescharacteristic, complemented
170#15689194C2211yescharacteristic, complemented
171#15689191C2211yescharacteristic, complemented
172#15689191C2211yescharacteristic, complemented
173C8×C22⋊D47C2211yescharacteristic, complemented
174C8×C22⋊D47C2211yescharacteristic, complemented
175(C22⋊D47)⋊C8C2211yescharacteristic, complemented
176(C22⋊D47)⋊C8C2211yescharacteristic, complemented
177#15689181C2211yescharacteristic, complemented
178#15689181C2211yescharacteristic, complemented
179#15689130C2211yescharacteristic, complemented
180#15689130C2211yescharacteristic, complemented
181#15689119C2211yescharacteristic, complemented
182#15689119C2211yescharacteristic, complemented
183#15689118C2211yescharacteristic, complemented
184#15689118C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic
186#15689088C2211yescharacteristic
187C2×C22⋊(C47⋊C8)C2211yescharacteristic, complemented
188C22×#41×C47C2211yescharacteristic, complemented
189C2×#135×C47C2211yescharacteristic
190C2×#135×C47C2211yescharacteristic
191C47×#525C2211yescharacteristic
192C47×#452C2211yescharacteristic, complemented
193C47×#452C2211yescharacteristic, complemented
194C47×#451C2211yescharacteristic, complemented
195C47×#450C2211yescharacteristic, complemented
196C47×#449C2211yescharacteristic
197C47×#449C2211yescharacteristic
198C47×#448C2211yescharacteristic
199C47×#447C2211yescharacteristic
200C47×#416C2211yescharacteristic, complemented
201C47×#416C2211yescharacteristic, complemented
202C2×C22⋊C8×C47C2211yescharacteristic, complemented
203#13094072—42no—
204#13094072—42no—
205C2×#10625354—21no—
206C2×#10625354C2311yescharacteristic
207C2×#10625354C2311yescharacteristic
208C2×#10625350—21no—
209C2×#10625350—21no—
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×Q8×D47—21no—
214C2×Q8×D47C2311yescharacteristic
215C2×Q8×D47C2311yescharacteristic
216C2×Q8×D47C2311yescharacteristic
217C2×D4×D47C2311yescharacteristic
218#13094056—42no—
219#13094051—42no—
220#13094044—42no—
221#13094044—42no—
222C2×Dic188C2311yescharacteristic
223C2×#10625337C2311yescharacteristic
224C2×#10625337C2311yescharacteristic
225C2×#10625337C2311yescharacteristic
226Q16×D47—42no—
227C2×#10625325C2311yescharacteristic
228C2×#10625325C2311yescharacteristic
229C2×#10625335C2311yescharacteristic
230C2×#10625335C2311yescharacteristic
231C2×#10625335C2311yescharacteristic
232C2×#10625336C2311yescharacteristic
233C2×#10625336C2311yescharacteristic
234C2×#10625336C2311yescharacteristic
235SD16×D47—42no—
236C2×D376C2311yescharacteristic
237C2×#10625334C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239C2×#10625334C2311yescharacteristic
240C2×#10625324C2311yescharacteristic
241C2×#10625324C2311yescharacteristic
242C22×C47⋊C8C2311yescharacteristic
243C22×C47⋊C8C2311yescharacteristic
244C2×C8×D47C2311yescharacteristic
245C2×C8×D47C2311yescharacteristic
246#13094023—21no—
247#13094023C2311yescharacteristic
248#13094023C2311yescharacteristic
249#13094020—21no—
250#13094020—21no—
251#13094020—21no—
252#13094020—21no—
253#13094020—21no—
254#13094020—21no—
255#13094020C2311yescharacteristic
256#13094020C2311yescharacteristic
257#13094019—21no—
258#13094019—21no—
259#13094018—21no—
260#13094017—21no—
261#13094017—21no—
262#13094017—21no—
263#13094013C2311yescharacteristic
264#13094012—21no—
265#13094011—21no—
266#13094011—21no—
267#13094011—21no—
268#13094011—21no—
269#13094011—21no—
270#13094011—21no—
271#13094011—21no—
272#13094011—21no—
273#13094011C2311yescharacteristic
274#13094011C2311yescharacteristic
275#13094011C2311yescharacteristic
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#13094009—21no—
285#13094007—21no—
286#13094007—21no—
287#13094007—21no—
288#13094007D411yescharacteristic
289#13094007D411yescharacteristic
290#13094006—21no—
291#13094006—21no—
292#13094006—21no—
293#13094005—21no—
294#13094004—21no—
295#13094004C2311yescharacteristic
296#13094003—21no—
297#13094003—21no—
298#13094003—21no—
299#13094003—21no—
300#13094003—21no—
301#13094003D411yescharacteristic
302#13094003D411yescharacteristic
303#13094003C2311yescharacteristic
304#13094003C2311yescharacteristic
305#13094003C2311yescharacteristic
306#13094003C2311yescharacteristic
307#13094002—21no—
308#13094001—21no—
309#13094000C2311yescharacteristic
310#13093999C2311yescharacteristic
311#13093998—21no—
312#13093998—21no—
313#13093998—21no—
314#13093998—21no—
315#13093998D411yescharacteristic
316#13093998D411yescharacteristic
317#13093998C2311yescharacteristic
318#13093998C2311yescharacteristic
319#13093998C2311yescharacteristic
320#13093998C2311yescharacteristic
321#13093997—21no—
322#13093997—21no—
323#13093996—21no—
324#13093996—21no—
325#13093995—21no—
326#13093995—21no—
327#13093995—21no—
328#13093995—21no—
329#13093995—21no—
330#13093995—21no—
331#13093995—21no—
332#13093995—21no—
333#13093995—21no—
334#13093995—21no—
335#13093995—21no—
336#13093995—21no—
337#13093995C2311yescharacteristic
338#13093995C2311yescharacteristic
339#13093995C2311yescharacteristic
340#13093995C2311yescharacteristic
341#13093995C2311yescharacteristic
342#13093994—21no—
343#13093993—21no—
344#13093993—21no—
345#13093993—21no—
346#13093993—21no—
347#13093993—21no—
348#13093993—21no—
349#13093993D411yescharacteristic
350#13093993D411yescharacteristic
351#13093992—21no—
352#13093992—21no—
353#13093992—21no—
354Q8×Dic47—21no—
355Q8×Dic47—21no—
356Q8×Dic47C2311yescharacteristic
357Q8×Dic47C2311yescharacteristic
358Q8×Dic47C2311yescharacteristic
359Q8×Dic47C2311yescharacteristic
360Q8×Dic47C2311yescharacteristic
361C4×Dic94—21no—
362#13093989—21no—
363#13093989C2311yescharacteristic
364D4×Dic47C2311yescharacteristic
365#13093986—21no—
366#13093986C2311yescharacteristic
367C4×C22⋊D47—21no—
368C4×C22⋊D47—21no—
369C4×C22⋊D47—21no—
370C4×C22⋊D47—21no—
371C4×C22⋊D47—21no—
372C4×C22⋊D47—21no—
373C4×C22⋊D47—21no—
374C4×C22⋊D47—21no—
375C4×C22⋊D47—21no—
376C4×C22⋊D47—21no—
377C4×C22⋊D47—21no—
378C4×C22⋊D47—21no—
379C4×C22⋊D47—21no—
380C4×C22⋊D47C2311yescharacteristic
381C4×C22⋊D47C2311yescharacteristic
382C4×C22⋊D47C2311yescharacteristic
383C4×C22⋊D47C2311yescharacteristic
384#13093983—21no—
385#13093983—21no—
386#13093983C2311yescharacteristic
387#13093983C2311yescharacteristic
388#13093983C2311yescharacteristic
389#13093982C2311yescharacteristic
390#13093982C2311yescharacteristic
391#13093981—21no—
392#13093980—21no—
393C2×(C2×D47)⋊C4—21no—
394C22⋊C4×D47—21no—
395#13093958C2311yescharacteristic
396#13093958C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093956C2311yescharacteristic
400#13093956C2311yescharacteristic
401#13093955C2311yescharacteristic
402#13093955C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093948C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431C22⋊(C47⋊C8)C2311yescharacteristic
432C22⋊(C47⋊C8)C2311yescharacteristic
433C22⋊(C47⋊C8)C2311yescharacteristic
434C22⋊(C47⋊C8)C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439#13093934C2311yescharacteristic
440#13093934C2311yescharacteristic
441C8×Dic47C2311yescharacteristic
442C8×Dic47C2311yescharacteristic
443C2×#41×C47—21no—
444C2×#41×C47—21no—
445C2×#41×C47—42no—
446C2×#41×C47—42no—
447C2×#41×C47C2311yescharacteristic
448C2×#41×C47C2311yescharacteristic
449C2×#41×C47C2311yescharacteristic
450C2×#41×C47C2311yescharacteristic
451C2×#41×C47C2311yescharacteristic
452C22×Q8×C47C2311yescharacteristic
453C22×D4×C47—21no—
454C22×D4×C47C2311yescharacteristic
455C23×C4×C47—21no—
456C23×C4×C47C2311yescharacteristic
457#135×C47—42no—
458#135×C47—42no—
459C2×Q16×C47C2311yescharacteristic
460C2×Q16×C47C2311yescharacteristic
461C2×SD16×C47C2311yescharacteristic
462C2×SD16×C47C2311yescharacteristic
463C2×SD16×C47C2311yescharacteristic
464C2×SD16×C47C2311yescharacteristic
465C2×D8×C47C2311yescharacteristic
466C2×D8×C47C2311yescharacteristic
467C22×C8×C47C2311yescharacteristic
468C22×C8×C47C2311yescharacteristic
469#123×C47—21no—
470C22⋊Q8×C47C2311yescharacteristic
471C22⋊Q8×C47C2311yescharacteristic
472#121×C47C2311yescharacteristic
473#121×C47C2311yescharacteristic
474#120×C47—21no—
475C4×D4×C47—21no—
476C4×D4×C47—21no—
477#117×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×C47—21no—
491C24×C47C2×D411yescharacteristic
492C23×D47—21no—
493#41×C47—22no—
494#41×C47—22no—
495#41×C47—22no—
496#41×C47—22no—
497#41×C47—41no—
498#41×C47—41no—
499#41×C47—41no—
500#41×C47—41no—
501#41×C47—41no—
502#41×C47—41no—
503#41×C47—44no—
504#41×C47—44no—
505C2×Q8×C47—22no—
506C2×Q8×C47—22no—
507C2×Q8×C47—21no—
508C2×Q8×C47C2411yescharacteristic
509C2×Q8×C47C2411yescharacteristic
510C2×Q8×C47C2411yescharacteristic
511C2×D4×C47—21no—
512C2×D4×C47—21no—
513C2×D4×C47—21no—
514C2×D4×C47—21no—
515C2×D4×C47—21no—
516C2×D4×C47—21no—
517C2×D4×C47—21no—
518C2×D4×C47—21no—
519C2×D4×C47—41no—
520C2×D4×C47—41no—
521C2×D4×C47—44no—
522C2×D4×C47C2411yescharacteristic
523C2×D4×C47C2411yescharacteristic
524C2×D4×C47C2411yescharacteristic
525C22×C4×C47—21no—
526C22×C4×C47—21no—
527C22×C4×C47—21no—
528C22×C4×C47—21no—
529C22×C4×C47—21no—
530C22×C4×C47—21no—
531C22×C4×C47—41no—
532C22×C4×C47—41no—
533C22×C4×C47—44no—
534C22×C4×C47C2×D411yescharacteristic
535C22×C4×C47C2×D411yescharacteristic
536C22×C4×C47C2×D411yescharacteristic
537C22×C4×C47C2411yescharacteristic
538C22×C4×C47C2411yescharacteristic
539C22×C4×C47C2411yescharacteristic
540C2×C22⋊D47—21no—
541C2×C22⋊D47—21no—
542C2×C22⋊D47—21no—
543C2×C22⋊D47—21no—
544C2×C22⋊D47—21no—
545C2×C22⋊D47—21no—
546C2×C22⋊D47—21no—
547C2×C22⋊D47—21no—
548C2×C22⋊D47—21no—
549C2×C22⋊D47—21no—
550C2×C22⋊D47—21no—
551C2×C22⋊D47—21no—
552C2×C22⋊D47—21no—
553C2×C22⋊D47—21no—
554C2×C22⋊D47—21no—
555C2×C22⋊D47—21no—
556C2×C22⋊D47C2×D411yescharacteristic
557C2×C22⋊D47C2×D411yescharacteristic
558C2×C22⋊D47C2×D411yescharacteristic
559C2×C22⋊D47C2×D411yescharacteristic
560C2×C22⋊D47C2×D411yescharacteristic
561C2×C22⋊D47C2×D411yescharacteristic
562C22×Dic47—21no—
563#10625354—22no—
564#10625354—22no—
565#10625354—41no—
566#10625354—41no—
567#10625354—44no—
568Q8×D47—22no—
569Q8×D47—22no—
570Q8×D47—41no—
571Q8×D47—41no—
572Q8×D47—41no—
573Q8×D47—41no—
574Q8×D47—44no—
575D4×D47—41no—
576D4×D47—41no—
577#10625350—41no—
578#10625350—41no—
579#10625350—41no—
580#10625350—41no—
581#10625350—41no—
582#10625350—41no—
583#10625350—44no—
584#10625350—44no—
585C2×D188—21no—
586C2×D188—21no—
587C2×D188—21no—
588C2×D188C2×D411yescharacteristic
589C2×D188C2411yescharacteristic
590C2×D188C2411yescharacteristic
591C2×C4×D47—21no—
592C2×C4×D47—21no—
593C2×C4×D47—21no—
594C2×C4×D47—21no—
595C2×C4×D47—21no—
596C2×C4×D47—21no—
597C2×C4×D47—21no—
598C2×C4×D47—21no—
599C2×C4×D47C2411yescharacteristic
600C2×C4×D47C2411yescharacteristic
601C2×Dic94—21no—
602C2×Dic94—21no—
603C2×Dic94—21no—
604C2×Dic94—21no—
605C2×Dic94—21no—
606C2×Dic94C2×D411yescharacteristic
607C2×Dic94C2411yescharacteristic
608C2×Dic94C2411yescharacteristic
609Q16×C47—22no—
610Q16×C47—22no—
611SD16×C47—22no—
612SD16×C47—22no—
613SD16×C47—41no—
614SD16×C47—41no—
615D8×C47—41no—
616D8×C47—41no—
617C2×C8×C47—41no—
618C2×C8×C47—41no—
619C2×C8×C47C2411yescharacteristic
620C2×C8×C47C2411yescharacteristic
621C2×C8×C47C2411yescharacteristic
622C2×C8×C47C2411yescharacteristic
623C4⋊C4×C47—21no—
624C4⋊C4×C47—21no—
625C4⋊C4×C47C2411yescharacteristic
626C4⋊C4×C47C2411yescharacteristic
627C22⋊C4×C47—21no—
628C22⋊C4×C47—21no—
629C22⋊C4×C47—21no—
630C22⋊C4×C47—21no—
631C22⋊C4×C47—21no—
632C42×C47—21no—
633C22⋊Dic47—21no—
634C22⋊Dic47—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⋊Dic47—21no—
647C22⋊Dic47—21no—
648C22⋊Dic47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47C2×D411yescharacteristic
652C22⋊Dic47C2×D411yescharacteristic
653C22⋊Dic47C2×D411yescharacteristic
654C22⋊Dic47C2×D411yescharacteristic
655C22⋊Dic47C2×D411yescharacteristic
656C22⋊Dic47C2×D411yescharacteristic
657#10625337—22no—
658#10625337—22no—
659#10625337—41no—
660#10625336—22no—
661#10625336—22no—
662#10625336—41no—
663#10625335—41no—
664#10625335—41no—
665#10625335—41no—
666#10625334—41no—
667#10625334—41no—
668#10625334—41no—
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)⋊C4C2×D411yescharacteristic
682(C2×D47)⋊C4C2×D411yescharacteristic
683(C2×D47)⋊C4C2×D411yescharacteristic
684(C2×D47)⋊C4C2×D411yescharacteristic
685C4⋊Dic47—21no—
686C4⋊Dic47—21no—
687C4⋊Dic47—21no—
688C4⋊Dic47—21no—
689C4⋊Dic47—21no—
690C4⋊Dic47—21no—
691C4⋊Dic47C2×D411yescharacteristic
692C4⋊Dic47C2×D411yescharacteristic
693C4⋊Dic47C2411yescharacteristic
694C4⋊Dic47C2411yescharacteristic
695C4⋊Dic47C2411yescharacteristic
696C4⋊Dic47C2411yescharacteristic
697Dic47⋊C4—21no—
698Dic47⋊C4—21no—
699Dic47⋊C4—21no—
700Dic47⋊C4—21no—
701Dic47⋊C4—21no—
702Dic47⋊C4—21no—
703Dic47⋊C4—21no—
704Dic47⋊C4—21no—
705Dic47⋊C4C2×D411yescharacteristic
706Dic47⋊C4C2×D411yescharacteristic
707Dic47⋊C4C2×D411yescharacteristic
708Dic47⋊C4C2×D411yescharacteristic
709C4×Dic47—21no—
710C4×Dic47—21no—
711C4×Dic47—21no—
712C4×Dic47—21no—
713C4×Dic47—21no—
714C4×Dic47—21no—
715C4×Dic47—21no—
716C4×Dic47—21no—
717C4×Dic47—21no—
718C4×Dic47—21no—
719C4×Dic47C2411yescharacteristic
720C4×Dic47C2411yescharacteristic
721C2×C47⋊C8—41no—
722C2×C47⋊C8—41no—
723C2×C47⋊C8C2411yescharacteristic
724C2×C47⋊C8C2411yescharacteristic
725C2×C47⋊C8C2411yescharacteristic
726C2×C47⋊C8C2411yescharacteristic
727Dic188—41no—
728D376—41no—
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—21no—
738C23×C47—41no—
739C23×C47—41no—
740C23×C47—41no—
741C23×C47—42no—
742C23×C47—81no—
743C23×C47—81no—
744C23×C47C22×D411yescharacteristic
745C23×C47C22×D411yescharacteristic
746C23×C47C22×D411yescharacteristic
747C22×D47—21no—
748C22×D47—21no—
749C22×D47—81no—
750C22×D47—81no—
751C22×D47—81no—
752C22×D47C22×D411yescharacteristic
753C22×D47C22×D411yescharacteristic
754Q8×C47—24no—
755Q8×C47—21no—
756Q8×C47—21no—
757Q8×C47—21no—
758Q8×C47—21no—
759Q8×C47H(5,𝔽2)12yes—
760Q8×C47H(5,𝔽2)12yes—
761D4×C47—21no—
762D4×C47—21no—
763D4×C47—21no—
764D4×C47—21no—
765D4×C47—21no—
766D4×C47—21no—
767D4×C47—42no—
768D4×C47—42no—
769D4×C47—42no—
770D4×C47—42no—
771D4×C47—42no—
772D4×C47—81no—
773D4×C47—81no—
774D4×C47—81no—
775C2×C4×C47—24no—
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—21no—
787C2×C4×C47—41no—
788C2×C4×C47—41no—
789C2×C4×C47—41no—
790C2×C4×C47—42no—
791C2×C4×C47—42no—
792C2×C4×C47—42no—
793C2×C4×C47—42no—
794C2×C4×C47—81no—
795C2×C4×C47C22×D411yescharacteristic
796C2×C4×C47C22×D411yescharacteristic
797C2×C4×C47C22×D411yescharacteristic
798C2×C4×C47C2511yescharacteristic
799C22⋊D47—41no—
800C22⋊D47—41no—
801C22⋊D47—41no—
802C22⋊D47—41no—
803C22⋊D47—41no—
804C22⋊D47—41no—
805C22⋊D47—42no—
806C22⋊D47—81no—
807C22⋊D47—81no—
808C22⋊D47—81no—
809C22⋊D47—81no—
810C22⋊D47—81no—
811C22⋊D47—81no—
812C22⋊D47—81no—
813C22⋊D47—81no—
814C22⋊D47—81no—
815C22⋊D47—81no—
816C22⋊D47—81no—
817C22⋊D47—81no—
818C22⋊D47—81no—
819C22⋊D47—81no—
820C22⋊D47—81no—
821C2×Dic47—21no—
822C2×Dic47—21no—
823C2×Dic47—21no—
824C2×Dic47—21no—
825C2×Dic47—21no—
826C2×Dic47—21no—
827C2×Dic47—81no—
828C2×Dic47C22×D411yescharacteristic
829C2×Dic47C22×D411yescharacteristic
830C2×Dic47C22×D411yescharacteristic
831C2×Dic47C22×D411yescharacteristic
832C2×Dic47C22×D411yescharacteristic
833C2×Dic47C22×D411yescharacteristic
834D188—21no—
835D188—21no—
836D188—21no—
837D188—21no—
838D188—41no—
839D188—42no—
840D188—42no—
841D188—81no—
842C4×D47—21no—
843C4×D47—21no—
844C4×D47—21no—
845C4×D47—21no—
846C4×D47—42no—
847C4×D47—42no—
848C4×D47—42no—
849C4×D47—42no—
850C4×D47—42no—
851C4×D47—81no—
852C4×D47—81no—
853C4×D47—81no—
854Dic94—21no—
855Dic94—21no—
856Dic94—21no—
857Dic94—21no—
858Dic94—41no—
859Dic94—42no—
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#61638—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—41no—
889C22×C47—41no—
890C22×C47—41no—
891C22×C47—82no—
892C22×C47—84no—
893C22×C47C23×D411yescharacteristic
894C2×D47—21no—
895C2×D47—21no—
896C2×D47—21no—
897C2×D47—21no—
898C2×D47—21no—
899C2×D47—21no—
900C2×D47—41no—
901C2×D47—41no—
902C2×D47—41no—
903C2×D47—41no—
904C2×D47—41no—
905C2×D47—41no—
906C2×D47—162no—
907C4×C47—22no—
908C4×C47—22no—
909C4×C47—21no—
910C4×C47—21no—
911C4×C47—21no—
912C4×C47—41no—
913C4×C47—41no—
914C4×C47—41no—
915C4×C47C2×H(5,𝔽2)11yescharacteristic
916C4×C47C2×H(5,𝔽2)11yescharacteristic
917Dic47—21no—
918Dic47—21no—
919Dic47—21no—
920Dic47—21no—
921Dic47—21no—
922Dic47—21no—
923Dic47—41no—
924Dic47—41no—
925Dic47—41no—
926Dic47—41no—
927Dic47—41no—
928Dic47—41no—
929#3540—471no—
930#3487—471no—
931#3321—471no—
932#3321—471no—
933#3313—471no—
934#3313—471no—
935#3305—471no—
936#3305—471no—
937#3304—471no—
938#3304—471no—
939#3285—471no—
940#3285—471no—
941#3282—471no—
942#3282—471no—
943#3271—471no—
944#3271—471no—
945#3268—471no—
946#3268—471no—
947#3224—471no—
948#3224—471no—
949#3200—471no—
950#3199—471no—
951#3191—471no—
952#3191—471no—
953#3121—471no—
954#3121—471no—
955#3011—471no—
956#3010—471no—
957#3002—471no—
958#3002D4711yescharacteristic, complemented
959#2977—471no—
960C2×C47—41no—
961C2×C47—41no—
962C2×C47—41no—
963C2×C47—81no—
964C2×C47—81no—
965C2×C47—81no—
966C2×C47#348411yescharacteristic
967C2×C47#358411yescharacteristic
968C2×C47#358411yescharacteristic
969D47—41no—
970D47—41no—
971D47—81no—
972D47—81no—
973C2×2−1+4—471no—
974C22×#41C2×D4711yescharacteristic, complemented
975C2×#137—471no—
976C2×AGL(1,ℤ/8)—471no—
977C2×#135—471no—
978C2×#135—471no—
979C2×#135C2×D4711yescharacteristic
980C2×#135C2×D4711yescharacteristic
981C22×Q16—471no—
982C22×SD16—471no—
983H(3,𝔽4)—941no—
984#560—941no—
985#559—941no—
986#556—471no—
987#556—471no—
988#555—471no—
989#555—471no—
990#551—941no—
991#550—471no—
992#550—471no—
993#550—471no—
994#550—471no—
995#550—941no—
996#550—941no—
997#548—471no—
998#548—471no—
999#548—471no—
1000#548—471no—
1001#548—471no—
1002#548—471no—
1003#548—941no—
1004#548—941no—
1005#546—471no—
1006#546—471no—
1007#542—471no—
1008#542—471no—
1009#542—941no—
1010#542—941no—
1011#538—941no—
1012#538—941no—
1013#536—471no—
1014#535—471no—
1015#535—471no—
1016#535—471no—
1017#535—941no—
1018#535—941no—
1019#525—471no—
1020#525—471no—
1021#525—471no—
1022#525—941no—
1023#525—941no—
1024#525C2×D4711yescharacteristic
1025#519—471no—
1026#496—471no—
1027#496—471no—
1028#495—471no—
1029#495—471no—
1030#489—471no—
1031#489—471no—
1032#486—471no—
1033#486—471no—
1034#485—471no—
1035#485—471no—
1036#485—471no—
1037#485—471no—
1038#482—471no—
1039#482—471no—
1040#482—471no—
1041#482—471no—
1042#482—471no—
1043#482—471no—
1044#482—471no—
1045#482—471no—
1046#477—471no—
1047#477—471no—
1048#475—471no—
1049#475—471no—
1050#469—471no—
1051#469—471no—
1052#468—471no—
1053#468—471no—
1054#467—471no—
1055#467—471no—
1056#466—471no—
1057#466—471no—
1058#466—471no—
1059#466—471no—
1060#465—471no—
1061#465—471no—
1062#465—471no—
1063#465—471no—
1064#465—471no—
1065#465—471no—
1066#464—471no—
1067#464—471no—
1068#464—471no—
1069#464—471no—
1070#464—471no—
1071#464—471no—
1072#463—471no—
1073#463—471no—
1074#460—471no—
1075#460—471no—
1076#459—471no—
1077#459—471no—
1078#452—471no—
1079#452—471no—
1080#452—471no—
1081#452—471no—
1082#452—471no—
1083#452—471no—
1084#452—471no—
1085#452—471no—
1086#452C2×D4711yescharacteristic, complemented
1087#452C2×D4711yescharacteristic, complemented
1088#451—471no—
1089#451—471no—
1090#451—471no—
1091#451C2×D4711yescharacteristic, complemented
1092#450—471no—
1093#450C2×D4711yescharacteristic, complemented
1094#449—471no—
1095#449—471no—
1096#449—471no—
1097#449—471no—
1098#449—471no—
1099#449—471no—
1100#449—471no—
1101#449—471no—
1102#449C2×D4711yescharacteristic
1103#449C2×D4711yescharacteristic
1104#448—471no—
1105#448—471no—
1106#448—471no—
1107#448—471no—
1108#448—471no—
1109#448C2×D4711yescharacteristic
1110#447—471no—
1111#447—471no—
1112#447—471no—
1113#447C2×D4711yescharacteristic
1114#441—471no—
1115#441—471no—
1116#440—471no—
1117#440—471no—
1118C4×Q16—471no—
1119C4×Q16—471no—
1120C4×SD16—471no—
1121C4×SD16—471no—
1122#435—471no—
1123#435—471no—
1124#435—471no—
1125#435—471no—
1126C8×D4—471no—
1127C8×D4—471no—
1128C8×D4—471no—
1129C8×D4—471no—
1130#433—471no—
1131#433—471no—
1132#419—471no—
1133#419—471no—
1134#416—471no—
1135#416—471no—
1136#416—471no—
1137#416—471no—
1138#416C2×D4711yescharacteristic, complemented
1139#416C2×D4711yescharacteristic, complemented
1140#408—471no—
1141#408—471no—
1142C2×C22⋊C8—471no—
1143C2×C22⋊C8C2×D4711yescharacteristic, complemented
1144C47#6163811yescharacteristic, complemented, Sylow
11452−1+4—1882no—
11462−1+4—1882no—
1147C2×#41—21no—
1148C2×#41—21no—
1149C2×#41—42no—
1150C2×#41—42no—
1151C2×#41—471no—
1152C2×#41—471no—
1153C2×#41—471no—
1154C2×#41—471no—
1155C2×#41—471no—
1156C2×#41—941no—
1157C2×#41—941no—
1158C2×#41—941no—
1159C2×#41C22×D4711yescharacteristic
1160C2×#41C22×D4711yescharacteristic
1161C2×#41C22×D4711yescharacteristic
1162C2×#41C22×D4711yescharacteristic
1163C2×#41C22×D4711yescharacteristic
1164C22×Q8—471no—
1165C22×Q8—471no—
1166C22×Q8—471no—
1167C22×Q8—941no—
1168C22×Q8C22×D4711yescharacteristic
1169C22×D4—21no—
1170C22×D4—471no—
1171C22×D4C22×D4711yescharacteristic
1172C23×C4—21no—
1173C23×C4C22×D4711yescharacteristic
1174#137—1882no—
1175AGL(1,ℤ/8)—1882no—
1176#135—42no—
1177#135—42no—
1178#135—1882no—
1179#135—1882no—
1180C2×Q16—471no—
1181C2×Q16—471no—
1182C2×Q16—471no—
1183C2×Q16—471no—
1184C2×Q16—1882no—
1185C2×Q16C22×D4711yescharacteristic
1186C2×Q16C22×D4711yescharacteristic
1187C2×SD16—471no—
1188C2×SD16—471no—
1189C2×SD16—471no—
1190C2×SD16—471no—
1191C2×SD16—471no—
1192C2×SD16—471no—
1193C2×SD16—471no—
1194C2×SD16—471no—
1195C2×SD16—1882no—
1196C2×SD16C22×D4711yescharacteristic
1197C2×SD16C22×D4711yescharacteristic
1198C2×SD16C22×D4711yescharacteristic
1199C2×SD16C22×D4711yescharacteristic
1200C2×D8—471no—
1201C2×D8—471no—
1202C2×D8—471no—
1203C2×D8—471no—
1204C2×D8C22×D4711yescharacteristic
1205C2×D8C22×D4711yescharacteristic
1206C2×M16—471no—
1207C2×M16—471no—
1208C22×C8—471no—
1209C22×C8—471no—
1210C22×C8—471no—
1211C22×C8—471no—
1212C22×C8C22×D4711yescharacteristic
1213C22×C8C22×D4711yescharacteristic
1214C4⋊Q8—471no—
1215C4⋊Q8—471no—
1216C4⋊Q8—941no—
1217#127—471no—
1218#127—471no—
1219#127—941no—
1220#127—941no—
1221#127—941no—
1222#127—941no—
1223#127—941no—
1224#127—941no—
1225#126—941no—
1226#126—941no—
1227#126—941no—
1228#126—941no—
1229#126—941no—
1230#126—941no—
1231#124—471no—
1232#124—471no—
1233#124—471no—
1234#124—471no—
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#124—941no—
1247#124—941no—
1248#124—941no—
1249#124—941no—
1250#124—941no—
1251#124—941no—
1252#123—21no—
1253#123—471no—
1254#123—471no—
1255#123—941no—
1256#123—941no—
1257#123—941no—
1258#123—941no—
1259#123—941no—
1260#123—941no—
1261#123—941no—
1262#123—941no—
1263C22⋊Q8—471no—
1264C22⋊Q8—471no—
1265C22⋊Q8—471no—
1266C22⋊Q8—471no—
1267C22⋊Q8—471no—
1268C22⋊Q8—471no—
1269C22⋊Q8—471no—
1270C22⋊Q8—471no—
1271C22⋊Q8—941no—
1272C22⋊Q8—941no—
1273C22⋊Q8—941no—
1274C22⋊Q8—941no—
1275C22⋊Q8—941no—
1276C22⋊Q8—941no—
1277C22⋊Q8—941no—
1278C22⋊Q8—941no—
1279C22⋊Q8C22×D4711yescharacteristic
1280C22⋊Q8C22×D4711yescharacteristic
1281#121—471no—
1282#121—471no—
1283#121—471no—
1284#121—471no—
1285#121—471no—
1286#121—471no—
1287#121—471no—
1288#121—471no—
1289#121—471no—
1290#121—471no—
1291#121—471no—
1292#121—471no—
1293#121—941no—
1294#121—941no—
1295#121—941no—
1296#121—941no—
1297#121—941no—
1298#121—941no—
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#120—21no—
1316#120—471no—
1317#120—471no—
1318#120—941no—
1319#120—941no—
1320#120—941no—
1321#120—941no—
1322#120—941no—
1323#120—941no—
1324#120—941no—
1325#120—941no—
1326#120—941no—
1327#120—941no—
1328C4×Q8—471no—
1329C4×Q8—471no—
1330C4×Q8—471no—
1331C4×Q8—471no—
1332C4×Q8—471no—
1333C4×Q8—471no—
1334C4×Q8—941no—
1335C4×Q8—941no—
1336C4×Q8—941no—
1337C4×Q8—941no—
1338C4×D4—21no—
1339C4×D4—21no—
1340C4×D4—471no—
1341C4×D4—471no—
1342C4×D4—471no—
1343C4×D4—471no—
1344C4×D4—471no—
1345C4×D4—471no—
1346C4×D4—941no—
1347C4×D4—941no—
1348C4×D4—941no—
1349C4×D4—941no—
1350C4×D4—941no—
1351C4×D4—941no—
1352C4×D4—941no—
1353C4×D4—941no—
1354C4×D4—941no—
1355C4×D4—941no—
1356C4×D4—941no—
1357C4×D4—941no—
1358C4×D4—941no—
1359C4×D4—941no—
1360#117—471no—
1361#117—471no—
1362#117—471no—
1363#117—471no—
1364#117—471no—
1365#117—941no—
1366#117—941no—
1367#117—941no—
1368#117—941no—
1369#117C22×D4711yescharacteristic
1370C2×C22⋊C4—941no—
1371C2×C22⋊C4—941no—
1372#107—471no—
1373#107—471no—
1374#107—471no—
1375#107—471no—
1376#106—471no—
1377#106—471no—
1378#106—471no—
1379#106—471no—
1380C4⋊C8—471no—
1381C4⋊C8—471no—
1382C4⋊C8—471no—
1383C4⋊C8—471no—
1384#103—471no—
1385#103—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#103C22×D4711yescharacteristic
1397#103C22×D4711yescharacteristic
1398#103C22×D4711yescharacteristic
1399#103C22×D4711yescharacteristic
1400#102—471no—
1401#102—471no—
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#102C22×D4711yescharacteristic
1413#102C22×D4711yescharacteristic
1414#102C22×D4711yescharacteristic
1415#102C22×D4711yescharacteristic
1416C22⋊C8—471no—
1417C22⋊C8—471no—
1418C22⋊C8—471no—
1419C22⋊C8—471no—
1420C22⋊C8—471no—
1421C22⋊C8—471no—
1422C22⋊C8—471no—
1423C22⋊C8—471no—
1424C22⋊C8C22×D4711yescharacteristic
1425C22⋊C8C22×D4711yescharacteristic
1426C22⋊C8C22×D4711yescharacteristic
1427C22⋊C8C22×D4711yescharacteristic
1428#97—471no—
1429#97—471no—
1430C4×C8—471no—
1431C4×C8—471no—
1432C24—21no—
1433C24—941no—
1434C24D4×D4711yescharacteristic
1435#41—22no—
1436#41—22no—
1437#41—22no—
1438#41—22no—
1439#41—41no—
1440#41—41no—
1441#41—41no—
1442#41—41no—
1443#41—41no—
1444#41—41no—
1445#41—44no—
1446#41—44no—
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—1884no—
1456#41—1884no—
1457#41—1881no—
1458#41—1881no—
1459#41—1884no—
1460C2×Q8—22no—
1461C2×Q8—22no—
1462C2×Q8—21no—
1463C2×Q8—471no—
1464C2×Q8—471no—
1465C2×Q8—471no—
1466C2×Q8—941no—
1467C2×Q8—941no—
1468C2×Q8—941no—
1469C2×Q8—941no—
1470C2×Q8—941no—
1471C2×Q8—942no—
1472C2×Q8—942no—
1473C2×Q8—1881no—
1474C2×Q8—1881no—
1475C2×Q8—1881no—
1476C2×Q8—1881no—
1477C2×Q8—1884no—
1478C2×Q8C23×D4711yescharacteristic
1479C2×Q8C23×D4711yescharacteristic
1480C2×Q8C23×D4711yescharacteristic
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—41no—
1490C2×D4—41no—
1491C2×D4—44no—
1492C2×D4—471no—
1493C2×D4—471no—
1494C2×D4—471no—
1495C2×D4—471no—
1496C2×D4—471no—
1497C2×D4—471no—
1498C2×D4—471no—
1499C2×D4—471no—
1500C2×D4—471no—
1501C2×D4—941no—
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—941no—
1512C2×D4—941no—
1513C2×D4—941no—
1514C2×D4—941no—
1515C2×D4—941no—
1516C2×D4—941no—
1517C2×D4—941no—
1518C2×D4—941no—
1519C2×D4—941no—
1520C2×D4—1881no—
1521C2×D4—1881no—
1522C2×D4C23×D4711yescharacteristic
1523C2×D4C23×D4711yescharacteristic
1524C2×D4C23×D4711yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—41no—
1532C22×C4—41no—
1533C22×C4—44no—
1534C22×C4—471no—
1535C22×C4—471no—
1536C22×C4—941no—
1537C22×C4—941no—
1538C22×C4—941no—
1539C22×C4—941no—
1540C22×C4—941no—
1541C22×C4—941no—
1542C22×C4—941no—
1543C22×C4—941no—
1544C22×C4—941no—
1545C22×C4D4×D4711yescharacteristic
1546C22×C4D4×D4711yescharacteristic
1547C22×C4D4×D4711yescharacteristic
1548C22×C4C23×D4711yescharacteristic
1549C22×C4C23×D4711yescharacteristic
1550C22×C4C23×D4711yescharacteristic
1551Q16—22no—
1552Q16—22no—
1553Q16—942no—
1554Q16—942no—
1555Q16—1881no—
1556Q16—1881no—
1557SD16—22no—
1558SD16—22no—
1559SD16—41no—
1560SD16—41no—
1561SD16—942no—
1562SD16—942no—
1563SD16—1881no—
1564SD16—1881no—
1565SD16—1881no—
1566SD16—1881no—
1567SD16—1881no—
1568SD16—1881no—
1569D8—41no—
1570D8—41no—
1571D8—1881no—
1572D8—1881no—
1573D8—1881no—
1574D8—1881no—
1575M16—1881no—
1576M16—1881no—
1577C2×C8—41no—
1578C2×C8—41no—
1579C2×C8—471no—
1580C2×C8—471no—
1581C2×C8—471no—
1582C2×C8—471no—
1583C2×C8—1881no—
1584C2×C8—1881no—
1585C2×C8—1881no—
1586C2×C8—1881no—
1587C2×C8C23×D4711yescharacteristic
1588C2×C8C23×D4711yescharacteristic
1589C2×C8C23×D4711yescharacteristic
1590C2×C8C23×D4711yescharacteristic
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—471no—
1602C4⋊C4—471no—
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
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—471no—
1625C22⋊C4—471no—
1626C22⋊C4—471no—
1627C22⋊C4—471no—
1628C22⋊C4—471no—
1629C22⋊C4—471no—
1630C22⋊C4—471no—
1631C22⋊C4—471no—
1632C22⋊C4—471no—
1633C22⋊C4—471no—
1634C22⋊C4—941no—
1635C22⋊C4—941no—
1636C22⋊C4—941no—
1637C22⋊C4—941no—
1638C22⋊C4—941no—
1639C22⋊C4—941no—
1640C22⋊C4—941no—
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—
1664C42—21no—
1665C42—471no—
1666C42—471no—
1667C42—941no—
1668C42—941no—
1669C42—941no—
1670C42—941no—
1671C42—941no—
1672C42—941no—
1673C42—941no—
1674C42—941no—
1675C42—941no—
1676C42—941no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—41no—
1681C23—41no—
1682C23—41no—
1683C23—42no—
1684C23—81no—
1685C23—81no—
1686C23—471no—
1687C23—471no—
1688C23—941no—
1689C23—941no—
1690C23—3761no—
1691C23—3761no—
1692C23—3761no—
1693C23C2×D4×D4711yescharacteristic
1694C23C2×D4×D4711yescharacteristic
1695C23C2×D4×D4711yescharacteristic
1696Q8—24no—
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—941no—
1702Q8—941no—
1703Q8—941no—
1704Q8—941no—
1705Q8—3761no—
1706Q8—3761no—
1707Q8—3761no—
1708Q8—1881no—
1709Q8—1882no—
1710Q8—1882no—
1711Q8#1309406912yes—
1712Q8#1309406912yes—
1713D4—21no—
1714D4—21no—
1715D4—21no—
1716D4—21no—
1717D4—21no—
1718D4—21no—
1719D4—42no—
1720D4—42no—
1721D4—42no—
1722D4—42no—
1723D4—42no—
1724D4—81no—
1725D4—81no—
1726D4—81no—
1727D4—941no—
1728D4—941no—
1729D4—941no—
1730D4—941no—
1731D4—3761no—
1732D4—3761no—
1733D4—3761no—
1734D4—3761no—
1735D4—3761no—
1736D4—3761no—
1737D4—3761no—
1738D4—3761no—
1739D4—3761no—
1740D4—3761no—
1741D4—3761no—
1742D4—3761no—
1743D4—3761no—
1744D4—3761no—
1745D4—3761no—
1746D4—3761no—
1747D4—1881no—
1748D4—1882no—
1749D4—1882no—
1750D4—1881no—
1751D4—1881no—
1752D4—1881no—
1753D4—1881no—
1754D4—1881no—
1755D4—1881no—
1756D4—1882no—
1757C2×C4—24no—
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—42no—
1774C2×C4—42no—
1775C2×C4—42no—
1776C2×C4—81no—
1777C2×C4—471no—
1778C2×C4—471no—
1779C2×C4—471no—
1780C2×C4—471no—
1781C2×C4—471no—
1782C2×C4—471no—
1783C2×C4—941no—
1784C2×C4—941no—
1785C2×C4—941no—
1786C2×C4—941no—
1787C2×C4—941no—
1788C2×C4—941no—
1789C2×C4—941no—
1790C2×C4—941no—
1791C2×C4—941no—
1792C2×C4—941no—
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×C4C2×D4×D4711yescharacteristic
1803C2×C4C2×D4×D4711yescharacteristic
1804C2×C4C2×D4×D4711yescharacteristic
1805C2×C4C24×D4711yescharacteristic
1806C8—21no—
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—941no—
1811C8—941no—
1812C8—941no—
1813C8—941no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—82no—
1833C22—84no—
1834C22—941no—
1835C22—941no—
1836C22—941no—
1837C22—941no—
1838C22—941no—
1839C22—941no—
1840C22—1881no—
1841C22—1881no—
1842C22—1881no—
1843C22—1881no—
1844C22—1881no—
1845C22—1881no—
1846C22—7522no—
1847C22C22×D4×D4711yescharacteristic
1848C4—22no—
1849C4—22no—
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—941no—
1857C4—941no—
1858C4—941no—
1859C4—941no—
1860C4—941no—
1861C4—941no—
1862C4—1881no—
1863C4—1881no—
1864C4—1881no—
1865C4—1881no—
1866C4—1881no—
1867C4—1881no—
1868C4C2×#1309406911yescharacteristic
1869C4C2×#1309406911yescharacteristic
1870C2—41no—
1871C2—41no—
1872C2—41no—
1873C2—81no—
1874C2—81no—
1875C2—81no—
1876C2—3761no—
1877C2—3761no—
1878C2—1881no—
1879C2—1881no—
1880C2#2025701711yescharacteristic
1881C2#2025815711yescharacteristic
1882C2#2025816111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3002C2
socleC22×C47C23×D4
hypercenter#3002D47
hypocenterC47#61638
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3002

Complements

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

NH ≅ G/Ntype
1. #20257656C2semidirect
2. #20257046C2semidirect
3. #20255578C2semidirect
4. #20255570C2semidirect
5. #20255458C2semidirect
6. #20255450C2semidirect
7. #20255334C2semidirect
8. #20255331C2semidirect
9. #20255323C2semidirect
10. #20255320C2semidirect
11. #20255127C2semidirect
12. #20255123C2semidirect
13. #20255098C2semidirect
14. #20255089C2semidirect
15. #20254977C2semidirect
16. #20254973C2semidirect
17. #20254928C2semidirect
18. #20254921C2semidirect
19. #20254486C2semidirect
20. #20254478C2semidirect
21. #20254257C2semidirect
22. #20254251C2semidirect
23. #20254181C2semidirect
24. #20254176C2semidirect
25. #20253618C2semidirect
26. #20253610C2semidirect
27. #20252678C2semidirect
28. #20252669C2semidirect
29. #20252606C2semidirect
30. #20252442C2semidirect
31. C47×#3002C2semidirect
33. C2×#13094056C22semidirect
34. C2×#13094051C22semidirect
37. C2×Q16×D47C22semidirect
38. C2×SD16×D47C22semidirect
42. #15689844C22semidirect
43. #15689841C22semidirect
44. #15689837C22semidirect
45. #15689836C22semidirect
51. #15689792C22semidirect
52. #15689792C22semidirect
53. #15689783C22semidirect
58. #15689780C22semidirect
59. #15689780C22semidirect
60. #15689780C22semidirect
61. #15689770C22semidirect
62. #15689761C22semidirect
73. #15689690C22semidirect
79. #15689634C22semidirect
80. #15689601C22semidirect
81. #15689511C22semidirect
82. #15689509C22semidirect
83. #15689506C22semidirect
84. #15689504C22semidirect
85. #15689481C22semidirect
86. #15689481C22semidirect
87. #15689468C22semidirect
88. #15689468C22semidirect
89. #15689465C22semidirect
90. #15689465C22semidirect
91. #15689464C22semidirect
92. #15689461C22semidirect
94. #15689448C22semidirect
95. #15689447C22semidirect
96. #15689446C22semidirect
97. #15689446C22semidirect
98. #15689445C22semidirect
99. #15689445C22semidirect
101. #15689416C22semidirect
102. #15689416C22semidirect
103. #15689406C22semidirect
104. #15689406C22semidirect
105. #15689375C22semidirect
106. #15689373C22semidirect
107. #15689368C22semidirect
108. #15689366C22semidirect
109. #15689364C22semidirect
110. #15689362C22semidirect
111. #15689359C22semidirect
112. #15689358C22semidirect
113. #15689357C22semidirect
114. #15689356C22semidirect
115. #15689354C22semidirect
116. #15689352C22semidirect
117. #15689352C22semidirect
118. #15689351C22semidirect
119. #15689350C22semidirect
120. #15689349C22semidirect
121. #15689347C22semidirect
122. #15689347C22semidirect
123. #15689344C22semidirect
124. #15689343C22semidirect
125. #15689343C22semidirect
126. #15689343C22semidirect
127. #15689337C22semidirect
128. #15689336C22semidirect
129. #15689322C22semidirect
130. #15689321C22semidirect
131. #15689317C22semidirect
132. #15689316C22semidirect
133. #15689288C22semidirect
134. #15689287C22semidirect
135. #15689287C22semidirect
136. #15689285C22semidirect
137. #15689285C22semidirect
138. #15689285C22semidirect
139. #15689284C22semidirect
140. #15689283C22semidirect
141. #15689280C22semidirect
142. #15689279C22semidirect
143. #15689277C22semidirect
144. #15689274C22semidirect
145. #15689271C22semidirect
147. #15689270C22semidirect
150. #15689268C22semidirect
151. #15689267C22semidirect
153. #15689263C22semidirect
155. #15689260C22semidirect
156. #15689260C22semidirect
157. #15689260C22semidirect
159. #15689255C22semidirect
160. #15689255C22semidirect
161. #15689230C22semidirect
162. #15689227C22semidirect
163. #15689226C22semidirect
164. #15689224C22semidirect
165. Q16×Dic47C22semidirect
166. #15689215C22semidirect
167. SD16×Dic47C22semidirect
168. #15689208C22semidirect
169. #15689194C22semidirect
170. #15689194C22semidirect
171. #15689191C22semidirect
172. #15689191C22semidirect
173. C8×C22⋊D47C22semidirect
174. C8×C22⋊D47C22semidirect
175. (C22⋊D47)⋊C8C22semidirect
176. (C22⋊D47)⋊C8C22semidirect
177. #15689181C22semidirect
178. #15689181C22semidirect
179. #15689130C22semidirect
180. #15689130C22semidirect
181. #15689119C22semidirect
182. #15689119C22semidirect
183. #15689118C22semidirect
184. #15689118C22semidirect
187. C2×C22⋊(C47⋊C8)C22semidirect
188. C22×#41×C47C22semidirect
192. C47×#452C22semidirect
193. C47×#452C22semidirect
194. C47×#451C22semidirect
195. C47×#450C22semidirect
200. C47×#416C22semidirect
201. C47×#416C22semidirect
202. C2×C22⋊C8×C47C22semidirect
958. #3002D47semidirect
974. C22×#41C2×D47semidirect
1086. #452C2×D47semidirect
1087. #452C2×D47semidirect
1091. #451C2×D47semidirect
1093. #450C2×D47semidirect
1138. #416C2×D47semidirect
1139. #416C2×D47semidirect
1143. C2×C22⋊C8C2×D47semidirect
1144. C47#61638semidirect

Maximal subgroups

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

subgroupindex
#202576562
#202570462
#202555782
#202555702
#202554582
#202554502
#202553342
#202553312
#202553232
#202553202
#202551272
#202551232
#202550982
#202550892
#202549772
#202549732
#202549282
#202549212
#202544862
#202544782
#202542572
#202542512
#202541812
#202541762
#202536182
#202536102
#202526782
#202526692
#202526062
#202524422
C47×#30022
#6163847