Finite Group Databasebeta

← #27102452

Subgroups — #27102452

Order 12032.

2074 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257656C211yesmaximal, characteristic, complemented
2#20257032C211yesmaximal, characteristic, complemented
3#20255548C211yesmaximal, characteristic, complemented
4#20255540C211yesmaximal, characteristic, complemented
5#20255428C211yesmaximal, characteristic, complemented
6#20255420C211yesmaximal, characteristic, complemented
7#20255312C211yesmaximal, characteristic, complemented
8#20255309C211yesmaximal, characteristic, complemented
9#20255301C211yesmaximal, characteristic, complemented
10#20255298C211yesmaximal, characteristic, complemented
11#20255093C211yesmaximal, characteristic, complemented
12#20255089C211yesmaximal, characteristic, complemented
13#20255071C211yesmaximal, characteristic, complemented
14#20255067C211yesmaximal, characteristic, complemented
15#20254947C211yesmaximal, characteristic, complemented
16#20254943C211yesmaximal, characteristic, complemented
17#20254913C211yesmaximal, characteristic, complemented
18#20254906C211yesmaximal, characteristic, complemented
19#20254503C211yesmaximal, characteristic, complemented
20#20254495C211yesmaximal, characteristic, complemented
21#20254281C211yesmaximal, characteristic, complemented
22#20254258C211yesmaximal, characteristic, complemented
23#20254181C211yesmaximal, characteristic, complemented
24#20254176C211yesmaximal, characteristic, complemented
25#20253573C211yesmaximal, characteristic, complemented
26#20253565C211yesmaximal, characteristic, complemented
27#20252660C211yesmaximal, characteristic, complemented
28#20252651C211yesmaximal, characteristic, complemented
29#20252606C211yesmaximal, characteristic, complemented
30#20252442C211yesmaximal, characteristic, complemented
31C47×#3002C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic
33C2×#13094053C2211yescharacteristic, complemented
34C2×#13094048C2211yescharacteristic, complemented
35C2×#13094044C2211yescharacteristic, complemented
36C2×#13094044C2211yescharacteristic, complemented
37C2×SD16×D47C2211yescharacteristic, complemented
38C2×D8×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#15689783C2211yescharacteristic, complemented
48#15689780C2211yescharacteristic, complemented
49#15689772—21no—
50#15689772—21no—
51#15689772C2211yescharacteristic
52#15689772C2211yescharacteristic
53#15689772C2211yescharacteristic, complemented
54#15689772C2211yescharacteristic, complemented
55#15689770C2211yescharacteristic, complemented
56#15689761—21no—
57#15689761—21no—
58#15689761C2211yescharacteristic
59#15689761C2211yescharacteristic
60#15689761C2211yescharacteristic, complemented
61#15689761C2211yescharacteristic, complemented
62#15689761C2211yescharacteristic, complemented
63#15689746C2211yescharacteristic, complemented
64#15689741—21no—
65#15689740C2211yescharacteristic, complemented
66#15689738—21no—
67#15689709—21no—
68#15689706—21no—
69#15689697C2211yescharacteristic
70#15689697C2211yescharacteristic, complemented
71#15689696C2211yescharacteristic
72#15689689C2211yescharacteristic
73#15689682—21no—
74#15689682—21no—
75#15689634C2211yescharacteristic
76#15689634C2211yescharacteristic, complemented
77#15689634C2211yescharacteristic, complemented
78C2×#13094007—21no—
79C2×#13094007—21no—
80#15689598C2211yescharacteristic, complemented
81#15689516C2211yescharacteristic, complemented
82#15689514C2211yescharacteristic, complemented
83#15689508C2211yescharacteristic, complemented
84#15689504C2211yescharacteristic, complemented
85#15689484C2211yescharacteristic, complemented
86#15689484C2211yescharacteristic, complemented
87#15689472C2211yescharacteristic, complemented
88#15689472C2211yescharacteristic, complemented
89#15689465C2211yescharacteristic, complemented
90#15689465C2211yescharacteristic, complemented
91#15689464C2211yescharacteristic, complemented
92#15689463C2211yescharacteristic, complemented
93#15689463C2211yescharacteristic, complemented
94#15689462C2211yescharacteristic, complemented
95#15689462C2211yescharacteristic, complemented
96#15689461C2211yescharacteristic, complemented
97#15689448C2211yescharacteristic, complemented
98#15689448C2211yescharacteristic, complemented
99#15689447C2211yescharacteristic, complemented
100#15689444C2211yescharacteristic, complemented
101#15689411C2211yescharacteristic, complemented
102#15689411C2211yescharacteristic, complemented
103#15689401C2211yescharacteristic, complemented
104#15689401C2211yescharacteristic, complemented
105#15689380C2211yescharacteristic, complemented
106#15689378C2211yescharacteristic, complemented
107#15689372C2211yescharacteristic, complemented
108#15689366C2211yescharacteristic, complemented
109#15689364C2211yescharacteristic, complemented
110#15689363C2211yescharacteristic, complemented
111#15689362C2211yescharacteristic, complemented
112#15689361C2211yescharacteristic, complemented
113#15689359C2211yescharacteristic, complemented
114#15689357C2211yescharacteristic, complemented
115#15689355C2211yescharacteristic, complemented
116#15689354C2211yescharacteristic, complemented
117#15689352C2211yescharacteristic, complemented
118#15689352C2211yescharacteristic, complemented
119#15689350C2211yescharacteristic, complemented
120#15689349C2211yescharacteristic, complemented
121#15689348C2211yescharacteristic, complemented
122#15689347C2211yescharacteristic, complemented
123#15689341C2211yescharacteristic, complemented
124#15689340C2211yescharacteristic, complemented
125#15689340C2211yescharacteristic, complemented
126#15689340C2211yescharacteristic, complemented
127#15689336C2211yescharacteristic, complemented
128#15689336C2211yescharacteristic, complemented
129#15689332C2211yescharacteristic, complemented
130#15689331C2211yescharacteristic, complemented
131#15689327C2211yescharacteristic, complemented
132#15689326C2211yescharacteristic, complemented
133#15689287C2211yescharacteristic, complemented
134#15689287C2211yescharacteristic, complemented
135#15689286C2211yescharacteristic, complemented
136#15689285C2211yescharacteristic, complemented
137#15689285C2211yescharacteristic, complemented
138#15689285C2211yescharacteristic, complemented
139#15689283C2211yescharacteristic, complemented
140#15689282C2211yescharacteristic, complemented
141#15689279C2211yescharacteristic, complemented
142#15689277C2211yescharacteristic, complemented
143#15689277C2211yescharacteristic, complemented
144#15689275C2211yescharacteristic, complemented
145#15689274C2211yescharacteristic, complemented
146#15689272C2211yescharacteristic, complemented
147#15689272C2211yescharacteristic, complemented
148#15689272C2211yescharacteristic, complemented
149#15689270C2211yescharacteristic
150#15689270C2211yescharacteristic, complemented
151#15689269C2211yescharacteristic, complemented
152#15689268C2211yescharacteristic, complemented
153#15689268C2211yescharacteristic, complemented
154#15689268C2211yescharacteristic, complemented
155#15689266C2211yescharacteristic
156#15689265C2211yescharacteristic, complemented
157#15689262C2211yescharacteristic, complemented
158#15689258C2211yescharacteristic, complemented
159#15689257C2211yescharacteristic
160#15689255C2211yescharacteristic, complemented
161#15689235C2211yescharacteristic, complemented
162#15689232C2211yescharacteristic, complemented
163#15689224C2211yescharacteristic, complemented
164#15689220C2211yescharacteristic, complemented
165#15689214C2211yescharacteristic, complemented
166SD16×Dic47C2211yescharacteristic, complemented
167D8×Dic47C2211yescharacteristic, complemented
168#15689203C2211yescharacteristic, 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#15689126C2211yescharacteristic, complemented
180#15689126C2211yescharacteristic, complemented
181#15689119C2211yescharacteristic, complemented
182#15689119C2211yescharacteristic, complemented
183#15689116C2211yescharacteristic, complemented
184#15689116C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic
186#15689088C2211yescharacteristic
187C2×C22⋊(C47⋊C8)C2211yescharacteristic, complemented
188C22×#41×C47C2211yescharacteristic, complemented
189C2×#135×C47C2211yescharacteristic, complemented
190C2×#135×C47C2211yescharacteristic, complemented
191C47×#525C2211yescharacteristic, complemented
192C47×#452C2211yescharacteristic, complemented
193C47×#452C2211yescharacteristic, complemented
194C47×#451C2211yescharacteristic, complemented
195C47×#450C2211yescharacteristic, complemented
196C47×#449C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic, complemented
198C47×#448C2211yescharacteristic, complemented
199C47×#447C2211yescharacteristic
200C47×#416C2211yescharacteristic, complemented
201C47×#416C2211yescharacteristic, complemented
202C2×C22⋊C8×C47C2211yescharacteristic, complemented
203#13094069—42no—
204#13094069—42no—
205C2×#10625350C2311yescharacteristic
206C2×#10625350C2311yescharacteristic
207C2×#10625350C2311yescharacteristic
208C2×#10625352—21no—
209C2×#10625352C2311yescharacteristic
210C2×#10625352C2311yescharacteristic
211C2×Q8×D47C2311yescharacteristic
212C22×C22⋊D47—21no—
213C22×C22⋊D47—21no—
214C2×D4×D47—21no—
215C2×D4×D47C2311yescharacteristic
216C2×D4×D47C2311yescharacteristic
217C2×D4×D47C2311yescharacteristic
218#13094053—42no—
219#13094048—42no—
220#13094044—42no—
221#13094044—42no—
222C2×Dic188C2311yescharacteristic
223C2×#10625337C2311yescharacteristic
224C2×#10625337C2311yescharacteristic
225C2×#10625337C2311yescharacteristic
226C2×#10625325C2311yescharacteristic
227C2×#10625325C2311yescharacteristic
228C2×#10625335C2311yescharacteristic
229C2×#10625335C2311yescharacteristic
230C2×#10625335C2311yescharacteristic
231C2×#10625336C2311yescharacteristic
232C2×#10625336C2311yescharacteristic
233C2×#10625336C2311yescharacteristic
234SD16×D47—42no—
235C2×D376C2311yescharacteristic
236C2×#10625334C2311yescharacteristic
237C2×#10625334C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239D8×D47—42no—
240C2×#10625324C2311yescharacteristic
241C2×#10625324C2311yescharacteristic
242C22×C47⋊C8C2311yescharacteristic
243C22×C47⋊C8C2311yescharacteristic
244C2×C8×D47C2311yescharacteristic
245C2×C8×D47C2311yescharacteristic
246#13094023—21no—
247#13094023C2311yescharacteristic
248#13094023C2311yescharacteristic
249#13094022—21no—
250#13094022C2311yescharacteristic
251#13094022C2311yescharacteristic
252#13094020—21no—
253#13094019—21no—
254#13094019—21no—
255#13094018—21no—
256#13094017—21no—
257#13094017—21no—
258#13094017—21no—
259#13094013—21no—
260#13094013C2311yescharacteristic
261#13094013C2311yescharacteristic
262#13094013C2311yescharacteristic
263#13094012—21no—
264#13094011—21no—
265#13094011—21no—
266#13094011—21no—
267#13094011C2311yescharacteristic
268#13094010—21no—
269#13094010—21no—
270#13094010—21no—
271#13094010—21no—
272#13094010—21no—
273#13094010—21no—
274#13094010—21no—
275#13094010—21no—
276#13094009—21no—
277#13094007—21no—
278#13094007—21no—
279#13094007—21no—
280#13094007—21no—
281#13094007—21no—
282#13094007—21no—
283#13094007—21no—
284#13094007—21no—
285#13094007—21no—
286#13094007—21no—
287#13094007—21no—
288#13094007—21no—
289#13094007—21no—
290#13094007—21no—
291#13094007—21no—
292#13094007D411yescharacteristic
293#13094007D411yescharacteristic
294#13094006—21no—
295#13094006—21no—
296#13094006—21no—
297#13094005—21no—
298#13094005—21no—
299#13094005—21no—
300#13094005—21no—
301#13094005—21no—
302#13094004—21no—
303#13094004C2311yescharacteristic
304#13094003—21no—
305#13094003D411yescharacteristic
306#13094003D411yescharacteristic
307#13094003C2311yescharacteristic
308#13094003C2311yescharacteristic
309#13094003C2311yescharacteristic
310#13094003C2311yescharacteristic
311#13094002—21no—
312#13094001—21no—
313#13094000—21no—
314#13094000—21no—
315#13094000C2311yescharacteristic
316#13094000C2311yescharacteristic
317#13094000C2311yescharacteristic
318#13094000C2311yescharacteristic
319#13094000C2311yescharacteristic
320#13093999C2311yescharacteristic
321#13093998D411yescharacteristic
322#13093998D411yescharacteristic
323#13093998C2311yescharacteristic
324#13093998C2311yescharacteristic
325#13093998C2311yescharacteristic
326#13093998C2311yescharacteristic
327#13093997—21no—
328#13093997—21no—
329#13093996—21no—
330#13093996—21no—
331#13093996—21no—
332#13093996—21no—
333#13093996—21no—
334#13093996—21no—
335#13093996—21no—
336#13093996—21no—
337#13093996—21no—
338#13093996—21no—
339#13093995—21no—
340#13093995—21no—
341#13093995C2311yescharacteristic
342#13093994—21no—
343#13093993—21no—
344#13093993—21no—
345#13093993D411yescharacteristic
346#13093993D411yescharacteristic
347#13093992—21no—
348#13093992—21no—
349#13093992—21no—
350#13093992—21no—
351#13093992—21no—
352#13093992—21no—
353#13093992—21no—
354Q8×Dic47C2311yescharacteristic
355C4×Dic94—21no—
356#13093989—21no—
357#13093989C2311yescharacteristic
358D4×Dic47—21no—
359D4×Dic47—21no—
360D4×Dic47C2311yescharacteristic
361D4×Dic47C2311yescharacteristic
362D4×Dic47C2311yescharacteristic
363D4×Dic47C2311yescharacteristic
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⋊D47C2311yescharacteristic
373C4×C22⋊D47C2311yescharacteristic
374C4×C22⋊D47C2311yescharacteristic
375C4×C22⋊D47C2311yescharacteristic
376#13093983C2311yescharacteristic
377#13093983C2311yescharacteristic
378#13093983C2311yescharacteristic
379#13093982C2311yescharacteristic
380#13093982C2311yescharacteristic
381#13093981—21no—
382#13093980—21no—
383C2×Dic47⋊C4—21no—
384C2×Dic47⋊C4—21no—
385C2×Dic47⋊C4—21no—
386C2×Dic47⋊C4—21no—
387C2×C22⋊Dic47—21no—
388C2×C22⋊Dic47—21no—
389C2×(C2×D47)⋊C4—21no—
390C2×(C2×D47)⋊C4—21no—
391C2×(C2×D47)⋊C4—21no—
392C2×(C2×D47)⋊C4—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—
493C23×D47—21no—
494C23×D47—21no—
495#41×C47—22no—
496#41×C47—22no—
497#41×C47—22no—
498#41×C47—22no—
499#41×C47—41no—
500#41×C47—41no—
501#41×C47—41no—
502#41×C47—41no—
503#41×C47—41no—
504#41×C47—41no—
505#41×C47—44no—
506#41×C47—44no—
507C2×Q8×C47—21no—
508C2×Q8×C47—41no—
509C2×Q8×C47—41no—
510C2×Q8×C47C2411yescharacteristic
511C2×Q8×C47C2411yescharacteristic
512C2×Q8×C47C2411yescharacteristic
513C2×D4×C47—22no—
514C2×D4×C47—22no—
515C2×D4×C47—21no—
516C2×D4×C47—21no—
517C2×D4×C47—21no—
518C2×D4×C47—21no—
519C2×D4×C47—21no—
520C2×D4×C47—21no—
521C2×D4×C47—21no—
522C2×D4×C47—21no—
523C2×D4×C47—44no—
524C2×D4×C47C2411yescharacteristic
525C2×D4×C47C2411yescharacteristic
526C2×D4×C47C2411yescharacteristic
527C22×C4×C47—21no—
528C22×C4×C47—21no—
529C22×C4×C47—21no—
530C22×C4×C47—21no—
531C22×C4×C47—21no—
532C22×C4×C47—21no—
533C22×C4×C47—41no—
534C22×C4×C47—41no—
535C22×C4×C47—44no—
536C22×C4×C47C2×D411yescharacteristic
537C22×C4×C47C2×D411yescharacteristic
538C22×C4×C47C2×D411yescharacteristic
539C22×C4×C47C2411yescharacteristic
540C22×C4×C47C2411yescharacteristic
541C22×C4×C47C2411yescharacteristic
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—44no—
555C2×C22⋊D47—44no—
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—
563C22×Dic47—21no—
564C22×Dic47—21no—
565C22×Dic47—21no—
566C22×Dic47—21no—
567C22×Dic47—21no—
568C22×Dic47—21no—
569Q8×D47—41no—
570Q8×D47—41no—
571#10625352—22no—
572#10625352—22no—
573#10625352—41no—
574#10625352—41no—
575#10625352—44no—
576D4×D47—22no—
577D4×D47—22no—
578D4×D47—41no—
579D4×D47—41no—
580D4×D47—41no—
581D4×D47—41no—
582D4×D47—44no—
583#10625350—41no—
584#10625350—41no—
585#10625350—41no—
586#10625350—41no—
587#10625350—41no—
588#10625350—41no—
589C2×D188—21no—
590C2×D188C2×D411yescharacteristic
591C2×D188C2411yescharacteristic
592C2×D188C2411yescharacteristic
593C2×C4×D47—21no—
594C2×C4×D47—21no—
595C2×C4×D47—21no—
596C2×C4×D47—21no—
597C2×C4×D47C2411yescharacteristic
598C2×C4×D47C2411yescharacteristic
599C2×Dic94—21no—
600C2×Dic94—21no—
601C2×Dic94—21no—
602C2×Dic94C2×D411yescharacteristic
603C2×Dic94C2411yescharacteristic
604C2×Dic94C2411yescharacteristic
605Q16×C47—41no—
606Q16×C47—41no—
607SD16×C47—22no—
608SD16×C47—22no—
609SD16×C47—41no—
610SD16×C47—41no—
611D8×C47—22no—
612D8×C47—22no—
613C2×C8×C47—41no—
614C2×C8×C47—41no—
615C2×C8×C47C2411yescharacteristic
616C2×C8×C47C2411yescharacteristic
617C2×C8×C47C2411yescharacteristic
618C2×C8×C47C2411yescharacteristic
619C4⋊C4×C47—21no—
620C4⋊C4×C47—21no—
621C4⋊C4×C47C2411yescharacteristic
622C4⋊C4×C47C2411yescharacteristic
623C22⋊C4×C47—21no—
624C22⋊C4×C47—21no—
625C22⋊C4×C47—21no—
626C22⋊C4×C47—21no—
627C22⋊C4×C47—21no—
628C42×C47—21no—
629C22⋊Dic47—21no—
630C22⋊Dic47—21no—
631C22⋊Dic47—21no—
632C22⋊Dic47—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⋊Dic47C2×D411yescharacteristic
644C22⋊Dic47C2×D411yescharacteristic
645C22⋊Dic47C2×D411yescharacteristic
646C22⋊Dic47C2×D411yescharacteristic
647C22⋊Dic47C2×D411yescharacteristic
648C22⋊Dic47C2×D411yescharacteristic
649#10625337—41no—
650#10625337—41no—
651#10625337—41no—
652#10625336—41no—
653#10625336—41no—
654#10625336—41no—
655#10625335—22no—
656#10625335—22no—
657#10625335—41no—
658#10625334—22no—
659#10625334—22no—
660#10625334—41no—
661(C2×D47)⋊C4—21no—
662(C2×D47)⋊C4—21no—
663(C2×D47)⋊C4—21no—
664(C2×D47)⋊C4—21no—
665(C2×D47)⋊C4—21no—
666(C2×D47)⋊C4—21no—
667(C2×D47)⋊C4—21no—
668(C2×D47)⋊C4—21no—
669(C2×D47)⋊C4—21no—
670(C2×D47)⋊C4—21no—
671(C2×D47)⋊C4—21no—
672(C2×D47)⋊C4—21no—
673(C2×D47)⋊C4—21no—
674(C2×D47)⋊C4—21no—
675(C2×D47)⋊C4—21no—
676(C2×D47)⋊C4—21no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4C2×D411yescharacteristic
682(C2×D47)⋊C4C2×D411yescharacteristic
683(C2×D47)⋊C4C2×D411yescharacteristic
684(C2×D47)⋊C4C2×D411yescharacteristic
685C4⋊Dic47—21no—
686C4⋊Dic47—21no—
687C4⋊Dic47C2×D411yescharacteristic
688C4⋊Dic47C2×D411yescharacteristic
689C4⋊Dic47C2411yescharacteristic
690C4⋊Dic47C2411yescharacteristic
691C4⋊Dic47C2411yescharacteristic
692C4⋊Dic47C2411yescharacteristic
693Dic47⋊C4—21no—
694Dic47⋊C4—21no—
695Dic47⋊C4—21no—
696Dic47⋊C4—21no—
697Dic47⋊C4—21no—
698Dic47⋊C4—21no—
699Dic47⋊C4—21no—
700Dic47⋊C4—21no—
701Dic47⋊C4—21no—
702Dic47⋊C4—21no—
703Dic47⋊C4—21no—
704Dic47⋊C4—21no—
705Dic47⋊C4—21no—
706Dic47⋊C4—21no—
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4C2×D411yescharacteristic
710Dic47⋊C4C2×D411yescharacteristic
711Dic47⋊C4C2×D411yescharacteristic
712Dic47⋊C4C2×D411yescharacteristic
713C4×Dic47—21no—
714C4×Dic47—21no—
715C4×Dic47—21no—
716C4×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—24no—
736C23×C47—21no—
737C23×C47—21no—
738C23×C47—21no—
739C23×C47—41no—
740C23×C47—41no—
741C23×C47—41no—
742C23×C47—81no—
743C23×C47—81no—
744C23×C47C22×D411yescharacteristic
745C23×C47C22×D411yescharacteristic
746C23×C47C22×D411yescharacteristic
747C22×D47—21no—
748C22×D47—21no—
749C22×D47—42no—
750C22×D47—42no—
751C22×D47—81no—
752C22×D47—81no—
753C22×D47—81no—
754C22×D47—81no—
755C22×D47—81no—
756C22×D47—81no—
757C22×D47—81no—
758C22×D47C22×D411yescharacteristic
759C22×D47C22×D411yescharacteristic
760Q8×C47—21no—
761Q8×C47—21no—
762Q8×C47—21no—
763Q8×C47—21no—
764Q8×C47—21no—
765Q8×C47—21no—
766Q8×C47—42no—
767D4×C47—24no—
768D4×C47—21no—
769D4×C47—21no—
770D4×C47—21no—
771D4×C47—21no—
772D4×C47—42no—
773D4×C47—42no—
774D4×C47—42no—
775D4×C47—42no—
776D4×C47—81no—
777D4×C47—81no—
778D4×C47—81no—
779D4×C47H(5,𝔽2)12yes—
780D4×C47H(5,𝔽2)12yes—
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—21no—
788C2×C4×C47—21no—
789C2×C4×C47—21no—
790C2×C4×C47—21no—
791C2×C4×C47—21no—
792C2×C4×C47—41no—
793C2×C4×C47—41no—
794C2×C4×C47—41no—
795C2×C4×C47—42no—
796C2×C4×C47—42no—
797C2×C4×C47—42no—
798C2×C4×C47—42no—
799C2×C4×C47—42no—
800C2×C4×C47—81no—
801C2×C4×C47C22×D411yescharacteristic
802C2×C4×C47C22×D411yescharacteristic
803C2×C4×C47C22×D411yescharacteristic
804C2×C4×C47C2511yescharacteristic
805C22⋊D47—41no—
806C22⋊D47—41no—
807C22⋊D47—41no—
808C22⋊D47—41no—
809C22⋊D47—41no—
810C22⋊D47—41no—
811C22⋊D47—42no—
812C22⋊D47—42no—
813C22⋊D47—42no—
814C22⋊D47—42no—
815C22⋊D47—42no—
816C22⋊D47—81no—
817C22⋊D47—81no—
818C22⋊D47—81no—
819C22⋊D47—81no—
820C22⋊D47—81no—
821C22⋊D47—81no—
822C22⋊D47—81no—
823C2×Dic47—21no—
824C2×Dic47—21no—
825C2×Dic47—21no—
826C2×Dic47—21no—
827C2×Dic47—21no—
828C2×Dic47—21no—
829C2×Dic47—42no—
830C2×Dic47—42no—
831C2×Dic47—81no—
832C2×Dic47—81no—
833C2×Dic47—81no—
834C2×Dic47—81no—
835C2×Dic47—81no—
836C2×Dic47C22×D411yescharacteristic
837C2×Dic47C22×D411yescharacteristic
838C2×Dic47C22×D411yescharacteristic
839C2×Dic47C22×D411yescharacteristic
840C2×Dic47C22×D411yescharacteristic
841C2×Dic47C22×D411yescharacteristic
842D188—21no—
843D188—21no—
844D188—21no—
845D188—21no—
846D188—41no—
847D188—81no—
848C4×D47—21no—
849C4×D47—21no—
850C4×D47—21no—
851C4×D47—21no—
852C4×D47—42no—
853C4×D47—81no—
854C4×D47—81no—
855C4×D47—81no—
856Dic94—21no—
857Dic94—21no—
858Dic94—21no—
859Dic94—21no—
860Dic94—41no—
861Dic94—81no—
862Dic94—81no—
863Dic94—81no—
864C8×C47—21no—
865C8×C47—21no—
866C8×C47—21no—
867C8×C47—21no—
868C47⋊C8—21no—
869C47⋊C8—21no—
870C47⋊C8—21no—
871C47⋊C8—21no—
872#61636—471nomaximal, Sylow
873C22×C47—21no—
874C22×C47—21no—
875C22×C47—21no—
876C22×C47—21no—
877C22×C47—21no—
878C22×C47—21no—
879C22×C47—22no—
880C22×C47—22no—
881C22×C47—21no—
882C22×C47—21no—
883C22×C47—21no—
884C22×C47—41no—
885C22×C47—41no—
886C22×C47—41no—
887C22×C47—41no—
888C22×C47—41no—
889C22×C47—41no—
890C22×C47—41no—
891C22×C47—84no—
892C22×C47—82no—
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—
907C2×D47—162no—
908C2×D47—162no—
909C4×C47—21no—
910C4×C47—21no—
911C4×C47—21no—
912C4×C47—41no—
913C4×C47—41no—
914C4×C47—41no—
915C4×C47—41no—
916C4×C47—41no—
917C4×C47C2×H(5,𝔽2)11yescharacteristic
918C4×C47C2×H(5,𝔽2)11yescharacteristic
919Dic47—21no—
920Dic47—21no—
921Dic47—21no—
922Dic47—21no—
923Dic47—21no—
924Dic47—21no—
925Dic47—41no—
926Dic47—41no—
927Dic47—41no—
928Dic47—41no—
929Dic47—41no—
930Dic47—41no—
931#3540—471no—
932#3485—471no—
933#3319—471no—
934#3319—471no—
935#3311—471no—
936#3311—471no—
937#3303—471no—
938#3303—471no—
939#3302—471no—
940#3302—471no—
941#3282—471no—
942#3282—471no—
943#3280—471no—
944#3280—471no—
945#3269—471no—
946#3269—471no—
947#3267—471no—
948#3267—471no—
949#3225—471no—
950#3225—471no—
951#3202—471no—
952#3200—471no—
953#3191—471no—
954#3191—471no—
955#3118—471no—
956#3118—471no—
957#3009—471no—
958#3008—471no—
959#3002—471no—
960#3002D4711yescharacteristic, complemented
961#2977—471no—
962C2×C47—42no—
963C2×C47—42no—
964C2×C47—41no—
965C2×C47—41no—
966C2×C47—41no—
967C2×C47—81no—
968C2×C47#348411yescharacteristic
969C2×C47#358411yescharacteristic
970C2×C47#358411yescharacteristic
971D47—41no—
972D47—41no—
973D47—81no—
974D47—81no—
975C2×H(5,𝔽2)—471no—
976C22×#41C2×D4711yescharacteristic, complemented
977C2×#137—471no—
978C2×AGL(1,ℤ/8)—471no—
979C2×#135—471no—
980C2×#135—471no—
981C2×#135C2×D4711yescharacteristic, complemented
982C2×#135C2×D4711yescharacteristic, complemented
983C22×SD16—471no—
984C22×D8—471no—
985H(3,𝔽4)—941no—
986#560—941no—
987#559—941no—
988#556—471no—
989#556—471no—
990#555—471no—
991#555—471no—
992#551—941no—
993#548—471no—
994#548—471no—
995#547—471no—
996#547—471no—
997#547—471no—
998#547—471no—
999#547—941no—
1000#547—941no—
1001#546—471no—
1002#546—471no—
1003#546—471no—
1004#546—471no—
1005#546—471no—
1006#546—471no—
1007#546—941no—
1008#546—941no—
1009#542—471no—
1010#542—471no—
1011#542—941no—
1012#542—941no—
1013#538—941no—
1014#538—941no—
1015#536—471no—
1016#536—471no—
1017#536—471no—
1018#535—471no—
1019#534—941no—
1020#534—941no—
1021#525—471no—
1022#525—471no—
1023#525—471no—
1024#525C2×D4711yescharacteristic, complemented
1025C2×#123—941no—
1026C2×#123—941no—
1027#518—471no—
1028#497—471no—
1029#497—471no—
1030#495—471no—
1031#495—471no—
1032#489—471no—
1033#489—471no—
1034#487—471no—
1035#487—471no—
1036#485—471no—
1037#485—471no—
1038#485—471no—
1039#485—471no—
1040#485—471no—
1041#485—471no—
1042#485—471no—
1043#485—471no—
1044#482—471no—
1045#482—471no—
1046#482—471no—
1047#482—471no—
1048#476—471no—
1049#476—471no—
1050#474—471no—
1051#474—471no—
1052#470—471no—
1053#470—471no—
1054#468—471no—
1055#468—471no—
1056#467—471no—
1057#467—471no—
1058#467—471no—
1059#467—471no—
1060#466—471no—
1061#466—471no—
1062#465—471no—
1063#465—471no—
1064#465—471no—
1065#465—471no—
1066#465—471no—
1067#465—471no—
1068#464—471no—
1069#464—471no—
1070#463—471no—
1071#463—471no—
1072#463—471no—
1073#463—471no—
1074#463—471no—
1075#463—471no—
1076#462—471no—
1077#462—471no—
1078#461—471no—
1079#461—471no—
1080#452—471no—
1081#452—471no—
1082#452—471no—
1083#452—471no—
1084#452—471no—
1085#452—471no—
1086#452—471no—
1087#452—471no—
1088#452C2×D4711yescharacteristic, complemented
1089#452C2×D4711yescharacteristic, complemented
1090#451—471no—
1091#451—471no—
1092#451—471no—
1093#451C2×D4711yescharacteristic, complemented
1094#450—471no—
1095#450—471no—
1096#450—471no—
1097#450—471no—
1098#450—471no—
1099#450C2×D4711yescharacteristic, complemented
1100#449—471no—
1101#449—471no—
1102#449—471no—
1103#449—471no—
1104#449—471no—
1105#449—471no—
1106#449—471no—
1107#449—471no—
1108#449C2×D4711yescharacteristic, complemented
1109#449C2×D4711yescharacteristic, complemented
1110#448—471no—
1111#448C2×D4711yescharacteristic, complemented
1112#447—471no—
1113#447—471no—
1114#447—471no—
1115#447C2×D4711yescharacteristic
1116#442—471no—
1117#442—471no—
1118#440—471no—
1119#440—471no—
1120C4×SD16—471no—
1121C4×SD16—471no—
1122C4×D8—471no—
1123C4×D8—471no—
1124#435—471no—
1125#435—471no—
1126#435—471no—
1127#435—471no—
1128C8×D4—471no—
1129C8×D4—471no—
1130C8×D4—471no—
1131C8×D4—471no—
1132#433—471no—
1133#433—471no—
1134#418—471no—
1135#418—471no—
1136#416—471no—
1137#416—471no—
1138#416—471no—
1139#416—471no—
1140#416C2×D4711yescharacteristic, complemented
1141#416C2×D4711yescharacteristic, complemented
1142#408—471no—
1143#408—471no—
1144C2×C22⋊C8—471no—
1145C2×C22⋊C8C2×D4711yescharacteristic, complemented
1146C47#6163611yescharacteristic, complemented, Sylow
1147H(5,𝔽2)—1882no—
1148H(5,𝔽2)—1882no—
1149C2×#41—21no—
1150C2×#41—21no—
1151C2×#41—42no—
1152C2×#41—42no—
1153C2×#41—471no—
1154C2×#41—471no—
1155C2×#41—471no—
1156C2×#41—471no—
1157C2×#41—471no—
1158C2×#41—941no—
1159C2×#41C22×D4711yescharacteristic
1160C2×#41C22×D4711yescharacteristic
1161C2×#41C22×D4711yescharacteristic
1162C2×#41C22×D4711yescharacteristic
1163C2×#41C22×D4711yescharacteristic
1164C22×Q8—471no—
1165C22×Q8C22×D4711yescharacteristic
1166C22×D4—21no—
1167C22×D4—471no—
1168C22×D4—471no—
1169C22×D4—471no—
1170C22×D4—941no—
1171C22×D4—941no—
1172C22×D4—941no—
1173C22×D4C22×D4711yescharacteristic
1174C23×C4—21no—
1175C23×C4C22×D4711yescharacteristic
1176#137—1882no—
1177AGL(1,ℤ/8)—1882no—
1178#135—42no—
1179#135—42no—
1180#135—1882no—
1181#135—1882no—
1182C2×Q16—471no—
1183C2×Q16—471no—
1184C2×Q16—471no—
1185C2×Q16—471no—
1186C2×Q16C22×D4711yescharacteristic
1187C2×Q16C22×D4711yescharacteristic
1188C2×SD16—471no—
1189C2×SD16—471no—
1190C2×SD16—471no—
1191C2×SD16—471no—
1192C2×SD16—471no—
1193C2×SD16—471no—
1194C2×SD16—471no—
1195C2×SD16—471no—
1196C2×SD16—1882no—
1197C2×SD16C22×D4711yescharacteristic
1198C2×SD16C22×D4711yescharacteristic
1199C2×SD16C22×D4711yescharacteristic
1200C2×SD16C22×D4711yescharacteristic
1201C2×D8—471no—
1202C2×D8—471no—
1203C2×D8—471no—
1204C2×D8—471no—
1205C2×D8—1882no—
1206C2×D8C22×D4711yescharacteristic
1207C2×D8C22×D4711yescharacteristic
1208C2×M16—471no—
1209C2×M16—471no—
1210C22×C8—471no—
1211C22×C8—471no—
1212C22×C8—471no—
1213C22×C8—471no—
1214C22×C8C22×D4711yescharacteristic
1215C22×C8C22×D4711yescharacteristic
1216C4⋊Q8—471no—
1217C4⋊Q8—471no—
1218C4⋊Q8—471no—
1219C4⋊Q8—471no—
1220C4⋊Q8—941no—
1221C4⋊Q8—941no—
1222#127—941no—
1223#126—941no—
1224#126—941no—
1225#126—941no—
1226#126—941no—
1227#126—941no—
1228#126—941no—
1229#124—471no—
1230#124—471no—
1231#124—471no—
1232#124—471no—
1233#124—941no—
1234#124—941no—
1235#124—941no—
1236#124—941no—
1237#124—941no—
1238#124—941no—
1239#124—941no—
1240#124—941no—
1241#124—941no—
1242#124—941no—
1243#124—941no—
1244#124—941no—
1245#124—941no—
1246#123—21no—
1247#123—471no—
1248#123—471no—
1249#123—941no—
1250#123—941no—
1251#123—941no—
1252#123—941no—
1253#123—941no—
1254#123—941no—
1255#123—941no—
1256#123—941no—
1257#123—941no—
1258#123—941no—
1259#123—941no—
1260#123—941no—
1261#123—941no—
1262#123—941no—
1263#123—941no—
1264#123—941no—
1265#123—941no—
1266#123—941no—
1267#123—941no—
1268#123—941no—
1269#123—941no—
1270#123—941no—
1271#123—941no—
1272#123—941no—
1273C22⋊Q8—471no—
1274C22⋊Q8—471no—
1275C22⋊Q8—471no—
1276C22⋊Q8—471no—
1277C22⋊Q8—471no—
1278C22⋊Q8—471no—
1279C22⋊Q8—471no—
1280C22⋊Q8—471no—
1281C22⋊Q8—471no—
1282C22⋊Q8—471no—
1283C22⋊Q8—471no—
1284C22⋊Q8—471no—
1285C22⋊Q8—941no—
1286C22⋊Q8—941no—
1287C22⋊Q8—941no—
1288C22⋊Q8—941no—
1289C22⋊Q8—941no—
1290C22⋊Q8—941no—
1291C22⋊Q8C22×D4711yescharacteristic
1292C22⋊Q8C22×D4711yescharacteristic
1293#121—471no—
1294#121—471no—
1295#121—471no—
1296#121—471no—
1297#121—471no—
1298#121—471no—
1299#121—471no—
1300#121—471no—
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#121—941no—
1314#121—941no—
1315#121C22×D4711yescharacteristic
1316#121C22×D4711yescharacteristic
1317#120—21no—
1318#120—471no—
1319#120—471no—
1320#120—941no—
1321#120—941no—
1322#120—941no—
1323#120—941no—
1324#120—941no—
1325#120—941no—
1326#120—941no—
1327#120—941no—
1328#120—941no—
1329#120—941no—
1330C4×Q8—471no—
1331C4×Q8—471no—
1332C4×Q8—941no—
1333C4×Q8—941no—
1334C4×D4—21no—
1335C4×D4—21no—
1336C4×D4—471no—
1337C4×D4—471no—
1338C4×D4—471no—
1339C4×D4—471no—
1340C4×D4—471no—
1341C4×D4—471no—
1342C4×D4—471no—
1343C4×D4—471no—
1344C4×D4—471no—
1345C4×D4—471no—
1346C4×D4—941no—
1347C4×D4—941no—
1348C4×D4—941no—
1349C4×D4—941no—
1350C4×D4—941no—
1351C4×D4—941no—
1352C4×D4—941no—
1353C4×D4—941no—
1354#117—471no—
1355#117—471no—
1356#117—471no—
1357#117—471no—
1358#117—471no—
1359#117—941no—
1360#117—941no—
1361#117C22×D4711yescharacteristic
1362C2×C4⋊C4—941no—
1363C2×C4⋊C4—941no—
1364C2×C4⋊C4—941no—
1365C2×C4⋊C4—941no—
1366C2×C22⋊C4—941no—
1367C2×C22⋊C4—941no—
1368C2×C22⋊C4—941no—
1369C2×C22⋊C4—941no—
1370C2×C22⋊C4—941no—
1371C2×C22⋊C4—941no—
1372C2×C22⋊C4—941no—
1373C2×C22⋊C4—941no—
1374#107—471no—
1375#107—471no—
1376#107—471no—
1377#107—471no—
1378#106—471no—
1379#106—471no—
1380#106—471no—
1381#106—471no—
1382C4⋊C8—471no—
1383C4⋊C8—471no—
1384C4⋊C8—471no—
1385C4⋊C8—471no—
1386#103—471no—
1387#103—471no—
1388#103—471no—
1389#103—471no—
1390#103—471no—
1391#103—471no—
1392#103—471no—
1393#103—471no—
1394#103—471no—
1395#103—471no—
1396#103—471no—
1397#103—471no—
1398#103C22×D4711yescharacteristic
1399#103C22×D4711yescharacteristic
1400#103C22×D4711yescharacteristic
1401#103C22×D4711yescharacteristic
1402#102—471no—
1403#102—471no—
1404#102—471no—
1405#102—471no—
1406#102—471no—
1407#102—471no—
1408#102—471no—
1409#102—471no—
1410#102—471no—
1411#102—471no—
1412#102—471no—
1413#102—471no—
1414#102C22×D4711yescharacteristic
1415#102C22×D4711yescharacteristic
1416#102C22×D4711yescharacteristic
1417#102C22×D4711yescharacteristic
1418C22⋊C8—471no—
1419C22⋊C8—471no—
1420C22⋊C8—471no—
1421C22⋊C8—471no—
1422C22⋊C8—471no—
1423C22⋊C8—471no—
1424C22⋊C8—471no—
1425C22⋊C8—471no—
1426C22⋊C8C22×D4711yescharacteristic
1427C22⋊C8C22×D4711yescharacteristic
1428C22⋊C8C22×D4711yescharacteristic
1429C22⋊C8C22×D4711yescharacteristic
1430#97—471no—
1431#97—471no—
1432C4×C8—471no—
1433C4×C8—471no—
1434C24—21no—
1435C24—941no—
1436C24—941no—
1437C24—941no—
1438C24D4×D4711yescharacteristic
1439#41—22no—
1440#41—22no—
1441#41—22no—
1442#41—22no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—44no—
1450#41—44no—
1451#41—942no—
1452#41—942no—
1453#41—1881no—
1454#41—1881no—
1455#41—1881no—
1456#41—1881no—
1457#41—1881no—
1458#41—1881no—
1459#41—1881no—
1460#41—1881no—
1461#41—1884no—
1462C2×Q8—21no—
1463C2×Q8—41no—
1464C2×Q8—41no—
1465C2×Q8—471no—
1466C2×Q8—471no—
1467C2×Q8—471no—
1468C2×Q8—941no—
1469C2×Q8—941no—
1470C2×Q8—941no—
1471C2×Q8—1881no—
1472C2×Q8—1881no—
1473C2×Q8C23×D4711yescharacteristic
1474C2×Q8C23×D4711yescharacteristic
1475C2×Q8C23×D4711yescharacteristic
1476C2×D4—22no—
1477C2×D4—22no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—44no—
1487C2×D4—471no—
1488C2×D4—471no—
1489C2×D4—471no—
1490C2×D4—471no—
1491C2×D4—471no—
1492C2×D4—471no—
1493C2×D4—471no—
1494C2×D4—471no—
1495C2×D4—471no—
1496C2×D4—941no—
1497C2×D4—941no—
1498C2×D4—941no—
1499C2×D4—941no—
1500C2×D4—942no—
1501C2×D4—942no—
1502C2×D4—941no—
1503C2×D4—941no—
1504C2×D4—941no—
1505C2×D4—941no—
1506C2×D4—941no—
1507C2×D4—941no—
1508C2×D4—941no—
1509C2×D4—941no—
1510C2×D4—941no—
1511C2×D4—1881no—
1512C2×D4—1881no—
1513C2×D4—1881no—
1514C2×D4—1881no—
1515C2×D4—1884no—
1516C2×D4—1884no—
1517C2×D4—1884no—
1518C2×D4C23×D4711yescharacteristic
1519C2×D4C23×D4711yescharacteristic
1520C2×D4C23×D4711yescharacteristic
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—41no—
1528C22×C4—41no—
1529C22×C4—44no—
1530C22×C4—471no—
1531C22×C4—471no—
1532C22×C4—941no—
1533C22×C4—941no—
1534C22×C4—941no—
1535C22×C4—941no—
1536C22×C4—941no—
1537C22×C4—941no—
1538C22×C4—941no—
1539C22×C4—941no—
1540C22×C4—941no—
1541C22×C4—941no—
1542C22×C4—941no—
1543C22×C4D4×D4711yescharacteristic
1544C22×C4D4×D4711yescharacteristic
1545C22×C4D4×D4711yescharacteristic
1546C22×C4C23×D4711yescharacteristic
1547C22×C4C23×D4711yescharacteristic
1548C22×C4C23×D4711yescharacteristic
1549Q16—41no—
1550Q16—41no—
1551Q16—1881no—
1552Q16—1881no—
1553Q16—1881no—
1554Q16—1881no—
1555SD16—22no—
1556SD16—22no—
1557SD16—41no—
1558SD16—41no—
1559SD16—942no—
1560SD16—942no—
1561SD16—1881no—
1562SD16—1881no—
1563SD16—1881no—
1564SD16—1881no—
1565SD16—1881no—
1566SD16—1881no—
1567D8—22no—
1568D8—22no—
1569D8—942no—
1570D8—942no—
1571D8—1881no—
1572D8—1881no—
1573M16—1881no—
1574M16—1881no—
1575C2×C8—41no—
1576C2×C8—41no—
1577C2×C8—471no—
1578C2×C8—471no—
1579C2×C8—471no—
1580C2×C8—471no—
1581C2×C8—1881no—
1582C2×C8—1881no—
1583C2×C8—1881no—
1584C2×C8—1881no—
1585C2×C8C23×D4711yescharacteristic
1586C2×C8C23×D4711yescharacteristic
1587C2×C8C23×D4711yescharacteristic
1588C2×C8C23×D4711yescharacteristic
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—471no—
1592C4⋊C4—471no—
1593C4⋊C4—471no—
1594C4⋊C4—471no—
1595C4⋊C4—471no—
1596C4⋊C4—471no—
1597C4⋊C4—471no—
1598C4⋊C4—471no—
1599C4⋊C4—471no—
1600C4⋊C4—471no—
1601C4⋊C4—941no—
1602C4⋊C4—941no—
1603C4⋊C4—941no—
1604C4⋊C4—941no—
1605C4⋊C4—941no—
1606C4⋊C4—941no—
1607C4⋊C4—941no—
1608C4⋊C4—941no—
1609C4⋊C4—941no—
1610C4⋊C4—941no—
1611C4⋊C4—941no—
1612C4⋊C4—941no—
1613C4⋊C4—941no—
1614C4⋊C4—941no—
1615C4⋊C4—941no—
1616C4⋊C4—941no—
1617C4⋊C4—941no—
1618C4⋊C4—941no—
1619C4⋊C4C23×D4711yescharacteristic
1620C4⋊C4C23×D4711yescharacteristic
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
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—471no—
1635C22⋊C4—471no—
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—
1664C22⋊C4—941no—
1665C22⋊C4—941no—
1666C22⋊C4—941no—
1667C22⋊C4—941no—
1668C22⋊C4—941no—
1669C22⋊C4—941no—
1670C42—21no—
1671C42—471no—
1672C42—471no—
1673C42—941no—
1674C42—941no—
1675C42—941no—
1676C42—941no—
1677C42—941no—
1678C42—941no—
1679C23—24no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—41no—
1684C23—41no—
1685C23—41no—
1686C23—81no—
1687C23—81no—
1688C23—471no—
1689C23—471no—
1690C23—941no—
1691C23—941no—
1692C23—3761no—
1693C23—3761no—
1694C23—3761no—
1695C23—3761no—
1696C23—3761no—
1697C23—3761no—
1698C23—3761no—
1699C23—1882no—
1700C23—1882no—
1701C23C2×D4×D4711yescharacteristic
1702C23C2×D4×D4711yescharacteristic
1703C23C2×D4×D4711yescharacteristic
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—21no—
1709Q8—21no—
1710Q8—42no—
1711Q8—941no—
1712Q8—941no—
1713Q8—941no—
1714Q8—941no—
1715Q8—3761no—
1716Q8—3761no—
1717Q8—3761no—
1718Q8—1881no—
1719D4—24no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—42no—
1725D4—42no—
1726D4—42no—
1727D4—42no—
1728D4—81no—
1729D4—81no—
1730D4—81no—
1731D4—941no—
1732D4—941no—
1733D4—941no—
1734D4—941no—
1735D4—3761no—
1736D4—3761no—
1737D4—3761no—
1738D4—3761no—
1739D4—3761no—
1740D4—3761no—
1741D4—3761no—
1742D4—3761no—
1743D4—1881no—
1744D4—1881no—
1745D4—1881no—
1746D4—1881no—
1747D4—1881no—
1748D4—1881no—
1749D4—1881no—
1750D4—1882no—
1751D4—1882no—
1752D4—1882no—
1753D4—1882no—
1754D4—1882no—
1755D4#1309406912yes—
1756D4#1309406912yes—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—42no—
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—3761no—
1798C2×C4—3761no—
1799C2×C4—3761no—
1800C2×C4—3761no—
1801C2×C4—1882no—
1802C2×C4—1882no—
1803C2×C4—1882no—
1804C2×C4C2×D4×D4711yescharacteristic
1805C2×C4C2×D4×D4711yescharacteristic
1806C2×C4C2×D4×D4711yescharacteristic
1807C2×C4C24×D4711yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—941no—
1813C8—941no—
1814C8—941no—
1815C8—941no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—22no—
1826C22—22no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—84no—
1835C22—82no—
1836C22—941no—
1837C22—941no—
1838C22—941no—
1839C22—941no—
1840C22—941no—
1841C22—941no—
1842C22—1881no—
1843C22—1881no—
1844C22—1881no—
1845C22—1881no—
1846C22—1881no—
1847C22—1881no—
1848C22—7522no—
1849C22—7522no—
1850C22—7522no—
1851C22C22×D4×D4711yescharacteristic
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—941no—
1861C4—941no—
1862C4—941no—
1863C4—941no—
1864C4—941no—
1865C4—941no—
1866C4—1881no—
1867C4—1881no—
1868C4—1881no—
1869C4—1881no—
1870C4—1881no—
1871C4—1881no—
1872C4C2×#1309406911yescharacteristic
1873C4C2×#1309406911yescharacteristic
1874C2—41no—
1875C2—41no—
1876C2—41no—
1877C2—42no—
1878C2—42no—
1879C2—81no—
1880C2—3761no—
1881C2—3761no—
1882C2—1881no—
1883C2—1881no—
1884C2#2025701711yescharacteristic
1885C2#2025815711yescharacteristic
1886C2#2025816111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3002C2
socleC22×C47C23×D4
hypercenter#3002D47
hypocenterC47#61636
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. #20257032C2semidirect
3. #20255548C2semidirect
4. #20255540C2semidirect
5. #20255428C2semidirect
6. #20255420C2semidirect
7. #20255312C2semidirect
8. #20255309C2semidirect
9. #20255301C2semidirect
10. #20255298C2semidirect
11. #20255093C2semidirect
12. #20255089C2semidirect
13. #20255071C2semidirect
14. #20255067C2semidirect
15. #20254947C2semidirect
16. #20254943C2semidirect
17. #20254913C2semidirect
18. #20254906C2semidirect
19. #20254503C2semidirect
20. #20254495C2semidirect
21. #20254281C2semidirect
22. #20254258C2semidirect
23. #20254181C2semidirect
24. #20254176C2semidirect
25. #20253573C2semidirect
26. #20253565C2semidirect
27. #20252660C2semidirect
28. #20252651C2semidirect
29. #20252606C2semidirect
30. #20252442C2semidirect
31. C47×#3002C2semidirect
33. C2×#13094053C22semidirect
34. C2×#13094048C22semidirect
35. C2×#13094044C22semidirect
36. C2×#13094044C22semidirect
37. C2×SD16×D47C22semidirect
38. C2×D8×D47C22semidirect
42. #15689844C22semidirect
43. #15689841C22semidirect
44. #15689837C22semidirect
45. #15689836C22semidirect
47. #15689783C22semidirect
48. #15689780C22semidirect
53. #15689772C22semidirect
54. #15689772C22semidirect
55. #15689770C22semidirect
60. #15689761C22semidirect
61. #15689761C22semidirect
62. #15689761C22semidirect
63. #15689746C22semidirect
65. #15689740C22semidirect
70. #15689697C22semidirect
76. #15689634C22semidirect
77. #15689634C22semidirect
80. #15689598C22semidirect
81. #15689516C22semidirect
82. #15689514C22semidirect
83. #15689508C22semidirect
84. #15689504C22semidirect
85. #15689484C22semidirect
86. #15689484C22semidirect
87. #15689472C22semidirect
88. #15689472C22semidirect
89. #15689465C22semidirect
90. #15689465C22semidirect
91. #15689464C22semidirect
92. #15689463C22semidirect
93. #15689463C22semidirect
94. #15689462C22semidirect
95. #15689462C22semidirect
96. #15689461C22semidirect
97. #15689448C22semidirect
98. #15689448C22semidirect
99. #15689447C22semidirect
100. #15689444C22semidirect
101. #15689411C22semidirect
102. #15689411C22semidirect
103. #15689401C22semidirect
104. #15689401C22semidirect
105. #15689380C22semidirect
106. #15689378C22semidirect
107. #15689372C22semidirect
108. #15689366C22semidirect
109. #15689364C22semidirect
110. #15689363C22semidirect
111. #15689362C22semidirect
112. #15689361C22semidirect
113. #15689359C22semidirect
114. #15689357C22semidirect
115. #15689355C22semidirect
116. #15689354C22semidirect
117. #15689352C22semidirect
118. #15689352C22semidirect
119. #15689350C22semidirect
120. #15689349C22semidirect
121. #15689348C22semidirect
122. #15689347C22semidirect
123. #15689341C22semidirect
124. #15689340C22semidirect
125. #15689340C22semidirect
126. #15689340C22semidirect
127. #15689336C22semidirect
128. #15689336C22semidirect
129. #15689332C22semidirect
130. #15689331C22semidirect
131. #15689327C22semidirect
132. #15689326C22semidirect
133. #15689287C22semidirect
134. #15689287C22semidirect
135. #15689286C22semidirect
136. #15689285C22semidirect
137. #15689285C22semidirect
138. #15689285C22semidirect
139. #15689283C22semidirect
140. #15689282C22semidirect
141. #15689279C22semidirect
142. #15689277C22semidirect
143. #15689277C22semidirect
144. #15689275C22semidirect
145. #15689274C22semidirect
146. #15689272C22semidirect
147. #15689272C22semidirect
148. #15689272C22semidirect
150. #15689270C22semidirect
151. #15689269C22semidirect
152. #15689268C22semidirect
153. #15689268C22semidirect
154. #15689268C22semidirect
156. #15689265C22semidirect
157. #15689262C22semidirect
158. #15689258C22semidirect
160. #15689255C22semidirect
161. #15689235C22semidirect
162. #15689232C22semidirect
163. #15689224C22semidirect
164. #15689220C22semidirect
165. #15689214C22semidirect
166. SD16×Dic47C22semidirect
167. D8×Dic47C22semidirect
168. #15689203C22semidirect
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. #15689126C22semidirect
180. #15689126C22semidirect
181. #15689119C22semidirect
182. #15689119C22semidirect
183. #15689116C22semidirect
184. #15689116C22semidirect
187. C2×C22⋊(C47⋊C8)C22semidirect
188. C22×#41×C47C22semidirect
189. C2×#135×C47C22semidirect
190. C2×#135×C47C22semidirect
191. C47×#525C22semidirect
192. C47×#452C22semidirect
193. C47×#452C22semidirect
194. C47×#451C22semidirect
195. C47×#450C22semidirect
196. C47×#449C22semidirect
197. C47×#449C22semidirect
198. C47×#448C22semidirect
200. C47×#416C22semidirect
201. C47×#416C22semidirect
202. C2×C22⋊C8×C47C22semidirect
960. #3002D47semidirect
976. C22×#41C2×D47semidirect
981. C2×#135C2×D47semidirect
982. C2×#135C2×D47semidirect
1024. #525C2×D47semidirect
1088. #452C2×D47semidirect
1089. #452C2×D47semidirect
1093. #451C2×D47semidirect
1099. #450C2×D47semidirect
1108. #449C2×D47semidirect
1109. #449C2×D47semidirect
1111. #448C2×D47semidirect
1140. #416C2×D47semidirect
1141. #416C2×D47semidirect
1145. C2×C22⋊C8C2×D47semidirect
1146. C47#61636semidirect

Maximal subgroups

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

subgroupindex
#202576562
#202570322
#202555482
#202555402
#202554282
#202554202
#202553122
#202553092
#202553012
#202552982
#202550932
#202550892
#202550712
#202550672
#202549472
#202549432
#202549132
#202549062
#202545032
#202544952
#202542812
#202542582
#202541812
#202541762
#202535732
#202535652
#202526602
#202526512
#202526062
#202524422
C47×#30022
#6163647