Finite Group Databasebeta

← #27102433

Subgroups — #27102433

Order 12032.

2070 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257644C211yesmaximal, characteristic, complemented
2#20257032C211yesmaximal, characteristic, complemented
3#20255488C211yesmaximal, characteristic, complemented
4#20255480C211yesmaximal, characteristic, complemented
5#20255368C211yesmaximal, characteristic, complemented
6#20255360C211yesmaximal, characteristic, complemented
7#20255239C211yesmaximal, characteristic, complemented
8#20255231C211yesmaximal, characteristic, complemented
9#20255224C211yesmaximal, characteristic, complemented
10#20255216C211yesmaximal, characteristic, complemented
11#20255116C211yesmaximal, characteristic, complemented
12#20255112C211yesmaximal, characteristic, complemented
13#20255104C211yesmaximal, characteristic, complemented
14#20255103C211yesmaximal, characteristic, complemented
15#20254932C211yesmaximal, characteristic, complemented
16#20254928C211yesmaximal, characteristic, complemented
17#20254917C211yesmaximal, characteristic, complemented
18#20254913C211yesmaximal, characteristic, complemented
19#20254467C211yesmaximal, characteristic, complemented
20#20254445C211yesmaximal, characteristic, complemented
21#20254274C211yesmaximal, characteristic, complemented
22#20254266C211yesmaximal, characteristic, complemented
23#20254181C211yesmaximal, characteristic, complemented
24#20254176C211yesmaximal, characteristic, complemented
25#20253634C211yesmaximal, characteristic, complemented
26#20253625C211yesmaximal, characteristic, complemented
27#20252693C211yesmaximal, characteristic, complemented
28#20252687C211yesmaximal, characteristic, complemented
29#20252606C211yesmaximal, characteristic, complemented
30#20252442C211yesmaximal, characteristic, complemented
31C47×#3002C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic
33C2×#13094051C2211yescharacteristic, complemented
34C2×#13094048C2211yescharacteristic, complemented
35C2×#13094045C2211yescharacteristic, complemented
36C2×#13094044C2211yescharacteristic, complemented
37C2×#13094044C2211yescharacteristic, complemented
38C2×#13094043C2211yescharacteristic, complemented
39#15689862—21no—
40#15689862—21no—
41#15689823—21no—
42#15689822—21no—
43#15689820C2211yescharacteristic, complemented
44#15689817C2211yescharacteristic, complemented
45#15689812C2211yescharacteristic, complemented
46#15689807C2211yescharacteristic, complemented
47#15689792C2211yescharacteristic, complemented
48#15689791C2211yescharacteristic, complemented
49#15689775C2211yescharacteristic, complemented
50#15689772—21no—
51#15689772—21no—
52#15689772C2211yescharacteristic
53#15689772C2211yescharacteristic
54#15689772C2211yescharacteristic
55#15689772C2211yescharacteristic
56#15689772C2211yescharacteristic, complemented
57#15689761—21no—
58#15689761—21no—
59#15689761C2211yescharacteristic
60#15689761C2211yescharacteristic
61#15689761C2211yescharacteristic
62#15689761C2211yescharacteristic
63#15689733C2211yescharacteristic, complemented
64#15689726C2211yescharacteristic, complemented
65#15689725—21no—
66#15689724—21no—
67#15689716—21no—
68#15689715—21no—
69#15689703C2211yescharacteristic
70#15689702C2211yescharacteristic
71#15689697C2211yescharacteristic
72#15689697C2211yescharacteristic
73#15689682—21no—
74#15689682—21no—
75#15689634C2211yescharacteristic
76#15689634C2211yescharacteristic
77#15689634C2211yescharacteristic, complemented
78C2×#13094007—21no—
79C2×#13094007—21no—
80#15689598C2211yescharacteristic
81#15689516C2211yescharacteristic, complemented
82#15689509C2211yescharacteristic, complemented
83#15689501C2211yescharacteristic, complemented
84#15689494C2211yescharacteristic, complemented
85#15689490C2211yescharacteristic, complemented
86#15689490C2211yescharacteristic, complemented
87#15689479C2211yescharacteristic, complemented
88#15689479C2211yescharacteristic, complemented
89#15689465C2211yescharacteristic, complemented
90#15689465C2211yescharacteristic, complemented
91#15689464C2211yescharacteristic, complemented
92#15689461C2211yescharacteristic, complemented
93#15689457C2211yescharacteristic, complemented
94#15689457C2211yescharacteristic, complemented
95#15689452C2211yescharacteristic, complemented
96#15689452C2211yescharacteristic, complemented
97#15689448C2211yescharacteristic, complemented
98#15689448C2211yescharacteristic, complemented
99#15689447C2211yescharacteristic, complemented
100#15689444C2211yescharacteristic, complemented
101#15689425C2211yescharacteristic, complemented
102#15689425C2211yescharacteristic, complemented
103#15689421C2211yescharacteristic, complemented
104#15689421C2211yescharacteristic, 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#15689332C2211yescharacteristic, complemented
126#15689331C2211yescharacteristic, complemented
127#15689327C2211yescharacteristic, complemented
128#15689326C2211yescharacteristic, complemented
129#15689326C2211yescharacteristic, complemented
130#15689326C2211yescharacteristic, complemented
131#15689316C2211yescharacteristic, complemented
132#15689316C2211yescharacteristic, complemented
133#15689287C2211yescharacteristic
134#15689287C2211yescharacteristic, complemented
135#15689286C2211yescharacteristic, complemented
136#15689285C2211yescharacteristic, complemented
137#15689285C2211yescharacteristic, complemented
138#15689285C2211yescharacteristic, complemented
139#15689284C2211yescharacteristic, complemented
140#15689284C2211yescharacteristic, complemented
141#15689283C2211yescharacteristic
142#15689282C2211yescharacteristic, complemented
143#15689282C2211yescharacteristic, complemented
144#15689282C2211yescharacteristic, complemented
145#15689279C2211yescharacteristic, complemented
146#15689275C2211yescharacteristic, complemented
147#15689274C2211yescharacteristic
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#15689121C2211yescharacteristic, complemented
180#15689121C2211yescharacteristic, complemented
181#15689119C2211yescharacteristic, complemented
182#15689119C2211yescharacteristic, complemented
183#102×D47C2211yescharacteristic, complemented
184#102×D47C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic
186#15689088C2211yescharacteristic
187C2×C22⋊(C47⋊C8)C2211yescharacteristic, complemented
188C22×#41×C47C2211yescharacteristic
189C2×#135×C47C2211yescharacteristic, complemented
190C2×#135×C47C2211yescharacteristic, complemented
191C47×#525C2211yescharacteristic, complemented
192C47×#452C2211yescharacteristic, complemented
193C47×#452C2211yescharacteristic, complemented
194C47×#451C2211yescharacteristic, complemented
195C47×#450C2211yescharacteristic
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×#10625354C2311yescharacteristic
206C2×#10625350C2311yescharacteristic
207C2×#10625350C2311yescharacteristic
208C2×#10625350C2311yescharacteristic
209C2×#10625352—21no—
210C2×#10625352C2311yescharacteristic
211C2×#10625352C2311yescharacteristic
212C2×#10625352C2311yescharacteristic
213C22×C22⋊D47—21no—
214C22×C22⋊D47—21no—
215C2×D4×D47—21no—
216C2×D4×D47C2311yescharacteristic
217C2×D4×D47C2311yescharacteristic
218#13094051—42no—
219#13094048—42no—
220#13094045—42no—
221#13094044—42no—
222#13094044—42no—
223#13094043—42no—
224C2×Dic188C2311yescharacteristic
225C2×#10625337C2311yescharacteristic
226C2×#10625337C2311yescharacteristic
227C2×#10625337C2311yescharacteristic
228C2×#10625325C2311yescharacteristic
229C2×#10625325C2311yescharacteristic
230C2×#10625335C2311yescharacteristic
231C2×#10625335C2311yescharacteristic
232C2×#10625335C2311yescharacteristic
233C2×#10625336C2311yescharacteristic
234C2×#10625336C2311yescharacteristic
235C2×#10625336C2311yescharacteristic
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#13094022—21no—
247#13094022C2311yescharacteristic
248#13094022C2311yescharacteristic
249#13094022C2311yescharacteristic
250#13094020—21no—
251#13094020—21no—
252#13094020C2311yescharacteristic
253#13094018—21no—
254#13094017—21no—
255#13094017—21no—
256#13094017—21no—
257#13094017—21no—
258#13094017—21no—
259#13094016—21no—
260#13094015—21no—
261#13094015C2311yescharacteristic
262#13094015C2311yescharacteristic
263#13094014—21no—
264#13094014—21no—
265#13094013—21no—
266#13094013C2311yescharacteristic
267#13094013C2311yescharacteristic
268#13094009—21no—
269#13094008—21no—
270#13094007—21no—
271#13094007—21no—
272#13094007—21no—
273#13094007—21no—
274#13094007—21no—
275#13094007—21no—
276#13094007—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#13094007D411yescharacteristic
286#13094007D411yescharacteristic
287#13094006—21no—
288#13094006—21no—
289#13094006—21no—
290#13094006—21no—
291#13094006—21no—
292#13094005—21no—
293#13094005—21no—
294#13094005—21no—
295#13094005—21no—
296#13094005—21no—
297#13094005—21no—
298#13094004C2311yescharacteristic
299#13094003D411yescharacteristic
300#13094003D411yescharacteristic
301#13094003C2311yescharacteristic
302#13094003C2311yescharacteristic
303#13094003C2311yescharacteristic
304#13094003C2311yescharacteristic
305#13094002—21no—
306#13094001—21no—
307#13094000—21no—
308#13094000—21no—
309#13094000C2311yescharacteristic
310#13094000C2311yescharacteristic
311#13094000C2311yescharacteristic
312#13094000C2311yescharacteristic
313#13094000C2311yescharacteristic
314#13093999—21no—
315#13093999C2311yescharacteristic
316#13093998—21no—
317#13093998D411yescharacteristic
318#13093998D411yescharacteristic
319#13093998C2311yescharacteristic
320#13093998C2311yescharacteristic
321#13093998C2311yescharacteristic
322#13093998C2311yescharacteristic
323#13093997—21no—
324#13093997—21no—
325#13093997—21no—
326#13093997—21no—
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#13093996—21no—
340#13093996—21no—
341#13093995—21no—
342#13093995—21no—
343#13093995—21no—
344#13093995—21no—
345#13093995C2311yescharacteristic
346#13093993—21no—
347#13093993—21no—
348#13093993D411yescharacteristic
349#13093993D411yescharacteristic
350#13093992—21no—
351#13093992—21no—
352#13093992—21no—
353#13093992—21no—
354Q8×Dic47C2311yescharacteristic
355#13093989C2311yescharacteristic
356C4×D188—21no—
357D4×Dic47—21no—
358D4×Dic47—21no—
359D4×Dic47C2311yescharacteristic
360D4×Dic47C2311yescharacteristic
361D4×Dic47C2311yescharacteristic
362D4×Dic47C2311yescharacteristic
363D4×Dic47C2311yescharacteristic
364#13093986C2311yescharacteristic
365C4×C22⋊D47—21no—
366C4×C22⋊D47—21no—
367C4×C22⋊D47—21no—
368C4×C22⋊D47—21no—
369C4×C22⋊D47—21no—
370C4×C22⋊D47C2311yescharacteristic
371C4×C22⋊D47C2311yescharacteristic
372C4×C22⋊D47C2311yescharacteristic
373C4×C22⋊D47C2311yescharacteristic
374(C22⋊D47)⋊C4—21no—
375(C22⋊D47)⋊C4—21no—
376#13093983C2311yescharacteristic
377#13093983C2311yescharacteristic
378#13093983C2311yescharacteristic
379#13093982—21no—
380#13093981—21no—
381C2×Dic47⋊C4—21no—
382C2×Dic47⋊C4—21no—
383C2×Dic47⋊C4—21no—
384C2×Dic47⋊C4—21no—
385C2×Dic47⋊C4—21no—
386C4⋊C4×D47—21no—
387C4⋊C4×D47C2311yescharacteristic
388C4⋊C4×D47C2311yescharacteristic
389C2×C22⋊Dic47—21no—
390C2×C22⋊Dic47—21no—
391C2×(C2×D47)⋊C4—21no—
392C2×(C2×D47)⋊C4—21no—
393C2×(C2×D47)⋊C4—21no—
394C2×(C2×D47)⋊C4—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—
494#41×C47—22no—
495#41×C47—22no—
496#41×C47—22no—
497#41×C47—22no—
498#41×C47—41no—
499#41×C47—41no—
500#41×C47—41no—
501#41×C47—41no—
502#41×C47—41no—
503#41×C47—41no—
504#41×C47—44no—
505#41×C47—44no—
506C2×Q8×C47—21no—
507C2×Q8×C47—41no—
508C2×Q8×C47—41no—
509C2×Q8×C47C2411yescharacteristic
510C2×Q8×C47C2411yescharacteristic
511C2×Q8×C47C2411yescharacteristic
512C2×D4×C47—22no—
513C2×D4×C47—22no—
514C2×D4×C47—21no—
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—44no—
523C2×D4×C47C2411yescharacteristic
524C2×D4×C47C2411yescharacteristic
525C2×D4×C47C2411yescharacteristic
526C22×C4×C47—21no—
527C22×C4×C47—21no—
528C22×C4×C47—21no—
529C22×C4×C47—21no—
530C22×C4×C47—21no—
531C22×C4×C47—21no—
532C22×C4×C47—41no—
533C22×C4×C47—41no—
534C22×C4×C47—44no—
535C22×C4×C47C2×D411yescharacteristic
536C22×C4×C47C2×D411yescharacteristic
537C22×C4×C47C2×D411yescharacteristic
538C22×C4×C47C2411yescharacteristic
539C22×C4×C47C2411yescharacteristic
540C22×C4×C47C2411yescharacteristic
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—44no—
556C2×C22⋊D47—44no—
557C2×C22⋊D47C2×D411yescharacteristic
558C2×C22⋊D47C2×D411yescharacteristic
559C2×C22⋊D47C2×D411yescharacteristic
560C2×C22⋊D47C2×D411yescharacteristic
561C2×C22⋊D47C2×D411yescharacteristic
562C2×C22⋊D47C2×D411yescharacteristic
563C22×Dic47—21no—
564C22×Dic47—21no—
565C22×Dic47—21no—
566C22×Dic47—21no—
567C22×Dic47—21no—
568C22×Dic47—21no—
569C22×Dic47—21no—
570C22×Dic47—21no—
571#10625354—41no—
572#10625354—41no—
573#10625352—22no—
574#10625352—22no—
575#10625352—41no—
576#10625352—41no—
577#10625352—41no—
578#10625352—41no—
579#10625352—44no—
580D4×D47—22no—
581D4×D47—22no—
582D4×D47—41no—
583D4×D47—41no—
584D4×D47—44no—
585#10625350—41no—
586#10625350—41no—
587#10625350—41no—
588#10625350—41no—
589#10625350—41no—
590#10625350—41no—
591C2×D188—21no—
592C2×D188—21no—
593C2×D188C2×D411yescharacteristic
594C2×D188C2411yescharacteristic
595C2×D188C2411yescharacteristic
596C2×C4×D47—21no—
597C2×C4×D47—21no—
598C2×C4×D47—21no—
599C2×C4×D47—21no—
600C2×C4×D47—21no—
601C2×C4×D47—21no—
602C2×C4×D47C2411yescharacteristic
603C2×C4×D47C2411yescharacteristic
604C2×Dic94C2×D411yescharacteristic
605C2×Dic94C2411yescharacteristic
606C2×Dic94C2411yescharacteristic
607Q16×C47—41no—
608Q16×C47—41no—
609SD16×C47—22no—
610SD16×C47—22no—
611SD16×C47—41no—
612SD16×C47—41no—
613D8×C47—22no—
614D8×C47—22no—
615C2×C8×C47—41no—
616C2×C8×C47—41no—
617C2×C8×C47C2411yescharacteristic
618C2×C8×C47C2411yescharacteristic
619C2×C8×C47C2411yescharacteristic
620C2×C8×C47C2411yescharacteristic
621C4⋊C4×C47—21no—
622C4⋊C4×C47—21no—
623C4⋊C4×C47C2411yescharacteristic
624C4⋊C4×C47C2411yescharacteristic
625C22⋊C4×C47—21no—
626C22⋊C4×C47—21no—
627C22⋊C4×C47—21no—
628C22⋊C4×C47—21no—
629C22⋊C4×C47—21no—
630C42×C47—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)⋊C4C2×D411yescharacteristic
678(C2×D47)⋊C4C2×D411yescharacteristic
679(C2×D47)⋊C4C2×D411yescharacteristic
680(C2×D47)⋊C4C2×D411yescharacteristic
681C4⋊Dic47—21no—
682C4⋊Dic47—21no—
683C4⋊Dic47—21no—
684C4⋊Dic47—21no—
685C4⋊Dic47C2×D411yescharacteristic
686C4⋊Dic47C2×D411yescharacteristic
687C4⋊Dic47C2411yescharacteristic
688C4⋊Dic47C2411yescharacteristic
689C4⋊Dic47C2411yescharacteristic
690C4⋊Dic47C2411yescharacteristic
691Dic47⋊C4—21no—
692Dic47⋊C4—21no—
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⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4C2×D411yescharacteristic
712Dic47⋊C4C2×D411yescharacteristic
713Dic47⋊C4C2×D411yescharacteristic
714Dic47⋊C4C2×D411yescharacteristic
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×D47C22×D411yescharacteristic
756C22×D47C22×D411yescharacteristic
757Q8×C47—21no—
758Q8×C47—21no—
759Q8×C47—21no—
760Q8×C47—21no—
761Q8×C47—21no—
762Q8×C47—21no—
763Q8×C47—42no—
764D4×C47—24no—
765D4×C47—21no—
766D4×C47—21no—
767D4×C47—21no—
768D4×C47—21no—
769D4×C47—42no—
770D4×C47—42no—
771D4×C47—42no—
772D4×C47—42no—
773D4×C47—81no—
774D4×C47—81no—
775D4×C47—81no—
776D4×C47H(5,𝔽2)12yes—
777D4×C47H(5,𝔽2)12yes—
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—21no—
788C2×C4×C47—21no—
789C2×C4×C47—41no—
790C2×C4×C47—41no—
791C2×C4×C47—41no—
792C2×C4×C47—42no—
793C2×C4×C47—42no—
794C2×C4×C47—42no—
795C2×C4×C47—42no—
796C2×C4×C47—42no—
797C2×C4×C47—81no—
798C2×C4×C47C22×D411yescharacteristic
799C2×C4×C47C22×D411yescharacteristic
800C2×C4×C47C22×D411yescharacteristic
801C2×C4×C47C2511yescharacteristic
802C22⋊D47—41no—
803C22⋊D47—41no—
804C22⋊D47—41no—
805C22⋊D47—41no—
806C22⋊D47—41no—
807C22⋊D47—41no—
808C22⋊D47—42no—
809C22⋊D47—42no—
810C22⋊D47—42no—
811C22⋊D47—42no—
812C22⋊D47—42no—
813C22⋊D47—81no—
814C22⋊D47—81no—
815C22⋊D47—81no—
816C22⋊D47—81no—
817C22⋊D47—81no—
818C22⋊D47—81no—
819C22⋊D47—81no—
820C22⋊D47—81no—
821C22⋊D47—81no—
822C2×Dic47—21no—
823C2×Dic47—21no—
824C2×Dic47—21no—
825C2×Dic47—21no—
826C2×Dic47—21no—
827C2×Dic47—21no—
828C2×Dic47—42no—
829C2×Dic47—42no—
830C2×Dic47—81no—
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—
848D188—81no—
849C4×D47—21no—
850C4×D47—21no—
851C4×D47—21no—
852C4×D47—21no—
853C4×D47—42no—
854C4×D47—81no—
855C4×D47—81no—
856C4×D47—81no—
857C4×D47—81no—
858C4×D47—81no—
859Dic94—21no—
860Dic94—21no—
861Dic94—21no—
862Dic94—21no—
863Dic94—41no—
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#61635—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—
908C4×C47—21no—
909C4×C47—21no—
910C4×C47—21no—
911C4×C47—41no—
912C4×C47—41no—
913C4×C47—41no—
914C4×C47—41no—
915C4×C47—41no—
916C4×C47C2×H(5,𝔽2)11yescharacteristic
917C4×C47C2×H(5,𝔽2)11yescharacteristic
918Dic47—21no—
919Dic47—21no—
920Dic47—21no—
921Dic47—21no—
922Dic47—21no—
923Dic47—21no—
924Dic47—41no—
925Dic47—41no—
926Dic47—41no—
927Dic47—41no—
928Dic47—41no—
929Dic47—41no—
930#3539—471no—
931#3485—471no—
932#3315—471no—
933#3315—471no—
934#3307—471no—
935#3307—471no—
936#3297—471no—
937#3297—471no—
938#3296—471no—
939#3296—471no—
940#3284—471no—
941#3284—471no—
942#3283—471no—
943#3283—471no—
944#3268—471no—
945#3268—471no—
946#3267—471no—
947#3267—471no—
948#3223—471no—
949#3221—471no—
950#3201—471no—
951#3201—471no—
952#3191—471no—
953#3191—471no—
954#3123—471no—
955#3122—471no—
956#3012—471no—
957#3012—471no—
958#3002—471no—
959#3002D4711yescharacteristic, complemented
960#2977—471no—
961C2×C47—42no—
962C2×C47—42no—
963C2×C47—41no—
964C2×C47—41no—
965C2×C47—41no—
966C2×C47—81no—
967C2×C47#348411yescharacteristic
968C2×C47#358411yescharacteristic
969C2×C47#358411yescharacteristic
970D47—41no—
971D47—41no—
972D47—81no—
973D47—81no—
974C2×H(5,𝔽2)—471no—
975C22×#41C2×D4711yescharacteristic
976C2×AGL(1,ℤ/8)—471no—
977C2×AGL(1,ℤ/8)—471no—
978C2×#135—471no—
979C2×#135—471no—
980C2×#135—471no—
981C2×#135—471no—
982C2×#135C2×D4711yescharacteristic, complemented
983C2×#135C2×D4711yescharacteristic, complemented
984#560—941no—
985#560—941no—
986#553—471no—
987#553—471no—
988#553—941no—
989#553—941no—
990#552—471no—
991#552—471no—
992#550—471no—
993#550—471no—
994#547—471no—
995#547—471no—
996#547—471no—
997#547—471no—
998#547—471no—
999#547—471no—
1000#547—941no—
1001#547—941no—
1002#546—471no—
1003#546—471no—
1004#546—471no—
1005#546—471no—
1006#546—941no—
1007#546—941no—
1008#541—471no—
1009#540—471no—
1010#540—941no—
1011#540—941no—
1012#539—941no—
1013#539—941no—
1014#537—471no—
1015#537—471no—
1016#536—471no—
1017#536—471no—
1018#534—941no—
1019#534—941no—
1020#525—471no—
1021#525—471no—
1022#525—471no—
1023#525C2×D4711yescharacteristic, complemented
1024C2×#123—941no—
1025C2×#123—941no—
1026#518—471no—
1027#497—471no—
1028#496—471no—
1029#494—471no—
1030#492—471no—
1031#491—471no—
1032#491—471no—
1033#488—471no—
1034#488—471no—
1035#485—471no—
1036#485—471no—
1037#485—471no—
1038#485—471no—
1039#484—471no—
1040#484—471no—
1041#483—471no—
1042#483—471no—
1043#482—471no—
1044#482—471no—
1045#482—471no—
1046#482—471no—
1047#478—471no—
1048#478—471no—
1049#478—471no—
1050#478—471no—
1051#470—471no—
1052#470—471no—
1053#468—471no—
1054#468—471no—
1055#467—471no—
1056#467—471no—
1057#467—471no—
1058#467—471no—
1059#466—471no—
1060#466—471no—
1061#465—471no—
1062#465—471no—
1063#465—471no—
1064#465—471no—
1065#465—471no—
1066#465—471no—
1067#464—471no—
1068#464—471no—
1069#463—471no—
1070#463—471no—
1071#462—471no—
1072#462—471no—
1073#461—471no—
1074#461—471no—
1075#461—471no—
1076#461—471no—
1077#459—471no—
1078#459—471no—
1079#452—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#452—471no—
1089#452—471no—
1090#452—471no—
1091#452C2×D4711yescharacteristic, complemented
1092#452C2×D4711yescharacteristic, complemented
1093#451—471no—
1094#451C2×D4711yescharacteristic, complemented
1095#450—471no—
1096#450—471no—
1097#450—471no—
1098#450C2×D4711yescharacteristic
1099#449—471no—
1100#449—471no—
1101#449—471no—
1102#449—471no—
1103#449—471no—
1104#449—471no—
1105#449—471no—
1106#449—471no—
1107#449C2×D4711yescharacteristic, complemented
1108#449C2×D4711yescharacteristic, complemented
1109#448—471no—
1110#448C2×D4711yescharacteristic, complemented
1111#447—471no—
1112#447—471no—
1113#447—471no—
1114#447C2×D4711yescharacteristic
1115#442—471no—
1116#442—471no—
1117#440—471no—
1118#440—471no—
1119C4×SD16—471no—
1120C4×SD16—471no—
1121C4×D8—471no—
1122C4×D8—471no—
1123#435—471no—
1124#435—471no—
1125#435—471no—
1126#435—471no—
1127C8×D4—471no—
1128C8×D4—471no—
1129C8×D4—471no—
1130C8×D4—471no—
1131#433—471no—
1132#433—471no—
1133#417—471no—
1134#417—471no—
1135#416—471no—
1136#416—471no—
1137#416C2×D4711yescharacteristic, complemented
1138#416C2×D4711yescharacteristic, complemented
1139C2×#102—471no—
1140C2×#102—471no—
1141#408—471no—
1142#408—471no—
1143C2×C22⋊C8—471no—
1144C2×C22⋊C8C2×D4711yescharacteristic, complemented
1145C47#6163511yescharacteristic, complemented, Sylow
1146H(5,𝔽2)—1882no—
1147H(5,𝔽2)—1882no—
1148C2×#41—21no—
1149C2×#41—21no—
1150C2×#41—42no—
1151C2×#41—42no—
1152C2×#41—471no—
1153C2×#41—471no—
1154C2×#41—471no—
1155C2×#41—471no—
1156C2×#41—471no—
1157C2×#41—471no—
1158C2×#41—471no—
1159C2×#41—941no—
1160C2×#41C22×D4711yescharacteristic
1161C2×#41C22×D4711yescharacteristic
1162C2×#41C22×D4711yescharacteristic
1163C2×#41C22×D4711yescharacteristic
1164C2×#41C22×D4711yescharacteristic
1165C22×Q8C22×D4711yescharacteristic
1166C22×D4—21no—
1167C22×D4—471no—
1168C22×D4—471no—
1169C22×D4—941no—
1170C22×D4—941no—
1171C22×D4—941no—
1172C22×D4C22×D4711yescharacteristic
1173C23×C4—21no—
1174C23×C4C22×D4711yescharacteristic
1175AGL(1,ℤ/8)—1882no—
1176AGL(1,ℤ/8)—1882no—
1177#135—42no—
1178#135—42no—
1179#135—1882no—
1180#135—1882no—
1181#135—1882no—
1182#135—1882no—
1183C2×Q16—471no—
1184C2×Q16—471no—
1185C2×Q16—471no—
1186C2×Q16—471no—
1187C2×Q16C22×D4711yescharacteristic
1188C2×Q16C22×D4711yescharacteristic
1189C2×SD16—471no—
1190C2×SD16—471no—
1191C2×SD16—471no—
1192C2×SD16—471no—
1193C2×SD16—471no—
1194C2×SD16—471no—
1195C2×SD16—471no—
1196C2×SD16—471no—
1197C2×SD16C22×D4711yescharacteristic
1198C2×SD16C22×D4711yescharacteristic
1199C2×SD16C22×D4711yescharacteristic
1200C2×SD16C22×D4711yescharacteristic
1201C2×D8—471no—
1202C2×D8—471no—
1203C2×D8—471no—
1204C2×D8—471no—
1205C2×D8C22×D4711yescharacteristic
1206C2×D8C22×D4711yescharacteristic
1207C2×M16—471no—
1208C2×M16—471no—
1209C22×C8—471no—
1210C22×C8—471no—
1211C22×C8—471no—
1212C22×C8—471no—
1213C22×C8C22×D4711yescharacteristic
1214C22×C8C22×D4711yescharacteristic
1215C4⋊Q8—471no—
1216C4⋊Q8—471no—
1217C4⋊Q8—471no—
1218C4⋊Q8—941no—
1219#127—471no—
1220#127—941no—
1221#127—941no—
1222#126—941no—
1223#126—941no—
1224#126—941no—
1225#126—941no—
1226#126—941no—
1227#126—941no—
1228#125—471no—
1229#125—471no—
1230#125—941no—
1231#125—941no—
1232#125—941no—
1233#125—941no—
1234#124—471no—
1235#124—471no—
1236#124—941no—
1237#123—21no—
1238#123—471no—
1239#123—471no—
1240#123—941no—
1241#123—941no—
1242#123—941no—
1243#123—941no—
1244#123—941no—
1245#123—941no—
1246#123—941no—
1247#123—941no—
1248#123—941no—
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—
1268C22⋊Q8—471no—
1269C22⋊Q8—471no—
1270C22⋊Q8—471no—
1271C22⋊Q8—471no—
1272C22⋊Q8—471no—
1273C22⋊Q8—471no—
1274C22⋊Q8—471no—
1275C22⋊Q8—471no—
1276C22⋊Q8—471no—
1277C22⋊Q8—471no—
1278C22⋊Q8—471no—
1279C22⋊Q8—471no—
1280C22⋊Q8—941no—
1281C22⋊Q8—941no—
1282C22⋊Q8—941no—
1283C22⋊Q8—941no—
1284C22⋊Q8C22×D4711yescharacteristic
1285C22⋊Q8C22×D4711yescharacteristic
1286#121—471no—
1287#121—471no—
1288#121—471no—
1289#121—471no—
1290#121—471no—
1291#121—471no—
1292#121—471no—
1293#121—471no—
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#121—941no—
1314#121—941no—
1315#121—941no—
1316#121—941no—
1317#121—941no—
1318#121C22×D4711yescharacteristic
1319#121C22×D4711yescharacteristic
1320#120—21no—
1321#120—471no—
1322#120—471no—
1323#120—941no—
1324#120—941no—
1325#120—941no—
1326#120—941no—
1327#120—941no—
1328#120—941no—
1329C4×Q8—471no—
1330C4×Q8—471no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—471no—
1334C4×D4—471no—
1335C4×D4—471no—
1336C4×D4—471no—
1337C4×D4—471no—
1338C4×D4—471no—
1339C4×D4—471no—
1340C4×D4—471no—
1341C4×D4—471no—
1342C4×D4—471no—
1343C4×D4—941no—
1344C4×D4—941no—
1345C4×D4—941no—
1346C4×D4—941no—
1347C4×D4—941no—
1348C4×D4—941no—
1349C4×D4—941no—
1350C4×D4—941no—
1351C4×D4—941no—
1352C4×D4—941no—
1353#117—471no—
1354#117—471no—
1355#117—471no—
1356#117—941no—
1357#117—941no—
1358#117C22×D4711yescharacteristic
1359C2×C4⋊C4—471no—
1360C2×C4⋊C4—471no—
1361C2×C4⋊C4—941no—
1362C2×C4⋊C4—941no—
1363C2×C4⋊C4—941no—
1364C2×C4⋊C4—941no—
1365C2×C4⋊C4—941no—
1366C2×C4⋊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—
1373#107—471no—
1374#107—471no—
1375#107—471no—
1376#107—471no—
1377#106—471no—
1378#106—471no—
1379#106—471no—
1380#106—471no—
1381C4⋊C8—471no—
1382C4⋊C8—471no—
1383C4⋊C8—471no—
1384C4⋊C8—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#103—471no—
1397#103C22×D4711yescharacteristic
1398#103C22×D4711yescharacteristic
1399#103C22×D4711yescharacteristic
1400#103C22×D4711yescharacteristic
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#102—471no—
1413#102C22×D4711yescharacteristic
1414#102C22×D4711yescharacteristic
1415#102C22×D4711yescharacteristic
1416#102C22×D4711yescharacteristic
1417C22⋊C8—471no—
1418C22⋊C8—471no—
1419C22⋊C8—471no—
1420C22⋊C8—471no—
1421C22⋊C8—471no—
1422C22⋊C8—471no—
1423C22⋊C8—471no—
1424C22⋊C8—471no—
1425C22⋊C8C22×D4711yescharacteristic
1426C22⋊C8C22×D4711yescharacteristic
1427C22⋊C8C22×D4711yescharacteristic
1428C22⋊C8C22×D4711yescharacteristic
1429#97—471no—
1430#97—471no—
1431C4×C8—471no—
1432C4×C8—471no—
1433C24—21no—
1434C24—941no—
1435C24—941no—
1436C24D4×D4711yescharacteristic
1437#41—22no—
1438#41—22no—
1439#41—22no—
1440#41—22no—
1441#41—41no—
1442#41—41no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—44no—
1448#41—44no—
1449#41—942no—
1450#41—942no—
1451#41—1881no—
1452#41—1881no—
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—1881no—
1462#41—1881no—
1463#41—1884no—
1464C2×Q8—21no—
1465C2×Q8—41no—
1466C2×Q8—41no—
1467C2×Q8—471no—
1468C2×Q8—471no—
1469C2×Q8—471no—
1470C2×Q8C23×D4711yescharacteristic
1471C2×Q8C23×D4711yescharacteristic
1472C2×Q8C23×D4711yescharacteristic
1473C2×D4—22no—
1474C2×D4—22no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—44no—
1484C2×D4—471no—
1485C2×D4—471no—
1486C2×D4—471no—
1487C2×D4—471no—
1488C2×D4—471no—
1489C2×D4—471no—
1490C2×D4—471no—
1491C2×D4—471no—
1492C2×D4—471no—
1493C2×D4—941no—
1494C2×D4—941no—
1495C2×D4—941no—
1496C2×D4—941no—
1497C2×D4—941no—
1498C2×D4—941no—
1499C2×D4—942no—
1500C2×D4—942no—
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—1881no—
1512C2×D4—1881no—
1513C2×D4—1884no—
1514C2×D4—1884no—
1515C2×D4—1884no—
1516C2×D4C23×D4711yescharacteristic
1517C2×D4C23×D4711yescharacteristic
1518C2×D4C23×D4711yescharacteristic
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—41no—
1526C22×C4—41no—
1527C22×C4—44no—
1528C22×C4—471no—
1529C22×C4—471no—
1530C22×C4—941no—
1531C22×C4—941no—
1532C22×C4—941no—
1533C22×C4—941no—
1534C22×C4—941no—
1535C22×C4—941no—
1536C22×C4—941no—
1537C22×C4—941no—
1538C22×C4—941no—
1539C22×C4—941no—
1540C22×C4—941no—
1541C22×C4—941no—
1542C22×C4—941no—
1543C22×C4—941no—
1544C22×C4D4×D4711yescharacteristic
1545C22×C4D4×D4711yescharacteristic
1546C22×C4D4×D4711yescharacteristic
1547C22×C4C23×D4711yescharacteristic
1548C22×C4C23×D4711yescharacteristic
1549C22×C4C23×D4711yescharacteristic
1550Q16—41no—
1551Q16—41no—
1552Q16—1881no—
1553Q16—1881no—
1554Q16—1881no—
1555Q16—1881no—
1556SD16—22no—
1557SD16—22no—
1558SD16—41no—
1559SD16—41no—
1560SD16—942no—
1561SD16—942no—
1562SD16—1881no—
1563SD16—1881no—
1564SD16—1881no—
1565SD16—1881no—
1566SD16—1881no—
1567SD16—1881no—
1568D8—22no—
1569D8—22no—
1570D8—942no—
1571D8—942no—
1572D8—1881no—
1573D8—1881no—
1574M16—1881no—
1575M16—1881no—
1576C2×C8—41no—
1577C2×C8—41no—
1578C2×C8—471no—
1579C2×C8—471no—
1580C2×C8—471no—
1581C2×C8—471no—
1582C2×C8—1881no—
1583C2×C8—1881no—
1584C2×C8—1881no—
1585C2×C8—1881no—
1586C2×C8C23×D4711yescharacteristic
1587C2×C8C23×D4711yescharacteristic
1588C2×C8C23×D4711yescharacteristic
1589C2×C8C23×D4711yescharacteristic
1590C4⋊C4—21no—
1591C4⋊C4—21no—
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—471no—
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⋊C4—941no—
1620C4⋊C4—941no—
1621C4⋊C4—941no—
1622C4⋊C4—941no—
1623C4⋊C4—941no—
1624C4⋊C4—941no—
1625C4⋊C4—941no—
1626C4⋊C4C23×D4711yescharacteristic
1627C4⋊C4C23×D4711yescharacteristic
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—471no—
1634C22⋊C4—471no—
1635C22⋊C4—471no—
1636C22⋊C4—471no—
1637C22⋊C4—471no—
1638C22⋊C4—471no—
1639C22⋊C4—471no—
1640C22⋊C4—471no—
1641C22⋊C4—471no—
1642C22⋊C4—471no—
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—
1670C22⋊C4—941no—
1671C42—21no—
1672C42—471no—
1673C42—471no—
1674C42—941no—
1675C42—941no—
1676C42—941no—
1677C42—941no—
1678C23—24no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—41no—
1683C23—41no—
1684C23—41no—
1685C23—81no—
1686C23—81no—
1687C23—471no—
1688C23—471no—
1689C23—941no—
1690C23—941no—
1691C23—3761no—
1692C23—3761no—
1693C23—3761no—
1694C23—3761no—
1695C23—1882no—
1696C23—1882no—
1697C23C2×D4×D4711yescharacteristic
1698C23C2×D4×D4711yescharacteristic
1699C23C2×D4×D4711yescharacteristic
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—42no—
1707Q8—941no—
1708Q8—941no—
1709Q8—941no—
1710Q8—941no—
1711Q8—1881no—
1712D4—24no—
1713D4—21no—
1714D4—21no—
1715D4—21no—
1716D4—21no—
1717D4—42no—
1718D4—42no—
1719D4—42no—
1720D4—42no—
1721D4—81no—
1722D4—81no—
1723D4—81no—
1724D4—941no—
1725D4—941no—
1726D4—941no—
1727D4—941no—
1728D4—3761no—
1729D4—3761no—
1730D4—3761no—
1731D4—3761no—
1732D4—3761no—
1733D4—3761no—
1734D4—3761no—
1735D4—3761no—
1736D4—3761no—
1737D4—3761no—
1738D4—3761no—
1739D4—1881no—
1740D4—1881no—
1741D4—1881no—
1742D4—1881no—
1743D4—1881no—
1744D4—1881no—
1745D4—1881no—
1746D4—1882no—
1747D4—1882no—
1748D4—1882no—
1749D4—1882no—
1750D4—1882no—
1751D4#1309406912yes—
1752D4#1309406912yes—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—42no—
1772C2×C4—81no—
1773C2×C4—471no—
1774C2×C4—471no—
1775C2×C4—471no—
1776C2×C4—471no—
1777C2×C4—471no—
1778C2×C4—471no—
1779C2×C4—941no—
1780C2×C4—941no—
1781C2×C4—941no—
1782C2×C4—941no—
1783C2×C4—941no—
1784C2×C4—941no—
1785C2×C4—941no—
1786C2×C4—941no—
1787C2×C4—941no—
1788C2×C4—941no—
1789C2×C4—3761no—
1790C2×C4—3761no—
1791C2×C4—3761no—
1792C2×C4—3761no—
1793C2×C4—3761no—
1794C2×C4—3761no—
1795C2×C4—3761no—
1796C2×C4—3761no—
1797C2×C4—3761no—
1798C2×C4—3761no—
1799C2×C4—3761no—
1800C2×C4—1882no—
1801C2×C4—1882no—
1802C2×C4—1882no—
1803C2×C4C2×D4×D4711yescharacteristic
1804C2×C4C2×D4×D4711yescharacteristic
1805C2×C4C2×D4×D4711yescharacteristic
1806C2×C4C24×D4711yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—941no—
1812C8—941no—
1813C8—941no—
1814C8—941no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—22no—
1825C22—22no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—84no—
1834C22—82no—
1835C22—941no—
1836C22—941no—
1837C22—941no—
1838C22—941no—
1839C22—941no—
1840C22—941no—
1841C22—1881no—
1842C22—1881no—
1843C22—1881no—
1844C22—1881no—
1845C22—1881no—
1846C22—1881no—
1847C22—7522no—
1848C22—7522no—
1849C22C22×D4×D4711yescharacteristic
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—941no—
1859C4—941no—
1860C4—941no—
1861C4—941no—
1862C4—941no—
1863C4—941no—
1864C4—1881no—
1865C4—1881no—
1866C4—1881no—
1867C4—1881no—
1868C4—1881no—
1869C4—1881no—
1870C4C2×#1309406911yescharacteristic
1871C4C2×#1309406911yescharacteristic
1872C2—41no—
1873C2—41no—
1874C2—41no—
1875C2—42no—
1876C2—42no—
1877C2—81no—
1878C2—3761no—
1879C2—3761no—
1880C2—1881no—
1881C2—1881no—
1882C2#2025701711yescharacteristic
1883C2#2025815711yescharacteristic
1884C2#2025816111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3002C2
socleC22×C47C23×D4
hypercenter#3002D47
hypocenterC47#61635
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. #20257644C2semidirect
2. #20257032C2semidirect
3. #20255488C2semidirect
4. #20255480C2semidirect
5. #20255368C2semidirect
6. #20255360C2semidirect
7. #20255239C2semidirect
8. #20255231C2semidirect
9. #20255224C2semidirect
10. #20255216C2semidirect
11. #20255116C2semidirect
12. #20255112C2semidirect
13. #20255104C2semidirect
14. #20255103C2semidirect
15. #20254932C2semidirect
16. #20254928C2semidirect
17. #20254917C2semidirect
18. #20254913C2semidirect
19. #20254467C2semidirect
20. #20254445C2semidirect
21. #20254274C2semidirect
22. #20254266C2semidirect
23. #20254181C2semidirect
24. #20254176C2semidirect
25. #20253634C2semidirect
26. #20253625C2semidirect
27. #20252693C2semidirect
28. #20252687C2semidirect
29. #20252606C2semidirect
30. #20252442C2semidirect
31. C47×#3002C2semidirect
33. C2×#13094051C22semidirect
34. C2×#13094048C22semidirect
35. C2×#13094045C22semidirect
36. C2×#13094044C22semidirect
37. C2×#13094044C22semidirect
38. C2×#13094043C22semidirect
43. #15689820C22semidirect
44. #15689817C22semidirect
45. #15689812C22semidirect
46. #15689807C22semidirect
47. #15689792C22semidirect
48. #15689791C22semidirect
49. #15689775C22semidirect
56. #15689772C22semidirect
63. #15689733C22semidirect
64. #15689726C22semidirect
77. #15689634C22semidirect
81. #15689516C22semidirect
82. #15689509C22semidirect
83. #15689501C22semidirect
84. #15689494C22semidirect
85. #15689490C22semidirect
86. #15689490C22semidirect
87. #15689479C22semidirect
88. #15689479C22semidirect
89. #15689465C22semidirect
90. #15689465C22semidirect
91. #15689464C22semidirect
92. #15689461C22semidirect
93. #15689457C22semidirect
94. #15689457C22semidirect
95. #15689452C22semidirect
96. #15689452C22semidirect
97. #15689448C22semidirect
98. #15689448C22semidirect
99. #15689447C22semidirect
100. #15689444C22semidirect
101. #15689425C22semidirect
102. #15689425C22semidirect
103. #15689421C22semidirect
104. #15689421C22semidirect
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. #15689332C22semidirect
126. #15689331C22semidirect
127. #15689327C22semidirect
128. #15689326C22semidirect
129. #15689326C22semidirect
130. #15689326C22semidirect
131. #15689316C22semidirect
132. #15689316C22semidirect
134. #15689287C22semidirect
135. #15689286C22semidirect
136. #15689285C22semidirect
137. #15689285C22semidirect
138. #15689285C22semidirect
139. #15689284C22semidirect
140. #15689284C22semidirect
142. #15689282C22semidirect
143. #15689282C22semidirect
144. #15689282C22semidirect
145. #15689279C22semidirect
146. #15689275C22semidirect
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. #15689121C22semidirect
180. #15689121C22semidirect
181. #15689119C22semidirect
182. #15689119C22semidirect
183. #102×D47C22semidirect
184. #102×D47C22semidirect
187. C2×C22⋊(C47⋊C8)C22semidirect
189. C2×#135×C47C22semidirect
190. C2×#135×C47C22semidirect
191. C47×#525C22semidirect
192. C47×#452C22semidirect
193. C47×#452C22semidirect
194. C47×#451C22semidirect
196. C47×#449C22semidirect
197. C47×#449C22semidirect
198. C47×#448C22semidirect
200. C47×#416C22semidirect
201. C47×#416C22semidirect
202. C2×C22⋊C8×C47C22semidirect
959. #3002D47semidirect
982. C2×#135C2×D47semidirect
983. C2×#135C2×D47semidirect
1023. #525C2×D47semidirect
1091. #452C2×D47semidirect
1092. #452C2×D47semidirect
1094. #451C2×D47semidirect
1107. #449C2×D47semidirect
1108. #449C2×D47semidirect
1110. #448C2×D47semidirect
1137. #416C2×D47semidirect
1138. #416C2×D47semidirect
1144. C2×C22⋊C8C2×D47semidirect
1145. C47#61635semidirect

Maximal subgroups

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

subgroupindex
#202576442
#202570322
#202554882
#202554802
#202553682
#202553602
#202552392
#202552312
#202552242
#202552162
#202551162
#202551122
#202551042
#202551032
#202549322
#202549282
#202549172
#202549132
#202544672
#202544452
#202542742
#202542662
#202541812
#202541762
#202536342
#202536252
#202526932
#202526872
#202526062
#202524422
C47×#30022
#6163547