Finite Group Databasebeta

← #27093410

Subgroups — #27093410

Order 12032.

2124 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D47C211yesmaximal, characteristic, complemented
2D4×#10625354C211yesmaximal, characteristic
3#20255660C211yesmaximal, characteristic, complemented
4#20255652C211yesmaximal, characteristic, complemented
5#20255610C211yesmaximal, characteristic, complemented
6#20255602C211yesmaximal, characteristic, complemented
7#20255519C211yesmaximal, characteristic, complemented
8#20255511C211yesmaximal, characteristic, complemented
9#20255491C211yesmaximal, characteristic, complemented
10#20255483C211yesmaximal, characteristic, complemented
11#20255439C211yesmaximal, characteristic, complemented
12#20255411C211yesmaximal, characteristic, complemented
13#20255403C211yesmaximal, characteristic, complemented
14#20255279C211yesmaximal, characteristic, complemented
15#20255271C211yesmaximal, characteristic, complemented
16#20255229C211yesmaximal, characteristic, complemented
17#20255221C211yesmaximal, characteristic, complemented
18#20253790C211yesmaximal, characteristic, complemented
19#20253320C211yesmaximal, characteristic, complemented
20#20253312C211yesmaximal, characteristic, complemented
21#20253207C211yesmaximal, characteristic, complemented
22#20253017C211yesmaximal, characteristic, complemented
23#20253015C211yesmaximal, characteristic, complemented
24#20252861C211yesmaximal, characteristic, complemented
25#20252647C211yesmaximal, characteristic, complemented
26#20252647C211yesmaximal, characteristic, complemented
27#20252204C211yesmaximal, characteristic, complemented
28#20252121C211yesmaximal, characteristic, complemented
29#20251906C211yesmaximal, characteristic, complemented
30C2×#15689123C211yesmaximal, characteristic, complemented
31C47×#3312C211yesmaximal, characteristic, complemented
32C22×#10625354C2211yescharacteristic
33C22×#10625354C2211yescharacteristic
34C2×#13094056C2211yescharacteristic
35C2×#13094056C2211yescharacteristic, complemented
36C2×#13094056C2211yescharacteristic, complemented
37C22×#10625324C2211yescharacteristic, complemented
38C2×M16×D47C2211yescharacteristic, complemented
39#15689815C2211yescharacteristic, complemented
40#15689814C2211yescharacteristic, complemented
41#15689813C2211yescharacteristic
42#15689812C2211yescharacteristic, complemented
43#15689811C2211yescharacteristic, complemented
44#15689810—21no—
45#15689809—21no—
46#15689808C2211yescharacteristic, complemented
47#15689807C2211yescharacteristic, complemented
48#15689806—21no—
49#15689805—21no—
50#15689795C2211yescharacteristic
51#15689784C2211yescharacteristic
52#15689784C2211yescharacteristic
53#15689776—21no—
54#15689776C2211yescharacteristic
55#15689764—21no—
56#15689764—21no—
57#15689764C2211yescharacteristic
58#15689764C2211yescharacteristic
59D4×D188—21no—
60D4×D188C2211yescharacteristic
61#15689674—21no—
62#15689674C2211yescharacteristic
63#126×D47—21no—
64#125×D47—21no—
65#125×D47C2211yescharacteristic, complemented
66#15689636—21no—
67#15689636—21no—
68#15689636C2211yescharacteristic
69#15689636C2211yescharacteristic
70#123×D47—21no—
71C22⋊Q8×D47C2211yescharacteristic, complemented
72C22⋊Q8×D47C2211yescharacteristic, complemented
73C4×#10625354C2211yescharacteristic
74C4×Q8×D47C2211yescharacteristic, complemented
75C4×D4×D47—21no—
76C4×D4×D47C2211yescharacteristic
77#117×D47—21no—
78#117×D47C2211yescharacteristic, complemented
79C2×C4⋊C4×D47C2211yescharacteristic, complemented
80#15689491C2211yescharacteristic, complemented
81#15689489C2211yescharacteristic, complemented
82#15689488C2211yescharacteristic, complemented
83#15689479C2211yescharacteristic, complemented
84#15689479C2211yescharacteristic, complemented
85#15689479C2211yescharacteristic, complemented
86#15689479C2211yescharacteristic, complemented
87#15689463C2211yescharacteristic, complemented
88#15689462C2211yescharacteristic, complemented
89#15689461C2211yescharacteristic, complemented
90#15689457C2211yescharacteristic, complemented
91#15689457C2211yescharacteristic, complemented
92#15689451C2211yescharacteristic, complemented
93#15689450C2211yescharacteristic, complemented
94#15689449C2211yescharacteristic, complemented
95#15689448C2211yescharacteristic, complemented
96#15689447C2211yescharacteristic, complemented
97#15689443C2211yescharacteristic, complemented
98#15689443C2211yescharacteristic, complemented
99#15689437C2211yescharacteristic, complemented
100#15689436C2211yescharacteristic, complemented
101#15689432C2211yescharacteristic, complemented
102#15689430C2211yescharacteristic, complemented
103#15689428C2211yescharacteristic, complemented
104#15689426C2211yescharacteristic, complemented
105#15689424C2211yescharacteristic, complemented
106#15689422C2211yescharacteristic, complemented
107#15689420C2211yescharacteristic, complemented
108#15689380C2211yescharacteristic, complemented
109#15689379C2211yescharacteristic, complemented
110#15689378C2211yescharacteristic, complemented
111#15689372C2211yescharacteristic, complemented
112#15689371C2211yescharacteristic, complemented
113#15689370C2211yescharacteristic, complemented
114#15689369C2211yescharacteristic, complemented
115#15689363C2211yescharacteristic, complemented
116#15689362C2211yescharacteristic, complemented
117#15689361C2211yescharacteristic, complemented
118#15689355C2211yescharacteristic, complemented
119#15689354C2211yescharacteristic, complemented
120#15689353C2211yescharacteristic, complemented
121#15689352C2211yescharacteristic, complemented
122#15689348C2211yescharacteristic, complemented
123#15689348C2211yescharacteristic, complemented
124#15689347C2211yescharacteristic, complemented
125#15689347C2211yescharacteristic, complemented
126#15689330C2211yescharacteristic, complemented
127#15689324C2211yescharacteristic, complemented
128#15689323C2211yescharacteristic, complemented
129#15689288C2211yescharacteristic, complemented
130#15689288C2211yescharacteristic, complemented
131#15689288C2211yescharacteristic, complemented
132#15689288C2211yescharacteristic, complemented
133#15689284C2211yescharacteristic, complemented
134#15689284C2211yescharacteristic, complemented
135#15689284C2211yescharacteristic, complemented
136#15689284C2211yescharacteristic, complemented
137#15689279C2211yescharacteristic, complemented
138#15689279C2211yescharacteristic, complemented
139#15689276C2211yescharacteristic, complemented
140#15689276C2211yescharacteristic, complemented
141#15689273C2211yescharacteristic, complemented
142#15689273C2211yescharacteristic, complemented
143#15689228C2211yescharacteristic, complemented
144#15689225C2211yescharacteristic, complemented
145#15689221C2211yescharacteristic, complemented
146Q16×Dic47C2211yescharacteristic, complemented
147#15689215C2211yescharacteristic, complemented
148#15689210C2211yescharacteristic, complemented
149#15689208C2211yescharacteristic, complemented
150#15689199C2211yescharacteristic, complemented
151#15689198C2211yescharacteristic, complemented
152#15689196C2211yescharacteristic, complemented
153#15689195C2211yescharacteristic
154#15689193C2211yescharacteristic, complemented
155C8×C22⋊D47C2211yescharacteristic, complemented
156(C22⋊D47)⋊C8C2211yescharacteristic, complemented
157#15689164C2211yescharacteristic, complemented
158#15689162C2211yescharacteristic, complemented
159#15689162C2211yescharacteristic, complemented
160#15689145C2211yescharacteristic, complemented
161#15689132C2211yescharacteristic, complemented
162#15689130C2211yescharacteristic, complemented
163#15689129C2211yescharacteristic, complemented
164#15689127C2211yescharacteristic, complemented
165#15689123C2211yescharacteristic
166#15689123C2211yescharacteristic
167#15689123C2211yescharacteristic
168#15689123C2211yescharacteristic, complemented
169#15689123C2211yescharacteristic, complemented
170#15689123C2211yescharacteristic, complemented
171#15689123C2211yescharacteristic, complemented
172#15689123C2211yescharacteristic, complemented
173#15689123C2211yescharacteristic, complemented
174#15689123C2211yescharacteristic, complemented
175#15689123C2211yescharacteristic, complemented
176#15689123C2211yescharacteristic, complemented
177#15689123C2211yescharacteristic, complemented
178#15689118C2211yescharacteristic, complemented
179#15689118C2211yescharacteristic, complemented
180#15689118C2211yescharacteristic, complemented
181#15689118C2211yescharacteristic, complemented
182C2×#13093948C2211yescharacteristic, complemented
183C2×#13093946C2211yescharacteristic, complemented
184C2×#13093944C2211yescharacteristic, complemented
185#15689085C2211yescharacteristic, complemented
186#15689085C2211yescharacteristic, complemented
187#15689075C2211yescharacteristic, complemented
188C47×#552C2211yescharacteristic
189D4×Q8×C47C2211yescharacteristic
190C47×#491C2211yescharacteristic, complemented
191C47×#485C2211yescharacteristic, complemented
192C47×#483C2211yescharacteristic, complemented
193C47×#479C2211yescharacteristic, complemented
194C47×#470C2211yescharacteristic, complemented
195C47×#467C2211yescharacteristic, complemented
196C47×#462C2211yescharacteristic, complemented
197C47×#451C2211yescharacteristic, complemented
198C47×#451C2211yescharacteristic, complemented
199C47×#441C2211yescharacteristic, complemented
200C47×#435C2211yescharacteristic
201C47×#419C2211yescharacteristic, complemented
202C2×#103×C47C2211yescharacteristic, complemented
203C2×#10625354—21no—
204C2×#10625354—21no—
205C2×#10625354—21no—
206C2×#10625354—21no—
207C2×#10625354—24no—
208C2×#10625354—24no—
209C2×#10625354—42no—
210C2×#10625354—42no—
211C2×#10625354C2311yescharacteristic
212C2×#10625354C2311yescharacteristic
213C2×#10625354C2311yescharacteristic
214C2×#10625354C2311yescharacteristic
215C2×#10625354C2311yescharacteristic
216C2×#10625354C2311yescharacteristic
217C2×#10625354C2311yescharacteristic
218C2×Q8×D47C2311yescharacteristic
219C22×D188—21no—
220C22×D188—21no—
221C22×D188C2311yescharacteristic
222C22×D188C2311yescharacteristic
223C2×D4×D47—21no—
224C2×D4×D47D411yescharacteristic
225C22×C4×D47—21no—
226C22×C4×D47—21no—
227C22×C4×D47—21no—
228C22×C4×D47C2311yescharacteristic
229C22×C4×D47C2311yescharacteristic
230#13094056—24no—
231#13094056—42no—
232#13094056—42no—
233C2×#10625337C2311yescharacteristic
234C2×#10625337C2311yescharacteristic
235C2×#10625337C2311yescharacteristic
236C2×#10625325C2311yescharacteristic
237C2×#10625325C2311yescharacteristic
238C2×#10625325C2311yescharacteristic
239C2×#10625336C2311yescharacteristic
240C2×#10625336C2311yescharacteristic
241C2×#10625336C2311yescharacteristic
242C2×#10625329C2311yescharacteristic
243C2×#10625324—42no—
244C2×#10625324C2311yescharacteristic
245C2×#10625324C2311yescharacteristic
246C2×#10625324C2311yescharacteristic
247C2×#10625324C2311yescharacteristic
248C2×#10625324C2311yescharacteristic
249C2×#10625324C2311yescharacteristic
250M16×D47—42no—
251C22×C47⋊C8C2311yescharacteristic
252C2×C8×D47C2311yescharacteristic
253C2×C8×D47C2311yescharacteristic
254#13094021—21no—
255#13094021C2311yescharacteristic
256#13094019—21no—
257#13094019—21no—
258#13094019—21no—
259#13094018—21no—
260#13094017—21no—
261#13094017—21no—
262#13094017—21no—
263#13094016—21no—
264#13094016C2311yescharacteristic
265#13094015—21no—
266#13094015—21no—
267#13094015C2311yescharacteristic
268#13094015C2311yescharacteristic
269#13094014—21no—
270#13094014—21no—
271#13094014—21no—
272#13094014—21no—
273#13094014—21no—
274#13094014—21no—
275#13094013—21no—
276#13094013—21no—
277#13094013C2311yescharacteristic
278#13094013C2311yescharacteristic
279#13094009—21no—
280#13094009—21no—
281#13094009—21no—
282#13094009—21no—
283#13094009—21no—
284#13094009—21no—
285#13094009—21no—
286#13094009—21no—
287#13094008—21no—
288#13094007—21no—
289#13094006—21no—
290#13094006—21no—
291#13094005—21no—
292#13094004C2311yescharacteristic
293#13094004C2311yescharacteristic
294#13094003C2311yescharacteristic
295#13094003C2311yescharacteristic
296#13094002—21no—
297#13094002—21no—
298#13094001—21no—
299#13094001—21no—
300#13094000—21no—
301#13094000—21no—
302#13094000C2311yescharacteristic
303#13094000C2311yescharacteristic
304#13094000C2311yescharacteristic
305#13094000C2311yescharacteristic
306#13093999—21no—
307#13093999—21no—
308#13093999—21no—
309#13093999—21no—
310#13093999—21no—
311#13093999—21no—
312#13093999—21no—
313#13093999—21no—
314#13093999C2311yescharacteristic
315#13093999C2311yescharacteristic
316#13093998—21no—
317#13093998—21no—
318#13093998C2311yescharacteristic
319#13093998C2311yescharacteristic
320#13093994—21no—
321#13093994—21no—
322#13093994—21no—
323#13093994—21no—
324#13093994—21no—
325#13093994—21no—
326Q8×Dic47C2311yescharacteristic
327Q8×Dic47C2311yescharacteristic
328C4×Dic94—21no—
329C4×Dic94C2311yescharacteristic
330#13093989—21no—
331#13093989C2311yescharacteristic
332C4×D188—21no—
333C4×D188—21no—
334C4×D188C2311yescharacteristic
335C4×D188C2311yescharacteristic
336D4×Dic47D411yescharacteristic
337#13093986—21no—
338#13093986—21no—
339#13093986—21no—
340#13093986—21no—
341#13093986—21no—
342#13093986D411yescharacteristic
343#13093986C2311yescharacteristic
344C4×C22⋊D47—21no—
345C4×C22⋊D47—21no—
346C4×C22⋊D47C2311yescharacteristic
347C4×C22⋊D47C2311yescharacteristic
348(C22⋊D47)⋊C4—21no—
349(C22⋊D47)⋊C4—21no—
350(C22⋊D47)⋊C4D411yescharacteristic
351(C22⋊D47)⋊C4D411yescharacteristic
352#13093983—21no—
353#13093983C2311yescharacteristic
354#13093982—21no—
355#13093982—21no—
356#13093982—21no—
357#13093982C2311yescharacteristic
358#13093982C2311yescharacteristic
359#13093982C2311yescharacteristic
360#13093981—21no—
361#13093981—21no—
362#13093981—21no—
363#13093980—21no—
364#13093980—21no—
365#13093980—21no—
366C2×C4⋊Dic47C2311yescharacteristic
367C2×Dic47⋊C4—21no—
368C4⋊C4×D47—21no—
369C4⋊C4×D47—21no—
370C4⋊C4×D47—21no—
371C4⋊C4×D47—21no—
372C4⋊C4×D47—21no—
373C4⋊C4×D47—21no—
374C4⋊C4×D47—21no—
375C4⋊C4×D47—21no—
376C4⋊C4×D47D411yescharacteristic
377C4⋊C4×D47C2311yescharacteristic
378C4⋊C4×D47C2311yescharacteristic
379C4⋊C4×D47C2311yescharacteristic
380C4⋊C4×D47C2311yescharacteristic
381C4⋊C4×D47C2311yescharacteristic
382C22⋊C4×D47—21no—
383C22⋊C4×D47—21no—
384C22⋊C4×D47—21no—
385C22⋊C4×D47—21no—
386C22⋊C4×D47—21no—
387C22⋊C4×D47D411yescharacteristic
388C22⋊C4×D47D411yescharacteristic
389C42×D47—21no—
390C42×D47—21no—
391C42×D47—21no—
392C42×D47C2311yescharacteristic
393#13093958C2311yescharacteristic
394#13093958C2311yescharacteristic
395#13093957C2311yescharacteristic
396#13093957C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093956C2311yescharacteristic
399#13093955C2311yescharacteristic
400#13093955C2311yescharacteristic
401#13093955C2311yescharacteristic
402C4⋊(C47⋊C8)C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093948C2311yescharacteristic
407#13093948C2311yescharacteristic
408#13093948C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093946C2311yescharacteristic
426#13093944C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433#13093944C2311yescharacteristic
434#13093944C2311yescharacteristic
435C22⋊(C47⋊C8)C2311yescharacteristic
436C22⋊(C47⋊C8)C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441#13093935C2311yescharacteristic
442C8×Dic47C2311yescharacteristic
443C8×Dic47C2311yescharacteristic
444C22×Q8×C47C2311yescharacteristic
445C22×Q8×C47C2311yescharacteristic
446C2×Q16×C47C2311yescharacteristic
447C2×Q16×C47C2311yescharacteristic
448C2×Q16×C47C2311yescharacteristic
449C2×M16×C47C2311yescharacteristic
450C22×C8×C47C2311yescharacteristic
451C4⋊Q8×C47—21no—
452C4⋊Q8×C47C2311yescharacteristic
453#126×C47—21no—
454#125×C47—21no—
455#125×C47C2311yescharacteristic
456#123×C47—21no—
457C22⋊Q8×C47—21no—
458C22⋊Q8×C47—21no—
459C22⋊Q8×C47C2311yescharacteristic
460C22⋊Q8×C47C2311yescharacteristic
461C22⋊Q8×C47C2311yescharacteristic
462C22⋊Q8×C47C2311yescharacteristic
463C4×Q8×C47C2311yescharacteristic
464C4×Q8×C47C2311yescharacteristic
465C4×D4×C47—21no—
466C4×D4×C47C2311yescharacteristic
467#117×C47—21no—
468#117×C47C2311yescharacteristic
469C2×C4⋊C4×C47C2311yescharacteristic
470#107×C47C2311yescharacteristic
471#106×C47C2311yescharacteristic
472#106×C47C2311yescharacteristic
473C4⋊C8×C47C2311yescharacteristic
474#103×C47C2311yescharacteristic
475#103×C47C2311yescharacteristic
476#103×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#103×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#103×C47C2311yescharacteristic
483#103×C47C2311yescharacteristic
484C22⋊C8×C47C2311yescharacteristic
485C22⋊C8×C47C2311yescharacteristic
486#97×C47C2311yescharacteristic
487C23×D47—21no—
488C23×D47—21no—
489C23×D47C2×D411yescharacteristic
490C23×D47C2×D411yescharacteristic
491C2×Q8×C47—21no—
492C2×Q8×C47—21no—
493C2×Q8×C47—22no—
494C2×Q8×C47—22no—
495C2×Q8×C47—41no—
496C2×Q8×C47—41no—
497C2×Q8×C47C2411yescharacteristic
498C2×Q8×C47C2411yescharacteristic
499C2×Q8×C47C2411yescharacteristic
500C2×Q8×C47C2411yescharacteristic
501C2×D4×C47C2×D411yescharacteristic
502C22×C4×C47—21no—
503C22×C4×C47—21no—
504C22×C4×C47—21no—
505C22×C4×C47C2411yescharacteristic
506C22×C4×C47C2411yescharacteristic
507C2×C22⋊D47—21no—
508C2×C22⋊D47—21no—
509C2×C22⋊D47C2×D411yescharacteristic
510C2×C22⋊D47C2×D411yescharacteristic
511C22×Dic47—21no—
512C22×Dic47C2×D411yescharacteristic
513C22×Dic47C2×D411yescharacteristic
514#10625354—22no—
515#10625354—22no—
516#10625354—22no—
517#10625354—22no—
518#10625354—22no—
519#10625354—22no—
520#10625354—22no—
521#10625354—22no—
522#10625354—22no—
523#10625354—44no—
524#10625354—44no—
525#10625354—41no—
526#10625354—41no—
527#10625354—41no—
528#10625354—41no—
529#10625354—44no—
530#10625354—44no—
531#10625354#4114yes—
532Q8×D47—22no—
533Q8×D47—22no—
534D4×D47—42no—
535D4×D47—44no—
536C2×D188—21no—
537C2×D188—22no—
538C2×D188—22no—
539C2×D188—21no—
540C2×D188—21no—
541C2×D188—21no—
542C2×D188—21no—
543C2×D188—21no—
544C2×D188—21no—
545C2×D188—21no—
546C2×D188—21no—
547C2×D188—21no—
548C2×D188—21no—
549C2×D188—21no—
550C2×D188—21no—
551C2×D188—41no—
552C2×D188—41no—
553C2×D188—44no—
554C2×D188—44no—
555C2×D188C2×D411yescharacteristic
556C2×D188C2411yescharacteristic
557C2×D188C2411yescharacteristic
558C2×D188C2411yescharacteristic
559C2×C4×D47—21no—
560C2×C4×D47—22no—
561C2×C4×D47—22no—
562C2×C4×D47—22no—
563C2×C4×D47—22no—
564C2×C4×D47—21no—
565C2×C4×D47—21no—
566C2×C4×D47—21no—
567C2×C4×D47—21no—
568C2×C4×D47—21no—
569C2×C4×D47—21no—
570C2×C4×D47—21no—
571C2×C4×D47—21no—
572C2×C4×D47—21no—
573C2×C4×D47—21no—
574C2×C4×D47—21no—
575C2×C4×D47—21no—
576C2×C4×D47—21no—
577C2×C4×D47—21no—
578C2×C4×D47—44no—
579C2×C4×D47—44no—
580C2×C4×D47—44no—
581C2×C4×D47C2×D411yescharacteristic
582C2×C4×D47C2×D411yescharacteristic
583C2×C4×D47C2×D411yescharacteristic
584C2×C4×D47C2×D411yescharacteristic
585C2×C4×D47C2×D411yescharacteristic
586C2×C4×D47C2×D411yescharacteristic
587C2×C4×D47C2411yescharacteristic
588C2×C4×D47C2411yescharacteristic
589C2×C4×D47C2411yescharacteristic
590C2×Dic94—21no—
591C2×Dic94C2411yescharacteristic
592Q16×C47—22no—
593Q16×C47—41no—
594Q16×C47—41no—
595M16×C47—41no—
596C2×C8×C47—41no—
597C2×C8×C47C2411yescharacteristic
598C2×C8×C47C2411yescharacteristic
599C2×C8×C47C2411yescharacteristic
600C2×C8×C47C2411yescharacteristic
601C4⋊C4×C47—21no—
602C4⋊C4×C47—21no—
603C4⋊C4×C47—21no—
604C4⋊C4×C47—21no—
605C4⋊C4×C47—21no—
606C4⋊C4×C47—21no—
607C4⋊C4×C47—21no—
608C4⋊C4×C47—21no—
609C4⋊C4×C47—21no—
610C4⋊C4×C47—21no—
611C4⋊C4×C47—21no—
612C4⋊C4×C47C2×D411yescharacteristic
613C4⋊C4×C47C2411yescharacteristic
614C4⋊C4×C47C2411yescharacteristic
615C4⋊C4×C47C2411yescharacteristic
616C4⋊C4×C47C2411yescharacteristic
617C22⋊C4×C47—21no—
618C22⋊C4×C47—21no—
619C22⋊C4×C47—21no—
620C22⋊C4×C47—21no—
621C22⋊C4×C47—21no—
622C22⋊C4×C47C2×D411yescharacteristic
623C22⋊C4×C47C2×D411yescharacteristic
624C42×C47—21no—
625C42×C47—21no—
626C42×C47—21no—
627C42×C47C2411yescharacteristic
628C22⋊Dic47—21no—
629C22⋊Dic47—21no—
630C22⋊Dic47—21no—
631C22⋊Dic47C2×D411yescharacteristic
632C22⋊Dic47C2×D411yescharacteristic
633#10625337—22no—
634#10625337—41no—
635#10625337—41no—
636#10625336—22no—
637#10625336—41no—
638#10625336—41no—
639(C2×D47)⋊C4—21no—
640(C2×D47)⋊C4—21no—
641(C2×D47)⋊C4—21no—
642(C2×D47)⋊C4—21no—
643(C2×D47)⋊C4—21no—
644(C2×D47)⋊C4—21no—
645(C2×D47)⋊C4—21no—
646(C2×D47)⋊C4—21no—
647(C2×D47)⋊C4—21no—
648(C2×D47)⋊C4—21no—
649(C2×D47)⋊C4—21no—
650(C2×D47)⋊C4—21no—
651(C2×D47)⋊C4—21no—
652(C2×D47)⋊C4—21no—
653(C2×D47)⋊C4—21no—
654(C2×D47)⋊C4—21no—
655(C2×D47)⋊C4—21no—
656(C2×D47)⋊C4—21no—
657(C2×D47)⋊C4—21no—
658(C2×D47)⋊C4C2×D411yescharacteristic
659(C2×D47)⋊C4C2×D411yescharacteristic
660(C2×D47)⋊C4C2×D411yescharacteristic
661(C2×D47)⋊C4C2×D411yescharacteristic
662C4⋊Dic47—21no—
663C4⋊Dic47—21no—
664C4⋊Dic47—21no—
665C4⋊Dic47—21no—
666C4⋊Dic47—21no—
667C4⋊Dic47—21no—
668C4⋊Dic47—21no—
669C4⋊Dic47C2×D411yescharacteristic
670C4⋊Dic47C2411yescharacteristic
671C4⋊Dic47C2411yescharacteristic
672C4⋊Dic47C2411yescharacteristic
673C4⋊Dic47C2411yescharacteristic
674Dic47⋊C4—21no—
675Dic47⋊C4—21no—
676Dic47⋊C4—21no—
677Dic47⋊C4—21no—
678Dic47⋊C4—21no—
679Dic47⋊C4—21no—
680Dic47⋊C4—21no—
681Dic47⋊C4—21no—
682Dic47⋊C4—21no—
683Dic47⋊C4—21no—
684Dic47⋊C4—21no—
685Dic47⋊C4—21no—
686Dic47⋊C4—21no—
687Dic47⋊C4—21no—
688Dic47⋊C4—21no—
689Dic47⋊C4—21no—
690Dic47⋊C4—21no—
691Dic47⋊C4C2×D411yescharacteristic
692Dic47⋊C4C2×D411yescharacteristic
693C4×Dic47—21no—
694C4×Dic47—21no—
695C4×Dic47—21no—
696C4×Dic47—21no—
697C4×Dic47—21no—
698C4×Dic47—21no—
699C4×Dic47—21no—
700C4×Dic47—21no—
701C4×Dic47C2×D411yescharacteristic
702C4×Dic47C2×D411yescharacteristic
703C4×Dic47C2411yescharacteristic
704#10625329—41no—
705C2×C47⋊C8—41no—
706C2×C47⋊C8C2411yescharacteristic
707C2×C47⋊C8C2411yescharacteristic
708C2×C47⋊C8C2411yescharacteristic
709C2×C47⋊C8C2411yescharacteristic
710#10625325—22no—
711#10625325—41no—
712#10625325—41no—
713#10625324—22no—
714#10625324—22no—
715#10625324—22no—
716#10625324—22no—
717#10625324—41no—
718#10625324—41no—
719C8×D47—41no—
720C8×D47—41no—
721C23×C47C22×D411yescharacteristic
722C23×C47C22×D411yescharacteristic
723C22×D47—22no—
724C22×D47—21no—
725C22×D47—22no—
726C22×D47—22no—
727C22×D47—21no—
728C22×D47—21no—
729C22×D47—41no—
730C22×D47—41no—
731C22×D47—41no—
732C22×D47—42no—
733C22×D47—42no—
734C22×D47—42no—
735C22×D47—42no—
736C22×D47—81no—
737C22×D47—81no—
738C22×D47C22×D411yescharacteristic
739C22×D47C22×D411yescharacteristic
740C22×D47C22×D411yescharacteristic
741Q8×C47—21no—
742Q8×C47—21no—
743Q8×C47—21no—
744Q8×C47—21no—
745Q8×C47—21no—
746Q8×C47—21no—
747Q8×C47—21no—
748Q8×C47—42no—
749Q8×C47—42no—
750Q8×C47C2×#4112yes—
751D4×C47—22no—
752C2×C4×C47—21no—
753C2×C4×C47—21no—
754C2×C4×C47—21no—
755C2×C4×C47—21no—
756C2×C4×C47—21no—
757C2×C4×C47—21no—
758C2×C4×C47—21no—
759C2×C4×C47—21no—
760C2×C4×C47—21no—
761C2×C4×C47—21no—
762C2×C4×C47—21no—
763C2×C4×C47—21no—
764C2×C4×C47—42no—
765C2×C4×C47—42no—
766C2×C4×C47—42no—
767C2×C4×C47C22×D411yescharacteristic
768C2×C4×C47C22×D411yescharacteristic
769C2×C4×C47C22×D411yescharacteristic
770C2×C4×C47C22×D411yescharacteristic
771C2×C4×C47C2511yescharacteristic
772C22⋊D47—22no—
773C22⋊D47—41no—
774C22⋊D47—42no—
775C22⋊D47—42no—
776C2×Dic47—22no—
777C2×Dic47—22no—
778C2×Dic47—21no—
779C2×Dic47—21no—
780C2×Dic47—21no—
781C2×Dic47—21no—
782C2×Dic47—21no—
783C2×Dic47—42no—
784C2×Dic47C22×D411yescharacteristic
785C2×Dic47C22×D411yescharacteristic
786C2×Dic47C22×D411yescharacteristic
787C2×Dic47C22×D411yescharacteristic
788C2×Dic47C22×D411yescharacteristic
789D188—24no—
790D188—21no—
791D188—21no—
792D188—21no—
793D188—21no—
794D188—21no—
795D188—41no—
796D188—42no—
797D188—42no—
798D188—42no—
799D188—42no—
800D188—42no—
801D188—42no—
802D188—42no—
803D188—42no—
804D188—42no—
805D188—81no—
806D188—81no—
807D188—81no—
808D188C2×#4112yes—
809C4×D47—22no—
810C4×D47—22no—
811C4×D47—21no—
812C4×D47—21no—
813C4×D47—21no—
814C4×D47—21no—
815C4×D47—22no—
816C4×D47—22no—
817C4×D47—24no—
818C4×D47—41no—
819C4×D47—41no—
820C4×D47—42no—
821C4×D47—42no—
822C4×D47—42no—
823C4×D47—42no—
824C4×D47—42no—
825C4×D47—42no—
826C4×D47—42no—
827C4×D47—42no—
828C4×D47—42no—
829C4×D47—42no—
830C4×D47—42no—
831C4×D47—42no—
832C4×D47—42no—
833C4×D47—81no—
834C4×D47C2×#4112yes—
835C4×D47H(5,𝔽2)12yes—
836Dic94—21no—
837Dic94—21no—
838Dic94—42no—
839C8×C47—21no—
840C8×C47—21no—
841C8×C47—21no—
842C8×C47—21no—
843C47⋊C8—21no—
844C47⋊C8—21no—
845C47⋊C8—21no—
846C47⋊C8—21no—
847#61163—471nomaximal, Sylow
848C22×C47—21no—
849C22×C47—21no—
850C22×C47—21no—
851C22×C47—21no—
852C22×C47—21no—
853C22×C47#57512yes—
854C22×C47C23×D411yescharacteristic
855C2×D47—21no—
856C2×D47—21no—
857C2×D47—21no—
858C2×D47—21no—
859C2×D47—21no—
860C2×D47—21no—
861C2×D47—22no—
862C2×D47—21no—
863C2×D47—21no—
864C2×D47—44no—
865C2×D47—41no—
866C2×D47—41no—
867C2×D47—41no—
868C2×D47—41no—
869C2×D47—41no—
870C2×D47—41no—
871C2×D47—41no—
872C2×D47—41no—
873C2×D47—82no—
874C2×D47—84no—
875C2×D47—84no—
876C2×D47#54612yes—
877C4×C47—21no—
878C4×C47—21no—
879C4×C47—21no—
880C4×C47—22no—
881C4×C47—21no—
882C4×C47—41no—
883C4×C47—41no—
884C4×C47—41no—
885C4×C47—41no—
886C4×C47—41no—
887C4×C47—41no—
888C4×C47—41no—
889C4×C47C22×#4111yescharacteristic
890C4×C47C2×H(5,𝔽2)11yescharacteristic
891Dic47—21no—
892Dic47—21no—
893Dic47—21no—
894Dic47—21no—
895Dic47—41no—
896Dic47—41no—
897Dic47—41no—
898Dic47—41no—
899Dic47—41no—
900Dic47#54612yes—
901C2×#552—471no—
902D4×#41—471no—
903#3327—471no—
904#3327—471no—
905#3323—471no—
906#3323—471no—
907#3317—471no—
908#3317—471no—
909#3315—471no—
910#3315—471no—
911#3312—471no—
912#3312D4711yescharacteristic, complemented
913#3310—471no—
914#3310—471no—
915#3300—471no—
916#3300—471no—
917#3296—471no—
918#3296—471no—
919#3142—471no—
920#3093—471no—
921#3092—471no—
922#3080—471no—
923#3056—471no—
924#3056—471no—
925#3037—471no—
926#3007—471no—
927#3007—471no—
928C4×#137—471no—
929D4×M16—471no—
930#2896—471no—
931C2×#417—471no—
932C2×C47—22no—
933C2×C47—41no—
934C2×C47C2×#54611yescharacteristic
935C2×C47C2×#57511yescharacteristic
936C2×C47#358611yescharacteristic
937D47—22no—
938D47—41no—
939D47—41no—
940D47—42no—
941D47—81no—
942D47—81no—
943C22×#41—471no—
944C22×#41—471no—
945C2×#137—471no—
946C2×#137—471no—
947C2×#137—471no—
948C22×M16—471no—
949C22×M16—471no—
950#552—471no—
951#552—471no—
952#552—471no—
953#552—471no—
954#552—471no—
955#552—471no—
956#552—471no—
957#552—941no—
958#552—941no—
959#552—941no—
960#552—941no—
961#552C2×D4711yescharacteristic
962#550—471no—
963D4×Q8C2×D4711yescharacteristic
964#548—471no—
965#548—471no—
966#547—471no—
967#547—941no—
968#546—471no—
969#546—471no—
970#546—941no—
971#546—941no—
972D42—471no—
973D42—941no—
974#532—471no—
975#532—941no—
976C2×#126—941no—
977C2×#125—471no—
978C2×#125—941no—
979#525—471no—
980#525—471no—
981#525—941no—
982#525—941no—
983C2×#123—941no—
984C2×C22⋊Q8—471no—
985C2×C22⋊Q8—471no—
986C4×#41—471no—
987C2×C4×Q8—471no—
988C2×C4×D4—471no—
989C2×C4×D4—941no—
990C2×#117—471no—
991C2×#117—941no—
992C22×C4⋊C4—471no—
993#491—471no—
994#491C2×D4711yescharacteristic, complemented
995#490—471no—
996#490—471no—
997#488—471no—
998#488—471no—
999#488—471no—
1000#488—471no—
1001#485—471no—
1002#485—471no—
1003#485—471no—
1004#485C2×D4711yescharacteristic, complemented
1005#484—471no—
1006#484—471no—
1007#483—471no—
1008#483C2×D4711yescharacteristic, complemented
1009#482—471no—
1010#482—471no—
1011#482—471no—
1012#482—471no—
1013#481—471no—
1014#481—471no—
1015#480—471no—
1016#480—471no—
1017#479—471no—
1018#479—471no—
1019#479—471no—
1020#479C2×D4711yescharacteristic, complemented
1021#478—471no—
1022#478—471no—
1023#478—471no—
1024#478—471no—
1025#470—471no—
1026#470—471no—
1027#470—471no—
1028#470C2×D4711yescharacteristic, complemented
1029#468—471no—
1030#468—471no—
1031#468—471no—
1032#468—471no—
1033#467—471no—
1034#467—471no—
1035#467—471no—
1036#467C2×D4711yescharacteristic, complemented
1037#465—471no—
1038#465—471no—
1039#465—471no—
1040#465—471no—
1041#464—471no—
1042#464—471no—
1043#464—471no—
1044#464—471no—
1045#462—471no—
1046#462C2×D4711yescharacteristic, complemented
1047#460—471no—
1048#460—471no—
1049#452—471no—
1050#452—471no—
1051#452—471no—
1052#452—471no—
1053#452—471no—
1054#452—471no—
1055#452—471no—
1056#452—471no—
1057#451—471no—
1058#451—471no—
1059#451C2×D4711yescharacteristic, complemented
1060#451C2×D4711yescharacteristic, complemented
1061#450—471no—
1062#450—471no—
1063#450—471no—
1064#450—471no—
1065#441—471no—
1066#441C2×D4711yescharacteristic, complemented
1067#440—471no—
1068#440—471no—
1069C4×Q16—471no—
1070C4×Q16—471no—
1071C4×SD16—471no—
1072C4×SD16—471no—
1073#436—471no—
1074#436—471no—
1075#435—471no—
1076#435—471no—
1077#435—471no—
1078#435C2×D4711yescharacteristic
1079C8×D4—471no—
1080C8×D4—471no—
1081#428—471no—
1082#428—471no—
1083#428—471no—
1084#423—471no—
1085#419—471no—
1086#419—471no—
1087#419C2×D4711yescharacteristic, complemented
1088#418—471no—
1089#418—471no—
1090#417—471no—
1091#417—471no—
1092#417—471no—
1093#417—471no—
1094#417—471no—
1095#417—471no—
1096#417—471no—
1097#417—471no—
1098#417—471no—
1099#417—471no—
1100#417—471no—
1101#417—471no—
1102#417—471no—
1103#416—471no—
1104#416—471no—
1105#416—471no—
1106#416—471no—
1107C2×#103—471no—
1108C2×#103C2×D4711yescharacteristic, complemented
1109C2×#102—471no—
1110C2×#102—471no—
1111#407—471no—
1112#407—471no—
1113C4×M16—471no—
1114C47#6116311yescharacteristic, complemented, Sylow
1115C2×#41—471no—
1116C2×#41—471no—
1117C2×#41—471no—
1118C2×#41—471no—
1119C2×#41—471no—
1120C2×#41—471no—
1121C2×#41—471no—
1122C2×#41—941no—
1123C2×#41—941no—
1124C2×#41—941no—
1125C2×#41—941no—
1126C2×#41—944no—
1127C2×#41—944no—
1128C2×#41—1882no—
1129C2×#41—1882no—
1130C22×Q8—471no—
1131C22×Q8C22×D4711yescharacteristic
1132C22×Q8C22×D4711yescharacteristic
1133C22×D4—471no—
1134C22×D4—471no—
1135C22×D4—471no—
1136C22×D4—941no—
1137C22×D4—941no—
1138C22×D4—941no—
1139C23×C4—471no—
1140C23×C4—471no—
1141C23×C4—941no—
1142C23×C4—941no—
1143C23×C4—941no—
1144#137—944no—
1145#137—1882no—
1146#137—1882no—
1147C2×Q16—471no—
1148C2×Q16—471no—
1149C2×Q16—471no—
1150C2×Q16C22×D4711yescharacteristic
1151C2×Q16C22×D4711yescharacteristic
1152C2×Q16C22×D4711yescharacteristic
1153C2×SD16—471no—
1154C2×SD16—471no—
1155C2×SD16—471no—
1156C2×SD16—471no—
1157C2×SD16—471no—
1158C2×SD16—471no—
1159C2×M16—471no—
1160C2×M16—471no—
1161C2×M16—471no—
1162C2×M16—471no—
1163C2×M16—471no—
1164C2×M16—471no—
1165C2×M16—471no—
1166C2×M16—1882no—
1167C2×M16—1882no—
1168C2×M16C22×D4711yescharacteristic
1169C22×C8—471no—
1170C22×C8—471no—
1171C22×C8—471no—
1172C22×C8C22×D4711yescharacteristic
1173C4⋊Q8—21no—
1174C4⋊Q8C22×D4711yescharacteristic
1175#127—471no—
1176#127—941no—
1177#126—21no—
1178#126—941no—
1179#126—941no—
1180#126—941no—
1181#126—941no—
1182#126—941no—
1183#126—941no—
1184#126—941no—
1185#125—21no—
1186#125—471no—
1187#125—471no—
1188#125—471no—
1189#125—941no—
1190#125—941no—
1191#125—941no—
1192#125—941no—
1193#125—941no—
1194#125—941no—
1195#125—941no—
1196#125—941no—
1197#125—941no—
1198#125C22×D4711yescharacteristic
1199#124—471no—
1200#124—471no—
1201#124—941no—
1202#124—941no—
1203#123—21no—
1204#123—941no—
1205#123—941no—
1206#123—941no—
1207#123—941no—
1208#123—941no—
1209#123—941no—
1210#123—941no—
1211#123—941no—
1212#123—941no—
1213#123—941no—
1214#123—941no—
1215#123—941no—
1216#123—941no—
1217C22⋊Q8—21no—
1218C22⋊Q8—21no—
1219C22⋊Q8—471no—
1220C22⋊Q8—471no—
1221C22⋊Q8—471no—
1222C22⋊Q8—471no—
1223C22⋊Q8—471no—
1224C22⋊Q8—471no—
1225C22⋊Q8—471no—
1226C22⋊Q8—471no—
1227C22⋊Q8—941no—
1228C22⋊Q8—941no—
1229C22⋊Q8—941no—
1230C22⋊Q8—941no—
1231C22⋊Q8—941no—
1232C22⋊Q8—941no—
1233C22⋊Q8C22×D4711yescharacteristic
1234C22⋊Q8C22×D4711yescharacteristic
1235C22⋊Q8C22×D4711yescharacteristic
1236C22⋊Q8C22×D4711yescharacteristic
1237#121—471no—
1238#121—471no—
1239#121—471no—
1240#121—471no—
1241#121—941no—
1242#121—941no—
1243#121—941no—
1244#121—941no—
1245#121—941no—
1246#121—941no—
1247#121—941no—
1248#121—941no—
1249#121—941no—
1250#121—941no—
1251#120—941no—
1252#120—941no—
1253#120—941no—
1254#120—941no—
1255#120—941no—
1256#120—941no—
1257C4×Q8—471no—
1258C4×Q8—471no—
1259C4×Q8—471no—
1260C4×Q8—471no—
1261C4×Q8—941no—
1262C4×Q8—941no—
1263C4×Q8C22×D4711yescharacteristic
1264C4×Q8C22×D4711yescharacteristic
1265C4×D4—21no—
1266C4×D4—471no—
1267C4×D4—471no—
1268C4×D4—471no—
1269C4×D4—471no—
1270C4×D4—471no—
1271C4×D4—471no—
1272C4×D4—471no—
1273C4×D4—471no—
1274C4×D4—471no—
1275C4×D4—941no—
1276C4×D4—941no—
1277C4×D4—941no—
1278C4×D4—941no—
1279C4×D4—941no—
1280C4×D4—941no—
1281C4×D4—941no—
1282C4×D4—941no—
1283C4×D4—941no—
1284C4×D4—941no—
1285C4×D4—941no—
1286C4×D4C22×D4711yescharacteristic
1287#117—21no—
1288#117—471no—
1289#117—471no—
1290#117—471no—
1291#117—471no—
1292#117—941no—
1293#117—941no—
1294#117—941no—
1295#117—941no—
1296#117—941no—
1297#117—941no—
1298#117—941no—
1299#117—941no—
1300#117—941no—
1301#117—941no—
1302#117C22×D4711yescharacteristic
1303C2×C4⋊C4—471no—
1304C2×C4⋊C4—471no—
1305C2×C4⋊C4—471no—
1306C2×C4⋊C4—471no—
1307C2×C4⋊C4—471no—
1308C2×C4⋊C4—471no—
1309C2×C4⋊C4—471no—
1310C2×C4⋊C4—941no—
1311C2×C4⋊C4—941no—
1312C2×C4⋊C4—941no—
1313C2×C4⋊C4—941no—
1314C2×C4⋊C4—941no—
1315C2×C4⋊C4—941no—
1316C2×C4⋊C4—941no—
1317C2×C4⋊C4—941no—
1318C2×C4⋊C4—941no—
1319C2×C4⋊C4C22×D4711yescharacteristic
1320C2×C22⋊C4—471no—
1321C2×C22⋊C4—471no—
1322C2×C22⋊C4—941no—
1323C2×C22⋊C4—941no—
1324C2×C22⋊C4—941no—
1325C2×C22⋊C4—941no—
1326C2×C22⋊C4—941no—
1327C2×C42—471no—
1328C2×C42—941no—
1329C2×C42—941no—
1330C2×C42—941no—
1331#107—471no—
1332#107—471no—
1333#107—471no—
1334#107—471no—
1335#107—471no—
1336#107C22×D4711yescharacteristic
1337#106—471no—
1338#106—471no—
1339#106—471no—
1340#106—471no—
1341#106C22×D4711yescharacteristic
1342#106C22×D4711yescharacteristic
1343C4⋊C8—471no—
1344C4⋊C8—471no—
1345C4⋊C8—471no—
1346C4⋊C8C22×D4711yescharacteristic
1347#103—471no—
1348#103—471no—
1349#103—471no—
1350#103—471no—
1351#103—471no—
1352#103—471no—
1353#103—471no—
1354#103—471no—
1355#103—471no—
1356#103—471no—
1357#103—471no—
1358#103—471no—
1359#103C22×D4711yescharacteristic
1360#103C22×D4711yescharacteristic
1361#103C22×D4711yescharacteristic
1362#103C22×D4711yescharacteristic
1363#103C22×D4711yescharacteristic
1364#103C22×D4711yescharacteristic
1365#103C22×D4711yescharacteristic
1366#103C22×D4711yescharacteristic
1367#103C22×D4711yescharacteristic
1368#103C22×D4711yescharacteristic
1369#102—471no—
1370#102—471no—
1371#102—471no—
1372#102—471no—
1373#102—471no—
1374#102—471no—
1375#102—471no—
1376#102—471no—
1377#102—471no—
1378#102—471no—
1379#102—471no—
1380#102—471no—
1381#102—471no—
1382#102—471no—
1383#102—471no—
1384#102—471no—
1385#102—471no—
1386#102—471no—
1387C22⋊C8—471no—
1388C22⋊C8—471no—
1389C22⋊C8—471no—
1390C22⋊C8—471no—
1391C22⋊C8—471no—
1392C22⋊C8—471no—
1393C22⋊C8C22×D4711yescharacteristic
1394C22⋊C8C22×D4711yescharacteristic
1395#97—471no—
1396#97C22×D4711yescharacteristic
1397C4×C8—471no—
1398C4×C8—471no—
1399C24—471no—
1400C24—471no—
1401C24—941no—
1402C24—941no—
1403#41—474no—
1404#41—942no—
1405#41—942no—
1406#41—942no—
1407#41—942no—
1408#41—942no—
1409#41—942no—
1410#41—942no—
1411#41—942no—
1412#41—942no—
1413#41—1884no—
1414#41—1884no—
1415#41—1881no—
1416#41—1881no—
1417#41—1881no—
1418#41—1881no—
1419#41—1884no—
1420#41—1884no—
1421C2×Q8—21no—
1422C2×Q8—21no—
1423C2×Q8—22no—
1424C2×Q8—22no—
1425C2×Q8—41no—
1426C2×Q8—41no—
1427C2×Q8—471no—
1428C2×Q8—941no—
1429C2×Q8—942no—
1430C2×Q8—942no—
1431C2×Q8C23×D4711yescharacteristic
1432C2×Q8C23×D4711yescharacteristic
1433C2×Q8C23×D4711yescharacteristic
1434C2×Q8C23×D4711yescharacteristic
1435C2×D4—471no—
1436C2×D4—471no—
1437C2×D4—471no—
1438C2×D4—471no—
1439C2×D4—471no—
1440C2×D4—471no—
1441C2×D4—942no—
1442C2×D4—942no—
1443C2×D4—941no—
1444C2×D4—941no—
1445C2×D4—941no—
1446C2×D4—941no—
1447C2×D4—941no—
1448C2×D4—941no—
1449C2×D4—941no—
1450C2×D4—941no—
1451C2×D4—941no—
1452C2×D4—941no—
1453C2×D4—941no—
1454C2×D4—941no—
1455C2×D4—941no—
1456C2×D4—941no—
1457C2×D4—941no—
1458C2×D4—1881no—
1459C2×D4—1881no—
1460C2×D4—1884no—
1461C2×D4—1884no—
1462C2×D4—1882no—
1463C2×D4—1884no—
1464C2×D4D4×D4711yescharacteristic
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—471no—
1469C22×C4—471no—
1470C22×C4—471no—
1471C22×C4—471no—
1472C22×C4—471no—
1473C22×C4—471no—
1474C22×C4—471no—
1475C22×C4—471no—
1476C22×C4—471no—
1477C22×C4—471no—
1478C22×C4—471no—
1479C22×C4—941no—
1480C22×C4—942no—
1481C22×C4—942no—
1482C22×C4—942no—
1483C22×C4—942no—
1484C22×C4—941no—
1485C22×C4—941no—
1486C22×C4—941no—
1487C22×C4—941no—
1488C22×C4—941no—
1489C22×C4—941no—
1490C22×C4—941no—
1491C22×C4—941no—
1492C22×C4—941no—
1493C22×C4—941no—
1494C22×C4—941no—
1495C22×C4—941no—
1496C22×C4—941no—
1497C22×C4—941no—
1498C22×C4—941no—
1499C22×C4—1884no—
1500C22×C4—1884no—
1501C22×C4—1884no—
1502C22×C4C23×D4711yescharacteristic
1503C22×C4C23×D4711yescharacteristic
1504Q16—22no—
1505Q16—41no—
1506Q16—41no—
1507Q16—942no—
1508Q16—1881no—
1509Q16—1881no—
1510SD16—942no—
1511SD16—942no—
1512SD16—1881no—
1513SD16—1881no—
1514SD16—1881no—
1515SD16—1881no—
1516M16—41no—
1517M16—942no—
1518M16—942no—
1519M16—942no—
1520M16—942no—
1521M16—1881no—
1522M16—1881no—
1523M16—1881no—
1524C2×C8—41no—
1525C2×C8—471no—
1526C2×C8—471no—
1527C2×C8—471no—
1528C2×C8—471no—
1529C2×C8—1881no—
1530C2×C8—1881no—
1531C2×C8—1881no—
1532C2×C8C23×D4711yescharacteristic
1533C2×C8C23×D4711yescharacteristic
1534C2×C8C23×D4711yescharacteristic
1535C2×C8C23×D4711yescharacteristic
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—21no—
1543C4⋊C4—21no—
1544C4⋊C4—21no—
1545C4⋊C4—21no—
1546C4⋊C4—21no—
1547C4⋊C4—471no—
1548C4⋊C4—471no—
1549C4⋊C4—471no—
1550C4⋊C4—471no—
1551C4⋊C4—471no—
1552C4⋊C4—471no—
1553C4⋊C4—471no—
1554C4⋊C4—941no—
1555C4⋊C4—941no—
1556C4⋊C4—941no—
1557C4⋊C4—941no—
1558C4⋊C4—941no—
1559C4⋊C4—941no—
1560C4⋊C4—941no—
1561C4⋊C4—941no—
1562C4⋊C4—941no—
1563C4⋊C4—941no—
1564C4⋊C4—941no—
1565C4⋊C4—941no—
1566C4⋊C4—941no—
1567C4⋊C4—941no—
1568C4⋊C4—941no—
1569C4⋊C4—941no—
1570C4⋊C4—941no—
1571C4⋊C4—941no—
1572C4⋊C4—941no—
1573C4⋊C4—941no—
1574C4⋊C4—941no—
1575C4⋊C4—941no—
1576C4⋊C4—941no—
1577C4⋊C4—941no—
1578C4⋊C4D4×D4711yescharacteristic
1579C4⋊C4C23×D4711yescharacteristic
1580C4⋊C4C23×D4711yescharacteristic
1581C4⋊C4C23×D4711yescharacteristic
1582C4⋊C4C23×D4711yescharacteristic
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—471no—
1589C22⋊C4—471no—
1590C22⋊C4—471no—
1591C22⋊C4—471no—
1592C22⋊C4—471no—
1593C22⋊C4—471no—
1594C22⋊C4—941no—
1595C22⋊C4—941no—
1596C22⋊C4—941no—
1597C22⋊C4—941no—
1598C22⋊C4—941no—
1599C22⋊C4—941no—
1600C22⋊C4—941no—
1601C22⋊C4—941no—
1602C22⋊C4—941no—
1603C22⋊C4—941no—
1604C22⋊C4—941no—
1605C22⋊C4—941no—
1606C22⋊C4—941no—
1607C22⋊C4—941no—
1608C22⋊C4—941no—
1609C22⋊C4—941no—
1610C22⋊C4—941no—
1611C22⋊C4—941no—
1612C22⋊C4—941no—
1613C22⋊C4—941no—
1614C22⋊C4—941no—
1615C22⋊C4—941no—
1616C22⋊C4D4×D4711yescharacteristic
1617C22⋊C4D4×D4711yescharacteristic
1618C42—21no—
1619C42—21no—
1620C42—21no—
1621C42—471no—
1622C42—471no—
1623C42—471no—
1624C42—941no—
1625C42—941no—
1626C42—941no—
1627C42—941no—
1628C42—941no—
1629C42—941no—
1630C42—941no—
1631C42—941no—
1632C42C23×D4711yescharacteristic
1633C23—471no—
1634C23—471no—
1635C23—471no—
1636C23—942no—
1637C23—942no—
1638C23—942no—
1639C23—941no—
1640C23—941no—
1641C23—941no—
1642C23—3761no—
1643C23—3761no—
1644C23—1881no—
1645C23—1881no—
1646C23—1881no—
1647C23—1882no—
1648C23—1882no—
1649C23—1882no—
1650C23—1882no—
1651C23C2×D4×D4711yescharacteristic
1652C23C2×D4×D4711yescharacteristic
1653Q8—21no—
1654Q8—21no—
1655Q8—21no—
1656Q8—21no—
1657Q8—21no—
1658Q8—21no—
1659Q8—21no—
1660Q8—42no—
1661Q8—42no—
1662Q8—941no—
1663Q8—941no—
1664Q8—1882no—
1665Q8#41×D4712yes—
1666D4—22no—
1667D4—472no—
1668D4—944no—
1669D4—942no—
1670D4—941no—
1671D4—941no—
1672D4—941no—
1673D4—941no—
1674D4—941no—
1675D4—3761no—
1676D4—3761no—
1677D4—3761no—
1678D4—1881no—
1679D4—1882no—
1680D4—1882no—
1681D4—1882no—
1682D4—1882no—
1683D4—1882no—
1684D4—1882no—
1685D4—1882no—
1686D4—1882no—
1687D4—1882no—
1688D4—1881no—
1689D4—1882no—
1690D4—1882no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—471no—
1707C2×C4—472no—
1708C2×C4—472no—
1709C2×C4—471no—
1710C2×C4—471no—
1711C2×C4—471no—
1712C2×C4—471no—
1713C2×C4—942no—
1714C2×C4—942no—
1715C2×C4—944no—
1716C2×C4—942no—
1717C2×C4—942no—
1718C2×C4—942no—
1719C2×C4—942no—
1720C2×C4—941no—
1721C2×C4—941no—
1722C2×C4—941no—
1723C2×C4—941no—
1724C2×C4—941no—
1725C2×C4—941no—
1726C2×C4—941no—
1727C2×C4—941no—
1728C2×C4—941no—
1729C2×C4—3761no—
1730C2×C4—1881no—
1731C2×C4—1881no—
1732C2×C4—1882no—
1733C2×C4—1882no—
1734C2×C4—1882no—
1735C2×C4—1882no—
1736C2×C4—1882no—
1737C2×C4—1882no—
1738C2×C4—1882no—
1739C2×C4—1882no—
1740C2×C4—1882no—
1741C2×C4—1882no—
1742C2×C4—1882no—
1743C2×C4—1882no—
1744C2×C4—1882no—
1745C2×C4—1882no—
1746C2×C4C2×D4×D4711yescharacteristic
1747C2×C4C2×D4×D4711yescharacteristic
1748C2×C4C2×D4×D4711yescharacteristic
1749C2×C4C2×D4×D4711yescharacteristic
1750C2×C4C24×D4711yescharacteristic
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—941no—
1756C8—941no—
1757C8—941no—
1758C8—941no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—472no—
1765C22—941no—
1766C22—941no—
1767C22—941no—
1768C22—941no—
1769C22—942no—
1770C22—941no—
1771C22—941no—
1772C22—941no—
1773C22—941no—
1774C22—3764no—
1775C22—3762no—
1776C22—3764no—
1777C22—1884no—
1778C22—1881no—
1779C22—1881no—
1780C22—1881no—
1781C22—1881no—
1782C22—1881no—
1783C22—1881no—
1784C22—1881no—
1785C22—1881no—
1786C22#1568992212yes—
1787C22C22×D4×D4711yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—22no—
1791C4—21no—
1792C4—21no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—472no—
1801C4—941no—
1802C4—941no—
1803C4—941no—
1804C4—941no—
1805C4—1881no—
1806C4—1881no—
1807C4—1881no—
1808C4—1881no—
1809C4—1881no—
1810C4C2×#41×D4711yescharacteristic
1811C4H(5,𝔽2)×D4711yescharacteristic
1812C2—22no—
1813C2—41no—
1814C2—942no—
1815C2—3761no—
1816C2—3761no—
1817C2—1881no—
1818C2—1881no—
1819C2—1882no—
1820C2#546×D4711yescharacteristic
1821C2C2×#1568992211yescharacteristic
1822C2#2025817311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3312C2
socleC22×C47C23×D4
prime radicalD4×#10625354C2
hypercenter#3312D47
hypocenterC47#61163
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3312

Complements

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

NH ≅ G/Ntype
1. #552×D47C2semidirect
3. #20255660C2semidirect
4. #20255652C2semidirect
5. #20255610C2semidirect
6. #20255602C2semidirect
7. #20255519C2semidirect
8. #20255511C2semidirect
9. #20255491C2semidirect
10. #20255483C2semidirect
11. #20255439C2semidirect
12. #20255411C2semidirect
13. #20255403C2semidirect
14. #20255279C2semidirect
15. #20255271C2semidirect
16. #20255229C2semidirect
17. #20255221C2semidirect
18. #20253790C2semidirect
19. #20253320C2semidirect
20. #20253312C2semidirect
21. #20253207C2semidirect
22. #20253017C2semidirect
23. #20253015C2semidirect
24. #20252861C2semidirect
25. #20252647C2semidirect
26. #20252647C2semidirect
27. #20252204C2semidirect
28. #20252121C2semidirect
29. #20251906C2semidirect
30. C2×#15689123C2semidirect
31. C47×#3312C2semidirect
35. C2×#13094056C22semidirect
36. C2×#13094056C22semidirect
37. C22×#10625324C22semidirect
38. C2×M16×D47C22semidirect
39. #15689815C22semidirect
40. #15689814C22semidirect
42. #15689812C22semidirect
43. #15689811C22semidirect
46. #15689808C22semidirect
47. #15689807C22semidirect
65. #125×D47C22semidirect
71. C22⋊Q8×D47C22semidirect
72. C22⋊Q8×D47C22semidirect
74. C4×Q8×D47C22semidirect
78. #117×D47C22semidirect
79. C2×C4⋊C4×D47C22semidirect
80. #15689491C22semidirect
81. #15689489C22semidirect
82. #15689488C22semidirect
83. #15689479C22semidirect
84. #15689479C22semidirect
85. #15689479C22semidirect
86. #15689479C22semidirect
87. #15689463C22semidirect
88. #15689462C22semidirect
89. #15689461C22semidirect
90. #15689457C22semidirect
91. #15689457C22semidirect
92. #15689451C22semidirect
93. #15689450C22semidirect
94. #15689449C22semidirect
95. #15689448C22semidirect
96. #15689447C22semidirect
97. #15689443C22semidirect
98. #15689443C22semidirect
99. #15689437C22semidirect
100. #15689436C22semidirect
101. #15689432C22semidirect
102. #15689430C22semidirect
103. #15689428C22semidirect
104. #15689426C22semidirect
105. #15689424C22semidirect
106. #15689422C22semidirect
107. #15689420C22semidirect
108. #15689380C22semidirect
109. #15689379C22semidirect
110. #15689378C22semidirect
111. #15689372C22semidirect
112. #15689371C22semidirect
113. #15689370C22semidirect
114. #15689369C22semidirect
115. #15689363C22semidirect
116. #15689362C22semidirect
117. #15689361C22semidirect
118. #15689355C22semidirect
119. #15689354C22semidirect
120. #15689353C22semidirect
121. #15689352C22semidirect
122. #15689348C22semidirect
123. #15689348C22semidirect
124. #15689347C22semidirect
125. #15689347C22semidirect
126. #15689330C22semidirect
127. #15689324C22semidirect
128. #15689323C22semidirect
129. #15689288C22semidirect
130. #15689288C22semidirect
131. #15689288C22semidirect
132. #15689288C22semidirect
133. #15689284C22semidirect
134. #15689284C22semidirect
135. #15689284C22semidirect
136. #15689284C22semidirect
137. #15689279C22semidirect
138. #15689279C22semidirect
139. #15689276C22semidirect
140. #15689276C22semidirect
141. #15689273C22semidirect
142. #15689273C22semidirect
143. #15689228C22semidirect
144. #15689225C22semidirect
145. #15689221C22semidirect
146. Q16×Dic47C22semidirect
147. #15689215C22semidirect
148. #15689210C22semidirect
149. #15689208C22semidirect
150. #15689199C22semidirect
151. #15689198C22semidirect
152. #15689196C22semidirect
154. #15689193C22semidirect
155. C8×C22⋊D47C22semidirect
156. (C22⋊D47)⋊C8C22semidirect
157. #15689164C22semidirect
158. #15689162C22semidirect
159. #15689162C22semidirect
160. #15689145C22semidirect
161. #15689132C22semidirect
162. #15689130C22semidirect
163. #15689129C22semidirect
164. #15689127C22semidirect
168. #15689123C22semidirect
169. #15689123C22semidirect
170. #15689123C22semidirect
171. #15689123C22semidirect
172. #15689123C22semidirect
173. #15689123C22semidirect
174. #15689123C22semidirect
175. #15689123C22semidirect
176. #15689123C22semidirect
177. #15689123C22semidirect
178. #15689118C22semidirect
179. #15689118C22semidirect
180. #15689118C22semidirect
181. #15689118C22semidirect
182. C2×#13093948C22semidirect
183. C2×#13093946C22semidirect
184. C2×#13093944C22semidirect
185. #15689085C22semidirect
186. #15689085C22semidirect
187. #15689075C22semidirect
190. C47×#491C22semidirect
191. C47×#485C22semidirect
192. C47×#483C22semidirect
193. C47×#479C22semidirect
194. C47×#470C22semidirect
195. C47×#467C22semidirect
196. C47×#462C22semidirect
197. C47×#451C22semidirect
198. C47×#451C22semidirect
199. C47×#441C22semidirect
201. C47×#419C22semidirect
202. C2×#103×C47C22semidirect
912. #3312D47semidirect
994. #491C2×D47semidirect
1004. #485C2×D47semidirect
1008. #483C2×D47semidirect
1020. #479C2×D47semidirect
1028. #470C2×D47semidirect
1036. #467C2×D47semidirect
1046. #462C2×D47semidirect
1059. #451C2×D47semidirect
1060. #451C2×D47semidirect
1066. #441C2×D47semidirect
1087. #419C2×D47semidirect
1108. C2×#103C2×D47semidirect
1114. C47#61163semidirect

Maximal subgroups

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

subgroupindex
#552×D472
D4×#106253542
#202556602
#202556522
#202556102
#202556022
#202555192
#202555112
#202554912
#202554832
#202554392
#202554112
#202554032
#202552792
#202552712
#202552292
#202552212
#202537902
#202533202
#202533122
#202532072
#202530172
#202530152
#202528612
#202526472
#202522042
#202521212
#202519062
C2×#156891232
C47×#33122
#6116347