Finite Group Databasebeta

← D47×#3370 #27096019

Subgroups — D47×#3370 #27096019

Order 12032.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#559×D47C211yesmaximal, characteristic, complemented
2#554×D47C211yesmaximal, characteristic, complemented
3#20256148C211yesmaximal, characteristic, complemented
4#20256147C211yesmaximal, characteristic, complemented
5#20256146C211yesmaximal, characteristic, complemented
6#20256145C211yesmaximal, characteristic, complemented
7#20256144C211yesmaximal, characteristic, complemented
8#20256143C211yesmaximal, characteristic, complemented
9#20256142C211yesmaximal, characteristic, complemented
10#20256141C211yesmaximal, characteristic, complemented
11#20256140C211yesmaximal, characteristic, complemented
12#20256139C211yesmaximal, characteristic, complemented
13#20256138C211yesmaximal, characteristic, complemented
14#20256137C211yesmaximal, characteristic, complemented
15#20256136C211yesmaximal, characteristic, complemented
16#20256135C211yesmaximal, characteristic, complemented
17#20256134C211yesmaximal, characteristic, complemented
18#490×D47C211yesmaximal, characteristic, complemented
19#489×D47C211yesmaximal, characteristic, complemented
20#488×D47C211yesmaximal, characteristic, complemented
21#479×D47C211yesmaximal, characteristic, complemented
22#478×D47C211yesmaximal, characteristic, complemented
23#474×D47C211yesmaximal, characteristic, complemented
24#463×D47C211yesmaximal, characteristic, complemented
25#463×D47C211yesmaximal, characteristic, complemented
26#459×D47C211yesmaximal, characteristic
27#446×D47C211yesmaximal, characteristic, complemented
28#442×D47C211yesmaximal, characteristic, complemented
29#440×D47C211yesmaximal, characteristic, complemented
30C4×D8×D47C211yesmaximal, characteristic, complemented
31C47×#3370C211yesmaximal, characteristic, complemented
32C2×SD16×D47C2211yescharacteristic
33C2×D8×D47C2211yescharacteristic
34C2×D8×D47C2211yescharacteristic
35#15689859C2211yescharacteristic, complemented
36#15689858C2211yescharacteristic, complemented
37#15689858C2211yescharacteristic, complemented
38#15689857—21no—
39#15689857—21no—
40#15689856—21no—
41#15689856C2211yescharacteristic, complemented
42#15689856C2211yescharacteristic, complemented
43#15689855—21no—
44#15689855C2211yescharacteristic, complemented
45#15689855C2211yescharacteristic, complemented
46#15689834C2211yescharacteristic, complemented
47#15689833C2211yescharacteristic, complemented
48#15689832C2211yescharacteristic, complemented
49#15689832C2211yescharacteristic, complemented
50#15689831—21no—
51#15689830C2211yescharacteristic, complemented
52#15689829C2211yescharacteristic, complemented
53#15689829C2211yescharacteristic, complemented
54#15689828—21no—
55#15689827—21no—
56#15689827—21no—
57C4⋊Q8×D47C2211yescharacteristic
58#127×D47C2211yescharacteristic
59#125×D47C2211yescharacteristic
60#125×D47C2211yescharacteristic
61#124×D47—21no—
62#124×D47C2211yescharacteristic
63#124×D47C2211yescharacteristic
64#123×D47—21no—
65#123×D47—21no—
66C22⋊Q8×D47—21no—
67C22⋊Q8×D47—21no—
68C22⋊Q8×D47—21no—
69C4×Q8×D47C2211yescharacteristic
70C4×Q8×D47C2211yescharacteristic
71C4×D4×D47—21no—
72C4×D4×D47C2211yescharacteristic
73C4×D4×D47C2211yescharacteristic
74C4×D4×D47C2211yescharacteristic
75C4×D4×D47C2211yescharacteristic
76C4×D4×D47C2211yescharacteristic
77C2×C4⋊C4×D47—21no—
78#15689489C2211yescharacteristic, complemented
79#15689488C2211yescharacteristic, complemented
80#15689487C2211yescharacteristic, complemented
81#15689486C2211yescharacteristic, complemented
82#15689486C2211yescharacteristic, complemented
83#15689486C2211yescharacteristic, complemented
84#15689486C2211yescharacteristic, complemented
85#15689485C2211yescharacteristic, complemented
86#15689484C2211yescharacteristic, complemented
87#15689484C2211yescharacteristic, complemented
88#15689483C2211yescharacteristic, complemented
89#15689482C2211yescharacteristic, complemented
90#15689481C2211yescharacteristic, complemented
91#15689481C2211yescharacteristic, complemented
92#15689480C2211yescharacteristic, complemented
93#15689479C2211yescharacteristic, complemented
94#15689479C2211yescharacteristic, complemented
95#15689478C2211yescharacteristic, complemented
96#15689477C2211yescharacteristic, complemented
97#15689476C2211yescharacteristic, complemented
98#15689476C2211yescharacteristic, complemented
99#15689433C2211yescharacteristic, complemented
100#15689432C2211yescharacteristic, complemented
101#15689431C2211yescharacteristic, complemented
102#15689430C2211yescharacteristic, complemented
103#15689429C2211yescharacteristic, complemented
104#15689428C2211yescharacteristic, complemented
105#15689427C2211yescharacteristic, complemented
106#15689426C2211yescharacteristic, complemented
107#15689425C2211yescharacteristic, complemented
108#15689424C2211yescharacteristic, complemented
109#15689423C2211yescharacteristic, complemented
110#15689422C2211yescharacteristic, complemented
111#15689421C2211yescharacteristic, complemented
112#15689420C2211yescharacteristic, complemented
113#15689404C2211yescharacteristic, complemented
114#15689403C2211yescharacteristic, complemented
115#15689402C2211yescharacteristic, complemented
116#15689402C2211yescharacteristic, complemented
117#15689401C2211yescharacteristic, complemented
118#15689401C2211yescharacteristic, complemented
119#15689400C2211yescharacteristic, complemented
120#15689341C2211yescharacteristic, complemented
121#15689341C2211yescharacteristic, complemented
122#15689340C2211yescharacteristic, complemented
123#15689340C2211yescharacteristic, complemented
124#15689339C2211yescharacteristic, complemented
125#15689339C2211yescharacteristic, complemented
126#15689338C2211yescharacteristic, complemented
127#15689338C2211yescharacteristic, complemented
128#15689337C2211yescharacteristic, complemented
129#15689337C2211yescharacteristic, complemented
130#15689336C2211yescharacteristic, complemented
131#15689336C2211yescharacteristic, complemented
132#15689335C2211yescharacteristic, complemented
133#15689335C2211yescharacteristic, complemented
134#15689319C2211yescharacteristic
135#15689318C2211yescharacteristic
136#15689317C2211yescharacteristic
137#15689317C2211yescharacteristic
138#15689316C2211yescharacteristic
139#15689316C2211yescharacteristic
140#15689315C2211yescharacteristic
141#15689254C2211yescharacteristic, complemented
142#15689253C2211yescharacteristic, complemented
143#15689252C2211yescharacteristic, complemented
144#15689252C2211yescharacteristic, complemented
145#15689251C2211yescharacteristic, complemented
146#15689251C2211yescharacteristic, complemented
147#15689250C2211yescharacteristic, complemented
148#15689236C2211yescharacteristic, complemented
149#15689235C2211yescharacteristic, complemented
150#15689234C2211yescharacteristic, complemented
151#15689233C2211yescharacteristic, complemented
152#15689233C2211yescharacteristic, complemented
153#15689232C2211yescharacteristic, complemented
154#15689232C2211yescharacteristic, complemented
155#15689226C2211yescharacteristic, complemented
156#15689225C2211yescharacteristic, complemented
157#15689224C2211yescharacteristic, complemented
158#15689223C2211yescharacteristic, complemented
159#15689222C2211yescharacteristic, complemented
160#15689221C2211yescharacteristic, complemented
161#15689220C2211yescharacteristic, complemented
162C4×D376C2211yescharacteristic, complemented
163D8×Dic47C2211yescharacteristic, complemented
164#15689205C2211yescharacteristic, complemented
165C4×#10625334C2211yescharacteristic, complemented
166C4×#10625334C2211yescharacteristic, complemented
167#15689203C2211yescharacteristic, complemented
168#15689203C2211yescharacteristic, complemented
169#107×D47C2211yescharacteristic
170#107×D47C2211yescharacteristic
171#106×D47C2211yescharacteristic
172C4⋊C8×D47C2211yescharacteristic
173C4⋊C8×D47C2211yescharacteristic
174C4⋊C8×D47C2211yescharacteristic
175#103×D47C2211yescharacteristic
176#103×D47C2211yescharacteristic
177#103×D47C2211yescharacteristic
178#102×D47C2211yescharacteristic
179#102×D47C2211yescharacteristic
180#102×D47C2211yescharacteristic
181#102×D47C2211yescharacteristic
182#102×D47C2211yescharacteristic
183#102×D47C2211yescharacteristic
184#102×D47C2211yescharacteristic
185#97×D47C2211yescharacteristic
186#97×D47C2211yescharacteristic
187C4×C8×D47C2211yescharacteristic
188C47×#559C2211yescharacteristic, complemented
189C47×#554C2211yescharacteristic, complemented
190C47×#490C2211yescharacteristic, complemented
191C47×#489C2211yescharacteristic, complemented
192C47×#488C2211yescharacteristic, complemented
193C47×#479C2211yescharacteristic, complemented
194C47×#478C2211yescharacteristic, complemented
195C47×#474C2211yescharacteristic, complemented
196C47×#463C2211yescharacteristic, complemented
197C47×#463C2211yescharacteristic, complemented
198C47×#459C2211yescharacteristic
199C47×#446C2211yescharacteristic, complemented
200C47×#442C2211yescharacteristic, complemented
201C47×#440C2211yescharacteristic, complemented
202C4×D8×C47C2211yescharacteristic, complemented
203C2×Q8×D47—21no—
204C2×Q8×D47D411yescharacteristic
205C2×Q8×D47C2311yescharacteristic
206C2×D4×D47—21no—
207C2×D4×D47—21no—
208C2×D4×D47C2311yescharacteristic
209C2×D4×D47C2311yescharacteristic
210C2×D4×D47C2311yescharacteristic
211C22×C4×D47—21no—
212C22×C4×D47—21no—
213C22×C4×D47—21no—
214C22×C4×D47—21no—
215C22×C4×D47—21no—
216C2×#10625325C2311yescharacteristic
217C2×#10625335C2311yescharacteristic
218C2×#10625336C2311yescharacteristic
219SD16×D47—24no—
220C2×D376C2311yescharacteristic
221C2×D376C2311yescharacteristic
222C2×#10625334C2311yescharacteristic
223C2×#10625334C2311yescharacteristic
224C2×#10625334C2311yescharacteristic
225C2×#10625334C2311yescharacteristic
226D8×D47—24no—
227D8×D47—24no—
228C2×C8×D47C2311yescharacteristic
229C2×C8×D47C2311yescharacteristic
230C2×C8×D47C2311yescharacteristic
231C2×C8×D47C2311yescharacteristic
232#13094024C2311yescharacteristic
233#13094023—21no—
234#13094023C2311yescharacteristic
235#13094023C2311yescharacteristic
236#13094022—21no—
237#13094021C2311yescharacteristic
238#13094020—21no—
239#13094020—21no—
240#13094020C2311yescharacteristic
241#13094020C2311yescharacteristic
242#13094016C2311yescharacteristic
243#13094016C2311yescharacteristic
244#13094015C2311yescharacteristic
245#13094015C2311yescharacteristic
246#13094015C2311yescharacteristic
247#13094015C2311yescharacteristic
248#13094014—21no—
249#13094014—21no—
250#13094014—21no—
251#13094014—21no—
252#13094013—21no—
253#13094013C2311yescharacteristic
254#13094013C2311yescharacteristic
255#13094012—21no—
256#13094012C2311yescharacteristic
257#13094012C2311yescharacteristic
258#13094011—21no—
259#13094011C2311yescharacteristic
260#13094011C2311yescharacteristic
261#13094010—21no—
262#13094010—21no—
263#13094010—21no—
264#13094010—21no—
265#13094010—21no—
266#13094010—21no—
267#13094010—21no—
268#13094010—21no—
269#13094009—21no—
270#13094009—21no—
271#13094009—21no—
272#13094009—21no—
273#13094008—21no—
274#13094008—21no—
275#13094007—21no—
276#13094007—21no—
277#13094006—21no—
278#13094006—21no—
279#13094006—21no—
280#13094006—21no—
281#13094005—21no—
282#13094005—21no—
283#13094004—21no—
284#13094004—21no—
285#13094004—21no—
286#13094003—21no—
287#13094003—21no—
288#13094003—21no—
289#13094002—21no—
290#13094002—21no—
291#13094002—21no—
292#13094002—21no—
293#13094002—21no—
294#13094002—21no—
295#13094001—21no—
296#13094001—21no—
297#13094001—21no—
298#13094001—21no—
299#13094001—21no—
300#13094001—21no—
301#13094000—21no—
302#13094000—21no—
303#13094000—21no—
304Q8×Dic47D411yescharacteristic
305Q8×Dic47C2311yescharacteristic
306C4×Dic94—21no—
307C4×Dic94C2311yescharacteristic
308C4×Dic94C2311yescharacteristic
309C4×Dic94C2311yescharacteristic
310C4×Dic94C2311yescharacteristic
311#13093989—21no—
312#13093989D411yescharacteristic
313#13093989D411yescharacteristic
314#13093989D411yescharacteristic
315#13093989C2311yescharacteristic
316C4×D188—21no—
317C4×D188C2311yescharacteristic
318C4×D188C2311yescharacteristic
319C4×D188C2311yescharacteristic
320C4×D188C2311yescharacteristic
321C4×D188C2311yescharacteristic
322D4×Dic47—21no—
323D4×Dic47C2311yescharacteristic
324D4×Dic47C2311yescharacteristic
325D4×Dic47C2311yescharacteristic
326D4×Dic47C2311yescharacteristic
327D4×Dic47C2311yescharacteristic
328#13093986—21no—
329#13093986C2311yescharacteristic
330#13093986C2311yescharacteristic
331#13093986C2311yescharacteristic
332#13093986C2311yescharacteristic
333#13093986C2311yescharacteristic
334C4×C22⋊D47—21no—
335C4×C22⋊D47—21no—
336C4×C22⋊D47—21no—
337C4×C22⋊D47—21no—
338C4×C22⋊D47—21no—
339C4×C22⋊D47—21no—
340C4×C22⋊D47—21no—
341(C22⋊D47)⋊C4—21no—
342(C22⋊D47)⋊C4—21no—
343(C22⋊D47)⋊C4—21no—
344(C22⋊D47)⋊C4—21no—
345(C22⋊D47)⋊C4—21no—
346(C22⋊D47)⋊C4—21no—
347(C22⋊D47)⋊C4—21no—
348C2×C4⋊Dic47—21no—
349C2×Dic47⋊C4—21no—
350C2×Dic47⋊C4—21no—
351C4⋊C4×D47—21no—
352C4⋊C4×D47—21no—
353C4⋊C4×D47—21no—
354C4⋊C4×D47—21no—
355C4⋊C4×D47—21no—
356C4⋊C4×D47—21no—
357C4⋊C4×D47—21no—
358C4⋊C4×D47—21no—
359C4⋊C4×D47—21no—
360C4⋊C4×D47—21no—
361C4⋊C4×D47D411yescharacteristic
362C4⋊C4×D47D411yescharacteristic
363C4⋊C4×D47D411yescharacteristic
364C4⋊C4×D47C2311yescharacteristic
365C4⋊C4×D47C2311yescharacteristic
366C4⋊C4×D47C2311yescharacteristic
367C4⋊C4×D47C2311yescharacteristic
368C22⋊C4×D47—21no—
369C22⋊C4×D47—21no—
370C22⋊C4×D47—21no—
371C22⋊C4×D47—21no—
372C22⋊C4×D47—21no—
373C22⋊C4×D47—21no—
374C22⋊C4×D47—21no—
375C22⋊C4×D47—21no—
376C22⋊C4×D47—21no—
377C42×D47—21no—
378C42×D47C2311yescharacteristic
379C42×D47C2311yescharacteristic
380C42×D47C2311yescharacteristic
381#13093958C2311yescharacteristic
382#13093958C2311yescharacteristic
383#13093957C2311yescharacteristic
384#13093957C2311yescharacteristic
385#13093957C2311yescharacteristic
386#13093957C2311yescharacteristic
387#13093956C2311yescharacteristic
388#13093955C2311yescharacteristic
389#13093955C2311yescharacteristic
390C4⋊(C47⋊C8)C2311yescharacteristic
391C4⋊(C47⋊C8)C2311yescharacteristic
392C4⋊(C47⋊C8)C2311yescharacteristic
393Dic47⋊C8C2311yescharacteristic
394Dic47⋊C8C2311yescharacteristic
395Dic47⋊C8C2311yescharacteristic
396Dic47⋊C8C2311yescharacteristic
397Dic47⋊C8C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399#13093949C2311yescharacteristic
400#13093949C2311yescharacteristic
401#13093949C2311yescharacteristic
402#13093948C2311yescharacteristic
403#13093948C2311yescharacteristic
404#13093948C2311yescharacteristic
405#13093947C2311yescharacteristic
406#13093947C2311yescharacteristic
407#13093947C2311yescharacteristic
408#13093946C2311yescharacteristic
409#13093946C2311yescharacteristic
410#13093946C2311yescharacteristic
411#13093946C2311yescharacteristic
412#13093946C2311yescharacteristic
413#13093946C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093945C2311yescharacteristic
416#13093945C2311yescharacteristic
417#13093945C2311yescharacteristic
418#13093945C2311yescharacteristic
419#13093945C2311yescharacteristic
420#13093945C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093944C2311yescharacteristic
423#13093944C2311yescharacteristic
424#13093944C2311yescharacteristic
425#13093944C2311yescharacteristic
426#13093944C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093935C2311yescharacteristic
430#13093935C2311yescharacteristic
431#13093934C2311yescharacteristic
432#13093934C2311yescharacteristic
433#13093934C2311yescharacteristic
434#13093934C2311yescharacteristic
435C4×C47⋊C8C2311yescharacteristic
436C8×Dic47C2311yescharacteristic
437C8×Dic47C2311yescharacteristic
438C2×SD16×C47C2311yescharacteristic
439C2×D8×C47C2311yescharacteristic
440C2×D8×C47C2311yescharacteristic
441C4⋊Q8×C47C2311yescharacteristic
442#127×C47C2311yescharacteristic
443#125×C47C2311yescharacteristic
444#125×C47C2311yescharacteristic
445#124×C47—21no—
446#124×C47C2311yescharacteristic
447#124×C47C2311yescharacteristic
448#123×C47—21no—
449#123×C47—21no—
450C22⋊Q8×C47—21no—
451C22⋊Q8×C47—21no—
452C22⋊Q8×C47—21no—
453C4×Q8×C47C2311yescharacteristic
454C4×Q8×C47C2311yescharacteristic
455C4×D4×C47—21no—
456C4×D4×C47C2311yescharacteristic
457C4×D4×C47C2311yescharacteristic
458C4×D4×C47C2311yescharacteristic
459C4×D4×C47C2311yescharacteristic
460C4×D4×C47C2311yescharacteristic
461C2×C4⋊C4×C47—21no—
462#107×C47C2311yescharacteristic
463#107×C47C2311yescharacteristic
464#106×C47C2311yescharacteristic
465C4⋊C8×C47C2311yescharacteristic
466C4⋊C8×C47C2311yescharacteristic
467C4⋊C8×C47C2311yescharacteristic
468#103×C47C2311yescharacteristic
469#103×C47C2311yescharacteristic
470#103×C47C2311yescharacteristic
471#102×C47C2311yescharacteristic
472#102×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#102×C47C2311yescharacteristic
476#102×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478#97×C47C2311yescharacteristic
479#97×C47C2311yescharacteristic
480C4×C8×C47C2311yescharacteristic
481C23×D47—21no—
482C23×D47—21no—
483C23×D47—21no—
484C2×Q8×C47—21no—
485C2×Q8×C47C2×D411yescharacteristic
486C2×Q8×C47C2411yescharacteristic
487C2×D4×C47—21no—
488C2×D4×C47—21no—
489C2×D4×C47C2411yescharacteristic
490C2×D4×C47C2411yescharacteristic
491C2×D4×C47C2411yescharacteristic
492C22×C4×C47—21no—
493C22×C4×C47—21no—
494C22×C4×C47—21no—
495C22×C4×C47—21no—
496C22×C4×C47—21no—
497C2×C22⋊D47—21no—
498C2×C22⋊D47—21no—
499C2×C22⋊D47—21no—
500C2×C22⋊D47—21no—
501C2×C22⋊D47—21no—
502C2×C22⋊D47—21no—
503C2×C22⋊D47—21no—
504C22×Dic47—21no—
505C22×Dic47—21no—
506C22×Dic47—21no—
507C22×Dic47—21no—
508C22×Dic47—21no—
509Q8×D47—22no—
510Q8×D47—22no—
511Q8×D47—42no—
512Q8×D47—82no—
513D4×D47—22no—
514D4×D47—22no—
515D4×D47—22no—
516D4×D47—22no—
517D4×D47—22no—
518D4×D47—44no—
519D4×D47—82no—
520D4×D47#4114yes—
521C2×D188—21no—
522C2×D188—21no—
523C2×D188C2411yescharacteristic
524C2×D188C2411yescharacteristic
525C2×D188C2411yescharacteristic
526C2×C4×D47—21no—
527C2×C4×D47—21no—
528C2×C4×D47—21no—
529C2×C4×D47—21no—
530C2×C4×D47—21no—
531C2×C4×D47—21no—
532C2×C4×D47—21no—
533C2×C4×D47—21no—
534C2×C4×D47—21no—
535C2×C4×D47—21no—
536C2×C4×D47—21no—
537C2×C4×D47—21no—
538C2×C4×D47—21no—
539C2×C4×D47—21no—
540C2×C4×D47—21no—
541C2×C4×D47—44no—
542C2×C4×D47—82no—
543C2×C4×D47—82no—
544C2×C4×D47—82no—
545C2×C4×D47—82no—
546C2×C4×D47C2×D411yescharacteristic
547C2×C4×D47C2×D411yescharacteristic
548C2×C4×D47C2×D411yescharacteristic
549C2×C4×D47C2×D411yescharacteristic
550C2×C4×D47C2×D411yescharacteristic
551C2×C4×D47C2×D411yescharacteristic
552C2×C4×D47C2411yescharacteristic
553C2×Dic94—21no—
554C2×Dic94—21no—
555C2×Dic94—21no—
556C2×Dic94—21no—
557C2×Dic94C2×D411yescharacteristic
558C2×Dic94C2×D411yescharacteristic
559C2×Dic94C2×D411yescharacteristic
560C2×Dic94C2411yescharacteristic
561SD16×C47—22no—
562D8×C47—22no—
563D8×C47—22no—
564C2×C8×C47C2411yescharacteristic
565C2×C8×C47C2411yescharacteristic
566C2×C8×C47C2411yescharacteristic
567C2×C8×C47C2411yescharacteristic
568C4⋊C4×C47—21no—
569C4⋊C4×C47—21no—
570C4⋊C4×C47—21no—
571C4⋊C4×C47—21no—
572C4⋊C4×C47—21no—
573C4⋊C4×C47—21no—
574C4⋊C4×C47C2×D411yescharacteristic
575C4⋊C4×C47C2×D411yescharacteristic
576C4⋊C4×C47C2×D411yescharacteristic
577C4⋊C4×C47C2411yescharacteristic
578C4⋊C4×C47C2411yescharacteristic
579C4⋊C4×C47C2411yescharacteristic
580C4⋊C4×C47C2411yescharacteristic
581C22⋊C4×C47—21no—
582C22⋊C4×C47—21no—
583C22⋊C4×C47—21no—
584C22⋊C4×C47—21no—
585C22⋊C4×C47—21no—
586C22⋊C4×C47—21no—
587C22⋊C4×C47—21no—
588C22⋊C4×C47—21no—
589C22⋊C4×C47—21no—
590C42×C47—21no—
591C42×C47C2411yescharacteristic
592C42×C47C2411yescharacteristic
593C42×C47C2411yescharacteristic
594C22⋊Dic47—21no—
595C22⋊Dic47—21no—
596C22⋊Dic47—21no—
597C22⋊Dic47—21no—
598C22⋊Dic47—21no—
599C22⋊Dic47—21no—
600C22⋊Dic47—21no—
601C22⋊Dic47—21no—
602C22⋊Dic47—21no—
603#10625336—22no—
604#10625335—22no—
605#10625334—22no—
606#10625334—22no—
607#10625334—22no—
608#10625334—22no—
609(C2×D47)⋊C4—21no—
610(C2×D47)⋊C4—21no—
611(C2×D47)⋊C4—21no—
612(C2×D47)⋊C4—21no—
613(C2×D47)⋊C4—21no—
614(C2×D47)⋊C4—21no—
615(C2×D47)⋊C4—21no—
616(C2×D47)⋊C4—21no—
617(C2×D47)⋊C4—21no—
618(C2×D47)⋊C4—21no—
619(C2×D47)⋊C4—21no—
620(C2×D47)⋊C4—21no—
621(C2×D47)⋊C4—21no—
622(C2×D47)⋊C4—21no—
623(C2×D47)⋊C4—21no—
624(C2×D47)⋊C4—21no—
625(C2×D47)⋊C4—21no—
626(C2×D47)⋊C4—21no—
627C4⋊Dic47—21no—
628C4⋊Dic47—21no—
629C4⋊Dic47—21no—
630C4⋊Dic47—21no—
631C4⋊Dic47—21no—
632C4⋊Dic47—21no—
633C4⋊Dic47C2×D411yescharacteristic
634C4⋊Dic47C2×D411yescharacteristic
635C4⋊Dic47C2×D411yescharacteristic
636C4⋊Dic47C2411yescharacteristic
637C4⋊Dic47C2411yescharacteristic
638C4⋊Dic47C2411yescharacteristic
639C4⋊Dic47C2411yescharacteristic
640Dic47⋊C4—21no—
641Dic47⋊C4—21no—
642Dic47⋊C4—21no—
643Dic47⋊C4—21no—
644Dic47⋊C4—21no—
645Dic47⋊C4—21no—
646Dic47⋊C4—21no—
647Dic47⋊C4—21no—
648Dic47⋊C4—21no—
649Dic47⋊C4—21no—
650Dic47⋊C4—21no—
651Dic47⋊C4—21no—
652Dic47⋊C4—21no—
653Dic47⋊C4—21no—
654Dic47⋊C4—21no—
655Dic47⋊C4—21no—
656Dic47⋊C4C2×D411yescharacteristic
657Dic47⋊C4C2×D411yescharacteristic
658Dic47⋊C4C2×D411yescharacteristic
659Dic47⋊C4C2×D411yescharacteristic
660Dic47⋊C4C2×D411yescharacteristic
661Dic47⋊C4C2×D411yescharacteristic
662C4×Dic47—21no—
663C4×Dic47—21no—
664C4×Dic47—21no—
665C4×Dic47C2×D411yescharacteristic
666C4×Dic47C2×D411yescharacteristic
667C4×Dic47C2×D411yescharacteristic
668C4×Dic47C2×D411yescharacteristic
669C4×Dic47C2×D411yescharacteristic
670C4×Dic47C2×D411yescharacteristic
671C4×Dic47C2411yescharacteristic
672C4×Dic47C2411yescharacteristic
673C4×Dic47C2411yescharacteristic
674C2×C47⋊C8C2411yescharacteristic
675C2×C47⋊C8C2411yescharacteristic
676C2×C47⋊C8C2411yescharacteristic
677C2×C47⋊C8C2411yescharacteristic
678D376—22no—
679D376—22no—
680#10625325—22no—
681C8×D47—22no—
682C8×D47—22no—
683C8×D47—22no—
684C8×D47—22no—
685C23×C47—21no—
686C23×C47—21no—
687C23×C47—21no—
688C22×D47—21no—
689C22×D47—24no—
690C22×D47—21no—
691C22×D47—21no—
692C22×D47—42no—
693C22×D47—42no—
694C22×D47—42no—
695C22×D47—42no—
696C22×D47—42no—
697C22×D47—42no—
698C22×D47—42no—
699C22×D47—42no—
700C22×D47C22×D411yescharacteristic
701Q8×C47—21no—
702Q8×C47—21no—
703Q8×C47—41no—
704Q8×C47—81no—
705D4×C47—21no—
706D4×C47—21no—
707D4×C47—21no—
708D4×C47—21no—
709D4×C47—21no—
710D4×C47—42no—
711D4×C47—81no—
712D4×C47C2×#4112yes—
713C2×C4×C47—21no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—21no—
718C2×C4×C47—42no—
719C2×C4×C47—81no—
720C2×C4×C47—81no—
721C2×C4×C47—81no—
722C2×C4×C47—81no—
723C2×C4×C47C22×D411yescharacteristic
724C2×C4×C47C22×D411yescharacteristic
725C2×C4×C47C22×D411yescharacteristic
726C2×C4×C47C22×D411yescharacteristic
727C2×C4×C47C22×D411yescharacteristic
728C2×C4×C47C22×D411yescharacteristic
729C2×C4×C47C2511yescharacteristic
730C22⋊D47—24no—
731C22⋊D47—42no—
732C22⋊D47—42no—
733C22⋊D47—42no—
734C22⋊D47—42no—
735C22⋊D47—81no—
736C22⋊D47—81no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—42no—
743C2×Dic47—81no—
744C2×Dic47—81no—
745C2×Dic47—81no—
746C2×Dic47—81no—
747C2×Dic47C22×D411yescharacteristic
748C2×Dic47C22×D411yescharacteristic
749C2×Dic47C22×D411yescharacteristic
750C2×Dic47C22×D411yescharacteristic
751C2×Dic47C22×D411yescharacteristic
752C2×Dic47C22×D411yescharacteristic
753C2×Dic47C22×D411yescharacteristic
754D188—21no—
755D188—21no—
756D188—21no—
757D188—21no—
758D188—21no—
759D188—42no—
760D188—81no—
761D188C2×#4112yes—
762C4×D47—22no—
763C4×D47—22no—
764C4×D47—22no—
765C4×D47—22no—
766C4×D47—22no—
767C4×D47—22no—
768C4×D47—42no—
769C4×D47—42no—
770C4×D47—42no—
771C4×D47—42no—
772C4×D47—42no—
773C4×D47—42no—
774C4×D47—42no—
775C4×D47—81no—
776C4×D47—81no—
777C4×D47—81no—
778C4×D47—81no—
779C4×D47—81no—
780C4×D47—81no—
781C4×D47—81no—
782C4×D47—81no—
783C4×D47C2×#4112yes—
784C4×D472−1+412yes—
785Dic94—21no—
786Dic94—21no—
787Dic94—41no—
788Dic94—41no—
789Dic94—41no—
790Dic94—42no—
791Dic94—81no—
792Dic94—81no—
793Dic94—81no—
794C8×C47—21no—
795C8×C47—21no—
796C8×C47—21no—
797C8×C47—21no—
798C47⋊C8—21no—
799C47⋊C8—21no—
800C47⋊C8—21no—
801C47⋊C8—21no—
802C2×#3370—471nomaximal, Sylow
803C22×C47—22no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47—41no—
807C22×C47—41no—
808C22×C47—41no—
809C22×C47—41no—
810C22×C47—41no—
811C22×C47—41no—
812C22×C47C23×D411yescharacteristic
813C2×D47—22no—
814C2×D47—41no—
815C2×D47—41no—
816C2×D47—48no—
817C2×D47—41no—
818C2×D47—41no—
819C2×D47—41no—
820C2×D47—41no—
821C2×D47—41no—
822C2×D47—41no—
823C2×D47—84no—
824C2×D47—84no—
825C2×D47#54812yes—
826C2×D47#57512yes—
827C2×D47#57612yes—
828C4×C47—21no—
829C4×C47—21no—
830C4×C47—21no—
831C4×C47—21no—
832C4×C47—21no—
833C4×C47—21no—
834C4×C47—41no—
835C4×C47—41no—
836C4×C47—41no—
837C4×C47—41no—
838C4×C47—41no—
839C4×C47C22×#4111yescharacteristic
840C4×C47C2×2−1+411yescharacteristic
841Dic47—21no—
842Dic47—21no—
843Dic47—21no—
844Dic47—21no—
845Dic47—21no—
846Dic47—21no—
847Dic47—41no—
848Dic47—41no—
849Dic47—41no—
850Dic47—41no—
851Dic47—41no—
852Dic47#54812yes—
853C2×#559—471no—
854C2×#554—471no—
855#3370—471no—
856#3370—471no—
857#3370—471no—
858#3370—471no—
859#3370—471no—
860#3370—471no—
861#3370—471no—
862#3370—471no—
863#3370—471no—
864#3370—471no—
865#3370—471no—
866#3370—471no—
867#3370—471no—
868#3370—471no—
869#3370—471no—
870#3370D4711yescharacteristic, direct product factor
871C2×#490—471no—
872C2×#489—471no—
873C2×#488—471no—
874C2×#479—471no—
875C2×#478—471no—
876C2×#474—471no—
877C2×#463—471no—
878C2×#463—471no—
879C2×#459—471no—
880C2×#446—471no—
881C2×#442—471no—
882C2×#440—471no—
883C2×C4×D8—471no—
884C2×C47—42no—
885C2×C47—81no—
886C2×C47—81no—
887C2×C47C2×#54811yescharacteristic
888C2×C47C2×#57511yescharacteristic
889C2×C47C2×#57611yescharacteristic
890D47—42no—
891D47—81no—
892D47—81no—
893D47#337014yesdirect product factor
894C22×SD16—471no—
895C22×D8—471no—
896C22×D8—471no—
897#559—471no—
898#559—471no—
899#559—471no—
900#559—471no—
901#559—471no—
902#559—471no—
903#559—471no—
904#559—941no—
905#559—941no—
906#559—941no—
907#559—941no—
908#559C2×D4711yescharacteristic, complemented
909#554—471no—
910#554—471no—
911#554—471no—
912#554—471no—
913#554—471no—
914#554—471no—
915#554—471no—
916#554—941no—
917#554—941no—
918#554—941no—
919#554—941no—
920#554C2×D4711yescharacteristic, complemented
921C2×C4⋊Q8—471no—
922C2×#127—471no—
923C2×#125—471no—
924C2×#125—471no—
925C2×#124—471no—
926C2×#124—471no—
927C2×#124—941no—
928C2×#123—941no—
929C2×#123—941no—
930C2×C22⋊Q8—941no—
931C2×C22⋊Q8—941no—
932C2×C22⋊Q8—941no—
933C2×C4×Q8—471no—
934C2×C4×Q8—471no—
935C2×C4×D4—471no—
936C2×C4×D4—471no—
937C2×C4×D4—471no—
938C2×C4×D4—471no—
939C2×C4×D4—471no—
940C2×C4×D4—941no—
941C22×C4⋊C4—941no—
942#490—471no—
943#490—471no—
944#490—471no—
945#490—471no—
946#490—471no—
947#490—471no—
948#490—471no—
949#490C2×D4711yescharacteristic, complemented
950#489—471no—
951#489—471no—
952#489—471no—
953#489—471no—
954#489—471no—
955#489—471no—
956#489—471no—
957#489C2×D4711yescharacteristic, complemented
958#488—471no—
959#488—471no—
960#488—471no—
961#488—471no—
962#488—471no—
963#488—471no—
964#488—471no—
965#488C2×D4711yescharacteristic, complemented
966#479—471no—
967#479—471no—
968#479—471no—
969#479—471no—
970#479—471no—
971#479—471no—
972#479—471no—
973#479C2×D4711yescharacteristic, complemented
974#478—471no—
975#478—471no—
976#478—471no—
977#478—471no—
978#478—471no—
979#478—471no—
980#478—471no—
981#478C2×D4711yescharacteristic, complemented
982#474—471no—
983#474—471no—
984#474—471no—
985#474—471no—
986#474—471no—
987#474—471no—
988#474—471no—
989#474C2×D4711yescharacteristic, complemented
990#463—471no—
991#463—471no—
992#463—471no—
993#463—471no—
994#463—471no—
995#463—471no—
996#463—471no—
997#463—471no—
998#463—471no—
999#463—471no—
1000#463—471no—
1001#463—471no—
1002#463—471no—
1003#463—471no—
1004#463C2×D4711yescharacteristic, complemented
1005#463C2×D4711yescharacteristic, complemented
1006#459—471no—
1007#459—471no—
1008#459—471no—
1009#459—471no—
1010#459—471no—
1011#459—471no—
1012#459—471no—
1013#459C2×D4711yescharacteristic
1014#446—471no—
1015#446—471no—
1016#446—471no—
1017#446—471no—
1018#446—471no—
1019#446—471no—
1020#446—471no—
1021#446C2×D4711yescharacteristic, complemented
1022#442—471no—
1023#442—471no—
1024#442—471no—
1025#442—471no—
1026#442—471no—
1027#442—471no—
1028#442—471no—
1029#442C2×D4711yescharacteristic, complemented
1030#440—471no—
1031#440—471no—
1032#440—471no—
1033#440—471no—
1034#440—471no—
1035#440—471no—
1036#440—471no—
1037#440C2×D4711yescharacteristic, complemented
1038C4×D8—471no—
1039C4×D8—471no—
1040C4×D8—471no—
1041C4×D8—471no—
1042C4×D8—471no—
1043C4×D8—471no—
1044C4×D8—471no—
1045C4×D8C2×D4711yescharacteristic, complemented
1046C2×#107—471no—
1047C2×#107—471no—
1048C2×#106—471no—
1049C2×C4⋊C8—471no—
1050C2×C4⋊C8—471no—
1051C2×C4⋊C8—471no—
1052C2×#103—471no—
1053C2×#103—471no—
1054C2×#103—471no—
1055C2×#102—471no—
1056C2×#102—471no—
1057C2×#102—471no—
1058C2×#102—471no—
1059C2×#102—471no—
1060C2×#102—471no—
1061C2×#102—471no—
1062C2×#97—471no—
1063C2×#97—471no—
1064C2×C4×C8—471no—
1065C47C2×#337011yescharacteristic, complemented, Sylow
1066C22×Q8—471no—
1067C22×Q8—471no—
1068C22×Q8—941no—
1069C22×D4—471no—
1070C22×D4—471no—
1071C22×D4—471no—
1072C22×D4—941no—
1073C22×D4—941no—
1074C23×C4—941no—
1075C23×C4—941no—
1076C23×C4—941no—
1077C23×C4—941no—
1078C23×C4—941no—
1079C2×SD16—471no—
1080C2×SD16—471no—
1081C2×SD16—471no—
1082C2×SD16—944no—
1083C2×SD16C22×D4711yescharacteristic
1084C2×D8—471no—
1085C2×D8—471no—
1086C2×D8—471no—
1087C2×D8—471no—
1088C2×D8—471no—
1089C2×D8—471no—
1090C2×D8—944no—
1091C2×D8—944no—
1092C2×D8C22×D4711yescharacteristic
1093C2×D8C22×D4711yescharacteristic
1094C22×C8—471no—
1095C22×C8—471no—
1096C22×C8—471no—
1097C22×C8—471no—
1098C4⋊Q8—471no—
1099C4⋊Q8—471no—
1100C4⋊Q8—471no—
1101C4⋊Q8—941no—
1102C4⋊Q8—941no—
1103C4⋊Q8C22×D4711yescharacteristic
1104#127—471no—
1105#127—471no—
1106#127—471no—
1107#127—941no—
1108#127—941no—
1109#127C22×D4711yescharacteristic
1110#125—471no—
1111#125—471no—
1112#125—471no—
1113#125—471no—
1114#125—471no—
1115#125—471no—
1116#125—941no—
1117#125—941no—
1118#125—941no—
1119#125—941no—
1120#125C22×D4711yescharacteristic
1121#125C22×D4711yescharacteristic
1122#124—21no—
1123#124—471no—
1124#124—471no—
1125#124—471no—
1126#124—471no—
1127#124—471no—
1128#124—471no—
1129#124—941no—
1130#124—941no—
1131#124—941no—
1132#124—941no—
1133#124—941no—
1134#124—941no—
1135#124—941no—
1136#124—941no—
1137#124—941no—
1138#124—941no—
1139#124—941no—
1140#124C22×D4711yescharacteristic
1141#124C22×D4711yescharacteristic
1142#123—21no—
1143#123—21no—
1144#123—941no—
1145#123—941no—
1146#123—941no—
1147#123—941no—
1148#123—941no—
1149#123—941no—
1150#123—941no—
1151#123—941no—
1152#123—941no—
1153#123—941no—
1154#123—941no—
1155#123—941no—
1156#123—941no—
1157#123—941no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—941no—
1162C22⋊Q8—941no—
1163C22⋊Q8—941no—
1164C22⋊Q8—941no—
1165C22⋊Q8—941no—
1166C22⋊Q8—941no—
1167C22⋊Q8—941no—
1168C22⋊Q8—941no—
1169C22⋊Q8—941no—
1170C22⋊Q8—941no—
1171C22⋊Q8—941no—
1172C22⋊Q8—941no—
1173C22⋊Q8—941no—
1174C22⋊Q8—941no—
1175C22⋊Q8—941no—
1176C22⋊Q8—941no—
1177C22⋊Q8—941no—
1178C22⋊Q8—941no—
1179C22⋊Q8—941no—
1180C22⋊Q8—941no—
1181C22⋊Q8—941no—
1182C4×Q8—471no—
1183C4×Q8—471no—
1184C4×Q8—471no—
1185C4×Q8—471no—
1186C4×Q8—471no—
1187C4×Q8—471no—
1188C4×Q8—471no—
1189C4×Q8—471no—
1190C4×Q8—471no—
1191C4×Q8—471no—
1192C4×Q8—941no—
1193C4×Q8—941no—
1194C4×Q8C22×D4711yescharacteristic
1195C4×Q8C22×D4711yescharacteristic
1196C4×D4—21no—
1197C4×D4—471no—
1198C4×D4—471no—
1199C4×D4—471no—
1200C4×D4—471no—
1201C4×D4—471no—
1202C4×D4—471no—
1203C4×D4—471no—
1204C4×D4—471no—
1205C4×D4—471no—
1206C4×D4—471no—
1207C4×D4—471no—
1208C4×D4—471no—
1209C4×D4—471no—
1210C4×D4—471no—
1211C4×D4—471no—
1212C4×D4—941no—
1213C4×D4—941no—
1214C4×D4—941no—
1215C4×D4—941no—
1216C4×D4—941no—
1217C4×D4—941no—
1218C4×D4—941no—
1219C4×D4—941no—
1220C4×D4—941no—
1221C4×D4—941no—
1222C4×D4—941no—
1223C4×D4—941no—
1224C4×D4—941no—
1225C4×D4—941no—
1226C4×D4—941no—
1227C4×D4—941no—
1228C4×D4—941no—
1229C4×D4C22×D4711yescharacteristic
1230C4×D4C22×D4711yescharacteristic
1231C4×D4C22×D4711yescharacteristic
1232C4×D4C22×D4711yescharacteristic
1233C4×D4C22×D4711yescharacteristic
1234C2×C4⋊C4—21no—
1235C2×C4⋊C4—471no—
1236C2×C4⋊C4—471no—
1237C2×C4⋊C4—471no—
1238C2×C4⋊C4—471no—
1239C2×C4⋊C4—471no—
1240C2×C4⋊C4—471no—
1241C2×C4⋊C4—471no—
1242C2×C4⋊C4—941no—
1243C2×C4⋊C4—941no—
1244C2×C4⋊C4—941no—
1245C2×C4⋊C4—941no—
1246C2×C4⋊C4—941no—
1247C2×C4⋊C4—941no—
1248C2×C4⋊C4—941no—
1249C2×C4⋊C4—941no—
1250C2×C4⋊C4—941no—
1251C2×C4⋊C4—941no—
1252C2×C4⋊C4—941no—
1253C2×C4⋊C4—941no—
1254C2×C4⋊C4—941no—
1255C2×C22⋊C4—941no—
1256C2×C22⋊C4—941no—
1257C2×C22⋊C4—941no—
1258C2×C22⋊C4—941no—
1259C2×C22⋊C4—941no—
1260C2×C22⋊C4—941no—
1261C2×C22⋊C4—941no—
1262C2×C22⋊C4—941no—
1263C2×C22⋊C4—941no—
1264C2×C42—471no—
1265C2×C42—471no—
1266C2×C42—471no—
1267C2×C42—941no—
1268#107—471no—
1269#107—471no—
1270#107—471no—
1271#107—471no—
1272#107—471no—
1273#107—471no—
1274#107C22×D4711yescharacteristic
1275#107C22×D4711yescharacteristic
1276#106—471no—
1277#106—471no—
1278#106—471no—
1279#106C22×D4711yescharacteristic
1280C4⋊C8—471no—
1281C4⋊C8—471no—
1282C4⋊C8—471no—
1283C4⋊C8—471no—
1284C4⋊C8—471no—
1285C4⋊C8—471no—
1286C4⋊C8—471no—
1287C4⋊C8—471no—
1288C4⋊C8—471no—
1289C4⋊C8C22×D4711yescharacteristic
1290C4⋊C8C22×D4711yescharacteristic
1291C4⋊C8C22×D4711yescharacteristic
1292#103—471no—
1293#103—471no—
1294#103—471no—
1295#103—471no—
1296#103—471no—
1297#103—471no—
1298#103—471no—
1299#103—471no—
1300#103—471no—
1301#103C22×D4711yescharacteristic
1302#103C22×D4711yescharacteristic
1303#103C22×D4711yescharacteristic
1304#102—471no—
1305#102—471no—
1306#102—471no—
1307#102—471no—
1308#102—471no—
1309#102—471no—
1310#102—471no—
1311#102—471no—
1312#102—471no—
1313#102—471no—
1314#102—471no—
1315#102—471no—
1316#102—471no—
1317#102—471no—
1318#102—471no—
1319#102—471no—
1320#102—471no—
1321#102—471no—
1322#102—471no—
1323#102—471no—
1324#102—471no—
1325#102C22×D4711yescharacteristic
1326#102C22×D4711yescharacteristic
1327#102C22×D4711yescharacteristic
1328#102C22×D4711yescharacteristic
1329#102C22×D4711yescharacteristic
1330#102C22×D4711yescharacteristic
1331#102C22×D4711yescharacteristic
1332#97—471no—
1333#97—471no—
1334#97—471no—
1335#97—471no—
1336#97—471no—
1337#97—471no—
1338#97C22×D4711yescharacteristic
1339#97C22×D4711yescharacteristic
1340C4×C8—471no—
1341C4×C8—471no—
1342C4×C8—471no—
1343C4×C8C22×D4711yescharacteristic
1344C24—941no—
1345C24—941no—
1346C24—941no—
1347C2×Q8—21no—
1348C2×Q8—471no—
1349C2×Q8—471no—
1350C2×Q8—471no—
1351C2×Q8—471no—
1352C2×Q8—941no—
1353C2×Q8—941no—
1354C2×Q8—941no—
1355C2×Q8—942no—
1356C2×Q8—942no—
1357C2×Q8—941no—
1358C2×Q8—3762no—
1359C2×Q8—1882no—
1360C2×Q8D4×D4711yescharacteristic
1361C2×Q8C23×D4711yescharacteristic
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—474no—
1365C2×D4—471no—
1366C2×D4—471no—
1367C2×D4—471no—
1368C2×D4—942no—
1369C2×D4—942no—
1370C2×D4—942no—
1371C2×D4—942no—
1372C2×D4—942no—
1373C2×D4—941no—
1374C2×D4—941no—
1375C2×D4—941no—
1376C2×D4—941no—
1377C2×D4—941no—
1378C2×D4—941no—
1379C2×D4—941no—
1380C2×D4—941no—
1381C2×D4—941no—
1382C2×D4—3762no—
1383C2×D4—1884no—
1384C2×D4C23×D4711yescharacteristic
1385C2×D4C23×D4711yescharacteristic
1386C2×D4C23×D4711yescharacteristic
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—471no—
1393C22×C4—471no—
1394C22×C4—471no—
1395C22×C4—471no—
1396C22×C4—471no—
1397C22×C4—471no—
1398C22×C4—471no—
1399C22×C4—941no—
1400C22×C4—941no—
1401C22×C4—941no—
1402C22×C4—941no—
1403C22×C4—941no—
1404C22×C4—941no—
1405C22×C4—941no—
1406C22×C4—941no—
1407C22×C4—941no—
1408C22×C4—941no—
1409C22×C4—941no—
1410C22×C4—941no—
1411C22×C4—941no—
1412C22×C4—941no—
1413C22×C4—941no—
1414C22×C4—941no—
1415C22×C4—941no—
1416C22×C4—941no—
1417C22×C4—941no—
1418C22×C4—941no—
1419C22×C4—3762no—
1420C22×C4—3762no—
1421C22×C4—3762no—
1422C22×C4—3762no—
1423C22×C4—1884no—
1424SD16—22no—
1425SD16—942no—
1426SD16—942no—
1427SD16—942no—
1428D8—22no—
1429D8—22no—
1430D8—942no—
1431D8—942no—
1432D8—942no—
1433D8—942no—
1434D8—942no—
1435D8—942no—
1436C2×C8—471no—
1437C2×C8—471no—
1438C2×C8—471no—
1439C2×C8—471no—
1440C2×C8—942no—
1441C2×C8—942no—
1442C2×C8—942no—
1443C2×C8—942no—
1444C2×C8C23×D4711yescharacteristic
1445C2×C8C23×D4711yescharacteristic
1446C2×C8C23×D4711yescharacteristic
1447C2×C8C23×D4711yescharacteristic
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—471no—
1455C4⋊C4—471no—
1456C4⋊C4—471no—
1457C4⋊C4—471no—
1458C4⋊C4—471no—
1459C4⋊C4—471no—
1460C4⋊C4—471no—
1461C4⋊C4—471no—
1462C4⋊C4—471no—
1463C4⋊C4—471no—
1464C4⋊C4—471no—
1465C4⋊C4—471no—
1466C4⋊C4—471no—
1467C4⋊C4—941no—
1468C4⋊C4—941no—
1469C4⋊C4—941no—
1470C4⋊C4—941no—
1471C4⋊C4—941no—
1472C4⋊C4—941no—
1473C4⋊C4—941no—
1474C4⋊C4—941no—
1475C4⋊C4—941no—
1476C4⋊C4—941no—
1477C4⋊C4—941no—
1478C4⋊C4—941no—
1479C4⋊C4—941no—
1480C4⋊C4—941no—
1481C4⋊C4—941no—
1482C4⋊C4—941no—
1483C4⋊C4—941no—
1484C4⋊C4—941no—
1485C4⋊C4—941no—
1486C4⋊C4—941no—
1487C4⋊C4—941no—
1488C4⋊C4—941no—
1489C4⋊C4D4×D4711yescharacteristic
1490C4⋊C4D4×D4711yescharacteristic
1491C4⋊C4D4×D4711yescharacteristic
1492C4⋊C4C23×D4711yescharacteristic
1493C4⋊C4C23×D4711yescharacteristic
1494C4⋊C4C23×D4711yescharacteristic
1495C4⋊C4C23×D4711yescharacteristic
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—941no—
1506C22⋊C4—941no—
1507C22⋊C4—941no—
1508C22⋊C4—941no—
1509C22⋊C4—941no—
1510C22⋊C4—941no—
1511C22⋊C4—941no—
1512C22⋊C4—941no—
1513C22⋊C4—941no—
1514C22⋊C4—941no—
1515C22⋊C4—941no—
1516C22⋊C4—941no—
1517C22⋊C4—941no—
1518C22⋊C4—941no—
1519C22⋊C4—941no—
1520C22⋊C4—941no—
1521C22⋊C4—941no—
1522C22⋊C4—941no—
1523C22⋊C4—941no—
1524C22⋊C4—941no—
1525C22⋊C4—941no—
1526C22⋊C4—941no—
1527C22⋊C4—941no—
1528C22⋊C4—941no—
1529C22⋊C4—941no—
1530C22⋊C4—941no—
1531C22⋊C4—941no—
1532C42—21no—
1533C42—471no—
1534C42—471no—
1535C42—471no—
1536C42—471no—
1537C42—471no—
1538C42—471no—
1539C42—471no—
1540C42—471no—
1541C42—471no—
1542C42—941no—
1543C42—941no—
1544C42—941no—
1545C42C23×D4711yescharacteristic
1546C42C23×D4711yescharacteristic
1547C42C23×D4711yescharacteristic
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—471no—
1552C23—944no—
1553C23—941no—
1554C23—941no—
1555C23—941no—
1556C23—1882no—
1557C23—1882no—
1558C23—1882no—
1559C23—1882no—
1560C23—1882no—
1561C23—1882no—
1562C23—1882no—
1563C23—1882no—
1564Q8—21no—
1565Q8—21no—
1566Q8—41no—
1567Q8—81no—
1568Q8—941no—
1569Q8—941no—
1570Q8—3761no—
1571Q8—3761no—
1572Q8—3761no—
1573Q8—1881no—
1574Q8—1881no—
1575Q8—1881no—
1576Q8—1882no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—21no—
1581D4—21no—
1582D4—42no—
1583D4—81no—
1584D4—472no—
1585D4—944no—
1586D4—941no—
1587D4—941no—
1588D4—941no—
1589D4—941no—
1590D4—941no—
1591D4—3761no—
1592D4—3761no—
1593D4—3761no—
1594D4—1882no—
1595D4—1882no—
1596D4—1882no—
1597D4—1882no—
1598D4—1882no—
1599D4#41×D4712yes—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—42no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—471no—
1611C2×C4—472no—
1612C2×C4—472no—
1613C2×C4—471no—
1614C2×C4—471no—
1615C2×C4—471no—
1616C2×C4—471no—
1617C2×C4—471no—
1618C2×C4—471no—
1619C2×C4—942no—
1620C2×C4—942no—
1621C2×C4—942no—
1622C2×C4—942no—
1623C2×C4—942no—
1624C2×C4—942no—
1625C2×C4—941no—
1626C2×C4—941no—
1627C2×C4—941no—
1628C2×C4—941no—
1629C2×C4—941no—
1630C2×C4—3761no—
1631C2×C4—3761no—
1632C2×C4—3761no—
1633C2×C4—3761no—
1634C2×C4—3761no—
1635C2×C4—3761no—
1636C2×C4—3761no—
1637C2×C4—3761no—
1638C2×C4—3761no—
1639C2×C4—3761no—
1640C2×C4—3761no—
1641C2×C4—3761no—
1642C2×C4—1882no—
1643C2×C4—1882no—
1644C2×C4—1882no—
1645C2×C4—1882no—
1646C2×C4—1882no—
1647C2×C4—1882no—
1648C2×C4—1882no—
1649C2×C4—1882no—
1650C2×C4C2×D4×D4711yescharacteristic
1651C2×C4C2×D4×D4711yescharacteristic
1652C2×C4C2×D4×D4711yescharacteristic
1653C2×C4C2×D4×D4711yescharacteristic
1654C2×C4C2×D4×D4711yescharacteristic
1655C2×C4C2×D4×D4711yescharacteristic
1656C2×C4C24×D4711yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—941no—
1662C8—941no—
1663C8—941no—
1664C8—941no—
1665C22—22no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—472no—
1675C22—472no—
1676C22—472no—
1677C22—942no—
1678C22—3764no—
1679C22—3764no—
1680C22—1888no—
1681C22—1881no—
1682C22—1881no—
1683C22—1881no—
1684C22—1881no—
1685C22—1881no—
1686C22—1881no—
1687C22—1881no—
1688C22—1881no—
1689C22C22×D4×D4711yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—472no—
1702C4—941no—
1703C4—941no—
1704C4—941no—
1705C4—941no—
1706C4—941no—
1707C4—941no—
1708C4—1881no—
1709C4—1881no—
1710C4—1881no—
1711C4—1881no—
1712C4—1881no—
1713C4C2×#41×D4711yescharacteristic
1714C42−1+4×D4711yescharacteristic
1715C2—42no—
1716C2—81no—
1717C2—81no—
1718C2—474no—
1719C2—3761no—
1720C2—3761no—
1721C2—1882no—
1722C2#548×D4711yescharacteristic
1723C2#575×D4711yescharacteristic
1724C2#576×D4711yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3370C2
socleC22×C47C23×D4
prime radical#459×D47C2
hypercenter#3370D47
hypocenterC47C2×#3370
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3370

Complements

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

NH ≅ G/Ntype
1. #559×D47C2semidirect
2. #554×D47C2semidirect
3. #20256148C2semidirect
4. #20256147C2semidirect
5. #20256146C2semidirect
6. #20256145C2semidirect
7. #20256144C2semidirect
8. #20256143C2semidirect
9. #20256142C2semidirect
10. #20256141C2semidirect
11. #20256140C2semidirect
12. #20256139C2semidirect
13. #20256138C2semidirect
14. #20256137C2semidirect
15. #20256136C2semidirect
16. #20256135C2semidirect
17. #20256134C2semidirect
18. #490×D47C2semidirect
19. #489×D47C2semidirect
20. #488×D47C2semidirect
21. #479×D47C2semidirect
22. #478×D47C2semidirect
23. #474×D47C2semidirect
24. #463×D47C2semidirect
25. #463×D47C2semidirect
27. #446×D47C2semidirect
28. #442×D47C2semidirect
29. #440×D47C2semidirect
30. C4×D8×D47C2semidirect
31. C47×#3370C2semidirect
35. #15689859C22semidirect
36. #15689858C22semidirect
37. #15689858C22semidirect
41. #15689856C22semidirect
42. #15689856C22semidirect
44. #15689855C22semidirect
45. #15689855C22semidirect
46. #15689834C22semidirect
47. #15689833C22semidirect
48. #15689832C22semidirect
49. #15689832C22semidirect
51. #15689830C22semidirect
52. #15689829C22semidirect
53. #15689829C22semidirect
78. #15689489C22semidirect
79. #15689488C22semidirect
80. #15689487C22semidirect
81. #15689486C22semidirect
82. #15689486C22semidirect
83. #15689486C22semidirect
84. #15689486C22semidirect
85. #15689485C22semidirect
86. #15689484C22semidirect
87. #15689484C22semidirect
88. #15689483C22semidirect
89. #15689482C22semidirect
90. #15689481C22semidirect
91. #15689481C22semidirect
92. #15689480C22semidirect
93. #15689479C22semidirect
94. #15689479C22semidirect
95. #15689478C22semidirect
96. #15689477C22semidirect
97. #15689476C22semidirect
98. #15689476C22semidirect
99. #15689433C22semidirect
100. #15689432C22semidirect
101. #15689431C22semidirect
102. #15689430C22semidirect
103. #15689429C22semidirect
104. #15689428C22semidirect
105. #15689427C22semidirect
106. #15689426C22semidirect
107. #15689425C22semidirect
108. #15689424C22semidirect
109. #15689423C22semidirect
110. #15689422C22semidirect
111. #15689421C22semidirect
112. #15689420C22semidirect
113. #15689404C22semidirect
114. #15689403C22semidirect
115. #15689402C22semidirect
116. #15689402C22semidirect
117. #15689401C22semidirect
118. #15689401C22semidirect
119. #15689400C22semidirect
120. #15689341C22semidirect
121. #15689341C22semidirect
122. #15689340C22semidirect
123. #15689340C22semidirect
124. #15689339C22semidirect
125. #15689339C22semidirect
126. #15689338C22semidirect
127. #15689338C22semidirect
128. #15689337C22semidirect
129. #15689337C22semidirect
130. #15689336C22semidirect
131. #15689336C22semidirect
132. #15689335C22semidirect
133. #15689335C22semidirect
141. #15689254C22semidirect
142. #15689253C22semidirect
143. #15689252C22semidirect
144. #15689252C22semidirect
145. #15689251C22semidirect
146. #15689251C22semidirect
147. #15689250C22semidirect
148. #15689236C22semidirect
149. #15689235C22semidirect
150. #15689234C22semidirect
151. #15689233C22semidirect
152. #15689233C22semidirect
153. #15689232C22semidirect
154. #15689232C22semidirect
155. #15689226C22semidirect
156. #15689225C22semidirect
157. #15689224C22semidirect
158. #15689223C22semidirect
159. #15689222C22semidirect
160. #15689221C22semidirect
161. #15689220C22semidirect
162. C4×D376C22semidirect
163. D8×Dic47C22semidirect
164. #15689205C22semidirect
165. C4×#10625334C22semidirect
166. C4×#10625334C22semidirect
167. #15689203C22semidirect
168. #15689203C22semidirect
188. C47×#559C22semidirect
189. C47×#554C22semidirect
190. C47×#490C22semidirect
191. C47×#489C22semidirect
192. C47×#488C22semidirect
193. C47×#479C22semidirect
194. C47×#478C22semidirect
195. C47×#474C22semidirect
196. C47×#463C22semidirect
197. C47×#463C22semidirect
199. C47×#446C22semidirect
200. C47×#442C22semidirect
201. C47×#440C22semidirect
202. C4×D8×C47C22semidirect
870. #3370D47direct (N × H)
893. D47#3370direct (N × H)
908. #559C2×D47semidirect
920. #554C2×D47semidirect
949. #490C2×D47semidirect
957. #489C2×D47semidirect
965. #488C2×D47semidirect
973. #479C2×D47semidirect
981. #478C2×D47semidirect
989. #474C2×D47semidirect
1004. #463C2×D47semidirect
1005. #463C2×D47semidirect
1021. #446C2×D47semidirect
1029. #442C2×D47semidirect
1037. #440C2×D47semidirect
1045. C4×D8C2×D47semidirect
1065. C47C2×#3370semidirect

Maximal subgroups

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

subgroupindex
#559×D472
#554×D472
#202561482
#202561472
#202561462
#202561452
#202561442
#202561432
#202561422
#202561412
#202561402
#202561392
#202561382
#202561372
#202561362
#202561352
#202561342
#490×D472
#489×D472
#488×D472
#479×D472
#478×D472
#474×D472
#463×D472
#459×D472
#446×D472
#442×D472
#440×D472
C4×D8×D472
C47×#33702
C2×#337047