Finite Group Databasebeta

← #27082566

Subgroups — #27082566

Order 12032.

1628 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257533C211yesmaximal, characteristic
2#20252556C211yesmaximal, characteristic, complemented
3#20252554C211yesmaximal, characteristic, complemented
4#20252549C211yesmaximal, characteristic, complemented
5#20252545C211yesmaximal, characteristic, complemented
6#20252534C211yesmaximal, characteristic, complemented
7#20252534C211yesmaximal, characteristic, complemented
8#20252533C211yesmaximal, characteristic, complemented
9#20252528C211yesmaximal, characteristic, complemented
10#20252525C211yesmaximal, characteristic, complemented
11#20252491C211yesmaximal, characteristic, complemented
12#20252489C211yesmaximal, characteristic, complemented
13#20252487C211yesmaximal, characteristic, complemented
14#20252480C211yesmaximal, characteristic, complemented
15#20252479C211yesmaximal, characteristic, complemented
16#20252390C211yesmaximal, characteristic, complemented
17#20252387C211yesmaximal, characteristic, complemented
18#20252384C211yesmaximal, characteristic, complemented
19#20252383C211yesmaximal, characteristic, complemented
20#20252377C211yesmaximal, characteristic, complemented
21#20252376C211yesmaximal, characteristic, complemented
22#20252374C211yesmaximal, characteristic, complemented
23#20252370C211yesmaximal, characteristic, complemented
24#20252366C211yesmaximal, characteristic, complemented
25#20252361C211yesmaximal, characteristic, complemented
26#20252334C211yesmaximal, characteristic, complemented
27#20252333C211yesmaximal, characteristic, complemented
28#20252327C211yesmaximal, characteristic, complemented
29#20252325C211yesmaximal, characteristic, complemented
30#20252317C211yesmaximal, characteristic, complemented
31C47×#2993C211yesmaximal, characteristic, complemented
32C47⋊#564C411yescharacteristic
33#15689877C411yescharacteristic
34#15689876C411yescharacteristic
35#15689876C411yescharacteristic
36#15689875C411yescharacteristic
37#15689875C411yescharacteristic
38#15689875C411yescharacteristic
39#15689875C411yescharacteristic
40#15689874C411yescharacteristic
41#15689874C411yescharacteristic
42#15689873C411yescharacteristic
43#15689870C411yescharacteristic
44#15689870C411yescharacteristic
45#15689868C411yescharacteristic
46#15689868C411yescharacteristic
47#15689867C411yescharacteristic
48#15689680C2211yescharacteristic
49#15689677C2211yescharacteristic
50#15689677C2211yescharacteristic
51#15689676C2211yescharacteristic
52#15689676C2211yescharacteristic
53#15689657C2211yescharacteristic
54#15689655C2211yescharacteristic
55#15689655C2211yescharacteristic
56#15689653C2211yescharacteristic
57#15689653C2211yescharacteristic
58#15689653C2211yescharacteristic
59#15689653C2211yescharacteristic
60#15689651C2211yescharacteristic
61#15689651C2211yescharacteristic
62#15689254C2211yescharacteristic
63#15689254C2211yescharacteristic
64#15689253C2211yescharacteristic
65#15689253C2211yescharacteristic
66#15689253C2211yescharacteristic
67#15689252C2211yescharacteristic
68#15689252C2211yescharacteristic
69#15689252C2211yescharacteristic
70#15689252C2211yescharacteristic
71#15689252C2211yescharacteristic
72#15689252C2211yescharacteristic
73#15689252C2211yescharacteristic
74#15689252C2211yescharacteristic
75#15689252C2211yescharacteristic
76#15689252C2211yescharacteristic
77#15689252C2211yescharacteristic
78#15689252C2211yescharacteristic
79#15689252C2211yescharacteristic
80#15689252C2211yescharacteristic
81#15689251C2211yescharacteristic
82#15689251C2211yescharacteristic
83#15689251C2211yescharacteristic
84#15689251C2211yescharacteristic
85#15689250C2211yescharacteristic
86#15689250C2211yescharacteristic
87#15689250C2211yescharacteristic
88#15689250C2211yescharacteristic
89#15689250C2211yescharacteristic
90#15689250C2211yescharacteristic
91C8×Dic94C2211yescharacteristic
92C8×Dic94C2211yescharacteristic
93C8×Dic94C2211yescharacteristic
94C8×Dic94C2211yescharacteristic
95C8×Dic94C2211yescharacteristic
96#15689247C2211yescharacteristic
97#15689247C2211yescharacteristic
98#15689247C2211yescharacteristic
99#15689247C2211yescharacteristic
100#15689200C2211yescharacteristic
101#15689199C2211yescharacteristic
102#15689199C2211yescharacteristic
103#15689199C2211yescharacteristic
104#15689198C2211yescharacteristic
105#15689198C2211yescharacteristic
106#15689198C2211yescharacteristic
107#15689197C2211yescharacteristic
108#15689195C2211yescharacteristic
109#15689195C2211yescharacteristic
110#15689195C2211yescharacteristic
111#15689195C2211yescharacteristic
112#15689194C2211yescharacteristic
113#15689194C2211yescharacteristic
114#15689194C2211yescharacteristic
115#15689193C2211yescharacteristic
116#15689193C2211yescharacteristic
117#15689192C2211yescharacteristic
118#15689192C2211yescharacteristic
119#15689192C2211yescharacteristic
120#15689192C2211yescharacteristic
121#15689192C2211yescharacteristic
122#15689191C2211yescharacteristic
123#15689191C2211yescharacteristic
124#15689191C2211yescharacteristic
125D4×C47⋊C8C2211yescharacteristic
126D4×C47⋊C8C2211yescharacteristic
127#15689188C2211yescharacteristic
128C8×C22⋊D47C2211yescharacteristic
129(C22⋊D47)⋊C8C2211yescharacteristic
130(C22⋊D47)⋊C8C2211yescharacteristic
131(C22⋊D47)⋊C8C2211yescharacteristic
132(C22⋊D47)⋊C8C2211yescharacteristic
133(C22⋊D47)⋊C8C2211yescharacteristic
134#15689185C2211yescharacteristic
135#15689184C2211yescharacteristic
136#15689184C2211yescharacteristic
137#15689183C2211yescharacteristic
138#15689183C2211yescharacteristic
139#15689183C2211yescharacteristic
140#15689183C2211yescharacteristic
141#15689182C2211yescharacteristic
142#15689182C2211yescharacteristic
143#15689182C2211yescharacteristic
144#15689181C2211yescharacteristic
145#15689181C2211yescharacteristic
146#15689181C2211yescharacteristic
147#15689181C2211yescharacteristic
148#15689181C2211yescharacteristic
149#15689181C2211yescharacteristic
150#15689181C2211yescharacteristic
151#15689181C2211yescharacteristic
152#15689179C2211yescharacteristic
153#15689179C2211yescharacteristic
154#15689178C2211yescharacteristic
155#15689177C2211yescharacteristic
156#15689176C2211yescharacteristic
157#15689174C2211yescharacteristic
158#15689173C2211yescharacteristic
159#15689173C2211yescharacteristic
160#15689173C2211yescharacteristic
161#15689151C2211yescharacteristic
162#15689151C2211yescharacteristic
163#15689151C2211yescharacteristic
164#15689149C2211yescharacteristic
165#15689148C2211yescharacteristic
166#15689148C2211yescharacteristic
167#15689148C2211yescharacteristic
168#15689148C2211yescharacteristic
169#15689146C2211yescharacteristic
170#15689145C2211yescharacteristic
171C2×Dic47⋊C8C2211yescharacteristic
172C4⋊C8×D47C2211yescharacteristic
173#15689081C2211yescharacteristic
174#15689081C2211yescharacteristic
175#15689081C2211yescharacteristic
176#15689080C2211yescharacteristic
177#15689079C2211yescharacteristic
178#15689079C2211yescharacteristic
179#15689078C2211yescharacteristic
180#15689077C2211yescharacteristic
181#15689077C2211yescharacteristic
182#15689077C2211yescharacteristic
183#15689075C2211yescharacteristic
184M16×Dic47C2211yescharacteristic
185C2×#13093935C2211yescharacteristic
186C2×#13093934C2211yescharacteristic
187C4×C8×D47C2211yescharacteristic
188C47×#529C2211yescharacteristic
189C47×#446C2211yescharacteristic
190C8×Q8×C47C2211yescharacteristic
191C47×#436C2211yescharacteristic
192C47×#436C2211yescharacteristic
193C47×#436C2211yescharacteristic
194C47×#435C2211yescharacteristic
195C47×#435C2211yescharacteristic
196C8×D4×C47C2211yescharacteristic
197C47×#433C2211yescharacteristic
198C47×#433C2211yescharacteristic
199C47×#431C2211yescharacteristic
200C47×#424C2211yescharacteristic
201C47×#424C2211yescharacteristic
202C47×#423C2211yescharacteristic
203C2×#10625329C2311yescharacteristic
204C2×#10625329C2311yescharacteristic
205C2×#10625324C2311yescharacteristic
206C2×#10625324C2311yescharacteristic
207C2×#10625324C2311yescharacteristic
208C2×#10625324C2311yescharacteristic
209C22×C47⋊C8C2311yescharacteristic
210C22×C47⋊C8C2311yescharacteristic
211C22×C47⋊C8C2311yescharacteristic
212C22×C47⋊C8C2311yescharacteristic
213C2×C8×D47C2311yescharacteristic
214C2×C8×D47C2311yescharacteristic
215C2×C8×D47C2311yescharacteristic
216C2×C8×D47C2311yescharacteristic
217#13094024C2×C411yescharacteristic
218#13094024C2×C411yescharacteristic
219#13094023C2×C411yescharacteristic
220#13094023C2×C411yescharacteristic
221#13094023C2×C411yescharacteristic
222#13094023C2×C411yescharacteristic
223#13094023C2×C411yescharacteristic
224#13094023C2×C411yescharacteristic
225#13094022C2×C411yescharacteristic
226#13094022C2×C411yescharacteristic
227#13094019C2×C411yescharacteristic
228#13094019C2×C411yescharacteristic
229#13094019C2×C411yescharacteristic
230#13094019C2×C411yescharacteristic
231#13094019C2×C411yescharacteristic
232#13094019C2×C411yescharacteristic
233#13094018C2×C411yescharacteristic
234#13094018C2×C411yescharacteristic
235#13094017C2×C411yescharacteristic
236#13094017C2×C411yescharacteristic
237#13094017C2×C411yescharacteristic
238#13094017C2×C411yescharacteristic
239#13094017C2×C411yescharacteristic
240#13094017C2×C411yescharacteristic
241#13094017C2×C411yescharacteristic
242#13094017C2×C411yescharacteristic
243#13094017C2×C411yescharacteristic
244#13094017C2×C411yescharacteristic
245#13094016C2×C411yescharacteristic
246#13094016C2×C411yescharacteristic
247#13094016C2×C411yescharacteristic
248#13094015C2×C411yescharacteristic
249#13094015C2×C411yescharacteristic
250#13094015C2×C411yescharacteristic
251#13094015C2×C411yescharacteristic
252#13094015C2×C411yescharacteristic
253#13094015C2×C411yescharacteristic
254#13094014C2×C411yescharacteristic
255#13094014C2×C411yescharacteristic
256#13094014C2×C411yescharacteristic
257#13094014C2×C411yescharacteristic
258#13094014C2×C411yescharacteristic
259#13094014C2×C411yescharacteristic
260#13094014C2×C411yescharacteristic
261#13094014C2×C411yescharacteristic
262#13094014C2×C411yescharacteristic
263#13094014C2×C411yescharacteristic
264#13094012C2×C411yescharacteristic
265#13094011C2×C411yescharacteristic
266#13094011C2×C411yescharacteristic
267#13094010C2×C411yescharacteristic
268#13094010C2×C411yescharacteristic
269#13094010C2×C411yescharacteristic
270#13094010C2×C411yescharacteristic
271#13094010C2×C411yescharacteristic
272#13094010C2×C411yescharacteristic
273#13094009C2×C411yescharacteristic
274#13094009C2×C411yescharacteristic
275#13094008C2×C411yescharacteristic
276#13094008C2×C411yescharacteristic
277#13094008C2×C411yescharacteristic
278#13094008C2×C411yescharacteristic
279#13094007C2×C411yescharacteristic
280#13094007C2×C411yescharacteristic
281#13094006C2×C411yescharacteristic
282#13094006C2×C411yescharacteristic
283#13094006C2×C411yescharacteristic
284#13094006C2×C411yescharacteristic
285#13094006C2×C411yescharacteristic
286#13094006C2×C411yescharacteristic
287#13094005C2×C411yescharacteristic
288#13094005C2×C411yescharacteristic
289#13094005C2×C411yescharacteristic
290#13094005C2×C411yescharacteristic
291#13094004C2×C411yescharacteristic
292#13094004C2×C411yescharacteristic
293#13094004C2×C411yescharacteristic
294#13094004C2×C411yescharacteristic
295#13094003C2×C411yescharacteristic
296#13094003C2×C411yescharacteristic
297#13094003C2×C411yescharacteristic
298#13094003C2×C411yescharacteristic
299#13094003C2×C411yescharacteristic
300#13094002C2×C411yescharacteristic
301#13094002C2×C411yescharacteristic
302#13094002C2×C411yescharacteristic
303#13094002C2×C411yescharacteristic
304#13094002C2×C411yescharacteristic
305#13094002C2×C411yescharacteristic
306#13094001C2×C411yescharacteristic
307#13094001C2×C411yescharacteristic
308#13094001C2×C411yescharacteristic
309#13094001C2×C411yescharacteristic
310#13094001C2×C411yescharacteristic
311#13094001C2×C411yescharacteristic
312#13094001C2×C411yescharacteristic
313#13094001C2×C411yescharacteristic
314#13094001C2×C411yescharacteristic
315#13094001C2×C411yescharacteristic
316#13094001C2×C411yescharacteristic
317#13094001C2×C411yescharacteristic
318#13094000C2×C411yescharacteristic
319#13094000C2×C411yescharacteristic
320#13093998C2×C411yescharacteristic
321#13093997C2×C411yescharacteristic
322#13093997C2×C411yescharacteristic
323#13093996C2×C411yescharacteristic
324#13093996C2×C411yescharacteristic
325#13093996C2×C411yescharacteristic
326#13093996C2×C411yescharacteristic
327#13093995C2×C411yescharacteristic
328#13093995C2×C411yescharacteristic
329C4×Dic94C2311yescharacteristic
330C4×Dic94C2311yescharacteristic
331C4×Dic94C2311yescharacteristic
332C4×Dic94C2311yescharacteristic
333C4×Dic94C2311yescharacteristic
334C4×Dic94C2311yescharacteristic
335C4×Dic94C2311yescharacteristic
336C4×Dic94C2311yescharacteristic
337C4×Dic94C2311yescharacteristic
338C4×D188C2311yescharacteristic
339C4×C22⋊D47C2311yescharacteristic
340C4×C22⋊D47C2311yescharacteristic
341C4×C22⋊D47C2311yescharacteristic
342C4×C22⋊D47C2311yescharacteristic
343C4×C22⋊D47C2311yescharacteristic
344C4×C22⋊D47C2311yescharacteristic
345#13093983C2311yescharacteristic
346#13093983C2311yescharacteristic
347#13093983C2311yescharacteristic
348#13093983C2311yescharacteristic
349#13093981C2311yescharacteristic
350#13093981C2311yescharacteristic
351#13093981C2311yescharacteristic
352#13093981C2311yescharacteristic
353C2×C4×Dic47C2311yescharacteristic
354C2×C4×Dic47C2311yescharacteristic
355C42×D47C2311yescharacteristic
356C42×D47C2311yescharacteristic
357C4⋊(C47⋊C8)C2311yescharacteristic
358C4⋊(C47⋊C8)C2311yescharacteristic
359C4⋊(C47⋊C8)C2311yescharacteristic
360C4⋊(C47⋊C8)C2311yescharacteristic
361C4⋊(C47⋊C8)C2311yescharacteristic
362C4⋊(C47⋊C8)C2311yescharacteristic
363Dic47⋊C8C2311yescharacteristic
364Dic47⋊C8C2311yescharacteristic
365Dic47⋊C8C2311yescharacteristic
366Dic47⋊C8C2311yescharacteristic
367Dic47⋊C8C2311yescharacteristic
368Dic47⋊C8C2311yescharacteristic
369Dic47⋊C8C2311yescharacteristic
370Dic47⋊C8C2311yescharacteristic
371Dic47⋊C8C2311yescharacteristic
372Dic47⋊C8C2311yescharacteristic
373Dic47⋊C8C2311yescharacteristic
374Dic47⋊C8C2311yescharacteristic
375Dic47⋊C8C2311yescharacteristic
376Dic47⋊C8C2311yescharacteristic
377Dic47⋊C8C2311yescharacteristic
378Dic47⋊C8C2311yescharacteristic
379Dic47⋊C8C2311yescharacteristic
380Dic47⋊C8C2311yescharacteristic
381Dic47⋊C8C2311yescharacteristic
382Dic47⋊C8C2311yescharacteristic
383Dic47⋊C8C2311yescharacteristic
384Dic47⋊C8C2311yescharacteristic
385Dic47⋊C8C2311yescharacteristic
386Dic47⋊C8C2311yescharacteristic
387C22⋊(C47⋊C8)C2311yescharacteristic
388C22⋊(C47⋊C8)C2311yescharacteristic
389C22⋊(C47⋊C8)C2311yescharacteristic
390C22⋊(C47⋊C8)C2311yescharacteristic
391C22⋊(C47⋊C8)C2311yescharacteristic
392C22⋊(C47⋊C8)C2311yescharacteristic
393(C2×D47)⋊C8C2311yescharacteristic
394(C2×D47)⋊C8C2311yescharacteristic
395(C2×D47)⋊C8C2311yescharacteristic
396(C2×D47)⋊C8C2311yescharacteristic
397(C2×D47)⋊C8C2311yescharacteristic
398(C2×D47)⋊C8C2311yescharacteristic
399(C2×D47)⋊C8C2311yescharacteristic
400(C2×D47)⋊C8C2311yescharacteristic
401#13093935C2311yescharacteristic
402#13093935C2311yescharacteristic
403#13093935C2311yescharacteristic
404#13093935C2311yescharacteristic
405#13093935C2311yescharacteristic
406#13093935C2311yescharacteristic
407#13093934C2311yescharacteristic
408#13093934C2311yescharacteristic
409#13093934C2311yescharacteristic
410#13093934C2311yescharacteristic
411#13093934C2311yescharacteristic
412#13093934C2311yescharacteristic
413#13093934C2311yescharacteristic
414#13093934C2311yescharacteristic
415#13093934C2311yescharacteristic
416#13093934C2311yescharacteristic
417#13093934C2311yescharacteristic
418#13093934C2311yescharacteristic
419C4×C47⋊C8C2311yescharacteristic
420C4×C47⋊C8C2311yescharacteristic
421C4×C47⋊C8C2311yescharacteristic
422C4×C47⋊C8C2311yescharacteristic
423C8×Dic47C2311yescharacteristic
424C8×Dic47C2311yescharacteristic
425C8×Dic47C2311yescharacteristic
426C8×Dic47C2311yescharacteristic
427C8×Dic47C2311yescharacteristic
428C8×Dic47C2311yescharacteristic
429C8×Dic47C2311yescharacteristic
430C8×Dic47C2311yescharacteristic
431C8×Dic47C2311yescharacteristic
432C8×Dic47C2311yescharacteristic
433C8×Dic47C2311yescharacteristic
434C8×Dic47C2311yescharacteristic
435C2×M16×C47C2311yescharacteristic
436C2×M16×C47C2311yescharacteristic
437C2×M16×C47C2311yescharacteristic
438C2×M16×C47C2311yescharacteristic
439C22×C8×C47C2311yescharacteristic
440C22×C8×C47C2311yescharacteristic
441#126×C47C2×C411yescharacteristic
442#126×C47C2×C411yescharacteristic
443#125×C47C2×C411yescharacteristic
444#124×C47C2×C411yescharacteristic
445#123×C47C2×C411yescharacteristic
446#123×C47C2×C411yescharacteristic
447C22⋊Q8×C47C2×C411yescharacteristic
448#121×C47C2×C411yescharacteristic
449C4×Q8×C47C2311yescharacteristic
450C4×D4×C47C2311yescharacteristic
451C4×D4×C47C2311yescharacteristic
452C4×D4×C47C2311yescharacteristic
453#117×C47C2311yescharacteristic
454#117×C47C2311yescharacteristic
455C2×C42×C47C2311yescharacteristic
456C4⋊C8×C47C2311yescharacteristic
457C4⋊C8×C47C2311yescharacteristic
458C4⋊C8×C47C2311yescharacteristic
459C4⋊C8×C47C2311yescharacteristic
460C4⋊C8×C47C2311yescharacteristic
461C4⋊C8×C47C2311yescharacteristic
462C4⋊C8×C47C2311yescharacteristic
463C4⋊C8×C47C2311yescharacteristic
464C4⋊C8×C47C2311yescharacteristic
465C4⋊C8×C47C2311yescharacteristic
466C22⋊C8×C47C2311yescharacteristic
467C22⋊C8×C47C2311yescharacteristic
468C22⋊C8×C47C2311yescharacteristic
469C22⋊C8×C47C2311yescharacteristic
470C22⋊C8×C47C2311yescharacteristic
471C22⋊C8×C47C2311yescharacteristic
472#97×C47C2311yescharacteristic
473#97×C47C2311yescharacteristic
474C4×C8×C47C2311yescharacteristic
475C4×C8×C47C2311yescharacteristic
476C4×C8×C47C2311yescharacteristic
477C4×C8×C47C2311yescharacteristic
478C2×Q8×C47C22×C411yescharacteristic
479C2×D4×C47C22×C411yescharacteristic
480C2×D4×C47C22×C411yescharacteristic
481C2×D4×C47C22×C411yescharacteristic
482C22×C4×C47C22×C411yescharacteristic
483C22×C4×C47C22×C411yescharacteristic
484C22×C4×C47C2411yescharacteristic
485C22×C4×C47C2411yescharacteristic
486C22×C4×C47C2411yescharacteristic
487C2×C22⋊D47C22×C411yescharacteristic
488C2×C22⋊D47C22×C411yescharacteristic
489C2×C22⋊D47C22×C411yescharacteristic
490C2×C22⋊D47C22×C411yescharacteristic
491C2×C22⋊D47C22×C411yescharacteristic
492C2×C22⋊D47C22×C411yescharacteristic
493C22×Dic47C22×C411yescharacteristic
494C22×Dic47C22×C411yescharacteristic
495C22×Dic47C22×C411yescharacteristic
496C22×Dic47C22×C411yescharacteristic
497C2×D188C22×C411yescharacteristic
498C2×C4×D47C22×C411yescharacteristic
499C2×C4×D47C22×C411yescharacteristic
500C2×C4×D47C22×C411yescharacteristic
501C2×C4×D47C22×C411yescharacteristic
502C2×C4×D47C2411yescharacteristic
503C2×C4×D47C2411yescharacteristic
504C2×Dic94C22×C411yescharacteristic
505C2×Dic94C22×C411yescharacteristic
506C2×Dic94C22×C411yescharacteristic
507C2×Dic94C22×C411yescharacteristic
508C2×Dic94C22×C411yescharacteristic
509C2×Dic94C22×C411yescharacteristic
510C2×Dic94C22×C411yescharacteristic
511C2×Dic94C22×C411yescharacteristic
512C2×Dic94C22×C411yescharacteristic
513M16×C47—41no—
514M16×C47—41no—
515M16×C47—41no—
516M16×C47—41no—
517C2×C8×C47—41no—
518C2×C8×C47—41no—
519C2×C8×C47C2411yescharacteristic
520C2×C8×C47C2411yescharacteristic
521C2×C8×C47C2411yescharacteristic
522C2×C8×C47C2411yescharacteristic
523C2×C8×C47C2411yescharacteristic
524C2×C8×C47C2411yescharacteristic
525C2×C8×C47C2411yescharacteristic
526C2×C8×C47C2411yescharacteristic
527C4⋊C4×C47C22×C411yescharacteristic
528C4⋊C4×C47C22×C411yescharacteristic
529C4⋊C4×C47C22×C411yescharacteristic
530C4⋊C4×C47C22×C411yescharacteristic
531C4⋊C4×C47C22×C411yescharacteristic
532C4⋊C4×C47C22×C411yescharacteristic
533C4⋊C4×C47C22×C411yescharacteristic
534C4⋊C4×C47C22×C411yescharacteristic
535C4⋊C4×C47C22×C411yescharacteristic
536C4⋊C4×C47C22×C411yescharacteristic
537C22⋊C4×C47C22×C411yescharacteristic
538C22⋊C4×C47C22×C411yescharacteristic
539C22⋊C4×C47C22×C411yescharacteristic
540C22⋊C4×C47C22×C411yescharacteristic
541C22⋊C4×C47C22×C411yescharacteristic
542C22⋊C4×C47C22×C411yescharacteristic
543C22⋊C4×C47C22×C411yescharacteristic
544C22⋊C4×C47C22×C411yescharacteristic
545C22⋊C4×C47C22×C411yescharacteristic
546C22⋊C4×C47C22×C411yescharacteristic
547C42×C47C22×C411yescharacteristic
548C42×C47C22×C411yescharacteristic
549C42×C47C2411yescharacteristic
550C42×C47C2411yescharacteristic
551C42×C47C2411yescharacteristic
552C42×C47C2411yescharacteristic
553C22⋊Dic47C22×C411yescharacteristic
554C22⋊Dic47C22×C411yescharacteristic
555C22⋊Dic47C22×C411yescharacteristic
556C22⋊Dic47C22×C411yescharacteristic
557C22⋊Dic47C22×C411yescharacteristic
558C22⋊Dic47C22×C411yescharacteristic
559C22⋊Dic47C22×C411yescharacteristic
560C22⋊Dic47C22×C411yescharacteristic
561C22⋊Dic47C22×C411yescharacteristic
562C22⋊Dic47C22×C411yescharacteristic
563C22⋊Dic47C22×C411yescharacteristic
564C22⋊Dic47C22×C411yescharacteristic
565C22⋊Dic47C22×C411yescharacteristic
566C22⋊Dic47C22×C411yescharacteristic
567(C2×D47)⋊C4C22×C411yescharacteristic
568(C2×D47)⋊C4C22×C411yescharacteristic
569(C2×D47)⋊C4C22×C411yescharacteristic
570(C2×D47)⋊C4C22×C411yescharacteristic
571(C2×D47)⋊C4C22×C411yescharacteristic
572(C2×D47)⋊C4C22×C411yescharacteristic
573(C2×D47)⋊C4C22×C411yescharacteristic
574(C2×D47)⋊C4C22×C411yescharacteristic
575(C2×D47)⋊C4C22×C411yescharacteristic
576(C2×D47)⋊C4C22×C411yescharacteristic
577(C2×D47)⋊C4C22×C411yescharacteristic
578(C2×D47)⋊C4C22×C411yescharacteristic
579(C2×D47)⋊C4C22×C411yescharacteristic
580(C2×D47)⋊C4C22×C411yescharacteristic
581(C2×D47)⋊C4C22×C411yescharacteristic
582(C2×D47)⋊C4C22×C411yescharacteristic
583C4⋊Dic47C22×C411yescharacteristic
584C4⋊Dic47C22×C411yescharacteristic
585C4⋊Dic47C22×C411yescharacteristic
586C4⋊Dic47C22×C411yescharacteristic
587C4⋊Dic47C22×C411yescharacteristic
588C4⋊Dic47C22×C411yescharacteristic
589C4⋊Dic47C22×C411yescharacteristic
590C4⋊Dic47C22×C411yescharacteristic
591C4⋊Dic47C22×C411yescharacteristic
592C4⋊Dic47C22×C411yescharacteristic
593C4⋊Dic47C22×C411yescharacteristic
594C4⋊Dic47C22×C411yescharacteristic
595C4⋊Dic47C22×C411yescharacteristic
596C4⋊Dic47C22×C411yescharacteristic
597C4⋊Dic47C22×C411yescharacteristic
598C4⋊Dic47C22×C411yescharacteristic
599C4⋊Dic47C22×C411yescharacteristic
600C4⋊Dic47C22×C411yescharacteristic
601Dic47⋊C4C22×C411yescharacteristic
602Dic47⋊C4C22×C411yescharacteristic
603Dic47⋊C4C22×C411yescharacteristic
604Dic47⋊C4C22×C411yescharacteristic
605Dic47⋊C4C22×C411yescharacteristic
606Dic47⋊C4C22×C411yescharacteristic
607Dic47⋊C4C22×C411yescharacteristic
608Dic47⋊C4C22×C411yescharacteristic
609Dic47⋊C4C22×C411yescharacteristic
610Dic47⋊C4C22×C411yescharacteristic
611Dic47⋊C4C22×C411yescharacteristic
612Dic47⋊C4C22×C411yescharacteristic
613Dic47⋊C4C22×C411yescharacteristic
614Dic47⋊C4C22×C411yescharacteristic
615Dic47⋊C4C22×C411yescharacteristic
616Dic47⋊C4C22×C411yescharacteristic
617Dic47⋊C4C22×C411yescharacteristic
618Dic47⋊C4C22×C411yescharacteristic
619Dic47⋊C4C22×C411yescharacteristic
620Dic47⋊C4C22×C411yescharacteristic
621Dic47⋊C4C22×C411yescharacteristic
622Dic47⋊C4C22×C411yescharacteristic
623Dic47⋊C4C22×C411yescharacteristic
624Dic47⋊C4C22×C411yescharacteristic
625Dic47⋊C4C22×C411yescharacteristic
626Dic47⋊C4C22×C411yescharacteristic
627Dic47⋊C4C22×C411yescharacteristic
628Dic47⋊C4C22×C411yescharacteristic
629Dic47⋊C4C22×C411yescharacteristic
630Dic47⋊C4C22×C411yescharacteristic
631Dic47⋊C4C22×C411yescharacteristic
632Dic47⋊C4C22×C411yescharacteristic
633C4×Dic47C22×C411yescharacteristic
634C4×Dic47C22×C411yescharacteristic
635C4×Dic47C22×C411yescharacteristic
636C4×Dic47C22×C411yescharacteristic
637C4×Dic47C22×C411yescharacteristic
638C4×Dic47C22×C411yescharacteristic
639C4×Dic47C22×C411yescharacteristic
640C4×Dic47C22×C411yescharacteristic
641C4×Dic47C2411yescharacteristic
642C4×Dic47C2411yescharacteristic
643C4×Dic47C2411yescharacteristic
644C4×Dic47C2411yescharacteristic
645C4×Dic47C2411yescharacteristic
646C4×Dic47C2411yescharacteristic
647#10625329—22no—
648#10625329—41no—
649C2×C47⋊C8—22no—
650C2×C47⋊C8—22no—
651C2×C47⋊C8—41no—
652C2×C47⋊C8—41no—
653C2×C47⋊C8C2411yescharacteristic
654C2×C47⋊C8C2411yescharacteristic
655C2×C47⋊C8C2411yescharacteristic
656C2×C47⋊C8C2411yescharacteristic
657C2×C47⋊C8C2411yescharacteristic
658C2×C47⋊C8C2411yescharacteristic
659C2×C47⋊C8C2411yescharacteristic
660C2×C47⋊C8C2411yescharacteristic
661#10625324—22no—
662#10625324—41no—
663#10625324—41no—
664#10625324—41no—
665C8×D47—22no—
666C8×D47—41no—
667C8×D47—41no—
668C8×D47—41no—
669C23×C47C23×C411yescharacteristic
670C23×C47C23×C411yescharacteristic
671C23×C47C23×C411yescharacteristic
672C22×D47C23×C411yescharacteristic
673C22×D47C23×C411yescharacteristic
674Q8×C47—41no—
675D4×C47—41no—
676D4×C47—41no—
677D4×C47—41no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—41no—
685C2×C4×C47—41no—
686C2×C4×C47C23×C411yescharacteristic
687C2×C4×C47C23×C411yescharacteristic
688C2×C4×C47C23×C411yescharacteristic
689C2×C4×C47C23×C411yescharacteristic
690C2×C4×C47C23×C411yescharacteristic
691C2×C4×C47C23×C411yescharacteristic
692C2×C4×C47C23×C411yescharacteristic
693C2×C4×C47C23×C411yescharacteristic
694C2×C4×C47C23×C411yescharacteristic
695C2×C4×C47C23×C411yescharacteristic
696C2×C4×C47C23×C411yescharacteristic
697C2×C4×C47C2511yescharacteristic
698C22⋊D47—41no—
699C22⋊D47—41no—
700C22⋊D47—41no—
701C22⋊D47—41no—
702C22⋊D47—41no—
703C22⋊D47—41no—
704C2×Dic47—41no—
705C2×Dic47—41no—
706C2×Dic47—41no—
707C2×Dic47—41no—
708C2×Dic47C23×C411yescharacteristic
709C2×Dic47C23×C411yescharacteristic
710C2×Dic47C23×C411yescharacteristic
711C2×Dic47C23×C411yescharacteristic
712C2×Dic47C23×C411yescharacteristic
713C2×Dic47C23×C411yescharacteristic
714C2×Dic47C23×C411yescharacteristic
715C2×Dic47C23×C411yescharacteristic
716C2×Dic47C23×C411yescharacteristic
717C2×Dic47C23×C411yescharacteristic
718C2×Dic47C23×C411yescharacteristic
719C2×Dic47C23×C411yescharacteristic
720C2×Dic47C23×C411yescharacteristic
721C2×Dic47C23×C411yescharacteristic
722D188—41no—
723C4×D47—21no—
724C4×D47—21no—
725C4×D47—21no—
726C4×D47—21no—
727C4×D47—41no—
728C4×D47—41no—
729C4×D47—41no—
730C4×D47—41no—
731Dic94—41no—
732Dic94—41no—
733Dic94—41no—
734Dic94—41no—
735Dic94—41no—
736Dic94—41no—
737Dic94—41no—
738Dic94—41no—
739Dic94—41no—
740C8×C47—21no—
741C8×C47—21no—
742C8×C47—21no—
743C8×C47—21no—
744C8×C47—21no—
745C8×C47—21no—
746C8×C47—21no—
747C8×C47—21no—
748C47⋊C8—21no—
749C47⋊C8—21no—
750C47⋊C8—21no—
751C47⋊C8—21no—
752C47⋊C8—21no—
753C47⋊C8—21no—
754C47⋊C8—21no—
755C47⋊C82−1+412yes—
756#60346—471nomaximal, Sylow
757C22×C47—21no—
758C22×C47—21no—
759C22×C47—21no—
760C22×C47—21no—
761C22×C47—21no—
762C22×C47—21no—
763C22×C47—21no—
764C22×C47—21no—
765C22×C47—21no—
766C22×C47C24×C411yescharacteristic
767C2×D47—21no—
768C2×D47—21no—
769C2×D47—21no—
770C2×D47—21no—
771C2×D47—21no—
772C2×D47—21no—
773C4×C47—21no—
774C4×C47—21no—
775C4×C47—21no—
776C4×C47—21no—
777C4×C47—21no—
778C4×C47—21no—
779C4×C47—21no—
780C4×C47—21no—
781C4×C47—21no—
782C4×C47—21no—
783C4×C47—21no—
784C4×C47C2×2−1+411yescharacteristic
785C4×C47#58511yescharacteristic
786Dic47—21no—
787Dic47—21no—
788Dic47—21no—
789Dic47—21no—
790Dic47—21no—
791Dic47—21no—
792Dic47—21no—
793Dic47—21no—
794Dic47—21no—
795Dic47—21no—
796Dic47—21no—
797Dic47—21no—
798Dic47—21no—
799Dic47—21no—
800#3531—471no—
801#2995—471no—
802#2995—471no—
803#2994—471no—
804#2994—471no—
805#2993—471no—
806#2993—471no—
807#2993—471no—
808#2993D4711yescharacteristic, complemented
809#2992—471no—
810#2992—471no—
811#2987—471no—
812#2986—471no—
813#2986—471no—
814#2985—471no—
815#2985—471no—
816#2969—471no—
817#2969—471no—
818#2968—471no—
819#2968—471no—
820#2968—471no—
821#2968—471no—
822#2967—471no—
823#2967—471no—
824#2966—471no—
825#2966—471no—
826#2962—471no—
827#2962—471no—
828#2961—471no—
829#2961—471no—
830#2960—471no—
831C2×C47—41no—
832C2×C47—41no—
833C2×C47—41no—
834C2×C47C4×2−1+411yescharacteristic
835C2×C47#357311yescharacteristic
836C2×C47#357311yescharacteristic
837D47—41no—
838D47—41no—
839#564—471no—
840#563—471no—
841#563—471no—
842#563—471no—
843#563—471no—
844#563—471no—
845#563—471no—
846#563—471no—
847#563—471no—
848#563—471no—
849#563—471no—
850#562—471no—
851#562—471no—
852#562—471no—
853#562—471no—
854#562—471no—
855#533—471no—
856#533—471no—
857#533—471no—
858#533—471no—
859#533—471no—
860#529—471no—
861#529—471no—
862#529—471no—
863#529—471no—
864#529—471no—
865#529—471no—
866#529—471no—
867#529—471no—
868#529—471no—
869#529C2×D4711yescharacteristic
870#446—471no—
871#446—471no—
872#446—471no—
873#446—471no—
874#446—471no—
875#446—471no—
876#446—471no—
877#446—471no—
878#446—471no—
879#446—471no—
880#446—471no—
881#446—471no—
882#446—471no—
883#446—471no—
884#446—471no—
885#446—471no—
886#446—471no—
887#446—471no—
888#446—471no—
889#446—471no—
890#446—471no—
891#446—471no—
892#446—471no—
893#446—471no—
894#446—471no—
895#446—471no—
896#446—471no—
897#446—471no—
898#446—471no—
899#446C2×D4711yescharacteristic
900C8×Q8—471no—
901C8×Q8—471no—
902C8×Q8—471no—
903C8×Q8—471no—
904C8×Q8—471no—
905C8×Q8—471no—
906C8×Q8—471no—
907C8×Q8—471no—
908C8×Q8—471no—
909C8×Q8C2×D4711yescharacteristic
910#436—471no—
911#436—471no—
912#436—471no—
913#436—471no—
914#436—471no—
915#436—471no—
916#436—471no—
917#436C2×D4711yescharacteristic
918#436C2×D4711yescharacteristic
919#436C2×D4711yescharacteristic
920#435—471no—
921#435—471no—
922#435—471no—
923#435—471no—
924#435—471no—
925#435—471no—
926#435—471no—
927#435—471no—
928#435—471no—
929#435—471no—
930#435—471no—
931#435—471no—
932#435—471no—
933#435—471no—
934#435—471no—
935#435—471no—
936#435—471no—
937#435—471no—
938#435C2×D4711yescharacteristic
939#435C2×D4711yescharacteristic
940C8×D4—471no—
941C8×D4—471no—
942C8×D4—471no—
943C8×D4—471no—
944C8×D4—471no—
945C8×D4—471no—
946C8×D4—471no—
947C8×D4—471no—
948C8×D4—471no—
949C8×D4C2×D4711yescharacteristic
950#433—471no—
951#433—471no—
952#433—471no—
953#433—471no—
954#433—471no—
955#433—471no—
956#433—471no—
957#433—471no—
958#433—471no—
959#433—471no—
960#433—471no—
961#433—471no—
962#433—471no—
963#433—471no—
964#433—471no—
965#433—471no—
966#433—471no—
967#433—471no—
968#433C2×D4711yescharacteristic
969#433C2×D4711yescharacteristic
970#432—471no—
971#432—471no—
972#432—471no—
973#432—471no—
974#431—471no—
975#431—471no—
976#431—471no—
977#431—471no—
978#431—471no—
979#431C2×D4711yescharacteristic
980#424—471no—
981#424—471no—
982#424—471no—
983#424—471no—
984#424—471no—
985#424—471no—
986#424—471no—
987#424—471no—
988#424C2×D4711yescharacteristic
989#424C2×D4711yescharacteristic
990#423—471no—
991#423—471no—
992#423C2×D4711yescharacteristic
993C2×C4⋊C8—471no—
994C2×C4⋊C8—471no—
995#405—471no—
996#405—471no—
997#405—471no—
998#405—471no—
999#405—471no—
1000#405—471no—
1001#405—471no—
1002#405—471no—
1003#405—471no—
1004#405—471no—
1005C4×M16—471no—
1006C4×M16—471no—
1007C2×#97—471no—
1008C2×#97—471no—
1009C2×C4×C8—471no—
1010C47#6034611yescharacteristic, complemented, Sylow
1011C2×M16—471no—
1012C2×M16—471no—
1013C2×M16—471no—
1014C2×M16—471no—
1015C2×M16—471no—
1016C2×M16—471no—
1017C2×M16C22×D4711yescharacteristic
1018C2×M16C22×D4711yescharacteristic
1019C2×M16C22×D4711yescharacteristic
1020C2×M16C22×D4711yescharacteristic
1021C22×C8—471no—
1022C22×C8—471no—
1023C22×C8—471no—
1024C22×C8—471no—
1025C22×C8—471no—
1026C22×C8—471no—
1027C22×C8—471no—
1028C22×C8—471no—
1029C22×C8C22×D4711yescharacteristic
1030C22×C8C22×D4711yescharacteristic
1031C4⋊Q8—471no—
1032C4⋊Q8—471no—
1033C4⋊Q8—471no—
1034C4⋊Q8—471no—
1035C4⋊Q8—471no—
1036C4⋊Q8—471no—
1037C4⋊Q8—471no—
1038C4⋊Q8—471no—
1039C4⋊Q8—471no—
1040C4⋊Q8—471no—
1041#126—471no—
1042#126—471no—
1043#126—471no—
1044#126—471no—
1045#126—471no—
1046#126—471no—
1047#126—471no—
1048#126—471no—
1049#126—471no—
1050#126—471no—
1051#126—471no—
1052#126—471no—
1053#126—471no—
1054#126—471no—
1055#126—471no—
1056#126—471no—
1057#126—471no—
1058#126—471no—
1059#126C4×D4711yescharacteristic
1060#126C4×D4711yescharacteristic
1061#125—471no—
1062#125—471no—
1063#125—471no—
1064#125—471no—
1065#125—471no—
1066#125—471no—
1067#125—471no—
1068#125—471no—
1069#125—471no—
1070#125—471no—
1071#125—471no—
1072#125—471no—
1073#125—471no—
1074#125—471no—
1075#125—471no—
1076#125—471no—
1077#125—471no—
1078#125—471no—
1079#125—471no—
1080#125C4×D4711yescharacteristic
1081#124—471no—
1082#124—471no—
1083#124—471no—
1084#124—471no—
1085#124—471no—
1086#124—471no—
1087#124—471no—
1088#124—471no—
1089#124—471no—
1090#124C4×D4711yescharacteristic
1091#123—471no—
1092#123—471no—
1093#123—471no—
1094#123—471no—
1095#123—471no—
1096#123—471no—
1097#123—471no—
1098#123—471no—
1099#123—471no—
1100#123—471no—
1101#123—471no—
1102#123—471no—
1103#123—471no—
1104#123—471no—
1105#123—471no—
1106#123—471no—
1107#123—471no—
1108#123—471no—
1109#123C4×D4711yescharacteristic
1110#123C4×D4711yescharacteristic
1111C22⋊Q8—471no—
1112C22⋊Q8—471no—
1113C22⋊Q8—471no—
1114C22⋊Q8—471no—
1115C22⋊Q8—471no—
1116C22⋊Q8—471no—
1117C22⋊Q8—471no—
1118C22⋊Q8—471no—
1119C22⋊Q8—471no—
1120C22⋊Q8—471no—
1121C22⋊Q8—471no—
1122C22⋊Q8—471no—
1123C22⋊Q8—471no—
1124C22⋊Q8—471no—
1125C22⋊Q8—471no—
1126C22⋊Q8—471no—
1127C22⋊Q8—471no—
1128C22⋊Q8—471no—
1129C22⋊Q8—471no—
1130C22⋊Q8—471no—
1131C22⋊Q8—471no—
1132C22⋊Q8—471no—
1133C22⋊Q8—471no—
1134C22⋊Q8—471no—
1135C22⋊Q8—471no—
1136C22⋊Q8—471no—
1137C22⋊Q8—471no—
1138C22⋊Q8—471no—
1139C22⋊Q8—471no—
1140C22⋊Q8C4×D4711yescharacteristic
1141#121—471no—
1142#121—471no—
1143#121—471no—
1144#121—471no—
1145#121—471no—
1146#121—471no—
1147#121—471no—
1148#121—471no—
1149#121—471no—
1150#121C4×D4711yescharacteristic
1151C4×Q8—471no—
1152C4×Q8—471no—
1153C4×Q8—471no—
1154C4×Q8—471no—
1155C4×Q8—471no—
1156C4×Q8—471no—
1157C4×Q8—471no—
1158C4×Q8—471no—
1159C4×Q8—471no—
1160C4×Q8C22×D4711yescharacteristic
1161C4×D4—471no—
1162C4×D4—471no—
1163C4×D4—471no—
1164C4×D4—471no—
1165C4×D4—471no—
1166C4×D4—471no—
1167C4×D4—471no—
1168C4×D4C22×D4711yescharacteristic
1169C4×D4C22×D4711yescharacteristic
1170C4×D4C22×D4711yescharacteristic
1171#117—471no—
1172#117—471no—
1173#117—471no—
1174#117—471no—
1175#117—471no—
1176#117—471no—
1177#117—471no—
1178#117—471no—
1179#117C22×D4711yescharacteristic
1180#117C22×D4711yescharacteristic
1181C2×C42—471no—
1182C2×C42—471no—
1183C2×C42—471no—
1184C2×C42—471no—
1185C2×C42C22×D4711yescharacteristic
1186C4⋊C8—471no—
1187C4⋊C8—471no—
1188C4⋊C8—471no—
1189C4⋊C8—471no—
1190C4⋊C8—471no—
1191C4⋊C8—471no—
1192C4⋊C8—471no—
1193C4⋊C8—471no—
1194C4⋊C8—471no—
1195C4⋊C8—471no—
1196C4⋊C8—471no—
1197C4⋊C8—471no—
1198C4⋊C8—471no—
1199C4⋊C8—471no—
1200C4⋊C8—471no—
1201C4⋊C8—471no—
1202C4⋊C8—471no—
1203C4⋊C8—471no—
1204C4⋊C8—471no—
1205C4⋊C8—471no—
1206C4⋊C8—471no—
1207C4⋊C8—471no—
1208C4⋊C8—471no—
1209C4⋊C8—471no—
1210C4⋊C8—471no—
1211C4⋊C8—471no—
1212C4⋊C8—471no—
1213C4⋊C8—471no—
1214C4⋊C8—471no—
1215C4⋊C8—471no—
1216C4⋊C8C22×D4711yescharacteristic
1217C4⋊C8C22×D4711yescharacteristic
1218C4⋊C8C22×D4711yescharacteristic
1219C4⋊C8C22×D4711yescharacteristic
1220C4⋊C8C22×D4711yescharacteristic
1221C4⋊C8C22×D4711yescharacteristic
1222C4⋊C8C22×D4711yescharacteristic
1223C4⋊C8C22×D4711yescharacteristic
1224C4⋊C8C22×D4711yescharacteristic
1225C4⋊C8C22×D4711yescharacteristic
1226C22⋊C8—471no—
1227C22⋊C8—471no—
1228C22⋊C8—471no—
1229C22⋊C8—471no—
1230C22⋊C8—471no—
1231C22⋊C8—471no—
1232C22⋊C8—471no—
1233C22⋊C8—471no—
1234C22⋊C8—471no—
1235C22⋊C8—471no—
1236C22⋊C8—471no—
1237C22⋊C8—471no—
1238C22⋊C8—471no—
1239C22⋊C8—471no—
1240C22⋊C8C22×D4711yescharacteristic
1241C22⋊C8C22×D4711yescharacteristic
1242C22⋊C8C22×D4711yescharacteristic
1243C22⋊C8C22×D4711yescharacteristic
1244C22⋊C8C22×D4711yescharacteristic
1245C22⋊C8C22×D4711yescharacteristic
1246#97—471no—
1247#97—471no—
1248#97—471no—
1249#97—471no—
1250#97—471no—
1251#97—471no—
1252#97—471no—
1253#97—471no—
1254#97—471no—
1255#97—471no—
1256#97—471no—
1257#97—471no—
1258#97—471no—
1259#97—471no—
1260#97—471no—
1261#97—471no—
1262#97—471no—
1263#97—471no—
1264#97C22×D4711yescharacteristic
1265#97C22×D4711yescharacteristic
1266C4×C8—471no—
1267C4×C8—471no—
1268C4×C8—471no—
1269C4×C8—471no—
1270C4×C8—471no—
1271C4×C8—471no—
1272C4×C8—471no—
1273C4×C8—471no—
1274C4×C8—471no—
1275C4×C8—471no—
1276C4×C8—471no—
1277C4×C8—471no—
1278C4×C8—471no—
1279C4×C8—471no—
1280C4×C8—471no—
1281C4×C8—471no—
1282C4×C8C22×D4711yescharacteristic
1283C4×C8C22×D4711yescharacteristic
1284C4×C8C22×D4711yescharacteristic
1285C4×C8C22×D4711yescharacteristic
1286C2×Q8—471no—
1287C2×Q8—471no—
1288C2×Q8—471no—
1289C2×Q8—471no—
1290C2×Q8—471no—
1291C2×Q8—471no—
1292C2×Q8—471no—
1293C2×Q8—471no—
1294C2×Q8—471no—
1295C2×Q8C2×C4×D4711yescharacteristic
1296C2×D4—471no—
1297C2×D4—471no—
1298C2×D4—471no—
1299C2×D4—471no—
1300C2×D4—471no—
1301C2×D4—471no—
1302C2×D4—471no—
1303C2×D4C2×C4×D4711yescharacteristic
1304C2×D4C2×C4×D4711yescharacteristic
1305C2×D4C2×C4×D4711yescharacteristic
1306C22×C4—471no—
1307C22×C4—471no—
1308C22×C4—471no—
1309C22×C4—471no—
1310C22×C4—471no—
1311C22×C4—471no—
1312C22×C4—471no—
1313C22×C4—471no—
1314C22×C4—471no—
1315C22×C4—471no—
1316C22×C4C2×C4×D4711yescharacteristic
1317C22×C4C2×C4×D4711yescharacteristic
1318C22×C4C23×D4711yescharacteristic
1319C22×C4C23×D4711yescharacteristic
1320C22×C4C23×D4711yescharacteristic
1321M16—41no—
1322M16—41no—
1323M16—41no—
1324M16—41no—
1325M16—942no—
1326M16—942no—
1327M16—1881no—
1328M16—1881no—
1329M16—1881no—
1330M16—1881no—
1331C2×C8—41no—
1332C2×C8—41no—
1333C2×C8—471no—
1334C2×C8—471no—
1335C2×C8—471no—
1336C2×C8—471no—
1337C2×C8—471no—
1338C2×C8—471no—
1339C2×C8—471no—
1340C2×C8—471no—
1341C2×C8—942no—
1342C2×C8—942no—
1343C2×C8—942no—
1344C2×C8—1881no—
1345C2×C8—1881no—
1346C2×C8—1881no—
1347C2×C8—1881no—
1348C2×C8—1881no—
1349C2×C8C23×D4711yescharacteristic
1350C2×C8C23×D4711yescharacteristic
1351C2×C8C23×D4711yescharacteristic
1352C2×C8C23×D4711yescharacteristic
1353C2×C8C23×D4711yescharacteristic
1354C2×C8C23×D4711yescharacteristic
1355C2×C8C23×D4711yescharacteristic
1356C2×C8C23×D4711yescharacteristic
1357C4⋊C4—471no—
1358C4⋊C4—471no—
1359C4⋊C4—471no—
1360C4⋊C4—471no—
1361C4⋊C4—471no—
1362C4⋊C4—471no—
1363C4⋊C4—471no—
1364C4⋊C4—471no—
1365C4⋊C4—471no—
1366C4⋊C4—471no—
1367C4⋊C4—471no—
1368C4⋊C4—471no—
1369C4⋊C4—471no—
1370C4⋊C4—471no—
1371C4⋊C4—471no—
1372C4⋊C4—471no—
1373C4⋊C4—471no—
1374C4⋊C4—471no—
1375C4⋊C4—471no—
1376C4⋊C4—471no—
1377C4⋊C4—471no—
1378C4⋊C4—471no—
1379C4⋊C4—471no—
1380C4⋊C4—471no—
1381C4⋊C4—471no—
1382C4⋊C4—471no—
1383C4⋊C4—471no—
1384C4⋊C4—471no—
1385C4⋊C4—471no—
1386C4⋊C4—471no—
1387C4⋊C4—471no—
1388C4⋊C4—471no—
1389C4⋊C4—471no—
1390C4⋊C4—471no—
1391C4⋊C4—471no—
1392C4⋊C4—471no—
1393C4⋊C4—471no—
1394C4⋊C4—471no—
1395C4⋊C4—471no—
1396C4⋊C4—471no—
1397C4⋊C4—471no—
1398C4⋊C4—471no—
1399C4⋊C4—471no—
1400C4⋊C4—471no—
1401C4⋊C4—471no—
1402C4⋊C4—471no—
1403C4⋊C4—471no—
1404C4⋊C4—471no—
1405C4⋊C4—471no—
1406C4⋊C4—471no—
1407C4⋊C4C2×C4×D4711yescharacteristic
1408C4⋊C4C2×C4×D4711yescharacteristic
1409C4⋊C4C2×C4×D4711yescharacteristic
1410C4⋊C4C2×C4×D4711yescharacteristic
1411C4⋊C4C2×C4×D4711yescharacteristic
1412C4⋊C4C2×C4×D4711yescharacteristic
1413C4⋊C4C2×C4×D4711yescharacteristic
1414C4⋊C4C2×C4×D4711yescharacteristic
1415C4⋊C4C2×C4×D4711yescharacteristic
1416C4⋊C4C2×C4×D4711yescharacteristic
1417C22⋊C4—471no—
1418C22⋊C4—471no—
1419C22⋊C4—471no—
1420C22⋊C4—471no—
1421C22⋊C4—471no—
1422C22⋊C4—471no—
1423C22⋊C4—471no—
1424C22⋊C4—471no—
1425C22⋊C4—471no—
1426C22⋊C4—471no—
1427C22⋊C4—471no—
1428C22⋊C4—471no—
1429C22⋊C4—471no—
1430C22⋊C4—471no—
1431C22⋊C4—471no—
1432C22⋊C4—471no—
1433C22⋊C4—471no—
1434C22⋊C4—471no—
1435C22⋊C4—471no—
1436C22⋊C4—471no—
1437C22⋊C4—471no—
1438C22⋊C4—471no—
1439C22⋊C4—471no—
1440C22⋊C4—471no—
1441C22⋊C4—471no—
1442C22⋊C4—471no—
1443C22⋊C4—471no—
1444C22⋊C4—471no—
1445C22⋊C4—471no—
1446C22⋊C4—471no—
1447C22⋊C4C2×C4×D4711yescharacteristic
1448C22⋊C4C2×C4×D4711yescharacteristic
1449C22⋊C4C2×C4×D4711yescharacteristic
1450C22⋊C4C2×C4×D4711yescharacteristic
1451C22⋊C4C2×C4×D4711yescharacteristic
1452C22⋊C4C2×C4×D4711yescharacteristic
1453C22⋊C4C2×C4×D4711yescharacteristic
1454C22⋊C4C2×C4×D4711yescharacteristic
1455C22⋊C4C2×C4×D4711yescharacteristic
1456C22⋊C4C2×C4×D4711yescharacteristic
1457C42—471no—
1458C42—471no—
1459C42—471no—
1460C42—471no—
1461C42—471no—
1462C42—471no—
1463C42—471no—
1464C42—471no—
1465C42—471no—
1466C42—471no—
1467C42—471no—
1468C42—471no—
1469C42—471no—
1470C42—471no—
1471C42C2×C4×D4711yescharacteristic
1472C42C2×C4×D4711yescharacteristic
1473C42C23×D4711yescharacteristic
1474C42C23×D4711yescharacteristic
1475C42C23×D4711yescharacteristic
1476C42C23×D4711yescharacteristic
1477C23—471no—
1478C23—471no—
1479C23C22×C4×D4711yescharacteristic
1480C23C22×C4×D4711yescharacteristic
1481C23C22×C4×D4711yescharacteristic
1482Q8—41no—
1483Q8—1881no—
1484Q8—1881no—
1485Q8—1881no—
1486Q8—1881no—
1487Q8—1881no—
1488Q8—1881no—
1489Q8—1881no—
1490Q8—1881no—
1491Q8—1881no—
1492D4—41no—
1493D4—41no—
1494D4—41no—
1495D4—1881no—
1496D4—1881no—
1497D4—1881no—
1498D4—1881no—
1499D4—1881no—
1500D4—1881no—
1501D4—1881no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—471no—
1511C2×C4—471no—
1512C2×C4—471no—
1513C2×C4—471no—
1514C2×C4—471no—
1515C2×C4—471no—
1516C2×C4—471no—
1517C2×C4—471no—
1518C2×C4—471no—
1519C2×C4—471no—
1520C2×C4—471no—
1521C2×C4—471no—
1522C2×C4—471no—
1523C2×C4—471no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—1881no—
1529C2×C4—1881no—
1530C2×C4—1881no—
1531C2×C4—1881no—
1532C2×C4—1881no—
1533C2×C4—1881no—
1534C2×C4—1881no—
1535C2×C4—1881no—
1536C2×C4C22×C4×D4711yescharacteristic
1537C2×C4C22×C4×D4711yescharacteristic
1538C2×C4C22×C4×D4711yescharacteristic
1539C2×C4C22×C4×D4711yescharacteristic
1540C2×C4C22×C4×D4711yescharacteristic
1541C2×C4C22×C4×D4711yescharacteristic
1542C2×C4C22×C4×D4711yescharacteristic
1543C2×C4C22×C4×D4711yescharacteristic
1544C2×C4C22×C4×D4711yescharacteristic
1545C2×C4C22×C4×D4711yescharacteristic
1546C2×C4C22×C4×D4711yescharacteristic
1547C2×C4C24×D4711yescharacteristic
1548C8—21no—
1549C8—21no—
1550C8—21no—
1551C8—21no—
1552C8—21no—
1553C8—21no—
1554C8—21no—
1555C8—21no—
1556C8—472no—
1557C8—941no—
1558C8—941no—
1559C8—941no—
1560C8—941no—
1561C8—941no—
1562C8—941no—
1563C8—941no—
1564C22—21no—
1565C22—21no—
1566C22—21no—
1567C22—21no—
1568C22—21no—
1569C22—21no—
1570C22—21no—
1571C22—21no—
1572C22—21no—
1573C22—941no—
1574C22—941no—
1575C22—941no—
1576C22—941no—
1577C22—941no—
1578C22—941no—
1579C22C23×C4×D4711yescharacteristic
1580C4—21no—
1581C4—21no—
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—21no—
1589C4—21no—
1590C4—21no—
1591C4—941no—
1592C4—941no—
1593C4—941no—
1594C4—941no—
1595C4—941no—
1596C4—941no—
1597C4—941no—
1598C4—941no—
1599C4—941no—
1600C4—941no—
1601C4—941no—
1602C4—941no—
1603C4—941no—
1604C4—941no—
1605C42−1+4×D4711yescharacteristic
1606C4#1568995811yescharacteristic
1607C2—41no—
1608C2—41no—
1609C2—41no—
1610C2—1881no—
1611C2—1881no—
1612C2#2025659911yescharacteristic
1613C2#2025809911yescharacteristic
1614C2#2025810111yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D47
commutator, socleC22×C47C24×C4
FittingC47×#2993C2
prime radical#20257533C2
cosocleC2×C4×C47C25
hypercenter#2993D47
hypocenterC47#60346
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ #2993

Complements

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

NH ≅ G/Ntype
2. #20252556C2semidirect
3. #20252554C2semidirect
4. #20252549C2semidirect
5. #20252545C2semidirect
6. #20252534C2semidirect
7. #20252534C2semidirect
8. #20252533C2semidirect
9. #20252528C2semidirect
10. #20252525C2semidirect
11. #20252491C2semidirect
12. #20252489C2semidirect
13. #20252487C2semidirect
14. #20252480C2semidirect
15. #20252479C2semidirect
16. #20252390C2semidirect
17. #20252387C2semidirect
18. #20252384C2semidirect
19. #20252383C2semidirect
20. #20252377C2semidirect
21. #20252376C2semidirect
22. #20252374C2semidirect
23. #20252370C2semidirect
24. #20252366C2semidirect
25. #20252361C2semidirect
26. #20252334C2semidirect
27. #20252333C2semidirect
28. #20252327C2semidirect
29. #20252325C2semidirect
30. #20252317C2semidirect
31. C47×#2993C2semidirect
808. #2993D47semidirect
1010. C47#60346semidirect

Maximal subgroups

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

subgroupindex
#202575332
#202525562
#202525542
#202525492
#202525452
#202525342
#202525332
#202525282
#202525252
#202524912
#202524892
#202524872
#202524802
#202524792
#202523902
#202523872
#202523842
#202523832
#202523772
#202523762
#202523742
#202523702
#202523662
#202523612
#202523342
#202523332
#202523272
#202523252
#202523172
C47×#29932
#6034647