Finite Group Databasebeta

← #27095112

Subgroups — #27095112

Order 12032.

1898 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20256947C211yesmaximal, characteristic, complemented
2#553×D47C211yesmaximal, characteristic, complemented
3#20255988C211yesmaximal, characteristic, complemented
4#20255950C211yesmaximal, characteristic, complemented
5#20255942C211yesmaximal, characteristic, complemented
6#20255934C211yesmaximal, characteristic, complemented
7#20255926C211yesmaximal, characteristic, complemented
8#20255891C211yesmaximal, characteristic, complemented
9#20255883C211yesmaximal, characteristic, complemented
10#20255876C211yesmaximal, characteristic, complemented
11#20255874C211yesmaximal, characteristic, complemented
12#20255861C211yesmaximal, characteristic, complemented
13#20255853C211yesmaximal, characteristic, complemented
14#20255792C211yesmaximal, characteristic, complemented
15#20255787C211yesmaximal, characteristic, complemented
16#20255774C211yesmaximal, characteristic, complemented
17#20255766C211yesmaximal, characteristic, complemented
18#20253936C211yesmaximal, characteristic, complemented
19#20253327C211yesmaximal, characteristic, complemented
20#20253323C211yesmaximal, characteristic, complemented
21#20253316C211yesmaximal, characteristic, complemented
22#20253307C211yesmaximal, characteristic, complemented
23#20253205C211yesmaximal, characteristic, complemented
24#20253183C211yesmaximal, characteristic, complemented
25#20253006C211yesmaximal, characteristic, complemented
26#20253006C211yesmaximal, characteristic, complemented
27C4×#13094048C211yesmaximal, characteristic, complemented
28#20252124C211yesmaximal, characteristic, complemented
29#20251975C211yesmaximal, characteristic, complemented
30#428×D47C211yesmaximal, characteristic, complemented
31C47×#3355C211yesmaximal, characteristic, complemented
32C2×#13094048C2211yescharacteristic
33C2×M16×D47C2211yescharacteristic
34C2×M16×D47C2211yescharacteristic
35#15689841C2211yescharacteristic, complemented
36#15689837C2211yescharacteristic, complemented
37#15689828C2211yescharacteristic, complemented
38#15689826C2211yescharacteristic
39#15689825C2211yescharacteristic
40#15689824—21no—
41#15689823C2211yescharacteristic
42#15689823C2211yescharacteristic, complemented
43#15689822—21no—
44#15689821C2211yescharacteristic
45#15689820C2211yescharacteristic
46#15689819C2211yescharacteristic
47#15689818—21no—
48#15689817C2211yescharacteristic
49#15689816—21no—
50#15689813C2211yescharacteristic, complemented
51#15689811C2211yescharacteristic, complemented
52#15689809—21no—
53#15689802—21no—
54#15689801—21no—
55#15689773C2211yescharacteristic, complemented
56#15689762—21no—
57#15689679C2211yescharacteristic
58#15689656—21no—
59#15689654—21no—
60#15689650—21no—
61#126×D47—21no—
62#125×D47C2211yescharacteristic
63#15689633C2211yescharacteristic
64#15689633C2211yescharacteristic
65#123×D47—21no—
66#121×D47—21no—
67#121×D47C2211yescharacteristic
68#121×D47C2211yescharacteristic
69C4×#10625352—21no—
70C4×#10625352C2211yescharacteristic
71C4×D4×D47—21no—
72C4×D4×D47C2211yescharacteristic
73C4×D4×D47C2211yescharacteristic
74C2×#13093982C2211yescharacteristic
75#117×D47C2211yescharacteristic
76#117×D47C2211yescharacteristic
77C2×C4⋊C4×D47C2211yescharacteristic
78#15689531C2211yescharacteristic, complemented
79#15689531C2211yescharacteristic, complemented
80#15689530C2211yescharacteristic, complemented
81#15689530C2211yescharacteristic, complemented
82#15689525C2211yescharacteristic, complemented
83#15689522C2211yescharacteristic, complemented
84#15689522C2211yescharacteristic, complemented
85#15689467C2211yescharacteristic, complemented
86#15689466C2211yescharacteristic, complemented
87#15689465C2211yescharacteristic, complemented
88#15689464C2211yescharacteristic, complemented
89#15689460C2211yescharacteristic, complemented
90#15689460C2211yescharacteristic, complemented
91#15689454C2211yescharacteristic, complemented
92#15689453C2211yescharacteristic, complemented
93#15689450C2211yescharacteristic, complemented
94#15689450C2211yescharacteristic, complemented
95#15689448C2211yescharacteristic, complemented
96#15689447C2211yescharacteristic, complemented
97#15689446C2211yescharacteristic, complemented
98#15689446C2211yescharacteristic, complemented
99#15689446C2211yescharacteristic, complemented
100#15689445C2211yescharacteristic, complemented
101#15689444C2211yescharacteristic, complemented
102#15689444C2211yescharacteristic, complemented
103#15689443C2211yescharacteristic, complemented
104#15689442C2211yescharacteristic, complemented
105#15689440C2211yescharacteristic, complemented
106#15689440C2211yescharacteristic, complemented
107#15689440C2211yescharacteristic, complemented
108#15689439C2211yescharacteristic, complemented
109#15689438C2211yescharacteristic, complemented
110#15689436C2211yescharacteristic, complemented
111#15689435C2211yescharacteristic, complemented
112#15689434C2211yescharacteristic, complemented
113#15689433C2211yescharacteristic, complemented
114#15689431C2211yescharacteristic, complemented
115#15689429C2211yescharacteristic, complemented
116#15689427C2211yescharacteristic, complemented
117#15689425C2211yescharacteristic, complemented
118#15689424C2211yescharacteristic, complemented
119#15689423C2211yescharacteristic, complemented
120#15689423C2211yescharacteristic, complemented
121#15689421C2211yescharacteristic, complemented
122#15689420C2211yescharacteristic, complemented
123#15689412C2211yescharacteristic, complemented
124#15689411C2211yescharacteristic, complemented
125#15689402C2211yescharacteristic, complemented
126#15689401C2211yescharacteristic, complemented
127#15689374C2211yescharacteristic, complemented
128#15689374C2211yescharacteristic, complemented
129#15689369C2211yescharacteristic, complemented
130#15689369C2211yescharacteristic, complemented
131#15689367C2211yescharacteristic, complemented
132#15689367C2211yescharacteristic, complemented
133#15689358C2211yescharacteristic, complemented
134#15689358C2211yescharacteristic, complemented
135#15689356C2211yescharacteristic, complemented
136#15689356C2211yescharacteristic, complemented
137#15689353C2211yescharacteristic, complemented
138#15689353C2211yescharacteristic, complemented
139#15689351C2211yescharacteristic, complemented
140#15689351C2211yescharacteristic, complemented
141#15689235C2211yescharacteristic, complemented
142#15689232C2211yescharacteristic, complemented
143#15689222C2211yescharacteristic, complemented
144#15689220C2211yescharacteristic, complemented
145C4×#10625325C2211yescharacteristic, complemented
146C4×#10625335C2211yescharacteristic, complemented
147C4×#10625334C2211yescharacteristic, complemented
148#15689201C2211yescharacteristic, complemented
149#15689197C2211yescharacteristic, complemented
150#15689197C2211yescharacteristic, complemented
151#15689192C2211yescharacteristic, complemented
152#15689192C2211yescharacteristic, complemented
153C8×D188C2211yescharacteristic, complemented
154#15689188C2211yescharacteristic, complemented
155#15689166C2211yescharacteristic, complemented
156#15689166C2211yescharacteristic, complemented
157#15689165C2211yescharacteristic, complemented
158#15689165C2211yescharacteristic, complemented
159#15689164C2211yescharacteristic
160#15689164C2211yescharacteristic
161#15689164C2211yescharacteristic
162#15689164C2211yescharacteristic
163#15689164C2211yescharacteristic
164#15689163C2211yescharacteristic, complemented
165#15689163C2211yescharacteristic, complemented
166#15689162C2211yescharacteristic
167#15689162C2211yescharacteristic
168#15689162C2211yescharacteristic
169#15689162C2211yescharacteristic
170#15689160C2211yescharacteristic, complemented
171#15689160C2211yescharacteristic, complemented
172#15689158C2211yescharacteristic, complemented
173#15689158C2211yescharacteristic, complemented
174#107×D47C2211yescharacteristic, complemented
175#107×D47C2211yescharacteristic, complemented
176#106×D47C2211yescharacteristic, complemented
177#106×D47C2211yescharacteristic, complemented
178#15689145C2211yescharacteristic
179#15689126C2211yescharacteristic
180#15689126C2211yescharacteristic
181#15689126C2211yescharacteristic
182#15689121C2211yescharacteristic
183#15689121C2211yescharacteristic
184#15689121C2211yescharacteristic
185#15689085C2211yescharacteristic
186#15689085C2211yescharacteristic
187C4×#10625324C2211yescharacteristic
188C47×#553C2211yescharacteristic
189C47×#553C2211yescharacteristic, complemented
190C47×#499C2211yescharacteristic, complemented
191C47×#482C2211yescharacteristic, complemented
192C47×#482C2211yescharacteristic, complemented
193C47×#480C2211yescharacteristic, complemented
194C47×#480C2211yescharacteristic, complemented
195C47×#478C2211yescharacteristic, complemented
196C47×#478C2211yescharacteristic, complemented
197C47×#469C2211yescharacteristic, complemented
198C47×#469C2211yescharacteristic, complemented
199C4×D8×C47C2211yescharacteristic, complemented
200C47×#436C2211yescharacteristic, complemented
201C47×#428C2211yescharacteristic, complemented
202C47×#428C2211yescharacteristic, complemented
203C2×#10625352—21no—
204C2×#10625352C2311yescharacteristic
205C2×D4×D47—21no—
206C2×D4×D47—21no—
207C2×D4×D47D411yescharacteristic
208C2×D4×D47C2311yescharacteristic
209C22×C4×D47—21no—
210C22×C4×D47—21no—
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213#13094048—24no—
214C2×#10625325C2311yescharacteristic
215C2×#10625335C2311yescharacteristic
216C2×#10625334C2311yescharacteristic
217C2×#10625329C2311yescharacteristic
218C2×#10625329C2311yescharacteristic
219C2×#10625324C2311yescharacteristic
220C2×#10625324C2311yescharacteristic
221C2×#10625324C2311yescharacteristic
222C2×#10625324C2311yescharacteristic
223M16×D47—24no—
224M16×D47—24no—
225C2×C8×D47C2311yescharacteristic
226C2×C8×D47C2311yescharacteristic
227C2×C8×D47C2311yescharacteristic
228C2×C8×D47C2311yescharacteristic
229#13094023C2311yescharacteristic
230#13094023C2311yescharacteristic
231#13094019—21no—
232#13094019—21no—
233#13094019—21no—
234#13094019—21no—
235#13094018—21no—
236#13094018—21no—
237#13094017—21no—
238#13094017—21no—
239#13094017—21no—
240#13094017—21no—
241#13094017—21no—
242#13094017—21no—
243#13094016C2311yescharacteristic
244#13094016C2311yescharacteristic
245#13094015—21no—
246#13094015C2311yescharacteristic
247#13094015C2311yescharacteristic
248#13094014—21no—
249#13094014—21no—
250#13094014—21no—
251#13094014—21no—
252#13094011—21no—
253#13094010—21no—
254#13094010—21no—
255#13094009—21no—
256#13094009—21no—
257#13094009—21no—
258#13094008—21no—
259#13094007—21no—
260#13094007—21no—
261#13094006—21no—
262#13094006—21no—
263#13094006—21no—
264#13094006—21no—
265#13094006—21no—
266#13094005—21no—
267#13094005—21no—
268#13094005—21no—
269#13094004C2311yescharacteristic
270#13094004C2311yescharacteristic
271#13094003—21no—
272#13094003C2311yescharacteristic
273#13094003C2311yescharacteristic
274#13094002—21no—
275#13094002—21no—
276#13094002—21no—
277#13094001—21no—
278#13093999—21no—
279#13093999C2311yescharacteristic
280#13093999C2311yescharacteristic
281#13093998—21no—
282#13093998C2311yescharacteristic
283#13093998C2311yescharacteristic
284#13093997—21no—
285#13093997—21no—
286#13093997—21no—
287#13093997—21no—
288#13093997—21no—
289#13093996—21no—
290#13093996—21no—
291#13093996—21no—
292#13093996—21no—
293#13093996—21no—
294#13093995—21no—
295#13093995C2311yescharacteristic
296#13093995C2311yescharacteristic
297#13093995C2311yescharacteristic
298#13093995C2311yescharacteristic
299#13093992—21no—
300#13093992—21no—
301C4×Dic94—21no—
302C4×Dic94C2311yescharacteristic
303#13093989—21no—
304#13093989—21no—
305#13093989C2311yescharacteristic
306C4×D188—21no—
307C4×D188C2311yescharacteristic
308C4×D188C2311yescharacteristic
309D4×Dic47—21no—
310D4×Dic47—21no—
311D4×Dic47—21no—
312D4×Dic47D411yescharacteristic
313D4×Dic47C2311yescharacteristic
314D4×Dic47C2311yescharacteristic
315#13093986—21no—
316#13093986D411yescharacteristic
317#13093986C2311yescharacteristic
318C4×C22⋊D47—21no—
319C4×C22⋊D47—21no—
320C4×C22⋊D47—21no—
321C4×C22⋊D47—21no—
322C4×C22⋊D47—21no—
323C4×C22⋊D47—21no—
324C4×C22⋊D47C2311yescharacteristic
325C4×C22⋊D47C2311yescharacteristic
326(C22⋊D47)⋊C4—21no—
327(C22⋊D47)⋊C4—21no—
328(C22⋊D47)⋊C4—21no—
329(C22⋊D47)⋊C4—21no—
330(C22⋊D47)⋊C4—21no—
331(C22⋊D47)⋊C4—21no—
332(C22⋊D47)⋊C4D411yescharacteristic
333(C22⋊D47)⋊C4D411yescharacteristic
334#13093983C2311yescharacteristic
335#13093983C2311yescharacteristic
336#13093982—21no—
337#13093982—21no—
338#13093982—21no—
339#13093982C2311yescharacteristic
340#13093982C2311yescharacteristic
341#13093982C2311yescharacteristic
342#13093982C2311yescharacteristic
343#13093982C2311yescharacteristic
344#13093982C2311yescharacteristic
345#13093982C2311yescharacteristic
346#13093981—21no—
347#13093981—21no—
348#13093980—21no—
349#13093980—21no—
350#13093980—21no—
351#13093980—21no—
352#13093980—21no—
353C2×C4⋊Dic47C2311yescharacteristic
354C2×C4⋊Dic47C2311yescharacteristic
355C2×Dic47⋊C4—21no—
356C4⋊C4×D47—21no—
357C4⋊C4×D47—21no—
358C4⋊C4×D47—21no—
359C4⋊C4×D47—21no—
360C4⋊C4×D47D411yescharacteristic
361C4⋊C4×D47C2311yescharacteristic
362C4⋊C4×D47C2311yescharacteristic
363C4⋊C4×D47C2311yescharacteristic
364C4⋊C4×D47C2311yescharacteristic
365C4⋊C4×D47C2311yescharacteristic
366C4⋊C4×D47C2311yescharacteristic
367C4⋊C4×D47C2311yescharacteristic
368C2×(C2×D47)⋊C4—21no—
369C22⋊C4×D47—21no—
370C22⋊C4×D47—21no—
371C22⋊C4×D47—21no—
372C22⋊C4×D47—21no—
373C22⋊C4×D47—21no—
374C22⋊C4×D47D411yescharacteristic
375C22⋊C4×D47D411yescharacteristic
376C2×C4×Dic47—21no—
377C2×C4×Dic47—21no—
378C42×D47—21no—
379C42×D47—21no—
380C42×D47C2311yescharacteristic
381#13093958C2311yescharacteristic
382#13093958C2311yescharacteristic
383#13093958C2311yescharacteristic
384#13093958C2311yescharacteristic
385#13093957C2311yescharacteristic
386#13093957C2311yescharacteristic
387#13093957C2311yescharacteristic
388#13093957C2311yescharacteristic
389#13093957C2311yescharacteristic
390#13093957C2311yescharacteristic
391#13093957C2311yescharacteristic
392#13093957C2311yescharacteristic
393#13093957C2311yescharacteristic
394#13093956C2311yescharacteristic
395#13093956C2311yescharacteristic
396#13093956C2311yescharacteristic
397#13093956C2311yescharacteristic
398#13093956C2311yescharacteristic
399#13093955C2311yescharacteristic
400#13093955C2311yescharacteristic
401#13093955C2311yescharacteristic
402#13093955C2311yescharacteristic
403#13093955C2311yescharacteristic
404#13093955C2311yescharacteristic
405#13093955C2311yescharacteristic
406#13093955C2311yescharacteristic
407#13093955C2311yescharacteristic
408C4⋊(C47⋊C8)C2311yescharacteristic
409Dic47⋊C8C2311yescharacteristic
410Dic47⋊C8C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093949C2311yescharacteristic
414#13093947C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093945C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093944C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429C22⋊(C47⋊C8)C2311yescharacteristic
430C22⋊(C47⋊C8)C2311yescharacteristic
431(C2×D47)⋊C8C2311yescharacteristic
432(C2×D47)⋊C8C2311yescharacteristic
433(C2×D47)⋊C8C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435#13093934C2311yescharacteristic
436#13093934C2311yescharacteristic
437C4×C47⋊C8C2311yescharacteristic
438C2×D8×C47C2311yescharacteristic
439C2×M16×C47C2311yescharacteristic
440C2×M16×C47C2311yescharacteristic
441#126×C47—21no—
442#126×C47—21no—
443#125×C47C2311yescharacteristic
444#125×C47C2311yescharacteristic
445#123×C47—21no—
446#123×C47—21no—
447#121×C47—21no—
448#121×C47—21no—
449#121×C47C2311yescharacteristic
450#121×C47C2311yescharacteristic
451#121×C47C2311yescharacteristic
452#121×C47C2311yescharacteristic
453C4×D4×C47—21no—
454C4×D4×C47—21no—
455C4×D4×C47C2311yescharacteristic
456C4×D4×C47C2311yescharacteristic
457C4×D4×C47C2311yescharacteristic
458#117×C47C2311yescharacteristic
459#117×C47C2311yescharacteristic
460C2×C4⋊C4×C47C2311yescharacteristic
461C2×C4⋊C4×C47C2311yescharacteristic
462#107×C47C2311yescharacteristic
463#107×C47C2311yescharacteristic
464#107×C47C2311yescharacteristic
465#107×C47C2311yescharacteristic
466#107×C47C2311yescharacteristic
467#106×C47C2311yescharacteristic
468#106×C47C2311yescharacteristic
469#106×C47C2311yescharacteristic
470#106×C47C2311yescharacteristic
471C4⋊C8×C47C2311yescharacteristic
472#102×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#102×C47C2311yescharacteristic
476#102×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478C22⋊C8×C47C2311yescharacteristic
479C22⋊C8×C47C2311yescharacteristic
480C4×C8×C47C2311yescharacteristic
481C23×D47—21no—
482C23×D47C2×D411yescharacteristic
483C23×D47C2×D411yescharacteristic
484C2×D4×C47—21no—
485C2×D4×C47—21no—
486C2×D4×C47—21no—
487C2×D4×C47—21no—
488C2×D4×C47C2×D411yescharacteristic
489C2×D4×C47C2411yescharacteristic
490C2×D4×C47C2411yescharacteristic
491C22×C4×C47—21no—
492C22×C4×C47—21no—
493C22×C4×C47—21no—
494C22×C4×C47—21no—
495C22×C4×C47C2411yescharacteristic
496C22×C4×C47C2411yescharacteristic
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—
504C2×C22⋊D47—21no—
505C2×C22⋊D47C2×D411yescharacteristic
506C2×C22⋊D47C2×D411yescharacteristic
507C22×Dic47—21no—
508C22×Dic47—21no—
509C22×Dic47—21no—
510C22×Dic47—21no—
511C22×Dic47—21no—
512C22×Dic47C2×D411yescharacteristic
513C22×Dic47C2×D411yescharacteristic
514#10625352—22no—
515#10625352—22no—
516#10625352—44no—
517D4×D47—22no—
518D4×D47—22no—
519D4×D47—42no—
520D4×D47—44no—
521D4×D47—82no—
522C2×D188—21no—
523C2×D188—21no—
524C2×D188C2×D411yescharacteristic
525C2×D188C2411yescharacteristic
526C2×C4×D47—22no—
527C2×C4×D47—22no—
528C2×C4×D47—22no—
529C2×C4×D47—22no—
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—82no—
540C2×C4×D47—82no—
541C2×C4×D47C2×D411yescharacteristic
542C2×C4×D47C2×D411yescharacteristic
543C2×C4×D47C2×D411yescharacteristic
544C2×C4×D47C2×D411yescharacteristic
545C2×C4×D47C2×D411yescharacteristic
546C2×C4×D47C2×D411yescharacteristic
547C2×C4×D47C2411yescharacteristic
548C2×C4×D47C2411yescharacteristic
549C2×C4×D47C2411yescharacteristic
550C2×Dic94—21no—
551C2×Dic94—21no—
552C2×Dic94C2411yescharacteristic
553D8×C47—22no—
554M16×C47—22no—
555M16×C47—22no—
556C2×C8×C47C2411yescharacteristic
557C2×C8×C47C2411yescharacteristic
558C2×C8×C47C2411yescharacteristic
559C2×C8×C47C2411yescharacteristic
560C4⋊C4×C47—21no—
561C4⋊C4×C47—21no—
562C4⋊C4×C47—21no—
563C4⋊C4×C47—21no—
564C4⋊C4×C47—21no—
565C4⋊C4×C47—21no—
566C4⋊C4×C47C2×D411yescharacteristic
567C4⋊C4×C47C2411yescharacteristic
568C4⋊C4×C47C2411yescharacteristic
569C4⋊C4×C47C2411yescharacteristic
570C4⋊C4×C47C2411yescharacteristic
571C4⋊C4×C47C2411yescharacteristic
572C4⋊C4×C47C2411yescharacteristic
573C22⋊C4×C47—21no—
574C22⋊C4×C47—21no—
575C22⋊C4×C47—21no—
576C22⋊C4×C47—21no—
577C22⋊C4×C47—21no—
578C22⋊C4×C47—21no—
579C22⋊C4×C47—21no—
580C22⋊C4×C47—21no—
581C22⋊C4×C47C2×D411yescharacteristic
582C22⋊C4×C47C2×D411yescharacteristic
583C42×C47—21no—
584C42×C47—21no—
585C42×C47C2411yescharacteristic
586C22⋊Dic47—21no—
587C22⋊Dic47—21no—
588C22⋊Dic47—21no—
589C22⋊Dic47—21no—
590C22⋊Dic47—21no—
591C22⋊Dic47—21no—
592C22⋊Dic47—21no—
593C22⋊Dic47—21no—
594C22⋊Dic47—21no—
595C22⋊Dic47—21no—
596C22⋊Dic47C2×D411yescharacteristic
597C22⋊Dic47C2×D411yescharacteristic
598#10625335—22no—
599#10625334—22no—
600(C2×D47)⋊C4—21no—
601(C2×D47)⋊C4—21no—
602(C2×D47)⋊C4—21no—
603(C2×D47)⋊C4—21no—
604(C2×D47)⋊C4—21no—
605(C2×D47)⋊C4—21no—
606(C2×D47)⋊C4—21no—
607(C2×D47)⋊C4—21no—
608(C2×D47)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
616(C2×D47)⋊C4C2×D411yescharacteristic
617(C2×D47)⋊C4C2×D411yescharacteristic
618(C2×D47)⋊C4C2×D411yescharacteristic
619C4⋊Dic47—21no—
620C4⋊Dic47—21no—
621C4⋊Dic47—21no—
622C4⋊Dic47—21no—
623C4⋊Dic47—21no—
624C4⋊Dic47—21no—
625C4⋊Dic47C2×D411yescharacteristic
626C4⋊Dic47C2411yescharacteristic
627C4⋊Dic47C2411yescharacteristic
628C4⋊Dic47C2411yescharacteristic
629C4⋊Dic47C2411yescharacteristic
630C4⋊Dic47C2411yescharacteristic
631C4⋊Dic47C2411yescharacteristic
632Dic47⋊C4—21no—
633Dic47⋊C4—21no—
634Dic47⋊C4—21no—
635Dic47⋊C4—21no—
636Dic47⋊C4—21no—
637Dic47⋊C4—21no—
638Dic47⋊C4—21no—
639Dic47⋊C4—21no—
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⋊C4C2×D411yescharacteristic
652Dic47⋊C4C2×D411yescharacteristic
653C4×Dic47—21no—
654C4×Dic47—21no—
655C4×Dic47—21no—
656C4×Dic47—21no—
657C4×Dic47—21no—
658C4×Dic47—21no—
659C4×Dic47—21no—
660C4×Dic47—21no—
661C4×Dic47—21no—
662C4×Dic47—21no—
663C4×Dic47—21no—
664C4×Dic47C2×D411yescharacteristic
665C4×Dic47C2×D411yescharacteristic
666C4×Dic47C2411yescharacteristic
667#10625329—22no—
668#10625329—22no—
669C2×C47⋊C8C2411yescharacteristic
670C2×C47⋊C8C2411yescharacteristic
671C2×C47⋊C8C2411yescharacteristic
672C2×C47⋊C8C2411yescharacteristic
673#10625325—22no—
674#10625324—22no—
675#10625324—22no—
676#10625324—22no—
677#10625324#4114yescomplemented
678C8×D47—22no—
679C8×D47—22no—
680C8×D47—22no—
681C8×D47—22no—
682C23×C47—21no—
683C23×C47—21no—
684C23×C47C22×D411yescharacteristic
685C23×C47C22×D411yescharacteristic
686C22×D47—22no—
687C22×D47—22no—
688C22×D47—22no—
689C22×D47—21no—
690C22×D47—41no—
691C22×D47—41no—
692C22×D47—41no—
693C22×D47—42no—
694C22×D47—42no—
695C22×D47—42no—
696C22×D47C22×D411yescharacteristic
697C22×D47C22×D411yescharacteristic
698C22×D47C22×D411yescharacteristic
699D4×C47—21no—
700D4×C47—21no—
701D4×C47—21no—
702D4×C47—21no—
703D4×C47—41no—
704D4×C47—42no—
705D4×C47—42no—
706D4×C47—81no—
707D4×C47—81no—
708C2×C4×C47—21no—
709C2×C4×C47—21no—
710C2×C4×C47—21no—
711C2×C4×C47—21no—
712C2×C4×C47—21no—
713C2×C4×C47—21no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—21no—
718C2×C4×C47—81no—
719C2×C4×C47—81no—
720C2×C4×C47—81no—
721C2×C4×C47—81no—
722C2×C4×C47C22×D411yescharacteristic
723C2×C4×C47C22×D411yescharacteristic
724C2×C4×C47C22×D411yescharacteristic
725C2×C4×C47C22×D411yescharacteristic
726C2×C4×C47C2511yescharacteristic
727C22⋊D47—22no—
728C22⋊D47—41no—
729C22⋊D47—42no—
730C22⋊D47—42no—
731C22⋊D47—42no—
732C22⋊D47—42no—
733C22⋊D47—42no—
734C22⋊D47—81no—
735C22⋊D47—81no—
736C22⋊D47—81no—
737C2×Dic47—22no—
738C2×Dic47—22no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—42no—
747C2×Dic47—42no—
748C2×Dic47—42no—
749C2×Dic47—81no—
750C2×Dic47—81no—
751C2×Dic47C22×D411yescharacteristic
752C2×Dic47C22×D411yescharacteristic
753C2×Dic47C22×D411yescharacteristic
754C2×Dic47C22×D411yescharacteristic
755C2×Dic47C22×D411yescharacteristic
756D188—22no—
757D188—21no—
758D188—21no—
759D188—42no—
760D188—81no—
761C4×D47—22no—
762C4×D47—22no—
763C4×D47—21no—
764C4×D47—21no—
765C4×D47—21no—
766C4×D47—21no—
767C4×D47—22no—
768C4×D47—22no—
769C4×D47—41no—
770C4×D47—41no—
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×D47C2×#4112yes—
781C4×D472−1+412yes—
782Dic94—21no—
783Dic94—21no—
784Dic94—42no—
785Dic94—81no—
786C8×C47—21no—
787C8×C47—21no—
788C8×C47—21no—
789C8×C47C2×#4112yes—
790C47⋊C8—21no—
791C47⋊C8—21no—
792C47⋊C8—21no—
793C47⋊C8C2×#4112yes—
794#61255—471nomaximal, Sylow
795C22×C47—21no—
796C22×C47—21no—
797C22×C47—21no—
798C22×C47—21no—
799C22×C47—21no—
800C22×C47—21no—
801C22×C47—41no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47—41no—
807C22×C47C23×D411yescharacteristic
808C2×D47—21no—
809C2×D47—21no—
810C2×D47—21no—
811C2×D47—21no—
812C2×D47—21no—
813C2×D47—21no—
814C2×D47—21no—
815C2×D47—44no—
816C2×D47—41no—
817C2×D47—41no—
818C2×D47—41no—
819C2×D47—82no—
820C2×D47—84no—
821C2×D47#54712yes—
822C2×D47#57512yes—
823C4×C47—21no—
824C4×C47—21no—
825C4×C47—21no—
826C4×C47—21no—
827C4×C47—41no—
828C4×C47—41no—
829C4×C47—41no—
830C4×C47—41no—
831C4×C47—41no—
832C4×C47—41no—
833C4×C47C22×#4111yescharacteristic
834C4×C47C2×2−1+411yescharacteristic
835Dic47—21no—
836Dic47—21no—
837Dic47—21no—
838Dic47—21no—
839Dic47—41no—
840Dic47—41no—
841Dic47—41no—
842Dic47—41no—
843Dic47—41no—
844Dic47—41no—
845Dic47—41no—
846Dic47#54712yes—
847#3475—471no—
848C2×#553—471no—
849#3355—471no—
850#3355D4711yescharacteristic, complemented
851#3351—471no—
852#3351—471no—
853#3350—471no—
854#3350—471no—
855#3347—471no—
856#3347—471no—
857#3346—471no—
858#3346—471no—
859#3345—471no—
860#3345—471no—
861#3339—471no—
862#3339—471no—
863#3337—471no—
864#3337—471no—
865#3166—471no—
866#3094—471no—
867#3094—471no—
868#3093—471no—
869#3092—471no—
870#3080—471no—
871#3077—471no—
872#3055—471no—
873#3055—471no—
874C4×AGL(1,ℤ/8)—471no—
875D4×M16—471no—
876#2911—471no—
877C2×#428—471no—
878C2×C47—41no—
879C2×C47—41no—
880C2×C47—81no—
881C2×C47—81no—
882C2×C47C2×#54711yescharacteristic
883C2×C47C2×#57511yescharacteristic
884C2×C47#358511yescharacteristic
885D47—22no—
886D47—22no—
887D47—41no—
888D47—81no—
889C2×AGL(1,ℤ/8)—471no—
890C22×M16—471no—
891C22×M16—471no—
892#556—471no—
893#555—471no—
894#554—471no—
895#553—471no—
896#553—471no—
897#553—471no—
898#553—471no—
899#553—471no—
900#553—471no—
901#553—471no—
902#553—471no—
903#553—941no—
904#553—941no—
905#553—941no—
906#553—941no—
907#553C2×D4711yescharacteristic
908#553C2×D4711yescharacteristic, complemented
909#552—471no—
910#552—471no—
911#552—941no—
912#551—941no—
913#551—941no—
914#547—471no—
915#546—941no—
916#533—471no—
917#529—941no—
918#529—941no—
919#529—941no—
920C2×#126—941no—
921C2×#125—471no—
922#525—471no—
923#525—471no—
924C2×#123—941no—
925C2×#121—471no—
926C2×#121—471no—
927C2×#121—941no—
928C4×#41—471no—
929C4×#41—941no—
930C2×C4×D4—471no—
931C2×C4×D4—471no—
932C2×C4×D4—941no—
933C2×#117—471no—
934C2×#117—471no—
935C2×#117—471no—
936C22×C4⋊C4—471no—
937#501—471no—
938#501—471no—
939#501—471no—
940#501—471no—
941#499—471no—
942#499—471no—
943#499—471no—
944#499C2×D4711yescharacteristic, complemented
945#485—471no—
946#485—471no—
947#485—471no—
948#485—471no—
949#484—471no—
950#484—471no—
951#483—471no—
952#483—471no—
953#482—471no—
954#482—471no—
955#482—471no—
956#482—471no—
957#482—471no—
958#482—471no—
959#482—471no—
960#482—471no—
961#482—471no—
962#482—471no—
963#482C2×D4711yescharacteristic, complemented
964#482C2×D4711yescharacteristic, complemented
965#481—471no—
966#481—471no—
967#481—471no—
968#481—471no—
969#481—471no—
970#481—471no—
971#480—471no—
972#480—471no—
973#480—471no—
974#480—471no—
975#480C2×D4711yescharacteristic, complemented
976#480C2×D4711yescharacteristic, complemented
977#479—471no—
978#479—471no—
979#479—471no—
980#479—471no—
981#478—471no—
982#478—471no—
983#478—471no—
984#478—471no—
985#478—471no—
986#478—471no—
987#478C2×D4711yescharacteristic, complemented
988#478C2×D4711yescharacteristic, complemented
989#476—471no—
990#476—471no—
991#474—471no—
992#474—471no—
993#469—471no—
994#469—471no—
995#469C2×D4711yescharacteristic, complemented
996#469C2×D4711yescharacteristic, complemented
997#468—471no—
998#468—471no—
999#468—471no—
1000#468—471no—
1001#466—471no—
1002#466—471no—
1003#466—471no—
1004#466—471no—
1005#465—471no—
1006#465—471no—
1007#465—471no—
1008#465—471no—
1009#442—471no—
1010#442—471no—
1011#440—471no—
1012#440—471no—
1013C4×SD16—471no—
1014C4×SD16—471no—
1015C4×D8—471no—
1016C4×D8C2×D4711yescharacteristic, complemented
1017#436—471no—
1018#436C2×D4711yescharacteristic, complemented
1019#435—471no—
1020#435—471no—
1021#435—471no—
1022#435—471no—
1023C8×D4—471no—
1024C8×D4—471no—
1025#428—471no—
1026#428—471no—
1027#428—471no—
1028#428—471no—
1029#428—471no—
1030#428—471no—
1031#428—471no—
1032#428—471no—
1033#428—471no—
1034#428—471no—
1035#428—471no—
1036#428—471no—
1037#428—471no—
1038#428—471no—
1039#428—471no—
1040#428C2×D4711yescharacteristic, complemented
1041#428C2×D4711yescharacteristic, complemented
1042#427—471no—
1043#427—471no—
1044#427—471no—
1045#427—471no—
1046C2×#107—471no—
1047C2×#107—471no—
1048C2×#106—471no—
1049C2×#106—471no—
1050#423—471no—
1051#418—471no—
1052#418—471no—
1053#418—471no—
1054#417—471no—
1055#417—471no—
1056#417—471no—
1057#407—471no—
1058#407—471no—
1059C4×M16—471no—
1060C47#6125511yescharacteristic, complemented, Sylow
1061C2×#41—471no—
1062C2×#41—941no—
1063C22×D4—471no—
1064C22×D4—471no—
1065C22×D4—941no—
1066C22×D4—941no—
1067C23×C4—471no—
1068C23×C4—471no—
1069C23×C4—941no—
1070C23×C4—941no—
1071AGL(1,ℤ/8)—944no—
1072C2×SD16—471no—
1073C2×SD16—471no—
1074C2×D8—471no—
1075C2×D8C22×D4711yescharacteristic
1076C2×M16—471no—
1077C2×M16—471no—
1078C2×M16—471no—
1079C2×M16—471no—
1080C2×M16—471no—
1081C2×M16—471no—
1082C2×M16—944no—
1083C2×M16—944no—
1084C2×M16C22×D4711yescharacteristic
1085C2×M16C22×D4711yescharacteristic
1086C22×C8—471no—
1087C22×C8—471no—
1088C22×C8—471no—
1089C22×C8—471no—
1090C4⋊Q8—471no—
1091C4⋊Q8—471no—
1092#126—21no—
1093#126—21no—
1094#126—941no—
1095#126—941no—
1096#126—941no—
1097#126—941no—
1098#126—941no—
1099#126—941no—
1100#126—941no—
1101#126—941no—
1102#126—941no—
1103#126—941no—
1104#126—941no—
1105#126—941no—
1106#125—471no—
1107#125—471no—
1108#125—471no—
1109#125—471no—
1110#125—941no—
1111#125—941no—
1112#125—941no—
1113#125—941no—
1114#125—941no—
1115#125C22×D4711yescharacteristic
1116#125C22×D4711yescharacteristic
1117#124—941no—
1118#124—941no—
1119#124—941no—
1120#123—21no—
1121#123—21no—
1122#123—941no—
1123#123—941no—
1124#123—941no—
1125#123—941no—
1126#123—941no—
1127#123—941no—
1128#123—941no—
1129#123—941no—
1130#123—941no—
1131#123—941no—
1132#123—941no—
1133#123—941no—
1134#123—941no—
1135#123—941no—
1136C22⋊Q8—471no—
1137C22⋊Q8—471no—
1138C22⋊Q8—471no—
1139C22⋊Q8—471no—
1140C22⋊Q8—941no—
1141C22⋊Q8—941no—
1142C22⋊Q8—941no—
1143C22⋊Q8—941no—
1144C22⋊Q8—941no—
1145#121—21no—
1146#121—21no—
1147#121—471no—
1148#121—471no—
1149#121—471no—
1150#121—471no—
1151#121—471no—
1152#121—471no—
1153#121—471no—
1154#121—471no—
1155#121—941no—
1156#121—941no—
1157#121—941no—
1158#121—941no—
1159#121—941no—
1160#121—941no—
1161#121—941no—
1162#121—941no—
1163#121—941no—
1164#121—941no—
1165#121—941no—
1166#121—941no—
1167#121—941no—
1168#121C22×D4711yescharacteristic
1169#121C22×D4711yescharacteristic
1170#121C22×D4711yescharacteristic
1171#121C22×D4711yescharacteristic
1172#120—941no—
1173#120—941no—
1174C4×Q8—471no—
1175C4×Q8—471no—
1176C4×Q8—941no—
1177C4×Q8—941no—
1178C4×Q8—941no—
1179C4×D4—21no—
1180C4×D4—21no—
1181C4×D4—471no—
1182C4×D4—471no—
1183C4×D4—471no—
1184C4×D4—471no—
1185C4×D4—471no—
1186C4×D4—471no—
1187C4×D4—471no—
1188C4×D4—471no—
1189C4×D4—471no—
1190C4×D4—471no—
1191C4×D4—471no—
1192C4×D4—941no—
1193C4×D4—941no—
1194C4×D4—941no—
1195C4×D4—941no—
1196C4×D4—941no—
1197C4×D4—941no—
1198C4×D4—941no—
1199C4×D4—941no—
1200C4×D4—941no—
1201C4×D4—941no—
1202C4×D4—941no—
1203C4×D4—941no—
1204C4×D4—941no—
1205C4×D4—941no—
1206C4×D4—941no—
1207C4×D4—941no—
1208C4×D4—941no—
1209C4×D4C22×D4711yescharacteristic
1210C4×D4C22×D4711yescharacteristic
1211C4×D4C22×D4711yescharacteristic
1212#117—471no—
1213#117—471no—
1214#117—471no—
1215#117—471no—
1216#117—471no—
1217#117—471no—
1218#117—471no—
1219#117—471no—
1220#117—471no—
1221#117—941no—
1222#117—941no—
1223#117—941no—
1224#117—941no—
1225#117—941no—
1226#117—941no—
1227#117—941no—
1228#117—941no—
1229#117—941no—
1230#117—941no—
1231#117C22×D4711yescharacteristic
1232#117C22×D4711yescharacteristic
1233C2×C4⋊C4—471no—
1234C2×C4⋊C4—471no—
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—471no—
1243C2×C4⋊C4—941no—
1244C2×C4⋊C4—941no—
1245C2×C4⋊C4—941no—
1246C2×C4⋊C4—941no—
1247C2×C4⋊C4—941no—
1248C2×C4⋊C4C22×D4711yescharacteristic
1249C2×C4⋊C4C22×D4711yescharacteristic
1250C2×C22⋊C4—471no—
1251C2×C22⋊C4—471no—
1252C2×C22⋊C4—941no—
1253C2×C22⋊C4—941no—
1254C2×C22⋊C4—941no—
1255C2×C22⋊C4—941no—
1256C2×C22⋊C4—941no—
1257C2×C22⋊C4—941no—
1258C2×C42—471no—
1259C2×C42—941no—
1260C2×C42—941no—
1261C2×C42—941no—
1262C2×C42—941no—
1263#107—471no—
1264#107—471no—
1265#107—471no—
1266#107—471no—
1267#107—471no—
1268#107—471no—
1269#107—471no—
1270#107—471no—
1271#107—471no—
1272#107—471no—
1273#107—471no—
1274#107—471no—
1275#107—471no—
1276#107C22×D4711yescharacteristic
1277#107C22×D4711yescharacteristic
1278#107C22×D4711yescharacteristic
1279#107C22×D4711yescharacteristic
1280#107C22×D4711yescharacteristic
1281#106—471no—
1282#106—471no—
1283#106—471no—
1284#106—471no—
1285#106—471no—
1286#106—471no—
1287#106—471no—
1288#106—471no—
1289#106—471no—
1290#106—471no—
1291#106—471no—
1292#106—471no—
1293#106—471no—
1294#106—471no—
1295#106C22×D4711yescharacteristic
1296#106C22×D4711yescharacteristic
1297#106C22×D4711yescharacteristic
1298#106C22×D4711yescharacteristic
1299C4⋊C8—471no—
1300C4⋊C8—471no—
1301C4⋊C8—471no—
1302C4⋊C8C22×D4711yescharacteristic
1303#103—471no—
1304#103—471no—
1305#103—471no—
1306#103—471no—
1307#103—471no—
1308#103—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#102C22×D4711yescharacteristic
1322#102C22×D4711yescharacteristic
1323#102C22×D4711yescharacteristic
1324#102C22×D4711yescharacteristic
1325#102C22×D4711yescharacteristic
1326#102C22×D4711yescharacteristic
1327C22⋊C8—471no—
1328C22⋊C8—471no—
1329C22⋊C8—471no—
1330C22⋊C8—471no—
1331C22⋊C8—471no—
1332C22⋊C8—471no—
1333C22⋊C8C22×D4711yescharacteristic
1334C22⋊C8C22×D4711yescharacteristic
1335#97—471no—
1336#97—471no—
1337C4×C8—471no—
1338C4×C8C22×D4711yescharacteristic
1339C24—471no—
1340C24—471no—
1341C24—941no—
1342#41—942no—
1343#41—942no—
1344#41—1884no—
1345C2×Q8—471no—
1346C2×Q8—941no—
1347C2×Q8—941no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—471no—
1353C2×D4—471no—
1354C2×D4—471no—
1355C2×D4—471no—
1356C2×D4—941no—
1357C2×D4—941no—
1358C2×D4—942no—
1359C2×D4—942no—
1360C2×D4—941no—
1361C2×D4—941no—
1362C2×D4—941no—
1363C2×D4—941no—
1364C2×D4—941no—
1365C2×D4—941no—
1366C2×D4—941no—
1367C2×D4—941no—
1368C2×D4—3762no—
1369C2×D4—1882no—
1370C2×D4—1884no—
1371C2×D4D4×D4711yescharacteristic
1372C2×D4C23×D4711yescharacteristic
1373C2×D4C23×D4711yescharacteristic
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—471no—
1379C22×C4—471no—
1380C22×C4—471no—
1381C22×C4—471no—
1382C22×C4—471no—
1383C22×C4—471no—
1384C22×C4—471no—
1385C22×C4—471no—
1386C22×C4—471no—
1387C22×C4—471no—
1388C22×C4—471no—
1389C22×C4—942no—
1390C22×C4—942no—
1391C22×C4—942no—
1392C22×C4—942no—
1393C22×C4—941no—
1394C22×C4—941no—
1395C22×C4—941no—
1396C22×C4—941no—
1397C22×C4—941no—
1398C22×C4—941no—
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—3762no—
1408C22×C4—3762no—
1409C22×C4C23×D4711yescharacteristic
1410C22×C4C23×D4711yescharacteristic
1411SD16—942no—
1412SD16—942no—
1413D8—22no—
1414D8—942no—
1415M16—22no—
1416M16—22no—
1417M16—474no—
1418M16—942no—
1419M16—942no—
1420M16—942no—
1421M16—942no—
1422M16—942no—
1423C2×C8—471no—
1424C2×C8—471no—
1425C2×C8—471no—
1426C2×C8—471no—
1427C2×C8—942no—
1428C2×C8—942no—
1429C2×C8—942no—
1430C2×C8—942no—
1431C2×C8C23×D4711yescharacteristic
1432C2×C8C23×D4711yescharacteristic
1433C2×C8C23×D4711yescharacteristic
1434C2×C8C23×D4711yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—471no—
1442C4⋊C4—471no—
1443C4⋊C4—471no—
1444C4⋊C4—471no—
1445C4⋊C4—471no—
1446C4⋊C4—471no—
1447C4⋊C4—471no—
1448C4⋊C4—471no—
1449C4⋊C4—471no—
1450C4⋊C4—941no—
1451C4⋊C4—941no—
1452C4⋊C4—941no—
1453C4⋊C4—941no—
1454C4⋊C4—941no—
1455C4⋊C4—941no—
1456C4⋊C4—941no—
1457C4⋊C4—941no—
1458C4⋊C4—941no—
1459C4⋊C4—941no—
1460C4⋊C4—941no—
1461C4⋊C4—941no—
1462C4⋊C4—941no—
1463C4⋊C4—941no—
1464C4⋊C4—941no—
1465C4⋊C4—941no—
1466C4⋊C4—941no—
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⋊C4D4×D4711yescharacteristic
1476C4⋊C4C23×D4711yescharacteristic
1477C4⋊C4C23×D4711yescharacteristic
1478C4⋊C4C23×D4711yescharacteristic
1479C4⋊C4C23×D4711yescharacteristic
1480C4⋊C4C23×D4711yescharacteristic
1481C4⋊C4C23×D4711yescharacteristic
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—471no—
1491C22⋊C4—471no—
1492C22⋊C4—471no—
1493C22⋊C4—471no—
1494C22⋊C4—471no—
1495C22⋊C4—471no—
1496C22⋊C4—941no—
1497C22⋊C4—941no—
1498C22⋊C4—941no—
1499C22⋊C4—941no—
1500C22⋊C4—941no—
1501C22⋊C4—941no—
1502C22⋊C4—941no—
1503C22⋊C4—941no—
1504C22⋊C4—941no—
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⋊C4D4×D4711yescharacteristic
1522C22⋊C4D4×D4711yescharacteristic
1523C42—21no—
1524C42—21no—
1525C42—471no—
1526C42—471no—
1527C42—471no—
1528C42—941no—
1529C42—941no—
1530C42—941no—
1531C42—941no—
1532C42—941no—
1533C42—941no—
1534C42—941no—
1535C42—941no—
1536C42—941no—
1537C42—941no—
1538C42—941no—
1539C42C23×D4711yescharacteristic
1540C23—21no—
1541C23—21no—
1542C23—471no—
1543C23—471no—
1544C23—471no—
1545C23—942no—
1546C23—942no—
1547C23—942no—
1548C23—941no—
1549C23—1881no—
1550C23—1881no—
1551C23—1881no—
1552C23—1882no—
1553C23—1882no—
1554C23—1882no—
1555C23C2×D4×D4711yescharacteristic
1556C23C2×D4×D4711yescharacteristic
1557Q8—941no—
1558Q8—941no—
1559Q8—3761no—
1560Q8—1882no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—41no—
1566D4—42no—
1567D4—42no—
1568D4—81no—
1569D4—81no—
1570D4—942no—
1571D4—942no—
1572D4—941no—
1573D4—941no—
1574D4—3761no—
1575D4—3761no—
1576D4—3761no—
1577D4—3761no—
1578D4—1882no—
1579D4—1882no—
1580D4—1881no—
1581D4—1882no—
1582D4—1882no—
1583D4—1882no—
1584D4—1882no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—81no—
1596C2×C4—81no—
1597C2×C4—81no—
1598C2×C4—81no—
1599C2×C4—471no—
1600C2×C4—472no—
1601C2×C4—472no—
1602C2×C4—471no—
1603C2×C4—471no—
1604C2×C4—471no—
1605C2×C4—471no—
1606C2×C4—942no—
1607C2×C4—942no—
1608C2×C4—942no—
1609C2×C4—942no—
1610C2×C4—942no—
1611C2×C4—942no—
1612C2×C4—941no—
1613C2×C4—941no—
1614C2×C4—941no—
1615C2×C4—941no—
1616C2×C4—941no—
1617C2×C4—941no—
1618C2×C4—941no—
1619C2×C4—941no—
1620C2×C4—941no—
1621C2×C4—941no—
1622C2×C4—941no—
1623C2×C4—3761no—
1624C2×C4—3761no—
1625C2×C4—3761no—
1626C2×C4—3761no—
1627C2×C4—3761no—
1628C2×C4—3761no—
1629C2×C4—3761no—
1630C2×C4—1881no—
1631C2×C4—1881no—
1632C2×C4—1882no—
1633C2×C4—1882no—
1634C2×C4—1882no—
1635C2×C4—1882no—
1636C2×C4—1882no—
1637C2×C4—1882no—
1638C2×C4—1882no—
1639C2×C4C2×D4×D4711yescharacteristic
1640C2×C4C2×D4×D4711yescharacteristic
1641C2×C4C2×D4×D4711yescharacteristic
1642C2×C4C2×D4×D4711yescharacteristic
1643C2×C4C24×D4711yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—472no—
1648C8—941no—
1649C8—941no—
1650C8—941no—
1651C8#41×D4712yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—472no—
1665C22—472no—
1666C22—941no—
1667C22—941no—
1668C22—941no—
1669C22—941no—
1670C22—941no—
1671C22—941no—
1672C22—941no—
1673C22—3762no—
1674C22—3764no—
1675C22—1884no—
1676C22—1881no—
1677C22—1881no—
1678C22—1881no—
1679C22C22×D4×D4711yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—472no—
1691C4—941no—
1692C4—941no—
1693C4—941no—
1694C4—941no—
1695C4—1881no—
1696C4—1881no—
1697C4—1881no—
1698C4—1881no—
1699C4—1881no—
1700C4—1881no—
1701C4—1881no—
1702C4C2×#41×D4711yescharacteristic
1703C42−1+4×D4711yescharacteristic
1704C2—41no—
1705C2—41no—
1706C2—81no—
1707C2—81no—
1708C2—942no—
1709C2—942no—
1710C2—3761no—
1711C2—1881no—
1712C2#547×D4711yescharacteristic
1713C2#575×D4711yescharacteristic
1714C2#2025816311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3355C2
socleC22×C47C23×D4
hypercenter#3355D47
hypocenterC47#61255
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3355

Complements

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

NH ≅ G/Ntype
1. #20256947C2semidirect
2. #553×D47C2semidirect
3. #20255988C2semidirect
4. #20255950C2semidirect
5. #20255942C2semidirect
6. #20255934C2semidirect
7. #20255926C2semidirect
8. #20255891C2semidirect
9. #20255883C2semidirect
10. #20255876C2semidirect
11. #20255874C2semidirect
12. #20255861C2semidirect
13. #20255853C2semidirect
14. #20255792C2semidirect
15. #20255787C2semidirect
16. #20255774C2semidirect
17. #20255766C2semidirect
18. #20253936C2semidirect
19. #20253327C2semidirect
20. #20253323C2semidirect
21. #20253316C2semidirect
22. #20253307C2semidirect
23. #20253205C2semidirect
24. #20253183C2semidirect
25. #20253006C2semidirect
26. #20253006C2semidirect
27. C4×#13094048C2semidirect
28. #20252124C2semidirect
29. #20251975C2semidirect
30. #428×D47C2semidirect
31. C47×#3355C2semidirect
35. #15689841C22semidirect
36. #15689837C22semidirect
37. #15689828C22semidirect
42. #15689823C22semidirect
50. #15689813C22semidirect
51. #15689811C22semidirect
55. #15689773C22semidirect
78. #15689531C22semidirect
79. #15689531C22semidirect
80. #15689530C22semidirect
81. #15689530C22semidirect
82. #15689525C22semidirect
83. #15689522C22semidirect
84. #15689522C22semidirect
85. #15689467C22semidirect
86. #15689466C22semidirect
87. #15689465C22semidirect
88. #15689464C22semidirect
89. #15689460C22semidirect
90. #15689460C22semidirect
91. #15689454C22semidirect
92. #15689453C22semidirect
93. #15689450C22semidirect
94. #15689450C22semidirect
95. #15689448C22semidirect
96. #15689447C22semidirect
97. #15689446C22semidirect
98. #15689446C22semidirect
99. #15689446C22semidirect
100. #15689445C22semidirect
101. #15689444C22semidirect
102. #15689444C22semidirect
103. #15689443C22semidirect
104. #15689442C22semidirect
105. #15689440C22semidirect
106. #15689440C22semidirect
107. #15689440C22semidirect
108. #15689439C22semidirect
109. #15689438C22semidirect
110. #15689436C22semidirect
111. #15689435C22semidirect
112. #15689434C22semidirect
113. #15689433C22semidirect
114. #15689431C22semidirect
115. #15689429C22semidirect
116. #15689427C22semidirect
117. #15689425C22semidirect
118. #15689424C22semidirect
119. #15689423C22semidirect
120. #15689423C22semidirect
121. #15689421C22semidirect
122. #15689420C22semidirect
123. #15689412C22semidirect
124. #15689411C22semidirect
125. #15689402C22semidirect
126. #15689401C22semidirect
127. #15689374C22semidirect
128. #15689374C22semidirect
129. #15689369C22semidirect
130. #15689369C22semidirect
131. #15689367C22semidirect
132. #15689367C22semidirect
133. #15689358C22semidirect
134. #15689358C22semidirect
135. #15689356C22semidirect
136. #15689356C22semidirect
137. #15689353C22semidirect
138. #15689353C22semidirect
139. #15689351C22semidirect
140. #15689351C22semidirect
141. #15689235C22semidirect
142. #15689232C22semidirect
143. #15689222C22semidirect
144. #15689220C22semidirect
145. C4×#10625325C22semidirect
146. C4×#10625335C22semidirect
147. C4×#10625334C22semidirect
148. #15689201C22semidirect
149. #15689197C22semidirect
150. #15689197C22semidirect
151. #15689192C22semidirect
152. #15689192C22semidirect
153. C8×D188C22semidirect
154. #15689188C22semidirect
155. #15689166C22semidirect
156. #15689166C22semidirect
157. #15689165C22semidirect
158. #15689165C22semidirect
164. #15689163C22semidirect
165. #15689163C22semidirect
170. #15689160C22semidirect
171. #15689160C22semidirect
172. #15689158C22semidirect
173. #15689158C22semidirect
174. #107×D47C22semidirect
175. #107×D47C22semidirect
176. #106×D47C22semidirect
177. #106×D47C22semidirect
189. C47×#553C22semidirect
190. C47×#499C22semidirect
191. C47×#482C22semidirect
192. C47×#482C22semidirect
193. C47×#480C22semidirect
194. C47×#480C22semidirect
195. C47×#478C22semidirect
196. C47×#478C22semidirect
197. C47×#469C22semidirect
198. C47×#469C22semidirect
199. C4×D8×C47C22semidirect
200. C47×#436C22semidirect
201. C47×#428C22semidirect
202. C47×#428C22semidirect
677. #10625324#41semidirect
850. #3355D47semidirect
908. #553C2×D47semidirect
944. #499C2×D47semidirect
963. #482C2×D47semidirect
964. #482C2×D47semidirect
975. #480C2×D47semidirect
976. #480C2×D47semidirect
987. #478C2×D47semidirect
988. #478C2×D47semidirect
995. #469C2×D47semidirect
996. #469C2×D47semidirect
1016. C4×D8C2×D47semidirect
1018. #436C2×D47semidirect
1040. #428C2×D47semidirect
1041. #428C2×D47semidirect
1060. C47#61255semidirect

Maximal subgroups

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

subgroupindex
#202569472
#553×D472
#202559882
#202559502
#202559422
#202559342
#202559262
#202558912
#202558832
#202558762
#202558742
#202558612
#202558532
#202557922
#202557872
#202557742
#202557662
#202539362
#202533272
#202533232
#202533162
#202533072
#202532052
#202531832
#202530062
C4×#130940482
#202521242
#202519752
#428×D472
C47×#33552
#6125547