Finite Group Databasebeta

← #27096919

Subgroups — #27096919

Order 12032.

1750 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257195C211yesmaximal, characteristic, complemented
2#20257187C211yesmaximal, characteristic
3#20256339C211yesmaximal, characteristic, complemented
4#20256335C211yesmaximal, characteristic, complemented
5#20256329C211yesmaximal, characteristic, complemented
6#20256310C211yesmaximal, characteristic, complemented
7#20256306C211yesmaximal, characteristic, complemented
8#20256299C211yesmaximal, characteristic, complemented
9#20256295C211yesmaximal, characteristic, complemented
10#20256266C211yesmaximal, characteristic, complemented
11#20256266C211yesmaximal, characteristic, complemented
12#20256263C211yesmaximal, characteristic, complemented
13#20256259C211yesmaximal, characteristic, complemented
14#20256258C211yesmaximal, characteristic, complemented
15#20256258C211yesmaximal, characteristic, complemented
16#20256247C211yesmaximal, characteristic, complemented
17#20256243C211yesmaximal, characteristic, complemented
18#20253915C211yesmaximal, characteristic, complemented
19#20253915C211yesmaximal, characteristic, complemented
20#20253901C211yesmaximal, characteristic, complemented
21#20253227C211yesmaximal, characteristic, complemented
22#20253223C211yesmaximal, characteristic, complemented
23#20253218C211yesmaximal, characteristic
24#20253214C211yesmaximal, characteristic
25#20253191C211yesmaximal, characteristic, complemented
26#20253183C211yesmaximal, characteristic
27#20252319C211yesmaximal, characteristic, complemented
28#20252244C211yesmaximal, characteristic
29#20252244C211yesmaximal, characteristic
30C4×SD16×D47C211yesmaximal, characteristic
31C47×#3388C211yesmaximal, characteristic, complemented
32C2×SD16×D47C2211yescharacteristic
33Q8×Dic94C2211yescharacteristic, complemented
34#15689853—21no—
35#15689853C2211yescharacteristic, complemented
36#15689851—21no—
37#15689851C2211yescharacteristic, complemented
38#15689850—21no—
39#15689850—21no—
40#15689850C2211yescharacteristic, complemented
41#15689850C2211yescharacteristic, complemented
42#15689849C2211yescharacteristic, complemented
43#15689849C2211yescharacteristic, complemented
44#15689833C2211yescharacteristic
45#15689832C2211yescharacteristic
46#15689832C2211yescharacteristic
47#15689829C2211yescharacteristic
48#15689829C2211yescharacteristic
49#15689828—21no—
50#15689827—21no—
51#15689827—21no—
52D4×Dic94C2211yescharacteristic
53#15689788C2211yescharacteristic
54#15689786—21no—
55#15689753—21no—
56#15689753C2211yescharacteristic
57#15689753C2211yescharacteristic
58#15689750—21no—
59#15689750C2211yescharacteristic
60#15689750C2211yescharacteristic
61#15689748—21no—
62#15689748—21no—
63#15689679—21no—
64#15689679C2211yescharacteristic
65#15689679C2211yescharacteristic
66#15689677—21no—
67#15689677C2211yescharacteristic
68C2×#13094002—21no—
69C22⋊Q8×D47—21no—
70#15689599C2211yescharacteristic
71#15689599C2211yescharacteristic
72#15689595C2211yescharacteristic
73#15689595C2211yescharacteristic
74C4×Q8×D47C2211yescharacteristic
75C4×D4×D47C2211yescharacteristic
76#15689532C2211yescharacteristic, complemented
77#15689532C2211yescharacteristic, complemented
78#15689531C2211yescharacteristic, complemented
79#15689531C2211yescharacteristic, complemented
80#15689530C2211yescharacteristic, complemented
81#15689530C2211yescharacteristic, complemented
82#15689527C2211yescharacteristic, complemented
83#15689527C2211yescharacteristic, complemented
84#15689525C2211yescharacteristic, complemented
85#15689524C2211yescharacteristic, complemented
86#15689524C2211yescharacteristic, complemented
87#15689522C2211yescharacteristic, complemented
88#15689522C2211yescharacteristic, complemented
89#15689522C2211yescharacteristic, complemented
90#15689522C2211yescharacteristic, complemented
91#15689520C2211yescharacteristic, complemented
92#15689520C2211yescharacteristic, complemented
93#15689520C2211yescharacteristic, complemented
94#15689520C2211yescharacteristic, complemented
95#15689519C2211yescharacteristic, complemented
96#15689519C2211yescharacteristic, complemented
97#15689433C2211yescharacteristic, complemented
98#15689433C2211yescharacteristic, complemented
99#15689431C2211yescharacteristic, complemented
100#15689431C2211yescharacteristic, complemented
101#15689430C2211yescharacteristic, complemented
102#15689430C2211yescharacteristic, complemented
103#15689428C2211yescharacteristic, complemented
104#15689428C2211yescharacteristic, complemented
105#15689427C2211yescharacteristic, complemented
106#15689427C2211yescharacteristic, complemented
107#15689425C2211yescharacteristic
108#15689425C2211yescharacteristic
109#15689424C2211yescharacteristic
110#15689424C2211yescharacteristic
111#15689423C2211yescharacteristic
112#15689423C2211yescharacteristic
113#15689422C2211yescharacteristic
114#15689422C2211yescharacteristic
115#15689420C2211yescharacteristic
116#15689420C2211yescharacteristic
117#15689418C2211yescharacteristic, complemented
118#15689417C2211yescharacteristic, complemented
119#15689417C2211yescharacteristic, complemented
120#15689416C2211yescharacteristic, complemented
121#15689416C2211yescharacteristic, complemented
122#15689415C2211yescharacteristic, complemented
123#15689414C2211yescharacteristic
124#15689412C2211yescharacteristic
125#15689412C2211yescharacteristic
126#15689411C2211yescharacteristic
127#15689411C2211yescharacteristic
128#15689409C2211yescharacteristic, complemented
129#15689407C2211yescharacteristic, complemented
130#15689407C2211yescharacteristic, complemented
131#15689406C2211yescharacteristic, complemented
132#15689406C2211yescharacteristic, complemented
133#15689403C2211yescharacteristic
134#15689402C2211yescharacteristic
135#15689402C2211yescharacteristic
136#15689401C2211yescharacteristic
137#15689401C2211yescharacteristic
138#15689400C2211yescharacteristic
139#15689253C2211yescharacteristic, complemented
140#15689251C2211yescharacteristic, complemented
141#15689251C2211yescharacteristic, complemented
142Q8×C47⋊C8C2211yescharacteristic, complemented
143#15689247C2211yescharacteristic, complemented
144#15689247C2211yescharacteristic, complemented
145#15689247C2211yescharacteristic, complemented
146#15689225C2211yescharacteristic
147#15689225C2211yescharacteristic
148#15689224C2211yescharacteristic
149#15689224C2211yescharacteristic
150#15689222C2211yescharacteristic
151#15689222C2211yescharacteristic
152#15689214C2211yescharacteristic
153#15689214C2211yescharacteristic
154#15689214C2211yescharacteristic
155C4×#10625325C2211yescharacteristic
156SD16×Dic47C2211yescharacteristic
157C4×#10625336C2211yescharacteristic
158C4×#10625336C2211yescharacteristic
159C4×#10625336C2211yescharacteristic
160#15689210C2211yescharacteristic
161C4×#10625335C2211yescharacteristic
162C4×#10625335C2211yescharacteristic
163C4×#10625335C2211yescharacteristic
164#15689208C2211yescharacteristic
165#15689208C2211yescharacteristic
166#15689208C2211yescharacteristic
167#15689164C2211yescharacteristic
168#15689164C2211yescharacteristic
169#15689162C2211yescharacteristic
170#15689162C2211yescharacteristic
171#15689160C2211yescharacteristic
172#15689160C2211yescharacteristic
173#15689158C2211yescharacteristic
174#15689158C2211yescharacteristic
175#106×D47C2211yescharacteristic
176#15689148C2211yescharacteristic
177#15689148C2211yescharacteristic
178#15689145C2211yescharacteristic
179#15689130C2211yescharacteristic
180#15689130C2211yescharacteristic
181#15689126C2211yescharacteristic
182#15689126C2211yescharacteristic
183#103×D47C2211yescharacteristic
184#102×D47C2211yescharacteristic
185#15689080C2211yescharacteristic
186#15689080C2211yescharacteristic
187C4×C8×D47C2211yescharacteristic
188C47×#557C2211yescharacteristic, complemented
189C47×#554C2211yescharacteristic
190C47×#501C2211yescharacteristic, complemented
191C47×#501C2211yescharacteristic, complemented
192C47×#499C2211yescharacteristic, complemented
193C47×#479C2211yescharacteristic, complemented
194C47×#479C2211yescharacteristic, complemented
195C47×#478C2211yescharacteristic
196C47×#478C2211yescharacteristic
197C47×#476C2211yescharacteristic
198C47×#475C2211yescharacteristic, complemented
199C47×#446C2211yescharacteristic, complemented
200C47×#440C2211yescharacteristic
201C47×#440C2211yescharacteristic
202C4×SD16×C47C2211yescharacteristic
203C22×Dic94—21no—
204C2×Q8×D47—21no—
205C2×Q8×D47C2311yescharacteristic
206C2×D4×D47C2311yescharacteristic
207C22×C4×D47—21no—
208C2×#10625325C2311yescharacteristic
209C2×#10625335C2311yescharacteristic
210C2×#10625336C2311yescharacteristic
211SD16×D47Q818yescomplemented
212C2×#10625324C2311yescharacteristic
213C2×#10625324C2311yescharacteristic
214C2×C8×D47C2311yescharacteristic
215C2×C8×D47C2311yescharacteristic
216#13094024—21no—
217#13094024C2311yescharacteristic
218#13094024C2311yescharacteristic
219#13094023—21no—
220#13094023—21no—
221#13094023—21no—
222#13094023—21no—
223#13094023—21no—
224#13094023—21no—
225#13094023—21no—
226#13094023—21no—
227#13094023—21no—
228#13094023D411yescharacteristic
229#13094023C2311yescharacteristic
230#13094023C2311yescharacteristic
231#13094023C2311yescharacteristic
232#13094023C2311yescharacteristic
233#13094023C2311yescharacteristic
234#13094023C2311yescharacteristic
235#13094023C2311yescharacteristic
236#13094023C2311yescharacteristic
237#13094022—21no—
238#13094022—21no—
239#13094022—21no—
240#13094022—21no—
241#13094022—21no—
242#13094022D411yescharacteristic
243#13094016—21no—
244#13094016—21no—
245#13094016C2311yescharacteristic
246#13094016C2311yescharacteristic
247#13094016C2311yescharacteristic
248#13094016C2311yescharacteristic
249#13094015—21no—
250#13094015—21no—
251#13094015C2311yescharacteristic
252#13094015C2311yescharacteristic
253#13094015C2311yescharacteristic
254#13094015C2311yescharacteristic
255#13094014—21no—
256#13094014—21no—
257#13094014—21no—
258#13094014—21no—
259#13094014—21no—
260#13094014—21no—
261#13094014—21no—
262#13094014—21no—
263#13094014—21no—
264#13094014—21no—
265#13094014D411yescharacteristic
266#13094014D411yescharacteristic
267#13094004—21no—
268#13094004—21no—
269#13094004—21no—
270#13094004—21no—
271#13094004D411yescharacteristic
272#13094003—21no—
273#13094003—21no—
274#13094003—21no—
275#13094002—21no—
276#13094002—21no—
277#13094002—21no—
278#13094002—21no—
279#13094002—21no—
280#13094002—21no—
281#13094002—21no—
282#13094002—21no—
283#13094002—21no—
284#13094002—21no—
285#13094002—21no—
286#13094002—21no—
287#13094002—21no—
288#13094002—21no—
289#13094002—21no—
290#13094002—21no—
291#13094002D411yescharacteristic
292#13094002D411yescharacteristic
293#13094001—21no—
294#13094001—21no—
295#13094001—21no—
296#13094001—21no—
297#13094001—21no—
298#13094001—21no—
299#13094000—21no—
300#13094000—21no—
301#13094000—21no—
302#13094000—21no—
303#13094000D411yescharacteristic
304Q8×Dic47C2311yescharacteristic
305Q8×Dic47C2311yescharacteristic
306Q8×Dic47C2311yescharacteristic
307C4×Dic94—21no—
308C4×Dic94—21no—
309C4×Dic94—21no—
310C4×Dic94—21no—
311C4×Dic94—21no—
312C4×Dic94—21no—
313C4×Dic94C2311yescharacteristic
314C4×Dic94C2311yescharacteristic
315C4×Dic94C2311yescharacteristic
316C4×Dic94C2311yescharacteristic
317C4×Dic94C2311yescharacteristic
318C4×Dic94C2311yescharacteristic
319#13093989—21no—
320#13093989—21no—
321#13093989—21no—
322#13093989—21no—
323#13093989—21no—
324#13093989—21no—
325#13093989—21no—
326#13093989—21no—
327#13093989—21no—
328#13093989—21no—
329#13093989—21no—
330#13093989C2311yescharacteristic
331#13093989C2311yescharacteristic
332#13093989C2311yescharacteristic
333C4×D188C2311yescharacteristic
334C4×D188C2311yescharacteristic
335C4×D188C2311yescharacteristic
336D4×Dic47C2311yescharacteristic
337D4×Dic47C2311yescharacteristic
338D4×Dic47C2311yescharacteristic
339#13093986C2311yescharacteristic
340#13093986C2311yescharacteristic
341#13093986C2311yescharacteristic
342C4×C22⋊D47—21no—
343C4×C22⋊D47—21no—
344C4×C22⋊D47—21no—
345(C22⋊D47)⋊C4—21no—
346(C22⋊D47)⋊C4—21no—
347(C22⋊D47)⋊C4—21no—
348#13093982—21no—
349#13093982—21no—
350#13093982C2311yescharacteristic
351#13093982C2311yescharacteristic
352#13093982C2311yescharacteristic
353#13093982C2311yescharacteristic
354#13093981—21no—
355#13093981—21no—
356#13093981C2311yescharacteristic
357#13093981C2311yescharacteristic
358C2×Dic47⋊C4—21no—
359C2×Dic47⋊C4—21no—
360C4⋊C4×D47—21no—
361C4⋊C4×D47—21no—
362C4⋊C4×D47—21no—
363C4⋊C4×D47—21no—
364C4⋊C4×D47C2311yescharacteristic
365C4⋊C4×D47C2311yescharacteristic
366C2×(C2×D47)⋊C4—21no—
367C2×(C2×D47)⋊C4—21no—
368C22⋊C4×D47—21no—
369C22⋊C4×D47—21no—
370C22⋊C4×D47—21no—
371C42×D47—21no—
372C42×D47C2311yescharacteristic
373#13093958C2311yescharacteristic
374#13093958C2311yescharacteristic
375#13093958C2311yescharacteristic
376#13093958C2311yescharacteristic
377#13093957C2311yescharacteristic
378#13093957C2311yescharacteristic
379#13093957C2311yescharacteristic
380#13093957C2311yescharacteristic
381#13093957C2311yescharacteristic
382#13093957C2311yescharacteristic
383#13093957C2311yescharacteristic
384#13093957C2311yescharacteristic
385#13093956C2311yescharacteristic
386#13093956C2311yescharacteristic
387#13093956C2311yescharacteristic
388#13093956C2311yescharacteristic
389#13093956C2311yescharacteristic
390#13093955C2311yescharacteristic
391#13093955C2311yescharacteristic
392#13093955C2311yescharacteristic
393#13093955C2311yescharacteristic
394#13093955C2311yescharacteristic
395#13093955C2311yescharacteristic
396#13093955C2311yescharacteristic
397#13093955C2311yescharacteristic
398#13093955C2311yescharacteristic
399#13093955C2311yescharacteristic
400C4⋊(C47⋊C8)C2311yescharacteristic
401C4⋊(C47⋊C8)C2311yescharacteristic
402C4⋊(C47⋊C8)C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407Dic47⋊C8C2311yescharacteristic
408Dic47⋊C8C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093944C2311yescharacteristic
425#13093944C2311yescharacteristic
426#13093944C2311yescharacteristic
427#13093934C2311yescharacteristic
428#13093934C2311yescharacteristic
429C4×C47⋊C8C2311yescharacteristic
430C4×C47⋊C8C2311yescharacteristic
431C4×C47⋊C8C2311yescharacteristic
432C8×Dic47C2311yescharacteristic
433C8×Dic47C2311yescharacteristic
434C8×Dic47C2311yescharacteristic
435C8×Dic47C2311yescharacteristic
436C2×SD16×C47C2311yescharacteristic
437C4⋊Q8×C47—21no—
438C4⋊Q8×C47C2311yescharacteristic
439C4⋊Q8×C47C2311yescharacteristic
440#125×C47—21no—
441#125×C47—21no—
442#125×C47C2311yescharacteristic
443#125×C47C2311yescharacteristic
444#125×C47C2311yescharacteristic
445#125×C47C2311yescharacteristic
446C22⋊Q8×C47—21no—
447C22⋊Q8×C47—21no—
448C22⋊Q8×C47—21no—
449C4×Q8×C47—21no—
450C4×Q8×C47C2311yescharacteristic
451C4×Q8×C47C2311yescharacteristic
452C4×Q8×C47C2311yescharacteristic
453C4×Q8×C47C2311yescharacteristic
454C4×D4×C47C2311yescharacteristic
455C4×D4×C47C2311yescharacteristic
456C4×D4×C47C2311yescharacteristic
457C2×C4⋊C4×C47—21no—
458#107×C47C2311yescharacteristic
459#107×C47C2311yescharacteristic
460#107×C47C2311yescharacteristic
461#107×C47C2311yescharacteristic
462#106×C47C2311yescharacteristic
463#106×C47C2311yescharacteristic
464#106×C47C2311yescharacteristic
465#106×C47C2311yescharacteristic
466#106×C47C2311yescharacteristic
467C4⋊C8×C47C2311yescharacteristic
468C4⋊C8×C47C2311yescharacteristic
469C4⋊C8×C47C2311yescharacteristic
470#103×C47C2311yescharacteristic
471#103×C47C2311yescharacteristic
472#103×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#102×C47C2311yescharacteristic
476#97×C47C2311yescharacteristic
477#97×C47C2311yescharacteristic
478C4×C8×C47C2311yescharacteristic
479C23×D47—21no—
480C2×Q8×C47—21no—
481C2×Q8×C47—21no—
482C2×Q8×C47C2×D411yescharacteristic
483C2×Q8×C47C2411yescharacteristic
484C2×D4×C47C2411yescharacteristic
485C22×C4×C47—21no—
486C22×C4×C47—21no—
487C22×C4×C47—21no—
488C2×C22⋊D47—21no—
489C22×Dic47—21no—
490C22×Dic47—21no—
491C22×Dic47—21no—
492Q8×D47—22no—
493Q8×D47—82no—
494Q8×D47C2×Q814yescomplemented
495D4×D47—22no—
496D4×D47C2×Q814yes—
497C2×D188C2411yescharacteristic
498C2×C4×D47—21no—
499C2×C4×D47—21no—
500C2×C4×D47—21no—
501C2×C4×D47—21no—
502C2×C4×D47—21no—
503C2×C4×D47—21no—
504C2×C4×D47—21no—
505C2×C4×D47—21no—
506C2×C4×D47—21no—
507C2×C4×D47—82no—
508C2×C4×D47C2×D411yescharacteristic
509C2×C4×D47C2×D411yescharacteristic
510C2×C4×D47C2411yescharacteristic
511C2×Dic94—21no—
512C2×Dic94—21no—
513C2×Dic94—21no—
514C2×Dic94—21no—
515C2×Dic94—21no—
516C2×Dic94—21no—
517C2×Dic94—21no—
518C2×Dic94—21no—
519C2×Dic94—21no—
520C2×Dic94—21no—
521C2×Dic94—21no—
522C2×Dic94—82no—
523C2×Dic94C2×D411yescharacteristic
524C2×Dic94C2×D411yescharacteristic
525C2×Dic94C2×D411yescharacteristic
526C2×Dic94C2411yescharacteristic
527SD16×C47C2×Q814yescomplemented
528C2×C8×C47C2411yescharacteristic
529C2×C8×C47C2411yescharacteristic
530C2×C8×C47C2411yescharacteristic
531C2×C8×C47C2411yescharacteristic
532C4⋊C4×C47—21no—
533C4⋊C4×C47—21no—
534C4⋊C4×C47—21no—
535C4⋊C4×C47—21no—
536C4⋊C4×C47—21no—
537C4⋊C4×C47—21no—
538C4⋊C4×C47—21no—
539C4⋊C4×C47—21no—
540C4⋊C4×C47—21no—
541C4⋊C4×C47—21no—
542C4⋊C4×C47—21no—
543C4⋊C4×C47—21no—
544C4⋊C4×C47—21no—
545C4⋊C4×C47C2×D411yescharacteristic
546C4⋊C4×C47C2×D411yescharacteristic
547C4⋊C4×C47C2×D411yescharacteristic
548C4⋊C4×C47C2411yescharacteristic
549C4⋊C4×C47C2411yescharacteristic
550C4⋊C4×C47C2411yescharacteristic
551C4⋊C4×C47C2411yescharacteristic
552C4⋊C4×C47C2411yescharacteristic
553C4⋊C4×C47C2411yescharacteristic
554C22⋊C4×C47—21no—
555C22⋊C4×C47—21no—
556C22⋊C4×C47—21no—
557C42×C47—21no—
558C42×C47—21no—
559C42×C47—21no—
560C42×C47C2411yescharacteristic
561C42×C47C2411yescharacteristic
562C42×C47C2411yescharacteristic
563C22⋊Dic47—21no—
564C22⋊Dic47—21no—
565C22⋊Dic47—21no—
566#10625336C2×Q814yescomplemented
567#10625335C2×Q814yescomplemented
568(C2×D47)⋊C4—21no—
569(C2×D47)⋊C4—21no—
570(C2×D47)⋊C4—21no—
571(C2×D47)⋊C4—21no—
572(C2×D47)⋊C4—21no—
573(C2×D47)⋊C4—21no—
574(C2×D47)⋊C4—21no—
575(C2×D47)⋊C4—21no—
576(C2×D47)⋊C4—21no—
577(C2×D47)⋊C4—21no—
578(C2×D47)⋊C4C2×D411yescharacteristic
579(C2×D47)⋊C4C2×D411yescharacteristic
580(C2×D47)⋊C4C2×D411yescharacteristic
581(C2×D47)⋊C4C2×D411yescharacteristic
582C4⋊Dic47—21no—
583C4⋊Dic47—21no—
584C4⋊Dic47—21no—
585C4⋊Dic47—21no—
586C4⋊Dic47—21no—
587C4⋊Dic47—21no—
588C4⋊Dic47—21no—
589C4⋊Dic47—21no—
590C4⋊Dic47—21no—
591C4⋊Dic47C2×D411yescharacteristic
592C4⋊Dic47C2×D411yescharacteristic
593C4⋊Dic47C2×D411yescharacteristic
594C4⋊Dic47C2411yescharacteristic
595C4⋊Dic47C2411yescharacteristic
596C4⋊Dic47C2411yescharacteristic
597C4⋊Dic47C2411yescharacteristic
598C4⋊Dic47C2411yescharacteristic
599C4⋊Dic47C2411yescharacteristic
600Dic47⋊C4—21no—
601Dic47⋊C4—21no—
602Dic47⋊C4—21no—
603Dic47⋊C4—21no—
604Dic47⋊C4—21no—
605Dic47⋊C4—21no—
606Dic47⋊C4—21no—
607Dic47⋊C4—21no—
608Dic47⋊C4—21no—
609Dic47⋊C4—21no—
610Dic47⋊C4—21no—
611Dic47⋊C4—21no—
612Dic47⋊C4—21no—
613Dic47⋊C4—21no—
614Dic47⋊C4—21no—
615Dic47⋊C4—21no—
616Dic47⋊C4—21no—
617Dic47⋊C4—21no—
618Dic47⋊C4—21no—
619Dic47⋊C4—21no—
620Dic47⋊C4—21no—
621Dic47⋊C4—21no—
622Dic47⋊C4—21no—
623Dic47⋊C4—21no—
624Dic47⋊C4—21no—
625Dic47⋊C4—21no—
626Dic47⋊C4—21no—
627Dic47⋊C4—21no—
628Dic47⋊C4C2×D411yescharacteristic
629Dic47⋊C4C2×D411yescharacteristic
630Dic47⋊C4C2×D411yescharacteristic
631Dic47⋊C4C2×D411yescharacteristic
632Dic47⋊C4C2×D411yescharacteristic
633Dic47⋊C4C2×D411yescharacteristic
634Dic47⋊C4C2×D411yescharacteristic
635Dic47⋊C4C2×D411yescharacteristic
636Dic47⋊C4C2×D411yescharacteristic
637Dic47⋊C4C2×D411yescharacteristic
638C4×Dic47—21no—
639C4×Dic47—21no—
640C4×Dic47—21no—
641C4×Dic47—21no—
642C4×Dic47—21no—
643C4×Dic47—21no—
644C4×Dic47—21no—
645C4×Dic47—21no—
646C4×Dic47—21no—
647C4×Dic47—21no—
648C4×Dic47—21no—
649C4×Dic47—21no—
650C4×Dic47—21no—
651C4×Dic47C2×D411yescharacteristic
652C4×Dic47C2×D411yescharacteristic
653C4×Dic47C2411yescharacteristic
654C4×Dic47C2411yescharacteristic
655C4×Dic47C2411yescharacteristic
656C2×C47⋊C8C2411yescharacteristic
657C2×C47⋊C8C2411yescharacteristic
658C2×C47⋊C8C2411yescharacteristic
659C2×C47⋊C8C2411yescharacteristic
660#10625325C2×Q814yescomplemented
661#10625324—22no—
662#10625324—22no—
663C8×D47—22no—
664C8×D47C2×Q814yescomplemented
665C23×C47—21no—
666C22×D47—21no—
667C22×D47—24no—
668C22×D47—81no—
669C22×D47—81no—
670C22×D47C22×D411yescharacteristic
671Q8×C47—21no—
672Q8×C47—41no—
673Q8×C47—81no—
674Q8×C47—81no—
675Q8×C47C22×Q812yes—
676D4×C47—21no—
677D4×C47C22×Q812yes—
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—21no—
685C2×C4×C47—81no—
686C2×C4×C47—81no—
687C2×C4×C47—81no—
688C2×C4×C47C22×D411yescharacteristic
689C2×C4×C47C22×D411yescharacteristic
690C2×C4×C47C22×D411yescharacteristic
691C2×C4×C47C22×D411yescharacteristic
692C2×C4×C47C22×D411yescharacteristic
693C2×C4×C47C22×D411yescharacteristic
694C2×C4×C47C2511yescharacteristic
695C22⋊D47—24no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—42no—
704C2×Dic47—81no—
705C2×Dic47—81no—
706C2×Dic47C22×D411yescharacteristic
707C2×Dic47C22×D411yescharacteristic
708C2×Dic47C22×D411yescharacteristic
709C2×Dic47C22×D411yescharacteristic
710C2×Dic47C22×D411yescharacteristic
711C2×Dic47C22×D411yescharacteristic
712C2×Dic47C22×D411yescharacteristic
713D188—21no—
714D188C22×Q812yes—
715C4×D47—24no—
716C4×D47—22no—
717C4×D47—41no—
718C4×D47—42no—
719C4×D47—81no—
720C4×D47—81no—
721C4×D47—81no—
722C4×D47—81no—
723C4×D47—81no—
724C4×D47—81no—
725C4×D47—81no—
726C4×D47C22×Q812yes—
727C4×D472−1+412yes—
728Dic94—21no—
729Dic94—24no—
730Dic94—22no—
731Dic94—22no—
732Dic94—41no—
733Dic94—42no—
734Dic94—42no—
735Dic94—81no—
736Dic94—81no—
737Dic94—81no—
738Dic94—81no—
739Dic94—81no—
740Dic94—81no—
741Dic94—81no—
742Dic94—81no—
743Dic94C22×Q812yes—
744C8×C47—21no—
745C8×C47—21no—
746C8×C47—21no—
747C8×C47C22×Q812yes—
748C47⋊C8—21no—
749C47⋊C8—21no—
750C47⋊C8—21no—
751C47⋊C8C22×Q812yes—
752#61371—471nomaximal, Sylow
753C22×C47—22no—
754C22×C47—41no—
755C22×C47—41no—
756C22×C47C23×D411yescharacteristic
757C2×D47—21no—
758C2×D47—21no—
759C2×D47—22no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—84no—
763C2×D47D4×Q812yes—
764C4×C47—21no—
765C4×C47—21no—
766C4×C47—21no—
767C4×C47—22no—
768C4×C47—21no—
769C4×C47—21no—
770C4×C47—21no—
771C4×C47—41no—
772C4×C47—41no—
773C4×C47—41no—
774C4×C47—41no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47C23×Q811yescharacteristic
778C4×C47C2×2−1+411yescharacteristic
779Dic47—21no—
780Dic47—21no—
781Dic47—21no—
782Dic47—22no—
783Dic47—21no—
784Dic47—21no—
785Dic47—41no—
786Dic47—41no—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791Dic47D4×Q812yes—
792Dic47#57712yes—
793#3502—471no—
794#3501—471no—
795#3388—471no—
796#3388—471no—
797#3388—471no—
798#3388D4711yescharacteristic, complemented
799#3386—471no—
800#3386—471no—
801#3385—471no—
802#3385—471no—
803#3381—471no—
804#3381—471no—
805#3381—471no—
806#3381—471no—
807#3381—471no—
808#3381—471no—
809Q8×SD16—471no—
810Q8×SD16—471no—
811#3163—471no—
812#3163—471no—
813#3160—471no—
814#3082—471no—
815#3082—471no—
816#3081—471no—
817#3081—471no—
818#3078—471no—
819#3077—471no—
820#2960—471no—
821#2949—471no—
822#2949—471no—
823C2×C4×SD16—471no—
824C2×C47—42no—
825C2×C47C2×D4×Q811yescharacteristic
826C2×C47C2×#57711yescharacteristic
827C2×C47#358411yescharacteristic
828D47—22no—
829D47—42no—
830C22×SD16—471no—
831Q82—471no—
832Q82—471no—
833Q82—941no—
834#557—471no—
835#557—471no—
836#557—471no—
837#557—471no—
838#557—471no—
839#557—941no—
840#557—941no—
841#557—941no—
842#557C2×D4711yescharacteristic, complemented
843#554—471no—
844#554—471no—
845#554—471no—
846#554—471no—
847#554—471no—
848#554—941no—
849#554—941no—
850#554—941no—
851#554C2×D4711yescharacteristic
852D4×Q8—471no—
853D4×Q8—471no—
854D4×Q8—941no—
855#544—471no—
856#544—471no—
857#544—471no—
858#544—471no—
859#544—941no—
860#544—941no—
861#543—941no—
862#543—941no—
863#533—471no—
864#533—471no—
865#533—471no—
866#533—941no—
867#533—941no—
868C2×C22⋊Q8—941no—
869C2×C22⋊Q8—941no—
870#519—471no—
871#519—471no—
872#518—471no—
873#518—471no—
874C2×C4×Q8—471no—
875C2×C4×D4—471no—
876#501—471no—
877#501—471no—
878#501—471no—
879#501—471no—
880#501—471no—
881#501—471no—
882#501C2×D4711yescharacteristic, complemented
883#501C2×D4711yescharacteristic, complemented
884#500—471no—
885#500—471no—
886#499—471no—
887#499—471no—
888#499—471no—
889#499—471no—
890#499—471no—
891#499—471no—
892#499—471no—
893#499C2×D4711yescharacteristic, complemented
894#498—471no—
895#498—471no—
896#498—471no—
897#498—471no—
898#498—471no—
899#498—471no—
900#479—471no—
901#479—471no—
902#479—471no—
903#479—471no—
904#479—471no—
905#479—471no—
906#479—471no—
907#479—471no—
908#479—471no—
909#479—471no—
910#479C2×D4711yescharacteristic, complemented
911#479C2×D4711yescharacteristic, complemented
912#478—471no—
913#478—471no—
914#478—471no—
915#478—471no—
916#478—471no—
917#478—471no—
918#478—471no—
919#478—471no—
920#478—471no—
921#478—471no—
922#478C2×D4711yescharacteristic
923#478C2×D4711yescharacteristic
924#477—471no—
925#477—471no—
926#477—471no—
927#477—471no—
928#477—471no—
929#477—471no—
930#476—471no—
931#476—471no—
932#476—471no—
933#476—471no—
934#476—471no—
935#476C2×D4711yescharacteristic
936#475—471no—
937#475—471no—
938#475—471no—
939#475—471no—
940#475—471no—
941#475C2×D4711yescharacteristic, complemented
942#474—471no—
943#474—471no—
944#474—471no—
945#474—471no—
946#474—471no—
947#474—471no—
948#446—471no—
949#446—471no—
950#446—471no—
951#446C2×D4711yescharacteristic, complemented
952C8×Q8—471no—
953C8×Q8—471no—
954C8×Q8—471no—
955C8×Q8—471no—
956#440—471no—
957#440—471no—
958#440—471no—
959#440—471no—
960#440—471no—
961#440—471no—
962#440C2×D4711yescharacteristic
963#440C2×D4711yescharacteristic
964C4×SD16—471no—
965C4×SD16—471no—
966C4×SD16—471no—
967C4×SD16—471no—
968C4×SD16—471no—
969C4×SD16—471no—
970C4×SD16—471no—
971C4×SD16—471no—
972C4×SD16—471no—
973C4×SD16—471no—
974C4×SD16—471no—
975C4×SD16—471no—
976C4×SD16—471no—
977C4×SD16—471no—
978C4×SD16—471no—
979C4×SD16C2×D4711yescharacteristic
980#428—471no—
981#428—471no—
982#428—471no—
983#428—471no—
984#427—471no—
985#427—471no—
986#427—471no—
987#427—471no—
988C2×#106—471no—
989#424—471no—
990#424—471no—
991#423—471no—
992#419—471no—
993#419—471no—
994#418—471no—
995#418—471no—
996C2×#103—471no—
997C2×#102—471no—
998#405—471no—
999#405—471no—
1000C2×C4×C8—471no—
1001C47#6137111yescharacteristic, complemented, Sylow
1002C22×Q8—471no—
1003C22×Q8—941no—
1004C22×Q8—941no—
1005C22×D4—471no—
1006C23×C4—941no—
1007C2×SD16—471no—
1008C2×SD16—471no—
1009C2×SD16—478no—
1010C2×SD16—471no—
1011C2×SD16C22×D4711yescharacteristic
1012C2×M16—471no—
1013C2×M16—471no—
1014C22×C8—471no—
1015C22×C8—471no—
1016C4⋊Q8—21no—
1017C4⋊Q8—471no—
1018C4⋊Q8—471no—
1019C4⋊Q8—471no—
1020C4⋊Q8—471no—
1021C4⋊Q8—471no—
1022C4⋊Q8—471no—
1023C4⋊Q8—471no—
1024C4⋊Q8—471no—
1025C4⋊Q8—471no—
1026C4⋊Q8—471no—
1027C4⋊Q8—471no—
1028C4⋊Q8—471no—
1029C4⋊Q8—941no—
1030C4⋊Q8—941no—
1031C4⋊Q8—941no—
1032C4⋊Q8—941no—
1033C4⋊Q8—941no—
1034C4⋊Q8—941no—
1035C4⋊Q8—941no—
1036C4⋊Q8—941no—
1037C4⋊Q8—941no—
1038C4⋊Q8—941no—
1039C4⋊Q8—941no—
1040C4⋊Q8—941no—
1041C4⋊Q8—941no—
1042C4⋊Q8—941no—
1043C4⋊Q8—941no—
1044C4⋊Q8C22×D4711yescharacteristic
1045C4⋊Q8C22×D4711yescharacteristic
1046#125—21no—
1047#125—21no—
1048#125—471no—
1049#125—471no—
1050#125—471no—
1051#125—471no—
1052#125—471no—
1053#125—471no—
1054#125—471no—
1055#125—471no—
1056#125—471no—
1057#125—471no—
1058#125—941no—
1059#125—941no—
1060#125—941no—
1061#125—941no—
1062#125—941no—
1063#125—941no—
1064#125—941no—
1065#125—941no—
1066#125—941no—
1067#125—941no—
1068#125—941no—
1069#125—941no—
1070#125—941no—
1071#125—941no—
1072#125C22×D4711yescharacteristic
1073#125C22×D4711yescharacteristic
1074#125C22×D4711yescharacteristic
1075#125C22×D4711yescharacteristic
1076C22⋊Q8—21no—
1077C22⋊Q8—21no—
1078C22⋊Q8—21no—
1079C22⋊Q8—471no—
1080C22⋊Q8—471no—
1081C22⋊Q8—471no—
1082C22⋊Q8—471no—
1083C22⋊Q8—941no—
1084C22⋊Q8—941no—
1085C22⋊Q8—941no—
1086C22⋊Q8—941no—
1087C22⋊Q8—941no—
1088C22⋊Q8—941no—
1089C22⋊Q8—941no—
1090C22⋊Q8—941no—
1091C22⋊Q8—941no—
1092C22⋊Q8—941no—
1093C22⋊Q8—941no—
1094C22⋊Q8—941no—
1095C22⋊Q8—941no—
1096C22⋊Q8—941no—
1097C22⋊Q8—941no—
1098C22⋊Q8—941no—
1099C22⋊Q8—941no—
1100C22⋊Q8—941no—
1101C22⋊Q8—941no—
1102C22⋊Q8—941no—
1103C22⋊Q8—941no—
1104C22⋊Q8—941no—
1105C22⋊Q8—941no—
1106C22⋊Q8—941no—
1107C22⋊Q8—941no—
1108C22⋊Q8—941no—
1109C22⋊Q8—941no—
1110C22⋊Q8—941no—
1111C22⋊Q8—941no—
1112C22⋊Q8—941no—
1113C22⋊Q8—941no—
1114C22⋊Q8—941no—
1115C22⋊Q8—941no—
1116C4×Q8—21no—
1117C4×Q8—471no—
1118C4×Q8—471no—
1119C4×Q8—471no—
1120C4×Q8—471no—
1121C4×Q8—471no—
1122C4×Q8—471no—
1123C4×Q8—471no—
1124C4×Q8—471no—
1125C4×Q8—471no—
1126C4×Q8—471no—
1127C4×Q8—471no—
1128C4×Q8—471no—
1129C4×Q8—941no—
1130C4×Q8—941no—
1131C4×Q8—941no—
1132C4×Q8—941no—
1133C4×Q8—941no—
1134C4×Q8—941no—
1135C4×Q8—941no—
1136C4×Q8—941no—
1137C4×Q8—941no—
1138C4×Q8—941no—
1139C4×Q8—941no—
1140C4×Q8—941no—
1141C4×Q8—941no—
1142C4×Q8—941no—
1143C4×Q8—941no—
1144C4×Q8—941no—
1145C4×Q8—941no—
1146C4×Q8C22×D4711yescharacteristic
1147C4×Q8C22×D4711yescharacteristic
1148C4×Q8C22×D4711yescharacteristic
1149C4×Q8C22×D4711yescharacteristic
1150C4×D4—471no—
1151C4×D4—471no—
1152C4×D4—471no—
1153C4×D4—471no—
1154C4×D4—471no—
1155C4×D4—471no—
1156C4×D4—471no—
1157C4×D4—471no—
1158C4×D4—471no—
1159C4×D4—941no—
1160C4×D4—941no—
1161C4×D4—941no—
1162C4×D4—941no—
1163C4×D4—941no—
1164C4×D4—941no—
1165C4×D4C22×D4711yescharacteristic
1166C4×D4C22×D4711yescharacteristic
1167C4×D4C22×D4711yescharacteristic
1168#117—471no—
1169#117—471no—
1170#117—471no—
1171#117—471no—
1172#117—471no—
1173#117—471no—
1174#117—941no—
1175#117—941no—
1176#117—941no—
1177#117—941no—
1178C2×C4⋊C4—21no—
1179C2×C4⋊C4—471no—
1180C2×C4⋊C4—471no—
1181C2×C4⋊C4—941no—
1182C2×C4⋊C4—941no—
1183C2×C4⋊C4—941no—
1184C2×C4⋊C4—941no—
1185C2×C4⋊C4—941no—
1186C2×C4⋊C4—941no—
1187C2×C22⋊C4—941no—
1188C2×C22⋊C4—941no—
1189C2×C22⋊C4—941no—
1190C2×C22⋊C4—941no—
1191C2×C22⋊C4—941no—
1192C2×C42—471no—
1193C2×C42—941no—
1194#107—471no—
1195#107—471no—
1196#107—471no—
1197#107—471no—
1198#107—471no—
1199#107—471no—
1200#107—471no—
1201#107—471no—
1202#107—471no—
1203#107—471no—
1204#107—471no—
1205#107—471no—
1206#107C22×D4711yescharacteristic
1207#107C22×D4711yescharacteristic
1208#107C22×D4711yescharacteristic
1209#107C22×D4711yescharacteristic
1210#106—471no—
1211#106—471no—
1212#106—471no—
1213#106—471no—
1214#106—471no—
1215#106—471no—
1216#106—471no—
1217#106—471no—
1218#106—471no—
1219#106—471no—
1220#106—471no—
1221#106—471no—
1222#106—471no—
1223#106—471no—
1224#106—471no—
1225#106C22×D4711yescharacteristic
1226#106C22×D4711yescharacteristic
1227#106C22×D4711yescharacteristic
1228#106C22×D4711yescharacteristic
1229#106C22×D4711yescharacteristic
1230C4⋊C8—471no—
1231C4⋊C8—471no—
1232C4⋊C8—471no—
1233C4⋊C8—471no—
1234C4⋊C8—471no—
1235C4⋊C8—471no—
1236C4⋊C8—471no—
1237C4⋊C8—471no—
1238C4⋊C8—471no—
1239C4⋊C8C22×D4711yescharacteristic
1240C4⋊C8C22×D4711yescharacteristic
1241C4⋊C8C22×D4711yescharacteristic
1242#103—471no—
1243#103—471no—
1244#103—471no—
1245#103—471no—
1246#103—471no—
1247#103—471no—
1248#103—471no—
1249#103—471no—
1250#103—471no—
1251#103C22×D4711yescharacteristic
1252#103C22×D4711yescharacteristic
1253#103C22×D4711yescharacteristic
1254#102—471no—
1255#102—471no—
1256#102—471no—
1257#102—471no—
1258#102—471no—
1259#102—471no—
1260#102—471no—
1261#102—471no—
1262#102—471no—
1263#102C22×D4711yescharacteristic
1264#102C22×D4711yescharacteristic
1265#102C22×D4711yescharacteristic
1266#97—471no—
1267#97—471no—
1268#97C22×D4711yescharacteristic
1269#97C22×D4711yescharacteristic
1270C4×C8—471no—
1271C4×C8—471no—
1272C4×C8—471no—
1273C4×C8—471no—
1274C4×C8—471no—
1275C4×C8—471no—
1276C4×C8—471no—
1277C4×C8C22×D4711yescharacteristic
1278C24—941no—
1279C2×Q8—21no—
1280C2×Q8—21no—
1281C2×Q8—471no—
1282C2×Q8—471no—
1283C2×Q8—471no—
1284C2×Q8—474no—
1285C2×Q8—471no—
1286C2×Q8—941no—
1287C2×Q8—941no—
1288C2×Q8—941no—
1289C2×Q8—941no—
1290C2×Q8—941no—
1291C2×Q8—941no—
1292C2×Q8—941no—
1293C2×Q8—941no—
1294C2×Q8—941no—
1295C2×Q8—942no—
1296C2×Q8—941no—
1297C2×Q8—941no—
1298C2×Q8—3762no—
1299C2×Q8—3762no—
1300C2×Q8D4×D4711yescharacteristic
1301C2×Q8C23×D4711yescharacteristic
1302C2×D4—474no—
1303C2×D4—471no—
1304C2×D4—942no—
1305C2×D4—941no—
1306C2×D4C23×D4711yescharacteristic
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—471no—
1311C22×C4—471no—
1312C22×C4—471no—
1313C22×C4—941no—
1314C22×C4—941no—
1315C22×C4—941no—
1316C22×C4—941no—
1317C22×C4—941no—
1318C22×C4—941no—
1319C22×C4—941no—
1320C22×C4—941no—
1321C22×C4—941no—
1322C22×C4—941no—
1323C22×C4—941no—
1324C22×C4—941no—
1325C22×C4—3762no—
1326SD16—474no—
1327SD16—474no—
1328SD16—474no—
1329SD16Q8×D4714yescomplemented
1330M16—942no—
1331M16—942no—
1332C2×C8—471no—
1333C2×C8—474no—
1334C2×C8—471no—
1335C2×C8—471no—
1336C2×C8—471no—
1337C2×C8—942no—
1338C2×C8C23×D4711yescharacteristic
1339C2×C8C23×D4711yescharacteristic
1340C2×C8C23×D4711yescharacteristic
1341C2×C8C23×D4711yescharacteristic
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—471no—
1356C4⋊C4—471no—
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—941no—
1375C4⋊C4—941no—
1376C4⋊C4—941no—
1377C4⋊C4—941no—
1378C4⋊C4—941no—
1379C4⋊C4—941no—
1380C4⋊C4—941no—
1381C4⋊C4—941no—
1382C4⋊C4—941no—
1383C4⋊C4—941no—
1384C4⋊C4—941no—
1385C4⋊C4—941no—
1386C4⋊C4—941no—
1387C4⋊C4—941no—
1388C4⋊C4—941no—
1389C4⋊C4—941no—
1390C4⋊C4—941no—
1391C4⋊C4—941no—
1392C4⋊C4—941no—
1393C4⋊C4—941no—
1394C4⋊C4—941no—
1395C4⋊C4—941no—
1396C4⋊C4—941no—
1397C4⋊C4—941no—
1398C4⋊C4—941no—
1399C4⋊C4—941no—
1400C4⋊C4—941no—
1401C4⋊C4—941no—
1402C4⋊C4—941no—
1403C4⋊C4—941no—
1404C4⋊C4—941no—
1405C4⋊C4—941no—
1406C4⋊C4—941no—
1407C4⋊C4—941no—
1408C4⋊C4—941no—
1409C4⋊C4—941no—
1410C4⋊C4—941no—
1411C4⋊C4D4×D4711yescharacteristic
1412C4⋊C4D4×D4711yescharacteristic
1413C4⋊C4D4×D4711yescharacteristic
1414C4⋊C4C23×D4711yescharacteristic
1415C4⋊C4C23×D4711yescharacteristic
1416C4⋊C4C23×D4711yescharacteristic
1417C4⋊C4C23×D4711yescharacteristic
1418C4⋊C4C23×D4711yescharacteristic
1419C4⋊C4C23×D4711yescharacteristic
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—21no—
1423C22⋊C4—471no—
1424C22⋊C4—471no—
1425C22⋊C4—471no—
1426C22⋊C4—471no—
1427C22⋊C4—941no—
1428C22⋊C4—941no—
1429C22⋊C4—941no—
1430C22⋊C4—941no—
1431C22⋊C4—941no—
1432C22⋊C4—941no—
1433C22⋊C4—941no—
1434C22⋊C4—941no—
1435C22⋊C4—941no—
1436C22⋊C4—941no—
1437C22⋊C4—941no—
1438C22⋊C4—941no—
1439C22⋊C4—941no—
1440C42—21no—
1441C42—21no—
1442C42—21no—
1443C42—471no—
1444C42—471no—
1445C42—471no—
1446C42—471no—
1447C42—471no—
1448C42—941no—
1449C42—941no—
1450C42—941no—
1451C42—941no—
1452C42—941no—
1453C42—941no—
1454C42—941no—
1455C42—941no—
1456C42—941no—
1457C42—941no—
1458C42—941no—
1459C42—941no—
1460C42—941no—
1461C42C23×D4711yescharacteristic
1462C42C23×D4711yescharacteristic
1463C42C23×D4711yescharacteristic
1464C23—21no—
1465C23—471no—
1466C23—944no—
1467C23—941no—
1468C23—3761no—
1469C23—3761no—
1470Q8—21no—
1471Q8—41no—
1472Q8—81no—
1473Q8—81no—
1474Q8—472no—
1475Q8—944no—
1476Q8—942no—
1477Q8—942no—
1478Q8—941no—
1479Q8—3761no—
1480Q8—3761no—
1481Q8—3761no—
1482Q8—3761no—
1483Q8—3761no—
1484Q8—3761no—
1485Q8—3761no—
1486Q8—3761no—
1487Q8—1881no—
1488Q8—1882no—
1489Q8—1882no—
1490Q8C2×Q8×D4712yes—
1491D4—21no—
1492D4—472no—
1493D4—944no—
1494D4—941no—
1495D4C2×Q8×D4712yes—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—81no—
1504C2×C4—81no—
1505C2×C4—81no—
1506C2×C4—471no—
1507C2×C4—471no—
1508C2×C4—472no—
1509C2×C4—472no—
1510C2×C4—471no—
1511C2×C4—471no—
1512C2×C4—471no—
1513C2×C4—471no—
1514C2×C4—471no—
1515C2×C4—942no—
1516C2×C4—944no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—3761no—
1525C2×C4—3761no—
1526C2×C4—3761no—
1527C2×C4—3761no—
1528C2×C4—3761no—
1529C2×C4—3761no—
1530C2×C4—3761no—
1531C2×C4—3761no—
1532C2×C4—3761no—
1533C2×C4—1881no—
1534C2×C4—1882no—
1535C2×C4—1882no—
1536C2×C4C2×D4×D4711yescharacteristic
1537C2×C4C2×D4×D4711yescharacteristic
1538C2×C4C2×D4×D4711yescharacteristic
1539C2×C4C2×D4×D4711yescharacteristic
1540C2×C4C2×D4×D4711yescharacteristic
1541C2×C4C2×D4×D4711yescharacteristic
1542C2×C4C24×D4711yescharacteristic
1543C8—21no—
1544C8—21no—
1545C8—21no—
1546C8—472no—
1547C8—941no—
1548C8—941no—
1549C8—941no—
1550C8C2×Q8×D4712yes—
1551C22—22no—
1552C22—41no—
1553C22—41no—
1554C22—472no—
1555C22—941no—
1556C22—941no—
1557C22—942no—
1558C22—3764no—
1559C22—1881no—
1560C22—1881no—
1561C22C22×D4×D4711yescharacteristic
1562C4—22no—
1563C4—21no—
1564C4—21no—
1565C4—21no—
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—472no—
1576C4—472no—
1577C4—942no—
1578C4—941no—
1579C4—941no—
1580C4—941no—
1581C4—941no—
1582C4—941no—
1583C4—1881no—
1584C4—1881no—
1585C4—1881no—
1586C4—1881no—
1587C4—1881no—
1588C4—1881no—
1589C4C22×Q8×D4711yescharacteristic
1590C42−1+4×D4711yescharacteristic
1591C2—42no—
1592C2—942no—
1593C2—1882no—
1594C2D4×Q8×D4711yescharacteristic
1595C2#577×D4711yescharacteristic
1596C2#2025816111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3388C2
socleC22×C47C23×D4
prime radicalC2×D4×D47C23
hypercenter#3388D47
hypocenterC47#61371
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3388

Complements

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

NH ≅ G/Ntype
1. #20257195C2semidirect
3. #20256339C2semidirect
4. #20256335C2semidirect
5. #20256329C2semidirect
6. #20256310C2semidirect
7. #20256306C2semidirect
8. #20256299C2semidirect
9. #20256295C2semidirect
10. #20256266C2semidirect
11. #20256266C2semidirect
12. #20256263C2semidirect
13. #20256259C2semidirect
14. #20256258C2semidirect
15. #20256258C2semidirect
16. #20256247C2semidirect
17. #20256243C2semidirect
18. #20253915C2semidirect
19. #20253915C2semidirect
20. #20253901C2semidirect
21. #20253227C2semidirect
22. #20253223C2semidirect
25. #20253191C2semidirect
27. #20252319C2semidirect
31. C47×#3388C2semidirect
33. Q8×Dic94C22semidirect
35. #15689853C22semidirect
37. #15689851C22semidirect
40. #15689850C22semidirect
41. #15689850C22semidirect
42. #15689849C22semidirect
43. #15689849C22semidirect
76. #15689532C22semidirect
77. #15689532C22semidirect
78. #15689531C22semidirect
79. #15689531C22semidirect
80. #15689530C22semidirect
81. #15689530C22semidirect
82. #15689527C22semidirect
83. #15689527C22semidirect
84. #15689525C22semidirect
85. #15689524C22semidirect
86. #15689524C22semidirect
87. #15689522C22semidirect
88. #15689522C22semidirect
89. #15689522C22semidirect
90. #15689522C22semidirect
91. #15689520C22semidirect
92. #15689520C22semidirect
93. #15689520C22semidirect
94. #15689520C22semidirect
95. #15689519C22semidirect
96. #15689519C22semidirect
97. #15689433C22semidirect
98. #15689433C22semidirect
99. #15689431C22semidirect
100. #15689431C22semidirect
101. #15689430C22semidirect
102. #15689430C22semidirect
103. #15689428C22semidirect
104. #15689428C22semidirect
105. #15689427C22semidirect
106. #15689427C22semidirect
117. #15689418C22semidirect
118. #15689417C22semidirect
119. #15689417C22semidirect
120. #15689416C22semidirect
121. #15689416C22semidirect
122. #15689415C22semidirect
128. #15689409C22semidirect
129. #15689407C22semidirect
130. #15689407C22semidirect
131. #15689406C22semidirect
132. #15689406C22semidirect
139. #15689253C22semidirect
140. #15689251C22semidirect
141. #15689251C22semidirect
142. Q8×C47⋊C8C22semidirect
143. #15689247C22semidirect
144. #15689247C22semidirect
145. #15689247C22semidirect
188. C47×#557C22semidirect
190. C47×#501C22semidirect
191. C47×#501C22semidirect
192. C47×#499C22semidirect
193. C47×#479C22semidirect
194. C47×#479C22semidirect
198. C47×#475C22semidirect
199. C47×#446C22semidirect
211. SD16×D47Q8semidirect
494. Q8×D47C2×Q8semidirect
527. SD16×C47C2×Q8semidirect
566. #10625336C2×Q8semidirect
567. #10625335C2×Q8semidirect
660. #10625325C2×Q8semidirect
664. C8×D47C2×Q8semidirect
798. #3388D47semidirect
842. #557C2×D47semidirect
882. #501C2×D47semidirect
883. #501C2×D47semidirect
893. #499C2×D47semidirect
910. #479C2×D47semidirect
911. #479C2×D47semidirect
941. #475C2×D47semidirect
951. #446C2×D47semidirect
1001. C47#61371semidirect
1329. SD16Q8×D47semidirect

Maximal subgroups

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

subgroupindex
#202571952
#202571872
#202563392
#202563352
#202563292
#202563102
#202563062
#202562992
#202562952
#202562662
#202562632
#202562592
#202562582
#202562472
#202562432
#202539152
#202539012
#202532272
#202532232
#202532182
#202532142
#202531912
#202531832
#202523192
#202522442
C4×SD16×D472
C47×#33882
#6137147