Finite Group Databasebeta

← #27124513

Subgroups — #27124513

Order 12032.

7094 conjugacy classes of subgroups.

The subgroup lattice has 1506 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257480C214yesmaximal, complemented
2#20257469C214yesmaximal, complemented
3#20257379C214yesmaximal, complemented
4#20257375C214yesmaximal, complemented
5#20257252C212yesmaximal, complemented
6#20257248C214yesmaximal, complemented
7#20257196C211yesmaximal, characteristic, complemented
8#20257157C211yesmaximal, characteristic, complemented
9#20257098C211yesmaximal, characteristic, complemented
10#20257095C211yesmaximal, characteristic, complemented
11#20257093C214yesmaximal, complemented
12#20257037C212yesmaximal, complemented
13#20257006C214yesmaximal, complemented
14#20257001C214yesmaximal, complemented
15#20256979C214yesmaximal, complemented
16#20256966C214yesmaximal, complemented
17#20256821C211yesmaximal, characteristic, complemented
18#20256817C214yesmaximal, complemented
19#20256682C214yesmaximal, complemented
20#20256681C212yesmaximal, complemented
21C4×#13094071C212yesmaximal, complemented
22C2×C4×Q8×D47C211yesmaximal, characteristic, complemented
23C47×#3461C211yesmaximal, characteristic, complemented
24C2×#13094071C2212yes—
25C22×Q8×D47C2211yescharacteristic
26#15689857C2218yescomplemented
27#15689855C2214yescomplemented
28#15689853C2214yescomplemented
29#15689850C2214yescomplemented
30#15689850C2214yescomplemented
31#15689850C2218yescomplemented
32#15689848C2214yescomplemented
33#15689848C2214yescomplemented
34#15689847C2214yescomplemented
35#15689844C2218yescomplemented
36#15689844C2214yescomplemented
37#15689842C2214yescomplemented
38#15689840C2218yescomplemented
39#15689840C2218yescomplemented
40#15689834C2214yes—
41#15689831C2214yes—
42#15689831C2214yescomplemented
43#15689829C2218yes—
44#15689827C2218yes—
45#15689827C2218yescomplemented
46#15689826C2214yes—
47#15689824C2218yes—
48#15689820C2214yes—
49#15689818C2218yes—
50#15689815C2214yescomplemented
51#15689811C2214yes—
52#15689810C2218yescomplemented
53#15689809C2218yes—
54#15689807C2214yes—
55#15689807C2214yescomplemented
56#15689805C2218yes—
57#15689805C2218yescomplemented
58#15689791C2214yescomplemented
59#15689788C2214yes—
60#15689788C2214yes—
61#15689786C2214yes—
62#15689786C2214yes—
63#15689786C2214yescomplemented
64#15689783C2214yes—
65#15689783C2214yes—
66#15689783C2214yescomplemented
67#15689781C2214yes—
68#15689781C2214yes—
69#15689779C2214yescomplemented
70#15689776C2214yes—
71#15689775C2218yes—
72#15689773C2214yes—
73#15689771C2218yes—
74#15689754C2211yescharacteristic
75#15689752C2214yes—
76#15689745C2214yescomplemented
77#15689739C2218yescomplemented
78#15689737C2218yescomplemented
79#15689732C2218yescomplemented
80#15689731C2214yescomplemented
81#15689730C2218yescomplemented
82#15689722C2214yes—
83#15689720C2214yes—
84#15689718C2214yes—
85#15689717C2218yes—
86#15689704C2211yescharacteristic
87#15689700C2214yes—
88#15689697C2212yes—
89#15689695C2218yes—
90#15689679C2214yes—
91#15689677C2212yes—
92#15689677C2212yes—
93#15689677C2214yes—
94#15689677C2218yescomplemented
95#15689677C2214yescomplemented
96#15689676C2212yes—
97#15689676C2218yescomplemented
98#15689675C2214yes—
99#15689672C2214yes—
100#15689670C2212yes—
101#15689670C2212yes—
102#15689670C2214yes—
103#15689669C2212yes—
104#15689668C2214yes—
105#15689660C2212yes—
106#15689660C2212yes—
107#15689660C2214yescomplemented
108#15689658C2214yes—
109#15689657C2214yes—
110#15689656C2218yes—
111#15689656C2218yes—
112#15689655C2212yes—
113#15689655C2212yes—
114#15689653C2214yes—
115#15689653C2214yes—
116#15689653C2218yescomplemented
117#15689652C2214yes—
118#15689651C2214yes—
119#15689651C2214yes—
120#15689651C2218yes—
121#15689651C2218yescomplemented
122#15689650C2218yes—
123#15689636C2214yes—
124#15689635C2212yes—
125#15689633C2214yes—
126#15689632C2214yes—
127#15689632C2214yes—
128#15689631C2218yes—
129#15689630C2212yes—
130#15689606C2212yes—
131#15689603C2212yes—
132#15689603C2214yescomplemented
133#15689602C2218yes—
134#15689602C2214yescomplemented
135#15689600C2212yes—
136#15689600C2214yescomplemented
137#15689599C2214yescomplemented
138C4×#10625354C2214yes—
139C4×#10625350C2212yes—
140C4×#10625350C2214yes—
141C4×#10625350C2214yes—
142C4×#10625350C2214yescomplemented
143#15689591C2218yes—
144C4×#10625352C2218yes—
145C4×#10625352C2214yes—
146C4×#10625352C2214yescomplemented
147C2×Q8×Dic47C2211yescharacteristic
148C2×C4×Dic94C2212yes—
149C2×C4×Dic94C2211yescharacteristic
150C2×C4×Dic94C2214yescomplemented
151C2×#13093989C2211yescharacteristic
152C2×#13093989C2212yes—
153C4×Q8×D47C2214yes—
154C4×Q8×D47C2214yes—
155C4×Q8×D47C2214yes—
156C4×Q8×D47C2214yes—
157C4×Q8×D47C2214yescomplemented
158C2×C4⋊C4×D47C2212yes—
159C2×C4⋊C4×D47C2211yescharacteristic
160C2×C42×D47C2211yescharacteristic
161C2×C42×D47C2212yes—
162C47×#544C2211yescharacteristic
163C47×#542C2214yescomplemented
164C47×#541C2214yescomplemented
165C47×#539C2214yes—
166C47×#537C2211yescharacteristic
167C47×#536C2212yes—
168C47×#533C2214yescomplemented
169C47×#529C2214yes—
170C47×#529C2214yescomplemented
171C4×#41×C47C2212yes—
172C2×C4×Q8×C47C2211yescharacteristic
173#13094071—216no—
174C2×#10625354C2314yes—
175C2×#10625350C2314yes—
176C2×#10625350C2314yes—
177C2×#10625350C2312yes—
178C2×#10625350C2314yes—
179C2×#10625352C2314yes—
180C2×#10625352C2318yes—
181C2×#10625352C2314yes—
182C22×Dic94C2314yes—
183C22×Dic94C2312yes—
184C22×Dic94C2311yescharacteristic
185C2×Q8×D47—28no—
186C2×Q8×D47C2314yes—
187C2×Q8×D47C2314yes—
188C2×Q8×D47C2314yes—
189C22×C4×D47C2311yescharacteristic
190C22×C4×D47C2311yescharacteristic
191C22×C4×D47C2312yes—
192C22×C4×D47C2311yescharacteristic
193C22×C4×D47C2312yes—
194#13094023C2318yes—
195#13094023C2318yes—
196#13094023C2318yes—
197#13094023C2314yes—
198#13094023C2314yes—
199#13094023C2312yes—
200#13094023C2314yes—
201#13094023C2312yes—
202#13094022C2314yes—
203#13094022C2318yes—
204#13094022C2312yes—
205#13094022C2314yes—
206#13094020C2312yes—
207#13094020C2314yes—
208#13094019C2318yes—
209#13094019C2314yes—
210#13094019C2318yes—
211#13094019C2318yes—
212#13094019C2314yes—
213#13094019C2318yes—
214#13094018C2318yes—
215#13094017C2314yes—
216#13094017C2318yes—
217#13094017C2318yes—
218#13094017C2318yes—
219#13094017C2314yes—
220#13094016C2314yes—
221#13094015C2318yes—
222#13094015C2314yes—
223#13094015C2318yes—
224#13094015C2312yes—
225#13094015C2312yes—
226#13094014C2314yes—
227#13094014C2318yes—
228#13094014C2318yes—
229#13094014C2318yes—
230#13094014C2318yes—
231#13094014C2318yes—
232#13094014C2318yes—
233#13094014C2314yes—
234#13094014C2318yes—
235#13094013C2314yes—
236#13094013C2312yes—
237#13094012C2314yes—
238#13094011C2312yes—
239#13094010C2314yes—
240#13094010C2318yes—
241#13094010C2318yes—
242#13094010C2318yes—
243#13094010C2314yes—
244#13094010C2318yes—
245#13094009C2318yes—
246#13094009C2318yes—
247#13094009C2318yes—
248#13094009C2314yes—
249#13094009C2314yes—
250#13094008C2318yes—
251#13094008C2314yes—
252#13094007C2318yes—
253#13094006C2318yes—
254#13094006C2314yes—
255#13094006C2318yes—
256#13094006C2314yes—
257#13094005C2318yes—
258#13094005C2314yes—
259#13094004C2314yes—
260#13094004C2318yes—
261#13094004C2312yes—
262#13094004C2312yes—
263#13094004C2314yes—
264#13094003C2314yes—
265#13094002C2318yes—
266#13094002C2318yes—
267#13094002C2318yes—
268#13094002C2318yes—
269#13094002C2318yes—
270#13094002C2318yes—
271#13094002C2314yes—
272#13094002C2314yes—
273#13094001C2318yes—
274#13094001C2318yes—
275#13094001C2318yes—
276#13094001C2318yes—
277#13094001C2318yes—
278#13094001C2314yes—
279#13094001C2314yes—
280#13094000C2314yes—
281#13094000C2318yes—
282#13094000C2314yes—
283#13094000C2312yes—
284#13094000C2312yes—
285#13094000C2314yes—
286#13093999C2314yes—
287#13093999C2312yes—
288#13093999C2312yes—
289#13093999C2314yes—
290#13093998C2314yes—
291#13093997C2318yes—
292#13093997C2318yes—
293#13093997C2318yes—
294#13093997C2314yes—
295#13093997C2314yes—
296#13093996C2318yes—
297#13093996C2314yes—
298#13093996C2314yes—
299#13093995C2312yes—
300#13093995C2312yes—
301#13093995C2314yes—
302#13093994C2314yes—
303#13093992C2314yes—
304Q8×Dic47C2314yes—
305Q8×Dic47C2314yes—
306Q8×Dic47C2314yes—
307Q8×Dic47C2314yes—
308C4×Dic94C2318yes—
309C4×Dic94C2312yes—
310C4×Dic94C2314yes—
311C4×Dic94C2314yes—
312C4×Dic94C2318yes—
313C4×Dic94C2314yes—
314C4×Dic94C2314yes—
315C4×Dic94C2314yes—
316C4×Dic94C2314yes—
317C4×Dic94C2318yes—
318C4×Dic94C2318yes—
319C4×Dic94C2314yes—
320C4×Dic94C2312yes—
321C4×Dic94C2314yes—
322C4×Dic94C2314yes—
323C4×Dic94C2314yes—
324#13093989C2318yes—
325#13093989C2314yes—
326#13093989C2314yes—
327#13093989C2314yes—
328#13093989C2314yes—
329#13093989C2318yes—
330#13093989C2318yes—
331#13093989C2318yes—
332#13093989C2314yes—
333#13093989C2318yes—
334#13093989C2318yes—
335C4×D188C2312yes—
336C4×D188C2314yes—
337C4×D188C2314yes—
338C4×D188C2314yes—
339C4×D188C2314yes—
340C4×D188C2312yes—
341C4×D188C2314yes—
342C4×D188C2314yes—
343D4×Dic47C2314yes—
344D4×Dic47C2314yes—
345D4×Dic47C2318yes—
346#13093986C2318yes—
347#13093986C2318yes—
348#13093986C2314yes—
349#13093986C2318yes—
350C4×C22⋊D47C2314yes—
351C4×C22⋊D47C2318yes—
352C4×C22⋊D47C2314yes—
353C4×C22⋊D47C2314yes—
354C4×C22⋊D47C2314yes—
355C4×C22⋊D47C2314yes—
356C4×C22⋊D47C2314yes—
357C4×C22⋊D47C2314yes—
358C4×C22⋊D47C2314yes—
359C4×C22⋊D47C2318yes—
360C4×C22⋊D47C2314yes—
361C4×C22⋊D47C2314yes—
362(C22⋊D47)⋊C4C2318yes—
363(C22⋊D47)⋊C4C2318yes—
364(C22⋊D47)⋊C4C2318yes—
365(C22⋊D47)⋊C4C2318yes—
366(C22⋊D47)⋊C4C2318yes—
367(C22⋊D47)⋊C4C2318yes—
368(C22⋊D47)⋊C4C2318yes—
369(C22⋊D47)⋊C4C2318yes—
370#13093983C2312yes—
371#13093983C2314yes—
372#13093983C2314yes—
373#13093983C2314yes—
374#13093982C2318yes—
375#13093982C2314yes—
376#13093982C2318yes—
377#13093982C2314yes—
378#13093982C2314yes—
379#13093981C2314yes—
380#13093981C2314yes—
381#13093981C2318yes—
382#13093981C2314yes—
383#13093981C2314yes—
384#13093981C2318yes—
385#13093981C2314yes—
386#13093980C2318yes—
387#13093980C2318yes—
388#13093980C2318yes—
389#13093980C2318yes—
390C2×C4⋊Dic47C2314yes—
391C2×C4⋊Dic47C2311yescharacteristic
392C2×C4⋊Dic47C2312yes—
393C2×Dic47⋊C4C2312yes—
394C2×Dic47⋊C4C2318yes—
395C2×Dic47⋊C4C2312yes—
396C2×Dic47⋊C4C2312yes—
397C4⋊C4×D47C2318yes—
398C4⋊C4×D47C2314yes—
399C4⋊C4×D47C2318yes—
400C4⋊C4×D47C2314yes—
401C4⋊C4×D47C2318yes—
402C4⋊C4×D47C2314yes—
403C2×C4×Dic47C2311yescharacteristic
404C2×C4×Dic47C2312yes—
405C2×C4×Dic47C2312yes—
406C2×C4×Dic47C2311yescharacteristic
407C2×C4×Dic47C2312yes—
408C2×C4×Dic47C2311yescharacteristic
409C2×C4×Dic47C2318yes—
410C42×D47C2314yes—
411C42×D47C2314yes—
412C42×D47C2312yes—
413C42×D47C2312yes—
414C42×D47C2312yes—
415C42×D47C2312yes—
416C42×D47C2314yes—
417C42×D47C2314yes—
418C42×D47C2318yes—
419C42×D47C2314yes—
420C2×#41×C47C2312yes—
421C22×Q8×C47C2311yescharacteristic
422C4⋊Q8×C47C2314yes—
423C4⋊Q8×C47C2314yes—
424#126×C47C2318yes—
425#126×C47C2318yes—
426#125×C47C2314yes—
427#125×C47C2318yes—
428#125×C47C2314yes—
429#124×C47C2314yes—
430#124×C47C2314yes—
431#123×C47C2318yes—
432#123×C47C2318yes—
433C22⋊Q8×C47C2314yes—
434C22⋊Q8×C47C2318yes—
435C22⋊Q8×C47C2314yes—
436C22⋊Q8×C47C2314yes—
437C22⋊Q8×C47C2314yes—
438#121×C47C2314yes—
439#121×C47C2314yes—
440C4×Q8×C47C2314yes—
441C4×Q8×C47C2314yes—
442C4×Q8×C47C2312yes—
443C4×Q8×C47C2312yes—
444C4×Q8×C47C2314yes—
445C4×D4×C47C2314yes—
446C4×D4×C47C2312yes—
447C4×D4×C47C2314yes—
448C4×D4×C47C2312yes—
449C4×D4×C47C2314yes—
450#117×C47C2312yes—
451#117×C47C2314yes—
452#117×C47C2318yes—
453C2×C4⋊C4×C47C2311yescharacteristic
454C2×C4⋊C4×C47C2312yes—
455C2×C42×C47C2311yescharacteristic
456C2×C42×C47C2312yes—
457C2×C42×C47C2314yes—
458C23×D47C2411yescharacteristic
459#41×C47—28no—
460C2×Q8×C47—24no—
461C2×Q8×C47C2414yes—
462C2×Q8×C47C2412yes—
463C2×Q8×C47C2414yes—
464C2×D4×C47C2414yes—
465C2×D4×C47C2412yes—
466C2×D4×C47C2414yes—
467C22×C4×C47C2411yescharacteristic
468C22×C4×C47C2412yes—
469C22×C4×C47C2414yes—
470C22×C4×C47C2414yes—
471C22×C4×C47C2411yescharacteristic
472C22×C4×C47C2412yes—
473C22×C4×C47C2414yes—
474C22×C4×C47C2411yescharacteristic
475C2×C22⋊D47C2414yes—
476C2×C22⋊D47C2414yes—
477C2×C22⋊D47C2414yes—
478C2×C22⋊D47C2414yes—
479C2×C22⋊D47C2418yes—
480C2×C22⋊D47C2414yes—
481C22×Dic47C2411yescharacteristic
482C22×Dic47C2411yescharacteristic
483C22×Dic47C2418yes—
484C22×Dic47C2412yes—
485C22×Dic47C2411yescharacteristic
486C22×Dic47C2418yes—
487C22×Dic47C2412yes—
488#10625354—48no—
489Q8×D47—216no—
490Q8×D47—216no—
491Q8×D47—216no—
492#10625352—232no—
493#10625352—216no—
494#10625352—48no—
495#10625350—28no—
496#10625350—216no—
497#10625350—216no—
498#10625350—48no—
499C2×D188C2414yes—
500C2×D188C2414yes—
501C2×D188C2412yes—
502C2×D188C2414yes—
503C2×C4×D47—24no—
504C2×C4×D47—28no—
505C2×C4×D47—24no—
506C2×C4×D47—42no—
507C2×C4×D47—44no—
508C2×C4×D47C2411yescharacteristic
509C2×C4×D47C2411yescharacteristic
510C2×C4×D47C2411yescharacteristic
511C2×C4×D47C2414yes—
512C2×C4×D47C2412yes—
513C2×C4×D47C2414yes—
514C2×C4×D47C2414yes—
515C2×C4×D47C2414yes—
516C2×C4×D47C2412yes—
517C2×C4×D47C2412yes—
518C2×C4×D47C2418yes—
519C2×C4×D47C2414yes—
520C2×C4×D47C2414yes—
521C2×C4×D47C2412yes—
522C2×C4×D47C2414yes—
523C2×C4×D47C2418yes—
524C2×C4×D47C2411yescharacteristic
525C2×Dic94—28no—
526C2×Dic94—216no—
527C2×Dic94#4118yescomplemented
528C2×Dic94C2414yes—
529C2×Dic94C2418yes—
530C2×Dic94C2418yes—
531C2×Dic94C2412yes—
532C2×Dic94C2414yes—
533C2×Dic94C2414yes—
534C2×Dic94C2414yes—
535C4⋊C4×C47C2414yes—
536C4⋊C4×C47C2418yes—
537C4⋊C4×C47C2414yes—
538C4⋊C4×C47C2412yes—
539C4⋊C4×C47C2412yes—
540C4⋊C4×C47C2414yes—
541C4⋊C4×C47C2418yes—
542C4⋊C4×C47C2418yes—
543C4⋊C4×C47C2414yes—
544C4⋊C4×C47C2414yes—
545C4⋊C4×C47C2418yes—
546C22⋊C4×C47C2414yes—
547C22⋊C4×C47C2414yes—
548C22⋊C4×C47C2414yes—
549C22⋊C4×C47C2418yes—
550C22⋊C4×C47C2418yes—
551C22⋊C4×C47C2418yes—
552C42×C47C2412yes—
553C42×C47C2412yes—
554C42×C47C2414yes—
555C42×C47C2414yes—
556C42×C47C2414yes—
557C42×C47C2414yes—
558C42×C47C2414yes—
559C22⋊Dic47C2414yes—
560C22⋊Dic47C2418yes—
561C22⋊Dic47C2414yes—
562C22⋊Dic47C2414yes—
563C22⋊Dic47C2414yes—
564C22⋊Dic47C2414yes—
565(C2×D47)⋊C4C2414yes—
566(C2×D47)⋊C4C2414yes—
567(C2×D47)⋊C4C2414yes—
568(C2×D47)⋊C4C2418yes—
569(C2×D47)⋊C4C2414yes—
570(C2×D47)⋊C4C2414yes—
571(C2×D47)⋊C4C2414yes—
572(C2×D47)⋊C4C2414yes—
573(C2×D47)⋊C4C2418yes—
574(C2×D47)⋊C4C2418yes—
575(C2×D47)⋊C4C2414yes—
576(C2×D47)⋊C4C2414yes—
577(C2×D47)⋊C4C2414yes—
578(C2×D47)⋊C4C2418yes—
579C4⋊Dic47C2414yes—
580C4⋊Dic47C2418yes—
581C4⋊Dic47C2418yes—
582C4⋊Dic47C2412yes—
583C4⋊Dic47C2414yes—
584C4⋊Dic47C2414yes—
585C4⋊Dic47C2414yes—
586C4⋊Dic47C2412yes—
587C4⋊Dic47C2414yes—
588C4⋊Dic47C2414yes—
589C4⋊Dic47C2414yes—
590Dic47⋊C4C2418yes—
591Dic47⋊C4C2418yes—
592Dic47⋊C4C2418yes—
593Dic47⋊C4C2418yes—
594Dic47⋊C4C2418yes—
595Dic47⋊C4C2414yes—
596Dic47⋊C4C2418yes—
597Dic47⋊C4C2414yes—
598Dic47⋊C4C2414yes—
599Dic47⋊C4C2418yes—
600Dic47⋊C4C2414yes—
601Dic47⋊C4C2414yes—
602Dic47⋊C4C2418yes—
603Dic47⋊C4C2418yes—
604Dic47⋊C4C2414yes—
605Dic47⋊C4C2414yes—
606Dic47⋊C4C2414yes—
607Dic47⋊C4C2414yes—
608Dic47⋊C4C2414yes—
609C4×Dic47C2414yes—
610C4×Dic47C2414yes—
611C4×Dic47C2414yes—
612C4×Dic47C2412yes—
613C4×Dic47C2412yes—
614C4×Dic47C2414yes—
615C4×Dic47C2414yes—
616C4×Dic47C2412yes—
617C4×Dic47C2412yes—
618C4×Dic47C2412yes—
619C4×Dic47C2414yes—
620C4×Dic47C2412yes—
621C4×Dic47C2414yes—
622C4×Dic47C2414yes—
623C4×Dic47C2418yes—
624C4×Dic47C2418yes—
625C4×Dic47C2414yes—
626C4×Dic47C2418yes—
627C4×Dic47C2418yes—
628C23×C47C2514yes—
629C23×C47C2511yescharacteristic
630C22×D47—22no—
631C22×D47—22no—
632C22×D47—22no—
633C22×D47C2514yes—
634C22×D47C2511yescharacteristic
635C22×D47C2511yescharacteristic
636Q8×C47—28no—
637Q8×C47—24no—
638Q8×C47—44no—
639D4×C47—28no—
640D4×C47—24no—
641D4×C47—44no—
642C2×C4×C47—24no—
643C2×C4×C47—28no—
644C2×C4×C47—22no—
645C2×C4×C47—28no—
646C2×C4×C47—42no—
647C2×C4×C47—41no—
648C2×C4×C47—44no—
649C2×C4×C47C2×#4114yes—
650C2×C4×C47C2511yescharacteristic
651C2×C4×C47C2512yes—
652C2×C4×C47C2514yes—
653C2×C4×C47C2514yes—
654C2×C4×C47C2514yes—
655C2×C4×C47C2514yes—
656C2×C4×C47C2514yes—
657C2×C4×C47C2512yes—
658C2×C4×C47C2511yescharacteristic
659C22⋊D47—28no—
660C22⋊D47—28no—
661C22⋊D47—28no—
662C22⋊D47—216no—
663C22⋊D47—28no—
664C22⋊D47—44no—
665C2×Dic47—22no—
666C2×Dic47—216no—
667C2×Dic47—22no—
668C2×Dic47—41no—
669C2×Dic47—42no—
670C2×Dic47—48no—
671C2×Dic47C2×#4118yes—
672C2×Dic47C2511yescharacteristic
673C2×Dic47C2514yes—
674C2×Dic47C2514yes—
675C2×Dic47C2512yes—
676C2×Dic47C2514yes—
677C2×Dic47C2514yes—
678C2×Dic47C2512yes—
679C2×Dic47C2514yes—
680C2×Dic47C2511yescharacteristic
681D188—28no—
682D188—28no—
683D188—24no—
684D188—44no—
685C4×D47—22no—
686C4×D47—24no—
687C4×D47—28no—
688C4×D47—24no—
689C4×D47—24no—
690C4×D47—28no—
691C4×D47—22no—
692C4×D47—28no—
693C4×D47—28no—
694C4×D47—28no—
695C4×D47—216no—
696C4×D47—22no—
697C4×D47—42no—
698C4×D47—44no—
699C4×D47—44no—
700C4×D47—48no—
701C4×D472−1+414yescomplemented
702Dic94—24no—
703Dic94—216no—
704Dic94—216no—
705Dic94—28no—
706Dic94—44no—
707Dic94—44no—
708Dic94C2×#41116yes—
709#62788—471nomaximal, Sylow
710C22×C47—21no—
711C22×C47—21no—
712C22×C47—24no—
713C22×C47—24no—
714C22×C47—24no—
715C22×C47C22×#4112yes—
716C22×C47C2611yescharacteristic
717C2×D47—28no—
718C2×D47—21no—
719C2×D47—21no—
720C2×D47—21no—
721C2×D47—21no—
722C2×D47—24no—
723C2×D47—24no—
724C2×D47—24no—
725C2×D47C2×2−1+412yes—
726C2×D47#58512yes—
727C4×C47—24no—
728C4×C47—24no—
729C4×C47—24no—
730C4×C47—21no—
731C4×C47—24no—
732C4×C47—24no—
733C4×C47—22no—
734C4×C47C22×#4114yes—
735C4×C47C2×2−1+412yes—
736Dic47—22no—
737Dic47—24no—
738Dic47—24no—
739Dic47—21no—
740Dic47—24no—
741Dic47—22no—
742Dic47—24no—
743Dic47C22×#4118yes—
744Dic47C2×2−1+412yes—
745#3523—474no—
746#3522—474no—
747#3516—474no—
748#3516—474no—
749#3507—474no—
750#3507—472no—
751#3502—471no—
752#3497—471no—
753#3492—471no—
754#3492—474no—
755#3492—471no—
756#3486—472no—
757#3482—474no—
758#3482—474no—
759#3480—474no—
760Q8×#41—474no—
761#3461—474no—
762#3461—471no—
763#3461D4711yescharacteristic, complemented
764#3444—474no—
765#3444—472no—
766C4×2−1+4—472no—
767C22×C4×Q8—471no—
768C2×C47—22no—
769C2×C47—44no—
770C2×C47C23×#4111yescharacteristic
771C2×C47C22×2−1+411yescharacteristic
772C2×C47C2×#58511yescharacteristic
773D47—22no—
774D47—22no—
775D47—44no—
776C2×2−1+4—472no—
777C23×Q8—471no—
778#559—474no—
779#559—478no—
780Q82—474no—
781#557—474no—
782#557—474no—
783#557—478no—
784#557—474no—
785#557—474no—
786#556—474no—
787#556—478no—
788#556—478no—
789#556—474no—
790#556—474no—
791#556—478no—
792#554—474no—
793#554—478no—
794#554—478no—
795#554—478no—
796#554—474no—
797#554—474no—
798#553—478no—
799#553—474no—
800#553—478no—
801#553—474no—
802#552—478no—
803#552—478no—
804#552—478no—
805#552—474no—
806#552—478no—
807#552—474no—
808#552—474no—
809#552—474no—
810#550—474no—
811D4×Q8—474no—
812D4×Q8—474no—
813D4×Q8—474no—
814D4×Q8—474no—
815D4×Q8—474no—
816#548—474no—
817#548—474no—
818#548—474no—
819#548—474no—
820#548—474no—
821#548—474no—
822#547—474no—
823#547—478no—
824#547—478no—
825#547—474no—
826#544—474no—
827#544—471no—
828#544C2×D4711yescharacteristic
829#542—478no—
830#542—478no—
831#542—474no—
832#542C2×D4714yescomplemented
833#541—478no—
834#541—478no—
835#541—474no—
836#541C2×D4714yescomplemented
837#539—478no—
838#539—474no—
839#539—474no—
840#539—474no—
841#539C2×D4714yes—
842#537—474no—
843#537—471no—
844#537C2×D4711yescharacteristic
845#536—472no—
846#536—478no—
847#536C2×D4712yes—
848#533—474no—
849#533—474no—
850#533—474no—
851#533—472no—
852#533—472no—
853#533—478no—
854#533—474no—
855#533—472no—
856#533—478no—
857#533C2×D4714yescomplemented
858#532—472no—
859#532—474no—
860#532—474no—
861#532—474no—
862#532—472no—
863#532—472no—
864#529—478no—
865#529—478no—
866#529—474no—
867#529—474no—
868#529—478no—
869#529—472no—
870#529—472no—
871#529—474no—
872#529—474no—
873#529—472no—
874#529—474no—
875#529—472no—
876#529—478no—
877#529—478no—
878#529—474no—
879#529—474no—
880#529—478no—
881#529—474no—
882#529C2×D4714yes—
883#529C2×D4714yescomplemented
884#525—472no—
885#525—478no—
886#525—474no—
887#525—474no—
888#525—474no—
889#525—474no—
890#525—472no—
891#520—472no—
892#520—478no—
893#520—474no—
894#520—472no—
895#520—474no—
896#519—474no—
897#519—472no—
898#519—474no—
899C4×#41—474no—
900C4×#41—478no—
901C4×#41—474no—
902C4×#41—474no—
903C4×#41—478no—
904C4×#41—472no—
905C4×#41—474no—
906C4×#41—474no—
907C4×#41—474no—
908C4×#41C2×D4712yes—
909C2×C4×Q8—471no—
910C2×C4×Q8—474no—
911C2×C4×Q8—474no—
912C2×C4×Q8—474no—
913C2×C4×Q8—474no—
914C2×C4×Q8—474no—
915C2×C4×Q8—471no—
916C2×C4×Q8—472no—
917C2×C4×Q8—471no—
918C2×C4×Q8—472no—
919C2×C4×Q8—474no—
920C2×C4×Q8C2×D4711yescharacteristic
921C22×C4⋊C4—472no—
922C22×C4⋊C4—471no—
923C22×C42—472no—
924C22×C42—471no—
925C47#6278811yescharacteristic, complemented, Sylow
9262−1+4—9416no—
927C2×#41—474no—
928C2×#41—478no—
929C2×#41—474no—
930C2×#41—474no—
931C2×#41—474no—
932C2×#41—472no—
933C2×#41—474no—
934C2×#41—474no—
935C2×#41C22×D4712yes—
936C22×Q8—474no—
937C22×Q8—474no—
938C22×Q8—474no—
939C22×Q8—471no—
940C22×Q8—472no—
941C22×Q8—474no—
942C22×Q8—948no—
943C22×Q8C22×D4711yescharacteristic
944C23×C4—472no—
945C23×C4—471no—
946C23×C4—471no—
947C23×C4—472no—
948C23×C4—471no—
949C4⋊Q8—472no—
950C4⋊Q8—474no—
951C4⋊Q8—474no—
952C4⋊Q8—478no—
953C4⋊Q8—474no—
954C4⋊Q8—472no—
955C4⋊Q8—474no—
956C4⋊Q8—472no—
957C4⋊Q8—478no—
958C4⋊Q8—478no—
959C4⋊Q8—478no—
960C4⋊Q8—474no—
961C4⋊Q8C22×D4714yes—
962C4⋊Q8C22×D4714yes—
963#127—474no—
964#127—472no—
965#126—474no—
966#126—478no—
967#126—474no—
968#126—478no—
969#126—478no—
970#126—478no—
971#126—474no—
972#126—478no—
973#126—474no—
974#126—478no—
975#126—478no—
976#126—478no—
977#126C22×D4718yes—
978#126C22×D4718yes—
979#125—474no—
980#125—478no—
981#125—472no—
982#125—472no—
983#125—478no—
984#125—474no—
985#125—478no—
986#125—478no—
987#125—474no—
988#125—478no—
989#125—478no—
990#125—478no—
991#125—478no—
992#125—478no—
993#125—474no—
994#125C22×D4714yes—
995#125C22×D4714yes—
996#125C22×D4718yes—
997#124—472no—
998#124—474no—
999#124—472no—
1000#124—474no—
1001#124—478no—
1002#124—478no—
1003#124—474no—
1004#124—478no—
1005#124—478no—
1006#124—474no—
1007#124C22×D4714yes—
1008#124C22×D4714yes—
1009#123—474no—
1010#123—478no—
1011#123—478no—
1012#123—474no—
1013#123—478no—
1014#123—474no—
1015#123—478no—
1016#123—478no—
1017#123—474no—
1018#123—474no—
1019#123—478no—
1020#123—474no—
1021#123—478no—
1022#123—478no—
1023#123C22×D4718yes—
1024#123C22×D4718yes—
1025C22⋊Q8—472no—
1026C22⋊Q8—472no—
1027C22⋊Q8—474no—
1028C22⋊Q8—474no—
1029C22⋊Q8—474no—
1030C22⋊Q8—478no—
1031C22⋊Q8—474no—
1032C22⋊Q8—474no—
1033C22⋊Q8—478no—
1034C22⋊Q8—472no—
1035C22⋊Q8—478no—
1036C22⋊Q8—472no—
1037C22⋊Q8—474no—
1038C22⋊Q8—474no—
1039C22⋊Q8—478no—
1040C22⋊Q8—478no—
1041C22⋊Q8—478no—
1042C22⋊Q8—474no—
1043C22⋊Q8—478no—
1044C22⋊Q8—478no—
1045C22⋊Q8—474no—
1046C22⋊Q8—474no—
1047C22⋊Q8—478no—
1048C22⋊Q8—478no—
1049C22⋊Q8—478no—
1050C22⋊Q8—478no—
1051C22⋊Q8—478no—
1052C22⋊Q8C22×D4714yes—
1053C22⋊Q8C22×D4714yes—
1054C22⋊Q8C22×D4714yes—
1055C22⋊Q8C22×D4714yes—
1056C22⋊Q8C22×D4718yes—
1057#121—474no—
1058#121—474no—
1059#121—472no—
1060#121—472no—
1061#121—474no—
1062#121—478no—
1063#121—474no—
1064#121—472no—
1065#121—472no—
1066#121—474no—
1067#121—474no—
1068#121—474no—
1069#121—478no—
1070#121—478no—
1071#121—474no—
1072#121—478no—
1073#121C22×D4714yes—
1074#121C22×D4714yes—
1075#120—474no—
1076#120—474no—
1077C4×Q8—474no—
1078C4×Q8—474no—
1079C4×Q8—474no—
1080C4×Q8—474no—
1081C4×Q8—474no—
1082C4×Q8—474no—
1083C4×Q8—478no—
1084C4×Q8—478no—
1085C4×Q8—474no—
1086C4×Q8—478no—
1087C4×Q8—478no—
1088C4×Q8—474no—
1089C4×Q8—478no—
1090C4×Q8—474no—
1091C4×Q8—478no—
1092C4×Q8—474no—
1093C4×Q8—474no—
1094C4×Q8—478no—
1095C4×Q8—478no—
1096C4×Q8—478no—
1097C4×Q8—472no—
1098C4×Q8—474no—
1099C4×Q8—474no—
1100C4×Q8—478no—
1101C4×Q8—472no—
1102C4×Q8—474no—
1103C4×Q8—474no—
1104C4×Q8—474no—
1105C4×Q8—474no—
1106C4×Q8—474no—
1107C4×Q8—474no—
1108C4×Q8C22×D4714yes—
1109C4×Q8C22×D4714yes—
1110C4×Q8C22×D4712yes—
1111C4×Q8C22×D4714yes—
1112C4×Q8C22×D4712yes—
1113C4×D4—478no—
1114C4×D4—474no—
1115C4×D4—474no—
1116C4×D4—474no—
1117C4×D4—474no—
1118C4×D4—478no—
1119C4×D4—474no—
1120C4×D4—478no—
1121C4×D4—474no—
1122C4×D4—474no—
1123C4×D4—474no—
1124C4×D4—474no—
1125C4×D4—474no—
1126C4×D4—474no—
1127C4×D4—474no—
1128C4×D4—478no—
1129C4×D4—478no—
1130C4×D4—478no—
1131C4×D4—474no—
1132C4×D4—478no—
1133C4×D4—478no—
1134C4×D4—478no—
1135C4×D4—478no—
1136C4×D4—478no—
1137C4×D4—478no—
1138C4×D4—478no—
1139C4×D4—478no—
1140C4×D4—474no—
1141C4×D4—472no—
1142C4×D4—472no—
1143C4×D4—474no—
1144C4×D4—474no—
1145C4×D4—474no—
1146C4×D4—474no—
1147C4×D4—474no—
1148C4×D4C22×D4714yes—
1149C4×D4C22×D4712yes—
1150C4×D4C22×D4714yes—
1151C4×D4C22×D4714yes—
1152C4×D4C22×D4712yes—
1153#117—472no—
1154#117—474no—
1155#117—474no—
1156#117—474no—
1157#117—478no—
1158#117—474no—
1159#117—474no—
1160#117—474no—
1161#117—478no—
1162#117—478no—
1163#117—478no—
1164#117—478no—
1165#117—478no—
1166#117—474no—
1167#117—474no—
1168#117—478no—
1169#117—474no—
1170#117—478no—
1171#117—474no—
1172#117—474no—
1173#117C22×D4718yes—
1174#117C22×D4712yes—
1175#117C22×D4714yes—
1176C2×C4⋊C4—472no—
1177C2×C4⋊C4—471no—
1178C2×C4⋊C4—472no—
1179C2×C4⋊C4—472no—
1180C2×C4⋊C4—472no—
1181C2×C4⋊C4—478no—
1182C2×C4⋊C4—474no—
1183C2×C4⋊C4—478no—
1184C2×C4⋊C4—474no—
1185C2×C4⋊C4—478no—
1186C2×C4⋊C4—474no—
1187C2×C4⋊C4—478no—
1188C2×C4⋊C4—474no—
1189C2×C4⋊C4C22×D4711yescharacteristic
1190C2×C4⋊C4C22×D4712yes—
1191C2×C42—472no—
1192C2×C42—471no—
1193C2×C42—472no—
1194C2×C42—471no—
1195C2×C42—472no—
1196C2×C42—471no—
1197C2×C42—478no—
1198C2×C42—474no—
1199C2×C42—472no—
1200C2×C42—474no—
1201C2×C42—472no—
1202C2×C42—474no—
1203C2×C42—472no—
1204C2×C42—474no—
1205C2×C42—472no—
1206C2×C42—478no—
1207C2×C42—474no—
1208C2×C42C22×D4711yescharacteristic
1209C2×C42C22×D4712yes—
1210C2×C42C22×D4714yes—
1211C24—471no—
1212#41—28no—
1213#41—9416no—
1214#41—9416no—
1215#41—9432no—
1216#41—9416no—
1217#41—948no—
1218#41—1888no—
1219#41—1888no—
1220#41—1888no—
1221C2×Q8—24no—
1222C2×Q8—478no—
1223C2×Q8—474no—
1224C2×Q8—474no—
1225C2×Q8—478no—
1226C2×Q8—478no—
1227C2×Q8—472no—
1228C2×Q8—474no—
1229C2×Q8—474no—
1230C2×Q8—948no—
1231C2×Q8—9416no—
1232C2×Q8—9416no—
1233C2×Q8—9416no—
1234C2×Q8—9416no—
1235C2×Q8C23×D4714yes—
1236C2×Q8C23×D4712yes—
1237C2×Q8C23×D4714yes—
1238C2×D4—474no—
1239C2×D4—474no—
1240C2×D4—474no—
1241C2×D4—474no—
1242C2×D4—478no—
1243C2×D4—474no—
1244C2×D4—474no—
1245C2×D4—474no—
1246C2×D4—472no—
1247C2×D4—474no—
1248C2×D4C23×D4714yes—
1249C2×D4C23×D4712yes—
1250C2×D4C23×D4714yes—
1251C22×C4—472no—
1252C22×C4—471no—
1253C22×C4—471no—
1254C22×C4—471no—
1255C22×C4—478no—
1256C22×C4—472no—
1257C22×C4—471no—
1258C22×C4—478no—
1259C22×C4—471no—
1260C22×C4—471no—
1261C22×C4—474no—
1262C22×C4—472no—
1263C22×C4—474no—
1264C22×C4—474no—
1265C22×C4—472no—
1266C22×C4—472no—
1267C22×C4—478no—
1268C22×C4—474no—
1269C22×C4—471no—
1270C22×C4—474no—
1271C22×C4—474no—
1272C22×C4—472no—
1273C22×C4—478no—
1274C22×C4—474no—
1275C22×C4—944no—
1276C22×C4—948no—
1277C22×C4—944no—
1278C22×C4—1882no—
1279C22×C4—1884no—
1280C22×C4C23×D4712yes—
1281C22×C4C23×D4714yes—
1282C22×C4C23×D4711yescharacteristic
1283C22×C4C23×D4714yes—
1284C22×C4C23×D4711yescharacteristic
1285C22×C4C23×D4712yes—
1286C22×C4C23×D4714yes—
1287C22×C4C23×D4711yescharacteristic
1288C4⋊C4—478no—
1289C4⋊C4—478no—
1290C4⋊C4—478no—
1291C4⋊C4—478no—
1292C4⋊C4—478no—
1293C4⋊C4—474no—
1294C4⋊C4—478no—
1295C4⋊C4—474no—
1296C4⋊C4—474no—
1297C4⋊C4—474no—
1298C4⋊C4—474no—
1299C4⋊C4—474no—
1300C4⋊C4—474no—
1301C4⋊C4—474no—
1302C4⋊C4—478no—
1303C4⋊C4—474no—
1304C4⋊C4—478no—
1305C4⋊C4—478no—
1306C4⋊C4—474no—
1307C4⋊C4—474no—
1308C4⋊C4—478no—
1309C4⋊C4—472no—
1310C4⋊C4—478no—
1311C4⋊C4—472no—
1312C4⋊C4—474no—
1313C4⋊C4—474no—
1314C4⋊C4—474no—
1315C4⋊C4—474no—
1316C4⋊C4—474no—
1317C4⋊C4—474no—
1318C4⋊C4C23×D4714yes—
1319C4⋊C4C23×D4718yes—
1320C4⋊C4C23×D4712yes—
1321C4⋊C4C23×D4714yes—
1322C4⋊C4C23×D4712yes—
1323C4⋊C4C23×D4714yes—
1324C4⋊C4C23×D4714yes—
1325C4⋊C4C23×D4718yes—
1326C4⋊C4C23×D4714yes—
1327C4⋊C4C23×D4718yes—
1328C4⋊C4C23×D4718yes—
1329C22⋊C4—474no—
1330C22⋊C4—478no—
1331C22⋊C4—474no—
1332C22⋊C4—474no—
1333C22⋊C4—474no—
1334C22⋊C4—474no—
1335C22⋊C4—474no—
1336C22⋊C4—474no—
1337C22⋊C4—478no—
1338C22⋊C4—474no—
1339C22⋊C4—474no—
1340C22⋊C4—474no—
1341C22⋊C4—474no—
1342C22⋊C4—474no—
1343C22⋊C4—478no—
1344C22⋊C4—474no—
1345C22⋊C4—474no—
1346C22⋊C4—478no—
1347C22⋊C4—478no—
1348C22⋊C4—474no—
1349C22⋊C4C23×D4714yes—
1350C22⋊C4C23×D4714yes—
1351C22⋊C4C23×D4714yes—
1352C22⋊C4C23×D4718yes—
1353C22⋊C4C23×D4718yes—
1354C22⋊C4C23×D4718yes—
1355C42—474no—
1356C42—474no—
1357C42—472no—
1358C42—474no—
1359C42—472no—
1360C42—474no—
1361C42—472no—
1362C42—474no—
1363C42—472no—
1364C42—472no—
1365C42—478no—
1366C42—478no—
1367C42—474no—
1368C42—478no—
1369C42—478no—
1370C42—474no—
1371C42—474no—
1372C42—472no—
1373C42—474no—
1374C42C23×D4712yes—
1375C42C23×D4714yes—
1376C42C23×D4714yes—
1377C42C23×D4714yes—
1378C42C23×D4712yes—
1379C42C23×D4714yes—
1380C42C23×D4714yes—
1381C23—471no—
1382C23—471no—
1383C23—474no—
1384C23—942no—
1385C23—942no—
1386C23—942no—
1387C23C24×D4714yes—
1388C23C24×D4711yescharacteristic
1389Q8—28no—
1390Q8—24no—
1391Q8—44no—
1392Q8—4716no—
1393Q8—9416no—
1394Q8—9416no—
1395Q8—948no—
1396Q8—944no—
1397Q8—1884no—
1398Q8—1884no—
1399D4—28no—
1400D4—24no—
1401D4—44no—
1402D4—948no—
1403D4—948no—
1404D4—948no—
1405D4—9416no—
1406D4—948no—
1407D4—948no—
1408D4—948no—
1409D4—944no—
1410D4—1884no—
1411D4—1884no—
1412C2×C4—24no—
1413C2×C4—28no—
1414C2×C4—22no—
1415C2×C4—28no—
1416C2×C4—41no—
1417C2×C4—42no—
1418C2×C4—44no—
1419C2×C4—478no—
1420C2×C4—471no—
1421C2×C4—474no—
1422C2×C4—474no—
1423C2×C4—471no—
1424C2×C4—474no—
1425C2×C4—474no—
1426C2×C4—472no—
1427C2×C4—474no—
1428C2×C4—474no—
1429C2×C4—472no—
1430C2×C4—942no—
1431C2×C4—948no—
1432C2×C4—948no—
1433C2×C4—9416no—
1434C2×C4—942no—
1435C2×C4—944no—
1436C2×C4—948no—
1437C2×C4—942no—
1438C2×C4—9416no—
1439C2×C4—942no—
1440C2×C4—944no—
1441C2×C4—944no—
1442C2×C4—948no—
1443C2×C4—942no—
1444C2×C4—948no—
1445C2×C4—1882no—
1446C2×C4—1884no—
1447C2×C4—1884no—
1448C2×C4—1888no—
1449C2×C4—1882no—
1450C2×C4—1881no—
1451C2×C4—1888no—
1452C2×C4#41×D4714yes—
1453C2×C4C24×D4711yescharacteristic
1454C2×C4C24×D4712yes—
1455C2×C4C24×D4714yes—
1456C2×C4C24×D4714yes—
1457C2×C4C24×D4714yes—
1458C2×C4C24×D4714yes—
1459C2×C4C24×D4714yes—
1460C2×C4C24×D4712yes—
1461C2×C4C24×D4711yescharacteristic
1462C22—21no—
1463C22—21no—
1464C22—24no—
1465C22—24no—
1466C22—24no—
1467C22—472no—
1468C22—472no—
1469C22—948no—
1470C22—941no—
1471C22—941no—
1472C22—941no—
1473C22—941no—
1474C22—944no—
1475C22—944no—
1476C22—944no—
1477C22C2×#41×D4712yes—
1478C22C25×D4711yescharacteristic
1479C4—24no—
1480C4—24no—
1481C4—21no—
1482C4—24no—
1483C4—22no—
1484C4—24no—
1485C4—24no—
1486C4—478no—
1487C4—472no—
1488C4—944no—
1489C4—942no—
1490C4—941no—
1491C4—944no—
1492C4—944no—
1493C4—942no—
1494C4—944no—
1495C4C2×#41×D4714yes—
1496C42−1+4×D4712yes—
1497C2—22no—
1498C2—44no—
1499C2—942no—
1500C2—942no—
1501C2—1884no—
1502C2C22×#41×D4711yescharacteristic
1503C2C2×2−1+4×D4711yescharacteristic
1504C2#585×D4711yescharacteristic
subgroupG/H
centerC2×C4C24×D47
commutator, socle, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC47×#3461C2
hypercenter#3461D47
hypocenterC47#62788
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ #3461

Complements

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

NH ≅ G/Ntype
1. #20257480C2semidirect
2. #20257469C2semidirect
3. #20257379C2semidirect
4. #20257375C2semidirect
5. #20257252C2semidirect
6. #20257248C2semidirect
7. #20257196C2semidirect
8. #20257157C2semidirect
9. #20257098C2semidirect
10. #20257095C2semidirect
11. #20257093C2semidirect
12. #20257037C2semidirect
13. #20257006C2semidirect
14. #20257001C2semidirect
15. #20256979C2semidirect
16. #20256966C2semidirect
17. #20256821C2semidirect
18. #20256817C2semidirect
19. #20256682C2semidirect
20. #20256681C2semidirect
21. C4×#13094071C2semidirect
22. C2×C4×Q8×D47C2semidirect
23. C47×#3461C2semidirect
26. #15689857C22semidirect
27. #15689855C22semidirect
28. #15689853C22semidirect
29. #15689850C22semidirect
30. #15689850C22semidirect
31. #15689850C22semidirect
32. #15689848C22semidirect
33. #15689848C22semidirect
34. #15689847C22semidirect
35. #15689844C22semidirect
36. #15689844C22semidirect
37. #15689842C22semidirect
38. #15689840C22semidirect
39. #15689840C22semidirect
42. #15689831C22semidirect
45. #15689827C22semidirect
50. #15689815C22semidirect
52. #15689810C22semidirect
55. #15689807C22semidirect
57. #15689805C22semidirect
58. #15689791C22semidirect
63. #15689786C22semidirect
66. #15689783C22semidirect
69. #15689779C22semidirect
76. #15689745C22semidirect
77. #15689739C22semidirect
78. #15689737C22semidirect
79. #15689732C22semidirect
80. #15689731C22semidirect
81. #15689730C22semidirect
94. #15689677C22semidirect
95. #15689677C22semidirect
97. #15689676C22semidirect
107. #15689660C22semidirect
116. #15689653C22semidirect
121. #15689651C22semidirect
132. #15689603C22semidirect
134. #15689602C22semidirect
136. #15689600C22semidirect
137. #15689599C22semidirect
142. C4×#10625350C22semidirect
146. C4×#10625352C22semidirect
150. C2×C4×Dic94C22semidirect
157. C4×Q8×D47C22semidirect
163. C47×#542C22semidirect
164. C47×#541C22semidirect
168. C47×#533C22semidirect
170. C47×#529C22semidirect
527. C2×Dic94#41semidirect
701. C4×D472−1+4semidirect
763. #3461D47semidirect
832. #542C2×D47semidirect
836. #541C2×D47semidirect
857. #533C2×D47semidirect
883. #529C2×D47semidirect
925. C47#62788semidirect

Maximal subgroups

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

subgroupindex
#202574802
#202574692
#202573792
#202573752
#202572522
#202572482
#202571962
#202571572
#202570982
#202570952
#202570932
#202570372
#202570062
#202570012
#202569792
#202569662
#202568212
#202568172
#202566822
#202566812
C4×#130940712
C2×C4×Q8×D472
C47×#34612
#6278847