Finite Group Databasebeta

← C2×#20253019 #27083437

Subgroups — C2×#20253019 #27083437

Order 12032.

2898 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094057C211yesmaximal, characteristic, complemented
2C22×M16×D47C211yesmaximal, characteristic, complemented
3C2×#15689635C211yesmaximal, characteristic
4C22×#13094004C211yesmaximal, characteristic, complemented
5#20253019C2116yesmaximal, direct product factor
6C2×#15689382C212yesmaximal, complemented
7C2×#15689370C212yesmaximal, complemented
8C2×#15689365C212yesmaximal, complemented
9C2×#15689353C212yesmaximal, complemented
10C2×#15689122C211yesmaximal, characteristic, complemented
11C2×#15689131C211yesmaximal, characteristic, complemented
12C2×C47×#428C211yesmaximal, characteristic, complemented
13C22×#10625350C2211yescharacteristic
14C23×Dic94C2211yescharacteristic
15C23×C4×D47C2211yescharacteristic
16C2×#13094057—28no—
17C2×#13094057C2218yescomplemented
18C22×Dic188C2212yescomplemented
19C22×#10625325C2212yescomplemented
20C22×#10625329C2211yescharacteristic
21C22×#10625324C2212yes—
22C2×M16×D47—28no—
23C2×M16×D47C2218yescomplemented
24C22×C8×D47C2212yes—
25#15689635—24no—
26#15689635C2218yes—
27C2×#13094008—21no—
28C2×#13094004—21no—
29C2×#13094004—21no—
30C2×#13094004—24no—
31C2×#13094004C2212yes—
32C2×#13094004C2211yescharacteristic
33C2×#13094004C2212yes—
34C2×#13094004C2211yescharacteristic
35C2×#13094004C2218yescomplemented
36C2×#13093999C2211yescharacteristic
37C2×#13093999C2211yescharacteristic
38C2×#13093994—21no—
39C2×C4×D188—21no—
40C2×C4×D188—21no—
41C22×C4⋊Dic47—21no—
42C22×(C2×D47)⋊C4—21no—
43#15689382C22116yescomplemented
44#15689370C22116yescomplemented
45#15689365C22116yescomplemented
46#15689353C22116yescomplemented
47#15689131C2218yescomplemented
48#15689122C2218yescomplemented
49C2×#13093947C2212yescomplemented
50C2×#13093947C2212yescomplemented
51C2×#13093947C2212yescomplemented
52C2×#13093944C2212yescomplemented
53C22×M16×C47C2211yescharacteristic
54C2×#117×C47C2211yescharacteristic
55C22×C4⋊C4×C47C2211yescharacteristic
56C47×#428C2218yescomplemented
57C2×#107×C47C2212yescomplemented
58C2×#106×C47C2212yescomplemented
59C24×D47D411yescharacteristic
60C2×#10625350—22no—
61C2×#10625350—24no—
62C2×#10625350—24no—
63C2×#10625350C2314yes—
64C22×Dic94—24no—
65C22×Dic94—24no—
66C22×Dic94—21no—
67C22×Dic94—22no—
68C22×Dic94C2312yes—
69C22×Dic94C2311yescharacteristic
70C22×Dic94C2314yes—
71C22×D188—21no—
72C22×D188—21no—
73C22×D188C2311yescharacteristic
74C22×C22⋊D47—21no—
75C23×Dic47—21no—
76C23×Dic47D411yescharacteristic
77C22×C4×D47—24no—
78C22×C4×D47—24no—
79C22×C4×D47—21no—
80C22×C4×D47D411yescharacteristic
81C22×C4×D47D411yescharacteristic
82C22×C4×D47D414yes—
83C22×C4×D47C2311yescharacteristic
84C22×C4×D47C2311yescharacteristic
85C22×C4×D47C2314yes—
86#13094057—232no—
87C2×Dic188—28no—
88C2×Dic188C2318yescomplemented
89C2×#10625325—28no—
90C2×#10625325C2318yescomplemented
91C2×#10625329—24no—
92C2×#10625329C2314yes—
93C2×#10625324—28no—
94C2×#10625324C2318yes—
95M16×D47—232no—
96C22×C47⋊C8C2312yes—
97C2×C8×D47—28no—
98C2×C8×D47C2318yes—
99#13094008—28no—
100#13094004—24no—
101#13094004—24no—
102#13094004—28no—
103#13094004—28no—
104#13094004—22no—
105#13094004—22no—
106#13094004C2318yes—
107#13094004C2314yes—
108#13094004C2318yes—
109#13094004C2314yes—
110#13093999—22no—
111#13093999—22no—
112#13093999C2314yes—
113#13093999C2314yes—
114#13093994—28no—
115C4×D188—28no—
116C4×D188—28no—
117C2×C4⋊Dic47—22no—
118C2×C4⋊Dic47—22no—
119C2×C4⋊Dic47—28no—
120C2×C4⋊Dic47—21no—
121C2×C4⋊Dic47—21no—
122C2×(C2×D47)⋊C4—22no—
123C2×(C2×D47)⋊C4—22no—
124C2×(C2×D47)⋊C4—28no—
125C2×(C2×D47)⋊C4—21no—
126C2×(C2×D47)⋊C4—21no—
127C2×(C2×D47)⋊C4—21no—
128C2×(C2×D47)⋊C4—21no—
129#13093947C2318yescomplemented
130#13093947C2318yescomplemented
131#13093947C2318yescomplemented
132#13093944C2318yescomplemented
133C23×C4×C47—21no—
134C23×C4×C47C2311yescharacteristic
135C2×M16×C47D418yescomplemented
136C2×M16×C47C2314yes—
137C22×C8×C47C2312yes—
138#117×C47—22no—
139#117×C47C2314yes—
140C2×C4⋊C4×C47—21no—
141C2×C4⋊C4×C47—22no—
142C2×C4⋊C4×C47C2312yes—
143C2×C4⋊C4×C47C2314yes—
144C2×C4⋊C4×C47C2311yescharacteristic
145C2×C4⋊C4×C47C2311yescharacteristic
146C2×C22⋊C4×C47—21no—
147C2×C42×C47—21no—
148#107×C47C2318yescomplemented
149#106×C47C2318yescomplemented
150C24×C47C2×D411yescharacteristic
151C23×D47—24no—
152C23×D47—24no—
153C23×D47—21no—
154C23×D47—42no—
155C23×D47C2×D411yescharacteristic
156C23×D47C2×D414yes—
157C23×D47C2×D411yescharacteristic
158C22×C4×C47—21no—
159C22×C4×C47—21no—
160C22×C4×C47—24no—
161C22×C4×C47—22no—
162C22×C4×C47—44no—
163C22×C4×C47C2×D411yescharacteristic
164C22×C4×C47C2×D412yes—
165C22×C4×C47C2×D414yes—
166C22×C4×C47#4114yes—
167C22×C4×C47C2411yescharacteristic
168C22×C4×C47C2412yes—
169C2×C22⋊D47—24no—
170C2×C22⋊D47—44no—
171C22×Dic47—24no—
172C22×Dic47—21no—
173C22×Dic47—24no—
174C22×Dic47—22no—
175C22×Dic47—44no—
176C22×Dic47C2×D411yescharacteristic
177C22×Dic47C2×D411yescharacteristic
178C22×Dic47C2×D414yes—
179#10625350—28no—
180#10625350—28no—
181#10625350—48no—
182C2×D188—22no—
183C2×D188—22no—
184C2×D188—24no—
185C2×D188—24no—
186C2×D188—21no—
187C2×D188—44no—
188C2×D188—44no—
189C2×D188C2412yes—
190C2×C4×D47—24no—
191C2×C4×D47—24no—
192C2×C4×D47—216no—
193C2×C4×D47—22no—
194C2×C4×D47—28no—
195C2×C4×D47—22no—
196C2×C4×D47—22no—
197C2×C4×D47—22no—
198C2×C4×D47—28no—
199C2×C4×D47—24no—
200C2×C4×D47—44no—
201C2×C4×D47C2×D414yes—
202C2×C4×D47C2×D414yes—
203C2×C4×D47C2×D412yes—
204C2×C4×D47C2×D412yes—
205C2×C4×D47C2412yes—
206C2×C4×D47C2412yes—
207C2×Dic94—24no—
208C2×Dic94—22no—
209C2×Dic94—28no—
210C2×Dic94—24no—
211C2×Dic94—28no—
212C2×Dic94—22no—
213C2×Dic94—24no—
214C2×Dic94—22no—
215C2×Dic94—21no—
216C2×Dic94—44no—
217C2×Dic94—48no—
218C2×Dic94C2414yes—
219C2×Dic94C2412yes—
220M16×C47C2×D4116yescomplemented
221C2×C8×C47C2×D418yes—
222C2×C8×C47C2414yes—
223C4⋊C4×C47—24no—
224C4⋊C4×C47—22no—
225C4⋊C4×C47—21no—
226C4⋊C4×C47—21no—
227C4⋊C4×C47C2412yes—
228C4⋊C4×C47C2414yes—
229C4⋊C4×C47C2412yes—
230C22⋊C4×C47—24no—
231C42×C47—24no—
232(C2×D47)⋊C4—28no—
233(C2×D47)⋊C4—28no—
234(C2×D47)⋊C4—24no—
235(C2×D47)⋊C4—24no—
236(C2×D47)⋊C4—24no—
237(C2×D47)⋊C4—24no—
238C4⋊Dic47—28no—
239C4⋊Dic47—28no—
240C4⋊Dic47—24no—
241C4⋊Dic47—24no—
242#10625329—28no—
243C2×C47⋊C8—24no—
244C2×C47⋊C8C2414yes—
245Dic188—216no—
246#10625325—216no—
247#10625324—216no—
248C8×D47—216no—
249C23×C47—22no—
250C23×C47—22no—
251C23×C47#12114yes—
252C23×C47C22×D412yes—
253C23×C47C22×D411yescharacteristic
254C22×D47—22no—
255C22×D47—22no—
256C22×D47—28no—
257C22×D47—22no—
258C22×D47—22no—
259C22×D47—22no—
260C22×D47—28no—
261C22×D47—22no—
262C22×D47—44no—
263C22×D47—416no—
264C22×D47—42no—
265C22×D47—42no—
266C22×D47—42no—
267C22×D47#13714yescomplemented
268C22×D47C22×D412yes—
269C22×D47C22×D412yes—
270C2×C4×C47—24no—
271C2×C4×C47—22no—
272C2×C4×C47—22no—
273C2×C4×C47—48no—
274C2×C4×C47—42no—
275C2×C4×C47—42no—
276C2×C4×C47—44no—
277C2×C4×C47#12114yes—
278C2×C4×C47#12118yes—
279C2×C4×C47C22×D412yes—
280C2×C4×C47C22×D411yescharacteristic
281C2×C4×C47C22×D412yes—
282C2×C4×C47C22×D414yes—
283C2×C4×C47C2×#4112yes—
284C2×C4×C47C2×#4114yes—
285C2×C4×C47C2511yescharacteristic
286C22⋊D47—48no—
287C2×Dic47—28no—
288C2×Dic47—22no—
289C2×Dic47—22no—
290C2×Dic47—24no—
291C2×Dic47—22no—
292C2×Dic47—48no—
293C2×Dic47—44no—
294C2×Dic47—42no—
295C2×Dic47C22×D412yes—
296C2×Dic47C22×D412yes—
297D188—22no—
298D188—22no—
299D188—48no—
300D188—48no—
301D188—42no—
302C4×D47—24no—
303C4×D47—24no—
304C4×D47—28no—
305C4×D47—28no—
306C4×D47—22no—
307C4×D47—22no—
308C4×D47—22no—
309C4×D47—22no—
310C4×D47—48no—
311Dic94—24no—
312Dic94—22no—
313Dic94—24no—
314Dic94—22no—
315Dic94—44no—
316Dic94—48no—
317Dic94—42no—
318C8×C47C22×D418yes—
319C47⋊C8—24no—
320C2×#3056—471nomaximal, Sylow
321C22×C47—28no—
322C22×C47—22no—
323C22×C47—22no—
324C22×C47C2×#12114yes—
325C22×C47C2×#12112yes—
326C22×C47C2×#13712yes—
327C22×C47#57512yes—
328C22×C47C23×D411yescharacteristic
329C2×D47—22no—
330C2×D47—28no—
331C2×D47—22no—
332C2×D47—22no—
333C2×D47—22no—
334C2×D47—22no—
335C2×D47—416no—
336C2×D47—44no—
337C2×D47—42no—
338C2×D47—42no—
339C2×D47—42no—
340C2×D47—84no—
341C2×D47C2×#13714yescomplemented
342C4×C47—42no—
343C4×C47—42no—
344C4×C47—44no—
345C4×C47C2×#12112yes—
346C4×C47C2×#12114yes—
347C4×C47C23×D411yescharacteristic
348C4×C47C22×#4111yescharacteristic
349Dic47—22no—
350Dic47—22no—
351Dic47—44no—
352Dic47—42no—
353C22×#137—471no—
354C23×M16—471no—
355C2×#525—471no—
356C22×C22⋊Q8—471no—
357#3056—4716no—
358C2×#470—472no—
359C2×#468—472no—
360C2×#467—472no—
361C2×#465—472no—
362C2×#428D4711yescharacteristic, complemented
363C2×#417—471no—
364C2×#419—471no—
365C2×C47—24no—
366C2×C47#305614yescomplemented
367C2×C47C22×#12111yescharacteristic
368C2×C47C22×#13711yescharacteristic
369C2×C47C2×#57511yescharacteristic
370D47—24no—
371D47—42no—
372D47—82no—
373C22×#41—471no—
374C23×Q8—471no—
375C24×C4—471no—
376C2×#137—478no—
377C2×#137—948no—
378C22×Q16—472no—
379C22×SD16—472no—
380C22×M16—471no—
381C22×M16—478no—
382C22×M16—472no—
383C22×M16—948no—
384C22×M16C2×D4711yescharacteristic
385C23×C8—472no—
386#525—478no—
387#525—944no—
388C2×#123—941no—
389C2×C22⋊Q8—472no—
390C2×C22⋊Q8—472no—
391C2×C22⋊Q8—478no—
392C2×C22⋊Q8—471no—
393C2×C22⋊Q8—471no—
394C2×C22⋊Q8—941no—
395C2×C22⋊Q8—941no—
396C2×C22⋊Q8—944no—
397C2×#121—471no—
398C2×#121—471no—
399C2×#120—941no—
400C2×C4×D4—941no—
401C2×C4×D4—941no—
402C2×#117C2×D4711yescharacteristic
403C22×C4⋊C4—941no—
404C22×C4⋊C4C2×D4711yescharacteristic
405C22×C22⋊C4—941no—
406#470—4716no—
407#468—4716no—
408#467—4716no—
409#465—4716no—
410#428C2×D4718yescomplemented
411C2×#107C2×D4712yescomplemented
412C2×#106C2×D4712yescomplemented
413#419—478no—
414#417—478no—
415C2×#103—472no—
416C2×#103—472no—
417C2×#103—472no—
418C2×#102—472no—
419C47C2×#305611yescharacteristic, complemented, Sylow
420C25—471no—
421C2×#41—474no—
422C2×#41—942no—
423C2×#41—944no—
424C2×#41—944no—
425C22×Q8—472no—
426C22×Q8—471no—
427C22×Q8—474no—
428C22×Q8—942no—
429C22×Q8—941no—
430C22×Q8—944no—
431C22×Q8—944no—
432C22×D4—471no—
433C22×D4—941no—
434C22×D4—941no—
435C22×D4—941no—
436C23×C4—21no—
437C23×C4—471no—
438C23×C4—471no—
439C23×C4—471no—
440C23×C4—474no—
441C23×C4—471no—
442C23×C4—471no—
443C23×C4—474no—
444C23×C4—944no—
445C23×C4—944no—
446C23×C4—941no—
447C23×C4—941no—
448C23×C4C22×D4711yescharacteristic
449#137—9432no—
450C2×Q16—478no—
451C2×Q16—948no—
452C2×SD16—478no—
453C2×SD16—948no—
454C2×M16—474no—
455C2×M16—478no—
456C2×M16—944no—
457C2×M16—9432no—
458C2×M16—948no—
459C2×M16D18818yescomplemented
460C2×M16C22×D4714yes—
461C22×C8—472no—
462C22×C8—478no—
463C22×C8—948no—
464C22×C8C22×D4712yes—
465#123—948no—
466C22⋊Q8—478no—
467C22⋊Q8—478no—
468C22⋊Q8—474no—
469C22⋊Q8—474no—
470C22⋊Q8—948no—
471C22⋊Q8—948no—
472C22⋊Q8—944no—
473C22⋊Q8—944no—
474C22⋊Q8—942no—
475C22⋊Q8—942no—
476#121—474no—
477#121—474no—
478#121—942no—
479#121—942no—
480#120—948no—
481C4×D4—948no—
482C4×D4—948no—
483#117—22no—
484#117C22×D4714yes—
485C2×C4⋊C4—22no—
486C2×C4⋊C4—21no—
487C2×C4⋊C4—948no—
488C2×C4⋊C4—942no—
489C2×C4⋊C4—942no—
490C2×C4⋊C4—941no—
491C2×C4⋊C4—941no—
492C2×C4⋊C4C22×D4712yes—
493C2×C4⋊C4C22×D4714yes—
494C2×C4⋊C4C22×D4711yescharacteristic
495C2×C4⋊C4C22×D4711yescharacteristic
496C2×C22⋊C4—21no—
497C2×C22⋊C4—941no—
498C2×C22⋊C4—941no—
499C2×C22⋊C4—948no—
500C2×C22⋊C4—942no—
501C2×C22⋊C4—942no—
502C2×C22⋊C4—941no—
503C2×C22⋊C4—941no—
504C2×C42—21no—
505#107C22×D4718yescomplemented
506#106C22×D4718yescomplemented
507#103—478no—
508#103—478no—
509#103—478no—
510#102—478no—
511C24—471no—
512C24—471no—
513C24—474no—
514C24—944no—
515C24—944no—
516C24—941no—
517C24—1882no—
518C24D4×D4711yescharacteristic
519#41—948no—
520#41—948no—
521#41—1888no—
522C2×Q8—474no—
523C2×Q8—472no—
524C2×Q8—944no—
525C2×Q8—942no—
526C2×Q8—941no—
527C2×Q8—944no—
528C2×Q8—942no—
529C2×Q8—948no—
530C2×Q8—944no—
531C2×Q8—948no—
532C2×Q8—942no—
533C2×Q8—1884no—
534C2×Q8—1888no—
535C2×D4—472no—
536C2×D4—944no—
537C2×D4—944no—
538C2×D4—944no—
539C2×D4—941no—
540C2×D4—942no—
541C2×D4—942no—
542C2×D4—1884no—
543C2×D4—1884no—
544C2×D4—1884no—
545C22×C4—24no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—22no—
549C22×C4—44no—
550C22×C4—474no—
551C22×C4—471no—
552C22×C4—471no—
553C22×C4—474no—
554C22×C4—474no—
555C22×C4—472no—
556C22×C4—472no—
557C22×C4—472no—
558C22×C4—472no—
559C22×C4—944no—
560C22×C4—944no—
561C22×C4—944no—
562C22×C4—9416no—
563C22×C4—942no—
564C22×C4—948no—
565C22×C4—942no—
566C22×C4—942no—
567C22×C4—942no—
568C22×C4—948no—
569C22×C4—944no—
570C22×C4—941no—
571C22×C4—942no—
572C22×C4—944no—
573C22×C4—1884no—
574C22×C4—1884no—
575C22×C4C2×D18814yes—
576C22×C4D4×D4712yes—
577C22×C4D4×D4711yescharacteristic
578C22×C4#1062535414yes—
579C22×C4C23×D4712yes—
580C22×C4C23×D4711yescharacteristic
581Q16—9416no—
582SD16—9416no—
583M16—948no—
584M16—9416no—
585M16C2×D188116yescomplemented
586C2×C8—474no—
587C2×C8—944no—
588C2×C8—9416no—
589C2×C8C2×D18818yes—
590C2×C8C23×D4714yes—
591C4⋊C4—24no—
592C4⋊C4—22no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—948no—
596C4⋊C4—948no—
597C4⋊C4—944no—
598C4⋊C4—944no—
599C4⋊C4C23×D4714yes—
600C4⋊C4C23×D4712yes—
601C4⋊C4C23×D4712yes—
602C22⋊C4—24no—
603C22⋊C4—944no—
604C22⋊C4—944no—
605C22⋊C4—948no—
606C22⋊C4—948no—
607C22⋊C4—944no—
608C22⋊C4—944no—
609C42—24no—
610C23—22no—
611C23—22no—
612C23—474no—
613C23—472no—
614C23—472no—
615C23—948no—
616C23—942no—
617C23—942no—
618C23—948no—
619C23—942no—
620C23—942no—
621C23—942no—
622C23—942no—
623C23—1884no—
624C23—18816no—
625C23—1882no—
626C23—1882no—
627C23—1882no—
628C23#1309399914yes—
629C23C2×D4×D4712yes—
630C23C2×D4×D4711yescharacteristic
631Q8—944no—
632Q8—942no—
633Q8—944no—
634Q8—942no—
635Q8—1888no—
636Q8—1884no—
637Q8—1882no—
638D4—942no—
639D4—942no—
640D4—1888no—
641D4—1888no—
642D4—1888no—
643D4—1882no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—48no—
648C2×C4—42no—
649C2×C4—44no—
650C2×C4—42no—
651C2×C4—472no—
652C2×C4—472no—
653C2×C4—948no—
654C2×C4—942no—
655C2×C4—942no—
656C2×C4—948no—
657C2×C4—948no—
658C2×C4—944no—
659C2×C4—944no—
660C2×C4—942no—
661C2×C4—942no—
662C2×C4—942no—
663C2×C4—942no—
664C2×C4—942no—
665C2×C4—944no—
666C2×C4—1882no—
667C2×C4—1888no—
668C2×C4—1884no—
669C2×C4—1888no—
670C2×C4#1309399914yes—
671C2×C4#1309399918yes—
672C2×C4C2×D4×D4712yes—
673C2×C4C2×D4×D4711yescharacteristic
674C2×C4C22×D18812yes—
675C2×C4C22×D18814yes—
676C2×C4C2×#1062535412yes—
677C2×C4C2×#1062535414yes—
678C2×C4C24×D4711yescharacteristic
679C8—944no—
680C8C22×D18818yes—
681C22—22no—
682C22—22no—
683C22—28no—
684C22—474no—
685C22—942no—
686C22—948no—
687C22—942no—
688C22—942no—
689C22—942no—
690C22—942no—
691C22—3764no—
692C22—18816no—
693C22—1882no—
694C22—1882no—
695C22—1882no—
696C22—1884no—
697C22C2×#1309399914yes—
698C22C2×#1309399912yes—
699C22#137×D4712yes—
700C22#1568991912yes—
701C22C22×D4×D4711yescharacteristic
702C4—42no—
703C4—44no—
704C4—42no—
705C4—942no—
706C4—942no—
707C4—1882no—
708C4—1884no—
709C4C2×#1309399914yes—
710C4C2×#1309399912yes—
711C4C23×D18811yescharacteristic
712C4C22×#1062535411yescharacteristic
713C2—24no—
714C2—944no—
715C2—3762no—
716C2—1882no—
717C2#2025301914yesdirect product factor
718C2C22×#1309399911yescharacteristic
719C2C2×#137×D4711yescharacteristic
720C2C2×#1568991911yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#428C2
socleC23×C47C22×D4
prime radicalC2×#15689635C2
hypercenterC2×#428D47
hypocenterC47C2×#3056
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
1. C22×#13094057C2semidirect
2. C22×M16×D47C2semidirect
4. C22×#13094004C2semidirect
5. #20253019C2direct (N × H)
6. C2×#15689382C2semidirect
7. C2×#15689370C2semidirect
8. C2×#15689365C2semidirect
9. C2×#15689353C2semidirect
10. C2×#15689122C2semidirect
11. C2×#15689131C2semidirect
12. C2×C47×#428C2semidirect
17. C2×#13094057C22semidirect
18. C22×Dic188C22semidirect
19. C22×#10625325C22semidirect
23. C2×M16×D47C22semidirect
35. C2×#13094004C22semidirect
43. #15689382C22semidirect
44. #15689370C22semidirect
45. #15689365C22semidirect
46. #15689353C22semidirect
47. #15689131C22semidirect
48. #15689122C22semidirect
49. C2×#13093947C22semidirect
50. C2×#13093947C22semidirect
51. C2×#13093947C22semidirect
52. C2×#13093944C22semidirect
56. C47×#428C22semidirect
57. C2×#107×C47C22semidirect
58. C2×#106×C47C22semidirect
88. C2×Dic188C23semidirect
90. C2×#10625325C23semidirect
129. #13093947C23semidirect
130. #13093947C23semidirect
131. #13093947C23semidirect
132. #13093944C23semidirect
135. C2×M16×C47D4semidirect
148. #107×C47C23semidirect
149. #106×C47C23semidirect
220. M16×C47C2×D4semidirect
267. C22×D47#137semidirect
341. C2×D47C2×#137semidirect
362. C2×#428D47semidirect
366. C2×C47#3056semidirect
410. #428C2×D47semidirect
411. C2×#107C2×D47semidirect
412. C2×#106C2×D47semidirect
419. C47C2×#3056semidirect
459. C2×M16D188semidirect
505. #107C22×D47semidirect
506. #106C22×D47semidirect
585. M16C2×D188semidirect
717. C2#20253019direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130940572
C22×M16×D472
C2×#156896352
C22×#130940042
#202530192
C2×#156893822
C2×#156893702
C2×#156893652
C2×#156893532
C2×#156891222
C2×#156891312
C2×C47×#4282
C2×#305647