Finite Group Databasebeta

← C29×#19773 #20314673

Subgroups — C29×#19773 #20314673

Order 7424.

712 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3360C211yesmaximal, characteristic, complemented
2C29×#3324C211yesmaximal, characteristic, complemented
3C29×#3295C211yesmaximal, characteristic, complemented
4D4×D8×C29C211yesmaximal, characteristic
5C29×#1717C211yesmaximal, characteristic, complemented
6C29×#1697C211yesmaximal, characteristic, complemented
7C29×#1683C211yesmaximal, characteristic, complemented
8C29×#1681C211yesmaximal, characteristic, complemented
9C29×#1668C211yesmaximal, characteristic, complemented
10C29×#1639C211yesmaximal, characteristic, complemented
11C29×#1629C211yesmaximal, characteristic, complemented
12C29×#1628C211yesmaximal, characteristic, complemented
13C29×#1622C211yesmaximal, characteristic, complemented
14C29×#1581C211yesmaximal, characteristic, complemented
15C29×SD16⋊C8C211yesmaximal, characteristic, complemented
16C22×D8×C29—21no—
17C29×#556C2211yescharacteristic, complemented
18C29×#554C2211yescharacteristic, complemented
19D42×C29C2211yescharacteristic
20D42×C29C2211yescharacteristic
21C29×#493C2211yescharacteristic
22C29×#492C2211yescharacteristic, complemented
23C29×#488—21no—
24C29×#487C2211yescharacteristic, complemented
25C29×#486C2211yescharacteristic, complemented
26C29×#486C2211yescharacteristic, complemented
27C29×#486C2211yescharacteristic, complemented
28C29×#482—21no—
29C29×#481—21no—
30C29×#479—21no—
31C29×#476C2211yescharacteristic
32C29×#476C2211yescharacteristic, complemented
33C29×#474C2211yescharacteristic
34C29×#468—21no—
35C29×#466—21no—
36C29×#465—21no—
37C29×#463—21no—
38C29×#461C2211yescharacteristic, complemented
39C29×#460C2211yescharacteristic, complemented
40C29×#460C2211yescharacteristic, complemented
41C29×#459C2211yescharacteristic
42C29×#459C2211yescharacteristic
43C29×#450—21no—
44C29×#450—21no—
45C29×#447—21no—
46C29×#447—21no—
47C8×Q8×C29C2211yescharacteristic, complemented
48C4×SD16×C29—21no—
49C4×SD16×C29C2211yescharacteristic
50C4×D8×C29C2211yescharacteristic
51C29×#436C2211yescharacteristic, complemented
52C8×D4×C29C2211yescharacteristic
53C8×D4×C29C2211yescharacteristic, complemented
54C29×#418—21no—
55C2×C29×#102—21no—
56C29×#335C2211yescharacteristic, complemented
57C29×#335C2211yescharacteristic, complemented
58C29×#333C2211yescharacteristic, complemented
59C29×#332C2211yescharacteristic, complemented
60C29×#331C2211yescharacteristic, complemented
61C29×#331C2211yescharacteristic, complemented
62C29×Q8⋊C8C2211yescharacteristic, complemented
63C29×D4⋊C8C2211yescharacteristic
64C29×D4⋊C8C2211yescharacteristic, complemented
65C29×D4⋊C8C2211yescharacteristic, complemented
66C29×#322C2211yescharacteristic, complemented
67C22×D4×C29—21no—
68C22×D4×C29—21no—
69C22×D4×C29—21no—
70C22×D4×C29—21no—
71C2×SD16×C29—21no—
72C2×SD16×C29—21no—
73C2×SD16×C29—21no—
74C2×SD16×C29—41no—
75C2×SD16×C29D411yescharacteristic
76C2×D8×C29—21no—
77C2×D8×C29—21no—
78C2×D8×C29—21no—
79C2×D8×C29—21no—
80C2×D8×C29—44no—
81C2×D8×C29D411yescharacteristic
82C2×M16×C29—21no—
83C22×C8×C29—21no—
84C22×C8×C29—21no—
85C29×C4⋊Q8C2311yescharacteristic
86C29×C4⋊Q8C2311yescharacteristic
87C29×#127C2311yescharacteristic
88C29×#127C2311yescharacteristic
89C29×#126—41no—
90C29×#125—21no—
91C29×#124—21no—
92C29×C22⋊Q8—21no—
93C29×C22⋊Q8—21no—
94C29×C22⋊Q8—41no—
95C29×#121—21no—
96C29×#121—21no—
97C29×#121—21no—
98C29×#121—21no—
99C29×#120—41no—
100C29×#120—41no—
101C4×Q8×C29—21no—
102C4×Q8×C29C2311yescharacteristic
103C4×D4×C29—21no—
104C4×D4×C29C2311yescharacteristic
105C4×D4×C29C2311yescharacteristic
106C4×D4×C29C2311yescharacteristic
107C29×#117—21no—
108C2×C4⋊C4×C29—21no—
109C29×#107—21no—
110C29×#107D411yescharacteristic
111C29×#106—21no—
112C29×#106—21no—
113C29×#106D411yescharacteristic
114C29×C4⋊C8—21no—
115C29×C4⋊C8C2311yescharacteristic
116C29×C4⋊C8C2311yescharacteristic
117C29×C4⋊C8C2311yescharacteristic
118C29×C4⋊C8C2311yescharacteristic
119C29×#103—21no—
120C29×#103—21no—
121C29×#103—21no—
122C29×#103D411yescharacteristic
123C29×#102—21no—
124C29×#102—21no—
125C29×#102—21no—
126C29×#102—21no—
127C29×#102—21no—
128C29×#102—21no—
129C29×#102—21no—
130C29×#102—21no—
131C29×#102—21no—
132C29×#102—21no—
133C29×#102—21no—
134C29×#102—41no—
135C29×#102D411yescharacteristic
136C29×#102D411yescharacteristic
137C29×#102D411yescharacteristic
138C29×C22⋊C8—21no—
139C29×C22⋊C8—21no—
140C29×C22⋊C8—21no—
141C4×C8×C29—21no—
142C4×C8×C29C2311yescharacteristic
143C4×C8×C29C2311yescharacteristic
144C4×C8×C29C2311yescharacteristic
145C24×C29—41no—
146C24×C29—41no—
147C2×Q8×C29—21no—
148C2×Q8×C29—21no—
149C2×Q8×C29C2×D411yescharacteristic
150C2×D4×C29—21no—
151C2×D4×C29—21no—
152C2×D4×C29—21no—
153C2×D4×C29—21no—
154C2×D4×C29—21no—
155C2×D4×C29—21no—
156C2×D4×C29—41no—
157C2×D4×C29—41no—
158C2×D4×C29—41no—
159C2×D4×C29—41no—
160C2×D4×C29—42no—
161C2×D4×C29—42no—
162C2×D4×C29—42no—
163C2×D4×C29—42no—
164C2×D4×C29—81no—
165C2×D4×C29—81no—
166C2×D4×C29—81no—
167C2×D4×C29—81no—
168C2×D4×C29C2×D411yescharacteristic
169C2×D4×C29C2×D411yescharacteristic
170C2×D4×C29C2×D411yescharacteristic
171C22×C4×C29—21no—
172C22×C4×C29—21no—
173C22×C4×C29—21no—
174C22×C4×C29—41no—
175SD16×C29—22no—
176SD16×C29—42no—
177SD16×C29—81no—
178SD16×C29—81no—
179SD16×C29—82no—
180D8×C29—22no—
181D8×C29—42no—
182D8×C29—42no—
183D8×C29—42no—
184D8×C29—81no—
185M16×C29—81no—
186C2×C8×C29—21no—
187C2×C8×C29—21no—
188C2×C8×C29—21no—
189C2×C8×C29—21no—
190C2×C8×C29—21no—
191C2×C8×C29—42no—
192C2×C8×C29—81no—
193C2×C8×C29C2×D411yescharacteristic
194C2×C8×C29C2×D411yescharacteristic
195C2×C8×C29C2×D411yescharacteristic
196C2×C8×C29C2×D411yescharacteristic
197C4⋊C4×C29—21no—
198C4⋊C4×C29—21no—
199C4⋊C4×C29—21no—
200C4⋊C4×C29—21no—
201C4⋊C4×C29—21no—
202C4⋊C4×C29—41no—
203C4⋊C4×C29—41no—
204C4⋊C4×C29—41no—
205C4⋊C4×C29C2×D411yescharacteristic
206C4⋊C4×C29C2×D411yescharacteristic
207C4⋊C4×C29C2×D411yescharacteristic
208C4⋊C4×C29C2×D411yescharacteristic
209C22⋊C4×C29—21no—
210C22⋊C4×C29—21no—
211C22⋊C4×C29—21no—
212C22⋊C4×C29—41no—
213C22⋊C4×C29—41no—
214C22⋊C4×C29—41no—
215C22⋊C4×C29—41no—
216C22⋊C4×C29—41no—
217C42×C29—21no—
218C42×C29—41no—
219C42×C29C2411yescharacteristic
220#19773C2911yesmaximal, characteristic, direct product factor, Sylow
221C23×C29—21no—
222C23×C29—21no—
223C23×C29—21no—
224C23×C29—41no—
225C23×C29—41no—
226C23×C29—82no—
227C23×C29—82no—
228C23×C29—82no—
229C23×C29—82no—
230C23×C29—161no—
231C23×C29—161no—
232Q8×C29—21no—
233Q8×C29—21no—
234Q8×C29—41no—
235Q8×C29—41no—
236Q8×C29—81no—
237D4×C29—21no—
238D4×C29—21no—
239D4×C29—21no—
240D4×C29—21no—
241D4×C29—41no—
242D4×C29—41no—
243D4×C29—41no—
244D4×C29—41no—
245D4×C29—41no—
246D4×C29—41no—
247D4×C29—41no—
248D4×C29—41no—
249D4×C29—81no—
250D4×C29—81no—
251D4×C29—82no—
252D4×C29—82no—
253D4×C29—82no—
254D4×C29—82no—
255D4×C29#13512yes—
256D4×C29AGL(1,ℤ/8)12yes—
257C2×C4×C29—21no—
258C2×C4×C29—21no—
259C2×C4×C29—21no—
260C2×C4×C29—21no—
261C2×C4×C29—21no—
262C2×C4×C29—41no—
263C2×C4×C29—41no—
264C2×C4×C29—41no—
265C2×C4×C29—41no—
266C2×C4×C29—41no—
267C2×C4×C29—41no—
268C2×C4×C29—41no—
269C2×C4×C29—41no—
270C2×C4×C29—161no—
271C2×C4×C29C22×D411yescharacteristic
272C2×C4×C29C22×D411yescharacteristic
273C2×C4×C29H(5,𝔽2)11yescharacteristic
274C8×C29—21no—
275C8×C29—21no—
276C8×C29—21no—
277C8×C29—21no—
278C8×C29—41no—
279C8×C29—41no—
280C8×C29—41no—
281C8×C29—41no—
282C8×C29—41no—
283#3360C2×C2911yescharacteristic, complemented
284#3324C2×C2911yescharacteristic, complemented
285#3295C2×C2911yescharacteristic, complemented
286D4×D8C2×C2911yescharacteristic
287#1717C2×C2911yescharacteristic, complemented
288#1697C2×C2911yescharacteristic, complemented
289#1683C2×C2911yescharacteristic, complemented
290#1681C2×C2911yescharacteristic, complemented
291#1668C2×C2911yescharacteristic, complemented
292#1639C2×C2911yescharacteristic, complemented
293#1629C2×C2911yescharacteristic, complemented
294#1628C2×C2911yescharacteristic, complemented
295#1622C2×C2911yescharacteristic, complemented
296#1581C2×C2911yescharacteristic, complemented
297SD16⋊C8C2×C2911yescharacteristic, complemented
298C22×C29—22no—
299C22×C29—22no—
300C22×C29—41no—
301C22×C29—41no—
302C22×C29—41no—
303C22×C29—41no—
304C22×C29—41no—
305C22×C29—41no—
306C22×C29—41no—
307C22×C29—81no—
308C22×C29—81no—
309C22×C29—81no—
310C22×C29—81no—
311C22×C29—81no—
312C22×C29—81no—
313C22×C29—164no—
314C22×C29—164no—
315C22×C29D4211yescharacteristic
316C4×C29—21no—
317C4×C29—41no—
318C4×C29—41no—
319C4×C29—41no—
320C4×C29—41no—
321C4×C29—41no—
322C4×C29—81no—
323C4×C29—81no—
324C4×C29C2×#13511yescharacteristic
325C4×C29C2×AGL(1,ℤ/8)11yescharacteristic
326C4×C29#57611yescharacteristic
327C4×C29#57711yescharacteristic
328C22×D8—21no—
329#556C22×C2911yescharacteristic, complemented
330#554C22×C2911yescharacteristic, complemented
331D42C22×C2911yescharacteristic
332D42C22×C2911yescharacteristic
333#493C22×C2911yescharacteristic
334#492C22×C2911yescharacteristic, complemented
335#488—21no—
336#487C22×C2911yescharacteristic, complemented
337#486C22×C2911yescharacteristic, complemented
338#486C22×C2911yescharacteristic, complemented
339#486C22×C2911yescharacteristic, complemented
340#482—21no—
341#481—21no—
342#479—21no—
343#476C22×C2911yescharacteristic
344#476C22×C2911yescharacteristic, complemented
345#474C22×C2911yescharacteristic
346#468—21no—
347#466—21no—
348#465—21no—
349#463—21no—
350#461C22×C2911yescharacteristic, complemented
351#460C22×C2911yescharacteristic, complemented
352#460C22×C2911yescharacteristic, complemented
353#459C22×C2911yescharacteristic
354#459C22×C2911yescharacteristic
355#450—21no—
356#450—21no—
357#447—21no—
358#447—21no—
359C8×Q8C22×C2911yescharacteristic, complemented
360C4×SD16—21no—
361C4×SD16C22×C2911yescharacteristic
362C4×D8C22×C2911yescharacteristic
363#436C22×C2911yescharacteristic, complemented
364C8×D4C22×C2911yescharacteristic
365C8×D4C22×C2911yescharacteristic, complemented
366#418—21no—
367C2×#102—21no—
368#335C22×C2911yescharacteristic, complemented
369#335C22×C2911yescharacteristic, complemented
370#333C22×C2911yescharacteristic, complemented
371#332C22×C2911yescharacteristic, complemented
372#331C22×C2911yescharacteristic, complemented
373#331C22×C2911yescharacteristic, complemented
374Q8⋊C8C22×C2911yescharacteristic, complemented
375D4⋊C8C22×C2911yescharacteristic
376D4⋊C8C22×C2911yescharacteristic, complemented
377D4⋊C8C22×C2911yescharacteristic, complemented
378#322C22×C2911yescharacteristic, complemented
379C2×C29—42no—
380C2×C29—42no—
381C2×C29—81no—
382C2×C29—161no—
383C2×C29—161no—
384C2×C29#326511yescharacteristic
385C2×C29#328011yescharacteristic
386C2×C29#328811yescharacteristic
387C22×D4—21no—
388C22×D4—21no—
389C22×D4—21no—
390C22×D4—21no—
391C2×SD16—21no—
392C2×SD16—21no—
393C2×SD16—21no—
394C2×SD16—41no—
395C2×SD16D4×C2911yescharacteristic
396C2×D8—21no—
397C2×D8—21no—
398C2×D8—21no—
399C2×D8—21no—
400C2×D8—44no—
401C2×D8D4×C2911yescharacteristic
402C2×M16—21no—
403C22×C8—21no—
404C22×C8—21no—
405C4⋊Q8C23×C2911yescharacteristic
406C4⋊Q8C23×C2911yescharacteristic
407#127C23×C2911yescharacteristic
408#127C23×C2911yescharacteristic
409#126—41no—
410#125—21no—
411#124—21no—
412C22⋊Q8—21no—
413C22⋊Q8—21no—
414C22⋊Q8—41no—
415#121—21no—
416#121—21no—
417#121—21no—
418#121—21no—
419#120—41no—
420#120—41no—
421C4×Q8—21no—
422C4×Q8C23×C2911yescharacteristic
423C4×D4—21no—
424C4×D4C23×C2911yescharacteristic
425C4×D4C23×C2911yescharacteristic
426C4×D4C23×C2911yescharacteristic
427#117—21no—
428C2×C4⋊C4—21no—
429#107—21no—
430#107D4×C2911yescharacteristic
431#106—21no—
432#106—21no—
433#106D4×C2911yescharacteristic
434C4⋊C8—21no—
435C4⋊C8C23×C2911yescharacteristic
436C4⋊C8C23×C2911yescharacteristic
437C4⋊C8C23×C2911yescharacteristic
438C4⋊C8C23×C2911yescharacteristic
439#103—21no—
440#103—21no—
441#103—21no—
442#103D4×C2911yescharacteristic
443#102—21no—
444#102—21no—
445#102—21no—
446#102—21no—
447#102—21no—
448#102—21no—
449#102—21no—
450#102—21no—
451#102—21no—
452#102—21no—
453#102—21no—
454#102—41no—
455#102D4×C2911yescharacteristic
456#102D4×C2911yescharacteristic
457#102D4×C2911yescharacteristic
458C22⋊C8—21no—
459C22⋊C8—21no—
460C22⋊C8—21no—
461C4×C8—21no—
462C4×C8C23×C2911yescharacteristic
463C4×C8C23×C2911yescharacteristic
464C4×C8C23×C2911yescharacteristic
465C29#1977311yescharacteristic, direct product factor, Sylow
466C24—41no—
467C24—41no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8C2×D4×C2911yescharacteristic
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—41no—
478C2×D4—41no—
479C2×D4—41no—
480C2×D4—41no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—81no—
486C2×D4—81no—
487C2×D4—81no—
488C2×D4—81no—
489C2×D4C2×D4×C2911yescharacteristic
490C2×D4C2×D4×C2911yescharacteristic
491C2×D4C2×D4×C2911yescharacteristic
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—41no—
496SD16—22no—
497SD16—42no—
498SD16—81no—
499SD16—81no—
500SD16—82no—
501D8—22no—
502D8—42no—
503D8—42no—
504D8—42no—
505D8—81no—
506M16—81no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—42no—
513C2×C8—81no—
514C2×C8C2×D4×C2911yescharacteristic
515C2×C8C2×D4×C2911yescharacteristic
516C2×C8C2×D4×C2911yescharacteristic
517C2×C8C2×D4×C2911yescharacteristic
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—41no—
524C4⋊C4—41no—
525C4⋊C4—41no—
526C4⋊C4C2×D4×C2911yescharacteristic
527C4⋊C4C2×D4×C2911yescharacteristic
528C4⋊C4C2×D4×C2911yescharacteristic
529C4⋊C4C2×D4×C2911yescharacteristic
530C22⋊C4—21no—
531C22⋊C4—21no—
532C22⋊C4—21no—
533C22⋊C4—41no—
534C22⋊C4—41no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C42—21no—
539C42—41no—
540C42C24×C2911yescharacteristic
541C23—21no—
542C23—21no—
543C23—21no—
544C23—41no—
545C23—41no—
546C23—82no—
547C23—82no—
548C23—82no—
549C23—82no—
550C23—161no—
551C23—161no—
552Q8—21no—
553Q8—21no—
554Q8—41no—
555Q8—41no—
556Q8—81no—
557D4—21no—
558D4—21no—
559D4—21no—
560D4—21no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—41no—
569D4—81no—
570D4—81no—
571D4—82no—
572D4—82no—
573D4—82no—
574D4—82no—
575D4C29×#13512yes—
576D4C29×AGL(1,ℤ/8)12yes—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—161no—
591C2×C4C22×D4×C2911yescharacteristic
592C2×C4C22×D4×C2911yescharacteristic
593C2×C4C29×H(5,𝔽2)11yescharacteristic
594C8—21no—
595C8—21no—
596C8—21no—
597C8—21no—
598C8—41no—
599C8—41no—
600C8—41no—
601C8—41no—
602C8—41no—
603C22—22no—
604C22—22no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—81no—
613C22—81no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22—81no—
618C22—164no—
619C22—164no—
620C22D42×C2911yescharacteristic
621C4—21no—
622C4—41no—
623C4—41no—
624C4—41no—
625C4—41no—
626C4—41no—
627C4—81no—
628C4—81no—
629C4C2×C29×#13511yescharacteristic
630C4C2×C29×AGL(1,ℤ/8)11yescharacteristic
631C4C29×#57611yescharacteristic
632C4C29×#57711yescharacteristic
633C2—42no—
634C2—42no—
635C2—81no—
636C2—161no—
637C2—161no—
638C2C29×#326511yescharacteristic
639C2C29×#328011yescharacteristic
640C2C29×#328811yescharacteristic
subgroupG/H
center, socleC22×C29D42
commutator, Frattini, cosocleC42C24×C29
prime radicalD4×D8×C29C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C29 ◁ C42×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#3360C2semidirect
2. C29×#3324C2semidirect
3. C29×#3295C2semidirect
5. C29×#1717C2semidirect
6. C29×#1697C2semidirect
7. C29×#1683C2semidirect
8. C29×#1681C2semidirect
9. C29×#1668C2semidirect
10. C29×#1639C2semidirect
11. C29×#1629C2semidirect
12. C29×#1628C2semidirect
13. C29×#1622C2semidirect
14. C29×#1581C2semidirect
15. C29×SD16⋊C8C2semidirect
17. C29×#556C22semidirect
18. C29×#554C22semidirect
22. C29×#492C22semidirect
24. C29×#487C22semidirect
25. C29×#486C22semidirect
26. C29×#486C22semidirect
27. C29×#486C22semidirect
32. C29×#476C22semidirect
38. C29×#461C22semidirect
39. C29×#460C22semidirect
40. C29×#460C22semidirect
47. C8×Q8×C29C22semidirect
51. C29×#436C22semidirect
53. C8×D4×C29C22semidirect
56. C29×#335C22semidirect
57. C29×#335C22semidirect
58. C29×#333C22semidirect
59. C29×#332C22semidirect
60. C29×#331C22semidirect
61. C29×#331C22semidirect
62. C29×Q8⋊C8C22semidirect
64. C29×D4⋊C8C22semidirect
65. C29×D4⋊C8C22semidirect
66. C29×#322C22semidirect
220. #19773C29direct (N × H)
283. #3360C2×C29semidirect
284. #3324C2×C29semidirect
285. #3295C2×C29semidirect
287. #1717C2×C29semidirect
288. #1697C2×C29semidirect
289. #1683C2×C29semidirect
290. #1681C2×C29semidirect
291. #1668C2×C29semidirect
292. #1639C2×C29semidirect
293. #1629C2×C29semidirect
294. #1628C2×C29semidirect
295. #1622C2×C29semidirect
296. #1581C2×C29semidirect
297. SD16⋊C8C2×C29semidirect
329. #556C22×C29semidirect
330. #554C22×C29semidirect
334. #492C22×C29semidirect
336. #487C22×C29semidirect
337. #486C22×C29semidirect
338. #486C22×C29semidirect
339. #486C22×C29semidirect
344. #476C22×C29semidirect
350. #461C22×C29semidirect
351. #460C22×C29semidirect
352. #460C22×C29semidirect
359. C8×Q8C22×C29semidirect
363. #436C22×C29semidirect
365. C8×D4C22×C29semidirect
368. #335C22×C29semidirect
369. #335C22×C29semidirect
370. #333C22×C29semidirect
371. #332C22×C29semidirect
372. #331C22×C29semidirect
373. #331C22×C29semidirect
374. Q8⋊C8C22×C29semidirect
376. D4⋊C8C22×C29semidirect
377. D4⋊C8C22×C29semidirect
378. #322C22×C29semidirect
465. C29#19773direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#33602
C29×#33242
C29×#32952
D4×D8×C292
C29×#17172
C29×#16972
C29×#16832
C29×#16812
C29×#16682
C29×#16392
C29×#16292
C29×#16282
C29×#16222
C29×#15812
C29×SD16⋊C82
#1977329