Finite Group Databasebeta

← C29×#19304 #20314204

Subgroups — C29×#19304 #20314204

Order 7424.

710 conjugacy classes of subgroups.

The subgroup lattice has 628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3182C211yesmaximal, characteristic, complemented
2C29×#3110C211yesmaximal, characteristic, complemented
3C29×#3036C211yesmaximal, characteristic
4D4×M16×C29C211yesmaximal, characteristic, complemented
5C29×#1701C211yesmaximal, characteristic, complemented
6C29×#1699C211yesmaximal, characteristic, complemented
7C29×#1693C211yesmaximal, characteristic, complemented
8C29×#1685C211yesmaximal, characteristic, complemented
9C29×#1681C211yesmaximal, characteristic, complemented
10C29×#1679C211yesmaximal, characteristic, complemented
11C29×#1673C211yesmaximal, characteristic, complemented
12C29×#1665C211yesmaximal, characteristic, complemented
13C29×#1569C211yesmaximal, characteristic, complemented
14C29×#1561C211yesmaximal, characteristic, complemented
15C29×#1557C211yesmaximal, characteristic, complemented
16C2×C29×AGL(1,ℤ/8)—21no—
17C22×M16×C29—21no—
18C29×#533C2211yescharacteristic
19C29×#532C2211yescharacteristic
20C2×C4×D4×C29C2211yescharacteristic
21C29×#500C2211yescharacteristic, complemented
22C29×#492C2211yescharacteristic, complemented
23C29×#487C2211yescharacteristic, complemented
24C29×#486C2211yescharacteristic, complemented
25C29×#484—21no—
26C29×#474C2211yescharacteristic
27C29×#474C2211yescharacteristic
28C29×#468—21no—
29C29×#468—21no—
30C29×#463—21no—
31C29×#463—21no—
32C29×#461C2211yescharacteristic
33C29×#461C2211yescharacteristic
34C29×#461C2211yescharacteristic
35C29×#461C2211yescharacteristic
36C29×#459C2211yescharacteristic
37C29×#459C2211yescharacteristic
38C29×#450—21no—
39C29×#440—21no—
40C29×#440—21no—
41C29×#440—21no—
42C29×#440—21no—
43C29×#436C2211yescharacteristic
44C29×#436C2211yescharacteristic
45C29×#435—21no—
46C29×#435—21no—
47C8×D4×C29C2211yescharacteristic
48C8×D4×C29C2211yescharacteristic
49C29×#432C2211yescharacteristic
50C29×#423C2211yescharacteristic
51C29×#423C2211yescharacteristic
52C29×#417—21no—
53C29×#407—21no—
54C4×M16×C29C2211yescharacteristic
55C29×#335C2211yescharacteristic, complemented
56C29×#335C2211yescharacteristic, complemented
57C29×#334C2211yescharacteristic, complemented
58C29×#334C2211yescharacteristic, complemented
59C29×#332C2211yescharacteristic, complemented
60C29×#332C2211yescharacteristic, complemented
61C29×#332C2211yescharacteristic, complemented
62C29×#332C2211yescharacteristic, complemented
63C29×#332C2211yescharacteristic, complemented
64C29×#332C2211yescharacteristic, complemented
65C29×#331C2211yescharacteristic, complemented
66C29×#331C2211yescharacteristic, complemented
67C2×#41×C29—21no—
68C22×D4×C29D411yescharacteristic
69C23×C4×C29—21no—
70C29×AGL(1,ℤ/8)—44no—
71C2×SD16×C29—21no—
72C2×SD16×C29—21no—
73C2×SD16×C29—21no—
74C2×SD16×C29—21no—
75C2×SD16×C29—21no—
76C2×SD16×C29—21no—
77C2×D8×C29—21no—
78C2×D8×C29—21no—
79C2×M16×C29—21no—
80C2×M16×C29—21no—
81C2×M16×C29—21no—
82C2×M16×C29—21no—
83C2×M16×C29—44no—
84C2×M16×C29D411yescharacteristic
85C2×M16×C29D411yescharacteristic
86C22×C8×C29—21no—
87C22×C8×C29—21no—
88C29×C4⋊Q8C2311yescharacteristic
89C29×C4⋊Q8C2311yescharacteristic
90C29×C4⋊Q8C2311yescharacteristic
91C29×#127C2311yescharacteristic
92C29×#125—21no—
93C29×#124—21no—
94C29×C22⋊Q8—21no—
95C29×C22⋊Q8—21no—
96C29×#121—21no—
97C29×#121—21no—
98C4×Q8×C29—21no—
99C4×Q8×C29—21no—
100C4×D4×C29—21no—
101C4×D4×C29—21no—
102C4×D4×C29—21no—
103C4×D4×C29—21no—
104C4×D4×C29D411yescharacteristic
105C4×D4×C29D411yescharacteristic
106C4×D4×C29C2311yescharacteristic
107C4×D4×C29C2311yescharacteristic
108C29×#117—21no—
109C2×C4⋊C4×C29D411yescharacteristic
110C2×C22⋊C4×C29—21no—
111C2×C42×C29C2311yescharacteristic
112C29×#107—21no—
113C29×#107—21no—
114C29×#107—21no—
115C29×#107—21no—
116C29×C4⋊C8—21no—
117C29×C4⋊C8—21no—
118C29×C4⋊C8C2311yescharacteristic
119C29×C4⋊C8C2311yescharacteristic
120C29×C4⋊C8C2311yescharacteristic
121C29×C4⋊C8C2311yescharacteristic
122C29×C4⋊C8C2311yescharacteristic
123C29×C4⋊C8C2311yescharacteristic
124C29×#103—21no—
125C29×#103—21no—
126C29×#103—21no—
127C29×#103—21no—
128C29×#103—21no—
129C29×#103—21no—
130C29×#102—21no—
131C29×#102—21no—
132C29×#102—21no—
133C29×#102—21no—
134C29×#102—21no—
135C29×#102—21no—
136C29×C22⋊C8—21no—
137C29×C22⋊C8—21no—
138C29×C22⋊C8—21no—
139C29×C22⋊C8—21no—
140C29×C22⋊C8—21no—
141C29×#97—21no—
142C29×#97D411yescharacteristic
143C29×#97D411yescharacteristic
144C4×C8×C29C2311yescharacteristic
145C4×C8×C29C2311yescharacteristic
146C24×C29—21no—
147#41×C29—42no—
148#41×C29—42no—
149C2×Q8×C29—21no—
150C2×Q8×C29—21no—
151C2×Q8×C29—21no—
152C2×D4×C29—22no—
153C2×D4×C29—21no—
154C2×D4×C29—21no—
155C2×D4×C29—21no—
156C2×D4×C29—21no—
157C2×D4×C29—41no—
158C2×D4×C29—41no—
159C2×D4×C29C2×D411yescharacteristic
160C2×D4×C29C2×D411yescharacteristic
161C22×C4×C29—21no—
162C22×C4×C29—21no—
163C22×C4×C29—21no—
164C22×C4×C29—21no—
165C22×C4×C29—21no—
166C22×C4×C29—42no—
167C22×C4×C29—42no—
168C22×C4×C29—41no—
169C22×C4×C29C2×D411yescharacteristic
170C22×C4×C29C2×D411yescharacteristic
171C22×C4×C29#4111yescharacteristic
172SD16×C29—42no—
173SD16×C29—42no—
174SD16×C29—42no—
175SD16×C29—42no—
176SD16×C29—42no—
177SD16×C29—42no—
178D8×C29—42no—
179D8×C29—42no—
180M16×C29—22no—
181M16×C29—41no—
182M16×C29—42no—
183M16×C29—42no—
184M16×C29—42no—
185M16×C29—42no—
186C2×C8×C29—21no—
187C2×C8×C29—21no—
188C2×C8×C29—21no—
189C2×C8×C29—21no—
190C2×C8×C29—21no—
191C2×C8×C29—21no—
192C2×C8×C29—42no—
193C2×C8×C29—42no—
194C2×C8×C29C2×D411yescharacteristic
195C2×C8×C29C2×D411yescharacteristic
196C2×C8×C29C2×D411yescharacteristic
197C2×C8×C29C2×D411yescharacteristic
198C4⋊C4×C29—21no—
199C4⋊C4×C29—21no—
200C4⋊C4×C29—21no—
201C4⋊C4×C29—21no—
202C4⋊C4×C29—21no—
203C4⋊C4×C29—21no—
204C4⋊C4×C29—21no—
205C4⋊C4×C29—41no—
206C4⋊C4×C29—41no—
207C4⋊C4×C29C2×D411yescharacteristic
208C4⋊C4×C29C2×D411yescharacteristic
209C22⋊C4×C29—21no—
210C22⋊C4×C29—21no—
211C22⋊C4×C29—21no—
212C22⋊C4×C29—21no—
213C22⋊C4×C29—41no—
214C22⋊C4×C29—41no—
215C22⋊C4×C29—41no—
216C42×C29—41no—
217C42×C29C2×D411yescharacteristic
218C42×C29C2×D411yescharacteristic
219C42×C29#4111yescharacteristic
220C42×C29C2411yescharacteristic
221#19304C2911yesmaximal, characteristic, direct product factor, Sylow
222C23×C29—21no—
223C23×C29—21no—
224C23×C29—42no—
225C23×C29—42no—
226C23×C29—41no—
227C23×C29—81no—
228C23×C29#12111yescharacteristic
229Q8×C29—41no—
230Q8×C29—41no—
231Q8×C29—41no—
232Q8×C29—41no—
233Q8×C29—41no—
234Q8×C29—41no—
235D4×C29—21no—
236D4×C29—21no—
237D4×C29—21no—
238D4×C29—42no—
239D4×C29—41no—
240D4×C29—41no—
241D4×C29—41no—
242D4×C29—41no—
243D4×C29—81no—
244D4×C29—82no—
245D4×C29AGL(1,ℤ/8)12yes—
246C2×C4×C29—21no—
247C2×C4×C29—21no—
248C2×C4×C29—21no—
249C2×C4×C29—21no—
250C2×C4×C29—21no—
251C2×C4×C29—21no—
252C2×C4×C29—41no—
253C2×C4×C29—42no—
254C2×C4×C29—42no—
255C2×C4×C29—42no—
256C2×C4×C29—41no—
257C2×C4×C29—41no—
258C2×C4×C29—41no—
259C2×C4×C29—41no—
260C2×C4×C29—41no—
261C2×C4×C29—41no—
262C2×C4×C29—41no—
263C2×C4×C29—82no—
264C2×C4×C29#12111yescharacteristic
265C2×C4×C29#12111yescharacteristic
266C2×C4×C29#12111yescharacteristic
267C2×C4×C29C22×D411yescharacteristic
268C2×C4×C29C22×D411yescharacteristic
269C2×C4×C29C2×#4111yescharacteristic
270C8×C29—21no—
271C8×C29—21no—
272C8×C29—21no—
273C8×C29—41no—
274C8×C29—41no—
275C8×C29—41no—
276C8×C29—41no—
277C8×C29—41no—
278C8×C29—41no—
279C8×C29AGL(1,ℤ/8)12yescomplemented
280#3182C2×C2911yescharacteristic, complemented
281#3110C2×C2911yescharacteristic, complemented
282#3036C2×C2911yescharacteristic
283D4×M16C2×C2911yescharacteristic, complemented
284#1701C2×C2911yescharacteristic, complemented
285#1699C2×C2911yescharacteristic, complemented
286#1693C2×C2911yescharacteristic, complemented
287#1685C2×C2911yescharacteristic, complemented
288#1681C2×C2911yescharacteristic, complemented
289#1679C2×C2911yescharacteristic, complemented
290#1673C2×C2911yescharacteristic, complemented
291#1665C2×C2911yescharacteristic, complemented
292#1569C2×C2911yescharacteristic, complemented
293#1561C2×C2911yescharacteristic, complemented
294#1557C2×C2911yescharacteristic, complemented
295C22×C29—21no—
296C22×C29—21no—
297C22×C29—22no—
298C22×C29—21no—
299C22×C29—41no—
300C22×C29—41no—
301C22×C29—41no—
302C22×C29—41no—
303C22×C29—41no—
304C22×C29—84no—
305C22×C29—81no—
306C22×C29—81no—
307C22×C29—81no—
308C22×C29C2×#12111yescharacteristic
309C4×C29—21no—
310C4×C29—21no—
311C4×C29—21no—
312C4×C29—21no—
313C4×C29—41no—
314C4×C29—41no—
315C4×C29—81no—
316C4×C29—81no—
317C4×C29—81no—
318C4×C29C2×AGL(1,ℤ/8)11yescharacteristic
319C4×C29C2×AGL(1,ℤ/8)11yescharacteristic
320C4×C29#57511yescharacteristic
321C4×C29#57511yescharacteristic
322C2×AGL(1,ℤ/8)—21no—
323C22×M16—21no—
324#533C22×C2911yescharacteristic
325#532C22×C2911yescharacteristic
326C2×C4×D4C22×C2911yescharacteristic
327#500C22×C2911yescharacteristic, complemented
328#492C22×C2911yescharacteristic, complemented
329#487C22×C2911yescharacteristic, complemented
330#486C22×C2911yescharacteristic, complemented
331#484—21no—
332#474C22×C2911yescharacteristic
333#474C22×C2911yescharacteristic
334#468—21no—
335#468—21no—
336#463—21no—
337#463—21no—
338#461C22×C2911yescharacteristic
339#461C22×C2911yescharacteristic
340#461C22×C2911yescharacteristic
341#461C22×C2911yescharacteristic
342#459C22×C2911yescharacteristic
343#459C22×C2911yescharacteristic
344#450—21no—
345#440—21no—
346#440—21no—
347#440—21no—
348#440—21no—
349#436C22×C2911yescharacteristic
350#436C22×C2911yescharacteristic
351#435—21no—
352#435—21no—
353C8×D4C22×C2911yescharacteristic
354C8×D4C22×C2911yescharacteristic
355#432C22×C2911yescharacteristic
356#423C22×C2911yescharacteristic
357#423C22×C2911yescharacteristic
358#417—21no—
359#407—21no—
360C4×M16C22×C2911yescharacteristic
361#335C22×C2911yescharacteristic, complemented
362#335C22×C2911yescharacteristic, complemented
363#334C22×C2911yescharacteristic, complemented
364#334C22×C2911yescharacteristic, complemented
365#332C22×C2911yescharacteristic, complemented
366#332C22×C2911yescharacteristic, complemented
367#332C22×C2911yescharacteristic, complemented
368#332C22×C2911yescharacteristic, complemented
369#332C22×C2911yescharacteristic, complemented
370#332C22×C2911yescharacteristic, complemented
371#331C22×C2911yescharacteristic, complemented
372#331C22×C2911yescharacteristic, complemented
373C2×C29—41no—
374C2×C29—42no—
375C2×C29—81no—
376C2×C29—161no—
377C2×C29#303611yescharacteristic
378C2×C29#305511yescharacteristic
379C2×C29#306911yescharacteristic
380C2×#41—21no—
381C22×D4D4×C2911yescharacteristic
382C23×C4—21no—
383AGL(1,ℤ/8)—44no—
384C2×SD16—21no—
385C2×SD16—21no—
386C2×SD16—21no—
387C2×SD16—21no—
388C2×SD16—21no—
389C2×SD16—21no—
390C2×D8—21no—
391C2×D8—21no—
392C2×M16—21no—
393C2×M16—21no—
394C2×M16—21no—
395C2×M16—21no—
396C2×M16—44no—
397C2×M16D4×C2911yescharacteristic
398C2×M16D4×C2911yescharacteristic
399C22×C8—21no—
400C22×C8—21no—
401C4⋊Q8C23×C2911yescharacteristic
402C4⋊Q8C23×C2911yescharacteristic
403C4⋊Q8C23×C2911yescharacteristic
404#127C23×C2911yescharacteristic
405#125—21no—
406#124—21no—
407C22⋊Q8—21no—
408C22⋊Q8—21no—
409#121—21no—
410#121—21no—
411C4×Q8—21no—
412C4×Q8—21no—
413C4×D4—21no—
414C4×D4—21no—
415C4×D4—21no—
416C4×D4—21no—
417C4×D4D4×C2911yescharacteristic
418C4×D4D4×C2911yescharacteristic
419C4×D4C23×C2911yescharacteristic
420C4×D4C23×C2911yescharacteristic
421#117—21no—
422C2×C4⋊C4D4×C2911yescharacteristic
423C2×C22⋊C4—21no—
424C2×C42C23×C2911yescharacteristic
425#107—21no—
426#107—21no—
427#107—21no—
428#107—21no—
429C4⋊C8—21no—
430C4⋊C8—21no—
431C4⋊C8C23×C2911yescharacteristic
432C4⋊C8C23×C2911yescharacteristic
433C4⋊C8C23×C2911yescharacteristic
434C4⋊C8C23×C2911yescharacteristic
435C4⋊C8C23×C2911yescharacteristic
436C4⋊C8C23×C2911yescharacteristic
437#103—21no—
438#103—21no—
439#103—21no—
440#103—21no—
441#103—21no—
442#103—21no—
443#102—21no—
444#102—21no—
445#102—21no—
446#102—21no—
447#102—21no—
448#102—21no—
449C22⋊C8—21no—
450C22⋊C8—21no—
451C22⋊C8—21no—
452C22⋊C8—21no—
453C22⋊C8—21no—
454#97—21no—
455#97D4×C2911yescharacteristic
456#97D4×C2911yescharacteristic
457C4×C8C23×C2911yescharacteristic
458C4×C8C23×C2911yescharacteristic
459C29#1930411yescharacteristic, direct product factor, Sylow
460C24—21no—
461#41—42no—
462#41—42no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×D4—22no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—41no—
472C2×D4—41no—
473C2×D4C2×D4×C2911yescharacteristic
474C2×D4C2×D4×C2911yescharacteristic
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—41no—
483C22×C4C2×D4×C2911yescharacteristic
484C22×C4C2×D4×C2911yescharacteristic
485C22×C4#41×C2911yescharacteristic
486SD16—42no—
487SD16—42no—
488SD16—42no—
489SD16—42no—
490SD16—42no—
491SD16—42no—
492D8—42no—
493D8—42no—
494M16—22no—
495M16—41no—
496M16—42no—
497M16—42no—
498M16—42no—
499M16—42no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—42no—
507C2×C8—42no—
508C2×C8C2×D4×C2911yescharacteristic
509C2×C8C2×D4×C2911yescharacteristic
510C2×C8C2×D4×C2911yescharacteristic
511C2×C8C2×D4×C2911yescharacteristic
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—41no—
520C4⋊C4—41no—
521C4⋊C4C2×D4×C2911yescharacteristic
522C4⋊C4C2×D4×C2911yescharacteristic
523C22⋊C4—21no—
524C22⋊C4—21no—
525C22⋊C4—21no—
526C22⋊C4—21no—
527C22⋊C4—41no—
528C22⋊C4—41no—
529C22⋊C4—41no—
530C42—41no—
531C42C2×D4×C2911yescharacteristic
532C42C2×D4×C2911yescharacteristic
533C42#41×C2911yescharacteristic
534C42C24×C2911yescharacteristic
535C23—21no—
536C23—21no—
537C23—42no—
538C23—42no—
539C23—41no—
540C23—81no—
541C23C29×#12111yescharacteristic
542Q8—41no—
543Q8—41no—
544Q8—41no—
545Q8—41no—
546Q8—41no—
547Q8—41no—
548D4—21no—
549D4—21no—
550D4—21no—
551D4—42no—
552D4—41no—
553D4—41no—
554D4—41no—
555D4—41no—
556D4—81no—
557D4—82no—
558D4C29×AGL(1,ℤ/8)12yes—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—41no—
566C2×C4—42no—
567C2×C4—42no—
568C2×C4—42no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—82no—
577C2×C4C29×#12111yescharacteristic
578C2×C4C29×#12111yescharacteristic
579C2×C4C29×#12111yescharacteristic
580C2×C4C22×D4×C2911yescharacteristic
581C2×C4C22×D4×C2911yescharacteristic
582C2×C4C2×#41×C2911yescharacteristic
583C8—21no—
584C8—21no—
585C8—21no—
586C8—41no—
587C8—41no—
588C8—41no—
589C8—41no—
590C8—41no—
591C8—41no—
592C8C29×AGL(1,ℤ/8)12yescomplemented
593C22—21no—
594C22—21no—
595C22—22no—
596C22—21no—
597C22—41no—
598C22—41no—
599C22—41no—
600C22—41no—
601C22—41no—
602C22—84no—
603C22—81no—
604C22—81no—
605C22—81no—
606C22C2×C29×#12111yescharacteristic
607C4—21no—
608C4—21no—
609C4—21no—
610C4—21no—
611C4—41no—
612C4—41no—
613C4—81no—
614C4—81no—
615C4—81no—
616C4C2×C29×AGL(1,ℤ/8)11yescharacteristic
617C4C2×C29×AGL(1,ℤ/8)11yescharacteristic
618C4C29×#57511yescharacteristic
619C4C29×#57511yescharacteristic
620C2—41no—
621C2—42no—
622C2—81no—
623C2—161no—
624C2C29×#303611yescharacteristic
625C2C29×#305511yescharacteristic
626C2C29×#306911yescharacteristic
subgroupG/H
center, socleC22×C29C2×#121
commutator, Frattini, cosocleC42C24×C29
prime radicalC29×#3036C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C29 ◁ C2×C42×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#3182C2semidirect
2. C29×#3110C2semidirect
4. D4×M16×C29C2semidirect
5. C29×#1701C2semidirect
6. C29×#1699C2semidirect
7. C29×#1693C2semidirect
8. C29×#1685C2semidirect
9. C29×#1681C2semidirect
10. C29×#1679C2semidirect
11. C29×#1673C2semidirect
12. C29×#1665C2semidirect
13. C29×#1569C2semidirect
14. C29×#1561C2semidirect
15. C29×#1557C2semidirect
21. C29×#500C22semidirect
22. C29×#492C22semidirect
23. C29×#487C22semidirect
24. C29×#486C22semidirect
55. C29×#335C22semidirect
56. C29×#335C22semidirect
57. C29×#334C22semidirect
58. C29×#334C22semidirect
59. C29×#332C22semidirect
60. C29×#332C22semidirect
61. C29×#332C22semidirect
62. C29×#332C22semidirect
63. C29×#332C22semidirect
64. C29×#332C22semidirect
65. C29×#331C22semidirect
66. C29×#331C22semidirect
221. #19304C29direct (N × H)
279. C8×C29AGL(1,ℤ/8)semidirect
280. #3182C2×C29semidirect
281. #3110C2×C29semidirect
283. D4×M16C2×C29semidirect
284. #1701C2×C29semidirect
285. #1699C2×C29semidirect
286. #1693C2×C29semidirect
287. #1685C2×C29semidirect
288. #1681C2×C29semidirect
289. #1679C2×C29semidirect
290. #1673C2×C29semidirect
291. #1665C2×C29semidirect
292. #1569C2×C29semidirect
293. #1561C2×C29semidirect
294. #1557C2×C29semidirect
327. #500C22×C29semidirect
328. #492C22×C29semidirect
329. #487C22×C29semidirect
330. #486C22×C29semidirect
361. #335C22×C29semidirect
362. #335C22×C29semidirect
363. #334C22×C29semidirect
364. #334C22×C29semidirect
365. #332C22×C29semidirect
366. #332C22×C29semidirect
367. #332C22×C29semidirect
368. #332C22×C29semidirect
369. #332C22×C29semidirect
370. #332C22×C29semidirect
371. #331C22×C29semidirect
372. #331C22×C29semidirect
459. C29#19304direct (N × H)
592. C8C29×AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C29×#31822
C29×#31102
C29×#30362
D4×M16×C292
C29×#17012
C29×#16992
C29×#16932
C29×#16852
C29×#16812
C29×#16792
C29×#16732
C29×#16652
C29×#15692
C29×#15612
C29×#15572
#1930429