Finite Group Databasebeta

← C29×#19764 #20314664

Subgroups — C29×#19764 #20314664

Order 7424.

704 conjugacy classes of subgroups.

The subgroup lattice has 618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3386C211yesmaximal, characteristic, complemented
2C29×#3359C211yesmaximal, characteristic, complemented
3D4×SD16×C29C211yesmaximal, characteristic
4D4×SD16×C29C211yesmaximal, characteristic
5C29×#1714C211yesmaximal, characteristic, complemented
6C29×#1686C211yesmaximal, characteristic, complemented
7C29×#1679C211yesmaximal, characteristic, complemented
8C29×#1673C211yesmaximal, characteristic, complemented
9C29×#1666C211yesmaximal, characteristic, complemented
10C29×#1651C211yesmaximal, characteristic, complemented
11C29×#1651C211yesmaximal, characteristic, complemented
12C29×#1639C211yesmaximal, characteristic
13C29×#1626C211yesmaximal, characteristic, complemented
14C29×#1582C211yesmaximal, characteristic, complemented
15C29×SD16⋊C8C211yesmaximal, characteristic, complemented
16C22×SD16×C29—21no—
17C22×SD16×C29—21no—
18C29×#557C2211yescharacteristic, complemented
19D4×Q8×C29C2211yescharacteristic
20D4×Q8×C29C2211yescharacteristic
21D42×C29C2211yescharacteristic
22C29×#501—21no—
23C29×#500C2211yescharacteristic, complemented
24C29×#498C2211yescharacteristic, complemented
25C29×#492C2211yescharacteristic
26C29×#492C2211yescharacteristic
27C29×#487—21no—
28C29×#487C2211yescharacteristic, complemented
29C29×#486C2211yescharacteristic
30C29×#478—21no—
31C29×#477—21no—
32C29×#475—21no—
33C29×#475C2211yescharacteristic, complemented
34C29×#475C2211yescharacteristic, complemented
35C29×#474C2211yescharacteristic
36C29×#465—21no—
37C29×#465—21no—
38C29×#461—21no—
39C29×#461C2211yescharacteristic
40C29×#461C2211yescharacteristic
41C29×#461C2211yescharacteristic
42C29×#460C2211yescharacteristic
43C29×#460C2211yescharacteristic
44C29×#450—21no—
45C29×#450—21no—
46C29×#448—21no—
47C29×#448—21no—
48C29×#446C2211yescharacteristic, complemented
49C8×Q8×C29C2211yescharacteristic, complemented
50C29×#440—21no—
51C4×SD16×C29—21no—
52C4×SD16×C29C2211yescharacteristic
53C4×SD16×C29C2211yescharacteristic
54C8×D4×C29C2211yescharacteristic
55C8×D4×C29C2211yescharacteristic
56C29×#335C2211yescharacteristic, complemented
57C29×#334C2211yescharacteristic, complemented
58C29×#332C2211yescharacteristic, complemented
59C29×#332C2211yescharacteristic, complemented
60C29×#332C2211yescharacteristic, complemented
61C29×#331C2211yescharacteristic
62C29×Q8⋊C8C2211yescharacteristic, complemented
63C29×Q8⋊C8C2211yescharacteristic, complemented
64C29×D4⋊C8C2211yescharacteristic
65C29×D4⋊C8C2211yescharacteristic
66C29×#322C2211yescharacteristic, complemented
67C22×Q8×C29—21no—
68C22×Q8×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—21no—
75C2×SD16×C29—21no—
76C2×SD16×C29—21no—
77C2×SD16×C29—21no—
78C2×SD16×C29—21no—
79C2×SD16×C29—21no—
80C2×SD16×C29—44no—
81C2×SD16×C29—44no—
82C2×SD16×C29D411yescharacteristic
83C2×SD16×C29D411yescharacteristic
84C22×C8×C29—21no—
85C22×C8×C29—21no—
86C29×C4⋊Q8—21no—
87C29×C4⋊Q8—21no—
88C29×C4⋊Q8—21no—
89C29×C4⋊Q8C2311yescharacteristic
90C29×C4⋊Q8C2311yescharacteristic
91C29×C4⋊Q8C2311yescharacteristic
92C29×#127C2311yescharacteristic
93C29×#125—21no—
94C29×#125—41no—
95C29×C22⋊Q8—21no—
96C29×C22⋊Q8—21no—
97C29×C22⋊Q8—41no—
98C29×C22⋊Q8—41no—
99C29×#121—21no—
100C29×#121—21no—
101C29×#120—41no—
102C4×Q8×C29—21no—
103C4×Q8×C29—21no—
104C4×Q8×C29C2311yescharacteristic
105C4×Q8×C29C2311yescharacteristic
106C4×D4×C29—21no—
107C4×D4×C29—21no—
108C4×D4×C29C2311yescharacteristic
109C4×D4×C29C2311yescharacteristic
110C29×#107—21no—
111C29×#107—21no—
112C29×#107—21no—
113C29×#106—21no—
114C29×#106—21no—
115C29×#106—41no—
116C29×#106D411yescharacteristic
117C29×#106D411yescharacteristic
118C29×C4⋊C8—21no—
119C29×C4⋊C8—21no—
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×#103—21no—
131C29×#103D411yescharacteristic
132C29×#103D411yescharacteristic
133C29×#102—21no—
134C29×#102—21no—
135C29×#102—21no—
136C29×#102—41no—
137C29×#102D411yescharacteristic
138C29×#102D411yescharacteristic
139C29×C22⋊C8—21no—
140C29×C22⋊C8—21no—
141C29×#97—21no—
142C4×C8×C29—21no—
143C4×C8×C29C2311yescharacteristic
144C4×C8×C29C2311yescharacteristic
145C4×C8×C29C2311yescharacteristic
146C24×C29—41no—
147C2×Q8×C29—21no—
148C2×Q8×C29—21no—
149C2×Q8×C29—21no—
150C2×Q8×C29—41no—
151C2×Q8×C29—41no—
152C2×Q8×C29—42no—
153C2×Q8×C29—42no—
154C2×Q8×C29—81no—
155C2×Q8×C29—81no—
156C2×Q8×C29C2×D411yescharacteristic
157C2×Q8×C29C2×D411yescharacteristic
158C2×D4×C29—21no—
159C2×D4×C29—21no—
160C2×D4×C29—21no—
161C2×D4×C29—41no—
162C2×D4×C29—41no—
163C2×D4×C29—42no—
164C2×D4×C29—42no—
165C2×D4×C29—81no—
166C2×D4×C29—81no—
167C2×D4×C29C2×D411yescharacteristic
168C2×D4×C29C2×D411yescharacteristic
169C22×C4×C29—21no—
170C22×C4×C29—21no—
171C22×C4×C29—41no—
172C22×C4×C29—41no—
173SD16×C29—22no—
174SD16×C29—42no—
175SD16×C29—42no—
176SD16×C29—42no—
177SD16×C29—42no—
178SD16×C29—42no—
179SD16×C29—42no—
180SD16×C29—42no—
181SD16×C29—81no—
182SD16×C29—81no—
183SD16×C29SD1614yescomplemented
184C2×C8×C29—21no—
185C2×C8×C29—21no—
186C2×C8×C29—21no—
187C2×C8×C29—21no—
188C2×C8×C29—21no—
189C2×C8×C29—42no—
190C2×C8×C29—42no—
191C2×C8×C29C2×D411yescharacteristic
192C2×C8×C29C2×D411yescharacteristic
193C2×C8×C29C2×D411yescharacteristic
194C2×C8×C29C2×D411yescharacteristic
195C4⋊C4×C29—21no—
196C4⋊C4×C29—21no—
197C4⋊C4×C29—21no—
198C4⋊C4×C29—21no—
199C4⋊C4×C29—21no—
200C4⋊C4×C29—21no—
201C4⋊C4×C29—21no—
202C4⋊C4×C29—21no—
203C4⋊C4×C29—41no—
204C4⋊C4×C29—41no—
205C4⋊C4×C29—41no—
206C4⋊C4×C29—41no—
207C4⋊C4×C29—41no—
208C4⋊C4×C29C2×D411yescharacteristic
209C4⋊C4×C29C2×D411yescharacteristic
210C4⋊C4×C29C2×D411yescharacteristic
211C4⋊C4×C29C2×D411yescharacteristic
212C22⋊C4×C29—21no—
213C22⋊C4×C29—21no—
214C22⋊C4×C29—41no—
215C22⋊C4×C29—41no—
216C22⋊C4×C29—41no—
217C42×C29—21no—
218C42×C29—21no—
219C42×C29—41no—
220C42×C29C2411yescharacteristic
221#19764C2911yesmaximal, characteristic, direct product factor, Sylow
222C23×C29—21no—
223C23×C29—21no—
224C23×C29—41no—
225C23×C29—82no—
226C23×C29—82no—
227C23×C29—161no—
228Q8×C29—21no—
229Q8×C29—21no—
230Q8×C29—21no—
231Q8×C29—41no—
232Q8×C29—41no—
233Q8×C29—41no—
234Q8×C29—41no—
235Q8×C29—41no—
236Q8×C29—41no—
237Q8×C29—82no—
238Q8×C29—82no—
239Q8×C29C2×SD1612yescomplemented
240D4×C29—21no—
241D4×C29—21no—
242D4×C29—41no—
243D4×C29—41no—
244D4×C29—41no—
245D4×C29—41no—
246D4×C29—81no—
247D4×C29—82no—
248D4×C29—82no—
249D4×C29C2×SD1612yes—
250D4×C29AGL(1,ℤ/8)12yes—
251C2×C4×C29—21no—
252C2×C4×C29—21no—
253C2×C4×C29—21no—
254C2×C4×C29—21no—
255C2×C4×C29—21no—
256C2×C4×C29—21no—
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—41no—
264C2×C4×C29—82no—
265C2×C4×C29—82no—
266C2×C4×C29C22×D411yescharacteristic
267C2×C4×C29C22×D411yescharacteristic
268C2×C4×C29H(5,𝔽2)11yescharacteristic
269C8×C29—21no—
270C8×C29—21no—
271C8×C29—21no—
272C8×C29—41no—
273C8×C29—41no—
274C8×C29—41no—
275C8×C29—41no—
276C8×C29—41no—
277C8×C29C2×SD1612yescomplemented
278#3386C2×C2911yescharacteristic, complemented
279#3359C2×C2911yescharacteristic, complemented
280D4×SD16C2×C2911yescharacteristic
281D4×SD16C2×C2911yescharacteristic
282#1714C2×C2911yescharacteristic, complemented
283#1686C2×C2911yescharacteristic, complemented
284#1679C2×C2911yescharacteristic, complemented
285#1673C2×C2911yescharacteristic, complemented
286#1666C2×C2911yescharacteristic, complemented
287#1651C2×C2911yescharacteristic, complemented
288#1651C2×C2911yescharacteristic, complemented
289#1639C2×C2911yescharacteristic
290#1626C2×C2911yescharacteristic, complemented
291#1582C2×C2911yescharacteristic, complemented
292SD16⋊C8C2×C2911yescharacteristic, complemented
293C22×C29—22no—
294C22×C29—22no—
295C22×C29—41no—
296C22×C29—41no—
297C22×C29—41no—
298C22×C29—41no—
299C22×C29—81no—
300C22×C29—81no—
301C22×C29—81no—
302C22×C29—164no—
303C22×C29D4211yescharacteristic
304C4×C29—22no—
305C4×C29—21no—
306C4×C29—41no—
307C4×C29—41no—
308C4×C29—41no—
309C4×C29—41no—
310C4×C29—41no—
311C4×C29—81no—
312C4×C29—81no—
313C4×C29—81no—
314C4×C29C22×SD1611yescharacteristic
315C4×C29C2×AGL(1,ℤ/8)11yescharacteristic
316C4×C29#57711yescharacteristic
317C4×C29#57711yescharacteristic
318C22×SD16—21no—
319C22×SD16—21no—
320#557C22×C2911yescharacteristic, complemented
321D4×Q8C22×C2911yescharacteristic
322D4×Q8C22×C2911yescharacteristic
323D42C22×C2911yescharacteristic
324#501—21no—
325#500C22×C2911yescharacteristic, complemented
326#498C22×C2911yescharacteristic, complemented
327#492C22×C2911yescharacteristic
328#492C22×C2911yescharacteristic
329#487—21no—
330#487C22×C2911yescharacteristic, complemented
331#486C22×C2911yescharacteristic
332#478—21no—
333#477—21no—
334#475—21no—
335#475C22×C2911yescharacteristic, complemented
336#475C22×C2911yescharacteristic, complemented
337#474C22×C2911yescharacteristic
338#465—21no—
339#465—21no—
340#461—21no—
341#461C22×C2911yescharacteristic
342#461C22×C2911yescharacteristic
343#461C22×C2911yescharacteristic
344#460C22×C2911yescharacteristic
345#460C22×C2911yescharacteristic
346#450—21no—
347#450—21no—
348#448—21no—
349#448—21no—
350#446C22×C2911yescharacteristic, complemented
351C8×Q8C22×C2911yescharacteristic, complemented
352#440—21no—
353C4×SD16—21no—
354C4×SD16C22×C2911yescharacteristic
355C4×SD16C22×C2911yescharacteristic
356C8×D4C22×C2911yescharacteristic
357C8×D4C22×C2911yescharacteristic
358#335C22×C2911yescharacteristic, complemented
359#334C22×C2911yescharacteristic, complemented
360#332C22×C2911yescharacteristic, complemented
361#332C22×C2911yescharacteristic, complemented
362#332C22×C2911yescharacteristic, complemented
363#331C22×C2911yescharacteristic
364Q8⋊C8C22×C2911yescharacteristic, complemented
365Q8⋊C8C22×C2911yescharacteristic, complemented
366D4⋊C8C22×C2911yescharacteristic
367D4⋊C8C22×C2911yescharacteristic
368#322C22×C2911yescharacteristic, complemented
369C2×C29—42no—
370C2×C29—42no—
371C2×C29—161no—
372C2×C29#326511yescharacteristic
373C2×C29D4×SD1611yescharacteristic
374C2×C29#328911yescharacteristic
375C22×Q8—21no—
376C22×Q8—21no—
377C22×D4—21no—
378C22×D4—21no—
379C2×SD16—21no—
380C2×SD16—21no—
381C2×SD16—21no—
382C2×SD16—21no—
383C2×SD16—21no—
384C2×SD16—21no—
385C2×SD16—21no—
386C2×SD16—21no—
387C2×SD16—21no—
388C2×SD16—44no—
389C2×SD16—44no—
390C2×SD16D4×C2911yescharacteristic
391C2×SD16D4×C2911yescharacteristic
392C22×C8—21no—
393C22×C8—21no—
394C4⋊Q8—21no—
395C4⋊Q8—21no—
396C4⋊Q8—21no—
397C4⋊Q8C23×C2911yescharacteristic
398C4⋊Q8C23×C2911yescharacteristic
399C4⋊Q8C23×C2911yescharacteristic
400#127C23×C2911yescharacteristic
401#125—21no—
402#125—41no—
403C22⋊Q8—21no—
404C22⋊Q8—21no—
405C22⋊Q8—41no—
406C22⋊Q8—41no—
407#121—21no—
408#121—21no—
409#120—41no—
410C4×Q8—21no—
411C4×Q8—21no—
412C4×Q8C23×C2911yescharacteristic
413C4×Q8C23×C2911yescharacteristic
414C4×D4—21no—
415C4×D4—21no—
416C4×D4C23×C2911yescharacteristic
417C4×D4C23×C2911yescharacteristic
418#107—21no—
419#107—21no—
420#107—21no—
421#106—21no—
422#106—21no—
423#106—41no—
424#106D4×C2911yescharacteristic
425#106D4×C2911yescharacteristic
426C4⋊C8—21no—
427C4⋊C8—21no—
428C4⋊C8C23×C2911yescharacteristic
429C4⋊C8C23×C2911yescharacteristic
430C4⋊C8C23×C2911yescharacteristic
431C4⋊C8C23×C2911yescharacteristic
432#103—21no—
433#103—21no—
434#103—21no—
435#103—21no—
436#103—21no—
437#103—21no—
438#103—21no—
439#103D4×C2911yescharacteristic
440#103D4×C2911yescharacteristic
441#102—21no—
442#102—21no—
443#102—21no—
444#102—41no—
445#102D4×C2911yescharacteristic
446#102D4×C2911yescharacteristic
447C22⋊C8—21no—
448C22⋊C8—21no—
449#97—21no—
450C4×C8—21no—
451C4×C8C23×C2911yescharacteristic
452C4×C8C23×C2911yescharacteristic
453C4×C8C23×C2911yescharacteristic
454C29#1976411yescharacteristic, direct product factor, Sylow
455C24—41no—
456C2×Q8—21no—
457C2×Q8—21no—
458C2×Q8—21no—
459C2×Q8—41no—
460C2×Q8—41no—
461C2×Q8—42no—
462C2×Q8—42no—
463C2×Q8—81no—
464C2×Q8—81no—
465C2×Q8C2×D4×C2911yescharacteristic
466C2×Q8C2×D4×C2911yescharacteristic
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—41no—
471C2×D4—41no—
472C2×D4—42no—
473C2×D4—42no—
474C2×D4—81no—
475C2×D4—81no—
476C2×D4C2×D4×C2911yescharacteristic
477C2×D4C2×D4×C2911yescharacteristic
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—41no—
481C22×C4—41no—
482SD16—22no—
483SD16—42no—
484SD16—42no—
485SD16—42no—
486SD16—42no—
487SD16—42no—
488SD16—42no—
489SD16—42no—
490SD16—81no—
491SD16—81no—
492SD16SD16×C2914yescomplemented
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—42no—
499C2×C8—42no—
500C2×C8C2×D4×C2911yescharacteristic
501C2×C8C2×D4×C2911yescharacteristic
502C2×C8C2×D4×C2911yescharacteristic
503C2×C8C2×D4×C2911yescharacteristic
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—41no—
513C4⋊C4—41no—
514C4⋊C4—41no—
515C4⋊C4—41no—
516C4⋊C4—41no—
517C4⋊C4C2×D4×C2911yescharacteristic
518C4⋊C4C2×D4×C2911yescharacteristic
519C4⋊C4C2×D4×C2911yescharacteristic
520C4⋊C4C2×D4×C2911yescharacteristic
521C22⋊C4—21no—
522C22⋊C4—21no—
523C22⋊C4—41no—
524C22⋊C4—41no—
525C22⋊C4—41no—
526C42—21no—
527C42—21no—
528C42—41no—
529C42C24×C2911yescharacteristic
530C23—21no—
531C23—21no—
532C23—41no—
533C23—82no—
534C23—82no—
535C23—161no—
536Q8—21no—
537Q8—21no—
538Q8—21no—
539Q8—41no—
540Q8—41no—
541Q8—41no—
542Q8—41no—
543Q8—41no—
544Q8—41no—
545Q8—82no—
546Q8—82no—
547Q8C2×SD16×C2912yescomplemented
548D4—21no—
549D4—21no—
550D4—41no—
551D4—41no—
552D4—41no—
553D4—41no—
554D4—81no—
555D4—82no—
556D4—82no—
557D4C2×SD16×C2912yes—
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—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—82no—
573C2×C4—82no—
574C2×C4C22×D4×C2911yescharacteristic
575C2×C4C22×D4×C2911yescharacteristic
576C2×C4C29×H(5,𝔽2)11yescharacteristic
577C8—21no—
578C8—21no—
579C8—21no—
580C8—41no—
581C8—41no—
582C8—41no—
583C8—41no—
584C8—41no—
585C8C2×SD16×C2912yescomplemented
586C22—22no—
587C22—22no—
588C22—41no—
589C22—41no—
590C22—41no—
591C22—41no—
592C22—81no—
593C22—81no—
594C22—81no—
595C22—164no—
596C22D42×C2911yescharacteristic
597C4—22no—
598C4—21no—
599C4—41no—
600C4—41no—
601C4—41no—
602C4—41no—
603C4—41no—
604C4—81no—
605C4—81no—
606C4—81no—
607C4C22×SD16×C2911yescharacteristic
608C4C2×C29×AGL(1,ℤ/8)11yescharacteristic
609C4C29×#57711yescharacteristic
610C4C29×#57711yescharacteristic
611C2—42no—
612C2—42no—
613C2—161no—
614C2C29×#326511yescharacteristic
615C2D4×SD16×C2911yescharacteristic
616C2C29×#328911yescharacteristic
subgroupG/H
center, socleC22×C29D42
commutator, Frattini, cosocleC42C24×C29
prime radicalD42×C29C22
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×#3386C2semidirect
2. C29×#3359C2semidirect
5. C29×#1714C2semidirect
6. C29×#1686C2semidirect
7. C29×#1679C2semidirect
8. C29×#1673C2semidirect
9. C29×#1666C2semidirect
10. C29×#1651C2semidirect
11. C29×#1651C2semidirect
13. C29×#1626C2semidirect
14. C29×#1582C2semidirect
15. C29×SD16⋊C8C2semidirect
18. C29×#557C22semidirect
23. C29×#500C22semidirect
24. C29×#498C22semidirect
28. C29×#487C22semidirect
33. C29×#475C22semidirect
34. C29×#475C22semidirect
48. C29×#446C22semidirect
49. C8×Q8×C29C22semidirect
56. C29×#335C22semidirect
57. C29×#334C22semidirect
58. C29×#332C22semidirect
59. C29×#332C22semidirect
60. C29×#332C22semidirect
62. C29×Q8⋊C8C22semidirect
63. C29×Q8⋊C8C22semidirect
66. C29×#322C22semidirect
183. SD16×C29SD16semidirect
221. #19764C29direct (N × H)
239. Q8×C29C2×SD16semidirect
277. C8×C29C2×SD16semidirect
278. #3386C2×C29semidirect
279. #3359C2×C29semidirect
282. #1714C2×C29semidirect
283. #1686C2×C29semidirect
284. #1679C2×C29semidirect
285. #1673C2×C29semidirect
286. #1666C2×C29semidirect
287. #1651C2×C29semidirect
288. #1651C2×C29semidirect
290. #1626C2×C29semidirect
291. #1582C2×C29semidirect
292. SD16⋊C8C2×C29semidirect
320. #557C22×C29semidirect
325. #500C22×C29semidirect
326. #498C22×C29semidirect
330. #487C22×C29semidirect
335. #475C22×C29semidirect
336. #475C22×C29semidirect
350. #446C22×C29semidirect
351. C8×Q8C22×C29semidirect
358. #335C22×C29semidirect
359. #334C22×C29semidirect
360. #332C22×C29semidirect
361. #332C22×C29semidirect
362. #332C22×C29semidirect
364. Q8⋊C8C22×C29semidirect
365. Q8⋊C8C22×C29semidirect
368. #322C22×C29semidirect
454. C29#19764direct (N × H)
492. SD16SD16×C29semidirect
547. Q8C2×SD16×C29semidirect
585. C8C2×SD16×C29semidirect

Maximal subgroups

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

subgroupindex
C29×#33862
C29×#33592
D4×SD16×C292
C29×#17142
C29×#16862
C29×#16792
C29×#16732
C29×#16662
C29×#16512
C29×#16392
C29×#16262
C29×#15822
C29×SD16⋊C82
#1976429