Finite Group Databasebeta

← C29×#20028 #20314928

Subgroups — C29×#20028 #20314928

Order 7424.

698 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3397C211yesmaximal, characteristic, complemented
2C29×#3302C211yesmaximal, characteristic, complemented
3C29×#3294C211yesmaximal, characteristic, complemented
4C29×#3274C211yesmaximal, characteristic, complemented
5C29×#1717C211yesmaximal, characteristic, complemented
6C29×#1702C211yesmaximal, characteristic, complemented
7C29×#1699C211yesmaximal, characteristic, complemented
8C29×#1667C211yesmaximal, characteristic, complemented
9C29×#1665C211yesmaximal, characteristic, complemented
10C29×#1641C211yesmaximal, characteristic, complemented
11C29×#1639C211yesmaximal, characteristic, complemented
12C29×#1628C211yesmaximal, characteristic, complemented
13C29×#1625C211yesmaximal, characteristic, complemented
14C29×#1586C211yesmaximal, characteristic, complemented
15C29×#1585C211yesmaximal, characteristic, complemented
16C2×C29×AGL(1,ℤ/8)—21no—
17C29×#556C2211yescharacteristic, complemented
18C29×#550C2211yescharacteristic
19C29×#547C2211yescharacteristic
20D42×C29C2211yescharacteristic
21C29×#496—21no—
22C29×#493C2211yescharacteristic
23C29×#492C2211yescharacteristic, complemented
24C29×#487C2211yescharacteristic, complemented
25C29×#486C2211yescharacteristic
26C29×#486C2211yescharacteristic
27C29×#486C2211yescharacteristic, complemented
28C29×#485—21no—
29C29×#480—21no—
30C29×#474C2211yescharacteristic
31C29×#474C2211yescharacteristic
32C29×#469—21no—
33C29×#467—21no—
34C29×#466—21no—
35C29×#463—21no—
36C29×#462C2211yescharacteristic, complemented
37C29×#461C2211yescharacteristic
38C29×#460—21no—
39C29×#460C2211yescharacteristic
40C29×#459C2211yescharacteristic
41C29×#459C2211yescharacteristic
42C29×#459C2211yescharacteristic, complemented
43C29×#452—21no—
44C29×#449—21no—
45C29×#447—21no—
46C29×#447—21no—
47C29×#446C2211yescharacteristic, complemented
48C29×#440—21no—
49C4×SD16×C29C2211yescharacteristic
50C4×D8×C29C2211yescharacteristic
51C29×#436C2211yescharacteristic
52C8×D4×C29C2211yescharacteristic
53C8×D4×C29C2211yescharacteristic, complemented
54C29×#416—21no—
55C2×C29×#102—21no—
56C29×#335C2211yescharacteristic, complemented
57C29×#334C2211yescharacteristic, complemented
58C29×#332C2211yescharacteristic, complemented
59C29×#332C2211yescharacteristic, complemented
60C29×#331C2211yescharacteristic
61C29×#331C2211yescharacteristic, complemented
62C29×Q8⋊C8C2211yescharacteristic, complemented
63C29×D4⋊C8C2211yescharacteristic
64C29×D4⋊C8C2211yescharacteristic
65C29×D4⋊C8C2211yescharacteristic, complemented
66C29×#322C2211yescharacteristic, complemented
67C2×#41×C29—21no—
68C2×#41×C29—21no—
69C22×D4×C29—21no—
70C22×D4×C29—21no—
71C29×AGL(1,ℤ/8)—44no—
72C2×Q16×C29—21no—
73C2×SD16×C29—21no—
74C2×SD16×C29—21no—
75C2×SD16×C29—21no—
76C2×SD16×C29—21no—
77C2×SD16×C29D411yescharacteristic
78C2×D8×C29—21no—
79C2×D8×C29—21no—
80C2×D8×C29—21no—
81C2×D8×C29—21no—
82C2×D8×C29—21no—
83C2×D8×C29D411yescharacteristic
84C2×M16×C29—21no—
85C22×C8×C29—21no—
86C22×C8×C29—21no—
87C29×C4⋊Q8C2311yescharacteristic
88C29×C4⋊Q8C2311yescharacteristic
89C29×#127—21no—
90C29×#127C2311yescharacteristic
91C29×#127C2311yescharacteristic
92C29×#126—41no—
93C29×#124—21no—
94C29×#123—41no—
95C29×C22⋊Q8—21no—
96C29×C22⋊Q8—21no—
97C29×#121—21no—
98C29×#121—21no—
99C29×#121—21no—
100C29×#121—21no—
101C29×#121—41no—
102C29×#120—41no—
103C4×Q8×C29—21no—
104C4×Q8×C29C2311yescharacteristic
105C4×D4×C29—21no—
106C4×D4×C29C2311yescharacteristic
107C4×D4×C29C2311yescharacteristic
108C4×D4×C29C2311yescharacteristic
109C29×#117—21no—
110C2×C4⋊C4×C29—21no—
111C29×#107—21no—
112C29×#107—21no—
113C29×#107D411yescharacteristic
114C29×#106D411yescharacteristic
115C29×C4⋊C8—21no—
116C29×C4⋊C8C2311yescharacteristic
117C29×C4⋊C8C2311yescharacteristic
118C29×C4⋊C8C2311yescharacteristic
119C29×C4⋊C8C2311yescharacteristic
120C29×#103—21no—
121C29×#103—21no—
122C29×#103—21no—
123C29×#103—21no—
124C29×#103D411yescharacteristic
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—41no—
134C29×#102—41no—
135C29×#102D411yescharacteristic
136C29×#102D411yescharacteristic
137C29×#102D411yescharacteristic
138C29×C22⋊C8—21no—
139C29×C22⋊C8—21no—
140C29×C22⋊C8—21no—
141C29×#97—21no—
142C4×C8×C29C2311yescharacteristic
143C4×C8×C29C2311yescharacteristic
144C4×C8×C29C2311yescharacteristic
145C24×C29—41no—
146#41×C29—42no—
147#41×C29—42no—
148#41×C29—81no—
149#41×C29—81no—
150C2×Q8×C29—21no—
151C2×Q8×C29—21no—
152C2×Q8×C29C2×D411yescharacteristic
153C2×D4×C29—21no—
154C2×D4×C29—21no—
155C2×D4×C29—21no—
156C2×D4×C29—21no—
157C2×D4×C29—21no—
158C2×D4×C29—21no—
159C2×D4×C29—41no—
160C2×D4×C29—41no—
161C2×D4×C29—41no—
162C2×D4×C29—41no—
163C2×D4×C29—42no—
164C2×D4×C29—42no—
165C2×D4×C29—41no—
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—
175C22×C4×C29—41no—
176Q16×C29—81no—
177SD16×C29—22no—
178SD16×C29—42no—
179SD16×C29—42no—
180SD16×C29—81no—
181SD16×C29—81no—
182D8×C29—41no—
183D8×C29—42no—
184D8×C29—42no—
185D8×C29—81no—
186D8×C29—81no—
187D8×C29—81no—
188M16×C29—42no—
189C2×C8×C29—21no—
190C2×C8×C29—21no—
191C2×C8×C29—21no—
192C2×C8×C29—21no—
193C2×C8×C29—21no—
194C2×C8×C29—81no—
195C2×C8×C29—81no—
196C2×C8×C29C2×D411yescharacteristic
197C2×C8×C29C2×D411yescharacteristic
198C2×C8×C29C2×D411yescharacteristic
199C2×C8×C29C2×D411yescharacteristic
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
209C4⋊C4×C29C2×D411yescharacteristic
210C4⋊C4×C29C2×D411yescharacteristic
211C22⋊C4×C29—21no—
212C22⋊C4×C29—21no—
213C22⋊C4×C29—21no—
214C22⋊C4×C29—41no—
215C22⋊C4×C29—41no—
216C22⋊C4×C29—41no—
217C22⋊C4×C29—41no—
218C22⋊C4×C29—41no—
219C42×C29—21no—
220C42×C29—41no—
221C42×C29C2411yescharacteristic
222#20028C2911yesmaximal, characteristic, direct product factor, Sylow
223C23×C29—21no—
224C23×C29—21no—
225C23×C29—21no—
226C23×C29—41no—
227C23×C29—41no—
228C23×C29—82no—
229C23×C29—82no—
230C23×C29—161no—
231Q8×C29—21no—
232Q8×C29—21no—
233Q8×C29—41no—
234Q8×C29—41no—
235Q8×C29—41no—
236Q8×C29—41no—
237D4×C29—21no—
238D4×C29—21no—
239D4×C29—21no—
240D4×C29—21no—
241D4×C29—21no—
242D4×C29—41no—
243D4×C29—41no—
244D4×C29—41no—
245D4×C29—41no—
246D4×C29—41no—
247D4×C29—41no—
248D4×C29—41no—
249D4×C29—41no—
250D4×C29—81no—
251D4×C29—81no—
252D4×C29—82no—
253D4×C29—82no—
254D4×C29—82no—
255D4×C29—82no—
256D4×C29—161no—
257D4×C29AGL(1,ℤ/8)12yes—
258C2×C4×C29—21no—
259C2×C4×C29—21no—
260C2×C4×C29—21no—
261C2×C4×C29—21no—
262C2×C4×C29—21no—
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—41no—
271C2×C4×C29—82no—
272C2×C4×C29—82no—
273C2×C4×C29C22×D411yescharacteristic
274C2×C4×C29C22×D411yescharacteristic
275C2×C4×C29H(5,𝔽2)11yescharacteristic
276C8×C29—21no—
277C8×C29—21no—
278C8×C29—21no—
279C8×C29—21no—
280C8×C29—41no—
281C8×C29—41no—
282C8×C29—41no—
283C8×C29—41no—
284C8×C29—41no—
285#3397C2×C2911yescharacteristic, complemented
286#3302C2×C2911yescharacteristic, complemented
287#3294C2×C2911yescharacteristic, complemented
288#3274C2×C2911yescharacteristic, complemented
289#1717C2×C2911yescharacteristic, complemented
290#1702C2×C2911yescharacteristic, complemented
291#1699C2×C2911yescharacteristic, complemented
292#1667C2×C2911yescharacteristic, complemented
293#1665C2×C2911yescharacteristic, complemented
294#1641C2×C2911yescharacteristic, complemented
295#1639C2×C2911yescharacteristic, complemented
296#1628C2×C2911yescharacteristic, complemented
297#1625C2×C2911yescharacteristic, complemented
298#1586C2×C2911yescharacteristic, complemented
299#1585C2×C2911yescharacteristic, complemented
300C22×C29—22no—
301C22×C29—41no—
302C22×C29—41no—
303C22×C29—41no—
304C22×C29—41no—
305C22×C29—41no—
306C22×C29—41no—
307C22×C29—41no—
308C22×C29—41no—
309C22×C29—81no—
310C22×C29—81no—
311C22×C29—81no—
312C22×C29—81no—
313C22×C29—81no—
314C22×C29—81no—
315C22×C29—164no—
316C22×C29D4211yescharacteristic
317C4×C29—21no—
318C4×C29—41no—
319C4×C29—41no—
320C4×C29—41no—
321C4×C29—41no—
322C4×C29—41no—
323C4×C29—81no—
324C4×C29—81no—
325C4×C29C2×AGL(1,ℤ/8)11yescharacteristic
326C4×C29#57511yescharacteristic
327C4×C29#57611yescharacteristic
328C4×C29#57611yescharacteristic
329C2×AGL(1,ℤ/8)—21no—
330#556C22×C2911yescharacteristic, complemented
331#550C22×C2911yescharacteristic
332#547C22×C2911yescharacteristic
333D42C22×C2911yescharacteristic
334#496—21no—
335#493C22×C2911yescharacteristic
336#492C22×C2911yescharacteristic, complemented
337#487C22×C2911yescharacteristic, complemented
338#486C22×C2911yescharacteristic
339#486C22×C2911yescharacteristic
340#486C22×C2911yescharacteristic, complemented
341#485—21no—
342#480—21no—
343#474C22×C2911yescharacteristic
344#474C22×C2911yescharacteristic
345#469—21no—
346#467—21no—
347#466—21no—
348#463—21no—
349#462C22×C2911yescharacteristic, complemented
350#461C22×C2911yescharacteristic
351#460—21no—
352#460C22×C2911yescharacteristic
353#459C22×C2911yescharacteristic
354#459C22×C2911yescharacteristic
355#459C22×C2911yescharacteristic, complemented
356#452—21no—
357#449—21no—
358#447—21no—
359#447—21no—
360#446C22×C2911yescharacteristic, complemented
361#440—21no—
362C4×SD16C22×C2911yescharacteristic
363C4×D8C22×C2911yescharacteristic
364#436C22×C2911yescharacteristic
365C8×D4C22×C2911yescharacteristic
366C8×D4C22×C2911yescharacteristic, complemented
367#416—21no—
368C2×#102—21no—
369#335C22×C2911yescharacteristic, complemented
370#334C22×C2911yescharacteristic, complemented
371#332C22×C2911yescharacteristic, complemented
372#332C22×C2911yescharacteristic, complemented
373#331C22×C2911yescharacteristic
374#331C22×C2911yescharacteristic, complemented
375Q8⋊C8C22×C2911yescharacteristic, complemented
376D4⋊C8C22×C2911yescharacteristic
377D4⋊C8C22×C2911yescharacteristic
378D4⋊C8C22×C2911yescharacteristic, complemented
379#322C22×C2911yescharacteristic, complemented
380C2×C29—42no—
381C2×C29—81no—
382C2×C29—81no—
383C2×C29—161no—
384C2×C29—161no—
385C2×C29#326411yescharacteristic
386C2×C29#326811yescharacteristic
387C2×C29#329011yescharacteristic
388C2×#41—21no—
389C2×#41—21no—
390C22×D4—21no—
391C22×D4—21no—
392AGL(1,ℤ/8)—44no—
393C2×Q16—21no—
394C2×SD16—21no—
395C2×SD16—21no—
396C2×SD16—21no—
397C2×SD16—21no—
398C2×SD16D4×C2911yescharacteristic
399C2×D8—21no—
400C2×D8—21no—
401C2×D8—21no—
402C2×D8—21no—
403C2×D8—21no—
404C2×D8D4×C2911yescharacteristic
405C2×M16—21no—
406C22×C8—21no—
407C22×C8—21no—
408C4⋊Q8C23×C2911yescharacteristic
409C4⋊Q8C23×C2911yescharacteristic
410#127—21no—
411#127C23×C2911yescharacteristic
412#127C23×C2911yescharacteristic
413#126—41no—
414#124—21no—
415#123—41no—
416C22⋊Q8—21no—
417C22⋊Q8—21no—
418#121—21no—
419#121—21no—
420#121—21no—
421#121—21no—
422#121—41no—
423#120—41no—
424C4×Q8—21no—
425C4×Q8C23×C2911yescharacteristic
426C4×D4—21no—
427C4×D4C23×C2911yescharacteristic
428C4×D4C23×C2911yescharacteristic
429C4×D4C23×C2911yescharacteristic
430#117—21no—
431C2×C4⋊C4—21no—
432#107—21no—
433#107—21no—
434#107D4×C2911yescharacteristic
435#106D4×C2911yescharacteristic
436C4⋊C8—21no—
437C4⋊C8C23×C2911yescharacteristic
438C4⋊C8C23×C2911yescharacteristic
439C4⋊C8C23×C2911yescharacteristic
440C4⋊C8C23×C2911yescharacteristic
441#103—21no—
442#103—21no—
443#103—21no—
444#103—21no—
445#103D4×C2911yescharacteristic
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#102—41no—
456#102D4×C2911yescharacteristic
457#102D4×C2911yescharacteristic
458#102D4×C2911yescharacteristic
459C22⋊C8—21no—
460C22⋊C8—21no—
461C22⋊C8—21no—
462#97—21no—
463C4×C8C23×C2911yescharacteristic
464C4×C8C23×C2911yescharacteristic
465C4×C8C23×C2911yescharacteristic
466C29#2002811yescharacteristic, direct product factor, Sylow
467C24—41no—
468#41—42no—
469#41—42no—
470#41—81no—
471#41—81no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8C2×D4×C2911yescharacteristic
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—41no—
482C2×D4—41no—
483C2×D4—41no—
484C2×D4—41no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4—41no—
488C2×D4—81no—
489C2×D4—81no—
490C2×D4C2×D4×C2911yescharacteristic
491C2×D4C2×D4×C2911yescharacteristic
492C2×D4C2×D4×C2911yescharacteristic
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—41no—
497C22×C4—41no—
498Q16—81no—
499SD16—22no—
500SD16—42no—
501SD16—42no—
502SD16—81no—
503SD16—81no—
504D8—41no—
505D8—42no—
506D8—42no—
507D8—81no—
508D8—81no—
509D8—81no—
510M16—42no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—81no—
517C2×C8—81no—
518C2×C8C2×D4×C2911yescharacteristic
519C2×C8C2×D4×C2911yescharacteristic
520C2×C8C2×D4×C2911yescharacteristic
521C2×C8C2×D4×C2911yescharacteristic
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—41no—
528C4⋊C4—41no—
529C4⋊C4C2×D4×C2911yescharacteristic
530C4⋊C4C2×D4×C2911yescharacteristic
531C4⋊C4C2×D4×C2911yescharacteristic
532C4⋊C4C2×D4×C2911yescharacteristic
533C22⋊C4—21no—
534C22⋊C4—21no—
535C22⋊C4—21no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C22⋊C4—41no—
539C22⋊C4—41no—
540C22⋊C4—41no—
541C42—21no—
542C42—41no—
543C42C24×C2911yescharacteristic
544C23—21no—
545C23—21no—
546C23—21no—
547C23—41no—
548C23—41no—
549C23—82no—
550C23—82no—
551C23—161no—
552Q8—21no—
553Q8—21no—
554Q8—41no—
555Q8—41no—
556Q8—41no—
557Q8—41no—
558D4—21no—
559D4—21no—
560D4—21no—
561D4—21no—
562D4—21no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—41no—
569D4—41no—
570D4—41no—
571D4—81no—
572D4—81no—
573D4—82no—
574D4—82no—
575D4—82no—
576D4—82no—
577D4—161no—
578D4C29×AGL(1,ℤ/8)12yes—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—82no—
593C2×C4—82no—
594C2×C4C22×D4×C2911yescharacteristic
595C2×C4C22×D4×C2911yescharacteristic
596C2×C4C29×H(5,𝔽2)11yescharacteristic
597C8—21no—
598C8—21no—
599C8—21no—
600C8—21no—
601C8—41no—
602C8—41no—
603C8—41no—
604C8—41no—
605C8—41no—
606C22—22no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22—81no—
616C22—81no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—164no—
622C22D42×C2911yescharacteristic
623C4—21no—
624C4—41no—
625C4—41no—
626C4—41no—
627C4—41no—
628C4—41no—
629C4—81no—
630C4—81no—
631C4C2×C29×AGL(1,ℤ/8)11yescharacteristic
632C4C29×#57511yescharacteristic
633C4C29×#57611yescharacteristic
634C4C29×#57611yescharacteristic
635C2—42no—
636C2—81no—
637C2—81no—
638C2—161no—
639C2—161no—
640C2C29×#326411yescharacteristic
641C2C29×#326811yescharacteristic
642C2C29×#329011yescharacteristic
subgroupG/H
center, socleC22×C29D42
commutator, Frattini, cosocleC42C24×C29
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×#3397C2semidirect
2. C29×#3302C2semidirect
3. C29×#3294C2semidirect
4. C29×#3274C2semidirect
5. C29×#1717C2semidirect
6. C29×#1702C2semidirect
7. C29×#1699C2semidirect
8. C29×#1667C2semidirect
9. C29×#1665C2semidirect
10. C29×#1641C2semidirect
11. C29×#1639C2semidirect
12. C29×#1628C2semidirect
13. C29×#1625C2semidirect
14. C29×#1586C2semidirect
15. C29×#1585C2semidirect
17. C29×#556C22semidirect
23. C29×#492C22semidirect
24. C29×#487C22semidirect
27. C29×#486C22semidirect
36. C29×#462C22semidirect
42. C29×#459C22semidirect
47. C29×#446C22semidirect
53. C8×D4×C29C22semidirect
56. C29×#335C22semidirect
57. C29×#334C22semidirect
58. C29×#332C22semidirect
59. C29×#332C22semidirect
61. C29×#331C22semidirect
62. C29×Q8⋊C8C22semidirect
65. C29×D4⋊C8C22semidirect
66. C29×#322C22semidirect
222. #20028C29direct (N × H)
285. #3397C2×C29semidirect
286. #3302C2×C29semidirect
287. #3294C2×C29semidirect
288. #3274C2×C29semidirect
289. #1717C2×C29semidirect
290. #1702C2×C29semidirect
291. #1699C2×C29semidirect
292. #1667C2×C29semidirect
293. #1665C2×C29semidirect
294. #1641C2×C29semidirect
295. #1639C2×C29semidirect
296. #1628C2×C29semidirect
297. #1625C2×C29semidirect
298. #1586C2×C29semidirect
299. #1585C2×C29semidirect
330. #556C22×C29semidirect
336. #492C22×C29semidirect
337. #487C22×C29semidirect
340. #486C22×C29semidirect
349. #462C22×C29semidirect
355. #459C22×C29semidirect
360. #446C22×C29semidirect
366. C8×D4C22×C29semidirect
369. #335C22×C29semidirect
370. #334C22×C29semidirect
371. #332C22×C29semidirect
372. #332C22×C29semidirect
374. #331C22×C29semidirect
375. Q8⋊C8C22×C29semidirect
378. D4⋊C8C22×C29semidirect
379. #322C22×C29semidirect
466. C29#20028direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#33972
C29×#33022
C29×#32942
C29×#32742
C29×#17172
C29×#17022
C29×#16992
C29×#16672
C29×#16652
C29×#16412
C29×#16392
C29×#16282
C29×#16252
C29×#15862
C29×#15852
#2002829