Finite Group Databasebeta

← C29×#18347 #20313247

Subgroups — C29×#18347 #20313247

Order 7424.

1072 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3490C211yesmaximal, characteristic
2C29×#3196C212yesmaximal, complemented
3C29×#2626C211yesmaximal, characteristic, complemented
4C29×#1618C212yesmaximal, complemented
5C29×#1614C211yesmaximal, characteristic, complemented
6C29×#1613C211yesmaximal, characteristic, complemented
7C29×#1606C212yesmaximal, complemented
8C29×#1602C211yesmaximal, characteristic, complemented
9C29×#1601C211yesmaximal, characteristic, complemented
10C29×#1513C212yesmaximal, complemented
11C29×#1462C211yesmaximal, characteristic, complemented
12C29×#551—22no—
13C29×#551—22no—
14C29×#546—22no—
15C29×#546—22no—
16C29×#543C2211yescharacteristic
17C29×#538—21no—
18C29×#538C2212yes—
19C29×#534C2211yescharacteristic
20C29×#525—21no—
21C29×#525C2212yes—
22C2×C29×C22⋊Q8C2211yescharacteristic, complemented
23C2×C29×#120—21no—
24C29×#518—21no—
25C22×C22⋊C4×C29C2211yescharacteristic
26C29×#485—22no—
27C29×#484C2212yescomplemented
28C29×#481C2212yescomplemented
29C29×#470—22no—
30C29×#468—22no—
31C29×#452—22no—
32C29×#451C2212yescomplemented
33C29×#448C2212yescomplemented
34C29×#407C2212yescomplemented
35C29×#399C2211yescharacteristic
36C29×#399C2211yescharacteristic, complemented
37C29×#396—21no—
38C29×#396—21no—
39C29×#393C2211yescharacteristic
40C29×#393C2211yescharacteristic, complemented
41C29×#385—21no—
42C29×#380C2211yescharacteristic, complemented
43C29×#379—21no—
44C29×#328C2212yescomplemented
45C29×#328C2212yescomplemented
46C29×#327C2212yescomplemented
47C29×#327C2212yescomplemented
48C29×#323C2211yescharacteristic
49C29×#323C2211yescharacteristic
50C29×#323C2212yescomplemented
51C25×C29D411yescharacteristic
52C2×#41×C29—21no—
53C2×#41×C29D412yes—
54C22×Q8×C29C2311yescharacteristic
55C22×D4×C29—21no—
56C22×D4×C29—21no—
57C22×D4×C29—21no—
58C23×C4×C29D411yescharacteristic
59C23×C4×C29C2311yescharacteristic
60C2×Q16×C29—22no—
61C2×SD16×C29—22no—
62C2×M16×C29—22no—
63C29×#126—22no—
64C29×#126—22no—
65C29×#124—22no—
66C29×#124—22no—
67C29×#123—22no—
68C29×#123—22no—
69C29×#123—22no—
70C29×#123—22no—
71C29×#123—22no—
72C29×C22⋊Q8—21no—
73C29×C22⋊Q8—22no—
74C29×C22⋊Q8—21no—
75C29×C22⋊Q8—22no—
76C29×C22⋊Q8—22no—
77C29×C22⋊Q8—22no—
78C29×C22⋊Q8D412yes—
79C29×C22⋊Q8C2312yes—
80C29×#121—21no—
81C29×#121—22no—
82C29×#121—22no—
83C29×#121—21no—
84C29×#121D412yes—
85C29×#121C2312yes—
86C29×#120—22no—
87C29×#120—22no—
88C29×#120—22no—
89C29×#120—22no—
90C29×#120—22no—
91C4×D4×C29—22no—
92C4×D4×C29—22no—
93C4×D4×C29—22no—
94C4×D4×C29—22no—
95C4×D4×C29—22no—
96C4×D4×C29—22no—
97C29×#117—22no—
98C29×#117—21no—
99C29×#117D412yes—
100C2×C4⋊C4×C29—21no—
101C2×C4⋊C4×C29—21no—
102C2×C4⋊C4×C29—21no—
103C2×C4⋊C4×C29—21no—
104C2×C4⋊C4×C29C2311yescharacteristic
105C2×C22⋊C4×C29—22no—
106C2×C22⋊C4×C29—21no—
107C2×C22⋊C4×C29—21no—
108C2×C22⋊C4×C29—21no—
109C2×C22⋊C4×C29—22no—
110C2×C22⋊C4×C29—22no—
111C2×C22⋊C4×C29—21no—
112C2×C22⋊C4×C29—21no—
113C2×C22⋊C4×C29—21no—
114C2×C22⋊C4×C29—21no—
115C2×C22⋊C4×C29—21no—
116C2×C22⋊C4×C29—21no—
117C2×C22⋊C4×C29D411yescharacteristic
118C2×C22⋊C4×C29D411yescharacteristic
119C2×C22⋊C4×C29C2311yescharacteristic
120C2×C22⋊C4×C29C2311yescharacteristic
121C29×#107—22no—
122C29×#106—22no—
123C29×#103—22no—
124C29×#103—22no—
125C29×#103—22no—
126C29×#102—22no—
127C29×C22⋊C8—22no—
128C29×C22⋊C8C2312yes—
129C29×C22⋊C8C2312yes—
130C29×#95—21no—
131C29×#95—21no—
132C29×#95C2311yescharacteristic
133C29×#95C2311yescharacteristic
134C24×C29—21no—
135C24×C29—21no—
136C24×C29—21no—
137C24×C29—22no—
138C24×C29—41no—
139C24×C29—81no—
140C24×C29—81no—
141C24×C29C2×D411yescharacteristic
142C24×C29C2×D411yescharacteristic
143C24×C29C2×D411yescharacteristic
144#41×C29—82no—
145#41×C29—82no—
146C2×Q8×C29—21no—
147C2×Q8×C29—22no—
148C2×Q8×C29—81no—
149C2×Q8×C29C2×D412yes—
150C2×D4×C29—22no—
151C2×D4×C29—22no—
152C2×D4×C29—22no—
153C2×D4×C29—22no—
154C2×D4×C29—21no—
155C2×D4×C29—22no—
156C2×D4×C29—22no—
157C2×D4×C29—42no—
158C2×D4×C29—42no—
159C2×D4×C29—82no—
160C2×D4×C29—82no—
161C2×D4×C29C2×D412yes—
162C22×C4×C29—21no—
163C22×C4×C29—21no—
164C22×C4×C29—21no—
165C22×C4×C29—21no—
166C22×C4×C29—22no—
167C22×C4×C29—21no—
168C22×C4×C29—22no—
169C22×C4×C29—21no—
170C22×C4×C29—21no—
171C22×C4×C29—21no—
172C22×C4×C29—21no—
173C22×C4×C29—81no—
174C22×C4×C29—81no—
175C22×C4×C29C2×D411yescharacteristic
176C22×C4×C29C2×D411yescharacteristic
177C22×C4×C29C2×D411yescharacteristic
178C22×C4×C29C2×D412yes—
179C22×C4×C29C2×D412yes—
180C22×C4×C29C2411yescharacteristic
181Q16×C29—82no—
182SD16×C29—82no—
183M16×C29—82no—
184C2×C8×C29—22no—
185C2×C8×C29—22no—
186C4⋊C4×C29—22no—
187C4⋊C4×C29—21no—
188C4⋊C4×C29—21no—
189C4⋊C4×C29—22no—
190C4⋊C4×C29—22no—
191C4⋊C4×C29—22no—
192C4⋊C4×C29—22no—
193C4⋊C4×C29—42no—
194C4⋊C4×C29—81no—
195C4⋊C4×C29—81no—
196C4⋊C4×C29—81no—
197C4⋊C4×C29C2×D412yes—
198C4⋊C4×C29C2×D412yes—
199C22⋊C4×C29—22no—
200C22⋊C4×C29—22no—
201C22⋊C4×C29—22no—
202C22⋊C4×C29—22no—
203C22⋊C4×C29—22no—
204C22⋊C4×C29—22no—
205C22⋊C4×C29—22no—
206C22⋊C4×C29—22no—
207C22⋊C4×C29—22no—
208C22⋊C4×C29—22no—
209C22⋊C4×C29—22no—
210C22⋊C4×C29—22no—
211C22⋊C4×C29—22no—
212C22⋊C4×C29—22no—
213C22⋊C4×C29—42no—
214C22⋊C4×C29—41no—
215C22⋊C4×C29—41no—
216C22⋊C4×C29—81no—
217C22⋊C4×C29—81no—
218C22⋊C4×C29—81no—
219C22⋊C4×C29—81no—
220C42×C29—22no—
221C42×C29—22no—
222#18347C2911yesmaximal, characteristic, direct product factor, Sylow
223C23×C29—21no—
224C23×C29—21no—
225C23×C29—21no—
226C23×C29—21no—
227C23×C29—21no—
228C23×C29—22no—
229C23×C29—21no—
230C23×C29—21no—
231C23×C29—41no—
232C23×C29—41no—
233C23×C29—42no—
234C23×C29—42no—
235C23×C29—41no—
236C23×C29—41no—
237C23×C29—41no—
238C23×C29—41no—
239C23×C29—42no—
240C23×C29—42no—
241C23×C29—42no—
242C23×C29—81no—
243C23×C29—81no—
244C23×C29—84no—
245C23×C29—81no—
246C23×C29—81no—
247C23×C29—84no—
248C23×C29#12011yescharacteristic
249C23×C29#12011yescharacteristic
250C23×C29#13712yes—
251C23×C29C22×D411yescharacteristic
252Q8×C29—42no—
253Q8×C29—42no—
254Q8×C29—42no—
255Q8×C29—81no—
256D4×C29—42no—
257D4×C29—44no—
258D4×C29—44no—
259D4×C29—44no—
260D4×C29—42no—
261D4×C29—42no—
262D4×C29—82no—
263D4×C29—82no—
264D4×C29—81no—
265C2×C4×C29—22no—
266C2×C4×C29—21no—
267C2×C4×C29—22no—
268C2×C4×C29—22no—
269C2×C4×C29—21no—
270C2×C4×C29—41no—
271C2×C4×C29—42no—
272C2×C4×C29—42no—
273C2×C4×C29—41no—
274C2×C4×C29—42no—
275C2×C4×C29—42no—
276C2×C4×C29—41no—
277C2×C4×C29—41no—
278C2×C4×C29—41no—
279C2×C4×C29—41no—
280C2×C4×C29—41no—
281C2×C4×C29—41no—
282C2×C4×C29—41no—
283C2×C4×C29—41no—
284C2×C4×C29—41no—
285C2×C4×C29—41no—
286C2×C4×C29—41no—
287C2×C4×C29—41no—
288C2×C4×C29—41no—
289C2×C4×C29—41no—
290C2×C4×C29—82no—
291C2×C4×C29—81no—
292C2×C4×C29—81no—
293C2×C4×C29—81no—
294C2×C4×C29—82no—
295C2×C4×C29#12012yes—
296C2×C4×C29C22×D412yes—
297C8×C29—42no—
298C8×C29—42no—
299#3490C2×C2911yescharacteristic
300#3196C2×C2912yescomplemented
301#2626C2×C2911yescharacteristic, complemented
302#1618C2×C2912yescomplemented
303#1614C2×C2911yescharacteristic, complemented
304#1613C2×C2911yescharacteristic, complemented
305#1606C2×C2912yescomplemented
306#1602C2×C2911yescharacteristic, complemented
307#1601C2×C2911yescharacteristic, complemented
308#1513C2×C2912yescomplemented
309#1462C2×C2911yescharacteristic, complemented
310C22×C29—21no—
311C22×C29—21no—
312C22×C29—22no—
313C22×C29—21no—
314C22×C29—21no—
315C22×C29—21no—
316C22×C29—21no—
317C22×C29—21no—
318C22×C29—21no—
319C22×C29—42no—
320C22×C29—42no—
321C22×C29—42no—
322C22×C29—42no—
323C22×C29—41no—
324C22×C29—41no—
325C22×C29—42no—
326C22×C29—41no—
327C22×C29—42no—
328C22×C29—41no—
329C22×C29—42no—
330C22×C29—41no—
331C22×C29—81no—
332C22×C29—81no—
333C22×C29—84no—
334C22×C29—84no—
335C22×C29—162no—
336C22×C29C2×#12011yescharacteristic
337C22×C29C2×#13711yescharacteristic
338C22×C29#57511yescharacteristic
339C4×C29—22no—
340C4×C29—22no—
341C4×C29—42no—
342C4×C29—41no—
343C4×C29—41no—
344C4×C29—42no—
345C4×C29—42no—
346C4×C29—81no—
347C4×C29—81no—
348C4×C29—81no—
349C4×C29—81no—
350#551—22no—
351#551—22no—
352#546—22no—
353#546—22no—
354#543C22×C2911yescharacteristic
355#538—21no—
356#538C22×C2912yes—
357#534C22×C2911yescharacteristic
358#525—21no—
359#525C22×C2912yes—
360C2×C22⋊Q8C22×C2911yescharacteristic, complemented
361C2×#120—21no—
362#518—21no—
363C22×C22⋊C4C22×C2911yescharacteristic
364#485—22no—
365#484C22×C2912yescomplemented
366#481C22×C2912yescomplemented
367#470—22no—
368#468—22no—
369#452—22no—
370#451C22×C2912yescomplemented
371#448C22×C2912yescomplemented
372#407C22×C2912yescomplemented
373#399C22×C2911yescharacteristic
374#399C22×C2911yescharacteristic, complemented
375#396—21no—
376#396—21no—
377#393C22×C2911yescharacteristic
378#393C22×C2911yescharacteristic, complemented
379#385—21no—
380#380C22×C2911yescharacteristic, complemented
381#379—21no—
382#328C22×C2912yescomplemented
383#328C22×C2912yescomplemented
384#327C22×C2912yescomplemented
385#327C22×C2912yescomplemented
386#323C22×C2911yescharacteristic
387#323C22×C2911yescharacteristic
388#323C22×C2912yescomplemented
389C2×C29—21no—
390C2×C29—21no—
391C2×C29—41no—
392C2×C29—41no—
393C2×C29—42no—
394C2×C29—81no—
395C2×C29—82no—
396C2×C29#300711yescharacteristic
397C2×C29#301911yescharacteristic
398C2×C29#302611yescharacteristic
399C25D4×C2911yescharacteristic
400C2×#41—21no—
401C2×#41D4×C2912yes—
402C22×Q8C23×C2911yescharacteristic
403C22×D4—21no—
404C22×D4—21no—
405C22×D4—21no—
406C23×C4D4×C2911yescharacteristic
407C23×C4C23×C2911yescharacteristic
408C2×Q16—22no—
409C2×SD16—22no—
410C2×M16—22no—
411#126—22no—
412#126—22no—
413#124—22no—
414#124—22no—
415#123—22no—
416#123—22no—
417#123—22no—
418#123—22no—
419#123—22no—
420C22⋊Q8—21no—
421C22⋊Q8—22no—
422C22⋊Q8—21no—
423C22⋊Q8—22no—
424C22⋊Q8—22no—
425C22⋊Q8—22no—
426C22⋊Q8D4×C2912yes—
427C22⋊Q8C23×C2912yes—
428#121—21no—
429#121—22no—
430#121—22no—
431#121—21no—
432#121D4×C2912yes—
433#121C23×C2912yes—
434#120—22no—
435#120—22no—
436#120—22no—
437#120—22no—
438#120—22no—
439C4×D4—22no—
440C4×D4—22no—
441C4×D4—22no—
442C4×D4—22no—
443C4×D4—22no—
444C4×D4—22no—
445#117—22no—
446#117—21no—
447#117D4×C2912yes—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4C23×C2911yescharacteristic
453C2×C22⋊C4—22no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—22no—
458C2×C22⋊C4—22no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4D4×C2911yescharacteristic
466C2×C22⋊C4D4×C2911yescharacteristic
467C2×C22⋊C4C23×C2911yescharacteristic
468C2×C22⋊C4C23×C2911yescharacteristic
469#107—22no—
470#106—22no—
471#103—22no—
472#103—22no—
473#103—22no—
474#102—22no—
475C22⋊C8—22no—
476C22⋊C8C23×C2912yes—
477C22⋊C8C23×C2912yes—
478#95—21no—
479#95—21no—
480#95C23×C2911yescharacteristic
481#95C23×C2911yescharacteristic
482C29#1834711yescharacteristic, direct product factor, Sylow
483C24—21no—
484C24—21no—
485C24—21no—
486C24—22no—
487C24—41no—
488C24—81no—
489C24—81no—
490C24C2×D4×C2911yescharacteristic
491C24C2×D4×C2911yescharacteristic
492C24C2×D4×C2911yescharacteristic
493#41—82no—
494#41—82no—
495C2×Q8—21no—
496C2×Q8—22no—
497C2×Q8—81no—
498C2×Q8C2×D4×C2912yes—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—21no—
504C2×D4—22no—
505C2×D4—22no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—82no—
509C2×D4—82no—
510C2×D4C2×D4×C2912yes—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—81no—
523C22×C4—81no—
524C22×C4C2×D4×C2911yescharacteristic
525C22×C4C2×D4×C2911yescharacteristic
526C22×C4C2×D4×C2911yescharacteristic
527C22×C4C2×D4×C2912yes—
528C22×C4C2×D4×C2912yes—
529C22×C4C24×C2911yescharacteristic
530Q16—82no—
531SD16—82no—
532M16—82no—
533C2×C8—22no—
534C2×C8—22no—
535C4⋊C4—22no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—42no—
543C4⋊C4—81no—
544C4⋊C4—81no—
545C4⋊C4—81no—
546C4⋊C4C2×D4×C2912yes—
547C4⋊C4C2×D4×C2912yes—
548C22⋊C4—22no—
549C22⋊C4—22no—
550C22⋊C4—22no—
551C22⋊C4—22no—
552C22⋊C4—22no—
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—22no—
556C22⋊C4—22no—
557C22⋊C4—22no—
558C22⋊C4—22no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—42no—
563C22⋊C4—41no—
564C22⋊C4—41no—
565C22⋊C4—81no—
566C22⋊C4—81no—
567C22⋊C4—81no—
568C22⋊C4—81no—
569C42—22no—
570C42—22no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—22no—
577C23—21no—
578C23—21no—
579C23—41no—
580C23—41no—
581C23—42no—
582C23—42no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—81no—
591C23—81no—
592C23—84no—
593C23—81no—
594C23—81no—
595C23—84no—
596C23C29×#12011yescharacteristic
597C23C29×#12011yescharacteristic
598C23C29×#13712yes—
599C23C22×D4×C2911yescharacteristic
600Q8—42no—
601Q8—42no—
602Q8—42no—
603Q8—81no—
604D4—42no—
605D4—44no—
606D4—44no—
607D4—44no—
608D4—42no—
609D4—42no—
610D4—82no—
611D4—82no—
612D4—81no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—41no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—41no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—82no—
639C2×C4—81no—
640C2×C4—81no—
641C2×C4—81no—
642C2×C4—82no—
643C2×C4C29×#12012yes—
644C2×C4C22×D4×C2912yes—
645C8—42no—
646C8—42no—
647C22—21no—
648C22—21no—
649C22—22no—
650C22—21no—
651C22—21no—
652C22—21no—
653C22—21no—
654C22—21no—
655C22—21no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—41no—
661C22—41no—
662C22—42no—
663C22—41no—
664C22—42no—
665C22—41no—
666C22—42no—
667C22—41no—
668C22—81no—
669C22—81no—
670C22—84no—
671C22—84no—
672C22—162no—
673C22C2×C29×#12011yescharacteristic
674C22C2×C29×#13711yescharacteristic
675C22C29×#57511yescharacteristic
676C4—22no—
677C4—22no—
678C4—42no—
679C4—41no—
680C4—41no—
681C4—42no—
682C4—42no—
683C4—81no—
684C4—81no—
685C4—81no—
686C4—81no—
687C2—21no—
688C2—21no—
689C2—41no—
690C2—41no—
691C2—42no—
692C2—81no—
693C2—82no—
694C2C29×#300711yescharacteristic
695C2C29×#301911yescharacteristic
696C2C29×#302611yescharacteristic
subgroupG/H
center, socleC22×C29C2×#120
commutator, Frattini, cosocleC22×C4C24×C29
prime radicalC29×#3490C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C29 ◁ C23×C4×C29 ◁ G

Complements

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

NH ≅ G/Ntype
2. C29×#3196C2semidirect
3. C29×#2626C2semidirect
4. C29×#1618C2semidirect
5. C29×#1614C2semidirect
6. C29×#1613C2semidirect
7. C29×#1606C2semidirect
8. C29×#1602C2semidirect
9. C29×#1601C2semidirect
10. C29×#1513C2semidirect
11. C29×#1462C2semidirect
22. C2×C29×C22⋊Q8C22semidirect
27. C29×#484C22semidirect
28. C29×#481C22semidirect
32. C29×#451C22semidirect
33. C29×#448C22semidirect
34. C29×#407C22semidirect
36. C29×#399C22semidirect
40. C29×#393C22semidirect
42. C29×#380C22semidirect
44. C29×#328C22semidirect
45. C29×#328C22semidirect
46. C29×#327C22semidirect
47. C29×#327C22semidirect
50. C29×#323C22semidirect
222. #18347C29direct (N × H)
300. #3196C2×C29semidirect
301. #2626C2×C29semidirect
302. #1618C2×C29semidirect
303. #1614C2×C29semidirect
304. #1613C2×C29semidirect
305. #1606C2×C29semidirect
306. #1602C2×C29semidirect
307. #1601C2×C29semidirect
308. #1513C2×C29semidirect
309. #1462C2×C29semidirect
360. C2×C22⋊Q8C22×C29semidirect
365. #484C22×C29semidirect
366. #481C22×C29semidirect
370. #451C22×C29semidirect
371. #448C22×C29semidirect
372. #407C22×C29semidirect
374. #399C22×C29semidirect
378. #393C22×C29semidirect
380. #380C22×C29semidirect
382. #328C22×C29semidirect
383. #328C22×C29semidirect
384. #327C22×C29semidirect
385. #327C22×C29semidirect
388. #323C22×C29semidirect
482. C29#18347direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#34902
C29×#31962
C29×#26262
C29×#16182
C29×#16142
C29×#16132
C29×#16062
C29×#16022
C29×#16012
C29×#15132
C29×#14622
#1834729