Finite Group Databasebeta

← C29×#18377 #20313277

Subgroups — C29×#18377 #20313277

Order 7424.

1082 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3490C211yesmaximal, characteristic
2C29×#3190C212yesmaximal, complemented
3C29×#2561C211yesmaximal, characteristic, complemented
4C29×#1612C212yesmaximal, complemented
5C29×#1608C211yesmaximal, characteristic, complemented
6C29×#1607C211yesmaximal, characteristic, complemented
7C29×#1606C212yesmaximal, complemented
8C29×#1602C211yesmaximal, characteristic, complemented
9C29×#1601C211yesmaximal, characteristic, complemented
10C29×#1501C212yesmaximal, complemented
11C2×C29×#323C211yesmaximal, 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×#483C2212yescomplemented
28C29×#480C2212yescomplemented
29C29×#467—22no—
30C29×#465—22no—
31C29×#452—22no—
32C29×#451C2212yescomplemented
33C29×#448C2212yescomplemented
34C2×C29×C22⋊C8C2212yescomplemented
35C29×#397C2211yescharacteristic
36C29×#397C2211yescharacteristic, complemented
37C29×#393C2211yescharacteristic
38C29×#393C2211yescharacteristic, complemented
39C29×#388—21no—
40C29×#388—21no—
41C29×#381—21no—
42C29×#379—21no—
43C4×C22⋊C4×C29C2211yescharacteristic, complemented
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—
62C22×C8×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×C29C2311yescharacteristic
102C2×C22⋊C4×C29—22no—
103C2×C22⋊C4×C29—21no—
104C2×C22⋊C4×C29—21no—
105C2×C22⋊C4×C29—21no—
106C2×C22⋊C4×C29—22no—
107C2×C22⋊C4×C29—22no—
108C2×C22⋊C4×C29—21no—
109C2×C22⋊C4×C29—21no—
110C2×C22⋊C4×C29—21no—
111C2×C22⋊C4×C29—21no—
112C2×C22⋊C4×C29—21no—
113C2×C22⋊C4×C29—21no—
114C2×C22⋊C4×C29D411yescharacteristic
115C2×C22⋊C4×C29D411yescharacteristic
116C2×C22⋊C4×C29C2311yescharacteristic
117C2×C22⋊C4×C29C2311yescharacteristic
118C2×C42×C29—21no—
119C29×#107—22no—
120C29×#106—22no—
121C29×#103—22no—
122C29×#103—22no—
123C29×#103—22no—
124C29×#102—22no—
125C29×C22⋊C8—22no—
126C29×C22⋊C8C2312yes—
127C29×C22⋊C8C2312yes—
128C29×#95—21no—
129C29×#95—21no—
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—42no—
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—42no—
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—
183C2×C8×C29—22no—
184C2×C8×C29—22no—
185C2×C8×C29—82no—
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×C29C2×D412yes—
195C4⋊C4×C29C2×D412yes—
196C22⋊C4×C29—22no—
197C22⋊C4×C29—22no—
198C22⋊C4×C29—22no—
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—42no—
211C22⋊C4×C29—42no—
212C22⋊C4×C29—41no—
213C22⋊C4×C29—41no—
214C22⋊C4×C29—42no—
215C22⋊C4×C29—81no—
216C22⋊C4×C29—81no—
217C42×C29—22no—
218C42×C29—22no—
219C42×C29—81no—
220#18377C2911yesmaximal, characteristic, direct product factor, Sylow
221C23×C29—21no—
222C23×C29—21no—
223C23×C29—21no—
224C23×C29—22no—
225C23×C29—21no—
226C23×C29—21no—
227C23×C29—22no—
228C23×C29—21no—
229C23×C29—21no—
230C23×C29—41no—
231C23×C29—42no—
232C23×C29—42no—
233C23×C29—41no—
234C23×C29—41no—
235C23×C29—41no—
236C23×C29—41no—
237C23×C29—42no—
238C23×C29—42no—
239C23×C29—42no—
240C23×C29—81no—
241C23×C29—81no—
242C23×C29—81no—
243C23×C29—81no—
244C23×C29—84no—
245C23×C29—84no—
246C23×C29#12011yescharacteristic
247C23×C29#12011yescharacteristic
248C23×C29#13512yes—
249C23×C29C22×D411yescharacteristic
250Q8×C29—42no—
251Q8×C29—42no—
252Q8×C29—42no—
253Q8×C29—81no—
254D4×C29—42no—
255D4×C29—44no—
256D4×C29—44no—
257D4×C29—42no—
258D4×C29—42no—
259D4×C29—44no—
260D4×C29—82no—
261D4×C29—82no—
262D4×C29—81no—
263C2×C4×C29—22no—
264C2×C4×C29—21no—
265C2×C4×C29—22no—
266C2×C4×C29—22no—
267C2×C4×C29—21no—
268C2×C4×C29—41no—
269C2×C4×C29—42no—
270C2×C4×C29—42no—
271C2×C4×C29—41no—
272C2×C4×C29—42no—
273C2×C4×C29—42no—
274C2×C4×C29—41no—
275C2×C4×C29—41no—
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—82no—
289C2×C4×C29—81no—
290C2×C4×C29—81no—
291C2×C4×C29—81no—
292C2×C4×C29—82no—
293C2×C4×C29#12012yes—
294C2×C4×C29C22×D412yes—
295C8×C29—42no—
296C8×C29—42no—
297#3490C2×C2911yescharacteristic
298#3190C2×C2912yescomplemented
299#2561C2×C2911yescharacteristic, complemented
300#1612C2×C2912yescomplemented
301#1608C2×C2911yescharacteristic, complemented
302#1607C2×C2911yescharacteristic, complemented
303#1606C2×C2912yescomplemented
304#1602C2×C2911yescharacteristic, complemented
305#1601C2×C2911yescharacteristic, complemented
306#1501C2×C2912yescomplemented
307C2×#323C2×C2911yescharacteristic, complemented
308C22×C29—21no—
309C22×C29—21no—
310C22×C29—21no—
311C22×C29—21no—
312C22×C29—22no—
313C22×C29—21no—
314C22×C29—21no—
315C22×C29—21no—
316C22×C29—42no—
317C22×C29—42no—
318C22×C29—42no—
319C22×C29—42no—
320C22×C29—41no—
321C22×C29—41no—
322C22×C29—42no—
323C22×C29—41no—
324C22×C29—42no—
325C22×C29—41no—
326C22×C29—42no—
327C22×C29—41no—
328C22×C29—81no—
329C22×C29—84no—
330C22×C29—81no—
331C22×C29—84no—
332C22×C29—162no—
333C22×C29#45512yes—
334C22×C29C2×#12011yescharacteristic
335C22×C29C2×#13511yescharacteristic
336C22×C29#57511yescharacteristic
337C4×C29—22no—
338C4×C29—22no—
339C4×C29—42no—
340C4×C29—41no—
341C4×C29—41no—
342C4×C29—42no—
343C4×C29—42no—
344C4×C29—81no—
345C4×C29—81no—
346C4×C29—81no—
347C4×C29—81no—
348#551—22no—
349#551—22no—
350#546—22no—
351#546—22no—
352#543C22×C2911yescharacteristic
353#538—21no—
354#538C22×C2912yes—
355#534C22×C2911yescharacteristic
356#525—21no—
357#525C22×C2912yes—
358C2×C22⋊Q8C22×C2911yescharacteristic, complemented
359C2×#120—21no—
360#518—21no—
361C22×C22⋊C4C22×C2911yescharacteristic
362#485—22no—
363#483C22×C2912yescomplemented
364#480C22×C2912yescomplemented
365#467—22no—
366#465—22no—
367#452—22no—
368#451C22×C2912yescomplemented
369#448C22×C2912yescomplemented
370C2×C22⋊C8C22×C2912yescomplemented
371#397C22×C2911yescharacteristic
372#397C22×C2911yescharacteristic, complemented
373#393C22×C2911yescharacteristic
374#393C22×C2911yescharacteristic, complemented
375#388—21no—
376#388—21no—
377#381—21no—
378#379—21no—
379C4×C22⋊C4C22×C2911yescharacteristic, complemented
380#328C22×C2912yescomplemented
381#328C22×C2912yescomplemented
382#327C22×C2912yescomplemented
383#327C22×C2912yescomplemented
384#323C22×C2911yescharacteristic
385#323C22×C2911yescharacteristic
386#323C22×C2912yescomplemented
387C2×C29—21no—
388C2×C29—21no—
389C2×C29—22no—
390C2×C29—41no—
391C2×C29—42no—
392C2×C29—81no—
393C2×C29—82no—
394C2×C29#300211yescharacteristic
395C2×C29C2×#45511yescharacteristic
396C2×C29#302611yescharacteristic
397C25D4×C2911yescharacteristic
398C2×#41—21no—
399C2×#41D4×C2912yes—
400C22×Q8C23×C2911yescharacteristic
401C22×D4—21no—
402C22×D4—21no—
403C22×D4—21no—
404C23×C4D4×C2911yescharacteristic
405C23×C4C23×C2911yescharacteristic
406C2×Q16—22no—
407C2×SD16—22no—
408C22×C8—22no—
409#126—22no—
410#126—22no—
411#124—22no—
412#124—22no—
413#123—22no—
414#123—22no—
415#123—22no—
416#123—22no—
417#123—22no—
418C22⋊Q8—21no—
419C22⋊Q8—22no—
420C22⋊Q8—21no—
421C22⋊Q8—22no—
422C22⋊Q8—22no—
423C22⋊Q8—22no—
424C22⋊Q8D4×C2912yes—
425C22⋊Q8C23×C2912yes—
426#121—21no—
427#121—22no—
428#121—22no—
429#121—21no—
430#121D4×C2912yes—
431#121C23×C2912yes—
432#120—22no—
433#120—22no—
434#120—22no—
435#120—22no—
436#120—22no—
437C4×D4—22no—
438C4×D4—22no—
439C4×D4—22no—
440C4×D4—22no—
441C4×D4—22no—
442C4×D4—22no—
443#117—22no—
444#117—21no—
445#117D4×C2912yes—
446C2×C4⋊C4—21no—
447C2×C4⋊C4C23×C2911yescharacteristic
448C2×C22⋊C4—22no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—22no—
453C2×C22⋊C4—22no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4D4×C2911yescharacteristic
461C2×C22⋊C4D4×C2911yescharacteristic
462C2×C22⋊C4C23×C2911yescharacteristic
463C2×C22⋊C4C23×C2911yescharacteristic
464C2×C42—21no—
465#107—22no—
466#106—22no—
467#103—22no—
468#103—22no—
469#103—22no—
470#102—22no—
471C22⋊C8—22no—
472C22⋊C8C23×C2912yes—
473C22⋊C8C23×C2912yes—
474#95—21no—
475#95—21no—
476#95—21no—
477#95—21no—
478#95C23×C2911yescharacteristic
479#95C23×C2911yescharacteristic
480C29#1837711yescharacteristic, direct product factor, Sylow
481C24—21no—
482C24—21no—
483C24—21no—
484C24—22no—
485C24—41no—
486C24—42no—
487C24—81no—
488C24C2×D4×C2911yescharacteristic
489C24C2×D4×C2911yescharacteristic
490C24C2×D4×C2911yescharacteristic
491#41—82no—
492#41—82no—
493C2×Q8—21no—
494C2×Q8—22no—
495C2×Q8—81no—
496C2×Q8C2×D4×C2912yes—
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—21no—
502C2×D4—22no—
503C2×D4—22no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—82no—
507C2×D4—82no—
508C2×D4C2×D4×C2912yes—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—42no—
521C22×C4—81no—
522C22×C4C2×D4×C2911yescharacteristic
523C22×C4C2×D4×C2911yescharacteristic
524C22×C4C2×D4×C2911yescharacteristic
525C22×C4C2×D4×C2912yes—
526C22×C4C2×D4×C2912yes—
527C22×C4C24×C2911yescharacteristic
528Q16—82no—
529SD16—82no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—82no—
533C4⋊C4—22no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—42no—
541C4⋊C4C2×D4×C2912yes—
542C4⋊C4C2×D4×C2912yes—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—22no—
546C22⋊C4—22no—
547C22⋊C4—22no—
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—42no—
558C22⋊C4—42no—
559C22⋊C4—41no—
560C22⋊C4—41no—
561C22⋊C4—42no—
562C22⋊C4—81no—
563C22⋊C4—81no—
564C42—22no—
565C42—22no—
566C42—81no—
567C23—22no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—22no—
574C23—21no—
575C23—21no—
576C23—41no—
577C23—42no—
578C23—42no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—81no—
587C23—81no—
588C23—81no—
589C23—81no—
590C23—84no—
591C23—84no—
592C23C29×#12011yescharacteristic
593C23C29×#12011yescharacteristic
594C23C29×#13512yes—
595C23C22×D4×C2911yescharacteristic
596Q8—42no—
597Q8—42no—
598Q8—42no—
599Q8—81no—
600D4—42no—
601D4—44no—
602D4—44no—
603D4—44no—
604D4—42no—
605D4—42no—
606D4—82no—
607D4—82no—
608D4—81no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—21no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
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—82no—
635C2×C4—81no—
636C2×C4—81no—
637C2×C4—81no—
638C2×C4—82no—
639C2×C4C29×#12012yes—
640C2×C4C22×D4×C2912yes—
641C8—42no—
642C8—42no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—21no—
647C22—22no—
648C22—21no—
649C22—21no—
650C22—21no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—41no—
656C22—41no—
657C22—42no—
658C22—41no—
659C22—42no—
660C22—41no—
661C22—42no—
662C22—41no—
663C22—81no—
664C22—84no—
665C22—81no—
666C22—84no—
667C22—162no—
668C22C29×#45512yes—
669C22C2×C29×#12011yescharacteristic
670C22C2×C29×#13511yescharacteristic
671C22C29×#57511yescharacteristic
672C4—22no—
673C4—22no—
674C4—42no—
675C4—41no—
676C4—41no—
677C4—42no—
678C4—42no—
679C4—81no—
680C4—81no—
681C4—81no—
682C4—81no—
683C2—21no—
684C2—21no—
685C2—22no—
686C2—41no—
687C2—42no—
688C2—81no—
689C2—82no—
690C2C29×#300211yescharacteristic
691C2C2×C29×#45511yescharacteristic
692C2C29×#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×#3190C2semidirect
3. C29×#2561C2semidirect
4. C29×#1612C2semidirect
5. C29×#1608C2semidirect
6. C29×#1607C2semidirect
7. C29×#1606C2semidirect
8. C29×#1602C2semidirect
9. C29×#1601C2semidirect
10. C29×#1501C2semidirect
11. C2×C29×#323C2semidirect
22. C2×C29×C22⋊Q8C22semidirect
27. C29×#483C22semidirect
28. C29×#480C22semidirect
32. C29×#451C22semidirect
33. C29×#448C22semidirect
34. C2×C29×C22⋊C8C22semidirect
36. C29×#397C22semidirect
38. C29×#393C22semidirect
43. C4×C22⋊C4×C29C22semidirect
44. C29×#328C22semidirect
45. C29×#328C22semidirect
46. C29×#327C22semidirect
47. C29×#327C22semidirect
50. C29×#323C22semidirect
220. #18377C29direct (N × H)
298. #3190C2×C29semidirect
299. #2561C2×C29semidirect
300. #1612C2×C29semidirect
301. #1608C2×C29semidirect
302. #1607C2×C29semidirect
303. #1606C2×C29semidirect
304. #1602C2×C29semidirect
305. #1601C2×C29semidirect
306. #1501C2×C29semidirect
307. C2×#323C2×C29semidirect
358. C2×C22⋊Q8C22×C29semidirect
363. #483C22×C29semidirect
364. #480C22×C29semidirect
368. #451C22×C29semidirect
369. #448C22×C29semidirect
370. C2×C22⋊C8C22×C29semidirect
372. #397C22×C29semidirect
374. #393C22×C29semidirect
379. C4×C22⋊C4C22×C29semidirect
380. #328C22×C29semidirect
381. #328C22×C29semidirect
382. #327C22×C29semidirect
383. #327C22×C29semidirect
386. #323C22×C29semidirect
480. C29#18377direct (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×#31902
C29×#25612
C29×#16122
C29×#16082
C29×#16072
C29×#16062
C29×#16022
C29×#16012
C29×#15012
C2×C29×#3232
#1837729