Finite Group Databasebeta

← C29×#18376 #20313276

Subgroups — C29×#18376 #20313276

Order 7424.

1196 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3490C211yesmaximal, characteristic, complemented
2C29×#3188C212yesmaximal, complemented
3C29×#2539C211yesmaximal, characteristic, complemented
4C29×#1618C212yesmaximal, complemented
5C29×#1614C211yesmaximal, characteristic, complemented
6C29×#1613C211yesmaximal, characteristic, complemented
7C29×#1600C212yesmaximal, complemented
8C29×#1596C211yesmaximal, characteristic, complemented
9C29×#1595C211yesmaximal, 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×#123—21no—
23C2×C29×#121C2211yescharacteristic, complemented
24C2×C29×#120—21no—
25C2×C29×#120—21no—
26C29×#518—21no—
27C22×C22⋊C4×C29C2211yescharacteristic
28C29×#484C2212yescomplemented
29C29×#482—22no—
30C29×#481C2212yescomplemented
31C29×#466—22no—
32C29×#465—22no—
33C29×#450C2212yescomplemented
34C29×#449—22no—
35C29×#447C2212yescomplemented
36C2×C29×C22⋊C8C2212yescomplemented
37C29×#399C2211yescharacteristic
38C29×#399C2211yescharacteristic, complemented
39C29×#392C2211yescharacteristic
40C29×#392C2211yescharacteristic, complemented
41C29×#390—21no—
42C29×#390—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×C29D412yescomplemented
54C22×D4×C29—21no—
55C22×D4×C29—21no—
56C22×D4×C29—21no—
57C22×D4×C29—21no—
58C22×D4×C29—21no—
59C22×D4×C29—21no—
60C22×D4×C29C2311yescharacteristic
61C23×C4×C29D411yescharacteristic
62C23×C4×C29C2311yescharacteristic
63C2×SD16×C29—22no—
64C2×D8×C29—22no—
65C22×C8×C29—22no—
66C29×#126—22no—
67C29×#126—22no—
68C29×#124—22no—
69C29×#124—22no—
70C29×#123—22no—
71C29×#123—22no—
72C29×#123—22no—
73C29×#123—22no—
74C29×#123—22no—
75C29×#123—44no—
76C29×C22⋊Q8—21no—
77C29×C22⋊Q8—22no—
78C29×C22⋊Q8—21no—
79C29×C22⋊Q8—22no—
80C29×C22⋊Q8D412yescomplemented
81C29×C22⋊Q8C2312yes—
82C29×#121—21no—
83C29×#121—22no—
84C29×#121—22no—
85C29×#121—21no—
86C29×#121—22no—
87C29×#121—22no—
88C29×#121D412yescomplemented
89C29×#121C2312yes—
90C29×#120—22no—
91C29×#120—22no—
92C29×#120—22no—
93C29×#120—22no—
94C29×#120—22no—
95C29×#120—44no—
96C4×D4×C29—22no—
97C4×D4×C29—22no—
98C4×D4×C29—22no—
99C4×D4×C29—22no—
100C4×D4×C29—22no—
101C4×D4×C29—22no—
102C29×#117—22no—
103C29×#117—21no—
104C29×#117D412yescomplemented
105C2×C4⋊C4×C29—21no—
106C2×C4⋊C4×C29—21no—
107C2×C4⋊C4×C29C2311yescharacteristic
108C2×C22⋊C4×C29—22no—
109C2×C22⋊C4×C29—21no—
110C2×C22⋊C4×C29—21no—
111C2×C22⋊C4×C29—21no—
112C2×C22⋊C4×C29—21no—
113C2×C22⋊C4×C29—22no—
114C2×C22⋊C4×C29—22no—
115C2×C22⋊C4×C29—21no—
116C2×C22⋊C4×C29—21no—
117C2×C22⋊C4×C29—21no—
118C2×C22⋊C4×C29—21no—
119C2×C22⋊C4×C29—21no—
120C2×C22⋊C4×C29D411yescharacteristic
121C2×C22⋊C4×C29D411yescharacteristic
122C2×C22⋊C4×C29C2311yescharacteristic
123C2×C22⋊C4×C29C2311yescharacteristic
124C2×C42×C29—21no—
125C29×#107—22no—
126C29×#106—22no—
127C29×#103—22no—
128C29×#102—22no—
129C29×#102—22no—
130C29×#102—22no—
131C29×C22⋊C8—22no—
132C29×C22⋊C8C2312yes—
133C29×C22⋊C8C2312yes—
134C29×#95C2311yescharacteristic
135C29×#95C2311yescharacteristic
136C24×C29—21no—
137C24×C29—21no—
138C24×C29—21no—
139C24×C29—22no—
140C24×C29—21no—
141C24×C29—41no—
142C24×C29—42no—
143C24×C29—81no—
144C24×C29C2×D411yescharacteristic
145C24×C29C2×D411yescharacteristic
146C24×C29C2×D411yescharacteristic
147#41×C29—82no—
148#41×C29—82no—
149C2×Q8×C29—21no—
150C2×Q8×C29C2×D412yes—
151C2×D4×C29—22no—
152C2×D4×C29—22no—
153C2×D4×C29—22no—
154C2×D4×C29—22no—
155C2×D4×C29—21no—
156C2×D4×C29—22no—
157C2×D4×C29—22no—
158C2×D4×C29—22no—
159C2×D4×C29—42no—
160C2×D4×C29—42no—
161C2×D4×C29—42no—
162C2×D4×C29—42no—
163C2×D4×C29—42no—
164C2×D4×C29—42no—
165C2×D4×C29—42no—
166C2×D4×C29—41no—
167C2×D4×C29—41no—
168C2×D4×C29—42no—
169C2×D4×C29—81no—
170C2×D4×C29—81no—
171C2×D4×C29—81no—
172C2×D4×C29—82no—
173C2×D4×C29—82no—
174C2×D4×C29C2×D412yes—
175C22×C4×C29—21no—
176C22×C4×C29—21no—
177C22×C4×C29—21no—
178C22×C4×C29—21no—
179C22×C4×C29—21no—
180C22×C4×C29—21no—
181C22×C4×C29—22no—
182C22×C4×C29—21no—
183C22×C4×C29—22no—
184C22×C4×C29—21no—
185C22×C4×C29—42no—
186C22×C4×C29—81no—
187C22×C4×C29C2×D411yescharacteristic
188C22×C4×C29C2×D411yescharacteristic
189C22×C4×C29C2×D411yescharacteristic
190C22×C4×C29C2×D412yes—
191C22×C4×C29C2×D412yes—
192C22×C4×C29C2411yescharacteristic
193SD16×C29—82no—
194D8×C29—82no—
195C2×C8×C29—22no—
196C2×C8×C29—22no—
197C2×C8×C29—82no—
198C4⋊C4×C29—22no—
199C4⋊C4×C29—21no—
200C4⋊C4×C29—21no—
201C4⋊C4×C29—22no—
202C4⋊C4×C29—22no—
203C4⋊C4×C29—22no—
204C4⋊C4×C29—22no—
205C4⋊C4×C29—42no—
206C4⋊C4×C29—42no—
207C4⋊C4×C29C2×D412yes—
208C4⋊C4×C29C2×D412yes—
209C22⋊C4×C29—22no—
210C22⋊C4×C29—22no—
211C22⋊C4×C29—22no—
212C22⋊C4×C29—22no—
213C22⋊C4×C29—24no—
214C22⋊C4×C29—22no—
215C22⋊C4×C29—22no—
216C22⋊C4×C29—22no—
217C22⋊C4×C29—22no—
218C22⋊C4×C29—22no—
219C22⋊C4×C29—22no—
220C22⋊C4×C29—22no—
221C22⋊C4×C29—22no—
222C22⋊C4×C29—22no—
223C22⋊C4×C29—22no—
224C22⋊C4×C29—42no—
225C22⋊C4×C29—42no—
226C22⋊C4×C29—42no—
227C22⋊C4×C29—42no—
228C22⋊C4×C29—42no—
229C42×C29—22no—
230C42×C29—22no—
231C42×C29—81no—
232#18376C2911yesmaximal, characteristic, direct product factor, Sylow
233C23×C29—21no—
234C23×C29—21no—
235C23×C29—21no—
236C23×C29—22no—
237C23×C29—21no—
238C23×C29—21no—
239C23×C29—22no—
240C23×C29—21no—
241C23×C29—21no—
242C23×C29—41no—
243C23×C29—42no—
244C23×C29—42no—
245C23×C29—41no—
246C23×C29—41no—
247C23×C29—41no—
248C23×C29—41no—
249C23×C29—42no—
250C23×C29—42no—
251C23×C29—41no—
252C23×C29—41no—
253C23×C29—41no—
254C23×C29—41no—
255C23×C29—42no—
256C23×C29—41no—
257C23×C29—41no—
258C23×C29—41no—
259C23×C29—81no—
260C23×C29—81no—
261C23×C29—81no—
262C23×C29—81no—
263C23×C29—84no—
264C23×C29—84no—
265C23×C29#12011yescharacteristic
266C23×C29#12011yescharacteristic
267C23×C29#13512yes—
268C23×C29C22×D411yescharacteristic
269Q8×C29—42no—
270Q8×C29—81no—
271D4×C29—42no—
272D4×C29—42no—
273D4×C29—42no—
274D4×C29—44no—
275D4×C29—44no—
276D4×C29—42no—
277D4×C29—42no—
278D4×C29—44no—
279D4×C29—82no—
280D4×C29—82no—
281D4×C29—81no—
282D4×C29—84no—
283D4×C29—84no—
284D4×C29—82no—
285D4×C29—82no—
286C2×C4×C29—22no—
287C2×C4×C29—22no—
288C2×C4×C29—22no—
289C2×C4×C29—21no—
290C2×C4×C29—22no—
291C2×C4×C29—22no—
292C2×C4×C29—21no—
293C2×C4×C29—41no—
294C2×C4×C29—42no—
295C2×C4×C29—42no—
296C2×C4×C29—41no—
297C2×C4×C29—41no—
298C2×C4×C29—41no—
299C2×C4×C29—42no—
300C2×C4×C29—41no—
301C2×C4×C29—41no—
302C2×C4×C29—42no—
303C2×C4×C29—41no—
304C2×C4×C29—41no—
305C2×C4×C29—41no—
306C2×C4×C29—41no—
307C2×C4×C29—41no—
308C2×C4×C29—82no—
309C2×C4×C29—81no—
310C2×C4×C29—81no—
311C2×C4×C29—81no—
312C2×C4×C29—82no—
313C2×C4×C29#12012yes—
314C2×C4×C29C22×D412yes—
315C8×C29—42no—
316C8×C29—42no—
317#3490C2×C2911yescharacteristic, complemented
318#3188C2×C2912yescomplemented
319#2539C2×C2911yescharacteristic, complemented
320#1618C2×C2912yescomplemented
321#1614C2×C2911yescharacteristic, complemented
322#1613C2×C2911yescharacteristic, complemented
323#1600C2×C2912yescomplemented
324#1596C2×C2911yescharacteristic, complemented
325#1595C2×C2911yescharacteristic, complemented
326#1501C2×C2912yescomplemented
327C2×#323C2×C2911yescharacteristic, complemented
328C22×C29—21no—
329C22×C29—21no—
330C22×C29—21no—
331C22×C29—21no—
332C22×C29—22no—
333C22×C29—21no—
334C22×C29—21no—
335C22×C29—21no—
336C22×C29—42no—
337C22×C29—42no—
338C22×C29—42no—
339C22×C29—42no—
340C22×C29—41no—
341C22×C29—41no—
342C22×C29—42no—
343C22×C29—41no—
344C22×C29—42no—
345C22×C29—41no—
346C22×C29—42no—
347C22×C29—41no—
348C22×C29—81no—
349C22×C29—84no—
350C22×C29—81no—
351C22×C29—81no—
352C22×C29—81no—
353C22×C29—81no—
354C22×C29—81no—
355C22×C29—84no—
356C22×C29—81no—
357C22×C29—81no—
358C22×C29—81no—
359C22×C29—162no—
360C22×C29#45312yes—
361C22×C29C2×#12011yescharacteristic
362C22×C29C2×#13511yescharacteristic
363C22×C29#57511yescharacteristic
364C4×C29—22no—
365C4×C29—22no—
366C4×C29—42no—
367C4×C29—42no—
368C4×C29—42no—
369C4×C29—41no—
370C4×C29—41no—
371C4×C29—42no—
372C4×C29—42no—
373C4×C29—81no—
374#551—22no—
375#551—22no—
376#546—22no—
377#546—22no—
378#543C22×C2911yescharacteristic
379#538—21no—
380#538C22×C2912yes—
381#534C22×C2911yescharacteristic
382#525—21no—
383#525C22×C2912yes—
384C2×#123—21no—
385C2×#121C22×C2911yescharacteristic, complemented
386C2×#120—21no—
387C2×#120—21no—
388#518—21no—
389C22×C22⋊C4C22×C2911yescharacteristic
390#484C22×C2912yescomplemented
391#482—22no—
392#481C22×C2912yescomplemented
393#466—22no—
394#465—22no—
395#450C22×C2912yescomplemented
396#449—22no—
397#447C22×C2912yescomplemented
398C2×C22⋊C8C22×C2912yescomplemented
399#399C22×C2911yescharacteristic
400#399C22×C2911yescharacteristic, complemented
401#392C22×C2911yescharacteristic
402#392C22×C2911yescharacteristic, complemented
403#390—21no—
404#390—21no—
405C4×C22⋊C4C22×C2911yescharacteristic, complemented
406#328C22×C2912yescomplemented
407#328C22×C2912yescomplemented
408#327C22×C2912yescomplemented
409#327C22×C2912yescomplemented
410#323C22×C2911yescharacteristic
411#323C22×C2911yescharacteristic
412#323C22×C2912yescomplemented
413C2×C29—21no—
414C2×C29—21no—
415C2×C29—22no—
416C2×C29—41no—
417C2×C29—42no—
418C2×C29—81no—
419C2×C29—82no—
420C2×C29—161no—
421C2×C29#300211yescharacteristic
422C2×C29C2×#45311yescharacteristic
423C2×C29#302611yescharacteristic
424C25D4×C2911yescharacteristic
425C2×#41—21no—
426C2×#41D4×C2912yescomplemented
427C22×D4—21no—
428C22×D4—21no—
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—21no—
432C22×D4—21no—
433C22×D4C23×C2911yescharacteristic
434C23×C4D4×C2911yescharacteristic
435C23×C4C23×C2911yescharacteristic
436C2×SD16—22no—
437C2×D8—22no—
438C22×C8—22no—
439#126—22no—
440#126—22no—
441#124—22no—
442#124—22no—
443#123—22no—
444#123—22no—
445#123—22no—
446#123—22no—
447#123—22no—
448#123—44no—
449C22⋊Q8—21no—
450C22⋊Q8—22no—
451C22⋊Q8—21no—
452C22⋊Q8—22no—
453C22⋊Q8D4×C2912yescomplemented
454C22⋊Q8C23×C2912yes—
455#121—21no—
456#121—22no—
457#121—22no—
458#121—21no—
459#121—22no—
460#121—22no—
461#121D4×C2912yescomplemented
462#121C23×C2912yes—
463#120—22no—
464#120—22no—
465#120—22no—
466#120—22no—
467#120—22no—
468#120—44no—
469C4×D4—22no—
470C4×D4—22no—
471C4×D4—22no—
472C4×D4—22no—
473C4×D4—22no—
474C4×D4—22no—
475#117—22no—
476#117—21no—
477#117D4×C2912yescomplemented
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4C23×C2911yescharacteristic
481C2×C22⋊C4—22no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4—21no—
484C2×C22⋊C4—21no—
485C2×C22⋊C4—21no—
486C2×C22⋊C4—22no—
487C2×C22⋊C4—22no—
488C2×C22⋊C4—21no—
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—21no—
492C2×C22⋊C4—21no—
493C2×C22⋊C4D4×C2911yescharacteristic
494C2×C22⋊C4D4×C2911yescharacteristic
495C2×C22⋊C4C23×C2911yescharacteristic
496C2×C22⋊C4C23×C2911yescharacteristic
497C2×C42—21no—
498#107—22no—
499#106—22no—
500#103—22no—
501#102—22no—
502#102—22no—
503#102—22no—
504C22⋊C8—22no—
505C22⋊C8C23×C2912yes—
506C22⋊C8C23×C2912yes—
507#95C23×C2911yescharacteristic
508#95C23×C2911yescharacteristic
509C29#1837611yescharacteristic, direct product factor, Sylow
510C24—21no—
511C24—21no—
512C24—21no—
513C24—22no—
514C24—21no—
515C24—41no—
516C24—42no—
517C24—81no—
518C24C2×D4×C2911yescharacteristic
519C24C2×D4×C2911yescharacteristic
520C24C2×D4×C2911yescharacteristic
521#41—82no—
522#41—82no—
523C2×Q8—21no—
524C2×Q8C2×D4×C2912yes—
525C2×D4—22no—
526C2×D4—22no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—42no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—42no—
539C2×D4—42no—
540C2×D4—41no—
541C2×D4—41no—
542C2×D4—42no—
543C2×D4—81no—
544C2×D4—81no—
545C2×D4—81no—
546C2×D4—82no—
547C2×D4—82no—
548C2×D4C2×D4×C2912yes—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—22no—
556C22×C4—21no—
557C22×C4—22no—
558C22×C4—21no—
559C22×C4—42no—
560C22×C4—81no—
561C22×C4C2×D4×C2911yescharacteristic
562C22×C4C2×D4×C2911yescharacteristic
563C22×C4C2×D4×C2911yescharacteristic
564C22×C4C2×D4×C2912yes—
565C22×C4C2×D4×C2912yes—
566C22×C4C24×C2911yescharacteristic
567SD16—82no—
568D8—82no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—82no—
572C4⋊C4—22no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4C2×D4×C2912yes—
582C4⋊C4C2×D4×C2912yes—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—24no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—22no—
594C22⋊C4—22no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—42no—
599C22⋊C4—42no—
600C22⋊C4—42no—
601C22⋊C4—42no—
602C22⋊C4—42no—
603C42—22no—
604C42—22no—
605C42—81no—
606C23—22no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—22no—
613C23—21no—
614C23—21no—
615C23—41no—
616C23—42no—
617C23—42no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—42no—
623C23—42no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—42no—
629C23—41no—
630C23—41no—
631C23—41no—
632C23—81no—
633C23—81no—
634C23—81no—
635C23—81no—
636C23—84no—
637C23—84no—
638C23C29×#12011yescharacteristic
639C23C29×#12011yescharacteristic
640C23C29×#13512yes—
641C23C22×D4×C2911yescharacteristic
642Q8—42no—
643Q8—81no—
644D4—42no—
645D4—42no—
646D4—42no—
647D4—44no—
648D4—44no—
649D4—44no—
650D4—42no—
651D4—42no—
652D4—82no—
653D4—82no—
654D4—81no—
655D4—84no—
656D4—84no—
657D4—82no—
658D4—82no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—41no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—82no—
682C2×C4—81no—
683C2×C4—81no—
684C2×C4—81no—
685C2×C4—82no—
686C2×C4C29×#12012yes—
687C2×C4C22×D4×C2912yes—
688C8—42no—
689C8—42no—
690C22—21no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—22no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—41no—
703C22—41no—
704C22—42no—
705C22—41no—
706C22—42no—
707C22—41no—
708C22—42no—
709C22—41no—
710C22—81no—
711C22—84no—
712C22—81no—
713C22—81no—
714C22—81no—
715C22—81no—
716C22—81no—
717C22—84no—
718C22—81no—
719C22—81no—
720C22—81no—
721C22—162no—
722C22C29×#45312yes—
723C22C2×C29×#12011yescharacteristic
724C22C2×C29×#13511yescharacteristic
725C22C29×#57511yescharacteristic
726C4—22no—
727C4—22no—
728C4—42no—
729C4—42no—
730C4—42no—
731C4—41no—
732C4—41no—
733C4—42no—
734C4—42no—
735C4—81no—
736C2—21no—
737C2—21no—
738C2—22no—
739C2—41no—
740C2—42no—
741C2—81no—
742C2—82no—
743C2—161no—
744C2C29×#300211yescharacteristic
745C2C2×C29×#45311yescharacteristic
746C2C29×#302611yescharacteristic
subgroupG/H
center, socleC22×C29C2×#120
commutator, Frattini, cosocleC22×C4C24×C29
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
1. C29×#3490C2semidirect
2. C29×#3188C2semidirect
3. C29×#2539C2semidirect
4. C29×#1618C2semidirect
5. C29×#1614C2semidirect
6. C29×#1613C2semidirect
7. C29×#1600C2semidirect
8. C29×#1596C2semidirect
9. C29×#1595C2semidirect
10. C29×#1501C2semidirect
11. C2×C29×#323C2semidirect
23. C2×C29×#121C22semidirect
28. C29×#484C22semidirect
30. C29×#481C22semidirect
33. C29×#450C22semidirect
35. C29×#447C22semidirect
36. C2×C29×C22⋊C8C22semidirect
38. C29×#399C22semidirect
40. C29×#392C22semidirect
43. C4×C22⋊C4×C29C22semidirect
44. C29×#328C22semidirect
45. C29×#328C22semidirect
46. C29×#327C22semidirect
47. C29×#327C22semidirect
50. C29×#323C22semidirect
53. C2×#41×C29D4semidirect
80. C29×C22⋊Q8D4semidirect
88. C29×#121D4semidirect
104. C29×#117D4semidirect
232. #18376C29direct (N × H)
317. #3490C2×C29semidirect
318. #3188C2×C29semidirect
319. #2539C2×C29semidirect
320. #1618C2×C29semidirect
321. #1614C2×C29semidirect
322. #1613C2×C29semidirect
323. #1600C2×C29semidirect
324. #1596C2×C29semidirect
325. #1595C2×C29semidirect
326. #1501C2×C29semidirect
327. C2×#323C2×C29semidirect
385. C2×#121C22×C29semidirect
390. #484C22×C29semidirect
392. #481C22×C29semidirect
395. #450C22×C29semidirect
397. #447C22×C29semidirect
398. C2×C22⋊C8C22×C29semidirect
400. #399C22×C29semidirect
402. #392C22×C29semidirect
405. C4×C22⋊C4C22×C29semidirect
406. #328C22×C29semidirect
407. #328C22×C29semidirect
408. #327C22×C29semidirect
409. #327C22×C29semidirect
412. #323C22×C29semidirect
426. C2×#41D4×C29semidirect
453. C22⋊Q8D4×C29semidirect
461. #121D4×C29semidirect
477. #117D4×C29semidirect
509. C29#18376direct (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×#31882
C29×#25392
C29×#16182
C29×#16142
C29×#16132
C29×#16002
C29×#15962
C29×#15952
C29×#15012
C2×C29×#3232
#1837629