Finite Group Databasebeta

← C29×#18346 #20313246

Subgroups — C29×#18346 #20313246

Order 7424.

1150 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3490C211yesmaximal, characteristic, complemented
2C29×#3194C212yesmaximal, complemented
3C29×#2617C211yesmaximal, characteristic, complemented
4C29×#1612C212yesmaximal, complemented
5C29×#1608C211yesmaximal, characteristic, complemented
6C29×#1607C211yesmaximal, characteristic, complemented
7C29×#1600C212yesmaximal, complemented
8C29×#1596C211yesmaximal, characteristic, complemented
9C29×#1595C211yesmaximal, 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×#121C2211yescharacteristic, complemented
23C2×C29×#120—21no—
24C2×C29×#120—21no—
25C29×#518—21no—
26C22×C22⋊C4×C29C2211yescharacteristic
27C29×#483C2212yescomplemented
28C29×#482—22no—
29C29×#480C2212yescomplemented
30C29×#469—22no—
31C29×#468—22no—
32C29×#450C2212yescomplemented
33C29×#449—22no—
34C29×#447C2212yescomplemented
35C29×#407C2212yescomplemented
36C29×#397C2211yescharacteristic
37C29×#397C2211yescharacteristic, complemented
38C29×#394—21no—
39C29×#394—21no—
40C29×#392C2211yescharacteristic
41C29×#392C2211yescharacteristic, complemented
42C29×#386—21no—
43C29×#380C2211yescharacteristic, 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—
65C2×M16×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×C22⋊Q8—21no—
76C29×C22⋊Q8—22no—
77C29×C22⋊Q8—21no—
78C29×C22⋊Q8—22no—
79C29×C22⋊Q8D412yescomplemented
80C29×C22⋊Q8C2312yes—
81C29×#121—21no—
82C29×#121—22no—
83C29×#121—22no—
84C29×#121—21no—
85C29×#121—22no—
86C29×#121—22no—
87C29×#121D412yescomplemented
88C29×#121C2312yes—
89C29×#120—22no—
90C29×#120—22no—
91C29×#120—22no—
92C29×#120—22no—
93C29×#120—22no—
94C29×#120—44no—
95C4×D4×C29—22no—
96C4×D4×C29—22no—
97C4×D4×C29—22no—
98C4×D4×C29—22no—
99C4×D4×C29—22no—
100C4×D4×C29—22no—
101C29×#117—22no—
102C29×#117—21no—
103C29×#117D412yescomplemented
104C2×C4⋊C4×C29—21no—
105C2×C4⋊C4×C29C2311yescharacteristic
106C2×C22⋊C4×C29—22no—
107C2×C22⋊C4×C29—21no—
108C2×C22⋊C4×C29—21no—
109C2×C22⋊C4×C29—21no—
110C2×C22⋊C4×C29—22no—
111C2×C22⋊C4×C29—22no—
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×C29—21no—
118C2×C22⋊C4×C29D411yescharacteristic
119C2×C22⋊C4×C29D411yescharacteristic
120C2×C22⋊C4×C29C2311yescharacteristic
121C2×C22⋊C4×C29C2311yescharacteristic
122C29×#107—22no—
123C29×#106—22no—
124C29×#103—22no—
125C29×#102—22no—
126C29×#102—22no—
127C29×#102—22no—
128C29×C22⋊C8—22no—
129C29×C22⋊C8C2312yes—
130C29×C22⋊C8C2312yes—
131C29×#95—21no—
132C29×#95—21no—
133C29×#95C2311yescharacteristic
134C29×#95C2311yescharacteristic
135C24×C29—21no—
136C24×C29—21no—
137C24×C29—21no—
138C24×C29—22no—
139C24×C29—21no—
140C24×C29—41no—
141C24×C29—81no—
142C24×C29—81no—
143C24×C29C2×D411yescharacteristic
144C24×C29C2×D411yescharacteristic
145C24×C29C2×D411yescharacteristic
146#41×C29—82no—
147#41×C29—82no—
148C2×Q8×C29—21no—
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—22no—
158C2×D4×C29—42no—
159C2×D4×C29—42no—
160C2×D4×C29—42no—
161C2×D4×C29—42no—
162C2×D4×C29—42no—
163C2×D4×C29—41no—
164C2×D4×C29—41no—
165C2×D4×C29—42no—
166C2×D4×C29—81no—
167C2×D4×C29—81no—
168C2×D4×C29—81no—
169C2×D4×C29—81no—
170C2×D4×C29—81no—
171C2×D4×C29—82no—
172C2×D4×C29—82no—
173C2×D4×C29C2×D412yes—
174C22×C4×C29—21no—
175C22×C4×C29—21no—
176C22×C4×C29—21no—
177C22×C4×C29—21no—
178C22×C4×C29—22no—
179C22×C4×C29—21no—
180C22×C4×C29—22no—
181C22×C4×C29—21no—
182C22×C4×C29—21no—
183C22×C4×C29—21no—
184C22×C4×C29—81no—
185C22×C4×C29—81no—
186C22×C4×C29C2×D411yescharacteristic
187C22×C4×C29C2×D411yescharacteristic
188C22×C4×C29C2×D411yescharacteristic
189C22×C4×C29C2×D412yes—
190C22×C4×C29C2×D412yes—
191C22×C4×C29C2411yescharacteristic
192SD16×C29—82no—
193D8×C29—82no—
194M16×C29—82no—
195C2×C8×C29—22no—
196C2×C8×C29—22no—
197C4⋊C4×C29—22no—
198C4⋊C4×C29—21no—
199C4⋊C4×C29—21no—
200C4⋊C4×C29—22no—
201C4⋊C4×C29—22no—
202C4⋊C4×C29—22no—
203C4⋊C4×C29—22no—
204C4⋊C4×C29—81no—
205C4⋊C4×C29C2×D412yes—
206C4⋊C4×C29C2×D412yes—
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—22no—
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—42no—
222C22⋊C4×C29—42no—
223C22⋊C4×C29—42no—
224C22⋊C4×C29—42no—
225C22⋊C4×C29—81no—
226C22⋊C4×C29—81no—
227C42×C29—22no—
228C42×C29—22no—
229#18346C2911yesmaximal, characteristic, direct product factor, Sylow
230C23×C29—21no—
231C23×C29—21no—
232C23×C29—21no—
233C23×C29—21no—
234C23×C29—21no—
235C23×C29—22no—
236C23×C29—21no—
237C23×C29—21no—
238C23×C29—41no—
239C23×C29—41no—
240C23×C29—42no—
241C23×C29—42no—
242C23×C29—41no—
243C23×C29—41no—
244C23×C29—41no—
245C23×C29—41no—
246C23×C29—42no—
247C23×C29—42no—
248C23×C29—42no—
249C23×C29—41no—
250C23×C29—41no—
251C23×C29—41no—
252C23×C29—41no—
253C23×C29—41no—
254C23×C29—41no—
255C23×C29—41no—
256C23×C29—81no—
257C23×C29—81no—
258C23×C29—84no—
259C23×C29—81no—
260C23×C29—81no—
261C23×C29—84no—
262C23×C29#12011yescharacteristic
263C23×C29#12011yescharacteristic
264C23×C29AGL(1,ℤ/8)12yes—
265C23×C29C22×D411yescharacteristic
266Q8×C29—42no—
267Q8×C29—81no—
268D4×C29—42no—
269D4×C29—42no—
270D4×C29—42no—
271D4×C29—44no—
272D4×C29—44no—
273D4×C29—44no—
274D4×C29—42no—
275D4×C29—42no—
276D4×C29—82no—
277D4×C29—82no—
278D4×C29—81no—
279D4×C29—82no—
280D4×C29—82no—
281D4×C29—84no—
282D4×C29—84no—
283C2×C4×C29—22no—
284C2×C4×C29—21no—
285C2×C4×C29—22no—
286C2×C4×C29—22no—
287C2×C4×C29—21no—
288C2×C4×C29—41no—
289C2×C4×C29—42no—
290C2×C4×C29—42no—
291C2×C4×C29—41no—
292C2×C4×C29—42no—
293C2×C4×C29—42no—
294C2×C4×C29—41no—
295C2×C4×C29—41no—
296C2×C4×C29—41no—
297C2×C4×C29—41no—
298C2×C4×C29—41no—
299C2×C4×C29—41no—
300C2×C4×C29—41no—
301C2×C4×C29—41no—
302C2×C4×C29—41no—
303C2×C4×C29—41no—
304C2×C4×C29—41no—
305C2×C4×C29—82no—
306C2×C4×C29—81no—
307C2×C4×C29—81no—
308C2×C4×C29—81no—
309C2×C4×C29—82no—
310C2×C4×C29#12012yes—
311C2×C4×C29C22×D412yes—
312C8×C29—42no—
313C8×C29—42no—
314#3490C2×C2911yescharacteristic, complemented
315#3194C2×C2912yescomplemented
316#2617C2×C2911yescharacteristic, complemented
317#1612C2×C2912yescomplemented
318#1608C2×C2911yescharacteristic, complemented
319#1607C2×C2911yescharacteristic, complemented
320#1600C2×C2912yescomplemented
321#1596C2×C2911yescharacteristic, complemented
322#1595C2×C2911yescharacteristic, complemented
323#1513C2×C2912yescomplemented
324#1462C2×C2911yescharacteristic, complemented
325C22×C29—21no—
326C22×C29—21no—
327C22×C29—22no—
328C22×C29—21no—
329C22×C29—21no—
330C22×C29—21no—
331C22×C29—21no—
332C22×C29—21no—
333C22×C29—21no—
334C22×C29—42no—
335C22×C29—42no—
336C22×C29—42no—
337C22×C29—42no—
338C22×C29—41no—
339C22×C29—41no—
340C22×C29—42no—
341C22×C29—41no—
342C22×C29—42no—
343C22×C29—41no—
344C22×C29—42no—
345C22×C29—41no—
346C22×C29—81no—
347C22×C29—81no—
348C22×C29—81no—
349C22×C29—81no—
350C22×C29—81no—
351C22×C29—81no—
352C22×C29—84no—
353C22×C29—84no—
354C22×C29—81no—
355C22×C29—81no—
356C22×C29—81no—
357C22×C29—162no—
358C22×C29C2×#12011yescharacteristic
359C22×C29C2×AGL(1,ℤ/8)11yescharacteristic
360C22×C29#57511yescharacteristic
361C4×C29—22no—
362C4×C29—22no—
363C4×C29—42no—
364C4×C29—41no—
365C4×C29—41no—
366C4×C29—42no—
367C4×C29—42no—
368C4×C29—81no—
369C4×C29—81no—
370C4×C29—81no—
371#551—22no—
372#551—22no—
373#546—22no—
374#546—22no—
375#543C22×C2911yescharacteristic
376#538—21no—
377#538C22×C2912yes—
378#534C22×C2911yescharacteristic
379#525—21no—
380#525C22×C2912yes—
381C2×#121C22×C2911yescharacteristic, complemented
382C2×#120—21no—
383C2×#120—21no—
384#518—21no—
385C22×C22⋊C4C22×C2911yescharacteristic
386#483C22×C2912yescomplemented
387#482—22no—
388#480C22×C2912yescomplemented
389#469—22no—
390#468—22no—
391#450C22×C2912yescomplemented
392#449—22no—
393#447C22×C2912yescomplemented
394#407C22×C2912yescomplemented
395#397C22×C2911yescharacteristic
396#397C22×C2911yescharacteristic, complemented
397#394—21no—
398#394—21no—
399#392C22×C2911yescharacteristic
400#392C22×C2911yescharacteristic, complemented
401#386—21no—
402#380C22×C2911yescharacteristic, complemented
403#328C22×C2912yescomplemented
404#328C22×C2912yescomplemented
405#327C22×C2912yescomplemented
406#327C22×C2912yescomplemented
407#323C22×C2911yescharacteristic
408#323C22×C2911yescharacteristic
409#323C22×C2912yescomplemented
410C2×C29—21no—
411C2×C29—21no—
412C2×C29—41no—
413C2×C29—41no—
414C2×C29—42no—
415C2×C29—81no—
416C2×C29—82no—
417C2×C29—161no—
418C2×C29#300611yescharacteristic
419C2×C29#301911yescharacteristic
420C2×C29#302611yescharacteristic
421C25D4×C2911yescharacteristic
422C2×#41—21no—
423C2×#41D4×C2912yescomplemented
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—21no—
427C22×D4—21no—
428C22×D4—21no—
429C22×D4—21no—
430C22×D4C23×C2911yescharacteristic
431C23×C4D4×C2911yescharacteristic
432C23×C4C23×C2911yescharacteristic
433C2×SD16—22no—
434C2×D8—22no—
435C2×M16—22no—
436#126—22no—
437#126—22no—
438#124—22no—
439#124—22no—
440#123—22no—
441#123—22no—
442#123—22no—
443#123—22no—
444#123—22no—
445C22⋊Q8—21no—
446C22⋊Q8—22no—
447C22⋊Q8—21no—
448C22⋊Q8—22no—
449C22⋊Q8D4×C2912yescomplemented
450C22⋊Q8C23×C2912yes—
451#121—21no—
452#121—22no—
453#121—22no—
454#121—21no—
455#121—22no—
456#121—22no—
457#121D4×C2912yescomplemented
458#121C23×C2912yes—
459#120—22no—
460#120—22no—
461#120—22no—
462#120—22no—
463#120—22no—
464#120—44no—
465C4×D4—22no—
466C4×D4—22no—
467C4×D4—22no—
468C4×D4—22no—
469C4×D4—22no—
470C4×D4—22no—
471#117—22no—
472#117—21no—
473#117D4×C2912yescomplemented
474C2×C4⋊C4—21no—
475C2×C4⋊C4C23×C2911yescharacteristic
476C2×C22⋊C4—22no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—22no—
481C2×C22⋊C4—22no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4—21no—
484C2×C22⋊C4—21no—
485C2×C22⋊C4—21no—
486C2×C22⋊C4—21no—
487C2×C22⋊C4—21no—
488C2×C22⋊C4D4×C2911yescharacteristic
489C2×C22⋊C4D4×C2911yescharacteristic
490C2×C22⋊C4C23×C2911yescharacteristic
491C2×C22⋊C4C23×C2911yescharacteristic
492#107—22no—
493#106—22no—
494#103—22no—
495#102—22no—
496#102—22no—
497#102—22no—
498C22⋊C8—22no—
499C22⋊C8C23×C2912yes—
500C22⋊C8C23×C2912yes—
501#95—21no—
502#95—21no—
503#95C23×C2911yescharacteristic
504#95C23×C2911yescharacteristic
505C29#1834611yescharacteristic, direct product factor, Sylow
506C24—21no—
507C24—21no—
508C24—21no—
509C24—22no—
510C24—21no—
511C24—41no—
512C24—81no—
513C24—81no—
514C24C2×D4×C2911yescharacteristic
515C24C2×D4×C2911yescharacteristic
516C24C2×D4×C2911yescharacteristic
517#41—82no—
518#41—82no—
519C2×Q8—21no—
520C2×Q8C2×D4×C2912yes—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—21no—
526C2×D4—22no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—42no—
530C2×D4—42no—
531C2×D4—42no—
532C2×D4—42no—
533C2×D4—42no—
534C2×D4—41no—
535C2×D4—41no—
536C2×D4—42no—
537C2×D4—81no—
538C2×D4—81no—
539C2×D4—81no—
540C2×D4—81no—
541C2×D4—81no—
542C2×D4—82no—
543C2×D4—82no—
544C2×D4C2×D4×C2912yes—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—22no—
550C22×C4—21no—
551C22×C4—22no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—81no—
556C22×C4—81no—
557C22×C4C2×D4×C2911yescharacteristic
558C22×C4C2×D4×C2911yescharacteristic
559C22×C4C2×D4×C2911yescharacteristic
560C22×C4C2×D4×C2912yes—
561C22×C4C2×D4×C2912yes—
562C22×C4C24×C2911yescharacteristic
563SD16—82no—
564D8—82no—
565M16—82no—
566C2×C8—22no—
567C2×C8—22no—
568C4⋊C4—22no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—81no—
576C4⋊C4C2×D4×C2912yes—
577C4⋊C4C2×D4×C2912yes—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—42no—
593C22⋊C4—42no—
594C22⋊C4—42no—
595C22⋊C4—42no—
596C22⋊C4—81no—
597C22⋊C4—81no—
598C42—22no—
599C42—22no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—22no—
606C23—21no—
607C23—21no—
608C23—41no—
609C23—41no—
610C23—42no—
611C23—42no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—81no—
627C23—81no—
628C23—84no—
629C23—81no—
630C23—81no—
631C23—84no—
632C23C29×#12011yescharacteristic
633C23C29×#12011yescharacteristic
634C23C29×AGL(1,ℤ/8)12yes—
635C23C22×D4×C2911yescharacteristic
636Q8—42no—
637Q8—81no—
638D4—42no—
639D4—42no—
640D4—42no—
641D4—44no—
642D4—44no—
643D4—44no—
644D4—42no—
645D4—42no—
646D4—82no—
647D4—82no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—84no—
652D4—84no—
653C2×C4—22no—
654C2×C4—21no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—82no—
676C2×C4—81no—
677C2×C4—81no—
678C2×C4—81no—
679C2×C4—82no—
680C2×C4C29×#12012yes—
681C2×C4C22×D4×C2912yes—
682C8—42no—
683C8—42no—
684C22—21no—
685C22—21no—
686C22—22no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—21no—
692C22—21no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—41no—
698C22—41no—
699C22—42no—
700C22—41no—
701C22—42no—
702C22—41no—
703C22—42no—
704C22—41no—
705C22—81no—
706C22—81no—
707C22—81no—
708C22—81no—
709C22—81no—
710C22—81no—
711C22—84no—
712C22—84no—
713C22—81no—
714C22—81no—
715C22—81no—
716C22—162no—
717C22C2×C29×#12011yescharacteristic
718C22C2×C29×AGL(1,ℤ/8)11yescharacteristic
719C22C29×#57511yescharacteristic
720C4—22no—
721C4—22no—
722C4—42no—
723C4—41no—
724C4—41no—
725C4—42no—
726C4—42no—
727C4—81no—
728C4—81no—
729C4—81no—
730C2—21no—
731C2—21no—
732C2—41no—
733C2—41no—
734C2—42no—
735C2—81no—
736C2—82no—
737C2—161no—
738C2C29×#300611yescharacteristic
739C2C29×#301911yescharacteristic
740C2C29×#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×#3194C2semidirect
3. C29×#2617C2semidirect
4. C29×#1612C2semidirect
5. C29×#1608C2semidirect
6. C29×#1607C2semidirect
7. C29×#1600C2semidirect
8. C29×#1596C2semidirect
9. C29×#1595C2semidirect
10. C29×#1513C2semidirect
11. C29×#1462C2semidirect
22. C2×C29×#121C22semidirect
27. C29×#483C22semidirect
29. C29×#480C22semidirect
32. C29×#450C22semidirect
34. C29×#447C22semidirect
35. C29×#407C22semidirect
37. C29×#397C22semidirect
41. C29×#392C22semidirect
43. C29×#380C22semidirect
44. C29×#328C22semidirect
45. C29×#328C22semidirect
46. C29×#327C22semidirect
47. C29×#327C22semidirect
50. C29×#323C22semidirect
53. C2×#41×C29D4semidirect
79. C29×C22⋊Q8D4semidirect
87. C29×#121D4semidirect
103. C29×#117D4semidirect
229. #18346C29direct (N × H)
314. #3490C2×C29semidirect
315. #3194C2×C29semidirect
316. #2617C2×C29semidirect
317. #1612C2×C29semidirect
318. #1608C2×C29semidirect
319. #1607C2×C29semidirect
320. #1600C2×C29semidirect
321. #1596C2×C29semidirect
322. #1595C2×C29semidirect
323. #1513C2×C29semidirect
324. #1462C2×C29semidirect
381. C2×#121C22×C29semidirect
386. #483C22×C29semidirect
388. #480C22×C29semidirect
391. #450C22×C29semidirect
393. #447C22×C29semidirect
394. #407C22×C29semidirect
396. #397C22×C29semidirect
400. #392C22×C29semidirect
402. #380C22×C29semidirect
403. #328C22×C29semidirect
404. #328C22×C29semidirect
405. #327C22×C29semidirect
406. #327C22×C29semidirect
409. #323C22×C29semidirect
423. C2×#41D4×C29semidirect
449. C22⋊Q8D4×C29semidirect
457. #121D4×C29semidirect
473. #117D4×C29semidirect
505. C29#18346direct (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×#31942
C29×#26172
C29×#16122
C29×#16082
C29×#16072
C29×#16002
C29×#15962
C29×#15952
C29×#15132
C29×#14622
#1834629