Finite Group Databasebeta

← C29×#18472 #20313372

Subgroups — C29×#18472 #20313372

Order 7424.

846 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3564C211yesmaximal, characteristic
2C29×#3238C211yesmaximal, characteristic, complemented
3C29×#3229C211yesmaximal, characteristic, complemented
4C29×#2821C211yesmaximal, characteristic, complemented
5C29×#1612C212yesmaximal
6C29×#1611C212yesmaximal, complemented
7C29×#1609C212yesmaximal, complemented
8C29×#1608C212yesmaximal, complemented
9C29×#1521C211yesmaximal, characteristic, complemented
10C29×#1515C211yesmaximal, characteristic, complemented
11C29×#1473C211yesmaximal, characteristic, complemented
12C29×#563—21no—
13C29×#563—21no—
14C29×#556—21no—
15C29×#554—21no—
16C29×#552—21no—
17C29×#552—21no—
18C29×#551—21no—
19C29×#551—21no—
20C29×#544C2211yescharacteristic
21C29×#543C2211yescharacteristic
22C29×#542—21no—
23C29×#541—21no—
24C29×#541—21no—
25C29×#539—21no—
26C29×#539C2211yescharacteristic
27C29×#538C2211yescharacteristic
28C29×#533C2211yescharacteristic
29C2×C29×C4⋊Q8C2211yescharacteristic
30C29×#529C2211yescharacteristic
31C2×C29×#126C2211yescharacteristic
32C29×#501—21no—
33C29×#498—21no—
34C29×#489—21no—
35C29×#487—21no—
36C29×#483C2212yes—
37C29×#483C2212yes—
38C29×#483C2212yes—
39C29×#480C2212yes—
40C29×#477—21no—
41C29×#476—21no—
42C29×#475—21no—
43C29×#475—21no—
44C29×#432C2211yescharacteristic
45C29×#431C2211yescharacteristic
46C29×#400—21no—
47C29×#399—21no—
48C29×#398C2212yes—
49C29×#397C2212yes—
50C29×#395—21no—
51C29×#393—21no—
52C29×#383C2211yescharacteristic
53C29×#328C2212yes—
54C29×#328C2212yes—
55C29×#328C2212yes—
56C29×#327C2212yes—
57C29×#324C2212yes—
58C29×#323C2212yes—
59C22×Q8×C29—21no—
60C29×C4⋊Q8—21no—
61C29×C4⋊Q8—21no—
62C29×C4⋊Q8—21no—
63C29×C4⋊Q8—21no—
64C29×C4⋊Q8—21no—
65C29×C4⋊Q8—21no—
66C29×C4⋊Q8—21no—
67C29×C4⋊Q8D411yescharacteristic
68C29×C4⋊Q8D411yescharacteristic
69C29×#126—21no—
70C29×#126—21no—
71C29×#126—21no—
72C29×#126—21no—
73C29×#126—21no—
74C29×#126—21no—
75C29×#126—21no—
76C29×#126—21no—
77C29×#126—21no—
78C29×#126—21no—
79C29×#126—21no—
80C29×#126—21no—
81C29×#126—21no—
82C29×#125—21no—
83C29×#125—21no—
84C29×#125—21no—
85C29×#125—21no—
86C29×#125—21no—
87C29×#125—21no—
88C29×#125—21no—
89C29×#125—21no—
90C29×#125—21no—
91C29×#125D411yescharacteristic
92C29×#124—21no—
93C29×#124—21no—
94C29×#124—21no—
95C29×#124D411yescharacteristic
96C29×#123—21no—
97C29×#123—21no—
98C29×#123—21no—
99C29×#123—21no—
100C29×#123—21no—
101C29×#123—21no—
102C29×#123—21no—
103C29×#123—21no—
104C29×C22⋊Q8—21no—
105C29×C22⋊Q8—21no—
106C29×C22⋊Q8—21no—
107C29×C22⋊Q8—21no—
108C29×C22⋊Q8—21no—
109C29×C22⋊Q8—21no—
110C29×C22⋊Q8—21no—
111C29×C22⋊Q8—21no—
112C29×C22⋊Q8—21no—
113C29×C22⋊Q8—21no—
114C29×C22⋊Q8—21no—
115C29×C22⋊Q8—21no—
116C29×C22⋊Q8—21no—
117C29×C22⋊Q8—21no—
118C29×C22⋊Q8C2311yescharacteristic
119C29×C22⋊Q8C2311yescharacteristic
120C29×C22⋊Q8C2311yescharacteristic
121C29×#121—21no—
122C29×#121C2311yescharacteristic
123C29×#120—21no—
124C4×Q8×C29—21no—
125C4×Q8×C29—21no—
126C4×Q8×C29—21no—
127C4×Q8×C29D411yescharacteristic
128C4×Q8×C29D411yescharacteristic
129C4×Q8×C29D411yescharacteristic
130C4×D4×C29—21no—
131C4×D4×C29—21no—
132C4×D4×C29—21no—
133C4×D4×C29—21no—
134C4×D4×C29—21no—
135C4×D4×C29D411yescharacteristic
136C29×#117—21no—
137C29×#117—21no—
138C29×#117—21no—
139C29×#117—21no—
140C29×#117—21no—
141C29×#117—21no—
142C2×C4⋊C4×C29—21no—
143C2×C4⋊C4×C29—21no—
144C2×C4⋊C4×C29—22no—
145C2×C4⋊C4×C29D411yescharacteristic
146C2×C4⋊C4×C29D411yescharacteristic
147C2×C4⋊C4×C29C2312yes—
148C2×C4⋊C4×C29C2311yescharacteristic
149C2×C22⋊C4×C29—21no—
150C2×C22⋊C4×C29—22no—
151C2×C22⋊C4×C29D411yescharacteristic
152C2×C22⋊C4×C29D411yescharacteristic
153C2×C22⋊C4×C29C2311yescharacteristic
154C2×C42×C29C2311yescharacteristic
155C29×#107—22no—
156C29×#106—22no—
157C29×#106—22no—
158C29×#106—22no—
159C29×C4⋊C8—21no—
160C29×C4⋊C8—21no—
161C29×#103—22no—
162C29×#103—22no—
163C29×#103—22no—
164C29×#102—22no—
165C29×C22⋊C8C2312yes—
166C29×C22⋊C8C2312yes—
167C29×#97—21no—
168C4×C8×C29—21no—
169C29×#95—21no—
170C29×#95—21no—
171C29×#95—22no—
172C29×#95—22no—
173C29×#95C2312yes—
174C24×C29C2×D411yescharacteristic
175C2×Q8×C29—21no—
176C2×Q8×C29—21no—
177C2×Q8×C29—21no—
178C2×Q8×C29—41no—
179C2×Q8×C29—41no—
180C2×Q8×C29—82no—
181C2×Q8×C29C2×D411yescharacteristic
182C2×Q8×C29C2×D411yescharacteristic
183C2×Q8×C29C2×D411yescharacteristic
184C2×D4×C29—21no—
185C2×D4×C29—21no—
186C2×D4×C29—21no—
187C2×D4×C29C2×D411yescharacteristic
188C22×C4×C29—21no—
189C22×C4×C29—21no—
190C22×C4×C29—21no—
191C22×C4×C29—21no—
192C22×C4×C29—21no—
193C22×C4×C29—22no—
194C22×C4×C29—22no—
195C22×C4×C29C2×D411yescharacteristic
196C22×C4×C29C2×D411yescharacteristic
197C22×C4×C29C2×D411yescharacteristic
198C22×C4×C29C2×D411yescharacteristic
199C22×C4×C29C2×D411yescharacteristic
200C22×C4×C29C2411yescharacteristic
201C2×C8×C29—22no—
202C2×C8×C29—22no—
203C4⋊C4×C29—21no—
204C4⋊C4×C29—21no—
205C4⋊C4×C29—21no—
206C4⋊C4×C29—21no—
207C4⋊C4×C29—21no—
208C4⋊C4×C29—21no—
209C4⋊C4×C29—21no—
210C4⋊C4×C29—21no—
211C4⋊C4×C29—21no—
212C4⋊C4×C29—21no—
213C4⋊C4×C29—21no—
214C4⋊C4×C29—21no—
215C4⋊C4×C29—21no—
216C4⋊C4×C29—21no—
217C4⋊C4×C29—21no—
218C4⋊C4×C29—21no—
219C4⋊C4×C29—21no—
220C4⋊C4×C29—21no—
221C4⋊C4×C29—21no—
222C4⋊C4×C29—21no—
223C4⋊C4×C29—21no—
224C4⋊C4×C29—21no—
225C4⋊C4×C29—21no—
226C4⋊C4×C29—21no—
227C4⋊C4×C29—21no—
228C4⋊C4×C29—21no—
229C4⋊C4×C29—21no—
230C4⋊C4×C29—21no—
231C4⋊C4×C29—21no—
232C4⋊C4×C29—22no—
233C4⋊C4×C29—22no—
234C4⋊C4×C29—41no—
235C4⋊C4×C29—41no—
236C4⋊C4×C29—82no—
237C4⋊C4×C29C2×D411yescharacteristic
238C4⋊C4×C29C2×D411yescharacteristic
239C4⋊C4×C29C2×D411yescharacteristic
240C4⋊C4×C29C2×D411yescharacteristic
241C22⋊C4×C29—21no—
242C22⋊C4×C29—21no—
243C22⋊C4×C29—21no—
244C22⋊C4×C29—21no—
245C22⋊C4×C29—21no—
246C22⋊C4×C29—21no—
247C22⋊C4×C29—21no—
248C22⋊C4×C29—21no—
249C22⋊C4×C29—21no—
250C22⋊C4×C29—21no—
251C22⋊C4×C29—21no—
252C22⋊C4×C29—21no—
253C22⋊C4×C29—21no—
254C22⋊C4×C29—21no—
255C22⋊C4×C29—21no—
256C22⋊C4×C29—21no—
257C22⋊C4×C29—21no—
258C22⋊C4×C29—21no—
259C22⋊C4×C29—21no—
260C22⋊C4×C29—21no—
261C22⋊C4×C29—21no—
262C22⋊C4×C29—82no—
263C42×C29—21no—
264C42×C29—21no—
265C42×C29—21no—
266C42×C29—21no—
267C42×C29—21no—
268C42×C29—21no—
269C42×C29—21no—
270C42×C29C2×D411yescharacteristic
271C42×C29C2×D411yescharacteristic
272C42×C29C2×D411yescharacteristic
273C42×C29C2×D411yescharacteristic
274#18472C2911yesmaximal, characteristic, direct product factor, Sylow
275C23×C29—21no—
276C23×C29—21no—
277C23×C29—22no—
278C23×C29—41no—
279C23×C29—41no—
280C23×C29C22×D411yescharacteristic
281Q8×C29—41no—
282Q8×C29—41no—
283Q8×C29—41no—
284Q8×C29—81no—
285Q8×C29—82no—
286Q8×C29—82no—
287Q8×C29—81no—
288Q8×C29—81no—
289D4×C29—41no—
290D4×C29—42no—
291D4×C29—81no—
292D4×C29—81no—
293C2×C4×C29—22no—
294C2×C4×C29—21no—
295C2×C4×C29—21no—
296C2×C4×C29—21no—
297C2×C4×C29—21no—
298C2×C4×C29—21no—
299C2×C4×C29—21no—
300C2×C4×C29—21no—
301C2×C4×C29—21no—
302C2×C4×C29—21no—
303C2×C4×C29—21no—
304C2×C4×C29—22no—
305C2×C4×C29—41no—
306C2×C4×C29—41no—
307C2×C4×C29—41no—
308C2×C4×C29—41no—
309C2×C4×C29—42no—
310C2×C4×C29—42no—
311C2×C4×C29—42no—
312C2×C4×C29—42no—
313C2×C4×C29—42no—
314C2×C4×C29—42no—
315C2×C4×C29—81no—
316C2×C4×C29—81no—
317C2×C4×C29—81no—
318C2×C4×C29—81no—
319C2×C4×C29—81no—
320C2×C4×C29#12011yescharacteristic
321C2×C4×C29#12011yescharacteristic
322C2×C4×C29#12011yescharacteristic
323C2×C4×C29#12011yescharacteristic
324C2×C4×C29C22×D411yescharacteristic
325C2×C4×C29C22×D411yescharacteristic
326C8×C29—42no—
327C8×C29—42no—
328#3564C2×C2911yescharacteristic
329#3238C2×C2911yescharacteristic, complemented
330#3229C2×C2911yescharacteristic, complemented
331#2821C2×C2911yescharacteristic, complemented
332#1612C2×C2912yes—
333#1611C2×C2912yescomplemented
334#1609C2×C2912yescomplemented
335#1608C2×C2912yescomplemented
336#1521C2×C2911yescharacteristic, complemented
337#1515C2×C2911yescharacteristic, complemented
338#1473C2×C2911yescharacteristic, complemented
339C22×C29—21no—
340C22×C29—21no—
341C22×C29—41no—
342C22×C29—41no—
343C22×C29—41no—
344C22×C29—41no—
345C22×C29—41no—
346C22×C29—41no—
347C22×C29—82no—
348C22×C29C2×#12011yescharacteristic
349C22×C29#57712yes—
350C4×C29—21no—
351C4×C29—21no—
352C4×C29—21no—
353C4×C29—21no—
354C4×C29—21no—
355C4×C29—21no—
356C4×C29—41no—
357C4×C29—41no—
358C4×C29—41no—
359C4×C29—41no—
360C4×C29—41no—
361C4×C29—41no—
362C4×C29—41no—
363C4×C29—41no—
364C4×C29—41no—
365C4×C29—41no—
366C4×C29—82no—
367C4×C29—82no—
368#563—21no—
369#563—21no—
370#556—21no—
371#554—21no—
372#552—21no—
373#552—21no—
374#551—21no—
375#551—21no—
376#544C22×C2911yescharacteristic
377#543C22×C2911yescharacteristic
378#542—21no—
379#541—21no—
380#541—21no—
381#539—21no—
382#539C22×C2911yescharacteristic
383#538C22×C2911yescharacteristic
384#533C22×C2911yescharacteristic
385C2×C4⋊Q8C22×C2911yescharacteristic
386#529C22×C2911yescharacteristic
387C2×#126C22×C2911yescharacteristic
388#501—21no—
389#498—21no—
390#489—21no—
391#487—21no—
392#483C22×C2912yes—
393#483C22×C2912yes—
394#483C22×C2912yes—
395#480C22×C2912yes—
396#477—21no—
397#476—21no—
398#475—21no—
399#475—21no—
400#432C22×C2911yescharacteristic
401#431C22×C2911yescharacteristic
402#400—21no—
403#399—21no—
404#398C22×C2912yes—
405#397C22×C2912yes—
406#395—21no—
407#393—21no—
408#383C22×C2911yescharacteristic
409#328C22×C2912yes—
410#328C22×C2912yes—
411#328C22×C2912yes—
412#327C22×C2912yes—
413#324C22×C2912yes—
414#323C22×C2912yes—
415C2×C29—22no—
416C2×C29—81no—
417C2×C29—81no—
418C2×C29#301011yescharacteristic
419C2×C29#302211yescharacteristic
420C2×C29#302811yescharacteristic
421C22×Q8—21no—
422C4⋊Q8—21no—
423C4⋊Q8—21no—
424C4⋊Q8—21no—
425C4⋊Q8—21no—
426C4⋊Q8—21no—
427C4⋊Q8—21no—
428C4⋊Q8—21no—
429C4⋊Q8D4×C2911yescharacteristic
430C4⋊Q8D4×C2911yescharacteristic
431#126—21no—
432#126—21no—
433#126—21no—
434#126—21no—
435#126—21no—
436#126—21no—
437#126—21no—
438#126—21no—
439#126—21no—
440#126—21no—
441#126—21no—
442#126—21no—
443#126—21no—
444#125—21no—
445#125—21no—
446#125—21no—
447#125—21no—
448#125—21no—
449#125—21no—
450#125—21no—
451#125—21no—
452#125—21no—
453#125D4×C2911yescharacteristic
454#124—21no—
455#124—21no—
456#124—21no—
457#124D4×C2911yescharacteristic
458#123—21no—
459#123—21no—
460#123—21no—
461#123—21no—
462#123—21no—
463#123—21no—
464#123—21no—
465#123—21no—
466C22⋊Q8—21no—
467C22⋊Q8—21no—
468C22⋊Q8—21no—
469C22⋊Q8—21no—
470C22⋊Q8—21no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—21no—
475C22⋊Q8—21no—
476C22⋊Q8—21no—
477C22⋊Q8—21no—
478C22⋊Q8—21no—
479C22⋊Q8—21no—
480C22⋊Q8C23×C2911yescharacteristic
481C22⋊Q8C23×C2911yescharacteristic
482C22⋊Q8C23×C2911yescharacteristic
483#121—21no—
484#121C23×C2911yescharacteristic
485#120—21no—
486C4×Q8—21no—
487C4×Q8—21no—
488C4×Q8—21no—
489C4×Q8D4×C2911yescharacteristic
490C4×Q8D4×C2911yescharacteristic
491C4×Q8D4×C2911yescharacteristic
492C4×D4—21no—
493C4×D4—21no—
494C4×D4—21no—
495C4×D4—21no—
496C4×D4—21no—
497C4×D4D4×C2911yescharacteristic
498#117—21no—
499#117—21no—
500#117—21no—
501#117—21no—
502#117—21no—
503#117—21no—
504C2×C4⋊C4—21no—
505C2×C4⋊C4—21no—
506C2×C4⋊C4—22no—
507C2×C4⋊C4D4×C2911yescharacteristic
508C2×C4⋊C4D4×C2911yescharacteristic
509C2×C4⋊C4C23×C2912yes—
510C2×C4⋊C4C23×C2911yescharacteristic
511C2×C22⋊C4—21no—
512C2×C22⋊C4—22no—
513C2×C22⋊C4D4×C2911yescharacteristic
514C2×C22⋊C4D4×C2911yescharacteristic
515C2×C22⋊C4C23×C2911yescharacteristic
516C2×C42C23×C2911yescharacteristic
517#107—22no—
518#106—22no—
519#106—22no—
520#106—22no—
521C4⋊C8—21no—
522C4⋊C8—21no—
523#103—22no—
524#103—22no—
525#103—22no—
526#102—22no—
527C22⋊C8C23×C2912yes—
528C22⋊C8C23×C2912yes—
529#97—21no—
530C4×C8—21no—
531#95—21no—
532#95—21no—
533#95—22no—
534#95—22no—
535#95C23×C2912yes—
536C29#1847211yescharacteristic, direct product factor, Sylow
537C24C2×D4×C2911yescharacteristic
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—41no—
542C2×Q8—41no—
543C2×Q8—82no—
544C2×Q8C2×D4×C2911yescharacteristic
545C2×Q8C2×D4×C2911yescharacteristic
546C2×Q8C2×D4×C2911yescharacteristic
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4C2×D4×C2911yescharacteristic
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—22no—
557C22×C4—22no—
558C22×C4C2×D4×C2911yescharacteristic
559C22×C4C2×D4×C2911yescharacteristic
560C22×C4C2×D4×C2911yescharacteristic
561C22×C4C2×D4×C2911yescharacteristic
562C22×C4C2×D4×C2911yescharacteristic
563C22×C4C24×C2911yescharacteristic
564C2×C8—22no—
565C2×C8—22no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—22no—
596C4⋊C4—22no—
597C4⋊C4—41no—
598C4⋊C4—41no—
599C4⋊C4—82no—
600C4⋊C4C2×D4×C2911yescharacteristic
601C4⋊C4C2×D4×C2911yescharacteristic
602C4⋊C4C2×D4×C2911yescharacteristic
603C4⋊C4C2×D4×C2911yescharacteristic
604C22⋊C4—21no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C22⋊C4—21no—
610C22⋊C4—21no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—21no—
621C22⋊C4—21no—
622C22⋊C4—21no—
623C22⋊C4—21no—
624C22⋊C4—21no—
625C22⋊C4—82no—
626C42—21no—
627C42—21no—
628C42—21no—
629C42—21no—
630C42—21no—
631C42—21no—
632C42—21no—
633C42C2×D4×C2911yescharacteristic
634C42C2×D4×C2911yescharacteristic
635C42C2×D4×C2911yescharacteristic
636C42C2×D4×C2911yescharacteristic
637C23—21no—
638C23—21no—
639C23—22no—
640C23—41no—
641C23—41no—
642C23C22×D4×C2911yescharacteristic
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8—81no—
647Q8—82no—
648Q8—82no—
649Q8—81no—
650Q8—81no—
651D4—41no—
652D4—42no—
653D4—81no—
654D4—81no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—81no—
678C2×C4—81no—
679C2×C4—81no—
680C2×C4—81no—
681C2×C4—81no—
682C2×C4C29×#12011yescharacteristic
683C2×C4C29×#12011yescharacteristic
684C2×C4C29×#12011yescharacteristic
685C2×C4C29×#12011yescharacteristic
686C2×C4C22×D4×C2911yescharacteristic
687C2×C4C22×D4×C2911yescharacteristic
688C8—42no—
689C8—42no—
690C22—21no—
691C22—21no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—82no—
699C22C2×C29×#12011yescharacteristic
700C22C29×#57712yes—
701C4—21no—
702C4—21no—
703C4—21no—
704C4—21no—
705C4—21no—
706C4—21no—
707C4—41no—
708C4—41no—
709C4—41no—
710C4—41no—
711C4—41no—
712C4—41no—
713C4—41no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—82no—
718C4—82no—
719C2—22no—
720C2—81no—
721C2—81no—
722C2C29×#301011yescharacteristic
723C2C29×#302211yescharacteristic
724C2C29×#302811yescharacteristic
subgroupG/H
center, socleC22×C29C2×#120
commutator, Frattini, cosocleC22×C4C24×C29
prime radicalC29×#538C22
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C29 ◁ C2×C42×C29 ◁ G

Complements

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

NH ≅ G/Ntype
2. C29×#3238C2semidirect
3. C29×#3229C2semidirect
4. C29×#2821C2semidirect
6. C29×#1611C2semidirect
7. C29×#1609C2semidirect
8. C29×#1608C2semidirect
9. C29×#1521C2semidirect
10. C29×#1515C2semidirect
11. C29×#1473C2semidirect
274. #18472C29direct (N × H)
329. #3238C2×C29semidirect
330. #3229C2×C29semidirect
331. #2821C2×C29semidirect
333. #1611C2×C29semidirect
334. #1609C2×C29semidirect
335. #1608C2×C29semidirect
336. #1521C2×C29semidirect
337. #1515C2×C29semidirect
338. #1473C2×C29semidirect
536. C29#18472direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#35642
C29×#32382
C29×#32292
C29×#28212
C29×#16122
C29×#16112
C29×#16092
C29×#16082
C29×#15212
C29×#15152
C29×#14732
#1847229