Finite Group Databasebeta

← C29×#24713 #20319613

Subgroups — C29×#24713 #20319613

Order 7424.

794 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C29×#478C211yesmaximal, characteristic, complemented
2C2×C29×#433C211yesmaximal, characteristic, complemented
3C29×#2629C211yesmaximal, characteristic, complemented
4C29×#2324C211yesmaximal, characteristic
5C29×#2077C211yesmaximal, characteristic, complemented
6C29×#2076C211yesmaximal, characteristic, complemented
7C29×#2033C211yesmaximal, characteristic
8C29×#2033C211yesmaximal, characteristic
9C29×#1989C211yesmaximal, characteristic, complemented
10C29×#1947C211yesmaximal, characteristic, complemented
11C29×#1943C211yesmaximal, characteristic, complemented
12C29×#1942C211yesmaximal, characteristic, complemented
13C29×#1936C211yesmaximal, characteristic, complemented
14C29×#1934C211yesmaximal, characteristic, complemented
15C29×#1802C211yesmaximal, characteristic, complemented
16C2×C29×#125C2211yescharacteristic
17C2×C29×#121C2211yescharacteristic
18C2×C4×D4×C29C2211yescharacteristic
19C2×C29×#117C2211yescharacteristic
20C29×#478—24no—
21C29×#433—24no—
22C2×C29×#107C2211yescharacteristic
23C2×C29×#107C2211yescharacteristic
24C2×C29×#107C2211yescharacteristic
25C2×C29×#106C2211yescharacteristic
26C2×C29×C4⋊C8C2211yescharacteristic
27C2×C29×C4⋊C8C2211yescharacteristic
28C2×C29×#102C2211yescharacteristic
29C2×C29×#102C2211yescharacteristic
30C2×C29×#102C2211yescharacteristic
31C2×C29×#102C2211yescharacteristic
32C2×C29×C22⋊C8C2211yescharacteristic
33C2×C29×C22⋊C8C2211yescharacteristic
34C2×C29×#97C2211yescharacteristic
35C2×C4×C8×C29C2211yescharacteristic
36C29×#398—21no—
37C29×#398—21no—
38C29×#396—21no—
39C29×#396—21no—
40C29×#390—21no—
41C29×#390C2211yescharacteristic
42C29×#389C2211yescharacteristic
43C29×#389C2211yescharacteristic
44C29×#389C2211yescharacteristic
45C29×#388—21no—
46C29×#386—21no—
47C29×#385—21no—
48C29×#384C2211yescharacteristic
49C29×#380C2211yescharacteristic
50C29×#380C2211yescharacteristic
51C29×#380C2211yescharacteristic
52C4×C4⋊C4×C29C2211yescharacteristic
53C29×#340C2211yescharacteristic
54C29×#340C2211yescharacteristic
55C29×#340C2211yescharacteristic
56C29×#340C2211yescharacteristic
57C29×#340C2211yescharacteristic
58C29×#340C2211yescharacteristic
59C29×#340C2211yescharacteristic
60C29×#340C2211yescharacteristic
61C22×D4×C29—21no—
62C22×D4×C29C2311yescharacteristic
63C23×C4×C29—21no—
64C23×C4×C29C2311yescharacteristic
65C22×C8×C29C2311yescharacteristic
66C22×C8×C29C2311yescharacteristic
67C22×C8×C29C2311yescharacteristic
68C22×C8×C29C2311yescharacteristic
69C29×#125—22no—
70C29×#125—22no—
71C29×#121—22no—
72C29×#121—22no—
73C4×D4×C29—22no—
74C4×D4×C29—22no—
75C29×#117—22no—
76C29×#117—22no—
77C2×C4⋊C4×C29—21no—
78C2×C4⋊C4×C29—21no—
79C2×C4⋊C4×C29—21no—
80C2×C4⋊C4×C29—21no—
81C2×C4⋊C4×C29—21no—
82C2×C4⋊C4×C29—21no—
83C2×C4⋊C4×C29—21no—
84C2×C4⋊C4×C29D411yescharacteristic
85C2×C4⋊C4×C29D411yescharacteristic
86C2×C4⋊C4×C29C2311yescharacteristic
87C2×C4⋊C4×C29C2311yescharacteristic
88C2×C4⋊C4×C29C2311yescharacteristic
89C2×C4⋊C4×C29C2311yescharacteristic
90C2×C4⋊C4×C29C2311yescharacteristic
91C2×C4⋊C4×C29C2311yescharacteristic
92C2×C4⋊C4×C29C2311yescharacteristic
93C2×C22⋊C4×C29—21no—
94C2×C22⋊C4×C29—21no—
95C2×C22⋊C4×C29—21no—
96C2×C22⋊C4×C29—21no—
97C2×C22⋊C4×C29—21no—
98C2×C22⋊C4×C29—21no—
99C2×C22⋊C4×C29—21no—
100C2×C22⋊C4×C29D411yescharacteristic
101C2×C22⋊C4×C29D411yescharacteristic
102C2×C42×C29—21no—
103C2×C42×C29C2311yescharacteristic
104C2×C42×C29C2311yescharacteristic
105C29×#107—22no—
106C29×#107—22no—
107C29×#107—22no—
108C29×#106—22no—
109C29×C4⋊C8—22no—
110C29×C4⋊C8D414yescomplemented
111C29×#102—22no—
112C29×#102—22no—
113C29×#102—22no—
114C29×#102—22no—
115C29×C22⋊C8—22no—
116C29×C22⋊C8—22no—
117C29×#97—22no—
118C4×C8×C29—22no—
119C29×#95—21no—
120C29×#95—21no—
121C29×#95—21no—
122C29×#95—21no—
123C29×#95—21no—
124C29×#95—21no—
125C29×#95—21no—
126C24×C29—21no—
127C24×C29C2×D411yescharacteristic
128C2×D4×C29—24no—
129C2×D4×C29—21no—
130C2×D4×C29—21no—
131C2×D4×C29—21no—
132C2×D4×C29—21no—
133C2×D4×C29—21no—
134C2×D4×C29—81no—
135C2×D4×C29—81no—
136C2×D4×C29#4112yes—
137C22×C4×C29—21no—
138C22×C4×C29—21no—
139C22×C4×C29—21no—
140C22×C4×C29—21no—
141C22×C4×C29—21no—
142C22×C4×C29—21no—
143C22×C4×C29—21no—
144C22×C4×C29—21no—
145C22×C4×C29—21no—
146C22×C4×C29—21no—
147C22×C4×C29—21no—
148C22×C4×C29—21no—
149C22×C4×C29—21no—
150C22×C4×C29—42no—
151C22×C4×C29—81no—
152C22×C4×C29—81no—
153C22×C4×C29C2×D411yescharacteristic
154C22×C4×C29C2×D411yescharacteristic
155C22×C4×C29C2×D411yescharacteristic
156C22×C4×C29C2×D411yescharacteristic
157C22×C4×C29C2×D411yescharacteristic
158C22×C4×C29C2411yescharacteristic
159C2×C8×C29—21no—
160C2×C8×C29—21no—
161C2×C8×C29—21no—
162C2×C8×C29—21no—
163C2×C8×C29—21no—
164C2×C8×C29—21no—
165C2×C8×C29—21no—
166C2×C8×C29—21no—
167C2×C8×C29—21no—
168C2×C8×C29—21no—
169C2×C8×C29C2×D412yes—
170C2×C8×C29C2×D412yes—
171C4⋊C4×C29—22no—
172C4⋊C4×C29—22no—
173C4⋊C4×C29—21no—
174C4⋊C4×C29—21no—
175C4⋊C4×C29—21no—
176C4⋊C4×C29—21no—
177C4⋊C4×C29—21no—
178C4⋊C4×C29—21no—
179C4⋊C4×C29—21no—
180C4⋊C4×C29—21no—
181C4⋊C4×C29—21no—
182C4⋊C4×C29—21no—
183C4⋊C4×C29—21no—
184C4⋊C4×C29—21no—
185C4⋊C4×C29—21no—
186C4⋊C4×C29—42no—
187C4⋊C4×C29—42no—
188C4⋊C4×C29—81no—
189C4⋊C4×C29—81no—
190C4⋊C4×C29—81no—
191C4⋊C4×C29—81no—
192C4⋊C4×C29—81no—
193C4⋊C4×C29#4112yes—
194C22⋊C4×C29—24no—
195C22⋊C4×C29—22no—
196C22⋊C4×C29—22no—
197C22⋊C4×C29—42no—
198C22⋊C4×C29—81no—
199C22⋊C4×C29—81no—
200C22⋊C4×C29—81no—
201C22⋊C4×C29—81no—
202C22⋊C4×C29—81no—
203C42×C29—21no—
204C42×C29—21no—
205C42×C29—81no—
206C42×C29C2×D412yes—
207C42×C29#4112yes—
208#24713C2911yesmaximal, characteristic, direct product factor, Sylow
209C23×C29—21no—
210C23×C29—22no—
211C23×C29—21no—
212C23×C29—21no—
213C23×C29—21no—
214C23×C29—21no—
215C23×C29—21no—
216C23×C29—21no—
217C23×C29—41no—
218C23×C29—41no—
219C23×C29—41no—
220C23×C29—41no—
221C23×C29—41no—
222C23×C29—41no—
223C23×C29C22×D411yescharacteristic
224D4×C29—22no—
225D4×C29—22no—
226D4×C29—41no—
227D4×C29—41no—
228D4×C29—84no—
229C2×C4×C29—21no—
230C2×C4×C29—21no—
231C2×C4×C29—21no—
232C2×C4×C29—21no—
233C2×C4×C29—21no—
234C2×C4×C29—21no—
235C2×C4×C29—21no—
236C2×C4×C29—21no—
237C2×C4×C29—22no—
238C2×C4×C29—21no—
239C2×C4×C29—21no—
240C2×C4×C29—21no—
241C2×C4×C29—21no—
242C2×C4×C29—21no—
243C2×C4×C29—41no—
244C2×C4×C29—41no—
245C2×C4×C29—41no—
246C2×C4×C29—41no—
247C2×C4×C29—41no—
248C2×C4×C29—41no—
249C2×C4×C29—41no—
250C2×C4×C29—41no—
251C2×C4×C29—41no—
252C2×C4×C29—41no—
253C2×C4×C29—41no—
254C2×C4×C29—41no—
255C2×C4×C29—41no—
256C2×C4×C29—41no—
257C2×C4×C29—41no—
258C2×C4×C29—41no—
259C2×C4×C29—41no—
260C2×C4×C29—41no—
261C2×C4×C29—41no—
262C2×C4×C29—41no—
263C2×C4×C29—41no—
264C2×C4×C29—41no—
265C2×C4×C29—41no—
266C2×C4×C29—41no—
267C2×C4×C29—84no—
268C2×C4×C29#12112yes—
269C2×C4×C29#12112yes—
270C2×C4×C29C22×D411yescharacteristic
271C2×C4×C29C2×#4111yescharacteristic
272C2×C4×C29C2×#4111yescharacteristic
273C2×C4×C29C2×#4111yescharacteristic
274C2×C4×C292−1+411yescharacteristic
275C2×C4×C292−1+411yescharacteristic
276C8×C29—22no—
277C8×C29—22no—
278C8×C29—41no—
279C8×C29—41no—
280C2×#478C2×C2911yescharacteristic, complemented
281C2×#433C2×C2911yescharacteristic, complemented
282#2629C2×C2911yescharacteristic, complemented
283#2324C2×C2911yescharacteristic
284#2077C2×C2911yescharacteristic, complemented
285#2076C2×C2911yescharacteristic, complemented
286#2033C2×C2911yescharacteristic
287#2033C2×C2911yescharacteristic
288#1989C2×C2911yescharacteristic, complemented
289#1947C2×C2911yescharacteristic, complemented
290#1943C2×C2911yescharacteristic, complemented
291#1942C2×C2911yescharacteristic, complemented
292#1936C2×C2911yescharacteristic, complemented
293#1934C2×C2911yescharacteristic, complemented
294#1802C2×C2911yescharacteristic, complemented
295C22×C29—41no—
296C22×C29—42no—
297C22×C29—41no—
298C22×C29—42no—
299C22×C29—41no—
300C22×C29—42no—
301C22×C29—41no—
302C22×C29—41no—
303C22×C29—41no—
304C22×C29—41no—
305C22×C29—81no—
306C22×C29—81no—
307C22×C29—81no—
308C22×C29—81no—
309C22×C29C2×#12111yescharacteristic
310C22×C29#52511yescharacteristic
311C22×C29#53611yescharacteristic
312C22×C29#57611yescharacteristic
313C22×C29#57611yescharacteristic
314C22×C29#57711yescharacteristic
315C22×C29#57811yescharacteristic
316C4×C29—22no—
317C4×C29—22no—
318C4×C29—42no—
319C4×C29—41no—
320C4×C29—41no—
321C4×C29—41no—
322C4×C29—81no—
323C4×C29—81no—
324C4×C29—81no—
325C4×C29—81no—
326C4×C29—81no—
327C4×C29—81no—
328C4×C29#54711yescharacteristic
329C4×C29#54811yescharacteristic
330C4×C29#55211yescharacteristic
331C4×C29#55611yescharacteristic
332C2×#125C22×C2911yescharacteristic
333C2×#121C22×C2911yescharacteristic
334C2×C4×D4C22×C2911yescharacteristic
335C2×#117C22×C2911yescharacteristic
336#478—24no—
337#433—24no—
338C2×#107C22×C2911yescharacteristic
339C2×#107C22×C2911yescharacteristic
340C2×#107C22×C2911yescharacteristic
341C2×#106C22×C2911yescharacteristic
342C2×C4⋊C8C22×C2911yescharacteristic
343C2×C4⋊C8C22×C2911yescharacteristic
344C2×#102C22×C2911yescharacteristic
345C2×#102C22×C2911yescharacteristic
346C2×#102C22×C2911yescharacteristic
347C2×#102C22×C2911yescharacteristic
348C2×C22⋊C8C22×C2911yescharacteristic
349C2×C22⋊C8C22×C2911yescharacteristic
350C2×#97C22×C2911yescharacteristic
351C2×C4×C8C22×C2911yescharacteristic
352#398—21no—
353#398—21no—
354#396—21no—
355#396—21no—
356#390—21no—
357#390C22×C2911yescharacteristic
358#389C22×C2911yescharacteristic
359#389C22×C2911yescharacteristic
360#389C22×C2911yescharacteristic
361#388—21no—
362#386—21no—
363#385—21no—
364#384C22×C2911yescharacteristic
365#380C22×C2911yescharacteristic
366#380C22×C2911yescharacteristic
367#380C22×C2911yescharacteristic
368C4×C4⋊C4C22×C2911yescharacteristic
369#340C22×C2911yescharacteristic
370#340C22×C2911yescharacteristic
371#340C22×C2911yescharacteristic
372#340C22×C2911yescharacteristic
373#340C22×C2911yescharacteristic
374#340C22×C2911yescharacteristic
375#340C22×C2911yescharacteristic
376#340C22×C2911yescharacteristic
377C2×C29—81no—
378C2×C29—82no—
379C2×C29#241511yescharacteristic
380C2×C29#306111yescharacteristic
381C2×C29#306211yescharacteristic
382C2×C29#312011yescharacteristic
383C2×C29#312211yescharacteristic
384C2×C29#324111yescharacteristic
385C2×C29#324311yescharacteristic
386C22×D4—21no—
387C22×D4C23×C2911yescharacteristic
388C23×C4—21no—
389C23×C4C23×C2911yescharacteristic
390C22×C8C23×C2911yescharacteristic
391C22×C8C23×C2911yescharacteristic
392C22×C8C23×C2911yescharacteristic
393C22×C8C23×C2911yescharacteristic
394#125—22no—
395#125—22no—
396#121—22no—
397#121—22no—
398C4×D4—22no—
399C4×D4—22no—
400#117—22no—
401#117—22no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4D4×C2911yescharacteristic
410C2×C4⋊C4D4×C2911yescharacteristic
411C2×C4⋊C4C23×C2911yescharacteristic
412C2×C4⋊C4C23×C2911yescharacteristic
413C2×C4⋊C4C23×C2911yescharacteristic
414C2×C4⋊C4C23×C2911yescharacteristic
415C2×C4⋊C4C23×C2911yescharacteristic
416C2×C4⋊C4C23×C2911yescharacteristic
417C2×C4⋊C4C23×C2911yescharacteristic
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4D4×C2911yescharacteristic
426C2×C22⋊C4D4×C2911yescharacteristic
427C2×C42—21no—
428C2×C42C23×C2911yescharacteristic
429C2×C42C23×C2911yescharacteristic
430#107—22no—
431#107—22no—
432#107—22no—
433#106—22no—
434C4⋊C8—22no—
435C4⋊C8D4×C2914yescomplemented
436#102—22no—
437#102—22no—
438#102—22no—
439#102—22no—
440C22⋊C8—22no—
441C22⋊C8—22no—
442#97—22no—
443C4×C8—22no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451C29#2471311yescharacteristic, direct product factor, Sylow
452C24—21no—
453C24C2×D4×C2911yescharacteristic
454C2×D4—24no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4—21no—
460C2×D4—81no—
461C2×D4—81no—
462C2×D4#41×C2912yes—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—42no—
477C22×C4—81no—
478C22×C4—81no—
479C22×C4C2×D4×C2911yescharacteristic
480C22×C4C2×D4×C2911yescharacteristic
481C22×C4C2×D4×C2911yescharacteristic
482C22×C4C2×D4×C2911yescharacteristic
483C22×C4C2×D4×C2911yescharacteristic
484C22×C4C24×C2911yescharacteristic
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8C2×D4×C2912yes—
496C2×C8C2×D4×C2912yes—
497C4⋊C4—22no—
498C4⋊C4—22no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—42no—
513C4⋊C4—42no—
514C4⋊C4—81no—
515C4⋊C4—81no—
516C4⋊C4—81no—
517C4⋊C4—81no—
518C4⋊C4—81no—
519C4⋊C4#41×C2912yes—
520C22⋊C4—24no—
521C22⋊C4—22no—
522C22⋊C4—22no—
523C22⋊C4—42no—
524C22⋊C4—81no—
525C22⋊C4—81no—
526C22⋊C4—81no—
527C22⋊C4—81no—
528C22⋊C4—81no—
529C42—21no—
530C42—21no—
531C42—81no—
532C42C2×D4×C2912yes—
533C42#41×C2912yes—
534C23—21no—
535C23—22no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23C22×D4×C2911yescharacteristic
549D4—22no—
550D4—22no—
551D4—41no—
552D4—41no—
553D4—84no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—22no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—84no—
593C2×C4C29×#12112yes—
594C2×C4C29×#12112yes—
595C2×C4C22×D4×C2911yescharacteristic
596C2×C4C2×#41×C2911yescharacteristic
597C2×C4C2×#41×C2911yescharacteristic
598C2×C4C2×#41×C2911yescharacteristic
599C2×C4C29×2−1+411yescharacteristic
600C2×C4C29×2−1+411yescharacteristic
601C8—22no—
602C8—22no—
603C8—41no—
604C8—41no—
605C22—41no—
606C22—42no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—42no—
613C22—41no—
614C22—42no—
615C22—81no—
616C22—81no—
617C22—81no—
618C22—81no—
619C22C2×C29×#12111yescharacteristic
620C22C29×#52511yescharacteristic
621C22C29×#53611yescharacteristic
622C22C29×#57611yescharacteristic
623C22C29×#57611yescharacteristic
624C22C29×#57711yescharacteristic
625C22C29×#57811yescharacteristic
626C4—22no—
627C4—22no—
628C4—41no—
629C4—41no—
630C4—41no—
631C4—42no—
632C4—81no—
633C4—81no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4—81no—
638C4C29×#54711yescharacteristic
639C4C29×#54811yescharacteristic
640C4C29×#55211yescharacteristic
641C4C29×#55611yescharacteristic
642C2—81no—
643C2—82no—
644C2C29×#241511yescharacteristic
645C2C29×#306111yescharacteristic
646C2C29×#306211yescharacteristic
647C2C29×#312011yescharacteristic
648C2C29×#312211yescharacteristic
649C2C29×#324111yescharacteristic
650C2C29×#324311yescharacteristic
subgroupG/H
center, socleC23×C29C22×D4
commutator, Frattini, cosocleC22×C4C24×C29
prime radicalC2×C29×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C29 ◁ C2×C29×#117 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C29×#478C2semidirect
2. C2×C29×#433C2semidirect
3. C29×#2629C2semidirect
5. C29×#2077C2semidirect
6. C29×#2076C2semidirect
9. C29×#1989C2semidirect
10. C29×#1947C2semidirect
11. C29×#1943C2semidirect
12. C29×#1942C2semidirect
13. C29×#1936C2semidirect
14. C29×#1934C2semidirect
15. C29×#1802C2semidirect
110. C29×C4⋊C8D4semidirect
208. #24713C29direct (N × H)
280. C2×#478C2×C29semidirect
281. C2×#433C2×C29semidirect
282. #2629C2×C29semidirect
284. #2077C2×C29semidirect
285. #2076C2×C29semidirect
288. #1989C2×C29semidirect
289. #1947C2×C29semidirect
290. #1943C2×C29semidirect
291. #1942C2×C29semidirect
292. #1936C2×C29semidirect
293. #1934C2×C29semidirect
294. #1802C2×C29semidirect
435. C4⋊C8D4×C29semidirect
451. C29#24713direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C29×#4782
C2×C29×#4332
C29×#26292
C29×#23242
C29×#20772
C29×#20762
C29×#20332
C29×#19892
C29×#19472
C29×#19432
C29×#19422
C29×#19362
C29×#19342
C29×#18022
#2471329