Finite Group Databasebeta

← C29×#29005 #20323905

Subgroups — C29×#29005 #20323905

Order 7424.

794 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#2491C211yesmaximal, characteristic
2C29×#2423C211yesmaximal, characteristic, complemented
3C29×#2077C211yesmaximal, characteristic, complemented
4C29×#2071C211yesmaximal, characteristic, complemented
5C29×#2024C211yesmaximal, characteristic, complemented
6C29×#2000C211yesmaximal, characteristic
7C29×#1990C211yesmaximal, characteristic, complemented
8C29×#1968C211yesmaximal, characteristic, complemented
9C29×#1936C211yesmaximal, characteristic, complemented
10C29×#1919C211yesmaximal, characteristic, complemented
11C29×#1895C211yesmaximal, characteristic
12C29×#1894C211yesmaximal, characteristic, complemented
13C29×#1880C211yesmaximal, characteristic, complemented
14C29×#1763C211yesmaximal, characteristic, complemented
15C29×#1753C211yesmaximal, characteristic, complemented
16C22×SD16×C29C2211yescharacteristic
17C22×M16×C29C2211yescharacteristic
18C2×C29×C4⋊Q8C2211yescharacteristic
19C2×C29×#124—21no—
20C2×C29×C22⋊Q8C2211yescharacteristic
21C2×C29×#121C2211yescharacteristic
22C2×C4×Q8×C29C2211yescharacteristic
23C2×C29×#106C2211yescharacteristic
24C2×C29×#103C2211yescharacteristic
25C2×C29×#103C2211yescharacteristic
26C2×C29×#103C2211yescharacteristic
27C2×C29×#102C2211yescharacteristic
28C2×C29×#102C2211yescharacteristic
29C2×C29×#102C2211yescharacteristic
30C2×C29×C22⋊C8C2211yescharacteristic
31C2×C29×#97C2211yescharacteristic
32C2×C4×C8×C29C2211yescharacteristic
33C29×#399—21no—
34C29×#398—21no—
35C29×#394—21no—
36C29×#393—21no—
37C29×#391C2211yescharacteristic
38C29×#390C2211yescharacteristic
39C29×#390C2211yescharacteristic
40C29×#389C2211yescharacteristic
41C29×#388—21no—
42C29×#388—21no—
43C29×#387—21no—
44C29×#384C2211yescharacteristic
45C29×#380C2211yescharacteristic
46C29×#380C2211yescharacteristic
47C4×C4⋊C4×C29C2211yescharacteristic
48C4×C22⋊C4×C29C2211yescharacteristic
49C29×#340C2211yescharacteristic
50C29×#340C2211yescharacteristic
51C29×#340C2211yescharacteristic
52C29×#340C2211yescharacteristic
53C29×#340C2211yescharacteristic
54C29×#340C2211yescharacteristic
55C29×#340C2211yescharacteristic
56C29×#340C2211yescharacteristic
57C29×#336C2211yescharacteristic
58C29×#336C2211yescharacteristic
59C22×Q8×C29—21no—
60C22×Q8×C29C2311yescharacteristic
61C22×D4×C29—21no—
62C22×D4×C29C2311yescharacteristic
63C23×C4×C29C2311yescharacteristic
64C2×SD16×C29—22no—
65C2×SD16×C29—22no—
66C2×SD16×C29—41no—
67C2×M16×C29—22no—
68C2×M16×C29—41no—
69C2×M16×C29—41no—
70C22×C8×C29C2311yescharacteristic
71C22×C8×C29C2311yescharacteristic
72C22×C8×C29C2311yescharacteristic
73C22×C8×C29C2311yescharacteristic
74C29×C4⋊Q8—22no—
75C29×C4⋊Q8—41no—
76C29×#124—44no—
77C29×C22⋊Q8—22no—
78C29×C22⋊Q8—41no—
79C29×#121—22no—
80C29×#121—41no—
81C4×Q8×C29—22no—
82C4×Q8×C29—41no—
83C2×C4⋊C4×C29—21no—
84C2×C4⋊C4×C29—21no—
85C2×C4⋊C4×C29—21no—
86C2×C4⋊C4×C29—21no—
87C2×C4⋊C4×C29—21no—
88C2×C4⋊C4×C29—21no—
89C2×C4⋊C4×C29C2311yescharacteristic
90C2×C4⋊C4×C29C2311yescharacteristic
91C2×C4⋊C4×C29C2311yescharacteristic
92C2×C4⋊C4×C29C2311yescharacteristic
93C2×C4⋊C4×C29C2311yescharacteristic
94C2×C4⋊C4×C29C2311yescharacteristic
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×C29—21no—
101C2×C22⋊C4×C29—21no—
102C2×C22⋊C4×C29—21no—
103C2×C22⋊C4×C29D411yescharacteristic
104C2×C22⋊C4×C29D411yescharacteristic
105C2×C42×C29—21no—
106C2×C42×C29—21no—
107C2×C42×C29C2311yescharacteristic
108C2×C42×C29C2311yescharacteristic
109C29×#106—22no—
110C29×#103—22no—
111C29×#103—22no—
112C29×#103—41no—
113C29×#102—22no—
114C29×#102—41no—
115C29×#102—41no—
116C29×C22⋊C8—22no—
117C29×#97—41no—
118C4×C8×C29—41no—
119C29×#95—21no—
120C29×#95—21no—
121C29×#95—21no—
122C29×#95—21no—
123C29×#95—21no—
124C29×#95—21no—
125C29×#95D411yescharacteristic
126C29×#95D411yescharacteristic
127C24×C29—21no—
128C24×C29C2×D411yescharacteristic
129C2×Q8×C29—21no—
130C2×Q8×C29—21no—
131C2×Q8×C29—21no—
132C2×Q8×C29—21no—
133C2×Q8×C29—21no—
134C2×Q8×C29—42no—
135C2×Q8×C29—42no—
136C2×Q8×C29—81no—
137C2×Q8×C29#4112yes—
138C2×D4×C29—21no—
139C2×D4×C29—21no—
140C2×D4×C29—21no—
141C2×D4×C29—21no—
142C2×D4×C29—21no—
143C2×D4×C29—21no—
144C2×D4×C29—42no—
145C2×D4×C29—42no—
146C2×D4×C29—81no—
147C22×C4×C29—21no—
148C22×C4×C29—21no—
149C22×C4×C29—21no—
150C22×C4×C29—21no—
151C22×C4×C29—21no—
152C22×C4×C29—21no—
153C22×C4×C29—21no—
154C22×C4×C29—21no—
155C22×C4×C29—21no—
156C22×C4×C29—21no—
157C22×C4×C29—21no—
158C22×C4×C29—21no—
159C22×C4×C29—21no—
160C22×C4×C29C2×D411yescharacteristic
161C22×C4×C29C2×D411yescharacteristic
162C22×C4×C29C2×D411yescharacteristic
163C22×C4×C29C2×D411yescharacteristic
164C22×C4×C29C2×D411yescharacteristic
165C22×C4×C29C2411yescharacteristic
166SD16×C29—44no—
167M16×C29—44no—
168C2×C8×C29—21no—
169C2×C8×C29—21no—
170C2×C8×C29—21no—
171C2×C8×C29—21no—
172C2×C8×C29—21no—
173C2×C8×C29—21no—
174C2×C8×C29—21no—
175C2×C8×C29—21no—
176C2×C8×C29—21no—
177C2×C8×C29—21no—
178C2×C8×C29#4112yes—
179C2×C8×C29#4112yes—
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—21no—
187C4⋊C4×C29—21no—
188C4⋊C4×C29—21no—
189C4⋊C4×C29—21no—
190C4⋊C4×C29—21no—
191C4⋊C4×C29—42no—
192C4⋊C4×C29—42no—
193C4⋊C4×C29—42no—
194C4⋊C4×C29—42no—
195C4⋊C4×C29—81no—
196C4⋊C4×C29—81no—
197C4⋊C4×C29#4112yes—
198C22⋊C4×C29—22no—
199C22⋊C4×C29—22no—
200C22⋊C4×C29—42no—
201C22⋊C4×C29—42no—
202C22⋊C4×C29—42no—
203C22⋊C4×C29—42no—
204C22⋊C4×C29—42no—
205C22⋊C4×C29—42no—
206C22⋊C4×C29—81no—
207C22⋊C4×C29—81no—
208C42×C29—21no—
209C42×C29—21no—
210C42×C29—21no—
211C42×C29—21no—
212C42×C29—42no—
213C42×C29—42no—
214#29005C2911yesmaximal, characteristic, direct product factor, Sylow
215C23×C29—21no—
216C23×C29—21no—
217C23×C29—21no—
218C23×C29—21no—
219C23×C29—21no—
220C23×C29—21no—
221C23×C29—21no—
222C23×C29—41no—
223C23×C29—41no—
224C23×C29—41no—
225C23×C29—41no—
226C23×C29—41no—
227C23×C29—41no—
228C23×C29—41no—
229C23×C29C22×D411yescharacteristic
230Q8×C29—22no—
231Q8×C29—22no—
232Q8×C29—41no—
233Q8×C29—41no—
234Q8×C29—84no—
235D4×C29—41no—
236D4×C29—41no—
237D4×C29—41no—
238D4×C29—41no—
239D4×C29—84no—
240C2×C4×C29—21no—
241C2×C4×C29—21no—
242C2×C4×C29—21no—
243C2×C4×C29—21no—
244C2×C4×C29—21no—
245C2×C4×C29—21no—
246C2×C4×C29—21no—
247C2×C4×C29—22no—
248C2×C4×C29—21no—
249C2×C4×C29—22no—
250C2×C4×C29—21no—
251C2×C4×C29—21no—
252C2×C4×C29—21no—
253C2×C4×C29—21no—
254C2×C4×C29—21no—
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—41no—
268C2×C4×C29—41no—
269C2×C4×C29—41no—
270C2×C4×C29—41no—
271C2×C4×C29—41no—
272C2×C4×C29—41no—
273C2×C4×C29—41no—
274C2×C4×C29—41no—
275C2×C4×C29—41no—
276C2×C4×C29—41no—
277C2×C4×C29—41no—
278C2×C4×C29AGL(1,ℤ/8)12yes—
279C2×C4×C29#13712yes—
280C2×C4×C29C2×#4111yescharacteristic
281C2×C4×C29C2×#4111yescharacteristic
282C2×C4×C29C2×#4111yescharacteristic
283C2×C4×C29C2×#4111yescharacteristic
284C2×C4×C29H(5,𝔽2)11yescharacteristic
285C2×C4×C29H(5,𝔽2)11yescharacteristic
286C8×C29—22no—
287C8×C29—22no—
288C8×C29—41no—
289C8×C29—41no—
290#2491C2×C2911yescharacteristic
291#2423C2×C2911yescharacteristic, complemented
292#2077C2×C2911yescharacteristic, complemented
293#2071C2×C2911yescharacteristic, complemented
294#2024C2×C2911yescharacteristic, complemented
295#2000C2×C2911yescharacteristic
296#1990C2×C2911yescharacteristic, complemented
297#1968C2×C2911yescharacteristic, complemented
298#1936C2×C2911yescharacteristic, complemented
299#1919C2×C2911yescharacteristic, complemented
300#1895C2×C2911yescharacteristic
301#1894C2×C2911yescharacteristic, complemented
302#1880C2×C2911yescharacteristic, complemented
303#1763C2×C2911yescharacteristic, complemented
304#1753C2×C2911yescharacteristic, complemented
305C22×C29—41no—
306C22×C29—41no—
307C22×C29—41no—
308C22×C29—41no—
309C22×C29—41no—
310C22×C29—41no—
311C22×C29—41no—
312C22×C29—81no—
313C22×C29—81no—
314C22×C29—81no—
315C22×C29—81no—
316C22×C29—81no—
317C22×C29—81no—
318C22×C29—81no—
319C22×C29#53211yescharacteristic
320C22×C29#54611yescharacteristic
321C22×C29#54611yescharacteristic
322C22×C29C2×AGL(1,ℤ/8)11yescharacteristic
323C22×C29C2×#13711yescharacteristic
324C22×C29#57711yescharacteristic
325C22×C29#57711yescharacteristic
326C4×C29—22no—
327C4×C29—22no—
328C4×C29—41no—
329C4×C29—41no—
330C4×C29—42no—
331C4×C29—41no—
332C4×C29—42no—
333C4×C29—81no—
334C4×C29—81no—
335C4×C29—81no—
336C4×C29—81no—
337C4×C29—81no—
338C4×C29#52911yescharacteristic
339C4×C29#53811yescharacteristic
340C4×C29#55111yescharacteristic
341C4×C29#55911yescharacteristic
342C22×SD16C22×C2911yescharacteristic
343C22×M16C22×C2911yescharacteristic
344C2×C4⋊Q8C22×C2911yescharacteristic
345C2×#124—21no—
346C2×C22⋊Q8C22×C2911yescharacteristic
347C2×#121C22×C2911yescharacteristic
348C2×C4×Q8C22×C2911yescharacteristic
349C2×#106C22×C2911yescharacteristic
350C2×#103C22×C2911yescharacteristic
351C2×#103C22×C2911yescharacteristic
352C2×#103C22×C2911yescharacteristic
353C2×#102C22×C2911yescharacteristic
354C2×#102C22×C2911yescharacteristic
355C2×#102C22×C2911yescharacteristic
356C2×C22⋊C8C22×C2911yescharacteristic
357C2×#97C22×C2911yescharacteristic
358C2×C4×C8C22×C2911yescharacteristic
359#399—21no—
360#398—21no—
361#394—21no—
362#393—21no—
363#391C22×C2911yescharacteristic
364#390C22×C2911yescharacteristic
365#390C22×C2911yescharacteristic
366#389C22×C2911yescharacteristic
367#388—21no—
368#388—21no—
369#387—21no—
370#384C22×C2911yescharacteristic
371#380C22×C2911yescharacteristic
372#380C22×C2911yescharacteristic
373C4×C4⋊C4C22×C2911yescharacteristic
374C4×C22⋊C4C22×C2911yescharacteristic
375#340C22×C2911yescharacteristic
376#340C22×C2911yescharacteristic
377#340C22×C2911yescharacteristic
378#340C22×C2911yescharacteristic
379#340C22×C2911yescharacteristic
380#340C22×C2911yescharacteristic
381#340C22×C2911yescharacteristic
382#340C22×C2911yescharacteristic
383#336C22×C2911yescharacteristic
384#336C22×C2911yescharacteristic
385C2×C29—81no—
386C2×C29—161no—
387C2×C29#255711yescharacteristic
388C2×C29#317311yescharacteristic
389C2×C29#318211yescharacteristic
390C2×C29#331011yescharacteristic
391C2×C29#331611yescharacteristic
392C2×C29#332911yescharacteristic
393C2×C29#333211yescharacteristic
394C22×Q8—21no—
395C22×Q8C23×C2911yescharacteristic
396C22×D4—21no—
397C22×D4C23×C2911yescharacteristic
398C23×C4C23×C2911yescharacteristic
399C2×SD16—22no—
400C2×SD16—22no—
401C2×SD16—41no—
402C2×M16—22no—
403C2×M16—41no—
404C2×M16—41no—
405C22×C8C23×C2911yescharacteristic
406C22×C8C23×C2911yescharacteristic
407C22×C8C23×C2911yescharacteristic
408C22×C8C23×C2911yescharacteristic
409C4⋊Q8—22no—
410C4⋊Q8—41no—
411#124—44no—
412C22⋊Q8—22no—
413C22⋊Q8—41no—
414#121—22no—
415#121—41no—
416C4×Q8—22no—
417C4×Q8—41no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4C23×C2911yescharacteristic
425C2×C4⋊C4C23×C2911yescharacteristic
426C2×C4⋊C4C23×C2911yescharacteristic
427C2×C4⋊C4C23×C2911yescharacteristic
428C2×C4⋊C4C23×C2911yescharacteristic
429C2×C4⋊C4C23×C2911yescharacteristic
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4D4×C2911yescharacteristic
439C2×C22⋊C4D4×C2911yescharacteristic
440C2×C42—21no—
441C2×C42—21no—
442C2×C42C23×C2911yescharacteristic
443C2×C42C23×C2911yescharacteristic
444#106—22no—
445#103—22no—
446#103—22no—
447#103—41no—
448#102—22no—
449#102—41no—
450#102—41no—
451C22⋊C8—22no—
452#97—41no—
453C4×C8—41no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95D4×C2911yescharacteristic
461#95D4×C2911yescharacteristic
462C29#2900511yescharacteristic, direct product factor, Sylow
463C24—21no—
464C24C2×D4×C2911yescharacteristic
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×Q8—81no—
473C2×Q8#41×C2912yes—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—42no—
481C2×D4—42no—
482C2×D4—81no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4C2×D4×C2911yescharacteristic
497C22×C4C2×D4×C2911yescharacteristic
498C22×C4C2×D4×C2911yescharacteristic
499C22×C4C2×D4×C2911yescharacteristic
500C22×C4C2×D4×C2911yescharacteristic
501C22×C4C24×C2911yescharacteristic
502SD16—44no—
503M16—44no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8#41×C2912yes—
515C2×C8#41×C2912yes—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4—42no—
530C4⋊C4—42no—
531C4⋊C4—81no—
532C4⋊C4—81no—
533C4⋊C4#41×C2912yes—
534C22⋊C4—22no—
535C22⋊C4—22no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—81no—
543C22⋊C4—81no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—42no—
549C42—42no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23C22×D4×C2911yescharacteristic
565Q8—22no—
566Q8—22no—
567Q8—41no—
568Q8—41no—
569Q8—84no—
570D4—41no—
571D4—41no—
572D4—41no—
573D4—41no—
574D4—84no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—22no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4C29×AGL(1,ℤ/8)12yes—
614C2×C4C29×#13712yes—
615C2×C4C2×#41×C2911yescharacteristic
616C2×C4C2×#41×C2911yescharacteristic
617C2×C4C2×#41×C2911yescharacteristic
618C2×C4C2×#41×C2911yescharacteristic
619C2×C4C29×H(5,𝔽2)11yescharacteristic
620C2×C4C29×H(5,𝔽2)11yescharacteristic
621C8—22no—
622C8—22no—
623C8—41no—
624C8—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22C29×#53211yescharacteristic
640C22C29×#54611yescharacteristic
641C22C29×#54611yescharacteristic
642C22C2×C29×AGL(1,ℤ/8)11yescharacteristic
643C22C2×C29×#13711yescharacteristic
644C22C29×#57711yescharacteristic
645C22C29×#57711yescharacteristic
646C4—22no—
647C4—22no—
648C4—42no—
649C4—41no—
650C4—42no—
651C4—41no—
652C4—41no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4C29×#52911yescharacteristic
659C4C29×#53811yescharacteristic
660C4C29×#55111yescharacteristic
661C4C29×#55911yescharacteristic
662C2—81no—
663C2—161no—
664C2C29×#255711yescharacteristic
665C2C29×#317311yescharacteristic
666C2C29×#318211yescharacteristic
667C2C29×#331011yescharacteristic
668C2C29×#331611yescharacteristic
669C2C29×#332911yescharacteristic
670C2C29×#333211yescharacteristic
subgroupG/H
center, socleC23×C29C22×D4
commutator, Frattini, cosocleC22×C4C24×C29
prime radicalC2×C29×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C29 ◁ C4×C22⋊C4×C29 ◁ G

Complements

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

NH ≅ G/Ntype
2. C29×#2423C2semidirect
3. C29×#2077C2semidirect
4. C29×#2071C2semidirect
5. C29×#2024C2semidirect
7. C29×#1990C2semidirect
8. C29×#1968C2semidirect
9. C29×#1936C2semidirect
10. C29×#1919C2semidirect
12. C29×#1894C2semidirect
13. C29×#1880C2semidirect
14. C29×#1763C2semidirect
15. C29×#1753C2semidirect
214. #29005C29direct (N × H)
291. #2423C2×C29semidirect
292. #2077C2×C29semidirect
293. #2071C2×C29semidirect
294. #2024C2×C29semidirect
296. #1990C2×C29semidirect
297. #1968C2×C29semidirect
298. #1936C2×C29semidirect
299. #1919C2×C29semidirect
301. #1894C2×C29semidirect
302. #1880C2×C29semidirect
303. #1763C2×C29semidirect
304. #1753C2×C29semidirect
462. C29#29005direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#24912
C29×#24232
C29×#20772
C29×#20712
C29×#20242
C29×#20002
C29×#19902
C29×#19682
C29×#19362
C29×#19192
C29×#18952
C29×#18942
C29×#18802
C29×#17632
C29×#17532
#2900529