Finite Group Databasebeta

← C29×#28888 #20323788

Subgroups — C29×#28888 #20323788

Order 7424.

758 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#2512C211yesmaximal, characteristic, complemented
2C29×#2448C211yesmaximal, characteristic, complemented
3C29×#2084C211yesmaximal, characteristic, complemented
4C29×#2066C211yesmaximal, characteristic, complemented
5C29×#2054C211yesmaximal, characteristic
6C29×#2012C211yesmaximal, characteristic
7C29×#1972C211yesmaximal, characteristic
8C29×#1968C211yesmaximal, characteristic, complemented
9C29×#1959C211yesmaximal, characteristic, complemented
10C29×#1936C211yesmaximal, characteristic, complemented
11C29×#1934C211yesmaximal, characteristic, complemented
12C29×#1926C211yesmaximal, characteristic, complemented
13C29×#1880C211yesmaximal, characteristic, complemented
14C29×#1770C211yesmaximal, characteristic, complemented
15C29×#1763C211yesmaximal, characteristic, complemented
16C22×SD16×C29C2211yescharacteristic
17C22×D8×C29C2211yescharacteristic
18C2×C29×#126—21no—
19C2×C29×#124C2211yescharacteristic
20C2×C4×Q8×C29C2211yescharacteristic
21C2×C29×#106C2211yescharacteristic
22C2×C29×#106C2211yescharacteristic
23C2×C29×C4⋊C8C2211yescharacteristic
24C2×C29×#103C2211yescharacteristic
25C2×C29×#103C2211yescharacteristic
26C2×C29×#103C2211yescharacteristic
27C2×C29×#102C2211yescharacteristic
28C2×C29×#102C2211yescharacteristic
29C2×C29×#102C2211yescharacteristic
30C2×C29×#102C2211yescharacteristic
31C2×C29×#102C2211yescharacteristic
32C2×C29×#97C2211yescharacteristic
33C2×C29×#97C2211yescharacteristic
34C2×C4×C8×C29C2211yescharacteristic
35C29×#399—21no—
36C29×#397—21no—
37C29×#397—21no—
38C29×#396—21no—
39C29×#391C2211yescharacteristic
40C29×#390C2211yescharacteristic
41C29×#390C2211yescharacteristic
42C29×#390C2211yescharacteristic
43C29×#390C2211yescharacteristic
44C29×#390C2211yescharacteristic
45C29×#389C2211yescharacteristic
46C29×#389C2211yescharacteristic
47C29×#388—21no—
48C29×#388—21no—
49C29×#388—21no—
50C29×#384C2211yescharacteristic
51C4×C4⋊C4×C29C2211yescharacteristic
52C4×C4⋊C4×C29C2211yescharacteristic
53C29×#340C2211yescharacteristic
54C29×#340C2211yescharacteristic
55C29×#340C2211yescharacteristic
56C29×#340C2211yescharacteristic
57C29×#336C2211yescharacteristic
58C29×#336C2211yescharacteristic
59C22×Q8×C29C2311yescharacteristic
60C22×D4×C29C2311yescharacteristic
61C22×D4×C29C2311yescharacteristic
62C2×SD16×C29—22no—
63C2×SD16×C29—22no—
64C2×SD16×C29—41no—
65C2×D8×C29—22no—
66C2×D8×C29—41no—
67C2×D8×C29—41no—
68C22×C8×C29C2311yescharacteristic
69C22×C8×C29C2311yescharacteristic
70C22×C8×C29C2311yescharacteristic
71C22×C8×C29C2311yescharacteristic
72C29×#126—44no—
73C29×#124—22no—
74C29×#124—41no—
75C4×Q8×C29—22no—
76C4×Q8×C29—41no—
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×C29D411yescharacteristic
83C2×C4⋊C4×C29D411yescharacteristic
84C2×C4⋊C4×C29C2311yescharacteristic
85C2×C4⋊C4×C29C2311yescharacteristic
86C2×C4⋊C4×C29C2311yescharacteristic
87C2×C4⋊C4×C29C2311yescharacteristic
88C2×C4⋊C4×C29C2311yescharacteristic
89C2×C22⋊C4×C29—21no—
90C2×C22⋊C4×C29—21no—
91C2×C22⋊C4×C29—21no—
92C2×C22⋊C4×C29—21no—
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×C29—21no—
101C2×C42×C29—21no—
102C2×C42×C29—21no—
103C2×C42×C29C2311yescharacteristic
104C2×C42×C29C2311yescharacteristic
105C2×C42×C29C2311yescharacteristic
106C29×#106—41no—
107C29×#106—41no—
108C29×C4⋊C8—22no—
109C29×#103—22no—
110C29×#103—22no—
111C29×#103—41no—
112C29×#102—22no—
113C29×#102—22no—
114C29×#102—22no—
115C29×#102—41no—
116C29×#102—41no—
117C29×#97—41no—
118C29×#97—41no—
119C4×C8×C29—22no—
120C29×#95—21no—
121C29×#95—21no—
122C29×#95—21no—
123C29×#95—21no—
124C29×#95—21no—
125C29×#95D411yescharacteristic
126C29×#95D411yescharacteristic
127C24×C29—21no—
128C24×C29—21no—
129C2×Q8×C29—21no—
130C2×Q8×C29—21no—
131C2×Q8×C29—21no—
132C2×Q8×C29—21no—
133C2×Q8×C29—21no—
134C2×Q8×C29#4112yes—
135C2×D4×C29—21no—
136C2×D4×C29—21no—
137C2×D4×C29—21no—
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—21no—
145C2×D4×C29—21no—
146C2×D4×C29—21no—
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×C29C2×D411yescharacteristic
154C22×C4×C29C2×D411yescharacteristic
155C22×C4×C29C2×D411yescharacteristic
156C22×C4×C29C2×D411yescharacteristic
157C22×C4×C29C2×D411yescharacteristic
158C22×C4×C29C2×D411yescharacteristic
159C22×C4×C29C2411yescharacteristic
160SD16×C29—44no—
161D8×C29—44no—
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×C29—21no—
170C2×C8×C29—21no—
171C2×C8×C29#4112yes—
172C2×C8×C29#4112yes—
173C2×C8×C29#4112yes—
174C4⋊C4×C29—22no—
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—41no—
186C4⋊C4×C29—42no—
187C4⋊C4×C29—42no—
188C4⋊C4×C29—42no—
189C4⋊C4×C29—81no—
190C4⋊C4×C29—81no—
191C22⋊C4×C29—42no—
192C22⋊C4×C29—42no—
193C22⋊C4×C29—42no—
194C22⋊C4×C29—42no—
195C22⋊C4×C29—42no—
196C22⋊C4×C29—42no—
197C22⋊C4×C29—42no—
198C22⋊C4×C29—42no—
199C22⋊C4×C29—81no—
200C22⋊C4×C29—81no—
201C22⋊C4×C29—81no—
202C22⋊C4×C29—81no—
203C42×C29—21no—
204C42×C29—21no—
205C42×C29—21no—
206C42×C29—21no—
207C42×C29—21no—
208C42×C29—21no—
209C42×C29—42no—
210C42×C29—42no—
211#28888C2911yesmaximal, characteristic, direct product factor, Sylow
212C23×C29—41no—
213C23×C29—41no—
214C23×C29—41no—
215C23×C29—41no—
216C23×C29—41no—
217C23×C29—41no—
218C23×C29—41no—
219C23×C29—41no—
220C23×C29—41no—
221C23×C29—41no—
222C23×C29—41no—
223C23×C29—41no—
224C23×C29—41no—
225C23×C29—41no—
226C23×C29C22×D411yescharacteristic
227Q8×C29—22no—
228Q8×C29—22no—
229Q8×C29—41no—
230Q8×C29—41no—
231D4×C29—41no—
232D4×C29—41no—
233D4×C29—41no—
234D4×C29—41no—
235D4×C29—41no—
236D4×C29—41no—
237D4×C29—41no—
238D4×C29—41no—
239C2×C4×C29—21no—
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—22no—
247C2×C4×C29—21no—
248C2×C4×C29—21no—
249C2×C4×C29—21no—
250C2×C4×C29—21no—
251C2×C4×C29—21no—
252C2×C4×C29—21no—
253C2×C4×C29—21no—
254C2×C4×C29—21no—
255C2×C4×C29—21no—
256C2×C4×C29—21no—
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×C29AGL(1,ℤ/8)12yes—
275C2×C4×C29C2×#4111yescharacteristic
276C2×C4×C29C2×#4111yescharacteristic
277C2×C4×C29C2×#4111yescharacteristic
278C2×C4×C29C2×#4111yescharacteristic
279C2×C4×C29H(5,𝔽2)11yescharacteristic
280C2×C4×C29H(5,𝔽2)11yescharacteristic
281C8×C29—22no—
282C8×C29—22no—
283C8×C29—22no—
284C8×C29—41no—
285#2512C2×C2911yescharacteristic, complemented
286#2448C2×C2911yescharacteristic, complemented
287#2084C2×C2911yescharacteristic, complemented
288#2066C2×C2911yescharacteristic, complemented
289#2054C2×C2911yescharacteristic
290#2012C2×C2911yescharacteristic
291#1972C2×C2911yescharacteristic
292#1968C2×C2911yescharacteristic, complemented
293#1959C2×C2911yescharacteristic, complemented
294#1936C2×C2911yescharacteristic, complemented
295#1934C2×C2911yescharacteristic, complemented
296#1926C2×C2911yescharacteristic, complemented
297#1880C2×C2911yescharacteristic, complemented
298#1770C2×C2911yescharacteristic, complemented
299#1763C2×C2911yescharacteristic, complemented
300C22×C29—81no—
301C22×C29—81no—
302C22×C29—81no—
303C22×C29—81no—
304C22×C29—81no—
305C22×C29—81no—
306C22×C29—81no—
307C22×C29—81no—
308C22×C29—81no—
309C22×C29—81no—
310C22×C29—81no—
311C22×C29—81no—
312C22×C29—81no—
313C22×C29—81no—
314C22×C29#53211yescharacteristic
315C22×C29#54611yescharacteristic
316C22×C29#55011yescharacteristic
317C22×C29C2×AGL(1,ℤ/8)11yescharacteristic
318C22×C29#57511yescharacteristic
319C22×C29#57711yescharacteristic
320C22×C29#57711yescharacteristic
321C4×C29—22no—
322C4×C29—41no—
323C4×C29—41no—
324C4×C29—41no—
325C4×C29—42no—
326C4×C29—41no—
327C4×C29—41no—
328C4×C29—81no—
329C4×C29—81no—
330C4×C29—81no—
331C4×C29—81no—
332C4×C29—81no—
333C4×C29#52911yescharacteristic
334C4×C29#53811yescharacteristic
335C4×C29#55111yescharacteristic
336C4×C29#55311yescharacteristic
337C22×SD16C22×C2911yescharacteristic
338C22×D8C22×C2911yescharacteristic
339C2×#126—21no—
340C2×#124C22×C2911yescharacteristic
341C2×C4×Q8C22×C2911yescharacteristic
342C2×#106C22×C2911yescharacteristic
343C2×#106C22×C2911yescharacteristic
344C2×C4⋊C8C22×C2911yescharacteristic
345C2×#103C22×C2911yescharacteristic
346C2×#103C22×C2911yescharacteristic
347C2×#103C22×C2911yescharacteristic
348C2×#102C22×C2911yescharacteristic
349C2×#102C22×C2911yescharacteristic
350C2×#102C22×C2911yescharacteristic
351C2×#102C22×C2911yescharacteristic
352C2×#102C22×C2911yescharacteristic
353C2×#97C22×C2911yescharacteristic
354C2×#97C22×C2911yescharacteristic
355C2×C4×C8C22×C2911yescharacteristic
356#399—21no—
357#397—21no—
358#397—21no—
359#396—21no—
360#391C22×C2911yescharacteristic
361#390C22×C2911yescharacteristic
362#390C22×C2911yescharacteristic
363#390C22×C2911yescharacteristic
364#390C22×C2911yescharacteristic
365#390C22×C2911yescharacteristic
366#389C22×C2911yescharacteristic
367#389C22×C2911yescharacteristic
368#388—21no—
369#388—21no—
370#388—21no—
371#384C22×C2911yescharacteristic
372C4×C4⋊C4C22×C2911yescharacteristic
373C4×C4⋊C4C22×C2911yescharacteristic
374#340C22×C2911yescharacteristic
375#340C22×C2911yescharacteristic
376#340C22×C2911yescharacteristic
377#340C22×C2911yescharacteristic
378#336C22×C2911yescharacteristic
379#336C22×C2911yescharacteristic
380C2×C29—161no—
381C2×C29—161no—
382C2×C29#255411yescharacteristic
383C2×C29#317311yescharacteristic
384C2×C29#318011yescharacteristic
385C2×C29#332611yescharacteristic
386C2×C29#333211yescharacteristic
387C2×C29#339711yescharacteristic
388C2×C29#340111yescharacteristic
389C22×Q8C23×C2911yescharacteristic
390C22×D4C23×C2911yescharacteristic
391C22×D4C23×C2911yescharacteristic
392C2×SD16—22no—
393C2×SD16—22no—
394C2×SD16—41no—
395C2×D8—22no—
396C2×D8—41no—
397C2×D8—41no—
398C22×C8C23×C2911yescharacteristic
399C22×C8C23×C2911yescharacteristic
400C22×C8C23×C2911yescharacteristic
401C22×C8C23×C2911yescharacteristic
402#126—44no—
403#124—22no—
404#124—41no—
405C4×Q8—22no—
406C4×Q8—41no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4D4×C2911yescharacteristic
413C2×C4⋊C4D4×C2911yescharacteristic
414C2×C4⋊C4C23×C2911yescharacteristic
415C2×C4⋊C4C23×C2911yescharacteristic
416C2×C4⋊C4C23×C2911yescharacteristic
417C2×C4⋊C4C23×C2911yescharacteristic
418C2×C4⋊C4C23×C2911yescharacteristic
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⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C42—21no—
432C2×C42—21no—
433C2×C42C23×C2911yescharacteristic
434C2×C42C23×C2911yescharacteristic
435C2×C42C23×C2911yescharacteristic
436#106—41no—
437#106—41no—
438C4⋊C8—22no—
439#103—22no—
440#103—22no—
441#103—41no—
442#102—22no—
443#102—22no—
444#102—22no—
445#102—41no—
446#102—41no—
447#97—41no—
448#97—41no—
449C4×C8—22no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95D4×C2911yescharacteristic
456#95D4×C2911yescharacteristic
457C29#2888811yescharacteristic, direct product factor, Sylow
458C24—21no—
459C24—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8#41×C2912yes—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4C2×D4×C2911yescharacteristic
485C22×C4C2×D4×C2911yescharacteristic
486C22×C4C2×D4×C2911yescharacteristic
487C22×C4C2×D4×C2911yescharacteristic
488C22×C4C2×D4×C2911yescharacteristic
489C22×C4C2×D4×C2911yescharacteristic
490C22×C4C24×C2911yescharacteristic
491SD16—44no—
492D8—44no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8#41×C2912yes—
503C2×C8#41×C2912yes—
504C2×C8#41×C2912yes—
505C4⋊C4—22no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—41no—
517C4⋊C4—42no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—81no—
521C4⋊C4—81no—
522C22⋊C4—42no—
523C22⋊C4—42no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—42no—
530C22⋊C4—81no—
531C22⋊C4—81no—
532C22⋊C4—81no—
533C22⋊C4—81no—
534C42—21no—
535C42—21no—
536C42—21no—
537C42—21no—
538C42—21no—
539C42—21no—
540C42—42no—
541C42—42no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23C22×D4×C2911yescharacteristic
557Q8—22no—
558Q8—22no—
559Q8—41no—
560Q8—41no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—41no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—22no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
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×C4C29×AGL(1,ℤ/8)12yes—
605C2×C4C2×#41×C2911yescharacteristic
606C2×C4C2×#41×C2911yescharacteristic
607C2×C4C2×#41×C2911yescharacteristic
608C2×C4C2×#41×C2911yescharacteristic
609C2×C4C29×H(5,𝔽2)11yescharacteristic
610C2×C4C29×H(5,𝔽2)11yescharacteristic
611C8—22no—
612C8—22no—
613C8—22no—
614C8—41no—
615C22—81no—
616C22—81no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22C29×#53211yescharacteristic
630C22C29×#54611yescharacteristic
631C22C29×#55011yescharacteristic
632C22C2×C29×AGL(1,ℤ/8)11yescharacteristic
633C22C29×#57511yescharacteristic
634C22C29×#57711yescharacteristic
635C22C29×#57711yescharacteristic
636C4—22no—
637C4—42no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—41no—
642C4—41no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4C29×#52911yescharacteristic
649C4C29×#53811yescharacteristic
650C4C29×#55111yescharacteristic
651C4C29×#55311yescharacteristic
652C2—161no—
653C2—161no—
654C2C29×#255411yescharacteristic
655C2C29×#317311yescharacteristic
656C2C29×#318011yescharacteristic
657C2C29×#332611yescharacteristic
658C2C29×#333211yescharacteristic
659C2C29×#339711yescharacteristic
660C2C29×#340111yescharacteristic
subgroupG/H
center, socleC23×C29C22×D4
commutator, Frattini, cosocleC22×C4C24×C29
prime radicalC22×D8×C29C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C29 ◁ C4×C4⋊C4×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#2512C2semidirect
2. C29×#2448C2semidirect
3. C29×#2084C2semidirect
4. C29×#2066C2semidirect
8. C29×#1968C2semidirect
9. C29×#1959C2semidirect
10. C29×#1936C2semidirect
11. C29×#1934C2semidirect
12. C29×#1926C2semidirect
13. C29×#1880C2semidirect
14. C29×#1770C2semidirect
15. C29×#1763C2semidirect
211. #28888C29direct (N × H)
285. #2512C2×C29semidirect
286. #2448C2×C29semidirect
287. #2084C2×C29semidirect
288. #2066C2×C29semidirect
292. #1968C2×C29semidirect
293. #1959C2×C29semidirect
294. #1936C2×C29semidirect
295. #1934C2×C29semidirect
296. #1926C2×C29semidirect
297. #1880C2×C29semidirect
298. #1770C2×C29semidirect
299. #1763C2×C29semidirect
457. C29#28888direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#25122
C29×#24482
C29×#20842
C29×#20662
C29×#20542
C29×#20122
C29×#19722
C29×#19682
C29×#19592
C29×#19362
C29×#19342
C29×#19262
C29×#18802
C29×#17702
C29×#17632
#2888829