Finite Group Databasebeta

← C29×#28980 #20323880

Subgroups — C29×#28980 #20323880

Order 7424.

782 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×#2489C211yesmaximal, characteristic, complemented
2C29×#2420C211yesmaximal, characteristic
3C29×#2077C211yesmaximal, characteristic, complemented
4C29×#2074C211yesmaximal, characteristic, complemented
5C29×#2025C211yesmaximal, characteristic, complemented
6C29×#2000C211yesmaximal, characteristic
7C29×#1991C211yesmaximal, characteristic, complemented
8C29×#1968C211yesmaximal, characteristic, complemented
9C29×#1933C211yesmaximal, characteristic, complemented
10C29×#1920C211yesmaximal, characteristic, complemented
11C29×#1893C211yesmaximal, characteristic
12C29×#1892C211yesmaximal, characteristic, complemented
13C29×#1877C211yesmaximal, characteristic, complemented
14C4×C29×#102C211yesmaximal, characteristic, complemented
15C8×C22⋊C4×C29C211yesmaximal, characteristic, complemented
16C22×SD16×C29C2211yescharacteristic
17C23×C8×C29C2211yescharacteristic
18C2×C29×#125C2211yescharacteristic
19C2×C29×C22⋊Q8C2211yescharacteristic
20C2×C29×#121C2211yescharacteristic
21C2×C4×D4×C29C2211yescharacteristic
22C2×C29×#106C2211yescharacteristic
23C2×C29×#103C2211yescharacteristic
24C2×C29×#103C2211yescharacteristic
25C2×C29×#103C2211yescharacteristic
26C2×C29×#102C2211yescharacteristic
27C2×C29×#102C2211yescharacteristic
28C2×C29×#102C2211yescharacteristic
29C2×C29×C22⋊C8C2211yescharacteristic
30C2×C4×C8×C29C2211yescharacteristic
31C2×C4×C8×C29C2211yescharacteristic
32C29×#400—21no—
33C29×#397—21no—
34C29×#397—21no—
35C29×#394—21no—
36C29×#391C2211yescharacteristic
37C29×#391C2211yescharacteristic
38C29×#390C2211yescharacteristic
39C29×#389C2211yescharacteristic
40C29×#388—21no—
41C29×#386—21no—
42C29×#382—21no—
43C29×#382C2211yescharacteristic
44C29×#381—21no—
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×C29C2311yescharacteristic
60C22×D4×C29—21no—
61C22×D4×C29C2311yescharacteristic
62C23×C4×C29—21no—
63C23×C4×C29C2311yescharacteristic
64C2×SD16×C29—22no—
65C2×SD16×C29—22no—
66C2×SD16×C29—41no—
67C22×C8×C29—22no—
68C22×C8×C29—41no—
69C22×C8×C29—41no—
70C22×C8×C29C2311yescharacteristic
71C22×C8×C29C2311yescharacteristic
72C22×C8×C29C2311yescharacteristic
73C22×C8×C29C2311yescharacteristic
74C29×#125—22no—
75C29×#125—41no—
76C29×C22⋊Q8—22no—
77C29×C22⋊Q8—41no—
78C29×#121—22no—
79C29×#121—41no—
80C4×D4×C29—22no—
81C4×D4×C29—41no—
82C2×C4⋊C4×C29—21no—
83C2×C4⋊C4×C29—21no—
84C2×C4⋊C4×C29—21no—
85C2×C4⋊C4×C29—21no—
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×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×C29D411yescharacteristic
100C2×C22⋊C4×C29D411yescharacteristic
101C2×C42×C29—21no—
102C2×C42×C29C2311yescharacteristic
103C2×C42×C29C2311yescharacteristic
104C29×#106—22no—
105C29×#103—22no—
106C29×#103—41no—
107C29×#103—41no—
108C29×#102—22no—
109C29×#102—22no—
110C29×#102—41no—
111C29×C22⋊C8—22no—
112C4×C8×C29—41no—
113C4×C8×C29—41no—
114C29×#95—21no—
115C29×#95—21no—
116C29×#95—21no—
117C29×#95—21no—
118C29×#95—21no—
119C29×#95—21no—
120C29×#95—21no—
121C29×#95—21no—
122C29×#95—21no—
123C29×#95—21no—
124C29×#95D411yescharacteristic
125C29×#95D411yescharacteristic
126C24×C29—21no—
127C24×C29C2×D411yescharacteristic
128C2×Q8×C29—21no—
129C2×Q8×C29—21no—
130C2×Q8×C29—21no—
131C2×Q8×C29—21no—
132C2×Q8×C29—21no—
133C2×Q8×C29—21no—
134C2×D4×C29—21no—
135C2×D4×C29—21no—
136C2×D4×C29—21no—
137C2×D4×C29—21no—
138C2×D4×C29—21no—
139C2×D4×C29—42no—
140C2×D4×C29—42no—
141C2×D4×C29—81no—
142C2×D4×C29#4112yes—
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—21no—
151C22×C4×C29—21no—
152C22×C4×C29—21no—
153C22×C4×C29—21no—
154C22×C4×C29—21no—
155C22×C4×C29—21no—
156C22×C4×C29—42no—
157C22×C4×C29—42no—
158C22×C4×C29—81no—
159C22×C4×C29C2×D411yescharacteristic
160C22×C4×C29C2×D411yescharacteristic
161C22×C4×C29C2×D411yescharacteristic
162C22×C4×C29C2×D411yescharacteristic
163C22×C4×C29C2×D411yescharacteristic
164C22×C4×C29C2411yescharacteristic
165SD16×C29—44no—
166C2×C8×C29—21no—
167C2×C8×C29—21no—
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—44no—
177C2×C8×C29#4112yes—
178C2×C8×C29#4112yes—
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—21no—
187C4⋊C4×C29—21no—
188C4⋊C4×C29—21no—
189C4⋊C4×C29—21no—
190C4⋊C4×C29—42no—
191C4⋊C4×C29—42no—
192C4⋊C4×C29—42no—
193C4⋊C4×C29—81no—
194C4⋊C4×C29#4112yes—
195C22⋊C4×C29—22no—
196C22⋊C4×C29—22no—
197C22⋊C4×C29—42no—
198C22⋊C4×C29—42no—
199C22⋊C4×C29—42no—
200C22⋊C4×C29—42no—
201C22⋊C4×C29—81no—
202C22⋊C4×C29—81no—
203C22⋊C4×C29—81no—
204C42×C29—21no—
205C42×C29—21no—
206C42×C29—21no—
207C42×C29—21no—
208C42×C29—42no—
209#28980C2911yesmaximal, characteristic, direct product factor, Sylow
210C23×C29—21no—
211C23×C29—21no—
212C23×C29—21no—
213C23×C29—21no—
214C23×C29—21no—
215C23×C29—21no—
216C23×C29—22no—
217C23×C29—41no—
218C23×C29—41no—
219C23×C29—41no—
220C23×C29—41no—
221C23×C29—41no—
222C23×C29—41no—
223C23×C29#13512yes—
224C23×C29C22×D411yescharacteristic
225Q8×C29—41no—
226Q8×C29—41no—
227Q8×C29—41no—
228Q8×C29—41no—
229D4×C29—22no—
230D4×C29—22no—
231D4×C29—41no—
232D4×C29—41no—
233D4×C29—84no—
234C2×C4×C29—21no—
235C2×C4×C29—21no—
236C2×C4×C29—21no—
237C2×C4×C29—21no—
238C2×C4×C29—21no—
239C2×C4×C29—21no—
240C2×C4×C29—21no—
241C2×C4×C29—22no—
242C2×C4×C29—21no—
243C2×C4×C29—21no—
244C2×C4×C29—21no—
245C2×C4×C29—21no—
246C2×C4×C29—21no—
247C2×C4×C29—21no—
248C2×C4×C29—21no—
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—41no—
268C2×C4×C29—41no—
269C2×C4×C29—41no—
270C2×C4×C29—41no—
271C2×C4×C29—41no—
272C2×C4×C29—41no—
273C2×C4×C29—84no—
274C2×C4×C29#13512yes—
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—41no—
284C8×C29—41no—
285#2489C2×C2911yescharacteristic, complemented
286#2420C2×C2911yescharacteristic
287#2077C2×C2911yescharacteristic, complemented
288#2074C2×C2911yescharacteristic, complemented
289#2025C2×C2911yescharacteristic, complemented
290#2000C2×C2911yescharacteristic
291#1991C2×C2911yescharacteristic, complemented
292#1968C2×C2911yescharacteristic, complemented
293#1933C2×C2911yescharacteristic, complemented
294#1920C2×C2911yescharacteristic, complemented
295#1893C2×C2911yescharacteristic
296#1892C2×C2911yescharacteristic, complemented
297#1877C2×C2911yescharacteristic, complemented
298C4×#102C2×C2911yescharacteristic, complemented
299C8×C22⋊C4C2×C2911yescharacteristic, complemented
300C22×C29—22no—
301C22×C29—22no—
302C22×C29—22no—
303C22×C29—41no—
304C22×C29—41no—
305C22×C29—41no—
306C22×C29—41no—
307C22×C29—42no—
308C22×C29—42no—
309C22×C29—42no—
310C22×C29—81no—
311C22×C29—81no—
312C22×C29—81no—
313C22×C29—81no—
314C22×C29#53211yescharacteristic
315C22×C29#54611yescharacteristic
316C22×C29#54611yescharacteristic
317C22×C29C2×#13511yescharacteristic
318C22×C29C2×#13511yescharacteristic
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—81no—
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#55911yescharacteristic
337C22×SD16C22×C2911yescharacteristic
338C23×C8C22×C2911yescharacteristic
339C2×#125C22×C2911yescharacteristic
340C2×C22⋊Q8C22×C2911yescharacteristic
341C2×#121C22×C2911yescharacteristic
342C2×C4×D4C22×C2911yescharacteristic
343C2×#106C22×C2911yescharacteristic
344C2×#103C22×C2911yescharacteristic
345C2×#103C22×C2911yescharacteristic
346C2×#103C22×C2911yescharacteristic
347C2×#102C22×C2911yescharacteristic
348C2×#102C22×C2911yescharacteristic
349C2×#102C22×C2911yescharacteristic
350C2×C22⋊C8C22×C2911yescharacteristic
351C2×C4×C8C22×C2911yescharacteristic
352C2×C4×C8C22×C2911yescharacteristic
353#400—21no—
354#397—21no—
355#397—21no—
356#394—21no—
357#391C22×C2911yescharacteristic
358#391C22×C2911yescharacteristic
359#390C22×C2911yescharacteristic
360#389C22×C2911yescharacteristic
361#388—21no—
362#386—21no—
363#382—21no—
364#382C22×C2911yescharacteristic
365#381—21no—
366#380C22×C2911yescharacteristic
367#380C22×C2911yescharacteristic
368C4×C4⋊C4C22×C2911yescharacteristic
369C4×C22⋊C4C22×C2911yescharacteristic
370#340C22×C2911yescharacteristic
371#340C22×C2911yescharacteristic
372#340C22×C2911yescharacteristic
373#340C22×C2911yescharacteristic
374#340C22×C2911yescharacteristic
375#340C22×C2911yescharacteristic
376#340C22×C2911yescharacteristic
377#340C22×C2911yescharacteristic
378#336C22×C2911yescharacteristic
379#336C22×C2911yescharacteristic
380C2×C29—42no—
381C2×C29—82no—
382C2×C29#255711yescharacteristic
383C2×C29#316811yescharacteristic
384C2×C29#317411yescharacteristic
385C2×C29#329611yescharacteristic
386C2×C29#329611yescharacteristic
387C2×C29#330111yescharacteristic
388C2×C29#330311yescharacteristic
389C22×Q8C23×C2911yescharacteristic
390C22×D4—21no—
391C22×D4C23×C2911yescharacteristic
392C23×C4—21no—
393C23×C4C23×C2911yescharacteristic
394C2×SD16—22no—
395C2×SD16—22no—
396C2×SD16—41no—
397C22×C8—22no—
398C22×C8—41no—
399C22×C8—41no—
400C22×C8C23×C2911yescharacteristic
401C22×C8C23×C2911yescharacteristic
402C22×C8C23×C2911yescharacteristic
403C22×C8C23×C2911yescharacteristic
404#125—22no—
405#125—41no—
406C22⋊Q8—22no—
407C22⋊Q8—41no—
408#121—22no—
409#121—41no—
410C4×D4—22no—
411C4×D4—41no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4C23×C2911yescharacteristic
417C2×C4⋊C4C23×C2911yescharacteristic
418C2×C4⋊C4C23×C2911yescharacteristic
419C2×C4⋊C4C23×C2911yescharacteristic
420C2×C4⋊C4C23×C2911yescharacteristic
421C2×C4⋊C4C23×C2911yescharacteristic
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⋊C4D4×C2911yescharacteristic
430C2×C22⋊C4D4×C2911yescharacteristic
431C2×C42—21no—
432C2×C42C23×C2911yescharacteristic
433C2×C42C23×C2911yescharacteristic
434#106—22no—
435#103—22no—
436#103—41no—
437#103—41no—
438#102—22no—
439#102—22no—
440#102—41no—
441C22⋊C8—22no—
442C4×C8—41no—
443C4×C8—41no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95D4×C2911yescharacteristic
455#95D4×C2911yescharacteristic
456C29#2898011yescharacteristic, direct product factor, Sylow
457C24—21no—
458C24C2×D4×C2911yescharacteristic
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—42no—
471C2×D4—42no—
472C2×D4—81no—
473C2×D4#41×C2912yes—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—81no—
490C22×C4C2×D4×C2911yescharacteristic
491C22×C4C2×D4×C2911yescharacteristic
492C22×C4C2×D4×C2911yescharacteristic
493C22×C4C2×D4×C2911yescharacteristic
494C22×C4C2×D4×C2911yescharacteristic
495C22×C4C24×C2911yescharacteristic
496SD16—44no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—44no—
508C2×C8#41×C2912yes—
509C2×C8#41×C2912yes—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4—42no—
524C4⋊C4—81no—
525C4⋊C4#41×C2912yes—
526C22⋊C4—22no—
527C22⋊C4—22no—
528C22⋊C4—42no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—81no—
533C22⋊C4—81no—
534C22⋊C4—81no—
535C42—21no—
536C42—21no—
537C42—21no—
538C42—21no—
539C42—42no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—22no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23C29×#13512yes—
554C23C22×D4×C2911yescharacteristic
555Q8—41no—
556Q8—41no—
557Q8—41no—
558Q8—41no—
559D4—22no—
560D4—22no—
561D4—41no—
562D4—41no—
563D4—84no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—22no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
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—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—84no—
604C2×C4C29×#13512yes—
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—41no—
614C8—41no—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—42no—
623C22—42no—
624C22—42no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22C29×#53211yescharacteristic
630C22C29×#54611yescharacteristic
631C22C29×#54611yescharacteristic
632C22C2×C29×#13511yescharacteristic
633C22C2×C29×#13511yescharacteristic
634C22C29×#57711yescharacteristic
635C22C29×#57711yescharacteristic
636C4—22no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—42no—
641C4—41no—
642C4—81no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4C29×#52911yescharacteristic
649C4C29×#53811yescharacteristic
650C4C29×#55111yescharacteristic
651C4C29×#55911yescharacteristic
652C2—42no—
653C2—82no—
654C2C29×#255711yescharacteristic
655C2C29×#316811yescharacteristic
656C2C29×#317411yescharacteristic
657C2C29×#329611yescharacteristic
658C2C29×#329611yescharacteristic
659C2C29×#330111yescharacteristic
660C2C29×#330311yescharacteristic
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
1. C29×#2489C2semidirect
3. C29×#2077C2semidirect
4. C29×#2074C2semidirect
5. C29×#2025C2semidirect
7. C29×#1991C2semidirect
8. C29×#1968C2semidirect
9. C29×#1933C2semidirect
10. C29×#1920C2semidirect
12. C29×#1892C2semidirect
13. C29×#1877C2semidirect
14. C4×C29×#102C2semidirect
15. C8×C22⋊C4×C29C2semidirect
209. #28980C29direct (N × H)
285. #2489C2×C29semidirect
287. #2077C2×C29semidirect
288. #2074C2×C29semidirect
289. #2025C2×C29semidirect
291. #1991C2×C29semidirect
292. #1968C2×C29semidirect
293. #1933C2×C29semidirect
294. #1920C2×C29semidirect
296. #1892C2×C29semidirect
297. #1877C2×C29semidirect
298. C4×#102C2×C29semidirect
299. C8×C22⋊C4C2×C29semidirect
456. C29#28980direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#24892
C29×#24202
C29×#20772
C29×#20742
C29×#20252
C29×#20002
C29×#19912
C29×#19682
C29×#19332
C29×#19202
C29×#18932
C29×#18922
C29×#18772
C4×C29×#1022
C8×C22⋊C4×C292
#2898029