Finite Group Databasebeta

← C29×#29069 #20323969

Subgroups — C29×#29069 #20323969

Order 7424.

742 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#2495C211yesmaximal, characteristic, complemented
2C29×#2426C211yesmaximal, characteristic
3C29×#2101C211yesmaximal, characteristic, complemented
4C29×#2042C211yesmaximal, characteristic, complemented
5C29×#2035C211yesmaximal, characteristic, complemented
6C29×#2034C211yesmaximal, characteristic
7C29×#1958C211yesmaximal, characteristic, complemented
8C29×#1941C211yesmaximal, characteristic, complemented
9C29×#1936C211yesmaximal, characteristic, complemented
10C29×#1926C211yesmaximal, characteristic, complemented
11C29×#1895C211yesmaximal, characteristic
12C29×#1894C211yesmaximal, characteristic, complemented
13C29×#1865C211yesmaximal, characteristic, complemented
14C29×#1763C211yesmaximal, characteristic, complemented
15C29×#1753C211yesmaximal, characteristic, complemented
16C22×M16×C29C2211yescharacteristic
17C2×C29×#124C2211yescharacteristic
18C2×C29×C22⋊Q8C2211yescharacteristic
19C2×C29×#121C2211yescharacteristic
20C2×C4×Q8×C29C2211yescharacteristic
21C2×C29×#106C2211yescharacteristic
22C2×C29×#106C2211yescharacteristic
23C2×C29×#103C2211yescharacteristic
24C2×C29×#103C2211yescharacteristic
25C2×C29×#103C2211yescharacteristic
26C2×C29×#103C2211yescharacteristic
27C2×C29×#102C2211yescharacteristic
28C2×C29×#102C2211yescharacteristic
29C2×C29×#102C2211yescharacteristic
30C2×C29×#102C2211yescharacteristic
31C2×C29×C22⋊C8C2211yescharacteristic
32C2×C29×#97C2211yescharacteristic
33C2×C4×C8×C29C2211yescharacteristic
34C29×#400—21no—
35C29×#397—21no—
36C29×#396—21no—
37C29×#394—21no—
38C29×#390—21no—
39C29×#390C2211yescharacteristic
40C29×#389C2211yescharacteristic
41C29×#389C2211yescharacteristic
42C29×#389C2211yescharacteristic
43C29×#388—21no—
44C29×#388—21no—
45C29×#383—21no—
46C29×#382C2211yescharacteristic
47C29×#380C2211yescharacteristic
48C29×#380C2211yescharacteristic
49C4×C4⋊C4×C29C2211yescharacteristic
50C4×C22⋊C4×C29C2211yescharacteristic
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×C29C2311yescharacteristic
63C2×M16×C29—22no—
64C2×M16×C29—41no—
65C2×M16×C29—41no—
66C22×C8×C29C2311yescharacteristic
67C22×C8×C29C2311yescharacteristic
68C22×C8×C29C2311yescharacteristic
69C22×C8×C29C2311yescharacteristic
70C29×#124—22no—
71C29×#124—41no—
72C29×C22⋊Q8—22no—
73C29×C22⋊Q8—41no—
74C29×#121—22no—
75C29×#121—41no—
76C4×Q8×C29—22no—
77C4×Q8×C29—41no—
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×C29C2311yescharacteristic
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×C29D411yescharacteristic
98C2×C22⋊C4×C29D411yescharacteristic
99C2×C42×C29—21no—
100C2×C42×C29—21no—
101C2×C42×C29C2311yescharacteristic
102C2×C42×C29C2311yescharacteristic
103C29×#106—22no—
104C29×#106—41no—
105C29×#103—22no—
106C29×#103—22no—
107C29×#103—22no—
108C29×#103—41no—
109C29×#102—22no—
110C29×#102—22no—
111C29×#102—41no—
112C29×#102—41no—
113C29×C22⋊C8—22no—
114C29×#97—41no—
115C4×C8×C29—41no—
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#4112yes—
134C2×D4×C29—21no—
135C2×D4×C29—21no—
136C2×D4×C29—21no—
137C2×D4×C29—21no—
138C2×D4×C29—21no—
139C2×D4×C29—21no—
140C2×D4×C29—42no—
141C2×D4×C29—42no—
142C2×D4×C29—81no—
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×C29C2×D411yescharacteristic
157C22×C4×C29C2×D411yescharacteristic
158C22×C4×C29C2×D411yescharacteristic
159C22×C4×C29C2×D411yescharacteristic
160C22×C4×C29C2×D411yescharacteristic
161C22×C4×C29C2411yescharacteristic
162M16×C29—44no—
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—21no—
172C2×C8×C29—21no—
173C2×C8×C29#4112yes—
174C2×C8×C29#4112yes—
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#4112yes—
192C22⋊C4×C29—41no—
193C22⋊C4×C29—41no—
194C22⋊C4×C29—42no—
195C22⋊C4×C29—42no—
196C22⋊C4×C29—42no—
197C22⋊C4×C29—42no—
198C22⋊C4×C29—42no—
199C22⋊C4×C29—42no—
200C22⋊C4×C29—81no—
201C22⋊C4×C29—81no—
202C42×C29—21no—
203C42×C29—21no—
204C42×C29—21no—
205C42×C29—21no—
206C42×C29—42no—
207C42×C29—42no—
208#29069C2911yesmaximal, characteristic, direct product factor, Sylow
209C23×C29—21no—
210C23×C29—21no—
211C23×C29—21no—
212C23×C29—21no—
213C23×C29—21no—
214C23×C29—21no—
215C23×C29—21no—
216C23×C29—41no—
217C23×C29—41no—
218C23×C29—41no—
219C23×C29—41no—
220C23×C29—41no—
221C23×C29—41no—
222C23×C29—41no—
223C23×C29C22×D411yescharacteristic
224Q8×C29—22no—
225Q8×C29—22no—
226Q8×C29—41no—
227Q8×C29—41no—
228D4×C29—41no—
229D4×C29—41no—
230D4×C29—41no—
231D4×C29—41no—
232D4×C29—84no—
233C2×C4×C29—21no—
234C2×C4×C29—21no—
235C2×C4×C29—21no—
236C2×C4×C29—21no—
237C2×C4×C29—21no—
238C2×C4×C29—22no—
239C2×C4×C29—22no—
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—21no—
248C2×C4×C29—21no—
249C2×C4×C29—21no—
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×C29C2×#4111yescharacteristic
274C2×C4×C29C2×#4111yescharacteristic
275C2×C4×C29C2×#4111yescharacteristic
276C2×C4×C29C2×#4111yescharacteristic
277C2×C4×C29H(5,𝔽2)11yescharacteristic
278C2×C4×C29H(5,𝔽2)11yescharacteristic
279C8×C29—22no—
280C8×C29—22no—
281C8×C29—41no—
282C8×C29—41no—
283#2495C2×C2911yescharacteristic, complemented
284#2426C2×C2911yescharacteristic
285#2101C2×C2911yescharacteristic, complemented
286#2042C2×C2911yescharacteristic, complemented
287#2035C2×C2911yescharacteristic, complemented
288#2034C2×C2911yescharacteristic
289#1958C2×C2911yescharacteristic, complemented
290#1941C2×C2911yescharacteristic, complemented
291#1936C2×C2911yescharacteristic, complemented
292#1926C2×C2911yescharacteristic, complemented
293#1895C2×C2911yescharacteristic
294#1894C2×C2911yescharacteristic, complemented
295#1865C2×C2911yescharacteristic, complemented
296#1763C2×C2911yescharacteristic, complemented
297#1753C2×C2911yescharacteristic, complemented
298C22×C29—41no—
299C22×C29—41no—
300C22×C29—41no—
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×C29—81no—
310C22×C29—81no—
311C22×C29—81no—
312C22×C29#53211yescharacteristic
313C22×C29#54611yescharacteristic
314C22×C29#54611yescharacteristic
315C22×C29#57511yescharacteristic
316C22×C29#57511yescharacteristic
317C22×C29#57711yescharacteristic
318C22×C29#57711yescharacteristic
319C4×C29—41no—
320C4×C29—41no—
321C4×C29—41no—
322C4×C29—42no—
323C4×C29—41no—
324C4×C29—41no—
325C4×C29—42no—
326C4×C29—81no—
327C4×C29—81no—
328C4×C29—81no—
329C4×C29—81no—
330C4×C29—81no—
331C4×C29#52911yescharacteristic
332C4×C29#53811yescharacteristic
333C4×C29#55311yescharacteristic
334C4×C29#55311yescharacteristic
335C22×M16C22×C2911yescharacteristic
336C2×#124C22×C2911yescharacteristic
337C2×C22⋊Q8C22×C2911yescharacteristic
338C2×#121C22×C2911yescharacteristic
339C2×C4×Q8C22×C2911yescharacteristic
340C2×#106C22×C2911yescharacteristic
341C2×#106C22×C2911yescharacteristic
342C2×#103C22×C2911yescharacteristic
343C2×#103C22×C2911yescharacteristic
344C2×#103C22×C2911yescharacteristic
345C2×#103C22×C2911yescharacteristic
346C2×#102C22×C2911yescharacteristic
347C2×#102C22×C2911yescharacteristic
348C2×#102C22×C2911yescharacteristic
349C2×#102C22×C2911yescharacteristic
350C2×C22⋊C8C22×C2911yescharacteristic
351C2×#97C22×C2911yescharacteristic
352C2×C4×C8C22×C2911yescharacteristic
353#400—21no—
354#397—21no—
355#396—21no—
356#394—21no—
357#390—21no—
358#390C22×C2911yescharacteristic
359#389C22×C2911yescharacteristic
360#389C22×C2911yescharacteristic
361#389C22×C2911yescharacteristic
362#388—21no—
363#388—21no—
364#383—21no—
365#382C22×C2911yescharacteristic
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#336C22×C2911yescharacteristic
377#336C22×C2911yescharacteristic
378C2×C29—81no—
379C2×C29—161no—
380C2×C29#255911yescharacteristic
381C2×C29#317311yescharacteristic
382C2×C29#318311yescharacteristic
383C2×C29#331711yescharacteristic
384C2×C29#332111yescharacteristic
385C2×C29#332311yescharacteristic
386C2×C29#332611yescharacteristic
387C22×Q8C23×C2911yescharacteristic
388C22×D4—21no—
389C22×D4C23×C2911yescharacteristic
390C23×C4C23×C2911yescharacteristic
391C2×M16—22no—
392C2×M16—41no—
393C2×M16—41no—
394C22×C8C23×C2911yescharacteristic
395C22×C8C23×C2911yescharacteristic
396C22×C8C23×C2911yescharacteristic
397C22×C8C23×C2911yescharacteristic
398#124—22no—
399#124—41no—
400C22⋊Q8—22no—
401C22⋊Q8—41no—
402#121—22no—
403#121—41no—
404C4×Q8—22no—
405C4×Q8—41no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
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×C22⋊C4—21no—
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×C42—21no—
429C2×C42C23×C2911yescharacteristic
430C2×C42C23×C2911yescharacteristic
431#106—22no—
432#106—41no—
433#103—22no—
434#103—22no—
435#103—22no—
436#103—41no—
437#102—22no—
438#102—22no—
439#102—41no—
440#102—41no—
441C22⋊C8—22no—
442#97—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#95D4×C2911yescharacteristic
453#95D4×C2911yescharacteristic
454C29#2906911yescharacteristic, direct product factor, Sylow
455C24—21no—
456C24C2×D4×C2911yescharacteristic
457C2×Q8—21no—
458C2×Q8—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8#41×C2912yes—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—42no—
470C2×D4—42no—
471C2×D4—81no—
472C22×C4—21no—
473C22×C4—21no—
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×C4C2×D4×C2911yescharacteristic
486C22×C4C2×D4×C2911yescharacteristic
487C22×C4C2×D4×C2911yescharacteristic
488C22×C4C2×D4×C2911yescharacteristic
489C22×C4C2×D4×C2911yescharacteristic
490C22×C4C24×C2911yescharacteristic
491M16—44no—
492C2×C8—21no—
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—
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—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—42no—
516C4⋊C4—42no—
517C4⋊C4—81no—
518C4⋊C4—81no—
519C4⋊C4—81no—
520C4⋊C4#41×C2912yes—
521C22⋊C4—41no—
522C22⋊C4—41no—
523C22⋊C4—42no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—81no—
530C22⋊C4—81no—
531C42—21no—
532C42—21no—
533C42—21no—
534C42—21no—
535C42—42no—
536C42—42no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23C22×D4×C2911yescharacteristic
552Q8—22no—
553Q8—22no—
554Q8—41no—
555Q8—41no—
556D4—41no—
557D4—41no—
558D4—41no—
559D4—41no—
560D4—84no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
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—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×C4C2×#41×C2911yescharacteristic
602C2×C4C2×#41×C2911yescharacteristic
603C2×C4C2×#41×C2911yescharacteristic
604C2×C4C2×#41×C2911yescharacteristic
605C2×C4C29×H(5,𝔽2)11yescharacteristic
606C2×C4C29×H(5,𝔽2)11yescharacteristic
607C8—22no—
608C8—22no—
609C8—41no—
610C8—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—41no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22C29×#53211yescharacteristic
626C22C29×#54611yescharacteristic
627C22C29×#54611yescharacteristic
628C22C29×#57511yescharacteristic
629C22C29×#57511yescharacteristic
630C22C29×#57711yescharacteristic
631C22C29×#57711yescharacteristic
632C4—41no—
633C4—41no—
634C4—41no—
635C4—42no—
636C4—41no—
637C4—41no—
638C4—42no—
639C4—81no—
640C4—81no—
641C4—81no—
642C4—81no—
643C4—81no—
644C4C29×#52911yescharacteristic
645C4C29×#53811yescharacteristic
646C4C29×#55311yescharacteristic
647C4C29×#55311yescharacteristic
648C2—81no—
649C2—161no—
650C2C29×#255911yescharacteristic
651C2C29×#317311yescharacteristic
652C2C29×#318311yescharacteristic
653C2C29×#331711yescharacteristic
654C2C29×#332111yescharacteristic
655C2C29×#332311yescharacteristic
656C2C29×#332611yescharacteristic
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×#2495C2semidirect
3. C29×#2101C2semidirect
4. C29×#2042C2semidirect
5. C29×#2035C2semidirect
7. C29×#1958C2semidirect
8. C29×#1941C2semidirect
9. C29×#1936C2semidirect
10. C29×#1926C2semidirect
12. C29×#1894C2semidirect
13. C29×#1865C2semidirect
14. C29×#1763C2semidirect
15. C29×#1753C2semidirect
208. #29069C29direct (N × H)
283. #2495C2×C29semidirect
285. #2101C2×C29semidirect
286. #2042C2×C29semidirect
287. #2035C2×C29semidirect
289. #1958C2×C29semidirect
290. #1941C2×C29semidirect
291. #1936C2×C29semidirect
292. #1926C2×C29semidirect
294. #1894C2×C29semidirect
295. #1865C2×C29semidirect
296. #1763C2×C29semidirect
297. #1753C2×C29semidirect
454. C29#29069direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#24952
C29×#24262
C29×#21012
C29×#20422
C29×#20352
C29×#20342
C29×#19582
C29×#19412
C29×#19362
C29×#19262
C29×#18952
C29×#18942
C29×#18652
C29×#17632
C29×#17532
#2906929