Finite Group Databasebeta

← C29×#26855 #20321755

Subgroups — C29×#26855 #20321755

Order 7424.

764 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3136C211yesmaximal, characteristic, complemented
2C29×#3096C211yesmaximal, characteristic, complemented
3C29×#3081C211yesmaximal, characteristic, complemented
4C29×#2946C211yesmaximal, characteristic, complemented
5C29×#2063C211yesmaximal, characteristic, complemented
6C29×#2061C211yesmaximal, characteristic, complemented
7C29×#2051C211yesmaximal, characteristic, complemented
8C29×#2002C211yesmaximal, characteristic
9C29×#1961C211yesmaximal, characteristic, complemented
10C29×#1938C211yesmaximal, characteristic, complemented
11C29×#1931C211yesmaximal, characteristic, complemented
12C29×#1931C211yesmaximal, characteristic, complemented
13C29×#1887C211yesmaximal, characteristic, complemented
14C29×#1860C211yesmaximal, characteristic, complemented
15C29×#1773C211yesmaximal, characteristic, complemented
16C2×C29×AGL(1,ℤ/8)C2211yescharacteristic
17C29×#544C2211yescharacteristic
18C29×#535C2211yescharacteristic
19C2×C29×#127C2211yescharacteristic
20C29×#520C2211yescharacteristic
21C29×#518C2211yescharacteristic
22C29×#490—21no—
23C29×#489—21no—
24C29×#488—21no—
25C29×#486—21no—
26C29×#482—21no—
27C29×#482—21no—
28C29×#481—21no—
29C29×#480—21no—
30C29×#478—21no—
31C29×#478—21no—
32C29×#476—21no—
33C29×#474—21no—
34C29×#442—21no—
35C29×#440—21no—
36C4×SD16×C29—21no—
37C4×D8×C29—21no—
38C2×C29×#108C2211yescharacteristic
39C29×#428C2211yescharacteristic
40C29×#428C2211yescharacteristic
41C29×#428C2211yescharacteristic
42C29×#427C2211yescharacteristic
43C29×#424C2211yescharacteristic
44C2×C29×#104C2211yescharacteristic
45C29×#418C2211yescharacteristic
46C29×#418C2211yescharacteristic
47C29×#418C2211yescharacteristic
48C29×#417C2211yescharacteristic
49C29×#416C2211yescharacteristic
50C2×C29×#102C2211yescharacteristic
51C2×C29×#102C2211yescharacteristic
52C2×C29×#102C2211yescharacteristic
53C2×C29×#102C2211yescharacteristic
54C2×C29×#100C2211yescharacteristic
55C2×C29×#100C2211yescharacteristic
56C29×#408C2211yescharacteristic
57C29×#405C2211yescharacteristic
58C29×#405C2211yescharacteristic
59C2×C29×#97C2211yescharacteristic
60C29×#382C2211yescharacteristic
61C29×#343C2211yescharacteristic
62C29×#343C2211yescharacteristic
63C29×#341C2211yescharacteristic
64C29×#339C2211yescharacteristic
65C29×#339C2211yescharacteristic
66C29×#339C2211yescharacteristic
67C2×#41×C29C2311yescharacteristic
68C22×D4×C29—41no—
69C22×D4×C29C2311yescharacteristic
70C22×D4×C29C2311yescharacteristic
71C29×AGL(1,ℤ/8)—22no—
72C29×AGL(1,ℤ/8)—22no—
73C2×SD16×C29—21no—
74C2×D8×C29—21no—
75C2×M16×C29C2311yescharacteristic
76C2×M16×C29C2311yescharacteristic
77C2×M16×C29C2311yescharacteristic
78C2×M16×C29C2311yescharacteristic
79C22×C8×C29C2311yescharacteristic
80C22×C8×C29C2311yescharacteristic
81C29×C4⋊Q8—21no—
82C29×C4⋊Q8—21no—
83C29×#127—21no—
84C29×#127—22no—
85C29×#127—22no—
86C29×#125—21no—
87C29×#125—21no—
88C29×#124—21no—
89C29×C22⋊Q8—41no—
90C29×#121—21no—
91C29×#121—21no—
92C29×#120—41no—
93C4×Q8×C29—21no—
94C4×D4×C29—21no—
95C4×D4×C29—21no—
96C4×D4×C29—21no—
97C4×D4×C29—21no—
98C4×D4×C29—21no—
99C4×D4×C29—41no—
100C29×#117—21no—
101C29×#117C2311yescharacteristic
102C29×#117C2311yescharacteristic
103C29×#117C2311yescharacteristic
104C2×C4⋊C4×C29—21no—
105C2×C4⋊C4×C29C2311yescharacteristic
106C2×C4⋊C4×C29C2311yescharacteristic
107C2×C22⋊C4×C29—41no—
108C2×C42×C29C2311yescharacteristic
109C29×#108—22no—
110C29×#107—21no—
111C29×#107—21no—
112C29×#107—21no—
113C29×#107D411yescharacteristic, complemented
114C29×#107D411yescharacteristic, complemented
115C29×#106—21no—
116C29×#106—21no—
117C29×#106—21no—
118C29×#106D411yescharacteristic, complemented
119C29×#106D411yescharacteristic, complemented
120C29×C4⋊C8—21no—
121C29×C4⋊C8—21no—
122C29×#104—22no—
123C29×#103—21no—
124C29×#103D411yescharacteristic, complemented
125C29×#103D411yescharacteristic, complemented
126C29×#102—21no—
127C29×#102—21no—
128C29×#102—21no—
129C29×#102—21no—
130C29×#102—21no—
131C29×#102—21no—
132C29×#102—21no—
133C29×#102—21no—
134C29×#102—21no—
135C29×#102—21no—
136C29×#102—21no—
137C29×#102—21no—
138C29×#102—21no—
139C29×#102—21no—
140C29×#102—21no—
141C29×#102D411yescharacteristic, complemented
142C29×#102D411yescharacteristic, complemented
143C29×#100—22no—
144C29×#100—22no—
145C29×C22⋊C8—21no—
146C29×C22⋊C8—21no—
147C29×#97—21no—
148C29×#97—21no—
149C29×#97—22no—
150C4×C8×C29—21no—
151C4×C8×C29—21no—
152C29×#95—41no—
153C24×C29—21no—
154C24×C29—21no—
155#41×C29—21no—
156#41×C29—21no—
157#41×C29—21no—
158#41×C29—21no—
159C2×Q8×C29—41no—
160C2×Q8×C29C2×D411yescharacteristic
161C2×D4×C29—21no—
162C2×D4×C29—21no—
163C2×D4×C29—21no—
164C2×D4×C29—21no—
165C2×D4×C29—21no—
166C2×D4×C29—21no—
167C2×D4×C29—21no—
168C2×D4×C29—21no—
169C2×D4×C29—21no—
170C2×D4×C29—21no—
171C2×D4×C29—21no—
172C2×D4×C29—21no—
173C2×D4×C29—44no—
174C2×D4×C29—41no—
175C2×D4×C29—41no—
176C2×D4×C29—82no—
177C2×D4×C29—82no—
178C2×D4×C29C2×D411yescharacteristic
179C2×D4×C29#4112yes—
180C22×C4×C29—21no—
181C22×C4×C29—21no—
182C22×C4×C29—21no—
183C22×C4×C29—21no—
184C22×C4×C29—41no—
185C22×C4×C29—41no—
186C22×C4×C29—41no—
187C22×C4×C29C2411yescharacteristic
188SD16×C29—24no—
189D8×C29—24no—
190M16×C29—21no—
191M16×C29—21no—
192M16×C29—21no—
193M16×C29—21no—
194M16×C29—21no—
195M16×C29—21no—
196M16×C29—21no—
197M16×C29#4112yes—
198C2×C8×C29—21no—
199C2×C8×C29—21no—
200C2×C8×C29—21no—
201C2×C8×C29—21no—
202C2×C8×C29—21no—
203C2×C8×C29—21no—
204C2×C8×C29—21no—
205C2×C8×C29—21no—
206C2×C8×C29C2×D411yescharacteristic
207C2×C8×C29C2×D411yescharacteristic
208C2×C8×C29C2×D411yescharacteristic
209C2×C8×C29C2×D411yescharacteristic
210C4⋊C4×C29—21no—
211C4⋊C4×C29—21no—
212C4⋊C4×C29—21no—
213C4⋊C4×C29—21no—
214C4⋊C4×C29—41no—
215C4⋊C4×C29—41no—
216C4⋊C4×C29—41no—
217C4⋊C4×C29—41no—
218C4⋊C4×C29C2×D411yescharacteristic
219C4⋊C4×C29C2×D411yescharacteristic
220C4⋊C4×C29C2×D411yescharacteristic
221C4⋊C4×C29C2×D411yescharacteristic
222C4⋊C4×C29C2×D411yescharacteristic
223C4⋊C4×C29C2×D411yescharacteristic
224C22⋊C4×C29—21no—
225C22⋊C4×C29—21no—
226C22⋊C4×C29—21no—
227C22⋊C4×C29—41no—
228C22⋊C4×C29—41no—
229C22⋊C4×C29—41no—
230C22⋊C4×C29—41no—
231C22⋊C4×C29—41no—
232C42×C29—21no—
233C42×C29—21no—
234C42×C29—21no—
235C42×C29—21no—
236C42×C29—41no—
237C42×C29#4112yes—
238#26855C2911yesmaximal, characteristic, direct product factor, Sylow
239C23×C29—21no—
240C23×C29—22no—
241C23×C29—41no—
242C23×C29—41no—
243C23×C29—41no—
244C23×C29—41no—
245C23×C29—41no—
246C23×C29—81no—
247C23×C29—81no—
248C23×C29—81no—
249C23×C29—81no—
250C23×C29H(5,𝔽2)11yescharacteristic
251Q8×C29—21no—
252Q8×C29—21no—
253Q8×C29—161no—
254D4×C29—21no—
255D4×C29—22no—
256D4×C29—21no—
257D4×C29—22no—
258D4×C29—41no—
259D4×C29—41no—
260D4×C29—41no—
261D4×C29—41no—
262D4×C29—41no—
263D4×C29—41no—
264D4×C29—41no—
265D4×C29—41no—
266D4×C29—88no—
267D4×C29—161no—
268D4×C29—161no—
269C2×C4×C29—21no—
270C2×C4×C29—21no—
271C2×C4×C29—21no—
272C2×C4×C29—21no—
273C2×C4×C29—21no—
274C2×C4×C29—21no—
275C2×C4×C29—21no—
276C2×C4×C29—22no—
277C2×C4×C29—41no—
278C2×C4×C29—41no—
279C2×C4×C29—41no—
280C2×C4×C29—41no—
281C2×C4×C29—41no—
282C2×C4×C29—41no—
283C2×C4×C29—81no—
284C2×C4×C29—81no—
285C2×C4×C29—161no—
286C2×C4×C29—161no—
287C2×C4×C29—161no—
288C2×C4×C29C22×D411yescharacteristic
289C2×C4×C29C22×D411yescharacteristic
290C2×C4×C29C2×#4111yescharacteristic
291C2×C4×C29C2×#4111yescharacteristic
292C2×C4×C29C2×#4111yescharacteristic
293C2×C4×C292−1+411yescharacteristic
294C8×C29—22no—
295C8×C29—21no—
296C8×C29—21no—
297C8×C29—21no—
298C8×C29—21no—
299C8×C29—41no—
300C8×C29—41no—
301C8×C29—41no—
302#3136C2×C2911yescharacteristic, complemented
303#3096C2×C2911yescharacteristic, complemented
304#3081C2×C2911yescharacteristic, complemented
305#2946C2×C2911yescharacteristic, complemented
306#2063C2×C2911yescharacteristic, complemented
307#2061C2×C2911yescharacteristic, complemented
308#2051C2×C2911yescharacteristic, complemented
309#2002C2×C2911yescharacteristic
310#1961C2×C2911yescharacteristic, complemented
311#1938C2×C2911yescharacteristic, complemented
312#1931C2×C2911yescharacteristic, complemented
313#1931C2×C2911yescharacteristic, complemented
314#1887C2×C2911yescharacteristic, complemented
315#1860C2×C2911yescharacteristic, complemented
316#1773C2×C2911yescharacteristic, complemented
317C22×C29—21no—
318C22×C29—21no—
319C22×C29—41no—
320C22×C29—42no—
321C22×C29—41no—
322C22×C29—41no—
323C22×C29—82no—
324C22×C29—82no—
325C22×C29—81no—
326C22×C29—81no—
327C22×C29—81no—
328C22×C29—81no—
329C22×C29—81no—
330C22×C29—161no—
331C22×C29—161no—
332C22×C29#54211yescharacteristic
333C22×C29D4211yescharacteristic
334C22×C29#55111yescharacteristic
335C4×C29—42no—
336C4×C29—41no—
337C4×C29—41no—
338C4×C29—41no—
339C4×C29—41no—
340C4×C29—41no—
341C4×C29—41no—
342C4×C29—41no—
343C4×C29—81no—
344C4×C29—81no—
345C4×C29#52511yescharacteristic
346C4×C29#53211yescharacteristic
347C4×C29#54711yescharacteristic
348C4×C29#54811yescharacteristic
349C2×AGL(1,ℤ/8)C22×C2911yescharacteristic
350#544C22×C2911yescharacteristic
351#535C22×C2911yescharacteristic
352C2×#127C22×C2911yescharacteristic
353#520C22×C2911yescharacteristic
354#518C22×C2911yescharacteristic
355#490—21no—
356#489—21no—
357#488—21no—
358#486—21no—
359#482—21no—
360#482—21no—
361#481—21no—
362#480—21no—
363#478—21no—
364#478—21no—
365#476—21no—
366#474—21no—
367#442—21no—
368#440—21no—
369C4×SD16—21no—
370C4×D8—21no—
371C2×#108C22×C2911yescharacteristic
372#428C22×C2911yescharacteristic
373#428C22×C2911yescharacteristic
374#428C22×C2911yescharacteristic
375#427C22×C2911yescharacteristic
376#424C22×C2911yescharacteristic
377C2×#104C22×C2911yescharacteristic
378#418C22×C2911yescharacteristic
379#418C22×C2911yescharacteristic
380#418C22×C2911yescharacteristic
381#417C22×C2911yescharacteristic
382#416C22×C2911yescharacteristic
383C2×#102C22×C2911yescharacteristic
384C2×#102C22×C2911yescharacteristic
385C2×#102C22×C2911yescharacteristic
386C2×#102C22×C2911yescharacteristic
387C2×#100C22×C2911yescharacteristic
388C2×#100C22×C2911yescharacteristic
389#408C22×C2911yescharacteristic
390#405C22×C2911yescharacteristic
391#405C22×C2911yescharacteristic
392C2×#97C22×C2911yescharacteristic
393#382C22×C2911yescharacteristic
394#343C22×C2911yescharacteristic
395#343C22×C2911yescharacteristic
396#341C22×C2911yescharacteristic
397#339C22×C2911yescharacteristic
398#339C22×C2911yescharacteristic
399#339C22×C2911yescharacteristic
400C2×C29—21no—
401C2×C29—21no—
402C2×C29—81no—
403C2×C29—82no—
404C2×C29—161no—
405C2×C29#246111yescharacteristic
406C2×C29#328811yescharacteristic
407C2×C29#328811yescharacteristic
408C2×#41C23×C2911yescharacteristic
409C22×D4—41no—
410C22×D4C23×C2911yescharacteristic
411C22×D4C23×C2911yescharacteristic
412AGL(1,ℤ/8)—22no—
413AGL(1,ℤ/8)—22no—
414C2×SD16—21no—
415C2×D8—21no—
416C2×M16C23×C2911yescharacteristic
417C2×M16C23×C2911yescharacteristic
418C2×M16C23×C2911yescharacteristic
419C2×M16C23×C2911yescharacteristic
420C22×C8C23×C2911yescharacteristic
421C22×C8C23×C2911yescharacteristic
422C4⋊Q8—21no—
423C4⋊Q8—21no—
424#127—21no—
425#127—22no—
426#127—22no—
427#125—21no—
428#125—21no—
429#124—21no—
430C22⋊Q8—41no—
431#121—21no—
432#121—21no—
433#120—41no—
434C4×Q8—21no—
435C4×D4—21no—
436C4×D4—21no—
437C4×D4—21no—
438C4×D4—21no—
439C4×D4—21no—
440C4×D4—41no—
441#117—21no—
442#117C23×C2911yescharacteristic
443#117C23×C2911yescharacteristic
444#117C23×C2911yescharacteristic
445C2×C4⋊C4—21no—
446C2×C4⋊C4C23×C2911yescharacteristic
447C2×C4⋊C4C23×C2911yescharacteristic
448C2×C22⋊C4—41no—
449C2×C42C23×C2911yescharacteristic
450#108—22no—
451#107—21no—
452#107—21no—
453#107—21no—
454#107D4×C2911yescharacteristic, complemented
455#107D4×C2911yescharacteristic, complemented
456#106—21no—
457#106—21no—
458#106—21no—
459#106D4×C2911yescharacteristic, complemented
460#106D4×C2911yescharacteristic, complemented
461C4⋊C8—21no—
462C4⋊C8—21no—
463#104—22no—
464#103—21no—
465#103D4×C2911yescharacteristic, complemented
466#103D4×C2911yescharacteristic, complemented
467#102—21no—
468#102—21no—
469#102—21no—
470#102—21no—
471#102—21no—
472#102—21no—
473#102—21no—
474#102—21no—
475#102—21no—
476#102—21no—
477#102—21no—
478#102—21no—
479#102—21no—
480#102—21no—
481#102—21no—
482#102D4×C2911yescharacteristic, complemented
483#102D4×C2911yescharacteristic, complemented
484#100—22no—
485#100—22no—
486C22⋊C8—21no—
487C22⋊C8—21no—
488#97—21no—
489#97—21no—
490#97—22no—
491C4×C8—21no—
492C4×C8—21no—
493#95—41no—
494C29#2685511yescharacteristic, direct product factor, Sylow
495C24—21no—
496C24—21no—
497#41—21no—
498#41—21no—
499#41—21no—
500#41—21no—
501C2×Q8—41no—
502C2×Q8C2×D4×C2911yescharacteristic
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—44no—
516C2×D4—41no—
517C2×D4—41no—
518C2×D4—82no—
519C2×D4—82no—
520C2×D4C2×D4×C2911yescharacteristic
521C2×D4#41×C2912yes—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—41no—
527C22×C4—41no—
528C22×C4—41no—
529C22×C4C24×C2911yescharacteristic
530SD16—24no—
531D8—24no—
532M16—21no—
533M16—21no—
534M16—21no—
535M16—21no—
536M16—21no—
537M16—21no—
538M16—21no—
539M16#41×C2912yes—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8C2×D4×C2911yescharacteristic
549C2×C8C2×D4×C2911yescharacteristic
550C2×C8C2×D4×C2911yescharacteristic
551C2×C8C2×D4×C2911yescharacteristic
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—41no—
557C4⋊C4—41no—
558C4⋊C4—41no—
559C4⋊C4—41no—
560C4⋊C4C2×D4×C2911yescharacteristic
561C4⋊C4C2×D4×C2911yescharacteristic
562C4⋊C4C2×D4×C2911yescharacteristic
563C4⋊C4C2×D4×C2911yescharacteristic
564C4⋊C4C2×D4×C2911yescharacteristic
565C4⋊C4C2×D4×C2911yescharacteristic
566C22⋊C4—21no—
567C22⋊C4—21no—
568C22⋊C4—21no—
569C22⋊C4—41no—
570C22⋊C4—41no—
571C22⋊C4—41no—
572C22⋊C4—41no—
573C22⋊C4—41no—
574C42—21no—
575C42—21no—
576C42—21no—
577C42—21no—
578C42—41no—
579C42#41×C2912yes—
580C23—21no—
581C23—22no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—81no—
588C23—81no—
589C23—81no—
590C23—81no—
591C23C29×H(5,𝔽2)11yescharacteristic
592Q8—21no—
593Q8—21no—
594Q8—161no—
595D4—21no—
596D4—22no—
597D4—21no—
598D4—22no—
599D4—41no—
600D4—41no—
601D4—41no—
602D4—41no—
603D4—41no—
604D4—41no—
605D4—41no—
606D4—41no—
607D4—88no—
608D4—161no—
609D4—161no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—81no—
625C2×C4—81no—
626C2×C4—161no—
627C2×C4—161no—
628C2×C4—161no—
629C2×C4C22×D4×C2911yescharacteristic
630C2×C4C22×D4×C2911yescharacteristic
631C2×C4C2×#41×C2911yescharacteristic
632C2×C4C2×#41×C2911yescharacteristic
633C2×C4C2×#41×C2911yescharacteristic
634C2×C4C29×2−1+411yescharacteristic
635C8—22no—
636C8—21no—
637C8—21no—
638C8—21no—
639C8—21no—
640C8—41no—
641C8—41no—
642C8—41no—
643C22—21no—
644C22—21no—
645C22—41no—
646C22—42no—
647C22—41no—
648C22—41no—
649C22—82no—
650C22—82no—
651C22—81no—
652C22—81no—
653C22—81no—
654C22—81no—
655C22—81no—
656C22—161no—
657C22—161no—
658C22C29×#54211yescharacteristic
659C22D42×C2911yescharacteristic
660C22C29×#55111yescharacteristic
661C4—42no—
662C4—41no—
663C4—41no—
664C4—41no—
665C4—41no—
666C4—41no—
667C4—41no—
668C4—41no—
669C4—81no—
670C4—81no—
671C4C29×#52511yescharacteristic
672C4C29×#53211yescharacteristic
673C4C29×#54711yescharacteristic
674C4C29×#54811yescharacteristic
675C2—21no—
676C2—21no—
677C2—81no—
678C2—82no—
679C2—161no—
680C2C29×#246111yescharacteristic
681C2C29×#328811yescharacteristic
682C2C29×#328811yescharacteristic
subgroupG/H
center, socleC22×C29D42
commutator, Frattini, cosocleC22×C4C24×C29
prime radicalC29×#2002C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C29 ◁ C22×C4×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#3136C2semidirect
2. C29×#3096C2semidirect
3. C29×#3081C2semidirect
4. C29×#2946C2semidirect
5. C29×#2063C2semidirect
6. C29×#2061C2semidirect
7. C29×#2051C2semidirect
9. C29×#1961C2semidirect
10. C29×#1938C2semidirect
11. C29×#1931C2semidirect
12. C29×#1931C2semidirect
13. C29×#1887C2semidirect
14. C29×#1860C2semidirect
15. C29×#1773C2semidirect
113. C29×#107D4semidirect
114. C29×#107D4semidirect
118. C29×#106D4semidirect
119. C29×#106D4semidirect
124. C29×#103D4semidirect
125. C29×#103D4semidirect
141. C29×#102D4semidirect
142. C29×#102D4semidirect
238. #26855C29direct (N × H)
302. #3136C2×C29semidirect
303. #3096C2×C29semidirect
304. #3081C2×C29semidirect
305. #2946C2×C29semidirect
306. #2063C2×C29semidirect
307. #2061C2×C29semidirect
308. #2051C2×C29semidirect
310. #1961C2×C29semidirect
311. #1938C2×C29semidirect
312. #1931C2×C29semidirect
313. #1931C2×C29semidirect
314. #1887C2×C29semidirect
315. #1860C2×C29semidirect
316. #1773C2×C29semidirect
454. #107D4×C29semidirect
455. #107D4×C29semidirect
459. #106D4×C29semidirect
460. #106D4×C29semidirect
465. #103D4×C29semidirect
466. #103D4×C29semidirect
482. #102D4×C29semidirect
483. #102D4×C29semidirect
494. C29#26855direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#31362
C29×#30962
C29×#30812
C29×#29462
C29×#20632
C29×#20612
C29×#20512
C29×#20022
C29×#19612
C29×#19382
C29×#19312
C29×#18872
C29×#18602
C29×#17732
#2685529