Finite Group Databasebeta

← C29×#33854 #20328754

Subgroups — C29×#33854 #20328754

Order 7424.

656 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3416C211yesmaximal, characteristic, complemented
2C29×#3415C211yesmaximal, characteristic, complemented
3C29×#3292C211yesmaximal, characteristic, complemented
4C29×#3290C211yesmaximal, characteristic, complemented
5C29×#2250C211yesmaximal, characteristic, complemented
6C29×#2223C211yesmaximal, characteristic, complemented
7C29×#2221C211yesmaximal, characteristic, complemented
8C29×#2213C211yesmaximal, characteristic, complemented
9C29×#2212C211yesmaximal, characteristic, complemented
10C29×#2194C211yesmaximal, characteristic, complemented
11C29×#2193C211yesmaximal, characteristic, complemented
12C29×#2192C211yesmaximal, characteristic, complemented
13C29×#2192C211yesmaximal, characteristic, complemented
14C29×#2179C211yesmaximal, characteristic, complemented
15C29×#2171C211yesmaximal, characteristic, complemented
16C29×#578C2211yescharacteristic, complemented
17C29×#577—21no—
18C29×#576—21no—
19C29×#576C2211yescharacteristic
20C29×#576C2211yescharacteristic, complemented
21C29×#576C2211yescharacteristic, complemented
22C29×#510—21no—
23C29×#510C2211yescharacteristic, complemented
24C29×#509—21no—
25C29×#509—21no—
26C29×#509—21no—
27C29×#509C2211yescharacteristic
28C29×#509C2211yescharacteristic, complemented
29C29×#509C2211yescharacteristic, complemented
30C29×#508—21no—
31C29×#508—21no—
32C29×#508C2211yescharacteristic
33C2×C29×SD32—21no—
34C2×C29×SD32C2211yescharacteristic, complemented
35C2×C29×SD32C2211yescharacteristic, complemented
36C2×C29×D16—21no—
37C2×C29×D16C2211yescharacteristic, complemented
38C2×C29×D16C2211yescharacteristic, complemented
39C29×#504C2211yescharacteristic, complemented
40C29×#504C2211yescharacteristic, complemented
41C29×#495C2211yescharacteristic, complemented
42C29×#493C2211yescharacteristic, complemented
43C29×#473C2211yescharacteristic, complemented
44C29×#472—21no—
45C29×#472C2211yescharacteristic
46C29×#472C2211yescharacteristic, complemented
47C29×#472C2211yescharacteristic, complemented
48C29×#471—21no—
49C29×#455—21no—
50C29×#454—21no—
51C29×#453—21no—
52C29×#453—21no—
53C29×#443C2211yescharacteristic
54C29×#443C2211yescharacteristic, complemented
55C29×#443C2211yescharacteristic, complemented
56C29×#368C2211yescharacteristic, complemented
57C29×#364C2211yescharacteristic, complemented
58C29×#362C2211yescharacteristic, complemented
59C29×#361C2211yescharacteristic, complemented
60C29×#361C2211yescharacteristic, complemented
61C29×#361C2211yescharacteristic, complemented
62C29×#359C2211yescharacteristic, complemented
63C29×#359C2211yescharacteristic, complemented
64C29×#350C2211yescharacteristic, complemented
65C29×#350C2211yescharacteristic, complemented
66C29×#346C2211yescharacteristic, complemented
67C29×2−1+4—21no—
68C29×H(5,𝔽2)—21no—
69C29×H(5,𝔽2)—21no—
70C29×H(5,𝔽2)—21no—
71C29×#137—21no—
72C29×#137—21no—
73C29×#137—41no—
74C29×#137—41no—
75C29×AGL(1,ℤ/8)—21no—
76C29×AGL(1,ℤ/8)—21no—
77C29×AGL(1,ℤ/8)—21no—
78C29×AGL(1,ℤ/8)—21no—
79C29×AGL(1,ℤ/8)—21no—
80C29×AGL(1,ℤ/8)—21no—
81C29×AGL(1,ℤ/8)—41no—
82C29×AGL(1,ℤ/8)—41no—
83C29×AGL(1,ℤ/8)—41no—
84C29×AGL(1,ℤ/8)—41no—
85C29×AGL(1,ℤ/8)—41no—
86C29×AGL(1,ℤ/8)—41no—
87C29×#135—21no—
88C29×#135—21no—
89C29×#135—21no—
90C29×#135—21no—
91C29×#135—41no—
92C29×#135—41no—
93C29×#135D411yescharacteristic
94C29×#135C2311yescharacteristic
95C29×#135C2311yescharacteristic
96C2×Q16×C29—21no—
97C2×Q16×C29C2311yescharacteristic
98C2×SD16×C29—21no—
99C2×SD16×C29—41no—
100C2×D8×C29—21no—
101C2×D8×C29—21no—
102C2×D8×C29—21no—
103C2×D8×C29—21no—
104C2×D8×C29—41no—
105C2×D8×C29C2311yescharacteristic
106C2×D8×C29C2311yescharacteristic
107C2×D8×C29C2311yescharacteristic
108C29×#131—21no—
109C29×#131—21no—
110C29×#131C2311yescharacteristic
111C29×#131C2311yescharacteristic
112C29×#127—21no—
113C29×#124—21no—
114C29×Q32—21no—
115C29×Q32D411yescharacteristic, complemented
116C29×SD32—21no—
117C29×SD32—21no—
118C29×SD32—21no—
119C29×SD32—21no—
120C29×SD32—21no—
121C29×SD32—21no—
122C29×SD32—41no—
123C29×SD32D411yescharacteristic, complemented
124C29×SD32D411yescharacteristic, complemented
125C29×D16—21no—
126C29×D16—21no—
127C29×D16—21no—
128C29×D16—21no—
129C29×D16—21no—
130C29×D16—41no—
131C29×D16D411yescharacteristic, complemented
132C29×M32—21no—
133C29×M32—21no—
134C29×M32C2311yescharacteristic
135C29×M32C2311yescharacteristic
136C2×C16×C29—21no—
137C2×C16×C29—21no—
138C2×C16×C29C2311yescharacteristic
139C2×C16×C29C2311yescharacteristic
140C29×#108D411yescharacteristic
141C29×#108C2311yescharacteristic
142C29×#108C2311yescharacteristic
143C29×#104—21no—
144C29×#104—21no—
145C29×#104D411yescharacteristic
146C29×#104D411yescharacteristic
147C29×#101—21no—
148C29×#100—21no—
149C29×#100—21no—
150C29×#100—21no—
151C4×C8×C29C2311yescharacteristic
152#41×C29—21no—
153#41×C29—21no—
154#41×C29—41no—
155#41×C29—41no—
156#41×C29—41no—
157#41×C29—41no—
158#41×C29—41no—
159#41×C29—41no—
160#41×C29—41no—
161#41×C29—41no—
162#41×C29—81no—
163#41×C29C2×D411yescharacteristic
164#41×C29C2×D411yescharacteristic
165C2×Q8×C29—21no—
166C2×Q8×C29—41no—
167C2×Q8×C29—41no—
168C2×D4×C29—21no—
169C2×D4×C29—21no—
170C2×D4×C29—21no—
171C2×D4×C29—41no—
172C2×D4×C29—41no—
173C2×D4×C29—41no—
174C2×D4×C29—41no—
175C2×D4×C29—41no—
176C2×D4×C29—41no—
177C2×D4×C29—81no—
178C2×D4×C29—81no—
179C2×D4×C29—81no—
180C2×D4×C29—81no—
181Q16×C29—21no—
182Q16×C29—21no—
183Q16×C29—41no—
184Q16×C29—41no—
185Q16×C29D811yescharacteristic
186Q16×C29C2×D411yescharacteristic
187Q16×C29C2×D411yescharacteristic
188SD16×C29—21no—
189SD16×C29—21no—
190SD16×C29—41no—
191SD16×C29—41no—
192SD16×C29—41no—
193SD16×C29—41no—
194SD16×C29—41no—
195SD16×C29—41no—
196SD16×C29—41no—
197SD16×C29—41no—
198SD16×C29—41no—
199SD16×C29—41no—
200SD16×C29D811yescharacteristic
201SD16×C29D811yescharacteristic
202D8×C29—21no—
203D8×C29—21no—
204D8×C29—21no—
205D8×C29—21no—
206D8×C29—21no—
207D8×C29—21no—
208D8×C29—41no—
209D8×C29—41no—
210D8×C29—41no—
211D8×C29—41no—
212D8×C29—41no—
213D8×C29—41no—
214D8×C29—41no—
215D8×C29—41no—
216D8×C29D811yescharacteristic
217D8×C29C2×D411yescharacteristic
218D8×C29C2×D411yescharacteristic
219M16×C29—21no—
220M16×C29—21no—
221M16×C29—21no—
222M16×C29—21no—
223M16×C29—41no—
224M16×C29—41no—
225M16×C29C2×D411yescharacteristic
226M16×C29C2×D411yescharacteristic
227C2×C8×C29—21no—
228C2×C8×C29—21no—
229C2×C8×C29—41no—
230C2×C8×C29—41no—
231C2×C8×C29C2×D411yescharacteristic
232C2×C8×C29C2411yescharacteristic
233C22⋊C4×C29—81no—
234C42×C29C2×D411yescharacteristic
235C16×C29—21no—
236C16×C29—21no—
237C16×C29—21no—
238C16×C29C2×D411yescharacteristic
239C16×C29C2×D411yescharacteristic
240#33854C2911yesmaximal, characteristic, direct product factor, Sylow
241C23×C29—41no—
242C23×C29—41no—
243C23×C29—41no—
244C23×C29—81no—
245C23×C29—81no—
246C23×C29—81no—
247Q8×C29—21no—
248Q8×C29—21no—
249Q8×C29—41no—
250Q8×C29—41no—
251Q8×C29—81no—
252Q8×C29C2×D811yescharacteristic
253Q8×C29C2×D811yescharacteristic
254D4×C29—21no—
255D4×C29—21no—
256D4×C29—21no—
257D4×C29—21no—
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—81no—
267D4×C29—81no—
268D4×C29—81no—
269D4×C29—81no—
270D4×C29—81no—
271D4×C29—81no—
272D4×C29—81no—
273D4×C29—162no—
274D4×C29C2×D811yescharacteristic
275D4×C29C2×D811yescharacteristic
276C2×C4×C29—21no—
277C2×C4×C29—21no—
278C2×C4×C29—21no—
279C2×C4×C29—41no—
280C2×C4×C29—41no—
281C2×C4×C29—41no—
282C2×C4×C29—81no—
283C2×C4×C29—81no—
284C2×C4×C29—81no—
285C2×C4×C29—81no—
286C2×C4×C29—81no—
287C2×C4×C29C22×D411yescharacteristic
288C8×C29—21no—
289C8×C29—21no—
290C8×C29—41no—
291C8×C29—41no—
292C8×C29C2×D811yescharacteristic
293C8×C29C2×D811yescharacteristic
294C8×C29C22×D411yescharacteristic
295C8×C29H(5,𝔽2)11yescharacteristic
296#3416C2×C2911yescharacteristic, complemented
297#3415C2×C2911yescharacteristic, complemented
298#3292C2×C2911yescharacteristic, complemented
299#3290C2×C2911yescharacteristic, complemented
300#2250C2×C2911yescharacteristic, complemented
301#2223C2×C2911yescharacteristic, complemented
302#2221C2×C2911yescharacteristic, complemented
303#2213C2×C2911yescharacteristic, complemented
304#2212C2×C2911yescharacteristic, complemented
305#2194C2×C2911yescharacteristic, complemented
306#2193C2×C2911yescharacteristic, complemented
307#2192C2×C2911yescharacteristic, complemented
308#2192C2×C2911yescharacteristic, complemented
309#2179C2×C2911yescharacteristic, complemented
310#2171C2×C2911yescharacteristic, complemented
311C22×C29—21no—
312C22×C29—21no—
313C22×C29—41no—
314C22×C29—41no—
315C22×C29—81no—
316C22×C29—81no—
317C22×C29—81no—
318C22×C29—161no—
319C22×C29—161no—
320C22×C29—161no—
321C22×C29—321no—
322C22×C29—321no—
323C22×C29—321no—
324C22×C29#57611yescharacteristic
325C4×C29—21no—
326C4×C29—21no—
327C4×C29—41no—
328C4×C29—41no—
329C4×C29—41no—
330C4×C29—81no—
331C4×C29D4211yescharacteristic
332C4×C29C22×D811yescharacteristic
333#578C22×C2911yescharacteristic, complemented
334#577—21no—
335#576—21no—
336#576C22×C2911yescharacteristic
337#576C22×C2911yescharacteristic, complemented
338#576C22×C2911yescharacteristic, complemented
339#510—21no—
340#510C22×C2911yescharacteristic, complemented
341#509—21no—
342#509—21no—
343#509—21no—
344#509C22×C2911yescharacteristic
345#509C22×C2911yescharacteristic, complemented
346#509C22×C2911yescharacteristic, complemented
347#508—21no—
348#508—21no—
349#508C22×C2911yescharacteristic
350C2×SD32—21no—
351C2×SD32C22×C2911yescharacteristic, complemented
352C2×SD32C22×C2911yescharacteristic, complemented
353C2×D16—21no—
354C2×D16C22×C2911yescharacteristic, complemented
355C2×D16C22×C2911yescharacteristic, complemented
356#504C22×C2911yescharacteristic, complemented
357#504C22×C2911yescharacteristic, complemented
358#495C22×C2911yescharacteristic, complemented
359#493C22×C2911yescharacteristic, complemented
360#473C22×C2911yescharacteristic, complemented
361#472—21no—
362#472C22×C2911yescharacteristic
363#472C22×C2911yescharacteristic, complemented
364#472C22×C2911yescharacteristic, complemented
365#471—21no—
366#455—21no—
367#454—21no—
368#453—21no—
369#453—21no—
370#443C22×C2911yescharacteristic
371#443C22×C2911yescharacteristic, complemented
372#443C22×C2911yescharacteristic, complemented
373#368C22×C2911yescharacteristic, complemented
374#364C22×C2911yescharacteristic, complemented
375#362C22×C2911yescharacteristic, complemented
376#361C22×C2911yescharacteristic, complemented
377#361C22×C2911yescharacteristic, complemented
378#361C22×C2911yescharacteristic, complemented
379#359C22×C2911yescharacteristic, complemented
380#359C22×C2911yescharacteristic, complemented
381#350C22×C2911yescharacteristic, complemented
382#350C22×C2911yescharacteristic, complemented
383#346C22×C2911yescharacteristic, complemented
384C2×C29—21no—
385C2×C29—41no—
386C2×C29—41no—
387C2×C29—81no—
388C2×C29—81no—
389C2×C29—161no—
390C2×C29—161no—
391C2×C29—161no—
392C2×C29D4×D811yescharacteristic
3932−1+4—21no—
394H(5,𝔽2)—21no—
395H(5,𝔽2)—21no—
396H(5,𝔽2)—21no—
397#137—21no—
398#137—21no—
399#137—41no—
400#137—41no—
401AGL(1,ℤ/8)—21no—
402AGL(1,ℤ/8)—21no—
403AGL(1,ℤ/8)—21no—
404AGL(1,ℤ/8)—21no—
405AGL(1,ℤ/8)—21no—
406AGL(1,ℤ/8)—21no—
407AGL(1,ℤ/8)—41no—
408AGL(1,ℤ/8)—41no—
409AGL(1,ℤ/8)—41no—
410AGL(1,ℤ/8)—41no—
411AGL(1,ℤ/8)—41no—
412AGL(1,ℤ/8)—41no—
413#135—21no—
414#135—21no—
415#135—21no—
416#135—21no—
417#135—41no—
418#135—41no—
419#135D4×C2911yescharacteristic
420#135C23×C2911yescharacteristic
421#135C23×C2911yescharacteristic
422C2×Q16—21no—
423C2×Q16C23×C2911yescharacteristic
424C2×SD16—21no—
425C2×SD16—41no—
426C2×D8—21no—
427C2×D8—21no—
428C2×D8—21no—
429C2×D8—21no—
430C2×D8—41no—
431C2×D8C23×C2911yescharacteristic
432C2×D8C23×C2911yescharacteristic
433C2×D8C23×C2911yescharacteristic
434#131—21no—
435#131—21no—
436#131C23×C2911yescharacteristic
437#131C23×C2911yescharacteristic
438#127—21no—
439#124—21no—
440Q32—21no—
441Q32D4×C2911yescharacteristic, complemented
442SD32—21no—
443SD32—21no—
444SD32—21no—
445SD32—21no—
446SD32—21no—
447SD32—21no—
448SD32—41no—
449SD32D4×C2911yescharacteristic, complemented
450SD32D4×C2911yescharacteristic, complemented
451D16—21no—
452D16—21no—
453D16—21no—
454D16—21no—
455D16—21no—
456D16—41no—
457D16D4×C2911yescharacteristic, complemented
458M32—21no—
459M32—21no—
460M32C23×C2911yescharacteristic
461M32C23×C2911yescharacteristic
462C2×C16—21no—
463C2×C16—21no—
464C2×C16C23×C2911yescharacteristic
465C2×C16C23×C2911yescharacteristic
466#108D4×C2911yescharacteristic
467#108C23×C2911yescharacteristic
468#108C23×C2911yescharacteristic
469#104—21no—
470#104—21no—
471#104D4×C2911yescharacteristic
472#104D4×C2911yescharacteristic
473#101—21no—
474#100—21no—
475#100—21no—
476#100—21no—
477C4×C8C23×C2911yescharacteristic
478C29#3385411yescharacteristic, direct product factor, Sylow
479#41—21no—
480#41—21no—
481#41—41no—
482#41—41no—
483#41—41no—
484#41—41no—
485#41—41no—
486#41—41no—
487#41—41no—
488#41—41no—
489#41—81no—
490#41C2×D4×C2911yescharacteristic
491#41C2×D4×C2911yescharacteristic
492C2×Q8—21no—
493C2×Q8—41no—
494C2×Q8—41no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—41no—
499C2×D4—41no—
500C2×D4—41no—
501C2×D4—41no—
502C2×D4—41no—
503C2×D4—41no—
504C2×D4—81no—
505C2×D4—81no—
506C2×D4—81no—
507C2×D4—81no—
508Q16—21no—
509Q16—21no—
510Q16—41no—
511Q16—41no—
512Q16D8×C2911yescharacteristic
513Q16C2×D4×C2911yescharacteristic
514Q16C2×D4×C2911yescharacteristic
515SD16—21no—
516SD16—21no—
517SD16—41no—
518SD16—41no—
519SD16—41no—
520SD16—41no—
521SD16—41no—
522SD16—41no—
523SD16—41no—
524SD16—41no—
525SD16—41no—
526SD16—41no—
527SD16D8×C2911yescharacteristic
528SD16D8×C2911yescharacteristic
529D8—21no—
530D8—21no—
531D8—21no—
532D8—21no—
533D8—21no—
534D8—21no—
535D8—41no—
536D8—41no—
537D8—41no—
538D8—41no—
539D8—41no—
540D8—41no—
541D8—41no—
542D8—41no—
543D8D8×C2911yescharacteristic
544D8C2×D4×C2911yescharacteristic
545D8C2×D4×C2911yescharacteristic
546M16—21no—
547M16—21no—
548M16—21no—
549M16—21no—
550M16—41no—
551M16—41no—
552M16C2×D4×C2911yescharacteristic
553M16C2×D4×C2911yescharacteristic
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—41no—
557C2×C8—41no—
558C2×C8C2×D4×C2911yescharacteristic
559C2×C8C24×C2911yescharacteristic
560C22⋊C4—81no—
561C42C2×D4×C2911yescharacteristic
562C16—21no—
563C16—21no—
564C16—21no—
565C16C2×D4×C2911yescharacteristic
566C16C2×D4×C2911yescharacteristic
567C23—41no—
568C23—41no—
569C23—41no—
570C23—81no—
571C23—81no—
572C23—81no—
573Q8—21no—
574Q8—21no—
575Q8—41no—
576Q8—41no—
577Q8—81no—
578Q8C2×D8×C2911yescharacteristic
579Q8C2×D8×C2911yescharacteristic
580D4—21no—
581D4—21no—
582D4—21no—
583D4—21no—
584D4—41no—
585D4—41no—
586D4—41no—
587D4—41no—
588D4—41no—
589D4—41no—
590D4—41no—
591D4—41no—
592D4—81no—
593D4—81no—
594D4—81no—
595D4—81no—
596D4—81no—
597D4—81no—
598D4—81no—
599D4—162no—
600D4C2×D8×C2911yescharacteristic
601D4C2×D8×C2911yescharacteristic
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—81no—
609C2×C4—81no—
610C2×C4—81no—
611C2×C4—81no—
612C2×C4—81no—
613C2×C4C22×D4×C2911yescharacteristic
614C8—21no—
615C8—21no—
616C8—41no—
617C8—41no—
618C8C2×D8×C2911yescharacteristic
619C8C2×D8×C2911yescharacteristic
620C8C22×D4×C2911yescharacteristic
621C8C29×H(5,𝔽2)11yescharacteristic
622C22—21no—
623C22—21no—
624C22—41no—
625C22—41no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22—161no—
630C22—161no—
631C22—161no—
632C22—321no—
633C22—321no—
634C22—321no—
635C22C29×#57611yescharacteristic
636C4—21no—
637C4—21no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—81no—
642C4D42×C2911yescharacteristic
643C4C22×D8×C2911yescharacteristic
644C2—21no—
645C2—41no—
646C2—41no—
647C2—81no—
648C2—81no—
649C2—161no—
650C2—161no—
651C2—161no—
652C2D4×D8×C2911yescharacteristic
subgroupG/H
center, socleC2×C29D4×D8
commutator, Frattini, cosocleC2×C8C24×C29
LCSG ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C29 ◁ C2×C4×C29 ◁ C29×#443 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#3416C2semidirect
2. C29×#3415C2semidirect
3. C29×#3292C2semidirect
4. C29×#3290C2semidirect
5. C29×#2250C2semidirect
6. C29×#2223C2semidirect
7. C29×#2221C2semidirect
8. C29×#2213C2semidirect
9. C29×#2212C2semidirect
10. C29×#2194C2semidirect
11. C29×#2193C2semidirect
12. C29×#2192C2semidirect
13. C29×#2192C2semidirect
14. C29×#2179C2semidirect
15. C29×#2171C2semidirect
16. C29×#578C22semidirect
20. C29×#576C22semidirect
21. C29×#576C22semidirect
23. C29×#510C22semidirect
28. C29×#509C22semidirect
29. C29×#509C22semidirect
34. C2×C29×SD32C22semidirect
35. C2×C29×SD32C22semidirect
37. C2×C29×D16C22semidirect
38. C2×C29×D16C22semidirect
39. C29×#504C22semidirect
40. C29×#504C22semidirect
41. C29×#495C22semidirect
42. C29×#493C22semidirect
43. C29×#473C22semidirect
46. C29×#472C22semidirect
47. C29×#472C22semidirect
54. C29×#443C22semidirect
55. C29×#443C22semidirect
56. C29×#368C22semidirect
57. C29×#364C22semidirect
58. C29×#362C22semidirect
59. C29×#361C22semidirect
60. C29×#361C22semidirect
61. C29×#361C22semidirect
62. C29×#359C22semidirect
63. C29×#359C22semidirect
64. C29×#350C22semidirect
65. C29×#350C22semidirect
66. C29×#346C22semidirect
115. C29×Q32D4semidirect
123. C29×SD32D4semidirect
124. C29×SD32D4semidirect
131. C29×D16D4semidirect
240. #33854C29direct (N × H)
296. #3416C2×C29semidirect
297. #3415C2×C29semidirect
298. #3292C2×C29semidirect
299. #3290C2×C29semidirect
300. #2250C2×C29semidirect
301. #2223C2×C29semidirect
302. #2221C2×C29semidirect
303. #2213C2×C29semidirect
304. #2212C2×C29semidirect
305. #2194C2×C29semidirect
306. #2193C2×C29semidirect
307. #2192C2×C29semidirect
308. #2192C2×C29semidirect
309. #2179C2×C29semidirect
310. #2171C2×C29semidirect
333. #578C22×C29semidirect
337. #576C22×C29semidirect
338. #576C22×C29semidirect
340. #510C22×C29semidirect
345. #509C22×C29semidirect
346. #509C22×C29semidirect
351. C2×SD32C22×C29semidirect
352. C2×SD32C22×C29semidirect
354. C2×D16C22×C29semidirect
355. C2×D16C22×C29semidirect
356. #504C22×C29semidirect
357. #504C22×C29semidirect
358. #495C22×C29semidirect
359. #493C22×C29semidirect
360. #473C22×C29semidirect
363. #472C22×C29semidirect
364. #472C22×C29semidirect
371. #443C22×C29semidirect
372. #443C22×C29semidirect
373. #368C22×C29semidirect
374. #364C22×C29semidirect
375. #362C22×C29semidirect
376. #361C22×C29semidirect
377. #361C22×C29semidirect
378. #361C22×C29semidirect
379. #359C22×C29semidirect
380. #359C22×C29semidirect
381. #350C22×C29semidirect
382. #350C22×C29semidirect
383. #346C22×C29semidirect
441. Q32D4×C29semidirect
449. SD32D4×C29semidirect
450. SD32D4×C29semidirect
457. D16D4×C29semidirect
478. C29#33854direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#34162
C29×#34152
C29×#32922
C29×#32902
C29×#22502
C29×#22232
C29×#22212
C29×#22132
C29×#22122
C29×#21942
C29×#21932
C29×#21922
C29×#21792
C29×#21712
#3385429