Finite Group Databasebeta

← C29×#23049 #20317949

Subgroups — C29×#23049 #20317949

Order 7424.

866 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C29×#471C211yesmaximal, characteristic
2C29×#2949C211yesmaximal, characteristic, complemented
3C29×#2947C211yesmaximal, characteristic, complemented
4C29×#2946C211yesmaximal, characteristic
5C29×#2913C211yesmaximal, characteristic, complemented
6C29×#1973C211yesmaximal, characteristic, complemented
7C29×#1952C211yesmaximal, characteristic, complemented
8C29×#1931C211yesmaximal, characteristic, complemented
9C29×#1930C211yesmaximal, characteristic, complemented
10C29×#1883C211yesmaximal, characteristic
11C29×#1882C211yesmaximal, characteristic, complemented
12C29×#1857C211yesmaximal, characteristic, complemented
13C29×#1856C211yesmaximal, characteristic, complemented
14C29×#1773C211yesmaximal, characteristic, complemented
15C29×#1765C211yesmaximal, characteristic, complemented
16C2×C29×#137C2211yescharacteristic
17C2×C29×AGL(1,ℤ/8)C2211yescharacteristic
18C22×SD16×C29C2211yescharacteristic
19C2×C29×#131C2211yescharacteristic
20C29×#520C2211yescharacteristic
21C29×#520C2211yescharacteristic
22C29×#519C2211yescharacteristic
23C29×#518C2211yescharacteristic
24C29×#471C418yescomplemented
25C29×#442—21no—
26C29×#441—21no—
27C29×#440—21no—
28C29×#440—21no—
29C29×#440—21no—
30C29×#440—21no—
31C4×Q16×C29—21no—
32C4×SD16×C29—21no—
33C4×SD16×C29—21no—
34C4×SD16×C29—21no—
35C4×SD16×C29—21no—
36C4×D8×C29—21no—
37C2×C29×#108C2211yescharacteristic
38C29×#428—21no—
39C29×#428—21no—
40C29×#428C2211yescharacteristic
41C29×#428C2211yescharacteristic
42C29×#428C2211yescharacteristic
43C29×#428C2211yescharacteristic
44C29×#427—21no—
45C29×#427C2211yescharacteristic
46C2×C29×#107—21no—
47C2×C29×#107C2211yescharacteristic
48C2×C29×#104C2211yescharacteristic
49C29×#419C2211yescharacteristic
50C29×#418C2211yescharacteristic
51C29×#416C2211yescharacteristic
52C2×C29×#103C2211yescharacteristic
53C2×C29×#102C2211yescharacteristic
54C2×C29×#101C2211yescharacteristic
55C2×C29×#100C2211yescharacteristic
56C29×#405C2211yescharacteristic
57C29×#405C2211yescharacteristic
58C29×#405C2211yescharacteristic
59C2×C29×#97C2211yescharacteristic
60C29×#391C2211yescharacteristic
61C29×#390C2211yescharacteristic
62C29×#343C2211yescharacteristic
63C29×#343C2211yescharacteristic
64C29×#341C2211yescharacteristic
65C29×#339C2211yescharacteristic
66C29×#339C2211yescharacteristic
67C29×#339C2211yescharacteristic
68C2×#41×C29C2311yescharacteristic
69C22×Q8×C29C2311yescharacteristic
70C22×D4×C29C2311yescharacteristic
71C29×#137—22no—
72C29×#137C2×C414yescomplemented
73C29×AGL(1,ℤ/8)—22no—
74C29×AGL(1,ℤ/8)C2×C414yes—
75C2×Q16×C29—21no—
76C2×SD16×C29—21no—
77C2×SD16×C29—21no—
78C2×SD16×C29—21no—
79C2×SD16×C29—21no—
80C2×SD16×C29—22no—
81C2×SD16×C29C2×C414yescomplemented
82C2×D8×C29—21no—
83C29×#131—22no—
84C29×#131C2×C414yescomplemented
85C2×M16×C29—21no—
86C2×M16×C29C2311yescharacteristic
87C2×M16×C29C2311yescharacteristic
88C2×M16×C29C2311yescharacteristic
89C2×M16×C29C2311yescharacteristic
90C22×C8×C29—21no—
91C22×C8×C29C2311yescharacteristic
92C22×C8×C29C2311yescharacteristic
93C4×Q8×C29—21no—
94C4×Q8×C29—21no—
95C4×Q8×C29—21no—
96C4×Q8×C29—21no—
97C4×Q8×C29—21no—
98C4×Q8×C29—21no—
99C4×D4×C29—21no—
100C4×D4×C29—21no—
101C4×D4×C29—21no—
102C4×D4×C29—21no—
103C4×D4×C29—21no—
104C4×D4×C29—21no—
105C4×D4×C29—41no—
106C4×D4×C29—41no—
107C29×#117—21no—
108C29×#117—21no—
109C29×#117—41no—
110C29×#117C2311yescharacteristic
111C29×#117C2311yescharacteristic
112C29×#117C2311yescharacteristic
113C2×C4⋊C4×C29—21no—
114C2×C4⋊C4×C29—21no—
115C2×C4⋊C4×C29C2311yescharacteristic
116C2×C4⋊C4×C29C2311yescharacteristic
117C2×C22⋊C4×C29—41no—
118C2×C22⋊C4×C29—41no—
119C2×C42×C29C2311yescharacteristic
120C29×#108C2×C414yescomplemented
121C29×#107—21no—
122C29×#107—21no—
123C29×#107—21no—
124C29×#107—21no—
125C29×#107—21no—
126C29×#107—21no—
127C29×#107D411yescharacteristic
128C29×#107D411yescharacteristic
129C29×#106—21no—
130C29×#106—21no—
131C29×#106—21no—
132C29×#106—21no—
133C29×#106D411yescharacteristic
134C29×#106D411yescharacteristic
135C29×#104—22no—
136C29×#103—21no—
137C29×#103—21no—
138C29×#103—21no—
139C29×#103—21no—
140C29×#103D411yescharacteristic
141C29×#103D411yescharacteristic
142C29×#102—21no—
143C29×#102—21no—
144C29×#102—21no—
145C29×#102—21no—
146C29×#102D411yescharacteristic
147C29×#102D411yescharacteristic
148C29×#101C2×C414yescomplemented
149C29×#100C2×C414yescomplemented
150C29×#97—21no—
151C29×#97—21no—
152C29×#97—21no—
153C29×#97—22no—
154C4×C8×C29—21no—
155C4×C8×C29—21no—
156C4×C8×C29—21no—
157C29×#95—41no—
158C24×C29—21no—
159#41×C29—21no—
160#41×C29—21no—
161#41×C29C22×C412yes—
162#41×C29#4112yes—
163C2×Q8×C29—21no—
164C2×Q8×C29—21no—
165C2×Q8×C29—21no—
166C2×Q8×C29—21no—
167C2×Q8×C29—21no—
168C2×Q8×C29C22×C412yes—
169C2×Q8×C29C2×D411yescharacteristic
170C2×D4×C29—21no—
171C2×D4×C29—21no—
172C2×D4×C29—21no—
173C2×D4×C29—21no—
174C2×D4×C29—21no—
175C2×D4×C29—21no—
176C2×D4×C29C22×C412yes—
177C2×D4×C29C2×D411yescharacteristic
178C22×C4×C29—21no—
179C22×C4×C29—21no—
180C22×C4×C29—21no—
181C22×C4×C29—21no—
182C22×C4×C29—21no—
183C22×C4×C29—41no—
184C22×C4×C29—41no—
185C22×C4×C29—41no—
186C22×C4×C29—41no—
187C22×C4×C29C2411yescharacteristic
188Q16×C29—24no—
189SD16×C29—24no—
190SD16×C29—24no—
191SD16×C29—24no—
192SD16×C29—24no—
193D8×C29—24no—
194M16×C29—21no—
195M16×C29—21no—
196M16×C29—21no—
197M16×C29—24no—
198M16×C29—21no—
199M16×C29—21no—
200M16×C29C22×C412yes—
201M16×C29C22×C412yes—
202M16×C29C22×C412yes—
203C2×C8×C29—21no—
204C2×C8×C29—21no—
205C2×C8×C29—21no—
206C2×C8×C29—21no—
207C2×C8×C29—21no—
208C2×C8×C29—24no—
209C2×C8×C29—21no—
210C2×C8×C29C22×C412yes—
211C2×C8×C29C2×D411yescharacteristic
212C2×C8×C29C2×D411yescharacteristic
213C2×C8×C29C2×D411yescharacteristic
214C2×C8×C29C2×D411yescharacteristic
215C2×C8×C29#4112yes—
216C4⋊C4×C29—21no—
217C4⋊C4×C29—21no—
218C4⋊C4×C29—21no—
219C4⋊C4×C29—21no—
220C4⋊C4×C29—41no—
221C4⋊C4×C29—41no—
222C4⋊C4×C29—41no—
223C4⋊C4×C29—41no—
224C4⋊C4×C29C2×D411yescharacteristic
225C4⋊C4×C29C2×D411yescharacteristic
226C4⋊C4×C29C2×D411yescharacteristic
227C4⋊C4×C29C2×D411yescharacteristic
228C4⋊C4×C29C2×D411yescharacteristic
229C4⋊C4×C29C2×D411yescharacteristic
230C22⋊C4×C29—21no—
231C22⋊C4×C29—21no—
232C22⋊C4×C29—21no—
233C22⋊C4×C29—41no—
234C22⋊C4×C29—41no—
235C22⋊C4×C29—41no—
236C22⋊C4×C29—41no—
237C22⋊C4×C29—82no—
238C42×C29—21no—
239C42×C29—21no—
240C42×C29—21no—
241C42×C29—21no—
242C42×C29—21no—
243C42×C29—41no—
244C42×C29—41no—
245C42×C29—41no—
246C42×C29—41no—
247#23049C2911yesmaximal, characteristic, direct product factor, Sylow
248C23×C29—21no—
249C23×C29—22no—
250C23×C29—41no—
251C23×C29—41no—
252C23×C29—81no—
253C23×C29—81no—
254C23×C29H(5,𝔽2)11yescharacteristic
255Q8×C29—21no—
256Q8×C29—22no—
257Q8×C29—22no—
258Q8×C29—41no—
259Q8×C29—41no—
260Q8×C29C4×D412yes—
261D4×C29—22no—
262D4×C29—22no—
263D4×C29—22no—
264D4×C29—22no—
265D4×C29—21no—
266D4×C29—41no—
267D4×C29—41no—
268D4×C29C4×D412yes—
269C2×C4×C29—21no—
270C2×C4×C29—22no—
271C2×C4×C29—22no—
272C2×C4×C29—22no—
273C2×C4×C29—21no—
274C2×C4×C29—21no—
275C2×C4×C29—21no—
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—41no—
283C2×C4×C29—41no—
284C2×C4×C29—41no—
285C2×C4×C29—41no—
286C2×C4×C29—81no—
287C2×C4×C29—81no—
288C2×C4×C29—161no—
289C2×C4×C29—161no—
290C2×C4×C29—161no—
291C2×C4×C29—161no—
292C2×C4×C29C23×C411yescharacteristic
293C2×C4×C29C22×D411yescharacteristic
294C2×C4×C29C22×D411yescharacteristic
295C2×C4×C29C2×#4111yescharacteristic
296C2×C4×C29C2×#4111yescharacteristic
297C2×C4×C292−1+411yescharacteristic
298C8×C29—22no—
299C8×C29—22no—
300C8×C29—22no—
301C8×C29—21no—
302C8×C29—21no—
303C8×C29—41no—
304C8×C29C4×D412yes—
305C8×C29C4×D412yes—
306C2×#471C2×C2911yescharacteristic
307#2949C2×C2911yescharacteristic, complemented
308#2947C2×C2911yescharacteristic, complemented
309#2946C2×C2911yescharacteristic
310#2913C2×C2911yescharacteristic, complemented
311#1973C2×C2911yescharacteristic, complemented
312#1952C2×C2911yescharacteristic, complemented
313#1931C2×C2911yescharacteristic, complemented
314#1930C2×C2911yescharacteristic, complemented
315#1883C2×C2911yescharacteristic
316#1882C2×C2911yescharacteristic, complemented
317#1857C2×C2911yescharacteristic, complemented
318#1856C2×C2911yescharacteristic, complemented
319#1773C2×C2911yescharacteristic, complemented
320#1765C2×C2911yescharacteristic, complemented
321C22×C29—21no—
322C22×C29—21no—
323C22×C29—22no—
324C22×C29—41no—
325C22×C29—41no—
326C22×C29—42no—
327C22×C29—82no—
328C22×C29—81no—
329C22×C29—81no—
330C22×C29—161no—
331C22×C29#52011yescharacteristic
332C22×C29D4211yescharacteristic
333C22×C29#55311yescharacteristic
334C4×C29—22no—
335C4×C29—42no—
336C4×C29—41no—
337C4×C29—41no—
338C4×C29—41no—
339C4×C29—41no—
340C4×C29—41no—
341C4×C29—41no—
342C4×C29—81no—
343C4×C29—81no—
344C4×C29—81no—
345C4×C29C2×C4×D411yescharacteristic
346C4×C29C2×C4×D411yescharacteristic
347C4×C29#54711yescharacteristic
348C4×C29#54811yescharacteristic
349C2×#137C22×C2911yescharacteristic
350C2×AGL(1,ℤ/8)C22×C2911yescharacteristic
351C22×SD16C22×C2911yescharacteristic
352C2×#131C22×C2911yescharacteristic
353#520C22×C2911yescharacteristic
354#520C22×C2911yescharacteristic
355#519C22×C2911yescharacteristic
356#518C22×C2911yescharacteristic
357#471C4×C2918yescomplemented
358#442—21no—
359#441—21no—
360#440—21no—
361#440—21no—
362#440—21no—
363#440—21no—
364C4×Q16—21no—
365C4×SD16—21no—
366C4×SD16—21no—
367C4×SD16—21no—
368C4×SD16—21no—
369C4×D8—21no—
370C2×#108C22×C2911yescharacteristic
371#428—21no—
372#428—21no—
373#428C22×C2911yescharacteristic
374#428C22×C2911yescharacteristic
375#428C22×C2911yescharacteristic
376#428C22×C2911yescharacteristic
377#427—21no—
378#427C22×C2911yescharacteristic
379C2×#107—21no—
380C2×#107C22×C2911yescharacteristic
381C2×#104C22×C2911yescharacteristic
382#419C22×C2911yescharacteristic
383#418C22×C2911yescharacteristic
384#416C22×C2911yescharacteristic
385C2×#103C22×C2911yescharacteristic
386C2×#102C22×C2911yescharacteristic
387C2×#101C22×C2911yescharacteristic
388C2×#100C22×C2911yescharacteristic
389#405C22×C2911yescharacteristic
390#405C22×C2911yescharacteristic
391#405C22×C2911yescharacteristic
392C2×#97C22×C2911yescharacteristic
393#391C22×C2911yescharacteristic
394#390C22×C2911yescharacteristic
395#343C22×C2911yescharacteristic
396#343C22×C2911yescharacteristic
397#341C22×C2911yescharacteristic
398#339C22×C2911yescharacteristic
399#339C22×C2911yescharacteristic
400#339C22×C2911yescharacteristic
401C2×C29—21no—
402C2×C29—21no—
403C2×C29—42no—
404C2×C29—82no—
405C2×C29#236111yescharacteristic
406C2×C29#328811yescharacteristic
407C2×C29#328911yescharacteristic
408C2×#41C23×C2911yescharacteristic
409C22×Q8C23×C2911yescharacteristic
410C22×D4C23×C2911yescharacteristic
411#137—22no—
412#137C2×C4×C2914yescomplemented
413AGL(1,ℤ/8)—22no—
414AGL(1,ℤ/8)C2×C4×C2914yes—
415C2×Q16—21no—
416C2×SD16—21no—
417C2×SD16—21no—
418C2×SD16—21no—
419C2×SD16—21no—
420C2×SD16—22no—
421C2×SD16C2×C4×C2914yescomplemented
422C2×D8—21no—
423#131—22no—
424#131C2×C4×C2914yescomplemented
425C2×M16—21no—
426C2×M16C23×C2911yescharacteristic
427C2×M16C23×C2911yescharacteristic
428C2×M16C23×C2911yescharacteristic
429C2×M16C23×C2911yescharacteristic
430C22×C8—21no—
431C22×C8C23×C2911yescharacteristic
432C22×C8C23×C2911yescharacteristic
433C4×Q8—21no—
434C4×Q8—21no—
435C4×Q8—21no—
436C4×Q8—21no—
437C4×Q8—21no—
438C4×Q8—21no—
439C4×D4—21no—
440C4×D4—21no—
441C4×D4—21no—
442C4×D4—21no—
443C4×D4—21no—
444C4×D4—21no—
445C4×D4—41no—
446C4×D4—41no—
447#117—21no—
448#117—21no—
449#117—41no—
450#117C23×C2911yescharacteristic
451#117C23×C2911yescharacteristic
452#117C23×C2911yescharacteristic
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4C23×C2911yescharacteristic
456C2×C4⋊C4C23×C2911yescharacteristic
457C2×C22⋊C4—41no—
458C2×C22⋊C4—41no—
459C2×C42C23×C2911yescharacteristic
460#108C2×C4×C2914yescomplemented
461#107—21no—
462#107—21no—
463#107—21no—
464#107—21no—
465#107—21no—
466#107—21no—
467#107D4×C2911yescharacteristic
468#107D4×C2911yescharacteristic
469#106—21no—
470#106—21no—
471#106—21no—
472#106—21no—
473#106D4×C2911yescharacteristic
474#106D4×C2911yescharacteristic
475#104—22no—
476#103—21no—
477#103—21no—
478#103—21no—
479#103—21no—
480#103D4×C2911yescharacteristic
481#103D4×C2911yescharacteristic
482#102—21no—
483#102—21no—
484#102—21no—
485#102—21no—
486#102D4×C2911yescharacteristic
487#102D4×C2911yescharacteristic
488#101C2×C4×C2914yescomplemented
489#100C2×C4×C2914yescomplemented
490#97—21no—
491#97—21no—
492#97—21no—
493#97—22no—
494C4×C8—21no—
495C4×C8—21no—
496C4×C8—21no—
497#95—41no—
498C29#2304911yescharacteristic, direct product factor, Sylow
499C24—21no—
500#41—21no—
501#41—21no—
502#41C22×C4×C2912yes—
503#41#41×C2912yes—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8C22×C4×C2912yes—
510C2×Q8C2×D4×C2911yescharacteristic
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4C22×C4×C2912yes—
518C2×D4C2×D4×C2911yescharacteristic
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—41no—
525C22×C4—41no—
526C22×C4—41no—
527C22×C4—41no—
528C22×C4C24×C2911yescharacteristic
529Q16—24no—
530SD16—24no—
531SD16—24no—
532SD16—24no—
533SD16—24no—
534D8—24no—
535M16—21no—
536M16—21no—
537M16—21no—
538M16—24no—
539M16—21no—
540M16—21no—
541M16C22×C4×C2912yes—
542M16C22×C4×C2912yes—
543M16C22×C4×C2912yes—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—24no—
550C2×C8—21no—
551C2×C8C22×C4×C2912yes—
552C2×C8C2×D4×C2911yescharacteristic
553C2×C8C2×D4×C2911yescharacteristic
554C2×C8C2×D4×C2911yescharacteristic
555C2×C8C2×D4×C2911yescharacteristic
556C2×C8#41×C2912yes—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—41no—
562C4⋊C4—41no—
563C4⋊C4—41no—
564C4⋊C4—41no—
565C4⋊C4C2×D4×C2911yescharacteristic
566C4⋊C4C2×D4×C2911yescharacteristic
567C4⋊C4C2×D4×C2911yescharacteristic
568C4⋊C4C2×D4×C2911yescharacteristic
569C4⋊C4C2×D4×C2911yescharacteristic
570C4⋊C4C2×D4×C2911yescharacteristic
571C22⋊C4—21no—
572C22⋊C4—21no—
573C22⋊C4—21no—
574C22⋊C4—41no—
575C22⋊C4—41no—
576C22⋊C4—41no—
577C22⋊C4—41no—
578C22⋊C4—82no—
579C42—21no—
580C42—21no—
581C42—21no—
582C42—21no—
583C42—21no—
584C42—41no—
585C42—41no—
586C42—41no—
587C42—41no—
588C23—21no—
589C23—22no—
590C23—41no—
591C23—41no—
592C23—81no—
593C23—81no—
594C23C29×H(5,𝔽2)11yescharacteristic
595Q8—21no—
596Q8—22no—
597Q8—22no—
598Q8—41no—
599Q8—41no—
600Q8C4×D4×C2912yes—
601D4—22no—
602D4—22no—
603D4—22no—
604D4—22no—
605D4—21no—
606D4—41no—
607D4—41no—
608D4C4×D4×C2912yes—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—81no—
627C2×C4—81no—
628C2×C4—161no—
629C2×C4—161no—
630C2×C4—161no—
631C2×C4—161no—
632C2×C4C23×C4×C2911yescharacteristic
633C2×C4C22×D4×C2911yescharacteristic
634C2×C4C22×D4×C2911yescharacteristic
635C2×C4C2×#41×C2911yescharacteristic
636C2×C4C2×#41×C2911yescharacteristic
637C2×C4C29×2−1+411yescharacteristic
638C8—22no—
639C8—22no—
640C8—22no—
641C8—21no—
642C8—21no—
643C8—41no—
644C8C4×D4×C2912yes—
645C8C4×D4×C2912yes—
646C22—21no—
647C22—21no—
648C22—22no—
649C22—41no—
650C22—41no—
651C22—42no—
652C22—82no—
653C22—81no—
654C22—81no—
655C22—161no—
656C22C29×#52011yescharacteristic
657C22D42×C2911yescharacteristic
658C22C29×#55311yescharacteristic
659C4—22no—
660C4—41no—
661C4—41no—
662C4—41no—
663C4—41no—
664C4—41no—
665C4—41no—
666C4—42no—
667C4—81no—
668C4—81no—
669C4—81no—
670C4C2×C4×D4×C2911yescharacteristic
671C4C2×C4×D4×C2911yescharacteristic
672C4C29×#54711yescharacteristic
673C4C29×#54811yescharacteristic
674C2—21no—
675C2—21no—
676C2—42no—
677C2—82no—
678C2C29×#236111yescharacteristic
679C2C29×#328811yescharacteristic
680C2C29×#328911yescharacteristic
subgroupG/H
center, socleC22×C29D42
commutatorC2×C4C23×C4×C29
Frattini, cosocleC22×C4C24×C29
prime radicalC2×C29×AGL(1,ℤ/8)C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C29 ◁ C22×C4×C29 ◁ G

Complements

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

NH ≅ G/Ntype
2. C29×#2949C2semidirect
3. C29×#2947C2semidirect
5. C29×#2913C2semidirect
6. C29×#1973C2semidirect
7. C29×#1952C2semidirect
8. C29×#1931C2semidirect
9. C29×#1930C2semidirect
11. C29×#1882C2semidirect
12. C29×#1857C2semidirect
13. C29×#1856C2semidirect
14. C29×#1773C2semidirect
15. C29×#1765C2semidirect
24. C29×#471C4semidirect
72. C29×#137C2×C4semidirect
81. C2×SD16×C29C2×C4semidirect
84. C29×#131C2×C4semidirect
120. C29×#108C2×C4semidirect
148. C29×#101C2×C4semidirect
149. C29×#100C2×C4semidirect
247. #23049C29direct (N × H)
307. #2949C2×C29semidirect
308. #2947C2×C29semidirect
310. #2913C2×C29semidirect
311. #1973C2×C29semidirect
312. #1952C2×C29semidirect
313. #1931C2×C29semidirect
314. #1930C2×C29semidirect
316. #1882C2×C29semidirect
317. #1857C2×C29semidirect
318. #1856C2×C29semidirect
319. #1773C2×C29semidirect
320. #1765C2×C29semidirect
357. #471C4×C29semidirect
412. #137C2×C4×C29semidirect
421. C2×SD16C2×C4×C29semidirect
424. #131C2×C4×C29semidirect
460. #108C2×C4×C29semidirect
488. #101C2×C4×C29semidirect
489. #100C2×C4×C29semidirect
498. C29#23049direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C29×#4712
C29×#29492
C29×#29472
C29×#29462
C29×#29132
C29×#19732
C29×#19522
C29×#19312
C29×#19302
C29×#18832
C29×#18822
C29×#18572
C29×#18562
C29×#17732
C29×#17652
#2304929