Finite Group Databasebeta

← C29×#25271 #20320171

Subgroups — C29×#25271 #20320171

Order 7424.

728 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3093C211yesmaximal, characteristic
2C2×C29×#485C211yesmaximal, characteristic, complemented
3C29×#3056C211yesmaximal, characteristic
4C29×#2933C211yesmaximal, characteristic
5C29×#2090C211yesmaximal, characteristic, complemented
6C29×#2078C211yesmaximal, characteristic, complemented
7C29×#2064C211yesmaximal, characteristic, complemented
8C29×#2052C211yesmaximal, characteristic, complemented
9C29×#1952C211yesmaximal, characteristic, complemented
10C29×#1930C211yesmaximal, characteristic, complemented
11C29×#1908C211yesmaximal, characteristic, complemented
12C29×#1901C211yesmaximal, characteristic, complemented
13C29×#1855C211yesmaximal, characteristic, complemented
14C29×#1815C211yesmaximal, characteristic, complemented
15C29×#1742C211yesmaximal, characteristic, complemented
16C2×C29×#137C2211yescharacteristic
17C2×C29×#131C2211yescharacteristic
18C22×M16×C29C2211yescharacteristic
19C22×M16×C29C2211yescharacteristic
20C29×#525C2211yescharacteristic
21C2×C29×C22⋊Q8C2211yescharacteristic
22C2×C29×#117C2211yescharacteristic
23C29×#485—21no—
24C29×#485—21no—
25C29×#485—21no—
26C29×#485—21no—
27C29×#485—21no—
28C29×#485—21no—
29C29×#482—21no—
30C29×#482—21no—
31C29×#470—21no—
32C29×#468—21no—
33C29×#467—21no—
34C29×#465—21no—
35C29×#436—21no—
36C29×#435—21no—
37C29×#435—21no—
38C8×D4×C29—21no—
39C2×C29×#108C2211yescharacteristic
40C2×C29×#108C2211yescharacteristic
41C29×#428C2211yescharacteristic
42C29×#428C2211yescharacteristic
43C29×#428C2211yescharacteristic
44C2×C29×#107C2211yescharacteristic
45C2×C29×#106C2211yescharacteristic
46C29×#424C2211yescharacteristic
47C29×#419C2211yescharacteristic
48C29×#417C2211yescharacteristic
49C29×#417C2211yescharacteristic
50C29×#417C2211yescharacteristic
51C2×C29×#103C2211yescharacteristic
52C2×C29×#103C2211yescharacteristic
53C2×C29×#101C2211yescharacteristic
54C2×C29×#101C2211yescharacteristic
55C29×#408C2211yescharacteristic
56C29×#407C2211yescharacteristic
57C2×C29×C22⋊C8C2211yescharacteristic
58C29×#405C2211yescharacteristic
59C29×#343C2211yescharacteristic
60C29×#343C2211yescharacteristic
61C29×#343C2211yescharacteristic
62C29×#343C2211yescharacteristic
63C29×#343C2211yescharacteristic
64C29×#343C2211yescharacteristic
65C29×#341C2211yescharacteristic
66C29×#341C2211yescharacteristic
67C2×#41×C29C2311yescharacteristic
68C22×Q8×C29C2311yescharacteristic
69C23×C4×C29C2311yescharacteristic
70C29×#137—22no—
71C29×#137—41no—
72C2×Q16×C29—21no—
73C2×SD16×C29—21no—
74C29×#131—22no—
75C29×#131—41no—
76C2×M16×C29—21no—
77C2×M16×C29—21no—
78C2×M16×C29—21no—
79C2×M16×C29—22no—
80C2×M16×C29—22no—
81C2×M16×C29—41no—
82C2×M16×C29—41no—
83C2×M16×C29C2311yescharacteristic
84C2×M16×C29C2311yescharacteristic
85C2×M16×C29C2311yescharacteristic
86C2×M16×C29C2311yescharacteristic
87C2×M16×C29C2311yescharacteristic
88C2×M16×C29C2311yescharacteristic
89C22×C8×C29—21no—
90C22×C8×C29—21no—
91C22×C8×C29—21no—
92C22×C8×C29C2311yescharacteristic
93C22×C8×C29C2311yescharacteristic
94C29×#123—21no—
95C29×C22⋊Q8—21no—
96C29×C22⋊Q8—21no—
97C29×C22⋊Q8—21no—
98C29×C22⋊Q8—21no—
99C29×C22⋊Q8D411yescharacteristic
100C29×C22⋊Q8D411yescharacteristic
101C29×#121D411yescharacteristic
102C29×#121D411yescharacteristic
103C29×#120—21no—
104C4×D4×C29—21no—
105C4×D4×C29—21no—
106C29×#117—21no—
107C29×#117—21no—
108C29×#117—21no—
109C29×#117—21no—
110C29×#117C2311yescharacteristic
111C2×C4⋊C4×C29—21no—
112C2×C4⋊C4×C29C2311yescharacteristic
113C2×C4⋊C4×C29C2311yescharacteristic
114C2×C4⋊C4×C29C2311yescharacteristic
115C2×C22⋊C4×C29—21no—
116C2×C22⋊C4×C29—21no—
117C2×C42×C29—21no—
118C29×#108—22no—
119C29×#108—41no—
120C29×#107—21no—
121C29×#107—21no—
122C29×#107—21no—
123C29×#107—21no—
124C29×#107—21no—
125C29×#106—21no—
126C29×#106—21no—
127C29×#106—21no—
128C29×#106—21no—
129C29×#106—21no—
130C29×C4⋊C8—21no—
131C29×C4⋊C8—21no—
132C29×#103—21no—
133C29×#103—21no—
134C29×#103—21no—
135C29×#103—21no—
136C29×#103—21no—
137C29×#103—21no—
138C29×#103—21no—
139C29×#103—21no—
140C29×#103—21no—
141C29×#102—21no—
142C29×#102—21no—
143C29×#102—21no—
144C29×#101—22no—
145C29×#101—41no—
146C29×C22⋊C8—21no—
147C29×C22⋊C8—21no—
148C29×C22⋊C8—21no—
149C29×C22⋊C8—21no—
150C29×C22⋊C8D411yescharacteristic
151C29×C22⋊C8D411yescharacteristic
152C29×C22⋊C8D411yescharacteristic
153C29×C22⋊C8D411yescharacteristic
154C29×#97—21no—
155C4×C8×C29—21no—
156C24×C29#4111yescharacteristic
157#41×C29—21no—
158#41×C29—21no—
159#41×C29—21no—
160#41×C29—21no—
161C2×Q8×C29—21no—
162C2×Q8×C29—21no—
163C2×Q8×C29—21no—
164C2×Q8×C29—21no—
165C2×Q8×C29—21no—
166C2×Q8×C29—21no—
167C2×Q8×C29C2×D411yescharacteristic
168C2×D4×C29—21no—
169C2×D4×C29—21no—
170C2×D4×C29—21no—
171C2×D4×C29C2×D411yescharacteristic
172C22×C4×C29—21no—
173C22×C4×C29—21no—
174C22×C4×C29—21no—
175C22×C4×C29—21no—
176C22×C4×C29—21no—
177C22×C4×C29—21no—
178C22×C4×C29—21no—
179C22×C4×C29—21no—
180C22×C4×C29—21no—
181C22×C4×C29C2×D411yescharacteristic
182C22×C4×C29C2×D411yescharacteristic
183C22×C4×C29C2×D411yescharacteristic
184C22×C4×C29C2×D411yescharacteristic
185C22×C4×C29#4111yescharacteristic
186C22×C4×C29C2411yescharacteristic
187Q16×C29—42no—
188SD16×C29—42no—
189M16×C29—21no—
190M16×C29—21no—
191M16×C29—21no—
192M16×C29—21no—
193M16×C29—21no—
194M16×C29—21no—
195M16×C29—21no—
196M16×C29—21no—
197M16×C29—21no—
198M16×C29—21no—
199M16×C29—42no—
200M16×C29—42no—
201M16×C29—42no—
202M16×C29#4112yes—
203M16×C29#4112yes—
204C2×C8×C29—21no—
205C2×C8×C29—21no—
206C2×C8×C29—21no—
207C2×C8×C29—21no—
208C2×C8×C29—21no—
209C2×C8×C29—21no—
210C2×C8×C29—21no—
211C2×C8×C29—21no—
212C2×C8×C29—21no—
213C2×C8×C29—21no—
214C2×C8×C29—42no—
215C2×C8×C29—42no—
216C2×C8×C29—42no—
217C2×C8×C29C2×D411yescharacteristic
218C2×C8×C29C2×D411yescharacteristic
219C2×C8×C29C2×D411yescharacteristic
220C2×C8×C29C2×D411yescharacteristic
221C4⋊C4×C29—21no—
222C4⋊C4×C29—21no—
223C4⋊C4×C29—21no—
224C4⋊C4×C29—21no—
225C4⋊C4×C29—21no—
226C4⋊C4×C29—21no—
227C4⋊C4×C29—21no—
228C4⋊C4×C29—21no—
229C4⋊C4×C29—41no—
230C4⋊C4×C29—41no—
231C4⋊C4×C29C2×D411yescharacteristic
232C4⋊C4×C29C2×D411yescharacteristic
233C22⋊C4×C29—21no—
234C22⋊C4×C29—21no—
235C22⋊C4×C29—21no—
236C22⋊C4×C29—21no—
237C22⋊C4×C29—21no—
238C22⋊C4×C29—41no—
239C22⋊C4×C29—41no—
240C22⋊C4×C29—41no—
241C22⋊C4×C29—41no—
242C42×C29—21no—
243C42×C29—41no—
244C42×C29—41no—
245#25271C2911yesmaximal, characteristic, direct product factor, Sylow
246C23×C29—21no—
247C23×C29—21no—
248C23×C29—21no—
249C23×C29—41no—
250C23×C29—41no—
251C23×C29#12111yescharacteristic
252C23×C29#12111yescharacteristic
253C23×C29C2×#4111yescharacteristic
254Q8×C29—21no—
255Q8×C29—21no—
256Q8×C29—41no—
257Q8×C29—41no—
258Q8×C29—41no—
259Q8×C29—41no—
260D4×C29—21no—
261D4×C29—21no—
262D4×C29—42no—
263D4×C29—41no—
264D4×C29—41no—
265D4×C29—81no—
266C2×C4×C29—21no—
267C2×C4×C29—21no—
268C2×C4×C29—21no—
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—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—41no—
287C2×C4×C29—81no—
288C2×C4×C29—81no—
289C2×C4×C29—81no—
290C2×C4×C29#12111yescharacteristic
291C2×C4×C29#12111yescharacteristic
292C2×C4×C29C22×D411yescharacteristic
293C2×C4×C29C22×D411yescharacteristic
294C2×C4×C29C2×#4111yescharacteristic
295C2×C4×C29C2×#4111yescharacteristic
296C2×C4×C29H(5,𝔽2)11yescharacteristic
297C2×C4×C292−1+411yescharacteristic
298C8×C29—21no—
299C8×C29—21no—
300C8×C29—22no—
301C8×C29—22no—
302C8×C29—21no—
303C8×C29—21no—
304C8×C29—41no—
305C8×C29—41no—
306C8×C29—41no—
307C8×C29—41no—
308#3093C2×C2911yescharacteristic
309C2×#485C2×C2911yescharacteristic, complemented
310#3056C2×C2911yescharacteristic
311#2933C2×C2911yescharacteristic
312#2090C2×C2911yescharacteristic, complemented
313#2078C2×C2911yescharacteristic, complemented
314#2064C2×C2911yescharacteristic, complemented
315#2052C2×C2911yescharacteristic, complemented
316#1952C2×C2911yescharacteristic, complemented
317#1930C2×C2911yescharacteristic, complemented
318#1908C2×C2911yescharacteristic, complemented
319#1901C2×C2911yescharacteristic, complemented
320#1855C2×C2911yescharacteristic, complemented
321#1815C2×C2911yescharacteristic, complemented
322#1742C2×C2911yescharacteristic, complemented
323C22×C29—21no—
324C22×C29—21no—
325C22×C29—21no—
326C22×C29—21no—
327C22×C29—21no—
328C22×C29—21no—
329C22×C29—21no—
330C22×C29—21no—
331C22×C29—41no—
332C22×C29—41no—
333C22×C29—41no—
334C22×C29—81no—
335C22×C29—81no—
336C22×C29C2×#12111yescharacteristic
337C22×C29#52911yescharacteristic
338C22×C29#53911yescharacteristic
339C4×C29—21no—
340C4×C29—21no—
341C4×C29—41no—
342C4×C29—41no—
343C4×C29—41no—
344C4×C29—81no—
345C4×C29—81no—
346C4×C29—81no—
347C4×C29—81no—
348C4×C29#54611yescharacteristic
349C4×C29#54611yescharacteristic
350C4×C29#54711yescharacteristic
351C4×C29#54711yescharacteristic
352C2×#137C22×C2911yescharacteristic
353C2×#131C22×C2911yescharacteristic
354C22×M16C22×C2911yescharacteristic
355C22×M16C22×C2911yescharacteristic
356#525C22×C2911yescharacteristic
357C2×C22⋊Q8C22×C2911yescharacteristic
358C2×#117C22×C2911yescharacteristic
359#485—21no—
360#485—21no—
361#485—21no—
362#485—21no—
363#485—21no—
364#485—21no—
365#482—21no—
366#482—21no—
367#470—21no—
368#468—21no—
369#467—21no—
370#465—21no—
371#436—21no—
372#435—21no—
373#435—21no—
374C8×D4—21no—
375C2×#108C22×C2911yescharacteristic
376C2×#108C22×C2911yescharacteristic
377#428C22×C2911yescharacteristic
378#428C22×C2911yescharacteristic
379#428C22×C2911yescharacteristic
380C2×#107C22×C2911yescharacteristic
381C2×#106C22×C2911yescharacteristic
382#424C22×C2911yescharacteristic
383#419C22×C2911yescharacteristic
384#417C22×C2911yescharacteristic
385#417C22×C2911yescharacteristic
386#417C22×C2911yescharacteristic
387C2×#103C22×C2911yescharacteristic
388C2×#103C22×C2911yescharacteristic
389C2×#101C22×C2911yescharacteristic
390C2×#101C22×C2911yescharacteristic
391#408C22×C2911yescharacteristic
392#407C22×C2911yescharacteristic
393C2×C22⋊C8C22×C2911yescharacteristic
394#405C22×C2911yescharacteristic
395#343C22×C2911yescharacteristic
396#343C22×C2911yescharacteristic
397#343C22×C2911yescharacteristic
398#343C22×C2911yescharacteristic
399#343C22×C2911yescharacteristic
400#343C22×C2911yescharacteristic
401#341C22×C2911yescharacteristic
402#341C22×C2911yescharacteristic
403C2×C29—21no—
404C2×C29—21no—
405C2×C29—41no—
406C2×C29—41no—
407C2×C29—81no—
408C2×C29#242511yescharacteristic
409C2×C29#306711yescharacteristic
410C2×C29#306911yescharacteristic
411C2×#41C23×C2911yescharacteristic
412C22×Q8C23×C2911yescharacteristic
413C23×C4C23×C2911yescharacteristic
414#137—22no—
415#137—41no—
416C2×Q16—21no—
417C2×SD16—21no—
418#131—22no—
419#131—41no—
420C2×M16—21no—
421C2×M16—21no—
422C2×M16—21no—
423C2×M16—22no—
424C2×M16—22no—
425C2×M16—41no—
426C2×M16—41no—
427C2×M16C23×C2911yescharacteristic
428C2×M16C23×C2911yescharacteristic
429C2×M16C23×C2911yescharacteristic
430C2×M16C23×C2911yescharacteristic
431C2×M16C23×C2911yescharacteristic
432C2×M16C23×C2911yescharacteristic
433C22×C8—21no—
434C22×C8—21no—
435C22×C8—21no—
436C22×C8C23×C2911yescharacteristic
437C22×C8C23×C2911yescharacteristic
438#123—21no—
439C22⋊Q8—21no—
440C22⋊Q8—21no—
441C22⋊Q8—21no—
442C22⋊Q8—21no—
443C22⋊Q8D4×C2911yescharacteristic
444C22⋊Q8D4×C2911yescharacteristic
445#121D4×C2911yescharacteristic
446#121D4×C2911yescharacteristic
447#120—21no—
448C4×D4—21no—
449C4×D4—21no—
450#117—21no—
451#117—21no—
452#117—21no—
453#117—21no—
454#117C23×C2911yescharacteristic
455C2×C4⋊C4—21no—
456C2×C4⋊C4C23×C2911yescharacteristic
457C2×C4⋊C4C23×C2911yescharacteristic
458C2×C4⋊C4C23×C2911yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C42—21no—
462#108—22no—
463#108—41no—
464#107—21no—
465#107—21no—
466#107—21no—
467#107—21no—
468#107—21no—
469#106—21no—
470#106—21no—
471#106—21no—
472#106—21no—
473#106—21no—
474C4⋊C8—21no—
475C4⋊C8—21no—
476#103—21no—
477#103—21no—
478#103—21no—
479#103—21no—
480#103—21no—
481#103—21no—
482#103—21no—
483#103—21no—
484#103—21no—
485#102—21no—
486#102—21no—
487#102—21no—
488#101—22no—
489#101—41no—
490C22⋊C8—21no—
491C22⋊C8—21no—
492C22⋊C8—21no—
493C22⋊C8—21no—
494C22⋊C8D4×C2911yescharacteristic
495C22⋊C8D4×C2911yescharacteristic
496C22⋊C8D4×C2911yescharacteristic
497C22⋊C8D4×C2911yescharacteristic
498#97—21no—
499C4×C8—21no—
500C29#2527111yescharacteristic, direct product factor, Sylow
501C24#41×C2911yescharacteristic
502#41—21no—
503#41—21no—
504#41—21no—
505#41—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8C2×D4×C2911yescharacteristic
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4C2×D4×C2911yescharacteristic
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4C2×D4×C2911yescharacteristic
527C22×C4C2×D4×C2911yescharacteristic
528C22×C4C2×D4×C2911yescharacteristic
529C22×C4C2×D4×C2911yescharacteristic
530C22×C4#41×C2911yescharacteristic
531C22×C4C24×C2911yescharacteristic
532Q16—42no—
533SD16—42no—
534M16—21no—
535M16—21no—
536M16—21no—
537M16—21no—
538M16—21no—
539M16—21no—
540M16—21no—
541M16—21no—
542M16—21no—
543M16—21no—
544M16—42no—
545M16—42no—
546M16—42no—
547M16#41×C2912yes—
548M16#41×C2912yes—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—42no—
560C2×C8—42no—
561C2×C8—42no—
562C2×C8C2×D4×C2911yescharacteristic
563C2×C8C2×D4×C2911yescharacteristic
564C2×C8C2×D4×C2911yescharacteristic
565C2×C8C2×D4×C2911yescharacteristic
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—41no—
575C4⋊C4—41no—
576C4⋊C4C2×D4×C2911yescharacteristic
577C4⋊C4C2×D4×C2911yescharacteristic
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—41no—
584C22⋊C4—41no—
585C22⋊C4—41no—
586C22⋊C4—41no—
587C42—21no—
588C42—41no—
589C42—41no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—41no—
594C23—41no—
595C23C29×#12111yescharacteristic
596C23C29×#12111yescharacteristic
597C23C2×#41×C2911yescharacteristic
598Q8—21no—
599Q8—21no—
600Q8—41no—
601Q8—41no—
602Q8—41no—
603Q8—41no—
604D4—21no—
605D4—21no—
606D4—42no—
607D4—41no—
608D4—41no—
609D4—81no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—81no—
632C2×C4—81no—
633C2×C4—81no—
634C2×C4C29×#12111yescharacteristic
635C2×C4C29×#12111yescharacteristic
636C2×C4C22×D4×C2911yescharacteristic
637C2×C4C22×D4×C2911yescharacteristic
638C2×C4C2×#41×C2911yescharacteristic
639C2×C4C2×#41×C2911yescharacteristic
640C2×C4C29×H(5,𝔽2)11yescharacteristic
641C2×C4C29×2−1+411yescharacteristic
642C8—21no—
643C8—21no—
644C8—22no—
645C8—22no—
646C8—21no—
647C8—21no—
648C8—41no—
649C8—41no—
650C8—41no—
651C8—41no—
652C22—21no—
653C22—21no—
654C22—21no—
655C22—21no—
656C22—21no—
657C22—21no—
658C22—21no—
659C22—21no—
660C22—41no—
661C22—41no—
662C22—41no—
663C22—81no—
664C22—81no—
665C22C2×C29×#12111yescharacteristic
666C22C29×#52911yescharacteristic
667C22C29×#53911yescharacteristic
668C4—21no—
669C4—21no—
670C4—41no—
671C4—41no—
672C4—41no—
673C4—81no—
674C4—81no—
675C4—81no—
676C4—81no—
677C4C29×#54611yescharacteristic
678C4C29×#54611yescharacteristic
679C4C29×#54711yescharacteristic
680C4C29×#54711yescharacteristic
681C2—21no—
682C2—21no—
683C2—41no—
684C2—41no—
685C2—81no—
686C2C29×#242511yescharacteristic
687C2C29×#306711yescharacteristic
688C2C29×#306911yescharacteristic
subgroupG/H
center, socleC22×C29C2×#121
commutator, Frattini, cosocleC22×C4C24×C29
prime radicalC29×#525C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C29 ◁ C23×C4×C29 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C29×#485C2semidirect
5. C29×#2090C2semidirect
6. C29×#2078C2semidirect
7. C29×#2064C2semidirect
8. C29×#2052C2semidirect
9. C29×#1952C2semidirect
10. C29×#1930C2semidirect
11. C29×#1908C2semidirect
12. C29×#1901C2semidirect
13. C29×#1855C2semidirect
14. C29×#1815C2semidirect
15. C29×#1742C2semidirect
245. #25271C29direct (N × H)
309. C2×#485C2×C29semidirect
312. #2090C2×C29semidirect
313. #2078C2×C29semidirect
314. #2064C2×C29semidirect
315. #2052C2×C29semidirect
316. #1952C2×C29semidirect
317. #1930C2×C29semidirect
318. #1908C2×C29semidirect
319. #1901C2×C29semidirect
320. #1855C2×C29semidirect
321. #1815C2×C29semidirect
322. #1742C2×C29semidirect
500. C29#25271direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#30932
C2×C29×#4852
C29×#30562
C29×#29332
C29×#20902
C29×#20782
C29×#20642
C29×#20522
C29×#19522
C29×#19302
C29×#19082
C29×#19012
C29×#18552
C29×#18152
C29×#17422
#2527129