Finite Group Databasebeta

← C29×#19461 #20314361

Subgroups — C29×#19461 #20314361

Order 7424.

696 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3207C211yesmaximal, characteristic, complemented
2C29×#3100C211yesmaximal, characteristic, complemented
3C29×#3036C211yesmaximal, characteristic, complemented
4C29×#2974C211yesmaximal, characteristic, complemented
5C29×#1701C211yesmaximal, characteristic, complemented
6C29×#1699C211yesmaximal, characteristic, complemented
7C29×#1687C211yesmaximal, characteristic, complemented
8C29×#1685C211yesmaximal, characteristic, complemented
9C29×#1681C211yesmaximal, characteristic, complemented
10C29×#1679C211yesmaximal, characteristic, complemented
11C29×#1667C211yesmaximal, characteristic, complemented
12C29×#1665C211yesmaximal, characteristic, complemented
13C29×#1574C211yesmaximal, characteristic, complemented
14C29×#1557C211yesmaximal, characteristic, complemented
15C29×#1553C211yesmaximal, characteristic, complemented
16C2×C29×AGL(1,ℤ/8)—21no—
17C29×#532C2211yescharacteristic
18C29×#532C2211yescharacteristic
19C2×C4×D4×C29C2211yescharacteristic
20C29×#493C2211yescharacteristic, complemented
21C29×#492C2211yescharacteristic, complemented
22C29×#487C2211yescharacteristic, complemented
23C29×#486C2211yescharacteristic, complemented
24C29×#480—21no—
25C29×#474C2211yescharacteristic
26C29×#474C2211yescharacteristic
27C29×#463—21no—
28C29×#463—21no—
29C29×#463—21no—
30C29×#463—21no—
31C29×#461C2211yescharacteristic
32C29×#461C2211yescharacteristic
33C29×#459C2211yescharacteristic
34C29×#459C2211yescharacteristic
35C29×#459C2211yescharacteristic
36C29×#459C2211yescharacteristic
37C29×#449—21no—
38C29×#449—21no—
39C29×#447—21no—
40C4×D8×C29—21no—
41C4×D8×C29—21no—
42C29×#436C2211yescharacteristic
43C29×#436C2211yescharacteristic
44C29×#435—21no—
45C29×#435—21no—
46C8×D4×C29C2211yescharacteristic
47C8×D4×C29C2211yescharacteristic
48C29×#432C2211yescharacteristic
49C29×#431C2211yescharacteristic
50C29×#431C2211yescharacteristic
51C29×#423C2211yescharacteristic
52C29×#417—21no—
53C29×#407—21no—
54C2×C29×C22⋊C8—21no—
55C29×#335C2211yescharacteristic, complemented
56C29×#335C2211yescharacteristic, complemented
57C29×#334C2211yescharacteristic, complemented
58C29×#334C2211yescharacteristic, complemented
59C29×#332C2211yescharacteristic, complemented
60C29×#332C2211yescharacteristic, complemented
61C29×#332C2211yescharacteristic, complemented
62C29×#332C2211yescharacteristic, complemented
63C29×#331C2211yescharacteristic, complemented
64C29×#331C2211yescharacteristic, complemented
65C29×#331C2211yescharacteristic, complemented
66C29×#331C2211yescharacteristic, complemented
67C2×#41×C29—21no—
68C2×#41×C29—21no—
69C22×D4×C29D411yescharacteristic
70C23×C4×C29—21no—
71C29×AGL(1,ℤ/8)—44no—
72C2×SD16×C29—21no—
73C2×SD16×C29—21no—
74C2×SD16×C29—21no—
75C2×SD16×C29—21no—
76C2×D8×C29—21no—
77C2×D8×C29—21no—
78C2×D8×C29—21no—
79C2×D8×C29—21no—
80C2×D8×C29—21no—
81C2×D8×C29—21no—
82C2×M16×C29—21no—
83C2×M16×C29—21no—
84C2×M16×C29—21no—
85C22×C8×C29—21no—
86C22×C8×C29—21no—
87C29×C4⋊Q8C2311yescharacteristic
88C29×C4⋊Q8C2311yescharacteristic
89C29×#127C2311yescharacteristic
90C29×#127C2311yescharacteristic
91C29×#124—21no—
92C29×#124—21no—
93C29×#121—21no—
94C29×#121—21no—
95C29×#121—21no—
96C29×#121—21no—
97C4×D4×C29—21no—
98C4×D4×C29—21no—
99C4×D4×C29—21no—
100C4×D4×C29—21no—
101C4×D4×C29—21no—
102C4×D4×C29—21no—
103C4×D4×C29D411yescharacteristic
104C4×D4×C29D411yescharacteristic
105C4×D4×C29C2311yescharacteristic
106C4×D4×C29C2311yescharacteristic
107C2×C4⋊C4×C29D411yescharacteristic
108C2×C22⋊C4×C29—21no—
109C2×C42×C29C2311yescharacteristic
110C29×#107—21no—
111C29×#107—21no—
112C29×C4⋊C8—21no—
113C29×C4⋊C8D411yescharacteristic
114C29×C4⋊C8D411yescharacteristic
115C29×C4⋊C8C2311yescharacteristic
116C29×C4⋊C8C2311yescharacteristic
117C29×C4⋊C8C2311yescharacteristic
118C29×C4⋊C8C2311yescharacteristic
119C29×C4⋊C8C2311yescharacteristic
120C29×C4⋊C8C2311yescharacteristic
121C29×#103—21no—
122C29×#103—21no—
123C29×#103—21no—
124C29×#103—21no—
125C29×#102—21no—
126C29×#102—21no—
127C29×#102—21no—
128C29×#102—21no—
129C29×#102—21no—
130C29×#102—21no—
131C29×#102—21no—
132C29×#102—21no—
133C29×C22⋊C8—21no—
134C29×C22⋊C8—21no—
135C29×C22⋊C8—21no—
136C29×C22⋊C8—21no—
137C29×C22⋊C8—21no—
138C29×C22⋊C8—21no—
139C29×C22⋊C8D411yescharacteristic
140C29×C22⋊C8D411yescharacteristic
141C29×#97—21no—
142C4×C8×C29—21no—
143C4×C8×C29C2311yescharacteristic
144C4×C8×C29C2311yescharacteristic
145C24×C29—21no—
146#41×C29—42no—
147#41×C29—42no—
148#41×C29—81no—
149#41×C29—81no—
150C2×Q8×C29—21no—
151C2×Q8×C29—21no—
152C2×D4×C29—22no—
153C2×D4×C29—21no—
154C2×D4×C29—21no—
155C2×D4×C29—21no—
156C2×D4×C29—21no—
157C2×D4×C29—21no—
158C2×D4×C29—21no—
159C2×D4×C29—21no—
160C2×D4×C29—41no—
161C2×D4×C29—41no—
162C2×D4×C29—41no—
163C2×D4×C29C2×D411yescharacteristic
164C2×D4×C29C2×D411yescharacteristic
165C22×C4×C29—21no—
166C22×C4×C29—21no—
167C22×C4×C29—21no—
168C22×C4×C29—21no—
169C22×C4×C29—21no—
170C22×C4×C29—41no—
171C22×C4×C29—41no—
172C22×C4×C29—81no—
173C22×C4×C29—81no—
174C22×C4×C29C2×D411yescharacteristic
175C22×C4×C29C2×D411yescharacteristic
176C22×C4×C29#4111yescharacteristic
177SD16×C29—42no—
178SD16×C29—42no—
179SD16×C29—81no—
180SD16×C29—81no—
181D8×C29—42no—
182D8×C29—42no—
183D8×C29—42no—
184D8×C29—42no—
185D8×C29—81no—
186D8×C29—81no—
187M16×C29—42no—
188M16×C29—81no—
189M16×C29—81no—
190C2×C8×C29—21no—
191C2×C8×C29—21no—
192C2×C8×C29—21no—
193C2×C8×C29—21no—
194C2×C8×C29—21no—
195C2×C8×C29—21no—
196C2×C8×C29—81no—
197C2×C8×C29—81no—
198C2×C8×C29C2×D411yescharacteristic
199C2×C8×C29C2×D411yescharacteristic
200C2×C8×C29C2×D411yescharacteristic
201C2×C8×C29C2×D411yescharacteristic
202C4⋊C4×C29—21no—
203C4⋊C4×C29—21no—
204C4⋊C4×C29—21no—
205C4⋊C4×C29—21no—
206C4⋊C4×C29—21no—
207C4⋊C4×C29C2×D411yescharacteristic
208C4⋊C4×C29C2×D411yescharacteristic
209C22⋊C4×C29—21no—
210C22⋊C4×C29—21no—
211C22⋊C4×C29—21no—
212C22⋊C4×C29—21no—
213C22⋊C4×C29—41no—
214C22⋊C4×C29—41no—
215C22⋊C4×C29—41no—
216C22⋊C4×C29—41no—
217C42×C29C2×D411yescharacteristic
218C42×C29C2×D411yescharacteristic
219C42×C29#4111yescharacteristic
220C42×C29C2411yescharacteristic
221#19461C2911yesmaximal, characteristic, direct product factor, Sylow
222C23×C29—21no—
223C23×C29—21no—
224C23×C29—42no—
225C23×C29—42no—
226C23×C29—41no—
227C23×C29—41no—
228C23×C29—81no—
229C23×C29#12111yescharacteristic
230Q8×C29—41no—
231Q8×C29—41no—
232Q8×C29—41no—
233Q8×C29—41no—
234D4×C29—21no—
235D4×C29—21no—
236D4×C29—21no—
237D4×C29—42no—
238D4×C29—41no—
239D4×C29—41no—
240D4×C29—41no—
241D4×C29—41no—
242D4×C29—41no—
243D4×C29—41no—
244D4×C29—41no—
245D4×C29—41no—
246D4×C29—81no—
247D4×C29—81no—
248D4×C29—82no—
249D4×C29—82no—
250D4×C29AGL(1,ℤ/8)12yes—
251C2×C4×C29—21no—
252C2×C4×C29—21no—
253C2×C4×C29—21no—
254C2×C4×C29—21no—
255C2×C4×C29—21no—
256C2×C4×C29—21no—
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—81no—
265C2×C4×C29—81no—
266C2×C4×C29—82no—
267C2×C4×C29—82no—
268C2×C4×C29—81no—
269C2×C4×C29#12111yescharacteristic
270C2×C4×C29#12111yescharacteristic
271C2×C4×C29#12111yescharacteristic
272C2×C4×C29C22×D411yescharacteristic
273C2×C4×C29C22×D411yescharacteristic
274C2×C4×C29C2×#4111yescharacteristic
275C8×C29—21no—
276C8×C29—21no—
277C8×C29—21no—
278C8×C29—21no—
279C8×C29—41no—
280C8×C29—41no—
281C8×C29—41no—
282C8×C29—41no—
283C8×C29—41no—
284C8×C29—41no—
285#3207C2×C2911yescharacteristic, complemented
286#3100C2×C2911yescharacteristic, complemented
287#3036C2×C2911yescharacteristic, complemented
288#2974C2×C2911yescharacteristic, complemented
289#1701C2×C2911yescharacteristic, complemented
290#1699C2×C2911yescharacteristic, complemented
291#1687C2×C2911yescharacteristic, complemented
292#1685C2×C2911yescharacteristic, complemented
293#1681C2×C2911yescharacteristic, complemented
294#1679C2×C2911yescharacteristic, complemented
295#1667C2×C2911yescharacteristic, complemented
296#1665C2×C2911yescharacteristic, complemented
297#1574C2×C2911yescharacteristic, complemented
298#1557C2×C2911yescharacteristic, complemented
299#1553C2×C2911yescharacteristic, complemented
300C22×C29—21no—
301C22×C29—21no—
302C22×C29—22no—
303C22×C29—21no—
304C22×C29—41no—
305C22×C29—41no—
306C22×C29—41no—
307C22×C29—41no—
308C22×C29—41no—
309C22×C29—84no—
310C22×C29—81no—
311C22×C29—81no—
312C22×C29—81no—
313C22×C29—81no—
314C22×C29—81no—
315C22×C29—81no—
316C22×C29C2×#12111yescharacteristic
317C4×C29—21no—
318C4×C29—21no—
319C4×C29—21no—
320C4×C29—21no—
321C4×C29—41no—
322C4×C29—41no—
323C4×C29—81no—
324C4×C29—81no—
325C4×C29C2×AGL(1,ℤ/8)11yescharacteristic
326C4×C29#57511yescharacteristic
327C4×C29#57611yescharacteristic
328C4×C29#57611yescharacteristic
329C2×AGL(1,ℤ/8)—21no—
330#532C22×C2911yescharacteristic
331#532C22×C2911yescharacteristic
332C2×C4×D4C22×C2911yescharacteristic
333#493C22×C2911yescharacteristic, complemented
334#492C22×C2911yescharacteristic, complemented
335#487C22×C2911yescharacteristic, complemented
336#486C22×C2911yescharacteristic, complemented
337#480—21no—
338#474C22×C2911yescharacteristic
339#474C22×C2911yescharacteristic
340#463—21no—
341#463—21no—
342#463—21no—
343#463—21no—
344#461C22×C2911yescharacteristic
345#461C22×C2911yescharacteristic
346#459C22×C2911yescharacteristic
347#459C22×C2911yescharacteristic
348#459C22×C2911yescharacteristic
349#459C22×C2911yescharacteristic
350#449—21no—
351#449—21no—
352#447—21no—
353C4×D8—21no—
354C4×D8—21no—
355#436C22×C2911yescharacteristic
356#436C22×C2911yescharacteristic
357#435—21no—
358#435—21no—
359C8×D4C22×C2911yescharacteristic
360C8×D4C22×C2911yescharacteristic
361#432C22×C2911yescharacteristic
362#431C22×C2911yescharacteristic
363#431C22×C2911yescharacteristic
364#423C22×C2911yescharacteristic
365#417—21no—
366#407—21no—
367C2×C22⋊C8—21no—
368#335C22×C2911yescharacteristic, complemented
369#335C22×C2911yescharacteristic, complemented
370#334C22×C2911yescharacteristic, complemented
371#334C22×C2911yescharacteristic, complemented
372#332C22×C2911yescharacteristic, complemented
373#332C22×C2911yescharacteristic, complemented
374#332C22×C2911yescharacteristic, complemented
375#332C22×C2911yescharacteristic, complemented
376#331C22×C2911yescharacteristic, complemented
377#331C22×C2911yescharacteristic, complemented
378#331C22×C2911yescharacteristic, complemented
379#331C22×C2911yescharacteristic, complemented
380C2×C29—41no—
381C2×C29—42no—
382C2×C29—81no—
383C2×C29—161no—
384C2×C29—161no—
385C2×C29#304111yescharacteristic
386C2×C29#305511yescharacteristic
387C2×C29#306711yescharacteristic
388C2×#41—21no—
389C2×#41—21no—
390C22×D4D4×C2911yescharacteristic
391C23×C4—21no—
392AGL(1,ℤ/8)—44no—
393C2×SD16—21no—
394C2×SD16—21no—
395C2×SD16—21no—
396C2×SD16—21no—
397C2×D8—21no—
398C2×D8—21no—
399C2×D8—21no—
400C2×D8—21no—
401C2×D8—21no—
402C2×D8—21no—
403C2×M16—21no—
404C2×M16—21no—
405C2×M16—21no—
406C22×C8—21no—
407C22×C8—21no—
408C4⋊Q8C23×C2911yescharacteristic
409C4⋊Q8C23×C2911yescharacteristic
410#127C23×C2911yescharacteristic
411#127C23×C2911yescharacteristic
412#124—21no—
413#124—21no—
414#121—21no—
415#121—21no—
416#121—21no—
417#121—21no—
418C4×D4—21no—
419C4×D4—21no—
420C4×D4—21no—
421C4×D4—21no—
422C4×D4—21no—
423C4×D4—21no—
424C4×D4D4×C2911yescharacteristic
425C4×D4D4×C2911yescharacteristic
426C4×D4C23×C2911yescharacteristic
427C4×D4C23×C2911yescharacteristic
428C2×C4⋊C4D4×C2911yescharacteristic
429C2×C22⋊C4—21no—
430C2×C42C23×C2911yescharacteristic
431#107—21no—
432#107—21no—
433C4⋊C8—21no—
434C4⋊C8D4×C2911yescharacteristic
435C4⋊C8D4×C2911yescharacteristic
436C4⋊C8C23×C2911yescharacteristic
437C4⋊C8C23×C2911yescharacteristic
438C4⋊C8C23×C2911yescharacteristic
439C4⋊C8C23×C2911yescharacteristic
440C4⋊C8C23×C2911yescharacteristic
441C4⋊C8C23×C2911yescharacteristic
442#103—21no—
443#103—21no—
444#103—21no—
445#103—21no—
446#102—21no—
447#102—21no—
448#102—21no—
449#102—21no—
450#102—21no—
451#102—21no—
452#102—21no—
453#102—21no—
454C22⋊C8—21no—
455C22⋊C8—21no—
456C22⋊C8—21no—
457C22⋊C8—21no—
458C22⋊C8—21no—
459C22⋊C8—21no—
460C22⋊C8D4×C2911yescharacteristic
461C22⋊C8D4×C2911yescharacteristic
462#97—21no—
463C4×C8—21no—
464C4×C8C23×C2911yescharacteristic
465C4×C8C23×C2911yescharacteristic
466C29#1946111yescharacteristic, direct product factor, Sylow
467C24—21no—
468#41—42no—
469#41—42no—
470#41—81no—
471#41—81no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×D4—22no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—41no—
483C2×D4—41no—
484C2×D4—41no—
485C2×D4C2×D4×C2911yescharacteristic
486C2×D4C2×D4×C2911yescharacteristic
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—41no—
493C22×C4—41no—
494C22×C4—81no—
495C22×C4—81no—
496C22×C4C2×D4×C2911yescharacteristic
497C22×C4C2×D4×C2911yescharacteristic
498C22×C4#41×C2911yescharacteristic
499SD16—42no—
500SD16—42no—
501SD16—81no—
502SD16—81no—
503D8—42no—
504D8—42no—
505D8—42no—
506D8—42no—
507D8—81no—
508D8—81no—
509M16—42no—
510M16—81no—
511M16—81no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—81no—
519C2×C8—81no—
520C2×C8C2×D4×C2911yescharacteristic
521C2×C8C2×D4×C2911yescharacteristic
522C2×C8C2×D4×C2911yescharacteristic
523C2×C8C2×D4×C2911yescharacteristic
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4C2×D4×C2911yescharacteristic
530C4⋊C4C2×D4×C2911yescharacteristic
531C22⋊C4—21no—
532C22⋊C4—21no—
533C22⋊C4—21no—
534C22⋊C4—21no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C22⋊C4—41no—
539C42C2×D4×C2911yescharacteristic
540C42C2×D4×C2911yescharacteristic
541C42#41×C2911yescharacteristic
542C42C24×C2911yescharacteristic
543C23—21no—
544C23—21no—
545C23—42no—
546C23—42no—
547C23—41no—
548C23—41no—
549C23—81no—
550C23C29×#12111yescharacteristic
551Q8—41no—
552Q8—41no—
553Q8—41no—
554Q8—41no—
555D4—21no—
556D4—21no—
557D4—21no—
558D4—42no—
559D4—41no—
560D4—41no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—81no—
568D4—81no—
569D4—82no—
570D4—82no—
571D4C29×AGL(1,ℤ/8)12yes—
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—81no—
586C2×C4—81no—
587C2×C4—82no—
588C2×C4—82no—
589C2×C4—81no—
590C2×C4C29×#12111yescharacteristic
591C2×C4C29×#12111yescharacteristic
592C2×C4C29×#12111yescharacteristic
593C2×C4C22×D4×C2911yescharacteristic
594C2×C4C22×D4×C2911yescharacteristic
595C2×C4C2×#41×C2911yescharacteristic
596C8—21no—
597C8—21no—
598C8—21no—
599C8—21no—
600C8—41no—
601C8—41no—
602C8—41no—
603C8—41no—
604C8—41no—
605C8—41no—
606C22—21no—
607C22—21no—
608C22—22no—
609C22—21no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22—84no—
616C22—81no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22C2×C29×#12111yescharacteristic
623C4—21no—
624C4—21no—
625C4—21no—
626C4—21no—
627C4—41no—
628C4—41no—
629C4—81no—
630C4—81no—
631C4C2×C29×AGL(1,ℤ/8)11yescharacteristic
632C4C29×#57511yescharacteristic
633C4C29×#57611yescharacteristic
634C4C29×#57611yescharacteristic
635C2—41no—
636C2—42no—
637C2—81no—
638C2—161no—
639C2—161no—
640C2C29×#304111yescharacteristic
641C2C29×#305511yescharacteristic
642C2C29×#306711yescharacteristic
subgroupG/H
center, socleC22×C29C2×#121
commutator, Frattini, cosocleC42C24×C29
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C29 ◁ C2×C42×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#3207C2semidirect
2. C29×#3100C2semidirect
3. C29×#3036C2semidirect
4. C29×#2974C2semidirect
5. C29×#1701C2semidirect
6. C29×#1699C2semidirect
7. C29×#1687C2semidirect
8. C29×#1685C2semidirect
9. C29×#1681C2semidirect
10. C29×#1679C2semidirect
11. C29×#1667C2semidirect
12. C29×#1665C2semidirect
13. C29×#1574C2semidirect
14. C29×#1557C2semidirect
15. C29×#1553C2semidirect
20. C29×#493C22semidirect
21. C29×#492C22semidirect
22. C29×#487C22semidirect
23. C29×#486C22semidirect
55. C29×#335C22semidirect
56. C29×#335C22semidirect
57. C29×#334C22semidirect
58. C29×#334C22semidirect
59. C29×#332C22semidirect
60. C29×#332C22semidirect
61. C29×#332C22semidirect
62. C29×#332C22semidirect
63. C29×#331C22semidirect
64. C29×#331C22semidirect
65. C29×#331C22semidirect
66. C29×#331C22semidirect
221. #19461C29direct (N × H)
285. #3207C2×C29semidirect
286. #3100C2×C29semidirect
287. #3036C2×C29semidirect
288. #2974C2×C29semidirect
289. #1701C2×C29semidirect
290. #1699C2×C29semidirect
291. #1687C2×C29semidirect
292. #1685C2×C29semidirect
293. #1681C2×C29semidirect
294. #1679C2×C29semidirect
295. #1667C2×C29semidirect
296. #1665C2×C29semidirect
297. #1574C2×C29semidirect
298. #1557C2×C29semidirect
299. #1553C2×C29semidirect
333. #493C22×C29semidirect
334. #492C22×C29semidirect
335. #487C22×C29semidirect
336. #486C22×C29semidirect
368. #335C22×C29semidirect
369. #335C22×C29semidirect
370. #334C22×C29semidirect
371. #334C22×C29semidirect
372. #332C22×C29semidirect
373. #332C22×C29semidirect
374. #332C22×C29semidirect
375. #332C22×C29semidirect
376. #331C22×C29semidirect
377. #331C22×C29semidirect
378. #331C22×C29semidirect
379. #331C22×C29semidirect
466. C29#19461direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#32072
C29×#31002
C29×#30362
C29×#29742
C29×#17012
C29×#16992
C29×#16872
C29×#16852
C29×#16812
C29×#16792
C29×#16672
C29×#16652
C29×#15742
C29×#15572
C29×#15532
#1946129