Finite Group Databasebeta

← C29×#19376 #20314276

Subgroups — C29×#19376 #20314276

Order 7424.

722 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3251C211yesmaximal, characteristic, complemented
2C29×#3217C211yesmaximal, characteristic, complemented
3C29×#3151C211yesmaximal, characteristic, complemented
4C29×#2969C211yesmaximal, characteristic, complemented
5C29×#1688C211yesmaximal, characteristic, complemented
6C29×#1687C211yesmaximal, characteristic, complemented
7C29×#1686C211yesmaximal, characteristic, complemented
8C29×#1685C211yesmaximal, characteristic, complemented
9C29×#1668C211yesmaximal, characteristic, complemented
10C29×#1667C211yesmaximal, characteristic, complemented
11C29×#1666C211yesmaximal, characteristic, complemented
12C29×#1665C211yesmaximal, characteristic, complemented
13C29×#1569C211yesmaximal, characteristic, complemented
14C29×#1553C211yesmaximal, characteristic, complemented
15C29×#1545C211yesmaximal, characteristic, complemented
16C2×C29×AGL(1,ℤ/8)—21no—
17C2×C29×AGL(1,ℤ/8)—21no—
18C29×#532C2211yescharacteristic
19C2×C29×#127C2211yescharacteristic
20C29×#529C2211yescharacteristic
21C29×#496—21no—
22C29×#496—21no—
23C29×#496—21no—
24C29×#493C2211yescharacteristic
25C29×#493C2211yescharacteristic
26C29×#492C2211yescharacteristic
27C29×#492C2211yescharacteristic
28C29×#490—21no—
29C29×#478—21no—
30C29×#475C2211yescharacteristic, complemented
31C29×#474C2211yescharacteristic, complemented
32C29×#469—21no—
33C29×#468—21no—
34C29×#463—21no—
35C29×#460C2211yescharacteristic
36C29×#460C2211yescharacteristic
37C29×#460C2211yescharacteristic, complemented
38C29×#459C2211yescharacteristic
39C29×#459C2211yescharacteristic
40C29×#459C2211yescharacteristic, complemented
41C29×#450—21no—
42C29×#447—21no—
43C29×#446C2211yescharacteristic, complemented
44C8×Q8×C29C2211yescharacteristic, complemented
45C29×#436—21no—
46C29×#436C2211yescharacteristic, complemented
47C29×#435—21no—
48C8×D4×C29C2211yescharacteristic, complemented
49C29×#433—21no—
50C29×#432C2211yescharacteristic
51C29×#431C2211yescharacteristic
52C29×#423C2211yescharacteristic
53C29×#405—21no—
54C4×M16×C29C2211yescharacteristic
55C29×#335C2211yescharacteristic, complemented
56C29×#335C2211yescharacteristic, complemented
57C29×#334C2211yescharacteristic, complemented
58C29×#334C2211yescharacteristic, complemented
59C29×#332C2211yescharacteristic, complemented
60C29×#332C2211yescharacteristic, complemented
61C29×#331C2211yescharacteristic
62C29×#331C2211yescharacteristic
63C29×#331C2211yescharacteristic
64C29×#331C2211yescharacteristic
65C29×#331C2211yescharacteristic, complemented
66C29×#331C2211yescharacteristic, complemented
67C2×#41×C29—21no—
68C22×D4×C29—21no—
69C22×D4×C29—21no—
70C22×D4×C29—21no—
71C29×AGL(1,ℤ/8)—44no—
72C29×AGL(1,ℤ/8)—44no—
73C2×SD16×C29—21no—
74C2×SD16×C29—21no—
75C2×SD16×C29—21no—
76C2×SD16×C29—21no—
77C2×SD16×C29—21no—
78C2×SD16×C29—21no—
79C2×SD16×C29—21no—
80C2×D8×C29—21no—
81C2×D8×C29—21no—
82C2×D8×C29—21no—
83C2×D8×C29—21no—
84C2×D8×C29—21no—
85C2×D8×C29—21no—
86C2×D8×C29—21no—
87C2×M16×C29—21no—
88C2×M16×C29—21no—
89C2×M16×C29D411yescharacteristic
90C2×M16×C29D411yescharacteristic
91C22×C8×C29—21no—
92C29×C4⋊Q8C2311yescharacteristic
93C29×#127—21no—
94C29×#127—21no—
95C29×#127—21no—
96C29×#127C2311yescharacteristic
97C29×#127C2311yescharacteristic
98C29×#127C2311yescharacteristic
99C29×#126—21no—
100C29×#125D411yescharacteristic
101C29×#124—21no—
102C29×#124D411yescharacteristic
103C29×#123—21no—
104C29×C22⋊Q8D411yescharacteristic
105C29×#121—21no—
106C29×#121—21no—
107C29×#121D411yescharacteristic
108C4×Q8×C29C2311yescharacteristic
109C4×D4×C29—21no—
110C4×D4×C29—21no—
111C4×D4×C29—21no—
112C4×D4×C29C2311yescharacteristic
113C29×#117—21no—
114C2×C42×C29C2311yescharacteristic
115C29×#107—21no—
116C29×#106—21no—
117C29×C4⋊C8—21no—
118C29×C4⋊C8—21no—
119C29×C4⋊C8—21no—
120C29×C4⋊C8C2311yescharacteristic
121C29×C4⋊C8C2311yescharacteristic
122C29×C4⋊C8C2311yescharacteristic
123C29×C4⋊C8C2311yescharacteristic
124C29×C4⋊C8C2311yescharacteristic
125C29×C4⋊C8C2311yescharacteristic
126C29×#103—21no—
127C29×#102—21no—
128C29×#102—21no—
129C29×#102—21no—
130C29×#102—21no—
131C29×#102—21no—
132C29×#102—21no—
133C29×#102—21no—
134C29×C22⋊C8—21no—
135C29×C22⋊C8—21no—
136C29×C22⋊C8—21no—
137C29×C22⋊C8—21no—
138C29×#97—21no—
139C29×#97—21no—
140C29×#97D411yescharacteristic
141C29×#97D411yescharacteristic
142C4×C8×C29—21no—
143C4×C8×C29—21no—
144C4×C8×C29C2311yescharacteristic
145C4×C8×C29C2311yescharacteristic
146C24×C29—41no—
147#41×C29—42no—
148#41×C29—42no—
149C2×Q8×C29—21no—
150C2×Q8×C29C2×D411yescharacteristic
151C2×D4×C29—21no—
152C2×D4×C29—21no—
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—21no—
161C2×D4×C29—42no—
162C2×D4×C29—42no—
163C2×D4×C29—41no—
164C2×D4×C29—41no—
165C2×D4×C29—41no—
166C2×D4×C29—41no—
167C2×D4×C29—81no—
168C2×D4×C29—81no—
169C2×D4×C29—82no—
170C2×D4×C29C2×D411yescharacteristic
171C22×C4×C29—21no—
172C22×C4×C29—41no—
173C22×C4×C29C2×D411yescharacteristic
174C22×C4×C29C2×D411yescharacteristic
175C22×C4×C29#4111yescharacteristic
176SD16×C29—42no—
177SD16×C29—42no—
178SD16×C29—42no—
179SD16×C29—42no—
180SD16×C29—81no—
181SD16×C29—81no—
182SD16×C29—81no—
183D8×C29—42no—
184D8×C29—42no—
185D8×C29—42no—
186D8×C29—42no—
187D8×C29—81no—
188D8×C29—81no—
189D8×C29—81no—
190M16×C29—22no—
191M16×C29—22no—
192M16×C29—42no—
193M16×C29—81no—
194C2×C8×C29—21no—
195C2×C8×C29—21no—
196C2×C8×C29—21no—
197C2×C8×C29—21no—
198C2×C8×C29—21no—
199C2×C8×C29—21no—
200C2×C8×C29—42no—
201C2×C8×C29C2×D411yescharacteristic
202C2×C8×C29C2×D411yescharacteristic
203C2×C8×C29C2×D411yescharacteristic
204C2×C8×C29C2×D411yescharacteristic
205C4⋊C4×C29—21no—
206C4⋊C4×C29—21no—
207C4⋊C4×C29—21no—
208C4⋊C4×C29—21no—
209C4⋊C4×C29—21no—
210C4⋊C4×C29—21no—
211C4⋊C4×C29C2×D411yescharacteristic
212C4⋊C4×C29C2×D411yescharacteristic
213C22⋊C4×C29—21no—
214C22⋊C4×C29—21no—
215C22⋊C4×C29—21no—
216C22⋊C4×C29—21no—
217C22⋊C4×C29—21no—
218C22⋊C4×C29—41no—
219C22⋊C4×C29—41no—
220C42×C29—21no—
221C42×C29C2×D411yescharacteristic
222C42×C29C2×D411yescharacteristic
223C42×C29#4111yescharacteristic
224C42×C29C2411yescharacteristic
225#19376C2911yesmaximal, characteristic, direct product factor, Sylow
226C23×C29—21no—
227C23×C29—41no—
228C23×C29—41no—
229C23×C29—41no—
230C23×C29—82no—
231C23×C29—82no—
232C23×C29—82no—
233C23×C29#12111yescharacteristic
234Q8×C29—21no—
235Q8×C29—21no—
236Q8×C29—41no—
237Q8×C29—41no—
238D4×C29—21no—
239D4×C29—21no—
240D4×C29—41no—
241D4×C29—41no—
242D4×C29—41no—
243D4×C29—41no—
244D4×C29—41no—
245D4×C29—41no—
246D4×C29—41no—
247D4×C29—41no—
248D4×C29—41no—
249D4×C29—41no—
250D4×C29—41no—
251D4×C29—41no—
252D4×C29—81no—
253D4×C29—81no—
254D4×C29—81no—
255D4×C29—82no—
256D4×C29—82no—
257D4×C29—82no—
258D4×C29—81no—
259D4×C29—82no—
260C2×C4×C29—21no—
261C2×C4×C29—21no—
262C2×C4×C29—21no—
263C2×C4×C29—21no—
264C2×C4×C29—21no—
265C2×C4×C29—21no—
266C2×C4×C29—21no—
267C2×C4×C29—41no—
268C2×C4×C29—41no—
269C2×C4×C29—41no—
270C2×C4×C29—41no—
271C2×C4×C29—82no—
272C2×C4×C29#12111yescharacteristic
273C2×C4×C29#12111yescharacteristic
274C2×C4×C29#12111yescharacteristic
275C2×C4×C29C22×D411yescharacteristic
276C2×C4×C29C22×D411yescharacteristic
277C2×C4×C29C2×#4111yescharacteristic
278C8×C29—21no—
279C8×C29—21no—
280C8×C29—41no—
281C8×C29—41no—
282C8×C29—41no—
283C8×C29—41no—
284C8×C29—41no—
285C8×C29—41no—
286C8×C29AGL(1,ℤ/8)12yes—
287C8×C29AGL(1,ℤ/8)12yes—
288#3251C2×C2911yescharacteristic, complemented
289#3217C2×C2911yescharacteristic, complemented
290#3151C2×C2911yescharacteristic, complemented
291#2969C2×C2911yescharacteristic, complemented
292#1688C2×C2911yescharacteristic, complemented
293#1687C2×C2911yescharacteristic, complemented
294#1686C2×C2911yescharacteristic, complemented
295#1685C2×C2911yescharacteristic, complemented
296#1668C2×C2911yescharacteristic, complemented
297#1667C2×C2911yescharacteristic, complemented
298#1666C2×C2911yescharacteristic, complemented
299#1665C2×C2911yescharacteristic, complemented
300#1569C2×C2911yescharacteristic, complemented
301#1553C2×C2911yescharacteristic, complemented
302#1545C2×C2911yescharacteristic, complemented
303C22×C29—21no—
304C22×C29—21no—
305C22×C29—21no—
306C22×C29—41no—
307C22×C29—41no—
308C22×C29—41no—
309C22×C29—81no—
310C22×C29—81no—
311C22×C29—81no—
312C22×C29—81no—
313C22×C29—81no—
314C22×C29—81no—
315C22×C29—81no—
316C22×C29—81no—
317C22×C29—81no—
318C22×C29—164no—
319C22×C29C2×#12111yescharacteristic
320C4×C29—21no—
321C4×C29—21no—
322C4×C29—21no—
323C4×C29—21no—
324C4×C29—41no—
325C4×C29—41no—
326C4×C29—41no—
327C4×C29—81no—
328C4×C29C2×AGL(1,ℤ/8)11yescharacteristic
329C4×C29C2×AGL(1,ℤ/8)11yescharacteristic
330C4×C29#57611yescharacteristic
331C4×C29#57711yescharacteristic
332C2×AGL(1,ℤ/8)—21no—
333C2×AGL(1,ℤ/8)—21no—
334#532C22×C2911yescharacteristic
335C2×#127C22×C2911yescharacteristic
336#529C22×C2911yescharacteristic
337#496—21no—
338#496—21no—
339#496—21no—
340#493C22×C2911yescharacteristic
341#493C22×C2911yescharacteristic
342#492C22×C2911yescharacteristic
343#492C22×C2911yescharacteristic
344#490—21no—
345#478—21no—
346#475C22×C2911yescharacteristic, complemented
347#474C22×C2911yescharacteristic, complemented
348#469—21no—
349#468—21no—
350#463—21no—
351#460C22×C2911yescharacteristic
352#460C22×C2911yescharacteristic
353#460C22×C2911yescharacteristic, complemented
354#459C22×C2911yescharacteristic
355#459C22×C2911yescharacteristic
356#459C22×C2911yescharacteristic, complemented
357#450—21no—
358#447—21no—
359#446C22×C2911yescharacteristic, complemented
360C8×Q8C22×C2911yescharacteristic, complemented
361#436—21no—
362#436C22×C2911yescharacteristic, complemented
363#435—21no—
364C8×D4C22×C2911yescharacteristic, complemented
365#433—21no—
366#432C22×C2911yescharacteristic
367#431C22×C2911yescharacteristic
368#423C22×C2911yescharacteristic
369#405—21no—
370C4×M16C22×C2911yescharacteristic
371#335C22×C2911yescharacteristic, complemented
372#335C22×C2911yescharacteristic, complemented
373#334C22×C2911yescharacteristic, complemented
374#334C22×C2911yescharacteristic, complemented
375#332C22×C2911yescharacteristic, complemented
376#332C22×C2911yescharacteristic, complemented
377#331C22×C2911yescharacteristic
378#331C22×C2911yescharacteristic
379#331C22×C2911yescharacteristic
380#331C22×C2911yescharacteristic
381#331C22×C2911yescharacteristic, complemented
382#331C22×C2911yescharacteristic, complemented
383C2×C29—41no—
384C2×C29—81no—
385C2×C29—161no—
386C2×C29—161no—
387C2×C29—161no—
388C2×C29#303811yescharacteristic
389C2×C29#306211yescharacteristic
390C2×C29#306811yescharacteristic
391C2×#41—21no—
392C22×D4—21no—
393C22×D4—21no—
394C22×D4—21no—
395AGL(1,ℤ/8)—44no—
396AGL(1,ℤ/8)—44no—
397C2×SD16—21no—
398C2×SD16—21no—
399C2×SD16—21no—
400C2×SD16—21no—
401C2×SD16—21no—
402C2×SD16—21no—
403C2×SD16—21no—
404C2×D8—21no—
405C2×D8—21no—
406C2×D8—21no—
407C2×D8—21no—
408C2×D8—21no—
409C2×D8—21no—
410C2×D8—21no—
411C2×M16—21no—
412C2×M16—21no—
413C2×M16D4×C2911yescharacteristic
414C2×M16D4×C2911yescharacteristic
415C22×C8—21no—
416C4⋊Q8C23×C2911yescharacteristic
417#127—21no—
418#127—21no—
419#127—21no—
420#127C23×C2911yescharacteristic
421#127C23×C2911yescharacteristic
422#127C23×C2911yescharacteristic
423#126—21no—
424#125D4×C2911yescharacteristic
425#124—21no—
426#124D4×C2911yescharacteristic
427#123—21no—
428C22⋊Q8D4×C2911yescharacteristic
429#121—21no—
430#121—21no—
431#121D4×C2911yescharacteristic
432C4×Q8C23×C2911yescharacteristic
433C4×D4—21no—
434C4×D4—21no—
435C4×D4—21no—
436C4×D4C23×C2911yescharacteristic
437#117—21no—
438C2×C42C23×C2911yescharacteristic
439#107—21no—
440#106—21no—
441C4⋊C8—21no—
442C4⋊C8—21no—
443C4⋊C8—21no—
444C4⋊C8C23×C2911yescharacteristic
445C4⋊C8C23×C2911yescharacteristic
446C4⋊C8C23×C2911yescharacteristic
447C4⋊C8C23×C2911yescharacteristic
448C4⋊C8C23×C2911yescharacteristic
449C4⋊C8C23×C2911yescharacteristic
450#103—21no—
451#102—21no—
452#102—21no—
453#102—21no—
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458C22⋊C8—21no—
459C22⋊C8—21no—
460C22⋊C8—21no—
461C22⋊C8—21no—
462#97—21no—
463#97—21no—
464#97D4×C2911yescharacteristic
465#97D4×C2911yescharacteristic
466C4×C8—21no—
467C4×C8—21no—
468C4×C8C23×C2911yescharacteristic
469C4×C8C23×C2911yescharacteristic
470C29#1937611yescharacteristic, direct product factor, Sylow
471C24—41no—
472#41—42no—
473#41—42no—
474C2×Q8—21no—
475C2×Q8C2×D4×C2911yescharacteristic
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—41no—
489C2×D4—41no—
490C2×D4—41no—
491C2×D4—41no—
492C2×D4—81no—
493C2×D4—81no—
494C2×D4—82no—
495C2×D4C2×D4×C2911yescharacteristic
496C22×C4—21no—
497C22×C4—41no—
498C22×C4C2×D4×C2911yescharacteristic
499C22×C4C2×D4×C2911yescharacteristic
500C22×C4#41×C2911yescharacteristic
501SD16—42no—
502SD16—42no—
503SD16—42no—
504SD16—42no—
505SD16—81no—
506SD16—81no—
507SD16—81no—
508D8—42no—
509D8—42no—
510D8—42no—
511D8—42no—
512D8—81no—
513D8—81no—
514D8—81no—
515M16—22no—
516M16—22no—
517M16—42no—
518M16—81no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—42no—
526C2×C8C2×D4×C2911yescharacteristic
527C2×C8C2×D4×C2911yescharacteristic
528C2×C8C2×D4×C2911yescharacteristic
529C2×C8C2×D4×C2911yescharacteristic
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4C2×D4×C2911yescharacteristic
537C4⋊C4C2×D4×C2911yescharacteristic
538C22⋊C4—21no—
539C22⋊C4—21no—
540C22⋊C4—21no—
541C22⋊C4—21no—
542C22⋊C4—21no—
543C22⋊C4—41no—
544C22⋊C4—41no—
545C42—21no—
546C42C2×D4×C2911yescharacteristic
547C42C2×D4×C2911yescharacteristic
548C42#41×C2911yescharacteristic
549C42C24×C2911yescharacteristic
550C23—21no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—82no—
555C23—82no—
556C23—82no—
557C23C29×#12111yescharacteristic
558Q8—21no—
559Q8—21no—
560Q8—41no—
561Q8—41no—
562D4—21no—
563D4—21no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—41no—
569D4—41no—
570D4—41no—
571D4—41no—
572D4—41no—
573D4—41no—
574D4—41no—
575D4—41no—
576D4—81no—
577D4—81no—
578D4—81no—
579D4—82no—
580D4—82no—
581D4—82no—
582D4—81no—
583D4—82no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—82no—
596C2×C4C29×#12111yescharacteristic
597C2×C4C29×#12111yescharacteristic
598C2×C4C29×#12111yescharacteristic
599C2×C4C22×D4×C2911yescharacteristic
600C2×C4C22×D4×C2911yescharacteristic
601C2×C4C2×#41×C2911yescharacteristic
602C8—21no—
603C8—21no—
604C8—41no—
605C8—41no—
606C8—41no—
607C8—41no—
608C8—41no—
609C8—41no—
610C8C29×AGL(1,ℤ/8)12yes—
611C8C29×AGL(1,ℤ/8)12yes—
612C22—21no—
613C22—21no—
614C22—21no—
615C22—41no—
616C22—41no—
617C22—41no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—164no—
628C22C2×C29×#12111yescharacteristic
629C4—21no—
630C4—21no—
631C4—21no—
632C4—21no—
633C4—41no—
634C4—41no—
635C4—41no—
636C4—81no—
637C4C2×C29×AGL(1,ℤ/8)11yescharacteristic
638C4C2×C29×AGL(1,ℤ/8)11yescharacteristic
639C4C29×#57611yescharacteristic
640C4C29×#57711yescharacteristic
641C2—41no—
642C2—81no—
643C2—161no—
644C2—161no—
645C2—161no—
646C2C29×#303811yescharacteristic
647C2C29×#306211yescharacteristic
648C2C29×#306811yescharacteristic
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×#3251C2semidirect
2. C29×#3217C2semidirect
3. C29×#3151C2semidirect
4. C29×#2969C2semidirect
5. C29×#1688C2semidirect
6. C29×#1687C2semidirect
7. C29×#1686C2semidirect
8. C29×#1685C2semidirect
9. C29×#1668C2semidirect
10. C29×#1667C2semidirect
11. C29×#1666C2semidirect
12. C29×#1665C2semidirect
13. C29×#1569C2semidirect
14. C29×#1553C2semidirect
15. C29×#1545C2semidirect
30. C29×#475C22semidirect
31. C29×#474C22semidirect
37. C29×#460C22semidirect
40. C29×#459C22semidirect
43. C29×#446C22semidirect
44. C8×Q8×C29C22semidirect
46. C29×#436C22semidirect
48. C8×D4×C29C22semidirect
55. C29×#335C22semidirect
56. C29×#335C22semidirect
57. C29×#334C22semidirect
58. C29×#334C22semidirect
59. C29×#332C22semidirect
60. C29×#332C22semidirect
65. C29×#331C22semidirect
66. C29×#331C22semidirect
225. #19376C29direct (N × H)
288. #3251C2×C29semidirect
289. #3217C2×C29semidirect
290. #3151C2×C29semidirect
291. #2969C2×C29semidirect
292. #1688C2×C29semidirect
293. #1687C2×C29semidirect
294. #1686C2×C29semidirect
295. #1685C2×C29semidirect
296. #1668C2×C29semidirect
297. #1667C2×C29semidirect
298. #1666C2×C29semidirect
299. #1665C2×C29semidirect
300. #1569C2×C29semidirect
301. #1553C2×C29semidirect
302. #1545C2×C29semidirect
346. #475C22×C29semidirect
347. #474C22×C29semidirect
353. #460C22×C29semidirect
356. #459C22×C29semidirect
359. #446C22×C29semidirect
360. C8×Q8C22×C29semidirect
362. #436C22×C29semidirect
364. C8×D4C22×C29semidirect
371. #335C22×C29semidirect
372. #335C22×C29semidirect
373. #334C22×C29semidirect
374. #334C22×C29semidirect
375. #332C22×C29semidirect
376. #332C22×C29semidirect
381. #331C22×C29semidirect
382. #331C22×C29semidirect
470. C29#19376direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#32512
C29×#32172
C29×#31512
C29×#29692
C29×#16882
C29×#16872
C29×#16862
C29×#16852
C29×#16682
C29×#16672
C29×#16662
C29×#16652
C29×#15692
C29×#15532
C29×#15452
#1937629