Finite Group Databasebeta

← C29×#19788 #20314688

Subgroups — C29×#19788 #20314688

Order 7424.

704 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3366C211yesmaximal, characteristic, complemented
2C29×#3295C211yesmaximal, characteristic, complemented
3C29×#3294C211yesmaximal, characteristic, complemented
4C29×#3284C211yesmaximal, characteristic, complemented
5C29×#1717C211yesmaximal, characteristic, complemented
6C29×#1702C211yesmaximal, characteristic, complemented
7C29×#1677C211yesmaximal, characteristic, complemented
8C29×#1677C211yesmaximal, characteristic, complemented
9C29×#1665C211yesmaximal, characteristic, complemented
10C29×#1644C211yesmaximal, characteristic, complemented
11C29×#1635C211yesmaximal, characteristic, complemented
12C29×#1621C211yesmaximal, characteristic, complemented
13C29×#1619C211yesmaximal, characteristic, complemented
14C29×#1582C211yesmaximal, characteristic, complemented
15C29×#1580C211yesmaximal, characteristic, complemented
16C2×C29×#135—21no—
17C29×#554C2211yescharacteristic
18C29×#550C2211yescharacteristic, complemented
19C29×#547C2211yescharacteristic
20D42×C29C2211yescharacteristic
21C29×#493C2211yescharacteristic
22C29×#492C2211yescharacteristic, complemented
23C29×#490—21no—
24C29×#487C2211yescharacteristic, complemented
25C29×#486C2211yescharacteristic
26C29×#486C2211yescharacteristic
27C29×#486C2211yescharacteristic, complemented
28C29×#481—21no—
29C29×#480—21no—
30C29×#478—21no—
31C29×#476C2211yescharacteristic
32C29×#476C2211yescharacteristic, complemented
33C29×#474C2211yescharacteristic
34C29×#466—21no—
35C29×#465—21no—
36C29×#465—21no—
37C29×#462C2211yescharacteristic, complemented
38C29×#460C2211yescharacteristic
39C29×#459—21no—
40C29×#459C2211yescharacteristic
41C29×#459C2211yescharacteristic
42C29×#459C2211yescharacteristic
43C29×#452—21no—
44C29×#450—21no—
45C29×#449—21no—
46C29×#447—21no—
47C29×#446C2211yescharacteristic, complemented
48C29×#442—21no—
49C4×SD16×C29C2211yescharacteristic
50C4×D8×C29C2211yescharacteristic
51C8×D4×C29C2211yescharacteristic
52C8×D4×C29C2211yescharacteristic
53C8×D4×C29C2211yescharacteristic, complemented
54C2×C29×#102—21no—
55C2×C29×#102—21no—
56C29×#334C2211yescharacteristic, complemented
57C29×#334C2211yescharacteristic, complemented
58C29×#333C2211yescharacteristic, complemented
59C29×#332C2211yescharacteristic, complemented
60C29×#331C2211yescharacteristic
61C29×#331C2211yescharacteristic, complemented
62C29×Q8⋊C8C2211yescharacteristic, complemented
63C29×D4⋊C8C2211yescharacteristic
64C29×D4⋊C8C2211yescharacteristic
65C29×D4⋊C8C2211yescharacteristic, complemented
66C29×#322C2211yescharacteristic, complemented
67C2×#41×C29—21no—
68C2×#41×C29—21no—
69C22×D4×C29—21no—
70C22×D4×C29—21no—
71C29×#135—44no—
72C2×Q16×C29—21no—
73C2×SD16×C29—21no—
74C2×SD16×C29—21no—
75C2×SD16×C29—21no—
76C2×SD16×C29D411yescharacteristic
77C2×D8×C29—21no—
78C2×D8×C29—21no—
79C2×D8×C29—21no—
80C2×D8×C29—41no—
81C2×D8×C29D411yescharacteristic
82C22×C8×C29—21no—
83C22×C8×C29—21no—
84C22×C8×C29—21no—
85C29×C4⋊Q8C2311yescharacteristic
86C29×C4⋊Q8C2311yescharacteristic
87C29×#127—21no—
88C29×#127C2311yescharacteristic
89C29×#127C2311yescharacteristic
90C29×#125—21no—
91C29×#123—41no—
92C29×C22⋊Q8—21no—
93C29×C22⋊Q8—21no—
94C29×C22⋊Q8—41no—
95C29×#121—21no—
96C29×#121—21no—
97C29×#121—21no—
98C29×#121—21no—
99C29×#121—41no—
100C29×#120—41no—
101C4×Q8×C29C2311yescharacteristic
102C4×D4×C29—21no—
103C4×D4×C29—21no—
104C4×D4×C29C2311yescharacteristic
105C4×D4×C29C2311yescharacteristic
106C4×D4×C29C2311yescharacteristic
107C2×C4⋊C4×C29—21no—
108C2×C4⋊C4×C29—21no—
109C29×#107—21no—
110C29×#107D411yescharacteristic
111C29×#106—21no—
112C29×#106—21no—
113C29×#106D411yescharacteristic
114C29×C4⋊C8—21no—
115C29×C4⋊C8C2311yescharacteristic
116C29×C4⋊C8C2311yescharacteristic
117C29×C4⋊C8C2311yescharacteristic
118C29×C4⋊C8C2311yescharacteristic
119C29×#103—21no—
120C29×#103—41no—
121C29×#103D411yescharacteristic
122C29×#102—21no—
123C29×#102—21no—
124C29×#102—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×#102—21no—
134C29×#102—21no—
135C29×#102D411yescharacteristic
136C29×#102D411yescharacteristic
137C29×#102D411yescharacteristic
138C29×C22⋊C8—21no—
139C29×C22⋊C8—21no—
140C29×C22⋊C8—21no—
141C29×#97—21no—
142C4×C8×C29C2311yescharacteristic
143C4×C8×C29C2311yescharacteristic
144C4×C8×C29C2311yescharacteristic
145C24×C29—41no—
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×Q8×C29C2×D411yescharacteristic
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—41no—
160C2×D4×C29—41no—
161C2×D4×C29—41no—
162C2×D4×C29—41no—
163C2×D4×C29—42no—
164C2×D4×C29—42no—
165C2×D4×C29—41no—
166C2×D4×C29—81no—
167C2×D4×C29—81no—
168C2×D4×C29C2×D411yescharacteristic
169C2×D4×C29C2×D411yescharacteristic
170C2×D4×C29C2×D411yescharacteristic
171C22×C4×C29—21no—
172C22×C4×C29—21no—
173C22×C4×C29—21no—
174C22×C4×C29—41no—
175C22×C4×C29—41no—
176C22×C4×C29—41no—
177Q16×C29—42no—
178SD16×C29—22no—
179SD16×C29—42no—
180SD16×C29—81no—
181SD16×C29—81no—
182D8×C29—22no—
183D8×C29—42no—
184D8×C29—42no—
185D8×C29—81no—
186D8×C29—82no—
187C2×C8×C29—21no—
188C2×C8×C29—21no—
189C2×C8×C29—21no—
190C2×C8×C29—21no—
191C2×C8×C29—21no—
192C2×C8×C29—42no—
193C2×C8×C29—81no—
194C2×C8×C29—81no—
195C2×C8×C29C2×D411yescharacteristic
196C2×C8×C29C2×D411yescharacteristic
197C2×C8×C29C2×D411yescharacteristic
198C2×C8×C29C2×D411yescharacteristic
199C4⋊C4×C29—21no—
200C4⋊C4×C29—21no—
201C4⋊C4×C29—21no—
202C4⋊C4×C29—21no—
203C4⋊C4×C29—21no—
204C4⋊C4×C29—41no—
205C4⋊C4×C29—41no—
206C4⋊C4×C29—41no—
207C4⋊C4×C29C2×D411yescharacteristic
208C4⋊C4×C29C2×D411yescharacteristic
209C4⋊C4×C29C2×D411yescharacteristic
210C4⋊C4×C29C2×D411yescharacteristic
211C22⋊C4×C29—21no—
212C22⋊C4×C29—21no—
213C22⋊C4×C29—21no—
214C22⋊C4×C29—41no—
215C22⋊C4×C29—41no—
216C22⋊C4×C29—41no—
217C22⋊C4×C29—41no—
218C42×C29—21no—
219C42×C29C2411yescharacteristic
220#19788C2911yesmaximal, characteristic, direct product factor, Sylow
221C23×C29—21no—
222C23×C29—21no—
223C23×C29—21no—
224C23×C29—41no—
225C23×C29—41no—
226C23×C29—82no—
227C23×C29—82no—
228C23×C29—161no—
229Q8×C29—21no—
230Q8×C29—21no—
231Q8×C29—41no—
232Q8×C29—41no—
233Q8×C29—81no—
234D4×C29—21no—
235D4×C29—21no—
236D4×C29—21no—
237D4×C29—21no—
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×C29—82no—
251D4×C29—82no—
252D4×C29—161no—
253D4×C29#13512yescomplemented
254D4×C29AGL(1,ℤ/8)12yes—
255C2×C4×C29—21no—
256C2×C4×C29—21no—
257C2×C4×C29—21no—
258C2×C4×C29—21no—
259C2×C4×C29—21no—
260C2×C4×C29—41no—
261C2×C4×C29—41no—
262C2×C4×C29—41no—
263C2×C4×C29—41no—
264C2×C4×C29—41no—
265C2×C4×C29—41no—
266C2×C4×C29—41no—
267C2×C4×C29—41no—
268C2×C4×C29—82no—
269C2×C4×C29—82no—
270C2×C4×C29—161no—
271C2×C4×C29C22×D411yescharacteristic
272C2×C4×C29C22×D411yescharacteristic
273C2×C4×C29H(5,𝔽2)11yescharacteristic
274C8×C29—21no—
275C8×C29—21no—
276C8×C29—21no—
277C8×C29—21no—
278C8×C29—41no—
279C8×C29—41no—
280C8×C29—41no—
281C8×C29—41no—
282C8×C29—41no—
283#3366C2×C2911yescharacteristic, complemented
284#3295C2×C2911yescharacteristic, complemented
285#3294C2×C2911yescharacteristic, complemented
286#3284C2×C2911yescharacteristic, complemented
287#1717C2×C2911yescharacteristic, complemented
288#1702C2×C2911yescharacteristic, complemented
289#1677C2×C2911yescharacteristic, complemented
290#1677C2×C2911yescharacteristic, complemented
291#1665C2×C2911yescharacteristic, complemented
292#1644C2×C2911yescharacteristic, complemented
293#1635C2×C2911yescharacteristic, complemented
294#1621C2×C2911yescharacteristic, complemented
295#1619C2×C2911yescharacteristic, complemented
296#1582C2×C2911yescharacteristic, complemented
297#1580C2×C2911yescharacteristic, complemented
298C22×C29—22no—
299C22×C29—22no—
300C22×C29—41no—
301C22×C29—41no—
302C22×C29—41no—
303C22×C29—41no—
304C22×C29—41no—
305C22×C29—41no—
306C22×C29—41no—
307C22×C29—81no—
308C22×C29—81no—
309C22×C29—81no—
310C22×C29—81no—
311C22×C29—81no—
312C22×C29—81no—
313C22×C29—164no—
314C22×C29D4211yescharacteristic
315C4×C29—21no—
316C4×C29—41no—
317C4×C29—41no—
318C4×C29—41no—
319C4×C29—41no—
320C4×C29—41no—
321C4×C29—81no—
322C4×C29—81no—
323C4×C29C2×#13511yescharacteristic
324C4×C29C2×AGL(1,ℤ/8)11yescharacteristic
325C4×C29#57611yescharacteristic
326C4×C29#57711yescharacteristic
327C2×#135—21no—
328#554C22×C2911yescharacteristic
329#550C22×C2911yescharacteristic, complemented
330#547C22×C2911yescharacteristic
331D42C22×C2911yescharacteristic
332#493C22×C2911yescharacteristic
333#492C22×C2911yescharacteristic, complemented
334#490—21no—
335#487C22×C2911yescharacteristic, complemented
336#486C22×C2911yescharacteristic
337#486C22×C2911yescharacteristic
338#486C22×C2911yescharacteristic, complemented
339#481—21no—
340#480—21no—
341#478—21no—
342#476C22×C2911yescharacteristic
343#476C22×C2911yescharacteristic, complemented
344#474C22×C2911yescharacteristic
345#466—21no—
346#465—21no—
347#465—21no—
348#462C22×C2911yescharacteristic, complemented
349#460C22×C2911yescharacteristic
350#459—21no—
351#459C22×C2911yescharacteristic
352#459C22×C2911yescharacteristic
353#459C22×C2911yescharacteristic
354#452—21no—
355#450—21no—
356#449—21no—
357#447—21no—
358#446C22×C2911yescharacteristic, complemented
359#442—21no—
360C4×SD16C22×C2911yescharacteristic
361C4×D8C22×C2911yescharacteristic
362C8×D4C22×C2911yescharacteristic
363C8×D4C22×C2911yescharacteristic
364C8×D4C22×C2911yescharacteristic, complemented
365C2×#102—21no—
366C2×#102—21no—
367#334C22×C2911yescharacteristic, complemented
368#334C22×C2911yescharacteristic, complemented
369#333C22×C2911yescharacteristic, complemented
370#332C22×C2911yescharacteristic, complemented
371#331C22×C2911yescharacteristic
372#331C22×C2911yescharacteristic, complemented
373Q8⋊C8C22×C2911yescharacteristic, complemented
374D4⋊C8C22×C2911yescharacteristic
375D4⋊C8C22×C2911yescharacteristic
376D4⋊C8C22×C2911yescharacteristic, complemented
377#322C22×C2911yescharacteristic, complemented
378C2×C29—42no—
379C2×C29—42no—
380C2×C29—81no—
381C2×C29—161no—
382C2×C29—161no—
383C2×C29#326411yescharacteristic
384C2×C29#328211yescharacteristic
385C2×C29#328811yescharacteristic
386C2×#41—21no—
387C2×#41—21no—
388C22×D4—21no—
389C22×D4—21no—
390#135—44no—
391C2×Q16—21no—
392C2×SD16—21no—
393C2×SD16—21no—
394C2×SD16—21no—
395C2×SD16D4×C2911yescharacteristic
396C2×D8—21no—
397C2×D8—21no—
398C2×D8—21no—
399C2×D8—41no—
400C2×D8D4×C2911yescharacteristic
401C22×C8—21no—
402C22×C8—21no—
403C22×C8—21no—
404C4⋊Q8C23×C2911yescharacteristic
405C4⋊Q8C23×C2911yescharacteristic
406#127—21no—
407#127C23×C2911yescharacteristic
408#127C23×C2911yescharacteristic
409#125—21no—
410#123—41no—
411C22⋊Q8—21no—
412C22⋊Q8—21no—
413C22⋊Q8—41no—
414#121—21no—
415#121—21no—
416#121—21no—
417#121—21no—
418#121—41no—
419#120—41no—
420C4×Q8C23×C2911yescharacteristic
421C4×D4—21no—
422C4×D4—21no—
423C4×D4C23×C2911yescharacteristic
424C4×D4C23×C2911yescharacteristic
425C4×D4C23×C2911yescharacteristic
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428#107—21no—
429#107D4×C2911yescharacteristic
430#106—21no—
431#106—21no—
432#106D4×C2911yescharacteristic
433C4⋊C8—21no—
434C4⋊C8C23×C2911yescharacteristic
435C4⋊C8C23×C2911yescharacteristic
436C4⋊C8C23×C2911yescharacteristic
437C4⋊C8C23×C2911yescharacteristic
438#103—21no—
439#103—41no—
440#103D4×C2911yescharacteristic
441#102—21no—
442#102—21no—
443#102—21no—
444#102—21no—
445#102—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—
454#102D4×C2911yescharacteristic
455#102D4×C2911yescharacteristic
456#102D4×C2911yescharacteristic
457C22⋊C8—21no—
458C22⋊C8—21no—
459C22⋊C8—21no—
460#97—21no—
461C4×C8C23×C2911yescharacteristic
462C4×C8C23×C2911yescharacteristic
463C4×C8C23×C2911yescharacteristic
464C29#1978811yescharacteristic, direct product factor, Sylow
465C24—41no—
466#41—42no—
467#41—42no—
468#41—81no—
469#41—81no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8C2×D4×C2911yescharacteristic
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—41no—
480C2×D4—41no—
481C2×D4—41no—
482C2×D4—41no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—41no—
486C2×D4—81no—
487C2×D4—81no—
488C2×D4C2×D4×C2911yescharacteristic
489C2×D4C2×D4×C2911yescharacteristic
490C2×D4C2×D4×C2911yescharacteristic
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497Q16—42no—
498SD16—22no—
499SD16—42no—
500SD16—81no—
501SD16—81no—
502D8—22no—
503D8—42no—
504D8—42no—
505D8—81no—
506D8—82no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—42no—
513C2×C8—81no—
514C2×C8—81no—
515C2×C8C2×D4×C2911yescharacteristic
516C2×C8C2×D4×C2911yescharacteristic
517C2×C8C2×D4×C2911yescharacteristic
518C2×C8C2×D4×C2911yescharacteristic
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—41no—
525C4⋊C4—41no—
526C4⋊C4—41no—
527C4⋊C4C2×D4×C2911yescharacteristic
528C4⋊C4C2×D4×C2911yescharacteristic
529C4⋊C4C2×D4×C2911yescharacteristic
530C4⋊C4C2×D4×C2911yescharacteristic
531C22⋊C4—21no—
532C22⋊C4—21no—
533C22⋊C4—21no—
534C22⋊C4—41no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C42—21no—
539C42C24×C2911yescharacteristic
540C23—21no—
541C23—21no—
542C23—21no—
543C23—41no—
544C23—41no—
545C23—82no—
546C23—82no—
547C23—161no—
548Q8—21no—
549Q8—21no—
550Q8—41no—
551Q8—41no—
552Q8—81no—
553D4—21no—
554D4—21no—
555D4—21no—
556D4—21no—
557D4—41no—
558D4—41no—
559D4—41no—
560D4—41no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—81no—
566D4—81no—
567D4—82no—
568D4—82no—
569D4—82no—
570D4—82no—
571D4—161no—
572D4C29×#13512yescomplemented
573D4C29×AGL(1,ℤ/8)12yes—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—82no—
588C2×C4—82no—
589C2×C4—161no—
590C2×C4C22×D4×C2911yescharacteristic
591C2×C4C22×D4×C2911yescharacteristic
592C2×C4C29×H(5,𝔽2)11yescharacteristic
593C8—21no—
594C8—21no—
595C8—21no—
596C8—21no—
597C8—41no—
598C8—41no—
599C8—41no—
600C8—41no—
601C8—41no—
602C22—22no—
603C22—22no—
604C22—41no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—81no—
612C22—81no—
613C22—81no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22—164no—
618C22D42×C2911yescharacteristic
619C4—21no—
620C4—41no—
621C4—41no—
622C4—41no—
623C4—41no—
624C4—41no—
625C4—81no—
626C4—81no—
627C4C2×C29×#13511yescharacteristic
628C4C2×C29×AGL(1,ℤ/8)11yescharacteristic
629C4C29×#57611yescharacteristic
630C4C29×#57711yescharacteristic
631C2—42no—
632C2—42no—
633C2—81no—
634C2—161no—
635C2—161no—
636C2C29×#326411yescharacteristic
637C2C29×#328211yescharacteristic
638C2C29×#328811yescharacteristic
subgroupG/H
center, socleC22×C29D42
commutator, Frattini, cosocleC42C24×C29
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C29 ◁ C42×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#3366C2semidirect
2. C29×#3295C2semidirect
3. C29×#3294C2semidirect
4. C29×#3284C2semidirect
5. C29×#1717C2semidirect
6. C29×#1702C2semidirect
7. C29×#1677C2semidirect
8. C29×#1677C2semidirect
9. C29×#1665C2semidirect
10. C29×#1644C2semidirect
11. C29×#1635C2semidirect
12. C29×#1621C2semidirect
13. C29×#1619C2semidirect
14. C29×#1582C2semidirect
15. C29×#1580C2semidirect
18. C29×#550C22semidirect
22. C29×#492C22semidirect
24. C29×#487C22semidirect
27. C29×#486C22semidirect
32. C29×#476C22semidirect
37. C29×#462C22semidirect
47. C29×#446C22semidirect
53. C8×D4×C29C22semidirect
56. C29×#334C22semidirect
57. C29×#334C22semidirect
58. C29×#333C22semidirect
59. C29×#332C22semidirect
61. C29×#331C22semidirect
62. C29×Q8⋊C8C22semidirect
65. C29×D4⋊C8C22semidirect
66. C29×#322C22semidirect
220. #19788C29direct (N × H)
253. D4×C29#135semidirect
283. #3366C2×C29semidirect
284. #3295C2×C29semidirect
285. #3294C2×C29semidirect
286. #3284C2×C29semidirect
287. #1717C2×C29semidirect
288. #1702C2×C29semidirect
289. #1677C2×C29semidirect
290. #1677C2×C29semidirect
291. #1665C2×C29semidirect
292. #1644C2×C29semidirect
293. #1635C2×C29semidirect
294. #1621C2×C29semidirect
295. #1619C2×C29semidirect
296. #1582C2×C29semidirect
297. #1580C2×C29semidirect
329. #550C22×C29semidirect
333. #492C22×C29semidirect
335. #487C22×C29semidirect
338. #486C22×C29semidirect
343. #476C22×C29semidirect
348. #462C22×C29semidirect
358. #446C22×C29semidirect
364. C8×D4C22×C29semidirect
367. #334C22×C29semidirect
368. #334C22×C29semidirect
369. #333C22×C29semidirect
370. #332C22×C29semidirect
372. #331C22×C29semidirect
373. Q8⋊C8C22×C29semidirect
376. D4⋊C8C22×C29semidirect
377. #322C22×C29semidirect
464. C29#19788direct (N × H)
572. D4C29×#135semidirect

Maximal subgroups

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

subgroupindex
C29×#33662
C29×#32952
C29×#32942
C29×#32842
C29×#17172
C29×#17022
C29×#16772
C29×#16652
C29×#16442
C29×#16352
C29×#16212
C29×#16192
C29×#15822
C29×#15802
#1978829