Finite Group Databasebeta

← C29×#17948 #20312848

Subgroups — C29×#17948 #20312848

Order 7424.

608 conjugacy classes of subgroups.

The subgroup lattice has 604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3106C211yesmaximal, characteristic
2C29×#2989C211yesmaximal, characteristic, complemented
3C29×#2981C211yesmaximal, characteristic, complemented
4C29×#1594C211yesmaximal, characteristic, complemented
5C29×#1592C211yesmaximal, characteristic, complemented
6C29×#1590C211yesmaximal, characteristic, complemented
7C29×#1589C211yesmaximal, characteristic, complemented
8C29×#1586C211yesmaximal, characteristic, complemented
9C29×#1585C211yesmaximal, characteristic, complemented
10C29×#1582C211yesmaximal, characteristic, complemented
11C29×#1581C211yesmaximal, characteristic, complemented
12C29×#1573C211yesmaximal, characteristic, complemented
13C29×#1488C211yesmaximal, characteristic, complemented
14C29×#1480C211yesmaximal, characteristic, complemented
15C29×#1454C211yesmaximal, characteristic, complemented
16C29×#532C2211yescharacteristic
17C4×#41×C29C2211yescharacteristic
18C29×#482C411yescharacteristic
19C29×#482C411yescharacteristic
20C29×#477C411yescharacteristic
21C29×#476C411yescharacteristic
22C29×#460C411yescharacteristic
23C29×#459C411yescharacteristic
24C29×#449C411yescharacteristic
25C29×#449C411yescharacteristic
26C29×#446C2211yescharacteristic
27C29×#446C2211yescharacteristic
28C4×SD16×C29C2211yescharacteristic
29C4×SD16×C29C2211yescharacteristic
30C4×D8×C29C2211yescharacteristic
31C4×D8×C29C2211yescharacteristic
32C29×#436C2211yescharacteristic
33C29×#436C2211yescharacteristic
34C29×#436C2211yescharacteristic
35C29×#436C2211yescharacteristic
36C29×#435—21no—
37C29×#435—21no—
38C29×#435—21no—
39C29×#435—21no—
40C8×D4×C29C2211yescharacteristic
41C8×D4×C29C2211yescharacteristic
42C29×#432—21no—
43C29×#432C2211yescharacteristic
44C29×#431C2211yescharacteristic
45C29×#431C2211yescharacteristic
46C29×#431C2211yescharacteristic
47C29×#423—21no—
48C2×C29×C4⋊C8C2211yescharacteristic
49C29×#408—21no—
50C29×#408—21no—
51C29×#335C2211yescharacteristic
52C29×#335C2211yescharacteristic
53C29×#334C2211yescharacteristic
54C29×#334C2211yescharacteristic
55C29×Q8⋊C8C2211yescharacteristic
56C29×Q8⋊C8C2211yescharacteristic
57C29×D4⋊C8C2211yescharacteristic
58C29×D4⋊C8C2211yescharacteristic
59C29×D4⋊C8C2211yescharacteristic
60C29×D4⋊C8C2211yescharacteristic
61C29×D4⋊C8C2211yescharacteristic
62C29×D4⋊C8C2211yescharacteristic
63C29×#322C2211yescharacteristic
64C29×#322C2211yescharacteristic
65C29×#322C2211yescharacteristic
66C82×C29C2211yescharacteristic
67C2×#41×C29—21no—
68C2×#41×C29C2×C411yescharacteristic
69C2×SD16×C29C2×C411yescharacteristic
70C2×SD16×C29C2×C411yescharacteristic
71C2×D8×C29C2×C411yescharacteristic
72C2×D8×C29C2×C411yescharacteristic
73C2×M16×C29—21no—
74C2×M16×C29—21no—
75C2×M16×C29—21no—
76C2×M16×C29—21no—
77C22×C8×C29—21no—
78C22×C8×C29—21no—
79C22×C8×C29—21no—
80C29×C4⋊Q8C2×C411yescharacteristic
81C29×#127C2×C411yescharacteristic
82C29×#124—21no—
83C29×#121—21no—
84C29×#121C2×C411yescharacteristic
85C29×#121C2×C411yescharacteristic
86C4×Q8×C29C2×C411yescharacteristic
87C4×Q8×C29C2311yescharacteristic
88C4×D4×C29—21no—
89C4×D4×C29—21no—
90C4×D4×C29—21no—
91C4×D4×C29C2×C411yescharacteristic
92C4×D4×C29C2311yescharacteristic
93C4×D4×C29C2311yescharacteristic
94C4×D4×C29C2311yescharacteristic
95C29×#117—21no—
96C29×#117C2×C411yescharacteristic
97C2×C42×C29—21no—
98C2×C42×C29C2311yescharacteristic
99C29×#107C2×C411yescharacteristic
100C29×#107C2×C411yescharacteristic
101C29×#106C2×C411yescharacteristic
102C29×#106C2×C411yescharacteristic
103C29×C4⋊C8—21no—
104C29×C4⋊C8—21no—
105C29×C4⋊C8—21no—
106C29×C4⋊C8—21no—
107C29×C4⋊C8C2×C411yescharacteristic
108C29×C4⋊C8C2×C411yescharacteristic
109C29×C4⋊C8D411yescharacteristic
110C29×C4⋊C8D411yescharacteristic
111C29×C4⋊C8C2311yescharacteristic
112C29×C4⋊C8C2311yescharacteristic
113C29×C4⋊C8C2311yescharacteristic
114C29×C4⋊C8C2311yescharacteristic
115C29×#103C2×C411yescharacteristic
116C29×#103C2×C411yescharacteristic
117C29×#102C2×C411yescharacteristic
118C29×#102C2×C411yescharacteristic
119C29×#102C2×C411yescharacteristic
120C29×#102C2×C411yescharacteristic
121C29×#102C2×C411yescharacteristic
122C29×#102C2×C411yescharacteristic
123C29×C22⋊C8—21no—
124C29×C22⋊C8—21no—
125C29×C22⋊C8—21no—
126C29×C22⋊C8—21no—
127C29×C22⋊C8—21no—
128C29×C22⋊C8—21no—
129C29×C22⋊C8—21no—
130C29×C22⋊C8—21no—
131C29×C22⋊C8C2×C411yescharacteristic
132C29×C22⋊C8C2×C411yescharacteristic
133C29×C22⋊C8D411yescharacteristic
134C29×C22⋊C8D411yescharacteristic
135C29×#97—21no—
136C29×#97—21no—
137C29×#97—21no—
138C4×C8×C29C2311yescharacteristic
139C4×C8×C29C2311yescharacteristic
140C4×C8×C29C2311yescharacteristic
141C4×C8×C29C2311yescharacteristic
142C4×C8×C29C2311yescharacteristic
143C4×C8×C29C2311yescharacteristic
144#41×C29—41no—
145#41×C29—41no—
146#41×C29—81no—
147#41×C29—81no—
148C2×Q8×C29—21no—
149C2×Q8×C29C22×C411yescharacteristic
150C2×D4×C29—21no—
151C2×D4×C29—21no—
152C2×D4×C29—21no—
153C2×D4×C29—21no—
154C2×D4×C29—21no—
155C2×D4×C29C22×C411yescharacteristic
156C2×D4×C29C22×C411yescharacteristic
157C2×D4×C29C22×C411yescharacteristic
158C22×C4×C29—21no—
159C22×C4×C29—21no—
160C22×C4×C29—21no—
161C22×C4×C29—21no—
162C22×C4×C29—21no—
163C22×C4×C29C22×C411yescharacteristic
164C22×C4×C29C2×D411yescharacteristic
165C22×C4×C29#4111yescharacteristic
166SD16×C29—41no—
167SD16×C29—41no—
168D8×C29—41no—
169D8×C29—41no—
170M16×C29—81no—
171M16×C29—81no—
172M16×C29—81no—
173M16×C29—81no—
174C2×C8×C29—21no—
175C2×C8×C29—21no—
176C2×C8×C29—21no—
177C2×C8×C29—21no—
178C2×C8×C29—21no—
179C2×C8×C29—21no—
180C2×C8×C29—81no—
181C2×C8×C29—81no—
182C2×C8×C29—81no—
183C2×C8×C29C22×C411yescharacteristic
184C2×C8×C29C22×C411yescharacteristic
185C2×C8×C29C22×C411yescharacteristic
186C2×C8×C29C22×C411yescharacteristic
187C2×C8×C29C2×D411yescharacteristic
188C2×C8×C29C2×D411yescharacteristic
189C2×C8×C29C2×D411yescharacteristic
190C2×C8×C29C2×D411yescharacteristic
191C4⋊C4×C29—21no—
192C4⋊C4×C29—21no—
193C4⋊C4×C29—21no—
194C4⋊C4×C29C22×C411yescharacteristic
195C4⋊C4×C29C22×C411yescharacteristic
196C4⋊C4×C29C22×C411yescharacteristic
197C4⋊C4×C29C22×C411yescharacteristic
198C22⋊C4×C29—21no—
199C22⋊C4×C29—21no—
200C22⋊C4×C29—21no—
201C22⋊C4×C29—21no—
202C22⋊C4×C29—21no—
203C22⋊C4×C29—21no—
204C22⋊C4×C29—21no—
205C42×C29—21no—
206C42×C29—21no—
207C42×C29—21no—
208C42×C29C22×C411yescharacteristic
209C42×C29C2×D411yescharacteristic
210C42×C29#4111yescharacteristic
211C42×C29C2411yescharacteristic
212#17948C2911yesmaximal, characteristic, direct product factor, Sylow
213C23×C29—21no—
214C23×C29—21no—
215C23×C29—21no—
216C23×C29C4×D411yescharacteristic
217Q8×C29—21no—
218Q8×C29—21no—
219Q8×C29—81no—
220D4×C29—21no—
221D4×C29—21no—
222D4×C29—21no—
223D4×C29—21no—
224D4×C29—21no—
225D4×C29—21no—
226D4×C29—42no—
227D4×C29—81no—
228D4×C29—81no—
229D4×C29—81no—
230D4×C29—81no—
231C2×C4×C29—21no—
232C2×C4×C29—21no—
233C2×C4×C29—21no—
234C2×C4×C29—21no—
235C2×C4×C29—21no—
236C2×C4×C29—21no—
237C2×C4×C29—21no—
238C2×C4×C29—21no—
239C2×C4×C29—21no—
240C2×C4×C29—41no—
241C2×C4×C29—42no—
242C2×C4×C29—41no—
243C2×C4×C29—41no—
244C2×C4×C29—41no—
245C2×C4×C29—41no—
246C2×C4×C29—41no—
247C2×C4×C29—41no—
248C2×C4×C29—81no—
249C2×C4×C29C4×D411yescharacteristic
250C2×C4×C29C4×D411yescharacteristic
251C2×C4×C29C4×D411yescharacteristic
252C2×C4×C29C23×C411yescharacteristic
253C2×C4×C29C22×D411yescharacteristic
254C2×C4×C29C2×#4111yescharacteristic
255C8×C29—21no—
256C8×C29—21no—
257C8×C29—21no—
258C8×C29—21no—
259C8×C29—21no—
260C8×C29—21no—
261C8×C29—21no—
262C8×C29—21no—
263C8×C29—41no—
264C8×C29—41no—
265C8×C29—41no—
266C8×C29—41no—
267C8×C29—41no—
268C8×C29—41no—
269#3106C2×C2911yescharacteristic
270#2989C2×C2911yescharacteristic, complemented
271#2981C2×C2911yescharacteristic, complemented
272#1594C2×C2911yescharacteristic, complemented
273#1592C2×C2911yescharacteristic, complemented
274#1590C2×C2911yescharacteristic, complemented
275#1589C2×C2911yescharacteristic, complemented
276#1586C2×C2911yescharacteristic, complemented
277#1585C2×C2911yescharacteristic, complemented
278#1582C2×C2911yescharacteristic, complemented
279#1581C2×C2911yescharacteristic, complemented
280#1573C2×C2911yescharacteristic, complemented
281#1488C2×C2911yescharacteristic, complemented
282#1480C2×C2911yescharacteristic, complemented
283#1454C2×C2911yescharacteristic, complemented
284C22×C29—21no—
285C22×C29—21no—
286C22×C29—21no—
287C22×C29—41no—
288C22×C29—41no—
289C22×C29—41no—
290C22×C29—41no—
291C22×C29—41no—
292C22×C29—41no—
293C22×C29—41no—
294C22×C29—41no—
295C22×C29—41no—
296C22×C29C2×C4×D411yescharacteristic
297C4×C29—21no—
298C4×C29—21no—
299C4×C29—21no—
300C4×C29—21no—
301C4×C29—41no—
302C4×C29—41no—
303C4×C29—41no—
304C4×C29—41no—
305C4×C29—41no—
306C4×C29#56811yescharacteristic
307C4×C29#56811yescharacteristic
308C4×C29#57611yescharacteristic
309C4×C29#57711yescharacteristic
310#532C22×C2911yescharacteristic
311C4×#41C22×C2911yescharacteristic
312#482C4×C2911yescharacteristic
313#482C4×C2911yescharacteristic
314#477C4×C2911yescharacteristic
315#476C4×C2911yescharacteristic
316#460C4×C2911yescharacteristic
317#459C4×C2911yescharacteristic
318#449C4×C2911yescharacteristic
319#449C4×C2911yescharacteristic
320#446C22×C2911yescharacteristic
321#446C22×C2911yescharacteristic
322C4×SD16C22×C2911yescharacteristic
323C4×SD16C22×C2911yescharacteristic
324C4×D8C22×C2911yescharacteristic
325C4×D8C22×C2911yescharacteristic
326#436C22×C2911yescharacteristic
327#436C22×C2911yescharacteristic
328#436C22×C2911yescharacteristic
329#436C22×C2911yescharacteristic
330#435—21no—
331#435—21no—
332#435—21no—
333#435—21no—
334C8×D4C22×C2911yescharacteristic
335C8×D4C22×C2911yescharacteristic
336#432—21no—
337#432C22×C2911yescharacteristic
338#431C22×C2911yescharacteristic
339#431C22×C2911yescharacteristic
340#431C22×C2911yescharacteristic
341#423—21no—
342C2×C4⋊C8C22×C2911yescharacteristic
343#408—21no—
344#408—21no—
345#335C22×C2911yescharacteristic
346#335C22×C2911yescharacteristic
347#334C22×C2911yescharacteristic
348#334C22×C2911yescharacteristic
349Q8⋊C8C22×C2911yescharacteristic
350Q8⋊C8C22×C2911yescharacteristic
351D4⋊C8C22×C2911yescharacteristic
352D4⋊C8C22×C2911yescharacteristic
353D4⋊C8C22×C2911yescharacteristic
354D4⋊C8C22×C2911yescharacteristic
355D4⋊C8C22×C2911yescharacteristic
356D4⋊C8C22×C2911yescharacteristic
357#322C22×C2911yescharacteristic
358#322C22×C2911yescharacteristic
359#322C22×C2911yescharacteristic
360C82C22×C2911yescharacteristic
361C2×C29—41no—
362C2×C29—81no—
363C2×C29—81no—
364C2×C29—81no—
365C2×C29#293011yescharacteristic
366C2×C29#294611yescharacteristic
367C2×C29#295711yescharacteristic
368C2×#41—21no—
369C2×#41C2×C4×C2911yescharacteristic
370C2×SD16C2×C4×C2911yescharacteristic
371C2×SD16C2×C4×C2911yescharacteristic
372C2×D8C2×C4×C2911yescharacteristic
373C2×D8C2×C4×C2911yescharacteristic
374C2×M16—21no—
375C2×M16—21no—
376C2×M16—21no—
377C2×M16—21no—
378C22×C8—21no—
379C22×C8—21no—
380C22×C8—21no—
381C4⋊Q8C2×C4×C2911yescharacteristic
382#127C2×C4×C2911yescharacteristic
383#124—21no—
384#121—21no—
385#121C2×C4×C2911yescharacteristic
386#121C2×C4×C2911yescharacteristic
387C4×Q8C2×C4×C2911yescharacteristic
388C4×Q8C23×C2911yescharacteristic
389C4×D4—21no—
390C4×D4—21no—
391C4×D4—21no—
392C4×D4C2×C4×C2911yescharacteristic
393C4×D4C23×C2911yescharacteristic
394C4×D4C23×C2911yescharacteristic
395C4×D4C23×C2911yescharacteristic
396#117—21no—
397#117C2×C4×C2911yescharacteristic
398C2×C42—21no—
399C2×C42C23×C2911yescharacteristic
400#107C2×C4×C2911yescharacteristic
401#107C2×C4×C2911yescharacteristic
402#106C2×C4×C2911yescharacteristic
403#106C2×C4×C2911yescharacteristic
404C4⋊C8—21no—
405C4⋊C8—21no—
406C4⋊C8—21no—
407C4⋊C8—21no—
408C4⋊C8C2×C4×C2911yescharacteristic
409C4⋊C8C2×C4×C2911yescharacteristic
410C4⋊C8D4×C2911yescharacteristic
411C4⋊C8D4×C2911yescharacteristic
412C4⋊C8C23×C2911yescharacteristic
413C4⋊C8C23×C2911yescharacteristic
414C4⋊C8C23×C2911yescharacteristic
415C4⋊C8C23×C2911yescharacteristic
416#103C2×C4×C2911yescharacteristic
417#103C2×C4×C2911yescharacteristic
418#102C2×C4×C2911yescharacteristic
419#102C2×C4×C2911yescharacteristic
420#102C2×C4×C2911yescharacteristic
421#102C2×C4×C2911yescharacteristic
422#102C2×C4×C2911yescharacteristic
423#102C2×C4×C2911yescharacteristic
424C22⋊C8—21no—
425C22⋊C8—21no—
426C22⋊C8—21no—
427C22⋊C8—21no—
428C22⋊C8—21no—
429C22⋊C8—21no—
430C22⋊C8—21no—
431C22⋊C8—21no—
432C22⋊C8C2×C4×C2911yescharacteristic
433C22⋊C8C2×C4×C2911yescharacteristic
434C22⋊C8D4×C2911yescharacteristic
435C22⋊C8D4×C2911yescharacteristic
436#97—21no—
437#97—21no—
438#97—21no—
439C4×C8C23×C2911yescharacteristic
440C4×C8C23×C2911yescharacteristic
441C4×C8C23×C2911yescharacteristic
442C4×C8C23×C2911yescharacteristic
443C4×C8C23×C2911yescharacteristic
444C4×C8C23×C2911yescharacteristic
445C29#1794811yescharacteristic, direct product factor, Sylow
446#41—41no—
447#41—41no—
448#41—81no—
449#41—81no—
450C2×Q8—21no—
451C2×Q8C22×C4×C2911yescharacteristic
452C2×D4—21no—
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4C22×C4×C2911yescharacteristic
458C2×D4C22×C4×C2911yescharacteristic
459C2×D4C22×C4×C2911yescharacteristic
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4C22×C4×C2911yescharacteristic
466C22×C4C2×D4×C2911yescharacteristic
467C22×C4#41×C2911yescharacteristic
468SD16—41no—
469SD16—41no—
470D8—41no—
471D8—41no—
472M16—81no—
473M16—81no—
474M16—81no—
475M16—81no—
476C2×C8—21no—
477C2×C8—21no—
478C2×C8—21no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—81no—
483C2×C8—81no—
484C2×C8—81no—
485C2×C8C22×C4×C2911yescharacteristic
486C2×C8C22×C4×C2911yescharacteristic
487C2×C8C22×C4×C2911yescharacteristic
488C2×C8C22×C4×C2911yescharacteristic
489C2×C8C2×D4×C2911yescharacteristic
490C2×C8C2×D4×C2911yescharacteristic
491C2×C8C2×D4×C2911yescharacteristic
492C2×C8C2×D4×C2911yescharacteristic
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4C22×C4×C2911yescharacteristic
497C4⋊C4C22×C4×C2911yescharacteristic
498C4⋊C4C22×C4×C2911yescharacteristic
499C4⋊C4C22×C4×C2911yescharacteristic
500C22⋊C4—21no—
501C22⋊C4—21no—
502C22⋊C4—21no—
503C22⋊C4—21no—
504C22⋊C4—21no—
505C22⋊C4—21no—
506C22⋊C4—21no—
507C42—21no—
508C42—21no—
509C42—21no—
510C42C22×C4×C2911yescharacteristic
511C42C2×D4×C2911yescharacteristic
512C42#41×C2911yescharacteristic
513C42C24×C2911yescharacteristic
514C23—21no—
515C23—21no—
516C23—21no—
517C23C4×D4×C2911yescharacteristic
518Q8—21no—
519Q8—21no—
520Q8—81no—
521D4—21no—
522D4—21no—
523D4—21no—
524D4—21no—
525D4—21no—
526D4—21no—
527D4—42no—
528D4—81no—
529D4—81no—
530D4—81no—
531D4—81no—
532C2×C4—21no—
533C2×C4—21no—
534C2×C4—21no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—41no—
542C2×C4—42no—
543C2×C4—41no—
544C2×C4—41no—
545C2×C4—41no—
546C2×C4—41no—
547C2×C4—41no—
548C2×C4—41no—
549C2×C4—81no—
550C2×C4C4×D4×C2911yescharacteristic
551C2×C4C4×D4×C2911yescharacteristic
552C2×C4C4×D4×C2911yescharacteristic
553C2×C4C23×C4×C2911yescharacteristic
554C2×C4C22×D4×C2911yescharacteristic
555C2×C4C2×#41×C2911yescharacteristic
556C8—21no—
557C8—21no—
558C8—21no—
559C8—21no—
560C8—21no—
561C8—21no—
562C8—21no—
563C8—21no—
564C8—41no—
565C8—41no—
566C8—41no—
567C8—41no—
568C8—41no—
569C8—41no—
570C22—21no—
571C22—21no—
572C22—21no—
573C22—41no—
574C22—41no—
575C22—41no—
576C22—41no—
577C22—41no—
578C22—41no—
579C22—41no—
580C22—41no—
581C22—41no—
582C22C2×C4×D4×C2911yescharacteristic
583C4—21no—
584C4—21no—
585C4—21no—
586C4—21no—
587C4—41no—
588C4—41no—
589C4—41no—
590C4—41no—
591C4—41no—
592C4C29×#56811yescharacteristic
593C4C29×#56811yescharacteristic
594C4C29×#57611yescharacteristic
595C4C29×#57711yescharacteristic
596C2—41no—
597C2—81no—
598C2—81no—
599C2—81no—
600C2C29×#293011yescharacteristic
601C2C29×#294611yescharacteristic
602C2C29×#295711yescharacteristic
subgroupG/H
centerC2×C4×C29C22×D4
commutatorC2×C4C23×C4×C29
Frattini, cosocleC42C24×C29
socleC22×C29C2×C4×D4
prime radicalC29×#3106C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C29 ◁ C29×#431 ◁ G

Complements

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

NH ≅ G/Ntype
2. C29×#2989C2semidirect
3. C29×#2981C2semidirect
4. C29×#1594C2semidirect
5. C29×#1592C2semidirect
6. C29×#1590C2semidirect
7. C29×#1589C2semidirect
8. C29×#1586C2semidirect
9. C29×#1585C2semidirect
10. C29×#1582C2semidirect
11. C29×#1581C2semidirect
12. C29×#1573C2semidirect
13. C29×#1488C2semidirect
14. C29×#1480C2semidirect
15. C29×#1454C2semidirect
212. #17948C29direct (N × H)
270. #2989C2×C29semidirect
271. #2981C2×C29semidirect
272. #1594C2×C29semidirect
273. #1592C2×C29semidirect
274. #1590C2×C29semidirect
275. #1589C2×C29semidirect
276. #1586C2×C29semidirect
277. #1585C2×C29semidirect
278. #1582C2×C29semidirect
279. #1581C2×C29semidirect
280. #1573C2×C29semidirect
281. #1488C2×C29semidirect
282. #1480C2×C29semidirect
283. #1454C2×C29semidirect
445. C29#17948direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#31062
C29×#29892
C29×#29812
C29×#15942
C29×#15922
C29×#15902
C29×#15892
C29×#15862
C29×#15852
C29×#15822
C29×#15812
C29×#15732
C29×#14882
C29×#14802
C29×#14542
#1794829