Finite Group Databasebeta

← C29×#32627 #20327527

Subgroups — C29×#32627 #20327527

Order 7424.

778 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#2582C211yesmaximal, characteristic, complemented
2C29×#2548C211yesmaximal, characteristic
3C29×#2093C211yesmaximal, characteristic, complemented
4C29×#2071C211yesmaximal, characteristic, complemented
5C29×#2067C211yesmaximal, characteristic, complemented
6C29×#2055C211yesmaximal, characteristic, complemented
7C29×#2041C211yesmaximal, characteristic
8C29×#2014C211yesmaximal, characteristic
9C29×#1985C211yesmaximal, characteristic, complemented
10C29×#1973C211yesmaximal, characteristic, complemented
11C29×#1936C211yesmaximal, characteristic, complemented
12C29×#1928C211yesmaximal, characteristic, complemented
13C29×#1921C211yesmaximal, characteristic, complemented
14C29×#1880C211yesmaximal, characteristic, complemented
15C29×#1880C211yesmaximal, characteristic, complemented
16C22×SD16×C29C2211yescharacteristic
17C22×SD16×C29C2211yescharacteristic
18C2×C29×#127C2211yescharacteristic
19C2×C29×#124—21no—
20C2×C4×Q8×C29C2211yescharacteristic
21C2×C4×Q8×C29C2211yescharacteristic
22C2×C29×#107C2211yescharacteristic
23C2×C29×#107C2211yescharacteristic
24C2×C29×C4⋊C8C2211yescharacteristic
25C2×C29×#103C2211yescharacteristic
26C2×C29×#103C2211yescharacteristic
27C2×C29×#102C2211yescharacteristic
28C2×C29×#102C2211yescharacteristic
29C2×C29×#102C2211yescharacteristic
30C2×C29×#102C2211yescharacteristic
31C2×C29×#102C2211yescharacteristic
32C2×C29×#102C2211yescharacteristic
33C2×C29×#97C2211yescharacteristic
34C29×#398—21no—
35C29×#398—21no—
36C29×#394—21no—
37C29×#394—21no—
38C29×#391—21no—
39C29×#391C2211yescharacteristic
40C29×#391C2211yescharacteristic
41C29×#390—21no—
42C29×#390C2211yescharacteristic
43C29×#390C2211yescharacteristic
44C29×#390C2211yescharacteristic
45C29×#390C2211yescharacteristic
46C29×#389—21no—
47C29×#389C2211yescharacteristic
48C29×#389C2211yescharacteristic
49C29×#384C2211yescharacteristic
50C4×C4⋊C4×C29C2211yescharacteristic
51C29×#340C2211yescharacteristic
52C29×#340C2211yescharacteristic
53C29×#340C2211yescharacteristic
54C29×#340C2211yescharacteristic
55C29×#336C2211yescharacteristic
56C29×#336C2211yescharacteristic
57C29×#336C2211yescharacteristic
58C29×#336C2211yescharacteristic
59C22×Q8×C29D411yescharacteristic
60C22×Q8×C29C2311yescharacteristic
61C22×D4×C29—21no—
62C22×D4×C29—21no—
63C22×D4×C29C2311yescharacteristic
64C22×D4×C29C2311yescharacteristic
65C2×SD16×C29—22no—
66C2×SD16×C29—22no—
67C2×SD16×C29—22no—
68C2×SD16×C29—41no—
69C2×SD16×C29—41no—
70C2×SD16×C29—41no—
71C22×C8×C29C2311yescharacteristic
72C22×C8×C29C2311yescharacteristic
73C22×C8×C29C2311yescharacteristic
74C22×C8×C29C2311yescharacteristic
75C29×#127—41no—
76C29×#127—41no—
77C29×#124—44no—
78C4×Q8×C29—41no—
79C4×Q8×C29—41no—
80C4×Q8×C29—41no—
81C4×Q8×C29—41no—
82C2×C4⋊C4×C29—21no—
83C2×C4⋊C4×C29—21no—
84C2×C4⋊C4×C29—21no—
85C2×C4⋊C4×C29—21no—
86C2×C4⋊C4×C29—21no—
87C2×C4⋊C4×C29D411yescharacteristic
88C2×C4⋊C4×C29D411yescharacteristic
89C2×C4⋊C4×C29D411yescharacteristic
90C2×C4⋊C4×C29C2311yescharacteristic
91C2×C4⋊C4×C29C2311yescharacteristic
92C2×C4⋊C4×C29C2311yescharacteristic
93C2×C4⋊C4×C29C2311yescharacteristic
94C2×C4⋊C4×C29C2311yescharacteristic
95C2×C22⋊C4×C29—21no—
96C2×C22⋊C4×C29—21no—
97C2×C22⋊C4×C29—21no—
98C2×C22⋊C4×C29—21no—
99C2×C22⋊C4×C29—21no—
100C2×C22⋊C4×C29—21no—
101C2×C22⋊C4×C29—21no—
102C2×C22⋊C4×C29—21no—
103C2×C42×C29—21no—
104C2×C42×C29—21no—
105C2×C42×C29C2311yescharacteristic
106C2×C42×C29C2311yescharacteristic
107C2×C42×C29C2311yescharacteristic
108C29×#107—22no—
109C29×#107—41no—
110C29×C4⋊C8—41no—
111C29×#103—22no—
112C29×#103—41no—
113C29×#102—22no—
114C29×#102—41no—
115C29×#102—41no—
116C29×#102—41no—
117C29×#102—41no—
118C29×#102—41no—
119C29×#97—41no—
120C29×#95—21no—
121C29×#95—21no—
122C29×#95—21no—
123C29×#95—21no—
124C29×#95—21no—
125C29×#95—21no—
126C29×#95—21no—
127C24×C29—21no—
128C24×C29—21no—
129C2×Q8×C29—22no—
130C2×Q8×C29—22no—
131C2×Q8×C29—21no—
132C2×Q8×C29—21no—
133C2×Q8×C29—21no—
134C2×Q8×C29—21no—
135C2×Q8×C29—21no—
136C2×Q8×C29—41no—
137C2×Q8×C29#4112yes—
138C2×D4×C29—21no—
139C2×D4×C29—21no—
140C2×D4×C29—21no—
141C2×D4×C29—21no—
142C2×D4×C29—21no—
143C2×D4×C29—21no—
144C2×D4×C29—21no—
145C2×D4×C29—21no—
146C2×D4×C29—21no—
147C2×D4×C29—21no—
148C2×D4×C29—21no—
149C2×D4×C29—21no—
150C2×D4×C29—42no—
151C2×D4×C29—42no—
152C2×D4×C29—42no—
153C2×D4×C29—42no—
154C2×D4×C29—81no—
155C2×D4×C29—81no—
156C22×C4×C29—21no—
157C22×C4×C29—21no—
158C22×C4×C29—21no—
159C22×C4×C29—21no—
160C22×C4×C29—21no—
161C22×C4×C29—21no—
162C22×C4×C29C2×D411yescharacteristic
163C22×C4×C29C2×D411yescharacteristic
164C22×C4×C29C2×D411yescharacteristic
165C22×C4×C29C2×D411yescharacteristic
166C22×C4×C29C2×D411yescharacteristic
167C22×C4×C29C2×D411yescharacteristic
168C22×C4×C29C2411yescharacteristic
169SD16×C29—44no—
170SD16×C29—44no—
171C2×C8×C29—21no—
172C2×C8×C29—21no—
173C2×C8×C29—21no—
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—21no—
181C2×C8×C29—21no—
182C2×C8×C29#4112yes—
183C4⋊C4×C29—21no—
184C4⋊C4×C29—21no—
185C4⋊C4×C29—21no—
186C4⋊C4×C29—21no—
187C4⋊C4×C29—21no—
188C4⋊C4×C29—21no—
189C4⋊C4×C29—21no—
190C4⋊C4×C29—21no—
191C4⋊C4×C29—21no—
192C4⋊C4×C29—21no—
193C4⋊C4×C29—41no—
194C4⋊C4×C29—41no—
195C4⋊C4×C29—41no—
196C4⋊C4×C29—42no—
197C4⋊C4×C29—42no—
198C4⋊C4×C29—81no—
199C4⋊C4×C29—81no—
200C4⋊C4×C29—81no—
201C22⋊C4×C29—42no—
202C22⋊C4×C29—42no—
203C22⋊C4×C29—42no—
204C22⋊C4×C29—42no—
205C22⋊C4×C29—81no—
206C22⋊C4×C29—81no—
207C22⋊C4×C29—81no—
208C22⋊C4×C29—81no—
209C42×C29—21no—
210C42×C29—21no—
211C42×C29—21no—
212C42×C29—21no—
213C42×C29—21no—
214C42×C29—21no—
215C42×C29—42no—
216C42×C29—42no—
217#32627C2911yesmaximal, characteristic, direct product factor, Sylow
218C23×C29—41no—
219C23×C29—41no—
220C23×C29—41no—
221C23×C29—41no—
222C23×C29—41no—
223C23×C29—41no—
224C23×C29—41no—
225C23×C29—41no—
226C23×C29—41no—
227C23×C29—41no—
228C23×C29—41no—
229C23×C29—41no—
230C23×C29—41no—
231C23×C29—41no—
232C23×C29C22×D411yescharacteristic
233Q8×C29—22no—
234Q8×C29—22no—
235Q8×C29—44no—
236Q8×C29—41no—
237Q8×C29—41no—
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—84no—
247D4×C29—84no—
248C2×C4×C29—21no—
249C2×C4×C29—21no—
250C2×C4×C29—21no—
251C2×C4×C29—21no—
252C2×C4×C29—21no—
253C2×C4×C29—21no—
254C2×C4×C29—21no—
255C2×C4×C29—21no—
256C2×C4×C29—22no—
257C2×C4×C29—21no—
258C2×C4×C29—21no—
259C2×C4×C29—21no—
260C2×C4×C29—21no—
261C2×C4×C29—21no—
262C2×C4×C29—21no—
263C2×C4×C29—21no—
264C2×C4×C29—21no—
265C2×C4×C29—41no—
266C2×C4×C29—41no—
267C2×C4×C29—41no—
268C2×C4×C29—41no—
269C2×C4×C29—41no—
270C2×C4×C29—41no—
271C2×C4×C29—41no—
272C2×C4×C29—41no—
273C2×C4×C29—41no—
274C2×C4×C29—41no—
275C2×C4×C29—41no—
276C2×C4×C29—41no—
277C2×C4×C29—41no—
278C2×C4×C29—41no—
279C2×C4×C29—41no—
280C2×C4×C29—41no—
281C2×C4×C29—41no—
282C2×C4×C29AGL(1,ℤ/8)12yes—
283C2×C4×C29#13712yes—
284C2×C4×C29C2×#4111yescharacteristic
285C2×C4×C29C2×#4111yescharacteristic
286C2×C4×C29H(5,𝔽2)11yescharacteristic
287C2×C4×C29H(5,𝔽2)11yescharacteristic
288C2×C4×C29H(5,𝔽2)11yescharacteristic
289C2×C4×C292−1+411yescharacteristic
290C8×C29—22no—
291C8×C29—41no—
292C8×C29—41no—
293C8×C29—41no—
294#2582C2×C2911yescharacteristic, complemented
295#2548C2×C2911yescharacteristic
296#2093C2×C2911yescharacteristic, complemented
297#2071C2×C2911yescharacteristic, complemented
298#2067C2×C2911yescharacteristic, complemented
299#2055C2×C2911yescharacteristic, complemented
300#2041C2×C2911yescharacteristic
301#2014C2×C2911yescharacteristic
302#1985C2×C2911yescharacteristic, complemented
303#1973C2×C2911yescharacteristic, complemented
304#1936C2×C2911yescharacteristic, complemented
305#1928C2×C2911yescharacteristic, complemented
306#1921C2×C2911yescharacteristic, complemented
307#1880C2×C2911yescharacteristic, complemented
308#1880C2×C2911yescharacteristic, complemented
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—81no—
319C22×C29—81no—
320C22×C29—81no—
321C22×C29—81no—
322C22×C29—81no—
323C22×C29#53411yescharacteristic
324C22×C29#54811yescharacteristic
325C22×C29#55011yescharacteristic
326C22×C29C2×AGL(1,ℤ/8)11yescharacteristic
327C22×C29C2×#13711yescharacteristic
328C22×C29#57611yescharacteristic
329C22×C29#57711yescharacteristic
330C4×C29—22no—
331C4×C29—22no—
332C4×C29—41no—
333C4×C29—41no—
334C4×C29—41no—
335C4×C29—41no—
336C4×C29—42no—
337C4×C29—81no—
338C4×C29—81no—
339C4×C29—81no—
340C4×C29—81no—
341C4×C29—81no—
342C4×C29#53811yescharacteristic
343C4×C29#54211yescharacteristic
344C4×C29#55111yescharacteristic
345C4×C29#56211yescharacteristic
346C22×SD16C22×C2911yescharacteristic
347C22×SD16C22×C2911yescharacteristic
348C2×#127C22×C2911yescharacteristic
349C2×#124—21no—
350C2×C4×Q8C22×C2911yescharacteristic
351C2×C4×Q8C22×C2911yescharacteristic
352C2×#107C22×C2911yescharacteristic
353C2×#107C22×C2911yescharacteristic
354C2×C4⋊C8C22×C2911yescharacteristic
355C2×#103C22×C2911yescharacteristic
356C2×#103C22×C2911yescharacteristic
357C2×#102C22×C2911yescharacteristic
358C2×#102C22×C2911yescharacteristic
359C2×#102C22×C2911yescharacteristic
360C2×#102C22×C2911yescharacteristic
361C2×#102C22×C2911yescharacteristic
362C2×#102C22×C2911yescharacteristic
363C2×#97C22×C2911yescharacteristic
364#398—21no—
365#398—21no—
366#394—21no—
367#394—21no—
368#391—21no—
369#391C22×C2911yescharacteristic
370#391C22×C2911yescharacteristic
371#390—21no—
372#390C22×C2911yescharacteristic
373#390C22×C2911yescharacteristic
374#390C22×C2911yescharacteristic
375#390C22×C2911yescharacteristic
376#389—21no—
377#389C22×C2911yescharacteristic
378#389C22×C2911yescharacteristic
379#384C22×C2911yescharacteristic
380C4×C4⋊C4C22×C2911yescharacteristic
381#340C22×C2911yescharacteristic
382#340C22×C2911yescharacteristic
383#340C22×C2911yescharacteristic
384#340C22×C2911yescharacteristic
385#336C22×C2911yescharacteristic
386#336C22×C2911yescharacteristic
387#336C22×C2911yescharacteristic
388#336C22×C2911yescharacteristic
389C2×C29—161no—
390C2×C29—161no—
391C2×C29#273011yescharacteristic
392C2×C29#319311yescharacteristic
393C2×C29#319811yescharacteristic
394C2×C29#336811yescharacteristic
395C2×C29#337511yescharacteristic
396C2×C29#339911yescharacteristic
397C2×C29#340011yescharacteristic
398C22×Q8D4×C2911yescharacteristic
399C22×Q8C23×C2911yescharacteristic
400C22×D4—21no—
401C22×D4—21no—
402C22×D4C23×C2911yescharacteristic
403C22×D4C23×C2911yescharacteristic
404C2×SD16—22no—
405C2×SD16—22no—
406C2×SD16—22no—
407C2×SD16—41no—
408C2×SD16—41no—
409C2×SD16—41no—
410C22×C8C23×C2911yescharacteristic
411C22×C8C23×C2911yescharacteristic
412C22×C8C23×C2911yescharacteristic
413C22×C8C23×C2911yescharacteristic
414#127—41no—
415#127—41no—
416#124—44no—
417C4×Q8—41no—
418C4×Q8—41no—
419C4×Q8—41no—
420C4×Q8—41no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4D4×C2911yescharacteristic
427C2×C4⋊C4D4×C2911yescharacteristic
428C2×C4⋊C4D4×C2911yescharacteristic
429C2×C4⋊C4C23×C2911yescharacteristic
430C2×C4⋊C4C23×C2911yescharacteristic
431C2×C4⋊C4C23×C2911yescharacteristic
432C2×C4⋊C4C23×C2911yescharacteristic
433C2×C4⋊C4C23×C2911yescharacteristic
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C42—21no—
443C2×C42—21no—
444C2×C42C23×C2911yescharacteristic
445C2×C42C23×C2911yescharacteristic
446C2×C42C23×C2911yescharacteristic
447#107—22no—
448#107—41no—
449C4⋊C8—41no—
450#103—22no—
451#103—41no—
452#102—22no—
453#102—41no—
454#102—41no—
455#102—41no—
456#102—41no—
457#102—41no—
458#97—41no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466C29#3262711yescharacteristic, direct product factor, Sylow
467C24—21no—
468C24—21no—
469C2×Q8—22no—
470C2×Q8—22no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—41no—
477C2×Q8#41×C2912yes—
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—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—81no—
495C2×D4—81no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4C2×D4×C2911yescharacteristic
503C22×C4C2×D4×C2911yescharacteristic
504C22×C4C2×D4×C2911yescharacteristic
505C22×C4C2×D4×C2911yescharacteristic
506C22×C4C2×D4×C2911yescharacteristic
507C22×C4C2×D4×C2911yescharacteristic
508C22×C4C24×C2911yescharacteristic
509SD16—44no—
510SD16—44no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8#41×C2912yes—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—41no—
534C4⋊C4—41no—
535C4⋊C4—41no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—81no—
539C4⋊C4—81no—
540C4⋊C4—81no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—81no—
546C22⋊C4—81no—
547C22⋊C4—81no—
548C22⋊C4—81no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—21no—
555C42—42no—
556C42—42no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23C22×D4×C2911yescharacteristic
572Q8—22no—
573Q8—22no—
574Q8—44no—
575Q8—41no—
576Q8—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—41no—
585D4—84no—
586D4—84no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—22no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4C29×AGL(1,ℤ/8)12yes—
622C2×C4C29×#13712yes—
623C2×C4C2×#41×C2911yescharacteristic
624C2×C4C2×#41×C2911yescharacteristic
625C2×C4C29×H(5,𝔽2)11yescharacteristic
626C2×C4C29×H(5,𝔽2)11yescharacteristic
627C2×C4C29×H(5,𝔽2)11yescharacteristic
628C2×C4C29×2−1+411yescharacteristic
629C8—22no—
630C8—41no—
631C8—41no—
632C8—41no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22C29×#53411yescharacteristic
648C22C29×#54811yescharacteristic
649C22C29×#55011yescharacteristic
650C22C2×C29×AGL(1,ℤ/8)11yescharacteristic
651C22C2×C29×#13711yescharacteristic
652C22C29×#57611yescharacteristic
653C22C29×#57711yescharacteristic
654C4—22no—
655C4—22no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—41no—
660C4—42no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4C29×#53811yescharacteristic
667C4C29×#54211yescharacteristic
668C4C29×#55111yescharacteristic
669C4C29×#56211yescharacteristic
670C2—161no—
671C2—161no—
672C2C29×#273011yescharacteristic
673C2C29×#319311yescharacteristic
674C2C29×#319811yescharacteristic
675C2C29×#336811yescharacteristic
676C2C29×#337511yescharacteristic
677C2C29×#339911yescharacteristic
678C2C29×#340011yescharacteristic
subgroupG/H
center, socleC23×C29C22×D4
commutator, Frattini, cosocleC22×C4C24×C29
prime radicalC2×C29×#127C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C29 ◁ C2×C4×Q8×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#2582C2semidirect
3. C29×#2093C2semidirect
4. C29×#2071C2semidirect
5. C29×#2067C2semidirect
6. C29×#2055C2semidirect
9. C29×#1985C2semidirect
10. C29×#1973C2semidirect
11. C29×#1936C2semidirect
12. C29×#1928C2semidirect
13. C29×#1921C2semidirect
14. C29×#1880C2semidirect
15. C29×#1880C2semidirect
217. #32627C29direct (N × H)
294. #2582C2×C29semidirect
296. #2093C2×C29semidirect
297. #2071C2×C29semidirect
298. #2067C2×C29semidirect
299. #2055C2×C29semidirect
302. #1985C2×C29semidirect
303. #1973C2×C29semidirect
304. #1936C2×C29semidirect
305. #1928C2×C29semidirect
306. #1921C2×C29semidirect
307. #1880C2×C29semidirect
308. #1880C2×C29semidirect
466. C29#32627direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#25822
C29×#25482
C29×#20932
C29×#20712
C29×#20672
C29×#20552
C29×#20412
C29×#20142
C29×#19852
C29×#19732
C29×#19362
C29×#19282
C29×#19212
C29×#18802
#3262729