Finite Group Databasebeta

← C29×#29373 #20324273

Subgroups — C29×#29373 #20324273

Order 7424.

854 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×C29×#124C211yesmaximal, characteristic, complemented
2C29×#2293C211yesmaximal, characteristic, complemented
3C29×#2101C211yesmaximal, characteristic, complemented
4C29×#2092C211yesmaximal, characteristic, complemented
5C29×#2042C211yesmaximal, characteristic, complemented
6C29×#2012C211yesmaximal, characteristic
7C29×#1927C211yesmaximal, characteristic, complemented
8C29×#1925C211yesmaximal, characteristic, complemented
9C29×#1880C211yesmaximal, characteristic, complemented
10C29×#1879C211yesmaximal, characteristic
11C29×#1879C211yesmaximal, characteristic
12C29×#1877C211yesmaximal, characteristic, complemented
13C29×#1864C211yesmaximal, characteristic, complemented
14C29×#1863C211yesmaximal, characteristic, complemented
15C29×#1839C211yesmaximal, characteristic, complemented
16C22×SD16×C29C2211yescharacteristic
17C22×D8×C29C2211yescharacteristic
18C2×C29×#124C2211yescharacteristic
19C2×C4×Q8×C29C2211yescharacteristic
20C2×C4×D4×C29C2211yescharacteristic
21C2×C4×D4×C29C2211yescharacteristic
22C2×C29×#117—21no—
23C2×C29×#107C2211yescharacteristic
24C2×C29×#106C2211yescharacteristic
25C2×C29×#103C2211yescharacteristic
26C2×C29×#103C2211yescharacteristic
27C2×C29×#103C2211yescharacteristic
28C2×C29×#102C2211yescharacteristic
29C2×C29×#102C2211yescharacteristic
30C2×C29×#102C2211yescharacteristic
31C2×C29×#102C2211yescharacteristic
32C2×C29×#102C2211yescharacteristic
33C29×#391C2211yescharacteristic
34C29×#390C2211yescharacteristic
35C29×#390C2211yescharacteristic
36C29×#390C2211yescharacteristic
37C29×#389C2211yescharacteristic
38C29×#389C2211yescharacteristic
39C29×#388—21no—
40C29×#388—21no—
41C29×#388—21no—
42C29×#388—21no—
43C29×#382C2211yescharacteristic
44C4×C4⋊C4×C29C2211yescharacteristic
45C4×C22⋊C4×C29—21no—
46C4×C22⋊C4×C29—21no—
47C4×C22⋊C4×C29—21no—
48C43×C29C2211yescharacteristic
49C29×#340C2211yescharacteristic
50C29×#340C2211yescharacteristic
51C29×#340C2211yescharacteristic
52C29×#340C2211yescharacteristic
53C29×#336C2211yescharacteristic
54C29×#336C2211yescharacteristic
55C29×#336C2211yescharacteristic
56C29×#336C2211yescharacteristic
57C29×#336C2211yescharacteristic
58C29×#336C2211yescharacteristic
59C22×Q8×C29C2311yescharacteristic
60C22×D4×C29C2311yescharacteristic
61C22×D4×C29C2311yescharacteristic
62C23×C4×C29—21no—
63C23×C4×C29—21no—
64C2×SD16×C29—22no—
65C2×SD16×C29—22no—
66C2×SD16×C29—41no—
67C2×D8×C29—22no—
68C2×D8×C29—22no—
69C2×D8×C29—41no—
70C22×C8×C29C2311yescharacteristic
71C22×C8×C29C2311yescharacteristic
72C22×C8×C29C2311yescharacteristic
73C22×C8×C29C2311yescharacteristic
74C29×#124—22no—
75C29×#124—22no—
76C4×Q8×C29—41no—
77C4×Q8×C29—41no—
78C4×D4×C29—22no—
79C4×D4×C29—22no—
80C4×D4×C29—41no—
81C4×D4×C29—41no—
82C29×#117—44no—
83C2×C4⋊C4×C29—21no—
84C2×C4⋊C4×C29—21no—
85C2×C4⋊C4×C29—21no—
86C2×C4⋊C4×C29C2311yescharacteristic
87C2×C4⋊C4×C29C2311yescharacteristic
88C2×C4⋊C4×C29C2311yescharacteristic
89C2×C4⋊C4×C29C2311yescharacteristic
90C2×C4⋊C4×C29C2311yescharacteristic
91C2×C22⋊C4×C29—21no—
92C2×C22⋊C4×C29—21no—
93C2×C22⋊C4×C29—21no—
94C2×C22⋊C4×C29—21no—
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×C42×C29—21no—
102C2×C42×C29—21no—
103C2×C42×C29D411yescharacteristic
104C2×C42×C29D411yescharacteristic
105C2×C42×C29D411yescharacteristic
106C2×C42×C29D411yescharacteristic
107C2×C42×C29C2311yescharacteristic
108C2×C42×C29C2311yescharacteristic
109C2×C42×C29C2311yescharacteristic
110C29×#107—41no—
111C29×#106—41no—
112C29×#103—22no—
113C29×#103—22no—
114C29×#103—41no—
115C29×#102—22no—
116C29×#102—22no—
117C29×#102—41no—
118C29×#102—41no—
119C29×#102—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—21no—
130C2×Q8×C29—21no—
131C2×Q8×C29—21no—
132C2×Q8×C29—21no—
133C2×Q8×C29—21no—
134C2×Q8×C29#4112yes—
135C2×D4×C29—21no—
136C2×D4×C29—21no—
137C2×D4×C29—21no—
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#4112yes—
146C2×D4×C29#4112yes—
147C22×C4×C29—24no—
148C22×C4×C29—21no—
149C22×C4×C29—21no—
150C22×C4×C29—21no—
151C22×C4×C29—21no—
152C22×C4×C29—21no—
153C22×C4×C29—21no—
154C22×C4×C29—42no—
155C22×C4×C29—42no—
156C22×C4×C29—42no—
157C22×C4×C29—42no—
158C22×C4×C29—42no—
159C22×C4×C29C2×D411yescharacteristic
160C22×C4×C29C2×D411yescharacteristic
161C22×C4×C29C2×D411yescharacteristic
162C22×C4×C29C2×D411yescharacteristic
163C22×C4×C29C2×D411yescharacteristic
164C22×C4×C29C2×D411yescharacteristic
165C22×C4×C29C2411yescharacteristic
166SD16×C29—44no—
167D8×C29—44no—
168C2×C8×C29—21no—
169C2×C8×C29—21no—
170C2×C8×C29—21no—
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—
180C4⋊C4×C29—21no—
181C4⋊C4×C29—21no—
182C4⋊C4×C29—21no—
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—42no—
190C4⋊C4×C29—42no—
191C4⋊C4×C29—42no—
192C4⋊C4×C29#4112yes—
193C22⋊C4×C29—24no—
194C22⋊C4×C29—24no—
195C22⋊C4×C29—24no—
196C22⋊C4×C29—42no—
197C22⋊C4×C29—42no—
198C22⋊C4×C29—42no—
199C22⋊C4×C29—42no—
200C22⋊C4×C29—42no—
201C22⋊C4×C29—42no—
202C22⋊C4×C29—42no—
203C42×C29—22no—
204C42×C29—22no—
205C42×C29—21no—
206C42×C29—21no—
207C42×C29—21no—
208C42×C29—21no—
209C42×C29—21no—
210C42×C29—21no—
211C42×C29—41no—
212C42×C29—41no—
213C42×C29—42no—
214C42×C29—42no—
215#29373C2911yesmaximal, characteristic, direct product factor, Sylow
216C23×C29—22no—
217C23×C29—22no—
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×C29C22×D411yescharacteristic
231Q8×C29—22no—
232Q8×C29—22no—
233Q8×C29—41no—
234Q8×C29—41no—
235D4×C29—22no—
236D4×C29—22no—
237D4×C29—22no—
238D4×C29—22no—
239D4×C29—41no—
240D4×C29—41no—
241D4×C29—41no—
242D4×C29—41no—
243C2×C4×C29—21no—
244C2×C4×C29—21no—
245C2×C4×C29—21no—
246C2×C4×C29—21no—
247C2×C4×C29—21no—
248C2×C4×C29—21no—
249C2×C4×C29—21no—
250C2×C4×C29—22no—
251C2×C4×C29—22no—
252C2×C4×C29—21no—
253C2×C4×C29—21no—
254C2×C4×C29—21no—
255C2×C4×C29—21no—
256C2×C4×C29—21no—
257C2×C4×C29—21no—
258C2×C4×C29—21no—
259C2×C4×C29—21no—
260C2×C4×C29—21no—
261C2×C4×C29—48no—
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—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—84no—
279C2×C4×C29#13512yes—
280C2×C4×C29AGL(1,ℤ/8)12yes—
281C2×C4×C29C2×#4111yescharacteristic
282C2×C4×C29C2×#4111yescharacteristic
283C2×C4×C29C2×#4111yescharacteristic
284C2×C4×C29C2×#4111yescharacteristic
285C2×C4×C29H(5,𝔽2)11yescharacteristic
286C2×C4×C29H(5,𝔽2)11yescharacteristic
287C8×C29—41no—
288C8×C29—41no—
289C8×C29—41no—
290C8×C29—41no—
291C4×#124C2×C2911yescharacteristic, complemented
292#2293C2×C2911yescharacteristic, complemented
293#2101C2×C2911yescharacteristic, complemented
294#2092C2×C2911yescharacteristic, complemented
295#2042C2×C2911yescharacteristic, complemented
296#2012C2×C2911yescharacteristic
297#1927C2×C2911yescharacteristic, complemented
298#1925C2×C2911yescharacteristic, complemented
299#1880C2×C2911yescharacteristic, complemented
300#1879C2×C2911yescharacteristic
301#1879C2×C2911yescharacteristic
302#1877C2×C2911yescharacteristic, complemented
303#1864C2×C2911yescharacteristic, complemented
304#1863C2×C2911yescharacteristic, complemented
305#1839C2×C2911yescharacteristic, complemented
306C22×C29—42no—
307C22×C29—42no—
308C22×C29—42no—
309C22×C29—42no—
310C22×C29—42no—
311C22×C29—42no—
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#52511yescharacteristic
321C22×C29#52511yescharacteristic
322C22×C29#53511yescharacteristic
323C22×C29C2×#13511yescharacteristic
324C22×C29C2×AGL(1,ℤ/8)11yescharacteristic
325C22×C29#57511yescharacteristic
326C22×C29#57511yescharacteristic
327C4×C29—22no—
328C4×C29—22no—
329C4×C29—41no—
330C4×C29—41no—
331C4×C29—42no—
332C4×C29—41no—
333C4×C29—42no—
334C4×C29—41no—
335C4×C29—81no—
336C4×C29—81no—
337C4×C29—81no—
338C4×C29—81no—
339C4×C29#55111yescharacteristic
340C4×C29#55111yescharacteristic
341C4×C29#55311yescharacteristic
342C4×C29#55311yescharacteristic
343C22×SD16C22×C2911yescharacteristic
344C22×D8C22×C2911yescharacteristic
345C2×#124C22×C2911yescharacteristic
346C2×C4×Q8C22×C2911yescharacteristic
347C2×C4×D4C22×C2911yescharacteristic
348C2×C4×D4C22×C2911yescharacteristic
349C2×#117—21no—
350C2×#107C22×C2911yescharacteristic
351C2×#106C22×C2911yescharacteristic
352C2×#103C22×C2911yescharacteristic
353C2×#103C22×C2911yescharacteristic
354C2×#103C22×C2911yescharacteristic
355C2×#102C22×C2911yescharacteristic
356C2×#102C22×C2911yescharacteristic
357C2×#102C22×C2911yescharacteristic
358C2×#102C22×C2911yescharacteristic
359C2×#102C22×C2911yescharacteristic
360#391C22×C2911yescharacteristic
361#390C22×C2911yescharacteristic
362#390C22×C2911yescharacteristic
363#390C22×C2911yescharacteristic
364#389C22×C2911yescharacteristic
365#389C22×C2911yescharacteristic
366#388—21no—
367#388—21no—
368#388—21no—
369#388—21no—
370#382C22×C2911yescharacteristic
371C4×C4⋊C4C22×C2911yescharacteristic
372C4×C22⋊C4—21no—
373C4×C22⋊C4—21no—
374C4×C22⋊C4—21no—
375C43C22×C2911yescharacteristic
376#340C22×C2911yescharacteristic
377#340C22×C2911yescharacteristic
378#340C22×C2911yescharacteristic
379#340C22×C2911yescharacteristic
380#336C22×C2911yescharacteristic
381#336C22×C2911yescharacteristic
382#336C22×C2911yescharacteristic
383#336C22×C2911yescharacteristic
384#336C22×C2911yescharacteristic
385#336C22×C2911yescharacteristic
386C2×C29—82no—
387C2×C29—82no—
388C2×C29#259811yescharacteristic
389C2×C29#310211yescharacteristic
390C2×C29#310611yescharacteristic
391C2×C29#311111yescharacteristic
392C2×C29#311411yescharacteristic
393C2×C29#321111yescharacteristic
394C2×C29#321411yescharacteristic
395C22×Q8C23×C2911yescharacteristic
396C22×D4C23×C2911yescharacteristic
397C22×D4C23×C2911yescharacteristic
398C23×C4—21no—
399C23×C4—21no—
400C2×SD16—22no—
401C2×SD16—22no—
402C2×SD16—41no—
403C2×D8—22no—
404C2×D8—22no—
405C2×D8—41no—
406C22×C8C23×C2911yescharacteristic
407C22×C8C23×C2911yescharacteristic
408C22×C8C23×C2911yescharacteristic
409C22×C8C23×C2911yescharacteristic
410#124—22no—
411#124—22no—
412C4×Q8—41no—
413C4×Q8—41no—
414C4×D4—22no—
415C4×D4—22no—
416C4×D4—41no—
417C4×D4—41no—
418#117—44no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4C23×C2911yescharacteristic
423C2×C4⋊C4C23×C2911yescharacteristic
424C2×C4⋊C4C23×C2911yescharacteristic
425C2×C4⋊C4C23×C2911yescharacteristic
426C2×C4⋊C4C23×C2911yescharacteristic
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C42—21no—
438C2×C42—21no—
439C2×C42D4×C2911yescharacteristic
440C2×C42D4×C2911yescharacteristic
441C2×C42D4×C2911yescharacteristic
442C2×C42D4×C2911yescharacteristic
443C2×C42C23×C2911yescharacteristic
444C2×C42C23×C2911yescharacteristic
445C2×C42C23×C2911yescharacteristic
446#107—41no—
447#106—41no—
448#103—22no—
449#103—22no—
450#103—41no—
451#102—22no—
452#102—22no—
453#102—41no—
454#102—41no—
455#102—41no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463C29#2937311yescharacteristic, direct product factor, Sylow
464C24—21no—
465C24—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8#41×C2912yes—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4#41×C2912yes—
483C2×D4#41×C2912yes—
484C22×C4—24no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4C2×D4×C2911yescharacteristic
497C22×C4C2×D4×C2911yescharacteristic
498C22×C4C2×D4×C2911yescharacteristic
499C22×C4C2×D4×C2911yescharacteristic
500C22×C4C2×D4×C2911yescharacteristic
501C22×C4C2×D4×C2911yescharacteristic
502C22×C4C24×C2911yescharacteristic
503SD16—44no—
504D8—44no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4#41×C2912yes—
530C22⋊C4—24no—
531C22⋊C4—24no—
532C22⋊C4—24no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C42—22no—
541C42—22no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—41no—
549C42—41no—
550C42—42no—
551C42—42no—
552C23—22no—
553C23—22no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23C22×D4×C2911yescharacteristic
567Q8—22no—
568Q8—22no—
569Q8—41no—
570Q8—41no—
571D4—22no—
572D4—22no—
573D4—22no—
574D4—22no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—48no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
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—84no—
615C2×C4C29×#13512yes—
616C2×C4C29×AGL(1,ℤ/8)12yes—
617C2×C4C2×#41×C2911yescharacteristic
618C2×C4C2×#41×C2911yescharacteristic
619C2×C4C2×#41×C2911yescharacteristic
620C2×C4C2×#41×C2911yescharacteristic
621C2×C4C29×H(5,𝔽2)11yescharacteristic
622C2×C4C29×H(5,𝔽2)11yescharacteristic
623C8—41no—
624C8—41no—
625C8—41no—
626C8—41no—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—42no—
631C22—42no—
632C22—42no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22C29×#52511yescharacteristic
642C22C29×#52511yescharacteristic
643C22C29×#53511yescharacteristic
644C22C2×C29×#13511yescharacteristic
645C22C2×C29×AGL(1,ℤ/8)11yescharacteristic
646C22C29×#57511yescharacteristic
647C22C29×#57511yescharacteristic
648C4—22no—
649C4—22no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—42no—
654C4—41no—
655C4—42no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4C29×#55111yescharacteristic
661C4C29×#55111yescharacteristic
662C4C29×#55311yescharacteristic
663C4C29×#55311yescharacteristic
664C2—82no—
665C2—82no—
666C2C29×#259811yescharacteristic
667C2C29×#310211yescharacteristic
668C2C29×#310611yescharacteristic
669C2C29×#311111yescharacteristic
670C2C29×#311411yescharacteristic
671C2C29×#321111yescharacteristic
672C2C29×#321411yescharacteristic
subgroupG/H
center, socleC23×C29C22×D4
commutator, Frattini, cosocleC22×C4C24×C29
prime radicalC22×D8×C29C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C29 ◁ C43×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C4×C29×#124C2semidirect
2. C29×#2293C2semidirect
3. C29×#2101C2semidirect
4. C29×#2092C2semidirect
5. C29×#2042C2semidirect
7. C29×#1927C2semidirect
8. C29×#1925C2semidirect
9. C29×#1880C2semidirect
12. C29×#1877C2semidirect
13. C29×#1864C2semidirect
14. C29×#1863C2semidirect
15. C29×#1839C2semidirect
215. #29373C29direct (N × H)
291. C4×#124C2×C29semidirect
292. #2293C2×C29semidirect
293. #2101C2×C29semidirect
294. #2092C2×C29semidirect
295. #2042C2×C29semidirect
297. #1927C2×C29semidirect
298. #1925C2×C29semidirect
299. #1880C2×C29semidirect
302. #1877C2×C29semidirect
303. #1864C2×C29semidirect
304. #1863C2×C29semidirect
305. #1839C2×C29semidirect
463. C29#29373direct (N × H)

Maximal subgroups

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

subgroupindex
C4×C29×#1242
C29×#22932
C29×#21012
C29×#20922
C29×#20422
C29×#20122
C29×#19272
C29×#19252
C29×#18802
C29×#18792
C29×#18772
C29×#18642
C29×#18632
C29×#18392
#2937329