Finite Group Databasebeta

← C29×#27072 #20321972

Subgroups — C29×#27072 #20321972

Order 7424.

774 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#2513C211yesmaximal, characteristic, complemented
2C29×#2367C211yesmaximal, characteristic, complemented
3C29×#2092C211yesmaximal, characteristic, complemented
4C29×#2054C211yesmaximal, characteristic
5C29×#2042C211yesmaximal, characteristic, complemented
6C29×#2012C211yesmaximal, characteristic
7C29×#1968C211yesmaximal, characteristic, complemented
8C29×#1928C211yesmaximal, characteristic, complemented
9C29×#1925C211yesmaximal, characteristic, complemented
10C29×#1919C211yesmaximal, characteristic, complemented
11C29×#1916C211yesmaximal, characteristic, complemented
12C29×#1880C211yesmaximal, characteristic, complemented
13C29×#1879C211yesmaximal, characteristic
14C29×#1805C211yesmaximal, characteristic, complemented
15C4×C29×#102C211yesmaximal, characteristic, complemented
16C22×SD16×C29C2211yescharacteristic
17C22×D8×C29C2211yescharacteristic
18C2×C29×#124C2211yescharacteristic
19C2×C4×Q8×C29C2211yescharacteristic
20C2×C4×D4×C29C2211yescharacteristic
21C2×C29×#107C2211yescharacteristic
22C2×C29×#106C2211yescharacteristic
23C2×C29×C4⋊C8C2211yescharacteristic
24C2×C29×#103C2211yescharacteristic
25C2×C29×#103C2211yescharacteristic
26C2×C29×#103C2211yescharacteristic
27C2×C29×#102C2211yescharacteristic
28C2×C29×#102C2211yescharacteristic
29C2×C29×#102C2211yescharacteristic
30C2×C29×#102C2211yescharacteristic
31C2×C29×#102C2211yescharacteristic
32C2×C4×C8×C29C2211yescharacteristic
33C29×#397—21no—
34C29×#397—21no—
35C29×#391C2211yescharacteristic
36C29×#390C2211yescharacteristic
37C29×#390C2211yescharacteristic
38C29×#390C2211yescharacteristic
39C29×#390C2211yescharacteristic
40C29×#389C2211yescharacteristic
41C29×#388—21no—
42C29×#388—21no—
43C29×#388—21no—
44C29×#388—21no—
45C29×#385—21no—
46C29×#382C2211yescharacteristic
47C4×C4⋊C4×C29C2211yescharacteristic
48C4×C4⋊C4×C29C2211yescharacteristic
49C4×C4⋊C4×C29C2211yescharacteristic
50C4×C22⋊C4×C29—21no—
51C29×#340C2211yescharacteristic
52C29×#340C2211yescharacteristic
53C29×#340C2211yescharacteristic
54C29×#340C2211yescharacteristic
55C29×#336C2211yescharacteristic
56C29×#336C2211yescharacteristic
57C29×#336C2211yescharacteristic
58C29×#336C2211yescharacteristic
59C22×Q8×C29C2311yescharacteristic
60C22×D4×C29C2311yescharacteristic
61C22×D4×C29C2311yescharacteristic
62C23×C4×C29—21no—
63C2×SD16×C29—22no—
64C2×SD16×C29—22no—
65C2×SD16×C29—41no—
66C2×D8×C29—22no—
67C2×D8×C29—41no—
68C2×D8×C29—41no—
69C22×C8×C29C2311yescharacteristic
70C22×C8×C29C2311yescharacteristic
71C22×C8×C29C2311yescharacteristic
72C22×C8×C29C2311yescharacteristic
73C29×#124—22no—
74C29×#124—22no—
75C4×Q8×C29—22no—
76C4×Q8×C29—41no—
77C4×D4×C29—22no—
78C4×D4×C29—41no—
79C2×C4⋊C4×C29—21no—
80C2×C4⋊C4×C29—21no—
81C2×C4⋊C4×C29D411yescharacteristic
82C2×C4⋊C4×C29D411yescharacteristic
83C2×C4⋊C4×C29C2311yescharacteristic
84C2×C4⋊C4×C29C2311yescharacteristic
85C2×C4⋊C4×C29C2311yescharacteristic
86C2×C4⋊C4×C29C2311yescharacteristic
87C2×C4⋊C4×C29C2311yescharacteristic
88C2×C22⋊C4×C29—21no—
89C2×C22⋊C4×C29—21no—
90C2×C22⋊C4×C29—21no—
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×C42×C29—21no—
100C2×C42×C29—21no—
101C2×C42×C29—21no—
102C2×C42×C29C2311yescharacteristic
103C2×C42×C29C2311yescharacteristic
104C2×C42×C29C2311yescharacteristic
105C29×#107—41no—
106C29×#106—22no—
107C29×C4⋊C8—41no—
108C29×#103—22no—
109C29×#103—41no—
110C29×#103—41no—
111C29×#102—22no—
112C29×#102—22no—
113C29×#102—22no—
114C29×#102—41no—
115C29×#102—41no—
116C4×C8×C29—41no—
117C29×#95—21no—
118C29×#95—21no—
119C29×#95—21no—
120C29×#95—21no—
121C29×#95—21no—
122C29×#95—21no—
123C29×#95—21no—
124C29×#95D411yescharacteristic
125C29×#95D411yescharacteristic
126C24×C29—21no—
127C24×C29—21no—
128C2×Q8×C29—21no—
129C2×Q8×C29—21no—
130C2×Q8×C29—21no—
131C2×Q8×C29—21no—
132C2×Q8×C29—21no—
133C2×Q8×C29#4112yes—
134C2×D4×C29—21no—
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—
146C22×C4×C29—21no—
147C22×C4×C29—21no—
148C22×C4×C29—21no—
149C22×C4×C29—21no—
150C22×C4×C29—21no—
151C22×C4×C29—21no—
152C22×C4×C29—42no—
153C22×C4×C29—42no—
154C22×C4×C29—81no—
155C22×C4×C29C2×D411yescharacteristic
156C22×C4×C29C2×D411yescharacteristic
157C22×C4×C29C2×D411yescharacteristic
158C22×C4×C29C2×D411yescharacteristic
159C22×C4×C29C2×D411yescharacteristic
160C22×C4×C29C2×D411yescharacteristic
161C22×C4×C29C2411yescharacteristic
162SD16×C29—44no—
163D8×C29—44no—
164C2×C8×C29—21no—
165C2×C8×C29—21no—
166C2×C8×C29—21no—
167C2×C8×C29—21no—
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#4112yes—
176C4⋊C4×C29—22no—
177C4⋊C4×C29—21no—
178C4⋊C4×C29—21no—
179C4⋊C4×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—41no—
187C4⋊C4×C29—42no—
188C4⋊C4×C29—81no—
189C4⋊C4×C29#4112yes—
190C22⋊C4×C29—24no—
191C22⋊C4×C29—24no—
192C22⋊C4×C29—42no—
193C22⋊C4×C29—42no—
194C22⋊C4×C29—42no—
195C22⋊C4×C29—42no—
196C22⋊C4×C29—81no—
197C22⋊C4×C29—81no—
198C22⋊C4×C29—81no—
199C22⋊C4×C29—81no—
200C22⋊C4×C29—81no—
201C42×C29—21no—
202C42×C29—21no—
203C42×C29—21no—
204C42×C29—21no—
205C42×C29—21no—
206C42×C29—21no—
207C42×C29—42no—
208C42×C29—81no—
209C42×C29—81no—
210#27072C2911yesmaximal, characteristic, direct product factor, Sylow
211C23×C29—22no—
212C23×C29—41no—
213C23×C29—41no—
214C23×C29—41no—
215C23×C29—41no—
216C23×C29—41no—
217C23×C29—41no—
218C23×C29—41no—
219C23×C29—41no—
220C23×C29—41no—
221C23×C29—41no—
222C23×C29—41no—
223C23×C29—41no—
224C23×C29—41no—
225C23×C29C22×D411yescharacteristic
226Q8×C29—22no—
227Q8×C29—22no—
228Q8×C29—41no—
229Q8×C29—41no—
230D4×C29—22no—
231D4×C29—22no—
232D4×C29—41no—
233D4×C29—41no—
234D4×C29—41no—
235D4×C29—41no—
236D4×C29—41no—
237D4×C29—41no—
238C2×C4×C29—21no—
239C2×C4×C29—21no—
240C2×C4×C29—21no—
241C2×C4×C29—21no—
242C2×C4×C29—22no—
243C2×C4×C29—21no—
244C2×C4×C29—21no—
245C2×C4×C29—21no—
246C2×C4×C29—22no—
247C2×C4×C29—21no—
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—21no—
257C2×C4×C29—41no—
258C2×C4×C29—41no—
259C2×C4×C29—41no—
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—41no—
269C2×C4×C29—41no—
270C2×C4×C29—41no—
271C2×C4×C29—41no—
272C2×C4×C29—41no—
273C2×C4×C29—84no—
274C2×C4×C29#13512yes—
275C2×C4×C29C2×#4111yescharacteristic
276C2×C4×C29C2×#4111yescharacteristic
277C2×C4×C29C2×#4111yescharacteristic
278C2×C4×C29C2×#4111yescharacteristic
279C2×C4×C29H(5,𝔽2)11yescharacteristic
280C2×C4×C29H(5,𝔽2)11yescharacteristic
281C8×C29—22no—
282C8×C29—41no—
283C8×C29—41no—
284C8×C29—41no—
285#2513C2×C2911yescharacteristic, complemented
286#2367C2×C2911yescharacteristic, complemented
287#2092C2×C2911yescharacteristic, complemented
288#2054C2×C2911yescharacteristic
289#2042C2×C2911yescharacteristic, complemented
290#2012C2×C2911yescharacteristic
291#1968C2×C2911yescharacteristic, complemented
292#1928C2×C2911yescharacteristic, complemented
293#1925C2×C2911yescharacteristic, complemented
294#1919C2×C2911yescharacteristic, complemented
295#1916C2×C2911yescharacteristic, complemented
296#1880C2×C2911yescharacteristic, complemented
297#1879C2×C2911yescharacteristic
298#1805C2×C2911yescharacteristic, complemented
299C4×#102C2×C2911yescharacteristic, complemented
300C22×C29—42no—
301C22×C29—42no—
302C22×C29—42no—
303C22×C29—81no—
304C22×C29—81no—
305C22×C29—81no—
306C22×C29—81no—
307C22×C29—81no—
308C22×C29—81no—
309C22×C29—81no—
310C22×C29—81no—
311C22×C29—81no—
312C22×C29—81no—
313C22×C29—81no—
314C22×C29#52511yescharacteristic
315C22×C29#54611yescharacteristic
316C22×C29#55011yescharacteristic
317C22×C29C2×#13511yescharacteristic
318C22×C29#57511yescharacteristic
319C22×C29#57611yescharacteristic
320C22×C29#57711yescharacteristic
321C4×C29—22no—
322C4×C29—41no—
323C4×C29—41no—
324C4×C29—42no—
325C4×C29—41no—
326C4×C29—42no—
327C4×C29—41no—
328C4×C29—41no—
329C4×C29—81no—
330C4×C29—81no—
331C4×C29—81no—
332C4×C29—81no—
333C4×C29#52911yescharacteristic
334C4×C29#53811yescharacteristic
335C4×C29#55111yescharacteristic
336C4×C29#55311yescharacteristic
337C22×SD16C22×C2911yescharacteristic
338C22×D8C22×C2911yescharacteristic
339C2×#124C22×C2911yescharacteristic
340C2×C4×Q8C22×C2911yescharacteristic
341C2×C4×D4C22×C2911yescharacteristic
342C2×#107C22×C2911yescharacteristic
343C2×#106C22×C2911yescharacteristic
344C2×C4⋊C8C22×C2911yescharacteristic
345C2×#103C22×C2911yescharacteristic
346C2×#103C22×C2911yescharacteristic
347C2×#103C22×C2911yescharacteristic
348C2×#102C22×C2911yescharacteristic
349C2×#102C22×C2911yescharacteristic
350C2×#102C22×C2911yescharacteristic
351C2×#102C22×C2911yescharacteristic
352C2×#102C22×C2911yescharacteristic
353C2×C4×C8C22×C2911yescharacteristic
354#397—21no—
355#397—21no—
356#391C22×C2911yescharacteristic
357#390C22×C2911yescharacteristic
358#390C22×C2911yescharacteristic
359#390C22×C2911yescharacteristic
360#390C22×C2911yescharacteristic
361#389C22×C2911yescharacteristic
362#388—21no—
363#388—21no—
364#388—21no—
365#388—21no—
366#385—21no—
367#382C22×C2911yescharacteristic
368C4×C4⋊C4C22×C2911yescharacteristic
369C4×C4⋊C4C22×C2911yescharacteristic
370C4×C4⋊C4C22×C2911yescharacteristic
371C4×C22⋊C4—21no—
372#340C22×C2911yescharacteristic
373#340C22×C2911yescharacteristic
374#340C22×C2911yescharacteristic
375#340C22×C2911yescharacteristic
376#336C22×C2911yescharacteristic
377#336C22×C2911yescharacteristic
378#336C22×C2911yescharacteristic
379#336C22×C2911yescharacteristic
380C2×C29—82no—
381C2×C29—161no—
382C2×C29#246711yescharacteristic
383C2×C29#310211yescharacteristic
384C2×C29#311911yescharacteristic
385C2×C29#329711yescharacteristic
386C2×C29#332111yescharacteristic
387C2×C29#339411yescharacteristic
388C2×C29#340311yescharacteristic
389C22×Q8C23×C2911yescharacteristic
390C22×D4C23×C2911yescharacteristic
391C22×D4C23×C2911yescharacteristic
392C23×C4—21no—
393C2×SD16—22no—
394C2×SD16—22no—
395C2×SD16—41no—
396C2×D8—22no—
397C2×D8—41no—
398C2×D8—41no—
399C22×C8C23×C2911yescharacteristic
400C22×C8C23×C2911yescharacteristic
401C22×C8C23×C2911yescharacteristic
402C22×C8C23×C2911yescharacteristic
403#124—22no—
404#124—22no—
405C4×Q8—22no—
406C4×Q8—41no—
407C4×D4—22no—
408C4×D4—41no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4D4×C2911yescharacteristic
412C2×C4⋊C4D4×C2911yescharacteristic
413C2×C4⋊C4C23×C2911yescharacteristic
414C2×C4⋊C4C23×C2911yescharacteristic
415C2×C4⋊C4C23×C2911yescharacteristic
416C2×C4⋊C4C23×C2911yescharacteristic
417C2×C4⋊C4C23×C2911yescharacteristic
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C42—21no—
430C2×C42—21no—
431C2×C42—21no—
432C2×C42C23×C2911yescharacteristic
433C2×C42C23×C2911yescharacteristic
434C2×C42C23×C2911yescharacteristic
435#107—41no—
436#106—22no—
437C4⋊C8—41no—
438#103—22no—
439#103—41no—
440#103—41no—
441#102—22no—
442#102—22no—
443#102—22no—
444#102—41no—
445#102—41no—
446C4×C8—41no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95D4×C2911yescharacteristic
455#95D4×C2911yescharacteristic
456C29#2707211yescharacteristic, direct product factor, Sylow
457C24—21no—
458C24—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8#41×C2912yes—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4#41×C2912yes—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—81no—
486C22×C4C2×D4×C2911yescharacteristic
487C22×C4C2×D4×C2911yescharacteristic
488C22×C4C2×D4×C2911yescharacteristic
489C22×C4C2×D4×C2911yescharacteristic
490C22×C4C2×D4×C2911yescharacteristic
491C22×C4C2×D4×C2911yescharacteristic
492C22×C4C24×C2911yescharacteristic
493SD16—44no—
494D8—44no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8#41×C2912yes—
507C4⋊C4—22no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—41no—
518C4⋊C4—42no—
519C4⋊C4—81no—
520C4⋊C4#41×C2912yes—
521C22⋊C4—24no—
522C22⋊C4—24no—
523C22⋊C4—42no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—42no—
527C22⋊C4—81no—
528C22⋊C4—81no—
529C22⋊C4—81no—
530C22⋊C4—81no—
531C22⋊C4—81no—
532C42—21no—
533C42—21no—
534C42—21no—
535C42—21no—
536C42—21no—
537C42—21no—
538C42—42no—
539C42—81no—
540C42—81no—
541C23—22no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23C22×D4×C2911yescharacteristic
556Q8—22no—
557Q8—22no—
558Q8—41no—
559Q8—41no—
560D4—22no—
561D4—22no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—22no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—22no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—84no—
604C2×C4C29×#13512yes—
605C2×C4C2×#41×C2911yescharacteristic
606C2×C4C2×#41×C2911yescharacteristic
607C2×C4C2×#41×C2911yescharacteristic
608C2×C4C2×#41×C2911yescharacteristic
609C2×C4C29×H(5,𝔽2)11yescharacteristic
610C2×C4C29×H(5,𝔽2)11yescharacteristic
611C8—22no—
612C8—41no—
613C8—41no—
614C8—41no—
615C22—42no—
616C22—42no—
617C22—42no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22C29×#52511yescharacteristic
630C22C29×#54611yescharacteristic
631C22C29×#55011yescharacteristic
632C22C2×C29×#13511yescharacteristic
633C22C29×#57511yescharacteristic
634C22C29×#57611yescharacteristic
635C22C29×#57711yescharacteristic
636C4—22no—
637C4—42no—
638C4—41no—
639C4—42no—
640C4—41no—
641C4—41no—
642C4—41no—
643C4—41no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4C29×#52911yescharacteristic
649C4C29×#53811yescharacteristic
650C4C29×#55111yescharacteristic
651C4C29×#55311yescharacteristic
652C2—82no—
653C2—161no—
654C2C29×#246711yescharacteristic
655C2C29×#310211yescharacteristic
656C2C29×#311911yescharacteristic
657C2C29×#329711yescharacteristic
658C2C29×#332111yescharacteristic
659C2C29×#339411yescharacteristic
660C2C29×#340311yescharacteristic
subgroupG/H
center, socleC23×C29C22×D4
commutator, Frattini, cosocleC22×C4C24×C29
prime radicalC22×D8×C29C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C29 ◁ C4×C4⋊C4×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#2513C2semidirect
2. C29×#2367C2semidirect
3. C29×#2092C2semidirect
5. C29×#2042C2semidirect
7. C29×#1968C2semidirect
8. C29×#1928C2semidirect
9. C29×#1925C2semidirect
10. C29×#1919C2semidirect
11. C29×#1916C2semidirect
12. C29×#1880C2semidirect
14. C29×#1805C2semidirect
15. C4×C29×#102C2semidirect
210. #27072C29direct (N × H)
285. #2513C2×C29semidirect
286. #2367C2×C29semidirect
287. #2092C2×C29semidirect
289. #2042C2×C29semidirect
291. #1968C2×C29semidirect
292. #1928C2×C29semidirect
293. #1925C2×C29semidirect
294. #1919C2×C29semidirect
295. #1916C2×C29semidirect
296. #1880C2×C29semidirect
298. #1805C2×C29semidirect
299. C4×#102C2×C29semidirect
456. C29#27072direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#25132
C29×#23672
C29×#20922
C29×#20542
C29×#20422
C29×#20122
C29×#19682
C29×#19282
C29×#19252
C29×#19192
C29×#19162
C29×#18802
C29×#18792
C29×#18052
C4×C29×#1022
#2707229