Finite Group Databasebeta

← C29×#24983 #20319883

Subgroups — C29×#24983 #20319883

Order 7424.

778 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#2538C211yesmaximal, characteristic
2C29×#2352C211yesmaximal, characteristic
3C29×#2077C211yesmaximal, characteristic, complemented
4C29×#2077C211yesmaximal, characteristic, complemented
5C29×#2035C211yesmaximal, characteristic, complemented
6C29×#2035C211yesmaximal, characteristic, complemented
7C29×#1955C211yesmaximal, characteristic
8C29×#1948C211yesmaximal, characteristic, complemented
9C29×#1873C211yesmaximal, characteristic, complemented
10C29×#1872C211yesmaximal, characteristic, complemented
11C29×#1836C211yesmaximal, characteristic, complemented
12C29×#1825C211yesmaximal, characteristic, complemented
13C29×#1824C211yesmaximal, characteristic, complemented
14C29×#1805C211yesmaximal, characteristic, complemented
15C29×#1763C211yesmaximal, characteristic, complemented
16C2×C29×C22⋊Q8C2211yescharacteristic
17C2×C29×C22⋊Q8C2211yescharacteristic
18C2×C4×Q8×C29C2211yescharacteristic
19C2×C4×D4×C29C2211yescharacteristic
20C2×C29×#117C2211yescharacteristic
21C22×C4⋊C4×C29C2211yescharacteristic
22C2×C29×#106C2211yescharacteristic
23C2×C29×#106C2211yescharacteristic
24C2×C29×C4⋊C8C2211yescharacteristic
25C2×C29×#103C2211yescharacteristic
26C2×C29×#103C2211yescharacteristic
27C2×C29×#103C2211yescharacteristic
28C2×C29×#103C2211yescharacteristic
29C2×C29×C22⋊C8C2211yescharacteristic
30C2×C29×C22⋊C8C2211yescharacteristic
31C2×C29×C22⋊C8C2211yescharacteristic
32C2×C29×C22⋊C8C2211yescharacteristic
33C2×C29×#97C2211yescharacteristic
34C29×#396—21no—
35C29×#396—21no—
36C29×#390—21no—
37C29×#389—21no—
38C29×#388—21no—
39C29×#387—21no—
40C29×#386—21no—
41C29×#384C2211yescharacteristic
42C29×#382C2211yescharacteristic
43C29×#380C2211yescharacteristic
44C29×#380C2211yescharacteristic
45C29×#380C2211yescharacteristic
46C29×#380C2211yescharacteristic
47C4×C4⋊C4×C29C2211yescharacteristic
48C4×C22⋊C4×C29—21no—
49C29×#340C2211yescharacteristic
50C29×#340C2211yescharacteristic
51C29×#340C2211yescharacteristic
52C29×#340C2211yescharacteristic
53C29×#340C2211yescharacteristic
54C29×#340C2211yescharacteristic
55C29×#340C2211yescharacteristic
56C29×#340C2211yescharacteristic
57C29×#340C2211yescharacteristic
58C29×#340C2211yescharacteristic
59C22×Q8×C29C2311yescharacteristic
60C22×D4×C29D411yescharacteristic
61C23×C4×C29—21no—
62C23×C4×C29C2311yescharacteristic
63C23×C4×C29C2311yescharacteristic
64C22×C8×C29C2311yescharacteristic
65C22×C8×C29C2311yescharacteristic
66C22×C8×C29C2311yescharacteristic
67C22×C8×C29C2311yescharacteristic
68C29×C22⋊Q8—22no—
69C29×C22⋊Q8—22no—
70C29×C22⋊Q8—41no—
71C29×C22⋊Q8—41no—
72C4×Q8×C29—22no—
73C4×Q8×C29—22no—
74C4×D4×C29—22no—
75C4×D4×C29—22no—
76C29×#117—22no—
77C29×#117—41no—
78C2×C4⋊C4×C29—22no—
79C2×C4⋊C4×C29—21no—
80C2×C4⋊C4×C29—21no—
81C2×C4⋊C4×C29—21no—
82C2×C4⋊C4×C29—21no—
83C2×C4⋊C4×C29—21no—
84C2×C4⋊C4×C29—21no—
85C2×C4⋊C4×C29—41no—
86C2×C4⋊C4×C29D411yescharacteristic
87C2×C4⋊C4×C29C2311yescharacteristic
88C2×C4⋊C4×C29C2311yescharacteristic
89C2×C4⋊C4×C29C2311yescharacteristic
90C2×C4⋊C4×C29C2311yescharacteristic
91C2×C4⋊C4×C29C2311yescharacteristic
92C2×C4⋊C4×C29C2311yescharacteristic
93C2×C4⋊C4×C29C2311yescharacteristic
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×C22⋊C4×C29D411yescharacteristic
102C2×C22⋊C4×C29D411yescharacteristic
103C2×C42×C29—21no—
104C2×C42×C29—21no—
105C2×C42×C29—21no—
106C2×C42×C29C2311yescharacteristic
107C29×#106—41no—
108C29×#106—41no—
109C29×C4⋊C8—22no—
110C29×#103—22no—
111C29×#103—22no—
112C29×#103—41no—
113C29×#103—41no—
114C29×C22⋊C8—41no—
115C29×C22⋊C8—41no—
116C29×C22⋊C8—41no—
117C29×C22⋊C8—41no—
118C29×#97—22no—
119C29×#95—21no—
120C29×#95—21no—
121C29×#95—21no—
122C29×#95—21no—
123C29×#95—21no—
124C29×#95—21no—
125C29×#95—21no—
126C24×C29C2×D411yescharacteristic
127C24×C29C2×D411yescharacteristic
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—22no—
135C2×D4×C29—22no—
136C2×D4×C29—41no—
137C22×C4×C29—21no—
138C22×C4×C29—21no—
139C22×C4×C29—21no—
140C22×C4×C29—21no—
141C22×C4×C29—21no—
142C22×C4×C29—21no—
143C22×C4×C29—21no—
144C22×C4×C29—21no—
145C22×C4×C29—21no—
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—21no—
153C22×C4×C29—21no—
154C22×C4×C29—21no—
155C22×C4×C29—21no—
156C22×C4×C29—21no—
157C22×C4×C29—42no—
158C22×C4×C29—42no—
159C22×C4×C29—81no—
160C22×C4×C29C2×D411yescharacteristic
161C22×C4×C29C2×D411yescharacteristic
162C22×C4×C29C2×D411yescharacteristic
163C22×C4×C29C2×D411yescharacteristic
164C22×C4×C29C2411yescharacteristic
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—21no—
176C2×C8×C29—21no—
177C4⋊C4×C29—22no—
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—21no—
187C4⋊C4×C29—21no—
188C4⋊C4×C29—21no—
189C4⋊C4×C29—21no—
190C4⋊C4×C29—21no—
191C4⋊C4×C29—42no—
192C4⋊C4×C29—42no—
193C4⋊C4×C29—42no—
194C4⋊C4×C29—42no—
195C4⋊C4×C29—42no—
196C4⋊C4×C29—81no—
197C4⋊C4×C29#4112yes—
198C22⋊C4×C29—22no—
199C22⋊C4×C29—22no—
200C22⋊C4×C29—42no—
201C22⋊C4×C29—42no—
202C22⋊C4×C29—42no—
203C22⋊C4×C29—42no—
204C22⋊C4×C29—81no—
205C22⋊C4×C29—81no—
206C22⋊C4×C29—81no—
207C42×C29—42no—
208C42×C29—42no—
209C42×C29—81no—
210C42×C29#4112yes—
211C42×C29#4112yes—
212#24983C2911yesmaximal, characteristic, direct product factor, Sylow
213C23×C29—21no—
214C23×C29—21no—
215C23×C29—21no—
216C23×C29—21no—
217C23×C29—21no—
218C23×C29—21no—
219C23×C29—21no—
220C23×C29—21no—
221C23×C29—21no—
222C23×C29—21no—
223C23×C29—21no—
224C23×C29—21no—
225C23×C29—21no—
226C23×C29#13712yes—
227C23×C29C22×D411yescharacteristic
228Q8×C29—22no—
229Q8×C29—22no—
230Q8×C29—41no—
231Q8×C29—41no—
232D4×C29—44no—
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—22no—
241C2×C4×C29—22no—
242C2×C4×C29—21no—
243C2×C4×C29—21no—
244C2×C4×C29—21no—
245C2×C4×C29—41no—
246C2×C4×C29—41no—
247C2×C4×C29—41no—
248C2×C4×C29—41no—
249C2×C4×C29—41no—
250C2×C4×C29—41no—
251C2×C4×C29—41no—
252C2×C4×C29—41no—
253C2×C4×C29—41no—
254C2×C4×C29—41no—
255C2×C4×C29—41no—
256C2×C4×C29—41no—
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—41no—
274C2×C4×C29—41no—
275C2×C4×C29—84no—
276C2×C4×C29#12312yes—
277C2×C4×C29#12312yes—
278C2×C4×C29C2×#4111yescharacteristic
279C2×C4×C29C2×#4111yescharacteristic
280C2×C4×C29C2×#4111yescharacteristic
281C2×C4×C29C2×#4111yescharacteristic
282C2×C4×C29H(5,𝔽2)11yescharacteristic
283C2×C4×C29H(5,𝔽2)11yescharacteristic
284C8×C29—41no—
285C8×C29—41no—
286C8×C29—41no—
287C8×C29—41no—
288#2538C2×C2911yescharacteristic
289#2352C2×C2911yescharacteristic
290#2077C2×C2911yescharacteristic, complemented
291#2077C2×C2911yescharacteristic, complemented
292#2035C2×C2911yescharacteristic, complemented
293#2035C2×C2911yescharacteristic, complemented
294#1955C2×C2911yescharacteristic
295#1948C2×C2911yescharacteristic, complemented
296#1873C2×C2911yescharacteristic, complemented
297#1872C2×C2911yescharacteristic, complemented
298#1836C2×C2911yescharacteristic, complemented
299#1825C2×C2911yescharacteristic, complemented
300#1824C2×C2911yescharacteristic, complemented
301#1805C2×C2911yescharacteristic, complemented
302#1763C2×C2911yescharacteristic, complemented
303C22×C29—22no—
304C22×C29—22no—
305C22×C29—22no—
306C22×C29—41no—
307C22×C29—41no—
308C22×C29—41no—
309C22×C29—41no—
310C22×C29—41no—
311C22×C29—41no—
312C22×C29—41no—
313C22×C29—41no—
314C22×C29—41no—
315C22×C29—41no—
316C22×C29—41no—
317C22×C29C2×#12311yescharacteristic
318C22×C29#54611yescharacteristic
319C22×C29#54611yescharacteristic
320C22×C29C2×#13711yescharacteristic
321C22×C29#57511yescharacteristic
322C22×C29#57711yescharacteristic
323C22×C29#57711yescharacteristic
324C4×C29—22no—
325C4×C29—22no—
326C4×C29—41no—
327C4×C29—41no—
328C4×C29—42no—
329C4×C29—42no—
330C4×C29—81no—
331C4×C29—81no—
332C4×C29—81no—
333C4×C29—81no—
334C4×C29—81no—
335C4×C29—81no—
336C4×C29#52911yescharacteristic
337C4×C29#54011yescharacteristic
338C4×C29#55311yescharacteristic
339C4×C29#55511yescharacteristic
340C2×C22⋊Q8C22×C2911yescharacteristic
341C2×C22⋊Q8C22×C2911yescharacteristic
342C2×C4×Q8C22×C2911yescharacteristic
343C2×C4×D4C22×C2911yescharacteristic
344C2×#117C22×C2911yescharacteristic
345C22×C4⋊C4C22×C2911yescharacteristic
346C2×#106C22×C2911yescharacteristic
347C2×#106C22×C2911yescharacteristic
348C2×C4⋊C8C22×C2911yescharacteristic
349C2×#103C22×C2911yescharacteristic
350C2×#103C22×C2911yescharacteristic
351C2×#103C22×C2911yescharacteristic
352C2×#103C22×C2911yescharacteristic
353C2×C22⋊C8C22×C2911yescharacteristic
354C2×C22⋊C8C22×C2911yescharacteristic
355C2×C22⋊C8C22×C2911yescharacteristic
356C2×C22⋊C8C22×C2911yescharacteristic
357C2×#97C22×C2911yescharacteristic
358#396—21no—
359#396—21no—
360#390—21no—
361#389—21no—
362#388—21no—
363#387—21no—
364#386—21no—
365#384C22×C2911yescharacteristic
366#382C22×C2911yescharacteristic
367#380C22×C2911yescharacteristic
368#380C22×C2911yescharacteristic
369#380C22×C2911yescharacteristic
370#380C22×C2911yescharacteristic
371C4×C4⋊C4C22×C2911yescharacteristic
372C4×C22⋊C4—21no—
373#340C22×C2911yescharacteristic
374#340C22×C2911yescharacteristic
375#340C22×C2911yescharacteristic
376#340C22×C2911yescharacteristic
377#340C22×C2911yescharacteristic
378#340C22×C2911yescharacteristic
379#340C22×C2911yescharacteristic
380#340C22×C2911yescharacteristic
381#340C22×C2911yescharacteristic
382#340C22×C2911yescharacteristic
383C2×C29—42no—
384C2×C29—81no—
385C2×C29#242011yescharacteristic
386C2×C29#309511yescharacteristic
387C2×C29#309911yescharacteristic
388C2×C29#331111yescharacteristic
389C2×C29#331611yescharacteristic
390C2×C29#331711yescharacteristic
391C2×C29#332011yescharacteristic
392C22×Q8C23×C2911yescharacteristic
393C22×D4D4×C2911yescharacteristic
394C23×C4—21no—
395C23×C4C23×C2911yescharacteristic
396C23×C4C23×C2911yescharacteristic
397C22×C8C23×C2911yescharacteristic
398C22×C8C23×C2911yescharacteristic
399C22×C8C23×C2911yescharacteristic
400C22×C8C23×C2911yescharacteristic
401C22⋊Q8—22no—
402C22⋊Q8—22no—
403C22⋊Q8—41no—
404C22⋊Q8—41no—
405C4×Q8—22no—
406C4×Q8—22no—
407C4×D4—22no—
408C4×D4—22no—
409#117—22no—
410#117—41no—
411C2×C4⋊C4—22no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—41no—
419C2×C4⋊C4D4×C2911yescharacteristic
420C2×C4⋊C4C23×C2911yescharacteristic
421C2×C4⋊C4C23×C2911yescharacteristic
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⋊C4D4×C2911yescharacteristic
435C2×C22⋊C4D4×C2911yescharacteristic
436C2×C42—21no—
437C2×C42—21no—
438C2×C42—21no—
439C2×C42C23×C2911yescharacteristic
440#106—41no—
441#106—41no—
442C4⋊C8—22no—
443#103—22no—
444#103—22no—
445#103—41no—
446#103—41no—
447C22⋊C8—41no—
448C22⋊C8—41no—
449C22⋊C8—41no—
450C22⋊C8—41no—
451#97—22no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459C29#2498311yescharacteristic, direct product factor, Sylow
460C24C2×D4×C2911yescharacteristic
461C24C2×D4×C2911yescharacteristic
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8#41×C2912yes—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—41no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
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—81no—
494C22×C4C2×D4×C2911yescharacteristic
495C22×C4C2×D4×C2911yescharacteristic
496C22×C4C2×D4×C2911yescharacteristic
497C22×C4C2×D4×C2911yescharacteristic
498C22×C4C24×C2911yescharacteristic
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C4⋊C4—22no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—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—42no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4—42no—
530C4⋊C4—81no—
531C4⋊C4#41×C2912yes—
532C22⋊C4—22no—
533C22⋊C4—22no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—81no—
539C22⋊C4—81no—
540C22⋊C4—81no—
541C42—42no—
542C42—42no—
543C42—81no—
544C42#41×C2912yes—
545C42#41×C2912yes—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23C29×#13712yes—
560C23C22×D4×C2911yescharacteristic
561Q8—22no—
562Q8—22no—
563Q8—41no—
564Q8—41no—
565D4—44no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—41no—
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—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—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—84no—
609C2×C4C29×#12312yes—
610C2×C4C29×#12312yes—
611C2×C4C2×#41×C2911yescharacteristic
612C2×C4C2×#41×C2911yescharacteristic
613C2×C4C2×#41×C2911yescharacteristic
614C2×C4C2×#41×C2911yescharacteristic
615C2×C4C29×H(5,𝔽2)11yescharacteristic
616C2×C4C29×H(5,𝔽2)11yescharacteristic
617C8—41no—
618C8—41no—
619C8—41no—
620C8—41no—
621C22—22no—
622C22—22no—
623C22—22no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22C2×C29×#12311yescharacteristic
636C22C29×#54611yescharacteristic
637C22C29×#54611yescharacteristic
638C22C2×C29×#13711yescharacteristic
639C22C29×#57511yescharacteristic
640C22C29×#57711yescharacteristic
641C22C29×#57711yescharacteristic
642C4—22no—
643C4—22no—
644C4—41no—
645C4—41no—
646C4—42no—
647C4—42no—
648C4—81no—
649C4—81no—
650C4—81no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4C29×#52911yescharacteristic
655C4C29×#54011yescharacteristic
656C4C29×#55311yescharacteristic
657C4C29×#55511yescharacteristic
658C2—42no—
659C2—81no—
660C2C29×#242011yescharacteristic
661C2C29×#309511yescharacteristic
662C2C29×#309911yescharacteristic
663C2C29×#331111yescharacteristic
664C2C29×#331611yescharacteristic
665C2C29×#331711yescharacteristic
666C2C29×#332011yescharacteristic
subgroupG/H
center, socleC23×C29C22×D4
commutator, Frattini, cosocleC22×C4C24×C29
prime radicalC22×D4×C29D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C29 ◁ C2×C4×D4×C29 ◁ G

Complements

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

NH ≅ G/Ntype
3. C29×#2077C2semidirect
4. C29×#2077C2semidirect
5. C29×#2035C2semidirect
6. C29×#2035C2semidirect
8. C29×#1948C2semidirect
9. C29×#1873C2semidirect
10. C29×#1872C2semidirect
11. C29×#1836C2semidirect
12. C29×#1825C2semidirect
13. C29×#1824C2semidirect
14. C29×#1805C2semidirect
15. C29×#1763C2semidirect
212. #24983C29direct (N × H)
290. #2077C2×C29semidirect
291. #2077C2×C29semidirect
292. #2035C2×C29semidirect
293. #2035C2×C29semidirect
295. #1948C2×C29semidirect
296. #1873C2×C29semidirect
297. #1872C2×C29semidirect
298. #1836C2×C29semidirect
299. #1825C2×C29semidirect
300. #1824C2×C29semidirect
301. #1805C2×C29semidirect
302. #1763C2×C29semidirect
459. C29#24983direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#25382
C29×#23522
C29×#20772
C29×#20352
C29×#19552
C29×#19482
C29×#18732
C29×#18722
C29×#18362
C29×#18252
C29×#18242
C29×#18052
C29×#17632
#2498329