Finite Group Databasebeta

← C29×#18026 #20312926

Subgroups — C29×#18026 #20312926

Order 7424.

656 conjugacy classes of subgroups.

The subgroup lattice has 630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3100C211yesmaximal, characteristic
2C29×#2979C211yesmaximal, characteristic, complemented
3C29×#2974C211yesmaximal, characteristic, complemented
4C29×#1594C211yesmaximal, characteristic, complemented
5C29×#1589C211yesmaximal, characteristic, complemented
6C29×#1586C211yesmaximal, characteristic, complemented
7C29×#1586C211yesmaximal, characteristic, complemented
8C29×#1581C211yesmaximal, characteristic, complemented
9C29×#1581C211yesmaximal, characteristic, complemented
10C29×#1580C211yesmaximal, characteristic, complemented
11C8×D8×C29C211yesmaximal, characteristic, complemented
12C29×#1572C211yesmaximal, characteristic, complemented
13C29×#1496C211yesmaximal, characteristic, complemented
14C29×#1478C211yesmaximal, characteristic, complemented
15C29×#1454C211yesmaximal, characteristic, complemented
16C29×#532C2211yescharacteristic
17C2×C4×D4×C29C2211yescharacteristic
18C29×#480C411yescharacteristic
19C29×#480C411yescharacteristic
20C29×#474C411yescharacteristic
21C29×#474C411yescharacteristic
22C29×#459C411yescharacteristic
23C29×#459C411yescharacteristic
24C29×#447C411yescharacteristic
25C29×#447C411yescharacteristic
26C4×D8×C29C2211yescharacteristic
27C4×D8×C29C2211yescharacteristic
28C4×D8×C29C2211yescharacteristic
29C4×D8×C29C2211yescharacteristic
30C29×#436—21no—
31C29×#436C2211yescharacteristic
32C29×#436C2211yescharacteristic
33C29×#436C2211yescharacteristic, complemented
34C29×#436C2211yescharacteristic, complemented
35C29×#435—21no—
36C29×#435—21no—
37C8×D4×C29—21no—
38C8×D4×C29C2211yescharacteristic
39C8×D4×C29C2211yescharacteristic
40C8×D4×C29C2211yescharacteristic, complemented
41C8×D4×C29C2211yescharacteristic, complemented
42C29×#432C2211yescharacteristic
43C29×#431C2211yescharacteristic
44C29×#431C2211yescharacteristic
45C29×#431C2211yescharacteristic
46C29×#431C2211yescharacteristic
47C29×#408—21no—
48C29×#408—21no—
49C29×#407—21no—
50C2×C29×C22⋊C8—21no—
51C29×#335C2211yescharacteristic, complemented
52C29×#335C2211yescharacteristic, complemented
53C29×#334C2211yescharacteristic, complemented
54C29×#334C2211yescharacteristic, complemented
55C29×D4⋊C8C2211yescharacteristic
56C29×D4⋊C8C2211yescharacteristic
57C29×D4⋊C8C2211yescharacteristic
58C29×D4⋊C8C2211yescharacteristic
59C29×D4⋊C8C2211yescharacteristic, complemented
60C29×D4⋊C8C2211yescharacteristic, complemented
61C29×D4⋊C8C2211yescharacteristic, complemented
62C29×D4⋊C8C2211yescharacteristic, complemented
63C29×#322C2211yescharacteristic, complemented
64C29×#322C2211yescharacteristic, complemented
65C29×#322C2211yescharacteristic, complemented
66C82×C29C2211yescharacteristic, complemented
67C2×#41×C29—21no—
68C22×D4×C29C2×C411yescharacteristic
69C23×C4×C29—21no—
70C2×D8×C29C2×C411yescharacteristic
71C2×D8×C29C2×C411yescharacteristic
72C2×D8×C29C2×C411yescharacteristic
73C2×D8×C29C2×C411yescharacteristic
74C2×M16×C29—21no—
75C2×M16×C29—21no—
76C2×M16×C29—21no—
77C2×M16×C29—21no—
78C22×C8×C29—21no—
79C22×C8×C29—21no—
80C22×C8×C29—21no—
81C22×C8×C29—21no—
82C29×C4⋊Q8C2×C411yescharacteristic
83C29×#127C2×C411yescharacteristic
84C29×#124—21no—
85C29×#121—21no—
86C29×#121C2×C411yescharacteristic
87C29×#121C2×C411yescharacteristic
88C4×D4×C29—21no—
89C4×D4×C29—21no—
90C4×D4×C29—21no—
91C4×D4×C29C2×C411yescharacteristic
92C4×D4×C29C2×C411yescharacteristic
93C4×D4×C29C2311yescharacteristic
94C4×D4×C29C2311yescharacteristic
95C4×D4×C29C2311yescharacteristic
96C4×D4×C29C2311yescharacteristic
97C2×C4⋊C4×C29C2×C411yescharacteristic
98C2×C22⋊C4×C29—21no—
99C2×C42×C29C2311yescharacteristic
100C29×#107C2×C411yescharacteristic
101C29×#107C2×C411yescharacteristic
102C29×#107C2×C411yescharacteristic
103C29×#107C2×C411yescharacteristic
104C29×C4⋊C8—21no—
105C29×C4⋊C8C2×C411yescharacteristic
106C29×C4⋊C8C2×C411yescharacteristic
107C29×C4⋊C8D411yescharacteristic
108C29×C4⋊C8D411yescharacteristic
109C29×C4⋊C8C2311yescharacteristic
110C29×C4⋊C8C2311yescharacteristic
111C29×C4⋊C8C2311yescharacteristic
112C29×C4⋊C8C2311yescharacteristic
113C29×#102C2×C411yescharacteristic
114C29×#102C2×C411yescharacteristic
115C29×#102C2×C411yescharacteristic
116C29×#102C2×C411yescharacteristic
117C29×#102C2×C411yescharacteristic
118C29×#102C2×C411yescharacteristic
119C29×#102C2×C411yescharacteristic
120C29×#102C2×C411yescharacteristic
121C29×C22⋊C8—21no—
122C29×C22⋊C8—21no—
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⋊C8—21no—
132C29×C22⋊C8C2×C411yescharacteristic
133C29×C22⋊C8C2×C411yescharacteristic
134C29×C22⋊C8D411yescharacteristic
135C29×C22⋊C8D411yescharacteristic
136C29×#97—21no—
137C4×C8×C29—21no—
138C4×C8×C29C2311yescharacteristic
139C4×C8×C29C2311yescharacteristic
140C4×C8×C29C2311yescharacteristic
141C4×C8×C29C2311yescharacteristic
142C4×C8×C29C2311yescharacteristic
143C4×C8×C29C2311yescharacteristic
144C24×C29—21no—
145#41×C29—81no—
146#41×C29—81no—
147C2×Q8×C29—21no—
148C2×D4×C29—22no—
149C2×D4×C29—21no—
150C2×D4×C29—21no—
151C2×D4×C29—21no—
152C2×D4×C29—21no—
153C2×D4×C29—21no—
154C2×D4×C29—41no—
155C2×D4×C29C22×C411yescharacteristic
156C2×D4×C29C22×C411yescharacteristic
157C2×D4×C29C22×C411yescharacteristic
158C2×D4×C29C22×C411yescharacteristic
159C22×C4×C29—21no—
160C22×C4×C29—21no—
161C22×C4×C29—21no—
162C22×C4×C29—21no—
163C22×C4×C29—21no—
164C22×C4×C29—21no—
165C22×C4×C29—21no—
166C22×C4×C29—81no—
167C22×C4×C29—81no—
168C22×C4×C29C22×C411yescharacteristic
169C22×C4×C29C2×D411yescharacteristic
170C22×C4×C29#4111yescharacteristic
171D8×C29—22no—
172D8×C29—22no—
173D8×C29—41no—
174D8×C29—41no—
175M16×C29—81no—
176M16×C29—81no—
177M16×C29—81no—
178M16×C29—81no—
179C2×C8×C29—21no—
180C2×C8×C29—21no—
181C2×C8×C29—21no—
182C2×C8×C29—21no—
183C2×C8×C29—21no—
184C2×C8×C29—21no—
185C2×C8×C29—81no—
186C2×C8×C29—81no—
187C2×C8×C29—81no—
188C2×C8×C29—81no—
189C2×C8×C29C22×C411yescharacteristic
190C2×C8×C29C22×C411yescharacteristic
191C2×C8×C29C22×C411yescharacteristic
192C2×C8×C29C22×C411yescharacteristic
193C2×C8×C29C2×D411yescharacteristic
194C2×C8×C29C2×D411yescharacteristic
195C2×C8×C29C2×D411yescharacteristic
196C2×C8×C29C2×D411yescharacteristic
197C4⋊C4×C29—21no—
198C4⋊C4×C29—21no—
199C4⋊C4×C29C22×C411yescharacteristic
200C4⋊C4×C29C22×C411yescharacteristic
201C4⋊C4×C29C22×C411yescharacteristic
202C4⋊C4×C29C22×C411yescharacteristic
203C22⋊C4×C29—21no—
204C22⋊C4×C29—21no—
205C22⋊C4×C29—21no—
206C22⋊C4×C29—21no—
207C22⋊C4×C29—21no—
208C22⋊C4×C29—21no—
209C22⋊C4×C29—21no—
210C22⋊C4×C29—21no—
211C42×C29C22×C411yescharacteristic
212C42×C29C2×D411yescharacteristic
213C42×C29#4111yescharacteristic
214C42×C29C2411yescharacteristic
215#18026C2911yesmaximal, characteristic, direct product factor, Sylow
216C23×C29—21no—
217C23×C29—21no—
218C23×C29—21no—
219C23×C29—21no—
220C23×C29—42no—
221C23×C29—42no—
222C23×C29—81no—
223C23×C29C4×D411yescharacteristic
224Q8×C29—81no—
225D4×C29—21no—
226D4×C29—21no—
227D4×C29—21no—
228D4×C29—21no—
229D4×C29—21no—
230D4×C29—21no—
231D4×C29—21no—
232D4×C29—42no—
233D4×C29—42no—
234D4×C29—81no—
235D4×C29—81no—
236D4×C29—81no—
237D4×C29#13112yes—
238C2×C4×C29—21no—
239C2×C4×C29—21no—
240C2×C4×C29—21no—
241C2×C4×C29—21no—
242C2×C4×C29—21no—
243C2×C4×C29—21no—
244C2×C4×C29—21no—
245C2×C4×C29—21no—
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—81no—
256C2×C4×C29—81no—
257C2×C4×C29—81no—
258C2×C4×C29C4×D411yescharacteristic
259C2×C4×C29C4×D411yescharacteristic
260C2×C4×C29C4×D411yescharacteristic
261C2×C4×C29C23×C411yescharacteristic
262C2×C4×C29C22×D411yescharacteristic
263C2×C4×C29C2×#4111yescharacteristic
264C8×C29—21no—
265C8×C29—21no—
266C8×C29—21no—
267C8×C29—21no—
268C8×C29—21no—
269C8×C29—21no—
270C8×C29—21no—
271C8×C29—21no—
272C8×C29—41no—
273C8×C29—41no—
274C8×C29—41no—
275C8×C29—41no—
276C8×C29—41no—
277C8×C29—41no—
278#3100C2×C2911yescharacteristic
279#2979C2×C2911yescharacteristic, complemented
280#2974C2×C2911yescharacteristic, complemented
281#1594C2×C2911yescharacteristic, complemented
282#1589C2×C2911yescharacteristic, complemented
283#1586C2×C2911yescharacteristic, complemented
284#1586C2×C2911yescharacteristic, complemented
285#1581C2×C2911yescharacteristic, complemented
286#1581C2×C2911yescharacteristic, complemented
287#1580C2×C2911yescharacteristic, complemented
288C8×D8C2×C2911yescharacteristic, complemented
289#1572C2×C2911yescharacteristic, complemented
290#1496C2×C2911yescharacteristic, complemented
291#1478C2×C2911yescharacteristic, complemented
292#1454C2×C2911yescharacteristic, complemented
293C22×C29—21no—
294C22×C29—22no—
295C22×C29—21no—
296C22×C29—21no—
297C22×C29—41no—
298C22×C29—41no—
299C22×C29—41no—
300C22×C29—41no—
301C22×C29—41no—
302C22×C29—41no—
303C22×C29—41no—
304C22×C29—41no—
305C22×C29—41no—
306C22×C29—41no—
307C22×C29—41no—
308C22×C29—84no—
309C22×C29C2×C4×D411yescharacteristic
310C4×C29—21no—
311C4×C29—21no—
312C4×C29—21no—
313C4×C29—21no—
314C4×C29—41no—
315C4×C29—41no—
316C4×C29—41no—
317C4×C29—41no—
318C4×C29C2×#13111yescharacteristic
319C4×C29#56811yescharacteristic
320C4×C29#57611yescharacteristic
321C4×C29#57611yescharacteristic
322#532C22×C2911yescharacteristic
323C2×C4×D4C22×C2911yescharacteristic
324#480C4×C2911yescharacteristic
325#480C4×C2911yescharacteristic
326#474C4×C2911yescharacteristic
327#474C4×C2911yescharacteristic
328#459C4×C2911yescharacteristic
329#459C4×C2911yescharacteristic
330#447C4×C2911yescharacteristic
331#447C4×C2911yescharacteristic
332C4×D8C22×C2911yescharacteristic
333C4×D8C22×C2911yescharacteristic
334C4×D8C22×C2911yescharacteristic
335C4×D8C22×C2911yescharacteristic
336#436—21no—
337#436C22×C2911yescharacteristic
338#436C22×C2911yescharacteristic
339#436C22×C2911yescharacteristic, complemented
340#436C22×C2911yescharacteristic, complemented
341#435—21no—
342#435—21no—
343C8×D4—21no—
344C8×D4C22×C2911yescharacteristic
345C8×D4C22×C2911yescharacteristic
346C8×D4C22×C2911yescharacteristic, complemented
347C8×D4C22×C2911yescharacteristic, complemented
348#432C22×C2911yescharacteristic
349#431C22×C2911yescharacteristic
350#431C22×C2911yescharacteristic
351#431C22×C2911yescharacteristic
352#431C22×C2911yescharacteristic
353#408—21no—
354#408—21no—
355#407—21no—
356C2×C22⋊C8—21no—
357#335C22×C2911yescharacteristic, complemented
358#335C22×C2911yescharacteristic, complemented
359#334C22×C2911yescharacteristic, complemented
360#334C22×C2911yescharacteristic, complemented
361D4⋊C8C22×C2911yescharacteristic
362D4⋊C8C22×C2911yescharacteristic
363D4⋊C8C22×C2911yescharacteristic
364D4⋊C8C22×C2911yescharacteristic
365D4⋊C8C22×C2911yescharacteristic, complemented
366D4⋊C8C22×C2911yescharacteristic, complemented
367D4⋊C8C22×C2911yescharacteristic, complemented
368D4⋊C8C22×C2911yescharacteristic, complemented
369#322C22×C2911yescharacteristic, complemented
370#322C22×C2911yescharacteristic, complemented
371#322C22×C2911yescharacteristic, complemented
372C82C22×C2911yescharacteristic, complemented
373C2×C29—41no—
374C2×C29—42no—
375C2×C29—81no—
376C2×C29—81no—
377C2×C29—81no—
378C2×C29#293311yescharacteristic
379C2×C29#294811yescharacteristic
380C2×C29#295511yescharacteristic
381C2×#41—21no—
382C22×D4C2×C4×C2911yescharacteristic
383C23×C4—21no—
384C2×D8C2×C4×C2911yescharacteristic
385C2×D8C2×C4×C2911yescharacteristic
386C2×D8C2×C4×C2911yescharacteristic
387C2×D8C2×C4×C2911yescharacteristic
388C2×M16—21no—
389C2×M16—21no—
390C2×M16—21no—
391C2×M16—21no—
392C22×C8—21no—
393C22×C8—21no—
394C22×C8—21no—
395C22×C8—21no—
396C4⋊Q8C2×C4×C2911yescharacteristic
397#127C2×C4×C2911yescharacteristic
398#124—21no—
399#121—21no—
400#121C2×C4×C2911yescharacteristic
401#121C2×C4×C2911yescharacteristic
402C4×D4—21no—
403C4×D4—21no—
404C4×D4—21no—
405C4×D4C2×C4×C2911yescharacteristic
406C4×D4C2×C4×C2911yescharacteristic
407C4×D4C23×C2911yescharacteristic
408C4×D4C23×C2911yescharacteristic
409C4×D4C23×C2911yescharacteristic
410C4×D4C23×C2911yescharacteristic
411C2×C4⋊C4C2×C4×C2911yescharacteristic
412C2×C22⋊C4—21no—
413C2×C42C23×C2911yescharacteristic
414#107C2×C4×C2911yescharacteristic
415#107C2×C4×C2911yescharacteristic
416#107C2×C4×C2911yescharacteristic
417#107C2×C4×C2911yescharacteristic
418C4⋊C8—21no—
419C4⋊C8C2×C4×C2911yescharacteristic
420C4⋊C8C2×C4×C2911yescharacteristic
421C4⋊C8D4×C2911yescharacteristic
422C4⋊C8D4×C2911yescharacteristic
423C4⋊C8C23×C2911yescharacteristic
424C4⋊C8C23×C2911yescharacteristic
425C4⋊C8C23×C2911yescharacteristic
426C4⋊C8C23×C2911yescharacteristic
427#102C2×C4×C2911yescharacteristic
428#102C2×C4×C2911yescharacteristic
429#102C2×C4×C2911yescharacteristic
430#102C2×C4×C2911yescharacteristic
431#102C2×C4×C2911yescharacteristic
432#102C2×C4×C2911yescharacteristic
433#102C2×C4×C2911yescharacteristic
434#102C2×C4×C2911yescharacteristic
435C22⋊C8—21no—
436C22⋊C8—21no—
437C22⋊C8—21no—
438C22⋊C8—21no—
439C22⋊C8—21no—
440C22⋊C8—21no—
441C22⋊C8—21no—
442C22⋊C8—21no—
443C22⋊C8—21no—
444C22⋊C8—21no—
445C22⋊C8—21no—
446C22⋊C8C2×C4×C2911yescharacteristic
447C22⋊C8C2×C4×C2911yescharacteristic
448C22⋊C8D4×C2911yescharacteristic
449C22⋊C8D4×C2911yescharacteristic
450#97—21no—
451C4×C8—21no—
452C4×C8C23×C2911yescharacteristic
453C4×C8C23×C2911yescharacteristic
454C4×C8C23×C2911yescharacteristic
455C4×C8C23×C2911yescharacteristic
456C4×C8C23×C2911yescharacteristic
457C4×C8C23×C2911yescharacteristic
458C29#1802611yescharacteristic, direct product factor, Sylow
459C24—21no—
460#41—81no—
461#41—81no—
462C2×Q8—21no—
463C2×D4—22no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—41no—
470C2×D4C22×C4×C2911yescharacteristic
471C2×D4C22×C4×C2911yescharacteristic
472C2×D4C22×C4×C2911yescharacteristic
473C2×D4C22×C4×C2911yescharacteristic
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—81no—
482C22×C4—81no—
483C22×C4C22×C4×C2911yescharacteristic
484C22×C4C2×D4×C2911yescharacteristic
485C22×C4#41×C2911yescharacteristic
486D8—22no—
487D8—22no—
488D8—41no—
489D8—41no—
490M16—81no—
491M16—81no—
492M16—81no—
493M16—81no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—81no—
501C2×C8—81no—
502C2×C8—81no—
503C2×C8—81no—
504C2×C8C22×C4×C2911yescharacteristic
505C2×C8C22×C4×C2911yescharacteristic
506C2×C8C22×C4×C2911yescharacteristic
507C2×C8C22×C4×C2911yescharacteristic
508C2×C8C2×D4×C2911yescharacteristic
509C2×C8C2×D4×C2911yescharacteristic
510C2×C8C2×D4×C2911yescharacteristic
511C2×C8C2×D4×C2911yescharacteristic
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4C22×C4×C2911yescharacteristic
515C4⋊C4C22×C4×C2911yescharacteristic
516C4⋊C4C22×C4×C2911yescharacteristic
517C4⋊C4C22×C4×C2911yescharacteristic
518C22⋊C4—21no—
519C22⋊C4—21no—
520C22⋊C4—21no—
521C22⋊C4—21no—
522C22⋊C4—21no—
523C22⋊C4—21no—
524C22⋊C4—21no—
525C22⋊C4—21no—
526C42C22×C4×C2911yescharacteristic
527C42C2×D4×C2911yescharacteristic
528C42#41×C2911yescharacteristic
529C42C24×C2911yescharacteristic
530C23—21no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—42no—
535C23—42no—
536C23—81no—
537C23C4×D4×C2911yescharacteristic
538Q8—81no—
539D4—21no—
540D4—21no—
541D4—21no—
542D4—21no—
543D4—21no—
544D4—21no—
545D4—21no—
546D4—42no—
547D4—42no—
548D4—81no—
549D4—81no—
550D4—81no—
551D4C29×#13112yes—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—81no—
570C2×C4—81no—
571C2×C4—81no—
572C2×C4C4×D4×C2911yescharacteristic
573C2×C4C4×D4×C2911yescharacteristic
574C2×C4C4×D4×C2911yescharacteristic
575C2×C4C23×C4×C2911yescharacteristic
576C2×C4C22×D4×C2911yescharacteristic
577C2×C4C2×#41×C2911yescharacteristic
578C8—21no—
579C8—21no—
580C8—21no—
581C8—21no—
582C8—21no—
583C8—21no—
584C8—21no—
585C8—21no—
586C8—41no—
587C8—41no—
588C8—41no—
589C8—41no—
590C8—41no—
591C8—41no—
592C22—21no—
593C22—22no—
594C22—21no—
595C22—21no—
596C22—41no—
597C22—41no—
598C22—41no—
599C22—41no—
600C22—41no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—41no—
605C22—41no—
606C22—41no—
607C22—84no—
608C22C2×C4×D4×C2911yescharacteristic
609C4—21no—
610C4—21no—
611C4—21no—
612C4—21no—
613C4—41no—
614C4—41no—
615C4—41no—
616C4—41no—
617C4C2×C29×#13111yescharacteristic
618C4C29×#56811yescharacteristic
619C4C29×#57611yescharacteristic
620C4C29×#57611yescharacteristic
621C2—41no—
622C2—42no—
623C2—81no—
624C2—81no—
625C2—81no—
626C2C29×#293311yescharacteristic
627C2C29×#294811yescharacteristic
628C2C29×#295511yescharacteristic
subgroupG/H
centerC2×C4×C29C22×D4
commutatorC2×C4C23×C4×C29
Frattini, cosocleC42C24×C29
socleC22×C29C2×C4×D4
prime radicalC29×#3100C2
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×#2979C2semidirect
3. C29×#2974C2semidirect
4. C29×#1594C2semidirect
5. C29×#1589C2semidirect
6. C29×#1586C2semidirect
7. C29×#1586C2semidirect
8. C29×#1581C2semidirect
9. C29×#1581C2semidirect
10. C29×#1580C2semidirect
11. C8×D8×C29C2semidirect
12. C29×#1572C2semidirect
13. C29×#1496C2semidirect
14. C29×#1478C2semidirect
15. C29×#1454C2semidirect
33. C29×#436C22semidirect
34. C29×#436C22semidirect
40. C8×D4×C29C22semidirect
41. C8×D4×C29C22semidirect
51. C29×#335C22semidirect
52. C29×#335C22semidirect
53. C29×#334C22semidirect
54. C29×#334C22semidirect
59. C29×D4⋊C8C22semidirect
60. C29×D4⋊C8C22semidirect
61. C29×D4⋊C8C22semidirect
62. C29×D4⋊C8C22semidirect
63. C29×#322C22semidirect
64. C29×#322C22semidirect
65. C29×#322C22semidirect
66. C82×C29C22semidirect
215. #18026C29direct (N × H)
279. #2979C2×C29semidirect
280. #2974C2×C29semidirect
281. #1594C2×C29semidirect
282. #1589C2×C29semidirect
283. #1586C2×C29semidirect
284. #1586C2×C29semidirect
285. #1581C2×C29semidirect
286. #1581C2×C29semidirect
287. #1580C2×C29semidirect
288. C8×D8C2×C29semidirect
289. #1572C2×C29semidirect
290. #1496C2×C29semidirect
291. #1478C2×C29semidirect
292. #1454C2×C29semidirect
339. #436C22×C29semidirect
340. #436C22×C29semidirect
346. C8×D4C22×C29semidirect
347. C8×D4C22×C29semidirect
357. #335C22×C29semidirect
358. #335C22×C29semidirect
359. #334C22×C29semidirect
360. #334C22×C29semidirect
365. D4⋊C8C22×C29semidirect
366. D4⋊C8C22×C29semidirect
367. D4⋊C8C22×C29semidirect
368. D4⋊C8C22×C29semidirect
369. #322C22×C29semidirect
370. #322C22×C29semidirect
371. #322C22×C29semidirect
372. C82C22×C29semidirect
458. C29#18026direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#31002
C29×#29792
C29×#29742
C29×#15942
C29×#15892
C29×#15862
C29×#15812
C29×#15802
C8×D8×C292
C29×#15722
C29×#14962
C29×#14782
C29×#14542
#1802629