Finite Group Databasebeta

← C29×#35079 #20329979

Subgroups — C29×#35079 #20329979

Order 7424.

2098 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#2857C212yesmaximal, complemented
2C29×#2851C212yesmaximal, complemented
3C29×#2667C212yesmaximal, complemented
4C29×#2665C212yesmaximal, complemented
5C29×#2569C212yesmaximal, complemented
6C29×#2549C212yesmaximal, complemented
7C29×#2442C212yesmaximal, complemented
8C29×#2441C212yesmaximal, complemented
9C29×#2440C212yesmaximal, complemented
10C29×#2439C212yesmaximal, complemented
11C29×#2437C214yesmaximal
12C29×#2329C214yesmaximal, complemented
13C29×#2280C211yesmaximal, characteristic
14C2×C29×#380C211yesmaximal, characteristic
15C2×C4×C22⋊C4×C29C211yesmaximal, characteristic
16C24×C4×C29C2211yescharacteristic
17C2×C29×C4⋊Q8C2212yescomplemented
18C2×C29×#125C2212yescomplemented
19C2×C29×C22⋊Q8C2214yes—
20C2×C29×C22⋊Q8C2214yes—
21C2×C29×#117C2212yes—
22C22×C4⋊C4×C29C2212yes—
23C22×C22⋊C4×C29C2212yes—
24C22×C22⋊C4×C29C2212yes—
25C22×C42×C29C2212yes—
26C29×#400C2214yescomplemented
27C29×#399C2214yes—
28C29×#398C2214yescomplemented
29C29×#398C2214yescomplemented
30C29×#396C2214yes—
31C29×#396C2214yes—
32C29×#395C2214yescomplemented
33C29×#393C2214yes—
34C29×#391C2214yescomplemented
35C29×#391C2214yescomplemented
36C29×#389C2212yescomplemented
37C29×#389C2212yescomplemented
38C29×#389C2212yescomplemented
39C29×#389C2212yescomplemented
40C29×#389C2214yescomplemented
41C29×#389C2214yescomplemented
42C29×#387C2214yescomplemented
43C29×#387C2214yescomplemented
44C29×#387C2214yescomplemented
45C29×#387C2214yescomplemented
46C29×#385C2214yes—
47C29×#385C2214yes—
48C29×#385C2214yes—
49C29×#385C2214yes—
50C29×#384C2212yescomplemented
51C29×#382C2212yescomplemented
52C29×#381C2212yes—
53C29×#380C2214yes—
54C29×#380C2214yes—
55C29×#380C2211yescharacteristic
56C29×#380C2212yes—
57C29×#380C2211yescharacteristic
58C29×#380C2212yes—
59C29×#380C2212yes—
60C29×#380C2212yes—
61C29×#380C2211yescharacteristic
62C29×#380C2211yescharacteristic
63C29×#379C2212yes—
64C4×C22⋊C4×C29C2212yes—
65C4×C22⋊C4×C29C2211yescharacteristic
66C4×C22⋊C4×C29C2211yescharacteristic
67C4×C22⋊C4×C29C2212yes—
68C4×C22⋊C4×C29C2211yescharacteristic
69C4×C22⋊C4×C29C2211yescharacteristic
70C4×C22⋊C4×C29C2212yes—
71C4×C22⋊C4×C29C2212yes—
72C2×C29×#95C2211yescharacteristic
73C2×C29×#95C2211yescharacteristic
74C2×C29×#95C2212yes—
75C25×C29C2311yescharacteristic
76C22×Q8×C29C2314yes—
77C23×C4×C29—44no—
78C23×C4×C29Q818yescomplemented
79C23×C4×C29C2312yes—
80C23×C4×C29C2312yes—
81C23×C4×C29C2311yescharacteristic
82C23×C4×C29C2311yescharacteristic
83C23×C4×C29C2311yescharacteristic
84C23×C4×C29C2314yes—
85C23×C4×C29C2311yescharacteristic
86C23×C4×C29C2311yescharacteristic
87C23×C4×C29C2311yescharacteristic
88C29×C4⋊Q8—44no—
89C29×#125—44no—
90C29×C22⋊Q8—216no—
91C29×C22⋊Q8—48no—
92C29×#117—44no—
93C2×C4⋊C4×C29—44no—
94C2×C4⋊C4×C29C2312yes—
95C2×C4⋊C4×C29C2312yes—
96C2×C4⋊C4×C29C2312yes—
97C2×C4⋊C4×C29C2312yes—
98C2×C4⋊C4×C29C2314yes—
99C2×C4⋊C4×C29C2314yes—
100C2×C4⋊C4×C29C2314yes—
101C2×C4⋊C4×C29C2314yes—
102C2×C4⋊C4×C29C2314yes—
103C2×C4⋊C4×C29C2314yes—
104C2×C4⋊C4×C29C2314yes—
105C2×C4⋊C4×C29C2314yes—
106C2×C4⋊C4×C29C2314yes—
107C2×C4⋊C4×C29C2314yes—
108C2×C22⋊C4×C29—28no—
109C2×C22⋊C4×C29—44no—
110C2×C22⋊C4×C29C2314yes—
111C2×C22⋊C4×C29C2312yes—
112C2×C22⋊C4×C29C2312yes—
113C2×C22⋊C4×C29C2312yes—
114C2×C22⋊C4×C29C2312yes—
115C2×C22⋊C4×C29C2314yes—
116C2×C22⋊C4×C29C2312yes—
117C2×C22⋊C4×C29C2312yes—
118C2×C22⋊C4×C29C2312yes—
119C2×C22⋊C4×C29C2314yes—
120C2×C22⋊C4×C29C2312yes—
121C2×C42×C29—44no—
122C2×C42×C29C2312yes—
123C2×C42×C29C2312yes—
124C2×C42×C29C2312yes—
125C2×C42×C29C2312yes—
126C2×C42×C29C2314yes—
127C29×#95C2312yes—
128C29×#95C2312yes—
129C29×#95C2311yescharacteristic
130C29×#95C2311yescharacteristic
131C29×#95C2311yescharacteristic
132C29×#95C2311yescharacteristic
133C29×#95C2312yes—
134C29×#95C2314yes—
135C29×#95C2312yes—
136C29×#95C2312yes—
137C29×#95C2312yes—
138C29×#95C2314yes—
139C29×#95C2314yes—
140C29×#95C2314yes—
141C29×#95C2314yes—
142C29×#95C2314yes—
143C29×#95C2314yes—
144C29×#95C2314yes—
145C24×C29—24no—
146C24×C29—22no—
147C24×C29—22no—
148C24×C29—42no—
149C24×C29C2×Q814yes—
150C24×C29C2411yescharacteristic
151C24×C29C2411yescharacteristic
152C24×C29C2411yescharacteristic
153C2×Q8×C29—28no—
154C2×Q8×C29—44no—
155C2×Q8×C29—44no—
156C22×C4×C29—24no—
157C22×C4×C29—24no—
158C22×C4×C29—24no—
159C22×C4×C29—24no—
160C22×C4×C29—24no—
161C22×C4×C29—28no—
162C22×C4×C29—24no—
163C22×C4×C29—24no—
164C22×C4×C29—416no—
165C22×C4×C29—42no—
166C22×C4×C29—42no—
167C22×C4×C29—42no—
168C22×C4×C29—42no—
169C22×C4×C29—42no—
170C22×C4×C29—44no—
171C22×C4×C29—44no—
172C22×C4×C29C2×Q814yes—
173C22×C4×C29C2×Q814yes—
174C22×C4×C29C2×Q814yes—
175C22×C4×C29C2×Q814yes—
176C22×C4×C29C2×Q814yes—
177C22×C4×C29C2×Q814yes—
178C22×C4×C29C2412yes—
179C22×C4×C29C2412yes—
180C22×C4×C29C2414yes—
181C22×C4×C29C2414yes—
182C22×C4×C29C2414yes—
183C22×C4×C29C2414yes—
184C22×C4×C29C2411yescharacteristic
185C22×C4×C29C2411yescharacteristic
186C22×C4×C29C2411yescharacteristic
187C22×C4×C29C2412yes—
188C22×C4×C29C2412yes—
189C22×C4×C29C2411yescharacteristic
190C4⋊C4×C29—28no—
191C4⋊C4×C29—28no—
192C4⋊C4×C29—28no—
193C4⋊C4×C29—24no—
194C4⋊C4×C29—24no—
195C4⋊C4×C29—24no—
196C4⋊C4×C29—24no—
197C4⋊C4×C29—44no—
198C4⋊C4×C29—44no—
199C4⋊C4×C29—44no—
200C4⋊C4×C29—44no—
201C4⋊C4×C29—44no—
202C4⋊C4×C29—44no—
203C4⋊C4×C29—44no—
204C22⋊C4×C29—24no—
205C22⋊C4×C29—28no—
206C22⋊C4×C29—28no—
207C22⋊C4×C29—24no—
208C22⋊C4×C29—24no—
209C22⋊C4×C29—24no—
210C22⋊C4×C29—24no—
211C22⋊C4×C29—42no—
212C22⋊C4×C29—42no—
213C22⋊C4×C29—44no—
214C22⋊C4×C29#4118yes—
215C42×C29—24no—
216C42×C29—24no—
217C42×C29—42no—
218C42×C29—42no—
219C42×C29—44no—
220#35079C2911yesmaximal, characteristic, direct product factor, Sylow
221C23×C29—22no—
222C23×C29—22no—
223C23×C29—22no—
224C23×C29—21no—
225C23×C29—21no—
226C23×C29—28no—
227C23×C29—28no—
228C23×C29—22no—
229C23×C29—21no—
230C23×C29—22no—
231C23×C29—21no—
232C23×C29—44no—
233C23×C29—48no—
234C23×C29—48no—
235C23×C29C22×Q812yes—
236C23×C29C22×Q812yes—
237C23×C29C22×Q812yes—
238C23×C29C2×#4114yes—
239C23×C29H(5,𝔽2)12yes—
240C23×C292−1+412yes—
241C23×C29C2511yescharacteristic
242Q8×C29—88no—
243C2×C4×C29—22no—
244C2×C4×C29—22no—
245C2×C4×C29—22no—
246C2×C4×C29—22no—
247C2×C4×C29—22no—
248C2×C4×C29—22no—
249C2×C4×C29—22no—
250C2×C4×C29—28no—
251C2×C4×C29—28no—
252C2×C4×C29—28no—
253C2×C4×C29—22no—
254C2×C4×C29—22no—
255C2×C4×C29—24no—
256C2×C4×C29—24no—
257C2×C4×C29—24no—
258C2×C4×C29—24no—
259C2×C4×C29—22no—
260C2×C4×C29—22no—
261C2×C4×C29—24no—
262C2×C4×C29—24no—
263C2×C4×C29—24no—
264C2×C4×C29—24no—
265C2×C4×C29—24no—
266C2×C4×C29—24no—
267C2×C4×C29—24no—
268C2×C4×C29—22no—
269C2×C4×C29—24no—
270C2×C4×C29—22no—
271C2×C4×C29—44no—
272C2×C4×C29—44no—
273C2×C4×C29—44no—
274C2×C4×C29—48no—
275C2×C4×C29—48no—
276C2×C4×C29—88no—
277C2×C4×C29C22×Q812yes—
278C2×C4×C29C22×Q812yes—
279C2×C4×C29C22×Q812yes—
280C2×C4×C29C22×Q812yes—
281C2×C4×C29C2×#4114yes—
282C2×C4×C29C2×#4114yes—
283C2×C4×C29H(5,𝔽2)14yes—
284#2857C2×C2912yescomplemented
285#2851C2×C2912yescomplemented
286#2667C2×C2912yescomplemented
287#2665C2×C2912yescomplemented
288#2569C2×C2912yescomplemented
289#2549C2×C2912yescomplemented
290#2442C2×C2912yescomplemented
291#2441C2×C2912yescomplemented
292#2440C2×C2912yescomplemented
293#2439C2×C2912yescomplemented
294#2437C2×C2914yes—
295#2329C2×C2914yescomplemented
296#2280C2×C2911yescharacteristic
297C2×#380C2×C2911yescharacteristic
298C2×C4×C22⋊C4C2×C2911yescharacteristic
299C22×C29—22no—
300C22×C29—22no—
301C22×C29—22no—
302C22×C29—22no—
303C22×C29—24no—
304C22×C29—24no—
305C22×C29—24no—
306C22×C29—24no—
307C22×C29—22no—
308C22×C29—22no—
309C22×C29—22no—
310C22×C29—416no—
311C22×C29—42no—
312C22×C29—42no—
313C22×C29#53314yes—
314C22×C29#54414yes—
315C22×C29C23×Q811yescharacteristic
316C22×C29C22×#4112yes—
317C22×C29C2×H(5,𝔽2)12yes—
318C22×C29C2×H(5,𝔽2)11yescharacteristic
319C22×C29C2×2−1+411yescharacteristic
320C4×C29—22no—
321C4×C29—22no—
322C4×C29—22no—
323C4×C29—24no—
324C4×C29—24no—
325C4×C29—42no—
326C4×C29—44no—
327C4×C29—44no—
328C4×C29—44no—
329C4×C29—44no—
330C4×C29—42no—
331C4×C29#54314yes—
332C24×C4C22×C2911yescharacteristic
333C2×C4⋊Q8C22×C2912yescomplemented
334C2×#125C22×C2912yescomplemented
335C2×C22⋊Q8C22×C2914yes—
336C2×C22⋊Q8C22×C2914yes—
337C2×#117C22×C2912yes—
338C22×C4⋊C4C22×C2912yes—
339C22×C22⋊C4C22×C2912yes—
340C22×C22⋊C4C22×C2912yes—
341C22×C42C22×C2912yes—
342#400C22×C2914yescomplemented
343#399C22×C2914yes—
344#398C22×C2914yescomplemented
345#398C22×C2914yescomplemented
346#396C22×C2914yes—
347#396C22×C2914yes—
348#395C22×C2914yescomplemented
349#393C22×C2914yes—
350#391C22×C2914yescomplemented
351#391C22×C2914yescomplemented
352#389C22×C2914yescomplemented
353#389C22×C2914yescomplemented
354#389C22×C2912yescomplemented
355#389C22×C2912yescomplemented
356#389C22×C2912yescomplemented
357#389C22×C2912yescomplemented
358#387C22×C2914yescomplemented
359#387C22×C2914yescomplemented
360#387C22×C2914yescomplemented
361#387C22×C2914yescomplemented
362#385C22×C2914yes—
363#385C22×C2914yes—
364#385C22×C2914yes—
365#385C22×C2914yes—
366#384C22×C2912yescomplemented
367#382C22×C2912yescomplemented
368#381C22×C2912yes—
369#380C22×C2914yes—
370#380C22×C2912yes—
371#380C22×C2914yes—
372#380C22×C2911yescharacteristic
373#380C22×C2912yes—
374#380C22×C2911yescharacteristic
375#380C22×C2912yes—
376#380C22×C2911yescharacteristic
377#380C22×C2912yes—
378#380C22×C2911yescharacteristic
379#379C22×C2912yes—
380C4×C22⋊C4C22×C2912yes—
381C4×C22⋊C4C22×C2912yes—
382C4×C22⋊C4C22×C2912yes—
383C4×C22⋊C4C22×C2911yescharacteristic
384C4×C22⋊C4C22×C2911yescharacteristic
385C4×C22⋊C4C22×C2912yes—
386C4×C22⋊C4C22×C2911yescharacteristic
387C4×C22⋊C4C22×C2911yescharacteristic
388C2×#95C22×C2911yescharacteristic
389C2×#95C22×C2912yes—
390C2×#95C22×C2911yescharacteristic
391C2×C29—24no—
392C2×C29—24no—
393C2×C29—42no—
394C2×C29C2×#53311yescharacteristic
395C2×C29C2×#54311yescharacteristic
396C2×C29C2×#54411yescharacteristic
397C2×C29#351912yes—
398C2×C29#352012yes—
399C25C23×C2911yescharacteristic
400C22×Q8C23×C2914yes—
401C23×C4—44no—
402C23×C4Q8×C2918yescomplemented
403C23×C4C23×C2912yes—
404C23×C4C23×C2912yes—
405C23×C4C23×C2911yescharacteristic
406C23×C4C23×C2911yescharacteristic
407C23×C4C23×C2911yescharacteristic
408C23×C4C23×C2914yes—
409C23×C4C23×C2911yescharacteristic
410C23×C4C23×C2911yescharacteristic
411C23×C4C23×C2911yescharacteristic
412C4⋊Q8—44no—
413#125—44no—
414C22⋊Q8—216no—
415C22⋊Q8—48no—
416#117—44no—
417C2×C4⋊C4—44no—
418C2×C4⋊C4C23×C2912yes—
419C2×C4⋊C4C23×C2912yes—
420C2×C4⋊C4C23×C2912yes—
421C2×C4⋊C4C23×C2912yes—
422C2×C4⋊C4C23×C2914yes—
423C2×C4⋊C4C23×C2914yes—
424C2×C4⋊C4C23×C2914yes—
425C2×C4⋊C4C23×C2914yes—
426C2×C4⋊C4C23×C2914yes—
427C2×C4⋊C4C23×C2914yes—
428C2×C4⋊C4C23×C2914yes—
429C2×C4⋊C4C23×C2914yes—
430C2×C4⋊C4C23×C2914yes—
431C2×C4⋊C4C23×C2914yes—
432C2×C22⋊C4—28no—
433C2×C22⋊C4—44no—
434C2×C22⋊C4C23×C2914yes—
435C2×C22⋊C4C23×C2912yes—
436C2×C22⋊C4C23×C2912yes—
437C2×C22⋊C4C23×C2912yes—
438C2×C22⋊C4C23×C2912yes—
439C2×C22⋊C4C23×C2914yes—
440C2×C22⋊C4C23×C2912yes—
441C2×C22⋊C4C23×C2912yes—
442C2×C22⋊C4C23×C2912yes—
443C2×C22⋊C4C23×C2914yes—
444C2×C22⋊C4C23×C2912yes—
445C2×C42—44no—
446C2×C42C23×C2912yes—
447C2×C42C23×C2912yes—
448C2×C42C23×C2914yes—
449C2×C42C23×C2912yes—
450C2×C42C23×C2912yes—
451#95C23×C2912yes—
452#95C23×C2912yes—
453#95C23×C2911yescharacteristic
454#95C23×C2911yescharacteristic
455#95C23×C2911yescharacteristic
456#95C23×C2911yescharacteristic
457#95C23×C2912yes—
458#95C23×C2914yes—
459#95C23×C2912yes—
460#95C23×C2912yes—
461#95C23×C2912yes—
462#95C23×C2914yes—
463#95C23×C2914yes—
464#95C23×C2914yes—
465#95C23×C2914yes—
466#95C23×C2914yes—
467#95C23×C2914yes—
468#95C23×C2914yes—
469C29#3507911yescharacteristic, direct product factor, Sylow
470C24—24no—
471C24—22no—
472C24—22no—
473C24—42no—
474C24C2×Q8×C2914yes—
475C24C24×C2911yescharacteristic
476C24C24×C2911yescharacteristic
477C24C24×C2911yescharacteristic
478C2×Q8—28no—
479C2×Q8—44no—
480C2×Q8—44no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—28no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—416no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4C2×Q8×C2914yes—
498C22×C4C2×Q8×C2914yes—
499C22×C4C2×Q8×C2914yes—
500C22×C4C2×Q8×C2914yes—
501C22×C4C2×Q8×C2914yes—
502C22×C4C2×Q8×C2914yes—
503C22×C4C24×C2912yes—
504C22×C4C24×C2914yes—
505C22×C4C24×C2914yes—
506C22×C4C24×C2912yes—
507C22×C4C24×C2914yes—
508C22×C4C24×C2914yes—
509C22×C4C24×C2911yescharacteristic
510C22×C4C24×C2911yescharacteristic
511C22×C4C24×C2911yescharacteristic
512C22×C4C24×C2912yes—
513C22×C4C24×C2912yes—
514C22×C4C24×C2911yescharacteristic
515C4⋊C4—28no—
516C4⋊C4—28no—
517C4⋊C4—28no—
518C4⋊C4—24no—
519C4⋊C4—24no—
520C4⋊C4—24no—
521C4⋊C4—24no—
522C4⋊C4—44no—
523C4⋊C4—44no—
524C4⋊C4—44no—
525C4⋊C4—44no—
526C4⋊C4—44no—
527C4⋊C4—44no—
528C4⋊C4—44no—
529C22⋊C4—24no—
530C22⋊C4—28no—
531C22⋊C4—28no—
532C22⋊C4—24no—
533C22⋊C4—24no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—44no—
539C22⋊C4#41×C2918yes—
540C42—24no—
541C42—24no—
542C42—42no—
543C42—42no—
544C42—44no—
545C23—22no—
546C23—22no—
547C23—22no—
548C23—21no—
549C23—21no—
550C23—28no—
551C23—28no—
552C23—22no—
553C23—21no—
554C23—22no—
555C23—21no—
556C23—44no—
557C23—48no—
558C23—48no—
559C23C22×Q8×C2912yes—
560C23C22×Q8×C2912yes—
561C23C22×Q8×C2912yes—
562C23C2×#41×C2914yes—
563C23C29×H(5,𝔽2)12yes—
564C23C29×2−1+412yes—
565C23C25×C2911yescharacteristic
566Q8—88no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—28no—
575C2×C4—28no—
576C2×C4—28no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—22no—
593C2×C4—24no—
594C2×C4—22no—
595C2×C4—44no—
596C2×C4—44no—
597C2×C4—44no—
598C2×C4—48no—
599C2×C4—48no—
600C2×C4—88no—
601C2×C4C22×Q8×C2912yes—
602C2×C4C22×Q8×C2912yes—
603C2×C4C22×Q8×C2912yes—
604C2×C4C22×Q8×C2912yes—
605C2×C4C2×#41×C2914yes—
606C2×C4C2×#41×C2914yes—
607C2×C4C29×H(5,𝔽2)14yes—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—24no—
613C22—24no—
614C22—24no—
615C22—24no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—416no—
620C22—42no—
621C22—42no—
622C22C29×#53314yes—
623C22C29×#54414yes—
624C22C23×Q8×C2911yescharacteristic
625C22C22×#41×C2912yes—
626C22C2×C29×H(5,𝔽2)12yes—
627C22C2×C29×H(5,𝔽2)11yescharacteristic
628C22C2×C29×2−1+411yescharacteristic
629C4—22no—
630C4—22no—
631C4—22no—
632C4—24no—
633C4—24no—
634C4—42no—
635C4—44no—
636C4—44no—
637C4—44no—
638C4—42no—
639C4—44no—
640C4C29×#54314yes—
641C2—24no—
642C2—24no—
643C2—42no—
644C2C2×C29×#53311yescharacteristic
645C2C2×C29×#54311yescharacteristic
646C2C2×C29×#54411yescharacteristic
647C2C29×#351912yes—
648C2C29×#352012yes—
subgroupG/H
center, socleC23×C29C25
commutator, Frattini, cosocleC23C25×C29
prime radicalC25×C29C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#2857C2semidirect
2. C29×#2851C2semidirect
3. C29×#2667C2semidirect
4. C29×#2665C2semidirect
5. C29×#2569C2semidirect
6. C29×#2549C2semidirect
7. C29×#2442C2semidirect
8. C29×#2441C2semidirect
9. C29×#2440C2semidirect
10. C29×#2439C2semidirect
12. C29×#2329C2semidirect
17. C2×C29×C4⋊Q8C22semidirect
18. C2×C29×#125C22semidirect
26. C29×#400C22semidirect
28. C29×#398C22semidirect
29. C29×#398C22semidirect
32. C29×#395C22semidirect
34. C29×#391C22semidirect
35. C29×#391C22semidirect
36. C29×#389C22semidirect
37. C29×#389C22semidirect
38. C29×#389C22semidirect
39. C29×#389C22semidirect
40. C29×#389C22semidirect
41. C29×#389C22semidirect
42. C29×#387C22semidirect
43. C29×#387C22semidirect
44. C29×#387C22semidirect
45. C29×#387C22semidirect
50. C29×#384C22semidirect
51. C29×#382C22semidirect
78. C23×C4×C29Q8semidirect
220. #35079C29direct (N × H)
284. #2857C2×C29semidirect
285. #2851C2×C29semidirect
286. #2667C2×C29semidirect
287. #2665C2×C29semidirect
288. #2569C2×C29semidirect
289. #2549C2×C29semidirect
290. #2442C2×C29semidirect
291. #2441C2×C29semidirect
292. #2440C2×C29semidirect
293. #2439C2×C29semidirect
295. #2329C2×C29semidirect
333. C2×C4⋊Q8C22×C29semidirect
334. C2×#125C22×C29semidirect
342. #400C22×C29semidirect
344. #398C22×C29semidirect
345. #398C22×C29semidirect
348. #395C22×C29semidirect
350. #391C22×C29semidirect
351. #391C22×C29semidirect
352. #389C22×C29semidirect
353. #389C22×C29semidirect
354. #389C22×C29semidirect
355. #389C22×C29semidirect
356. #389C22×C29semidirect
357. #389C22×C29semidirect
358. #387C22×C29semidirect
359. #387C22×C29semidirect
360. #387C22×C29semidirect
361. #387C22×C29semidirect
366. #384C22×C29semidirect
367. #382C22×C29semidirect
402. C23×C4Q8×C29semidirect
469. C29#35079direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#28572
C29×#28512
C29×#26672
C29×#26652
C29×#25692
C29×#25492
C29×#24422
C29×#24412
C29×#24402
C29×#24392
C29×#24372
C29×#23292
C29×#22802
C2×C29×#3802
C2×C4×C22⋊C4×C292
#3507929