Finite Group Databasebeta

← C29×#14877 #20309777

Subgroups — C29×#14877 #20309777

Order 7424.

1870 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×Q8×C29C211yesmaximal, characteristic, complemented
2C2×C29×#396C212yesmaximal
3C2×C29×#395C211yesmaximal, characteristic, complemented
4C2×C29×#393C211yesmaximal, characteristic
5C2×C29×#388C211yesmaximal, characteristic
6C29×#1441C211yesmaximal, characteristic, complemented
7C29×#1441C212yesmaximal, complemented
8C29×#1439C211yesmaximal, characteristic
9C29×#1437C212yesmaximal
10C29×#1436C212yesmaximal, complemented
11C29×C4⋊#95C211yesmaximal, characteristic, complemented
12C23×Q8×C29C2211yescharacteristic
13C2×C4×Q8×C29—28no—
14C2×C4×Q8×C29—24no—
15C22×C4⋊C4×C29C2212yes—
16C22×C4⋊C4×C29C2211yescharacteristic
17C22×C4⋊C4×C29C2211yescharacteristic
18C22×C4⋊C4×C29C2212yes—
19C22×C4⋊C4×C29C2212yes—
20C22×C22⋊C4×C29C2212yes—
21C22×C22⋊C4×C29C2211yescharacteristic
22C22×C22⋊C4×C29C2211yescharacteristic
23C22×C22⋊C4×C29C2212yes—
24C22×C22⋊C4×C29C2211yescharacteristic
25C22×C42×C29C2212yes—
26C22×C42×C29C2211yescharacteristic
27C29×#396—28no—
28C29×#395—24no—
29C29×#393—24no—
30C29×#388—24no—
31C2×C29×#95C2212yes—
32C2×C29×#95C2211yescharacteristic
33C2×C29×#95C2211yescharacteristic
34C2×C29×#95C2211yescharacteristic
35C2×C29×#95C2212yes—
36C2×C29×#95C2212yes—
37C2×C29×#95C2212yes—
38C2×C29×#95C2212yes—
39C2×C29×#95C2211yescharacteristic
40C2×C29×#95C2212yes—
41C25×C29C2311yescharacteristic
42C22×Q8×C29—24no—
43C22×Q8×C29—22no—
44C22×Q8×C29—24no—
45C22×Q8×C29—22no—
46C22×Q8×C29D414yes—
47C23×C4×C29C2311yescharacteristic
48C23×C4×C29C2312yes—
49C23×C4×C29C2311yescharacteristic
50C23×C4×C29C2312yes—
51C23×C4×C29C2311yescharacteristic
52C23×C4×C29C2312yes—
53C23×C4×C29C2311yescharacteristic
54C23×C4×C29C2312yes—
55C23×C4×C29C2311yescharacteristic
56C23×C4×C29C2311yescharacteristic
57C4×Q8×C29—232no—
58C2×C4⋊C4×C29—24no—
59C2×C4⋊C4×C29—22no—
60C2×C4⋊C4×C29—24no—
61C2×C4⋊C4×C29—24no—
62C2×C4⋊C4×C29—22no—
63C2×C4⋊C4×C29—24no—
64C2×C4⋊C4×C29—22no—
65C2×C4⋊C4×C29—24no—
66C2×C4⋊C4×C29—24no—
67C2×C4⋊C4×C29—24no—
68C2×C4⋊C4×C29—24no—
69C2×C4⋊C4×C29—22no—
70C2×C4⋊C4×C29—42no—
71C2×C4⋊C4×C29D418yes—
72C2×C22⋊C4×C29—22no—
73C2×C22⋊C4×C29—22no—
74C2×C22⋊C4×C29—22no—
75C2×C22⋊C4×C29—22no—
76C2×C22⋊C4×C29—24no—
77C2×C22⋊C4×C29—22no—
78C2×C22⋊C4×C29—24no—
79C2×C22⋊C4×C29—24no—
80C2×C22⋊C4×C29—24no—
81C2×C22⋊C4×C29—24no—
82C2×C22⋊C4×C29—24no—
83C2×C22⋊C4×C29—22no—
84C2×C22⋊C4×C29—42no—
85C2×C22⋊C4×C29Q814yescomplemented
86C2×C42×C29—24no—
87C2×C42×C29—24no—
88C2×C42×C29—24no—
89C2×C42×C29—24no—
90C2×C42×C29D414yes—
91C29×#95—22no—
92C29×#95—22no—
93C29×#95—22no—
94C29×#95—24no—
95C29×#95—22no—
96C29×#95—24no—
97C29×#95—24no—
98C29×#95—24no—
99C29×#95—24no—
100C29×#95—42no—
101C24×C29—21no—
102C24×C29—22no—
103C24×C29—21no—
104C24×C29—21no—
105C24×C29—22no—
106C24×C29—22no—
107C24×C29—21no—
108C24×C29—21no—
109C24×C29—22no—
110C24×C29—21no—
111C24×C29C2×Q812yes—
112C24×C29C2411yescharacteristic
113C2×Q8×C29—28no—
114C2×Q8×C29—28no—
115C2×Q8×C29—216no—
116C2×Q8×C29—216no—
117C2×Q8×C29—28no—
118C22×C4×C29—22no—
119C22×C4×C29—22no—
120C22×C4×C29—22no—
121C22×C4×C29—22no—
122C22×C4×C29—22no—
123C22×C4×C29—22no—
124C22×C4×C29—22no—
125C22×C4×C29—22no—
126C22×C4×C29—21no—
127C22×C4×C29—22no—
128C22×C4×C29—21no—
129C22×C4×C29—22no—
130C22×C4×C29—22no—
131C22×C4×C29—22no—
132C22×C4×C29—21no—
133C22×C4×C29—22no—
134C22×C4×C29—21no—
135C22×C4×C29—21no—
136C22×C4×C29—22no—
137C22×C4×C29—22no—
138C22×C4×C29—21no—
139C22×C4×C29—22no—
140C22×C4×C29—22no—
141C22×C4×C29—22no—
142C22×C4×C29—22no—
143C22×C4×C29—21no—
144C22×C4×C29—22no—
145C22×C4×C29—22no—
146C22×C4×C29—21no—
147C22×C4×C29—21no—
148C22×C4×C29—22no—
149C22×C4×C29—22no—
150C22×C4×C29—21no—
151C22×C4×C29—21no—
152C22×C4×C29—22no—
153C22×C4×C29—21no—
154C22×C4×C29—22no—
155C22×C4×C29—21no—
156C22×C4×C29—22no—
157C22×C4×C29—21no—
158C22×C4×C29—22no—
159C22×C4×C29—22no—
160C22×C4×C29—22no—
161C22×C4×C29—22no—
162C22×C4×C29—22no—
163C22×C4×C29—22no—
164C22×C4×C29C2×D414yes—
165C22×C4×C29C2×D414yes—
166C22×C4×C29C2×D412yes—
167C22×C4×C29C2×D414yes—
168C22×C4×C29C2×D412yes—
169C22×C4×C29C2×D412yes—
170C22×C4×C29C2×D414yes—
171C22×C4×C29C2×D412yes—
172C22×C4×C29C2×Q812yes—
173C22×C4×C29C2×Q812yes—
174C22×C4×C29#4114yes—
175C22×C4×C29#4114yes—
176C22×C4×C29#4112yes—
177C22×C4×C29#4112yes—
178C4⋊C4×C29—28no—
179C4⋊C4×C29—216no—
180C4⋊C4×C29—48no—
181C4⋊C4×C29—44no—
182C4⋊C4×C29—48no—
183C22⋊C4×C29—28no—
184C22⋊C4×C29—48no—
185C22⋊C4×C29—44no—
186C22⋊C4×C29—44no—
187C22⋊C4×C29—48no—
188C42×C29—216no—
189C42×C29—28no—
190#14877C2911yesmaximal, characteristic, direct product factor, Sylow
191C23×C29—22no—
192C23×C29—24no—
193C23×C29—24no—
194C23×C29—22no—
195C23×C29—22no—
196C23×C29—41no—
197C23×C29—42no—
198C23×C29—41no—
199C23×C29—41no—
200C23×C29—42no—
201C23×C29—42no—
202C23×C29—41no—
203C23×C29—41no—
204C23×C29—41no—
205C23×C29—42no—
206C23×C29—42no—
207C23×C29—42no—
208C23×C29—42no—
209C23×C29—42no—
210C23×C29—42no—
211C23×C29—41no—
212C23×C29—42no—
213C23×C29—41no—
214C23×C29C22×D411yescharacteristic
215C23×C29C22×D412yes—
216C23×C29C22×D411yescharacteristic
217C23×C29C22×Q811yescharacteristic
218C23×C29C2×#4112yes—
219C23×C29C2×#4111yescharacteristic
220C23×C29C2×#4111yescharacteristic
221C23×C29C2×#4112yes—
222C23×C29H(5,𝔽2)11yescharacteristic
223C23×C292−1+412yes—
224C23×C292−1+411yescharacteristic
225Q8×C29—232no—
226C2×C4×C29—22no—
227C2×C4×C29—24no—
228C2×C4×C29—22no—
229C2×C4×C29—24no—
230C2×C4×C29—24no—
231C2×C4×C29—24no—
232C2×C4×C29—22no—
233C2×C4×C29—24no—
234C2×C4×C29—24no—
235C2×C4×C29—24no—
236C2×C4×C29—24no—
237C2×C4×C29—22no—
238C2×C4×C29—22no—
239C2×C4×C29—22no—
240C2×C4×C29—24no—
241C2×C4×C29—24no—
242C2×C4×C29—24no—
243C2×C4×C29—24no—
244C2×C4×C29—24no—
245C2×C4×C29—22no—
246C2×C4×C29—24no—
247C2×C4×C29—24no—
248C2×C4×C29—24no—
249C2×C4×C29—24no—
250C2×C4×C29—24no—
251C2×C4×C29—22no—
252C2×C4×C29—22no—
253C2×C4×C29—42no—
254C2×C4×C29—41no—
255C2×C4×C29—42no—
256C2×C4×C29—42no—
257C2×C4×C29—41no—
258C2×C4×C29—42no—
259C2×C4×C29—42no—
260C2×C4×C29—42no—
261C2×C4×C29—42no—
262C2×C4×C29—42no—
263C2×C4×C29—41no—
264C2×C4×C29—41no—
265C2×C4×C29—41no—
266C2×C4×C29—42no—
267C2×C4×C29—41no—
268C2×C4×C29—42no—
269C2×C4×C29—41no—
270C2×C4×C29—41no—
271C2×C4×C29—42no—
272C2×C4×C29—42no—
273C2×C4×C29—41no—
274C2×C4×C29—41no—
275C2×C4×C29—42no—
276C2×C4×C29—42no—
277C2×C4×C29—42no—
278C2×C4×C29—42no—
279C2×C4×C29—42no—
280C2×C4×C29—42no—
281C2×C4×C29—42no—
282C2×C4×C29#12014yes—
283C2×C4×C29#12118yes—
284C2×C4×C29#12114yes—
285C2×C4×C29C22⋊Q814yes—
286C22×C4×Q8C2×C2911yescharacteristic, complemented
287C2×#396C2×C2912yes—
288C2×#395C2×C2911yescharacteristic, complemented
289C2×#393C2×C2911yescharacteristic
290C2×#388C2×C2911yescharacteristic
291#1441C2×C2911yescharacteristic, complemented
292#1441C2×C2912yescomplemented
293#1439C2×C2911yescharacteristic
294#1437C2×C2912yes—
295#1436C2×C2912yescomplemented
296C4⋊#95C2×C2911yescharacteristic, complemented
297C22×C29—42no—
298C22×C29—42no—
299C22×C29—44no—
300C22×C29—44no—
301C22×C29—42no—
302C22×C29—81no—
303C22×C29—81no—
304C22×C29—82no—
305C22×C29—81no—
306C22×C29—82no—
307C22×C29—81no—
308C22×C29C2×#12011yescharacteristic
309C22×C29C2×#12112yes—
310C22×C29C2×#12111yescharacteristic
311C22×C29C2×C22⋊Q811yescharacteristic
312C22×C29#52511yescharacteristic
313C22×C29#52512yes—
314C22×C29#52912yes—
315C22×C29#53211yescharacteristic
316C22×C29#53312yes—
317C22×C29#53611yescharacteristic
318C22×C29#53711yescharacteristic
319C22×C29#54112yes—
320C22×C29#54212yes—
321C22×C29#54612yes—
322C22×C29#54712yes—
323C22×C29#54812yes—
324C22×C29#54812yes—
325C22×C29D4×Q812yes—
326C22×C29D4×Q811yescharacteristic
327C22×C29#55011yescharacteristic
328C22×C29#55411yescharacteristic
329C22×C29#55612yes—
330C22×C29#55611yescharacteristic
331C4×C29—28no—
332C4×C29—24no—
333C4×C29—24no—
334C4×C29—24no—
335C4×C29—44no—
336C4×C29—44no—
337C4×C29—42no—
338C4×C29—81no—
339C4×C29—82no—
340C4×C29—81no—
341C23×Q8C22×C2911yescharacteristic
342C2×C4×Q8—28no—
343C2×C4×Q8—24no—
344C22×C4⋊C4C22×C2912yes—
345C22×C4⋊C4C22×C2911yescharacteristic
346C22×C4⋊C4C22×C2911yescharacteristic
347C22×C4⋊C4C22×C2912yes—
348C22×C4⋊C4C22×C2912yes—
349C22×C22⋊C4C22×C2912yes—
350C22×C22⋊C4C22×C2911yescharacteristic
351C22×C22⋊C4C22×C2911yescharacteristic
352C22×C22⋊C4C22×C2912yes—
353C22×C22⋊C4C22×C2911yescharacteristic
354C22×C42C22×C2912yes—
355C22×C42C22×C2911yescharacteristic
356#396—28no—
357#395—24no—
358#393—24no—
359#388—24no—
360C2×#95C22×C2911yescharacteristic
361C2×#95C22×C2912yes—
362C2×#95C22×C2911yescharacteristic
363C2×#95C22×C2912yes—
364C2×#95C22×C2912yes—
365C2×#95C22×C2912yes—
366C2×#95C22×C2911yescharacteristic
367C2×#95C22×C2912yes—
368C2×#95C22×C2911yescharacteristic
369C2×#95C22×C2912yes—
370C2×C29—82no—
371C2×C29#239611yescharacteristic
372C2×C29#240911yescharacteristic
373C2×C29#242612yes—
374C2×C29#242912yes—
375C2×C29#243011yescharacteristic
376C2×C29#246512yes—
377C2×C29#246912yes—
378C2×C29#253811yescharacteristic
379C2×C29#254511yescharacteristic
380C2×C29#263711yescharacteristic
381C2×C29#284711yescharacteristic
382C25C23×C2911yescharacteristic
383C22×Q8—24no—
384C22×Q8—22no—
385C22×Q8—24no—
386C22×Q8—22no—
387C22×Q8D4×C2914yes—
388C23×C4C23×C2911yescharacteristic
389C23×C4C23×C2912yes—
390C23×C4C23×C2911yescharacteristic
391C23×C4C23×C2912yes—
392C23×C4C23×C2911yescharacteristic
393C23×C4C23×C2912yes—
394C23×C4C23×C2911yescharacteristic
395C23×C4C23×C2912yes—
396C23×C4C23×C2911yescharacteristic
397C23×C4C23×C2911yescharacteristic
398C4×Q8—232no—
399C2×C4⋊C4—24no—
400C2×C4⋊C4—22no—
401C2×C4⋊C4—24no—
402C2×C4⋊C4—24no—
403C2×C4⋊C4—22no—
404C2×C4⋊C4—24no—
405C2×C4⋊C4—22no—
406C2×C4⋊C4—24no—
407C2×C4⋊C4—24no—
408C2×C4⋊C4—24no—
409C2×C4⋊C4—24no—
410C2×C4⋊C4—22no—
411C2×C4⋊C4—42no—
412C2×C4⋊C4D4×C2918yes—
413C2×C22⋊C4—22no—
414C2×C22⋊C4—22no—
415C2×C22⋊C4—22no—
416C2×C22⋊C4—22no—
417C2×C22⋊C4—24no—
418C2×C22⋊C4—22no—
419C2×C22⋊C4—24no—
420C2×C22⋊C4—24no—
421C2×C22⋊C4—24no—
422C2×C22⋊C4—24no—
423C2×C22⋊C4—24no—
424C2×C22⋊C4—22no—
425C2×C22⋊C4—42no—
426C2×C22⋊C4Q8×C2914yescomplemented
427C2×C42—24no—
428C2×C42—24no—
429C2×C42—24no—
430C2×C42—24no—
431C2×C42D4×C2914yes—
432#95—22no—
433#95—22no—
434#95—22no—
435#95—24no—
436#95—22no—
437#95—24no—
438#95—24no—
439#95—24no—
440#95—24no—
441#95—42no—
442C29#1487711yescharacteristic, direct product factor, Sylow
443C24—21no—
444C24—22no—
445C24—21no—
446C24—21no—
447C24—22no—
448C24—22no—
449C24—21no—
450C24—21no—
451C24—22no—
452C24—21no—
453C24C2×Q8×C2912yes—
454C24C24×C2911yescharacteristic
455C2×Q8—28no—
456C2×Q8—216no—
457C2×Q8—28no—
458C2×Q8—216no—
459C2×Q8—28no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—22no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4C2×D4×C2914yes—
507C22×C4C2×D4×C2912yes—
508C22×C4C2×D4×C2914yes—
509C22×C4C2×D4×C2912yes—
510C22×C4C2×D4×C2914yes—
511C22×C4C2×D4×C2914yes—
512C22×C4C2×D4×C2912yes—
513C22×C4C2×D4×C2912yes—
514C22×C4C2×Q8×C2912yes—
515C22×C4C2×Q8×C2912yes—
516C22×C4#41×C2914yes—
517C22×C4#41×C2914yes—
518C22×C4#41×C2912yes—
519C22×C4#41×C2912yes—
520C4⋊C4—28no—
521C4⋊C4—216no—
522C4⋊C4—48no—
523C4⋊C4—44no—
524C4⋊C4—48no—
525C22⋊C4—28no—
526C22⋊C4—48no—
527C22⋊C4—44no—
528C22⋊C4—44no—
529C22⋊C4—48no—
530C42—216no—
531C42—28no—
532C23—22no—
533C23—24no—
534C23—22no—
535C23—24no—
536C23—22no—
537C23—41no—
538C23—42no—
539C23—41no—
540C23—42no—
541C23—41no—
542C23—42no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—41no—
553C23—42no—
554C23—41no—
555C23C22×D4×C2911yescharacteristic
556C23C22×D4×C2912yes—
557C23C22×D4×C2911yescharacteristic
558C23C22×Q8×C2911yescharacteristic
559C23C2×#41×C2912yes—
560C23C2×#41×C2911yescharacteristic
561C23C2×#41×C2911yescharacteristic
562C23C2×#41×C2912yes—
563C23C29×H(5,𝔽2)11yescharacteristic
564C23C29×2−1+412yes—
565C23C29×2−1+411yescharacteristic
566Q8—232no—
567C2×C4—22no—
568C2×C4—24no—
569C2×C4—22no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—22no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—22no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—42no—
595C2×C4—41no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—41no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—41no—
613C2×C4—42no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4C29×#12014yes—
624C2×C4C29×#12118yes—
625C2×C4C29×#12114yes—
626C2×C4C29×C22⋊Q814yes—
627C22—44no—
628C22—44no—
629C22—42no—
630C22—42no—
631C22—42no—
632C22—82no—
633C22—81no—
634C22—82no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22C2×C29×#12011yescharacteristic
639C22C2×C29×#12112yes—
640C22C2×C29×#12111yescharacteristic
641C22C2×C29×C22⋊Q811yescharacteristic
642C22C29×#52512yes—
643C22C29×#52511yescharacteristic
644C22C29×#52912yes—
645C22C29×#53211yescharacteristic
646C22C29×#53312yes—
647C22C29×#53611yescharacteristic
648C22C29×#53711yescharacteristic
649C22C29×#54112yes—
650C22C29×#54212yes—
651C22C29×#54612yes—
652C22C29×#54712yes—
653C22C29×#54812yes—
654C22C29×#54812yes—
655C22D4×Q8×C2911yescharacteristic
656C22D4×Q8×C2912yes—
657C22C29×#55011yescharacteristic
658C22C29×#55411yescharacteristic
659C22C29×#55612yes—
660C22C29×#55611yescharacteristic
661C4—24no—
662C4—28no—
663C4—24no—
664C4—24no—
665C4—44no—
666C4—44no—
667C4—42no—
668C4—82no—
669C4—81no—
670C4—81no—
671C2—82no—
672C2C29×#239611yescharacteristic
673C2C29×#240911yescharacteristic
674C2C29×#242612yes—
675C2C29×#242912yes—
676C2C29×#243011yescharacteristic
677C2C29×#246512yes—
678C2C29×#246912yes—
679C2C29×#253811yescharacteristic
680C2C29×#254511yescharacteristic
681C2C29×#263711yescharacteristic
682C2C29×#284711yescharacteristic
subgroupG/H
center, socleC24×C29C24
commutator, Frattini, cosocleC24C24×C29
prime radicalC25×C29C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C4×Q8×C29C2semidirect
3. C2×C29×#395C2semidirect
6. C29×#1441C2semidirect
7. C29×#1441C2semidirect
10. C29×#1436C2semidirect
11. C29×C4⋊#95C2semidirect
85. C2×C22⋊C4×C29Q8semidirect
190. #14877C29direct (N × H)
286. C22×C4×Q8C2×C29semidirect
288. C2×#395C2×C29semidirect
291. #1441C2×C29semidirect
292. #1441C2×C29semidirect
295. #1436C2×C29semidirect
296. C4⋊#95C2×C29semidirect
426. C2×C22⋊C4Q8×C29semidirect
442. C29#14877direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×Q8×C292
C2×C29×#3962
C2×C29×#3952
C2×C29×#3932
C2×C29×#3882
C29×#14412
C29×#14392
C29×#14372
C29×#14362
C29×C4⋊#952
#1487729