Finite Group Databasebeta

← C29×#16264 #20311164

Subgroups — C29×#16264 #20311164

Order 7424.

1842 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C29×C22⋊Q8C211yesmaximal, characteristic
2C2×C29×#398C212yesmaximal, complemented
3C2×C29×#395C211yesmaximal, characteristic, complemented
4C2×C29×#385C211yesmaximal, characteristic
5C2×C29×#380C211yesmaximal, characteristic
6C29×#1446C211yesmaximal, characteristic, complemented
7C29×#1442C211yesmaximal, characteristic, complemented
8C29×#1441C211yesmaximal, characteristic, complemented
9C29×#1441C212yesmaximal, complemented
10C29×#1440C212yesmaximal
11C29×#1439C212yesmaximal
12C23×Q8×C29C2211yescharacteristic
13C24×C4×C29C2211yescharacteristic
14C2×C29×C22⋊Q8—24no—
15C2×C29×C22⋊Q8—28no—
16C22×C4⋊C4×C29C2211yescharacteristic
17C22×C4⋊C4×C29C2211yescharacteristic
18C22×C4⋊C4×C29C2211yescharacteristic
19C22×C4⋊C4×C29C2212yes—
20C22×C4⋊C4×C29C2212yes—
21C22×C4⋊C4×C29C2212yes—
22C22×C22⋊C4×C29C2212yes—
23C22×C22⋊C4×C29C2212yes—
24C22×C22⋊C4×C29C2211yescharacteristic
25C22×C22⋊C4×C29C2211yescharacteristic
26C29×#398—28no—
27C29×#395—24no—
28C29×#385—24no—
29C29×#380—24no—
30C2×C29×#95C2212yes—
31C2×C29×#95C2212yes—
32C2×C29×#95C2212yes—
33C2×C29×#95C2212yes—
34C2×C29×#95C2211yescharacteristic
35C2×C29×#95C2211yescharacteristic
36C2×C29×#95C2211yescharacteristic
37C2×C29×#95C2212yes—
38C2×C29×#95C2212yes—
39C2×C29×#95C2212yes—
40C2×C29×#95C2211yescharacteristic
41C25×C29C2311yescharacteristic
42C22×Q8×C29—24no—
43C22×Q8×C29—22no—
44C22×Q8×C29—22no—
45C22×Q8×C29—22no—
46C22×Q8×C29—42no—
47C23×C4×C29—24no—
48C23×C4×C29—22no—
49C23×C4×C29—22no—
50C23×C4×C29—42no—
51C23×C4×C29D414yes—
52C23×C4×C29C2311yescharacteristic
53C23×C4×C29C2312yes—
54C23×C4×C29C2311yescharacteristic
55C23×C4×C29C2312yes—
56C23×C4×C29C2312yes—
57C23×C4×C29C2312yes—
58C23×C4×C29C2311yescharacteristic
59C23×C4×C29C2311yescharacteristic
60C23×C4×C29C2311yescharacteristic
61C23×C4×C29C2311yescharacteristic
62C29×C22⋊Q8—232no—
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—22no—
69C2×C4⋊C4×C29—22no—
70C2×C4⋊C4×C29—24no—
71C2×C4⋊C4×C29—22no—
72C2×C4⋊C4×C29—24no—
73C2×C4⋊C4×C29—24no—
74C2×C4⋊C4×C29—24no—
75C2×C4⋊C4×C29—22no—
76C2×C4⋊C4×C29—42no—
77C2×C4⋊C4×C29—42no—
78C2×C4⋊C4×C29D418yes—
79C2×C22⋊C4×C29—24no—
80C2×C22⋊C4×C29—22no—
81C2×C22⋊C4×C29—22no—
82C2×C22⋊C4×C29—24no—
83C2×C22⋊C4×C29—24no—
84C2×C22⋊C4×C29—22no—
85C2×C22⋊C4×C29—24no—
86C2×C22⋊C4×C29—24no—
87C2×C22⋊C4×C29—42no—
88C2×C22⋊C4×C29—42no—
89C2×C22⋊C4×C29Q814yescomplemented
90C29×#95—22no—
91C29×#95—22no—
92C29×#95—22no—
93C29×#95—24no—
94C29×#95—24no—
95C29×#95—24no—
96C29×#95—24no—
97C29×#95—42no—
98C29×#95—42no—
99C29×#95—42no—
100C29×#95D414yes—
101C24×C29—22no—
102C24×C29—21no—
103C24×C29—21no—
104C24×C29—21no—
105C24×C29—22no—
106C24×C29—22no—
107C24×C29—22no—
108C24×C29—21no—
109C24×C29C2×D412yes—
110C24×C29C2×Q812yes—
111C24×C29#4112yes—
112C24×C29C2411yescharacteristic
113C2×Q8×C29—28no—
114C2×Q8×C29—48no—
115C2×Q8×C29—48no—
116C2×Q8×C29—44no—
117C2×Q8×C29—44no—
118C22×C4×C29—21no—
119C22×C4×C29—22no—
120C22×C4×C29—21no—
121C22×C4×C29—22no—
122C22×C4×C29—22no—
123C22×C4×C29—22no—
124C22×C4×C29—22no—
125C22×C4×C29—22no—
126C22×C4×C29—22no—
127C22×C4×C29—21no—
128C22×C4×C29—21no—
129C22×C4×C29—22no—
130C22×C4×C29—22no—
131C22×C4×C29—22no—
132C22×C4×C29—21no—
133C22×C4×C29—21no—
134C22×C4×C29—21no—
135C22×C4×C29—22no—
136C22×C4×C29—21no—
137C22×C4×C29—22no—
138C22×C4×C29—22no—
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—22no—
147C22×C4×C29—22no—
148C22×C4×C29—22no—
149C22×C4×C29—22no—
150C22×C4×C29—21no—
151C22×C4×C29—28no—
152C22×C4×C29—28no—
153C22×C4×C29—21no—
154C22×C4×C29—22no—
155C22×C4×C29—21no—
156C22×C4×C29—21no—
157C22×C4×C29—22no—
158C22×C4×C29—22no—
159C22×C4×C29—22no—
160C22×C4×C29—21no—
161C22×C4×C29—22no—
162C22×C4×C29—22no—
163C22×C4×C29—22no—
164C22×C4×C29—22no—
165C22×C4×C29—21no—
166C22×C4×C29—22no—
167C22×C4×C29—22no—
168C22×C4×C29—22no—
169C22×C4×C29—21no—
170C22×C4×C29—44no—
171C22×C4×C29—48no—
172C22×C4×C29—48no—
173C22×C4×C29C2×D414yes—
174C22×C4×C29C2×D414yes—
175C22×C4×C29C2×D414yes—
176C22×C4×C29C2×D414yes—
177C22×C4×C29C2×D412yes—
178C22×C4×C29C2×D412yes—
179C22×C4×C29C2×D412yes—
180C22×C4×C29C2×Q812yes—
181C22×C4×C29C2×Q812yes—
182C22×C4×C29#4112yes—
183C4⋊C4×C29—28no—
184C4⋊C4×C29—216no—
185C4⋊C4×C29—48no—
186C4⋊C4×C29—48no—
187C4⋊C4×C29—44no—
188C4⋊C4×C29—44no—
189C22⋊C4×C29—216no—
190C22⋊C4×C29—28no—
191C22⋊C4×C29—48no—
192C22⋊C4×C29—44no—
193#16264C2911yesmaximal, characteristic, direct product factor, Sylow
194C23×C29—22no—
195C23×C29—22no—
196C23×C29—22no—
197C23×C29—22no—
198C23×C29—22no—
199C23×C29—22no—
200C23×C29—24no—
201C23×C29—24no—
202C23×C29—22no—
203C23×C29—24no—
204C23×C29—24no—
205C23×C29—22no—
206C23×C29—22no—
207C23×C29—22no—
208C23×C29—42no—
209C23×C29—42no—
210C23×C29—42no—
211C23×C29—42no—
212C23×C29—42no—
213C23×C29—42no—
214C23×C29—42no—
215C23×C29—42no—
216C23×C29C22⋊Q814yes—
217C23×C29C22×D411yescharacteristic
218C23×C29C22×D412yes—
219C23×C29C22×D411yescharacteristic
220C23×C29C22×Q811yescharacteristic
221C23×C29C2×#4111yescharacteristic
222C23×C29C2×#4111yescharacteristic
223C23×C29H(5,𝔽2)12yes—
224C23×C29H(5,𝔽2)11yescharacteristic
225C23×C292−1+412yes—
226C23×C292−1+411yescharacteristic
227C23×C292−1+412yes—
228Q8×C29—416no—
229C2×C4×C29—22no—
230C2×C4×C29—22no—
231C2×C4×C29—22no—
232C2×C4×C29—22no—
233C2×C4×C29—24no—
234C2×C4×C29—24no—
235C2×C4×C29—24no—
236C2×C4×C29—24no—
237C2×C4×C29—24no—
238C2×C4×C29—24no—
239C2×C4×C29—22no—
240C2×C4×C29—22no—
241C2×C4×C29—24no—
242C2×C4×C29—24no—
243C2×C4×C29—24no—
244C2×C4×C29—24no—
245C2×C4×C29—24no—
246C2×C4×C29—24no—
247C2×C4×C29—24no—
248C2×C4×C29—24no—
249C2×C4×C29—22no—
250C2×C4×C29—22no—
251C2×C4×C29—416no—
252C2×C4×C29—41no—
253C2×C4×C29—41no—
254C2×C4×C29—42no—
255C2×C4×C29—42no—
256C2×C4×C29—42no—
257C2×C4×C29—42no—
258C2×C4×C29—41no—
259C2×C4×C29—42no—
260C2×C4×C29—42no—
261C2×C4×C29—41no—
262C2×C4×C29—42no—
263C2×C4×C29—42no—
264C2×C4×C29—42no—
265C2×C4×C29—41no—
266C2×C4×C29—42no—
267C2×C4×C29—42no—
268C2×C4×C29—42no—
269C2×C4×C29—41no—
270C2×C4×C29—42no—
271C2×C4×C29—41no—
272C2×C4×C29—41no—
273C2×C4×C29—41no—
274C2×C4×C29—41no—
275C2×C4×C29—42no—
276C2×C4×C29—41no—
277C2×C4×C29—42no—
278C2×C4×C29—41no—
279C2×C4×C29—42no—
280C2×C4×C29—42no—
281C2×C4×C29—42no—
282C2×C4×C29—42no—
283C2×C4×C29—42no—
284C2×C4×C29—42no—
285C2×C4×C29—42no—
286C2×C4×C29—42no—
287C2×C4×C29—42no—
288C2×C4×C29#12014yes—
289C2×C4×C29#12114yes—
290C22×C22⋊Q8C2×C2911yescharacteristic
291C2×#398C2×C2912yescomplemented
292C2×#395C2×C2911yescharacteristic, complemented
293C2×#385C2×C2911yescharacteristic
294C2×#380C2×C2911yescharacteristic
295#1446C2×C2911yescharacteristic, complemented
296#1442C2×C2911yescharacteristic, complemented
297#1441C2×C2911yescharacteristic, complemented
298#1441C2×C2912yescomplemented
299#1440C2×C2912yes—
300#1439C2×C2912yes—
301C22×C29—24no—
302C22×C29—24no—
303C22×C29—24no—
304C22×C29—42no—
305C22×C29—42no—
306C22×C29—42no—
307C22×C29—44no—
308C22×C29—44no—
309C22×C29—44no—
310C22×C29—44no—
311C22×C29—42no—
312C22×C29C2×#12011yescharacteristic
313C22×C29C2×#12111yescharacteristic
314C22×C29C2×C22⋊Q811yescharacteristic
315C22×C29#53411yescharacteristic
316C22×C29#53611yescharacteristic
317C22×C29#53612yes—
318C22×C29#53611yescharacteristic
319C22×C29#53612yes—
320C22×C29#53711yescharacteristic
321C22×C29#53712yes—
322C22×C29#53912yes—
323C22×C29#54112yes—
324C22×C29#54412yes—
325C22×C29D4212yes—
326C22×C29#54612yes—
327C22×C29#54611yescharacteristic
328C22×C29#54812yes—
329C22×C29D4×Q812yes—
330C22×C29D4×Q811yescharacteristic
331C22×C29#55211yescharacteristic
332C22×C29#55411yescharacteristic
333C22×C29#56212yes—
334C22×C29#56312yes—
335C4×C29—24no—
336C4×C29—24no—
337C4×C29—44no—
338C4×C29—42no—
339C4×C29—44no—
340C4×C29—42no—
341C4×C29—44no—
342C4×C29—81no—
343C4×C29—82no—
344C4×C29—81no—
345C23×Q8C22×C2911yescharacteristic
346C24×C4C22×C2911yescharacteristic
347C2×C22⋊Q8—24no—
348C2×C22⋊Q8—28no—
349C22×C4⋊C4C22×C2911yescharacteristic
350C22×C4⋊C4C22×C2911yescharacteristic
351C22×C4⋊C4C22×C2911yescharacteristic
352C22×C4⋊C4C22×C2912yes—
353C22×C4⋊C4C22×C2912yes—
354C22×C4⋊C4C22×C2912yes—
355C22×C22⋊C4C22×C2912yes—
356C22×C22⋊C4C22×C2912yes—
357C22×C22⋊C4C22×C2911yescharacteristic
358C22×C22⋊C4C22×C2911yescharacteristic
359#398—28no—
360#395—24no—
361#385—24no—
362#380—24no—
363C2×#95C22×C2912yes—
364C2×#95C22×C2912yes—
365C2×#95C22×C2912yes—
366C2×#95C22×C2912yes—
367C2×#95C22×C2911yescharacteristic
368C2×#95C22×C2911yescharacteristic
369C2×#95C22×C2911yescharacteristic
370C2×#95C22×C2912yes—
371C2×#95C22×C2912yes—
372C2×#95C22×C2912yes—
373C2×#95C22×C2911yescharacteristic
374C2×C29—44no—
375C2×C29#240911yescharacteristic
376C2×C29#241011yescharacteristic
377C2×C29#241711yescharacteristic
378C2×C29#261611yescharacteristic
379C2×C29#262111yescharacteristic
380C2×C29#262711yescharacteristic
381C2×C29#267712yes—
382C2×C29#268112yes—
383C2×C29#269012yes—
384C2×C29#270412yes—
385C2×C29#281411yescharacteristic
386C25C23×C2911yescharacteristic
387C22×Q8—24no—
388C22×Q8—22no—
389C22×Q8—22no—
390C22×Q8—22no—
391C22×Q8—42no—
392C23×C4—24no—
393C23×C4—22no—
394C23×C4—22no—
395C23×C4—42no—
396C23×C4D4×C2914yes—
397C23×C4C23×C2911yescharacteristic
398C23×C4C23×C2912yes—
399C23×C4C23×C2911yescharacteristic
400C23×C4C23×C2912yes—
401C23×C4C23×C2912yes—
402C23×C4C23×C2912yes—
403C23×C4C23×C2911yescharacteristic
404C23×C4C23×C2911yescharacteristic
405C23×C4C23×C2911yescharacteristic
406C23×C4C23×C2911yescharacteristic
407C22⋊Q8—232no—
408C2×C4⋊C4—24no—
409C2×C4⋊C4—22no—
410C2×C4⋊C4—24no—
411C2×C4⋊C4—24no—
412C2×C4⋊C4—24no—
413C2×C4⋊C4—22no—
414C2×C4⋊C4—22no—
415C2×C4⋊C4—24no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—24no—
419C2×C4⋊C4—24no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—42no—
422C2×C4⋊C4—42no—
423C2×C4⋊C4D4×C2918yes—
424C2×C22⋊C4—24no—
425C2×C22⋊C4—22no—
426C2×C22⋊C4—22no—
427C2×C22⋊C4—24no—
428C2×C22⋊C4—24no—
429C2×C22⋊C4—22no—
430C2×C22⋊C4—24no—
431C2×C22⋊C4—24no—
432C2×C22⋊C4—42no—
433C2×C22⋊C4—42no—
434C2×C22⋊C4Q8×C2914yescomplemented
435#95—22no—
436#95—22no—
437#95—22no—
438#95—24no—
439#95—24no—
440#95—24no—
441#95—24no—
442#95—42no—
443#95—42no—
444#95—42no—
445#95D4×C2914yes—
446C29#1626411yescharacteristic, direct product factor, Sylow
447C24—22no—
448C24—21no—
449C24—21no—
450C24—21no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—21no—
455C24C2×D4×C2912yes—
456C24C2×Q8×C2912yes—
457C24#41×C2912yes—
458C24C24×C2911yescharacteristic
459C2×Q8—28no—
460C2×Q8—48no—
461C2×Q8—48no—
462C2×Q8—44no—
463C2×Q8—44no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—28no—
498C22×C4—28no—
499C22×C4—21no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—22no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—44no—
517C22×C4—48no—
518C22×C4—48no—
519C22×C4C2×D4×C2914yes—
520C22×C4C2×D4×C2914yes—
521C22×C4C2×D4×C2914yes—
522C22×C4C2×D4×C2912yes—
523C22×C4C2×D4×C2914yes—
524C22×C4C2×D4×C2912yes—
525C22×C4C2×D4×C2912yes—
526C22×C4C2×Q8×C2912yes—
527C22×C4C2×Q8×C2912yes—
528C22×C4#41×C2912yes—
529C4⋊C4—28no—
530C4⋊C4—216no—
531C4⋊C4—48no—
532C4⋊C4—48no—
533C4⋊C4—44no—
534C4⋊C4—44no—
535C22⋊C4—216no—
536C22⋊C4—28no—
537C22⋊C4—48no—
538C22⋊C4—44no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—22no—
543C23—22no—
544C23—22no—
545C23—24no—
546C23—24no—
547C23—22no—
548C23—24no—
549C23—22no—
550C23—24no—
551C23—22no—
552C23—22no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23C29×C22⋊Q814yes—
562C23C22×D4×C2911yescharacteristic
563C23C22×D4×C2912yes—
564C23C22×D4×C2911yescharacteristic
565C23C22×Q8×C2911yescharacteristic
566C23C2×#41×C2911yescharacteristic
567C23C2×#41×C2911yescharacteristic
568C23C29×H(5,𝔽2)12yes—
569C23C29×H(5,𝔽2)11yescharacteristic
570C23C29×2−1+412yes—
571C23C29×2−1+411yescharacteristic
572C23C29×2−1+412yes—
573Q8—416no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—22no—
594C2×C4—24no—
595C2×C4—22no—
596C2×C4—416no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—41no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—42no—
621C2×C4—41no—
622C2×C4—42no—
623C2×C4—41no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4C29×#12014yes—
634C2×C4C29×#12114yes—
635C22—24no—
636C22—24no—
637C22—24no—
638C22—44no—
639C22—44no—
640C22—44no—
641C22—44no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22C2×C29×#12011yescharacteristic
647C22C2×C29×#12111yescharacteristic
648C22C2×C29×C22⋊Q811yescharacteristic
649C22C29×#53411yescharacteristic
650C22C29×#53612yes—
651C22C29×#53612yes—
652C22C29×#53611yescharacteristic
653C22C29×#53611yescharacteristic
654C22C29×#53711yescharacteristic
655C22C29×#53712yes—
656C22C29×#53912yes—
657C22C29×#54112yes—
658C22C29×#54412yes—
659C22D42×C2912yes—
660C22C29×#54611yescharacteristic
661C22C29×#54612yes—
662C22C29×#54812yes—
663C22D4×Q8×C2911yescharacteristic
664C22D4×Q8×C2912yes—
665C22C29×#55211yescharacteristic
666C22C29×#55411yescharacteristic
667C22C29×#56212yes—
668C22C29×#56312yes—
669C4—24no—
670C4—24no—
671C4—42no—
672C4—44no—
673C4—44no—
674C4—42no—
675C4—44no—
676C4—82no—
677C4—81no—
678C4—81no—
679C2—44no—
680C2C29×#240911yescharacteristic
681C2C29×#241011yescharacteristic
682C2C29×#241711yescharacteristic
683C2C29×#261611yescharacteristic
684C2C29×#262111yescharacteristic
685C2C29×#262711yescharacteristic
686C2C29×#267712yes—
687C2C29×#268112yes—
688C2C29×#269012yes—
689C2C29×#270412yes—
690C2C29×#281411yescharacteristic
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
2. C2×C29×#398C2semidirect
3. C2×C29×#395C2semidirect
6. C29×#1446C2semidirect
7. C29×#1442C2semidirect
8. C29×#1441C2semidirect
9. C29×#1441C2semidirect
89. C2×C22⋊C4×C29Q8semidirect
193. #16264C29direct (N × H)
291. C2×#398C2×C29semidirect
292. C2×#395C2×C29semidirect
295. #1446C2×C29semidirect
296. #1442C2×C29semidirect
297. #1441C2×C29semidirect
298. #1441C2×C29semidirect
434. C2×C22⋊C4Q8×C29semidirect
446. C29#16264direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C29×C22⋊Q82
C2×C29×#3982
C2×C29×#3952
C2×C29×#3852
C2×C29×#3802
C29×#14462
C29×#14422
C29×#14412
C29×#14402
C29×#14392
#1626429