Finite Group Databasebeta

← C29×#33572 #20328472

Subgroups — C29×#33572 #20328472

Order 7424.

1108 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3551C211yesmaximal, characteristic, complemented
2C29×#3022C211yesmaximal, characteristic, complemented
3C29×#3021C211yesmaximal, characteristic, complemented
4C29×#3018C211yesmaximal, characteristic, complemented
5C29×#2204C214yesmaximal, complemented
6C29×#2203C214yesmaximal, complemented
7C29×#2135C211yesmaximal, characteristic, complemented
8C29×#2134C211yesmaximal, characteristic, complemented
9C29×#2132C211yesmaximal, characteristic, complemented
10C29×#585C2211yescharacteristic
11C29×#575—21no—
12C2×C29×#137—21no—
13C2×C29×AGL(1,ℤ/8)—21no—
14C29×#563C2212yescomplemented
15C29×#560—21no—
16C29×#555C2212yescomplemented
17C29×#553—21no—
18C29×#552—21no—
19C29×#551—21no—
20C29×#548—21no—
21C29×#546—21no—
22C29×#540—22no—
23C29×#538—22no—
24C29×#537—21no—
25C29×#536C2211yescharacteristic
26C29×#535C2211yescharacteristic
27C29×#532C2211yescharacteristic
28C29×#529—21no—
29C29×#456C2212yescomplemented
30C29×#456C2214yescomplemented
31C29×#455—21no—
32C29×#455—22no—
33C29×#454C2214yes—
34C29×#454C2212yescomplemented
35C29×#453—21no—
36C29×#453—22no—
37C29×#421—21no—
38C29×#421—21no—
39C2×C29×#104—21no—
40C29×#413C2211yescharacteristic
41C29×#413C2211yescharacteristic
42C29×#413C2211yescharacteristic
43C29×#356C2212yescomplemented
44C29×#356C2214yescomplemented
45C29×#355C2214yescomplemented
46C29×#355C2212yescomplemented
47C29×2−1+4—41no—
48C29×2−1+4C2312yes—
49C29×H(5,𝔽2)—21no—
50C29×H(5,𝔽2)—21no—
51C29×H(5,𝔽2)—21no—
52C29×H(5,𝔽2)—41no—
53C2×#41×C29—21no—
54C2×#41×C29—21no—
55C2×#41×C29—21no—
56C2×#41×C29—21no—
57C2×#41×C29—42no—
58C2×#41×C29D411yescharacteristic
59C2×#41×C29C2311yescharacteristic
60C22×Q8×C29D411yescharacteristic
61C22×D4×C29D411yescharacteristic
62C29×#137—24no—
63C29×#137—22no—
64C29×#137—41no—
65C29×#137—42no—
66C29×AGL(1,ℤ/8)—24no—
67C29×AGL(1,ℤ/8)—22no—
68C29×AGL(1,ℤ/8)—41no—
69C29×AGL(1,ℤ/8)—42no—
70C29×#135—42no—
71C2×Q16×C29—41no—
72C2×SD16×C29—41no—
73C2×SD16×C29—41no—
74C2×D8×C29—41no—
75C2×M16×C29—21no—
76C2×M16×C29—21no—
77C2×M16×C29—21no—
78C29×C4⋊Q8C2311yescharacteristic
79C29×C4⋊Q8C2312yes—
80C29×#127D411yescharacteristic
81C29×#127D412yes—
82C29×#126—22no—
83C29×#126—22no—
84C29×#126—22no—
85C29×#125—21no—
86C29×#125—22no—
87C29×#124—21no—
88C29×#124—22no—
89C29×#124D411yescharacteristic
90C29×#124D412yes—
91C29×#124C2312yes—
92C29×#124C2311yescharacteristic
93C29×#123—22no—
94C29×#123—22no—
95C29×#123—22no—
96C29×#123—21no—
97C29×#123—21no—
98C29×#123—22no—
99C29×C22⋊Q8—21no—
100C29×C22⋊Q8—22no—
101C29×C22⋊Q8—22no—
102C29×C22⋊Q8—21no—
103C29×C22⋊Q8—21no—
104C29×#121—22no—
105C29×#121—22no—
106C29×#121—21no—
107C29×#121—22no—
108C29×#121—22no—
109C29×#121—21no—
110C29×#121—21no—
111C29×#121—22no—
112C29×#121—22no—
113C29×#121—21no—
114C29×#121—21no—
115C29×#120—22no—
116C29×#120—21no—
117C29×#120—21no—
118C4×Q8×C29—21no—
119C4×D4×C29—22no—
120C4×D4×C29—21no—
121C4×D4×C29—22no—
122C4×D4×C29—21no—
123C4×D4×C29—21no—
124C4×D4×C29—22no—
125C29×#117—22no—
126C29×#117—22no—
127C29×#117D411yescharacteristic
128C29×#117D411yescharacteristic
129C2×C4⋊C4×C29—21no—
130C2×C22⋊C4×C29—22no—
131C2×C42×C29D411yescharacteristic
132C29×#104—24no—
133C29×#104—22no—
134C29×#104—22no—
135C29×#104—24no—
136C29×#101C2312yes—
137C29×#101C2312yes—
138C29×#101C2312yes—
139C29×#100—21no—
140C29×#100—21no—
141C29×#100—21no—
142C24×C29—21no—
143#41×C29—22no—
144#41×C29—22no—
145#41×C29—22no—
146#41×C29—22no—
147#41×C29—22no—
148#41×C29—22no—
149#41×C29—41no—
150#41×C29—41no—
151#41×C29—41no—
152#41×C29—41no—
153#41×C29—41no—
154#41×C29—41no—
155#41×C29—41no—
156#41×C29—42no—
157#41×C29—42no—
158#41×C29—42no—
159#41×C29—42no—
160#41×C29—41no—
161#41×C29—81no—
162#41×C29—81no—
163C2×Q8×C29—21no—
164C2×Q8×C29—21no—
165C2×Q8×C29—21no—
166C2×Q8×C29—21no—
167C2×Q8×C29—41no—
168C2×Q8×C29—41no—
169C2×Q8×C29—42no—
170C2×Q8×C29C2×D411yescharacteristic
171C2×Q8×C29C2×D412yes—
172C2×Q8×C29C2411yescharacteristic
173C2×D4×C29—21no—
174C2×D4×C29—21no—
175C2×D4×C29—21no—
176C2×D4×C29—22no—
177C2×D4×C29—22no—
178C2×D4×C29—21no—
179C2×D4×C29—22no—
180C2×D4×C29—22no—
181C2×D4×C29—21no—
182C2×D4×C29—21no—
183C2×D4×C29—21no—
184C2×D4×C29—41no—
185C2×D4×C29—41no—
186C2×D4×C29—42no—
187C2×D4×C29—42no—
188C2×D4×C29—42no—
189C2×D4×C29—41no—
190C2×D4×C29—41no—
191C2×D4×C29—41no—
192C2×D4×C29C2×D411yescharacteristic
193C2×D4×C29C2×D412yes—
194C2×D4×C29C2×D411yescharacteristic
195C2×D4×C29C2×D411yescharacteristic
196C2×D4×C29C2×D411yescharacteristic
197C22×C4×C29—22no—
198C22×C4×C29—22no—
199C22×C4×C29—22no—
200C22×C4×C29—21no—
201C22×C4×C29—21no—
202C22×C4×C29—21no—
203C22×C4×C29—41no—
204C22×C4×C29—41no—
205C22×C4×C29—41no—
206C22×C4×C29C2×D411yescharacteristic
207C22×C4×C29C2×D411yescharacteristic
208C22×C4×C29C2×D411yescharacteristic
209Q16×C29—44no—
210Q16×C29—42no—
211SD16×C29—44no—
212SD16×C29—42no—
213SD16×C29—44no—
214SD16×C29—42no—
215D8×C29—44no—
216D8×C29—42no—
217M16×C29—22no—
218M16×C29—22no—
219M16×C29—22no—
220M16×C29—41no—
221M16×C29—41no—
222M16×C29—41no—
223C2×C8×C29—41no—
224C2×C8×C29—41no—
225C2×C8×C29—41no—
226C4⋊C4×C29—22no—
227C4⋊C4×C29—22no—
228C4⋊C4×C29—22no—
229C4⋊C4×C29—22no—
230C4⋊C4×C29—22no—
231C4⋊C4×C29—21no—
232C4⋊C4×C29—21no—
233C4⋊C4×C29—22no—
234C4⋊C4×C29—22no—
235C4⋊C4×C29—21no—
236C4⋊C4×C29—21no—
237C22⋊C4×C29—22no—
238C22⋊C4×C29—22no—
239C22⋊C4×C29—22no—
240C22⋊C4×C29—22no—
241C22⋊C4×C29—22no—
242C22⋊C4×C29—21no—
243C22⋊C4×C29—22no—
244C22⋊C4×C29—21no—
245C22⋊C4×C29—21no—
246C22⋊C4×C29—21no—
247C22⋊C4×C29—22no—
248C22⋊C4×C29—21no—
249C22⋊C4×C29—22no—
250C22⋊C4×C29—21no—
251C22⋊C4×C29—22no—
252C42×C29—22no—
253C42×C29—21no—
254C42×C29C2×D411yescharacteristic
255C42×C29C2×D411yescharacteristic
256C42×C29C2×D412yes—
257C42×C29C2×D412yes—
258#33572C2911yesmaximal, characteristic, direct product factor, Sylow
259C23×C29—22no—
260C23×C29—21no—
261C23×C29—41no—
262C23×C29—41no—
263C23×C29—41no—
264C23×C29—81no—
265C23×C29—82no—
266C23×C29#12011yescharacteristic
267C23×C29#12011yescharacteristic
268C23×C29#12011yescharacteristic
269Q8×C29—22no—
270Q8×C29—22no—
271Q8×C29—22no—
272Q8×C29—41no—
273Q8×C29—42no—
274Q8×C29—41no—
275Q8×C29—41no—
276Q8×C29—41no—
277Q8×C29—41no—
278D4×C29—22no—
279D4×C29—22no—
280D4×C29—22no—
281D4×C29—41no—
282D4×C29—41no—
283D4×C29—41no—
284D4×C29—42no—
285D4×C29—41no—
286D4×C29—42no—
287D4×C29—42no—
288D4×C29—42no—
289D4×C29—42no—
290D4×C29—41no—
291D4×C29—41no—
292D4×C29—41no—
293D4×C29—81no—
294D4×C29—82no—
295D4×C29—82no—
296D4×C29—82no—
297D4×C29—81no—
298D4×C29—81no—
299D4×C29—82no—
300C2×C4×C29—21no—
301C2×C4×C29—21no—
302C2×C4×C29—21no—
303C2×C4×C29—21no—
304C2×C4×C29—21no—
305C2×C4×C29—21no—
306C2×C4×C29—21no—
307C2×C4×C29—22no—
308C2×C4×C29—21no—
309C2×C4×C29—22no—
310C2×C4×C29—22no—
311C2×C4×C29—21no—
312C2×C4×C29—42no—
313C2×C4×C29—42no—
314C2×C4×C29—42no—
315C2×C4×C29—41no—
316C2×C4×C29—41no—
317C2×C4×C29—41no—
318C2×C4×C29—41no—
319C2×C4×C29—41no—
320C2×C4×C29—42no—
321C2×C4×C29—81no—
322C2×C4×C29—82no—
323C2×C4×C29—81no—
324C2×C4×C29—82no—
325C2×C4×C29—82no—
326C2×C4×C29#12011yescharacteristic
327C2×C4×C29C22×D411yescharacteristic
328C2×C4×C29C22×D411yescharacteristic
329C2×C4×C29C22×D411yescharacteristic
330C8×C29—42no—
331C8×C29—42no—
332C8×C29—42no—
333#3551C2×C2911yescharacteristic, complemented
334#3022C2×C2911yescharacteristic, complemented
335#3021C2×C2911yescharacteristic, complemented
336#3018C2×C2911yescharacteristic, complemented
337#2204C2×C2914yescomplemented
338#2203C2×C2914yescomplemented
339#2135C2×C2911yescharacteristic, complemented
340#2134C2×C2911yescharacteristic, complemented
341#2132C2×C2911yescharacteristic, complemented
342C22×C29—21no—
343C22×C29—21no—
344C22×C29—21no—
345C22×C29—41no—
346C22×C29—41no—
347C22×C29—41no—
348C22×C29—41no—
349C22×C29—42no—
350C22×C29—41no—
351C22×C29—42no—
352C22×C29—42no—
353C22×C29—41no—
354C22×C29—42no—
355C22×C29—161no—
356C22×C29—161no—
357C22×C29—161no—
358C22×C29—162no—
359C22×C29C2×#12011yescharacteristic
360C4×C29—21no—
361C4×C29—21no—
362C4×C29—21no—
363C4×C29—41no—
364C4×C29—42no—
365C4×C29—42no—
366C4×C29—41no—
367C4×C29—41no—
368C4×C29—42no—
369C4×C29—42no—
370C4×C29B(4,𝔽2)11yescharacteristic
371C4×C29B(4,𝔽2)11yescharacteristic
372#585C22×C2911yescharacteristic
373#575—21no—
374C2×#137—21no—
375C2×AGL(1,ℤ/8)—21no—
376#563C22×C2912yescomplemented
377#560—21no—
378#555C22×C2912yescomplemented
379#553—21no—
380#552—21no—
381#551—21no—
382#548—21no—
383#546—21no—
384#540—22no—
385#538—22no—
386#537—21no—
387#536C22×C2911yescharacteristic
388#535C22×C2911yescharacteristic
389#532C22×C2911yescharacteristic
390#529—21no—
391#456C22×C2912yescomplemented
392#456C22×C2914yescomplemented
393#455—21no—
394#455—22no—
395#454C22×C2914yes—
396#454C22×C2912yescomplemented
397#453—21no—
398#453—22no—
399#421—21no—
400#421—21no—
401C2×#104—21no—
402#413C22×C2911yescharacteristic
403#413C22×C2911yescharacteristic
404#413C22×C2911yescharacteristic
405#356C22×C2912yescomplemented
406#356C22×C2914yescomplemented
407#355C22×C2912yescomplemented
408#355C22×C2914yescomplemented
409C2×C29—21no—
410C2×C29—41no—
411C2×C29—41no—
412C2×C29—41no—
413C2×C29—81no—
414C2×C29—82no—
415C2×C29—82no—
416C2×C29C2×B(4,𝔽2)11yescharacteristic
4172−1+4—41no—
4182−1+4C23×C2912yes—
419H(5,𝔽2)—21no—
420H(5,𝔽2)—21no—
421H(5,𝔽2)—21no—
422H(5,𝔽2)—41no—
423C2×#41—21no—
424C2×#41—21no—
425C2×#41—21no—
426C2×#41—21no—
427C2×#41—42no—
428C2×#41D4×C2911yescharacteristic
429C2×#41C23×C2911yescharacteristic
430C22×Q8D4×C2911yescharacteristic
431C22×D4D4×C2911yescharacteristic
432#137—24no—
433#137—22no—
434#137—41no—
435#137—42no—
436AGL(1,ℤ/8)—24no—
437AGL(1,ℤ/8)—22no—
438AGL(1,ℤ/8)—41no—
439AGL(1,ℤ/8)—42no—
440#135—42no—
441C2×Q16—41no—
442C2×SD16—41no—
443C2×SD16—41no—
444C2×D8—41no—
445C2×M16—21no—
446C2×M16—21no—
447C2×M16—21no—
448C4⋊Q8C23×C2911yescharacteristic
449C4⋊Q8C23×C2912yes—
450#127D4×C2911yescharacteristic
451#127D4×C2912yes—
452#126—22no—
453#126—22no—
454#126—22no—
455#125—21no—
456#125—22no—
457#124—21no—
458#124—22no—
459#124D4×C2911yescharacteristic
460#124D4×C2912yes—
461#124C23×C2911yescharacteristic
462#124C23×C2912yes—
463#123—22no—
464#123—22no—
465#123—22no—
466#123—21no—
467#123—21no—
468#123—22no—
469C22⋊Q8—21no—
470C22⋊Q8—22no—
471C22⋊Q8—22no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474#121—22no—
475#121—22no—
476#121—21no—
477#121—22no—
478#121—22no—
479#121—21no—
480#121—21no—
481#121—22no—
482#121—22no—
483#121—21no—
484#121—21no—
485#120—22no—
486#120—21no—
487#120—21no—
488C4×Q8—21no—
489C4×D4—22no—
490C4×D4—21no—
491C4×D4—22no—
492C4×D4—21no—
493C4×D4—21no—
494C4×D4—22no—
495#117—22no—
496#117—22no—
497#117D4×C2911yescharacteristic
498#117D4×C2911yescharacteristic
499C2×C4⋊C4—21no—
500C2×C22⋊C4—22no—
501C2×C42D4×C2911yescharacteristic
502#104—22no—
503#104—22no—
504#104—24no—
505#104—24no—
506#101C23×C2912yes—
507#101C23×C2912yes—
508#101C23×C2912yes—
509#100—21no—
510#100—21no—
511#100—21no—
512C29#3357211yescharacteristic, direct product factor, Sylow
513C24—21no—
514#41—22no—
515#41—22no—
516#41—22no—
517#41—22no—
518#41—22no—
519#41—22no—
520#41—41no—
521#41—41no—
522#41—41no—
523#41—41no—
524#41—41no—
525#41—41no—
526#41—41no—
527#41—42no—
528#41—42no—
529#41—42no—
530#41—42no—
531#41—41no—
532#41—81no—
533#41—81no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—41no—
539C2×Q8—41no—
540C2×Q8—42no—
541C2×Q8C2×D4×C2911yescharacteristic
542C2×Q8C2×D4×C2912yes—
543C2×Q8C24×C2911yescharacteristic
544C2×D4—21no—
545C2×D4—21no—
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—41no—
556C2×D4—41no—
557C2×D4—42no—
558C2×D4—42no—
559C2×D4—42no—
560C2×D4—41no—
561C2×D4—41no—
562C2×D4—41no—
563C2×D4C2×D4×C2911yescharacteristic
564C2×D4C2×D4×C2912yes—
565C2×D4C2×D4×C2911yescharacteristic
566C2×D4C2×D4×C2911yescharacteristic
567C2×D4C2×D4×C2911yescharacteristic
568C22×C4—22no—
569C22×C4—22no—
570C22×C4—22no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—41no—
575C22×C4—41no—
576C22×C4—41no—
577C22×C4C2×D4×C2911yescharacteristic
578C22×C4C2×D4×C2911yescharacteristic
579C22×C4C2×D4×C2911yescharacteristic
580Q16—44no—
581Q16—42no—
582SD16—44no—
583SD16—42no—
584SD16—44no—
585SD16—42no—
586D8—44no—
587D8—42no—
588M16—22no—
589M16—22no—
590M16—22no—
591M16—41no—
592M16—41no—
593M16—41no—
594C2×C8—41no—
595C2×C8—41no—
596C2×C8—41no—
597C4⋊C4—22no—
598C4⋊C4—22no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—22no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—22no—
605C4⋊C4—22no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—22no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—21no—
622C22⋊C4—22no—
623C42—22no—
624C42—21no—
625C42C2×D4×C2911yescharacteristic
626C42C2×D4×C2911yescharacteristic
627C42C2×D4×C2912yes—
628C42C2×D4×C2912yes—
629C23—22no—
630C23—21no—
631C23—41no—
632C23—41no—
633C23—41no—
634C23—81no—
635C23—82no—
636C23C29×#12011yescharacteristic
637C23C29×#12011yescharacteristic
638C23C29×#12011yescharacteristic
639Q8—22no—
640Q8—22no—
641Q8—22no—
642Q8—41no—
643Q8—42no—
644Q8—41no—
645Q8—41no—
646Q8—41no—
647Q8—41no—
648D4—22no—
649D4—22no—
650D4—22no—
651D4—41no—
652D4—41no—
653D4—41no—
654D4—42no—
655D4—41no—
656D4—42no—
657D4—42no—
658D4—42no—
659D4—42no—
660D4—41no—
661D4—41no—
662D4—41no—
663D4—81no—
664D4—82no—
665D4—82no—
666D4—82no—
667D4—82no—
668D4—81no—
669D4—81no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—81no—
692C2×C4—82no—
693C2×C4—82no—
694C2×C4—81no—
695C2×C4—82no—
696C2×C4C29×#12011yescharacteristic
697C2×C4C22×D4×C2911yescharacteristic
698C2×C4C22×D4×C2911yescharacteristic
699C2×C4C22×D4×C2911yescharacteristic
700C8—42no—
701C8—42no—
702C8—42no—
703C22—21no—
704C22—21no—
705C22—21no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—42no—
711C22—41no—
712C22—42no—
713C22—42no—
714C22—41no—
715C22—42no—
716C22—161no—
717C22—161no—
718C22—161no—
719C22—162no—
720C22C2×C29×#12011yescharacteristic
721C4—21no—
722C4—21no—
723C4—21no—
724C4—41no—
725C4—42no—
726C4—42no—
727C4—41no—
728C4—41no—
729C4—42no—
730C4—42no—
731C4C29×B(4,𝔽2)11yescharacteristic
732C4C29×B(4,𝔽2)11yescharacteristic
733C2—21no—
734C2—41no—
735C2—41no—
736C2—41no—
737C2—82no—
738C2—81no—
739C2—82no—
740C2C2×C29×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC2×C29C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×Q8C24×C29
LCSG ▷ C2×Q8 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C29 ◁ C2×C4×C29 ◁ C2×#41×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#3551C2semidirect
2. C29×#3022C2semidirect
3. C29×#3021C2semidirect
4. C29×#3018C2semidirect
5. C29×#2204C2semidirect
6. C29×#2203C2semidirect
7. C29×#2135C2semidirect
8. C29×#2134C2semidirect
9. C29×#2132C2semidirect
14. C29×#563C22semidirect
16. C29×#555C22semidirect
29. C29×#456C22semidirect
30. C29×#456C22semidirect
34. C29×#454C22semidirect
43. C29×#356C22semidirect
44. C29×#356C22semidirect
45. C29×#355C22semidirect
46. C29×#355C22semidirect
258. #33572C29direct (N × H)
333. #3551C2×C29semidirect
334. #3022C2×C29semidirect
335. #3021C2×C29semidirect
336. #3018C2×C29semidirect
337. #2204C2×C29semidirect
338. #2203C2×C29semidirect
339. #2135C2×C29semidirect
340. #2134C2×C29semidirect
341. #2132C2×C29semidirect
376. #563C22×C29semidirect
378. #555C22×C29semidirect
391. #456C22×C29semidirect
392. #456C22×C29semidirect
396. #454C22×C29semidirect
405. #356C22×C29semidirect
406. #356C22×C29semidirect
407. #355C22×C29semidirect
408. #355C22×C29semidirect
512. C29#33572direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#35512
C29×#30222
C29×#30212
C29×#30182
C29×#22042
C29×#22032
C29×#21352
C29×#21342
C29×#21322
#3357229