Finite Group Databasebeta

← C29×#25298 #20320198

Subgroups — C29×#25298 #20320198

Order 7424.

828 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C29×#463C211yesmaximal, characteristic
2C2×C29×#446C211yesmaximal, characteristic, complemented
3C29×#2592C211yesmaximal, characteristic, complemented
4C29×#2580C211yesmaximal, characteristic, complemented
5C29×#2067C211yesmaximal, characteristic, complemented
6C29×#2066C211yesmaximal, characteristic, complemented
7C29×#2055C211yesmaximal, characteristic, complemented
8C29×#2054C211yesmaximal, characteristic
9C29×#1973C211yesmaximal, characteristic, complemented
10C29×#1972C211yesmaximal, characteristic
11C29×#1958C211yesmaximal, characteristic, complemented
12C29×#1949C211yesmaximal, characteristic, complemented
13C29×#1936C211yesmaximal, characteristic, complemented
14C29×#1935C211yesmaximal, characteristic, complemented
15C4×C29×#102C211yesmaximal, characteristic, complemented
16C22×SD16×C29C2211yescharacteristic
17C22×D8×C29C2211yescharacteristic
18C2×C29×#124C2211yescharacteristic
19C2×C4×Q8×C29C2211yescharacteristic
20C2×C4×D4×C29C2211yescharacteristic
21C29×#463—24no—
22C29×#446—24no—
23C2×C29×#107C2211yescharacteristic
24C2×C29×#106C2211yescharacteristic
25C2×C29×C4⋊C8C2211yescharacteristic
26C2×C29×C4⋊C8C2211yescharacteristic
27C2×C29×C4⋊C8C2211yescharacteristic
28C2×C29×#103C2211yescharacteristic
29C2×C29×#103C2211yescharacteristic
30C2×C29×#103C2211yescharacteristic
31C2×C29×#102C2211yescharacteristic
32C2×C29×#102C2211yescharacteristic
33C2×C29×#102C2211yescharacteristic
34C2×C29×#102C2211yescharacteristic
35C2×C29×#102C2211yescharacteristic
36C2×C29×#97C2211yescharacteristic
37C2×C29×#97C2211yescharacteristic
38C2×C4×C8×C29C2211yescharacteristic
39C29×#399—21no—
40C29×#397—21no—
41C29×#393—21no—
42C29×#393—21no—
43C29×#391C2211yescharacteristic
44C29×#391C2211yescharacteristic
45C29×#390C2211yescharacteristic
46C29×#390C2211yescharacteristic
47C29×#390C2211yescharacteristic
48C29×#390C2211yescharacteristic
49C29×#389C2211yescharacteristic
50C29×#389C2211yescharacteristic
51C29×#388—21no—
52C29×#388—21no—
53C29×#385—21no—
54C29×#385—21no—
55C29×#382C2211yescharacteristic
56C4×C4⋊C4×C29C2211yescharacteristic
57C29×#340C2211yescharacteristic
58C29×#340C2211yescharacteristic
59C29×#340C2211yescharacteristic
60C29×#340C2211yescharacteristic
61C22×Q8×C29D411yescharacteristic
62C22×Q8×C29C2311yescharacteristic
63C22×D4×C29C2311yescharacteristic
64C22×D4×C29C2311yescharacteristic
65C23×C4×C29—21no—
66C2×SD16×C29—22no—
67C2×SD16×C29—22no—
68C2×SD16×C29—41no—
69C2×D8×C29—22no—
70C2×D8×C29—22no—
71C2×D8×C29—41no—
72C22×C8×C29C2311yescharacteristic
73C22×C8×C29C2311yescharacteristic
74C22×C8×C29C2311yescharacteristic
75C22×C8×C29C2311yescharacteristic
76C29×#124—22no—
77C29×#124—22no—
78C4×Q8×C29—22no—
79C4×Q8×C29—22no—
80C4×D4×C29—22no—
81C4×D4×C29—22no—
82C2×C4⋊C4×C29—21no—
83C2×C4⋊C4×C29—21no—
84C2×C4⋊C4×C29D411yescharacteristic
85C2×C4⋊C4×C29D411yescharacteristic
86C2×C4⋊C4×C29D411yescharacteristic
87C2×C4⋊C4×C29C2311yescharacteristic
88C2×C4⋊C4×C29C2311yescharacteristic
89C2×C4⋊C4×C29C2311yescharacteristic
90C2×C4⋊C4×C29C2311yescharacteristic
91C2×C4⋊C4×C29C2311yescharacteristic
92C2×C22⋊C4×C29—21no—
93C2×C22⋊C4×C29—21no—
94C2×C22⋊C4×C29—21no—
95C2×C22⋊C4×C29—21no—
96C2×C22⋊C4×C29—21no—
97C2×C22⋊C4×C29—21no—
98C2×C22⋊C4×C29—21no—
99C2×C22⋊C4×C29—21no—
100C2×C22⋊C4×C29—21no—
101C2×C22⋊C4×C29—21no—
102C2×C22⋊C4×C29—21no—
103C2×C42×C29—21no—
104C2×C42×C29C2311yescharacteristic
105C2×C42×C29C2311yescharacteristic
106C2×C42×C29C2311yescharacteristic
107C29×#107—41no—
108C29×#106—41no—
109C29×C4⋊C8—22no—
110C29×C4⋊C8—22no—
111C29×C4⋊C8D414yes—
112C29×#103—22no—
113C29×#103—22no—
114C29×#103—41no—
115C29×#102—22no—
116C29×#102—22no—
117C29×#102—22no—
118C29×#102—22no—
119C29×#102—41no—
120C29×#97—22no—
121C29×#97—22no—
122C4×C8×C29—22no—
123C29×#95—21no—
124C29×#95—21no—
125C29×#95—21no—
126C29×#95—21no—
127C29×#95—21no—
128C29×#95—21no—
129C29×#95—21no—
130C29×#95—21no—
131C29×#95—21no—
132C24×C29—21no—
133C24×C29—21no—
134C2×Q8×C29—22no—
135C2×Q8×C29—21no—
136C2×Q8×C29—21no—
137C2×Q8×C29—21no—
138C2×Q8×C29—21no—
139C2×Q8×C29—21no—
140C2×Q8×C29—21no—
141C2×Q8×C29—41no—
142C2×Q8×C29—41no—
143C2×D4×C29—21no—
144C2×D4×C29—21no—
145C2×D4×C29—21no—
146C2×D4×C29—21no—
147C2×D4×C29—21no—
148C2×D4×C29—21no—
149C2×D4×C29—21no—
150C2×D4×C29—21no—
151C2×D4×C29—21no—
152C2×D4×C29—21no—
153C2×D4×C29—21no—
154C2×D4×C29#4112yes—
155C22×C4×C29—21no—
156C22×C4×C29—21no—
157C22×C4×C29—21no—
158C22×C4×C29—21no—
159C22×C4×C29—21no—
160C22×C4×C29—21no—
161C22×C4×C29—42no—
162C22×C4×C29—81no—
163C22×C4×C29—81no—
164C22×C4×C29C2×D411yescharacteristic
165C22×C4×C29C2×D411yescharacteristic
166C22×C4×C29C2×D411yescharacteristic
167C22×C4×C29C2×D411yescharacteristic
168C22×C4×C29C2×D411yescharacteristic
169C22×C4×C29C2×D411yescharacteristic
170C22×C4×C29C2411yescharacteristic
171SD16×C29—44no—
172D8×C29—44no—
173C2×C8×C29—21no—
174C2×C8×C29—21no—
175C2×C8×C29—21no—
176C2×C8×C29—21no—
177C2×C8×C29—21no—
178C2×C8×C29—21no—
179C2×C8×C29—21no—
180C2×C8×C29—21no—
181C2×C8×C29—21no—
182C2×C8×C29C2×D412yes—
183C2×C8×C29C2×D412yes—
184C2×C8×C29#4112yes—
185C4⋊C4×C29—22no—
186C4⋊C4×C29—22no—
187C4⋊C4×C29—22no—
188C4⋊C4×C29—21no—
189C4⋊C4×C29—21no—
190C4⋊C4×C29—21no—
191C4⋊C4×C29—21no—
192C4⋊C4×C29—21no—
193C4⋊C4×C29—21no—
194C4⋊C4×C29—21no—
195C4⋊C4×C29—21no—
196C4⋊C4×C29—21no—
197C4⋊C4×C29—21no—
198C4⋊C4×C29—81no—
199C4⋊C4×C29—81no—
200C22⋊C4×C29—42no—
201C22⋊C4×C29—42no—
202C22⋊C4×C29—42no—
203C22⋊C4×C29—42no—
204C22⋊C4×C29—42no—
205C22⋊C4×C29—42no—
206C22⋊C4×C29—42no—
207C22⋊C4×C29—81no—
208C22⋊C4×C29—81no—
209C22⋊C4×C29—81no—
210C22⋊C4×C29—81no—
211C42×C29—21no—
212C42×C29—21no—
213C42×C29—21no—
214C42×C29—21no—
215C42×C29—81no—
216C42×C29C2×D412yes—
217C42×C29#4112yes—
218#25298C2911yesmaximal, characteristic, direct product factor, Sylow
219C23×C29—22no—
220C23×C29—41no—
221C23×C29—41no—
222C23×C29—41no—
223C23×C29—41no—
224C23×C29—41no—
225C23×C29—41no—
226C23×C29—41no—
227C23×C29—41no—
228C23×C29—41no—
229C23×C29—41no—
230C23×C29—41no—
231C23×C29—41no—
232C23×C29—41no—
233C23×C29C22×D411yescharacteristic
234Q8×C29—44no—
235Q8×C29—41no—
236Q8×C29—41no—
237Q8×C29—41no—
238Q8×C29—41no—
239D4×C29—22no—
240D4×C29—22no—
241D4×C29—41no—
242D4×C29—41no—
243D4×C29—41no—
244D4×C29—41no—
245D4×C29—41no—
246D4×C29—41no—
247C2×C4×C29—21no—
248C2×C4×C29—21no—
249C2×C4×C29—21no—
250C2×C4×C29—21no—
251C2×C4×C29—21no—
252C2×C4×C29—21no—
253C2×C4×C29—21no—
254C2×C4×C29—21no—
255C2×C4×C29—21no—
256C2×C4×C29—21no—
257C2×C4×C29—21no—
258C2×C4×C29—21no—
259C2×C4×C29—21no—
260C2×C4×C29—21no—
261C2×C4×C29—21no—
262C2×C4×C29—21no—
263C2×C4×C29—41no—
264C2×C4×C29—41no—
265C2×C4×C29—41no—
266C2×C4×C29—41no—
267C2×C4×C29—41no—
268C2×C4×C29—41no—
269C2×C4×C29—41no—
270C2×C4×C29—41no—
271C2×C4×C29—41no—
272C2×C4×C29—41no—
273C2×C4×C29—41no—
274C2×C4×C29—41no—
275C2×C4×C29—41no—
276C2×C4×C29—41no—
277C2×C4×C29—41no—
278C2×C4×C29—41no—
279C2×C4×C29—41no—
280C2×C4×C29—41no—
281C2×C4×C29—84no—
282C2×C4×C29#12112yes—
283C2×C4×C29#12112yes—
284C2×C4×C29C22×D411yescharacteristic
285C2×C4×C29C2×#4111yescharacteristic
286C2×C4×C29C2×#4111yescharacteristic
287C2×C4×C29C2×#4111yescharacteristic
288C2×C4×C29H(5,𝔽2)11yescharacteristic
289C2×C4×C292−1+411yescharacteristic
290C8×C29—22no—
291C8×C29—22no—
292C8×C29—22no—
293C8×C29—41no—
294C2×#463C2×C2911yescharacteristic
295C2×#446C2×C2911yescharacteristic, complemented
296#2592C2×C2911yescharacteristic, complemented
297#2580C2×C2911yescharacteristic, complemented
298#2067C2×C2911yescharacteristic, complemented
299#2066C2×C2911yescharacteristic, complemented
300#2055C2×C2911yescharacteristic, complemented
301#2054C2×C2911yescharacteristic
302#1973C2×C2911yescharacteristic, complemented
303#1972C2×C2911yescharacteristic
304#1958C2×C2911yescharacteristic, complemented
305#1949C2×C2911yescharacteristic, complemented
306#1936C2×C2911yescharacteristic, complemented
307#1935C2×C2911yescharacteristic, complemented
308C4×#102C2×C2911yescharacteristic, complemented
309C22×C29—42no—
310C22×C29—42no—
311C22×C29—42no—
312C22×C29—81no—
313C22×C29—81no—
314C22×C29—81no—
315C22×C29—81no—
316C22×C29—81no—
317C22×C29—81no—
318C22×C29—81no—
319C22×C29—81no—
320C22×C29—81no—
321C22×C29—81no—
322C22×C29—81no—
323C22×C29C2×#12111yescharacteristic
324C22×C29#54811yescharacteristic
325C22×C29#55011yescharacteristic
326C22×C29#57511yescharacteristic
327C22×C29#57511yescharacteristic
328C22×C29#57611yescharacteristic
329C22×C29#57711yescharacteristic
330C4×C29—22no—
331C4×C29—22no—
332C4×C29—41no—
333C4×C29—41no—
334C4×C29—41no—
335C4×C29—41no—
336C4×C29—81no—
337C4×C29—81no—
338C4×C29—81no—
339C4×C29—81no—
340C4×C29—81no—
341C4×C29—81no—
342C4×C29#52911yescharacteristic
343C4×C29#54211yescharacteristic
344C4×C29#54611yescharacteristic
345C4×C29#54811yescharacteristic
346C22×SD16C22×C2911yescharacteristic
347C22×D8C22×C2911yescharacteristic
348C2×#124C22×C2911yescharacteristic
349C2×C4×Q8C22×C2911yescharacteristic
350C2×C4×D4C22×C2911yescharacteristic
351#463—24no—
352#446—24no—
353C2×#107C22×C2911yescharacteristic
354C2×#106C22×C2911yescharacteristic
355C2×C4⋊C8C22×C2911yescharacteristic
356C2×C4⋊C8C22×C2911yescharacteristic
357C2×C4⋊C8C22×C2911yescharacteristic
358C2×#103C22×C2911yescharacteristic
359C2×#103C22×C2911yescharacteristic
360C2×#103C22×C2911yescharacteristic
361C2×#102C22×C2911yescharacteristic
362C2×#102C22×C2911yescharacteristic
363C2×#102C22×C2911yescharacteristic
364C2×#102C22×C2911yescharacteristic
365C2×#102C22×C2911yescharacteristic
366C2×#97C22×C2911yescharacteristic
367C2×#97C22×C2911yescharacteristic
368C2×C4×C8C22×C2911yescharacteristic
369#399—21no—
370#397—21no—
371#393—21no—
372#393—21no—
373#391C22×C2911yescharacteristic
374#391C22×C2911yescharacteristic
375#390C22×C2911yescharacteristic
376#390C22×C2911yescharacteristic
377#390C22×C2911yescharacteristic
378#390C22×C2911yescharacteristic
379#389C22×C2911yescharacteristic
380#389C22×C2911yescharacteristic
381#388—21no—
382#388—21no—
383#385—21no—
384#385—21no—
385#382C22×C2911yescharacteristic
386C4×C4⋊C4C22×C2911yescharacteristic
387#340C22×C2911yescharacteristic
388#340C22×C2911yescharacteristic
389#340C22×C2911yescharacteristic
390#340C22×C2911yescharacteristic
391C2×C29—82no—
392C2×C29—161no—
393C2×C29#242611yescharacteristic
394C2×C29#305411yescharacteristic
395C2×C29#306211yescharacteristic
396C2×C29#337011yescharacteristic
397C2×C29#337611yescharacteristic
398C2×C29#340111yescharacteristic
399C2×C29#340311yescharacteristic
400C22×Q8D4×C2911yescharacteristic
401C22×Q8C23×C2911yescharacteristic
402C22×D4C23×C2911yescharacteristic
403C22×D4C23×C2911yescharacteristic
404C23×C4—21no—
405C2×SD16—22no—
406C2×SD16—22no—
407C2×SD16—41no—
408C2×D8—22no—
409C2×D8—22no—
410C2×D8—41no—
411C22×C8C23×C2911yescharacteristic
412C22×C8C23×C2911yescharacteristic
413C22×C8C23×C2911yescharacteristic
414C22×C8C23×C2911yescharacteristic
415#124—22no—
416#124—22no—
417C4×Q8—22no—
418C4×Q8—22no—
419C4×D4—22no—
420C4×D4—22no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4D4×C2911yescharacteristic
424C2×C4⋊C4D4×C2911yescharacteristic
425C2×C4⋊C4D4×C2911yescharacteristic
426C2×C4⋊C4C23×C2911yescharacteristic
427C2×C4⋊C4C23×C2911yescharacteristic
428C2×C4⋊C4C23×C2911yescharacteristic
429C2×C4⋊C4C23×C2911yescharacteristic
430C2×C4⋊C4C23×C2911yescharacteristic
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C42—21no—
443C2×C42C23×C2911yescharacteristic
444C2×C42C23×C2911yescharacteristic
445C2×C42C23×C2911yescharacteristic
446#107—41no—
447#106—41no—
448C4⋊C8—22no—
449C4⋊C8—22no—
450C4⋊C8D4×C2914yes—
451#103—22no—
452#103—22no—
453#103—41no—
454#102—22no—
455#102—22no—
456#102—22no—
457#102—22no—
458#102—41no—
459#97—22no—
460#97—22no—
461C4×C8—22no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471C29#2529811yescharacteristic, direct product factor, Sylow
472C24—21no—
473C24—21no—
474C2×Q8—22no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—41no—
482C2×Q8—41no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4#41×C2912yes—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—42no—
502C22×C4—81no—
503C22×C4—81no—
504C22×C4C2×D4×C2911yescharacteristic
505C22×C4C2×D4×C2911yescharacteristic
506C22×C4C2×D4×C2911yescharacteristic
507C22×C4C2×D4×C2911yescharacteristic
508C22×C4C2×D4×C2911yescharacteristic
509C22×C4C2×D4×C2911yescharacteristic
510C22×C4C24×C2911yescharacteristic
511SD16—44no—
512D8—44no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8C2×D4×C2912yes—
523C2×C8C2×D4×C2912yes—
524C2×C8#41×C2912yes—
525C4⋊C4—22no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—81no—
539C4⋊C4—81no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—81no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—21no—
555C42—81no—
556C42C2×D4×C2912yes—
557C42#41×C2912yes—
558C23—22no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23C22×D4×C2911yescharacteristic
573Q8—44no—
574Q8—41no—
575Q8—41no—
576Q8—41no—
577Q8—41no—
578D4—22no—
579D4—22no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—41no—
585D4—41no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—84no—
621C2×C4C29×#12112yes—
622C2×C4C29×#12112yes—
623C2×C4C22×D4×C2911yescharacteristic
624C2×C4C2×#41×C2911yescharacteristic
625C2×C4C2×#41×C2911yescharacteristic
626C2×C4C2×#41×C2911yescharacteristic
627C2×C4C29×H(5,𝔽2)11yescharacteristic
628C2×C4C29×2−1+411yescharacteristic
629C8—22no—
630C8—22no—
631C8—22no—
632C8—41no—
633C22—42no—
634C22—42no—
635C22—42no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22C2×C29×#12111yescharacteristic
648C22C29×#54811yescharacteristic
649C22C29×#55011yescharacteristic
650C22C29×#57511yescharacteristic
651C22C29×#57511yescharacteristic
652C22C29×#57611yescharacteristic
653C22C29×#57711yescharacteristic
654C4—22no—
655C4—22no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—41no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4C29×#52911yescharacteristic
667C4C29×#54211yescharacteristic
668C4C29×#54611yescharacteristic
669C4C29×#54811yescharacteristic
670C2—82no—
671C2—161no—
672C2C29×#242611yescharacteristic
673C2C29×#305411yescharacteristic
674C2C29×#306211yescharacteristic
675C2C29×#337011yescharacteristic
676C2C29×#337611yescharacteristic
677C2C29×#340111yescharacteristic
678C2C29×#340311yescharacteristic
subgroupG/H
center, socleC23×C29C22×D4
commutator, Frattini, cosocleC22×C4C24×C29
prime radicalC22×D8×C29C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C29 ◁ C2×C4×Q8×C29 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C29×#446C2semidirect
3. C29×#2592C2semidirect
4. C29×#2580C2semidirect
5. C29×#2067C2semidirect
6. C29×#2066C2semidirect
7. C29×#2055C2semidirect
9. C29×#1973C2semidirect
11. C29×#1958C2semidirect
12. C29×#1949C2semidirect
13. C29×#1936C2semidirect
14. C29×#1935C2semidirect
15. C4×C29×#102C2semidirect
218. #25298C29direct (N × H)
295. C2×#446C2×C29semidirect
296. #2592C2×C29semidirect
297. #2580C2×C29semidirect
298. #2067C2×C29semidirect
299. #2066C2×C29semidirect
300. #2055C2×C29semidirect
302. #1973C2×C29semidirect
304. #1958C2×C29semidirect
305. #1949C2×C29semidirect
306. #1936C2×C29semidirect
307. #1935C2×C29semidirect
308. C4×#102C2×C29semidirect
471. C29#25298direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C29×#4632
C2×C29×#4462
C29×#25922
C29×#25802
C29×#20672
C29×#20662
C29×#20552
C29×#20542
C29×#19732
C29×#19722
C29×#19582
C29×#19492
C29×#19362
C29×#19352
C4×C29×#1022
#2529829