Finite Group Databasebeta

← C29×#22322 #20317222

Subgroups — C29×#22322 #20317222

Order 7424.

652 conjugacy classes of subgroups.

The subgroup lattice has 606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#2396C211yesmaximal, characteristic
2C29×#1985C211yesmaximal, characteristic, complemented
3C29×#1984C211yesmaximal, characteristic, complemented
4C29×#1924C211yesmaximal, characteristic
5C29×#1924C211yesmaximal, characteristic
6C29×#1923C211yesmaximal, characteristic
7C29×#1923C211yesmaximal, characteristic
8C29×#1917C211yesmaximal, characteristic, complemented
9C29×#1917C211yesmaximal, characteristic, complemented
10C29×#1917C211yesmaximal, characteristic, complemented
11C29×#1916C211yesmaximal, characteristic, complemented
12C29×#1818C211yesmaximal, characteristic
13C29×#1771C211yesmaximal, characteristic, complemented
14C8×C4⋊C4×C29C211yesmaximal, characteristic, complemented
15C29×#1750C211yesmaximal, characteristic
16C2×C4×Q8×C29C2211yescharacteristic
17C2×C29×#117C2211yescharacteristic
18C2×C29×C4⋊C8C2211yescharacteristic
19C2×C29×C4⋊C8C2211yescharacteristic
20C2×C29×C4⋊C8C2211yescharacteristic
21C2×C29×C4⋊C8C2211yescharacteristic
22C2×C29×C22⋊C8C2211yescharacteristic
23C2×C29×C22⋊C8C2211yescharacteristic
24C2×C29×C22⋊C8C2211yescharacteristic
25C2×C29×C22⋊C8C2211yescharacteristic
26C2×C29×#97C2211yescharacteristic
27C2×C29×#97C2211yescharacteristic
28C2×C29×#97C2211yescharacteristic
29C2×C4×C8×C29C2211yescharacteristic
30C2×C4×C8×C29C2211yescharacteristic
31C2×C4×C8×C29C2211yescharacteristic
32C29×#400C411yescharacteristic
33C29×#399C411yescharacteristic
34C29×#398C411yescharacteristic
35C29×#398C411yescharacteristic
36C29×#396C411yescharacteristic
37C29×#396C411yescharacteristic
38C29×#395C411yescharacteristic
39C29×#393C411yescharacteristic
40C4×C4⋊C4×C29C2211yescharacteristic
41C4×C4⋊C4×C29C2211yescharacteristic
42C4×C4⋊C4×C29C2211yescharacteristic
43C4×C22⋊C4×C29C2211yescharacteristic
44C4×C22⋊C4×C29C2211yescharacteristic
45C29×#336C2211yescharacteristic
46C29×#336C2211yescharacteristic
47C29×#336C2211yescharacteristic
48C29×#336C2211yescharacteristic
49C29×#336C2211yescharacteristic
50C29×#336C2211yescharacteristic
51C29×#336C2211yescharacteristic
52C29×#336C2211yescharacteristic
53C29×#336C2211yescharacteristic
54C29×#336C2211yescharacteristic
55C29×#336C2211yescharacteristic
56C29×#336C2211yescharacteristic
57C29×#336C2211yescharacteristic
58C29×#336C2211yescharacteristic
59C22×Q8×C29C2×C411yescharacteristic
60C23×C4×C29C2311yescharacteristic
61C22×C8×C29C2311yescharacteristic
62C22×C8×C29C2311yescharacteristic
63C22×C8×C29C2311yescharacteristic
64C22×C8×C29C2311yescharacteristic
65C22×C8×C29C2311yescharacteristic
66C22×C8×C29C2311yescharacteristic
67C22×C8×C29C2311yescharacteristic
68C22×C8×C29C2311yescharacteristic
69C4×Q8×C29—41no—
70C4×Q8×C29—41no—
71C29×#117—41no—
72C29×#117—41no—
73C2×C4⋊C4×C29C2×C411yescharacteristic
74C2×C4⋊C4×C29C2×C411yescharacteristic
75C2×C4⋊C4×C29C2×C411yescharacteristic
76C2×C4⋊C4×C29C2×C411yescharacteristic
77C2×C4⋊C4×C29C2×C411yescharacteristic
78C2×C4⋊C4×C29C2×C411yescharacteristic
79C2×C4⋊C4×C29C2×C411yescharacteristic
80C2×C4⋊C4×C29C2×C411yescharacteristic
81C2×C4⋊C4×C29C2×C411yescharacteristic
82C2×C4⋊C4×C29C2×C411yescharacteristic
83C2×C4⋊C4×C29C2×C411yescharacteristic
84C2×C22⋊C4×C29C2×C411yescharacteristic
85C2×C22⋊C4×C29C2×C411yescharacteristic
86C2×C22⋊C4×C29C2×C411yescharacteristic
87C2×C22⋊C4×C29C2×C411yescharacteristic
88C2×C22⋊C4×C29C2×C411yescharacteristic
89C2×C22⋊C4×C29C2×C411yescharacteristic
90C2×C42×C29C2311yescharacteristic
91C2×C42×C29C2311yescharacteristic
92C2×C42×C29C2311yescharacteristic
93C2×C42×C29C2311yescharacteristic
94C2×C42×C29C2311yescharacteristic
95C2×C42×C29C2311yescharacteristic
96C29×C4⋊C8—22no—
97C29×C4⋊C8—22no—
98C29×C4⋊C8—41no—
99C29×C4⋊C8—41no—
100C29×C22⋊C8—22no—
101C29×C22⋊C8—22no—
102C29×C22⋊C8—41no—
103C29×C22⋊C8—41no—
104C29×#97—22no—
105C29×#97—41no—
106C29×#97—41no—
107C4×C8×C29—22no—
108C4×C8×C29—41no—
109C4×C8×C29—41no—
110C29×#95C2×C411yescharacteristic
111C29×#95C2×C411yescharacteristic
112C29×#95C2×C411yescharacteristic
113C29×#95C2×C411yescharacteristic
114C29×#95C2×C411yescharacteristic
115C29×#95C2×C411yescharacteristic
116C29×#95C2×C411yescharacteristic
117C29×#95C2×C411yescharacteristic
118C29×#95C2×C411yescharacteristic
119C29×#95C2×C411yescharacteristic
120C24×C29C22×C411yescharacteristic
121C2×Q8×C29—22no—
122C2×Q8×C29—41no—
123C2×Q8×C29—41no—
124C22×C4×C29—21no—
125C22×C4×C29—21no—
126C22×C4×C29—21no—
127C22×C4×C29—21no—
128C22×C4×C29—21no—
129C22×C4×C29—21no—
130C22×C4×C29C22×C411yescharacteristic
131C22×C4×C29C22×C411yescharacteristic
132C22×C4×C29C22×C411yescharacteristic
133C22×C4×C29C22×C411yescharacteristic
134C22×C4×C29C22×C411yescharacteristic
135C22×C4×C29C22×C411yescharacteristic
136C22×C4×C29C22×C411yescharacteristic
137C22×C4×C29C22×C411yescharacteristic
138C22×C4×C29C22×C411yescharacteristic
139C22×C4×C29C22×C411yescharacteristic
140C22×C4×C29C22×C411yescharacteristic
141C22×C4×C29C22×C411yescharacteristic
142C22×C4×C29C22×C411yescharacteristic
143C22×C4×C29C2411yescharacteristic
144C2×C8×C29—21no—
145C2×C8×C29—21no—
146C2×C8×C29—21no—
147C2×C8×C29—21no—
148C2×C8×C29—21no—
149C2×C8×C29—21no—
150C2×C8×C29—21no—
151C2×C8×C29—21no—
152C2×C8×C29—21no—
153C2×C8×C29—21no—
154C2×C8×C29—21no—
155C2×C8×C29—21no—
156C2×C8×C29—21no—
157C2×C8×C29—21no—
158C2×C8×C29—21no—
159C2×C8×C29—21no—
160C2×C8×C29—21no—
161C2×C8×C29—21no—
162C2×C8×C29—21no—
163C2×C8×C29—21no—
164C2×C8×C29—21no—
165C2×C8×C29—21no—
166C2×C8×C29#4112yes—
167C2×C8×C29#4112yes—
168C4⋊C4×C29—22no—
169C4⋊C4×C29—22no—
170C4⋊C4×C29—22no—
171C4⋊C4×C29—41no—
172C4⋊C4×C29—41no—
173C4⋊C4×C29—41no—
174C4⋊C4×C29—41no—
175C4⋊C4×C29—41no—
176C4⋊C4×C29—41no—
177C4⋊C4×C29—41no—
178C4⋊C4×C29—41no—
179C22⋊C4×C29—22no—
180C22⋊C4×C29—22no—
181C22⋊C4×C29—41no—
182C22⋊C4×C29—41no—
183C22⋊C4×C29—41no—
184C22⋊C4×C29—41no—
185C42×C29—21no—
186C42×C29—21no—
187C42×C29—21no—
188C42×C29—21no—
189C42×C29—21no—
190C42×C29—21no—
191C42×C29—21no—
192C42×C29—21no—
193C42×C29—21no—
194C42×C29—21no—
195C42×C29—21no—
196C42×C29—21no—
197#22322C2911yesmaximal, characteristic, direct product factor, Sylow
198C23×C29—21no—
199C23×C29—21no—
200C23×C29—21no—
201C23×C29—21no—
202C23×C29—21no—
203C23×C29—21no—
204C23×C29—21no—
205C23×C29C23×C411yescharacteristic
206Q8×C29—44no—
207C2×C4×C29—21no—
208C2×C4×C29—21no—
209C2×C4×C29—21no—
210C2×C4×C29—21no—
211C2×C4×C29—21no—
212C2×C4×C29—21no—
213C2×C4×C29—21no—
214C2×C4×C29—21no—
215C2×C4×C29—21no—
216C2×C4×C29—21no—
217C2×C4×C29—21no—
218C2×C4×C29—21no—
219C2×C4×C29—21no—
220C2×C4×C29—21no—
221C2×C4×C29—21no—
222C2×C4×C29—21no—
223C2×C4×C29—21no—
224C2×C4×C29—21no—
225C2×C4×C29—21no—
226C2×C4×C29—21no—
227C2×C4×C29—21no—
228C2×C4×C29—21no—
229C2×C4×C29—21no—
230C2×C4×C29—21no—
231C2×C4×C29—21no—
232C2×C4×C29—21no—
233C2×C4×C29—21no—
234C2×C4×C29—21no—
235C2×C4×C29—21no—
236C2×C4×C29—21no—
237C2×C4×C29—21no—
238C2×C4×C29—21no—
239C2×C4×C29—21no—
240C2×C4×C29—21no—
241C2×C4×C29—21no—
242C2×C4×C29—21no—
243C2×C4×C29—21no—
244C2×C4×C29—41no—
245C2×C4×C29—41no—
246C2×C4×C29—41no—
247C2×C4×C29—41no—
248C2×C4×C29#13112yes—
249C2×C4×C29#13112yes—
250C2×C4×C29C2×#4111yescharacteristic
251C2×C4×C29C2×#4111yescharacteristic
252C2×C4×C29H(5,𝔽2)11yescharacteristic
253C2×C4×C29H(5,𝔽2)11yescharacteristic
254C2×C4×C292−1+411yescharacteristic
255C2×C4×C292−1+411yescharacteristic
256C8×C29—22no—
257C8×C29—22no—
258C8×C29—41no—
259C8×C29—41no—
260C8×C29—41no—
261C8×C29—41no—
262C8×C29—41no—
263C8×C29—41no—
264#2396C2×C2911yescharacteristic
265#1985C2×C2911yescharacteristic, complemented
266#1984C2×C2911yescharacteristic, complemented
267#1924C2×C2911yescharacteristic
268#1924C2×C2911yescharacteristic
269#1923C2×C2911yescharacteristic
270#1923C2×C2911yescharacteristic
271#1917C2×C2911yescharacteristic, complemented
272#1917C2×C2911yescharacteristic, complemented
273#1917C2×C2911yescharacteristic, complemented
274#1916C2×C2911yescharacteristic, complemented
275#1818C2×C2911yescharacteristic
276#1771C2×C2911yescharacteristic, complemented
277C8×C4⋊C4C2×C2911yescharacteristic, complemented
278#1750C2×C2911yescharacteristic
279C22×C29—41no—
280C22×C29—41no—
281C22×C29—41no—
282C22×C29—41no—
283C22×C29—41no—
284C22×C29—41no—
285C22×C29—41no—
286C22×C29C4×#4111yescharacteristic
287C22×C29#51811yescharacteristic
288C22×C29#51911yescharacteristic
289C22×C29C2×#13111yescharacteristic
290C22×C29C2×#13111yescharacteristic
291C22×C29#56811yescharacteristic
292C22×C29#56811yescharacteristic
293C4×C29—22no—
294C4×C29—22no—
295C4×C29—41no—
296C4×C29—41no—
297C4×C29—41no—
298C4×C29—41no—
299C4×C29—41no—
300C4×C29—41no—
301C4×C29—41no—
302C4×C29—41no—
303C4×C29—41no—
304C4×C29—41no—
305C4×C29—41no—
306C4×C29#53911yescharacteristic
307C4×C29#53911yescharacteristic
308C4×C29#54211yescharacteristic
309C4×C29#54211yescharacteristic
310C2×C4×Q8C22×C2911yescharacteristic
311C2×#117C22×C2911yescharacteristic
312C2×C4⋊C8C22×C2911yescharacteristic
313C2×C4⋊C8C22×C2911yescharacteristic
314C2×C4⋊C8C22×C2911yescharacteristic
315C2×C4⋊C8C22×C2911yescharacteristic
316C2×C22⋊C8C22×C2911yescharacteristic
317C2×C22⋊C8C22×C2911yescharacteristic
318C2×C22⋊C8C22×C2911yescharacteristic
319C2×C22⋊C8C22×C2911yescharacteristic
320C2×#97C22×C2911yescharacteristic
321C2×#97C22×C2911yescharacteristic
322C2×#97C22×C2911yescharacteristic
323C2×C4×C8C22×C2911yescharacteristic
324C2×C4×C8C22×C2911yescharacteristic
325C2×C4×C8C22×C2911yescharacteristic
326#400C4×C2911yescharacteristic
327#399C4×C2911yescharacteristic
328#398C4×C2911yescharacteristic
329#398C4×C2911yescharacteristic
330#396C4×C2911yescharacteristic
331#396C4×C2911yescharacteristic
332#395C4×C2911yescharacteristic
333#393C4×C2911yescharacteristic
334C4×C4⋊C4C22×C2911yescharacteristic
335C4×C4⋊C4C22×C2911yescharacteristic
336C4×C4⋊C4C22×C2911yescharacteristic
337C4×C22⋊C4C22×C2911yescharacteristic
338C4×C22⋊C4C22×C2911yescharacteristic
339#336C22×C2911yescharacteristic
340#336C22×C2911yescharacteristic
341#336C22×C2911yescharacteristic
342#336C22×C2911yescharacteristic
343#336C22×C2911yescharacteristic
344#336C22×C2911yescharacteristic
345#336C22×C2911yescharacteristic
346#336C22×C2911yescharacteristic
347#336C22×C2911yescharacteristic
348#336C22×C2911yescharacteristic
349#336C22×C2911yescharacteristic
350#336C22×C2911yescharacteristic
351#336C22×C2911yescharacteristic
352#336C22×C2911yescharacteristic
353C2×C29—81no—
354C2×C29#233211yescharacteristic
355C2×C29#296611yescharacteristic
356C2×C29#296711yescharacteristic
357C2×C29#297611yescharacteristic
358C2×C29#298111yescharacteristic
359C2×C29#298511yescharacteristic
360C2×C29#298511yescharacteristic
361C22×Q8C2×C4×C2911yescharacteristic
362C23×C4C23×C2911yescharacteristic
363C22×C8C23×C2911yescharacteristic
364C22×C8C23×C2911yescharacteristic
365C22×C8C23×C2911yescharacteristic
366C22×C8C23×C2911yescharacteristic
367C22×C8C23×C2911yescharacteristic
368C22×C8C23×C2911yescharacteristic
369C22×C8C23×C2911yescharacteristic
370C22×C8C23×C2911yescharacteristic
371C4×Q8—41no—
372C4×Q8—41no—
373#117—41no—
374#117—41no—
375C2×C4⋊C4C2×C4×C2911yescharacteristic
376C2×C4⋊C4C2×C4×C2911yescharacteristic
377C2×C4⋊C4C2×C4×C2911yescharacteristic
378C2×C4⋊C4C2×C4×C2911yescharacteristic
379C2×C4⋊C4C2×C4×C2911yescharacteristic
380C2×C4⋊C4C2×C4×C2911yescharacteristic
381C2×C4⋊C4C2×C4×C2911yescharacteristic
382C2×C4⋊C4C2×C4×C2911yescharacteristic
383C2×C4⋊C4C2×C4×C2911yescharacteristic
384C2×C4⋊C4C2×C4×C2911yescharacteristic
385C2×C4⋊C4C2×C4×C2911yescharacteristic
386C2×C22⋊C4C2×C4×C2911yescharacteristic
387C2×C22⋊C4C2×C4×C2911yescharacteristic
388C2×C22⋊C4C2×C4×C2911yescharacteristic
389C2×C22⋊C4C2×C4×C2911yescharacteristic
390C2×C22⋊C4C2×C4×C2911yescharacteristic
391C2×C22⋊C4C2×C4×C2911yescharacteristic
392C2×C42C23×C2911yescharacteristic
393C2×C42C23×C2911yescharacteristic
394C2×C42C23×C2911yescharacteristic
395C2×C42C23×C2911yescharacteristic
396C2×C42C23×C2911yescharacteristic
397C2×C42C23×C2911yescharacteristic
398C4⋊C8—22no—
399C4⋊C8—22no—
400C4⋊C8—41no—
401C4⋊C8—41no—
402C22⋊C8—22no—
403C22⋊C8—22no—
404C22⋊C8—41no—
405C22⋊C8—41no—
406#97—22no—
407#97—41no—
408#97—41no—
409C4×C8—22no—
410C4×C8—41no—
411C4×C8—41no—
412#95C2×C4×C2911yescharacteristic
413#95C2×C4×C2911yescharacteristic
414#95C2×C4×C2911yescharacteristic
415#95C2×C4×C2911yescharacteristic
416#95C2×C4×C2911yescharacteristic
417#95C2×C4×C2911yescharacteristic
418#95C2×C4×C2911yescharacteristic
419#95C2×C4×C2911yescharacteristic
420#95C2×C4×C2911yescharacteristic
421#95C2×C4×C2911yescharacteristic
422C29#2232211yescharacteristic, direct product factor, Sylow
423C24C22×C4×C2911yescharacteristic
424C2×Q8—22no—
425C2×Q8—41no—
426C2×Q8—41no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4C22×C4×C2911yescharacteristic
434C22×C4C22×C4×C2911yescharacteristic
435C22×C4C22×C4×C2911yescharacteristic
436C22×C4C22×C4×C2911yescharacteristic
437C22×C4C22×C4×C2911yescharacteristic
438C22×C4C22×C4×C2911yescharacteristic
439C22×C4C22×C4×C2911yescharacteristic
440C22×C4C22×C4×C2911yescharacteristic
441C22×C4C22×C4×C2911yescharacteristic
442C22×C4C22×C4×C2911yescharacteristic
443C22×C4C22×C4×C2911yescharacteristic
444C22×C4C22×C4×C2911yescharacteristic
445C22×C4C22×C4×C2911yescharacteristic
446C22×C4C24×C2911yescharacteristic
447C2×C8—21no—
448C2×C8—21no—
449C2×C8—21no—
450C2×C8—21no—
451C2×C8—21no—
452C2×C8—21no—
453C2×C8—21no—
454C2×C8—21no—
455C2×C8—21no—
456C2×C8—21no—
457C2×C8—21no—
458C2×C8—21no—
459C2×C8—21no—
460C2×C8—21no—
461C2×C8—21no—
462C2×C8—21no—
463C2×C8—21no—
464C2×C8—21no—
465C2×C8—21no—
466C2×C8—21no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8#41×C2912yes—
470C2×C8#41×C2912yes—
471C4⋊C4—22no—
472C4⋊C4—22no—
473C4⋊C4—22no—
474C4⋊C4—41no—
475C4⋊C4—41no—
476C4⋊C4—41no—
477C4⋊C4—41no—
478C4⋊C4—41no—
479C4⋊C4—41no—
480C4⋊C4—41no—
481C4⋊C4—41no—
482C22⋊C4—22no—
483C22⋊C4—22no—
484C22⋊C4—41no—
485C22⋊C4—41no—
486C22⋊C4—41no—
487C22⋊C4—41no—
488C42—21no—
489C42—21no—
490C42—21no—
491C42—21no—
492C42—21no—
493C42—21no—
494C42—21no—
495C42—21no—
496C42—21no—
497C42—21no—
498C42—21no—
499C42—21no—
500C23—21no—
501C23—21no—
502C23—21no—
503C23—21no—
504C23—21no—
505C23—21no—
506C23—21no—
507C23C23×C4×C2911yescharacteristic
508Q8—44no—
509C2×C4—21no—
510C2×C4—21no—
511C2×C4—21no—
512C2×C4—21no—
513C2×C4—21no—
514C2×C4—21no—
515C2×C4—21no—
516C2×C4—21no—
517C2×C4—21no—
518C2×C4—21no—
519C2×C4—21no—
520C2×C4—21no—
521C2×C4—21no—
522C2×C4—21no—
523C2×C4—21no—
524C2×C4—21no—
525C2×C4—21no—
526C2×C4—21no—
527C2×C4—21no—
528C2×C4—21no—
529C2×C4—21no—
530C2×C4—21no—
531C2×C4—21no—
532C2×C4—21no—
533C2×C4—21no—
534C2×C4—21no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—41no—
547C2×C4—41no—
548C2×C4—41no—
549C2×C4—41no—
550C2×C4C29×#13112yes—
551C2×C4C29×#13112yes—
552C2×C4C2×#41×C2911yescharacteristic
553C2×C4C2×#41×C2911yescharacteristic
554C2×C4C29×H(5,𝔽2)11yescharacteristic
555C2×C4C29×H(5,𝔽2)11yescharacteristic
556C2×C4C29×2−1+411yescharacteristic
557C2×C4C29×2−1+411yescharacteristic
558C8—22no—
559C8—22no—
560C8—41no—
561C8—41no—
562C8—41no—
563C8—41no—
564C8—41no—
565C8—41no—
566C22—41no—
567C22—41no—
568C22—41no—
569C22—41no—
570C22—41no—
571C22—41no—
572C22—41no—
573C22C4×#41×C2911yescharacteristic
574C22C29×#51811yescharacteristic
575C22C29×#51911yescharacteristic
576C22C2×C29×#13111yescharacteristic
577C22C2×C29×#13111yescharacteristic
578C22C29×#56811yescharacteristic
579C22C29×#56811yescharacteristic
580C4—22no—
581C4—22no—
582C4—41no—
583C4—41no—
584C4—41no—
585C4—41no—
586C4—41no—
587C4—41no—
588C4—41no—
589C4—41no—
590C4—41no—
591C4—41no—
592C4—41no—
593C4C29×#53911yescharacteristic
594C4C29×#53911yescharacteristic
595C4C29×#54211yescharacteristic
596C4C29×#54211yescharacteristic
597C2—81no—
598C2C29×#233211yescharacteristic
599C2C29×#296611yescharacteristic
600C2C29×#296711yescharacteristic
601C2C29×#297611yescharacteristic
602C2C29×#298111yescharacteristic
603C2C29×#298511yescharacteristic
604C2C29×#298511yescharacteristic
subgroupG/H
centerC22×C4×C29C24
commutatorC23C23×C4×C29
Frattini, cosocleC22×C4C24×C29
socleC23×C29C23×C4
prime radicalC24×C29C22×C4
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C29 ◁ G

Complements

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

NH ≅ G/Ntype
2. C29×#1985C2semidirect
3. C29×#1984C2semidirect
8. C29×#1917C2semidirect
9. C29×#1917C2semidirect
10. C29×#1917C2semidirect
11. C29×#1916C2semidirect
13. C29×#1771C2semidirect
14. C8×C4⋊C4×C29C2semidirect
197. #22322C29direct (N × H)
265. #1985C2×C29semidirect
266. #1984C2×C29semidirect
271. #1917C2×C29semidirect
272. #1917C2×C29semidirect
273. #1917C2×C29semidirect
274. #1916C2×C29semidirect
276. #1771C2×C29semidirect
277. C8×C4⋊C4C2×C29semidirect
422. C29#22322direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#23962
C29×#19852
C29×#19842
C29×#19242
C29×#19232
C29×#19172
C29×#19162
C29×#18182
C29×#17712
C8×C4⋊C4×C292
C29×#17502
#2232229