Finite Group Databasebeta

← C29×#60301 #20355201

Subgroups — C29×#60301 #20355201

Order 7424.

1760 conjugacy classes of subgroups.

The subgroup lattice has 610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3480C211yesmaximal, characteristic
2C29×#2994C213yesmaximal, complemented
3C29×#2993C213yesmaximal, complemented
4C29×#2991C211yesmaximal, characteristic, complemented
5C29×#2988C211yesmaximal, characteristic, complemented
6C29×#2984C211yesmaximal, characteristic, complemented
7C29×#2982C211yesmaximal, characteristic, complemented
8C29×#2981C213yesmaximal, complemented
9C29×#2979C213yesmaximal, complemented
10C29×#2971C211yesmaximal, characteristic, complemented
11C29×#2969C213yesmaximal, complemented
12C29×#2966C213yesmaximal, complemented
13C8×#41×C29C211yesmaximal, characteristic, complemented
14C29×#2925C213yesmaximal, complemented
15C29×#2922C213yesmaximal, complemented
16C29×#559C413yes—
17C29×#557C411yescharacteristic
18C29×#556C413yes—
19C29×#553C413yes—
20C29×#553C413yes—
21C29×#550C411yescharacteristic
22C29×#548C411yescharacteristic
23C29×#548C411yescharacteristic
24C29×#532C2213yes—
25C29×#529C2213yes—
26C29×#529C2213yes—
27C4×#41×C29C2211yescharacteristic
28C4×#41×C29C2211yescharacteristic
29C4×#41×C29C2213yes—
30C2×C4×Q8×C29C2211yescharacteristic
31C29×#446C2213yes—
32C29×#446C2213yes—
33C8×Q8×C29C2211yescharacteristic
34C8×Q8×C29C2211yescharacteristic
35C8×Q8×C29C2213yes—
36C8×Q8×C29C2213yes—
37C8×Q8×C29C2211yescharacteristic
38C8×Q8×C29C2211yescharacteristic
39C29×#436C2213yes—
40C29×#436C2216yes—
41C29×#436C2213yes—
42C29×#436C2213yes—
43C29×#436C2213yes—
44C29×#435C2216yes—
45C29×#435C2216yes—
46C8×D4×C29C2213yes—
47C8×D4×C29C2213yes—
48C8×D4×C29C2216yes—
49C8×D4×C29C2213yes—
50C8×D4×C29C2213yes—
51C29×#433C2213yes—
52C29×#433C2213yes—
53C29×#433C2216yes—
54C29×#433C2211yescharacteristic
55C29×#433C2213yes—
56C29×#432C2213yes—
57C29×#432C2213yes—
58C29×#431C2213yes—
59C29×#431C2213yes—
60C29×#431C2213yes—
61C29×#431C2213yes—
62C29×#431C2213yes—
63C29×#431C2213yes—
64C29×#424C2213yes—
65C29×#424C2213yes—
66C29×#423C2213yes—
67C2×C29×C4⋊C8C2213yes—
68C29×#408C2213yes—
69C29×#408C2216yes—
70C29×#408C2213yes—
71C29×#405C2216yes—
72C4×M16×C29C2213yes—
73C2×C4×C8×C29C2213yes—
74C2×#41×C29C2×C411yescharacteristic
75C2×#41×C29C2×C411yescharacteristic
76C2×#41×C29C2313yes—
77C22×Q8×C29C2×C411yescharacteristic
78C2×M16×C29C2313yes—
79C2×M16×C29C2316yes—
80C2×M16×C29C2313yes—
81C22×C8×C29C2313yes—
82C22×C8×C29C2316yes—
83C22×C8×C29C2313yes—
84C29×C4⋊Q8C2×C413yes—
85C29×#127C2×C413yes—
86C29×#126C2×C416yes—
87C29×#126C2×C416yes—
88C29×#125C2×C413yes—
89C29×#125C2×C413yes—
90C29×#124C2×C413yes—
91C29×#124C2×C413yes—
92C29×#124C2×C416yes—
93C29×#123C2×C416yes—
94C29×#123C2×C416yes—
95C29×C22⋊Q8C2×C413yes—
96C29×C22⋊Q8C2×C413yes—
97C29×#121C2×C413yes—
98C29×#121C2×C413yes—
99C29×#121C2×C413yes—
100C29×#121C2×C413yes—
101C29×#121C2×C416yes—
102C4×Q8×C29C2×C411yescharacteristic
103C4×Q8×C29C2×C413yes—
104C4×Q8×C29C2×C411yescharacteristic
105C4×Q8×C29C2×C411yescharacteristic
106C4×Q8×C29C2×C413yes—
107C4×Q8×C29C2×C413yes—
108C4×Q8×C29C2311yescharacteristic
109C4×Q8×C29C2313yes—
110C4×D4×C29C2×C413yes—
111C4×D4×C29C2×C413yes—
112C4×D4×C29C2×C413yes—
113C4×D4×C29C2×C413yes—
114C4×D4×C29C2×C413yes—
115C4×D4×C29C2×C413yes—
116C4×D4×C29C2×C413yes—
117C4×D4×C29C2×C413yes—
118C4×D4×C29C2313yes—
119C4×D4×C29C2313yes—
120C4×D4×C29C2316yes—
121C29×#117C2×C413yes—
122C29×#117C2×C413yes—
123C29×#117C2311yescharacteristic
124C29×#117C2313yes—
125C29×#117C2313yes—
126C2×C4⋊C4×C29C2×C413yes—
127C2×C42×C29C2313yes—
128C2×C42×C29C2313yes—
129C2×C42×C29C2313yes—
130C29×C4⋊C8C2311yescharacteristic
131C29×C4⋊C8C2311yescharacteristic
132C29×C4⋊C8C2313yes—
133C29×C4⋊C8C2313yes—
134C29×C4⋊C8C2313yes—
135C29×C4⋊C8C2313yes—
136C29×C4⋊C8C2313yes—
137C29×C4⋊C8C2313yes—
138C29×C4⋊C8C2313yes—
139C29×C4⋊C8C2313yes—
140C29×C4⋊C8C2313yes—
141C29×C4⋊C8C2313yes—
142C29×C22⋊C8C2313yes—
143C29×C22⋊C8C2311yescharacteristic
144C29×C22⋊C8C2311yescharacteristic
145C29×C22⋊C8C2313yes—
146C29×C22⋊C8C2313yes—
147C29×C22⋊C8C2316yes—
148C29×C22⋊C8C2313yes—
149C29×C22⋊C8C2313yes—
150C29×C22⋊C8C2313yes—
151C29×C22⋊C8C2316yes—
152C29×#97C2313yes—
153C29×#97C2316yes—
154C29×#97C2311yescharacteristic
155C4×C8×C29C2313yes—
156C4×C8×C29C2313yes—
157C4×C8×C29C2313yes—
158C4×C8×C29C2313yes—
159C4×C8×C29C2313yes—
160C4×C8×C29C2316yes—
161C4×C8×C29C2311yescharacteristic
162#41×C29—24no—
163#41×C29—24no—
164#41×C29—43no—
165#41×C29—43no—
166C2×Q8×C29—24no—
167C2×Q8×C29C22×C413yes—
168C2×Q8×C29C22×C413yes—
169C2×Q8×C29C22×C411yescharacteristic
170C2×D4×C29C22×C413yes—
171C2×D4×C29C22×C413yes—
172C2×D4×C29C22×C413yes—
173C2×D4×C29C22×C413yes—
174C2×D4×C29C22×C413yes—
175C2×D4×C29C22×C416yes—
176C22×C4×C29C22×C413yes—
177C22×C4×C29C22×C413yes—
178C22×C4×C29C22×C413yes—
179C22×C4×C29C22×C413yes—
180C22×C4×C29C22×C413yes—
181C22×C4×C29C22×C413yes—
182C22×C4×C29C2411yescharacteristic
183C22×C4×C29C2413yes—
184C22×C4×C29C2413yes—
185M16×C29—43no—
186M16×C29—46no—
187M16×C29—43no—
188C2×C8×C29—43no—
189C2×C8×C29—46no—
190C2×C8×C29—43no—
191C2×C8×C29C2411yescharacteristic
192C2×C8×C29C2413yes—
193C2×C8×C29C2411yescharacteristic
194C2×C8×C29C2413yes—
195C2×C8×C29C2413yes—
196C2×C8×C29C2411yescharacteristic
197C2×C8×C29C2413yes—
198C2×C8×C29C2411yescharacteristic
199C4⋊C4×C29C22×C413yes—
200C4⋊C4×C29C22×C413yes—
201C4⋊C4×C29C22×C416yes—
202C4⋊C4×C29C22×C413yes—
203C4⋊C4×C29C22×C413yes—
204C4⋊C4×C29C22×C411yescharacteristic
205C4⋊C4×C29C22×C411yescharacteristic
206C4⋊C4×C29C22×C413yes—
207C4⋊C4×C29C22×C413yes—
208C4⋊C4×C29C22×C413yes—
209C4⋊C4×C29C22×C413yes—
210C4⋊C4×C29C22×C416yes—
211C22⋊C4×C29C22×C416yes—
212C22⋊C4×C29C22×C416yes—
213C22⋊C4×C29C22×C411yescharacteristic
214C22⋊C4×C29C22×C411yescharacteristic
215C22⋊C4×C29C22×C413yes—
216C22⋊C4×C29C22×C413yes—
217C22⋊C4×C29C22×C413yes—
218C22⋊C4×C29C22×C413yes—
219C22⋊C4×C29C22×C416yes—
220C22⋊C4×C29C22×C416yes—
221C42×C29C22×C413yes—
222C42×C29C22×C413yes—
223C42×C29C22×C413yes—
224C42×C29C22×C413yes—
225C42×C29C22×C413yes—
226C42×C29C22×C413yes—
227C42×C29C2411yescharacteristic
228C42×C29C2411yescharacteristic
229C42×C29C2413yes—
230C42×C29C2413yes—
231#60301C2911yesmaximal, characteristic, direct product factor, Sylow
232C23×C29C23×C413yes—
233C23×C29C23×C413yes—
234C23×C29C23×C411yescharacteristic
235Q8×C29—26no—
236Q8×C29—43no—
237Q8×C29#13114yes—
238D4×C29—26no—
239D4×C29—26no—
240D4×C29—46no—
241D4×C29—43no—
242D4×C29—43no—
243D4×C29—43no—
244C2×C4×C29—26no—
245C2×C4×C29—26no—
246C2×C4×C29—26no—
247C2×C4×C29—23no—
248C2×C4×C29—23no—
249C2×C4×C29—23no—
250C2×C4×C29—23no—
251C2×C4×C29—21no—
252C2×C4×C29—21no—
253C2×C4×C29—43no—
254C2×C4×C29—43no—
255C2×C4×C29—43no—
256C2×C4×C29C23×C411yescharacteristic
257C2×C4×C29C23×C411yescharacteristic
258C2×C4×C29C23×C411yescharacteristic
259C2×C4×C29C23×C413yes—
260C2×C4×C29C23×C411yescharacteristic
261C2×C4×C29C23×C411yescharacteristic
262C2×C4×C29C23×C413yes—
263C2×C4×C29C23×C413yes—
264C2×C4×C29C23×C413yes—
265C2×C4×C29C23×C413yes—
266C2×C4×C29C23×C413yes—
267C2×C4×C29C2511yescharacteristic
268C8×C29—21no—
269C8×C29—23no—
270C8×C29—21no—
271C8×C29—23no—
272C8×C29—23no—
273C8×C29—21no—
274C8×C29—23no—
275C8×C29—21no—
276#3480C2×C2911yescharacteristic
277#2994C2×C2913yescomplemented
278#2993C2×C2913yescomplemented
279#2991C2×C2911yescharacteristic, complemented
280#2988C2×C2911yescharacteristic, complemented
281#2984C2×C2911yescharacteristic, complemented
282#2982C2×C2911yescharacteristic, complemented
283#2981C2×C2913yescomplemented
284#2979C2×C2913yescomplemented
285#2971C2×C2911yescharacteristic, complemented
286#2969C2×C2913yescomplemented
287#2966C2×C2913yescomplemented
288C8×#41C2×C2911yescharacteristic, complemented
289#2925C2×C2913yescomplemented
290#2922C2×C2913yescomplemented
291C22×C29—21no—
292C22×C29—23no—
293C22×C29—23no—
294C22×C29—21no—
295C22×C29—23no—
296C22×C29—23no—
297C22×C29—21no—
298C22×C29—23no—
299C22×C29—23no—
300C22×C29C24×C411yescharacteristic
301C4×C29—21no—
302C4×C29—23no—
303C4×C29—23no—
304C4×C29—21no—
305C4×C29—21no—
306C4×C29—23no—
307C4×C29—21no—
308C4×C29—21no—
309C4×C29—23no—
310C4×C29—23no—
311C4×C29C2×#13116yes—
312C4×C29#58511yescharacteristic
313C4×C29#58511yescharacteristic
314#559C4×C2913yes—
315#557C4×C2911yescharacteristic
316#556C4×C2913yes—
317#553C4×C2913yes—
318#553C4×C2913yes—
319#550C4×C2911yescharacteristic
320#548C4×C2911yescharacteristic
321#548C4×C2911yescharacteristic
322#532C22×C2913yes—
323#529C22×C2913yes—
324#529C22×C2913yes—
325C4×#41C22×C2911yescharacteristic
326C4×#41C22×C2911yescharacteristic
327C4×#41C22×C2913yes—
328C2×C4×Q8C22×C2911yescharacteristic
329#446C22×C2913yes—
330#446C22×C2913yes—
331C8×Q8C22×C2911yescharacteristic
332C8×Q8C22×C2911yescharacteristic
333C8×Q8C22×C2913yes—
334C8×Q8C22×C2913yes—
335C8×Q8C22×C2911yescharacteristic
336C8×Q8C22×C2911yescharacteristic
337#436C22×C2913yes—
338#436C22×C2916yes—
339#436C22×C2913yes—
340#436C22×C2913yes—
341#436C22×C2913yes—
342#435C22×C2916yes—
343#435C22×C2916yes—
344C8×D4C22×C2913yes—
345C8×D4C22×C2913yes—
346C8×D4C22×C2916yes—
347C8×D4C22×C2913yes—
348C8×D4C22×C2913yes—
349#433C22×C2911yescharacteristic
350#433C22×C2913yes—
351#433C22×C2913yes—
352#433C22×C2913yes—
353#433C22×C2916yes—
354#432C22×C2913yes—
355#432C22×C2913yes—
356#431C22×C2913yes—
357#431C22×C2913yes—
358#431C22×C2913yes—
359#431C22×C2913yes—
360#431C22×C2913yes—
361#431C22×C2913yes—
362#424C22×C2913yes—
363#424C22×C2913yes—
364#423C22×C2913yes—
365C2×C4⋊C8C22×C2913yes—
366#408C22×C2913yes—
367#408C22×C2913yes—
368#408C22×C2916yes—
369#405C22×C2916yes—
370C4×M16C22×C2913yes—
371C2×C4×C8C22×C2913yes—
372C2×C29—41no—
373C2×C29—43no—
374C2×C29—43no—
375C2×C29#342811yescharacteristic
376C2×C29C22×#13111yescharacteristic
377C2×C29#357311yescharacteristic
378C2×#41C2×C4×C2911yescharacteristic
379C2×#41C2×C4×C2911yescharacteristic
380C2×#41C23×C2913yes—
381C22×Q8C2×C4×C2911yescharacteristic
382C2×M16C23×C2913yes—
383C2×M16C23×C2913yes—
384C2×M16C23×C2916yes—
385C22×C8C23×C2913yes—
386C22×C8C23×C2913yes—
387C22×C8C23×C2916yes—
388C4⋊Q8C2×C4×C2913yes—
389#127C2×C4×C2913yes—
390#126C2×C4×C2916yes—
391#126C2×C4×C2916yes—
392#125C2×C4×C2913yes—
393#125C2×C4×C2913yes—
394#124C2×C4×C2913yes—
395#124C2×C4×C2913yes—
396#124C2×C4×C2916yes—
397#123C2×C4×C2916yes—
398#123C2×C4×C2916yes—
399C22⋊Q8C2×C4×C2913yes—
400C22⋊Q8C2×C4×C2913yes—
401#121C2×C4×C2913yes—
402#121C2×C4×C2913yes—
403#121C2×C4×C2913yes—
404#121C2×C4×C2913yes—
405#121C2×C4×C2916yes—
406C4×Q8C2×C4×C2911yescharacteristic
407C4×Q8C2×C4×C2913yes—
408C4×Q8C2×C4×C2911yescharacteristic
409C4×Q8C2×C4×C2911yescharacteristic
410C4×Q8C2×C4×C2913yes—
411C4×Q8C2×C4×C2913yes—
412C4×Q8C23×C2911yescharacteristic
413C4×Q8C23×C2913yes—
414C4×D4C2×C4×C2913yes—
415C4×D4C2×C4×C2913yes—
416C4×D4C2×C4×C2913yes—
417C4×D4C2×C4×C2913yes—
418C4×D4C2×C4×C2913yes—
419C4×D4C2×C4×C2913yes—
420C4×D4C2×C4×C2913yes—
421C4×D4C2×C4×C2913yes—
422C4×D4C23×C2913yes—
423C4×D4C23×C2913yes—
424C4×D4C23×C2916yes—
425#117C2×C4×C2913yes—
426#117C2×C4×C2913yes—
427#117C23×C2911yescharacteristic
428#117C23×C2913yes—
429#117C23×C2913yes—
430C2×C4⋊C4C2×C4×C2913yes—
431C2×C42C23×C2913yes—
432C2×C42C23×C2913yes—
433C2×C42C23×C2913yes—
434C4⋊C8C23×C2913yes—
435C4⋊C8C23×C2913yes—
436C4⋊C8C23×C2913yes—
437C4⋊C8C23×C2913yes—
438C4⋊C8C23×C2913yes—
439C4⋊C8C23×C2913yes—
440C4⋊C8C23×C2911yescharacteristic
441C4⋊C8C23×C2911yescharacteristic
442C4⋊C8C23×C2913yes—
443C4⋊C8C23×C2913yes—
444C4⋊C8C23×C2913yes—
445C4⋊C8C23×C2913yes—
446C22⋊C8C23×C2911yescharacteristic
447C22⋊C8C23×C2913yes—
448C22⋊C8C23×C2911yescharacteristic
449C22⋊C8C23×C2913yes—
450C22⋊C8C23×C2913yes—
451C22⋊C8C23×C2916yes—
452C22⋊C8C23×C2913yes—
453C22⋊C8C23×C2913yes—
454C22⋊C8C23×C2913yes—
455C22⋊C8C23×C2916yes—
456#97C23×C2911yescharacteristic
457#97C23×C2913yes—
458#97C23×C2916yes—
459C4×C8C23×C2911yescharacteristic
460C4×C8C23×C2913yes—
461C4×C8C23×C2913yes—
462C4×C8C23×C2913yes—
463C4×C8C23×C2913yes—
464C4×C8C23×C2913yes—
465C4×C8C23×C2916yes—
466C29#6030111yescharacteristic, direct product factor, Sylow
467#41—24no—
468#41—24no—
469#41—43no—
470#41—43no—
471C2×Q8—24no—
472C2×Q8C22×C4×C2913yes—
473C2×Q8C22×C4×C2913yes—
474C2×Q8C22×C4×C2911yescharacteristic
475C2×D4C22×C4×C2913yes—
476C2×D4C22×C4×C2913yes—
477C2×D4C22×C4×C2913yes—
478C2×D4C22×C4×C2913yes—
479C2×D4C22×C4×C2913yes—
480C2×D4C22×C4×C2916yes—
481C22×C4C22×C4×C2913yes—
482C22×C4C22×C4×C2913yes—
483C22×C4C22×C4×C2913yes—
484C22×C4C22×C4×C2913yes—
485C22×C4C22×C4×C2913yes—
486C22×C4C22×C4×C2913yes—
487C22×C4C24×C2911yescharacteristic
488C22×C4C24×C2913yes—
489C22×C4C24×C2913yes—
490M16—43no—
491M16—46no—
492M16—43no—
493C2×C8—43no—
494C2×C8—46no—
495C2×C8—43no—
496C2×C8C24×C2911yescharacteristic
497C2×C8C24×C2911yescharacteristic
498C2×C8C24×C2913yes—
499C2×C8C24×C2911yescharacteristic
500C2×C8C24×C2911yescharacteristic
501C2×C8C24×C2913yes—
502C2×C8C24×C2913yes—
503C2×C8C24×C2913yes—
504C4⋊C4C22×C4×C2913yes—
505C4⋊C4C22×C4×C2913yes—
506C4⋊C4C22×C4×C2916yes—
507C4⋊C4C22×C4×C2913yes—
508C4⋊C4C22×C4×C2913yes—
509C4⋊C4C22×C4×C2911yescharacteristic
510C4⋊C4C22×C4×C2911yescharacteristic
511C4⋊C4C22×C4×C2913yes—
512C4⋊C4C22×C4×C2913yes—
513C4⋊C4C22×C4×C2913yes—
514C4⋊C4C22×C4×C2913yes—
515C4⋊C4C22×C4×C2916yes—
516C22⋊C4C22×C4×C2916yes—
517C22⋊C4C22×C4×C2916yes—
518C22⋊C4C22×C4×C2911yescharacteristic
519C22⋊C4C22×C4×C2911yescharacteristic
520C22⋊C4C22×C4×C2913yes—
521C22⋊C4C22×C4×C2913yes—
522C22⋊C4C22×C4×C2913yes—
523C22⋊C4C22×C4×C2913yes—
524C22⋊C4C22×C4×C2916yes—
525C22⋊C4C22×C4×C2916yes—
526C42C22×C4×C2913yes—
527C42C22×C4×C2913yes—
528C42C22×C4×C2913yes—
529C42C22×C4×C2913yes—
530C42C22×C4×C2913yes—
531C42C22×C4×C2913yes—
532C42C24×C2911yescharacteristic
533C42C24×C2913yes—
534C42C24×C2913yes—
535C42C24×C2911yescharacteristic
536C23C23×C4×C2913yes—
537C23C23×C4×C2913yes—
538C23C23×C4×C2911yescharacteristic
539Q8—26no—
540Q8—43no—
541Q8C29×#13114yes—
542D4—26no—
543D4—26no—
544D4—43no—
545D4—43no—
546D4—43no—
547D4—46no—
548C2×C4—26no—
549C2×C4—26no—
550C2×C4—26no—
551C2×C4—23no—
552C2×C4—23no—
553C2×C4—23no—
554C2×C4—23no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—43no—
558C2×C4—43no—
559C2×C4—43no—
560C2×C4C23×C4×C2911yescharacteristic
561C2×C4C23×C4×C2911yescharacteristic
562C2×C4C23×C4×C2911yescharacteristic
563C2×C4C23×C4×C2913yes—
564C2×C4C23×C4×C2911yescharacteristic
565C2×C4C23×C4×C2911yescharacteristic
566C2×C4C23×C4×C2913yes—
567C2×C4C23×C4×C2913yes—
568C2×C4C23×C4×C2913yes—
569C2×C4C23×C4×C2913yes—
570C2×C4C23×C4×C2913yes—
571C2×C4C25×C2911yescharacteristic
572C8—21no—
573C8—23no—
574C8—21no—
575C8—23no—
576C8—23no—
577C8—21no—
578C8—21no—
579C8—23no—
580C22—21no—
581C22—23no—
582C22—23no—
583C22—21no—
584C22—23no—
585C22—23no—
586C22—21no—
587C22—23no—
588C22—23no—
589C22C24×C4×C2911yescharacteristic
590C4—21no—
591C4—21no—
592C4—23no—
593C4—21no—
594C4—21no—
595C4—23no—
596C4—23no—
597C4—21no—
598C4—23no—
599C4—23no—
600C4C2×C29×#13116yes—
601C4C29×#58511yescharacteristic
602C4C29×#58511yescharacteristic
603C2—41no—
604C2—43no—
605C2—43no—
606C2C29×#342811yescharacteristic
607C2C22×C29×#13111yescharacteristic
608C2C29×#357311yescharacteristic
subgroupG/H
centerC2×C4×C29C25
commutatorC22C24×C4×C29
Frattini, cosocleC2×C4C25×C29
socleC22×C29C24×C4
prime radicalC29×#3480C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C2×C4×C29 ◁ G

Complements

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

NH ≅ G/Ntype
2. C29×#2994C2semidirect
3. C29×#2993C2semidirect
4. C29×#2991C2semidirect
5. C29×#2988C2semidirect
6. C29×#2984C2semidirect
7. C29×#2982C2semidirect
8. C29×#2981C2semidirect
9. C29×#2979C2semidirect
10. C29×#2971C2semidirect
11. C29×#2969C2semidirect
12. C29×#2966C2semidirect
13. C8×#41×C29C2semidirect
14. C29×#2925C2semidirect
15. C29×#2922C2semidirect
231. #60301C29direct (N × H)
277. #2994C2×C29semidirect
278. #2993C2×C29semidirect
279. #2991C2×C29semidirect
280. #2988C2×C29semidirect
281. #2984C2×C29semidirect
282. #2982C2×C29semidirect
283. #2981C2×C29semidirect
284. #2979C2×C29semidirect
285. #2971C2×C29semidirect
286. #2969C2×C29semidirect
287. #2966C2×C29semidirect
288. C8×#41C2×C29semidirect
289. #2925C2×C29semidirect
290. #2922C2×C29semidirect
466. C29#60301direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#34802
C29×#29942
C29×#29932
C29×#29912
C29×#29882
C29×#29842
C29×#29822
C29×#29812
C29×#29792
C29×#29712
C29×#29692
C29×#29662
C8×#41×C292
C29×#29252
C29×#29222
#6030129