Finite Group Databasebeta

← C29×#18028 #20312928

Subgroups — C29×#18028 #20312928

Order 7424.

616 conjugacy classes of subgroups.

The subgroup lattice has 590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3101C211yesmaximal, characteristic
2C29×#2986C211yesmaximal, characteristic, complemented
3C29×#2974C211yesmaximal, characteristic
4C29×#1592C211yesmaximal, characteristic, complemented
5C29×#1590C211yesmaximal, characteristic, complemented
6C29×#1588C211yesmaximal, characteristic, complemented
7C29×#1585C211yesmaximal, characteristic, complemented
8C29×#1583C211yesmaximal, characteristic, complemented
9C29×#1582C211yesmaximal, characteristic, complemented
10C29×SD16⋊C8C211yesmaximal, characteristic, complemented
11C8×SD16×C29C211yesmaximal, characteristic, complemented
12C29×#1572C211yesmaximal, characteristic, complemented
13C29×#1497C211yesmaximal, characteristic, complemented
14C29×#1478C211yesmaximal, characteristic
15C29×#1454C211yesmaximal, characteristic, complemented
16C29×#533C2211yescharacteristic
17C2×C4×D4×C29C2211yescharacteristic
18C29×#483C411yescharacteristic
19C29×#483C411yescharacteristic
20C29×#476C411yescharacteristic
21C29×#476C411yescharacteristic
22C29×#461C411yescharacteristic
23C29×#461C411yescharacteristic
24C29×#450C411yescharacteristic
25C29×#450C411yescharacteristic
26C29×#446—21no—
27C29×#446C2211yescharacteristic, complemented
28C29×#446C2211yescharacteristic, complemented
29C8×Q8×C29—21no—
30C8×Q8×C29C2211yescharacteristic, complemented
31C8×Q8×C29C2211yescharacteristic, complemented
32C4×SD16×C29C2211yescharacteristic
33C4×SD16×C29C2211yescharacteristic
34C4×SD16×C29C2211yescharacteristic
35C4×SD16×C29C2211yescharacteristic
36C29×#436C2211yescharacteristic
37C29×#436C2211yescharacteristic
38C29×#435—21no—
39C29×#435—21no—
40C8×D4×C29C2211yescharacteristic
41C8×D4×C29C2211yescharacteristic
42C29×#433—21no—
43C29×#433—21no—
44C29×#432C2211yescharacteristic
45C29×#431C2211yescharacteristic
46C29×#431C2211yescharacteristic
47C29×#431C2211yescharacteristic
48C29×#431C2211yescharacteristic
49C29×#407—21no—
50C2×C29×C22⋊C8—21no—
51C29×#335C2211yescharacteristic, complemented
52C29×#335C2211yescharacteristic, complemented
53C29×#334C2211yescharacteristic, complemented
54C29×#334C2211yescharacteristic, complemented
55C29×Q8⋊C8C2211yescharacteristic, complemented
56C29×Q8⋊C8C2211yescharacteristic, complemented
57C29×Q8⋊C8C2211yescharacteristic, complemented
58C29×Q8⋊C8C2211yescharacteristic, complemented
59C29×D4⋊C8C2211yescharacteristic
60C29×D4⋊C8C2211yescharacteristic
61C29×D4⋊C8C2211yescharacteristic
62C29×D4⋊C8C2211yescharacteristic
63C29×#322C2211yescharacteristic, complemented
64C29×#322C2211yescharacteristic, complemented
65C29×#322C2211yescharacteristic, complemented
66C82×C29C2211yescharacteristic, complemented
67C22×D4×C29C2×C411yescharacteristic
68C23×C4×C29—21no—
69C2×SD16×C29C2×C411yescharacteristic
70C2×SD16×C29C2×C411yescharacteristic
71C2×SD16×C29C2×C411yescharacteristic
72C2×SD16×C29C2×C411yescharacteristic
73C2×M16×C29—21no—
74C2×M16×C29—21no—
75C22×C8×C29—21no—
76C22×C8×C29—21no—
77C29×C4⋊Q8C2×C411yescharacteristic
78C29×C4⋊Q8C2×C411yescharacteristic
79C29×#125—21no—
80C29×C22⋊Q8—21no—
81C29×C22⋊Q8C2×C411yescharacteristic
82C29×C22⋊Q8C2×C411yescharacteristic
83C4×Q8×C29—21no—
84C4×Q8×C29C2311yescharacteristic
85C4×Q8×C29C2311yescharacteristic
86C4×D4×C29—21no—
87C4×D4×C29—21no—
88C4×D4×C29C2×C411yescharacteristic
89C4×D4×C29C2×C411yescharacteristic
90C4×D4×C29C2311yescharacteristic
91C4×D4×C29C2311yescharacteristic
92C29×#117—21no—
93C2×C4⋊C4×C29C2×C411yescharacteristic
94C2×C22⋊C4×C29—21no—
95C2×C42×C29C2311yescharacteristic
96C29×#106C2×C411yescharacteristic
97C29×#106C2×C411yescharacteristic
98C29×#106C2×C411yescharacteristic
99C29×#106C2×C411yescharacteristic
100C29×C4⋊C8—21no—
101C29×C4⋊C8—21no—
102C29×C4⋊C8—21no—
103C29×C4⋊C8—21no—
104C29×C4⋊C8—21no—
105C29×C4⋊C8C2×C411yescharacteristic
106C29×C4⋊C8C2×C411yescharacteristic
107C29×C4⋊C8D411yescharacteristic
108C29×C4⋊C8D411yescharacteristic
109C29×C4⋊C8C2311yescharacteristic
110C29×C4⋊C8C2311yescharacteristic
111C29×C4⋊C8C2311yescharacteristic
112C29×C4⋊C8C2311yescharacteristic
113C29×#103C2×C411yescharacteristic
114C29×#103C2×C411yescharacteristic
115C29×#103C2×C411yescharacteristic
116C29×#103C2×C411yescharacteristic
117C29×#102C2×C411yescharacteristic
118C29×#102C2×C411yescharacteristic
119C29×#102C2×C411yescharacteristic
120C29×#102C2×C411yescharacteristic
121C29×C22⋊C8—21no—
122C29×C22⋊C8—21no—
123C29×C22⋊C8—21no—
124C29×C22⋊C8—21no—
125C29×C22⋊C8—21no—
126C29×C22⋊C8—21no—
127C29×C22⋊C8—21no—
128C29×C22⋊C8C2×C411yescharacteristic
129C29×C22⋊C8C2×C411yescharacteristic
130C29×C22⋊C8D411yescharacteristic
131C29×C22⋊C8D411yescharacteristic
132C29×#97—21no—
133C29×#97—21no—
134C29×#97—21no—
135C4×C8×C29—21no—
136C4×C8×C29—21no—
137C4×C8×C29—21no—
138C4×C8×C29C2311yescharacteristic
139C4×C8×C29C2311yescharacteristic
140C4×C8×C29C2311yescharacteristic
141C4×C8×C29C2311yescharacteristic
142C4×C8×C29C2311yescharacteristic
143C4×C8×C29C2311yescharacteristic
144C24×C29—21no—
145C2×Q8×C29—21no—
146C2×Q8×C29C22×C411yescharacteristic
147C2×Q8×C29C22×C411yescharacteristic
148C2×D4×C29—22no—
149C2×D4×C29—21no—
150C2×D4×C29—41no—
151C2×D4×C29C22×C411yescharacteristic
152C2×D4×C29C22×C411yescharacteristic
153C22×C4×C29—21no—
154C22×C4×C29—21no—
155C22×C4×C29—21no—
156C22×C4×C29—21no—
157C22×C4×C29—21no—
158C22×C4×C29—81no—
159C22×C4×C29—81no—
160C22×C4×C29C22×C411yescharacteristic
161C22×C4×C29C2×D411yescharacteristic
162C22×C4×C29#4111yescharacteristic
163SD16×C29—22no—
164SD16×C29—22no—
165SD16×C29—41no—
166SD16×C29—41no—
167M16×C29—81no—
168M16×C29—81no—
169C2×C8×C29—21no—
170C2×C8×C29—21no—
171C2×C8×C29—21no—
172C2×C8×C29—21no—
173C2×C8×C29—21no—
174C2×C8×C29—21no—
175C2×C8×C29—81no—
176C2×C8×C29—81no—
177C2×C8×C29C22×C411yescharacteristic
178C2×C8×C29C22×C411yescharacteristic
179C2×C8×C29C22×C411yescharacteristic
180C2×C8×C29C22×C411yescharacteristic
181C2×C8×C29C2×D411yescharacteristic
182C2×C8×C29C2×D411yescharacteristic
183C2×C8×C29C2×D411yescharacteristic
184C2×C8×C29C2×D411yescharacteristic
185C4⋊C4×C29—21no—
186C4⋊C4×C29—21no—
187C4⋊C4×C29—21no—
188C4⋊C4×C29—21no—
189C4⋊C4×C29—21no—
190C4⋊C4×C29—21no—
191C4⋊C4×C29—21no—
192C4⋊C4×C29—21no—
193C4⋊C4×C29C22×C411yescharacteristic
194C4⋊C4×C29C22×C411yescharacteristic
195C4⋊C4×C29C22×C411yescharacteristic
196C4⋊C4×C29C22×C411yescharacteristic
197C22⋊C4×C29—21no—
198C22⋊C4×C29—21no—
199C22⋊C4×C29—21no—
200C22⋊C4×C29—21no—
201C22⋊C4×C29—21no—
202C22⋊C4×C29—21no—
203C42×C29—21no—
204C42×C29—21no—
205C42×C29C22×C411yescharacteristic
206C42×C29C2×D411yescharacteristic
207C42×C29#4111yescharacteristic
208C42×C29C2411yescharacteristic
209#18028C2911yesmaximal, characteristic, direct product factor, Sylow
210C23×C29—21no—
211C23×C29—21no—
212C23×C29—42no—
213C23×C29—42no—
214C23×C29—81no—
215C23×C29C4×D411yescharacteristic
216Q8×C29—21no—
217Q8×C29—21no—
218Q8×C29—21no—
219Q8×C29—21no—
220Q8×C29—42no—
221D4×C29—21no—
222D4×C29—21no—
223D4×C29—21no—
224D4×C29—42no—
225D4×C29#13112yes—
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—41no—
237C2×C4×C29—41no—
238C2×C4×C29—41no—
239C2×C4×C29—41no—
240C2×C4×C29—41no—
241C2×C4×C29—81no—
242C2×C4×C29—81no—
243C2×C4×C29—81no—
244C2×C4×C29C4×D411yescharacteristic
245C2×C4×C29C4×D411yescharacteristic
246C2×C4×C29C4×D411yescharacteristic
247C2×C4×C29C23×C411yescharacteristic
248C2×C4×C29C22×D411yescharacteristic
249C2×C4×C29C2×#4111yescharacteristic
250C8×C29—21no—
251C8×C29—21no—
252C8×C29—21no—
253C8×C29—21no—
254C8×C29—21no—
255C8×C29—21no—
256C8×C29—21no—
257C8×C29—21no—
258C8×C29—41no—
259C8×C29—41no—
260C8×C29—41no—
261C8×C29—41no—
262C8×C29—41no—
263C8×C29—41no—
264#3101C2×C2911yescharacteristic
265#2986C2×C2911yescharacteristic, complemented
266#2974C2×C2911yescharacteristic
267#1592C2×C2911yescharacteristic, complemented
268#1590C2×C2911yescharacteristic, complemented
269#1588C2×C2911yescharacteristic, complemented
270#1585C2×C2911yescharacteristic, complemented
271#1583C2×C2911yescharacteristic, complemented
272#1582C2×C2911yescharacteristic, complemented
273SD16⋊C8C2×C2911yescharacteristic, complemented
274C8×SD16C2×C2911yescharacteristic, complemented
275#1572C2×C2911yescharacteristic, complemented
276#1497C2×C2911yescharacteristic, complemented
277#1478C2×C2911yescharacteristic
278#1454C2×C2911yescharacteristic, complemented
279C22×C29—21no—
280C22×C29—22no—
281C22×C29—21no—
282C22×C29—21no—
283C22×C29—41no—
284C22×C29—41no—
285C22×C29—41no—
286C22×C29—41no—
287C22×C29—41no—
288C22×C29—84no—
289C22×C29C2×C4×D411yescharacteristic
290C4×C29—21no—
291C4×C29—21no—
292C4×C29—21no—
293C4×C29—21no—
294C4×C29—41no—
295C4×C29—41no—
296C4×C29—41no—
297C4×C29—41no—
298C4×C29—41no—
299C4×C29—41no—
300C4×C29C2×#13111yescharacteristic
301C4×C29#56811yescharacteristic
302C4×C29#57711yescharacteristic
303C4×C29#57711yescharacteristic
304#533C22×C2911yescharacteristic
305C2×C4×D4C22×C2911yescharacteristic
306#483C4×C2911yescharacteristic
307#483C4×C2911yescharacteristic
308#476C4×C2911yescharacteristic
309#476C4×C2911yescharacteristic
310#461C4×C2911yescharacteristic
311#461C4×C2911yescharacteristic
312#450C4×C2911yescharacteristic
313#450C4×C2911yescharacteristic
314#446—21no—
315#446C22×C2911yescharacteristic, complemented
316#446C22×C2911yescharacteristic, complemented
317C8×Q8—21no—
318C8×Q8C22×C2911yescharacteristic, complemented
319C8×Q8C22×C2911yescharacteristic, complemented
320C4×SD16C22×C2911yescharacteristic
321C4×SD16C22×C2911yescharacteristic
322C4×SD16C22×C2911yescharacteristic
323C4×SD16C22×C2911yescharacteristic
324#436C22×C2911yescharacteristic
325#436C22×C2911yescharacteristic
326#435—21no—
327#435—21no—
328C8×D4C22×C2911yescharacteristic
329C8×D4C22×C2911yescharacteristic
330#433—21no—
331#433—21no—
332#432C22×C2911yescharacteristic
333#431C22×C2911yescharacteristic
334#431C22×C2911yescharacteristic
335#431C22×C2911yescharacteristic
336#431C22×C2911yescharacteristic
337#407—21no—
338C2×C22⋊C8—21no—
339#335C22×C2911yescharacteristic, complemented
340#335C22×C2911yescharacteristic, complemented
341#334C22×C2911yescharacteristic, complemented
342#334C22×C2911yescharacteristic, complemented
343Q8⋊C8C22×C2911yescharacteristic, complemented
344Q8⋊C8C22×C2911yescharacteristic, complemented
345Q8⋊C8C22×C2911yescharacteristic, complemented
346Q8⋊C8C22×C2911yescharacteristic, complemented
347D4⋊C8C22×C2911yescharacteristic
348D4⋊C8C22×C2911yescharacteristic
349D4⋊C8C22×C2911yescharacteristic
350D4⋊C8C22×C2911yescharacteristic
351#322C22×C2911yescharacteristic, complemented
352#322C22×C2911yescharacteristic, complemented
353#322C22×C2911yescharacteristic, complemented
354C82C22×C2911yescharacteristic, complemented
355C2×C29—41no—
356C2×C29—42no—
357C2×C29—81no—
358C2×C29#293311yescharacteristic
359C2×C29#294911yescharacteristic
360C2×C29#295511yescharacteristic
361C22×D4C2×C4×C2911yescharacteristic
362C23×C4—21no—
363C2×SD16C2×C4×C2911yescharacteristic
364C2×SD16C2×C4×C2911yescharacteristic
365C2×SD16C2×C4×C2911yescharacteristic
366C2×SD16C2×C4×C2911yescharacteristic
367C2×M16—21no—
368C2×M16—21no—
369C22×C8—21no—
370C22×C8—21no—
371C4⋊Q8C2×C4×C2911yescharacteristic
372C4⋊Q8C2×C4×C2911yescharacteristic
373#125—21no—
374C22⋊Q8—21no—
375C22⋊Q8C2×C4×C2911yescharacteristic
376C22⋊Q8C2×C4×C2911yescharacteristic
377C4×Q8—21no—
378C4×Q8C23×C2911yescharacteristic
379C4×Q8C23×C2911yescharacteristic
380C4×D4—21no—
381C4×D4—21no—
382C4×D4C2×C4×C2911yescharacteristic
383C4×D4C2×C4×C2911yescharacteristic
384C4×D4C23×C2911yescharacteristic
385C4×D4C23×C2911yescharacteristic
386#117—21no—
387C2×C4⋊C4C2×C4×C2911yescharacteristic
388C2×C22⋊C4—21no—
389C2×C42C23×C2911yescharacteristic
390#106C2×C4×C2911yescharacteristic
391#106C2×C4×C2911yescharacteristic
392#106C2×C4×C2911yescharacteristic
393#106C2×C4×C2911yescharacteristic
394C4⋊C8—21no—
395C4⋊C8—21no—
396C4⋊C8—21no—
397C4⋊C8—21no—
398C4⋊C8—21no—
399C4⋊C8C2×C4×C2911yescharacteristic
400C4⋊C8C2×C4×C2911yescharacteristic
401C4⋊C8D4×C2911yescharacteristic
402C4⋊C8D4×C2911yescharacteristic
403C4⋊C8C23×C2911yescharacteristic
404C4⋊C8C23×C2911yescharacteristic
405C4⋊C8C23×C2911yescharacteristic
406C4⋊C8C23×C2911yescharacteristic
407#103C2×C4×C2911yescharacteristic
408#103C2×C4×C2911yescharacteristic
409#103C2×C4×C2911yescharacteristic
410#103C2×C4×C2911yescharacteristic
411#102C2×C4×C2911yescharacteristic
412#102C2×C4×C2911yescharacteristic
413#102C2×C4×C2911yescharacteristic
414#102C2×C4×C2911yescharacteristic
415C22⋊C8—21no—
416C22⋊C8—21no—
417C22⋊C8—21no—
418C22⋊C8—21no—
419C22⋊C8—21no—
420C22⋊C8—21no—
421C22⋊C8—21no—
422C22⋊C8C2×C4×C2911yescharacteristic
423C22⋊C8C2×C4×C2911yescharacteristic
424C22⋊C8D4×C2911yescharacteristic
425C22⋊C8D4×C2911yescharacteristic
426#97—21no—
427#97—21no—
428#97—21no—
429C4×C8—21no—
430C4×C8—21no—
431C4×C8—21no—
432C4×C8C23×C2911yescharacteristic
433C4×C8C23×C2911yescharacteristic
434C4×C8C23×C2911yescharacteristic
435C4×C8C23×C2911yescharacteristic
436C4×C8C23×C2911yescharacteristic
437C4×C8C23×C2911yescharacteristic
438C29#1802811yescharacteristic, direct product factor, Sylow
439C24—21no—
440C2×Q8—21no—
441C2×Q8C22×C4×C2911yescharacteristic
442C2×Q8C22×C4×C2911yescharacteristic
443C2×D4—22no—
444C2×D4—21no—
445C2×D4—41no—
446C2×D4C22×C4×C2911yescharacteristic
447C2×D4C22×C4×C2911yescharacteristic
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—81no—
454C22×C4—81no—
455C22×C4C22×C4×C2911yescharacteristic
456C22×C4C2×D4×C2911yescharacteristic
457C22×C4#41×C2911yescharacteristic
458SD16—22no—
459SD16—22no—
460SD16—41no—
461SD16—41no—
462M16—81no—
463M16—81no—
464C2×C8—21no—
465C2×C8—21no—
466C2×C8—21no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8—21no—
470C2×C8—81no—
471C2×C8—81no—
472C2×C8C22×C4×C2911yescharacteristic
473C2×C8C22×C4×C2911yescharacteristic
474C2×C8C22×C4×C2911yescharacteristic
475C2×C8C22×C4×C2911yescharacteristic
476C2×C8C2×D4×C2911yescharacteristic
477C2×C8C2×D4×C2911yescharacteristic
478C2×C8C2×D4×C2911yescharacteristic
479C2×C8C2×D4×C2911yescharacteristic
480C4⋊C4—21no—
481C4⋊C4—21no—
482C4⋊C4—21no—
483C4⋊C4—21no—
484C4⋊C4—21no—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4—21no—
488C4⋊C4C22×C4×C2911yescharacteristic
489C4⋊C4C22×C4×C2911yescharacteristic
490C4⋊C4C22×C4×C2911yescharacteristic
491C4⋊C4C22×C4×C2911yescharacteristic
492C22⋊C4—21no—
493C22⋊C4—21no—
494C22⋊C4—21no—
495C22⋊C4—21no—
496C22⋊C4—21no—
497C22⋊C4—21no—
498C42—21no—
499C42—21no—
500C42C22×C4×C2911yescharacteristic
501C42C2×D4×C2911yescharacteristic
502C42#41×C2911yescharacteristic
503C42C24×C2911yescharacteristic
504C23—21no—
505C23—21no—
506C23—42no—
507C23—42no—
508C23—81no—
509C23C4×D4×C2911yescharacteristic
510Q8—21no—
511Q8—21no—
512Q8—21no—
513Q8—21no—
514Q8—42no—
515D4—21no—
516D4—21no—
517D4—21no—
518D4—42no—
519D4C29×#13112yes—
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—41no—
531C2×C4—41no—
532C2×C4—41no—
533C2×C4—41no—
534C2×C4—41no—
535C2×C4—81no—
536C2×C4—81no—
537C2×C4—81no—
538C2×C4C4×D4×C2911yescharacteristic
539C2×C4C4×D4×C2911yescharacteristic
540C2×C4C4×D4×C2911yescharacteristic
541C2×C4C23×C4×C2911yescharacteristic
542C2×C4C22×D4×C2911yescharacteristic
543C2×C4C2×#41×C2911yescharacteristic
544C8—21no—
545C8—21no—
546C8—21no—
547C8—21no—
548C8—21no—
549C8—21no—
550C8—21no—
551C8—21no—
552C8—41no—
553C8—41no—
554C8—41no—
555C8—41no—
556C8—41no—
557C8—41no—
558C22—21no—
559C22—22no—
560C22—21no—
561C22—21no—
562C22—41no—
563C22—41no—
564C22—41no—
565C22—41no—
566C22—41no—
567C22—84no—
568C22C2×C4×D4×C2911yescharacteristic
569C4—21no—
570C4—21no—
571C4—21no—
572C4—21no—
573C4—41no—
574C4—41no—
575C4—41no—
576C4—41no—
577C4—41no—
578C4—41no—
579C4C2×C29×#13111yescharacteristic
580C4C29×#56811yescharacteristic
581C4C29×#57711yescharacteristic
582C4C29×#57711yescharacteristic
583C2—41no—
584C2—42no—
585C2—81no—
586C2C29×#293311yescharacteristic
587C2C29×#294911yescharacteristic
588C2C29×#295511yescharacteristic
subgroupG/H
centerC2×C4×C29C22×D4
commutatorC2×C4C23×C4×C29
Frattini, cosocleC42C24×C29
socleC22×C29C2×C4×D4
prime radicalC22×D4×C29C2×C4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C29 ◁ C29×#431 ◁ G

Complements

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

NH ≅ G/Ntype
2. C29×#2986C2semidirect
4. C29×#1592C2semidirect
5. C29×#1590C2semidirect
6. C29×#1588C2semidirect
7. C29×#1585C2semidirect
8. C29×#1583C2semidirect
9. C29×#1582C2semidirect
10. C29×SD16⋊C8C2semidirect
11. C8×SD16×C29C2semidirect
12. C29×#1572C2semidirect
13. C29×#1497C2semidirect
15. C29×#1454C2semidirect
27. C29×#446C22semidirect
28. C29×#446C22semidirect
30. C8×Q8×C29C22semidirect
31. C8×Q8×C29C22semidirect
51. C29×#335C22semidirect
52. C29×#335C22semidirect
53. C29×#334C22semidirect
54. C29×#334C22semidirect
55. C29×Q8⋊C8C22semidirect
56. C29×Q8⋊C8C22semidirect
57. C29×Q8⋊C8C22semidirect
58. C29×Q8⋊C8C22semidirect
63. C29×#322C22semidirect
64. C29×#322C22semidirect
65. C29×#322C22semidirect
66. C82×C29C22semidirect
209. #18028C29direct (N × H)
265. #2986C2×C29semidirect
267. #1592C2×C29semidirect
268. #1590C2×C29semidirect
269. #1588C2×C29semidirect
270. #1585C2×C29semidirect
271. #1583C2×C29semidirect
272. #1582C2×C29semidirect
273. SD16⋊C8C2×C29semidirect
274. C8×SD16C2×C29semidirect
275. #1572C2×C29semidirect
276. #1497C2×C29semidirect
278. #1454C2×C29semidirect
315. #446C22×C29semidirect
316. #446C22×C29semidirect
318. C8×Q8C22×C29semidirect
319. C8×Q8C22×C29semidirect
339. #335C22×C29semidirect
340. #335C22×C29semidirect
341. #334C22×C29semidirect
342. #334C22×C29semidirect
343. Q8⋊C8C22×C29semidirect
344. Q8⋊C8C22×C29semidirect
345. Q8⋊C8C22×C29semidirect
346. Q8⋊C8C22×C29semidirect
351. #322C22×C29semidirect
352. #322C22×C29semidirect
353. #322C22×C29semidirect
354. C82C22×C29semidirect
438. C29#18028direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#31012
C29×#29862
C29×#29742
C29×#15922
C29×#15902
C29×#15882
C29×#15852
C29×#15832
C29×#15822
C29×SD16⋊C82
C8×SD16×C292
C29×#15722
C29×#14972
C29×#14782
C29×#14542
#1802829