Finite Group Databasebeta

← C29×#27063 #20321963

Subgroups — C29×#27063 #20321963

Order 7424.

840 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#2514C211yesmaximal, characteristic, complemented
2C29×#2366C211yesmaximal, characteristic
3C29×#2092C211yesmaximal, characteristic, complemented
4C29×#2055C211yesmaximal, characteristic, complemented
5C29×#2041C211yesmaximal, characteristic
6C29×#2014C211yesmaximal, characteristic
7C29×#1968C211yesmaximal, characteristic, complemented
8C29×#1928C211yesmaximal, characteristic, complemented
9C29×#1925C211yesmaximal, characteristic, complemented
10C29×#1919C211yesmaximal, characteristic, complemented
11C29×#1916C211yesmaximal, characteristic, complemented
12C29×#1877C211yesmaximal, characteristic, complemented
13C29×#1877C211yesmaximal, characteristic, complemented
14C29×#1804C211yesmaximal, characteristic, complemented
15C4×C29×#102C211yesmaximal, characteristic, complemented
16C22×SD16×C29C2211yescharacteristic
17C22×SD16×C29C2211yescharacteristic
18C2×C29×#127C2211yescharacteristic
19C2×C4×D4×C29—21no—
20C2×C4×D4×C29C2211yescharacteristic
21C2×C4×D4×C29C2211yescharacteristic
22C2×C29×#107C2211yescharacteristic
23C2×C29×#106C2211yescharacteristic
24C2×C29×C4⋊C8C2211yescharacteristic
25C2×C29×#103C2211yescharacteristic
26C2×C29×#103C2211yescharacteristic
27C2×C29×#102C2211yescharacteristic
28C2×C29×#102C2211yescharacteristic
29C2×C29×#102C2211yescharacteristic
30C2×C29×#102C2211yescharacteristic
31C2×C29×#102C2211yescharacteristic
32C2×C29×#102C2211yescharacteristic
33C2×C4×C8×C29C2211yescharacteristic
34C29×#401—21no—
35C29×#400—21no—
36C29×#391C2211yescharacteristic
37C29×#391C2211yescharacteristic
38C29×#391C2211yescharacteristic
39C29×#390—21no—
40C29×#390C2211yescharacteristic
41C29×#390C2211yescharacteristic
42C29×#389C2211yescharacteristic
43C29×#387—21no—
44C29×#386—21no—
45C29×#386—21no—
46C29×#383—21no—
47C29×#382C2211yescharacteristic
48C4×C4⋊C4×C29C2211yescharacteristic
49C4×C4⋊C4×C29C2211yescharacteristic
50C4×C4⋊C4×C29C2211yescharacteristic
51C29×#340C2211yescharacteristic
52C29×#340C2211yescharacteristic
53C29×#340C2211yescharacteristic
54C29×#340C2211yescharacteristic
55C29×#336C2211yescharacteristic
56C29×#336C2211yescharacteristic
57C29×#336C2211yescharacteristic
58C29×#336C2211yescharacteristic
59C22×Q8×C29C2311yescharacteristic
60C22×D4×C29—21no—
61C22×D4×C29—21no—
62C22×D4×C29C2311yescharacteristic
63C22×D4×C29C2311yescharacteristic
64C23×C4×C29—21no—
65C23×C4×C29—21no—
66C2×SD16×C29—22no—
67C2×SD16×C29—22no—
68C2×SD16×C29—22no—
69C2×SD16×C29—41no—
70C2×SD16×C29—41no—
71C2×SD16×C29—41no—
72C22×C8×C29C2311yescharacteristic
73C22×C8×C29C2311yescharacteristic
74C22×C8×C29C2311yescharacteristic
75C22×C8×C29C2311yescharacteristic
76C29×#127—22no—
77C29×#127—22no—
78C4×D4×C29—22no—
79C4×D4×C29—22no—
80C4×D4×C29—41no—
81C4×D4×C29—41no—
82C4×D4×C29—44no—
83C2×C4⋊C4×C29—21no—
84C2×C4⋊C4×C29D411yescharacteristic
85C2×C4⋊C4×C29D411yescharacteristic
86C2×C4⋊C4×C29C2311yescharacteristic
87C2×C4⋊C4×C29C2311yescharacteristic
88C2×C4⋊C4×C29C2311yescharacteristic
89C2×C4⋊C4×C29C2311yescharacteristic
90C2×C4⋊C4×C29C2311yescharacteristic
91C2×C22⋊C4×C29—21no—
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×C42×C29—21no—
98C2×C42×C29—21no—
99C2×C42×C29C2311yescharacteristic
100C2×C42×C29C2311yescharacteristic
101C2×C42×C29C2311yescharacteristic
102C29×#107—41no—
103C29×#106—22no—
104C29×C4⋊C8—41no—
105C29×#103—22no—
106C29×#103—41no—
107C29×#102—22no—
108C29×#102—22no—
109C29×#102—22no—
110C29×#102—41no—
111C29×#102—41no—
112C29×#102—41no—
113C4×C8×C29—41no—
114C29×#95—21no—
115C29×#95—21no—
116C29×#95—21no—
117C29×#95—21no—
118C29×#95—21no—
119C29×#95—21no—
120C29×#95—21no—
121C29×#95—21no—
122C29×#95—21no—
123C29×#95—21no—
124C29×#95—21no—
125C29×#95D411yescharacteristic
126C29×#95D411yescharacteristic
127C24×C29—21no—
128C24×C29—21no—
129C2×Q8×C29—21no—
130C2×Q8×C29—21no—
131C2×Q8×C29—21no—
132C2×Q8×C29—21no—
133C2×Q8×C29—21no—
134C2×Q8×C29—21no—
135C2×D4×C29—24no—
136C2×D4×C29—24no—
137C2×D4×C29—21no—
138C2×D4×C29—21no—
139C2×D4×C29—21no—
140C2×D4×C29—21no—
141C2×D4×C29—21no—
142C2×D4×C29—21no—
143C2×D4×C29—21no—
144C2×D4×C29—21no—
145C2×D4×C29—21no—
146C2×D4×C29—21no—
147C2×D4×C29—42no—
148C2×D4×C29—42no—
149C2×D4×C29—81no—
150C2×D4×C29—81no—
151C2×D4×C29#4112yes—
152C2×D4×C29#4112yes—
153C22×C4×C29—21no—
154C22×C4×C29—21no—
155C22×C4×C29—21no—
156C22×C4×C29—21no—
157C22×C4×C29—21no—
158C22×C4×C29—21no—
159C22×C4×C29—42no—
160C22×C4×C29—42no—
161C22×C4×C29—42no—
162C22×C4×C29—42no—
163C22×C4×C29—81no—
164C22×C4×C29—81no—
165C22×C4×C29C2×D411yescharacteristic
166C22×C4×C29C2×D411yescharacteristic
167C22×C4×C29C2×D411yescharacteristic
168C22×C4×C29C2×D411yescharacteristic
169C22×C4×C29C2×D411yescharacteristic
170C22×C4×C29C2×D411yescharacteristic
171C22×C4×C29C2411yescharacteristic
172SD16×C29—44no—
173SD16×C29—44no—
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×C29—21no—
183C2×C8×C29—21no—
184C2×C8×C29—21no—
185C2×C8×C29#4112yes—
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—42no—
198C4⋊C4×C29#4112yes—
199C22⋊C4×C29—42no—
200C22⋊C4×C29—42no—
201C22⋊C4×C29—42no—
202C22⋊C4×C29—42no—
203C22⋊C4×C29—81no—
204C22⋊C4×C29—81no—
205C42×C29—21no—
206C42×C29—21no—
207C42×C29—21no—
208C42×C29—21no—
209C42×C29—21no—
210C42×C29—21no—
211C42×C29—42no—
212C42×C29—42no—
213#27063C2911yesmaximal, characteristic, direct product factor, Sylow
214C23×C29—22no—
215C23×C29—22no—
216C23×C29—41no—
217C23×C29—41no—
218C23×C29—41no—
219C23×C29—41no—
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×C29C22×D411yescharacteristic
229Q8×C29—41no—
230Q8×C29—41no—
231Q8×C29—41no—
232Q8×C29—41no—
233D4×C29—22no—
234D4×C29—22no—
235D4×C29—22no—
236D4×C29—22no—
237D4×C29—48no—
238D4×C29—41no—
239D4×C29—41no—
240D4×C29—41no—
241D4×C29—41no—
242D4×C29—84no—
243C2×C4×C29—21no—
244C2×C4×C29—21no—
245C2×C4×C29—21no—
246C2×C4×C29—21no—
247C2×C4×C29—21no—
248C2×C4×C29—21no—
249C2×C4×C29—21no—
250C2×C4×C29—21no—
251C2×C4×C29—22no—
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—41no—
261C2×C4×C29—41no—
262C2×C4×C29—41no—
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—84no—
278C2×C4×C29—84no—
279C2×C4×C29#13512yes—
280C2×C4×C29AGL(1,ℤ/8)12yes—
281C2×C4×C29C2×#4111yescharacteristic
282C2×C4×C29C2×#4111yescharacteristic
283C2×C4×C29C2×#4111yescharacteristic
284C2×C4×C29C2×#4111yescharacteristic
285C2×C4×C29H(5,𝔽2)11yescharacteristic
286C2×C4×C29H(5,𝔽2)11yescharacteristic
287C8×C29—22no—
288C8×C29—41no—
289C8×C29—41no—
290C8×C29—41no—
291#2514C2×C2911yescharacteristic, complemented
292#2366C2×C2911yescharacteristic
293#2092C2×C2911yescharacteristic, complemented
294#2055C2×C2911yescharacteristic, complemented
295#2041C2×C2911yescharacteristic
296#2014C2×C2911yescharacteristic
297#1968C2×C2911yescharacteristic, complemented
298#1928C2×C2911yescharacteristic, complemented
299#1925C2×C2911yescharacteristic, complemented
300#1919C2×C2911yescharacteristic, complemented
301#1916C2×C2911yescharacteristic, complemented
302#1877C2×C2911yescharacteristic, complemented
303#1877C2×C2911yescharacteristic, complemented
304#1804C2×C2911yescharacteristic, complemented
305C4×#102C2×C2911yescharacteristic, complemented
306C22×C29—42no—
307C22×C29—42no—
308C22×C29—42no—
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#52511yescharacteristic
321C22×C29#54611yescharacteristic
322C22×C29#55011yescharacteristic
323C22×C29C2×#13511yescharacteristic
324C22×C29C2×AGL(1,ℤ/8)11yescharacteristic
325C22×C29#57711yescharacteristic
326C22×C29#57711yescharacteristic
327C4×C29—22no—
328C4×C29—22no—
329C4×C29—41no—
330C4×C29—41no—
331C4×C29—41no—
332C4×C29—41no—
333C4×C29—42no—
334C4×C29—81no—
335C4×C29—81no—
336C4×C29—81no—
337C4×C29—81no—
338C4×C29—81no—
339C4×C29#52911yescharacteristic
340C4×C29#53811yescharacteristic
341C4×C29#55111yescharacteristic
342C4×C29#55311yescharacteristic
343C22×SD16C22×C2911yescharacteristic
344C22×SD16C22×C2911yescharacteristic
345C2×#127C22×C2911yescharacteristic
346C2×C4×D4—21no—
347C2×C4×D4C22×C2911yescharacteristic
348C2×C4×D4C22×C2911yescharacteristic
349C2×#107C22×C2911yescharacteristic
350C2×#106C22×C2911yescharacteristic
351C2×C4⋊C8C22×C2911yescharacteristic
352C2×#103C22×C2911yescharacteristic
353C2×#103C22×C2911yescharacteristic
354C2×#102C22×C2911yescharacteristic
355C2×#102C22×C2911yescharacteristic
356C2×#102C22×C2911yescharacteristic
357C2×#102C22×C2911yescharacteristic
358C2×#102C22×C2911yescharacteristic
359C2×#102C22×C2911yescharacteristic
360C2×C4×C8C22×C2911yescharacteristic
361#401—21no—
362#400—21no—
363#391C22×C2911yescharacteristic
364#391C22×C2911yescharacteristic
365#391C22×C2911yescharacteristic
366#390—21no—
367#390C22×C2911yescharacteristic
368#390C22×C2911yescharacteristic
369#389C22×C2911yescharacteristic
370#387—21no—
371#386—21no—
372#386—21no—
373#383—21no—
374#382C22×C2911yescharacteristic
375C4×C4⋊C4C22×C2911yescharacteristic
376C4×C4⋊C4C22×C2911yescharacteristic
377C4×C4⋊C4C22×C2911yescharacteristic
378#340C22×C2911yescharacteristic
379#340C22×C2911yescharacteristic
380#340C22×C2911yescharacteristic
381#340C22×C2911yescharacteristic
382#336C22×C2911yescharacteristic
383#336C22×C2911yescharacteristic
384#336C22×C2911yescharacteristic
385#336C22×C2911yescharacteristic
386C2×C29—82no—
387C2×C29—82no—
388C2×C29#246711yescharacteristic
389C2×C29#310511yescharacteristic
390C2×C29#312311yescharacteristic
391C2×C29#330411yescharacteristic
392C2×C29#331011yescharacteristic
393C2×C29#339411yescharacteristic
394C2×C29#339711yescharacteristic
395C22×Q8C23×C2911yescharacteristic
396C22×D4—21no—
397C22×D4—21no—
398C22×D4C23×C2911yescharacteristic
399C22×D4C23×C2911yescharacteristic
400C23×C4—21no—
401C23×C4—21no—
402C2×SD16—22no—
403C2×SD16—22no—
404C2×SD16—22no—
405C2×SD16—41no—
406C2×SD16—41no—
407C2×SD16—41no—
408C22×C8C23×C2911yescharacteristic
409C22×C8C23×C2911yescharacteristic
410C22×C8C23×C2911yescharacteristic
411C22×C8C23×C2911yescharacteristic
412#127—22no—
413#127—22no—
414C4×D4—22no—
415C4×D4—22no—
416C4×D4—41no—
417C4×D4—41no—
418C4×D4—44no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4D4×C2911yescharacteristic
421C2×C4⋊C4D4×C2911yescharacteristic
422C2×C4⋊C4C23×C2911yescharacteristic
423C2×C4⋊C4C23×C2911yescharacteristic
424C2×C4⋊C4C23×C2911yescharacteristic
425C2×C4⋊C4C23×C2911yescharacteristic
426C2×C4⋊C4C23×C2911yescharacteristic
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C42—21no—
434C2×C42—21no—
435C2×C42C23×C2911yescharacteristic
436C2×C42C23×C2911yescharacteristic
437C2×C42C23×C2911yescharacteristic
438#107—41no—
439#106—22no—
440C4⋊C8—41no—
441#103—22no—
442#103—41no—
443#102—22no—
444#102—22no—
445#102—22no—
446#102—41no—
447#102—41no—
448#102—41no—
449C4×C8—41no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95D4×C2911yescharacteristic
462#95D4×C2911yescharacteristic
463C29#2706311yescharacteristic, direct product factor, Sylow
464C24—21no—
465C24—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×D4—24no—
473C2×D4—24no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—81no—
487C2×D4—81no—
488C2×D4#41×C2912yes—
489C2×D4#41×C2912yes—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—81no—
501C22×C4—81no—
502C22×C4C2×D4×C2911yescharacteristic
503C22×C4C2×D4×C2911yescharacteristic
504C22×C4C2×D4×C2911yescharacteristic
505C22×C4C2×D4×C2911yescharacteristic
506C22×C4C2×D4×C2911yescharacteristic
507C22×C4C2×D4×C2911yescharacteristic
508C22×C4C24×C2911yescharacteristic
509SD16—44no—
510SD16—44no—
511C2×C8—21no—
512C2×C8—21no—
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×C8#41×C2912yes—
523C4⋊C4—22no—
524C4⋊C4—22no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—42no—
535C4⋊C4#41×C2912yes—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—81no—
541C22⋊C4—81no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—42no—
549C42—42no—
550C23—22no—
551C23—22no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23C22×D4×C2911yescharacteristic
565Q8—41no—
566Q8—41no—
567Q8—41no—
568Q8—41no—
569D4—22no—
570D4—22no—
571D4—22no—
572D4—22no—
573D4—48no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—84no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—22no—
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—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
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—84no—
614C2×C4—84no—
615C2×C4C29×#13512yes—
616C2×C4C29×AGL(1,ℤ/8)12yes—
617C2×C4C2×#41×C2911yescharacteristic
618C2×C4C2×#41×C2911yescharacteristic
619C2×C4C2×#41×C2911yescharacteristic
620C2×C4C2×#41×C2911yescharacteristic
621C2×C4C29×H(5,𝔽2)11yescharacteristic
622C2×C4C29×H(5,𝔽2)11yescharacteristic
623C8—22no—
624C8—41no—
625C8—41no—
626C8—41no—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—42no—
631C22—42no—
632C22—42no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22C29×#52511yescharacteristic
642C22C29×#54611yescharacteristic
643C22C29×#55011yescharacteristic
644C22C2×C29×#13511yescharacteristic
645C22C2×C29×AGL(1,ℤ/8)11yescharacteristic
646C22C29×#57711yescharacteristic
647C22C29×#57711yescharacteristic
648C4—22no—
649C4—22no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—42no—
654C4—41no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4C29×#52911yescharacteristic
661C4C29×#53811yescharacteristic
662C4C29×#55111yescharacteristic
663C4C29×#55311yescharacteristic
664C2—82no—
665C2—82no—
666C2C29×#246711yescharacteristic
667C2C29×#310511yescharacteristic
668C2C29×#312311yescharacteristic
669C2C29×#330411yescharacteristic
670C2C29×#331011yescharacteristic
671C2C29×#339411yescharacteristic
672C2C29×#339711yescharacteristic
subgroupG/H
center, socleC23×C29C22×D4
commutator, Frattini, cosocleC22×C4C24×C29
prime radicalC2×C29×#127C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C29 ◁ C4×C4⋊C4×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#2514C2semidirect
3. C29×#2092C2semidirect
4. C29×#2055C2semidirect
7. C29×#1968C2semidirect
8. C29×#1928C2semidirect
9. C29×#1925C2semidirect
10. C29×#1919C2semidirect
11. C29×#1916C2semidirect
12. C29×#1877C2semidirect
13. C29×#1877C2semidirect
14. C29×#1804C2semidirect
15. C4×C29×#102C2semidirect
213. #27063C29direct (N × H)
291. #2514C2×C29semidirect
293. #2092C2×C29semidirect
294. #2055C2×C29semidirect
297. #1968C2×C29semidirect
298. #1928C2×C29semidirect
299. #1925C2×C29semidirect
300. #1919C2×C29semidirect
301. #1916C2×C29semidirect
302. #1877C2×C29semidirect
303. #1877C2×C29semidirect
304. #1804C2×C29semidirect
305. C4×#102C2×C29semidirect
463. C29#27063direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#25142
C29×#23662
C29×#20922
C29×#20552
C29×#20412
C29×#20142
C29×#19682
C29×#19282
C29×#19252
C29×#19192
C29×#19162
C29×#18772
C29×#18042
C4×C29×#1022
#2706329