Finite Group Databasebeta

← C29×#14893 #20309793

Subgroups — C29×#14893 #20309793

Order 7424.

1830 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C29×#117C211yesmaximal, characteristic
2C2×C29×#400C211yesmaximal, characteristic, complemented
3C2×C29×#399C211yesmaximal, characteristic
4C2×C29×#389C211yesmaximal, characteristic, complemented
5C29×#1444C212yesmaximal, complemented
6C29×#1441C211yesmaximal, characteristic, complemented
7C29×#1439C212yesmaximal
8C29×#1439C211yesmaximal, characteristic
9C29×#1436C212yesmaximal, complemented
10C29×#1434C211yesmaximal, characteristic, complemented
11C29×C22⋊#95C212yesmaximal
12C24×C4×C29C2211yescharacteristic
13C2×C29×#117—24no—
14C2×C29×#117—24no—
15C2×C29×#117—24no—
16C22×C4⋊C4×C29C2211yescharacteristic
17C22×C4⋊C4×C29C2211yescharacteristic
18C22×C4⋊C4×C29C2211yescharacteristic
19C22×C4⋊C4×C29C2212yes—
20C22×C4⋊C4×C29C2211yescharacteristic
21C22×C4⋊C4×C29C2212yes—
22C22×C22⋊C4×C29C2211yescharacteristic
23C22×C22⋊C4×C29C2212yes—
24C22×C22⋊C4×C29C2212yes—
25C22×C22⋊C4×C29C2211yescharacteristic
26C22×C42×C29C2211yescharacteristic
27C22×C42×C29C2211yescharacteristic
28C29×#400—24no—
29C29×#399—24no—
30C29×#389—24no—
31C2×C29×#95C2212yes—
32C2×C29×#95C2212yes—
33C2×C29×#95C2212yes—
34C2×C29×#95C2212yes—
35C2×C29×#95C2212yes—
36C2×C29×#95C2211yescharacteristic
37C2×C29×#95C2211yescharacteristic
38C2×C29×#95C2212yes—
39C2×C29×#95C2212yes—
40C2×C29×#95C2212yes—
41C25×C29C2311yescharacteristic
42C23×C4×C29—22no—
43C23×C4×C29—22no—
44C23×C4×C29—22no—
45C23×C4×C29—22no—
46C23×C4×C29—22no—
47C23×C4×C29—22no—
48C23×C4×C29Q814yes—
49C23×C4×C29C2312yes—
50C23×C4×C29C2312yes—
51C23×C4×C29C2311yescharacteristic
52C23×C4×C29C2311yescharacteristic
53C23×C4×C29C2311yescharacteristic
54C23×C4×C29C2312yes—
55C23×C4×C29C2312yes—
56C23×C4×C29C2311yescharacteristic
57C23×C4×C29C2311yescharacteristic
58C23×C4×C29C2311yescharacteristic
59C29×#117—232no—
60C2×C4⋊C4×C29—22no—
61C2×C4⋊C4×C29—22no—
62C2×C4⋊C4×C29—22no—
63C2×C4⋊C4×C29—22no—
64C2×C4⋊C4×C29—22no—
65C2×C4⋊C4×C29—22no—
66C2×C4⋊C4×C29—24no—
67C2×C4⋊C4×C29—24no—
68C2×C4⋊C4×C29—22no—
69C2×C4⋊C4×C29—24no—
70C2×C4⋊C4×C29—22no—
71C2×C4⋊C4×C29—22no—
72C2×C4⋊C4×C29—24no—
73C2×C4⋊C4×C29—42no—
74C2×C4⋊C4×C29—42no—
75C2×C4⋊C4×C29—42no—
76C2×C4⋊C4×C29D414yes—
77C2×C22⋊C4×C29—22no—
78C2×C22⋊C4×C29—22no—
79C2×C22⋊C4×C29—22no—
80C2×C22⋊C4×C29—22no—
81C2×C22⋊C4×C29—22no—
82C2×C22⋊C4×C29—24no—
83C2×C22⋊C4×C29—24no—
84C2×C22⋊C4×C29—24no—
85C2×C22⋊C4×C29—24no—
86C2×C22⋊C4×C29—42no—
87C2×C22⋊C4×C29—42no—
88C2×C22⋊C4×C29D414yes—
89C2×C42×C29—22no—
90C2×C42×C29—22no—
91C2×C42×C29—22no—
92C2×C42×C29—22no—
93C2×C42×C29—22no—
94C2×C42×C29D414yes—
95C29×#95—24no—
96C29×#95—22no—
97C29×#95—24no—
98C29×#95—24no—
99C29×#95—22no—
100C29×#95—24no—
101C29×#95—24no—
102C29×#95—24no—
103C29×#95—24no—
104C29×#95—42no—
105C24×C29—21no—
106C24×C29—21no—
107C24×C29—22no—
108C24×C29—22no—
109C24×C29—21no—
110C24×C29—21no—
111C24×C29—22no—
112C24×C29—22no—
113C24×C29C2×D412yes—
114C24×C29C2×Q812yes—
115C24×C29#4112yes—
116C24×C29C2411yescharacteristic
117C22×C4×C29—28no—
118C22×C4×C29—28no—
119C22×C4×C29—28no—
120C22×C4×C29—28no—
121C22×C4×C29—28no—
122C22×C4×C29—21no—
123C22×C4×C29—21no—
124C22×C4×C29—21no—
125C22×C4×C29—21no—
126C22×C4×C29—22no—
127C22×C4×C29—21no—
128C22×C4×C29—21no—
129C22×C4×C29—21no—
130C22×C4×C29—21no—
131C22×C4×C29—22no—
132C22×C4×C29—28no—
133C22×C4×C29—28no—
134C22×C4×C29—21no—
135C22×C4×C29—21no—
136C22×C4×C29—21no—
137C22×C4×C29—21no—
138C22×C4×C29—21no—
139C22×C4×C29—21no—
140C22×C4×C29—22no—
141C22×C4×C29—22no—
142C22×C4×C29—22no—
143C22×C4×C29—22no—
144C22×C4×C29—22no—
145C22×C4×C29—22no—
146C22×C4×C29—22no—
147C22×C4×C29—22no—
148C22×C4×C29—22no—
149C22×C4×C29—22no—
150C22×C4×C29—22no—
151C22×C4×C29—22no—
152C22×C4×C29—22no—
153C22×C4×C29—22no—
154C22×C4×C29—22no—
155C22×C4×C29—22no—
156C22×C4×C29—22no—
157C22×C4×C29—22no—
158C22×C4×C29—22no—
159C22×C4×C29—22no—
160C22×C4×C29—22no—
161C22×C4×C29—22no—
162C22×C4×C29—22no—
163C22×C4×C29—22no—
164C22×C4×C29—22no—
165C22×C4×C29—22no—
166C22×C4×C29—22no—
167C22×C4×C29—22no—
168C22×C4×C29—22no—
169C22×C4×C29—22no—
170C22×C4×C29—22no—
171C22×C4×C29—22no—
172C22×C4×C29C2×D412yes—
173C22×C4×C29C2×D412yes—
174C22×C4×C29C2×D412yes—
175C22×C4×C29C2×D412yes—
176C22×C4×C29C2×D412yes—
177C22×C4×C29C2×D412yes—
178C22×C4×C29C2×D412yes—
179C22×C4×C29C2×D412yes—
180C22×C4×C29C2×Q812yes—
181C22×C4×C29C2×Q812yes—
182C22×C4×C29#4114yes—
183C22×C4×C29#4114yes—
184C22×C4×C29#4112yes—
185C22×C4×C29#4112yes—
186C4⋊C4×C29—28no—
187C4⋊C4×C29—28no—
188C4⋊C4×C29—28no—
189C4⋊C4×C29—48no—
190C4⋊C4×C29—48no—
191C4⋊C4×C29—44no—
192C22⋊C4×C29—28no—
193C22⋊C4×C29—28no—
194C22⋊C4×C29—48no—
195C22⋊C4×C29—48no—
196C42×C29—28no—
197C42×C29—28no—
198#14893C2911yesmaximal, characteristic, direct product factor, Sylow
199C23×C29—22no—
200C23×C29—22no—
201C23×C29—22no—
202C23×C29—22no—
203C23×C29—22no—
204C23×C29—22no—
205C23×C29—24no—
206C23×C29—24no—
207C23×C29—24no—
208C23×C29—24no—
209C23×C29—24no—
210C23×C29—24no—
211C23×C29—41no—
212C23×C29—42no—
213C23×C29—41no—
214C23×C29—41no—
215C23×C29—41no—
216C23×C29—42no—
217C23×C29—42no—
218C23×C29—42no—
219C23×C29—42no—
220C23×C29—42no—
221C23×C29C22⋊Q814yes—
222C23×C29C22×D411yescharacteristic
223C23×C29C22×D411yescharacteristic
224C23×C29C22×D411yescharacteristic
225C23×C29C22×Q811yescharacteristic
226C23×C29C2×#4111yescharacteristic
227C23×C29C2×#4111yescharacteristic
228C23×C29C2×#4111yescharacteristic
229C23×C29C2×#4112yes—
230C23×C29C2×#4112yes—
231C23×C29H(5,𝔽2)12yes—
232C23×C292−1+412yes—
233C2×C4×C29—232no—
234C2×C4×C29—22no—
235C2×C4×C29—22no—
236C2×C4×C29—22no—
237C2×C4×C29—22no—
238C2×C4×C29—22no—
239C2×C4×C29—22no—
240C2×C4×C29—22no—
241C2×C4×C29—22no—
242C2×C4×C29—22no—
243C2×C4×C29—22no—
244C2×C4×C29—22no—
245C2×C4×C29—22no—
246C2×C4×C29—22no—
247C2×C4×C29—22no—
248C2×C4×C29—24no—
249C2×C4×C29—24no—
250C2×C4×C29—22no—
251C2×C4×C29—22no—
252C2×C4×C29—22no—
253C2×C4×C29—24no—
254C2×C4×C29—24no—
255C2×C4×C29—22no—
256C2×C4×C29—22no—
257C2×C4×C29—24no—
258C2×C4×C29—24no—
259C2×C4×C29—24no—
260C2×C4×C29—24no—
261C2×C4×C29—24no—
262C2×C4×C29—24no—
263C2×C4×C29—42no—
264C2×C4×C29—41no—
265C2×C4×C29—42no—
266C2×C4×C29—41no—
267C2×C4×C29—42no—
268C2×C4×C29—41no—
269C2×C4×C29—41no—
270C2×C4×C29—42no—
271C2×C4×C29—42no—
272C2×C4×C29—42no—
273C2×C4×C29—42no—
274C2×C4×C29—42no—
275C2×C4×C29—42no—
276C2×C4×C29—42no—
277C2×C4×C29—42no—
278C2×C4×C29—42no—
279C2×C4×C29—42no—
280C2×C4×C29—42no—
281C2×C4×C29—42no—
282C2×C4×C29—42no—
283C2×C4×C29—42no—
284C2×C4×C29—42no—
285C2×C4×C29—42no—
286C2×C4×C29—42no—
287C2×C4×C29—42no—
288C2×C4×C29—42no—
289C2×C4×C29—42no—
290C2×C4×C29—42no—
291C2×C4×C29—42no—
292C2×C4×C29—42no—
293C2×C4×C29#12014yes—
294C2×C4×C29C22⋊Q814yes—
295C2×C4×C29C22⋊Q814yes—
296C22×#117C2×C2911yescharacteristic
297C2×#400C2×C2911yescharacteristic, complemented
298C2×#399C2×C2911yescharacteristic
299C2×#389C2×C2911yescharacteristic, complemented
300#1444C2×C2912yescomplemented
301#1441C2×C2911yescharacteristic, complemented
302#1439C2×C2912yes—
303#1439C2×C2911yescharacteristic
304#1436C2×C2912yescomplemented
305#1434C2×C2911yescharacteristic, complemented
306C22⋊#95C2×C2912yes—
307C22×C29—24no—
308C22×C29—28no—
309C22×C29—42no—
310C22×C29—42no—
311C22×C29—42no—
312C22×C29—42no—
313C22×C29—42no—
314C22×C29—42no—
315C22×C29—44no—
316C22×C29—44no—
317C22×C29—44no—
318C22×C29C2×#12011yescharacteristic
319C22×C29C2×C22⋊Q811yescharacteristic
320C22×C29C2×C22⋊Q811yescharacteristic
321C22×C29C2×C22⋊Q811yescharacteristic
322C22×C29#52511yescharacteristic
323C22×C29#52511yescharacteristic
324C22×C29#52511yescharacteristic
325C22×C29#52511yescharacteristic
326C22×C29#52912yes—
327C22×C29#53211yescharacteristic
328C22×C29#53312yes—
329C22×C29#53511yescharacteristic
330C22×C29#53611yescharacteristic
331C22×C29#54212yes—
332C22×C29#54412yes—
333C22×C29#54612yes—
334C22×C29#54712yes—
335C22×C29#54712yes—
336C22×C29#55012yes—
337C22×C29#55112yes—
338C22×C29#55212yes—
339C22×C29#55212yes—
340C22×C29#55312yes—
341C4×C29—24no—
342C4×C29—24no—
343C4×C29—24no—
344C4×C29—44no—
345C4×C29—42no—
346C4×C29—42no—
347C4×C29—42no—
348C4×C29—44no—
349C4×C29—82no—
350C4×C29—82no—
351C24×C4C22×C2911yescharacteristic
352C2×#117—24no—
353C2×#117—24no—
354C2×#117—24no—
355C22×C4⋊C4C22×C2911yescharacteristic
356C22×C4⋊C4C22×C2911yescharacteristic
357C22×C4⋊C4C22×C2911yescharacteristic
358C22×C4⋊C4C22×C2912yes—
359C22×C4⋊C4C22×C2911yescharacteristic
360C22×C4⋊C4C22×C2912yes—
361C22×C22⋊C4C22×C2911yescharacteristic
362C22×C22⋊C4C22×C2912yes—
363C22×C22⋊C4C22×C2912yes—
364C22×C22⋊C4C22×C2911yescharacteristic
365C22×C42C22×C2911yescharacteristic
366C22×C42C22×C2911yescharacteristic
367#400—24no—
368#399—24no—
369#389—24no—
370C2×#95C22×C2911yescharacteristic
371C2×#95C22×C2912yes—
372C2×#95C22×C2911yescharacteristic
373C2×#95C22×C2912yes—
374C2×#95C22×C2912yes—
375C2×#95C22×C2912yes—
376C2×#95C22×C2912yes—
377C2×#95C22×C2912yes—
378C2×#95C22×C2912yes—
379C2×#95C22×C2912yes—
380C2×C29—44no—
381C2×C29#239611yescharacteristic
382C2×C29#240611yescharacteristic
383C2×C29#243111yescharacteristic
384C2×C29#243812yes—
385C2×C29#244112yes—
386C2×C29#247012yes—
387C2×C29#247912yes—
388C2×C29#259811yescharacteristic
389C2×C29#261111yescharacteristic
390C2×C29#262811yescharacteristic
391C2×C29#284811yescharacteristic
392C25C23×C2911yescharacteristic
393C23×C4—22no—
394C23×C4—22no—
395C23×C4—22no—
396C23×C4—22no—
397C23×C4—22no—
398C23×C4—22no—
399C23×C4Q8×C2914yes—
400C23×C4C23×C2912yes—
401C23×C4C23×C2912yes—
402C23×C4C23×C2911yescharacteristic
403C23×C4C23×C2911yescharacteristic
404C23×C4C23×C2911yescharacteristic
405C23×C4C23×C2912yes—
406C23×C4C23×C2912yes—
407C23×C4C23×C2911yescharacteristic
408C23×C4C23×C2911yescharacteristic
409C23×C4C23×C2911yescharacteristic
410#117—232no—
411C2×C4⋊C4—22no—
412C2×C4⋊C4—22no—
413C2×C4⋊C4—22no—
414C2×C4⋊C4—22no—
415C2×C4⋊C4—22no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—24no—
419C2×C4⋊C4—22no—
420C2×C4⋊C4—24no—
421C2×C4⋊C4—22no—
422C2×C4⋊C4—22no—
423C2×C4⋊C4—24no—
424C2×C4⋊C4—42no—
425C2×C4⋊C4—42no—
426C2×C4⋊C4—42no—
427C2×C4⋊C4D4×C2914yes—
428C2×C22⋊C4—22no—
429C2×C22⋊C4—22no—
430C2×C22⋊C4—22no—
431C2×C22⋊C4—22no—
432C2×C22⋊C4—22no—
433C2×C22⋊C4—24no—
434C2×C22⋊C4—24no—
435C2×C22⋊C4—24no—
436C2×C22⋊C4—24no—
437C2×C22⋊C4—42no—
438C2×C22⋊C4—42no—
439C2×C22⋊C4D4×C2914yes—
440C2×C42—22no—
441C2×C42—22no—
442C2×C42—22no—
443C2×C42—22no—
444C2×C42—22no—
445C2×C42D4×C2914yes—
446#95—24no—
447#95—22no—
448#95—22no—
449#95—24no—
450#95—24no—
451#95—24no—
452#95—24no—
453#95—24no—
454#95—24no—
455#95—42no—
456C29#1489311yescharacteristic, direct product factor, Sylow
457C24—21no—
458C24—21no—
459C24—22no—
460C24—22no—
461C24—21no—
462C24—21no—
463C24—22no—
464C24—22no—
465C24C2×D4×C2912yes—
466C24C2×Q8×C2912yes—
467C24#41×C2912yes—
468C24C24×C2911yescharacteristic
469C22×C4—28no—
470C22×C4—28no—
471C22×C4—28no—
472C22×C4—28no—
473C22×C4—28no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—28no—
485C22×C4—28no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4C2×D4×C2912yes—
525C22×C4C2×D4×C2912yes—
526C22×C4C2×D4×C2912yes—
527C22×C4C2×D4×C2912yes—
528C22×C4C2×D4×C2912yes—
529C22×C4C2×D4×C2912yes—
530C22×C4C2×D4×C2912yes—
531C22×C4C2×D4×C2912yes—
532C22×C4C2×Q8×C2912yes—
533C22×C4C2×Q8×C2912yes—
534C22×C4#41×C2914yes—
535C22×C4#41×C2914yes—
536C22×C4#41×C2912yes—
537C22×C4#41×C2912yes—
538C4⋊C4—28no—
539C4⋊C4—28no—
540C4⋊C4—28no—
541C4⋊C4—48no—
542C4⋊C4—48no—
543C4⋊C4—44no—
544C22⋊C4—28no—
545C22⋊C4—28no—
546C22⋊C4—48no—
547C22⋊C4—48no—
548C42—28no—
549C42—28no—
550C23—22no—
551C23—22no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—22no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—41no—
563C23—42no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23C29×C22⋊Q814yes—
573C23C22×D4×C2911yescharacteristic
574C23C22×D4×C2911yescharacteristic
575C23C22×D4×C2911yescharacteristic
576C23C22×Q8×C2911yescharacteristic
577C23C2×#41×C2911yescharacteristic
578C23C2×#41×C2911yescharacteristic
579C23C2×#41×C2911yescharacteristic
580C23C2×#41×C2912yes—
581C23C2×#41×C2912yes—
582C23C29×H(5,𝔽2)12yes—
583C23C29×2−1+412yes—
584C2×C4—232no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4C29×#12014yes—
645C2×C4C29×C22⋊Q814yes—
646C2×C4C29×C22⋊Q814yes—
647C22—28no—
648C22—24no—
649C22—42no—
650C22—44no—
651C22—44no—
652C22—44no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22C2×C29×#12011yescharacteristic
659C22C2×C29×C22⋊Q811yescharacteristic
660C22C2×C29×C22⋊Q811yescharacteristic
661C22C2×C29×C22⋊Q811yescharacteristic
662C22C29×#52511yescharacteristic
663C22C29×#52511yescharacteristic
664C22C29×#52511yescharacteristic
665C22C29×#52511yescharacteristic
666C22C29×#52912yes—
667C22C29×#53211yescharacteristic
668C22C29×#53312yes—
669C22C29×#53511yescharacteristic
670C22C29×#53611yescharacteristic
671C22C29×#54212yes—
672C22C29×#54412yes—
673C22C29×#54612yes—
674C22C29×#54712yes—
675C22C29×#54712yes—
676C22C29×#55012yes—
677C22C29×#55112yes—
678C22C29×#55212yes—
679C22C29×#55212yes—
680C22C29×#55312yes—
681C4—24no—
682C4—24no—
683C4—24no—
684C4—42no—
685C4—42no—
686C4—44no—
687C4—44no—
688C4—42no—
689C4—82no—
690C4—82no—
691C2—44no—
692C2C29×#239611yescharacteristic
693C2C29×#240611yescharacteristic
694C2C29×#243111yescharacteristic
695C2C29×#243812yes—
696C2C29×#244112yes—
697C2C29×#247012yes—
698C2C29×#247912yes—
699C2C29×#259811yescharacteristic
700C2C29×#261111yescharacteristic
701C2C29×#262811yescharacteristic
702C2C29×#284811yescharacteristic
subgroupG/H
center, socleC24×C29C24
commutator, Frattini, cosocleC24C24×C29
prime radicalC25×C29C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C29 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C29×#400C2semidirect
4. C2×C29×#389C2semidirect
5. C29×#1444C2semidirect
6. C29×#1441C2semidirect
9. C29×#1436C2semidirect
10. C29×#1434C2semidirect
198. #14893C29direct (N × H)
297. C2×#400C2×C29semidirect
299. C2×#389C2×C29semidirect
300. #1444C2×C29semidirect
301. #1441C2×C29semidirect
304. #1436C2×C29semidirect
305. #1434C2×C29semidirect
456. C29#14893direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C29×#1172
C2×C29×#4002
C2×C29×#3992
C2×C29×#3892
C29×#14442
C29×#14412
C29×#14392
C29×#14362
C29×#14342
C29×C22⋊#952
#1489329