Finite Group Databasebeta

← C29×#25222 #20320122

Subgroups — C29×#25222 #20320122

Order 7424.

858 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C29×#485C211yesmaximal, characteristic, complemented
2C2×C29×#468C211yesmaximal, characteristic
3C29×#2500C211yesmaximal, characteristic
4C29×#2360C211yesmaximal, characteristic, complemented
5C29×#2083C211yesmaximal, characteristic, complemented
6C29×#2074C211yesmaximal, characteristic, complemented
7C29×#2065C211yesmaximal, characteristic, complemented
8C29×#2055C211yesmaximal, characteristic, complemented
9C29×#1949C211yesmaximal, characteristic, complemented
10C29×#1925C211yesmaximal, characteristic, complemented
11C29×#1880C211yesmaximal, characteristic, complemented
12C29×#1874C211yesmaximal, characteristic
13C29×#1851C211yesmaximal, characteristic, complemented
14C29×#1803C211yesmaximal, characteristic, complemented
15C29×#1736C211yesmaximal, characteristic, complemented
16C22×SD16×C29C2211yescharacteristic
17C22×M16×C29C2211yescharacteristic
18C2×C29×C22⋊Q8C2211yescharacteristic
19C2×C29×#121C2211yescharacteristic
20C2×C4×Q8×C29C2211yescharacteristic
21C2×C29×#117C2211yescharacteristic
22C22×C4⋊C4×C29C2211yescharacteristic
23C29×#485—24no—
24C29×#468—24no—
25C2×C29×#107C2211yescharacteristic
26C2×C29×#107C2211yescharacteristic
27C2×C29×#106C2211yescharacteristic
28C2×C29×C4⋊C8C2211yescharacteristic
29C2×C29×C4⋊C8C2211yescharacteristic
30C2×C29×#103C2211yescharacteristic
31C2×C29×#103C2211yescharacteristic
32C2×C29×#103C2211yescharacteristic
33C2×C29×#102C2211yescharacteristic
34C2×C29×#102C2211yescharacteristic
35C2×C29×#102C2211yescharacteristic
36C2×C29×C22⋊C8C2211yescharacteristic
37C29×#394—21no—
38C29×#394—21no—
39C29×#391C2211yescharacteristic
40C29×#390C2211yescharacteristic
41C29×#390C2211yescharacteristic
42C29×#389—21no—
43C29×#389C2211yescharacteristic
44C29×#388—21no—
45C29×#388—21no—
46C29×#387—21no—
47C29×#385—21no—
48C29×#384C2211yescharacteristic
49C29×#382C2211yescharacteristic
50C4×C4⋊C4×C29C2211yescharacteristic
51C4×C22⋊C4×C29—21no—
52C4×C22⋊C4×C29C2211yescharacteristic
53C29×#340C2211yescharacteristic
54C29×#340C2211yescharacteristic
55C29×#340C2211yescharacteristic
56C29×#340C2211yescharacteristic
57C29×#340C2211yescharacteristic
58C29×#340C2211yescharacteristic
59C29×#336C2211yescharacteristic
60C29×#336C2211yescharacteristic
61C22×Q8×C29C2311yescharacteristic
62C22×D4×C29—21no—
63C22×D4×C29C2311yescharacteristic
64C23×C4×C29—21no—
65C23×C4×C29C2311yescharacteristic
66C2×SD16×C29—22no—
67C2×SD16×C29—22no—
68C2×SD16×C29—41no—
69C2×M16×C29—22no—
70C2×M16×C29—22no—
71C2×M16×C29—41no—
72C22×C8×C29C2311yescharacteristic
73C22×C8×C29C2311yescharacteristic
74C22×C8×C29C2311yescharacteristic
75C22×C8×C29C2311yescharacteristic
76C29×C22⋊Q8—22no—
77C29×C22⋊Q8D414yes—
78C29×#121—22no—
79C29×#121—22no—
80C4×Q8×C29—22no—
81C4×Q8×C29—41no—
82C29×#117—22no—
83C29×#117—22no—
84C2×C4⋊C4×C29—21no—
85C2×C4⋊C4×C29—22no—
86C2×C4⋊C4×C29—21no—
87C2×C4⋊C4×C29—21no—
88C2×C4⋊C4×C29—21no—
89C2×C4⋊C4×C29—21no—
90C2×C4⋊C4×C29—21no—
91C2×C4⋊C4×C29—41no—
92C2×C4⋊C4×C29C2311yescharacteristic
93C2×C4⋊C4×C29C2311yescharacteristic
94C2×C4⋊C4×C29C2311yescharacteristic
95C2×C4⋊C4×C29C2311yescharacteristic
96C2×C4⋊C4×C29C2311yescharacteristic
97C2×C4⋊C4×C29C2311yescharacteristic
98C2×C22⋊C4×C29—21no—
99C2×C22⋊C4×C29—21no—
100C2×C22⋊C4×C29—21no—
101C2×C22⋊C4×C29—21no—
102C2×C22⋊C4×C29—21no—
103C2×C22⋊C4×C29—21no—
104C2×C22⋊C4×C29—21no—
105C2×C22⋊C4×C29D411yescharacteristic
106C2×C22⋊C4×C29D411yescharacteristic
107C2×C42×C29—21no—
108C2×C42×C29—21no—
109C2×C42×C29—21no—
110C2×C42×C29C2311yescharacteristic
111C2×C42×C29C2311yescharacteristic
112C29×#107—22no—
113C29×#107—22no—
114C29×#106—22no—
115C29×C4⋊C8—22no—
116C29×C4⋊C8—41no—
117C29×#103—22no—
118C29×#103—22no—
119C29×#103—22no—
120C29×#102—22no—
121C29×#102—22no—
122C29×#102—41no—
123C29×C22⋊C8—22no—
124C29×#95—21no—
125C29×#95—21no—
126C29×#95—21no—
127C29×#95—21no—
128C29×#95—21no—
129C29×#95—21no—
130C29×#95D411yescharacteristic
131C29×#95D411yescharacteristic
132C24×C29—21no—
133C24×C29C2×D411yescharacteristic
134C2×Q8×C29—21no—
135C2×Q8×C29—21no—
136C2×Q8×C29—21no—
137C2×Q8×C29—21no—
138C2×Q8×C29—21no—
139C2×Q8×C29C2×D412yes—
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—42no—
147C2×D4×C29—81no—
148C2×D4×C29—81no—
149C22×C4×C29—21no—
150C22×C4×C29—21no—
151C22×C4×C29—21no—
152C22×C4×C29—21no—
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—21no—
160C22×C4×C29—42no—
161C22×C4×C29—42no—
162C22×C4×C29—81no—
163C22×C4×C29C2×D411yescharacteristic
164C22×C4×C29C2×D411yescharacteristic
165C22×C4×C29C2×D411yescharacteristic
166C22×C4×C29C2×D411yescharacteristic
167C22×C4×C29C2×D412yes—
168C22×C4×C29C2×D411yescharacteristic
169C22×C4×C29#4112yes—
170C22×C4×C29C2411yescharacteristic
171SD16×C29—44no—
172M16×C29—44no—
173C2×C8×C29—21no—
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#4112yes—
185C4⋊C4×C29—24no—
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×C29—21no—
194C4⋊C4×C29—21no—
195C4⋊C4×C29—21no—
196C4⋊C4×C29—42no—
197C4⋊C4×C29—42no—
198C4⋊C4×C29—81no—
199C4⋊C4×C29—81no—
200C4⋊C4×C29—81no—
201C4⋊C4×C29C2×D412yes—
202C4⋊C4×C29#4112yes—
203C22⋊C4×C29—24no—
204C22⋊C4×C29—22no—
205C22⋊C4×C29—41no—
206C22⋊C4×C29—42no—
207C22⋊C4×C29—42no—
208C22⋊C4×C29—42no—
209C22⋊C4×C29—42no—
210C22⋊C4×C29—81no—
211C22⋊C4×C29—81no—
212C42×C29—21no—
213C42×C29—21no—
214C42×C29—21no—
215C42×C29—21no—
216C42×C29—42no—
217C42×C29—42no—
218C42×C29—81no—
219#25222C2911yesmaximal, characteristic, direct product factor, Sylow
220C23×C29—21no—
221C23×C29—21no—
222C23×C29—21no—
223C23×C29—21no—
224C23×C29—21no—
225C23×C29—21no—
226C23×C29—41no—
227C23×C29—41no—
228C23×C29—41no—
229C23×C29—41no—
230C23×C29—41no—
231C23×C29—41no—
232C23×C29—41no—
233C23×C29#12112yes—
234C23×C29C22×D411yescharacteristic
235Q8×C29—22no—
236Q8×C29—22no—
237Q8×C29—41no—
238Q8×C29—41no—
239D4×C29—41no—
240D4×C29—41no—
241D4×C29—41no—
242D4×C29—41no—
243D4×C29—84no—
244C2×C4×C29—21no—
245C2×C4×C29—21no—
246C2×C4×C29—21no—
247C2×C4×C29—21no—
248C2×C4×C29—22no—
249C2×C4×C29—22no—
250C2×C4×C29—22no—
251C2×C4×C29—22no—
252C2×C4×C29—22no—
253C2×C4×C29—22no—
254C2×C4×C29—21no—
255C2×C4×C29—22no—
256C2×C4×C29—21no—
257C2×C4×C29—21no—
258C2×C4×C29—21no—
259C2×C4×C29—21no—
260C2×C4×C29—21no—
261C2×C4×C29—21no—
262C2×C4×C29—21no—
263C2×C4×C29—21no—
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—41no—
278C2×C4×C29—41no—
279C2×C4×C29—41no—
280C2×C4×C29—41no—
281C2×C4×C29—41no—
282C2×C4×C29—84no—
283C2×C4×C29#12112yes—
284C2×C4×C29#13712yes—
285C2×C4×C29C22×D411yescharacteristic
286C2×C4×C29C2×#4111yescharacteristic
287C2×C4×C29C2×#4111yescharacteristic
288C2×C4×C29C2×#4111yescharacteristic
289C2×C4×C29H(5,𝔽2)11yescharacteristic
290C2×C4×C292−1+411yescharacteristic
291C8×C29—22no—
292C8×C29—41no—
293C8×C29—41no—
294C8×C29—41no—
295C2×#485C2×C2911yescharacteristic, complemented
296C2×#468C2×C2911yescharacteristic
297#2500C2×C2911yescharacteristic
298#2360C2×C2911yescharacteristic, complemented
299#2083C2×C2911yescharacteristic, complemented
300#2074C2×C2911yescharacteristic, complemented
301#2065C2×C2911yescharacteristic, complemented
302#2055C2×C2911yescharacteristic, complemented
303#1949C2×C2911yescharacteristic, complemented
304#1925C2×C2911yescharacteristic, complemented
305#1880C2×C2911yescharacteristic, complemented
306#1874C2×C2911yescharacteristic
307#1851C2×C2911yescharacteristic, complemented
308#1803C2×C2911yescharacteristic, complemented
309#1736C2×C2911yescharacteristic, complemented
310C22×C29—22no—
311C22×C29—22no—
312C22×C29—22no—
313C22×C29—41no—
314C22×C29—41no—
315C22×C29—41no—
316C22×C29—41no—
317C22×C29—81no—
318C22×C29—81no—
319C22×C29—81no—
320C22×C29—81no—
321C22×C29—81no—
322C22×C29—81no—
323C22×C29—81no—
324C22×C29C2×#12111yescharacteristic
325C22×C29#54611yescharacteristic
326C22×C29#54711yescharacteristic
327C22×C29C2×#13711yescharacteristic
328C22×C29#57511yescharacteristic
329C22×C29#57611yescharacteristic
330C22×C29#57711yescharacteristic
331C4×C29—22no—
332C4×C29—22no—
333C4×C29—41no—
334C4×C29—41no—
335C4×C29—42no—
336C4×C29—42no—
337C4×C29—41no—
338C4×C29—42no—
339C4×C29—81no—
340C4×C29—81no—
341C4×C29—81no—
342C4×C29—81no—
343C4×C29#52911yescharacteristic
344C4×C29#53911yescharacteristic
345C4×C29#54611yescharacteristic
346C4×C29#54711yescharacteristic
347C22×SD16C22×C2911yescharacteristic
348C22×M16C22×C2911yescharacteristic
349C2×C22⋊Q8C22×C2911yescharacteristic
350C2×#121C22×C2911yescharacteristic
351C2×C4×Q8C22×C2911yescharacteristic
352C2×#117C22×C2911yescharacteristic
353C22×C4⋊C4C22×C2911yescharacteristic
354#485—24no—
355#468—24no—
356C2×#107C22×C2911yescharacteristic
357C2×#107C22×C2911yescharacteristic
358C2×#106C22×C2911yescharacteristic
359C2×C4⋊C8C22×C2911yescharacteristic
360C2×C4⋊C8C22×C2911yescharacteristic
361C2×#103C22×C2911yescharacteristic
362C2×#103C22×C2911yescharacteristic
363C2×#103C22×C2911yescharacteristic
364C2×#102C22×C2911yescharacteristic
365C2×#102C22×C2911yescharacteristic
366C2×#102C22×C2911yescharacteristic
367C2×C22⋊C8C22×C2911yescharacteristic
368#394—21no—
369#394—21no—
370#391C22×C2911yescharacteristic
371#390C22×C2911yescharacteristic
372#390C22×C2911yescharacteristic
373#389—21no—
374#389C22×C2911yescharacteristic
375#388—21no—
376#388—21no—
377#387—21no—
378#385—21no—
379#384C22×C2911yescharacteristic
380#382C22×C2911yescharacteristic
381C4×C4⋊C4C22×C2911yescharacteristic
382C4×C22⋊C4—21no—
383C4×C22⋊C4C22×C2911yescharacteristic
384#340C22×C2911yescharacteristic
385#340C22×C2911yescharacteristic
386#340C22×C2911yescharacteristic
387#340C22×C2911yescharacteristic
388#340C22×C2911yescharacteristic
389#340C22×C2911yescharacteristic
390#336C22×C2911yescharacteristic
391#336C22×C2911yescharacteristic
392C2×C29—42no—
393C2×C29—161no—
394C2×C29#242511yescharacteristic
395C2×C29#303711yescharacteristic
396C2×C29#304511yescharacteristic
397C2×C29#332011yescharacteristic
398C2×C29#332211yescharacteristic
399C2×C29#334811yescharacteristic
400C2×C29#335711yescharacteristic
401C22×Q8C23×C2911yescharacteristic
402C22×D4—21no—
403C22×D4C23×C2911yescharacteristic
404C23×C4—21no—
405C23×C4C23×C2911yescharacteristic
406C2×SD16—22no—
407C2×SD16—22no—
408C2×SD16—41no—
409C2×M16—22no—
410C2×M16—22no—
411C2×M16—41no—
412C22×C8C23×C2911yescharacteristic
413C22×C8C23×C2911yescharacteristic
414C22×C8C23×C2911yescharacteristic
415C22×C8C23×C2911yescharacteristic
416C22⋊Q8—22no—
417C22⋊Q8D4×C2914yes—
418#121—22no—
419#121—22no—
420C4×Q8—22no—
421C4×Q8—41no—
422#117—22no—
423#117—22no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—22no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—41no—
432C2×C4⋊C4C23×C2911yescharacteristic
433C2×C4⋊C4C23×C2911yescharacteristic
434C2×C4⋊C4C23×C2911yescharacteristic
435C2×C4⋊C4C23×C2911yescharacteristic
436C2×C4⋊C4C23×C2911yescharacteristic
437C2×C4⋊C4C23×C2911yescharacteristic
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4D4×C2911yescharacteristic
446C2×C22⋊C4D4×C2911yescharacteristic
447C2×C42—21no—
448C2×C42—21no—
449C2×C42—21no—
450C2×C42C23×C2911yescharacteristic
451C2×C42C23×C2911yescharacteristic
452#107—22no—
453#107—22no—
454#106—22no—
455C4⋊C8—22no—
456C4⋊C8—41no—
457#103—22no—
458#103—22no—
459#103—22no—
460#102—22no—
461#102—22no—
462#102—41no—
463C22⋊C8—22no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95D4×C2911yescharacteristic
471#95D4×C2911yescharacteristic
472C29#2522211yescharacteristic, direct product factor, Sylow
473C24—21no—
474C24C2×D4×C2911yescharacteristic
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8C2×D4×C2912yes—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—42no—
488C2×D4—81no—
489C2×D4—81no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—81no—
504C22×C4C2×D4×C2911yescharacteristic
505C22×C4C2×D4×C2911yescharacteristic
506C22×C4C2×D4×C2911yescharacteristic
507C22×C4C2×D4×C2911yescharacteristic
508C22×C4C2×D4×C2912yes—
509C22×C4C2×D4×C2911yescharacteristic
510C22×C4#41×C2912yes—
511C22×C4C24×C2911yescharacteristic
512SD16—44no—
513M16—44no—
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—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8#41×C2912yes—
526C4⋊C4—24no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—81no—
540C4⋊C4—81no—
541C4⋊C4—81no—
542C4⋊C4C2×D4×C2912yes—
543C4⋊C4#41×C2912yes—
544C22⋊C4—24no—
545C22⋊C4—22no—
546C22⋊C4—41no—
547C22⋊C4—42no—
548C22⋊C4—42no—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—81no—
552C22⋊C4—81no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—21no—
557C42—42no—
558C42—42no—
559C42—81no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23C29×#12112yes—
574C23C22×D4×C2911yescharacteristic
575Q8—22no—
576Q8—22no—
577Q8—41no—
578Q8—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—84no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—21no—
595C2×C4—22no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
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—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—84no—
623C2×C4C29×#12112yes—
624C2×C4C29×#13712yes—
625C2×C4C22×D4×C2911yescharacteristic
626C2×C4C2×#41×C2911yescharacteristic
627C2×C4C2×#41×C2911yescharacteristic
628C2×C4C2×#41×C2911yescharacteristic
629C2×C4C29×H(5,𝔽2)11yescharacteristic
630C2×C4C29×2−1+411yescharacteristic
631C8—22no—
632C8—41no—
633C8—41no—
634C8—41no—
635C22—22no—
636C22—22no—
637C22—22no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22C2×C29×#12111yescharacteristic
650C22C29×#54611yescharacteristic
651C22C29×#54711yescharacteristic
652C22C2×C29×#13711yescharacteristic
653C22C29×#57511yescharacteristic
654C22C29×#57611yescharacteristic
655C22C29×#57711yescharacteristic
656C4—22no—
657C4—22no—
658C4—42no—
659C4—42no—
660C4—41no—
661C4—42no—
662C4—41no—
663C4—41no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4—81no—
668C4C29×#52911yescharacteristic
669C4C29×#53911yescharacteristic
670C4C29×#54611yescharacteristic
671C4C29×#54711yescharacteristic
672C2—42no—
673C2—161no—
674C2C29×#242511yescharacteristic
675C2C29×#303711yescharacteristic
676C2C29×#304511yescharacteristic
677C2C29×#332011yescharacteristic
678C2C29×#332211yescharacteristic
679C2C29×#334811yescharacteristic
680C2C29×#335711yescharacteristic
subgroupG/H
center, socleC23×C29C22×D4
commutator, Frattini, cosocleC22×C4C24×C29
prime radicalC2×C29×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C29 ◁ C4×C22⋊C4×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C29×#485C2semidirect
4. C29×#2360C2semidirect
5. C29×#2083C2semidirect
6. C29×#2074C2semidirect
7. C29×#2065C2semidirect
8. C29×#2055C2semidirect
9. C29×#1949C2semidirect
10. C29×#1925C2semidirect
11. C29×#1880C2semidirect
13. C29×#1851C2semidirect
14. C29×#1803C2semidirect
15. C29×#1736C2semidirect
219. #25222C29direct (N × H)
295. C2×#485C2×C29semidirect
298. #2360C2×C29semidirect
299. #2083C2×C29semidirect
300. #2074C2×C29semidirect
301. #2065C2×C29semidirect
302. #2055C2×C29semidirect
303. #1949C2×C29semidirect
304. #1925C2×C29semidirect
305. #1880C2×C29semidirect
307. #1851C2×C29semidirect
308. #1803C2×C29semidirect
309. #1736C2×C29semidirect
472. C29#25222direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C29×#4852
C2×C29×#4682
C29×#25002
C29×#23602
C29×#20832
C29×#20742
C29×#20652
C29×#20552
C29×#19492
C29×#19252
C29×#18802
C29×#18742
C29×#18512
C29×#18032
C29×#17362
#2522229