Finite Group Databasebeta

← C29×#60335 #20355235

Subgroups — C29×#60335 #20355235

Order 7424.

1746 conjugacy classes of subgroups.

The subgroup lattice has 608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3482C211yesmaximal, characteristic
2C29×#2994C213yesmaximal, complemented
3C29×#2993C213yesmaximal, complemented
4C29×#2990C213yesmaximal, complemented
5C29×#2988C211yesmaximal, characteristic, complemented
6C29×#2985C213yesmaximal, complemented
7C29×#2984C211yesmaximal, characteristic, complemented
8C29×#2982C211yesmaximal, characteristic, complemented
9C29×#2971C211yesmaximal, characteristic, complemented
10C29×#2969C213yesmaximal, complemented
11C29×#2966C213yesmaximal, complemented
12C29×#2965C213yesmaximal, complemented
13Q8×M16×C29C211yesmaximal, characteristic, complemented
14C29×#2962C213yesmaximal, complemented
15C2×C8×Q8×C29C211yesmaximal, characteristic, complemented
16C29×#557C411yescharacteristic
17C29×#556C413yes—
18C29×#552C413yes—
19C29×#552C413yes—
20D4×Q8×C29C411yescharacteristic
21C29×#548C411yescharacteristic
22C29×#548C411yescharacteristic
23C29×#547C413yes—
24C29×#533C2213yes—
25C29×#529C2213yes—
26C29×#529C2213yes—
27C4×#41×C29C2213yes—
28C4×#41×C29C2211yescharacteristic
29C2×C4×Q8×C29C2211yescharacteristic
30C2×C4×Q8×C29C2211yescharacteristic
31C29×#446C2213yes—
32C29×#446C2213yes—
33C29×#446C2213yes—
34C29×#446C2216yes—
35C29×#446C2213yes—
36C29×#446C2213yes—
37C29×#446C2213yes—
38C8×Q8×C29C2213yes—
39C8×Q8×C29C2211yescharacteristic
40C8×Q8×C29C2211yescharacteristic
41C8×Q8×C29C2213yes—
42C8×Q8×C29C2213yes—
43C8×Q8×C29C2211yescharacteristic
44C8×Q8×C29C2213yes—
45C8×Q8×C29C2211yescharacteristic
46C29×#436C2213yes—
47C29×#436C2213yes—
48C29×#436C2213yes—
49C29×#436C2213yes—
50C29×#435C2211yescharacteristic
51C29×#435C2213yes—
52C29×#435C2213yes—
53C29×#435C2213yes—
54C29×#435C2216yes—
55C8×D4×C29C2213yes—
56C8×D4×C29C2216yes—
57C8×D4×C29C2213yes—
58C29×#433C2216yes—
59C29×#433C2216yes—
60C29×#432C2213yes—
61C29×#432C2213yes—
62C29×#431C2213yes—
63C29×#431C2213yes—
64C29×#431C2213yes—
65C29×#431C2213yes—
66C29×#424C2216yes—
67C29×#423C2213yes—
68C2×C29×C4⋊C8C2213yes—
69C2×C29×C4⋊C8C2213yes—
70C29×#405C2216yes—
71C4×M16×C29C2213yes—
72C4×M16×C29C2213yes—
73C2×C4×C8×C29C2213yes—
74C2×#41×C29C2×C411yescharacteristic
75C2×#41×C29C2×C413yes—
76C22×Q8×C29C2×C411yescharacteristic
77C22×Q8×C29C2×C411yescharacteristic
78C2×M16×C29C2311yescharacteristic
79C2×M16×C29C2313yes—
80C2×M16×C29C2313yes—
81C2×M16×C29C2313yes—
82C22×C8×C29C2311yescharacteristic
83C22×C8×C29C2316yes—
84C22×C8×C29C2313yes—
85C29×C4⋊Q8C2×C413yes—
86C29×C4⋊Q8C2×C413yes—
87C29×#126C2×C416yes—
88C29×#126C2×C416yes—
89C29×#125C2×C413yes—
90C29×#125C2×C413yes—
91C29×#125C2×C416yes—
92C29×#124C2×C413yes—
93C29×#124C2×C413yes—
94C29×#123C2×C416yes—
95C29×#123C2×C416yes—
96C29×C22⋊Q8C2×C413yes—
97C29×C22⋊Q8C2×C413yes—
98C29×C22⋊Q8C2×C416yes—
99C29×C22⋊Q8C2×C413yes—
100C29×C22⋊Q8C2×C413yes—
101C29×#121C2×C413yes—
102C29×#121C2×C413yes—
103C4×Q8×C29C2×C411yescharacteristic
104C4×Q8×C29C2×C411yescharacteristic
105C4×Q8×C29C2×C413yes—
106C4×Q8×C29C2×C413yes—
107C4×Q8×C29C2×C411yescharacteristic
108C4×Q8×C29C2×C413yes—
109C4×Q8×C29C2311yescharacteristic
110C4×Q8×C29C2313yes—
111C4×Q8×C29C2313yes—
112C4×Q8×C29C2313yes—
113C4×D4×C29C2×C413yes—
114C4×D4×C29C2×C413yes—
115C4×D4×C29C2×C413yes—
116C4×D4×C29C2×C413yes—
117C4×D4×C29C2313yes—
118C4×D4×C29C2313yes—
119C4×D4×C29C2311yescharacteristic
120C4×D4×C29C2313yes—
121C29×#117C2×C413yes—
122C29×#117C2×C413yes—
123C29×#117C2×C413yes—
124C29×#117C2×C413yes—
125C29×#117C2316yes—
126C2×C4⋊C4×C29C2×C413yes—
127C2×C4⋊C4×C29C2×C413yes—
128C2×C42×C29C2313yes—
129C2×C42×C29C2313yes—
130C2×C42×C29C2313yes—
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⋊C8C2316yes—
142C29×C4⋊C8C2316yes—
143C29×C22⋊C8C2311yescharacteristic
144C29×C22⋊C8C2313yes—
145C29×C22⋊C8C2311yescharacteristic
146C29×C22⋊C8C2313yes—
147C29×C22⋊C8C2313yes—
148C29×C22⋊C8C2313yes—
149C29×C22⋊C8C2316yes—
150C29×#97C2313yes—
151C29×#97C2316yes—
152C29×#97C2313yes—
153C29×#97C2311yescharacteristic
154C29×#97C2313yes—
155C4×C8×C29C2313yes—
156C4×C8×C29C2313yes—
157C4×C8×C29C2313yes—
158C4×C8×C29C2316yes—
159C4×C8×C29C2313yes—
160C4×C8×C29C2313yes—
161C4×C8×C29C2313yes—
162#41×C29—24no—
163#41×C29—46no—
164C2×Q8×C29—24no—
165C2×Q8×C29—24no—
166C2×Q8×C29C22×C413yes—
167C2×Q8×C29C22×C413yes—
168C2×Q8×C29C22×C413yes—
169C2×Q8×C29C22×C411yescharacteristic
170C2×D4×C29C22×C411yescharacteristic
171C2×D4×C29C22×C413yes—
172C2×D4×C29C22×C413yes—
173C2×D4×C29C22×C413yes—
174C22×C4×C29C22×C413yes—
175C22×C4×C29C22×C413yes—
176C22×C4×C29C22×C413yes—
177C22×C4×C29C22×C413yes—
178C22×C4×C29C22×C413yes—
179C22×C4×C29C22×C413yes—
180C22×C4×C29C2411yescharacteristic
181C22×C4×C29C2411yescharacteristic
182C22×C4×C29C2413yes—
183M16×C29—22no—
184M16×C29—26no—
185M16×C29—43no—
186M16×C29—43no—
187C2×C8×C29—22no—
188C2×C8×C29—46no—
189C2×C8×C29—43no—
190C2×C8×C29C2413yes—
191C2×C8×C29C2413yes—
192C2×C8×C29C2413yes—
193C2×C8×C29C2411yescharacteristic
194C2×C8×C29C2411yescharacteristic
195C2×C8×C29C2411yescharacteristic
196C2×C8×C29C2413yes—
197C2×C8×C29C2411yescharacteristic
198C4⋊C4×C29C22×C413yes—
199C4⋊C4×C29C22×C413yes—
200C4⋊C4×C29C22×C413yes—
201C4⋊C4×C29C22×C416yes—
202C4⋊C4×C29C22×C416yes—
203C4⋊C4×C29C22×C411yescharacteristic
204C4⋊C4×C29C22×C413yes—
205C4⋊C4×C29C22×C413yes—
206C4⋊C4×C29C22×C413yes—
207C4⋊C4×C29C22×C413yes—
208C4⋊C4×C29C22×C413yes—
209C4⋊C4×C29C22×C413yes—
210C4⋊C4×C29C22×C416yes—
211C4⋊C4×C29C22×C416yes—
212C22⋊C4×C29C22×C411yescharacteristic
213C22⋊C4×C29C22×C411yescharacteristic
214C22⋊C4×C29C22×C413yes—
215C22⋊C4×C29C22×C413yes—
216C22⋊C4×C29C22×C416yes—
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×C29C2413yes—
228C42×C29C2411yescharacteristic
229C42×C29C2413yes—
230C42×C29C2413yes—
231#60335C2911yesmaximal, characteristic, direct product factor, Sylow
232C23×C29C23×C413yes—
233C23×C29C23×C411yescharacteristic
234C23×C29C23×C411yescharacteristic
235Q8×C29—26no—
236Q8×C29—26no—
237Q8×C29—43no—
238Q8×C29#13114yes—
239D4×C29—26no—
240D4×C29—22no—
241D4×C29—26no—
242D4×C29—43no—
243C2×C4×C29—26no—
244C2×C4×C29—26no—
245C2×C4×C29—26no—
246C2×C4×C29—26no—
247C2×C4×C29—21no—
248C2×C4×C29—21no—
249C2×C4×C29—23no—
250C2×C4×C29—21no—
251C2×C4×C29—23no—
252C2×C4×C29—21no—
253C2×C4×C29—43no—
254C2×C4×C29—43no—
255C2×C4×C29C23×C411yescharacteristic
256C2×C4×C29C23×C411yescharacteristic
257C2×C4×C29C23×C411yescharacteristic
258C2×C4×C29C23×C413yes—
259C2×C4×C29C23×C411yescharacteristic
260C2×C4×C29C23×C413yes—
261C2×C4×C29C23×C413yes—
262C2×C4×C29C23×C413yes—
263C2×C4×C29C23×C413yes—
264C2×C4×C29C23×C413yes—
265C2×C4×C29C23×C413yes—
266C2×C4×C29C2511yescharacteristic
267C8×C29—21no—
268C8×C29—21no—
269C8×C29—23no—
270C8×C29—23no—
271C8×C29—23no—
272C8×C29—23no—
273C8×C29—21no—
274C8×C292−1+412yes—
275#3482C2×C2911yescharacteristic
276#2994C2×C2913yescomplemented
277#2993C2×C2913yescomplemented
278#2990C2×C2913yescomplemented
279#2988C2×C2911yescharacteristic, complemented
280#2985C2×C2913yescomplemented
281#2984C2×C2911yescharacteristic, complemented
282#2982C2×C2911yescharacteristic, complemented
283#2971C2×C2911yescharacteristic, complemented
284#2969C2×C2913yescomplemented
285#2966C2×C2913yescomplemented
286#2965C2×C2913yescomplemented
287Q8×M16C2×C2911yescharacteristic, complemented
288#2962C2×C2913yescomplemented
289C2×C8×Q8C2×C2911yescharacteristic, complemented
290C22×C29—21no—
291C22×C29—21no—
292C22×C29—23no—
293C22×C29—21no—
294C22×C29—21no—
295C22×C29—23no—
296C22×C29—21no—
297C22×C29—23no—
298C22×C29#56812yes—
299C22×C29C24×C411yescharacteristic
300C4×C29—21no—
301C4×C29—23no—
302C4×C29—21no—
303C4×C29—21no—
304C4×C29—23no—
305C4×C29—23no—
306C4×C29—23no—
307C4×C29—23no—
308C4×C29—21no—
309C4×C29—23no—
310C4×C29C2×#13116yes—
311C4×C29C2×2−1+411yescharacteristic
312C4×C29#58511yescharacteristic
313#557C4×C2911yescharacteristic
314#556C4×C2913yes—
315#552C4×C2913yes—
316#552C4×C2913yes—
317D4×Q8C4×C2911yescharacteristic
318#548C4×C2911yescharacteristic
319#548C4×C2911yescharacteristic
320#547C4×C2913yes—
321#533C22×C2913yes—
322#529C22×C2913yes—
323#529C22×C2913yes—
324C4×#41C22×C2913yes—
325C4×#41C22×C2911yescharacteristic
326C2×C4×Q8C22×C2911yescharacteristic
327C2×C4×Q8C22×C2911yescharacteristic
328#446C22×C2913yes—
329#446C22×C2913yes—
330#446C22×C2913yes—
331#446C22×C2916yes—
332#446C22×C2913yes—
333#446C22×C2913yes—
334#446C22×C2913yes—
335C8×Q8C22×C2913yes—
336C8×Q8C22×C2911yescharacteristic
337C8×Q8C22×C2911yescharacteristic
338C8×Q8C22×C2913yes—
339C8×Q8C22×C2913yes—
340C8×Q8C22×C2911yescharacteristic
341C8×Q8C22×C2913yes—
342C8×Q8C22×C2911yescharacteristic
343#436C22×C2913yes—
344#436C22×C2913yes—
345#436C22×C2913yes—
346#436C22×C2913yes—
347#435C22×C2911yescharacteristic
348#435C22×C2913yes—
349#435C22×C2913yes—
350#435C22×C2913yes—
351#435C22×C2916yes—
352C8×D4C22×C2913yes—
353C8×D4C22×C2916yes—
354C8×D4C22×C2913yes—
355#433C22×C2916yes—
356#433C22×C2916yes—
357#432C22×C2913yes—
358#432C22×C2913yes—
359#431C22×C2913yes—
360#431C22×C2913yes—
361#431C22×C2913yes—
362#431C22×C2913yes—
363#424C22×C2916yes—
364#423C22×C2913yes—
365C2×C4⋊C8C22×C2913yes—
366C2×C4⋊C8C22×C2913yes—
367#405C22×C2916yes—
368C4×M16C22×C2913yes—
369C4×M16C22×C2913yes—
370C2×C4×C8C22×C2913yes—
371C2×C29—22no—
372C2×C29—41no—
373C2×C29—43no—
374C2×C29C4×2−1+411yescharacteristic
375C2×C29C22×#13111yescharacteristic
376C2×C29C2×#56811yescharacteristic
377C2×#41C2×C4×C2911yescharacteristic
378C2×#41C2×C4×C2913yes—
379C22×Q8C2×C4×C2911yescharacteristic
380C22×Q8C2×C4×C2911yescharacteristic
381C2×M16C23×C2911yescharacteristic
382C2×M16C23×C2913yes—
383C2×M16C23×C2913yes—
384C2×M16C23×C2913yes—
385C22×C8C23×C2911yescharacteristic
386C22×C8C23×C2913yes—
387C22×C8C23×C2916yes—
388C4⋊Q8C2×C4×C2913yes—
389C4⋊Q8C2×C4×C2913yes—
390#126C2×C4×C2916yes—
391#126C2×C4×C2916yes—
392#125C2×C4×C2913yes—
393#125C2×C4×C2913yes—
394#125C2×C4×C2916yes—
395#124C2×C4×C2913yes—
396#124C2×C4×C2913yes—
397#123C2×C4×C2916yes—
398#123C2×C4×C2916yes—
399C22⋊Q8C2×C4×C2913yes—
400C22⋊Q8C2×C4×C2913yes—
401C22⋊Q8C2×C4×C2916yes—
402C22⋊Q8C2×C4×C2913yes—
403C22⋊Q8C2×C4×C2913yes—
404#121C2×C4×C2913yes—
405#121C2×C4×C2913yes—
406C4×Q8C2×C4×C2911yescharacteristic
407C4×Q8C2×C4×C2911yescharacteristic
408C4×Q8C2×C4×C2913yes—
409C4×Q8C2×C4×C2913yes—
410C4×Q8C2×C4×C2911yescharacteristic
411C4×Q8C2×C4×C2913yes—
412C4×Q8C23×C2911yescharacteristic
413C4×Q8C23×C2913yes—
414C4×Q8C23×C2913yes—
415C4×Q8C23×C2913yes—
416C4×D4C2×C4×C2913yes—
417C4×D4C2×C4×C2913yes—
418C4×D4C2×C4×C2913yes—
419C4×D4C2×C4×C2913yes—
420C4×D4C23×C2911yescharacteristic
421C4×D4C23×C2913yes—
422C4×D4C23×C2913yes—
423C4×D4C23×C2913yes—
424#117C2×C4×C2913yes—
425#117C2×C4×C2913yes—
426#117C2×C4×C2913yes—
427#117C2×C4×C2913yes—
428#117C23×C2916yes—
429C2×C4⋊C4C2×C4×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×C2916yes—
439C4⋊C8C23×C2916yes—
440C4⋊C8C23×C2913yes—
441C4⋊C8C23×C2913yes—
442C4⋊C8C23×C2911yescharacteristic
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×C2913yes—
452C22⋊C8C23×C2916yes—
453#97C23×C2911yescharacteristic
454#97C23×C2913yes—
455#97C23×C2913yes—
456#97C23×C2913yes—
457#97C23×C2916yes—
458C4×C8C23×C2913yes—
459C4×C8C23×C2913yes—
460C4×C8C23×C2913yes—
461C4×C8C23×C2913yes—
462C4×C8C23×C2913yes—
463C4×C8C23×C2913yes—
464C4×C8C23×C2916yes—
465C29#6033511yescharacteristic, direct product factor, Sylow
466#41—24no—
467#41—46no—
468C2×Q8—24no—
469C2×Q8—24no—
470C2×Q8C22×C4×C2913yes—
471C2×Q8C22×C4×C2913yes—
472C2×Q8C22×C4×C2913yes—
473C2×Q8C22×C4×C2911yescharacteristic
474C2×D4C22×C4×C2911yescharacteristic
475C2×D4C22×C4×C2913yes—
476C2×D4C22×C4×C2913yes—
477C2×D4C22×C4×C2913yes—
478C22×C4C22×C4×C2913yes—
479C22×C4C22×C4×C2913yes—
480C22×C4C22×C4×C2913yes—
481C22×C4C22×C4×C2913yes—
482C22×C4C22×C4×C2913yes—
483C22×C4C22×C4×C2913yes—
484C22×C4C24×C2911yescharacteristic
485C22×C4C24×C2911yescharacteristic
486C22×C4C24×C2913yes—
487M16—22no—
488M16—26no—
489M16—43no—
490M16—43no—
491C2×C8—22no—
492C2×C8—46no—
493C2×C8—43no—
494C2×C8C24×C2911yescharacteristic
495C2×C8C24×C2913yes—
496C2×C8C24×C2911yescharacteristic
497C2×C8C24×C2913yes—
498C2×C8C24×C2911yescharacteristic
499C2×C8C24×C2913yes—
500C2×C8C24×C2913yes—
501C2×C8C24×C2911yescharacteristic
502C4⋊C4C22×C4×C2913yes—
503C4⋊C4C22×C4×C2913yes—
504C4⋊C4C22×C4×C2913yes—
505C4⋊C4C22×C4×C2916yes—
506C4⋊C4C22×C4×C2916yes—
507C4⋊C4C22×C4×C2911yescharacteristic
508C4⋊C4C22×C4×C2913yes—
509C4⋊C4C22×C4×C2913yes—
510C4⋊C4C22×C4×C2913yes—
511C4⋊C4C22×C4×C2913yes—
512C4⋊C4C22×C4×C2913yes—
513C4⋊C4C22×C4×C2913yes—
514C4⋊C4C22×C4×C2916yes—
515C4⋊C4C22×C4×C2916yes—
516C22⋊C4C22×C4×C2911yescharacteristic
517C22⋊C4C22×C4×C2911yescharacteristic
518C22⋊C4C22×C4×C2913yes—
519C22⋊C4C22×C4×C2913yes—
520C22⋊C4C22×C4×C2916yes—
521C22⋊C4C22×C4×C2913yes—
522C22⋊C4C22×C4×C2913yes—
523C22⋊C4C22×C4×C2916yes—
524C22⋊C4C22×C4×C2916yes—
525C42C22×C4×C2913yes—
526C42C22×C4×C2913yes—
527C42C22×C4×C2913yes—
528C42C22×C4×C2913yes—
529C42C22×C4×C2913yes—
530C42C22×C4×C2913yes—
531C42C24×C2913yes—
532C42C24×C2913yes—
533C42C24×C2913yes—
534C42C24×C2911yescharacteristic
535C23C23×C4×C2913yes—
536C23C23×C4×C2911yescharacteristic
537C23C23×C4×C2911yescharacteristic
538Q8—26no—
539Q8—26no—
540Q8—43no—
541Q8C29×#13114yes—
542D4—22no—
543D4—26no—
544D4—26no—
545D4—43no—
546C2×C4—26no—
547C2×C4—26no—
548C2×C4—26no—
549C2×C4—26no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—23no—
553C2×C4—21no—
554C2×C4—23no—
555C2×C4—21no—
556C2×C4—43no—
557C2×C4—43no—
558C2×C4C23×C4×C2911yescharacteristic
559C2×C4C23×C4×C2911yescharacteristic
560C2×C4C23×C4×C2911yescharacteristic
561C2×C4C23×C4×C2913yes—
562C2×C4C23×C4×C2911yescharacteristic
563C2×C4C23×C4×C2913yes—
564C2×C4C23×C4×C2913yes—
565C2×C4C23×C4×C2913yes—
566C2×C4C23×C4×C2913yes—
567C2×C4C23×C4×C2913yes—
568C2×C4C23×C4×C2913yes—
569C2×C4C25×C2911yescharacteristic
570C8—21no—
571C8—21no—
572C8—23no—
573C8—23no—
574C8—23no—
575C8—23no—
576C8—21no—
577C8C29×2−1+412yes—
578C22—21no—
579C22—21no—
580C22—21no—
581C22—23no—
582C22—21no—
583C22—23no—
584C22—23no—
585C22—21no—
586C22C29×#56812yes—
587C22C24×C4×C2911yescharacteristic
588C4—21no—
589C4—23no—
590C4—23no—
591C4—23no—
592C4—23no—
593C4—21no—
594C4—23no—
595C4—21no—
596C4—23no—
597C4—21no—
598C4C2×C29×#13116yes—
599C4C2×C29×2−1+411yescharacteristic
600C4C29×#58511yescharacteristic
601C2—22no—
602C2—41no—
603C2—43no—
604C2C4×C29×2−1+411yescharacteristic
605C2C22×C29×#13111yescharacteristic
606C2C2×C29×#56811yescharacteristic
subgroupG/H
centerC2×C4×C29C25
commutatorC22C24×C4×C29
Frattini, cosocleC2×C4C25×C29
socleC22×C29C24×C4
prime radicalC29×#3482C2
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×#2990C2semidirect
5. C29×#2988C2semidirect
6. C29×#2985C2semidirect
7. C29×#2984C2semidirect
8. C29×#2982C2semidirect
9. C29×#2971C2semidirect
10. C29×#2969C2semidirect
11. C29×#2966C2semidirect
12. C29×#2965C2semidirect
13. Q8×M16×C29C2semidirect
14. C29×#2962C2semidirect
15. C2×C8×Q8×C29C2semidirect
231. #60335C29direct (N × H)
276. #2994C2×C29semidirect
277. #2993C2×C29semidirect
278. #2990C2×C29semidirect
279. #2988C2×C29semidirect
280. #2985C2×C29semidirect
281. #2984C2×C29semidirect
282. #2982C2×C29semidirect
283. #2971C2×C29semidirect
284. #2969C2×C29semidirect
285. #2966C2×C29semidirect
286. #2965C2×C29semidirect
287. Q8×M16C2×C29semidirect
288. #2962C2×C29semidirect
289. C2×C8×Q8C2×C29semidirect
465. C29#60335direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#34822
C29×#29942
C29×#29932
C29×#29902
C29×#29882
C29×#29852
C29×#29842
C29×#29822
C29×#29712
C29×#29692
C29×#29662
C29×#29652
Q8×M16×C292
C29×#29622
C2×C8×Q8×C292
#6033529