Finite Group Databasebeta

← C2×C29×#3553 #20357654

Subgroups — C2×C29×#3553 #20357654

Order 7424.

6566 conjugacy classes of subgroups.

The subgroup lattice has 576 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3553C2132yesmaximal, direct product factor
2C2×C29×#564C211yesmaximal, characteristic, complemented
3C2×C29×#563C212yesmaximal, complemented
4C2×C29×#562C211yesmaximal, characteristic, complemented
5C2×C29×#554C214yesmaximal, complemented
6C2×C29×#553C214yesmaximal, complemented
7C2×C29×#552C214yesmaximal, complemented
8C2×C29×#541C214yesmaximal, complemented
9C2×C29×#539C214yesmaximal, complemented
10C2×C29×#539C214yesmaximal, complemented
11C2×C29×#529C212yesmaximal, complemented
12C22×C29×#125C211yesmaximal, characteristic, complemented
13C29×#564C22116yescomplemented
14C29×#563C22132yescomplemented
15C29×#562C22116yescomplemented
16C29×#554C22164yescomplemented
17C29×#553C22164yescomplemented
18C29×#552C22164yescomplemented
19C29×#541C22164yescomplemented
20C29×#539C22164yescomplemented
21C29×#539C22164yescomplemented
22C2×C29×C4⋊Q8C2214yes—
23C29×#529C22132yescomplemented
24C2×C29×#126C2214yes—
25C2×C29×#126C2214yes—
26C2×C29×#126C2214yes—
27C2×C29×#126C2214yes—
28C2×C29×#126C2214yes—
29C2×C29×#125C2212yes—
30C2×C29×#125C2214yes—
31C2×C29×#125C2214yes—
32C2×C29×#125C2214yes—
33C2×C29×#125C2214yes—
34C2×C29×#125C2214yes—
35C2×C29×#125C2214yes—
36C2×C29×#125C2212yes—
37C2×C29×#125C2211yescharacteristic
38C2×C29×#125C2211yescharacteristic
39C2×C29×#125C22116yescomplemented
40C2×C29×#124C2212yes—
41C2×C29×#123C2214yes—
42C2×C29×#123C2214yes—
43C2×C29×#123C2214yes—
44C2×C29×#123C2214yes—
45C2×C29×#123C2214yes—
46C2×C29×C22⋊Q8C2212yes—
47C2×C29×C22⋊Q8C2214yes—
48C2×C29×C22⋊Q8C2214yes—
49C2×C29×C22⋊Q8C2214yes—
50C2×C29×C22⋊Q8C2214yes—
51C2×C29×C22⋊Q8C2214yes—
52C2×C29×C22⋊Q8C2214yes—
53C2×C29×#121C2212yes—
54C2×C29×#121C2214yes—
55C2×C29×#121C2214yes—
56C2×C4×Q8×C29C2212yes—
57C2×C4×Q8×C29C2214yes—
58C2×C4×D4×C29C2212yes—
59C2×C4×D4×C29C2214yes—
60C2×C4×D4×C29C2214yes—
61C2×C4×D4×C29C2214yes—
62C2×C4×D4×C29C2214yes—
63C2×C29×#117C2214yes—
64C2×C29×#117C2214yes—
65C22×C4⋊C4×C29C2212yes—
66C22×C4⋊C4×C29C2214yes—
67C22×C4⋊C4×C29C2214yes—
68C22×C42×C29C2211yescharacteristic
69C22×Q8×C29C2314yes—
70C22×Q8×C29C2312yes—
71C22×D4×C29C2314yes—
72C22×D4×C29C2314yes—
73C22×D4×C29C2312yes—
74C23×C4×C29C2311yescharacteristic
75C23×C4×C29C2312yes—
76C23×C4×C29C2314yes—
77C23×C4×C29C2314yes—
78C23×C4×C29C2314yes—
79C23×C4×C29C2314yes—
80C29×C4⋊Q8C23132yes—
81C29×#126C23132yes—
82C29×#126C23132yes—
83C29×#126C23132yes—
84C29×#126C23132yes—
85C29×#126C23132yes—
86C29×#125C23132yes—
87C29×#125C23116yes—
88C29×#125C2318yes—
89C29×#125C2318yes—
90C29×#125C23116yes—
91C29×#125C23132yes—
92C29×#125C23132yes—
93C29×#125C23132yes—
94C29×#125C23132yes—
95C29×#125C23132yes—
96C29×#124C23116yes—
97C29×#123C23132yes—
98C29×#123C23132yes—
99C29×#123C23132yes—
100C29×#123C23132yes—
101C29×#123C23132yes—
102C29×C22⋊Q8C23116yes—
103C29×C22⋊Q8C23132yes—
104C29×C22⋊Q8C23132yes—
105C29×C22⋊Q8C23132yes—
106C29×C22⋊Q8C23132yes—
107C29×C22⋊Q8C23132yes—
108C29×C22⋊Q8C23132yes—
109C29×#121C23116yes—
110C29×#121C23132yes—
111C29×#121C23132yes—
112C4×Q8×C29C23116yes—
113C4×Q8×C29C23132yes—
114C4×D4×C29C23116yes—
115C4×D4×C29C23132yes—
116C4×D4×C29C23132yes—
117C4×D4×C29C23132yes—
118C4×D4×C29C23132yes—
119C29×#117C23132yes—
120C29×#117C23132yes—
121C2×C4⋊C4×C29C2314yes—
122C2×C4⋊C4×C29C2314yes—
123C2×C4⋊C4×C29C2314yes—
124C2×C4⋊C4×C29C2314yes—
125C2×C4⋊C4×C29C2314yes—
126C2×C4⋊C4×C29C2312yes—
127C2×C4⋊C4×C29C2314yes—
128C2×C4⋊C4×C29C2314yes—
129C2×C4⋊C4×C29C2314yes—
130C2×C4⋊C4×C29C2312yes—
131C2×C4⋊C4×C29C23116yes—
132C2×C4⋊C4×C29C23132yes—
133C2×C4⋊C4×C29C23132yes—
134C2×C4⋊C4×C29C2314yes—
135C2×C4⋊C4×C29C2314yes—
136C2×C4⋊C4×C29C2312yes—
137C2×C4⋊C4×C29C2314yes—
138C2×C4⋊C4×C29C2314yes—
139C2×C4⋊C4×C29C2314yes—
140C2×C4⋊C4×C29C2312yes—
141C2×C4⋊C4×C29C2314yes—
142C2×C4⋊C4×C29C2314yes—
143C2×C22⋊C4×C29C2314yes—
144C2×C22⋊C4×C29C2314yes—
145C2×C22⋊C4×C29C2314yes—
146C2×C22⋊C4×C29C2314yes—
147C2×C22⋊C4×C29C2314yes—
148C2×C22⋊C4×C29C2314yes—
149C2×C22⋊C4×C29C2314yes—
150C2×C22⋊C4×C29C2314yes—
151C2×C22⋊C4×C29C2314yes—
152C2×C42×C29C2311yescharacteristic
153C2×C42×C29C2312yes—
154C2×C42×C29C2311yescharacteristic
155C2×C42×C29C2318yes—
156C2×C42×C29C2314yes—
157C2×C42×C29C2314yes—
158C2×C42×C29C2314yes—
159C24×C29C2414yes—
160C24×C29C2411yescharacteristic
161C2×Q8×C29—48no—
162C2×Q8×C29—44no—
163C2×Q8×C29C24116yes—
164C2×Q8×C29C2418yes—
165C2×D4×C29—216no—
166C2×D4×C29—48no—
167C2×D4×C29—44no—
168C2×D4×C29C24116yes—
169C2×D4×C29C24116yes—
170C2×D4×C29C2418yes—
171C22×C4×C29—24no—
172C22×C4×C29—48no—
173C22×C4×C29—44no—
174C22×C4×C29—48no—
175C22×C4×C29—48no—
176C22×C4×C29—48no—
177C22×C4×C29C2414yes—
178C22×C4×C29C2412yes—
179C22×C4×C29C2414yes—
180C22×C4×C29C2411yescharacteristic
181C22×C4×C29C2411yescharacteristic
182C22×C4×C29C2414yes—
183C22×C4×C29C2412yes—
184C22×C4×C29C2414yes—
185C22×C4×C29C2414yes—
186C22×C4×C29C2414yes—
187C22×C4×C29C2418yes—
188C22×C4×C29C24116yes—
189C22×C4×C29C24116yes—
190C22×C4×C29C24116yes—
191C22×C4×C29C24116yes—
192C4⋊C4×C29C24116yes—
193C4⋊C4×C29C24116yes—
194C4⋊C4×C29C24116yes—
195C4⋊C4×C29C24116yes—
196C4⋊C4×C29C24116yes—
197C4⋊C4×C29C2418yes—
198C4⋊C4×C29C24116yes—
199C4⋊C4×C29C24116yes—
200C4⋊C4×C29C24116yes—
201C4⋊C4×C29C2418yes—
202C4⋊C4×C29C24116yes—
203C4⋊C4×C29C24116yes—
204C4⋊C4×C29C2418yes—
205C4⋊C4×C29C24116yes—
206C4⋊C4×C29C24116yes—
207C4⋊C4×C29C24116yes—
208C4⋊C4×C29C2418yes—
209C4⋊C4×C29C24116yes—
210C4⋊C4×C29C24116yes—
211C22⋊C4×C29C24116yes—
212C22⋊C4×C29C24116yes—
213C22⋊C4×C29C24116yes—
214C22⋊C4×C29C24116yes—
215C22⋊C4×C29C24116yes—
216C22⋊C4×C29C24116yes—
217C22⋊C4×C29C24116yes—
218C22⋊C4×C29C24116yes—
219C22⋊C4×C29C24116yes—
220C42×C29C2414yes—
221C42×C29C2418yes—
222C42×C29C2414yes—
223C42×C29C24116yes—
224C42×C29C24116yes—
225C42×C29C24116yes—
226C2×#3553C2911yesmaximal, characteristic, direct product factor, Sylow
227C23×C29—24no—
228C23×C29—28no—
229C23×C29—28no—
230C23×C29—28no—
231C23×C292−1+414yes—
232C23×C29C2518yes—
233C23×C29C2512yes—
234C23×C29C2511yescharacteristic
235Q8×C29—416no—
236Q8×C29—48no—
237D4×C29—232no—
238D4×C29—416no—
239D4×C29—48no—
240C2×C4×C29—28no—
241C2×C4×C29—22no—
242C2×C4×C29—22no—
243C2×C4×C29—28no—
244C2×C4×C29—24no—
245C2×C4×C29—28no—
246C2×C4×C29—28no—
247C2×C4×C29—28no—
248C2×C4×C29—24no—
249C2×C4×C29—28no—
250C2×C4×C29—416no—
251C2×C4×C29—48no—
252C2×C4×C29—416no—
253C2×C4×C29—416no—
254C2×C4×C29—416no—
255C2×C4×C29C2514yes—
256C2×C4×C29C2518yes—
257C2×C4×C29C2512yes—
258C2×C4×C29C2512yes—
259C2×C4×C29C2518yes—
260C2×C4×C29C2514yes—
261C2×C4×C29C2518yes—
262C2×C4×C29C2518yes—
263C2×C4×C29C2518yes—
264#3553C2×C29132yesdirect product factor
265C2×#564C2×C2911yescharacteristic, complemented
266C2×#563C2×C2912yescomplemented
267C2×#562C2×C2911yescharacteristic, complemented
268C2×#554C2×C2914yescomplemented
269C2×#553C2×C2914yescomplemented
270C2×#552C2×C2914yescomplemented
271C2×#541C2×C2914yescomplemented
272C2×#539C2×C2914yescomplemented
273C2×#539C2×C2914yescomplemented
274C2×#529C2×C2912yescomplemented
275C22×#125C2×C2911yescharacteristic, complemented
276C22×C29—24no—
277C22×C29—28no—
278C22×C29—28no—
279C22×C29—28no—
280C22×C29—28no—
281C22×C29—416no—
282C22×C29C2×2−1+414yes—
283C22×C29C2×2−1+412yes—
284C22×C29#58514yes—
285C22×C29C2611yescharacteristic
286C4×C29—22no—
287C4×C29—22no—
288C4×C29—28no—
289C4×C29—24no—
290C4×C29—28no—
291C4×C29—28no—
292C4×C29—28no—
293C4×C29—24no—
294C4×C29—28no—
295#564C22×C29116yescomplemented
296#563C22×C29132yescomplemented
297#562C22×C29116yescomplemented
298#554C22×C29164yescomplemented
299#553C22×C29164yescomplemented
300#552C22×C29164yescomplemented
301#541C22×C29164yescomplemented
302#539C22×C29164yescomplemented
303#539C22×C29164yescomplemented
304C2×C4⋊Q8C22×C2914yes—
305#529C22×C29132yescomplemented
306C2×#126C22×C2914yes—
307C2×#126C22×C2914yes—
308C2×#126C22×C2914yes—
309C2×#126C22×C2914yes—
310C2×#126C22×C2914yes—
311C2×#125C22×C2914yes—
312C2×#125C22×C2912yes—
313C2×#125C22×C2911yescharacteristic
314C2×#125C22×C2911yescharacteristic
315C2×#125C22×C2912yes—
316C2×#125C22×C2914yes—
317C2×#125C22×C2914yes—
318C2×#125C22×C2914yes—
319C2×#125C22×C2914yes—
320C2×#125C22×C2914yes—
321C2×#125C22×C29116yescomplemented
322C2×#124C22×C2912yes—
323C2×#123C22×C2914yes—
324C2×#123C22×C2914yes—
325C2×#123C22×C2914yes—
326C2×#123C22×C2914yes—
327C2×#123C22×C2914yes—
328C2×C22⋊Q8C22×C2912yes—
329C2×C22⋊Q8C22×C2914yes—
330C2×C22⋊Q8C22×C2914yes—
331C2×C22⋊Q8C22×C2914yes—
332C2×C22⋊Q8C22×C2914yes—
333C2×C22⋊Q8C22×C2914yes—
334C2×C22⋊Q8C22×C2914yes—
335C2×#121C22×C2912yes—
336C2×#121C22×C2914yes—
337C2×#121C22×C2914yes—
338C2×C4×Q8C22×C2912yes—
339C2×C4×Q8C22×C2914yes—
340C2×C4×D4C22×C2912yes—
341C2×C4×D4C22×C2914yes—
342C2×C4×D4C22×C2914yes—
343C2×C4×D4C22×C2914yes—
344C2×C4×D4C22×C2914yes—
345C2×#117C22×C2914yes—
346C2×#117C22×C2914yes—
347C22×C4⋊C4C22×C2912yes—
348C22×C4⋊C4C22×C2914yes—
349C22×C4⋊C4C22×C2914yes—
350C22×C42C22×C2911yescharacteristic
351C2×C29—24no—
352C2×C29—48no—
353C2×C29#355314yesdirect product factor
354C2×C29C22×2−1+411yescharacteristic
355C2×C29C2×#58512yes—
356C22×Q8C23×C2914yes—
357C22×Q8C23×C2912yes—
358C22×D4C23×C2914yes—
359C22×D4C23×C2914yes—
360C22×D4C23×C2912yes—
361C23×C4C23×C2911yescharacteristic
362C23×C4C23×C2914yes—
363C23×C4C23×C2912yes—
364C23×C4C23×C2914yes—
365C23×C4C23×C2914yes—
366C23×C4C23×C2914yes—
367C4⋊Q8C23×C29132yes—
368#126C23×C29132yes—
369#126C23×C29132yes—
370#126C23×C29132yes—
371#126C23×C29132yes—
372#126C23×C29132yes—
373#125C23×C29132yes—
374#125C23×C29116yes—
375#125C23×C2918yes—
376#125C23×C2918yes—
377#125C23×C29116yes—
378#125C23×C29132yes—
379#125C23×C29132yes—
380#125C23×C29132yes—
381#125C23×C29132yes—
382#125C23×C29132yes—
383#124C23×C29116yes—
384#123C23×C29132yes—
385#123C23×C29132yes—
386#123C23×C29132yes—
387#123C23×C29132yes—
388#123C23×C29132yes—
389C22⋊Q8C23×C29116yes—
390C22⋊Q8C23×C29132yes—
391C22⋊Q8C23×C29132yes—
392C22⋊Q8C23×C29132yes—
393C22⋊Q8C23×C29132yes—
394C22⋊Q8C23×C29132yes—
395C22⋊Q8C23×C29132yes—
396#121C23×C29116yes—
397#121C23×C29132yes—
398#121C23×C29132yes—
399C4×Q8C23×C29116yes—
400C4×Q8C23×C29132yes—
401C4×D4C23×C29116yes—
402C4×D4C23×C29132yes—
403C4×D4C23×C29132yes—
404C4×D4C23×C29132yes—
405C4×D4C23×C29132yes—
406#117C23×C29132yes—
407#117C23×C29132yes—
408C2×C4⋊C4C23×C2914yes—
409C2×C4⋊C4C23×C2914yes—
410C2×C4⋊C4C23×C2914yes—
411C2×C4⋊C4C23×C2914yes—
412C2×C4⋊C4C23×C2914yes—
413C2×C4⋊C4C23×C2912yes—
414C2×C4⋊C4C23×C2914yes—
415C2×C4⋊C4C23×C2914yes—
416C2×C4⋊C4C23×C2914yes—
417C2×C4⋊C4C23×C2912yes—
418C2×C4⋊C4C23×C29116yes—
419C2×C4⋊C4C23×C29132yes—
420C2×C4⋊C4C23×C29132yes—
421C2×C4⋊C4C23×C2914yes—
422C2×C4⋊C4C23×C2914yes—
423C2×C4⋊C4C23×C2912yes—
424C2×C4⋊C4C23×C2914yes—
425C2×C4⋊C4C23×C2914yes—
426C2×C4⋊C4C23×C2914yes—
427C2×C4⋊C4C23×C2912yes—
428C2×C4⋊C4C23×C2914yes—
429C2×C4⋊C4C23×C2914yes—
430C2×C22⋊C4C23×C2914yes—
431C2×C22⋊C4C23×C2914yes—
432C2×C22⋊C4C23×C2914yes—
433C2×C22⋊C4C23×C2914yes—
434C2×C22⋊C4C23×C2914yes—
435C2×C22⋊C4C23×C2914yes—
436C2×C22⋊C4C23×C2914yes—
437C2×C22⋊C4C23×C2914yes—
438C2×C22⋊C4C23×C2914yes—
439C2×C42C23×C2911yescharacteristic
440C2×C42C23×C2914yes—
441C2×C42C23×C2914yes—
442C2×C42C23×C2914yes—
443C2×C42C23×C2912yes—
444C2×C42C23×C2911yescharacteristic
445C2×C42C23×C2918yes—
446C29C2×#355311yescharacteristic, direct product factor, Sylow
447C24C24×C2914yes—
448C24C24×C2911yescharacteristic
449C2×Q8—48no—
450C2×Q8—44no—
451C2×Q8C24×C29116yes—
452C2×Q8C24×C2918yes—
453C2×D4—216no—
454C2×D4—48no—
455C2×D4—44no—
456C2×D4C24×C29116yes—
457C2×D4C24×C29116yes—
458C2×D4C24×C2918yes—
459C22×C4—24no—
460C22×C4—48no—
461C22×C4—44no—
462C22×C4—48no—
463C22×C4—48no—
464C22×C4—48no—
465C22×C4C24×C2912yes—
466C22×C4C24×C2914yes—
467C22×C4C24×C2911yescharacteristic
468C22×C4C24×C2911yescharacteristic
469C22×C4C24×C2914yes—
470C22×C4C24×C2912yes—
471C22×C4C24×C2914yes—
472C22×C4C24×C2914yes—
473C22×C4C24×C2914yes—
474C22×C4C24×C2914yes—
475C22×C4C24×C2918yes—
476C22×C4C24×C29116yes—
477C22×C4C24×C29116yes—
478C22×C4C24×C29116yes—
479C22×C4C24×C29116yes—
480C4⋊C4C24×C29116yes—
481C4⋊C4C24×C29116yes—
482C4⋊C4C24×C29116yes—
483C4⋊C4C24×C29116yes—
484C4⋊C4C24×C29116yes—
485C4⋊C4C24×C2918yes—
486C4⋊C4C24×C29116yes—
487C4⋊C4C24×C29116yes—
488C4⋊C4C24×C29116yes—
489C4⋊C4C24×C2918yes—
490C4⋊C4C24×C29116yes—
491C4⋊C4C24×C29116yes—
492C4⋊C4C24×C2918yes—
493C4⋊C4C24×C29116yes—
494C4⋊C4C24×C29116yes—
495C4⋊C4C24×C29116yes—
496C4⋊C4C24×C2918yes—
497C4⋊C4C24×C29116yes—
498C4⋊C4C24×C29116yes—
499C22⋊C4C24×C29116yes—
500C22⋊C4C24×C29116yes—
501C22⋊C4C24×C29116yes—
502C22⋊C4C24×C29116yes—
503C22⋊C4C24×C29116yes—
504C22⋊C4C24×C29116yes—
505C22⋊C4C24×C29116yes—
506C22⋊C4C24×C29116yes—
507C22⋊C4C24×C29116yes—
508C42C24×C2914yes—
509C42C24×C2918yes—
510C42C24×C2914yes—
511C42C24×C29116yes—
512C42C24×C29116yes—
513C42C24×C29116yes—
514C23—24no—
515C23—28no—
516C23—28no—
517C23—28no—
518C23C29×2−1+414yes—
519C23C25×C2918yes—
520C23C25×C2912yes—
521C23C25×C2911yescharacteristic
522Q8—416no—
523Q8—48no—
524D4—232no—
525D4—416no—
526D4—48no—
527C2×C4—28no—
528C2×C4—22no—
529C2×C4—22no—
530C2×C4—28no—
531C2×C4—24no—
532C2×C4—28no—
533C2×C4—28no—
534C2×C4—28no—
535C2×C4—24no—
536C2×C4—28no—
537C2×C4—416no—
538C2×C4—48no—
539C2×C4—416no—
540C2×C4—416no—
541C2×C4—416no—
542C2×C4C25×C2914yes—
543C2×C4C25×C2918yes—
544C2×C4C25×C2912yes—
545C2×C4C25×C2912yes—
546C2×C4C25×C2918yes—
547C2×C4C25×C2914yes—
548C2×C4C25×C2918yes—
549C2×C4C25×C2918yes—
550C2×C4C25×C2918yes—
551C22—28no—
552C22—24no—
553C22—28no—
554C22—28no—
555C22—28no—
556C22—416no—
557C22C2×C29×2−1+414yes—
558C22C2×C29×2−1+412yes—
559C22C29×#58514yes—
560C22C26×C2911yescharacteristic
561C4—22no—
562C4—22no—
563C4—28no—
564C4—24no—
565C4—28no—
566C4—28no—
567C4—28no—
568C4—24no—
569C4—28no—
570C2—24no—
571C2—48no—
572C2C29×#355314yesdirect product factor
573C2C22×C29×2−1+411yescharacteristic
574C2C2×C29×#58512yes—
subgroupG/H
center, socleC23×C29C25
commutator, Frattini, cosocleC22C26×C29
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#3553C2direct (N × H)
2. C2×C29×#564C2semidirect
3. C2×C29×#563C2semidirect
4. C2×C29×#562C2semidirect
5. C2×C29×#554C2semidirect
6. C2×C29×#553C2semidirect
7. C2×C29×#552C2semidirect
8. C2×C29×#541C2semidirect
9. C2×C29×#539C2semidirect
10. C2×C29×#539C2semidirect
11. C2×C29×#529C2semidirect
12. C22×C29×#125C2semidirect
13. C29×#564C22semidirect
14. C29×#563C22semidirect
15. C29×#562C22semidirect
16. C29×#554C22semidirect
17. C29×#553C22semidirect
18. C29×#552C22semidirect
19. C29×#541C22semidirect
20. C29×#539C22semidirect
21. C29×#539C22semidirect
23. C29×#529C22semidirect
39. C2×C29×#125C22semidirect
226. C2×#3553C29direct (N × H)
264. #3553C2×C29direct (N × H)
265. C2×#564C2×C29semidirect
266. C2×#563C2×C29semidirect
267. C2×#562C2×C29semidirect
268. C2×#554C2×C29semidirect
269. C2×#553C2×C29semidirect
270. C2×#552C2×C29semidirect
271. C2×#541C2×C29semidirect
272. C2×#539C2×C29semidirect
273. C2×#539C2×C29semidirect
274. C2×#529C2×C29semidirect
275. C22×#125C2×C29semidirect
295. #564C22×C29semidirect
296. #563C22×C29semidirect
297. #562C22×C29semidirect
298. #554C22×C29semidirect
299. #553C22×C29semidirect
300. #552C22×C29semidirect
301. #541C22×C29semidirect
302. #539C22×C29semidirect
303. #539C22×C29semidirect
305. #529C22×C29semidirect
321. C2×#125C22×C29semidirect
353. C2×C29#3553direct (N × H)
446. C29C2×#3553direct (N × H)
572. C2C29×#3553direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#35532
C2×C29×#5642
C2×C29×#5632
C2×C29×#5622
C2×C29×#5542
C2×C29×#5532
C2×C29×#5522
C2×C29×#5412
C2×C29×#5392
C2×C29×#5292
C22×C29×#1252
C2×#355329