Finite Group Databasebeta

← C29×#27049 #20321949

Subgroups — C29×#27049 #20321949

Order 7424.

786 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#2497C211yesmaximal, characteristic, complemented
2C29×#2361C211yesmaximal, characteristic
3C29×#2071C211yesmaximal, characteristic, complemented
4C29×#2067C211yesmaximal, characteristic, complemented
5C29×#2034C211yesmaximal, characteristic
6C29×#2034C211yesmaximal, characteristic
7C29×#1948C211yesmaximal, characteristic, complemented
8C29×#1944C211yesmaximal, characteristic, complemented
9C29×#1924C211yesmaximal, characteristic, complemented
10C29×#1920C211yesmaximal, characteristic, complemented
11C29×#1918C211yesmaximal, characteristic, complemented
12C29×#1862C211yesmaximal, characteristic, complemented
13C29×#1852C211yesmaximal, characteristic, complemented
14C29×#1824C211yesmaximal, characteristic, complemented
15C29×#1762C211yesmaximal, characteristic, complemented
16C2×C29×#121C2211yescharacteristic
17C2×C4×D4×C29—21no—
18C2×C4×D4×C29C2211yescharacteristic
19C22×C4⋊C4×C29C2211yescharacteristic
20C2×C29×#107C2211yescharacteristic
21C2×C29×#107C2211yescharacteristic
22C2×C29×#106C2211yescharacteristic
23C2×C29×#106C2211yescharacteristic
24C2×C29×C4⋊C8C2211yescharacteristic
25C2×C29×#102C2211yescharacteristic
26C2×C29×#102C2211yescharacteristic
27C2×C29×#102C2211yescharacteristic
28C2×C29×#102C2211yescharacteristic
29C2×C29×C22⋊C8C2211yescharacteristic
30C2×C29×C22⋊C8C2211yescharacteristic
31C2×C29×#97C2211yescharacteristic
32C29×#400—21no—
33C29×#396—21no—
34C29×#390C2211yescharacteristic
35C29×#389C2211yescharacteristic
36C29×#389C2211yescharacteristic
37C29×#389C2211yescharacteristic
38C29×#388—21no—
39C29×#388—21no—
40C29×#387—21no—
41C29×#386—21no—
42C29×#385—21no—
43C29×#384C2211yescharacteristic
44C29×#380C2211yescharacteristic
45C29×#380C2211yescharacteristic
46C4×C4⋊C4×C29C2211yescharacteristic
47C4×C4⋊C4×C29C2211yescharacteristic
48C4×C22⋊C4×C29C2211yescharacteristic
49C29×#340C2211yescharacteristic
50C29×#340C2211yescharacteristic
51C29×#340C2211yescharacteristic
52C29×#340C2211yescharacteristic
53C29×#340C2211yescharacteristic
54C29×#340C2211yescharacteristic
55C29×#340C2211yescharacteristic
56C29×#340C2211yescharacteristic
57C29×#336C2211yescharacteristic
58C29×#336C2211yescharacteristic
59C22×D4×C29—21no—
60C22×D4×C29C2311yescharacteristic
61C23×C4×C29—21no—
62C23×C4×C29—21no—
63C23×C4×C29C2311yescharacteristic
64C22×C8×C29C2311yescharacteristic
65C22×C8×C29C2311yescharacteristic
66C22×C8×C29C2311yescharacteristic
67C22×C8×C29C2311yescharacteristic
68C29×#121—22no—
69C29×#121—22no—
70C4×D4×C29—22no—
71C4×D4×C29—41no—
72C4×D4×C29—44no—
73C2×C4⋊C4×C29—22no—
74C2×C4⋊C4×C29—21no—
75C2×C4⋊C4×C29—21no—
76C2×C4⋊C4×C29—21no—
77C2×C4⋊C4×C29—21no—
78C2×C4⋊C4×C29—21no—
79C2×C4⋊C4×C29—21no—
80C2×C4⋊C4×C29—41no—
81C2×C4⋊C4×C29C2311yescharacteristic
82C2×C4⋊C4×C29C2311yescharacteristic
83C2×C4⋊C4×C29C2311yescharacteristic
84C2×C4⋊C4×C29C2311yescharacteristic
85C2×C4⋊C4×C29C2311yescharacteristic
86C2×C4⋊C4×C29C2311yescharacteristic
87C2×C4⋊C4×C29C2311yescharacteristic
88C2×C22⋊C4×C29—21no—
89C2×C22⋊C4×C29—21no—
90C2×C22⋊C4×C29—21no—
91C2×C22⋊C4×C29—21no—
92C2×C22⋊C4×C29—21no—
93C2×C22⋊C4×C29—21no—
94C2×C22⋊C4×C29D411yescharacteristic
95C2×C22⋊C4×C29D411yescharacteristic
96C2×C42×C29—21no—
97C2×C42×C29—21no—
98C2×C42×C29C2311yescharacteristic
99C2×C42×C29C2311yescharacteristic
100C29×#107—22no—
101C29×#107—41no—
102C29×#106—22no—
103C29×#106—22no—
104C29×C4⋊C8—22no—
105C29×#102—22no—
106C29×#102—22no—
107C29×#102—22no—
108C29×#102—41no—
109C29×C22⋊C8—22no—
110C29×C22⋊C8—41no—
111C29×#97—41no—
112C29×#95—21no—
113C29×#95—21no—
114C29×#95—21no—
115C29×#95—21no—
116C29×#95—21no—
117C29×#95—21no—
118C29×#95—21no—
119C29×#95D411yescharacteristic
120C29×#95D411yescharacteristic
121C24×C29—21no—
122C24×C29C2×D411yescharacteristic
123C2×D4×C29—24no—
124C2×D4×C29—21no—
125C2×D4×C29—21no—
126C2×D4×C29—21no—
127C2×D4×C29—21no—
128C2×D4×C29—21no—
129C2×D4×C29—42no—
130C2×D4×C29—42no—
131C2×D4×C29#4112yes—
132C22×C4×C29—21no—
133C22×C4×C29—21no—
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—21no—
141C22×C4×C29—21no—
142C22×C4×C29—21no—
143C22×C4×C29—21no—
144C22×C4×C29—21no—
145C22×C4×C29—42no—
146C22×C4×C29—42no—
147C22×C4×C29—42no—
148C22×C4×C29—42no—
149C22×C4×C29—81no—
150C22×C4×C29—81no—
151C22×C4×C29C2×D411yescharacteristic
152C22×C4×C29C2×D411yescharacteristic
153C22×C4×C29C2×D411yescharacteristic
154C22×C4×C29C2×D411yescharacteristic
155C22×C4×C29C2×D411yescharacteristic
156C22×C4×C29C2411yescharacteristic
157C2×C8×C29—21no—
158C2×C8×C29—21no—
159C2×C8×C29—21no—
160C2×C8×C29—21no—
161C2×C8×C29—21no—
162C2×C8×C29—21no—
163C2×C8×C29—21no—
164C2×C8×C29—21no—
165C2×C8×C29—21no—
166C2×C8×C29—21no—
167C2×C8×C29—21no—
168C2×C8×C29#4112yes—
169C4⋊C4×C29—21no—
170C4⋊C4×C29—21no—
171C4⋊C4×C29—21no—
172C4⋊C4×C29—21no—
173C4⋊C4×C29—21no—
174C4⋊C4×C29—21no—
175C4⋊C4×C29—21no—
176C4⋊C4×C29—21no—
177C4⋊C4×C29—21no—
178C4⋊C4×C29—21no—
179C4⋊C4×C29—21no—
180C4⋊C4×C29—21no—
181C4⋊C4×C29—42no—
182C4⋊C4×C29—42no—
183C4⋊C4×C29—42no—
184C4⋊C4×C29—81no—
185C4⋊C4×C29—81no—
186C4⋊C4×C29—81no—
187C4⋊C4×C29#4112yes—
188C4⋊C4×C29#4112yes—
189C22⋊C4×C29—24no—
190C22⋊C4×C29—22no—
191C22⋊C4×C29—22no—
192C22⋊C4×C29—42no—
193C22⋊C4×C29—42no—
194C22⋊C4×C29—81no—
195C22⋊C4×C29—81no—
196C22⋊C4×C29—81no—
197C42×C29—21no—
198C42×C29—21no—
199C42×C29—21no—
200C42×C29—21no—
201C42×C29—42no—
202C42×C29—81no—
203#27049C2911yesmaximal, characteristic, direct product factor, Sylow
204C23×C29—21no—
205C23×C29—21no—
206C23×C29—21no—
207C23×C29—21no—
208C23×C29—21no—
209C23×C29—21no—
210C23×C29—22no—
211C23×C29—41no—
212C23×C29—41no—
213C23×C29—41no—
214C23×C29—41no—
215C23×C29—41no—
216C23×C29—41no—
217C23×C29#13712yes—
218C23×C29C22×D411yescharacteristic
219D4×C29—22no—
220D4×C29—22no—
221D4×C29—48no—
222D4×C29—41no—
223D4×C29—41no—
224C2×C4×C29—21no—
225C2×C4×C29—21no—
226C2×C4×C29—21no—
227C2×C4×C29—22no—
228C2×C4×C29—21no—
229C2×C4×C29—21no—
230C2×C4×C29—22no—
231C2×C4×C29—21no—
232C2×C4×C29—21no—
233C2×C4×C29—21no—
234C2×C4×C29—21no—
235C2×C4×C29—21no—
236C2×C4×C29—21no—
237C2×C4×C29—21no—
238C2×C4×C29—21no—
239C2×C4×C29—21no—
240C2×C4×C29—41no—
241C2×C4×C29—41no—
242C2×C4×C29—41no—
243C2×C4×C29—41no—
244C2×C4×C29—41no—
245C2×C4×C29—41no—
246C2×C4×C29—41no—
247C2×C4×C29—41no—
248C2×C4×C29—41no—
249C2×C4×C29—41no—
250C2×C4×C29—41no—
251C2×C4×C29—41no—
252C2×C4×C29—41no—
253C2×C4×C29—41no—
254C2×C4×C29—41no—
255C2×C4×C29—41no—
256C2×C4×C29—41no—
257C2×C4×C29—41no—
258C2×C4×C29—41no—
259C2×C4×C29—41no—
260C2×C4×C29—41no—
261C2×C4×C29—41no—
262C2×C4×C29—41no—
263C2×C4×C29—84no—
264C2×C4×C29—84no—
265C2×C4×C29AGL(1,ℤ/8)12yes—
266C2×C4×C29C2×#4111yescharacteristic
267C2×C4×C29C2×#4111yescharacteristic
268C2×C4×C29C2×#4111yescharacteristic
269C2×C4×C29C2×#4111yescharacteristic
270C2×C4×C29H(5,𝔽2)11yescharacteristic
271C2×C4×C292−1+411yescharacteristic
272C8×C29—22no—
273C8×C29—41no—
274C8×C29—41no—
275C8×C29—41no—
276#2497C2×C2911yescharacteristic, complemented
277#2361C2×C2911yescharacteristic
278#2071C2×C2911yescharacteristic, complemented
279#2067C2×C2911yescharacteristic, complemented
280#2034C2×C2911yescharacteristic
281#2034C2×C2911yescharacteristic
282#1948C2×C2911yescharacteristic, complemented
283#1944C2×C2911yescharacteristic, complemented
284#1924C2×C2911yescharacteristic, complemented
285#1920C2×C2911yescharacteristic, complemented
286#1918C2×C2911yescharacteristic, complemented
287#1862C2×C2911yescharacteristic, complemented
288#1852C2×C2911yescharacteristic, complemented
289#1824C2×C2911yescharacteristic, complemented
290#1762C2×C2911yescharacteristic, complemented
291C22×C29—22no—
292C22×C29—22no—
293C22×C29—22no—
294C22×C29—41no—
295C22×C29—41no—
296C22×C29—41no—
297C22×C29—41no—
298C22×C29—42no—
299C22×C29—42no—
300C22×C29—42no—
301C22×C29—81no—
302C22×C29—81no—
303C22×C29—81no—
304C22×C29—81no—
305C22×C29#52511yescharacteristic
306C22×C29#54611yescharacteristic
307C22×C29#54711yescharacteristic
308C22×C29C2×AGL(1,ℤ/8)11yescharacteristic
309C22×C29C2×#13711yescharacteristic
310C22×C29#57611yescharacteristic
311C22×C29#57711yescharacteristic
312C4×C29—22no—
313C4×C29—41no—
314C4×C29—42no—
315C4×C29—41no—
316C4×C29—41no—
317C4×C29—41no—
318C4×C29—42no—
319C4×C29—81no—
320C4×C29—81no—
321C4×C29—81no—
322C4×C29—81no—
323C4×C29—81no—
324C4×C29#52911yescharacteristic
325C4×C29#53911yescharacteristic
326C4×C29#55311yescharacteristic
327C4×C29#55611yescharacteristic
328C2×#121C22×C2911yescharacteristic
329C2×C4×D4—21no—
330C2×C4×D4C22×C2911yescharacteristic
331C22×C4⋊C4C22×C2911yescharacteristic
332C2×#107C22×C2911yescharacteristic
333C2×#107C22×C2911yescharacteristic
334C2×#106C22×C2911yescharacteristic
335C2×#106C22×C2911yescharacteristic
336C2×C4⋊C8C22×C2911yescharacteristic
337C2×#102C22×C2911yescharacteristic
338C2×#102C22×C2911yescharacteristic
339C2×#102C22×C2911yescharacteristic
340C2×#102C22×C2911yescharacteristic
341C2×C22⋊C8C22×C2911yescharacteristic
342C2×C22⋊C8C22×C2911yescharacteristic
343C2×#97C22×C2911yescharacteristic
344#400—21no—
345#396—21no—
346#390C22×C2911yescharacteristic
347#389C22×C2911yescharacteristic
348#389C22×C2911yescharacteristic
349#389C22×C2911yescharacteristic
350#388—21no—
351#388—21no—
352#387—21no—
353#386—21no—
354#385—21no—
355#384C22×C2911yescharacteristic
356#380C22×C2911yescharacteristic
357#380C22×C2911yescharacteristic
358C4×C4⋊C4C22×C2911yescharacteristic
359C4×C4⋊C4C22×C2911yescharacteristic
360C4×C22⋊C4C22×C2911yescharacteristic
361#340C22×C2911yescharacteristic
362#340C22×C2911yescharacteristic
363#340C22×C2911yescharacteristic
364#340C22×C2911yescharacteristic
365#340C22×C2911yescharacteristic
366#340C22×C2911yescharacteristic
367#340C22×C2911yescharacteristic
368#340C22×C2911yescharacteristic
369#336C22×C2911yescharacteristic
370#336C22×C2911yescharacteristic
371C2×C29—42no—
372C2×C29—82no—
373C2×C29#246611yescharacteristic
374C2×C29#311011yescharacteristic
375C2×C29#311911yescharacteristic
376C2×C29#331611yescharacteristic
377C2×C29#332511yescharacteristic
378C2×C29#334511yescharacteristic
379C2×C29#334611yescharacteristic
380C22×D4—21no—
381C22×D4C23×C2911yescharacteristic
382C23×C4—21no—
383C23×C4—21no—
384C23×C4C23×C2911yescharacteristic
385C22×C8C23×C2911yescharacteristic
386C22×C8C23×C2911yescharacteristic
387C22×C8C23×C2911yescharacteristic
388C22×C8C23×C2911yescharacteristic
389#121—22no—
390#121—22no—
391C4×D4—22no—
392C4×D4—41no—
393C4×D4—44no—
394C2×C4⋊C4—22no—
395C2×C4⋊C4—21no—
396C2×C4⋊C4—21no—
397C2×C4⋊C4—21no—
398C2×C4⋊C4—21no—
399C2×C4⋊C4—21no—
400C2×C4⋊C4—21no—
401C2×C4⋊C4—41no—
402C2×C4⋊C4C23×C2911yescharacteristic
403C2×C4⋊C4C23×C2911yescharacteristic
404C2×C4⋊C4C23×C2911yescharacteristic
405C2×C4⋊C4C23×C2911yescharacteristic
406C2×C4⋊C4C23×C2911yescharacteristic
407C2×C4⋊C4C23×C2911yescharacteristic
408C2×C4⋊C4C23×C2911yescharacteristic
409C2×C22⋊C4—21no—
410C2×C22⋊C4—21no—
411C2×C22⋊C4—21no—
412C2×C22⋊C4—21no—
413C2×C22⋊C4—21no—
414C2×C22⋊C4—21no—
415C2×C22⋊C4D4×C2911yescharacteristic
416C2×C22⋊C4D4×C2911yescharacteristic
417C2×C42—21no—
418C2×C42—21no—
419C2×C42C23×C2911yescharacteristic
420C2×C42C23×C2911yescharacteristic
421#107—22no—
422#107—41no—
423#106—22no—
424#106—22no—
425C4⋊C8—22no—
426#102—22no—
427#102—22no—
428#102—22no—
429#102—41no—
430C22⋊C8—22no—
431C22⋊C8—41no—
432#97—41no—
433#95—21no—
434#95—21no—
435#95—21no—
436#95—21no—
437#95—21no—
438#95—21no—
439#95—21no—
440#95D4×C2911yescharacteristic
441#95D4×C2911yescharacteristic
442C29#2704911yescharacteristic, direct product factor, Sylow
443C24—21no—
444C24C2×D4×C2911yescharacteristic
445C2×D4—24no—
446C2×D4—21no—
447C2×D4—21no—
448C2×D4—21no—
449C2×D4—21no—
450C2×D4—21no—
451C2×D4—42no—
452C2×D4—42no—
453C2×D4#41×C2912yes—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—81no—
472C22×C4—81no—
473C22×C4C2×D4×C2911yescharacteristic
474C22×C4C2×D4×C2911yescharacteristic
475C22×C4C2×D4×C2911yescharacteristic
476C22×C4C2×D4×C2911yescharacteristic
477C22×C4C2×D4×C2911yescharacteristic
478C22×C4C24×C2911yescharacteristic
479C2×C8—21no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8#41×C2912yes—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—42no—
504C4⋊C4—42no—
505C4⋊C4—42no—
506C4⋊C4—81no—
507C4⋊C4—81no—
508C4⋊C4—81no—
509C4⋊C4#41×C2912yes—
510C4⋊C4#41×C2912yes—
511C22⋊C4—24no—
512C22⋊C4—22no—
513C22⋊C4—22no—
514C22⋊C4—42no—
515C22⋊C4—42no—
516C22⋊C4—81no—
517C22⋊C4—81no—
518C22⋊C4—81no—
519C42—21no—
520C42—21no—
521C42—21no—
522C42—21no—
523C42—42no—
524C42—81no—
525C23—21no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23—21no—
530C23—21no—
531C23—22no—
532C23—41no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23C29×#13712yes—
539C23C22×D4×C2911yescharacteristic
540D4—22no—
541D4—22no—
542D4—48no—
543D4—41no—
544D4—41no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—22no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—22no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—84no—
585C2×C4—84no—
586C2×C4C29×AGL(1,ℤ/8)12yes—
587C2×C4C2×#41×C2911yescharacteristic
588C2×C4C2×#41×C2911yescharacteristic
589C2×C4C2×#41×C2911yescharacteristic
590C2×C4C2×#41×C2911yescharacteristic
591C2×C4C29×H(5,𝔽2)11yescharacteristic
592C2×C4C29×2−1+411yescharacteristic
593C8—22no—
594C8—41no—
595C8—41no—
596C8—41no—
597C22—22no—
598C22—22no—
599C22—22no—
600C22—41no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—42no—
605C22—42no—
606C22—42no—
607C22—81no—
608C22—81no—
609C22—81no—
610C22—81no—
611C22C29×#52511yescharacteristic
612C22C29×#54611yescharacteristic
613C22C29×#54711yescharacteristic
614C22C2×C29×AGL(1,ℤ/8)11yescharacteristic
615C22C2×C29×#13711yescharacteristic
616C22C29×#57611yescharacteristic
617C22C29×#57711yescharacteristic
618C4—22no—
619C4—41no—
620C4—41no—
621C4—41no—
622C4—42no—
623C4—41no—
624C4—42no—
625C4—81no—
626C4—81no—
627C4—81no—
628C4—81no—
629C4—81no—
630C4C29×#52911yescharacteristic
631C4C29×#53911yescharacteristic
632C4C29×#55311yescharacteristic
633C4C29×#55611yescharacteristic
634C2—42no—
635C2—82no—
636C2C29×#246611yescharacteristic
637C2C29×#311011yescharacteristic
638C2C29×#311911yescharacteristic
639C2C29×#331611yescharacteristic
640C2C29×#332511yescharacteristic
641C2C29×#334511yescharacteristic
642C2C29×#334611yescharacteristic
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. C29×#2497C2semidirect
3. C29×#2071C2semidirect
4. C29×#2067C2semidirect
7. C29×#1948C2semidirect
8. C29×#1944C2semidirect
9. C29×#1924C2semidirect
10. C29×#1920C2semidirect
11. C29×#1918C2semidirect
12. C29×#1862C2semidirect
13. C29×#1852C2semidirect
14. C29×#1824C2semidirect
15. C29×#1762C2semidirect
203. #27049C29direct (N × H)
276. #2497C2×C29semidirect
278. #2071C2×C29semidirect
279. #2067C2×C29semidirect
282. #1948C2×C29semidirect
283. #1944C2×C29semidirect
284. #1924C2×C29semidirect
285. #1920C2×C29semidirect
286. #1918C2×C29semidirect
287. #1862C2×C29semidirect
288. #1852C2×C29semidirect
289. #1824C2×C29semidirect
290. #1762C2×C29semidirect
442. C29#27049direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#24972
C29×#23612
C29×#20712
C29×#20672
C29×#20342
C29×#19482
C29×#19442
C29×#19242
C29×#19202
C29×#19182
C29×#18622
C29×#18522
C29×#18242
C29×#17622
#2704929