Finite Group Databasebeta

← C29×#22434 #20317334

Subgroups — C29×#22434 #20317334

Order 7424.

1494 conjugacy classes of subgroups.

The subgroup lattice has 1244 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×#41×C29C211yesmaximal, characteristic
2D4×M16×C29C211yesmaximal, characteristic, complemented
3C2×C29×#421C211yesmaximal, characteristic, complemented
4C22×C29×#104C211yesmaximal, characteristic, complemented
5C29×#2290C211yesmaximal, characteristic, complemented
6C29×#1980C211yesmaximal, characteristic, complemented
7C29×#1963C211yesmaximal, characteristic, complemented
8C29×#1897C211yesmaximal, characteristic, complemented
9C29×#1896C211yesmaximal, characteristic, complemented
10C29×#1871C211yesmaximal, characteristic, complemented
11C29×#1871C211yesmaximal, characteristic, complemented
12C29×#1806C211yesmaximal, characteristic, complemented
13C29×#1789C211yesmaximal, characteristic, complemented
14C29×#1789C211yesmaximal, characteristic, complemented
15C29×#1759C211yesmaximal, characteristic, complemented
16C22×#41×C29C2211yescharacteristic
17C22×#41×C29C2211yescharacteristic
18C22×M16×C29C2211yescharacteristic, complemented
19C22×M16×C29C2211yescharacteristic, complemented
20C29×#550C411yescharacteristic, complemented
21D4×Q8×C29C411yescharacteristic, complemented
22C29×#548C411yescharacteristic, complemented
23C29×#548C411yescharacteristic, complemented
24C29×#547—21no—
25C29×#547C411yescharacteristic, complemented
26C29×#546—21no—
27C29×#546—21no—
28C29×#546C411yescharacteristic, complemented
29C29×#546C411yescharacteristic, complemented
30D42×C29—21no—
31D42×C29C411yescharacteristic, complemented
32C29×#532—21no—
33C29×#532C2211yescharacteristic
34C29×#525—21no—
35C29×#525—21no—
36C29×#525C2211yescharacteristic
37C29×#525C2211yescharacteristic
38C4×#41×C29C2211yescharacteristic
39C2×C4×D4×C29—21no—
40C2×C4×D4×C29C2211yescharacteristic
41C2×C29×#117C2211yescharacteristic, complemented
42C22×C42×C29C2211yescharacteristic, complemented
43C29×#436—21no—
44C29×#435—21no—
45C29×#435—21no—
46C8×D4×C29—21no—
47C29×#423C2211yescharacteristic, complemented
48C29×#421—24no—
49C2×C29×#104—24no—
50C2×C29×#104C2211yescharacteristic
51C2×C29×#104C2211yescharacteristic
52C2×C29×#104C2211yescharacteristic
53C2×C29×#104C2211yescharacteristic
54C2×C29×#104C2211yescharacteristic, complemented
55C2×C29×#104C2211yescharacteristic, complemented
56C2×C29×#104C2211yescharacteristic, complemented
57C2×C29×#104C2211yescharacteristic, complemented
58C2×C29×#104C2211yescharacteristic, complemented
59C2×C29×#104C2211yescharacteristic, complemented
60C2×C29×#104C2211yescharacteristic, complemented
61C2×C29×#104C2211yescharacteristic, complemented
62C29×#407C2211yescharacteristic, complemented
63C29×#407C2211yescharacteristic, complemented
64C4×M16×C29C2211yescharacteristic, complemented
65C29×#388—21no—
66C29×#387—21no—
67C29×#386—21no—
68C29×#385—21no—
69C4×C4⋊C4×C29C2211yescharacteristic, complemented
70C4×C22⋊C4×C29C2211yescharacteristic, complemented
71C4×C22⋊C4×C29C2211yescharacteristic, complemented
72C29×#376C2211yescharacteristic, complemented
73C29×#339C2211yescharacteristic, complemented
74C29×#339C2211yescharacteristic, complemented
75C29×#339C2211yescharacteristic, complemented
76C29×#339C2211yescharacteristic, complemented
77C2×#41×C29—21no—
78C2×#41×C29—21no—
79C2×#41×C29—21no—
80C2×#41×C29—21no—
81C2×#41×C29—22no—
82C2×#41×C29—22no—
83C2×#41×C29—22no—
84C2×#41×C29—22no—
85C2×#41×C29—41no—
86C2×#41×C29—41no—
87C2×#41×C29—41no—
88C2×#41×C29—41no—
89C2×#41×C29C2×C411yescharacteristic
90C2×#41×C29C2×C411yescharacteristic
91C2×#41×C29C2×C411yescharacteristic, complemented
92C2×#41×C29C2×C411yescharacteristic, complemented
93C2×#41×C29C2311yescharacteristic
94C2×#41×C29C2311yescharacteristic
95C2×#41×C29C2311yescharacteristic
96C22×Q8×C29C2×C411yescharacteristic
97C22×Q8×C29C2×C411yescharacteristic, complemented
98C22×D4×C29—21no—
99C22×D4×C29—21no—
100C22×D4×C29—21no—
101C22×D4×C29C2×C411yescharacteristic
102C22×D4×C29C2×C411yescharacteristic, complemented
103C22×D4×C29D411yescharacteristic
104C23×C4×C29—21no—
105C23×C4×C29—21no—
106C23×C4×C29—21no—
107C23×C4×C29C2311yescharacteristic
108C23×C4×C29C2311yescharacteristic
109C2×M16×C29—21no—
110C2×M16×C29—21no—
111C2×M16×C29—22no—
112C2×M16×C29—22no—
113C2×M16×C29—41no—
114C2×M16×C29—41no—
115C2×M16×C29C2311yescharacteristic
116C2×M16×C29C2311yescharacteristic
117C2×M16×C29C2311yescharacteristic
118C2×M16×C29C2311yescharacteristic
119C22×C8×C29—21no—
120C22×C8×C29—21no—
121C29×C4⋊Q8—21no—
122C29×C4⋊Q8C2×C411yescharacteristic, complemented
123C29×#127—21no—
124C29×#127C2×C411yescharacteristic, complemented
125C29×#124—21no—
126C29×#124—21no—
127C29×#124C2×C411yescharacteristic, complemented
128C29×#124C2×C411yescharacteristic, complemented
129C29×#123—21no—
130C29×#123—21no—
131C29×#123—21no—
132C29×#123—21no—
133C29×#123—21no—
134C29×#123—21no—
135C29×C22⋊Q8—21no—
136C29×C22⋊Q8—21no—
137C29×C22⋊Q8—21no—
138C29×C22⋊Q8—21no—
139C29×C22⋊Q8C2×C411yescharacteristic
140C29×C22⋊Q8C2×C411yescharacteristic
141C29×C22⋊Q8C2×C411yescharacteristic, complemented
142C29×C22⋊Q8C2×C411yescharacteristic, complemented
143C29×#121—21no—
144C29×#121—21no—
145C29×#121—21no—
146C29×#121—21no—
147C29×#121—21no—
148C29×#121—21no—
149C29×#121—21no—
150C29×#121—21no—
151C29×#121—21no—
152C29×#121—21no—
153C29×#121C2×C411yescharacteristic
154C29×#121C2×C411yescharacteristic
155C29×#121C2×C411yescharacteristic, complemented
156C29×#121C2×C411yescharacteristic, complemented
157C29×#120—21no—
158C29×#120—21no—
159C29×#120—21no—
160C29×#120—21no—
161C29×#120—21no—
162C29×#120—21no—
163C4×Q8×C29C2×C411yescharacteristic, complemented
164C4×Q8×C29C2×C411yescharacteristic, complemented
165C4×D4×C29—21no—
166C4×D4×C29—21no—
167C4×D4×C29—21no—
168C4×D4×C29—21no—
169C4×D4×C29—21no—
170C4×D4×C29—21no—
171C4×D4×C29—21no—
172C4×D4×C29—21no—
173C4×D4×C29—21no—
174C4×D4×C29—21no—
175C4×D4×C29—21no—
176C4×D4×C29—21no—
177C4×D4×C29C2×C411yescharacteristic
178C4×D4×C29C2×C411yescharacteristic
179C4×D4×C29C2×C411yescharacteristic
180C4×D4×C29C2×C411yescharacteristic
181C4×D4×C29C2×C411yescharacteristic, complemented
182C4×D4×C29C2×C411yescharacteristic, complemented
183C4×D4×C29D411yescharacteristic
184C4×D4×C29D411yescharacteristic
185C4×D4×C29D411yescharacteristic
186C4×D4×C29D411yescharacteristic
187C29×#117—21no—
188C29×#117—22no—
189C29×#117—41no—
190C29×#117C2311yescharacteristic
191C2×C4⋊C4×C29—21no—
192C2×C4⋊C4×C29—21no—
193C2×C4⋊C4×C29—21no—
194C2×C4⋊C4×C29D411yescharacteristic
195C2×C22⋊C4×C29—21no—
196C2×C22⋊C4×C29—21no—
197C2×C22⋊C4×C29—21no—
198C2×C22⋊C4×C29—21no—
199C2×C22⋊C4×C29—21no—
200C2×C22⋊C4×C29D411yescharacteristic
201C2×C22⋊C4×C29D411yescharacteristic
202C2×C42×C29—21no—
203C2×C42×C29—22no—
204C2×C42×C29—21no—
205C2×C42×C29—41no—
206C2×C42×C29C2311yescharacteristic
207C2×C42×C29C2311yescharacteristic
208C2×C42×C29C2311yescharacteristic
209C2×C42×C29C2311yescharacteristic
210C2×C42×C29C2311yescharacteristic
211C29×C4⋊C8—21no—
212C29×C4⋊C8—21no—
213C29×#104—22no—
214C29×#104—22no—
215C29×#104—22no—
216C29×#104—22no—
217C29×#104—22no—
218C29×#104—22no—
219C29×#104—22no—
220C29×#104—41no—
221C29×#104—41no—
222C29×#104—41no—
223C29×#104—41no—
224C29×#104D414yescomplemented
225C29×C22⋊C8—21no—
226C29×C22⋊C8—21no—
227C29×C22⋊C8—21no—
228C29×C22⋊C8—21no—
229C29×#97—21no—
230C4×C8×C29—21no—
231C29×#95—21no—
232C29×#95—21no—
233C29×#95—21no—
234C29×#95—21no—
235C29×#95—21no—
236C24×C29—21no—
237C24×C29—21no—
238C24×C29C2×D411yescharacteristic
239C24×C29C2×D411yescharacteristic
240#41×C29—21no—
241#41×C29—21no—
242#41×C29—22no—
243#41×C29—22no—
244#41×C29—22no—
245#41×C29—22no—
246#41×C29—21no—
247#41×C29—21no—
248#41×C29—21no—
249#41×C29—21no—
250#41×C29—21no—
251#41×C29—21no—
252#41×C29—21no—
253#41×C29—21no—
254#41×C29—42no—
255#41×C29—42no—
256#41×C29—42no—
257#41×C29—42no—
258#41×C29—41no—
259#41×C29—41no—
260#41×C29—41no—
261#41×C29—41no—
262#41×C29—42no—
263#41×C29—42no—
264#41×C29—42no—
265#41×C29—42no—
266#41×C29C2×D412yes—
267#41×C29#4112yes—
268C2×Q8×C29—21no—
269C2×Q8×C29—21no—
270C2×Q8×C29—22no—
271C2×Q8×C29—22no—
272C2×Q8×C29—41no—
273C2×Q8×C29—41no—
274C2×Q8×C29C22×C411yescharacteristic
275C2×Q8×C29C22×C411yescharacteristic
276C2×Q8×C29C22×C411yescharacteristic
277C2×D4×C29—21no—
278C2×D4×C29—22no—
279C2×D4×C29—22no—
280C2×D4×C29—21no—
281C2×D4×C29—21no—
282C2×D4×C29—21no—
283C2×D4×C29—21no—
284C2×D4×C29—21no—
285C2×D4×C29—21no—
286C2×D4×C29—21no—
287C2×D4×C29—21no—
288C2×D4×C29—21no—
289C2×D4×C29—21no—
290C2×D4×C29—21no—
291C2×D4×C29—21no—
292C2×D4×C29—21no—
293C2×D4×C29—21no—
294C2×D4×C29—41no—
295C2×D4×C29—41no—
296C2×D4×C29—42no—
297C2×D4×C29—42no—
298C2×D4×C29—42no—
299C2×D4×C29—42no—
300C2×D4×C29—42no—
301C2×D4×C29—44no—
302C2×D4×C29C22⋊C411yescharacteristic
303C2×D4×C29C22⋊C411yescharacteristic
304C2×D4×C29C22⋊C411yescharacteristic
305C2×D4×C29C22⋊C411yescharacteristic
306C2×D4×C29C22×C411yescharacteristic
307C2×D4×C29C22×C411yescharacteristic
308C2×D4×C29C22×C411yescharacteristic
309C22×C4×C29—21no—
310C22×C4×C29—21no—
311C22×C4×C29—21no—
312C22×C4×C29—21no—
313C22×C4×C29—21no—
314C22×C4×C29—21no—
315C22×C4×C29—21no—
316C22×C4×C29—21no—
317C22×C4×C29—21no—
318C22×C4×C29—21no—
319C22×C4×C29—21no—
320C22×C4×C29—21no—
321C22×C4×C29—21no—
322C22×C4×C29—21no—
323C22×C4×C29—21no—
324C22×C4×C29—21no—
325C22×C4×C29—21no—
326C22×C4×C29—21no—
327C22×C4×C29—21no—
328C22×C4×C29—21no—
329C22×C4×C29—21no—
330C22×C4×C29—21no—
331C22×C4×C29—21no—
332C22×C4×C29—42no—
333C22×C4×C29—42no—
334C22×C4×C29—42no—
335C22×C4×C29—42no—
336C22×C4×C29—42no—
337C22×C4×C29—42no—
338C22×C4×C29—42no—
339C22×C4×C29C22×C411yescharacteristic
340C22×C4×C29C22×C411yescharacteristic
341C22×C4×C29C22×C411yescharacteristic
342C22×C4×C29C22×C411yescharacteristic
343C22×C4×C29C2×D411yescharacteristic
344C22×C4×C29C2×D411yescharacteristic
345C22×C4×C29C2×D411yescharacteristic
346C22×C4×C29C2×D411yescharacteristic
347C22×C4×C29C2×D411yescharacteristic
348C22×C4×C29C2×D411yescharacteristic
349C22×C4×C29C2×D411yescharacteristic
350C22×C4×C29C2×D411yescharacteristic
351C22×C4×C29C2411yescharacteristic
352M16×C29—21no—
353M16×C29—21no—
354M16×C29—21no—
355M16×C29—21no—
356M16×C29—21no—
357M16×C29—21no—
358M16×C29—21no—
359M16×C29—42no—
360M16×C29—42no—
361M16×C29C2×D412yescomplemented
362C2×C8×C29—21no—
363C2×C8×C29—21no—
364C2×C8×C29—21no—
365C2×C8×C29—21no—
366C2×C8×C29—42no—
367C2×C8×C29—42no—
368C4⋊C4×C29—21no—
369C4⋊C4×C29—21no—
370C4⋊C4×C29—21no—
371C4⋊C4×C29—21no—
372C4⋊C4×C29—21no—
373C4⋊C4×C29—21no—
374C4⋊C4×C29—21no—
375C4⋊C4×C29—21no—
376C4⋊C4×C29—42no—
377C4⋊C4×C29—42no—
378C4⋊C4×C29C22⋊C411yescharacteristic
379C4⋊C4×C29C22⋊C411yescharacteristic
380C4⋊C4×C29C22⋊C411yescharacteristic
381C4⋊C4×C29C22⋊C411yescharacteristic
382C4⋊C4×C29C22×C411yescharacteristic
383C4⋊C4×C29C22×C411yescharacteristic
384C22⋊C4×C29—21no—
385C22⋊C4×C29—21no—
386C22⋊C4×C29—21no—
387C22⋊C4×C29—21no—
388C22⋊C4×C29—21no—
389C22⋊C4×C29—21no—
390C22⋊C4×C29—21no—
391C22⋊C4×C29—21no—
392C22⋊C4×C29—21no—
393C22⋊C4×C29—21no—
394C22⋊C4×C29—21no—
395C22⋊C4×C29—21no—
396C22⋊C4×C29—21no—
397C22⋊C4×C29—21no—
398C22⋊C4×C29—21no—
399C22⋊C4×C29—42no—
400C22⋊C4×C29—42no—
401C22⋊C4×C29—42no—
402C22⋊C4×C29C22⋊C411yescharacteristic
403C22⋊C4×C29C22⋊C411yescharacteristic
404C22⋊C4×C29C22⋊C411yescharacteristic
405C22⋊C4×C29C22⋊C411yescharacteristic
406C22⋊C4×C29C22⋊C411yescharacteristic
407C22⋊C4×C29C22⋊C411yescharacteristic
408C22⋊C4×C29C22⋊C411yescharacteristic
409C22⋊C4×C29C22⋊C411yescharacteristic
410C42×C29—21no—
411C42×C29—21no—
412C42×C29—21no—
413C42×C29—21no—
414C42×C29—21no—
415C42×C29—21no—
416C42×C29—21no—
417C42×C29—21no—
418C42×C29—21no—
419C42×C29—21no—
420C42×C29—42no—
421C42×C29C22×C411yescharacteristic
422C42×C29C22×C411yescharacteristic
423C42×C29C2×D411yescharacteristic
424C42×C29C2×D411yescharacteristic
425C42×C29C2×D412yescomplemented
426#22434C2911yesmaximal, characteristic, direct product factor, Sylow
427C23×C29—21no—
428C23×C29—21no—
429C23×C29—21no—
430C23×C29—22no—
431C23×C29—21no—
432C23×C29—21no—
433C23×C29—21no—
434C23×C29—21no—
435C23×C29—41no—
436C23×C29—41no—
437C23×C29—41no—
438C23×C29—42no—
439C23×C29—42no—
440C23×C29—42no—
441C23×C29—42no—
442C23×C29—81no—
443C23×C29—81no—
444C23×C29C2×C22⋊C411yescharacteristic
445C23×C29C2×C22⋊C411yescharacteristic
446C23×C29C2×C22⋊C411yescharacteristic
447C23×C29C2×C22⋊C411yescharacteristic
448C23×C29C22×D411yescharacteristic
449Q8×C29—21no—
450Q8×C29—21no—
451Q8×C29—21no—
452Q8×C29—21no—
453Q8×C29—21no—
454Q8×C29—42no—
455Q8×C29—42no—
456Q8×C29C4×D412yes—
457D4×C29—22no—
458D4×C29—22no—
459D4×C29—22no—
460D4×C29—22no—
461D4×C29—21no—
462D4×C29—21no—
463D4×C29—21no—
464D4×C29—21no—
465D4×C29—21no—
466D4×C29—41no—
467D4×C29—41no—
468D4×C29—42no—
469D4×C29—42no—
470D4×C29—42no—
471D4×C29—42no—
472D4×C29—42no—
473D4×C29—42no—
474D4×C29—42no—
475D4×C29—42no—
476D4×C29—41no—
477D4×C29—41no—
478D4×C29—41no—
479D4×C29—41no—
480D4×C29—42no—
481D4×C29—81no—
482D4×C29—81no—
483D4×C29—81no—
484D4×C29C4×D412yes—
485C2×C4×C29—21no—
486C2×C4×C29—21no—
487C2×C4×C29—21no—
488C2×C4×C29—21no—
489C2×C4×C29—21no—
490C2×C4×C29—21no—
491C2×C4×C29—21no—
492C2×C4×C29—21no—
493C2×C4×C29—21no—
494C2×C4×C29—21no—
495C2×C4×C29—21no—
496C2×C4×C29—21no—
497C2×C4×C29—21no—
498C2×C4×C29—21no—
499C2×C4×C29—21no—
500C2×C4×C29—21no—
501C2×C4×C29—21no—
502C2×C4×C29—22no—
503C2×C4×C29—21no—
504C2×C4×C29—21no—
505C2×C4×C29—21no—
506C2×C4×C29—21no—
507C2×C4×C29—22no—
508C2×C4×C29—22no—
509C2×C4×C29—21no—
510C2×C4×C29—21no—
511C2×C4×C29—21no—
512C2×C4×C29—21no—
513C2×C4×C29—22no—
514C2×C4×C29—41no—
515C2×C4×C29—41no—
516C2×C4×C29—42no—
517C2×C4×C29—42no—
518C2×C4×C29—42no—
519C2×C4×C29—42no—
520C2×C4×C29—42no—
521C2×C4×C29—42no—
522C2×C4×C29—42no—
523C2×C4×C29—41no—
524C2×C4×C29—41no—
525C2×C4×C29—41no—
526C2×C4×C29—48no—
527C2×C4×C29—41no—
528C2×C4×C29—41no—
529C2×C4×C29—41no—
530C2×C4×C29—41no—
531C2×C4×C29—41no—
532C2×C4×C29—41no—
533C2×C4×C29—41no—
534C2×C4×C29—41no—
535C2×C4×C29—41no—
536C2×C4×C29—41no—
537C2×C4×C29—41no—
538C2×C4×C29—81no—
539C2×C4×C29C2×C22⋊C411yescharacteristic
540C2×C4×C29C2×C22⋊C411yescharacteristic
541C2×C4×C29C2×C22⋊C411yescharacteristic
542C2×C4×C29C2×C22⋊C411yescharacteristic
543C2×C4×C29C2×C22⋊C411yescharacteristic
544C2×C4×C29C2×C22⋊C411yescharacteristic
545C2×C4×C29C2×C22⋊C411yescharacteristic
546C2×C4×C29C2×C22⋊C411yescharacteristic
547C2×C4×C29C23×C411yescharacteristic
548C2×C4×C29C22×D411yescharacteristic
549C2×C4×C29C22×D411yescharacteristic
550C2×C4×C29C2×#4111yescharacteristic
551C2×C4×C29H(5,𝔽2)11yescharacteristic
552C2×C4×C29H(5,𝔽2)11yescharacteristic
553C8×C29—22no—
554C8×C29—41no—
555C8×C29—41no—
556C8×C29—41no—
557D4×#41C2×C2911yescharacteristic
558D4×M16C2×C2911yescharacteristic, complemented
559C2×#421C2×C2911yescharacteristic, complemented
560C22×#104C2×C2911yescharacteristic, complemented
561#2290C2×C2911yescharacteristic, complemented
562#1980C2×C2911yescharacteristic, complemented
563#1963C2×C2911yescharacteristic, complemented
564#1897C2×C2911yescharacteristic, complemented
565#1896C2×C2911yescharacteristic, complemented
566#1871C2×C2911yescharacteristic, complemented
567#1871C2×C2911yescharacteristic, complemented
568#1806C2×C2911yescharacteristic, complemented
569#1789C2×C2911yescharacteristic, complemented
570#1789C2×C2911yescharacteristic, complemented
571#1759C2×C2911yescharacteristic, complemented
572C22×C29—21no—
573C22×C29—21no—
574C22×C29—21no—
575C22×C29—21no—
576C22×C29—21no—
577C22×C29—21no—
578C22×C29—21no—
579C22×C29—22no—
580C22×C29—21no—
581C22×C29—21no—
582C22×C29—21no—
583C22×C29—21no—
584C22×C29—21no—
585C22×C29—21no—
586C22×C29—42no—
587C22×C29—42no—
588C22×C29—41no—
589C22×C29—41no—
590C22×C29—41no—
591C22×C29—41no—
592C22×C29—41no—
593C22×C29—41no—
594C22×C29—41no—
595C22×C29—41no—
596C22×C29—81no—
597C22×C29—81no—
598C22×C29—84no—
599C22×C29—84no—
600C22×C29#42112yescomplemented
601C22×C29C22×C22⋊C411yescharacteristic
602C22×C29D4211yescharacteristic
603C22×C29#54611yescharacteristic
604C4×C29—21no—
605C4×C29—21no—
606C4×C29—21no—
607C4×C29—21no—
608C4×C29—22no—
609C4×C29—21no—
610C4×C29—21no—
611C4×C29—21no—
612C4×C29—21no—
613C4×C29—42no—
614C4×C29—42no—
615C4×C29—41no—
616C4×C29—41no—
617C4×C29—41no—
618C4×C29—41no—
619C4×C29—81no—
620C4×C29—81no—
621C4×C29C2×C4×D411yescharacteristic
622C4×C29#51811yescharacteristic
623C4×C29D4211yescharacteristic
624C4×C29#54611yescharacteristic
625C22×#41C22×C2911yescharacteristic
626C22×#41C22×C2911yescharacteristic
627C22×M16C22×C2911yescharacteristic, complemented
628C22×M16C22×C2911yescharacteristic, complemented
629#550C4×C2911yescharacteristic, complemented
630D4×Q8C4×C2911yescharacteristic, complemented
631#548C4×C2911yescharacteristic, complemented
632#548C4×C2911yescharacteristic, complemented
633#547—21no—
634#547C4×C2911yescharacteristic, complemented
635#546—21no—
636#546—21no—
637#546C4×C2911yescharacteristic, complemented
638#546C4×C2911yescharacteristic, complemented
639D42—21no—
640D42C4×C2911yescharacteristic, complemented
641#532—21no—
642#532C22×C2911yescharacteristic
643#525—21no—
644#525—21no—
645#525C22×C2911yescharacteristic
646#525C22×C2911yescharacteristic
647C4×#41C22×C2911yescharacteristic
648C2×C4×D4—21no—
649C2×C4×D4C22×C2911yescharacteristic
650C2×#117C22×C2911yescharacteristic, complemented
651C22×C42C22×C2911yescharacteristic, complemented
652#436—21no—
653#435—21no—
654#435—21no—
655C8×D4—21no—
656#423C22×C2911yescharacteristic, complemented
657#421—24no—
658C2×#104—24no—
659C2×#104C22×C2911yescharacteristic
660C2×#104C22×C2911yescharacteristic
661C2×#104C22×C2911yescharacteristic
662C2×#104C22×C2911yescharacteristic
663C2×#104C22×C2911yescharacteristic, complemented
664C2×#104C22×C2911yescharacteristic, complemented
665C2×#104C22×C2911yescharacteristic, complemented
666C2×#104C22×C2911yescharacteristic, complemented
667C2×#104C22×C2911yescharacteristic, complemented
668C2×#104C22×C2911yescharacteristic, complemented
669C2×#104C22×C2911yescharacteristic, complemented
670C2×#104C22×C2911yescharacteristic, complemented
671#407C22×C2911yescharacteristic, complemented
672#407C22×C2911yescharacteristic, complemented
673C4×M16C22×C2911yescharacteristic, complemented
674#388—21no—
675#387—21no—
676#386—21no—
677#385—21no—
678C4×C4⋊C4C22×C2911yescharacteristic, complemented
679C4×C22⋊C4C22×C2911yescharacteristic, complemented
680C4×C22⋊C4C22×C2911yescharacteristic, complemented
681#376C22×C2911yescharacteristic, complemented
682#339C22×C2911yescharacteristic, complemented
683#339C22×C2911yescharacteristic, complemented
684#339C22×C2911yescharacteristic, complemented
685#339C22×C2911yescharacteristic, complemented
686C2×C29—21no—
687C2×C29—21no—
688C2×C29—22no—
689C2×C29—41no—
690C2×C29—41no—
691C2×C29—41no—
692C2×C29—42no—
693C2×C29—81no—
694C2×C29—81no—
695C2×C29D4×C22⋊C411yescharacteristic
696C2×C29C2×#42111yescharacteristic
697C2×C29#290111yescharacteristic
698C2×#41—21no—
699C2×#41—21no—
700C2×#41—21no—
701C2×#41—21no—
702C2×#41—22no—
703C2×#41—22no—
704C2×#41—22no—
705C2×#41—22no—
706C2×#41—41no—
707C2×#41—41no—
708C2×#41—41no—
709C2×#41—41no—
710C2×#41C2×C4×C2911yescharacteristic
711C2×#41C2×C4×C2911yescharacteristic
712C2×#41C2×C4×C2911yescharacteristic, complemented
713C2×#41C2×C4×C2911yescharacteristic, complemented
714C2×#41C23×C2911yescharacteristic
715C2×#41C23×C2911yescharacteristic
716C2×#41C23×C2911yescharacteristic
717C22×Q8C2×C4×C2911yescharacteristic
718C22×Q8C2×C4×C2911yescharacteristic, complemented
719C22×D4—21no—
720C22×D4—21no—
721C22×D4—21no—
722C22×D4C2×C4×C2911yescharacteristic
723C22×D4C2×C4×C2911yescharacteristic, complemented
724C22×D4D4×C2911yescharacteristic
725C23×C4—21no—
726C23×C4—21no—
727C23×C4—21no—
728C23×C4C23×C2911yescharacteristic
729C23×C4C23×C2911yescharacteristic
730C2×M16—21no—
731C2×M16—21no—
732C2×M16—22no—
733C2×M16—22no—
734C2×M16—41no—
735C2×M16—41no—
736C2×M16C23×C2911yescharacteristic
737C2×M16C23×C2911yescharacteristic
738C2×M16C23×C2911yescharacteristic
739C2×M16C23×C2911yescharacteristic
740C22×C8—21no—
741C22×C8—21no—
742C4⋊Q8—21no—
743C4⋊Q8C2×C4×C2911yescharacteristic, complemented
744#127—21no—
745#127C2×C4×C2911yescharacteristic, complemented
746#124—21no—
747#124—21no—
748#124C2×C4×C2911yescharacteristic, complemented
749#124C2×C4×C2911yescharacteristic, complemented
750#123—21no—
751#123—21no—
752#123—21no—
753#123—21no—
754#123—21no—
755#123—21no—
756C22⋊Q8—21no—
757C22⋊Q8—21no—
758C22⋊Q8—21no—
759C22⋊Q8—21no—
760C22⋊Q8C2×C4×C2911yescharacteristic
761C22⋊Q8C2×C4×C2911yescharacteristic
762C22⋊Q8C2×C4×C2911yescharacteristic, complemented
763C22⋊Q8C2×C4×C2911yescharacteristic, complemented
764#121—21no—
765#121—21no—
766#121—21no—
767#121—21no—
768#121—21no—
769#121—21no—
770#121—21no—
771#121—21no—
772#121—21no—
773#121—21no—
774#121C2×C4×C2911yescharacteristic
775#121C2×C4×C2911yescharacteristic
776#121C2×C4×C2911yescharacteristic, complemented
777#121C2×C4×C2911yescharacteristic, complemented
778#120—21no—
779#120—21no—
780#120—21no—
781#120—21no—
782#120—21no—
783#120—21no—
784C4×Q8C2×C4×C2911yescharacteristic, complemented
785C4×Q8C2×C4×C2911yescharacteristic, complemented
786C4×D4—21no—
787C4×D4—21no—
788C4×D4—21no—
789C4×D4—21no—
790C4×D4—21no—
791C4×D4—21no—
792C4×D4—21no—
793C4×D4—21no—
794C4×D4—21no—
795C4×D4—21no—
796C4×D4—21no—
797C4×D4—21no—
798C4×D4C2×C4×C2911yescharacteristic
799C4×D4C2×C4×C2911yescharacteristic
800C4×D4C2×C4×C2911yescharacteristic
801C4×D4C2×C4×C2911yescharacteristic
802C4×D4C2×C4×C2911yescharacteristic, complemented
803C4×D4C2×C4×C2911yescharacteristic, complemented
804C4×D4D4×C2911yescharacteristic
805C4×D4D4×C2911yescharacteristic
806C4×D4D4×C2911yescharacteristic
807C4×D4D4×C2911yescharacteristic
808#117—21no—
809#117—22no—
810#117—41no—
811#117C23×C2911yescharacteristic
812C2×C4⋊C4—21no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4D4×C2911yescharacteristic
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4D4×C2911yescharacteristic
822C2×C22⋊C4D4×C2911yescharacteristic
823C2×C42—21no—
824C2×C42—22no—
825C2×C42—21no—
826C2×C42—41no—
827C2×C42C23×C2911yescharacteristic
828C2×C42C23×C2911yescharacteristic
829C2×C42C23×C2911yescharacteristic
830C2×C42C23×C2911yescharacteristic
831C2×C42C23×C2911yescharacteristic
832C4⋊C8—21no—
833C4⋊C8—21no—
834#104—22no—
835#104—22no—
836#104—22no—
837#104—22no—
838#104—22no—
839#104—22no—
840#104—22no—
841#104—41no—
842#104—41no—
843#104—41no—
844#104—41no—
845#104D4×C2914yescomplemented
846C22⋊C8—21no—
847C22⋊C8—21no—
848C22⋊C8—21no—
849C22⋊C8—21no—
850#97—21no—
851C4×C8—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857C29#2243411yescharacteristic, direct product factor, Sylow
858C24—21no—
859C24—21no—
860C24C2×D4×C2911yescharacteristic
861C24C2×D4×C2911yescharacteristic
862#41—21no—
863#41—21no—
864#41—22no—
865#41—22no—
866#41—22no—
867#41—22no—
868#41—21no—
869#41—21no—
870#41—21no—
871#41—21no—
872#41—21no—
873#41—21no—
874#41—21no—
875#41—21no—
876#41—42no—
877#41—42no—
878#41—42no—
879#41—42no—
880#41—41no—
881#41—41no—
882#41—41no—
883#41—41no—
884#41—42no—
885#41—42no—
886#41—42no—
887#41—42no—
888#41C2×D4×C2912yes—
889#41#41×C2912yes—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—22no—
893C2×Q8—22no—
894C2×Q8—41no—
895C2×Q8—41no—
896C2×Q8C22×C4×C2911yescharacteristic
897C2×Q8C22×C4×C2911yescharacteristic
898C2×Q8C22×C4×C2911yescharacteristic
899C2×D4—21no—
900C2×D4—22no—
901C2×D4—22no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—41no—
917C2×D4—41no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—44no—
924C2×D4C22⋊C4×C2911yescharacteristic
925C2×D4C22⋊C4×C2911yescharacteristic
926C2×D4C22⋊C4×C2911yescharacteristic
927C2×D4C22⋊C4×C2911yescharacteristic
928C2×D4C22×C4×C2911yescharacteristic
929C2×D4C22×C4×C2911yescharacteristic
930C2×D4C22×C4×C2911yescharacteristic
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—42no—
955C22×C4—42no—
956C22×C4—42no—
957C22×C4—42no—
958C22×C4—42no—
959C22×C4—42no—
960C22×C4—42no—
961C22×C4C22×C4×C2911yescharacteristic
962C22×C4C22×C4×C2911yescharacteristic
963C22×C4C22×C4×C2911yescharacteristic
964C22×C4C22×C4×C2911yescharacteristic
965C22×C4C2×D4×C2911yescharacteristic
966C22×C4C2×D4×C2911yescharacteristic
967C22×C4C2×D4×C2911yescharacteristic
968C22×C4C2×D4×C2911yescharacteristic
969C22×C4C2×D4×C2911yescharacteristic
970C22×C4C2×D4×C2911yescharacteristic
971C22×C4C2×D4×C2911yescharacteristic
972C22×C4C2×D4×C2911yescharacteristic
973C22×C4C24×C2911yescharacteristic
974M16—21no—
975M16—21no—
976M16—21no—
977M16—21no—
978M16—21no—
979M16—21no—
980M16—21no—
981M16—42no—
982M16—42no—
983M16C2×D4×C2912yescomplemented
984C2×C8—21no—
985C2×C8—21no—
986C2×C8—21no—
987C2×C8—21no—
988C2×C8—42no—
989C2×C8—42no—
990C4⋊C4—21no—
991C4⋊C4—21no—
992C4⋊C4—21no—
993C4⋊C4—21no—
994C4⋊C4—21no—
995C4⋊C4—21no—
996C4⋊C4—21no—
997C4⋊C4—21no—
998C4⋊C4—42no—
999C4⋊C4—42no—
1000C4⋊C4C22⋊C4×C2911yescharacteristic
1001C4⋊C4C22⋊C4×C2911yescharacteristic
1002C4⋊C4C22⋊C4×C2911yescharacteristic
1003C4⋊C4C22⋊C4×C2911yescharacteristic
1004C4⋊C4C22×C4×C2911yescharacteristic
1005C4⋊C4C22×C4×C2911yescharacteristic
1006C22⋊C4—21no—
1007C22⋊C4—21no—
1008C22⋊C4—21no—
1009C22⋊C4—21no—
1010C22⋊C4—21no—
1011C22⋊C4—21no—
1012C22⋊C4—21no—
1013C22⋊C4—21no—
1014C22⋊C4—21no—
1015C22⋊C4—21no—
1016C22⋊C4—21no—
1017C22⋊C4—21no—
1018C22⋊C4—21no—
1019C22⋊C4—21no—
1020C22⋊C4—21no—
1021C22⋊C4—42no—
1022C22⋊C4—42no—
1023C22⋊C4—42no—
1024C22⋊C4C22⋊C4×C2911yescharacteristic
1025C22⋊C4C22⋊C4×C2911yescharacteristic
1026C22⋊C4C22⋊C4×C2911yescharacteristic
1027C22⋊C4C22⋊C4×C2911yescharacteristic
1028C22⋊C4C22⋊C4×C2911yescharacteristic
1029C22⋊C4C22⋊C4×C2911yescharacteristic
1030C22⋊C4C22⋊C4×C2911yescharacteristic
1031C22⋊C4C22⋊C4×C2911yescharacteristic
1032C42—21no—
1033C42—21no—
1034C42—21no—
1035C42—21no—
1036C42—21no—
1037C42—21no—
1038C42—21no—
1039C42—21no—
1040C42—21no—
1041C42—21no—
1042C42—42no—
1043C42C22×C4×C2911yescharacteristic
1044C42C22×C4×C2911yescharacteristic
1045C42C2×D4×C2911yescharacteristic
1046C42C2×D4×C2911yescharacteristic
1047C42C2×D4×C2912yescomplemented
1048C23—21no—
1049C23—21no—
1050C23—21no—
1051C23—22no—
1052C23—21no—
1053C23—21no—
1054C23—21no—
1055C23—21no—
1056C23—41no—
1057C23—41no—
1058C23—41no—
1059C23—42no—
1060C23—42no—
1061C23—42no—
1062C23—42no—
1063C23—81no—
1064C23—81no—
1065C23C2×C22⋊C4×C2911yescharacteristic
1066C23C2×C22⋊C4×C2911yescharacteristic
1067C23C2×C22⋊C4×C2911yescharacteristic
1068C23C2×C22⋊C4×C2911yescharacteristic
1069C23C22×D4×C2911yescharacteristic
1070Q8—21no—
1071Q8—21no—
1072Q8—21no—
1073Q8—21no—
1074Q8—21no—
1075Q8—42no—
1076Q8—42no—
1077Q8C4×D4×C2912yes—
1078D4—22no—
1079D4—22no—
1080D4—22no—
1081D4—22no—
1082D4—21no—
1083D4—21no—
1084D4—21no—
1085D4—21no—
1086D4—21no—
1087D4—41no—
1088D4—41no—
1089D4—42no—
1090D4—42no—
1091D4—42no—
1092D4—42no—
1093D4—42no—
1094D4—42no—
1095D4—42no—
1096D4—42no—
1097D4—41no—
1098D4—41no—
1099D4—41no—
1100D4—41no—
1101D4—42no—
1102D4—81no—
1103D4—81no—
1104D4—81no—
1105D4C4×D4×C2912yes—
1106C2×C4—21no—
1107C2×C4—21no—
1108C2×C4—21no—
1109C2×C4—21no—
1110C2×C4—21no—
1111C2×C4—21no—
1112C2×C4—21no—
1113C2×C4—21no—
1114C2×C4—21no—
1115C2×C4—21no—
1116C2×C4—21no—
1117C2×C4—21no—
1118C2×C4—21no—
1119C2×C4—21no—
1120C2×C4—21no—
1121C2×C4—21no—
1122C2×C4—21no—
1123C2×C4—22no—
1124C2×C4—21no—
1125C2×C4—21no—
1126C2×C4—21no—
1127C2×C4—21no—
1128C2×C4—22no—
1129C2×C4—22no—
1130C2×C4—21no—
1131C2×C4—21no—
1132C2×C4—21no—
1133C2×C4—21no—
1134C2×C4—22no—
1135C2×C4—41no—
1136C2×C4—41no—
1137C2×C4—42no—
1138C2×C4—42no—
1139C2×C4—42no—
1140C2×C4—42no—
1141C2×C4—42no—
1142C2×C4—42no—
1143C2×C4—42no—
1144C2×C4—41no—
1145C2×C4—41no—
1146C2×C4—41no—
1147C2×C4—48no—
1148C2×C4—41no—
1149C2×C4—41no—
1150C2×C4—41no—
1151C2×C4—41no—
1152C2×C4—41no—
1153C2×C4—41no—
1154C2×C4—41no—
1155C2×C4—41no—
1156C2×C4—41no—
1157C2×C4—41no—
1158C2×C4—41no—
1159C2×C4—81no—
1160C2×C4C2×C22⋊C4×C2911yescharacteristic
1161C2×C4C2×C22⋊C4×C2911yescharacteristic
1162C2×C4C2×C22⋊C4×C2911yescharacteristic
1163C2×C4C2×C22⋊C4×C2911yescharacteristic
1164C2×C4C2×C22⋊C4×C2911yescharacteristic
1165C2×C4C2×C22⋊C4×C2911yescharacteristic
1166C2×C4C2×C22⋊C4×C2911yescharacteristic
1167C2×C4C2×C22⋊C4×C2911yescharacteristic
1168C2×C4C23×C4×C2911yescharacteristic
1169C2×C4C22×D4×C2911yescharacteristic
1170C2×C4C22×D4×C2911yescharacteristic
1171C2×C4C2×#41×C2911yescharacteristic
1172C2×C4C29×H(5,𝔽2)11yescharacteristic
1173C2×C4C29×H(5,𝔽2)11yescharacteristic
1174C8—22no—
1175C8—41no—
1176C8—41no—
1177C8—41no—
1178C22—21no—
1179C22—21no—
1180C22—21no—
1181C22—21no—
1182C22—21no—
1183C22—21no—
1184C22—21no—
1185C22—22no—
1186C22—21no—
1187C22—21no—
1188C22—21no—
1189C22—21no—
1190C22—21no—
1191C22—21no—
1192C22—42no—
1193C22—42no—
1194C22—41no—
1195C22—41no—
1196C22—41no—
1197C22—41no—
1198C22—41no—
1199C22—41no—
1200C22—41no—
1201C22—41no—
1202C22—81no—
1203C22—81no—
1204C22—84no—
1205C22—84no—
1206C22C29×#42112yescomplemented
1207C22C22×C22⋊C4×C2911yescharacteristic
1208C22D42×C2911yescharacteristic
1209C22C29×#54611yescharacteristic
1210C4—21no—
1211C4—21no—
1212C4—21no—
1213C4—21no—
1214C4—22no—
1215C4—21no—
1216C4—21no—
1217C4—21no—
1218C4—21no—
1219C4—42no—
1220C4—42no—
1221C4—41no—
1222C4—41no—
1223C4—41no—
1224C4—41no—
1225C4—81no—
1226C4—81no—
1227C4C2×C4×D4×C2911yescharacteristic
1228C4C29×#51811yescharacteristic
1229C4D42×C2911yescharacteristic
1230C4C29×#54611yescharacteristic
1231C2—21no—
1232C2—21no—
1233C2—22no—
1234C2—41no—
1235C2—41no—
1236C2—41no—
1237C2—42no—
1238C2—81no—
1239C2—81no—
1240C2D4×C22⋊C4×C2911yescharacteristic
1241C2C2×C29×#42111yescharacteristic
1242C2C29×#290111yescharacteristic
subgroupG/H
centerC2×C4×C29C22×D4
commutatorC2×C4C23×C4×C29
Frattini, cosocleC22×C4C24×C29
socleC22×C29C22×C22⋊C4
prime radicalD4×#41×C29C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C29 ◁ C2×C4×D4×C29 ◁ G

Complements

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

NH ≅ G/Ntype
2. D4×M16×C29C2semidirect
3. C2×C29×#421C2semidirect
4. C22×C29×#104C2semidirect
5. C29×#2290C2semidirect
6. C29×#1980C2semidirect
7. C29×#1963C2semidirect
8. C29×#1897C2semidirect
9. C29×#1896C2semidirect
10. C29×#1871C2semidirect
11. C29×#1871C2semidirect
12. C29×#1806C2semidirect
13. C29×#1789C2semidirect
14. C29×#1789C2semidirect
15. C29×#1759C2semidirect
18. C22×M16×C29C22semidirect
19. C22×M16×C29C22semidirect
20. C29×#550C4semidirect
21. D4×Q8×C29C4semidirect
22. C29×#548C4semidirect
23. C29×#548C4semidirect
25. C29×#547C4semidirect
28. C29×#546C4semidirect
29. C29×#546C4semidirect
31. D42×C29C4semidirect
41. C2×C29×#117C22semidirect
42. C22×C42×C29C22semidirect
47. C29×#423C22semidirect
54. C2×C29×#104C22semidirect
55. C2×C29×#104C22semidirect
56. C2×C29×#104C22semidirect
57. C2×C29×#104C22semidirect
58. C2×C29×#104C22semidirect
59. C2×C29×#104C22semidirect
60. C2×C29×#104C22semidirect
61. C2×C29×#104C22semidirect
62. C29×#407C22semidirect
63. C29×#407C22semidirect
64. C4×M16×C29C22semidirect
69. C4×C4⋊C4×C29C22semidirect
70. C4×C22⋊C4×C29C22semidirect
71. C4×C22⋊C4×C29C22semidirect
72. C29×#376C22semidirect
73. C29×#339C22semidirect
74. C29×#339C22semidirect
75. C29×#339C22semidirect
76. C29×#339C22semidirect
91. C2×#41×C29C2×C4semidirect
92. C2×#41×C29C2×C4semidirect
97. C22×Q8×C29C2×C4semidirect
102. C22×D4×C29C2×C4semidirect
122. C29×C4⋊Q8C2×C4semidirect
124. C29×#127C2×C4semidirect
127. C29×#124C2×C4semidirect
128. C29×#124C2×C4semidirect
141. C29×C22⋊Q8C2×C4semidirect
142. C29×C22⋊Q8C2×C4semidirect
155. C29×#121C2×C4semidirect
156. C29×#121C2×C4semidirect
163. C4×Q8×C29C2×C4semidirect
164. C4×Q8×C29C2×C4semidirect
181. C4×D4×C29C2×C4semidirect
182. C4×D4×C29C2×C4semidirect
224. C29×#104D4semidirect
361. M16×C29C2×D4semidirect
425. C42×C29C2×D4semidirect
426. #22434C29direct (N × H)
558. D4×M16C2×C29semidirect
559. C2×#421C2×C29semidirect
560. C22×#104C2×C29semidirect
561. #2290C2×C29semidirect
562. #1980C2×C29semidirect
563. #1963C2×C29semidirect
564. #1897C2×C29semidirect
565. #1896C2×C29semidirect
566. #1871C2×C29semidirect
567. #1871C2×C29semidirect
568. #1806C2×C29semidirect
569. #1789C2×C29semidirect
570. #1789C2×C29semidirect
571. #1759C2×C29semidirect
600. C22×C29#421semidirect
627. C22×M16C22×C29semidirect
628. C22×M16C22×C29semidirect
629. #550C4×C29semidirect
630. D4×Q8C4×C29semidirect
631. #548C4×C29semidirect
632. #548C4×C29semidirect
634. #547C4×C29semidirect
637. #546C4×C29semidirect
638. #546C4×C29semidirect
640. D42C4×C29semidirect
650. C2×#117C22×C29semidirect
651. C22×C42C22×C29semidirect
656. #423C22×C29semidirect
663. C2×#104C22×C29semidirect
664. C2×#104C22×C29semidirect
665. C2×#104C22×C29semidirect
666. C2×#104C22×C29semidirect
667. C2×#104C22×C29semidirect
668. C2×#104C22×C29semidirect
669. C2×#104C22×C29semidirect
670. C2×#104C22×C29semidirect
671. #407C22×C29semidirect
672. #407C22×C29semidirect
673. C4×M16C22×C29semidirect
678. C4×C4⋊C4C22×C29semidirect
679. C4×C22⋊C4C22×C29semidirect
680. C4×C22⋊C4C22×C29semidirect
681. #376C22×C29semidirect
682. #339C22×C29semidirect
683. #339C22×C29semidirect
684. #339C22×C29semidirect
685. #339C22×C29semidirect
712. C2×#41C2×C4×C29semidirect
713. C2×#41C2×C4×C29semidirect
718. C22×Q8C2×C4×C29semidirect
723. C22×D4C2×C4×C29semidirect
743. C4⋊Q8C2×C4×C29semidirect
745. #127C2×C4×C29semidirect
748. #124C2×C4×C29semidirect
749. #124C2×C4×C29semidirect
762. C22⋊Q8C2×C4×C29semidirect
763. C22⋊Q8C2×C4×C29semidirect
776. #121C2×C4×C29semidirect
777. #121C2×C4×C29semidirect
784. C4×Q8C2×C4×C29semidirect
785. C4×Q8C2×C4×C29semidirect
802. C4×D4C2×C4×C29semidirect
803. C4×D4C2×C4×C29semidirect
845. #104D4×C29semidirect
857. C29#22434direct (N × H)
983. M16C2×D4×C29semidirect
1047. C42C2×D4×C29semidirect
1206. C22C29×#421semidirect

Maximal subgroups

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

subgroupindex
D4×#41×C292
D4×M16×C292
C2×C29×#4212
C22×C29×#1042
C29×#22902
C29×#19802
C29×#19632
C29×#18972
C29×#18962
C29×#18712
C29×#18062
C29×#17892
C29×#17592
#2243429