Finite Group Databasebeta

← C29×#16291 #20311191

Subgroups — C29×#16291 #20311191

Order 7424.

2478 conjugacy classes of subgroups.

The subgroup lattice has 1492 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C29×#394C211yesmaximal, characteristic, complemented
2C2×C29×#394C211yesmaximal, characteristic, complemented
3C2×C29×#392C211yesmaximal, characteristic, complemented
4C2×C29×#392C211yesmaximal, characteristic, complemented
5C2×C29×#392C211yesmaximal, characteristic, complemented
6C2×C29×#392C211yesmaximal, characteristic, complemented
7C2×C29×#390C211yesmaximal, characteristic, complemented
8C2×C29×#388C211yesmaximal, characteristic, complemented
9C29×#1442C211yesmaximal, characteristic, complemented
10C29×#1440C211yesmaximal, characteristic, complemented
11C29×#1439C211yesmaximal, characteristic, complemented
12C29×#1438C211yesmaximal, characteristic, complemented
13C29×#1438C211yesmaximal, characteristic, complemented
14C29×#1438C211yesmaximal, characteristic, complemented
15C29×#1437C211yesmaximal, characteristic, complemented
16C23×D4×C29C2211yescharacteristic
17C23×D4×C29C2211yescharacteristic
18C23×D4×C29C2211yescharacteristic
19C23×D4×C29C2211yescharacteristic
20C23×D4×C29C2211yescharacteristic
21C23×D4×C29C2211yescharacteristic
22C22×C4⋊C4×C29C2211yescharacteristic
23C22×C4⋊C4×C29C2211yescharacteristic
24C22×C22⋊C4×C29C2211yescharacteristic
25C22×C22⋊C4×C29C2211yescharacteristic
26C22×C22⋊C4×C29C2211yescharacteristic
27C22×C22⋊C4×C29C2211yescharacteristic
28C22×C22⋊C4×C29C2211yescharacteristic
29C22×C22⋊C4×C29C2211yescharacteristic
30C22×C22⋊C4×C29C2211yescharacteristic
31C22×C22⋊C4×C29C2211yescharacteristic
32C22×C22⋊C4×C29C2211yescharacteristic
33C22×C22⋊C4×C29C2211yescharacteristic
34C22×C22⋊C4×C29C2211yescharacteristic
35C22×C22⋊C4×C29C2211yescharacteristic
36C22×C22⋊C4×C29C2211yescharacteristic
37C22×C22⋊C4×C29C2211yescharacteristic
38C22×C22⋊C4×C29C2211yescharacteristic
39C22×C22⋊C4×C29C2211yescharacteristic
40C22×C42×C29C2211yescharacteristic
41C29×#394—24no—
42C29×#394—24no—
43C29×#392—24no—
44C29×#392—24no—
45C29×#392—24no—
46C29×#392—24no—
47C29×#390—24no—
48C29×#388—24no—
49C2×C29×#95C2211yescharacteristic
50C2×C29×#95C2211yescharacteristic
51C2×C29×#95C2211yescharacteristic
52C2×C29×#95C2211yescharacteristic
53C2×C29×#95C2211yescharacteristic
54C2×C29×#95C2211yescharacteristic
55C2×C29×#95C2211yescharacteristic
56C2×C29×#95C2211yescharacteristic
57C2×C29×#95C2211yescharacteristic
58C2×C29×#95C2211yescharacteristic
59C25×C29C2311yescharacteristic
60C25×C29C2311yescharacteristic
61C25×C29C2311yescharacteristic
62C25×C29C2311yescharacteristic
63C22×D4×C29—22no—
64C22×D4×C29—22no—
65C22×D4×C29—22no—
66C22×D4×C29—22no—
67C22×D4×C29—22no—
68C22×D4×C29—22no—
69C22×D4×C29—22no—
70C22×D4×C29—22no—
71C22×D4×C29—22no—
72C22×D4×C29—22no—
73C22×D4×C29—22no—
74C22×D4×C29—22no—
75C22×D4×C29—22no—
76C22×D4×C29—22no—
77C22×D4×C29—22no—
78C22×D4×C29—22no—
79C22×D4×C29—22no—
80C22×D4×C29—22no—
81C22×D4×C29—22no—
82C22×D4×C29—22no—
83C22×D4×C29—41no—
84C22×D4×C29—41no—
85C22×D4×C29—41no—
86C22×D4×C29—41no—
87C22×D4×C29—41no—
88C22×D4×C29—41no—
89C22×D4×C29—41no—
90C22×D4×C29—41no—
91C22×D4×C29—41no—
92C22×D4×C29—41no—
93C22×D4×C29—41no—
94C22×D4×C29—41no—
95C22×D4×C29—41no—
96C22×D4×C29—41no—
97C22×D4×C29—41no—
98C22×D4×C29—41no—
99C22×D4×C29—41no—
100C22×D4×C29—41no—
101C22×D4×C29—41no—
102C22×D4×C29—41no—
103C22×D4×C29—41no—
104C22×D4×C29—41no—
105C23×C4×C29C2311yescharacteristic
106C23×C4×C29C2311yescharacteristic
107C23×C4×C29C2311yescharacteristic
108C23×C4×C29C2311yescharacteristic
109C23×C4×C29C2311yescharacteristic
110C23×C4×C29C2311yescharacteristic
111C23×C4×C29C2311yescharacteristic
112C23×C4×C29C2311yescharacteristic
113C23×C4×C29C2311yescharacteristic
114C23×C4×C29C2311yescharacteristic
115C23×C4×C29C2311yescharacteristic
116C2×C4⋊C4×C29—22no—
117C2×C4⋊C4×C29—22no—
118C2×C4⋊C4×C29—22no—
119C2×C4⋊C4×C29—22no—
120C2×C4⋊C4×C29—41no—
121C2×C4⋊C4×C29—41no—
122C2×C22⋊C4×C29—22no—
123C2×C22⋊C4×C29—22no—
124C2×C22⋊C4×C29—22no—
125C2×C22⋊C4×C29—22no—
126C2×C22⋊C4×C29—22no—
127C2×C22⋊C4×C29—22no—
128C2×C22⋊C4×C29—22no—
129C2×C22⋊C4×C29—22no—
130C2×C22⋊C4×C29—22no—
131C2×C22⋊C4×C29—22no—
132C2×C22⋊C4×C29—22no—
133C2×C22⋊C4×C29—22no—
134C2×C22⋊C4×C29—22no—
135C2×C22⋊C4×C29—22no—
136C2×C22⋊C4×C29—22no—
137C2×C22⋊C4×C29—22no—
138C2×C22⋊C4×C29—22no—
139C2×C22⋊C4×C29—22no—
140C2×C22⋊C4×C29—22no—
141C2×C22⋊C4×C29—22no—
142C2×C22⋊C4×C29—22no—
143C2×C22⋊C4×C29—22no—
144C2×C22⋊C4×C29—22no—
145C2×C22⋊C4×C29—22no—
146C2×C22⋊C4×C29—22no—
147C2×C22⋊C4×C29—41no—
148C2×C22⋊C4×C29—41no—
149C2×C22⋊C4×C29—41no—
150C2×C22⋊C4×C29—41no—
151C2×C22⋊C4×C29—41no—
152C2×C22⋊C4×C29—41no—
153C2×C22⋊C4×C29—41no—
154C2×C22⋊C4×C29—41no—
155C2×C22⋊C4×C29—41no—
156C2×C22⋊C4×C29—41no—
157C2×C22⋊C4×C29—41no—
158C2×C22⋊C4×C29—41no—
159C2×C22⋊C4×C29—41no—
160C2×C22⋊C4×C29—41no—
161C2×C22⋊C4×C29—41no—
162C2×C22⋊C4×C29—41no—
163C2×C22⋊C4×C29—41no—
164C2×C22⋊C4×C29—41no—
165C2×C22⋊C4×C29—41no—
166C2×C22⋊C4×C29—41no—
167C2×C22⋊C4×C29D414yescomplemented
168C2×C22⋊C4×C29D414yescomplemented
169C2×C22⋊C4×C29D414yescomplemented
170C2×C42×C29—22no—
171C2×C42×C29—22no—
172C2×C42×C29—41no—
173C29×#95—22no—
174C29×#95—22no—
175C29×#95—22no—
176C29×#95—22no—
177C29×#95—22no—
178C29×#95—22no—
179C29×#95—41no—
180C29×#95—41no—
181C29×#95—41no—
182C29×#95D414yescomplemented
183C24×C29—21no—
184C24×C29—21no—
185C24×C29—21no—
186C24×C29—21no—
187C24×C29—21no—
188C24×C29—21no—
189C24×C29—21no—
190C24×C29—21no—
191C24×C29—21no—
192C24×C29—21no—
193C24×C29—21no—
194C24×C29—21no—
195C24×C29—21no—
196C24×C29—21no—
197C24×C29—21no—
198C24×C29—21no—
199C24×C29—21no—
200C24×C29—21no—
201C24×C29—21no—
202C24×C29—21no—
203C24×C29—21no—
204C24×C29—21no—
205C24×C29—21no—
206C24×C29—21no—
207C24×C29—21no—
208C24×C29—21no—
209C24×C29—21no—
210C24×C29—21no—
211C24×C29—21no—
212C24×C29—21no—
213C24×C29—21no—
214C24×C29—21no—
215C24×C29—21no—
216C24×C29—21no—
217C24×C29—21no—
218C24×C29—21no—
219C24×C29—21no—
220C24×C29—21no—
221C24×C29—21no—
222C24×C29—21no—
223C24×C29—21no—
224C24×C29—21no—
225C24×C29—21no—
226C24×C29—21no—
227C24×C29—21no—
228C24×C29—21no—
229C24×C29—21no—
230C24×C29—21no—
231C24×C29—21no—
232C24×C29—21no—
233C24×C29—21no—
234C24×C29—21no—
235C24×C29—21no—
236C24×C29—21no—
237C24×C29—21no—
238C24×C29—21no—
239C24×C29C2×D412yes—
240C24×C29C2×D412yes—
241C24×C29C2×D412yes—
242C24×C29#4112yes—
243C24×C29C2411yescharacteristic
244C2×D4×C29—28no—
245C2×D4×C29—44no—
246C2×D4×C29—44no—
247C2×D4×C29—44no—
248C2×D4×C29—44no—
249C2×D4×C29—44no—
250C2×D4×C29—44no—
251C2×D4×C29—44no—
252C2×D4×C29—44no—
253C2×D4×C29—44no—
254C2×D4×C29—44no—
255C2×D4×C29—44no—
256C2×D4×C29—44no—
257C2×D4×C29—44no—
258C2×D4×C29—44no—
259C2×D4×C29—44no—
260C2×D4×C29—44no—
261C2×D4×C29—44no—
262C2×D4×C29—44no—
263C2×D4×C29—44no—
264C2×D4×C29—44no—
265C2×D4×C29—44no—
266C2×D4×C29—44no—
267C2×D4×C29—44no—
268C2×D4×C29—44no—
269C2×D4×C29—44no—
270C2×D4×C29—44no—
271C2×D4×C29—44no—
272C2×D4×C29—44no—
273C2×D4×C29—44no—
274C2×D4×C29—44no—
275C2×D4×C29—44no—
276C2×D4×C29—44no—
277C2×D4×C29—44no—
278C2×D4×C29—44no—
279C2×D4×C29—44no—
280C2×D4×C29—44no—
281C2×D4×C29—44no—
282C2×D4×C29—44no—
283C2×D4×C29—44no—
284C2×D4×C29—44no—
285C2×D4×C29—44no—
286C22×C4×C29—21no—
287C22×C4×C29—21no—
288C22×C4×C29—21no—
289C22×C4×C29—21no—
290C22×C4×C29—21no—
291C22×C4×C29—21no—
292C22×C4×C29—21no—
293C22×C4×C29—21no—
294C22×C4×C29—21no—
295C22×C4×C29—21no—
296C22×C4×C29—21no—
297C22×C4×C29—21no—
298C22×C4×C29—21no—
299C22×C4×C29—21no—
300C22×C4×C29—21no—
301C22×C4×C29—21no—
302C22×C4×C29—21no—
303C22×C4×C29—21no—
304C22×C4×C29—21no—
305C22×C4×C29—21no—
306C22×C4×C29—21no—
307C22×C4×C29—21no—
308C22×C4×C29—21no—
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—21no—
333C22×C4×C29—21no—
334C22×C4×C29—21no—
335C22×C4×C29—21no—
336C22×C4×C29—21no—
337C22×C4×C29—21no—
338C22×C4×C29—21no—
339C22×C4×C29—21no—
340C22×C4×C29—21no—
341C22×C4×C29—21no—
342C22×C4×C29—21no—
343C22×C4×C29—21no—
344C22×C4×C29—21no—
345C22×C4×C29—21no—
346C22×C4×C29—21no—
347C22×C4×C29—21no—
348C22×C4×C29—21no—
349C22×C4×C29—21no—
350C22×C4×C29—21no—
351C22×C4×C29—21no—
352C22×C4×C29C2×D412yes—
353C22×C4×C29C2×D412yes—
354C22×C4×C29C2×D412yes—
355C22×C4×C29C2×D412yes—
356C22×C4×C29C2×D412yes—
357C22×C4×C29C2×D412yes—
358C22×C4×C29C2×D412yes—
359C22×C4×C29C2×D412yes—
360C22×C4×C29C2×D412yes—
361C22×C4×C29#4112yes—
362C22×C4×C29#4112yes—
363C4⋊C4×C29—44no—
364C4⋊C4×C29—44no—
365C22⋊C4×C29—28no—
366C22⋊C4×C29—44no—
367C22⋊C4×C29—44no—
368C22⋊C4×C29—44no—
369C22⋊C4×C29—44no—
370C22⋊C4×C29—44no—
371C22⋊C4×C29—44no—
372C22⋊C4×C29—44no—
373C22⋊C4×C29—44no—
374C22⋊C4×C29—44no—
375C22⋊C4×C29—44no—
376C22⋊C4×C29—44no—
377C22⋊C4×C29—44no—
378C22⋊C4×C29—44no—
379C22⋊C4×C29—44no—
380C22⋊C4×C29—44no—
381C42×C29—44no—
382#16291C2911yesmaximal, characteristic, direct product factor, Sylow
383C23×C29—22no—
384C23×C29—22no—
385C23×C29—22no—
386C23×C29—22no—
387C23×C29—22no—
388C23×C29—22no—
389C23×C29—22no—
390C23×C29—22no—
391C23×C29—22no—
392C23×C29—22no—
393C23×C29—22no—
394C23×C29—22no—
395C23×C29—22no—
396C23×C29—22no—
397C23×C29—22no—
398C23×C29—22no—
399C23×C29—22no—
400C23×C29—22no—
401C23×C29—22no—
402C23×C29—22no—
403C23×C29—22no—
404C23×C29—22no—
405C23×C29—22no—
406C23×C29—22no—
407C23×C29—22no—
408C23×C29—22no—
409C23×C29—22no—
410C23×C29—22no—
411C23×C29—41no—
412C23×C29—41no—
413C23×C29—41no—
414C23×C29—41no—
415C23×C29—41no—
416C23×C29—41no—
417C23×C29—41no—
418C23×C29—41no—
419C23×C29—41no—
420C23×C29—41no—
421C23×C29—41no—
422C23×C29—41no—
423C23×C29—41no—
424C23×C29—41no—
425C23×C29—41no—
426C23×C29—41no—
427C23×C29—41no—
428C23×C29—41no—
429C23×C29—41no—
430C23×C29—41no—
431C23×C29—41no—
432C23×C29—41no—
433C23×C29—41no—
434C23×C29—41no—
435C23×C29—41no—
436C23×C29—41no—
437C23×C29—41no—
438C23×C29—41no—
439C23×C29—41no—
440C23×C29—41no—
441C23×C29—41no—
442C23×C29—41no—
443C23×C29—41no—
444C23×C29—41no—
445C23×C29—41no—
446C23×C29—41no—
447C23×C29—41no—
448C23×C29—41no—
449C23×C29—41no—
450C23×C29—41no—
451C23×C29—41no—
452C23×C29—41no—
453C23×C29—41no—
454C23×C29—41no—
455C23×C29—41no—
456C23×C29—41no—
457C23×C29—41no—
458C23×C29—41no—
459C23×C29—41no—
460C23×C29—41no—
461C23×C29—41no—
462C23×C29—41no—
463C23×C29—41no—
464C23×C29—41no—
465C23×C29—41no—
466C23×C29—41no—
467C23×C29—41no—
468C23×C29—41no—
469C23×C29—41no—
470C23×C29—41no—
471C23×C29—41no—
472C23×C29—41no—
473C23×C29—41no—
474C23×C29—41no—
475C23×C29—41no—
476C23×C29—41no—
477C23×C29—41no—
478C23×C29—41no—
479C23×C29—41no—
480C23×C29—41no—
481C23×C29—41no—
482C23×C29—41no—
483C23×C29—41no—
484C23×C29—41no—
485C23×C29—41no—
486C23×C29—41no—
487C23×C29—41no—
488C23×C29—41no—
489C23×C29—41no—
490C23×C29—41no—
491C23×C29—41no—
492C23×C29—41no—
493C23×C29—41no—
494C23×C29—41no—
495C23×C29—41no—
496C23×C29—41no—
497C23×C29—41no—
498C23×C29—41no—
499C23×C29—41no—
500C23×C29—41no—
501C23×C29—41no—
502C23×C29—41no—
503C23×C29—41no—
504C23×C29—41no—
505C23×C29—41no—
506C23×C29—41no—
507C23×C29—41no—
508C23×C29—41no—
509C23×C29—41no—
510C23×C29—41no—
511C23×C29—41no—
512C23×C29—41no—
513C23×C29—41no—
514C23×C29—41no—
515C23×C29—41no—
516C23×C29—41no—
517C23×C29—41no—
518C23×C29—41no—
519C23×C29—41no—
520C23×C29—41no—
521C23×C29—41no—
522C23×C29—41no—
523C23×C29C22×D411yescharacteristic
524C23×C29C22×D411yescharacteristic
525C23×C29C22×D411yescharacteristic
526C23×C29C22×D411yescharacteristic
527C23×C29C2×#4111yescharacteristic
528C23×C29C2×#4111yescharacteristic
529C23×C29C2×#4111yescharacteristic
530C23×C29H(5,𝔽2)11yescharacteristic
531C23×C29H(5,𝔽2)11yescharacteristic
532C23×C29H(5,𝔽2)11yescharacteristic
533C23×C29H(5,𝔽2)11yescharacteristic
534C23×C29H(5,𝔽2)11yescharacteristic
535C23×C29H(5,𝔽2)11yescharacteristic
536C23×C29H(5,𝔽2)11yescharacteristic
537C23×C29H(5,𝔽2)11yescharacteristic
538D4×C29—416no—
539D4×C29—416no—
540D4×C29—416no—
541D4×C29—416no—
542D4×C29—416no—
543D4×C29—416no—
544C2×C4×C29—22no—
545C2×C4×C29—22no—
546C2×C4×C29—22no—
547C2×C4×C29—22no—
548C2×C4×C29—22no—
549C2×C4×C29—22no—
550C2×C4×C29—22no—
551C2×C4×C29—22no—
552C2×C4×C29—22no—
553C2×C4×C29—22no—
554C2×C4×C29—22no—
555C2×C4×C29—22no—
556C2×C4×C29—22no—
557C2×C4×C29—22no—
558C2×C4×C29—22no—
559C2×C4×C29—22no—
560C2×C4×C29—22no—
561C2×C4×C29—22no—
562C2×C4×C29—22no—
563C2×C4×C29—22no—
564C2×C4×C29—22no—
565C2×C4×C29—22no—
566C2×C4×C29—22no—
567C2×C4×C29—22no—
568C2×C4×C29—22no—
569C2×C4×C29—22no—
570C2×C4×C29—22no—
571C2×C4×C29—22no—
572C2×C4×C29—22no—
573C2×C4×C29—22no—
574C2×C4×C29—41no—
575C2×C4×C29—41no—
576C2×C4×C29—41no—
577C2×C4×C29—41no—
578C2×C4×C29—41no—
579C2×C4×C29—41no—
580C2×C4×C29—41no—
581C2×C4×C29—41no—
582C2×C4×C29—41no—
583C2×C4×C29—41no—
584C2×C4×C29—41no—
585C2×C4×C29—41no—
586C2×C4×C29—41no—
587C2×C4×C29—41no—
588C2×C4×C29—41no—
589C2×C4×C29—41no—
590C2×C4×C29—41no—
591C2×C4×C29—41no—
592C2×C4×C29—41no—
593C2×C4×C29—41no—
594C2×C4×C29—41no—
595C2×C4×C29—41no—
596C2×C4×C29—41no—
597C2×C4×C29—41no—
598C2×C4×C29—41no—
599C2×C4×C29—41no—
600C2×C4×C29—41no—
601C2×C4×C29—41no—
602C2×C4×C29—41no—
603C2×C4×C29—41no—
604C2×C4×C29—41no—
605C2×C4×C29—41no—
606C2×C4×C29—41no—
607C2×C4×C29—41no—
608C2×C4×C29—41no—
609C2×C4×C29—41no—
610C2×C4×C29—41no—
611C2×C4×C29—41no—
612C2×C4×C29—41no—
613C2×C4×C29—41no—
614C2×C4×C29—41no—
615C2×C4×C29—41no—
616C2×C4×C29—41no—
617C2×C4×C29—41no—
618C2×C4×C29—41no—
619C2×C4×C29—41no—
620C2×C4×C29#12114yes—
621C2×#394C2×C2911yescharacteristic, complemented
622C2×#394C2×C2911yescharacteristic, complemented
623C2×#392C2×C2911yescharacteristic, complemented
624C2×#392C2×C2911yescharacteristic, complemented
625C2×#392C2×C2911yescharacteristic, complemented
626C2×#392C2×C2911yescharacteristic, complemented
627C2×#390C2×C2911yescharacteristic, complemented
628C2×#388C2×C2911yescharacteristic, complemented
629#1442C2×C2911yescharacteristic, complemented
630#1440C2×C2911yescharacteristic, complemented
631#1439C2×C2911yescharacteristic, complemented
632#1438C2×C2911yescharacteristic, complemented
633#1438C2×C2911yescharacteristic, complemented
634#1438C2×C2911yescharacteristic, complemented
635#1437C2×C2911yescharacteristic, complemented
636C22×C29—42no—
637C22×C29—42no—
638C22×C29—42no—
639C22×C29—42no—
640C22×C29—42no—
641C22×C29—42no—
642C22×C29—42no—
643C22×C29—42no—
644C22×C29—42no—
645C22×C29—42no—
646C22×C29—42no—
647C22×C29—42no—
648C22×C29—42no—
649C22×C29—42no—
650C22×C29—42no—
651C22×C29—42no—
652C22×C29—42no—
653C22×C29—42no—
654C22×C29—42no—
655C22×C29—42no—
656C22×C29—42no—
657C22×C29—42no—
658C22×C29—42no—
659C22×C29—42no—
660C22×C29—42no—
661C22×C29—42no—
662C22×C29—42no—
663C22×C29—42no—
664C22×C29—81no—
665C22×C29—81no—
666C22×C29—81no—
667C22×C29—81no—
668C22×C29—81no—
669C22×C29—81no—
670C22×C29—81no—
671C22×C29—81no—
672C22×C29—81no—
673C22×C29—81no—
674C22×C29—81no—
675C22×C29—81no—
676C22×C29—81no—
677C22×C29—81no—
678C22×C29—81no—
679C22×C29—81no—
680C22×C29—81no—
681C22×C29—81no—
682C22×C29—81no—
683C22×C29—81no—
684C22×C29—81no—
685C22×C29—81no—
686C22×C29—81no—
687C22×C29—81no—
688C22×C29—81no—
689C22×C29—81no—
690C22×C29—81no—
691C22×C29—81no—
692C22×C29—81no—
693C22×C29—81no—
694C22×C29—81no—
695C22×C29—81no—
696C22×C29C2×#12111yescharacteristic
697C22×C29#52511yescharacteristic
698C22×C29#53211yescharacteristic
699C22×C29#53411yescharacteristic
700C22×C29#53411yescharacteristic
701C22×C29#53511yescharacteristic
702C22×C29#53511yescharacteristic
703C22×C29#53511yescharacteristic
704C22×C29#53511yescharacteristic
705C22×C29#53511yescharacteristic
706C22×C29#53511yescharacteristic
707C22×C29#53811yescharacteristic
708C22×C29#53811yescharacteristic
709C22×C29#53811yescharacteristic
710C22×C29#53811yescharacteristic
711C22×C29#54011yescharacteristic
712C22×C29#54011yescharacteristic
713C22×C29#54011yescharacteristic
714C22×C29#54011yescharacteristic
715C22×C29D4211yescharacteristic
716C22×C29D4211yescharacteristic
717C22×C29D4211yescharacteristic
718C22×C29D4211yescharacteristic
719C22×C29D4211yescharacteristic
720C22×C29#54611yescharacteristic
721C22×C29#54611yescharacteristic
722C22×C29#54611yescharacteristic
723C22×C29#54611yescharacteristic
724C22×C29#54611yescharacteristic
725C22×C29#55011yescharacteristic
726C22×C29#55311yescharacteristic
727C22×C29#56011yescharacteristic
728C22×C29#56011yescharacteristic
729C22×C29#56011yescharacteristic
730C22×C29H(3,𝔽4)11yescharacteristic
731C4×C29—24no—
732C4×C29—42no—
733C4×C29—42no—
734C4×C29—42no—
735C4×C29—42no—
736C4×C29—42no—
737C4×C29—42no—
738C4×C29—42no—
739C4×C29—42no—
740C4×C29—81no—
741C4×C29—81no—
742C23×D4C22×C2911yescharacteristic
743C23×D4C22×C2911yescharacteristic
744C23×D4C22×C2911yescharacteristic
745C23×D4C22×C2911yescharacteristic
746C23×D4C22×C2911yescharacteristic
747C23×D4C22×C2911yescharacteristic
748C22×C4⋊C4C22×C2911yescharacteristic
749C22×C4⋊C4C22×C2911yescharacteristic
750C22×C22⋊C4C22×C2911yescharacteristic
751C22×C22⋊C4C22×C2911yescharacteristic
752C22×C22⋊C4C22×C2911yescharacteristic
753C22×C22⋊C4C22×C2911yescharacteristic
754C22×C22⋊C4C22×C2911yescharacteristic
755C22×C22⋊C4C22×C2911yescharacteristic
756C22×C22⋊C4C22×C2911yescharacteristic
757C22×C22⋊C4C22×C2911yescharacteristic
758C22×C22⋊C4C22×C2911yescharacteristic
759C22×C22⋊C4C22×C2911yescharacteristic
760C22×C22⋊C4C22×C2911yescharacteristic
761C22×C22⋊C4C22×C2911yescharacteristic
762C22×C22⋊C4C22×C2911yescharacteristic
763C22×C22⋊C4C22×C2911yescharacteristic
764C22×C22⋊C4C22×C2911yescharacteristic
765C22×C22⋊C4C22×C2911yescharacteristic
766C22×C42C22×C2911yescharacteristic
767#394—24no—
768#394—24no—
769#392—24no—
770#392—24no—
771#392—24no—
772#392—24no—
773#390—24no—
774#388—24no—
775C2×#95C22×C2911yescharacteristic
776C2×#95C22×C2911yescharacteristic
777C2×#95C22×C2911yescharacteristic
778C2×#95C22×C2911yescharacteristic
779C2×#95C22×C2911yescharacteristic
780C2×#95C22×C2911yescharacteristic
781C2×#95C22×C2911yescharacteristic
782C2×#95C22×C2911yescharacteristic
783C2×#95C22×C2911yescharacteristic
784C2×#95C22×C2911yescharacteristic
785C2×C29—82no—
786C2×C29—82no—
787C2×C29—82no—
788C2×C29—82no—
789C2×C29#242411yescharacteristic
790C2×C29#242811yescharacteristic
791C2×C29#246411yescharacteristic
792C2×C29#261911yescharacteristic
793C2×C29#263511yescharacteristic
794C2×C29#266111yescharacteristic
795C2×C29#266911yescharacteristic
796C2×C29#266911yescharacteristic
797C2×C29#267011yescharacteristic
798C2×C29#267011yescharacteristic
799C2×C29#267311yescharacteristic
800C2×C29#267811yescharacteristic
801C2×C29#270311yescharacteristic
802C2×C29#271411yescharacteristic
803C2×C29#282811yescharacteristic
804C25C23×C2911yescharacteristic
805C25C23×C2911yescharacteristic
806C25C23×C2911yescharacteristic
807C25C23×C2911yescharacteristic
808C22×D4—22no—
809C22×D4—22no—
810C22×D4—22no—
811C22×D4—22no—
812C22×D4—22no—
813C22×D4—22no—
814C22×D4—22no—
815C22×D4—22no—
816C22×D4—22no—
817C22×D4—22no—
818C22×D4—22no—
819C22×D4—22no—
820C22×D4—22no—
821C22×D4—22no—
822C22×D4—22no—
823C22×D4—22no—
824C22×D4—22no—
825C22×D4—22no—
826C22×D4—22no—
827C22×D4—22no—
828C22×D4—41no—
829C22×D4—41no—
830C22×D4—41no—
831C22×D4—41no—
832C22×D4—41no—
833C22×D4—41no—
834C22×D4—41no—
835C22×D4—41no—
836C22×D4—41no—
837C22×D4—41no—
838C22×D4—41no—
839C22×D4—41no—
840C22×D4—41no—
841C22×D4—41no—
842C22×D4—41no—
843C22×D4—41no—
844C22×D4—41no—
845C22×D4—41no—
846C22×D4—41no—
847C22×D4—41no—
848C22×D4—41no—
849C22×D4—41no—
850C23×C4C23×C2911yescharacteristic
851C23×C4C23×C2911yescharacteristic
852C23×C4C23×C2911yescharacteristic
853C23×C4C23×C2911yescharacteristic
854C23×C4C23×C2911yescharacteristic
855C23×C4C23×C2911yescharacteristic
856C23×C4C23×C2911yescharacteristic
857C23×C4C23×C2911yescharacteristic
858C23×C4C23×C2911yescharacteristic
859C23×C4C23×C2911yescharacteristic
860C23×C4C23×C2911yescharacteristic
861C2×C4⋊C4—22no—
862C2×C4⋊C4—22no—
863C2×C4⋊C4—22no—
864C2×C4⋊C4—22no—
865C2×C4⋊C4—41no—
866C2×C4⋊C4—41no—
867C2×C22⋊C4—22no—
868C2×C22⋊C4—22no—
869C2×C22⋊C4—22no—
870C2×C22⋊C4—22no—
871C2×C22⋊C4—22no—
872C2×C22⋊C4—22no—
873C2×C22⋊C4—22no—
874C2×C22⋊C4—22no—
875C2×C22⋊C4—22no—
876C2×C22⋊C4—22no—
877C2×C22⋊C4—22no—
878C2×C22⋊C4—22no—
879C2×C22⋊C4—22no—
880C2×C22⋊C4—22no—
881C2×C22⋊C4—22no—
882C2×C22⋊C4—22no—
883C2×C22⋊C4—22no—
884C2×C22⋊C4—22no—
885C2×C22⋊C4—22no—
886C2×C22⋊C4—22no—
887C2×C22⋊C4—22no—
888C2×C22⋊C4—22no—
889C2×C22⋊C4—22no—
890C2×C22⋊C4—22no—
891C2×C22⋊C4—22no—
892C2×C22⋊C4—41no—
893C2×C22⋊C4—41no—
894C2×C22⋊C4—41no—
895C2×C22⋊C4—41no—
896C2×C22⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C22⋊C4—41no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C22⋊C4—41no—
912C2×C22⋊C4D4×C2914yescomplemented
913C2×C22⋊C4D4×C2914yescomplemented
914C2×C22⋊C4D4×C2914yescomplemented
915C2×C42—22no—
916C2×C42—22no—
917C2×C42—41no—
918#95—22no—
919#95—22no—
920#95—22no—
921#95—22no—
922#95—22no—
923#95—22no—
924#95—41no—
925#95—41no—
926#95—41no—
927#95D4×C2914yescomplemented
928C29#1629111yescharacteristic, direct product factor, Sylow
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—21no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—21no—
954C24—21no—
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—21no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—21no—
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24C2×D4×C2912yes—
986C24C2×D4×C2912yes—
987C24C2×D4×C2912yes—
988C24#41×C2912yes—
989C24C24×C2911yescharacteristic
990C2×D4—28no—
991C2×D4—44no—
992C2×D4—44no—
993C2×D4—44no—
994C2×D4—44no—
995C2×D4—44no—
996C2×D4—44no—
997C2×D4—44no—
998C2×D4—44no—
999C2×D4—44no—
1000C2×D4—44no—
1001C2×D4—44no—
1002C2×D4—44no—
1003C2×D4—44no—
1004C2×D4—44no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—44no—
1008C2×D4—44no—
1009C2×D4—44no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—44no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—44no—
1018C2×D4—44no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4C2×D4×C2912yes—
1099C22×C4C2×D4×C2912yes—
1100C22×C4C2×D4×C2912yes—
1101C22×C4C2×D4×C2912yes—
1102C22×C4C2×D4×C2912yes—
1103C22×C4C2×D4×C2912yes—
1104C22×C4C2×D4×C2912yes—
1105C22×C4C2×D4×C2912yes—
1106C22×C4C2×D4×C2912yes—
1107C22×C4#41×C2912yes—
1108C22×C4#41×C2912yes—
1109C4⋊C4—44no—
1110C4⋊C4—44no—
1111C22⋊C4—28no—
1112C22⋊C4—44no—
1113C22⋊C4—44no—
1114C22⋊C4—44no—
1115C22⋊C4—44no—
1116C22⋊C4—44no—
1117C22⋊C4—44no—
1118C22⋊C4—44no—
1119C22⋊C4—44no—
1120C22⋊C4—44no—
1121C22⋊C4—44no—
1122C22⋊C4—44no—
1123C22⋊C4—44no—
1124C22⋊C4—44no—
1125C22⋊C4—44no—
1126C22⋊C4—44no—
1127C42—44no—
1128C23—22no—
1129C23—22no—
1130C23—22no—
1131C23—22no—
1132C23—22no—
1133C23—22no—
1134C23—22no—
1135C23—22no—
1136C23—22no—
1137C23—22no—
1138C23—22no—
1139C23—22no—
1140C23—22no—
1141C23—22no—
1142C23—22no—
1143C23—22no—
1144C23—22no—
1145C23—22no—
1146C23—22no—
1147C23—22no—
1148C23—22no—
1149C23—22no—
1150C23—22no—
1151C23—22no—
1152C23—22no—
1153C23—22no—
1154C23—22no—
1155C23—22no—
1156C23—41no—
1157C23—41no—
1158C23—41no—
1159C23—41no—
1160C23—41no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—41no—
1166C23—41no—
1167C23—41no—
1168C23—41no—
1169C23—41no—
1170C23—41no—
1171C23—41no—
1172C23—41no—
1173C23—41no—
1174C23—41no—
1175C23—41no—
1176C23—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23C22×D4×C2911yescharacteristic
1269C23C22×D4×C2911yescharacteristic
1270C23C22×D4×C2911yescharacteristic
1271C23C22×D4×C2911yescharacteristic
1272C23C2×#41×C2911yescharacteristic
1273C23C2×#41×C2911yescharacteristic
1274C23C2×#41×C2911yescharacteristic
1275C23C29×H(5,𝔽2)11yescharacteristic
1276C23C29×H(5,𝔽2)11yescharacteristic
1277C23C29×H(5,𝔽2)11yescharacteristic
1278C23C29×H(5,𝔽2)11yescharacteristic
1279C23C29×H(5,𝔽2)11yescharacteristic
1280C23C29×H(5,𝔽2)11yescharacteristic
1281C23C29×H(5,𝔽2)11yescharacteristic
1282C23C29×H(5,𝔽2)11yescharacteristic
1283D4—416no—
1284D4—416no—
1285D4—416no—
1286D4—416no—
1287D4—416no—
1288D4—416no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—22no—
1292C2×C4—22no—
1293C2×C4—22no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4C29×#12114yes—
1366C22—42no—
1367C22—42no—
1368C22—42no—
1369C22—42no—
1370C22—42no—
1371C22—42no—
1372C22—42no—
1373C22—42no—
1374C22—42no—
1375C22—42no—
1376C22—42no—
1377C22—42no—
1378C22—42no—
1379C22—42no—
1380C22—42no—
1381C22—42no—
1382C22—42no—
1383C22—42no—
1384C22—42no—
1385C22—42no—
1386C22—42no—
1387C22—42no—
1388C22—42no—
1389C22—42no—
1390C22—42no—
1391C22—42no—
1392C22—42no—
1393C22—42no—
1394C22—81no—
1395C22—81no—
1396C22—81no—
1397C22—81no—
1398C22—81no—
1399C22—81no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22C2×C29×#12111yescharacteristic
1427C22C29×#52511yescharacteristic
1428C22C29×#53211yescharacteristic
1429C22C29×#53411yescharacteristic
1430C22C29×#53411yescharacteristic
1431C22C29×#53511yescharacteristic
1432C22C29×#53511yescharacteristic
1433C22C29×#53511yescharacteristic
1434C22C29×#53511yescharacteristic
1435C22C29×#53511yescharacteristic
1436C22C29×#53511yescharacteristic
1437C22C29×#53811yescharacteristic
1438C22C29×#53811yescharacteristic
1439C22C29×#53811yescharacteristic
1440C22C29×#53811yescharacteristic
1441C22C29×#54011yescharacteristic
1442C22C29×#54011yescharacteristic
1443C22C29×#54011yescharacteristic
1444C22C29×#54011yescharacteristic
1445C22D42×C2911yescharacteristic
1446C22D42×C2911yescharacteristic
1447C22D42×C2911yescharacteristic
1448C22D42×C2911yescharacteristic
1449C22D42×C2911yescharacteristic
1450C22C29×#54611yescharacteristic
1451C22C29×#54611yescharacteristic
1452C22C29×#54611yescharacteristic
1453C22C29×#54611yescharacteristic
1454C22C29×#54611yescharacteristic
1455C22C29×#55011yescharacteristic
1456C22C29×#55311yescharacteristic
1457C22C29×#56011yescharacteristic
1458C22C29×#56011yescharacteristic
1459C22C29×#56011yescharacteristic
1460C22C29×H(3,𝔽4)11yescharacteristic
1461C4—24no—
1462C4—42no—
1463C4—42no—
1464C4—42no—
1465C4—42no—
1466C4—42no—
1467C4—42no—
1468C4—42no—
1469C4—42no—
1470C4—81no—
1471C4—81no—
1472C2—82no—
1473C2—82no—
1474C2—82no—
1475C2—82no—
1476C2C29×#242411yescharacteristic
1477C2C29×#242811yescharacteristic
1478C2C29×#246411yescharacteristic
1479C2C29×#261911yescharacteristic
1480C2C29×#263511yescharacteristic
1481C2C29×#266111yescharacteristic
1482C2C29×#266911yescharacteristic
1483C2C29×#266911yescharacteristic
1484C2C29×#267011yescharacteristic
1485C2C29×#267011yescharacteristic
1486C2C29×#267311yescharacteristic
1487C2C29×#267811yescharacteristic
1488C2C29×#270311yescharacteristic
1489C2C29×#271411yescharacteristic
1490C2C29×#282811yescharacteristic
subgroupG/H
center, socleC24×C29C24
commutator, Frattini, cosocleC24C24×C29
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C29×#394C2semidirect
2. C2×C29×#394C2semidirect
3. C2×C29×#392C2semidirect
4. C2×C29×#392C2semidirect
5. C2×C29×#392C2semidirect
6. C2×C29×#392C2semidirect
7. C2×C29×#390C2semidirect
8. C2×C29×#388C2semidirect
9. C29×#1442C2semidirect
10. C29×#1440C2semidirect
11. C29×#1439C2semidirect
12. C29×#1438C2semidirect
13. C29×#1438C2semidirect
14. C29×#1438C2semidirect
15. C29×#1437C2semidirect
167. C2×C22⋊C4×C29D4semidirect
168. C2×C22⋊C4×C29D4semidirect
169. C2×C22⋊C4×C29D4semidirect
182. C29×#95D4semidirect
382. #16291C29direct (N × H)
621. C2×#394C2×C29semidirect
622. C2×#394C2×C29semidirect
623. C2×#392C2×C29semidirect
624. C2×#392C2×C29semidirect
625. C2×#392C2×C29semidirect
626. C2×#392C2×C29semidirect
627. C2×#390C2×C29semidirect
628. C2×#388C2×C29semidirect
629. #1442C2×C29semidirect
630. #1440C2×C29semidirect
631. #1439C2×C29semidirect
632. #1438C2×C29semidirect
633. #1438C2×C29semidirect
634. #1438C2×C29semidirect
635. #1437C2×C29semidirect
912. C2×C22⋊C4D4×C29semidirect
913. C2×C22⋊C4D4×C29semidirect
914. C2×C22⋊C4D4×C29semidirect
927. #95D4×C29semidirect
928. C29#16291direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C29×#3942
C2×C29×#3922
C2×C29×#3902
C2×C29×#3882
C29×#14422
C29×#14402
C29×#14392
C29×#14382
C29×#14372
#1629129