Finite Group Databasebeta

← C29×#16255 #20311155

Subgroups — C29×#16255 #20311155

Order 7424.

3370 conjugacy classes of subgroups.

The subgroup lattice has 1552 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C29×#120C211yesmaximal, characteristic
2C2×C29×#397C211yesmaximal, characteristic, complemented
3C2×C29×#394C211yesmaximal, characteristic, complemented
4C2×C29×#394C211yesmaximal, characteristic, complemented
5C2×C29×#379C211yesmaximal, characteristic, complemented
6C2×C29×#379C211yesmaximal, characteristic, complemented
7C29×#1440C211yesmaximal, characteristic, complemented
8C29×#1440C211yesmaximal, characteristic, complemented
9C29×#1439C211yesmaximal, characteristic, complemented
10C29×#1439C211yesmaximal, characteristic, complemented
11C29×#1439C211yesmaximal, characteristic, complemented
12C29×#1438C211yesmaximal, characteristic, complemented
13C29×#1438C211yesmaximal, characteristic, complemented
14C29×#1438C211yesmaximal, characteristic, complemented
15C29×#1438C211yesmaximal, characteristic, complemented
16C26×C29C2211yescharacteristic
17C23×D4×C29C2211yescharacteristic
18C23×D4×C29C2211yescharacteristic
19C23×D4×C29C2211yescharacteristic
20C2×C29×#120—24no—
21C2×C29×#120—24no—
22C2×C29×#120—24no—
23C22×C4⋊C4×C29C2211yescharacteristic, complemented
24C22×C4⋊C4×C29C2211yescharacteristic, complemented
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×C22⋊C4×C29C2211yescharacteristic, complemented
41C22×C22⋊C4×C29C2211yescharacteristic, complemented
42C22×C22⋊C4×C29C2211yescharacteristic, complemented
43C22×C22⋊C4×C29C2211yescharacteristic, complemented
44C29×#397—24no—
45C29×#394—24no—
46C29×#394—24no—
47C29×#379—24no—
48C29×#379—24no—
49C2×C29×#95C2211yescharacteristic, complemented
50C2×C29×#95C2211yescharacteristic, complemented
51C2×C29×#95C2211yescharacteristic, complemented
52C2×C29×#95C2211yescharacteristic, complemented
53C2×C29×#95C2211yescharacteristic, complemented
54C2×C29×#95C2211yescharacteristic, complemented
55C2×C29×#95C2211yescharacteristic, complemented
56C2×C29×#95C2211yescharacteristic, complemented
57C2×C29×#95C2211yescharacteristic, complemented
58C2×C29×#95C2211yescharacteristic, complemented
59C25×C29—22no—
60C25×C29—22no—
61C25×C29—22no—
62C25×C29—22no—
63C25×C29—22no—
64C25×C29—22no—
65C25×C29—41no—
66C25×C29—41no—
67C25×C29—41no—
68C25×C29—41no—
69C25×C29—41no—
70C25×C29—41no—
71C25×C29—41no—
72C25×C29—41no—
73C25×C29D414yes—
74C25×C29C2311yescharacteristic
75C25×C29C2311yescharacteristic
76C25×C29C2311yescharacteristic
77C25×C29C2311yescharacteristic
78C22×D4×C29—22no—
79C22×D4×C29—22no—
80C22×D4×C29—22no—
81C22×D4×C29—22no—
82C22×D4×C29—22no—
83C22×D4×C29—22no—
84C22×D4×C29—22no—
85C22×D4×C29—22no—
86C22×D4×C29—22no—
87C22×D4×C29—22no—
88C22×D4×C29—22no—
89C22×D4×C29—22no—
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×C29D414yes—
99C23×C4×C29C2311yescharacteristic
100C23×C4×C29C2311yescharacteristic
101C23×C4×C29C2311yescharacteristic
102C23×C4×C29C2311yescharacteristic
103C23×C4×C29C2311yescharacteristic
104C23×C4×C29C2311yescharacteristic
105C23×C4×C29C2311yescharacteristic
106C23×C4×C29C2311yescharacteristic
107C23×C4×C29C2311yescharacteristic
108C23×C4×C29C2311yescharacteristic
109C23×C4×C29C2311yescharacteristic
110C29×#120—232no—
111C2×C4⋊C4×C29—22no—
112C2×C4⋊C4×C29—22no—
113C2×C4⋊C4×C29—22no—
114C2×C4⋊C4×C29—41no—
115C2×C4⋊C4×C29—41no—
116C2×C4⋊C4×C29—41no—
117C2×C22⋊C4×C29—22no—
118C2×C22⋊C4×C29—22no—
119C2×C22⋊C4×C29—22no—
120C2×C22⋊C4×C29—22no—
121C2×C22⋊C4×C29—22no—
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—22no—
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×C29—41no—
168C2×C22⋊C4×C29—41no—
169C2×C22⋊C4×C29—41no—
170C2×C22⋊C4×C29—41no—
171C2×C22⋊C4×C29—41no—
172C2×C22⋊C4×C29D414yes—
173C2×C22⋊C4×C29D414yescomplemented
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×#95—41no—
183C29×#95—41no—
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—28no—
221C24×C29—28no—
222C24×C29—28no—
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—44no—
238C24×C29—44no—
239C24×C29—44no—
240C24×C29—44no—
241C24×C29—44no—
242C24×C29—44no—
243C24×C29—44no—
244C24×C29—44no—
245C24×C29—44no—
246C24×C29—44no—
247C24×C29—44no—
248C24×C29—44no—
249C24×C29—44no—
250C24×C29—44no—
251C24×C29—44no—
252C24×C29—44no—
253C24×C29—44no—
254C24×C29—44no—
255C24×C29—44no—
256C24×C29—44no—
257C24×C29—44no—
258C24×C29—44no—
259C24×C29—44no—
260C24×C29—44no—
261C24×C29—44no—
262C24×C29—44no—
263C24×C29—44no—
264C24×C29—44no—
265C24×C29—44no—
266C24×C29—44no—
267C24×C29—44no—
268C24×C29—44no—
269C24×C29C2×D412yes—
270C24×C29C2×D412yes—
271C24×C29C2×D412yes—
272C24×C29C2×D412yes—
273C24×C29C2×D412yes—
274C24×C29C2×D412yes—
275C24×C29C2×D412yes—
276C24×C29#4112yes—
277C24×C29#4112yes—
278C24×C29#4112yes—
279C24×C29C2411yescharacteristic
280C2×D4×C29—28no—
281C2×D4×C29—28no—
282C2×D4×C29—28no—
283C2×D4×C29—44no—
284C2×D4×C29—44no—
285C2×D4×C29—44no—
286C2×D4×C29—44no—
287C2×D4×C29—44no—
288C2×D4×C29—44no—
289C2×D4×C29—44no—
290C2×D4×C29—44no—
291C2×D4×C29—44no—
292C2×D4×C29—44no—
293C2×D4×C29—44no—
294C2×D4×C29—44no—
295C2×D4×C29—44no—
296C2×D4×C29—44no—
297C2×D4×C29—44no—
298C2×D4×C29—44no—
299C2×D4×C29—44no—
300C2×D4×C29—44no—
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×C29—21no—
353C22×C4×C29—21no—
354C22×C4×C29—21no—
355C22×C4×C29—21no—
356C22×C4×C29—21no—
357C22×C4×C29—21no—
358C22×C4×C29—21no—
359C22×C4×C29—21no—
360C22×C4×C29—21no—
361C22×C4×C29—21no—
362C22×C4×C29—21no—
363C22×C4×C29—21no—
364C22×C4×C29—21no—
365C22×C4×C29—21no—
366C22×C4×C29—21no—
367C22×C4×C29—21no—
368C22×C4×C29—21no—
369C22×C4×C29—21no—
370C22×C4×C29—21no—
371C22×C4×C29—21no—
372C22×C4×C29—21no—
373C22×C4×C29C2×D412yes—
374C22×C4×C29C2×D412yes—
375C22×C4×C29C2×D412yes—
376C22×C4×C29C2×D412yes—
377C22×C4×C29C2×D412yes—
378C4⋊C4×C29—44no—
379C4⋊C4×C29—44no—
380C22⋊C4×C29—28no—
381C22⋊C4×C29—28no—
382C22⋊C4×C29—28no—
383C22⋊C4×C29—44no—
384C22⋊C4×C29—44no—
385C22⋊C4×C29—44no—
386C22⋊C4×C29—44no—
387C22⋊C4×C29—44no—
388C22⋊C4×C29—44no—
389C22⋊C4×C29—44no—
390C22⋊C4×C29—44no—
391C22⋊C4×C29—44no—
392C22⋊C4×C29—44no—
393C22⋊C4×C29—44no—
394C22⋊C4×C29—44no—
395C22⋊C4×C29—44no—
396C22⋊C4×C29—44no—
397C22⋊C4×C29—44no—
398C22⋊C4×C29—44no—
399#16255C2911yesmaximal, characteristic, direct product factor, Sylow
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—22no—
412C23×C29—22no—
413C23×C29—22no—
414C23×C29—22no—
415C23×C29—22no—
416C23×C29—22no—
417C23×C29—22no—
418C23×C29—22no—
419C23×C29—22no—
420C23×C29—22no—
421C23×C29—22no—
422C23×C29—22no—
423C23×C29—22no—
424C23×C29—22no—
425C23×C29—22no—
426C23×C29—22no—
427C23×C29—22no—
428C23×C29—22no—
429C23×C29—22no—
430C23×C29—22no—
431C23×C29—22no—
432C23×C29—22no—
433C23×C29—22no—
434C23×C29—22no—
435C23×C29—22no—
436C23×C29—22no—
437C23×C29—22no—
438C23×C29—22no—
439C23×C29—22no—
440C23×C29—22no—
441C23×C29—22no—
442C23×C29—22no—
443C23×C29—22no—
444C23×C29—22no—
445C23×C29—22no—
446C23×C29—22no—
447C23×C29—22no—
448C23×C29—22no—
449C23×C29—22no—
450C23×C29—22no—
451C23×C29—22no—
452C23×C29—22no—
453C23×C29—22no—
454C23×C29—22no—
455C23×C29—22no—
456C23×C29—22no—
457C23×C29—22no—
458C23×C29—22no—
459C23×C29—22no—
460C23×C29—22no—
461C23×C29—416no—
462C23×C29—416no—
463C23×C29—416no—
464C23×C29—416no—
465C23×C29—416no—
466C23×C29—416no—
467C23×C29—416no—
468C23×C29—416no—
469C23×C29—416no—
470C23×C29—416no—
471C23×C29—416no—
472C23×C29—416no—
473C23×C29—416no—
474C23×C29—416no—
475C23×C29—416no—
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×C29—41no—
524C23×C29—41no—
525C23×C29—41no—
526C23×C29—41no—
527C23×C29—41no—
528C23×C29—41no—
529C23×C29—41no—
530C23×C29—41no—
531C23×C29—41no—
532C23×C29—41no—
533C23×C29—41no—
534C23×C29—41no—
535C23×C29—41no—
536C23×C29—41no—
537C23×C29—41no—
538C23×C29—41no—
539C23×C29—41no—
540C23×C29—41no—
541C23×C29—41no—
542C23×C29—41no—
543C23×C29—41no—
544C23×C29—41no—
545C23×C29—41no—
546C23×C29—41no—
547C23×C29—41no—
548C23×C29—41no—
549C23×C29—41no—
550C23×C29—41no—
551C23×C29—41no—
552C23×C29#12014yes—
553C23×C29#12114yes—
554C23×C29#12314yes—
555C23×C29C22×D411yescharacteristic
556C23×C29C22×D411yescharacteristic
557C23×C29C22×D411yescharacteristic
558C23×C29C22×D411yescharacteristic
559C23×C29C2×#4111yescharacteristic
560C23×C29C2×#4111yescharacteristic
561C23×C29C2×#4111yescharacteristic
562C23×C29H(5,𝔽2)11yescharacteristic
563C23×C29H(5,𝔽2)11yescharacteristic
564C23×C29H(5,𝔽2)11yescharacteristic
565C23×C29H(5,𝔽2)11yescharacteristic
566C23×C29H(5,𝔽2)11yescharacteristic
567C23×C29H(5,𝔽2)11yescharacteristic
568C23×C29H(5,𝔽2)11yescharacteristic
569C23×C29H(5,𝔽2)11yescharacteristic
570D4×C29—416no—
571D4×C29—416no—
572D4×C29—416no—
573C2×C4×C29—22no—
574C2×C4×C29—22no—
575C2×C4×C29—22no—
576C2×C4×C29—22no—
577C2×C4×C29—22no—
578C2×C4×C29—22no—
579C2×C4×C29—22no—
580C2×C4×C29—22no—
581C2×C4×C29—22no—
582C2×C4×C29—22no—
583C2×C4×C29—22no—
584C2×C4×C29—22no—
585C2×C4×C29—22no—
586C2×C4×C29—22no—
587C2×C4×C29—22no—
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—41no—
621C2×C4×C29—41no—
622C2×C4×C29—41no—
623C2×C4×C29—41no—
624C2×C4×C29—41no—
625C2×C4×C29—41no—
626C2×C4×C29—41no—
627C2×C4×C29—41no—
628C2×C4×C29—41no—
629C2×C4×C29—41no—
630C2×C4×C29—41no—
631C2×C4×C29—41no—
632C2×C4×C29—41no—
633C2×C4×C29—41no—
634C2×C4×C29—41no—
635C2×C4×C29—41no—
636C2×C4×C29—41no—
637C2×C4×C29—41no—
638C2×C4×C29—41no—
639C2×C4×C29—41no—
640C2×C4×C29—41no—
641C2×C4×C29—41no—
642C2×C4×C29—41no—
643C2×C4×C29—41no—
644C2×C4×C29—41no—
645C2×C4×C29—41no—
646C2×C4×C29—41no—
647C2×C4×C29—41no—
648C2×C4×C29—41no—
649C2×C4×C29—41no—
650C22×#120C2×C2911yescharacteristic
651C2×#397C2×C2911yescharacteristic, complemented
652C2×#394C2×C2911yescharacteristic, complemented
653C2×#394C2×C2911yescharacteristic, complemented
654C2×#379C2×C2911yescharacteristic, complemented
655C2×#379C2×C2911yescharacteristic, complemented
656#1440C2×C2911yescharacteristic, complemented
657#1440C2×C2911yescharacteristic, complemented
658#1439C2×C2911yescharacteristic, complemented
659#1439C2×C2911yescharacteristic, complemented
660#1439C2×C2911yescharacteristic, complemented
661#1438C2×C2911yescharacteristic, complemented
662#1438C2×C2911yescharacteristic, complemented
663#1438C2×C2911yescharacteristic, complemented
664#1438C2×C2911yescharacteristic, complemented
665C22×C29—24no—
666C22×C29—24no—
667C22×C29—24no—
668C22×C29—24no—
669C22×C29—24no—
670C22×C29—24no—
671C22×C29—24no—
672C22×C29—24no—
673C22×C29—24no—
674C22×C29—464no—
675C22×C29—42no—
676C22×C29—42no—
677C22×C29—42no—
678C22×C29—42no—
679C22×C29—42no—
680C22×C29—42no—
681C22×C29—42no—
682C22×C29—42no—
683C22×C29—42no—
684C22×C29—42no—
685C22×C29—42no—
686C22×C29—42no—
687C22×C29—42no—
688C22×C29—42no—
689C22×C29—42no—
690C22×C29—42no—
691C22×C29—42no—
692C22×C29—42no—
693C22×C29—42no—
694C22×C29—42no—
695C22×C29—42no—
696C22×C29—42no—
697C22×C29—42no—
698C22×C29—42no—
699C22×C29—42no—
700C22×C29—42no—
701C22×C29—42no—
702C22×C29—42no—
703C22×C29—42no—
704C22×C29—42no—
705C22×C29—42no—
706C22×C29—42no—
707C22×C29—42no—
708C22×C29—42no—
709C22×C29—42no—
710C22×C29—42no—
711C22×C29—42no—
712C22×C29—42no—
713C22×C29—42no—
714C22×C29—42no—
715C22×C29—42no—
716C22×C29—42no—
717C22×C29—42no—
718C22×C29—81no—
719C22×C29—81no—
720C22×C29—81no—
721C22×C29—81no—
722C22×C29—81no—
723C22×C29—81no—
724C22×C29—81no—
725C22×C29—81no—
726C22×C29C2×#12011yescharacteristic
727C22×C29C2×#12111yescharacteristic
728C22×C29C2×#12311yescharacteristic
729C22×C29#53411yescharacteristic
730C22×C29#53411yescharacteristic
731C22×C29#53411yescharacteristic
732C22×C29#53411yescharacteristic
733C22×C29#53411yescharacteristic
734C22×C29#53411yescharacteristic
735C22×C29#53411yescharacteristic
736C22×C29#53511yescharacteristic
737C22×C29#53511yescharacteristic
738C22×C29#53511yescharacteristic
739C22×C29#53811yescharacteristic
740C22×C29#53811yescharacteristic
741C22×C29#53811yescharacteristic
742C22×C29#53811yescharacteristic
743C22×C29#53811yescharacteristic
744C22×C29#53811yescharacteristic
745C22×C29D4211yescharacteristic
746C22×C29D4211yescharacteristic
747C22×C29#54611yescharacteristic
748C22×C29#54611yescharacteristic
749C22×C29#54611yescharacteristic
750C22×C29#54611yescharacteristic
751C22×C29#54611yescharacteristic
752C22×C29#54611yescharacteristic
753C22×C29#54611yescharacteristic
754C22×C29#54611yescharacteristic
755C22×C29#55111yescharacteristic
756C22×C29#55111yescharacteristic
757C22×C29#56011yescharacteristic
758C22×C29#56011yescharacteristic
759C22×C29#56011yescharacteristic
760C22×C29H(3,𝔽4)11yescharacteristic
761C4×C29—42no—
762C4×C29—42no—
763C4×C29—42no—
764C4×C29—42no—
765C4×C29—42no—
766C4×C29—81no—
767C4×C29—81no—
768C4×C29—81no—
769C4×C29—81no—
770C4×C29—81no—
771C4×C29—81no—
772C26C22×C2911yescharacteristic
773C23×D4C22×C2911yescharacteristic
774C23×D4C22×C2911yescharacteristic
775C23×D4C22×C2911yescharacteristic
776C2×#120—24no—
777C2×#120—24no—
778C2×#120—24no—
779C22×C4⋊C4C22×C2911yescharacteristic, complemented
780C22×C4⋊C4C22×C2911yescharacteristic, complemented
781C22×C22⋊C4C22×C2911yescharacteristic
782C22×C22⋊C4C22×C2911yescharacteristic
783C22×C22⋊C4C22×C2911yescharacteristic
784C22×C22⋊C4C22×C2911yescharacteristic
785C22×C22⋊C4C22×C2911yescharacteristic
786C22×C22⋊C4C22×C2911yescharacteristic
787C22×C22⋊C4C22×C2911yescharacteristic
788C22×C22⋊C4C22×C2911yescharacteristic
789C22×C22⋊C4C22×C2911yescharacteristic
790C22×C22⋊C4C22×C2911yescharacteristic
791C22×C22⋊C4C22×C2911yescharacteristic
792C22×C22⋊C4C22×C2911yescharacteristic
793C22×C22⋊C4C22×C2911yescharacteristic
794C22×C22⋊C4C22×C2911yescharacteristic
795C22×C22⋊C4C22×C2911yescharacteristic
796C22×C22⋊C4C22×C2911yescharacteristic, complemented
797C22×C22⋊C4C22×C2911yescharacteristic, complemented
798C22×C22⋊C4C22×C2911yescharacteristic, complemented
799C22×C22⋊C4C22×C2911yescharacteristic, complemented
800#397—24no—
801#394—24no—
802#394—24no—
803#379—24no—
804#379—24no—
805C2×#95C22×C2911yescharacteristic, complemented
806C2×#95C22×C2911yescharacteristic, complemented
807C2×#95C22×C2911yescharacteristic, complemented
808C2×#95C22×C2911yescharacteristic, complemented
809C2×#95C22×C2911yescharacteristic, complemented
810C2×#95C22×C2911yescharacteristic, complemented
811C2×#95C22×C2911yescharacteristic, complemented
812C2×#95C22×C2911yescharacteristic, complemented
813C2×#95C22×C2911yescharacteristic, complemented
814C2×#95C22×C2911yescharacteristic, complemented
815C2×C29—44no—
816C2×C29—44no—
817C2×C29—44no—
818C2×C29—82no—
819C2×C29#240511yescharacteristic
820C2×C29#241011yescharacteristic
821C2×C29#241211yescharacteristic
822C2×C29#261311yescharacteristic
823C2×C29#261711yescharacteristic
824C2×C29#262211yescharacteristic
825C2×C29#266811yescharacteristic
826C2×C29#267011yescharacteristic
827C2×C29#267811yescharacteristic
828C2×C29#267811yescharacteristic
829C2×C29#268411yescharacteristic
830C2×C29#268511yescharacteristic
831C2×C29#268511yescharacteristic
832C2×C29#269711yescharacteristic
833C2×C29#281211yescharacteristic
834C25—22no—
835C25—22no—
836C25—22no—
837C25—22no—
838C25—22no—
839C25—22no—
840C25—41no—
841C25—41no—
842C25—41no—
843C25—41no—
844C25—41no—
845C25—41no—
846C25—41no—
847C25—41no—
848C25D4×C2914yes—
849C25C23×C2911yescharacteristic
850C25C23×C2911yescharacteristic
851C25C23×C2911yescharacteristic
852C25C23×C2911yescharacteristic
853C22×D4—22no—
854C22×D4—22no—
855C22×D4—22no—
856C22×D4—22no—
857C22×D4—22no—
858C22×D4—22no—
859C22×D4—22no—
860C22×D4—22no—
861C22×D4—22no—
862C22×D4—22no—
863C22×D4—22no—
864C22×D4—22no—
865C22×D4—41no—
866C22×D4—41no—
867C22×D4—41no—
868C22×D4—41no—
869C22×D4—41no—
870C22×D4—41no—
871C22×D4—41no—
872C22×D4—41no—
873C22×D4D4×C2914yes—
874C23×C4C23×C2911yescharacteristic
875C23×C4C23×C2911yescharacteristic
876C23×C4C23×C2911yescharacteristic
877C23×C4C23×C2911yescharacteristic
878C23×C4C23×C2911yescharacteristic
879C23×C4C23×C2911yescharacteristic
880C23×C4C23×C2911yescharacteristic
881C23×C4C23×C2911yescharacteristic
882C23×C4C23×C2911yescharacteristic
883C23×C4C23×C2911yescharacteristic
884C23×C4C23×C2911yescharacteristic
885#120—232no—
886C2×C4⋊C4—22no—
887C2×C4⋊C4—22no—
888C2×C4⋊C4—22no—
889C2×C4⋊C4—41no—
890C2×C4⋊C4—41no—
891C2×C4⋊C4—41no—
892C2×C22⋊C4—22no—
893C2×C22⋊C4—22no—
894C2×C22⋊C4—22no—
895C2×C22⋊C4—22no—
896C2×C22⋊C4—22no—
897C2×C22⋊C4—22no—
898C2×C22⋊C4—22no—
899C2×C22⋊C4—22no—
900C2×C22⋊C4—22no—
901C2×C22⋊C4—22no—
902C2×C22⋊C4—22no—
903C2×C22⋊C4—22no—
904C2×C22⋊C4—22no—
905C2×C22⋊C4—22no—
906C2×C22⋊C4—22no—
907C2×C22⋊C4—22no—
908C2×C22⋊C4—22no—
909C2×C22⋊C4—22no—
910C2×C22⋊C4—22no—
911C2×C22⋊C4—22no—
912C2×C22⋊C4—22no—
913C2×C22⋊C4—22no—
914C2×C22⋊C4—22no—
915C2×C22⋊C4—22no—
916C2×C22⋊C4—22no—
917C2×C22⋊C4—22no—
918C2×C22⋊C4—22no—
919C2×C22⋊C4—22no—
920C2×C22⋊C4—22no—
921C2×C22⋊C4—22no—
922C2×C22⋊C4—22no—
923C2×C22⋊C4—41no—
924C2×C22⋊C4—41no—
925C2×C22⋊C4—41no—
926C2×C22⋊C4—41no—
927C2×C22⋊C4—41no—
928C2×C22⋊C4—41no—
929C2×C22⋊C4—41no—
930C2×C22⋊C4—41no—
931C2×C22⋊C4—41no—
932C2×C22⋊C4—41no—
933C2×C22⋊C4—41no—
934C2×C22⋊C4—41no—
935C2×C22⋊C4—41no—
936C2×C22⋊C4—41no—
937C2×C22⋊C4—41no—
938C2×C22⋊C4—41no—
939C2×C22⋊C4—41no—
940C2×C22⋊C4—41no—
941C2×C22⋊C4—41no—
942C2×C22⋊C4—41no—
943C2×C22⋊C4—41no—
944C2×C22⋊C4—41no—
945C2×C22⋊C4—41no—
946C2×C22⋊C4—41no—
947C2×C22⋊C4D4×C2914yes—
948C2×C22⋊C4D4×C2914yescomplemented
949#95—22no—
950#95—22no—
951#95—22no—
952#95—22no—
953#95—22no—
954#95—41no—
955#95—41no—
956#95—41no—
957#95—41no—
958#95—41no—
959C29#1625511yescharacteristic, direct product factor, Sylow
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—
985C24—21no—
986C24—21no—
987C24—21no—
988C24—21no—
989C24—21no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—21no—
994C24—21no—
995C24—21no—
996C24—28no—
997C24—28no—
998C24—28no—
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24—21no—
1004C24—21no—
1005C24—21no—
1006C24—21no—
1007C24—21no—
1008C24—21no—
1009C24—21no—
1010C24—21no—
1011C24—21no—
1012C24—21no—
1013C24—44no—
1014C24—44no—
1015C24—44no—
1016C24—44no—
1017C24—44no—
1018C24—44no—
1019C24—44no—
1020C24—44no—
1021C24—44no—
1022C24—44no—
1023C24—44no—
1024C24—44no—
1025C24—44no—
1026C24—44no—
1027C24—44no—
1028C24—44no—
1029C24—44no—
1030C24—44no—
1031C24—44no—
1032C24—44no—
1033C24—44no—
1034C24—44no—
1035C24—44no—
1036C24—44no—
1037C24—44no—
1038C24—44no—
1039C24—44no—
1040C24—44no—
1041C24—44no—
1042C24—44no—
1043C24—44no—
1044C24—44no—
1045C24C2×D4×C2912yes—
1046C24C2×D4×C2912yes—
1047C24C2×D4×C2912yes—
1048C24C2×D4×C2912yes—
1049C24C2×D4×C2912yes—
1050C24C2×D4×C2912yes—
1051C24C2×D4×C2912yes—
1052C24#41×C2912yes—
1053C24#41×C2912yes—
1054C24#41×C2912yes—
1055C24C24×C2911yescharacteristic
1056C2×D4—28no—
1057C2×D4—28no—
1058C2×D4—28no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
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×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4C2×D4×C2912yes—
1150C22×C4C2×D4×C2912yes—
1151C22×C4C2×D4×C2912yes—
1152C22×C4C2×D4×C2912yes—
1153C22×C4C2×D4×C2912yes—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C22⋊C4—28no—
1157C22⋊C4—28no—
1158C22⋊C4—28no—
1159C22⋊C4—44no—
1160C22⋊C4—44no—
1161C22⋊C4—44no—
1162C22⋊C4—44no—
1163C22⋊C4—44no—
1164C22⋊C4—44no—
1165C22⋊C4—44no—
1166C22⋊C4—44no—
1167C22⋊C4—44no—
1168C22⋊C4—44no—
1169C22⋊C4—44no—
1170C22⋊C4—44no—
1171C22⋊C4—44no—
1172C22⋊C4—44no—
1173C22⋊C4—44no—
1174C22⋊C4—44no—
1175C23—22no—
1176C23—22no—
1177C23—22no—
1178C23—22no—
1179C23—22no—
1180C23—22no—
1181C23—22no—
1182C23—22no—
1183C23—22no—
1184C23—22no—
1185C23—22no—
1186C23—22no—
1187C23—22no—
1188C23—22no—
1189C23—22no—
1190C23—22no—
1191C23—22no—
1192C23—22no—
1193C23—22no—
1194C23—22no—
1195C23—22no—
1196C23—22no—
1197C23—22no—
1198C23—22no—
1199C23—22no—
1200C23—22no—
1201C23—22no—
1202C23—22no—
1203C23—22no—
1204C23—22no—
1205C23—22no—
1206C23—22no—
1207C23—22no—
1208C23—22no—
1209C23—22no—
1210C23—22no—
1211C23—22no—
1212C23—22no—
1213C23—22no—
1214C23—22no—
1215C23—22no—
1216C23—22no—
1217C23—22no—
1218C23—22no—
1219C23—22no—
1220C23—22no—
1221C23—22no—
1222C23—22no—
1223C23—22no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—22no—
1235C23—22no—
1236C23—416no—
1237C23—416no—
1238C23—416no—
1239C23—416no—
1240C23—416no—
1241C23—416no—
1242C23—416no—
1243C23—416no—
1244C23—416no—
1245C23—416no—
1246C23—416no—
1247C23—416no—
1248C23—416no—
1249C23—416no—
1250C23—416no—
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—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23C29×#12014yes—
1328C23C29×#12114yes—
1329C23C29×#12314yes—
1330C23C22×D4×C2911yescharacteristic
1331C23C22×D4×C2911yescharacteristic
1332C23C22×D4×C2911yescharacteristic
1333C23C22×D4×C2911yescharacteristic
1334C23C2×#41×C2911yescharacteristic
1335C23C2×#41×C2911yescharacteristic
1336C23C2×#41×C2911yescharacteristic
1337C23C29×H(5,𝔽2)11yescharacteristic
1338C23C29×H(5,𝔽2)11yescharacteristic
1339C23C29×H(5,𝔽2)11yescharacteristic
1340C23C29×H(5,𝔽2)11yescharacteristic
1341C23C29×H(5,𝔽2)11yescharacteristic
1342C23C29×H(5,𝔽2)11yescharacteristic
1343C23C29×H(5,𝔽2)11yescharacteristic
1344C23C29×H(5,𝔽2)11yescharacteristic
1345D4—416no—
1346D4—416no—
1347D4—416no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C22—24no—
1426C22—24no—
1427C22—24no—
1428C22—24no—
1429C22—24no—
1430C22—24no—
1431C22—24no—
1432C22—24no—
1433C22—24no—
1434C22—464no—
1435C22—42no—
1436C22—42no—
1437C22—42no—
1438C22—42no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—42no—
1447C22—42no—
1448C22—42no—
1449C22—42no—
1450C22—42no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—42no—
1461C22—42no—
1462C22—42no—
1463C22—42no—
1464C22—42no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—42no—
1471C22—42no—
1472C22—42no—
1473C22—42no—
1474C22—42no—
1475C22—42no—
1476C22—42no—
1477C22—42no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22—81no—
1483C22—81no—
1484C22—81no—
1485C22—81no—
1486C22C2×C29×#12011yescharacteristic
1487C22C2×C29×#12111yescharacteristic
1488C22C2×C29×#12311yescharacteristic
1489C22C29×#53411yescharacteristic
1490C22C29×#53411yescharacteristic
1491C22C29×#53411yescharacteristic
1492C22C29×#53411yescharacteristic
1493C22C29×#53411yescharacteristic
1494C22C29×#53411yescharacteristic
1495C22C29×#53411yescharacteristic
1496C22C29×#53511yescharacteristic
1497C22C29×#53511yescharacteristic
1498C22C29×#53511yescharacteristic
1499C22C29×#53811yescharacteristic
1500C22C29×#53811yescharacteristic
1501C22C29×#53811yescharacteristic
1502C22C29×#53811yescharacteristic
1503C22C29×#53811yescharacteristic
1504C22C29×#53811yescharacteristic
1505C22D42×C2911yescharacteristic
1506C22D42×C2911yescharacteristic
1507C22C29×#54611yescharacteristic
1508C22C29×#54611yescharacteristic
1509C22C29×#54611yescharacteristic
1510C22C29×#54611yescharacteristic
1511C22C29×#54611yescharacteristic
1512C22C29×#54611yescharacteristic
1513C22C29×#54611yescharacteristic
1514C22C29×#54611yescharacteristic
1515C22C29×#55111yescharacteristic
1516C22C29×#55111yescharacteristic
1517C22C29×#56011yescharacteristic
1518C22C29×#56011yescharacteristic
1519C22C29×#56011yescharacteristic
1520C22C29×H(3,𝔽4)11yescharacteristic
1521C4—42no—
1522C4—42no—
1523C4—42no—
1524C4—42no—
1525C4—42no—
1526C4—81no—
1527C4—81no—
1528C4—81no—
1529C4—81no—
1530C4—81no—
1531C4—81no—
1532C2—44no—
1533C2—44no—
1534C2—44no—
1535C2—82no—
1536C2C29×#240511yescharacteristic
1537C2C29×#241011yescharacteristic
1538C2C29×#241211yescharacteristic
1539C2C29×#261311yescharacteristic
1540C2C29×#261711yescharacteristic
1541C2C29×#262211yescharacteristic
1542C2C29×#266811yescharacteristic
1543C2C29×#267011yescharacteristic
1544C2C29×#267811yescharacteristic
1545C2C29×#267811yescharacteristic
1546C2C29×#268411yescharacteristic
1547C2C29×#268511yescharacteristic
1548C2C29×#268511yescharacteristic
1549C2C29×#269711yescharacteristic
1550C2C29×#281211yescharacteristic
subgroupG/H
center, socleC24×C29C24
commutator, Frattini, cosocleC24C24×C29
prime radicalC22×C29×#120C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C29 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C29×#397C2semidirect
3. C2×C29×#394C2semidirect
4. C2×C29×#394C2semidirect
5. C2×C29×#379C2semidirect
6. C2×C29×#379C2semidirect
7. C29×#1440C2semidirect
8. C29×#1440C2semidirect
9. C29×#1439C2semidirect
10. C29×#1439C2semidirect
11. C29×#1439C2semidirect
12. C29×#1438C2semidirect
13. C29×#1438C2semidirect
14. C29×#1438C2semidirect
15. C29×#1438C2semidirect
23. C22×C4⋊C4×C29C22semidirect
24. C22×C4⋊C4×C29C22semidirect
40. C22×C22⋊C4×C29C22semidirect
41. C22×C22⋊C4×C29C22semidirect
42. C22×C22⋊C4×C29C22semidirect
43. C22×C22⋊C4×C29C22semidirect
49. C2×C29×#95C22semidirect
50. C2×C29×#95C22semidirect
51. C2×C29×#95C22semidirect
52. C2×C29×#95C22semidirect
53. C2×C29×#95C22semidirect
54. C2×C29×#95C22semidirect
55. C2×C29×#95C22semidirect
56. C2×C29×#95C22semidirect
57. C2×C29×#95C22semidirect
58. C2×C29×#95C22semidirect
173. C2×C22⋊C4×C29D4semidirect
399. #16255C29direct (N × H)
651. C2×#397C2×C29semidirect
652. C2×#394C2×C29semidirect
653. C2×#394C2×C29semidirect
654. C2×#379C2×C29semidirect
655. C2×#379C2×C29semidirect
656. #1440C2×C29semidirect
657. #1440C2×C29semidirect
658. #1439C2×C29semidirect
659. #1439C2×C29semidirect
660. #1439C2×C29semidirect
661. #1438C2×C29semidirect
662. #1438C2×C29semidirect
663. #1438C2×C29semidirect
664. #1438C2×C29semidirect
779. C22×C4⋊C4C22×C29semidirect
780. C22×C4⋊C4C22×C29semidirect
796. C22×C22⋊C4C22×C29semidirect
797. C22×C22⋊C4C22×C29semidirect
798. C22×C22⋊C4C22×C29semidirect
799. C22×C22⋊C4C22×C29semidirect
805. C2×#95C22×C29semidirect
806. C2×#95C22×C29semidirect
807. C2×#95C22×C29semidirect
808. C2×#95C22×C29semidirect
809. C2×#95C22×C29semidirect
810. C2×#95C22×C29semidirect
811. C2×#95C22×C29semidirect
812. C2×#95C22×C29semidirect
813. C2×#95C22×C29semidirect
814. C2×#95C22×C29semidirect
948. C2×C22⋊C4D4×C29semidirect
959. C29#16255direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C29×#1202
C2×C29×#3972
C2×C29×#3942
C2×C29×#3792
C29×#14402
C29×#14392
C29×#14382
#1625529