Finite Group Databasebeta

← C29×#62081 #20356981

Subgroups — C29×#62081 #20356981

Order 7424.

1900 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3543C211yesmaximal, characteristic, complemented
2C29×#3524C211yesmaximal, characteristic, complemented
3C29×#3403C211yesmaximal, characteristic, complemented
4C29×#3399C211yesmaximal, characteristic, complemented
5C29×#3371C211yesmaximal, characteristic, complemented
6C29×#3368C211yesmaximal, characteristic, complemented
7C29×#3325C211yesmaximal, characteristic, complemented
8C29×#3323C211yesmaximal, characteristic, complemented
9C29×#3319C211yesmaximal, characteristic, complemented
10C29×#3318C211yesmaximal, characteristic, complemented
11C29×#3310C211yesmaximal, characteristic, complemented
12C29×#3309C211yesmaximal, characteristic, complemented
13C29×#3275C211yesmaximal, characteristic, complemented
14C29×#3274C211yesmaximal, characteristic, complemented
15C29×#3271C211yesmaximal, characteristic, complemented
16C29×#3268C211yesmaximal, characteristic, complemented
17C29×#3265C211yesmaximal, characteristic, complemented
18C29×#3265C211yesmaximal, characteristic, complemented
19C29×#3259C211yesmaximal, characteristic, complemented
20C29×#3257C211yesmaximal, characteristic, complemented
21C29×#3256C211yesmaximal, characteristic, complemented
22C29×#3224C211yesmaximal, characteristic, complemented
23C29×#3220C211yesmaximal, characteristic, complemented
24C29×#3217C211yesmaximal, characteristic, complemented
25C29×#3126C211yesmaximal, characteristic, complemented
26C29×#3119C211yesmaximal, characteristic, complemented
27C29×#3111C211yesmaximal, characteristic, complemented
28C29×#3045C211yesmaximal, characteristic, complemented
29C29×#3043C211yesmaximal, characteristic, complemented
30C29×#3038C211yesmaximal, characteristic, complemented
31C29×#2995C211yesmaximal, characteristic, complemented
32C2×C29×#137C2211yescharacteristic, complemented
33C2×C29×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C2×C29×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C2×C29×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C2×C29×#135C2211yescharacteristic, complemented
37C22×SD16×C29C2211yescharacteristic, complemented
38C29×#560—21no—
39C29×#560—21no—
40C29×#559—21no—
41C29×#559C2211yescharacteristic
42C29×#559C2211yescharacteristic, complemented
43C29×#557C2211yescharacteristic, complemented
44C29×#555—21no—
45C29×#555C2211yescharacteristic, complemented
46C29×#553—21no—
47C29×#553C2211yescharacteristic, complemented
48C29×#552—21no—
49C29×#552C2211yescharacteristic, complemented
50C29×#550C2211yescharacteristic
51C29×#550C2211yescharacteristic
52C29×#550C2211yescharacteristic, complemented
53C29×#548C2211yescharacteristic, complemented
54C29×#548C2211yescharacteristic, complemented
55C29×#546—21no—
56C29×#546C2211yescharacteristic
57C29×#546C2211yescharacteristic
58D42×C29—21no—
59D42×C29C2211yescharacteristic
60D42×C29C2211yescharacteristic
61D42×C29C2211yescharacteristic
62C29×#542—21no—
63C29×#542C2211yescharacteristic, complemented
64C29×#540—21no—
65C29×#540—21no—
66C29×#540C2211yescharacteristic
67C29×#540C2211yescharacteristic
68C29×#540C2211yescharacteristic, complemented
69C29×#535—21no—
70C29×#535C2211yescharacteristic
71C29×#535C2211yescharacteristic
72C29×#534—21no—
73C29×#534—21no—
74C2×C29×#127C2211yescharacteristic
75C29×#529—21no—
76C29×#529—21no—
77C29×#529C2211yescharacteristic
78C29×#529C2211yescharacteristic
79C29×#529C2211yescharacteristic, complemented
80C29×#520C2211yescharacteristic, complemented
81C29×#519C2211yescharacteristic, complemented
82C4×#41×C29C2211yescharacteristic, complemented
83C29×#496C2211yescharacteristic
84C29×#496C2211yescharacteristic, complemented
85C29×#496C2211yescharacteristic, complemented
86C29×#496C2211yescharacteristic, complemented
87C29×#495C2211yescharacteristic, complemented
88C29×#493C2211yescharacteristic, complemented
89C29×#490C2211yescharacteristic
90C29×#490C2211yescharacteristic, complemented
91C29×#490C2211yescharacteristic, complemented
92C29×#489C2211yescharacteristic, complemented
93C29×#488C2211yescharacteristic, complemented
94C29×#486C2211yescharacteristic, complemented
95C29×#485C2211yescharacteristic, complemented
96C29×#482C2211yescharacteristic
97C29×#482C2211yescharacteristic, complemented
98C29×#482C2211yescharacteristic, complemented
99C29×#481C2211yescharacteristic, complemented
100C29×#480C2211yescharacteristic, complemented
101C29×#479C2211yescharacteristic, complemented
102C29×#479C2211yescharacteristic, complemented
103C29×#479C2211yescharacteristic, complemented
104C29×#478C2211yescharacteristic, complemented
105C29×#478C2211yescharacteristic, complemented
106C29×#478C2211yescharacteristic, complemented
107C29×#478C2211yescharacteristic, complemented
108C29×#478C2211yescharacteristic, complemented
109C29×#476C2211yescharacteristic, complemented
110C29×#474C2211yescharacteristic, complemented
111C29×#470C2211yescharacteristic, complemented
112C29×#469C2211yescharacteristic
113C29×#469C2211yescharacteristic, complemented
114C29×#469C2211yescharacteristic, complemented
115C29×#469C2211yescharacteristic, complemented
116C29×#468C2211yescharacteristic
117C29×#468C2211yescharacteristic, complemented
118C29×#468C2211yescharacteristic, complemented
119C29×#466C2211yescharacteristic, complemented
120C29×#466C2211yescharacteristic, complemented
121C29×#466C2211yescharacteristic, complemented
122C29×#465C2211yescharacteristic, complemented
123C29×#464C2211yescharacteristic, complemented
124C29×#464C2211yescharacteristic, complemented
125C29×#464C2211yescharacteristic, complemented
126C29×#464C2211yescharacteristic, complemented
127C29×#464C2211yescharacteristic, complemented
128C29×#464C2211yescharacteristic, complemented
129C29×#463C2211yescharacteristic, complemented
130C29×#463C2211yescharacteristic, complemented
131C29×#463C2211yescharacteristic, complemented
132C29×#463C2211yescharacteristic, complemented
133C29×#463C2211yescharacteristic, complemented
134C29×#463C2211yescharacteristic, complemented
135C29×#460C2211yescharacteristic
136C29×#460C2211yescharacteristic, complemented
137C29×#460C2211yescharacteristic, complemented
138C29×#460C2211yescharacteristic, complemented
139C29×#460C2211yescharacteristic, complemented
140C29×#460C2211yescharacteristic, complemented
141C29×#460C2211yescharacteristic, complemented
142C29×#460C2211yescharacteristic, complemented
143C29×#460C2211yescharacteristic, complemented
144C29×#459C2211yescharacteristic
145C29×#459C2211yescharacteristic, complemented
146C29×#459C2211yescharacteristic, complemented
147C29×#459C2211yescharacteristic, complemented
148C29×#459C2211yescharacteristic, complemented
149C29×#459C2211yescharacteristic, complemented
150C29×#459C2211yescharacteristic, complemented
151C29×#459C2211yescharacteristic, complemented
152C29×#459C2211yescharacteristic, complemented
153C29×#452C2211yescharacteristic, complemented
154C29×#452C2211yescharacteristic, complemented
155C29×#450C2211yescharacteristic, complemented
156C29×#450C2211yescharacteristic, complemented
157C29×#450C2211yescharacteristic, complemented
158C29×#449C2211yescharacteristic
159C29×#449C2211yescharacteristic, complemented
160C29×#449C2211yescharacteristic, complemented
161C29×#449C2211yescharacteristic, complemented
162C29×#449C2211yescharacteristic, complemented
163C29×#449C2211yescharacteristic, complemented
164C29×#448C2211yescharacteristic, complemented
165C29×#448C2211yescharacteristic, complemented
166C29×#447C2211yescharacteristic, complemented
167C29×#447C2211yescharacteristic, complemented
168C29×#447C2211yescharacteristic, complemented
169C29×#447C2211yescharacteristic, complemented
170C29×#447C2211yescharacteristic, complemented
171C29×#446C2211yescharacteristic, complemented
172C29×#446C2211yescharacteristic, complemented
173C29×#442C2211yescharacteristic, complemented
174C29×#442C2211yescharacteristic, complemented
175C29×#441C2211yescharacteristic, complemented
176C29×#440C2211yescharacteristic, complemented
177C29×#440C2211yescharacteristic, complemented
178C29×#440C2211yescharacteristic, complemented
179C29×#440C2211yescharacteristic, complemented
180C29×#440C2211yescharacteristic, complemented
181C4×SD16×C29C2211yescharacteristic, complemented
182C4×SD16×C29C2211yescharacteristic, complemented
183C4×SD16×C29C2211yescharacteristic, complemented
184C4×D8×C29C2211yescharacteristic, complemented
185C29×#436C2211yescharacteristic, complemented
186C29×#436C2211yescharacteristic, complemented
187C29×#435C2211yescharacteristic, complemented
188C29×#435C2211yescharacteristic, complemented
189C29×#435C2211yescharacteristic, complemented
190C29×#435C2211yescharacteristic, complemented
191C29×#433C2211yescharacteristic, complemented
192C29×#433C2211yescharacteristic, complemented
193C29×#432C2211yescharacteristic, complemented
194C29×#424C2211yescharacteristic, complemented
195C29×#424C2211yescharacteristic, complemented
196C29×#423C2211yescharacteristic, complemented
197C29×#418C2211yescharacteristic, complemented
198C29×#418C2211yescharacteristic, complemented
199C29×#418C2211yescharacteristic, complemented
200C29×#417C2211yescharacteristic, complemented
201C29×#416C2211yescharacteristic, complemented
202C2×C29×#102C2211yescharacteristic, complemented
203C2×#41×C29—21no—
204C2×#41×C29C2311yescharacteristic
205C2×#41×C29C2311yescharacteristic
206C2×#41×C29C2311yescharacteristic
207C2×#41×C29C2311yescharacteristic
208C22×Q8×C29C2311yescharacteristic
209C22×D4×C29—21no—
210C22×D4×C29—21no—
211C22×D4×C29—21no—
212C22×D4×C29—21no—
213C22×D4×C29—21no—
214C22×D4×C29C2311yescharacteristic
215C22×D4×C29C2311yescharacteristic
216C22×D4×C29C2311yescharacteristic
217C22×D4×C29C2311yescharacteristic
218C29×#137—42no—
219C29×AGL(1,ℤ/8)—42no—
220C29×AGL(1,ℤ/8)—42no—
221C29×AGL(1,ℤ/8)—42no—
222C29×#135—42no—
223C2×Q16×C29C2311yescharacteristic
224C2×Q16×C29C2311yescharacteristic
225C2×SD16×C29—42no—
226C2×SD16×C29C2311yescharacteristic
227C2×SD16×C29C2311yescharacteristic
228C2×SD16×C29C2311yescharacteristic
229C2×SD16×C29C2311yescharacteristic
230C2×SD16×C29C2311yescharacteristic
231C2×SD16×C29C2311yescharacteristic
232C2×SD16×C29C2311yescharacteristic
233C2×SD16×C29C2311yescharacteristic
234C2×SD16×C29C2311yescharacteristic
235C2×SD16×C29C2311yescharacteristic
236C2×SD16×C29C2311yescharacteristic
237C2×SD16×C29C2311yescharacteristic
238C2×D8×C29C2311yescharacteristic
239C2×D8×C29C2311yescharacteristic
240C2×D8×C29C2311yescharacteristic
241C2×D8×C29C2311yescharacteristic
242C2×D8×C29C2311yescharacteristic
243C2×D8×C29C2311yescharacteristic
244C2×D8×C29C2311yescharacteristic
245C2×D8×C29C2311yescharacteristic
246C2×D8×C29C2311yescharacteristic
247C2×D8×C29C2311yescharacteristic
248C2×M16×C29C2311yescharacteristic
249C2×M16×C29C2311yescharacteristic
250C2×M16×C29C2311yescharacteristic
251C2×M16×C29C2311yescharacteristic
252C22×C8×C29C2311yescharacteristic
253C22×C8×C29C2311yescharacteristic
254C29×C4⋊Q8—21no—
255C29×C4⋊Q8C2311yescharacteristic
256C29×#127—21no—
257C29×#127—21no—
258C29×#127—21no—
259C29×#127—21no—
260C29×#127C2311yescharacteristic
261C29×#127C2311yescharacteristic
262C29×#127C2311yescharacteristic
263C29×#127C2311yescharacteristic
264C29×#127C2311yescharacteristic
265C29×#127C2311yescharacteristic
266C29×#127C2311yescharacteristic
267C29×#126—21no—
268C29×#126—21no—
269C29×#126—21no—
270C29×#126—21no—
271C29×#126—21no—
272C29×#126D411yescharacteristic
273C29×#126D411yescharacteristic
274C29×#125—21no—
275C29×#125—21no—
276C29×#125—21no—
277C29×#125D411yescharacteristic
278C29×#125C2311yescharacteristic
279C29×#125C2311yescharacteristic
280C29×#125C2311yescharacteristic
281C29×#124—21no—
282C29×#124—21no—
283C29×#124—21no—
284C29×#124—21no—
285C29×#124—21no—
286C29×#124—21no—
287C29×#124—21no—
288C29×#124D411yescharacteristic
289C29×#124C2311yescharacteristic
290C29×#124C2311yescharacteristic
291C29×#124C2311yescharacteristic
292C29×#124C2311yescharacteristic
293C29×#124C2311yescharacteristic
294C29×#123—21no—
295C29×#123—21no—
296C29×#123—21no—
297C29×#123—21no—
298C29×#123—21no—
299C29×#123—21no—
300C29×#123—21no—
301C29×#123—21no—
302C29×#123—21no—
303C29×#123—21no—
304C29×#123—21no—
305C29×#123—21no—
306C29×#123—21no—
307C29×#123—21no—
308C29×#123—21no—
309C29×#123—21no—
310C29×#123—21no—
311C29×#123D411yescharacteristic
312C29×#123D411yescharacteristic
313C29×C22⋊Q8—21no—
314C29×C22⋊Q8—21no—
315C29×C22⋊Q8—21no—
316C29×C22⋊Q8D411yescharacteristic
317C29×C22⋊Q8C2311yescharacteristic
318C29×C22⋊Q8C2311yescharacteristic
319C29×C22⋊Q8C2311yescharacteristic
320C29×#121—21no—
321C29×#121—21no—
322C29×#121—21no—
323C29×#121—21no—
324C29×#121—21no—
325C29×#121—21no—
326C29×#121—21no—
327C29×#121—21no—
328C29×#121—21no—
329C29×#121—21no—
330C29×#121—21no—
331C29×#121—21no—
332C29×#121—21no—
333C29×#121—21no—
334C29×#121—21no—
335C29×#121—21no—
336C29×#121—21no—
337C29×#121—21no—
338C29×#121—21no—
339C29×#121—21no—
340C29×#121—21no—
341C29×#121—21no—
342C29×#121—21no—
343C29×#121—21no—
344C29×#121—21no—
345C29×#121—21no—
346C29×#121D411yescharacteristic
347C29×#121C2311yescharacteristic
348C29×#121C2311yescharacteristic
349C29×#121C2311yescharacteristic
350C29×#121C2311yescharacteristic
351C29×#121C2311yescharacteristic
352C29×#121C2311yescharacteristic
353C29×#121C2311yescharacteristic
354C29×#121C2311yescharacteristic
355C29×#121C2311yescharacteristic
356C29×#120—21no—
357C29×#120—21no—
358C29×#120—21no—
359C29×#120—21no—
360C29×#120—21no—
361C29×#120—21no—
362C29×#120—21no—
363C29×#120—21no—
364C29×#120—21no—
365C29×#120—21no—
366C29×#120—21no—
367C29×#120—21no—
368C4×Q8×C29—21no—
369C4×Q8×C29—21no—
370C4×Q8×C29—21no—
371C4×Q8×C29C2311yescharacteristic
372C4×Q8×C29C2311yescharacteristic
373C4×Q8×C29C2311yescharacteristic
374C4×Q8×C29C2311yescharacteristic
375C4×Q8×C29C2311yescharacteristic
376C4×Q8×C29C2311yescharacteristic
377C4×Q8×C29C2311yescharacteristic
378C4×Q8×C29C2311yescharacteristic
379C4×D4×C29—21no—
380C4×D4×C29—21no—
381C4×D4×C29—21no—
382C4×D4×C29—21no—
383C4×D4×C29—21no—
384C4×D4×C29—21no—
385C4×D4×C29—21no—
386C4×D4×C29—21no—
387C4×D4×C29—21no—
388C4×D4×C29—21no—
389C4×D4×C29—21no—
390C4×D4×C29—21no—
391C4×D4×C29—21no—
392C4×D4×C29C2311yescharacteristic
393C4×D4×C29C2311yescharacteristic
394C4×D4×C29C2311yescharacteristic
395C4×D4×C29C2311yescharacteristic
396C4×D4×C29C2311yescharacteristic
397C4×D4×C29C2311yescharacteristic
398C4×D4×C29C2311yescharacteristic
399C4×D4×C29C2311yescharacteristic
400C4×D4×C29C2311yescharacteristic
401C4×D4×C29C2311yescharacteristic
402C4×D4×C29C2311yescharacteristic
403C4×D4×C29C2311yescharacteristic
404C29×#117—21no—
405C29×#117—21no—
406C29×#117—21no—
407C29×#117—21no—
408C29×#117—21no—
409C29×#117—21no—
410C29×#117—21no—
411C29×#117—21no—
412C29×#117C2311yescharacteristic
413C29×#117C2311yescharacteristic
414C29×#117C2311yescharacteristic
415C29×#117C2311yescharacteristic
416C2×C4⋊C4×C29—21no—
417C2×C4⋊C4×C29C2311yescharacteristic
418C2×C22⋊C4×C29—21no—
419C2×C22⋊C4×C29—21no—
420C2×C42×C29—21no—
421C2×C42×C29C2311yescharacteristic
422C29×#107C2311yescharacteristic
423C29×#107C2311yescharacteristic
424C29×#107C2311yescharacteristic
425C29×#107C2311yescharacteristic
426C29×#106C2311yescharacteristic
427C29×#106C2311yescharacteristic
428C29×#106C2311yescharacteristic
429C29×#106C2311yescharacteristic
430C29×C4⋊C8C2311yescharacteristic
431C29×C4⋊C8C2311yescharacteristic
432C29×C4⋊C8C2311yescharacteristic
433C29×C4⋊C8C2311yescharacteristic
434C29×C4⋊C8C2311yescharacteristic
435C29×C4⋊C8C2311yescharacteristic
436C29×C4⋊C8C2311yescharacteristic
437C29×C4⋊C8C2311yescharacteristic
438C29×C4⋊C8C2311yescharacteristic
439C29×C4⋊C8C2311yescharacteristic
440C29×#103C2311yescharacteristic
441C29×#103C2311yescharacteristic
442C29×#103C2311yescharacteristic
443C29×#103C2311yescharacteristic
444C29×#103C2311yescharacteristic
445C29×#103C2311yescharacteristic
446C29×#103C2311yescharacteristic
447C29×#103C2311yescharacteristic
448C29×#102C2311yescharacteristic
449C29×#102C2311yescharacteristic
450C29×#102C2311yescharacteristic
451C29×#102C2311yescharacteristic
452C29×#102C2311yescharacteristic
453C29×#102C2311yescharacteristic
454C29×#102C2311yescharacteristic
455C29×#102C2311yescharacteristic
456C29×#102C2311yescharacteristic
457C29×#102C2311yescharacteristic
458C29×#102C2311yescharacteristic
459C29×#102C2311yescharacteristic
460C29×#102C2311yescharacteristic
461C29×#102C2311yescharacteristic
462C29×#102C2311yescharacteristic
463C29×#102C2311yescharacteristic
464C29×#102C2311yescharacteristic
465C29×#102C2311yescharacteristic
466C29×#102C2311yescharacteristic
467C29×#102C2311yescharacteristic
468C29×#102C2311yescharacteristic
469C29×#102C2311yescharacteristic
470C29×#102C2311yescharacteristic
471C29×#102C2311yescharacteristic
472C29×C22⋊C8C2311yescharacteristic
473C29×C22⋊C8C2311yescharacteristic
474C29×C22⋊C8C2311yescharacteristic
475C29×C22⋊C8C2311yescharacteristic
476C29×C22⋊C8C2311yescharacteristic
477C29×C22⋊C8C2311yescharacteristic
478C29×#97C2311yescharacteristic
479C29×#97C2311yescharacteristic
480C29×#97C2311yescharacteristic
481C29×#97C2311yescharacteristic
482C4×C8×C29C2311yescharacteristic
483C4×C8×C29C2311yescharacteristic
484C24×C29—21no—
485C24×C29—21no—
486C24×C29—21no—
487C24×C29—21no—
488#41×C29—22no—
489#41×C29—22no—
490#41×C29—41no—
491#41×C29—41no—
492#41×C29—41no—
493#41×C29—41no—
494#41×C29—41no—
495#41×C29—41no—
496#41×C29—82no—
497C2×Q8×C29—21no—
498C2×Q8×C29—21no—
499C2×Q8×C29—22no—
500C2×Q8×C29—41no—
501C2×Q8×C29C2×D411yescharacteristic
502C2×Q8×C29C2411yescharacteristic
503C2×Q8×C29C2411yescharacteristic
504C2×Q8×C29C2411yescharacteristic
505C2×D4×C29—21no—
506C2×D4×C29—21no—
507C2×D4×C29—21no—
508C2×D4×C29—21no—
509C2×D4×C29—21no—
510C2×D4×C29—21no—
511C2×D4×C29—21no—
512C2×D4×C29—21no—
513C2×D4×C29—21no—
514C2×D4×C29—21no—
515C2×D4×C29—21no—
516C2×D4×C29—21no—
517C2×D4×C29—21no—
518C2×D4×C29—21no—
519C2×D4×C29—21no—
520C2×D4×C29—21no—
521C2×D4×C29—21no—
522C2×D4×C29—21no—
523C2×D4×C29—21no—
524C2×D4×C29—21no—
525C2×D4×C29—21no—
526C2×D4×C29—21no—
527C2×D4×C29—21no—
528C2×D4×C29—21no—
529C2×D4×C29—21no—
530C2×D4×C29—21no—
531C2×D4×C29—21no—
532C2×D4×C29—21no—
533C2×D4×C29—21no—
534C2×D4×C29—21no—
535C2×D4×C29—21no—
536C2×D4×C29—41no—
537C2×D4×C29—41no—
538C2×D4×C29—41no—
539C2×D4×C29—41no—
540C2×D4×C29—41no—
541C2×D4×C29—41no—
542C2×D4×C29—41no—
543C2×D4×C29—41no—
544C2×D4×C29—82no—
545C2×D4×C29—82no—
546C2×D4×C29—82no—
547C2×D4×C29—82no—
548C2×D4×C29—82no—
549C2×D4×C29C2×D411yescharacteristic
550C2×D4×C29C2×D411yescharacteristic
551C2×D4×C29C2×D411yescharacteristic
552C2×D4×C29C2411yescharacteristic
553C2×D4×C29C2411yescharacteristic
554C2×D4×C29C2411yescharacteristic
555C2×D4×C29C2411yescharacteristic
556C2×D4×C29C2411yescharacteristic
557C2×D4×C29C2411yescharacteristic
558C2×D4×C29C2411yescharacteristic
559C22×C4×C29—21no—
560C22×C4×C29—21no—
561C22×C4×C29—21no—
562C22×C4×C29—21no—
563C22×C4×C29—21no—
564C22×C4×C29—21no—
565C22×C4×C29—21no—
566C22×C4×C29—21no—
567C22×C4×C29—21no—
568C22×C4×C29—21no—
569C22×C4×C29—21no—
570C22×C4×C29—21no—
571C22×C4×C29—21no—
572C22×C4×C29—21no—
573C22×C4×C29—21no—
574C22×C4×C29C2×D411yescharacteristic
575C22×C4×C29C2×D411yescharacteristic
576C22×C4×C29C2411yescharacteristic
577C22×C4×C29C2411yescharacteristic
578C22×C4×C29C2411yescharacteristic
579Q16×C29—22no—
580Q16×C29—41no—
581SD16×C29—22no—
582SD16×C29—22no—
583SD16×C29—22no—
584SD16×C29—22no—
585SD16×C29—22no—
586SD16×C29—41no—
587SD16×C29—41no—
588SD16×C29—41no—
589SD16×C29—41no—
590SD16×C29—41no—
591SD16×C29—41no—
592SD16×C29—41no—
593D8×C29—41no—
594D8×C29—41no—
595D8×C29—41no—
596D8×C29—41no—
597D8×C29—41no—
598D8×C29—41no—
599D8×C29—41no—
600D8×C29—41no—
601D8×C29—41no—
602D8×C29—41no—
603M16×C29—41no—
604M16×C29—41no—
605M16×C29—41no—
606M16×C29—41no—
607C2×C8×C29—41no—
608C2×C8×C29—41no—
609C2×C8×C29C2411yescharacteristic
610C2×C8×C29C2411yescharacteristic
611C2×C8×C29C2411yescharacteristic
612C2×C8×C29C2411yescharacteristic
613C2×C8×C29C2411yescharacteristic
614C2×C8×C29C2411yescharacteristic
615C2×C8×C29C2411yescharacteristic
616C2×C8×C29C2411yescharacteristic
617C4⋊C4×C29—21no—
618C4⋊C4×C29—21no—
619C4⋊C4×C29—21no—
620C4⋊C4×C29—21no—
621C4⋊C4×C29—21no—
622C4⋊C4×C29—21no—
623C4⋊C4×C29—21no—
624C4⋊C4×C29—21no—
625C4⋊C4×C29—21no—
626C4⋊C4×C29—21no—
627C4⋊C4×C29—21no—
628C4⋊C4×C29—21no—
629C4⋊C4×C29—21no—
630C4⋊C4×C29—21no—
631C4⋊C4×C29—21no—
632C4⋊C4×C29—21no—
633C4⋊C4×C29—21no—
634C4⋊C4×C29—21no—
635C4⋊C4×C29C2×D411yescharacteristic
636C4⋊C4×C29C2×D411yescharacteristic
637C4⋊C4×C29C2×D411yescharacteristic
638C4⋊C4×C29C2×D411yescharacteristic
639C4⋊C4×C29C2×D411yescharacteristic
640C4⋊C4×C29C2×D411yescharacteristic
641C4⋊C4×C29C2×D411yescharacteristic
642C4⋊C4×C29C2×D411yescharacteristic
643C4⋊C4×C29C2×D411yescharacteristic
644C4⋊C4×C29C2×D411yescharacteristic
645C4⋊C4×C29C2411yescharacteristic
646C4⋊C4×C29C2411yescharacteristic
647C4⋊C4×C29C2411yescharacteristic
648C4⋊C4×C29C2411yescharacteristic
649C4⋊C4×C29C2411yescharacteristic
650C4⋊C4×C29C2411yescharacteristic
651C22⋊C4×C29—21no—
652C22⋊C4×C29—21no—
653C22⋊C4×C29—21no—
654C22⋊C4×C29—21no—
655C22⋊C4×C29—21no—
656C22⋊C4×C29—21no—
657C22⋊C4×C29—21no—
658C22⋊C4×C29—21no—
659C22⋊C4×C29—21no—
660C22⋊C4×C29—21no—
661C22⋊C4×C29—21no—
662C22⋊C4×C29—21no—
663C22⋊C4×C29—21no—
664C22⋊C4×C29—21no—
665C22⋊C4×C29—21no—
666C22⋊C4×C29—21no—
667C22⋊C4×C29—21no—
668C22⋊C4×C29—21no—
669C22⋊C4×C29—21no—
670C22⋊C4×C29—21no—
671C22⋊C4×C29—21no—
672C22⋊C4×C29—21no—
673C22⋊C4×C29—21no—
674C22⋊C4×C29—21no—
675C22⋊C4×C29—21no—
676C22⋊C4×C29—21no—
677C22⋊C4×C29—21no—
678C22⋊C4×C29—21no—
679C22⋊C4×C29—21no—
680C22⋊C4×C29—21no—
681C22⋊C4×C29—21no—
682C22⋊C4×C29—21no—
683C22⋊C4×C29—21no—
684C22⋊C4×C29C2×D411yescharacteristic
685C22⋊C4×C29C2×D411yescharacteristic
686C22⋊C4×C29C2×D411yescharacteristic
687C22⋊C4×C29C2×D411yescharacteristic
688C22⋊C4×C29C2×D411yescharacteristic
689C22⋊C4×C29C2×D411yescharacteristic
690C22⋊C4×C29C2×D411yescharacteristic
691C22⋊C4×C29C2×D411yescharacteristic
692C22⋊C4×C29C2×D411yescharacteristic
693C22⋊C4×C29C2×D411yescharacteristic
694C42×C29—21no—
695C42×C29—21no—
696C42×C29—21no—
697C42×C29—21no—
698C42×C29—21no—
699C42×C29—21no—
700C42×C29—21no—
701C42×C29—21no—
702C42×C29—21no—
703C42×C29C2×D411yescharacteristic
704C42×C29C2×D411yescharacteristic
705C42×C29C2411yescharacteristic
706C42×C29C2411yescharacteristic
707C42×C29C2411yescharacteristic
708C42×C29C2411yescharacteristic
709#62081C2911yesmaximal, characteristic, direct product factor, Sylow
710C23×C29—21no—
711C23×C29—21no—
712C23×C29—21no—
713C23×C29—21no—
714C23×C29—21no—
715C23×C29—21no—
716C23×C29—21no—
717C23×C29—42no—
718C23×C29—42no—
719C23×C29—81no—
720C23×C29—81no—
721C23×C29—81no—
722C23×C29—81no—
723C23×C29—81no—
724C23×C29—81no—
725C23×C29—81no—
726C23×C29—81no—
727C23×C29—81no—
728C23×C29—81no—
729C23×C29C22×D411yescharacteristic
730C23×C29C22×D411yescharacteristic
731C23×C29C22×D411yescharacteristic
732Q8×C29—21no—
733Q8×C29—21no—
734Q8×C29—21no—
735Q8×C29—21no—
736Q8×C29—21no—
737Q8×C29—41no—
738Q8×C29—42no—
739Q8×C29—81no—
740Q8×C29H(5,𝔽2)12yes—
741D4×C29—21no—
742D4×C29—21no—
743D4×C29—21no—
744D4×C29—21no—
745D4×C29—21no—
746D4×C29—21no—
747D4×C29—21no—
748D4×C29—21no—
749D4×C29—21no—
750D4×C29—21no—
751D4×C29—21no—
752D4×C29—21no—
753D4×C29—21no—
754D4×C29—21no—
755D4×C29—41no—
756D4×C29—41no—
757D4×C29—41no—
758D4×C29—42no—
759D4×C29—42no—
760D4×C29—42no—
761D4×C29—42no—
762D4×C29—42no—
763D4×C29—81no—
764D4×C29—81no—
765D4×C29—81no—
766D4×C29—81no—
767D4×C29—81no—
768D4×C29—81no—
769D4×C29—81no—
770D4×C29—81no—
771D4×C29—81no—
772D4×C29—81no—
773D4×C29—81no—
774D4×C29—81no—
775D4×C29—81no—
776D4×C29—81no—
777D4×C29—81no—
778D4×C29—81no—
779D4×C29—81no—
780D4×C29—81no—
781D4×C29—81no—
782D4×C29—81no—
783D4×C29—81no—
784D4×C29—81no—
785D4×C29—81no—
786D4×C29—81no—
787D4×C29—81no—
788D4×C29—81no—
789C2×C4×C29—21no—
790C2×C4×C29—21no—
791C2×C4×C29—21no—
792C2×C4×C29—21no—
793C2×C4×C29—21no—
794C2×C4×C29—21no—
795C2×C4×C29—21no—
796C2×C4×C29—21no—
797C2×C4×C29—21no—
798C2×C4×C29—21no—
799C2×C4×C29—21no—
800C2×C4×C29—21no—
801C2×C4×C29—21no—
802C2×C4×C29—21no—
803C2×C4×C29—21no—
804C2×C4×C29—41no—
805C2×C4×C29—41no—
806C2×C4×C29—42no—
807C2×C4×C29—42no—
808C2×C4×C29—42no—
809C2×C4×C29—42no—
810C2×C4×C29—81no—
811C2×C4×C29—81no—
812C2×C4×C29—81no—
813C2×C4×C29—81no—
814C2×C4×C29—81no—
815C2×C4×C29—81no—
816C2×C4×C29—81no—
817C2×C4×C29—81no—
818C2×C4×C29—81no—
819C2×C4×C29—81no—
820C2×C4×C29—81no—
821C2×C4×C29C22×D411yescharacteristic
822C2×C4×C29C22×D411yescharacteristic
823C2×C4×C29C22×D411yescharacteristic
824C2×C4×C29C22×D411yescharacteristic
825C2×C4×C29C22×D411yescharacteristic
826C2×C4×C29C22×D411yescharacteristic
827C2×C4×C29C22×D411yescharacteristic
828C2×C4×C29C22×D411yescharacteristic
829C2×C4×C29C22×D411yescharacteristic
830C2×C4×C29C22×D411yescharacteristic
831C2×C4×C29C22×D411yescharacteristic
832C2×C4×C29C2511yescharacteristic
833C8×C29—21no—
834C8×C29—21no—
835C8×C29—21no—
836C8×C29—21no—
837C8×C29—21no—
838C8×C29—21no—
839C8×C29—21no—
840C8×C29—21no—
841#3543C2×C2911yescharacteristic, complemented
842#3524C2×C2911yescharacteristic, complemented
843#3403C2×C2911yescharacteristic, complemented
844#3399C2×C2911yescharacteristic, complemented
845#3371C2×C2911yescharacteristic, complemented
846#3368C2×C2911yescharacteristic, complemented
847#3325C2×C2911yescharacteristic, complemented
848#3323C2×C2911yescharacteristic, complemented
849#3319C2×C2911yescharacteristic, complemented
850#3318C2×C2911yescharacteristic, complemented
851#3310C2×C2911yescharacteristic, complemented
852#3309C2×C2911yescharacteristic, complemented
853#3275C2×C2911yescharacteristic, complemented
854#3274C2×C2911yescharacteristic, complemented
855#3271C2×C2911yescharacteristic, complemented
856#3268C2×C2911yescharacteristic, complemented
857#3265C2×C2911yescharacteristic, complemented
858#3265C2×C2911yescharacteristic, complemented
859#3259C2×C2911yescharacteristic, complemented
860#3257C2×C2911yescharacteristic, complemented
861#3256C2×C2911yescharacteristic, complemented
862#3224C2×C2911yescharacteristic, complemented
863#3220C2×C2911yescharacteristic, complemented
864#3217C2×C2911yescharacteristic, complemented
865#3126C2×C2911yescharacteristic, complemented
866#3119C2×C2911yescharacteristic, complemented
867#3111C2×C2911yescharacteristic, complemented
868#3045C2×C2911yescharacteristic, complemented
869#3043C2×C2911yescharacteristic, complemented
870#3038C2×C2911yescharacteristic, complemented
871#2995C2×C2911yescharacteristic, complemented
872C22×C29—21no—
873C22×C29—21no—
874C22×C29—21no—
875C22×C29—21no—
876C22×C29—21no—
877C22×C29—21no—
878C22×C29—21no—
879C22×C29—21no—
880C22×C29—21no—
881C22×C29—41no—
882C22×C29—41no—
883C22×C29—41no—
884C22×C29—41no—
885C22×C29—41no—
886C22×C29—41no—
887C22×C29—41no—
888C22×C29—41no—
889C22×C29—41no—
890C22×C29—41no—
891C22×C29—41no—
892C22×C29—41no—
893C22×C29—41no—
894C22×C29—41no—
895C22×C29—41no—
896C22×C29—41no—
897C22×C29—41no—
898C22×C29—41no—
899C22×C29—41no—
900C22×C29—41no—
901C22×C29—41no—
902C22×C29—162no—
903C22×C29—162no—
904C22×C29—162no—
905C22×C29—162no—
906C22×C29C23×D411yescharacteristic
907C4×C29—21no—
908C4×C29—21no—
909C4×C29—21no—
910C4×C29—21no—
911C4×C29—21no—
912C4×C29—21no—
913C4×C29—21no—
914C4×C29—21no—
915C4×C29—21no—
916C4×C29—21no—
917C4×C29—21no—
918C4×C29—22no—
919C4×C29—41no—
920C4×C29—41no—
921C4×C29—41no—
922C4×C29—41no—
923C4×C29—41no—
924C4×C29—41no—
925C4×C29—41no—
926C4×C29—41no—
927C4×C29C2×H(5,𝔽2)11yescharacteristic
928C4×C29#58511yescharacteristic
929C2×#137C22×C2911yescharacteristic, complemented
930C2×AGL(1,ℤ/8)C22×C2911yescharacteristic, complemented
931C2×AGL(1,ℤ/8)C22×C2911yescharacteristic, complemented
932C2×AGL(1,ℤ/8)C22×C2911yescharacteristic, complemented
933C2×#135C22×C2911yescharacteristic, complemented
934C22×SD16C22×C2911yescharacteristic, complemented
935#560—21no—
936#560—21no—
937#559—21no—
938#559C22×C2911yescharacteristic
939#559C22×C2911yescharacteristic, complemented
940#557C22×C2911yescharacteristic, complemented
941#555—21no—
942#555C22×C2911yescharacteristic, complemented
943#553—21no—
944#553C22×C2911yescharacteristic, complemented
945#552—21no—
946#552C22×C2911yescharacteristic, complemented
947#550C22×C2911yescharacteristic
948#550C22×C2911yescharacteristic
949#550C22×C2911yescharacteristic, complemented
950#548C22×C2911yescharacteristic, complemented
951#548C22×C2911yescharacteristic, complemented
952#546—21no—
953#546C22×C2911yescharacteristic
954#546C22×C2911yescharacteristic
955D42—21no—
956D42C22×C2911yescharacteristic
957D42C22×C2911yescharacteristic
958D42C22×C2911yescharacteristic
959#542—21no—
960#542C22×C2911yescharacteristic, complemented
961#540—21no—
962#540—21no—
963#540C22×C2911yescharacteristic
964#540C22×C2911yescharacteristic
965#540C22×C2911yescharacteristic, complemented
966#535—21no—
967#535C22×C2911yescharacteristic
968#535C22×C2911yescharacteristic
969#534—21no—
970#534—21no—
971C2×#127C22×C2911yescharacteristic
972#529—21no—
973#529—21no—
974#529C22×C2911yescharacteristic
975#529C22×C2911yescharacteristic
976#529C22×C2911yescharacteristic, complemented
977#520C22×C2911yescharacteristic, complemented
978#519C22×C2911yescharacteristic, complemented
979C4×#41C22×C2911yescharacteristic, complemented
980#496C22×C2911yescharacteristic
981#496C22×C2911yescharacteristic, complemented
982#496C22×C2911yescharacteristic, complemented
983#496C22×C2911yescharacteristic, complemented
984#495C22×C2911yescharacteristic, complemented
985#493C22×C2911yescharacteristic, complemented
986#490C22×C2911yescharacteristic
987#490C22×C2911yescharacteristic, complemented
988#490C22×C2911yescharacteristic, complemented
989#489C22×C2911yescharacteristic, complemented
990#488C22×C2911yescharacteristic, complemented
991#486C22×C2911yescharacteristic, complemented
992#485C22×C2911yescharacteristic, complemented
993#482C22×C2911yescharacteristic
994#482C22×C2911yescharacteristic, complemented
995#482C22×C2911yescharacteristic, complemented
996#481C22×C2911yescharacteristic, complemented
997#480C22×C2911yescharacteristic, complemented
998#479C22×C2911yescharacteristic, complemented
999#479C22×C2911yescharacteristic, complemented
1000#479C22×C2911yescharacteristic, complemented
1001#478C22×C2911yescharacteristic, complemented
1002#478C22×C2911yescharacteristic, complemented
1003#478C22×C2911yescharacteristic, complemented
1004#478C22×C2911yescharacteristic, complemented
1005#478C22×C2911yescharacteristic, complemented
1006#476C22×C2911yescharacteristic, complemented
1007#474C22×C2911yescharacteristic, complemented
1008#470C22×C2911yescharacteristic, complemented
1009#469C22×C2911yescharacteristic
1010#469C22×C2911yescharacteristic, complemented
1011#469C22×C2911yescharacteristic, complemented
1012#469C22×C2911yescharacteristic, complemented
1013#468C22×C2911yescharacteristic
1014#468C22×C2911yescharacteristic, complemented
1015#468C22×C2911yescharacteristic, complemented
1016#466C22×C2911yescharacteristic, complemented
1017#466C22×C2911yescharacteristic, complemented
1018#466C22×C2911yescharacteristic, complemented
1019#465C22×C2911yescharacteristic, complemented
1020#464C22×C2911yescharacteristic, complemented
1021#464C22×C2911yescharacteristic, complemented
1022#464C22×C2911yescharacteristic, complemented
1023#464C22×C2911yescharacteristic, complemented
1024#464C22×C2911yescharacteristic, complemented
1025#464C22×C2911yescharacteristic, complemented
1026#463C22×C2911yescharacteristic, complemented
1027#463C22×C2911yescharacteristic, complemented
1028#463C22×C2911yescharacteristic, complemented
1029#463C22×C2911yescharacteristic, complemented
1030#463C22×C2911yescharacteristic, complemented
1031#463C22×C2911yescharacteristic, complemented
1032#460C22×C2911yescharacteristic
1033#460C22×C2911yescharacteristic, complemented
1034#460C22×C2911yescharacteristic, complemented
1035#460C22×C2911yescharacteristic, complemented
1036#460C22×C2911yescharacteristic, complemented
1037#460C22×C2911yescharacteristic, complemented
1038#460C22×C2911yescharacteristic, complemented
1039#460C22×C2911yescharacteristic, complemented
1040#460C22×C2911yescharacteristic, complemented
1041#459C22×C2911yescharacteristic
1042#459C22×C2911yescharacteristic, complemented
1043#459C22×C2911yescharacteristic, complemented
1044#459C22×C2911yescharacteristic, complemented
1045#459C22×C2911yescharacteristic, complemented
1046#459C22×C2911yescharacteristic, complemented
1047#459C22×C2911yescharacteristic, complemented
1048#459C22×C2911yescharacteristic, complemented
1049#459C22×C2911yescharacteristic, complemented
1050#452C22×C2911yescharacteristic, complemented
1051#452C22×C2911yescharacteristic, complemented
1052#450C22×C2911yescharacteristic, complemented
1053#450C22×C2911yescharacteristic, complemented
1054#450C22×C2911yescharacteristic, complemented
1055#449C22×C2911yescharacteristic
1056#449C22×C2911yescharacteristic, complemented
1057#449C22×C2911yescharacteristic, complemented
1058#449C22×C2911yescharacteristic, complemented
1059#449C22×C2911yescharacteristic, complemented
1060#449C22×C2911yescharacteristic, complemented
1061#448C22×C2911yescharacteristic, complemented
1062#448C22×C2911yescharacteristic, complemented
1063#447C22×C2911yescharacteristic, complemented
1064#447C22×C2911yescharacteristic, complemented
1065#447C22×C2911yescharacteristic, complemented
1066#447C22×C2911yescharacteristic, complemented
1067#447C22×C2911yescharacteristic, complemented
1068#446C22×C2911yescharacteristic, complemented
1069#446C22×C2911yescharacteristic, complemented
1070#442C22×C2911yescharacteristic, complemented
1071#442C22×C2911yescharacteristic, complemented
1072#441C22×C2911yescharacteristic, complemented
1073#440C22×C2911yescharacteristic, complemented
1074#440C22×C2911yescharacteristic, complemented
1075#440C22×C2911yescharacteristic, complemented
1076#440C22×C2911yescharacteristic, complemented
1077#440C22×C2911yescharacteristic, complemented
1078C4×SD16C22×C2911yescharacteristic, complemented
1079C4×SD16C22×C2911yescharacteristic, complemented
1080C4×SD16C22×C2911yescharacteristic, complemented
1081C4×D8C22×C2911yescharacteristic, complemented
1082#436C22×C2911yescharacteristic, complemented
1083#436C22×C2911yescharacteristic, complemented
1084#435C22×C2911yescharacteristic, complemented
1085#435C22×C2911yescharacteristic, complemented
1086#435C22×C2911yescharacteristic, complemented
1087#435C22×C2911yescharacteristic, complemented
1088#433C22×C2911yescharacteristic, complemented
1089#433C22×C2911yescharacteristic, complemented
1090#432C22×C2911yescharacteristic, complemented
1091#424C22×C2911yescharacteristic, complemented
1092#424C22×C2911yescharacteristic, complemented
1093#423C22×C2911yescharacteristic, complemented
1094#418C22×C2911yescharacteristic, complemented
1095#418C22×C2911yescharacteristic, complemented
1096#418C22×C2911yescharacteristic, complemented
1097#417C22×C2911yescharacteristic, complemented
1098#416C22×C2911yescharacteristic, complemented
1099C2×#102C22×C2911yescharacteristic, complemented
1100C2×C29—41no—
1101C2×C29—41no—
1102C2×C29—41no—
1103C2×C29—81no—
1104C2×C29—81no—
1105C2×C29—81no—
1106C2×C29—81no—
1107C2×C29—81no—
1108C2×C29—81no—
1109C2×C29—81no—
1110C2×C29#348811yescharacteristic
1111C2×C29#358511yescharacteristic
1112C2×C29#358511yescharacteristic
1113C2×#41—21no—
1114C2×#41C23×C2911yescharacteristic
1115C2×#41C23×C2911yescharacteristic
1116C2×#41C23×C2911yescharacteristic
1117C2×#41C23×C2911yescharacteristic
1118C22×Q8C23×C2911yescharacteristic
1119C22×D4—21no—
1120C22×D4—21no—
1121C22×D4—21no—
1122C22×D4—21no—
1123C22×D4—21no—
1124C22×D4C23×C2911yescharacteristic
1125C22×D4C23×C2911yescharacteristic
1126C22×D4C23×C2911yescharacteristic
1127C22×D4C23×C2911yescharacteristic
1128#137—42no—
1129AGL(1,ℤ/8)—42no—
1130AGL(1,ℤ/8)—42no—
1131AGL(1,ℤ/8)—42no—
1132#135—42no—
1133C2×Q16C23×C2911yescharacteristic
1134C2×Q16C23×C2911yescharacteristic
1135C2×SD16—42no—
1136C2×SD16C23×C2911yescharacteristic
1137C2×SD16C23×C2911yescharacteristic
1138C2×SD16C23×C2911yescharacteristic
1139C2×SD16C23×C2911yescharacteristic
1140C2×SD16C23×C2911yescharacteristic
1141C2×SD16C23×C2911yescharacteristic
1142C2×SD16C23×C2911yescharacteristic
1143C2×SD16C23×C2911yescharacteristic
1144C2×SD16C23×C2911yescharacteristic
1145C2×SD16C23×C2911yescharacteristic
1146C2×SD16C23×C2911yescharacteristic
1147C2×SD16C23×C2911yescharacteristic
1148C2×D8C23×C2911yescharacteristic
1149C2×D8C23×C2911yescharacteristic
1150C2×D8C23×C2911yescharacteristic
1151C2×D8C23×C2911yescharacteristic
1152C2×D8C23×C2911yescharacteristic
1153C2×D8C23×C2911yescharacteristic
1154C2×D8C23×C2911yescharacteristic
1155C2×D8C23×C2911yescharacteristic
1156C2×D8C23×C2911yescharacteristic
1157C2×D8C23×C2911yescharacteristic
1158C2×M16C23×C2911yescharacteristic
1159C2×M16C23×C2911yescharacteristic
1160C2×M16C23×C2911yescharacteristic
1161C2×M16C23×C2911yescharacteristic
1162C22×C8C23×C2911yescharacteristic
1163C22×C8C23×C2911yescharacteristic
1164C4⋊Q8—21no—
1165C4⋊Q8C23×C2911yescharacteristic
1166#127—21no—
1167#127—21no—
1168#127—21no—
1169#127—21no—
1170#127C23×C2911yescharacteristic
1171#127C23×C2911yescharacteristic
1172#127C23×C2911yescharacteristic
1173#127C23×C2911yescharacteristic
1174#127C23×C2911yescharacteristic
1175#127C23×C2911yescharacteristic
1176#127C23×C2911yescharacteristic
1177#126—21no—
1178#126—21no—
1179#126—21no—
1180#126—21no—
1181#126—21no—
1182#126D4×C2911yescharacteristic
1183#126D4×C2911yescharacteristic
1184#125—21no—
1185#125—21no—
1186#125—21no—
1187#125D4×C2911yescharacteristic
1188#125C23×C2911yescharacteristic
1189#125C23×C2911yescharacteristic
1190#125C23×C2911yescharacteristic
1191#124—21no—
1192#124—21no—
1193#124—21no—
1194#124—21no—
1195#124—21no—
1196#124—21no—
1197#124—21no—
1198#124D4×C2911yescharacteristic
1199#124C23×C2911yescharacteristic
1200#124C23×C2911yescharacteristic
1201#124C23×C2911yescharacteristic
1202#124C23×C2911yescharacteristic
1203#124C23×C2911yescharacteristic
1204#123—21no—
1205#123—21no—
1206#123—21no—
1207#123—21no—
1208#123—21no—
1209#123—21no—
1210#123—21no—
1211#123—21no—
1212#123—21no—
1213#123—21no—
1214#123—21no—
1215#123—21no—
1216#123—21no—
1217#123—21no—
1218#123—21no—
1219#123—21no—
1220#123—21no—
1221#123D4×C2911yescharacteristic
1222#123D4×C2911yescharacteristic
1223C22⋊Q8—21no—
1224C22⋊Q8—21no—
1225C22⋊Q8—21no—
1226C22⋊Q8D4×C2911yescharacteristic
1227C22⋊Q8C23×C2911yescharacteristic
1228C22⋊Q8C23×C2911yescharacteristic
1229C22⋊Q8C23×C2911yescharacteristic
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—21no—
1241#121—21no—
1242#121—21no—
1243#121—21no—
1244#121—21no—
1245#121—21no—
1246#121—21no—
1247#121—21no—
1248#121—21no—
1249#121—21no—
1250#121—21no—
1251#121—21no—
1252#121—21no—
1253#121—21no—
1254#121—21no—
1255#121—21no—
1256#121D4×C2911yescharacteristic
1257#121C23×C2911yescharacteristic
1258#121C23×C2911yescharacteristic
1259#121C23×C2911yescharacteristic
1260#121C23×C2911yescharacteristic
1261#121C23×C2911yescharacteristic
1262#121C23×C2911yescharacteristic
1263#121C23×C2911yescharacteristic
1264#121C23×C2911yescharacteristic
1265#121C23×C2911yescharacteristic
1266#120—21no—
1267#120—21no—
1268#120—21no—
1269#120—21no—
1270#120—21no—
1271#120—21no—
1272#120—21no—
1273#120—21no—
1274#120—21no—
1275#120—21no—
1276#120—21no—
1277#120—21no—
1278C4×Q8—21no—
1279C4×Q8—21no—
1280C4×Q8—21no—
1281C4×Q8C23×C2911yescharacteristic
1282C4×Q8C23×C2911yescharacteristic
1283C4×Q8C23×C2911yescharacteristic
1284C4×Q8C23×C2911yescharacteristic
1285C4×Q8C23×C2911yescharacteristic
1286C4×Q8C23×C2911yescharacteristic
1287C4×Q8C23×C2911yescharacteristic
1288C4×Q8C23×C2911yescharacteristic
1289C4×D4—21no—
1290C4×D4—21no—
1291C4×D4—21no—
1292C4×D4—21no—
1293C4×D4—21no—
1294C4×D4—21no—
1295C4×D4—21no—
1296C4×D4—21no—
1297C4×D4—21no—
1298C4×D4—21no—
1299C4×D4—21no—
1300C4×D4—21no—
1301C4×D4—21no—
1302C4×D4C23×C2911yescharacteristic
1303C4×D4C23×C2911yescharacteristic
1304C4×D4C23×C2911yescharacteristic
1305C4×D4C23×C2911yescharacteristic
1306C4×D4C23×C2911yescharacteristic
1307C4×D4C23×C2911yescharacteristic
1308C4×D4C23×C2911yescharacteristic
1309C4×D4C23×C2911yescharacteristic
1310C4×D4C23×C2911yescharacteristic
1311C4×D4C23×C2911yescharacteristic
1312C4×D4C23×C2911yescharacteristic
1313C4×D4C23×C2911yescharacteristic
1314#117—21no—
1315#117—21no—
1316#117—21no—
1317#117—21no—
1318#117—21no—
1319#117—21no—
1320#117—21no—
1321#117—21no—
1322#117C23×C2911yescharacteristic
1323#117C23×C2911yescharacteristic
1324#117C23×C2911yescharacteristic
1325#117C23×C2911yescharacteristic
1326C2×C4⋊C4—21no—
1327C2×C4⋊C4C23×C2911yescharacteristic
1328C2×C22⋊C4—21no—
1329C2×C22⋊C4—21no—
1330C2×C42—21no—
1331C2×C42C23×C2911yescharacteristic
1332#107C23×C2911yescharacteristic
1333#107C23×C2911yescharacteristic
1334#107C23×C2911yescharacteristic
1335#107C23×C2911yescharacteristic
1336#106C23×C2911yescharacteristic
1337#106C23×C2911yescharacteristic
1338#106C23×C2911yescharacteristic
1339#106C23×C2911yescharacteristic
1340C4⋊C8C23×C2911yescharacteristic
1341C4⋊C8C23×C2911yescharacteristic
1342C4⋊C8C23×C2911yescharacteristic
1343C4⋊C8C23×C2911yescharacteristic
1344C4⋊C8C23×C2911yescharacteristic
1345C4⋊C8C23×C2911yescharacteristic
1346C4⋊C8C23×C2911yescharacteristic
1347C4⋊C8C23×C2911yescharacteristic
1348C4⋊C8C23×C2911yescharacteristic
1349C4⋊C8C23×C2911yescharacteristic
1350#103C23×C2911yescharacteristic
1351#103C23×C2911yescharacteristic
1352#103C23×C2911yescharacteristic
1353#103C23×C2911yescharacteristic
1354#103C23×C2911yescharacteristic
1355#103C23×C2911yescharacteristic
1356#103C23×C2911yescharacteristic
1357#103C23×C2911yescharacteristic
1358#102C23×C2911yescharacteristic
1359#102C23×C2911yescharacteristic
1360#102C23×C2911yescharacteristic
1361#102C23×C2911yescharacteristic
1362#102C23×C2911yescharacteristic
1363#102C23×C2911yescharacteristic
1364#102C23×C2911yescharacteristic
1365#102C23×C2911yescharacteristic
1366#102C23×C2911yescharacteristic
1367#102C23×C2911yescharacteristic
1368#102C23×C2911yescharacteristic
1369#102C23×C2911yescharacteristic
1370#102C23×C2911yescharacteristic
1371#102C23×C2911yescharacteristic
1372#102C23×C2911yescharacteristic
1373#102C23×C2911yescharacteristic
1374#102C23×C2911yescharacteristic
1375#102C23×C2911yescharacteristic
1376#102C23×C2911yescharacteristic
1377#102C23×C2911yescharacteristic
1378#102C23×C2911yescharacteristic
1379#102C23×C2911yescharacteristic
1380#102C23×C2911yescharacteristic
1381#102C23×C2911yescharacteristic
1382C22⋊C8C23×C2911yescharacteristic
1383C22⋊C8C23×C2911yescharacteristic
1384C22⋊C8C23×C2911yescharacteristic
1385C22⋊C8C23×C2911yescharacteristic
1386C22⋊C8C23×C2911yescharacteristic
1387C22⋊C8C23×C2911yescharacteristic
1388#97C23×C2911yescharacteristic
1389#97C23×C2911yescharacteristic
1390#97C23×C2911yescharacteristic
1391#97C23×C2911yescharacteristic
1392C4×C8C23×C2911yescharacteristic
1393C4×C8C23×C2911yescharacteristic
1394C29#6208111yescharacteristic, direct product factor, Sylow
1395C24—21no—
1396C24—21no—
1397C24—21no—
1398C24—21no—
1399#41—22no—
1400#41—22no—
1401#41—41no—
1402#41—41no—
1403#41—41no—
1404#41—41no—
1405#41—41no—
1406#41—41no—
1407#41—82no—
1408C2×Q8—21no—
1409C2×Q8—21no—
1410C2×Q8—22no—
1411C2×Q8—41no—
1412C2×Q8C2×D4×C2911yescharacteristic
1413C2×Q8C24×C2911yescharacteristic
1414C2×Q8C24×C2911yescharacteristic
1415C2×Q8C24×C2911yescharacteristic
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—21no—
1442C2×D4—21no—
1443C2×D4—21no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—41no—
1448C2×D4—41no—
1449C2×D4—41no—
1450C2×D4—41no—
1451C2×D4—41no—
1452C2×D4—41no—
1453C2×D4—41no—
1454C2×D4—41no—
1455C2×D4—82no—
1456C2×D4—82no—
1457C2×D4—82no—
1458C2×D4—82no—
1459C2×D4—82no—
1460C2×D4C2×D4×C2911yescharacteristic
1461C2×D4C2×D4×C2911yescharacteristic
1462C2×D4C2×D4×C2911yescharacteristic
1463C2×D4C24×C2911yescharacteristic
1464C2×D4C24×C2911yescharacteristic
1465C2×D4C24×C2911yescharacteristic
1466C2×D4C24×C2911yescharacteristic
1467C2×D4C24×C2911yescharacteristic
1468C2×D4C24×C2911yescharacteristic
1469C2×D4C24×C2911yescharacteristic
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—21no—
1475C22×C4—21no—
1476C22×C4—21no—
1477C22×C4—21no—
1478C22×C4—21no—
1479C22×C4—21no—
1480C22×C4—21no—
1481C22×C4—21no—
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4C2×D4×C2911yescharacteristic
1486C22×C4C2×D4×C2911yescharacteristic
1487C22×C4C24×C2911yescharacteristic
1488C22×C4C24×C2911yescharacteristic
1489C22×C4C24×C2911yescharacteristic
1490Q16—22no—
1491Q16—41no—
1492SD16—22no—
1493SD16—22no—
1494SD16—22no—
1495SD16—22no—
1496SD16—22no—
1497SD16—41no—
1498SD16—41no—
1499SD16—41no—
1500SD16—41no—
1501SD16—41no—
1502SD16—41no—
1503SD16—41no—
1504D8—41no—
1505D8—41no—
1506D8—41no—
1507D8—41no—
1508D8—41no—
1509D8—41no—
1510D8—41no—
1511D8—41no—
1512D8—41no—
1513D8—41no—
1514M16—41no—
1515M16—41no—
1516M16—41no—
1517M16—41no—
1518C2×C8—41no—
1519C2×C8—41no—
1520C2×C8C24×C2911yescharacteristic
1521C2×C8C24×C2911yescharacteristic
1522C2×C8C24×C2911yescharacteristic
1523C2×C8C24×C2911yescharacteristic
1524C2×C8C24×C2911yescharacteristic
1525C2×C8C24×C2911yescharacteristic
1526C2×C8C24×C2911yescharacteristic
1527C2×C8C24×C2911yescharacteristic
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—21no—
1533C4⋊C4—21no—
1534C4⋊C4—21no—
1535C4⋊C4—21no—
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—21no—
1543C4⋊C4—21no—
1544C4⋊C4—21no—
1545C4⋊C4—21no—
1546C4⋊C4C2×D4×C2911yescharacteristic
1547C4⋊C4C2×D4×C2911yescharacteristic
1548C4⋊C4C2×D4×C2911yescharacteristic
1549C4⋊C4C2×D4×C2911yescharacteristic
1550C4⋊C4C2×D4×C2911yescharacteristic
1551C4⋊C4C2×D4×C2911yescharacteristic
1552C4⋊C4C2×D4×C2911yescharacteristic
1553C4⋊C4C2×D4×C2911yescharacteristic
1554C4⋊C4C2×D4×C2911yescharacteristic
1555C4⋊C4C2×D4×C2911yescharacteristic
1556C4⋊C4C24×C2911yescharacteristic
1557C4⋊C4C24×C2911yescharacteristic
1558C4⋊C4C24×C2911yescharacteristic
1559C4⋊C4C24×C2911yescharacteristic
1560C4⋊C4C24×C2911yescharacteristic
1561C4⋊C4C24×C2911yescharacteristic
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—21no—
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4C2×D4×C2911yescharacteristic
1596C22⋊C4C2×D4×C2911yescharacteristic
1597C22⋊C4C2×D4×C2911yescharacteristic
1598C22⋊C4C2×D4×C2911yescharacteristic
1599C22⋊C4C2×D4×C2911yescharacteristic
1600C22⋊C4C2×D4×C2911yescharacteristic
1601C22⋊C4C2×D4×C2911yescharacteristic
1602C22⋊C4C2×D4×C2911yescharacteristic
1603C22⋊C4C2×D4×C2911yescharacteristic
1604C22⋊C4C2×D4×C2911yescharacteristic
1605C42—21no—
1606C42—21no—
1607C42—21no—
1608C42—21no—
1609C42—21no—
1610C42—21no—
1611C42—21no—
1612C42—21no—
1613C42—21no—
1614C42C2×D4×C2911yescharacteristic
1615C42C2×D4×C2911yescharacteristic
1616C42C24×C2911yescharacteristic
1617C42C24×C2911yescharacteristic
1618C42C24×C2911yescharacteristic
1619C42C24×C2911yescharacteristic
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—42no—
1628C23—42no—
1629C23—81no—
1630C23—81no—
1631C23—81no—
1632C23—81no—
1633C23—81no—
1634C23—81no—
1635C23—81no—
1636C23—81no—
1637C23—81no—
1638C23—81no—
1639C23C22×D4×C2911yescharacteristic
1640C23C22×D4×C2911yescharacteristic
1641C23C22×D4×C2911yescharacteristic
1642Q8—21no—
1643Q8—21no—
1644Q8—21no—
1645Q8—21no—
1646Q8—21no—
1647Q8—41no—
1648Q8—42no—
1649Q8—81no—
1650Q8C29×H(5,𝔽2)12yes—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—21no—
1662D4—21no—
1663D4—21no—
1664D4—21no—
1665D4—41no—
1666D4—41no—
1667D4—41no—
1668D4—42no—
1669D4—42no—
1670D4—42no—
1671D4—42no—
1672D4—42no—
1673D4—81no—
1674D4—81no—
1675D4—81no—
1676D4—81no—
1677D4—81no—
1678D4—81no—
1679D4—81no—
1680D4—81no—
1681D4—81no—
1682D4—81no—
1683D4—81no—
1684D4—81no—
1685D4—81no—
1686D4—81no—
1687D4—81no—
1688D4—81no—
1689D4—81no—
1690D4—81no—
1691D4—81no—
1692D4—81no—
1693D4—81no—
1694D4—81no—
1695D4—81no—
1696D4—81no—
1697D4—81no—
1698D4—81no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—42no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—42no—
1720C2×C4—81no—
1721C2×C4—81no—
1722C2×C4—81no—
1723C2×C4—81no—
1724C2×C4—81no—
1725C2×C4—81no—
1726C2×C4—81no—
1727C2×C4—81no—
1728C2×C4—81no—
1729C2×C4—81no—
1730C2×C4—81no—
1731C2×C4C22×D4×C2911yescharacteristic
1732C2×C4C22×D4×C2911yescharacteristic
1733C2×C4C22×D4×C2911yescharacteristic
1734C2×C4C22×D4×C2911yescharacteristic
1735C2×C4C22×D4×C2911yescharacteristic
1736C2×C4C22×D4×C2911yescharacteristic
1737C2×C4C22×D4×C2911yescharacteristic
1738C2×C4C22×D4×C2911yescharacteristic
1739C2×C4C22×D4×C2911yescharacteristic
1740C2×C4C22×D4×C2911yescharacteristic
1741C2×C4C22×D4×C2911yescharacteristic
1742C2×C4C25×C2911yescharacteristic
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—21no—
1748C8—21no—
1749C8—21no—
1750C8—21no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—21no—
1758C22—21no—
1759C22—21no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—162no—
1782C22—162no—
1783C22—162no—
1784C22—162no—
1785C22C23×D4×C2911yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—21no—
1789C4—22no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—21no—
1795C4—21no—
1796C4—21no—
1797C4—21no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4C2×C29×H(5,𝔽2)11yescharacteristic
1807C4C29×#58511yescharacteristic
1808C2—41no—
1809C2—41no—
1810C2—41no—
1811C2—81no—
1812C2—81no—
1813C2—81no—
1814C2—81no—
1815C2—81no—
1816C2—81no—
1817C2—81no—
1818C2C29×#348811yescharacteristic
1819C2C29×#358511yescharacteristic
1820C2C29×#358511yescharacteristic
subgroupG/H
center, socleC22×C29C23×D4
commutator, Frattini, cosocleC2×C4C25×C29
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C29 ◁ C29×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#3543C2semidirect
2. C29×#3524C2semidirect
3. C29×#3403C2semidirect
4. C29×#3399C2semidirect
5. C29×#3371C2semidirect
6. C29×#3368C2semidirect
7. C29×#3325C2semidirect
8. C29×#3323C2semidirect
9. C29×#3319C2semidirect
10. C29×#3318C2semidirect
11. C29×#3310C2semidirect
12. C29×#3309C2semidirect
13. C29×#3275C2semidirect
14. C29×#3274C2semidirect
15. C29×#3271C2semidirect
16. C29×#3268C2semidirect
17. C29×#3265C2semidirect
18. C29×#3265C2semidirect
19. C29×#3259C2semidirect
20. C29×#3257C2semidirect
21. C29×#3256C2semidirect
22. C29×#3224C2semidirect
23. C29×#3220C2semidirect
24. C29×#3217C2semidirect
25. C29×#3126C2semidirect
26. C29×#3119C2semidirect
27. C29×#3111C2semidirect
28. C29×#3045C2semidirect
29. C29×#3043C2semidirect
30. C29×#3038C2semidirect
31. C29×#2995C2semidirect
32. C2×C29×#137C22semidirect
33. C2×C29×AGL(1,ℤ/8)C22semidirect
34. C2×C29×AGL(1,ℤ/8)C22semidirect
35. C2×C29×AGL(1,ℤ/8)C22semidirect
36. C2×C29×#135C22semidirect
37. C22×SD16×C29C22semidirect
42. C29×#559C22semidirect
43. C29×#557C22semidirect
45. C29×#555C22semidirect
47. C29×#553C22semidirect
49. C29×#552C22semidirect
52. C29×#550C22semidirect
53. C29×#548C22semidirect
54. C29×#548C22semidirect
63. C29×#542C22semidirect
68. C29×#540C22semidirect
79. C29×#529C22semidirect
80. C29×#520C22semidirect
81. C29×#519C22semidirect
82. C4×#41×C29C22semidirect
84. C29×#496C22semidirect
85. C29×#496C22semidirect
86. C29×#496C22semidirect
87. C29×#495C22semidirect
88. C29×#493C22semidirect
90. C29×#490C22semidirect
91. C29×#490C22semidirect
92. C29×#489C22semidirect
93. C29×#488C22semidirect
94. C29×#486C22semidirect
95. C29×#485C22semidirect
97. C29×#482C22semidirect
98. C29×#482C22semidirect
99. C29×#481C22semidirect
100. C29×#480C22semidirect
101. C29×#479C22semidirect
102. C29×#479C22semidirect
103. C29×#479C22semidirect
104. C29×#478C22semidirect
105. C29×#478C22semidirect
106. C29×#478C22semidirect
107. C29×#478C22semidirect
108. C29×#478C22semidirect
109. C29×#476C22semidirect
110. C29×#474C22semidirect
111. C29×#470C22semidirect
113. C29×#469C22semidirect
114. C29×#469C22semidirect
115. C29×#469C22semidirect
117. C29×#468C22semidirect
118. C29×#468C22semidirect
119. C29×#466C22semidirect
120. C29×#466C22semidirect
121. C29×#466C22semidirect
122. C29×#465C22semidirect
123. C29×#464C22semidirect
124. C29×#464C22semidirect
125. C29×#464C22semidirect
126. C29×#464C22semidirect
127. C29×#464C22semidirect
128. C29×#464C22semidirect
129. C29×#463C22semidirect
130. C29×#463C22semidirect
131. C29×#463C22semidirect
132. C29×#463C22semidirect
133. C29×#463C22semidirect
134. C29×#463C22semidirect
136. C29×#460C22semidirect
137. C29×#460C22semidirect
138. C29×#460C22semidirect
139. C29×#460C22semidirect
140. C29×#460C22semidirect
141. C29×#460C22semidirect
142. C29×#460C22semidirect
143. C29×#460C22semidirect
145. C29×#459C22semidirect
146. C29×#459C22semidirect
147. C29×#459C22semidirect
148. C29×#459C22semidirect
149. C29×#459C22semidirect
150. C29×#459C22semidirect
151. C29×#459C22semidirect
152. C29×#459C22semidirect
153. C29×#452C22semidirect
154. C29×#452C22semidirect
155. C29×#450C22semidirect
156. C29×#450C22semidirect
157. C29×#450C22semidirect
159. C29×#449C22semidirect
160. C29×#449C22semidirect
161. C29×#449C22semidirect
162. C29×#449C22semidirect
163. C29×#449C22semidirect
164. C29×#448C22semidirect
165. C29×#448C22semidirect
166. C29×#447C22semidirect
167. C29×#447C22semidirect
168. C29×#447C22semidirect
169. C29×#447C22semidirect
170. C29×#447C22semidirect
171. C29×#446C22semidirect
172. C29×#446C22semidirect
173. C29×#442C22semidirect
174. C29×#442C22semidirect
175. C29×#441C22semidirect
176. C29×#440C22semidirect
177. C29×#440C22semidirect
178. C29×#440C22semidirect
179. C29×#440C22semidirect
180. C29×#440C22semidirect
181. C4×SD16×C29C22semidirect
182. C4×SD16×C29C22semidirect
183. C4×SD16×C29C22semidirect
184. C4×D8×C29C22semidirect
185. C29×#436C22semidirect
186. C29×#436C22semidirect
187. C29×#435C22semidirect
188. C29×#435C22semidirect
189. C29×#435C22semidirect
190. C29×#435C22semidirect
191. C29×#433C22semidirect
192. C29×#433C22semidirect
193. C29×#432C22semidirect
194. C29×#424C22semidirect
195. C29×#424C22semidirect
196. C29×#423C22semidirect
197. C29×#418C22semidirect
198. C29×#418C22semidirect
199. C29×#418C22semidirect
200. C29×#417C22semidirect
201. C29×#416C22semidirect
202. C2×C29×#102C22semidirect
709. #62081C29direct (N × H)
841. #3543C2×C29semidirect
842. #3524C2×C29semidirect
843. #3403C2×C29semidirect
844. #3399C2×C29semidirect
845. #3371C2×C29semidirect
846. #3368C2×C29semidirect
847. #3325C2×C29semidirect
848. #3323C2×C29semidirect
849. #3319C2×C29semidirect
850. #3318C2×C29semidirect
851. #3310C2×C29semidirect
852. #3309C2×C29semidirect
853. #3275C2×C29semidirect
854. #3274C2×C29semidirect
855. #3271C2×C29semidirect
856. #3268C2×C29semidirect
857. #3265C2×C29semidirect
858. #3265C2×C29semidirect
859. #3259C2×C29semidirect
860. #3257C2×C29semidirect
861. #3256C2×C29semidirect
862. #3224C2×C29semidirect
863. #3220C2×C29semidirect
864. #3217C2×C29semidirect
865. #3126C2×C29semidirect
866. #3119C2×C29semidirect
867. #3111C2×C29semidirect
868. #3045C2×C29semidirect
869. #3043C2×C29semidirect
870. #3038C2×C29semidirect
871. #2995C2×C29semidirect
929. C2×#137C22×C29semidirect
930. C2×AGL(1,ℤ/8)C22×C29semidirect
931. C2×AGL(1,ℤ/8)C22×C29semidirect
932. C2×AGL(1,ℤ/8)C22×C29semidirect
933. C2×#135C22×C29semidirect
934. C22×SD16C22×C29semidirect
939. #559C22×C29semidirect
940. #557C22×C29semidirect
942. #555C22×C29semidirect
944. #553C22×C29semidirect
946. #552C22×C29semidirect
949. #550C22×C29semidirect
950. #548C22×C29semidirect
951. #548C22×C29semidirect
960. #542C22×C29semidirect
965. #540C22×C29semidirect
976. #529C22×C29semidirect
977. #520C22×C29semidirect
978. #519C22×C29semidirect
979. C4×#41C22×C29semidirect
981. #496C22×C29semidirect
982. #496C22×C29semidirect
983. #496C22×C29semidirect
984. #495C22×C29semidirect
985. #493C22×C29semidirect
987. #490C22×C29semidirect
988. #490C22×C29semidirect
989. #489C22×C29semidirect
990. #488C22×C29semidirect
991. #486C22×C29semidirect
992. #485C22×C29semidirect
994. #482C22×C29semidirect
995. #482C22×C29semidirect
996. #481C22×C29semidirect
997. #480C22×C29semidirect
998. #479C22×C29semidirect
999. #479C22×C29semidirect
1000. #479C22×C29semidirect
1001. #478C22×C29semidirect
1002. #478C22×C29semidirect
1003. #478C22×C29semidirect
1004. #478C22×C29semidirect
1005. #478C22×C29semidirect
1006. #476C22×C29semidirect
1007. #474C22×C29semidirect
1008. #470C22×C29semidirect
1010. #469C22×C29semidirect
1011. #469C22×C29semidirect
1012. #469C22×C29semidirect
1014. #468C22×C29semidirect
1015. #468C22×C29semidirect
1016. #466C22×C29semidirect
1017. #466C22×C29semidirect
1018. #466C22×C29semidirect
1019. #465C22×C29semidirect
1020. #464C22×C29semidirect
1021. #464C22×C29semidirect
1022. #464C22×C29semidirect
1023. #464C22×C29semidirect
1024. #464C22×C29semidirect
1025. #464C22×C29semidirect
1026. #463C22×C29semidirect
1027. #463C22×C29semidirect
1028. #463C22×C29semidirect
1029. #463C22×C29semidirect
1030. #463C22×C29semidirect
1031. #463C22×C29semidirect
1033. #460C22×C29semidirect
1034. #460C22×C29semidirect
1035. #460C22×C29semidirect
1036. #460C22×C29semidirect
1037. #460C22×C29semidirect
1038. #460C22×C29semidirect
1039. #460C22×C29semidirect
1040. #460C22×C29semidirect
1042. #459C22×C29semidirect
1043. #459C22×C29semidirect
1044. #459C22×C29semidirect
1045. #459C22×C29semidirect
1046. #459C22×C29semidirect
1047. #459C22×C29semidirect
1048. #459C22×C29semidirect
1049. #459C22×C29semidirect
1050. #452C22×C29semidirect
1051. #452C22×C29semidirect
1052. #450C22×C29semidirect
1053. #450C22×C29semidirect
1054. #450C22×C29semidirect
1056. #449C22×C29semidirect
1057. #449C22×C29semidirect
1058. #449C22×C29semidirect
1059. #449C22×C29semidirect
1060. #449C22×C29semidirect
1061. #448C22×C29semidirect
1062. #448C22×C29semidirect
1063. #447C22×C29semidirect
1064. #447C22×C29semidirect
1065. #447C22×C29semidirect
1066. #447C22×C29semidirect
1067. #447C22×C29semidirect
1068. #446C22×C29semidirect
1069. #446C22×C29semidirect
1070. #442C22×C29semidirect
1071. #442C22×C29semidirect
1072. #441C22×C29semidirect
1073. #440C22×C29semidirect
1074. #440C22×C29semidirect
1075. #440C22×C29semidirect
1076. #440C22×C29semidirect
1077. #440C22×C29semidirect
1078. C4×SD16C22×C29semidirect
1079. C4×SD16C22×C29semidirect
1080. C4×SD16C22×C29semidirect
1081. C4×D8C22×C29semidirect
1082. #436C22×C29semidirect
1083. #436C22×C29semidirect
1084. #435C22×C29semidirect
1085. #435C22×C29semidirect
1086. #435C22×C29semidirect
1087. #435C22×C29semidirect
1088. #433C22×C29semidirect
1089. #433C22×C29semidirect
1090. #432C22×C29semidirect
1091. #424C22×C29semidirect
1092. #424C22×C29semidirect
1093. #423C22×C29semidirect
1094. #418C22×C29semidirect
1095. #418C22×C29semidirect
1096. #418C22×C29semidirect
1097. #417C22×C29semidirect
1098. #416C22×C29semidirect
1099. C2×#102C22×C29semidirect
1394. C29#62081direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#35432
C29×#35242
C29×#34032
C29×#33992
C29×#33712
C29×#33682
C29×#33252
C29×#33232
C29×#33192
C29×#33182
C29×#33102
C29×#33092
C29×#32752
C29×#32742
C29×#32712
C29×#32682
C29×#32652
C29×#32592
C29×#32572
C29×#32562
C29×#32242
C29×#32202
C29×#32172
C29×#31262
C29×#31192
C29×#31112
C29×#30452
C29×#30432
C29×#30382
C29×#29952
#6208129