Finite Group Databasebeta

← C29×#62076 #20356976

Subgroups — C29×#62076 #20356976

Order 7424.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3562C211yesmaximal, characteristic, complemented
2C29×#3520C211yesmaximal, characteristic, complemented
3C29×#3402C211yesmaximal, characteristic, complemented
4C29×#3401C211yesmaximal, characteristic, complemented
5C29×#3373C211yesmaximal, characteristic, complemented
6C29×#3367C211yesmaximal, characteristic, complemented
7C29×#3333C211yesmaximal, characteristic, complemented
8C29×#3331C211yesmaximal, characteristic, complemented
9C29×#3316C211yesmaximal, characteristic, complemented
10C29×#3314C211yesmaximal, characteristic, complemented
11C29×#3308C211yesmaximal, characteristic, complemented
12C29×#3306C211yesmaximal, characteristic, complemented
13C29×#3275C211yesmaximal, characteristic, complemented
14C29×#3273C211yesmaximal, characteristic, complemented
15C29×#3269C211yesmaximal, characteristic, complemented
16C29×#3268C211yesmaximal, characteristic, complemented
17C29×#3267C211yesmaximal, characteristic, complemented
18C29×#3267C211yesmaximal, characteristic, complemented
19C29×#3258C211yesmaximal, characteristic, complemented
20C29×#3257C211yesmaximal, characteristic, complemented
21C29×#3252C211yesmaximal, characteristic, complemented
22C29×#3225C211yesmaximal, characteristic, complemented
23C29×#3224C211yesmaximal, characteristic, complemented
24C29×#3216C211yesmaximal, characteristic, complemented
25C29×#3120C211yesmaximal, characteristic, complemented
26C29×#3119C211yesmaximal, characteristic, complemented
27C29×#3114C211yesmaximal, characteristic, complemented
28C29×#3046C211yesmaximal, characteristic, complemented
29C29×#3045C211yesmaximal, characteristic, complemented
30C29×#3036C211yesmaximal, characteristic, complemented
31C29×#2995C211yesmaximal, characteristic, complemented
32C2×C29×#137C2211yescharacteristic, complemented
33C2×C29×AGL(1,ℤ/8)C2211yescharacteristic
34C2×C29×AGL(1,ℤ/8)C2211yescharacteristic
35C2×C29×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C2×C29×#135C2211yescharacteristic
37C2×C29×#135C2211yescharacteristic
38C29×#562—21no—
39C29×#560—21no—
40C29×#559C2211yescharacteristic, complemented
41C29×#556C2211yescharacteristic, complemented
42C29×#556C2211yescharacteristic, complemented
43C29×#554C2211yescharacteristic
44C29×#554C2211yescharacteristic, complemented
45C29×#553—21no—
46C29×#552—21no—
47C29×#551—21no—
48C29×#551—21no—
49C29×#551—21no—
50C29×#550C2211yescharacteristic
51D4×Q8×C29C2211yescharacteristic, complemented
52C29×#548—21no—
53C29×#548C2211yescharacteristic
54C29×#548C2211yescharacteristic, complemented
55C29×#547C2211yescharacteristic
56C29×#547C2211yescharacteristic
57C29×#547C2211yescharacteristic
58C29×#546C2211yescharacteristic
59C29×#546C2211yescharacteristic
60C29×#546C2211yescharacteristic, complemented
61C29×#546C2211yescharacteristic, complemented
62C29×#542C2211yescharacteristic
63C29×#542C2211yescharacteristic, complemented
64C29×#541C2211yescharacteristic, complemented
65C29×#540—21no—
66C29×#540C2211yescharacteristic, complemented
67C29×#539—21no—
68C29×#539—21no—
69C29×#539—21no—
70C29×#538—21no—
71C29×#538—21no—
72C29×#536C2211yescharacteristic, complemented
73C29×#535C2211yescharacteristic, complemented
74C29×#533C2211yescharacteristic, complemented
75C29×#532C2211yescharacteristic
76C29×#529C2211yescharacteristic
77C29×#529C2211yescharacteristic
78C29×#525—21no—
79C2×C29×C22⋊Q8—21no—
80C29×#520C2211yescharacteristic
81C29×#520C2211yescharacteristic, complemented
82C2×C4×D4×C29C2211yescharacteristic, complemented
83C29×#497C2211yescharacteristic, complemented
84C29×#497C2211yescharacteristic, complemented
85C29×#497C2211yescharacteristic, complemented
86C29×#496C2211yescharacteristic
87C29×#495C2211yescharacteristic
88C29×#495C2211yescharacteristic
89C29×#489C2211yescharacteristic, complemented
90C29×#489C2211yescharacteristic, complemented
91C29×#489C2211yescharacteristic, complemented
92C29×#489C2211yescharacteristic, complemented
93C29×#487C2211yescharacteristic, complemented
94C29×#486C2211yescharacteristic, complemented
95C29×#484C2211yescharacteristic, complemented
96C29×#483C2211yescharacteristic, complemented
97C29×#483C2211yescharacteristic, complemented
98C29×#481C2211yescharacteristic, complemented
99C29×#480C2211yescharacteristic
100C29×#480C2211yescharacteristic, complemented
101C29×#479C2211yescharacteristic, complemented
102C29×#479C2211yescharacteristic, complemented
103C29×#478C2211yescharacteristic, complemented
104C29×#478C2211yescharacteristic, complemented
105C29×#477C2211yescharacteristic, complemented
106C29×#477C2211yescharacteristic, complemented
107C29×#476C2211yescharacteristic, complemented
108C29×#476C2211yescharacteristic, complemented
109C29×#475C2211yescharacteristic, complemented
110C29×#474C2211yescharacteristic, complemented
111C29×#470C2211yescharacteristic, complemented
112C29×#470C2211yescharacteristic, complemented
113C29×#470C2211yescharacteristic, complemented
114C29×#469C2211yescharacteristic
115C29×#468C2211yescharacteristic
116C29×#468C2211yescharacteristic
117C29×#468C2211yescharacteristic
118C29×#468C2211yescharacteristic, complemented
119C29×#467C2211yescharacteristic, complemented
120C29×#466C2211yescharacteristic, complemented
121C29×#465C2211yescharacteristic
122C29×#465C2211yescharacteristic, complemented
123C29×#464C2211yescharacteristic, complemented
124C29×#464C2211yescharacteristic, complemented
125C29×#464C2211yescharacteristic, complemented
126C29×#464C2211yescharacteristic, complemented
127C29×#464C2211yescharacteristic, complemented
128C29×#464C2211yescharacteristic, complemented
129C29×#463C2211yescharacteristic
130C29×#463C2211yescharacteristic
131C29×#463C2211yescharacteristic
132C29×#463C2211yescharacteristic
133C29×#463C2211yescharacteristic
134C29×#463C2211yescharacteristic
135C29×#463C2211yescharacteristic
136C29×#463C2211yescharacteristic, complemented
137C29×#463C2211yescharacteristic, complemented
138C29×#463C2211yescharacteristic, complemented
139C29×#462C2211yescharacteristic, complemented
140C29×#462C2211yescharacteristic, complemented
141C29×#462C2211yescharacteristic, complemented
142C29×#462C2211yescharacteristic, complemented
143C29×#461C2211yescharacteristic, complemented
144C29×#461C2211yescharacteristic, complemented
145C29×#461C2211yescharacteristic, complemented
146C29×#461C2211yescharacteristic, complemented
147C29×#460C2211yescharacteristic, complemented
148C29×#460C2211yescharacteristic, complemented
149C29×#460C2211yescharacteristic, complemented
150C29×#459C2211yescharacteristic
151C29×#459C2211yescharacteristic
152C29×#459C2211yescharacteristic
153C29×#452C2211yescharacteristic
154C29×#452C2211yescharacteristic
155C29×#452C2211yescharacteristic
156C29×#452C2211yescharacteristic
157C29×#452C2211yescharacteristic, complemented
158C29×#452C2211yescharacteristic, complemented
159C29×#452C2211yescharacteristic, complemented
160C29×#452C2211yescharacteristic, complemented
161C29×#451C2211yescharacteristic, complemented
162C29×#450C2211yescharacteristic, complemented
163C29×#450C2211yescharacteristic, complemented
164C29×#449C2211yescharacteristic
165C29×#449C2211yescharacteristic
166C29×#449C2211yescharacteristic
167C29×#449C2211yescharacteristic, complemented
168C29×#448C2211yescharacteristic, complemented
169C29×#447C2211yescharacteristic
170C29×#447C2211yescharacteristic
171C29×#446C2211yescharacteristic, complemented
172C29×#446C2211yescharacteristic, complemented
173C29×#442C2211yescharacteristic
174C29×#442C2211yescharacteristic
175C29×#442C2211yescharacteristic, complemented
176C29×#441C2211yescharacteristic, complemented
177C29×#440C2211yescharacteristic, complemented
178C29×#440C2211yescharacteristic, complemented
179C29×#440C2211yescharacteristic, complemented
180C29×#440C2211yescharacteristic, complemented
181C4×Q16×C29C2211yescharacteristic, complemented
182C4×SD16×C29C2211yescharacteristic, complemented
183C4×SD16×C29C2211yescharacteristic, complemented
184C4×D8×C29C2211yescharacteristic
185C29×#436C2211yescharacteristic
186C29×#436C2211yescharacteristic, complemented
187C29×#435C2211yescharacteristic
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×#417C2211yescharacteristic
198C29×#417C2211yescharacteristic, complemented
199C29×#417C2211yescharacteristic, complemented
200C29×#417C2211yescharacteristic, complemented
201C2×C29×#103C2211yescharacteristic, complemented
202C2×C29×#102C2211yescharacteristic, complemented
203C2×#41×C29—21no—
204C2×#41×C29C2311yescharacteristic
205C2×#41×C29C2311yescharacteristic
206C2×#41×C29C2311yescharacteristic
207C2×#41×C29C2311yescharacteristic
208C2×#41×C29C2311yescharacteristic
209C2×#41×C29C2311yescharacteristic
210C22×Q8×C29—21no—
211C22×Q8×C29C2311yescharacteristic
212C22×D4×C29C2311yescharacteristic
213C22×D4×C29C2311yescharacteristic
214C23×C4×C29—21no—
215C29×#137—42no—
216C29×AGL(1,ℤ/8)—42no—
217C29×AGL(1,ℤ/8)—42no—
218C29×AGL(1,ℤ/8)—42no—
219C29×#135—42no—
220C29×#135—42no—
221C2×Q16×C29C2311yescharacteristic
222C2×Q16×C29C2311yescharacteristic
223C2×Q16×C29C2311yescharacteristic
224C2×Q16×C29C2311yescharacteristic
225C2×Q16×C29C2311yescharacteristic
226C2×Q16×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×SD16×C29C2311yescharacteristic
239C2×D8×C29C2311yescharacteristic
240C2×D8×C29C2311yescharacteristic
241C2×D8×C29C2311yescharacteristic
242C2×D8×C29C2311yescharacteristic
243C2×D8×C29C2311yescharacteristic
244C2×D8×C29C2311yescharacteristic
245C2×M16×C29C2311yescharacteristic
246C2×M16×C29C2311yescharacteristic
247C2×M16×C29C2311yescharacteristic
248C2×M16×C29C2311yescharacteristic
249C22×C8×C29C2311yescharacteristic
250C22×C8×C29C2311yescharacteristic
251C29×C4⋊Q8C2311yescharacteristic
252C29×C4⋊Q8C2311yescharacteristic
253C29×C4⋊Q8C2311yescharacteristic
254C29×C4⋊Q8C2311yescharacteristic
255C29×C4⋊Q8C2311yescharacteristic
256C29×C4⋊Q8C2311yescharacteristic
257C29×#127—21no—
258C29×#127C2311yescharacteristic
259C29×#127C2311yescharacteristic
260C29×#126—21no—
261C29×#126—21no—
262C29×#126—21no—
263C29×#126—21no—
264C29×#126—21no—
265C29×#126—21no—
266C29×#126—21no—
267C29×#126—21no—
268C29×#126—21no—
269C29×#126D411yescharacteristic
270C29×#126D411yescharacteristic
271C29×#125—21no—
272C29×#125—21no—
273C29×#125—21no—
274C29×#125—21no—
275C29×#125—21no—
276C29×#125D411yescharacteristic
277C29×#125C2311yescharacteristic
278C29×#124—21no—
279C29×#124—21no—
280C29×#124—21no—
281C29×#124—21no—
282C29×#124—21no—
283C29×#124D411yescharacteristic
284C29×#124C2311yescharacteristic
285C29×#124C2311yescharacteristic
286C29×#124C2311yescharacteristic
287C29×#124C2311yescharacteristic
288C29×#124C2311yescharacteristic
289C29×#124C2311yescharacteristic
290C29×#124C2311yescharacteristic
291C29×#123—21no—
292C29×#123—21no—
293C29×#123—21no—
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×#123D411yescharacteristic
311C29×#123D411yescharacteristic
312C29×C22⋊Q8—21no—
313C29×C22⋊Q8—21no—
314C29×C22⋊Q8—21no—
315C29×C22⋊Q8—21no—
316C29×C22⋊Q8—21no—
317C29×C22⋊Q8—21no—
318C29×C22⋊Q8—21no—
319C29×C22⋊Q8—21no—
320C29×C22⋊Q8—21no—
321C29×C22⋊Q8—21no—
322C29×C22⋊Q8—21no—
323C29×C22⋊Q8—21no—
324C29×C22⋊Q8—21no—
325C29×C22⋊Q8—21no—
326C29×C22⋊Q8—21no—
327C29×C22⋊Q8—21no—
328C29×C22⋊Q8—21no—
329C29×C22⋊Q8D411yescharacteristic
330C29×C22⋊Q8C2311yescharacteristic
331C29×C22⋊Q8C2311yescharacteristic
332C29×C22⋊Q8C2311yescharacteristic
333C29×C22⋊Q8C2311yescharacteristic
334C29×C22⋊Q8C2311yescharacteristic
335C29×C22⋊Q8C2311yescharacteristic
336C29×C22⋊Q8C2311yescharacteristic
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×#121—21no—
347C29×#121—21no—
348C29×#121—21no—
349C29×#121—21no—
350C29×#121—21no—
351C29×#121—21no—
352C29×#121—21no—
353C29×#121D411yescharacteristic
354C29×#121C2311yescharacteristic
355C29×#121C2311yescharacteristic
356C29×#121C2311yescharacteristic
357C29×#121C2311yescharacteristic
358C29×#121C2311yescharacteristic
359C29×#120—21no—
360C29×#120—21no—
361C29×#120—21no—
362C29×#120—21no—
363C29×#120—21no—
364C29×#120—21no—
365C4×Q8×C29—21no—
366C4×Q8×C29C2311yescharacteristic
367C4×Q8×C29C2311yescharacteristic
368C4×Q8×C29C2311yescharacteristic
369C4×Q8×C29C2311yescharacteristic
370C4×Q8×C29C2311yescharacteristic
371C4×Q8×C29C2311yescharacteristic
372C4×Q8×C29C2311yescharacteristic
373C4×Q8×C29C2311yescharacteristic
374C4×D4×C29—21no—
375C4×D4×C29—21no—
376C4×D4×C29—21no—
377C4×D4×C29—21no—
378C4×D4×C29—21no—
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×C29C2311yescharacteristic
390C4×D4×C29C2311yescharacteristic
391C4×D4×C29C2311yescharacteristic
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
401C29×#117—21no—
402C29×#117—21no—
403C29×#117—21no—
404C29×#117—21no—
405C29×#117—21no—
406C29×#117—21no—
407C29×#117C2311yescharacteristic
408C29×#117C2311yescharacteristic
409C2×C4⋊C4×C29—21no—
410C2×C4⋊C4×C29—21no—
411C2×C4⋊C4×C29—21no—
412C2×C4⋊C4×C29—21no—
413C2×C4⋊C4×C29C2311yescharacteristic
414C2×C4⋊C4×C29C2311yescharacteristic
415C2×C4⋊C4×C29C2311yescharacteristic
416C2×C22⋊C4×C29—21no—
417C2×C22⋊C4×C29—21no—
418C2×C22⋊C4×C29—21no—
419C2×C22⋊C4×C29—21no—
420C2×C22⋊C4×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×#103C2311yescharacteristic
449C29×#103C2311yescharacteristic
450C29×#103C2311yescharacteristic
451C29×#103C2311yescharacteristic
452C29×#103C2311yescharacteristic
453C29×#103C2311yescharacteristic
454C29×#103C2311yescharacteristic
455C29×#103C2311yescharacteristic
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—
486#41×C29—22no—
487#41×C29—22no—
488#41×C29—41no—
489#41×C29—41no—
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—41no—
497#41×C29—41no—
498#41×C29—82no—
499C2×Q8×C29—21no—
500C2×Q8×C29—21no—
501C2×Q8×C29—21no—
502C2×Q8×C29—21no—
503C2×Q8×C29—41no—
504C2×Q8×C29—41no—
505C2×Q8×C29—82no—
506C2×Q8×C29C2×D411yescharacteristic
507C2×Q8×C29C2411yescharacteristic
508C2×Q8×C29C2411yescharacteristic
509C2×Q8×C29C2411yescharacteristic
510C2×Q8×C29C2411yescharacteristic
511C2×Q8×C29C2411yescharacteristic
512C2×D4×C29—22no—
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—41no—
531C2×D4×C29—41no—
532C2×D4×C29—41no—
533C2×D4×C29C2×D411yescharacteristic
534C2×D4×C29C2×D411yescharacteristic
535C2×D4×C29C2×D411yescharacteristic
536C2×D4×C29C2411yescharacteristic
537C2×D4×C29C2411yescharacteristic
538C2×D4×C29C2411yescharacteristic
539C2×D4×C29C2411yescharacteristic
540C2×D4×C29C2411yescharacteristic
541C22×C4×C29—21no—
542C22×C4×C29—21no—
543C22×C4×C29—21no—
544C22×C4×C29—21no—
545C22×C4×C29—21no—
546C22×C4×C29—21no—
547C22×C4×C29—21no—
548C22×C4×C29—21no—
549C22×C4×C29—21no—
550C22×C4×C29—21no—
551C22×C4×C29—21no—
552C22×C4×C29—21no—
553C22×C4×C29—21no—
554C22×C4×C29—21no—
555C22×C4×C29—21no—
556C22×C4×C29—21no—
557C22×C4×C29—21no—
558C22×C4×C29—21no—
559C22×C4×C29—21no—
560C22×C4×C29—82no—
561C22×C4×C29C2×D411yescharacteristic
562C22×C4×C29C2×D411yescharacteristic
563C22×C4×C29C2411yescharacteristic
564C22×C4×C29C2411yescharacteristic
565C22×C4×C29C2411yescharacteristic
566Q16×C29—41no—
567Q16×C29—41no—
568Q16×C29—41no—
569Q16×C29—41no—
570Q16×C29—41no—
571Q16×C29—41no—
572SD16×C29—22no—
573SD16×C29—22no—
574SD16×C29—22no—
575SD16×C29—41no—
576SD16×C29—41no—
577SD16×C29—41no—
578SD16×C29—41no—
579SD16×C29—41no—
580SD16×C29—41no—
581SD16×C29—41no—
582SD16×C29—41no—
583SD16×C29—41no—
584D8×C29—22no—
585D8×C29—22no—
586D8×C29—22no—
587D8×C29—41no—
588D8×C29—41no—
589D8×C29—41no—
590M16×C29—41no—
591M16×C29—41no—
592M16×C29—41no—
593M16×C29—41no—
594C2×C8×C29—41no—
595C2×C8×C29—41no—
596C2×C8×C29C2411yescharacteristic
597C2×C8×C29C2411yescharacteristic
598C2×C8×C29C2411yescharacteristic
599C2×C8×C29C2411yescharacteristic
600C2×C8×C29C2411yescharacteristic
601C2×C8×C29C2411yescharacteristic
602C2×C8×C29C2411yescharacteristic
603C2×C8×C29C2411yescharacteristic
604C4⋊C4×C29—21no—
605C4⋊C4×C29—21no—
606C4⋊C4×C29—21no—
607C4⋊C4×C29—21no—
608C4⋊C4×C29—21no—
609C4⋊C4×C29—21no—
610C4⋊C4×C29—21no—
611C4⋊C4×C29—21no—
612C4⋊C4×C29—21no—
613C4⋊C4×C29—21no—
614C4⋊C4×C29—21no—
615C4⋊C4×C29—21no—
616C4⋊C4×C29—21no—
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×C29C2×D411yescharacteristic
633C4⋊C4×C29C2×D411yescharacteristic
634C4⋊C4×C29C2×D411yescharacteristic
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×C29C2411yescharacteristic
643C4⋊C4×C29C2411yescharacteristic
644C4⋊C4×C29C2411yescharacteristic
645C4⋊C4×C29C2411yescharacteristic
646C4⋊C4×C29C2411yescharacteristic
647C4⋊C4×C29C2411yescharacteristic
648C22⋊C4×C29—21no—
649C22⋊C4×C29—21no—
650C22⋊C4×C29—21no—
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×C29C2×D411yescharacteristic
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
693C42×C29—21no—
694C42×C29—21no—
695C42×C29—21no—
696C42×C29—21no—
697C42×C29—21no—
698C42×C29—21no—
699C42×C29—21no—
700C42×C29C2×D411yescharacteristic
701C42×C29C2×D411yescharacteristic
702C42×C29C2411yescharacteristic
703C42×C29C2411yescharacteristic
704C42×C29C2411yescharacteristic
705C42×C29C2411yescharacteristic
706#62076C2911yesmaximal, characteristic, direct product factor, Sylow
707C23×C29—21no—
708C23×C29—21no—
709C23×C29—21no—
710C23×C29—21no—
711C23×C29—21no—
712C23×C29—42no—
713C23×C29—42no—
714C23×C29—81no—
715C23×C29—81no—
716C23×C29—81no—
717C23×C29—81no—
718C23×C29C22×D411yescharacteristic
719C23×C29C22×D411yescharacteristic
720C23×C29C22×D411yescharacteristic
721Q8×C29—21no—
722Q8×C29—21no—
723Q8×C29—21no—
724Q8×C29—21no—
725Q8×C29—21no—
726Q8×C29—21no—
727Q8×C29—21no—
728Q8×C29—21no—
729Q8×C29—21no—
730Q8×C29—21no—
731Q8×C29—41no—
732Q8×C29—42no—
733Q8×C29—81no—
734Q8×C29—81no—
735Q8×C29—81no—
736D4×C29—21no—
737D4×C29—21no—
738D4×C29—21no—
739D4×C29—21no—
740D4×C29—21no—
741D4×C29—21no—
742D4×C29—21no—
743D4×C29—21no—
744D4×C29—21no—
745D4×C29—41no—
746D4×C29—41no—
747D4×C29—41no—
748D4×C29—42no—
749D4×C29—42no—
750D4×C29—42no—
751D4×C29—81no—
752D4×C29—81no—
753D4×C29—81no—
754D4×C29—81no—
755D4×C29—81no—
756D4×C29—81no—
757D4×C29—81no—
758D4×C29—81no—
759D4×C29—81no—
760D4×C29—81no—
761D4×C29—81no—
762D4×C29—81no—
763D4×C29—81no—
764D4×C29—81no—
765D4×C29H(5,𝔽2)12yes—
766C2×C4×C29—21no—
767C2×C4×C29—21no—
768C2×C4×C29—21no—
769C2×C4×C29—21no—
770C2×C4×C29—21no—
771C2×C4×C29—21no—
772C2×C4×C29—21no—
773C2×C4×C29—21no—
774C2×C4×C29—21no—
775C2×C4×C29—21no—
776C2×C4×C29—21no—
777C2×C4×C29—21no—
778C2×C4×C29—21no—
779C2×C4×C29—21no—
780C2×C4×C29—21no—
781C2×C4×C29—21no—
782C2×C4×C29—21no—
783C2×C4×C29—41no—
784C2×C4×C29—41no—
785C2×C4×C29—42no—
786C2×C4×C29—42no—
787C2×C4×C29—42no—
788C2×C4×C29—42no—
789C2×C4×C29—81no—
790C2×C4×C29—81no—
791C2×C4×C29—81no—
792C2×C4×C29—81no—
793C2×C4×C29—81no—
794C2×C4×C29—81no—
795C2×C4×C29—81no—
796C2×C4×C29—81no—
797C2×C4×C29—81no—
798C2×C4×C29—81no—
799C2×C4×C29—81no—
800C2×C4×C29—81no—
801C2×C4×C29—81no—
802C2×C4×C29—81no—
803C2×C4×C29—81no—
804C2×C4×C29C22×D411yescharacteristic
805C2×C4×C29C22×D411yescharacteristic
806C2×C4×C29C22×D411yescharacteristic
807C2×C4×C29C22×D411yescharacteristic
808C2×C4×C29C22×D411yescharacteristic
809C2×C4×C29C22×D411yescharacteristic
810C2×C4×C29C22×D411yescharacteristic
811C2×C4×C29C22×D411yescharacteristic
812C2×C4×C29C22×D411yescharacteristic
813C2×C4×C29C22×D411yescharacteristic
814C2×C4×C29C22×D411yescharacteristic
815C2×C4×C29C2511yescharacteristic
816C8×C29—21no—
817C8×C29—21no—
818C8×C29—21no—
819C8×C29—21no—
820C8×C29—21no—
821C8×C29—21no—
822C8×C29—21no—
823C8×C29—21no—
824#3562C2×C2911yescharacteristic, complemented
825#3520C2×C2911yescharacteristic, complemented
826#3402C2×C2911yescharacteristic, complemented
827#3401C2×C2911yescharacteristic, complemented
828#3373C2×C2911yescharacteristic, complemented
829#3367C2×C2911yescharacteristic, complemented
830#3333C2×C2911yescharacteristic, complemented
831#3331C2×C2911yescharacteristic, complemented
832#3316C2×C2911yescharacteristic, complemented
833#3314C2×C2911yescharacteristic, complemented
834#3308C2×C2911yescharacteristic, complemented
835#3306C2×C2911yescharacteristic, complemented
836#3275C2×C2911yescharacteristic, complemented
837#3273C2×C2911yescharacteristic, complemented
838#3269C2×C2911yescharacteristic, complemented
839#3268C2×C2911yescharacteristic, complemented
840#3267C2×C2911yescharacteristic, complemented
841#3267C2×C2911yescharacteristic, complemented
842#3258C2×C2911yescharacteristic, complemented
843#3257C2×C2911yescharacteristic, complemented
844#3252C2×C2911yescharacteristic, complemented
845#3225C2×C2911yescharacteristic, complemented
846#3224C2×C2911yescharacteristic, complemented
847#3216C2×C2911yescharacteristic, complemented
848#3120C2×C2911yescharacteristic, complemented
849#3119C2×C2911yescharacteristic, complemented
850#3114C2×C2911yescharacteristic, complemented
851#3046C2×C2911yescharacteristic, complemented
852#3045C2×C2911yescharacteristic, complemented
853#3036C2×C2911yescharacteristic, complemented
854#2995C2×C2911yescharacteristic, complemented
855C22×C29—21no—
856C22×C29—21no—
857C22×C29—21no—
858C22×C29—21no—
859C22×C29—21no—
860C22×C29—21no—
861C22×C29—21no—
862C22×C29—21no—
863C22×C29—21no—
864C22×C29—22no—
865C22×C29—41no—
866C22×C29—41no—
867C22×C29—41no—
868C22×C29—41no—
869C22×C29—41no—
870C22×C29—41no—
871C22×C29—41no—
872C22×C29—41no—
873C22×C29—41no—
874C22×C29—41no—
875C22×C29—41no—
876C22×C29—41no—
877C22×C29—41no—
878C22×C29—41no—
879C22×C29—84no—
880C22×C29—162no—
881C22×C29C23×D411yescharacteristic
882C4×C29—21no—
883C4×C29—21no—
884C4×C29—21no—
885C4×C29—21no—
886C4×C29—21no—
887C4×C29—21no—
888C4×C29—21no—
889C4×C29—21no—
890C4×C29—21no—
891C4×C29—21no—
892C4×C29—21no—
893C4×C29—41no—
894C4×C29—41no—
895C4×C29—41no—
896C4×C29—41no—
897C4×C29—41no—
898C4×C29—41no—
899C4×C29—41no—
900C4×C29—41no—
901C4×C29—41no—
902C4×C29—41no—
903C4×C29—41no—
904C4×C29C2×H(5,𝔽2)11yescharacteristic
905C4×C29#58511yescharacteristic
906C2×#137C22×C2911yescharacteristic, complemented
907C2×AGL(1,ℤ/8)C22×C2911yescharacteristic
908C2×AGL(1,ℤ/8)C22×C2911yescharacteristic
909C2×AGL(1,ℤ/8)C22×C2911yescharacteristic, complemented
910C2×#135C22×C2911yescharacteristic
911C2×#135C22×C2911yescharacteristic
912#562—21no—
913#560—21no—
914#559C22×C2911yescharacteristic, complemented
915#556C22×C2911yescharacteristic, complemented
916#556C22×C2911yescharacteristic, complemented
917#554C22×C2911yescharacteristic
918#554C22×C2911yescharacteristic, complemented
919#553—21no—
920#552—21no—
921#551—21no—
922#551—21no—
923#551—21no—
924#550C22×C2911yescharacteristic
925D4×Q8C22×C2911yescharacteristic, complemented
926#548—21no—
927#548C22×C2911yescharacteristic
928#548C22×C2911yescharacteristic, complemented
929#547C22×C2911yescharacteristic
930#547C22×C2911yescharacteristic
931#547C22×C2911yescharacteristic
932#546C22×C2911yescharacteristic
933#546C22×C2911yescharacteristic
934#546C22×C2911yescharacteristic, complemented
935#546C22×C2911yescharacteristic, complemented
936#542C22×C2911yescharacteristic
937#542C22×C2911yescharacteristic, complemented
938#541C22×C2911yescharacteristic, complemented
939#540—21no—
940#540C22×C2911yescharacteristic, complemented
941#539—21no—
942#539—21no—
943#539—21no—
944#538—21no—
945#538—21no—
946#536C22×C2911yescharacteristic, complemented
947#535C22×C2911yescharacteristic, complemented
948#533C22×C2911yescharacteristic, complemented
949#532C22×C2911yescharacteristic
950#529C22×C2911yescharacteristic
951#529C22×C2911yescharacteristic
952#525—21no—
953C2×C22⋊Q8—21no—
954#520C22×C2911yescharacteristic
955#520C22×C2911yescharacteristic, complemented
956C2×C4×D4C22×C2911yescharacteristic, complemented
957#497C22×C2911yescharacteristic, complemented
958#497C22×C2911yescharacteristic, complemented
959#497C22×C2911yescharacteristic, complemented
960#496C22×C2911yescharacteristic
961#495C22×C2911yescharacteristic
962#495C22×C2911yescharacteristic
963#489C22×C2911yescharacteristic, complemented
964#489C22×C2911yescharacteristic, complemented
965#489C22×C2911yescharacteristic, complemented
966#489C22×C2911yescharacteristic, complemented
967#487C22×C2911yescharacteristic, complemented
968#486C22×C2911yescharacteristic, complemented
969#484C22×C2911yescharacteristic, complemented
970#483C22×C2911yescharacteristic, complemented
971#483C22×C2911yescharacteristic, complemented
972#481C22×C2911yescharacteristic, complemented
973#480C22×C2911yescharacteristic
974#480C22×C2911yescharacteristic, complemented
975#479C22×C2911yescharacteristic, complemented
976#479C22×C2911yescharacteristic, complemented
977#478C22×C2911yescharacteristic, complemented
978#478C22×C2911yescharacteristic, complemented
979#477C22×C2911yescharacteristic, complemented
980#477C22×C2911yescharacteristic, complemented
981#476C22×C2911yescharacteristic, complemented
982#476C22×C2911yescharacteristic, complemented
983#475C22×C2911yescharacteristic, complemented
984#474C22×C2911yescharacteristic, complemented
985#470C22×C2911yescharacteristic, complemented
986#470C22×C2911yescharacteristic, complemented
987#470C22×C2911yescharacteristic, complemented
988#469C22×C2911yescharacteristic
989#468C22×C2911yescharacteristic
990#468C22×C2911yescharacteristic
991#468C22×C2911yescharacteristic
992#468C22×C2911yescharacteristic, complemented
993#467C22×C2911yescharacteristic, complemented
994#466C22×C2911yescharacteristic, complemented
995#465C22×C2911yescharacteristic
996#465C22×C2911yescharacteristic, complemented
997#464C22×C2911yescharacteristic, complemented
998#464C22×C2911yescharacteristic, complemented
999#464C22×C2911yescharacteristic, complemented
1000#464C22×C2911yescharacteristic, complemented
1001#464C22×C2911yescharacteristic, complemented
1002#464C22×C2911yescharacteristic, complemented
1003#463C22×C2911yescharacteristic
1004#463C22×C2911yescharacteristic
1005#463C22×C2911yescharacteristic
1006#463C22×C2911yescharacteristic
1007#463C22×C2911yescharacteristic
1008#463C22×C2911yescharacteristic
1009#463C22×C2911yescharacteristic
1010#463C22×C2911yescharacteristic, complemented
1011#463C22×C2911yescharacteristic, complemented
1012#463C22×C2911yescharacteristic, complemented
1013#462C22×C2911yescharacteristic, complemented
1014#462C22×C2911yescharacteristic, complemented
1015#462C22×C2911yescharacteristic, complemented
1016#462C22×C2911yescharacteristic, complemented
1017#461C22×C2911yescharacteristic, complemented
1018#461C22×C2911yescharacteristic, complemented
1019#461C22×C2911yescharacteristic, complemented
1020#461C22×C2911yescharacteristic, complemented
1021#460C22×C2911yescharacteristic, complemented
1022#460C22×C2911yescharacteristic, complemented
1023#460C22×C2911yescharacteristic, complemented
1024#459C22×C2911yescharacteristic
1025#459C22×C2911yescharacteristic
1026#459C22×C2911yescharacteristic
1027#452C22×C2911yescharacteristic
1028#452C22×C2911yescharacteristic
1029#452C22×C2911yescharacteristic
1030#452C22×C2911yescharacteristic
1031#452C22×C2911yescharacteristic, complemented
1032#452C22×C2911yescharacteristic, complemented
1033#452C22×C2911yescharacteristic, complemented
1034#452C22×C2911yescharacteristic, complemented
1035#451C22×C2911yescharacteristic, complemented
1036#450C22×C2911yescharacteristic, complemented
1037#450C22×C2911yescharacteristic, complemented
1038#449C22×C2911yescharacteristic
1039#449C22×C2911yescharacteristic
1040#449C22×C2911yescharacteristic
1041#449C22×C2911yescharacteristic, complemented
1042#448C22×C2911yescharacteristic, complemented
1043#447C22×C2911yescharacteristic
1044#447C22×C2911yescharacteristic
1045#446C22×C2911yescharacteristic, complemented
1046#446C22×C2911yescharacteristic, complemented
1047#442C22×C2911yescharacteristic
1048#442C22×C2911yescharacteristic
1049#442C22×C2911yescharacteristic, complemented
1050#441C22×C2911yescharacteristic, complemented
1051#440C22×C2911yescharacteristic, complemented
1052#440C22×C2911yescharacteristic, complemented
1053#440C22×C2911yescharacteristic, complemented
1054#440C22×C2911yescharacteristic, complemented
1055C4×Q16C22×C2911yescharacteristic, complemented
1056C4×SD16C22×C2911yescharacteristic, complemented
1057C4×SD16C22×C2911yescharacteristic, complemented
1058C4×D8C22×C2911yescharacteristic
1059#436C22×C2911yescharacteristic
1060#436C22×C2911yescharacteristic, complemented
1061#435C22×C2911yescharacteristic
1062#435C22×C2911yescharacteristic, complemented
1063#435C22×C2911yescharacteristic, complemented
1064#435C22×C2911yescharacteristic, complemented
1065#433C22×C2911yescharacteristic, complemented
1066#433C22×C2911yescharacteristic, complemented
1067#432C22×C2911yescharacteristic, complemented
1068#424C22×C2911yescharacteristic, complemented
1069#424C22×C2911yescharacteristic, complemented
1070#423C22×C2911yescharacteristic, complemented
1071#417C22×C2911yescharacteristic
1072#417C22×C2911yescharacteristic, complemented
1073#417C22×C2911yescharacteristic, complemented
1074#417C22×C2911yescharacteristic, complemented
1075C2×#103C22×C2911yescharacteristic, complemented
1076C2×#102C22×C2911yescharacteristic, complemented
1077C2×C29—41no—
1078C2×C29—41no—
1079C2×C29—41no—
1080C2×C29—42no—
1081C2×C29—81no—
1082C2×C29—81no—
1083C2×C29—81no—
1084C2×C29—81no—
1085C2×C29#348811yescharacteristic
1086C2×C29#358511yescharacteristic
1087C2×C29#358611yescharacteristic
1088C2×#41—21no—
1089C2×#41C23×C2911yescharacteristic
1090C2×#41C23×C2911yescharacteristic
1091C2×#41C23×C2911yescharacteristic
1092C2×#41C23×C2911yescharacteristic
1093C2×#41C23×C2911yescharacteristic
1094C2×#41C23×C2911yescharacteristic
1095C22×Q8—21no—
1096C22×Q8C23×C2911yescharacteristic
1097C22×D4C23×C2911yescharacteristic
1098C22×D4C23×C2911yescharacteristic
1099C23×C4—21no—
1100#137—42no—
1101AGL(1,ℤ/8)—42no—
1102AGL(1,ℤ/8)—42no—
1103AGL(1,ℤ/8)—42no—
1104#135—42no—
1105#135—42no—
1106C2×Q16C23×C2911yescharacteristic
1107C2×Q16C23×C2911yescharacteristic
1108C2×Q16C23×C2911yescharacteristic
1109C2×Q16C23×C2911yescharacteristic
1110C2×Q16C23×C2911yescharacteristic
1111C2×Q16C23×C2911yescharacteristic
1112C2×SD16C23×C2911yescharacteristic
1113C2×SD16C23×C2911yescharacteristic
1114C2×SD16C23×C2911yescharacteristic
1115C2×SD16C23×C2911yescharacteristic
1116C2×SD16C23×C2911yescharacteristic
1117C2×SD16C23×C2911yescharacteristic
1118C2×SD16C23×C2911yescharacteristic
1119C2×SD16C23×C2911yescharacteristic
1120C2×SD16C23×C2911yescharacteristic
1121C2×SD16C23×C2911yescharacteristic
1122C2×SD16C23×C2911yescharacteristic
1123C2×SD16C23×C2911yescharacteristic
1124C2×D8C23×C2911yescharacteristic
1125C2×D8C23×C2911yescharacteristic
1126C2×D8C23×C2911yescharacteristic
1127C2×D8C23×C2911yescharacteristic
1128C2×D8C23×C2911yescharacteristic
1129C2×D8C23×C2911yescharacteristic
1130C2×M16C23×C2911yescharacteristic
1131C2×M16C23×C2911yescharacteristic
1132C2×M16C23×C2911yescharacteristic
1133C2×M16C23×C2911yescharacteristic
1134C22×C8C23×C2911yescharacteristic
1135C22×C8C23×C2911yescharacteristic
1136C4⋊Q8C23×C2911yescharacteristic
1137C4⋊Q8C23×C2911yescharacteristic
1138C4⋊Q8C23×C2911yescharacteristic
1139C4⋊Q8C23×C2911yescharacteristic
1140C4⋊Q8C23×C2911yescharacteristic
1141C4⋊Q8C23×C2911yescharacteristic
1142#127—21no—
1143#127C23×C2911yescharacteristic
1144#127C23×C2911yescharacteristic
1145#126—21no—
1146#126—21no—
1147#126—21no—
1148#126—21no—
1149#126—21no—
1150#126—21no—
1151#126—21no—
1152#126—21no—
1153#126—21no—
1154#126D4×C2911yescharacteristic
1155#126D4×C2911yescharacteristic
1156#125—21no—
1157#125—21no—
1158#125—21no—
1159#125—21no—
1160#125—21no—
1161#125D4×C2911yescharacteristic
1162#125C23×C2911yescharacteristic
1163#124—21no—
1164#124—21no—
1165#124—21no—
1166#124—21no—
1167#124—21no—
1168#124D4×C2911yescharacteristic
1169#124C23×C2911yescharacteristic
1170#124C23×C2911yescharacteristic
1171#124C23×C2911yescharacteristic
1172#124C23×C2911yescharacteristic
1173#124C23×C2911yescharacteristic
1174#124C23×C2911yescharacteristic
1175#124C23×C2911yescharacteristic
1176#123—21no—
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123D4×C2911yescharacteristic
1196#123D4×C2911yescharacteristic
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8—21no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8D4×C2911yescharacteristic
1215C22⋊Q8C23×C2911yescharacteristic
1216C22⋊Q8C23×C2911yescharacteristic
1217C22⋊Q8C23×C2911yescharacteristic
1218C22⋊Q8C23×C2911yescharacteristic
1219C22⋊Q8C23×C2911yescharacteristic
1220C22⋊Q8C23×C2911yescharacteristic
1221C22⋊Q8C23×C2911yescharacteristic
1222#121—21no—
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
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#121D4×C2911yescharacteristic
1239#121C23×C2911yescharacteristic
1240#121C23×C2911yescharacteristic
1241#121C23×C2911yescharacteristic
1242#121C23×C2911yescharacteristic
1243#121C23×C2911yescharacteristic
1244#120—21no—
1245#120—21no—
1246#120—21no—
1247#120—21no—
1248#120—21no—
1249#120—21no—
1250C4×Q8—21no—
1251C4×Q8C23×C2911yescharacteristic
1252C4×Q8C23×C2911yescharacteristic
1253C4×Q8C23×C2911yescharacteristic
1254C4×Q8C23×C2911yescharacteristic
1255C4×Q8C23×C2911yescharacteristic
1256C4×Q8C23×C2911yescharacteristic
1257C4×Q8C23×C2911yescharacteristic
1258C4×Q8C23×C2911yescharacteristic
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—21no—
1263C4×D4—21no—
1264C4×D4—21no—
1265C4×D4—21no—
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4C23×C2911yescharacteristic
1275C4×D4C23×C2911yescharacteristic
1276C4×D4C23×C2911yescharacteristic
1277C4×D4C23×C2911yescharacteristic
1278C4×D4C23×C2911yescharacteristic
1279C4×D4C23×C2911yescharacteristic
1280C4×D4C23×C2911yescharacteristic
1281C4×D4C23×C2911yescharacteristic
1282C4×D4C23×C2911yescharacteristic
1283C4×D4C23×C2911yescharacteristic
1284C4×D4C23×C2911yescharacteristic
1285C4×D4C23×C2911yescharacteristic
1286#117—21no—
1287#117—21no—
1288#117—21no—
1289#117—21no—
1290#117—21no—
1291#117—21no—
1292#117C23×C2911yescharacteristic
1293#117C23×C2911yescharacteristic
1294C2×C4⋊C4—21no—
1295C2×C4⋊C4—21no—
1296C2×C4⋊C4—21no—
1297C2×C4⋊C4—21no—
1298C2×C4⋊C4C23×C2911yescharacteristic
1299C2×C4⋊C4C23×C2911yescharacteristic
1300C2×C4⋊C4C23×C2911yescharacteristic
1301C2×C22⋊C4—21no—
1302C2×C22⋊C4—21no—
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—21no—
1305C2×C22⋊C4—21no—
1306C2×C42C23×C2911yescharacteristic
1307#107C23×C2911yescharacteristic
1308#107C23×C2911yescharacteristic
1309#107C23×C2911yescharacteristic
1310#107C23×C2911yescharacteristic
1311#106C23×C2911yescharacteristic
1312#106C23×C2911yescharacteristic
1313#106C23×C2911yescharacteristic
1314#106C23×C2911yescharacteristic
1315C4⋊C8C23×C2911yescharacteristic
1316C4⋊C8C23×C2911yescharacteristic
1317C4⋊C8C23×C2911yescharacteristic
1318C4⋊C8C23×C2911yescharacteristic
1319C4⋊C8C23×C2911yescharacteristic
1320C4⋊C8C23×C2911yescharacteristic
1321C4⋊C8C23×C2911yescharacteristic
1322C4⋊C8C23×C2911yescharacteristic
1323C4⋊C8C23×C2911yescharacteristic
1324C4⋊C8C23×C2911yescharacteristic
1325#103C23×C2911yescharacteristic
1326#103C23×C2911yescharacteristic
1327#103C23×C2911yescharacteristic
1328#103C23×C2911yescharacteristic
1329#103C23×C2911yescharacteristic
1330#103C23×C2911yescharacteristic
1331#103C23×C2911yescharacteristic
1332#103C23×C2911yescharacteristic
1333#103C23×C2911yescharacteristic
1334#103C23×C2911yescharacteristic
1335#103C23×C2911yescharacteristic
1336#103C23×C2911yescharacteristic
1337#103C23×C2911yescharacteristic
1338#103C23×C2911yescharacteristic
1339#103C23×C2911yescharacteristic
1340#103C23×C2911yescharacteristic
1341#102C23×C2911yescharacteristic
1342#102C23×C2911yescharacteristic
1343#102C23×C2911yescharacteristic
1344#102C23×C2911yescharacteristic
1345#102C23×C2911yescharacteristic
1346#102C23×C2911yescharacteristic
1347#102C23×C2911yescharacteristic
1348#102C23×C2911yescharacteristic
1349#102C23×C2911yescharacteristic
1350#102C23×C2911yescharacteristic
1351#102C23×C2911yescharacteristic
1352#102C23×C2911yescharacteristic
1353#102C23×C2911yescharacteristic
1354#102C23×C2911yescharacteristic
1355#102C23×C2911yescharacteristic
1356#102C23×C2911yescharacteristic
1357C22⋊C8C23×C2911yescharacteristic
1358C22⋊C8C23×C2911yescharacteristic
1359C22⋊C8C23×C2911yescharacteristic
1360C22⋊C8C23×C2911yescharacteristic
1361C22⋊C8C23×C2911yescharacteristic
1362C22⋊C8C23×C2911yescharacteristic
1363#97C23×C2911yescharacteristic
1364#97C23×C2911yescharacteristic
1365#97C23×C2911yescharacteristic
1366#97C23×C2911yescharacteristic
1367C4×C8C23×C2911yescharacteristic
1368C4×C8C23×C2911yescharacteristic
1369C29#6207611yescharacteristic, direct product factor, Sylow
1370C24—21no—
1371C24—21no—
1372#41—22no—
1373#41—22no—
1374#41—41no—
1375#41—41no—
1376#41—41no—
1377#41—41no—
1378#41—41no—
1379#41—41no—
1380#41—41no—
1381#41—41no—
1382#41—41no—
1383#41—41no—
1384#41—82no—
1385C2×Q8—21no—
1386C2×Q8—21no—
1387C2×Q8—21no—
1388C2×Q8—21no—
1389C2×Q8—41no—
1390C2×Q8—41no—
1391C2×Q8—82no—
1392C2×Q8C2×D4×C2911yescharacteristic
1393C2×Q8C24×C2911yescharacteristic
1394C2×Q8C24×C2911yescharacteristic
1395C2×Q8C24×C2911yescharacteristic
1396C2×Q8C24×C2911yescharacteristic
1397C2×Q8C24×C2911yescharacteristic
1398C2×D4—22no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4C2×D4×C2911yescharacteristic
1420C2×D4C2×D4×C2911yescharacteristic
1421C2×D4C2×D4×C2911yescharacteristic
1422C2×D4C24×C2911yescharacteristic
1423C2×D4C24×C2911yescharacteristic
1424C2×D4C24×C2911yescharacteristic
1425C2×D4C24×C2911yescharacteristic
1426C2×D4C24×C2911yescharacteristic
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—82no—
1447C22×C4C2×D4×C2911yescharacteristic
1448C22×C4C2×D4×C2911yescharacteristic
1449C22×C4C24×C2911yescharacteristic
1450C22×C4C24×C2911yescharacteristic
1451C22×C4C24×C2911yescharacteristic
1452Q16—41no—
1453Q16—41no—
1454Q16—41no—
1455Q16—41no—
1456Q16—41no—
1457Q16—41no—
1458SD16—22no—
1459SD16—22no—
1460SD16—22no—
1461SD16—41no—
1462SD16—41no—
1463SD16—41no—
1464SD16—41no—
1465SD16—41no—
1466SD16—41no—
1467SD16—41no—
1468SD16—41no—
1469SD16—41no—
1470D8—22no—
1471D8—22no—
1472D8—22no—
1473D8—41no—
1474D8—41no—
1475D8—41no—
1476M16—41no—
1477M16—41no—
1478M16—41no—
1479M16—41no—
1480C2×C8—41no—
1481C2×C8—41no—
1482C2×C8C24×C2911yescharacteristic
1483C2×C8C24×C2911yescharacteristic
1484C2×C8C24×C2911yescharacteristic
1485C2×C8C24×C2911yescharacteristic
1486C2×C8C24×C2911yescharacteristic
1487C2×C8C24×C2911yescharacteristic
1488C2×C8C24×C2911yescharacteristic
1489C2×C8C24×C2911yescharacteristic
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4C2×D4×C2911yescharacteristic
1519C4⋊C4C2×D4×C2911yescharacteristic
1520C4⋊C4C2×D4×C2911yescharacteristic
1521C4⋊C4C2×D4×C2911yescharacteristic
1522C4⋊C4C2×D4×C2911yescharacteristic
1523C4⋊C4C2×D4×C2911yescharacteristic
1524C4⋊C4C2×D4×C2911yescharacteristic
1525C4⋊C4C2×D4×C2911yescharacteristic
1526C4⋊C4C2×D4×C2911yescharacteristic
1527C4⋊C4C2×D4×C2911yescharacteristic
1528C4⋊C4C24×C2911yescharacteristic
1529C4⋊C4C24×C2911yescharacteristic
1530C4⋊C4C24×C2911yescharacteristic
1531C4⋊C4C24×C2911yescharacteristic
1532C4⋊C4C24×C2911yescharacteristic
1533C4⋊C4C24×C2911yescharacteristic
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4C2×D4×C2911yescharacteristic
1570C22⋊C4C2×D4×C2911yescharacteristic
1571C22⋊C4C2×D4×C2911yescharacteristic
1572C22⋊C4C2×D4×C2911yescharacteristic
1573C22⋊C4C2×D4×C2911yescharacteristic
1574C22⋊C4C2×D4×C2911yescharacteristic
1575C22⋊C4C2×D4×C2911yescharacteristic
1576C22⋊C4C2×D4×C2911yescharacteristic
1577C22⋊C4C2×D4×C2911yescharacteristic
1578C22⋊C4C2×D4×C2911yescharacteristic
1579C42—21no—
1580C42—21no—
1581C42—21no—
1582C42—21no—
1583C42—21no—
1584C42—21no—
1585C42—21no—
1586C42C2×D4×C2911yescharacteristic
1587C42C2×D4×C2911yescharacteristic
1588C42C24×C2911yescharacteristic
1589C42C24×C2911yescharacteristic
1590C42C24×C2911yescharacteristic
1591C42C24×C2911yescharacteristic
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—42no—
1598C23—42no—
1599C23—81no—
1600C23—81no—
1601C23—81no—
1602C23—81no—
1603C23C22×D4×C2911yescharacteristic
1604C23C22×D4×C2911yescharacteristic
1605C23C22×D4×C2911yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—41no—
1617Q8—42no—
1618Q8—81no—
1619Q8—81no—
1620Q8—81no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—41no—
1631D4—41no—
1632D4—41no—
1633D4—42no—
1634D4—42no—
1635D4—42no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4C29×H(5,𝔽2)12yes—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—42no—
1671C2×C4—42no—
1672C2×C4—42no—
1673C2×C4—42no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4C22×D4×C2911yescharacteristic
1690C2×C4C22×D4×C2911yescharacteristic
1691C2×C4C22×D4×C2911yescharacteristic
1692C2×C4C22×D4×C2911yescharacteristic
1693C2×C4C22×D4×C2911yescharacteristic
1694C2×C4C22×D4×C2911yescharacteristic
1695C2×C4C22×D4×C2911yescharacteristic
1696C2×C4C22×D4×C2911yescharacteristic
1697C2×C4C22×D4×C2911yescharacteristic
1698C2×C4C22×D4×C2911yescharacteristic
1699C2×C4C22×D4×C2911yescharacteristic
1700C2×C4C25×C2911yescharacteristic
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—21no—
1707C8—21no—
1708C8—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—22no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—21no—
1718C22—21no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—84no—
1734C22—162no—
1735C22C23×D4×C2911yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4C2×C29×H(5,𝔽2)11yescharacteristic
1759C4C29×#58511yescharacteristic
1760C2—41no—
1761C2—41no—
1762C2—41no—
1763C2—42no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—81no—
1768C2C29×#348811yescharacteristic
1769C2C29×#358511yescharacteristic
1770C2C29×#358611yescharacteristic
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×#3562C2semidirect
2. C29×#3520C2semidirect
3. C29×#3402C2semidirect
4. C29×#3401C2semidirect
5. C29×#3373C2semidirect
6. C29×#3367C2semidirect
7. C29×#3333C2semidirect
8. C29×#3331C2semidirect
9. C29×#3316C2semidirect
10. C29×#3314C2semidirect
11. C29×#3308C2semidirect
12. C29×#3306C2semidirect
13. C29×#3275C2semidirect
14. C29×#3273C2semidirect
15. C29×#3269C2semidirect
16. C29×#3268C2semidirect
17. C29×#3267C2semidirect
18. C29×#3267C2semidirect
19. C29×#3258C2semidirect
20. C29×#3257C2semidirect
21. C29×#3252C2semidirect
22. C29×#3225C2semidirect
23. C29×#3224C2semidirect
24. C29×#3216C2semidirect
25. C29×#3120C2semidirect
26. C29×#3119C2semidirect
27. C29×#3114C2semidirect
28. C29×#3046C2semidirect
29. C29×#3045C2semidirect
30. C29×#3036C2semidirect
31. C29×#2995C2semidirect
32. C2×C29×#137C22semidirect
35. C2×C29×AGL(1,ℤ/8)C22semidirect
40. C29×#559C22semidirect
41. C29×#556C22semidirect
42. C29×#556C22semidirect
44. C29×#554C22semidirect
51. D4×Q8×C29C22semidirect
54. C29×#548C22semidirect
60. C29×#546C22semidirect
61. C29×#546C22semidirect
63. C29×#542C22semidirect
64. C29×#541C22semidirect
66. C29×#540C22semidirect
72. C29×#536C22semidirect
73. C29×#535C22semidirect
74. C29×#533C22semidirect
81. C29×#520C22semidirect
82. C2×C4×D4×C29C22semidirect
83. C29×#497C22semidirect
84. C29×#497C22semidirect
85. C29×#497C22semidirect
89. C29×#489C22semidirect
90. C29×#489C22semidirect
91. C29×#489C22semidirect
92. C29×#489C22semidirect
93. C29×#487C22semidirect
94. C29×#486C22semidirect
95. C29×#484C22semidirect
96. C29×#483C22semidirect
97. C29×#483C22semidirect
98. C29×#481C22semidirect
100. C29×#480C22semidirect
101. C29×#479C22semidirect
102. C29×#479C22semidirect
103. C29×#478C22semidirect
104. C29×#478C22semidirect
105. C29×#477C22semidirect
106. C29×#477C22semidirect
107. C29×#476C22semidirect
108. C29×#476C22semidirect
109. C29×#475C22semidirect
110. C29×#474C22semidirect
111. C29×#470C22semidirect
112. C29×#470C22semidirect
113. C29×#470C22semidirect
118. C29×#468C22semidirect
119. C29×#467C22semidirect
120. C29×#466C22semidirect
122. C29×#465C22semidirect
123. C29×#464C22semidirect
124. C29×#464C22semidirect
125. C29×#464C22semidirect
126. C29×#464C22semidirect
127. C29×#464C22semidirect
128. C29×#464C22semidirect
136. C29×#463C22semidirect
137. C29×#463C22semidirect
138. C29×#463C22semidirect
139. C29×#462C22semidirect
140. C29×#462C22semidirect
141. C29×#462C22semidirect
142. C29×#462C22semidirect
143. C29×#461C22semidirect
144. C29×#461C22semidirect
145. C29×#461C22semidirect
146. C29×#461C22semidirect
147. C29×#460C22semidirect
148. C29×#460C22semidirect
149. C29×#460C22semidirect
157. C29×#452C22semidirect
158. C29×#452C22semidirect
159. C29×#452C22semidirect
160. C29×#452C22semidirect
161. C29×#451C22semidirect
162. C29×#450C22semidirect
163. C29×#450C22semidirect
167. C29×#449C22semidirect
168. C29×#448C22semidirect
171. C29×#446C22semidirect
172. C29×#446C22semidirect
175. C29×#442C22semidirect
176. C29×#441C22semidirect
177. C29×#440C22semidirect
178. C29×#440C22semidirect
179. C29×#440C22semidirect
180. C29×#440C22semidirect
181. C4×Q16×C29C22semidirect
182. C4×SD16×C29C22semidirect
183. C4×SD16×C29C22semidirect
186. C29×#436C22semidirect
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
198. C29×#417C22semidirect
199. C29×#417C22semidirect
200. C29×#417C22semidirect
201. C2×C29×#103C22semidirect
202. C2×C29×#102C22semidirect
706. #62076C29direct (N × H)
824. #3562C2×C29semidirect
825. #3520C2×C29semidirect
826. #3402C2×C29semidirect
827. #3401C2×C29semidirect
828. #3373C2×C29semidirect
829. #3367C2×C29semidirect
830. #3333C2×C29semidirect
831. #3331C2×C29semidirect
832. #3316C2×C29semidirect
833. #3314C2×C29semidirect
834. #3308C2×C29semidirect
835. #3306C2×C29semidirect
836. #3275C2×C29semidirect
837. #3273C2×C29semidirect
838. #3269C2×C29semidirect
839. #3268C2×C29semidirect
840. #3267C2×C29semidirect
841. #3267C2×C29semidirect
842. #3258C2×C29semidirect
843. #3257C2×C29semidirect
844. #3252C2×C29semidirect
845. #3225C2×C29semidirect
846. #3224C2×C29semidirect
847. #3216C2×C29semidirect
848. #3120C2×C29semidirect
849. #3119C2×C29semidirect
850. #3114C2×C29semidirect
851. #3046C2×C29semidirect
852. #3045C2×C29semidirect
853. #3036C2×C29semidirect
854. #2995C2×C29semidirect
906. C2×#137C22×C29semidirect
909. C2×AGL(1,ℤ/8)C22×C29semidirect
914. #559C22×C29semidirect
915. #556C22×C29semidirect
916. #556C22×C29semidirect
918. #554C22×C29semidirect
925. D4×Q8C22×C29semidirect
928. #548C22×C29semidirect
934. #546C22×C29semidirect
935. #546C22×C29semidirect
937. #542C22×C29semidirect
938. #541C22×C29semidirect
940. #540C22×C29semidirect
946. #536C22×C29semidirect
947. #535C22×C29semidirect
948. #533C22×C29semidirect
955. #520C22×C29semidirect
956. C2×C4×D4C22×C29semidirect
957. #497C22×C29semidirect
958. #497C22×C29semidirect
959. #497C22×C29semidirect
963. #489C22×C29semidirect
964. #489C22×C29semidirect
965. #489C22×C29semidirect
966. #489C22×C29semidirect
967. #487C22×C29semidirect
968. #486C22×C29semidirect
969. #484C22×C29semidirect
970. #483C22×C29semidirect
971. #483C22×C29semidirect
972. #481C22×C29semidirect
974. #480C22×C29semidirect
975. #479C22×C29semidirect
976. #479C22×C29semidirect
977. #478C22×C29semidirect
978. #478C22×C29semidirect
979. #477C22×C29semidirect
980. #477C22×C29semidirect
981. #476C22×C29semidirect
982. #476C22×C29semidirect
983. #475C22×C29semidirect
984. #474C22×C29semidirect
985. #470C22×C29semidirect
986. #470C22×C29semidirect
987. #470C22×C29semidirect
992. #468C22×C29semidirect
993. #467C22×C29semidirect
994. #466C22×C29semidirect
996. #465C22×C29semidirect
997. #464C22×C29semidirect
998. #464C22×C29semidirect
999. #464C22×C29semidirect
1000. #464C22×C29semidirect
1001. #464C22×C29semidirect
1002. #464C22×C29semidirect
1010. #463C22×C29semidirect
1011. #463C22×C29semidirect
1012. #463C22×C29semidirect
1013. #462C22×C29semidirect
1014. #462C22×C29semidirect
1015. #462C22×C29semidirect
1016. #462C22×C29semidirect
1017. #461C22×C29semidirect
1018. #461C22×C29semidirect
1019. #461C22×C29semidirect
1020. #461C22×C29semidirect
1021. #460C22×C29semidirect
1022. #460C22×C29semidirect
1023. #460C22×C29semidirect
1031. #452C22×C29semidirect
1032. #452C22×C29semidirect
1033. #452C22×C29semidirect
1034. #452C22×C29semidirect
1035. #451C22×C29semidirect
1036. #450C22×C29semidirect
1037. #450C22×C29semidirect
1041. #449C22×C29semidirect
1042. #448C22×C29semidirect
1045. #446C22×C29semidirect
1046. #446C22×C29semidirect
1049. #442C22×C29semidirect
1050. #441C22×C29semidirect
1051. #440C22×C29semidirect
1052. #440C22×C29semidirect
1053. #440C22×C29semidirect
1054. #440C22×C29semidirect
1055. C4×Q16C22×C29semidirect
1056. C4×SD16C22×C29semidirect
1057. C4×SD16C22×C29semidirect
1060. #436C22×C29semidirect
1062. #435C22×C29semidirect
1063. #435C22×C29semidirect
1064. #435C22×C29semidirect
1065. #433C22×C29semidirect
1066. #433C22×C29semidirect
1067. #432C22×C29semidirect
1068. #424C22×C29semidirect
1069. #424C22×C29semidirect
1070. #423C22×C29semidirect
1072. #417C22×C29semidirect
1073. #417C22×C29semidirect
1074. #417C22×C29semidirect
1075. C2×#103C22×C29semidirect
1076. C2×#102C22×C29semidirect
1369. C29#62076direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#35622
C29×#35202
C29×#34022
C29×#34012
C29×#33732
C29×#33672
C29×#33332
C29×#33312
C29×#33162
C29×#33142
C29×#33082
C29×#33062
C29×#32752
C29×#32732
C29×#32692
C29×#32682
C29×#32672
C29×#32582
C29×#32572
C29×#32522
C29×#32252
C29×#32242
C29×#32162
C29×#31202
C29×#31192
C29×#31142
C29×#30462
C29×#30452
C29×#30362
C29×#29952
#6207629