Finite Group Databasebeta

← C29×#62077 #20356977

Subgroups — C29×#62077 #20356977

Order 7424.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3562C211yesmaximal, characteristic
2C29×#3523C211yesmaximal, characteristic, complemented
3C29×#3400C211yesmaximal, characteristic, complemented
4C29×#3398C211yesmaximal, characteristic, complemented
5C29×#3377C211yesmaximal, characteristic, complemented
6C29×#3371C211yesmaximal, characteristic, complemented
7C29×#3327C211yesmaximal, characteristic, complemented
8C29×#3323C211yesmaximal, characteristic, complemented
9C29×#3317C211yesmaximal, characteristic, complemented
10C29×#3315C211yesmaximal, characteristic, complemented
11C29×#3313C211yesmaximal, characteristic, complemented
12C29×#3311C211yesmaximal, characteristic, complemented
13C29×#3278C211yesmaximal, characteristic, complemented
14C29×#3276C211yesmaximal, characteristic, complemented
15C29×#3270C211yesmaximal, characteristic, complemented
16C29×#3270C211yesmaximal, characteristic, complemented
17C29×#3266C211yesmaximal, characteristic, complemented
18C29×#3266C211yesmaximal, characteristic, complemented
19C29×#3261C211yesmaximal, characteristic, complemented
20C29×#3260C211yesmaximal, characteristic, complemented
21C29×#3252C211yesmaximal, characteristic, complemented
22C29×#3223C211yesmaximal, characteristic, complemented
23C29×#3222C211yesmaximal, characteristic, complemented
24C29×#3216C211yesmaximal, characteristic, complemented
25C29×#3127C211yesmaximal, characteristic, complemented
26C29×#3126C211yesmaximal, characteristic, complemented
27C29×#3117C211yesmaximal, characteristic, complemented
28C29×#3044C211yesmaximal, characteristic, complemented
29C29×#3043C211yesmaximal, characteristic, complemented
30C29×#3037C211yesmaximal, characteristic, complemented
31C29×#2995C211yesmaximal, characteristic, complemented
32C2×C29×#137C2211yescharacteristic
33C2×C29×#137C2211yescharacteristic
34C2×C29×#137C2211yescharacteristic
35C2×C29×#137C2211yescharacteristic, complemented
36C22×Q16×C29C2211yescharacteristic, complemented
37C22×SD16×C29C2211yescharacteristic
38C29×#562—21no—
39C29×#560—21no—
40C29×#559C2211yescharacteristic
41C29×#557—21no—
42C29×#557C2211yescharacteristic, complemented
43C29×#557C2211yescharacteristic, complemented
44C29×#556—21no—
45C29×#556C2211yescharacteristic
46C29×#556C2211yescharacteristic
47C29×#553—21no—
48C29×#552—21no—
49C29×#552—21no—
50C29×#552C2211yescharacteristic
51C29×#552C2211yescharacteristic, complemented
52C29×#551—21no—
53C29×#550C2211yescharacteristic
54D4×Q8×C29C2211yescharacteristic
55D4×Q8×C29C2211yescharacteristic
56D4×Q8×C29C2211yescharacteristic, complemented
57C29×#548C2211yescharacteristic
58C29×#548C2211yescharacteristic
59C29×#547C2211yescharacteristic
60C29×#546C2211yescharacteristic
61C29×#546C2211yescharacteristic
62C29×#541—21no—
63C29×#541—21no—
64C29×#541C2211yescharacteristic
65C29×#541C2211yescharacteristic
66C29×#541C2211yescharacteristic, complemented
67C29×#540—21no—
68C29×#540C2211yescharacteristic
69C29×#539—21no—
70C29×#538—21no—
71C29×#538—21no—
72C29×#536C2211yescharacteristic
73C29×#535C2211yescharacteristic
74C29×#533—21no—
75C29×#533C2211yescharacteristic, complemented
76C29×#532C2211yescharacteristic
77C29×#529—21no—
78C29×#529C2211yescharacteristic
79C29×#529C2211yescharacteristic
80C29×#519C2211yescharacteristic
81C29×#519C2211yescharacteristic, complemented
82C2×C4×Q8×C29C2211yescharacteristic, complemented
83C29×#497C2211yescharacteristic
84C29×#497C2211yescharacteristic
85C29×#497C2211yescharacteristic
86C29×#497C2211yescharacteristic, complemented
87C29×#494C2211yescharacteristic, complemented
88C29×#492C2211yescharacteristic
89C29×#491C2211yescharacteristic, complemented
90C29×#490C2211yescharacteristic
91C29×#489C2211yescharacteristic
92C29×#489C2211yescharacteristic, complemented
93C29×#488C2211yescharacteristic
94C29×#488C2211yescharacteristic
95C29×#485C2211yescharacteristic
96C29×#485C2211yescharacteristic
97C29×#484C2211yescharacteristic, complemented
98C29×#482C2211yescharacteristic
99C29×#482C2211yescharacteristic, complemented
100C29×#481C2211yescharacteristic
101C29×#479C2211yescharacteristic, complemented
102C29×#479C2211yescharacteristic, complemented
103C29×#479C2211yescharacteristic, complemented
104C29×#479C2211yescharacteristic, complemented
105C29×#479C2211yescharacteristic, complemented
106C29×#479C2211yescharacteristic, complemented
107C29×#478C2211yescharacteristic
108C29×#478C2211yescharacteristic, complemented
109C29×#477C2211yescharacteristic, complemented
110C29×#476C2211yescharacteristic
111C29×#470C2211yescharacteristic
112C29×#470C2211yescharacteristic
113C29×#470C2211yescharacteristic, complemented
114C29×#470C2211yescharacteristic, complemented
115C29×#468C2211yescharacteristic
116C29×#468C2211yescharacteristic
117C29×#468C2211yescharacteristic
118C29×#468C2211yescharacteristic, complemented
119C29×#467C2211yescharacteristic
120C29×#467C2211yescharacteristic
121C29×#465C2211yescharacteristic
122C29×#465C2211yescharacteristic, complemented
123C29×#464C2211yescharacteristic
124C29×#464C2211yescharacteristic
125C29×#464C2211yescharacteristic
126C29×#464C2211yescharacteristic
127C29×#464C2211yescharacteristic
128C29×#464C2211yescharacteristic
129C29×#464C2211yescharacteristic
130C29×#464C2211yescharacteristic
131C29×#464C2211yescharacteristic
132C29×#464C2211yescharacteristic
133C29×#464C2211yescharacteristic, complemented
134C29×#464C2211yescharacteristic, complemented
135C29×#462C2211yescharacteristic, complemented
136C29×#462C2211yescharacteristic, complemented
137C29×#462C2211yescharacteristic, complemented
138C29×#462C2211yescharacteristic, complemented
139C29×#462C2211yescharacteristic, complemented
140C29×#462C2211yescharacteristic, complemented
141C29×#462C2211yescharacteristic, complemented
142C29×#462C2211yescharacteristic, complemented
143C29×#462C2211yescharacteristic, complemented
144C29×#461C2211yescharacteristic
145C29×#461C2211yescharacteristic
146C29×#461C2211yescharacteristic, complemented
147C29×#460C2211yescharacteristic
148C29×#460C2211yescharacteristic
149C29×#460C2211yescharacteristic
150C29×#460C2211yescharacteristic
151C29×#460C2211yescharacteristic
152C29×#460C2211yescharacteristic
153C29×#452C2211yescharacteristic
154C29×#452C2211yescharacteristic
155C29×#452C2211yescharacteristic
156C29×#452C2211yescharacteristic
157C29×#452C2211yescharacteristic
158C29×#452C2211yescharacteristic
159C29×#452C2211yescharacteristic, complemented
160C29×#452C2211yescharacteristic, complemented
161C29×#451C2211yescharacteristic
162C29×#451C2211yescharacteristic
163C29×#451C2211yescharacteristic, complemented
164C29×#451C2211yescharacteristic, complemented
165C29×#451C2211yescharacteristic, complemented
166C29×#450C2211yescharacteristic
167C29×#450C2211yescharacteristic
168C29×#448C2211yescharacteristic
169C29×#448C2211yescharacteristic
170C29×#448C2211yescharacteristic, complemented
171C29×#446C2211yescharacteristic, complemented
172C29×#446C2211yescharacteristic, complemented
173C29×#441C2211yescharacteristic, complemented
174C29×#441C2211yescharacteristic, complemented
175C29×#441C2211yescharacteristic, complemented
176C29×#441C2211yescharacteristic, complemented
177C29×#440C2211yescharacteristic
178C29×#440C2211yescharacteristic
179C29×#440C2211yescharacteristic
180C29×#440C2211yescharacteristic, complemented
181C4×Q16×C29C2211yescharacteristic, complemented
182C4×Q16×C29C2211yescharacteristic, complemented
183C4×SD16×C29C2211yescharacteristic
184C4×SD16×C29C2211yescharacteristic, complemented
185C29×#436C2211yescharacteristic
186C29×#436C2211yescharacteristic, complemented
187C29×#435C2211yescharacteristic
188C29×#435C2211yescharacteristic
189C29×#435C2211yescharacteristic
190C29×#435C2211yescharacteristic, complemented
191C29×#433C2211yescharacteristic
192C29×#433C2211yescharacteristic, complemented
193C29×#432C2211yescharacteristic, complemented
194C29×#424C2211yescharacteristic
195C29×#424C2211yescharacteristic, complemented
196C29×#423C2211yescharacteristic, complemented
197C29×#419C2211yescharacteristic, complemented
198C29×#418C2211yescharacteristic
199C29×#417C2211yescharacteristic
200C29×#417C2211yescharacteristic, complemented
201C29×#416C2211yescharacteristic
202C29×#416C2211yescharacteristic
203C2×#41×C29C2311yescharacteristic
204C2×#41×C29C2311yescharacteristic
205C2×#41×C29C2311yescharacteristic
206C2×#41×C29C2311yescharacteristic
207C22×Q8×C29C2311yescharacteristic
208C22×Q8×C29C2311yescharacteristic
209C22×Q8×C29C2311yescharacteristic
210C22×Q8×C29C2311yescharacteristic
211C22×D4×C29C2311yescharacteristic
212C29×#137—42no—
213C29×#137—42no—
214C29×#137—42no—
215C29×#137—42no—
216C2×Q16×C29—42no—
217C2×Q16×C29C2311yescharacteristic
218C2×Q16×C29C2311yescharacteristic
219C2×Q16×C29C2311yescharacteristic
220C2×Q16×C29C2311yescharacteristic
221C2×Q16×C29C2311yescharacteristic
222C2×Q16×C29C2311yescharacteristic
223C2×Q16×C29C2311yescharacteristic
224C2×Q16×C29C2311yescharacteristic
225C2×Q16×C29C2311yescharacteristic
226C2×Q16×C29C2311yescharacteristic
227C2×Q16×C29C2311yescharacteristic
228C2×Q16×C29C2311yescharacteristic
229C2×SD16×C29—42no—
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×SD16×C29C2311yescharacteristic
240C2×SD16×C29C2311yescharacteristic
241C2×SD16×C29C2311yescharacteristic
242C2×M16×C29C2311yescharacteristic
243C2×M16×C29C2311yescharacteristic
244C2×M16×C29C2311yescharacteristic
245C2×M16×C29C2311yescharacteristic
246C22×C8×C29C2311yescharacteristic
247C22×C8×C29C2311yescharacteristic
248C29×C4⋊Q8—21no—
249C29×C4⋊Q8—21no—
250C29×C4⋊Q8—21no—
251C29×C4⋊Q8—21no—
252C29×C4⋊Q8C2311yescharacteristic
253C29×C4⋊Q8C2311yescharacteristic
254C29×C4⋊Q8C2311yescharacteristic
255C29×C4⋊Q8C2311yescharacteristic
256C29×C4⋊Q8C2311yescharacteristic
257C29×C4⋊Q8C2311yescharacteristic
258C29×#127—21no—
259C29×#127C2311yescharacteristic
260C29×#127C2311yescharacteristic
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×#126—21no—
270C29×#126—21no—
271C29×#126—21no—
272C29×#126—21no—
273C29×#126—21no—
274C29×#126D411yescharacteristic
275C29×#126D411yescharacteristic
276C29×#125—21no—
277C29×#125—21no—
278C29×#125—21no—
279C29×#125—21no—
280C29×#125—21no—
281C29×#125—21no—
282C29×#125—21no—
283C29×#125—21no—
284C29×#125—21no—
285C29×#125—21no—
286C29×#125—21no—
287C29×#125—21no—
288C29×#125—21no—
289C29×#125—21no—
290C29×#125D411yescharacteristic
291C29×#125C2311yescharacteristic
292C29×#125C2311yescharacteristic
293C29×#125C2311yescharacteristic
294C29×#124—21no—
295C29×#124—21no—
296C29×#124—21no—
297C29×#124—21no—
298C29×#124D411yescharacteristic
299C29×#124C2311yescharacteristic
300C29×#124C2311yescharacteristic
301C29×#124C2311yescharacteristic
302C29×#124C2311yescharacteristic
303C29×#124C2311yescharacteristic
304C29×#123—21no—
305C29×#123—21no—
306C29×#123—21no—
307C29×#123—21no—
308C29×#123—21no—
309C29×#123—21no—
310C29×#123—21no—
311C29×#123—21no—
312C29×#123—21no—
313C29×#123—21no—
314C29×#123—21no—
315C29×#123—21no—
316C29×#123—21no—
317C29×#123D411yescharacteristic
318C29×#123D411yescharacteristic
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⋊Q8—21no—
330C29×C22⋊Q8—21no—
331C29×C22⋊Q8D411yescharacteristic
332C29×C22⋊Q8C2311yescharacteristic
333C29×C22⋊Q8C2311yescharacteristic
334C29×C22⋊Q8C2311yescharacteristic
335C29×C22⋊Q8C2311yescharacteristic
336C29×C22⋊Q8C2311yescharacteristic
337C29×C22⋊Q8C2311yescharacteristic
338C29×C22⋊Q8C2311yescharacteristic
339C29×C22⋊Q8C2311yescharacteristic
340C29×C22⋊Q8C2311yescharacteristic
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×#121—21no—
354C29×#121D411yescharacteristic
355C29×#121C2311yescharacteristic
356C29×#121C2311yescharacteristic
357C29×#121C2311yescharacteristic
358C29×#120—21no—
359C29×#120—21no—
360C29×#120—21no—
361C29×#120—21no—
362C4×Q8×C29—21no—
363C4×Q8×C29—21no—
364C4×Q8×C29—21no—
365C4×Q8×C29—21no—
366C4×Q8×C29—21no—
367C4×Q8×C29—21no—
368C4×Q8×C29—21no—
369C4×Q8×C29—21no—
370C4×Q8×C29—21no—
371C4×Q8×C29—21no—
372C4×Q8×C29C2311yescharacteristic
373C4×Q8×C29C2311yescharacteristic
374C4×Q8×C29C2311yescharacteristic
375C4×Q8×C29C2311yescharacteristic
376C4×Q8×C29C2311yescharacteristic
377C4×Q8×C29C2311yescharacteristic
378C4×Q8×C29C2311yescharacteristic
379C4×Q8×C29C2311yescharacteristic
380C4×Q8×C29C2311yescharacteristic
381C4×Q8×C29C2311yescharacteristic
382C4×Q8×C29C2311yescharacteristic
383C4×Q8×C29C2311yescharacteristic
384C4×Q8×C29C2311yescharacteristic
385C4×Q8×C29C2311yescharacteristic
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×C29—21no—
393C4×D4×C29—21no—
394C4×D4×C29—21no—
395C4×D4×C29—21no—
396C4×D4×C29C2311yescharacteristic
397C4×D4×C29C2311yescharacteristic
398C4×D4×C29C2311yescharacteristic
399C4×D4×C29C2311yescharacteristic
400C4×D4×C29C2311yescharacteristic
401C4×D4×C29C2311yescharacteristic
402C29×#117—21no—
403C29×#117—21no—
404C29×#117—21no—
405C29×#117—21no—
406C29×#117—21no—
407C29×#117—21no—
408C29×#117—21no—
409C29×#117—21no—
410C29×#117—21no—
411C29×#117C2311yescharacteristic
412C29×#117C2311yescharacteristic
413C29×#117C2311yescharacteristic
414C29×#117C2311yescharacteristic
415C2×C4⋊C4×C29—21no—
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×#103C2311yescharacteristic
449C29×#103C2311yescharacteristic
450C29×#103C2311yescharacteristic
451C29×#103C2311yescharacteristic
452C29×#103C2311yescharacteristic
453C29×#103C2311yescharacteristic
454C29×#103C2311yescharacteristic
455C29×#103C2311yescharacteristic
456C29×#103C2311yescharacteristic
457C29×#103C2311yescharacteristic
458C29×#103C2311yescharacteristic
459C29×#103C2311yescharacteristic
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—
485#41×C29—41no—
486#41×C29—41no—
487#41×C29—41no—
488#41×C29—41no—
489#41×C29—41no—
490#41×C29—41no—
491#41×C29—41no—
492#41×C29—41no—
493C2×Q8×C29—21no—
494C2×Q8×C29—21no—
495C2×Q8×C29—21no—
496C2×Q8×C29—21no—
497C2×Q8×C29—21no—
498C2×Q8×C29—22no—
499C2×Q8×C29—22no—
500C2×Q8×C29—22no—
501C2×Q8×C29—41no—
502C2×Q8×C29—41no—
503C2×Q8×C29—41no—
504C2×Q8×C29—41no—
505C2×Q8×C29—41no—
506C2×Q8×C29C2×D411yescharacteristic
507C2×Q8×C29C2411yescharacteristic
508C2×Q8×C29C2411yescharacteristic
509C2×Q8×C29C2411yescharacteristic
510C2×Q8×C29C2411yescharacteristic
511C2×Q8×C29C2411yescharacteristic
512C2×Q8×C29C2411yescharacteristic
513C2×Q8×C29C2411yescharacteristic
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—41no—
527C2×D4×C29—41no—
528C2×D4×C29C2×D411yescharacteristic
529C2×D4×C29C2×D411yescharacteristic
530C2×D4×C29C2×D411yescharacteristic
531C2×D4×C29C2411yescharacteristic
532C2×D4×C29C2411yescharacteristic
533C2×D4×C29C2411yescharacteristic
534C22×C4×C29—21no—
535C22×C4×C29—21no—
536C22×C4×C29—21no—
537C22×C4×C29—21no—
538C22×C4×C29—21no—
539C22×C4×C29—21no—
540C22×C4×C29—21no—
541C22×C4×C29—21no—
542C22×C4×C29—21no—
543C22×C4×C29—21no—
544C22×C4×C29—21no—
545C22×C4×C29—21no—
546C22×C4×C29C2×D411yescharacteristic
547C22×C4×C29C2×D411yescharacteristic
548C22×C4×C29C2411yescharacteristic
549C22×C4×C29C2411yescharacteristic
550C22×C4×C29C2411yescharacteristic
551Q16×C29—22no—
552Q16×C29—22no—
553Q16×C29—22no—
554Q16×C29—41no—
555Q16×C29—41no—
556Q16×C29—41no—
557Q16×C29—41no—
558Q16×C29—41no—
559Q16×C29—41no—
560Q16×C29—41no—
561Q16×C29—41no—
562Q16×C29—41no—
563SD16×C29—22no—
564SD16×C29—22no—
565SD16×C29—22no—
566SD16×C29—41no—
567SD16×C29—41no—
568SD16×C29—41no—
569SD16×C29—41no—
570SD16×C29—41no—
571SD16×C29—41no—
572SD16×C29—41no—
573SD16×C29—41no—
574SD16×C29—41no—
575M16×C29—41no—
576M16×C29—41no—
577M16×C29—41no—
578M16×C29—41no—
579C2×C8×C29—41no—
580C2×C8×C29—41no—
581C2×C8×C29C2411yescharacteristic
582C2×C8×C29C2411yescharacteristic
583C2×C8×C29C2411yescharacteristic
584C2×C8×C29C2411yescharacteristic
585C2×C8×C29C2411yescharacteristic
586C2×C8×C29C2411yescharacteristic
587C2×C8×C29C2411yescharacteristic
588C2×C8×C29C2411yescharacteristic
589C4⋊C4×C29—21no—
590C4⋊C4×C29—21no—
591C4⋊C4×C29—21no—
592C4⋊C4×C29—21no—
593C4⋊C4×C29—21no—
594C4⋊C4×C29—21no—
595C4⋊C4×C29—21no—
596C4⋊C4×C29—21no—
597C4⋊C4×C29—21no—
598C4⋊C4×C29—21no—
599C4⋊C4×C29—21no—
600C4⋊C4×C29—21no—
601C4⋊C4×C29—21no—
602C4⋊C4×C29—21no—
603C4⋊C4×C29—21no—
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×C29C2×D411yescharacteristic
630C4⋊C4×C29C2×D411yescharacteristic
631C4⋊C4×C29C2×D411yescharacteristic
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×C29C2411yescharacteristic
640C4⋊C4×C29C2411yescharacteristic
641C4⋊C4×C29C2411yescharacteristic
642C4⋊C4×C29C2411yescharacteristic
643C4⋊C4×C29C2411yescharacteristic
644C4⋊C4×C29C2411yescharacteristic
645C22⋊C4×C29—21no—
646C22⋊C4×C29—21no—
647C22⋊C4×C29—21no—
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×C29C2×D411yescharacteristic
673C22⋊C4×C29C2×D411yescharacteristic
674C22⋊C4×C29C2×D411yescharacteristic
675C22⋊C4×C29C2×D411yescharacteristic
676C22⋊C4×C29C2×D411yescharacteristic
677C22⋊C4×C29C2×D411yescharacteristic
678C22⋊C4×C29C2×D411yescharacteristic
679C22⋊C4×C29C2×D411yescharacteristic
680C22⋊C4×C29C2×D411yescharacteristic
681C22⋊C4×C29C2×D411yescharacteristic
682C42×C29—21no—
683C42×C29—21no—
684C42×C29—21no—
685C42×C29—21no—
686C42×C29—21no—
687C42×C29—21no—
688C42×C29—21no—
689C42×C29—21no—
690C42×C29—21no—
691C42×C29—21no—
692C42×C29—21no—
693C42×C29—21no—
694C42×C29—21no—
695C42×C29—21no—
696C42×C29—21no—
697C42×C29C2×D411yescharacteristic
698C42×C29C2×D411yescharacteristic
699C42×C29C2411yescharacteristic
700C42×C29C2411yescharacteristic
701C42×C29C2411yescharacteristic
702C42×C29C2411yescharacteristic
703#62077C2911yesmaximal, characteristic, direct product factor, Sylow
704C23×C29—21no—
705C23×C29—21no—
706C23×C29—21no—
707C23×C29—81no—
708C23×C29—81no—
709C23×C29—81no—
710C23×C29C22×D411yescharacteristic
711C23×C29C22×D411yescharacteristic
712C23×C29C22×D411yescharacteristic
713Q8×C29—21no—
714Q8×C29—21no—
715Q8×C29—21no—
716Q8×C29—21no—
717Q8×C29—21no—
718Q8×C29—21no—
719Q8×C29—21no—
720Q8×C29—21no—
721Q8×C29—21no—
722Q8×C29—21no—
723Q8×C29—21no—
724Q8×C29—21no—
725Q8×C29—21no—
726Q8×C29—41no—
727Q8×C29—42no—
728Q8×C29—42no—
729Q8×C29—42no—
730Q8×C29—42no—
731Q8×C29—81no—
732Q8×C29H(5,𝔽2)12yes—
733D4×C29—21no—
734D4×C29—21no—
735D4×C29—21no—
736D4×C29—21no—
737D4×C29—21no—
738D4×C29—21no—
739D4×C29—41no—
740D4×C29—41no—
741D4×C29—41no—
742D4×C29—81no—
743D4×C29—81no—
744D4×C29—81no—
745D4×C29—81no—
746D4×C29—81no—
747D4×C29—81no—
748D4×C29—81no—
749D4×C29—81no—
750D4×C29—81no—
751D4×C29—81no—
752D4×C29—81no—
753D4×C29—81no—
754C2×C4×C29—21no—
755C2×C4×C29—21no—
756C2×C4×C29—21no—
757C2×C4×C29—21no—
758C2×C4×C29—21no—
759C2×C4×C29—21no—
760C2×C4×C29—21no—
761C2×C4×C29—21no—
762C2×C4×C29—21no—
763C2×C4×C29—21no—
764C2×C4×C29—21no—
765C2×C4×C29—21no—
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—41no—
774C2×C4×C29—41no—
775C2×C4×C29—42no—
776C2×C4×C29—42no—
777C2×C4×C29—42no—
778C2×C4×C29—42no—
779C2×C4×C29—81no—
780C2×C4×C29—81no—
781C2×C4×C29—81no—
782C2×C4×C29—81no—
783C2×C4×C29—81no—
784C2×C4×C29—81no—
785C2×C4×C29—81no—
786C2×C4×C29—81no—
787C2×C4×C29C22×D411yescharacteristic
788C2×C4×C29C22×D411yescharacteristic
789C2×C4×C29C22×D411yescharacteristic
790C2×C4×C29C22×D411yescharacteristic
791C2×C4×C29C22×D411yescharacteristic
792C2×C4×C29C22×D411yescharacteristic
793C2×C4×C29C22×D411yescharacteristic
794C2×C4×C29C22×D411yescharacteristic
795C2×C4×C29C22×D411yescharacteristic
796C2×C4×C29C22×D411yescharacteristic
797C2×C4×C29C22×D411yescharacteristic
798C2×C4×C29C2511yescharacteristic
799C8×C29—21no—
800C8×C29—21no—
801C8×C29—21no—
802C8×C29—21no—
803C8×C29—21no—
804C8×C29—21no—
805C8×C29—21no—
806C8×C29—21no—
807#3562C2×C2911yescharacteristic
808#3523C2×C2911yescharacteristic, complemented
809#3400C2×C2911yescharacteristic, complemented
810#3398C2×C2911yescharacteristic, complemented
811#3377C2×C2911yescharacteristic, complemented
812#3371C2×C2911yescharacteristic, complemented
813#3327C2×C2911yescharacteristic, complemented
814#3323C2×C2911yescharacteristic, complemented
815#3317C2×C2911yescharacteristic, complemented
816#3315C2×C2911yescharacteristic, complemented
817#3313C2×C2911yescharacteristic, complemented
818#3311C2×C2911yescharacteristic, complemented
819#3278C2×C2911yescharacteristic, complemented
820#3276C2×C2911yescharacteristic, complemented
821#3270C2×C2911yescharacteristic, complemented
822#3270C2×C2911yescharacteristic, complemented
823#3266C2×C2911yescharacteristic, complemented
824#3266C2×C2911yescharacteristic, complemented
825#3261C2×C2911yescharacteristic, complemented
826#3260C2×C2911yescharacteristic, complemented
827#3252C2×C2911yescharacteristic, complemented
828#3223C2×C2911yescharacteristic, complemented
829#3222C2×C2911yescharacteristic, complemented
830#3216C2×C2911yescharacteristic, complemented
831#3127C2×C2911yescharacteristic, complemented
832#3126C2×C2911yescharacteristic, complemented
833#3117C2×C2911yescharacteristic, complemented
834#3044C2×C2911yescharacteristic, complemented
835#3043C2×C2911yescharacteristic, complemented
836#3037C2×C2911yescharacteristic, complemented
837#2995C2×C2911yescharacteristic, complemented
838C22×C29—21no—
839C22×C29—21no—
840C22×C29—21no—
841C22×C29—21no—
842C22×C29—21no—
843C22×C29—21no—
844C22×C29—21no—
845C22×C29—21no—
846C22×C29—21no—
847C22×C29—41no—
848C22×C29—41no—
849C22×C29—41no—
850C22×C29—41no—
851C22×C29—41no—
852C22×C29—41no—
853C22×C29—41no—
854C22×C29—41no—
855C22×C29—41no—
856C22×C29—162no—
857C22×C29C23×D411yescharacteristic
858C4×C29—21no—
859C4×C29—21no—
860C4×C29—21no—
861C4×C29—21no—
862C4×C29—21no—
863C4×C29—21no—
864C4×C29—21no—
865C4×C29—21no—
866C4×C29—21no—
867C4×C29—21no—
868C4×C29—21no—
869C4×C29—22no—
870C4×C29—41no—
871C4×C29—41no—
872C4×C29—41no—
873C4×C29—41no—
874C4×C29—41no—
875C4×C29—41no—
876C4×C29—41no—
877C4×C29—41no—
878C4×C29—41no—
879C4×C29—41no—
880C4×C29—41no—
881C4×C29—41no—
882C4×C29C2×H(5,𝔽2)11yescharacteristic
883C4×C29#58511yescharacteristic
884C2×#137C22×C2911yescharacteristic
885C2×#137C22×C2911yescharacteristic
886C2×#137C22×C2911yescharacteristic
887C2×#137C22×C2911yescharacteristic, complemented
888C22×Q16C22×C2911yescharacteristic, complemented
889C22×SD16C22×C2911yescharacteristic
890#562—21no—
891#560—21no—
892#559C22×C2911yescharacteristic
893#557—21no—
894#557C22×C2911yescharacteristic, complemented
895#557C22×C2911yescharacteristic, complemented
896#556—21no—
897#556C22×C2911yescharacteristic
898#556C22×C2911yescharacteristic
899#553—21no—
900#552—21no—
901#552—21no—
902#552C22×C2911yescharacteristic
903#552C22×C2911yescharacteristic, complemented
904#551—21no—
905#550C22×C2911yescharacteristic
906D4×Q8C22×C2911yescharacteristic
907D4×Q8C22×C2911yescharacteristic
908D4×Q8C22×C2911yescharacteristic, complemented
909#548C22×C2911yescharacteristic
910#548C22×C2911yescharacteristic
911#547C22×C2911yescharacteristic
912#546C22×C2911yescharacteristic
913#546C22×C2911yescharacteristic
914#541—21no—
915#541—21no—
916#541C22×C2911yescharacteristic
917#541C22×C2911yescharacteristic
918#541C22×C2911yescharacteristic, complemented
919#540—21no—
920#540C22×C2911yescharacteristic
921#539—21no—
922#538—21no—
923#538—21no—
924#536C22×C2911yescharacteristic
925#535C22×C2911yescharacteristic
926#533—21no—
927#533C22×C2911yescharacteristic, complemented
928#532C22×C2911yescharacteristic
929#529—21no—
930#529C22×C2911yescharacteristic
931#529C22×C2911yescharacteristic
932#519C22×C2911yescharacteristic
933#519C22×C2911yescharacteristic, complemented
934C2×C4×Q8C22×C2911yescharacteristic, complemented
935#497C22×C2911yescharacteristic
936#497C22×C2911yescharacteristic
937#497C22×C2911yescharacteristic
938#497C22×C2911yescharacteristic, complemented
939#494C22×C2911yescharacteristic, complemented
940#492C22×C2911yescharacteristic
941#491C22×C2911yescharacteristic, complemented
942#490C22×C2911yescharacteristic
943#489C22×C2911yescharacteristic
944#489C22×C2911yescharacteristic, complemented
945#488C22×C2911yescharacteristic
946#488C22×C2911yescharacteristic
947#485C22×C2911yescharacteristic
948#485C22×C2911yescharacteristic
949#484C22×C2911yescharacteristic, complemented
950#482C22×C2911yescharacteristic
951#482C22×C2911yescharacteristic, complemented
952#481C22×C2911yescharacteristic
953#479C22×C2911yescharacteristic, complemented
954#479C22×C2911yescharacteristic, complemented
955#479C22×C2911yescharacteristic, complemented
956#479C22×C2911yescharacteristic, complemented
957#479C22×C2911yescharacteristic, complemented
958#479C22×C2911yescharacteristic, complemented
959#478C22×C2911yescharacteristic
960#478C22×C2911yescharacteristic, complemented
961#477C22×C2911yescharacteristic, complemented
962#476C22×C2911yescharacteristic
963#470C22×C2911yescharacteristic
964#470C22×C2911yescharacteristic
965#470C22×C2911yescharacteristic, complemented
966#470C22×C2911yescharacteristic, complemented
967#468C22×C2911yescharacteristic
968#468C22×C2911yescharacteristic
969#468C22×C2911yescharacteristic
970#468C22×C2911yescharacteristic, complemented
971#467C22×C2911yescharacteristic
972#467C22×C2911yescharacteristic
973#465C22×C2911yescharacteristic
974#465C22×C2911yescharacteristic, complemented
975#464C22×C2911yescharacteristic
976#464C22×C2911yescharacteristic
977#464C22×C2911yescharacteristic
978#464C22×C2911yescharacteristic
979#464C22×C2911yescharacteristic
980#464C22×C2911yescharacteristic
981#464C22×C2911yescharacteristic
982#464C22×C2911yescharacteristic
983#464C22×C2911yescharacteristic
984#464C22×C2911yescharacteristic
985#464C22×C2911yescharacteristic, complemented
986#464C22×C2911yescharacteristic, complemented
987#462C22×C2911yescharacteristic, complemented
988#462C22×C2911yescharacteristic, complemented
989#462C22×C2911yescharacteristic, complemented
990#462C22×C2911yescharacteristic, complemented
991#462C22×C2911yescharacteristic, complemented
992#462C22×C2911yescharacteristic, complemented
993#462C22×C2911yescharacteristic, complemented
994#462C22×C2911yescharacteristic, complemented
995#462C22×C2911yescharacteristic, complemented
996#461C22×C2911yescharacteristic
997#461C22×C2911yescharacteristic
998#461C22×C2911yescharacteristic, complemented
999#460C22×C2911yescharacteristic
1000#460C22×C2911yescharacteristic
1001#460C22×C2911yescharacteristic
1002#460C22×C2911yescharacteristic
1003#460C22×C2911yescharacteristic
1004#460C22×C2911yescharacteristic
1005#452C22×C2911yescharacteristic
1006#452C22×C2911yescharacteristic
1007#452C22×C2911yescharacteristic
1008#452C22×C2911yescharacteristic
1009#452C22×C2911yescharacteristic
1010#452C22×C2911yescharacteristic
1011#452C22×C2911yescharacteristic, complemented
1012#452C22×C2911yescharacteristic, complemented
1013#451C22×C2911yescharacteristic
1014#451C22×C2911yescharacteristic
1015#451C22×C2911yescharacteristic, complemented
1016#451C22×C2911yescharacteristic, complemented
1017#451C22×C2911yescharacteristic, complemented
1018#450C22×C2911yescharacteristic
1019#450C22×C2911yescharacteristic
1020#448C22×C2911yescharacteristic
1021#448C22×C2911yescharacteristic
1022#448C22×C2911yescharacteristic, complemented
1023#446C22×C2911yescharacteristic, complemented
1024#446C22×C2911yescharacteristic, complemented
1025#441C22×C2911yescharacteristic, complemented
1026#441C22×C2911yescharacteristic, complemented
1027#441C22×C2911yescharacteristic, complemented
1028#441C22×C2911yescharacteristic, complemented
1029#440C22×C2911yescharacteristic
1030#440C22×C2911yescharacteristic
1031#440C22×C2911yescharacteristic
1032#440C22×C2911yescharacteristic, complemented
1033C4×Q16C22×C2911yescharacteristic, complemented
1034C4×Q16C22×C2911yescharacteristic, complemented
1035C4×SD16C22×C2911yescharacteristic
1036C4×SD16C22×C2911yescharacteristic, complemented
1037#436C22×C2911yescharacteristic
1038#436C22×C2911yescharacteristic, complemented
1039#435C22×C2911yescharacteristic
1040#435C22×C2911yescharacteristic
1041#435C22×C2911yescharacteristic
1042#435C22×C2911yescharacteristic, complemented
1043#433C22×C2911yescharacteristic
1044#433C22×C2911yescharacteristic, complemented
1045#432C22×C2911yescharacteristic, complemented
1046#424C22×C2911yescharacteristic
1047#424C22×C2911yescharacteristic, complemented
1048#423C22×C2911yescharacteristic, complemented
1049#419C22×C2911yescharacteristic, complemented
1050#418C22×C2911yescharacteristic
1051#417C22×C2911yescharacteristic
1052#417C22×C2911yescharacteristic, complemented
1053#416C22×C2911yescharacteristic
1054#416C22×C2911yescharacteristic
1055C2×C29—41no—
1056C2×C29—41no—
1057C2×C29—41no—
1058C2×C29—81no—
1059C2×C29—81no—
1060C2×C29—81no—
1061C2×C29#348811yescharacteristic
1062C2×C29#358611yescharacteristic
1063C2×C29#358611yescharacteristic
1064C2×#41C23×C2911yescharacteristic
1065C2×#41C23×C2911yescharacteristic
1066C2×#41C23×C2911yescharacteristic
1067C2×#41C23×C2911yescharacteristic
1068C22×Q8C23×C2911yescharacteristic
1069C22×Q8C23×C2911yescharacteristic
1070C22×Q8C23×C2911yescharacteristic
1071C22×Q8C23×C2911yescharacteristic
1072C22×D4C23×C2911yescharacteristic
1073#137—42no—
1074#137—42no—
1075#137—42no—
1076#137—42no—
1077C2×Q16—42no—
1078C2×Q16C23×C2911yescharacteristic
1079C2×Q16C23×C2911yescharacteristic
1080C2×Q16C23×C2911yescharacteristic
1081C2×Q16C23×C2911yescharacteristic
1082C2×Q16C23×C2911yescharacteristic
1083C2×Q16C23×C2911yescharacteristic
1084C2×Q16C23×C2911yescharacteristic
1085C2×Q16C23×C2911yescharacteristic
1086C2×Q16C23×C2911yescharacteristic
1087C2×Q16C23×C2911yescharacteristic
1088C2×Q16C23×C2911yescharacteristic
1089C2×Q16C23×C2911yescharacteristic
1090C2×SD16—42no—
1091C2×SD16C23×C2911yescharacteristic
1092C2×SD16C23×C2911yescharacteristic
1093C2×SD16C23×C2911yescharacteristic
1094C2×SD16C23×C2911yescharacteristic
1095C2×SD16C23×C2911yescharacteristic
1096C2×SD16C23×C2911yescharacteristic
1097C2×SD16C23×C2911yescharacteristic
1098C2×SD16C23×C2911yescharacteristic
1099C2×SD16C23×C2911yescharacteristic
1100C2×SD16C23×C2911yescharacteristic
1101C2×SD16C23×C2911yescharacteristic
1102C2×SD16C23×C2911yescharacteristic
1103C2×M16C23×C2911yescharacteristic
1104C2×M16C23×C2911yescharacteristic
1105C2×M16C23×C2911yescharacteristic
1106C2×M16C23×C2911yescharacteristic
1107C22×C8C23×C2911yescharacteristic
1108C22×C8C23×C2911yescharacteristic
1109C4⋊Q8—21no—
1110C4⋊Q8—21no—
1111C4⋊Q8—21no—
1112C4⋊Q8—21no—
1113C4⋊Q8C23×C2911yescharacteristic
1114C4⋊Q8C23×C2911yescharacteristic
1115C4⋊Q8C23×C2911yescharacteristic
1116C4⋊Q8C23×C2911yescharacteristic
1117C4⋊Q8C23×C2911yescharacteristic
1118C4⋊Q8C23×C2911yescharacteristic
1119#127—21no—
1120#127C23×C2911yescharacteristic
1121#127C23×C2911yescharacteristic
1122#126—21no—
1123#126—21no—
1124#126—21no—
1125#126—21no—
1126#126—21no—
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—21no—
1133#126—21no—
1134#126—21no—
1135#126D4×C2911yescharacteristic
1136#126D4×C2911yescharacteristic
1137#125—21no—
1138#125—21no—
1139#125—21no—
1140#125—21no—
1141#125—21no—
1142#125—21no—
1143#125—21no—
1144#125—21no—
1145#125—21no—
1146#125—21no—
1147#125—21no—
1148#125—21no—
1149#125—21no—
1150#125—21no—
1151#125D4×C2911yescharacteristic
1152#125C23×C2911yescharacteristic
1153#125C23×C2911yescharacteristic
1154#125C23×C2911yescharacteristic
1155#124—21no—
1156#124—21no—
1157#124—21no—
1158#124—21no—
1159#124D4×C2911yescharacteristic
1160#124C23×C2911yescharacteristic
1161#124C23×C2911yescharacteristic
1162#124C23×C2911yescharacteristic
1163#124C23×C2911yescharacteristic
1164#124C23×C2911yescharacteristic
1165#123—21no—
1166#123—21no—
1167#123—21no—
1168#123—21no—
1169#123—21no—
1170#123—21no—
1171#123—21no—
1172#123—21no—
1173#123—21no—
1174#123—21no—
1175#123—21no—
1176#123—21no—
1177#123—21no—
1178#123D4×C2911yescharacteristic
1179#123D4×C2911yescharacteristic
1180C22⋊Q8—21no—
1181C22⋊Q8—21no—
1182C22⋊Q8—21no—
1183C22⋊Q8—21no—
1184C22⋊Q8—21no—
1185C22⋊Q8—21no—
1186C22⋊Q8—21no—
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—21no—
1192C22⋊Q8D4×C2911yescharacteristic
1193C22⋊Q8C23×C2911yescharacteristic
1194C22⋊Q8C23×C2911yescharacteristic
1195C22⋊Q8C23×C2911yescharacteristic
1196C22⋊Q8C23×C2911yescharacteristic
1197C22⋊Q8C23×C2911yescharacteristic
1198C22⋊Q8C23×C2911yescharacteristic
1199C22⋊Q8C23×C2911yescharacteristic
1200C22⋊Q8C23×C2911yescharacteristic
1201C22⋊Q8C23×C2911yescharacteristic
1202#121—21no—
1203#121—21no—
1204#121—21no—
1205#121—21no—
1206#121—21no—
1207#121—21no—
1208#121—21no—
1209#121—21no—
1210#121—21no—
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121—21no—
1215#121D4×C2911yescharacteristic
1216#121C23×C2911yescharacteristic
1217#121C23×C2911yescharacteristic
1218#121C23×C2911yescharacteristic
1219#120—21no—
1220#120—21no—
1221#120—21no—
1222#120—21no—
1223C4×Q8—21no—
1224C4×Q8—21no—
1225C4×Q8—21no—
1226C4×Q8—21no—
1227C4×Q8—21no—
1228C4×Q8—21no—
1229C4×Q8—21no—
1230C4×Q8—21no—
1231C4×Q8—21no—
1232C4×Q8—21no—
1233C4×Q8C23×C2911yescharacteristic
1234C4×Q8C23×C2911yescharacteristic
1235C4×Q8C23×C2911yescharacteristic
1236C4×Q8C23×C2911yescharacteristic
1237C4×Q8C23×C2911yescharacteristic
1238C4×Q8C23×C2911yescharacteristic
1239C4×Q8C23×C2911yescharacteristic
1240C4×Q8C23×C2911yescharacteristic
1241C4×Q8C23×C2911yescharacteristic
1242C4×Q8C23×C2911yescharacteristic
1243C4×Q8C23×C2911yescharacteristic
1244C4×Q8C23×C2911yescharacteristic
1245C4×Q8C23×C2911yescharacteristic
1246C4×Q8C23×C2911yescharacteristic
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4—21no—
1251C4×D4—21no—
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4C23×C2911yescharacteristic
1258C4×D4C23×C2911yescharacteristic
1259C4×D4C23×C2911yescharacteristic
1260C4×D4C23×C2911yescharacteristic
1261C4×D4C23×C2911yescharacteristic
1262C4×D4C23×C2911yescharacteristic
1263#117—21no—
1264#117—21no—
1265#117—21no—
1266#117—21no—
1267#117—21no—
1268#117—21no—
1269#117—21no—
1270#117—21no—
1271#117—21no—
1272#117C23×C2911yescharacteristic
1273#117C23×C2911yescharacteristic
1274#117C23×C2911yescharacteristic
1275#117C23×C2911yescharacteristic
1276C2×C4⋊C4—21no—
1277C2×C4⋊C4—21no—
1278C2×C4⋊C4C23×C2911yescharacteristic
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—21no—
1281C2×C42—21no—
1282C2×C42C23×C2911yescharacteristic
1283#107C23×C2911yescharacteristic
1284#107C23×C2911yescharacteristic
1285#107C23×C2911yescharacteristic
1286#107C23×C2911yescharacteristic
1287#106C23×C2911yescharacteristic
1288#106C23×C2911yescharacteristic
1289#106C23×C2911yescharacteristic
1290#106C23×C2911yescharacteristic
1291C4⋊C8C23×C2911yescharacteristic
1292C4⋊C8C23×C2911yescharacteristic
1293C4⋊C8C23×C2911yescharacteristic
1294C4⋊C8C23×C2911yescharacteristic
1295C4⋊C8C23×C2911yescharacteristic
1296C4⋊C8C23×C2911yescharacteristic
1297C4⋊C8C23×C2911yescharacteristic
1298C4⋊C8C23×C2911yescharacteristic
1299C4⋊C8C23×C2911yescharacteristic
1300C4⋊C8C23×C2911yescharacteristic
1301#103C23×C2911yescharacteristic
1302#103C23×C2911yescharacteristic
1303#103C23×C2911yescharacteristic
1304#103C23×C2911yescharacteristic
1305#103C23×C2911yescharacteristic
1306#103C23×C2911yescharacteristic
1307#103C23×C2911yescharacteristic
1308#103C23×C2911yescharacteristic
1309#103C23×C2911yescharacteristic
1310#103C23×C2911yescharacteristic
1311#103C23×C2911yescharacteristic
1312#103C23×C2911yescharacteristic
1313#103C23×C2911yescharacteristic
1314#103C23×C2911yescharacteristic
1315#103C23×C2911yescharacteristic
1316#103C23×C2911yescharacteristic
1317#103C23×C2911yescharacteristic
1318#103C23×C2911yescharacteristic
1319#103C23×C2911yescharacteristic
1320#103C23×C2911yescharacteristic
1321#102C23×C2911yescharacteristic
1322#102C23×C2911yescharacteristic
1323#102C23×C2911yescharacteristic
1324#102C23×C2911yescharacteristic
1325#102C23×C2911yescharacteristic
1326#102C23×C2911yescharacteristic
1327#102C23×C2911yescharacteristic
1328#102C23×C2911yescharacteristic
1329#102C23×C2911yescharacteristic
1330#102C23×C2911yescharacteristic
1331#102C23×C2911yescharacteristic
1332#102C23×C2911yescharacteristic
1333C22⋊C8C23×C2911yescharacteristic
1334C22⋊C8C23×C2911yescharacteristic
1335C22⋊C8C23×C2911yescharacteristic
1336C22⋊C8C23×C2911yescharacteristic
1337C22⋊C8C23×C2911yescharacteristic
1338C22⋊C8C23×C2911yescharacteristic
1339#97C23×C2911yescharacteristic
1340#97C23×C2911yescharacteristic
1341#97C23×C2911yescharacteristic
1342#97C23×C2911yescharacteristic
1343C4×C8C23×C2911yescharacteristic
1344C4×C8C23×C2911yescharacteristic
1345C29#6207711yescharacteristic, direct product factor, Sylow
1346C24—21no—
1347#41—41no—
1348#41—41no—
1349#41—41no—
1350#41—41no—
1351#41—41no—
1352#41—41no—
1353#41—41no—
1354#41—41no—
1355C2×Q8—21no—
1356C2×Q8—21no—
1357C2×Q8—21no—
1358C2×Q8—21no—
1359C2×Q8—21no—
1360C2×Q8—22no—
1361C2×Q8—22no—
1362C2×Q8—22no—
1363C2×Q8—41no—
1364C2×Q8—41no—
1365C2×Q8—41no—
1366C2×Q8—41no—
1367C2×Q8—41no—
1368C2×Q8C2×D4×C2911yescharacteristic
1369C2×Q8C24×C2911yescharacteristic
1370C2×Q8C24×C2911yescharacteristic
1371C2×Q8C24×C2911yescharacteristic
1372C2×Q8C24×C2911yescharacteristic
1373C2×Q8C24×C2911yescharacteristic
1374C2×Q8C24×C2911yescharacteristic
1375C2×Q8C24×C2911yescharacteristic
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4C2×D4×C2911yescharacteristic
1391C2×D4C2×D4×C2911yescharacteristic
1392C2×D4C2×D4×C2911yescharacteristic
1393C2×D4C24×C2911yescharacteristic
1394C2×D4C24×C2911yescharacteristic
1395C2×D4C24×C2911yescharacteristic
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4C2×D4×C2911yescharacteristic
1409C22×C4C2×D4×C2911yescharacteristic
1410C22×C4C24×C2911yescharacteristic
1411C22×C4C24×C2911yescharacteristic
1412C22×C4C24×C2911yescharacteristic
1413Q16—22no—
1414Q16—22no—
1415Q16—22no—
1416Q16—41no—
1417Q16—41no—
1418Q16—41no—
1419Q16—41no—
1420Q16—41no—
1421Q16—41no—
1422Q16—41no—
1423Q16—41no—
1424Q16—41no—
1425SD16—22no—
1426SD16—22no—
1427SD16—22no—
1428SD16—41no—
1429SD16—41no—
1430SD16—41no—
1431SD16—41no—
1432SD16—41no—
1433SD16—41no—
1434SD16—41no—
1435SD16—41no—
1436SD16—41no—
1437M16—41no—
1438M16—41no—
1439M16—41no—
1440M16—41no—
1441C2×C8—41no—
1442C2×C8—41no—
1443C2×C8C24×C2911yescharacteristic
1444C2×C8C24×C2911yescharacteristic
1445C2×C8C24×C2911yescharacteristic
1446C2×C8C24×C2911yescharacteristic
1447C2×C8C24×C2911yescharacteristic
1448C2×C8C24×C2911yescharacteristic
1449C2×C8C24×C2911yescharacteristic
1450C2×C8C24×C2911yescharacteristic
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4C2×D4×C2911yescharacteristic
1492C4⋊C4C2×D4×C2911yescharacteristic
1493C4⋊C4C2×D4×C2911yescharacteristic
1494C4⋊C4C2×D4×C2911yescharacteristic
1495C4⋊C4C2×D4×C2911yescharacteristic
1496C4⋊C4C2×D4×C2911yescharacteristic
1497C4⋊C4C2×D4×C2911yescharacteristic
1498C4⋊C4C2×D4×C2911yescharacteristic
1499C4⋊C4C2×D4×C2911yescharacteristic
1500C4⋊C4C2×D4×C2911yescharacteristic
1501C4⋊C4C24×C2911yescharacteristic
1502C4⋊C4C24×C2911yescharacteristic
1503C4⋊C4C24×C2911yescharacteristic
1504C4⋊C4C24×C2911yescharacteristic
1505C4⋊C4C24×C2911yescharacteristic
1506C4⋊C4C24×C2911yescharacteristic
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4C2×D4×C2911yescharacteristic
1535C22⋊C4C2×D4×C2911yescharacteristic
1536C22⋊C4C2×D4×C2911yescharacteristic
1537C22⋊C4C2×D4×C2911yescharacteristic
1538C22⋊C4C2×D4×C2911yescharacteristic
1539C22⋊C4C2×D4×C2911yescharacteristic
1540C22⋊C4C2×D4×C2911yescharacteristic
1541C22⋊C4C2×D4×C2911yescharacteristic
1542C22⋊C4C2×D4×C2911yescharacteristic
1543C22⋊C4C2×D4×C2911yescharacteristic
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—21no—
1551C42—21no—
1552C42—21no—
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42C2×D4×C2911yescharacteristic
1560C42C2×D4×C2911yescharacteristic
1561C42C24×C2911yescharacteristic
1562C42C24×C2911yescharacteristic
1563C42C24×C2911yescharacteristic
1564C42C24×C2911yescharacteristic
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—81no—
1569C23—81no—
1570C23—81no—
1571C23C22×D4×C2911yescharacteristic
1572C23C22×D4×C2911yescharacteristic
1573C23C22×D4×C2911yescharacteristic
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—41no—
1588Q8—42no—
1589Q8—42no—
1590Q8—42no—
1591Q8—42no—
1592Q8—81no—
1593Q8C29×H(5,𝔽2)12yes—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—41no—
1601D4—41no—
1602D4—41no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—42no—
1637C2×C4—42no—
1638C2×C4—42no—
1639C2×C4—42no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4C22×D4×C2911yescharacteristic
1649C2×C4C22×D4×C2911yescharacteristic
1650C2×C4C22×D4×C2911yescharacteristic
1651C2×C4C22×D4×C2911yescharacteristic
1652C2×C4C22×D4×C2911yescharacteristic
1653C2×C4C22×D4×C2911yescharacteristic
1654C2×C4C22×D4×C2911yescharacteristic
1655C2×C4C22×D4×C2911yescharacteristic
1656C2×C4C22×D4×C2911yescharacteristic
1657C2×C4C22×D4×C2911yescharacteristic
1658C2×C4C22×D4×C2911yescharacteristic
1659C2×C4C25×C2911yescharacteristic
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—21no—
1665C8—21no—
1666C8—21no—
1667C8—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—21no—
1676C22—21no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—162no—
1687C22C23×D4×C2911yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—22no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4C2×C29×H(5,𝔽2)11yescharacteristic
1713C4C29×#58511yescharacteristic
1714C2—41no—
1715C2—41no—
1716C2—41no—
1717C2—81no—
1718C2—81no—
1719C2—81no—
1720C2C29×#348811yescharacteristic
1721C2C29×#358611yescharacteristic
1722C2C29×#358611yescharacteristic
subgroupG/H
center, socleC22×C29C23×D4
commutator, Frattini, cosocleC2×C4C25×C29
prime radicalC29×#3562C2
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
2. C29×#3523C2semidirect
3. C29×#3400C2semidirect
4. C29×#3398C2semidirect
5. C29×#3377C2semidirect
6. C29×#3371C2semidirect
7. C29×#3327C2semidirect
8. C29×#3323C2semidirect
9. C29×#3317C2semidirect
10. C29×#3315C2semidirect
11. C29×#3313C2semidirect
12. C29×#3311C2semidirect
13. C29×#3278C2semidirect
14. C29×#3276C2semidirect
15. C29×#3270C2semidirect
16. C29×#3270C2semidirect
17. C29×#3266C2semidirect
18. C29×#3266C2semidirect
19. C29×#3261C2semidirect
20. C29×#3260C2semidirect
21. C29×#3252C2semidirect
22. C29×#3223C2semidirect
23. C29×#3222C2semidirect
24. C29×#3216C2semidirect
25. C29×#3127C2semidirect
26. C29×#3126C2semidirect
27. C29×#3117C2semidirect
28. C29×#3044C2semidirect
29. C29×#3043C2semidirect
30. C29×#3037C2semidirect
31. C29×#2995C2semidirect
35. C2×C29×#137C22semidirect
36. C22×Q16×C29C22semidirect
42. C29×#557C22semidirect
43. C29×#557C22semidirect
51. C29×#552C22semidirect
56. D4×Q8×C29C22semidirect
66. C29×#541C22semidirect
75. C29×#533C22semidirect
81. C29×#519C22semidirect
82. C2×C4×Q8×C29C22semidirect
86. C29×#497C22semidirect
87. C29×#494C22semidirect
89. C29×#491C22semidirect
92. C29×#489C22semidirect
97. C29×#484C22semidirect
99. C29×#482C22semidirect
101. C29×#479C22semidirect
102. C29×#479C22semidirect
103. C29×#479C22semidirect
104. C29×#479C22semidirect
105. C29×#479C22semidirect
106. C29×#479C22semidirect
108. C29×#478C22semidirect
109. C29×#477C22semidirect
113. C29×#470C22semidirect
114. C29×#470C22semidirect
118. C29×#468C22semidirect
122. C29×#465C22semidirect
133. C29×#464C22semidirect
134. C29×#464C22semidirect
135. C29×#462C22semidirect
136. C29×#462C22semidirect
137. C29×#462C22semidirect
138. C29×#462C22semidirect
139. C29×#462C22semidirect
140. C29×#462C22semidirect
141. C29×#462C22semidirect
142. C29×#462C22semidirect
143. C29×#462C22semidirect
146. C29×#461C22semidirect
159. C29×#452C22semidirect
160. C29×#452C22semidirect
163. C29×#451C22semidirect
164. C29×#451C22semidirect
165. C29×#451C22semidirect
170. C29×#448C22semidirect
171. C29×#446C22semidirect
172. C29×#446C22semidirect
173. C29×#441C22semidirect
174. C29×#441C22semidirect
175. C29×#441C22semidirect
176. C29×#441C22semidirect
180. C29×#440C22semidirect
181. C4×Q16×C29C22semidirect
182. C4×Q16×C29C22semidirect
184. C4×SD16×C29C22semidirect
186. C29×#436C22semidirect
190. C29×#435C22semidirect
192. C29×#433C22semidirect
193. C29×#432C22semidirect
195. C29×#424C22semidirect
196. C29×#423C22semidirect
197. C29×#419C22semidirect
200. C29×#417C22semidirect
703. #62077C29direct (N × H)
808. #3523C2×C29semidirect
809. #3400C2×C29semidirect
810. #3398C2×C29semidirect
811. #3377C2×C29semidirect
812. #3371C2×C29semidirect
813. #3327C2×C29semidirect
814. #3323C2×C29semidirect
815. #3317C2×C29semidirect
816. #3315C2×C29semidirect
817. #3313C2×C29semidirect
818. #3311C2×C29semidirect
819. #3278C2×C29semidirect
820. #3276C2×C29semidirect
821. #3270C2×C29semidirect
822. #3270C2×C29semidirect
823. #3266C2×C29semidirect
824. #3266C2×C29semidirect
825. #3261C2×C29semidirect
826. #3260C2×C29semidirect
827. #3252C2×C29semidirect
828. #3223C2×C29semidirect
829. #3222C2×C29semidirect
830. #3216C2×C29semidirect
831. #3127C2×C29semidirect
832. #3126C2×C29semidirect
833. #3117C2×C29semidirect
834. #3044C2×C29semidirect
835. #3043C2×C29semidirect
836. #3037C2×C29semidirect
837. #2995C2×C29semidirect
887. C2×#137C22×C29semidirect
888. C22×Q16C22×C29semidirect
894. #557C22×C29semidirect
895. #557C22×C29semidirect
903. #552C22×C29semidirect
908. D4×Q8C22×C29semidirect
918. #541C22×C29semidirect
927. #533C22×C29semidirect
933. #519C22×C29semidirect
934. C2×C4×Q8C22×C29semidirect
938. #497C22×C29semidirect
939. #494C22×C29semidirect
941. #491C22×C29semidirect
944. #489C22×C29semidirect
949. #484C22×C29semidirect
951. #482C22×C29semidirect
953. #479C22×C29semidirect
954. #479C22×C29semidirect
955. #479C22×C29semidirect
956. #479C22×C29semidirect
957. #479C22×C29semidirect
958. #479C22×C29semidirect
960. #478C22×C29semidirect
961. #477C22×C29semidirect
965. #470C22×C29semidirect
966. #470C22×C29semidirect
970. #468C22×C29semidirect
974. #465C22×C29semidirect
985. #464C22×C29semidirect
986. #464C22×C29semidirect
987. #462C22×C29semidirect
988. #462C22×C29semidirect
989. #462C22×C29semidirect
990. #462C22×C29semidirect
991. #462C22×C29semidirect
992. #462C22×C29semidirect
993. #462C22×C29semidirect
994. #462C22×C29semidirect
995. #462C22×C29semidirect
998. #461C22×C29semidirect
1011. #452C22×C29semidirect
1012. #452C22×C29semidirect
1015. #451C22×C29semidirect
1016. #451C22×C29semidirect
1017. #451C22×C29semidirect
1022. #448C22×C29semidirect
1023. #446C22×C29semidirect
1024. #446C22×C29semidirect
1025. #441C22×C29semidirect
1026. #441C22×C29semidirect
1027. #441C22×C29semidirect
1028. #441C22×C29semidirect
1032. #440C22×C29semidirect
1033. C4×Q16C22×C29semidirect
1034. C4×Q16C22×C29semidirect
1036. C4×SD16C22×C29semidirect
1038. #436C22×C29semidirect
1042. #435C22×C29semidirect
1044. #433C22×C29semidirect
1045. #432C22×C29semidirect
1047. #424C22×C29semidirect
1048. #423C22×C29semidirect
1049. #419C22×C29semidirect
1052. #417C22×C29semidirect
1345. C29#62077direct (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×#35232
C29×#34002
C29×#33982
C29×#33772
C29×#33712
C29×#33272
C29×#33232
C29×#33172
C29×#33152
C29×#33132
C29×#33112
C29×#32782
C29×#32762
C29×#32702
C29×#32662
C29×#32612
C29×#32602
C29×#32522
C29×#32232
C29×#32222
C29×#32162
C29×#31272
C29×#31262
C29×#31172
C29×#30442
C29×#30432
C29×#30372
C29×#29952
#6207729