Finite Group Databasebeta

← C29×#34501 #20329401

Subgroups — C29×#34501 #20329401

Order 7424.

1924 conjugacy classes of subgroups.

The subgroup lattice has 1348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C29×#552C211yesmaximal, characteristic
2C29×#2383C211yesmaximal, characteristic, complemented
3C29×#2382C211yesmaximal, characteristic, complemented
4C29×#2378C211yesmaximal, characteristic, complemented
5C29×#2376C211yesmaximal, characteristic
6C29×#2374C211yesmaximal, characteristic
7C29×#2373C211yesmaximal, characteristic, complemented
8C29×#2371C211yesmaximal, characteristic, complemented
9C29×#2370C211yesmaximal, characteristic, complemented
10C29×#2368C211yesmaximal, characteristic, complemented
11C29×#2357C211yesmaximal, characteristic
12C29×#2355C211yesmaximal, characteristic, complemented
13C29×#2347C211yesmaximal, characteristic, complemented
14C29×#2346C211yesmaximal, characteristic, complemented
15C29×#2345C211yesmaximal, characteristic, complemented
16C29×#2343C211yesmaximal, characteristic, complemented
17C29×#2336C211yesmaximal, characteristic, complemented
18C29×#2336C211yesmaximal, characteristic, complemented
19C29×#2335C211yesmaximal, characteristic
20C29×#2335C211yesmaximal, characteristic
21C29×#2334C211yesmaximal, characteristic, complemented
22C29×#2334C211yesmaximal, characteristic, complemented
23C29×#2332C211yesmaximal, characteristic, complemented
24C29×#2332C211yesmaximal, characteristic, complemented
25C29×#2320C211yesmaximal, characteristic, complemented
26C29×#2318C211yesmaximal, characteristic
27C29×#2314C211yesmaximal, characteristic, complemented
28C29×#2313C211yesmaximal, characteristic, complemented
29C4×C29×#125C211yesmaximal, characteristic, complemented
30C29×#2298C211yesmaximal, characteristic, complemented
31C29×#2298C211yesmaximal, characteristic, complemented
32C29×#552C4116yescomplemented
33C2×C29×#126C2211yescharacteristic
34C2×C29×#126C2211yescharacteristic
35C2×C29×#125C2211yescharacteristic
36C2×C29×#125C2211yescharacteristic
37C2×C29×#125C2211yescharacteristic
38C2×C29×#123C2211yescharacteristic
39C2×C29×#123C2211yescharacteristic
40C2×C29×C22⋊Q8C2211yescharacteristic
41C2×C29×C22⋊Q8C2211yescharacteristic
42C2×C4×Q8×C29C2211yescharacteristic
43C2×C4×D4×C29C2211yescharacteristic
44C2×C29×#117C2211yescharacteristic
45C2×C29×#117C2211yescharacteristic
46C2×C29×#117C2211yescharacteristic
47C22×C4⋊C4×C29C2211yescharacteristic
48C29×#391C2211yescharacteristic
49C29×#391C2211yescharacteristic
50C29×#391C2211yescharacteristic
51C29×#391C2211yescharacteristic
52C29×#390C2211yescharacteristic
53C29×#390C2211yescharacteristic
54C29×#389C2211yescharacteristic
55C29×#389C2211yescharacteristic
56C29×#389C2211yescharacteristic
57C29×#389C2211yescharacteristic
58C29×#389C2211yescharacteristic
59C29×#389C2211yescharacteristic
60C29×#389C2211yescharacteristic
61C29×#389C2211yescharacteristic
62C29×#389C2211yescharacteristic
63C29×#389C2211yescharacteristic
64C29×#389C2211yescharacteristic
65C29×#389C2211yescharacteristic
66C29×#388C2211yescharacteristic
67C29×#388C2211yescharacteristic
68C29×#388C2211yescharacteristic
69C29×#388C2211yescharacteristic
70C29×#388C2211yescharacteristic
71C29×#388C2211yescharacteristic
72C29×#388C2211yescharacteristic
73C29×#388C2211yescharacteristic
74C29×#388C2211yescharacteristic
75C29×#388C2211yescharacteristic
76C29×#388C2211yescharacteristic
77C29×#388C2211yescharacteristic
78C29×#388C2211yescharacteristic
79C29×#388C2211yescharacteristic
80C29×#388C2211yescharacteristic
81C29×#388C2211yescharacteristic
82C29×#388C2211yescharacteristic
83C29×#388C2211yescharacteristic
84C29×#388C2211yescharacteristic
85C29×#388C2211yescharacteristic
86C29×#388C2211yescharacteristic
87C29×#388C2211yescharacteristic
88C29×#387C2211yescharacteristic
89C29×#387C2211yescharacteristic
90C29×#387C2211yescharacteristic
91C29×#387C2211yescharacteristic
92C29×#387C2211yescharacteristic
93C29×#387C2211yescharacteristic
94C29×#387C2211yescharacteristic
95C29×#387C2211yescharacteristic
96C29×#387C2211yescharacteristic
97C29×#387C2211yescharacteristic
98C29×#387C2211yescharacteristic
99C29×#387C2211yescharacteristic
100C29×#387C2211yescharacteristic
101C29×#387C2211yescharacteristic
102C29×#387C2211yescharacteristic
103C29×#387C2211yescharacteristic
104C29×#387C2211yescharacteristic
105C29×#387C2211yescharacteristic
106C29×#387C2211yescharacteristic
107C29×#387C2211yescharacteristic
108C29×#387C2211yescharacteristic
109C29×#387C2211yescharacteristic
110C29×#387C2211yescharacteristic
111C29×#387C2211yescharacteristic
112C29×#387C2211yescharacteristic
113C29×#387C2211yescharacteristic
114C29×#387C2211yescharacteristic
115C29×#387C2211yescharacteristic
116C29×#387C2211yescharacteristic
117C29×#387C2211yescharacteristic
118C29×#387C2211yescharacteristic
119C29×#387C2211yescharacteristic
120C29×#387C2211yescharacteristic
121C29×#387C2211yescharacteristic
122C29×#387C2211yescharacteristic
123C29×#387C2211yescharacteristic
124C29×#387C2211yescharacteristic
125C29×#387C2211yescharacteristic
126C29×#386C2211yescharacteristic
127C29×#386C2211yescharacteristic
128C29×#385C2211yescharacteristic
129C29×#385C2211yescharacteristic
130C29×#385C2211yescharacteristic
131C29×#385C2211yescharacteristic
132C29×#385C2211yescharacteristic
133C29×#385C2211yescharacteristic
134C29×#384C2211yescharacteristic
135C29×#383C2211yescharacteristic
136C29×#383C2211yescharacteristic
137C29×#383C2211yescharacteristic
138C29×#382C2211yescharacteristic
139C29×#382C2211yescharacteristic
140C29×#382C2211yescharacteristic
141C29×#382C2211yescharacteristic
142C29×#382C2211yescharacteristic
143C29×#381C2211yescharacteristic
144C29×#381C2211yescharacteristic
145C29×#381C2211yescharacteristic
146C29×#380C2211yescharacteristic
147C29×#380C2211yescharacteristic
148C29×#380C2211yescharacteristic
149C29×#380C2211yescharacteristic
150C29×#380C2211yescharacteristic
151C4×C4⋊C4×C29C2211yescharacteristic
152C4×C4⋊C4×C29C2211yescharacteristic
153C4×C4⋊C4×C29C2211yescharacteristic
154C4×C4⋊C4×C29C2211yescharacteristic
155C4×C4⋊C4×C29C2211yescharacteristic
156C4×C4⋊C4×C29C2211yescharacteristic
157C4×C4⋊C4×C29C2211yescharacteristic
158C4×C4⋊C4×C29C2211yescharacteristic
159C4×C4⋊C4×C29C2211yescharacteristic
160C4×C4⋊C4×C29C2211yescharacteristic
161C4×C4⋊C4×C29C2211yescharacteristic
162C4×C4⋊C4×C29C2211yescharacteristic
163C4×C4⋊C4×C29C2211yescharacteristic
164C4×C4⋊C4×C29C2211yescharacteristic
165C4×C4⋊C4×C29C2211yescharacteristic
166C4×C4⋊C4×C29C2211yescharacteristic
167C4×C4⋊C4×C29C2211yescharacteristic
168C4×C4⋊C4×C29C2211yescharacteristic
169C4×C4⋊C4×C29C2211yescharacteristic
170C4×C4⋊C4×C29C2211yescharacteristic
171C4×C4⋊C4×C29C2211yescharacteristic
172C4×C22⋊C4×C29C2211yescharacteristic
173C4×C22⋊C4×C29C2211yescharacteristic
174C4×C22⋊C4×C29C2211yescharacteristic
175C4×C22⋊C4×C29C2211yescharacteristic
176C4×C22⋊C4×C29C2211yescharacteristic
177C4×C22⋊C4×C29C2211yescharacteristic
178C4×C22⋊C4×C29C2211yescharacteristic
179C4×C22⋊C4×C29C2211yescharacteristic
180C4×C22⋊C4×C29C2211yescharacteristic
181C4×C22⋊C4×C29C2211yescharacteristic
182C4×C22⋊C4×C29C2211yescharacteristic
183C29×#376C2211yescharacteristic
184C29×#376C2211yescharacteristic
185C29×#376C2211yescharacteristic
186C2×C29×#95C2211yescharacteristic
187C43×C29C2211yescharacteristic
188C22×Q8×C29C2311yescharacteristic
189C22×D4×C29C2311yescharacteristic
190C23×C4×C29C2311yescharacteristic
191C23×C4×C29C2311yescharacteristic
192C23×C4×C29C2311yescharacteristic
193C23×C4×C29C2311yescharacteristic
194C23×C4×C29C2311yescharacteristic
195C23×C4×C29C2311yescharacteristic
196C29×#126C2×C418yes—
197C29×#126C2×C418yes—
198C29×#125C2×C418yescomplemented
199C29×#125C2×C418yescomplemented
200C29×#125C2×C418yescomplemented
201C29×#123C2×C418yes—
202C29×#123C2×C418yes—
203C29×C22⋊Q8C2×C418yes—
204C29×C22⋊Q8C2×C418yescomplemented
205C4×Q8×C29C2×C418yescomplemented
206C4×D4×C29C2×C418yes—
207C29×#117C2×C418yes—
208C29×#117C2×C418yescomplemented
209C29×#117C2×C418yescomplemented
210C2×C4⋊C4×C29C2×C418yescomplemented
211C2×C4⋊C4×C29C2311yescharacteristic
212C2×C4⋊C4×C29C2311yescharacteristic
213C2×C4⋊C4×C29C2311yescharacteristic
214C2×C4⋊C4×C29C2311yescharacteristic
215C2×C4⋊C4×C29C2311yescharacteristic
216C2×C4⋊C4×C29C2311yescharacteristic
217C2×C4⋊C4×C29C2311yescharacteristic
218C2×C4⋊C4×C29C2311yescharacteristic
219C2×C4⋊C4×C29C2311yescharacteristic
220C2×C4⋊C4×C29C2311yescharacteristic
221C2×C4⋊C4×C29C2311yescharacteristic
222C2×C4⋊C4×C29C2311yescharacteristic
223C2×C4⋊C4×C29C2311yescharacteristic
224C2×C4⋊C4×C29C2311yescharacteristic
225C2×C4⋊C4×C29C2311yescharacteristic
226C2×C4⋊C4×C29C2311yescharacteristic
227C2×C4⋊C4×C29C2311yescharacteristic
228C2×C4⋊C4×C29C2311yescharacteristic
229C2×C4⋊C4×C29C2311yescharacteristic
230C2×C4⋊C4×C29C2311yescharacteristic
231C2×C4⋊C4×C29C2311yescharacteristic
232C2×C4⋊C4×C29C2311yescharacteristic
233C2×C4⋊C4×C29C2311yescharacteristic
234C2×C4⋊C4×C29C2311yescharacteristic
235C2×C4⋊C4×C29C2311yescharacteristic
236C2×C4⋊C4×C29C2311yescharacteristic
237C2×C4⋊C4×C29C2311yescharacteristic
238C2×C4⋊C4×C29C2311yescharacteristic
239C2×C4⋊C4×C29C2311yescharacteristic
240C2×C4⋊C4×C29C2311yescharacteristic
241C2×C4⋊C4×C29C2311yescharacteristic
242C2×C4⋊C4×C29C2311yescharacteristic
243C2×C4⋊C4×C29C2311yescharacteristic
244C2×C4⋊C4×C29C2311yescharacteristic
245C2×C4⋊C4×C29C2311yescharacteristic
246C2×C4⋊C4×C29C2311yescharacteristic
247C2×C4⋊C4×C29C2311yescharacteristic
248C2×C4⋊C4×C29C2311yescharacteristic
249C2×C4⋊C4×C29C2311yescharacteristic
250C2×C4⋊C4×C29C2311yescharacteristic
251C2×C22⋊C4×C29C2311yescharacteristic
252C2×C22⋊C4×C29C2311yescharacteristic
253C2×C22⋊C4×C29C2311yescharacteristic
254C2×C22⋊C4×C29C2311yescharacteristic
255C2×C22⋊C4×C29C2311yescharacteristic
256C2×C22⋊C4×C29C2311yescharacteristic
257C2×C22⋊C4×C29C2311yescharacteristic
258C2×C22⋊C4×C29C2311yescharacteristic
259C2×C22⋊C4×C29C2311yescharacteristic
260C2×C22⋊C4×C29C2311yescharacteristic
261C2×C22⋊C4×C29C2311yescharacteristic
262C2×C22⋊C4×C29C2311yescharacteristic
263C2×C22⋊C4×C29C2311yescharacteristic
264C2×C22⋊C4×C29C2311yescharacteristic
265C2×C22⋊C4×C29C2311yescharacteristic
266C2×C22⋊C4×C29C2311yescharacteristic
267C2×C22⋊C4×C29C2311yescharacteristic
268C2×C22⋊C4×C29C2311yescharacteristic
269C2×C22⋊C4×C29C2311yescharacteristic
270C2×C22⋊C4×C29C2311yescharacteristic
271C2×C22⋊C4×C29C2311yescharacteristic
272C2×C22⋊C4×C29C2311yescharacteristic
273C2×C42×C29C2311yescharacteristic
274C2×C42×C29C2311yescharacteristic
275C2×C42×C29C2311yescharacteristic
276C2×C42×C29C2311yescharacteristic
277C2×C42×C29C2311yescharacteristic
278C2×C42×C29C2311yescharacteristic
279C2×C42×C29C2311yescharacteristic
280C2×C42×C29C2311yescharacteristic
281C2×C42×C29C2311yescharacteristic
282C2×C42×C29C2311yescharacteristic
283C2×C42×C29C2311yescharacteristic
284C2×C42×C29C2311yescharacteristic
285C2×C42×C29C2311yescharacteristic
286C2×C42×C29C2311yescharacteristic
287C2×C42×C29C2311yescharacteristic
288C2×C42×C29C2311yescharacteristic
289C2×C42×C29C2311yescharacteristic
290C2×C42×C29C2311yescharacteristic
291C2×C42×C29C2311yescharacteristic
292C2×C42×C29C2311yescharacteristic
293C2×C42×C29C2311yescharacteristic
294C2×C42×C29C2311yescharacteristic
295C2×C42×C29C2311yescharacteristic
296C2×C42×C29C2311yescharacteristic
297C2×C42×C29C2311yescharacteristic
298C2×C42×C29C2311yescharacteristic
299C2×C42×C29C2311yescharacteristic
300C2×C42×C29C2311yescharacteristic
301C2×C42×C29C2311yescharacteristic
302C29×#95C2311yescharacteristic
303C29×#95C2311yescharacteristic
304C29×#95C2311yescharacteristic
305C29×#95C2311yescharacteristic
306C29×#95C2311yescharacteristic
307C29×#95C2311yescharacteristic
308C29×#95C2311yescharacteristic
309C29×#95C2311yescharacteristic
310C29×#95C2311yescharacteristic
311C29×#95C2311yescharacteristic
312C29×#95C2311yescharacteristic
313C29×#95C2311yescharacteristic
314C29×#95C2311yescharacteristic
315C29×#95C2311yescharacteristic
316C29×#95C2311yescharacteristic
317C29×#95C2311yescharacteristic
318C29×#95C2311yescharacteristic
319C29×#95C2311yescharacteristic
320C29×#95C2311yescharacteristic
321C29×#95C2311yescharacteristic
322C29×#95C2311yescharacteristic
323C29×#95C2311yescharacteristic
324C29×#95C2311yescharacteristic
325C29×#95C2311yescharacteristic
326C29×#95C2311yescharacteristic
327C29×#95C2311yescharacteristic
328C29×#95C2311yescharacteristic
329C29×#95C2311yescharacteristic
330C29×#95C2311yescharacteristic
331C29×#95C2311yescharacteristic
332C29×#95C2311yescharacteristic
333C29×#95C2311yescharacteristic
334C29×#95C2311yescharacteristic
335C29×#95C2311yescharacteristic
336C29×#95C2311yescharacteristic
337C29×#95C2311yescharacteristic
338C29×#95C2311yescharacteristic
339C29×#95C2311yescharacteristic
340C29×#95C2311yescharacteristic
341C29×#95C2311yescharacteristic
342C29×#95C2311yescharacteristic
343C29×#95C2311yescharacteristic
344C29×#95C2311yescharacteristic
345C29×#95C2311yescharacteristic
346C29×#95C2311yescharacteristic
347C29×#95C2311yescharacteristic
348C29×#95C2311yescharacteristic
349C29×#95C2311yescharacteristic
350C29×#95C2311yescharacteristic
351C29×#95C2311yescharacteristic
352C29×#95C2311yescharacteristic
353C29×#95C2311yescharacteristic
354C29×#95C2311yescharacteristic
355C29×#95C2311yescharacteristic
356C29×#95C2311yescharacteristic
357C29×#95C2311yescharacteristic
358C24×C29C2411yescharacteristic
359C24×C29C2411yescharacteristic
360C2×Q8×C29—41no—
361C2×Q8×C29—41no—
362C2×Q8×C29C22×C414yes—
363C2×D4×C29—41no—
364C2×D4×C29—41no—
365C2×D4×C29C22×C414yes—
366C22×C4×C29—41no—
367C22×C4×C29—41no—
368C22×C4×C29—41no—
369C22×C4×C29—41no—
370C22×C4×C29—41no—
371C22×C4×C29—41no—
372C22×C4×C29—41no—
373C22×C4×C29—41no—
374C22×C4×C29—41no—
375C22×C4×C29—41no—
376C22×C4×C29—41no—
377C22×C4×C29—41no—
378C22×C4×C29—41no—
379C22×C4×C29—41no—
380C22×C4×C29C22×C414yes—
381C22×C4×C29C22×C414yes—
382C22×C4×C29C22×C414yes—
383C22×C4×C29C22×C414yes—
384C22×C4×C29C2411yescharacteristic
385C22×C4×C29C2411yescharacteristic
386C22×C4×C29C2411yescharacteristic
387C22×C4×C29C2411yescharacteristic
388C22×C4×C29C2411yescharacteristic
389C22×C4×C29C2411yescharacteristic
390C22×C4×C29C2411yescharacteristic
391C22×C4×C29C2411yescharacteristic
392C22×C4×C29C2411yescharacteristic
393C22×C4×C29C2411yescharacteristic
394C22×C4×C29C2411yescharacteristic
395C22×C4×C29C2411yescharacteristic
396C22×C4×C29C2411yescharacteristic
397C22×C4×C29C2411yescharacteristic
398C22×C4×C29C2411yescharacteristic
399C22×C4×C29C2411yescharacteristic
400C22×C4×C29C2411yescharacteristic
401C22×C4×C29C2411yescharacteristic
402C22×C4×C29C2411yescharacteristic
403C22×C4×C29C2411yescharacteristic
404C22×C4×C29C2411yescharacteristic
405C22×C4×C29C2411yescharacteristic
406C22×C4×C29C2411yescharacteristic
407C22×C4×C29C2411yescharacteristic
408C22×C4×C29C2411yescharacteristic
409C22×C4×C29C2411yescharacteristic
410C22×C4×C29C2411yescharacteristic
411C22×C4×C29C2411yescharacteristic
412C22×C4×C29C2411yescharacteristic
413C4⋊C4×C29—22no—
414C4⋊C4×C29—22no—
415C4⋊C4×C29—41no—
416C4⋊C4×C29—41no—
417C4⋊C4×C29—41no—
418C4⋊C4×C29—41no—
419C4⋊C4×C29—41no—
420C4⋊C4×C29—41no—
421C4⋊C4×C29—41no—
422C4⋊C4×C29—41no—
423C4⋊C4×C29—41no—
424C4⋊C4×C29—41no—
425C4⋊C4×C29—41no—
426C4⋊C4×C29—41no—
427C4⋊C4×C29—41no—
428C4⋊C4×C29—41no—
429C4⋊C4×C29—41no—
430C4⋊C4×C29—41no—
431C4⋊C4×C29—41no—
432C4⋊C4×C29—41no—
433C4⋊C4×C29—41no—
434C4⋊C4×C29—41no—
435C4⋊C4×C29—41no—
436C4⋊C4×C29—41no—
437C4⋊C4×C29C22×C414yes—
438C4⋊C4×C29C22×C414yes—
439C4⋊C4×C29C22×C414yes—
440C4⋊C4×C29C22×C414yes—
441C4⋊C4×C29C22×C414yes—
442C4⋊C4×C29C22×C414yes—
443C4⋊C4×C29C22×C414yes—
444C4⋊C4×C29C22×C414yes—
445C4⋊C4×C29C22×C414yes—
446C4⋊C4×C29C22×C414yes—
447C4⋊C4×C29C22×C414yes—
448C4⋊C4×C29C22×C414yes—
449C4⋊C4×C29C22×C414yes—
450C4⋊C4×C29C22×C414yes—
451C4⋊C4×C29C22×C414yes—
452C4⋊C4×C29C22×C414yes—
453C22⋊C4×C29—22no—
454C22⋊C4×C29—22no—
455C22⋊C4×C29—41no—
456C22⋊C4×C29—41no—
457C22⋊C4×C29—41no—
458C22⋊C4×C29—41no—
459C22⋊C4×C29—41no—
460C22⋊C4×C29—41no—
461C22⋊C4×C29—41no—
462C22⋊C4×C29—41no—
463C22⋊C4×C29—41no—
464C22⋊C4×C29—41no—
465C22⋊C4×C29—41no—
466C22⋊C4×C29—41no—
467C22⋊C4×C29C22×C414yes—
468C22⋊C4×C29C22×C414yes—
469C22⋊C4×C29C22×C414yes—
470C22⋊C4×C29C22×C414yes—
471C22⋊C4×C29C22×C414yes—
472C22⋊C4×C29C22×C414yes—
473C22⋊C4×C29C22×C414yes—
474C22⋊C4×C29C22×C414yes—
475C42×C29—22no—
476C42×C29—41no—
477C42×C29—41no—
478C42×C29—41no—
479C42×C29—41no—
480C42×C29—41no—
481C42×C29—41no—
482C42×C29—41no—
483C42×C29—41no—
484C42×C29—41no—
485C42×C29—41no—
486C42×C29—41no—
487C42×C29—41no—
488C42×C29—41no—
489C42×C29—41no—
490C42×C29—41no—
491C42×C29—41no—
492C42×C29—41no—
493C42×C29—41no—
494C42×C29—41no—
495C42×C29—41no—
496C42×C29—41no—
497C42×C29—41no—
498C42×C29—41no—
499C42×C29C22×C414yes—
500C42×C29C22×C414yes—
501C42×C29C22×C414yes—
502C42×C29C22×C414yes—
503C42×C29C22×C414yes—
504#34501C2911yesmaximal, characteristic, direct product factor, Sylow
505C23×C29—21no—
506C23×C29—21no—
507C23×C29—21no—
508C23×C29—21no—
509C23×C29—21no—
510C23×C29—21no—
511C23×C29—21no—
512C23×C29—21no—
513C23×C29—21no—
514C23×C29—21no—
515C23×C29—21no—
516C23×C29—21no—
517C23×C29C23×C412yes—
518C23×C29C23×C412yes—
519C23×C29C2511yescharacteristic
520Q8×C29—44no—
521D4×C29—44no—
522C2×C4×C29—21no—
523C2×C4×C29—21no—
524C2×C4×C29—21no—
525C2×C4×C29—21no—
526C2×C4×C29—21no—
527C2×C4×C29—21no—
528C2×C4×C29—21no—
529C2×C4×C29—21no—
530C2×C4×C29—21no—
531C2×C4×C29—21no—
532C2×C4×C29—21no—
533C2×C4×C29—21no—
534C2×C4×C29—21no—
535C2×C4×C29—21no—
536C2×C4×C29—21no—
537C2×C4×C29—21no—
538C2×C4×C29—21no—
539C2×C4×C29—21no—
540C2×C4×C29—21no—
541C2×C4×C29—21no—
542C2×C4×C29—21no—
543C2×C4×C29—21no—
544C2×C4×C29—21no—
545C2×C4×C29—21no—
546C2×C4×C29—21no—
547C2×C4×C29—21no—
548C2×C4×C29—21no—
549C2×C4×C29—21no—
550C2×C4×C29—21no—
551C2×C4×C29—21no—
552C2×C4×C29—21no—
553C2×C4×C29—21no—
554C2×C4×C29—21no—
555C2×C4×C29—21no—
556C2×C4×C29—21no—
557C2×C4×C29—21no—
558C2×C4×C29—21no—
559C2×C4×C29—21no—
560C2×C4×C29—21no—
561C2×C4×C29—21no—
562C2×C4×C29—21no—
563C2×C4×C29—21no—
564C2×C4×C29—21no—
565C2×C4×C29—21no—
566C2×C4×C29—21no—
567C2×C4×C29—21no—
568C2×C4×C29—21no—
569C2×C4×C29—21no—
570C2×C4×C29—21no—
571C2×C4×C29—21no—
572C2×C4×C29—21no—
573C2×C4×C29—21no—
574C2×C4×C29—21no—
575C2×C4×C29—21no—
576C2×C4×C29—21no—
577C2×C4×C29—21no—
578C2×C4×C29—21no—
579C2×C4×C29—21no—
580C2×C4×C29—21no—
581C2×C4×C29—21no—
582C2×C4×C29—21no—
583C2×C4×C29—21no—
584C2×C4×C29—21no—
585C2×C4×C29—21no—
586C2×C4×C29—21no—
587C2×C4×C29—21no—
588C2×C4×C29—21no—
589C2×C4×C29—21no—
590C2×C4×C29—21no—
591C2×C4×C29—21no—
592C2×C4×C29—21no—
593C2×C4×C29—21no—
594C2×C4×C29—21no—
595C2×C4×C29—44no—
596C2×C4×C29—44no—
597C2×C4×C29—44no—
598C2×C4×C29—44no—
599C2×C4×C29—82no—
600C2×C4×C29—82no—
601C2×C4×C29C23×C412yes—
602C2×C4×C29C23×C412yes—
603C2×C4×C29C23×C412yes—
604C2×C4×C29C23×C412yes—
605C2×C4×C29C23×C412yes—
606C2×C4×C29C23×C412yes—
607C2×C4×C29C23×C412yes—
608C2×C4×C29C23×C412yes—
609C2×C4×C29C23×C412yes—
610C2×C4×C29C23×C412yes—
611C2×C4×C29C23×C412yes—
612C2×C4×C29C23×C412yes—
613C2×C4×C29C23×C412yes—
614C2×C4×C292−1+412yes—
615C2×#552C2×C2911yescharacteristic
616#2383C2×C2911yescharacteristic, complemented
617#2382C2×C2911yescharacteristic, complemented
618#2378C2×C2911yescharacteristic, complemented
619#2376C2×C2911yescharacteristic
620#2374C2×C2911yescharacteristic
621#2373C2×C2911yescharacteristic, complemented
622#2371C2×C2911yescharacteristic, complemented
623#2370C2×C2911yescharacteristic, complemented
624#2368C2×C2911yescharacteristic, complemented
625#2357C2×C2911yescharacteristic
626#2355C2×C2911yescharacteristic, complemented
627#2347C2×C2911yescharacteristic, complemented
628#2346C2×C2911yescharacteristic, complemented
629#2345C2×C2911yescharacteristic, complemented
630#2343C2×C2911yescharacteristic, complemented
631#2336C2×C2911yescharacteristic, complemented
632#2336C2×C2911yescharacteristic, complemented
633#2335C2×C2911yescharacteristic
634#2335C2×C2911yescharacteristic
635#2334C2×C2911yescharacteristic, complemented
636#2334C2×C2911yescharacteristic, complemented
637#2332C2×C2911yescharacteristic, complemented
638#2332C2×C2911yescharacteristic, complemented
639#2320C2×C2911yescharacteristic, complemented
640#2318C2×C2911yescharacteristic
641#2314C2×C2911yescharacteristic, complemented
642#2313C2×C2911yescharacteristic, complemented
643C4×#125C2×C2911yescharacteristic, complemented
644#2298C2×C2911yescharacteristic, complemented
645#2298C2×C2911yescharacteristic, complemented
646C22×C29—22no—
647C22×C29—22no—
648C22×C29—22no—
649C22×C29—22no—
650C22×C29—22no—
651C22×C29—22no—
652C22×C29—41no—
653C22×C29—41no—
654C22×C29—41no—
655C22×C29—41no—
656C22×C29—41no—
657C22×C29—41no—
658C22×C29—41no—
659C22×C29—41no—
660C22×C29C24×C411yescharacteristic
661C22×C29C2×2−1+411yescharacteristic
662C22×C29#58511yescharacteristic
663C22×C29#58511yescharacteristic
664C22×C29#58511yescharacteristic
665C22×C29#58511yescharacteristic
666C22×C29#58511yescharacteristic
667C4×C29—22no—
668C4×C29—22no—
669C4×C29—22no—
670C4×C29—22no—
671C4×C29—22no—
672C4×C29—22no—
673C4×C29—22no—
674C4×C29—22no—
675C4×C29—22no—
676C4×C29—22no—
677C4×C29—22no—
678C4×C29—22no—
679C4×C29—22no—
680C4×C29—22no—
681C4×C29—41no—
682C4×C29—41no—
683C4×C29—41no—
684C4×C29—41no—
685C4×C29—41no—
686C4×C29—41no—
687C4×C29—41no—
688C4×C29—41no—
689C4×C29—41no—
690C4×C29—41no—
691C4×C29—41no—
692C4×C29—41no—
693C4×C29—41no—
694C4×C29—41no—
695C4×C29—41no—
696#552C4×C29116yescomplemented
697C2×#126C22×C2911yescharacteristic
698C2×#126C22×C2911yescharacteristic
699C2×#125C22×C2911yescharacteristic
700C2×#125C22×C2911yescharacteristic
701C2×#125C22×C2911yescharacteristic
702C2×#123C22×C2911yescharacteristic
703C2×#123C22×C2911yescharacteristic
704C2×C22⋊Q8C22×C2911yescharacteristic
705C2×C22⋊Q8C22×C2911yescharacteristic
706C2×C4×Q8C22×C2911yescharacteristic
707C2×C4×D4C22×C2911yescharacteristic
708C2×#117C22×C2911yescharacteristic
709C2×#117C22×C2911yescharacteristic
710C2×#117C22×C2911yescharacteristic
711C22×C4⋊C4C22×C2911yescharacteristic
712#391C22×C2911yescharacteristic
713#391C22×C2911yescharacteristic
714#391C22×C2911yescharacteristic
715#391C22×C2911yescharacteristic
716#390C22×C2911yescharacteristic
717#390C22×C2911yescharacteristic
718#389C22×C2911yescharacteristic
719#389C22×C2911yescharacteristic
720#389C22×C2911yescharacteristic
721#389C22×C2911yescharacteristic
722#389C22×C2911yescharacteristic
723#389C22×C2911yescharacteristic
724#389C22×C2911yescharacteristic
725#389C22×C2911yescharacteristic
726#389C22×C2911yescharacteristic
727#389C22×C2911yescharacteristic
728#389C22×C2911yescharacteristic
729#389C22×C2911yescharacteristic
730#388C22×C2911yescharacteristic
731#388C22×C2911yescharacteristic
732#388C22×C2911yescharacteristic
733#388C22×C2911yescharacteristic
734#388C22×C2911yescharacteristic
735#388C22×C2911yescharacteristic
736#388C22×C2911yescharacteristic
737#388C22×C2911yescharacteristic
738#388C22×C2911yescharacteristic
739#388C22×C2911yescharacteristic
740#388C22×C2911yescharacteristic
741#388C22×C2911yescharacteristic
742#388C22×C2911yescharacteristic
743#388C22×C2911yescharacteristic
744#388C22×C2911yescharacteristic
745#388C22×C2911yescharacteristic
746#388C22×C2911yescharacteristic
747#388C22×C2911yescharacteristic
748#388C22×C2911yescharacteristic
749#388C22×C2911yescharacteristic
750#388C22×C2911yescharacteristic
751#388C22×C2911yescharacteristic
752#387C22×C2911yescharacteristic
753#387C22×C2911yescharacteristic
754#387C22×C2911yescharacteristic
755#387C22×C2911yescharacteristic
756#387C22×C2911yescharacteristic
757#387C22×C2911yescharacteristic
758#387C22×C2911yescharacteristic
759#387C22×C2911yescharacteristic
760#387C22×C2911yescharacteristic
761#387C22×C2911yescharacteristic
762#387C22×C2911yescharacteristic
763#387C22×C2911yescharacteristic
764#387C22×C2911yescharacteristic
765#387C22×C2911yescharacteristic
766#387C22×C2911yescharacteristic
767#387C22×C2911yescharacteristic
768#387C22×C2911yescharacteristic
769#387C22×C2911yescharacteristic
770#387C22×C2911yescharacteristic
771#387C22×C2911yescharacteristic
772#387C22×C2911yescharacteristic
773#387C22×C2911yescharacteristic
774#387C22×C2911yescharacteristic
775#387C22×C2911yescharacteristic
776#387C22×C2911yescharacteristic
777#387C22×C2911yescharacteristic
778#387C22×C2911yescharacteristic
779#387C22×C2911yescharacteristic
780#387C22×C2911yescharacteristic
781#387C22×C2911yescharacteristic
782#387C22×C2911yescharacteristic
783#387C22×C2911yescharacteristic
784#387C22×C2911yescharacteristic
785#387C22×C2911yescharacteristic
786#387C22×C2911yescharacteristic
787#387C22×C2911yescharacteristic
788#387C22×C2911yescharacteristic
789#387C22×C2911yescharacteristic
790#386C22×C2911yescharacteristic
791#386C22×C2911yescharacteristic
792#385C22×C2911yescharacteristic
793#385C22×C2911yescharacteristic
794#385C22×C2911yescharacteristic
795#385C22×C2911yescharacteristic
796#385C22×C2911yescharacteristic
797#385C22×C2911yescharacteristic
798#384C22×C2911yescharacteristic
799#383C22×C2911yescharacteristic
800#383C22×C2911yescharacteristic
801#383C22×C2911yescharacteristic
802#382C22×C2911yescharacteristic
803#382C22×C2911yescharacteristic
804#382C22×C2911yescharacteristic
805#382C22×C2911yescharacteristic
806#382C22×C2911yescharacteristic
807#381C22×C2911yescharacteristic
808#381C22×C2911yescharacteristic
809#381C22×C2911yescharacteristic
810#380C22×C2911yescharacteristic
811#380C22×C2911yescharacteristic
812#380C22×C2911yescharacteristic
813#380C22×C2911yescharacteristic
814#380C22×C2911yescharacteristic
815C4×C4⋊C4C22×C2911yescharacteristic
816C4×C4⋊C4C22×C2911yescharacteristic
817C4×C4⋊C4C22×C2911yescharacteristic
818C4×C4⋊C4C22×C2911yescharacteristic
819C4×C4⋊C4C22×C2911yescharacteristic
820C4×C4⋊C4C22×C2911yescharacteristic
821C4×C4⋊C4C22×C2911yescharacteristic
822C4×C4⋊C4C22×C2911yescharacteristic
823C4×C4⋊C4C22×C2911yescharacteristic
824C4×C4⋊C4C22×C2911yescharacteristic
825C4×C4⋊C4C22×C2911yescharacteristic
826C4×C4⋊C4C22×C2911yescharacteristic
827C4×C4⋊C4C22×C2911yescharacteristic
828C4×C4⋊C4C22×C2911yescharacteristic
829C4×C4⋊C4C22×C2911yescharacteristic
830C4×C4⋊C4C22×C2911yescharacteristic
831C4×C4⋊C4C22×C2911yescharacteristic
832C4×C4⋊C4C22×C2911yescharacteristic
833C4×C4⋊C4C22×C2911yescharacteristic
834C4×C4⋊C4C22×C2911yescharacteristic
835C4×C4⋊C4C22×C2911yescharacteristic
836C4×C22⋊C4C22×C2911yescharacteristic
837C4×C22⋊C4C22×C2911yescharacteristic
838C4×C22⋊C4C22×C2911yescharacteristic
839C4×C22⋊C4C22×C2911yescharacteristic
840C4×C22⋊C4C22×C2911yescharacteristic
841C4×C22⋊C4C22×C2911yescharacteristic
842C4×C22⋊C4C22×C2911yescharacteristic
843C4×C22⋊C4C22×C2911yescharacteristic
844C4×C22⋊C4C22×C2911yescharacteristic
845C4×C22⋊C4C22×C2911yescharacteristic
846C4×C22⋊C4C22×C2911yescharacteristic
847#376C22×C2911yescharacteristic
848#376C22×C2911yescharacteristic
849#376C22×C2911yescharacteristic
850C2×#95C22×C2911yescharacteristic
851C43C22×C2911yescharacteristic
852C2×C29—42no—
853C2×C29—42no—
854C2×C29#342811yescharacteristic
855C2×C29#342811yescharacteristic
856C2×C29C4×2−1+411yescharacteristic
857C2×C29#355311yescharacteristic
858C2×C29#355711yescharacteristic
859C2×C29#356611yescharacteristic
860C2×C29#356611yescharacteristic
861C22×Q8C23×C2911yescharacteristic
862C22×D4C23×C2911yescharacteristic
863C23×C4C23×C2911yescharacteristic
864C23×C4C23×C2911yescharacteristic
865C23×C4C23×C2911yescharacteristic
866C23×C4C23×C2911yescharacteristic
867C23×C4C23×C2911yescharacteristic
868C23×C4C23×C2911yescharacteristic
869#126C2×C4×C2918yes—
870#126C2×C4×C2918yes—
871#125C2×C4×C2918yescomplemented
872#125C2×C4×C2918yescomplemented
873#125C2×C4×C2918yescomplemented
874#123C2×C4×C2918yes—
875#123C2×C4×C2918yes—
876C22⋊Q8C2×C4×C2918yes—
877C22⋊Q8C2×C4×C2918yescomplemented
878C4×Q8C2×C4×C2918yescomplemented
879C4×D4C2×C4×C2918yes—
880#117C2×C4×C2918yes—
881#117C2×C4×C2918yescomplemented
882#117C2×C4×C2918yescomplemented
883C2×C4⋊C4C2×C4×C2918yescomplemented
884C2×C4⋊C4C23×C2911yescharacteristic
885C2×C4⋊C4C23×C2911yescharacteristic
886C2×C4⋊C4C23×C2911yescharacteristic
887C2×C4⋊C4C23×C2911yescharacteristic
888C2×C4⋊C4C23×C2911yescharacteristic
889C2×C4⋊C4C23×C2911yescharacteristic
890C2×C4⋊C4C23×C2911yescharacteristic
891C2×C4⋊C4C23×C2911yescharacteristic
892C2×C4⋊C4C23×C2911yescharacteristic
893C2×C4⋊C4C23×C2911yescharacteristic
894C2×C4⋊C4C23×C2911yescharacteristic
895C2×C4⋊C4C23×C2911yescharacteristic
896C2×C4⋊C4C23×C2911yescharacteristic
897C2×C4⋊C4C23×C2911yescharacteristic
898C2×C4⋊C4C23×C2911yescharacteristic
899C2×C4⋊C4C23×C2911yescharacteristic
900C2×C4⋊C4C23×C2911yescharacteristic
901C2×C4⋊C4C23×C2911yescharacteristic
902C2×C4⋊C4C23×C2911yescharacteristic
903C2×C4⋊C4C23×C2911yescharacteristic
904C2×C4⋊C4C23×C2911yescharacteristic
905C2×C4⋊C4C23×C2911yescharacteristic
906C2×C4⋊C4C23×C2911yescharacteristic
907C2×C4⋊C4C23×C2911yescharacteristic
908C2×C4⋊C4C23×C2911yescharacteristic
909C2×C4⋊C4C23×C2911yescharacteristic
910C2×C4⋊C4C23×C2911yescharacteristic
911C2×C4⋊C4C23×C2911yescharacteristic
912C2×C4⋊C4C23×C2911yescharacteristic
913C2×C4⋊C4C23×C2911yescharacteristic
914C2×C4⋊C4C23×C2911yescharacteristic
915C2×C4⋊C4C23×C2911yescharacteristic
916C2×C4⋊C4C23×C2911yescharacteristic
917C2×C4⋊C4C23×C2911yescharacteristic
918C2×C4⋊C4C23×C2911yescharacteristic
919C2×C4⋊C4C23×C2911yescharacteristic
920C2×C4⋊C4C23×C2911yescharacteristic
921C2×C4⋊C4C23×C2911yescharacteristic
922C2×C4⋊C4C23×C2911yescharacteristic
923C2×C4⋊C4C23×C2911yescharacteristic
924C2×C22⋊C4C23×C2911yescharacteristic
925C2×C22⋊C4C23×C2911yescharacteristic
926C2×C22⋊C4C23×C2911yescharacteristic
927C2×C22⋊C4C23×C2911yescharacteristic
928C2×C22⋊C4C23×C2911yescharacteristic
929C2×C22⋊C4C23×C2911yescharacteristic
930C2×C22⋊C4C23×C2911yescharacteristic
931C2×C22⋊C4C23×C2911yescharacteristic
932C2×C22⋊C4C23×C2911yescharacteristic
933C2×C22⋊C4C23×C2911yescharacteristic
934C2×C22⋊C4C23×C2911yescharacteristic
935C2×C22⋊C4C23×C2911yescharacteristic
936C2×C22⋊C4C23×C2911yescharacteristic
937C2×C22⋊C4C23×C2911yescharacteristic
938C2×C22⋊C4C23×C2911yescharacteristic
939C2×C22⋊C4C23×C2911yescharacteristic
940C2×C22⋊C4C23×C2911yescharacteristic
941C2×C22⋊C4C23×C2911yescharacteristic
942C2×C22⋊C4C23×C2911yescharacteristic
943C2×C22⋊C4C23×C2911yescharacteristic
944C2×C22⋊C4C23×C2911yescharacteristic
945C2×C22⋊C4C23×C2911yescharacteristic
946C2×C42C23×C2911yescharacteristic
947C2×C42C23×C2911yescharacteristic
948C2×C42C23×C2911yescharacteristic
949C2×C42C23×C2911yescharacteristic
950C2×C42C23×C2911yescharacteristic
951C2×C42C23×C2911yescharacteristic
952C2×C42C23×C2911yescharacteristic
953C2×C42C23×C2911yescharacteristic
954C2×C42C23×C2911yescharacteristic
955C2×C42C23×C2911yescharacteristic
956C2×C42C23×C2911yescharacteristic
957C2×C42C23×C2911yescharacteristic
958C2×C42C23×C2911yescharacteristic
959C2×C42C23×C2911yescharacteristic
960C2×C42C23×C2911yescharacteristic
961C2×C42C23×C2911yescharacteristic
962C2×C42C23×C2911yescharacteristic
963C2×C42C23×C2911yescharacteristic
964C2×C42C23×C2911yescharacteristic
965C2×C42C23×C2911yescharacteristic
966C2×C42C23×C2911yescharacteristic
967C2×C42C23×C2911yescharacteristic
968C2×C42C23×C2911yescharacteristic
969C2×C42C23×C2911yescharacteristic
970C2×C42C23×C2911yescharacteristic
971C2×C42C23×C2911yescharacteristic
972C2×C42C23×C2911yescharacteristic
973C2×C42C23×C2911yescharacteristic
974C2×C42C23×C2911yescharacteristic
975#95C23×C2911yescharacteristic
976#95C23×C2911yescharacteristic
977#95C23×C2911yescharacteristic
978#95C23×C2911yescharacteristic
979#95C23×C2911yescharacteristic
980#95C23×C2911yescharacteristic
981#95C23×C2911yescharacteristic
982#95C23×C2911yescharacteristic
983#95C23×C2911yescharacteristic
984#95C23×C2911yescharacteristic
985#95C23×C2911yescharacteristic
986#95C23×C2911yescharacteristic
987#95C23×C2911yescharacteristic
988#95C23×C2911yescharacteristic
989#95C23×C2911yescharacteristic
990#95C23×C2911yescharacteristic
991#95C23×C2911yescharacteristic
992#95C23×C2911yescharacteristic
993#95C23×C2911yescharacteristic
994#95C23×C2911yescharacteristic
995#95C23×C2911yescharacteristic
996#95C23×C2911yescharacteristic
997#95C23×C2911yescharacteristic
998#95C23×C2911yescharacteristic
999#95C23×C2911yescharacteristic
1000#95C23×C2911yescharacteristic
1001#95C23×C2911yescharacteristic
1002#95C23×C2911yescharacteristic
1003#95C23×C2911yescharacteristic
1004#95C23×C2911yescharacteristic
1005#95C23×C2911yescharacteristic
1006#95C23×C2911yescharacteristic
1007#95C23×C2911yescharacteristic
1008#95C23×C2911yescharacteristic
1009#95C23×C2911yescharacteristic
1010#95C23×C2911yescharacteristic
1011#95C23×C2911yescharacteristic
1012#95C23×C2911yescharacteristic
1013#95C23×C2911yescharacteristic
1014#95C23×C2911yescharacteristic
1015#95C23×C2911yescharacteristic
1016#95C23×C2911yescharacteristic
1017#95C23×C2911yescharacteristic
1018#95C23×C2911yescharacteristic
1019#95C23×C2911yescharacteristic
1020#95C23×C2911yescharacteristic
1021#95C23×C2911yescharacteristic
1022#95C23×C2911yescharacteristic
1023#95C23×C2911yescharacteristic
1024#95C23×C2911yescharacteristic
1025#95C23×C2911yescharacteristic
1026#95C23×C2911yescharacteristic
1027#95C23×C2911yescharacteristic
1028#95C23×C2911yescharacteristic
1029#95C23×C2911yescharacteristic
1030#95C23×C2911yescharacteristic
1031C29#3450111yescharacteristic, direct product factor, Sylow
1032C24C24×C2911yescharacteristic
1033C24C24×C2911yescharacteristic
1034C2×Q8—41no—
1035C2×Q8—41no—
1036C2×Q8C22×C4×C2914yes—
1037C2×D4—41no—
1038C2×D4—41no—
1039C2×D4C22×C4×C2914yes—
1040C22×C4—41no—
1041C22×C4—41no—
1042C22×C4—41no—
1043C22×C4—41no—
1044C22×C4—41no—
1045C22×C4—41no—
1046C22×C4—41no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—41no—
1050C22×C4—41no—
1051C22×C4—41no—
1052C22×C4—41no—
1053C22×C4—41no—
1054C22×C4C22×C4×C2914yes—
1055C22×C4C22×C4×C2914yes—
1056C22×C4C22×C4×C2914yes—
1057C22×C4C22×C4×C2914yes—
1058C22×C4C24×C2911yescharacteristic
1059C22×C4C24×C2911yescharacteristic
1060C22×C4C24×C2911yescharacteristic
1061C22×C4C24×C2911yescharacteristic
1062C22×C4C24×C2911yescharacteristic
1063C22×C4C24×C2911yescharacteristic
1064C22×C4C24×C2911yescharacteristic
1065C22×C4C24×C2911yescharacteristic
1066C22×C4C24×C2911yescharacteristic
1067C22×C4C24×C2911yescharacteristic
1068C22×C4C24×C2911yescharacteristic
1069C22×C4C24×C2911yescharacteristic
1070C22×C4C24×C2911yescharacteristic
1071C22×C4C24×C2911yescharacteristic
1072C22×C4C24×C2911yescharacteristic
1073C22×C4C24×C2911yescharacteristic
1074C22×C4C24×C2911yescharacteristic
1075C22×C4C24×C2911yescharacteristic
1076C22×C4C24×C2911yescharacteristic
1077C22×C4C24×C2911yescharacteristic
1078C22×C4C24×C2911yescharacteristic
1079C22×C4C24×C2911yescharacteristic
1080C22×C4C24×C2911yescharacteristic
1081C22×C4C24×C2911yescharacteristic
1082C22×C4C24×C2911yescharacteristic
1083C22×C4C24×C2911yescharacteristic
1084C22×C4C24×C2911yescharacteristic
1085C22×C4C24×C2911yescharacteristic
1086C22×C4C24×C2911yescharacteristic
1087C4⋊C4—22no—
1088C4⋊C4—22no—
1089C4⋊C4—41no—
1090C4⋊C4—41no—
1091C4⋊C4—41no—
1092C4⋊C4—41no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—41no—
1096C4⋊C4—41no—
1097C4⋊C4—41no—
1098C4⋊C4—41no—
1099C4⋊C4—41no—
1100C4⋊C4—41no—
1101C4⋊C4—41no—
1102C4⋊C4—41no—
1103C4⋊C4—41no—
1104C4⋊C4—41no—
1105C4⋊C4—41no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—41no—
1109C4⋊C4—41no—
1110C4⋊C4—41no—
1111C4⋊C4C22×C4×C2914yes—
1112C4⋊C4C22×C4×C2914yes—
1113C4⋊C4C22×C4×C2914yes—
1114C4⋊C4C22×C4×C2914yes—
1115C4⋊C4C22×C4×C2914yes—
1116C4⋊C4C22×C4×C2914yes—
1117C4⋊C4C22×C4×C2914yes—
1118C4⋊C4C22×C4×C2914yes—
1119C4⋊C4C22×C4×C2914yes—
1120C4⋊C4C22×C4×C2914yes—
1121C4⋊C4C22×C4×C2914yes—
1122C4⋊C4C22×C4×C2914yes—
1123C4⋊C4C22×C4×C2914yes—
1124C4⋊C4C22×C4×C2914yes—
1125C4⋊C4C22×C4×C2914yes—
1126C4⋊C4C22×C4×C2914yes—
1127C22⋊C4—22no—
1128C22⋊C4—22no—
1129C22⋊C4—41no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—41no—
1138C22⋊C4—41no—
1139C22⋊C4—41no—
1140C22⋊C4—41no—
1141C22⋊C4C22×C4×C2914yes—
1142C22⋊C4C22×C4×C2914yes—
1143C22⋊C4C22×C4×C2914yes—
1144C22⋊C4C22×C4×C2914yes—
1145C22⋊C4C22×C4×C2914yes—
1146C22⋊C4C22×C4×C2914yes—
1147C22⋊C4C22×C4×C2914yes—
1148C22⋊C4C22×C4×C2914yes—
1149C42—22no—
1150C42—41no—
1151C42—41no—
1152C42—41no—
1153C42—41no—
1154C42—41no—
1155C42—41no—
1156C42—41no—
1157C42—41no—
1158C42—41no—
1159C42—41no—
1160C42—41no—
1161C42—41no—
1162C42—41no—
1163C42—41no—
1164C42—41no—
1165C42—41no—
1166C42—41no—
1167C42—41no—
1168C42—41no—
1169C42—41no—
1170C42—41no—
1171C42—41no—
1172C42—41no—
1173C42C22×C4×C2914yes—
1174C42C22×C4×C2914yes—
1175C42C22×C4×C2914yes—
1176C42C22×C4×C2914yes—
1177C42C22×C4×C2914yes—
1178C23—21no—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23C23×C4×C2912yes—
1191C23C23×C4×C2912yes—
1192C23C25×C2911yescharacteristic
1193Q8—44no—
1194D4—44no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—44no—
1269C2×C4—44no—
1270C2×C4—44no—
1271C2×C4—44no—
1272C2×C4—82no—
1273C2×C4—82no—
1274C2×C4C23×C4×C2912yes—
1275C2×C4C23×C4×C2912yes—
1276C2×C4C23×C4×C2912yes—
1277C2×C4C23×C4×C2912yes—
1278C2×C4C23×C4×C2912yes—
1279C2×C4C23×C4×C2912yes—
1280C2×C4C23×C4×C2912yes—
1281C2×C4C23×C4×C2912yes—
1282C2×C4C23×C4×C2912yes—
1283C2×C4C23×C4×C2912yes—
1284C2×C4C23×C4×C2912yes—
1285C2×C4C23×C4×C2912yes—
1286C2×C4C23×C4×C2912yes—
1287C2×C4C29×2−1+412yes—
1288C22—22no—
1289C22—22no—
1290C22—22no—
1291C22—22no—
1292C22—22no—
1293C22—22no—
1294C22—41no—
1295C22—41no—
1296C22—41no—
1297C22—41no—
1298C22—41no—
1299C22—41no—
1300C22—41no—
1301C22—41no—
1302C22C24×C4×C2911yescharacteristic
1303C22C2×C29×2−1+411yescharacteristic
1304C22C29×#58511yescharacteristic
1305C22C29×#58511yescharacteristic
1306C22C29×#58511yescharacteristic
1307C22C29×#58511yescharacteristic
1308C22C29×#58511yescharacteristic
1309C4—22no—
1310C4—22no—
1311C4—22no—
1312C4—22no—
1313C4—22no—
1314C4—22no—
1315C4—22no—
1316C4—22no—
1317C4—22no—
1318C4—22no—
1319C4—22no—
1320C4—22no—
1321C4—22no—
1322C4—22no—
1323C4—41no—
1324C4—41no—
1325C4—41no—
1326C4—41no—
1327C4—41no—
1328C4—41no—
1329C4—41no—
1330C4—41no—
1331C4—41no—
1332C4—41no—
1333C4—41no—
1334C4—41no—
1335C4—41no—
1336C4—41no—
1337C4—41no—
1338C2—42no—
1339C2—42no—
1340C2C29×#342811yescharacteristic
1341C2C29×#342811yescharacteristic
1342C2C4×C29×2−1+411yescharacteristic
1343C2C29×#355311yescharacteristic
1344C2C29×#355711yescharacteristic
1345C2C29×#356611yescharacteristic
1346C2C29×#356611yescharacteristic
subgroupG/H
center, socleC23×C29C25
commutatorC22C24×C4×C29
Frattini, cosocleC23C25×C29
prime radicalC22×D4×C29C23
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C29 ◁ G

Complements

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

NH ≅ G/Ntype
2. C29×#2383C2semidirect
3. C29×#2382C2semidirect
4. C29×#2378C2semidirect
7. C29×#2373C2semidirect
8. C29×#2371C2semidirect
9. C29×#2370C2semidirect
10. C29×#2368C2semidirect
12. C29×#2355C2semidirect
13. C29×#2347C2semidirect
14. C29×#2346C2semidirect
15. C29×#2345C2semidirect
16. C29×#2343C2semidirect
17. C29×#2336C2semidirect
18. C29×#2336C2semidirect
21. C29×#2334C2semidirect
22. C29×#2334C2semidirect
23. C29×#2332C2semidirect
24. C29×#2332C2semidirect
25. C29×#2320C2semidirect
27. C29×#2314C2semidirect
28. C29×#2313C2semidirect
29. C4×C29×#125C2semidirect
30. C29×#2298C2semidirect
31. C29×#2298C2semidirect
32. C29×#552C4semidirect
198. C29×#125C2×C4semidirect
199. C29×#125C2×C4semidirect
200. C29×#125C2×C4semidirect
204. C29×C22⋊Q8C2×C4semidirect
205. C4×Q8×C29C2×C4semidirect
208. C29×#117C2×C4semidirect
209. C29×#117C2×C4semidirect
210. C2×C4⋊C4×C29C2×C4semidirect
504. #34501C29direct (N × H)
616. #2383C2×C29semidirect
617. #2382C2×C29semidirect
618. #2378C2×C29semidirect
621. #2373C2×C29semidirect
622. #2371C2×C29semidirect
623. #2370C2×C29semidirect
624. #2368C2×C29semidirect
626. #2355C2×C29semidirect
627. #2347C2×C29semidirect
628. #2346C2×C29semidirect
629. #2345C2×C29semidirect
630. #2343C2×C29semidirect
631. #2336C2×C29semidirect
632. #2336C2×C29semidirect
635. #2334C2×C29semidirect
636. #2334C2×C29semidirect
637. #2332C2×C29semidirect
638. #2332C2×C29semidirect
639. #2320C2×C29semidirect
641. #2314C2×C29semidirect
642. #2313C2×C29semidirect
643. C4×#125C2×C29semidirect
644. #2298C2×C29semidirect
645. #2298C2×C29semidirect
696. #552C4×C29semidirect
871. #125C2×C4×C29semidirect
872. #125C2×C4×C29semidirect
873. #125C2×C4×C29semidirect
877. C22⋊Q8C2×C4×C29semidirect
878. C4×Q8C2×C4×C29semidirect
881. #117C2×C4×C29semidirect
882. #117C2×C4×C29semidirect
883. C2×C4⋊C4C2×C4×C29semidirect
1031. C29#34501direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C29×#5522
C29×#23832
C29×#23822
C29×#23782
C29×#23762
C29×#23742
C29×#23732
C29×#23712
C29×#23702
C29×#23682
C29×#23572
C29×#23552
C29×#23472
C29×#23462
C29×#23452
C29×#23432
C29×#23362
C29×#23352
C29×#23342
C29×#23322
C29×#23202
C29×#23182
C29×#23142
C29×#23132
C4×C29×#1252
C29×#22982
#3450129