Finite Group Databasebeta

← C29×#34303 #20329203

Subgroups — C29×#34303 #20329203

Order 7424.

2388 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C29×#551C211yesmaximal, characteristic
2C29×#2374C211yesmaximal, characteristic, complemented
3C29×#2373C211yesmaximal, characteristic, complemented
4C29×#2373C211yesmaximal, characteristic, complemented
5C29×#2372C211yesmaximal, characteristic, complemented
6C29×#2362C211yesmaximal, characteristic, complemented
7C29×#2360C211yesmaximal, characteristic, complemented
8C29×#2359C211yesmaximal, characteristic, complemented
9C29×#2359C211yesmaximal, characteristic, complemented
10C29×#2358C211yesmaximal, characteristic
11C29×#2353C211yesmaximal, characteristic, complemented
12C29×#2352C211yesmaximal, characteristic, complemented
13C29×#2346C211yesmaximal, characteristic, complemented
14C29×#2343C211yesmaximal, characteristic, complemented
15C29×#2342C211yesmaximal, characteristic, complemented
16C29×#2342C211yesmaximal, characteristic, complemented
17C29×#2335C211yesmaximal, characteristic, complemented
18C29×#2335C211yesmaximal, characteristic, complemented
19C29×#2334C211yesmaximal, characteristic, complemented
20C29×#2332C211yesmaximal, characteristic, complemented
21C29×#2329C211yesmaximal, characteristic, complemented
22C29×#2321C211yesmaximal, characteristic
23C4×C29×#126C211yesmaximal, characteristic, complemented
24C4×C29×#124C211yesmaximal, characteristic, complemented
25C4×C29×#123C211yesmaximal, characteristic, complemented
26C29×#2298C211yesmaximal, characteristic, complemented
27C29×#2293C211yesmaximal, characteristic, complemented
28C2×C29×#388C211yesmaximal, characteristic, complemented
29C29×#2275C211yesmaximal, characteristic, complemented
30C29×#2273C211yesmaximal, characteristic, complemented
31C4×C29×#117C211yesmaximal, characteristic, complemented
32C29×#551C4116yescomplemented
33C2×C29×#126C2211yescharacteristic
34C2×C29×#126C2211yescharacteristic
35C2×C29×#124C2211yescharacteristic
36C2×C29×#123C2211yescharacteristic
37C2×C29×#123C2211yescharacteristic
38C2×C29×#123C2211yescharacteristic
39C2×C29×C22⋊Q8C2211yescharacteristic
40C2×C29×C22⋊Q8C2211yescharacteristic
41C2×C29×#120C2211yescharacteristic
42C2×C4×Q8×C29C2211yescharacteristic, complemented
43C2×C4×D4×C29C2211yescharacteristic
44C2×C4×D4×C29C2211yescharacteristic
45C2×C4×D4×C29C2211yescharacteristic
46C2×C4×D4×C29C2211yescharacteristic
47C2×C4×D4×C29C2211yescharacteristic
48C2×C29×#117C2211yescharacteristic
49C2×C29×#117C2211yescharacteristic
50C2×C29×#117C2211yescharacteristic
51C2×C29×#117C2211yescharacteristic
52C2×C29×#117C2211yescharacteristic, complemented
53C22×C4⋊C4×C29C2211yescharacteristic
54C22×C22⋊C4×C29C2211yescharacteristic
55C22×C22⋊C4×C29C2211yescharacteristic
56C22×C22⋊C4×C29C2211yescharacteristic
57C22×C22⋊C4×C29C2211yescharacteristic
58C22×C22⋊C4×C29C2211yescharacteristic
59C22×C42×C29C2211yescharacteristic
60C29×#391C2211yescharacteristic, complemented
61C29×#391C2211yescharacteristic, complemented
62C29×#391C2211yescharacteristic, complemented
63C29×#390C2211yescharacteristic
64C29×#390C2211yescharacteristic
65C29×#390C2211yescharacteristic
66C29×#389C2211yescharacteristic, complemented
67C29×#389C2211yescharacteristic, complemented
68C29×#389C2211yescharacteristic, complemented
69C29×#389C2211yescharacteristic, complemented
70C29×#389C2211yescharacteristic, complemented
71C29×#389C2211yescharacteristic, complemented
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×#388C2211yescharacteristic
89C29×#388C2211yescharacteristic
90C29×#388C2211yescharacteristic
91C29×#388C2211yescharacteristic
92C29×#388C2211yescharacteristic
93C29×#388C2211yescharacteristic
94C29×#388C2211yescharacteristic, complemented
95C29×#388C2211yescharacteristic, complemented
96C29×#388C2211yescharacteristic, complemented
97C29×#388C2211yescharacteristic, complemented
98C29×#388C2211yescharacteristic, complemented
99C29×#388C2211yescharacteristic, complemented
100C29×#387C2211yescharacteristic, complemented
101C29×#387C2211yescharacteristic, complemented
102C29×#387C2211yescharacteristic, complemented
103C29×#387C2211yescharacteristic, complemented
104C29×#387C2211yescharacteristic, complemented
105C29×#387C2211yescharacteristic, complemented
106C29×#387C2211yescharacteristic, complemented
107C29×#387C2211yescharacteristic, complemented
108C29×#387C2211yescharacteristic, complemented
109C29×#387C2211yescharacteristic, complemented
110C29×#387C2211yescharacteristic, complemented
111C29×#387C2211yescharacteristic, complemented
112C29×#387C2211yescharacteristic, complemented
113C29×#387C2211yescharacteristic, complemented
114C29×#387C2211yescharacteristic, complemented
115C29×#387C2211yescharacteristic, complemented
116C29×#386C2211yescharacteristic
117C29×#386C2211yescharacteristic
118C29×#386C2211yescharacteristic
119C29×#386C2211yescharacteristic
120C29×#386C2211yescharacteristic
121C29×#386C2211yescharacteristic
122C29×#385C2211yescharacteristic
123C29×#385C2211yescharacteristic
124C29×#385C2211yescharacteristic
125C29×#385C2211yescharacteristic
126C29×#385C2211yescharacteristic
127C29×#385C2211yescharacteristic
128C29×#385C2211yescharacteristic
129C29×#385C2211yescharacteristic, complemented
130C29×#383C2211yescharacteristic, complemented
131C29×#382C2211yescharacteristic, complemented
132C29×#382C2211yescharacteristic, complemented
133C29×#381C2211yescharacteristic
134C29×#381C2211yescharacteristic
135C29×#380C2211yescharacteristic
136C29×#380C2211yescharacteristic
137C29×#380C2211yescharacteristic, complemented
138C29×#379C2211yescharacteristic
139C4×C4⋊C4×C29C2211yescharacteristic, complemented
140C4×C4⋊C4×C29C2211yescharacteristic, complemented
141C4×C4⋊C4×C29C2211yescharacteristic, complemented
142C4×C4⋊C4×C29C2211yescharacteristic, complemented
143C4×C4⋊C4×C29C2211yescharacteristic, complemented
144C4×C4⋊C4×C29C2211yescharacteristic, complemented
145C4×C4⋊C4×C29C2211yescharacteristic, complemented
146C4×C4⋊C4×C29C2211yescharacteristic, complemented
147C4×C4⋊C4×C29C2211yescharacteristic, complemented
148C4×C4⋊C4×C29C2211yescharacteristic, complemented
149C4×C4⋊C4×C29C2211yescharacteristic, complemented
150C4×C4⋊C4×C29C2211yescharacteristic, complemented
151C4×C4⋊C4×C29C2211yescharacteristic, complemented
152C4×C22⋊C4×C29C2211yescharacteristic
153C4×C22⋊C4×C29C2211yescharacteristic
154C4×C22⋊C4×C29C2211yescharacteristic
155C4×C22⋊C4×C29C2211yescharacteristic
156C4×C22⋊C4×C29C2211yescharacteristic
157C4×C22⋊C4×C29C2211yescharacteristic
158C4×C22⋊C4×C29C2211yescharacteristic
159C4×C22⋊C4×C29C2211yescharacteristic
160C4×C22⋊C4×C29C2211yescharacteristic
161C4×C22⋊C4×C29C2211yescharacteristic
162C4×C22⋊C4×C29C2211yescharacteristic
163C4×C22⋊C4×C29C2211yescharacteristic
164C4×C22⋊C4×C29C2211yescharacteristic
165C4×C22⋊C4×C29C2211yescharacteristic
166C4×C22⋊C4×C29C2211yescharacteristic
167C4×C22⋊C4×C29C2211yescharacteristic
168C4×C22⋊C4×C29C2211yescharacteristic
169C4×C22⋊C4×C29C2211yescharacteristic
170C4×C22⋊C4×C29C2211yescharacteristic
171C4×C22⋊C4×C29C2211yescharacteristic
172C4×C22⋊C4×C29C2211yescharacteristic
173C4×C22⋊C4×C29C2211yescharacteristic, complemented
174C4×C22⋊C4×C29C2211yescharacteristic, complemented
175C4×C22⋊C4×C29C2211yescharacteristic, complemented
176C4×C22⋊C4×C29C2211yescharacteristic, complemented
177C4×C22⋊C4×C29C2211yescharacteristic, complemented
178C4×C22⋊C4×C29C2211yescharacteristic, complemented
179C29×#376C2211yescharacteristic, complemented
180C29×#376C2211yescharacteristic, complemented
181C29×#376C2211yescharacteristic, complemented
182C29×#376C2211yescharacteristic, complemented
183C2×C29×#95C2211yescharacteristic
184C2×C29×#95C2211yescharacteristic
185C2×C29×#95C2211yescharacteristic, complemented
186C43×C29C2211yescharacteristic, complemented
187C43×C29C2211yescharacteristic, complemented
188C25×C29C2311yescharacteristic
189C22×Q8×C29C2311yescharacteristic
190C22×D4×C29C2311yescharacteristic
191C22×D4×C29C2311yescharacteristic
192C22×D4×C29C2311yescharacteristic
193C23×C4×C29C2311yescharacteristic
194C23×C4×C29C2311yescharacteristic
195C23×C4×C29C2311yescharacteristic
196C23×C4×C29C2311yescharacteristic
197C23×C4×C29C2311yescharacteristic
198C23×C4×C29C2311yescharacteristic
199C23×C4×C29C2311yescharacteristic
200C23×C4×C29C2311yescharacteristic
201C23×C4×C29C2311yescharacteristic
202C23×C4×C29C2311yescharacteristic
203C23×C4×C29C2311yescharacteristic
204C23×C4×C29C2311yescharacteristic
205C23×C4×C29C2311yescharacteristic
206C29×#126C2×C418yescomplemented
207C29×#126C2×C418yescomplemented
208C29×#124C2×C418yescomplemented
209C29×#123C2×C418yescomplemented
210C29×#123C2×C418yescomplemented
211C29×#123C2×C418yescomplemented
212C29×C22⋊Q8C2×C418yescomplemented
213C29×C22⋊Q8C2×C418yescomplemented
214C29×#120C2×C418yes—
215C4×Q8×C29—42no—
216C4×D4×C29—24no—
217C4×D4×C29—24no—
218C4×D4×C29—42no—
219C4×D4×C29C2×C418yescomplemented
220C4×D4×C29C2×C418yescomplemented
221C29×#117—24no—
222C29×#117—42no—
223C29×#117—42no—
224C29×#117C2×C418yescomplemented
225C29×#117C2×C418yescomplemented
226C2×C4⋊C4×C29—42no—
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×C4⋊C4×C29C2311yescharacteristic
252C2×C4⋊C4×C29C2311yescharacteristic
253C2×C22⋊C4×C29—24no—
254C2×C22⋊C4×C29—24no—
255C2×C22⋊C4×C29—42no—
256C2×C22⋊C4×C29C2×C418yescomplemented
257C2×C22⋊C4×C29C2×C418yescomplemented
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×C22⋊C4×C29C2311yescharacteristic
274C2×C22⋊C4×C29C2311yescharacteristic
275C2×C22⋊C4×C29C2311yescharacteristic
276C2×C22⋊C4×C29C2311yescharacteristic
277C2×C22⋊C4×C29C2311yescharacteristic
278C2×C22⋊C4×C29C2311yescharacteristic
279C2×C22⋊C4×C29C2311yescharacteristic
280C2×C22⋊C4×C29C2311yescharacteristic
281C2×C22⋊C4×C29C2311yescharacteristic
282C2×C22⋊C4×C29C2311yescharacteristic
283C2×C22⋊C4×C29C2311yescharacteristic
284C2×C22⋊C4×C29C2311yescharacteristic
285C2×C22⋊C4×C29C2311yescharacteristic
286C2×C22⋊C4×C29C2311yescharacteristic
287C2×C22⋊C4×C29C2311yescharacteristic
288C2×C22⋊C4×C29C2311yescharacteristic
289C2×C22⋊C4×C29C2311yescharacteristic
290C2×C22⋊C4×C29C2311yescharacteristic
291C2×C22⋊C4×C29C2311yescharacteristic
292C2×C22⋊C4×C29C2311yescharacteristic
293C2×C22⋊C4×C29C2311yescharacteristic
294C2×C22⋊C4×C29C2311yescharacteristic
295C2×C22⋊C4×C29C2311yescharacteristic
296C2×C42×C29—24no—
297C2×C42×C29C2311yescharacteristic
298C2×C42×C29C2311yescharacteristic
299C2×C42×C29C2311yescharacteristic
300C2×C42×C29C2311yescharacteristic
301C2×C42×C29C2311yescharacteristic
302C2×C42×C29C2311yescharacteristic
303C2×C42×C29C2311yescharacteristic
304C2×C42×C29C2311yescharacteristic
305C2×C42×C29C2311yescharacteristic
306C2×C42×C29C2311yescharacteristic
307C2×C42×C29C2311yescharacteristic
308C2×C42×C29C2311yescharacteristic
309C2×C42×C29C2311yescharacteristic
310C2×C42×C29C2311yescharacteristic
311C2×C42×C29C2311yescharacteristic
312C2×C42×C29C2311yescharacteristic
313C2×C42×C29C2311yescharacteristic
314C2×C42×C29C2311yescharacteristic
315C2×C42×C29C2311yescharacteristic
316C2×C42×C29C2311yescharacteristic
317C2×C42×C29C2311yescharacteristic
318C2×C42×C29C2311yescharacteristic
319C2×C42×C29C2311yescharacteristic
320C2×C42×C29C2311yescharacteristic
321C2×C42×C29C2311yescharacteristic
322C2×C42×C29C2311yescharacteristic
323C2×C42×C29C2311yescharacteristic
324C2×C42×C29C2311yescharacteristic
325C2×C42×C29C2311yescharacteristic
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
358C29×#95C2311yescharacteristic
359C29×#95C2311yescharacteristic
360C29×#95C2311yescharacteristic
361C29×#95C2311yescharacteristic
362C29×#95C2311yescharacteristic
363C29×#95C2311yescharacteristic
364C29×#95C2311yescharacteristic
365C29×#95C2311yescharacteristic
366C29×#95C2311yescharacteristic
367C29×#95C2311yescharacteristic
368C29×#95C2311yescharacteristic
369C29×#95C2311yescharacteristic
370C24×C29—22no—
371C24×C29—22no—
372C24×C29—41no—
373C24×C29—41no—
374C24×C29—41no—
375C24×C29—41no—
376C24×C29C22×C414yes—
377C24×C29C2411yescharacteristic
378C24×C29C2411yescharacteristic
379C24×C29C2411yescharacteristic
380C24×C29C2411yescharacteristic
381C2×Q8×C29—41no—
382C2×Q8×C29—41no—
383C2×Q8×C29C22×C414yes—
384C2×D4×C29—22no—
385C2×D4×C29—22no—
386C2×D4×C29—41no—
387C2×D4×C29—41no—
388C2×D4×C29—41no—
389C2×D4×C29—41no—
390C2×D4×C29C22×C414yes—
391C2×D4×C29C22×C414yes—
392C2×D4×C29C22×C414yes—
393C22×C4×C29—22no—
394C22×C4×C29—22no—
395C22×C4×C29—22no—
396C22×C4×C29—22no—
397C22×C4×C29—22no—
398C22×C4×C29—22no—
399C22×C4×C29—22no—
400C22×C4×C29—22no—
401C22×C4×C29—22no—
402C22×C4×C29—22no—
403C22×C4×C29—41no—
404C22×C4×C29—41no—
405C22×C4×C29—41no—
406C22×C4×C29—41no—
407C22×C4×C29—41no—
408C22×C4×C29—41no—
409C22×C4×C29—41no—
410C22×C4×C29—41no—
411C22×C4×C29—41no—
412C22×C4×C29—41no—
413C22×C4×C29—41no—
414C22×C4×C29—41no—
415C22×C4×C29—41no—
416C22×C4×C29—41no—
417C22×C4×C29—41no—
418C22×C4×C29—41no—
419C22×C4×C29—41no—
420C22×C4×C29—41no—
421C22×C4×C29—41no—
422C22×C4×C29—41no—
423C22×C4×C29—41no—
424C22×C4×C29—41no—
425C22×C4×C29—41no—
426C22×C4×C29C22×C414yes—
427C22×C4×C29C22×C414yes—
428C22×C4×C29C22×C414yes—
429C22×C4×C29C22×C414yes—
430C22×C4×C29C22×C414yes—
431C22×C4×C29#4114yes—
432C22×C4×C29C2411yescharacteristic
433C22×C4×C29C2411yescharacteristic
434C22×C4×C29C2411yescharacteristic
435C22×C4×C29C2411yescharacteristic
436C22×C4×C29C2411yescharacteristic
437C22×C4×C29C2411yescharacteristic
438C22×C4×C29C2411yescharacteristic
439C22×C4×C29C2411yescharacteristic
440C22×C4×C29C2411yescharacteristic
441C22×C4×C29C2411yescharacteristic
442C22×C4×C29C2411yescharacteristic
443C22×C4×C29C2411yescharacteristic
444C22×C4×C29C2411yescharacteristic
445C22×C4×C29C2411yescharacteristic
446C22×C4×C29C2411yescharacteristic
447C22×C4×C29C2411yescharacteristic
448C22×C4×C29C2411yescharacteristic
449C22×C4×C29C2411yescharacteristic
450C22×C4×C29C2411yescharacteristic
451C22×C4×C29C2411yescharacteristic
452C22×C4×C29C2411yescharacteristic
453C22×C4×C29C2411yescharacteristic
454C22×C4×C29C2411yescharacteristic
455C22×C4×C29C2411yescharacteristic
456C22×C4×C29C2411yescharacteristic
457C22×C4×C29C2411yescharacteristic
458C22×C4×C29C2411yescharacteristic
459C4⋊C4×C29—22no—
460C4⋊C4×C29—22no—
461C4⋊C4×C29—22no—
462C4⋊C4×C29—22no—
463C4⋊C4×C29—22no—
464C4⋊C4×C29—22no—
465C4⋊C4×C29—22no—
466C4⋊C4×C29—41no—
467C4⋊C4×C29—41no—
468C4⋊C4×C29—41no—
469C4⋊C4×C29—41no—
470C4⋊C4×C29—41no—
471C4⋊C4×C29—41no—
472C4⋊C4×C29—41no—
473C4⋊C4×C29—41no—
474C4⋊C4×C29—41no—
475C4⋊C4×C29—41no—
476C4⋊C4×C29—41no—
477C4⋊C4×C29C22×C414yes—
478C4⋊C4×C29C22×C414yes—
479C4⋊C4×C29C22×C414yes—
480C4⋊C4×C29C22×C414yes—
481C4⋊C4×C29C22×C414yes—
482C4⋊C4×C29C22×C414yes—
483C4⋊C4×C29C22×C414yes—
484C4⋊C4×C29C22×C414yes—
485C22⋊C4×C29—22no—
486C22⋊C4×C29—22no—
487C22⋊C4×C29—22no—
488C22⋊C4×C29—22no—
489C22⋊C4×C29—22no—
490C22⋊C4×C29—22no—
491C22⋊C4×C29—22no—
492C22⋊C4×C29—22no—
493C22⋊C4×C29—22no—
494C22⋊C4×C29—22no—
495C22⋊C4×C29—22no—
496C22⋊C4×C29—22no—
497C22⋊C4×C29—22no—
498C22⋊C4×C29—22no—
499C22⋊C4×C29—41no—
500C22⋊C4×C29—41no—
501C22⋊C4×C29—41no—
502C22⋊C4×C29—41no—
503C22⋊C4×C29—41no—
504C22⋊C4×C29—41no—
505C22⋊C4×C29—41no—
506C22⋊C4×C29—41no—
507C22⋊C4×C29—41no—
508C22⋊C4×C29C22×C414yes—
509C22⋊C4×C29C22×C414yes—
510C22⋊C4×C29C22×C414yes—
511C22⋊C4×C29C22×C414yes—
512C22⋊C4×C29C22×C414yes—
513C22⋊C4×C29C22×C414yes—
514C22⋊C4×C29C22×C414yes—
515C22⋊C4×C29C22×C414yes—
516C22⋊C4×C29C22×C414yes—
517C22⋊C4×C29C22×C414yes—
518C22⋊C4×C29C22×C414yes—
519C22⋊C4×C29C22×C414yes—
520C22⋊C4×C29C22×C414yes—
521C22⋊C4×C29C22×C414yes—
522C22⋊C4×C29#4114yes—
523C42×C29—22no—
524C42×C29—22no—
525C42×C29—22no—
526C42×C29—22no—
527C42×C29—22no—
528C42×C29—22no—
529C42×C29—22no—
530C42×C29—22no—
531C42×C29—22no—
532C42×C29—22no—
533C42×C29—41no—
534C42×C29—41no—
535C42×C29—41no—
536C42×C29—41no—
537C42×C29—41no—
538C42×C29—41no—
539C42×C29—41no—
540C42×C29—41no—
541C42×C29—41no—
542C42×C29—41no—
543C42×C29—41no—
544C42×C29—41no—
545C42×C29—41no—
546C42×C29—41no—
547C42×C29—41no—
548C42×C29—41no—
549C42×C29C22×C414yes—
550C42×C29C22×C414yes—
551C42×C29C22×C414yes—
552#34303C2911yesmaximal, characteristic, direct product factor, Sylow
553C23×C29—21no—
554C23×C29—21no—
555C23×C29—21no—
556C23×C29—21no—
557C23×C29—21no—
558C23×C29—21no—
559C23×C29—21no—
560C23×C29—21no—
561C23×C29—21no—
562C23×C29—21no—
563C23×C29—21no—
564C23×C29—21no—
565C23×C29—21no—
566C23×C29—21no—
567C23×C29—21no—
568C23×C29—21no—
569C23×C29—21no—
570C23×C29—21no—
571C23×C29—21no—
572C23×C29—21no—
573C23×C29—21no—
574C23×C29—21no—
575C23×C29—28no—
576C23×C29—44no—
577C23×C29—44no—
578C23×C29—82no—
579C23×C29—82no—
580C23×C29—82no—
581C23×C29—82no—
582C23×C29C23×C412yes—
583C23×C29C23×C412yes—
584C23×C29C23×C412yes—
585C23×C29C23×C412yes—
586C23×C29C2×#4112yes—
587C23×C29C2×#4112yes—
588C23×C29C2511yescharacteristic
589Q8×C29—44no—
590D4×C29—28no—
591D4×C29—44no—
592D4×C29—44no—
593C2×C4×C29—28no—
594C2×C4×C29—21no—
595C2×C4×C29—21no—
596C2×C4×C29—21no—
597C2×C4×C29—21no—
598C2×C4×C29—21no—
599C2×C4×C29—21no—
600C2×C4×C29—21no—
601C2×C4×C29—21no—
602C2×C4×C29—21no—
603C2×C4×C29—21no—
604C2×C4×C29—21no—
605C2×C4×C29—21no—
606C2×C4×C29—21no—
607C2×C4×C29—21no—
608C2×C4×C29—21no—
609C2×C4×C29—21no—
610C2×C4×C29—21no—
611C2×C4×C29—21no—
612C2×C4×C29—21no—
613C2×C4×C29—21no—
614C2×C4×C29—21no—
615C2×C4×C29—21no—
616C2×C4×C29—21no—
617C2×C4×C29—21no—
618C2×C4×C29—21no—
619C2×C4×C29—21no—
620C2×C4×C29—21no—
621C2×C4×C29—21no—
622C2×C4×C29—21no—
623C2×C4×C29—21no—
624C2×C4×C29—21no—
625C2×C4×C29—21no—
626C2×C4×C29—21no—
627C2×C4×C29—21no—
628C2×C4×C29—21no—
629C2×C4×C29—21no—
630C2×C4×C29—21no—
631C2×C4×C29—21no—
632C2×C4×C29—21no—
633C2×C4×C29—21no—
634C2×C4×C29—21no—
635C2×C4×C29—21no—
636C2×C4×C29—21no—
637C2×C4×C29—21no—
638C2×C4×C29—21no—
639C2×C4×C29—21no—
640C2×C4×C29—21no—
641C2×C4×C29—21no—
642C2×C4×C29—21no—
643C2×C4×C29—21no—
644C2×C4×C29—21no—
645C2×C4×C29—21no—
646C2×C4×C29—21no—
647C2×C4×C29—21no—
648C2×C4×C29—21no—
649C2×C4×C29—21no—
650C2×C4×C29—21no—
651C2×C4×C29—21no—
652C2×C4×C29—21no—
653C2×C4×C29—21no—
654C2×C4×C29—21no—
655C2×C4×C29—21no—
656C2×C4×C29—21no—
657C2×C4×C29—21no—
658C2×C4×C29—21no—
659C2×C4×C29—44no—
660C2×C4×C29—44no—
661C2×C4×C29—44no—
662C2×C4×C29—44no—
663C2×C4×C29—44no—
664C2×C4×C29—44no—
665C2×C4×C29—82no—
666C2×C4×C29—82no—
667C2×C4×C29—82no—
668C2×C4×C29—82no—
669C2×C4×C29—82no—
670C2×C4×C29—82no—
671C2×C4×C29C23×C412yes—
672C2×C4×C29C23×C412yes—
673C2×C4×C29C23×C412yes—
674C2×C4×C29C23×C412yes—
675C2×C4×C29C23×C412yes—
676C2×C4×C29C23×C412yes—
677C2×C4×C29C23×C412yes—
678C2×C4×C29C23×C412yes—
679C2×C4×C29C23×C412yes—
680C2×C4×C29C23×C412yes—
681C2×C4×C29C23×C412yes—
682C2×C4×C29C2×#4112yes—
683C2×C4×C29C2×#4112yes—
684C2×C4×C29C2×#4112yes—
685C2×C4×C29C2×#4112yes—
686C2×C4×C29H(5,𝔽2)12yes—
687C2×#551C2×C2911yescharacteristic
688#2374C2×C2911yescharacteristic, complemented
689#2373C2×C2911yescharacteristic, complemented
690#2373C2×C2911yescharacteristic, complemented
691#2372C2×C2911yescharacteristic, complemented
692#2362C2×C2911yescharacteristic, complemented
693#2360C2×C2911yescharacteristic, complemented
694#2359C2×C2911yescharacteristic, complemented
695#2359C2×C2911yescharacteristic, complemented
696#2358C2×C2911yescharacteristic
697#2353C2×C2911yescharacteristic, complemented
698#2352C2×C2911yescharacteristic, complemented
699#2346C2×C2911yescharacteristic, complemented
700#2343C2×C2911yescharacteristic, complemented
701#2342C2×C2911yescharacteristic, complemented
702#2342C2×C2911yescharacteristic, complemented
703#2335C2×C2911yescharacteristic, complemented
704#2335C2×C2911yescharacteristic, complemented
705#2334C2×C2911yescharacteristic, complemented
706#2332C2×C2911yescharacteristic, complemented
707#2329C2×C2911yescharacteristic, complemented
708#2321C2×C2911yescharacteristic
709C4×#126C2×C2911yescharacteristic, complemented
710C4×#124C2×C2911yescharacteristic, complemented
711C4×#123C2×C2911yescharacteristic, complemented
712#2298C2×C2911yescharacteristic, complemented
713#2293C2×C2911yescharacteristic, complemented
714C2×#388C2×C2911yescharacteristic, complemented
715#2275C2×C2911yescharacteristic, complemented
716#2273C2×C2911yescharacteristic, complemented
717C4×#117C2×C2911yescharacteristic, complemented
718C22×C29—22no—
719C22×C29—22no—
720C22×C29—22no—
721C22×C29—22no—
722C22×C29—22no—
723C22×C29—22no—
724C22×C29—22no—
725C22×C29—22no—
726C22×C29—22no—
727C22×C29—22no—
728C22×C29—22no—
729C22×C29—22no—
730C22×C29—22no—
731C22×C29—22no—
732C22×C29—22no—
733C22×C29—41no—
734C22×C29—41no—
735C22×C29—41no—
736C22×C29—41no—
737C22×C29—41no—
738C22×C29—41no—
739C22×C29—41no—
740C22×C29—41no—
741C22×C29—41no—
742C22×C29—41no—
743C22×C29—41no—
744C22×C29—41no—
745C22×C29—88no—
746C22×C29C4×#4114yes—
747C22×C29C24×C411yescharacteristic
748C22×C29C22×#4111yescharacteristic
749C22×C29C22×#4111yescharacteristic
750C22×C29C2×H(5,𝔽2)11yescharacteristic
751C22×C29#58511yescharacteristic
752C22×C29#58511yescharacteristic
753C22×C29#58511yescharacteristic
754C4×C29—22no—
755C4×C29—22no—
756C4×C29—22no—
757C4×C29—22no—
758C4×C29—22no—
759C4×C29—22no—
760C4×C29—22no—
761C4×C29—22no—
762C4×C29—22no—
763C4×C29—22no—
764C4×C29—22no—
765C4×C29—22no—
766C4×C29—22no—
767C4×C29—22no—
768C4×C29—22no—
769C4×C29—22no—
770C4×C29—41no—
771C4×C29—41no—
772C4×C29—41no—
773C4×C29—41no—
774C4×C29—41no—
775C4×C29—41no—
776C4×C29—41no—
777C4×C29—41no—
778C4×C29—41no—
779C4×C29—41no—
780C4×C29—41no—
781#551C4×C29116yescomplemented
782C2×#126C22×C2911yescharacteristic
783C2×#126C22×C2911yescharacteristic
784C2×#124C22×C2911yescharacteristic
785C2×#123C22×C2911yescharacteristic
786C2×#123C22×C2911yescharacteristic
787C2×#123C22×C2911yescharacteristic
788C2×C22⋊Q8C22×C2911yescharacteristic
789C2×C22⋊Q8C22×C2911yescharacteristic
790C2×#120C22×C2911yescharacteristic
791C2×C4×Q8C22×C2911yescharacteristic, complemented
792C2×C4×D4C22×C2911yescharacteristic
793C2×C4×D4C22×C2911yescharacteristic
794C2×C4×D4C22×C2911yescharacteristic
795C2×C4×D4C22×C2911yescharacteristic
796C2×C4×D4C22×C2911yescharacteristic
797C2×#117C22×C2911yescharacteristic
798C2×#117C22×C2911yescharacteristic
799C2×#117C22×C2911yescharacteristic
800C2×#117C22×C2911yescharacteristic
801C2×#117C22×C2911yescharacteristic, complemented
802C22×C4⋊C4C22×C2911yescharacteristic
803C22×C22⋊C4C22×C2911yescharacteristic
804C22×C22⋊C4C22×C2911yescharacteristic
805C22×C22⋊C4C22×C2911yescharacteristic
806C22×C22⋊C4C22×C2911yescharacteristic
807C22×C22⋊C4C22×C2911yescharacteristic
808C22×C42C22×C2911yescharacteristic
809#391C22×C2911yescharacteristic, complemented
810#391C22×C2911yescharacteristic, complemented
811#391C22×C2911yescharacteristic, complemented
812#390C22×C2911yescharacteristic
813#390C22×C2911yescharacteristic
814#390C22×C2911yescharacteristic
815#389C22×C2911yescharacteristic, complemented
816#389C22×C2911yescharacteristic, complemented
817#389C22×C2911yescharacteristic, complemented
818#389C22×C2911yescharacteristic, complemented
819#389C22×C2911yescharacteristic, complemented
820#389C22×C2911yescharacteristic, complemented
821#388C22×C2911yescharacteristic
822#388C22×C2911yescharacteristic
823#388C22×C2911yescharacteristic
824#388C22×C2911yescharacteristic
825#388C22×C2911yescharacteristic
826#388C22×C2911yescharacteristic
827#388C22×C2911yescharacteristic
828#388C22×C2911yescharacteristic
829#388C22×C2911yescharacteristic
830#388C22×C2911yescharacteristic
831#388C22×C2911yescharacteristic
832#388C22×C2911yescharacteristic
833#388C22×C2911yescharacteristic
834#388C22×C2911yescharacteristic
835#388C22×C2911yescharacteristic
836#388C22×C2911yescharacteristic
837#388C22×C2911yescharacteristic
838#388C22×C2911yescharacteristic
839#388C22×C2911yescharacteristic
840#388C22×C2911yescharacteristic
841#388C22×C2911yescharacteristic
842#388C22×C2911yescharacteristic
843#388C22×C2911yescharacteristic, complemented
844#388C22×C2911yescharacteristic, complemented
845#388C22×C2911yescharacteristic, complemented
846#388C22×C2911yescharacteristic, complemented
847#388C22×C2911yescharacteristic, complemented
848#388C22×C2911yescharacteristic, complemented
849#387C22×C2911yescharacteristic, complemented
850#387C22×C2911yescharacteristic, complemented
851#387C22×C2911yescharacteristic, complemented
852#387C22×C2911yescharacteristic, complemented
853#387C22×C2911yescharacteristic, complemented
854#387C22×C2911yescharacteristic, complemented
855#387C22×C2911yescharacteristic, complemented
856#387C22×C2911yescharacteristic, complemented
857#387C22×C2911yescharacteristic, complemented
858#387C22×C2911yescharacteristic, complemented
859#387C22×C2911yescharacteristic, complemented
860#387C22×C2911yescharacteristic, complemented
861#387C22×C2911yescharacteristic, complemented
862#387C22×C2911yescharacteristic, complemented
863#387C22×C2911yescharacteristic, complemented
864#387C22×C2911yescharacteristic, complemented
865#386C22×C2911yescharacteristic
866#386C22×C2911yescharacteristic
867#386C22×C2911yescharacteristic
868#386C22×C2911yescharacteristic
869#386C22×C2911yescharacteristic
870#386C22×C2911yescharacteristic
871#385C22×C2911yescharacteristic
872#385C22×C2911yescharacteristic
873#385C22×C2911yescharacteristic
874#385C22×C2911yescharacteristic
875#385C22×C2911yescharacteristic
876#385C22×C2911yescharacteristic
877#385C22×C2911yescharacteristic
878#385C22×C2911yescharacteristic, complemented
879#383C22×C2911yescharacteristic, complemented
880#382C22×C2911yescharacteristic, complemented
881#382C22×C2911yescharacteristic, complemented
882#381C22×C2911yescharacteristic
883#381C22×C2911yescharacteristic
884#380C22×C2911yescharacteristic
885#380C22×C2911yescharacteristic
886#380C22×C2911yescharacteristic, complemented
887#379C22×C2911yescharacteristic
888C4×C4⋊C4C22×C2911yescharacteristic, complemented
889C4×C4⋊C4C22×C2911yescharacteristic, complemented
890C4×C4⋊C4C22×C2911yescharacteristic, complemented
891C4×C4⋊C4C22×C2911yescharacteristic, complemented
892C4×C4⋊C4C22×C2911yescharacteristic, complemented
893C4×C4⋊C4C22×C2911yescharacteristic, complemented
894C4×C4⋊C4C22×C2911yescharacteristic, complemented
895C4×C4⋊C4C22×C2911yescharacteristic, complemented
896C4×C4⋊C4C22×C2911yescharacteristic, complemented
897C4×C4⋊C4C22×C2911yescharacteristic, complemented
898C4×C4⋊C4C22×C2911yescharacteristic, complemented
899C4×C4⋊C4C22×C2911yescharacteristic, complemented
900C4×C4⋊C4C22×C2911yescharacteristic, complemented
901C4×C22⋊C4C22×C2911yescharacteristic
902C4×C22⋊C4C22×C2911yescharacteristic
903C4×C22⋊C4C22×C2911yescharacteristic
904C4×C22⋊C4C22×C2911yescharacteristic
905C4×C22⋊C4C22×C2911yescharacteristic
906C4×C22⋊C4C22×C2911yescharacteristic
907C4×C22⋊C4C22×C2911yescharacteristic
908C4×C22⋊C4C22×C2911yescharacteristic
909C4×C22⋊C4C22×C2911yescharacteristic
910C4×C22⋊C4C22×C2911yescharacteristic
911C4×C22⋊C4C22×C2911yescharacteristic
912C4×C22⋊C4C22×C2911yescharacteristic
913C4×C22⋊C4C22×C2911yescharacteristic
914C4×C22⋊C4C22×C2911yescharacteristic
915C4×C22⋊C4C22×C2911yescharacteristic
916C4×C22⋊C4C22×C2911yescharacteristic
917C4×C22⋊C4C22×C2911yescharacteristic
918C4×C22⋊C4C22×C2911yescharacteristic
919C4×C22⋊C4C22×C2911yescharacteristic
920C4×C22⋊C4C22×C2911yescharacteristic
921C4×C22⋊C4C22×C2911yescharacteristic
922C4×C22⋊C4C22×C2911yescharacteristic, complemented
923C4×C22⋊C4C22×C2911yescharacteristic, complemented
924C4×C22⋊C4C22×C2911yescharacteristic, complemented
925C4×C22⋊C4C22×C2911yescharacteristic, complemented
926C4×C22⋊C4C22×C2911yescharacteristic, complemented
927C4×C22⋊C4C22×C2911yescharacteristic, complemented
928#376C22×C2911yescharacteristic, complemented
929#376C22×C2911yescharacteristic, complemented
930#376C22×C2911yescharacteristic, complemented
931#376C22×C2911yescharacteristic, complemented
932C2×#95C22×C2911yescharacteristic
933C2×#95C22×C2911yescharacteristic
934C2×#95C22×C2911yescharacteristic, complemented
935C43C22×C2911yescharacteristic, complemented
936C43C22×C2911yescharacteristic, complemented
937C2×C29—24no—
938C2×C29—42no—
939C2×C29—42no—
940C2×C29—42no—
941C2×C29C2×C4×#4111yescharacteristic
942C2×C29#342811yescharacteristic
943C2×C29C4×H(5,𝔽2)11yescharacteristic
944C2×C29#349111yescharacteristic
945C2×C29#349411yescharacteristic
946C2×C29#351411yescharacteristic
947C2×C29#352111yescharacteristic
948C25C23×C2911yescharacteristic
949C22×Q8C23×C2911yescharacteristic
950C22×D4C23×C2911yescharacteristic
951C22×D4C23×C2911yescharacteristic
952C22×D4C23×C2911yescharacteristic
953C23×C4C23×C2911yescharacteristic
954C23×C4C23×C2911yescharacteristic
955C23×C4C23×C2911yescharacteristic
956C23×C4C23×C2911yescharacteristic
957C23×C4C23×C2911yescharacteristic
958C23×C4C23×C2911yescharacteristic
959C23×C4C23×C2911yescharacteristic
960C23×C4C23×C2911yescharacteristic
961C23×C4C23×C2911yescharacteristic
962C23×C4C23×C2911yescharacteristic
963C23×C4C23×C2911yescharacteristic
964C23×C4C23×C2911yescharacteristic
965C23×C4C23×C2911yescharacteristic
966#126C2×C4×C2918yescomplemented
967#126C2×C4×C2918yescomplemented
968#124C2×C4×C2918yescomplemented
969#123C2×C4×C2918yescomplemented
970#123C2×C4×C2918yescomplemented
971#123C2×C4×C2918yescomplemented
972C22⋊Q8C2×C4×C2918yescomplemented
973C22⋊Q8C2×C4×C2918yescomplemented
974#120C2×C4×C2918yes—
975C4×Q8—42no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—42no—
979C4×D4C2×C4×C2918yescomplemented
980C4×D4C2×C4×C2918yescomplemented
981#117—24no—
982#117—42no—
983#117—42no—
984#117C2×C4×C2918yescomplemented
985#117C2×C4×C2918yescomplemented
986C2×C4⋊C4—42no—
987C2×C4⋊C4C23×C2911yescharacteristic
988C2×C4⋊C4C23×C2911yescharacteristic
989C2×C4⋊C4C23×C2911yescharacteristic
990C2×C4⋊C4C23×C2911yescharacteristic
991C2×C4⋊C4C23×C2911yescharacteristic
992C2×C4⋊C4C23×C2911yescharacteristic
993C2×C4⋊C4C23×C2911yescharacteristic
994C2×C4⋊C4C23×C2911yescharacteristic
995C2×C4⋊C4C23×C2911yescharacteristic
996C2×C4⋊C4C23×C2911yescharacteristic
997C2×C4⋊C4C23×C2911yescharacteristic
998C2×C4⋊C4C23×C2911yescharacteristic
999C2×C4⋊C4C23×C2911yescharacteristic
1000C2×C4⋊C4C23×C2911yescharacteristic
1001C2×C4⋊C4C23×C2911yescharacteristic
1002C2×C4⋊C4C23×C2911yescharacteristic
1003C2×C4⋊C4C23×C2911yescharacteristic
1004C2×C4⋊C4C23×C2911yescharacteristic
1005C2×C4⋊C4C23×C2911yescharacteristic
1006C2×C4⋊C4C23×C2911yescharacteristic
1007C2×C4⋊C4C23×C2911yescharacteristic
1008C2×C4⋊C4C23×C2911yescharacteristic
1009C2×C4⋊C4C23×C2911yescharacteristic
1010C2×C4⋊C4C23×C2911yescharacteristic
1011C2×C4⋊C4C23×C2911yescharacteristic
1012C2×C4⋊C4C23×C2911yescharacteristic
1013C2×C22⋊C4—24no—
1014C2×C22⋊C4—24no—
1015C2×C22⋊C4—42no—
1016C2×C22⋊C4C2×C4×C2918yescomplemented
1017C2×C22⋊C4C2×C4×C2918yescomplemented
1018C2×C22⋊C4C23×C2911yescharacteristic
1019C2×C22⋊C4C23×C2911yescharacteristic
1020C2×C22⋊C4C23×C2911yescharacteristic
1021C2×C22⋊C4C23×C2911yescharacteristic
1022C2×C22⋊C4C23×C2911yescharacteristic
1023C2×C22⋊C4C23×C2911yescharacteristic
1024C2×C22⋊C4C23×C2911yescharacteristic
1025C2×C22⋊C4C23×C2911yescharacteristic
1026C2×C22⋊C4C23×C2911yescharacteristic
1027C2×C22⋊C4C23×C2911yescharacteristic
1028C2×C22⋊C4C23×C2911yescharacteristic
1029C2×C22⋊C4C23×C2911yescharacteristic
1030C2×C22⋊C4C23×C2911yescharacteristic
1031C2×C22⋊C4C23×C2911yescharacteristic
1032C2×C22⋊C4C23×C2911yescharacteristic
1033C2×C22⋊C4C23×C2911yescharacteristic
1034C2×C22⋊C4C23×C2911yescharacteristic
1035C2×C22⋊C4C23×C2911yescharacteristic
1036C2×C22⋊C4C23×C2911yescharacteristic
1037C2×C22⋊C4C23×C2911yescharacteristic
1038C2×C22⋊C4C23×C2911yescharacteristic
1039C2×C22⋊C4C23×C2911yescharacteristic
1040C2×C22⋊C4C23×C2911yescharacteristic
1041C2×C22⋊C4C23×C2911yescharacteristic
1042C2×C22⋊C4C23×C2911yescharacteristic
1043C2×C22⋊C4C23×C2911yescharacteristic
1044C2×C22⋊C4C23×C2911yescharacteristic
1045C2×C22⋊C4C23×C2911yescharacteristic
1046C2×C22⋊C4C23×C2911yescharacteristic
1047C2×C22⋊C4C23×C2911yescharacteristic
1048C2×C22⋊C4C23×C2911yescharacteristic
1049C2×C22⋊C4C23×C2911yescharacteristic
1050C2×C22⋊C4C23×C2911yescharacteristic
1051C2×C22⋊C4C23×C2911yescharacteristic
1052C2×C22⋊C4C23×C2911yescharacteristic
1053C2×C22⋊C4C23×C2911yescharacteristic
1054C2×C22⋊C4C23×C2911yescharacteristic
1055C2×C22⋊C4C23×C2911yescharacteristic
1056C2×C42—24no—
1057C2×C42C23×C2911yescharacteristic
1058C2×C42C23×C2911yescharacteristic
1059C2×C42C23×C2911yescharacteristic
1060C2×C42C23×C2911yescharacteristic
1061C2×C42C23×C2911yescharacteristic
1062C2×C42C23×C2911yescharacteristic
1063C2×C42C23×C2911yescharacteristic
1064C2×C42C23×C2911yescharacteristic
1065C2×C42C23×C2911yescharacteristic
1066C2×C42C23×C2911yescharacteristic
1067C2×C42C23×C2911yescharacteristic
1068C2×C42C23×C2911yescharacteristic
1069C2×C42C23×C2911yescharacteristic
1070C2×C42C23×C2911yescharacteristic
1071C2×C42C23×C2911yescharacteristic
1072C2×C42C23×C2911yescharacteristic
1073C2×C42C23×C2911yescharacteristic
1074C2×C42C23×C2911yescharacteristic
1075C2×C42C23×C2911yescharacteristic
1076C2×C42C23×C2911yescharacteristic
1077C2×C42C23×C2911yescharacteristic
1078C2×C42C23×C2911yescharacteristic
1079C2×C42C23×C2911yescharacteristic
1080C2×C42C23×C2911yescharacteristic
1081C2×C42C23×C2911yescharacteristic
1082C2×C42C23×C2911yescharacteristic
1083C2×C42C23×C2911yescharacteristic
1084C2×C42C23×C2911yescharacteristic
1085C2×C42C23×C2911yescharacteristic
1086#95C23×C2911yescharacteristic
1087#95C23×C2911yescharacteristic
1088#95C23×C2911yescharacteristic
1089#95C23×C2911yescharacteristic
1090#95C23×C2911yescharacteristic
1091#95C23×C2911yescharacteristic
1092#95C23×C2911yescharacteristic
1093#95C23×C2911yescharacteristic
1094#95C23×C2911yescharacteristic
1095#95C23×C2911yescharacteristic
1096#95C23×C2911yescharacteristic
1097#95C23×C2911yescharacteristic
1098#95C23×C2911yescharacteristic
1099#95C23×C2911yescharacteristic
1100#95C23×C2911yescharacteristic
1101#95C23×C2911yescharacteristic
1102#95C23×C2911yescharacteristic
1103#95C23×C2911yescharacteristic
1104#95C23×C2911yescharacteristic
1105#95C23×C2911yescharacteristic
1106#95C23×C2911yescharacteristic
1107#95C23×C2911yescharacteristic
1108#95C23×C2911yescharacteristic
1109#95C23×C2911yescharacteristic
1110#95C23×C2911yescharacteristic
1111#95C23×C2911yescharacteristic
1112#95C23×C2911yescharacteristic
1113#95C23×C2911yescharacteristic
1114#95C23×C2911yescharacteristic
1115#95C23×C2911yescharacteristic
1116#95C23×C2911yescharacteristic
1117#95C23×C2911yescharacteristic
1118#95C23×C2911yescharacteristic
1119#95C23×C2911yescharacteristic
1120#95C23×C2911yescharacteristic
1121#95C23×C2911yescharacteristic
1122#95C23×C2911yescharacteristic
1123#95C23×C2911yescharacteristic
1124#95C23×C2911yescharacteristic
1125#95C23×C2911yescharacteristic
1126#95C23×C2911yescharacteristic
1127#95C23×C2911yescharacteristic
1128#95C23×C2911yescharacteristic
1129#95C23×C2911yescharacteristic
1130C29#3430311yescharacteristic, direct product factor, Sylow
1131C24—22no—
1132C24—22no—
1133C24—41no—
1134C24—41no—
1135C24—41no—
1136C24—41no—
1137C24C22×C4×C2914yes—
1138C24C24×C2911yescharacteristic
1139C24C24×C2911yescharacteristic
1140C24C24×C2911yescharacteristic
1141C24C24×C2911yescharacteristic
1142C2×Q8—41no—
1143C2×Q8—41no—
1144C2×Q8C22×C4×C2914yes—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4C22×C4×C2914yes—
1152C2×D4C22×C4×C2914yes—
1153C2×D4C22×C4×C2914yes—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4C22×C4×C2914yes—
1188C22×C4C22×C4×C2914yes—
1189C22×C4C22×C4×C2914yes—
1190C22×C4C22×C4×C2914yes—
1191C22×C4C22×C4×C2914yes—
1192C22×C4#41×C2914yes—
1193C22×C4C24×C2911yescharacteristic
1194C22×C4C24×C2911yescharacteristic
1195C22×C4C24×C2911yescharacteristic
1196C22×C4C24×C2911yescharacteristic
1197C22×C4C24×C2911yescharacteristic
1198C22×C4C24×C2911yescharacteristic
1199C22×C4C24×C2911yescharacteristic
1200C22×C4C24×C2911yescharacteristic
1201C22×C4C24×C2911yescharacteristic
1202C22×C4C24×C2911yescharacteristic
1203C22×C4C24×C2911yescharacteristic
1204C22×C4C24×C2911yescharacteristic
1205C22×C4C24×C2911yescharacteristic
1206C22×C4C24×C2911yescharacteristic
1207C22×C4C24×C2911yescharacteristic
1208C22×C4C24×C2911yescharacteristic
1209C22×C4C24×C2911yescharacteristic
1210C22×C4C24×C2911yescharacteristic
1211C22×C4C24×C2911yescharacteristic
1212C22×C4C24×C2911yescharacteristic
1213C22×C4C24×C2911yescharacteristic
1214C22×C4C24×C2911yescharacteristic
1215C22×C4C24×C2911yescharacteristic
1216C22×C4C24×C2911yescharacteristic
1217C22×C4C24×C2911yescharacteristic
1218C22×C4C24×C2911yescharacteristic
1219C22×C4C24×C2911yescharacteristic
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4C22×C4×C2914yes—
1239C4⋊C4C22×C4×C2914yes—
1240C4⋊C4C22×C4×C2914yes—
1241C4⋊C4C22×C4×C2914yes—
1242C4⋊C4C22×C4×C2914yes—
1243C4⋊C4C22×C4×C2914yes—
1244C4⋊C4C22×C4×C2914yes—
1245C4⋊C4C22×C4×C2914yes—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4C22×C4×C2914yes—
1270C22⋊C4C22×C4×C2914yes—
1271C22⋊C4C22×C4×C2914yes—
1272C22⋊C4C22×C4×C2914yes—
1273C22⋊C4C22×C4×C2914yes—
1274C22⋊C4C22×C4×C2914yes—
1275C22⋊C4C22×C4×C2914yes—
1276C22⋊C4C22×C4×C2914yes—
1277C22⋊C4C22×C4×C2914yes—
1278C22⋊C4C22×C4×C2914yes—
1279C22⋊C4C22×C4×C2914yes—
1280C22⋊C4C22×C4×C2914yes—
1281C22⋊C4C22×C4×C2914yes—
1282C22⋊C4C22×C4×C2914yes—
1283C22⋊C4#41×C2914yes—
1284C42—22no—
1285C42—22no—
1286C42—22no—
1287C42—22no—
1288C42—22no—
1289C42—22no—
1290C42—22no—
1291C42—22no—
1292C42—22no—
1293C42—22no—
1294C42—41no—
1295C42—41no—
1296C42—41no—
1297C42—41no—
1298C42—41no—
1299C42—41no—
1300C42—41no—
1301C42—41no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42C22×C4×C2914yes—
1311C42C22×C4×C2914yes—
1312C42C22×C4×C2914yes—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—28no—
1336C23—44no—
1337C23—44no—
1338C23—82no—
1339C23—82no—
1340C23—82no—
1341C23—82no—
1342C23C23×C4×C2912yes—
1343C23C23×C4×C2912yes—
1344C23C23×C4×C2912yes—
1345C23C23×C4×C2912yes—
1346C23C2×#41×C2912yes—
1347C23C2×#41×C2912yes—
1348C23C25×C2911yescharacteristic
1349Q8—44no—
1350D4—28no—
1351D4—44no—
1352D4—44no—
1353C2×C4—28no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—44no—
1423C2×C4—44no—
1424C2×C4—44no—
1425C2×C4—82no—
1426C2×C4—82no—
1427C2×C4—82no—
1428C2×C4—82no—
1429C2×C4—82no—
1430C2×C4—82no—
1431C2×C4C23×C4×C2912yes—
1432C2×C4C23×C4×C2912yes—
1433C2×C4C23×C4×C2912yes—
1434C2×C4C23×C4×C2912yes—
1435C2×C4C23×C4×C2912yes—
1436C2×C4C23×C4×C2912yes—
1437C2×C4C23×C4×C2912yes—
1438C2×C4C23×C4×C2912yes—
1439C2×C4C23×C4×C2912yes—
1440C2×C4C23×C4×C2912yes—
1441C2×C4C23×C4×C2912yes—
1442C2×C4C2×#41×C2912yes—
1443C2×C4C2×#41×C2912yes—
1444C2×C4C2×#41×C2912yes—
1445C2×C4C2×#41×C2912yes—
1446C2×C4C29×H(5,𝔽2)12yes—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—88no—
1475C22C4×#41×C2914yes—
1476C22C24×C4×C2911yescharacteristic
1477C22C22×#41×C2911yescharacteristic
1478C22C22×#41×C2911yescharacteristic
1479C22C2×C29×H(5,𝔽2)11yescharacteristic
1480C22C29×#58511yescharacteristic
1481C22C29×#58511yescharacteristic
1482C22C29×#58511yescharacteristic
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—22no—
1489C4—22no—
1490C4—22no—
1491C4—22no—
1492C4—22no—
1493C4—22no—
1494C4—22no—
1495C4—22no—
1496C4—22no—
1497C4—22no—
1498C4—22no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C2—24no—
1511C2—42no—
1512C2—42no—
1513C2—42no—
1514C2C2×C4×#41×C2911yescharacteristic
1515C2C29×#342811yescharacteristic
1516C2C4×C29×H(5,𝔽2)11yescharacteristic
1517C2C29×#349111yescharacteristic
1518C2C29×#349411yescharacteristic
1519C2C29×#351411yescharacteristic
1520C2C29×#352111yescharacteristic
subgroupG/H
center, socleC23×C29C25
commutatorC22C24×C4×C29
Frattini, cosocleC23C25×C29
prime radicalC2×C29×#120C22
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C29 ◁ G

Complements

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

NH ≅ G/Ntype
2. C29×#2374C2semidirect
3. C29×#2373C2semidirect
4. C29×#2373C2semidirect
5. C29×#2372C2semidirect
6. C29×#2362C2semidirect
7. C29×#2360C2semidirect
8. C29×#2359C2semidirect
9. C29×#2359C2semidirect
11. C29×#2353C2semidirect
12. C29×#2352C2semidirect
13. C29×#2346C2semidirect
14. C29×#2343C2semidirect
15. C29×#2342C2semidirect
16. C29×#2342C2semidirect
17. C29×#2335C2semidirect
18. C29×#2335C2semidirect
19. C29×#2334C2semidirect
20. C29×#2332C2semidirect
21. C29×#2329C2semidirect
23. C4×C29×#126C2semidirect
24. C4×C29×#124C2semidirect
25. C4×C29×#123C2semidirect
26. C29×#2298C2semidirect
27. C29×#2293C2semidirect
28. C2×C29×#388C2semidirect
29. C29×#2275C2semidirect
30. C29×#2273C2semidirect
31. C4×C29×#117C2semidirect
32. C29×#551C4semidirect
42. C2×C4×Q8×C29C22semidirect
52. C2×C29×#117C22semidirect
60. C29×#391C22semidirect
61. C29×#391C22semidirect
62. C29×#391C22semidirect
66. C29×#389C22semidirect
67. C29×#389C22semidirect
68. C29×#389C22semidirect
69. C29×#389C22semidirect
70. C29×#389C22semidirect
71. C29×#389C22semidirect
94. C29×#388C22semidirect
95. C29×#388C22semidirect
96. C29×#388C22semidirect
97. C29×#388C22semidirect
98. C29×#388C22semidirect
99. C29×#388C22semidirect
100. C29×#387C22semidirect
101. C29×#387C22semidirect
102. C29×#387C22semidirect
103. C29×#387C22semidirect
104. C29×#387C22semidirect
105. C29×#387C22semidirect
106. C29×#387C22semidirect
107. C29×#387C22semidirect
108. C29×#387C22semidirect
109. C29×#387C22semidirect
110. C29×#387C22semidirect
111. C29×#387C22semidirect
112. C29×#387C22semidirect
113. C29×#387C22semidirect
114. C29×#387C22semidirect
115. C29×#387C22semidirect
129. C29×#385C22semidirect
130. C29×#383C22semidirect
131. C29×#382C22semidirect
132. C29×#382C22semidirect
137. C29×#380C22semidirect
139. C4×C4⋊C4×C29C22semidirect
140. C4×C4⋊C4×C29C22semidirect
141. C4×C4⋊C4×C29C22semidirect
142. C4×C4⋊C4×C29C22semidirect
143. C4×C4⋊C4×C29C22semidirect
144. C4×C4⋊C4×C29C22semidirect
145. C4×C4⋊C4×C29C22semidirect
146. C4×C4⋊C4×C29C22semidirect
147. C4×C4⋊C4×C29C22semidirect
148. C4×C4⋊C4×C29C22semidirect
149. C4×C4⋊C4×C29C22semidirect
150. C4×C4⋊C4×C29C22semidirect
151. C4×C4⋊C4×C29C22semidirect
173. C4×C22⋊C4×C29C22semidirect
174. C4×C22⋊C4×C29C22semidirect
175. C4×C22⋊C4×C29C22semidirect
176. C4×C22⋊C4×C29C22semidirect
177. C4×C22⋊C4×C29C22semidirect
178. C4×C22⋊C4×C29C22semidirect
179. C29×#376C22semidirect
180. C29×#376C22semidirect
181. C29×#376C22semidirect
182. C29×#376C22semidirect
185. C2×C29×#95C22semidirect
186. C43×C29C22semidirect
187. C43×C29C22semidirect
206. C29×#126C2×C4semidirect
207. C29×#126C2×C4semidirect
208. C29×#124C2×C4semidirect
209. C29×#123C2×C4semidirect
210. C29×#123C2×C4semidirect
211. C29×#123C2×C4semidirect
212. C29×C22⋊Q8C2×C4semidirect
213. C29×C22⋊Q8C2×C4semidirect
219. C4×D4×C29C2×C4semidirect
220. C4×D4×C29C2×C4semidirect
224. C29×#117C2×C4semidirect
225. C29×#117C2×C4semidirect
256. C2×C22⋊C4×C29C2×C4semidirect
257. C2×C22⋊C4×C29C2×C4semidirect
552. #34303C29direct (N × H)
688. #2374C2×C29semidirect
689. #2373C2×C29semidirect
690. #2373C2×C29semidirect
691. #2372C2×C29semidirect
692. #2362C2×C29semidirect
693. #2360C2×C29semidirect
694. #2359C2×C29semidirect
695. #2359C2×C29semidirect
697. #2353C2×C29semidirect
698. #2352C2×C29semidirect
699. #2346C2×C29semidirect
700. #2343C2×C29semidirect
701. #2342C2×C29semidirect
702. #2342C2×C29semidirect
703. #2335C2×C29semidirect
704. #2335C2×C29semidirect
705. #2334C2×C29semidirect
706. #2332C2×C29semidirect
707. #2329C2×C29semidirect
709. C4×#126C2×C29semidirect
710. C4×#124C2×C29semidirect
711. C4×#123C2×C29semidirect
712. #2298C2×C29semidirect
713. #2293C2×C29semidirect
714. C2×#388C2×C29semidirect
715. #2275C2×C29semidirect
716. #2273C2×C29semidirect
717. C4×#117C2×C29semidirect
781. #551C4×C29semidirect
791. C2×C4×Q8C22×C29semidirect
801. C2×#117C22×C29semidirect
809. #391C22×C29semidirect
810. #391C22×C29semidirect
811. #391C22×C29semidirect
815. #389C22×C29semidirect
816. #389C22×C29semidirect
817. #389C22×C29semidirect
818. #389C22×C29semidirect
819. #389C22×C29semidirect
820. #389C22×C29semidirect
843. #388C22×C29semidirect
844. #388C22×C29semidirect
845. #388C22×C29semidirect
846. #388C22×C29semidirect
847. #388C22×C29semidirect
848. #388C22×C29semidirect
849. #387C22×C29semidirect
850. #387C22×C29semidirect
851. #387C22×C29semidirect
852. #387C22×C29semidirect
853. #387C22×C29semidirect
854. #387C22×C29semidirect
855. #387C22×C29semidirect
856. #387C22×C29semidirect
857. #387C22×C29semidirect
858. #387C22×C29semidirect
859. #387C22×C29semidirect
860. #387C22×C29semidirect
861. #387C22×C29semidirect
862. #387C22×C29semidirect
863. #387C22×C29semidirect
864. #387C22×C29semidirect
878. #385C22×C29semidirect
879. #383C22×C29semidirect
880. #382C22×C29semidirect
881. #382C22×C29semidirect
886. #380C22×C29semidirect
888. C4×C4⋊C4C22×C29semidirect
889. C4×C4⋊C4C22×C29semidirect
890. C4×C4⋊C4C22×C29semidirect
891. C4×C4⋊C4C22×C29semidirect
892. C4×C4⋊C4C22×C29semidirect
893. C4×C4⋊C4C22×C29semidirect
894. C4×C4⋊C4C22×C29semidirect
895. C4×C4⋊C4C22×C29semidirect
896. C4×C4⋊C4C22×C29semidirect
897. C4×C4⋊C4C22×C29semidirect
898. C4×C4⋊C4C22×C29semidirect
899. C4×C4⋊C4C22×C29semidirect
900. C4×C4⋊C4C22×C29semidirect
922. C4×C22⋊C4C22×C29semidirect
923. C4×C22⋊C4C22×C29semidirect
924. C4×C22⋊C4C22×C29semidirect
925. C4×C22⋊C4C22×C29semidirect
926. C4×C22⋊C4C22×C29semidirect
927. C4×C22⋊C4C22×C29semidirect
928. #376C22×C29semidirect
929. #376C22×C29semidirect
930. #376C22×C29semidirect
931. #376C22×C29semidirect
934. C2×#95C22×C29semidirect
935. C43C22×C29semidirect
936. C43C22×C29semidirect
966. #126C2×C4×C29semidirect
967. #126C2×C4×C29semidirect
968. #124C2×C4×C29semidirect
969. #123C2×C4×C29semidirect
970. #123C2×C4×C29semidirect
971. #123C2×C4×C29semidirect
972. C22⋊Q8C2×C4×C29semidirect
973. C22⋊Q8C2×C4×C29semidirect
979. C4×D4C2×C4×C29semidirect
980. C4×D4C2×C4×C29semidirect
984. #117C2×C4×C29semidirect
985. #117C2×C4×C29semidirect
1016. C2×C22⋊C4C2×C4×C29semidirect
1017. C2×C22⋊C4C2×C4×C29semidirect
1130. C29#34303direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C29×#5512
C29×#23742
C29×#23732
C29×#23722
C29×#23622
C29×#23602
C29×#23592
C29×#23582
C29×#23532
C29×#23522
C29×#23462
C29×#23432
C29×#23422
C29×#23352
C29×#23342
C29×#23322
C29×#23292
C29×#23212
C4×C29×#1262
C4×C29×#1242
C4×C29×#1232
C29×#22982
C29×#22932
C2×C29×#3882
C29×#22752
C29×#22732
C4×C29×#1172
#3430329