Finite Group Databasebeta

← C29×#34808 #20329708

Subgroups — C29×#34808 #20329708

Order 7424.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1350 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#2533C211yesmaximal, characteristic, complemented
2C29×#2532C211yesmaximal, characteristic, complemented
3C29×#2529C211yesmaximal, characteristic, complemented
4C29×#2528C211yesmaximal, characteristic, complemented
5C29×#2525C211yesmaximal, characteristic, complemented
6C29×#2524C211yesmaximal, characteristic, complemented
7C29×#2520C211yesmaximal, characteristic, complemented
8C29×#2519C211yesmaximal, characteristic, complemented
9C29×#2498C211yesmaximal, characteristic
10C29×#2493C211yesmaximal, characteristic, complemented
11C29×#2488C211yesmaximal, characteristic
12C29×#2484C211yesmaximal, characteristic, complemented
13C29×#2481C211yesmaximal, characteristic
14C29×#2473C211yesmaximal, characteristic, complemented
15C29×#2438C211yesmaximal, characteristic, complemented
16C29×#2413C211yesmaximal, characteristic
17C29×#2402C211yesmaximal, characteristic, complemented
18C29×#2402C211yesmaximal, characteristic, complemented
19C29×#2401C211yesmaximal, characteristic, complemented
20C29×#2396C211yesmaximal, characteristic, complemented
21C4×C29×#125C211yesmaximal, characteristic, complemented
22C4×C29×#126C211yesmaximal, characteristic, complemented
23C4×C29×C22⋊Q8C211yesmaximal, characteristic, complemented
24C4×C29×#123C211yesmaximal, characteristic
25C4×C29×#123C211yesmaximal, characteristic
26C29×#2298C211yesmaximal, characteristic, complemented
27C29×#2295C211yesmaximal, characteristic, complemented
28C29×#2290C211yesmaximal, characteristic
29C29×#2283C211yesmaximal, characteristic, complemented
30C4×C29×#117C211yesmaximal, characteristic, complemented
31C2×C4×C4⋊C4×C29C211yesmaximal, characteristic, complemented
32C2×C29×#126C2211yescharacteristic
33C2×C29×#125C2211yescharacteristic
34C2×C29×#123C2211yescharacteristic
35C2×C29×#123C2211yescharacteristic
36C2×C29×C22⋊Q8C2211yescharacteristic
37C2×C4×Q8×C29C2211yescharacteristic
38C2×C4×D4×C29C2211yescharacteristic
39C2×C29×#117C2211yescharacteristic
40C2×C29×#117C2211yescharacteristic
41C2×C29×#117C2211yescharacteristic
42C22×C4⋊C4×C29C2211yescharacteristic
43C22×C4⋊C4×C29C2211yescharacteristic
44C22×C42×C29C2211yescharacteristic
45C22×C42×C29C2211yescharacteristic
46C22×C42×C29C2211yescharacteristic
47C29×#401C2211yescharacteristic
48C29×#400C2211yescharacteristic
49C29×#400C2211yescharacteristic
50C29×#400C2211yescharacteristic
51C29×#400C2211yescharacteristic
52C29×#400C2211yescharacteristic
53C29×#400C2211yescharacteristic
54C29×#400C2211yescharacteristic
55C29×#400C2211yescharacteristic
56C29×#400C2211yescharacteristic
57C29×#400C2211yescharacteristic
58C29×#400C2211yescharacteristic
59C29×#400C2211yescharacteristic
60C29×#399C2211yescharacteristic
61C29×#398C2211yescharacteristic
62C29×#398C2211yescharacteristic
63C29×#398C2211yescharacteristic
64C29×#398C2211yescharacteristic
65C29×#398C2211yescharacteristic
66C29×#398C2211yescharacteristic
67C29×#398C2211yescharacteristic
68C29×#398C2211yescharacteristic
69C29×#398C2211yescharacteristic
70C29×#398C2211yescharacteristic
71C29×#397C2211yescharacteristic
72C29×#397C2211yescharacteristic
73C29×#397C2211yescharacteristic
74C29×#396C2211yescharacteristic
75C29×#396C2211yescharacteristic
76C29×#396C2211yescharacteristic
77C29×#395C2211yescharacteristic
78C29×#393C2211yescharacteristic
79C29×#391C2211yescharacteristic
80C29×#391C2211yescharacteristic
81C29×#391C2211yescharacteristic
82C29×#389C2211yescharacteristic
83C29×#389C2211yescharacteristic
84C29×#389C2211yescharacteristic
85C29×#389C2211yescharacteristic
86C29×#389C2211yescharacteristic
87C29×#388C2211yescharacteristic
88C29×#388C2211yescharacteristic
89C29×#388C2211yescharacteristic
90C29×#388C2211yescharacteristic
91C29×#388C2211yescharacteristic
92C29×#388C2211yescharacteristic
93C29×#388C2211yescharacteristic
94C29×#388C2211yescharacteristic
95C29×#388C2211yescharacteristic
96C29×#388C2211yescharacteristic
97C29×#388C2211yescharacteristic
98C29×#388C2211yescharacteristic
99C29×#388C2211yescharacteristic
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×#386C2211yescharacteristic
124C29×#386C2211yescharacteristic
125C29×#386C2211yescharacteristic
126C29×#386C2211yescharacteristic
127C29×#385C2211yescharacteristic
128C29×#385C2211yescharacteristic
129C29×#385C2211yescharacteristic
130C29×#385C2211yescharacteristic
131C29×#385C2211yescharacteristic
132C29×#385C2211yescharacteristic
133C29×#383C2211yescharacteristic
134C29×#383C2211yescharacteristic
135C29×#383C2211yescharacteristic
136C29×#382C2211yescharacteristic
137C29×#382C2211yescharacteristic
138C29×#382C2211yescharacteristic
139C29×#381C2211yescharacteristic
140C29×#381C2211yescharacteristic
141C29×#381C2211yescharacteristic
142C29×#381C2211yescharacteristic
143C29×#380C2211yescharacteristic
144C29×#380C2211yescharacteristic
145C29×#380C2211yescharacteristic
146C4×C4⋊C4×C29C2211yescharacteristic
147C4×C4⋊C4×C29C2211yescharacteristic
148C4×C4⋊C4×C29C2211yescharacteristic
149C4×C4⋊C4×C29C2211yescharacteristic
150C4×C4⋊C4×C29C2211yescharacteristic
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×C22⋊C4×C29C2211yescharacteristic
169C4×C22⋊C4×C29C2211yescharacteristic
170C4×C22⋊C4×C29C2211yescharacteristic
171C4×C22⋊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
178C29×#376C2211yescharacteristic
179C29×#376C2211yescharacteristic
180C29×#376C2211yescharacteristic
181C29×#376C2211yescharacteristic
182C29×#376C2211yescharacteristic
183C2×C29×#95C2211yescharacteristic
184C2×C29×#95C2211yescharacteristic
185C43×C29C2211yescharacteristic
186C43×C29C2211yescharacteristic
187C22×Q8×C29C2311yescharacteristic
188C22×D4×C29C2311yescharacteristic
189C23×C4×C29C2311yescharacteristic
190C23×C4×C29C2311yescharacteristic
191C23×C4×C29C2311yescharacteristic
192C23×C4×C29C2311yescharacteristic
193C23×C4×C29C2311yescharacteristic
194C23×C4×C29C2311yescharacteristic
195C23×C4×C29C2311yescharacteristic
196C23×C4×C29C2311yescharacteristic
197C29×#126—24no—
198C29×#125—24no—
199C29×#123—24no—
200C29×#123—24no—
201C29×C22⋊Q8—24no—
202C4×Q8×C29—24no—
203C4×D4×C29—24no—
204C29×#117—24no—
205C29×#117—24no—
206C29×#117—24no—
207C2×C4⋊C4×C29—24no—
208C2×C4⋊C4×C29—24no—
209C2×C4⋊C4×C29C2311yescharacteristic
210C2×C4⋊C4×C29C2311yescharacteristic
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×C22⋊C4×C29C2311yescharacteristic
248C2×C22⋊C4×C29C2311yescharacteristic
249C2×C22⋊C4×C29C2311yescharacteristic
250C2×C22⋊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×C42×C29—24no—
268C2×C42×C29—24no—
269C2×C42×C29—24no—
270C2×C42×C29C2311yescharacteristic
271C2×C42×C29C2311yescharacteristic
272C2×C42×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
297C29×#95C2311yescharacteristic
298C29×#95C2311yescharacteristic
299C29×#95C2311yescharacteristic
300C29×#95C2311yescharacteristic
301C29×#95C2311yescharacteristic
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
357C24×C29C2411yescharacteristic
358C24×C29C2411yescharacteristic
359C2×Q8×C29—22no—
360C2×Q8×C29—22no—
361C2×Q8×C29—41no—
362C2×D4×C29—22no—
363C2×D4×C29—22no—
364C2×D4×C29—22no—
365C22×C4×C29—22no—
366C22×C4×C29—22no—
367C22×C4×C29—22no—
368C22×C4×C29—22no—
369C22×C4×C29—22no—
370C22×C4×C29—22no—
371C22×C4×C29—22no—
372C22×C4×C29—22no—
373C22×C4×C29—22no—
374C22×C4×C29—22no—
375C22×C4×C29—22no—
376C22×C4×C29—22no—
377C22×C4×C29—22no—
378C22×C4×C29—22no—
379C22×C4×C29—22no—
380C22×C4×C29—22no—
381C22×C4×C29—22no—
382C22×C4×C29—22no—
383C22×C4×C29—22no—
384C22×C4×C29—41no—
385C22×C4×C29—41no—
386C22×C4×C29—41no—
387C22×C4×C29#4114yes—
388C22×C4×C29#4114yes—
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
413C22×C4×C29C2411yescharacteristic
414C22×C4×C29C2411yescharacteristic
415C22×C4×C29C2411yescharacteristic
416C22×C4×C29C2411yescharacteristic
417C22×C4×C29C2411yescharacteristic
418C4⋊C4×C29—22no—
419C4⋊C4×C29—22no—
420C4⋊C4×C29—22no—
421C4⋊C4×C29—22no—
422C4⋊C4×C29—22no—
423C4⋊C4×C29—22no—
424C4⋊C4×C29—22no—
425C4⋊C4×C29—22no—
426C4⋊C4×C29—22no—
427C4⋊C4×C29—22no—
428C4⋊C4×C29—22no—
429C4⋊C4×C29—22no—
430C4⋊C4×C29—22no—
431C4⋊C4×C29—22no—
432C4⋊C4×C29—22no—
433C4⋊C4×C29—22no—
434C4⋊C4×C29—22no—
435C4⋊C4×C29—22no—
436C4⋊C4×C29—22no—
437C4⋊C4×C29—22no—
438C4⋊C4×C29—22no—
439C4⋊C4×C29—22no—
440C4⋊C4×C29—22no—
441C4⋊C4×C29—22no—
442C4⋊C4×C29—22no—
443C4⋊C4×C29—22no—
444C4⋊C4×C29—22no—
445C4⋊C4×C29—22no—
446C4⋊C4×C29—22no—
447C4⋊C4×C29—22no—
448C4⋊C4×C29—22no—
449C4⋊C4×C29—41no—
450C4⋊C4×C29—41no—
451C4⋊C4×C29—41no—
452C4⋊C4×C29—41no—
453C4⋊C4×C29—41no—
454C4⋊C4×C29—41no—
455C4⋊C4×C29#4114yes—
456C22⋊C4×C29—22no—
457C22⋊C4×C29—22no—
458C22⋊C4×C29—22no—
459C22⋊C4×C29—22no—
460C22⋊C4×C29—22no—
461C22⋊C4×C29—22no—
462C22⋊C4×C29—22no—
463C22⋊C4×C29—22no—
464C22⋊C4×C29—22no—
465C22⋊C4×C29—22no—
466C22⋊C4×C29—22no—
467C22⋊C4×C29—22no—
468C22⋊C4×C29—22no—
469C22⋊C4×C29—22no—
470C22⋊C4×C29—22no—
471C22⋊C4×C29—22no—
472C22⋊C4×C29—41no—
473C22⋊C4×C29—41no—
474C22⋊C4×C29—41no—
475C22⋊C4×C29#4114yes—
476C42×C29—22no—
477C42×C29—22no—
478C42×C29—22no—
479C42×C29—22no—
480C42×C29—22no—
481C42×C29—22no—
482C42×C29—22no—
483C42×C29—22no—
484C42×C29—22no—
485C42×C29—22no—
486C42×C29—22no—
487C42×C29—22no—
488C42×C29—22no—
489C42×C29—22no—
490C42×C29—22no—
491C42×C29—22no—
492C42×C29—22no—
493C42×C29—22no—
494C42×C29—22no—
495C42×C29—22no—
496C42×C29—22no—
497C42×C29—22no—
498C42×C29—22no—
499C42×C29—22no—
500C42×C29—41no—
501C42×C29—41no—
502C42×C29#4114yes—
503#34808C2911yesmaximal, characteristic, direct product factor, Sylow
504C23×C29—21no—
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×C29C2×#4112yes—
516C23×C29C2×#4112yes—
517C23×C29C2×#4112yes—
518C23×C29C2511yescharacteristic
519Q8×C29—44no—
520D4×C29—44no—
521C2×C4×C29—28no—
522C2×C4×C29—28no—
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—28no—
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—21no—
596C2×C4×C29—21no—
597C2×C4×C29—21no—
598C2×C4×C29—44no—
599C2×C4×C29—44no—
600C2×C4×C29—44no—
601C2×C4×C29—44no—
602C2×C4×C29—44no—
603C2×C4×C29C2×#4112yes—
604C2×C4×C29C2×#4112yes—
605C2×C4×C29C2×#4112yes—
606C2×C4×C29C2×#4112yes—
607C2×C4×C29C2×#4112yes—
608C2×C4×C29C2×#4112yes—
609C2×C4×C29C2×#4112yes—
610C2×C4×C29C2×#4112yes—
611C2×C4×C29C2×#4112yes—
612C2×C4×C29C2×#4112yes—
613C2×C4×C29C2×#4112yes—
614C2×C4×C29C2×#4112yes—
615C2×C4×C292−1+412yes—
616#2533C2×C2911yescharacteristic, complemented
617#2532C2×C2911yescharacteristic, complemented
618#2529C2×C2911yescharacteristic, complemented
619#2528C2×C2911yescharacteristic, complemented
620#2525C2×C2911yescharacteristic, complemented
621#2524C2×C2911yescharacteristic, complemented
622#2520C2×C2911yescharacteristic, complemented
623#2519C2×C2911yescharacteristic, complemented
624#2498C2×C2911yescharacteristic
625#2493C2×C2911yescharacteristic, complemented
626#2488C2×C2911yescharacteristic
627#2484C2×C2911yescharacteristic, complemented
628#2481C2×C2911yescharacteristic
629#2473C2×C2911yescharacteristic, complemented
630#2438C2×C2911yescharacteristic, complemented
631#2413C2×C2911yescharacteristic
632#2402C2×C2911yescharacteristic, complemented
633#2402C2×C2911yescharacteristic, complemented
634#2401C2×C2911yescharacteristic, complemented
635#2396C2×C2911yescharacteristic, complemented
636C4×#125C2×C2911yescharacteristic, complemented
637C4×#126C2×C2911yescharacteristic, complemented
638C4×C22⋊Q8C2×C2911yescharacteristic, complemented
639C4×#123C2×C2911yescharacteristic
640C4×#123C2×C2911yescharacteristic
641#2298C2×C2911yescharacteristic, complemented
642#2295C2×C2911yescharacteristic, complemented
643#2290C2×C2911yescharacteristic
644#2283C2×C2911yescharacteristic, complemented
645C4×#117C2×C2911yescharacteristic, complemented
646C2×C4×C4⋊C4C2×C2911yescharacteristic, complemented
647C22×C29—22no—
648C22×C29—22no—
649C22×C29—22no—
650C22×C29—22no—
651C22×C29—22no—
652C22×C29—22no—
653C22×C29—41no—
654C22×C29—41no—
655C22×C29—41no—
656C22×C29—41no—
657C22×C29—41no—
658C22×C29—41no—
659C22×C29—41no—
660C22×C29#52914yes—
661C22×C29C22×#4111yescharacteristic
662C22×C29C22×#4111yescharacteristic
663C22×C29C22×#4111yescharacteristic
664C22×C29C22×#4111yescharacteristic
665C22×C29C22×#4111yescharacteristic
666C22×C29C2×2−1+411yescharacteristic
667C22×C29#58511yescharacteristic
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—41no—
679C4×C29—41no—
680C4×C29—41no—
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—
696C4×C29#55214yes—
697C2×#126C22×C2911yescharacteristic
698C2×#125C22×C2911yescharacteristic
699C2×#123C22×C2911yescharacteristic
700C2×#123C22×C2911yescharacteristic
701C2×C22⋊Q8C22×C2911yescharacteristic
702C2×C4×Q8C22×C2911yescharacteristic
703C2×C4×D4C22×C2911yescharacteristic
704C2×#117C22×C2911yescharacteristic
705C2×#117C22×C2911yescharacteristic
706C2×#117C22×C2911yescharacteristic
707C22×C4⋊C4C22×C2911yescharacteristic
708C22×C4⋊C4C22×C2911yescharacteristic
709C22×C42C22×C2911yescharacteristic
710C22×C42C22×C2911yescharacteristic
711C22×C42C22×C2911yescharacteristic
712#401C22×C2911yescharacteristic
713#400C22×C2911yescharacteristic
714#400C22×C2911yescharacteristic
715#400C22×C2911yescharacteristic
716#400C22×C2911yescharacteristic
717#400C22×C2911yescharacteristic
718#400C22×C2911yescharacteristic
719#400C22×C2911yescharacteristic
720#400C22×C2911yescharacteristic
721#400C22×C2911yescharacteristic
722#400C22×C2911yescharacteristic
723#400C22×C2911yescharacteristic
724#400C22×C2911yescharacteristic
725#399C22×C2911yescharacteristic
726#398C22×C2911yescharacteristic
727#398C22×C2911yescharacteristic
728#398C22×C2911yescharacteristic
729#398C22×C2911yescharacteristic
730#398C22×C2911yescharacteristic
731#398C22×C2911yescharacteristic
732#398C22×C2911yescharacteristic
733#398C22×C2911yescharacteristic
734#398C22×C2911yescharacteristic
735#398C22×C2911yescharacteristic
736#397C22×C2911yescharacteristic
737#397C22×C2911yescharacteristic
738#397C22×C2911yescharacteristic
739#396C22×C2911yescharacteristic
740#396C22×C2911yescharacteristic
741#396C22×C2911yescharacteristic
742#395C22×C2911yescharacteristic
743#393C22×C2911yescharacteristic
744#391C22×C2911yescharacteristic
745#391C22×C2911yescharacteristic
746#391C22×C2911yescharacteristic
747#389C22×C2911yescharacteristic
748#389C22×C2911yescharacteristic
749#389C22×C2911yescharacteristic
750#389C22×C2911yescharacteristic
751#389C22×C2911yescharacteristic
752#388C22×C2911yescharacteristic
753#388C22×C2911yescharacteristic
754#388C22×C2911yescharacteristic
755#388C22×C2911yescharacteristic
756#388C22×C2911yescharacteristic
757#388C22×C2911yescharacteristic
758#388C22×C2911yescharacteristic
759#388C22×C2911yescharacteristic
760#388C22×C2911yescharacteristic
761#388C22×C2911yescharacteristic
762#388C22×C2911yescharacteristic
763#388C22×C2911yescharacteristic
764#388C22×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#386C22×C2911yescharacteristic
789#386C22×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#383C22×C2911yescharacteristic
799#383C22×C2911yescharacteristic
800#383C22×C2911yescharacteristic
801#382C22×C2911yescharacteristic
802#382C22×C2911yescharacteristic
803#382C22×C2911yescharacteristic
804#381C22×C2911yescharacteristic
805#381C22×C2911yescharacteristic
806#381C22×C2911yescharacteristic
807#381C22×C2911yescharacteristic
808#380C22×C2911yescharacteristic
809#380C22×C2911yescharacteristic
810#380C22×C2911yescharacteristic
811C4×C4⋊C4C22×C2911yescharacteristic
812C4×C4⋊C4C22×C2911yescharacteristic
813C4×C4⋊C4C22×C2911yescharacteristic
814C4×C4⋊C4C22×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×C22⋊C4C22×C2911yescharacteristic
834C4×C22⋊C4C22×C2911yescharacteristic
835C4×C22⋊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
843#376C22×C2911yescharacteristic
844#376C22×C2911yescharacteristic
845#376C22×C2911yescharacteristic
846#376C22×C2911yescharacteristic
847#376C22×C2911yescharacteristic
848C2×#95C22×C2911yescharacteristic
849C2×#95C22×C2911yescharacteristic
850C43C22×C2911yescharacteristic
851C43C22×C2911yescharacteristic
852C2×C29—24no—
853C2×C29—81no—
854C2×C29C2×#52911yescharacteristic
855C2×C29#344411yescharacteristic
856C2×C29#346111yescharacteristic
857C2×C29C2×#55211yescharacteristic
858C2×C29#347511yescharacteristic
859C2×C29#347511yescharacteristic
860C2×C29#348211yescharacteristic
861C22×Q8C23×C2911yescharacteristic
862C22×D4C23×C2911yescharacteristic
863C23×C4C23×C2911yescharacteristic
864C23×C4C23×C2911yescharacteristic
865C23×C4C23×C2911yescharacteristic
866C23×C4C23×C2911yescharacteristic
867C23×C4C23×C2911yescharacteristic
868C23×C4C23×C2911yescharacteristic
869C23×C4C23×C2911yescharacteristic
870C23×C4C23×C2911yescharacteristic
871#126—24no—
872#125—24no—
873#123—24no—
874#123—24no—
875C22⋊Q8—24no—
876C4×Q8—24no—
877C4×D4—24no—
878#117—24no—
879#117—24no—
880#117—24no—
881C2×C4⋊C4—24no—
882C2×C4⋊C4—24no—
883C2×C4⋊C4C23×C2911yescharacteristic
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×C22⋊C4C23×C2911yescharacteristic
922C2×C22⋊C4C23×C2911yescharacteristic
923C2×C22⋊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×C42—24no—
942C2×C42—24no—
943C2×C42—24no—
944C2×C42C23×C2911yescharacteristic
945C2×C42C23×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
971#95C23×C2911yescharacteristic
972#95C23×C2911yescharacteristic
973#95C23×C2911yescharacteristic
974#95C23×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#3480811yescharacteristic, direct product factor, Sylow
1032C24C24×C2911yescharacteristic
1033C24C24×C2911yescharacteristic
1034C2×Q8—22no—
1035C2×Q8—22no—
1036C2×Q8—41no—
1037C2×D4—22no—
1038C2×D4—22no—
1039C2×D4—22no—
1040C22×C4—22no—
1041C22×C4—22no—
1042C22×C4—22no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—41no—
1060C22×C4—41no—
1061C22×C4—41no—
1062C22×C4#41×C2914yes—
1063C22×C4#41×C2914yes—
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
1087C22×C4C24×C2911yescharacteristic
1088C22×C4C24×C2911yescharacteristic
1089C22×C4C24×C2911yescharacteristic
1090C22×C4C24×C2911yescharacteristic
1091C22×C4C24×C2911yescharacteristic
1092C22×C4C24×C2911yescharacteristic
1093C4⋊C4—22no—
1094C4⋊C4—22no—
1095C4⋊C4—22no—
1096C4⋊C4—22no—
1097C4⋊C4—22no—
1098C4⋊C4—22no—
1099C4⋊C4—22no—
1100C4⋊C4—22no—
1101C4⋊C4—22no—
1102C4⋊C4—22no—
1103C4⋊C4—22no—
1104C4⋊C4—22no—
1105C4⋊C4—22no—
1106C4⋊C4—22no—
1107C4⋊C4—22no—
1108C4⋊C4—22no—
1109C4⋊C4—22no—
1110C4⋊C4—22no—
1111C4⋊C4—22no—
1112C4⋊C4—22no—
1113C4⋊C4—22no—
1114C4⋊C4—22no—
1115C4⋊C4—22no—
1116C4⋊C4—22no—
1117C4⋊C4—22no—
1118C4⋊C4—22no—
1119C4⋊C4—22no—
1120C4⋊C4—22no—
1121C4⋊C4—22no—
1122C4⋊C4—22no—
1123C4⋊C4—22no—
1124C4⋊C4—41no—
1125C4⋊C4—41no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C4⋊C4—41no—
1130C4⋊C4#41×C2914yes—
1131C22⋊C4—22no—
1132C22⋊C4—22no—
1133C22⋊C4—22no—
1134C22⋊C4—22no—
1135C22⋊C4—22no—
1136C22⋊C4—22no—
1137C22⋊C4—22no—
1138C22⋊C4—22no—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—22no—
1142C22⋊C4—22no—
1143C22⋊C4—22no—
1144C22⋊C4—22no—
1145C22⋊C4—22no—
1146C22⋊C4—22no—
1147C22⋊C4—41no—
1148C22⋊C4—41no—
1149C22⋊C4—41no—
1150C22⋊C4#41×C2914yes—
1151C42—22no—
1152C42—22no—
1153C42—22no—
1154C42—22no—
1155C42—22no—
1156C42—22no—
1157C42—22no—
1158C42—22no—
1159C42—22no—
1160C42—22no—
1161C42—22no—
1162C42—22no—
1163C42—22no—
1164C42—22no—
1165C42—22no—
1166C42—22no—
1167C42—22no—
1168C42—22no—
1169C42—22no—
1170C42—22no—
1171C42—22no—
1172C42—22no—
1173C42—22no—
1174C42—22no—
1175C42—41no—
1176C42—41no—
1177C42#41×C2914yes—
1178C23—21no—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23C2×#41×C2912yes—
1190C23C2×#41×C2912yes—
1191C23C2×#41×C2912yes—
1192C23C25×C2911yescharacteristic
1193Q8—44no—
1194D4—44no—
1195C2×C4—28no—
1196C2×C4—28no—
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—28no—
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—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—44no—
1273C2×C4—44no—
1274C2×C4—44no—
1275C2×C4—44no—
1276C2×C4—44no—
1277C2×C4C2×#41×C2912yes—
1278C2×C4C2×#41×C2912yes—
1279C2×C4C2×#41×C2912yes—
1280C2×C4C2×#41×C2912yes—
1281C2×C4C2×#41×C2912yes—
1282C2×C4C2×#41×C2912yes—
1283C2×C4C2×#41×C2912yes—
1284C2×C4C2×#41×C2912yes—
1285C2×C4C2×#41×C2912yes—
1286C2×C4C2×#41×C2912yes—
1287C2×C4C2×#41×C2912yes—
1288C2×C4C2×#41×C2912yes—
1289C2×C4C29×2−1+412yes—
1290C22—22no—
1291C22—22no—
1292C22—22no—
1293C22—22no—
1294C22—22no—
1295C22—22no—
1296C22—41no—
1297C22—41no—
1298C22—41no—
1299C22—41no—
1300C22—41no—
1301C22—41no—
1302C22—41no—
1303C22C29×#52914yes—
1304C22C22×#41×C2911yescharacteristic
1305C22C22×#41×C2911yescharacteristic
1306C22C22×#41×C2911yescharacteristic
1307C22C22×#41×C2911yescharacteristic
1308C22C22×#41×C2911yescharacteristic
1309C22C2×C29×2−1+411yescharacteristic
1310C22C29×#58511yescharacteristic
1311C4—22no—
1312C4—22no—
1313C4—22no—
1314C4—22no—
1315C4—22no—
1316C4—22no—
1317C4—22no—
1318C4—22no—
1319C4—22no—
1320C4—22no—
1321C4—41no—
1322C4—41no—
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—
1338C4—41no—
1339C4C29×#55214yes—
1340C2—24no—
1341C2—81no—
1342C2C2×C29×#52911yescharacteristic
1343C2C29×#344411yescharacteristic
1344C2C29×#346111yescharacteristic
1345C2C2×C29×#55211yescharacteristic
1346C2C29×#347511yescharacteristic
1347C2C29×#347511yescharacteristic
1348C2C29×#348211yescharacteristic
subgroupG/H
centerC22×C4×C29C24
commutator, Frattini, cosocleC23C25×C29
socleC23×C29C25
prime radicalC22×D4×C29C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#2533C2semidirect
2. C29×#2532C2semidirect
3. C29×#2529C2semidirect
4. C29×#2528C2semidirect
5. C29×#2525C2semidirect
6. C29×#2524C2semidirect
7. C29×#2520C2semidirect
8. C29×#2519C2semidirect
10. C29×#2493C2semidirect
12. C29×#2484C2semidirect
14. C29×#2473C2semidirect
15. C29×#2438C2semidirect
17. C29×#2402C2semidirect
18. C29×#2402C2semidirect
19. C29×#2401C2semidirect
20. C29×#2396C2semidirect
21. C4×C29×#125C2semidirect
22. C4×C29×#126C2semidirect
23. C4×C29×C22⋊Q8C2semidirect
26. C29×#2298C2semidirect
27. C29×#2295C2semidirect
29. C29×#2283C2semidirect
30. C4×C29×#117C2semidirect
31. C2×C4×C4⋊C4×C29C2semidirect
503. #34808C29direct (N × H)
616. #2533C2×C29semidirect
617. #2532C2×C29semidirect
618. #2529C2×C29semidirect
619. #2528C2×C29semidirect
620. #2525C2×C29semidirect
621. #2524C2×C29semidirect
622. #2520C2×C29semidirect
623. #2519C2×C29semidirect
625. #2493C2×C29semidirect
627. #2484C2×C29semidirect
629. #2473C2×C29semidirect
630. #2438C2×C29semidirect
632. #2402C2×C29semidirect
633. #2402C2×C29semidirect
634. #2401C2×C29semidirect
635. #2396C2×C29semidirect
636. C4×#125C2×C29semidirect
637. C4×#126C2×C29semidirect
638. C4×C22⋊Q8C2×C29semidirect
641. #2298C2×C29semidirect
642. #2295C2×C29semidirect
644. #2283C2×C29semidirect
645. C4×#117C2×C29semidirect
646. C2×C4×C4⋊C4C2×C29semidirect
1031. C29#34808direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#25332
C29×#25322
C29×#25292
C29×#25282
C29×#25252
C29×#25242
C29×#25202
C29×#25192
C29×#24982
C29×#24932
C29×#24882
C29×#24842
C29×#24812
C29×#24732
C29×#24382
C29×#24132
C29×#24022
C29×#24012
C29×#23962
C4×C29×#1252
C4×C29×#1262
C4×C29×C22⋊Q82
C4×C29×#1232
C29×#22982
C29×#22952
C29×#22902
C29×#22832
C4×C29×#1172
C2×C4×C4⋊C4×C292
#3480829