Finite Group Databasebeta

← C29×#34592 #20329492

Subgroups — C29×#34592 #20329492

Order 7424.

1752 conjugacy classes of subgroups.

The subgroup lattice has 1394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#2667C211yesmaximal, characteristic, complemented
2C29×#2666C211yesmaximal, characteristic, complemented
3C29×#2664C211yesmaximal, characteristic, complemented
4C29×#2663C211yesmaximal, characteristic, complemented
5C29×#2655C211yesmaximal, characteristic, complemented
6C29×#2654C211yesmaximal, characteristic, complemented
7C29×#2653C211yesmaximal, characteristic, complemented
8C29×#2652C211yesmaximal, characteristic, complemented
9C29×#2652C211yesmaximal, characteristic, complemented
10C29×#2652C211yesmaximal, characteristic, complemented
11C29×#2649C211yesmaximal, characteristic, complemented
12C29×#2649C211yesmaximal, characteristic, complemented
13C29×#2638C211yesmaximal, characteristic, complemented
14C29×#2636C211yesmaximal, characteristic
15C29×#2633C211yesmaximal, characteristic, complemented
16C29×#2630C211yesmaximal, characteristic
17C29×#2402C211yesmaximal, characteristic, complemented
18C29×#2401C211yesmaximal, characteristic, complemented
19C29×#2396C211yesmaximal, characteristic, complemented
20C29×#2396C211yesmaximal, characteristic, complemented
21C29×#2395C211yesmaximal, characteristic, complemented
22C29×#2395C211yesmaximal, characteristic, complemented
23C29×#2395C211yesmaximal, characteristic, complemented
24C29×#2392C211yesmaximal, characteristic
25C4×C29×#125C211yesmaximal, characteristic, complemented
26C4×C29×#126C211yesmaximal, characteristic, complemented
27C4×C29×C22⋊Q8C211yesmaximal, characteristic, complemented
28C4×C29×#123C211yesmaximal, characteristic, complemented
29C29×#2296C211yesmaximal, characteristic, complemented
30C29×#2290C211yesmaximal, characteristic, complemented
31C42×D4×C29C211yesmaximal, characteristic, complemented
32C2×C29×#126C2211yescharacteristic
33C2×C29×#125C2211yescharacteristic
34C2×C29×#123C2211yescharacteristic
35C2×C29×C22⋊Q8C2211yescharacteristic
36C2×C4×Q8×C29C2211yescharacteristic
37C2×C4×D4×C29C2211yescharacteristic
38C2×C4×D4×C29C2211yescharacteristic
39C2×C4×D4×C29C2211yescharacteristic
40C2×C4×D4×C29C2211yescharacteristic
41C2×C4×D4×C29C2211yescharacteristic
42C2×C29×#117C2211yescharacteristic
43C2×C29×#117C2211yescharacteristic
44C2×C29×#117C2211yescharacteristic
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×#399C2211yescharacteristic
62C29×#399C2211yescharacteristic
63C29×#399C2211yescharacteristic
64C29×#399C2211yescharacteristic
65C29×#398C2211yescharacteristic
66C29×#398C2211yescharacteristic
67C29×#398C2211yescharacteristic
68C29×#398C2211yescharacteristic
69C29×#398C2211yescharacteristic
70C29×#398C2211yescharacteristic
71C29×#398C2211yescharacteristic
72C29×#398C2211yescharacteristic
73C29×#398C2211yescharacteristic
74C29×#398C2211yescharacteristic
75C29×#398C2211yescharacteristic
76C29×#398C2211yescharacteristic
77C29×#397C2211yescharacteristic
78C29×#397C2211yescharacteristic
79C29×#397C2211yescharacteristic
80C29×#397C2211yescharacteristic
81C29×#397C2211yescharacteristic
82C29×#397C2211yescharacteristic
83C29×#397C2211yescharacteristic
84C29×#397C2211yescharacteristic
85C29×#397C2211yescharacteristic
86C29×#397C2211yescharacteristic
87C29×#397C2211yescharacteristic
88C29×#397C2211yescharacteristic
89C29×#397C2211yescharacteristic
90C29×#396C2211yescharacteristic
91C29×#396C2211yescharacteristic
92C29×#396C2211yescharacteristic
93C29×#396C2211yescharacteristic
94C29×#396C2211yescharacteristic
95C29×#396C2211yescharacteristic
96C29×#396C2211yescharacteristic
97C29×#395C2211yescharacteristic
98C29×#395C2211yescharacteristic
99C29×#394C2211yescharacteristic
100C29×#394C2211yescharacteristic
101C29×#394C2211yescharacteristic
102C29×#394C2211yescharacteristic
103C29×#394C2211yescharacteristic
104C29×#394C2211yescharacteristic
105C29×#394C2211yescharacteristic
106C29×#394C2211yescharacteristic
107C29×#394C2211yescharacteristic
108C29×#393C2211yescharacteristic
109C29×#393C2211yescharacteristic
110C29×#392C2211yescharacteristic
111C29×#391C2211yescharacteristic
112C29×#389C2211yescharacteristic
113C29×#389C2211yescharacteristic
114C29×#389C2211yescharacteristic
115C29×#389C2211yescharacteristic
116C29×#389C2211yescharacteristic
117C29×#389C2211yescharacteristic
118C29×#389C2211yescharacteristic
119C29×#388C2211yescharacteristic
120C29×#388C2211yescharacteristic
121C29×#388C2211yescharacteristic
122C29×#388C2211yescharacteristic
123C29×#388C2211yescharacteristic
124C29×#388C2211yescharacteristic
125C29×#388C2211yescharacteristic
126C29×#387C2211yescharacteristic
127C29×#387C2211yescharacteristic
128C29×#387C2211yescharacteristic
129C29×#387C2211yescharacteristic
130C29×#387C2211yescharacteristic
131C29×#387C2211yescharacteristic
132C29×#387C2211yescharacteristic
133C29×#387C2211yescharacteristic
134C29×#387C2211yescharacteristic
135C29×#387C2211yescharacteristic
136C29×#387C2211yescharacteristic
137C29×#387C2211yescharacteristic
138C29×#387C2211yescharacteristic
139C29×#386C2211yescharacteristic
140C29×#386C2211yescharacteristic
141C29×#386C2211yescharacteristic
142C29×#385C2211yescharacteristic
143C29×#385C2211yescharacteristic
144C29×#385C2211yescharacteristic
145C29×#385C2211yescharacteristic
146C29×#385C2211yescharacteristic
147C29×#385C2211yescharacteristic
148C29×#385C2211yescharacteristic
149C29×#385C2211yescharacteristic
150C29×#385C2211yescharacteristic
151C29×#383C2211yescharacteristic
152C29×#382C2211yescharacteristic
153C29×#381C2211yescharacteristic
154C29×#380C2211yescharacteristic
155C4×C4⋊C4×C29C2211yescharacteristic
156C4×C4⋊C4×C29C2211yescharacteristic
157C4×C4⋊C4×C29C2211yescharacteristic
158C4×C4⋊C4×C29C2211yescharacteristic
159C4×C4⋊C4×C29C2211yescharacteristic
160C4×C4⋊C4×C29C2211yescharacteristic
161C4×C4⋊C4×C29C2211yescharacteristic
162C4×C4⋊C4×C29C2211yescharacteristic
163C4×C4⋊C4×C29C2211yescharacteristic
164C4×C4⋊C4×C29C2211yescharacteristic
165C4×C4⋊C4×C29C2211yescharacteristic
166C4×C4⋊C4×C29C2211yescharacteristic
167C4×C4⋊C4×C29C2211yescharacteristic
168C4×C4⋊C4×C29C2211yescharacteristic
169C4×C4⋊C4×C29C2211yescharacteristic
170C4×C4⋊C4×C29C2211yescharacteristic
171C4×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
178C4×C22⋊C4×C29C2211yescharacteristic
179C4×C22⋊C4×C29C2211yescharacteristic
180C4×C22⋊C4×C29C2211yescharacteristic
181C4×C22⋊C4×C29C2211yescharacteristic
182C4×C22⋊C4×C29C2211yescharacteristic
183C4×C22⋊C4×C29C2211yescharacteristic
184C4×C22⋊C4×C29C2211yescharacteristic
185C29×#376C2211yescharacteristic
186C43×C29C2211yescharacteristic
187C22×Q8×C29C2311yescharacteristic
188C22×D4×C29C2311yescharacteristic
189C22×D4×C29C2311yescharacteristic
190C22×D4×C29C2311yescharacteristic
191C23×C4×C29C2311yescharacteristic
192C23×C4×C29C2311yescharacteristic
193C23×C4×C29C2311yescharacteristic
194C23×C4×C29C2311yescharacteristic
195C23×C4×C29C2311yescharacteristic
196C23×C4×C29C2311yescharacteristic
197C23×C4×C29C2311yescharacteristic
198C29×#126—24no—
199C29×#125—24no—
200C29×#123—24no—
201C29×C22⋊Q8—24no—
202C4×Q8×C29—42no—
203C4×D4×C29—24no—
204C4×D4×C29—24no—
205C4×D4×C29—24no—
206C4×D4×C29—24no—
207C4×D4×C29—42no—
208C29×#117—24no—
209C29×#117—42no—
210C29×#117—42no—
211C2×C4⋊C4×C29C2311yescharacteristic
212C2×C4⋊C4×C29C2311yescharacteristic
213C2×C4⋊C4×C29C2311yescharacteristic
214C2×C4⋊C4×C29C2311yescharacteristic
215C2×C4⋊C4×C29C2311yescharacteristic
216C2×C4⋊C4×C29C2311yescharacteristic
217C2×C4⋊C4×C29C2311yescharacteristic
218C2×C4⋊C4×C29C2311yescharacteristic
219C2×C4⋊C4×C29C2311yescharacteristic
220C2×C4⋊C4×C29C2311yescharacteristic
221C2×C4⋊C4×C29C2311yescharacteristic
222C2×C4⋊C4×C29C2311yescharacteristic
223C2×C4⋊C4×C29C2311yescharacteristic
224C2×C4⋊C4×C29C2311yescharacteristic
225C2×C4⋊C4×C29C2311yescharacteristic
226C2×C4⋊C4×C29C2311yescharacteristic
227C2×C4⋊C4×C29C2311yescharacteristic
228C2×C4⋊C4×C29C2311yescharacteristic
229C2×C4⋊C4×C29C2311yescharacteristic
230C2×C4⋊C4×C29C2311yescharacteristic
231C2×C4⋊C4×C29C2311yescharacteristic
232C2×C4⋊C4×C29C2311yescharacteristic
233C2×C4⋊C4×C29C2311yescharacteristic
234C2×C4⋊C4×C29C2311yescharacteristic
235C2×C4⋊C4×C29C2311yescharacteristic
236C2×C4⋊C4×C29C2311yescharacteristic
237C2×C4⋊C4×C29C2311yescharacteristic
238C2×C4⋊C4×C29C2311yescharacteristic
239C2×C4⋊C4×C29C2311yescharacteristic
240C2×C4⋊C4×C29C2311yescharacteristic
241C2×C4⋊C4×C29C2311yescharacteristic
242C2×C4⋊C4×C29C2311yescharacteristic
243C2×C4⋊C4×C29C2311yescharacteristic
244C2×C4⋊C4×C29C2311yescharacteristic
245C2×C4⋊C4×C29C2311yescharacteristic
246C2×C4⋊C4×C29C2311yescharacteristic
247C2×C4⋊C4×C29C2311yescharacteristic
248C2×C4⋊C4×C29C2311yescharacteristic
249C2×C4⋊C4×C29C2311yescharacteristic
250C2×C4⋊C4×C29C2311yescharacteristic
251C2×C22⋊C4×C29C2311yescharacteristic
252C2×C22⋊C4×C29C2311yescharacteristic
253C2×C22⋊C4×C29C2311yescharacteristic
254C2×C22⋊C4×C29C2311yescharacteristic
255C2×C22⋊C4×C29C2311yescharacteristic
256C2×C22⋊C4×C29C2311yescharacteristic
257C2×C22⋊C4×C29C2311yescharacteristic
258C2×C22⋊C4×C29C2311yescharacteristic
259C2×C22⋊C4×C29C2311yescharacteristic
260C2×C22⋊C4×C29C2311yescharacteristic
261C2×C22⋊C4×C29C2311yescharacteristic
262C2×C22⋊C4×C29C2311yescharacteristic
263C2×C22⋊C4×C29C2311yescharacteristic
264C2×C22⋊C4×C29C2311yescharacteristic
265C2×C22⋊C4×C29C2311yescharacteristic
266C2×C22⋊C4×C29C2311yescharacteristic
267C2×C22⋊C4×C29C2311yescharacteristic
268C2×C22⋊C4×C29C2311yescharacteristic
269C2×C22⋊C4×C29C2311yescharacteristic
270C2×C22⋊C4×C29C2311yescharacteristic
271C2×C22⋊C4×C29C2311yescharacteristic
272C2×C22⋊C4×C29C2311yescharacteristic
273C2×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×C42×C29—42no—
284C2×C42×C29—42no—
285C2×C42×C29C2311yescharacteristic
286C2×C42×C29C2311yescharacteristic
287C2×C42×C29C2311yescharacteristic
288C2×C42×C29C2311yescharacteristic
289C2×C42×C29C2311yescharacteristic
290C2×C42×C29C2311yescharacteristic
291C2×C42×C29C2311yescharacteristic
292C2×C42×C29C2311yescharacteristic
293C2×C42×C29C2311yescharacteristic
294C2×C42×C29C2311yescharacteristic
295C2×C42×C29C2311yescharacteristic
296C2×C42×C29C2311yescharacteristic
297C2×C42×C29C2311yescharacteristic
298C2×C42×C29C2311yescharacteristic
299C2×C42×C29C2311yescharacteristic
300C2×C42×C29C2311yescharacteristic
301C2×C42×C29C2311yescharacteristic
302C2×C42×C29C2311yescharacteristic
303C2×C42×C29C2311yescharacteristic
304C2×C42×C29C2311yescharacteristic
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
359C24×C29C2411yescharacteristic
360C2×Q8×C29—22no—
361C2×Q8×C29—41no—
362C2×Q8×C29—41no—
363C2×D4×C29—22no—
364C2×D4×C29—22no—
365C2×D4×C29—22no—
366C2×D4×C29—22no—
367C2×D4×C29—22no—
368C2×D4×C29—41no—
369C2×D4×C29—41no—
370C2×D4×C29—41no—
371C2×D4×C29—41no—
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—41no—
384C22×C4×C29—41no—
385C22×C4×C29—41no—
386C22×C4×C29—41no—
387C22×C4×C29—41no—
388C22×C4×C29—41no—
389C22×C4×C29—41no—
390C22×C4×C29—41no—
391C22×C4×C29#4114yes—
392C22×C4×C29#4114yes—
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
418C22×C4×C29C2411yescharacteristic
419C22×C4×C29C2411yescharacteristic
420C22×C4×C29C2411yescharacteristic
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—41no—
442C4⋊C4×C29—41no—
443C4⋊C4×C29—41no—
444C4⋊C4×C29—41no—
445C4⋊C4×C29—41no—
446C4⋊C4×C29—41no—
447C4⋊C4×C29—41no—
448C4⋊C4×C29—41no—
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—41no—
456C4⋊C4×C29—41no—
457C4⋊C4×C29—41no—
458C4⋊C4×C29—41no—
459C4⋊C4×C29—41no—
460C4⋊C4×C29—41no—
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—22no—
473C22⋊C4×C29—22no—
474C22⋊C4×C29—22no—
475C22⋊C4×C29—22no—
476C22⋊C4×C29—22no—
477C22⋊C4×C29—22no—
478C22⋊C4×C29—22no—
479C22⋊C4×C29—41no—
480C22⋊C4×C29—41no—
481C22⋊C4×C29—41no—
482C22⋊C4×C29—41no—
483C22⋊C4×C29—41no—
484C22⋊C4×C29—41no—
485C22⋊C4×C29—41no—
486C22⋊C4×C29—41no—
487C22⋊C4×C29—41no—
488C22⋊C4×C29—41no—
489C22⋊C4×C29—41no—
490C22⋊C4×C29—41no—
491C22⋊C4×C29—41no—
492C22⋊C4×C29—41no—
493C42×C29—22no—
494C42×C29—22no—
495C42×C29—22no—
496C42×C29—22no—
497C42×C29—22no—
498C42×C29—22no—
499C42×C29—22no—
500C42×C29—22no—
501C42×C29—22no—
502C42×C29—22no—
503C42×C29—22no—
504C42×C29—22no—
505C42×C29—22no—
506C42×C29—41no—
507C42×C29—41no—
508C42×C29—41no—
509C42×C29—41no—
510C42×C29—41no—
511C42×C29—41no—
512C42×C29#4114yes—
513#34592C2911yesmaximal, characteristic, direct product factor, Sylow
514C23×C29—21no—
515C23×C29—21no—
516C23×C29—21no—
517C23×C29—21no—
518C23×C29—21no—
519C23×C29—21no—
520C23×C29—21no—
521C23×C29—21no—
522C23×C29—21no—
523C23×C29—21no—
524C23×C29—21no—
525C23×C29—21no—
526C23×C29—21no—
527C23×C29—21no—
528C23×C29—21no—
529C23×C29—21no—
530C23×C29—21no—
531C23×C29—21no—
532C23×C29—21no—
533C23×C29C2×#4112yes—
534C23×C29C2×#4112yes—
535C23×C29C2511yescharacteristic
536Q8×C29—44no—
537D4×C29—28no—
538D4×C29—44no—
539D4×C29—44no—
540C2×C4×C29—21no—
541C2×C4×C29—21no—
542C2×C4×C29—21no—
543C2×C4×C29—21no—
544C2×C4×C29—21no—
545C2×C4×C29—21no—
546C2×C4×C29—21no—
547C2×C4×C29—21no—
548C2×C4×C29—21no—
549C2×C4×C29—21no—
550C2×C4×C29—21no—
551C2×C4×C29—21no—
552C2×C4×C29—28no—
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—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—44no—
617C2×C4×C29—44no—
618C2×C4×C29—44no—
619C2×C4×C29—44no—
620C2×C4×C29—44no—
621C2×C4×C29—44no—
622C2×C4×C29C2×#4112yes—
623C2×C4×C29C2×#4112yes—
624C2×C4×C29C2×#4112yes—
625C2×C4×C29C2×#4112yes—
626C2×C4×C29C2×#4112yes—
627C2×C4×C29C2×#4112yes—
628C2×C4×C29C2×#4112yes—
629C2×C4×C29H(5,𝔽2)12yes—
630C2×C4×C292−1+412yes—
631#2667C2×C2911yescharacteristic, complemented
632#2666C2×C2911yescharacteristic, complemented
633#2664C2×C2911yescharacteristic, complemented
634#2663C2×C2911yescharacteristic, complemented
635#2655C2×C2911yescharacteristic, complemented
636#2654C2×C2911yescharacteristic, complemented
637#2653C2×C2911yescharacteristic, complemented
638#2652C2×C2911yescharacteristic, complemented
639#2652C2×C2911yescharacteristic, complemented
640#2652C2×C2911yescharacteristic, complemented
641#2649C2×C2911yescharacteristic, complemented
642#2649C2×C2911yescharacteristic, complemented
643#2638C2×C2911yescharacteristic, complemented
644#2636C2×C2911yescharacteristic
645#2633C2×C2911yescharacteristic, complemented
646#2630C2×C2911yescharacteristic
647#2402C2×C2911yescharacteristic, complemented
648#2401C2×C2911yescharacteristic, complemented
649#2396C2×C2911yescharacteristic, complemented
650#2396C2×C2911yescharacteristic, complemented
651#2395C2×C2911yescharacteristic, complemented
652#2395C2×C2911yescharacteristic, complemented
653#2395C2×C2911yescharacteristic, complemented
654#2392C2×C2911yescharacteristic
655C4×#125C2×C2911yescharacteristic, complemented
656C4×#126C2×C2911yescharacteristic, complemented
657C4×C22⋊Q8C2×C2911yescharacteristic, complemented
658C4×#123C2×C2911yescharacteristic, complemented
659#2296C2×C2911yescharacteristic, complemented
660#2290C2×C2911yescharacteristic, complemented
661C42×D4C2×C2911yescharacteristic, complemented
662C22×C29—22no—
663C22×C29—22no—
664C22×C29—22no—
665C22×C29—22no—
666C22×C29—22no—
667C22×C29—22no—
668C22×C29—41no—
669C22×C29—41no—
670C22×C29—41no—
671C22×C29—41no—
672C22×C29—41no—
673C22×C29—41no—
674C22×C29—41no—
675C22×C29—41no—
676C22×C29—41no—
677C22×C29—41no—
678C22×C29—41no—
679C22×C29—41no—
680C22×C29—41no—
681C22×C29—41no—
682C22×C29—41no—
683C22×C29C22×#4111yescharacteristic
684C22×C29C22×#4111yescharacteristic
685C22×C29C22×#4111yescharacteristic
686C22×C29C2×H(5,𝔽2)11yescharacteristic
687C22×C29C2×2−1+411yescharacteristic
688C22×C29#58511yescharacteristic
689C22×C29#58511yescharacteristic
690C4×C29—22no—
691C4×C29—22no—
692C4×C29—22no—
693C4×C29—22no—
694C4×C29—22no—
695C4×C29—22no—
696C4×C29—41no—
697C4×C29—41no—
698C4×C29—41no—
699C4×C29—41no—
700C4×C29—41no—
701C4×C29—41no—
702C4×C29—41no—
703C4×C29—41no—
704C4×C29—41no—
705C4×C29—41no—
706C4×C29—41no—
707C4×C29—41no—
708C4×C29—41no—
709C4×C29—41no—
710C4×C29—41no—
711C4×C29—41no—
712C4×C29—41no—
713C4×C29—41no—
714C4×C29—41no—
715C4×C29—41no—
716C4×C29—41no—
717C4×C29#53914yes—
718C2×#126C22×C2911yescharacteristic
719C2×#125C22×C2911yescharacteristic
720C2×#123C22×C2911yescharacteristic
721C2×C22⋊Q8C22×C2911yescharacteristic
722C2×C4×Q8C22×C2911yescharacteristic
723C2×C4×D4C22×C2911yescharacteristic
724C2×C4×D4C22×C2911yescharacteristic
725C2×C4×D4C22×C2911yescharacteristic
726C2×C4×D4C22×C2911yescharacteristic
727C2×C4×D4C22×C2911yescharacteristic
728C2×#117C22×C2911yescharacteristic
729C2×#117C22×C2911yescharacteristic
730C2×#117C22×C2911yescharacteristic
731C22×C42C22×C2911yescharacteristic
732C22×C42C22×C2911yescharacteristic
733#401C22×C2911yescharacteristic
734#400C22×C2911yescharacteristic
735#400C22×C2911yescharacteristic
736#400C22×C2911yescharacteristic
737#400C22×C2911yescharacteristic
738#400C22×C2911yescharacteristic
739#400C22×C2911yescharacteristic
740#400C22×C2911yescharacteristic
741#400C22×C2911yescharacteristic
742#400C22×C2911yescharacteristic
743#400C22×C2911yescharacteristic
744#400C22×C2911yescharacteristic
745#400C22×C2911yescharacteristic
746#399C22×C2911yescharacteristic
747#399C22×C2911yescharacteristic
748#399C22×C2911yescharacteristic
749#399C22×C2911yescharacteristic
750#399C22×C2911yescharacteristic
751#398C22×C2911yescharacteristic
752#398C22×C2911yescharacteristic
753#398C22×C2911yescharacteristic
754#398C22×C2911yescharacteristic
755#398C22×C2911yescharacteristic
756#398C22×C2911yescharacteristic
757#398C22×C2911yescharacteristic
758#398C22×C2911yescharacteristic
759#398C22×C2911yescharacteristic
760#398C22×C2911yescharacteristic
761#398C22×C2911yescharacteristic
762#398C22×C2911yescharacteristic
763#397C22×C2911yescharacteristic
764#397C22×C2911yescharacteristic
765#397C22×C2911yescharacteristic
766#397C22×C2911yescharacteristic
767#397C22×C2911yescharacteristic
768#397C22×C2911yescharacteristic
769#397C22×C2911yescharacteristic
770#397C22×C2911yescharacteristic
771#397C22×C2911yescharacteristic
772#397C22×C2911yescharacteristic
773#397C22×C2911yescharacteristic
774#397C22×C2911yescharacteristic
775#397C22×C2911yescharacteristic
776#396C22×C2911yescharacteristic
777#396C22×C2911yescharacteristic
778#396C22×C2911yescharacteristic
779#396C22×C2911yescharacteristic
780#396C22×C2911yescharacteristic
781#396C22×C2911yescharacteristic
782#396C22×C2911yescharacteristic
783#395C22×C2911yescharacteristic
784#395C22×C2911yescharacteristic
785#394C22×C2911yescharacteristic
786#394C22×C2911yescharacteristic
787#394C22×C2911yescharacteristic
788#394C22×C2911yescharacteristic
789#394C22×C2911yescharacteristic
790#394C22×C2911yescharacteristic
791#394C22×C2911yescharacteristic
792#394C22×C2911yescharacteristic
793#394C22×C2911yescharacteristic
794#393C22×C2911yescharacteristic
795#393C22×C2911yescharacteristic
796#392C22×C2911yescharacteristic
797#391C22×C2911yescharacteristic
798#389C22×C2911yescharacteristic
799#389C22×C2911yescharacteristic
800#389C22×C2911yescharacteristic
801#389C22×C2911yescharacteristic
802#389C22×C2911yescharacteristic
803#389C22×C2911yescharacteristic
804#389C22×C2911yescharacteristic
805#388C22×C2911yescharacteristic
806#388C22×C2911yescharacteristic
807#388C22×C2911yescharacteristic
808#388C22×C2911yescharacteristic
809#388C22×C2911yescharacteristic
810#388C22×C2911yescharacteristic
811#388C22×C2911yescharacteristic
812#387C22×C2911yescharacteristic
813#387C22×C2911yescharacteristic
814#387C22×C2911yescharacteristic
815#387C22×C2911yescharacteristic
816#387C22×C2911yescharacteristic
817#387C22×C2911yescharacteristic
818#387C22×C2911yescharacteristic
819#387C22×C2911yescharacteristic
820#387C22×C2911yescharacteristic
821#387C22×C2911yescharacteristic
822#387C22×C2911yescharacteristic
823#387C22×C2911yescharacteristic
824#387C22×C2911yescharacteristic
825#386C22×C2911yescharacteristic
826#386C22×C2911yescharacteristic
827#386C22×C2911yescharacteristic
828#385C22×C2911yescharacteristic
829#385C22×C2911yescharacteristic
830#385C22×C2911yescharacteristic
831#385C22×C2911yescharacteristic
832#385C22×C2911yescharacteristic
833#385C22×C2911yescharacteristic
834#385C22×C2911yescharacteristic
835#385C22×C2911yescharacteristic
836#385C22×C2911yescharacteristic
837#383C22×C2911yescharacteristic
838#382C22×C2911yescharacteristic
839#381C22×C2911yescharacteristic
840#380C22×C2911yescharacteristic
841C4×C4⋊C4C22×C2911yescharacteristic
842C4×C4⋊C4C22×C2911yescharacteristic
843C4×C4⋊C4C22×C2911yescharacteristic
844C4×C4⋊C4C22×C2911yescharacteristic
845C4×C4⋊C4C22×C2911yescharacteristic
846C4×C4⋊C4C22×C2911yescharacteristic
847C4×C4⋊C4C22×C2911yescharacteristic
848C4×C4⋊C4C22×C2911yescharacteristic
849C4×C4⋊C4C22×C2911yescharacteristic
850C4×C4⋊C4C22×C2911yescharacteristic
851C4×C4⋊C4C22×C2911yescharacteristic
852C4×C4⋊C4C22×C2911yescharacteristic
853C4×C4⋊C4C22×C2911yescharacteristic
854C4×C4⋊C4C22×C2911yescharacteristic
855C4×C4⋊C4C22×C2911yescharacteristic
856C4×C4⋊C4C22×C2911yescharacteristic
857C4×C22⋊C4C22×C2911yescharacteristic
858C4×C22⋊C4C22×C2911yescharacteristic
859C4×C22⋊C4C22×C2911yescharacteristic
860C4×C22⋊C4C22×C2911yescharacteristic
861C4×C22⋊C4C22×C2911yescharacteristic
862C4×C22⋊C4C22×C2911yescharacteristic
863C4×C22⋊C4C22×C2911yescharacteristic
864C4×C22⋊C4C22×C2911yescharacteristic
865C4×C22⋊C4C22×C2911yescharacteristic
866C4×C22⋊C4C22×C2911yescharacteristic
867C4×C22⋊C4C22×C2911yescharacteristic
868C4×C22⋊C4C22×C2911yescharacteristic
869C4×C22⋊C4C22×C2911yescharacteristic
870C4×C22⋊C4C22×C2911yescharacteristic
871#376C22×C2911yescharacteristic
872C43C22×C2911yescharacteristic
873C2×C29—42no—
874C2×C29—42no—
875C2×C29—81no—
876C2×C29#344411yescharacteristic
877C2×C29C2×#53911yescharacteristic
878C2×C29#345511yescharacteristic
879C2×C29#345911yescharacteristic
880C2×C29#346011yescharacteristic
881C2×C29#346111yescharacteristic
882C2×C29#346111yescharacteristic
883C22×Q8C23×C2911yescharacteristic
884C22×D4C23×C2911yescharacteristic
885C22×D4C23×C2911yescharacteristic
886C22×D4C23×C2911yescharacteristic
887C23×C4C23×C2911yescharacteristic
888C23×C4C23×C2911yescharacteristic
889C23×C4C23×C2911yescharacteristic
890C23×C4C23×C2911yescharacteristic
891C23×C4C23×C2911yescharacteristic
892C23×C4C23×C2911yescharacteristic
893C23×C4C23×C2911yescharacteristic
894#126—24no—
895#125—24no—
896#123—24no—
897C22⋊Q8—24no—
898C4×Q8—42no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—42no—
904#117—24no—
905#117—42no—
906#117—42no—
907C2×C4⋊C4C23×C2911yescharacteristic
908C2×C4⋊C4C23×C2911yescharacteristic
909C2×C4⋊C4C23×C2911yescharacteristic
910C2×C4⋊C4C23×C2911yescharacteristic
911C2×C4⋊C4C23×C2911yescharacteristic
912C2×C4⋊C4C23×C2911yescharacteristic
913C2×C4⋊C4C23×C2911yescharacteristic
914C2×C4⋊C4C23×C2911yescharacteristic
915C2×C4⋊C4C23×C2911yescharacteristic
916C2×C4⋊C4C23×C2911yescharacteristic
917C2×C4⋊C4C23×C2911yescharacteristic
918C2×C4⋊C4C23×C2911yescharacteristic
919C2×C4⋊C4C23×C2911yescharacteristic
920C2×C4⋊C4C23×C2911yescharacteristic
921C2×C4⋊C4C23×C2911yescharacteristic
922C2×C4⋊C4C23×C2911yescharacteristic
923C2×C4⋊C4C23×C2911yescharacteristic
924C2×C4⋊C4C23×C2911yescharacteristic
925C2×C4⋊C4C23×C2911yescharacteristic
926C2×C4⋊C4C23×C2911yescharacteristic
927C2×C4⋊C4C23×C2911yescharacteristic
928C2×C4⋊C4C23×C2911yescharacteristic
929C2×C4⋊C4C23×C2911yescharacteristic
930C2×C4⋊C4C23×C2911yescharacteristic
931C2×C4⋊C4C23×C2911yescharacteristic
932C2×C4⋊C4C23×C2911yescharacteristic
933C2×C4⋊C4C23×C2911yescharacteristic
934C2×C4⋊C4C23×C2911yescharacteristic
935C2×C4⋊C4C23×C2911yescharacteristic
936C2×C4⋊C4C23×C2911yescharacteristic
937C2×C4⋊C4C23×C2911yescharacteristic
938C2×C4⋊C4C23×C2911yescharacteristic
939C2×C4⋊C4C23×C2911yescharacteristic
940C2×C4⋊C4C23×C2911yescharacteristic
941C2×C4⋊C4C23×C2911yescharacteristic
942C2×C4⋊C4C23×C2911yescharacteristic
943C2×C4⋊C4C23×C2911yescharacteristic
944C2×C4⋊C4C23×C2911yescharacteristic
945C2×C4⋊C4C23×C2911yescharacteristic
946C2×C4⋊C4C23×C2911yescharacteristic
947C2×C22⋊C4C23×C2911yescharacteristic
948C2×C22⋊C4C23×C2911yescharacteristic
949C2×C22⋊C4C23×C2911yescharacteristic
950C2×C22⋊C4C23×C2911yescharacteristic
951C2×C22⋊C4C23×C2911yescharacteristic
952C2×C22⋊C4C23×C2911yescharacteristic
953C2×C22⋊C4C23×C2911yescharacteristic
954C2×C22⋊C4C23×C2911yescharacteristic
955C2×C22⋊C4C23×C2911yescharacteristic
956C2×C22⋊C4C23×C2911yescharacteristic
957C2×C22⋊C4C23×C2911yescharacteristic
958C2×C22⋊C4C23×C2911yescharacteristic
959C2×C22⋊C4C23×C2911yescharacteristic
960C2×C22⋊C4C23×C2911yescharacteristic
961C2×C22⋊C4C23×C2911yescharacteristic
962C2×C22⋊C4C23×C2911yescharacteristic
963C2×C22⋊C4C23×C2911yescharacteristic
964C2×C22⋊C4C23×C2911yescharacteristic
965C2×C22⋊C4C23×C2911yescharacteristic
966C2×C22⋊C4C23×C2911yescharacteristic
967C2×C22⋊C4C23×C2911yescharacteristic
968C2×C22⋊C4C23×C2911yescharacteristic
969C2×C22⋊C4C23×C2911yescharacteristic
970C2×C22⋊C4C23×C2911yescharacteristic
971C2×C22⋊C4C23×C2911yescharacteristic
972C2×C22⋊C4C23×C2911yescharacteristic
973C2×C22⋊C4C23×C2911yescharacteristic
974C2×C22⋊C4C23×C2911yescharacteristic
975C2×C22⋊C4C23×C2911yescharacteristic
976C2×C22⋊C4C23×C2911yescharacteristic
977C2×C22⋊C4C23×C2911yescharacteristic
978C2×C22⋊C4C23×C2911yescharacteristic
979C2×C42—42no—
980C2×C42—42no—
981C2×C42C23×C2911yescharacteristic
982C2×C42C23×C2911yescharacteristic
983C2×C42C23×C2911yescharacteristic
984C2×C42C23×C2911yescharacteristic
985C2×C42C23×C2911yescharacteristic
986C2×C42C23×C2911yescharacteristic
987C2×C42C23×C2911yescharacteristic
988C2×C42C23×C2911yescharacteristic
989C2×C42C23×C2911yescharacteristic
990C2×C42C23×C2911yescharacteristic
991C2×C42C23×C2911yescharacteristic
992C2×C42C23×C2911yescharacteristic
993C2×C42C23×C2911yescharacteristic
994C2×C42C23×C2911yescharacteristic
995C2×C42C23×C2911yescharacteristic
996C2×C42C23×C2911yescharacteristic
997C2×C42C23×C2911yescharacteristic
998C2×C42C23×C2911yescharacteristic
999C2×C42C23×C2911yescharacteristic
1000C2×C42C23×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
1031#95C23×C2911yescharacteristic
1032#95C23×C2911yescharacteristic
1033#95C23×C2911yescharacteristic
1034#95C23×C2911yescharacteristic
1035#95C23×C2911yescharacteristic
1036#95C23×C2911yescharacteristic
1037#95C23×C2911yescharacteristic
1038#95C23×C2911yescharacteristic
1039#95C23×C2911yescharacteristic
1040#95C23×C2911yescharacteristic
1041#95C23×C2911yescharacteristic
1042#95C23×C2911yescharacteristic
1043#95C23×C2911yescharacteristic
1044#95C23×C2911yescharacteristic
1045#95C23×C2911yescharacteristic
1046#95C23×C2911yescharacteristic
1047#95C23×C2911yescharacteristic
1048#95C23×C2911yescharacteristic
1049#95C23×C2911yescharacteristic
1050#95C23×C2911yescharacteristic
1051#95C23×C2911yescharacteristic
1052#95C23×C2911yescharacteristic
1053C29#3459211yescharacteristic, direct product factor, Sylow
1054C24C24×C2911yescharacteristic
1055C24C24×C2911yescharacteristic
1056C24C24×C2911yescharacteristic
1057C2×Q8—22no—
1058C2×Q8—41no—
1059C2×Q8—41no—
1060C2×D4—22no—
1061C2×D4—22no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—22no—
1065C2×D4—41no—
1066C2×D4—41no—
1067C2×D4—41no—
1068C2×D4—41no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—41no—
1086C22×C4—41no—
1087C22×C4—41no—
1088C22×C4#41×C2914yes—
1089C22×C4#41×C2914yes—
1090C22×C4C24×C2911yescharacteristic
1091C22×C4C24×C2911yescharacteristic
1092C22×C4C24×C2911yescharacteristic
1093C22×C4C24×C2911yescharacteristic
1094C22×C4C24×C2911yescharacteristic
1095C22×C4C24×C2911yescharacteristic
1096C22×C4C24×C2911yescharacteristic
1097C22×C4C24×C2911yescharacteristic
1098C22×C4C24×C2911yescharacteristic
1099C22×C4C24×C2911yescharacteristic
1100C22×C4C24×C2911yescharacteristic
1101C22×C4C24×C2911yescharacteristic
1102C22×C4C24×C2911yescharacteristic
1103C22×C4C24×C2911yescharacteristic
1104C22×C4C24×C2911yescharacteristic
1105C22×C4C24×C2911yescharacteristic
1106C22×C4C24×C2911yescharacteristic
1107C22×C4C24×C2911yescharacteristic
1108C22×C4C24×C2911yescharacteristic
1109C22×C4C24×C2911yescharacteristic
1110C22×C4C24×C2911yescharacteristic
1111C22×C4C24×C2911yescharacteristic
1112C22×C4C24×C2911yescharacteristic
1113C22×C4C24×C2911yescharacteristic
1114C22×C4C24×C2911yescharacteristic
1115C22×C4C24×C2911yescharacteristic
1116C22×C4C24×C2911yescharacteristic
1117C22×C4C24×C2911yescharacteristic
1118C4⋊C4—22no—
1119C4⋊C4—22no—
1120C4⋊C4—22no—
1121C4⋊C4—22no—
1122C4⋊C4—22no—
1123C4⋊C4—22no—
1124C4⋊C4—22no—
1125C4⋊C4—22no—
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—22no—
1131C4⋊C4—22no—
1132C4⋊C4—22no—
1133C4⋊C4—22no—
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—22no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C22⋊C4—22no—
1159C22⋊C4—22no—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—22no—
1173C22⋊C4—22no—
1174C22⋊C4—22no—
1175C22⋊C4—22no—
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⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C42—22no—
1191C42—22no—
1192C42—22no—
1193C42—22no—
1194C42—22no—
1195C42—22no—
1196C42—22no—
1197C42—22no—
1198C42—22no—
1199C42—22no—
1200C42—22no—
1201C42—22no—
1202C42—22no—
1203C42—41no—
1204C42—41no—
1205C42—41no—
1206C42—41no—
1207C42—41no—
1208C42—41no—
1209C42#41×C2914yes—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23C2×#41×C2912yes—
1230C23C2×#41×C2912yes—
1231C23C25×C2911yescharacteristic
1232Q8—44no—
1233D4—28no—
1234D4—44no—
1235D4—44no—
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—28no—
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—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—44no—
1313C2×C4—44no—
1314C2×C4—44no—
1315C2×C4—44no—
1316C2×C4—44no—
1317C2×C4—44no—
1318C2×C4C2×#41×C2912yes—
1319C2×C4C2×#41×C2912yes—
1320C2×C4C2×#41×C2912yes—
1321C2×C4C2×#41×C2912yes—
1322C2×C4C2×#41×C2912yes—
1323C2×C4C2×#41×C2912yes—
1324C2×C4C2×#41×C2912yes—
1325C2×C4C29×H(5,𝔽2)12yes—
1326C2×C4C29×2−1+412yes—
1327C22—22no—
1328C22—22no—
1329C22—22no—
1330C22—22no—
1331C22—22no—
1332C22—22no—
1333C22—41no—
1334C22—41no—
1335C22—41no—
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22C22×#41×C2911yescharacteristic
1349C22C22×#41×C2911yescharacteristic
1350C22C22×#41×C2911yescharacteristic
1351C22C2×C29×H(5,𝔽2)11yescharacteristic
1352C22C2×C29×2−1+411yescharacteristic
1353C22C29×#58511yescharacteristic
1354C22C29×#58511yescharacteristic
1355C4—22no—
1356C4—22no—
1357C4—22no—
1358C4—22no—
1359C4—22no—
1360C4—22no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4C29×#53914yes—
1383C2—42no—
1384C2—42no—
1385C2—81no—
1386C2C29×#344411yescharacteristic
1387C2C2×C29×#53911yescharacteristic
1388C2C29×#345511yescharacteristic
1389C2C29×#345911yescharacteristic
1390C2C29×#346011yescharacteristic
1391C2C29×#346111yescharacteristic
1392C2C29×#346111yescharacteristic
subgroupG/H
centerC22×C4×C29C24
commutator, Frattini, cosocleC23C25×C29
socleC23×C29C25
prime radicalC29×#392C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#2667C2semidirect
2. C29×#2666C2semidirect
3. C29×#2664C2semidirect
4. C29×#2663C2semidirect
5. C29×#2655C2semidirect
6. C29×#2654C2semidirect
7. C29×#2653C2semidirect
8. C29×#2652C2semidirect
9. C29×#2652C2semidirect
10. C29×#2652C2semidirect
11. C29×#2649C2semidirect
12. C29×#2649C2semidirect
13. C29×#2638C2semidirect
15. C29×#2633C2semidirect
17. C29×#2402C2semidirect
18. C29×#2401C2semidirect
19. C29×#2396C2semidirect
20. C29×#2396C2semidirect
21. C29×#2395C2semidirect
22. C29×#2395C2semidirect
23. C29×#2395C2semidirect
25. C4×C29×#125C2semidirect
26. C4×C29×#126C2semidirect
27. C4×C29×C22⋊Q8C2semidirect
28. C4×C29×#123C2semidirect
29. C29×#2296C2semidirect
30. C29×#2290C2semidirect
31. C42×D4×C29C2semidirect
513. #34592C29direct (N × H)
631. #2667C2×C29semidirect
632. #2666C2×C29semidirect
633. #2664C2×C29semidirect
634. #2663C2×C29semidirect
635. #2655C2×C29semidirect
636. #2654C2×C29semidirect
637. #2653C2×C29semidirect
638. #2652C2×C29semidirect
639. #2652C2×C29semidirect
640. #2652C2×C29semidirect
641. #2649C2×C29semidirect
642. #2649C2×C29semidirect
643. #2638C2×C29semidirect
645. #2633C2×C29semidirect
647. #2402C2×C29semidirect
648. #2401C2×C29semidirect
649. #2396C2×C29semidirect
650. #2396C2×C29semidirect
651. #2395C2×C29semidirect
652. #2395C2×C29semidirect
653. #2395C2×C29semidirect
655. C4×#125C2×C29semidirect
656. C4×#126C2×C29semidirect
657. C4×C22⋊Q8C2×C29semidirect
658. C4×#123C2×C29semidirect
659. #2296C2×C29semidirect
660. #2290C2×C29semidirect
661. C42×D4C2×C29semidirect
1053. C29#34592direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#26672
C29×#26662
C29×#26642
C29×#26632
C29×#26552
C29×#26542
C29×#26532
C29×#26522
C29×#26492
C29×#26382
C29×#26362
C29×#26332
C29×#26302
C29×#24022
C29×#24012
C29×#23962
C29×#23952
C29×#23922
C4×C29×#1252
C4×C29×#1262
C4×C29×C22⋊Q82
C4×C29×#1232
C29×#22962
C29×#22902
C42×D4×C292
#3459229