Finite Group Databasebeta

← C29×#36769 #20331669

Subgroups — C29×#36769 #20331669

Order 7424.

1566 conjugacy classes of subgroups.

The subgroup lattice has 1410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#2854C211yesmaximal, characteristic, complemented
2C29×#2851C211yesmaximal, characteristic, complemented
3C29×#2801C211yesmaximal, characteristic, complemented
4C29×#2797C211yesmaximal, characteristic, complemented
5C29×#2787C211yesmaximal, characteristic, complemented
6C29×#2782C211yesmaximal, characteristic, complemented
7C29×#2781C211yesmaximal, characteristic, complemented
8C29×#2779C211yesmaximal, characteristic, complemented
9C29×#2772C211yesmaximal, characteristic, complemented
10C29×#2772C211yesmaximal, characteristic, complemented
11C29×#2765C211yesmaximal, characteristic, complemented
12C29×#2761C211yesmaximal, characteristic, complemented
13C29×#2753C211yesmaximal, characteristic, complemented
14C29×#2746C211yesmaximal, characteristic, complemented
15C29×#2719C211yesmaximal, characteristic, complemented
16C29×#2711C211yesmaximal, characteristic, complemented
17C29×#2711C211yesmaximal, characteristic, complemented
18C29×#2688C211yesmaximal, characteristic
19C29×#2630C211yesmaximal, characteristic, complemented
20C29×#2630C211yesmaximal, characteristic, complemented
21C29×#2597C211yesmaximal, characteristic, complemented
22C29×#2596C211yesmaximal, characteristic, complemented
23C29×#2576C211yesmaximal, characteristic, complemented
24C29×#2575C211yesmaximal, characteristic, complemented
25C29×#2531C211yesmaximal, characteristic, complemented
26C29×#2528C211yesmaximal, characteristic, complemented
27C29×#2476C211yesmaximal, characteristic, complemented
28C29×#2475C211yesmaximal, characteristic, complemented
29C29×#2335C211yesmaximal, characteristic, complemented
30C29×#2335C211yesmaximal, characteristic, complemented
31C29×#2290C211yesmaximal, characteristic, complemented
32C2×C29×#125C2211yescharacteristic
33C2×C29×#125C2211yescharacteristic
34C2×C29×#123C2211yescharacteristic
35C2×C29×#123C2211yescharacteristic
36C2×C29×#121C2211yescharacteristic
37C2×C29×#121C2211yescharacteristic
38C2×C4×D4×C29C2211yescharacteristic
39C2×C29×#117C2211yescharacteristic
40C22×C42×C29C2211yescharacteristic
41C29×#401C2211yescharacteristic
42C29×#401C2211yescharacteristic
43C29×#400C2211yescharacteristic
44C29×#400C2211yescharacteristic
45C29×#400C2211yescharacteristic
46C29×#400C2211yescharacteristic
47C29×#400C2211yescharacteristic
48C29×#400C2211yescharacteristic
49C29×#400C2211yescharacteristic
50C29×#400C2211yescharacteristic
51C29×#399C2211yescharacteristic
52C29×#399C2211yescharacteristic
53C29×#398C2211yescharacteristic
54C29×#398C2211yescharacteristic
55C29×#398C2211yescharacteristic
56C29×#398C2211yescharacteristic
57C29×#398C2211yescharacteristic
58C29×#398C2211yescharacteristic
59C29×#397C2211yescharacteristic
60C29×#397C2211yescharacteristic
61C29×#397C2211yescharacteristic
62C29×#397C2211yescharacteristic
63C29×#397C2211yescharacteristic
64C29×#397C2211yescharacteristic
65C29×#397C2211yescharacteristic
66C29×#397C2211yescharacteristic
67C29×#397C2211yescharacteristic
68C29×#397C2211yescharacteristic
69C29×#396C2211yescharacteristic
70C29×#396C2211yescharacteristic
71C29×#396C2211yescharacteristic
72C29×#396C2211yescharacteristic
73C29×#396C2211yescharacteristic
74C29×#396C2211yescharacteristic
75C29×#394C2211yescharacteristic
76C29×#394C2211yescharacteristic
77C29×#394C2211yescharacteristic
78C29×#394C2211yescharacteristic
79C29×#394C2211yescharacteristic
80C29×#394C2211yescharacteristic
81C29×#394C2211yescharacteristic
82C29×#394C2211yescharacteristic
83C29×#394C2211yescharacteristic
84C29×#394C2211yescharacteristic
85C29×#394C2211yescharacteristic
86C29×#394C2211yescharacteristic
87C29×#392C2211yescharacteristic
88C29×#392C2211yescharacteristic
89C29×#390C2211yescharacteristic
90C29×#390C2211yescharacteristic
91C29×#390C2211yescharacteristic
92C29×#390C2211yescharacteristic
93C29×#390C2211yescharacteristic
94C29×#389C2211yescharacteristic
95C29×#389C2211yescharacteristic
96C29×#389C2211yescharacteristic
97C29×#389C2211yescharacteristic
98C29×#389C2211yescharacteristic
99C29×#389C2211yescharacteristic
100C29×#389C2211yescharacteristic
101C29×#388C2211yescharacteristic
102C29×#388C2211yescharacteristic
103C29×#388C2211yescharacteristic
104C29×#388C2211yescharacteristic
105C29×#388C2211yescharacteristic
106C29×#388C2211yescharacteristic
107C29×#388C2211yescharacteristic
108C29×#388C2211yescharacteristic
109C29×#388C2211yescharacteristic
110C29×#388C2211yescharacteristic
111C29×#388C2211yescharacteristic
112C29×#388C2211yescharacteristic
113C29×#388C2211yescharacteristic
114C29×#388C2211yescharacteristic
115C29×#388C2211yescharacteristic
116C29×#388C2211yescharacteristic
117C29×#388C2211yescharacteristic
118C29×#388C2211yescharacteristic
119C29×#388C2211yescharacteristic
120C29×#388C2211yescharacteristic
121C29×#388C2211yescharacteristic
122C29×#388C2211yescharacteristic
123C29×#388C2211yescharacteristic
124C29×#388C2211yescharacteristic
125C29×#388C2211yescharacteristic
126C29×#388C2211yescharacteristic
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×#387C2211yescharacteristic
140C29×#387C2211yescharacteristic
141C29×#387C2211yescharacteristic
142C29×#387C2211yescharacteristic
143C29×#387C2211yescharacteristic
144C29×#387C2211yescharacteristic
145C29×#387C2211yescharacteristic
146C29×#387C2211yescharacteristic
147C29×#386C2211yescharacteristic
148C29×#386C2211yescharacteristic
149C29×#386C2211yescharacteristic
150C29×#386C2211yescharacteristic
151C29×#386C2211yescharacteristic
152C29×#386C2211yescharacteristic
153C29×#386C2211yescharacteristic
154C29×#386C2211yescharacteristic
155C29×#386C2211yescharacteristic
156C29×#386C2211yescharacteristic
157C29×#385C2211yescharacteristic
158C29×#385C2211yescharacteristic
159C29×#385C2211yescharacteristic
160C29×#385C2211yescharacteristic
161C29×#385C2211yescharacteristic
162C29×#385C2211yescharacteristic
163C29×#385C2211yescharacteristic
164C29×#385C2211yescharacteristic
165C29×#385C2211yescharacteristic
166C29×#385C2211yescharacteristic
167C29×#385C2211yescharacteristic
168C29×#385C2211yescharacteristic
169C29×#382C2211yescharacteristic
170C29×#382C2211yescharacteristic
171C29×#382C2211yescharacteristic
172C29×#382C2211yescharacteristic
173C29×#381C2211yescharacteristic
174C29×#381C2211yescharacteristic
175C29×#380C2211yescharacteristic
176C29×#380C2211yescharacteristic
177C29×#380C2211yescharacteristic
178C29×#380C2211yescharacteristic
179C4×C4⋊C4×C29C2211yescharacteristic
180C4×C4⋊C4×C29C2211yescharacteristic
181C4×C4⋊C4×C29C2211yescharacteristic
182C4×C22⋊C4×C29C2211yescharacteristic
183C4×C22⋊C4×C29C2211yescharacteristic
184C4×C22⋊C4×C29C2211yescharacteristic
185C4×C22⋊C4×C29C2211yescharacteristic
186C29×#376C2211yescharacteristic
187C22×D4×C29C2311yescharacteristic
188C22×D4×C29C2311yescharacteristic
189C22×D4×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
199C29×#125—42no—
200C29×#125—42no—
201C29×#123—24no—
202C29×#123—24no—
203C29×#121—42no—
204C29×#121—42no—
205C4×D4×C29—24no—
206C29×#117—42no—
207C2×C4⋊C4×C29C2311yescharacteristic
208C2×C4⋊C4×C29C2311yescharacteristic
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×C22⋊C4×C29C2311yescharacteristic
244C2×C22⋊C4×C29C2311yescharacteristic
245C2×C22⋊C4×C29C2311yescharacteristic
246C2×C22⋊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×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×C42×C29—42no—
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
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
351C24×C29C2411yescharacteristic
352C24×C29C2411yescharacteristic
353C24×C29C2411yescharacteristic
354C24×C29C2411yescharacteristic
355C2×D4×C29—22no—
356C2×D4×C29—22no—
357C2×D4×C29—22no—
358C2×D4×C29—22no—
359C2×D4×C29—41no—
360C2×D4×C29—41no—
361C2×D4×C29—41no—
362C2×D4×C29—41no—
363C2×D4×C29—41no—
364C2×D4×C29—41no—
365C2×D4×C29—41no—
366C2×D4×C29—41no—
367C2×D4×C29—41no—
368C2×D4×C29—41no—
369C2×D4×C29—41no—
370C2×D4×C29—41no—
371C2×D4×C29—41no—
372C2×D4×C29—41no—
373C22×C4×C29—22no—
374C22×C4×C29—22no—
375C22×C4×C29—41no—
376C22×C4×C29—41no—
377C22×C4×C29—41no—
378C22×C4×C29—41no—
379C22×C4×C29—41no—
380C22×C4×C29—41no—
381C22×C4×C29—41no—
382C22×C4×C29—41no—
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#4114yes—
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—41no—
428C4⋊C4×C29—41no—
429C4⋊C4×C29—41no—
430C4⋊C4×C29—41no—
431C4⋊C4×C29—41no—
432C4⋊C4×C29—41no—
433C4⋊C4×C29—41no—
434C4⋊C4×C29—41no—
435C4⋊C4×C29—41no—
436C4⋊C4×C29—41no—
437C4⋊C4×C29—41no—
438C4⋊C4×C29—41no—
439C4⋊C4×C29—41no—
440C4⋊C4×C29—41no—
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—
454C22⋊C4×C29—22no—
455C22⋊C4×C29—22no—
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—41no—
464C22⋊C4×C29—41no—
465C22⋊C4×C29—41no—
466C22⋊C4×C29—41no—
467C22⋊C4×C29—41no—
468C22⋊C4×C29—41no—
469C22⋊C4×C29—41no—
470C22⋊C4×C29—41no—
471C22⋊C4×C29—41no—
472C22⋊C4×C29—41no—
473C22⋊C4×C29—41no—
474C22⋊C4×C29—41no—
475C22⋊C4×C29—41no—
476C22⋊C4×C29—41no—
477C22⋊C4×C29—41no—
478C22⋊C4×C29—41no—
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—
493C22⋊C4×C29—41no—
494C22⋊C4×C29—41no—
495C22⋊C4×C29—41no—
496C42×C29—22no—
497C42×C29—22no—
498C42×C29—22no—
499C42×C29—41no—
500C42×C29—41no—
501C42×C29—41no—
502C42×C29—41no—
503C42×C29—41no—
504C42×C29—41no—
505C42×C29—41no—
506C42×C29—41no—
507C42×C29—41no—
508C42×C29—41no—
509#36769C2911yesmaximal, characteristic, direct product factor, Sylow
510C23×C29—21no—
511C23×C29—21no—
512C23×C29—21no—
513C23×C29—21no—
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×C29—21no—
534C23×C29—21no—
535C23×C29—21no—
536C23×C29—21no—
537C23×C29C2×#4112yes—
538C23×C29C2511yescharacteristic
539D4×C29—44no—
540D4×C29—82no—
541D4×C29—82no—
542D4×C29—82no—
543D4×C29—82no—
544D4×C29—82no—
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—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—44no—
624C2×C4×C29—44no—
625C2×C4×C29—44no—
626C2×C4×C29—44no—
627C2×C4×C29—82no—
628C2×C4×C29—82no—
629C2×C4×C29C2×#4112yes—
630C2×C4×C29C2×#4112yes—
631C2×C4×C29H(5,𝔽2)12yes—
632#2854C2×C2911yescharacteristic, complemented
633#2851C2×C2911yescharacteristic, complemented
634#2801C2×C2911yescharacteristic, complemented
635#2797C2×C2911yescharacteristic, complemented
636#2787C2×C2911yescharacteristic, complemented
637#2782C2×C2911yescharacteristic, complemented
638#2781C2×C2911yescharacteristic, complemented
639#2779C2×C2911yescharacteristic, complemented
640#2772C2×C2911yescharacteristic, complemented
641#2772C2×C2911yescharacteristic, complemented
642#2765C2×C2911yescharacteristic, complemented
643#2761C2×C2911yescharacteristic, complemented
644#2753C2×C2911yescharacteristic, complemented
645#2746C2×C2911yescharacteristic, complemented
646#2719C2×C2911yescharacteristic, complemented
647#2711C2×C2911yescharacteristic, complemented
648#2711C2×C2911yescharacteristic, complemented
649#2688C2×C2911yescharacteristic
650#2630C2×C2911yescharacteristic, complemented
651#2630C2×C2911yescharacteristic, complemented
652#2597C2×C2911yescharacteristic, complemented
653#2596C2×C2911yescharacteristic, complemented
654#2576C2×C2911yescharacteristic, complemented
655#2575C2×C2911yescharacteristic, complemented
656#2531C2×C2911yescharacteristic, complemented
657#2528C2×C2911yescharacteristic, complemented
658#2476C2×C2911yescharacteristic, complemented
659#2475C2×C2911yescharacteristic, complemented
660#2335C2×C2911yescharacteristic, complemented
661#2335C2×C2911yescharacteristic, complemented
662#2290C2×C2911yescharacteristic, complemented
663C22×C29—22no—
664C22×C29—22no—
665C22×C29—22no—
666C22×C29—41no—
667C22×C29—41no—
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×C29—41no—
684C22×C29—41no—
685C22×C29—41no—
686C22×C29—41no—
687C22×C29—41no—
688C22×C29—41no—
689C22×C29—41no—
690C22×C29—41no—
691C22×C29C22×#4111yescharacteristic
692C22×C29C2×H(5,𝔽2)11yescharacteristic
693C22×C29#58511yescharacteristic
694C22×C29#58511yescharacteristic
695C22×C29#58511yescharacteristic
696C22×C29#58511yescharacteristic
697C22×C29#58511yescharacteristic
698C4×C29—22no—
699C4×C29—22no—
700C4×C29—22no—
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—41no—
718C4×C29—41no—
719C4×C29—41no—
720C4×C29—41no—
721C4×C29—41no—
722C4×C29—41no—
723C4×C29—41no—
724C4×C29—41no—
725C2×#125C22×C2911yescharacteristic
726C2×#125C22×C2911yescharacteristic
727C2×#123C22×C2911yescharacteristic
728C2×#123C22×C2911yescharacteristic
729C2×#121C22×C2911yescharacteristic
730C2×#121C22×C2911yescharacteristic
731C2×C4×D4C22×C2911yescharacteristic
732C2×#117C22×C2911yescharacteristic
733C22×C42C22×C2911yescharacteristic
734#401C22×C2911yescharacteristic
735#401C22×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#399C22×C2911yescharacteristic
745#399C22×C2911yescharacteristic
746#398C22×C2911yescharacteristic
747#398C22×C2911yescharacteristic
748#398C22×C2911yescharacteristic
749#398C22×C2911yescharacteristic
750#398C22×C2911yescharacteristic
751#398C22×C2911yescharacteristic
752#397C22×C2911yescharacteristic
753#397C22×C2911yescharacteristic
754#397C22×C2911yescharacteristic
755#397C22×C2911yescharacteristic
756#397C22×C2911yescharacteristic
757#397C22×C2911yescharacteristic
758#397C22×C2911yescharacteristic
759#397C22×C2911yescharacteristic
760#397C22×C2911yescharacteristic
761#397C22×C2911yescharacteristic
762#396C22×C2911yescharacteristic
763#396C22×C2911yescharacteristic
764#396C22×C2911yescharacteristic
765#396C22×C2911yescharacteristic
766#396C22×C2911yescharacteristic
767#396C22×C2911yescharacteristic
768#394C22×C2911yescharacteristic
769#394C22×C2911yescharacteristic
770#394C22×C2911yescharacteristic
771#394C22×C2911yescharacteristic
772#394C22×C2911yescharacteristic
773#394C22×C2911yescharacteristic
774#394C22×C2911yescharacteristic
775#394C22×C2911yescharacteristic
776#394C22×C2911yescharacteristic
777#394C22×C2911yescharacteristic
778#394C22×C2911yescharacteristic
779#394C22×C2911yescharacteristic
780#392C22×C2911yescharacteristic
781#392C22×C2911yescharacteristic
782#390C22×C2911yescharacteristic
783#390C22×C2911yescharacteristic
784#390C22×C2911yescharacteristic
785#390C22×C2911yescharacteristic
786#390C22×C2911yescharacteristic
787#389C22×C2911yescharacteristic
788#389C22×C2911yescharacteristic
789#389C22×C2911yescharacteristic
790#389C22×C2911yescharacteristic
791#389C22×C2911yescharacteristic
792#389C22×C2911yescharacteristic
793#389C22×C2911yescharacteristic
794#388C22×C2911yescharacteristic
795#388C22×C2911yescharacteristic
796#388C22×C2911yescharacteristic
797#388C22×C2911yescharacteristic
798#388C22×C2911yescharacteristic
799#388C22×C2911yescharacteristic
800#388C22×C2911yescharacteristic
801#388C22×C2911yescharacteristic
802#388C22×C2911yescharacteristic
803#388C22×C2911yescharacteristic
804#388C22×C2911yescharacteristic
805#388C22×C2911yescharacteristic
806#388C22×C2911yescharacteristic
807#388C22×C2911yescharacteristic
808#388C22×C2911yescharacteristic
809#388C22×C2911yescharacteristic
810#388C22×C2911yescharacteristic
811#388C22×C2911yescharacteristic
812#388C22×C2911yescharacteristic
813#388C22×C2911yescharacteristic
814#388C22×C2911yescharacteristic
815#388C22×C2911yescharacteristic
816#388C22×C2911yescharacteristic
817#388C22×C2911yescharacteristic
818#388C22×C2911yescharacteristic
819#388C22×C2911yescharacteristic
820#387C22×C2911yescharacteristic
821#387C22×C2911yescharacteristic
822#387C22×C2911yescharacteristic
823#387C22×C2911yescharacteristic
824#387C22×C2911yescharacteristic
825#387C22×C2911yescharacteristic
826#387C22×C2911yescharacteristic
827#387C22×C2911yescharacteristic
828#387C22×C2911yescharacteristic
829#387C22×C2911yescharacteristic
830#387C22×C2911yescharacteristic
831#387C22×C2911yescharacteristic
832#387C22×C2911yescharacteristic
833#387C22×C2911yescharacteristic
834#387C22×C2911yescharacteristic
835#387C22×C2911yescharacteristic
836#387C22×C2911yescharacteristic
837#387C22×C2911yescharacteristic
838#387C22×C2911yescharacteristic
839#387C22×C2911yescharacteristic
840#386C22×C2911yescharacteristic
841#386C22×C2911yescharacteristic
842#386C22×C2911yescharacteristic
843#386C22×C2911yescharacteristic
844#386C22×C2911yescharacteristic
845#386C22×C2911yescharacteristic
846#386C22×C2911yescharacteristic
847#386C22×C2911yescharacteristic
848#386C22×C2911yescharacteristic
849#386C22×C2911yescharacteristic
850#385C22×C2911yescharacteristic
851#385C22×C2911yescharacteristic
852#385C22×C2911yescharacteristic
853#385C22×C2911yescharacteristic
854#385C22×C2911yescharacteristic
855#385C22×C2911yescharacteristic
856#385C22×C2911yescharacteristic
857#385C22×C2911yescharacteristic
858#385C22×C2911yescharacteristic
859#385C22×C2911yescharacteristic
860#385C22×C2911yescharacteristic
861#385C22×C2911yescharacteristic
862#382C22×C2911yescharacteristic
863#382C22×C2911yescharacteristic
864#382C22×C2911yescharacteristic
865#382C22×C2911yescharacteristic
866#381C22×C2911yescharacteristic
867#381C22×C2911yescharacteristic
868#380C22×C2911yescharacteristic
869#380C22×C2911yescharacteristic
870#380C22×C2911yescharacteristic
871#380C22×C2911yescharacteristic
872C4×C4⋊C4C22×C2911yescharacteristic
873C4×C4⋊C4C22×C2911yescharacteristic
874C4×C4⋊C4C22×C2911yescharacteristic
875C4×C22⋊C4C22×C2911yescharacteristic
876C4×C22⋊C4C22×C2911yescharacteristic
877C4×C22⋊C4C22×C2911yescharacteristic
878C4×C22⋊C4C22×C2911yescharacteristic
879#376C22×C2911yescharacteristic
880C2×C29—42no—
881C2×C29—81no—
882C2×C29—81no—
883C2×C29—81no—
884C2×C29#345511yescharacteristic
885C2×C29#350511yescharacteristic
886C2×C29#351211yescharacteristic
887C2×C29#353311yescharacteristic
888C2×C29#354011yescharacteristic
889C2×C29#356611yescharacteristic
890C2×C29#356711yescharacteristic
891C22×D4C23×C2911yescharacteristic
892C22×D4C23×C2911yescharacteristic
893C22×D4C23×C2911yescharacteristic
894C22×D4C23×C2911yescharacteristic
895C22×D4C23×C2911yescharacteristic
896C22×D4C23×C2911yescharacteristic
897C23×C4C23×C2911yescharacteristic
898C23×C4C23×C2911yescharacteristic
899C23×C4C23×C2911yescharacteristic
900C23×C4C23×C2911yescharacteristic
901C23×C4C23×C2911yescharacteristic
902C23×C4C23×C2911yescharacteristic
903#125—42no—
904#125—42no—
905#123—24no—
906#123—24no—
907#121—42no—
908#121—42no—
909C4×D4—24no—
910#117—42no—
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×C22⋊C4C23×C2911yescharacteristic
980C2×C22⋊C4C23×C2911yescharacteristic
981C2×C22⋊C4C23×C2911yescharacteristic
982C2×C22⋊C4C23×C2911yescharacteristic
983C2×C22⋊C4C23×C2911yescharacteristic
984C2×C22⋊C4C23×C2911yescharacteristic
985C2×C22⋊C4C23×C2911yescharacteristic
986C2×C22⋊C4C23×C2911yescharacteristic
987C2×C22⋊C4C23×C2911yescharacteristic
988C2×C22⋊C4C23×C2911yescharacteristic
989C2×C42—42no—
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
1001C2×C42C23×C2911yescharacteristic
1002C2×C42C23×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
1053#95C23×C2911yescharacteristic
1054#95C23×C2911yescharacteristic
1055C29#3676911yescharacteristic, direct product factor, Sylow
1056C24C24×C2911yescharacteristic
1057C24C24×C2911yescharacteristic
1058C24C24×C2911yescharacteristic
1059C24C24×C2911yescharacteristic
1060C2×D4—22no—
1061C2×D4—22no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—41no—
1065C2×D4—41no—
1066C2×D4—41no—
1067C2×D4—41no—
1068C2×D4—41no—
1069C2×D4—41no—
1070C2×D4—41no—
1071C2×D4—41no—
1072C2×D4—41no—
1073C2×D4—41no—
1074C2×D4—41no—
1075C2×D4—41no—
1076C2×D4—41no—
1077C2×D4—41no—
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—41no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4#41×C2914yes—
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
1118C22×C4C24×C2911yescharacteristic
1119C22×C4C24×C2911yescharacteristic
1120C22×C4C24×C2911yescharacteristic
1121C22×C4C24×C2911yescharacteristic
1122C22×C4C24×C2911yescharacteristic
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—41no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—41no—
1137C4⋊C4—41no—
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—
1158C4⋊C4—41no—
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—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⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C42—22no—
1202C42—22no—
1203C42—22no—
1204C42—41no—
1205C42—41no—
1206C42—41no—
1207C42—41no—
1208C42—41no—
1209C42—41no—
1210C42—41no—
1211C42—41no—
1212C42—41no—
1213C42—41no—
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—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23C2×#41×C2912yes—
1242C23C25×C2911yescharacteristic
1243D4—44no—
1244D4—82no—
1245D4—82no—
1246D4—82no—
1247D4—82no—
1248D4—82no—
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—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—44no—
1328C2×C4—44no—
1329C2×C4—44no—
1330C2×C4—44no—
1331C2×C4—82no—
1332C2×C4—82no—
1333C2×C4C2×#41×C2912yes—
1334C2×C4C2×#41×C2912yes—
1335C2×C4C29×H(5,𝔽2)12yes—
1336C22—22no—
1337C22—22no—
1338C22—22no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22—41no—
1356C22—41no—
1357C22—41no—
1358C22—41no—
1359C22—41no—
1360C22—41no—
1361C22—41no—
1362C22—41no—
1363C22—41no—
1364C22C22×#41×C2911yescharacteristic
1365C22C2×C29×H(5,𝔽2)11yescharacteristic
1366C22C29×#58511yescharacteristic
1367C22C29×#58511yescharacteristic
1368C22C29×#58511yescharacteristic
1369C22C29×#58511yescharacteristic
1370C22C29×#58511yescharacteristic
1371C4—22no—
1372C4—22no—
1373C4—22no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—41no—
1390C4—41no—
1391C4—41no—
1392C4—41no—
1393C4—41no—
1394C4—41no—
1395C4—41no—
1396C4—41no—
1397C4—41no—
1398C2—42no—
1399C2—81no—
1400C2—81no—
1401C2—81no—
1402C2C29×#345511yescharacteristic
1403C2C29×#350511yescharacteristic
1404C2C29×#351211yescharacteristic
1405C2C29×#353311yescharacteristic
1406C2C29×#354011yescharacteristic
1407C2C29×#356611yescharacteristic
1408C2C29×#356711yescharacteristic
subgroupG/H
center, socleC23×C29C25
commutator, Frattini, cosocleC23C25×C29
prime radicalC29×#2688C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#2854C2semidirect
2. C29×#2851C2semidirect
3. C29×#2801C2semidirect
4. C29×#2797C2semidirect
5. C29×#2787C2semidirect
6. C29×#2782C2semidirect
7. C29×#2781C2semidirect
8. C29×#2779C2semidirect
9. C29×#2772C2semidirect
10. C29×#2772C2semidirect
11. C29×#2765C2semidirect
12. C29×#2761C2semidirect
13. C29×#2753C2semidirect
14. C29×#2746C2semidirect
15. C29×#2719C2semidirect
16. C29×#2711C2semidirect
17. C29×#2711C2semidirect
19. C29×#2630C2semidirect
20. C29×#2630C2semidirect
21. C29×#2597C2semidirect
22. C29×#2596C2semidirect
23. C29×#2576C2semidirect
24. C29×#2575C2semidirect
25. C29×#2531C2semidirect
26. C29×#2528C2semidirect
27. C29×#2476C2semidirect
28. C29×#2475C2semidirect
29. C29×#2335C2semidirect
30. C29×#2335C2semidirect
31. C29×#2290C2semidirect
509. #36769C29direct (N × H)
632. #2854C2×C29semidirect
633. #2851C2×C29semidirect
634. #2801C2×C29semidirect
635. #2797C2×C29semidirect
636. #2787C2×C29semidirect
637. #2782C2×C29semidirect
638. #2781C2×C29semidirect
639. #2779C2×C29semidirect
640. #2772C2×C29semidirect
641. #2772C2×C29semidirect
642. #2765C2×C29semidirect
643. #2761C2×C29semidirect
644. #2753C2×C29semidirect
645. #2746C2×C29semidirect
646. #2719C2×C29semidirect
647. #2711C2×C29semidirect
648. #2711C2×C29semidirect
650. #2630C2×C29semidirect
651. #2630C2×C29semidirect
652. #2597C2×C29semidirect
653. #2596C2×C29semidirect
654. #2576C2×C29semidirect
655. #2575C2×C29semidirect
656. #2531C2×C29semidirect
657. #2528C2×C29semidirect
658. #2476C2×C29semidirect
659. #2475C2×C29semidirect
660. #2335C2×C29semidirect
661. #2335C2×C29semidirect
662. #2290C2×C29semidirect
1055. C29#36769direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#28542
C29×#28512
C29×#28012
C29×#27972
C29×#27872
C29×#27822
C29×#27812
C29×#27792
C29×#27722
C29×#27652
C29×#27612
C29×#27532
C29×#27462
C29×#27192
C29×#27112
C29×#26882
C29×#26302
C29×#25972
C29×#25962
C29×#25762
C29×#25752
C29×#25312
C29×#25282
C29×#24762
C29×#24752
C29×#23352
C29×#22902
#3676929