Finite Group Databasebeta

← C29×#35018 #20329918

Subgroups — C29×#35018 #20329918

Order 7424.

1732 conjugacy classes of subgroups.

The subgroup lattice has 1370 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#2864C211yesmaximal, characteristic, complemented
2C29×#2863C211yesmaximal, characteristic, complemented
3C29×#2855C211yesmaximal, characteristic, complemented
4C29×#2851C211yesmaximal, characteristic, complemented
5C29×#2667C211yesmaximal, characteristic, complemented
6C29×#2666C211yesmaximal, characteristic, complemented
7C29×#2666C211yesmaximal, characteristic, complemented
8C29×#2665C211yesmaximal, characteristic, complemented
9C29×#2590C211yesmaximal, characteristic, complemented
10C29×#2589C211yesmaximal, characteristic, complemented
11C29×#2588C211yesmaximal, characteristic, complemented
12C29×#2587C211yesmaximal, characteristic, complemented
13C29×#2583C211yesmaximal, characteristic, complemented
14C29×#2579C211yesmaximal, characteristic
15C29×#2564C211yesmaximal, characteristic
16C29×#2549C211yesmaximal, characteristic, complemented
17C29×#2522C211yesmaximal, characteristic, complemented
18C29×#2520C211yesmaximal, characteristic, complemented
19C29×#2505C211yesmaximal, characteristic, complemented
20C29×#2473C211yesmaximal, characteristic, complemented
21C29×#2465C211yesmaximal, characteristic, complemented
22C29×#2462C211yesmaximal, characteristic, complemented
23C29×#2450C211yesmaximal, characteristic
24C29×#2449C211yesmaximal, characteristic
25C29×#2329C211yesmaximal, characteristic, complemented
26C29×#2329C211yesmaximal, characteristic, complemented
27C29×#2318C211yesmaximal, characteristic
28C29×#2318C211yesmaximal, characteristic
29C4×C29×C22⋊Q8C211yesmaximal, characteristic, complemented
30C2×C29×#387C211yesmaximal, characteristic, complemented
31C42×D4×C29C211yesmaximal, characteristic
32C2×C29×#125C2211yescharacteristic
33C2×C29×C22⋊Q8C2211yescharacteristic
34C2×C29×C22⋊Q8C2211yescharacteristic
35C2×C29×C22⋊Q8C2211yescharacteristic
36C2×C29×C22⋊Q8C2211yescharacteristic
37C2×C4×Q8×C29C2211yescharacteristic
38C2×C4×D4×C29C2211yescharacteristic
39C2×C4×D4×C29C2211yescharacteristic
40C2×C4×D4×C29C2211yescharacteristic
41C22×C4⋊C4×C29C2211yescharacteristic
42C22×C4⋊C4×C29C2211yescharacteristic
43C22×C42×C29C2211yescharacteristic
44C22×C42×C29C2211yescharacteristic
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×#398C2211yescharacteristic
60C29×#398C2211yescharacteristic
61C29×#398C2211yescharacteristic
62C29×#398C2211yescharacteristic
63C29×#398C2211yescharacteristic
64C29×#398C2211yescharacteristic
65C29×#396C2211yescharacteristic
66C29×#396C2211yescharacteristic
67C29×#396C2211yescharacteristic
68C29×#396C2211yescharacteristic
69C29×#395C2211yescharacteristic
70C29×#395C2211yescharacteristic
71C29×#395C2211yescharacteristic
72C29×#395C2211yescharacteristic
73C29×#395C2211yescharacteristic
74C29×#395C2211yescharacteristic
75C29×#393C2211yescharacteristic
76C29×#393C2211yescharacteristic
77C29×#391C2211yescharacteristic
78C29×#391C2211yescharacteristic
79C29×#391C2211yescharacteristic
80C29×#391C2211yescharacteristic
81C29×#391C2211yescharacteristic
82C29×#391C2211yescharacteristic
83C29×#391C2211yescharacteristic
84C29×#391C2211yescharacteristic
85C29×#389C2211yescharacteristic
86C29×#389C2211yescharacteristic
87C29×#389C2211yescharacteristic
88C29×#389C2211yescharacteristic
89C29×#389C2211yescharacteristic
90C29×#389C2211yescharacteristic
91C29×#389C2211yescharacteristic
92C29×#389C2211yescharacteristic
93C29×#389C2211yescharacteristic
94C29×#389C2211yescharacteristic
95C29×#389C2211yescharacteristic
96C29×#389C2211yescharacteristic
97C29×#389C2211yescharacteristic
98C29×#389C2211yescharacteristic
99C29×#388C2211yescharacteristic
100C29×#388C2211yescharacteristic
101C29×#388C2211yescharacteristic
102C29×#388C2211yescharacteristic
103C29×#387C2211yescharacteristic
104C29×#387C2211yescharacteristic
105C29×#387C2211yescharacteristic
106C29×#387C2211yescharacteristic
107C29×#387C2211yescharacteristic
108C29×#387C2211yescharacteristic
109C29×#387C2211yescharacteristic
110C29×#387C2211yescharacteristic
111C29×#387C2211yescharacteristic
112C29×#387C2211yescharacteristic
113C29×#387C2211yescharacteristic
114C29×#387C2211yescharacteristic
115C29×#387C2211yescharacteristic
116C29×#387C2211yescharacteristic
117C29×#387C2211yescharacteristic
118C29×#387C2211yescharacteristic
119C29×#387C2211yescharacteristic
120C29×#387C2211yescharacteristic
121C29×#387C2211yescharacteristic
122C29×#387C2211yescharacteristic
123C29×#387C2211yescharacteristic
124C29×#387C2211yescharacteristic
125C29×#387C2211yescharacteristic
126C29×#387C2211yescharacteristic
127C29×#387C2211yescharacteristic
128C29×#387C2211yescharacteristic
129C29×#387C2211yescharacteristic
130C29×#387C2211yescharacteristic
131C29×#387C2211yescharacteristic
132C29×#387C2211yescharacteristic
133C29×#387C2211yescharacteristic
134C29×#387C2211yescharacteristic
135C29×#386C2211yescharacteristic
136C29×#386C2211yescharacteristic
137C29×#386C2211yescharacteristic
138C29×#386C2211yescharacteristic
139C29×#385C2211yescharacteristic
140C29×#385C2211yescharacteristic
141C29×#385C2211yescharacteristic
142C29×#385C2211yescharacteristic
143C29×#385C2211yescharacteristic
144C29×#385C2211yescharacteristic
145C29×#385C2211yescharacteristic
146C29×#385C2211yescharacteristic
147C29×#385C2211yescharacteristic
148C29×#385C2211yescharacteristic
149C29×#385C2211yescharacteristic
150C29×#385C2211yescharacteristic
151C29×#385C2211yescharacteristic
152C29×#385C2211yescharacteristic
153C29×#385C2211yescharacteristic
154C29×#385C2211yescharacteristic
155C29×#383C2211yescharacteristic
156C29×#383C2211yescharacteristic
157C29×#382C2211yescharacteristic
158C29×#382C2211yescharacteristic
159C29×#382C2211yescharacteristic
160C29×#381C2211yescharacteristic
161C29×#381C2211yescharacteristic
162C29×#380C2211yescharacteristic
163C29×#380C2211yescharacteristic
164C29×#380C2211yescharacteristic
165C29×#380C2211yescharacteristic
166C29×#380C2211yescharacteristic
167C29×#380C2211yescharacteristic
168C4×C4⋊C4×C29C2211yescharacteristic
169C4×C4⋊C4×C29C2211yescharacteristic
170C4×C4⋊C4×C29C2211yescharacteristic
171C4×C4⋊C4×C29C2211yescharacteristic
172C4×C4⋊C4×C29C2211yescharacteristic
173C4×C4⋊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
182C2×C29×#95C2211yescharacteristic
183C2×C29×#95C2211yescharacteristic
184C2×C29×#95C2211yescharacteristic
185C2×C29×#95C2211yescharacteristic
186C43×C29C2211yescharacteristic
187C22×Q8×C29C2311yescharacteristic
188C22×Q8×C29C2311yescharacteristic
189C22×Q8×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
198C23×C4×C29C2311yescharacteristic
199C23×C4×C29C2311yescharacteristic
200C23×C4×C29C2311yescharacteristic
201C29×#125—42no—
202C29×C22⋊Q8—24no—
203C29×C22⋊Q8—24no—
204C29×C22⋊Q8—24no—
205C29×C22⋊Q8—42no—
206C4×Q8×C29—42no—
207C4×D4×C29—24no—
208C4×D4×C29—24no—
209C4×D4×C29Q818yescomplemented
210C2×C4⋊C4×C29—24no—
211C2×C4⋊C4×C29—42no—
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×C4⋊C4×C29C2311yescharacteristic
252C2×C4⋊C4×C29C2311yescharacteristic
253C2×C4⋊C4×C29C2311yescharacteristic
254C2×C4⋊C4×C29C2311yescharacteristic
255C2×C4⋊C4×C29C2311yescharacteristic
256C2×C4⋊C4×C29C2311yescharacteristic
257C2×C4⋊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×C42×C29—42no—
277C2×C42×C29—42no—
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
295C29×#95C2311yescharacteristic
296C29×#95C2311yescharacteristic
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
355C24×C29C2411yescharacteristic
356C24×C29C2411yescharacteristic
357C2×Q8×C29—22no—
358C2×Q8×C29—22no—
359C2×Q8×C29—22no—
360C2×Q8×C29—41no—
361C2×Q8×C29—41no—
362C2×Q8×C29—41no—
363C2×Q8×C29—41no—
364C2×Q8×C29—41no—
365C2×Q8×C29—41no—
366C2×D4×C29—22no—
367C2×D4×C29—22no—
368C2×D4×C29C2×Q814yes—
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—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—41no—
391C22×C4×C29—41no—
392C22×C4×C29—41no—
393C22×C4×C29—41no—
394C22×C4×C29—41no—
395C22×C4×C29—41no—
396C22×C4×C29C2×Q814yes—
397C22×C4×C29C2×Q814yes—
398C22×C4×C29#4114yes—
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
421C22×C4×C29C2411yescharacteristic
422C22×C4×C29C2411yescharacteristic
423C22×C4×C29C2411yescharacteristic
424C22×C4×C29C2411yescharacteristic
425C22×C4×C29C2411yescharacteristic
426C22×C4×C29C2411yescharacteristic
427C22×C4×C29C2411yescharacteristic
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—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—
461C4⋊C4×C29—41no—
462C4⋊C4×C29—41no—
463C4⋊C4×C29—41no—
464C4⋊C4×C29—41no—
465C4⋊C4×C29—41no—
466C4⋊C4×C29—41no—
467C4⋊C4×C29—41no—
468C4⋊C4×C29—41no—
469C4⋊C4×C29—41no—
470C4⋊C4×C29—41no—
471C4⋊C4×C29—41no—
472C4⋊C4×C29—41no—
473C4⋊C4×C29C2×Q814yes—
474C22⋊C4×C29—22no—
475C22⋊C4×C29—22no—
476C22⋊C4×C29—22no—
477C22⋊C4×C29—22no—
478C22⋊C4×C29—22no—
479C22⋊C4×C29—22no—
480C22⋊C4×C29—22no—
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×C29C2×Q814yes—
490C22⋊C4×C29C2×Q814yes—
491C22⋊C4×C29#4114yes—
492C42×C29—22no—
493C42×C29—22no—
494C42×C29—22no—
495C42×C29—22no—
496C42×C29—22no—
497C42×C29—41no—
498C42×C29—41no—
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×C29C2×Q814yes—
509#35018C2911yesmaximal, 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×C29C22×Q812yes—
521C23×C29C22×Q812yes—
522C23×C29C2×#4112yes—
523C23×C29C2×#4112yes—
524C23×C29C2511yescharacteristic
525Q8×C29—44no—
526Q8×C29—82no—
527Q8×C29—82no—
528D4×C29—28no—
529C2×C4×C29—21no—
530C2×C4×C29—21no—
531C2×C4×C29—21no—
532C2×C4×C29—21no—
533C2×C4×C29—21no—
534C2×C4×C29—21no—
535C2×C4×C29—21no—
536C2×C4×C29—21no—
537C2×C4×C29—21no—
538C2×C4×C29—21no—
539C2×C4×C29—21no—
540C2×C4×C29—21no—
541C2×C4×C29—21no—
542C2×C4×C29—21no—
543C2×C4×C29—21no—
544C2×C4×C29—21no—
545C2×C4×C29—21no—
546C2×C4×C29—21no—
547C2×C4×C29—21no—
548C2×C4×C29—21no—
549C2×C4×C29—21no—
550C2×C4×C29—21no—
551C2×C4×C29—21no—
552C2×C4×C29—21no—
553C2×C4×C29—21no—
554C2×C4×C29—21no—
555C2×C4×C29—21no—
556C2×C4×C29—21no—
557C2×C4×C29—21no—
558C2×C4×C29—21no—
559C2×C4×C29—21no—
560C2×C4×C29—21no—
561C2×C4×C29—21no—
562C2×C4×C29—21no—
563C2×C4×C29—21no—
564C2×C4×C29—21no—
565C2×C4×C29—21no—
566C2×C4×C29—21no—
567C2×C4×C29—21no—
568C2×C4×C29—21no—
569C2×C4×C29—21no—
570C2×C4×C29—21no—
571C2×C4×C29—21no—
572C2×C4×C29—21no—
573C2×C4×C29—21no—
574C2×C4×C29—21no—
575C2×C4×C29—21no—
576C2×C4×C29—21no—
577C2×C4×C29—21no—
578C2×C4×C29—21no—
579C2×C4×C29—21no—
580C2×C4×C29—21no—
581C2×C4×C29—21no—
582C2×C4×C29—21no—
583C2×C4×C29—21no—
584C2×C4×C29—21no—
585C2×C4×C29—21no—
586C2×C4×C29—21no—
587C2×C4×C29—21no—
588C2×C4×C29—21no—
589C2×C4×C29—21no—
590C2×C4×C29—21no—
591C2×C4×C29—21no—
592C2×C4×C29—21no—
593C2×C4×C29—21no—
594C2×C4×C29—21no—
595C2×C4×C29—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—44no—
607C2×C4×C29—44no—
608C2×C4×C29—44no—
609C2×C4×C29—44no—
610C2×C4×C29—44no—
611C2×C4×C29—44no—
612C2×C4×C29—44no—
613C2×C4×C29—44no—
614C2×C4×C29—82no—
615C2×C4×C29—82no—
616C2×C4×C29C22×Q812yes—
617C2×C4×C29C22×Q812yes—
618C2×C4×C29C22×Q812yes—
619C2×C4×C29C22×Q812yes—
620C2×C4×C29C22×Q812yes—
621C2×C4×C29C2×#4112yes—
622C2×C4×C29C2×#4112yes—
623C2×C4×C29C2×#4112yes—
624C2×C4×C29C2×#4112yes—
625C2×C4×C29H(5,𝔽2)12yes—
626#2864C2×C2911yescharacteristic, complemented
627#2863C2×C2911yescharacteristic, complemented
628#2855C2×C2911yescharacteristic, complemented
629#2851C2×C2911yescharacteristic, complemented
630#2667C2×C2911yescharacteristic, complemented
631#2666C2×C2911yescharacteristic, complemented
632#2666C2×C2911yescharacteristic, complemented
633#2665C2×C2911yescharacteristic, complemented
634#2590C2×C2911yescharacteristic, complemented
635#2589C2×C2911yescharacteristic, complemented
636#2588C2×C2911yescharacteristic, complemented
637#2587C2×C2911yescharacteristic, complemented
638#2583C2×C2911yescharacteristic, complemented
639#2579C2×C2911yescharacteristic
640#2564C2×C2911yescharacteristic
641#2549C2×C2911yescharacteristic, complemented
642#2522C2×C2911yescharacteristic, complemented
643#2520C2×C2911yescharacteristic, complemented
644#2505C2×C2911yescharacteristic, complemented
645#2473C2×C2911yescharacteristic, complemented
646#2465C2×C2911yescharacteristic, complemented
647#2462C2×C2911yescharacteristic, complemented
648#2450C2×C2911yescharacteristic
649#2449C2×C2911yescharacteristic
650#2329C2×C2911yescharacteristic, complemented
651#2329C2×C2911yescharacteristic, complemented
652#2318C2×C2911yescharacteristic
653#2318C2×C2911yescharacteristic
654C4×C22⋊Q8C2×C2911yescharacteristic, complemented
655C2×#387C2×C2911yescharacteristic, complemented
656C42×D4C2×C2911yescharacteristic
657C22×C29—22no—
658C22×C29—22no—
659C22×C29—22no—
660C22×C29—22no—
661C22×C29—22no—
662C22×C29—22no—
663C22×C29—22no—
664C22×C29—22no—
665C22×C29—22no—
666C22×C29—41no—
667C22×C29—41no—
668C22×C29—41no—
669C22×C29—41no—
670C22×C29#53314yes—
671C22×C29C23×Q811yescharacteristic
672C22×C29C22×#4111yescharacteristic
673C22×C29C22×#4111yescharacteristic
674C22×C29C2×H(5,𝔽2)11yescharacteristic
675C22×C29#58511yescharacteristic
676C22×C29#58511yescharacteristic
677C22×C29#58511yescharacteristic
678C4×C29—22no—
679C4×C29—22no—
680C4×C29—22no—
681C4×C29—22no—
682C4×C29—22no—
683C4×C29—22no—
684C4×C29—22no—
685C4×C29—22no—
686C4×C29—22no—
687C4×C29—22no—
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—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—
707C2×#125C22×C2911yescharacteristic
708C2×C22⋊Q8C22×C2911yescharacteristic
709C2×C22⋊Q8C22×C2911yescharacteristic
710C2×C22⋊Q8C22×C2911yescharacteristic
711C2×C22⋊Q8C22×C2911yescharacteristic
712C2×C4×Q8C22×C2911yescharacteristic
713C2×C4×D4C22×C2911yescharacteristic
714C2×C4×D4C22×C2911yescharacteristic
715C2×C4×D4C22×C2911yescharacteristic
716C22×C4⋊C4C22×C2911yescharacteristic
717C22×C4⋊C4C22×C2911yescharacteristic
718C22×C42C22×C2911yescharacteristic
719C22×C42C22×C2911yescharacteristic
720#400C22×C2911yescharacteristic
721#400C22×C2911yescharacteristic
722#400C22×C2911yescharacteristic
723#400C22×C2911yescharacteristic
724#400C22×C2911yescharacteristic
725#400C22×C2911yescharacteristic
726#399C22×C2911yescharacteristic
727#399C22×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#398C22×C2911yescharacteristic
737#398C22×C2911yescharacteristic
738#398C22×C2911yescharacteristic
739#398C22×C2911yescharacteristic
740#396C22×C2911yescharacteristic
741#396C22×C2911yescharacteristic
742#396C22×C2911yescharacteristic
743#396C22×C2911yescharacteristic
744#395C22×C2911yescharacteristic
745#395C22×C2911yescharacteristic
746#395C22×C2911yescharacteristic
747#395C22×C2911yescharacteristic
748#395C22×C2911yescharacteristic
749#395C22×C2911yescharacteristic
750#393C22×C2911yescharacteristic
751#393C22×C2911yescharacteristic
752#391C22×C2911yescharacteristic
753#391C22×C2911yescharacteristic
754#391C22×C2911yescharacteristic
755#391C22×C2911yescharacteristic
756#391C22×C2911yescharacteristic
757#391C22×C2911yescharacteristic
758#391C22×C2911yescharacteristic
759#391C22×C2911yescharacteristic
760#389C22×C2911yescharacteristic
761#389C22×C2911yescharacteristic
762#389C22×C2911yescharacteristic
763#389C22×C2911yescharacteristic
764#389C22×C2911yescharacteristic
765#389C22×C2911yescharacteristic
766#389C22×C2911yescharacteristic
767#389C22×C2911yescharacteristic
768#389C22×C2911yescharacteristic
769#389C22×C2911yescharacteristic
770#389C22×C2911yescharacteristic
771#389C22×C2911yescharacteristic
772#389C22×C2911yescharacteristic
773#389C22×C2911yescharacteristic
774#388C22×C2911yescharacteristic
775#388C22×C2911yescharacteristic
776#388C22×C2911yescharacteristic
777#388C22×C2911yescharacteristic
778#387C22×C2911yescharacteristic
779#387C22×C2911yescharacteristic
780#387C22×C2911yescharacteristic
781#387C22×C2911yescharacteristic
782#387C22×C2911yescharacteristic
783#387C22×C2911yescharacteristic
784#387C22×C2911yescharacteristic
785#387C22×C2911yescharacteristic
786#387C22×C2911yescharacteristic
787#387C22×C2911yescharacteristic
788#387C22×C2911yescharacteristic
789#387C22×C2911yescharacteristic
790#387C22×C2911yescharacteristic
791#387C22×C2911yescharacteristic
792#387C22×C2911yescharacteristic
793#387C22×C2911yescharacteristic
794#387C22×C2911yescharacteristic
795#387C22×C2911yescharacteristic
796#387C22×C2911yescharacteristic
797#387C22×C2911yescharacteristic
798#387C22×C2911yescharacteristic
799#387C22×C2911yescharacteristic
800#387C22×C2911yescharacteristic
801#387C22×C2911yescharacteristic
802#387C22×C2911yescharacteristic
803#387C22×C2911yescharacteristic
804#387C22×C2911yescharacteristic
805#387C22×C2911yescharacteristic
806#387C22×C2911yescharacteristic
807#387C22×C2911yescharacteristic
808#387C22×C2911yescharacteristic
809#387C22×C2911yescharacteristic
810#386C22×C2911yescharacteristic
811#386C22×C2911yescharacteristic
812#386C22×C2911yescharacteristic
813#386C22×C2911yescharacteristic
814#385C22×C2911yescharacteristic
815#385C22×C2911yescharacteristic
816#385C22×C2911yescharacteristic
817#385C22×C2911yescharacteristic
818#385C22×C2911yescharacteristic
819#385C22×C2911yescharacteristic
820#385C22×C2911yescharacteristic
821#385C22×C2911yescharacteristic
822#385C22×C2911yescharacteristic
823#385C22×C2911yescharacteristic
824#385C22×C2911yescharacteristic
825#385C22×C2911yescharacteristic
826#385C22×C2911yescharacteristic
827#385C22×C2911yescharacteristic
828#385C22×C2911yescharacteristic
829#385C22×C2911yescharacteristic
830#383C22×C2911yescharacteristic
831#383C22×C2911yescharacteristic
832#382C22×C2911yescharacteristic
833#382C22×C2911yescharacteristic
834#382C22×C2911yescharacteristic
835#381C22×C2911yescharacteristic
836#381C22×C2911yescharacteristic
837#380C22×C2911yescharacteristic
838#380C22×C2911yescharacteristic
839#380C22×C2911yescharacteristic
840#380C22×C2911yescharacteristic
841#380C22×C2911yescharacteristic
842#380C22×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×C22⋊C4C22×C2911yescharacteristic
850C4×C22⋊C4C22×C2911yescharacteristic
851C4×C22⋊C4C22×C2911yescharacteristic
852C4×C22⋊C4C22×C2911yescharacteristic
853C4×C22⋊C4C22×C2911yescharacteristic
854C4×C22⋊C4C22×C2911yescharacteristic
855C4×C22⋊C4C22×C2911yescharacteristic
856C4×C22⋊C4C22×C2911yescharacteristic
857C2×#95C22×C2911yescharacteristic
858C2×#95C22×C2911yescharacteristic
859C2×#95C22×C2911yescharacteristic
860C2×#95C22×C2911yescharacteristic
861C43C22×C2911yescharacteristic
862C2×C29—24no—
863C2×C29—42no—
864C2×C29C2×#53311yescharacteristic
865C2×C29#345511yescharacteristic
866C2×C29#345911yescharacteristic
867C2×C29#350111yescharacteristic
868C2×C29#350411yescharacteristic
869C2×C29#351311yescharacteristic
870C2×C29#352111yescharacteristic
871C22×Q8C23×C2911yescharacteristic
872C22×Q8C23×C2911yescharacteristic
873C22×Q8C23×C2911yescharacteristic
874C22×D4C23×C2911yescharacteristic
875C23×C4C23×C2911yescharacteristic
876C23×C4C23×C2911yescharacteristic
877C23×C4C23×C2911yescharacteristic
878C23×C4C23×C2911yescharacteristic
879C23×C4C23×C2911yescharacteristic
880C23×C4C23×C2911yescharacteristic
881C23×C4C23×C2911yescharacteristic
882C23×C4C23×C2911yescharacteristic
883C23×C4C23×C2911yescharacteristic
884C23×C4C23×C2911yescharacteristic
885#125—42no—
886C22⋊Q8—24no—
887C22⋊Q8—24no—
888C22⋊Q8—24no—
889C22⋊Q8—42no—
890C4×Q8—42no—
891C4×D4—24no—
892C4×D4—24no—
893C4×D4Q8×C2918yescomplemented
894C2×C4⋊C4—24no—
895C2×C4⋊C4—42no—
896C2×C4⋊C4C23×C2911yescharacteristic
897C2×C4⋊C4C23×C2911yescharacteristic
898C2×C4⋊C4C23×C2911yescharacteristic
899C2×C4⋊C4C23×C2911yescharacteristic
900C2×C4⋊C4C23×C2911yescharacteristic
901C2×C4⋊C4C23×C2911yescharacteristic
902C2×C4⋊C4C23×C2911yescharacteristic
903C2×C4⋊C4C23×C2911yescharacteristic
904C2×C4⋊C4C23×C2911yescharacteristic
905C2×C4⋊C4C23×C2911yescharacteristic
906C2×C4⋊C4C23×C2911yescharacteristic
907C2×C4⋊C4C23×C2911yescharacteristic
908C2×C4⋊C4C23×C2911yescharacteristic
909C2×C4⋊C4C23×C2911yescharacteristic
910C2×C4⋊C4C23×C2911yescharacteristic
911C2×C4⋊C4C23×C2911yescharacteristic
912C2×C4⋊C4C23×C2911yescharacteristic
913C2×C4⋊C4C23×C2911yescharacteristic
914C2×C4⋊C4C23×C2911yescharacteristic
915C2×C4⋊C4C23×C2911yescharacteristic
916C2×C4⋊C4C23×C2911yescharacteristic
917C2×C4⋊C4C23×C2911yescharacteristic
918C2×C4⋊C4C23×C2911yescharacteristic
919C2×C4⋊C4C23×C2911yescharacteristic
920C2×C4⋊C4C23×C2911yescharacteristic
921C2×C4⋊C4C23×C2911yescharacteristic
922C2×C4⋊C4C23×C2911yescharacteristic
923C2×C4⋊C4C23×C2911yescharacteristic
924C2×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×C22⋊C4C23×C2911yescharacteristic
943C2×C22⋊C4C23×C2911yescharacteristic
944C2×C22⋊C4C23×C2911yescharacteristic
945C2×C22⋊C4C23×C2911yescharacteristic
946C2×C22⋊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×C42—42no—
961C2×C42—42no—
962C2×C42C23×C2911yescharacteristic
963C2×C42C23×C2911yescharacteristic
964C2×C42C23×C2911yescharacteristic
965C2×C42C23×C2911yescharacteristic
966C2×C42C23×C2911yescharacteristic
967C2×C42C23×C2911yescharacteristic
968C2×C42C23×C2911yescharacteristic
969C2×C42C23×C2911yescharacteristic
970C2×C42C23×C2911yescharacteristic
971C2×C42C23×C2911yescharacteristic
972C2×C42C23×C2911yescharacteristic
973C2×C42C23×C2911yescharacteristic
974C2×C42C23×C2911yescharacteristic
975C2×C42C23×C2911yescharacteristic
976C2×C42C23×C2911yescharacteristic
977C2×C42C23×C2911yescharacteristic
978C2×C42C23×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
1031#95C23×C2911yescharacteristic
1032#95C23×C2911yescharacteristic
1033#95C23×C2911yescharacteristic
1034#95C23×C2911yescharacteristic
1035#95C23×C2911yescharacteristic
1036#95C23×C2911yescharacteristic
1037#95C23×C2911yescharacteristic
1038#95C23×C2911yescharacteristic
1039C29#3501811yescharacteristic, direct product factor, Sylow
1040C24C24×C2911yescharacteristic
1041C24C24×C2911yescharacteristic
1042C2×Q8—22no—
1043C2×Q8—22no—
1044C2×Q8—22no—
1045C2×Q8—41no—
1046C2×Q8—41no—
1047C2×Q8—41no—
1048C2×Q8—41no—
1049C2×Q8—41no—
1050C2×Q8—41no—
1051C2×D4—22no—
1052C2×D4—22no—
1053C2×D4C2×Q8×C2914yes—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—41no—
1064C22×C4—41no—
1065C22×C4—41no—
1066C22×C4—41no—
1067C22×C4—41no—
1068C22×C4—41no—
1069C22×C4—41no—
1070C22×C4—41no—
1071C22×C4—41no—
1072C22×C4—41no—
1073C22×C4—41no—
1074C22×C4—41no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—41no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4C2×Q8×C2914yes—
1082C22×C4C2×Q8×C2914yes—
1083C22×C4#41×C2914yes—
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
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
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—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⋊C4C2×Q8×C2914yes—
1159C22⋊C4—22no—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—41no—
1167C22⋊C4—41no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—41no—
1173C22⋊C4—41no—
1174C22⋊C4C2×Q8×C2914yes—
1175C22⋊C4C2×Q8×C2914yes—
1176C22⋊C4#41×C2914yes—
1177C42—22no—
1178C42—22no—
1179C42—22no—
1180C42—22no—
1181C42—22no—
1182C42—41no—
1183C42—41no—
1184C42—41no—
1185C42—41no—
1186C42—41no—
1187C42—41no—
1188C42—41no—
1189C42—41no—
1190C42—41no—
1191C42—41no—
1192C42—41no—
1193C42C2×Q8×C2914yes—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23C22×Q8×C2912yes—
1205C23C22×Q8×C2912yes—
1206C23C2×#41×C2912yes—
1207C23C2×#41×C2912yes—
1208C23C25×C2911yescharacteristic
1209Q8—44no—
1210Q8—82no—
1211Q8—82no—
1212D4—28no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—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—44no—
1291C2×C4—44no—
1292C2×C4—44no—
1293C2×C4—44no—
1294C2×C4—44no—
1295C2×C4—44no—
1296C2×C4—44no—
1297C2×C4—44no—
1298C2×C4—82no—
1299C2×C4—82no—
1300C2×C4C22×Q8×C2912yes—
1301C2×C4C22×Q8×C2912yes—
1302C2×C4C22×Q8×C2912yes—
1303C2×C4C22×Q8×C2912yes—
1304C2×C4C22×Q8×C2912yes—
1305C2×C4C2×#41×C2912yes—
1306C2×C4C2×#41×C2912yes—
1307C2×C4C2×#41×C2912yes—
1308C2×C4C2×#41×C2912yes—
1309C2×C4C29×H(5,𝔽2)12yes—
1310C22—22no—
1311C22—22no—
1312C22—22no—
1313C22—22no—
1314C22—22no—
1315C22—22no—
1316C22—22no—
1317C22—22no—
1318C22—22no—
1319C22—41no—
1320C22—41no—
1321C22—41no—
1322C22—41no—
1323C22C29×#53314yes—
1324C22C23×Q8×C2911yescharacteristic
1325C22C22×#41×C2911yescharacteristic
1326C22C22×#41×C2911yescharacteristic
1327C22C2×C29×H(5,𝔽2)11yescharacteristic
1328C22C29×#58511yescharacteristic
1329C22C29×#58511yescharacteristic
1330C22C29×#58511yescharacteristic
1331C4—22no—
1332C4—22no—
1333C4—22no—
1334C4—22no—
1335C4—22no—
1336C4—22no—
1337C4—22no—
1338C4—22no—
1339C4—22no—
1340C4—22no—
1341C4—41no—
1342C4—41no—
1343C4—41no—
1344C4—41no—
1345C4—41no—
1346C4—41no—
1347C4—41no—
1348C4—41no—
1349C4—41no—
1350C4—41no—
1351C4—41no—
1352C4—41no—
1353C4—41no—
1354C4—41no—
1355C4—41no—
1356C4—41no—
1357C4—41no—
1358C4—41no—
1359C4—41no—
1360C2—24no—
1361C2—42no—
1362C2C2×C29×#53311yescharacteristic
1363C2C29×#345511yescharacteristic
1364C2C29×#345911yescharacteristic
1365C2C29×#350111yescharacteristic
1366C2C29×#350411yescharacteristic
1367C2C29×#351311yescharacteristic
1368C2C29×#352111yescharacteristic
subgroupG/H
center, socleC23×C29C25
commutator, Frattini, cosocleC23C25×C29
prime radicalC22×D4×C29C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#2864C2semidirect
2. C29×#2863C2semidirect
3. C29×#2855C2semidirect
4. C29×#2851C2semidirect
5. C29×#2667C2semidirect
6. C29×#2666C2semidirect
7. C29×#2666C2semidirect
8. C29×#2665C2semidirect
9. C29×#2590C2semidirect
10. C29×#2589C2semidirect
11. C29×#2588C2semidirect
12. C29×#2587C2semidirect
13. C29×#2583C2semidirect
16. C29×#2549C2semidirect
17. C29×#2522C2semidirect
18. C29×#2520C2semidirect
19. C29×#2505C2semidirect
20. C29×#2473C2semidirect
21. C29×#2465C2semidirect
22. C29×#2462C2semidirect
25. C29×#2329C2semidirect
26. C29×#2329C2semidirect
29. C4×C29×C22⋊Q8C2semidirect
30. C2×C29×#387C2semidirect
209. C4×D4×C29Q8semidirect
509. #35018C29direct (N × H)
626. #2864C2×C29semidirect
627. #2863C2×C29semidirect
628. #2855C2×C29semidirect
629. #2851C2×C29semidirect
630. #2667C2×C29semidirect
631. #2666C2×C29semidirect
632. #2666C2×C29semidirect
633. #2665C2×C29semidirect
634. #2590C2×C29semidirect
635. #2589C2×C29semidirect
636. #2588C2×C29semidirect
637. #2587C2×C29semidirect
638. #2583C2×C29semidirect
641. #2549C2×C29semidirect
642. #2522C2×C29semidirect
643. #2520C2×C29semidirect
644. #2505C2×C29semidirect
645. #2473C2×C29semidirect
646. #2465C2×C29semidirect
647. #2462C2×C29semidirect
650. #2329C2×C29semidirect
651. #2329C2×C29semidirect
654. C4×C22⋊Q8C2×C29semidirect
655. C2×#387C2×C29semidirect
893. C4×D4Q8×C29semidirect
1039. C29#35018direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#28642
C29×#28632
C29×#28552
C29×#28512
C29×#26672
C29×#26662
C29×#26652
C29×#25902
C29×#25892
C29×#25882
C29×#25872
C29×#25832
C29×#25792
C29×#25642
C29×#25492
C29×#25222
C29×#25202
C29×#25052
C29×#24732
C29×#24652
C29×#24622
C29×#24502
C29×#24492
C29×#23292
C29×#23182
C4×C29×C22⋊Q82
C2×C29×#3872
C42×D4×C292
#3501829