Finite Group Databasebeta

← C29×#36744 #20331644

Subgroups — C29×#36744 #20331644

Order 7424.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C29×#540C211yesmaximal, characteristic, complemented
2C2×C29×#538C211yesmaximal, characteristic, complemented
3C29×#2856C211yesmaximal, characteristic, complemented
4C29×#2854C211yesmaximal, characteristic, complemented
5C29×#2721C211yesmaximal, characteristic, complemented
6C29×#2714C211yesmaximal, characteristic, complemented
7C29×#2694C211yesmaximal, characteristic, complemented
8C29×#2681C211yesmaximal, characteristic, complemented
9C29×#2680C211yesmaximal, characteristic, complemented
10C29×#2678C211yesmaximal, characteristic, complemented
11C29×#2676C211yesmaximal, characteristic, complemented
12C29×#2675C211yesmaximal, characteristic, complemented
13C29×#2673C211yesmaximal, characteristic, complemented
14C29×#2673C211yesmaximal, characteristic, complemented
15C29×#2672C211yesmaximal, characteristic, complemented
16C29×#2671C211yesmaximal, characteristic, complemented
17C29×#2671C211yesmaximal, characteristic, complemented
18C29×#2669C211yesmaximal, characteristic, complemented
19C29×#2669C211yesmaximal, characteristic, complemented
20C29×#2668C211yesmaximal, characteristic, complemented
21C29×#2661C211yesmaximal, characteristic, complemented
22C29×#2661C211yesmaximal, characteristic, complemented
23C29×#2610C211yesmaximal, characteristic, complemented
24C29×#2603C211yesmaximal, characteristic, complemented
25C29×#2602C211yesmaximal, characteristic, complemented
26C29×#2601C211yesmaximal, characteristic, complemented
27C29×#2540C211yesmaximal, characteristic, complemented
28C29×#2539C211yesmaximal, characteristic, complemented
29C29×#2414C211yesmaximal, characteristic, complemented
30C29×#2411C211yesmaximal, characteristic, complemented
31C29×#2290C211yesmaximal, characteristic, complemented
32C29×#540—28no—
33C29×#538—28no—
34C2×C29×#127C2211yescharacteristic
35C2×C29×#127C2211yescharacteristic
36C2×C29×#126C2211yescharacteristic
37C2×C29×#126C2211yescharacteristic
38C2×C29×#125C2211yescharacteristic, complemented
39C2×C29×#124C2211yescharacteristic
40C2×C29×#124C2211yescharacteristic
41C2×C29×#123C2211yescharacteristic
42C2×C29×#123C2211yescharacteristic
43C2×C29×#123C2211yescharacteristic
44C2×C29×#123C2211yescharacteristic
45C2×C29×#123C2211yescharacteristic
46C2×C29×#123C2211yescharacteristic
47C2×C29×#123C2211yescharacteristic, complemented
48C2×C29×#123C2211yescharacteristic, complemented
49C2×C29×C22⋊Q8C2211yescharacteristic
50C2×C29×C22⋊Q8C2211yescharacteristic, complemented
51C2×C29×C22⋊Q8C2211yescharacteristic, complemented
52C2×C29×#121C2211yescharacteristic
53C2×C29×#121C2211yescharacteristic
54C2×C29×#121C2211yescharacteristic
55C2×C29×#121C2211yescharacteristic
56C2×C29×#121C2211yescharacteristic
57C2×C29×#121C2211yescharacteristic
58C2×C29×#121C2211yescharacteristic
59C2×C29×#121C2211yescharacteristic
60C2×C29×#121C2211yescharacteristic
61C2×C29×#121C2211yescharacteristic
62C2×C29×#121C2211yescharacteristic
63C2×C29×#121C2211yescharacteristic, complemented
64C2×C29×#121C2211yescharacteristic, complemented
65C2×C29×#121C2211yescharacteristic, complemented
66C2×C29×#121C2211yescharacteristic, complemented
67C2×C29×#121C2211yescharacteristic, complemented
68C2×C29×#121C2211yescharacteristic, complemented
69C2×C29×#120C2211yescharacteristic
70C2×C29×#120C2211yescharacteristic
71C2×C29×#120C2211yescharacteristic
72C2×C29×#120C2211yescharacteristic
73C2×C29×#120C2211yescharacteristic
74C2×C4×D4×C29C2211yescharacteristic
75C2×C4×D4×C29C2211yescharacteristic
76C2×C4×D4×C29C2211yescharacteristic, complemented
77C2×C29×#117C2211yescharacteristic
78C2×C29×#117C2211yescharacteristic, complemented
79C22×C22⋊C4×C29C2211yescharacteristic
80C22×C42×C29C2211yescharacteristic, complemented
81C29×#399C2211yescharacteristic
82C29×#399C2211yescharacteristic
83C29×#399C2211yescharacteristic
84C29×#399C2211yescharacteristic, complemented
85C29×#398C2211yescharacteristic, complemented
86C29×#398C2211yescharacteristic, complemented
87C29×#398C2211yescharacteristic, complemented
88C29×#398C2211yescharacteristic, complemented
89C29×#397C2211yescharacteristic
90C29×#397C2211yescharacteristic
91C29×#397C2211yescharacteristic
92C29×#397C2211yescharacteristic, complemented
93C29×#396C2211yescharacteristic
94C29×#396C2211yescharacteristic
95C29×#396C2211yescharacteristic
96C29×#396C2211yescharacteristic, complemented
97C29×#395C2211yescharacteristic, complemented
98C29×#394C2211yescharacteristic
99C29×#394C2211yescharacteristic
100C29×#394C2211yescharacteristic
101C29×#394C2211yescharacteristic
102C29×#394C2211yescharacteristic
103C29×#394C2211yescharacteristic
104C29×#394C2211yescharacteristic
105C29×#394C2211yescharacteristic
106C29×#394C2211yescharacteristic
107C29×#394C2211yescharacteristic
108C29×#394C2211yescharacteristic, complemented
109C29×#394C2211yescharacteristic, complemented
110C29×#394C2211yescharacteristic, complemented
111C29×#394C2211yescharacteristic, complemented
112C29×#394C2211yescharacteristic, complemented
113C29×#393C2211yescharacteristic, complemented
114C29×#392C2211yescharacteristic
115C29×#392C2211yescharacteristic
116C29×#392C2211yescharacteristic
117C29×#392C2211yescharacteristic
118C29×#392C2211yescharacteristic
119C29×#392C2211yescharacteristic
120C29×#392C2211yescharacteristic
121C29×#392C2211yescharacteristic
122C29×#392C2211yescharacteristic
123C29×#392C2211yescharacteristic
124C29×#392C2211yescharacteristic
125C29×#392C2211yescharacteristic
126C29×#392C2211yescharacteristic
127C29×#392C2211yescharacteristic, complemented
128C29×#392C2211yescharacteristic, complemented
129C29×#390C2211yescharacteristic
130C29×#390C2211yescharacteristic
131C29×#390C2211yescharacteristic
132C29×#390C2211yescharacteristic
133C29×#390C2211yescharacteristic
134C29×#390C2211yescharacteristic
135C29×#390C2211yescharacteristic
136C29×#390C2211yescharacteristic
137C29×#390C2211yescharacteristic, complemented
138C29×#390C2211yescharacteristic, complemented
139C29×#390C2211yescharacteristic, complemented
140C29×#390C2211yescharacteristic, complemented
141C29×#390C2211yescharacteristic, complemented
142C29×#389C2211yescharacteristic, complemented
143C29×#389C2211yescharacteristic, complemented
144C29×#389C2211yescharacteristic, complemented
145C29×#388C2211yescharacteristic
146C29×#388C2211yescharacteristic
147C29×#388C2211yescharacteristic
148C29×#388C2211yescharacteristic
149C29×#388C2211yescharacteristic
150C29×#388C2211yescharacteristic
151C29×#388C2211yescharacteristic
152C29×#388C2211yescharacteristic, complemented
153C29×#388C2211yescharacteristic, complemented
154C29×#388C2211yescharacteristic, complemented
155C29×#388C2211yescharacteristic, complemented
156C29×#388C2211yescharacteristic, complemented
157C29×#388C2211yescharacteristic, complemented
158C29×#388C2211yescharacteristic, complemented
159C29×#387C2211yescharacteristic, complemented
160C29×#387C2211yescharacteristic, complemented
161C29×#387C2211yescharacteristic, complemented
162C29×#387C2211yescharacteristic, complemented
163C29×#386C2211yescharacteristic
164C29×#386C2211yescharacteristic
165C29×#386C2211yescharacteristic
166C29×#386C2211yescharacteristic
167C29×#386C2211yescharacteristic
168C29×#386C2211yescharacteristic
169C29×#386C2211yescharacteristic
170C29×#386C2211yescharacteristic
171C29×#386C2211yescharacteristic, complemented
172C29×#386C2211yescharacteristic, complemented
173C29×#386C2211yescharacteristic, complemented
174C29×#385C2211yescharacteristic
175C29×#385C2211yescharacteristic, complemented
176C29×#385C2211yescharacteristic, complemented
177C29×#385C2211yescharacteristic, complemented
178C29×#385C2211yescharacteristic, complemented
179C29×#385C2211yescharacteristic, complemented
180C29×#385C2211yescharacteristic, complemented
181C29×#384C2211yescharacteristic, complemented
182C29×#380C2211yescharacteristic, complemented
183C29×#380C2211yescharacteristic, complemented
184C29×#379C2211yescharacteristic
185C4×C4⋊C4×C29C2211yescharacteristic, complemented
186C4×C22⋊C4×C29C2211yescharacteristic
187C4×C22⋊C4×C29C2211yescharacteristic, complemented
188C29×#376C2211yescharacteristic, complemented
189C25×C29C2311yescharacteristic
190C22×Q8×C29C2311yescharacteristic
191C22×D4×C29C2311yescharacteristic
192C22×D4×C29C2311yescharacteristic
193C22×D4×C29C2311yescharacteristic
194C22×D4×C29C2311yescharacteristic
195C22×D4×C29C2311yescharacteristic
196C22×D4×C29C2311yescharacteristic
197C22×D4×C29C2311yescharacteristic
198C22×D4×C29C2311yescharacteristic
199C22×D4×C29C2311yescharacteristic
200C22×D4×C29C2311yescharacteristic
201C22×D4×C29C2311yescharacteristic
202C22×D4×C29C2311yescharacteristic
203C22×D4×C29C2311yescharacteristic
204C22×D4×C29C2311yescharacteristic
205C22×D4×C29C2311yescharacteristic
206C22×D4×C29C2311yescharacteristic
207C22×D4×C29C2311yescharacteristic
208C22×D4×C29C2311yescharacteristic
209C22×D4×C29C2311yescharacteristic
210C22×D4×C29C2311yescharacteristic
211C22×D4×C29C2311yescharacteristic
212C22×D4×C29C2311yescharacteristic
213C22×D4×C29C2311yescharacteristic
214C22×D4×C29C2311yescharacteristic
215C22×D4×C29C2311yescharacteristic
216C23×C4×C29C2311yescharacteristic
217C23×C4×C29C2311yescharacteristic
218C23×C4×C29C2311yescharacteristic
219C23×C4×C29C2311yescharacteristic
220C23×C4×C29C2311yescharacteristic
221C23×C4×C29C2311yescharacteristic
222C23×C4×C29C2311yescharacteristic
223C23×C4×C29C2311yescharacteristic
224C23×C4×C29C2311yescharacteristic
225C29×#127—24no—
226C29×#127—42no—
227C29×#126—24no—
228C29×#126—24no—
229C29×#125—24no—
230C29×#124—24no—
231C29×#124—24no—
232C29×#123—24no—
233C29×#123—24no—
234C29×#123—24no—
235C29×#123—24no—
236C29×#123—24no—
237C29×#123—24no—
238C29×#123—42no—
239C29×#123—42no—
240C29×C22⋊Q8—24no—
241C29×C22⋊Q8—42no—
242C29×C22⋊Q8—42no—
243C29×#121—24no—
244C29×#121—24no—
245C29×#121—24no—
246C29×#121—24no—
247C29×#121—24no—
248C29×#121—24no—
249C29×#121—24no—
250C29×#121—24no—
251C29×#121—24no—
252C29×#121—42no—
253C29×#121—42no—
254C29×#121—42no—
255C29×#121—42no—
256C29×#121—42no—
257C29×#121—42no—
258C29×#121—42no—
259C29×#121—42no—
260C29×#120—24no—
261C29×#120—24no—
262C29×#120—42no—
263C29×#120—42no—
264C29×#120—42no—
265C4×D4×C29—24no—
266C4×D4×C29—24no—
267C4×D4×C29D418yescomplemented
268C29×#117—24no—
269C29×#117—42no—
270C2×C4⋊C4×C29C2311yescharacteristic
271C2×C4⋊C4×C29C2311yescharacteristic
272C2×C4⋊C4×C29C2311yescharacteristic
273C2×C4⋊C4×C29C2311yescharacteristic
274C2×C4⋊C4×C29C2311yescharacteristic
275C2×C4⋊C4×C29C2311yescharacteristic
276C2×C4⋊C4×C29C2311yescharacteristic
277C2×C4⋊C4×C29C2311yescharacteristic
278C2×C4⋊C4×C29C2311yescharacteristic
279C2×C4⋊C4×C29C2311yescharacteristic
280C2×C4⋊C4×C29C2311yescharacteristic
281C2×C4⋊C4×C29C2311yescharacteristic
282C2×C4⋊C4×C29C2311yescharacteristic
283C2×C4⋊C4×C29C2311yescharacteristic
284C2×C4⋊C4×C29C2311yescharacteristic
285C2×C4⋊C4×C29C2311yescharacteristic
286C2×C4⋊C4×C29C2311yescharacteristic
287C2×C4⋊C4×C29C2311yescharacteristic
288C2×C4⋊C4×C29C2311yescharacteristic
289C2×C4⋊C4×C29C2311yescharacteristic
290C2×C4⋊C4×C29C2311yescharacteristic
291C2×C4⋊C4×C29C2311yescharacteristic
292C2×C4⋊C4×C29C2311yescharacteristic
293C2×C4⋊C4×C29C2311yescharacteristic
294C2×C4⋊C4×C29C2311yescharacteristic
295C2×C4⋊C4×C29C2311yescharacteristic
296C2×C4⋊C4×C29C2311yescharacteristic
297C2×C4⋊C4×C29C2311yescharacteristic
298C2×C22⋊C4×C29—24no—
299C2×C22⋊C4×C29C2311yescharacteristic
300C2×C22⋊C4×C29C2311yescharacteristic
301C2×C22⋊C4×C29C2311yescharacteristic
302C2×C22⋊C4×C29C2311yescharacteristic
303C2×C22⋊C4×C29C2311yescharacteristic
304C2×C22⋊C4×C29C2311yescharacteristic
305C2×C22⋊C4×C29C2311yescharacteristic
306C2×C22⋊C4×C29C2311yescharacteristic
307C2×C22⋊C4×C29C2311yescharacteristic
308C2×C22⋊C4×C29C2311yescharacteristic
309C2×C22⋊C4×C29C2311yescharacteristic
310C2×C22⋊C4×C29C2311yescharacteristic
311C2×C22⋊C4×C29C2311yescharacteristic
312C2×C22⋊C4×C29C2311yescharacteristic
313C2×C22⋊C4×C29C2311yescharacteristic
314C2×C22⋊C4×C29C2311yescharacteristic
315C2×C22⋊C4×C29C2311yescharacteristic
316C2×C22⋊C4×C29C2311yescharacteristic
317C2×C22⋊C4×C29C2311yescharacteristic
318C2×C22⋊C4×C29C2311yescharacteristic
319C2×C22⋊C4×C29C2311yescharacteristic
320C2×C22⋊C4×C29C2311yescharacteristic
321C2×C22⋊C4×C29C2311yescharacteristic
322C2×C22⋊C4×C29C2311yescharacteristic
323C2×C22⋊C4×C29C2311yescharacteristic
324C2×C22⋊C4×C29C2311yescharacteristic
325C2×C22⋊C4×C29C2311yescharacteristic
326C2×C22⋊C4×C29C2311yescharacteristic
327C2×C22⋊C4×C29C2311yescharacteristic
328C2×C22⋊C4×C29C2311yescharacteristic
329C2×C22⋊C4×C29C2311yescharacteristic
330C2×C22⋊C4×C29C2311yescharacteristic
331C2×C22⋊C4×C29C2311yescharacteristic
332C2×C22⋊C4×C29C2311yescharacteristic
333C2×C22⋊C4×C29C2311yescharacteristic
334C2×C22⋊C4×C29C2311yescharacteristic
335C2×C22⋊C4×C29C2311yescharacteristic
336C2×C22⋊C4×C29C2311yescharacteristic
337C2×C22⋊C4×C29C2311yescharacteristic
338C2×C22⋊C4×C29C2311yescharacteristic
339C2×C22⋊C4×C29C2311yescharacteristic
340C2×C22⋊C4×C29C2311yescharacteristic
341C2×C22⋊C4×C29C2311yescharacteristic
342C2×C22⋊C4×C29C2311yescharacteristic
343C2×C22⋊C4×C29C2311yescharacteristic
344C2×C22⋊C4×C29C2311yescharacteristic
345C2×C22⋊C4×C29C2311yescharacteristic
346C2×C22⋊C4×C29C2311yescharacteristic
347C2×C22⋊C4×C29C2311yescharacteristic
348C2×C22⋊C4×C29C2311yescharacteristic
349C2×C22⋊C4×C29C2311yescharacteristic
350C2×C22⋊C4×C29C2311yescharacteristic
351C2×C22⋊C4×C29C2311yescharacteristic
352C2×C22⋊C4×C29C2311yescharacteristic
353C2×C22⋊C4×C29C2311yescharacteristic
354C2×C22⋊C4×C29C2311yescharacteristic
355C2×C22⋊C4×C29C2311yescharacteristic
356C2×C22⋊C4×C29C2311yescharacteristic
357C2×C42×C29—42no—
358C2×C42×C29C2311yescharacteristic
359C2×C42×C29C2311yescharacteristic
360C2×C42×C29C2311yescharacteristic
361C2×C42×C29C2311yescharacteristic
362C2×C42×C29C2311yescharacteristic
363C2×C42×C29C2311yescharacteristic
364C2×C42×C29C2311yescharacteristic
365C2×C42×C29C2311yescharacteristic
366C2×C42×C29C2311yescharacteristic
367C29×#95C2311yescharacteristic
368C29×#95C2311yescharacteristic
369C29×#95C2311yescharacteristic
370C29×#95C2311yescharacteristic
371C29×#95C2311yescharacteristic
372C29×#95C2311yescharacteristic
373C29×#95C2311yescharacteristic
374C29×#95C2311yescharacteristic
375C29×#95C2311yescharacteristic
376C29×#95C2311yescharacteristic
377C29×#95C2311yescharacteristic
378C29×#95C2311yescharacteristic
379C29×#95C2311yescharacteristic
380C29×#95C2311yescharacteristic
381C29×#95C2311yescharacteristic
382C29×#95C2311yescharacteristic
383C29×#95C2311yescharacteristic
384C29×#95C2311yescharacteristic
385C29×#95C2311yescharacteristic
386C29×#95C2311yescharacteristic
387C29×#95C2311yescharacteristic
388C29×#95C2311yescharacteristic
389C29×#95C2311yescharacteristic
390C29×#95C2311yescharacteristic
391C24×C29—22no—
392C24×C29—41no—
393C24×C29—41no—
394C24×C29—41no—
395C24×C29—41no—
396C24×C29—41no—
397C24×C29—41no—
398C24×C29C2411yescharacteristic
399C24×C29C2411yescharacteristic
400C24×C29C2411yescharacteristic
401C24×C29C2411yescharacteristic
402C24×C29C2411yescharacteristic
403C24×C29C2411yescharacteristic
404C24×C29C2411yescharacteristic
405C24×C29C2411yescharacteristic
406C2×Q8×C29—22no—
407C2×Q8×C29—41no—
408C2×Q8×C29—41no—
409C2×D4×C29—22no—
410C2×D4×C29—22no—
411C2×D4×C29—22no—
412C2×D4×C29—22no—
413C2×D4×C29—22no—
414C2×D4×C29—22no—
415C2×D4×C29—22no—
416C2×D4×C29—22no—
417C2×D4×C29—22no—
418C2×D4×C29—22no—
419C2×D4×C29—22no—
420C2×D4×C29—22no—
421C2×D4×C29—22no—
422C2×D4×C29—22no—
423C2×D4×C29—22no—
424C2×D4×C29—22no—
425C2×D4×C29—22no—
426C2×D4×C29—22no—
427C2×D4×C29—22no—
428C2×D4×C29—22no—
429C2×D4×C29—41no—
430C2×D4×C29—41no—
431C2×D4×C29—41no—
432C2×D4×C29—41no—
433C2×D4×C29—41no—
434C2×D4×C29—41no—
435C2×D4×C29—41no—
436C2×D4×C29—41no—
437C2×D4×C29—41no—
438C2×D4×C29—41no—
439C2×D4×C29—41no—
440C2×D4×C29—41no—
441C2×D4×C29—41no—
442C2×D4×C29—41no—
443C2×D4×C29—41no—
444C2×D4×C29—41no—
445C2×D4×C29—41no—
446C2×D4×C29—41no—
447C2×D4×C29—41no—
448C2×D4×C29—41no—
449C2×D4×C29—41no—
450C2×D4×C29—41no—
451C2×D4×C29—41no—
452C2×D4×C29—41no—
453C2×D4×C29—41no—
454C2×D4×C29—41no—
455C2×D4×C29—41no—
456C2×D4×C29—41no—
457C2×D4×C29—41no—
458C2×D4×C29—41no—
459C2×D4×C29—41no—
460C2×D4×C29—41no—
461C2×D4×C29—41no—
462C2×D4×C29—41no—
463C2×D4×C29—41no—
464C2×D4×C29—41no—
465C2×D4×C29—41no—
466C2×D4×C29—41no—
467C2×D4×C29—41no—
468C2×D4×C29—41no—
469C2×D4×C29—41no—
470C2×D4×C29—41no—
471C2×D4×C29—41no—
472C2×D4×C29—41no—
473C2×D4×C29—41no—
474C2×D4×C29—41no—
475C2×D4×C29—41no—
476C2×D4×C29—41no—
477C2×D4×C29—41no—
478C2×D4×C29—41no—
479C2×D4×C29—41no—
480C2×D4×C29—41no—
481C2×D4×C29—41no—
482C2×D4×C29—41no—
483C2×D4×C29C2×D414yes—
484C22×C4×C29—22no—
485C22×C4×C29—22no—
486C22×C4×C29—22no—
487C22×C4×C29—22no—
488C22×C4×C29—22no—
489C22×C4×C29—22no—
490C22×C4×C29—22no—
491C22×C4×C29—22no—
492C22×C4×C29—41no—
493C22×C4×C29—41no—
494C22×C4×C29—41no—
495C22×C4×C29—41no—
496C22×C4×C29—41no—
497C22×C4×C29—41no—
498C22×C4×C29—41no—
499C22×C4×C29—41no—
500C22×C4×C29—41no—
501C22×C4×C29—41no—
502C22×C4×C29—41no—
503C22×C4×C29—41no—
504C22×C4×C29—41no—
505C22×C4×C29—41no—
506C22×C4×C29—41no—
507C22×C4×C29—41no—
508C22×C4×C29—41no—
509C22×C4×C29C2×D414yes—
510C22×C4×C29C2×D414yes—
511C22×C4×C29C2411yescharacteristic
512C22×C4×C29C2411yescharacteristic
513C22×C4×C29C2411yescharacteristic
514C22×C4×C29C2411yescharacteristic
515C22×C4×C29C2411yescharacteristic
516C22×C4×C29C2411yescharacteristic
517C22×C4×C29C2411yescharacteristic
518C22×C4×C29C2411yescharacteristic
519C22×C4×C29C2411yescharacteristic
520C22×C4×C29C2411yescharacteristic
521C22×C4×C29C2411yescharacteristic
522C22×C4×C29C2411yescharacteristic
523C22×C4×C29C2411yescharacteristic
524C22×C4×C29C2411yescharacteristic
525C22×C4×C29C2411yescharacteristic
526C22×C4×C29C2411yescharacteristic
527C22×C4×C29C2411yescharacteristic
528C22×C4×C29C2411yescharacteristic
529C22×C4×C29C2411yescharacteristic
530C22×C4×C29C2411yescharacteristic
531C22×C4×C29C2411yescharacteristic
532C22×C4×C29C2411yescharacteristic
533C22×C4×C29C2411yescharacteristic
534C4⋊C4×C29—22no—
535C4⋊C4×C29—22no—
536C4⋊C4×C29—22no—
537C4⋊C4×C29—22no—
538C4⋊C4×C29—22no—
539C4⋊C4×C29—22no—
540C4⋊C4×C29—22no—
541C4⋊C4×C29—22no—
542C4⋊C4×C29—22no—
543C4⋊C4×C29—22no—
544C4⋊C4×C29—22no—
545C4⋊C4×C29—22no—
546C4⋊C4×C29—22no—
547C4⋊C4×C29—22no—
548C4⋊C4×C29—22no—
549C4⋊C4×C29—22no—
550C4⋊C4×C29—22no—
551C4⋊C4×C29—22no—
552C4⋊C4×C29—41no—
553C4⋊C4×C29—41no—
554C4⋊C4×C29—41no—
555C4⋊C4×C29—41no—
556C4⋊C4×C29—41no—
557C4⋊C4×C29—41no—
558C4⋊C4×C29—41no—
559C4⋊C4×C29—41no—
560C4⋊C4×C29—41no—
561C4⋊C4×C29C2×D414yes—
562C22⋊C4×C29—22no—
563C22⋊C4×C29—22no—
564C22⋊C4×C29—22no—
565C22⋊C4×C29—22no—
566C22⋊C4×C29—22no—
567C22⋊C4×C29—22no—
568C22⋊C4×C29—22no—
569C22⋊C4×C29—22no—
570C22⋊C4×C29—22no—
571C22⋊C4×C29—22no—
572C22⋊C4×C29—22no—
573C22⋊C4×C29—22no—
574C22⋊C4×C29—22no—
575C22⋊C4×C29—22no—
576C22⋊C4×C29—22no—
577C22⋊C4×C29—22no—
578C22⋊C4×C29—22no—
579C22⋊C4×C29—22no—
580C22⋊C4×C29—22no—
581C22⋊C4×C29—22no—
582C22⋊C4×C29—22no—
583C22⋊C4×C29—22no—
584C22⋊C4×C29—22no—
585C22⋊C4×C29—22no—
586C22⋊C4×C29—22no—
587C22⋊C4×C29—22no—
588C22⋊C4×C29—22no—
589C22⋊C4×C29—22no—
590C22⋊C4×C29—22no—
591C22⋊C4×C29—22no—
592C22⋊C4×C29—22no—
593C22⋊C4×C29—41no—
594C22⋊C4×C29—41no—
595C22⋊C4×C29—41no—
596C22⋊C4×C29—41no—
597C22⋊C4×C29—41no—
598C22⋊C4×C29—41no—
599C22⋊C4×C29—41no—
600C22⋊C4×C29—41no—
601C22⋊C4×C29—41no—
602C22⋊C4×C29—41no—
603C22⋊C4×C29—41no—
604C22⋊C4×C29—41no—
605C22⋊C4×C29—41no—
606C22⋊C4×C29—41no—
607C22⋊C4×C29—41no—
608C22⋊C4×C29—41no—
609C22⋊C4×C29—41no—
610C22⋊C4×C29—41no—
611C22⋊C4×C29—41no—
612C22⋊C4×C29—41no—
613C22⋊C4×C29—41no—
614C22⋊C4×C29—41no—
615C22⋊C4×C29—41no—
616C22⋊C4×C29—41no—
617C22⋊C4×C29—41no—
618C22⋊C4×C29C2×D414yes—
619C22⋊C4×C29C2×D414yes—
620C42×C29—22no—
621C42×C29—22no—
622C42×C29—22no—
623C42×C29—22no—
624C42×C29—41no—
625C42×C29—41no—
626C42×C29—41no—
627C42×C29—41no—
628C42×C29C2×D414yes—
629#36744C2911yesmaximal, characteristic, direct product factor, Sylow
630C23×C29—21no—
631C23×C29—21no—
632C23×C29—21no—
633C23×C29—21no—
634C23×C29—21no—
635C23×C29—21no—
636C23×C29—21no—
637C23×C29—21no—
638C23×C29—21no—
639C23×C29—21no—
640C23×C29—21no—
641C23×C29—21no—
642C23×C29—21no—
643C23×C29—21no—
644C23×C29—21no—
645C23×C29—21no—
646C23×C29—21no—
647C23×C29—21no—
648C23×C29—21no—
649C23×C29—21no—
650C23×C29—21no—
651C23×C29—21no—
652C23×C29—21no—
653C23×C29—21no—
654C23×C29—21no—
655C23×C29—21no—
656C23×C29—21no—
657C23×C29—21no—
658C23×C29—21no—
659C23×C29—21no—
660C23×C29—21no—
661C23×C29—21no—
662C23×C29—21no—
663C23×C29—21no—
664C23×C29—21no—
665C23×C29—21no—
666C23×C29—21no—
667C23×C29—21no—
668C23×C29—21no—
669C23×C29—21no—
670C23×C29—21no—
671C23×C29—21no—
672C23×C29—21no—
673C23×C29—21no—
674C23×C29—21no—
675C23×C29—21no—
676C23×C29—21no—
677C23×C29—21no—
678C23×C29—21no—
679C23×C29—21no—
680C23×C29—21no—
681C23×C29—21no—
682C23×C29—21no—
683C23×C29—21no—
684C23×C29—44no—
685C23×C29—82no—
686C23×C29—82no—
687C23×C29—82no—
688C23×C29—82no—
689C23×C29—82no—
690C23×C29—82no—
691C23×C29C22×D412yes—
692C23×C29C22×D412yes—
693C23×C29C2511yescharacteristic
694Q8×C29—82no—
695D4×C29—44no—
696D4×C29—44no—
697D4×C29—44no—
698D4×C29—82no—
699D4×C29—82no—
700D4×C29—82no—
701D4×C29—82no—
702D4×C29—82no—
703D4×C29—82no—
704D4×C29—82no—
705D4×C29—82no—
706D4×C29—82no—
707D4×C29—82no—
708D4×C29—82no—
709D4×C29—82no—
710D4×C29—82no—
711D4×C29—82no—
712D4×C29—82no—
713D4×C29—82no—
714D4×C29—82no—
715D4×C29—82no—
716D4×C29—82no—
717D4×C29—82no—
718D4×C29—82no—
719D4×C29—82no—
720C2×C4×C29—21no—
721C2×C4×C29—21no—
722C2×C4×C29—21no—
723C2×C4×C29—21no—
724C2×C4×C29—21no—
725C2×C4×C29—21no—
726C2×C4×C29—21no—
727C2×C4×C29—21no—
728C2×C4×C29—21no—
729C2×C4×C29—21no—
730C2×C4×C29—21no—
731C2×C4×C29—21no—
732C2×C4×C29—21no—
733C2×C4×C29—21no—
734C2×C4×C29—21no—
735C2×C4×C29—21no—
736C2×C4×C29—21no—
737C2×C4×C29—21no—
738C2×C4×C29—21no—
739C2×C4×C29—21no—
740C2×C4×C29—21no—
741C2×C4×C29—21no—
742C2×C4×C29—21no—
743C2×C4×C29—21no—
744C2×C4×C29—21no—
745C2×C4×C29—21no—
746C2×C4×C29—21no—
747C2×C4×C29—21no—
748C2×C4×C29—21no—
749C2×C4×C29—21no—
750C2×C4×C29—21no—
751C2×C4×C29—21no—
752C2×C4×C29—21no—
753C2×C4×C29—21no—
754C2×C4×C29—21no—
755C2×C4×C29—21no—
756C2×C4×C29—21no—
757C2×C4×C29—21no—
758C2×C4×C29—21no—
759C2×C4×C29—21no—
760C2×C4×C29—21no—
761C2×C4×C29—21no—
762C2×C4×C29—21no—
763C2×C4×C29—21no—
764C2×C4×C29—21no—
765C2×C4×C29—21no—
766C2×C4×C29—21no—
767C2×C4×C29—21no—
768C2×C4×C29—21no—
769C2×C4×C29—21no—
770C2×C4×C29—21no—
771C2×C4×C29—21no—
772C2×C4×C29—21no—
773C2×C4×C29—21no—
774C2×C4×C29—21no—
775C2×C4×C29—21no—
776C2×C4×C29—21no—
777C2×C4×C29—21no—
778C2×C4×C29—21no—
779C2×C4×C29—21no—
780C2×C4×C29—21no—
781C2×C4×C29—44no—
782C2×C4×C29—44no—
783C2×C4×C29—44no—
784C2×C4×C29—44no—
785C2×C4×C29—44no—
786C2×C4×C29—82no—
787C2×C4×C29—82no—
788C2×C4×C29—82no—
789C2×C4×C29—82no—
790C2×C4×C29C22×D412yes—
791C2×C4×C29C22×D412yes—
792C2×C4×C29C22×D412yes—
793C2×C4×C29C22×D412yes—
794C2×C4×C29C22×D412yes—
795C2×C4×C29H(5,𝔽2)12yes—
796C2×C4×C29H(5,𝔽2)12yes—
797C2×C4×C29H(5,𝔽2)12yes—
798C2×#540C2×C2911yescharacteristic, complemented
799C2×#538C2×C2911yescharacteristic, complemented
800#2856C2×C2911yescharacteristic, complemented
801#2854C2×C2911yescharacteristic, complemented
802#2721C2×C2911yescharacteristic, complemented
803#2714C2×C2911yescharacteristic, complemented
804#2694C2×C2911yescharacteristic, complemented
805#2681C2×C2911yescharacteristic, complemented
806#2680C2×C2911yescharacteristic, complemented
807#2678C2×C2911yescharacteristic, complemented
808#2676C2×C2911yescharacteristic, complemented
809#2675C2×C2911yescharacteristic, complemented
810#2673C2×C2911yescharacteristic, complemented
811#2673C2×C2911yescharacteristic, complemented
812#2672C2×C2911yescharacteristic, complemented
813#2671C2×C2911yescharacteristic, complemented
814#2671C2×C2911yescharacteristic, complemented
815#2669C2×C2911yescharacteristic, complemented
816#2669C2×C2911yescharacteristic, complemented
817#2668C2×C2911yescharacteristic, complemented
818#2661C2×C2911yescharacteristic, complemented
819#2661C2×C2911yescharacteristic, complemented
820#2610C2×C2911yescharacteristic, complemented
821#2603C2×C2911yescharacteristic, complemented
822#2602C2×C2911yescharacteristic, complemented
823#2601C2×C2911yescharacteristic, complemented
824#2540C2×C2911yescharacteristic, complemented
825#2539C2×C2911yescharacteristic, complemented
826#2414C2×C2911yescharacteristic, complemented
827#2411C2×C2911yescharacteristic, complemented
828#2290C2×C2911yescharacteristic, complemented
829C22×C29—22no—
830C22×C29—22no—
831C22×C29—22no—
832C22×C29—22no—
833C22×C29—22no—
834C22×C29—22no—
835C22×C29—41no—
836C22×C29—41no—
837C22×C29—41no—
838C22×C29—41no—
839C22×C29—41no—
840C22×C29—41no—
841C22×C29—41no—
842C22×C29—41no—
843C22×C29—41no—
844C22×C29—41no—
845C22×C29—41no—
846C22×C29—41no—
847C22×C29—41no—
848C22×C29—41no—
849C22×C29—41no—
850C22×C29—41no—
851C22×C29—41no—
852C22×C29—41no—
853C22×C29—41no—
854C22×C29—41no—
855C22×C29—41no—
856C22×C29—41no—
857C22×C29—41no—
858C22×C29—41no—
859C22×C29—41no—
860C22×C29—41no—
861C22×C29—41no—
862C22×C29—41no—
863C22×C29—41no—
864C22×C29—41no—
865C22×C29—41no—
866C22×C29—41no—
867C22×C29—41no—
868C22×C29—41no—
869C22×C29—41no—
870C22×C29—41no—
871C22×C29—41no—
872C22×C29—41no—
873C22×C29—41no—
874C22×C29—41no—
875C22×C29—41no—
876C22×C29—41no—
877C22×C29—41no—
878C22×C29—41no—
879C22×C29—41no—
880C22×C29—41no—
881C22×C29—41no—
882C22×C29—41no—
883C22×C29—41no—
884C22×C29—41no—
885C22×C29—88no—
886C22×C29C23×D411yescharacteristic
887C22×C29C2×H(5,𝔽2)11yescharacteristic
888C22×C29C2×H(5,𝔽2)11yescharacteristic
889C22×C29C2×H(5,𝔽2)11yescharacteristic
890C22×C29#58511yescharacteristic
891C22×C29#58511yescharacteristic
892C22×C29#58511yescharacteristic
893C4×C29—22no—
894C4×C29—22no—
895C4×C29—22no—
896C4×C29—22no—
897C4×C29—22no—
898C4×C29—22no—
899C4×C29—22no—
900C4×C29—22no—
901C4×C29—41no—
902C4×C29—41no—
903C4×C29—41no—
904C4×C29—41no—
905C4×C29—41no—
906C4×C29—41no—
907C4×C29—41no—
908C4×C29—41no—
909C4×C29—41no—
910C4×C29—41no—
911C4×C29—41no—
912C4×C29—41no—
913C4×C29—41no—
914C4×C29—41no—
915C4×C29—41no—
916#540—28no—
917#538—28no—
918C2×#127C22×C2911yescharacteristic
919C2×#127C22×C2911yescharacteristic
920C2×#126C22×C2911yescharacteristic
921C2×#126C22×C2911yescharacteristic
922C2×#125C22×C2911yescharacteristic, complemented
923C2×#124C22×C2911yescharacteristic
924C2×#124C22×C2911yescharacteristic
925C2×#123C22×C2911yescharacteristic
926C2×#123C22×C2911yescharacteristic
927C2×#123C22×C2911yescharacteristic
928C2×#123C22×C2911yescharacteristic
929C2×#123C22×C2911yescharacteristic
930C2×#123C22×C2911yescharacteristic
931C2×#123C22×C2911yescharacteristic, complemented
932C2×#123C22×C2911yescharacteristic, complemented
933C2×C22⋊Q8C22×C2911yescharacteristic
934C2×C22⋊Q8C22×C2911yescharacteristic, complemented
935C2×C22⋊Q8C22×C2911yescharacteristic, complemented
936C2×#121C22×C2911yescharacteristic
937C2×#121C22×C2911yescharacteristic
938C2×#121C22×C2911yescharacteristic
939C2×#121C22×C2911yescharacteristic
940C2×#121C22×C2911yescharacteristic
941C2×#121C22×C2911yescharacteristic
942C2×#121C22×C2911yescharacteristic
943C2×#121C22×C2911yescharacteristic
944C2×#121C22×C2911yescharacteristic
945C2×#121C22×C2911yescharacteristic
946C2×#121C22×C2911yescharacteristic
947C2×#121C22×C2911yescharacteristic, complemented
948C2×#121C22×C2911yescharacteristic, complemented
949C2×#121C22×C2911yescharacteristic, complemented
950C2×#121C22×C2911yescharacteristic, complemented
951C2×#121C22×C2911yescharacteristic, complemented
952C2×#121C22×C2911yescharacteristic, complemented
953C2×#120C22×C2911yescharacteristic
954C2×#120C22×C2911yescharacteristic
955C2×#120C22×C2911yescharacteristic
956C2×#120C22×C2911yescharacteristic
957C2×#120C22×C2911yescharacteristic
958C2×C4×D4C22×C2911yescharacteristic
959C2×C4×D4C22×C2911yescharacteristic
960C2×C4×D4C22×C2911yescharacteristic, complemented
961C2×#117C22×C2911yescharacteristic
962C2×#117C22×C2911yescharacteristic, complemented
963C22×C22⋊C4C22×C2911yescharacteristic
964C22×C42C22×C2911yescharacteristic, complemented
965#399C22×C2911yescharacteristic
966#399C22×C2911yescharacteristic
967#399C22×C2911yescharacteristic
968#399C22×C2911yescharacteristic, complemented
969#398C22×C2911yescharacteristic, complemented
970#398C22×C2911yescharacteristic, complemented
971#398C22×C2911yescharacteristic, complemented
972#398C22×C2911yescharacteristic, complemented
973#397C22×C2911yescharacteristic
974#397C22×C2911yescharacteristic
975#397C22×C2911yescharacteristic
976#397C22×C2911yescharacteristic, complemented
977#396C22×C2911yescharacteristic
978#396C22×C2911yescharacteristic
979#396C22×C2911yescharacteristic
980#396C22×C2911yescharacteristic, complemented
981#395C22×C2911yescharacteristic, complemented
982#394C22×C2911yescharacteristic
983#394C22×C2911yescharacteristic
984#394C22×C2911yescharacteristic
985#394C22×C2911yescharacteristic
986#394C22×C2911yescharacteristic
987#394C22×C2911yescharacteristic
988#394C22×C2911yescharacteristic
989#394C22×C2911yescharacteristic
990#394C22×C2911yescharacteristic
991#394C22×C2911yescharacteristic
992#394C22×C2911yescharacteristic, complemented
993#394C22×C2911yescharacteristic, complemented
994#394C22×C2911yescharacteristic, complemented
995#394C22×C2911yescharacteristic, complemented
996#394C22×C2911yescharacteristic, complemented
997#393C22×C2911yescharacteristic, complemented
998#392C22×C2911yescharacteristic
999#392C22×C2911yescharacteristic
1000#392C22×C2911yescharacteristic
1001#392C22×C2911yescharacteristic
1002#392C22×C2911yescharacteristic
1003#392C22×C2911yescharacteristic
1004#392C22×C2911yescharacteristic
1005#392C22×C2911yescharacteristic
1006#392C22×C2911yescharacteristic
1007#392C22×C2911yescharacteristic
1008#392C22×C2911yescharacteristic
1009#392C22×C2911yescharacteristic
1010#392C22×C2911yescharacteristic
1011#392C22×C2911yescharacteristic, complemented
1012#392C22×C2911yescharacteristic, complemented
1013#390C22×C2911yescharacteristic
1014#390C22×C2911yescharacteristic
1015#390C22×C2911yescharacteristic
1016#390C22×C2911yescharacteristic
1017#390C22×C2911yescharacteristic
1018#390C22×C2911yescharacteristic
1019#390C22×C2911yescharacteristic
1020#390C22×C2911yescharacteristic
1021#390C22×C2911yescharacteristic, complemented
1022#390C22×C2911yescharacteristic, complemented
1023#390C22×C2911yescharacteristic, complemented
1024#390C22×C2911yescharacteristic, complemented
1025#390C22×C2911yescharacteristic, complemented
1026#389C22×C2911yescharacteristic, complemented
1027#389C22×C2911yescharacteristic, complemented
1028#389C22×C2911yescharacteristic, complemented
1029#388C22×C2911yescharacteristic
1030#388C22×C2911yescharacteristic
1031#388C22×C2911yescharacteristic
1032#388C22×C2911yescharacteristic
1033#388C22×C2911yescharacteristic
1034#388C22×C2911yescharacteristic
1035#388C22×C2911yescharacteristic
1036#388C22×C2911yescharacteristic, complemented
1037#388C22×C2911yescharacteristic, complemented
1038#388C22×C2911yescharacteristic, complemented
1039#388C22×C2911yescharacteristic, complemented
1040#388C22×C2911yescharacteristic, complemented
1041#388C22×C2911yescharacteristic, complemented
1042#388C22×C2911yescharacteristic, complemented
1043#387C22×C2911yescharacteristic, complemented
1044#387C22×C2911yescharacteristic, complemented
1045#387C22×C2911yescharacteristic, complemented
1046#387C22×C2911yescharacteristic, complemented
1047#386C22×C2911yescharacteristic
1048#386C22×C2911yescharacteristic
1049#386C22×C2911yescharacteristic
1050#386C22×C2911yescharacteristic
1051#386C22×C2911yescharacteristic
1052#386C22×C2911yescharacteristic
1053#386C22×C2911yescharacteristic
1054#386C22×C2911yescharacteristic
1055#386C22×C2911yescharacteristic, complemented
1056#386C22×C2911yescharacteristic, complemented
1057#386C22×C2911yescharacteristic, complemented
1058#385C22×C2911yescharacteristic
1059#385C22×C2911yescharacteristic, complemented
1060#385C22×C2911yescharacteristic, complemented
1061#385C22×C2911yescharacteristic, complemented
1062#385C22×C2911yescharacteristic, complemented
1063#385C22×C2911yescharacteristic, complemented
1064#385C22×C2911yescharacteristic, complemented
1065#384C22×C2911yescharacteristic, complemented
1066#380C22×C2911yescharacteristic, complemented
1067#380C22×C2911yescharacteristic, complemented
1068#379C22×C2911yescharacteristic
1069C4×C4⋊C4C22×C2911yescharacteristic, complemented
1070C4×C22⋊C4C22×C2911yescharacteristic
1071C4×C22⋊C4C22×C2911yescharacteristic, complemented
1072#376C22×C2911yescharacteristic, complemented
1073C2×C29—42no—
1074C2×C29—42no—
1075C2×C29—81no—
1076C2×C29—81no—
1077C2×C29—81no—
1078C2×C29—81no—
1079C2×C29—81no—
1080C2×C29—81no—
1081C2×C29#344911yescharacteristic
1082C2×C29#349611yescharacteristic
1083C2×C29#349811yescharacteristic
1084C2×C29#353411yescharacteristic
1085C2×C29#354211yescharacteristic
1086C2×C29#355111yescharacteristic
1087C2×C29#356211yescharacteristic
1088C25C23×C2911yescharacteristic
1089C22×Q8C23×C2911yescharacteristic
1090C22×D4C23×C2911yescharacteristic
1091C22×D4C23×C2911yescharacteristic
1092C22×D4C23×C2911yescharacteristic
1093C22×D4C23×C2911yescharacteristic
1094C22×D4C23×C2911yescharacteristic
1095C22×D4C23×C2911yescharacteristic
1096C22×D4C23×C2911yescharacteristic
1097C22×D4C23×C2911yescharacteristic
1098C22×D4C23×C2911yescharacteristic
1099C22×D4C23×C2911yescharacteristic
1100C22×D4C23×C2911yescharacteristic
1101C22×D4C23×C2911yescharacteristic
1102C22×D4C23×C2911yescharacteristic
1103C22×D4C23×C2911yescharacteristic
1104C22×D4C23×C2911yescharacteristic
1105C22×D4C23×C2911yescharacteristic
1106C22×D4C23×C2911yescharacteristic
1107C22×D4C23×C2911yescharacteristic
1108C22×D4C23×C2911yescharacteristic
1109C22×D4C23×C2911yescharacteristic
1110C22×D4C23×C2911yescharacteristic
1111C22×D4C23×C2911yescharacteristic
1112C22×D4C23×C2911yescharacteristic
1113C22×D4C23×C2911yescharacteristic
1114C22×D4C23×C2911yescharacteristic
1115C23×C4C23×C2911yescharacteristic
1116C23×C4C23×C2911yescharacteristic
1117C23×C4C23×C2911yescharacteristic
1118C23×C4C23×C2911yescharacteristic
1119C23×C4C23×C2911yescharacteristic
1120C23×C4C23×C2911yescharacteristic
1121C23×C4C23×C2911yescharacteristic
1122C23×C4C23×C2911yescharacteristic
1123C23×C4C23×C2911yescharacteristic
1124#127—24no—
1125#127—42no—
1126#126—24no—
1127#126—24no—
1128#125—24no—
1129#124—24no—
1130#124—24no—
1131#123—24no—
1132#123—24no—
1133#123—24no—
1134#123—24no—
1135#123—24no—
1136#123—24no—
1137#123—42no—
1138#123—42no—
1139C22⋊Q8—24no—
1140C22⋊Q8—42no—
1141C22⋊Q8—42no—
1142#121—24no—
1143#121—24no—
1144#121—24no—
1145#121—24no—
1146#121—24no—
1147#121—24no—
1148#121—24no—
1149#121—24no—
1150#121—24no—
1151#121—42no—
1152#121—42no—
1153#121—42no—
1154#121—42no—
1155#121—42no—
1156#121—42no—
1157#121—42no—
1158#121—42no—
1159#120—24no—
1160#120—24no—
1161#120—42no—
1162#120—42no—
1163#120—42no—
1164C4×D4—24no—
1165C4×D4—24no—
1166C4×D4D4×C2918yescomplemented
1167#117—24no—
1168#117—42no—
1169C2×C4⋊C4C23×C2911yescharacteristic
1170C2×C4⋊C4C23×C2911yescharacteristic
1171C2×C4⋊C4C23×C2911yescharacteristic
1172C2×C4⋊C4C23×C2911yescharacteristic
1173C2×C4⋊C4C23×C2911yescharacteristic
1174C2×C4⋊C4C23×C2911yescharacteristic
1175C2×C4⋊C4C23×C2911yescharacteristic
1176C2×C4⋊C4C23×C2911yescharacteristic
1177C2×C4⋊C4C23×C2911yescharacteristic
1178C2×C4⋊C4C23×C2911yescharacteristic
1179C2×C4⋊C4C23×C2911yescharacteristic
1180C2×C4⋊C4C23×C2911yescharacteristic
1181C2×C4⋊C4C23×C2911yescharacteristic
1182C2×C4⋊C4C23×C2911yescharacteristic
1183C2×C4⋊C4C23×C2911yescharacteristic
1184C2×C4⋊C4C23×C2911yescharacteristic
1185C2×C4⋊C4C23×C2911yescharacteristic
1186C2×C4⋊C4C23×C2911yescharacteristic
1187C2×C4⋊C4C23×C2911yescharacteristic
1188C2×C4⋊C4C23×C2911yescharacteristic
1189C2×C4⋊C4C23×C2911yescharacteristic
1190C2×C4⋊C4C23×C2911yescharacteristic
1191C2×C4⋊C4C23×C2911yescharacteristic
1192C2×C4⋊C4C23×C2911yescharacteristic
1193C2×C4⋊C4C23×C2911yescharacteristic
1194C2×C4⋊C4C23×C2911yescharacteristic
1195C2×C4⋊C4C23×C2911yescharacteristic
1196C2×C4⋊C4C23×C2911yescharacteristic
1197C2×C22⋊C4—24no—
1198C2×C22⋊C4C23×C2911yescharacteristic
1199C2×C22⋊C4C23×C2911yescharacteristic
1200C2×C22⋊C4C23×C2911yescharacteristic
1201C2×C22⋊C4C23×C2911yescharacteristic
1202C2×C22⋊C4C23×C2911yescharacteristic
1203C2×C22⋊C4C23×C2911yescharacteristic
1204C2×C22⋊C4C23×C2911yescharacteristic
1205C2×C22⋊C4C23×C2911yescharacteristic
1206C2×C22⋊C4C23×C2911yescharacteristic
1207C2×C22⋊C4C23×C2911yescharacteristic
1208C2×C22⋊C4C23×C2911yescharacteristic
1209C2×C22⋊C4C23×C2911yescharacteristic
1210C2×C22⋊C4C23×C2911yescharacteristic
1211C2×C22⋊C4C23×C2911yescharacteristic
1212C2×C22⋊C4C23×C2911yescharacteristic
1213C2×C22⋊C4C23×C2911yescharacteristic
1214C2×C22⋊C4C23×C2911yescharacteristic
1215C2×C22⋊C4C23×C2911yescharacteristic
1216C2×C22⋊C4C23×C2911yescharacteristic
1217C2×C22⋊C4C23×C2911yescharacteristic
1218C2×C22⋊C4C23×C2911yescharacteristic
1219C2×C22⋊C4C23×C2911yescharacteristic
1220C2×C22⋊C4C23×C2911yescharacteristic
1221C2×C22⋊C4C23×C2911yescharacteristic
1222C2×C22⋊C4C23×C2911yescharacteristic
1223C2×C22⋊C4C23×C2911yescharacteristic
1224C2×C22⋊C4C23×C2911yescharacteristic
1225C2×C22⋊C4C23×C2911yescharacteristic
1226C2×C22⋊C4C23×C2911yescharacteristic
1227C2×C22⋊C4C23×C2911yescharacteristic
1228C2×C22⋊C4C23×C2911yescharacteristic
1229C2×C22⋊C4C23×C2911yescharacteristic
1230C2×C22⋊C4C23×C2911yescharacteristic
1231C2×C22⋊C4C23×C2911yescharacteristic
1232C2×C22⋊C4C23×C2911yescharacteristic
1233C2×C22⋊C4C23×C2911yescharacteristic
1234C2×C22⋊C4C23×C2911yescharacteristic
1235C2×C22⋊C4C23×C2911yescharacteristic
1236C2×C22⋊C4C23×C2911yescharacteristic
1237C2×C22⋊C4C23×C2911yescharacteristic
1238C2×C22⋊C4C23×C2911yescharacteristic
1239C2×C22⋊C4C23×C2911yescharacteristic
1240C2×C22⋊C4C23×C2911yescharacteristic
1241C2×C22⋊C4C23×C2911yescharacteristic
1242C2×C22⋊C4C23×C2911yescharacteristic
1243C2×C22⋊C4C23×C2911yescharacteristic
1244C2×C22⋊C4C23×C2911yescharacteristic
1245C2×C22⋊C4C23×C2911yescharacteristic
1246C2×C22⋊C4C23×C2911yescharacteristic
1247C2×C22⋊C4C23×C2911yescharacteristic
1248C2×C22⋊C4C23×C2911yescharacteristic
1249C2×C22⋊C4C23×C2911yescharacteristic
1250C2×C22⋊C4C23×C2911yescharacteristic
1251C2×C22⋊C4C23×C2911yescharacteristic
1252C2×C22⋊C4C23×C2911yescharacteristic
1253C2×C22⋊C4C23×C2911yescharacteristic
1254C2×C22⋊C4C23×C2911yescharacteristic
1255C2×C22⋊C4C23×C2911yescharacteristic
1256C2×C42—42no—
1257C2×C42C23×C2911yescharacteristic
1258C2×C42C23×C2911yescharacteristic
1259C2×C42C23×C2911yescharacteristic
1260C2×C42C23×C2911yescharacteristic
1261C2×C42C23×C2911yescharacteristic
1262C2×C42C23×C2911yescharacteristic
1263C2×C42C23×C2911yescharacteristic
1264C2×C42C23×C2911yescharacteristic
1265C2×C42C23×C2911yescharacteristic
1266#95C23×C2911yescharacteristic
1267#95C23×C2911yescharacteristic
1268#95C23×C2911yescharacteristic
1269#95C23×C2911yescharacteristic
1270#95C23×C2911yescharacteristic
1271#95C23×C2911yescharacteristic
1272#95C23×C2911yescharacteristic
1273#95C23×C2911yescharacteristic
1274#95C23×C2911yescharacteristic
1275#95C23×C2911yescharacteristic
1276#95C23×C2911yescharacteristic
1277#95C23×C2911yescharacteristic
1278#95C23×C2911yescharacteristic
1279#95C23×C2911yescharacteristic
1280#95C23×C2911yescharacteristic
1281#95C23×C2911yescharacteristic
1282#95C23×C2911yescharacteristic
1283#95C23×C2911yescharacteristic
1284#95C23×C2911yescharacteristic
1285#95C23×C2911yescharacteristic
1286#95C23×C2911yescharacteristic
1287#95C23×C2911yescharacteristic
1288#95C23×C2911yescharacteristic
1289#95C23×C2911yescharacteristic
1290C29#3674411yescharacteristic, direct product factor, Sylow
1291C24—22no—
1292C24—41no—
1293C24—41no—
1294C24—41no—
1295C24—41no—
1296C24—41no—
1297C24—41no—
1298C24C24×C2911yescharacteristic
1299C24C24×C2911yescharacteristic
1300C24C24×C2911yescharacteristic
1301C24C24×C2911yescharacteristic
1302C24C24×C2911yescharacteristic
1303C24C24×C2911yescharacteristic
1304C24C24×C2911yescharacteristic
1305C24C24×C2911yescharacteristic
1306C2×Q8—22no—
1307C2×Q8—41no—
1308C2×Q8—41no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4C2×D4×C2914yes—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4C2×D4×C2914yes—
1410C22×C4C2×D4×C2914yes—
1411C22×C4C24×C2911yescharacteristic
1412C22×C4C24×C2911yescharacteristic
1413C22×C4C24×C2911yescharacteristic
1414C22×C4C24×C2911yescharacteristic
1415C22×C4C24×C2911yescharacteristic
1416C22×C4C24×C2911yescharacteristic
1417C22×C4C24×C2911yescharacteristic
1418C22×C4C24×C2911yescharacteristic
1419C22×C4C24×C2911yescharacteristic
1420C22×C4C24×C2911yescharacteristic
1421C22×C4C24×C2911yescharacteristic
1422C22×C4C24×C2911yescharacteristic
1423C22×C4C24×C2911yescharacteristic
1424C22×C4C24×C2911yescharacteristic
1425C22×C4C24×C2911yescharacteristic
1426C22×C4C24×C2911yescharacteristic
1427C22×C4C24×C2911yescharacteristic
1428C22×C4C24×C2911yescharacteristic
1429C22×C4C24×C2911yescharacteristic
1430C22×C4C24×C2911yescharacteristic
1431C22×C4C24×C2911yescharacteristic
1432C22×C4C24×C2911yescharacteristic
1433C22×C4C24×C2911yescharacteristic
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—41no—
1456C4⋊C4—41no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—41no—
1460C4⋊C4—41no—
1461C4⋊C4C2×D4×C2914yes—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—22no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—41no—
1494C22⋊C4—41no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4C2×D4×C2914yes—
1519C22⋊C4C2×D4×C2914yes—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—41no—
1525C42—41no—
1526C42—41no—
1527C42—41no—
1528C42C2×D4×C2914yes—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—44no—
1584C23—82no—
1585C23—82no—
1586C23—82no—
1587C23—82no—
1588C23—82no—
1589C23—82no—
1590C23C22×D4×C2912yes—
1591C23C22×D4×C2912yes—
1592C23C25×C2911yescharacteristic
1593Q8—82no—
1594D4—44no—
1595D4—44no—
1596D4—44no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—82no—
1601D4—82no—
1602D4—82no—
1603D4—82no—
1604D4—82no—
1605D4—82no—
1606D4—82no—
1607D4—82no—
1608D4—82no—
1609D4—82no—
1610D4—82no—
1611D4—82no—
1612D4—82no—
1613D4—82no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—44no—
1681C2×C4—44no—
1682C2×C4—44no—
1683C2×C4—44no—
1684C2×C4—44no—
1685C2×C4—82no—
1686C2×C4—82no—
1687C2×C4—82no—
1688C2×C4—82no—
1689C2×C4C22×D4×C2912yes—
1690C2×C4C22×D4×C2912yes—
1691C2×C4C22×D4×C2912yes—
1692C2×C4C22×D4×C2912yes—
1693C2×C4C22×D4×C2912yes—
1694C2×C4C29×H(5,𝔽2)12yes—
1695C2×C4C29×H(5,𝔽2)12yes—
1696C2×C4C29×H(5,𝔽2)12yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—88no—
1754C22C23×D4×C2911yescharacteristic
1755C22C2×C29×H(5,𝔽2)11yescharacteristic
1756C22C2×C29×H(5,𝔽2)11yescharacteristic
1757C22C2×C29×H(5,𝔽2)11yescharacteristic
1758C22C29×#58511yescharacteristic
1759C22C29×#58511yescharacteristic
1760C22C29×#58511yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—22no—
1767C4—22no—
1768C4—22no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C2—42no—
1785C2—42no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—81no—
1790C2—81no—
1791C2—81no—
1792C2C29×#344911yescharacteristic
1793C2C29×#349611yescharacteristic
1794C2C29×#349811yescharacteristic
1795C2C29×#353411yescharacteristic
1796C2C29×#354211yescharacteristic
1797C2C29×#355111yescharacteristic
1798C2C29×#356211yescharacteristic
subgroupG/H
center, socleC23×C29C25
commutator, Frattini, cosocleC23C25×C29
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C29×#540C2semidirect
2. C2×C29×#538C2semidirect
3. C29×#2856C2semidirect
4. C29×#2854C2semidirect
5. C29×#2721C2semidirect
6. C29×#2714C2semidirect
7. C29×#2694C2semidirect
8. C29×#2681C2semidirect
9. C29×#2680C2semidirect
10. C29×#2678C2semidirect
11. C29×#2676C2semidirect
12. C29×#2675C2semidirect
13. C29×#2673C2semidirect
14. C29×#2673C2semidirect
15. C29×#2672C2semidirect
16. C29×#2671C2semidirect
17. C29×#2671C2semidirect
18. C29×#2669C2semidirect
19. C29×#2669C2semidirect
20. C29×#2668C2semidirect
21. C29×#2661C2semidirect
22. C29×#2661C2semidirect
23. C29×#2610C2semidirect
24. C29×#2603C2semidirect
25. C29×#2602C2semidirect
26. C29×#2601C2semidirect
27. C29×#2540C2semidirect
28. C29×#2539C2semidirect
29. C29×#2414C2semidirect
30. C29×#2411C2semidirect
31. C29×#2290C2semidirect
38. C2×C29×#125C22semidirect
47. C2×C29×#123C22semidirect
48. C2×C29×#123C22semidirect
50. C2×C29×C22⋊Q8C22semidirect
51. C2×C29×C22⋊Q8C22semidirect
63. C2×C29×#121C22semidirect
64. C2×C29×#121C22semidirect
65. C2×C29×#121C22semidirect
66. C2×C29×#121C22semidirect
67. C2×C29×#121C22semidirect
68. C2×C29×#121C22semidirect
76. C2×C4×D4×C29C22semidirect
78. C2×C29×#117C22semidirect
80. C22×C42×C29C22semidirect
84. C29×#399C22semidirect
85. C29×#398C22semidirect
86. C29×#398C22semidirect
87. C29×#398C22semidirect
88. C29×#398C22semidirect
92. C29×#397C22semidirect
96. C29×#396C22semidirect
97. C29×#395C22semidirect
108. C29×#394C22semidirect
109. C29×#394C22semidirect
110. C29×#394C22semidirect
111. C29×#394C22semidirect
112. C29×#394C22semidirect
113. C29×#393C22semidirect
127. C29×#392C22semidirect
128. C29×#392C22semidirect
137. C29×#390C22semidirect
138. C29×#390C22semidirect
139. C29×#390C22semidirect
140. C29×#390C22semidirect
141. C29×#390C22semidirect
142. C29×#389C22semidirect
143. C29×#389C22semidirect
144. C29×#389C22semidirect
152. C29×#388C22semidirect
153. C29×#388C22semidirect
154. C29×#388C22semidirect
155. C29×#388C22semidirect
156. C29×#388C22semidirect
157. C29×#388C22semidirect
158. C29×#388C22semidirect
159. C29×#387C22semidirect
160. C29×#387C22semidirect
161. C29×#387C22semidirect
162. C29×#387C22semidirect
171. C29×#386C22semidirect
172. C29×#386C22semidirect
173. C29×#386C22semidirect
175. C29×#385C22semidirect
176. C29×#385C22semidirect
177. C29×#385C22semidirect
178. C29×#385C22semidirect
179. C29×#385C22semidirect
180. C29×#385C22semidirect
181. C29×#384C22semidirect
182. C29×#380C22semidirect
183. C29×#380C22semidirect
185. C4×C4⋊C4×C29C22semidirect
187. C4×C22⋊C4×C29C22semidirect
188. C29×#376C22semidirect
267. C4×D4×C29D4semidirect
629. #36744C29direct (N × H)
798. C2×#540C2×C29semidirect
799. C2×#538C2×C29semidirect
800. #2856C2×C29semidirect
801. #2854C2×C29semidirect
802. #2721C2×C29semidirect
803. #2714C2×C29semidirect
804. #2694C2×C29semidirect
805. #2681C2×C29semidirect
806. #2680C2×C29semidirect
807. #2678C2×C29semidirect
808. #2676C2×C29semidirect
809. #2675C2×C29semidirect
810. #2673C2×C29semidirect
811. #2673C2×C29semidirect
812. #2672C2×C29semidirect
813. #2671C2×C29semidirect
814. #2671C2×C29semidirect
815. #2669C2×C29semidirect
816. #2669C2×C29semidirect
817. #2668C2×C29semidirect
818. #2661C2×C29semidirect
819. #2661C2×C29semidirect
820. #2610C2×C29semidirect
821. #2603C2×C29semidirect
822. #2602C2×C29semidirect
823. #2601C2×C29semidirect
824. #2540C2×C29semidirect
825. #2539C2×C29semidirect
826. #2414C2×C29semidirect
827. #2411C2×C29semidirect
828. #2290C2×C29semidirect
922. C2×#125C22×C29semidirect
931. C2×#123C22×C29semidirect
932. C2×#123C22×C29semidirect
934. C2×C22⋊Q8C22×C29semidirect
935. C2×C22⋊Q8C22×C29semidirect
947. C2×#121C22×C29semidirect
948. C2×#121C22×C29semidirect
949. C2×#121C22×C29semidirect
950. C2×#121C22×C29semidirect
951. C2×#121C22×C29semidirect
952. C2×#121C22×C29semidirect
960. C2×C4×D4C22×C29semidirect
962. C2×#117C22×C29semidirect
964. C22×C42C22×C29semidirect
968. #399C22×C29semidirect
969. #398C22×C29semidirect
970. #398C22×C29semidirect
971. #398C22×C29semidirect
972. #398C22×C29semidirect
976. #397C22×C29semidirect
980. #396C22×C29semidirect
981. #395C22×C29semidirect
992. #394C22×C29semidirect
993. #394C22×C29semidirect
994. #394C22×C29semidirect
995. #394C22×C29semidirect
996. #394C22×C29semidirect
997. #393C22×C29semidirect
1011. #392C22×C29semidirect
1012. #392C22×C29semidirect
1021. #390C22×C29semidirect
1022. #390C22×C29semidirect
1023. #390C22×C29semidirect
1024. #390C22×C29semidirect
1025. #390C22×C29semidirect
1026. #389C22×C29semidirect
1027. #389C22×C29semidirect
1028. #389C22×C29semidirect
1036. #388C22×C29semidirect
1037. #388C22×C29semidirect
1038. #388C22×C29semidirect
1039. #388C22×C29semidirect
1040. #388C22×C29semidirect
1041. #388C22×C29semidirect
1042. #388C22×C29semidirect
1043. #387C22×C29semidirect
1044. #387C22×C29semidirect
1045. #387C22×C29semidirect
1046. #387C22×C29semidirect
1055. #386C22×C29semidirect
1056. #386C22×C29semidirect
1057. #386C22×C29semidirect
1059. #385C22×C29semidirect
1060. #385C22×C29semidirect
1061. #385C22×C29semidirect
1062. #385C22×C29semidirect
1063. #385C22×C29semidirect
1064. #385C22×C29semidirect
1065. #384C22×C29semidirect
1066. #380C22×C29semidirect
1067. #380C22×C29semidirect
1069. C4×C4⋊C4C22×C29semidirect
1071. C4×C22⋊C4C22×C29semidirect
1072. #376C22×C29semidirect
1166. C4×D4D4×C29semidirect
1290. C29#36744direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C29×#5402
C2×C29×#5382
C29×#28562
C29×#28542
C29×#27212
C29×#27142
C29×#26942
C29×#26812
C29×#26802
C29×#26782
C29×#26762
C29×#26752
C29×#26732
C29×#26722
C29×#26712
C29×#26692
C29×#26682
C29×#26612
C29×#26102
C29×#26032
C29×#26022
C29×#26012
C29×#25402
C29×#25392
C29×#24142
C29×#24112
C29×#22902
#3674429