Finite Group Databasebeta

← C29×#36776 #20331676

Subgroups — C29×#36776 #20331676

Order 7424.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#2849C211yesmaximal, characteristic, complemented
2C29×#2847C211yesmaximal, characteristic, complemented
3C29×#2778C211yesmaximal, characteristic, complemented
4C29×#2778C211yesmaximal, characteristic, complemented
5C29×#2760C211yesmaximal, characteristic, complemented
6C29×#2750C211yesmaximal, characteristic, complemented
7C29×#2749C211yesmaximal, characteristic, complemented
8C29×#2749C211yesmaximal, characteristic, complemented
9C29×#2743C211yesmaximal, characteristic, complemented
10C29×#2703C211yesmaximal, characteristic, complemented
11C29×#2697C211yesmaximal, characteristic, complemented
12C29×#2696C211yesmaximal, characteristic, complemented
13C29×#2688C211yesmaximal, characteristic, complemented
14C29×#2688C211yesmaximal, characteristic, complemented
15C29×#2684C211yesmaximal, characteristic, complemented
16C29×#2678C211yesmaximal, characteristic, complemented
17C29×#2676C211yesmaximal, characteristic, complemented
18C29×#2668C211yesmaximal, characteristic, complemented
19C29×#2643C211yesmaximal, characteristic, complemented
20C29×#2639C211yesmaximal, characteristic, complemented
21C29×#2510C211yesmaximal, characteristic, complemented
22C29×#2472C211yesmaximal, characteristic, complemented
23C29×#2444C211yesmaximal, characteristic, complemented
24C29×#2437C211yesmaximal, characteristic, complemented
25C29×#2424C211yesmaximal, characteristic, complemented
26C29×#2410C211yesmaximal, characteristic, complemented
27C29×#2410C211yesmaximal, characteristic, complemented
28C29×#2403C211yesmaximal, characteristic, complemented
29C29×#2321C211yesmaximal, characteristic, complemented
30C29×#2308C211yesmaximal, characteristic, complemented
31C2×C29×#386C211yesmaximal, characteristic, complemented
32C23×D4×C29C2211yescharacteristic
33C23×D4×C29C2211yescharacteristic
34C24×C4×C29C2211yescharacteristic, complemented
35C2×C29×#124C2211yescharacteristic, complemented
36C2×C29×#123C2211yescharacteristic, complemented
37C2×C29×#123C2211yescharacteristic, complemented
38C2×C29×C22⋊Q8C2211yescharacteristic, complemented
39C2×C29×C22⋊Q8C2211yescharacteristic, complemented
40C2×C29×#121C2211yescharacteristic
41C2×C29×#121C2211yescharacteristic
42C2×C29×#121C2211yescharacteristic, complemented
43C2×C29×#121C2211yescharacteristic, complemented
44C2×C29×#121C2211yescharacteristic, complemented
45C2×C29×#121C2211yescharacteristic, complemented
46C2×C29×#121C2211yescharacteristic, complemented
47C2×C29×#120C2211yescharacteristic
48C2×C29×#120C2211yescharacteristic
49C2×C29×#120C2211yescharacteristic
50C2×C29×#120C2211yescharacteristic
51C2×C29×#120C2211yescharacteristic
52C2×C29×#120C2211yescharacteristic, complemented
53C2×C29×#120C2211yescharacteristic, complemented
54C2×C4×D4×C29C2211yescharacteristic, complemented
55C22×C22⋊C4×C29C2211yescharacteristic
56C22×C22⋊C4×C29C2211yescharacteristic
57C22×C22⋊C4×C29C2211yescharacteristic
58C22×C22⋊C4×C29C2211yescharacteristic, complemented
59C29×#401C2211yescharacteristic, complemented
60C29×#401C2211yescharacteristic, complemented
61C29×#400C2211yescharacteristic, complemented
62C29×#400C2211yescharacteristic, complemented
63C29×#400C2211yescharacteristic, complemented
64C29×#400C2211yescharacteristic, complemented
65C29×#400C2211yescharacteristic, complemented
66C29×#400C2211yescharacteristic, complemented
67C29×#400C2211yescharacteristic, complemented
68C29×#399C2211yescharacteristic, complemented
69C29×#397C2211yescharacteristic, complemented
70C29×#397C2211yescharacteristic, complemented
71C29×#397C2211yescharacteristic, complemented
72C29×#397C2211yescharacteristic, complemented
73C29×#397C2211yescharacteristic, complemented
74C29×#397C2211yescharacteristic, complemented
75C29×#397C2211yescharacteristic, complemented
76C29×#397C2211yescharacteristic, complemented
77C29×#397C2211yescharacteristic, complemented
78C29×#397C2211yescharacteristic, complemented
79C29×#396C2211yescharacteristic, complemented
80C29×#396C2211yescharacteristic, complemented
81C29×#396C2211yescharacteristic, complemented
82C29×#396C2211yescharacteristic, complemented
83C29×#394C2211yescharacteristic
84C29×#394C2211yescharacteristic
85C29×#394C2211yescharacteristic, complemented
86C29×#394C2211yescharacteristic, complemented
87C29×#394C2211yescharacteristic, complemented
88C29×#394C2211yescharacteristic, complemented
89C29×#394C2211yescharacteristic, complemented
90C29×#394C2211yescharacteristic, complemented
91C29×#394C2211yescharacteristic, complemented
92C29×#394C2211yescharacteristic, complemented
93C29×#394C2211yescharacteristic, complemented
94C29×#393C2211yescharacteristic, complemented
95C29×#393C2211yescharacteristic, complemented
96C29×#393C2211yescharacteristic, complemented
97C29×#393C2211yescharacteristic, complemented
98C29×#392C2211yescharacteristic
99C29×#392C2211yescharacteristic
100C29×#392C2211yescharacteristic
101C29×#392C2211yescharacteristic
102C29×#392C2211yescharacteristic
103C29×#392C2211yescharacteristic
104C29×#392C2211yescharacteristic, complemented
105C29×#392C2211yescharacteristic, complemented
106C29×#392C2211yescharacteristic, complemented
107C29×#390C2211yescharacteristic, complemented
108C29×#390C2211yescharacteristic, complemented
109C29×#390C2211yescharacteristic, complemented
110C29×#390C2211yescharacteristic, complemented
111C29×#388C2211yescharacteristic, complemented
112C29×#388C2211yescharacteristic, complemented
113C29×#388C2211yescharacteristic, complemented
114C29×#388C2211yescharacteristic, complemented
115C29×#388C2211yescharacteristic, complemented
116C29×#388C2211yescharacteristic, complemented
117C29×#388C2211yescharacteristic, complemented
118C29×#388C2211yescharacteristic, complemented
119C29×#388C2211yescharacteristic, complemented
120C29×#388C2211yescharacteristic, complemented
121C29×#387C2211yescharacteristic, complemented
122C29×#387C2211yescharacteristic, complemented
123C29×#386C2211yescharacteristic
124C29×#386C2211yescharacteristic
125C29×#386C2211yescharacteristic
126C29×#386C2211yescharacteristic
127C29×#386C2211yescharacteristic
128C29×#386C2211yescharacteristic
129C29×#386C2211yescharacteristic
130C29×#386C2211yescharacteristic
131C29×#386C2211yescharacteristic
132C29×#386C2211yescharacteristic
133C29×#386C2211yescharacteristic
134C29×#386C2211yescharacteristic
135C29×#386C2211yescharacteristic
136C29×#386C2211yescharacteristic
137C29×#386C2211yescharacteristic, complemented
138C29×#386C2211yescharacteristic, complemented
139C29×#386C2211yescharacteristic, complemented
140C29×#386C2211yescharacteristic, complemented
141C29×#386C2211yescharacteristic, complemented
142C29×#386C2211yescharacteristic, complemented
143C29×#386C2211yescharacteristic, complemented
144C29×#386C2211yescharacteristic, complemented
145C29×#386C2211yescharacteristic, complemented
146C29×#386C2211yescharacteristic, complemented
147C29×#386C2211yescharacteristic, complemented
148C29×#386C2211yescharacteristic, complemented
149C29×#386C2211yescharacteristic, complemented
150C29×#386C2211yescharacteristic, complemented
151C29×#386C2211yescharacteristic, complemented
152C29×#386C2211yescharacteristic, complemented
153C29×#386C2211yescharacteristic, complemented
154C29×#386C2211yescharacteristic, complemented
155C29×#386C2211yescharacteristic, complemented
156C29×#386C2211yescharacteristic, complemented
157C29×#386C2211yescharacteristic, complemented
158C29×#386C2211yescharacteristic, complemented
159C29×#386C2211yescharacteristic, complemented
160C29×#385C2211yescharacteristic, complemented
161C29×#385C2211yescharacteristic, complemented
162C29×#385C2211yescharacteristic, complemented
163C29×#385C2211yescharacteristic, complemented
164C29×#385C2211yescharacteristic, complemented
165C29×#385C2211yescharacteristic, complemented
166C29×#385C2211yescharacteristic, complemented
167C29×#385C2211yescharacteristic, complemented
168C29×#385C2211yescharacteristic, complemented
169C29×#383C2211yescharacteristic, complemented
170C29×#381C2211yescharacteristic, complemented
171C29×#381C2211yescharacteristic, complemented
172C29×#381C2211yescharacteristic, complemented
173C29×#381C2211yescharacteristic, complemented
174C29×#381C2211yescharacteristic, complemented
175C29×#380C2211yescharacteristic, complemented
176C29×#380C2211yescharacteristic, complemented
177C29×#380C2211yescharacteristic, complemented
178C29×#380C2211yescharacteristic, complemented
179C29×#379C2211yescharacteristic
180C29×#379C2211yescharacteristic, complemented
181C29×#379C2211yescharacteristic, complemented
182C29×#379C2211yescharacteristic, complemented
183C29×#379C2211yescharacteristic, complemented
184C4×C22⋊C4×C29C2211yescharacteristic, complemented
185C2×C29×#95C2211yescharacteristic, complemented
186C2×C29×#95C2211yescharacteristic, complemented
187C25×C29C2311yescharacteristic
188C25×C29C2311yescharacteristic
189C25×C29C2311yescharacteristic
190C22×Q8×C29C2311yescharacteristic
191C22×D4×C29—24no—
192C22×D4×C29—24no—
193C22×D4×C29—42no—
194C22×D4×C29—42no—
195C22×D4×C29—42no—
196C22×D4×C29—42no—
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×C29—42no—
217C23×C4×C29—42no—
218C23×C4×C29—42no—
219C23×C4×C29C2311yescharacteristic
220C23×C4×C29C2311yescharacteristic
221C23×C4×C29C2311yescharacteristic
222C23×C4×C29C2311yescharacteristic
223C23×C4×C29C2311yescharacteristic
224C23×C4×C29C2311yescharacteristic
225C23×C4×C29C2311yescharacteristic
226C23×C4×C29C2311yescharacteristic
227C23×C4×C29C2311yescharacteristic
228C23×C4×C29C2311yescharacteristic
229C23×C4×C29C2311yescharacteristic
230C23×C4×C29C2311yescharacteristic
231C23×C4×C29C2311yescharacteristic
232C29×#124—42no—
233C29×#123—42no—
234C29×#123—42no—
235C29×C22⋊Q8—42no—
236C29×C22⋊Q8—42no—
237C29×#121—42no—
238C29×#121—42no—
239C29×#121—42no—
240C29×#121—42no—
241C29×#121—42no—
242C29×#121—42no—
243C29×#121—42no—
244C29×#120—24no—
245C29×#120—42no—
246C29×#120—42no—
247C29×#120—42no—
248C29×#120—42no—
249C29×#120—42no—
250C29×#120—42no—
251C4×D4×C29—42no—
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×C4⋊C4×C29C2311yescharacteristic
259C2×C4⋊C4×C29C2311yescharacteristic
260C2×C4⋊C4×C29C2311yescharacteristic
261C2×C4⋊C4×C29C2311yescharacteristic
262C2×C4⋊C4×C29C2311yescharacteristic
263C2×C4⋊C4×C29C2311yescharacteristic
264C2×C4⋊C4×C29C2311yescharacteristic
265C2×C4⋊C4×C29C2311yescharacteristic
266C2×C4⋊C4×C29C2311yescharacteristic
267C2×C4⋊C4×C29C2311yescharacteristic
268C2×C22⋊C4×C29—42no—
269C2×C22⋊C4×C29—42no—
270C2×C22⋊C4×C29—42no—
271C2×C22⋊C4×C29—42no—
272C2×C22⋊C4×C29C2311yescharacteristic
273C2×C22⋊C4×C29C2311yescharacteristic
274C2×C22⋊C4×C29C2311yescharacteristic
275C2×C22⋊C4×C29C2311yescharacteristic
276C2×C22⋊C4×C29C2311yescharacteristic
277C2×C22⋊C4×C29C2311yescharacteristic
278C2×C22⋊C4×C29C2311yescharacteristic
279C2×C22⋊C4×C29C2311yescharacteristic
280C2×C22⋊C4×C29C2311yescharacteristic
281C2×C22⋊C4×C29C2311yescharacteristic
282C2×C22⋊C4×C29C2311yescharacteristic
283C2×C22⋊C4×C29C2311yescharacteristic
284C2×C22⋊C4×C29C2311yescharacteristic
285C2×C22⋊C4×C29C2311yescharacteristic
286C2×C22⋊C4×C29C2311yescharacteristic
287C2×C22⋊C4×C29C2311yescharacteristic
288C2×C22⋊C4×C29C2311yescharacteristic
289C2×C22⋊C4×C29C2311yescharacteristic
290C2×C22⋊C4×C29C2311yescharacteristic
291C2×C22⋊C4×C29C2311yescharacteristic
292C2×C22⋊C4×C29C2311yescharacteristic
293C2×C22⋊C4×C29C2311yescharacteristic
294C2×C22⋊C4×C29C2311yescharacteristic
295C2×C22⋊C4×C29C2311yescharacteristic
296C2×C22⋊C4×C29C2311yescharacteristic
297C2×C22⋊C4×C29C2311yescharacteristic
298C2×C22⋊C4×C29C2311yescharacteristic
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×C42×C29C2311yescharacteristic
333C2×C42×C29C2311yescharacteristic
334C2×C42×C29C2311yescharacteristic
335C29×#95C2311yescharacteristic
336C29×#95C2311yescharacteristic
337C29×#95C2311yescharacteristic
338C29×#95C2311yescharacteristic
339C29×#95C2311yescharacteristic
340C29×#95C2311yescharacteristic
341C29×#95C2311yescharacteristic
342C29×#95C2311yescharacteristic
343C29×#95C2311yescharacteristic
344C29×#95C2311yescharacteristic
345C29×#95C2311yescharacteristic
346C29×#95C2311yescharacteristic
347C29×#95C2311yescharacteristic
348C29×#95C2311yescharacteristic
349C29×#95C2311yescharacteristic
350C29×#95C2311yescharacteristic
351C29×#95C2311yescharacteristic
352C29×#95C2311yescharacteristic
353C29×#95C2311yescharacteristic
354C29×#95C2311yescharacteristic
355C29×#95C2311yescharacteristic
356C29×#95C2311yescharacteristic
357C29×#95C2311yescharacteristic
358C29×#95C2311yescharacteristic
359C29×#95C2311yescharacteristic
360C29×#95C2311yescharacteristic
361C29×#95C2311yescharacteristic
362C29×#95C2311yescharacteristic
363C29×#95C2311yescharacteristic
364C29×#95C2311yescharacteristic
365C29×#95C2311yescharacteristic
366C29×#95C2311yescharacteristic
367C29×#95C2311yescharacteristic
368C29×#95C2311yescharacteristic
369C29×#95C2311yescharacteristic
370C29×#95C2311yescharacteristic
371C29×#95C2311yescharacteristic
372C29×#95C2311yescharacteristic
373C29×#95C2311yescharacteristic
374C29×#95C2311yescharacteristic
375C24×C29—22no—
376C24×C29—22no—
377C24×C29—22no—
378C24×C29—22no—
379C24×C29—22no—
380C24×C29—22no—
381C24×C29—22no—
382C24×C29—22no—
383C24×C29—41no—
384C24×C29—41no—
385C24×C29—41no—
386C24×C29—41no—
387C24×C29—41no—
388C24×C29—41no—
389C24×C29—41no—
390C24×C29—41no—
391C24×C29—41no—
392C24×C29—41no—
393C24×C29—41no—
394C24×C29—41no—
395C24×C29#4114yes—
396C24×C29C2411yescharacteristic
397C24×C29C2411yescharacteristic
398C24×C29C2411yescharacteristic
399C24×C29C2411yescharacteristic
400C24×C29C2411yescharacteristic
401C24×C29C2411yescharacteristic
402C24×C29C2411yescharacteristic
403C24×C29C2411yescharacteristic
404C2×Q8×C29—41no—
405C2×Q8×C29—41no—
406C2×Q8×C29—41no—
407C2×D4×C29—22no—
408C2×D4×C29—22no—
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—22no—
430C2×D4×C29—22no—
431C2×D4×C29—22no—
432C2×D4×C29—22no—
433C2×D4×C29—22no—
434C2×D4×C29—22no—
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—416no—
465C2×D4×C29—416no—
466C22×C4×C29—22no—
467C22×C4×C29—22no—
468C22×C4×C29—22no—
469C22×C4×C29—22no—
470C22×C4×C29—22no—
471C22×C4×C29—22no—
472C22×C4×C29—22no—
473C22×C4×C29—22no—
474C22×C4×C29—22no—
475C22×C4×C29—22no—
476C22×C4×C29—22no—
477C22×C4×C29—41no—
478C22×C4×C29—41no—
479C22×C4×C29—41no—
480C22×C4×C29—41no—
481C22×C4×C29—41no—
482C22×C4×C29—41no—
483C22×C4×C29—41no—
484C22×C4×C29—41no—
485C22×C4×C29—41no—
486C22×C4×C29—41no—
487C22×C4×C29—41no—
488C22×C4×C29—41no—
489C22×C4×C29—41no—
490C22×C4×C29—41no—
491C22×C4×C29—41no—
492C22×C4×C29—41no—
493C22×C4×C29—41no—
494C22×C4×C29—41no—
495C22×C4×C29—41no—
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—416no—
506C22×C4×C29C2411yescharacteristic
507C22×C4×C29C2411yescharacteristic
508C22×C4×C29C2411yescharacteristic
509C22×C4×C29C2411yescharacteristic
510C22×C4×C29C2411yescharacteristic
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
529C4⋊C4×C29—22no—
530C4⋊C4×C29—22no—
531C4⋊C4×C29—41no—
532C4⋊C4×C29—41no—
533C4⋊C4×C29—41no—
534C4⋊C4×C29—41no—
535C4⋊C4×C29—41no—
536C4⋊C4×C29—41no—
537C4⋊C4×C29—41no—
538C4⋊C4×C29—41no—
539C4⋊C4×C29—41no—
540C4⋊C4×C29—41no—
541C4⋊C4×C29—41no—
542C4⋊C4×C29—41no—
543C4⋊C4×C29—41no—
544C4⋊C4×C29—41no—
545C22⋊C4×C29—22no—
546C22⋊C4×C29—22no—
547C22⋊C4×C29—22no—
548C22⋊C4×C29—22no—
549C22⋊C4×C29—22no—
550C22⋊C4×C29—22no—
551C22⋊C4×C29—22no—
552C22⋊C4×C29—22no—
553C22⋊C4×C29—22no—
554C22⋊C4×C29—22no—
555C22⋊C4×C29—22no—
556C22⋊C4×C29—22no—
557C22⋊C4×C29—22no—
558C22⋊C4×C29—22no—
559C22⋊C4×C29—41no—
560C22⋊C4×C29—41no—
561C22⋊C4×C29—41no—
562C22⋊C4×C29—41no—
563C22⋊C4×C29—41no—
564C22⋊C4×C29—41no—
565C22⋊C4×C29—41no—
566C22⋊C4×C29—41no—
567C22⋊C4×C29—41no—
568C22⋊C4×C29—41no—
569C22⋊C4×C29—41no—
570C22⋊C4×C29—41no—
571C22⋊C4×C29—41no—
572C22⋊C4×C29—41no—
573C22⋊C4×C29—41no—
574C22⋊C4×C29—41no—
575C22⋊C4×C29—41no—
576C22⋊C4×C29—41no—
577C22⋊C4×C29—41no—
578C22⋊C4×C29—41no—
579C22⋊C4×C29—41no—
580C22⋊C4×C29—41no—
581C22⋊C4×C29—41no—
582C22⋊C4×C29—41no—
583C22⋊C4×C29—41no—
584C22⋊C4×C29—41no—
585C22⋊C4×C29—41no—
586C22⋊C4×C29—41no—
587C22⋊C4×C29—41no—
588C22⋊C4×C29—41no—
589C22⋊C4×C29—41no—
590C22⋊C4×C29—41no—
591C22⋊C4×C29—41no—
592C22⋊C4×C29—41no—
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—
605C42×C29—41no—
606C42×C29—41no—
607C42×C29—41no—
608#36776C2911yesmaximal, characteristic, direct product factor, Sylow
609C23×C29—21no—
610C23×C29—21no—
611C23×C29—21no—
612C23×C29—21no—
613C23×C29—28no—
614C23×C29—21no—
615C23×C29—21no—
616C23×C29—21no—
617C23×C29—21no—
618C23×C29—21no—
619C23×C29—21no—
620C23×C29—21no—
621C23×C29—21no—
622C23×C29—21no—
623C23×C29—21no—
624C23×C29—21no—
625C23×C29—21no—
626C23×C29—21no—
627C23×C29—21no—
628C23×C29—21no—
629C23×C29—21no—
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—28no—
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—44no—
661C23×C29—44no—
662C23×C29—44no—
663C23×C29—44no—
664C23×C29—44no—
665C23×C29—44no—
666C23×C29—44no—
667C23×C29—44no—
668C23×C29—44no—
669C23×C29—82no—
670C23×C29—82no—
671C23×C29—82no—
672C23×C29—82no—
673C23×C29—82no—
674C23×C29—82no—
675C23×C29—82no—
676C23×C29—82no—
677C23×C29—82no—
678C23×C29—82no—
679C23×C29C2×#4112yes—
680C23×C29C2×#4112yes—
681C23×C29C2×#4112yes—
682C23×C29H(5,𝔽2)12yes—
683C23×C29H(5,𝔽2)12yes—
684C23×C29H(5,𝔽2)12yes—
685C23×C29H(5,𝔽2)12yes—
686C23×C29C2511yescharacteristic
687Q8×C29—82no—
688D4×C29—44no—
689D4×C29—44no—
690D4×C29—44no—
691D4×C29—44no—
692D4×C29—44no—
693D4×C29—44no—
694D4×C29—44no—
695D4×C29—44no—
696D4×C29—44no—
697D4×C29—82no—
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—
707C2×C4×C29—21no—
708C2×C4×C29—21no—
709C2×C4×C29—21no—
710C2×C4×C29—21no—
711C2×C4×C29—21no—
712C2×C4×C29—21no—
713C2×C4×C29—21no—
714C2×C4×C29—21no—
715C2×C4×C29—21no—
716C2×C4×C29—21no—
717C2×C4×C29—21no—
718C2×C4×C29—21no—
719C2×C4×C29—21no—
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—44no—
776C2×C4×C29—44no—
777C2×C4×C29—44no—
778C2×C4×C29—44no—
779C2×C4×C29—44no—
780C2×C4×C29—44no—
781C2×C4×C29—44no—
782C2×C4×C29—44no—
783C2×C4×C29—82no—
784C2×C4×C29—82no—
785C2×C4×C29—82no—
786C2×C4×C29—82no—
787C2×C4×C29—82no—
788C2×C4×C29H(5,𝔽2)12yes—
789#2849C2×C2911yescharacteristic, complemented
790#2847C2×C2911yescharacteristic, complemented
791#2778C2×C2911yescharacteristic, complemented
792#2778C2×C2911yescharacteristic, complemented
793#2760C2×C2911yescharacteristic, complemented
794#2750C2×C2911yescharacteristic, complemented
795#2749C2×C2911yescharacteristic, complemented
796#2749C2×C2911yescharacteristic, complemented
797#2743C2×C2911yescharacteristic, complemented
798#2703C2×C2911yescharacteristic, complemented
799#2697C2×C2911yescharacteristic, complemented
800#2696C2×C2911yescharacteristic, complemented
801#2688C2×C2911yescharacteristic, complemented
802#2688C2×C2911yescharacteristic, complemented
803#2684C2×C2911yescharacteristic, complemented
804#2678C2×C2911yescharacteristic, complemented
805#2676C2×C2911yescharacteristic, complemented
806#2668C2×C2911yescharacteristic, complemented
807#2643C2×C2911yescharacteristic, complemented
808#2639C2×C2911yescharacteristic, complemented
809#2510C2×C2911yescharacteristic, complemented
810#2472C2×C2911yescharacteristic, complemented
811#2444C2×C2911yescharacteristic, complemented
812#2437C2×C2911yescharacteristic, complemented
813#2424C2×C2911yescharacteristic, complemented
814#2410C2×C2911yescharacteristic, complemented
815#2410C2×C2911yescharacteristic, complemented
816#2403C2×C2911yescharacteristic, complemented
817#2321C2×C2911yescharacteristic, complemented
818#2308C2×C2911yescharacteristic, complemented
819C2×#386C2×C2911yescharacteristic, complemented
820C22×C29—22no—
821C22×C29—22no—
822C22×C29—22no—
823C22×C29—22no—
824C22×C29—22no—
825C22×C29—22no—
826C22×C29—22no—
827C22×C29—22no—
828C22×C29—22no—
829C22×C29—22no—
830C22×C29—22no—
831C22×C29—22no—
832C22×C29—22no—
833C22×C29—22no—
834C22×C29—22no—
835C22×C29—22no—
836C22×C29—22no—
837C22×C29—22no—
838C22×C29—416no—
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—88no—
877C22×C29—88no—
878C22×C29#53814yes—
879C22×C29C22×#4111yescharacteristic
880C22×C29C2×H(5,𝔽2)11yescharacteristic
881C22×C29C2×H(5,𝔽2)11yescharacteristic
882C22×C29C2×H(5,𝔽2)11yescharacteristic
883C22×C29C2×H(5,𝔽2)11yescharacteristic
884C22×C29C2×H(5,𝔽2)11yescharacteristic
885C22×C29#58511yescharacteristic
886C4×C29—22no—
887C4×C29—41no—
888C4×C29—41no—
889C4×C29—41no—
890C4×C29—41no—
891C4×C29—41no—
892C4×C29—41no—
893C4×C29—41no—
894C4×C29—41no—
895C4×C29—41no—
896C4×C29—41no—
897C4×C29—41no—
898C4×C29—41no—
899C4×C29—41no—
900C4×C29—41no—
901C4×C29—41no—
902C4×C29—41no—
903C4×C29—41no—
904C4×C29—41no—
905C4×C29—41no—
906C4×C29—41no—
907C4×C29—41no—
908C4×C29—41no—
909C23×D4C22×C2911yescharacteristic
910C23×D4C22×C2911yescharacteristic
911C24×C4C22×C2911yescharacteristic, complemented
912C2×#124C22×C2911yescharacteristic, complemented
913C2×#123C22×C2911yescharacteristic, complemented
914C2×#123C22×C2911yescharacteristic, complemented
915C2×C22⋊Q8C22×C2911yescharacteristic, complemented
916C2×C22⋊Q8C22×C2911yescharacteristic, complemented
917C2×#121C22×C2911yescharacteristic
918C2×#121C22×C2911yescharacteristic
919C2×#121C22×C2911yescharacteristic, complemented
920C2×#121C22×C2911yescharacteristic, complemented
921C2×#121C22×C2911yescharacteristic, complemented
922C2×#121C22×C2911yescharacteristic, complemented
923C2×#121C22×C2911yescharacteristic, complemented
924C2×#120C22×C2911yescharacteristic
925C2×#120C22×C2911yescharacteristic
926C2×#120C22×C2911yescharacteristic
927C2×#120C22×C2911yescharacteristic
928C2×#120C22×C2911yescharacteristic
929C2×#120C22×C2911yescharacteristic, complemented
930C2×#120C22×C2911yescharacteristic, complemented
931C2×C4×D4C22×C2911yescharacteristic, complemented
932C22×C22⋊C4C22×C2911yescharacteristic
933C22×C22⋊C4C22×C2911yescharacteristic
934C22×C22⋊C4C22×C2911yescharacteristic
935C22×C22⋊C4C22×C2911yescharacteristic, complemented
936#401C22×C2911yescharacteristic, complemented
937#401C22×C2911yescharacteristic, complemented
938#400C22×C2911yescharacteristic, complemented
939#400C22×C2911yescharacteristic, complemented
940#400C22×C2911yescharacteristic, complemented
941#400C22×C2911yescharacteristic, complemented
942#400C22×C2911yescharacteristic, complemented
943#400C22×C2911yescharacteristic, complemented
944#400C22×C2911yescharacteristic, complemented
945#399C22×C2911yescharacteristic, complemented
946#397C22×C2911yescharacteristic, complemented
947#397C22×C2911yescharacteristic, complemented
948#397C22×C2911yescharacteristic, complemented
949#397C22×C2911yescharacteristic, complemented
950#397C22×C2911yescharacteristic, complemented
951#397C22×C2911yescharacteristic, complemented
952#397C22×C2911yescharacteristic, complemented
953#397C22×C2911yescharacteristic, complemented
954#397C22×C2911yescharacteristic, complemented
955#397C22×C2911yescharacteristic, complemented
956#396C22×C2911yescharacteristic, complemented
957#396C22×C2911yescharacteristic, complemented
958#396C22×C2911yescharacteristic, complemented
959#396C22×C2911yescharacteristic, complemented
960#394C22×C2911yescharacteristic
961#394C22×C2911yescharacteristic
962#394C22×C2911yescharacteristic, complemented
963#394C22×C2911yescharacteristic, complemented
964#394C22×C2911yescharacteristic, complemented
965#394C22×C2911yescharacteristic, complemented
966#394C22×C2911yescharacteristic, complemented
967#394C22×C2911yescharacteristic, complemented
968#394C22×C2911yescharacteristic, complemented
969#394C22×C2911yescharacteristic, complemented
970#394C22×C2911yescharacteristic, complemented
971#393C22×C2911yescharacteristic, complemented
972#393C22×C2911yescharacteristic, complemented
973#393C22×C2911yescharacteristic, complemented
974#393C22×C2911yescharacteristic, complemented
975#392C22×C2911yescharacteristic
976#392C22×C2911yescharacteristic
977#392C22×C2911yescharacteristic
978#392C22×C2911yescharacteristic
979#392C22×C2911yescharacteristic
980#392C22×C2911yescharacteristic
981#392C22×C2911yescharacteristic, complemented
982#392C22×C2911yescharacteristic, complemented
983#392C22×C2911yescharacteristic, complemented
984#390C22×C2911yescharacteristic, complemented
985#390C22×C2911yescharacteristic, complemented
986#390C22×C2911yescharacteristic, complemented
987#390C22×C2911yescharacteristic, complemented
988#388C22×C2911yescharacteristic, complemented
989#388C22×C2911yescharacteristic, complemented
990#388C22×C2911yescharacteristic, complemented
991#388C22×C2911yescharacteristic, complemented
992#388C22×C2911yescharacteristic, complemented
993#388C22×C2911yescharacteristic, complemented
994#388C22×C2911yescharacteristic, complemented
995#388C22×C2911yescharacteristic, complemented
996#388C22×C2911yescharacteristic, complemented
997#388C22×C2911yescharacteristic, complemented
998#387C22×C2911yescharacteristic, complemented
999#387C22×C2911yescharacteristic, complemented
1000#386C22×C2911yescharacteristic
1001#386C22×C2911yescharacteristic
1002#386C22×C2911yescharacteristic
1003#386C22×C2911yescharacteristic
1004#386C22×C2911yescharacteristic
1005#386C22×C2911yescharacteristic
1006#386C22×C2911yescharacteristic
1007#386C22×C2911yescharacteristic
1008#386C22×C2911yescharacteristic
1009#386C22×C2911yescharacteristic
1010#386C22×C2911yescharacteristic
1011#386C22×C2911yescharacteristic
1012#386C22×C2911yescharacteristic
1013#386C22×C2911yescharacteristic
1014#386C22×C2911yescharacteristic, complemented
1015#386C22×C2911yescharacteristic, complemented
1016#386C22×C2911yescharacteristic, complemented
1017#386C22×C2911yescharacteristic, complemented
1018#386C22×C2911yescharacteristic, complemented
1019#386C22×C2911yescharacteristic, complemented
1020#386C22×C2911yescharacteristic, complemented
1021#386C22×C2911yescharacteristic, complemented
1022#386C22×C2911yescharacteristic, complemented
1023#386C22×C2911yescharacteristic, complemented
1024#386C22×C2911yescharacteristic, complemented
1025#386C22×C2911yescharacteristic, complemented
1026#386C22×C2911yescharacteristic, complemented
1027#386C22×C2911yescharacteristic, complemented
1028#386C22×C2911yescharacteristic, complemented
1029#386C22×C2911yescharacteristic, complemented
1030#386C22×C2911yescharacteristic, complemented
1031#386C22×C2911yescharacteristic, complemented
1032#386C22×C2911yescharacteristic, complemented
1033#386C22×C2911yescharacteristic, complemented
1034#386C22×C2911yescharacteristic, complemented
1035#386C22×C2911yescharacteristic, complemented
1036#386C22×C2911yescharacteristic, complemented
1037#385C22×C2911yescharacteristic, complemented
1038#385C22×C2911yescharacteristic, complemented
1039#385C22×C2911yescharacteristic, complemented
1040#385C22×C2911yescharacteristic, complemented
1041#385C22×C2911yescharacteristic, complemented
1042#385C22×C2911yescharacteristic, complemented
1043#385C22×C2911yescharacteristic, complemented
1044#385C22×C2911yescharacteristic, complemented
1045#385C22×C2911yescharacteristic, complemented
1046#383C22×C2911yescharacteristic, complemented
1047#381C22×C2911yescharacteristic, complemented
1048#381C22×C2911yescharacteristic, complemented
1049#381C22×C2911yescharacteristic, complemented
1050#381C22×C2911yescharacteristic, complemented
1051#381C22×C2911yescharacteristic, complemented
1052#380C22×C2911yescharacteristic, complemented
1053#380C22×C2911yescharacteristic, complemented
1054#380C22×C2911yescharacteristic, complemented
1055#380C22×C2911yescharacteristic, complemented
1056#379C22×C2911yescharacteristic
1057#379C22×C2911yescharacteristic, complemented
1058#379C22×C2911yescharacteristic, complemented
1059#379C22×C2911yescharacteristic, complemented
1060#379C22×C2911yescharacteristic, complemented
1061C4×C22⋊C4C22×C2911yescharacteristic, complemented
1062C2×#95C22×C2911yescharacteristic, complemented
1063C2×#95C22×C2911yescharacteristic, complemented
1064C2×C29—24no—
1065C2×C29—42no—
1066C2×C29—42no—
1067C2×C29—42no—
1068C2×C29—42no—
1069C2×C29—81no—
1070C2×C29—81no—
1071C2×C29—81no—
1072C2×C29C2×#53811yescharacteristic
1073C2×C29#349011yescharacteristic
1074C2×C29#350511yescharacteristic
1075C2×C29#353211yescharacteristic
1076C2×C29#353411yescharacteristic
1077C2×C29#353411yescharacteristic
1078C2×C29#353711yescharacteristic
1079C25C23×C2911yescharacteristic
1080C25C23×C2911yescharacteristic
1081C25C23×C2911yescharacteristic
1082C22×Q8C23×C2911yescharacteristic
1083C22×D4—24no—
1084C22×D4—24no—
1085C22×D4—42no—
1086C22×D4—42no—
1087C22×D4—42no—
1088C22×D4—42no—
1089C22×D4C23×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
1108C23×C4—42no—
1109C23×C4—42no—
1110C23×C4—42no—
1111C23×C4C23×C2911yescharacteristic
1112C23×C4C23×C2911yescharacteristic
1113C23×C4C23×C2911yescharacteristic
1114C23×C4C23×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#124—42no—
1125#123—42no—
1126#123—42no—
1127C22⋊Q8—42no—
1128C22⋊Q8—42no—
1129#121—42no—
1130#121—42no—
1131#121—42no—
1132#121—42no—
1133#121—42no—
1134#121—42no—
1135#121—42no—
1136#120—24no—
1137#120—42no—
1138#120—42no—
1139#120—42no—
1140#120—42no—
1141#120—42no—
1142#120—42no—
1143C4×D4—42no—
1144C2×C4⋊C4C23×C2911yescharacteristic
1145C2×C4⋊C4C23×C2911yescharacteristic
1146C2×C4⋊C4C23×C2911yescharacteristic
1147C2×C4⋊C4C23×C2911yescharacteristic
1148C2×C4⋊C4C23×C2911yescharacteristic
1149C2×C4⋊C4C23×C2911yescharacteristic
1150C2×C4⋊C4C23×C2911yescharacteristic
1151C2×C4⋊C4C23×C2911yescharacteristic
1152C2×C4⋊C4C23×C2911yescharacteristic
1153C2×C4⋊C4C23×C2911yescharacteristic
1154C2×C4⋊C4C23×C2911yescharacteristic
1155C2×C4⋊C4C23×C2911yescharacteristic
1156C2×C4⋊C4C23×C2911yescharacteristic
1157C2×C4⋊C4C23×C2911yescharacteristic
1158C2×C4⋊C4C23×C2911yescharacteristic
1159C2×C4⋊C4C23×C2911yescharacteristic
1160C2×C22⋊C4—42no—
1161C2×C22⋊C4—42no—
1162C2×C22⋊C4—42no—
1163C2×C22⋊C4—42no—
1164C2×C22⋊C4C23×C2911yescharacteristic
1165C2×C22⋊C4C23×C2911yescharacteristic
1166C2×C22⋊C4C23×C2911yescharacteristic
1167C2×C22⋊C4C23×C2911yescharacteristic
1168C2×C22⋊C4C23×C2911yescharacteristic
1169C2×C22⋊C4C23×C2911yescharacteristic
1170C2×C22⋊C4C23×C2911yescharacteristic
1171C2×C22⋊C4C23×C2911yescharacteristic
1172C2×C22⋊C4C23×C2911yescharacteristic
1173C2×C22⋊C4C23×C2911yescharacteristic
1174C2×C22⋊C4C23×C2911yescharacteristic
1175C2×C22⋊C4C23×C2911yescharacteristic
1176C2×C22⋊C4C23×C2911yescharacteristic
1177C2×C22⋊C4C23×C2911yescharacteristic
1178C2×C22⋊C4C23×C2911yescharacteristic
1179C2×C22⋊C4C23×C2911yescharacteristic
1180C2×C22⋊C4C23×C2911yescharacteristic
1181C2×C22⋊C4C23×C2911yescharacteristic
1182C2×C22⋊C4C23×C2911yescharacteristic
1183C2×C22⋊C4C23×C2911yescharacteristic
1184C2×C22⋊C4C23×C2911yescharacteristic
1185C2×C22⋊C4C23×C2911yescharacteristic
1186C2×C22⋊C4C23×C2911yescharacteristic
1187C2×C22⋊C4C23×C2911yescharacteristic
1188C2×C22⋊C4C23×C2911yescharacteristic
1189C2×C22⋊C4C23×C2911yescharacteristic
1190C2×C22⋊C4C23×C2911yescharacteristic
1191C2×C22⋊C4C23×C2911yescharacteristic
1192C2×C22⋊C4C23×C2911yescharacteristic
1193C2×C22⋊C4C23×C2911yescharacteristic
1194C2×C22⋊C4C23×C2911yescharacteristic
1195C2×C22⋊C4C23×C2911yescharacteristic
1196C2×C22⋊C4C23×C2911yescharacteristic
1197C2×C22⋊C4C23×C2911yescharacteristic
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×C42C23×C2911yescharacteristic
1225C2×C42C23×C2911yescharacteristic
1226C2×C42C23×C2911yescharacteristic
1227#95C23×C2911yescharacteristic
1228#95C23×C2911yescharacteristic
1229#95C23×C2911yescharacteristic
1230#95C23×C2911yescharacteristic
1231#95C23×C2911yescharacteristic
1232#95C23×C2911yescharacteristic
1233#95C23×C2911yescharacteristic
1234#95C23×C2911yescharacteristic
1235#95C23×C2911yescharacteristic
1236#95C23×C2911yescharacteristic
1237#95C23×C2911yescharacteristic
1238#95C23×C2911yescharacteristic
1239#95C23×C2911yescharacteristic
1240#95C23×C2911yescharacteristic
1241#95C23×C2911yescharacteristic
1242#95C23×C2911yescharacteristic
1243#95C23×C2911yescharacteristic
1244#95C23×C2911yescharacteristic
1245#95C23×C2911yescharacteristic
1246#95C23×C2911yescharacteristic
1247#95C23×C2911yescharacteristic
1248#95C23×C2911yescharacteristic
1249#95C23×C2911yescharacteristic
1250#95C23×C2911yescharacteristic
1251#95C23×C2911yescharacteristic
1252#95C23×C2911yescharacteristic
1253#95C23×C2911yescharacteristic
1254#95C23×C2911yescharacteristic
1255#95C23×C2911yescharacteristic
1256#95C23×C2911yescharacteristic
1257#95C23×C2911yescharacteristic
1258#95C23×C2911yescharacteristic
1259#95C23×C2911yescharacteristic
1260#95C23×C2911yescharacteristic
1261#95C23×C2911yescharacteristic
1262#95C23×C2911yescharacteristic
1263#95C23×C2911yescharacteristic
1264#95C23×C2911yescharacteristic
1265#95C23×C2911yescharacteristic
1266#95C23×C2911yescharacteristic
1267C29#3677611yescharacteristic, direct product factor, Sylow
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—22no—
1274C24—22no—
1275C24—22no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—41no—
1282C24—41no—
1283C24—41no—
1284C24—41no—
1285C24—41no—
1286C24—41no—
1287C24—41no—
1288C24#41×C2914yes—
1289C24C24×C2911yescharacteristic
1290C24C24×C2911yescharacteristic
1291C24C24×C2911yescharacteristic
1292C24C24×C2911yescharacteristic
1293C24C24×C2911yescharacteristic
1294C24C24×C2911yescharacteristic
1295C24C24×C2911yescharacteristic
1296C24C24×C2911yescharacteristic
1297C2×Q8—41no—
1298C2×Q8—41no—
1299C2×Q8—41no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
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—41no—
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—416no—
1358C2×D4—416no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—416no—
1399C22×C4C24×C2911yescharacteristic
1400C22×C4C24×C2911yescharacteristic
1401C22×C4C24×C2911yescharacteristic
1402C22×C4C24×C2911yescharacteristic
1403C22×C4C24×C2911yescharacteristic
1404C22×C4C24×C2911yescharacteristic
1405C22×C4C24×C2911yescharacteristic
1406C22×C4C24×C2911yescharacteristic
1407C22×C4C24×C2911yescharacteristic
1408C22×C4C24×C2911yescharacteristic
1409C22×C4C24×C2911yescharacteristic
1410C22×C4C24×C2911yescharacteristic
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
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—41no—
1429C4⋊C4—41no—
1430C4⋊C4—41no—
1431C4⋊C4—41no—
1432C4⋊C4—41no—
1433C4⋊C4—41no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—41no—
1492C22⋊C4—41no—
1493C22⋊C4—41no—
1494C22⋊C4—41no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C42—41no—
1499C42—41no—
1500C42—41no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—28no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—28no—
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—44no—
1553C23—44no—
1554C23—44no—
1555C23—44no—
1556C23—44no—
1557C23—44no—
1558C23—44no—
1559C23—44no—
1560C23—44no—
1561C23—82no—
1562C23—82no—
1563C23—82no—
1564C23—82no—
1565C23—82no—
1566C23—82no—
1567C23—82no—
1568C23—82no—
1569C23—82no—
1570C23—82no—
1571C23C2×#41×C2912yes—
1572C23C2×#41×C2912yes—
1573C23C2×#41×C2912yes—
1574C23C29×H(5,𝔽2)12yes—
1575C23C29×H(5,𝔽2)12yes—
1576C23C29×H(5,𝔽2)12yes—
1577C23C29×H(5,𝔽2)12yes—
1578C23C25×C2911yescharacteristic
1579Q8—82no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—44no—
1585D4—44no—
1586D4—44no—
1587D4—44no—
1588D4—44no—
1589D4—82no—
1590D4—82no—
1591D4—82no—
1592D4—82no—
1593D4—82no—
1594D4—82no—
1595D4—82no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
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—44no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—82no—
1676C2×C4—82no—
1677C2×C4—82no—
1678C2×C4—82no—
1679C2×C4—82no—
1680C2×C4C29×H(5,𝔽2)12yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—416no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
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—88no—
1738C22—88no—
1739C22C29×#53814yes—
1740C22C22×#41×C2911yescharacteristic
1741C22C2×C29×H(5,𝔽2)11yescharacteristic
1742C22C2×C29×H(5,𝔽2)11yescharacteristic
1743C22C2×C29×H(5,𝔽2)11yescharacteristic
1744C22C2×C29×H(5,𝔽2)11yescharacteristic
1745C22C2×C29×H(5,𝔽2)11yescharacteristic
1746C22C29×#58511yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—42no—
1774C2—42no—
1775C2—81no—
1776C2—81no—
1777C2—81no—
1778C2C2×C29×#53811yescharacteristic
1779C2C29×#349011yescharacteristic
1780C2C29×#350511yescharacteristic
1781C2C29×#353211yescharacteristic
1782C2C29×#353411yescharacteristic
1783C2C29×#353411yescharacteristic
1784C2C29×#353711yescharacteristic
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. C29×#2849C2semidirect
2. C29×#2847C2semidirect
3. C29×#2778C2semidirect
4. C29×#2778C2semidirect
5. C29×#2760C2semidirect
6. C29×#2750C2semidirect
7. C29×#2749C2semidirect
8. C29×#2749C2semidirect
9. C29×#2743C2semidirect
10. C29×#2703C2semidirect
11. C29×#2697C2semidirect
12. C29×#2696C2semidirect
13. C29×#2688C2semidirect
14. C29×#2688C2semidirect
15. C29×#2684C2semidirect
16. C29×#2678C2semidirect
17. C29×#2676C2semidirect
18. C29×#2668C2semidirect
19. C29×#2643C2semidirect
20. C29×#2639C2semidirect
21. C29×#2510C2semidirect
22. C29×#2472C2semidirect
23. C29×#2444C2semidirect
24. C29×#2437C2semidirect
25. C29×#2424C2semidirect
26. C29×#2410C2semidirect
27. C29×#2410C2semidirect
28. C29×#2403C2semidirect
29. C29×#2321C2semidirect
30. C29×#2308C2semidirect
31. C2×C29×#386C2semidirect
34. C24×C4×C29C22semidirect
35. C2×C29×#124C22semidirect
36. C2×C29×#123C22semidirect
37. C2×C29×#123C22semidirect
38. C2×C29×C22⋊Q8C22semidirect
39. C2×C29×C22⋊Q8C22semidirect
42. C2×C29×#121C22semidirect
43. C2×C29×#121C22semidirect
44. C2×C29×#121C22semidirect
45. C2×C29×#121C22semidirect
46. C2×C29×#121C22semidirect
52. C2×C29×#120C22semidirect
53. C2×C29×#120C22semidirect
54. C2×C4×D4×C29C22semidirect
58. C22×C22⋊C4×C29C22semidirect
59. C29×#401C22semidirect
60. C29×#401C22semidirect
61. C29×#400C22semidirect
62. C29×#400C22semidirect
63. C29×#400C22semidirect
64. C29×#400C22semidirect
65. C29×#400C22semidirect
66. C29×#400C22semidirect
67. C29×#400C22semidirect
68. C29×#399C22semidirect
69. C29×#397C22semidirect
70. C29×#397C22semidirect
71. C29×#397C22semidirect
72. C29×#397C22semidirect
73. C29×#397C22semidirect
74. C29×#397C22semidirect
75. C29×#397C22semidirect
76. C29×#397C22semidirect
77. C29×#397C22semidirect
78. C29×#397C22semidirect
79. C29×#396C22semidirect
80. C29×#396C22semidirect
81. C29×#396C22semidirect
82. C29×#396C22semidirect
85. C29×#394C22semidirect
86. C29×#394C22semidirect
87. C29×#394C22semidirect
88. C29×#394C22semidirect
89. C29×#394C22semidirect
90. C29×#394C22semidirect
91. C29×#394C22semidirect
92. C29×#394C22semidirect
93. C29×#394C22semidirect
94. C29×#393C22semidirect
95. C29×#393C22semidirect
96. C29×#393C22semidirect
97. C29×#393C22semidirect
104. C29×#392C22semidirect
105. C29×#392C22semidirect
106. C29×#392C22semidirect
107. C29×#390C22semidirect
108. C29×#390C22semidirect
109. C29×#390C22semidirect
110. C29×#390C22semidirect
111. C29×#388C22semidirect
112. C29×#388C22semidirect
113. C29×#388C22semidirect
114. C29×#388C22semidirect
115. C29×#388C22semidirect
116. C29×#388C22semidirect
117. C29×#388C22semidirect
118. C29×#388C22semidirect
119. C29×#388C22semidirect
120. C29×#388C22semidirect
121. C29×#387C22semidirect
122. C29×#387C22semidirect
137. C29×#386C22semidirect
138. C29×#386C22semidirect
139. C29×#386C22semidirect
140. C29×#386C22semidirect
141. C29×#386C22semidirect
142. C29×#386C22semidirect
143. C29×#386C22semidirect
144. C29×#386C22semidirect
145. C29×#386C22semidirect
146. C29×#386C22semidirect
147. C29×#386C22semidirect
148. C29×#386C22semidirect
149. C29×#386C22semidirect
150. C29×#386C22semidirect
151. C29×#386C22semidirect
152. C29×#386C22semidirect
153. C29×#386C22semidirect
154. C29×#386C22semidirect
155. C29×#386C22semidirect
156. C29×#386C22semidirect
157. C29×#386C22semidirect
158. C29×#386C22semidirect
159. C29×#386C22semidirect
160. C29×#385C22semidirect
161. C29×#385C22semidirect
162. C29×#385C22semidirect
163. C29×#385C22semidirect
164. C29×#385C22semidirect
165. C29×#385C22semidirect
166. C29×#385C22semidirect
167. C29×#385C22semidirect
168. C29×#385C22semidirect
169. C29×#383C22semidirect
170. C29×#381C22semidirect
171. C29×#381C22semidirect
172. C29×#381C22semidirect
173. C29×#381C22semidirect
174. C29×#381C22semidirect
175. C29×#380C22semidirect
176. C29×#380C22semidirect
177. C29×#380C22semidirect
178. C29×#380C22semidirect
180. C29×#379C22semidirect
181. C29×#379C22semidirect
182. C29×#379C22semidirect
183. C29×#379C22semidirect
184. C4×C22⋊C4×C29C22semidirect
185. C2×C29×#95C22semidirect
186. C2×C29×#95C22semidirect
608. #36776C29direct (N × H)
789. #2849C2×C29semidirect
790. #2847C2×C29semidirect
791. #2778C2×C29semidirect
792. #2778C2×C29semidirect
793. #2760C2×C29semidirect
794. #2750C2×C29semidirect
795. #2749C2×C29semidirect
796. #2749C2×C29semidirect
797. #2743C2×C29semidirect
798. #2703C2×C29semidirect
799. #2697C2×C29semidirect
800. #2696C2×C29semidirect
801. #2688C2×C29semidirect
802. #2688C2×C29semidirect
803. #2684C2×C29semidirect
804. #2678C2×C29semidirect
805. #2676C2×C29semidirect
806. #2668C2×C29semidirect
807. #2643C2×C29semidirect
808. #2639C2×C29semidirect
809. #2510C2×C29semidirect
810. #2472C2×C29semidirect
811. #2444C2×C29semidirect
812. #2437C2×C29semidirect
813. #2424C2×C29semidirect
814. #2410C2×C29semidirect
815. #2410C2×C29semidirect
816. #2403C2×C29semidirect
817. #2321C2×C29semidirect
818. #2308C2×C29semidirect
819. C2×#386C2×C29semidirect
911. C24×C4C22×C29semidirect
912. C2×#124C22×C29semidirect
913. C2×#123C22×C29semidirect
914. C2×#123C22×C29semidirect
915. C2×C22⋊Q8C22×C29semidirect
916. C2×C22⋊Q8C22×C29semidirect
919. C2×#121C22×C29semidirect
920. C2×#121C22×C29semidirect
921. C2×#121C22×C29semidirect
922. C2×#121C22×C29semidirect
923. C2×#121C22×C29semidirect
929. C2×#120C22×C29semidirect
930. C2×#120C22×C29semidirect
931. C2×C4×D4C22×C29semidirect
935. C22×C22⋊C4C22×C29semidirect
936. #401C22×C29semidirect
937. #401C22×C29semidirect
938. #400C22×C29semidirect
939. #400C22×C29semidirect
940. #400C22×C29semidirect
941. #400C22×C29semidirect
942. #400C22×C29semidirect
943. #400C22×C29semidirect
944. #400C22×C29semidirect
945. #399C22×C29semidirect
946. #397C22×C29semidirect
947. #397C22×C29semidirect
948. #397C22×C29semidirect
949. #397C22×C29semidirect
950. #397C22×C29semidirect
951. #397C22×C29semidirect
952. #397C22×C29semidirect
953. #397C22×C29semidirect
954. #397C22×C29semidirect
955. #397C22×C29semidirect
956. #396C22×C29semidirect
957. #396C22×C29semidirect
958. #396C22×C29semidirect
959. #396C22×C29semidirect
962. #394C22×C29semidirect
963. #394C22×C29semidirect
964. #394C22×C29semidirect
965. #394C22×C29semidirect
966. #394C22×C29semidirect
967. #394C22×C29semidirect
968. #394C22×C29semidirect
969. #394C22×C29semidirect
970. #394C22×C29semidirect
971. #393C22×C29semidirect
972. #393C22×C29semidirect
973. #393C22×C29semidirect
974. #393C22×C29semidirect
981. #392C22×C29semidirect
982. #392C22×C29semidirect
983. #392C22×C29semidirect
984. #390C22×C29semidirect
985. #390C22×C29semidirect
986. #390C22×C29semidirect
987. #390C22×C29semidirect
988. #388C22×C29semidirect
989. #388C22×C29semidirect
990. #388C22×C29semidirect
991. #388C22×C29semidirect
992. #388C22×C29semidirect
993. #388C22×C29semidirect
994. #388C22×C29semidirect
995. #388C22×C29semidirect
996. #388C22×C29semidirect
997. #388C22×C29semidirect
998. #387C22×C29semidirect
999. #387C22×C29semidirect
1014. #386C22×C29semidirect
1015. #386C22×C29semidirect
1016. #386C22×C29semidirect
1017. #386C22×C29semidirect
1018. #386C22×C29semidirect
1019. #386C22×C29semidirect
1020. #386C22×C29semidirect
1021. #386C22×C29semidirect
1022. #386C22×C29semidirect
1023. #386C22×C29semidirect
1024. #386C22×C29semidirect
1025. #386C22×C29semidirect
1026. #386C22×C29semidirect
1027. #386C22×C29semidirect
1028. #386C22×C29semidirect
1029. #386C22×C29semidirect
1030. #386C22×C29semidirect
1031. #386C22×C29semidirect
1032. #386C22×C29semidirect
1033. #386C22×C29semidirect
1034. #386C22×C29semidirect
1035. #386C22×C29semidirect
1036. #386C22×C29semidirect
1037. #385C22×C29semidirect
1038. #385C22×C29semidirect
1039. #385C22×C29semidirect
1040. #385C22×C29semidirect
1041. #385C22×C29semidirect
1042. #385C22×C29semidirect
1043. #385C22×C29semidirect
1044. #385C22×C29semidirect
1045. #385C22×C29semidirect
1046. #383C22×C29semidirect
1047. #381C22×C29semidirect
1048. #381C22×C29semidirect
1049. #381C22×C29semidirect
1050. #381C22×C29semidirect
1051. #381C22×C29semidirect
1052. #380C22×C29semidirect
1053. #380C22×C29semidirect
1054. #380C22×C29semidirect
1055. #380C22×C29semidirect
1057. #379C22×C29semidirect
1058. #379C22×C29semidirect
1059. #379C22×C29semidirect
1060. #379C22×C29semidirect
1061. C4×C22⋊C4C22×C29semidirect
1062. C2×#95C22×C29semidirect
1063. C2×#95C22×C29semidirect
1267. C29#36776direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#28492
C29×#28472
C29×#27782
C29×#27602
C29×#27502
C29×#27492
C29×#27432
C29×#27032
C29×#26972
C29×#26962
C29×#26882
C29×#26842
C29×#26782
C29×#26762
C29×#26682
C29×#26432
C29×#26392
C29×#25102
C29×#24722
C29×#24442
C29×#24372
C29×#24242
C29×#24102
C29×#24032
C29×#23212
C29×#23082
C2×C29×#3862
#3677629