Finite Group Databasebeta

← C29×#34740 #20329640

Subgroups — C29×#34740 #20329640

Order 7424.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C29×#529C211yesmaximal, characteristic, complemented
2C22×C29×#117C211yesmaximal, characteristic, complemented
3C29×#2481C211yesmaximal, characteristic, complemented
4C29×#2480C211yesmaximal, characteristic, complemented
5C29×#2479C211yesmaximal, characteristic, complemented
6C29×#2478C211yesmaximal, characteristic, complemented
7C29×#2477C211yesmaximal, characteristic, complemented
8C29×#2476C211yesmaximal, characteristic, complemented
9C29×#2475C211yesmaximal, characteristic, complemented
10C29×#2474C211yesmaximal, characteristic, complemented
11C29×#2473C211yesmaximal, characteristic, complemented
12C29×#2472C211yesmaximal, characteristic, complemented
13C29×#2471C211yesmaximal, characteristic, complemented
14C29×#2470C211yesmaximal, characteristic, complemented
15C29×#2449C211yesmaximal, characteristic, complemented
16C29×#2443C211yesmaximal, characteristic, complemented
17C29×#2424C211yesmaximal, characteristic
18C29×#2418C211yesmaximal, characteristic, complemented
19C29×#2396C211yesmaximal, characteristic, complemented
20C29×#2395C211yesmaximal, characteristic, complemented
21C29×#2395C211yesmaximal, characteristic, complemented
22C29×#2392C211yesmaximal, characteristic, complemented
23C4×C29×C22⋊Q8C211yesmaximal, characteristic, complemented
24C4×C29×#121C211yesmaximal, characteristic, complemented
25C4×C29×#120C211yesmaximal, characteristic, complemented
26C4×C29×#120C211yesmaximal, characteristic, complemented
27C29×#2298C211yesmaximal, characteristic, complemented
28C29×#2293C211yesmaximal, characteristic, complemented
29C29×#2290C211yesmaximal, characteristic, complemented
30C29×#2290C211yesmaximal, characteristic, complemented
31C42×D4×C29C211yesmaximal, characteristic, complemented
32C24×C4×C29C2211yescharacteristic
33C29×#529—28no—
34C2×C29×#126C2211yescharacteristic
35C2×C29×#126C2211yescharacteristic, complemented
36C2×C29×#125C2211yescharacteristic, complemented
37C2×C29×#124C2211yescharacteristic
38C2×C29×#123C2211yescharacteristic
39C2×C29×#123C2211yescharacteristic, complemented
40C2×C29×C22⋊Q8C2211yescharacteristic
41C2×C29×C22⋊Q8C2211yescharacteristic, complemented
42C2×C29×#121C2211yescharacteristic
43C2×C29×#121C2211yescharacteristic
44C2×C29×#120C2211yescharacteristic
45C2×C29×#120C2211yescharacteristic
46C2×C4×Q8×C29C2211yescharacteristic, complemented
47C2×C4×D4×C29C2211yescharacteristic
48C2×C4×D4×C29C2211yescharacteristic
49C2×C4×D4×C29C2211yescharacteristic
50C2×C4×D4×C29C2211yescharacteristic
51C2×C4×D4×C29C2211yescharacteristic
52C2×C4×D4×C29C2211yescharacteristic
53C2×C4×D4×C29C2211yescharacteristic
54C2×C4×D4×C29C2211yescharacteristic
55C2×C4×D4×C29C2211yescharacteristic, complemented
56C2×C29×#117—28no—
57C2×C29×#117C2211yescharacteristic
58C2×C29×#117C2211yescharacteristic
59C2×C29×#117C2211yescharacteristic
60C2×C29×#117C2211yescharacteristic
61C2×C29×#117C2211yescharacteristic
62C2×C29×#117C2211yescharacteristic
63C2×C29×#117C2211yescharacteristic
64C2×C29×#117C2211yescharacteristic
65C2×C29×#117C2211yescharacteristic, complemented
66C22×C4⋊C4×C29C2211yescharacteristic
67C22×C4⋊C4×C29C2211yescharacteristic
68C22×C22⋊C4×C29C2211yescharacteristic
69C22×C22⋊C4×C29C2211yescharacteristic
70C22×C42×C29C2211yescharacteristic
71C22×C42×C29C2211yescharacteristic
72C22×C42×C29C2211yescharacteristic, complemented
73C29×#400C2211yescharacteristic, complemented
74C29×#400C2211yescharacteristic, complemented
75C29×#400C2211yescharacteristic, complemented
76C29×#399C2211yescharacteristic
77C29×#399C2211yescharacteristic, complemented
78C29×#399C2211yescharacteristic, complemented
79C29×#398C2211yescharacteristic, complemented
80C29×#398C2211yescharacteristic, complemented
81C29×#398C2211yescharacteristic, complemented
82C29×#398C2211yescharacteristic, complemented
83C29×#398C2211yescharacteristic, complemented
84C29×#397C2211yescharacteristic
85C29×#397C2211yescharacteristic
86C29×#397C2211yescharacteristic
87C29×#397C2211yescharacteristic
88C29×#397C2211yescharacteristic
89C29×#397C2211yescharacteristic, complemented
90C29×#397C2211yescharacteristic, complemented
91C29×#396C2211yescharacteristic
92C29×#396C2211yescharacteristic
93C29×#396C2211yescharacteristic, complemented
94C29×#396C2211yescharacteristic, complemented
95C29×#395C2211yescharacteristic, complemented
96C29×#394C2211yescharacteristic
97C29×#394C2211yescharacteristic
98C29×#394C2211yescharacteristic
99C29×#394C2211yescharacteristic
100C29×#394C2211yescharacteristic
101C29×#394C2211yescharacteristic
102C29×#394C2211yescharacteristic, complemented
103C29×#393C2211yescharacteristic
104C29×#392C2211yescharacteristic
105C29×#391C2211yescharacteristic, complemented
106C29×#390C2211yescharacteristic
107C29×#390C2211yescharacteristic
108C29×#390C2211yescharacteristic, complemented
109C29×#389C2211yescharacteristic, complemented
110C29×#389C2211yescharacteristic, complemented
111C29×#389C2211yescharacteristic, complemented
112C29×#389C2211yescharacteristic, complemented
113C29×#388C2211yescharacteristic
114C29×#388C2211yescharacteristic
115C29×#388C2211yescharacteristic
116C29×#388C2211yescharacteristic
117C29×#388C2211yescharacteristic
118C29×#388C2211yescharacteristic
119C29×#388C2211yescharacteristic
120C29×#388C2211yescharacteristic
121C29×#388C2211yescharacteristic, complemented
122C29×#388C2211yescharacteristic, complemented
123C29×#388C2211yescharacteristic, complemented
124C29×#388C2211yescharacteristic, complemented
125C29×#388C2211yescharacteristic, complemented
126C29×#388C2211yescharacteristic, complemented
127C29×#387C2211yescharacteristic, complemented
128C29×#387C2211yescharacteristic, complemented
129C29×#387C2211yescharacteristic, complemented
130C29×#387C2211yescharacteristic, complemented
131C29×#387C2211yescharacteristic, complemented
132C29×#387C2211yescharacteristic, complemented
133C29×#387C2211yescharacteristic, complemented
134C29×#387C2211yescharacteristic, complemented
135C29×#387C2211yescharacteristic, complemented
136C29×#387C2211yescharacteristic, complemented
137C29×#386C2211yescharacteristic
138C29×#386C2211yescharacteristic
139C29×#386C2211yescharacteristic
140C29×#386C2211yescharacteristic
141C29×#386C2211yescharacteristic
142C29×#386C2211yescharacteristic
143C29×#386C2211yescharacteristic
144C29×#386C2211yescharacteristic
145C29×#386C2211yescharacteristic
146C29×#386C2211yescharacteristic
147C29×#386C2211yescharacteristic
148C29×#386C2211yescharacteristic
149C29×#385C2211yescharacteristic
150C29×#385C2211yescharacteristic
151C29×#385C2211yescharacteristic
152C29×#385C2211yescharacteristic
153C29×#385C2211yescharacteristic
154C29×#385C2211yescharacteristic
155C29×#385C2211yescharacteristic
156C29×#385C2211yescharacteristic
157C29×#385C2211yescharacteristic
158C29×#385C2211yescharacteristic
159C29×#385C2211yescharacteristic, complemented
160C29×#385C2211yescharacteristic, complemented
161C29×#380C2211yescharacteristic
162C29×#380C2211yescharacteristic
163C29×#379C2211yescharacteristic
164C29×#379C2211yescharacteristic
165C4×C4⋊C4×C29C2211yescharacteristic, complemented
166C4×C4⋊C4×C29C2211yescharacteristic, complemented
167C4×C4⋊C4×C29C2211yescharacteristic, complemented
168C4×C4⋊C4×C29C2211yescharacteristic, complemented
169C4×C4⋊C4×C29C2211yescharacteristic, complemented
170C4×C4⋊C4×C29C2211yescharacteristic, complemented
171C4×C4⋊C4×C29C2211yescharacteristic, complemented
172C4×C4⋊C4×C29C2211yescharacteristic, complemented
173C4×C22⋊C4×C29C2211yescharacteristic
174C4×C22⋊C4×C29C2211yescharacteristic
175C4×C22⋊C4×C29C2211yescharacteristic
176C4×C22⋊C4×C29C2211yescharacteristic
177C4×C22⋊C4×C29C2211yescharacteristic
178C4×C22⋊C4×C29C2211yescharacteristic
179C4×C22⋊C4×C29C2211yescharacteristic
180C4×C22⋊C4×C29C2211yescharacteristic
181C4×C22⋊C4×C29C2211yescharacteristic, complemented
182C4×C22⋊C4×C29C2211yescharacteristic, complemented
183C4×C22⋊C4×C29C2211yescharacteristic, complemented
184C4×C22⋊C4×C29C2211yescharacteristic, complemented
185C4×C22⋊C4×C29C2211yescharacteristic, complemented
186C4×C22⋊C4×C29C2211yescharacteristic, complemented
187C29×#376C2211yescharacteristic, complemented
188C43×C29C2211yescharacteristic, 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
198C23×C4×C29—24no—
199C23×C4×C29—24no—
200C23×C4×C29—24no—
201C23×C4×C29C2311yescharacteristic
202C23×C4×C29C2311yescharacteristic
203C23×C4×C29C2311yescharacteristic
204C23×C4×C29C2311yescharacteristic
205C23×C4×C29C2311yescharacteristic
206C23×C4×C29C2311yescharacteristic
207C23×C4×C29C2311yescharacteristic
208C23×C4×C29C2311yescharacteristic
209C23×C4×C29C2311yescharacteristic
210C23×C4×C29C2311yescharacteristic
211C23×C4×C29C2311yescharacteristic
212C23×C4×C29C2311yescharacteristic
213C23×C4×C29C2311yescharacteristic
214C23×C4×C29C2311yescharacteristic
215C29×#126—24no—
216C29×#126—24no—
217C29×#125—24no—
218C29×#124—24no—
219C29×#123—24no—
220C29×#123—24no—
221C29×C22⋊Q8—24no—
222C29×C22⋊Q8—24no—
223C29×#121—24no—
224C29×#121—24no—
225C29×#120—24no—
226C29×#120—24no—
227C4×Q8×C29—24no—
228C4×D4×C29—24no—
229C4×D4×C29—24no—
230C4×D4×C29—24no—
231C4×D4×C29—24no—
232C4×D4×C29—24no—
233C4×D4×C29—24no—
234C4×D4×C29—24no—
235C4×D4×C29—24no—
236C4×D4×C29—24no—
237C29×#117—24no—
238C29×#117—24no—
239C29×#117—24no—
240C29×#117—24no—
241C29×#117—24no—
242C29×#117—24no—
243C29×#117—24no—
244C29×#117—24no—
245C29×#117D418yescomplemented
246C2×C4⋊C4×C29—24no—
247C2×C4⋊C4×C29—24no—
248C2×C4⋊C4×C29C2311yescharacteristic
249C2×C4⋊C4×C29C2311yescharacteristic
250C2×C4⋊C4×C29C2311yescharacteristic
251C2×C4⋊C4×C29C2311yescharacteristic
252C2×C4⋊C4×C29C2311yescharacteristic
253C2×C4⋊C4×C29C2311yescharacteristic
254C2×C4⋊C4×C29C2311yescharacteristic
255C2×C4⋊C4×C29C2311yescharacteristic
256C2×C4⋊C4×C29C2311yescharacteristic
257C2×C4⋊C4×C29C2311yescharacteristic
258C2×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×C4⋊C4×C29C2311yescharacteristic
269C2×C4⋊C4×C29C2311yescharacteristic
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×C22⋊C4×C29—24no—
281C2×C22⋊C4×C29—24no—
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×C42×C29—24no—
327C2×C42×C29—24no—
328C2×C42×C29—24no—
329C2×C42×C29C2311yescharacteristic
330C2×C42×C29C2311yescharacteristic
331C2×C42×C29C2311yescharacteristic
332C2×C42×C29C2311yescharacteristic
333C2×C42×C29C2311yescharacteristic
334C2×C42×C29C2311yescharacteristic
335C2×C42×C29C2311yescharacteristic
336C2×C42×C29C2311yescharacteristic
337C2×C42×C29C2311yescharacteristic
338C2×C42×C29C2311yescharacteristic
339C2×C42×C29C2311yescharacteristic
340C2×C42×C29C2311yescharacteristic
341C2×C42×C29C2311yescharacteristic
342C2×C42×C29C2311yescharacteristic
343C2×C42×C29C2311yescharacteristic
344C2×C42×C29C2311yescharacteristic
345C2×C42×C29C2311yescharacteristic
346C2×C42×C29C2311yescharacteristic
347C2×C42×C29C2311yescharacteristic
348C2×C42×C29C2311yescharacteristic
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
375C29×#95C2311yescharacteristic
376C29×#95C2311yescharacteristic
377C29×#95C2311yescharacteristic
378C29×#95C2311yescharacteristic
379C29×#95C2311yescharacteristic
380C29×#95C2311yescharacteristic
381C29×#95C2311yescharacteristic
382C29×#95C2311yescharacteristic
383C29×#95C2311yescharacteristic
384C29×#95C2311yescharacteristic
385C24×C29—22no—
386C24×C29—22no—
387C24×C29—22no—
388C24×C29—22no—
389C24×C29—22no—
390C24×C29—41no—
391C24×C29—41no—
392C24×C29C2411yescharacteristic
393C24×C29C2411yescharacteristic
394C24×C29C2411yescharacteristic
395C24×C29C2411yescharacteristic
396C24×C29C2411yescharacteristic
397C2×Q8×C29—22no—
398C2×Q8×C29—22no—
399C2×Q8×C29—41no—
400C2×D4×C29—22no—
401C2×D4×C29—22no—
402C2×D4×C29—22no—
403C2×D4×C29—22no—
404C2×D4×C29—22no—
405C2×D4×C29—22no—
406C2×D4×C29—22no—
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—41no—
416C2×D4×C29—41no—
417C2×D4×C29—41no—
418C2×D4×C29—41no—
419C2×D4×C29—41no—
420C2×D4×C29#4114yes—
421C22×C4×C29—232no—
422C22×C4×C29—22no—
423C22×C4×C29—22no—
424C22×C4×C29—22no—
425C22×C4×C29—22no—
426C22×C4×C29—22no—
427C22×C4×C29—22no—
428C22×C4×C29—22no—
429C22×C4×C29—22no—
430C22×C4×C29—22no—
431C22×C4×C29—22no—
432C22×C4×C29—22no—
433C22×C4×C29—22no—
434C22×C4×C29—22no—
435C22×C4×C29—22no—
436C22×C4×C29—22no—
437C22×C4×C29—22no—
438C22×C4×C29—22no—
439C22×C4×C29—22no—
440C22×C4×C29—22no—
441C22×C4×C29—22no—
442C22×C4×C29—22no—
443C22×C4×C29—22no—
444C22×C4×C29—22no—
445C22×C4×C29—22no—
446C22×C4×C29—22no—
447C22×C4×C29—22no—
448C22×C4×C29—22no—
449C22×C4×C29—22no—
450C22×C4×C29—22no—
451C22×C4×C29—22no—
452C22×C4×C29—22no—
453C22×C4×C29—22no—
454C22×C4×C29—22no—
455C22×C4×C29—41no—
456C22×C4×C29—41no—
457C22×C4×C29—41no—
458C22×C4×C29—41no—
459C22×C4×C29—41no—
460C22×C4×C29—41no—
461C22×C4×C29C2×D414yes—
462C22×C4×C29#4114yes—
463C22×C4×C29#4114yes—
464C22×C4×C29C2411yescharacteristic
465C22×C4×C29C2411yescharacteristic
466C22×C4×C29C2411yescharacteristic
467C22×C4×C29C2411yescharacteristic
468C22×C4×C29C2411yescharacteristic
469C22×C4×C29C2411yescharacteristic
470C22×C4×C29C2411yescharacteristic
471C22×C4×C29C2411yescharacteristic
472C22×C4×C29C2411yescharacteristic
473C22×C4×C29C2411yescharacteristic
474C22×C4×C29C2411yescharacteristic
475C22×C4×C29C2411yescharacteristic
476C22×C4×C29C2411yescharacteristic
477C22×C4×C29C2411yescharacteristic
478C22×C4×C29C2411yescharacteristic
479C22×C4×C29C2411yescharacteristic
480C22×C4×C29C2411yescharacteristic
481C22×C4×C29C2411yescharacteristic
482C22×C4×C29C2411yescharacteristic
483C22×C4×C29C2411yescharacteristic
484C22×C4×C29C2411yescharacteristic
485C22×C4×C29C2411yescharacteristic
486C22×C4×C29C2411yescharacteristic
487C22×C4×C29C2411yescharacteristic
488C22×C4×C29C2411yescharacteristic
489C22×C4×C29C2411yescharacteristic
490C4⋊C4×C29—22no—
491C4⋊C4×C29—22no—
492C4⋊C4×C29—22no—
493C4⋊C4×C29—22no—
494C4⋊C4×C29—22no—
495C4⋊C4×C29—22no—
496C4⋊C4×C29—22no—
497C4⋊C4×C29—22no—
498C4⋊C4×C29—22no—
499C4⋊C4×C29—22no—
500C4⋊C4×C29—22no—
501C4⋊C4×C29—22no—
502C4⋊C4×C29—22no—
503C4⋊C4×C29—22no—
504C4⋊C4×C29—22no—
505C4⋊C4×C29—22no—
506C4⋊C4×C29—22no—
507C4⋊C4×C29—22no—
508C4⋊C4×C29—22no—
509C4⋊C4×C29—22no—
510C4⋊C4×C29—22no—
511C4⋊C4×C29—22no—
512C4⋊C4×C29—22no—
513C4⋊C4×C29—22no—
514C4⋊C4×C29—41no—
515C4⋊C4×C29—41no—
516C4⋊C4×C29—41no—
517C4⋊C4×C29—41no—
518C4⋊C4×C29—41no—
519C4⋊C4×C29—41no—
520C4⋊C4×C29C2×D414yes—
521C4⋊C4×C29C2×D414yes—
522C22⋊C4×C29—22no—
523C22⋊C4×C29—22no—
524C22⋊C4×C29—22no—
525C22⋊C4×C29—22no—
526C22⋊C4×C29—22no—
527C22⋊C4×C29—22no—
528C22⋊C4×C29—22no—
529C22⋊C4×C29—22no—
530C22⋊C4×C29—22no—
531C22⋊C4×C29—22no—
532C22⋊C4×C29—22no—
533C22⋊C4×C29—22no—
534C22⋊C4×C29—22no—
535C22⋊C4×C29—22no—
536C22⋊C4×C29—22no—
537C22⋊C4×C29—22no—
538C22⋊C4×C29—22no—
539C22⋊C4×C29—22no—
540C22⋊C4×C29—22no—
541C22⋊C4×C29—22no—
542C22⋊C4×C29—22no—
543C22⋊C4×C29—22no—
544C22⋊C4×C29—22no—
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—41no—
556C22⋊C4×C29—41no—
557C22⋊C4×C29—41no—
558C22⋊C4×C29—41no—
559C22⋊C4×C29—41no—
560C22⋊C4×C29—41no—
561C22⋊C4×C29—41no—
562C22⋊C4×C29—41no—
563C22⋊C4×C29C2×D414yes—
564C22⋊C4×C29C2×D414yes—
565C22⋊C4×C29#4114yes—
566C42×C29—22no—
567C42×C29—22no—
568C42×C29—22no—
569C42×C29—22no—
570C42×C29—22no—
571C42×C29—22no—
572C42×C29—22no—
573C42×C29—22no—
574C42×C29—22no—
575C42×C29—22no—
576C42×C29—22no—
577C42×C29—22no—
578C42×C29—22no—
579C42×C29—22no—
580C42×C29—22no—
581C42×C29—22no—
582C42×C29—41no—
583C42×C29—41no—
584C42×C29C2×D414yes—
585C42×C29C2×D414yes—
586#34740C2911yesmaximal, characteristic, direct product factor, Sylow
587C23×C29—21no—
588C23×C29—21no—
589C23×C29—21no—
590C23×C29—21no—
591C23×C29—28no—
592C23×C29—21no—
593C23×C29—21no—
594C23×C29—21no—
595C23×C29—21no—
596C23×C29—21no—
597C23×C29—21no—
598C23×C29—21no—
599C23×C29—21no—
600C23×C29—21no—
601C23×C29—21no—
602C23×C29—21no—
603C23×C29—21no—
604C23×C29—21no—
605C23×C29—21no—
606C23×C29—21no—
607C23×C29—21no—
608C23×C29—21no—
609C23×C29—21no—
610C23×C29—21no—
611C23×C29—21no—
612C23×C29—21no—
613C23×C29—21no—
614C23×C29—21no—
615C23×C29—21no—
616C23×C29—21no—
617C23×C29—44no—
618C23×C29—44no—
619C23×C29—44no—
620C23×C29—44no—
621C23×C29—44no—
622C23×C29—44no—
623C23×C29C22×D412yes—
624C23×C29C2×#4112yes—
625C23×C29C2×#4112yes—
626C23×C29C2×#4112yes—
627C23×C29C2×#4112yes—
628C23×C29C2×#4112yes—
629C23×C29C2511yescharacteristic
630Q8×C29—44no—
631D4×C29—28no—
632D4×C29—44no—
633D4×C29—44no—
634D4×C29—44no—
635D4×C29—44no—
636D4×C29—44no—
637D4×C29—44no—
638C2×C4×C29—28no—
639C2×C4×C29—28no—
640C2×C4×C29—28no—
641C2×C4×C29—21no—
642C2×C4×C29—21no—
643C2×C4×C29—21no—
644C2×C4×C29—21no—
645C2×C4×C29—21no—
646C2×C4×C29—21no—
647C2×C4×C29—21no—
648C2×C4×C29—21no—
649C2×C4×C29—21no—
650C2×C4×C29—21no—
651C2×C4×C29—21no—
652C2×C4×C29—21no—
653C2×C4×C29—21no—
654C2×C4×C29—21no—
655C2×C4×C29—21no—
656C2×C4×C29—21no—
657C2×C4×C29—21no—
658C2×C4×C29—21no—
659C2×C4×C29—21no—
660C2×C4×C29—21no—
661C2×C4×C29—28no—
662C2×C4×C29—28no—
663C2×C4×C29—28no—
664C2×C4×C29—21no—
665C2×C4×C29—21no—
666C2×C4×C29—21no—
667C2×C4×C29—21no—
668C2×C4×C29—21no—
669C2×C4×C29—21no—
670C2×C4×C29—21no—
671C2×C4×C29—21no—
672C2×C4×C29—21no—
673C2×C4×C29—21no—
674C2×C4×C29—21no—
675C2×C4×C29—21no—
676C2×C4×C29—21no—
677C2×C4×C29—21no—
678C2×C4×C29—21no—
679C2×C4×C29—21no—
680C2×C4×C29—21no—
681C2×C4×C29—21no—
682C2×C4×C29—21no—
683C2×C4×C29—21no—
684C2×C4×C29—21no—
685C2×C4×C29—21no—
686C2×C4×C29—21no—
687C2×C4×C29—21no—
688C2×C4×C29—21no—
689C2×C4×C29—21no—
690C2×C4×C29—21no—
691C2×C4×C29—21no—
692C2×C4×C29—21no—
693C2×C4×C29—21no—
694C2×C4×C29—21no—
695C2×C4×C29—21no—
696C2×C4×C29—21no—
697C2×C4×C29—21no—
698C2×C4×C29—21no—
699C2×C4×C29—21no—
700C2×C4×C29—21no—
701C2×C4×C29—21no—
702C2×C4×C29—21no—
703C2×C4×C29—21no—
704C2×C4×C29—21no—
705C2×C4×C29—21no—
706C2×C4×C29—21no—
707C2×C4×C29—21no—
708C2×C4×C29—21no—
709C2×C4×C29—44no—
710C2×C4×C29—44no—
711C2×C4×C29—44no—
712C2×C4×C29—44no—
713C2×C4×C29—44no—
714C2×C4×C29—44no—
715C2×C4×C29—44no—
716C2×C4×C29—44no—
717C2×C4×C29C22×D412yes—
718C2×C4×C29C22×D412yes—
719C2×C4×C29C22×D412yes—
720C2×C4×C29C22×D412yes—
721C2×C4×C29C22×D412yes—
722C2×C4×C29C22×D412yes—
723C2×C4×C29C2×#4112yes—
724C2×C4×C29C2×#4112yes—
725C2×C4×C29C2×#4112yes—
726C2×C4×C29C2×#4112yes—
727C2×C4×C29C2×#4112yes—
728C2×C4×C29C2×#4112yes—
729C2×C4×C29C2×#4112yes—
730C2×#529C2×C2911yescharacteristic, complemented
731C22×#117C2×C2911yescharacteristic, complemented
732#2481C2×C2911yescharacteristic, complemented
733#2480C2×C2911yescharacteristic, complemented
734#2479C2×C2911yescharacteristic, complemented
735#2478C2×C2911yescharacteristic, complemented
736#2477C2×C2911yescharacteristic, complemented
737#2476C2×C2911yescharacteristic, complemented
738#2475C2×C2911yescharacteristic, complemented
739#2474C2×C2911yescharacteristic, complemented
740#2473C2×C2911yescharacteristic, complemented
741#2472C2×C2911yescharacteristic, complemented
742#2471C2×C2911yescharacteristic, complemented
743#2470C2×C2911yescharacteristic, complemented
744#2449C2×C2911yescharacteristic, complemented
745#2443C2×C2911yescharacteristic, complemented
746#2424C2×C2911yescharacteristic
747#2418C2×C2911yescharacteristic, complemented
748#2396C2×C2911yescharacteristic, complemented
749#2395C2×C2911yescharacteristic, complemented
750#2395C2×C2911yescharacteristic, complemented
751#2392C2×C2911yescharacteristic, complemented
752C4×C22⋊Q8C2×C2911yescharacteristic, complemented
753C4×#121C2×C2911yescharacteristic, complemented
754C4×#120C2×C2911yescharacteristic, complemented
755C4×#120C2×C2911yescharacteristic, complemented
756#2298C2×C2911yescharacteristic, complemented
757#2293C2×C2911yescharacteristic, complemented
758#2290C2×C2911yescharacteristic, complemented
759#2290C2×C2911yescharacteristic, complemented
760C42×D4C2×C2911yescharacteristic, complemented
761C22×C29—22no—
762C22×C29—22no—
763C22×C29—22no—
764C22×C29—22no—
765C22×C29—22no—
766C22×C29—22no—
767C22×C29—22no—
768C22×C29—22no—
769C22×C29—22no—
770C22×C29—22no—
771C22×C29—22no—
772C22×C29—22no—
773C22×C29—22no—
774C22×C29—22no—
775C22×C29—22no—
776C22×C29—416no—
777C22×C29—41no—
778C22×C29—41no—
779C22×C29—41no—
780C22×C29—41no—
781C22×C29—41no—
782C22×C29—41no—
783C22×C29—41no—
784C22×C29—41no—
785C22×C29—41no—
786C22×C29—41no—
787C22×C29—41no—
788C22×C29—41no—
789C22×C29—41no—
790C22×C29—41no—
791C22×C29—41no—
792C22×C29—41no—
793C22×C29—41no—
794C22×C29—41no—
795C22×C29—41no—
796C22×C29#52914yescomplemented
797C22×C29C23×D411yescharacteristic
798C22×C29C22×#4111yescharacteristic
799C22×C29C22×#4111yescharacteristic
800C22×C29C22×#4111yescharacteristic
801C22×C29C22×#4111yescharacteristic
802C22×C29#58511yescharacteristic
803C22×C29#58511yescharacteristic
804C4×C29—22no—
805C4×C29—22no—
806C4×C29—22no—
807C4×C29—22no—
808C4×C29—22no—
809C4×C29—22no—
810C4×C29—22no—
811C4×C29—22no—
812C4×C29—22no—
813C4×C29—22no—
814C4×C29—41no—
815C4×C29—41no—
816C4×C29—41no—
817C4×C29—41no—
818C4×C29—41no—
819C4×C29—41no—
820C4×C29—41no—
821C4×C29—41no—
822C4×C29—41no—
823C4×C29—41no—
824C4×C29—41no—
825C4×C29—41no—
826C4×C29—41no—
827C4×C29—41no—
828C4×C29—41no—
829C4×C29#52514yes—
830C24×C4C22×C2911yescharacteristic
831#529—28no—
832C2×#126C22×C2911yescharacteristic
833C2×#126C22×C2911yescharacteristic, complemented
834C2×#125C22×C2911yescharacteristic, complemented
835C2×#124C22×C2911yescharacteristic
836C2×#123C22×C2911yescharacteristic
837C2×#123C22×C2911yescharacteristic, complemented
838C2×C22⋊Q8C22×C2911yescharacteristic
839C2×C22⋊Q8C22×C2911yescharacteristic, complemented
840C2×#121C22×C2911yescharacteristic
841C2×#121C22×C2911yescharacteristic
842C2×#120C22×C2911yescharacteristic
843C2×#120C22×C2911yescharacteristic
844C2×C4×Q8C22×C2911yescharacteristic, complemented
845C2×C4×D4C22×C2911yescharacteristic
846C2×C4×D4C22×C2911yescharacteristic
847C2×C4×D4C22×C2911yescharacteristic
848C2×C4×D4C22×C2911yescharacteristic
849C2×C4×D4C22×C2911yescharacteristic
850C2×C4×D4C22×C2911yescharacteristic
851C2×C4×D4C22×C2911yescharacteristic
852C2×C4×D4C22×C2911yescharacteristic
853C2×C4×D4C22×C2911yescharacteristic, complemented
854C2×#117—28no—
855C2×#117C22×C2911yescharacteristic
856C2×#117C22×C2911yescharacteristic
857C2×#117C22×C2911yescharacteristic
858C2×#117C22×C2911yescharacteristic
859C2×#117C22×C2911yescharacteristic
860C2×#117C22×C2911yescharacteristic
861C2×#117C22×C2911yescharacteristic
862C2×#117C22×C2911yescharacteristic
863C2×#117C22×C2911yescharacteristic, complemented
864C22×C4⋊C4C22×C2911yescharacteristic
865C22×C4⋊C4C22×C2911yescharacteristic
866C22×C22⋊C4C22×C2911yescharacteristic
867C22×C22⋊C4C22×C2911yescharacteristic
868C22×C42C22×C2911yescharacteristic
869C22×C42C22×C2911yescharacteristic
870C22×C42C22×C2911yescharacteristic, complemented
871#400C22×C2911yescharacteristic, complemented
872#400C22×C2911yescharacteristic, complemented
873#400C22×C2911yescharacteristic, complemented
874#399C22×C2911yescharacteristic
875#399C22×C2911yescharacteristic, complemented
876#399C22×C2911yescharacteristic, complemented
877#398C22×C2911yescharacteristic, complemented
878#398C22×C2911yescharacteristic, complemented
879#398C22×C2911yescharacteristic, complemented
880#398C22×C2911yescharacteristic, complemented
881#398C22×C2911yescharacteristic, complemented
882#397C22×C2911yescharacteristic
883#397C22×C2911yescharacteristic
884#397C22×C2911yescharacteristic
885#397C22×C2911yescharacteristic
886#397C22×C2911yescharacteristic
887#397C22×C2911yescharacteristic, complemented
888#397C22×C2911yescharacteristic, complemented
889#396C22×C2911yescharacteristic
890#396C22×C2911yescharacteristic
891#396C22×C2911yescharacteristic, complemented
892#396C22×C2911yescharacteristic, complemented
893#395C22×C2911yescharacteristic, complemented
894#394C22×C2911yescharacteristic
895#394C22×C2911yescharacteristic
896#394C22×C2911yescharacteristic
897#394C22×C2911yescharacteristic
898#394C22×C2911yescharacteristic
899#394C22×C2911yescharacteristic
900#394C22×C2911yescharacteristic, complemented
901#393C22×C2911yescharacteristic
902#392C22×C2911yescharacteristic
903#391C22×C2911yescharacteristic, complemented
904#390C22×C2911yescharacteristic
905#390C22×C2911yescharacteristic
906#390C22×C2911yescharacteristic, complemented
907#389C22×C2911yescharacteristic, complemented
908#389C22×C2911yescharacteristic, complemented
909#389C22×C2911yescharacteristic, complemented
910#389C22×C2911yescharacteristic, complemented
911#388C22×C2911yescharacteristic
912#388C22×C2911yescharacteristic
913#388C22×C2911yescharacteristic
914#388C22×C2911yescharacteristic
915#388C22×C2911yescharacteristic
916#388C22×C2911yescharacteristic
917#388C22×C2911yescharacteristic
918#388C22×C2911yescharacteristic
919#388C22×C2911yescharacteristic, complemented
920#388C22×C2911yescharacteristic, complemented
921#388C22×C2911yescharacteristic, complemented
922#388C22×C2911yescharacteristic, complemented
923#388C22×C2911yescharacteristic, complemented
924#388C22×C2911yescharacteristic, complemented
925#387C22×C2911yescharacteristic, complemented
926#387C22×C2911yescharacteristic, complemented
927#387C22×C2911yescharacteristic, complemented
928#387C22×C2911yescharacteristic, complemented
929#387C22×C2911yescharacteristic, complemented
930#387C22×C2911yescharacteristic, complemented
931#387C22×C2911yescharacteristic, complemented
932#387C22×C2911yescharacteristic, complemented
933#387C22×C2911yescharacteristic, complemented
934#387C22×C2911yescharacteristic, complemented
935#386C22×C2911yescharacteristic
936#386C22×C2911yescharacteristic
937#386C22×C2911yescharacteristic
938#386C22×C2911yescharacteristic
939#386C22×C2911yescharacteristic
940#386C22×C2911yescharacteristic
941#386C22×C2911yescharacteristic
942#386C22×C2911yescharacteristic
943#386C22×C2911yescharacteristic
944#386C22×C2911yescharacteristic
945#386C22×C2911yescharacteristic
946#386C22×C2911yescharacteristic
947#385C22×C2911yescharacteristic
948#385C22×C2911yescharacteristic
949#385C22×C2911yescharacteristic
950#385C22×C2911yescharacteristic
951#385C22×C2911yescharacteristic
952#385C22×C2911yescharacteristic
953#385C22×C2911yescharacteristic
954#385C22×C2911yescharacteristic
955#385C22×C2911yescharacteristic
956#385C22×C2911yescharacteristic
957#385C22×C2911yescharacteristic, complemented
958#385C22×C2911yescharacteristic, complemented
959#380C22×C2911yescharacteristic
960#380C22×C2911yescharacteristic
961#379C22×C2911yescharacteristic
962#379C22×C2911yescharacteristic
963C4×C4⋊C4C22×C2911yescharacteristic, complemented
964C4×C4⋊C4C22×C2911yescharacteristic, complemented
965C4×C4⋊C4C22×C2911yescharacteristic, complemented
966C4×C4⋊C4C22×C2911yescharacteristic, complemented
967C4×C4⋊C4C22×C2911yescharacteristic, complemented
968C4×C4⋊C4C22×C2911yescharacteristic, complemented
969C4×C4⋊C4C22×C2911yescharacteristic, complemented
970C4×C4⋊C4C22×C2911yescharacteristic, complemented
971C4×C22⋊C4C22×C2911yescharacteristic
972C4×C22⋊C4C22×C2911yescharacteristic
973C4×C22⋊C4C22×C2911yescharacteristic
974C4×C22⋊C4C22×C2911yescharacteristic
975C4×C22⋊C4C22×C2911yescharacteristic
976C4×C22⋊C4C22×C2911yescharacteristic
977C4×C22⋊C4C22×C2911yescharacteristic
978C4×C22⋊C4C22×C2911yescharacteristic
979C4×C22⋊C4C22×C2911yescharacteristic, complemented
980C4×C22⋊C4C22×C2911yescharacteristic, complemented
981C4×C22⋊C4C22×C2911yescharacteristic, complemented
982C4×C22⋊C4C22×C2911yescharacteristic, complemented
983C4×C22⋊C4C22×C2911yescharacteristic, complemented
984C4×C22⋊C4C22×C2911yescharacteristic, complemented
985#376C22×C2911yescharacteristic, complemented
986C43C22×C2911yescharacteristic, complemented
987C2×C29—24no—
988C2×C29—42no—
989C2×C29—42no—
990C2×C29—42no—
991C2×C29—81no—
992C2×C29C2×#52511yescharacteristic
993C2×C29C2×#52911yescharacteristic
994C2×C29#345511yescharacteristic
995C2×C29D4×#4111yescharacteristic
996C2×C29D4×#4111yescharacteristic
997C2×C29#347511yescharacteristic
998C2×C29#347511yescharacteristic
999C25C23×C2911yescharacteristic
1000C22×Q8C23×C2911yescharacteristic
1001C22×D4C23×C2911yescharacteristic
1002C22×D4C23×C2911yescharacteristic
1003C22×D4C23×C2911yescharacteristic
1004C22×D4C23×C2911yescharacteristic
1005C22×D4C23×C2911yescharacteristic
1006C22×D4C23×C2911yescharacteristic
1007C22×D4C23×C2911yescharacteristic
1008C23×C4—24no—
1009C23×C4—24no—
1010C23×C4—24no—
1011C23×C4C23×C2911yescharacteristic
1012C23×C4C23×C2911yescharacteristic
1013C23×C4C23×C2911yescharacteristic
1014C23×C4C23×C2911yescharacteristic
1015C23×C4C23×C2911yescharacteristic
1016C23×C4C23×C2911yescharacteristic
1017C23×C4C23×C2911yescharacteristic
1018C23×C4C23×C2911yescharacteristic
1019C23×C4C23×C2911yescharacteristic
1020C23×C4C23×C2911yescharacteristic
1021C23×C4C23×C2911yescharacteristic
1022C23×C4C23×C2911yescharacteristic
1023C23×C4C23×C2911yescharacteristic
1024C23×C4C23×C2911yescharacteristic
1025#126—24no—
1026#126—24no—
1027#125—24no—
1028#124—24no—
1029#123—24no—
1030#123—24no—
1031C22⋊Q8—24no—
1032C22⋊Q8—24no—
1033#121—24no—
1034#121—24no—
1035#120—24no—
1036#120—24no—
1037C4×Q8—24no—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—24no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—24no—
1047#117—24no—
1048#117—24no—
1049#117—24no—
1050#117—24no—
1051#117—24no—
1052#117—24no—
1053#117—24no—
1054#117—24no—
1055#117D4×C2918yescomplemented
1056C2×C4⋊C4—24no—
1057C2×C4⋊C4—24no—
1058C2×C4⋊C4C23×C2911yescharacteristic
1059C2×C4⋊C4C23×C2911yescharacteristic
1060C2×C4⋊C4C23×C2911yescharacteristic
1061C2×C4⋊C4C23×C2911yescharacteristic
1062C2×C4⋊C4C23×C2911yescharacteristic
1063C2×C4⋊C4C23×C2911yescharacteristic
1064C2×C4⋊C4C23×C2911yescharacteristic
1065C2×C4⋊C4C23×C2911yescharacteristic
1066C2×C4⋊C4C23×C2911yescharacteristic
1067C2×C4⋊C4C23×C2911yescharacteristic
1068C2×C4⋊C4C23×C2911yescharacteristic
1069C2×C4⋊C4C23×C2911yescharacteristic
1070C2×C4⋊C4C23×C2911yescharacteristic
1071C2×C4⋊C4C23×C2911yescharacteristic
1072C2×C4⋊C4C23×C2911yescharacteristic
1073C2×C4⋊C4C23×C2911yescharacteristic
1074C2×C4⋊C4C23×C2911yescharacteristic
1075C2×C4⋊C4C23×C2911yescharacteristic
1076C2×C4⋊C4C23×C2911yescharacteristic
1077C2×C4⋊C4C23×C2911yescharacteristic
1078C2×C4⋊C4C23×C2911yescharacteristic
1079C2×C4⋊C4C23×C2911yescharacteristic
1080C2×C4⋊C4C23×C2911yescharacteristic
1081C2×C4⋊C4C23×C2911yescharacteristic
1082C2×C4⋊C4C23×C2911yescharacteristic
1083C2×C4⋊C4C23×C2911yescharacteristic
1084C2×C4⋊C4C23×C2911yescharacteristic
1085C2×C4⋊C4C23×C2911yescharacteristic
1086C2×C4⋊C4C23×C2911yescharacteristic
1087C2×C4⋊C4C23×C2911yescharacteristic
1088C2×C4⋊C4C23×C2911yescharacteristic
1089C2×C4⋊C4C23×C2911yescharacteristic
1090C2×C22⋊C4—24no—
1091C2×C22⋊C4—24no—
1092C2×C22⋊C4C23×C2911yescharacteristic
1093C2×C22⋊C4C23×C2911yescharacteristic
1094C2×C22⋊C4C23×C2911yescharacteristic
1095C2×C22⋊C4C23×C2911yescharacteristic
1096C2×C22⋊C4C23×C2911yescharacteristic
1097C2×C22⋊C4C23×C2911yescharacteristic
1098C2×C22⋊C4C23×C2911yescharacteristic
1099C2×C22⋊C4C23×C2911yescharacteristic
1100C2×C22⋊C4C23×C2911yescharacteristic
1101C2×C22⋊C4C23×C2911yescharacteristic
1102C2×C22⋊C4C23×C2911yescharacteristic
1103C2×C22⋊C4C23×C2911yescharacteristic
1104C2×C22⋊C4C23×C2911yescharacteristic
1105C2×C22⋊C4C23×C2911yescharacteristic
1106C2×C22⋊C4C23×C2911yescharacteristic
1107C2×C22⋊C4C23×C2911yescharacteristic
1108C2×C22⋊C4C23×C2911yescharacteristic
1109C2×C22⋊C4C23×C2911yescharacteristic
1110C2×C22⋊C4C23×C2911yescharacteristic
1111C2×C22⋊C4C23×C2911yescharacteristic
1112C2×C22⋊C4C23×C2911yescharacteristic
1113C2×C22⋊C4C23×C2911yescharacteristic
1114C2×C22⋊C4C23×C2911yescharacteristic
1115C2×C22⋊C4C23×C2911yescharacteristic
1116C2×C22⋊C4C23×C2911yescharacteristic
1117C2×C22⋊C4C23×C2911yescharacteristic
1118C2×C22⋊C4C23×C2911yescharacteristic
1119C2×C22⋊C4C23×C2911yescharacteristic
1120C2×C22⋊C4C23×C2911yescharacteristic
1121C2×C22⋊C4C23×C2911yescharacteristic
1122C2×C22⋊C4C23×C2911yescharacteristic
1123C2×C22⋊C4C23×C2911yescharacteristic
1124C2×C22⋊C4C23×C2911yescharacteristic
1125C2×C22⋊C4C23×C2911yescharacteristic
1126C2×C22⋊C4C23×C2911yescharacteristic
1127C2×C22⋊C4C23×C2911yescharacteristic
1128C2×C22⋊C4C23×C2911yescharacteristic
1129C2×C22⋊C4C23×C2911yescharacteristic
1130C2×C22⋊C4C23×C2911yescharacteristic
1131C2×C22⋊C4C23×C2911yescharacteristic
1132C2×C22⋊C4C23×C2911yescharacteristic
1133C2×C22⋊C4C23×C2911yescharacteristic
1134C2×C22⋊C4C23×C2911yescharacteristic
1135C2×C22⋊C4C23×C2911yescharacteristic
1136C2×C42—24no—
1137C2×C42—24no—
1138C2×C42—24no—
1139C2×C42C23×C2911yescharacteristic
1140C2×C42C23×C2911yescharacteristic
1141C2×C42C23×C2911yescharacteristic
1142C2×C42C23×C2911yescharacteristic
1143C2×C42C23×C2911yescharacteristic
1144C2×C42C23×C2911yescharacteristic
1145C2×C42C23×C2911yescharacteristic
1146C2×C42C23×C2911yescharacteristic
1147C2×C42C23×C2911yescharacteristic
1148C2×C42C23×C2911yescharacteristic
1149C2×C42C23×C2911yescharacteristic
1150C2×C42C23×C2911yescharacteristic
1151C2×C42C23×C2911yescharacteristic
1152C2×C42C23×C2911yescharacteristic
1153C2×C42C23×C2911yescharacteristic
1154C2×C42C23×C2911yescharacteristic
1155C2×C42C23×C2911yescharacteristic
1156C2×C42C23×C2911yescharacteristic
1157C2×C42C23×C2911yescharacteristic
1158C2×C42C23×C2911yescharacteristic
1159#95C23×C2911yescharacteristic
1160#95C23×C2911yescharacteristic
1161#95C23×C2911yescharacteristic
1162#95C23×C2911yescharacteristic
1163#95C23×C2911yescharacteristic
1164#95C23×C2911yescharacteristic
1165#95C23×C2911yescharacteristic
1166#95C23×C2911yescharacteristic
1167#95C23×C2911yescharacteristic
1168#95C23×C2911yescharacteristic
1169#95C23×C2911yescharacteristic
1170#95C23×C2911yescharacteristic
1171#95C23×C2911yescharacteristic
1172#95C23×C2911yescharacteristic
1173#95C23×C2911yescharacteristic
1174#95C23×C2911yescharacteristic
1175#95C23×C2911yescharacteristic
1176#95C23×C2911yescharacteristic
1177#95C23×C2911yescharacteristic
1178#95C23×C2911yescharacteristic
1179#95C23×C2911yescharacteristic
1180#95C23×C2911yescharacteristic
1181#95C23×C2911yescharacteristic
1182#95C23×C2911yescharacteristic
1183#95C23×C2911yescharacteristic
1184#95C23×C2911yescharacteristic
1185#95C23×C2911yescharacteristic
1186#95C23×C2911yescharacteristic
1187#95C23×C2911yescharacteristic
1188#95C23×C2911yescharacteristic
1189#95C23×C2911yescharacteristic
1190#95C23×C2911yescharacteristic
1191#95C23×C2911yescharacteristic
1192#95C23×C2911yescharacteristic
1193#95C23×C2911yescharacteristic
1194#95C23×C2911yescharacteristic
1195C29#3474011yescharacteristic, direct product factor, Sylow
1196C24—22no—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—22no—
1201C24—41no—
1202C24—41no—
1203C24C24×C2911yescharacteristic
1204C24C24×C2911yescharacteristic
1205C24C24×C2911yescharacteristic
1206C24C24×C2911yescharacteristic
1207C24C24×C2911yescharacteristic
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—41no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4#41×C2914yes—
1232C22×C4—232no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4C2×D4×C2914yes—
1273C22×C4#41×C2914yes—
1274C22×C4#41×C2914yes—
1275C22×C4C24×C2911yescharacteristic
1276C22×C4C24×C2911yescharacteristic
1277C22×C4C24×C2911yescharacteristic
1278C22×C4C24×C2911yescharacteristic
1279C22×C4C24×C2911yescharacteristic
1280C22×C4C24×C2911yescharacteristic
1281C22×C4C24×C2911yescharacteristic
1282C22×C4C24×C2911yescharacteristic
1283C22×C4C24×C2911yescharacteristic
1284C22×C4C24×C2911yescharacteristic
1285C22×C4C24×C2911yescharacteristic
1286C22×C4C24×C2911yescharacteristic
1287C22×C4C24×C2911yescharacteristic
1288C22×C4C24×C2911yescharacteristic
1289C22×C4C24×C2911yescharacteristic
1290C22×C4C24×C2911yescharacteristic
1291C22×C4C24×C2911yescharacteristic
1292C22×C4C24×C2911yescharacteristic
1293C22×C4C24×C2911yescharacteristic
1294C22×C4C24×C2911yescharacteristic
1295C22×C4C24×C2911yescharacteristic
1296C22×C4C24×C2911yescharacteristic
1297C22×C4C24×C2911yescharacteristic
1298C22×C4C24×C2911yescharacteristic
1299C22×C4C24×C2911yescharacteristic
1300C22×C4C24×C2911yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4C2×D4×C2914yes—
1332C4⋊C4C2×D4×C2914yes—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4C2×D4×C2914yes—
1375C22⋊C4C2×D4×C2914yes—
1376C22⋊C4#41×C2914yes—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—41no—
1394C42—41no—
1395C42C2×D4×C2914yes—
1396C42C2×D4×C2914yes—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—28no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23C22×D4×C2912yes—
1434C23C2×#41×C2912yes—
1435C23C2×#41×C2912yes—
1436C23C2×#41×C2912yes—
1437C23C2×#41×C2912yes—
1438C23C2×#41×C2912yes—
1439C23C25×C2911yescharacteristic
1440Q8—44no—
1441D4—28no—
1442D4—44no—
1443D4—44no—
1444D4—44no—
1445D4—44no—
1446D4—44no—
1447D4—44no—
1448C2×C4—28no—
1449C2×C4—28no—
1450C2×C4—28no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—28no—
1472C2×C4—28no—
1473C2×C4—28no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4C22×D4×C2912yes—
1528C2×C4C22×D4×C2912yes—
1529C2×C4C22×D4×C2912yes—
1530C2×C4C22×D4×C2912yes—
1531C2×C4C22×D4×C2912yes—
1532C2×C4C22×D4×C2912yes—
1533C2×C4C2×#41×C2912yes—
1534C2×C4C2×#41×C2912yes—
1535C2×C4C2×#41×C2912yes—
1536C2×C4C2×#41×C2912yes—
1537C2×C4C2×#41×C2912yes—
1538C2×C4C2×#41×C2912yes—
1539C2×C4C2×#41×C2912yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—416no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22C29×#52914yescomplemented
1576C22C23×D4×C2911yescharacteristic
1577C22C22×#41×C2911yescharacteristic
1578C22C22×#41×C2911yescharacteristic
1579C22C22×#41×C2911yescharacteristic
1580C22C22×#41×C2911yescharacteristic
1581C22C29×#58511yescharacteristic
1582C22C29×#58511yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4C29×#52514yes—
1609C2—24no—
1610C2—42no—
1611C2—42no—
1612C2—42no—
1613C2—81no—
1614C2C2×C29×#52511yescharacteristic
1615C2C2×C29×#52911yescharacteristic
1616C2C29×#345511yescharacteristic
1617C2D4×#41×C2911yescharacteristic
1618C2D4×#41×C2911yescharacteristic
1619C2C29×#347511yescharacteristic
1620C2C29×#347511yescharacteristic
subgroupG/H
centerC22×C4×C29C24
commutator, Frattini, cosocleC23C25×C29
socleC23×C29C25
prime radicalC29×#2424C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C29×#529C2semidirect
2. C22×C29×#117C2semidirect
3. C29×#2481C2semidirect
4. C29×#2480C2semidirect
5. C29×#2479C2semidirect
6. C29×#2478C2semidirect
7. C29×#2477C2semidirect
8. C29×#2476C2semidirect
9. C29×#2475C2semidirect
10. C29×#2474C2semidirect
11. C29×#2473C2semidirect
12. C29×#2472C2semidirect
13. C29×#2471C2semidirect
14. C29×#2470C2semidirect
15. C29×#2449C2semidirect
16. C29×#2443C2semidirect
18. C29×#2418C2semidirect
19. C29×#2396C2semidirect
20. C29×#2395C2semidirect
21. C29×#2395C2semidirect
22. C29×#2392C2semidirect
23. C4×C29×C22⋊Q8C2semidirect
24. C4×C29×#121C2semidirect
25. C4×C29×#120C2semidirect
26. C4×C29×#120C2semidirect
27. C29×#2298C2semidirect
28. C29×#2293C2semidirect
29. C29×#2290C2semidirect
30. C29×#2290C2semidirect
31. C42×D4×C29C2semidirect
35. C2×C29×#126C22semidirect
36. C2×C29×#125C22semidirect
39. C2×C29×#123C22semidirect
41. C2×C29×C22⋊Q8C22semidirect
46. C2×C4×Q8×C29C22semidirect
55. C2×C4×D4×C29C22semidirect
65. C2×C29×#117C22semidirect
72. C22×C42×C29C22semidirect
73. C29×#400C22semidirect
74. C29×#400C22semidirect
75. C29×#400C22semidirect
77. C29×#399C22semidirect
78. C29×#399C22semidirect
79. C29×#398C22semidirect
80. C29×#398C22semidirect
81. C29×#398C22semidirect
82. C29×#398C22semidirect
83. C29×#398C22semidirect
89. C29×#397C22semidirect
90. C29×#397C22semidirect
93. C29×#396C22semidirect
94. C29×#396C22semidirect
95. C29×#395C22semidirect
102. C29×#394C22semidirect
105. C29×#391C22semidirect
108. C29×#390C22semidirect
109. C29×#389C22semidirect
110. C29×#389C22semidirect
111. C29×#389C22semidirect
112. C29×#389C22semidirect
121. C29×#388C22semidirect
122. C29×#388C22semidirect
123. C29×#388C22semidirect
124. C29×#388C22semidirect
125. C29×#388C22semidirect
126. C29×#388C22semidirect
127. C29×#387C22semidirect
128. C29×#387C22semidirect
129. C29×#387C22semidirect
130. C29×#387C22semidirect
131. C29×#387C22semidirect
132. C29×#387C22semidirect
133. C29×#387C22semidirect
134. C29×#387C22semidirect
135. C29×#387C22semidirect
136. C29×#387C22semidirect
159. C29×#385C22semidirect
160. C29×#385C22semidirect
165. C4×C4⋊C4×C29C22semidirect
166. C4×C4⋊C4×C29C22semidirect
167. C4×C4⋊C4×C29C22semidirect
168. C4×C4⋊C4×C29C22semidirect
169. C4×C4⋊C4×C29C22semidirect
170. C4×C4⋊C4×C29C22semidirect
171. C4×C4⋊C4×C29C22semidirect
172. C4×C4⋊C4×C29C22semidirect
181. C4×C22⋊C4×C29C22semidirect
182. C4×C22⋊C4×C29C22semidirect
183. C4×C22⋊C4×C29C22semidirect
184. C4×C22⋊C4×C29C22semidirect
185. C4×C22⋊C4×C29C22semidirect
186. C4×C22⋊C4×C29C22semidirect
187. C29×#376C22semidirect
188. C43×C29C22semidirect
245. C29×#117D4semidirect
586. #34740C29direct (N × H)
730. C2×#529C2×C29semidirect
731. C22×#117C2×C29semidirect
732. #2481C2×C29semidirect
733. #2480C2×C29semidirect
734. #2479C2×C29semidirect
735. #2478C2×C29semidirect
736. #2477C2×C29semidirect
737. #2476C2×C29semidirect
738. #2475C2×C29semidirect
739. #2474C2×C29semidirect
740. #2473C2×C29semidirect
741. #2472C2×C29semidirect
742. #2471C2×C29semidirect
743. #2470C2×C29semidirect
744. #2449C2×C29semidirect
745. #2443C2×C29semidirect
747. #2418C2×C29semidirect
748. #2396C2×C29semidirect
749. #2395C2×C29semidirect
750. #2395C2×C29semidirect
751. #2392C2×C29semidirect
752. C4×C22⋊Q8C2×C29semidirect
753. C4×#121C2×C29semidirect
754. C4×#120C2×C29semidirect
755. C4×#120C2×C29semidirect
756. #2298C2×C29semidirect
757. #2293C2×C29semidirect
758. #2290C2×C29semidirect
759. #2290C2×C29semidirect
760. C42×D4C2×C29semidirect
796. C22×C29#529semidirect
833. C2×#126C22×C29semidirect
834. C2×#125C22×C29semidirect
837. C2×#123C22×C29semidirect
839. C2×C22⋊Q8C22×C29semidirect
844. C2×C4×Q8C22×C29semidirect
853. C2×C4×D4C22×C29semidirect
863. C2×#117C22×C29semidirect
870. C22×C42C22×C29semidirect
871. #400C22×C29semidirect
872. #400C22×C29semidirect
873. #400C22×C29semidirect
875. #399C22×C29semidirect
876. #399C22×C29semidirect
877. #398C22×C29semidirect
878. #398C22×C29semidirect
879. #398C22×C29semidirect
880. #398C22×C29semidirect
881. #398C22×C29semidirect
887. #397C22×C29semidirect
888. #397C22×C29semidirect
891. #396C22×C29semidirect
892. #396C22×C29semidirect
893. #395C22×C29semidirect
900. #394C22×C29semidirect
903. #391C22×C29semidirect
906. #390C22×C29semidirect
907. #389C22×C29semidirect
908. #389C22×C29semidirect
909. #389C22×C29semidirect
910. #389C22×C29semidirect
919. #388C22×C29semidirect
920. #388C22×C29semidirect
921. #388C22×C29semidirect
922. #388C22×C29semidirect
923. #388C22×C29semidirect
924. #388C22×C29semidirect
925. #387C22×C29semidirect
926. #387C22×C29semidirect
927. #387C22×C29semidirect
928. #387C22×C29semidirect
929. #387C22×C29semidirect
930. #387C22×C29semidirect
931. #387C22×C29semidirect
932. #387C22×C29semidirect
933. #387C22×C29semidirect
934. #387C22×C29semidirect
957. #385C22×C29semidirect
958. #385C22×C29semidirect
963. C4×C4⋊C4C22×C29semidirect
964. C4×C4⋊C4C22×C29semidirect
965. C4×C4⋊C4C22×C29semidirect
966. C4×C4⋊C4C22×C29semidirect
967. C4×C4⋊C4C22×C29semidirect
968. C4×C4⋊C4C22×C29semidirect
969. C4×C4⋊C4C22×C29semidirect
970. C4×C4⋊C4C22×C29semidirect
979. C4×C22⋊C4C22×C29semidirect
980. C4×C22⋊C4C22×C29semidirect
981. C4×C22⋊C4C22×C29semidirect
982. C4×C22⋊C4C22×C29semidirect
983. C4×C22⋊C4C22×C29semidirect
984. C4×C22⋊C4C22×C29semidirect
985. #376C22×C29semidirect
986. C43C22×C29semidirect
1055. #117D4×C29semidirect
1195. C29#34740direct (N × H)
1575. C22C29×#529semidirect

Maximal subgroups

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

subgroupindex
C2×C29×#5292
C22×C29×#1172
C29×#24812
C29×#24802
C29×#24792
C29×#24782
C29×#24772
C29×#24762
C29×#24752
C29×#24742
C29×#24732
C29×#24722
C29×#24712
C29×#24702
C29×#24492
C29×#24432
C29×#24242
C29×#24182
C29×#23962
C29×#23952
C29×#23922
C4×C29×C22⋊Q82
C4×C29×#1212
C4×C29×#1202
C29×#22982
C29×#22932
C29×#22902
C42×D4×C292
#3474029