Finite Group Databasebeta

← C29×#36713 #20331613

Subgroups — C29×#36713 #20331613

Order 7424.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C29×#540C211yesmaximal, characteristic, complemented
2C2×C29×#525C211yesmaximal, characteristic, complemented
3C29×#2849C211yesmaximal, characteristic, complemented
4C29×#2847C211yesmaximal, characteristic, complemented
5C29×#2694C211yesmaximal, characteristic, complemented
6C29×#2693C211yesmaximal, characteristic, complemented
7C29×#2690C211yesmaximal, characteristic, complemented
8C29×#2688C211yesmaximal, characteristic, complemented
9C29×#2687C211yesmaximal, characteristic, complemented
10C29×#2678C211yesmaximal, characteristic, complemented
11C29×#2676C211yesmaximal, characteristic, complemented
12C29×#2675C211yesmaximal, characteristic, complemented
13C29×#2673C211yesmaximal, characteristic, complemented
14C29×#2673C211yesmaximal, characteristic, complemented
15C29×#2672C211yesmaximal, characteristic, complemented
16C29×#2671C211yesmaximal, characteristic, complemented
17C29×#2671C211yesmaximal, characteristic, complemented
18C29×#2669C211yesmaximal, characteristic, complemented
19C29×#2669C211yesmaximal, characteristic, complemented
20C29×#2668C211yesmaximal, characteristic, complemented
21C29×#2635C211yesmaximal, characteristic, complemented
22C29×#2630C211yesmaximal, characteristic, complemented
23C29×#2609C211yesmaximal, characteristic, complemented
24C29×#2602C211yesmaximal, characteristic, complemented
25C29×#2598C211yesmaximal, characteristic, complemented
26C29×#2598C211yesmaximal, characteristic, complemented
27C29×#2543C211yesmaximal, characteristic, complemented
28C29×#2535C211yesmaximal, characteristic, complemented
29C29×#2431C211yesmaximal, characteristic, complemented
30C29×#2430C211yesmaximal, characteristic, complemented
31C29×#2318C211yesmaximal, characteristic, complemented
32C22×#41×C29C2211yescharacteristic
33C24×C4×C29C2211yescharacteristic
34C29×#540—28no—
35C2×C29×#127C2211yescharacteristic
36C2×C29×#127C2211yescharacteristic
37C2×C29×#125C2211yescharacteristic, complemented
38C2×C29×#124C2211yescharacteristic, complemented
39C29×#525—28no—
40C2×C29×#123C2211yescharacteristic
41C2×C29×#123C2211yescharacteristic
42C2×C29×#123C2211yescharacteristic
43C2×C29×#123C2211yescharacteristic
44C2×C29×#123C2211yescharacteristic
45C2×C29×#123C2211yescharacteristic, complemented
46C2×C29×#123C2211yescharacteristic, complemented
47C2×C29×C22⋊Q8C2211yescharacteristic
48C2×C29×C22⋊Q8C2211yescharacteristic
49C2×C29×#121C2211yescharacteristic
50C2×C29×#121C2211yescharacteristic
51C2×C29×#121C2211yescharacteristic
52C2×C29×#121C2211yescharacteristic
53C2×C29×#121C2211yescharacteristic
54C2×C29×#121C2211yescharacteristic
55C2×C29×#121C2211yescharacteristic
56C2×C29×#121C2211yescharacteristic
57C2×C29×#121C2211yescharacteristic
58C2×C29×#121C2211yescharacteristic
59C2×C29×#121C2211yescharacteristic
60C2×C29×#121C2211yescharacteristic
61C2×C29×#121C2211yescharacteristic, complemented
62C2×C29×#121C2211yescharacteristic, complemented
63C2×C29×#121C2211yescharacteristic, complemented
64C2×C29×#121C2211yescharacteristic, complemented
65C2×C29×#120C2211yescharacteristic
66C2×C29×#120C2211yescharacteristic
67C2×C29×#120C2211yescharacteristic
68C2×C29×#120C2211yescharacteristic
69C2×C29×#120C2211yescharacteristic
70C2×C4×D4×C29C2211yescharacteristic
71C2×C4×D4×C29C2211yescharacteristic
72C2×C4×D4×C29C2211yescharacteristic
73C2×C4×D4×C29C2211yescharacteristic
74C2×C4×D4×C29C2211yescharacteristic, complemented
75C2×C29×#117C2211yescharacteristic
76C2×C29×#117C2211yescharacteristic, complemented
77C29×#400C2211yescharacteristic, complemented
78C29×#400C2211yescharacteristic, complemented
79C29×#400C2211yescharacteristic, complemented
80C29×#399C2211yescharacteristic
81C29×#399C2211yescharacteristic, complemented
82C29×#399C2211yescharacteristic, complemented
83C29×#398C2211yescharacteristic, complemented
84C29×#398C2211yescharacteristic, complemented
85C29×#398C2211yescharacteristic, complemented
86C29×#397C2211yescharacteristic
87C29×#397C2211yescharacteristic
88C29×#397C2211yescharacteristic
89C29×#397C2211yescharacteristic, complemented
90C29×#397C2211yescharacteristic, complemented
91C29×#396C2211yescharacteristic
92C29×#396C2211yescharacteristic, complemented
93C29×#396C2211yescharacteristic, complemented
94C29×#396C2211yescharacteristic, complemented
95C29×#395C2211yescharacteristic, complemented
96C29×#394C2211yescharacteristic
97C29×#394C2211yescharacteristic
98C29×#394C2211yescharacteristic
99C29×#394C2211yescharacteristic
100C29×#394C2211yescharacteristic
101C29×#394C2211yescharacteristic
102C29×#394C2211yescharacteristic
103C29×#394C2211yescharacteristic
104C29×#394C2211yescharacteristic, complemented
105C29×#394C2211yescharacteristic, complemented
106C29×#394C2211yescharacteristic, complemented
107C29×#394C2211yescharacteristic, complemented
108C29×#394C2211yescharacteristic, complemented
109C29×#393C2211yescharacteristic, complemented
110C29×#392C2211yescharacteristic
111C29×#392C2211yescharacteristic
112C29×#392C2211yescharacteristic
113C29×#392C2211yescharacteristic
114C29×#392C2211yescharacteristic
115C29×#392C2211yescharacteristic
116C29×#392C2211yescharacteristic
117C29×#392C2211yescharacteristic
118C29×#392C2211yescharacteristic
119C29×#392C2211yescharacteristic
120C29×#392C2211yescharacteristic
121C29×#392C2211yescharacteristic, complemented
122C29×#392C2211yescharacteristic, complemented
123C29×#392C2211yescharacteristic, complemented
124C29×#392C2211yescharacteristic, complemented
125C29×#391C2211yescharacteristic, complemented
126C29×#390C2211yescharacteristic
127C29×#390C2211yescharacteristic
128C29×#389C2211yescharacteristic, complemented
129C29×#388C2211yescharacteristic
130C29×#388C2211yescharacteristic
131C29×#388C2211yescharacteristic
132C29×#388C2211yescharacteristic
133C29×#388C2211yescharacteristic
134C29×#388C2211yescharacteristic, complemented
135C29×#388C2211yescharacteristic, complemented
136C29×#388C2211yescharacteristic, complemented
137C29×#388C2211yescharacteristic, complemented
138C29×#388C2211yescharacteristic, complemented
139C29×#387C2211yescharacteristic, complemented
140C29×#387C2211yescharacteristic, complemented
141C29×#387C2211yescharacteristic, complemented
142C29×#387C2211yescharacteristic, complemented
143C29×#386C2211yescharacteristic
144C29×#386C2211yescharacteristic
145C29×#386C2211yescharacteristic
146C29×#386C2211yescharacteristic
147C29×#386C2211yescharacteristic
148C29×#386C2211yescharacteristic
149C29×#386C2211yescharacteristic
150C29×#386C2211yescharacteristic
151C29×#386C2211yescharacteristic
152C29×#386C2211yescharacteristic
153C29×#386C2211yescharacteristic
154C29×#386C2211yescharacteristic
155C29×#386C2211yescharacteristic
156C29×#386C2211yescharacteristic
157C29×#386C2211yescharacteristic
158C29×#386C2211yescharacteristic
159C29×#386C2211yescharacteristic
160C29×#386C2211yescharacteristic, complemented
161C29×#386C2211yescharacteristic, complemented
162C29×#386C2211yescharacteristic, complemented
163C29×#386C2211yescharacteristic, complemented
164C29×#386C2211yescharacteristic, complemented
165C29×#386C2211yescharacteristic, complemented
166C29×#386C2211yescharacteristic, complemented
167C29×#385C2211yescharacteristic
168C29×#385C2211yescharacteristic
169C29×#385C2211yescharacteristic
170C29×#385C2211yescharacteristic
171C29×#385C2211yescharacteristic, complemented
172C29×#385C2211yescharacteristic, complemented
173C29×#385C2211yescharacteristic, complemented
174C29×#385C2211yescharacteristic, complemented
175C29×#385C2211yescharacteristic, complemented
176C29×#385C2211yescharacteristic, complemented
177C29×#383C2211yescharacteristic, complemented
178C29×#382C2211yescharacteristic, complemented
179C29×#381C2211yescharacteristic
180C29×#381C2211yescharacteristic
181C29×#380C2211yescharacteristic
182C29×#380C2211yescharacteristic
183C29×#380C2211yescharacteristic
184C29×#380C2211yescharacteristic, complemented
185C29×#380C2211yescharacteristic, complemented
186C29×#379C2211yescharacteristic
187C4×C22⋊C4×C29C2211yescharacteristic, complemented
188C2×C29×#95C2211yescharacteristic, complemented
189C25×C29C2311yescharacteristic
190C2×#41×C29—24no—
191C2×#41×C29—42no—
192C2×#41×C29—42no—
193C22×Q8×C29C2311yescharacteristic
194C22×D4×C29C2311yescharacteristic
195C22×D4×C29C2311yescharacteristic
196C22×D4×C29C2311yescharacteristic
197C22×D4×C29C2311yescharacteristic
198C22×D4×C29C2311yescharacteristic
199C22×D4×C29C2311yescharacteristic
200C22×D4×C29C2311yescharacteristic
201C22×D4×C29C2311yescharacteristic
202C22×D4×C29C2311yescharacteristic
203C22×D4×C29C2311yescharacteristic
204C22×D4×C29C2311yescharacteristic
205C22×D4×C29C2311yescharacteristic
206C22×D4×C29C2311yescharacteristic
207C22×D4×C29C2311yescharacteristic
208C22×D4×C29C2311yescharacteristic
209C22×D4×C29C2311yescharacteristic
210C22×D4×C29C2311yescharacteristic
211C22×D4×C29C2311yescharacteristic
212C22×D4×C29C2311yescharacteristic
213C22×D4×C29C2311yescharacteristic
214C22×D4×C29C2311yescharacteristic
215C22×D4×C29C2311yescharacteristic
216C22×D4×C29C2311yescharacteristic
217C22×D4×C29C2311yescharacteristic
218C22×D4×C29C2311yescharacteristic
219C23×C4×C29—24no—
220C23×C4×C29—42no—
221C23×C4×C29—42no—
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
232C23×C4×C29C2311yescharacteristic
233C23×C4×C29C2311yescharacteristic
234C23×C4×C29C2311yescharacteristic
235C29×#127—24no—
236C29×#127—42no—
237C29×#125—24no—
238C29×#124—42no—
239C29×#123—24no—
240C29×#123—24no—
241C29×#123—24no—
242C29×#123—24no—
243C29×#123—24no—
244C29×#123—24no—
245C29×#123—42no—
246C29×C22⋊Q8—24no—
247C29×C22⋊Q8—24no—
248C29×#121—24no—
249C29×#121—24no—
250C29×#121—24no—
251C29×#121—24no—
252C29×#121—24no—
253C29×#121—24no—
254C29×#121—24no—
255C29×#121—24no—
256C29×#121—42no—
257C29×#121—42no—
258C29×#121—42no—
259C29×#121—42no—
260C29×#121—42no—
261C29×#121—42no—
262C29×#121—42no—
263C29×#121—42no—
264C29×#120—24no—
265C29×#120—24no—
266C29×#120—42no—
267C29×#120—42no—
268C29×#120—42no—
269C4×D4×C29—24no—
270C4×D4×C29—24no—
271C4×D4×C29—24no—
272C4×D4×C29—24no—
273C4×D4×C29D418yescomplemented
274C29×#117—24no—
275C29×#117—24no—
276C2×C4⋊C4×C29C2311yescharacteristic
277C2×C4⋊C4×C29C2311yescharacteristic
278C2×C4⋊C4×C29C2311yescharacteristic
279C2×C4⋊C4×C29C2311yescharacteristic
280C2×C4⋊C4×C29C2311yescharacteristic
281C2×C4⋊C4×C29C2311yescharacteristic
282C2×C4⋊C4×C29C2311yescharacteristic
283C2×C4⋊C4×C29C2311yescharacteristic
284C2×C4⋊C4×C29C2311yescharacteristic
285C2×C4⋊C4×C29C2311yescharacteristic
286C2×C4⋊C4×C29C2311yescharacteristic
287C2×C4⋊C4×C29C2311yescharacteristic
288C2×C4⋊C4×C29C2311yescharacteristic
289C2×C4⋊C4×C29C2311yescharacteristic
290C2×C4⋊C4×C29C2311yescharacteristic
291C2×C4⋊C4×C29C2311yescharacteristic
292C2×C4⋊C4×C29C2311yescharacteristic
293C2×C4⋊C4×C29C2311yescharacteristic
294C2×C4⋊C4×C29C2311yescharacteristic
295C2×C4⋊C4×C29C2311yescharacteristic
296C2×C4⋊C4×C29C2311yescharacteristic
297C2×C4⋊C4×C29C2311yescharacteristic
298C2×C4⋊C4×C29C2311yescharacteristic
299C2×C4⋊C4×C29C2311yescharacteristic
300C2×C22⋊C4×C29C2311yescharacteristic
301C2×C22⋊C4×C29C2311yescharacteristic
302C2×C22⋊C4×C29C2311yescharacteristic
303C2×C22⋊C4×C29C2311yescharacteristic
304C2×C22⋊C4×C29C2311yescharacteristic
305C2×C22⋊C4×C29C2311yescharacteristic
306C2×C22⋊C4×C29C2311yescharacteristic
307C2×C22⋊C4×C29C2311yescharacteristic
308C2×C22⋊C4×C29C2311yescharacteristic
309C2×C22⋊C4×C29C2311yescharacteristic
310C2×C22⋊C4×C29C2311yescharacteristic
311C2×C22⋊C4×C29C2311yescharacteristic
312C2×C22⋊C4×C29C2311yescharacteristic
313C2×C22⋊C4×C29C2311yescharacteristic
314C2×C22⋊C4×C29C2311yescharacteristic
315C2×C22⋊C4×C29C2311yescharacteristic
316C2×C22⋊C4×C29C2311yescharacteristic
317C2×C22⋊C4×C29C2311yescharacteristic
318C2×C22⋊C4×C29C2311yescharacteristic
319C2×C22⋊C4×C29C2311yescharacteristic
320C2×C22⋊C4×C29C2311yescharacteristic
321C2×C22⋊C4×C29C2311yescharacteristic
322C2×C22⋊C4×C29C2311yescharacteristic
323C2×C22⋊C4×C29C2311yescharacteristic
324C2×C22⋊C4×C29C2311yescharacteristic
325C2×C22⋊C4×C29C2311yescharacteristic
326C2×C22⋊C4×C29C2311yescharacteristic
327C2×C22⋊C4×C29C2311yescharacteristic
328C2×C22⋊C4×C29C2311yescharacteristic
329C2×C22⋊C4×C29C2311yescharacteristic
330C2×C22⋊C4×C29C2311yescharacteristic
331C2×C22⋊C4×C29C2311yescharacteristic
332C2×C22⋊C4×C29C2311yescharacteristic
333C2×C22⋊C4×C29C2311yescharacteristic
334C2×C22⋊C4×C29C2311yescharacteristic
335C2×C22⋊C4×C29C2311yescharacteristic
336C2×C22⋊C4×C29C2311yescharacteristic
337C2×C22⋊C4×C29C2311yescharacteristic
338C2×C22⋊C4×C29C2311yescharacteristic
339C2×C22⋊C4×C29C2311yescharacteristic
340C2×C22⋊C4×C29C2311yescharacteristic
341C2×C22⋊C4×C29C2311yescharacteristic
342C2×C22⋊C4×C29C2311yescharacteristic
343C2×C22⋊C4×C29C2311yescharacteristic
344C2×C22⋊C4×C29C2311yescharacteristic
345C2×C22⋊C4×C29C2311yescharacteristic
346C2×C22⋊C4×C29C2311yescharacteristic
347C2×C22⋊C4×C29C2311yescharacteristic
348C2×C22⋊C4×C29C2311yescharacteristic
349C2×C22⋊C4×C29C2311yescharacteristic
350C2×C22⋊C4×C29C2311yescharacteristic
351C2×C22⋊C4×C29C2311yescharacteristic
352C2×C22⋊C4×C29C2311yescharacteristic
353C2×C22⋊C4×C29C2311yescharacteristic
354C2×C42×C29C2311yescharacteristic
355C2×C42×C29C2311yescharacteristic
356C2×C42×C29C2311yescharacteristic
357C2×C42×C29C2311yescharacteristic
358C2×C42×C29C2311yescharacteristic
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
385C29×#95C2311yescharacteristic
386C29×#95C2311yescharacteristic
387C29×#95C2311yescharacteristic
388C29×#95C2311yescharacteristic
389C29×#95C2311yescharacteristic
390C29×#95C2311yescharacteristic
391C24×C29—22no—
392C24×C29—22no—
393C24×C29—22no—
394C24×C29—41no—
395C24×C29—41no—
396C24×C29—41no—
397C24×C29—41no—
398C24×C29C2411yescharacteristic
399C24×C29C2411yescharacteristic
400C24×C29C2411yescharacteristic
401C24×C29C2411yescharacteristic
402C24×C29C2411yescharacteristic
403C24×C29C2411yescharacteristic
404C24×C29C2411yescharacteristic
405C24×C29C2411yescharacteristic
406#41×C29—416no—
407C2×Q8×C29—22no—
408C2×Q8×C29—22no—
409C2×Q8×C29—41no—
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—22no—
436C2×D4×C29—41no—
437C2×D4×C29—41no—
438C2×D4×C29—41no—
439C2×D4×C29—41no—
440C2×D4×C29—41no—
441C2×D4×C29—41no—
442C2×D4×C29—41no—
443C2×D4×C29—41no—
444C2×D4×C29—41no—
445C2×D4×C29—41no—
446C2×D4×C29—41no—
447C2×D4×C29—41no—
448C2×D4×C29—41no—
449C2×D4×C29—41no—
450C2×D4×C29—41no—
451C2×D4×C29—41no—
452C2×D4×C29—41no—
453C2×D4×C29—41no—
454C2×D4×C29—41no—
455C2×D4×C29—41no—
456C2×D4×C29—41no—
457C2×D4×C29—41no—
458C2×D4×C29—41no—
459C2×D4×C29—41no—
460C2×D4×C29—41no—
461C2×D4×C29—41no—
462C2×D4×C29—41no—
463C2×D4×C29—41no—
464C2×D4×C29—41no—
465C2×D4×C29—41no—
466C2×D4×C29—41no—
467C2×D4×C29—41no—
468C2×D4×C29—41no—
469C2×D4×C29—41no—
470C2×D4×C29—41no—
471C2×D4×C29—41no—
472C2×D4×C29—41no—
473C2×D4×C29—41no—
474C2×D4×C29—41no—
475C2×D4×C29—41no—
476C2×D4×C29—41no—
477C2×D4×C29—41no—
478C2×D4×C29—41no—
479C2×D4×C29—41no—
480C2×D4×C29—41no—
481C2×D4×C29—41no—
482C2×D4×C29—41no—
483C2×D4×C29—41no—
484C2×D4×C29C2×D414yes—
485C22×C4×C29—22no—
486C22×C4×C29—22no—
487C22×C4×C29—22no—
488C22×C4×C29—22no—
489C22×C4×C29—22no—
490C22×C4×C29—22no—
491C22×C4×C29—22no—
492C22×C4×C29—22no—
493C22×C4×C29—22no—
494C22×C4×C29—22no—
495C22×C4×C29—22no—
496C22×C4×C29—22no—
497C22×C4×C29—22no—
498C22×C4×C29—22no—
499C22×C4×C29—41no—
500C22×C4×C29—41no—
501C22×C4×C29—41no—
502C22×C4×C29—41no—
503C22×C4×C29—41no—
504C22×C4×C29—41no—
505C22×C4×C29—41no—
506C22×C4×C29—41no—
507C22×C4×C29—41no—
508C22×C4×C29—41no—
509C22×C4×C29—41no—
510C22×C4×C29—41no—
511C22×C4×C29—41no—
512C22×C4×C29—41no—
513C22×C4×C29—41no—
514C22×C4×C29—41no—
515C22×C4×C29—41no—
516C22×C4×C29—41no—
517C22×C4×C29—41no—
518C22×C4×C29—41no—
519C22×C4×C29—41no—
520C22×C4×C29—41no—
521C22×C4×C29—41no—
522C22×C4×C29—416no—
523C22×C4×C29C2×D414yes—
524C22×C4×C29C2×D414yes—
525C22×C4×C29C2411yescharacteristic
526C22×C4×C29C2411yescharacteristic
527C22×C4×C29C2411yescharacteristic
528C22×C4×C29C2411yescharacteristic
529C22×C4×C29C2411yescharacteristic
530C22×C4×C29C2411yescharacteristic
531C22×C4×C29C2411yescharacteristic
532C22×C4×C29C2411yescharacteristic
533C22×C4×C29C2411yescharacteristic
534C22×C4×C29C2411yescharacteristic
535C22×C4×C29C2411yescharacteristic
536C22×C4×C29C2411yescharacteristic
537C22×C4×C29C2411yescharacteristic
538C22×C4×C29C2411yescharacteristic
539C22×C4×C29C2411yescharacteristic
540C22×C4×C29C2411yescharacteristic
541C22×C4×C29C2411yescharacteristic
542C22×C4×C29C2411yescharacteristic
543C22×C4×C29C2411yescharacteristic
544C22×C4×C29C2411yescharacteristic
545C22×C4×C29C2411yescharacteristic
546C22×C4×C29C2411yescharacteristic
547C22×C4×C29C2411yescharacteristic
548C4⋊C4×C29—22no—
549C4⋊C4×C29—22no—
550C4⋊C4×C29—22no—
551C4⋊C4×C29—22no—
552C4⋊C4×C29—22no—
553C4⋊C4×C29—22no—
554C4⋊C4×C29—22no—
555C4⋊C4×C29—22no—
556C4⋊C4×C29—22no—
557C4⋊C4×C29—22no—
558C4⋊C4×C29—22no—
559C4⋊C4×C29—22no—
560C4⋊C4×C29—22no—
561C4⋊C4×C29—41no—
562C4⋊C4×C29—41no—
563C4⋊C4×C29—41no—
564C4⋊C4×C29—41no—
565C4⋊C4×C29—41no—
566C4⋊C4×C29—41no—
567C4⋊C4×C29—41no—
568C4⋊C4×C29—41no—
569C4⋊C4×C29—41no—
570C4⋊C4×C29—41no—
571C4⋊C4×C29C2×D414yes—
572C22⋊C4×C29—22no—
573C22⋊C4×C29—22no—
574C22⋊C4×C29—22no—
575C22⋊C4×C29—22no—
576C22⋊C4×C29—22no—
577C22⋊C4×C29—22no—
578C22⋊C4×C29—22no—
579C22⋊C4×C29—22no—
580C22⋊C4×C29—22no—
581C22⋊C4×C29—22no—
582C22⋊C4×C29—22no—
583C22⋊C4×C29—22no—
584C22⋊C4×C29—22no—
585C22⋊C4×C29—22no—
586C22⋊C4×C29—22no—
587C22⋊C4×C29—22no—
588C22⋊C4×C29—22no—
589C22⋊C4×C29—22no—
590C22⋊C4×C29—22no—
591C22⋊C4×C29—22no—
592C22⋊C4×C29—22no—
593C22⋊C4×C29—22no—
594C22⋊C4×C29—22no—
595C22⋊C4×C29—41no—
596C22⋊C4×C29—41no—
597C22⋊C4×C29—41no—
598C22⋊C4×C29—41no—
599C22⋊C4×C29—41no—
600C22⋊C4×C29—41no—
601C22⋊C4×C29—41no—
602C22⋊C4×C29—41no—
603C22⋊C4×C29—41no—
604C22⋊C4×C29—41no—
605C22⋊C4×C29—41no—
606C22⋊C4×C29—41no—
607C22⋊C4×C29—41no—
608C22⋊C4×C29—41no—
609C22⋊C4×C29—41no—
610C22⋊C4×C29—41no—
611C22⋊C4×C29—41no—
612C22⋊C4×C29—41no—
613C22⋊C4×C29—41no—
614C22⋊C4×C29—41no—
615C22⋊C4×C29—41no—
616C22⋊C4×C29—41no—
617C22⋊C4×C29—41no—
618C22⋊C4×C29—41no—
619C22⋊C4×C29—41no—
620C22⋊C4×C29—41no—
621C22⋊C4×C29—41no—
622C22⋊C4×C29—41no—
623C22⋊C4×C29—41no—
624C22⋊C4×C29C2×D414yes—
625C22⋊C4×C29C2×D414yes—
626C42×C29—22no—
627C42×C29—22no—
628C42×C29—41no—
629C42×C29—41no—
630C42×C29C2×D414yes—
631#36713C2911yesmaximal, characteristic, direct product factor, Sylow
632C23×C29—21no—
633C23×C29—21no—
634C23×C29—21no—
635C23×C29—21no—
636C23×C29—21no—
637C23×C29—21no—
638C23×C29—21no—
639C23×C29—21no—
640C23×C29—21no—
641C23×C29—21no—
642C23×C29—21no—
643C23×C29—21no—
644C23×C29—21no—
645C23×C29—21no—
646C23×C29—21no—
647C23×C29—21no—
648C23×C29—21no—
649C23×C29—21no—
650C23×C29—21no—
651C23×C29—21no—
652C23×C29—21no—
653C23×C29—21no—
654C23×C29—21no—
655C23×C29—21no—
656C23×C29—21no—
657C23×C29—21no—
658C23×C29—21no—
659C23×C29—21no—
660C23×C29—21no—
661C23×C29—21no—
662C23×C29—21no—
663C23×C29—21no—
664C23×C29—21no—
665C23×C29—21no—
666C23×C29—21no—
667C23×C29—21no—
668C23×C29—21no—
669C23×C29—21no—
670C23×C29—21no—
671C23×C29—21no—
672C23×C29—21no—
673C23×C29—21no—
674C23×C29—21no—
675C23×C29—21no—
676C23×C29—21no—
677C23×C29—21no—
678C23×C29—21no—
679C23×C29—21no—
680C23×C29—21no—
681C23×C29—21no—
682C23×C29—21no—
683C23×C29—21no—
684C23×C29—44no—
685C23×C29—44no—
686C23×C29—44no—
687C23×C29—44no—
688C23×C29—44no—
689C23×C29—44no—
690C23×C29—44no—
691C23×C29C22×D412yes—
692C23×C29C22×D412yes—
693C23×C29H(5,𝔽2)12yes—
694C23×C29H(5,𝔽2)12yes—
695C23×C29C2511yescharacteristic
696Q8×C29—44no—
697D4×C29—44no—
698D4×C29—44no—
699D4×C29—44no—
700D4×C29—44no—
701D4×C29—44no—
702D4×C29—44no—
703D4×C29—44no—
704D4×C29—44no—
705D4×C29—82no—
706D4×C29—82no—
707D4×C29—82no—
708D4×C29—82no—
709D4×C29—82no—
710D4×C29—82no—
711D4×C29—82no—
712D4×C29—82no—
713D4×C29—82no—
714D4×C29—82no—
715D4×C29—82no—
716D4×C29—82no—
717D4×C29—82no—
718D4×C29—82no—
719D4×C29—82no—
720D4×C29—82no—
721D4×C29—82no—
722C2×C4×C29—28no—
723C2×C4×C29—21no—
724C2×C4×C29—21no—
725C2×C4×C29—21no—
726C2×C4×C29—21no—
727C2×C4×C29—21no—
728C2×C4×C29—21no—
729C2×C4×C29—21no—
730C2×C4×C29—21no—
731C2×C4×C29—21no—
732C2×C4×C29—21no—
733C2×C4×C29—21no—
734C2×C4×C29—21no—
735C2×C4×C29—21no—
736C2×C4×C29—21no—
737C2×C4×C29—21no—
738C2×C4×C29—21no—
739C2×C4×C29—21no—
740C2×C4×C29—21no—
741C2×C4×C29—21no—
742C2×C4×C29—21no—
743C2×C4×C29—21no—
744C2×C4×C29—21no—
745C2×C4×C29—21no—
746C2×C4×C29—21no—
747C2×C4×C29—21no—
748C2×C4×C29—21no—
749C2×C4×C29—21no—
750C2×C4×C29—21no—
751C2×C4×C29—21no—
752C2×C4×C29—21no—
753C2×C4×C29—21no—
754C2×C4×C29—21no—
755C2×C4×C29—21no—
756C2×C4×C29—21no—
757C2×C4×C29—21no—
758C2×C4×C29—21no—
759C2×C4×C29—21no—
760C2×C4×C29—21no—
761C2×C4×C29—21no—
762C2×C4×C29—21no—
763C2×C4×C29—21no—
764C2×C4×C29—21no—
765C2×C4×C29—21no—
766C2×C4×C29—21no—
767C2×C4×C29—21no—
768C2×C4×C29—21no—
769C2×C4×C29—21no—
770C2×C4×C29—21no—
771C2×C4×C29—21no—
772C2×C4×C29—21no—
773C2×C4×C29—21no—
774C2×C4×C29—21no—
775C2×C4×C29—21no—
776C2×C4×C29—21no—
777C2×C4×C29—21no—
778C2×C4×C29—21no—
779C2×C4×C29—21no—
780C2×C4×C29—21no—
781C2×C4×C29—21no—
782C2×C4×C29—21no—
783C2×C4×C29—21no—
784C2×C4×C29—21no—
785C2×C4×C29—21no—
786C2×C4×C29—44no—
787C2×C4×C29—44no—
788C2×C4×C29—44no—
789C2×C4×C29—44no—
790C2×C4×C29—44no—
791C2×C4×C29—44no—
792C2×C4×C29—44no—
793C2×C4×C29—44no—
794C2×C4×C29—82no—
795C2×C4×C29—82no—
796C2×C4×C29—82no—
797C2×C4×C29—82no—
798C2×C4×C29C22×D412yes—
799C2×C4×C29C22×D412yes—
800C2×C4×C29C22×D412yes—
801C2×C4×C29C22×D412yes—
802C2×C4×C29C22×D412yes—
803C2×C4×C29H(5,𝔽2)12yes—
804C2×#540C2×C2911yescharacteristic, complemented
805C2×#525C2×C2911yescharacteristic, complemented
806#2849C2×C2911yescharacteristic, complemented
807#2847C2×C2911yescharacteristic, complemented
808#2694C2×C2911yescharacteristic, complemented
809#2693C2×C2911yescharacteristic, complemented
810#2690C2×C2911yescharacteristic, complemented
811#2688C2×C2911yescharacteristic, complemented
812#2687C2×C2911yescharacteristic, complemented
813#2678C2×C2911yescharacteristic, complemented
814#2676C2×C2911yescharacteristic, complemented
815#2675C2×C2911yescharacteristic, complemented
816#2673C2×C2911yescharacteristic, complemented
817#2673C2×C2911yescharacteristic, complemented
818#2672C2×C2911yescharacteristic, complemented
819#2671C2×C2911yescharacteristic, complemented
820#2671C2×C2911yescharacteristic, complemented
821#2669C2×C2911yescharacteristic, complemented
822#2669C2×C2911yescharacteristic, complemented
823#2668C2×C2911yescharacteristic, complemented
824#2635C2×C2911yescharacteristic, complemented
825#2630C2×C2911yescharacteristic, complemented
826#2609C2×C2911yescharacteristic, complemented
827#2602C2×C2911yescharacteristic, complemented
828#2598C2×C2911yescharacteristic, complemented
829#2598C2×C2911yescharacteristic, complemented
830#2543C2×C2911yescharacteristic, complemented
831#2535C2×C2911yescharacteristic, complemented
832#2431C2×C2911yescharacteristic, complemented
833#2430C2×C2911yescharacteristic, complemented
834#2318C2×C2911yescharacteristic, complemented
835C22×C29—22no—
836C22×C29—22no—
837C22×C29—22no—
838C22×C29—22no—
839C22×C29—22no—
840C22×C29—22no—
841C22×C29—22no—
842C22×C29—22no—
843C22×C29—22no—
844C22×C29—22no—
845C22×C29—22no—
846C22×C29—22no—
847C22×C29—416no—
848C22×C29—41no—
849C22×C29—41no—
850C22×C29—41no—
851C22×C29—41no—
852C22×C29—41no—
853C22×C29—41no—
854C22×C29—41no—
855C22×C29—41no—
856C22×C29—41no—
857C22×C29—41no—
858C22×C29—41no—
859C22×C29—41no—
860C22×C29—41no—
861C22×C29—41no—
862C22×C29—41no—
863C22×C29—41no—
864C22×C29—41no—
865C22×C29—41no—
866C22×C29—41no—
867C22×C29—41no—
868C22×C29—41no—
869C22×C29—41no—
870C22×C29—41no—
871C22×C29—41no—
872C22×C29—41no—
873C22×C29—41no—
874C22×C29—41no—
875C22×C29—41no—
876C22×C29—41no—
877C22×C29—41no—
878C22×C29—41no—
879C22×C29—41no—
880C22×C29—41no—
881C22×C29—41no—
882C22×C29—41no—
883C22×C29—41no—
884C22×C29—41no—
885C22×C29—41no—
886C22×C29—41no—
887C22×C29—41no—
888C22×C29—41no—
889C22×C29—41no—
890C22×C29—41no—
891C22×C29—41no—
892C22×C29C23×D411yescharacteristic
893C22×C29C2×H(5,𝔽2)11yescharacteristic
894C22×C29C2×H(5,𝔽2)11yescharacteristic
895C22×C29C2×H(5,𝔽2)11yescharacteristic
896C22×C29#58511yescharacteristic
897C22×C29#58511yescharacteristic
898C22×C29#58511yescharacteristic
899C4×C29—22no—
900C4×C29—22no—
901C4×C29—22no—
902C4×C29—22no—
903C4×C29—22no—
904C4×C29—22no—
905C4×C29—41no—
906C4×C29—41no—
907C4×C29—41no—
908C4×C29—41no—
909C4×C29—41no—
910C4×C29—41no—
911C4×C29—41no—
912C4×C29—41no—
913C4×C29—41no—
914C4×C29—41no—
915C4×C29—41no—
916C4×C29—41no—
917C4×C29—41no—
918C4×C29—41no—
919C4×C29—41no—
920C4×C29—41no—
921C4×C29—41no—
922C22×#41C22×C2911yescharacteristic
923C24×C4C22×C2911yescharacteristic
924#540—28no—
925C2×#127C22×C2911yescharacteristic
926C2×#127C22×C2911yescharacteristic
927C2×#125C22×C2911yescharacteristic, complemented
928C2×#124C22×C2911yescharacteristic, complemented
929#525—28no—
930C2×#123C22×C2911yescharacteristic
931C2×#123C22×C2911yescharacteristic
932C2×#123C22×C2911yescharacteristic
933C2×#123C22×C2911yescharacteristic
934C2×#123C22×C2911yescharacteristic
935C2×#123C22×C2911yescharacteristic, complemented
936C2×#123C22×C2911yescharacteristic, complemented
937C2×C22⋊Q8C22×C2911yescharacteristic
938C2×C22⋊Q8C22×C2911yescharacteristic
939C2×#121C22×C2911yescharacteristic
940C2×#121C22×C2911yescharacteristic
941C2×#121C22×C2911yescharacteristic
942C2×#121C22×C2911yescharacteristic
943C2×#121C22×C2911yescharacteristic
944C2×#121C22×C2911yescharacteristic
945C2×#121C22×C2911yescharacteristic
946C2×#121C22×C2911yescharacteristic
947C2×#121C22×C2911yescharacteristic
948C2×#121C22×C2911yescharacteristic
949C2×#121C22×C2911yescharacteristic
950C2×#121C22×C2911yescharacteristic
951C2×#121C22×C2911yescharacteristic, complemented
952C2×#121C22×C2911yescharacteristic, complemented
953C2×#121C22×C2911yescharacteristic, complemented
954C2×#121C22×C2911yescharacteristic, complemented
955C2×#120C22×C2911yescharacteristic
956C2×#120C22×C2911yescharacteristic
957C2×#120C22×C2911yescharacteristic
958C2×#120C22×C2911yescharacteristic
959C2×#120C22×C2911yescharacteristic
960C2×C4×D4C22×C2911yescharacteristic
961C2×C4×D4C22×C2911yescharacteristic
962C2×C4×D4C22×C2911yescharacteristic
963C2×C4×D4C22×C2911yescharacteristic
964C2×C4×D4C22×C2911yescharacteristic, complemented
965C2×#117C22×C2911yescharacteristic
966C2×#117C22×C2911yescharacteristic, complemented
967#400C22×C2911yescharacteristic, complemented
968#400C22×C2911yescharacteristic, complemented
969#400C22×C2911yescharacteristic, complemented
970#399C22×C2911yescharacteristic
971#399C22×C2911yescharacteristic, complemented
972#399C22×C2911yescharacteristic, complemented
973#398C22×C2911yescharacteristic, complemented
974#398C22×C2911yescharacteristic, complemented
975#398C22×C2911yescharacteristic, complemented
976#397C22×C2911yescharacteristic
977#397C22×C2911yescharacteristic
978#397C22×C2911yescharacteristic
979#397C22×C2911yescharacteristic, complemented
980#397C22×C2911yescharacteristic, complemented
981#396C22×C2911yescharacteristic
982#396C22×C2911yescharacteristic, complemented
983#396C22×C2911yescharacteristic, complemented
984#396C22×C2911yescharacteristic, complemented
985#395C22×C2911yescharacteristic, complemented
986#394C22×C2911yescharacteristic
987#394C22×C2911yescharacteristic
988#394C22×C2911yescharacteristic
989#394C22×C2911yescharacteristic
990#394C22×C2911yescharacteristic
991#394C22×C2911yescharacteristic
992#394C22×C2911yescharacteristic
993#394C22×C2911yescharacteristic
994#394C22×C2911yescharacteristic, complemented
995#394C22×C2911yescharacteristic, complemented
996#394C22×C2911yescharacteristic, complemented
997#394C22×C2911yescharacteristic, complemented
998#394C22×C2911yescharacteristic, complemented
999#393C22×C2911yescharacteristic, complemented
1000#392C22×C2911yescharacteristic
1001#392C22×C2911yescharacteristic
1002#392C22×C2911yescharacteristic
1003#392C22×C2911yescharacteristic
1004#392C22×C2911yescharacteristic
1005#392C22×C2911yescharacteristic
1006#392C22×C2911yescharacteristic
1007#392C22×C2911yescharacteristic
1008#392C22×C2911yescharacteristic
1009#392C22×C2911yescharacteristic
1010#392C22×C2911yescharacteristic
1011#392C22×C2911yescharacteristic, complemented
1012#392C22×C2911yescharacteristic, complemented
1013#392C22×C2911yescharacteristic, complemented
1014#392C22×C2911yescharacteristic, complemented
1015#391C22×C2911yescharacteristic, complemented
1016#390C22×C2911yescharacteristic
1017#390C22×C2911yescharacteristic
1018#389C22×C2911yescharacteristic, complemented
1019#388C22×C2911yescharacteristic
1020#388C22×C2911yescharacteristic
1021#388C22×C2911yescharacteristic
1022#388C22×C2911yescharacteristic
1023#388C22×C2911yescharacteristic
1024#388C22×C2911yescharacteristic, complemented
1025#388C22×C2911yescharacteristic, complemented
1026#388C22×C2911yescharacteristic, complemented
1027#388C22×C2911yescharacteristic, complemented
1028#388C22×C2911yescharacteristic, complemented
1029#387C22×C2911yescharacteristic, complemented
1030#387C22×C2911yescharacteristic, complemented
1031#387C22×C2911yescharacteristic, complemented
1032#387C22×C2911yescharacteristic, complemented
1033#386C22×C2911yescharacteristic
1034#386C22×C2911yescharacteristic
1035#386C22×C2911yescharacteristic
1036#386C22×C2911yescharacteristic
1037#386C22×C2911yescharacteristic
1038#386C22×C2911yescharacteristic
1039#386C22×C2911yescharacteristic
1040#386C22×C2911yescharacteristic
1041#386C22×C2911yescharacteristic
1042#386C22×C2911yescharacteristic
1043#386C22×C2911yescharacteristic
1044#386C22×C2911yescharacteristic
1045#386C22×C2911yescharacteristic
1046#386C22×C2911yescharacteristic
1047#386C22×C2911yescharacteristic
1048#386C22×C2911yescharacteristic
1049#386C22×C2911yescharacteristic
1050#386C22×C2911yescharacteristic, complemented
1051#386C22×C2911yescharacteristic, complemented
1052#386C22×C2911yescharacteristic, complemented
1053#386C22×C2911yescharacteristic, complemented
1054#386C22×C2911yescharacteristic, complemented
1055#386C22×C2911yescharacteristic, complemented
1056#386C22×C2911yescharacteristic, complemented
1057#385C22×C2911yescharacteristic
1058#385C22×C2911yescharacteristic
1059#385C22×C2911yescharacteristic
1060#385C22×C2911yescharacteristic
1061#385C22×C2911yescharacteristic, complemented
1062#385C22×C2911yescharacteristic, complemented
1063#385C22×C2911yescharacteristic, complemented
1064#385C22×C2911yescharacteristic, complemented
1065#385C22×C2911yescharacteristic, complemented
1066#385C22×C2911yescharacteristic, complemented
1067#383C22×C2911yescharacteristic, complemented
1068#382C22×C2911yescharacteristic, complemented
1069#381C22×C2911yescharacteristic
1070#381C22×C2911yescharacteristic
1071#380C22×C2911yescharacteristic
1072#380C22×C2911yescharacteristic
1073#380C22×C2911yescharacteristic
1074#380C22×C2911yescharacteristic, complemented
1075#380C22×C2911yescharacteristic, complemented
1076#379C22×C2911yescharacteristic
1077C4×C22⋊C4C22×C2911yescharacteristic, complemented
1078C2×#95C22×C2911yescharacteristic, complemented
1079C2×C29—42no—
1080C2×C29—42no—
1081C2×C29—42no—
1082C2×C29—42no—
1083C2×C29—81no—
1084C2×C29—81no—
1085C2×C29—81no—
1086C2×C29—81no—
1087C2×C29#344911yescharacteristic
1088C2×C29#348411yescharacteristic
1089C2×C29#348811yescharacteristic
1090C2×C29#353311yescharacteristic
1091C2×C29#353411yescharacteristic
1092C2×C29#353911yescharacteristic
1093C2×C29#354211yescharacteristic
1094C25C23×C2911yescharacteristic
1095C2×#41—24no—
1096C2×#41—42no—
1097C2×#41—42no—
1098C22×Q8C23×C2911yescharacteristic
1099C22×D4C23×C2911yescharacteristic
1100C22×D4C23×C2911yescharacteristic
1101C22×D4C23×C2911yescharacteristic
1102C22×D4C23×C2911yescharacteristic
1103C22×D4C23×C2911yescharacteristic
1104C22×D4C23×C2911yescharacteristic
1105C22×D4C23×C2911yescharacteristic
1106C22×D4C23×C2911yescharacteristic
1107C22×D4C23×C2911yescharacteristic
1108C22×D4C23×C2911yescharacteristic
1109C22×D4C23×C2911yescharacteristic
1110C22×D4C23×C2911yescharacteristic
1111C22×D4C23×C2911yescharacteristic
1112C22×D4C23×C2911yescharacteristic
1113C22×D4C23×C2911yescharacteristic
1114C22×D4C23×C2911yescharacteristic
1115C22×D4C23×C2911yescharacteristic
1116C22×D4C23×C2911yescharacteristic
1117C22×D4C23×C2911yescharacteristic
1118C22×D4C23×C2911yescharacteristic
1119C22×D4C23×C2911yescharacteristic
1120C22×D4C23×C2911yescharacteristic
1121C22×D4C23×C2911yescharacteristic
1122C22×D4C23×C2911yescharacteristic
1123C22×D4C23×C2911yescharacteristic
1124C23×C4—24no—
1125C23×C4—42no—
1126C23×C4—42no—
1127C23×C4C23×C2911yescharacteristic
1128C23×C4C23×C2911yescharacteristic
1129C23×C4C23×C2911yescharacteristic
1130C23×C4C23×C2911yescharacteristic
1131C23×C4C23×C2911yescharacteristic
1132C23×C4C23×C2911yescharacteristic
1133C23×C4C23×C2911yescharacteristic
1134C23×C4C23×C2911yescharacteristic
1135C23×C4C23×C2911yescharacteristic
1136C23×C4C23×C2911yescharacteristic
1137C23×C4C23×C2911yescharacteristic
1138C23×C4C23×C2911yescharacteristic
1139C23×C4C23×C2911yescharacteristic
1140#127—24no—
1141#127—42no—
1142#125—24no—
1143#124—42no—
1144#123—24no—
1145#123—24no—
1146#123—24no—
1147#123—24no—
1148#123—24no—
1149#123—24no—
1150#123—42no—
1151C22⋊Q8—24no—
1152C22⋊Q8—24no—
1153#121—24no—
1154#121—24no—
1155#121—24no—
1156#121—24no—
1157#121—24no—
1158#121—24no—
1159#121—24no—
1160#121—24no—
1161#121—42no—
1162#121—42no—
1163#121—42no—
1164#121—42no—
1165#121—42no—
1166#121—42no—
1167#121—42no—
1168#121—42no—
1169#120—24no—
1170#120—24no—
1171#120—42no—
1172#120—42no—
1173#120—42no—
1174C4×D4—24no—
1175C4×D4—24no—
1176C4×D4—24no—
1177C4×D4—24no—
1178C4×D4D4×C2918yescomplemented
1179#117—24no—
1180#117—24no—
1181C2×C4⋊C4C23×C2911yescharacteristic
1182C2×C4⋊C4C23×C2911yescharacteristic
1183C2×C4⋊C4C23×C2911yescharacteristic
1184C2×C4⋊C4C23×C2911yescharacteristic
1185C2×C4⋊C4C23×C2911yescharacteristic
1186C2×C4⋊C4C23×C2911yescharacteristic
1187C2×C4⋊C4C23×C2911yescharacteristic
1188C2×C4⋊C4C23×C2911yescharacteristic
1189C2×C4⋊C4C23×C2911yescharacteristic
1190C2×C4⋊C4C23×C2911yescharacteristic
1191C2×C4⋊C4C23×C2911yescharacteristic
1192C2×C4⋊C4C23×C2911yescharacteristic
1193C2×C4⋊C4C23×C2911yescharacteristic
1194C2×C4⋊C4C23×C2911yescharacteristic
1195C2×C4⋊C4C23×C2911yescharacteristic
1196C2×C4⋊C4C23×C2911yescharacteristic
1197C2×C4⋊C4C23×C2911yescharacteristic
1198C2×C4⋊C4C23×C2911yescharacteristic
1199C2×C4⋊C4C23×C2911yescharacteristic
1200C2×C4⋊C4C23×C2911yescharacteristic
1201C2×C4⋊C4C23×C2911yescharacteristic
1202C2×C4⋊C4C23×C2911yescharacteristic
1203C2×C4⋊C4C23×C2911yescharacteristic
1204C2×C4⋊C4C23×C2911yescharacteristic
1205C2×C22⋊C4C23×C2911yescharacteristic
1206C2×C22⋊C4C23×C2911yescharacteristic
1207C2×C22⋊C4C23×C2911yescharacteristic
1208C2×C22⋊C4C23×C2911yescharacteristic
1209C2×C22⋊C4C23×C2911yescharacteristic
1210C2×C22⋊C4C23×C2911yescharacteristic
1211C2×C22⋊C4C23×C2911yescharacteristic
1212C2×C22⋊C4C23×C2911yescharacteristic
1213C2×C22⋊C4C23×C2911yescharacteristic
1214C2×C22⋊C4C23×C2911yescharacteristic
1215C2×C22⋊C4C23×C2911yescharacteristic
1216C2×C22⋊C4C23×C2911yescharacteristic
1217C2×C22⋊C4C23×C2911yescharacteristic
1218C2×C22⋊C4C23×C2911yescharacteristic
1219C2×C22⋊C4C23×C2911yescharacteristic
1220C2×C22⋊C4C23×C2911yescharacteristic
1221C2×C22⋊C4C23×C2911yescharacteristic
1222C2×C22⋊C4C23×C2911yescharacteristic
1223C2×C22⋊C4C23×C2911yescharacteristic
1224C2×C22⋊C4C23×C2911yescharacteristic
1225C2×C22⋊C4C23×C2911yescharacteristic
1226C2×C22⋊C4C23×C2911yescharacteristic
1227C2×C22⋊C4C23×C2911yescharacteristic
1228C2×C22⋊C4C23×C2911yescharacteristic
1229C2×C22⋊C4C23×C2911yescharacteristic
1230C2×C22⋊C4C23×C2911yescharacteristic
1231C2×C22⋊C4C23×C2911yescharacteristic
1232C2×C22⋊C4C23×C2911yescharacteristic
1233C2×C22⋊C4C23×C2911yescharacteristic
1234C2×C22⋊C4C23×C2911yescharacteristic
1235C2×C22⋊C4C23×C2911yescharacteristic
1236C2×C22⋊C4C23×C2911yescharacteristic
1237C2×C22⋊C4C23×C2911yescharacteristic
1238C2×C22⋊C4C23×C2911yescharacteristic
1239C2×C22⋊C4C23×C2911yescharacteristic
1240C2×C22⋊C4C23×C2911yescharacteristic
1241C2×C22⋊C4C23×C2911yescharacteristic
1242C2×C22⋊C4C23×C2911yescharacteristic
1243C2×C22⋊C4C23×C2911yescharacteristic
1244C2×C22⋊C4C23×C2911yescharacteristic
1245C2×C22⋊C4C23×C2911yescharacteristic
1246C2×C22⋊C4C23×C2911yescharacteristic
1247C2×C22⋊C4C23×C2911yescharacteristic
1248C2×C22⋊C4C23×C2911yescharacteristic
1249C2×C22⋊C4C23×C2911yescharacteristic
1250C2×C22⋊C4C23×C2911yescharacteristic
1251C2×C22⋊C4C23×C2911yescharacteristic
1252C2×C22⋊C4C23×C2911yescharacteristic
1253C2×C22⋊C4C23×C2911yescharacteristic
1254C2×C22⋊C4C23×C2911yescharacteristic
1255C2×C22⋊C4C23×C2911yescharacteristic
1256C2×C22⋊C4C23×C2911yescharacteristic
1257C2×C22⋊C4C23×C2911yescharacteristic
1258C2×C22⋊C4C23×C2911yescharacteristic
1259C2×C42C23×C2911yescharacteristic
1260C2×C42C23×C2911yescharacteristic
1261C2×C42C23×C2911yescharacteristic
1262C2×C42C23×C2911yescharacteristic
1263C2×C42C23×C2911yescharacteristic
1264#95C23×C2911yescharacteristic
1265#95C23×C2911yescharacteristic
1266#95C23×C2911yescharacteristic
1267#95C23×C2911yescharacteristic
1268#95C23×C2911yescharacteristic
1269#95C23×C2911yescharacteristic
1270#95C23×C2911yescharacteristic
1271#95C23×C2911yescharacteristic
1272#95C23×C2911yescharacteristic
1273#95C23×C2911yescharacteristic
1274#95C23×C2911yescharacteristic
1275#95C23×C2911yescharacteristic
1276#95C23×C2911yescharacteristic
1277#95C23×C2911yescharacteristic
1278#95C23×C2911yescharacteristic
1279#95C23×C2911yescharacteristic
1280#95C23×C2911yescharacteristic
1281#95C23×C2911yescharacteristic
1282#95C23×C2911yescharacteristic
1283#95C23×C2911yescharacteristic
1284#95C23×C2911yescharacteristic
1285#95C23×C2911yescharacteristic
1286#95C23×C2911yescharacteristic
1287#95C23×C2911yescharacteristic
1288#95C23×C2911yescharacteristic
1289#95C23×C2911yescharacteristic
1290#95C23×C2911yescharacteristic
1291#95C23×C2911yescharacteristic
1292#95C23×C2911yescharacteristic
1293#95C23×C2911yescharacteristic
1294#95C23×C2911yescharacteristic
1295#95C23×C2911yescharacteristic
1296C29#3671311yescharacteristic, direct product factor, Sylow
1297C24—22no—
1298C24—22no—
1299C24—22no—
1300C24—41no—
1301C24—41no—
1302C24—41no—
1303C24—41no—
1304C24C24×C2911yescharacteristic
1305C24C24×C2911yescharacteristic
1306C24C24×C2911yescharacteristic
1307C24C24×C2911yescharacteristic
1308C24C24×C2911yescharacteristic
1309C24C24×C2911yescharacteristic
1310C24C24×C2911yescharacteristic
1311C24C24×C2911yescharacteristic
1312#41—416no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—41no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4C2×D4×C2914yes—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—41no—
1423C22×C4—41no—
1424C22×C4—41no—
1425C22×C4—41no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—416no—
1429C22×C4C2×D4×C2914yes—
1430C22×C4C2×D4×C2914yes—
1431C22×C4C24×C2911yescharacteristic
1432C22×C4C24×C2911yescharacteristic
1433C22×C4C24×C2911yescharacteristic
1434C22×C4C24×C2911yescharacteristic
1435C22×C4C24×C2911yescharacteristic
1436C22×C4C24×C2911yescharacteristic
1437C22×C4C24×C2911yescharacteristic
1438C22×C4C24×C2911yescharacteristic
1439C22×C4C24×C2911yescharacteristic
1440C22×C4C24×C2911yescharacteristic
1441C22×C4C24×C2911yescharacteristic
1442C22×C4C24×C2911yescharacteristic
1443C22×C4C24×C2911yescharacteristic
1444C22×C4C24×C2911yescharacteristic
1445C22×C4C24×C2911yescharacteristic
1446C22×C4C24×C2911yescharacteristic
1447C22×C4C24×C2911yescharacteristic
1448C22×C4C24×C2911yescharacteristic
1449C22×C4C24×C2911yescharacteristic
1450C22×C4C24×C2911yescharacteristic
1451C22×C4C24×C2911yescharacteristic
1452C22×C4C24×C2911yescharacteristic
1453C22×C4C24×C2911yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—41no—
1471C4⋊C4—41no—
1472C4⋊C4—41no—
1473C4⋊C4—41no—
1474C4⋊C4—41no—
1475C4⋊C4—41no—
1476C4⋊C4—41no—
1477C4⋊C4C2×D4×C2914yes—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4C2×D4×C2914yes—
1531C22⋊C4C2×D4×C2914yes—
1532C42—22no—
1533C42—22no—
1534C42—41no—
1535C42—41no—
1536C42C2×D4×C2914yes—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—44no—
1590C23—44no—
1591C23—44no—
1592C23—44no—
1593C23—44no—
1594C23—44no—
1595C23—44no—
1596C23C22×D4×C2912yes—
1597C23C22×D4×C2912yes—
1598C23C29×H(5,𝔽2)12yes—
1599C23C29×H(5,𝔽2)12yes—
1600C23C25×C2911yescharacteristic
1601Q8—44no—
1602D4—44no—
1603D4—44no—
1604D4—44no—
1605D4—44no—
1606D4—44no—
1607D4—44no—
1608D4—44no—
1609D4—44no—
1610D4—82no—
1611D4—82no—
1612D4—82no—
1613D4—82no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
1620D4—82no—
1621D4—82no—
1622D4—82no—
1623D4—82no—
1624D4—82no—
1625D4—82no—
1626D4—82no—
1627C2×C4—28no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—44no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—44no—
1698C2×C4—44no—
1699C2×C4—82no—
1700C2×C4—82no—
1701C2×C4—82no—
1702C2×C4—82no—
1703C2×C4C22×D4×C2912yes—
1704C2×C4C22×D4×C2912yes—
1705C2×C4C22×D4×C2912yes—
1706C2×C4C22×D4×C2912yes—
1707C2×C4C22×D4×C2912yes—
1708C2×C4C29×H(5,𝔽2)12yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—416no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22C23×D4×C2911yescharacteristic
1767C22C2×C29×H(5,𝔽2)11yescharacteristic
1768C22C2×C29×H(5,𝔽2)11yescharacteristic
1769C22C2×C29×H(5,𝔽2)11yescharacteristic
1770C22C29×#58511yescharacteristic
1771C22C29×#58511yescharacteristic
1772C22C29×#58511yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—22no—
1777C4—22no—
1778C4—22no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C2—42no—
1797C2—42no—
1798C2—42no—
1799C2—42no—
1800C2—81no—
1801C2—81no—
1802C2—81no—
1803C2—81no—
1804C2C29×#344911yescharacteristic
1805C2C29×#348411yescharacteristic
1806C2C29×#348811yescharacteristic
1807C2C29×#353311yescharacteristic
1808C2C29×#353411yescharacteristic
1809C2C29×#353911yescharacteristic
1810C2C29×#354211yescharacteristic
subgroupG/H
center, socleC23×C29C25
commutator, Frattini, cosocleC23C25×C29
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C29×#540C2semidirect
2. C2×C29×#525C2semidirect
3. C29×#2849C2semidirect
4. C29×#2847C2semidirect
5. C29×#2694C2semidirect
6. C29×#2693C2semidirect
7. C29×#2690C2semidirect
8. C29×#2688C2semidirect
9. C29×#2687C2semidirect
10. C29×#2678C2semidirect
11. C29×#2676C2semidirect
12. C29×#2675C2semidirect
13. C29×#2673C2semidirect
14. C29×#2673C2semidirect
15. C29×#2672C2semidirect
16. C29×#2671C2semidirect
17. C29×#2671C2semidirect
18. C29×#2669C2semidirect
19. C29×#2669C2semidirect
20. C29×#2668C2semidirect
21. C29×#2635C2semidirect
22. C29×#2630C2semidirect
23. C29×#2609C2semidirect
24. C29×#2602C2semidirect
25. C29×#2598C2semidirect
26. C29×#2598C2semidirect
27. C29×#2543C2semidirect
28. C29×#2535C2semidirect
29. C29×#2431C2semidirect
30. C29×#2430C2semidirect
31. C29×#2318C2semidirect
37. C2×C29×#125C22semidirect
38. C2×C29×#124C22semidirect
45. C2×C29×#123C22semidirect
46. C2×C29×#123C22semidirect
61. C2×C29×#121C22semidirect
62. C2×C29×#121C22semidirect
63. C2×C29×#121C22semidirect
64. C2×C29×#121C22semidirect
74. C2×C4×D4×C29C22semidirect
76. C2×C29×#117C22semidirect
77. C29×#400C22semidirect
78. C29×#400C22semidirect
79. C29×#400C22semidirect
81. C29×#399C22semidirect
82. C29×#399C22semidirect
83. C29×#398C22semidirect
84. C29×#398C22semidirect
85. C29×#398C22semidirect
89. C29×#397C22semidirect
90. C29×#397C22semidirect
92. C29×#396C22semidirect
93. C29×#396C22semidirect
94. C29×#396C22semidirect
95. C29×#395C22semidirect
104. C29×#394C22semidirect
105. C29×#394C22semidirect
106. C29×#394C22semidirect
107. C29×#394C22semidirect
108. C29×#394C22semidirect
109. C29×#393C22semidirect
121. C29×#392C22semidirect
122. C29×#392C22semidirect
123. C29×#392C22semidirect
124. C29×#392C22semidirect
125. C29×#391C22semidirect
128. C29×#389C22semidirect
134. C29×#388C22semidirect
135. C29×#388C22semidirect
136. C29×#388C22semidirect
137. C29×#388C22semidirect
138. C29×#388C22semidirect
139. C29×#387C22semidirect
140. C29×#387C22semidirect
141. C29×#387C22semidirect
142. C29×#387C22semidirect
160. C29×#386C22semidirect
161. C29×#386C22semidirect
162. C29×#386C22semidirect
163. C29×#386C22semidirect
164. C29×#386C22semidirect
165. C29×#386C22semidirect
166. C29×#386C22semidirect
171. C29×#385C22semidirect
172. C29×#385C22semidirect
173. C29×#385C22semidirect
174. C29×#385C22semidirect
175. C29×#385C22semidirect
176. C29×#385C22semidirect
177. C29×#383C22semidirect
178. C29×#382C22semidirect
184. C29×#380C22semidirect
185. C29×#380C22semidirect
187. C4×C22⋊C4×C29C22semidirect
188. C2×C29×#95C22semidirect
273. C4×D4×C29D4semidirect
631. #36713C29direct (N × H)
804. C2×#540C2×C29semidirect
805. C2×#525C2×C29semidirect
806. #2849C2×C29semidirect
807. #2847C2×C29semidirect
808. #2694C2×C29semidirect
809. #2693C2×C29semidirect
810. #2690C2×C29semidirect
811. #2688C2×C29semidirect
812. #2687C2×C29semidirect
813. #2678C2×C29semidirect
814. #2676C2×C29semidirect
815. #2675C2×C29semidirect
816. #2673C2×C29semidirect
817. #2673C2×C29semidirect
818. #2672C2×C29semidirect
819. #2671C2×C29semidirect
820. #2671C2×C29semidirect
821. #2669C2×C29semidirect
822. #2669C2×C29semidirect
823. #2668C2×C29semidirect
824. #2635C2×C29semidirect
825. #2630C2×C29semidirect
826. #2609C2×C29semidirect
827. #2602C2×C29semidirect
828. #2598C2×C29semidirect
829. #2598C2×C29semidirect
830. #2543C2×C29semidirect
831. #2535C2×C29semidirect
832. #2431C2×C29semidirect
833. #2430C2×C29semidirect
834. #2318C2×C29semidirect
927. C2×#125C22×C29semidirect
928. C2×#124C22×C29semidirect
935. C2×#123C22×C29semidirect
936. C2×#123C22×C29semidirect
951. C2×#121C22×C29semidirect
952. C2×#121C22×C29semidirect
953. C2×#121C22×C29semidirect
954. C2×#121C22×C29semidirect
964. C2×C4×D4C22×C29semidirect
966. C2×#117C22×C29semidirect
967. #400C22×C29semidirect
968. #400C22×C29semidirect
969. #400C22×C29semidirect
971. #399C22×C29semidirect
972. #399C22×C29semidirect
973. #398C22×C29semidirect
974. #398C22×C29semidirect
975. #398C22×C29semidirect
979. #397C22×C29semidirect
980. #397C22×C29semidirect
982. #396C22×C29semidirect
983. #396C22×C29semidirect
984. #396C22×C29semidirect
985. #395C22×C29semidirect
994. #394C22×C29semidirect
995. #394C22×C29semidirect
996. #394C22×C29semidirect
997. #394C22×C29semidirect
998. #394C22×C29semidirect
999. #393C22×C29semidirect
1011. #392C22×C29semidirect
1012. #392C22×C29semidirect
1013. #392C22×C29semidirect
1014. #392C22×C29semidirect
1015. #391C22×C29semidirect
1018. #389C22×C29semidirect
1024. #388C22×C29semidirect
1025. #388C22×C29semidirect
1026. #388C22×C29semidirect
1027. #388C22×C29semidirect
1028. #388C22×C29semidirect
1029. #387C22×C29semidirect
1030. #387C22×C29semidirect
1031. #387C22×C29semidirect
1032. #387C22×C29semidirect
1050. #386C22×C29semidirect
1051. #386C22×C29semidirect
1052. #386C22×C29semidirect
1053. #386C22×C29semidirect
1054. #386C22×C29semidirect
1055. #386C22×C29semidirect
1056. #386C22×C29semidirect
1061. #385C22×C29semidirect
1062. #385C22×C29semidirect
1063. #385C22×C29semidirect
1064. #385C22×C29semidirect
1065. #385C22×C29semidirect
1066. #385C22×C29semidirect
1067. #383C22×C29semidirect
1068. #382C22×C29semidirect
1074. #380C22×C29semidirect
1075. #380C22×C29semidirect
1077. C4×C22⋊C4C22×C29semidirect
1078. C2×#95C22×C29semidirect
1178. C4×D4D4×C29semidirect
1296. C29#36713direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C29×#5402
C2×C29×#5252
C29×#28492
C29×#28472
C29×#26942
C29×#26932
C29×#26902
C29×#26882
C29×#26872
C29×#26782
C29×#26762
C29×#26752
C29×#26732
C29×#26722
C29×#26712
C29×#26692
C29×#26682
C29×#26352
C29×#26302
C29×#26092
C29×#26022
C29×#25982
C29×#25432
C29×#25352
C29×#24312
C29×#24302
C29×#23182
#3671329