Finite Group Databasebeta

← C29×#62830 #20357730

Subgroups — C29×#62830 #20357730

Order 7424.

7264 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#3562C214yesmaximal, complemented
2C29×#3560C214yesmaximal, complemented
3C29×#3552C212yesmaximal, complemented
4C29×#3551C214yesmaximal, complemented
5C29×#3547C212yesmaximal, complemented
6C29×#3546C212yesmaximal, complemented
7C29×#3543C212yesmaximal, complemented
8C29×#3534C214yesmaximal, complemented
9C29×#3520C212yesmaximal, complemented
10C29×#3519C214yesmaximal, complemented
11C29×#3519C212yesmaximal, complemented
12C29×#3517C212yesmaximal, complemented
13C29×#3514C214yesmaximal, complemented
14C29×#3514C212yesmaximal, complemented
15C29×#3512C212yesmaximal, complemented
16C29×#3507C211yesmaximal, characteristic, complemented
17C29×#3506C211yesmaximal, characteristic, complemented
18C29×#3505C214yesmaximal, complemented
19C29×#3500C212yesmaximal, complemented
20C29×#3497C211yesmaximal, characteristic, complemented
21C29×#3496C211yesmaximal, characteristic, complemented
22C29×#3494C214yesmaximal, complemented
23C29×#3489C212yesmaximal, complemented
24C29×#3488C212yesmaximal, complemented
25C29×#3444C211yesmaximal, characteristic, complemented
26C2×C29×#532C211yesmaximal, characteristic, complemented
27C2×C29×#529C211yesmaximal, characteristic, complemented
28C2×C29×2−1+4C2212yescomplemented
29C2×C29×H(5,𝔽2)C2212yescomplemented
30C22×#41×C29C2212yescomplemented
31C29×#563C2218yescomplemented
32C29×#562C2218yescomplemented
33C29×#560C2218yescomplemented
34C29×#560C2218yescomplemented
35C29×#559C2214yescomplemented
36C29×#559C2212yescomplemented
37C29×#557C2212yescomplemented
38C29×#556C2212yescomplemented
39C29×#556C2214yescomplemented
40C29×#556C2212yescomplemented
41C29×#555C2218yescomplemented
42C29×#555C2212yescomplemented
43C29×#555C2214yescomplemented
44C29×#554C2212yescomplemented
45C29×#554C2214yescomplemented
46C29×#553C2218yescomplemented
47C29×#553C2218yescomplemented
48C29×#553C2214yescomplemented
49C29×#553C2214yescomplemented
50C29×#553C2218yescomplemented
51C29×#553C2214yescomplemented
52C29×#553C2218yescomplemented
53C29×#553C2214yescomplemented
54C29×#553C2214yescomplemented
55C29×#552C2214yescomplemented
56C29×#552C2214yescomplemented
57C29×#552C2214yescomplemented
58C29×#551C2218yescomplemented
59C29×#551C2218yescomplemented
60C29×#551C2218yescomplemented
61C29×#551C2218yescomplemented
62C29×#550C2214yescomplemented
63C29×#550C2212yescomplemented
64C29×#550C2212yescomplemented
65C29×#550C2212yescomplemented
66C29×#550C2214yescomplemented
67D4×Q8×C29C2214yescomplemented
68D4×Q8×C29C2212yescomplemented
69D4×Q8×C29C2212yescomplemented
70C29×#548C2214yescomplemented
71C29×#548C2214yescomplemented
72C29×#548C2214yescomplemented
73C29×#548C2214yescomplemented
74C29×#548C2214yescomplemented
75C29×#548C2214yescomplemented
76C29×#547C2218yescomplemented
77C29×#547C2214yescomplemented
78C29×#547C2212yescomplemented
79C29×#547C2212yescomplemented
80C29×#547C2212yescomplemented
81C29×#546C2218yescomplemented
82C29×#546C2214yescomplemented
83C29×#546C2214yescomplemented
84C29×#546C2218yescomplemented
85C29×#546C2218yescomplemented
86C29×#546C2214yescomplemented
87C29×#546C2214yescomplemented
88C29×#546C2214yescomplemented
89C29×#546C2214yescomplemented
90C29×#546C2218yescomplemented
91C29×#546C2218yescomplemented
92C29×#546C2214yescomplemented
93C29×#546C2214yescomplemented
94D42×C29C2214yescomplemented
95D42×C29C2218yescomplemented
96D42×C29C2212yescomplemented
97D42×C29C2212yescomplemented
98D42×C29C2214yescomplemented
99C29×#544C2214yescomplemented
100C29×#542C2214yescomplemented
101C29×#542C2214yescomplemented
102C29×#542C2218yescomplemented
103C29×#541C2214yescomplemented
104C29×#540C2214yescomplemented
105C29×#540C2214yescomplemented
106C29×#540C2214yescomplemented
107C29×#540C2218yescomplemented
108C29×#540C2218yescomplemented
109C29×#539C2218yescomplemented
110C29×#539C2214yescomplemented
111C29×#539C2218yescomplemented
112C29×#538C2218yescomplemented
113C29×#538C2214yescomplemented
114C29×#538C2218yescomplemented
115C29×#538C2218yescomplemented
116C29×#538C2218yescomplemented
117C29×#538C2218yescomplemented
118C29×#537C2212yescomplemented
119C29×#537C2214yescomplemented
120C29×#537C2212yescomplemented
121C29×#537C2214yescomplemented
122C29×#537C2214yescomplemented
123C29×#536C2212yescomplemented
124C29×#536C2214yescomplemented
125C29×#536C2214yescomplemented
126C29×#535C2212yescomplemented
127C29×#535C2214yescomplemented
128C29×#535C2214yescomplemented
129C29×#535C2214yescomplemented
130C29×#534C2214yescomplemented
131C29×#534C2218yescomplemented
132C29×#533C2211yescharacteristic, complemented
133C29×#533C2211yescharacteristic, complemented
134C29×#533C2211yescharacteristic, complemented
135C29×#532C2211yescharacteristic
136C29×#532C2212yescomplemented
137C29×#532C2211yescharacteristic, complemented
138C29×#532C2212yescomplemented
139C29×#532C2211yescharacteristic, complemented
140C29×#532C2211yescharacteristic, complemented
141C29×#532C2212yescomplemented
142C29×#532C2212yescomplemented
143C29×#532C2212yescomplemented
144C29×#532C2212yescomplemented
145C29×#532C2211yescharacteristic, complemented
146C29×#532C2211yescharacteristic, complemented
147C29×#532C2211yescharacteristic, complemented
148C29×#532C2214yescomplemented
149C29×#532C2214yescomplemented
150C2×C29×C4⋊Q8C2211yescharacteristic, complemented
151C2×C29×#127C2211yescharacteristic, complemented
152C29×#529C2212yescomplemented
153C29×#529C2212yescomplemented
154C29×#529C2212yescomplemented
155C29×#529C2212yescomplemented
156C29×#529C2212yescomplemented
157C29×#529C2212yescomplemented
158C29×#529C2212yescomplemented
159C29×#529C2212yescomplemented
160C29×#529C2212yescomplemented
161C29×#529C2212yescomplemented
162C29×#529C2212yescomplemented
163C29×#529C2212yescomplemented
164C29×#529C2212yescomplemented
165C29×#529C2212yescomplemented
166C29×#529C2214yescomplemented
167C29×#529C2214yescomplemented
168C29×#529C2214yescomplemented
169C2×C29×#126C2212yescomplemented
170C2×C29×#125C2211yescharacteristic, complemented
171C2×C29×#124C2211yescharacteristic, complemented
172C2×C29×#124C2212yescomplemented
173C2×C29×#124C2214yescomplemented
174C29×#525C2212yescomplemented
175C29×#525C2212yescomplemented
176C29×#525C2212yescomplemented
177C29×#525C2214yescomplemented
178C29×#525C2214yescomplemented
179C29×#525C2214yescomplemented
180C2×C29×#123C2212yescomplemented
181C2×C29×C22⋊Q8C2211yescharacteristic, complemented
182C2×C29×C22⋊Q8C2214yescomplemented
183C2×C29×#121C2211yescharacteristic
184C2×C29×#121C2212yescomplemented
185C2×C29×#121C2212yescomplemented
186C2×C29×#121C2214yescomplemented
187C2×C29×#121C2214yescomplemented
188C29×#520C2212yescomplemented
189C29×#520C2212yescomplemented
190C29×#520C2214yescomplemented
191C29×#518C2214yescomplemented
192C29×#518C2218yescomplemented
193C4×#41×C29C2212yescomplemented
194C4×#41×C29C2212yescomplemented
195C4×#41×C29C2212yescomplemented
196C2×C4×Q8×C29C2211yescharacteristic, complemented
197C2×C4×D4×C29C2211yescharacteristic, complemented
198C2×C4×D4×C29C2212yescomplemented
199C2×C4×D4×C29C2212yescomplemented
200C2×C4×D4×C29C2212yescomplemented
201C2×C29×#117C2212yescomplemented
202C22×C42×C29C2211yescharacteristic, complemented
203C29×2−1+4—48no—
204C29×H(5,𝔽2)—48no—
205C2×#41×C29—48no—
206C2×#41×C29C2312yes—
207C2×#41×C29C2312yes—
208C2×#41×C29C2312yes—
209C2×#41×C29C2312yes—
210C2×#41×C29C2312yes—
211C2×#41×C29C2314yes—
212C2×#41×C29C2314yes—
213C2×#41×C29C2314yes—
214C2×#41×C29C2314yes—
215C2×#41×C29C2314yes—
216C2×#41×C29C2312yes—
217C2×#41×C29C2312yes—
218C2×#41×C29C2314yes—
219C2×#41×C29C2314yes—
220C2×#41×C29C2318yes—
221C22×Q8×C29C2311yescharacteristic
222C22×Q8×C29C2314yes—
223C22×Q8×C29C2312yes—
224C22×Q8×C29C2314yes—
225C22×D4×C29C2311yescharacteristic
226C22×D4×C29C2312yes—
227C22×D4×C29C2312yes—
228C22×D4×C29C2312yes—
229C22×D4×C29C2318yes—
230C22×D4×C29C2314yes—
231C22×D4×C29C2314yes—
232C22×D4×C29C2318yes—
233C22×D4×C29C2314yes—
234C22×D4×C29C2312yes—
235C22×D4×C29C2314yes—
236C23×C4×C29C2311yescharacteristic
237C23×C4×C29C2311yescharacteristic
238C23×C4×C29C2311yescharacteristic
239C23×C4×C29C2312yes—
240C23×C4×C29C2314yes—
241C29×C4⋊Q8C2311yescharacteristic
242C29×C4⋊Q8C2312yes—
243C29×C4⋊Q8C2312yes—
244C29×C4⋊Q8C2311yescharacteristic
245C29×C4⋊Q8C2312yes—
246C29×C4⋊Q8C2311yescharacteristic
247C29×C4⋊Q8C2311yescharacteristic
248C29×C4⋊Q8C2311yescharacteristic
249C29×C4⋊Q8C2314yes—
250C29×C4⋊Q8C2314yes—
251C29×C4⋊Q8C2318yes—
252C29×#127C2311yescharacteristic
253C29×#127C2312yes—
254C29×#127C2312yes—
255C29×#127C2311yescharacteristic
256C29×#127C2312yes—
257C29×#127C2311yescharacteristic
258C29×#127C2314yes—
259C29×#127C2314yes—
260C29×#127C2318yes—
261C29×#126C2314yes—
262C29×#126C2314yes—
263C29×#126C2314yes—
264C29×#126C2314yes—
265C29×#126C2314yes—
266C29×#126C2314yes—
267C29×#126C2318yes—
268C29×#126C2318yes—
269C29×#126C2318yes—
270C29×#126C2318yes—
271C29×#126C2318yes—
272C29×#126C2318yes—
273C29×#126C2318yes—
274C29×#125C2312yes—
275C29×#125C2312yes—
276C29×#125C2312yes—
277C29×#125C2312yes—
278C29×#125C2312yes—
279C29×#125C2312yes—
280C29×#125C2312yes—
281C29×#125C2314yes—
282C29×#125C2318yes—
283C29×#125C2318yes—
284C29×#125C2318yes—
285C29×#124C2312yes—
286C29×#124C2312yes—
287C29×#124C2312yes—
288C29×#124C2312yes—
289C29×#124C2312yes—
290C29×#124C2312yes—
291C29×#124C2312yes—
292C29×#124C2314yes—
293C29×#124C2312yes—
294C29×#124C2314yes—
295C29×#124C2314yes—
296C29×#124C2314yes—
297C29×#124C2318yes—
298C29×#124C2318yes—
299C29×#124C2312yes—
300C29×#124C2312yes—
301C29×#124C2312yes—
302C29×#124C2314yes—
303C29×#124C2318yes—
304C29×#124C2318yes—
305C29×#124C2318yes—
306C29×#124C2318yes—
307C29×#123C2314yes—
308C29×#123C2314yes—
309C29×#123C2314yes—
310C29×#123C2314yes—
311C29×#123C2314yes—
312C29×#123C2314yes—
313C29×#123C2314yes—
314C29×#123C2318yes—
315C29×#123C2318yes—
316C29×#123C2318yes—
317C29×#123C2318yes—
318C29×#123C2318yes—
319C29×#123C2318yes—
320C29×#123C2318yes—
321C29×#123C2318yes—
322C29×#123C2318yes—
323C29×#123C2318yes—
324C29×#123C2318yes—
325C29×#123C2318yes—
326C29×#123C2318yes—
327C29×#123C2318yes—
328C29×#123C2318yes—
329C29×#123C2318yes—
330C29×C22⋊Q8C2312yes—
331C29×C22⋊Q8C2312yes—
332C29×C22⋊Q8C2312yes—
333C29×C22⋊Q8C2312yes—
334C29×C22⋊Q8C2312yes—
335C29×C22⋊Q8C2314yes—
336C29×C22⋊Q8C2314yes—
337C29×C22⋊Q8C2318yes—
338C29×C22⋊Q8C2318yes—
339C29×C22⋊Q8C2312yes—
340C29×C22⋊Q8C2312yes—
341C29×C22⋊Q8C2312yes—
342C29×C22⋊Q8C2312yes—
343C29×C22⋊Q8C2312yes—
344C29×C22⋊Q8C2314yes—
345C29×C22⋊Q8C2314yes—
346C29×C22⋊Q8C2314yes—
347C29×C22⋊Q8C2314yes—
348C29×C22⋊Q8C2314yes—
349C29×C22⋊Q8C2318yes—
350C29×C22⋊Q8C2318yes—
351C29×C22⋊Q8C2318yes—
352C29×C22⋊Q8C2318yes—
353C29×C22⋊Q8C2318yes—
354C29×C22⋊Q8C2318yes—
355C29×C22⋊Q8C2318yes—
356C29×#121C2312yes—
357C29×#121C2312yes—
358C29×#121C2312yes—
359C29×#121C2312yes—
360C29×#121C2312yes—
361C29×#121C2312yes—
362C29×#121C2312yes—
363C29×#121C2312yes—
364C29×#121C2312yes—
365C29×#121C2312yes—
366C29×#121C2312yes—
367C29×#121C2314yes—
368C29×#121C2312yes—
369C29×#121C2314yes—
370C29×#121C2314yes—
371C29×#121C2312yes—
372C29×#121C2312yes—
373C29×#121C2314yes—
374C29×#121C2318yes—
375C29×#121C2314yes—
376C29×#121C2314yes—
377C29×#121C2318yes—
378C29×#121C2318yes—
379C29×#121C2318yes—
380C29×#121C2314yes—
381C29×#121C2314yes—
382C29×#121C2312yes—
383C29×#121C2312yes—
384C29×#121C2312yes—
385C29×#121C2312yes—
386C29×#121C2314yes—
387C29×#121C2314yes—
388C29×#121C2314yes—
389C29×#121C2314yes—
390C29×#121C2314yes—
391C29×#121C2318yes—
392C29×#121C2318yes—
393C29×#121C2318yes—
394C29×#121C2318yes—
395C29×#121C2318yes—
396C29×#121C2318yes—
397C29×#121C2318yes—
398C29×#121C2318yes—
399C29×#121C2318yes—
400C29×#121C2318yes—
401C29×#121C2318yes—
402C29×#121C2318yes—
403C29×#121C2318yes—
404C29×#121C2318yes—
405C29×#121C2318yes—
406C29×#121C2318yes—
407C29×#120C2314yes—
408C29×#120C2318yes—
409C29×#120C2318yes—
410C29×#120C2318yes—
411C29×#120C2318yes—
412C29×#120C2318yes—
413C29×#120C2318yes—
414C29×#120C2318yes—
415C29×#120C2318yes—
416C29×#120C2318yes—
417C4×Q8×C29C2312yes—
418C4×Q8×C29C2312yes—
419C4×Q8×C29C2312yes—
420C4×Q8×C29C2312yes—
421C4×Q8×C29C2312yes—
422C4×Q8×C29C2312yes—
423C4×Q8×C29C2312yes—
424C4×Q8×C29C2312yes—
425C4×Q8×C29C2312yes—
426C4×Q8×C29C2312yes—
427C4×Q8×C29C2314yes—
428C4×Q8×C29C2314yes—
429C4×Q8×C29C2314yes—
430C4×D4×C29C2314yes—
431C4×D4×C29C2312yes—
432C4×D4×C29C2312yes—
433C4×D4×C29C2314yes—
434C4×D4×C29C2314yes—
435C4×D4×C29C2312yes—
436C4×D4×C29C2312yes—
437C4×D4×C29C2312yes—
438C4×D4×C29C2312yes—
439C4×D4×C29C2314yes—
440C4×D4×C29C2312yes—
441C4×D4×C29C2312yes—
442C4×D4×C29C2314yes—
443C4×D4×C29C2314yes—
444C4×D4×C29C2314yes—
445C4×D4×C29C2312yes—
446C4×D4×C29C2312yes—
447C4×D4×C29C2312yes—
448C4×D4×C29C2314yes—
449C4×D4×C29C2312yes—
450C4×D4×C29C2314yes—
451C4×D4×C29C2312yes—
452C4×D4×C29C2314yes—
453C4×D4×C29C2314yes—
454C4×D4×C29C2314yes—
455C4×D4×C29C2314yes—
456C4×D4×C29C2314yes—
457C4×D4×C29C2312yes—
458C4×D4×C29C2312yes—
459C4×D4×C29C2312yes—
460C4×D4×C29C2312yes—
461C4×D4×C29C2312yes—
462C4×D4×C29C2318yes—
463C4×D4×C29C2318yes—
464C4×D4×C29C2318yes—
465C4×D4×C29C2318yes—
466C4×D4×C29C2318yes—
467C4×D4×C29C2318yes—
468C4×D4×C29C2314yes—
469C4×D4×C29C2318yes—
470C4×D4×C29C2318yes—
471C4×D4×C29C2314yes—
472C4×D4×C29C2318yes—
473C4×D4×C29C2318yes—
474C4×D4×C29C2318yes—
475C4×D4×C29C2314yes—
476C4×D4×C29C2314yes—
477C4×D4×C29C2318yes—
478C4×D4×C29C2314yes—
479C29×#117C2314yes—
480C29×#117C2314yes—
481C29×#117C2314yes—
482C29×#117C2314yes—
483C29×#117C2312yes—
484C29×#117C2312yes—
485C29×#117C2312yes—
486C29×#117C2314yes—
487C29×#117C2314yes—
488C29×#117C2314yes—
489C29×#117C2314yes—
490C29×#117C2318yes—
491C29×#117C2318yes—
492C29×#117C2314yes—
493C29×#117C2314yes—
494C29×#117C2318yes—
495C2×C4⋊C4×C29C2312yes—
496C2×C4⋊C4×C29C2312yes—
497C2×C4⋊C4×C29C2311yescharacteristic
498C2×C4⋊C4×C29C2312yes—
499C2×C4⋊C4×C29C2312yes—
500C2×C4⋊C4×C29C2312yes—
501C2×C4⋊C4×C29C2311yescharacteristic
502C2×C4⋊C4×C29C2312yes—
503C2×C4⋊C4×C29C2314yes—
504C2×C4⋊C4×C29C2314yes—
505C2×C4⋊C4×C29C2314yes—
506C2×C4⋊C4×C29C2318yes—
507C2×C22⋊C4×C29C2312yes—
508C2×C22⋊C4×C29C2312yes—
509C2×C22⋊C4×C29C2314yes—
510C2×C22⋊C4×C29C2314yes—
511C2×C22⋊C4×C29C2312yes—
512C2×C22⋊C4×C29C2312yes—
513C2×C22⋊C4×C29C2312yes—
514C2×C22⋊C4×C29C2318yes—
515C2×C22⋊C4×C29C2318yes—
516C2×C22⋊C4×C29C2318yes—
517C2×C22⋊C4×C29C2318yes—
518C2×C22⋊C4×C29C2318yes—
519C2×C42×C29C2311yescharacteristic
520C2×C42×C29C2311yescharacteristic
521C2×C42×C29C2311yescharacteristic
522C2×C42×C29C2311yescharacteristic
523C2×C42×C29C2311yescharacteristic
524C2×C42×C29C2311yescharacteristic
525C2×C42×C29C2311yescharacteristic
526C2×C42×C29C2311yescharacteristic
527C2×C42×C29C2311yescharacteristic
528C2×C42×C29C2311yescharacteristic
529C2×C42×C29C2311yescharacteristic
530C2×C42×C29C2311yescharacteristic
531C2×C42×C29C2312yes—
532C2×C42×C29C2314yes—
533C24×C29C2411yescharacteristic
534C24×C29C2412yes—
535C24×C29C2414yes—
536C24×C29C2418yes—
537#41×C29—28no—
538#41×C29—28no—
539#41×C29—28no—
540#41×C29—48no—
541#41×C29—48no—
542#41×C29—44no—
543#41×C29—416no—
544#41×C29—44no—
545#41×C29—44no—
546#41×C29—48no—
547#41×C29—44no—
548#41×C29—48no—
549#41×C29—48no—
550#41×C29—48no—
551#41×C29—48no—
552C2×Q8×C29—24no—
553C2×Q8×C29—44no—
554C2×Q8×C29—48no—
555C2×Q8×C29—48no—
556C2×Q8×C29C2412yes—
557C2×Q8×C29C2412yes—
558C2×Q8×C29C2412yes—
559C2×Q8×C29C2412yes—
560C2×Q8×C29C2412yes—
561C2×Q8×C29C2412yes—
562C2×Q8×C29C2412yes—
563C2×Q8×C29C2418yes—
564C2×Q8×C29C2414yes—
565C2×D4×C29—24no—
566C2×D4×C29—44no—
567C2×D4×C29—48no—
568C2×D4×C29—44no—
569C2×D4×C29—48no—
570C2×D4×C29—48no—
571C2×D4×C29—44no—
572C2×D4×C29—44no—
573C2×D4×C29—416no—
574C2×D4×C29—48no—
575C2×D4×C29—416no—
576C2×D4×C29C2414yes—
577C2×D4×C29C2414yes—
578C2×D4×C29C2412yes—
579C2×D4×C29C2412yes—
580C2×D4×C29C2412yes—
581C2×D4×C29C2414yes—
582C2×D4×C29C2414yes—
583C2×D4×C29C2414yes—
584C2×D4×C29C2412yes—
585C2×D4×C29C2412yes—
586C2×D4×C29C2412yes—
587C2×D4×C29C2412yes—
588C2×D4×C29C2412yes—
589C2×D4×C29C2412yes—
590C2×D4×C29C2418yes—
591C2×D4×C29C2412yes—
592C2×D4×C29C2418yes—
593C2×D4×C29C2414yes—
594C2×D4×C29C2418yes—
595C2×D4×C29C2414yes—
596C2×D4×C29C2414yes—
597C2×D4×C29C2414yes—
598C2×D4×C29C2418yes—
599C2×D4×C29C2412yes—
600C2×D4×C29C2418yes—
601C2×D4×C29C2414yes—
602C2×D4×C29C2418yes—
603C2×D4×C29C2414yes—
604C2×D4×C29C2418yes—
605C2×D4×C29C2414yes—
606C22×C4×C29—24no—
607C22×C4×C29—42no—
608C22×C4×C29—44no—
609C22×C4×C29—48no—
610C22×C4×C29—42no—
611C22×C4×C29C2411yescharacteristic
612C22×C4×C29C2411yescharacteristic
613C22×C4×C29C2411yescharacteristic
614C22×C4×C29C2411yescharacteristic
615C22×C4×C29C2411yescharacteristic
616C22×C4×C29C2411yescharacteristic
617C22×C4×C29C2411yescharacteristic
618C22×C4×C29C2411yescharacteristic
619C22×C4×C29C2411yescharacteristic
620C22×C4×C29C2411yescharacteristic
621C22×C4×C29C2412yes—
622C22×C4×C29C2414yes—
623C22×C4×C29C2414yes—
624C22×C4×C29C2414yes—
625C22×C4×C29C2414yes—
626C22×C4×C29C2411yescharacteristic
627C22×C4×C29C2411yescharacteristic
628C22×C4×C29C2411yescharacteristic
629C22×C4×C29C2411yescharacteristic
630C22×C4×C29C2411yescharacteristic
631C22×C4×C29C2411yescharacteristic
632C22×C4×C29C2411yescharacteristic
633C22×C4×C29C2414yes—
634C22×C4×C29C2414yes—
635C22×C4×C29C2412yes—
636C22×C4×C29C2412yes—
637C22×C4×C29C2414yes—
638C22×C4×C29C2414yes—
639C22×C4×C29C2414yes—
640C22×C4×C29C2418yes—
641C22×C4×C29C2418yes—
642C22×C4×C29C2418yes—
643C22×C4×C29C2418yes—
644C22×C4×C29C2418yes—
645C22×C4×C29C2414yes—
646C22×C4×C29C2411yescharacteristic
647C4⋊C4×C29C2412yes—
648C4⋊C4×C29C2414yes—
649C4⋊C4×C29C2412yes—
650C4⋊C4×C29C2412yes—
651C4⋊C4×C29C2412yes—
652C4⋊C4×C29C2412yes—
653C4⋊C4×C29C2412yes—
654C4⋊C4×C29C2414yes—
655C4⋊C4×C29C2418yes—
656C4⋊C4×C29C2414yes—
657C4⋊C4×C29C2412yes—
658C4⋊C4×C29C2414yes—
659C4⋊C4×C29C2414yes—
660C4⋊C4×C29C2414yes—
661C4⋊C4×C29C2412yes—
662C4⋊C4×C29C2412yes—
663C4⋊C4×C29C2412yes—
664C4⋊C4×C29C2414yes—
665C4⋊C4×C29C2414yes—
666C4⋊C4×C29C2412yes—
667C4⋊C4×C29C2414yes—
668C4⋊C4×C29C2418yes—
669C4⋊C4×C29C2418yes—
670C4⋊C4×C29C2418yes—
671C4⋊C4×C29C2414yes—
672C4⋊C4×C29C2414yes—
673C4⋊C4×C29C2412yes—
674C4⋊C4×C29C2414yes—
675C4⋊C4×C29C2418yes—
676C4⋊C4×C29C2418yes—
677C4⋊C4×C29C2414yes—
678C4⋊C4×C29C2414yes—
679C4⋊C4×C29C2414yes—
680C4⋊C4×C29C2414yes—
681C4⋊C4×C29C2412yes—
682C4⋊C4×C29C2412yes—
683C22⋊C4×C29C2414yes—
684C22⋊C4×C29C2414yes—
685C22⋊C4×C29C2414yes—
686C22⋊C4×C29C2414yes—
687C22⋊C4×C29C2414yes—
688C22⋊C4×C29C2414yes—
689C22⋊C4×C29C2414yes—
690C22⋊C4×C29C2414yes—
691C22⋊C4×C29C2414yes—
692C22⋊C4×C29C2414yes—
693C22⋊C4×C29C2418yes—
694C22⋊C4×C29C2418yes—
695C22⋊C4×C29C2418yes—
696C22⋊C4×C29C2414yes—
697C22⋊C4×C29C2414yes—
698C22⋊C4×C29C2414yes—
699C22⋊C4×C29C2414yes—
700C22⋊C4×C29C2414yes—
701C22⋊C4×C29C2414yes—
702C22⋊C4×C29C2414yes—
703C22⋊C4×C29C2414yes—
704C22⋊C4×C29C2418yes—
705C22⋊C4×C29C2418yes—
706C22⋊C4×C29C2414yes—
707C22⋊C4×C29C2418yes—
708C22⋊C4×C29C2418yes—
709C22⋊C4×C29C2414yes—
710C22⋊C4×C29C2414yes—
711C22⋊C4×C29C2414yes—
712C22⋊C4×C29C2418yes—
713C22⋊C4×C29C2414yes—
714C22⋊C4×C29C2414yes—
715C22⋊C4×C29C2414yes—
716C22⋊C4×C29C2414yes—
717C22⋊C4×C29C2418yes—
718C22⋊C4×C29C2414yes—
719C22⋊C4×C29C2418yes—
720C42×C29C2411yescharacteristic
721C42×C29C2411yescharacteristic
722C42×C29C2411yescharacteristic
723C42×C29C2411yescharacteristic
724C42×C29C2411yescharacteristic
725C42×C29C2411yescharacteristic
726C42×C29C2411yescharacteristic
727C42×C29C2411yescharacteristic
728C42×C29C2411yescharacteristic
729C42×C29C2411yescharacteristic
730C42×C29C2411yescharacteristic
731C42×C29C2411yescharacteristic
732C42×C29C2411yescharacteristic
733C42×C29C2411yescharacteristic
734C42×C29C2411yescharacteristic
735C42×C29C2411yescharacteristic
736C42×C29C2414yes—
737C42×C29C2414yes—
738C42×C29C2414yes—
739C42×C29C2414yes—
740C42×C29C2414yes—
741C42×C29C2418yes—
742C42×C29C2418yes—
743#62830C2911yesmaximal, characteristic, direct product factor, Sylow
744C23×C29—22no—
745C23×C29—22no—
746C23×C29—24no—
747C23×C29—28no—
748C23×C29—41no—
749C23×C29—44no—
750C23×C29—42no—
751C23×C29—44no—
752C23×C29—42no—
753C23×C29—48no—
754C23×C29—48no—
755C23×C29—48no—
756C23×C29C2514yes—
757C23×C29C2514yes—
758C23×C29C2514yes—
759C23×C29C2511yescharacteristic
760C23×C29C2514yes—
761C23×C29C2511yescharacteristic
762C23×C29C2511yescharacteristic
763Q8×C29—24no—
764Q8×C29—24no—
765Q8×C29—24no—
766Q8×C29—24no—
767Q8×C29—24no—
768Q8×C29—24no—
769Q8×C29—48no—
770Q8×C29—44no—
771Q8×C29—42no—
772D4×C29—28no—
773D4×C29—28no—
774D4×C29—28no—
775D4×C29—28no—
776D4×C29—28no—
777D4×C29—24no—
778D4×C29—24no—
779D4×C29—24no—
780D4×C29—24no—
781D4×C29—24no—
782D4×C29—24no—
783D4×C29—24no—
784D4×C29—24no—
785D4×C29—48no—
786D4×C29—48no—
787D4×C29—48no—
788D4×C29—44no—
789D4×C29—42no—
790D4×C29—44no—
791D4×C29—42no—
792D4×C29—44no—
793D4×C29—48no—
794D4×C29—48no—
795D4×C29—44no—
796D4×C29—44no—
797D4×C29—44no—
798D4×C29—42no—
799D4×C29—44no—
800D4×C29—48no—
801D4×C29—48no—
802C2×C4×C29—22no—
803C2×C4×C29—24no—
804C2×C4×C29—22no—
805C2×C4×C29—22no—
806C2×C4×C29—22no—
807C2×C4×C29—22no—
808C2×C4×C29—22no—
809C2×C4×C29—22no—
810C2×C4×C29—28no—
811C2×C4×C29—28no—
812C2×C4×C29—28no—
813C2×C4×C29—22no—
814C2×C4×C29—22no—
815C2×C4×C29—28no—
816C2×C4×C29—22no—
817C2×C4×C29—41no—
818C2×C4×C29—44no—
819C2×C4×C29—41no—
820C2×C4×C29—41no—
821C2×C4×C29—41no—
822C2×C4×C29—41no—
823C2×C4×C29—42no—
824C2×C4×C29—41no—
825C2×C4×C29—41no—
826C2×C4×C29—44no—
827C2×C4×C29—44no—
828C2×C4×C29—44no—
829C2×C4×C29—42no—
830C2×C4×C29—48no—
831C2×C4×C29—48no—
832C2×C4×C29—48no—
833C2×C4×C29—48no—
834C2×C4×C29—44no—
835C2×C4×C29—44no—
836C2×C4×C29—48no—
837C2×C4×C29H(5,𝔽2)14yes—
838C2×C4×C29C2511yescharacteristic
839C2×C4×C29C2511yescharacteristic
840C2×C4×C29C2511yescharacteristic
841C2×C4×C29C2511yescharacteristic
842C2×C4×C29C2514yes—
843C2×C4×C29C2514yes—
844C2×C4×C29C2511yescharacteristic
845C2×C4×C29C2511yescharacteristic
846C2×C4×C29C2511yescharacteristic
847C2×C4×C29C2514yes—
848C2×C4×C29C2511yescharacteristic
849C2×C4×C29C2511yescharacteristic
850C2×C4×C29C2514yes—
851C2×C4×C29C2514yes—
852C2×C4×C29C2514yes—
853C2×C4×C29C2514yes—
854C2×C4×C29C2514yes—
855C2×C4×C29C2511yescharacteristic
856C2×C4×C29C2511yescharacteristic
857C2×C4×C29C2511yescharacteristic
858#3562C2×C2914yescomplemented
859#3560C2×C2914yescomplemented
860#3552C2×C2912yescomplemented
861#3551C2×C2914yescomplemented
862#3547C2×C2912yescomplemented
863#3546C2×C2912yescomplemented
864#3543C2×C2912yescomplemented
865#3534C2×C2914yescomplemented
866#3520C2×C2912yescomplemented
867#3519C2×C2914yescomplemented
868#3519C2×C2912yescomplemented
869#3517C2×C2912yescomplemented
870#3514C2×C2914yescomplemented
871#3514C2×C2912yescomplemented
872#3512C2×C2912yescomplemented
873#3507C2×C2911yescharacteristic, complemented
874#3506C2×C2911yescharacteristic, complemented
875#3505C2×C2914yescomplemented
876#3500C2×C2912yescomplemented
877#3497C2×C2911yescharacteristic, complemented
878#3496C2×C2911yescharacteristic, complemented
879#3494C2×C2914yescomplemented
880#3489C2×C2912yescomplemented
881#3488C2×C2912yescomplemented
882#3444C2×C2911yescharacteristic, complemented
883C2×#532C2×C2911yescharacteristic, complemented
884C2×#529C2×C2911yescharacteristic, complemented
885C22×C29—21no—
886C22×C29—21no—
887C22×C29—21no—
888C22×C29—21no—
889C22×C29—21no—
890C22×C29—24no—
891C22×C29—24no—
892C22×C29—24no—
893C22×C29—24no—
894C22×C29—21no—
895C22×C29—24no—
896C22×C29—24no—
897C22×C29—21no—
898C22×C29—24no—
899C22×C29—24no—
900C22×C29—24no—
901C22×C29—24no—
902C22×C29—24no—
903C22×C29—24no—
904C22×C29—44no—
905C22×C29—88no—
906C22×C29—84no—
907C22×C29—168no—
908C22×C29C2×H(5,𝔽2)12yes—
909C22×C29#58512yes—
910C22×C29C2611yescharacteristic
911C4×C29—21no—
912C4×C29—21no—
913C4×C29—24no—
914C4×C29—24no—
915C4×C29—24no—
916C4×C29—24no—
917C4×C29—21no—
918C4×C29—21no—
919C4×C29—21no—
920C4×C29—24no—
921C4×C29—21no—
922C4×C29—21no—
923C4×C29—21no—
924C4×C29—21no—
925C4×C29—24no—
926C4×C29—24no—
927C4×C29—24no—
928C4×C29C2×H(5,𝔽2)12yes—
929C4×C29C2×H(5,𝔽2)12yes—
930C4×C29#58512yes—
931C2×2−1+4C22×C2912yescomplemented
932C2×H(5,𝔽2)C22×C2912yescomplemented
933C22×#41C22×C2912yescomplemented
934#563C22×C2918yescomplemented
935#562C22×C2918yescomplemented
936#560C22×C2918yescomplemented
937#560C22×C2918yescomplemented
938#559C22×C2914yescomplemented
939#559C22×C2912yescomplemented
940#557C22×C2912yescomplemented
941#556C22×C2912yescomplemented
942#556C22×C2914yescomplemented
943#556C22×C2912yescomplemented
944#555C22×C2918yescomplemented
945#555C22×C2912yescomplemented
946#555C22×C2914yescomplemented
947#554C22×C2912yescomplemented
948#554C22×C2914yescomplemented
949#553C22×C2918yescomplemented
950#553C22×C2918yescomplemented
951#553C22×C2914yescomplemented
952#553C22×C2914yescomplemented
953#553C22×C2918yescomplemented
954#553C22×C2914yescomplemented
955#553C22×C2918yescomplemented
956#553C22×C2914yescomplemented
957#553C22×C2914yescomplemented
958#552C22×C2914yescomplemented
959#552C22×C2914yescomplemented
960#552C22×C2914yescomplemented
961#551C22×C2918yescomplemented
962#551C22×C2918yescomplemented
963#551C22×C2918yescomplemented
964#551C22×C2918yescomplemented
965#550C22×C2914yescomplemented
966#550C22×C2912yescomplemented
967#550C22×C2912yescomplemented
968#550C22×C2912yescomplemented
969#550C22×C2914yescomplemented
970D4×Q8C22×C2914yescomplemented
971D4×Q8C22×C2912yescomplemented
972D4×Q8C22×C2912yescomplemented
973#548C22×C2914yescomplemented
974#548C22×C2914yescomplemented
975#548C22×C2914yescomplemented
976#548C22×C2914yescomplemented
977#548C22×C2914yescomplemented
978#548C22×C2914yescomplemented
979#547C22×C2918yescomplemented
980#547C22×C2914yescomplemented
981#547C22×C2912yescomplemented
982#547C22×C2912yescomplemented
983#547C22×C2912yescomplemented
984#546C22×C2918yescomplemented
985#546C22×C2914yescomplemented
986#546C22×C2914yescomplemented
987#546C22×C2918yescomplemented
988#546C22×C2918yescomplemented
989#546C22×C2914yescomplemented
990#546C22×C2914yescomplemented
991#546C22×C2914yescomplemented
992#546C22×C2914yescomplemented
993#546C22×C2918yescomplemented
994#546C22×C2918yescomplemented
995#546C22×C2914yescomplemented
996#546C22×C2914yescomplemented
997D42C22×C2914yescomplemented
998D42C22×C2918yescomplemented
999D42C22×C2912yescomplemented
1000D42C22×C2912yescomplemented
1001D42C22×C2914yescomplemented
1002#544C22×C2914yescomplemented
1003#542C22×C2914yescomplemented
1004#542C22×C2914yescomplemented
1005#542C22×C2918yescomplemented
1006#541C22×C2914yescomplemented
1007#540C22×C2914yescomplemented
1008#540C22×C2914yescomplemented
1009#540C22×C2914yescomplemented
1010#540C22×C2918yescomplemented
1011#540C22×C2918yescomplemented
1012#539C22×C2918yescomplemented
1013#539C22×C2914yescomplemented
1014#539C22×C2918yescomplemented
1015#538C22×C2918yescomplemented
1016#538C22×C2914yescomplemented
1017#538C22×C2918yescomplemented
1018#538C22×C2918yescomplemented
1019#538C22×C2918yescomplemented
1020#538C22×C2918yescomplemented
1021#537C22×C2912yescomplemented
1022#537C22×C2914yescomplemented
1023#537C22×C2912yescomplemented
1024#537C22×C2914yescomplemented
1025#537C22×C2914yescomplemented
1026#536C22×C2912yescomplemented
1027#536C22×C2914yescomplemented
1028#536C22×C2914yescomplemented
1029#535C22×C2912yescomplemented
1030#535C22×C2914yescomplemented
1031#535C22×C2914yescomplemented
1032#535C22×C2914yescomplemented
1033#534C22×C2914yescomplemented
1034#534C22×C2918yescomplemented
1035#533C22×C2911yescharacteristic, complemented
1036#533C22×C2911yescharacteristic, complemented
1037#533C22×C2911yescharacteristic, complemented
1038#532C22×C2911yescharacteristic
1039#532C22×C2912yescomplemented
1040#532C22×C2911yescharacteristic, complemented
1041#532C22×C2912yescomplemented
1042#532C22×C2911yescharacteristic, complemented
1043#532C22×C2911yescharacteristic, complemented
1044#532C22×C2912yescomplemented
1045#532C22×C2912yescomplemented
1046#532C22×C2912yescomplemented
1047#532C22×C2912yescomplemented
1048#532C22×C2911yescharacteristic, complemented
1049#532C22×C2911yescharacteristic, complemented
1050#532C22×C2911yescharacteristic, complemented
1051#532C22×C2914yescomplemented
1052#532C22×C2914yescomplemented
1053C2×C4⋊Q8C22×C2911yescharacteristic, complemented
1054C2×#127C22×C2911yescharacteristic, complemented
1055#529C22×C2912yescomplemented
1056#529C22×C2912yescomplemented
1057#529C22×C2912yescomplemented
1058#529C22×C2912yescomplemented
1059#529C22×C2912yescomplemented
1060#529C22×C2912yescomplemented
1061#529C22×C2912yescomplemented
1062#529C22×C2912yescomplemented
1063#529C22×C2912yescomplemented
1064#529C22×C2912yescomplemented
1065#529C22×C2912yescomplemented
1066#529C22×C2912yescomplemented
1067#529C22×C2912yescomplemented
1068#529C22×C2912yescomplemented
1069#529C22×C2914yescomplemented
1070#529C22×C2914yescomplemented
1071#529C22×C2914yescomplemented
1072C2×#126C22×C2912yescomplemented
1073C2×#125C22×C2911yescharacteristic, complemented
1074C2×#124C22×C2911yescharacteristic, complemented
1075C2×#124C22×C2912yescomplemented
1076C2×#124C22×C2914yescomplemented
1077#525C22×C2912yescomplemented
1078#525C22×C2912yescomplemented
1079#525C22×C2912yescomplemented
1080#525C22×C2914yescomplemented
1081#525C22×C2914yescomplemented
1082#525C22×C2914yescomplemented
1083C2×#123C22×C2912yescomplemented
1084C2×C22⋊Q8C22×C2911yescharacteristic, complemented
1085C2×C22⋊Q8C22×C2914yescomplemented
1086C2×#121C22×C2911yescharacteristic
1087C2×#121C22×C2912yescomplemented
1088C2×#121C22×C2912yescomplemented
1089C2×#121C22×C2914yescomplemented
1090C2×#121C22×C2914yescomplemented
1091#520C22×C2912yescomplemented
1092#520C22×C2912yescomplemented
1093#520C22×C2914yescomplemented
1094#518C22×C2914yescomplemented
1095#518C22×C2918yescomplemented
1096C4×#41C22×C2912yescomplemented
1097C4×#41C22×C2912yescomplemented
1098C4×#41C22×C2912yescomplemented
1099C2×C4×Q8C22×C2911yescharacteristic, complemented
1100C2×C4×D4C22×C2911yescharacteristic, complemented
1101C2×C4×D4C22×C2912yescomplemented
1102C2×C4×D4C22×C2912yescomplemented
1103C2×C4×D4C22×C2912yescomplemented
1104C2×#117C22×C2912yescomplemented
1105C22×C42C22×C2911yescharacteristic, complemented
1106C2×C29—22no—
1107C2×C29—22no—
1108C2×C29—41no—
1109C2×C29—44no—
1110C2×C29—44no—
1111C2×C29—44no—
1112C2×C29—44no—
1113C2×C29C22×H(5,𝔽2)11yescharacteristic
1114C2×C29C2×#58511yescharacteristic
1115C2×C29C2×#58511yescharacteristic
11162−1+4—48no—
1117H(5,𝔽2)—48no—
1118C2×#41—48no—
1119C2×#41C23×C2912yes—
1120C2×#41C23×C2912yes—
1121C2×#41C23×C2912yes—
1122C2×#41C23×C2912yes—
1123C2×#41C23×C2912yes—
1124C2×#41C23×C2914yes—
1125C2×#41C23×C2914yes—
1126C2×#41C23×C2914yes—
1127C2×#41C23×C2914yes—
1128C2×#41C23×C2914yes—
1129C2×#41C23×C2912yes—
1130C2×#41C23×C2912yes—
1131C2×#41C23×C2914yes—
1132C2×#41C23×C2914yes—
1133C2×#41C23×C2918yes—
1134C22×Q8C23×C2911yescharacteristic
1135C22×Q8C23×C2914yes—
1136C22×Q8C23×C2912yes—
1137C22×Q8C23×C2914yes—
1138C22×D4C23×C2911yescharacteristic
1139C22×D4C23×C2912yes—
1140C22×D4C23×C2912yes—
1141C22×D4C23×C2912yes—
1142C22×D4C23×C2918yes—
1143C22×D4C23×C2914yes—
1144C22×D4C23×C2914yes—
1145C22×D4C23×C2918yes—
1146C22×D4C23×C2914yes—
1147C22×D4C23×C2912yes—
1148C22×D4C23×C2914yes—
1149C23×C4C23×C2911yescharacteristic
1150C23×C4C23×C2912yes—
1151C23×C4C23×C2911yescharacteristic
1152C23×C4C23×C2914yes—
1153C23×C4C23×C2911yescharacteristic
1154C4⋊Q8C23×C2911yescharacteristic
1155C4⋊Q8C23×C2912yes—
1156C4⋊Q8C23×C2912yes—
1157C4⋊Q8C23×C2911yescharacteristic
1158C4⋊Q8C23×C2912yes—
1159C4⋊Q8C23×C2911yescharacteristic
1160C4⋊Q8C23×C2911yescharacteristic
1161C4⋊Q8C23×C2911yescharacteristic
1162C4⋊Q8C23×C2914yes—
1163C4⋊Q8C23×C2914yes—
1164C4⋊Q8C23×C2918yes—
1165#127C23×C2911yescharacteristic
1166#127C23×C2912yes—
1167#127C23×C2912yes—
1168#127C23×C2911yescharacteristic
1169#127C23×C2912yes—
1170#127C23×C2911yescharacteristic
1171#127C23×C2914yes—
1172#127C23×C2914yes—
1173#127C23×C2918yes—
1174#126C23×C2914yes—
1175#126C23×C2914yes—
1176#126C23×C2914yes—
1177#126C23×C2914yes—
1178#126C23×C2914yes—
1179#126C23×C2914yes—
1180#126C23×C2918yes—
1181#126C23×C2918yes—
1182#126C23×C2918yes—
1183#126C23×C2918yes—
1184#126C23×C2918yes—
1185#126C23×C2918yes—
1186#126C23×C2918yes—
1187#125C23×C2912yes—
1188#125C23×C2912yes—
1189#125C23×C2912yes—
1190#125C23×C2912yes—
1191#125C23×C2912yes—
1192#125C23×C2912yes—
1193#125C23×C2912yes—
1194#125C23×C2914yes—
1195#125C23×C2918yes—
1196#125C23×C2918yes—
1197#125C23×C2918yes—
1198#124C23×C2912yes—
1199#124C23×C2912yes—
1200#124C23×C2912yes—
1201#124C23×C2912yes—
1202#124C23×C2912yes—
1203#124C23×C2912yes—
1204#124C23×C2912yes—
1205#124C23×C2914yes—
1206#124C23×C2912yes—
1207#124C23×C2914yes—
1208#124C23×C2914yes—
1209#124C23×C2914yes—
1210#124C23×C2918yes—
1211#124C23×C2918yes—
1212#124C23×C2912yes—
1213#124C23×C2912yes—
1214#124C23×C2912yes—
1215#124C23×C2914yes—
1216#124C23×C2918yes—
1217#124C23×C2918yes—
1218#124C23×C2918yes—
1219#124C23×C2918yes—
1220#123C23×C2914yes—
1221#123C23×C2914yes—
1222#123C23×C2914yes—
1223#123C23×C2914yes—
1224#123C23×C2914yes—
1225#123C23×C2914yes—
1226#123C23×C2914yes—
1227#123C23×C2918yes—
1228#123C23×C2918yes—
1229#123C23×C2918yes—
1230#123C23×C2918yes—
1231#123C23×C2918yes—
1232#123C23×C2918yes—
1233#123C23×C2918yes—
1234#123C23×C2918yes—
1235#123C23×C2918yes—
1236#123C23×C2918yes—
1237#123C23×C2918yes—
1238#123C23×C2918yes—
1239#123C23×C2918yes—
1240#123C23×C2918yes—
1241#123C23×C2918yes—
1242#123C23×C2918yes—
1243C22⋊Q8C23×C2912yes—
1244C22⋊Q8C23×C2912yes—
1245C22⋊Q8C23×C2912yes—
1246C22⋊Q8C23×C2912yes—
1247C22⋊Q8C23×C2912yes—
1248C22⋊Q8C23×C2914yes—
1249C22⋊Q8C23×C2914yes—
1250C22⋊Q8C23×C2918yes—
1251C22⋊Q8C23×C2918yes—
1252C22⋊Q8C23×C2912yes—
1253C22⋊Q8C23×C2912yes—
1254C22⋊Q8C23×C2912yes—
1255C22⋊Q8C23×C2912yes—
1256C22⋊Q8C23×C2912yes—
1257C22⋊Q8C23×C2914yes—
1258C22⋊Q8C23×C2914yes—
1259C22⋊Q8C23×C2914yes—
1260C22⋊Q8C23×C2914yes—
1261C22⋊Q8C23×C2914yes—
1262C22⋊Q8C23×C2918yes—
1263C22⋊Q8C23×C2918yes—
1264C22⋊Q8C23×C2918yes—
1265C22⋊Q8C23×C2918yes—
1266C22⋊Q8C23×C2918yes—
1267C22⋊Q8C23×C2918yes—
1268C22⋊Q8C23×C2918yes—
1269#121C23×C2912yes—
1270#121C23×C2912yes—
1271#121C23×C2912yes—
1272#121C23×C2912yes—
1273#121C23×C2912yes—
1274#121C23×C2912yes—
1275#121C23×C2912yes—
1276#121C23×C2912yes—
1277#121C23×C2912yes—
1278#121C23×C2912yes—
1279#121C23×C2912yes—
1280#121C23×C2914yes—
1281#121C23×C2912yes—
1282#121C23×C2914yes—
1283#121C23×C2914yes—
1284#121C23×C2912yes—
1285#121C23×C2912yes—
1286#121C23×C2914yes—
1287#121C23×C2918yes—
1288#121C23×C2914yes—
1289#121C23×C2914yes—
1290#121C23×C2918yes—
1291#121C23×C2918yes—
1292#121C23×C2918yes—
1293#121C23×C2914yes—
1294#121C23×C2914yes—
1295#121C23×C2912yes—
1296#121C23×C2912yes—
1297#121C23×C2912yes—
1298#121C23×C2912yes—
1299#121C23×C2914yes—
1300#121C23×C2914yes—
1301#121C23×C2914yes—
1302#121C23×C2914yes—
1303#121C23×C2914yes—
1304#121C23×C2918yes—
1305#121C23×C2918yes—
1306#121C23×C2918yes—
1307#121C23×C2918yes—
1308#121C23×C2918yes—
1309#121C23×C2918yes—
1310#121C23×C2918yes—
1311#121C23×C2918yes—
1312#121C23×C2918yes—
1313#121C23×C2918yes—
1314#121C23×C2918yes—
1315#121C23×C2918yes—
1316#121C23×C2918yes—
1317#121C23×C2918yes—
1318#121C23×C2918yes—
1319#121C23×C2918yes—
1320#120C23×C2914yes—
1321#120C23×C2918yes—
1322#120C23×C2918yes—
1323#120C23×C2918yes—
1324#120C23×C2918yes—
1325#120C23×C2918yes—
1326#120C23×C2918yes—
1327#120C23×C2918yes—
1328#120C23×C2918yes—
1329#120C23×C2918yes—
1330C4×Q8C23×C2912yes—
1331C4×Q8C23×C2912yes—
1332C4×Q8C23×C2912yes—
1333C4×Q8C23×C2912yes—
1334C4×Q8C23×C2912yes—
1335C4×Q8C23×C2912yes—
1336C4×Q8C23×C2912yes—
1337C4×Q8C23×C2912yes—
1338C4×Q8C23×C2912yes—
1339C4×Q8C23×C2912yes—
1340C4×Q8C23×C2914yes—
1341C4×Q8C23×C2914yes—
1342C4×Q8C23×C2914yes—
1343C4×D4C23×C2914yes—
1344C4×D4C23×C2912yes—
1345C4×D4C23×C2912yes—
1346C4×D4C23×C2914yes—
1347C4×D4C23×C2914yes—
1348C4×D4C23×C2912yes—
1349C4×D4C23×C2912yes—
1350C4×D4C23×C2912yes—
1351C4×D4C23×C2912yes—
1352C4×D4C23×C2914yes—
1353C4×D4C23×C2912yes—
1354C4×D4C23×C2912yes—
1355C4×D4C23×C2914yes—
1356C4×D4C23×C2914yes—
1357C4×D4C23×C2914yes—
1358C4×D4C23×C2912yes—
1359C4×D4C23×C2912yes—
1360C4×D4C23×C2912yes—
1361C4×D4C23×C2914yes—
1362C4×D4C23×C2912yes—
1363C4×D4C23×C2914yes—
1364C4×D4C23×C2912yes—
1365C4×D4C23×C2914yes—
1366C4×D4C23×C2914yes—
1367C4×D4C23×C2914yes—
1368C4×D4C23×C2914yes—
1369C4×D4C23×C2914yes—
1370C4×D4C23×C2912yes—
1371C4×D4C23×C2912yes—
1372C4×D4C23×C2912yes—
1373C4×D4C23×C2912yes—
1374C4×D4C23×C2912yes—
1375C4×D4C23×C2918yes—
1376C4×D4C23×C2918yes—
1377C4×D4C23×C2918yes—
1378C4×D4C23×C2918yes—
1379C4×D4C23×C2918yes—
1380C4×D4C23×C2918yes—
1381C4×D4C23×C2914yes—
1382C4×D4C23×C2918yes—
1383C4×D4C23×C2918yes—
1384C4×D4C23×C2914yes—
1385C4×D4C23×C2918yes—
1386C4×D4C23×C2918yes—
1387C4×D4C23×C2918yes—
1388C4×D4C23×C2914yes—
1389C4×D4C23×C2914yes—
1390C4×D4C23×C2918yes—
1391C4×D4C23×C2914yes—
1392#117C23×C2914yes—
1393#117C23×C2914yes—
1394#117C23×C2914yes—
1395#117C23×C2914yes—
1396#117C23×C2912yes—
1397#117C23×C2912yes—
1398#117C23×C2912yes—
1399#117C23×C2914yes—
1400#117C23×C2914yes—
1401#117C23×C2914yes—
1402#117C23×C2914yes—
1403#117C23×C2918yes—
1404#117C23×C2918yes—
1405#117C23×C2914yes—
1406#117C23×C2914yes—
1407#117C23×C2918yes—
1408C2×C4⋊C4C23×C2912yes—
1409C2×C4⋊C4C23×C2912yes—
1410C2×C4⋊C4C23×C2911yescharacteristic
1411C2×C4⋊C4C23×C2912yes—
1412C2×C4⋊C4C23×C2912yes—
1413C2×C4⋊C4C23×C2912yes—
1414C2×C4⋊C4C23×C2911yescharacteristic
1415C2×C4⋊C4C23×C2912yes—
1416C2×C4⋊C4C23×C2914yes—
1417C2×C4⋊C4C23×C2914yes—
1418C2×C4⋊C4C23×C2914yes—
1419C2×C4⋊C4C23×C2918yes—
1420C2×C22⋊C4C23×C2912yes—
1421C2×C22⋊C4C23×C2912yes—
1422C2×C22⋊C4C23×C2914yes—
1423C2×C22⋊C4C23×C2914yes—
1424C2×C22⋊C4C23×C2912yes—
1425C2×C22⋊C4C23×C2912yes—
1426C2×C22⋊C4C23×C2912yes—
1427C2×C22⋊C4C23×C2918yes—
1428C2×C22⋊C4C23×C2918yes—
1429C2×C22⋊C4C23×C2918yes—
1430C2×C22⋊C4C23×C2918yes—
1431C2×C22⋊C4C23×C2918yes—
1432C2×C42C23×C2911yescharacteristic
1433C2×C42C23×C2912yes—
1434C2×C42C23×C2911yescharacteristic
1435C2×C42C23×C2911yescharacteristic
1436C2×C42C23×C2911yescharacteristic
1437C2×C42C23×C2914yes—
1438C2×C42C23×C2911yescharacteristic
1439C2×C42C23×C2911yescharacteristic
1440C2×C42C23×C2911yescharacteristic
1441C2×C42C23×C2911yescharacteristic
1442C2×C42C23×C2911yescharacteristic
1443C2×C42C23×C2911yescharacteristic
1444C2×C42C23×C2911yescharacteristic
1445C2×C42C23×C2911yescharacteristic
1446C29#6283011yescharacteristic, direct product factor, Sylow
1447C24C24×C2911yescharacteristic
1448C24C24×C2912yes—
1449C24C24×C2914yes—
1450C24C24×C2918yes—
1451#41—28no—
1452#41—28no—
1453#41—28no—
1454#41—48no—
1455#41—48no—
1456#41—416no—
1457#41—44no—
1458#41—44no—
1459#41—44no—
1460#41—48no—
1461#41—48no—
1462#41—48no—
1463#41—48no—
1464#41—48no—
1465#41—44no—
1466C2×Q8—24no—
1467C2×Q8—44no—
1468C2×Q8—48no—
1469C2×Q8—48no—
1470C2×Q8C24×C2912yes—
1471C2×Q8C24×C2912yes—
1472C2×Q8C24×C2912yes—
1473C2×Q8C24×C2912yes—
1474C2×Q8C24×C2912yes—
1475C2×Q8C24×C2912yes—
1476C2×Q8C24×C2912yes—
1477C2×Q8C24×C2918yes—
1478C2×Q8C24×C2914yes—
1479C2×D4—24no—
1480C2×D4—44no—
1481C2×D4—48no—
1482C2×D4—48no—
1483C2×D4—44no—
1484C2×D4—48no—
1485C2×D4—44no—
1486C2×D4—48no—
1487C2×D4—416no—
1488C2×D4—44no—
1489C2×D4—416no—
1490C2×D4C24×C2914yes—
1491C2×D4C24×C2914yes—
1492C2×D4C24×C2912yes—
1493C2×D4C24×C2912yes—
1494C2×D4C24×C2912yes—
1495C2×D4C24×C2914yes—
1496C2×D4C24×C2914yes—
1497C2×D4C24×C2914yes—
1498C2×D4C24×C2912yes—
1499C2×D4C24×C2912yes—
1500C2×D4C24×C2912yes—
1501C2×D4C24×C2912yes—
1502C2×D4C24×C2912yes—
1503C2×D4C24×C2912yes—
1504C2×D4C24×C2918yes—
1505C2×D4C24×C2912yes—
1506C2×D4C24×C2918yes—
1507C2×D4C24×C2914yes—
1508C2×D4C24×C2918yes—
1509C2×D4C24×C2914yes—
1510C2×D4C24×C2914yes—
1511C2×D4C24×C2914yes—
1512C2×D4C24×C2918yes—
1513C2×D4C24×C2912yes—
1514C2×D4C24×C2918yes—
1515C2×D4C24×C2914yes—
1516C2×D4C24×C2918yes—
1517C2×D4C24×C2914yes—
1518C2×D4C24×C2918yes—
1519C2×D4C24×C2914yes—
1520C22×C4—24no—
1521C22×C4—48no—
1522C22×C4—42no—
1523C22×C4—44no—
1524C22×C4—42no—
1525C22×C4C24×C2911yescharacteristic
1526C22×C4C24×C2911yescharacteristic
1527C22×C4C24×C2911yescharacteristic
1528C22×C4C24×C2911yescharacteristic
1529C22×C4C24×C2911yescharacteristic
1530C22×C4C24×C2911yescharacteristic
1531C22×C4C24×C2911yescharacteristic
1532C22×C4C24×C2911yescharacteristic
1533C22×C4C24×C2911yescharacteristic
1534C22×C4C24×C2911yescharacteristic
1535C22×C4C24×C2912yes—
1536C22×C4C24×C2914yes—
1537C22×C4C24×C2914yes—
1538C22×C4C24×C2914yes—
1539C22×C4C24×C2914yes—
1540C22×C4C24×C2911yescharacteristic
1541C22×C4C24×C2911yescharacteristic
1542C22×C4C24×C2911yescharacteristic
1543C22×C4C24×C2911yescharacteristic
1544C22×C4C24×C2911yescharacteristic
1545C22×C4C24×C2911yescharacteristic
1546C22×C4C24×C2911yescharacteristic
1547C22×C4C24×C2914yes—
1548C22×C4C24×C2914yes—
1549C22×C4C24×C2912yes—
1550C22×C4C24×C2912yes—
1551C22×C4C24×C2914yes—
1552C22×C4C24×C2914yes—
1553C22×C4C24×C2914yes—
1554C22×C4C24×C2918yes—
1555C22×C4C24×C2918yes—
1556C22×C4C24×C2918yes—
1557C22×C4C24×C2918yes—
1558C22×C4C24×C2918yes—
1559C22×C4C24×C2914yes—
1560C22×C4C24×C2911yescharacteristic
1561C4⋊C4C24×C2912yes—
1562C4⋊C4C24×C2914yes—
1563C4⋊C4C24×C2912yes—
1564C4⋊C4C24×C2912yes—
1565C4⋊C4C24×C2912yes—
1566C4⋊C4C24×C2912yes—
1567C4⋊C4C24×C2912yes—
1568C4⋊C4C24×C2914yes—
1569C4⋊C4C24×C2918yes—
1570C4⋊C4C24×C2914yes—
1571C4⋊C4C24×C2912yes—
1572C4⋊C4C24×C2914yes—
1573C4⋊C4C24×C2914yes—
1574C4⋊C4C24×C2914yes—
1575C4⋊C4C24×C2912yes—
1576C4⋊C4C24×C2912yes—
1577C4⋊C4C24×C2912yes—
1578C4⋊C4C24×C2914yes—
1579C4⋊C4C24×C2914yes—
1580C4⋊C4C24×C2912yes—
1581C4⋊C4C24×C2914yes—
1582C4⋊C4C24×C2918yes—
1583C4⋊C4C24×C2918yes—
1584C4⋊C4C24×C2918yes—
1585C4⋊C4C24×C2914yes—
1586C4⋊C4C24×C2914yes—
1587C4⋊C4C24×C2912yes—
1588C4⋊C4C24×C2914yes—
1589C4⋊C4C24×C2918yes—
1590C4⋊C4C24×C2918yes—
1591C4⋊C4C24×C2914yes—
1592C4⋊C4C24×C2914yes—
1593C4⋊C4C24×C2914yes—
1594C4⋊C4C24×C2914yes—
1595C4⋊C4C24×C2912yes—
1596C4⋊C4C24×C2912yes—
1597C22⋊C4C24×C2914yes—
1598C22⋊C4C24×C2914yes—
1599C22⋊C4C24×C2914yes—
1600C22⋊C4C24×C2914yes—
1601C22⋊C4C24×C2914yes—
1602C22⋊C4C24×C2914yes—
1603C22⋊C4C24×C2914yes—
1604C22⋊C4C24×C2914yes—
1605C22⋊C4C24×C2914yes—
1606C22⋊C4C24×C2914yes—
1607C22⋊C4C24×C2918yes—
1608C22⋊C4C24×C2918yes—
1609C22⋊C4C24×C2918yes—
1610C22⋊C4C24×C2914yes—
1611C22⋊C4C24×C2914yes—
1612C22⋊C4C24×C2914yes—
1613C22⋊C4C24×C2914yes—
1614C22⋊C4C24×C2914yes—
1615C22⋊C4C24×C2914yes—
1616C22⋊C4C24×C2914yes—
1617C22⋊C4C24×C2914yes—
1618C22⋊C4C24×C2918yes—
1619C22⋊C4C24×C2918yes—
1620C22⋊C4C24×C2914yes—
1621C22⋊C4C24×C2918yes—
1622C22⋊C4C24×C2918yes—
1623C22⋊C4C24×C2914yes—
1624C22⋊C4C24×C2914yes—
1625C22⋊C4C24×C2914yes—
1626C22⋊C4C24×C2918yes—
1627C22⋊C4C24×C2914yes—
1628C22⋊C4C24×C2914yes—
1629C22⋊C4C24×C2914yes—
1630C22⋊C4C24×C2914yes—
1631C22⋊C4C24×C2918yes—
1632C22⋊C4C24×C2914yes—
1633C22⋊C4C24×C2918yes—
1634C42C24×C2911yescharacteristic
1635C42C24×C2911yescharacteristic
1636C42C24×C2911yescharacteristic
1637C42C24×C2911yescharacteristic
1638C42C24×C2911yescharacteristic
1639C42C24×C2911yescharacteristic
1640C42C24×C2911yescharacteristic
1641C42C24×C2911yescharacteristic
1642C42C24×C2911yescharacteristic
1643C42C24×C2911yescharacteristic
1644C42C24×C2911yescharacteristic
1645C42C24×C2911yescharacteristic
1646C42C24×C2911yescharacteristic
1647C42C24×C2911yescharacteristic
1648C42C24×C2911yescharacteristic
1649C42C24×C2911yescharacteristic
1650C42C24×C2914yes—
1651C42C24×C2914yes—
1652C42C24×C2914yes—
1653C42C24×C2914yes—
1654C42C24×C2914yes—
1655C42C24×C2918yes—
1656C42C24×C2918yes—
1657C23—22no—
1658C23—22no—
1659C23—24no—
1660C23—28no—
1661C23—41no—
1662C23—44no—
1663C23—42no—
1664C23—44no—
1665C23—42no—
1666C23—48no—
1667C23—48no—
1668C23—48no—
1669C23C25×C2914yes—
1670C23C25×C2914yes—
1671C23C25×C2914yes—
1672C23C25×C2911yescharacteristic
1673C23C25×C2914yes—
1674C23C25×C2911yescharacteristic
1675C23C25×C2911yescharacteristic
1676Q8—24no—
1677Q8—24no—
1678Q8—24no—
1679Q8—24no—
1680Q8—24no—
1681Q8—24no—
1682Q8—48no—
1683Q8—44no—
1684Q8—42no—
1685D4—28no—
1686D4—28no—
1687D4—28no—
1688D4—28no—
1689D4—28no—
1690D4—24no—
1691D4—24no—
1692D4—24no—
1693D4—24no—
1694D4—24no—
1695D4—24no—
1696D4—24no—
1697D4—24no—
1698D4—48no—
1699D4—48no—
1700D4—44no—
1701D4—44no—
1702D4—44no—
1703D4—48no—
1704D4—44no—
1705D4—42no—
1706D4—44no—
1707D4—42no—
1708D4—44no—
1709D4—48no—
1710D4—48no—
1711D4—48no—
1712D4—42no—
1713D4—44no—
1714D4—48no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—28no—
1724C2×C4—28no—
1725C2×C4—28no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—28no—
1729C2×C4—22no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—44no—
1733C2×C4—41no—
1734C2×C4—44no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—42no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—48no—
1743C2×C4—42no—
1744C2×C4—48no—
1745C2×C4—48no—
1746C2×C4—48no—
1747C2×C4—44no—
1748C2×C4—44no—
1749C2×C4—48no—
1750C2×C4C29×H(5,𝔽2)14yes—
1751C2×C4C25×C2911yescharacteristic
1752C2×C4C25×C2911yescharacteristic
1753C2×C4C25×C2911yescharacteristic
1754C2×C4C25×C2911yescharacteristic
1755C2×C4C25×C2914yes—
1756C2×C4C25×C2914yes—
1757C2×C4C25×C2911yescharacteristic
1758C2×C4C25×C2911yescharacteristic
1759C2×C4C25×C2911yescharacteristic
1760C2×C4C25×C2914yes—
1761C2×C4C25×C2911yescharacteristic
1762C2×C4C25×C2911yescharacteristic
1763C2×C4C25×C2914yes—
1764C2×C4C25×C2914yes—
1765C2×C4C25×C2914yes—
1766C2×C4C25×C2914yes—
1767C2×C4C25×C2914yes—
1768C2×C4C25×C2911yescharacteristic
1769C2×C4C25×C2911yescharacteristic
1770C2×C4C25×C2911yescharacteristic
1771C22—21no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—24no—
1777C22—24no—
1778C22—24no—
1779C22—24no—
1780C22—21no—
1781C22—24no—
1782C22—24no—
1783C22—21no—
1784C22—24no—
1785C22—24no—
1786C22—24no—
1787C22—24no—
1788C22—24no—
1789C22—24no—
1790C22—44no—
1791C22—88no—
1792C22—84no—
1793C22—168no—
1794C22C2×C29×H(5,𝔽2)12yes—
1795C22C29×#58512yes—
1796C22C26×C2911yescharacteristic
1797C4—21no—
1798C4—21no—
1799C4—24no—
1800C4—24no—
1801C4—24no—
1802C4—24no—
1803C4—21no—
1804C4—21no—
1805C4—21no—
1806C4—24no—
1807C4—21no—
1808C4—21no—
1809C4—21no—
1810C4—21no—
1811C4—24no—
1812C4—24no—
1813C4—24no—
1814C4C2×C29×H(5,𝔽2)12yes—
1815C4C2×C29×H(5,𝔽2)12yes—
1816C4C29×#58512yes—
1817C2—22no—
1818C2—22no—
1819C2—41no—
1820C2—44no—
1821C2—44no—
1822C2—44no—
1823C2—44no—
1824C2C22×C29×H(5,𝔽2)11yescharacteristic
1825C2C2×C29×#58511yescharacteristic
1826C2C2×C29×#58511yescharacteristic
subgroupG/H
center, socleC22×C29C26
commutator, Frattini, cosocleC22C26×C29
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#3562C2semidirect
2. C29×#3560C2semidirect
3. C29×#3552C2semidirect
4. C29×#3551C2semidirect
5. C29×#3547C2semidirect
6. C29×#3546C2semidirect
7. C29×#3543C2semidirect
8. C29×#3534C2semidirect
9. C29×#3520C2semidirect
10. C29×#3519C2semidirect
11. C29×#3519C2semidirect
12. C29×#3517C2semidirect
13. C29×#3514C2semidirect
14. C29×#3514C2semidirect
15. C29×#3512C2semidirect
16. C29×#3507C2semidirect
17. C29×#3506C2semidirect
18. C29×#3505C2semidirect
19. C29×#3500C2semidirect
20. C29×#3497C2semidirect
21. C29×#3496C2semidirect
22. C29×#3494C2semidirect
23. C29×#3489C2semidirect
24. C29×#3488C2semidirect
25. C29×#3444C2semidirect
26. C2×C29×#532C2semidirect
27. C2×C29×#529C2semidirect
28. C2×C29×2−1+4C22semidirect
29. C2×C29×H(5,𝔽2)C22semidirect
30. C22×#41×C29C22semidirect
31. C29×#563C22semidirect
32. C29×#562C22semidirect
33. C29×#560C22semidirect
34. C29×#560C22semidirect
35. C29×#559C22semidirect
36. C29×#559C22semidirect
37. C29×#557C22semidirect
38. C29×#556C22semidirect
39. C29×#556C22semidirect
40. C29×#556C22semidirect
41. C29×#555C22semidirect
42. C29×#555C22semidirect
43. C29×#555C22semidirect
44. C29×#554C22semidirect
45. C29×#554C22semidirect
46. C29×#553C22semidirect
47. C29×#553C22semidirect
48. C29×#553C22semidirect
49. C29×#553C22semidirect
50. C29×#553C22semidirect
51. C29×#553C22semidirect
52. C29×#553C22semidirect
53. C29×#553C22semidirect
54. C29×#553C22semidirect
55. C29×#552C22semidirect
56. C29×#552C22semidirect
57. C29×#552C22semidirect
58. C29×#551C22semidirect
59. C29×#551C22semidirect
60. C29×#551C22semidirect
61. C29×#551C22semidirect
62. C29×#550C22semidirect
63. C29×#550C22semidirect
64. C29×#550C22semidirect
65. C29×#550C22semidirect
66. C29×#550C22semidirect
67. D4×Q8×C29C22semidirect
68. D4×Q8×C29C22semidirect
69. D4×Q8×C29C22semidirect
70. C29×#548C22semidirect
71. C29×#548C22semidirect
72. C29×#548C22semidirect
73. C29×#548C22semidirect
74. C29×#548C22semidirect
75. C29×#548C22semidirect
76. C29×#547C22semidirect
77. C29×#547C22semidirect
78. C29×#547C22semidirect
79. C29×#547C22semidirect
80. C29×#547C22semidirect
81. C29×#546C22semidirect
82. C29×#546C22semidirect
83. C29×#546C22semidirect
84. C29×#546C22semidirect
85. C29×#546C22semidirect
86. C29×#546C22semidirect
87. C29×#546C22semidirect
88. C29×#546C22semidirect
89. C29×#546C22semidirect
90. C29×#546C22semidirect
91. C29×#546C22semidirect
92. C29×#546C22semidirect
93. C29×#546C22semidirect
94. D42×C29C22semidirect
95. D42×C29C22semidirect
96. D42×C29C22semidirect
97. D42×C29C22semidirect
98. D42×C29C22semidirect
99. C29×#544C22semidirect
100. C29×#542C22semidirect
101. C29×#542C22semidirect
102. C29×#542C22semidirect
103. C29×#541C22semidirect
104. C29×#540C22semidirect
105. C29×#540C22semidirect
106. C29×#540C22semidirect
107. C29×#540C22semidirect
108. C29×#540C22semidirect
109. C29×#539C22semidirect
110. C29×#539C22semidirect
111. C29×#539C22semidirect
112. C29×#538C22semidirect
113. C29×#538C22semidirect
114. C29×#538C22semidirect
115. C29×#538C22semidirect
116. C29×#538C22semidirect
117. C29×#538C22semidirect
118. C29×#537C22semidirect
119. C29×#537C22semidirect
120. C29×#537C22semidirect
121. C29×#537C22semidirect
122. C29×#537C22semidirect
123. C29×#536C22semidirect
124. C29×#536C22semidirect
125. C29×#536C22semidirect
126. C29×#535C22semidirect
127. C29×#535C22semidirect
128. C29×#535C22semidirect
129. C29×#535C22semidirect
130. C29×#534C22semidirect
131. C29×#534C22semidirect
132. C29×#533C22semidirect
133. C29×#533C22semidirect
134. C29×#533C22semidirect
136. C29×#532C22semidirect
137. C29×#532C22semidirect
138. C29×#532C22semidirect
139. C29×#532C22semidirect
140. C29×#532C22semidirect
141. C29×#532C22semidirect
142. C29×#532C22semidirect
143. C29×#532C22semidirect
144. C29×#532C22semidirect
145. C29×#532C22semidirect
146. C29×#532C22semidirect
147. C29×#532C22semidirect
148. C29×#532C22semidirect
149. C29×#532C22semidirect
150. C2×C29×C4⋊Q8C22semidirect
151. C2×C29×#127C22semidirect
152. C29×#529C22semidirect
153. C29×#529C22semidirect
154. C29×#529C22semidirect
155. C29×#529C22semidirect
156. C29×#529C22semidirect
157. C29×#529C22semidirect
158. C29×#529C22semidirect
159. C29×#529C22semidirect
160. C29×#529C22semidirect
161. C29×#529C22semidirect
162. C29×#529C22semidirect
163. C29×#529C22semidirect
164. C29×#529C22semidirect
165. C29×#529C22semidirect
166. C29×#529C22semidirect
167. C29×#529C22semidirect
168. C29×#529C22semidirect
169. C2×C29×#126C22semidirect
170. C2×C29×#125C22semidirect
171. C2×C29×#124C22semidirect
172. C2×C29×#124C22semidirect
173. C2×C29×#124C22semidirect
174. C29×#525C22semidirect
175. C29×#525C22semidirect
176. C29×#525C22semidirect
177. C29×#525C22semidirect
178. C29×#525C22semidirect
179. C29×#525C22semidirect
180. C2×C29×#123C22semidirect
181. C2×C29×C22⋊Q8C22semidirect
182. C2×C29×C22⋊Q8C22semidirect
184. C2×C29×#121C22semidirect
185. C2×C29×#121C22semidirect
186. C2×C29×#121C22semidirect
187. C2×C29×#121C22semidirect
188. C29×#520C22semidirect
189. C29×#520C22semidirect
190. C29×#520C22semidirect
191. C29×#518C22semidirect
192. C29×#518C22semidirect
193. C4×#41×C29C22semidirect
194. C4×#41×C29C22semidirect
195. C4×#41×C29C22semidirect
196. C2×C4×Q8×C29C22semidirect
197. C2×C4×D4×C29C22semidirect
198. C2×C4×D4×C29C22semidirect
199. C2×C4×D4×C29C22semidirect
200. C2×C4×D4×C29C22semidirect
201. C2×C29×#117C22semidirect
202. C22×C42×C29C22semidirect
743. #62830C29direct (N × H)
858. #3562C2×C29semidirect
859. #3560C2×C29semidirect
860. #3552C2×C29semidirect
861. #3551C2×C29semidirect
862. #3547C2×C29semidirect
863. #3546C2×C29semidirect
864. #3543C2×C29semidirect
865. #3534C2×C29semidirect
866. #3520C2×C29semidirect
867. #3519C2×C29semidirect
868. #3519C2×C29semidirect
869. #3517C2×C29semidirect
870. #3514C2×C29semidirect
871. #3514C2×C29semidirect
872. #3512C2×C29semidirect
873. #3507C2×C29semidirect
874. #3506C2×C29semidirect
875. #3505C2×C29semidirect
876. #3500C2×C29semidirect
877. #3497C2×C29semidirect
878. #3496C2×C29semidirect
879. #3494C2×C29semidirect
880. #3489C2×C29semidirect
881. #3488C2×C29semidirect
882. #3444C2×C29semidirect
883. C2×#532C2×C29semidirect
884. C2×#529C2×C29semidirect
931. C2×2−1+4C22×C29semidirect
932. C2×H(5,𝔽2)C22×C29semidirect
933. C22×#41C22×C29semidirect
934. #563C22×C29semidirect
935. #562C22×C29semidirect
936. #560C22×C29semidirect
937. #560C22×C29semidirect
938. #559C22×C29semidirect
939. #559C22×C29semidirect
940. #557C22×C29semidirect
941. #556C22×C29semidirect
942. #556C22×C29semidirect
943. #556C22×C29semidirect
944. #555C22×C29semidirect
945. #555C22×C29semidirect
946. #555C22×C29semidirect
947. #554C22×C29semidirect
948. #554C22×C29semidirect
949. #553C22×C29semidirect
950. #553C22×C29semidirect
951. #553C22×C29semidirect
952. #553C22×C29semidirect
953. #553C22×C29semidirect
954. #553C22×C29semidirect
955. #553C22×C29semidirect
956. #553C22×C29semidirect
957. #553C22×C29semidirect
958. #552C22×C29semidirect
959. #552C22×C29semidirect
960. #552C22×C29semidirect
961. #551C22×C29semidirect
962. #551C22×C29semidirect
963. #551C22×C29semidirect
964. #551C22×C29semidirect
965. #550C22×C29semidirect
966. #550C22×C29semidirect
967. #550C22×C29semidirect
968. #550C22×C29semidirect
969. #550C22×C29semidirect
970. D4×Q8C22×C29semidirect
971. D4×Q8C22×C29semidirect
972. D4×Q8C22×C29semidirect
973. #548C22×C29semidirect
974. #548C22×C29semidirect
975. #548C22×C29semidirect
976. #548C22×C29semidirect
977. #548C22×C29semidirect
978. #548C22×C29semidirect
979. #547C22×C29semidirect
980. #547C22×C29semidirect
981. #547C22×C29semidirect
982. #547C22×C29semidirect
983. #547C22×C29semidirect
984. #546C22×C29semidirect
985. #546C22×C29semidirect
986. #546C22×C29semidirect
987. #546C22×C29semidirect
988. #546C22×C29semidirect
989. #546C22×C29semidirect
990. #546C22×C29semidirect
991. #546C22×C29semidirect
992. #546C22×C29semidirect
993. #546C22×C29semidirect
994. #546C22×C29semidirect
995. #546C22×C29semidirect
996. #546C22×C29semidirect
997. D42C22×C29semidirect
998. D42C22×C29semidirect
999. D42C22×C29semidirect
1000. D42C22×C29semidirect
1001. D42C22×C29semidirect
1002. #544C22×C29semidirect
1003. #542C22×C29semidirect
1004. #542C22×C29semidirect
1005. #542C22×C29semidirect
1006. #541C22×C29semidirect
1007. #540C22×C29semidirect
1008. #540C22×C29semidirect
1009. #540C22×C29semidirect
1010. #540C22×C29semidirect
1011. #540C22×C29semidirect
1012. #539C22×C29semidirect
1013. #539C22×C29semidirect
1014. #539C22×C29semidirect
1015. #538C22×C29semidirect
1016. #538C22×C29semidirect
1017. #538C22×C29semidirect
1018. #538C22×C29semidirect
1019. #538C22×C29semidirect
1020. #538C22×C29semidirect
1021. #537C22×C29semidirect
1022. #537C22×C29semidirect
1023. #537C22×C29semidirect
1024. #537C22×C29semidirect
1025. #537C22×C29semidirect
1026. #536C22×C29semidirect
1027. #536C22×C29semidirect
1028. #536C22×C29semidirect
1029. #535C22×C29semidirect
1030. #535C22×C29semidirect
1031. #535C22×C29semidirect
1032. #535C22×C29semidirect
1033. #534C22×C29semidirect
1034. #534C22×C29semidirect
1035. #533C22×C29semidirect
1036. #533C22×C29semidirect
1037. #533C22×C29semidirect
1039. #532C22×C29semidirect
1040. #532C22×C29semidirect
1041. #532C22×C29semidirect
1042. #532C22×C29semidirect
1043. #532C22×C29semidirect
1044. #532C22×C29semidirect
1045. #532C22×C29semidirect
1046. #532C22×C29semidirect
1047. #532C22×C29semidirect
1048. #532C22×C29semidirect
1049. #532C22×C29semidirect
1050. #532C22×C29semidirect
1051. #532C22×C29semidirect
1052. #532C22×C29semidirect
1053. C2×C4⋊Q8C22×C29semidirect
1054. C2×#127C22×C29semidirect
1055. #529C22×C29semidirect
1056. #529C22×C29semidirect
1057. #529C22×C29semidirect
1058. #529C22×C29semidirect
1059. #529C22×C29semidirect
1060. #529C22×C29semidirect
1061. #529C22×C29semidirect
1062. #529C22×C29semidirect
1063. #529C22×C29semidirect
1064. #529C22×C29semidirect
1065. #529C22×C29semidirect
1066. #529C22×C29semidirect
1067. #529C22×C29semidirect
1068. #529C22×C29semidirect
1069. #529C22×C29semidirect
1070. #529C22×C29semidirect
1071. #529C22×C29semidirect
1072. C2×#126C22×C29semidirect
1073. C2×#125C22×C29semidirect
1074. C2×#124C22×C29semidirect
1075. C2×#124C22×C29semidirect
1076. C2×#124C22×C29semidirect
1077. #525C22×C29semidirect
1078. #525C22×C29semidirect
1079. #525C22×C29semidirect
1080. #525C22×C29semidirect
1081. #525C22×C29semidirect
1082. #525C22×C29semidirect
1083. C2×#123C22×C29semidirect
1084. C2×C22⋊Q8C22×C29semidirect
1085. C2×C22⋊Q8C22×C29semidirect
1087. C2×#121C22×C29semidirect
1088. C2×#121C22×C29semidirect
1089. C2×#121C22×C29semidirect
1090. C2×#121C22×C29semidirect
1091. #520C22×C29semidirect
1092. #520C22×C29semidirect
1093. #520C22×C29semidirect
1094. #518C22×C29semidirect
1095. #518C22×C29semidirect
1096. C4×#41C22×C29semidirect
1097. C4×#41C22×C29semidirect
1098. C4×#41C22×C29semidirect
1099. C2×C4×Q8C22×C29semidirect
1100. C2×C4×D4C22×C29semidirect
1101. C2×C4×D4C22×C29semidirect
1102. C2×C4×D4C22×C29semidirect
1103. C2×C4×D4C22×C29semidirect
1104. C2×#117C22×C29semidirect
1105. C22×C42C22×C29semidirect
1446. C29#62830direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#35622
C29×#35602
C29×#35522
C29×#35512
C29×#35472
C29×#35462
C29×#35432
C29×#35342
C29×#35202
C29×#35192
C29×#35172
C29×#35142
C29×#35122
C29×#35072
C29×#35062
C29×#35052
C29×#35002
C29×#34972
C29×#34962
C29×#34942
C29×#34892
C29×#34882
C29×#34442
C2×C29×#5322
C2×C29×#5292
#6283029