Finite Group Databasebeta

← C13×#62953 #15749292

Subgroups — C13×#62953 #15749292

Order 3328.

6344 conjugacy classes of subgroups.

The subgroup lattice has 1280 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#3565C216yesmaximal, complemented
2C13×#3565C216yesmaximal, complemented
3C13×#3557C216yesmaximal, complemented
4C13×#3555C216yesmaximal, complemented
5C13×#3555C213yesmaximal, complemented
6C13×#3552C213yesmaximal, complemented
7C13×#3550C213yesmaximal, complemented
8C13×#3547C213yesmaximal, complemented
9C13×#3524C212yesmaximal, complemented
10C13×#3523C213yesmaximal, complemented
11C13×#3523C211yesmaximal, characteristic, complemented
12C13×#3518C212yesmaximal, complemented
13C13×#3518C213yesmaximal, complemented
14C13×#3518C211yesmaximal, characteristic, complemented
15C13×#3516C212yesmaximal, complemented
16C13×#3509C213yesmaximal, complemented
17C13×#3503C211yesmaximal, characteristic, complemented
18C13×#3502C211yesmaximal, characteristic, complemented
19C13×#3502C212yesmaximal, complemented
20C13×#3482C211yesmaximal, characteristic, complemented
21C13×#3480C211yesmaximal, characteristic, complemented
22Q8×C13×#41C211yesmaximal, characteristic, complemented
23C13×#3461C213yesmaximal, complemented
24C13×#563C22112yes—
25C13×#563C22112yes—
26C13×#563C22112yes—
27C13×#562C22112yes—
28C13×#559C2216yes—
29C13×#559C2213yes—
30Q82×C13C2213yes—
31Q82×C13C2211yescharacteristic
32Q82×C13C2212yes—
33Q82×C13C2216yes—
34C13×#557C2213yes—
35C13×#557C2213yes—
36C13×#557C2216yes—
37C13×#557C2211yescharacteristic
38C13×#557C2212yes—
39C13×#557C2216yes—
40C13×#557C2216yes—
41C13×#557C2216yes—
42C13×#557C2216yes—
43C13×#557C2212yes—
44C13×#557C2211yescharacteristic
45C13×#557C2211yescharacteristic
46C13×#556C2216yes—
47C13×#556C2213yes—
48C13×#556C2213yes—
49C13×#556C2216yes—
50C13×#556C2216yes—
51C13×#556C22112yes—
52C13×#556C2216yes—
53C13×#556C2216yes—
54C13×#556C2216yes—
55C13×#556C2213yes—
56C13×#556C2213yes—
57C13×#556C2216yes—
58C13×#555C2213yes—
59C13×#555C2216yes—
60C13×#555C2216yes—
61C13×#554C2213yes—
62C13×#554C2216yes—
63C13×#554C2216yes—
64C13×#554C2216yes—
65C13×#553C2216yes—
66C13×#553C2216yes—
67C13×#553C2213yes—
68C13×#553C2213yes—
69C13×#552C2216yes—
70C13×#552C22112yes—
71C13×#552C2216yes—
72C13×#552C2216yes—
73C13×#552C2216yes—
74C13×#552C2216yes—
75C13×#552C2216yes—
76C13×#552C2216yes—
77C13×#550C2211yescharacteristic
78D4×Q8×C13C2211yescharacteristic
79D4×Q8×C13C2212yes—
80D4×Q8×C13C2213yes—
81D4×Q8×C13C2213yes—
82D4×Q8×C13C2216yes—
83D4×Q8×C13C2213yes—
84C13×#548C2211yescharacteristic
85C13×#548C2212yes—
86C13×#548C2212yes—
87C13×#548C2216yes—
88C13×#548C2211yescharacteristic
89C13×#547C2213yes—
90C13×#544C2216yes—
91C13×#544C2216yes—
92C13×#544C2213yes—
93C13×#544C2216yes—
94C13×#544C2216yes—
95C13×#542C2213yes—
96C13×#542C2216yes—
97C13×#542C2216yes—
98C13×#542C2216yes—
99C13×#542C22112yes—
100C13×#542C2216yes—
101C13×#542C22112yes—
102C13×#542C22112yes—
103C13×#542C2216yes—
104C13×#542C2216yes—
105C13×#542C2211yescharacteristic
106C13×#541C2213yes—
107C13×#541C2216yes—
108C13×#541C22112yes—
109C13×#541C2216yes—
110C13×#541C22112yes—
111C13×#541C2216yes—
112C13×#541C2216yes—
113C13×#541C2213yes—
114C13×#540C2216yes—
115C13×#539C22112yes—
116C13×#539C2216yes—
117C13×#539C2216yes—
118C13×#537C2213yes—
119C13×#536C2216yes—
120C13×#536C2213yes—
121C13×#536C2213yes—
122C13×#533C2216yes—
123C13×#533C2213yes—
124C13×#533C2216yes—
125C13×#533C2213yes—
126C13×#533C2213yes—
127C13×#533C2213yes—
128C13×#533C2213yes—
129C13×#533C2213yes—
130C13×#533C2216yes—
131C13×#533C2213yes—
132C13×#533C2216yes—
133C13×#532C2213yes—
134C2×C13×C4⋊Q8C2213yes—
135C13×#529C2213yes—
136C13×#529C2213yes—
137C13×#529C2216yes—
138C13×#529C2216yes—
139C13×#529C2216yes—
140C13×#529C2213yes—
141C13×#529C2216yes—
142C13×#529C2213yes—
143C13×#529C2216yes—
144C13×#529C2216yes—
145C13×#520C2212yes—
146C13×#519C2212yes—
147C13×#519C2216yes—
148C13×#519C2212yes—
149C13×#519C2212yes—
150C4×C13×#41C2212yes—
151C4×C13×#41C2213yes—
152C4×C13×#41C2211yescharacteristic
153C4×C13×#41C2213yes—
154C4×C13×#41C2211yescharacteristic
155C2×C4×Q8×C13C2213yes—
156C2×C4×Q8×C13C2211yescharacteristic
157C2×C4×Q8×C13C2212yes—
158C2×C13×#41C2311yescharacteristic
159C2×C13×#41C2311yescharacteristic
160C2×C13×#41C2313yes—
161C2×C13×#41C2313yes—
162C22×Q8×C13C2311yescharacteristic
163C22×Q8×C13C2312yes—
164C22×Q8×C13C2313yes—
165C22×Q8×C13C2316yes—
166C13×C4⋊Q8C2313yes—
167C13×C4⋊Q8C2313yes—
168C13×C4⋊Q8C2313yes—
169C13×C4⋊Q8C2316yes—
170C13×C4⋊Q8C2316yes—
171C13×C4⋊Q8C2313yes—
172C13×C4⋊Q8C2311yescharacteristic
173C13×C4⋊Q8C2313yes—
174C13×C4⋊Q8C2313yes—
175C13×C4⋊Q8C2313yes—
176C13×C4⋊Q8C2316yes—
177C13×C4⋊Q8C2316yes—
178C13×C4⋊Q8C2316yes—
179C13×C4⋊Q8C2316yes—
180C13×C4⋊Q8C2316yes—
181C13×C4⋊Q8C2316yes—
182C13×C4⋊Q8C2313yes—
183C13×C4⋊Q8C2316yes—
184C13×C4⋊Q8C2316yes—
185C13×C4⋊Q8C23112yes—
186C13×C4⋊Q8C23112yes—
187C13×C4⋊Q8C23112yes—
188C13×#127C2313yes—
189C13×#126C2316yes—
190C13×#126C2312yes—
191C13×#126C2316yes—
192C13×#126C2316yes—
193C13×#126C2316yes—
194C13×#126C2316yes—
195C13×#126C2316yes—
196C13×#126C2316yes—
197C13×#126C2316yes—
198C13×#126C23112yes—
199C13×#126C2316yes—
200C13×#126C23112yes—
201C13×#126C23112yes—
202C13×#126C23112yes—
203C13×#126C23112yes—
204C13×#126C23112yes—
205C13×#126C23112yes—
206C13×#126C23112yes—
207C13×#125C2316yes—
208C13×#125C2313yes—
209C13×#125C2316yes—
210C13×#125C2313yes—
211C13×#125C2316yes—
212C13×#125C2316yes—
213C13×#125C2313yes—
214C13×#125C2316yes—
215C13×#125C2313yes—
216C13×#125C2316yes—
217C13×#125C2316yes—
218C13×#125C2316yes—
219C13×#125C2316yes—
220C13×#125C2316yes—
221C13×#125C2316yes—
222C13×#125C2316yes—
223C13×#125C2316yes—
224C13×#125C2316yes—
225C13×#125C2316yes—
226C13×#125C23112yes—
227C13×#125C23112yes—
228C13×#125C23112yes—
229C13×#125C23112yes—
230C13×#125C23112yes—
231C13×#124C2311yescharacteristic
232C13×#124C2312yes—
233C13×#124C2313yes—
234C13×#124C2316yes—
235C13×#124C2313yes—
236C13×#124C2316yes—
237C13×#124C2316yes—
238C13×#124C2313yes—
239C13×#124C2316yes—
240C13×#124C2316yes—
241C13×#124C23112yes—
242C13×#124C23112yes—
243C13×#124C23112yes—
244C13×#124C23112yes—
245C13×#123C2312yes—
246C13×#123C2316yes—
247C13×#123C2316yes—
248C13×#123C2316yes—
249C13×#123C2316yes—
250C13×#123C2316yes—
251C13×#123C2316yes—
252C13×#123C2316yes—
253C13×#123C23112yes—
254C13×#123C2316yes—
255C13×#123C23112yes—
256C13×#123C2316yes—
257C13×#123C23112yes—
258C13×#123C23112yes—
259C13×C22⋊Q8C2313yes—
260C13×C22⋊Q8C2316yes—
261C13×C22⋊Q8C2313yes—
262C13×C22⋊Q8C2313yes—
263C13×C22⋊Q8C2316yes—
264C13×C22⋊Q8C2316yes—
265C13×C22⋊Q8C2316yes—
266C13×C22⋊Q8C2313yes—
267C13×C22⋊Q8C2316yes—
268C13×C22⋊Q8C2316yes—
269C13×C22⋊Q8C2311yescharacteristic
270C13×C22⋊Q8C2313yes—
271C13×C22⋊Q8C2312yes—
272C13×C22⋊Q8C2316yes—
273C13×C22⋊Q8C2316yes—
274C13×C22⋊Q8C2316yes—
275C13×C22⋊Q8C2316yes—
276C13×C22⋊Q8C2313yes—
277C13×C22⋊Q8C2316yes—
278C13×C22⋊Q8C2313yes—
279C13×C22⋊Q8C2316yes—
280C13×C22⋊Q8C23112yes—
281C13×C22⋊Q8C2316yes—
282C13×C22⋊Q8C2316yes—
283C13×C22⋊Q8C23112yes—
284C13×C22⋊Q8C2316yes—
285C13×C22⋊Q8C23112yes—
286C13×C22⋊Q8C2316yes—
287C13×C22⋊Q8C2316yes—
288C13×C22⋊Q8C23112yes—
289C13×C22⋊Q8C2316yes—
290C13×C22⋊Q8C23112yes—
291C13×C22⋊Q8C23112yes—
292C13×C22⋊Q8C23112yes—
293C13×#121C2311yescharacteristic
294C13×#121C2313yes—
295C13×#121C2316yes—
296C13×#121C2316yes—
297C13×#121C2313yes—
298C13×#121C2316yes—
299C13×#121C2316yes—
300C13×#121C2316yes—
301C13×#121C2313yes—
302C13×#121C2313yes—
303C13×#121C2313yes—
304C13×#121C2316yes—
305C13×#121C23112yes—
306C4×Q8×C13C2311yescharacteristic
307C4×Q8×C13C2311yescharacteristic
308C4×Q8×C13C2311yescharacteristic
309C4×Q8×C13C2313yes—
310C4×Q8×C13C2311yescharacteristic
311C4×Q8×C13C2312yes—
312C4×Q8×C13C2313yes—
313C4×Q8×C13C2313yes—
314C4×Q8×C13C2313yes—
315C4×Q8×C13C2316yes—
316C4×Q8×C13C2316yes—
317C4×Q8×C13C2316yes—
318C4×Q8×C13C2313yes—
319C4×Q8×C13C2316yes—
320C4×Q8×C13C2313yes—
321C4×Q8×C13C2312yes—
322C4×Q8×C13C2311yescharacteristic
323C4×Q8×C13C2312yes—
324C4×Q8×C13C2313yes—
325C4×Q8×C13C2313yes—
326C4×Q8×C13C2313yes—
327C4×Q8×C13C2316yes—
328C4×Q8×C13C2316yes—
329C4×Q8×C13C2316yes—
330C4×Q8×C13C2316yes—
331C4×Q8×C13C2316yes—
332C4×Q8×C13C23112yes—
333C4×Q8×C13C23112yes—
334C4×Q8×C13C2316yes—
335C4×Q8×C13C2316yes—
336C4×Q8×C13C2316yes—
337C4×Q8×C13C2316yes—
338C4×Q8×C13C2316yes—
339C4×Q8×C13C2316yes—
340C4×Q8×C13C2316yes—
341C4×Q8×C13C23112yes—
342C4×Q8×C13C2316yes—
343C4×D4×C13C2311yescharacteristic
344C4×D4×C13C2316yes—
345C4×D4×C13C2313yes—
346C4×D4×C13C2313yes—
347C4×D4×C13C2316yes—
348C4×D4×C13C2313yes—
349C4×D4×C13C2313yes—
350C4×D4×C13C2313yes—
351C4×D4×C13C2313yes—
352C4×D4×C13C2313yes—
353C4×D4×C13C2313yes—
354C4×D4×C13C2313yes—
355C4×D4×C13C2316yes—
356C4×D4×C13C2316yes—
357C4×D4×C13C2313yes—
358C4×D4×C13C2313yes—
359C4×D4×C13C2316yes—
360C4×D4×C13C2316yes—
361C4×D4×C13C2316yes—
362C4×D4×C13C2316yes—
363C4×D4×C13C2316yes—
364C4×D4×C13C23112yes—
365C4×D4×C13C23112yes—
366C13×#117C2311yescharacteristic
367C13×#117C2313yes—
368C13×#117C2313yes—
369C13×#117C2313yes—
370C13×#117C2316yes—
371C13×#117C2313yes—
372C13×#117C2316yes—
373C13×#117C2313yes—
374C13×#117C2316yes—
375C13×#117C2316yes—
376C13×#117C2316yes—
377C13×#117C23112yes—
378C13×#117C23112yes—
379C13×#117C2316yes—
380C13×#117C2316yes—
381C13×#117C2316yes—
382C13×#117C2316yes—
383C13×#117C2316yes—
384C13×#117C2316yes—
385C13×#117C23112yes—
386C13×#117C2316yes—
387C2×C13×C4⋊C4C2313yes—
388C2×C13×C4⋊C4C2316yes—
389C2×C13×C4⋊C4C2316yes—
390C2×C13×C4⋊C4C2313yes—
391C2×C13×C4⋊C4C2316yes—
392C2×C13×C4⋊C4C2316yes—
393C2×C42×C13C2313yes—
394C2×C42×C13C2316yes—
395C2×C42×C13C2316yes—
396C2×C42×C13C2313yes—
397C2×C42×C13C2313yes—
398#62953C1311yesmaximal, characteristic, direct product factor, Sylow
399C13×#41—24no—
400C13×#41—24no—
401C13×#41—46no—
402C13×#41—46no—
403C2×Q8×C13—24no—
404C2×Q8×C13—28no—
405C2×Q8×C13—412no—
406C2×Q8×C13—46no—
407C2×Q8×C13C2413yes—
408C2×Q8×C13C2416yes—
409C2×Q8×C13C2411yescharacteristic
410C2×Q8×C13C2413yes—
411C2×Q8×C13C2413yes—
412C2×Q8×C13C2412yes—
413C2×Q8×C13C2416yes—
414C2×Q8×C13C2416yes—
415C2×Q8×C13C2416yes—
416C2×Q8×C13C24112yes—
417C2×Q8×C13C2413yes—
418C2×Q8×C13C2411yescharacteristic
419C2×D4×C13C2413yes—
420C2×D4×C13C2413yes—
421C2×D4×C13C2411yescharacteristic
422C2×D4×C13C2412yes—
423C2×D4×C13C2416yes—
424C2×D4×C13C2416yes—
425C2×D4×C13C2416yes—
426C2×D4×C13C2413yes—
427C2×D4×C13C2413yes—
428C2×D4×C13C2413yes—
429C22×C4×C13C2413yes—
430C22×C4×C13C2411yescharacteristic
431C22×C4×C13C2413yes—
432C22×C4×C13C2416yes—
433C22×C4×C13C2413yes—
434C22×C4×C13C2413yes—
435C22×C4×C13C2413yes—
436C22×C4×C13C2412yes—
437C22×C4×C13C2413yes—
438C22×C4×C13C2416yes—
439C22×C4×C13C2413yes—
440C22×C4×C13C2416yes—
441C22×C4×C13C2413yes—
442C22×C4×C13C2416yes—
443C22×C4×C13C24112yes—
444C13×C4⋊C4C2411yescharacteristic
445C13×C4⋊C4C2412yes—
446C13×C4⋊C4C2413yes—
447C13×C4⋊C4C2416yes—
448C13×C4⋊C4C2416yes—
449C13×C4⋊C4C2416yes—
450C13×C4⋊C4C2413yes—
451C13×C4⋊C4C2416yes—
452C13×C4⋊C4C2413yes—
453C13×C4⋊C4C2413yes—
454C13×C4⋊C4C2416yes—
455C13×C4⋊C4C2416yes—
456C13×C4⋊C4C2416yes—
457C13×C4⋊C4C2416yes—
458C13×C4⋊C4C2416yes—
459C13×C4⋊C4C2416yes—
460C13×C4⋊C4C24112yes—
461C13×C4⋊C4C2416yes—
462C13×C4⋊C4C2416yes—
463C13×C4⋊C4C2413yes—
464C13×C4⋊C4C2413yes—
465C13×C4⋊C4C2411yescharacteristic
466C13×C4⋊C4C2416yes—
467C13×C4⋊C4C2412yes—
468C13×C4⋊C4C2416yes—
469C13×C4⋊C4C2416yes—
470C13×C4⋊C4C2416yes—
471C13×C4⋊C4C2411yescharacteristic
472C13×C4⋊C4C2411yescharacteristic
473C13×C4⋊C4C2413yes—
474C13×C4⋊C4C2413yes—
475C13×C4⋊C4C2413yes—
476C13×C4⋊C4C2416yes—
477C13×C4⋊C4C2413yes—
478C13×C4⋊C4C24112yes—
479C13×C4⋊C4C2416yes—
480C13×C4⋊C4C24112yes—
481C13×C4⋊C4C2416yes—
482C13×C4⋊C4C2416yes—
483C13×C4⋊C4C2416yes—
484C13×C4⋊C4C2416yes—
485C13×C4⋊C4C2416yes—
486C13×C4⋊C4C2416yes—
487C13×C4⋊C4C2416yes—
488C13×C4⋊C4C24112yes—
489C13×C4⋊C4C2416yes—
490C13×C4⋊C4C2416yes—
491C13×C4⋊C4C2416yes—
492C13×C4⋊C4C2412yes—
493C13×C22⋊C4C2413yes—
494C13×C22⋊C4C2413yes—
495C13×C22⋊C4C2412yes—
496C13×C22⋊C4C2412yes—
497C13×C22⋊C4C2416yes—
498C13×C22⋊C4C2416yes—
499C13×C22⋊C4C2416yes—
500C13×C22⋊C4C24112yes—
501C13×C22⋊C4C2412yes—
502C13×C22⋊C4C2412yes—
503C13×C22⋊C4C24112yes—
504C13×C22⋊C4C2416yes—
505C13×C22⋊C4C2416yes—
506C13×C22⋊C4C2411yescharacteristic
507C13×C22⋊C4C2411yescharacteristic
508C13×C22⋊C4C2416yes—
509C13×C22⋊C4C2413yes—
510C13×C22⋊C4C2416yes—
511C13×C22⋊C4C24112yes—
512C13×C22⋊C4C2416yes—
513C13×C22⋊C4C2416yes—
514C13×C22⋊C4C2413yes—
515C13×C22⋊C4C2416yes—
516C13×C22⋊C4C2416yes—
517C13×C22⋊C4C2416yes—
518C13×C22⋊C4C2412yes—
519C13×C22⋊C4C2416yes—
520C13×C22⋊C4C2416yes—
521C42×C13C2411yescharacteristic
522C42×C13C2411yescharacteristic
523C42×C13C2413yes—
524C42×C13C2413yes—
525C42×C13C2412yes—
526C42×C13C2413yes—
527C42×C13C2416yes—
528C42×C13C2416yes—
529C42×C13C2416yes—
530C42×C13C2413yes—
531C42×C13C2416yes—
532C42×C13C2416yes—
533C42×C13C2413yes—
534C42×C13C2413yes—
535C42×C13C2413yes—
536C42×C13C2416yes—
537C42×C13C2413yes—
538C42×C13C24112yes—
539C42×C13C24112yes—
540C42×C13C24112yes—
541#3565C2×C1316yescomplemented
542#3565C2×C1316yescomplemented
543#3557C2×C1316yescomplemented
544#3555C2×C1316yescomplemented
545#3555C2×C1313yescomplemented
546#3552C2×C1313yescomplemented
547#3550C2×C1313yescomplemented
548#3547C2×C1313yescomplemented
549#3524C2×C1312yescomplemented
550#3523C2×C1313yescomplemented
551#3523C2×C1311yescharacteristic, complemented
552#3518C2×C1313yescomplemented
553#3518C2×C1312yescomplemented
554#3518C2×C1311yescharacteristic, complemented
555#3516C2×C1312yescomplemented
556#3509C2×C1313yescomplemented
557#3503C2×C1311yescharacteristic, complemented
558#3502C2×C1311yescharacteristic, complemented
559#3502C2×C1312yescomplemented
560#3482C2×C1311yescharacteristic, complemented
561#3480C2×C1311yescharacteristic, complemented
562Q8×#41C2×C1311yescharacteristic, complemented
563#3461C2×C1313yescomplemented
564C23×C13C2511yescharacteristic
565C23×C13C2512yes—
566C23×C13C2513yes—
567C23×C13C2513yes—
568Q8×C13—26no—
569Q8×C13—212no—
570Q8×C13—26no—
571Q8×C13—22no—
572Q8×C13—26no—
573Q8×C13—46no—
574Q8×C13—412no—
575Q8×C13—42no—
576Q8×C13—46no—
577Q8×C13—46no—
578Q8×C13—43no—
579Q8×C132−1+414yes—
580D4×C13—26no—
581D4×C13—26no—
582D4×C13—22no—
583D4×C13—42no—
584D4×C13—46no—
585D4×C13—46no—
586D4×C13—43no—
587D4×C13—43no—
588D4×C13—43no—
589D4×C13—46no—
590C2×C4×C13—212no—
591C2×C4×C13—26no—
592C2×C4×C13—26no—
593C2×C4×C13—26no—
594C2×C4×C13—26no—
595C2×C4×C13—26no—
596C2×C4×C13—22no—
597C2×C4×C13—43no—
598C2×C4×C13—42no—
599C2×C4×C13—46no—
600C2×C4×C13—43no—
601C2×C4×C13—43no—
602C2×C4×C13—412no—
603C2×C4×C13—46no—
604C2×C4×C13—46no—
605C2×C4×C13C2511yescharacteristic
606C2×C4×C13C2511yescharacteristic
607C2×C4×C13C2516yes—
608C2×C4×C13C2513yes—
609C2×C4×C13C2512yes—
610C2×C4×C13C2516yes—
611C2×C4×C13C2513yes—
612C2×C4×C13C2513yes—
613C2×C4×C13C2511yescharacteristic
614C2×C4×C13C2511yescharacteristic
615C2×C4×C13C2511yescharacteristic
616C2×C4×C13C2513yes—
617C2×C4×C13C2512yes—
618C2×C4×C13C2516yes—
619C2×C4×C13C2512yes—
620C2×C4×C13C2513yes—
621C2×C4×C13C2516yes—
622C2×C4×C13C2513yes—
623C2×C4×C13C2511yescharacteristic
624#563C22×C13112yes—
625#563C22×C13112yes—
626#563C22×C13112yes—
627#562C22×C13112yes—
628#559C22×C1313yes—
629#559C22×C1316yes—
630Q82C22×C1311yescharacteristic
631Q82C22×C1312yes—
632Q82C22×C1313yes—
633Q82C22×C1316yes—
634#557C22×C1312yes—
635#557C22×C1311yescharacteristic
636#557C22×C1311yescharacteristic
637#557C22×C1311yescharacteristic
638#557C22×C1312yes—
639#557C22×C1316yes—
640#557C22×C1313yes—
641#557C22×C1316yes—
642#557C22×C1316yes—
643#557C22×C1316yes—
644#557C22×C1316yes—
645#557C22×C1313yes—
646#556C22×C1313yes—
647#556C22×C1313yes—
648#556C22×C1316yes—
649#556C22×C1316yes—
650#556C22×C1316yes—
651#556C22×C1316yes—
652#556C22×C1313yes—
653#556C22×C1313yes—
654#556C22×C1316yes—
655#556C22×C1316yes—
656#556C22×C13112yes—
657#556C22×C1316yes—
658#555C22×C1313yes—
659#555C22×C1316yes—
660#555C22×C1316yes—
661#554C22×C1313yes—
662#554C22×C1316yes—
663#554C22×C1316yes—
664#554C22×C1316yes—
665#553C22×C1313yes—
666#553C22×C1313yes—
667#553C22×C1316yes—
668#553C22×C1316yes—
669#552C22×C1316yes—
670#552C22×C1316yes—
671#552C22×C1316yes—
672#552C22×C1316yes—
673#552C22×C1316yes—
674#552C22×C1316yes—
675#552C22×C13112yes—
676#552C22×C1316yes—
677#550C22×C1311yescharacteristic
678D4×Q8C22×C1313yes—
679D4×Q8C22×C1311yescharacteristic
680D4×Q8C22×C1313yes—
681D4×Q8C22×C1313yes—
682D4×Q8C22×C1312yes—
683D4×Q8C22×C1316yes—
684#548C22×C1311yescharacteristic
685#548C22×C1311yescharacteristic
686#548C22×C1312yes—
687#548C22×C1312yes—
688#548C22×C1316yes—
689#547C22×C1313yes—
690#544C22×C1313yes—
691#544C22×C1316yes—
692#544C22×C1316yes—
693#544C22×C1316yes—
694#544C22×C1316yes—
695#542C22×C1311yescharacteristic
696#542C22×C1313yes—
697#542C22×C1316yes—
698#542C22×C1316yes—
699#542C22×C1316yes—
700#542C22×C1316yes—
701#542C22×C1316yes—
702#542C22×C13112yes—
703#542C22×C1316yes—
704#542C22×C13112yes—
705#542C22×C13112yes—
706#541C22×C1313yes—
707#541C22×C1313yes—
708#541C22×C1316yes—
709#541C22×C1316yes—
710#541C22×C1316yes—
711#541C22×C1316yes—
712#541C22×C13112yes—
713#541C22×C13112yes—
714#540C22×C1316yes—
715#539C22×C1316yes—
716#539C22×C1316yes—
717#539C22×C13112yes—
718#537C22×C1313yes—
719#536C22×C1313yes—
720#536C22×C1313yes—
721#536C22×C1316yes—
722#533C22×C1313yes—
723#533C22×C1316yes—
724#533C22×C1313yes—
725#533C22×C1313yes—
726#533C22×C1316yes—
727#533C22×C1313yes—
728#533C22×C1313yes—
729#533C22×C1316yes—
730#533C22×C1313yes—
731#533C22×C1313yes—
732#533C22×C1316yes—
733#532C22×C1313yes—
734C2×C4⋊Q8C22×C1313yes—
735#529C22×C1316yes—
736#529C22×C1313yes—
737#529C22×C1316yes—
738#529C22×C1313yes—
739#529C22×C1316yes—
740#529C22×C1313yes—
741#529C22×C1313yes—
742#529C22×C1316yes—
743#529C22×C1316yes—
744#529C22×C1316yes—
745#520C22×C1312yes—
746#519C22×C1312yes—
747#519C22×C1312yes—
748#519C22×C1312yes—
749#519C22×C1316yes—
750C4×#41C22×C1313yes—
751C4×#41C22×C1313yes—
752C4×#41C22×C1311yescharacteristic
753C4×#41C22×C1312yes—
754C4×#41C22×C1311yescharacteristic
755C2×C4×Q8C22×C1313yes—
756C2×C4×Q8C22×C1311yescharacteristic
757C2×C4×Q8C22×C1312yes—
758C22×C13—21no—
759C22×C13—22no—
760C22×C13—23no—
761C22×C13—23no—
762C22×C13—23no—
763C22×C13—23no—
764C22×C13—21no—
765C22×C13—22no—
766C22×C13—21no—
767C22×C13—23no—
768C22×C13—22no—
769C22×C13—23no—
770C22×C13C2611yescharacteristic
771C4×C13—21no—
772C4×C13—21no—
773C4×C13—26no—
774C4×C13—23no—
775C4×C13—23no—
776C4×C13—21no—
777C4×C13—23no—
778C4×C13—26no—
779C4×C13—26no—
780C4×C13—22no—
781C4×C13—21no—
782C4×C13—22no—
783C4×C13—23no—
784C4×C13—21no—
785C4×C13—23no—
786C4×C13—26no—
787C4×C13—22no—
788C4×C13C2×2−1+416yes—
789C4×C13#58512yes—
790C2×#41C23×C1311yescharacteristic
791C2×#41C23×C1311yescharacteristic
792C2×#41C23×C1313yes—
793C2×#41C23×C1313yes—
794C22×Q8C23×C1311yescharacteristic
795C22×Q8C23×C1312yes—
796C22×Q8C23×C1313yes—
797C22×Q8C23×C1316yes—
798C4⋊Q8C23×C1313yes—
799C4⋊Q8C23×C1313yes—
800C4⋊Q8C23×C1313yes—
801C4⋊Q8C23×C1316yes—
802C4⋊Q8C23×C1316yes—
803C4⋊Q8C23×C1313yes—
804C4⋊Q8C23×C1311yescharacteristic
805C4⋊Q8C23×C1313yes—
806C4⋊Q8C23×C1313yes—
807C4⋊Q8C23×C1313yes—
808C4⋊Q8C23×C1316yes—
809C4⋊Q8C23×C1316yes—
810C4⋊Q8C23×C1316yes—
811C4⋊Q8C23×C1316yes—
812C4⋊Q8C23×C1316yes—
813C4⋊Q8C23×C1316yes—
814C4⋊Q8C23×C1313yes—
815C4⋊Q8C23×C1316yes—
816C4⋊Q8C23×C1316yes—
817C4⋊Q8C23×C13112yes—
818C4⋊Q8C23×C13112yes—
819C4⋊Q8C23×C13112yes—
820#127C23×C1313yes—
821#126C23×C1316yes—
822#126C23×C1312yes—
823#126C23×C1316yes—
824#126C23×C1316yes—
825#126C23×C1316yes—
826#126C23×C1316yes—
827#126C23×C1316yes—
828#126C23×C1316yes—
829#126C23×C1316yes—
830#126C23×C13112yes—
831#126C23×C1316yes—
832#126C23×C13112yes—
833#126C23×C13112yes—
834#126C23×C13112yes—
835#126C23×C13112yes—
836#126C23×C13112yes—
837#126C23×C13112yes—
838#126C23×C13112yes—
839#125C23×C1316yes—
840#125C23×C1313yes—
841#125C23×C1316yes—
842#125C23×C1313yes—
843#125C23×C1316yes—
844#125C23×C1316yes—
845#125C23×C1313yes—
846#125C23×C1316yes—
847#125C23×C1313yes—
848#125C23×C1316yes—
849#125C23×C1316yes—
850#125C23×C1316yes—
851#125C23×C1316yes—
852#125C23×C1316yes—
853#125C23×C1316yes—
854#125C23×C1316yes—
855#125C23×C1316yes—
856#125C23×C1316yes—
857#125C23×C1316yes—
858#125C23×C13112yes—
859#125C23×C13112yes—
860#125C23×C13112yes—
861#125C23×C13112yes—
862#125C23×C13112yes—
863#124C23×C1311yescharacteristic
864#124C23×C1312yes—
865#124C23×C1313yes—
866#124C23×C1316yes—
867#124C23×C1313yes—
868#124C23×C1316yes—
869#124C23×C1316yes—
870#124C23×C1313yes—
871#124C23×C1316yes—
872#124C23×C1316yes—
873#124C23×C13112yes—
874#124C23×C13112yes—
875#124C23×C13112yes—
876#124C23×C13112yes—
877#123C23×C1312yes—
878#123C23×C1316yes—
879#123C23×C1316yes—
880#123C23×C1316yes—
881#123C23×C1316yes—
882#123C23×C1316yes—
883#123C23×C1316yes—
884#123C23×C1316yes—
885#123C23×C13112yes—
886#123C23×C1316yes—
887#123C23×C13112yes—
888#123C23×C1316yes—
889#123C23×C13112yes—
890#123C23×C13112yes—
891C22⋊Q8C23×C1313yes—
892C22⋊Q8C23×C1316yes—
893C22⋊Q8C23×C1313yes—
894C22⋊Q8C23×C1313yes—
895C22⋊Q8C23×C1316yes—
896C22⋊Q8C23×C1316yes—
897C22⋊Q8C23×C1316yes—
898C22⋊Q8C23×C1313yes—
899C22⋊Q8C23×C1316yes—
900C22⋊Q8C23×C1316yes—
901C22⋊Q8C23×C1311yescharacteristic
902C22⋊Q8C23×C1313yes—
903C22⋊Q8C23×C1312yes—
904C22⋊Q8C23×C1316yes—
905C22⋊Q8C23×C1316yes—
906C22⋊Q8C23×C1316yes—
907C22⋊Q8C23×C1316yes—
908C22⋊Q8C23×C1313yes—
909C22⋊Q8C23×C1316yes—
910C22⋊Q8C23×C1313yes—
911C22⋊Q8C23×C1316yes—
912C22⋊Q8C23×C13112yes—
913C22⋊Q8C23×C1316yes—
914C22⋊Q8C23×C1316yes—
915C22⋊Q8C23×C13112yes—
916C22⋊Q8C23×C1316yes—
917C22⋊Q8C23×C13112yes—
918C22⋊Q8C23×C1316yes—
919C22⋊Q8C23×C1316yes—
920C22⋊Q8C23×C13112yes—
921C22⋊Q8C23×C1316yes—
922C22⋊Q8C23×C13112yes—
923C22⋊Q8C23×C13112yes—
924C22⋊Q8C23×C13112yes—
925#121C23×C1311yescharacteristic
926#121C23×C1313yes—
927#121C23×C1316yes—
928#121C23×C1316yes—
929#121C23×C1313yes—
930#121C23×C1316yes—
931#121C23×C1316yes—
932#121C23×C1316yes—
933#121C23×C1313yes—
934#121C23×C1313yes—
935#121C23×C1313yes—
936#121C23×C1316yes—
937#121C23×C13112yes—
938C4×Q8C23×C1311yescharacteristic
939C4×Q8C23×C1311yescharacteristic
940C4×Q8C23×C1311yescharacteristic
941C4×Q8C23×C1313yes—
942C4×Q8C23×C1311yescharacteristic
943C4×Q8C23×C1312yes—
944C4×Q8C23×C1313yes—
945C4×Q8C23×C1313yes—
946C4×Q8C23×C1313yes—
947C4×Q8C23×C1316yes—
948C4×Q8C23×C1316yes—
949C4×Q8C23×C1316yes—
950C4×Q8C23×C1313yes—
951C4×Q8C23×C1316yes—
952C4×Q8C23×C1313yes—
953C4×Q8C23×C1312yes—
954C4×Q8C23×C1311yescharacteristic
955C4×Q8C23×C1312yes—
956C4×Q8C23×C1313yes—
957C4×Q8C23×C1313yes—
958C4×Q8C23×C1313yes—
959C4×Q8C23×C1316yes—
960C4×Q8C23×C1316yes—
961C4×Q8C23×C1316yes—
962C4×Q8C23×C1316yes—
963C4×Q8C23×C1316yes—
964C4×Q8C23×C13112yes—
965C4×Q8C23×C13112yes—
966C4×Q8C23×C1316yes—
967C4×Q8C23×C1316yes—
968C4×Q8C23×C1316yes—
969C4×Q8C23×C1316yes—
970C4×Q8C23×C1316yes—
971C4×Q8C23×C1316yes—
972C4×Q8C23×C1316yes—
973C4×Q8C23×C13112yes—
974C4×Q8C23×C1316yes—
975C4×D4C23×C1311yescharacteristic
976C4×D4C23×C1316yes—
977C4×D4C23×C1313yes—
978C4×D4C23×C1313yes—
979C4×D4C23×C1316yes—
980C4×D4C23×C1313yes—
981C4×D4C23×C1313yes—
982C4×D4C23×C1313yes—
983C4×D4C23×C1313yes—
984C4×D4C23×C1313yes—
985C4×D4C23×C1313yes—
986C4×D4C23×C1313yes—
987C4×D4C23×C1316yes—
988C4×D4C23×C1316yes—
989C4×D4C23×C1313yes—
990C4×D4C23×C1313yes—
991C4×D4C23×C1316yes—
992C4×D4C23×C1316yes—
993C4×D4C23×C1316yes—
994C4×D4C23×C1316yes—
995C4×D4C23×C1316yes—
996C4×D4C23×C13112yes—
997C4×D4C23×C13112yes—
998#117C23×C1311yescharacteristic
999#117C23×C1313yes—
1000#117C23×C1313yes—
1001#117C23×C1313yes—
1002#117C23×C1316yes—
1003#117C23×C1313yes—
1004#117C23×C1316yes—
1005#117C23×C1313yes—
1006#117C23×C1316yes—
1007#117C23×C1316yes—
1008#117C23×C1316yes—
1009#117C23×C13112yes—
1010#117C23×C13112yes—
1011#117C23×C1316yes—
1012#117C23×C1316yes—
1013#117C23×C1316yes—
1014#117C23×C1316yes—
1015#117C23×C1316yes—
1016#117C23×C1316yes—
1017#117C23×C13112yes—
1018#117C23×C1316yes—
1019C2×C4⋊C4C23×C1313yes—
1020C2×C4⋊C4C23×C1316yes—
1021C2×C4⋊C4C23×C1316yes—
1022C2×C4⋊C4C23×C1313yes—
1023C2×C4⋊C4C23×C1316yes—
1024C2×C4⋊C4C23×C1316yes—
1025C2×C42C23×C1313yes—
1026C2×C42C23×C1316yes—
1027C2×C42C23×C1316yes—
1028C2×C42C23×C1313yes—
1029C2×C42C23×C1313yes—
1030C2×C13—41no—
1031C2×C13—42no—
1032C2×C13—43no—
1033C2×C13—43no—
1034C2×C13C22×2−1+411yescharacteristic
1035C2×C13C2×#58511yescharacteristic
1036C2×C132−1+611yescharacteristic
1037#41—24no—
1038#41—24no—
1039#41—46no—
1040#41—46no—
1041C2×Q8—24no—
1042C2×Q8—28no—
1043C2×Q8—412no—
1044C2×Q8—46no—
1045C2×Q8C24×C1313yes—
1046C2×Q8C24×C1316yes—
1047C2×Q8C24×C1311yescharacteristic
1048C2×Q8C24×C1313yes—
1049C2×Q8C24×C1313yes—
1050C2×Q8C24×C1312yes—
1051C2×Q8C24×C1316yes—
1052C2×Q8C24×C1316yes—
1053C2×Q8C24×C1316yes—
1054C2×Q8C24×C13112yes—
1055C2×Q8C24×C1313yes—
1056C2×Q8C24×C1311yescharacteristic
1057C2×D4C24×C1313yes—
1058C2×D4C24×C1313yes—
1059C2×D4C24×C1311yescharacteristic
1060C2×D4C24×C1312yes—
1061C2×D4C24×C1316yes—
1062C2×D4C24×C1316yes—
1063C2×D4C24×C1316yes—
1064C2×D4C24×C1313yes—
1065C2×D4C24×C1313yes—
1066C2×D4C24×C1313yes—
1067C22×C4C24×C1313yes—
1068C22×C4C24×C1311yescharacteristic
1069C22×C4C24×C1313yes—
1070C22×C4C24×C1316yes—
1071C22×C4C24×C1313yes—
1072C22×C4C24×C1313yes—
1073C22×C4C24×C1313yes—
1074C22×C4C24×C1312yes—
1075C22×C4C24×C1313yes—
1076C22×C4C24×C1316yes—
1077C22×C4C24×C1313yes—
1078C22×C4C24×C1316yes—
1079C22×C4C24×C1313yes—
1080C22×C4C24×C1316yes—
1081C22×C4C24×C13112yes—
1082C4⋊C4C24×C1311yescharacteristic
1083C4⋊C4C24×C1312yes—
1084C4⋊C4C24×C1313yes—
1085C4⋊C4C24×C1316yes—
1086C4⋊C4C24×C1316yes—
1087C4⋊C4C24×C1316yes—
1088C4⋊C4C24×C1313yes—
1089C4⋊C4C24×C1316yes—
1090C4⋊C4C24×C1313yes—
1091C4⋊C4C24×C1313yes—
1092C4⋊C4C24×C1316yes—
1093C4⋊C4C24×C1316yes—
1094C4⋊C4C24×C1316yes—
1095C4⋊C4C24×C1316yes—
1096C4⋊C4C24×C1316yes—
1097C4⋊C4C24×C1316yes—
1098C4⋊C4C24×C13112yes—
1099C4⋊C4C24×C1316yes—
1100C4⋊C4C24×C1316yes—
1101C4⋊C4C24×C1313yes—
1102C4⋊C4C24×C1313yes—
1103C4⋊C4C24×C1311yescharacteristic
1104C4⋊C4C24×C1316yes—
1105C4⋊C4C24×C1312yes—
1106C4⋊C4C24×C1316yes—
1107C4⋊C4C24×C1316yes—
1108C4⋊C4C24×C1316yes—
1109C4⋊C4C24×C1311yescharacteristic
1110C4⋊C4C24×C1311yescharacteristic
1111C4⋊C4C24×C1313yes—
1112C4⋊C4C24×C1313yes—
1113C4⋊C4C24×C1313yes—
1114C4⋊C4C24×C1316yes—
1115C4⋊C4C24×C1313yes—
1116C4⋊C4C24×C13112yes—
1117C4⋊C4C24×C1316yes—
1118C4⋊C4C24×C13112yes—
1119C4⋊C4C24×C1316yes—
1120C4⋊C4C24×C1316yes—
1121C4⋊C4C24×C1316yes—
1122C4⋊C4C24×C1316yes—
1123C4⋊C4C24×C1316yes—
1124C4⋊C4C24×C1316yes—
1125C4⋊C4C24×C1316yes—
1126C4⋊C4C24×C13112yes—
1127C4⋊C4C24×C1316yes—
1128C4⋊C4C24×C1316yes—
1129C4⋊C4C24×C1316yes—
1130C4⋊C4C24×C1312yes—
1131C22⋊C4C24×C1313yes—
1132C22⋊C4C24×C1313yes—
1133C22⋊C4C24×C1312yes—
1134C22⋊C4C24×C1312yes—
1135C22⋊C4C24×C1316yes—
1136C22⋊C4C24×C1316yes—
1137C22⋊C4C24×C1316yes—
1138C22⋊C4C24×C13112yes—
1139C22⋊C4C24×C1312yes—
1140C22⋊C4C24×C1312yes—
1141C22⋊C4C24×C13112yes—
1142C22⋊C4C24×C1316yes—
1143C22⋊C4C24×C1316yes—
1144C22⋊C4C24×C1311yescharacteristic
1145C22⋊C4C24×C1311yescharacteristic
1146C22⋊C4C24×C1316yes—
1147C22⋊C4C24×C1313yes—
1148C22⋊C4C24×C1316yes—
1149C22⋊C4C24×C13112yes—
1150C22⋊C4C24×C1316yes—
1151C22⋊C4C24×C1316yes—
1152C22⋊C4C24×C1313yes—
1153C22⋊C4C24×C1316yes—
1154C22⋊C4C24×C1316yes—
1155C22⋊C4C24×C1316yes—
1156C22⋊C4C24×C1312yes—
1157C22⋊C4C24×C1316yes—
1158C22⋊C4C24×C1316yes—
1159C42C24×C1311yescharacteristic
1160C42C24×C1311yescharacteristic
1161C42C24×C1313yes—
1162C42C24×C1313yes—
1163C42C24×C1312yes—
1164C42C24×C1313yes—
1165C42C24×C1316yes—
1166C42C24×C1316yes—
1167C42C24×C1316yes—
1168C42C24×C1313yes—
1169C42C24×C1316yes—
1170C42C24×C1316yes—
1171C42C24×C1313yes—
1172C42C24×C1313yes—
1173C42C24×C1313yes—
1174C42C24×C1316yes—
1175C42C24×C1313yes—
1176C42C24×C13112yes—
1177C42C24×C13112yes—
1178C42C24×C13112yes—
1179C13#6295311yescharacteristic, direct product factor, Sylow
1180C23C25×C1311yescharacteristic
1181C23C25×C1312yes—
1182C23C25×C1313yes—
1183C23C25×C1313yes—
1184Q8—26no—
1185Q8—212no—
1186Q8—26no—
1187Q8—22no—
1188Q8—26no—
1189Q8—46no—
1190Q8—412no—
1191Q8—43no—
1192Q8—42no—
1193Q8—46no—
1194Q8—46no—
1195Q8C13×2−1+414yes—
1196D4—26no—
1197D4—26no—
1198D4—22no—
1199D4—42no—
1200D4—46no—
1201D4—46no—
1202D4—43no—
1203D4—43no—
1204D4—43no—
1205D4—46no—
1206C2×C4—212no—
1207C2×C4—26no—
1208C2×C4—26no—
1209C2×C4—26no—
1210C2×C4—26no—
1211C2×C4—26no—
1212C2×C4—22no—
1213C2×C4—43no—
1214C2×C4—42no—
1215C2×C4—46no—
1216C2×C4—43no—
1217C2×C4—43no—
1218C2×C4—412no—
1219C2×C4—46no—
1220C2×C4—46no—
1221C2×C4C25×C1311yescharacteristic
1222C2×C4C25×C1311yescharacteristic
1223C2×C4C25×C1316yes—
1224C2×C4C25×C1313yes—
1225C2×C4C25×C1312yes—
1226C2×C4C25×C1316yes—
1227C2×C4C25×C1313yes—
1228C2×C4C25×C1313yes—
1229C2×C4C25×C1311yescharacteristic
1230C2×C4C25×C1311yescharacteristic
1231C2×C4C25×C1311yescharacteristic
1232C2×C4C25×C1313yes—
1233C2×C4C25×C1312yes—
1234C2×C4C25×C1316yes—
1235C2×C4C25×C1312yes—
1236C2×C4C25×C1313yes—
1237C2×C4C25×C1316yes—
1238C2×C4C25×C1313yes—
1239C2×C4C25×C1311yescharacteristic
1240C22—21no—
1241C22—22no—
1242C22—23no—
1243C22—23no—
1244C22—23no—
1245C22—23no—
1246C22—21no—
1247C22—22no—
1248C22—21no—
1249C22—23no—
1250C22—22no—
1251C22—23no—
1252C22C26×C1311yescharacteristic
1253C4—21no—
1254C4—21no—
1255C4—26no—
1256C4—23no—
1257C4—23no—
1258C4—21no—
1259C4—23no—
1260C4—26no—
1261C4—26no—
1262C4—22no—
1263C4—21no—
1264C4—22no—
1265C4—23no—
1266C4—21no—
1267C4—23no—
1268C4—26no—
1269C4—22no—
1270C4C2×C13×2−1+416yes—
1271C4C13×#58512yes—
1272C2—41no—
1273C2—42no—
1274C2—43no—
1275C2—43no—
1276C2C22×C13×2−1+411yescharacteristic
1277C2C2×C13×#58511yescharacteristic
1278C2C13×2−1+611yescharacteristic
subgroupG/H
center, socleC22×C13C26
commutator, Frattini, cosocleC22C26×C13
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C13 ◁ G

Complements

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

NH ≅ G/Ntype
1. C13×#3565C2semidirect
2. C13×#3565C2semidirect
3. C13×#3557C2semidirect
4. C13×#3555C2semidirect
5. C13×#3555C2semidirect
6. C13×#3552C2semidirect
7. C13×#3550C2semidirect
8. C13×#3547C2semidirect
9. C13×#3524C2semidirect
10. C13×#3523C2semidirect
11. C13×#3523C2semidirect
12. C13×#3518C2semidirect
13. C13×#3518C2semidirect
14. C13×#3518C2semidirect
15. C13×#3516C2semidirect
16. C13×#3509C2semidirect
17. C13×#3503C2semidirect
18. C13×#3502C2semidirect
19. C13×#3502C2semidirect
20. C13×#3482C2semidirect
21. C13×#3480C2semidirect
22. Q8×C13×#41C2semidirect
23. C13×#3461C2semidirect
398. #62953C13direct (N × H)
541. #3565C2×C13semidirect
542. #3565C2×C13semidirect
543. #3557C2×C13semidirect
544. #3555C2×C13semidirect
545. #3555C2×C13semidirect
546. #3552C2×C13semidirect
547. #3550C2×C13semidirect
548. #3547C2×C13semidirect
549. #3524C2×C13semidirect
550. #3523C2×C13semidirect
551. #3523C2×C13semidirect
552. #3518C2×C13semidirect
553. #3518C2×C13semidirect
554. #3518C2×C13semidirect
555. #3516C2×C13semidirect
556. #3509C2×C13semidirect
557. #3503C2×C13semidirect
558. #3502C2×C13semidirect
559. #3502C2×C13semidirect
560. #3482C2×C13semidirect
561. #3480C2×C13semidirect
562. Q8×#41C2×C13semidirect
563. #3461C2×C13semidirect
1179. C13#62953direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#35652
C13×#35572
C13×#35552
C13×#35522
C13×#35502
C13×#35472
C13×#35242
C13×#35232
C13×#35182
C13×#35162
C13×#35092
C13×#35032
C13×#35022
C13×#34822
C13×#34802
Q8×C13×#412
C13×#34612
#6295313