Finite Group Databasebeta

← C13×#62952 #15749291

Subgroups — C13×#62952 #15749291

Order 3328.

6548 conjugacy classes of subgroups.

The subgroup lattice has 1298 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#3565C216yesmaximal, complemented
2C13×#3559C216yesmaximal, complemented
3C13×#3554C216yesmaximal, complemented
4C13×#3554C213yesmaximal, complemented
5C13×#3548C213yesmaximal, complemented
6C13×#3547C213yesmaximal, complemented
7C13×#3547C216yesmaximal, complemented
8C13×#3544C213yesmaximal, complemented
9C13×#3524C212yesmaximal, complemented
10C13×#3524C212yesmaximal, complemented
11C13×#3522C213yesmaximal, complemented
12C13×#3522C211yesmaximal, characteristic, complemented
13C13×#3517C212yesmaximal, complemented
14C13×#3517C211yesmaximal, characteristic, complemented
15C13×#3515C213yesmaximal, complemented
16C13×#3511C213yesmaximal, complemented
17C13×#3504C212yesmaximal, complemented
18C13×#3503C211yesmaximal, characteristic, complemented
19C13×#3502C211yesmaximal, characteristic, complemented
20C13×#3483C211yesmaximal, characteristic, complemented
21C13×#3480C211yesmaximal, characteristic, complemented
22Q8×C13×#41C211yesmaximal, characteristic, complemented
23C13×#3461C213yesmaximal, complemented
24C13×#563C22112yes—
25C13×#562C22112yes—
26C13×#562C22112yes—
27C13×#562C22112yes—
28C13×#559C2213yes—
29C13×#559C2216yes—
30C13×#559C2216yes—
31C13×#559C2213yes—
32Q82×C13C2213yes—
33Q82×C13C2211yescharacteristic
34Q82×C13C2211yescharacteristic
35C13×#557C2212yes—
36C13×#557C2212yes—
37C13×#557C2216yes—
38C13×#557C2213yes—
39C13×#557C2211yescharacteristic
40C13×#557C2211yescharacteristic
41C13×#557C2212yes—
42C13×#556C2213yes—
43C13×#556C2216yes—
44C13×#555C2216yes—
45C13×#555C2216yes—
46C13×#555C2213yes—
47C13×#555C2216yes—
48C13×#554C2213yes—
49C13×#554C2213yes—
50C13×#554C2216yes—
51C13×#554C2213yes—
52C13×#554C2216yes—
53C13×#554C2216yes—
54C13×#554C2213yes—
55C13×#554C2216yes—
56C13×#554C2216yes—
57C13×#553C2216yes—
58C13×#553C2216yes—
59C13×#553C2213yes—
60C13×#553C2216yes—
61C13×#553C2213yes—
62C13×#553C2216yes—
63C13×#553C2216yes—
64C13×#552C2216yes—
65C13×#552C2216yes—
66C13×#552C2216yes—
67C13×#552C22112yes—
68C13×#550C2213yes—
69C13×#550C2211yescharacteristic
70C13×#550C2212yes—
71C13×#550C2212yes—
72C13×#550C2213yes—
73C13×#550C2216yes—
74C13×#550C2211yescharacteristic
75D4×Q8×C13C2213yes—
76D4×Q8×C13C2216yes—
77C13×#548C2212yes—
78C13×#548C2216yes—
79C13×#548C2211yescharacteristic
80C13×#548C2211yescharacteristic
81C13×#548C2216yes—
82C13×#548C2216yes—
83C13×#547C2216yes—
84C13×#547C2216yes—
85C13×#547C22112yes—
86C13×#547C2216yes—
87C13×#547C2213yes—
88C13×#547C2216yes—
89C13×#547C2216yes—
90C13×#544C2213yes—
91C13×#544C2216yes—
92C13×#544C2216yes—
93C13×#544C2216yes—
94C13×#544C2216yes—
95C13×#542C2213yes—
96C13×#542C22112yes—
97C13×#542C2216yes—
98C13×#542C2216yes—
99C13×#542C2216yes—
100C13×#542C2216yes—
101C13×#542C2216yes—
102C13×#542C22112yes—
103C13×#542C2213yes—
104C13×#541C2216yes—
105C13×#541C2211yescharacteristic
106C13×#541C2213yes—
107C13×#540C2216yes—
108C13×#540C2216yes—
109C13×#540C2216yes—
110C13×#540C2216yes—
111C13×#540C2216yes—
112C13×#539C2216yes—
113C13×#539C22112yes—
114C13×#539C22112yes—
115C13×#539C2216yes—
116C13×#537C22112yes—
117C13×#537C2216yes—
118C13×#537C2213yes—
119C13×#536C22112yes—
120C13×#536C2213yes—
121C13×#536C2213yes—
122C13×#533C2216yes—
123C13×#533C2213yes—
124C13×#533C2213yes—
125C13×#533C2213yes—
126C13×#533C2216yes—
127C13×#533C2213yes—
128C13×#532C2216yes—
129C13×#532C2213yes—
130C13×#532C2213yes—
131C13×#532C2213yes—
132C13×#532C2216yes—
133C13×#532C2213yes—
134C2×C13×C4⋊Q8C2213yes—
135C13×#529C2216yes—
136C13×#529C2213yes—
137C13×#529C2213yes—
138C13×#529C2216yes—
139C13×#529C2216yes—
140C13×#529C2216yes—
141C13×#529C2213yes—
142C13×#529C2213yes—
143C13×#529C2216yes—
144C2×C13×#125C2216yes—
145C13×#520C2212yes—
146C13×#520C2216yes—
147C13×#520C2212yes—
148C13×#520C2212yes—
149C13×#519C2212yes—
150C4×C13×#41C2212yes—
151C4×C13×#41C2212yes—
152C4×C13×#41C2213yes—
153C4×C13×#41C2213yes—
154C4×C13×#41C2211yescharacteristic
155C4×C13×#41C2211yescharacteristic
156C2×C4×Q8×C13C2213yes—
157C2×C4×Q8×C13C2211yescharacteristic
158C2×C13×#41C2311yescharacteristic
159C2×C13×#41C2312yes—
160C2×C13×#41C2311yescharacteristic
161C2×C13×#41C2313yes—
162C2×C13×#41C2313yes—
163C2×C13×#41C2316yes—
164C2×C13×#41C2316yes—
165C2×C13×#41C23112yes—
166C2×C13×#41C2316yes—
167C22×Q8×C13C2311yescharacteristic
168C22×Q8×C13C2313yes—
169C22×Q8×C13C2316yes—
170C13×C4⋊Q8C2313yes—
171C13×C4⋊Q8C2313yes—
172C13×C4⋊Q8C2313yes—
173C13×C4⋊Q8C2316yes—
174C13×C4⋊Q8C2316yes—
175C13×C4⋊Q8C2313yes—
176C13×C4⋊Q8C2316yes—
177C13×C4⋊Q8C2316yes—
178C13×C4⋊Q8C2313yes—
179C13×C4⋊Q8C2311yescharacteristic
180C13×C4⋊Q8C2316yes—
181C13×C4⋊Q8C2316yes—
182C13×C4⋊Q8C2313yes—
183C13×C4⋊Q8C2313yes—
184C13×C4⋊Q8C2316yes—
185C13×C4⋊Q8C2316yes—
186C13×C4⋊Q8C23112yes—
187C13×#127C2313yes—
188C13×#127C2316yes—
189C13×#127C2316yes—
190C13×#127C2313yes—
191C13×#126C2312yes—
192C13×#126C2316yes—
193C13×#126C2316yes—
194C13×#126C2312yes—
195C13×#126C2316yes—
196C13×#126C2316yes—
197C13×#126C2316yes—
198C13×#126C2316yes—
199C13×#126C2316yes—
200C13×#126C2316yes—
201C13×#126C23112yes—
202C13×#126C23112yes—
203C13×#125C2313yes—
204C13×#125C2316yes—
205C13×#125C2316yes—
206C13×#125C2316yes—
207C13×#125C2316yes—
208C13×#125C23112yes—
209C13×#125C2312yes—
210C13×#125C2311yescharacteristic
211C13×#125C2316yes—
212C13×#125C2313yes—
213C13×#125C2316yes—
214C13×#125C2313yes—
215C13×#125C2316yes—
216C13×#125C2312yes—
217C13×#125C2316yes—
218C13×#125C2316yes—
219C13×#125C2316yes—
220C13×#125C2316yes—
221C13×#125C2316yes—
222C13×#125C23112yes—
223C13×#124C2313yes—
224C13×#124C2313yes—
225C13×#124C2316yes—
226C13×#124C2313yes—
227C13×#124C2316yes—
228C13×#124C2316yes—
229C13×#124C2316yes—
230C13×#124C2313yes—
231C13×#124C23112yes—
232C13×#124C2316yes—
233C13×#124C2316yes—
234C13×#124C2316yes—
235C13×#124C23112yes—
236C13×#124C23112yes—
237C13×#123C2316yes—
238C13×#123C2316yes—
239C13×#123C2316yes—
240C13×#123C2316yes—
241C13×#123C2316yes—
242C13×#123C2316yes—
243C13×#123C2316yes—
244C13×#123C2316yes—
245C13×#123C2316yes—
246C13×#123C2316yes—
247C13×#123C23112yes—
248C13×#123C23112yes—
249C13×#123C23112yes—
250C13×#123C23112yes—
251C13×#123C23112yes—
252C13×#123C23112yes—
253C13×#123C23112yes—
254C13×#123C23112yes—
255C13×C22⋊Q8C2311yescharacteristic
256C13×C22⋊Q8C2313yes—
257C13×C22⋊Q8C2316yes—
258C13×C22⋊Q8C2316yes—
259C13×C22⋊Q8C2313yes—
260C13×C22⋊Q8C2316yes—
261C13×C22⋊Q8C2316yes—
262C13×C22⋊Q8C2313yes—
263C13×C22⋊Q8C2313yes—
264C13×C22⋊Q8C2311yescharacteristic
265C13×C22⋊Q8C23112yes—
266C13×C22⋊Q8C2313yes—
267C13×C22⋊Q8C2316yes—
268C13×C22⋊Q8C2316yes—
269C13×C22⋊Q8C2313yes—
270C13×C22⋊Q8C2316yes—
271C13×C22⋊Q8C2316yes—
272C13×C22⋊Q8C2316yes—
273C13×C22⋊Q8C2316yes—
274C13×C22⋊Q8C2316yes—
275C13×C22⋊Q8C2316yes—
276C13×C22⋊Q8C23112yes—
277C13×C22⋊Q8C2316yes—
278C13×C22⋊Q8C23112yes—
279C13×C22⋊Q8C23112yes—
280C13×C22⋊Q8C23112yes—
281C13×C22⋊Q8C23112yes—
282C13×C22⋊Q8C23112yes—
283C13×C22⋊Q8C23112yes—
284C13×C22⋊Q8C23112yes—
285C13×#121C2313yes—
286C13×#121C2313yes—
287C13×#121C2316yes—
288C13×#121C2316yes—
289C13×#121C2316yes—
290C13×#121C2316yes—
291C13×#121C2313yes—
292C13×#121C2313yes—
293C13×#121C2316yes—
294C13×#121C2316yes—
295C13×#121C23112yes—
296C13×#121C2316yes—
297C13×#121C2316yes—
298C13×#121C23112yes—
299C13×#121C2316yes—
300C13×#121C2313yes—
301C13×#121C2313yes—
302C13×#121C2316yes—
303C13×#121C2316yes—
304C13×#121C2316yes—
305C13×#121C23112yes—
306C13×#121C23112yes—
307C13×#121C23112yes—
308C13×#121C23112yes—
309C13×#121C23112yes—
310C4×Q8×C13C2311yescharacteristic
311C4×Q8×C13C2311yescharacteristic
312C4×Q8×C13C2313yes—
313C4×Q8×C13C2311yescharacteristic
314C4×Q8×C13C2313yes—
315C4×Q8×C13C2313yes—
316C4×Q8×C13C2313yes—
317C4×Q8×C13C2316yes—
318C4×Q8×C13C2316yes—
319C4×Q8×C13C2313yes—
320C4×Q8×C13C2311yescharacteristic
321C4×Q8×C13C2311yescharacteristic
322C4×Q8×C13C2312yes—
323C4×Q8×C13C2312yes—
324C4×Q8×C13C2311yescharacteristic
325C4×Q8×C13C2312yes—
326C4×Q8×C13C2313yes—
327C4×Q8×C13C2313yes—
328C4×Q8×C13C2313yes—
329C4×Q8×C13C2316yes—
330C4×Q8×C13C2316yes—
331C4×Q8×C13C2316yes—
332C4×Q8×C13C2316yes—
333C4×Q8×C13C2316yes—
334C4×Q8×C13C2316yes—
335C4×Q8×C13C2316yes—
336C4×D4×C13C2313yes—
337C4×D4×C13C2313yes—
338C4×D4×C13C2313yes—
339C4×D4×C13C2313yes—
340C4×D4×C13C2316yes—
341C4×D4×C13C2313yes—
342C4×D4×C13C2313yes—
343C4×D4×C13C2313yes—
344C4×D4×C13C2316yes—
345C4×D4×C13C2316yes—
346C4×D4×C13C2313yes—
347C4×D4×C13C2313yes—
348C4×D4×C13C2313yes—
349C4×D4×C13C2313yes—
350C4×D4×C13C2316yes—
351C4×D4×C13C2316yes—
352C4×D4×C13C2316yes—
353C4×D4×C13C2313yes—
354C4×D4×C13C23112yes—
355C4×D4×C13C2316yes—
356C4×D4×C13C2316yes—
357C4×D4×C13C2316yes—
358C4×D4×C13C2316yes—
359C4×D4×C13C2316yes—
360C4×D4×C13C2316yes—
361C4×D4×C13C23112yes—
362C4×D4×C13C2316yes—
363C4×D4×C13C2316yes—
364C4×D4×C13C2316yes—
365C4×D4×C13C2316yes—
366C4×D4×C13C23112yes—
367C4×D4×C13C2316yes—
368C13×#117C2311yescharacteristic
369C13×#117C2313yes—
370C13×#117C2313yes—
371C13×#117C2316yes—
372C13×#117C2313yes—
373C13×#117C2313yes—
374C13×#117C2316yes—
375C13×#117C2316yes—
376C13×#117C2313yes—
377C13×#117C2316yes—
378C13×#117C2316yes—
379C13×#117C2316yes—
380C13×#117C2316yes—
381C13×#117C2316yes—
382C13×#117C23112yes—
383C13×#117C23112yes—
384C2×C13×C4⋊C4C2313yes—
385C2×C13×C4⋊C4C2316yes—
386C2×C13×C4⋊C4C2313yes—
387C2×C13×C4⋊C4C23112yes—
388C2×C13×C4⋊C4C2316yes—
389C2×C13×C4⋊C4C2316yes—
390C2×C13×C4⋊C4C2316yes—
391C2×C13×C4⋊C4C2316yes—
392C2×C13×C4⋊C4C23112yes—
393C2×C42×C13C2313yes—
394C2×C42×C13C2316yes—
395C2×C42×C13C2313yes—
396C2×C42×C13C2316yes—
397C2×C42×C13C2313yes—
398#62952C1311yesmaximal, characteristic, direct product factor, Sylow
399C13×#41—24no—
400C13×#41—28no—
401C13×#41—24no—
402C13×#41—46no—
403C13×#41—46no—
404C13×#41—412no—
405C13×#41—812no—
406C13×#41—86no—
407C13×#41—86no—
408C2×Q8×C13—24no—
409C2×Q8×C13—46no—
410C2×Q8×C13—86no—
411C2×Q8×C13C2413yes—
412C2×Q8×C13C2411yescharacteristic
413C2×Q8×C13C2413yes—
414C2×Q8×C13C2411yescharacteristic
415C2×Q8×C13C2416yes—
416C2×Q8×C13C2413yes—
417C2×Q8×C13C2416yes—
418C2×Q8×C13C2416yes—
419C2×Q8×C13C2416yes—
420C2×Q8×C13C2416yes—
421C2×Q8×C13C2411yescharacteristic
422C2×D4×C13C2413yes—
423C2×D4×C13C2413yes—
424C2×D4×C13C2416yes—
425C2×D4×C13C2413yes—
426C2×D4×C13C2413yes—
427C2×D4×C13C2413yes—
428C2×D4×C13C24112yes—
429C2×D4×C13C2416yes—
430C2×D4×C13C2413yes—
431C2×D4×C13C2416yes—
432C2×D4×C13C2416yes—
433C2×D4×C13C24112yes—
434C2×D4×C13C2416yes—
435C2×D4×C13C2416yes—
436C22×C4×C13C2413yes—
437C22×C4×C13C2411yescharacteristic
438C22×C4×C13C2416yes—
439C22×C4×C13C2413yes—
440C22×C4×C13C2413yes—
441C22×C4×C13C2413yes—
442C22×C4×C13C2413yes—
443C22×C4×C13C2416yes—
444C22×C4×C13C2413yes—
445C22×C4×C13C2416yes—
446C22×C4×C13C2413yes—
447C22×C4×C13C2416yes—
448C22×C4×C13C2416yes—
449C22×C4×C13C2413yes—
450C22×C4×C13C24112yes—
451C22×C4×C13C24112yes—
452C22×C4×C13C24112yes—
453C13×C4⋊C4C2413yes—
454C13×C4⋊C4C2413yes—
455C13×C4⋊C4C2413yes—
456C13×C4⋊C4C2416yes—
457C13×C4⋊C4C2411yescharacteristic
458C13×C4⋊C4C2412yes—
459C13×C4⋊C4C2413yes—
460C13×C4⋊C4C2416yes—
461C13×C4⋊C4C2413yes—
462C13×C4⋊C4C24112yes—
463C13×C4⋊C4C2416yes—
464C13×C4⋊C4C2416yes—
465C13×C4⋊C4C2416yes—
466C13×C4⋊C4C2416yes—
467C13×C4⋊C4C2416yes—
468C13×C4⋊C4C2416yes—
469C13×C4⋊C4C2416yes—
470C13×C4⋊C4C2413yes—
471C13×C4⋊C4C2416yes—
472C13×C4⋊C4C24112yes—
473C13×C4⋊C4C24112yes—
474C13×C4⋊C4C2416yes—
475C13×C4⋊C4C2416yes—
476C13×C4⋊C4C2416yes—
477C13×C4⋊C4C2416yes—
478C13×C4⋊C4C2413yes—
479C13×C4⋊C4C2413yes—
480C13×C4⋊C4C2411yescharacteristic
481C13×C4⋊C4C2412yes—
482C13×C4⋊C4C2412yes—
483C13×C4⋊C4C2412yes—
484C13×C4⋊C4C2412yes—
485C13×C4⋊C4C2416yes—
486C13×C4⋊C4C2411yescharacteristic
487C13×C4⋊C4C2411yescharacteristic
488C13×C4⋊C4C2416yes—
489C13×C4⋊C4C2413yes—
490C13×C4⋊C4C2413yes—
491C13×C4⋊C4C2416yes—
492C13×C4⋊C4C2416yes—
493C13×C4⋊C4C2412yes—
494C13×C4⋊C4C2416yes—
495C13×C4⋊C4C2416yes—
496C13×C4⋊C4C2412yes—
497C13×C4⋊C4C2416yes—
498C13×C4⋊C4C2412yes—
499C13×C22⋊C4C2416yes—
500C13×C22⋊C4C2412yes—
501C13×C22⋊C4C2416yes—
502C13×C22⋊C4C2416yes—
503C13×C22⋊C4C2416yes—
504C13×C22⋊C4C2413yes—
505C13×C22⋊C4C2411yescharacteristic
506C13×C22⋊C4C2413yes—
507C13×C22⋊C4C2411yescharacteristic
508C13×C22⋊C4C2416yes—
509C13×C22⋊C4C2416yes—
510C13×C22⋊C4C2416yes—
511C13×C22⋊C4C24112yes—
512C13×C22⋊C4C2416yes—
513C13×C22⋊C4C2416yes—
514C13×C22⋊C4C24112yes—
515C13×C22⋊C4C2416yes—
516C13×C22⋊C4C2416yes—
517C13×C22⋊C4C2416yes—
518C13×C22⋊C4C2413yes—
519C13×C22⋊C4C2416yes—
520C13×C22⋊C4C2416yes—
521C13×C22⋊C4C24112yes—
522C13×C22⋊C4C2413yes—
523C13×C22⋊C4C2416yes—
524C13×C22⋊C4C2416yes—
525C13×C22⋊C4C2412yes—
526C13×C22⋊C4C2416yes—
527C42×C13C2411yescharacteristic
528C42×C13C2411yescharacteristic
529C42×C13C2413yes—
530C42×C13C2413yes—
531C42×C13C2412yes—
532C42×C13C2412yes—
533C42×C13C2416yes—
534C42×C13C2416yes—
535C42×C13C2413yes—
536C42×C13C2413yes—
537C42×C13C2416yes—
538C42×C13C2413yes—
539C42×C13C2413yes—
540C42×C13C2416yes—
541C42×C13C2416yes—
542C42×C13C2413yes—
543C42×C13C2413yes—
544C42×C13C24112yes—
545#3565C2×C1316yescomplemented
546#3559C2×C1316yescomplemented
547#3554C2×C1313yescomplemented
548#3554C2×C1316yescomplemented
549#3548C2×C1313yescomplemented
550#3547C2×C1313yescomplemented
551#3547C2×C1316yescomplemented
552#3544C2×C1313yescomplemented
553#3524C2×C1312yescomplemented
554#3524C2×C1312yescomplemented
555#3522C2×C1313yescomplemented
556#3522C2×C1311yescharacteristic, complemented
557#3517C2×C1312yescomplemented
558#3517C2×C1311yescharacteristic, complemented
559#3515C2×C1313yescomplemented
560#3511C2×C1313yescomplemented
561#3504C2×C1312yescomplemented
562#3503C2×C1311yescharacteristic, complemented
563#3502C2×C1311yescharacteristic, complemented
564#3483C2×C1311yescharacteristic, complemented
565#3480C2×C1311yescharacteristic, complemented
566Q8×#41C2×C1311yescharacteristic, complemented
567#3461C2×C1313yescomplemented
568C23×C13C2511yescharacteristic
569C23×C13C2513yes—
570C23×C13C2513yes—
571C23×C13C2516yes—
572Q8×C13—26no—
573Q8×C13—22no—
574Q8×C13—26no—
575Q8×C13—22no—
576Q8×C13—46no—
577Q8×C13—46no—
578Q8×C13—46no—
579Q8×C13—46no—
580Q8×C13—43no—
581Q8×C13—46no—
582Q8×C132−1+414yes—
583D4×C13—26no—
584D4×C13—26no—
585D4×C13—212no—
586D4×C13—26no—
587D4×C13—43no—
588D4×C13—43no—
589D4×C13—43no—
590D4×C13—46no—
591D4×C13—412no—
592D4×C13—46no—
593D4×C13—46no—
594D4×C13—46no—
595D4×C13—46no—
596D4×C13—412no—
597C2×C4×C13—26no—
598C2×C4×C13—26no—
599C2×C4×C13—212no—
600C2×C4×C13—26no—
601C2×C4×C13—26no—
602C2×C4×C13—26no—
603C2×C4×C13—22no—
604C2×C4×C13—46no—
605C2×C4×C13—43no—
606C2×C4×C13—412no—
607C2×C4×C13—412no—
608C2×C4×C13—46no—
609C2×C4×C13—43no—
610C2×C4×C13—46no—
611C2×C4×C13—412no—
612C2×C4×C13—43no—
613C2×C4×C13—46no—
614C2×C4×C13C2511yescharacteristic
615C2×C4×C13C2513yes—
616C2×C4×C13C2511yescharacteristic
617C2×C4×C13C2511yescharacteristic
618C2×C4×C13C2511yescharacteristic
619C2×C4×C13C2512yes—
620C2×C4×C13C2512yes—
621C2×C4×C13C2511yescharacteristic
622C2×C4×C13C2513yes—
623C2×C4×C13C2516yes—
624C2×C4×C13C2513yes—
625C2×C4×C13C2516yes—
626C2×C4×C13C2512yes—
627C2×C4×C13C2512yes—
628C2×C4×C13C2513yes—
629C2×C4×C13C2516yes—
630C2×C4×C13C2513yes—
631C2×C4×C13C2513yes—
632C2×C4×C13C2511yescharacteristic
633#563C22×C13112yes—
634#562C22×C13112yes—
635#562C22×C13112yes—
636#562C22×C13112yes—
637#559C22×C1313yes—
638#559C22×C1313yes—
639#559C22×C1316yes—
640#559C22×C1316yes—
641Q82C22×C1311yescharacteristic
642Q82C22×C1311yescharacteristic
643Q82C22×C1313yes—
644#557C22×C1311yescharacteristic
645#557C22×C1312yes—
646#557C22×C1311yescharacteristic
647#557C22×C1312yes—
648#557C22×C1313yes—
649#557C22×C1316yes—
650#557C22×C1312yes—
651#556C22×C1313yes—
652#556C22×C1316yes—
653#555C22×C1313yes—
654#555C22×C1316yes—
655#555C22×C1316yes—
656#555C22×C1316yes—
657#554C22×C1313yes—
658#554C22×C1316yes—
659#554C22×C1313yes—
660#554C22×C1313yes—
661#554C22×C1316yes—
662#554C22×C1316yes—
663#554C22×C1316yes—
664#554C22×C1316yes—
665#554C22×C1313yes—
666#553C22×C1313yes—
667#553C22×C1313yes—
668#553C22×C1316yes—
669#553C22×C1316yes—
670#553C22×C1316yes—
671#553C22×C1316yes—
672#553C22×C1316yes—
673#552C22×C1316yes—
674#552C22×C1316yes—
675#552C22×C13112yes—
676#552C22×C1316yes—
677#550C22×C1311yescharacteristic
678#550C22×C1311yescharacteristic
679#550C22×C1312yes—
680#550C22×C1313yes—
681#550C22×C1312yes—
682#550C22×C1313yes—
683#550C22×C1316yes—
684D4×Q8C22×C1313yes—
685D4×Q8C22×C1316yes—
686#548C22×C1311yescharacteristic
687#548C22×C1311yescharacteristic
688#548C22×C1316yes—
689#548C22×C1316yes—
690#548C22×C1312yes—
691#548C22×C1316yes—
692#547C22×C1316yes—
693#547C22×C1313yes—
694#547C22×C1316yes—
695#547C22×C1316yes—
696#547C22×C1316yes—
697#547C22×C1316yes—
698#547C22×C13112yes—
699#544C22×C1313yes—
700#544C22×C1316yes—
701#544C22×C1316yes—
702#544C22×C1316yes—
703#544C22×C1316yes—
704#542C22×C1313yes—
705#542C22×C1313yes—
706#542C22×C1316yes—
707#542C22×C1316yes—
708#542C22×C13112yes—
709#542C22×C1316yes—
710#542C22×C1316yes—
711#542C22×C1316yes—
712#542C22×C13112yes—
713#541C22×C1311yescharacteristic
714#541C22×C1313yes—
715#541C22×C1316yes—
716#540C22×C1316yes—
717#540C22×C1316yes—
718#540C22×C1316yes—
719#540C22×C1316yes—
720#540C22×C1316yes—
721#539C22×C1316yes—
722#539C22×C1316yes—
723#539C22×C13112yes—
724#539C22×C13112yes—
725#537C22×C1313yes—
726#537C22×C1316yes—
727#537C22×C13112yes—
728#536C22×C1313yes—
729#536C22×C1313yes—
730#536C22×C13112yes—
731#533C22×C1313yes—
732#533C22×C1313yes—
733#533C22×C1316yes—
734#533C22×C1313yes—
735#533C22×C1316yes—
736#533C22×C1313yes—
737#532C22×C1313yes—
738#532C22×C1313yes—
739#532C22×C1316yes—
740#532C22×C1313yes—
741#532C22×C1313yes—
742#532C22×C1316yes—
743C2×C4⋊Q8C22×C1313yes—
744#529C22×C1313yes—
745#529C22×C1316yes—
746#529C22×C1313yes—
747#529C22×C1316yes—
748#529C22×C1316yes—
749#529C22×C1313yes—
750#529C22×C1313yes—
751#529C22×C1316yes—
752#529C22×C1316yes—
753C2×#125C22×C1316yes—
754#520C22×C1312yes—
755#520C22×C1312yes—
756#520C22×C1312yes—
757#520C22×C1316yes—
758#519C22×C1312yes—
759C4×#41C22×C1313yes—
760C4×#41C22×C1313yes—
761C4×#41C22×C1311yescharacteristic
762C4×#41C22×C1312yes—
763C4×#41C22×C1311yescharacteristic
764C4×#41C22×C1312yes—
765C2×C4×Q8C22×C1313yes—
766C2×C4×Q8C22×C1311yescharacteristic
767C22×C13—21no—
768C22×C13—23no—
769C22×C13—23no—
770C22×C13—26no—
771C22×C13—23no—
772C22×C13—21no—
773C22×C13—23no—
774C22×C13—26no—
775C22×C13—23no—
776C22×C13—21no—
777C22×C13—23no—
778C22×C13—26no—
779C22×C13C2611yescharacteristic
780C4×C13—21no—
781C4×C13—21no—
782C4×C13—22no—
783C4×C13—23no—
784C4×C13—23no—
785C4×C13—23no—
786C4×C13—21no—
787C4×C13—22no—
788C4×C13—26no—
789C4×C13—22no—
790C4×C13—21no—
791C4×C13—23no—
792C4×C13—26no—
793C4×C13—22no—
794C4×C13—23no—
795C4×C13—26no—
796C4×C13—21no—
797C4×C13C2×2−1+416yes—
798C4×C13#58512yes—
799C2×#41C23×C1311yescharacteristic
800C2×#41C23×C1311yescharacteristic
801C2×#41C23×C1312yes—
802C2×#41C23×C1313yes—
803C2×#41C23×C1313yes—
804C2×#41C23×C1316yes—
805C2×#41C23×C1316yes—
806C2×#41C23×C13112yes—
807C2×#41C23×C1316yes—
808C22×Q8C23×C1311yescharacteristic
809C22×Q8C23×C1313yes—
810C22×Q8C23×C1316yes—
811C4⋊Q8C23×C1313yes—
812C4⋊Q8C23×C1313yes—
813C4⋊Q8C23×C1313yes—
814C4⋊Q8C23×C1316yes—
815C4⋊Q8C23×C1316yes—
816C4⋊Q8C23×C1313yes—
817C4⋊Q8C23×C1316yes—
818C4⋊Q8C23×C1316yes—
819C4⋊Q8C23×C1313yes—
820C4⋊Q8C23×C1311yescharacteristic
821C4⋊Q8C23×C1316yes—
822C4⋊Q8C23×C1316yes—
823C4⋊Q8C23×C1313yes—
824C4⋊Q8C23×C1313yes—
825C4⋊Q8C23×C1316yes—
826C4⋊Q8C23×C1316yes—
827C4⋊Q8C23×C13112yes—
828#127C23×C1313yes—
829#127C23×C1316yes—
830#127C23×C1316yes—
831#127C23×C1313yes—
832#126C23×C1312yes—
833#126C23×C1316yes—
834#126C23×C1316yes—
835#126C23×C1312yes—
836#126C23×C1316yes—
837#126C23×C1316yes—
838#126C23×C1316yes—
839#126C23×C1316yes—
840#126C23×C1316yes—
841#126C23×C1316yes—
842#126C23×C13112yes—
843#126C23×C13112yes—
844#125C23×C1313yes—
845#125C23×C1316yes—
846#125C23×C1316yes—
847#125C23×C1316yes—
848#125C23×C1316yes—
849#125C23×C13112yes—
850#125C23×C1312yes—
851#125C23×C1311yescharacteristic
852#125C23×C1316yes—
853#125C23×C1313yes—
854#125C23×C1316yes—
855#125C23×C1313yes—
856#125C23×C1316yes—
857#125C23×C1312yes—
858#125C23×C1316yes—
859#125C23×C1316yes—
860#125C23×C1316yes—
861#125C23×C1316yes—
862#125C23×C1316yes—
863#125C23×C13112yes—
864#124C23×C1313yes—
865#124C23×C1313yes—
866#124C23×C1316yes—
867#124C23×C1313yes—
868#124C23×C1316yes—
869#124C23×C1316yes—
870#124C23×C1316yes—
871#124C23×C1313yes—
872#124C23×C13112yes—
873#124C23×C1316yes—
874#124C23×C1316yes—
875#124C23×C1316yes—
876#124C23×C13112yes—
877#124C23×C13112yes—
878#123C23×C1316yes—
879#123C23×C1316yes—
880#123C23×C1316yes—
881#123C23×C1316yes—
882#123C23×C1316yes—
883#123C23×C1316yes—
884#123C23×C1316yes—
885#123C23×C1316yes—
886#123C23×C1316yes—
887#123C23×C1316yes—
888#123C23×C13112yes—
889#123C23×C13112yes—
890#123C23×C13112yes—
891#123C23×C13112yes—
892#123C23×C13112yes—
893#123C23×C13112yes—
894#123C23×C13112yes—
895#123C23×C13112yes—
896C22⋊Q8C23×C1311yescharacteristic
897C22⋊Q8C23×C1313yes—
898C22⋊Q8C23×C1316yes—
899C22⋊Q8C23×C1316yes—
900C22⋊Q8C23×C1313yes—
901C22⋊Q8C23×C1316yes—
902C22⋊Q8C23×C1316yes—
903C22⋊Q8C23×C1313yes—
904C22⋊Q8C23×C1313yes—
905C22⋊Q8C23×C1311yescharacteristic
906C22⋊Q8C23×C13112yes—
907C22⋊Q8C23×C1313yes—
908C22⋊Q8C23×C1316yes—
909C22⋊Q8C23×C1316yes—
910C22⋊Q8C23×C1313yes—
911C22⋊Q8C23×C1316yes—
912C22⋊Q8C23×C1316yes—
913C22⋊Q8C23×C1316yes—
914C22⋊Q8C23×C1316yes—
915C22⋊Q8C23×C1316yes—
916C22⋊Q8C23×C1316yes—
917C22⋊Q8C23×C13112yes—
918C22⋊Q8C23×C1316yes—
919C22⋊Q8C23×C13112yes—
920C22⋊Q8C23×C13112yes—
921C22⋊Q8C23×C13112yes—
922C22⋊Q8C23×C13112yes—
923C22⋊Q8C23×C13112yes—
924C22⋊Q8C23×C13112yes—
925C22⋊Q8C23×C13112yes—
926#121C23×C1313yes—
927#121C23×C1313yes—
928#121C23×C1316yes—
929#121C23×C1316yes—
930#121C23×C1316yes—
931#121C23×C1316yes—
932#121C23×C1313yes—
933#121C23×C1313yes—
934#121C23×C1316yes—
935#121C23×C1316yes—
936#121C23×C13112yes—
937#121C23×C1316yes—
938#121C23×C1316yes—
939#121C23×C13112yes—
940#121C23×C1316yes—
941#121C23×C1313yes—
942#121C23×C1313yes—
943#121C23×C1316yes—
944#121C23×C1316yes—
945#121C23×C1316yes—
946#121C23×C13112yes—
947#121C23×C13112yes—
948#121C23×C13112yes—
949#121C23×C13112yes—
950#121C23×C13112yes—
951C4×Q8C23×C1311yescharacteristic
952C4×Q8C23×C1311yescharacteristic
953C4×Q8C23×C1313yes—
954C4×Q8C23×C1311yescharacteristic
955C4×Q8C23×C1313yes—
956C4×Q8C23×C1313yes—
957C4×Q8C23×C1313yes—
958C4×Q8C23×C1316yes—
959C4×Q8C23×C1316yes—
960C4×Q8C23×C1313yes—
961C4×Q8C23×C1311yescharacteristic
962C4×Q8C23×C1311yescharacteristic
963C4×Q8C23×C1312yes—
964C4×Q8C23×C1312yes—
965C4×Q8C23×C1311yescharacteristic
966C4×Q8C23×C1312yes—
967C4×Q8C23×C1313yes—
968C4×Q8C23×C1313yes—
969C4×Q8C23×C1313yes—
970C4×Q8C23×C1316yes—
971C4×Q8C23×C1316yes—
972C4×Q8C23×C1316yes—
973C4×Q8C23×C1316yes—
974C4×Q8C23×C1316yes—
975C4×Q8C23×C1316yes—
976C4×Q8C23×C1316yes—
977C4×D4C23×C1313yes—
978C4×D4C23×C1313yes—
979C4×D4C23×C1313yes—
980C4×D4C23×C1313yes—
981C4×D4C23×C1316yes—
982C4×D4C23×C1313yes—
983C4×D4C23×C1313yes—
984C4×D4C23×C1313yes—
985C4×D4C23×C1316yes—
986C4×D4C23×C1313yes—
987C4×D4C23×C1316yes—
988C4×D4C23×C1313yes—
989C4×D4C23×C1313yes—
990C4×D4C23×C1313yes—
991C4×D4C23×C1316yes—
992C4×D4C23×C1316yes—
993C4×D4C23×C1316yes—
994C4×D4C23×C1313yes—
995C4×D4C23×C13112yes—
996C4×D4C23×C1316yes—
997C4×D4C23×C1316yes—
998C4×D4C23×C1316yes—
999C4×D4C23×C1316yes—
1000C4×D4C23×C1316yes—
1001C4×D4C23×C1316yes—
1002C4×D4C23×C13112yes—
1003C4×D4C23×C1316yes—
1004C4×D4C23×C1316yes—
1005C4×D4C23×C1316yes—
1006C4×D4C23×C1316yes—
1007C4×D4C23×C13112yes—
1008C4×D4C23×C1316yes—
1009#117C23×C1311yescharacteristic
1010#117C23×C1313yes—
1011#117C23×C1313yes—
1012#117C23×C1316yes—
1013#117C23×C1313yes—
1014#117C23×C1313yes—
1015#117C23×C1316yes—
1016#117C23×C1316yes—
1017#117C23×C1313yes—
1018#117C23×C1316yes—
1019#117C23×C1316yes—
1020#117C23×C1316yes—
1021#117C23×C1316yes—
1022#117C23×C1316yes—
1023#117C23×C13112yes—
1024#117C23×C13112yes—
1025C2×C4⋊C4C23×C1313yes—
1026C2×C4⋊C4C23×C1316yes—
1027C2×C4⋊C4C23×C1313yes—
1028C2×C4⋊C4C23×C13112yes—
1029C2×C4⋊C4C23×C1316yes—
1030C2×C4⋊C4C23×C1316yes—
1031C2×C4⋊C4C23×C1316yes—
1032C2×C4⋊C4C23×C1316yes—
1033C2×C4⋊C4C23×C13112yes—
1034C2×C42C23×C1313yes—
1035C2×C42C23×C1316yes—
1036C2×C42C23×C1313yes—
1037C2×C42C23×C1316yes—
1038C2×C42C23×C1313yes—
1039C2×C13—41no—
1040C2×C13—43no—
1041C2×C13—43no—
1042C2×C13—46no—
1043C2×C13C22×2−1+411yescharacteristic
1044C2×C13C2×#58511yescharacteristic
1045C2×C13H(7,𝔽2)11yescharacteristic
1046#41—24no—
1047#41—24no—
1048#41—28no—
1049#41—46no—
1050#41—46no—
1051#41—412no—
1052#41—812no—
1053#41—86no—
1054#41—86no—
1055C2×Q8—24no—
1056C2×Q8—46no—
1057C2×Q8—86no—
1058C2×Q8C24×C1313yes—
1059C2×Q8C24×C1311yescharacteristic
1060C2×Q8C24×C1313yes—
1061C2×Q8C24×C1311yescharacteristic
1062C2×Q8C24×C1316yes—
1063C2×Q8C24×C1313yes—
1064C2×Q8C24×C1316yes—
1065C2×Q8C24×C1316yes—
1066C2×Q8C24×C1316yes—
1067C2×Q8C24×C1316yes—
1068C2×Q8C24×C1311yescharacteristic
1069C2×D4C24×C1313yes—
1070C2×D4C24×C1313yes—
1071C2×D4C24×C1316yes—
1072C2×D4C24×C1313yes—
1073C2×D4C24×C1313yes—
1074C2×D4C24×C1313yes—
1075C2×D4C24×C13112yes—
1076C2×D4C24×C1316yes—
1077C2×D4C24×C1313yes—
1078C2×D4C24×C1316yes—
1079C2×D4C24×C1316yes—
1080C2×D4C24×C13112yes—
1081C2×D4C24×C1316yes—
1082C2×D4C24×C1316yes—
1083C22×C4C24×C1313yes—
1084C22×C4C24×C1311yescharacteristic
1085C22×C4C24×C1316yes—
1086C22×C4C24×C1313yes—
1087C22×C4C24×C1313yes—
1088C22×C4C24×C1313yes—
1089C22×C4C24×C1313yes—
1090C22×C4C24×C1316yes—
1091C22×C4C24×C1313yes—
1092C22×C4C24×C1316yes—
1093C22×C4C24×C1313yes—
1094C22×C4C24×C1316yes—
1095C22×C4C24×C1316yes—
1096C22×C4C24×C1313yes—
1097C22×C4C24×C13112yes—
1098C22×C4C24×C13112yes—
1099C22×C4C24×C13112yes—
1100C4⋊C4C24×C1313yes—
1101C4⋊C4C24×C1313yes—
1102C4⋊C4C24×C1313yes—
1103C4⋊C4C24×C1316yes—
1104C4⋊C4C24×C1311yescharacteristic
1105C4⋊C4C24×C1312yes—
1106C4⋊C4C24×C1313yes—
1107C4⋊C4C24×C1316yes—
1108C4⋊C4C24×C1313yes—
1109C4⋊C4C24×C13112yes—
1110C4⋊C4C24×C1316yes—
1111C4⋊C4C24×C1316yes—
1112C4⋊C4C24×C1316yes—
1113C4⋊C4C24×C1316yes—
1114C4⋊C4C24×C1316yes—
1115C4⋊C4C24×C1316yes—
1116C4⋊C4C24×C1316yes—
1117C4⋊C4C24×C1313yes—
1118C4⋊C4C24×C1316yes—
1119C4⋊C4C24×C13112yes—
1120C4⋊C4C24×C13112yes—
1121C4⋊C4C24×C1316yes—
1122C4⋊C4C24×C1316yes—
1123C4⋊C4C24×C1316yes—
1124C4⋊C4C24×C1316yes—
1125C4⋊C4C24×C1313yes—
1126C4⋊C4C24×C1313yes—
1127C4⋊C4C24×C1311yescharacteristic
1128C4⋊C4C24×C1312yes—
1129C4⋊C4C24×C1312yes—
1130C4⋊C4C24×C1312yes—
1131C4⋊C4C24×C1312yes—
1132C4⋊C4C24×C1316yes—
1133C4⋊C4C24×C1311yescharacteristic
1134C4⋊C4C24×C1311yescharacteristic
1135C4⋊C4C24×C1316yes—
1136C4⋊C4C24×C1313yes—
1137C4⋊C4C24×C1313yes—
1138C4⋊C4C24×C1316yes—
1139C4⋊C4C24×C1316yes—
1140C4⋊C4C24×C1312yes—
1141C4⋊C4C24×C1316yes—
1142C4⋊C4C24×C1316yes—
1143C4⋊C4C24×C1312yes—
1144C4⋊C4C24×C1316yes—
1145C4⋊C4C24×C1312yes—
1146C22⋊C4C24×C1316yes—
1147C22⋊C4C24×C1312yes—
1148C22⋊C4C24×C1316yes—
1149C22⋊C4C24×C1316yes—
1150C22⋊C4C24×C1316yes—
1151C22⋊C4C24×C1313yes—
1152C22⋊C4C24×C1311yescharacteristic
1153C22⋊C4C24×C1313yes—
1154C22⋊C4C24×C1311yescharacteristic
1155C22⋊C4C24×C1316yes—
1156C22⋊C4C24×C1316yes—
1157C22⋊C4C24×C1316yes—
1158C22⋊C4C24×C13112yes—
1159C22⋊C4C24×C1316yes—
1160C22⋊C4C24×C1316yes—
1161C22⋊C4C24×C13112yes—
1162C22⋊C4C24×C1316yes—
1163C22⋊C4C24×C1316yes—
1164C22⋊C4C24×C1316yes—
1165C22⋊C4C24×C1313yes—
1166C22⋊C4C24×C1316yes—
1167C22⋊C4C24×C1316yes—
1168C22⋊C4C24×C13112yes—
1169C22⋊C4C24×C1313yes—
1170C22⋊C4C24×C1316yes—
1171C22⋊C4C24×C1316yes—
1172C22⋊C4C24×C1312yes—
1173C22⋊C4C24×C1316yes—
1174C42C24×C1311yescharacteristic
1175C42C24×C1311yescharacteristic
1176C42C24×C1313yes—
1177C42C24×C1313yes—
1178C42C24×C1312yes—
1179C42C24×C1312yes—
1180C42C24×C1316yes—
1181C42C24×C1316yes—
1182C42C24×C1313yes—
1183C42C24×C1313yes—
1184C42C24×C1316yes—
1185C42C24×C1313yes—
1186C42C24×C1313yes—
1187C42C24×C1316yes—
1188C42C24×C1316yes—
1189C42C24×C1313yes—
1190C42C24×C1313yes—
1191C42C24×C13112yes—
1192C13#6295211yescharacteristic, direct product factor, Sylow
1193C23C25×C1311yescharacteristic
1194C23C25×C1313yes—
1195C23C25×C1313yes—
1196C23C25×C1316yes—
1197Q8—26no—
1198Q8—22no—
1199Q8—26no—
1200Q8—22no—
1201Q8—46no—
1202Q8—46no—
1203Q8—46no—
1204Q8—46no—
1205Q8—43no—
1206Q8—46no—
1207Q8C13×2−1+414yes—
1208D4—26no—
1209D4—26no—
1210D4—212no—
1211D4—26no—
1212D4—43no—
1213D4—43no—
1214D4—43no—
1215D4—46no—
1216D4—412no—
1217D4—46no—
1218D4—46no—
1219D4—46no—
1220D4—46no—
1221D4—412no—
1222C2×C4—26no—
1223C2×C4—26no—
1224C2×C4—212no—
1225C2×C4—26no—
1226C2×C4—26no—
1227C2×C4—26no—
1228C2×C4—22no—
1229C2×C4—46no—
1230C2×C4—43no—
1231C2×C4—412no—
1232C2×C4—412no—
1233C2×C4—46no—
1234C2×C4—43no—
1235C2×C4—46no—
1236C2×C4—412no—
1237C2×C4—43no—
1238C2×C4—46no—
1239C2×C4C25×C1311yescharacteristic
1240C2×C4C25×C1313yes—
1241C2×C4C25×C1311yescharacteristic
1242C2×C4C25×C1311yescharacteristic
1243C2×C4C25×C1311yescharacteristic
1244C2×C4C25×C1312yes—
1245C2×C4C25×C1312yes—
1246C2×C4C25×C1311yescharacteristic
1247C2×C4C25×C1313yes—
1248C2×C4C25×C1316yes—
1249C2×C4C25×C1313yes—
1250C2×C4C25×C1316yes—
1251C2×C4C25×C1312yes—
1252C2×C4C25×C1312yes—
1253C2×C4C25×C1313yes—
1254C2×C4C25×C1316yes—
1255C2×C4C25×C1313yes—
1256C2×C4C25×C1313yes—
1257C2×C4C25×C1311yescharacteristic
1258C22—21no—
1259C22—23no—
1260C22—23no—
1261C22—26no—
1262C22—23no—
1263C22—21no—
1264C22—23no—
1265C22—26no—
1266C22—23no—
1267C22—21no—
1268C22—23no—
1269C22—26no—
1270C22C26×C1311yescharacteristic
1271C4—21no—
1272C4—21no—
1273C4—22no—
1274C4—23no—
1275C4—23no—
1276C4—23no—
1277C4—21no—
1278C4—22no—
1279C4—26no—
1280C4—22no—
1281C4—21no—
1282C4—23no—
1283C4—26no—
1284C4—22no—
1285C4—23no—
1286C4—26no—
1287C4—21no—
1288C4C2×C13×2−1+416yes—
1289C4C13×#58512yes—
1290C2—41no—
1291C2—43no—
1292C2—43no—
1293C2—46no—
1294C2C22×C13×2−1+411yescharacteristic
1295C2C2×C13×#58511yescharacteristic
1296C2C13×H(7,𝔽2)11yescharacteristic
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×#3559C2semidirect
3. C13×#3554C2semidirect
4. C13×#3554C2semidirect
5. C13×#3548C2semidirect
6. C13×#3547C2semidirect
7. C13×#3547C2semidirect
8. C13×#3544C2semidirect
9. C13×#3524C2semidirect
10. C13×#3524C2semidirect
11. C13×#3522C2semidirect
12. C13×#3522C2semidirect
13. C13×#3517C2semidirect
14. C13×#3517C2semidirect
15. C13×#3515C2semidirect
16. C13×#3511C2semidirect
17. C13×#3504C2semidirect
18. C13×#3503C2semidirect
19. C13×#3502C2semidirect
20. C13×#3483C2semidirect
21. C13×#3480C2semidirect
22. Q8×C13×#41C2semidirect
23. C13×#3461C2semidirect
398. #62952C13direct (N × H)
545. #3565C2×C13semidirect
546. #3559C2×C13semidirect
547. #3554C2×C13semidirect
548. #3554C2×C13semidirect
549. #3548C2×C13semidirect
550. #3547C2×C13semidirect
551. #3547C2×C13semidirect
552. #3544C2×C13semidirect
553. #3524C2×C13semidirect
554. #3524C2×C13semidirect
555. #3522C2×C13semidirect
556. #3522C2×C13semidirect
557. #3517C2×C13semidirect
558. #3517C2×C13semidirect
559. #3515C2×C13semidirect
560. #3511C2×C13semidirect
561. #3504C2×C13semidirect
562. #3503C2×C13semidirect
563. #3502C2×C13semidirect
564. #3483C2×C13semidirect
565. #3480C2×C13semidirect
566. Q8×#41C2×C13semidirect
567. #3461C2×C13semidirect
1192. C13#62952direct (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×#35592
C13×#35542
C13×#35482
C13×#35472
C13×#35442
C13×#35242
C13×#35222
C13×#35172
C13×#35152
C13×#35112
C13×#35042
C13×#35032
C13×#35022
C13×#34832
C13×#34802
Q8×C13×#412
C13×#34612
#6295213