Finite Group Databasebeta

← C13×#62897 #15749236

Subgroups — C13×#62897 #15749236

Order 3328.

7094 conjugacy classes of subgroups.

The subgroup lattice has 1216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#3562C216yesmaximal, complemented
2C13×#3561C213yesmaximal, complemented
3C13×#3558C213yesmaximal, complemented
4C13×#3554C216yesmaximal, complemented
5C13×#3542C216yesmaximal, complemented
6C13×#3541C216yesmaximal, complemented
7C13×#3540C216yesmaximal, complemented
8C13×#3524C212yesmaximal, complemented
9C13×#3523C211yesmaximal, characteristic, complemented
10C13×#3522C211yesmaximal, characteristic, complemented
11C13×#3520C216yesmaximal, complemented
12C13×#3518C212yesmaximal, complemented
13C13×#3506C213yesmaximal, complemented
14C13×#3489C212yesmaximal, complemented
15C13×#3487C212yesmaximal, complemented
16C13×#3486C212yesmaximal, complemented
17D4×C13×#41C212yesmaximal, complemented
18C2×C13×#548C211yesmaximal, characteristic, complemented
19C13×#3459C213yesmaximal, complemented
20C2×C13×2−1+4C2212yescomplemented
21C22×C13×#41C2211yescharacteristic
22C22×C13×#41C2212yescomplemented
23C23×Q8×C13C2211yescharacteristic, complemented
24C13×#563C2216yescomplemented
25C13×#562C22112yescomplemented
26C13×#562C2216yescomplemented
27C13×#562C2216yescomplemented
28C13×H(3,𝔽4)C2216yescomplemented
29C13×#560C22112yescomplemented
30C13×#559C2213yescomplemented
31C13×#559C2216yescomplemented
32C13×#559C22112yescomplemented
33Q82×C13C2211yescharacteristic, complemented
34C13×#557C2211yescharacteristic, complemented
35C13×#557C2213yescomplemented
36C13×#556C2216yescomplemented
37C13×#556C2216yescomplemented
38C13×#556C2216yescomplemented
39C13×#556C2213yescomplemented
40C13×#555C2216yescomplemented
41C13×#555C2216yescomplemented
42C13×#554C22112yescomplemented
43C13×#554C2213yescomplemented
44C13×#553C2216yescomplemented
45C13×#553C22112yescomplemented
46C13×#552C2216yescomplemented
47C13×#552C2216yescomplemented
48C13×#551C22112yescomplemented
49C13×#551C22112yescomplemented
50C13×#550C2211yescharacteristic, complemented
51C13×#550C2212yescomplemented
52C13×#550C2216yescomplemented
53C13×#550C2216yescomplemented
54D4×Q8×C13C2212yescomplemented
55D4×Q8×C13C2216yescomplemented
56D4×Q8×C13C2212yescomplemented
57D4×Q8×C13C2211yescharacteristic, complemented
58D4×Q8×C13C2216yescomplemented
59C13×#548C2212yescomplemented
60C13×#548C2212yescomplemented
61C13×#548C2216yescomplemented
62C13×#548C2216yescomplemented
63C13×#548C2212yescomplemented
64C13×#548C2212yescomplemented
65C13×#548C2212yescomplemented
66C13×#548C2216yescomplemented
67C13×#548C2216yescomplemented
68C13×#548C2216yescomplemented
69C13×#548C2216yescomplemented
70C13×#547C2216yescomplemented
71C13×#547C2216yescomplemented
72C13×#547C2216yescomplemented
73C13×#547C2216yescomplemented
74C13×#546C22112yescomplemented
75C13×#546C2216yescomplemented
76C13×#546C2216yescomplemented
77C13×#546C2216yescomplemented
78C13×#546C2216yescomplemented
79D42×C13C2216yescomplemented
80C13×#543C2213yescomplemented
81C13×#542C2216yescomplemented
82C13×#542C2216yescomplemented
83C13×#542C22112yescomplemented
84C13×#542C2216yescomplemented
85C13×#542C2216yescomplemented
86C13×#542C22112yescomplemented
87C13×#541C2216yescomplemented
88C13×#540C2216yescomplemented
89C13×#540C22112yescomplemented
90C13×#539C2216yescomplemented
91C13×#539C22112yescomplemented
92C13×#539C2216yescomplemented
93C13×#539C2216yescomplemented
94C13×#538C2211yescharacteristic
95C13×#538C2216yescomplemented
96C13×#538C22112yescomplemented
97C13×#538C22112yescomplemented
98C13×#538C2216yescomplemented
99C13×#538C2216yescomplemented
100C13×#538C2213yescomplemented
101C13×#537C2216yescomplemented
102C13×#536C2216yescomplemented
103C13×#536C2216yescomplemented
104C13×#536C2216yescomplemented
105C13×#535C2216yescomplemented
106C13×#535C2216yescomplemented
107C13×#535C2216yescomplemented
108C13×#534C2213yes—
109C13×#534C2216yescomplemented
110C13×#533C2216yescomplemented
111C13×#533C2213yescomplemented
112C13×#532C2213yescomplemented
113C13×#532C2216yescomplemented
114C13×#529C2213yes—
115C13×#529C2216yescomplemented
116C13×#529C2216yescomplemented
117C13×#529C2213yescomplemented
118C13×#529C2216yescomplemented
119C2×C13×#124C2213yescomplemented
120C13×#525C2216yescomplemented
121C13×#525C2216yescomplemented
122C13×#525C2216yescomplemented
123C13×#525C2216yescomplemented
124C13×#525C2216yescomplemented
125C13×#525C2216yescomplemented
126C13×#525C2216yescomplemented
127C2×C13×C22⋊Q8C2213yescomplemented
128C2×C13×C22⋊Q8C2216yescomplemented
129C2×C13×#121C2213yescomplemented
130C13×#520C2216yescomplemented
131C13×#520C2212yescomplemented
132C13×#519C2212yescomplemented
133C13×#519C2212yescomplemented
134C4×C13×#41C2212yescomplemented
135C2×C4×Q8×C13C2211yescharacteristic, complemented
136C2×C4×D4×C13C2216yescomplemented
137C2×C4×D4×C13C2213yescomplemented
138C13×2−1+4—48no—
139C2×C13×#41—44no—
140C2×C13×#41—48no—
141C2×C13×#41C2312yes—
142C2×C13×#41C2312yes—
143C2×C13×#41C2316yes—
144C2×C13×#41C2316yes—
145C2×C13×#41C2316yes—
146C2×C13×#41C2316yes—
147C2×C13×#41C2316yes—
148C2×C13×#41C2316yes—
149C2×C13×#41C2316yes—
150C22×Q8×C13—44no—
151C22×Q8×C13C2311yescharacteristic
152C22×Q8×C13C2312yes—
153C22×Q8×C13C2312yes—
154C22×Q8×C13C2313yes—
155C22×Q8×C13C2316yes—
156C22×Q8×C13C2316yes—
157C22×D4×C13C2313yes—
158C22×D4×C13C2316yes—
159C22×D4×C13C2313yes—
160C22×D4×C13C2316yes—
161C23×C4×C13C2313yes—
162C23×C4×C13C2313yes—
163C23×C4×C13C2316yes—
164C13×C4⋊Q8C2316yes—
165C13×C4⋊Q8C2313yes—
166C13×C4⋊Q8C2313yes—
167C13×C4⋊Q8C2316yes—
168C13×C4⋊Q8C2316yes—
169C13×C4⋊Q8C2313yes—
170C13×C4⋊Q8C23112yes—
171C13×#127C2313yes—
172C13×#127C2316yes—
173C13×#127C23112yes—
174C13×#126C2316yes—
175C13×#126C2312yes—
176C13×#126C2316yes—
177C13×#126C2316yes—
178C13×#126C2316yes—
179C13×#126C2316yes—
180C13×#126C23112yes—
181C13×#126C23112yes—
182C13×#126C23112yes—
183C13×#126C23112yes—
184C13×#125C2313yes—
185C13×#125C2316yes—
186C13×#125C2316yes—
187C13×#125C2313yes—
188C13×#125C2316yes—
189C13×#125C2316yes—
190C13×#125C23112yes—
191C13×#124C2316yes—
192C13×#124C2316yes—
193C13×#124C2316yes—
194C13×#124C2316yes—
195C13×#124C2313yes—
196C13×#124C2312yes—
197C13×#124C2316yes—
198C13×#124C2316yes—
199C13×#124C2313yes—
200C13×#124C2316yes—
201C13×#124C2316yes—
202C13×#124C2316yes—
203C13×#124C23112yes—
204C13×#124C23112yes—
205C13×#124C23112yes—
206C13×#124C23112yes—
207C13×#124C23112yes—
208C13×#123C2312yes—
209C13×#123C2316yes—
210C13×#123C2316yes—
211C13×#123C2316yes—
212C13×#123C23112yes—
213C13×#123C2316yes—
214C13×#123C2316yes—
215C13×#123C23112yes—
216C13×#123C23112yes—
217C13×#123C2316yes—
218C13×#123C2316yes—
219C13×#123C2316yes—
220C13×#123C2316yes—
221C13×#123C2316yes—
222C13×#123C2316yes—
223C13×#123C23112yes—
224C13×#123C23112yes—
225C13×#123C23112yes—
226C13×#123C23112yes—
227C13×#123C23112yes—
228C13×C22⋊Q8C2316yes—
229C13×C22⋊Q8C2316yes—
230C13×C22⋊Q8C2316yes—
231C13×C22⋊Q8C2316yes—
232C13×C22⋊Q8C23112yes—
233C13×C22⋊Q8C2316yes—
234C13×C22⋊Q8C2316yes—
235C13×C22⋊Q8C23112yes—
236C13×C22⋊Q8C2316yes—
237C13×C22⋊Q8C2316yes—
238C13×C22⋊Q8C2316yes—
239C13×C22⋊Q8C2316yes—
240C13×C22⋊Q8C2316yes—
241C13×C22⋊Q8C2316yes—
242C13×C22⋊Q8C2316yes—
243C13×C22⋊Q8C2316yes—
244C13×C22⋊Q8C2316yes—
245C13×C22⋊Q8C2316yes—
246C13×C22⋊Q8C2313yes—
247C13×C22⋊Q8C2311yescharacteristic
248C13×C22⋊Q8C2316yes—
249C13×C22⋊Q8C2316yes—
250C13×C22⋊Q8C23112yes—
251C13×C22⋊Q8C23112yes—
252C13×C22⋊Q8C23112yes—
253C13×C22⋊Q8C23112yes—
254C13×#121C2316yes—
255C13×#121C2316yes—
256C13×#121C23112yes—
257C13×#121C2312yes—
258C13×#121C2316yes—
259C13×#121C2316yes—
260C13×#121C2316yes—
261C13×#121C2316yes—
262C13×#121C2316yes—
263C13×#121C2316yes—
264C13×#121C2316yes—
265C13×#121C2316yes—
266C13×#121C2316yes—
267C13×#121C2316yes—
268C13×#121C2316yes—
269C13×#121C2311yescharacteristic
270C13×#121C2313yes—
271C13×#121C2316yes—
272C13×#121C2316yes—
273C13×#121C23112yes—
274C13×#121C23112yes—
275C13×#121C23112yes—
276C13×#121C23112yes—
277C13×#121C23112yes—
278C13×#121C23112yes—
279C13×#121C23112yes—
280C13×#120C2312yes—
281C13×#120C2316yes—
282C13×#120C2316yes—
283C13×#120C2316yes—
284C13×#120C2316yes—
285C13×#120C2316yes—
286C13×#120C23112yes—
287C13×#120C23112yes—
288C13×#120C23112yes—
289C4×Q8×C13C2311yescharacteristic
290C4×Q8×C13C2311yescharacteristic
291C4×Q8×C13C2313yes—
292C4×Q8×C13C2313yes—
293C4×Q8×C13C2312yes—
294C4×Q8×C13C2312yes—
295C4×Q8×C13C2316yes—
296C4×Q8×C13C2316yes—
297C4×Q8×C13C2316yes—
298C4×Q8×C13C2316yes—
299C4×Q8×C13C23112yes—
300C4×Q8×C13C2313yes—
301C4×Q8×C13C2313yes—
302C4×Q8×C13C2316yes—
303C4×D4×C13C2312yes—
304C4×D4×C13C2316yes—
305C4×D4×C13C2316yes—
306C4×D4×C13C2316yes—
307C4×D4×C13C2316yes—
308C4×D4×C13C2316yes—
309C4×D4×C13C2316yes—
310C4×D4×C13C2316yes—
311C4×D4×C13C2316yes—
312C4×D4×C13C2316yes—
313C4×D4×C13C2316yes—
314C4×D4×C13C2316yes—
315C4×D4×C13C2316yes—
316C4×D4×C13C2316yes—
317C4×D4×C13C23112yes—
318C4×D4×C13C23112yes—
319C4×D4×C13C2316yes—
320C4×D4×C13C2316yes—
321C4×D4×C13C2313yes—
322C4×D4×C13C2316yes—
323C4×D4×C13C2313yes—
324C4×D4×C13C2316yes—
325C4×D4×C13C23112yes—
326C4×D4×C13C23112yes—
327C4×D4×C13C23112yes—
328C4×D4×C13C23112yes—
329C4×D4×C13C2316yes—
330C13×#117C2316yes—
331C13×#117C2316yes—
332C13×#117C2316yes—
333C13×#117C2316yes—
334C13×#117C2316yes—
335C13×#117C2316yes—
336C13×#117C23112yes—
337C13×#117C2316yes—
338C13×#117C23112yes—
339C2×C13×C4⋊C4C2313yes—
340C2×C13×C4⋊C4C2316yes—
341C2×C13×C4⋊C4C2313yes—
342C2×C13×C4⋊C4C2316yes—
343C2×C13×C4⋊C4C23112yes—
344C2×C13×C22⋊C4C2311yescharacteristic
345C2×C13×C22⋊C4C2313yes—
346C2×C13×C22⋊C4C2316yes—
347C2×C13×C22⋊C4C2316yes—
348C2×C13×C22⋊C4C2316yes—
349C2×C13×C22⋊C4C23112yes—
350C2×C42×C13C2313yes—
351C2×C42×C13C2316yes—
352#62897C1311yesmaximal, characteristic, direct product factor, Sylow
353C24×C13C2413yes—
354C24×C13C2411yescharacteristic
355C24×C13C2416yes—
356C13×#41—28no—
357C13×#41—28no—
358C13×#41—412no—
359C13×#41—412no—
360C13×#41—412no—
361C13×#41—412no—
362C13×#41—412no—
363C13×#41—412no—
364C13×#41—412no—
365C2×Q8×C13—24no—
366C2×Q8×C13—28no—
367C2×Q8×C13—28no—
368C2×Q8×C13—46no—
369C2×Q8×C13—412no—
370C2×Q8×C13—412no—
371C2×Q8×C13C2416yes—
372C2×Q8×C13C2413yes—
373C2×Q8×C13C2416yes—
374C2×Q8×C13C2411yescharacteristic
375C2×Q8×C13C2413yes—
376C2×Q8×C13C2416yes—
377C2×Q8×C13C2416yes—
378C2×Q8×C13C2416yes—
379C2×Q8×C13C2411yescharacteristic
380C2×D4×C13—46no—
381C2×D4×C13—412no—
382C2×D4×C13—46no—
383C2×D4×C13—412no—
384C2×D4×C13C2416yes—
385C2×D4×C13C2412yes—
386C2×D4×C13C2416yes—
387C2×D4×C13C2416yes—
388C2×D4×C13C2411yescharacteristic
389C2×D4×C13C2412yes—
390C2×D4×C13C24112yes—
391C2×D4×C13C2413yes—
392C2×D4×C13C2416yes—
393C2×D4×C13C2416yes—
394C2×D4×C13C2416yes—
395C2×D4×C13C2416yes—
396C2×D4×C13C2416yes—
397C2×D4×C13C2416yes—
398C2×D4×C13C2412yes—
399C2×D4×C13C2416yes—
400C2×D4×C13C2416yes—
401C2×D4×C13C2416yes—
402C2×D4×C13C24112yes—
403C22×C4×C13—46no—
404C22×C4×C13—46no—
405C22×C4×C13—412no—
406C22×C4×C13C2413yes—
407C22×C4×C13C2413yes—
408C22×C4×C13C2416yes—
409C22×C4×C13C2416yes—
410C22×C4×C13C2416yes—
411C22×C4×C13C2416yes—
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2416yes—
414C22×C4×C13C2416yes—
415C22×C4×C13C2413yes—
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C24112yes—
418C22×C4×C13C2416yes—
419C22×C4×C13C24112yes—
420C22×C4×C13C2416yes—
421C22×C4×C13C2416yes—
422C22×C4×C13C2416yes—
423C22×C4×C13C2412yes—
424C13×C4⋊C4C2416yes—
425C13×C4⋊C4C2412yes—
426C13×C4⋊C4C2413yes—
427C13×C4⋊C4C2416yes—
428C13×C4⋊C4C2416yes—
429C13×C4⋊C4C2416yes—
430C13×C4⋊C4C2416yes—
431C13×C4⋊C4C2413yes—
432C13×C4⋊C4C2416yes—
433C13×C4⋊C4C2416yes—
434C13×C4⋊C4C2416yes—
435C13×C4⋊C4C24112yes—
436C13×C4⋊C4C2416yes—
437C13×C4⋊C4C2416yes—
438C13×C4⋊C4C2416yes—
439C13×C4⋊C4C2412yes—
440C13×C4⋊C4C2416yes—
441C13×C4⋊C4C2416yes—
442C13×C4⋊C4C2416yes—
443C13×C4⋊C4C2416yes—
444C13×C4⋊C4C2416yes—
445C13×C4⋊C4C2416yes—
446C13×C4⋊C4C2411yescharacteristic
447C13×C4⋊C4C2416yes—
448C13×C4⋊C4C24112yes—
449C13×C4⋊C4C2416yes—
450C13×C4⋊C4C2413yes—
451C13×C4⋊C4C2413yes—
452C13×C4⋊C4C2411yescharacteristic
453C13×C22⋊C4C2412yes—
454C13×C22⋊C4C2412yes—
455C13×C22⋊C4C2416yes—
456C13×C22⋊C4C2416yes—
457C13×C22⋊C4C24112yes—
458C13×C22⋊C4C2416yes—
459C13×C22⋊C4C2416yes—
460C13×C22⋊C4C24112yes—
461C13×C22⋊C4C24112yes—
462C13×C22⋊C4C2412yes—
463C13×C22⋊C4C2412yes—
464C13×C22⋊C4C2416yes—
465C13×C22⋊C4C2416yes—
466C13×C22⋊C4C2416yes—
467C13×C22⋊C4C2416yes—
468C13×C22⋊C4C2416yes—
469C13×C22⋊C4C2416yes—
470C13×C22⋊C4C2412yes—
471C13×C22⋊C4C2416yes—
472C13×C22⋊C4C2412yes—
473C13×C22⋊C4C2416yes—
474C13×C22⋊C4C24112yes—
475C13×C22⋊C4C24112yes—
476C13×C22⋊C4C2416yes—
477C13×C22⋊C4C2416yes—
478C13×C22⋊C4C2412yes—
479C13×C22⋊C4C2416yes—
480C13×C22⋊C4C2416yes—
481C13×C22⋊C4C2416yes—
482C13×C22⋊C4C24112yes—
483C42×C13C2412yes—
484C42×C13C2416yes—
485C42×C13C2413yes—
486C42×C13C2416yes—
487C42×C13C2416yes—
488C42×C13C2413yes—
489C42×C13C2413yes—
490C42×C13C2413yes—
491C42×C13C24112yes—
492C42×C13C24112yes—
493#3562C2×C1316yescomplemented
494#3561C2×C1313yescomplemented
495#3558C2×C1313yescomplemented
496#3554C2×C1316yescomplemented
497#3542C2×C1316yescomplemented
498#3541C2×C1316yescomplemented
499#3540C2×C1316yescomplemented
500#3524C2×C1312yescomplemented
501#3523C2×C1311yescharacteristic, complemented
502#3522C2×C1311yescharacteristic, complemented
503#3520C2×C1316yescomplemented
504#3518C2×C1312yescomplemented
505#3506C2×C1313yescomplemented
506#3489C2×C1312yescomplemented
507#3487C2×C1312yescomplemented
508#3486C2×C1312yescomplemented
509D4×#41C2×C1312yescomplemented
510C2×#548C2×C1311yescharacteristic, complemented
511#3459C2×C1313yescomplemented
512C23×C13—22no—
513C23×C13—26no—
514C23×C13—41no—
515C23×C13—41no—
516C23×C13—43no—
517C23×C13—46no—
518C23×C13—46no—
519C23×C13—43no—
520C23×C13—46no—
521C23×C13C2512yes—
522C23×C13C2516yes—
523C23×C13C2512yes—
524C23×C13C2516yes—
525C23×C13C2511yescharacteristic
526Q8×C13—212no—
527Q8×C13—26no—
528Q8×C13—212no—
529Q8×C13—46no—
530Q8×C13—46no—
531Q8×C13—41no—
532Q8×C13—43no—
533Q8×C13—46no—
534Q8×C13H(5,𝔽2)14yes—
535D4×C13—24no—
536D4×C13—212no—
537D4×C13—212no—
538D4×C13—212no—
539D4×C13—46no—
540D4×C13—46no—
541D4×C13—46no—
542D4×C13—46no—
543D4×C13—412no—
544D4×C13—46no—
545D4×C13—42no—
546D4×C13—412no—
547D4×C13—46no—
548D4×C13—43no—
549D4×C13—41no—
550D4×C13—46no—
551D4×C13—42no—
552D4×C13—46no—
553D4×C13—46no—
554C2×C4×C13—26no—
555C2×C4×C13—26no—
556C2×C4×C13—212no—
557C2×C4×C13—212no—
558C2×C4×C13—212no—
559C2×C4×C13—212no—
560C2×C4×C13—41no—
561C2×C4×C13—42no—
562C2×C4×C13—46no—
563C2×C4×C13—43no—
564C2×C4×C13—46no—
565C2×C4×C13—46no—
566C2×C4×C13—46no—
567C2×C4×C13—46no—
568C2×C4×C13—41no—
569C2×C4×C13—46no—
570C2×C4×C13—412no—
571C2×C4×C13—412no—
572C2×C4×C13C2511yescharacteristic
573C2×C4×C13C2516yes—
574C2×C4×C13C2511yescharacteristic
575C2×C4×C13C2513yes—
576C2×C4×C13C2512yes—
577C2×C4×C13C2516yes—
578C2×C4×C13C2512yes—
579C2×C4×C13C2512yes—
580C2×C4×C13C2516yes—
581C2×C4×C13C2513yes—
582C2×C4×C13C2513yes—
583C2×C4×C13C2516yes—
584C2×C4×C13C2512yes—
585C2×C4×C13C2513yes—
586C2×2−1+4C22×C1312yescomplemented
587C22×#41C22×C1311yescharacteristic
588C22×#41C22×C1312yescomplemented
589C23×Q8C22×C1311yescharacteristic, complemented
590#563C22×C1316yescomplemented
591#562C22×C13112yescomplemented
592#562C22×C1316yescomplemented
593#562C22×C1316yescomplemented
594H(3,𝔽4)C22×C1316yescomplemented
595#560C22×C13112yescomplemented
596#559C22×C13112yescomplemented
597#559C22×C1313yescomplemented
598#559C22×C1316yescomplemented
599Q82C22×C1311yescharacteristic, complemented
600#557C22×C1311yescharacteristic, complemented
601#557C22×C1313yescomplemented
602#556C22×C1316yescomplemented
603#556C22×C1316yescomplemented
604#556C22×C1316yescomplemented
605#556C22×C1313yescomplemented
606#555C22×C1316yescomplemented
607#555C22×C1316yescomplemented
608#554C22×C13112yescomplemented
609#554C22×C1313yescomplemented
610#553C22×C13112yescomplemented
611#553C22×C1316yescomplemented
612#552C22×C1316yescomplemented
613#552C22×C1316yescomplemented
614#551C22×C13112yescomplemented
615#551C22×C13112yescomplemented
616#550C22×C1312yescomplemented
617#550C22×C1311yescharacteristic, complemented
618#550C22×C1316yescomplemented
619#550C22×C1316yescomplemented
620D4×Q8C22×C1312yescomplemented
621D4×Q8C22×C1312yescomplemented
622D4×Q8C22×C1316yescomplemented
623D4×Q8C22×C1316yescomplemented
624D4×Q8C22×C1311yescharacteristic, complemented
625#548C22×C1312yescomplemented
626#548C22×C1312yescomplemented
627#548C22×C1316yescomplemented
628#548C22×C1316yescomplemented
629#548C22×C1312yescomplemented
630#548C22×C1312yescomplemented
631#548C22×C1312yescomplemented
632#548C22×C1316yescomplemented
633#548C22×C1316yescomplemented
634#548C22×C1316yescomplemented
635#548C22×C1316yescomplemented
636#547C22×C1316yescomplemented
637#547C22×C1316yescomplemented
638#547C22×C1316yescomplemented
639#547C22×C1316yescomplemented
640#546C22×C1316yescomplemented
641#546C22×C1316yescomplemented
642#546C22×C1316yescomplemented
643#546C22×C1316yescomplemented
644#546C22×C13112yescomplemented
645D42C22×C1316yescomplemented
646#543C22×C1313yescomplemented
647#542C22×C1316yescomplemented
648#542C22×C1316yescomplemented
649#542C22×C13112yescomplemented
650#542C22×C1316yescomplemented
651#542C22×C1316yescomplemented
652#542C22×C13112yescomplemented
653#541C22×C1316yescomplemented
654#540C22×C1316yescomplemented
655#540C22×C13112yescomplemented
656#539C22×C1316yescomplemented
657#539C22×C1316yescomplemented
658#539C22×C1316yescomplemented
659#539C22×C13112yescomplemented
660#538C22×C1311yescharacteristic
661#538C22×C1313yescomplemented
662#538C22×C1316yescomplemented
663#538C22×C1316yescomplemented
664#538C22×C1316yescomplemented
665#538C22×C13112yescomplemented
666#538C22×C13112yescomplemented
667#537C22×C1316yescomplemented
668#536C22×C1316yescomplemented
669#536C22×C1316yescomplemented
670#536C22×C1316yescomplemented
671#535C22×C1316yescomplemented
672#535C22×C1316yescomplemented
673#535C22×C1316yescomplemented
674#534C22×C1313yes—
675#534C22×C1316yescomplemented
676#533C22×C1313yescomplemented
677#533C22×C1316yescomplemented
678#532C22×C1316yescomplemented
679#532C22×C1313yescomplemented
680#529C22×C1313yes—
681#529C22×C1316yescomplemented
682#529C22×C1313yescomplemented
683#529C22×C1316yescomplemented
684#529C22×C1316yescomplemented
685C2×#124C22×C1313yescomplemented
686#525C22×C1316yescomplemented
687#525C22×C1316yescomplemented
688#525C22×C1316yescomplemented
689#525C22×C1316yescomplemented
690#525C22×C1316yescomplemented
691#525C22×C1316yescomplemented
692#525C22×C1316yescomplemented
693C2×C22⋊Q8C22×C1313yescomplemented
694C2×C22⋊Q8C22×C1316yescomplemented
695C2×#121C22×C1313yescomplemented
696#520C22×C1312yescomplemented
697#520C22×C1316yescomplemented
698#519C22×C1312yescomplemented
699#519C22×C1312yescomplemented
700C4×#41C22×C1312yescomplemented
701C2×C4×Q8C22×C1311yescharacteristic, complemented
702C2×C4×D4C22×C1313yescomplemented
703C2×C4×D4C22×C1316yescomplemented
704C22×C13—21no—
705C22×C13—21no—
706C22×C13—22no—
707C22×C13—22no—
708C22×C13—26no—
709C22×C13—26no—
710C22×C13—26no—
711C22×C13—26no—
712C22×C13—22no—
713C22×C13—22no—
714C22×C13—26no—
715C22×C13—22no—
716C22×C13—26no—
717C22×C13—22no—
718C22×C13—44no—
719C22×C13—86no—
720C22×C13—812no—
721C22×C13#58512yes—
722C22×C13C2611yescharacteristic
723C4×C13—22no—
724C4×C13—22no—
725C4×C13—26no—
726C4×C13—23no—
727C4×C13—26no—
728C4×C13—23no—
729C4×C13—23no—
730C4×C13—22no—
731C4×C13—26no—
732C4×C13—22no—
733C4×C13—26no—
734C4×C13—21no—
735C4×C13—21no—
736C4×C13C2×H(5,𝔽2)16yes—
7372−1+4—48no—
738C2×#41—44no—
739C2×#41—48no—
740C2×#41C23×C1312yes—
741C2×#41C23×C1312yes—
742C2×#41C23×C1316yes—
743C2×#41C23×C1316yes—
744C2×#41C23×C1316yes—
745C2×#41C23×C1316yes—
746C2×#41C23×C1316yes—
747C2×#41C23×C1316yes—
748C2×#41C23×C1316yes—
749C22×Q8—44no—
750C22×Q8C23×C1311yescharacteristic
751C22×Q8C23×C1312yes—
752C22×Q8C23×C1312yes—
753C22×Q8C23×C1313yes—
754C22×Q8C23×C1316yes—
755C22×Q8C23×C1316yes—
756C22×D4C23×C1313yes—
757C22×D4C23×C1316yes—
758C22×D4C23×C1313yes—
759C22×D4C23×C1316yes—
760C23×C4C23×C1313yes—
761C23×C4C23×C1313yes—
762C23×C4C23×C1316yes—
763C4⋊Q8C23×C1316yes—
764C4⋊Q8C23×C1313yes—
765C4⋊Q8C23×C1313yes—
766C4⋊Q8C23×C1316yes—
767C4⋊Q8C23×C1316yes—
768C4⋊Q8C23×C1313yes—
769C4⋊Q8C23×C13112yes—
770#127C23×C1313yes—
771#127C23×C1316yes—
772#127C23×C13112yes—
773#126C23×C1316yes—
774#126C23×C1312yes—
775#126C23×C1316yes—
776#126C23×C1316yes—
777#126C23×C1316yes—
778#126C23×C1316yes—
779#126C23×C13112yes—
780#126C23×C13112yes—
781#126C23×C13112yes—
782#126C23×C13112yes—
783#125C23×C1313yes—
784#125C23×C1316yes—
785#125C23×C1316yes—
786#125C23×C1313yes—
787#125C23×C1316yes—
788#125C23×C1316yes—
789#125C23×C13112yes—
790#124C23×C1316yes—
791#124C23×C1316yes—
792#124C23×C1316yes—
793#124C23×C1316yes—
794#124C23×C1313yes—
795#124C23×C1312yes—
796#124C23×C1316yes—
797#124C23×C1316yes—
798#124C23×C1313yes—
799#124C23×C1316yes—
800#124C23×C1316yes—
801#124C23×C1316yes—
802#124C23×C13112yes—
803#124C23×C13112yes—
804#124C23×C13112yes—
805#124C23×C13112yes—
806#124C23×C13112yes—
807#123C23×C1312yes—
808#123C23×C1316yes—
809#123C23×C1316yes—
810#123C23×C1316yes—
811#123C23×C13112yes—
812#123C23×C1316yes—
813#123C23×C1316yes—
814#123C23×C13112yes—
815#123C23×C13112yes—
816#123C23×C1316yes—
817#123C23×C1316yes—
818#123C23×C1316yes—
819#123C23×C1316yes—
820#123C23×C1316yes—
821#123C23×C1316yes—
822#123C23×C13112yes—
823#123C23×C13112yes—
824#123C23×C13112yes—
825#123C23×C13112yes—
826#123C23×C13112yes—
827C22⋊Q8C23×C1316yes—
828C22⋊Q8C23×C1316yes—
829C22⋊Q8C23×C1316yes—
830C22⋊Q8C23×C1316yes—
831C22⋊Q8C23×C13112yes—
832C22⋊Q8C23×C1316yes—
833C22⋊Q8C23×C1316yes—
834C22⋊Q8C23×C13112yes—
835C22⋊Q8C23×C1316yes—
836C22⋊Q8C23×C1316yes—
837C22⋊Q8C23×C1316yes—
838C22⋊Q8C23×C1316yes—
839C22⋊Q8C23×C1316yes—
840C22⋊Q8C23×C1316yes—
841C22⋊Q8C23×C1316yes—
842C22⋊Q8C23×C1316yes—
843C22⋊Q8C23×C1316yes—
844C22⋊Q8C23×C1316yes—
845C22⋊Q8C23×C1313yes—
846C22⋊Q8C23×C1311yescharacteristic
847C22⋊Q8C23×C1316yes—
848C22⋊Q8C23×C1316yes—
849C22⋊Q8C23×C13112yes—
850C22⋊Q8C23×C13112yes—
851C22⋊Q8C23×C13112yes—
852C22⋊Q8C23×C13112yes—
853#121C23×C1316yes—
854#121C23×C1316yes—
855#121C23×C13112yes—
856#121C23×C1312yes—
857#121C23×C1316yes—
858#121C23×C1316yes—
859#121C23×C1316yes—
860#121C23×C1316yes—
861#121C23×C1316yes—
862#121C23×C1316yes—
863#121C23×C1316yes—
864#121C23×C1316yes—
865#121C23×C1316yes—
866#121C23×C1316yes—
867#121C23×C1316yes—
868#121C23×C1311yescharacteristic
869#121C23×C1313yes—
870#121C23×C1316yes—
871#121C23×C1316yes—
872#121C23×C13112yes—
873#121C23×C13112yes—
874#121C23×C13112yes—
875#121C23×C13112yes—
876#121C23×C13112yes—
877#121C23×C13112yes—
878#121C23×C13112yes—
879#120C23×C1312yes—
880#120C23×C1316yes—
881#120C23×C1316yes—
882#120C23×C1316yes—
883#120C23×C1316yes—
884#120C23×C1316yes—
885#120C23×C13112yes—
886#120C23×C13112yes—
887#120C23×C13112yes—
888C4×Q8C23×C1311yescharacteristic
889C4×Q8C23×C1311yescharacteristic
890C4×Q8C23×C1313yes—
891C4×Q8C23×C1313yes—
892C4×Q8C23×C1312yes—
893C4×Q8C23×C1312yes—
894C4×Q8C23×C1316yes—
895C4×Q8C23×C1316yes—
896C4×Q8C23×C1316yes—
897C4×Q8C23×C1316yes—
898C4×Q8C23×C13112yes—
899C4×Q8C23×C1313yes—
900C4×Q8C23×C1313yes—
901C4×Q8C23×C1316yes—
902C4×D4C23×C1312yes—
903C4×D4C23×C1316yes—
904C4×D4C23×C1316yes—
905C4×D4C23×C1316yes—
906C4×D4C23×C1316yes—
907C4×D4C23×C1316yes—
908C4×D4C23×C1316yes—
909C4×D4C23×C1316yes—
910C4×D4C23×C1316yes—
911C4×D4C23×C1316yes—
912C4×D4C23×C1316yes—
913C4×D4C23×C1316yes—
914C4×D4C23×C1316yes—
915C4×D4C23×C1316yes—
916C4×D4C23×C13112yes—
917C4×D4C23×C13112yes—
918C4×D4C23×C1316yes—
919C4×D4C23×C1316yes—
920C4×D4C23×C1313yes—
921C4×D4C23×C1316yes—
922C4×D4C23×C1313yes—
923C4×D4C23×C1316yes—
924C4×D4C23×C13112yes—
925C4×D4C23×C13112yes—
926C4×D4C23×C13112yes—
927C4×D4C23×C13112yes—
928C4×D4C23×C1316yes—
929#117C23×C1316yes—
930#117C23×C1316yes—
931#117C23×C1316yes—
932#117C23×C1316yes—
933#117C23×C1316yes—
934#117C23×C1316yes—
935#117C23×C13112yes—
936#117C23×C1316yes—
937#117C23×C13112yes—
938C2×C4⋊C4C23×C1313yes—
939C2×C4⋊C4C23×C1316yes—
940C2×C4⋊C4C23×C1313yes—
941C2×C4⋊C4C23×C1316yes—
942C2×C4⋊C4C23×C13112yes—
943C2×C22⋊C4C23×C1311yescharacteristic
944C2×C22⋊C4C23×C1313yes—
945C2×C22⋊C4C23×C1316yes—
946C2×C22⋊C4C23×C1316yes—
947C2×C22⋊C4C23×C1316yes—
948C2×C22⋊C4C23×C13112yes—
949C2×C42C23×C1313yes—
950C2×C42C23×C1316yes—
951C2×C13—22no—
952C2×C13—42no—
953C2×C13—46no—
954C2×C13—46no—
955C2×C13—42no—
956C2×C13C22×H(5,𝔽2)11yescharacteristic
957C2×C13C2×#58511yescharacteristic
958C2×C132−1+611yescharacteristic
959C24C24×C1313yes—
960C24C24×C1311yescharacteristic
961C24C24×C1316yes—
962#41—28no—
963#41—28no—
964#41—412no—
965#41—412no—
966#41—412no—
967#41—412no—
968#41—412no—
969#41—412no—
970#41—412no—
971C2×Q8—24no—
972C2×Q8—28no—
973C2×Q8—28no—
974C2×Q8—46no—
975C2×Q8—412no—
976C2×Q8—412no—
977C2×Q8C24×C1316yes—
978C2×Q8C24×C1313yes—
979C2×Q8C24×C1316yes—
980C2×Q8C24×C1311yescharacteristic
981C2×Q8C24×C1313yes—
982C2×Q8C24×C1316yes—
983C2×Q8C24×C1316yes—
984C2×Q8C24×C1316yes—
985C2×Q8C24×C1311yescharacteristic
986C2×D4—46no—
987C2×D4—412no—
988C2×D4—46no—
989C2×D4—412no—
990C2×D4C24×C1316yes—
991C2×D4C24×C1312yes—
992C2×D4C24×C1316yes—
993C2×D4C24×C1316yes—
994C2×D4C24×C1311yescharacteristic
995C2×D4C24×C1312yes—
996C2×D4C24×C13112yes—
997C2×D4C24×C1313yes—
998C2×D4C24×C1316yes—
999C2×D4C24×C1316yes—
1000C2×D4C24×C1316yes—
1001C2×D4C24×C1316yes—
1002C2×D4C24×C1316yes—
1003C2×D4C24×C1316yes—
1004C2×D4C24×C1312yes—
1005C2×D4C24×C1316yes—
1006C2×D4C24×C1316yes—
1007C2×D4C24×C1316yes—
1008C2×D4C24×C13112yes—
1009C22×C4—46no—
1010C22×C4—46no—
1011C22×C4—412no—
1012C22×C4C24×C1313yes—
1013C22×C4C24×C1313yes—
1014C22×C4C24×C1316yes—
1015C22×C4C24×C1316yes—
1016C22×C4C24×C1316yes—
1017C22×C4C24×C1316yes—
1018C22×C4C24×C1311yescharacteristic
1019C22×C4C24×C1316yes—
1020C22×C4C24×C1316yes—
1021C22×C4C24×C1313yes—
1022C22×C4C24×C1311yescharacteristic
1023C22×C4C24×C13112yes—
1024C22×C4C24×C1316yes—
1025C22×C4C24×C13112yes—
1026C22×C4C24×C1316yes—
1027C22×C4C24×C1316yes—
1028C22×C4C24×C1316yes—
1029C22×C4C24×C1312yes—
1030C4⋊C4C24×C1316yes—
1031C4⋊C4C24×C1312yes—
1032C4⋊C4C24×C1313yes—
1033C4⋊C4C24×C1316yes—
1034C4⋊C4C24×C1316yes—
1035C4⋊C4C24×C1316yes—
1036C4⋊C4C24×C1316yes—
1037C4⋊C4C24×C1313yes—
1038C4⋊C4C24×C1316yes—
1039C4⋊C4C24×C1316yes—
1040C4⋊C4C24×C1316yes—
1041C4⋊C4C24×C13112yes—
1042C4⋊C4C24×C1316yes—
1043C4⋊C4C24×C1316yes—
1044C4⋊C4C24×C1316yes—
1045C4⋊C4C24×C1312yes—
1046C4⋊C4C24×C1316yes—
1047C4⋊C4C24×C1316yes—
1048C4⋊C4C24×C1316yes—
1049C4⋊C4C24×C1316yes—
1050C4⋊C4C24×C1316yes—
1051C4⋊C4C24×C1316yes—
1052C4⋊C4C24×C1311yescharacteristic
1053C4⋊C4C24×C1316yes—
1054C4⋊C4C24×C13112yes—
1055C4⋊C4C24×C1316yes—
1056C4⋊C4C24×C1313yes—
1057C4⋊C4C24×C1313yes—
1058C4⋊C4C24×C1311yescharacteristic
1059C22⋊C4C24×C1312yes—
1060C22⋊C4C24×C1312yes—
1061C22⋊C4C24×C1316yes—
1062C22⋊C4C24×C1316yes—
1063C22⋊C4C24×C13112yes—
1064C22⋊C4C24×C1316yes—
1065C22⋊C4C24×C1316yes—
1066C22⋊C4C24×C13112yes—
1067C22⋊C4C24×C13112yes—
1068C22⋊C4C24×C1312yes—
1069C22⋊C4C24×C1312yes—
1070C22⋊C4C24×C1316yes—
1071C22⋊C4C24×C1316yes—
1072C22⋊C4C24×C1316yes—
1073C22⋊C4C24×C1316yes—
1074C22⋊C4C24×C1316yes—
1075C22⋊C4C24×C1316yes—
1076C22⋊C4C24×C1312yes—
1077C22⋊C4C24×C1316yes—
1078C22⋊C4C24×C1312yes—
1079C22⋊C4C24×C1316yes—
1080C22⋊C4C24×C13112yes—
1081C22⋊C4C24×C13112yes—
1082C22⋊C4C24×C1316yes—
1083C22⋊C4C24×C1316yes—
1084C22⋊C4C24×C1312yes—
1085C22⋊C4C24×C1316yes—
1086C22⋊C4C24×C1316yes—
1087C22⋊C4C24×C1316yes—
1088C22⋊C4C24×C13112yes—
1089C42C24×C1312yes—
1090C42C24×C1316yes—
1091C42C24×C1313yes—
1092C42C24×C1316yes—
1093C42C24×C1316yes—
1094C42C24×C1313yes—
1095C42C24×C1313yes—
1096C42C24×C1313yes—
1097C42C24×C13112yes—
1098C42C24×C13112yes—
1099C13#6289711yescharacteristic, direct product factor, Sylow
1100C23—22no—
1101C23—26no—
1102C23—41no—
1103C23—41no—
1104C23—43no—
1105C23—46no—
1106C23—46no—
1107C23—43no—
1108C23—46no—
1109C23C25×C1312yes—
1110C23C25×C1316yes—
1111C23C25×C1312yes—
1112C23C25×C1316yes—
1113C23C25×C1311yescharacteristic
1114Q8—212no—
1115Q8—26no—
1116Q8—212no—
1117Q8—46no—
1118Q8—46no—
1119Q8—46no—
1120Q8—41no—
1121Q8—43no—
1122Q8C13×H(5,𝔽2)14yes—
1123D4—24no—
1124D4—212no—
1125D4—212no—
1126D4—212no—
1127D4—46no—
1128D4—46no—
1129D4—46no—
1130D4—46no—
1131D4—412no—
1132D4—46no—
1133D4—42no—
1134D4—412no—
1135D4—46no—
1136D4—43no—
1137D4—41no—
1138D4—46no—
1139D4—42no—
1140D4—46no—
1141D4—46no—
1142C2×C4—26no—
1143C2×C4—26no—
1144C2×C4—212no—
1145C2×C4—212no—
1146C2×C4—212no—
1147C2×C4—212no—
1148C2×C4—41no—
1149C2×C4—42no—
1150C2×C4—46no—
1151C2×C4—43no—
1152C2×C4—46no—
1153C2×C4—46no—
1154C2×C4—46no—
1155C2×C4—46no—
1156C2×C4—46no—
1157C2×C4—41no—
1158C2×C4—412no—
1159C2×C4—412no—
1160C2×C4C25×C1311yescharacteristic
1161C2×C4C25×C1316yes—
1162C2×C4C25×C1311yescharacteristic
1163C2×C4C25×C1313yes—
1164C2×C4C25×C1312yes—
1165C2×C4C25×C1316yes—
1166C2×C4C25×C1312yes—
1167C2×C4C25×C1312yes—
1168C2×C4C25×C1316yes—
1169C2×C4C25×C1313yes—
1170C2×C4C25×C1313yes—
1171C2×C4C25×C1316yes—
1172C2×C4C25×C1312yes—
1173C2×C4C25×C1313yes—
1174C22—21no—
1175C22—21no—
1176C22—22no—
1177C22—22no—
1178C22—26no—
1179C22—26no—
1180C22—26no—
1181C22—26no—
1182C22—22no—
1183C22—22no—
1184C22—26no—
1185C22—22no—
1186C22—26no—
1187C22—22no—
1188C22—44no—
1189C22—86no—
1190C22—812no—
1191C22C13×#58512yes—
1192C22C26×C1311yescharacteristic
1193C4—22no—
1194C4—22no—
1195C4—26no—
1196C4—23no—
1197C4—26no—
1198C4—23no—
1199C4—23no—
1200C4—22no—
1201C4—26no—
1202C4—22no—
1203C4—26no—
1204C4—21no—
1205C4—21no—
1206C4C2×C13×H(5,𝔽2)16yes—
1207C2—22no—
1208C2—42no—
1209C2—42no—
1210C2—46no—
1211C2—46no—
1212C2C22×C13×H(5,𝔽2)11yescharacteristic
1213C2C2×C13×#58511yescharacteristic
1214C2C13×2−1+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×#3562C2semidirect
2. C13×#3561C2semidirect
3. C13×#3558C2semidirect
4. C13×#3554C2semidirect
5. C13×#3542C2semidirect
6. C13×#3541C2semidirect
7. C13×#3540C2semidirect
8. C13×#3524C2semidirect
9. C13×#3523C2semidirect
10. C13×#3522C2semidirect
11. C13×#3520C2semidirect
12. C13×#3518C2semidirect
13. C13×#3506C2semidirect
14. C13×#3489C2semidirect
15. C13×#3487C2semidirect
16. C13×#3486C2semidirect
17. D4×C13×#41C2semidirect
18. C2×C13×#548C2semidirect
19. C13×#3459C2semidirect
20. C2×C13×2−1+4C22semidirect
22. C22×C13×#41C22semidirect
23. C23×Q8×C13C22semidirect
24. C13×#563C22semidirect
25. C13×#562C22semidirect
26. C13×#562C22semidirect
27. C13×#562C22semidirect
28. C13×H(3,𝔽4)C22semidirect
29. C13×#560C22semidirect
30. C13×#559C22semidirect
31. C13×#559C22semidirect
32. C13×#559C22semidirect
33. Q82×C13C22semidirect
34. C13×#557C22semidirect
35. C13×#557C22semidirect
36. C13×#556C22semidirect
37. C13×#556C22semidirect
38. C13×#556C22semidirect
39. C13×#556C22semidirect
40. C13×#555C22semidirect
41. C13×#555C22semidirect
42. C13×#554C22semidirect
43. C13×#554C22semidirect
44. C13×#553C22semidirect
45. C13×#553C22semidirect
46. C13×#552C22semidirect
47. C13×#552C22semidirect
48. C13×#551C22semidirect
49. C13×#551C22semidirect
50. C13×#550C22semidirect
51. C13×#550C22semidirect
52. C13×#550C22semidirect
53. C13×#550C22semidirect
54. D4×Q8×C13C22semidirect
55. D4×Q8×C13C22semidirect
56. D4×Q8×C13C22semidirect
57. D4×Q8×C13C22semidirect
58. D4×Q8×C13C22semidirect
59. C13×#548C22semidirect
60. C13×#548C22semidirect
61. C13×#548C22semidirect
62. C13×#548C22semidirect
63. C13×#548C22semidirect
64. C13×#548C22semidirect
65. C13×#548C22semidirect
66. C13×#548C22semidirect
67. C13×#548C22semidirect
68. C13×#548C22semidirect
69. C13×#548C22semidirect
70. C13×#547C22semidirect
71. C13×#547C22semidirect
72. C13×#547C22semidirect
73. C13×#547C22semidirect
74. C13×#546C22semidirect
75. C13×#546C22semidirect
76. C13×#546C22semidirect
77. C13×#546C22semidirect
78. C13×#546C22semidirect
79. D42×C13C22semidirect
80. C13×#543C22semidirect
81. C13×#542C22semidirect
82. C13×#542C22semidirect
83. C13×#542C22semidirect
84. C13×#542C22semidirect
85. C13×#542C22semidirect
86. C13×#542C22semidirect
87. C13×#541C22semidirect
88. C13×#540C22semidirect
89. C13×#540C22semidirect
90. C13×#539C22semidirect
91. C13×#539C22semidirect
92. C13×#539C22semidirect
93. C13×#539C22semidirect
95. C13×#538C22semidirect
96. C13×#538C22semidirect
97. C13×#538C22semidirect
98. C13×#538C22semidirect
99. C13×#538C22semidirect
100. C13×#538C22semidirect
101. C13×#537C22semidirect
102. C13×#536C22semidirect
103. C13×#536C22semidirect
104. C13×#536C22semidirect
105. C13×#535C22semidirect
106. C13×#535C22semidirect
107. C13×#535C22semidirect
109. C13×#534C22semidirect
110. C13×#533C22semidirect
111. C13×#533C22semidirect
112. C13×#532C22semidirect
113. C13×#532C22semidirect
115. C13×#529C22semidirect
116. C13×#529C22semidirect
117. C13×#529C22semidirect
118. C13×#529C22semidirect
119. C2×C13×#124C22semidirect
120. C13×#525C22semidirect
121. C13×#525C22semidirect
122. C13×#525C22semidirect
123. C13×#525C22semidirect
124. C13×#525C22semidirect
125. C13×#525C22semidirect
126. C13×#525C22semidirect
127. C2×C13×C22⋊Q8C22semidirect
128. C2×C13×C22⋊Q8C22semidirect
129. C2×C13×#121C22semidirect
130. C13×#520C22semidirect
131. C13×#520C22semidirect
132. C13×#519C22semidirect
133. C13×#519C22semidirect
134. C4×C13×#41C22semidirect
135. C2×C4×Q8×C13C22semidirect
136. C2×C4×D4×C13C22semidirect
137. C2×C4×D4×C13C22semidirect
352. #62897C13direct (N × H)
493. #3562C2×C13semidirect
494. #3561C2×C13semidirect
495. #3558C2×C13semidirect
496. #3554C2×C13semidirect
497. #3542C2×C13semidirect
498. #3541C2×C13semidirect
499. #3540C2×C13semidirect
500. #3524C2×C13semidirect
501. #3523C2×C13semidirect
502. #3522C2×C13semidirect
503. #3520C2×C13semidirect
504. #3518C2×C13semidirect
505. #3506C2×C13semidirect
506. #3489C2×C13semidirect
507. #3487C2×C13semidirect
508. #3486C2×C13semidirect
509. D4×#41C2×C13semidirect
510. C2×#548C2×C13semidirect
511. #3459C2×C13semidirect
586. C2×2−1+4C22×C13semidirect
588. C22×#41C22×C13semidirect
589. C23×Q8C22×C13semidirect
590. #563C22×C13semidirect
591. #562C22×C13semidirect
592. #562C22×C13semidirect
593. #562C22×C13semidirect
594. H(3,𝔽4)C22×C13semidirect
595. #560C22×C13semidirect
596. #559C22×C13semidirect
597. #559C22×C13semidirect
598. #559C22×C13semidirect
599. Q82C22×C13semidirect
600. #557C22×C13semidirect
601. #557C22×C13semidirect
602. #556C22×C13semidirect
603. #556C22×C13semidirect
604. #556C22×C13semidirect
605. #556C22×C13semidirect
606. #555C22×C13semidirect
607. #555C22×C13semidirect
608. #554C22×C13semidirect
609. #554C22×C13semidirect
610. #553C22×C13semidirect
611. #553C22×C13semidirect
612. #552C22×C13semidirect
613. #552C22×C13semidirect
614. #551C22×C13semidirect
615. #551C22×C13semidirect
616. #550C22×C13semidirect
617. #550C22×C13semidirect
618. #550C22×C13semidirect
619. #550C22×C13semidirect
620. D4×Q8C22×C13semidirect
621. D4×Q8C22×C13semidirect
622. D4×Q8C22×C13semidirect
623. D4×Q8C22×C13semidirect
624. D4×Q8C22×C13semidirect
625. #548C22×C13semidirect
626. #548C22×C13semidirect
627. #548C22×C13semidirect
628. #548C22×C13semidirect
629. #548C22×C13semidirect
630. #548C22×C13semidirect
631. #548C22×C13semidirect
632. #548C22×C13semidirect
633. #548C22×C13semidirect
634. #548C22×C13semidirect
635. #548C22×C13semidirect
636. #547C22×C13semidirect
637. #547C22×C13semidirect
638. #547C22×C13semidirect
639. #547C22×C13semidirect
640. #546C22×C13semidirect
641. #546C22×C13semidirect
642. #546C22×C13semidirect
643. #546C22×C13semidirect
644. #546C22×C13semidirect
645. D42C22×C13semidirect
646. #543C22×C13semidirect
647. #542C22×C13semidirect
648. #542C22×C13semidirect
649. #542C22×C13semidirect
650. #542C22×C13semidirect
651. #542C22×C13semidirect
652. #542C22×C13semidirect
653. #541C22×C13semidirect
654. #540C22×C13semidirect
655. #540C22×C13semidirect
656. #539C22×C13semidirect
657. #539C22×C13semidirect
658. #539C22×C13semidirect
659. #539C22×C13semidirect
661. #538C22×C13semidirect
662. #538C22×C13semidirect
663. #538C22×C13semidirect
664. #538C22×C13semidirect
665. #538C22×C13semidirect
666. #538C22×C13semidirect
667. #537C22×C13semidirect
668. #536C22×C13semidirect
669. #536C22×C13semidirect
670. #536C22×C13semidirect
671. #535C22×C13semidirect
672. #535C22×C13semidirect
673. #535C22×C13semidirect
675. #534C22×C13semidirect
676. #533C22×C13semidirect
677. #533C22×C13semidirect
678. #532C22×C13semidirect
679. #532C22×C13semidirect
681. #529C22×C13semidirect
682. #529C22×C13semidirect
683. #529C22×C13semidirect
684. #529C22×C13semidirect
685. C2×#124C22×C13semidirect
686. #525C22×C13semidirect
687. #525C22×C13semidirect
688. #525C22×C13semidirect
689. #525C22×C13semidirect
690. #525C22×C13semidirect
691. #525C22×C13semidirect
692. #525C22×C13semidirect
693. C2×C22⋊Q8C22×C13semidirect
694. C2×C22⋊Q8C22×C13semidirect
695. C2×#121C22×C13semidirect
696. #520C22×C13semidirect
697. #520C22×C13semidirect
698. #519C22×C13semidirect
699. #519C22×C13semidirect
700. C4×#41C22×C13semidirect
701. C2×C4×Q8C22×C13semidirect
702. C2×C4×D4C22×C13semidirect
703. C2×C4×D4C22×C13semidirect
1099. C13#62897direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#35622
C13×#35612
C13×#35582
C13×#35542
C13×#35422
C13×#35412
C13×#35402
C13×#35242
C13×#35232
C13×#35222
C13×#35202
C13×#35182
C13×#35062
C13×#34892
C13×#34872
C13×#34862
D4×C13×#412
C2×C13×#5482
C13×#34592
#6289713