Finite Group Databasebeta

← #16035568

Subgroups — #16035568

Order 3328.

2834 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719220C211yesmaximal, characteristic, complemented
2#13123128C212yesmaximal, complemented
3#13123123C211yesmaximal, characteristic, complemented
4#13123118C211yesmaximal, characteristic
5#13120649C211yesmaximal, characteristic, complemented
6#13120616C212yesmaximal, complemented
7#13120578C211yesmaximal, characteristic, complemented
8#13119091C214yesmaximal, complemented
9#13118971C214yesmaximal, complemented
10#13118645C214yesmaximal, complemented
11#13118571C214yesmaximal, complemented
12#13117505C212yesmaximal, complemented
13#13117439C211yesmaximal, characteristic, complemented
14C4×#88207C212yesmaximal, complemented
15C23×C13×C4⋊C4C211yesmaximal, characteristic, complemented
16C24×C4×C13C2211yescharacteristic
17C24×C4×C13C2211yescharacteristic
18C24×C4×C13C2211yescharacteristic
19C22×C13×C4⋊C4—28no—
20C22×C13×C4⋊C4C2211yescharacteristic
21C22×C13×C4⋊C4C2211yescharacteristic
22C22×C13×C4⋊C4C2211yescharacteristic
23C22×C13×C4⋊C4C2214yes—
24C22×C13×C4⋊C4C2214yes—
25C22×C13×C4⋊C4C2211yescharacteristic
26C2×#88207C2212yes—
27C2×#88184C2211yescharacteristic
28C2×#88184C2212yes—
29C2×#88183C2212yes—
30C2×#88183C2212yes—
31C2×C4×C22⋊D13C2212yes—
32C2×C4×C22⋊D13C2214yes—
33C2×#88178C2211yescharacteristic
34C2×#88178C2212yes—
35#11719220—28no—
36C2×#88152C2212yescomplemented
37C2×#88150C2212yescomplemented
38C2×#88148C2212yescomplemented
39C2×#88143C2212yescomplemented
40#11718908C2212yes—
41#11718874C2212yes—
42#11718874C2214yes—
43#11718874C2214yes—
44#11718874C2214yes—
45#11718874C2212yes—
46#11718874C2214yes—
47#11718873C2211yescharacteristic
48#11718873C2212yes—
49#11718873C2211yescharacteristic
50#11718873C2212yes—
51#11718872C2212yes—
52#11718872C2212yes—
53#11718871C2212yes—
54#11718871C2214yes—
55#11718871C2214yes—
56#11718871C2214yes—
57#11718871C2212yes—
58#11718871C2214yes—
59C4×C22⋊Dic13C2212yes—
60C4×C22⋊Dic13C2214yes—
61#11718655C2214yescomplemented
62#11718654C2214yescomplemented
63#11718653C2214yescomplemented
64#11718652C2212yescomplemented
65#11718651C2214yescomplemented
66#11718650C2214yescomplemented
67#11718647C2212yescomplemented
68#11718645C2214yescomplemented
69#11718644C2212yescomplemented
70#11718643C2214yescomplemented
71#11718642C2214yescomplemented
72#11718642C2214yescomplemented
73#11718641C2214yescomplemented
74#11718640C2212yescomplemented
75#11718639C2214yescomplemented
76#11718633C2214yescomplemented
77C25×C13C2311yescharacteristic
78C23×C4×C13—24no—
79C23×C4×C13—24no—
80C23×C4×C13—24no—
81C23×C4×C13—24no—
82C23×C4×C13—24no—
83C23×C4×C13—44no—
84C23×C4×C13—44no—
85C23×C4×C13C2314yes—
86C23×C4×C13C2312yes—
87C23×C4×C13C2314yes—
88C23×C4×C13C2312yes—
89C23×C4×C13C2311yescharacteristic
90C23×C4×C13C2311yescharacteristic
91C23×C4×C13C2311yescharacteristic
92C23×C4×C13C2311yescharacteristic
93C23×C4×C13C2311yescharacteristic
94C23×C4×C13C2311yescharacteristic
95C22×C22⋊D13C2312yes—
96C22×C22⋊D13C2314yes—
97C22×D52C2311yescharacteristic
98C22×C4×D13C2312yes—
99C22×Dic26C2311yescharacteristic
100C2×C13×C4⋊C4—24no—
101C2×C13×C4⋊C4—24no—
102C2×C13×C4⋊C4—24no—
103C2×C13×C4⋊C4—216no—
104C2×C13×C4⋊C4—216no—
105C2×C13×C4⋊C4D418yescomplemented
106C2×C13×C4⋊C4C2314yes—
107C2×C13×C4⋊C4C2312yes—
108C2×C13×C4⋊C4C2314yes—
109C2×C13×C4⋊C4C2312yes—
110C2×C13×C4⋊C4C2312yes—
111C2×C13×C4⋊C4C2312yes—
112#88207—28no—
113C2×C22⋊Dic13C2312yes—
114C2×C22⋊Dic13C2314yes—
115C2×C22⋊Dic13C2312yes—
116C2×C22⋊Dic13C2314yes—
117C2×C22⋊Dic13C2312yes—
118C2×C22⋊Dic13C2314yes—
119#88184—24no—
120#88184—44no—
121#88183—28no—
122#88183—28no—
123C4×C22⋊D13—28no—
124C4×C22⋊D13—48no—
125C2×#6103C2312yes—
126C2×#6103C2312yes—
127C2×#6103C2312yes—
128C2×#6103C2312yes—
129C2×#6103C2314yes—
130C2×#6103C2314yes—
131C2×#6103C2314yes—
132C2×C4⋊Dic13C2311yescharacteristic
133C2×C4⋊Dic13C2311yescharacteristic
134C2×C4⋊Dic13C2312yes—
135C2×C4⋊Dic13C2312yes—
136#88178—24no—
137#88178—44no—
138C2×#6101C2312yes—
139C2×#6101C2312yes—
140C2×#6101C2312yes—
141C2×#6101C2312yes—
142C2×#6101C2314yes—
143C2×#6101C2314yes—
144C2×#6101C2314yes—
145C2×C4×Dic13C2312yes—
146C2×C4×Dic13C2314yes—
147#88152—28no—
148#88150—28no—
149#88148—28no—
150#88143—28no—
151#88071C2314yes—
152#88071C2314yes—
153#88071C2314yes—
154#88071C2314yes—
155#88071C2312yes—
156#88071C2314yes—
157#88071C2314yes—
158#88071C2314yes—
159#88071C2314yes—
160#88071C2314yes—
161#88071C2312yes—
162#34989—131nomaximal, Sylow
163C24×C13—22no—
164C24×C13—22no—
165C24×C13—24no—
166C24×C13—24no—
167C24×C13#4114yes—
168C24×C13C2411yescharacteristic
169C24×C13C2412yes—
170C23×D13C2412yes—
171C22×C4×C13—232no—
172C22×C4×C13—22no—
173C22×C4×C13—28no—
174C22×C4×C13—22no—
175C22×C4×C13—22no—
176C22×C4×C13—22no—
177C22×C4×C13—28no—
178C22×C4×C13—28no—
179C22×C4×C13—22no—
180C22×C4×C13—22no—
181C22×C4×C13—24no—
182C22×C4×C13—28no—
183C22×C4×C13—24no—
184C22×C4×C13—28no—
185C22×C4×C13—24no—
186C22×C4×C13—24no—
187C22×C4×C13—42no—
188C22×C4×C13—44no—
189C22×C4×C13—42no—
190C22×C4×C13—42no—
191C22×C4×C13—42no—
192C22×C4×C13—42no—
193C22×C4×C13—42no—
194C22×C4×C13—416no—
195C22×C4×C13—416no—
196C22×C4×C13C2×D414yes—
197C22×C4×C13C2×D414yes—
198C22×C4×C13C2×D414yes—
199C22×C4×C13#4114yes—
200C22×C4×C13C2412yes—
201C22×C4×C13C2412yes—
202C22×C4×C13C2412yes—
203C22×C4×C13C2412yes—
204C22×C4×C13C2411yescharacteristic
205C22×C4×C13C2411yescharacteristic
206C22×C4×C13C2412yes—
207C2×C22⋊D13—24no—
208C2×C22⋊D13—24no—
209C2×C22⋊D13—24no—
210C2×C22⋊D13—28no—
211C2×C22⋊D13—28no—
212C2×C22⋊D13—28no—
213C22×Dic13C2414yes—
214C22×Dic13C2412yes—
215C22×Dic13C2414yes—
216C22×Dic13C2412yes—
217C22×Dic13C2412yes—
218C2×D52—22no—
219C2×D52—42no—
220C2×C4×D13—24no—
221C2×C4×D13—44no—
222C2×Dic26—22no—
223C2×Dic26—42no—
224C13×C4⋊C4—28no—
225C13×C4⋊C4—24no—
226C13×C4⋊C4—24no—
227C13×C4⋊C4—28no—
228C13×C4⋊C4C2×D418yes—
229C13×C4⋊C4C2×D418yes—
230C22⋊Dic13—24no—
231C22⋊Dic13—24no—
232C22⋊Dic13—24no—
233C22⋊Dic13—28no—
234C22⋊Dic13—28no—
235C22⋊Dic13—28no—
236#6103—24no—
237#6103—24no—
238#6103—24no—
239#6103—24no—
240#6103—28no—
241#6103—44no—
242#6103—44no—
243C4⋊Dic13—22no—
244C4⋊Dic13—22no—
245C4⋊Dic13—42no—
246C4⋊Dic13—42no—
247#6101—24no—
248#6101—24no—
249#6101—24no—
250#6101—24no—
251#6101—28no—
252#6101—44no—
253#6101—44no—
254C4×Dic13—24no—
255C4×Dic13—44no—
256C2×#539—131no—
257C23×C4⋊C4D1311yescharacteristic, complemented
258#2849—132no—
259#2848—131no—
260#2847—131no—
261#2627—131no—
262#2623—132no—
263#2618—131no—
264#2481—134no—
265#2473—134no—
266#2449—134no—
267#2443—134no—
268#2322—132no—
269#2313—131no—
270C4×#120—132no—
271C23×C13—28no—
272C23×C13—28no—
273C23×C13—216no—
274C23×C13—28no—
275C23×C13—216no—
276C23×C13—22no—
277C23×C13—22no—
278C23×C13—22no—
279C23×C13—22no—
280C23×C13—22no—
281C23×C13—22no—
282C23×C13C22×D412yes—
283C23×C13C2×#4112yes—
284C23×C13C2×#4112yes—
285C23×C13C2×#4114yes—
286C23×C13H(5,𝔽2)14yes—
287C23×C132−1+414yes—
288C23×C13C2511yescharacteristic
289C22×D13—22no—
290C22×D13—22no—
291C22×D13—22no—
292C22×D13—24no—
293C22×D13—24no—
294C2×C4×C13—232no—
295C2×C4×C13—28no—
296C2×C4×C13—28no—
297C2×C4×C13—22no—
298C2×C4×C13—22no—
299C2×C4×C13—22no—
300C2×C4×C13—22no—
301C2×C4×C13—24no—
302C2×C4×C13—22no—
303C2×C4×C13—22no—
304C2×C4×C13—22no—
305C2×C4×C13—22no—
306C2×C4×C13—22no—
307C2×C4×C13—24no—
308C2×C4×C13—22no—
309C2×C4×C13—44no—
310C2×C4×C13—44no—
311C2×C4×C13—48no—
312C2×C4×C13—416no—
313C2×C4×C13—48no—
314C2×C4×C13—44no—
315C2×C4×C13—44no—
316C2×C4×C13C22×D414yes—
317C2×C4×C13C22×D412yes—
318C2×C4×C13C22×D414yes—
319C2×C4×C13C22×D412yes—
320C2×C4×C13C2×#4114yes—
321C22⋊D13—48no—
322C22⋊D13—416no—
323C2×Dic13—22no—
324C2×Dic13—22no—
325C2×Dic13—22no—
326C2×Dic13—22no—
327C2×Dic13—24no—
328C2×Dic13—22no—
329C2×Dic13—24no—
330C2×Dic13—24no—
331C2×Dic13—24no—
332C2×Dic13—24no—
333C2×Dic13—24no—
334C2×Dic13—24no—
335C2×Dic13—24no—
336D52—82no—
337C4×D13—84no—
338Dic26—82no—
339C24×C4C2×D1311yescharacteristic
340C24×C4C2×D1311yescharacteristic
341C24×C4C2×D1311yescharacteristic
342#539—268no—
343C2×#126—132no—
344C2×#125—132no—
345C2×#123—132no—
346C2×#123—132no—
347C2×#123—132no—
348C2×C22⋊Q8—131no—
349C2×C22⋊Q8—132no—
350C2×C22⋊Q8—132no—
351C2×#121—131no—
352C2×#121—132no—
353C2×#120—132no—
354C2×C4×D4—132no—
355C2×C4×D4—134no—
356C22×C4⋊C4—28no—
357C22×C4⋊C4C2×D1311yescharacteristic
358C22×C4⋊C4C2×D1311yescharacteristic
359C22×C4⋊C4C2×D1311yescharacteristic
360C22×C4⋊C4C2×D1314yes—
361C22×C4⋊C4C2×D1314yes—
362C22×C4⋊C4C2×D1311yescharacteristic
363#400—134no—
364#400—132no—
365#399—134no—
366#398—132no—
367#398—134no—
368#398—134no—
369#397—134no—
370#396—134no—
371#395—132no—
372#394—132no—
373#389—134no—
374#388—134no—
375#387—134no—
376#387—134no—
377#387—134no—
378#386—132no—
379#386—134no—
380#386—134no—
381#386—134no—
382#386—132no—
383#386—134no—
384#385—132no—
385#385—134no—
386#385—134no—
387#385—134no—
388#385—132no—
389#385—134no—
390#385—134no—
391#381—132no—
392#381—132no—
393#380—131no—
394#380—131no—
395#380—132no—
396#380—132no—
397#379—132no—
398C4×C22⋊C4—132no—
399C4×C22⋊C4—134no—
400C22×C13—232no—
401C22×C13—24no—
402C22×C13—24no—
403C22×C13—24no—
404C22×C13—22no—
405C22×C13—24no—
406C22×C13—22no—
407C22×C13—24no—
408C22×C13—24no—
409C22×C13—24no—
410C22×C13—24no—
411C22×C13#52514yes—
412C22×C13#53918yescomplemented
413C22×C13C23×D411yescharacteristic
414C22×C13C22×#4111yescharacteristic
415C22×C13C22×#4111yescharacteristic
416C22×C13C2×H(5,𝔽2)12yes—
417C22×C13C2×2−1+412yes—
418C2×D13—42no—
419C2×D13—44no—
420C2×D13—42no—
421C2×D13—42no—
422C2×D13—44no—
423C4×C13—24no—
424C4×C13—24no—
425C4×C13—22no—
426C4×C13—24no—
427C4×C13—22no—
428C4×C13—42no—
429C4×C13—42no—
430Dic13—42no—
431Dic13—44no—
432Dic13—42no—
433Dic13—42no—
434Dic13—44no—
435C25C22×D1311yescharacteristic
436C22×Q8—131no—
437C22×D4—132no—
438C22×D4—134no—
439C22×D4—131no—
440C23×C4—24no—
441C23×C4—24no—
442C23×C4—24no—
443C23×C4—24no—
444C23×C4—24no—
445C23×C4—44no—
446C23×C4—44no—
447C23×C4—132no—
448C23×C4C22×D1314yes—
449C23×C4C22×D1314yes—
450C23×C4C22×D1312yes—
451C23×C4C22×D1312yes—
452C23×C4C22×D1311yescharacteristic
453C23×C4C22×D1311yescharacteristic
454C23×C4C22×D1311yescharacteristic
455C23×C4C22×D1311yescharacteristic
456C23×C4C22×D1311yescharacteristic
457C23×C4C22×D1311yescharacteristic
458#126—268no—
459#125—268no—
460#123—268no—
461#123—268no—
462#123—268no—
463C22⋊Q8—264no—
464C22⋊Q8—268no—
465C22⋊Q8—524no—
466#121—264no—
467#121—524no—
468#120—268no—
469C4×D4—268no—
470C4×D4—528no—
471C2×C4⋊C4—24no—
472C2×C4⋊C4—24no—
473C2×C4⋊C4—24no—
474C2×C4⋊C4—216no—
475C2×C4⋊C4—216no—
476C2×C4⋊C4—132no—
477C2×C4⋊C4—131no—
478C2×C4⋊C4—132no—
479C2×C4⋊C4—132no—
480C2×C4⋊C4—131no—
481C2×C4⋊C4—132no—
482C2×C4⋊C4—134no—
483C2×C4⋊C4—134no—
484C2×C4⋊C4—132no—
485C2×C4⋊C4—134no—
486C2×C4⋊C4—132no—
487C2×C4⋊C4C22⋊D1318yescomplemented
488C2×C4⋊C4C22×D1314yes—
489C2×C4⋊C4C22×D1312yes—
490C2×C4⋊C4C22×D1312yes—
491C2×C4⋊C4C22×D1314yes—
492C2×C4⋊C4C22×D1312yes—
493C2×C4⋊C4C22×D1312yes—
494C2×C22⋊C4—132no—
495C2×C22⋊C4—134no—
496C2×C22⋊C4—132no—
497C2×C22⋊C4—134no—
498C2×C22⋊C4—132no—
499C2×C22⋊C4—134no—
500C2×C22⋊C4—132no—
501C2×C22⋊C4—132no—
502C2×C22⋊C4—132no—
503C2×C22⋊C4—132no—
504C2×C22⋊C4—134no—
505C2×C22⋊C4—134no—
506C2×C22⋊C4—134no—
507C2×C42—132no—
508C2×C42—134no—
509#95—134no—
510#95—134no—
511#95—134no—
512#95—132no—
513#95—134no—
514#95—132no—
515#95—134no—
516#95—134no—
517#95—134no—
518#95—134no—
519#95—134no—
520C2×C13—24no—
521C2×C13—28no—
522C2×C13C2×#52511yescharacteristic
523C2×C13C2×#53912yes—
524C2×C13#348411yescharacteristic
525C2×C13#348611yescharacteristic
526C2×C13#349212yes—
527D13—82no—
528C24—22no—
529C24—24no—
530C24—24no—
531C24—22no—
532C24—132no—
533C24#612714yes—
534C24C23×D1311yescharacteristic
535C24C23×D1312yes—
536C2×Q8—262no—
537C2×Q8—522no—
538C2×D4—268no—
539C2×D4—264no—
540C2×D4—264no—
541C2×D4—268no—
542C2×D4—268no—
543C2×D4—264no—
544C2×D4—262no—
545C2×D4—522no—
546C22×C4—232no—
547C22×C4—28no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—22no—
552C22×C4—28no—
553C22×C4—28no—
554C22×C4—28no—
555C22×C4—24no—
556C22×C4—24no—
557C22×C4—22no—
558C22×C4—22no—
559C22×C4—28no—
560C22×C4—24no—
561C22×C4—24no—
562C22×C4—42no—
563C22×C4—44no—
564C22×C4—42no—
565C22×C4—42no—
566C22×C4—42no—
567C22×C4—42no—
568C22×C4—42no—
569C22×C4—416no—
570C22×C4—416no—
571C22×C4—134no—
572C22×C4—134no—
573C22×C4—132no—
574C22×C4—132no—
575C22×C4—132no—
576C22×C4—264no—
577C22×C4—524no—
578C22×C4#612714yes—
579C22×C4C2×C22⋊D1314yes—
580C22×C4C2×C22⋊D1314yes—
581C22×C4C2×C22⋊D1314yes—
582C22×C4C23×D1312yes—
583C22×C4C23×D1312yes—
584C22×C4C23×D1312yes—
585C22×C4C23×D1312yes—
586C22×C4C23×D1312yes—
587C22×C4C23×D1311yescharacteristic
588C22×C4C23×D1311yescharacteristic
589C4⋊C4—28no—
590C4⋊C4—24no—
591C4⋊C4—24no—
592C4⋊C4—28no—
593C4⋊C4—268no—
594C4⋊C4—264no—
595C4⋊C4—262no—
596C4⋊C4—264no—
597C4⋊C4—264no—
598C4⋊C4—262no—
599C4⋊C4—264no—
600C4⋊C4—524no—
601C4⋊C4—522no—
602C4⋊C4—524no—
603C4⋊C4—522no—
604C4⋊C4C2×C22⋊D1318yes—
605C4⋊C4C2×C22⋊D1318yes—
606C22⋊C4—268no—
607C22⋊C4—264no—
608C22⋊C4—264no—
609C22⋊C4—268no—
610C22⋊C4—268no—
611C22⋊C4—264no—
612C22⋊C4—268no—
613C22⋊C4—264no—
614C22⋊C4—264no—
615C22⋊C4—264no—
616C22⋊C4—264no—
617C22⋊C4—524no—
618C22⋊C4—524no—
619C42—264no—
620C42—524no—
621C13#3498911yescharacteristic, complemented, Sylow
622C23—28no—
623C23—28no—
624C23—216no—
625C23—216no—
626C23—28no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—22no—
633C23—262no—
634C23—262no—
635C23—264no—
636C23—264no—
637C23—262no—
638C23C2×#612714yes—
639C23C2×#612712yes—
640C23C2×#612712yes—
641C23#8825114yes—
642C23#8825414yes—
643C23C22×C22⋊D1312yes—
644C23C24×D1311yescharacteristic
645Q8—1042no—
646D4—5216no—
647D4—528no—
648D4—1042no—
649C2×C4—232no—
650C2×C4—28no—
651C2×C4—28no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—24no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—416no—
667C2×C4—48no—
668C2×C4—48no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—264no—
672C2×C4—262no—
673C2×C4—264no—
674C2×C4—262no—
675C2×C4—264no—
676C2×C4—264no—
677C2×C4—264no—
678C2×C4—264no—
679C2×C4—264no—
680C2×C4—264no—
681C2×C4—262no—
682C2×C4—262no—
683C2×C4—262no—
684C2×C4—1044no—
685C2×C4C2×#612714yes—
686C2×C4C22×C22⋊D1314yes—
687C2×C4C22×C22⋊D1314yes—
688C2×C4C22×C22⋊D1312yes—
689C2×C4C22×C22⋊D1312yes—
690C22—232no—
691C22—24no—
692C22—22no—
693C22—24no—
694C22—22no—
695C22—24no—
696C22—24no—
697C22—24no—
698C22—24no—
699C22—24no—
700C22—24no—
701C22—522no—
702C22—522no—
703C22—524no—
704C22—522no—
705C22—524no—
706C22#1171922018yescomplemented
707C22#1171949614yes—
708C22C22×#612711yescharacteristic
709C22C22×#612711yescharacteristic
710C22C2×#8825112yes—
711C22C2×#8825412yes—
712C22C23×C22⋊D1311yescharacteristic
713C4—24no—
714C4—22no—
715C4—22no—
716C4—24no—
717C4—24no—
718C4—42no—
719C4—42no—
720C4—522no—
721C4—522no—
722C4—524no—
723C4—522no—
724C4—524no—
725C2—28no—
726C2—24no—
727C2—1042no—
728C2C2×#1171949611yescharacteristic
729C2C2×#1171922012yes—
730C2#1312847111yescharacteristic
731C2#1312848711yescharacteristic
732C2#1312854512yes—
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC23×C13×C4⋊C4C2
prime radical#13123118C2
hypercenterC23×C4⋊C4D13
hypocenterC13#34989
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#11719220C2semidirect
2. #13123128C2semidirect
3. #13123123C2semidirect
5. #13120649C2semidirect
6. #13120616C2semidirect
7. #13120578C2semidirect
8. #13119091C2semidirect
9. #13118971C2semidirect
10. #13118645C2semidirect
11. #13118571C2semidirect
12. #13117505C2semidirect
13. #13117439C2semidirect
14. C4×#88207C2semidirect
15. C23×C13×C4⋊C4C2semidirect
36. C2×#88152C22semidirect
37. C2×#88150C22semidirect
38. C2×#88148C22semidirect
39. C2×#88143C22semidirect
61. #11718655C22semidirect
62. #11718654C22semidirect
63. #11718653C22semidirect
64. #11718652C22semidirect
65. #11718651C22semidirect
66. #11718650C22semidirect
67. #11718647C22semidirect
68. #11718645C22semidirect
69. #11718644C22semidirect
70. #11718643C22semidirect
71. #11718642C22semidirect
72. #11718642C22semidirect
73. #11718641C22semidirect
74. #11718640C22semidirect
75. #11718639C22semidirect
76. #11718633C22semidirect
105. C2×C13×C4⋊C4D4semidirect
257. C23×C4⋊C4D13semidirect
412. C22×C13#539semidirect
487. C2×C4⋊C4C22⋊D13semidirect
621. C13#34989semidirect
706. C22#11719220semidirect

Maximal subgroups

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

subgroupindex
C2×#117192202
#131231282
#131231232
#131231182
#131206492
#131206162
#131205782
#131190912
#131189712
#131186452
#131185712
#131175052
#131174392
C4×#882072
C23×C13×C4⋊C42
#3498913