Finite Group Databasebeta

← #15869385

Subgroups — #15869385

Order 3328.

902 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13124291C211yesmaximal, characteristic
2C2×#11718806C211yesmaximal, characteristic, complemented
3C2×#11718805C211yesmaximal, characteristic, complemented
4#13123555C211yesmaximal, characteristic, complemented
5#13115755C211yesmaximal, characteristic, complemented
6#13115611C211yesmaximal, characteristic, complemented
7#13115484C211yesmaximal, characteristic, complemented
8#13115484C211yesmaximal, characteristic, complemented
9#13115163C211yesmaximal, characteristic, complemented
10#13115163C211yesmaximal, characteristic, complemented
11#13114856C211yesmaximal, characteristic, complemented
12#13114708C211yesmaximal, characteristic, complemented
13#13114682C211yesmaximal, characteristic, complemented
14#13114675C211yesmaximal, characteristic, complemented
15C13×#2875C211yesmaximal, characteristic, complemented
16C2×C13×#131C2211yescharacteristic
17C2×C13×#131C2211yescharacteristic
18C4×C13×#41C2211yescharacteristic
19C2×#88204C2211yescharacteristic
20C2×#88204C2211yescharacteristic
21C2×#88155C2211yescharacteristic
22C2×#88155C2211yescharacteristic
23#11719182C2211yescharacteristic
24C13×#405—21no—
25C13×#405—21no—
26C13×#405C2211yescharacteristic
27C13×#405C2211yescharacteristic
28C4×C13×M16—21no—
29C4×C13×M16C2211yescharacteristic
30C2×C13×#97—21no—
31C2×C13×#97C2211yescharacteristic
32C2×#88077C2211yescharacteristic
33C2×#88077C2211yescharacteristic
34#11718806—24no—
35#11718805—24no—
36C2×#88065C2211yescharacteristic
37C2×#88065C2211yescharacteristic
38C2×#88065C2211yescharacteristic
39C2×#88065C2211yescharacteristic
40C2×#88062C2211yescharacteristic
41C2×#88062C2211yescharacteristic
42#11718771C2211yescharacteristic
43#11718771C2211yescharacteristic
44C2×#88055C2211yescharacteristic
45C2×C8×Dic13C2211yescharacteristic
46#11718692C411yescharacteristic, complemented
47#11718689C411yescharacteristic, complemented
48#11718689C411yescharacteristic, complemented
49#11718688C411yescharacteristic, complemented
50#11718680C411yescharacteristic, complemented
51#11718677C411yescharacteristic, complemented
52#11718677C411yescharacteristic, complemented
53#11718676C411yescharacteristic, complemented
54#11718663C2211yescharacteristic
55#11718663C2211yescharacteristic
56C4×C4⋊Dic13C2211yescharacteristic
57#11718585C2211yescharacteristic
58C2×C4⋊#1055C2211yescharacteristic
59#11718367—21no—
60#11718367—21no—
61#11718367—21no—
62#11718367—21no—
63#11718150C2211yescharacteristic
64#11718150C2211yescharacteristic
65#11718142C2211yescharacteristic
66#11718142C2211yescharacteristic
67#11718124C2211yescharacteristic
68#11718124C2211yescharacteristic
69C2×C13×#41C2311yescharacteristic
70C2×#6127C2311yescharacteristic
71C2×#6127C2311yescharacteristic
72C13×#131—22no—
73C13×#131—22no—
74C13×#131—22no—
75C13×#131D414yescomplemented
76C2×C13×M16—21no—
77C2×C13×M16—21no—
78C2×C13×M16C2311yescharacteristic
79C2×C13×M16C2311yescharacteristic
80C22×C8×C13—21no—
81C22×C8×C13—21no—
82C22×C8×C13C2311yescharacteristic
83C22×C8×C13C2311yescharacteristic
84C4×Q8×C13C2×C411yescharacteristic
85C4×Q8×C13C2×C411yescharacteristic
86C4×D4×C13—21no—
87C4×D4×C13—21no—
88C4×D4×C13C2×C411yescharacteristic
89C4×D4×C13C2×C411yescharacteristic
90C13×#117—21no—
91C13×#117C2311yescharacteristic
92C2×C42×C13—21no—
93C2×C42×C13C2311yescharacteristic
94#88204—22no—
95#88204—22no—
96#88204—22no—
97#88204—22no—
98C2×#6107C2×C411yescharacteristic
99C2×#6107C2×C411yescharacteristic
100C2×#6106C2×C411yescharacteristic
101C2×#6106C2×C411yescharacteristic
102C2×#6105C2×C411yescharacteristic
103C2×#6105C2×C411yescharacteristic
104C2×#6104C2×C411yescharacteristic
105C2×#6104C2×C411yescharacteristic
106#88184—21no—
107#88184—21no—
108C2×C4⋊Dic13—21no—
109C2×C4×Dic13C2311yescharacteristic
110C2×C4×Dic13C2311yescharacteristic
111C2×#6099C2311yescharacteristic
112C2×#6099C2311yescharacteristic
113C22×#1055C2311yescharacteristic
114C22×#1055C2311yescharacteristic
115#88155—22no—
116#88155—22no—
117#88155—22no—
118#88155—22no—
119C2×#6094—21no—
120C2×#6094—21no—
121C2×C8×D13—21no—
122C2×C8×D13—21no—
123#88129C2×C411yescharacteristic
124#88129C2×C411yescharacteristic
125#88128C2×C411yescharacteristic
126C4×D52—21no—
127C4×D52—21no—
128#88123C2×C411yescharacteristic
129C13×#97—21no—
130C13×#97—21no—
131C13×#97—21no—
132C13×#97D411yescharacteristic
133C13×#97D411yescharacteristic
134C13×#97D411yescharacteristic
135C13×#97D411yescharacteristic
136C4×C8×C13—21no—
137C4×C8×C13—21no—
138C4×C8×C13—21no—
139#88077—22no—
140#88077—22no—
141#88071—21no—
142#88065—22no—
143#88065—22no—
144#88065—22no—
145#88065—22no—
146#88062—22no—
147#88062—22no—
148#88060—21no—
149#88060—21no—
150#88060—21no—
151#88060—21no—
152#88055—22no—
153C8×Dic13—22no—
154#88050C2×C411yescharacteristic
155#88050C2×C411yescharacteristic
156#88050C2×C411yescharacteristic
157#88050C2×C411yescharacteristic
158#88049C2×C411yescharacteristic
159#88049C2×C411yescharacteristic
160#88049C2×C411yescharacteristic
161#88049C2×C411yescharacteristic
162C4⋊#1055—21no—
163C4⋊#1055—21no—
164C4⋊#1055C2×C411yescharacteristic
165C4⋊#1055C2×C411yescharacteristic
166C4⋊#1055C2×C411yescharacteristic
167C4⋊#1055C2×C411yescharacteristic
168#21519—131nomaximal, Sylow
169C13×#41—21no—
170C13×#41—21no—
171C13×#41C2×D412yes—
172C13×#41#4112yes—
173C2×Q8×C13C22×C411yescharacteristic
174C2×D4×C13—21no—
175C2×D4×C13C22×C411yescharacteristic
176C22×C4×C13—21no—
177C22×C4×C13—21no—
178C22×C4×C13—21no—
179C22×C4×C13#4111yescharacteristic
180C22×C4×C13#4111yescharacteristic
181C22×C4×C13C2411yescharacteristic
182C2×C22⋊D13—21no—
183C2×C22⋊D13—21no—
184C22×Dic13—21no—
185C22×Dic13—21no—
186#6127—21no—
187#6127—21no—
188#6127—21no—
189#6127—21no—
190#6127—21no—
191#6127—21no—
192#6127—21no—
193#6127—21no—
194C2×D52—21no—
195C2×D52—21no—
196C2×D52C22×C411yescharacteristic
197C2×D52C22×C411yescharacteristic
198C2×C4×D13—21no—
199C2×C4×D13—21no—
200C2×Dic26C22×C411yescharacteristic
201C2×Dic26C22×C411yescharacteristic
202C13×M16—24no—
203C13×M16—21no—
204C13×M16—21no—
205C13×M16—24no—
206C13×M16C2×D412yes—
207C13×M16#4112yes—
208C2×C8×C13—24no—
209C2×C8×C13—21no—
210C2×C8×C13—21no—
211C2×C8×C13—21no—
212C2×C8×C13—21no—
213C2×C8×C13—24no—
214C2×C8×C13C2×D411yescharacteristic
215C2×C8×C13C2×D411yescharacteristic
216C2×C8×C13C2×D412yes—
217C2×C8×C13C2×D411yescharacteristic
218C2×C8×C13C2×D411yescharacteristic
219C2×C8×C13#4112yes—
220C13×C4⋊C4—21no—
221C13×C4⋊C4—21no—
222C13×C4⋊C4C22×C411yescharacteristic
223C13×C4⋊C4C22×C411yescharacteristic
224C13×C22⋊C4—21no—
225C13×C22⋊C4—21no—
226C13×C22⋊C4—21no—
227C42×C13—21no—
228C42×C13—21no—
229C42×C13—21no—
230C42×C13C22×C411yescharacteristic
231C42×C13C22×C411yescharacteristic
232C42×C13C2×D411yescharacteristic
233C42×C13C2×D411yescharacteristic
234#6107—22no—
235#6107—22no—
236#6106—22no—
237#6106—22no—
238#6105—22no—
239#6105—22no—
240#6104—22no—
241#6104—22no—
242#6103—21no—
243#6103—21no—
244#6103—21no—
245#6103—21no—
246C4⋊Dic13—21no—
247C4⋊Dic13—21no—
248C4⋊Dic13—42no—
249C4×Dic13—21no—
250C4×Dic13—21no—
251C4×Dic13—21no—
252C4×Dic13—21no—
253#6099—21no—
254#6099—21no—
255#6099—21no—
256#6099—21no—
257C2×#1055—21no—
258C2×#1055—21no—
259C2×#1055—21no—
260C2×#1055—21no—
261C2×#1055—21no—
262C2×#1055—21no—
263C2×#1055C22×C411yescharacteristic
264C2×#1055C22×C411yescharacteristic
265C2×#1055C22×C411yescharacteristic
266C2×#1055C22×C411yescharacteristic
267#6094—42no—
268#6094—42no—
269C8×D13—42no—
270C8×D13—42no—
271#3035—131no—
272C2×#444—131no—
273C2×#443—131no—
274#2932—131no—
275#2875D1311yescharacteristic, complemented
276#1980—131no—
277#1950—131no—
278#1929—131no—
279#1929—131no—
280#1876—131no—
281#1876—131no—
282#1806—131no—
283#1771—131no—
284#1765—131no—
285#1764—131no—
286C23×C13—21no—
287C23×C13C2×#4111yescharacteristic
288C22×D13—21no—
289C22×D13—21no—
290Q8×C13—21no—
291Q8×C13C4×D412yes—
292D4×C13—22no—
293D4×C13—22no—
294D4×C13—21no—
295D4×C13C4×D412yes—
296C2×C4×C13—21no—
297C2×C4×C13—22no—
298C2×C4×C13—22no—
299C2×C4×C13—21no—
300C2×C4×C13—21no—
301C2×C4×C13—41no—
302C2×C4×C13—41no—
303C2×C4×C13—81no—
304C2×C4×C13—81no—
305C2×C4×C13C4×D411yescharacteristic
306C2×C4×C13C4×D411yescharacteristic
307C2×C4×C13C4×D411yescharacteristic
308C2×C4×C13C4×D411yescharacteristic
309C2×C4×C13C23×C411yescharacteristic
310C2×C4×C13C22×D411yescharacteristic
311C2×C4×C13C22×D411yescharacteristic
312C2×C4×C13C2×#4111yescharacteristic
313C2×C4×C13C2×#4111yescharacteristic
314C2×C4×C13C2×#4111yescharacteristic
315C22⋊D13—41no—
316C22⋊D13—41no—
317C22⋊D13—41no—
318C22⋊D13—41no—
319C2×Dic13—22no—
320C2×Dic13—21no—
321C2×Dic13—21no—
322C2×Dic13—41no—
323C2×Dic13—41no—
324C2×Dic13—41no—
325C2×Dic13—41no—
326C2×Dic13—41no—
327D52—21no—
328D52—21no—
329D52—21no—
330D52—21no—
331D52—81no—
332D52—81no—
333C4×D13—41no—
334C4×D13—41no—
335C4×D13—41no—
336C4×D13—41no—
337Dic26—21no—
338Dic26—21no—
339Dic26—21no—
340Dic26—21no—
341C8×C13—22no—
342C8×C13—21no—
343C8×C13—22no—
344C8×C13—21no—
345C8×C13#12112yes—
346C8×C13#12112yes—
347#1055—21no—
348#1055—21no—
349#1055—21no—
350#1055—21no—
351#1055—41no—
352#1055—41no—
353C2×#135—131no—
354C2×#135—131no—
355C2×#131—131no—
356C2×#131—131no—
357C2×#131C2×D1311yescharacteristic
358C2×#131C2×D1311yescharacteristic
359#532—131no—
360C4×#41C2×D1311yescharacteristic
361#464—131no—
362#464—131no—
363#463—131no—
364#463—131no—
365#462—131no—
366#461—131no—
367#460—131no—
368#459—131no—
369#444—264no—
370#443—264no—
371#435—261no—
372#435—261no—
373#435—261no—
374#435—261no—
375C2×#108—131no—
376C2×#108—131no—
377#423—131no—
378C2×C4⋊C8—131no—
379C2×#104—131no—
380C2×#104—131no—
381C2×#104—131no—
382C2×#104—131no—
383C2×#104—131no—
384C2×#104—131no—
385#416—131no—
386#416—131no—
387#408—131no—
388#408—131no—
389#405—21no—
390#405—21no—
391#405C2×D1311yescharacteristic
392#405C2×D1311yescharacteristic
393C4×M16—21no—
394C4×M16C2×D1311yescharacteristic
395C2×#97—21no—
396C2×#97—131no—
397C2×#97C2×D1311yescharacteristic
398C2×C4×C8—131no—
399C4×C4⋊C4—131no—
400#341—131no—
401#341—131no—
402#339—131no—
403#339—131no—
404#336—131no—
405#336—131no—
406C22×C13—21no—
407C22×C13—21no—
408C22×C13—22no—
409C22×C13—41no—
410C22×C13—41no—
411C22×C13C2×C4×D411yescharacteristic
412C22×C13#52911yescharacteristic
413C22×C13#53211yescharacteristic
414C2×D13—41no—
415C2×D13—41no—
416C2×D13—41no—
417C2×D13—41no—
418C2×D13—41no—
419C2×D13—41no—
420C4×C13—21no—
421C4×C13—21no—
422C4×C13—21no—
423C4×C13—21no—
424C4×C13—22no—
425C4×C13—41no—
426C4×C13—41no—
427C4×C13C2×C4×D411yescharacteristic
428C4×C13C4×#4111yescharacteristic
429C4×C13C2×#12111yescharacteristic
430C4×C13#52511yescharacteristic
431Dic13—42no—
432Dic13—41no—
433Dic13—41no—
434Dic13—81no—
435C2×#41—131no—
436C2×#41—131no—
437C2×#41C22×D1311yescharacteristic
438#135—262no—
439#135—262no—
440#135—262no—
441#135—262no—
442C2×Q16—131no—
443C2×Q16—131no—
444C2×SD16—131no—
445C2×SD16—131no—
446C2×SD16—131no—
447C2×SD16—131no—
448C2×D8—131no—
449C2×D8—131no—
450#131—22no—
451#131—22no—
452#131—22no—
453#131—262no—
454#131—262no—
455#131—262no—
456#131—262no—
457#131D5214yescomplemented
458C2×M16—21no—
459C2×M16—21no—
460C2×M16—131no—
461C2×M16—131no—
462C2×M16—261no—
463C2×M16—261no—
464C2×M16C22×D1311yescharacteristic
465C2×M16C22×D1311yescharacteristic
466C22×C8—21no—
467C22×C8—21no—
468C22×C8—131no—
469C22×C8—131no—
470C22×C8—261no—
471C22×C8—261no—
472C22×C8C22×D1311yescharacteristic
473C22×C8C22×D1311yescharacteristic
474C4⋊Q8—131no—
475#127—131no—
476#124—131no—
477#124—131no—
478#121—261no—
479#121—261no—
480C4×Q8C4×D1311yescharacteristic
481C4×Q8C4×D1311yescharacteristic
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—261no—
485C4×D4—261no—
486C4×D4C4×D1311yescharacteristic
487C4×D4C4×D1311yescharacteristic
488#117—21no—
489#117C22×D1311yescharacteristic
490C2×C4⋊C4—261no—
491C2×C42—21no—
492C2×C42—131no—
493C2×C42—131no—
494C2×C42C22×D1311yescharacteristic
495#108—262no—
496#108—262no—
497C4⋊C8—131no—
498C4⋊C8—131no—
499C4⋊C8—131no—
500C4⋊C8—131no—
501C4⋊C8—261no—
502C4⋊C8—261no—
503#104—262no—
504#104—262no—
505#104—262no—
506#104—262no—
507#104—262no—
508#104—262no—
509#103—131no—
510#103—131no—
511#103—131no—
512#103—131no—
513#102—131no—
514#102—131no—
515#102—131no—
516#102—131no—
517C22⋊C8—261no—
518C22⋊C8—261no—
519C22⋊C8—261no—
520C22⋊C8—261no—
521#97—21no—
522#97—21no—
523#97—21no—
524#97—262no—
525#97C22⋊D1311yescharacteristic
526#97C22⋊D1311yescharacteristic
527#97C22⋊D1311yescharacteristic
528#97C22⋊D1311yescharacteristic
529C4×C8—21no—
530C4×C8—21no—
531C4×C8—21no—
532C4×C8—262no—
533#95—261no—
534C2×C13—21no—
535C2×C13—21no—
536C2×C13—42no—
537C2×C13C4×#12111yescharacteristic
538C2×C13#295611yescharacteristic
539C2×C13#295711yescharacteristic
540D13—81no—
541D13—81no—
542#41—21no—
543#41—21no—
544#41—261no—
545#41—261no—
546#41—261no—
547#41—261no—
548#41—261no—
549#41—261no—
550#41—261no—
551#41—261no—
552#41C2×D5212yes—
553#41#612712yes—
554C2×Q8—131no—
555C2×Q8—131no—
556C2×Q8C2×C4×D1311yescharacteristic
557C2×D4—21no—
558C2×D4—131no—
559C2×D4—131no—
560C2×D4—261no—
561C2×D4—261no—
562C2×D4—261no—
563C2×D4—261no—
564C2×D4C2×C4×D1311yescharacteristic
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—261no—
569C22×C4—261no—
570C22×C4—261no—
571C22×C4—261no—
572C22×C4#612711yescharacteristic
573C22×C4#612711yescharacteristic
574C22×C4C23×D1311yescharacteristic
575Q16—262no—
576Q16—262no—
577SD16—262no—
578SD16—262no—
579SD16—262no—
580SD16—262no—
581D8—262no—
582D8—262no—
583M16—24no—
584M16—21no—
585M16—21no—
586M16—24no—
587M16—261no—
588M16—261no—
589M16—261no—
590M16—261no—
591M16—522no—
592M16—522no—
593M16C2×D5212yes—
594M16#612712yes—
595C2×C8—24no—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—24no—
601C2×C8—131no—
602C2×C8—131no—
603C2×C8—131no—
604C2×C8—131no—
605C2×C8—261no—
606C2×C8—261no—
607C2×C8—261no—
608C2×C8—261no—
609C2×C8—261no—
610C2×C8—261no—
611C2×C8—522no—
612C2×C8—522no—
613C2×C8C2×D5212yes—
614C2×C8#612712yes—
615C2×C8C2×C22⋊D1311yescharacteristic
616C2×C8C2×C22⋊D1311yescharacteristic
617C2×C8C2×C22⋊D1311yescharacteristic
618C2×C8C2×C22⋊D1311yescharacteristic
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—261no—
622C4⋊C4—261no—
623C4⋊C4—522no—
624C4⋊C4C2×C4×D1311yescharacteristic
625C4⋊C4C2×C4×D1311yescharacteristic
626C22⋊C4—21no—
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—261no—
630C22⋊C4—261no—
631C22⋊C4—261no—
632C22⋊C4—261no—
633C42—21no—
634C42—21no—
635C42—21no—
636C42—261no—
637C42—261no—
638C42—261no—
639C42—261no—
640C42C2×C4×D1311yescharacteristic
641C42C2×C4×D1311yescharacteristic
642C42C2×C22⋊D1311yescharacteristic
643C42C2×C22⋊D1311yescharacteristic
644C13#2151911yescharacteristic, complemented, Sylow
645C23—21no—
646C23—261no—
647C23—261no—
648C23C2×#612711yescharacteristic
649Q8—21no—
650Q8—261no—
651Q8—261no—
652Q8—261no—
653Q8—261no—
654Q8C4×D5212yes—
655D4—22no—
656D4—22no—
657D4—21no—
658D4—261no—
659D4—261no—
660D4—261no—
661D4—261no—
662D4—521no—
663D4—521no—
664D4—521no—
665D4—521no—
666D4—1041no—
667D4—1041no—
668D4C4×D5212yes—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—81no—
677C2×C4—81no—
678C2×C4—262no—
679C2×C4—261no—
680C2×C4—261no—
681C2×C4—521no—
682C2×C4—521no—
683C2×C4—521no—
684C2×C4—521no—
685C2×C4—521no—
686C2×C4—521no—
687C2×C4—521no—
688C2×C4—521no—
689C2×C4—521no—
690C2×C4C4×C22⋊D1311yescharacteristic
691C2×C4C4×C22⋊D1311yescharacteristic
692C2×C4C4×C22⋊D1311yescharacteristic
693C2×C4C4×C22⋊D1311yescharacteristic
694C2×C4C22×C4×D1311yescharacteristic
695C2×C4C22×D5211yescharacteristic
696C2×C4C2×#612711yescharacteristic
697C2×C4C2×#612711yescharacteristic
698C2×C4C2×#612711yescharacteristic
699C2×C4C22×C22⋊D1311yescharacteristic
700C8—22no—
701C8—21no—
702C8—22no—
703C8—21no—
704C8—261no—
705C8—261no—
706C8—261no—
707C8—261no—
708C8—521no—
709C8—521no—
710C8#8818412yes—
711C8#8818412yes—
712C22—21no—
713C22—21no—
714C22—22no—
715C22—41no—
716C22—41no—
717C22—521no—
718C22—521no—
719C22—521no—
720C22—521no—
721C22—521no—
722C22—521no—
723C22#1171918211yescharacteristic
724C22#1171918411yescharacteristic
725C22C2×C4×C22⋊D1311yescharacteristic
726C4—21no—
727C4—21no—
728C4—22no—
729C4—21no—
730C4—21no—
731C4—41no—
732C4—41no—
733C4—522no—
734C4—521no—
735C4—521no—
736C4—1041no—
737C4C2×C4×D5211yescharacteristic
738C4C4×#612711yescharacteristic
739C4C2×#8818411yescharacteristic
740C4#1171949611yescharacteristic
741C2—21no—
742C2—21no—
743C2—42no—
744C2—1041no—
745C2—1041no—
746C2C4×#8818411yescharacteristic
747C2#1312374311yescharacteristic
748C2#1312375111yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC13×#2875C2
socleC22×C13C2×C4×D4
prime radical#13124291C2
cosocleC22×C4×C13C24
hypercenter#2875D13
hypocenterC13#21519
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C2×#97 ◁ #2875

Complements

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

NH ≅ G/Ntype
2. C2×#11718806C2semidirect
3. C2×#11718805C2semidirect
4. #13123555C2semidirect
5. #13115755C2semidirect
6. #13115611C2semidirect
7. #13115484C2semidirect
8. #13115484C2semidirect
9. #13115163C2semidirect
10. #13115163C2semidirect
11. #13114856C2semidirect
12. #13114708C2semidirect
13. #13114682C2semidirect
14. #13114675C2semidirect
15. C13×#2875C2semidirect
46. #11718692C4semidirect
47. #11718689C4semidirect
48. #11718689C4semidirect
49. #11718688C4semidirect
50. #11718680C4semidirect
51. #11718677C4semidirect
52. #11718677C4semidirect
53. #11718676C4semidirect
75. C13×#131D4semidirect
275. #2875D13semidirect
457. #131D52semidirect
644. C13#21519semidirect

Maximal subgroups

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

subgroupindex
#131242912
C2×#117188062
C2×#117188052
#131235552
#131157552
#131156112
#131154842
#131151632
#131148562
#131147082
#131146822
#131146752
C13×#28752
#2151913