Finite Group Databasebeta

← C131×#29615 #45715499

Subgroups — C131×#29615 #45715499

Order 33536.

1286 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3449×C131C211yesmaximal, characteristic
2#3095×C131C211yesmaximal, characteristic, complemented
3#3007×C131C211yesmaximal, characteristic, complemented
4#2432×C131C211yesmaximal, characteristic, complemented
5#2038×C131C212yesmaximal, complemented
6#2037×C131C212yesmaximal, complemented
7#2005×C131C212yesmaximal, complemented
8#2004×C131C212yesmaximal, complemented
9#1826×C131C211yesmaximal, characteristic, complemented
10#1789×C131C211yesmaximal, characteristic, complemented
11#1785×C131C211yesmaximal, characteristic, complemented
12C22×#41×C131C2211yescharacteristic
13C22×#41×C131C2211yescharacteristic
14C2×#137×C131C2212yes—
15#537×C131—21no—
16#537×C131—21no—
17#536×C131—21no—
18#536×C131C2212yes—
19#535×C131—21no—
20#535×C131C2212yes—
21#534×C131—22no—
22#532×C131—22no—
23C2×C4⋊Q8×C131C2211yescharacteristic, complemented
24C2×#124×C131C2211yescharacteristic, complemented
25#525×C131—22no—
26#525×C131—22no—
27C2×C22⋊Q8×C131C2211yescharacteristic
28C2×#117×C131C2211yescharacteristic
29#485×C131—22no—
30#484×C131—21no—
31#483×C131—21no—
32#452×C131—22no—
33#451×C131—21no—
34#450×C131—21no—
35#428×C131C2212yescomplemented
36C2×#104×C131C2212yes—
37C2×#104×C131C2212yes—
38#419×C131C2212yescomplemented
39#417×C131C2212yes—
40C2×#101×C131C2212yescomplemented
41C2×#100×C131C2212yescomplemented
42#407×C131C2211yescharacteristic
43#407×C131C2211yescharacteristic
44#394×C131—22no—
45#391×C131C2211yescharacteristic, complemented
46#390×C131C2211yescharacteristic, complemented
47#385×C131—22no—
48C4×C22⋊C4×C131C2211yescharacteristic
49#339×C131C2212yescomplemented
50#339×C131C2212yescomplemented
51C2×#41×C131—21no—
52C2×#41×C131—21no—
53C2×#41×C131—21no—
54C2×#41×C131—21no—
55C2×#41×C131—21no—
56C2×#41×C131—21no—
57C2×#41×C131—42no—
58C2×#41×C131—42no—
59C2×#41×C131—42no—
60C2×#41×C131—42no—
61C2×#41×C131D412yes—
62C2×#41×C131C2312yes—
63C22×Q8×C131D411yescharacteristic
64C22×Q8×C131C2311yescharacteristic
65C22×Q8×C131C2311yescharacteristic
66C22×D4×C131—21no—
67C22×D4×C131D412yes—
68C22×D4×C131D411yescharacteristic
69C22×D4×C131C2311yescharacteristic
70C23×C4×C131—21no—
71C23×C4×C131D412yes—
72C23×C4×C131C2311yescharacteristic
73#137×C131—42no—
74#137×C131—42no—
75C2×Q16×C131—22no—
76C2×SD16×C131—22no—
77C2×M16×C131C2312yes—
78C2×M16×C131C2312yes—
79C4⋊Q8×C131—22no—
80C4⋊Q8×C131—42no—
81#127×C131—22no—
82#124×C131—22no—
83#124×C131—22no—
84#124×C131—42no—
85#123×C131—24no—
86#123×C131—24no—
87C22⋊Q8×C131—22no—
88C22⋊Q8×C131—22no—
89C22⋊Q8×C131—22no—
90C22⋊Q8×C131—22no—
91C22⋊Q8×C131—21no—
92C22⋊Q8×C131—21no—
93C22⋊Q8×C131—21no—
94C22⋊Q8×C131—21no—
95#121×C131—22no—
96#121×C131—22no—
97#121×C131—24no—
98#121×C131—24no—
99#121×C131—22no—
100#121×C131—22no—
101#120×C131—24no—
102#120×C131—24no—
103C4×D4×C131—24no—
104C4×D4×C131—24no—
105#117×C131—21no—
106#117×C131—21no—
107#117×C131D412yes—
108#117×C131C2312yes—
109C2×C4⋊C4×C131—22no—
110C2×C4⋊C4×C131—21no—
111C2×C4⋊C4×C131D411yescharacteristic
112C2×C4⋊C4×C131D411yescharacteristic
113C2×C4⋊C4×C131C2311yescharacteristic
114C2×C22⋊C4×C131—21no—
115C2×C22⋊C4×C131—22no—
116C2×C22⋊C4×C131—21no—
117C2×C22⋊C4×C131—21no—
118C2×C22⋊C4×C131—22no—
119C2×C42×C131—21no—
120C2×C42×C131C2311yescharacteristic
121C2×C42×C131C2311yescharacteristic
122#107×C131—22no—
123#106×C131—22no—
124#104×C131—42no—
125#104×C131—42no—
126#103×C131—22no—
127#103×C131—22no—
128#103×C131—22no—
129#102×C131—22no—
130#101×C131—42no—
131#100×C131—42no—
132C22⋊C8×C131—21no—
133C22⋊C8×C131—21no—
134C22⋊C8×C131—21no—
135C22⋊C8×C131—21no—
136#95×C131—22no—
137#95×C131—21no—
138C24×C131—21no—
139C24×C131C2×D412yes—
140C24×C131C2×D411yescharacteristic
141#41×C131—22no—
142#41×C131—22no—
143#41×C131—22no—
144#41×C131—22no—
145#41×C131—42no—
146#41×C131—42no—
147#41×C131—42no—
148#41×C131—42no—
149#41×C131—44no—
150#41×C131—44no—
151#41×C131—44no—
152#41×C131—44no—
153#41×C131—44no—
154C2×Q8×C131—21no—
155C2×Q8×C131—21no—
156C2×Q8×C131—21no—
157C2×Q8×C131—22no—
158C2×Q8×C131—22no—
159C2×Q8×C131—21no—
160C2×Q8×C131—21no—
161C2×Q8×C131—22no—
162C2×Q8×C131—22no—
163C2×Q8×C131—42no—
164C2×Q8×C131C2×D412yes—
165C2×D4×C131—22no—
166C2×D4×C131—22no—
167C2×D4×C131—22no—
168C2×D4×C131—22no—
169C2×D4×C131—24no—
170C2×D4×C131—24no—
171C2×D4×C131—21no—
172C2×D4×C131—21no—
173C2×D4×C131—21no—
174C2×D4×C131—22no—
175C2×D4×C131—22no—
176C2×D4×C131—42no—
177C2×D4×C131—42no—
178C2×D4×C131—42no—
179C2×D4×C131—42no—
180C2×D4×C131—42no—
181C2×D4×C131C2×D412yes—
182C22×C4×C131—22no—
183C22×C4×C131—22no—
184C22×C4×C131—21no—
185C22×C4×C131—21no—
186C22×C4×C131—21no—
187C22×C4×C131—21no—
188C22×C4×C131—22no—
189C22×C4×C131—22no—
190C22×C4×C131—22no—
191C22×C4×C131—22no—
192C22×C4×C131—21no—
193C22×C4×C131—21no—
194C22×C4×C131—21no—
195C22×C4×C131—42no—
196C22×C4×C131—42no—
197C22×C4×C131—44no—
198C22×C4×C131C2×D412yes—
199C22×C4×C131C2×D411yescharacteristic
200C22×C4×C131C2×D411yescharacteristic
201C22×C4×C131C2×D411yescharacteristic
202C22×C4×C131C2×D411yescharacteristic
203C22×C4×C131C2×D411yescharacteristic
204C22×C4×C131C2411yescharacteristic
205Q16×C131—44no—
206SD16×C131—44no—
207M16×C131—22no—
208M16×C131—22no—
209M16×C131—22no—
210M16×C131—22no—
211C2×C8×C131—22no—
212C2×C8×C131—22no—
213C4⋊C4×C131—24no—
214C4⋊C4×C131—24no—
215C4⋊C4×C131—21no—
216C4⋊C4×C131—21no—
217C4⋊C4×C131—21no—
218C4⋊C4×C131—21no—
219C4⋊C4×C131—44no—
220C4⋊C4×C131—41no—
221C4⋊C4×C131—41no—
222C4⋊C4×C131C2×D412yes—
223C4⋊C4×C131C2×D412yes—
224C22⋊C4×C131—24no—
225C22⋊C4×C131—24no—
226C22⋊C4×C131—24no—
227C22⋊C4×C131—24no—
228C22⋊C4×C131—22no—
229C22⋊C4×C131—22no—
230C22⋊C4×C131—42no—
231C22⋊C4×C131—44no—
232C22⋊C4×C131—44no—
233C22⋊C4×C131—41no—
234C22⋊C4×C131—41no—
235C42×C131—22no—
236C42×C131—22no—
237C42×C131—22no—
238C42×C131—22no—
239C23×C131—21no—
240C23×C131—21no—
241C23×C131—22no—
242C23×C131—22no—
243C23×C131—22no—
244C23×C131—22no—
245C23×C131—41no—
246C23×C131—41no—
247C23×C131—42no—
248C23×C131—42no—
249C23×C131—42no—
250C23×C131—81no—
251C23×C131—81no—
252C23×C131#12011yescharacteristic
253C23×C131#12011yescharacteristic
254C23×C131C22×D411yescharacteristic
255Q8×C131—22no—
256Q8×C131—22no—
257Q8×C131—42no—
258Q8×C131—42no—
259Q8×C131—42no—
260Q8×C131—42no—
261Q8×C131—42no—
262D4×C131—22no—
263D4×C131—22no—
264D4×C131—42no—
265D4×C131—44no—
266D4×C131—44no—
267D4×C131—44no—
268D4×C131—42no—
269D4×C131—42no—
270D4×C131—42no—
271D4×C131—42no—
272D4×C131—84no—
273D4×C131—84no—
274C2×C4×C131—21no—
275C2×C4×C131—21no—
276C2×C4×C131—22no—
277C2×C4×C131—22no—
278C2×C4×C131—22no—
279C2×C4×C131—22no—
280C2×C4×C131—22no—
281C2×C4×C131—22no—
282C2×C4×C131—22no—
283C2×C4×C131—22no—
284C2×C4×C131—22no—
285C2×C4×C131—22no—
286C2×C4×C131—22no—
287C2×C4×C131—44no—
288C2×C4×C131—44no—
289C2×C4×C131—44no—
290C2×C4×C131—41no—
291C2×C4×C131—42no—
292C2×C4×C131—41no—
293C2×C4×C131—42no—
294C2×C4×C131—42no—
295C2×C4×C131—41no—
296C2×C4×C131—42no—
297C2×C4×C131—41no—
298C2×C4×C131—41no—
299C2×C4×C131—41no—
300C2×C4×C131—41no—
301C2×C4×C131—41no—
302C2×C4×C131—41no—
303C2×C4×C131—81no—
304C2×C4×C131—81no—
305C2×C4×C131#12011yescharacteristic
306C2×C4×C131#12011yescharacteristic
307C2×C4×C131C22×D411yescharacteristic
308C2×C4×C131C22×D411yescharacteristic
309C2×C4×C131H(5,𝔽2)12yes—
310C2×C4×C131H(5,𝔽2)12yes—
311C8×C131—42no—
312C8×C131—42no—
313C22×C131—21no—
314C22×C131—21no—
315C22×C131—21no—
316C22×C131—21no—
317C22×C131—21no—
318C22×C131—21no—
319C22×C131—21no—
320C22×C131—21no—
321C22×C131—44no—
322C22×C131—42no—
323C22×C131—42no—
324C22×C131—42no—
325C22×C131—42no—
326C22×C131—42no—
327C22×C131—42no—
328C22×C131—81no—
329C22×C131—81no—
330C22×C131—82no—
331C22×C131—84no—
332C22×C131C2×#12011yescharacteristic
333C22×C131#53411yescharacteristic
334C22×C131#53411yescharacteristic
335C4×C131—21no—
336C4×C131—21no—
337C4×C131—42no—
338C4×C131—42no—
339C4×C131—42no—
340C4×C131—42no—
341C4×C131—42no—
342C4×C131—81no—
343C4×C131—81no—
344C4×C131—81no—
345C4×C131#53412yes—
346C4×C131#53512yes—
347C2×C131—21no—
348C2×C131—21no—
349C2×C131—41no—
350C2×C131—41no—
351C2×C131—82no—
352C2×C131—82no—
353C2×C131#261311yescharacteristic
354C2×C131#301811yescharacteristic
355C2×C131#302211yescharacteristic
356#29615C13111yesmaximal, characteristic, direct product factor, Sylow
357C131#2961511yescharacteristic, direct product factor, Sylow
358#3449C2×C13111yescharacteristic
359#3095C2×C13111yescharacteristic, complemented
360#3007C2×C13111yescharacteristic, complemented
361#2432C2×C13111yescharacteristic, complemented
362#2038C2×C13112yescomplemented
363#2037C2×C13112yescomplemented
364#2005C2×C13112yescomplemented
365#2004C2×C13112yescomplemented
366#1826C2×C13111yescharacteristic, complemented
367#1789C2×C13111yescharacteristic, complemented
368#1785C2×C13111yescharacteristic, complemented
369C22×#41C22×C13111yescharacteristic
370C22×#41C22×C13111yescharacteristic
371C2×#137C22×C13112yes—
372#537—21no—
373#537—21no—
374#536—21no—
375#536C22×C13112yes—
376#535—21no—
377#535C22×C13112yes—
378#534—22no—
379#532—22no—
380C2×C4⋊Q8C22×C13111yescharacteristic, complemented
381C2×#124C22×C13111yescharacteristic, complemented
382#525—22no—
383#525—22no—
384C2×C22⋊Q8C22×C13111yescharacteristic
385C2×#117C22×C13111yescharacteristic
386#485—22no—
387#484—21no—
388#483—21no—
389#452—22no—
390#451—21no—
391#450—21no—
392#428C22×C13112yescomplemented
393C2×#104C22×C13112yes—
394C2×#104C22×C13112yes—
395#419C22×C13112yescomplemented
396#417C22×C13112yes—
397C2×#101C22×C13112yescomplemented
398C2×#100C22×C13112yescomplemented
399#407C22×C13111yescharacteristic
400#407C22×C13111yescharacteristic
401#394—22no—
402#391C22×C13111yescharacteristic, complemented
403#390C22×C13111yescharacteristic, complemented
404#385—22no—
405C4×C22⋊C4C22×C13111yescharacteristic
406#339C22×C13112yescomplemented
407#339C22×C13112yescomplemented
408C2×#41—21no—
409C2×#41—21no—
410C2×#41—21no—
411C2×#41—21no—
412C2×#41—21no—
413C2×#41—21no—
414C2×#41—42no—
415C2×#41—42no—
416C2×#41—42no—
417C2×#41—42no—
418C2×#41D4×C13112yes—
419C2×#41C23×C13112yes—
420C22×Q8D4×C13111yescharacteristic
421C22×Q8C23×C13111yescharacteristic
422C22×Q8C23×C13111yescharacteristic
423C22×D4—21no—
424C22×D4D4×C13112yes—
425C22×D4D4×C13111yescharacteristic
426C22×D4C23×C13111yescharacteristic
427C23×C4—21no—
428C23×C4D4×C13112yes—
429C23×C4C23×C13111yescharacteristic
430#137—42no—
431#137—42no—
432C2×Q16—22no—
433C2×SD16—22no—
434C2×M16C23×C13112yes—
435C2×M16C23×C13112yes—
436C4⋊Q8—22no—
437C4⋊Q8—42no—
438#127—22no—
439#124—22no—
440#124—22no—
441#124—42no—
442#123—24no—
443#123—24no—
444C22⋊Q8—22no—
445C22⋊Q8—22no—
446C22⋊Q8—22no—
447C22⋊Q8—22no—
448C22⋊Q8—21no—
449C22⋊Q8—21no—
450C22⋊Q8—21no—
451C22⋊Q8—21no—
452#121—22no—
453#121—22no—
454#121—24no—
455#121—24no—
456#121—22no—
457#121—22no—
458#120—24no—
459#120—24no—
460C4×D4—24no—
461C4×D4—24no—
462#117—21no—
463#117—21no—
464#117D4×C13112yes—
465#117C23×C13112yes—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—22no—
468C2×C4⋊C4D4×C13111yescharacteristic
469C2×C4⋊C4D4×C13111yescharacteristic
470C2×C4⋊C4C23×C13111yescharacteristic
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—22no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—22no—
476C2×C42—21no—
477C2×C42C23×C13111yescharacteristic
478C2×C42C23×C13111yescharacteristic
479#107—22no—
480#106—22no—
481#104—42no—
482#104—42no—
483#103—22no—
484#103—22no—
485#103—22no—
486#102—22no—
487#101—42no—
488#100—42no—
489C22⋊C8—21no—
490C22⋊C8—21no—
491C22⋊C8—21no—
492C22⋊C8—21no—
493#95—21no—
494#95—22no—
495C24—21no—
496C24C2×D4×C13112yes—
497C24C2×D4×C13111yescharacteristic
498#41—22no—
499#41—22no—
500#41—22no—
501#41—22no—
502#41—42no—
503#41—42no—
504#41—42no—
505#41—42no—
506#41—44no—
507#41—44no—
508#41—44no—
509#41—44no—
510#41—44no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—22no—
515C2×Q8—22no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—22no—
519C2×Q8—22no—
520C2×Q8—42no—
521C2×Q8C2×D4×C13112yes—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—24no—
527C2×D4—24no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—42no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4C2×D4×C13112yes—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—42no—
553C22×C4—42no—
554C22×C4—44no—
555C22×C4C2×D4×C13112yes—
556C22×C4C2×D4×C13111yescharacteristic
557C22×C4C2×D4×C13111yescharacteristic
558C22×C4C2×D4×C13111yescharacteristic
559C22×C4C2×D4×C13111yescharacteristic
560C22×C4C2×D4×C13111yescharacteristic
561C22×C4C24×C13111yescharacteristic
562Q16—44no—
563SD16—44no—
564M16—22no—
565M16—22no—
566M16—22no—
567M16—22no—
568C2×C8—22no—
569C2×C8—22no—
570C4⋊C4—24no—
571C4⋊C4—24no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—44no—
577C4⋊C4—41no—
578C4⋊C4—41no—
579C4⋊C4C2×D4×C13112yes—
580C4⋊C4C2×D4×C13112yes—
581C22⋊C4—24no—
582C22⋊C4—24no—
583C22⋊C4—24no—
584C22⋊C4—24no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—42no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—41no—
591C22⋊C4—41no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C23—21no—
597C23—21no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—41no—
603C23—41no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—81no—
608C23—81no—
609C23#120×C13111yescharacteristic
610C23#120×C13111yescharacteristic
611C23C22×D4×C13111yescharacteristic
612Q8—22no—
613Q8—22no—
614Q8—42no—
615Q8—42no—
616Q8—42no—
617Q8—42no—
618Q8—42no—
619D4—22no—
620D4—22no—
621D4—42no—
622D4—44no—
623D4—44no—
624D4—44no—
625D4—42no—
626D4—42no—
627D4—42no—
628D4—42no—
629D4—84no—
630D4—84no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—44no—
645C2×C4—44no—
646C2×C4—44no—
647C2×C4—42no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—81no—
661C2×C4—81no—
662C2×C4#120×C13111yescharacteristic
663C2×C4#120×C13111yescharacteristic
664C2×C4C22×D4×C13111yescharacteristic
665C2×C4C22×D4×C13111yescharacteristic
666C2×C4H(5,𝔽2)×C13112yes—
667C2×C4H(5,𝔽2)×C13112yes—
668C8—42no—
669C8—42no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—21no—
677C22—21no—
678C22—44no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—81no—
686C22—81no—
687C22—82no—
688C22—84no—
689C22C2×#120×C13111yescharacteristic
690C22#534×C13111yescharacteristic
691C22#534×C13111yescharacteristic
692C4—21no—
693C4—21no—
694C4—42no—
695C4—42no—
696C4—42no—
697C4—42no—
698C4—42no—
699C4—81no—
700C4—81no—
701C4—81no—
702C4#534×C13112yes—
703C4#535×C13112yes—
704C2—21no—
705C2—21no—
706C2—41no—
707C2—41no—
708C2—82no—
709C2—82no—
710C2#2613×C13111yescharacteristic
711C2#3018×C13111yescharacteristic
712C2#3022×C13111yescharacteristic
subgroupG/H
center, socleC22×C131C2×#120
commutator, Frattini, cosocleC22×C4C24×C131
prime radical#3449×C131C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C131 ◁ C23×C4×C131 ◁ G

Complements

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

NH ≅ G/Ntype
2. #3095×C131C2semidirect
3. #3007×C131C2semidirect
4. #2432×C131C2semidirect
5. #2038×C131C2semidirect
6. #2037×C131C2semidirect
7. #2005×C131C2semidirect
8. #2004×C131C2semidirect
9. #1826×C131C2semidirect
10. #1789×C131C2semidirect
11. #1785×C131C2semidirect
23. C2×C4⋊Q8×C131C22semidirect
24. C2×#124×C131C22semidirect
35. #428×C131C22semidirect
38. #419×C131C22semidirect
40. C2×#101×C131C22semidirect
41. C2×#100×C131C22semidirect
45. #391×C131C22semidirect
46. #390×C131C22semidirect
49. #339×C131C22semidirect
50. #339×C131C22semidirect
356. #29615C131direct (N × H)
357. C131#29615direct (N × H)
359. #3095C2×C131semidirect
360. #3007C2×C131semidirect
361. #2432C2×C131semidirect
362. #2038C2×C131semidirect
363. #2037C2×C131semidirect
364. #2005C2×C131semidirect
365. #2004C2×C131semidirect
366. #1826C2×C131semidirect
367. #1789C2×C131semidirect
368. #1785C2×C131semidirect
380. C2×C4⋊Q8C22×C131semidirect
381. C2×#124C22×C131semidirect
392. #428C22×C131semidirect
395. #419C22×C131semidirect
397. C2×#101C22×C131semidirect
398. C2×#100C22×C131semidirect
402. #391C22×C131semidirect
403. #390C22×C131semidirect
406. #339C22×C131semidirect
407. #339C22×C131semidirect

Maximal subgroups

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

subgroupindex
#3449×C1312
#3095×C1312
#3007×C1312
#2432×C1312
#2038×C1312
#2037×C1312
#2005×C1312
#2004×C1312
#1826×C1312
#1789×C1312
#1785×C1312
#29615131