Finite Group Databasebeta

← #6354513

Subgroups — #6354513

Order 512.

1777 conjugacy classes of subgroups.

The subgroup lattice has 777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60941C211yesmaximal, characteristic, complemented
2C2×#3076C211yesmaximal, characteristic, complemented
3#60415C211yesmaximal, characteristic
4#60277C211yesmaximal, characteristic, complemented
5#19451C214yesmaximal, complemented
6#19445C214yesmaximal, complemented
7#19439C212yesmaximal, complemented
8#19433C212yesmaximal, complemented
9#19427C212yesmaximal, complemented
10#19421C212yesmaximal, complemented
11#19156C218yesmaximal, complemented
12C2×#1571C211yesmaximal, characteristic, complemented
13#17708C211yesmaximal, characteristic, complemented
14C2×#1540C211yesmaximal, characteristic, complemented
15C2×#575—21no—
16C2×#533C2211yescharacteristic
17C2×#532C2211yescharacteristic
18C2×C4×#41C2211yescharacteristic
19#3246—22no—
20#3229C2212yescomplemented
21#3227C2212yes—
22#3208C2212yescomplemented
23#3206C2212yes—
24#3187—22no—
25#3167C2214yescomplemented
26#3103—22no—
27#3101—22no—
28#3076—22no—
29#3076—22no—
30#3076C2214yes—
31#3076C2214yescomplemented
32C2×#479—21no—
33C2×#477C2211yescharacteristic, complemented
34C2×#475C2211yescharacteristic, complemented
35C2×#478—21no—
36C2×#476C2211yescharacteristic, complemented
37C2×#474C2211yescharacteristic, complemented
38#3040—22no—
39#3039C2212yes—
40#3038C2212yes—
41#3037—21no—
42#3037C2212yes—
43#3036—21no—
44#3036C2212yes—
45#3035—22no—
46#3035C2214yes—
47#2989—22no—
48#2989C2214yes—
49#2983C2212yescomplemented
50#2975C2212yescomplemented
51#2973—22no—
52#2965—22no—
53#2965C2214yescomplemented
54#2920—22no—
55C2×#431C2211yescharacteristic
56C2×#431C2211yescharacteristic
57C2×#427—21no—
58C2×#423C2211yescharacteristic
59C22×C4⋊C8C2211yescharacteristic
60#2896—21no—
61C2×#416—21no—
62#1700C2218yescomplemented
63#1699C2218yescomplemented
64#1698C2218yescomplemented
65#1697C2218yescomplemented
66#1692C2218yescomplemented
67#1691C2218yescomplemented
68#1686C2218yescomplemented
69#1685C2218yescomplemented
70#1571C2212yescomplemented
71#1571C2212yescomplemented
72#1571C2214yescomplemented
73C2×#335C2214yescomplemented
74#1550C2214yescomplemented
75#1549C2212yescomplemented
76#1548C2212yescomplemented
77#1542C2214yescomplemented
78#1540C2212yes—
79#1540C2212yes—
80#1540C2214yescomplemented
81C2×#332C2212yescomplemented
82C2×#331C2212yescomplemented
83C22×#41—21no—
84C22×#41D411yescharacteristic
85#575—48no—
86C2×#137—22no—
87C2×#137—22no—
88C2×AGL(1,ℤ/8)—22no—
89C2×AGL(1,ℤ/8)—22no—
90C2×#135—24no—
91C22×M16—21no—
92C23×C8—21no—
93#533—21no—
94#533—21no—
95#533—21no—
96#533—21no—
97#533—21no—
98#533—21no—
99#533C2312yes—
100#533C2312yes—
101#532—21no—
102#532—21no—
103#532—21no—
104#532—21no—
105#532—21no—
106#532—21no—
107#532C2312yes—
108#532C2312yes—
109C2×C4⋊Q8C2311yescharacteristic
110C2×C4⋊Q8C2311yescharacteristic
111C2×C4⋊Q8C2311yescharacteristic
112C2×#127C2311yescharacteristic
113C2×#125—21no—
114C2×#124—21no—
115C2×C22⋊Q8—21no—
116C2×C22⋊Q8—21no—
117C2×#121—21no—
118C2×#121—21no—
119C4×#41—21no—
120C4×#41—21no—
121C4×#41—21no—
122C4×#41—21no—
123C4×#41D412yes—
124C4×#41D412yes—
125C4×#41C2312yes—
126C4×#41C2312yes—
127C2×C4×Q8—21no—
128C2×C4×Q8—21no—
129C2×C4×Q8D411yescharacteristic
130C2×C4×Q8C2311yescharacteristic
131C2×C4×D4—21no—
132C2×C4×D4—21no—
133C2×C4×D4—21no—
134C2×C4×D4—21no—
135C2×C4×D4D411yescharacteristic
136C2×C4×D4C2311yescharacteristic
137C2×#117—21no—
138C2×#117—21no—
139C2×#117D411yescharacteristic
140C22×C42—21no—
141C22×C42C2311yescharacteristic
142#498C2314yes—
143#492C2314yes—
144#487C2314yes—
145#486C2314yes—
146#483—24no—
147#481—24no—
148#479—24no—
149#479—24no—
150#478—24no—
151#478—24no—
152#477—22no—
153#477C2314yes—
154#476—22no—
155#476—24no—
156#476C2314yes—
157#475—22no—
158#475—24no—
159#475C2314yes—
160#474—22no—
161#474C2314yes—
162#465—28no—
163#464—24no—
164#464—24no—
165#463—24no—
166#463—24no—
167#462—22no—
168#462C2314yes—
169#461—22no—
170#461—24no—
171#461C2314yes—
172#460—22no—
173#460—24no—
174#460C2314yes—
175#459—22no—
176#459C2314yes—
177#450—24no—
178#448—24no—
179#446—24no—
180#446C2318yes—
181C4×SD16—28no—
182#436—24no—
183#436C2318yes—
184#435—28no—
185#435—28no—
186#432—24no—
187#432—24no—
188#431—21no—
189#431—21no—
190#431—24no—
191#431D412yes—
192#431D412yes—
193#431C2312yes—
194#431C2312yes—
195#431C2312yes—
196#431C2312yes—
197#427—24no—
198#427—24no—
199C2×#107—21no—
200C2×#107—21no—
201C2×#106—21no—
202C2×#106—21no—
203#423—21no—
204#423—21no—
205#423—24no—
206#423C2312yes—
207#423C2312yes—
208C2×C4⋊C8—21no—
209C2×C4⋊C8—21no—
210C2×C4⋊C8—21no—
211C2×C4⋊C8—21no—
212C2×C4⋊C8D412yes—
213C2×C4⋊C8C2311yescharacteristic
214C2×C4⋊C8C2312yes—
215C2×C4⋊C8C2312yes—
216C2×C4⋊C8C2311yescharacteristic
217C2×C4⋊C8C2312yes—
218C2×C4⋊C8C2312yes—
219#419—22no—
220#418—22no—
221#417—22no—
222#417—22no—
223#416—24no—
224#416—24no—
225#416—24no—
226C2×#103—21no—
227C2×#103—21no—
228C2×#102—21no—
229C2×#102—21no—
230#407—24no—
231C2×C22⋊C8—21no—
232C2×C22⋊C8D412yes—
233C4×M16—24no—
234C2×C4×C8—21no—
235C2×C4×C8C2312yes—
236#335C2318yes—
237#335C2318yes—
238#333C2318yes—
239#332C2314yes—
240#332C2314yes—
241#332C2318yes—
242#331C2314yes—
243#331C2314yes—
244C2×#41—21no—
245C2×#41—21no—
246C2×#41—24no—
247C2×#41—24no—
248C2×#41—22no—
249C2×#41—22no—
250C2×#41—41no—
251C2×#41—41no—
252C2×#41—44no—
253C2×#41—44no—
254C2×#41C2×D412yes—
255C2×#41C2×D412yes—
256C22×Q8—21no—
257C22×Q8—21no—
258C22×Q8—21no—
259C22×Q8C2×D411yescharacteristic
260C22×D4—21no—
261C22×D4—21no—
262C22×D4—21no—
263C22×D4—21no—
264C22×D4—41no—
265C22×D4C2×D411yescharacteristic
266C23×C4—21no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—41no—
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4#4111yescharacteristic
273#137—48no—
274#137—48no—
275AGL(1,ℤ/8)—48no—
276AGL(1,ℤ/8)—48no—
277#135—416no—
278C2×Q16—24no—
279C2×SD16—24no—
280C2×SD16—24no—
281C2×SD16—28no—
282C2×D8—24no—
283C2×M16—22no—
284C2×M16—22no—
285C2×M16—28no—
286C2×M16—44no—
287C22×C8—21no—
288C22×C8—21no—
289C22×C8—22no—
290C22×C8—22no—
291C22×C8—22no—
292C22×C8—22no—
293C22×C8—44no—
294C22×C8C2×D414yes—
295C4⋊Q8—21no—
296C4⋊Q8—21no—
297C4⋊Q8—21no—
298C4⋊Q8—21no—
299C4⋊Q8—21no—
300C4⋊Q8—21no—
301C4⋊Q8—21no—
302C4⋊Q8—21no—
303C4⋊Q8—21no—
304C4⋊Q8C2412yes—
305C4⋊Q8C2412yes—
306C4⋊Q8C2412yes—
307#127—21no—
308#127—21no—
309#127—21no—
310#127C2412yes—
311#125—22no—
312#125—22no—
313#125—41no—
314#125—41no—
315#124—22no—
316#124—22no—
317#124—41no—
318#124—41no—
319C22⋊Q8—22no—
320C22⋊Q8—22no—
321C22⋊Q8—22no—
322C22⋊Q8—22no—
323C22⋊Q8—41no—
324C22⋊Q8—41no—
325C22⋊Q8—41no—
326C22⋊Q8—41no—
327#121—22no—
328#121—22no—
329#121—22no—
330#121—22no—
331#121—41no—
332#121—41no—
333#121—41no—
334#121—41no—
335C4×Q8—21no—
336C4×Q8—21no—
337C4×Q8—21no—
338C4×Q8—21no—
339C4×Q8—22no—
340C4×Q8—22no—
341C4×Q8—22no—
342C4×Q8—22no—
343C4×Q8—41no—
344C4×Q8—41no—
345C4×Q8—41no—
346C4×Q8—41no—
347C4×Q8C2×D412yes—
348C4×Q8C2×D412yes—
349C4×Q8C2×D412yes—
350C4×Q8C2412yes—
351C4×D4—22no—
352C4×D4—22no—
353C4×D4—22no—
354C4×D4—22no—
355C4×D4—22no—
356C4×D4—22no—
357C4×D4—22no—
358C4×D4—22no—
359C4×D4—21no—
360C4×D4—21no—
361C4×D4—21no—
362C4×D4—22no—
363C4×D4—22no—
364C4×D4—21no—
365C4×D4—22no—
366C4×D4—22no—
367C4×D4—41no—
368C4×D4—41no—
369C4×D4—41no—
370C4×D4—41no—
371C4×D4C2×D412yes—
372C4×D4C2×D412yes—
373C4×D4C2×D412yes—
374C4×D4C2412yes—
375#117—21no—
376#117—21no—
377#117—22no—
378#117—22no—
379#117—22no—
380#117—22no—
381#117—22no—
382#117—22no—
383#117—41no—
384#117—41no—
385#117C2×D412yes—
386#117C2×D412yes—
387C2×C4⋊C4—21no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—21no—
390C2×C4⋊C4—21no—
391C2×C4⋊C4—21no—
392C2×C4⋊C4—21no—
393C2×C4⋊C4—21no—
394C2×C4⋊C4—21no—
395C2×C4⋊C4—41no—
396C2×C4⋊C4—41no—
397C2×C4⋊C4C2×D411yescharacteristic
398C2×C4⋊C4C2×D411yescharacteristic
399C2×C22⋊C4—21no—
400C2×C22⋊C4—21no—
401C2×C22⋊C4—21no—
402C2×C22⋊C4—41no—
403C2×C22⋊C4—41no—
404C2×C22⋊C4—41no—
405C2×C42—21no—
406C2×C42—21no—
407C2×C42—21no—
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—22no—
412C2×C42—41no—
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2×D411yescharacteristic
417C2×C42C2×D411yescharacteristic
418C2×C42C2×D411yescharacteristic
419C2×C42#4111yescharacteristic
420C2×C42#4111yescharacteristic
421C2×C42#4111yescharacteristic
422C2×C42C2411yescharacteristic
423C2×C42C2411yescharacteristic
424C2×C42C2411yescharacteristic
425#107—24no—
426#107—24no—
427#106—28no—
428#106—24no—
429#106—24no—
430C4⋊C8—28no—
431C4⋊C8—21no—
432C4⋊C8—21no—
433C4⋊C8—22no—
434C4⋊C8—22no—
435C4⋊C8—22no—
436C4⋊C8—22no—
437C4⋊C8—22no—
438C4⋊C8—22no—
439C4⋊C8C2×D414yes—
440C4⋊C8C2×D414yes—
441C4⋊C8C2414yes—
442C4⋊C8C2412yes—
443C4⋊C8C2412yes—
444C4⋊C8C2414yes—
445#103—24no—
446#103—24no—
447#103—28no—
448#103—24no—
449#103—24no—
450#102—24no—
451#102—24no—
452#102—28no—
453#102—24no—
454#102—24no—
455C22⋊C8—22no—
456C22⋊C8—22no—
457C22⋊C8—28no—
458C22⋊C8C2×D414yes—
459C22⋊C8C2×D414yes—
460#97—28no—
461C4×C8—22no—
462C4×C8—22no—
463C4×C8C2×D414yes—
464C4×C8C2414yes—
465C24—21no—
466C24—41no—
467C24#12111yescharacteristic
468#41—24no—
469#41—24no—
470#41—24no—
471#41—24no—
472#41—44no—
473#41—44no—
474#41—44no—
475#41—44no—
476#41—44no—
477#41—44no—
478#41—84no—
479#41—84no—
480C2×Q8—21no—
481C2×Q8—22no—
482C2×Q8—22no—
483C2×Q8—22no—
484C2×Q8—22no—
485C2×Q8—22no—
486C2×Q8—41no—
487C2×Q8—41no—
488C2×Q8—41no—
489C2×Q8—42no—
490C2×Q8—42no—
491C2×Q8—82no—
492C2×Q8—82no—
493C2×Q8C22×D412yes—
494C2×D4—22no—
495C2×D4—22no—
496C2×D4—21no—
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—44no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—41no—
506C2×D4—41no—
507C2×D4—41no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—82no—
511C2×D4—82no—
512C2×D4—84no—
513C2×D4C22×D412yes—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—42no—
524C22×C4—44no—
525C22×C4—41no—
526C22×C4—41no—
527C22×C4—41no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—82no—
531C22×C4—81no—
532C22×C4—82no—
533C22×C4—84no—
534C22×C4#12111yescharacteristic
535C22×C4#12111yescharacteristic
536C22×C4#12111yescharacteristic
537C22×C4#12111yescharacteristic
538C22×C4#12111yescharacteristic
539C22×C4#12111yescharacteristic
540C22×C4#12111yescharacteristic
541C22×C4#12111yescharacteristic
542C22×C4#12111yescharacteristic
543C22×C4AGL(1,ℤ/8)14yes—
544C22×C4#13714yes—
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D411yescharacteristic
549C22×C4C22×D411yescharacteristic
550C22×C4C22×D411yescharacteristic
551C22×C4C2×#4111yescharacteristic
552C22×C4C2×#4111yescharacteristic
553C22×C4C2×#4111yescharacteristic
554Q16—48no—
555SD16—48no—
556SD16—48no—
557SD16—88no—
558D8—48no—
559M16—44no—
560M16—44no—
561M16—88no—
562C2×C8—24no—
563C2×C8—22no—
564C2×C8—22no—
565C2×C8—24no—
566C2×C8—44no—
567C2×C8—44no—
568C2×C8—42no—
569C2×C8—42no—
570C2×C8—44no—
571C2×C8—44no—
572C2×C8—82no—
573C2×C8C22×D418yes—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—22no—
580C4⋊C4—22no—
581C4⋊C4—22no—
582C4⋊C4—22no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—22no—
586C4⋊C4—41no—
587C4⋊C4—41no—
588C4⋊C4—41no—
589C4⋊C4—41no—
590C4⋊C4—41no—
591C4⋊C4—41no—
592C4⋊C4—42no—
593C4⋊C4—42no—
594C4⋊C4—42no—
595C4⋊C4—42no—
596C4⋊C4C22×D412yes—
597C4⋊C4C22×D412yes—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—22no—
601C22⋊C4—22no—
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—42no—
605C22⋊C4—42no—
606C22⋊C4—42no—
607C22⋊C4—42no—
608C22⋊C4—42no—
609C22⋊C4—42no—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—22no—
616C42—42no—
617C42—42no—
618C42#12111yescharacteristic
619C42#12111yescharacteristic
620C42#12111yescharacteristic
621C42#12111yescharacteristic
622C42#12111yescharacteristic
623C42#12111yescharacteristic
624C42C22×D411yescharacteristic
625C42C22×D411yescharacteristic
626C42C22×D411yescharacteristic
627C42C22×D411yescharacteristic
628C42C22×D411yescharacteristic
629C42C22×D411yescharacteristic
630C42C2×#4111yescharacteristic
631C42C2×#4111yescharacteristic
632C42C2×#4111yescharacteristic
633C42C2511yescharacteristic
634C23—22no—
635C23—41no—
636C23—41no—
637C23—42no—
638C23—42no—
639C23—81no—
640C23—81no—
641C23—82no—
642C23—82no—
643C23—82no—
644C23#46814yes—
645C23C2×#12111yescharacteristic
646C23C2×#12111yescharacteristic
647C23C2×#12111yescharacteristic
648Q8—22no—
649Q8—22no—
650Q8—42no—
651Q8—44no—
652Q8—42no—
653Q8—42no—
654Q8—82no—
655Q8—82no—
656Q8—82no—
657Q8—82no—
658D4—22no—
659D4—22no—
660D4—44no—
661D4—44no—
662D4—44no—
663D4—42no—
664D4—42no—
665D4—42no—
666D4—82no—
667D4—82no—
668D4—82no—
669D4—84no—
670D4—84no—
671D4—82no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—82no—
696C2×C4—82no—
697C2×C4—81no—
698C2×C4—81no—
699C2×C4—82no—
700C2×C4—82no—
701C2×C4—82no—
702C2×C4—84no—
703C2×C4—84no—
704C2×C4#46814yes—
705C2×C4#46814yes—
706C2×C4#46814yes—
707C2×C4C2×#12111yescharacteristic
708C2×C4C2×#12111yescharacteristic
709C2×C4C2×#12111yescharacteristic
710C2×C4C2×#12111yescharacteristic
711C2×C4C2×#12111yescharacteristic
712C2×C4C2×#12111yescharacteristic
713C2×C4C2×#12111yescharacteristic
714C2×C4C2×#12111yescharacteristic
715C2×C4C2×#12111yescharacteristic
716C2×C4C2×AGL(1,ℤ/8)12yes—
717C2×C4C2×AGL(1,ℤ/8)12yes—
718C2×C4C2×AGL(1,ℤ/8)12yes—
719C2×C4C2×#13712yes—
720C2×C4C2×#13712yes—
721C2×C4C2×#13712yes—
722C2×C4C23×D411yescharacteristic
723C2×C4C23×D411yescharacteristic
724C2×C4C22×#4111yescharacteristic
725C8—28no—
726C8—44no—
727C8—42no—
728C8—42no—
729C8—44no—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—21no—
734C22—21no—
735C22—21no—
736C22—44no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—84no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—164no—
745C22C2×#46812yes—
746C22C2×#46812yes—
747C22C2×#46812yes—
748C22C22×#12111yescharacteristic
749C4—21no—
750C4—21no—
751C4—21no—
752C4—21no—
753C4—21no—
754C4—21no—
755C4—21no—
756C4—42no—
757C4—42no—
758C4—42no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4C2×#46812yes—
763C4C2×#46812yes—
764C4C2×#46812yes—
765C4C22×AGL(1,ℤ/8)11yescharacteristic
766C4C22×#13711yescharacteristic
767C4#358412yes—
768C2—22no—
769C2—22no—
770C2—22no—
771C2—82no—
772C2—162no—
773C2#6042211yescharacteristic
774C2C22×#46811yescharacteristic
775C2#6046911yescharacteristic
subgroupG/H
centerC2×C4C2×#121
commutator, Frattini, cosocleC42C25
socleC22C22×#121
prime radical#60415C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C2×C4 ◁ C22×C42 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60941C2semidirect
2. C2×#3076C2semidirect
4. #60277C2semidirect
5. #19451C2semidirect
6. #19445C2semidirect
7. #19439C2semidirect
8. #19433C2semidirect
9. #19427C2semidirect
10. #19421C2semidirect
11. #19156C2semidirect
12. C2×#1571C2semidirect
13. #17708C2semidirect
14. C2×#1540C2semidirect
20. #3229C22semidirect
22. #3208C22semidirect
25. #3167C22semidirect
31. #3076C22semidirect
33. C2×#477C22semidirect
34. C2×#475C22semidirect
36. C2×#476C22semidirect
37. C2×#474C22semidirect
49. #2983C22semidirect
50. #2975C22semidirect
53. #2965C22semidirect
62. #1700C22semidirect
63. #1699C22semidirect
64. #1698C22semidirect
65. #1697C22semidirect
66. #1692C22semidirect
67. #1691C22semidirect
68. #1686C22semidirect
69. #1685C22semidirect
70. #1571C22semidirect
71. #1571C22semidirect
72. #1571C22semidirect
73. C2×#335C22semidirect
74. #1550C22semidirect
75. #1549C22semidirect
76. #1548C22semidirect
77. #1542C22semidirect
80. #1540C22semidirect
81. C2×#332C22semidirect
82. C2×#331C22semidirect

Maximal subgroups

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

subgroupindex
#609412
C2×#30762
#604152
#602772
#194512
#194452
#194392
#194332
#194272
#194212
#191562
C2×#15712
#177082
C2×#15402