Finite Group Databasebeta

← #10801641

Subgroups — #10801641

Order 768.

910 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
1C2×#4894C211yesmaximal, characteristic, complemented
2C2×#4823C211yesmaximal, characteristic, complemented
3#78861C211yesmaximal, characteristic
4#78657C211yesmaximal, characteristic, complemented
5#78549C211yesmaximal, characteristic, complemented
6C3×#1929C211yesmaximal, characteristic, complemented
7#70695C211yesmaximal, characteristic, complemented
8#70358C211yesmaximal, characteristic, complemented
9#70290C211yesmaximal, characteristic, complemented
10#70011C211yesmaximal, characteristic, complemented
11#69900C211yesmaximal, characteristic, complemented
12#68770C211yesmaximal, characteristic, complemented
13#68740C211yesmaximal, characteristic, complemented
14#68695C211yesmaximal, characteristic, complemented
15#68652C211yesmaximal, characteristic, complemented
16#21518—31nomaximal, Sylow
17#5832C2211yescharacteristic
18C2×#950C2211yescharacteristic
19C2×#948C2211yescharacteristic
20C2×#907C2211yescharacteristic
21C2×#907C2211yescharacteristic
22C2×#904C2211yescharacteristic
23C2×#901C2211yescharacteristic
24#5522C2211yescharacteristic
25C2×C3×#108C2211yescharacteristic
26C2×C3×#104C2211yescharacteristic
27C3×#416C2211yescharacteristic
28C3×#408C2211yescharacteristic
29C3×#405C2211yescharacteristic
30C2×#837C2211yescharacteristic
31C2×#825C2211yescharacteristic
32C2×#825C2211yescharacteristic
33C2×#822C2211yescharacteristic
34#5118C2211yescharacteristic
35Dic3×M16C2211yescharacteristic
36#5110C2211yescharacteristic
37C2×#815C2211yescharacteristic
38C2×Dic3⋊C8C2211yescharacteristic
39C2×C8×Dic3C2211yescharacteristic
40#5002C2211yescharacteristic
41#4997C2211yescharacteristic
42C4×Dic3⋊C4C2211yescharacteristic
43C2×#805C2211yescharacteristic
44C2×#805C2211yescharacteristic
45C2×#803C2211yescharacteristic
46#4894—24no—
47#4823—24no—
48#4819C411yescharacteristic, complemented
49#4818C411yescharacteristic, complemented
50#4798C411yescharacteristic, complemented
51#4795C411yescharacteristic, complemented
52#4787C411yescharacteristic, complemented
53#4786C411yescharacteristic, complemented
54#4767C411yescharacteristic, complemented
55#4762C411yescharacteristic, complemented
56#4729—21no—
57#4729—21no—
58#67⋊C8—21no—
59#67⋊C8—21no—
60#4708—21no—
61#4707—21no—
62#4689—21no—
63C4×D3×C8—21no—
64C3×#339C2211yescharacteristic
65C3×#336C2211yescharacteristic
66#4558C2211yescharacteristic
67#4552C2211yescharacteristic
68#4550C2211yescharacteristic
69#4532C2211yescharacteristic
70#3035—31no—
71C2×#444—31no—
72C2×#444—31no—
73#2931—31no—
74C4×#131—31no—
75#1980—31no—
76#1950—31no—
77#1929—31no—
78#1929D311yescharacteristic, complemented
79#1876—31no—
80#1876—31no—
81#1806—31no—
82#1770—31no—
83#1765—31no—
84#1765—31no—
85C2×C3×#41C2311yescharacteristic
86C2×#235C2311yescharacteristic
87C2×#235C2311yescharacteristic
88C2×C3×M16C2311yescharacteristic
89C2×C3×M16C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C22×C3×C8C2311yescharacteristic
92C3×#117C2311yescharacteristic
93C2×C3×C42C2311yescharacteristic
94#950—22no—
95#950—22no—
96#948—22no—
97#948—22no—
98#947C2×C411yescharacteristic
99#944C2×C411yescharacteristic
100C2×#216C2×C411yescharacteristic
101C2×#215C2×C411yescharacteristic
102#940C2×C411yescharacteristic
103#939—21no—
104#939—21no—
105#936C2×C411yescharacteristic
106C2×#214C2×C411yescharacteristic
107C2×#213C2×C411yescharacteristic
108C4×#67—21no—
109C4×#67—21no—
110C2×Dic3⋊C4—21no—
111C2×C4×Dic3C2311yescharacteristic
112C2×C4×Dic3C2311yescharacteristic
113C2×#208—21no—
114C2×#208C2311yescharacteristic
115C2×#208C2311yescharacteristic
116C22×C3⋊C8—21no—
117C22×C3⋊C8C2311yescharacteristic
118C22×C3⋊C8C2311yescharacteristic
119#907—22no—
120#907—22no—
121#907—22no—
122#907D414yescomplemented
123C2×Dic12C2×C411yescharacteristic
124#904—22no—
125#904—22no—
126C2×D24C2×C411yescharacteristic
127C2×#204C2×C411yescharacteristic
128C2×#204C2×C411yescharacteristic
129#901—22no—
130#901—22no—
131C2×ΓL(1,𝔽25)—21no—
132C2×ΓL(1,𝔽25)—21no—
133C2×ΓL(1,𝔽25)—21no—
134C2×D3×C8—21no—
135C2×D3×C8—21no—
136C2×D3×C8—21no—
137#893C2×C411yescharacteristic
138#893C2×C411yescharacteristic
139#887C2×C411yescharacteristic
140#887C2×C411yescharacteristic
141#67⋊C4—21no—
142#67⋊C4—21no—
143#872—21no—
144C42×D3—21no—
145C3×#108—22no—
146C3×#104—22no—
147C3×#103C2×C411yescharacteristic
148C3×#103C2×C411yescharacteristic
149C3×#102C2×C411yescharacteristic
150C3×#102C2×C411yescharacteristic
151C3×C22⋊C8—21no—
152C3×C22⋊C8—21no—
153C3×#97—21no—
154C3×C4×C8—21no—
155#837—22no—
156C3⋊#95—21no—
157#825—22no—
158#825—22no—
159#822—22no—
160(C2×D3)⋊C8—21no—
161(C2×D3)⋊C8—21no—
162#815—21no—
163#815—22no—
164Dic3⋊C8—21no—
165Dic3⋊C8—21no—
166Dic3⋊C8C2×C411yescharacteristic
167Dic3⋊C8C2×C411yescharacteristic
168Dic3⋊C8C2×C411yescharacteristic
169Dic3⋊C8C2×C411yescharacteristic
170C8×Dic3—21no—
171C8×Dic3D411yescharacteristic
172C8×Dic3D411yescharacteristic
173C8×Dic3D411yescharacteristic
174C8×Dic3D411yescharacteristic
175#810C2×C411yescharacteristic
176#810C2×C411yescharacteristic
177#809C2×C411yescharacteristic
178#809C2×C411yescharacteristic
179#805—22no—
180#805—22no—
181#803—22no—
182#803—21no—
183C4×C3⋊C8—21no—
184C2×#135—31no—
185C2×#135—31no—
186C2×#131—31no—
187C2×#131—31no—
188C2×#131—31no—
189C2×#131—31no—
190#532—31no—
191C4×#41—31no—
192#464—31no—
193#464—31no—
194#463—31no—
195#463—31no—
196#462—31no—
197#461—31no—
198#460—31no—
199#459—31no—
200#444—64no—
201#444—64no—
202#436—61no—
203#436—61no—
204C8×D4—61no—
205C8×D4—61no—
206C2×#108—31no—
207C2×#108C2×D311yescharacteristic
208#423—31no—
209C2×C4⋊C8—31no—
210C2×#104—31no—
211C2×#104—31no—
212C2×#104—31no—
213C2×#104—31no—
214C2×#104—31no—
215C2×#104C2×D311yescharacteristic
216#416—31no—
217#416C2×D311yescharacteristic
218#408—31no—
219#408C2×D311yescharacteristic
220#405—31no—
221#405—61no—
222#405—61no—
223#405C2×D311yescharacteristic
224C4×M16—31no—
225C4×M16—61no—
226C2×#97—31no—
227C2×#97—31no—
228C2×C4×C8—31no—
229C2×C4×C8—61no—
230C4×C4⋊C4—31no—
231#341—31no—
232#341—31no—
233#339—31no—
234#339C2×D311yescharacteristic
235#336—31no—
236#336C2×D311yescharacteristic
237C3×#41—21no—
238C3×#41—21no—
239C3×#41—21no—
240C3×#41—21no—
241C2×C3×Q8C22×C411yescharacteristic
242C2×C3×D4—21no—
243C2×C3×D4C22×C411yescharacteristic
244C22×C3×C4—21no—
245C22×C3×C4—21no—
246C22×C3×C4C2411yescharacteristic
247C2×#67—21no—
248C2×#67—21no—
249C2×#67—21no—
250C2×#67—21no—
251C22×Dic3—21no—
252C22×Dic3#4111yescharacteristic
253C22×Dic3#4111yescharacteristic
254#235—21no—
255#235—21no—
256#235—21no—
257#235—21no—
258#235—21no—
259#235—21no—
260#235C2×D412yes—
261#235#4112yes—
262C2×D12C22×C411yescharacteristic
263C2×D12C22×C411yescharacteristic
264C2×C4×D3—21no—
265C2×C4×D3—21no—
266C2×C4×D3—21no—
267C2×C4×D3—21no—
268C2×Dic6C22×C411yescharacteristic
269C2×Dic6C22×C411yescharacteristic
270C3×M16—21no—
271C3×M16—21no—
272C3×M16—21no—
273C3×M16C2×D412yes—
274C2×C3×C8—21no—
275C2×C3×C8—21no—
276C2×C3×C8—21no—
277C2×C3×C8—21no—
278C2×C3×C8—21no—
279C2×C3×C8—21no—
280C2×C3×C8C22×C411yescharacteristic
281C2×C3×C8C22×C411yescharacteristic
282C2×C3×C8C2×D411yescharacteristic
283C2×C3×C8C2×D411yescharacteristic
284C3×C4⋊C4C22×C411yescharacteristic
285C3×C4⋊C4C22×C411yescharacteristic
286C3×C22⋊C4—21no—
287C3×C42—21no—
288C3×C42—21no—
289C3×C42—21no—
290#217—21no—
291#217—21no—
292#216—22no—
293#215—22no—
294#214—22no—
295#213—22no—
296(C2×D3)⋊C4—21no—
297(C2×D3)⋊C4—21no—
298(C2×D3)⋊C4—21no—
299(C2×D3)⋊C4—21no—
300Dic3⋊C4—21no—
301Dic3⋊C4—21no—
302Dic3⋊C4—21no—
303Dic3⋊C4—21no—
304Dic3⋊C4—42no—
305C4×Dic3—21no—
306C4×Dic3—21no—
307C4×Dic3—21no—
308C4×Dic3—21no—
309C4×Dic3C22×C411yescharacteristic
310C4×Dic3C22×C411yescharacteristic
311C4×Dic3C2×D411yescharacteristic
312C4×Dic3C2×D411yescharacteristic
313#208—21no—
314#208—21no—
315#208—21no—
316#208—42no—
317#208#4112yes—
318C2×C3⋊C8—21no—
319C2×C3⋊C8—21no—
320C2×C3⋊C8—21no—
321C2×C3⋊C8—21no—
322C2×C3⋊C8—42no—
323C2×C3⋊C8C22×C411yescharacteristic
324C2×C3⋊C8C22×C411yescharacteristic
325C2×C3⋊C8C2×D411yescharacteristic
326C2×C3⋊C8C2×D411yescharacteristic
327C2×C3⋊C8C2×D412yes—
328C2×C3⋊C8#4112yes—
329Dic12—22no—
330D24—22no—
331#204—22no—
332#204—22no—
333ΓL(1,𝔽25)—24no—
334ΓL(1,𝔽25)—24no—
335ΓL(1,𝔽25)—42no—
336D3×C8—24no—
337D3×C8—24no—
338D3×C8—42no—
339C2×#41—31no—
340C2×#41—31no—
341C2×#41C22×D311yescharacteristic
342#135—62no—
343#135—62no—
344#135—62no—
345#135—62no—
346C2×Q16—31no—
347C2×Q16—31no—
348C2×SD16—31no—
349C2×SD16—31no—
350C2×SD16—31no—
351C2×SD16—31no—
352C2×D8—31no—
353C2×D8—31no—
354#131—34no—
355#131—62no—
356#131—62no—
357#131—62no—
358#131—62no—
359#131—62no—
360#131—62no—
361#131—62no—
362C2×M16—31no—
363C2×M16—31no—
364C2×M16—61no—
365C2×M16—61no—
366C2×M16—61no—
367C2×M16—61no—
368C2×M16C22×D311yescharacteristic
369C2×M16C22×D311yescharacteristic
370C22×C8—31no—
371C22×C8—31no—
372C22×C8—61no—
373C22×C8—61no—
374C22×C8—61no—
375C22×C8—61no—
376C22×C8C22×D311yescharacteristic
377C22×C8C22×D311yescharacteristic
378C4⋊Q8—31no—
379#127—31no—
380#124—31no—
381#124—31no—
382#121—61no—
383#121—61no—
384C4×Q8—31no—
385C4×Q8—31no—
386C4×D4—31no—
387C4×D4—31no—
388C4×D4—61no—
389C4×D4—61no—
390C4×D4—61no—
391C4×D4—61no—
392#117—61no—
393#117C22×D311yescharacteristic
394C2×C4⋊C4—61no—
395C2×C42—31no—
396C2×C42—31no—
397C2×C42—61no—
398C2×C42C22×D311yescharacteristic
399#108—22no—
400#108—62no—
401C4⋊C8—31no—
402C4⋊C8—31no—
403C4⋊C8—31no—
404C4⋊C8—31no—
405C4⋊C8—61no—
406C4⋊C8—61no—
407#104—22no—
408#104—62no—
409#104—62no—
410#104—62no—
411#104—62no—
412#104—62no—
413#103—31no—
414#103—31no—
415#103C4×D311yescharacteristic
416#103C4×D311yescharacteristic
417#102—31no—
418#102—31no—
419#102C4×D311yescharacteristic
420#102C4×D311yescharacteristic
421C22⋊C8—21no—
422C22⋊C8—21no—
423C22⋊C8—61no—
424C22⋊C8—61no—
425#97—21no—
426#97—62no—
427#97—61no—
428#97—61no—
429#97—62no—
430C4×C8—21no—
431C4×C8—31no—
432C4×C8—31no—
433C4×C8—31no—
434C4×C8—31no—
435C4×C8—61no—
436C4×C8—61no—
437#95—61no—
438C23×C3—21no—
439C23×C3C2×#4111yescharacteristic
440C22×D3—21no—
441C22×D3—21no—
442C3×Q8—21no—
443C3×Q8—21no—
444C3×D4—21no—
445C3×D4—21no—
446C3×D4—41no—
447C3×D4—41no—
448C2×C3×C4—21no—
449C2×C3×C4—21no—
450C2×C3×C4—21no—
451C2×C3×C4—41no—
452C2×C3×C4—41no—
453C2×C3×C4—41no—
454C2×C3×C4—41no—
455C2×C3×C4—41no—
456C2×C3×C4C23×C411yescharacteristic
457C2×C3×C4C22×D411yescharacteristic
458C2×C3×C4C22×D411yescharacteristic
459C2×C3×C4C2×#4111yescharacteristic
460C2×C3×C4C2×#4111yescharacteristic
461C2×C3×C4C2×#4111yescharacteristic
462#67—22no—
463#67—22no—
464#67—42no—
465#67—41no—
466#67—41no—
467#67—42no—
468C2×Dic3—21no—
469C2×Dic3—22no—
470C2×Dic3—21no—
471C2×Dic3—41no—
472C2×Dic3—41no—
473C2×Dic3—41no—
474C2×Dic3—41no—
475C2×Dic3C4×D411yescharacteristic
476C2×Dic3C4×D411yescharacteristic
477C2×Dic3C4×D411yescharacteristic
478C2×Dic3C4×D411yescharacteristic
479D12—21no—
480D12—21no—
481D12—21no—
482D12C4×D412yes—
483C4×D3—22no—
484C4×D3—22no—
485C4×D3—42no—
486C4×D3—41no—
487C4×D3—41no—
488C4×D3—42no—
489Dic6—21no—
490Dic6—21no—
491Dic6—21no—
492Dic6C4×D412yes—
493C3×C8—21no—
494C3×C8—21no—
495C3×C8—22no—
496C3×C8—21no—
497C3×C8—21no—
498C3×C8—41no—
499C3⋊C8—21no—
500C3⋊C8—21no—
501C3⋊C8—22no—
502C3⋊C8—41no—
503C3⋊C8#12112yes—
504C3⋊C8#12112yes—
505#41—21no—
506#41—21no—
507#41—21no—
508#41—21no—
509#41—32no—
510#41—32no—
511#41—61no—
512#41—61no—
513#41—61no—
514#41—61no—
515#41—61no—
516#41—61no—
517C2×Q8—31no—
518C2×Q8—31no—
519C2×Q8C2×C4×D311yescharacteristic
520C2×D4—21no—
521C2×D4—31no—
522C2×D4—31no—
523C2×D4—61no—
524C2×D4—61no—
525C2×D4—61no—
526C2×D4—61no—
527C2×D4C2×C4×D311yescharacteristic
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—31no—
531C22×C4—31no—
532C22×C4—61no—
533C22×C4—61no—
534C22×C4—61no—
535C22×C4—61no—
536C22×C4—61no—
537C22×C4C23×D311yescharacteristic
538Q16—62no—
539Q16—62no—
540SD16—62no—
541SD16—62no—
542SD16—62no—
543SD16—62no—
544D8—62no—
545D8—62no—
546M16—21no—
547M16—21no—
548M16—21no—
549M16—32no—
550M16—64no—
551M16—64no—
552M16—61no—
553M16—61no—
554M16—61no—
555M16—122no—
556M16—122no—
557M16D3×D412yes—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—32no—
565C2×C8—31no—
566C2×C8—31no—
567C2×C8—32no—
568C2×C8—31no—
569C2×C8—31no—
570C2×C8—64no—
571C2×C8—64no—
572C2×C8—61no—
573C2×C8—61no—
574C2×C8—61no—
575C2×C8—61no—
576C2×C8—122no—
577C2×C8—122no—
578C2×C8C2×C4×D311yescharacteristic
579C2×C8C2×C4×D311yescharacteristic
580C2×C8D3×D411yescharacteristic
581C2×C8D3×D411yescharacteristic
582C4⋊C4—61no—
583C4⋊C4—61no—
584C4⋊C4—61no—
585C4⋊C4—61no—
586C4⋊C4—122no—
587C4⋊C4C2×C4×D311yescharacteristic
588C4⋊C4C2×C4×D311yescharacteristic
589C22⋊C4—21no—
590C22⋊C4—61no—
591C22⋊C4—61no—
592C22⋊C4—61no—
593C22⋊C4—61no—
594C22⋊C4—61no—
595C22⋊C4—61no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—31no—
600C42—31no—
601C42—31no—
602C42—31no—
603C42—61no—
604C42—61no—
605C42—61no—
606C42—61no—
607C22×C3—21no—
608C22×C3—21no—
609C22×C3—41no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3C2×C4×D411yescharacteristic
613C22×C3#52911yescharacteristic
614C22×C3#53211yescharacteristic
615C2×D3—22no—
616C2×D3—41no—
617C2×D3—41no—
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—41no—
621C3×C4—41no—
622C3×C4—41no—
623C3×C4—41no—
624C3×C4—81no—
625C3×C4C2×C4×D411yescharacteristic
626C3×C4C4×#4111yescharacteristic
627C3×C4C2×#12111yescharacteristic
628C3×C4#52511yescharacteristic
629Dic3—21no—
630Dic3—21no—
631Dic3—21no—
632Dic3—22no—
633Dic3—41no—
634Dic3—81no—
635Dic3#44412yescomplemented
636C23—21no—
637C23—61no—
638C23—61no—
639C23D3×#4111yescharacteristic
640Q8—21no—
641Q8—21no—
642Q8—32no—
643Q8—61no—
644Q8—61no—
645Q8—61no—
646D4—21no—
647D4—21no—
648D4—32no—
649D4—41no—
650D4—41no—
651D4—62no—
652D4—62no—
653D4—61no—
654D4—61no—
655D4—61no—
656D4—122no—
657D4—122no—
658D4—121no—
659D4—121no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—31no—
664C2×C4—31no—
665C2×C4—31no—
666C2×C4—31no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—62no—
673C2×C4—61no—
674C2×C4—62no—
675C2×C4—62no—
676C2×C4—61no—
677C2×C4—122no—
678C2×C4—122no—
679C2×C4—121no—
680C2×C4—121no—
681C2×C4—121no—
682C2×C4—121no—
683C2×C4—121no—
684C2×C4—121no—
685C2×C4C22×C4×D311yescharacteristic
686C2×C4C2×D3×D411yescharacteristic
687C2×C4C2×D3×D411yescharacteristic
688C2×C4D3×#4111yescharacteristic
689C2×C4D3×#4111yescharacteristic
690C2×C4D3×#4111yescharacteristic
691C8—21no—
692C8—21no—
693C8—21no—
694C8—21no—
695C8—22no—
696C8—32no—
697C8—32no—
698C8—41no—
699C8—62no—
700C8—61no—
701C8—61no—
702C8—121no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—81no—
706C2×C3C4×#12111yescharacteristic
707C2×C3C2×#44411yescharacteristic
708C2×C3#295511yescharacteristic
709D3—42no—
710D3—81no—
711C22—21no—
712C22—21no—
713C22—41no—
714C22—41no—
715C22—41no—
716C22—62no—
717C22—121no—
718C22—121no—
719C22—121no—
720C22—121no—
721C22—121no—
722C22C4×D3×D411yescharacteristic
723C22#566811yescharacteristic
724C22#570611yescharacteristic
725C4—32no—
726C4—41no—
727C4—41no—
728C4—41no—
729C4—61no—
730C4—61no—
731C4—61no—
732C4—62no—
733C4—81no—
734C4—121no—
735C4—241no—
736C4#552211yescharacteristic
737C4C4×D3×D411yescharacteristic
738C4D3×#12111yescharacteristic
739C4#565611yescharacteristic
740C3#2151811yescharacteristic, complemented, Sylow
741C2—21no—
742C2—21no—
743C2—81no—
744C2—122no—
745C2—241no—
746C2#7545211yescharacteristic
747C2#7988811yescharacteristic
748C2D3×#44411yescharacteristic
subgroupG/H
centerC2×C4C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1929C2
socleC22×C3C2×C4×D4
prime radical#78861C2
cosocleC22×C3×C4C24
hypercenter#1929D3
hypocenterC3#21518
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ #1929

Complements

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

NH ≅ G/Ntype
1. C2×#4894C2semidirect
2. C2×#4823C2semidirect
4. #78657C2semidirect
5. #78549C2semidirect
6. C3×#1929C2semidirect
7. #70695C2semidirect
8. #70358C2semidirect
9. #70290C2semidirect
10. #70011C2semidirect
11. #69900C2semidirect
12. #68770C2semidirect
13. #68740C2semidirect
14. #68695C2semidirect
15. #68652C2semidirect
48. #4819C4semidirect
49. #4818C4semidirect
50. #4798C4semidirect
51. #4795C4semidirect
52. #4787C4semidirect
53. #4786C4semidirect
54. #4767C4semidirect
55. #4762C4semidirect
78. #1929D3semidirect
122. #907D4semidirect
635. Dic3#444semidirect
740. C3#21518semidirect

Maximal subgroups

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

subgroupindex
C2×#48942
C2×#48232
#788612
#786572
#785492
C3×#19292
#706952
#703582
#702902
#700112
#699002
#687702
#687402
#686952
#686522
#215183