Finite Group Databasebeta

← #10801650

Subgroups — #10801650

Order 768.

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
1C2×#5197C211yesmaximal, characteristic, complemented
2#83900C211yesmaximal, characteristic
3#83782C211yesmaximal, characteristic, complemented
4C2×#4824C211yesmaximal, characteristic, complemented
5#78658C211yesmaximal, characteristic, complemented
6C3×#1876C211yesmaximal, characteristic, complemented
7#72010C211yesmaximal, characteristic, complemented
8#70369C211yesmaximal, characteristic, complemented
9#70358C211yesmaximal, characteristic, complemented
10#70355C211yesmaximal, characteristic, complemented
11#69996C211yesmaximal, characteristic, complemented
12#68927C211yesmaximal, characteristic, complemented
13#68920C211yesmaximal, characteristic, complemented
14#68653C211yesmaximal, characteristic, complemented
15#68646C211yesmaximal, characteristic, complemented
16#21519—31nomaximal, Sylow
17C2×C3×#135C2211yescharacteristic
18C2×C3×#131C2211yescharacteristic
19#5832C2211yescharacteristic
20Dic3×#41C2211yescharacteristic
21C2×#950C2211yescharacteristic
22C2×#948C2211yescharacteristic
23C2×#948C2211yescharacteristic
24C2×#907C2211yescharacteristic
25C2×C3×#104C2211yescharacteristic
26C2×C3×#104C2211yescharacteristic
27C3×#408C2211yescharacteristic
28C2×#837C2211yescharacteristic
29C2×#837C2211yescharacteristic
30#5233C2211yescharacteristic
31#5197—24no—
32#5185C411yescharacteristic, complemented
33#5182C411yescharacteristic, complemented
34#5166C411yescharacteristic, complemented
35#5165C411yescharacteristic, complemented
36#5163C411yescharacteristic, complemented
37#5162C411yescharacteristic, complemented
38#5153C411yescharacteristic, complemented
39#5150C411yescharacteristic, complemented
40C2×#825C2211yescharacteristic
41C2×#822C2211yescharacteristic
42#5122—21no—
43#5122C2211yescharacteristic
44#5118C2211yescharacteristic
45Dic3×M16—21no—
46Dic3×M16C2211yescharacteristic
47#5113C2211yescharacteristic
48#5110C2211yescharacteristic
49C2×#819C2211yescharacteristic
50#5101—21no—
51#5101C2211yescharacteristic
52C2×#815—21no—
53C2×#815C2211yescharacteristic
54C2×#815C2211yescharacteristic
55C2×Dic3⋊C8C2211yescharacteristic
56C4×Dic3⋊C4C2211yescharacteristic
57C2×#805C2211yescharacteristic
58C2×C4×C3⋊C8C2211yescharacteristic
59#4824—24no—
60#4730—21no—
61#4730—21no—
62#4728—21no—
63#4728—21no—
64C3×#341C2211yescharacteristic
65C3×#336C2211yescharacteristic
66#4558C2211yescharacteristic
67#4555C2211yescharacteristic
68#4550C2211yescharacteristic
69#4523C2211yescharacteristic
70#3035—31no—
71C2×#444—31no—
72C2×#443—31no—
73#2932—31no—
74#2875—31no—
75#1980—31no—
76#1950—31no—
77#1929—31no—
78#1929—31no—
79#1876—31no—
80#1876D311yescharacteristic, complemented
81#1806—31no—
82#1771—31no—
83#1765—31no—
84#1764—31no—
85C2×C3×#41C2311yescharacteristic
86C2×C3×#41C2311yescharacteristic
87C2×#235C2311yescharacteristic
88C3×#135—22no—
89C3×#135—22no—
90C2×C3×Q16C2×C411yescharacteristic
91C2×C3×SD16C2×C411yescharacteristic
92C2×C3×SD16C2×C411yescharacteristic
93C2×C3×D8C2×C411yescharacteristic
94C3×#131—22no—
95C3×#131—22no—
96C2×C3×M16—21no—
97C2×C3×M16C2311yescharacteristic
98C2×C3×M16C2311yescharacteristic
99C22×C3×C8—21no—
100C22×C3×C8C2311yescharacteristic
101C22×C3×C8C2311yescharacteristic
102C2×C3×C42C2311yescharacteristic
103#950—22no—
104#950—22no—
105#948—22no—
106#948—22no—
107#948—22no—
108#948D414yescomplemented
109#947C2×C411yescharacteristic
110Q8×Dic3C2×C411yescharacteristic
111Q8×Dic3C2×C411yescharacteristic
112#944C2×C411yescharacteristic
113C2×#216C2×C411yescharacteristic
114C2×#215C2×C411yescharacteristic
115#940C2×C411yescharacteristic
116#939—21no—
117#939—21no—
118#936C2×C411yescharacteristic
119D4×Dic3—21no—
120D4×Dic3—21no—
121D4×Dic3C2×C411yescharacteristic
122D4×Dic3C2×C411yescharacteristic
123C2×#214C2×C411yescharacteristic
124C2×#213C2×C411yescharacteristic
125C4×#67—21no—
126C4×#67—21no—
127#926—21no—
128#926C2311yescharacteristic
129C2×Dic3⋊C4—21no—
130C2×C4×Dic3—21no—
131C2×C4×Dic3C2311yescharacteristic
132C2×C4×Dic3C2311yescharacteristic
133C2×#208—21no—
134C2×#208—21no—
135C2×#208C2311yescharacteristic
136C2×#208C2311yescharacteristic
137C22×C3⋊C8—21no—
138C22×C3⋊C8—21no—
139C22×C3⋊C8C2311yescharacteristic
140C22×C3⋊C8C2311yescharacteristic
141#907—22no—
142#907—22no—
143C2×ΓL(1,𝔽25)—21no—
144C2×D3×C8—21no—
145C3×#104—22no—
146C3×#104—22no—
147C3×C22⋊C8—21no—
148C3×C22⋊C8—21no—
149#837—22no—
150#837—22no—
151#835C2×C411yescharacteristic
152#835C2×C411yescharacteristic
153#832C2×C411yescharacteristic
154#832C2×C411yescharacteristic
155C3⋊#95—21no—
156#825—22no—
157#822—22no—
158#821C2×C411yescharacteristic
159#821C2×C411yescharacteristic
160(C2×D3)⋊C8—21no—
161(C2×D3)⋊C8—21no—
162#819—22no—
163#816C2×C411yescharacteristic
164#816C2×C411yescharacteristic
165#815—21no—
166#815—21no—
167#815—21no—
168#815—22no—
169#815D411yescharacteristic
170#815D411yescharacteristic
171#815D411yescharacteristic
172#815D411yescharacteristic
173Dic3⋊C8—21no—
174Dic3⋊C8—21no—
175Dic3⋊C8C2×C411yescharacteristic
176Dic3⋊C8C2×C411yescharacteristic
177Dic3⋊C8C2×C411yescharacteristic
178Dic3⋊C8C2×C411yescharacteristic
179C8×Dic3—21no—
180C8×Dic3—21no—
181C8×Dic3—21no—
182#805—22no—
183C4×C3⋊C8—22no—
184C2×#135—31no—
185C2×#135C2×D311yescharacteristic
186C2×#131—31no—
187C2×#131—31no—
188C2×#131—31no—
189C2×#131C2×D311yescharacteristic
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#443—64no—
202#435—61no—
203#435—61no—
204#435—61no—
205#435—61no—
206C2×#108—31no—
207C2×#108—31no—
208#423—31no—
209C2×C4⋊C8—31no—
210C2×#104—31no—
211C2×#104—31no—
212C2×#104—31no—
213C2×#104—31no—
214C2×#104C2×D311yescharacteristic
215C2×#104C2×D311yescharacteristic
216#416—31no—
217#416—31no—
218#408—31no—
219#408C2×D311yescharacteristic
220#405—31no—
221#405—31no—
222#405—61no—
223#405—61no—
224C4×M16—31no—
225C4×M16—61no—
226C2×#97—31no—
227C2×#97—31no—
228C2×#97—61no—
229C2×C4×C8—31no—
230C4×C4⋊C4—31no—
231#341—31no—
232#341C2×D311yescharacteristic
233#339—31no—
234#339—31no—
235#336—31no—
236#336C2×D311yescharacteristic
237C3×#41—21no—
238C3×#41—21no—
239C3×#41—21no—
240C3×#41—21no—
241C3×#41—21no—
242C3×#41—21no—
243C3×#41C2×D412yes—
244C3×#41#4112yes—
245C2×C3×Q8C22×C411yescharacteristic
246C2×C3×Q8C22×C411yescharacteristic
247C2×C3×D4—21no—
248C2×C3×D4—21no—
249C2×C3×D4C22×C411yescharacteristic
250C2×C3×D4C22×C411yescharacteristic
251C22×C3×C4—21no—
252C22×C3×C4—21no—
253C22×C3×C4—21no—
254C22×C3×C4C2411yescharacteristic
255C2×#67—21no—
256C2×#67—21no—
257C2×#67—21no—
258C22×Dic3—21no—
259C22×Dic3—21no—
260C22×Dic3—21no—
261C22×Dic3#4111yescharacteristic
262C22×Dic3#4111yescharacteristic
263#235—21no—
264#235—21no—
265#235—21no—
266#235—21no—
267C2×D12C22×C411yescharacteristic
268C2×C4×D3—21no—
269C2×Dic6C22×C411yescharacteristic
270C3×Q16—22no—
271C3×SD16—22no—
272C3×SD16—22no—
273C3×D8—22no—
274C3×M16—24no—
275C3×M16—21no—
276C3×M16—21no—
277C3×M16—21no—
278C3×M16#4112yes—
279C2×C3×C8—24no—
280C2×C3×C8—21no—
281C2×C3×C8—21no—
282C2×C3×C8—21no—
283C2×C3×C8—21no—
284C2×C3×C8—21no—
285C2×C3×C8—21no—
286C2×C3×C8C22×C411yescharacteristic
287C2×C3×C8C22×C411yescharacteristic
288C2×C3×C8C2×D411yescharacteristic
289C2×C3×C8C2×D411yescharacteristic
290C3×C42—21no—
291C3×C42—21no—
292#217—21no—
293#217—21no—
294#217—21no—
295#217—21no—
296#217—21no—
297#216—22no—
298#215—22no—
299#214—22no—
300#213—22no—
301(C2×D3)⋊C4—21no—
302(C2×D3)⋊C4—21no—
303C4⋊Dic3—21no—
304C4⋊Dic3—21no—
305C4⋊Dic3C22×C411yescharacteristic
306C4⋊Dic3C22×C411yescharacteristic
307Dic3⋊C4—21no—
308Dic3⋊C4—21no—
309Dic3⋊C4—42no—
310C4×Dic3—21no—
311C4×Dic3—21no—
312C4×Dic3—21no—
313C4×Dic3—21no—
314C4×Dic3—21no—
315C4×Dic3C22×C411yescharacteristic
316C4×Dic3C22×C411yescharacteristic
317C4×Dic3C2×D411yescharacteristic
318C4×Dic3C2×D411yescharacteristic
319#208—21no—
320#208—24no—
321#208—21no—
322#208—21no—
323#208—42no—
324#208C2×D412yes—
325C2×C3⋊C8—21no—
326C2×C3⋊C8—21no—
327C2×C3⋊C8—21no—
328C2×C3⋊C8—24no—
329C2×C3⋊C8—21no—
330C2×C3⋊C8—42no—
331C2×C3⋊C8C22×C411yescharacteristic
332C2×C3⋊C8C22×C411yescharacteristic
333C2×C3⋊C8C2×D412yes—
334C2×C3⋊C8C2×D411yescharacteristic
335C2×C3⋊C8C2×D411yescharacteristic
336C2×C3⋊C8#4112yes—
337ΓL(1,𝔽25)—42no—
338D3×C8—42no—
339C2×#41—31no—
340C2×#41C22×D311yescharacteristic
341C2×#41C22×D311yescharacteristic
342#135—22no—
343#135—22no—
344#135—62no—
345#135—62no—
346C2×Q16—31no—
347C2×Q16C4×D311yescharacteristic
348C2×SD16—31no—
349C2×SD16—31no—
350C2×SD16C4×D311yescharacteristic
351C2×SD16C4×D311yescharacteristic
352C2×D8—31no—
353C2×D8C4×D311yescharacteristic
354#131—22no—
355#131—22no—
356#131—34no—
357#131—62no—
358#131—62no—
359#131—62no—
360#131—62no—
361#131—62no—
362C2×M16—21no—
363C2×M16—31no—
364C2×M16—31no—
365C2×M16—61no—
366C2×M16—61no—
367C2×M16—61no—
368C2×M16C22×D311yescharacteristic
369C2×M16C22×D311yescharacteristic
370C22×C8—21no—
371C22×C8—31no—
372C22×C8—31no—
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—31no—
393#117—61no—
394C2×C4⋊C4—61no—
395C2×C42—31no—
396C2×C42—31no—
397C2×C42—61no—
398C2×C42C22×D311yescharacteristic
399#108—62no—
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—22no—
409#104—62no—
410#104—62no—
411#104—62no—
412#104—62no—
413#103—31no—
414#103—31no—
415#103—31no—
416#103—31no—
417#102—31no—
418#102—31no—
419#102—31no—
420#102—31no—
421C22⋊C8—21no—
422C22⋊C8—21no—
423C22⋊C8—61no—
424C22⋊C8—61no—
425#97—31no—
426#97—31no—
427#97—31no—
428#97—31no—
429#97—61no—
430#97—62no—
431#97—61no—
432#97—61no—
433C4×C8—62no—
434C4×C8—61no—
435C4×C8—61no—
436C4×C8—61no—
437#95—61no—
438C23×C3—21no—
439C23×C3—21no—
440C23×C3C2×#4111yescharacteristic
441C22×D3—21no—
442C3×Q8—21no—
443C3×Q8—21no—
444C3×Q8—21no—
445C3×Q8C4×D412yes—
446C3×D4—22no—
447C3×D4—22no—
448C3×D4—21no—
449C3×D4—21no—
450C3×D4—21no—
451C3×D4—41no—
452C3×D4—41no—
453C3×D4C4×D412yes—
454C2×C3×C4—21no—
455C2×C3×C4—22no—
456C2×C3×C4—22no—
457C2×C3×C4—22no—
458C2×C3×C4—21no—
459C2×C3×C4—41no—
460C2×C3×C4—41no—
461C2×C3×C4—41no—
462C2×C3×C4—41no—
463C2×C3×C4C23×C411yescharacteristic
464C2×C3×C4C22×D411yescharacteristic
465C2×C3×C4C22×D411yescharacteristic
466C2×C3×C4C2×#4111yescharacteristic
467C2×C3×C4C2×#4111yescharacteristic
468C2×C3×C4C2×#4111yescharacteristic
469#67—41no—
470#67—41no—
471#67—81no—
472#67—81no—
473C2×Dic3—21no—
474C2×Dic3—21no—
475C2×Dic3—21no—
476C2×Dic3—41no—
477C2×Dic3—41no—
478C2×Dic3—41no—
479C2×Dic3—41no—
480C2×Dic3—41no—
481C2×Dic3—81no—
482C2×Dic3—81no—
483C2×Dic3C4×D411yescharacteristic
484C2×Dic3C4×D411yescharacteristic
485C2×Dic3C4×D411yescharacteristic
486C2×Dic3C4×D411yescharacteristic
487D12—21no—
488D12—21no—
489C4×D3—41no—
490C4×D3—41no—
491Dic6—21no—
492Dic6—21no—
493C3×C8—21no—
494C3×C8—21no—
495C3×C8—21no—
496C3×C8—22no—
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—21no—
510#41—21no—
511#41—61no—
512#41—61no—
513#41—61no—
514#41—61no—
515#41D3×D412yes—
516#41#23712yes—
517C2×Q8—31no—
518C2×Q8C2×C4×D311yescharacteristic
519C2×Q8C2×C4×D311yescharacteristic
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—31no—
523C2×D4—61no—
524C2×D4—61no—
525C2×D4—61no—
526C2×D4C2×C4×D311yescharacteristic
527C2×D4C2×C4×D311yescharacteristic
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—31no—
532C22×C4—31no—
533C22×C4—61no—
534C22×C4—61no—
535C22×C4—61no—
536C22×C4—61no—
537C22×C4C23×D311yescharacteristic
538Q16—22no—
539Q16—62no—
540SD16—22no—
541SD16—22no—
542SD16—62no—
543SD16—62no—
544D8—22no—
545D8—62no—
546M16—24no—
547M16—21no—
548M16—21no—
549M16—21no—
550M16—32no—
551M16—64no—
552M16—61no—
553M16—61no—
554M16—61no—
555M16—122no—
556M16—122no—
557M16#23712yes—
558C2×C8—24no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—32no—
566C2×C8—31no—
567C2×C8—31no—
568C2×C8—32no—
569C2×C8—31no—
570C2×C8—31no—
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—31no—
583C4⋊C4—31no—
584C4⋊C4—61no—
585C4⋊C4—61no—
586C4⋊C4—61no—
587C4⋊C4—61no—
588C4⋊C4—122no—
589C22⋊C4—61no—
590C22⋊C4—61no—
591C22⋊C4—61no—
592C22⋊C4—61no—
593C22⋊C4—61no—
594C22⋊C4—61no—
595C22⋊C4—61no—
596C42—21no—
597C42—21no—
598C42—31no—
599C42—31no—
600C42—31no—
601C42—31no—
602C42—61no—
603C42—61no—
604C42—61no—
605C42—61no—
606C42—61no—
607C22×C3—21no—
608C22×C3—21no—
609C22×C3—22no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3C2×C4×D411yescharacteristic
616C22×C3#52911yescharacteristic
617C22×C3#53211yescharacteristic
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—41no—
621C3×C4—22no—
622C3×C4—42no—
623C3×C4—41no—
624C3×C4C2×C4×D411yescharacteristic
625C3×C4C4×#4111yescharacteristic
626C3×C4C2×#12111yescharacteristic
627C3×C4#52511yescharacteristic
628Dic3—21no—
629Dic3—21no—
630Dic3—21no—
631Dic3—21no—
632Dic3—41no—
633Dic3—41no—
634Dic3—41no—
635Dic3—81no—
636C23—21no—
637C23—21no—
638C23—61no—
639C23D3×#4111yescharacteristic
640Q8—21no—
641Q8—21no—
642Q8—21no—
643Q8—61no—
644Q8—61no—
645Q8#67⋊C412yes—
646D4—22no—
647D4—22no—
648D4—21no—
649D4—21no—
650D4—21no—
651D4—41no—
652D4—41no—
653D4—61no—
654D4—61no—
655D4—121no—
656D4—121no—
657D4—241no—
658D4—241no—
659D4#67⋊C412yes—
660C2×C4—21no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—21no—
665C2×C4—31no—
666C2×C4—31no—
667C2×C4—31no—
668C2×C4—31no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—121no—
680C2×C4—121no—
681C2×C4—121no—
682C2×C4—121no—
683C2×C4—241no—
684C2×C4—241no—
685C2×C4C22×C4×D311yescharacteristic
686C2×C4C2×D3×D411yescharacteristic
687C2×C4C2×D3×D411yescharacteristic
688C2×C4C2×#23711yescharacteristic
689C2×C4C2×#23711yescharacteristic
690C2×C4D3×#4111yescharacteristic
691C8—21no—
692C8—21no—
693C8—21no—
694C8—22no—
695C8—21no—
696C8—32no—
697C8—32no—
698C8—41no—
699C8—61no—
700C8—61no—
701C8—62no—
702C8—121no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—42no—
706C2×C3—81no—
707C2×C3C4×#12111yescharacteristic
708C2×C3#295611yescharacteristic
709C2×C3#295711yescharacteristic
710D3—81no—
711C22—21no—
712C22—21no—
713C22—22no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—121no—
720C22—121no—
721C22—121no—
722C22C4×D3×D411yescharacteristic
723C22#559611yescharacteristic
724C22#564911yescharacteristic
725C4—22no—
726C4—42no—
727C4—41no—
728C4—61no—
729C4—61no—
730C4—61no—
731C4—61no—
732C4—121no—
733C4—121no—
734C4—121no—
735C4—241no—
736C4C2×#67⋊C411yescharacteristic
737C4C4×#23711yescharacteristic
738C4#558611yescharacteristic
739C4D3×#12111yescharacteristic
740C3#2151911yescharacteristic, complemented, Sylow
741C2—21no—
742C2—21no—
743C2—42no—
744C2—81no—
745C2—241no—
746C2#7466011yescharacteristic
747C2#7988911yescharacteristic
748C2#7989911yescharacteristic
subgroupG/H
centerC2×C4C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1876C2
socleC22×C3C2×C4×D4
prime radical#83900C2
cosocleC22×C3×C4C24
hypercenter#1876D3
hypocenterC3#21519
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ #1876

Complements

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

NH ≅ G/Ntype
1. C2×#5197C2semidirect
3. #83782C2semidirect
4. C2×#4824C2semidirect
5. #78658C2semidirect
6. C3×#1876C2semidirect
7. #72010C2semidirect
8. #70369C2semidirect
9. #70358C2semidirect
10. #70355C2semidirect
11. #69996C2semidirect
12. #68927C2semidirect
13. #68920C2semidirect
14. #68653C2semidirect
15. #68646C2semidirect
32. #5185C4semidirect
33. #5182C4semidirect
34. #5166C4semidirect
35. #5165C4semidirect
36. #5163C4semidirect
37. #5162C4semidirect
38. #5153C4semidirect
39. #5150C4semidirect
80. #1876D3semidirect
108. #948D4semidirect
740. C3#21519semidirect

Maximal subgroups

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

subgroupindex
C2×#51972
#839002
#837822
C2×#48242
#786582
C3×#18762
#720102
#703692
#703582
#703552
#699962
#689272
#689202
#686532
#686462
#215193