Finite Group Databasebeta

← #10834036

Subgroups — #10834036

Order 768.

1056 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#84044C211yesmaximal, characteristic
2C2×#5218C211yesmaximal, characteristic
3C2×#4720C211yesmaximal, characteristic, complemented
4#73951C211yesmaximal, characteristic, complemented
5C3×#1786C211yesmaximal, characteristic
6#70217C211yesmaximal, characteristic, complemented
7#70217C211yesmaximal, characteristic, complemented
8#70194C211yesmaximal, characteristic, complemented
9#70193C211yesmaximal, characteristic, complemented
10#70192C211yesmaximal, characteristic, complemented
11#70189C211yesmaximal, characteristic, complemented
12#70187C211yesmaximal, characteristic, complemented
13#70185C211yesmaximal, characteristic, complemented
14#69931C211yesmaximal, characteristic, complemented
15#69506C211yesmaximal, characteristic, complemented
16#24516—31nomaximal, Sylow
17C23×C3×D4C2211yescharacteristic
18C22×#214C2211yescharacteristic
19C22×#214C2211yescharacteristic
20C2×#926C2211yescharacteristic
21C2×#926C2211yescharacteristic
22C2×#924C2211yescharacteristic
23C2×C3×#102C2211yescharacteristic
24C2×C3×#102C2211yescharacteristic
25C2×C3×#102C2211yescharacteristic
26C2×C3×#102C2211yescharacteristic
27C2×C3×C22⋊C8C2211yescharacteristic
28C3×#380C2211yescharacteristic
29#5247—21no—
30#5247—21no—
31#5221—21no—
32#5221—21no—
33#5221C2211yescharacteristic
34#5221C2211yescharacteristic
35#5221C2211yescharacteristic
36#5221C2211yescharacteristic
37#5218—24no—
38C2×#832C2211yescharacteristic
39C2×#832C2211yescharacteristic
40C2×#830C2211yescharacteristic
41C2×#816C2211yescharacteristic, complemented
42C2×#816C2211yescharacteristic, complemented
43C2×#815C2211yescharacteristic, complemented
44C2×Dic3⋊C8C2211yescharacteristic, complemented
45C2×Dic3⋊C8C2211yescharacteristic, complemented
46C2×C8×Dic3C2211yescharacteristic, complemented
47#4984C2211yescharacteristic, complemented
48#4984C2211yescharacteristic, complemented
49#4973C2211yescharacteristic, complemented
50#4973C2211yescharacteristic, complemented
51C2×#808C2211yescharacteristic, complemented
52C2×#807C2211yescharacteristic, complemented
53#4953—21no—
54#4953—21no—
55#4720—24no—
56#4661—21no—
57#4659—21no—
58#4551C2211yescharacteristic, complemented
59#4551C2211yescharacteristic, complemented
60#4529C2211yescharacteristic, complemented
61#4529C2211yescharacteristic, complemented
62C2×#450—31no—
63C2×#433—31no—
64#2625—31no—
65#2309—31no—
66#2067—31no—
67#2065—31no—
68#2055—31no—
69#2055—31no—
70#1973—31no—
71#1968—31no—
72#1936—31no—
73#1934—31no—
74#1873—31no—
75#1854—31no—
76#1786D311yescharacteristic
77C25×C3—21no—
78C22×C3×D4—22no—
79C22×C3×D4—22no—
80C22×C3×D4—21no—
81C22×C3×D4—22no—
82C22×C3×D4—22no—
83C22×C3×D4—41no—
84C22×C3×D4—41no—
85C22×C3×D4C2311yescharacteristic
86C22×C3×D4C2311yescharacteristic
87C23×C3×C4C2311yescharacteristic
88C22×Dic6C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C2×C3×C4⋊C4C2311yescharacteristic
92C2×C3×C4⋊C4C2311yescharacteristic
93C2×C3×C22⋊C4—21no—
94C2×#217—21no—
95C2×#217—21no—
96C2×#217—21no—
97C2×#217—21no—
98C2×#217—21no—
99C2×#217—21no—
100C2×#217—21no—
101C2×#217—21no—
102C2×#217—21no—
103C2×#217—21no—
104C2×#217D411yescharacteristic
105C2×#217D411yescharacteristic
106C2×#214—22no—
107C2×#214—22no—
108C2×#214—22no—
109C2×#214—22no—
110C2×#214—41no—
111C2×#214—41no—
112#926—22no—
113#926—22no—
114#926—41no—
115#926—41no—
116C2×C4⋊Dic3—21no—
117C2×C4⋊Dic3—21no—
118C2×C4⋊Dic3D411yescharacteristic
119C2×C4⋊Dic3D411yescharacteristic
120C2×C4⋊Dic3C2311yescharacteristic
121C2×C4⋊Dic3C2311yescharacteristic
122C2×C4⋊Dic3C2311yescharacteristic
123#924—22no—
124#924—22no—
125C2×Dic3⋊C4—21no—
126C2×C4×Dic3—21no—
127C2×C4×Dic3C2311yescharacteristic
128C2×C4×Dic3C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131C3×#102—22no—
132C3×#102—22no—
133C3×#102—41no—
134C3×#102—41no—
135C3×C22⋊C8—22no—
136C3×#95—21no—
137#832—22no—
138#832—22no—
139C3⋊#95—21no—
140C3⋊#95—21no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144C3⋊#95—21no—
145#830D414yes—
146#816—41no—
147#816—41no—
148#815—22no—
149Dic3⋊C8—22no—
150Dic3⋊C8—22no—
151C8×Dic3—22no—
152#808—41no—
153#807—41no—
154C23×D4C2×D311yescharacteristic
155C22×SD16—31no—
156C22×SD16—31no—
157C2×C22⋊Q8—31no—
158C2×#117—31no—
159C2×#117—31no—
160#450—64no—
161#433—64no—
162C2×#107—31no—
163C2×#106—31no—
164C2×C4⋊C8—31no—
165C2×C4⋊C8—31no—
166C2×#103—31no—
167C2×#103—31no—
168C2×#102—31no—
169C2×#102—31no—
170C2×#102C2×D311yescharacteristic
171C2×#102C2×D311yescharacteristic
172C2×#102C2×D311yescharacteristic
173C2×#102C2×D311yescharacteristic
174C2×C22⋊C8—31no—
175C2×C22⋊C8C2×D311yescharacteristic
176C2×#97—31no—
177C2×C4×C8—31no—
178#400—61no—
179#398—61no—
180#397—61no—
181#397—61no—
182#391—31no—
183#391—31no—
184#390—31no—
185#390—31no—
186#390—31no—
187#390—31no—
188#390—61no—
189#390—61no—
190#389—31no—
191#389—31no—
192#380C2×D311yescharacteristic
193#379—61no—
194#379—61no—
195#340—31no—
196#340—31no—
197#340—31no—
198#340—31no—
199C24×C3—24no—
200C24×C3—21no—
201C24×C3—21no—
202C24×C3—42no—
203C24×C3—42no—
204C24×C3—81no—
205C24×C3—81no—
206C24×C3—81no—
207C24×C3—81no—
208C24×C3C2×D411yescharacteristic
209C2×C3×D4—24no—
210C2×C3×D4—21no—
211C2×C3×D4—21no—
212C2×C3×D4—21no—
213C2×C3×D4—21no—
214C2×C3×D4—21no—
215C2×C3×D4—21no—
216C2×C3×D4—21no—
217C2×C3×D4—21no—
218C2×C3×D4—21no—
219C2×C3×D4—21no—
220C2×C3×D4—44no—
221C2×C3×D4—44no—
222C2×C3×D4—44no—
223C2×C3×D4—44no—
224C2×C3×D4—42no—
225C2×C3×D4—42no—
226C2×C3×D4#4112yes—
227C2×C3×D4#4112yes—
228C22×C3×C4—21no—
229C22×C3×C4—21no—
230C22×C3×C4—21no—
231C22×C3×C4—21no—
232C22×C3×C4—21no—
233C22×C3×C4—21no—
234C22×C3×C4C2×D411yescharacteristic
235C22×C3×C4C2×D412yes—
236C22×C3×C4#4112yes—
237C22×C3×C4C2411yescharacteristic
238C22×Dic3—21no—
239C22×Dic3—21no—
240C22×Dic3—21no—
241C22×Dic3—21no—
242C22×Dic3C2×D411yescharacteristic
243C22×Dic3C2×D411yescharacteristic
244C22×Dic3C2×D411yescharacteristic
245C22×Dic3C2×D411yescharacteristic
246C2×Dic6—21no—
247C2×Dic6—21no—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×C3×C8—21no—
253C2×C3×C8—21no—
254C2×C3×C8—21no—
255C2×C3×C8—21no—
256C2×C3×C8—21no—
257C2×C3×C8—21no—
258C3×C4⋊C4—21no—
259C3×C4⋊C4—21no—
260C3×C4⋊C4—21no—
261C3×C4⋊C4—21no—
262C3×C22⋊C4—81no—
263#217—22no—
264#217—22no—
265#217—42no—
266#217—42no—
267#217—81no—
268#217—81no—
269#217—81no—
270#217—81no—
271#217—81no—
272#217—81no—
273#217—81no—
274#217—81no—
275#214—44no—
276#214—44no—
277C4⋊Dic3—22no—
278C4⋊Dic3—22no—
279C4⋊Dic3—21no—
280C4⋊Dic3—21no—
281C4⋊Dic3—21no—
282C4⋊Dic3—21no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3—81no—
286C4⋊Dic3—81no—
287Dic3⋊C4—42no—
288C4×Dic3—21no—
289C4×Dic3—21no—
290C4×Dic3—21no—
291C4×Dic3—21no—
292C4×Dic3—42no—
293C2×C3⋊C8—21no—
294C2×C3⋊C8—21no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
297C2×C3⋊C8C2×D412yes—
298C2×C3⋊C8C2×D412yes—
299C25—21no—
300C22×Q8—31no—
301C22×D4—22no—
302C22×D4—22no—
303C22×D4—22no—
304C22×D4—21no—
305C22×D4—22no—
306C22×D4—41no—
307C22×D4—41no—
308C22×D4C22×D311yescharacteristic
309C22×D4C22×D311yescharacteristic
310C23×C4C22×D311yescharacteristic
311C2×SD16—62no—
312C2×SD16—62no—
313C2×SD16—62no—
314C2×SD16—62no—
315C2×SD16—121no—
316C2×SD16—121no—
317C22×C8—31no—
318C22×C8—31no—
319C22×C8C22×D311yescharacteristic
320C22×C8C22×D311yescharacteristic
321C22⋊Q8—62no—
322C22⋊Q8—62no—
323#117—62no—
324#117—62no—
325#117—121no—
326#117—121no—
327C2×C4⋊C4—31no—
328C2×C4⋊C4—31no—
329C2×C4⋊C4—31no—
330C2×C4⋊C4—31no—
331C2×C4⋊C4—31no—
332C2×C4⋊C4—61no—
333C2×C4⋊C4—61no—
334C2×C4⋊C4—61no—
335C2×C4⋊C4C22×D311yescharacteristic
336C2×C4⋊C4C22×D311yescharacteristic
337C2×C22⋊C4—21no—
338C2×C22⋊C4—31no—
339C2×C22⋊C4—31no—
340C2×C22⋊C4—61no—
341C2×C22⋊C4—61no—
342C2×C22⋊C4—61no—
343C2×C22⋊C4—61no—
344C2×C22⋊C4—61no—
345C2×C22⋊C4—61no—
346C2×C22⋊C4—61no—
347C2×C22⋊C4—61no—
348C2×C22⋊C4—61no—
349C2×C22⋊C4—61no—
350C2×C42—31no—
351C2×C42—31no—
352C2×C42—61no—
353#107—121no—
354#106—121no—
355C4⋊C8—62no—
356C4⋊C8—62no—
357#103—121no—
358#103—121no—
359#102—22no—
360#102—22no—
361#102—41no—
362#102—41no—
363#102—62no—
364#102—62no—
365C22⋊C8—22no—
366C22⋊C8—34no—
367#97—62no—
368C4×C8—62no—
369#95—21no—
370#95—61no—
371#95—61no—
372#95—61no—
373#95—61no—
374#95—61no—
375#95—61no—
376C23×C3—21no—
377C23×C3—21no—
378C23×C3—21no—
379C23×C3—21no—
380C23×C3—21no—
381C23×C3—21no—
382C23×C3—22no—
383C23×C3—22no—
384C23×C3—48no—
385C23×C3—41no—
386C23×C3—41no—
387C23×C3—41no—
388C23×C3—41no—
389C23×C3—41no—
390C23×C3—41no—
391C23×C3—41no—
392C23×C3—41no—
393C23×C3—41no—
394C23×C3—41no—
395C23×C3—41no—
396C23×C3—41no—
397C23×C3—84no—
398C23×C3—84no—
399C23×C3—84no—
400C23×C3—84no—
401C23×C3—84no—
402C23×C3—84no—
403C23×C3#12112yes—
404C23×C3C22×D411yescharacteristic
405C3×D4—22no—
406C3×D4—22no—
407C3×D4—22no—
408C3×D4—22no—
409C3×D4—48no—
410C3×D4—41no—
411C3×D4—41no—
412C3×D4—41no—
413C3×D4—41no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—22no—
417C2×C3×C4—22no—
418C2×C3×C4—22no—
419C2×C3×C4—22no—
420C2×C3×C4—41no—
421C2×C3×C4—41no—
422C2×C3×C4—41no—
423C2×C3×C4—41no—
424C2×C3×C4—41no—
425C2×C3×C4—41no—
426C2×C3×C4#12112yes—
427C2×C3×C4C22×D411yescharacteristic
428C2×C3×C4C2×#4111yescharacteristic
429C2×C3×C4C2×#4111yescharacteristic
430C2×C3×C4C2×#4111yescharacteristic
431C2×C3×C4H(5,𝔽2)11yescharacteristic
432C2×C3×C4H(5,𝔽2)11yescharacteristic
433C2×Dic3—21no—
434C2×Dic3—21no—
435C2×Dic3—21no—
436C2×Dic3—21no—
437C2×Dic3—21no—
438C2×Dic3—21no—
439C2×Dic3—21no—
440C2×Dic3—21no—
441C2×Dic3—21no—
442C2×Dic3—21no—
443C2×Dic3—21no—
444C2×Dic3—21no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457Dic6—41no—
458Dic6—41no—
459Dic6—41no—
460Dic6—41no—
461C3×C8—41no—
462C3×C8—41no—
463C3⋊C8—22no—
464C3⋊C8—22no—
465C24—24no—
466C24—21no—
467C24—21no—
468C24—42no—
469C24—42no—
470C24—81no—
471C24—81no—
472C24—81no—
473C24—81no—
474C24D3×D411yescharacteristic
475C2×Q8—61no—
476C2×Q8—61no—
477C2×Q8—61no—
478C2×Q8—61no—
479C2×Q8—61no—
480C2×Q8—61no—
481C2×D4—24no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—44no—
493C2×D4—44no—
494C2×D4—44no—
495C2×D4—44no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4#23712yes—
499C2×D4#23712yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—31no—
507C22×C4—31no—
508C22×C4—31no—
509C22×C4—31no—
510C22×C4—61no—
511C22×C4—61no—
512C22×C4—61no—
513C22×C4—61no—
514C22×C4#23512yes—
515C22×C4D3×D411yescharacteristic
516C22×C4D3×D412yes—
517C22×C4C23×D311yescharacteristic
518SD16—124no—
519SD16—124no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—32no—
527C2×C8—32no—
528C2×C8—61no—
529C2×C8—61no—
530C2×C8—61no—
531C2×C8—61no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—62no—
537C4⋊C4—62no—
538C4⋊C4—61no—
539C4⋊C4—61no—
540C4⋊C4—61no—
541C4⋊C4—61no—
542C4⋊C4—61no—
543C4⋊C4—61no—
544C4⋊C4—122no—
545C4⋊C4—241no—
546C4⋊C4—241no—
547C22⋊C4—62no—
548C22⋊C4—62no—
549C22⋊C4—81no—
550C22⋊C4—122no—
551C22⋊C4—122no—
552C22⋊C4—241no—
553C22⋊C4—241no—
554C22⋊C4—241no—
555C22⋊C4—241no—
556C22⋊C4—241no—
557C22⋊C4—241no—
558C22⋊C4—241no—
559C22⋊C4—241no—
560C42—61no—
561C42—61no—
562C42—61no—
563C42—61no—
564C42—122no—
565C22×C3—22no—
566C22×C3—22no—
567C22×C3—22no—
568C22×C3—41no—
569C22×C3—41no—
570C22×C3—41no—
571C22×C3—41no—
572C22×C3—42no—
573C22×C3—42no—
574C22×C3—42no—
575C22×C3—42no—
576C22×C3—42no—
577C22×C3—42no—
578C22×C3—816no—
579C22×C3—81no—
580C22×C3—81no—
581C22×C3—81no—
582C22×C3—81no—
583C22×C3—81no—
584C22×C3—81no—
585C22×C3—81no—
586C22×C3—81no—
587C22×C3C2×#12111yescharacteristic
588C22×C3#52511yescharacteristic
589C22×C3#53511yescharacteristic
590C22×C3#57611yescharacteristic
591C22×C3#57711yescharacteristic
592C22×C3#57711yescharacteristic
593C22×C3#57711yescharacteristic
594C3×C4—22no—
595C3×C4—81no—
596C3×C4—81no—
597C3×C4#54611yescharacteristic
598C3×C4#54611yescharacteristic
599C3×C4#55111yescharacteristic
600C3×C4#55111yescharacteristic
601Dic3—41no—
602Dic3—41no—
603Dic3—41no—
604Dic3—41no—
605Dic3—81no—
606Dic3—81no—
607Dic3—81no—
608Dic3—81no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—22no—
616C23—22no—
617C23—48no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23—84no—
634C23—84no—
635C23—84no—
636C23#88412yes—
637C23C2×D3×D411yescharacteristic
638Q8—121no—
639Q8—121no—
640Q8—121no—
641Q8—121no—
642D4—22no—
643D4—22no—
644D4—22no—
645D4—22no—
646D4—48no—
647D4—41no—
648D4—41no—
649D4—41no—
650D4—41no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—61no—
664C2×C4—61no—
665C2×C4—61no—
666C2×C4—61no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—121no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—121no—
680C2×C4—121no—
681C2×C4—121no—
682C2×C4—121no—
683C2×C4—121no—
684C2×C4—121no—
685C2×C4—121no—
686C2×C4—121no—
687C2×C4#88412yes—
688C2×C4C2×#23511yescharacteristic
689C2×C4C2×D3×D411yescharacteristic
690C2×C4C2×#23711yescharacteristic
691C2×C4C2×#23711yescharacteristic
692C2×C4#100411yescharacteristic
693C2×C4#100411yescharacteristic
694C8—41no—
695C8—41no—
696C8—62no—
697C8—62no—
698C2×C3—42no—
699C2×C3—82no—
700C2×C3—82no—
701C2×C3#241111yescharacteristic
702C2×C3#305711yescharacteristic
703C2×C3#306211yescharacteristic
704C2×C3#311811yescharacteristic
705C2×C3#312311yescharacteristic
706C2×C3#322211yescharacteristic
707C2×C3#322411yescharacteristic
708C22—22no—
709C22—22no—
710C22—22no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—816no—
722C22—81no—
723C22—81no—
724C22—81no—
725C22—81no—
726C22—81no—
727C22—81no—
728C22—81no—
729C22—81no—
730C22C2×#88411yescharacteristic
731C22#558611yescharacteristic
732C22#559211yescharacteristic
733C22#575711yescharacteristic
734C22#576211yescharacteristic
735C22#577511yescharacteristic
736C22#577511yescharacteristic
737C4—22no—
738C4—81no—
739C4—81no—
740C4—121no—
741C4—121no—
742C4—121no—
743C4—121no—
744C4—241no—
745C4—241no—
746C4—241no—
747C4—241no—
748C4#549511yescharacteristic
749C4#549511yescharacteristic
750C4#559111yescharacteristic
751C4#559111yescharacteristic
752C3#2451611yescharacteristic, complemented, Sylow
753C2—42no—
754C2—82no—
755C2—82no—
756C2#7382511yescharacteristic
757C2#7875211yescharacteristic
758C2#7893111yescharacteristic
759C2#7999211yescharacteristic
760C2#7999911yescharacteristic
761C2#8013711yescharacteristic
762C2#8014211yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1786C2
socleC23×C3C22×D4
prime radicalC23×C3×D4C22
hypercenter#1786D3
hypocenterC3#24516
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1786

Complements

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

NH ≅ G/Ntype
3. C2×#4720C2semidirect
4. #73951C2semidirect
6. #70217C2semidirect
7. #70217C2semidirect
8. #70194C2semidirect
9. #70193C2semidirect
10. #70192C2semidirect
11. #70189C2semidirect
12. #70187C2semidirect
13. #70185C2semidirect
14. #69931C2semidirect
15. #69506C2semidirect
41. C2×#816C22semidirect
42. C2×#816C22semidirect
43. C2×#815C22semidirect
44. C2×Dic3⋊C8C22semidirect
45. C2×Dic3⋊C8C22semidirect
46. C2×C8×Dic3C22semidirect
47. #4984C22semidirect
48. #4984C22semidirect
49. #4973C22semidirect
50. #4973C22semidirect
51. C2×#808C22semidirect
52. C2×#807C22semidirect
58. #4551C22semidirect
59. #4551C22semidirect
60. #4529C22semidirect
61. #4529C22semidirect
752. C3#24516semidirect

Maximal subgroups

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

subgroupindex
#840442
C2×#52182
C2×#47202
#739512
C3×#17862
#702172
#701942
#701932
#701922
#701892
#701872
#701852
#699312
#695062
#245163