Finite Group Databasebeta

← #10834038

Subgroups — #10834038

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#82787C211yesmaximal, characteristic, complemented
2C2×#5046C211yesmaximal, characteristic
3#82269C211yesmaximal, characteristic
4C2×#4720C211yesmaximal, characteristic, complemented
5C3×#1873C211yesmaximal, characteristic, complemented
6#71576C211yesmaximal, characteristic, complemented
7#70280C211yesmaximal, characteristic, complemented
8#70280C211yesmaximal, characteristic, complemented
9#70260C211yesmaximal, characteristic, complemented
10#70257C211yesmaximal, characteristic, complemented
11#69959C211yesmaximal, characteristic
12#68901C211yesmaximal, characteristic, complemented
13#68900C211yesmaximal, characteristic, complemented
14#68856C211yesmaximal, characteristic, complemented
15#68852C211yesmaximal, characteristic, complemented
16#24516—31nomaximal, Sylow
17C23×D12C2211yescharacteristic
18C2×C3×C22⋊Q8C2211yescharacteristic
19C2×C3×#117C2211yescharacteristic
20C22×#215C2211yescharacteristic
21C22×#215C2211yescharacteristic
22C2×#926C2211yescharacteristic
23C2×C3×#103C2211yescharacteristic, complemented
24C2×C3×#103C2211yescharacteristic, complemented
25C2×C3×C22⋊C8C2211yescharacteristic
26#5229C2211yescharacteristic, complemented
27#5229C2211yescharacteristic, complemented
28#5212C2211yescharacteristic
29C2×#830C2211yescharacteristic
30C2×#821C2211yescharacteristic
31C2×#821C2211yescharacteristic
32C2×#821C2211yescharacteristic
33C2×#821C2211yescharacteristic
34C2×#815C2211yescharacteristic, complemented
35C2×Dic3⋊C8C2211yescharacteristic, complemented
36C2×Dic3⋊C8C2211yescharacteristic, complemented
37C2×C8×Dic3C2211yescharacteristic, complemented
38#5046—24no—
39#4988C2211yescharacteristic
40#4988C2211yescharacteristic
41#4988C2211yescharacteristic
42#4988C2211yescharacteristic
43#4986—21no—
44#4981—21no—
45#4972C2211yescharacteristic, complemented
46#4972C2211yescharacteristic, complemented
47C2×#809C2211yescharacteristic
48C2×#809C2211yescharacteristic
49C2×#808C2211yescharacteristic, complemented
50C2×#807C2211yescharacteristic, complemented
51#4955—21no—
52#4955—21no—
53#4952—21no—
54#4952—21no—
55#4939—21no—
56#4939—21no—
57#4720—24no—
58C3×#340C2211yescharacteristic, complemented
59C3×#340C2211yescharacteristic, 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#1873D311yescharacteristic, complemented
75#1854—31no—
76#1786—31no—
77C24×D3—21no—
78C22×C3×Q8C2311yescharacteristic
79C23×C3×C4C2311yescharacteristic
80C22×D12—21no—
81C22×D12—22no—
82C22×D12—22no—
83C22×D12—22no—
84C22×D12—22no—
85C22×D12—41no—
86C22×D12—41no—
87C22×D12C2311yescharacteristic
88C22×D12C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C3×C22⋊Q8—22no—
92C3×C22⋊Q8—22no—
93C3×#117—41no—
94C3×#117—41no—
95C2×C3×C4⋊C4—21no—
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C22⋊C4—21no—
100C2×C3×C22⋊C4—21no—
101C2×C3×C42—21no—
102C2×#217—21no—
103C2×#217D411yescharacteristic
104C2×#217D411yescharacteristic
105C2×#215—22no—
106C2×#215—22no—
107C2×#215—22no—
108C2×#215—22no—
109C2×#215—41no—
110C2×#215—41no—
111C2×(C2×D3)⋊C4—21no—
112C2×(C2×D3)⋊C4—21no—
113C2×(C2×D3)⋊C4—21no—
114C2×(C2×D3)⋊C4—21no—
115C2×(C2×D3)⋊C4—21no—
116C2×(C2×D3)⋊C4—21no—
117C2×(C2×D3)⋊C4—21no—
118C2×(C2×D3)⋊C4—21no—
119#926—22no—
120#926—22no—
121C2×C4⋊Dic3D411yescharacteristic
122C2×C4⋊Dic3D411yescharacteristic
123C2×C4⋊Dic3C2311yescharacteristic
124C2×C4⋊Dic3C2311yescharacteristic
125C2×Dic3⋊C4—21no—
126C2×Dic3⋊C4—21no—
127C2×C4×Dic3C2311yescharacteristic
128C2×C4×Dic3C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131C3×#103—41no—
132C3×#103—41no—
133C3×C22⋊C8—22no—
134C3⋊#95—21no—
135C3⋊#95—21no—
136C3⋊#95—21no—
137C3⋊#95—21no—
138C3⋊#95—21no—
139C3⋊#95—21no—
140C3⋊#95—21no—
141#830D414yes—
142#821—22no—
143#821—22no—
144#821—41no—
145#821—41no—
146#815—22no—
147Dic3⋊C8—22no—
148Dic3⋊C8—22no—
149C8×Dic3—22no—
150#809—22no—
151#809—22no—
152#808—41no—
153#807—41no—
154C23×D4—31no—
155C22×SD16—31no—
156C22×SD16—31no—
157C2×C22⋊Q8C2×D311yescharacteristic
158C2×#117—31no—
159C2×#117C2×D311yescharacteristic
160#450—64no—
161#433—64no—
162C2×#107—31no—
163C2×#106—31no—
164C2×C4⋊C8—31no—
165C2×C4⋊C8—31no—
166C2×#103C2×D311yescharacteristic, complemented
167C2×#103C2×D311yescharacteristic, complemented
168C2×#102—31no—
169C2×#102—31no—
170C2×#102—31no—
171C2×#102—31no—
172C2×#102—31no—
173C2×#102—31no—
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#380—31no—
193#379—61no—
194#379—61no—
195#340—31no—
196#340—31no—
197#340C2×D311yescharacteristic, complemented
198#340C2×D311yescharacteristic, complemented
199C24×C3C2×D411yescharacteristic
200C23×D3—21no—
201C23×D3—21no—
202C23×D3—24no—
203C23×D3—42no—
204C23×D3—42no—
205C23×D3—81no—
206C23×D3—81no—
207C23×D3—81no—
208C23×D3—81no—
209C2×C3×Q8—21no—
210C2×C3×Q8—21no—
211C2×C3×Q8—21no—
212C2×C3×Q8—21no—
213C2×C3×Q8—21no—
214C2×C3×Q8—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2×D412yes—
225C22×C3×C4#4112yes—
226C22×C3×C4C2411yescharacteristic
227C22×Dic3—21no—
228C22×Dic3—21no—
229C22×Dic3C2×D411yescharacteristic
230C22×Dic3C2×D411yescharacteristic
231C22×Dic3C2×D411yescharacteristic
232C22×Dic3C2×D411yescharacteristic
233C2×D12—21no—
234C2×D12—21no—
235C2×D12—21no—
236C2×D12—21no—
237C2×D12—21no—
238C2×D12—21no—
239C2×D12—21no—
240C2×D12—21no—
241C2×D12—24no—
242C2×D12—21no—
243C2×D12—21no—
244C2×D12—44no—
245C2×D12—44no—
246C2×D12—44no—
247C2×D12—44no—
248C2×D12—42no—
249C2×D12—42no—
250C2×D12#4112yes—
251C2×D12#4112yes—
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×C4⋊C4—21no—
263C3×C4⋊C4—21no—
264C3×C4⋊C4—42no—
265C3×C22⋊C4—42no—
266C3×C22⋊C4—42no—
267C3×C42—42no—
268#217—22no—
269#217—22no—
270#217—81no—
271#215—44no—
272#215—44no—
273(C2×D3)⋊C4—81no—
274(C2×D3)⋊C4—81no—
275(C2×D3)⋊C4—81no—
276(C2×D3)⋊C4—81no—
277(C2×D3)⋊C4—81no—
278(C2×D3)⋊C4—81no—
279(C2×D3)⋊C4—81no—
280(C2×D3)⋊C4—81no—
281C4⋊Dic3—22no—
282C4⋊Dic3—22no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3—21no—
286C4⋊Dic3—21no—
287Dic3⋊C4—81no—
288Dic3⋊C4—81no—
289C4×Dic3—21no—
290C4×Dic3—21no—
291C4×Dic3—21no—
292C4×Dic3—21no—
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—61no—
300C22×Q8C22×D311yescharacteristic
301C22×D4—31no—
302C22×D4—31no—
303C22×D4—62no—
304C22×D4—62no—
305C22×D4—62no—
306C22×D4—61no—
307C22×D4—62no—
308C22×D4—121no—
309C22×D4—121no—
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—22no—
322C22⋊Q8—22no—
323#117—41no—
324#117—41no—
325#117—62no—
326#117—62no—
327C2×C4⋊C4—21no—
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⋊C4C22×D311yescharacteristic
335C2×C4⋊C4C22×D311yescharacteristic
336C2×C4⋊C4C22×D311yescharacteristic
337C2×C22⋊C4—21no—
338C2×C22⋊C4—21no—
339C2×C22⋊C4—31no—
340C2×C22⋊C4—31no—
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—21no—
351C2×C42—31no—
352C2×C42—31no—
353#107—121no—
354#106—121no—
355C4⋊C8—62no—
356C4⋊C8—62no—
357#103—41no—
358#103—41no—
359#102—62no—
360#102—62no—
361#102—62no—
362#102—62no—
363#102—121no—
364#102—121no—
365C22⋊C8—22no—
366C22⋊C8—34no—
367#97—62no—
368C4×C8—62no—
369#95—61no—
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#12112yes—
383C23×C3C22×D411yescharacteristic
384C22×D3—22no—
385C22×D3—22no—
386C22×D3—48no—
387C22×D3—41no—
388C22×D3—41no—
389C22×D3—41no—
390C22×D3—41no—
391C22×D3—41no—
392C22×D3—41no—
393C22×D3—41no—
394C22×D3—41no—
395C22×D3—41no—
396C22×D3—41no—
397C22×D3—41no—
398C22×D3—41no—
399C22×D3—84no—
400C22×D3—84no—
401C22×D3—84no—
402C22×D3—84no—
403C22×D3—84no—
404C22×D3—84no—
405C3×Q8—41no—
406C3×Q8—41no—
407C3×Q8—41no—
408C3×Q8—41no—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—22no—
412C2×C3×C4—22no—
413C2×C3×C4—22no—
414C2×C3×C4—22no—
415C2×C3×C4—41no—
416C2×C3×C4—41no—
417C2×C3×C4—41no—
418C2×C3×C4—41no—
419C2×C3×C4—41no—
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—41no—
427C2×C3×C4#12112yes—
428C2×C3×C4C22×D411yescharacteristic
429C2×C3×C4C2×#4111yescharacteristic
430C2×C3×C4C2×#4111yescharacteristic
431C2×C3×C4C2×#4111yescharacteristic
432C2×C3×C4H(5,𝔽2)11yescharacteristic
433C2×C3×C4H(5,𝔽2)11yescharacteristic
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—21no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451C2×Dic3—41no—
452D12—22no—
453D12—22no—
454D12—22no—
455D12—22no—
456D12—48no—
457D12—41no—
458D12—41no—
459D12—41no—
460D12—41no—
461C3×C8—41no—
462C3×C8—41no—
463C3⋊C8—22no—
464C3⋊C8—22no—
465C24—64no—
466C24—61no—
467C24—61no—
468C24—122no—
469C24—122no—
470C24—241no—
471C24—241no—
472C24—241no—
473C24—241no—
474C24D3×D411yescharacteristic
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×D4—32no—
482C2×D4—32no—
483C2×D4—64no—
484C2×D4—61no—
485C2×D4—61no—
486C2×D4—61no—
487C2×D4—61no—
488C2×D4—61no—
489C2×D4—61no—
490C2×D4—61no—
491C2×D4—61no—
492C2×D4—61no—
493C2×D4—61no—
494C2×D4—124no—
495C2×D4—124no—
496C2×D4—124no—
497C2×D4—124no—
498C2×D4—122no—
499C2×D4—122no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—31no—
509C22×C4—31no—
510C22×C4—31no—
511C22×C4—31no—
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—21no—
537C4⋊C4—21no—
538C4⋊C4—42no—
539C4⋊C4—62no—
540C4⋊C4—62no—
541C4⋊C4—61no—
542C4⋊C4—61no—
543C4⋊C4—61no—
544C4⋊C4—61no—
545C4⋊C4—241no—
546C4⋊C4—241no—
547C22⋊C4—42no—
548C22⋊C4—42no—
549C22⋊C4—62no—
550C22⋊C4—62no—
551C22⋊C4—241no—
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—42no—
561C42—61no—
562C42—61no—
563C42—61no—
564C42—61no—
565C22×C3—22no—
566C22×C3—22no—
567C22×C3—22no—
568C22×C3—41no—
569C22×C3—41no—
570C22×C3—41no—
571C22×C3—41no—
572C22×C3C2×#12111yescharacteristic
573C22×C3#52511yescharacteristic
574C22×C3#53511yescharacteristic
575C22×C3#57611yescharacteristic
576C22×C3#57711yescharacteristic
577C22×C3#57711yescharacteristic
578C22×C3#57711yescharacteristic
579C2×D3—42no—
580C2×D3—42no—
581C2×D3—42no—
582C2×D3—42no—
583C2×D3—42no—
584C2×D3—42no—
585C2×D3—816no—
586C2×D3—81no—
587C2×D3—81no—
588C2×D3—81no—
589C2×D3—81no—
590C2×D3—81no—
591C2×D3—81no—
592C2×D3—81no—
593C2×D3—81no—
594C3×C4—22no—
595C3×C4—81no—
596C3×C4—81no—
597C3×C4—81no—
598C3×C4—81no—
599C3×C4#54611yescharacteristic
600C3×C4#54611yescharacteristic
601C3×C4#55111yescharacteristic
602C3×C4#55111yescharacteristic
603Dic3—41no—
604Dic3—41no—
605Dic3—41no—
606Dic3—41no—
607Dic3—81no—
608Dic3—81no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—62no—
616C23—62no—
617C23—128no—
618C23—121no—
619C23—121no—
620C23—121no—
621C23—121no—
622C23—121no—
623C23—121no—
624C23—121no—
625C23—121no—
626C23—121no—
627C23—121no—
628C23—121no—
629C23—121no—
630C23—244no—
631C23—244no—
632C23—244no—
633C23—244no—
634C23—244no—
635C23—244no—
636C23#88412yes—
637C23C2×D3×D411yescharacteristic
638Q8—41no—
639Q8—41no—
640Q8—41no—
641Q8—41no—
642D4—62no—
643D4—62no—
644D4—62no—
645D4—62no—
646D4—128no—
647D4—121no—
648D4—121no—
649D4—121no—
650D4—121no—
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—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—61no—
677C2×C4—61no—
678C2×C4—61no—
679C2×C4—61no—
680C2×C4—61no—
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×C4#100411yescharacteristic
691C2×C4#100411yescharacteristic
692C2×C4D3×#4111yescharacteristic
693C2×C4D3×#4111yescharacteristic
694C8—41no—
695C8—41no—
696C8—62no—
697C8—62no—
698C2×C3—42no—
699C2×C3#241111yescharacteristic
700C2×C3#305711yescharacteristic
701C2×C3#306211yescharacteristic
702C2×C3#311811yescharacteristic
703C2×C3#312311yescharacteristic
704C2×C3#322211yescharacteristic
705C2×C3#322411yescharacteristic
706D3—82no—
707D3—82no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—122no—
716C22—122no—
717C22—122no—
718C22—122no—
719C22—122no—
720C22—122no—
721C22—2416no—
722C22—241no—
723C22—241no—
724C22—241no—
725C22—241no—
726C22—241no—
727C22—241no—
728C22—241no—
729C22—241no—
730C22C2×#88411yescharacteristic
731C22#559211yescharacteristic
732C22#565611yescharacteristic
733C22#576911yescharacteristic
734C22#577011yescharacteristic
735C22#577811yescharacteristic
736C22#577811yescharacteristic
737C4—22no—
738C4—81no—
739C4—81no—
740C4—81no—
741C4—81no—
742C4—121no—
743C4—121no—
744C4—121no—
745C4—121no—
746C4—241no—
747C4—241no—
748C4#555611yescharacteristic
749C4#555611yescharacteristic
750C4#561011yescharacteristic
751C4#561011yescharacteristic
752C3#2451611yescharacteristic, complemented, Sylow
753C2—42no—
754C2—242no—
755C2—242no—
756C2#7488911yescharacteristic
757C2#7884011yescharacteristic
758C2#7896311yescharacteristic
759C2#8026211yescharacteristic
760C2#8026311yescharacteristic
761C2#8149611yescharacteristic
762C2#8149811yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1873C2
socleC23×C3C22×D4
prime radicalC23×D12C22
hypercenter#1873D3
hypocenterC3#24516
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1873

Complements

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

NH ≅ G/Ntype
1. #82787C2semidirect
4. C2×#4720C2semidirect
5. C3×#1873C2semidirect
6. #71576C2semidirect
7. #70280C2semidirect
8. #70280C2semidirect
9. #70260C2semidirect
10. #70257C2semidirect
12. #68901C2semidirect
13. #68900C2semidirect
14. #68856C2semidirect
15. #68852C2semidirect
23. C2×C3×#103C22semidirect
24. C2×C3×#103C22semidirect
26. #5229C22semidirect
27. #5229C22semidirect
34. C2×#815C22semidirect
35. C2×Dic3⋊C8C22semidirect
36. C2×Dic3⋊C8C22semidirect
37. C2×C8×Dic3C22semidirect
45. #4972C22semidirect
46. #4972C22semidirect
49. C2×#808C22semidirect
50. C2×#807C22semidirect
58. C3×#340C22semidirect
59. C3×#340C22semidirect
60. #4529C22semidirect
61. #4529C22semidirect
74. #1873D3semidirect
166. C2×#103C2×D3semidirect
167. C2×#103C2×D3semidirect
197. #340C2×D3semidirect
198. #340C2×D3semidirect
752. C3#24516semidirect

Maximal subgroups

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

subgroupindex
#827872
C2×#50462
#822692
C2×#47202
C3×#18732
#715762
#702802
#702602
#702572
#699592
#689012
#689002
#688562
#688522
#245163