Finite Group Databasebeta

← #10834030

Subgroups — #10834030

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#82269C211yesmaximal, characteristic
2C2×#4731C211yesmaximal, characteristic
3C2×#4720C211yesmaximal, characteristic, complemented
4#73951C211yesmaximal, characteristic, complemented
5C3×#1854C211yesmaximal, characteristic, complemented
6#71585C211yesmaximal, characteristic, complemented
7#70639C211yesmaximal, characteristic, complemented
8#70629C211yesmaximal, characteristic, complemented
9#70585C211yesmaximal, characteristic, complemented
10#70574C211yesmaximal, characteristic, complemented
11#69521C211yesmaximal, characteristic
12#68863C211yesmaximal, characteristic, complemented
13#68863C211yesmaximal, characteristic, complemented
14#68857C211yesmaximal, characteristic, complemented
15#68853C211yesmaximal, characteristic, complemented
16#24516—31nomaximal, Sylow
17C23×D12C2211yescharacteristic
18C2×C3×#117C2211yescharacteristic
19C2×#926C2211yescharacteristic
20C2×#924C2211yescharacteristic
21C22×#204C2211yescharacteristic
22C22×#204C2211yescharacteristic
23C2×C3×#107C2211yescharacteristic, complemented
24C2×C3×#106C2211yescharacteristic, complemented
25C2×C3×C22⋊C8C2211yescharacteristic
26C3×#380C2211yescharacteristic
27C2×#830C2211yescharacteristic
28C2×#821C2211yescharacteristic
29C2×#821C2211yescharacteristic
30C2×#815C2211yescharacteristic, complemented
31C2×Dic3⋊C8C2211yescharacteristic, complemented
32C2×Dic3⋊C8C2211yescharacteristic, complemented
33C2×C8×Dic3C2211yescharacteristic, complemented
34#4988C2211yescharacteristic
35#4988C2211yescharacteristic
36#4988C2211yescharacteristic
37#4988C2211yescharacteristic
38#4984C2211yescharacteristic, complemented
39#4984C2211yescharacteristic, complemented
40#4973C2211yescharacteristic, complemented
41#4973C2211yescharacteristic, complemented
42C2×#810C2211yescharacteristic, complemented
43C2×#810C2211yescharacteristic, complemented
44C2×#809C2211yescharacteristic
45C2×#809C2211yescharacteristic
46C2×#809C2211yescharacteristic
47C2×#809C2211yescharacteristic
48#4955—21no—
49#4955—21no—
50#4953—21no—
51#4953—21no—
52#4939—21no—
53#4939—21no—
54#4731—24no—
55#4720—24no—
56#4661—21no—
57#4659—21no—
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#1873—31no—
75#1854D311yescharacteristic, complemented
76#1786—31no—
77C24×D3—21no—
78C23×C3×C4C2311yescharacteristic
79C22×D12—21no—
80C22×D12—22no—
81C22×D12—22no—
82C22×D12—22no—
83C22×D12—22no—
84C22×D12—41no—
85C22×D12—41no—
86C22×D12C2311yescharacteristic
87C22×D12C2311yescharacteristic
88C22×Dic6C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C3×#117—41no—
92C3×#117—41no—
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C22⋊C4—21no—
98C2×C3×C22⋊C4—21no—
99C2×C3×C42—21no—
100C2×#217—21no—
101C2×#217D411yescharacteristic
102C2×#217D411yescharacteristic
103C2×(C2×D3)⋊C4—21no—
104C2×(C2×D3)⋊C4—21no—
105C2×(C2×D3)⋊C4—21no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4—21no—
108C2×(C2×D3)⋊C4—21no—
109C2×(C2×D3)⋊C4—21no—
110C2×(C2×D3)⋊C4—21no—
111#926—22no—
112#926—22no—
113C2×C4⋊Dic3—21no—
114C2×C4⋊Dic3—21no—
115C2×C4⋊Dic3D411yescharacteristic
116C2×C4⋊Dic3D411yescharacteristic
117C2×C4⋊Dic3C2311yescharacteristic
118#924—22no—
119#924—22no—
120C2×Dic3⋊C4—21no—
121C2×C4×Dic3C2311yescharacteristic
122C2×C4×Dic3C2311yescharacteristic
123C22×C3⋊C8C2311yescharacteristic
124C22×C3⋊C8C2311yescharacteristic
125C2×#204—22no—
126C2×#204—22no—
127C2×#204—22no—
128C2×#204—22no—
129C2×#204—41no—
130C2×#204—41no—
131C3×#107—41no—
132C3×#106—41no—
133C3×C22⋊C8D414yes—
134C3×#95—21no—
135C3⋊#95—21no—
136C3⋊#95—21no—
137C3⋊#95—21no—
138C3⋊#95—21no—
139C3⋊#95—21no—
140C3⋊#95—21no—
141#830—22no—
142#821—22no—
143#821—22no—
144#815—22no—
145Dic3⋊C8—22no—
146Dic3⋊C8—22no—
147C8×Dic3—22no—
148#810—41no—
149#810—41no—
150#809—22no—
151#809—22no—
152#809—41no—
153#809—41no—
154C23×D4—31no—
155C22×SD16—31no—
156C22×SD16—31no—
157C2×C22⋊Q8—31no—
158C2×#117—31no—
159C2×#117C2×D311yescharacteristic
160#450—64no—
161#433—64no—
162C2×#107C2×D311yescharacteristic, complemented
163C2×#106C2×D311yescharacteristic, complemented
164C2×C4⋊C8—31no—
165C2×C4⋊C8—31no—
166C2×#103—31no—
167C2×#103—31no—
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#380C2×D311yescharacteristic
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—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4C2×D412yes—
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4#4112yes—
220C22×C3×C4C2411yescharacteristic
221C22×Dic3—21no—
222C22×Dic3—21no—
223C22×Dic3C2×D411yescharacteristic
224C22×Dic3C2×D411yescharacteristic
225C22×Dic3C2×D411yescharacteristic
226C22×Dic3C2×D411yescharacteristic
227C2×D12—21no—
228C2×D12—21no—
229C2×D12—21no—
230C2×D12—21no—
231C2×D12—21no—
232C2×D12—21no—
233C2×D12—21no—
234C2×D12—21no—
235C2×D12—24no—
236C2×D12—21no—
237C2×D12—21no—
238C2×D12—44no—
239C2×D12—44no—
240C2×D12—44no—
241C2×D12—44no—
242C2×D12—42no—
243C2×D12—42no—
244C2×D12#4112yes—
245C2×D12#4112yes—
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×C8C2×D412yes—
257C2×C3×C8C2×D412yes—
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—21no—
265C3×C4⋊C4—21no—
266C3×C22⋊C4—42no—
267C3×C22⋊C4—81no—
268C3×C42—42no—
269#217—22no—
270#217—22no—
271#217—42no—
272(C2×D3)⋊C4—81no—
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—
280C4⋊Dic3—22no—
281C4⋊Dic3—22no—
282C4⋊Dic3—21no—
283C4⋊Dic3—21no—
284C4⋊Dic3—81no—
285C4⋊Dic3—81no—
286Dic3⋊C4—42no—
287C4×Dic3—21no—
288C4×Dic3—21no—
289C4×Dic3—21no—
290C4×Dic3—21no—
291C2×C3⋊C8—21no—
292C2×C3⋊C8—21no—
293C2×C3⋊C8—21no—
294C2×C3⋊C8—21no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
297#204—44no—
298#204—44no—
299C25—61no—
300C22×Q8—31no—
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—62no—
322C22⋊Q8—62no—
323#117—41no—
324#117—41no—
325#117—62no—
326#117—62no—
327C2×C4⋊C4—31no—
328C2×C4⋊C4—31no—
329C2×C4⋊C4—31no—
330C2×C4⋊C4—61no—
331C2×C4⋊C4—61no—
332C2×C4⋊C4—61no—
333C2×C4⋊C4C22×D311yescharacteristic
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—41no—
354#106—41no—
355C4⋊C8—62no—
356C4⋊C8—62no—
357#103—121no—
358#103—121no—
359#102—62no—
360#102—62no—
361#102—62no—
362#102—62no—
363#102—121no—
364#102—121no—
365C22⋊C8—62no—
366C22⋊C8D1214yes—
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#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—
405C2×C3×C4—21no—
406C2×C3×C4—21no—
407C2×C3×C4—22no—
408C2×C3×C4—22no—
409C2×C3×C4—22no—
410C2×C3×C4—22no—
411C2×C3×C4—41no—
412C2×C3×C4—41no—
413C2×C3×C4—41no—
414C2×C3×C4—41no—
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#12112yes—
424C2×C3×C4C22×D411yescharacteristic
425C2×C3×C4C2×#4111yescharacteristic
426C2×C3×C4C2×#4111yescharacteristic
427C2×C3×C4C2×#4111yescharacteristic
428C2×C3×C4H(5,𝔽2)11yescharacteristic
429C2×C3×C4H(5,𝔽2)11yescharacteristic
430C2×Dic3—21no—
431C2×Dic3—21no—
432C2×Dic3—21no—
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—41no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448D12—22no—
449D12—22no—
450D12—22no—
451D12—22no—
452D12—48no—
453D12—41no—
454D12—41no—
455D12—41no—
456D12—41no—
457Dic6—41no—
458Dic6—41no—
459Dic6—41no—
460Dic6—41no—
461C3×C8—22no—
462C3×C8—22no—
463C3⋊C8—41no—
464C3⋊C8—41no—
465C24—64no—
466C24—61no—
467C24—61no—
468C24—122no—
469C24—122no—
470C24—241no—
471C24—241no—
472C24—241no—
473C24—241no—
474C24D3×D411yescharacteristic
475C2×Q8—61no—
476C2×Q8—61no—
477C2×Q8—61no—
478C2×Q8—61no—
479C2×Q8—61no—
480C2×Q8—61no—
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×C4C2×D1212yes—
515C22×C4D3×D411yescharacteristic
516C22×C4#23912yes—
517C22×C4C23×D311yescharacteristic
518SD16—124no—
519SD16—124no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—61no—
525C2×C8—61no—
526C2×C8—61no—
527C2×C8—61no—
528C2×C8—61no—
529C2×C8—61no—
530C2×C8C2×D1212yes—
531C2×C8C2×D1212yes—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—62no—
541C4⋊C4—62no—
542C4⋊C4—61no—
543C4⋊C4—61no—
544C4⋊C4—122no—
545C4⋊C4—241no—
546C4⋊C4—241no—
547C22⋊C4—42no—
548C22⋊C4—62no—
549C22⋊C4—62no—
550C22⋊C4—81no—
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—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#89512yes—
637C23C2×D3×D411yescharacteristic
638Q8—121no—
639Q8—121no—
640Q8—121no—
641Q8—121no—
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#89512yes—
688C2×C4C22×D1211yescharacteristic
689C2×C4#100411yescharacteristic
690C2×C4#100411yescharacteristic
691C2×C4C2×#23911yescharacteristic
692C2×C4D3×#4111yescharacteristic
693C2×C4D3×#4111yescharacteristic
694C8—22no—
695C8—22no—
696C8—121no—
697C8—121no—
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×#89511yescharacteristic
731C22#559211yescharacteristic
732C22#565611yescharacteristic
733C22#577011yescharacteristic
734C22#577011yescharacteristic
735C22#577411yescharacteristic
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#555411yescharacteristic
749C4#555411yescharacteristic
750C4#563711yescharacteristic
751C4#563711yescharacteristic
752C3#2451611yescharacteristic, complemented, Sylow
753C2—42no—
754C2—242no—
755C2—242no—
756C2#7460211yescharacteristic
757C2#7918211yescharacteristic
758C2#7921311yescharacteristic
759C2#8011911yescharacteristic
760C2#8026211yescharacteristic
761C2#8135211yescharacteristic
762C2#8149811yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1854C2
socleC23×C3C22×D4
prime radicalC23×D12C22
hypercenter#1854D3
hypocenterC3#24516
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1854

Complements

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

NH ≅ G/Ntype
3. C2×#4720C2semidirect
4. #73951C2semidirect
5. C3×#1854C2semidirect
6. #71585C2semidirect
7. #70639C2semidirect
8. #70629C2semidirect
9. #70585C2semidirect
10. #70574C2semidirect
12. #68863C2semidirect
13. #68863C2semidirect
14. #68857C2semidirect
15. #68853C2semidirect
23. C2×C3×#107C22semidirect
24. C2×C3×#106C22semidirect
30. C2×#815C22semidirect
31. C2×Dic3⋊C8C22semidirect
32. C2×Dic3⋊C8C22semidirect
33. C2×C8×Dic3C22semidirect
38. #4984C22semidirect
39. #4984C22semidirect
40. #4973C22semidirect
41. #4973C22semidirect
42. C2×#810C22semidirect
43. C2×#810C22semidirect
58. C3×#340C22semidirect
59. C3×#340C22semidirect
60. #4529C22semidirect
61. #4529C22semidirect
75. #1854D3semidirect
162. C2×#107C2×D3semidirect
163. C2×#106C2×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
#822692
C2×#47312
C2×#47202
#739512
C3×#18542
#715852
#706392
#706292
#705852
#705742
#695212
#688632
#688572
#688532
#245163