Finite Group Databasebeta

← #11675274

Subgroups — #11675274

Order 768.

1798 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3507C211yesmaximal, characteristic, complemented
2#86280C211yesmaximal, characteristic, complemented
3#83714C214yesmaximal, complemented
4#83692C214yesmaximal, complemented
5#83669C214yesmaximal, complemented
6#83668C214yesmaximal, complemented
7#83405C212yesmaximal, complemented
8#83401C212yesmaximal, complemented
9#83329C211yesmaximal, characteristic, complemented
10#83297C211yesmaximal, characteristic
11#83282C211yesmaximal, characteristic, complemented
12#82564C212yesmaximal, complemented
13#82559C212yesmaximal, complemented
14C2×#5026C211yesmaximal, characteristic, complemented
15#82431C211yesmaximal, characteristic, complemented
16#61333—31nomaximal, Sylow
17C3×#559C2212yescomplemented
18C3×#557C2212yescomplemented
19C3×#556—21no—
20C3×#556C2214yescomplemented
21C3×#554—21no—
22C3×#552—22no—
23C3×#539—22no—
24C3×#536C2212yes—
25C3×#533C2211yescharacteristic
26C3×#532C2211yescharacteristic
27C3×#529—22no—
28C3×#520C2212yes—
29C2×C3×C4×Q8C2211yescharacteristic
30C2×#949C2212yes—
31C22×#215C2211yescharacteristic
32#5730—21no—
33#5727—21no—
34#5690—22no—
35#5634—22no—
36D3×C22⋊Q8—22no—
37#5579C2214yes—
38#5579C2212yes—
39Q8×D12C2212yes—
40#5521C2212yes—
41#5519C2212yes—
42C2×C4×D12C2211yescharacteristic
43#5470C2211yescharacteristic
44#5233C2212yes—
45#5233C2212yes—
46#5232C2212yes—
47#5225C2212yes—
48C2×#835C2211yescharacteristic
49#5083C2212yes—
50#5083C2214yes—
51#5083C2214yes—
52#5082C2212yescomplemented
53#5082C2214yescomplemented
54#5079C2214yescomplemented
55#5072C2212yes—
56#5071C2212yescomplemented
57#5057C2214yes—
58#5057C2214yes—
59#5057C2214yes—
60#5056C2214yescomplemented
61#5055C2214yescomplemented
62#5055C2212yescomplemented
63#5055C2212yescomplemented
64#5026C2214yes—
65#5026C2214yes—
66#5026C2214yes—
67C4×#215C2214yes—
68#5024C2214yescomplemented
69#5024C2214yescomplemented
70#5022C2214yescomplemented
71#5022C2214yescomplemented
72#5021C2214yescomplemented
73#5021C2212yescomplemented
74#5020C2212yescomplemented
75#5014C2214yes—
76C4×#213C2214yes—
77#5009C2214yescomplemented
78#5007C2214yescomplemented
79#4999C2212yes—
80#4997C2212yes—
81C2×#809C2211yescharacteristic
82#4964C2212yes—
83C2×#807C2211yescharacteristic
84#4924C2211yescharacteristic
85C2×#803C2211yescharacteristic
86#3507D311yescharacteristic, complemented
87#3501—31no—
88#3376—34no—
89#3372—34no—
90#3370—34no—
91#3367—34no—
92#3137—32no—
93#3135—31no—
94#3083—32no—
95#3078—31no—
96#3042—32no—
97#3036—31no—
98#2961—31no—
99#2946—32no—
100C2×#440—31no—
101C2×C3×#41C2312yes—
102C22×C3×Q8C2311yescharacteristic
103C2×D3×Q8—22no—
104C22×D12C2311yescharacteristic
105C22×C4×D3—21no—
106C3×C4⋊Q8D411yescharacteristic
107C3×C4⋊Q8D411yescharacteristic
108C3×C4⋊Q8C2314yes—
109C3×C4⋊Q8C2311yescharacteristic
110C3×#127C2311yescharacteristic
111C3×#126—24no—
112C3×#126—24no—
113C3×#125—22no—
114C3×#125—24no—
115C3×#125D412yes—
116C3×#124—22no—
117C3×#124C2314yes—
118C3×#124C2312yes—
119C3×#123—24no—
120C3×#123—24no—
121C3×C22⋊Q8—24no—
122C3×C22⋊Q8—22no—
123C3×C22⋊Q8—22no—
124C3×C22⋊Q8D412yes—
125C3×C22⋊Q8D412yes—
126C3×#121—21no—
127C3×#121—21no—
128C3×C4×Q8—22no—
129C3×C4×Q8—21no—
130C3×C4×Q8—21no—
131C3×C4×Q8C2312yes—
132C3×C4×Q8C2312yes—
133C3×C4×Q8C2314yes—
134C3×C4×Q8C2312yes—
135C3×C4×Q8C2312yes—
136C3×C4×D4—22no—
137C3×C4×D4—24no—
138C3×C4×D4—21no—
139C3×C4×D4—21no—
140C3×C4×D4C2314yes—
141C3×#117—22no—
142C3×#117—24no—
143C3×#117C2312yes—
144C2×C3×C4⋊C4—21no—
145C2×C3×C4⋊C4—22no—
146C2×C3×C4⋊C4C2311yescharacteristic
147C2×C3×C42—21no—
148C2×C3×C42C2311yescharacteristic
149#949—28no—
150#946—24no—
151#946—22no—
152C2×#215—24no—
153C2×#215C2314yes—
154C2×#215C2314yes—
155C2×#213C2314yes—
156C2×(C2×D3)⋊C4—21no—
157#926C2312yes—
158C2×C4⋊Dic3C2311yescharacteristic
159#924—21no—
160#924—21no—
161C2×#208C2312yes—
162C22×C3⋊C8C2311yescharacteristic
163C22×C3⋊C8C2311yescharacteristic
164#897—24no—
165#897—22no—
166#896—24no—
167#896—24no—
168#896—24no—
169#893—22no—
170#893—22no—
171D3×C4⋊C4—24no—
172D3×C4⋊C4—22no—
173#890—22no—
174#888—22no—
175D3×C22⋊C4—24no—
176#878—24no—
177C4×D12—21no—
178C4×D12—21no—
179C4×D12C2312yes—
180C4×D12C2312yes—
181C4×D12C2314yes—
182C4×D12C2314yes—
183#870C2312yes—
184#870C2314yes—
185#869C2311yescharacteristic
186#869C2311yescharacteristic
187#869C2314yes—
188C4×Dic6—21no—
189C4×Dic6—21no—
190#835C2314yes—
191#835C2314yes—
192#835C2314yes—
193#835C2314yes—
194#835C2312yes—
195#835C2312yes—
196#835C2312yes—
197#835C2312yes—
198#832C2314yes—
199#832C2312yes—
200#832C2312yes—
201#832C2312yes—
202#832C2312yes—
203#809C2314yes—
204#808C2314yes—
205#807C2314yes—
206#807C2314yes—
207C4⋊(C3⋊C8)C2312yes—
208C4⋊(C3⋊C8)C2312yes—
209C4⋊(C3⋊C8)C2314yes—
210C4⋊(C3⋊C8)C2314yes—
211#803C2312yes—
212#803C2312yes—
213#803C2314yes—
214C4×C3⋊C8C2314yes—
215C2×AGL(1,ℤ/8)—32no—
216C22×SD16—31no—
217#559C2×D312yescomplemented
218#557C2×D312yescomplemented
219#556—21no—
220#556C2×D314yescomplemented
221#554—21no—
222#554—34no—
223#554—32no—
224#554—61no—
225#554—62no—
226#552—22no—
227D4×Q8—32no—
228D4×Q8—61no—
229#544—32no—
230#543—62no—
231#539—22no—
232#536C2×D312yes—
233#533—31no—
234#533C2×D311yescharacteristic
235#532C2×D311yescharacteristic
236#529—22no—
237C2×C22⋊Q8—62no—
238#520C2×D312yes—
239#518—32no—
240C2×C4×Q8C2×D311yescharacteristic
241C2×C4×D4—31no—
242#491—32no—
243#491—34no—
244#490—32no—
245#489—32no—
246#489—34no—
247#489—32no—
248#488—34no—
249#487—34no—
250#479—34no—
251#479—34no—
252#478—34no—
253#477—32no—
254#477—34no—
255#475—32no—
256#474—34no—
257#463—34no—
258#463—34no—
259#463—34no—
260#461—34no—
261#461—32no—
262#461—34no—
263#459—32no—
264#446—34no—
265#446—34no—
266#442—34no—
267#440—34no—
268#440—34no—
269#440—34no—
270C4×SD16—34no—
271C4×D8—34no—
272#428—32no—
273C2×#107—31no—
274#424—32no—
275#423—31no—
276#419—32no—
277#417—32no—
278#416—32no—
279#416—32no—
280C2×#103—31no—
281C2×#102—31no—
282#405—32no—
283C2×#97—31no—
284C23×D3—21no—
285C3×#41—24no—
286C3×#41—24no—
287C2×C3×Q8—21no—
288C2×C3×Q8—22no—
289C2×C3×Q8—22no—
290C2×C3×Q8C2×D412yes—
291C2×C3×Q8C2×D412yes—
292C2×C3×Q8C2412yes—
293C2×C3×Q8C2412yes—
294C2×C3×D4—22no—
295C2×C3×D4—21no—
296C2×C3×D4—21no—
297C2×C3×D4C2412yes—
298C22×C3×C4—21no—
299C22×C3×C4—21no—
300C22×C3×C4—22no—
301C22×C3×C4—24no—
302C22×C3×C4C2×D411yescharacteristic
303C22×C3×C4C2×D411yescharacteristic
304C22×C3×C4C2411yescharacteristic
305C22×Dic3—21no—
306D3×Q8—84no—
307C2×D12—21no—
308C2×D12—22no—
309C2×D12#4114yes—
310C2×D12C2412yes—
311C2×C4×D3—22no—
312C2×C4×D3—22no—
313C2×C4×D3—24no—
314C2×C4×D3—24no—
315C2×C4×D3—82no—
316C2×Dic6—21no—
317C2×Dic6—21no—
318C2×Dic6—24no—
319C3×C4⋊C4—21no—
320C3×C4⋊C4—24no—
321C3×C4⋊C4—22no—
322C3×C4⋊C4—22no—
323C3×C4⋊C4—24no—
324C3×C4⋊C4—21no—
325C3×C4⋊C4—21no—
326C3×C4⋊C4—24no—
327C3×C4⋊C4C2×D412yes—
328C3×C4⋊C4C2×D412yes—
329C3×C4⋊C4C2×D414yes—
330C3×C4⋊C4C2×D412yes—
331C3×C4⋊C4C2×D412yes—
332C3×C4⋊C4C2×D414yes—
333C3×C4⋊C4C2412yes—
334C3×C22⋊C4—22no—
335C3×C22⋊C4—24no—
336C3×C22⋊C4—24no—
337C3×C22⋊C4—22no—
338C3×C22⋊C4—24no—
339C3×C22⋊C4C2×D414yes—
340C3×C42—22no—
341C3×C42—22no—
342C3×C42—24no—
343C3×C42C2×D411yescharacteristic
344C3×C42C2×D411yescharacteristic
345C3×C42C2414yes—
346C3×C42C2411yescharacteristic
347C3×C42C2411yescharacteristic
348#217—22no—
349#215—28no—
350#215—28no—
351#213—28no—
352(C2×D3)⋊C4—22no—
353(C2×D3)⋊C4—22no—
354(C2×D3)⋊C4—24no—
355(C2×D3)⋊C4—24no—
356C4⋊Dic3—21no—
357C4⋊Dic3—21no—
358C4⋊Dic3—24no—
359C4⋊Dic3—21no—
360C4⋊Dic3C2412yes—
361C4⋊Dic3C2412yes—
362C4⋊Dic3C2412yes—
363Dic3⋊C4—22no—
364Dic3⋊C4—22no—
365Dic3⋊C4—24no—
366Dic3⋊C4—24no—
367C4×Dic3—22no—
368#208—24no—
369C2×C3⋊C8—22no—
370C2×C3⋊C8—22no—
371C2×C3⋊C8C2412yes—
372C2×C3⋊C8C2414yes—
373C2×C3⋊C8C2412yes—
374C2×#41C22×D312yes—
375C22×Q8—62no—
376C22×Q8C22×D311yescharacteristic
377C22×D4—31no—
378C23×C4—61no—
379AGL(1,ℤ/8)—68no—
380C2×SD16—34no—
381C2×SD16—34no—
382C2×SD16—64no—
383C2×D8—34no—
384C2×M16—32no—
385C22×C8—31no—
386C22×C8—31no—
387C4⋊Q8—31no—
388C4⋊Q8—31no—
389C4⋊Q8—34no—
390C4⋊Q8—62no—
391C4⋊Q8#6711yescharacteristic
392C4⋊Q8#6711yescharacteristic
393C4⋊Q8C22×D311yescharacteristic
394C4⋊Q8C22×D314yes—
395#127C22×D311yescharacteristic
396#126—24no—
397#126—24no—
398#125—22no—
399#125—24no—
400#125—32no—
401#125—34no—
402#125—62no—
403#125#6712yes—
404#124—22no—
405#124C22×D312yes—
406#124C22×D314yes—
407#123—24no—
408#123—24no—
409C22⋊Q8—24no—
410C22⋊Q8—22no—
411C22⋊Q8—22no—
412C22⋊Q8—62no—
413C22⋊Q8—64no—
414C22⋊Q8—61no—
415C22⋊Q8—61no—
416C22⋊Q8—62no—
417C22⋊Q8—64no—
418C22⋊Q8—64no—
419C22⋊Q8—64no—
420C22⋊Q8—64no—
421C22⋊Q8—64no—
422C22⋊Q8#6712yes—
423C22⋊Q8#6712yes—
424#121—21no—
425#121—21no—
426C4×Q8—22no—
427C4×Q8—21no—
428C4×Q8—21no—
429C4×Q8—61no—
430C4×Q8—61no—
431C4×Q8C22×D312yes—
432C4×Q8C22×D312yes—
433C4×Q8C22×D314yes—
434C4×Q8C22×D312yes—
435C4×Q8C22×D312yes—
436C4×D4—22no—
437C4×D4—24no—
438C4×D4—21no—
439C4×D4—21no—
440C4×D4—32no—
441C4×D4—32no—
442C4×D4—34no—
443C4×D4—34no—
444C4×D4—62no—
445C4×D4—62no—
446C4×D4—61no—
447C4×D4—61no—
448C4×D4C22×D314yes—
449#117—22no—
450#117—24no—
451#117—32no—
452#117C22×D312yes—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—22no—
455C2×C4⋊C4—31no—
456C2×C4⋊C4—64no—
457C2×C4⋊C4—62no—
458C2×C4⋊C4C22×D311yescharacteristic
459C2×C22⋊C4—61no—
460C2×C22⋊C4—64no—
461C2×C42—21no—
462C2×C42C22×D311yescharacteristic
463#107—34no—
464#107—34no—
465#106—34no—
466C4⋊C8—32no—
467C4⋊C8—32no—
468C4⋊C8—34no—
469C4⋊C8—34no—
470#103—34no—
471#103—32no—
472#103—32no—
473#103—32no—
474#103—32no—
475#103—34no—
476#103—34no—
477#103—34no—
478#102—32no—
479#102—32no—
480#102—32no—
481#102—32no—
482#102—34no—
483#102—34no—
484#97—32no—
485#97—32no—
486#97—34no—
487C4×C8—34no—
488C23×C3—22no—
489C23×C3C22×D411yescharacteristic
490C22×D3—22no—
491C22×D3—24no—
492C22×D3—81no—
493C22×D3—81no—
494C3×Q8—22no—
495C3×Q8—22no—
496C3×Q8—22no—
497C3×Q8—22no—
498C3×Q8—42no—
499C3×Q8—42no—
500C3×Q8—42no—
501C3×D4—22no—
502C3×D4—22no—
503C3×D4—42no—
504C3×D4—44no—
505C3×D4—81no—
506C2×C3×C4—22no—
507C2×C3×C4—22no—
508C2×C3×C4—22no—
509C2×C3×C4—41no—
510C2×C3×C4—41no—
511C2×C3×C4—42no—
512C2×C3×C4—44no—
513C2×C3×C4—84no—
514C2×C3×C4—81no—
515C2×C3×C4C22×D411yescharacteristic
516C2×C3×C4C22×D411yescharacteristic
517C2×C3×C4C22×D414yes—
518C2×C3×C4C22×D414yes—
519C2×C3×C4C22×D411yescharacteristic
520C2×C3×C4C22×D411yescharacteristic
521C2×C3×C4C22×D411yescharacteristic
522C2×C3×C4C2×#4112yes—
523C2×C3×C42−1+412yes—
524C2×C3×C4C2511yescharacteristic
525C2×Dic3—22no—
526C2×Dic3—22no—
527C2×Dic3—22no—
528C2×Dic3—81no—
529D12—24no—
530D12—22no—
531D12C2×#4114yes—
532C4×D3—44no—
533C4×D3—84no—
534C4×D3—82no—
535C4×D3—84no—
536Dic6—42no—
537Dic6—81no—
538Dic6—84no—
539C3⋊C8—22no—
540C3⋊C8—24no—
541C3⋊C8—22no—
542C24—61no—
543#41—24no—
544#41—24no—
545C2×Q8—21no—
546C2×Q8—22no—
547C2×Q8—22no—
548C2×Q8—61no—
549C2×Q8—61no—
550C2×Q8—64no—
551C2×Q8—244no—
552C2×Q8C2×#6712yes—
553C2×Q8C2×#6712yes—
554C2×Q8C23×D312yes—
555C2×Q8C23×D312yes—
556C2×D4—22no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4—34no—
560C2×D4—32no—
561C2×D4—62no—
562C2×D4—61no—
563C2×D4C23×D312yes—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—22no—
567C22×C4—24no—
568C22×C4—61no—
569C22×C4—62no—
570C22×C4—64no—
571C22×C4—64no—
572C22×C4—62no—
573C22×C4—242no—
574C22×C4C2×#6711yescharacteristic
575C22×C4C2×#6711yescharacteristic
576C22×C4C23×D311yescharacteristic
577SD16—68no—
578SD16—68no—
579D8—68no—
580M16—64no—
581C2×C8—32no—
582C2×C8—34no—
583C2×C8—32no—
584C2×C8—62no—
585C2×C8—62no—
586C4⋊C4—21no—
587C4⋊C4—24no—
588C4⋊C4—22no—
589C4⋊C4—22no—
590C4⋊C4—24no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—24no—
594C4⋊C4—32no—
595C4⋊C4—32no—
596C4⋊C4—32no—
597C4⋊C4—61no—
598C4⋊C4—62no—
599C4⋊C4—61no—
600C4⋊C4—64no—
601C4⋊C4—64no—
602C4⋊C4—64no—
603C4⋊C4—62no—
604C4⋊C4—61no—
605C4⋊C4C2×#6712yes—
606C4⋊C4C2×#6714yes—
607C4⋊C4C2×#6712yes—
608C4⋊C4C2×#6712yes—
609C4⋊C4C2×#6714yes—
610C4⋊C4C2×#6712yes—
611C4⋊C4C23×D312yes—
612C22⋊C4—22no—
613C22⋊C4—24no—
614C22⋊C4—24no—
615C22⋊C4—22no—
616C22⋊C4—24no—
617C22⋊C4—62no—
618C22⋊C4—64no—
619C22⋊C4—64no—
620C22⋊C4—62no—
621C22⋊C4—62no—
622C22⋊C4C2×#6714yes—
623C42—22no—
624C42—22no—
625C42—24no—
626C42—62no—
627C42C2×#6711yescharacteristic
628C42C2×#6711yescharacteristic
629C42C23×D314yes—
630C42C23×D311yescharacteristic
631C42C23×D311yescharacteristic
632C22×C3—21no—
633C22×C3—21no—
634C22×C3—42no—
635C22×C3—42no—
636C22×C3—42no—
637C22×C3#54812yes—
638C22×C3C23×D411yescharacteristic
639C2×D3—24no—
640C2×D3—42no—
641C2×D3—42no—
642C2×D3—84no—
643C3×C4—21no—
644C3×C4—24no—
645C3×C4—21no—
646C3×C4—21no—
647C3×C4—24no—
648C3×C4—21no—
649C3×C4—42no—
650C3×C4—42no—
651C3×C4—42no—
652C3×C4#54812yes—
653C3×C4C22×#4111yescharacteristic
654C3×C4C2×2−1+411yescharacteristic
655Dic3—42no—
656Dic3—42no—
657Dic3—42no—
658C23—22no—
659C23—62no—
660C23—64no—
661C23—241no—
662C23—241no—
663C23C22×#6711yescharacteristic
664Q8—22no—
665Q8—22no—
666Q8—22no—
667Q8—22no—
668Q8—42no—
669Q8—42no—
670Q8—42no—
671Q8—122no—
672Q8—244no—
673Q8—241no—
674D4—22no—
675D4—22no—
676D4—34no—
677D4—42no—
678D4—44no—
679D4—62no—
680D4—64no—
681D4—81no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—62no—
690C2×C4—62no—
691C2×C4—62no—
692C2×C4—84no—
693C2×C4—81no—
694C2×C4—124no—
695C2×C4—242no—
696C2×C4—244no—
697C2×C4—244no—
698C2×C4—241no—
699C2×C4D3×#4112yes—
700C2×C4#101012yes—
701C2×C4C22×#6711yescharacteristic
702C2×C4C22×#6711yescharacteristic
703C2×C4C22×#6714yes—
704C2×C4C22×#6711yescharacteristic
705C2×C4C22×#6711yescharacteristic
706C2×C4C22×#6714yes—
707C2×C4C22×#6711yescharacteristic
708C2×C4C24×D311yescharacteristic
709C8—62no—
710C8—64no—
711C8—62no—
712C2×C3—22no—
713C2×C3—82no—
714C2×C3C2×#54811yescharacteristic
715C2×C3#358511yescharacteristic
716C2×C3#358611yescharacteristic
717D3—44no—
718C22—21no—
719C22—21no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—64no—
724C22—122no—
725C22—122no—
726C22—244no—
727C22#583112yes—
728C22C23×#6711yescharacteristic
729C4—21no—
730C4—21no—
731C4—24no—
732C4—21no—
733C4—21no—
734C4—24no—
735C4—42no—
736C4—42no—
737C4—42no—
738C4—122no—
739C4—122no—
740C4—122no—
741C4#583112yes—
742C4C2×D3×#4111yescharacteristic
743C4C2×#101011yescharacteristic
744C3#6133311yescharacteristic, complemented, Sylow
745C2—22no—
746C2—82no—
747C2—124no—
748C2C2×#583111yescharacteristic
749C2#8728711yescharacteristic
750C2#8729811yescharacteristic
subgroupG/H
centerC22C23×#67
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3507C2
socleC22×C3C23×D4
prime radical#83297C2
hypercenter#3507D3
hypocenterC3#61333
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #533 ◁ #3507

Complements

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

NH ≅ G/Ntype
1. C3×#3507C2semidirect
2. #86280C2semidirect
3. #83714C2semidirect
4. #83692C2semidirect
5. #83669C2semidirect
6. #83668C2semidirect
7. #83405C2semidirect
8. #83401C2semidirect
9. #83329C2semidirect
11. #83282C2semidirect
12. #82564C2semidirect
13. #82559C2semidirect
14. C2×#5026C2semidirect
15. #82431C2semidirect
17. C3×#559C22semidirect
18. C3×#557C22semidirect
20. C3×#556C22semidirect
52. #5082C22semidirect
53. #5082C22semidirect
54. #5079C22semidirect
56. #5071C22semidirect
60. #5056C22semidirect
61. #5055C22semidirect
62. #5055C22semidirect
63. #5055C22semidirect
68. #5024C22semidirect
69. #5024C22semidirect
70. #5022C22semidirect
71. #5022C22semidirect
72. #5021C22semidirect
73. #5021C22semidirect
74. #5020C22semidirect
77. #5009C22semidirect
78. #5007C22semidirect
86. #3507D3semidirect
217. #559C2×D3semidirect
218. #557C2×D3semidirect
220. #556C2×D3semidirect
744. C3#61333semidirect

Maximal subgroups

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

subgroupindex
C3×#35072
#862802
#837142
#836922
#836692
#836682
#834052
#834012
#833292
#832972
#832822
#825642
#825592
C2×#50262
#824312
#613333