Finite Group Databasebeta

← #11675925

Subgroups — #11675925

Order 768.

1810 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86280C211yesmaximal, characteristic, complemented
2#85766C211yesmaximal, characteristic, complemented
3C3×#3077C211yesmaximal, characteristic, complemented
4#83340C211yesmaximal, characteristic, complemented
5C2×#5014C211yesmaximal, characteristic
6#81163C214yesmaximal, complemented
7#81158C214yesmaximal, complemented
8#81055C214yesmaximal, complemented
9#80962C214yesmaximal, complemented
10#79242C212yesmaximal, complemented
11#79205C212yesmaximal, complemented
12#79059C211yesmaximal, characteristic, complemented
13#79045C211yesmaximal, characteristic, complemented
14#78918C212yesmaximal, complemented
15#78915C212yesmaximal
16#61378—31nomaximal, Sylow
17C3×#533C2211yescharacteristic
18C2×C3×C4×D4C2211yescharacteristic
19#5798C2212yes—
20C22×#213C2211yescharacteristic
21C2×#924—22no—
22#5730C2212yescomplemented
23#5727C2212yescomplemented
24#5690C2214yescomplemented
25#5634—22no—
26D3×C22⋊Q8—22no—
27#5579—22no—
28#5579—21no—
29Q8×D12—21no—
30#5543—21no—
31#5543C2212yescomplemented
32#5539—22no—
33#5539C2214yescomplemented
34D4×Dic6—21no—
35D4×Dic6C2212yescomplemented
36#5521C2212yes—
37#5519C2212yes—
38#5500C2212yes—
39#5483—22no—
40C2×C4×D12C2211yescharacteristic
41#5470C2211yescharacteristic
42#5470C2211yescharacteristic
43C3×#478C2214yescomplemented
44C3×#476C2212yescomplemented
45C3×#474C2212yescomplemented
46C3×#428C2212yes—
47C3×#423C2211yescharacteristic
48C3×#418C2212yes—
49C2×#832C2211yescharacteristic
50#5131C2212yes—
51#5122C2212yes—
52#5121C2212yes—
53#5119C2212yes—
54#5081C2212yescomplemented
55#5081C2212yescomplemented
56#5064C2212yescomplemented
57#5064C2212yescomplemented
58#5014C2214yes—
59#5014C2214yes—
60#4998C2212yes—
61#4998C2212yes—
62C2×#809C2211yescharacteristic
63C2×#808C2211yescharacteristic
64C2×#803C2211yescharacteristic
65#4891C2214yescomplemented
66#4890C2214yescomplemented
67#4878C2214yescomplemented
68#4876C2214yescomplemented
69#4871C2214yescomplemented
70#4870C2214yescomplemented
71#4856C2214yescomplemented
72#4855C2214yescomplemented
73#4847C2214yescomplemented
74#4846C2212yescomplemented
75#4842C2212yescomplemented
76#4828C2214yescomplemented
77#4828C2214yescomplemented
78#4785C2214yes—
79#4785C2214yes—
80#4766C2214yescomplemented
81#4763C2214yescomplemented
82#4761C2214yescomplemented
83#4759C2214yescomplemented
84#4756C2214yes—
85#4756C2214yes—
86#3501—31no—
87#3501—31no—
88#3389—34no—
89#3389—34no—
90#3384—34no—
91#3384—34no—
92#3163—32no—
93#3162—31no—
94#3081—32no—
95#3081—32no—
96#3077—31no—
97#3077D311yescharacteristic, complemented
98#2961—31no—
99#2948—32no—
100C2×#442—31no—
101C22×C3×D4C2311yescharacteristic
102C23×C3×C4—21no—
103C2×D3×Q8—22no—
104C22×D12C2311yescharacteristic
105C22×C4×D3—21no—
106C22×Dic6—22no—
107C2×C3×M16C2312yes—
108C3×C4⋊Q8C2311yescharacteristic
109C3×C4⋊Q8C2311yescharacteristic
110C3×#125C2312yes—
111C3×C22⋊Q8—21no—
112C3×C22⋊Q8—21no—
113C3×C4×Q8—21no—
114C3×C4×Q8—21no—
115C3×C4×D4—21no—
116C3×C4×D4—21no—
117C3×C4×D4C2312yes—
118C3×C4×D4C2312yes—
119C3×#117C2312yes—
120C2×C3×C4⋊C4C2311yescharacteristic
121C2×C3×C22⋊C4—21no—
122C2×C3×C42C2311yescharacteristic
123C2×#217—24no—
124#946—22no—
125#946—24no—
126D4×Dic3—22no—
127D4×Dic3—22no—
128D4×Dic3C2314yes—
129D4×Dic3C2314yes—
130C2×#213Q818yescomplemented
131C2×#213C2314yes—
132C2×(C2×D3)⋊C4—21no—
133#926C2312yes—
134#926C2312yes—
135C2×C4⋊Dic3—22no—
136C2×C4⋊Dic3C2311yescharacteristic
137#924—21no—
138#924—21no—
139#924—22no—
140#924—24no—
141#924—22no—
142#924—24no—
143#924D412yes—
144#924D412yes—
145C2×Dic3⋊C4—24no—
146C22×C3⋊C8C2311yescharacteristic
147C22×C3⋊C8C2311yescharacteristic
148#897—22no—
149#897—24no—
150#896—24no—
151#896—24no—
152#896—24no—
153#893C2314yes—
154#893C2314yes—
155D3×C4⋊C4—22no—
156D3×C4⋊C4—24no—
157#890—22no—
158#890C2314yes—
159#890C2314yes—
160#888—22no—
161#888C2314yes—
162#888C2314yes—
163D3×C22⋊C4—24no—
164#878—24no—
165#878—24no—
166#878—24no—
167#878—24no—
168#878—24no—
169C4×D12—21no—
170C4×D12—21no—
171C4×D12—22no—
172C4×D12—22no—
173C4×D12C2312yes—
174C4×D12C2312yes—
175#870—22no—
176#870D412yes—
177#870C2312yes—
178#869—22no—
179#869D411yescharacteristic
180#869D411yescharacteristic
181#869C2311yescharacteristic
182#869C2311yescharacteristic
183C4×Dic6—21no—
184C4×Dic6—21no—
185C4×Dic6C2312yes—
186C4×Dic6C2312yes—
187C3×#107C2314yes—
188C3×#106C2314yes—
189C3×C4⋊C8C2312yes—
190C3×C4⋊C8C2312yes—
191C3×#102C2314yes—
192C3×#102C2314yes—
193#832C2314yes—
194#821C2314yes—
195#821C2314yes—
196#818C2314yes—
197#817C2314yes—
198#815C2314yes—
199Dic3⋊C8C2314yes—
200Dic3⋊C8C2314yes—
201C8×Dic3C2314yes—
202#809C2314yes—
203#808C2312yes—
204#808C2314yes—
205#808C2312yes—
206#808C2312yes—
207#808C2312yes—
208#807C2312yes—
209#807C2312yes—
210#807C2312yes—
211#807C2312yes—
212#803C2312yes—
213#803C2312yes—
214C22×D8—31no—
215#554—32no—
216#554—34no—
217#554—34no—
218#554—32no—
219#554—62no—
220#554—61no—
221#554—62no—
222#554—61no—
223D4×Q8—32no—
224D4×Q8—32no—
225D4×Q8—61no—
226D4×Q8—61no—
227#544—32no—
228#544—32no—
229#543—62no—
230#543—62no—
231#533—31no—
232#533—31no—
233#533C2×D311yescharacteristic
234C2×C22⋊Q8—62no—
235C2×C22⋊Q8—62no—
236#518—32no—
237#518—32no—
238C2×C4×D4—31no—
239C2×C4×D4C2×D311yescharacteristic
240#501—32no—
241#501—32no—
242#501—32no—
243#501—32no—
244#501—34no—
245#501—34no—
246#499—34no—
247#498—34no—
248#478—34no—
249#478—34no—
250#478—34no—
251#478—34no—
252#478—34no—
253#478C2×D314yescomplemented
254#476—34no—
255#476—32no—
256#476—34no—
257#476C2×D312yescomplemented
258#474—34no—
259#474—32no—
260#474—34no—
261#474C2×D312yescomplemented
262#446—34no—
263#446—34no—
264#442—34no—
265#442—34no—
266#442—34no—
267#442—34no—
268C4×D8—34no—
269C4×D8—34no—
270#428—32no—
271#428C2×D312yes—
272#427—32no—
273#427—32no—
274C2×#106—31no—
275#424—32no—
276#423C2×D311yescharacteristic
277#418—32no—
278#418C2×D312yes—
279C2×#102—31no—
280C2×#102—31no—
281#405—32no—
282C2×#97—31no—
283C24×C3—21no—
284C23×D3—21no—
285C2×C3×Q8—21no—
286C2×C3×Q8—21no—
287C2×C3×D4—21no—
288C2×C3×D4—22no—
289C2×C3×D4C2×Q814yescomplemented
290C2×C3×D4C2412yes—
291C22×C3×C4—21no—
292C22×C3×C4—22no—
293C22×C3×C4—22no—
294C22×C3×C4—82no—
295C22×C3×C4C2×D411yescharacteristic
296C22×C3×C4C2×D411yescharacteristic
297C22×C3×C4C2411yescharacteristic
298C22×Dic3—21no—
299C22×Dic3—24no—
300C22×Dic3—24no—
301D3×Q8—84no—
302C2×D12—21no—
303C2×D12—22no—
304C2×D12C2×Q814yescomplemented
305C2×D12C2412yes—
306C2×C4×D3—22no—
307C2×C4×D3—22no—
308C2×C4×D3—24no—
309C2×C4×D3—24no—
310C2×C4×D3—82no—
311C2×Dic6—21no—
312C2×Dic6—21no—
313C2×Dic6—24no—
314C2×Dic6—24no—
315C2×Dic6—84no—
316C2×Dic6C2×D412yes—
317C2×Dic6C2×D412yes—
318C3×M16—24no—
319C2×C3×C8C2414yes—
320C3×C4⋊C4—21no—
321C3×C4⋊C4—22no—
322C3×C4⋊C4—21no—
323C3×C4⋊C4—21no—
324C3×C4⋊C4—22no—
325C3×C4⋊C4C2412yes—
326C3×C4⋊C4C2412yes—
327C3×C4⋊C4C2412yes—
328C3×C22⋊C4—22no—
329C3×C22⋊C4—22no—
330C3×C22⋊C4—22no—
331C3×C42—22no—
332C3×C42C2×D411yescharacteristic
333C3×C42C2×D411yescharacteristic
334C3×C42C2411yescharacteristic
335C3×C42C2411yescharacteristic
336#217—22no—
337#217—24no—
338#217—24no—
339#217C2×D414yes—
340#213C2×Q8116yescomplemented
341(C2×D3)⋊C4—22no—
342(C2×D3)⋊C4—22no—
343(C2×D3)⋊C4—24no—
344(C2×D3)⋊C4—24no—
345C4⋊Dic3—21no—
346C4⋊Dic3—21no—
347C4⋊Dic3—21no—
348C4⋊Dic3—24no—
349C4⋊Dic3—24no—
350C4⋊Dic3C2×D412yes—
351C4⋊Dic3C2×D412yes—
352C4⋊Dic3C2×D412yes—
353C4⋊Dic3C2×D412yes—
354C4⋊Dic3C2412yes—
355C4⋊Dic3C2412yes—
356C4⋊Dic3C2412yes—
357Dic3⋊C4—22no—
358Dic3⋊C4—22no—
359Dic3⋊C4—24no—
360Dic3⋊C4—24no—
361Dic3⋊C4—24no—
362Dic3⋊C4—24no—
363Dic3⋊C4C2×D414yes—
364Dic3⋊C4C2×D414yes—
365C4×Dic3—22no—
366C4×Dic3C2414yes—
367C2×C3⋊C8—22no—
368C2×C3⋊C8C2×Q814yescomplemented
369C2×C3⋊C8C2412yes—
370C2×C3⋊C8C2412yes—
371C22×Q8—62no—
372C22×Q8—62no—
373C22×D4—31no—
374C22×D4C22×D311yescharacteristic
375C23×C4—21no—
376C23×C4—61no—
377C2×D8—38no—
378C2×D8—34no—
379C2×M16C22×D312yes—
380C22×C8—31no—
381C22×C8—31no—
382C4⋊Q8—34no—
383C4⋊Q8—34no—
384C4⋊Q8—31no—
385C4⋊Q8—31no—
386C4⋊Q8—31no—
387C4⋊Q8—31no—
388C4⋊Q8—62no—
389C4⋊Q8—62no—
390C4⋊Q8C22×D311yescharacteristic
391C4⋊Q8C22×D311yescharacteristic
392#125—34no—
393#125—34no—
394#125—32no—
395#125—32no—
396#125—62no—
397#125—62no—
398#125C22×D312yes—
399C22⋊Q8—21no—
400C22⋊Q8—21no—
401C22⋊Q8—32no—
402C22⋊Q8—32no—
403C22⋊Q8—64no—
404C22⋊Q8—64no—
405C22⋊Q8—64no—
406C22⋊Q8—64no—
407C22⋊Q8—64no—
408C22⋊Q8—64no—
409C22⋊Q8—64no—
410C22⋊Q8—64no—
411C22⋊Q8—64no—
412C22⋊Q8—62no—
413C22⋊Q8—64no—
414C22⋊Q8—62no—
415C22⋊Q8—64no—
416C22⋊Q8—62no—
417C22⋊Q8—64no—
418C22⋊Q8—62no—
419C22⋊Q8—61no—
420C22⋊Q8—61no—
421C4×Q8—21no—
422C4×Q8—21no—
423C4×Q8—32no—
424C4×Q8—32no—
425C4×Q8—61no—
426C4×Q8—61no—
427C4×D4—21no—
428C4×D4—21no—
429C4×D4—34no—
430C4×D4—34no—
431C4×D4—34no—
432C4×D4—34no—
433C4×D4—32no—
434C4×D4—32no—
435C4×D4—62no—
436C4×D4—62no—
437C4×D4—62no—
438C4×D4—62no—
439C4×D4—61no—
440C4×D4—61no—
441C4×D4C22×D312yes—
442C4×D4C22×D312yes—
443#117—32no—
444#117—32no—
445#117C22×D312yes—
446C2×C4⋊C4—31no—
447C2×C4⋊C4—64no—
448C2×C4⋊C4—62no—
449C2×C4⋊C4—64no—
450C2×C4⋊C4—62no—
451C2×C4⋊C4C22×D311yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—64no—
454C2×C22⋊C4—64no—
455C2×C22⋊C4—61no—
456C2×C42C22×D311yescharacteristic
457#107—34no—
458#107—32no—
459#107—32no—
460#107—32no—
461#107—32no—
462#107C22×D314yes—
463#106—34no—
464#106—34no—
465#106—32no—
466#106—32no—
467#106—32no—
468#106—32no—
469#106C22×D314yes—
470C4⋊C8—34no—
471C4⋊C8—34no—
472C4⋊C8C22×D312yes—
473C4⋊C8C22×D312yes—
474#102—34no—
475#102—34no—
476#102—34no—
477#102—34no—
478#102C22×D314yes—
479#102C22×D314yes—
480#97—34no—
481#97—32no—
482#97—32no—
483C4×C8—34no—
484C23×C3—22no—
485C23×C3—24no—
486C23×C3—81no—
487C23×C3—81no—
488C23×C3C22×D411yescharacteristic
489C22×D3—22no—
490C22×D3—24no—
491C22×D3—81no—
492C22×D3—81no—
493C3×Q8—42no—
494C3×Q8—81no—
495C3×D4—24no—
496C3×D4—22no—
497C3×D4C22×Q814yes—
498C2×C3×C4—22no—
499C2×C3×C4—22no—
500C2×C3×C4—22no—
501C2×C3×C4—41no—
502C2×C3×C4—41no—
503C2×C3×C4—44no—
504C2×C3×C4—82no—
505C2×C3×C4—81no—
506C2×C3×C4C22×D411yescharacteristic
507C2×C3×C4C22×D411yescharacteristic
508C2×C3×C4C22×D411yescharacteristic
509C2×C3×C4C22×D411yescharacteristic
510C2×C3×C4C22×D411yescharacteristic
511C2×C3×C4C22×Q812yes—
512C2×C3×C42−1+412yes—
513C2×C3×C4C2511yescharacteristic
514C2×Dic3—22no—
515C2×Dic3—22no—
516C2×Dic3—22no—
517C2×Dic3—84no—
518C2×Dic3—84no—
519C2×Dic3—81no—
520C2×Dic3C22×D414yes—
521C2×Dic3C22×D414yes—
522D12—24no—
523D12—22no—
524D12C22×Q814yes—
525C4×D3—44no—
526C4×D3—84no—
527C4×D3—84no—
528C4×D3—82no—
529Dic6—42no—
530Dic6—42no—
531Dic6—42no—
532Dic6—84no—
533Dic6—84no—
534Dic6—81no—
535C3×C8—24no—
536C3⋊C8—22no—
537C3⋊C8C22×Q814yes—
538C24—21no—
539C24—61no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—32no—
543C2×Q8—32no—
544C2×Q8—64no—
545C2×Q8—64no—
546C2×Q8—61no—
547C2×Q8—61no—
548C2×Q8—244no—
549C2×Q8—244no—
550C2×D4—21no—
551C2×D4—22no—
552C2×D4—34no—
553C2×D4—32no—
554C2×D4—61no—
555C2×D4—62no—
556C2×D4D3×Q814yescomplemented
557C2×D4C23×D312yes—
558C22×C4—21no—
559C22×C4—22no—
560C22×C4—22no—
561C22×C4—64no—
562C22×C4—64no—
563C22×C4—64no—
564C22×C4—64no—
565C22×C4—61no—
566C22×C4—62no—
567C22×C4—62no—
568C22×C4—82no—
569C22×C4—242no—
570C22×C4D3×D411yescharacteristic
571C22×C4D3×D411yescharacteristic
572C22×C4C23×D311yescharacteristic
573D8—316no—
574M16—24no—
575C2×C8—34no—
576C2×C8—32no—
577C2×C8—32no—
578C2×C8—62no—
579C2×C8C23×D314yes—
580C4⋊C4—22no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—22no—
584C4⋊C4—21no—
585C4⋊C4—34no—
586C4⋊C4—34no—
587C4⋊C4—32no—
588C4⋊C4—32no—
589C4⋊C4—32no—
590C4⋊C4—32no—
591C4⋊C4—32no—
592C4⋊C4—32no—
593C4⋊C4—32no—
594C4⋊C4—64no—
595C4⋊C4—64no—
596C4⋊C4—64no—
597C4⋊C4—64no—
598C4⋊C4—64no—
599C4⋊C4—64no—
600C4⋊C4—61no—
601C4⋊C4—62no—
602C4⋊C4—61no—
603C4⋊C4—62no—
604C4⋊C4—61no—
605C4⋊C4C23×D312yes—
606C4⋊C4C23×D312yes—
607C4⋊C4C23×D312yes—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—34no—
612C22⋊C4—64no—
613C22⋊C4—64no—
614C22⋊C4—64no—
615C22⋊C4—64no—
616C22⋊C4—62no—
617C22⋊C4—62no—
618C22⋊C4—62no—
619C42—22no—
620C42—34no—
621C42—62no—
622C42D3×D411yescharacteristic
623C42D3×D411yescharacteristic
624C42C23×D311yescharacteristic
625C42C23×D311yescharacteristic
626C22×C3—21no—
627C22×C3—21no—
628C22×C3—24no—
629C22×C3—42no—
630C22×C3—42no—
631C22×C3—84no—
632C22×C3D4×Q812yes—
633C22×C3C23×D411yescharacteristic
634C2×D3—24no—
635C2×D3—42no—
636C2×D3—42no—
637C2×D3—84no—
638C3×C4—21no—
639C3×C4—21no—
640C3×C4—21no—
641C3×C4—21no—
642C3×C4—42no—
643C3×C4—42no—
644C3×C4—42no—
645C3×C4D4×Q812yes—
646C3×C4C23×Q811yescharacteristic
647C3×C4C2×2−1+411yescharacteristic
648Dic3—24no—
649Dic3—24no—
650Dic3—42no—
651Dic3—42no—
652Dic3—42no—
653C23—22no—
654C23—24no—
655C23—62no—
656C23—64no—
657C23—81no—
658C23—81no—
659C23—241no—
660C23—241no—
661C23C2×D3×D411yescharacteristic
662Q8—42no—
663Q8—81no—
664Q8—122no—
665Q8—122no—
666Q8—122no—
667Q8—241no—
668Q8—244no—
669Q8—244no—
670D4—24no—
671D4—22no—
672D4—34no—
673D4—64no—
674D4—62no—
675D4C2×D3×Q814yes—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—34no—
680C2×C4—34no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—44no—
684C2×C4—62no—
685C2×C4—62no—
686C2×C4—62no—
687C2×C4—82no—
688C2×C4—81no—
689C2×C4—124no—
690C2×C4—242no—
691C2×C4—244no—
692C2×C4—244no—
693C2×C4—244no—
694C2×C4—244no—
695C2×C4—241no—
696C2×C4C2×D3×D411yescharacteristic
697C2×C4C2×D3×D411yescharacteristic
698C2×C4C2×D3×D411yescharacteristic
699C2×C4C2×D3×D411yescharacteristic
700C2×C4C2×D3×D411yescharacteristic
701C2×C4C2×D3×Q812yes—
702C2×C4#101012yes—
703C2×C4C24×D311yescharacteristic
704C8—24no—
705C8—34no—
706C8—62no—
707C2×C3—22no—
708C2×C3—44no—
709C2×C3C2×D4×Q811yescharacteristic
710C2×C3#358511yescharacteristic
711C2×C3#358511yescharacteristic
712D3—44no—
713C22—21no—
714C22—21no—
715C22—24no—
716C22—42no—
717C22—42no—
718C22—64no—
719C22—84no—
720C22—122no—
721C22—122no—
722C22—244no—
723C22#563212yes—
724C22C22×D3×D411yescharacteristic
725C4—21no—
726C4—21no—
727C4—21no—
728C4—21no—
729C4—42no—
730C4—42no—
731C4—42no—
732C4—64no—
733C4—64no—
734C4—122no—
735C4—122no—
736C4—122no—
737C4#563212yes—
738C4C22×D3×Q811yescharacteristic
739C4C2×#101011yescharacteristic
740C3#6137811yescharacteristic, complemented, Sylow
741C2—22no—
742C2—44no—
743C2—124no—
744C2C2×#563211yescharacteristic
745C2#8719211yescharacteristic
746C2#8720011yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3077C2
socleC22×C3C23×D4
prime radicalC22×#213C22
hypercenter#3077D3
hypocenterC3#61378
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3077

Complements

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

NH ≅ G/Ntype
1. #86280C2semidirect
2. #85766C2semidirect
3. C3×#3077C2semidirect
4. #83340C2semidirect
6. #81163C2semidirect
7. #81158C2semidirect
8. #81055C2semidirect
9. #80962C2semidirect
10. #79242C2semidirect
11. #79205C2semidirect
12. #79059C2semidirect
13. #79045C2semidirect
14. #78918C2semidirect
22. #5730C22semidirect
23. #5727C22semidirect
24. #5690C22semidirect
31. #5543C22semidirect
33. #5539C22semidirect
35. D4×Dic6C22semidirect
43. C3×#478C22semidirect
44. C3×#476C22semidirect
45. C3×#474C22semidirect
54. #5081C22semidirect
55. #5081C22semidirect
56. #5064C22semidirect
57. #5064C22semidirect
65. #4891C22semidirect
66. #4890C22semidirect
67. #4878C22semidirect
68. #4876C22semidirect
69. #4871C22semidirect
70. #4870C22semidirect
71. #4856C22semidirect
72. #4855C22semidirect
73. #4847C22semidirect
74. #4846C22semidirect
75. #4842C22semidirect
76. #4828C22semidirect
77. #4828C22semidirect
80. #4766C22semidirect
81. #4763C22semidirect
82. #4761C22semidirect
83. #4759C22semidirect
97. #3077D3semidirect
130. C2×#213Q8semidirect
253. #478C2×D3semidirect
257. #476C2×D3semidirect
261. #474C2×D3semidirect
289. C2×C3×D4C2×Q8semidirect
304. C2×D12C2×Q8semidirect
340. #213C2×Q8semidirect
368. C2×C3⋊C8C2×Q8semidirect
556. C2×D4D3×Q8semidirect
740. C3#61378semidirect

Maximal subgroups

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

subgroupindex
#862802
#857662
C3×#30772
#833402
C2×#50142
#811632
#811582
#810552
#809622
#792422
#792052
#790592
#790452
#789182
#789152
#613783