Finite Group Databasebeta

← #11675841

Subgroups — #11675841

Order 768.

1750 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86258C211yesmaximal, characteristic, complemented
2#85766C211yesmaximal, characteristic
3C3×#3077C211yesmaximal, characteristic
4#83339C211yesmaximal, characteristic, complemented
5C2×C4×#214C211yesmaximal, characteristic
6#81160C214yesmaximal, complemented
7#81157C214yesmaximal, complemented
8#81056C212yesmaximal, complemented
9#81053C212yesmaximal, complemented
10#80961C212yesmaximal, complemented
11#80958C212yesmaximal, complemented
12#79246C212yesmaximal, complemented
13#79205C212yesmaximal, complemented
14#79068C211yesmaximal, characteristic, complemented
15#79044C211yesmaximal, characteristic, complemented
16#78918C212yesmaximal
17#78916C212yesmaximal
18#61371—31nomaximal, Sylow
19C3×#533C2211yescharacteristic
20C2×C3×C4×D4C2211yescharacteristic
21#5798C2212yes—
22C22×#214C2211yescharacteristic
23C2×#924—22no—
24#5722C2212yescomplemented
25#5721C2212yescomplemented
26#5685C2214yescomplemented
27#5623—22no—
28#5622—22no—
29#5567—22no—
30#5567—21no—
31Q8×Dic6—21no—
32#5543—21no—
33#5543C2212yes—
34#5539—22no—
35#5539C2214yes—
36D4×Dic6—21no—
37D4×Dic6C2212yes—
38#5519C2212yes—
39#5516C2212yes—
40#5500C2212yes—
41#5483—22no—
42#5470C2211yescharacteristic
43#5470C2211yescharacteristic
44C2×C4×Dic6C2211yescharacteristic
45C3×#478C2214yes—
46C3×#476C2212yes—
47C3×#474C2212yes—
48C3×#428C2212yes—
49C3×#423C2211yescharacteristic
50C3×#418C2212yes—
51C2×#832C2211yescharacteristic
52#5122C2212yes—
53#5121C2212yes—
54#5120C2212yes—
55#5119C2212yes—
56#5080C2211yescharacteristic, complemented
57#5080C2211yescharacteristic, complemented
58#5078C2211yescharacteristic, complemented
59#5078C2211yescharacteristic, complemented
60#5065C2212yescomplemented
61#5065C2212yescomplemented
62C4×#214C2212yes—
63C4×#214C2212yes—
64C4×#214C2212yes—
65C4×#214C2212yes—
66#4998C2212yes—
67#4998C2212yes—
68C2×#810C2211yescharacteristic
69C2×#808C2211yescharacteristic
70C2×C4×C3⋊C8C2211yescharacteristic
71#4878C2214yescomplemented
72#4877C2214yescomplemented
73#4876C2214yescomplemented
74#4875C2214yescomplemented
75#4857C2214yescomplemented
76#4856C2214yescomplemented
77#4855C2214yescomplemented
78#4854C2214yescomplemented
79#4851C2212yescomplemented
80#4850C2212yescomplemented
81#4831C2212yescomplemented
82#4831C2212yescomplemented
83#4830C2212yescomplemented
84#4830C2212yescomplemented
85#4829C2214yescomplemented
86#4766C2214yes—
87#4763C2214yes—
88#4761C2214yes—
89#4759C2214yes—
90#4758C2214yes—
91#4758C2214yes—
92#4757C2214yes—
93#4757C2214yes—
94#3502—31no—
95#3501—31no—
96#3388—34no—
97#3386—32no—
98#3385—32no—
99#3381—34no—
100#3381—32no—
101Q8×SD16—32no—
102#3163—32no—
103#3160—31no—
104#3082—32no—
105#3081—32no—
106#3078—31no—
107#3077D311yescharacteristic
108#2960—31no—
109#2949—32no—
110C2×C4×SD16—31no—
111C22×C3×D4C2311yescharacteristic
112C23×C3×C4—21no—
113C22×Dic6—22no—
114C22×Dic6C2311yescharacteristic
115C2×C3×M16C2312yes—
116C3×C4⋊Q8C2311yescharacteristic
117C3×C4⋊Q8C2311yescharacteristic
118C3×#125C2312yes—
119C3×C22⋊Q8—21no—
120C3×C22⋊Q8—21no—
121C3×C4×Q8—21no—
122C3×C4×Q8—21no—
123C3×C4×D4—21no—
124C3×C4×D4—21no—
125C3×C4×D4C2312yes—
126C3×C4×D4C2312yes—
127C3×#117C2312yes—
128C2×C3×C4⋊C4C2311yescharacteristic
129C2×C3×C22⋊C4—21no—
130C2×C3×C42C2311yescharacteristic
131C2×#217—24no—
132Q8×Dic3—22no—
133#944—22no—
134#944—24no—
135D4×Dic3—22no—
136D4×Dic3—22no—
137D4×Dic3C2314yes—
138D4×Dic3C2314yes—
139C2×#214Q818yescomplemented
140C2×#214C2312yes—
141C2×#214C2312yes—
142#926C2312yes—
143#926C2312yes—
144C2×C4⋊Dic3—22no—
145C2×C4⋊Dic3C2311yescharacteristic
146#924—21no—
147#924—21no—
148#924—22no—
149#924—24no—
150#924—22no—
151#924—24no—
152#924D412yes—
153#924D412yes—
154C2×Dic3⋊C4—21no—
155C2×Dic3⋊C4—24no—
156C2×C4×Dic3—21no—
157C22×C3⋊C8C2311yescharacteristic
158C22×C3⋊C8C2311yescharacteristic
159#890—22no—
160#890C2314yes—
161#890C2314yes—
162#889—24no—
163#889—24no—
164#889—24no—
165#888—24no—
166#888—22no—
167#888—22no—
168#888C2314yes—
169#888C2314yes—
170#887—22no—
171#887—24no—
172#887C2314yes—
173#887C2314yes—
174#878—24no—
175#878—24no—
176#878—24no—
177#878—24no—
178#878—24no—
179#877—24no—
180#870—22no—
181#870D412yes—
182#870C2312yes—
183#869—22no—
184#869D411yescharacteristic
185#869D411yescharacteristic
186#869C2311yescharacteristic
187#869C2311yescharacteristic
188C4×Dic6—21no—
189C4×Dic6—21no—
190C4×Dic6—21no—
191C4×Dic6—21no—
192C4×Dic6—22no—
193C4×Dic6—22no—
194C4×Dic6C2312yes—
195C4×Dic6C2312yes—
196C4×Dic6C2312yes—
197C4×Dic6C2312yes—
198C3×#107C2314yes—
199C3×#106C2314yes—
200C3×C4⋊C8C2312yes—
201C3×C4⋊C8C2312yes—
202C3×#102C2314yes—
203C3×#102C2314yes—
204#832C2312yes—
205#832C2312yes—
206#818C2314yes—
207#817C2314yes—
208#816C2314yes—
209#816C2314yes—
210#815C2314yes—
211Dic3⋊C8C2314yes—
212Dic3⋊C8C2314yes—
213C8×Dic3C2314yes—
214#810C2312yes—
215#810C2312yes—
216#808C2312yes—
217#808C2312yes—
218#808C2312yes—
219#808C2312yes—
220#808C2312yes—
221#808C2312yes—
222#807C2312yes—
223#807C2312yes—
224#807C2312yes—
225#807C2312yes—
226C4×C3⋊C8C2311yescharacteristic
227C4×C3⋊C8C2311yescharacteristic
228C4×C3⋊C8C2311yescharacteristic
229C4×C3⋊C8C2311yescharacteristic
230C22×SD16—31no—
231Q82—32no—
232Q82—61no—
233#557—32no—
234#557—34no—
235#557—62no—
236#557—61no—
237#554—32no—
238#554—34no—
239#554—62no—
240#554—61no—
241D4×Q8—32no—
242D4×Q8—61no—
243#544—32no—
244#544—32no—
245#544—62no—
246#543—62no—
247#533—31no—
248#533—31no—
249#533—62no—
250#533C2×D311yescharacteristic
251C2×C22⋊Q8—62no—
252#519—32no—
253#518—32no—
254C2×C4×Q8—31no—
255C2×C4×D4C2×D311yescharacteristic
256#501—34no—
257#501—34no—
258#500—31no—
259#500—31no—
260#499—32no—
261#499—32no—
262#499—34no—
263#498—31no—
264#498—31no—
265#498—34no—
266#479—34no—
267#479—34no—
268#479—34no—
269#478—34no—
270#478—34no—
271#478C2×D314yes—
272#477—34no—
273#477—32no—
274#476—34no—
275#476C2×D312yes—
276#475—34no—
277#475—32no—
278#474—34no—
279#474C2×D312yes—
280#446—32no—
281#446—32no—
282C8×Q8—32no—
283C8×Q8—32no—
284#440—34no—
285#440—34no—
286C4×SD16—32no—
287C4×SD16—32no—
288C4×SD16—32no—
289C4×SD16—32no—
290C4×SD16—34no—
291C4×SD16—34no—
292#428—32no—
293#428C2×D312yes—
294#427—32no—
295#427—32no—
296C2×#106—31no—
297#424—32no—
298#423C2×D311yescharacteristic
299#419—32no—
300#418C2×D312yes—
301C2×#103—31no—
302C2×#102—31no—
303#405—32no—
304C2×C4×C8—31no—
305C24×C3—21no—
306C2×C3×Q8—21no—
307C2×C3×Q8—21no—
308C2×C3×D4—21no—
309C2×C3×D4—22no—
310C2×C3×D4C2×Q814yes—
311C2×C3×D4C2412yes—
312C22×C3×C4—21no—
313C22×C3×C4—22no—
314C22×C3×C4—22no—
315C22×C3×C4—82no—
316C22×C3×C4C2×D411yescharacteristic
317C22×C3×C4C2×D411yescharacteristic
318C22×C3×C4C2411yescharacteristic
319C22×Dic3—21no—
320C22×Dic3—21no—
321C22×Dic3—24no—
322C22×Dic3—24no—
323C2×Dic6—21no—
324C2×Dic6—22no—
325C2×Dic6—21no—
326C2×Dic6—21no—
327C2×Dic6—24no—
328C2×Dic6—24no—
329C2×Dic6—84no—
330C2×Dic6C2×D412yes—
331C2×Dic6C2×D412yes—
332C2×Dic6C2×Q814yescomplemented
333C2×Dic6C2412yes—
334C3×M16—24no—
335C2×C3×C8C2414yes—
336C3×C4⋊C4—21no—
337C3×C4⋊C4—22no—
338C3×C4⋊C4—22no—
339C3×C4⋊C4—21no—
340C3×C4⋊C4—21no—
341C3×C4⋊C4C2412yes—
342C3×C4⋊C4C2412yes—
343C3×C4⋊C4C2412yes—
344C3×C22⋊C4—22no—
345C3×C22⋊C4—22no—
346C3×C22⋊C4—22no—
347C3×C42—22no—
348C3×C42C2×D411yescharacteristic
349C3×C42C2×D411yescharacteristic
350C3×C42C2411yescharacteristic
351C3×C42C2411yescharacteristic
352#217—22no—
353#217—24no—
354#217—24no—
355#217C2×D414yes—
356#214C2×Q818yescomplemented
357#214C2×Q818yescomplemented
358C4⋊Dic3—21no—
359C4⋊Dic3—21no—
360C4⋊Dic3—21no—
361C4⋊Dic3—24no—
362C4⋊Dic3—24no—
363C4⋊Dic3C2×D412yes—
364C4⋊Dic3C2×D412yes—
365C4⋊Dic3C2×D412yes—
366C4⋊Dic3C2×D412yes—
367C4⋊Dic3C2412yes—
368C4⋊Dic3C2412yes—
369C4⋊Dic3C2412yes—
370Dic3⋊C4—22no—
371Dic3⋊C4—22no—
372Dic3⋊C4—22no—
373Dic3⋊C4—22no—
374Dic3⋊C4—24no—
375Dic3⋊C4—24no—
376Dic3⋊C4—24no—
377Dic3⋊C4—24no—
378Dic3⋊C4—24no—
379Dic3⋊C4—24no—
380Dic3⋊C4C2×D414yes—
381Dic3⋊C4C2×D414yes—
382C4×Dic3—22no—
383C4×Dic3—22no—
384C4×Dic3—22no—
385C4×Dic3—24no—
386C4×Dic3—24no—
387C4×Dic3C2414yes—
388C2×C3⋊C8—22no—
389C2×C3⋊C8C2×Q814yescomplemented
390C2×C3⋊C8C2411yescharacteristic
391C2×C3⋊C8C2411yescharacteristic
392C2×C3⋊C8C2411yescharacteristic
393C2×C3⋊C8C2411yescharacteristic
394C22×Q8—31no—
395C22×Q8—62no—
396C22×D4C22×D311yescharacteristic
397C23×C4—21no—
398C2×SD16—38no—
399C2×SD16—32no—
400C2×SD16—32no—
401C2×M16C22×D312yes—
402C22×C8—31no—
403C22×C8—31no—
404C4⋊Q8—34no—
405C4⋊Q8—34no—
406C4⋊Q8—31no—
407C4⋊Q8—31no—
408C4⋊Q8—31no—
409C4⋊Q8—31no—
410C4⋊Q8—62no—
411C4⋊Q8—62no—
412C4⋊Q8—62no—
413C4⋊Q8—64no—
414C4⋊Q8—64no—
415C4⋊Q8—62no—
416C4⋊Q8C22×D311yescharacteristic
417C4⋊Q8C22×D311yescharacteristic
418#125—34no—
419#125—34no—
420#125—32no—
421#125—32no—
422#125—62no—
423#125—64no—
424#125—62no—
425#125—64no—
426#125—64no—
427#125C22×D312yes—
428C22⋊Q8—21no—
429C22⋊Q8—21no—
430C22⋊Q8—32no—
431C22⋊Q8—32no—
432C22⋊Q8—64no—
433C22⋊Q8—64no—
434C22⋊Q8—64no—
435C22⋊Q8—64no—
436C22⋊Q8—64no—
437C22⋊Q8—64no—
438C22⋊Q8—62no—
439C22⋊Q8—64no—
440C22⋊Q8—62no—
441C22⋊Q8—61no—
442C22⋊Q8—61no—
443C4×Q8—21no—
444C4×Q8—21no—
445C4×Q8—32no—
446C4×Q8—32no—
447C4×Q8—34no—
448C4×Q8—34no—
449C4×Q8—32no—
450C4×Q8—32no—
451C4×Q8—62no—
452C4×Q8—62no—
453C4×Q8—64no—
454C4×Q8—62no—
455C4×Q8—62no—
456C4×Q8—61no—
457C4×Q8—61no—
458C4×Q8—61no—
459C4×Q8—61no—
460C4×D4—21no—
461C4×D4—21no—
462C4×D4—34no—
463C4×D4—34no—
464C4×D4—62no—
465C4×D4—62no—
466C4×D4C22×D312yes—
467C4×D4C22×D312yes—
468#117—32no—
469#117—32no—
470#117—64no—
471#117C22×D312yes—
472C2×C4⋊C4—31no—
473C2×C4⋊C4—64no—
474C2×C4⋊C4—62no—
475C2×C4⋊C4—61no—
476C2×C4⋊C4C22×D311yescharacteristic
477C2×C22⋊C4—21no—
478C2×C22⋊C4—64no—
479C2×C42—61no—
480C2×C42C22×D311yescharacteristic
481#107—34no—
482#107—32no—
483#107—32no—
484#107—32no—
485#107—32no—
486#107C22×D314yes—
487#106—34no—
488#106—32no—
489#106—32no—
490#106—32no—
491#106—32no—
492#106—32no—
493#106—32no—
494#106C22×D314yes—
495C4⋊C8—34no—
496C4⋊C8—34no—
497C4⋊C8C22×D312yes—
498C4⋊C8C22×D312yes—
499#103—34no—
500#103—34no—
501#103—32no—
502#103—32no—
503#102—32no—
504#102—32no—
505#102C22×D314yes—
506#102C22×D314yes—
507#97—34no—
508C4×C8—34no—
509C4×C8—31no—
510C4×C8—31no—
511C4×C8—31no—
512C4×C8—31no—
513C23×C3—22no—
514C23×C3—24no—
515C23×C3—81no—
516C23×C3—81no—
517C23×C3C22×D411yescharacteristic
518C3×Q8—42no—
519C3×Q8—81no—
520C3×D4—24no—
521C3×D4—22no—
522C3×D4C22×Q814yes—
523C2×C3×C4—22no—
524C2×C3×C4—22no—
525C2×C3×C4—22no—
526C2×C3×C4—22no—
527C2×C3×C4—41no—
528C2×C3×C4—44no—
529C2×C3×C4—82no—
530C2×C3×C4—81no—
531C2×C3×C4C22×D411yescharacteristic
532C2×C3×C4C22×D411yescharacteristic
533C2×C3×C4C22×D411yescharacteristic
534C2×C3×C4C22×D411yescharacteristic
535C2×C3×C4C22×D411yescharacteristic
536C2×C3×C4C22×Q812yes—
537C2×C3×C42−1+412yes—
538C2×C3×C4C2511yescharacteristic
539C2×Dic3—24no—
540C2×Dic3—22no—
541C2×Dic3—22no—
542C2×Dic3—22no—
543C2×Dic3—22no—
544C2×Dic3—84no—
545C2×Dic3—84no—
546C2×Dic3—81no—
547C2×Dic3C22×D414yes—
548C2×Dic3C22×D414yes—
549Dic6—24no—
550Dic6—24no—
551Dic6—22no—
552Dic6—42no—
553Dic6—42no—
554Dic6—84no—
555Dic6—84no—
556Dic6—81no—
557Dic6C22×Q814yes—
558C3×C8—24no—
559C3⋊C8—21no—
560C3⋊C8—21no—
561C3⋊C8C22×Q812yes—
562C3⋊C8C22×Q812yes—
563C24—21no—
564C2×Q8—21no—
565C2×Q8—21no—
566C2×Q8—32no—
567C2×Q8—32no—
568C2×Q8—34no—
569C2×Q8—32no—
570C2×Q8—64no—
571C2×Q8—64no—
572C2×Q8—61no—
573C2×Q8—61no—
574C2×Q8—61no—
575C2×Q8—62no—
576C2×Q8—244no—
577C2×D4—21no—
578C2×D4—22no—
579C2×D4D3×Q814yes—
580C2×D4C23×D312yes—
581C22×C4—21no—
582C22×C4—22no—
583C22×C4—22no—
584C22×C4—64no—
585C22×C4—64no—
586C22×C4—61no—
587C22×C4—61no—
588C22×C4—82no—
589C22×C4D3×D411yescharacteristic
590C22×C4D3×D411yescharacteristic
591C22×C4C23×D311yescharacteristic
592SD16—38no—
593SD16—38no—
594M16—24no—
595C2×C8—34no—
596C2×C8—31no—
597C2×C8—31no—
598C2×C8—31no—
599C2×C8—31no—
600C2×C8—62no—
601C2×C8C23×D314yes—
602C4⋊C4—21no—
603C4⋊C4—22no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—22no—
607C4⋊C4—34no—
608C4⋊C4—32no—
609C4⋊C4—32no—
610C4⋊C4—32no—
611C4⋊C4—34no—
612C4⋊C4—32no—
613C4⋊C4—32no—
614C4⋊C4—32no—
615C4⋊C4—32no—
616C4⋊C4—64no—
617C4⋊C4—64no—
618C4⋊C4—64no—
619C4⋊C4—64no—
620C4⋊C4—64no—
621C4⋊C4—64no—
622C4⋊C4—64no—
623C4⋊C4—64no—
624C4⋊C4—61no—
625C4⋊C4—62no—
626C4⋊C4—61no—
627C4⋊C4—62no—
628C4⋊C4—62no—
629C4⋊C4—62no—
630C4⋊C4—61no—
631C4⋊C4C23×D312yes—
632C4⋊C4C23×D312yes—
633C4⋊C4C23×D312yes—
634C22⋊C4—22no—
635C22⋊C4—22no—
636C22⋊C4—22no—
637C22⋊C4—34no—
638C22⋊C4—64no—
639C22⋊C4—64no—
640C22⋊C4—62no—
641C42—22no—
642C42—34no—
643C42—64no—
644C42—64no—
645C42—62no—
646C42—62no—
647C42—62no—
648C42D3×D411yescharacteristic
649C42D3×D411yescharacteristic
650C42C23×D311yescharacteristic
651C42C23×D311yescharacteristic
652C22×C3—21no—
653C22×C3—21no—
654C22×C3—24no—
655C22×C3—42no—
656C22×C3—42no—
657C22×C3—84no—
658C22×C3D4×Q812yes—
659C22×C3C23×D411yescharacteristic
660C3×C4—21no—
661C3×C4—21no—
662C3×C4—21no—
663C3×C4—42no—
664C3×C4—42no—
665C3×C4—42no—
666C3×C4D4×Q812yes—
667C3×C4#57712yes—
668C3×C4C23×Q811yescharacteristic
669C3×C4C2×2−1+411yescharacteristic
670Dic3—24no—
671Dic3—24no—
672Dic3—24no—
673Dic3—42no—
674Dic3—42no—
675Dic3—42no—
676C23—22no—
677C23—24no—
678C23—81no—
679C23—81no—
680C23C2×D3×D411yescharacteristic
681Q8—34no—
682Q8—42no—
683Q8—64no—
684Q8—62no—
685Q8—64no—
686Q8—81no—
687Q8—122no—
688Q8—122no—
689Q8—241no—
690Q8—244no—
691Q8—244no—
692D4—24no—
693D4—22no—
694D4C2×D3×Q814yes—
695C2×C4—22no—
696C2×C4—22no—
697C2×C4—22no—
698C2×C4—22no—
699C2×C4—34no—
700C2×C4—34no—
701C2×C4—41no—
702C2×C4—44no—
703C2×C4—64no—
704C2×C4—62no—
705C2×C4—62no—
706C2×C4—62no—
707C2×C4—62no—
708C2×C4—82no—
709C2×C4—81no—
710C2×C4—244no—
711C2×C4—244no—
712C2×C4—241no—
713C2×C4C2×D3×D411yescharacteristic
714C2×C4C2×D3×D411yescharacteristic
715C2×C4C2×D3×D411yescharacteristic
716C2×C4C2×D3×D411yescharacteristic
717C2×C4C2×D3×D411yescharacteristic
718C2×C4C2×D3×Q812yes—
719C2×C4#101012yes—
720C2×C4C24×D311yescharacteristic
721C8—24no—
722C8—32no—
723C8—32no—
724C8—61no—
725C8—61no—
726C2×C3—22no—
727C2×C3—44no—
728C2×C3C2×D4×Q811yescharacteristic
729C2×C3C2×#57711yescharacteristic
730C2×C3#358411yescharacteristic
731C22—21no—
732C22—21no—
733C22—24no—
734C22—42no—
735C22—42no—
736C22—84no—
737C22#563212yes—
738C22C22×D3×D411yescharacteristic
739C4—21no—
740C4—21no—
741C4—21no—
742C4—42no—
743C4—42no—
744C4—42no—
745C4—64no—
746C4—64no—
747C4—64no—
748C4—122no—
749C4—122no—
750C4—122no—
751C4#563212yes—
752C4#577512yes—
753C4C22×D3×Q811yescharacteristic
754C4C2×#101011yescharacteristic
755C3#6137111yescharacteristic, complemented, Sylow
756C2—22no—
757C2—44no—
758C2C2×#563211yescharacteristic
759C2C2×#577511yescharacteristic
760C2#8719911yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3077C2
socleC22×C3C23×D4
prime radicalC22×C3×D4C23
hypercenter#3077D3
hypocenterC3#61371
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. #86258C2semidirect
4. #83339C2semidirect
6. #81160C2semidirect
7. #81157C2semidirect
8. #81056C2semidirect
9. #81053C2semidirect
10. #80961C2semidirect
11. #80958C2semidirect
12. #79246C2semidirect
13. #79205C2semidirect
14. #79068C2semidirect
15. #79044C2semidirect
24. #5722C22semidirect
25. #5721C22semidirect
26. #5685C22semidirect
56. #5080C22semidirect
57. #5080C22semidirect
58. #5078C22semidirect
59. #5078C22semidirect
60. #5065C22semidirect
61. #5065C22semidirect
71. #4878C22semidirect
72. #4877C22semidirect
73. #4876C22semidirect
74. #4875C22semidirect
75. #4857C22semidirect
76. #4856C22semidirect
77. #4855C22semidirect
78. #4854C22semidirect
79. #4851C22semidirect
80. #4850C22semidirect
81. #4831C22semidirect
82. #4831C22semidirect
83. #4830C22semidirect
84. #4830C22semidirect
85. #4829C22semidirect
139. C2×#214Q8semidirect
332. C2×Dic6C2×Q8semidirect
356. #214C2×Q8semidirect
357. #214C2×Q8semidirect
389. C2×C3⋊C8C2×Q8semidirect
755. C3#61371semidirect

Maximal subgroups

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

subgroupindex
#862582
#857662
C3×#30772
#833392
C2×C4×#2142
#811602
#811572
#810562
#810532
#809612
#809582
#792462
#792052
#790682
#790442
#789182
#789162
#613713