Finite Group Databasebeta

← #11675921

Subgroups — #11675921

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
1C3×#3501C211yesmaximal, characteristic, complemented
2#86280C211yesmaximal, characteristic, complemented
3#83633C214yesmaximal, complemented
4#83633C214yesmaximal, complemented
5#83630C214yesmaximal, complemented
6#83564C214yesmaximal, complemented
7#83474C212yesmaximal, complemented
8#83472C212yesmaximal, complemented
9#83350C211yesmaximal, characteristic, complemented
10#83340C211yesmaximal, characteristic, complemented
11#83329C211yesmaximal, characteristic, complemented
12#82539C212yesmaximal, complemented
13#82538C212yesmaximal
14#82296C211yesmaximal, characteristic, complemented
15C2×#5014C211yesmaximal, characteristic
16#61378—31nomaximal, Sylow
17C3×#554—21no—
18C3×#554—22no—
19C3×#554C2214yescomplemented
20C3×#554C2212yescomplemented
21C3×D4×Q8—21no—
22C3×D4×Q8C2212yescomplemented
23C3×#544C2212yes—
24C3×#543—22no—
25C3×#533C2211yescharacteristic
26C3×#533C2211yescharacteristic
27C2×C3×C22⋊Q8—22no—
28C3×#518C2212yes—
29C2×C3×C4×D4C2211yescharacteristic
30C22×#213C2211yescharacteristic
31#5730—21no—
32#5727—21no—
33#5690—22no—
34#5634—22no—
35D3×C22⋊Q8—22no—
36#5579C2214yescomplemented
37#5579C2212yescomplemented
38Q8×D12C2212yescomplemented
39#5521C2212yes—
40#5519C2212yes—
41C2×C4×D12C2211yescharacteristic
42#5470C2211yescharacteristic
43#5215C2212yes—
44C2×#832C2211yescharacteristic
45#5087C2214yescomplemented
46#5087C2212yescomplemented
47#5084C2214yescomplemented
48#5084C2212yescomplemented
49#5081C2214yescomplemented
50#5081C2212yescomplemented
51#5081C2212yescomplemented
52#5080C2214yescomplemented
53#5066C2214yescomplemented
54#5066C2214yescomplemented
55#5066C2214yescomplemented
56#5065C2214yescomplemented
57#5064C2214yescomplemented
58#5064C2212yescomplemented
59#5064C2212yescomplemented
60#5024C2214yescomplemented
61#5024C2214yescomplemented
62#5014C2214yes—
63#5014C2214yes—
64#5014C2214yes—
65#5014C2214yes—
66C4×#213C2214yes—
67C4×#213C2214yes—
68#5009C2214yescomplemented
69#5009C2214yescomplemented
70#5009C2214yescomplemented
71#5008C2214yescomplemented
72#5008C2212yescomplemented
73#5007C2214yescomplemented
74#5007C2212yescomplemented
75#5001C2212yes—
76#4999C2212yes—
77#4998C2212yes—
78#4998C2212yes—
79#4997C2212yes—
80#4995C2212yes—
81C2×#809C2211yescharacteristic
82#4964C2212yes—
83C2×#808C2211yescharacteristic
84#4924C2211yescharacteristic
85C2×#803C2211yescharacteristic
86#3501—31no—
87#3501D311yescharacteristic, complemented
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#3077—31no—
98#2961—31no—
99#2948—32no—
100C2×#442—31no—
101C22×C3×Q8—22no—
102C22×C3×D4C2311yescharacteristic
103C23×C3×C4—21no—
104C2×D3×Q8—22no—
105C22×D12C2311yescharacteristic
106C22×C4×D3—21no—
107C3×C4⋊Q8—22no—
108C3×C4⋊Q8D411yescharacteristic
109C3×C4⋊Q8D411yescharacteristic
110C3×C4⋊Q8C2314yes—
111C3×C4⋊Q8C2311yescharacteristic
112C3×C4⋊Q8C2311yescharacteristic
113C3×#125—22no—
114C3×#125D412yes—
115C3×#125C2312yes—
116C3×#125C2314yes—
117C3×C22⋊Q8—22no—
118C3×C22⋊Q8—24no—
119C3×C22⋊Q8—21no—
120C3×C22⋊Q8—21no—
121C3×C22⋊Q8—22no—
122C3×C22⋊Q8—24no—
123C3×C22⋊Q8—24no—
124C3×C22⋊Q8—24no—
125C3×C22⋊Q8—24no—
126C3×C22⋊Q8—24no—
127C3×C22⋊Q8D412yes—
128C3×C22⋊Q8D412yes—
129C3×C4×Q8—21no—
130C3×C4×Q8—21no—
131C3×C4×Q8C2312yes—
132C3×C4×Q8C2312yes—
133C3×C4×D4—22no—
134C3×C4×D4—22no—
135C3×C4×D4—21no—
136C3×C4×D4—21no—
137C3×C4×D4C2312yes—
138C3×C4×D4C2314yes—
139C3×C4×D4C2314yes—
140C3×C4×D4C2312yes—
141C3×#117C2312yes—
142C3×#117C2312yes—
143C2×C3×C4⋊C4—24no—
144C2×C3×C4⋊C4—22no—
145C2×C3×C4⋊C4C2311yescharacteristic
146C2×C3×C22⋊C4—21no—
147C2×C3×C22⋊C4—24no—
148C2×C3×C42C2311yescharacteristic
149#946—24no—
150#946—22no—
151C2×#213Q818yescomplemented
152C2×#213C2314yes—
153C2×(C2×D3)⋊C4—21no—
154#926C2312yes—
155C2×C4⋊Dic3C2311yescharacteristic
156#924—21no—
157#924—21no—
158C2×#208C2312yes—
159C22×C3⋊C8C2311yescharacteristic
160C22×C3⋊C8C2311yescharacteristic
161#897—24no—
162#897—22no—
163#896—24no—
164#896—24no—
165#896—24no—
166#893—22no—
167#893—22no—
168D3×C4⋊C4—24no—
169D3×C4⋊C4—22no—
170#890—22no—
171#888—22no—
172D3×C22⋊C4—24no—
173#878—24no—
174C4×D12—21no—
175C4×D12—21no—
176C4×D12C2312yes—
177C4×D12C2312yes—
178C4×D12C2314yes—
179C4×D12C2314yes—
180#870C2312yes—
181#870C2314yes—
182#869C2311yescharacteristic
183#869C2311yescharacteristic
184#869C2314yes—
185C4×Dic6—21no—
186C4×Dic6—21no—
187#832C2314yes—
188#832C2314yes—
189#832C2314yes—
190#809C2314yes—
191#809C2314yes—
192#809C2314yes—
193#808C2314yes—
194#808C2314yes—
195#808C2314yes—
196#808C2312yes—
197#808C2312yes—
198#808C2312yes—
199#808C2312yes—
200#807C2314yes—
201#807C2314yes—
202#807C2312yes—
203#807C2312yes—
204#807C2312yes—
205#807C2312yes—
206C4⋊(C3⋊C8)C2312yes—
207C4⋊(C3⋊C8)C2312yes—
208C4⋊(C3⋊C8)C2314yes—
209C4⋊(C3⋊C8)C2314yes—
210#803C2312yes—
211#803C2312yes—
212#803C2314yes—
213C4×C3⋊C8C2314yes—
214C22×D8—31no—
215#554—21no—
216#554—22no—
217#554—34no—
218#554—32no—
219#554—61no—
220#554—62no—
221#554C2×D314yescomplemented
222#554C2×D312yescomplemented
223D4×Q8—21no—
224D4×Q8—32no—
225D4×Q8—61no—
226D4×Q8C2×D312yescomplemented
227#544—32no—
228#544C2×D312yes—
229#543—22no—
230#543—62no—
231#533—31no—
232#533C2×D311yescharacteristic
233#533C2×D311yescharacteristic
234C2×C22⋊Q8—22no—
235C2×C22⋊Q8—62no—
236#518—32no—
237#518C2×D312yes—
238C2×C4×D4—31no—
239C2×C4×D4C2×D311yescharacteristic
240#501—32no—
241#501—34no—
242#501—32no—
243#501—32no—
244#501—34no—
245#501—32no—
246#499—34no—
247#498—34no—
248#478—34no—
249#478—34no—
250#478—34no—
251#478—34no—
252#478—34no—
253#478—34no—
254#476—32no—
255#476—34no—
256#476—32no—
257#476—34no—
258#474—32no—
259#474—34no—
260#474—32no—
261#474—34no—
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#428—32no—
272#427—32no—
273#427—32no—
274C2×#106—31no—
275#424—32no—
276#423—31no—
277#418—32no—
278#418—32no—
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×Q8—24no—
288C2×C3×Q8—84no—
289C2×C3×Q8C2×D412yes—
290C2×C3×Q8C2×D412yes—
291C2×C3×D4—21no—
292C2×C3×D4—22no—
293C2×C3×D4C2×Q814yescomplemented
294C2×C3×D4C2412yes—
295C22×C3×C4—21no—
296C22×C3×C4—22no—
297C22×C3×C4—24no—
298C22×C3×C4—24no—
299C22×C3×C4—22no—
300C22×C3×C4—82no—
301C22×C3×C4C2×D411yescharacteristic
302C22×C3×C4C2×D411yescharacteristic
303C22×C3×C4C2411yescharacteristic
304C22×Dic3—21no—
305D3×Q8—84no—
306C2×D12—21no—
307C2×D12—22no—
308C2×D12C2×Q814yescomplemented
309C2×D12C2412yes—
310C2×C4×D3—22no—
311C2×C4×D3—22no—
312C2×C4×D3—24no—
313C2×C4×D3—24no—
314C2×C4×D3—82no—
315C2×Dic6—21no—
316C2×Dic6—21no—
317C2×Dic6—24no—
318C3×C4⋊C4—22no—
319C3×C4⋊C4—21no—
320C3×C4⋊C4—24no—
321C3×C4⋊C4—24no—
322C3×C4⋊C4—24no—
323C3×C4⋊C4—21no—
324C3×C4⋊C4—22no—
325C3×C4⋊C4—21no—
326C3×C4⋊C4C2×D412yes—
327C3×C4⋊C4C2×D412yes—
328C3×C4⋊C4C2×D414yes—
329C3×C4⋊C4C2×D412yes—
330C3×C4⋊C4C2×D412yes—
331C3×C4⋊C4C2×D414yes—
332C3×C4⋊C4C2412yes—
333C3×C4⋊C4C2412yes—
334C3×C4⋊C4C2412yes—
335C3×C22⋊C4—22no—
336C3×C22⋊C4—24no—
337C3×C22⋊C4—24no—
338C3×C22⋊C4—22no—
339C3×C22⋊C4—22no—
340C3×C22⋊C4C2×D414yes—
341C3×C42—22no—
342C3×C42C2×D411yescharacteristic
343C3×C42C2×D411yescharacteristic
344C3×C42C2414yes—
345C3×C42C2411yescharacteristic
346C3×C42C2411yescharacteristic
347#217—22no—
348#213C2×Q8116yescomplemented
349(C2×D3)⋊C4—22no—
350(C2×D3)⋊C4—22no—
351(C2×D3)⋊C4—24no—
352(C2×D3)⋊C4—24no—
353C4⋊Dic3—21no—
354C4⋊Dic3—21no—
355C4⋊Dic3—24no—
356C4⋊Dic3—21no—
357C4⋊Dic3C2412yes—
358C4⋊Dic3C2412yes—
359C4⋊Dic3C2412yes—
360Dic3⋊C4—22no—
361Dic3⋊C4—22no—
362Dic3⋊C4—24no—
363Dic3⋊C4—24no—
364C4×Dic3—22no—
365#208—24no—
366C2×C3⋊C8—22no—
367C2×C3⋊C8C2×Q814yescomplemented
368C2×C3⋊C8C2414yes—
369C2×C3⋊C8C2412yes—
370C2×C3⋊C8C2412yes—
371C22×Q8—22no—
372C22×Q8—62no—
373C22×D4—31no—
374C22×D4C22×D311yescharacteristic
375C23×C4—21no—
376C23×C4—61no—
377C2×D8—38no—
378C2×D8—34no—
379C2×M16—32no—
380C22×C8—31no—
381C22×C8—31no—
382C4⋊Q8—22no—
383C4⋊Q8—31no—
384C4⋊Q8—31no—
385C4⋊Q8—34no—
386C4⋊Q8—62no—
387C4⋊Q8#6711yescharacteristic
388C4⋊Q8#6711yescharacteristic
389C4⋊Q8C22×D311yescharacteristic
390C4⋊Q8C22×D311yescharacteristic
391C4⋊Q8C22×D314yes—
392#125—22no—
393#125—32no—
394#125—34no—
395#125—62no—
396#125#6712yes—
397#125C22×D312yes—
398#125C22×D314yes—
399C22⋊Q8—22no—
400C22⋊Q8—24no—
401C22⋊Q8—21no—
402C22⋊Q8—21no—
403C22⋊Q8—22no—
404C22⋊Q8—24no—
405C22⋊Q8—24no—
406C22⋊Q8—24no—
407C22⋊Q8—24no—
408C22⋊Q8—24no—
409C22⋊Q8—62no—
410C22⋊Q8—64no—
411C22⋊Q8—61no—
412C22⋊Q8—61no—
413C22⋊Q8—62no—
414C22⋊Q8—64no—
415C22⋊Q8—64no—
416C22⋊Q8—64no—
417C22⋊Q8—64no—
418C22⋊Q8—64no—
419C22⋊Q8#6712yes—
420C22⋊Q8#6712yes—
421C4×Q8—21no—
422C4×Q8—21no—
423C4×Q8—61no—
424C4×Q8—61no—
425C4×Q8C22×D312yes—
426C4×Q8C22×D312yes—
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—21no—
430C4×D4—21no—
431C4×D4—32no—
432C4×D4—32no—
433C4×D4—34no—
434C4×D4—34no—
435C4×D4—62no—
436C4×D4—62no—
437C4×D4—61no—
438C4×D4—61no—
439C4×D4C22×D312yes—
440C4×D4C22×D312yes—
441C4×D4C22×D314yes—
442C4×D4C22×D314yes—
443#117—32no—
444#117C22×D312yes—
445#117C22×D312yes—
446C2×C4⋊C4—24no—
447C2×C4⋊C4—22no—
448C2×C4⋊C4—31no—
449C2×C4⋊C4—64no—
450C2×C4⋊C4—62no—
451C2×C4⋊C4C22×D311yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—24no—
454C2×C22⋊C4—61no—
455C2×C22⋊C4—64no—
456C2×C42C22×D311yescharacteristic
457#107—32no—
458#107—32no—
459#107—32no—
460#107—32no—
461#107—34no—
462#107—34no—
463#106—34no—
464#106—32no—
465#106—32no—
466#106—32no—
467#106—32no—
468#106—34no—
469#106—34no—
470C4⋊C8—32no—
471C4⋊C8—32no—
472C4⋊C8—34no—
473C4⋊C8—34no—
474#102—34no—
475#102—34no—
476#102—34no—
477#102—34no—
478#102—34no—
479#102—34no—
480#97—32no—
481#97—32no—
482#97—34no—
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—42no—
495C3×Q8—42no—
496C3×Q8—81no—
497C3×Q8—84no—
498C3×D4—24no—
499C3×D4—22no—
500C3×D4C22×Q814yes—
501C2×C3×C4—22no—
502C2×C3×C4—22no—
503C2×C3×C4—22no—
504C2×C3×C4—41no—
505C2×C3×C4—41no—
506C2×C3×C4—44no—
507C2×C3×C4—84no—
508C2×C3×C4—82no—
509C2×C3×C4—84no—
510C2×C3×C4—81no—
511C2×C3×C4C22×D411yescharacteristic
512C2×C3×C4C22×D411yescharacteristic
513C2×C3×C4C22×D414yes—
514C2×C3×C4C22×D414yes—
515C2×C3×C4C22×D411yescharacteristic
516C2×C3×C4C22×D411yescharacteristic
517C2×C3×C4C22×D411yescharacteristic
518C2×C3×C4C22×Q812yes—
519C2×C3×C42−1+412yes—
520C2×C3×C4C2511yescharacteristic
521C2×Dic3—22no—
522C2×Dic3—22no—
523C2×Dic3—22no—
524C2×Dic3—81no—
525D12—24no—
526D12—22no—
527D12C22×Q814yes—
528C4×D3—44no—
529C4×D3—84no—
530C4×D3—82no—
531C4×D3—84no—
532Dic6—42no—
533Dic6—81no—
534Dic6—84no—
535C3⋊C8—22no—
536C3⋊C8—24no—
537C3⋊C8C22×Q814yes—
538C24—21no—
539C24—61no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—24no—
543C2×Q8—61no—
544C2×Q8—61no—
545C2×Q8—64no—
546C2×Q8—84no—
547C2×Q8—244no—
548C2×Q8C2×#6712yes—
549C2×Q8C2×#6712yes—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—34no—
553C2×D4—32no—
554C2×D4—62no—
555C2×D4—61no—
556C2×D4D3×Q814yescomplemented
557C2×D4C23×D312yes—
558C22×C4—21no—
559C22×C4—22no—
560C22×C4—24no—
561C22×C4—24no—
562C22×C4—22no—
563C22×C4—61no—
564C22×C4—62no—
565C22×C4—64no—
566C22×C4—64no—
567C22×C4—62no—
568C22×C4—82no—
569C22×C4—242no—
570C22×C4C2×#6711yescharacteristic
571C22×C4C2×#6711yescharacteristic
572C22×C4C23×D311yescharacteristic
573D8—316no—
574M16—64no—
575C2×C8—34no—
576C2×C8—32no—
577C2×C8—34no—
578C2×C8—32no—
579C2×C8—62no—
580C4⋊C4—22no—
581C4⋊C4—21no—
582C4⋊C4—24no—
583C4⋊C4—24no—
584C4⋊C4—24no—
585C4⋊C4—21no—
586C4⋊C4—22no—
587C4⋊C4—21no—
588C4⋊C4—32no—
589C4⋊C4—32no—
590C4⋊C4—32no—
591C4⋊C4—61no—
592C4⋊C4—62no—
593C4⋊C4—61no—
594C4⋊C4—64no—
595C4⋊C4—64no—
596C4⋊C4—64no—
597C4⋊C4—62no—
598C4⋊C4—61no—
599C4⋊C4C2×#6714yes—
600C4⋊C4C2×#6712yes—
601C4⋊C4C2×#6714yes—
602C4⋊C4C2×#6712yes—
603C4⋊C4C2×#6712yes—
604C4⋊C4C2×#6712yes—
605C4⋊C4C23×D312yes—
606C4⋊C4C23×D312yes—
607C4⋊C4C23×D312yes—
608C22⋊C4—22no—
609C22⋊C4—24no—
610C22⋊C4—24no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—62no—
614C22⋊C4—64no—
615C22⋊C4—64no—
616C22⋊C4—62no—
617C22⋊C4—62no—
618C22⋊C4C2×#6714yes—
619C42—22no—
620C42—62no—
621C42C2×#6711yescharacteristic
622C42C2×#6711yescharacteristic
623C42C23×D314yes—
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—24no—
640C3×C4—21no—
641C3×C4—21no—
642C3×C4—24no—
643C3×C4—21no—
644C3×C4—42no—
645C3×C4—42no—
646C3×C4—42no—
647C3×C4D4×Q812yes—
648C3×C4C23×Q811yescharacteristic
649C3×C4C2×2−1+411yescharacteristic
650Dic3—42no—
651Dic3—42no—
652Dic3—42no—
653C23—22no—
654C23—24no—
655C23—62no—
656C23—64no—
657C23—81no—
658C23—81no—
659C23—241no—
660C23—241no—
661C23C22×#6711yescharacteristic
662Q8—42no—
663Q8—42no—
664Q8—42no—
665Q8—84no—
666Q8—81no—
667Q8—122no—
668Q8—244no—
669Q8—241no—
670D4—22no—
671D4—24no—
672D4—34no—
673D4—62no—
674D4—64no—
675D4C2×D3×Q814yes—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—44no—
682C2×C4—62no—
683C2×C4—62no—
684C2×C4—62no—
685C2×C4—82no—
686C2×C4—84no—
687C2×C4—84no—
688C2×C4—81no—
689C2×C4—124no—
690C2×C4—242no—
691C2×C4—244no—
692C2×C4—244no—
693C2×C4—241no—
694C2×C4C2×D3×Q812yes—
695C2×C4#100712yes—
696C2×C4C22×#6711yescharacteristic
697C2×C4C22×#6711yescharacteristic
698C2×C4C22×#6711yescharacteristic
699C2×C4C22×#6711yescharacteristic
700C2×C4C22×#6714yes—
701C2×C4C22×#6714yes—
702C2×C4C22×#6711yescharacteristic
703C2×C4C24×D311yescharacteristic
704C8—34no—
705C8—62no—
706C8—64no—
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—
723C22Q8×#6712yes—
724C22C23×#6711yescharacteristic
725C4—21no—
726C4—21no—
727C4—24no—
728C4—21no—
729C4—21no—
730C4—24no—
731C4—42no—
732C4—42no—
733C4—42no—
734C4—122no—
735C4—122no—
736C4—122no—
737C4Q8×#6712yes—
738C4C22×D3×Q811yescharacteristic
739C4C2×#100711yescharacteristic
740C3#6137811yescharacteristic, complemented, Sylow
741C2—22no—
742C2—44no—
743C2—124no—
744C2C2×Q8×#6711yescharacteristic
745C2#8727711yescharacteristic
746C2#8729811yescharacteristic
subgroupG/H
centerC22C23×#67
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3501C2
socleC22×C3C23×D4
prime radicalC22×#213C22
hypercenter#3501D3
hypocenterC3#61378
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #533 ◁ #3501

Complements

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

NH ≅ G/Ntype
1. C3×#3501C2semidirect
2. #86280C2semidirect
3. #83633C2semidirect
4. #83633C2semidirect
5. #83630C2semidirect
6. #83564C2semidirect
7. #83474C2semidirect
8. #83472C2semidirect
9. #83350C2semidirect
10. #83340C2semidirect
11. #83329C2semidirect
12. #82539C2semidirect
14. #82296C2semidirect
19. C3×#554C22semidirect
20. C3×#554C22semidirect
22. C3×D4×Q8C22semidirect
36. #5579C22semidirect
37. #5579C22semidirect
38. Q8×D12C22semidirect
45. #5087C22semidirect
46. #5087C22semidirect
47. #5084C22semidirect
48. #5084C22semidirect
49. #5081C22semidirect
50. #5081C22semidirect
51. #5081C22semidirect
52. #5080C22semidirect
53. #5066C22semidirect
54. #5066C22semidirect
55. #5066C22semidirect
56. #5065C22semidirect
57. #5064C22semidirect
58. #5064C22semidirect
59. #5064C22semidirect
60. #5024C22semidirect
61. #5024C22semidirect
68. #5009C22semidirect
69. #5009C22semidirect
70. #5009C22semidirect
71. #5008C22semidirect
72. #5008C22semidirect
73. #5007C22semidirect
74. #5007C22semidirect
87. #3501D3semidirect
151. C2×#213Q8semidirect
221. #554C2×D3semidirect
222. #554C2×D3semidirect
226. D4×Q8C2×D3semidirect
293. C2×C3×D4C2×Q8semidirect
308. C2×D12C2×Q8semidirect
348. #213C2×Q8semidirect
367. 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
C3×#35012
#862802
#836332
#836302
#835642
#834742
#834722
#833502
#833402
#833292
#825392
#825382
#822962
C2×#50142
#613783