Finite Group Databasebeta

← #11675907

Subgroups — #11675907

Order 768.

1742 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3502C211yesmaximal, characteristic, complemented
2#86280C211yesmaximal, characteristic
3#83706C214yesmaximal, complemented
4#83695C214yesmaximal, complemented
5#83695C214yesmaximal, complemented
6#83694C214yesmaximal, complemented
7#83474C212yesmaximal
8#83473C212yesmaximal, complemented
9#83350C211yesmaximal, characteristic
10#83340C211yesmaximal, characteristic, complemented
11#83329C211yesmaximal, characteristic, complemented
12#82550C212yesmaximal, complemented
13#82548C212yesmaximal
14C2×#5026C211yesmaximal, characteristic
15#82431C211yesmaximal, characteristic, complemented
16#61377—31nomaximal, Sylow
17C3×Q82—21no—
18C3×Q82C2212yescomplemented
19C3×#557—21no—
20C3×#557—22no—
21C3×#557C2214yescomplemented
22C3×#557C2212yescomplemented
23C3×#544—22no—
24C3×#544C2212yes—
25C3×#533—22no—
26C3×#533C2211yescharacteristic
27C3×#533C2211yescharacteristic
28C3×#519C2212yes—
29C2×C3×C4×Q8C2211yescharacteristic
30C22×#215C2211yescharacteristic
31#5730—21no—
32#5727—21no—
33#5690—22no—
34#5634—22no—
35D3×C22⋊Q8—22no—
36#5579C2212yes—
37#5579C2214yes—
38Q8×D12C2212yes—
39#5521C2212yes—
40#5519C2212yes—
41C2×C4×D12C2211yescharacteristic
42#5470C2211yescharacteristic
43#5225C2212yes—
44C2×#835C2211yescharacteristic
45#5087C2214yes—
46#5087C2212yes—
47#5084C2214yes—
48#5084C2212yes—
49#5081C2214yescomplemented
50#5081C2212yescomplemented
51#5081C2212yescomplemented
52#5078C2214yescomplemented
53#5066C2214yes—
54#5066C2214yes—
55#5066C2214yes—
56#5065C2214yescomplemented
57#5064C2214yescomplemented
58#5064C2212yescomplemented
59#5064C2212yescomplemented
60#5026C2214yes—
61#5026C2214yes—
62#5026C2214yes—
63#5026C2214yes—
64C4×#215C2214yes—
65C4×#215C2214yes—
66#5024C2214yescomplemented
67#5024C2214yescomplemented
68#5022C2214yescomplemented
69#5022C2214yescomplemented
70#5022C2214yescomplemented
71#5021C2214yescomplemented
72#5021C2212yescomplemented
73#5020C2214yescomplemented
74#5020C2212yescomplemented
75#5001C2212yes—
76#4999C2212yes—
77#4998C2212yes—
78#4998C2212yes—
79#4997C2212yes—
80#4995C2212yes—
81C2×#809C2211yescharacteristic
82#4964C2212yes—
83C2×#807C2211yescharacteristic
84#4924C2211yescharacteristic
85C2×#803C2211yescharacteristic
86#3502D311yescharacteristic, complemented
87#3501—31no—
88#3388—34no—
89#3388—34no—
90#3386—34no—
91#3385—34no—
92#3164—32no—
93#3162—31no—
94#3082—32no—
95#3081—32no—
96#3078—31no—
97#3077—31no—
98#2961—31no—
99#2949—32no—
100C2×#440—31no—
101C22×C3×Q8C2311yescharacteristic
102C2×D3×Q8—22no—
103C22×D12C2311yescharacteristic
104C22×C4×D3—21no—
105C3×C4⋊Q8—24no—
106C3×C4⋊Q8—22no—
107C3×C4⋊Q8—22no—
108C3×C4⋊Q8—22no—
109C3×C4⋊Q8—24no—
110C3×C4⋊Q8D411yescharacteristic
111C3×C4⋊Q8D411yescharacteristic
112C3×C4⋊Q8C2311yescharacteristic
113C3×C4⋊Q8C2314yes—
114C3×C4⋊Q8C2311yescharacteristic
115C3×#125—24no—
116C3×#125—24no—
117C3×#125—24no—
118C3×#125—22no—
119C3×#125D412yes—
120C3×#125C2312yes—
121C3×#125C2314yes—
122C3×C22⋊Q8—21no—
123C3×C22⋊Q8—21no—
124C3×C22⋊Q8—24no—
125C3×C22⋊Q8D412yes—
126C3×C22⋊Q8D412yes—
127C3×C4×Q8—22no—
128C3×C4×Q8—22no—
129C3×C4×Q8—22no—
130C3×C4×Q8—22no—
131C3×C4×Q8—24no—
132C3×C4×Q8—21no—
133C3×C4×Q8—21no—
134C3×C4×Q8—21no—
135C3×C4×Q8—21no—
136C3×C4×Q8C2314yes—
137C3×C4×Q8C2312yes—
138C3×C4×Q8C2312yes—
139C3×C4×Q8C2314yes—
140C3×C4×Q8C2312yes—
141C3×C4×Q8C2312yes—
142C3×#117—24no—
143C3×#117C2312yes—
144C3×#117C2312yes—
145C2×C3×C4⋊C4—21no—
146C2×C3×C4⋊C4C2311yescharacteristic
147C2×C3×C42—21no—
148C2×C3×C42C2311yescharacteristic
149#946—24no—
150#946—22no—
151C2×#215Q818yescomplemented
152C2×#215C2314yes—
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#835C2314yes—
188#835C2314yes—
189#835C2314yes—
190#809C2314yes—
191#809C2314yes—
192#809C2314yes—
193#808C2314yes—
194#808C2314yes—
195#808C2312yes—
196#808C2312yes—
197#808C2312yes—
198#808C2312yes—
199#807C2314yes—
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×SD16—31no—
215Q82—21no—
216Q82C2×D312yescomplemented
217#557—21no—
218#557—22no—
219#557C2×D314yescomplemented
220#557C2×D312yescomplemented
221#554—34no—
222#554—32no—
223#554—61no—
224#554—62no—
225D4×Q8—32no—
226D4×Q8—61no—
227#544—22no—
228#544—32no—
229#544C2×D312yes—
230#543—62no—
231#533—22no—
232#533—31no—
233#533C2×D311yescharacteristic
234#533C2×D311yescharacteristic
235C2×C22⋊Q8—62no—
236#519C2×D312yes—
237#518—32no—
238C2×C4×Q8C2×D311yescharacteristic
239C2×C4×D4—31no—
240#501—32no—
241#501—34no—
242#501—32no—
243#501—32no—
244#501—34no—
245#501—32no—
246#500—34no—
247#499—34no—
248#479—34no—
249#479—34no—
250#479—34no—
251#478—34no—
252#478—34no—
253#478—34no—
254#477—32no—
255#477—34no—
256#476—32no—
257#476—34no—
258#475—32no—
259#475—34no—
260#474—32no—
261#474—34no—
262#446—34no—
263#446—34no—
264#440—34no—
265#440—34no—
266#440—34no—
267#440—34no—
268C4×SD16—34no—
269C4×SD16—34no—
270#428—32no—
271#428—32no—
272#427—32no—
273#427—32no—
274C2×#107—31no—
275#424—32no—
276#423—31no—
277#419—32no—
278#418—32no—
279C2×#103—31no—
280C2×#102—31no—
281#405—32no—
282C2×#97—31no—
283C23×D3—21no—
284C2×C3×Q8—21no—
285C2×C3×Q8—21no—
286C2×C3×Q8—21no—
287C2×C3×Q8—24no—
288C2×C3×Q8—22no—
289C2×C3×Q8C2×D412yes—
290C2×C3×Q8C2×D412yes—
291C2×C3×Q8C2×Q814yescomplemented
292C2×C3×Q8C2412yes—
293C22×C3×C4—21no—
294C22×C3×C4—21no—
295C22×C3×C4C2×D411yescharacteristic
296C22×C3×C4C2×D411yescharacteristic
297C22×C3×C4C2411yescharacteristic
298C22×Dic3—21no—
299D3×Q8—84no—
300C2×D12—21no—
301C2×D12—22no—
302C2×D12C2×Q814yes—
303C2×D12C2412yes—
304C2×C4×D3—22no—
305C2×C4×D3—22no—
306C2×C4×D3—24no—
307C2×C4×D3—24no—
308C2×C4×D3—82no—
309C2×Dic6—21no—
310C2×Dic6—21no—
311C2×Dic6—24no—
312C3×C4⋊C4—22no—
313C3×C4⋊C4—22no—
314C3×C4⋊C4—21no—
315C3×C4⋊C4—24no—
316C3×C4⋊C4—24no—
317C3×C4⋊C4—22no—
318C3×C4⋊C4—21no—
319C3×C4⋊C4—21no—
320C3×C4⋊C4—24no—
321C3×C4⋊C4—24no—
322C3×C4⋊C4—22no—
323C3×C4⋊C4—24no—
324C3×C4⋊C4C2×D412yes—
325C3×C4⋊C4C2×D412yes—
326C3×C4⋊C4C2×D414yes—
327C3×C4⋊C4C2×D412yes—
328C3×C4⋊C4C2×D412yes—
329C3×C4⋊C4C2×D414yes—
330C3×C4⋊C4C2412yes—
331C3×C4⋊C4C2412yes—
332C3×C4⋊C4C2412yes—
333C3×C22⋊C4—22no—
334C3×C22⋊C4C2×D414yes—
335C3×C42—22no—
336C3×C42—22no—
337C3×C42—24no—
338C3×C42—24no—
339C3×C42—22no—
340C3×C42C2×D411yescharacteristic
341C3×C42C2×D411yescharacteristic
342C3×C42C2414yes—
343C3×C42C2411yescharacteristic
344C3×C42C2411yescharacteristic
345#217—22no—
346#215C2×Q8116yescomplemented
347(C2×D3)⋊C4—22no—
348(C2×D3)⋊C4—22no—
349(C2×D3)⋊C4—24no—
350(C2×D3)⋊C4—24no—
351C4⋊Dic3—21no—
352C4⋊Dic3—21no—
353C4⋊Dic3—24no—
354C4⋊Dic3—21no—
355C4⋊Dic3C2412yes—
356C4⋊Dic3C2412yes—
357C4⋊Dic3C2412yes—
358Dic3⋊C4—22no—
359Dic3⋊C4—22no—
360Dic3⋊C4—24no—
361Dic3⋊C4—24no—
362C4×Dic3—22no—
363#208—24no—
364C2×C3⋊C8—22no—
365C2×C3⋊C8C2×Q814yescomplemented
366C2×C3⋊C8C2414yes—
367C2×C3⋊C8C2412yes—
368C2×C3⋊C8C2412yes—
369C22×Q8—62no—
370C22×Q8C22×D311yescharacteristic
371C22×D4—31no—
372C23×C4—61no—
373C2×SD16—38no—
374C2×SD16—34no—
375C2×M16—32no—
376C22×C8—31no—
377C22×C8—31no—
378C4⋊Q8—22no—
379C4⋊Q8—24no—
380C4⋊Q8—22no—
381C4⋊Q8—24no—
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—24no—
393#125—24no—
394#125—24no—
395#125—22no—
396#125—32no—
397#125—34no—
398#125—62no—
399#125#6712yes—
400#125C22×D312yes—
401#125C22×D314yes—
402C22⋊Q8—21no—
403C22⋊Q8—21no—
404C22⋊Q8—24no—
405C22⋊Q8—62no—
406C22⋊Q8—64no—
407C22⋊Q8—61no—
408C22⋊Q8—61no—
409C22⋊Q8—62no—
410C22⋊Q8—64no—
411C22⋊Q8—64no—
412C22⋊Q8—64no—
413C22⋊Q8—64no—
414C22⋊Q8—64no—
415C22⋊Q8#6712yes—
416C22⋊Q8#6712yes—
417C4×Q8—22no—
418C4×Q8—22no—
419C4×Q8—22no—
420C4×Q8—24no—
421C4×Q8—22no—
422C4×Q8—21no—
423C4×Q8—21no—
424C4×Q8—21no—
425C4×Q8—21no—
426C4×Q8—61no—
427C4×Q8—61no—
428C4×Q8C22×D312yes—
429C4×Q8C22×D312yes—
430C4×Q8C22×D314yes—
431C4×Q8C22×D314yes—
432C4×Q8C22×D312yes—
433C4×Q8C22×D312yes—
434C4×D4—32no—
435C4×D4—32no—
436C4×D4—34no—
437C4×D4—34no—
438C4×D4—62no—
439C4×D4—62no—
440C4×D4—61no—
441C4×D4—61no—
442#117—24no—
443#117—32no—
444#117C22×D312yes—
445#117C22×D312yes—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—31no—
448C2×C4⋊C4—64no—
449C2×C4⋊C4—62no—
450C2×C4⋊C4C22×D311yescharacteristic
451C2×C22⋊C4—61no—
452C2×C22⋊C4—64no—
453C2×C42—21no—
454C2×C42C22×D311yescharacteristic
455#107—34no—
456#107—32no—
457#107—32no—
458#107—32no—
459#107—32no—
460#107—34no—
461#107—34no—
462#106—32no—
463#106—32no—
464#106—32no—
465#106—32no—
466#106—34no—
467#106—34no—
468C4⋊C8—32no—
469C4⋊C8—32no—
470C4⋊C8—34no—
471C4⋊C8—34no—
472#103—34no—
473#103—34no—
474#103—34no—
475#102—34no—
476#102—34no—
477#102—34no—
478#97—32no—
479#97—32no—
480#97—34no—
481C4×C8—34no—
482C23×C3C22×D411yescharacteristic
483C22×D3—22no—
484C22×D3—24no—
485C22×D3—81no—
486C22×D3—81no—
487C3×Q8—24no—
488C3×Q8—22no—
489C3×Q8—42no—
490C3×Q8—42no—
491C3×Q8—42no—
492C3×Q8—84no—
493C3×Q8—81no—
494C3×Q8C22×Q814yes—
495C2×C3×C4—24no—
496C2×C3×C4—22no—
497C2×C3×C4—22no—
498C2×C3×C4—22no—
499C2×C3×C4—22no—
500C2×C3×C4—41no—
501C2×C3×C4—41no—
502C2×C3×C4—81no—
503C2×C3×C4C22×D411yescharacteristic
504C2×C3×C4C22×D411yescharacteristic
505C2×C3×C4C22×D414yes—
506C2×C3×C4C22×D414yes—
507C2×C3×C4C22×D411yescharacteristic
508C2×C3×C4C22×D411yescharacteristic
509C2×C3×C4C22×D411yescharacteristic
510C2×C3×C4C22×Q812yes—
511C2×C3×C42−1+412yes—
512C2×C3×C4C2511yescharacteristic
513C2×Dic3—22no—
514C2×Dic3—22no—
515C2×Dic3—22no—
516C2×Dic3—81no—
517D12—24no—
518D12—22no—
519D12C22×Q814yes—
520C4×D3—44no—
521C4×D3—84no—
522C4×D3—82no—
523C4×D3—84no—
524Dic6—42no—
525Dic6—81no—
526Dic6—84no—
527C3⋊C8—22no—
528C3⋊C8—24no—
529C3⋊C8C22×Q814yes—
530C24—61no—
531C2×Q8—22no—
532C2×Q8—21no—
533C2×Q8—21no—
534C2×Q8—21no—
535C2×Q8—24no—
536C2×Q8—61no—
537C2×Q8—61no—
538C2×Q8—64no—
539C2×Q8—244no—
540C2×Q8D3×Q814yescomplemented
541C2×Q8C2×#6712yes—
542C2×Q8C2×#6712yes—
543C2×Q8C23×D312yes—
544C2×D4—34no—
545C2×D4—32no—
546C2×D4—62no—
547C2×D4—61no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—61no—
551C22×C4—62no—
552C22×C4—64no—
553C22×C4—64no—
554C22×C4—62no—
555C22×C4—242no—
556C22×C4C2×#6711yescharacteristic
557C22×C4C2×#6711yescharacteristic
558C22×C4C23×D311yescharacteristic
559SD16—316no—
560M16—64no—
561C2×C8—34no—
562C2×C8—32no—
563C2×C8—34no—
564C2×C8—32no—
565C2×C8—62no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—21no—
569C4⋊C4—24no—
570C4⋊C4—24no—
571C4⋊C4—22no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—22no—
577C4⋊C4—24no—
578C4⋊C4—32no—
579C4⋊C4—32no—
580C4⋊C4—32no—
581C4⋊C4—61no—
582C4⋊C4—62no—
583C4⋊C4—61no—
584C4⋊C4—64no—
585C4⋊C4—64no—
586C4⋊C4—64no—
587C4⋊C4—62no—
588C4⋊C4—61no—
589C4⋊C4C2×#6712yes—
590C4⋊C4C2×#6714yes—
591C4⋊C4C2×#6712yes—
592C4⋊C4C2×#6712yes—
593C4⋊C4C2×#6714yes—
594C4⋊C4C2×#6712yes—
595C4⋊C4C23×D312yes—
596C4⋊C4C23×D312yes—
597C4⋊C4C23×D312yes—
598C22⋊C4—22no—
599C22⋊C4—62no—
600C22⋊C4—64no—
601C22⋊C4—64no—
602C22⋊C4—62no—
603C22⋊C4—62no—
604C22⋊C4C2×#6714yes—
605C42—22no—
606C42—22no—
607C42—24no—
608C42—24no—
609C42—22no—
610C42—62no—
611C42C2×#6711yescharacteristic
612C42C2×#6711yescharacteristic
613C42C23×D314yes—
614C42C23×D311yescharacteristic
615C42C23×D311yescharacteristic
616C22×C3—21no—
617C22×C3—21no—
618C22×C3D4×Q812yes—
619C22×C3C23×D411yescharacteristic
620C2×D3—24no—
621C2×D3—42no—
622C2×D3—42no—
623C2×D3—84no—
624C3×C4—21no—
625C3×C4—24no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—24no—
629C3×C4—21no—
630C3×C4—24no—
631C3×C4—42no—
632C3×C4—42no—
633C3×C4—42no—
634C3×C4D4×Q812yes—
635C3×C4C23×Q811yescharacteristic
636C3×C4C2×2−1+411yescharacteristic
637Dic3—42no—
638Dic3—42no—
639Dic3—42no—
640C23—62no—
641C23—64no—
642C23—241no—
643C23—241no—
644C23C22×#6711yescharacteristic
645Q8—22no—
646Q8—24no—
647Q8—42no—
648Q8—42no—
649Q8—42no—
650Q8—81no—
651Q8—84no—
652Q8—122no—
653Q8—244no—
654Q8—241no—
655Q8C2×D3×Q814yes—
656D4—34no—
657D4—62no—
658D4—64no—
659C2×C4—22no—
660C2×C4—24no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—62no—
669C2×C4—81no—
670C2×C4—124no—
671C2×C4—242no—
672C2×C4—244no—
673C2×C4—244no—
674C2×C4—241no—
675C2×C4C2×D3×Q812yes—
676C2×C4#100712yes—
677C2×C4C22×#6711yescharacteristic
678C2×C4C22×#6711yescharacteristic
679C2×C4C22×#6714yes—
680C2×C4C22×#6714yes—
681C2×C4C22×#6711yescharacteristic
682C2×C4C22×#6711yescharacteristic
683C2×C4C22×#6711yescharacteristic
684C2×C4C24×D311yescharacteristic
685C8—34no—
686C8—62no—
687C8—64no—
688C2×C3—22no—
689C2×C3C2×D4×Q811yescharacteristic
690C2×C3#358511yescharacteristic
691C2×C3#358611yescharacteristic
692D3—44no—
693C22—21no—
694C22—21no—
695C22—64no—
696C22—122no—
697C22—122no—
698C22—244no—
699C22Q8×#6712yes—
700C22C23×#6711yescharacteristic
701C4—21no—
702C4—21no—
703C4—24no—
704C4—24no—
705C4—21no—
706C4—21no—
707C4—24no—
708C4—42no—
709C4—42no—
710C4—42no—
711C4—122no—
712C4—122no—
713C4—122no—
714C4Q8×#6712yes—
715C4C22×D3×Q811yescharacteristic
716C4C2×#100711yescharacteristic
717C3#6137711yescharacteristic, complemented, Sylow
718C2—22no—
719C2—124no—
720C2C2×Q8×#6711yescharacteristic
721C2#8728711yescharacteristic
722C2#8729811yescharacteristic
subgroupG/H
centerC22C23×#67
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3502C2
socleC22×C3C23×D4
prime radicalC22×D12C23
hypercenter#3502D3
hypocenterC3#61377
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #533 ◁ #3502

Complements

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

NH ≅ G/Ntype
1. C3×#3502C2semidirect
3. #83706C2semidirect
4. #83695C2semidirect
5. #83695C2semidirect
6. #83694C2semidirect
8. #83473C2semidirect
10. #83340C2semidirect
11. #83329C2semidirect
12. #82550C2semidirect
15. #82431C2semidirect
18. C3×Q82C22semidirect
21. C3×#557C22semidirect
22. C3×#557C22semidirect
49. #5081C22semidirect
50. #5081C22semidirect
51. #5081C22semidirect
52. #5078C22semidirect
56. #5065C22semidirect
57. #5064C22semidirect
58. #5064C22semidirect
59. #5064C22semidirect
66. #5024C22semidirect
67. #5024C22semidirect
68. #5022C22semidirect
69. #5022C22semidirect
70. #5022C22semidirect
71. #5021C22semidirect
72. #5021C22semidirect
73. #5020C22semidirect
74. #5020C22semidirect
86. #3502D3semidirect
151. C2×#215Q8semidirect
216. Q82C2×D3semidirect
219. #557C2×D3semidirect
220. #557C2×D3semidirect
291. C2×C3×Q8C2×Q8semidirect
346. #215C2×Q8semidirect
365. C2×C3⋊C8C2×Q8semidirect
540. C2×Q8D3×Q8semidirect
717. C3#61377semidirect

Maximal subgroups

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

subgroupindex
C3×#35022
#862802
#837062
#836952
#836942
#834742
#834732
#833502
#833402
#833292
#825502
#825482
C2×#50262
#824312
#613773