Finite Group Databasebeta

← #10822122

Subgroups — #10822122

Order 768.

2198 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#535C211yesmaximal, characteristic, complemented
2C2×#5822C211yesmaximal, characteristic, complemented
3C2×#5805C211yesmaximal, characteristic, complemented
4C2×#5236C211yesmaximal, characteristic, complemented
5C22×#833C211yesmaximal, characteristic, complemented
6#82213C211yesmaximal, characteristic, complemented
7#71857C214yesmaximal, complemented
8#71856C214yesmaximal, complemented
9#71574C211yesmaximal, characteristic, complemented
10#23402—31nomaximal, Sylow
11C22×C3×#41C2211yescharacteristic
12C23×C3×D4C2211yescharacteristic
13C22×#235C2211yescharacteristic
14C3×#535—22no—
15C3×#535—22no—
16C3×#535—22no—
17C3×#535C2214yes—
18C2×C3×#127—21no—
19C2×C3×#124—21no—
20C2×C3×#121—22no—
21C2×C3×#120—22no—
22C2×C3×#117C2211yescharacteristic
23C2×#953—22no—
24C2×#951C2212yescomplemented
25#5822—24no—
26#5822—24no—
27C2×#950—22no—
28C2×#949C2212yescomplemented
29C2×#942—21no—
30#5805—24no—
31#5805—24no—
32C2×#940C2212yescomplemented
33C2×#938—22no—
34C2×#936C2212yescomplemented
35C2×#932—21no—
36C2×#926C2211yescharacteristic
37C22×#208C2211yescharacteristic
38C22×#208C2211yescharacteristic
39#5236—24no—
40C2×#837C2214yescomplemented
41C2×#833—24no—
42C2×#833C2214yescomplemented
43#5004C2212yescomplemented
44#5002—22no—
45#5001C2212yescomplemented
46#4966—22no—
47#4532C2214yescomplemented
48C2×#575—31no—
49C2×#535—31no—
50C2×#535D311yescharacteristic, complemented
51C2×#421—31no—
52#2896—31no—
53C22×#100—31no—
54#2004—34no—
55#2002—34no—
56#1733—31no—
57C25×C3D412yes—
58C2×C3×#41—21no—
59C2×C3×#41—21no—
60C2×C3×#41—22no—
61C2×C3×#41—22no—
62C2×C3×#41—22no—
63C2×C3×#41—22no—
64C2×C3×#41D412yescomplemented
65C2×C3×#41C2312yes—
66C22×C3×Q8D411yescharacteristic, complemented
67C22×C3×D4—21no—
68C22×C3×D4—24no—
69C22×C3×D4—22no—
70C22×C3×D4—22no—
71C22×C3×D4—22no—
72C22×C3×D4—21no—
73C22×C3×D4—21no—
74C22×C3×D4—21no—
75C22×C3×D4—21no—
76C22×C3×D4—22no—
77C22×C3×D4D412yes—
78C22×C3×D4D411yescharacteristic, complemented
79C22×C3×D4C2312yes—
80C23×C3×C4—21no—
81C23×C3×C4C2311yescharacteristic
82C22×#67—21no—
83C22×#67—24no—
84C2×#235—22no—
85C2×#235—21no—
86C2×#235—21no—
87C2×#235—21no—
88C2×#235—21no—
89C2×#235—22no—
90C2×#235—22no—
91C2×#235D414yescomplemented
92C22×D12C2311yescharacteristic
93C22×C4×D3—21no—
94C22×Dic6C2311yescharacteristic
95C3×#127—24no—
96C3×#127—24no—
97C3×#124—24no—
98C3×#124—24no—
99C3×#121—28no—
100C3×#121—28no—
101C3×#120—28no—
102C3×#120—28no—
103C3×#117—21no—
104C3×#117—21no—
105C3×#117D412yescomplemented
106C3×#117C2312yes—
107C2×C3×C4⋊C4D412yescomplemented
108C2×C3×C22⋊C4—24no—
109C2×C3×C22⋊C4—21no—
110C2×C3×C42—21no—
111#953—216no—
112C2×#217—21no—
113C2×#217—24no—
114#951—24no—
115#951—24no—
116#950—216no—
117#949—24no—
118#949—24no—
119C2×#216—22no—
120#942—28no—
121C2×#215—22no—
122#940—24no—
123#940—24no—
124#938—216no—
125#936—24no—
126#936—24no—
127C2×#214—22no—
128#932—28no—
129C2×#213—22no—
130#926—22no—
131#926D414yescomplemented
132C2×C4⋊Dic3—21no—
133C2×C4×Dic3C2312yes—
134C2×#208—21no—
135C2×#208—22no—
136C2×#208—21no—
137C2×#208—22no—
138C2×#208—22no—
139C2×#208D414yescomplemented
140C2×#208C2312yes—
141C2×#208C2312yes—
142C22×C3⋊C8—21no—
143C22×C3⋊C8—21no—
144#837—28no—
145#833—28no—
146#810—24no—
147#809—24no—
148C22×#41—31no—
149C22×#41C2×D311yescharacteristic
150C23×D4C2×D311yescharacteristic
151#575—64no—
152#575—64no—
153C2×#137—32no—
154C2×#137—61no—
155C2×AGL(1,ℤ/8)—32no—
156C2×AGL(1,ℤ/8)—61no—
157C2×#135—62no—
158C22×M16—31no—
159C22×M16—31no—
160#535—22no—
161#535—22no—
162#535—22no—
163#535—64no—
164#535—64no—
165#535C2×D314yes—
166C2×#127—21no—
167C2×#127—32no—
168C2×#124—21no—
169C2×#124—32no—
170C2×#121—22no—
171C2×#121—62no—
172C2×#120—22no—
173C2×#120—62no—
174C2×#117—31no—
175C2×#117C2×D311yescharacteristic
176#421—64no—
177C2×#104—34no—
178#419—32no—
179#418—32no—
180#417—62no—
181#416—62no—
182C2×#100—34no—
183C2×#100—64no—
184#339—34no—
185C24×C3—22no—
186C24×C3—21no—
187C24×C3—24no—
188C24×C3—22no—
189C24×C3—24no—
190C24×C3—84no—
191C24×C3C2×D414yes—
192C24×C3C2×D411yescharacteristic
193C23×D3—21no—
194C3×#41—24no—
195C3×#41—24no—
196C3×#41—22no—
197C3×#41—22no—
198C3×#41—22no—
199C3×#41—22no—
200C3×#41—42no—
201C3×#41—42no—
202C3×#41—42no—
203C3×#41—42no—
204C2×C3×Q8—21no—
205C2×C3×Q8—22no—
206C2×C3×Q8—22no—
207C2×C3×Q8C2×D412yes—
208C2×C3×D4—22no—
209C2×C3×D4—22no—
210C2×C3×D4—216no—
211C2×C3×D4—22no—
212C2×C3×D4—24no—
213C2×C3×D4—22no—
214C2×C3×D4—22no—
215C2×C3×D4—21no—
216C2×C3×D4—22no—
217C2×C3×D4—24no—
218C2×C3×D4—22no—
219C2×C3×D4—22no—
220C2×C3×D4—22no—
221C2×C3×D4—22no—
222C2×C3×D4—22no—
223C2×C3×D4—22no—
224C2×C3×D4—42no—
225C2×C3×D4—42no—
226C2×C3×D4—42no—
227C2×C3×D4—42no—
228C2×C3×D4—42no—
229C2×C3×D4—42no—
230C2×C3×D4—42no—
231C2×C3×D4—42no—
232C2×C3×D4—42no—
233C2×C3×D4—42no—
234C2×C3×D4—88no—
235C2×C3×D4C2×D412yes—
236C22×C3×C4—22no—
237C22×C3×C4—21no—
238C22×C3×C4—22no—
239C22×C3×C4—22no—
240C22×C3×C4—42no—
241C22×C3×C4—42no—
242C22×C3×C4C2×D412yes—
243C22×C3×C4C2×D412yes—
244C22×C3×C4C2×D412yes—
245C22×C3×C4C2×D411yescharacteristic
246C22×C3×C4C2×D411yescharacteristic
247C22×C3×C4C2×D411yescharacteristic
248C22×C3×C4C2×D411yescharacteristic
249C22×C3×C4C2×D411yescharacteristic
250C22×C3×C4#4112yes—
251C22×C3×C4C2411yescharacteristic
252C2×#67—24no—
253C2×#67—216no—
254C2×#67—41no—
255C2×#67—41no—
256C2×#67—42no—
257C2×#67—88no—
258C22×Dic3—22no—
259C22×Dic3—21no—
260#235—24no—
261#235—24no—
262#235—24no—
263#235—24no—
264#235—42no—
265#235—42no—
266#235—42no—
267#235—42no—
268C2×D12—21no—
269C2×D12—21no—
270C2×D12—21no—
271C2×D12—21no—
272C2×D12—21no—
273C2×D12C2×D412yescomplemented
274C2×C4×D3—24no—
275C2×C4×D3—41no—
276C2×C4×D3—41no—
277C2×C4×D3—42no—
278C2×Dic6—21no—
279C2×Dic6—21no—
280C2×Dic6—21no—
281C2×Dic6—21no—
282C2×Dic6—21no—
283C2×Dic6C2×D412yescomplemented
284C3×C4⋊C4—22no—
285C3×C4⋊C4C2×D414yes—
286C3×C22⋊C4—216no—
287C3×C22⋊C4—22no—
288C3×C22⋊C4—22no—
289C3×C42—22no—
290C3×C42—22no—
291#217—216no—
292#217—24no—
293#216—28no—
294#215—28no—
295#214—28no—
296#213—28no—
297C4⋊Dic3—24no—
298C4×Dic3—22no—
299C4×Dic3C2×D414yescomplemented
300#208—24no—
301#208—22no—
302#208—22no—
303#208—22no—
304#208—42no—
305#208C2×D414yescomplemented
306C2×C3⋊C8—24no—
307C2×C3⋊C8—22no—
308C2×C3⋊C8—22no—
309C2×C3⋊C8—42no—
310C25#6712yes—
311C2×#41—21no—
312C2×#41—21no—
313C2×#41—22no—
314C2×#41—22no—
315C2×#41—22no—
316C2×#41—22no—
317C2×#41—34no—
318C2×#41—62no—
319C2×#41—62no—
320C2×#41—62no—
321C2×#41—61no—
322C2×#41—61no—
323C2×#41—61no—
324C2×#41—61no—
325C2×#41#6712yescomplemented
326C2×#41C22×D312yes—
327C22×Q8—31no—
328C22×Q8#6711yescharacteristic, complemented
329C22×D4—21no—
330C22×D4—24no—
331C22×D4—22no—
332C22×D4—22no—
333C22×D4—22no—
334C22×D4—22no—
335C22×D4—21no—
336C22×D4—21no—
337C22×D4—21no—
338C22×D4—21no—
339C22×D4—31no—
340C22×D4—61no—
341C22×D4—64no—
342C22×D4#6712yes—
343C22×D4#6711yescharacteristic, complemented
344C22×D4C22×D312yes—
345C23×C4—21no—
346C23×C4—61no—
347C23×C4C22×D311yescharacteristic
348#137—64no—
349#137—68no—
350#137—64no—
351AGL(1,ℤ/8)—64no—
352AGL(1,ℤ/8)—68no—
353AGL(1,ℤ/8)—64no—
354#135—616no—
355C2×Q16—62no—
356C2×SD16—62no—
357C2×SD16—62no—
358C2×D8—62no—
359C2×M16—34no—
360C2×M16—32no—
361C2×M16—32no—
362C2×M16—62no—
363C2×M16—61no—
364C2×M16—61no—
365C2×M16—62no—
366C2×M16—62no—
367C22×C8—61no—
368C22×C8—61no—
369#127—24no—
370#127—24no—
371#127—64no—
372#127—64no—
373#124—24no—
374#124—24no—
375#124—64no—
376#124—64no—
377#121—28no—
378#121—28no—
379#121—616no—
380#120—28no—
381#120—28no—
382#120—616no—
383#117—21no—
384#117—21no—
385#117—34no—
386#117—62no—
387#117#6712yescomplemented
388#117C22×D312yes—
389C2×C4⋊C4—61no—
390C2×C4⋊C4#6712yescomplemented
391C2×C22⋊C4—24no—
392C2×C22⋊C4—21no—
393C2×C22⋊C4—61no—
394C2×C22⋊C4—64no—
395C2×C42—21no—
396C2×C42—32no—
397#104—68no—
398#103—64no—
399#102—64no—
400#100—68no—
401C23×C3—24no—
402C23×C3—24no—
403C23×C3—22no—
404C23×C3—24no—
405C23×C3—42no—
406C23×C3—48no—
407C23×C3—44no—
408C23×C3—48no—
409C23×C3—42no—
410C23×C3—44no—
411C23×C3—44no—
412C23×C3—84no—
413C23×C3—88no—
414C23×C3—88no—
415C23×C3#12012yes—
416C23×C3#12011yescharacteristic
417C23×C3#12011yescharacteristic
418C23×C3#12112yes—
419C23×C3C22×D411yescharacteristic
420C22×D3—22no—
421C22×D3—44no—
422C22×D3—41no—
423C22×D3—41no—
424C3×Q8—22no—
425C3×Q8—22no—
426C3×Q8—42no—
427C3×D4—22no—
428C3×D4—22no—
429C3×D4—42no—
430C3×D4—42no—
431C3×D4—44no—
432C3×D4—42no—
433C3×D4—42no—
434C3×D4—42no—
435C3×D4—42no—
436C3×D4—44no—
437C3×D4—44no—
438C3×D4—42no—
439C3×D4—816no—
440C2×C3×C4—24no—
441C2×C3×C4—22no—
442C2×C3×C4—44no—
443C2×C3×C4—42no—
444C2×C3×C4—42no—
445C2×C3×C4—42no—
446C2×C3×C4—44no—
447C2×C3×C4#12012yes—
448C2×C3×C4#12012yes—
449C2×C3×C4#12012yes—
450C2×C3×C4#12011yescharacteristic
451C2×C3×C4#12011yescharacteristic
452C2×C3×C4#12112yes—
453C2×C3×C4#12112yes—
454C2×C3×C4#12112yes—
455C2×C3×C4#12112yes—
456C2×C3×C4#12112yes—
457C2×C3×C4#12712yes—
458C2×C3×C4#12712yes—
459C2×C3×C4C22×D411yescharacteristic
460C2×C3×C4C22×D411yescharacteristic
461C2×C3×C4C22×D411yescharacteristic
462C2×C3×C4C22×D411yescharacteristic
463C2×C3×C4C22×D411yescharacteristic
464C2×C3×C4C2×#4111yescharacteristic
465#67—44no—
466#67—44no—
467#67—816no—
468C2×Dic3—24no—
469C2×Dic3—22no—
470C2×Dic3—44no—
471C2×Dic3—41no—
472C2×Dic3—41no—
473D12—22no—
474D12—22no—
475D12—41no—
476D12—41no—
477C4×D3—44no—
478C4×D3—44no—
479Dic6—22no—
480Dic6—22no—
481Dic6—41no—
482Dic6—41no—
483C3⋊C8—24no—
484C3⋊C8—42no—
485C24—22no—
486C24—21no—
487C24—24no—
488C24—24no—
489C24—22no—
490C24—61no—
491C24—84no—
492C24C2×#6714yes—
493C24C2×#6711yescharacteristic
494#41—24no—
495#41—24no—
496#41—22no—
497#41—22no—
498#41—22no—
499#41—22no—
500#41—42no—
501#41—42no—
502#41—42no—
503#41—42no—
504#41—64no—
505#41—64no—
506#41—64no—
507#41—64no—
508#41—122no—
509#41—122no—
510#41—122no—
511#41—122no—
512C2×Q8—21no—
513C2×Q8—22no—
514C2×Q8—22no—
515C2×Q8—32no—
516C2×Q8—61no—
517C2×Q8—61no—
518C2×Q8—61no—
519C2×Q8—61no—
520C2×Q8—61no—
521C2×Q8C2×#6712yes—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—216no—
525C2×D4—22no—
526C2×D4—24no—
527C2×D4—22no—
528C2×D4—24no—
529C2×D4—22no—
530C2×D4—22no—
531C2×D4—21no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—22no—
537C2×D4—22no—
538C2×D4—32no—
539C2×D4—42no—
540C2×D4—42no—
541C2×D4—42no—
542C2×D4—42no—
543C2×D4—42no—
544C2×D4—42no—
545C2×D4—42no—
546C2×D4—42no—
547C2×D4—42no—
548C2×D4—42no—
549C2×D4—64no—
550C2×D4—616no—
551C2×D4—61no—
552C2×D4—61no—
553C2×D4—61no—
554C2×D4—61no—
555C2×D4—61no—
556C2×D4—88no—
557C2×D4—122no—
558C2×D4—121no—
559C2×D4—121no—
560C2×D4—248no—
561C2×D4C2×#6712yes—
562C22×C4—22no—
563C22×C4—21no—
564C22×C4—22no—
565C22×C4—22no—
566C22×C4—42no—
567C22×C4—42no—
568C22×C4—62no—
569C22×C4—61no—
570C22×C4—64no—
571C22×C4—122no—
572C22×C4—121no—
573C22×C4—121no—
574C22×C4D3×D412yes—
575C22×C4D3×D412yes—
576C22×C4D3×D412yes—
577C22×C4#23712yes—
578C22×C4C2×#6711yescharacteristic
579C22×C4C2×#6711yescharacteristic
580C22×C4C2×#6711yescharacteristic
581C22×C4C2×#6711yescharacteristic
582C22×C4C2×#6711yescharacteristic
583C22×C4C23×D311yescharacteristic
584Q16—68no—
585SD16—68no—
586SD16—68no—
587D8—68no—
588M16—34no—
589M16—64no—
590M16—62no—
591M16—62no—
592M16—62no—
593M16—122no—
594C2×C8—64no—
595C2×C8—62no—
596C2×C8—62no—
597C2×C8—122no—
598C4⋊C4—22no—
599C4⋊C4—64no—
600C4⋊C4C2×#6714yes—
601C22⋊C4—216no—
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—616no—
605C22⋊C4—64no—
606C42—22no—
607C42—22no—
608C42—34no—
609C42—62no—
610C22×C3—22no—
611C22×C3—22no—
612C22×C3—22no—
613C22×C3—42no—
614C22×C3—42no—
615C22×C3—48no—
616C22×C3—42no—
617C22×C3—44no—
618C22×C3—44no—
619C22×C3—48no—
620C22×C3—84no—
621C22×C3—84no—
622C22×C3—88no—
623C22×C3—88no—
624C22×C3#39212yes—
625C22×C3#39212yes—
626C22×C3C2×#12011yescharacteristic
627C22×C3C2×#12011yescharacteristic
628C22×C3C2×#12111yescharacteristic
629C2×D3—44no—
630C2×D3—42no—
631C2×D3—82no—
632C2×D3—82no—
633C3×C4—42no—
634C3×C4—44no—
635C3×C4#39212yes—
636C3×C4#39212yes—
637C3×C4C2×#12011yescharacteristic
638C3×C4C2×#12111yescharacteristic
639C3×C4C2×#12111yescharacteristic
640C3×C4C2×#12711yescharacteristic
641Dic3—44no—
642Dic3—42no—
643C23—24no—
644C23—24no—
645C23—22no—
646C23—24no—
647C23—42no—
648C23—48no—
649C23—44no—
650C23—48no—
651C23—42no—
652C23—44no—
653C23—44no—
654C23—62no—
655C23—84no—
656C23—88no—
657C23—88no—
658C23—124no—
659C23—121no—
660C23—121no—
661C23#93712yes—
662C23#93912yes—
663C23#95311yescharacteristic
664C23#95311yescharacteristic
665C23C22×#6711yescharacteristic
666Q8—22no—
667Q8—22no—
668Q8—42no—
669Q8—62no—
670Q8—62no—
671Q8—121no—
672Q8—121no—
673D4—22no—
674D4—22no—
675D4—44no—
676D4—42no—
677D4—42no—
678D4—44no—
679D4—44no—
680D4—42no—
681D4—42no—
682D4—42no—
683D4—42no—
684D4—42no—
685D4—62no—
686D4—62no—
687D4—816no—
688D4—124no—
689D4—124no—
690D4—121no—
691D4—121no—
692D4—2416no—
693C2×C4—24no—
694C2×C4—22no—
695C2×C4—44no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—64no—
701C2×C4—62no—
702C2×C4—124no—
703C2×C4—121no—
704C2×C4—121no—
705C2×C4—124no—
706C2×C4—124no—
707C2×C4#93712yes—
708C2×C4#93712yes—
709C2×C4#93712yes—
710C2×C4#93812yes—
711C2×C4#93812yes—
712C2×C4#93912yes—
713C2×C4#93912yes—
714C2×C4#93912yes—
715C2×C4#94012yes—
716C2×C4#94012yes—
717C2×C4#95311yescharacteristic
718C2×C4#95311yescharacteristic
719C2×C4C2×D3×D411yescharacteristic
720C2×C4C2×D3×D411yescharacteristic
721C2×C4C2×D3×D411yescharacteristic
722C2×C4C2×#23711yescharacteristic
723C2×C4C22×#6711yescharacteristic
724C2×C4C22×#6711yescharacteristic
725C8—64no—
726C8—122no—
727C2×C3—21no—
728C2×C3—21no—
729C2×C3—22no—
730C2×C3—22no—
731C2×C3—84no—
732C2×C3—82no—
733C2×C3C2×#39211yescharacteristic
734C2×C3#301912yes—
735D3—82no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—42no—
740C22—42no—
741C22—48no—
742C22—42no—
743C22—44no—
744C22—44no—
745C22—48no—
746C22—84no—
747C22—88no—
748C22—84no—
749C22—88no—
750C22—124no—
751C22—122no—
752C22—242no—
753C22—242no—
754C22#522312yes—
755C22#522312yes—
756C22C2×#93711yescharacteristic
757C22C2×#93911yescharacteristic
758C22C2×#95311yescharacteristic
759C4—42no—
760C4—44no—
761C4—124no—
762C4—122no—
763C4#522312yes—
764C4#522312yes—
765C4C2×#93711yescharacteristic
766C4C2×#93811yescharacteristic
767C4C2×#93911yescharacteristic
768C4C2×#94011yescharacteristic
769C3#2340211yescharacteristic, complemented, Sylow
770C2—21no—
771C2—22no—
772C2—21no—
773C2—22no—
774C2—84no—
775C2—82no—
776C2—242no—
777C2C2×#522311yescharacteristic
778C2#8410412yes—
subgroupG/H
centerC22C2×#953
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×#535C2
socleC22×C3C2×#120
hypercenterC2×#535D3
hypocenterC3#23402
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#535

Complements

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

NH ≅ G/Ntype
1. C2×C3×#535C2semidirect
2. C2×#5822C2semidirect
3. C2×#5805C2semidirect
4. C2×#5236C2semidirect
5. C22×#833C2semidirect
6. #82213C2semidirect
7. #71857C2semidirect
8. #71856C2semidirect
9. #71574C2semidirect
24. C2×#951C22semidirect
28. C2×#949C22semidirect
32. C2×#940C22semidirect
34. C2×#936C22semidirect
40. C2×#837C22semidirect
42. C2×#833C22semidirect
43. #5004C22semidirect
45. #5001C22semidirect
47. #4532C22semidirect
50. C2×#535D3semidirect
64. C2×C3×#41D4semidirect
66. C22×C3×Q8D4semidirect
78. C22×C3×D4D4semidirect
91. C2×#235D4semidirect
105. C3×#117D4semidirect
107. C2×C3×C4⋊C4D4semidirect
131. #926D4semidirect
139. C2×#208D4semidirect
273. C2×D12C2×D4semidirect
283. C2×Dic6C2×D4semidirect
299. C4×Dic3C2×D4semidirect
305. #208C2×D4semidirect
325. C2×#41#67semidirect
328. C22×Q8#67semidirect
343. C22×D4#67semidirect
387. #117#67semidirect
390. C2×C4⋊C4#67semidirect
769. C3#23402semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5352
C2×#58222
C2×#58052
C2×#52362
C22×#8332
#822132
#718572
#718562
#715742
#234023