Finite Group Databasebeta

← #10702096

Subgroups — #10702096

Order 768.

1278 conjugacy classes of subgroups.

The subgroup lattice has 796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5822C211yesmaximal, characteristic
2C2×C3×#408C211yesmaximal, characteristic, complemented
3#84072C211yesmaximal, characteristic, complemented
4#83768C211yesmaximal, characteristic, complemented
5C2×#5110C211yesmaximal, characteristic, complemented
6C2×C3⋊#338C211yesmaximal, characteristic, complemented
7#71965C211yesmaximal, characteristic, complemented
8#11040—31nomaximal, Sylow
9C22×C3×#41C2211yescharacteristic
10C22×#235C2211yescharacteristic
11C22×C3×M16C2211yescharacteristic
12C23×C3×C8C2211yescharacteristic
13C2×#951—21no—
14#5822—22no—
15#5822—22no—
16#5822—22no—
17#5822C414yescomplemented
18C2×#950—22no—
19C2×#949—21no—
20C2×#942—21no—
21C2×#932—21no—
22C2×#926C2211yescharacteristic
23C22×#208C2211yescharacteristic
24C22×#208C2211yescharacteristic
25C3×#408—22no—
26C3×#408—22no—
27C2×C3×C22⋊C8—22no—
28#5233—22no—
29#5232—22no—
30#5225—21no—
31#5215—21no—
32#5133—22no—
33#5131—21no—
34#5120—21no—
35#5113—22no—
36#5110—22no—
37#5110—22no—
38C2×(C2×D3)⋊C8—22no—
39C3⋊#338—22no—
40#4550—22no—
41C2×#575—31no—
42#2896—31no—
43#2896—31no—
44C2×#408—31no—
45C2×#408D311yescharacteristic, complemented
46C2×#338—31no—
47#1729—31no—
48C2×C3×#41—21no—
49C2×C3×#41—21no—
50C2×C3×#41—21no—
51C2×C3×#41—21no—
52C2×C3×#41—21no—
53C2×C3×#41—21no—
54C2×C3×#41—21no—
55C2×C3×#41—21no—
56C2×C3×#41—21no—
57C2×C3×#41—21no—
58C2×C3×#41C2×C412yes—
59C2×C3×#41D412yes—
60C22×C3×Q8D411yescharacteristic
61C22×C3×D4—21no—
62C22×C3×D4D411yescharacteristic
63C23×C3×C4—21no—
64C23×C3×C4C2311yescharacteristic
65C22×#67—21no—
66C2×#235—21no—
67C2×#235—21no—
68C2×#235—21no—
69C2×#235—21no—
70C2×#235—21no—
71C2×#235—21no—
72C2×#235—21no—
73C2×#235—21no—
74C2×#235—21no—
75C2×#235—21no—
76C2×#235C2×C412yes—
77C2×#235D412yes—
78C22×D12D411yescharacteristic
79C22×C4×D3—21no—
80C22×Dic6D411yescharacteristic
81C2×C3×M16—21no—
82C2×C3×M16—21no—
83C2×C3×M16—21no—
84C2×C3×M16—21no—
85C2×C3×M16—21no—
86C2×C3×M16—21no—
87C22×C3×C8—21no—
88C22×C3×C8—21no—
89C22×C3×C8—21no—
90C22×C3×C8—21no—
91C22×C3×C8—21no—
92C22×C3×C8—21no—
93C22×C3×C8D412yes—
94C22×C3×C8D412yes—
95C2×#217—21no—
96#951—24no—
97#951—24no—
98#950—28no—
99#950—28no—
100#949—24no—
101#949—24no—
102C2×#216—22no—
103#942—24no—
104#942—24no—
105C2×#215—22no—
106C2×#214—22no—
107#932—24no—
108#932—24no—
109C2×#213—22no—
110#926—21no—
111#926—21no—
112#926—21no—
113#926—21no—
114C2×C4⋊Dic3D412yes—
115C2×C4×Dic3—21no—
116C2×#208—21no—
117C2×#208—21no—
118C2×#208—21no—
119C2×#208—21no—
120C2×#208—21no—
121C2×#208—21no—
122C2×#208—21no—
123C2×#208—21no—
124C2×#208—21no—
125C2×#208—21no—
126C2×#208C2×C412yes—
127C2×#208D412yes—
128C22×C3⋊C8D412yes—
129C22×C3⋊C8D412yes—
130C3×C22⋊C8—28no—
131#835—24no—
132#832—24no—
133#821—24no—
134(C2×D3)⋊C8—28no—
135#816—24no—
136C22×#41—31no—
137C22×#41C2×D311yescharacteristic
138#575—34no—
139#575—62no—
140#575—62no—
141#575—62no—
142C2×#137—61no—
143C2×#137—61no—
144C2×AGL(1,ℤ/8)—61no—
145C2×AGL(1,ℤ/8)—61no—
146C2×#135—62no—
147C22×M16—31no—
148C22×M16—31no—
149C22×M16C2×D311yescharacteristic
150C23×C8C2×D311yescharacteristic
151C2×#117—31no—
152#419—61no—
153#419—61no—
154#418—61no—
155#418—61no—
156#417—62no—
157#417—62no—
158#416—62no—
159#416—62no—
160#408—22no—
161#408—22no—
162#408—62no—
163#408—62no—
164C2×C22⋊C8—22no—
165C2×C22⋊C8—62no—
166#338—62no—
167#336—62no—
168C24×C3—21no—
169C24×C3#4111yescharacteristic
170C23×D3—21no—
171C3×#41—22no—
172C3×#41—22no—
173C3×#41—22no—
174C3×#41—22no—
175C3×#41—22no—
176C3×#41—22no—
177C3×#41—22no—
178C3×#41—22no—
179C3×#41—41no—
180C3×#41—41no—
181C3×#41—41no—
182C3×#41—41no—
183C3×#41—41no—
184C3×#41—41no—
185C3×#41—41no—
186C3×#41—41no—
187C2×C3×Q8—21no—
188C2×C3×Q8—21no—
189C2×C3×Q8—21no—
190C2×C3×Q8—21no—
191C2×C3×Q8—21no—
192C2×C3×Q8C22⋊C412yes—
193C2×C3×D4—22no—
194C2×C3×D4—22no—
195C2×C3×D4—21no—
196C2×C3×D4—21no—
197C2×C3×D4—21no—
198C2×C3×D4—21no—
199C2×C3×D4—21no—
200C2×C3×D4—41no—
201C2×C3×D4—41no—
202C2×C3×D4—41no—
203C2×C3×D4—41no—
204C2×C3×D4C22⋊C412yes—
205C22×C3×C4—21no—
206C22×C3×C4—22no—
207C22×C3×C4—22no—
208C22×C3×C4—41no—
209C22×C3×C4—41no—
210C22×C3×C4—41no—
211C22×C3×C4—41no—
212C22×C3×C4C22×C411yescharacteristic
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2×D411yescharacteristic
221C22×C3×C4C2×D411yescharacteristic
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4#4111yescharacteristic
224C22×C3×C4#4111yescharacteristic
225C22×C3×C4#4111yescharacteristic
226C2×#67—22no—
227C2×#67—22no—
228C2×#67—41no—
229C2×#67—41no—
230C2×#67—41no—
231C2×#67—41no—
232C22×Dic3—21no—
233C22×Dic3—22no—
234#235—22no—
235#235—22no—
236#235—22no—
237#235—22no—
238#235—22no—
239#235—22no—
240#235—22no—
241#235—22no—
242#235—41no—
243#235—41no—
244#235—41no—
245#235—41no—
246#235—41no—
247#235—41no—
248#235—41no—
249#235—41no—
250C2×D12—21no—
251C2×D12—21no—
252C2×D12—21no—
253C2×D12—21no—
254C2×D12—21no—
255C2×D12C22⋊C412yes—
256C2×C4×D3—22no—
257C2×C4×D3—22no—
258C2×C4×D3—41no—
259C2×C4×D3—41no—
260C2×C4×D3—41no—
261C2×C4×D3—41no—
262C2×Dic6—21no—
263C2×Dic6—21no—
264C2×Dic6—21no—
265C2×Dic6—21no—
266C2×Dic6—21no—
267C2×Dic6C22⋊C412yes—
268C3×M16—41no—
269C3×M16—41no—
270C3×M16—41no—
271C3×M16—41no—
272C2×C3×C8—22no—
273C2×C3×C8—22no—
274C2×C3×C8—22no—
275C2×C3×C8—22no—
276C2×C3×C8—22no—
277C2×C3×C8—22no—
278C2×C3×C8—41no—
279C2×C3×C8—41no—
280C2×C3×C8—41no—
281C2×C3×C8—41no—
282#217—41no—
283#217—41no—
284#216—28no—
285#215—28no—
286#214—28no—
287#213—28no—
288C4⋊Dic3—22no—
289C4⋊Dic3—22no—
290C4×Dic3—41no—
291C4×Dic3—41no—
292#208—22no—
293#208—22no—
294#208—22no—
295#208—22no—
296#208—41no—
297#208—41no—
298#208—41no—
299#208—41no—
300C2×C3⋊C8—22no—
301C2×C3⋊C8—22no—
302C2×C3⋊C8—22no—
303C2×C3⋊C8—22no—
304C2×C3⋊C8—22no—
305C2×C3⋊C8C22⋊C414yes—
306C2×#41—21no—
307C2×#41—21no—
308C2×#41—21no—
309C2×#41—21no—
310C2×#41—21no—
311C2×#41—21no—
312C2×#41—21no—
313C2×#41—21no—
314C2×#41—21no—
315C2×#41—21no—
316C2×#41—32no—
317C2×#41—32no—
318C2×#41—61no—
319C2×#41—61no—
320C2×#41—61no—
321C2×#41—61no—
322C2×#41—61no—
323C2×#41—61no—
324C2×#41—61no—
325C2×#41—61no—
326C2×#41—61no—
327C2×#41—61no—
328C2×#41C4×D312yes—
329C2×#41#6712yes—
330C22×Q8—31no—
331C22×Q8D1211yescharacteristic
332C22×D4—21no—
333C22×D4—31no—
334C22×D4—61no—
335C22×D4D1211yescharacteristic
336C23×C4—21no—
337C23×C4—61no—
338C23×C4C22×D311yescharacteristic
339#137—64no—
340#137—64no—
341#137—64no—
342#137—64no—
343AGL(1,ℤ/8)—64no—
344AGL(1,ℤ/8)—64no—
345AGL(1,ℤ/8)—64no—
346AGL(1,ℤ/8)—64no—
347#135—68no—
348#135—68no—
349C2×Q16—62no—
350C2×SD16—62no—
351C2×SD16—62no—
352C2×D8—62no—
353C2×M16—21no—
354C2×M16—21no—
355C2×M16—21no—
356C2×M16—21no—
357C2×M16—21no—
358C2×M16—21no—
359C2×M16—32no—
360C2×M16—32no—
361C2×M16—61no—
362C2×M16—61no—
363C2×M16—61no—
364C2×M16—61no—
365C2×M16—61no—
366C2×M16—61no—
367C2×M16—61no—
368C2×M16—61no—
369C2×M16—61no—
370C2×M16—61no—
371C22×C8—21no—
372C22×C8—21no—
373C22×C8—21no—
374C22×C8—21no—
375C22×C8—21no—
376C22×C8—21no—
377C22×C8—32no—
378C22×C8—32no—
379C22×C8#6712yes—
380C22×C8#6712yes—
381#117—61no—
382#117—61no—
383#117—61no—
384#117—61no—
385C2×C4⋊C4—32no—
386C2×C22⋊C4—61no—
387C2×C42—61no—
388#103—64no—
389#103—64no—
390#102—64no—
391#102—64no—
392C22⋊C8—28no—
393C22⋊C8—68no—
394C23×C3—22no—
395C23×C3—42no—
396C23×C3—44no—
397C23×C3—41no—
398C23×C3—41no—
399C23×C3C4×D411yescharacteristic
400C23×C3#12111yescharacteristic
401C23×C3#12111yescharacteristic
402C23×C3#12111yescharacteristic
403C23×C3#12311yescharacteristic
404C23×C3#12311yescharacteristic
405C23×C3#12411yescharacteristic
406C22×D3—22no—
407C22×D3—44no—
408C22×D3—41no—
409C22×D3—41no—
410C3×Q8—22no—
411C3×Q8—22no—
412C3×Q8—41no—
413C3×Q8—41no—
414C3×D4—22no—
415C3×D4—22no—
416C3×D4—42no—
417C3×D4—42no—
418C3×D4—42no—
419C3×D4—42no—
420C3×D4—41no—
421C3×D4—41no—
422C2×C3×C4—22no—
423C2×C3×C4—41no—
424C2×C3×C4—41no—
425C2×C3×C4—42no—
426C2×C3×C4—42no—
427C2×C3×C4—42no—
428C2×C3×C4—42no—
429C2×C3×C4C2×C22⋊C411yescharacteristic
430C2×C3×C4C2×C22⋊C411yescharacteristic
431C2×C3×C4C2×C22⋊C411yescharacteristic
432C2×C3×C4C4×D411yescharacteristic
433C2×C3×C4C4×D411yescharacteristic
434C2×C3×C4C4×D411yescharacteristic
435C2×C3×C4#12011yescharacteristic
436C2×C3×C4#12011yescharacteristic
437C2×C3×C4#12011yescharacteristic
438C2×C3×C4#12011yescharacteristic
439C2×C3×C4#12011yescharacteristic
440C2×C3×C4#12011yescharacteristic
441C2×C3×C4#12011yescharacteristic
442C2×C3×C4#12011yescharacteristic
443C2×C3×C4#12111yescharacteristic
444C2×C3×C4#12111yescharacteristic
445C2×C3×C4#12111yescharacteristic
446C2×C3×C4#12111yescharacteristic
447C2×C3×C4#12111yescharacteristic
448C2×C3×C4#12111yescharacteristic
449C2×C3×C4#12111yescharacteristic
450C2×C3×C4#12111yescharacteristic
451C2×C3×C4#12111yescharacteristic
452C2×C3×C4#12311yescharacteristic
453C2×C3×C4#12311yescharacteristic
454C2×C3×C4#12411yescharacteristic
455C2×C3×C4#12711yescharacteristic
456C2×C3×C4#12711yescharacteristic
457#67—42no—
458#67—42no—
459#67—42no—
460#67—42no—
461C2×Dic3—22no—
462C2×Dic3—41no—
463C2×Dic3—41no—
464C2×Dic3—44no—
465C2×Dic3—42no—
466D12—22no—
467D12—22no—
468D12—41no—
469D12—41no—
470C4×D3—42no—
471C4×D3—42no—
472C4×D3—42no—
473C4×D3—42no—
474Dic6—22no—
475Dic6—22no—
476Dic6—41no—
477Dic6—41no—
478C3×C8—42no—
479C3×C8—42no—
480C3⋊C8—24no—
481C3⋊C8—42no—
482C24—21no—
483C24—61no—
484C24#23511yescharacteristic
485#41—22no—
486#41—22no—
487#41—22no—
488#41—22no—
489#41—22no—
490#41—22no—
491#41—22no—
492#41—22no—
493#41—41no—
494#41—41no—
495#41—41no—
496#41—41no—
497#41—41no—
498#41—41no—
499#41—41no—
500#41—41no—
501#41—62no—
502#41—62no—
503#41—62no—
504#41—62no—
505#41—62no—
506#41—62no—
507#41—62no—
508#41—62no—
509#41—121no—
510#41—121no—
511#41—121no—
512#41—121no—
513#41—121no—
514#41—121no—
515#41—121no—
516#41—121no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—32no—
523C2×Q8—61no—
524C2×Q8—61no—
525C2×Q8—61no—
526C2×Q8—61no—
527C2×Q8—61no—
528C2×Q8(C2×D3)⋊C412yes—
529C2×D4—22no—
530C2×D4—22no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—32no—
537C2×D4—41no—
538C2×D4—41no—
539C2×D4—41no—
540C2×D4—41no—
541C2×D4—62no—
542C2×D4—62no—
543C2×D4—61no—
544C2×D4—61no—
545C2×D4—61no—
546C2×D4—61no—
547C2×D4—61no—
548C2×D4—121no—
549C2×D4—121no—
550C2×D4—121no—
551C2×D4—121no—
552C2×D4(C2×D3)⋊C412yes—
553C22×C4—21no—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—41no—
557C22×C4—41no—
558C22×C4—41no—
559C22×C4—41no—
560C22×C4—61no—
561C22×C4—62no—
562C22×C4—62no—
563C22×C4—62no—
564C22×C4—121no—
565C22×C4—121no—
566C22×C4—121no—
567C22×C4—121no—
568C22×C4C2×C4×D311yescharacteristic
569C22×C4C2×D1211yescharacteristic
570C22×C4#23511yescharacteristic
571C22×C4D3×D411yescharacteristic
572C22×C4D3×D411yescharacteristic
573C22×C4D3×D411yescharacteristic
574C22×C4D3×D411yescharacteristic
575C22×C4D3×D411yescharacteristic
576C22×C4D3×D411yescharacteristic
577C22×C4#23711yescharacteristic
578C22×C4#23711yescharacteristic
579C22×C4C2×#6711yescharacteristic
580C22×C4C2×#6711yescharacteristic
581C22×C4C2×#6711yescharacteristic
582Q16—68no—
583SD16—68no—
584SD16—68no—
585D8—68no—
586M16—41no—
587M16—41no—
588M16—41no—
589M16—41no—
590M16—62no—
591M16—62no—
592M16—62no—
593M16—62no—
594M16—121no—
595M16—121no—
596M16—121no—
597M16—121no—
598C2×C8—22no—
599C2×C8—22no—
600C2×C8—22no—
601C2×C8—22no—
602C2×C8—22no—
603C2×C8—22no—
604C2×C8—34no—
605C2×C8—41no—
606C2×C8—41no—
607C2×C8—41no—
608C2×C8—41no—
609C2×C8—62no—
610C2×C8—62no—
611C2×C8—62no—
612C2×C8—62no—
613C2×C8—62no—
614C4⋊C4—62no—
615C4⋊C4—62no—
616C22⋊C4—121no—
617C22⋊C4—121no—
618C42—121no—
619C42—121no—
620C22×C3—22no—
621C22×C3—22no—
622C22×C3—22no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3—41no—
626C22×C3—41no—
627C22×C3—44no—
628C22×C3—42no—
629C22×C3—82no—
630C22×C3—82no—
631C22×C3#38611yescharacteristic
632C22×C3#38611yescharacteristic
633C22×C3#39011yescharacteristic
634C22×C3#39211yescharacteristic
635C22×C3#39411yescharacteristic
636C22×C3#39411yescharacteristic
637C22×C3#39411yescharacteristic
638C2×D3—44no—
639C2×D3—42no—
640C2×D3—82no—
641C2×D3—82no—
642C3×C4—42no—
643C3×C4#37911yescharacteristic
644C3×C4#38611yescharacteristic
645C3×C4#38611yescharacteristic
646C3×C4#39011yescharacteristic
647C3×C4#39211yescharacteristic
648C3×C4#39211yescharacteristic
649C3×C4#39211yescharacteristic
650C3×C4#39411yescharacteristic
651Dic3—42no—
652Dic3—82no—
653C23—22no—
654C23—42no—
655C23—44no—
656C23—41no—
657C23—41no—
658C23—62no—
659C23—124no—
660C23—121no—
661C23—121no—
662C23#88311yescharacteristic
663C23#88411yescharacteristic
664C23#88411yescharacteristic
665C23#88511yescharacteristic
666C23C4×#6711yescharacteristic
667C23#92911yescharacteristic
668C23#93011yescharacteristic
669Q8—22no—
670Q8—22no—
671Q8—41no—
672Q8—41no—
673Q8—62no—
674Q8—62no—
675Q8—121no—
676Q8—121no—
677D4—22no—
678D4—22no—
679D4—42no—
680D4—42no—
681D4—42no—
682D4—42no—
683D4—41no—
684D4—41no—
685D4—62no—
686D4—62no—
687D4—122no—
688D4—122no—
689D4—122no—
690D4—122no—
691D4—121no—
692D4—121no—
693C2×C4—22no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—62no—
701C2×C4—121no—
702C2×C4—121no—
703C2×C4—122no—
704C2×C4—122no—
705C2×C4—122no—
706C2×C4—122no—
707C2×C4—124no—
708C2×C4—122no—
709C2×C4D3×C22⋊C411yescharacteristic
710C2×C4D3×C22⋊C411yescharacteristic
711C2×C4#67⋊C411yescharacteristic
712C2×C4#67⋊C411yescharacteristic
713C2×C4#88211yescharacteristic
714C2×C4#88211yescharacteristic
715C2×C4#88211yescharacteristic
716C2×C4#88311yescharacteristic
717C2×C4#88411yescharacteristic
718C2×C4#88411yescharacteristic
719C2×C4#88511yescharacteristic
720C2×C4#88611yescharacteristic
721C2×C4C2×(C2×D3)⋊C411yescharacteristic
722C2×C4C4×#6711yescharacteristic
723C2×C4#93011yescharacteristic
724C2×C4#93711yescharacteristic
725C2×C4#93711yescharacteristic
726C2×C4#93711yescharacteristic
727C2×C4#93711yescharacteristic
728C2×C4#93811yescharacteristic
729C2×C4#93811yescharacteristic
730C2×C4#93911yescharacteristic
731C2×C4#93911yescharacteristic
732C2×C4#93911yescharacteristic
733C2×C4#93911yescharacteristic
734C2×C4#94011yescharacteristic
735C2×C4#94011yescharacteristic
736C2×C4#95311yescharacteristic
737C8—42no—
738C8—42no—
739C8—64no—
740C8—122no—
741C2×C3—21no—
742C2×C3—21no—
743C2×C3—21no—
744C2×C3—21no—
745C2×C3—21no—
746C2×C3—21no—
747C2×C3—82no—
748C2×C3#143811yescharacteristic
749C2×C3#201712yes—
750D3—82no—
751C22—22no—
752C22—22no—
753C22—22no—
754C22—41no—
755C22—41no—
756C22—41no—
757C22—41no—
758C22—44no—
759C22—42no—
760C22—82no—
761C22—82no—
762C22—124no—
763C22—122no—
764C22—242no—
765C22—242no—
766C22#495611yescharacteristic
767C22#495711yescharacteristic
768C22#495911yescharacteristic
769C22#495911yescharacteristic
770C22#496011yescharacteristic
771C22#496111yescharacteristic
772C22#521311yescharacteristic
773C4—42no—
774C4—122no—
775C4—242no—
776C4#495511yescharacteristic
777C4#495611yescharacteristic
778C4#495711yescharacteristic
779C4#495811yescharacteristic
780C4#496011yescharacteristic
781C4#496111yescharacteristic
782C4#522311yescharacteristic
783C4#522311yescharacteristic
784C3#1104011yescharacteristic, complemented, Sylow
785C2—21no—
786C2—21no—
787C2—21no—
788C2—21no—
789C2—21no—
790C2—21no—
791C2—82no—
792C2—242no—
793C2#7001312yes—
794C2#7155011yescharacteristic
subgroupG/H
centerC2×C4#940
commutatorC22×C3×C4C22×C4
FrattiniC23×C4C22×D3
FittingC2×C3×#408C2
socleC22×C3#392
prime radicalC2×#5822C2
cosocleC23×C3×C4C23
hypercenterC2×#408D3
hypocenterC3#11040
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#408

Complements

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

NH ≅ G/Ntype
2. C2×C3×#408C2semidirect
3. #84072C2semidirect
4. #83768C2semidirect
5. C2×#5110C2semidirect
6. C2×C3⋊#338C2semidirect
7. #71965C2semidirect
17. #5822C4semidirect
45. C2×#408D3semidirect
784. C3#11040semidirect

Maximal subgroups

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

subgroupindex
C2×#58222
C2×C3×#4082
#840722
#837682
C2×#51102
C2×C3⋊#3382
#719652
#110403