Finite Group Databasebeta

← #10826958

Subgroups — #10826958

Order 768.

1928 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×#5606C211yesmaximal, characteristic
2C22×#897C211yesmaximal, characteristic, complemented
3C2×#5040C211yesmaximal, characteristic, complemented
4C2×#4783C212yesmaximal, complemented
5C2×#4739C211yesmaximal, characteristic, complemented
6C3×#1874C211yesmaximal, characteristic, complemented
7#71559C211yesmaximal, characteristic, complemented
8#70205C212yesmaximal, complemented
9#69955C211yesmaximal, characteristic, complemented
10#68888C212yesmaximal, complemented
11#68879C212yesmaximal, complemented
12#23922—31nomaximal, Sylow
13C22×#237C2211yescharacteristic
14C23×C4×D3C2211yescharacteristic
15C23×Dic6C2211yescharacteristic
16C2×C3×#121C2211yescharacteristic
17C22×C3×C4⋊C4C2211yescharacteristic
18C2×#938C2211yescharacteristic
19C2×#937—21no—
20C2×D4×Dic3—21no—
21C22×#214C2212yescomplemented
22C22×(C2×D3)⋊C4—21no—
23C22×C4⋊Dic3—21no—
24C2×#924C2211yescharacteristic
25C22×Dic12C2212yescomplemented
26#5606—24no—
27#5606—24no—
28C2×#897—21no—
29C2×#897—21no—
30C2×#897—28no—
31C2×#897C2211yescharacteristic
32C2×#897C2212yes—
33C2×#897C2212yes—
34C2×#892C2211yescharacteristic
35C2×#883—21no—
36C2×#67⋊C4—21no—
37C2×C3×#102C2212yescomplemented
38C2×C3×C22⋊C8C2211yescharacteristic
39C2×#830C2211yescharacteristic
40C2×(C2×D3)⋊C8C2212yes—
41C2×(C2×D3)⋊C8C2212yes—
42C2×#816C2212yescomplemented
43#5040—24no—
44C2×#810C2212yescomplemented
45C2×#810C2212yescomplemented
46#4783—28no—
47#4739—24no—
48C3×#340C2212yescomplemented
49#4529C2212yescomplemented
50C2×#525—31no—
51C22×C22⋊Q8—31no—
52C2×#452—32no—
53C2×#451—31no—
54C2×#448—31no—
55#2001—32no—
56#2000—32no—
57#1874D311yescharacteristic, complemented
58#1873—32no—
59#1872—31no—
60#1779—31no—
61C24×D3D411yescharacteristic
62C22×C3×D4—21no—
63C22×C3×D4C2311yescharacteristic
64C23×C3×C4—21no—
65C23×C3×C4C2311yescharacteristic
66C22×#67—21no—
67C22×#67—21no—
68C23×Dic3—21no—
69C23×Dic3—21no—
70C23×Dic3D411yescharacteristic
71C2×#237—22no—
72C2×#237—24no—
73C2×#237—22no—
74C2×#237—42no—
75C22×C4×D3—22no—
76C22×C4×D3—22no—
77C22×C4×D3—24no—
78C22×C4×D3—42no—
79C22×C4×D3D411yescharacteristic
80C22×C4×D3D411yescharacteristic
81C22×C4×D3C2311yescharacteristic
82C22×C4×D3C2311yescharacteristic
83C22×Dic6—21no—
84C22×Dic6—24no—
85C22×Dic6—22no—
86C22×Dic6—22no—
87C22×Dic6—42no—
88C22×Dic6C2312yes—
89C22×Dic6C2311yescharacteristic
90C22×C3×C8C2312yes—
91C3×#121—22no—
92C3×#121D414yes—
93C2×C3×C4⋊C4—21no—
94C2×C3×C4⋊C4—24no—
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C4⋊C4C2312yes—
97C2×C3×C22⋊C4—21no—
98C2×#217—21no—
99C2×#217—21no—
100#938—22no—
101#938—22no—
102#937—28no—
103D4×Dic3—28no—
104C2×#214—24no—
105C2×#214—24no—
106C2×#214—42no—
107C2×(C2×D3)⋊C4—28no—
108C2×(C2×D3)⋊C4—21no—
109C2×(C2×D3)⋊C4—21no—
110C2×(C2×D3)⋊C4—22no—
111C2×(C2×D3)⋊C4—22no—
112C2×C4⋊Dic3—28no—
113C2×C4⋊Dic3—21no—
114C2×C4⋊Dic3—22no—
115C2×C4⋊Dic3—22no—
116C2×C4⋊Dic3C2311yescharacteristic
117#924—22no—
118#924D414yes—
119C2×Dic3⋊C4—21no—
120C2×C4×Dic3—21no—
121C22×C3⋊C8C2312yes—
122C2×Dic12—24no—
123C2×Dic12—24no—
124C2×Dic12—42no—
125#897—28no—
126#897—28no—
127#897—24no—
128#897—24no—
129#897—22no—
130#897—24no—
131#897—22no—
132#897D418yescomplemented
133#892—22no—
134#892—22no—
135#883—28no—
136#67⋊C4—28no—
137C3×#102—24no—
138C3×C22⋊C8—22no—
139#830—22no—
140(C2×D3)⋊C8—24no—
141(C2×D3)⋊C8—42no—
142#816—24no—
143#810—24no—
144#810—24no—
145C22×#41—31no—
146C23×Q8—31no—
147C24×C4—31no—
148C22×Q16—32no—
149C22×SD16—32no—
150#525—64no—
151#525—64no—
152C2×#123—61no—
153C2×C22⋊Q8—31no—
154C2×C22⋊Q8—32no—
155C2×C22⋊Q8—32no—
156C2×C22⋊Q8—31no—
157C2×C22⋊Q8—68no—
158C2×C22⋊Q8—61no—
159C2×C22⋊Q8—61no—
160C2×#121—31no—
161C2×#121C2×D311yescharacteristic
162C2×#120—61no—
163C2×C4×D4—61no—
164C2×C4×D4—61no—
165C2×#117—31no—
166C22×C4⋊C4—61no—
167C22×C4⋊C4C2×D311yescharacteristic
168C22×C22⋊C4—61no—
169#452—68no—
170#451—64no—
171#448—64no—
172C2×#103—32no—
173C2×#103—32no—
174C2×#103—32no—
175C2×#102C2×D312yescomplemented
176C2×C22⋊C8—31no—
177C2×C22⋊C8—32no—
178C2×C22⋊C8—32no—
179C2×C22⋊C8C2×D311yescharacteristic
180#340—32no—
181#340C2×D312yescomplemented
182C24×C3—21no—
183C24×C3C2×D411yescharacteristic
184C23×D3—22no—
185C23×D3—22no—
186C23×D3—22no—
187C23×D3—22no—
188C23×D3—22no—
189C23×D3—41no—
190C23×D3—41no—
191C23×D3C2×D411yescharacteristic
192C23×D3C2×D411yescharacteristic
193C2×C3×D4—24no—
194C2×C3×D4—22no—
195C2×C3×D4—21no—
196C2×C3×D4—22no—
197C2×C3×D4—42no—
198C2×C3×D4—42no—
199C2×C3×D4C2×D412yes—
200C22×C3×C4—22no—
201C22×C3×C4—22no—
202C22×C3×C4—24no—
203C22×C3×C4—21no—
204C22×C3×C4—22no—
205C22×C3×C4—42no—
206C22×C3×C4—42no—
207C22×C3×C4C2×D412yes—
208C22×C3×C4C2×D411yescharacteristic
209C22×C3×C4C2×D412yes—
210C22×C3×C4C2411yescharacteristic
211C2×#67—24no—
212C2×#67—24no—
213C2×#67—42no—
214C2×#67—42no—
215C2×#67—42no—
216C2×#67—42no—
217C22×Dic3—24no—
218C22×Dic3—24no—
219C22×Dic3—22no—
220C22×Dic3—21no—
221C22×Dic3—21no—
222C22×Dic3—22no—
223C22×Dic3—22no—
224C22×Dic3—41no—
225C22×Dic3—42no—
226C22×Dic3—42no—
227C22×Dic3—42no—
228C22×Dic3—42no—
229C22×Dic3C2×D411yescharacteristic
230C22×Dic3C2×D411yescharacteristic
231#237—48no—
232#237—48no—
233C2×C4×D3—21no—
234C2×C4×D3—21no—
235C2×C4×D3—22no—
236C2×C4×D3—22no—
237C2×C4×D3—22no—
238C2×C4×D3—22no—
239C2×C4×D3—22no—
240C2×C4×D3—21no—
241C2×C4×D3—21no—
242C2×C4×D3—22no—
243C2×C4×D3—22no—
244C2×C4×D3—48no—
245C2×C4×D3—48no—
246C2×C4×D3—41no—
247C2×C4×D3—41no—
248C2×C4×D3C2×D414yes—
249C2×Dic6—22no—
250C2×Dic6—22no—
251C2×Dic6—22no—
252C2×Dic6—22no—
253C2×Dic6—22no—
254C2×Dic6—22no—
255C2×Dic6—24no—
256C2×Dic6—22no—
257C2×Dic6—21no—
258C2×Dic6—48no—
259C2×Dic6—48no—
260C2×Dic6—42no—
261C2×Dic6—42no—
262C2×Dic6C2×D414yes—
263C2×Dic6C2×D412yes—
264C2×C3×C8—22no—
265C2×C3×C8—22no—
266C2×C3×C8—22no—
267C3×C4⋊C4—24no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—22no—
270C3×C4⋊C4C2×D412yes—
271C3×C4⋊C4C2×D414yes—
272C3×C22⋊C4—24no—
273#217—24no—
274#217—24no—
275#214—48no—
276(C2×D3)⋊C4—24no—
277(C2×D3)⋊C4—24no—
278(C2×D3)⋊C4—28no—
279(C2×D3)⋊C4—28no—
280C4⋊Dic3—24no—
281C4⋊Dic3—28no—
282C4⋊Dic3—21no—
283C4⋊Dic3—28no—
284C4⋊Dic3C2×D412yes—
285Dic3⋊C4—24no—
286C4×Dic3—24no—
287C2×C3⋊C8—22no—
288C2×C3⋊C8—22no—
289C2×C3⋊C8—22no—
290Dic12—48no—
291C25—31no—
292C2×#41—64no—
293C2×#41—62no—
294C2×#41—62no—
295C2×#41—122no—
296C22×Q8—32no—
297C22×Q8—31no—
298C22×Q8—64no—
299C22×Q8—61no—
300C22×Q8—62no—
301C22×Q8—62no—
302C22×Q8—122no—
303C22×D4—21no—
304C22×D4—61no—
305C22×D4—61no—
306C22×D4C22×D311yescharacteristic
307C23×C4—21no—
308C23×C4—31no—
309C23×C4—31no—
310C23×C4—31no—
311C23×C4—31no—
312C23×C4—31no—
313C23×C4—64no—
314C23×C4—61no—
315C23×C4—61no—
316C23×C4—62no—
317C23×C4—62no—
318C23×C4—122no—
319C23×C4C22×D311yescharacteristic
320C2×Q16—64no—
321C2×Q16—64no—
322C2×Q16—122no—
323C2×SD16—64no—
324C2×SD16—64no—
325C2×SD16—122no—
326C22×C8—32no—
327C22×C8C22×D312yes—
328#123—68no—
329C22⋊Q8—34no—
330C22⋊Q8—38no—
331C22⋊Q8—64no—
332C22⋊Q8—64no—
333C22⋊Q8—62no—
334C22⋊Q8—68no—
335C22⋊Q8—68no—
336C22⋊Q8—62no—
337C22⋊Q8—62no—
338C22⋊Q8—64no—
339#121—22no—
340#121—62no—
341#121—62no—
342#121D1214yes—
343#120—68no—
344C4×D4—68no—
345C4×D4—68no—
346#117—62no—
347#117—62no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—24no—
350C2×C4⋊C4—31no—
351C2×C4⋊C4—62no—
352C2×C4⋊C4—62no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4—68no—
355C2×C4⋊C4—61no—
356C2×C4⋊C4C22×D311yescharacteristic
357C2×C4⋊C4C22×D312yes—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—62no—
360C2×C22⋊C4—62no—
361C2×C22⋊C4—61no—
362C2×C22⋊C4—61no—
363C2×C22⋊C4—68no—
364C2×C22⋊C4—61no—
365C2×C22⋊C4—61no—
366C2×C42—61no—
367#103—64no—
368#103—64no—
369#103—64no—
370#102—24no—
371C22⋊C8—22no—
372C22⋊C8—64no—
373C22⋊C8—62no—
374C22⋊C8—122no—
375C23×C3—21no—
376C23×C3—21no—
377C23×C3—21no—
378C23×C3—21no—
379C23×C3—22no—
380C23×C3—41no—
381C23×C3—41no—
382C23×C3—41no—
383C23×C3—41no—
384C23×C3—41no—
385C23×C3—41no—
386C23×C3#12012yes—
387C23×C3#13512yes—
388C23×C3#13712yes—
389C23×C3C22×D411yescharacteristic
390C22×D3—28no—
391C22×D3—21no—
392C22×D3—21no—
393C22×D3—21no—
394C22×D3—21no—
395C22×D3—21no—
396C22×D3—21no—
397C22×D3—21no—
398C22×D3—21no—
399C22×D3—21no—
400C22×D3—21no—
401C22×D3—21no—
402C22×D3—21no—
403C22×D3—44no—
404C22×D3—44no—
405C22×D3—44no—
406C22×D3—44no—
407C22×D3—44no—
408C22×D3—44no—
409C22×D3#12012yes—
410C22×D3#13712yes—
411C3×D4—24no—
412C3×D4—48no—
413C3×D4—42no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—24no—
417C2×C3×C4—24no—
418C2×C3×C4—22no—
419C2×C3×C4—24no—
420C2×C3×C4—48no—
421C2×C3×C4—42no—
422C2×C3×C4—41no—
423C2×C3×C4—41no—
424C2×C3×C4—42no—
425C2×C3×C4#12012yes—
426C2×C3×C4C22×D411yescharacteristic
427C2×C3×C4C22×D412yes—
428C2×C3×C4C22×D411yescharacteristic
429C2×C3×C4H(5,𝔽2)12yes—
430#67—48no—
431#67—48no—
432C2×Dic3—21no—
433C2×Dic3—21no—
434C2×Dic3—22no—
435C2×Dic3—22no—
436C2×Dic3—21no—
437C2×Dic3—24no—
438C2×Dic3—21no—
439C2×Dic3—21no—
440C2×Dic3—44no—
441C2×Dic3—48no—
442C2×Dic3—48no—
443C2×Dic3—42no—
444C2×Dic3—41no—
445C2×Dic3—42no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3#12012yes—
450C4×D3—24no—
451C4×D3—24no—
452C4×D3—44no—
453C4×D3—44no—
454C4×D3—42no—
455C4×D3—42no—
456Dic6—24no—
457Dic6—24no—
458Dic6—24no—
459Dic6—48no—
460Dic6—42no—
461Dic6—42no—
462Dic6—42no—
463C3×C8—42no—
464C3⋊C8—42no—
465C24—21no—
466C24—31no—
467C24—31no—
468C24—62no—
469C24—62no—
470C24—62no—
471C24—62no—
472C24—62no—
473C24—121no—
474C24—121no—
475C24D3×D411yescharacteristic
476#41—128no—
477#41—128no—
478C2×Q8—34no—
479C2×Q8—32no—
480C2×Q8—64no—
481C2×Q8—61no—
482C2×Q8—62no—
483C2×Q8—62no—
484C2×Q8—62no—
485C2×Q8—62no—
486C2×Q8—62no—
487C2×Q8—62no—
488C2×Q8—62no—
489C2×Q8—128no—
490C2×Q8—128no—
491C2×Q8—122no—
492C2×Q8—122no—
493C2×D4—24no—
494C2×D4—22no—
495C2×D4—21no—
496C2×D4—22no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4—64no—
500C2×D4—64no—
501C2×D4—122no—
502C2×D4—122no—
503C2×D4—122no—
504C2×D4—122no—
505C2×D4C2×D1212yes—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—22no—
511C22×C4—31no—
512C22×C4—34no—
513C22×C4—31no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—62no—
517C22×C4—62no—
518C22×C4—62no—
519C22×C4—61no—
520C22×C4—61no—
521C22×C4—62no—
522C22×C4—64no—
523C22×C4—64no—
524C22×C4—62no—
525C22×C4—61no—
526C22×C4—61no—
527C22×C4—62no—
528C22×C4—62no—
529C22×C4—62no—
530C22×C4—61no—
531C22×C4—61no—
532C22×C4—62no—
533C22×C4—62no—
534C22×C4—121no—
535C22×C4—121no—
536C22×C4—128no—
537C22×C4—128no—
538C22×C4—122no—
539C22×C4—121no—
540C22×C4—122no—
541C22×C4—122no—
542C22×C4—122no—
543C22×C4C2×D1212yes—
544C22×C4D3×D411yescharacteristic
545C22×C4D3×D412yes—
546C22×C4C23×D311yescharacteristic
547Q16—128no—
548SD16—128no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—62no—
553C2×C8—62no—
554C2×C8—62no—
555C4⋊C4—24no—
556C4⋊C4—22no—
557C4⋊C4—21no—
558C4⋊C4—32no—
559C4⋊C4—68no—
560C4⋊C4—68no—
561C4⋊C4—64no—
562C4⋊C4—64no—
563C4⋊C4—61no—
564C4⋊C4C2×D1212yes—
565C4⋊C4D3×D414yes—
566C22⋊C4—24no—
567C22⋊C4—68no—
568C22⋊C4—68no—
569C22⋊C4—64no—
570C22⋊C4—64no—
571C22⋊C4—64no—
572C22⋊C4—64no—
573C42—64no—
574C22×C3—22no—
575C22×C3—22no—
576C22×C3—22no—
577C22×C3—22no—
578C22×C3—22no—
579C22×C3—22no—
580C22×C3—42no—
581C22×C3—42no—
582C22×C3—42no—
583C22×C3—81no—
584C22×C3—81no—
585C22×C3—81no—
586C22×C3—81no—
587C22×C3#45214yescomplemented
588C22×C3C2×#12011yescharacteristic
589C22×C3C2×#12011yescharacteristic
590C22×C3#53411yescharacteristic
591C22×C3C2×#13511yescharacteristic
592C22×C3C2×#13711yescharacteristic
593C22×C3C2×#13711yescharacteristic
594C22×C3#57511yescharacteristic
595C2×D3—22no—
596C2×D3—22no—
597C2×D3—22no—
598C2×D3—22no—
599C2×D3—22no—
600C2×D3—22no—
601C2×D3—416no—
602C2×D3—41no—
603C2×D3—41no—
604C2×D3—41no—
605C2×D3—41no—
606C2×D3—41no—
607C2×D3—41no—
608C2×D3—41no—
609C2×D3—41no—
610C3×C4—22no—
611C3×C4—42no—
612C3×C4—44no—
613C3×C4D4212yes—
614C3×C4D4212yes—
615Dic3—22no—
616Dic3—44no—
617Dic3—42no—
618Dic3—41no—
619Dic3—42no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—22no—
625C23—32no—
626C23—32no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—41no—
631C23—41no—
632C23—41no—
633C23—68no—
634C23—61no—
635C23—61no—
636C23—61no—
637C23—61no—
638C23—61no—
639C23—61no—
640C23—61no—
641C23—61no—
642C23—61no—
643C23—61no—
644C23—61no—
645C23—61no—
646C23—124no—
647C23—124no—
648C23—124no—
649C23—124no—
650C23—124no—
651C23—124no—
652C23#88212yes—
653C23#91212yes—
654C23#91512yes—
655C23C2×D3×D411yescharacteristic
656Q8—64no—
657Q8—64no—
658Q8—64no—
659Q8—128no—
660Q8—122no—
661Q8—122no—
662Q8—122no—
663D4—24no—
664D4—48no—
665D4—42no—
666D4—128no—
667D4—128no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—22no—
673C2×C4—24no—
674C2×C4—32no—
675C2×C4—48no—
676C2×C4—42no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—42no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—64no—
683C2×C4—64no—
684C2×C4—61no—
685C2×C4—62no—
686C2×C4—61no—
687C2×C4—62no—
688C2×C4—64no—
689C2×C4—61no—
690C2×C4—124no—
691C2×C4—124no—
692C2×C4—124no—
693C2×C4—128no—
694C2×C4—128no—
695C2×C4—121no—
696C2×C4—122no—
697C2×C4—122no—
698C2×C4—121no—
699C2×C4—121no—
700C2×C4—121no—
701C2×C4—122no—
702C2×C4—122no—
703C2×C4#88212yes—
704C2×C4C22×D1211yescharacteristic
705C2×C4C2×D3×D412yes—
706C2×C4C2×D3×D411yescharacteristic
707C2×C4#100912yes—
708C8—42no—
709C8—122no—
710C2×C3—24no—
711C2×C3—82no—
712C2×C3#240311yescharacteristic
713C2×C3C2×#45211yescharacteristic
714C2×C3#300211yescharacteristic
715C2×C3#300411yescharacteristic
716C2×C3#300711yescharacteristic
717C2×C3#319011yescharacteristic
718C2×C3#319611yescharacteristic
719D3—42no—
720D3—42no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—42no—
728C22—42no—
729C22—42no—
730C22—62no—
731C22—62no—
732C22—62no—
733C22—62no—
734C22—62no—
735C22—62no—
736C22—81no—
737C22—81no—
738C22—81no—
739C22—81no—
740C22—1216no—
741C22—121no—
742C22—121no—
743C22—121no—
744C22—121no—
745C22—121no—
746C22—121no—
747C22—121no—
748C22—121no—
749C22#478314yescomplemented
750C22C2×#88211yescharacteristic
751C22D3×#12011yescharacteristic
752C22#565311yescharacteristic
753C22C2×#91211yescharacteristic
754C22C2×#91511yescharacteristic
755C22#577311yescharacteristic
756C22D3×#13711yescharacteristic
757C4—22no—
758C4—44no—
759C4—42no—
760C4—62no—
761C4—122no—
762C4—121no—
763C4—122no—
764C4—124no—
765C4D4×D1212yes—
766C4#560912yes—
767C3#2392211yescharacteristic, complemented, Sylow
768C2—24no—
769C2—82no—
770C2—122no—
771C2—122no—
772C2#7488411yescharacteristic
773C2C2×#478311yescharacteristic
774C2#7888511yescharacteristic
775C2#8000111yescharacteristic
776C2#8003911yescharacteristic
777C2#8130411yescharacteristic
778C2#8134411yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1874C2
socleC23×C3C22×D4
prime radicalC2×#5606C2
hypercenter#1874D3
hypocenterC3#23922
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1874

Complements

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

NH ≅ G/Ntype
2. C22×#897C2semidirect
3. C2×#5040C2semidirect
4. C2×#4783C2semidirect
5. C2×#4739C2semidirect
6. C3×#1874C2semidirect
7. #71559C2semidirect
8. #70205C2semidirect
9. #69955C2semidirect
10. #68888C2semidirect
11. #68879C2semidirect
21. C22×#214C22semidirect
25. C22×Dic12C22semidirect
37. C2×C3×#102C22semidirect
42. C2×#816C22semidirect
44. C2×#810C22semidirect
45. C2×#810C22semidirect
48. C3×#340C22semidirect
49. #4529C22semidirect
57. #1874D3semidirect
132. #897D4semidirect
175. C2×#102C2×D3semidirect
181. #340C2×D3semidirect
587. C22×C3#452semidirect
749. C22#4783semidirect
767. C3#23922semidirect

Maximal subgroups

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

subgroupindex
C2×#56062
C22×#8972
C2×#50402
C2×#47832
C2×#47392
C3×#18742
#715592
#702052
#699552
#688882
#688792
#239223