Finite Group Databasebeta

← #10826964

Subgroups — #10826964

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×#5627C211yesmaximal, characteristic
2C22×#897C211yesmaximal, characteristic, complemented
3C2×#5050C211yesmaximal, characteristic, complemented
4C2×#4808C212yesmaximal, complemented
5C2×#4738C211yesmaximal, characteristic, complemented
6C3×#1872C211yesmaximal, characteristic, complemented
7#71560C211yesmaximal, characteristic, complemented
8#70273C212yesmaximal, complemented
9#69955C211yesmaximal, characteristic, complemented
10#68887C212yesmaximal, complemented
11#68879C212yesmaximal, complemented
12#23922—31nomaximal, Sylow
13C22×#239C2211yescharacteristic
14C23×C4×D3C2211yescharacteristic
15C23×Dic6C2211yescharacteristic
16C2×C3×C22⋊Q8C2211yescharacteristic
17C22×C3×C4⋊C4C2211yescharacteristic
18C2×#946C2211yescharacteristic
19C22×#216C2212yescomplemented
20C2×#930C2211yescharacteristic
21C22×(C2×D3)⋊C4—21no—
22C22×C4⋊Dic3—21no—
23C22×#204C2212yescomplemented
24#5627—24no—
25#5627—24no—
26C2×#897—21no—
27C2×#897—21no—
28C2×#897—28no—
29C2×#897C2212yes—
30C2×#897C2212yes—
31C2×#895C2211yescharacteristic
32C2×#894—21no—
33C2×#893—21no—
34C2×#892C2211yescharacteristic
35C2×#882—21no—
36C2×#67⋊C4—21no—
37C2×C3×#103C2212yescomplemented
38C2×C3×C22⋊C8C2211yescharacteristic
39C2×#830C2211yescharacteristic
40C2×(C2×D3)⋊C8C2212yes—
41C2×(C2×D3)⋊C8C2212yes—
42C2×#816C2212yescomplemented
43#5050—24no—
44C2×#810C2212yescomplemented
45C2×#809C2212yescomplemented
46#4808—28no—
47#4738—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#1874—31no—
58#1873—32no—
59#1872D311yescharacteristic, complemented
60#1779—31no—
61C24×D3D411yescharacteristic
62C22×C3×Q8C2311yescharacteristic
63C23×C3×C4—21no—
64C23×C3×C4C2311yescharacteristic
65C22×#67—21no—
66C23×Dic3—21no—
67C23×Dic3D411yescharacteristic
68C2×#239—22no—
69C2×#239—22no—
70C2×#239—24no—
71C2×#239—42no—
72C22×D12—21no—
73C22×D12—21no—
74C22×D12C2311yescharacteristic
75C22×C4×D3—22no—
76C22×C4×D3—22no—
77C22×C4×D3—21no—
78C22×C4×D3—24no—
79C22×C4×D3—42no—
80C22×C4×D3D411yescharacteristic
81C22×C4×D3D411yescharacteristic
82C22×C4×D3C2311yescharacteristic
83C22×C4×D3C2311yescharacteristic
84C22×Dic6—21no—
85C22×Dic6—24no—
86C22×Dic6—22no—
87C22×Dic6—22no—
88C22×Dic6—42no—
89C22×Dic6C2312yes—
90C22×C3×C8C2312yes—
91C3×C22⋊Q8—22no—
92C3×C22⋊Q8D414yes—
93C2×C3×C4⋊C4—21no—
94C2×C3×C4⋊C4—21no—
95C2×C3×C4⋊C4—24no—
96C2×C3×C4⋊C4C2312yes—
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C22⋊C4—21no—
99#946—22no—
100#946—22no—
101C2×#216—24no—
102C2×#216—24no—
103C2×#216—42no—
104#930—22no—
105#930D414yes—
106C2×(C2×D3)⋊C4—28no—
107C2×(C2×D3)⋊C4—21no—
108C2×(C2×D3)⋊C4—21no—
109C2×(C2×D3)⋊C4—22no—
110C2×(C2×D3)⋊C4—22no—
111C2×(C2×D3)⋊C4—21no—
112C2×(C2×D3)⋊C4—21no—
113C2×C4⋊Dic3—28no—
114C2×C4⋊Dic3—22no—
115C2×C4⋊Dic3—22no—
116C2×C4⋊Dic3C2311yescharacteristic
117C2×Dic3⋊C4—21no—
118C2×C4×Dic3—21no—
119C22×C3⋊C8C2312yes—
120C2×#204—24no—
121C2×#204—24no—
122C2×#204—42no—
123#897—28no—
124#897—28no—
125#897—24no—
126#897—24no—
127#897—24no—
128#897D418yescomplemented
129#895—22no—
130#895—22no—
131#894—28no—
132#893—28no—
133#892—22no—
134#892—22no—
135#882—28no—
136#67⋊C4—28no—
137C3×#103—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#809—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—68no—
157C2×C22⋊Q8—61no—
158C2×C22⋊Q8—61no—
159C2×C22⋊Q8C2×D311yescharacteristic
160C2×#121—31no—
161C2×#121—31no—
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×#103C2×D312yescomplemented
175C2×#102—32no—
176C2×C22⋊C8—31no—
177C2×C22⋊C8—32no—
178C2×C22⋊C8—32no—
179C2×C22⋊C8C2×D311yescharacteristic
180#340—32no—
181#340C2×D312yescomplemented
182C24×C3C2×D411yescharacteristic
183C23×D3—22no—
184C23×D3—22no—
185C23×D3—22no—
186C23×D3—22no—
187C23×D3—22no—
188C23×D3—21no—
189C23×D3—41no—
190C23×D3—41no—
191C23×D3C2×D411yescharacteristic
192C23×D3C2×D411yescharacteristic
193C2×C3×Q8—21no—
194C2×C3×Q8—22no—
195C2×C3×Q8—22no—
196C2×C3×Q8C2×D412yes—
197C22×C3×C4—22no—
198C22×C3×C4—22no—
199C22×C3×C4—24no—
200C22×C3×C4—21no—
201C22×C3×C4—21no—
202C22×C3×C4—22no—
203C22×C3×C4—42no—
204C22×C3×C4—42no—
205C22×C3×C4C2×D412yes—
206C22×C3×C4C2×D411yescharacteristic
207C22×C3×C4C2×D412yes—
208C22×C3×C4C2411yescharacteristic
209C2×#67—24no—
210C2×#67—42no—
211C2×#67—42no—
212C22×Dic3—24no—
213C22×Dic3—22no—
214C22×Dic3—21no—
215C22×Dic3—22no—
216C22×Dic3—22no—
217C22×Dic3—41no—
218C22×Dic3—42no—
219C22×Dic3—42no—
220C22×Dic3C2×D411yescharacteristic
221C22×Dic3C2×D411yescharacteristic
222#239—48no—
223#239—48no—
224C2×D12—22no—
225C2×D12—22no—
226C2×D12—24no—
227C2×D12—24no—
228C2×D12—21no—
229C2×D12—42no—
230C2×D12—42no—
231C2×D12—42no—
232C2×D12—42no—
233C2×D12C2×D412yes—
234C2×C4×D3—21no—
235C2×C4×D3—21no—
236C2×C4×D3—22no—
237C2×C4×D3—24no—
238C2×C4×D3—22no—
239C2×C4×D3—22no—
240C2×C4×D3—22no—
241C2×C4×D3—21no—
242C2×C4×D3—21no—
243C2×C4×D3—22no—
244C2×C4×D3—22no—
245C2×C4×D3—22no—
246C2×C4×D3—48no—
247C2×C4×D3—48no—
248C2×C4×D3—41no—
249C2×C4×D3—41no—
250C2×C4×D3—42no—
251C2×C4×D3—42no—
252C2×C4×D3C2×D414yes—
253C2×Dic6—22no—
254C2×Dic6—22no—
255C2×Dic6—22no—
256C2×Dic6—22no—
257C2×Dic6—24no—
258C2×Dic6—22no—
259C2×Dic6—48no—
260C2×Dic6—48no—
261C2×Dic6—42no—
262C2×Dic6—42no—
263C2×Dic6C2×D414yes—
264C2×C3×C8—22no—
265C2×C3×C8—22no—
266C2×C3×C8—22no—
267C3×C4⋊C4—24no—
268C3×C4⋊C4—24no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—22no—
271C3×C4⋊C4C2×D412yes—
272C3×C4⋊C4C2×D414yes—
273C3×C22⋊C4—24no—
274#216—48no—
275(C2×D3)⋊C4—24no—
276(C2×D3)⋊C4—24no—
277(C2×D3)⋊C4—24no—
278(C2×D3)⋊C4—28no—
279(C2×D3)⋊C4—28no—
280(C2×D3)⋊C4—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—
290#204—48no—
291C25—31no—
292C2×#41—64no—
293C2×#41—62no—
294C2×#41—62no—
295C2×#41—122no—
296C22×Q8—32no—
297C22×Q8—64no—
298C22×Q8—61no—
299C22×Q8—62no—
300C22×Q8—62no—
301C22×Q8—122no—
302C22×Q8C22×D311yescharacteristic
303C22×D4—31no—
304C22×D4—61no—
305C22×D4—61no—
306C22×D4—61no—
307C23×C4—21no—
308C23×C4—31no—
309C23×C4—31no—
310C23×C4—31no—
311C23×C4—31no—
312C23×C4—31no—
313C23×C4—61no—
314C23×C4—64no—
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—22no—
330C22⋊Q8—38no—
331C22⋊Q8—64no—
332C22⋊Q8—64no—
333C22⋊Q8—68no—
334C22⋊Q8—68no—
335C22⋊Q8—62no—
336C22⋊Q8—62no—
337C22⋊Q8—64no—
338C22⋊Q8D1214yes—
339#121—34no—
340#121—62no—
341#121—62no—
342#121—62no—
343#120—68no—
344C4×D4—68no—
345C4×D4—68no—
346#117—62no—
347#117—62no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—24no—
351C2×C4⋊C4—31no—
352C2×C4⋊C4—62no—
353C2×C4⋊C4—62no—
354C2×C4⋊C4—61no—
355C2×C4⋊C4—68no—
356C2×C4⋊C4C22×D311yescharacteristic
357C2×C4⋊C4C22×D312yes—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—61no—
360C2×C22⋊C4—62no—
361C2×C22⋊C4—62no—
362C2×C22⋊C4—61no—
363C2×C22⋊C4—61no—
364C2×C22⋊C4—68no—
365C2×C22⋊C4—61no—
366C2×C42—61no—
367#103—24no—
368#103—64no—
369#103—64no—
370#102—64no—
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#12012yes—
380C23×C3#13512yes—
381C23×C3#13712yes—
382C23×C3C22×D411yescharacteristic
383C22×D3—28no—
384C22×D3—21no—
385C22×D3—21no—
386C22×D3—21no—
387C22×D3—21no—
388C22×D3—21no—
389C22×D3—21no—
390C22×D3—21no—
391C22×D3—21no—
392C22×D3—21no—
393C22×D3—21no—
394C22×D3—21no—
395C22×D3—21no—
396C22×D3—22no—
397C22×D3—44no—
398C22×D3—44no—
399C22×D3—44no—
400C22×D3—44no—
401C22×D3—44no—
402C22×D3—44no—
403C22×D3—41no—
404C22×D3—41no—
405C22×D3—41no—
406C22×D3—41no—
407C22×D3—41no—
408C22×D3—41no—
409C22×D3#12012yes—
410C22×D3#13712yes—
411C3×Q8—24no—
412C3×Q8—42no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—24no—
416C2×C3×C4—24no—
417C2×C3×C4—22no—
418C2×C3×C4—22no—
419C2×C3×C4—24no—
420C2×C3×C4—48no—
421C2×C3×C4—41no—
422C2×C3×C4—41no—
423C2×C3×C4—42no—
424C2×C3×C4—41no—
425C2×C3×C4—41no—
426C2×C3×C4—42no—
427C2×C3×C4#12012yes—
428C2×C3×C4C22×D411yescharacteristic
429C2×C3×C4C22×D412yes—
430C2×C3×C4C22×D411yescharacteristic
431C2×C3×C4H(5,𝔽2)12yes—
432#67—48no—
433C2×Dic3—21no—
434C2×Dic3—21no—
435C2×Dic3—22no—
436C2×Dic3—21no—
437C2×Dic3—21no—
438C2×Dic3—24no—
439C2×Dic3—21no—
440C2×Dic3—44no—
441C2×Dic3—48no—
442C2×Dic3—42no—
443C2×Dic3—42no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3#12012yes—
447D12—24no—
448D12—48no—
449D12—48no—
450D12—42no—
451C4×D3—24no—
452C4×D3—24no—
453C4×D3—44no—
454C4×D3—48no—
455C4×D3—44no—
456C4×D3—42no—
457C4×D3—42no—
458Dic6—24no—
459Dic6—24no—
460Dic6—48no—
461Dic6—42no—
462Dic6—42no—
463C3×C8—42no—
464C3⋊C8—42no—
465C24—31no—
466C24—31no—
467C24—62no—
468C24—62no—
469C24—62no—
470C24—62no—
471C24—62no—
472C24—61no—
473C24—121no—
474C24—121no—
475C24D3×D411yescharacteristic
476#41—128no—
477#41—128no—
478C2×Q8—21no—
479C2×Q8—22no—
480C2×Q8—22no—
481C2×Q8—34no—
482C2×Q8—64no—
483C2×Q8—62no—
484C2×Q8—62no—
485C2×Q8—62no—
486C2×Q8—62no—
487C2×Q8—62no—
488C2×Q8—128no—
489C2×Q8—128no—
490C2×Q8—122no—
491C2×Q8—122no—
492C2×Q8C2×D1212yes—
493C2×D4—32no—
494C2×D4—64no—
495C2×D4—64no—
496C2×D4—64no—
497C2×D4—61no—
498C2×D4—62no—
499C2×D4—62no—
500C2×D4—122no—
501C2×D4—122no—
502C2×D4—122no—
503C2×D4—122no—
504C2×D4—122no—
505C2×D4—122no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—22no—
512C22×C4—31no—
513C22×C4—34no—
514C22×C4—31no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—62no—
518C22×C4—62no—
519C22×C4—64no—
520C22×C4—62no—
521C22×C4—61no—
522C22×C4—61no—
523C22×C4—62no—
524C22×C4—64no—
525C22×C4—62no—
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—122no—
540C22×C4—121no—
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—24no—
557C4⋊C4—22no—
558C4⋊C4—21no—
559C4⋊C4—32no—
560C4⋊C4—68no—
561C4⋊C4—68no—
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#45214yescomplemented
581C22×C3C2×#12011yescharacteristic
582C22×C3C2×#12011yescharacteristic
583C22×C3#53411yescharacteristic
584C22×C3C2×#13511yescharacteristic
585C22×C3C2×#13711yescharacteristic
586C22×C3C2×#13711yescharacteristic
587C22×C3#57511yescharacteristic
588C2×D3—22no—
589C2×D3—22no—
590C2×D3—22no—
591C2×D3—22no—
592C2×D3—22no—
593C2×D3—22no—
594C2×D3—416no—
595C2×D3—41no—
596C2×D3—41no—
597C2×D3—41no—
598C2×D3—41no—
599C2×D3—41no—
600C2×D3—41no—
601C2×D3—41no—
602C2×D3—41no—
603C2×D3—42no—
604C2×D3—42no—
605C2×D3—42no—
606C2×D3—81no—
607C2×D3—81no—
608C2×D3—81no—
609C2×D3—81no—
610C3×C4—22no—
611C3×C4—42no—
612C3×C4—44no—
613C3×C4—42no—
614C3×C4D4212yes—
615C3×C4D4212yes—
616Dic3—22no—
617Dic3—44no—
618Dic3—41no—
619Dic3—42no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—32no—
625C23—32no—
626C23—68no—
627C23—61no—
628C23—61no—
629C23—61no—
630C23—61no—
631C23—61no—
632C23—61no—
633C23—61no—
634C23—61no—
635C23—61no—
636C23—61no—
637C23—61no—
638C23—61no—
639C23—62no—
640C23—124no—
641C23—124no—
642C23—124no—
643C23—124no—
644C23—124no—
645C23—124no—
646C23—121no—
647C23—121no—
648C23—121no—
649C23—121no—
650C23—121no—
651C23—121no—
652C23#88212yes—
653C23#91612yes—
654C23#91812yes—
655C23C2×D3×D411yescharacteristic
656Q8—24no—
657Q8—42no—
658Q8—64no—
659Q8—64no—
660Q8—128no—
661Q8—122no—
662Q8—122no—
663D4—64no—
664D4—128no—
665D4—128no—
666D4—128no—
667D4—122no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—24no—
675C2×C4—32no—
676C2×C4—48no—
677C2×C4—41no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—64no—
686C2×C4—64no—
687C2×C4—61no—
688C2×C4—62no—
689C2×C4—61no—
690C2×C4—64no—
691C2×C4—61no—
692C2×C4—124no—
693C2×C4—124no—
694C2×C4—128no—
695C2×C4—124no—
696C2×C4—128no—
697C2×C4—122no—
698C2×C4—122no—
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#240311yescharacteristic
712C2×C3C2×#45211yescharacteristic
713C2×C3#300211yescharacteristic
714C2×C3#300411yescharacteristic
715C2×C3#300711yescharacteristic
716C2×C3#319011yescharacteristic
717C2×C3#319611yescharacteristic
718D3—42no—
719D3—42no—
720D3—82no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—62no—
728C22—62no—
729C22—62no—
730C22—62no—
731C22—62no—
732C22—62no—
733C22—1216no—
734C22—121no—
735C22—121no—
736C22—121no—
737C22—121no—
738C22—121no—
739C22—121no—
740C22—121no—
741C22—121no—
742C22—122no—
743C22—122no—
744C22—122no—
745C22—241no—
746C22—241no—
747C22—241no—
748C22—241no—
749C22#480814yescomplemented
750C22C2×#88211yescharacteristic
751C22D3×#12011yescharacteristic
752C22#565311yescharacteristic
753C22C2×#91611yescharacteristic
754C22C2×#91811yescharacteristic
755C22#577311yescharacteristic
756C22D3×#13711yescharacteristic
757C4—22no—
758C4—44no—
759C4—42no—
760C4—42no—
761C4—62no—
762C4—121no—
763C4—124no—
764C4—122no—
765C4D4×D1212yes—
766C4#560912yes—
767C3#2392211yescharacteristic, complemented, Sylow
768C2—24no—
769C2—122no—
770C2—122no—
771C2—242no—
772C2#7488411yescharacteristic
773C2C2×#480811yescharacteristic
774C2#7888511yescharacteristic
775C2#8014511yescharacteristic
776C2#8018311yescharacteristic
777C2#8144811yescharacteristic
778C2#8148911yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1872C2
socleC23×C3C22×D4
prime radicalC2×#5627C2
hypercenter#1872D3
hypocenterC3#23922
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1872

Complements

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

NH ≅ G/Ntype
2. C22×#897C2semidirect
3. C2×#5050C2semidirect
4. C2×#4808C2semidirect
5. C2×#4738C2semidirect
6. C3×#1872C2semidirect
7. #71560C2semidirect
8. #70273C2semidirect
9. #69955C2semidirect
10. #68887C2semidirect
11. #68879C2semidirect
19. C22×#216C22semidirect
23. C22×#204C22semidirect
37. C2×C3×#103C22semidirect
42. C2×#816C22semidirect
44. C2×#810C22semidirect
45. C2×#809C22semidirect
48. C3×#340C22semidirect
49. #4529C22semidirect
59. #1872D3semidirect
128. #897D4semidirect
174. C2×#103C2×D3semidirect
181. #340C2×D3semidirect
580. C22×C3#452semidirect
749. C22#4808semidirect
767. C3#23922semidirect

Maximal subgroups

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

subgroupindex
C2×#56272
C22×#8972
C2×#50502
C2×#48082
C2×#47382
C3×#18722
#715602
#702732
#699552
#688872
#688792
#239223