Finite Group Databasebeta

← #10826956

Subgroups — #10826956

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
1C22×#946C211yesmaximal, characteristic, complemented
2C2×#5606C211yesmaximal, characteristic
3C2×C3×#448C211yesmaximal, characteristic, complemented
4C2×#5228C211yesmaximal, characteristic, complemented
5C2×#5173C212yesmaximal, complemented
6#72054C212yesmaximal, complemented
7#71677C211yesmaximal, characteristic, complemented
8#70273C212yesmaximal, complemented
9#70269C212yesmaximal, complemented
10#69955C211yesmaximal, characteristic, complemented
11#69930C211yesmaximal, characteristic, complemented
12#23922—31nomaximal, Sylow
13C23×C3×Q8C2211yescharacteristic
14C22×#237C2211yescharacteristic
15C23×C4×D3C2211yescharacteristic
16C22×C3×SD16C2212yescomplemented
17C2×C3×#121C2211yescharacteristic
18C2×#946—21no—
19C2×#946—21no—
20C2×#946—28no—
21C2×#946C2212yes—
22C2×#946C2212yes—
23C22×#216C2212yescomplemented
24C2×#938C2211yescharacteristic
25C2×#937—21no—
26C2×D4×Dic3—21no—
27C22×(C2×D3)⋊C4—21no—
28C22×C4⋊Dic3C2211yescharacteristic
29C2×#924C2211yescharacteristic
30C22×Dic3⋊C4—21no—
31#5606—24no—
32#5606—24no—
33C2×#897C2211yescharacteristic
34C2×#892C2211yescharacteristic
35C2×#883—21no—
36C2×#67⋊C4—21no—
37C3×#448—24no—
38C2×C3×#103C2212yescomplemented
39C2×C3×C22⋊C8C2211yescharacteristic
40#5228—24no—
41C2×#835C2212yescomplemented
42C2×#832C2212yescomplemented
43C2×#830C2211yescharacteristic
44#5173—28no—
45C2×(C2×D3)⋊C8C2212yes—
46C2×(C2×D3)⋊C8C2212yes—
47C2×#816C2212yescomplemented
48#4551C2212yescomplemented
49#4529C2212yescomplemented
50C2×#525—31no—
51C22×C22⋊Q8—31no—
52C2×#452—32no—
53C2×#451—31no—
54C2×#448D311yescharacteristic, complemented
55#2001—32no—
56#2000—32no—
57#1874—31no—
58#1873—32no—
59#1872—31no—
60#1779—31no—
61C24×D3D411yescharacteristic
62C22×C3×Q8—24no—
63C22×C3×Q8—21no—
64C22×C3×Q8—22no—
65C22×C3×Q8—22no—
66C22×C3×Q8—42no—
67C22×C3×Q8C2312yes—
68C22×C3×D4—21no—
69C22×C3×D4C2311yescharacteristic
70C23×C3×C4—21no—
71C23×C3×C4C2311yescharacteristic
72C22×#67—21no—
73C22×#67—21no—
74C23×Dic3—21no—
75C23×Dic3—21no—
76C23×Dic3D411yescharacteristic
77C2×#237—22no—
78C2×#237—24no—
79C2×#237—22no—
80C2×#237—42no—
81C22×C4×D3—22no—
82C22×C4×D3—22no—
83C22×C4×D3—24no—
84C22×C4×D3—42no—
85C22×C4×D3D411yescharacteristic
86C22×C4×D3D411yescharacteristic
87C22×C4×D3C2311yescharacteristic
88C22×C4×D3C2311yescharacteristic
89C22×Dic6C2311yescharacteristic
90C2×C3×SD16—24no—
91C2×C3×SD16—24no—
92C2×C3×SD16—42no—
93C22×C3×C8C2312yes—
94C3×#121—22no—
95C3×#121D414yes—
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C22⋊C4—21no—
98C2×#217—21no—
99C2×#217—21no—
100#946—28no—
101#946—28no—
102#946—24no—
103#946—24no—
104#946—24no—
105#946D418yescomplemented
106C2×#216—24no—
107C2×#216—24no—
108C2×#216—42no—
109#938—22no—
110#938—22no—
111#937—28no—
112D4×Dic3—28no—
113C2×(C2×D3)⋊C4—28no—
114C2×(C2×D3)⋊C4—21no—
115C2×(C2×D3)⋊C4—21no—
116C2×(C2×D3)⋊C4—22no—
117C2×(C2×D3)⋊C4—22no—
118C2×C4⋊Dic3—21no—
119C2×C4⋊Dic3—21no—
120C2×C4⋊Dic3—24no—
121C2×C4⋊Dic3C2312yes—
122C2×C4⋊Dic3C2311yescharacteristic
123#924—22no—
124#924D414yes—
125C2×Dic3⋊C4—28no—
126C2×Dic3⋊C4—21no—
127C2×Dic3⋊C4—22no—
128C2×Dic3⋊C4—22no—
129C2×C4×Dic3—21no—
130C22×C3⋊C8C2312yes—
131#897—22no—
132#897—22no—
133#892—22no—
134#892—22no—
135#883—28no—
136#67⋊C4—28no—
137C3×#103—24no—
138C3×C22⋊C8—22no—
139#835—24no—
140#832—24no—
141#830—22no—
142(C2×D3)⋊C8—24no—
143(C2×D3)⋊C8—42no—
144#816—24no—
145C22×#41—31no—
146C23×Q8C2×D311yescharacteristic
147C24×C4—31no—
148C22×Q16—32no—
149C22×SD16C2×D312yescomplemented
150#525—64no—
151#525—64no—
152C2×#123—61no—
153C2×C22⋊Q8—32no—
154C2×C22⋊Q8—31no—
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—31no—
167C22×C4⋊C4—61no—
168C22×C22⋊C4—61no—
169#452—68no—
170#451—64no—
171#448—24no—
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#340—32no—
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×Q8—24no—
194C2×C3×Q8—22no—
195C2×C3×Q8—22no—
196C2×C3×Q8—22no—
197C2×C3×Q8—22no—
198C2×C3×Q8—22no—
199C2×C3×Q8—48no—
200C2×C3×Q8—48no—
201C2×C3×Q8—42no—
202C2×C3×Q8—42no—
203C2×C3×Q8C2×D414yes—
204C2×C3×D4—24no—
205C2×C3×D4—22no—
206C2×C3×D4—21no—
207C2×C3×D4—22no—
208C2×C3×D4—42no—
209C2×C3×D4—42no—
210C2×C3×D4C2×D412yes—
211C22×C3×C4—22no—
212C22×C3×C4—22no—
213C22×C3×C4—24no—
214C22×C3×C4—21no—
215C22×C3×C4—22no—
216C22×C3×C4—42no—
217C22×C3×C4—42no—
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2×D412yes—
220C22×C3×C4C2×D412yes—
221C22×C3×C4C2411yescharacteristic
222C2×#67—24no—
223C2×#67—24no—
224C2×#67—42no—
225C2×#67—42no—
226C2×#67—42no—
227C2×#67—42no—
228C22×Dic3—24no—
229C22×Dic3—24no—
230C22×Dic3—22no—
231C22×Dic3—21no—
232C22×Dic3—22no—
233C22×Dic3—21no—
234C22×Dic3—22no—
235C22×Dic3—41no—
236C22×Dic3—42no—
237C22×Dic3—42no—
238C22×Dic3—42no—
239C22×Dic3—42no—
240C22×Dic3C2×D411yescharacteristic
241C22×Dic3C2×D411yescharacteristic
242#237—48no—
243#237—48no—
244C2×C4×D3—21no—
245C2×C4×D3—21no—
246C2×C4×D3—22no—
247C2×C4×D3—22no—
248C2×C4×D3—22no—
249C2×C4×D3—22no—
250C2×C4×D3—21no—
251C2×C4×D3—21no—
252C2×C4×D3—22no—
253C2×C4×D3—22no—
254C2×C4×D3—22no—
255C2×C4×D3—48no—
256C2×C4×D3—48no—
257C2×C4×D3—41no—
258C2×C4×D3—41no—
259C2×C4×D3C2×D414yes—
260C2×Dic6—22no—
261C2×Dic6—22no—
262C2×Dic6—21no—
263C2×Dic6C2×D412yes—
264C3×SD16—48no—
265C2×C3×C8—22no—
266C2×C3×C8—22no—
267C2×C3×C8—22no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4C2×D412yes—
270C3×C22⋊C4—24no—
271#217—24no—
272#217—24no—
273#216—48no—
274(C2×D3)⋊C4—24no—
275(C2×D3)⋊C4—24no—
276(C2×D3)⋊C4—28no—
277(C2×D3)⋊C4—28no—
278C4⋊Dic3—24no—
279C4⋊Dic3—24no—
280C4⋊Dic3—21no—
281C4⋊Dic3—22no—
282C4⋊Dic3C2×D414yes—
283C4⋊Dic3C2×D412yes—
284Dic3⋊C4—28no—
285Dic3⋊C4—24no—
286Dic3⋊C4—28no—
287C4×Dic3—24no—
288C2×C3⋊C8—22no—
289C2×C3⋊C8—22no—
290C2×C3⋊C8—22no—
291C25—31no—
292C2×#41—64no—
293C2×#41—62no—
294C2×#41—62no—
295C2×#41—122no—
296C22×Q8—24no—
297C22×Q8—21no—
298C22×Q8—22no—
299C22×Q8—22no—
300C22×Q8—31no—
301C22×Q8—42no—
302C22×Q8C22×D312yes—
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—24no—
324C2×SD16—24no—
325C2×SD16—42no—
326C22×C8—32no—
327C22×C8C22×D312yes—
328#123—68no—
329C22⋊Q8—38no—
330C22⋊Q8—34no—
331C22⋊Q8—62no—
332C22⋊Q8—64no—
333C22⋊Q8—64no—
334C22⋊Q8—68no—
335C22⋊Q8—68no—
336C22⋊Q8—64no—
337C22⋊Q8—62no—
338C22⋊Q8—62no—
339#121—22no—
340#121—62no—
341#121—62no—
342#121#6714yes—
343#120—68no—
344C4×D4—68no—
345C4×D4—68no—
346#117—62no—
347#117—62no—
348C2×C4⋊C4—32no—
349C2×C4⋊C4—31no—
350C2×C4⋊C4—64no—
351C2×C4⋊C4—62no—
352C2×C4⋊C4—62no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4—68no—
355C2×C4⋊C4—61no—
356C2×C4⋊C4—61no—
357C2×C4⋊C4C22×D311yescharacteristic
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—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—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×Q8—24no—
412C3×Q8—24no—
413C3×Q8—48no—
414C3×Q8—42no—
415C3×Q8—42no—
416C3×D4—24no—
417C3×D4—48no—
418C3×D4—42no—
419C2×C3×C4—21no—
420C2×C3×C4—21no—
421C2×C3×C4—24no—
422C2×C3×C4—24no—
423C2×C3×C4—22no—
424C2×C3×C4—24no—
425C2×C3×C4—48no—
426C2×C3×C4—42no—
427C2×C3×C4—42no—
428C2×C3×C4—41no—
429C2×C3×C4—41no—
430C2×C3×C4#12012yes—
431C2×C3×C4C22×D411yescharacteristic
432C2×C3×C4C22×D412yes—
433C2×C3×C4C22×D411yescharacteristic
434C2×C3×C4H(5,𝔽2)12yes—
435#67—48no—
436#67—48no—
437C2×Dic3—21no—
438C2×Dic3—21no—
439C2×Dic3—22no—
440C2×Dic3—21no—
441C2×Dic3—24no—
442C2×Dic3—22no—
443C2×Dic3—21no—
444C2×Dic3—21no—
445C2×Dic3—44no—
446C2×Dic3—48no—
447C2×Dic3—48no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450C2×Dic3—42no—
451C2×Dic3—41no—
452C2×Dic3—42no—
453C2×Dic3—41no—
454C2×Dic3#12012yes—
455C4×D3—24no—
456C4×D3—24no—
457C4×D3—44no—
458C4×D3—44no—
459C4×D3—42no—
460C4×D3—42no—
461Dic6—24no—
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—24no—
479C2×Q8—22no—
480C2×Q8—22no—
481C2×Q8—22no—
482C2×Q8—22no—
483C2×Q8—22no—
484C2×Q8—32no—
485C2×Q8—48no—
486C2×Q8—48no—
487C2×Q8—42no—
488C2×Q8—42no—
489C2×Q8—61no—
490C2×Q8—62no—
491C2×Q8—62no—
492C2×Q8D3×D414yes—
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×#6712yes—
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—62no—
521C22×C4—61no—
522C22×C4—64no—
523C22×C4—64no—
524C22×C4—62no—
525C22×C4—61no—
526C22×C4—62no—
527C22×C4—61no—
528C22×C4—62no—
529C22×C4—62no—
530C22×C4—61no—
531C22×C4—62no—
532C22×C4—62no—
533C22×C4—61no—
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×C4D3×D411yescharacteristic
544C22×C4D3×D412yes—
545C22×C4C2×#6712yes—
546C22×C4C23×D311yescharacteristic
547Q16—128no—
548SD16—48no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—62no—
553C2×C8—62no—
554C2×C8—62no—
555C4⋊C4—21no—
556C4⋊C4—34no—
557C4⋊C4—32no—
558C4⋊C4—68no—
559C4⋊C4—68no—
560C4⋊C4—64no—
561C4⋊C4—64no—
562C4⋊C4—64no—
563C4⋊C4—62no—
564C4⋊C4—61no—
565C4⋊C4C2×#6712yes—
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—44no—
612C3×C4—42no—
613C3×C4D4212yes—
614C3×C4D4212yes—
615Dic3—22no—
616Dic3—42no—
617Dic3—41no—
618Dic3—44no—
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#91512yes—
653C23#91612yes—
654C23#93712yes—
655C23C2×D3×D411yescharacteristic
656Q8—24no—
657Q8—24no—
658Q8—48no—
659Q8—42no—
660Q8—42no—
661Q8—64no—
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—41no—
677C2×C4—41no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—64no—
683C2×C4—64no—
684C2×C4—62no—
685C2×C4—61no—
686C2×C4—62no—
687C2×C4—64no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—124no—
691C2×C4—124no—
692C2×C4—124no—
693C2×C4—128no—
694C2×C4—128no—
695C2×C4—122no—
696C2×C4—121no—
697C2×C4—122no—
698C2×C4—121no—
699C2×C4—121no—
700C2×C4—121no—
701C2×C4—122no—
702C2×C4—122no—
703C2×C4#93712yes—
704C2×C4C2×D3×D412yes—
705C2×C4C2×D3×D411yescharacteristic
706C2×C4#100412yes—
707C2×C4C22×#6711yescharacteristic
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#517314yescomplemented
750C22D3×#12011yescharacteristic
751C22#558911yescharacteristic
752C22C2×#91511yescharacteristic
753C22C2×#91611yescharacteristic
754C22D3×#13711yescharacteristic
755C22#577711yescharacteristic
756C22C2×#93711yescharacteristic
757C4—22no—
758C4—42no—
759C4—44no—
760C4—62no—
761C4—122no—
762C4—124no—
763C4—121no—
764C4—122no—
765C4#559012yes—
766C4D4×#6712yes—
767C3#2392211yescharacteristic, complemented, Sylow
768C2—24no—
769C2—82no—
770C2—122no—
771C2—122no—
772C2#8003811yescharacteristic
773C2#8003911yescharacteristic
774C2#8004411yescharacteristic
775C2#8004611yescharacteristic
776C2#8260411yescharacteristic
777C2C2×#517311yescharacteristic
778C2#8398111yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×#448C2
socleC23×C3C22×D4
prime radicalC2×#5606C2
hypercenterC2×#448D3
hypocenterC3#23922
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#448

Complements

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

NH ≅ G/Ntype
1. C22×#946C2semidirect
3. C2×C3×#448C2semidirect
4. C2×#5228C2semidirect
5. C2×#5173C2semidirect
6. #72054C2semidirect
7. #71677C2semidirect
8. #70273C2semidirect
9. #70269C2semidirect
10. #69955C2semidirect
11. #69930C2semidirect
16. C22×C3×SD16C22semidirect
23. C22×#216C22semidirect
38. C2×C3×#103C22semidirect
41. C2×#835C22semidirect
42. C2×#832C22semidirect
47. C2×#816C22semidirect
48. #4551C22semidirect
49. #4529C22semidirect
54. C2×#448D3semidirect
105. #946D4semidirect
149. C22×SD16C2×D3semidirect
174. C2×#103C2×D3semidirect
587. C22×C3#452semidirect
749. C22#5173semidirect
767. C3#23922semidirect

Maximal subgroups

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

subgroupindex
C22×#9462
C2×#56062
C2×C3×#4482
C2×#52282
C2×#51732
#720542
#716772
#702732
#702692
#699552
#699302
#239223