Finite Group Databasebeta

← #10967916

Subgroups — #10967916

Order 768.

2866 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5804C211yesmaximal, characteristic
2C2×#5483C211yesmaximal, characteristic, complemented
3C3×#2308C211yesmaximal, characteristic, complemented
4C2×#5220C211yesmaximal, characteristic, complemented
5#82121C211yesmaximal, characteristic, complemented
6C2×#4958C211yesmaximal, characteristic, complemented
7C2×Dic3×C22⋊C4C211yesmaximal, characteristic, complemented
8#74869C214yesmaximal, complemented
9#74785C214yesmaximal, complemented
10#74740C214yesmaximal, complemented
11#74728C214yesmaximal, complemented
12#74076C214yesmaximal, complemented
13#73829C214yesmaximal, complemented
14#34993—31nomaximal, Sylow
15C23×C3×D4C2211yescharacteristic
16C23×#67C2211yescharacteristic
17C24×Dic3C2211yescharacteristic
18C22×C3×C22⋊C4C2211yescharacteristic
19C22×C3×C22⋊C4C2211yescharacteristic
20C2×#953C2212yes—
21C22×#217C2211yescharacteristic
22C22×#217C2211yescharacteristic
23C22×#217C2212yescomplemented
24#5804—28no—
25C2×#939C2214yes—
26C2×#937C2212yes—
27C2×#935C2212yes—
28C2×#929C2212yes—
29C22×(C2×D3)⋊C4C2212yescomplemented
30C2×#924C2214yescomplemented
31C22×C4×Dic3C2212yescomplemented
32C2×#885C2214yescomplemented
33#5483—28no—
34C2×#878C2214yescomplemented
35C2×#878C2214yescomplemented
36C3×#386C2214yes—
37C3×#386C2214yescomplemented
38C3×#381C2212yescomplemented
39C3×#379C2212yescomplemented
40#5220C2214yes—
41#5220C2212yescomplemented
42#5220C2212yescomplemented
43#5213C2214yescomplemented
44C2×C3⋊#95C2212yescomplemented
45C2×C3⋊#95C2212yescomplemented
46C2×C3⋊#95C2212yescomplemented
47#4961C2214yescomplemented
48#4959C2214yescomplemented
49#4958C2214yes—
50#4958C2214yes—
51#4958C2212yescomplemented
52#4958C2212yescomplemented
53#4957C2214yescomplemented
54#4955C2212yescomplemented
55#4952C2214yescomplemented
56#4951C2214yescomplemented
57#4947C2214yescomplemented
58#4944C2214yescomplemented
59#4943C2212yescomplemented
60Dic3×C22⋊C4C2214yescomplemented
61Dic3×C22⋊C4C2214yescomplemented
62#4675C2214yescomplemented
63#4673C2214yescomplemented
64#4670C2214yescomplemented
65#4669C2214yescomplemented
66#4660C2214yescomplemented
67#4658C2214yescomplemented
68#4650C2214yescomplemented
69#4646C2214yescomplemented
70C2×#543—31no—
71C2×#534—31no—
72#2850—34no—
73#2639—34no—
74#2488—34no—
75#2488—34no—
76#2472—34no—
77#2472—34no—
78#2308—31no—
79#2308D311yescharacteristic, complemented
80C2×#386—31no—
81C2×#386—31no—
82C2×C4×C22⋊C4—31no—
83C25×C3C2311yescharacteristic
84C25×C3C2311yescharacteristic
85C24×D3C2311yescharacteristic
86C22×C3×D4—24no—
87C22×C3×D4—24no—
88C22×C3×D4—24no—
89C22×C3×D4C2312yes—
90C22×C3×D4C2312yes—
91C23×C3×C4C2311yescharacteristic
92C23×C3×C4C2312yes—
93C23×C3×C4C2312yes—
94C22×#67—24no—
95C22×#67—24no—
96C22×#67—24no—
97C22×#67C2312yes—
98C22×#67C2312yes—
99C22×#67C2314yes—
100C23×Dic3—24no—
101C23×Dic3—44no—
102C23×Dic3C2311yescharacteristic
103C23×Dic3C2311yescharacteristic
104C23×Dic3C2312yes—
105C23×Dic3C2312yes—
106C23×Dic3C2311yescharacteristic
107C23×Dic3C2312yes—
108C23×Dic3C2312yes—
109C22×Dic6C2314yes—
110C2×C3×C22⋊C4—24no—
111C2×C3×C22⋊C4—24no—
112C2×C3×C22⋊C4C2312yes—
113C2×C3×C22⋊C4C2312yes—
114C2×C3×C22⋊C4C2312yes—
115C2×C3×C22⋊C4C2312yes—
116C2×C3×C22⋊C4C2314yes—
117C2×C3×C22⋊C4C2314yes—
118#953—28no—
119C2×#217—24no—
120C2×#217—44no—
121C2×#217D418yes—
122C2×#217C2312yes—
123C2×#217C2314yes—
124C2×#217C2314yes—
125C2×#217C2312yes—
126C2×#217C2314yes—
127C2×#217C2312yes—
128C2×#217C2312yes—
129#939—216no—
130#937—28no—
131#935—28no—
132#929—28no—
133C2×(C2×D3)⋊C4—44no—
134C2×(C2×D3)⋊C4C2314yes—
135C2×(C2×D3)⋊C4C2314yes—
136C2×(C2×D3)⋊C4C2314yes—
137C2×(C2×D3)⋊C4C2314yes—
138C2×(C2×D3)⋊C4C2314yes—
139C2×C4⋊Dic3C2314yes—
140#924—216no—
141C2×Dic3⋊C4C2314yes—
142C2×Dic3⋊C4C2314yes—
143C2×Dic3⋊C4C2314yes—
144C2×C4×Dic3—44no—
145C2×C4×Dic3C2314yes—
146C2×C4×Dic3C2314yes—
147#885—48no—
148#878—216no—
149#878—216no—
150C3×#95C2314yes—
151C3×#95C2314yes—
152C3⋊#95C2314yes—
153C3⋊#95C2314yes—
154C3⋊#95C2314yes—
155C3⋊#95C2314yes—
156C3⋊#95C2314yes—
157C3⋊#95C2314yes—
158C3⋊#95C2314yes—
159C3⋊#95C2314yes—
160C23×D4—31no—
161C23×D4C2×D311yescharacteristic
162C24×C4—31no—
163#543—68no—
164#534—68no—
165C2×#124—34no—
166C2×#123—32no—
167C2×#123—32no—
168C2×C22⋊Q8—34no—
169C2×C22⋊Q8—34no—
170C2×C22⋊Q8—34no—
171C2×#121—34no—
172C2×#120—32no—
173C2×#120—32no—
174C22×C22⋊C4—31no—
175C22×C22⋊C4—31no—
176C22×C22⋊C4—32no—
177C22×C22⋊C4—32no—
178C22×C22⋊C4C2×D311yescharacteristic
179C22×C22⋊C4C2×D311yescharacteristic
180C22×C42—32no—
181#400—34no—
182#400—34no—
183#397—34no—
184#397—34no—
185#394—34no—
186#394—34no—
187#393—34no—
188#393—34no—
189#391—34no—
190#390—34no—
191#388—34no—
192#388—34no—
193#388—34no—
194#388—34no—
195#386—32no—
196#386—32no—
197#386—34no—
198#386—34no—
199#386—34no—
200#386—32no—
201#386—32no—
202#386—34no—
203#386C2×D314yes—
204#386C2×D314yescomplemented
205#382—34no—
206#381—32no—
207#381C2×D312yescomplemented
208#379—32no—
209#379C2×D312yescomplemented
210C4×C22⋊C4—34no—
211C4×C22⋊C4—34no—
212C2×#95—32no—
213C2×#95—32no—
214C2×#95—32no—
215C24×C3—22no—
216C24×C3—22no—
217C24×C3—22no—
218C24×C3—42no—
219C24×C3—42no—
220C24×C3—42no—
221C24×C3—42no—
222C24×C3C2×D414yes—
223C24×C3#4114yes—
224C24×C3#4114yes—
225C24×C3C2412yes—
226C24×C3C2411yescharacteristic
227C24×C3C2411yescharacteristic
228C24×C3C2411yescharacteristic
229C23×D3—22no—
230C23×D3—22no—
231C23×D3—22no—
232C23×D3—42no—
233C23×D3—42no—
234C23×D3C2412yes—
235C2×C3×D4—24no—
236C2×C3×D4—24no—
237C2×C3×D4—24no—
238C2×C3×D4—24no—
239C2×C3×D4—24no—
240C2×C3×D4—24no—
241C2×C3×D4—416no—
242C22×C3×C4—22no—
243C22×C3×C4—24no—
244C22×C3×C4—22no—
245C22×C3×C4—22no—
246C22×C3×C4—24no—
247C22×C3×C4—42no—
248C22×C3×C4—42no—
249C22×C3×C4—42no—
250C22×C3×C4—42no—
251C22×C3×C4C2412yes—
252C22×C3×C4C2414yes—
253C22×C3×C4C2414yes—
254C2×#67—24no—
255C2×#67—24no—
256C2×#67—24no—
257C2×#67—24no—
258C2×#67—24no—
259C2×#67—24no—
260C2×#67—28no—
261C2×#67—44no—
262C2×#67—44no—
263C2×#67—416no—
264C22×Dic3—22no—
265C22×Dic3—24no—
266C22×Dic3—22no—
267C22×Dic3—24no—
268C22×Dic3—24no—
269C22×Dic3—22no—
270C22×Dic3—22no—
271C22×Dic3—22no—
272C22×Dic3—24no—
273C22×Dic3—24no—
274C22×Dic3—24no—
275C22×Dic3—42no—
276C22×Dic3—42no—
277C22×Dic3—42no—
278C22×Dic3—42no—
279C22×Dic3—42no—
280C22×Dic3—42no—
281C22×Dic3—42no—
282C22×Dic3—416no—
283C22×Dic3C2×D418yes—
284C22×Dic3C2412yes—
285C22×Dic3C2412yes—
286C22×Dic3C2414yes—
287C22×Dic3C2414yes—
288C22×Dic3C2412yes—
289C2×Dic6—28no—
290C2×Dic6—44no—
291C2×Dic6—44no—
292C3×C22⋊C4—24no—
293C3×C22⋊C4—24no—
294C3×C22⋊C4—24no—
295C3×C22⋊C4—24no—
296C3×C22⋊C4—44no—
297C3×C22⋊C4—44no—
298#217—24no—
299#217—24no—
300#217—28no—
301#217—28no—
302#217—44no—
303#217C2×D418yes—
304#217C2×D418yes—
305(C2×D3)⋊C4—28no—
306(C2×D3)⋊C4—28no—
307(C2×D3)⋊C4—44no—
308(C2×D3)⋊C4—44no—
309(C2×D3)⋊C4—44no—
310C4⋊Dic3—28no—
311Dic3⋊C4—28no—
312Dic3⋊C4—28no—
313Dic3⋊C4—28no—
314C4×Dic3—28no—
315C4×Dic3—44no—
316C25—31no—
317C25C22×D311yescharacteristic
318C25C22×D311yescharacteristic
319C22×Q8—34no—
320C22×D4—24no—
321C22×D4—24no—
322C22×D4—24no—
323C22×D4—32no—
324C22×D4—32no—
325C22×D4—34no—
326C22×D4—64no—
327C22×D4—64no—
328C22×D4—64no—
329C22×D4C22×D312yes—
330C22×D4C22×D312yes—
331C23×C4—32no—
332C23×C4—31no—
333C23×C4—31no—
334C23×C4—32no—
335C23×C4—32no—
336C23×C4—32no—
337C23×C4—31no—
338C23×C4—64no—
339C23×C4—124no—
340C23×C4C22×D311yescharacteristic
341C23×C4C22×D312yes—
342C23×C4C22×D312yes—
343#124—128no—
344#123—68no—
345#123—68no—
346C22⋊Q8—616no—
347C22⋊Q8—616no—
348C22⋊Q8—616no—
349#121—616no—
350#120—68no—
351#120—68no—
352C2×C4⋊C4—34no—
353C2×C4⋊C4—34no—
354C2×C4⋊C4—34no—
355C2×C4⋊C4—34no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—38no—
359C2×C22⋊C4—32no—
360C2×C22⋊C4—32no—
361C2×C22⋊C4—32no—
362C2×C22⋊C4—32no—
363C2×C22⋊C4—34no—
364C2×C22⋊C4—34no—
365C2×C22⋊C4—34no—
366C2×C22⋊C4—34no—
367C2×C22⋊C4—34no—
368C2×C22⋊C4—34no—
369C2×C22⋊C4—34no—
370C2×C22⋊C4—34no—
371C2×C22⋊C4—64no—
372C2×C22⋊C4—124no—
373C2×C22⋊C4—124no—
374C2×C22⋊C4C22×D312yes—
375C2×C22⋊C4C22×D312yes—
376C2×C22⋊C4C22×D312yes—
377C2×C22⋊C4C22×D312yes—
378C2×C22⋊C4C22×D314yes—
379C2×C22⋊C4C22×D314yes—
380C2×C42—34no—
381C2×C42—34no—
382C2×C42—124no—
383#95—34no—
384#95—34no—
385#95—34no—
386#95—34no—
387#95—34no—
388#95—34no—
389#95—34no—
390#95—34no—
391#95C22×D314yes—
392#95C22×D314yes—
393C23×C3—22no—
394C23×C3—22no—
395C23×C3—22no—
396C23×C3—22no—
397C23×C3—22no—
398C23×C3—22no—
399C23×C3—22no—
400C23×C3—22no—
401C23×C3—22no—
402C23×C3—24no—
403C23×C3—24no—
404C23×C3—44no—
405C23×C3—48no—
406C23×C3—44no—
407C23×C3—48no—
408C23×C3—48no—
409C23×C3—44no—
410C23×C3—82no—
411C23×C3—82no—
412C23×C3—84no—
413C23×C3#124116yescomplemented
414C23×C3C22×D412yes—
415C23×C3C22×D412yes—
416C23×C3C22×D412yes—
417C23×C3C2×#4112yes—
418C23×C3C2×#4112yes—
419C23×C3C2×#4112yes—
420C23×C3C2×#4112yes—
421C23×C3C2×#4112yes—
422C23×C3C2×#4112yes—
423C23×C3C2511yescharacteristic
424C22×D3—22no—
425C22×D3—22no—
426C22×D3—22no—
427C22×D3—24no—
428C22×D3—24no—
429C22×D3—48no—
430C22×D3—44no—
431C22×D3—82no—
432C22×D3—82no—
433C22×D3—84no—
434C3×D4—48no—
435C3×D4—48no—
436C2×C3×C4—24no—
437C2×C3×C4—22no—
438C2×C3×C4—24no—
439C2×C3×C4—22no—
440C2×C3×C4—22no—
441C2×C3×C4—24no—
442C2×C3×C4—24no—
443C2×C3×C4—24no—
444C2×C3×C4—24no—
445C2×C3×C4—48no—
446C2×C3×C4—44no—
447C2×C3×C4—84no—
448#67—48no—
449#67—48no—
450#67—88no—
451C2×Dic3—28no—
452C2×Dic3—22no—
453C2×Dic3—24no—
454C2×Dic3—22no—
455C2×Dic3—24no—
456C2×Dic3—24no—
457C2×Dic3—22no—
458C2×Dic3—22no—
459C2×Dic3—22no—
460C2×Dic3—22no—
461C2×Dic3—22no—
462C2×Dic3—24no—
463C2×Dic3—22no—
464C2×Dic3—24no—
465C2×Dic3—48no—
466C2×Dic3—48no—
467C2×Dic3—48no—
468C2×Dic3—44no—
469C2×Dic3—44no—
470C2×Dic3—84no—
471C2×Dic3C22×D418yes—
472C2×Dic3H(5,𝔽2)14yes—
473Dic6—88no—
474C24—22no—
475C24—22no—
476C24—22no—
477C24—32no—
478C24—42no—
479C24—42no—
480C24—42no—
481C24—42no—
482C24—62no—
483C24—62no—
484C24—62no—
485C24—122no—
486C24—122no—
487C24#23514yes—
488C24D3×D414yes—
489C24#23714yes—
490C24C23×D312yes—
491C24C23×D311yescharacteristic
492C24C23×D311yescharacteristic
493C24C23×D311yescharacteristic
494C2×Q8—68no—
495C2×Q8—124no—
496C2×Q8—124no—
497C2×D4—24no—
498C2×D4—24no—
499C2×D4—24no—
500C2×D4—24no—
501C2×D4—24no—
502C2×D4—24no—
503C2×D4—416no—
504C2×D4—68no—
505C2×D4—64no—
506C2×D4—64no—
507C2×D4—64no—
508C2×D4—64no—
509C2×D4—64no—
510C2×D4—64no—
511C2×D4—124no—
512C2×D4—124no—
513C2×D4—1216no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—24no—
517C22×C4—22no—
518C22×C4—24no—
519C22×C4—32no—
520C22×C4—34no—
521C22×C4—38no—
522C22×C4—32no—
523C22×C4—32no—
524C22×C4—34no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—64no—
530C22×C4—64no—
531C22×C4—64no—
532C22×C4—62no—
533C22×C4—64no—
534C22×C4—64no—
535C22×C4—62no—
536C22×C4—62no—
537C22×C4—62no—
538C22×C4—62no—
539C22×C4—64no—
540C22×C4—122no—
541C22×C4—122no—
542C22×C4—122no—
543C22×C4—122no—
544C22×C4—122no—
545C22×C4—122no—
546C22×C4—122no—
547C22×C4—1216no—
548C22×C4C23×D312yes—
549C22×C4C23×D314yes—
550C22×C4C23×D314yes—
551C4⋊C4—68no—
552C4⋊C4—68no—
553C4⋊C4—68no—
554C4⋊C4—68no—
555C22⋊C4—24no—
556C22⋊C4—24no—
557C22⋊C4—24no—
558C22⋊C4—24no—
559C22⋊C4—38no—
560C22⋊C4—38no—
561C22⋊C4—44no—
562C22⋊C4—44no—
563C22⋊C4—68no—
564C22⋊C4—68no—
565C22⋊C4—68no—
566C22⋊C4—68no—
567C22⋊C4—64no—
568C22⋊C4—64no—
569C22⋊C4—124no—
570C22⋊C4—124no—
571C22⋊C4—124no—
572C22⋊C4—124no—
573C42—68no—
574C42—124no—
575C22×C3—24no—
576C22×C3—24no—
577C22×C3—24no—
578C22×C3—22no—
579C22×C3—22no—
580C22×C3—22no—
581C22×C3—22no—
582C22×C3—22no—
583C22×C3—22no—
584C22×C3—24no—
585C22×C3—24no—
586C22×C3—24no—
587C22×C3—416no—
588C22×C3—42no—
589C22×C3—44no—
590C22×C3—42no—
591C22×C3—42no—
592C22×C3—44no—
593C22×C3—88no—
594C22×C3C2×#12414yes—
595C22×C3C2×#12414yes—
596C22×C3C2×#12414yes—
597C22×C3C23×D411yescharacteristic
598C22×C3C22×#4111yescharacteristic
599C22×C3C22×#4111yescharacteristic
600C22×C3C2×H(5,𝔽2)12yes—
601C22×C3#58512yes—
602C2×D3—42no—
603C2×D3—44no—
604C2×D3—42no—
605C2×D3—42no—
606C2×D3—44no—
607C2×D3—88no—
608C3×C4—42no—
609C3×C4—44no—
610C3×C4—44no—
611Dic3—24no—
612Dic3—28no—
613Dic3—42no—
614Dic3—42no—
615Dic3—44no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—24no—
626C23—24no—
627C23—44no—
628C23—44no—
629C23—48no—
630C23—48no—
631C23—48no—
632C23—44no—
633C23—62no—
634C23—62no—
635C23—62no—
636C23—64no—
637C23—64no—
638C23—84no—
639C23—82no—
640C23—82no—
641C23—128no—
642C23—124no—
643C23—244no—
644C23—242no—
645C23—242no—
646C23#885116yescomplemented
647C23C2×#23512yes—
648C23C2×#23512yes—
649C23C2×#23512yes—
650C23C2×D3×D412yes—
651C23C2×D3×D412yes—
652C23C2×D3×D412yes—
653C23C2×#23712yes—
654C23C2×#23712yes—
655C23C2×#23712yes—
656C23C24×D311yescharacteristic
657Q8—248no—
658D4—48no—
659D4—48no—
660D4—128no—
661D4—128no—
662D4—248no—
663C2×C4—22no—
664C2×C4—24no—
665C2×C4—22no—
666C2×C4—24no—
667C2×C4—22no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—38no—
673C2×C4—34no—
674C2×C4—48no—
675C2×C4—44no—
676C2×C4—68no—
677C2×C4—62no—
678C2×C4—64no—
679C2×C4—62no—
680C2×C4—64no—
681C2×C4—62no—
682C2×C4—62no—
683C2×C4—64no—
684C2×C4—62no—
685C2×C4—62no—
686C2×C4—64no—
687C2×C4—62no—
688C2×C4—62no—
689C2×C4—64no—
690C2×C4—84no—
691C2×C4—128no—
692C2×C4—128no—
693C2×C4—128no—
694C2×C4—124no—
695C2×C4—124no—
696C2×C4—244no—
697C2×C3—24no—
698C2×C3—24no—
699C2×C3—24no—
700C2×C3—82no—
701C2×C3C22×#12411yescharacteristic
702C2×C3#345912yes—
703C2×C3#349011yescharacteristic
704C2×C3#349111yescharacteristic
705C2×C3#349612yes—
706D3—82no—
707C22—24no—
708C22—24no—
709C22—24no—
710C22—24no—
711C22—24no—
712C22—24no—
713C22—22no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—416no—
720C22—44no—
721C22—44no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—88no—
726C22—124no—
727C22—124no—
728C22—122no—
729C22—122no—
730C22—122no—
731C22—248no—
732C22C2×#88514yes—
733C22C2×#88514yes—
734C22C2×#88514yes—
735C22C22×#23511yescharacteristic
736C22C22×D3×D411yescharacteristic
737C22C22×#23711yescharacteristic
738C22D3×H(5,𝔽2)12yes—
739C22#596612yes—
740C4—44no—
741C4—44no—
742C4—42no—
743C4—68no—
744C4—64no—
745C4—124no—
746C4—122no—
747C4—122no—
748C3#3499311yescharacteristic, complemented, Sylow
749C2—24no—
750C2—24no—
751C2—24no—
752C2—82no—
753C2—242no—
754C2C22×#88511yescharacteristic
755C2#8585911yescharacteristic
756C2#8586811yescharacteristic
757C2#8629512yes—
758C2#8629812yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2308C2
prime radicalC2×#5804C2
hypercenter#2308D3
hypocenterC3#34993
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2308

Complements

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

NH ≅ G/Ntype
2. C2×#5483C2semidirect
3. C3×#2308C2semidirect
4. C2×#5220C2semidirect
5. #82121C2semidirect
6. C2×#4958C2semidirect
7. C2×Dic3×C22⋊C4C2semidirect
8. #74869C2semidirect
9. #74785C2semidirect
10. #74740C2semidirect
11. #74728C2semidirect
12. #74076C2semidirect
13. #73829C2semidirect
23. C22×#217C22semidirect
29. C22×(C2×D3)⋊C4C22semidirect
30. C2×#924C22semidirect
31. C22×C4×Dic3C22semidirect
32. C2×#885C22semidirect
34. C2×#878C22semidirect
35. C2×#878C22semidirect
37. C3×#386C22semidirect
38. C3×#381C22semidirect
39. C3×#379C22semidirect
41. #5220C22semidirect
42. #5220C22semidirect
43. #5213C22semidirect
44. C2×C3⋊#95C22semidirect
45. C2×C3⋊#95C22semidirect
46. C2×C3⋊#95C22semidirect
47. #4961C22semidirect
48. #4959C22semidirect
51. #4958C22semidirect
52. #4958C22semidirect
53. #4957C22semidirect
54. #4955C22semidirect
55. #4952C22semidirect
56. #4951C22semidirect
57. #4947C22semidirect
58. #4944C22semidirect
59. #4943C22semidirect
60. Dic3×C22⋊C4C22semidirect
61. Dic3×C22⋊C4C22semidirect
62. #4675C22semidirect
63. #4673C22semidirect
64. #4670C22semidirect
65. #4669C22semidirect
66. #4660C22semidirect
67. #4658C22semidirect
68. #4650C22semidirect
69. #4646C22semidirect
79. #2308D3semidirect
204. #386C2×D3semidirect
207. #381C2×D3semidirect
209. #379C2×D3semidirect
413. C23×C3#124semidirect
646. C23#885semidirect
748. C3#34993semidirect

Maximal subgroups

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

subgroupindex
C2×#58042
C2×#54832
C3×#23082
C2×#52202
#821212
C2×#49582
C2×Dic3×C22⋊C42
#748692
#747852
#747402
#747282
#740762
#738292
#349933