Finite Group Databasebeta

← #11001037

Subgroups — #11001037

Order 768.

7538 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C24×C4×D3C211yesmaximal, characteristic, complemented
2C2×#5547C213yesmaximal, complemented
3C3×C4×#120C211yesmaximal, characteristic, complemented
4C4×#953C211yesmaximal, characteristic, complemented
5#82612C211yesmaximal, characteristic, complemented
6#82601C211yesmaximal, characteristic, complemented
7C4×#937C213yesmaximal, complemented
8#74936C213yesmaximal, complemented
9#74935C213yesmaximal, complemented
10#74656C213yesmaximal, complemented
11#74655C213yesmaximal, complemented
12#73861C211yesmaximal, characteristic, complemented
13#73846C211yesmaximal, characteristic, complemented
14C4×#882C213yesmaximal, complemented
15#73561C213yesmaximal, complemented
16#36614—31nomaximal, Sylow
17C25×D3C2211yescharacteristic
18C24×C3×C4C2211yescharacteristic
19C24×Dic3C2211yescharacteristic
20C22×#235C2211yescharacteristic, complemented
21C23×C4×D3—224no—
22C23×C4×D3C2213yes—
23C23×C4×D3C2213yes—
24C23×C4×D3C2213yes—
25C23×C4×D3C2213yes—
26C2×C3×#120C2211yescharacteristic
27C2×C3×C4×D4C2213yescomplemented
28C2×#953C2211yescharacteristic
29C2×#939C2213yescomplemented
30C2×#937C2213yes—
31C2×#937C2213yes—
32C2×C4×#67C2213yescomplemented
33C2×C4×#67C2213yescomplemented
34#5547—224no—
35C2×#896C2213yescomplemented
36C2×#894C2213yescomplemented
37C2×#884C2213yescomplemented
38C2×#883C2213yescomplemented
39C2×#882C2213yes—
40C2×#882C2213yes—
41C2×#878C2213yescomplemented
42C2×C4×D12C2213yescomplemented
43C2×#872C2213yescomplemented
44C3×#386C2213yescomplemented
45C3×#385C2213yescomplemented
46C3×#379C2211yescharacteristic
47C3×C4×C22⋊C4C2213yescomplemented
48#5247C2211yescharacteristic
49#5220C2213yescomplemented
50#5213C2213yescomplemented
51#5210C2213yescomplemented
52C4×#217C2213yescomplemented
53#4989C2216yescomplemented
54#4958C2213yescomplemented
55#4956C2216yescomplemented
56#4955C2213yes—
57#4955C2213yes—
58#4955C2213yes—
59#4955C2213yes—
60#4950C2213yescomplemented
61#4946C2213yescomplemented
62#4942C2213yescomplemented
63#4942C2213yescomplemented
64C4×(C2×D3)⋊C4C2216yescomplemented
65#4668C2216yescomplemented
66#4667C2216yescomplemented
67#4665C2216yescomplemented
68#4664C2216yescomplemented
69C25×C4—31no—
70C2×#525—33no—
71#2849—33no—
72#2849—33no—
73#2848—33no—
74#2848—31no—
75#2847—33no—
76#2847—31no—
77#2846—31no—
78#2846—31no—
79C4×#120—33no—
80C4×#120—31no—
81C4×#120—33no—
82C4×#120D311yescharacteristic, complemented
83#2280—33no—
84C25×C3C2311yescharacteristic
85C24×D3—24no—
86C24×D3—212no—
87C24×D3—212no—
88C24×D3C2313yes—
89C24×D3C2313yes—
90C22×C3×D4C2313yes—
91C23×C3×C4—212no—
92C23×C3×C4C2313yes—
93C23×C3×C4C2313yes—
94C23×C3×C4C2311yescharacteristic, complemented
95C22×#67C2311yescharacteristic
96C22×#67C2313yes—
97C22×#67C2313yes—
98C22×#67C2311yescharacteristic, complemented
99C23×Dic3—212no—
100C23×Dic3C2313yes—
101C23×Dic3C2313yes—
102C2×#235—212no—
103C22×D12C2313yes—
104C22×D12C2311yescharacteristic
105C22×C4×D3—2128no—
106C22×C4×D3—212no—
107C22×C4×D3—212no—
108C22×C4×D3—212no—
109C22×C4×D3—224no—
110C22×C4×D3—224no—
111C22×C4×D3—224no—
112C22×C4×D3—224no—
113C22×C4×D3D4124yescomplemented
114C22×C4×D3C2316yes—
115C22×C4×D3C2313yes—
116C22×C4×D3C2313yes—
117C22×C4×D3C2313yes—
118C22×C4×D3C2311yescharacteristic
119C22×C4×D3C2311yescharacteristic, complemented
120C22×Dic6C2311yescharacteristic, complemented
121C3×#120—24no—
122C3×C4×D4—212no—
123C2×C3×C4⋊C4C2313yescomplemented
124C2×C3×C22⋊C4C2313yes—
125C2×C3×C22⋊C4C2313yes—
126C2×C3×C22⋊C4C2313yes—
127C2×C3×C22⋊C4C2313yescomplemented
128C2×C3×C42C2313yescomplemented
129#953—24no—
130C2×#217C2313yes—
131C2×#217C2313yes—
132C2×#217C2313yes—
133C2×#217C2313yescomplemented
134#939—212no—
135#937—212no—
136#937—212no—
137C4×#67—212no—
138C4×#67—212no—
139C2×(C2×D3)⋊C4C2313yes—
140C2×(C2×D3)⋊C4C2313yes—
141C2×(C2×D3)⋊C4C2316yes—
142C2×(C2×D3)⋊C4C2316yes—
143C2×(C2×D3)⋊C4C2313yes—
144C2×(C2×D3)⋊C4C2313yes—
145C2×(C2×D3)⋊C4C2313yescomplemented
146C2×(C2×D3)⋊C4C2313yescomplemented
147C2×C4⋊Dic3C2313yescomplemented
148C2×Dic3⋊C4C2313yescomplemented
149C2×Dic3⋊C4C2313yescomplemented
150C2×Dic3⋊C4C2313yescomplemented
151C2×Dic3⋊C4C2313yescomplemented
152C2×C4×Dic3C2313yescomplemented
153#896—212no—
154#894—212no—
155#884—212no—
156#883—212no—
157#882—212no—
158#882—212no—
159#878—212no—
160C4×D12—212no—
161#872—212no—
162C3×#95C2316yescomplemented
163C3⋊#95C2316yescomplemented
164C3⋊#95C2316yescomplemented
165C3⋊#95C2316yescomplemented
166C26—31no—
167C22×#41—31no—
168C24×C4—33no—
169C24×C4—31no—
170C24×C4—33no—
171C24×C4—33no—
172C24×C4—33no—
173C24×C4—624no—
174C24×C4C2×D311yescharacteristic
175#525—624no—
176C2×#123—33no—
177C2×#123—33no—
178C2×C22⋊Q8—33no—
179C2×C22⋊Q8—33no—
180C2×#121—33no—
181C2×#121—33no—
182C2×#120—31no—
183C2×#120—33no—
184C2×#120—33no—
185C2×#120—33no—
186C2×#120—33no—
187C2×#120C2×D311yescharacteristic
188C2×C4×D4—33no—
189C2×C4×D4—33no—
190C2×C4×D4—33no—
191C2×C4×D4C2×D313yescomplemented
192C2×#117—33no—
193#386—33no—
194#386—33no—
195#386—33no—
196#386—36no—
197#386—36no—
198#386C2×D313yescomplemented
199#385—33no—
200#385—36no—
201#385—33no—
202#385—33no—
203#385—36no—
204#385C2×D313yescomplemented
205#381—36no—
206#380—33no—
207#380—33no—
208#380—36no—
209#379—31no—
210#379—33no—
211#379—33no—
212#379—33no—
213#379—33no—
214#379C2×D311yescharacteristic
215C4×C22⋊C4—33no—
216C4×C22⋊C4—36no—
217C4×C22⋊C4C2×D313yescomplemented
218C24×C3—26no—
219C24×C3—26no—
220C24×C3#4114yescomplemented
221C24×C3C2411yescharacteristic
222C24×C3C2413yes—
223C23×D3—232no—
224C23×D3—296no—
225C23×D3—296no—
226C23×D3—26no—
227C23×D3—26no—
228C23×D3—26no—
229C23×D3—26no—
230C23×D3—212no—
231C23×D3—212no—
232C23×D3—212no—
233C23×D3—212no—
234C23×D3C2×D4112yes—
235C23×D3#41112yescomplemented
236C23×D3C2411yescharacteristic
237C23×D3C2411yescharacteristic
238C23×D3C2413yes—
239C2×C3×D4—26no—
240C2×C3×D4—26no—
241C2×C3×D4—26no—
242C22×C3×C4—232no—
243C22×C3×C4—26no—
244C22×C3×C4—212no—
245C22×C3×C4—212no—
246C22×C3×C4—26no—
247C22×C3×C4C2×D4112yes—
248C22×C3×C4C2413yes—
249C22×C3×C4C2413yes—
250C22×C3×C4C2411yescharacteristic
251C22×C3×C4C2413yes—
252C22×C3×C4C2411yescharacteristic
253C2×#67—26no—
254C2×#67—26no—
255C2×#67—26no—
256C2×#67—26no—
257C2×#67—26no—
258C2×#67—212no—
259C2×#67—26no—
260C22×Dic3—232no—
261C22×Dic3—26no—
262C22×Dic3—212no—
263C22×Dic3—212no—
264C22×Dic3C2×D4112yes—
265C22×Dic3C2413yes—
266C22×Dic3C2413yes—
267C22×Dic3C2411yescharacteristic
268C22×Dic3C2413yes—
269C22×Dic3C2411yescharacteristic
270#235—416no—
271C2×D12—26no—
272C2×D12—26no—
273C2×D12—212no—
274C2×C4×D3—296no—
275C2×C4×D3—296no—
276C2×C4×D3—296no—
277C2×C4×D3—212no—
278C2×C4×D3—212no—
279C2×C4×D3—212no—
280C2×C4×D3—212no—
281C2×C4×D3—212no—
282C2×C4×D3—212no—
283C2×C4×D3—296no—
284C2×C4×D3—26no—
285C2×C4×D3C2×D4112yes—
286C2×C4×D3C2×D4112yes—
287C2×C4×D3C2×D4112yes—
288C2×C4×D3C2×D4112yes—
289C2×Dic6—26no—
290C3×C4⋊C4—26no—
291C3×C22⋊C4—26no—
292C3×C22⋊C4—26no—
293C3×C22⋊C4—26no—
294C3×C22⋊C4—26no—
295C3×C42—26no—
296#217—26no—
297#217—26no—
298#217—26no—
299#217—26no—
300(C2×D3)⋊C4—26no—
301(C2×D3)⋊C4—26no—
302(C2×D3)⋊C4—26no—
303(C2×D3)⋊C4—26no—
304(C2×D3)⋊C4—212no—
305(C2×D3)⋊C4—212no—
306(C2×D3)⋊C4—26no—
307(C2×D3)⋊C4—26no—
308C4⋊Dic3—26no—
309Dic3⋊C4—26no—
310Dic3⋊C4—26no—
311Dic3⋊C4—26no—
312Dic3⋊C4—26no—
313C4×Dic3—26no—
314C25—33no—
315C25—33no—
316C25—612no—
317C25—612no—
318C25—64no—
319C25C22×D311yescharacteristic
320C2×#41—612no—
321C22×Q8—31no—
322C22×D4—33no—
323C22×D4—33no—
324C22×D4—31no—
325C22×D4—31no—
326C22×D4—33no—
327C22×D4—31no—
328C22×D4C22×D313yes—
329C23×C4—212no—
330C23×C4—31no—
331C23×C4—33no—
332C23×C4—324no—
333C23×C4—33no—
334C23×C4—33no—
335C23×C4—33no—
336C23×C4—33no—
337C23×C4—36no—
338C23×C4—31no—
339C23×C4—612no—
340C23×C4—624no—
341C23×C4—624no—
342C23×C4—624no—
343C23×C4—624no—
344C23×C4—612no—
345C23×C4—6128no—
346C23×C4—612no—
347C23×C4—612no—
348C23×C4C22×D313yes—
349C23×C4C22×D313yes—
350C23×C4C22×D311yescharacteristic, complemented
351#123—612no—
352#123—612no—
353C22⋊Q8—612no—
354C22⋊Q8—612no—
355#121—612no—
356#121—612no—
357#120—24no—
358#120—612no—
359#120—612no—
360#120—612no—
361#120—612no—
362#120—64no—
363C4×D4—212no—
364C4×D4—612no—
365C4×D4—612no—
366C4×D4—612no—
367#117—612no—
368C2×C4⋊C4—33no—
369C2×C4⋊C4—33no—
370C2×C4⋊C4—33no—
371C2×C4⋊C4—33no—
372C2×C4⋊C4—33no—
373C2×C4⋊C4C22×D313yescomplemented
374C2×C22⋊C4—33no—
375C2×C22⋊C4—33no—
376C2×C22⋊C4—33no—
377C2×C22⋊C4—33no—
378C2×C22⋊C4—33no—
379C2×C22⋊C4—33no—
380C2×C22⋊C4—33no—
381C2×C22⋊C4—33no—
382C2×C22⋊C4—33no—
383C2×C22⋊C4—33no—
384C2×C22⋊C4—36no—
385C2×C22⋊C4—36no—
386C2×C22⋊C4C22×D313yes—
387C2×C22⋊C4C22×D313yes—
388C2×C22⋊C4C22×D313yes—
389C2×C22⋊C4C22×D313yescomplemented
390C2×C42—33no—
391C2×C42C22×D313yescomplemented
392#95—36no—
393#95—36no—
394#95—36no—
395#95C22×D316yescomplemented
396C23×C3—28no—
397C23×C3—224no—
398C23×C3—224no—
399C23×C3—26no—
400C23×C3—26no—
401C23×C3—23no—
402C23×C3—23no—
403C23×C3—21no—
404C23×C3C22×D416yes—
405C23×C3C2×#4116yes—
406C23×C3C2×#4116yes—
407C23×C3C2511yescharacteristic
408C22×D3—224no—
409C22×D3—2256no—
410C22×D3—248no—
411C22×D3—248no—
412C22×D3—248no—
413C22×D3—224no—
414C22×D3—224no—
415C22×D3—224no—
416C22×D3—26no—
417C22×D3—21no—
418C22×D3—23no—
419C22×D3—23no—
420C22×D3—23no—
421C22×D3—224no—
422C22×D3—224no—
423C22×D3—248no—
424C22×D3—23no—
425C22×D3—23no—
426C22×D3—21no—
427C22×D3C22×D416yes—
428C22×D3C22×D416yes—
429C22×D3C2×#41112yes—
430C3×D4—412no—
431C2×C3×C4—224no—
432C2×C3×C4—26no—
433C2×C3×C4—224no—
434C2×C3×C4—23no—
435C2×C3×C4—23no—
436C2×C3×C4—23no—
437C2×C3×C4—23no—
438C2×C3×C4—26no—
439C2×C3×C4—23no—
440C2×C3×C4—44no—
441C2×C3×C4C22×D416yes—
442C2×C3×C4C22×D416yes—
443#67—412no—
444#67—44no—
445#67—412no—
446#67—44no—
447C2×Dic3—224no—
448C2×Dic3—26no—
449C2×Dic3—224no—
450C2×Dic3—23no—
451C2×Dic3—23no—
452C2×Dic3—23no—
453C2×Dic3—23no—
454C2×Dic3—26no—
455C2×Dic3—23no—
456C2×Dic3C22×D416yes—
457C2×Dic3C22×D416yes—
458D12—44no—
459D12—412no—
460C4×D3—248no—
461C4×D3—224no—
462C4×D3—224no—
463C4×D3—224no—
464C4×D3—44no—
465C4×D3#120116yescomplemented
466Dic6—44no—
467C24—26no—
468C24—26no—
469C24—31no—
470C24—33no—
471C24—312no—
472C24—312no—
473C24—31no—
474C24—612no—
475C24—612no—
476C24—612no—
477C24—612no—
478C24—632no—
479C24—696no—
480C24—696no—
481C24—66no—
482C24—66no—
483C24—66no—
484C24—66no—
485C24#23514yescomplemented
486C24C23×D311yescharacteristic
487C24C23×D313yes—
488#41—1216no—
489C2×Q8—66no—
490C2×D4—26no—
491C2×D4—26no—
492C2×D4—26no—
493C2×D4—66no—
494C2×D4—66no—
495C2×D4—612no—
496C2×D4—66no—
497C2×D4—66no—
498C2×D4—66no—
499C2×D4—612no—
500C2×D4—66no—
501C2×D4—66no—
502C2×D4—66no—
503C22×C4—232no—
504C22×C4—26no—
505C22×C4—212no—
506C22×C4—212no—
507C22×C4—26no—
508C22×C4—31no—
509C22×C4—312no—
510C22×C4—312no—
511C22×C4—33no—
512C22×C4—312no—
513C22×C4—312no—
514C22×C4—312no—
515C22×C4—33no—
516C22×C4—33no—
517C22×C4—31no—
518C22×C4—612no—
519C22×C4—612no—
520C22×C4—696no—
521C22×C4—612no—
522C22×C4—612no—
523C22×C4—696no—
524C22×C4—696no—
525C22×C4—696no—
526C22×C4—612no—
527C22×C4—612no—
528C22×C4—632no—
529C22×C4—66no—
530C22×C4—612no—
531C22×C4—612no—
532C22×C4—66no—
533C22×C4D3×D4112yes—
534C22×C4C23×D313yes—
535C22×C4C23×D313yes—
536C22×C4C23×D311yescharacteristic
537C22×C4C23×D313yes—
538C22×C4C23×D311yescharacteristic
539C4⋊C4—26no—
540C4⋊C4—66no—
541C4⋊C4—66no—
542C4⋊C4—66no—
543C4⋊C4—66no—
544C4⋊C4—66no—
545C22⋊C4—26no—
546C22⋊C4—26no—
547C22⋊C4—26no—
548C22⋊C4—26no—
549C22⋊C4—66no—
550C22⋊C4—66no—
551C22⋊C4—66no—
552C22⋊C4—66no—
553C22⋊C4—66no—
554C22⋊C4—612no—
555C22⋊C4—612no—
556C22⋊C4—66no—
557C22⋊C4—66no—
558C22⋊C4—66no—
559C22⋊C4—66no—
560C22⋊C4—66no—
561C42—26no—
562C42—66no—
563C22×C3—232no—
564C22×C3—26no—
565C22×C3—26no—
566C22×C3—212no—
567C22×C3—212no—
568C22×C3—41no—
569C22×C3—43no—
570C22×C3—43no—
571C22×C3#525112yescomplemented
572C22×C3C23×D413yes—
573C22×C3C22×#4111yescharacteristic
574C22×C3C22×#4113yes—
575C2×D3—296no—
576C2×D3—296no—
577C2×D3—26no—
578C2×D3—26no—
579C2×D3—26no—
580C2×D3—26no—
581C2×D3—212no—
582C2×D3—212no—
583C2×D3—41no—
584C2×D3—43no—
585C2×D3—43no—
586C2×D3C2×#12014yes—
587C2×D3#525112yescomplemented
588C3×C4—26no—
589C3×C4—41no—
590C3×C4—43no—
591C3×C4—43no—
592C3×C4C2×#12014yes—
593Dic3—26no—
594Dic3—41no—
595Dic3—43no—
596Dic3—43no—
597Dic3C2×#12014yes—
598C23—28no—
599C23—224no—
600C23—26no—
601C23—26no—
602C23—224no—
603C23—21no—
604C23—23no—
605C23—23no—
606C23—36no—
607C23—36no—
608C23—312no—
609C23—624no—
610C23—624no—
611C23—648no—
612C23—624no—
613C23—6256no—
614C23—648no—
615C23—648no—
616C23—624no—
617C23—648no—
618C23—61no—
619C23—63no—
620C23—66no—
621C23—63no—
622C23—63no—
623C23—624no—
624C23—624no—
625C23—61no—
626C23—63no—
627C23—63no—
628C23C2×#23516yes—
629C23C2×D3×D416yes—
630C23D3×#4116yes—
631C23C24×D311yescharacteristic
632Q8—124no—
633D4—412no—
634D4—124no—
635D4—124no—
636D4—1212no—
637D4—124no—
638D4—1212no—
639D4—1212no—
640C2×C4—224no—
641C2×C4—26no—
642C2×C4—224no—
643C2×C4—23no—
644C2×C4—23no—
645C2×C4—23no—
646C2×C4—23no—
647C2×C4—26no—
648C2×C4—23no—
649C2×C4—36no—
650C2×C4—316no—
651C2×C4—36no—
652C2×C4—44no—
653C2×C4—624no—
654C2×C4—624no—
655C2×C4—648no—
656C2×C4—624no—
657C2×C4—624no—
658C2×C4—66no—
659C2×C4—624no—
660C2×C4—63no—
661C2×C4—63no—
662C2×C4—63no—
663C2×C4—63no—
664C2×C4—63no—
665C2×C4—66no—
666C2×C4—124no—
667C2×C4C2×D3×D416yes—
668C2×C4C2×D3×D416yes—
669C2×C3—212no—
670C2×C3—81no—
671C2×C3C22×#12011yescharacteristic
672C2×C3C2×#52513yes—
673C2×C3C2×#52513yes—
674D3—24no—
675D3—212no—
676D3—81no—
677C22—232no—
678C22—212no—
679C22—26no—
680C22—212no—
681C22—26no—
682C22—312no—
683C22—34no—
684C22—43no—
685C22—43no—
686C22—41no—
687C22—696no—
688C22—696no—
689C22—66no—
690C22—66no—
691C22—612no—
692C22—66no—
693C22—612no—
694C22—66no—
695C22—123no—
696C22—123no—
697C22—121no—
698C22#5547112yescomplemented
699C22C22×#23511yescharacteristic
700C22C22×D3×D413yes—
701C22C2×D3×#4113yes—
702C4—26no—
703C4—34no—
704C4—43no—
705C4—43no—
706C4—41no—
707C4—66no—
708C4—123no—
709C4—123no—
710C4—121no—
711C4D3×#12014yes—
712C3#3661411yescharacteristic, complemented, Sylow
713C2—212no—
714C2—612no—
715C2—64no—
716C2—81no—
717C2—241no—
718C2C2×#554713yes—
719C2C2×D3×#12011yescharacteristic
720C2D3×#52513yes—
subgroupG/H
centerC22×C4C23×D3
commutator, socle, cosocleC23×C3C25
FrattiniC23C24×D3
FittingC3×C4×#120C2
hypercenterC4×#120D3
hypocenterC3#36614
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. C24×C4×D3C2semidirect
2. C2×#5547C2semidirect
3. C3×C4×#120C2semidirect
4. C4×#953C2semidirect
5. #82612C2semidirect
6. #82601C2semidirect
7. C4×#937C2semidirect
8. #74936C2semidirect
9. #74935C2semidirect
10. #74656C2semidirect
11. #74655C2semidirect
12. #73861C2semidirect
13. #73846C2semidirect
14. C4×#882C2semidirect
15. #73561C2semidirect
20. C22×#235C22semidirect
27. C2×C3×C4×D4C22semidirect
29. C2×#939C22semidirect
32. C2×C4×#67C22semidirect
33. C2×C4×#67C22semidirect
35. C2×#896C22semidirect
36. C2×#894C22semidirect
37. C2×#884C22semidirect
38. C2×#883C22semidirect
41. C2×#878C22semidirect
42. C2×C4×D12C22semidirect
43. C2×#872C22semidirect
44. C3×#386C22semidirect
45. C3×#385C22semidirect
47. C3×C4×C22⋊C4C22semidirect
49. #5220C22semidirect
50. #5213C22semidirect
51. #5210C22semidirect
52. C4×#217C22semidirect
53. #4989C22semidirect
54. #4958C22semidirect
55. #4956C22semidirect
60. #4950C22semidirect
61. #4946C22semidirect
62. #4942C22semidirect
63. #4942C22semidirect
64. C4×(C2×D3)⋊C4C22semidirect
65. #4668C22semidirect
66. #4667C22semidirect
67. #4665C22semidirect
68. #4664C22semidirect
82. C4×#120D3semidirect
94. C23×C3×C4C23semidirect
98. C22×#67C23semidirect
113. C22×C4×D3D4semidirect
119. C22×C4×D3C23semidirect
120. C22×Dic6C23semidirect
123. C2×C3×C4⋊C4C23semidirect
127. C2×C3×C22⋊C4C23semidirect
128. C2×C3×C42C23semidirect
133. C2×#217C23semidirect
145. C2×(C2×D3)⋊C4C23semidirect
146. C2×(C2×D3)⋊C4C23semidirect
147. C2×C4⋊Dic3C23semidirect
148. C2×Dic3⋊C4C23semidirect
149. C2×Dic3⋊C4C23semidirect
150. C2×Dic3⋊C4C23semidirect
151. C2×Dic3⋊C4C23semidirect
152. C2×C4×Dic3C23semidirect
162. C3×#95C23semidirect
163. C3⋊#95C23semidirect
164. C3⋊#95C23semidirect
165. C3⋊#95C23semidirect
191. C2×C4×D4C2×D3semidirect
198. #386C2×D3semidirect
204. #385C2×D3semidirect
217. C4×C22⋊C4C2×D3semidirect
220. C24×C3#41semidirect
235. C23×D3#41semidirect
350. C23×C4C22×D3semidirect
373. C2×C4⋊C4C22×D3semidirect
389. C2×C22⋊C4C22×D3semidirect
391. C2×C42C22×D3semidirect
395. #95C22×D3semidirect
465. C4×D3#120semidirect
485. C24#235semidirect
571. C22×C3#525semidirect
587. C2×D3#525semidirect
698. C22#5547semidirect
712. C3#36614semidirect

Maximal subgroups

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

subgroupindex
C24×C4×D32
C2×#55472
C3×C4×#1202
C4×#9532
#826122
#826012
C4×#9372
#749362
#749352
#746562
#746552
#738612
#738462
C4×#8822
#735612
#366143