Finite Group Databasebeta

← #11235708

Subgroups — #11235708

Order 768.

3346 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2375C211yesmaximal, characteristic, complemented
2#82612C211yesmaximal, characteristic, complemented
3#82611C211yesmaximal, characteristic, complemented
4#76461C213yesmaximal, complemented
5#76330C213yesmaximal, complemented
6#75936C213yesmaximal, complemented
7#75917C213yesmaximal, complemented
8#75890C213yesmaximal, complemented
9#75526C213yesmaximal, complemented
10#74919C213yesmaximal, complemented
11#74886C213yesmaximal, complemented
12#73861C211yesmaximal, characteristic, complemented
13#73851C211yesmaximal, characteristic, complemented
14D3×#379C211yesmaximal, characteristic, complemented
15#73844C211yesmaximal, characteristic, complemented
16#45458—31nomaximal, Sylow
17C25×D3C2211yescharacteristic
18C22×#235C2211yescharacteristic, complemented
19C2×C3×#120C2211yescharacteristic
20C2×#953C2211yescharacteristic
21C2×#937C2213yes—
22C2×#937C2213yes—
23C2×#896C2213yescomplemented
24C2×#885C2213yescomplemented
25C2×#882C2213yes—
26C2×#882C2213yes—
27C2×D3×C22⋊C4C2213yes—
28C2×D3×C22⋊C4C2213yes—
29C2×#875C2213yescomplemented
30C3×#390C2213yescomplemented
31C3×#388C2213yescomplemented
32C3×#388C2213yescomplemented
33C3×#386C2213yescomplemented
34C3×#379C2211yescharacteristic
35C3×#379C2211yescharacteristic
36#5247C2211yescharacteristic
37#5247C2211yescharacteristic
38#5223C2213yescomplemented
39#5222C2213yescomplemented
40#5213C2213yescomplemented
41#4992C2213yescomplemented
42#4991C2213yescomplemented
43#4990C2213yescomplemented
44#4960C2213yescomplemented
45#4959C2213yescomplemented
46#4959C2213yescomplemented
47#4957C2213yescomplemented
48#4956C2213yescomplemented
49#4956C2213yescomplemented
50#4955C2213yes—
51#4955C2213yes—
52#4955C2213yes—
53#4955C2213yes—
54#4955C2213yes—
55#4955C2213yes—
56#4952C2213yescomplemented
57#4947C2213yescomplemented
58#4947C2213yescomplemented
59#4947C2213yescomplemented
60#4947C2213yescomplemented
61#4945C2213yescomplemented
62#4944C2213yescomplemented
63#4940C2213yescomplemented
64#4940C2213yescomplemented
65C4×(C2×D3)⋊C4C2213yescomplemented
66#4675C2213yescomplemented
67#4675C2213yescomplemented
68#4673C2213yescomplemented
69#4673C2213yescomplemented
70#4669C2213yescomplemented
71#4665C2213yescomplemented
72#4665C2213yescomplemented
73#4664C2213yescomplemented
74#2846—31no—
75#2846—31no—
76#2840—31no—
77#2812—31no—
78#2736—33no—
79#2684—33no—
80#2684—33no—
81#2670—33no—
82#2561—33no—
83#2472—33no—
84#2472—33no—
85#2404—33no—
86#2375—31no—
87#2375D311yescharacteristic, complemented
88C2×#379—31no—
89C25×C3C2311yescharacteristic
90C24×D3—24no—
91C24×D3—46no—
92C24×D3—46no—
93C24×D3C2313yes—
94C24×D3C2313yes—
95C22×C3×D4C2313yes—
96C23×C3×C4C2311yescharacteristic, complemented
97C22×#67C2311yescharacteristic
98C22×#67C2313yes—
99C22×#67C2313yes—
100C22×#67C2311yescharacteristic, complemented
101C2×#235—46no—
102C22×D12C2311yescharacteristic
103C22×D12C2313yes—
104C22×C4×D3C2311yescharacteristic
105C22×C4×D3C2313yes—
106C22×C4×D3C2311yescharacteristic, complemented
107C22×Dic6C2311yescharacteristic, complemented
108C22×Dic6C2313yescomplemented
109C3×#120—24no—
110C2×C3×C4⋊C4C2313yescomplemented
111C2×C3×C22⋊C4C2313yes—
112C2×C3×C22⋊C4C2313yes—
113C2×C3×C22⋊C4C2313yes—
114C2×C3×C22⋊C4C2313yes—
115C2×C3×C22⋊C4C2313yes—
116C2×C3×C22⋊C4C2313yescomplemented
117C2×C3×C42C2313yescomplemented
118#953—24no—
119C2×#217C2313yes—
120C2×#217C2313yes—
121C2×#217C2313yes—
122C2×#217C2313yes—
123C2×#217C2313yes—
124C2×#217C2313yescomplemented
125#937—46no—
126#937—46no—
127C2×(C2×D3)⋊C4C2313yes—
128C2×(C2×D3)⋊C4C2313yes—
129C2×(C2×D3)⋊C4C2313yes—
130C2×(C2×D3)⋊C4C2313yes—
131C2×(C2×D3)⋊C4C2313yes—
132C2×(C2×D3)⋊C4C2313yes—
133C2×(C2×D3)⋊C4C2313yes—
134C2×(C2×D3)⋊C4C2313yes—
135C2×(C2×D3)⋊C4C2313yes—
136C2×(C2×D3)⋊C4C2313yes—
137C2×(C2×D3)⋊C4C2313yes—
138C2×(C2×D3)⋊C4C2313yes—
139C2×(C2×D3)⋊C4C2313yescomplemented
140C2×(C2×D3)⋊C4C2313yescomplemented
141C2×Dic3⋊C4C2313yescomplemented
142C2×Dic3⋊C4C2313yescomplemented
143C2×C4×Dic3C2313yescomplemented
144#896—46no—
145#885—46no—
146#882—46no—
147#882—46no—
148D3×C22⋊C4—46no—
149D3×C22⋊C4—46no—
150#875—46no—
151C3×#95C2313yescomplemented
152C3×#95C2313yescomplemented
153C3⋊#95C2313yescomplemented
154C3⋊#95C2313yescomplemented
155C3⋊#95C2313yescomplemented
156C3⋊#95C2313yescomplemented
157C3⋊#95C2313yescomplemented
158C3⋊#95C2313yescomplemented
159C3⋊#95C2313yescomplemented
160C3⋊#95C2313yescomplemented
161C26—31no—
162C22×#41—31no—
163C2×#124—33no—
164C2×#124—33no—
165C2×C22⋊Q8—33no—
166C2×#120—31no—
167C2×#120—33no—
168C2×#120—33no—
169C2×#120—33no—
170C2×#120—33no—
171C2×#120C2×D311yescharacteristic
172C22×C22⋊C4—33no—
173C22×C22⋊C4—33no—
174#397—33no—
175#397—33no—
176#397—33no—
177#397—33no—
178#394—33no—
179#394—33no—
180#394—33no—
181#394—33no—
182#393—33no—
183#393—33no—
184#393—33no—
185#393—33no—
186#393—33no—
187#393—33no—
188#392—33no—
189#392—33no—
190#390—33no—
191#390C2×D313yescomplemented
192#388—33no—
193#388—33no—
194#388—33no—
195#388—33no—
196#388—33no—
197#388—33no—
198#388C2×D313yescomplemented
199#388C2×D313yescomplemented
200#386—33no—
201#386—33no—
202#386—33no—
203#386—33no—
204#386—33no—
205#386C2×D313yescomplemented
206#381—33no—
207#379—31no—
208#379—31no—
209#379—33no—
210#379—33no—
211#379—33no—
212#379—33no—
213#379—33no—
214#379—33no—
215#379C2×D311yescharacteristic
216#379C2×D311yescharacteristic
217C4×C22⋊C4—33no—
218C24×C3—43no—
219C24×C3—43no—
220C24×C3#4114yescomplemented
221C24×C3C2411yescharacteristic
222C24×C3C2413yes—
223C23×D3—26no—
224C23×D3—26no—
225C23×D3—26no—
226C23×D3—26no—
227C23×D3—26no—
228C23×D3—26no—
229C23×D3—26no—
230C23×D3—26no—
231C23×D3—43no—
232C23×D3—43no—
233C23×D3—43no—
234C23×D3—43no—
235C23×D3—43no—
236C23×D3—43no—
237C23×D3—448no—
238C23×D3—448no—
239C23×D3—416no—
240C23×D3C2411yescharacteristic
241C23×D3C2413yes—
242C23×D3C2411yescharacteristic
243C2×C3×D4—26no—
244C2×C3×D4—43no—
245C2×C3×D4—43no—
246C22×C3×C4—43no—
247C22×C3×C4C2411yescharacteristic
248C22×C3×C4C2411yescharacteristic
249C22×C3×C4C2413yes—
250C22×C3×C4C2413yes—
251C22×C3×C4C2413yes—
252C2×#67—26no—
253C2×#67—26no—
254C2×#67—26no—
255C2×#67—43no—
256C2×#67—43no—
257C2×#67—43no—
258C2×#67—43no—
259C2×#67—43no—
260C22×Dic3C2411yescharacteristic
261C22×Dic3C2411yescharacteristic
262C22×Dic3C2413yes—
263C22×Dic3C2413yes—
264C22×Dic3C2413yes—
265#235—416no—
266C2×D12—26no—
267C2×D12—26no—
268C2×D12—43no—
269C2×D12—43no—
270C2×C4×D3—26no—
271C2×C4×D3—26no—
272C2×C4×D3—43no—
273C2×C4×D3—43no—
274C2×C4×D3—43no—
275C2×Dic6—43no—
276C2×Dic6—43no—
277C2×Dic6—43no—
278C2×Dic6—43no—
279C3×C4⋊C4—43no—
280C3×C22⋊C4—26no—
281C3×C22⋊C4—43no—
282C3×C22⋊C4—43no—
283C3×C22⋊C4—43no—
284C3×C22⋊C4—43no—
285C3×C22⋊C4—43no—
286C3×C42—43no—
287#217—26no—
288#217—43no—
289#217—43no—
290#217—43no—
291#217—43no—
292#217—43no—
293(C2×D3)⋊C4—26no—
294(C2×D3)⋊C4—26no—
295(C2×D3)⋊C4—26no—
296(C2×D3)⋊C4—26no—
297(C2×D3)⋊C4—26no—
298(C2×D3)⋊C4—26no—
299(C2×D3)⋊C4—43no—
300(C2×D3)⋊C4—43no—
301(C2×D3)⋊C4—43no—
302(C2×D3)⋊C4—43no—
303(C2×D3)⋊C4—43no—
304(C2×D3)⋊C4—43no—
305(C2×D3)⋊C4—43no—
306(C2×D3)⋊C4—43no—
307Dic3⋊C4—43no—
308Dic3⋊C4—43no—
309C4×Dic3—43no—
310C25—33no—
311C25—33no—
312C25—64no—
313C25—126no—
314C25—126no—
315C25C22×D311yescharacteristic
316C2×#41—126no—
317C22×Q8—33no—
318C22×Q8—31no—
319C22×D4—31no—
320C22×D4—33no—
321C22×D4—33no—
322C22×D4—31no—
323C22×D4—31no—
324C22×D4—33no—
325C22×D4C22×D313yes—
326C23×C4—31no—
327C23×C4—33no—
328C23×C4—31no—
329C23×C4C22×D311yescharacteristic, complemented
330#124—126no—
331#124—126no—
332C22⋊Q8—126no—
333#120—24no—
334#120—64no—
335#120—126no—
336#120—126no—
337#120—126no—
338#120—126no—
339C2×C4⋊C4—33no—
340C2×C4⋊C4—33no—
341C2×C4⋊C4C22×D313yescomplemented
342C2×C22⋊C4—33no—
343C2×C22⋊C4—33no—
344C2×C22⋊C4—33no—
345C2×C22⋊C4—33no—
346C2×C22⋊C4—33no—
347C2×C22⋊C4—33no—
348C2×C22⋊C4—33no—
349C2×C22⋊C4—33no—
350C2×C22⋊C4—33no—
351C2×C22⋊C4—33no—
352C2×C22⋊C4—33no—
353C2×C22⋊C4—33no—
354C2×C22⋊C4—33no—
355C2×C22⋊C4—33no—
356C2×C22⋊C4—33no—
357C2×C22⋊C4—33no—
358C2×C22⋊C4—33no—
359C2×C22⋊C4—33no—
360C2×C22⋊C4—33no—
361C2×C22⋊C4—33no—
362C2×C22⋊C4—126no—
363C2×C22⋊C4—126no—
364C2×C22⋊C4C22×D313yes—
365C2×C22⋊C4C22×D313yes—
366C2×C22⋊C4C22×D313yes—
367C2×C22⋊C4C22×D313yes—
368C2×C22⋊C4C22×D313yes—
369C2×C22⋊C4C22×D313yescomplemented
370C2×C42—33no—
371C2×C42C22×D313yescomplemented
372#95—33no—
373#95—33no—
374#95—33no—
375#95—33no—
376#95—33no—
377#95—33no—
378#95—33no—
379#95—33no—
380#95C22×D313yescomplemented
381#95C22×D313yescomplemented
382C23×C3—23no—
383C23×C3—23no—
384C23×C3—23no—
385C23×C3—23no—
386C23×C3—23no—
387C23×C3—23no—
388C23×C3—21no—
389C23×C3—23no—
390C23×C3—23no—
391C23×C3—412no—
392C23×C3—44no—
393C23×C3—412no—
394C23×C3C2×#4116yes—
395C23×C3C2511yescharacteristic
396C22×D3—21no—
397C22×D3—23no—
398C22×D3—224no—
399C22×D3—23no—
400C22×D3—23no—
401C22×D3—23no—
402C22×D3—23no—
403C22×D3—23no—
404C22×D3—23no—
405C22×D3—21no—
406C22×D3—23no—
407C22×D3—23no—
408C22×D3—412no—
409C22×D3—412no—
410C22×D3—412no—
411C22×D3—412no—
412C22×D3—412no—
413C22×D3—412no—
414C22×D3—412no—
415C22×D3—412no—
416C22×D3—412no—
417C22×D3—412no—
418C22×D3—412no—
419C22×D3—4128no—
420C22×D3—412no—
421C22×D3—412no—
422C22×D3H(5,𝔽2)16yes—
423C22×D3H(5,𝔽2)16yes—
424C3×D4—86no—
425C2×C3×C4—23no—
426C2×C3×C4—23no—
427C2×C3×C4—23no—
428C2×C3×C4—23no—
429C2×C3×C4—23no—
430C2×C3×C4—23no—
431C2×C3×C4—23no—
432C2×C3×C4—23no—
433C2×C3×C4—23no—
434C2×C3×C4—23no—
435C2×C3×C4—23no—
436C2×C3×C4—44no—
437#67—44no—
438#67—44no—
439#67—86no—
440#67—86no—
441C2×Dic3—23no—
442C2×Dic3—23no—
443C2×Dic3—23no—
444C2×Dic3—23no—
445C2×Dic3—23no—
446C2×Dic3—23no—
447C2×Dic3—23no—
448C2×Dic3—23no—
449C2×Dic3—23no—
450C2×Dic3—23no—
451C2×Dic3—23no—
452D12—44no—
453D12—86no—
454C4×D3—44no—
455C4×D3—44no—
456C4×D3—86no—
457Dic6—44no—
458Dic6—86no—
459C24—31no—
460C24—33no—
461C24—31no—
462C24—43no—
463C24—43no—
464C24—66no—
465C24—66no—
466C24—66no—
467C24—66no—
468C24—66no—
469C24—66no—
470C24—66no—
471C24—66no—
472C24—123no—
473C24—123no—
474C24—123no—
475C24—123no—
476C24—123no—
477C24—123no—
478C24—1248no—
479C24—1216no—
480C24—1248no—
481C24#23514yescomplemented
482C24C23×D311yescharacteristic
483C24C23×D313yes—
484#41—1216no—
485C2×Q8—123no—
486C2×Q8—123no—
487C2×Q8—123no—
488C2×Q8—123no—
489C2×D4—26no—
490C2×D4—43no—
491C2×D4—43no—
492C2×D4—66no—
493C2×D4—66no—
494C2×D4—66no—
495C2×D4—66no—
496C2×D4—66no—
497C2×D4—123no—
498C2×D4—123no—
499C2×D4—123no—
500C2×D4—123no—
501C2×D4—123no—
502C2×D4—123no—
503C2×D4—123no—
504C22×C4—31no—
505C22×C4—31no—
506C22×C4—33no—
507C22×C4—33no—
508C22×C4—33no—
509C22×C4—43no—
510C22×C4—66no—
511C22×C4—66no—
512C22×C4—123no—
513C22×C4—123no—
514C22×C4—123no—
515C22×C4C23×D311yescharacteristic
516C22×C4C23×D311yescharacteristic
517C22×C4C23×D313yes—
518C22×C4C23×D313yes—
519C22×C4C23×D313yes—
520C4⋊C4—43no—
521C4⋊C4—123no—
522C4⋊C4—123no—
523C22⋊C4—26no—
524C22⋊C4—43no—
525C22⋊C4—43no—
526C22⋊C4—43no—
527C22⋊C4—43no—
528C22⋊C4—43no—
529C22⋊C4—66no—
530C22⋊C4—66no—
531C22⋊C4—66no—
532C22⋊C4—66no—
533C22⋊C4—66no—
534C22⋊C4—66no—
535C22⋊C4—66no—
536C22⋊C4—123no—
537C22⋊C4—123no—
538C22⋊C4—123no—
539C22⋊C4—123no—
540C22⋊C4—123no—
541C22⋊C4—123no—
542C22⋊C4—123no—
543C22⋊C4—123no—
544C22⋊C4—123no—
545C22⋊C4—123no—
546C22⋊C4—123no—
547C22⋊C4—123no—
548C22⋊C4—123no—
549C42—43no—
550C42—123no—
551C22×C3—26no—
552C22×C3—26no—
553C22×C3—26no—
554C22×C3—416no—
555C22×C3—43no—
556C22×C3—43no—
557C22×C3—43no—
558C22×C3—43no—
559C22×C3—43no—
560C22×C3—41no—
561C22×C3—43no—
562C22×C3C22×#4111yescharacteristic
563C22×C3C2×H(5,𝔽2)13yes—
564C22×C3C2×H(5,𝔽2)13yes—
565C2×D3—26no—
566C2×D3—26no—
567C2×D3—26no—
568C2×D3—26no—
569C2×D3—26no—
570C2×D3—448no—
571C2×D3—448no—
572C2×D3—43no—
573C2×D3—43no—
574C2×D3—43no—
575C2×D3—43no—
576C2×D3—43no—
577C2×D3—41no—
578C2×D3—43no—
579C2×D3H(3,𝔽4)14yes—
580C3×C4—43no—
581C3×C4—41no—
582C3×C4—41no—
583C3×C4—43no—
584C3×C4—43no—
585Dic3—43no—
586Dic3—41no—
587Dic3—41no—
588Dic3—43no—
589Dic3—43no—
590C23—23no—
591C23—23no—
592C23—23no—
593C23—23no—
594C23—23no—
595C23—23no—
596C23—21no—
597C23—23no—
598C23—23no—
599C23—36no—
600C23—36no—
601C23—412no—
602C23—412no—
603C23—44no—
604C23—624no—
605C23—61no—
606C23—63no—
607C23—63no—
608C23—63no—
609C23—63no—
610C23—63no—
611C23—63no—
612C23—63no—
613C23—61no—
614C23—63no—
615C23—63no—
616C23—1212no—
617C23—1212no—
618C23—1212no—
619C23—1212no—
620C23—1212no—
621C23—1212no—
622C23—1212no—
623C23—1212no—
624C23—1212no—
625C23—1212no—
626C23—1212no—
627C23—1212no—
628C23—12128no—
629C23—1212no—
630C23C2×#23516yes—
631C23C24×D311yescharacteristic
632Q8—124no—
633Q8—246no—
634D4—86no—
635D4—124no—
636D4—124no—
637D4—124no—
638D4—246no—
639D4—246no—
640D4—246no—
641C2×C4—23no—
642C2×C4—23no—
643C2×C4—23no—
644C2×C4—23no—
645C2×C4—23no—
646C2×C4—23no—
647C2×C4—23no—
648C2×C4—23no—
649C2×C4—23no—
650C2×C4—23no—
651C2×C4—23no—
652C2×C4—44no—
653C2×C4—63no—
654C2×C4—63no—
655C2×C4—63no—
656C2×C4—63no—
657C2×C4—63no—
658C2×C4—63no—
659C2×C4—63no—
660C2×C4—63no—
661C2×C4—63no—
662C2×C4—63no—
663C2×C4—63no—
664C2×C4—124no—
665C2×C4—124no—
666C2×C4—246no—
667C2×C3—46no—
668C2×C3—81no—
669C2×C3#349013yes—
670C2×C3C2×H(3,𝔽4)11yescharacteristic
671C2×C3#353213yes—
672D3—24no—
673D3—46no—
674D3—81no—
675C22—26no—
676C22—26no—
677C22—26no—
678C22—34no—
679C22—416no—
680C22—43no—
681C22—43no—
682C22—43no—
683C22—43no—
684C22—43no—
685C22—41no—
686C22—43no—
687C22—66no—
688C22—66no—
689C22—66no—
690C22—66no—
691C22—66no—
692C22—1248no—
693C22—1248no—
694C22—123no—
695C22—123no—
696C22—123no—
697C22—123no—
698C22—123no—
699C22—121no—
700C22—123no—
701C22C22×#23511yescharacteristic
702C22D3×H(5,𝔽2)13yes—
703C22D3×H(5,𝔽2)13yes—
704C4—43no—
705C4—43no—
706C4—41no—
707C4—41no—
708C4—43no—
709C4—123no—
710C4—123no—
711C4—121no—
712C4—121no—
713C4—123no—
714C3#4545811yescharacteristic, complemented, Sylow
715C2—46no—
716C2—64no—
717C2—81no—
718C2—126no—
719C2—241no—
720C2#8586813yes—
721C2#8708013yes—
722C2D3×H(3,𝔽4)11yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2375C2
hypercenter#2375D3
hypocenterC3#45458
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2375

Complements

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

NH ≅ G/Ntype
1. C3×#2375C2semidirect
2. #82612C2semidirect
3. #82611C2semidirect
4. #76461C2semidirect
5. #76330C2semidirect
6. #75936C2semidirect
7. #75917C2semidirect
8. #75890C2semidirect
9. #75526C2semidirect
10. #74919C2semidirect
11. #74886C2semidirect
12. #73861C2semidirect
13. #73851C2semidirect
14. D3×#379C2semidirect
15. #73844C2semidirect
18. C22×#235C22semidirect
23. C2×#896C22semidirect
24. C2×#885C22semidirect
29. C2×#875C22semidirect
30. C3×#390C22semidirect
31. C3×#388C22semidirect
32. C3×#388C22semidirect
33. C3×#386C22semidirect
38. #5223C22semidirect
39. #5222C22semidirect
40. #5213C22semidirect
41. #4992C22semidirect
42. #4991C22semidirect
43. #4990C22semidirect
44. #4960C22semidirect
45. #4959C22semidirect
46. #4959C22semidirect
47. #4957C22semidirect
48. #4956C22semidirect
49. #4956C22semidirect
56. #4952C22semidirect
57. #4947C22semidirect
58. #4947C22semidirect
59. #4947C22semidirect
60. #4947C22semidirect
61. #4945C22semidirect
62. #4944C22semidirect
63. #4940C22semidirect
64. #4940C22semidirect
65. C4×(C2×D3)⋊C4C22semidirect
66. #4675C22semidirect
67. #4675C22semidirect
68. #4673C22semidirect
69. #4673C22semidirect
70. #4669C22semidirect
71. #4665C22semidirect
72. #4665C22semidirect
73. #4664C22semidirect
87. #2375D3semidirect
96. C23×C3×C4C23semidirect
100. C22×#67C23semidirect
106. C22×C4×D3C23semidirect
107. C22×Dic6C23semidirect
108. C22×Dic6C23semidirect
110. C2×C3×C4⋊C4C23semidirect
116. C2×C3×C22⋊C4C23semidirect
117. C2×C3×C42C23semidirect
124. C2×#217C23semidirect
139. C2×(C2×D3)⋊C4C23semidirect
140. C2×(C2×D3)⋊C4C23semidirect
141. C2×Dic3⋊C4C23semidirect
142. C2×Dic3⋊C4C23semidirect
143. C2×C4×Dic3C23semidirect
151. C3×#95C23semidirect
152. C3×#95C23semidirect
153. C3⋊#95C23semidirect
154. C3⋊#95C23semidirect
155. C3⋊#95C23semidirect
156. C3⋊#95C23semidirect
157. C3⋊#95C23semidirect
158. C3⋊#95C23semidirect
159. C3⋊#95C23semidirect
160. C3⋊#95C23semidirect
191. #390C2×D3semidirect
198. #388C2×D3semidirect
199. #388C2×D3semidirect
205. #386C2×D3semidirect
220. C24×C3#41semidirect
329. C23×C4C22×D3semidirect
341. C2×C4⋊C4C22×D3semidirect
369. C2×C22⋊C4C22×D3semidirect
371. C2×C42C22×D3semidirect
380. #95C22×D3semidirect
381. #95C22×D3semidirect
481. C24#235semidirect
714. C3#45458semidirect

Maximal subgroups

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

subgroupindex
C3×#23752
#826122
#826112
#764612
#763302
#759362
#759172
#758902
#755262
#749192
#748862
#738612
#738512
D3×#3792
#738442
#454583