Finite Group Databasebeta

← #11882269

Subgroups — #11882269

Order 1152.

844 conjugacy classes of subgroups.

The subgroup lattice has 765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595367C211yesmaximal, characteristic, complemented
2#10594369C211yesmaximal, characteristic
3#10592517C211yesmaximal, characteristic, complemented
4C3×#4807C211yesmaximal, characteristic, complemented
5C3×#4791C211yesmaximal, characteristic, complemented
6#10591617C211yesmaximal, characteristic, complemented
7#10591585C211yesmaximal, characteristic, complemented
8#10591569C211yesmaximal, characteristic, complemented
9#10590879C211yesmaximal, characteristic, complemented
10#10590830C211yesmaximal, characteristic, complemented
11#10590776C211yesmaximal, characteristic, complemented
12D3×Dic3⋊C8C211yesmaximal, characteristic, complemented
13#10590578C211yesmaximal, characteristic, complemented
14#10590487C211yesmaximal, characteristic, complemented
15#10590433C211yesmaximal, characteristic, complemented
16#81002—31nomaximal
17#80640—31nomaximal
18C2×#3796—21no—
19#64153C2211yescharacteristic
20C2×#3755C2211yescharacteristic
21C2×#3744C2211yescharacteristic
22#64102C2211yescharacteristic
23C3×#946C2211yescharacteristic
24C3×Q8×Dic3C2211yescharacteristic
25C2×C3×#215C2211yescharacteristic
26C2×C3×D3×C8C2211yescharacteristic
27C3×#895C2211yescharacteristic
28C3×#888C2211yescharacteristic
29#63919C2211yescharacteristic
30#63911C2211yescharacteristic
31#63909C2211yescharacteristic
32#63907—21no—
33#63899—21no—
34#63898C2211yescharacteristic
35#63886—21no—
36#63881—21no—
37#63877—21no—
38C4×D3×Dic3C2211yescharacteristic
39#63857C2211yescharacteristic
40#63847—21no—
41#63844C2211yescharacteristic
42#63837—21no—
43C2×#3716C2211yescharacteristic
44C2×D3×C3⋊C8C2211yescharacteristic
45C32×#103C2211yescharacteristic
46#63641C2211yescharacteristic
47#63637C2211yescharacteristic
48C3×#835C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×#817C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52C3×#808C2211yescharacteristic
53C3×#808C2211yescharacteristic
54#63574C2211yescharacteristic
55#63572C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63567C2211yescharacteristic
58#63564C2211yescharacteristic
59#63564C2211yescharacteristic
60#63562C2211yescharacteristic
61#5725—31no—
62#5622—31no—
63#5596—31no—
64#5578—31no—
65C3×#475—31no—
66C3×#465—31no—
67#5163—31no—
68#5162—31no—
69#5114—31no—
70C2×Dic3⋊C8—31no—
71#5094—31no—
72#5048—31no—
73#5041—31no—
74#5027—31no—
75#4870—31no—
76#4870—31no—
77#4870—31no—
78#4864—31no—
79#4864—31no—
80#4854—31no—
81#4848—31no—
82D3×C4⋊C8—31no—
83#4818—31no—
84#4818—31no—
85#4818—31no—
86#4818—61no—
87#4807—31no—
88#4807D311yescharacteristic, complemented
89#4791D311yescharacteristic, complemented
90#4762—31no—
91#4761—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×#634C2311yescharacteristic
96C2×C3×D12—21no—
97C2×C3×D12C2311yescharacteristic
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×Dic6—21no—
100C2×#627—21no—
101C2×#626—21no—
102C2×#626—21no—
103C2×#626—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3D411yescharacteristic
106C2×D3×Dic3D411yescharacteristic
107#3796—44no—
108C2×C32×C8C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110#3755—41no—
111#3752—21no—
112#3750—21no—
113#3750—21no—
114C4×C3⋊Dic3C2311yescharacteristic
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116#3744—41no—
117C3×#215—41no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×C4×Dic3—21no—
127C3×C4×Dic3C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C3×D3×C8—41no—
131#3724—21no—
132#3724—21no—
133Dic3⋊Dic3—21no—
134#3722—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138Dic32D411yescharacteristic
139Dic32D411yescharacteristic
140#3716—41no—
141D3×C3⋊C8—41no—
142#3246—91noSylow
143C2×#239—61no—
144C2×#237—61no—
145C2×C3×SD16—31no—
146C22×C3×C8—31no—
147C3×C4⋊Q8—31no—
148C3×C22⋊Q8—31no—
149C3×#121—31no—
150C3×C4×Q8—31no—
151#947—61no—
152#946C2×D311yescharacteristic
153Q8×Dic3C2×D311yescharacteristic
154#944—31no—
155#944—31no—
156#944—61no—
157C2×#215—31no—
158C2×#215—31no—
159C2×#215—61no—
160C2×#215C2×D311yescharacteristic
161#940—31no—
162#939—61no—
163D4×Dic3—31no—
164C2×#214—31no—
165#930—31no—
166#924—31no—
167C2×C4×Dic3—31no—
168C22×C3⋊C8—31no—
169C2×#204—31no—
170C2×#204—31no—
171C2×#204—31no—
172C2×#204—61no—
173C2×D3×C8—31no—
174C2×D3×C8C2×D311yescharacteristic
175#897—31no—
176#896—61no—
177#895—31no—
178#895—61no—
179#895C2×D311yescharacteristic
180#893—31no—
181#893—31no—
182#893—31no—
183#893—61no—
184#893—61no—
185#889—61no—
186#889—61no—
187#888—31no—
188#888—31no—
189#888C2×D311yescharacteristic
190#887—31no—
191#887—61no—
192#885—61no—
193#67⋊C4—61no—
194#878—61no—
195#877—61no—
196#874—31no—
197#872—61no—
198C42×D3—31no—
199C4×Dic6—31no—
200C4×Dic6—61no—
201C3×#106—31no—
202C3×#106—31no—
203C3×#106—31no—
204C3×C4⋊C8—31no—
205C3×#103—21no—
206C3×#103—31no—
207C3×#103C2×D311yescharacteristic
208C3×#103C2×D311yescharacteristic
209C3×#102—31no—
210#835C2×D311yescharacteristic
211#832—31no—
212#821—31no—
213#821—31no—
214#821C2×D311yescharacteristic
215#817C2×D311yescharacteristic
216#816—31no—
217Dic3⋊C8—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8—31no—
220Dic3⋊C8—31no—
221Dic3⋊C8—31no—
222Dic3⋊C8—61no—
223Dic3⋊C8C2×D311yescharacteristic
224#810—31no—
225#810—31no—
226#810—31no—
227#810—61no—
228#809—31no—
229#809—31no—
230#809—31no—
231#808—31no—
232#808—31no—
233#808C2×D311yescharacteristic
234#808C2×D311yescharacteristic
235C4⋊(C3⋊C8)—31no—
236C22×C3⋊D3—21no—
237C22×C3×D3—21no—
238C22×C3×D3C2×D411yescharacteristic
239C32×Q8—21no—
240C32×Q8—21no—
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3C2×D411yescharacteristic
246C2×C3⋊Dic3C2×D411yescharacteristic
247C4⋊(C3⋊D3)—21no—
248C4⋊(C3⋊D3)—21no—
249C4×C3⋊D3—42no—
250#634—21no—
251#634—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C3×D12—21no—
259C3×D12—21no—
260C3×D12—42no—
261C3×C4×D3—21no—
262C3×C4×D3—21no—
263C3×Dic6—42no—
264#627—42no—
265#626—42no—
266#626—42no—
267#626—42no—
268D3×Dic3—41no—
269D3×Dic3—42no—
270D3×Dic3SD1614yescomplemented
271C32×C8—21no—
272C3⋊(C3⋊C8)—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#533—91no—
276#532—91no—
277#476—91no—
278#476—91no—
279#475—31no—
280#475—91no—
281#465—31no—
282#465—91no—
283#465—91no—
284#465—91no—
285#461—91no—
286#461—91no—
287#460—91no—
288#460—91no—
289C2×C4⋊C8—91no—
290C2×C3×Q8—21no—
291C2×C3×Q8—61no—
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×Q8C22×D311yescharacteristic
294C2×C3×D4—31no—
295C2×C3×D4—61no—
296C22×C3×C4—31no—
297C2×#67—61no—
298C2×#67—61no—
299C2×#67—61no—
300C22×Dic3—31no—
301C22×Dic3—31no—
302C22×Dic3—61no—
303#239—124no—
304#237—124no—
305C2×D12—21no—
306C2×D12—31no—
307C2×D12—31no—
308C2×D12—61no—
309C2×D12—61no—
310C2×D12—61no—
311C2×D12—61no—
312C2×D12C22×D311yescharacteristic
313C2×C4×D3—31no—
314C2×C4×D3—31no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×C4×D3—121no—
319C2×C4×D3C22×D311yescharacteristic
320C2×Dic6—21no—
321C2×Dic6—31no—
322C2×Dic6—31no—
323C2×Dic6—61no—
324C2×Dic6—61no—
325C2×Dic6—61no—
326C3×SD16—121no—
327C2×C3×C8—21no—
328C2×C3×C8—31no—
329C2×C3×C8—31no—
330C2×C3×C8—121no—
331C2×C3×C8C22×D311yescharacteristic
332C2×C3×C8C22×D311yescharacteristic
333C3×C4⋊C4—21no—
334C3×C4⋊C4—31no—
335C3×C4⋊C4—31no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4—61no—
340C3×C4⋊C4C22×D311yescharacteristic
341C3×C4⋊C4C22×D311yescharacteristic
342C3×C22⋊C4—61no—
343C3×C22⋊C4—61no—
344C3×C42—31no—
345C3×C42—61no—
346#217—61no—
347#217—61no—
348#215—41no—
349#215—121no—
350#215—121no—
351#215—122no—
352#214—121no—
353(C2×D3)⋊C4—21no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—121no—
362C4⋊Dic3—21no—
363C4⋊Dic3—61no—
364C4⋊Dic3C22×D311yescharacteristic
365C4⋊Dic3C22×D311yescharacteristic
366C4⋊Dic3C22×D311yescharacteristic
367Dic3⋊C4—21no—
368Dic3⋊C4—21no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—121no—
379Dic3⋊C4—121no—
380C4×Dic3—21no—
381C4×Dic3—31no—
382C4×Dic3—31no—
383C4×Dic3—31no—
384C4×Dic3—31no—
385C4×Dic3—31no—
386C4×Dic3—31no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3C22×D311yescharacteristic
391C2×C3⋊C8—31no—
392C2×C3⋊C8—31no—
393C2×C3⋊C8—61no—
394C2×C3⋊C8—121no—
395C2×C3⋊C8C22×D311yescharacteristic
396C2×C3⋊C8C22×D311yescharacteristic
397#204—121no—
398#204—121no—
399#204—122no—
400#204—121no—
401D3×C8—41no—
402D3×C8—121no—
403C22×C32C22×D411yescharacteristic
404C2×C3⋊D3—41no—
405C2×C3⋊D3—41no—
406C2×C3⋊D3—41no—
407C2×C3×D3—21no—
408C2×C3×D3—21no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C2×C3×D3—41no—
412C2×C3×D3C2×SD1612yes—
413C32×C4—41no—
414C32×C4—41no—
415C32×C4H(5,𝔽2)11yescharacteristic
416C32×C42−1+411yescharacteristic
417C3⋊Dic3—21no—
418C3⋊Dic3—41no—
419C3⋊Dic3C2×SD1612yes—
420C3×Dic3—21no—
421C3×Dic3—21no—
422C3×Dic3—41no—
423C3×Dic3—41no—
424C3×Dic3—41no—
425C3×Dic3C2×SD1612yes—
426C2×#41—181no—
427C2×SD16—31no—
428C2×SD16—91no—
429C2×SD16—91no—
430C2×SD16—91no—
431C22×C8—31no—
432C22×C8—91no—
433C4⋊Q8—31no—
434C4⋊Q8—91no—
435C4⋊Q8—91no—
436#127—91no—
437#125—181no—
438#124—181no—
439C22⋊Q8—31no—
440C22⋊Q8—91no—
441C22⋊Q8—181no—
442#121—31no—
443#121—91no—
444#121—181no—
445C4×Q8—31no—
446C4×Q8—91no—
447C4×Q8—181no—
448C4×D4—91no—
449C4×D4—91no—
450C4×D4—181no—
451#117—181no—
452C2×C42—91no—
453#106—31no—
454#106—31no—
455#106—31no—
456#106—91no—
457C4⋊C8—31no—
458C4⋊C8—91no—
459C4⋊C8—91no—
460C4⋊C8—91no—
461#103—31no—
462#103—91no—
463#103—91no—
464#103D3211yescharacteristic
465#102—31no—
466#102—91no—
467#102—91no—
468#102—91no—
469C23×C3—31no—
470C23×C3—61no—
471C22×D3—21no—
472C22×D3—61no—
473C22×D3—61no—
474C22×D3—121no—
475C22×D3D3×D411yescharacteristic
476C3×Q8—21no—
477C3×Q8—21no—
478C3×Q8—21no—
479C3×Q8—21no—
480C3×Q8—41no—
481C3×Q8—41no—
482C3×Q8—122no—
483C3×D4—61no—
484C3×D4—61no—
485C3×D4—122no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—31no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—41no—
495C2×C3×C4—41no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4C23×D311yescharacteristic
502C2×C3×C4C23×D311yescharacteristic
503#67—122no—
504#67—122no—
505#67—122no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—34no—
512C2×Dic3—31no—
513C2×Dic3—31no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—121no—
519C2×Dic3—121no—
520C2×Dic3—122no—
521C2×Dic3D3×D411yescharacteristic
522C2×Dic3D3×D411yescharacteristic
523C2×Dic3D3×D411yescharacteristic
524D12—21no—
525D12—21no—
526D12—42no—
527D12—62no—
528D12—61no—
529D12—61no—
530D12—61no—
531D12—61no—
532D12—121no—
533D12—122no—
534D12—122no—
535D12—122no—
536C4×D3—21no—
537C4×D3—21no—
538C4×D3—34no—
539C4×D3—122no—
540C4×D3—122no—
541C4×D3—122no—
542C4×D3—121no—
543C4×D3—242no—
544Dic6—42no—
545Dic6—61no—
546Dic6—61no—
547Dic6—61no—
548Dic6—61no—
549Dic6—121no—
550Dic6—121no—
551Dic6—122no—
552Dic6—122no—
553C3×C8—21no—
554C3×C8—21no—
555C3×C8—41no—
556C3×C8—61no—
557C3×C8—61no—
558C3⋊C8—21no—
559C3⋊C8—21no—
560C3⋊C8—61no—
561C3⋊C8—61no—
562C3⋊C8—121no—
563C2×C32#53711yescharacteristic
564C2×C32C22×SD1611yescharacteristic
565C2×C32#57511yescharacteristic
566C3⋊D3—81no—
567C3×D3—22no—
568C3×D3—81no—
569#41—364no—
570C2×Q8—61no—
571C2×Q8—91no—
572C2×Q8—181no—
573C2×Q8C2×D3211yescharacteristic
574C2×D4—31no—
575C2×D4—61no—
576C2×D4—91no—
577C2×D4—181no—
578C2×D4—181no—
579C2×D4—181no—
580C22×C4—31no—
581C22×C4—91no—
582C22×C4—91no—
583C22×C4—181no—
584C22×C4—181no—
585SD16—121no—
586SD16—361no—
587SD16—361no—
588SD16—361no—
589C2×C8—31no—
590C2×C8—31no—
591C2×C8—91no—
592C2×C8—121no—
593C2×C8—361no—
594C2×C8C2×D3211yescharacteristic
595C4⋊C4—31no—
596C4⋊C4—31no—
597C4⋊C4—31no—
598C4⋊C4—61no—
599C4⋊C4—61no—
600C4⋊C4—61no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4—181no—
606C4⋊C4C2×D3211yescharacteristic
607C22⋊C4—61no—
608C22⋊C4—61no—
609C22⋊C4—181no—
610C22⋊C4—181no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C42—31no—
614C42—61no—
615C42—91no—
616C42—91no—
617C42—91no—
618C42—181no—
619C22×C3—21no—
620C22×C3—32no—
621C22×C3—61no—
622C22×C3—61no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3—121no—
626C22×C3C2×D3×D411yescharacteristic
627C22×C3C2×D3×D411yescharacteristic
628C2×D3—21no—
629C2×D3—21no—
630C2×D3—41no—
631C2×D3—41no—
632C2×D3—41no—
633C2×D3—122no—
634C2×D3—121no—
635C2×D3—121no—
636C2×D3—121no—
637C2×D3—121no—
638C2×D3—121no—
639C2×D3—121no—
640C2×D3—241no—
641C2×D3—241no—
642C2×D3D3×SD1612yes—
643C3×C4—21no—
644C3×C4—21no—
645C3×C4—32no—
646C3×C4—41no—
647C3×C4—41no—
648C3×C4—41no—
649C3×C4—41no—
650C3×C4—61no—
651C3×C4—61no—
652C3×C4—81no—
653C3×C4—81no—
654C3×C4—121no—
655C3×C4—121no—
656C3×C4—121no—
657C3×C4#100411yescharacteristic
658C3×C4#100711yescharacteristic
659C3×C4#100911yescharacteristic
660C3×C4#101011yescharacteristic
661Dic3—21no—
662Dic3—21no—
663Dic3—32no—
664Dic3—32no—
665Dic3—41no—
666Dic3—41no—
667Dic3—41no—
668Dic3—62no—
669Dic3—61no—
670Dic3—61no—
671Dic3—121no—
672Dic3—121no—
673Dic3—121no—
674Dic3—241no—
675Dic3D3×SD1612yes—
676C32#324611yescharacteristic, complemented, Sylow
677C23—31no—
678C23—61no—
679C23—181no—
680Q8—21no—
681Q8—21no—
682Q8—122no—
683Q8—181no—
684Q8—181no—
685Q8—362no—
686D4—61no—
687D4—61no—
688D4—122no—
689D4—181no—
690D4—181no—
691D4—362no—
692D4—362no—
693D4—362no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—31no—
697C2×C4—31no—
698C2×C4—31no—
699C2×C4—61no—
700C2×C4—61no—
701C2×C4—61no—
702C2×C4—61no—
703C2×C4—61no—
704C2×C4—94no—
705C2×C4—91no—
706C2×C4—91no—
707C2×C4—181no—
708C2×C4—362no—
709C2×C4—361no—
710C2×C4—362no—
711C2×C4C22×D3211yescharacteristic
712C8—21no—
713C8—61no—
714C8—61no—
715C8—181no—
716C2×C3—21no—
717C2×C3—21no—
718C2×C3—21no—
719C2×C3—62no—
720C2×C3—241no—
721C2×C3#559711yescharacteristic
722C2×C3#562911yescharacteristic
723C2×C3C2×D3×SD1611yescharacteristic
724C2×C3C2×D3×SD1611yescharacteristic
725C2×C3#576811yescharacteristic
726C2×C3#577711yescharacteristic
727D3—22no—
728D3—81no—
729D3—242no—
730D3—241no—
731D3—241no—
732C22—32no—
733C22—61no—
734C22—61no—
735C22—121no—
736C22—121no—
737C22—121no—
738C22—361no—
739C22—361no—
740C22—361no—
741C22D32×D411yescharacteristic
742C4—32no—
743C4—41no—
744C4—41no—
745C4—61no—
746C4—61no—
747C4—92no—
748C4—121no—
749C4—121no—
750C4—121no—
751C4—181no—
752C4—361no—
753C4#6429711yescharacteristic
754C4#6431411yescharacteristic
755C3—21no—
756C3#8064011yescharacteristic, complemented
757C3#8100211yescharacteristic, complemented
758C2—62no—
759C2—241no—
760C2—721no—
761C2#1059405911yescharacteristic
762C2D32×SD1611yescharacteristic
763C2#1059476311yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radical#10594369C2
hypercenter#103D32
hypocenterC32#3246
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
1. #10595367C2semidirect
3. #10592517C2semidirect
4. C3×#4807C2semidirect
5. C3×#4791C2semidirect
6. #10591617C2semidirect
7. #10591585C2semidirect
8. #10591569C2semidirect
9. #10590879C2semidirect
10. #10590830C2semidirect
11. #10590776C2semidirect
12. D3×Dic3⋊C8C2semidirect
13. #10590578C2semidirect
14. #10590487C2semidirect
15. #10590433C2semidirect
88. #4807D3semidirect
89. #4791D3semidirect
270. D3×Dic3SD16semidirect
676. C32#3246semidirect
756. C3#80640semidirect
757. C3#81002semidirect

Maximal subgroups

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

subgroupindex
#105953672
#105943692
#105925172
C3×#48072
C3×#47912
#105916172
#105915852
#105915692
#105908792
#105908302
#105907762
D3×Dic3⋊C82
#105905782
#105904872
#105904332
#810023
#806403