Finite Group Databasebeta

← #11882251

Subgroups — #11882251

Order 1152.

838 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
1#10595133C211yesmaximal, characteristic
2#10594385C211yesmaximal, characteristic, complemented
3#10592460C211yesmaximal, characteristic, complemented
4C3×#4778C211yesmaximal, characteristic, complemented
5C3×#4762C211yesmaximal, characteristic, complemented
6#10591499C211yesmaximal, characteristic, complemented
7#10591497C211yesmaximal, characteristic, complemented
8#10591438C211yesmaximal, characteristic, complemented
9#10590829C211yesmaximal, characteristic, complemented
10#10590803C211yesmaximal, characteristic, complemented
11#10590748C211yesmaximal, characteristic, complemented
12D3×Dic3⋊C8C211yesmaximal, characteristic, complemented
13#10590556C211yesmaximal, characteristic, complemented
14#10590501C211yesmaximal, characteristic, complemented
15#10590472C211yesmaximal, characteristic, complemented
16#80640—31nomaximal
17#80366—31nomaximal
18C2×#3805—21no—
19D4×C3⋊Dic3C2211yescharacteristic
20#64097C2211yescharacteristic
21C3×#940C2211yescharacteristic
22C3×#938C2211yescharacteristic
23C2×C3×#214C2211yescharacteristic
24C2×C3×#214C2211yescharacteristic
25C2×C3×#204C2211yescharacteristic
26C2×C3×D3×C8C2211yescharacteristic
27C3×#897C2211yescharacteristic
28C3×#887C2211yescharacteristic
29#67⋊Dic3—21no—
30#63970—21no—
31#63959—21no—
32#63918C2211yescharacteristic
33#63908C2211yescharacteristic
34#63898C2211yescharacteristic
35#63896—21no—
36#63877—21no—
37C4×D3×Dic3C2211yescharacteristic
38#63873C2211yescharacteristic
39#63856C2211yescharacteristic
40#63847—21no—
41#63844—21no—
42Dic3×Dic6C2211yescharacteristic
43C2×#3715C2211yescharacteristic
44C2×D3×C3⋊C8C2211yescharacteristic
45C32×#102C2211yescharacteristic
46#63659C2211yescharacteristic
47#63644C2211yescharacteristic
48#63641C2211yescharacteristic
49#63635C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52C3×#809C2211yescharacteristic
53C3×#808C2211yescharacteristic
54#63573C2211yescharacteristic
55#63572C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63566C2211yescharacteristic
58#63566C2211yescharacteristic
59#63565C2211yescharacteristic
60#63563C2211yescharacteristic
61#5716—31no—
62#5622—31no—
63#5596—31no—
64#5578—31no—
65C3×#465—31no—
66C3×#460—31no—
67#5171—31no—
68#5171—31no—
69#5163—31no—
70#5162—31no—
71#5162—31no—
72#5162—31no—
73#5114—31no—
74C2×Dic3⋊C8—31no—
75#5075—31no—
76#5048—31no—
77#5041—31no—
78#5020—31no—
79#4870—31no—
80#4854—31no—
81#4851—31no—
82D3×C4⋊C8—31no—
83#4818—31no—
84#4791—31no—
85#4778—31no—
86#4778D311yescharacteristic, complemented
87#4762D311yescharacteristic, complemented
88#4761—31no—
89#4761—31no—
90#4761—31no—
91#4761—61no—
92C2×C32×D4C2311yescharacteristic
93C22×C3⋊Dic3—21no—
94C2×#634—21no—
95C2×C3×#67—21no—
96C2×C3×#67—21no—
97C2×C3×#67—21no—
98C2×C3×D12C2311yescharacteristic
99C2×C3×C4×D3C2311yescharacteristic
100C2×C3×Dic6C2311yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×#627—21no—
103C2×#625—21no—
104#3805—44no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3D411yescharacteristic
107C2×D3×Dic3D411yescharacteristic
108C2×C32×C8C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110#3757—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113#3750—21no—
114C4×C3⋊Dic3C2311yescharacteristic
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C3×#217—21no—
117C3×#214—41no—
118C3×#214—41no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×C4×Dic3—21no—
124C3×C4×Dic3C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C3×#204—41no—
128C3×D3×C8—41no—
129#3724—21no—
130#3724—21no—
131#3724—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138Dic32D411yescharacteristic
139Dic32D411yescharacteristic
140#3715—41no—
141D3×C3⋊C8—41no—
142#3246—91noSylow
143C2×#237—61no—
144C2×#237—61no—
145C2×C3×SD16—31no—
146C2×C3×SD16—31no—
147C2×C3×SD16—31no—
148C22×C3×C8—31no—
149C3×#127—31no—
150C3×C22⋊Q8—31no—
151C3×#121—31no—
152C3×C4×Q8—31no—
153#946—31no—
154Q8×Dic3—31no—
155#944—31no—
156#944—31no—
157C2×#215—31no—
158#940C2×D311yescharacteristic
159#939—61no—
160#938—31no—
161#938—61no—
162#938C2×D311yescharacteristic
163#936—61no—
164D4×Dic3—31no—
165D4×Dic3—31no—
166D4×Dic3—31no—
167D4×Dic3—61no—
168D4×Dic3—61no—
169C2×#214—31no—
170C2×#214C2×D311yescharacteristic
171C2×#214C2×D311yescharacteristic
172#930—31no—
173#924—31no—
174C2×C4×Dic3—31no—
175C22×C3⋊C8—31no—
176C2×#204C2×D311yescharacteristic
177C2×D3×C8—31no—
178C2×D3×C8C2×D311yescharacteristic
179#897C2×D311yescharacteristic
180#896—61no—
181#893—31no—
182#889—61no—
183#889—61no—
184#888—31no—
185#888—31no—
186#888—31no—
187#888—61no—
188#887—61no—
189#887C2×D311yescharacteristic
190#885—61no—
191#67⋊C4—61no—
192#878—61no—
193#877—61no—
194#872—61no—
195C42×D3—31no—
196#869—31no—
197C4×Dic6—31no—
198C4×Dic6—61no—
199C3×#106—31no—
200C3×C4⋊C8—31no—
201C3×#103—31no—
202C3×#102—21no—
203C3×#102—31no—
204C3×#102C2×D311yescharacteristic
205C3×#102C2×D311yescharacteristic
206#835—31no—
207#835—31no—
208#835—31no—
209#832—31no—
210#832—31no—
211#832—31no—
212#832—61no—
213#821—31no—
214#817—31no—
215#817—31no—
216#817—31no—
217#817—61no—
218#816—31no—
219#816—31no—
220#816C2×D311yescharacteristic
221Dic3⋊C8—31no—
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8—31no—
225Dic3⋊C8—31no—
226Dic3⋊C8—61no—
227Dic3⋊C8C2×D311yescharacteristic
228#810—31no—
229#809C2×D311yescharacteristic
230#808—31no—
231#808—31no—
232#808—31no—
233#808—61no—
234#808C2×D311yescharacteristic
235C4⋊(C3⋊C8)—31no—
236C23×C32—21no—
237C22×C3×D3—21no—
238C22×C3×D3C2×D411yescharacteristic
239C32×D4—21no—
240C32×D4—21no—
241C2×C32×C4—21no—
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—42no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C2×C3⋊Dic3C2×D411yescharacteristic
248#634—42no—
249C3×#67—42no—
250C3×#67—42no—
251C3×#67—42no—
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×C4×D3—21no—
261C3×C4×D3—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266#627—42no—
267#625—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—91no—
280#475—91no—
281#465—31no—
282#465—91no—
283#465—91no—
284#465—91no—
285#461—91no—
286#461—91no—
287#460—31no—
288#460—91no—
289C2×C4⋊C8—91no—
290C2×C3×Q8—31no—
291C2×C3×Q8—31no—
292C2×C3×D4—21no—
293C2×C3×D4—31no—
294C2×C3×D4—61no—
295C2×C3×D4—61no—
296C2×C3×D4—61no—
297C2×C3×D4C22×D311yescharacteristic
298C2×C3×D4C22×D311yescharacteristic
299C22×C3×C4—31no—
300C2×#67—21no—
301C2×#67—21no—
302C2×#67—21no—
303C2×#67—61no—
304C2×#67—61no—
305C22×Dic3—31no—
306C22×Dic3—31no—
307C22×Dic3—61no—
308C22×Dic3—61no—
309C22×Dic3—61no—
310C22×Dic3—121no—
311#237—124no—
312#237—124no—
313C2×D12C22×D311yescharacteristic
314C2×C4×D3—31no—
315C2×C4×D3—31no—
316C2×C4×D3—61no—
317C2×C4×D3C22×D311yescharacteristic
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×Dic6—61no—
321C2×Dic6—61no—
322C2×Dic6—121no—
323C2×Dic6C22×D311yescharacteristic
324C2×Dic6C22×D311yescharacteristic
325C3×SD16—121no—
326C3×SD16—121no—
327C3×SD16—121no—
328C2×C3×C8—21no—
329C2×C3×C8—31no—
330C2×C3×C8—31no—
331C2×C3×C8—121no—
332C2×C3×C8C22×D311yescharacteristic
333C2×C3×C8C22×D311yescharacteristic
334C3×C4⋊C4—21no—
335C3×C4⋊C4—31no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C22⋊C4—61no—
341C3×C22⋊C4—61no—
342C3×C42—31no—
343C3×C42—61no—
344#217—21no—
345#217—61no—
346#217—61no—
347#217—61no—
348#217—61no—
349#217—61no—
350#217—121no—
351#215—121no—
352#214—41no—
353#214—41no—
354#214—121no—
355(C2×D3)⋊C4—21no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359C4⋊Dic3—21no—
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3C22×D311yescharacteristic
369Dic3⋊C4—21no—
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—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—121no—
381C4×Dic3—21no—
382C4×Dic3—31no—
383C4×Dic3—31no—
384C4×Dic3—31no—
385C4×Dic3—31no—
386C4×Dic3—31no—
387C4×Dic3—31no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3C22×D311yescharacteristic
392C2×C3⋊C8—31no—
393C2×C3⋊C8—31no—
394C2×C3⋊C8—61no—
395C2×C3⋊C8—121no—
396C2×C3⋊C8C22×D311yescharacteristic
397C2×C3⋊C8C22×D311yescharacteristic
398#204—41no—
399D3×C8—41no—
400D3×C8—121no—
401C22×C32—41no—
402C22×C32—41no—
403C22×C32—41no—
404C22×C32C22×D411yescharacteristic
405C2×C3×D3—21no—
406C2×C3×D3—21no—
407C2×C3×D3—41no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3C2×SD1612yes—
411C32×C4—41no—
412C32×C4H(5,𝔽2)11yescharacteristic
413C32×C42−1+411yescharacteristic
414C3⋊Dic3—21no—
415C3⋊Dic3—41no—
416C3⋊Dic3—41no—
417C3⋊Dic3C2×SD1612yes—
418C3×Dic3—21no—
419C3×Dic3—21no—
420C3×Dic3—41no—
421C3×Dic3—41no—
422C3×Dic3—41no—
423C3×Dic3C2×SD1612yes—
424C2×#41—181no—
425C2×SD16—31no—
426C2×SD16—31no—
427C2×SD16—31no—
428C2×SD16—91no—
429C22×C8—31no—
430C22×C8—91no—
431C4⋊Q8—91no—
432C4⋊Q8—91no—
433C4⋊Q8—91no—
434#127—31no—
435#125—181no—
436#124—181no—
437C22⋊Q8—31no—
438C22⋊Q8—91no—
439C22⋊Q8—181no—
440#121—31no—
441#121—91no—
442#121—181no—
443C4×Q8—31no—
444C4×Q8—91no—
445C4×Q8—181no—
446C4×D4—91no—
447C4×D4—91no—
448C4×D4—181no—
449#117—181no—
450C2×C42—91no—
451#106—31no—
452#106—91no—
453#106—91no—
454#106—91no—
455C4⋊C8—31no—
456C4⋊C8—91no—
457C4⋊C8—91no—
458C4⋊C8—91no—
459#103—31no—
460#103—91no—
461#103—91no—
462#103—91no—
463#102—31no—
464#102—91no—
465#102—91no—
466#102D3211yescharacteristic
467C23×C3—21no—
468C23×C3—21no—
469C23×C3—31no—
470C23×C3—41no—
471C23×C3—61no—
472C22×D3—21no—
473C22×D3D3×D411yescharacteristic
474C3×Q8—61no—
475C3×Q8—61no—
476C3×Q8—61no—
477C3×Q8—61no—
478C3×D4—22no—
479C3×D4—21no—
480C3×D4—21no—
481C3×D4—21no—
482C3×D4—21no—
483C3×D4—41no—
484C3×D4—61no—
485C3×D4—61no—
486C3×D4—122no—
487C3×D4—122no—
488C3×D4—122no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
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—42no—
504#67—42no—
505#67—42no—
506#67—122no—
507#67—122no—
508C2×Dic3—21no—
509C2×Dic3—21no—
510C2×Dic3—21no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—34no—
514C2×Dic3—31no—
515C2×Dic3—31no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—121no—
523C2×Dic3—121no—
524C2×Dic3—121no—
525C2×Dic3—122no—
526C2×Dic3—122no—
527C2×Dic3—122no—
528C2×Dic3—242no—
529C2×Dic3D3×D411yescharacteristic
530C2×Dic3D3×D411yescharacteristic
531C2×Dic3D3×D411yescharacteristic
532D12—21no—
533D12—21no—
534C4×D3—21no—
535C4×D3—21no—
536C4×D3—34no—
537C4×D3—122no—
538C4×D3—121no—
539Dic6—21no—
540Dic6—21no—
541Dic6—21no—
542Dic6—21no—
543Dic6—122no—
544Dic6—122no—
545Dic6—122no—
546Dic6—122no—
547Dic6—242no—
548C3×C8—21no—
549C3×C8—21no—
550C3×C8—41no—
551C3×C8—61no—
552C3×C8—61no—
553C3⋊C8—21no—
554C3⋊C8—21no—
555C3⋊C8—61no—
556C3⋊C8—61no—
557C3⋊C8—121no—
558C2×C32—81no—
559C2×C32#53711yescharacteristic
560C2×C32C22×SD1611yescharacteristic
561C2×C32#57511yescharacteristic
562C3×D3—22no—
563C3×D3—81no—
564#41—364no—
565C2×Q8—31no—
566C2×Q8—31no—
567C2×Q8—181no—
568C2×Q8—181no—
569C2×D4—31no—
570C2×D4—61no—
571C2×D4—61no—
572C2×D4—61no—
573C2×D4—181no—
574C2×D4C2×D3211yescharacteristic
575C22×C4—31no—
576C22×C4—91no—
577C22×C4—91no—
578C22×C4—181no—
579C22×C4—181no—
580SD16—121no—
581SD16—121no—
582SD16—121no—
583SD16—361no—
584C2×C8—31no—
585C2×C8—31no—
586C2×C8—91no—
587C2×C8—121no—
588C2×C8—361no—
589C2×C8C2×D3211yescharacteristic
590C4⋊C4—31no—
591C4⋊C4—61no—
592C4⋊C4—61no—
593C4⋊C4—91no—
594C4⋊C4—91no—
595C4⋊C4—181no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4C2×D3211yescharacteristic
602C22⋊C4—61no—
603C22⋊C4—61no—
604C22⋊C4—181no—
605C22⋊C4—181no—
606C22⋊C4—181no—
607C22⋊C4—181no—
608C42—31no—
609C42—61no—
610C42—91no—
611C42—91no—
612C42—91no—
613C42—181no—
614C22×C3—21no—
615C22×C3—32no—
616C22×C3—42no—
617C22×C3—41no—
618C22×C3—41no—
619C22×C3—41no—
620C22×C3—41no—
621C22×C3—41no—
622C22×C3—41no—
623C22×C3—61no—
624C22×C3—61no—
625C22×C3—81no—
626C22×C3—81no—
627C22×C3—121no—
628C22×C3—121no—
629C22×C3—121no—
630C22×C3C2×D3×D411yescharacteristic
631C22×C3C2×D3×D411yescharacteristic
632C2×D3—21no—
633C2×D3—21no—
634C2×D3—41no—
635C2×D3—41no—
636C2×D3—41no—
637C2×D3D3×SD1612yes—
638C3×C4—21no—
639C3×C4—21no—
640C3×C4—32no—
641C3×C4—41no—
642C3×C4—41no—
643C3×C4—61no—
644C3×C4—61no—
645C3×C4—81no—
646C3×C4—121no—
647C3×C4—121no—
648C3×C4—121no—
649C3×C4#100411yescharacteristic
650C3×C4#100411yescharacteristic
651C3×C4#101011yescharacteristic
652C3×C4#101011yescharacteristic
653Dic3—21no—
654Dic3—21no—
655Dic3—32no—
656Dic3—32no—
657Dic3—41no—
658Dic3—41no—
659Dic3—41no—
660Dic3—62no—
661Dic3—61no—
662Dic3—61no—
663Dic3—121no—
664Dic3—121no—
665Dic3—121no—
666Dic3—121no—
667Dic3—121no—
668Dic3—241no—
669Dic3—241no—
670Dic3D3×SD1612yes—
671C32#324611yescharacteristic, complemented, Sylow
672C23—21no—
673C23—31no—
674C23—61no—
675Q8—61no—
676Q8—61no—
677Q8—61no—
678Q8—61no—
679Q8—362no—
680Q8—362no—
681D4—21no—
682D4—21no—
683D4—61no—
684D4—61no—
685D4—122no—
686D4—122no—
687D4—122no—
688D4—362no—
689C2×C4—21no—
690C2×C4—31no—
691C2×C4—31no—
692C2×C4—31no—
693C2×C4—61no—
694C2×C4—61no—
695C2×C4—61no—
696C2×C4—61no—
697C2×C4—61no—
698C2×C4—94no—
699C2×C4—91no—
700C2×C4—91no—
701C2×C4—181no—
702C2×C4—181no—
703C2×C4—361no—
704C2×C4—362no—
705C2×C4—362no—
706C2×C4C22×D3211yescharacteristic
707C8—21no—
708C8—61no—
709C8—61no—
710C8—181no—
711C2×C3—21no—
712C2×C3—21no—
713C2×C3—21no—
714C2×C3—62no—
715C2×C3—82no—
716C2×C3—81no—
717C2×C3—81no—
718C2×C3—241no—
719C2×C3#559711yescharacteristic
720C2×C3#560811yescharacteristic
721C2×C3C2×D3×SD1611yescharacteristic
722C2×C3C2×D3×SD1611yescharacteristic
723C2×C3#576811yescharacteristic
724C2×C3#577311yescharacteristic
725D3—22no—
726D3—81no—
727C22—32no—
728C22—41no—
729C22—41no—
730C22—41no—
731C22—61no—
732C22—61no—
733C22—121no—
734C22—121no—
735C22—121no—
736C22D32×D411yescharacteristic
737C4—32no—
738C4—41no—
739C4—61no—
740C4—61no—
741C4—92no—
742C4—121no—
743C4—121no—
744C4—121no—
745C4—181no—
746C4—361no—
747C4—361no—
748C4#6429811yescharacteristic
749C4#6431311yescharacteristic
750C3—21no—
751C3#8036611yescharacteristic, complemented
752C3#8064011yescharacteristic, complemented
753C2—62no—
754C2—81no—
755C2—241no—
756C2#1059406011yescharacteristic
757C2#1059472911yescharacteristic
758C2D32×SD1611yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#102C22
socleC22×C32C22×D4
prime radical#10595133C2
hypercenter#102D32
hypocenterC32#3246
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
2. #10594385C2semidirect
3. #10592460C2semidirect
4. C3×#4778C2semidirect
5. C3×#4762C2semidirect
6. #10591499C2semidirect
7. #10591497C2semidirect
8. #10591438C2semidirect
9. #10590829C2semidirect
10. #10590803C2semidirect
11. #10590748C2semidirect
12. D3×Dic3⋊C8C2semidirect
13. #10590556C2semidirect
14. #10590501C2semidirect
15. #10590472C2semidirect
86. #4778D3semidirect
87. #4762D3semidirect
270. D3×Dic3SD16semidirect
671. C32#3246semidirect
751. C3#80366semidirect
752. C3#80640semidirect

Maximal subgroups

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

subgroupindex
#105951332
#105943852
#105924602
C3×#47782
C3×#47622
#105914992
#105914972
#105914382
#105908292
#105908032
#105907482
D3×Dic3⋊C82
#105905562
#105905012
#105904722
#806403
#803663