Finite Group Databasebeta

← #11895943

Subgroups — #11895943

Order 1152.

819 conjugacy classes of subgroups.

The subgroup lattice has 749 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5718C211yesmaximal, characteristic
2#10593851C211yesmaximal, characteristic, complemented
3#10592770C211yesmaximal, characteristic, complemented
4C3×#5075C211yesmaximal, characteristic, complemented
5#10591487C211yesmaximal, characteristic, complemented
6#10591477C211yesmaximal, characteristic, complemented
7#10591440C211yesmaximal, characteristic, complemented
8#10591438C211yesmaximal, characteristic, complemented
9#10591438C211yesmaximal, characteristic, complemented
10Dic3×#214C211yesmaximal, characteristic, complemented
11#10591410C211yesmaximal, characteristic, complemented
12#10591409C211yesmaximal, characteristic, complemented
13#10590358C211yesmaximal, characteristic, complemented
14#10590271C211yesmaximal, characteristic, complemented
15#10590252C211yesmaximal, characteristic, complemented
16#83587—31nomaximal
17#80372—31nomaximal
18C2×C3×#237—21no—
19C32×#127C2211yescharacteristic
20#64079C2211yescharacteristic
21C3×#940C2211yescharacteristic
22C3×#940C2211yescharacteristic
23C3×#939—21no—
24C3×#939—21no—
25C3×#938—21no—
26C3×D4×Dic3C2211yescharacteristic
27C3×D4×Dic3C2211yescharacteristic
28C2×C3×#214C2211yescharacteristic
29C2×C3×#214C2211yescharacteristic
30C3×C4×D12C2211yescharacteristic
31C3×C4×Dic6C2211yescharacteristic
32C3×C4×Dic6C2211yescharacteristic
33#63918C2211yescharacteristic
34#63869C2211yescharacteristic
35#63867—21no—
36#63846—21no—
37Dic3×Dic6C2211yescharacteristic
38Dic3×Dic6C2211yescharacteristic
39#63839—21no—
40#63837—21no—
41C2×#3715C2211yescharacteristic
42#63659C2211yescharacteristic
43#63659C2211yescharacteristic
44#63659C2211yescharacteristic
45#63659C2211yescharacteristic
46#63630C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×#832C2211yescharacteristic
49C3×C4⋊(C3⋊C8)C2211yescharacteristic
50#63576C2211yescharacteristic
51#63575C2211yescharacteristic
52#63573C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63565C2211yescharacteristic
56#63563C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#550—31no—
62#5718D311yescharacteristic
63#5569—31no—
64#5567—31no—
65C3×#460—31no—
66#5164—31no—
67#5163—31no—
68#5163—31no—
69Dic3×SD16—31no—
70#5075—31no—
71#5075—31no—
72#5075D311yescharacteristic, complemented
73#5071—31no—
74#5071—31no—
75#5071—31no—
76#5071—61no—
77#5070—31no—
78#5026—31no—
79#5024—31no—
80#5018—31no—
81#5018—31no—
82C4×#214—31no—
83#5009—31no—
84#5009—31no—
85#5007—31no—
86#4847—31no—
87#4828—31no—
88#4764—31no—
89#4763—31no—
90#4760—31no—
91#4759—31no—
92C2×C32×D4—21no—
93C2×C32×D4—21no—
94C2×C32×D4C2311yescharacteristic
95C2×C32×D4C2311yescharacteristic
96C2×C3×#67—21no—
97C2×C3×#67—21no—
98C2×C3×#67—21no—
99C2×C3×#67—21no—
100C22×C3×Dic3—21no—
101C22×C3×Dic3—21no—
102C3×#237—44no—
103C2×C3×D12C2311yescharacteristic
104C2×C3×C4×D3—21no—
105C2×C3×Dic6D411yescharacteristic
106C2×C3×Dic6C2311yescharacteristic
107C2×#627—21no—
108C32×C42C2311yescharacteristic
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111#3750—21no—
112#3750—21no—
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C3×#217—21no—
116C3×#217—21no—
117C3×#214—22no—
118C3×#214—22no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3D411yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4D411yescharacteristic
125C3×Dic3⋊C4D411yescharacteristic
126C3×C4×Dic3—21no—
127C3×C4×Dic3C2311yescharacteristic
128C3×C4×Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131#3724—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3—21no—
136Dic32—21no—
137Dic32—21no—
138#3715—22no—
139#3368—91noSylow
140C2×C3×#41—61no—
141C2×#237—21no—
142C2×C3×SD16—31no—
143C2×C3×SD16—31no—
144C3×#127—21no—
145C3×#127—31no—
146C3×#127—31no—
147C3×#127C2×D311yescharacteristic
148C3×#127C2×D311yescharacteristic
149C3×#121—61no—
150C3×#121—61no—
151C3×#121—61no—
152C3×C4×Q8—31no—
153C3×C4×Q8—31no—
154C3×C4×D4—31no—
155C3×C4×D4—31no—
156C3×C4×D4—31no—
157Q8×Dic3—31no—
158Q8×Dic3—31no—
159#944—61no—
160C2×#215—31no—
161#940C2×D311yescharacteristic
162#940C2×D311yescharacteristic
163#939—21no—
164#939—21no—
165#938—21no—
166D4×Dic3C2×D311yescharacteristic
167D4×Dic3C2×D311yescharacteristic
168C2×#214—31no—
169C2×#214C2×D311yescharacteristic
170C2×#214C2×D311yescharacteristic
171#890—31no—
172#890—61no—
173#889—61no—
174#889—61no—
175#888—31no—
176#888—61no—
177#887—61no—
178C4×D12C2×D311yescharacteristic
179#870—31no—
180#870—31no—
181#870—31no—
182#870—61no—
183#870—61no—
184#869—31no—
185C4×Dic6—31no—
186C4×Dic6—31no—
187C4×Dic6—61no—
188C4×Dic6C2×D311yescharacteristic
189C4×Dic6C2×D311yescharacteristic
190C3×C4⋊C8—31no—
191C3×#102—31no—
192C3×#102—31no—
193#835—31no—
194#832—31no—
195#832—31no—
196#832—31no—
197#832—31no—
198#832—31no—
199#832—31no—
200#832—31no—
201#832—31no—
202#832—31no—
203#832—31no—
204#832—31no—
205#832—61no—
206#832—61no—
207#832—61no—
208#832—61no—
209#832C2×D311yescharacteristic
210#832C2×D311yescharacteristic
211#821—31no—
212#821—31no—
213#818—31no—
214#817—31no—
215#815—31no—
216Dic3⋊C8—31no—
217Dic3⋊C8—31no—
218C8×Dic3—31no—
219#810—31no—
220#809—31no—
221#808—31no—
222#807—31no—
223#807—31no—
224#807—31no—
225C4⋊(C3⋊C8)—31no—
226C4⋊(C3⋊C8)—31no—
227C4⋊(C3⋊C8)C2×D311yescharacteristic
228#803—31no—
229#803—31no—
230#803—31no—
231#803—61no—
232C4×C3⋊C8—31no—
233C23×C32—21no—
234C23×C32—21no—
235C22×C3×D3—21no—
236C32×D4—21no—
237C32×D4—21no—
238C32×D4—21no—
239C32×D4—21no—
240C32×D4—42no—
241C32×D4—81no—
242C2×C32×C4C2×D411yescharacteristic
243C2×C32×C4C2×D411yescharacteristic
244C2×C32×C4C2411yescharacteristic
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—21no—
247C3×#67—42no—
248C3×#67—42no—
249C3×#67—81no—
250C3×#67—81no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—42no—
255C2×C3×Dic3—42no—
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C2×C3×Dic3C2×D411yescharacteristic
260C3×D12—21no—
261C3×D12—21no—
262C3×C4×D3—42no—
263C3×Dic6—21no—
264C3×Dic6—22no—
265C3×Dic6#4112yescomplemented
266#627—42no—
267C3⋊(C3⋊C8)—21no—
268C3⋊(C3⋊C8)—21no—
269C3×C3⋊C8—21no—
270C3×C3⋊C8—21no—
271#557—91no—
272#550—31no—
273#490—91no—
274#490—91no—
275#486—91no—
276#478—91no—
277#478—91no—
278#474—91no—
279#460—31no—
280#460—91no—
281#460—91no—
282#446—91no—
283#440—91no—
284#440—91no—
285C4×SD16—91no—
286C3×#41—124no—
287C2×C3×Q8—31no—
288C2×C3×Q8—31no—
289C2×C3×D4—21no—
290C2×C3×D4—21no—
291C2×C3×D4—21no—
292C2×C3×D4—21no—
293C2×C3×D4—21no—
294C2×C3×D4—21no—
295C2×C3×D4—31no—
296C2×C3×D4—41no—
297C2×C3×D4—41no—
298C2×C3×D4—61no—
299C2×C3×D4—61no—
300C2×C3×D4—61no—
301C2×C3×D4—61no—
302C2×C3×D4C22×D311yescharacteristic
303C2×C3×D4C22×D311yescharacteristic
304C2×C3×D4C22×D311yescharacteristic
305C2×C3×D4C22×D311yescharacteristic
306C22×C3×C4—61no—
307C22×C3×C4—61no—
308C22×C3×C4—61no—
309C2×#67—21no—
310C2×#67—21no—
311C2×#67—21no—
312C2×#67—21no—
313C22×Dic3—21no—
314C22×Dic3—21no—
315#237—44no—
316C2×D12C22×D311yescharacteristic
317C2×C4×D3—21no—
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×Dic6#6711yescharacteristic
321C2×Dic6C22×D311yescharacteristic
322C3×SD16—62no—
323C3×SD16—62no—
324C2×C3×C8—31no—
325C2×C3×C8—31no—
326C3×C4⋊C4—31no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4—31no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—61no—
332C3×C22⋊C4—61no—
333C3×C22⋊C4—61no—
334C3×C22⋊C4—61no—
335C3×C42—21no—
336C3×C42—31no—
337C3×C42—31no—
338C3×C42—61no—
339C3×C42C22×D311yescharacteristic
340C3×C42C22×D311yescharacteristic
341#217—21no—
342#217—21no—
343#215—62no—
344#214—22no—
345#214—22no—
346#214—62no—
347(C2×D3)⋊C4—21no—
348C4⋊Dic3—31no—
349C4⋊Dic3—31no—
350C4⋊Dic3—31no—
351C4⋊Dic3—31no—
352C4⋊Dic3—61no—
353C4⋊Dic3—61no—
354C4⋊Dic3—61no—
355C4⋊Dic3—61no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3#6711yescharacteristic
359C4⋊Dic3C22×D311yescharacteristic
360C4⋊Dic3C22×D311yescharacteristic
361Dic3⋊C4—21no—
362Dic3⋊C4—61no—
363Dic3⋊C4—61no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—121no—
373Dic3⋊C4—121no—
374Dic3⋊C4#6711yescharacteristic
375Dic3⋊C4#6711yescharacteristic
376C4×Dic3—21no—
377C4×Dic3—61no—
378C4×Dic3—61no—
379C4×Dic3—61no—
380C4×Dic3—61no—
381C4×Dic3C22×D311yescharacteristic
382C4×Dic3C22×D311yescharacteristic
383C2×C3⋊C8—31no—
384C2×C3⋊C8—31no—
385C2×C3⋊C8—31no—
386C2×C3⋊C8—31no—
387C2×C3⋊C8—61no—
388C2×C3⋊C8—61no—
389C2×C3⋊C8C22×D311yescharacteristic
390C2×C3⋊C8C22×D311yescharacteristic
391C22×C32—41no—
392C22×C32—41no—
393C22×C32—41no—
394C22×C32—41no—
395C22×C32—41no—
396C22×C32—41no—
397C22×C32C22×D411yescharacteristic
398C2×C3×D3—41no—
399C2×C3×D3—41no—
400C2×C3×D3—41no—
401C32×C4—21no—
402C32×C4—21no—
403C32×C4C2×#4111yescharacteristic
404C32×C42−1+411yescharacteristic
405C3⋊Dic3—41no—
406C3⋊Dic3—41no—
407C3×Dic3—22no—
408C3×Dic3—21no—
409C3×Dic3—21no—
410C3×Dic3—21no—
411C3×Dic3—41no—
412C3×Dic3—41no—
413C3×Dic3AGL(1,ℤ/8)12yes—
414C2×#41—61no—
415C2×SD16—31no—
416C2×SD16—31no—
417C2×SD16—91no—
418C4⋊Q8—91no—
419C4⋊Q8—181no—
420#127—31no—
421#127—31no—
422#127D3211yescharacteristic
423#125—91no—
424#125—91no—
425#125—181no—
426#125—181no—
427#121—61no—
428#121—61no—
429#121—61no—
430C4×Q8—31no—
431C4×Q8—31no—
432C4×Q8—91no—
433C4×Q8—91no—
434C4×Q8—181no—
435C4×D4—31no—
436C4×D4—31no—
437C4×D4—31no—
438#107—91no—
439#107—91no—
440#106—91no—
441C4⋊C8—31no—
442C4⋊C8—91no—
443C4⋊C8—91no—
444#103—91no—
445#102—31no—
446#102—31no—
447#102—91no—
448#102—91no—
449#102—91no—
450#102—91no—
451#102—91no—
452#102—91no—
453#102—91no—
454#97—91no—
455#97—91no—
456C4×C8—91no—
457C23×C3—21no—
458C23×C3—21no—
459C23×C3—21no—
460C23×C3—21no—
461C23×C3—41no—
462C23×C3—41no—
463C23×C3—61no—
464C22×D3—21no—
465C3×Q8—32no—
466C3×Q8—62no—
467C3×Q8—61no—
468C3×D4—21no—
469C3×D4—21no—
470C3×D4—21no—
471C3×D4—21no—
472C3×D4—21no—
473C3×D4—21no—
474C3×D4—21no—
475C3×D4—21no—
476C3×D4—41no—
477C3×D4—41no—
478C3×D4—41no—
479C3×D4—41no—
480C3×D4—42no—
481C3×D4—42no—
482C3×D4—61no—
483C3×D4—61no—
484C3×D4—82no—
485C3×D4—81no—
486C3×D4—81no—
487C3×D4—82no—
488C3×D4—122no—
489C3×D4—122no—
490C3×D4—241no—
491C3×D4—241no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—21no—
495C2×C3×C4—31no—
496C2×C3×C4—31no—
497C2×C3×C4—31no—
498C2×C3×C4—31no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—122no—
503C2×C3×C4—122no—
504C2×C3×C4—122no—
505C2×C3×C4D3×D411yescharacteristic
506C2×C3×C4D3×D411yescharacteristic
507C2×C3×C4C2×#6711yescharacteristic
508C2×C3×C4C2×#6711yescharacteristic
509C2×C3×C4C23×D311yescharacteristic
510C2×C3×C4C23×D311yescharacteristic
511#67—42no—
512#67—42no—
513#67—81no—
514#67—81no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—21no—
518C2×Dic3—42no—
519C2×Dic3—42no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—61no—
523C2×Dic3—61no—
524C2×Dic3—121no—
525C2×Dic3—121no—
526C2×Dic3C2×#6711yescharacteristic
527C2×Dic3C2×#6711yescharacteristic
528C2×Dic3C2×#6711yescharacteristic
529C2×Dic3C2×#6711yescharacteristic
530D12—21no—
531D12—21no—
532C4×D3—42no—
533Dic6—21no—
534Dic6—22no—
535Dic6—122no—
536Dic6—122no—
537Dic6#23712yescomplemented
538C3×C8—61no—
539C3×C8—61no—
540C3⋊C8—21no—
541C3⋊C8—21no—
542C3⋊C8—61no—
543C3⋊C8—61no—
544C3⋊C8—61no—
545C3⋊C8—61no—
546C3⋊C8—121no—
547C3⋊C8—121no—
548C2×C32—81no—
549C2×C32—81no—
550C2×C32#54811yescharacteristic
551C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
552C2×C32#57711yescharacteristic
553C3×D3—81no—
554#41—124no—
555C2×Q8—31no—
556C2×Q8—31no—
557C2×Q8—181no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—31no—
561C2×D4—61no—
562C2×D4—61no—
563C2×D4—61no—
564C2×D4—61no—
565C2×D4C2×D3211yescharacteristic
566C2×D4C2×D3211yescharacteristic
567C22×C4—61no—
568C22×C4—61no—
569C22×C4—61no—
570SD16—62no—
571SD16—62no—
572SD16—182no—
573C2×C8—31no—
574C2×C8—31no—
575C2×C8—91no—
576C2×C8—91no—
577C4⋊C4—31no—
578C4⋊C4—31no—
579C4⋊C4—31no—
580C4⋊C4—31no—
581C4⋊C4—31no—
582C4⋊C4—61no—
583C4⋊C4—91no—
584C4⋊C4—91no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4—181no—
591C4⋊C4—181no—
592C22⋊C4—61no—
593C22⋊C4—61no—
594C22⋊C4—61no—
595C42—31no—
596C42—31no—
597C42—61no—
598C42—181no—
599C42—181no—
600C42C2×D3211yescharacteristic
601C22×C3—21no—
602C22×C3—41no—
603C22×C3—41no—
604C22×C3—41no—
605C22×C3—41no—
606C22×C3—41no—
607C22×C3—41no—
608C22×C3—41no—
609C22×C3—41no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—81no—
615C22×C3—81no—
616C22×C3—81no—
617C22×C3—81no—
618C22×C3—81no—
619C22×C3—81no—
620C22×C3—121no—
621C22×C3—121no—
622C22×C3—121no—
623C22×C3C2×D3×D411yescharacteristic
624C22×C3C22×#6711yescharacteristic
625C2×D3—41no—
626C2×D3—41no—
627C2×D3—41no—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—32no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4—61no—
638C3×C4—61no—
639C3×C4—61no—
640C3×C4—62no—
641C3×C4—121no—
642C3×C4—121no—
643C3×C4C2×#23711yescharacteristic
644C3×C4D3×#4111yescharacteristic
645C3×C4#101011yescharacteristic
646C3×C4#101011yescharacteristic
647Dic3—21no—
648Dic3—21no—
649Dic3—21no—
650Dic3—22no—
651Dic3—41no—
652Dic3—41no—
653Dic3—121no—
654Dic3—121no—
655Dic3—121no—
656Dic3—121no—
657Dic3—241no—
658Dic3—241no—
659Dic3#93212yes—
660C32#336811yescharacteristic, complemented, Sylow
661C23—21no—
662C23—21no—
663C23—61no—
664Q8—32no—
665Q8—62no—
666Q8—61no—
667Q8—362no—
668D4—21no—
669D4—21no—
670D4—21no—
671D4—21no—
672D4—42no—
673D4—61no—
674D4—61no—
675D4—81no—
676D4—122no—
677D4—122no—
678D4—241no—
679D4—241no—
680C2×C4—31no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—122no—
688C2×C4—122no—
689C2×C4—122no—
690C2×C4—181no—
691C2×C4—181no—
692C2×C4D3×#6711yescharacteristic
693C2×C4D3×#6711yescharacteristic
694C2×C4C22×D3211yescharacteristic
695C8—61no—
696C8—61no—
697C8—181no—
698C8—181no—
699C2×C3—21no—
700C2×C3—21no—
701C2×C3—21no—
702C2×C3—81no—
703C2×C3—81no—
704C2×C3—81no—
705C2×C3—81no—
706C2×C3—161no—
707C2×C3—161no—
708C2×C3—241no—
709C2×C3#559811yescharacteristic
710C2×C3#576211yescharacteristic
711C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
712C2×C3C2×#93211yescharacteristic
713C2×C3#583111yescharacteristic
714C2×C3#583611yescharacteristic
715D3—81no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—41no—
721C22—41no—
722C22—121no—
723C22—121no—
724C22—121no—
725C22C2×D3×#6711yescharacteristic
726C4—21no—
727C4—21no—
728C4—32no—
729C4—61no—
730C4—61no—
731C4—61no—
732C4—62no—
733C4—121no—
734C4—121no—
735C4—361no—
736C4—361no—
737C4#6430911yescharacteristic
738C4D3×#23711yescharacteristic
739C3—21no—
740C3#8037211yescharacteristic, complemented
741C3#8358711yescharacteristic, complemented
742C2—81no—
743C2—81no—
744C2—241no—
745C2D3×#93211yescharacteristic
746C2#1059510511yescharacteristic
747C2#1059515711yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#127C22
socleC22×C32C22×D4
prime radicalC3×#5718C2
hypercenter#127D32
hypocenterC32#3368
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ #127

Complements

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

NH ≅ G/Ntype
2. #10593851C2semidirect
3. #10592770C2semidirect
4. C3×#5075C2semidirect
5. #10591487C2semidirect
6. #10591477C2semidirect
7. #10591440C2semidirect
8. #10591438C2semidirect
9. #10591438C2semidirect
10. Dic3×#214C2semidirect
11. #10591410C2semidirect
12. #10591409C2semidirect
13. #10590358C2semidirect
14. #10590271C2semidirect
15. #10590252C2semidirect
72. #5075D3semidirect
265. C3×Dic6#41semidirect
537. Dic6#237semidirect
660. C32#3368semidirect
740. C3#80372semidirect
741. C3#83587semidirect

Maximal subgroups

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

subgroupindex
C3×#57182
#105938512
#105927702
C3×#50752
#105914872
#105914772
#105914402
#105914382
Dic3×#2142
#105914102
#105914092
#105903582
#105902712
#105902522
#835873
#803723