Finite Group Databasebeta

← #11895957

Subgroups — #11895957

Order 1152.

824 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5569C211yesmaximal, characteristic, complemented
2#10593900C211yesmaximal, characteristic
3#10592725C211yesmaximal, characteristic, complemented
4C3×#5027C211yesmaximal, characteristic, complemented
5#10591617C211yesmaximal, characteristic, complemented
6#10591617C211yesmaximal, characteristic, complemented
7#10591566C211yesmaximal, characteristic, complemented
8Dic3×#215C211yesmaximal, characteristic, complemented
9#10590550C211yesmaximal, characteristic, complemented
10#10590548C211yesmaximal, characteristic, complemented
11#10590467C211yesmaximal, characteristic, complemented
12#10590463C211yesmaximal, characteristic, complemented
13#10590308C211yesmaximal, characteristic, complemented
14#10590279C211yesmaximal, characteristic, complemented
15#10590252C211yesmaximal, characteristic, complemented
16#83690—31nomaximal
17#80372—31nomaximal
18C2×#3796—21no—
19C32×C4×Q8C2211yescharacteristic
20C2×#3755C2211yescharacteristic
21C4×C4⋊(C3⋊D3)C2211yescharacteristic
22C3×Q8×Dic3C2211yescharacteristic
23C3×Q8×Dic3C2211yescharacteristic
24C2×C3×#215C2211yescharacteristic
25C2×C3×#215C2211yescharacteristic
26C3×#890—21no—
27C3×#890C2211yescharacteristic
28C3×#888—21no—
29C3×#888C2211yescharacteristic
30C3×#874C2211yescharacteristic
31C3×#870—21no—
32C3×#870C2211yescharacteristic
33C3×C4×Dic6—21no—
34C3×C4×Dic6C2211yescharacteristic
35#63916—21no—
36#63911C2211yescharacteristic
37#63911C2211yescharacteristic
38Dic3×D12C2211yescharacteristic
39Dic3×D12C2211yescharacteristic
40#63886—21no—
41#63886—21no—
42#63662C2211yescharacteristic
43#63636C2211yescharacteristic
44#63634C2211yescharacteristic
45#63630C2211yescharacteristic
46C3×#809C2211yescharacteristic
47C3×#809C2211yescharacteristic
48C3×C4⋊(C3⋊C8)C2211yescharacteristic
49#63575C2211yescharacteristic
50#63573C2211yescharacteristic
51Dic3⋊(C3⋊C8)C2211yescharacteristic
52Dic3⋊(C3⋊C8)C2211yescharacteristic
53#63564C2211yescharacteristic
54#63564C2211yescharacteristic
55#63562C2211yescharacteristic
56#63562C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#557—31no—
62#5718—31no—
63#5577—31no—
64#5569D311yescharacteristic, complemented
65C3×#460—31no—
66#5164—31no—
67#5163—31no—
68#5163—31no—
69Dic3×SD16—31no—
70#5088—31no—
71#5087—31no—
72#5071—31no—
73#5067—31no—
74#5067—31no—
75#5066—31no—
76#5066—31no—
77#5027—31no—
78#5027—31no—
79#5027D311yescharacteristic, complemented
80#5026—31no—
81#5026—31no—
82#5026—31no—
83#5026—61no—
84C4×#215—31no—
85#5024—31no—
86#4847—31no—
87#4828—31no—
88#4764—31no—
89#4763—31no—
90#4760—31no—
91#4759—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×C3×D12—21no—
96C2×C3×D12—21no—
97C2×C3×D12C2311yescharacteristic
98C2×C3×D12C2311yescharacteristic
99C2×C3×Dic6—21no—
100C2×C3×Dic6D411yescharacteristic
101C2×#626—21no—
102C2×#626—21no—
103C2×#626—21no—
104C2×#626—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107#3796—44no—
108C32×C4⋊C4—21no—
109C32×C4⋊C4C2311yescharacteristic
110C32×C42—21no—
111C32×C42C2311yescharacteristic
112#3755—22no—
113#3752—21no—
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×#215—22no—
118C3×#215—22no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3—21no—
122C3×C4⋊Dic3D411yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×Dic3⋊C4—21no—
126C3×Dic3⋊C4—21no—
127C3×Dic3⋊C4—21no—
128C3×Dic3⋊C4—21no—
129C3×Dic3⋊C4D411yescharacteristic
130C3×Dic3⋊C4D411yescharacteristic
131C3×C4×Dic3—21no—
132C3×C4×Dic3—21no—
133C3×C4×Dic3C2311yescharacteristic
134C3×C4×Dic3C2311yescharacteristic
135C2×C3×C3⋊C8C2311yescharacteristic
136C2×C3×C3⋊C8C2311yescharacteristic
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139#3368—91noSylow
140C2×#239—61no—
141C2×#237—61no—
142C2×C3×SD16—31no—
143C2×C3×SD16—31no—
144C3×C4⋊Q8—31no—
145C3×C4⋊Q8—61no—
146C3×#127—31no—
147C3×#125—31no—
148C3×#125—31no—
149C3×#125—61no—
150C3×#125—61no—
151C3×C4×Q8—21no—
152C3×C4×Q8—31no—
153C3×C4×Q8—31no—
154C3×C4×Q8—31no—
155C3×C4×Q8—61no—
156C3×C4×Q8C2×D311yescharacteristic
157C3×C4×Q8C2×D311yescharacteristic
158Q8×Dic3C2×D311yescharacteristic
159Q8×Dic3C2×D311yescharacteristic
160C2×#215—31no—
161C2×#215—31no—
162C2×#215—61no—
163C2×#215C2×D311yescharacteristic
164C2×#215C2×D311yescharacteristic
165#940—31no—
166#940—31no—
167#939—61no—
168#939—61no—
169#938—61no—
170D4×Dic3—31no—
171D4×Dic3—31no—
172#895—61no—
173#895—61no—
174#895—61no—
175#890—21no—
176#890C2×D311yescharacteristic
177#888—21no—
178#888C2×D311yescharacteristic
179#874—31no—
180#874—31no—
181#874C2×D311yescharacteristic
182C4×D12—31no—
183C4×D12—31no—
184C4×D12—31no—
185C4×D12—31no—
186C4×D12—61no—
187#870—21no—
188#870C2×D311yescharacteristic
189C4×Dic6—21no—
190C4×Dic6C2×D311yescharacteristic
191C3×C4⋊C8—31no—
192C3×#102—31no—
193C3×#102—31no—
194#835—31no—
195#835—31no—
196#835—61no—
197#832—31no—
198#832—31no—
199#832—31no—
200#832—31no—
201#821—31no—
202#821—31no—
203#818—31no—
204#817—31no—
205#815—31no—
206Dic3⋊C8—31no—
207Dic3⋊C8—31no—
208C8×Dic3—31no—
209#809—31no—
210#809—31no—
211#809—31no—
212#809—31no—
213#809—31no—
214#809—31no—
215#809—31no—
216#809—31no—
217#809—61no—
218#809C2×D311yescharacteristic
219#809C2×D311yescharacteristic
220#808—31no—
221#807—31no—
222#807—31no—
223#807—31no—
224#807—61no—
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—
233C22×C3⋊D3—21no—
234C22×C3×D3—21no—
235C22×C3×D3—21no—
236C32×Q8—21no—
237C32×Q8#4112yescomplemented
238C2×C32×C4—21no—
239C2×C32×C4—21no—
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2×D411yescharacteristic
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C4⋊(C3⋊D3)—21no—
245C4⋊(C3⋊D3)—21no—
246C4×C3⋊D3—42no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3C2×D411yescharacteristic
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C3×D12—21no—
254C3×D12—21no—
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—42no—
258C3×D12—81no—
259C3×Dic6—22no—
260C3×Dic6—42no—
261#626—42no—
262#626—42no—
263#626—81no—
264#626—81no—
265D3×Dic3—42no—
266D3×Dic3—42no—
267C3⋊(C3⋊C8)—21no—
268C3⋊(C3⋊C8)—21no—
269C3×C3⋊C8—21no—
270C3×C3⋊C8—21no—
271#557—31no—
272#550—91no—
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—
286C2×C3×Q8—21no—
287C2×C3×Q8—31no—
288C2×C3×Q8—61no—
289C2×C3×Q8C22×D311yescharacteristic
290C2×C3×Q8C22×D311yescharacteristic
291C2×C3×D4—31no—
292C2×C3×D4—31no—
293C2×C3×D4—61no—
294C2×C3×D4—61no—
295C2×#67—61no—
296C2×#67—61no—
297C2×#67—61no—
298C2×#67—61no—
299C22×Dic3—61no—
300C22×Dic3—61no—
301#239—124no—
302#237—124no—
303C2×D12—21no—
304C2×D12—21no—
305C2×D12—31no—
306C2×D12—31no—
307C2×D12—61no—
308C2×D12—61no—
309C2×D12—61no—
310C2×D12—61no—
311C2×D12—61no—
312C2×D12C22×D311yescharacteristic
313C2×D12C22×D311yescharacteristic
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×C4×D3—121no—
319C2×Dic6—21no—
320C2×Dic6#6711yescharacteristic
321C3×SD16—62no—
322C3×SD16—62no—
323C2×C3×C8—31no—
324C2×C3×C8—31no—
325C3×C4⋊C4—21no—
326C3×C4⋊C4—21no—
327C3×C4⋊C4—21no—
328C3×C4⋊C4—31no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—31no—
333C3×C4⋊C4—41no—
334C3×C4⋊C4—61no—
335C3×C4⋊C4—61no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4—61no—
340C3×C4⋊C4—61no—
341C3×C4⋊C4C22×D311yescharacteristic
342C3×C4⋊C4C22×D311yescharacteristic
343C3×C42—21no—
344C3×C42—21no—
345C3×C42—21no—
346C3×C42—31no—
347C3×C42—31no—
348C3×C42—41no—
349C3×C42—61no—
350C3×C42—61no—
351C3×C42C22×D311yescharacteristic
352C3×C42C22×D311yescharacteristic
353#217—61no—
354#217—61no—
355#215—22no—
356#215—22no—
357#215—64no—
358#215—62no—
359#215—62no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—121no—
365C4⋊Dic3—21no—
366C4⋊Dic3—21no—
367C4⋊Dic3—21no—
368C4⋊Dic3—31no—
369C4⋊Dic3—31no—
370C4⋊Dic3—61no—
371C4⋊Dic3#6711yescharacteristic
372C4⋊Dic3C22×D311yescharacteristic
373C4⋊Dic3C22×D311yescharacteristic
374Dic3⋊C4—21no—
375Dic3⋊C4—21no—
376Dic3⋊C4—21no—
377Dic3⋊C4—21no—
378Dic3⋊C4#6711yescharacteristic
379Dic3⋊C4#6711yescharacteristic
380C4×Dic3—21no—
381C4×Dic3—21no—
382C4×Dic3C22×D311yescharacteristic
383C4×Dic3C22×D311yescharacteristic
384C2×C3⋊C8—31no—
385C2×C3⋊C8—31no—
386C2×C3⋊C8—31no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—61no—
389C2×C3⋊C8—61no—
390C2×C3⋊C8C22×D311yescharacteristic
391C2×C3⋊C8C22×D311yescharacteristic
392C22×C32C22×D411yescharacteristic
393C2×C3⋊D3—41no—
394C2×C3⋊D3—41no—
395C2×C3⋊D3—41no—
396C2×C3×D3—41no—
397C2×C3×D3—41no—
398C2×C3×D3—41no—
399C2×C3×D3—41no—
400C2×C3×D3—41no—
401C2×C3×D3—41no—
402C32×C4—22no—
403C32×C4—21no—
404C32×C4—21no—
405C32×C4—41no—
406C32×C4C2×#4111yescharacteristic
407C32×C42−1+411yescharacteristic
408C3⋊Dic3—41no—
409C3×Dic3—21no—
410C3×Dic3—21no—
411C3×Dic3—21no—
412C3×Dic3—41no—
413C3×Dic3—41no—
414C3×Dic3AGL(1,ℤ/8)12yes—
415C2×#41—181no—
416C2×SD16—31no—
417C2×SD16—31no—
418C2×SD16—91no—
419C4⋊Q8—31no—
420C4⋊Q8—61no—
421#127—31no—
422#127—91no—
423#127—91no—
424#125—31no—
425#125—31no—
426#125—61no—
427#125—61no—
428#121—181no—
429#121—181no—
430#121—181no—
431C4×Q8—31no—
432C4×Q8—31no—
433C4×Q8—31no—
434C4×Q8—61no—
435C4×Q8D3211yescharacteristic
436C4×D4—91no—
437C4×D4—91no—
438C4×D4—91no—
439#107—91no—
440#107—91no—
441#106—91no—
442C4⋊C8—31no—
443C4⋊C8—91no—
444C4⋊C8—91no—
445#103—91no—
446#102—31no—
447#102—31no—
448#102—91no—
449#102—91no—
450#102—91no—
451#102—91no—
452#102—91no—
453#102—91no—
454#102—91no—
455#97—91no—
456#97—91no—
457C4×C8—91no—
458C23×C3—61no—
459C23×C3—61no—
460C22×D3—21no—
461C22×D3—21no—
462C22×D3—61no—
463C22×D3—61no—
464C22×D3—121no—
465C3×Q8—21no—
466C3×Q8—21no—
467C3×Q8—22no—
468C3×Q8—41no—
469C3×Q8—62no—
470C3×Q8—122no—
471C3×Q8#23712yescomplemented
472C3×Q8#23912yescomplemented
473C3×D4—61no—
474C3×D4—61no—
475C3×D4—61no—
476C3×D4—61no—
477C3×D4—122no—
478C3×D4—241no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—31no—
489C2×C3×C4—31no—
490C2×C3×C4—41no—
491C2×C3×C4—41no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4D3×D411yescharacteristic
495C2×C3×C4D3×D411yescharacteristic
496C2×C3×C4C2×#6711yescharacteristic
497C2×C3×C4C2×#6711yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499C2×C3×C4C23×D311yescharacteristic
500#67—122no—
501#67—122no—
502#67—241no—
503#67—241no—
504C2×Dic3—21no—
505C2×Dic3—21no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—121no—
509C2×Dic3—122no—
510C2×Dic3—122no—
511C2×Dic3C2×#6711yescharacteristic
512C2×Dic3C2×#6711yescharacteristic
513C2×Dic3C2×#6711yescharacteristic
514C2×Dic3C2×#6711yescharacteristic
515D12—21no—
516D12—21no—
517D12—21no—
518D12—21no—
519D12—42no—
520D12—62no—
521D12—61no—
522D12—61no—
523D12—61no—
524D12—61no—
525D12—81no—
526D12—121no—
527D12—122no—
528D12—122no—
529D12—241no—
530D12—241no—
531C4×D3—122no—
532C4×D3—122no—
533C4×D3—122no—
534C4×D3—122no—
535C4×D3—242no—
536Dic6—22no—
537Dic6—42no—
538C3×C8—61no—
539C3×C8—61no—
540C3⋊C8—21no—
541C3⋊C8—21no—
542C3⋊C8—62no—
543C3⋊C8—61no—
544C3⋊C8—61no—
545C3⋊C8—61no—
546C3⋊C8—61no—
547C3⋊C8—121no—
548C2×C32#54811yescharacteristic
549C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
550C2×C32#57711yescharacteristic
551C3⋊D3—81no—
552C3×D3—81no—
553C3×D3—81no—
554#41—364no—
555C2×Q8—31no—
556C2×Q8—61no—
557C2×Q8C2×D3211yescharacteristic
558C2×D4—31no—
559C2×D4—31no—
560C2×D4—61no—
561C2×D4—61no—
562C2×D4—91no—
563C2×D4—181no—
564C2×D4—181no—
565C2×D4—181no—
566C2×D4—181no—
567C22×C4—181no—
568C22×C4—181no—
569C22×C4—181no—
570SD16—62no—
571SD16—62no—
572SD16—182no—
573C2×C8—31no—
574C2×C8—31no—
575C2×C8—91no—
576C2×C8—91no—
577C4⋊C4—21no—
578C4⋊C4—31no—
579C4⋊C4—31no—
580C4⋊C4—31no—
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—61no—
584C4⋊C4—61no—
585C4⋊C4—61no—
586C4⋊C4—61no—
587C4⋊C4—61no—
588C4⋊C4—61no—
589C4⋊C4—61no—
590C4⋊C4—91no—
591C4⋊C4C2×D3211yescharacteristic
592C22⋊C4—181no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C42—21no—
596C42—31no—
597C42—31no—
598C42—61no—
599C42—61no—
600C42C2×D3211yescharacteristic
601C22×C3—21no—
602C22×C3—121no—
603C22×C3—121no—
604C22×C3—121no—
605C22×C3—121no—
606C22×C3—121no—
607C22×C3—121no—
608C22×C3C2×D3×D411yescharacteristic
609C22×C3C22×#6711yescharacteristic
610C2×D3—41no—
611C2×D3—41no—
612C2×D3—41no—
613C2×D3—41no—
614C2×D3—41no—
615C2×D3—41no—
616C2×D3—122no—
617C2×D3—121no—
618C2×D3—121no—
619C2×D3—121no—
620C2×D3—121no—
621C2×D3—121no—
622C2×D3—121no—
623C2×D3—241no—
624C2×D3—241no—
625C3×C4—21no—
626C3×C4—21no—
627C3×C4—22no—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—22no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—32no—
634C3×C4—41no—
635C3×C4—41no—
636C3×C4—42no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—61no—
640C3×C4—61no—
641C3×C4—61no—
642C3×C4—81no—
643C3×C4—121no—
644C3×C4—121no—
645C3×C4C2×#23711yescharacteristic
646C3×C4C2×#23911yescharacteristic
647C3×C4#100711yescharacteristic
648C3×C4#101011yescharacteristic
649Dic3—21no—
650Dic3—21no—
651Dic3—21no—
652Dic3—41no—
653Dic3—41no—
654Dic3—121no—
655Dic3—121no—
656Dic3—241no—
657Dic3#94912yes—
658C32#336811yescharacteristic, complemented, Sylow
659C23—61no—
660C23—61no—
661C23—181no—
662Q8—21no—
663Q8—62no—
664Q8—122no—
665Q8#379612yescomplemented
666D4—61no—
667D4—61no—
668D4—61no—
669D4—61no—
670D4—122no—
671D4—181no—
672D4—181no—
673D4—241no—
674D4—362no—
675D4—362no—
676D4—721no—
677D4—721no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—31no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—181no—
687C2×C4—362no—
688C2×C4—362no—
689C2×C4—362no—
690C2×C4D3×#6711yescharacteristic
691C2×C4D3×#6711yescharacteristic
692C2×C4C22×D3211yescharacteristic
693C8—61no—
694C8—61no—
695C8—181no—
696C8—181no—
697C2×C3—21no—
698C2×C3—21no—
699C2×C3—21no—
700C2×C3—241no—
701C2×C3—241no—
702C2×C3#559811yescharacteristic
703C2×C3#576211yescharacteristic
704C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
705C2×C3#581711yescharacteristic
706C2×C3C2×#94911yescharacteristic
707C2×C3#583711yescharacteristic
708D3—81no—
709D3—81no—
710D3—242no—
711D3—241no—
712D3—241no—
713C22—121no—
714C22—121no—
715C22—121no—
716C22—121no—
717C22—121no—
718C22—121no—
719C22—361no—
720C22—361no—
721C22—361no—
722C22C2×D3×#6711yescharacteristic
723C4—22no—
724C4—21no—
725C4—21no—
726C4—32no—
727C4—41no—
728C4—61no—
729C4—61no—
730C4—61no—
731C4—121no—
732C4—121no—
733C4—361no—
734C4C2×#379611yescharacteristic
735C4#6429711yescharacteristic
736C3—21no—
737C3#8037211yescharacteristic, complemented
738C3#8369011yescharacteristic, complemented
739C2—241no—
740C2—241no—
741C2—721no—
742C2#1059490011yescharacteristic
743C2#1059531811yescharacteristic
744C2D3×#94911yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×Q8C22
socleC22×C32C22×D4
prime radical#10593900C2
hypercenterC4×Q8D32
hypocenterC32#3368
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. C3×#5569C2semidirect
3. #10592725C2semidirect
4. C3×#5027C2semidirect
5. #10591617C2semidirect
6. #10591617C2semidirect
7. #10591566C2semidirect
8. Dic3×#215C2semidirect
9. #10590550C2semidirect
10. #10590548C2semidirect
11. #10590467C2semidirect
12. #10590463C2semidirect
13. #10590308C2semidirect
14. #10590279C2semidirect
15. #10590252C2semidirect
64. #5569D3semidirect
79. #5027D3semidirect
237. C32×Q8#41semidirect
471. C3×Q8#237semidirect
472. C3×Q8#239semidirect
658. C32#3368semidirect
665. Q8#3796semidirect
737. C3#80372semidirect
738. C3#83690semidirect

Maximal subgroups

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

subgroupindex
C3×#55692
#105939002
#105927252
C3×#50272
#105916172
#105915662
Dic3×#2152
#105905502
#105905482
#105904672
#105904632
#105903082
#105902792
#105902522
#836903
#803723