Finite Group Databasebeta

← #11895955

Subgroups — #11895955

Order 1152.

828 conjugacy classes of subgroups.

The subgroup lattice has 753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5569C211yesmaximal, characteristic, complemented
2#10593902C211yesmaximal, characteristic
3#10592726C211yesmaximal, characteristic, complemented
4C3×#5026C211yesmaximal, characteristic, complemented
5#10591617C211yesmaximal, characteristic, complemented
6#10591617C211yesmaximal, characteristic, complemented
7#10591540C211yesmaximal, characteristic, complemented
8#10591536C211yesmaximal, characteristic, complemented
9#10590550C211yesmaximal, characteristic, complemented
10#10590548C211yesmaximal, characteristic, complemented
11#10590468C211yesmaximal, characteristic, complemented
12#10590464C211yesmaximal, characteristic, complemented
13#10590282C211yesmaximal, characteristic, complemented
14#10590270C211yesmaximal, characteristic, complemented
15#10590251C211yesmaximal, characteristic, complemented
16#83690—31nomaximal
17#79752—31nomaximal
18C2×#3799—21no—
19C32×C4×Q8C2211yescharacteristic
20C2×#3755C2211yescharacteristic
21C2×#3755C2211yescharacteristic
22#64083C2211yescharacteristic
23C3×Q8×Dic3C2211yescharacteristic
24C3×Q8×Dic3C2211yescharacteristic
25C2×C3×#215C2211yescharacteristic
26C3×#890—21no—
27C3×#890C2211yescharacteristic
28C3×#888—21no—
29C3×#888C2211yescharacteristic
30C3×C4×D12C2211yescharacteristic
31C3×#870—21no—
32C3×#870C2211yescharacteristic
33C3×C4×Dic6—21no—
34C3×C4×Dic6C2211yescharacteristic
35#63911C2211yescharacteristic
36#63911C2211yescharacteristic
37#63910—21no—
38#63910—21no—
39#63909—21no—
40#63894C2211yescharacteristic
41#63894C2211yescharacteristic
42#63636C2211yescharacteristic
43#63636C2211yescharacteristic
44C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
45C3×#835C2211yescharacteristic
46C3×#809C2211yescharacteristic
47C3×#807C2211yescharacteristic
48C3×#803C2211yescharacteristic
49#63576C2211yescharacteristic
50#63574C2211yescharacteristic
51Dic3⋊(C3⋊C8)C2211yescharacteristic
52Dic3⋊(C3⋊C8)C2211yescharacteristic
53#63564C2211yescharacteristic
54#63564C2211yescharacteristic
55#63564C2211yescharacteristic
56#63564C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#557—31no—
62#5577—31no—
63#5569D311yescharacteristic, complemented
64#5553—31no—
65C3×#440—31no—
66#5163—31no—
67#5163—31no—
68#5088—31no—
69#5087—31no—
70#5067—31no—
71#5067—31no—
72#5066—31no—
73#5066—31no—
74#5027—31no—
75#5027—31no—
76#5027—31no—
77#5027—31no—
78#5027—61no—
79#5026—31no—
80#5026D311yescharacteristic, complemented
81C4×#215—31no—
82#5024—31no—
83#5009—31no—
84#4891—31no—
85#4890—31no—
86#4817—31no—
87#4788—31no—
88#4764—31no—
89#4760—31no—
90#4713—31no—
91#4701—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4⋊(C3⋊D3)—21no—
94C2×C4⋊(C3⋊D3)—21no—
95C2×C4⋊(C3⋊D3)C2311yescharacteristic
96C2×C4⋊(C3⋊D3)C2311yescharacteristic
97C2×C3×D12C2311yescharacteristic
98C2×C3×C4×D3—21no—
99C2×C3×Dic6—21no—
100C2×C3×Dic6D411yescharacteristic
101C2×#626—21no—
102C2×#626—21no—
103C2×#626—21no—
104C2×#626—21no—
105C2×#624—21no—
106C2×#624—21no—
107#3799—44no—
108C32×C4⋊C4—21no—
109C32×C4⋊C4C2311yescharacteristic
110C32×C42—21no—
111C32×C42C2311yescharacteristic
112#3755—22no—
113#3755—22no—
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C3×#215—22no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3D411yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
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#3722—21no—
138#3722—21no—
139#3368—91noSylow
140C2×#239—61no—
141C2×#235—61no—
142C2×C3×SD16—31no—
143C3×C4⋊Q8—31no—
144C3×C4⋊Q8—61no—
145C3×#125—31no—
146C3×#125—31no—
147C3×#125—61no—
148C3×#125—61no—
149C3×C4×Q8—21no—
150C3×C4×Q8—31no—
151C3×C4×Q8—31no—
152C3×C4×Q8—31no—
153C3×C4×Q8—61no—
154C3×C4×Q8C2×D311yescharacteristic
155C3×C4×Q8C2×D311yescharacteristic
156C3×C4×D4—31no—
157Q8×Dic3C2×D311yescharacteristic
158Q8×Dic3C2×D311yescharacteristic
159C2×#215—31no—
160C2×#215—31no—
161C2×#215—31no—
162C2×#215—31no—
163C2×#215—61no—
164C2×#215—61no—
165C2×#215C2×D311yescharacteristic
166#940—31no—
167#940—31no—
168#930—61no—
169#895—61no—
170#895—61no—
171#895—61no—
172#893—31no—
173#893—31no—
174#890—21no—
175#890C2×D311yescharacteristic
176#888—21no—
177#888C2×D311yescharacteristic
178#884—61no—
179#884—61no—
180#874—31no—
181#874—31no—
182#874—31no—
183#874—31no—
184#874—61no—
185C4×D12—31no—
186C4×D12—31no—
187C4×D12C2×D311yescharacteristic
188#870—21no—
189#870C2×D311yescharacteristic
190C4×Dic6—21no—
191C4×Dic6C2×D311yescharacteristic
192C3×#107—31no—
193C3×#103—31no—
194C3×#102—31no—
195C3×#97—31no—
196#835C2×D311yescharacteristic
197#832—31no—
198#832—31no—
199#821—31no—
200#821—31no—
201#821—31no—
202#821—31no—
203#815—31no—
204Dic3⋊C8—31no—
205Dic3⋊C8—31no—
206C8×Dic3—31no—
207#809—31no—
208#809—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#809—61no—
219#809C2×D311yescharacteristic
220#808—31no—
221#808—31no—
222#807—31no—
223#807—31no—
224#807C2×D311yescharacteristic
225C4⋊(C3⋊C8)—31no—
226C4⋊(C3⋊C8)—31no—
227C4⋊(C3⋊C8)—31no—
228C4⋊(C3⋊C8)—31no—
229C4⋊(C3⋊C8)—61no—
230#803—31no—
231#803C2×D311yescharacteristic
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
243C4⋊(C3⋊D3)—21no—
244C4⋊(C3⋊D3)—21no—
245C4⋊(C3⋊D3)—21no—
246C4⋊(C3⋊D3)—21no—
247C4⋊(C3⋊D3)—42no—
248C4⋊(C3⋊D3)—81no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C3×D12—21no—
257C3×D12—21no—
258C3×C4×D3—42no—
259C3×Dic6—22no—
260C3×Dic6—42no—
261#626—42no—
262#626—42no—
263#626—81no—
264#626—81no—
265#624—42no—
266#624—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—91no—
280#460—91no—
281#460—91no—
282#446—91no—
283#440—31no—
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—
292C22×C3×C4—61no—
293C2×#67—61no—
294C2×#67—61no—
295C2×#67—61no—
296C2×#67—61no—
297#239—124no—
298#235—124no—
299C2×D12—31no—
300C2×D12—31no—
301C2×D12—31no—
302C2×D12—31no—
303C2×D12—61no—
304C2×D12—61no—
305C2×D12—61no—
306C2×D12—61no—
307C2×D12—61no—
308C2×D12—61no—
309C2×D12—61no—
310C2×D12—61no—
311C2×D12—61no—
312C2×D12—61no—
313C2×D12—121no—
314C2×D12—121no—
315C2×D12C22×D311yescharacteristic
316C2×C4×D3—21no—
317C2×C4×D3—61no—
318C2×C4×D3—61no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×Dic6—21no—
322C2×Dic6#6711yescharacteristic
323C3×SD16—62no—
324C2×C3×C8—31no—
325C2×C3×C8—31no—
326C3×C4⋊C4—21no—
327C3×C4⋊C4—21no—
328C3×C4⋊C4—21no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—31no—
333C3×C4⋊C4—31no—
334C3×C4⋊C4—31no—
335C3×C4⋊C4—41no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4—61no—
340C3×C4⋊C4—61no—
341C3×C4⋊C4—61no—
342C3×C4⋊C4—61no—
343C3×C4⋊C4C22×D311yescharacteristic
344C3×C4⋊C4C22×D311yescharacteristic
345C3×C22⋊C4—61no—
346C3×C42—21no—
347C3×C42—21no—
348C3×C42—21no—
349C3×C42—31no—
350C3×C42—31no—
351C3×C42—41no—
352C3×C42—61no—
353C3×C42—61no—
354C3×C42C22×D311yescharacteristic
355C3×C42C22×D311yescharacteristic
356#215—22no—
357#215—62no—
358#215—62no—
359#215—62no—
360#215—62no—
361#215—122no—
362#215—122no—
363(C2×D3)⋊C4—21no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—61no—
366(C2×D3)⋊C4—61no—
367(C2×D3)⋊C4—61no—
368C4⋊Dic3—21no—
369C4⋊Dic3—21no—
370C4⋊Dic3—21no—
371C4⋊Dic3#6711yescharacteristic
372C4⋊Dic3C22×D311yescharacteristic
373C4⋊Dic3C22×D311yescharacteristic
374C4⋊Dic3C22×D311yescharacteristic
375Dic3⋊C4—21no—
376Dic3⋊C4—21no—
377Dic3⋊C4—21no—
378Dic3⋊C4—21no—
379Dic3⋊C4#6711yescharacteristic
380Dic3⋊C4#6711yescharacteristic
381C4×Dic3—21no—
382C4×Dic3—21no—
383C4×Dic3C22×D311yescharacteristic
384C4×Dic3C22×D311yescharacteristic
385C2×C3⋊C8—31no—
386C2×C3⋊C8—31no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—31no—
389C2×C3⋊C8—61no—
390C2×C3⋊C8—61no—
391C2×C3⋊C8C22×D311yescharacteristic
392C2×C3⋊C8C22×D311yescharacteristic
393C22×C32C22×D411yescharacteristic
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—
402C2×C3×D3—41no—
403C32×C4—21no—
404C32×C4—22no—
405C32×C4—21no—
406C32×C4—41no—
407C32×C4C2×#4111yescharacteristic
408C32×C42−1+411yescharacteristic
409C3×Dic3—21no—
410C3×Dic3—21no—
411C3×Dic3—21no—
412C3×Dic3—41no—
413C3×Dic3—41no—
414C3×Dic3—41no—
415C3×Dic3AGL(1,ℤ/8)12yes—
416C2×#41—181no—
417C2×SD16—31no—
418C2×SD16—91no—
419C2×SD16—91no—
420C4⋊Q8—31no—
421C4⋊Q8—61no—
422#127—91no—
423#127—91no—
424#127—91no—
425#125—31no—
426#125—31no—
427#125—61no—
428#125—61no—
429#121—181no—
430#121—181no—
431#121—181no—
432C4×Q8—31no—
433C4×Q8—31no—
434C4×Q8—31no—
435C4×Q8—61no—
436C4×Q8D3211yescharacteristic
437C4×D4—31no—
438C4×D4—91no—
439C4×D4—91no—
440#107—31no—
441#107—91no—
442#106—91no—
443C4⋊C8—91no—
444C4⋊C8—91no—
445C4⋊C8—91no—
446#103—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#102—91no—
456#97—31no—
457#97—91no—
458C4×C8—91no—
459C23×C3—61no—
460C22×D3—21no—
461C22×D3—61no—
462C22×D3—61no—
463C22×D3—61no—
464C22×D3—61no—
465C22×D3—121no—
466C22×D3—121no—
467C3×Q8—21no—
468C3×Q8—21no—
469C3×Q8—22no—
470C3×Q8—41no—
471C3×Q8—62no—
472C3×Q8—122no—
473C3×Q8#23512yescomplemented
474C3×Q8#23912yescomplemented
475C3×D4—61no—
476C3×D4—61no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—31no—
485C2×C3×C4—31no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—41no—
489C2×C3×C4—41no—
490C2×C3×C4—61no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4—122no—
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—21no—
507C2×Dic3C2×#6711yescharacteristic
508C2×Dic3C2×#6711yescharacteristic
509C2×Dic3C2×#6711yescharacteristic
510C2×Dic3C2×#6711yescharacteristic
511D12—21no—
512D12—21no—
513D12—61no—
514D12—61no—
515D12—61no—
516D12—61no—
517D12—61no—
518D12—61no—
519D12—61no—
520D12—61no—
521D12—121no—
522D12—121no—
523D12—121no—
524D12—121no—
525D12—122no—
526D12—122no—
527D12—122no—
528D12—122no—
529D12—242no—
530D12—241no—
531D12—241no—
532D12—242no—
533D12—241no—
534D12—241no—
535C4×D3—42no—
536C4×D3—122no—
537C4×D3—122no—
538C4×D3—122no—
539C4×D3—122no—
540Dic6—22no—
541Dic6—42no—
542C3×C8—61no—
543C3×C8—61no—
544C3⋊C8—21no—
545C3⋊C8—21no—
546C3⋊C8—61no—
547C3⋊C8—61no—
548C3⋊C8—61no—
549C3⋊C8—61no—
550C3⋊C8—121no—
551C3⋊C8—121no—
552C2×C32#54811yescharacteristic
553C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
554C2×C32#57711yescharacteristic
555C3⋊D3—81no—
556C3⋊D3—81no—
557C3×D3—81no—
558#41—364no—
559C2×Q8—31no—
560C2×Q8—61no—
561C2×Q8C2×D3211yescharacteristic
562C2×D4—31no—
563C2×D4—91no—
564C2×D4—91no—
565C2×D4—181no—
566C2×D4—181no—
567C2×D4—181no—
568C2×D4—181no—
569C2×D4—181no—
570C2×D4—181no—
571C22×C4—61no—
572C22×C4—181no—
573C22×C4—181no—
574SD16—62no—
575SD16—182no—
576SD16—182no—
577C2×C8—31no—
578C2×C8—31no—
579C2×C8—91no—
580C2×C8—91no—
581C4⋊C4—21no—
582C4⋊C4—31no—
583C4⋊C4—31no—
584C4⋊C4—31no—
585C4⋊C4—31no—
586C4⋊C4—31no—
587C4⋊C4—31no—
588C4⋊C4—61no—
589C4⋊C4—61no—
590C4⋊C4—61no—
591C4⋊C4—61no—
592C4⋊C4—61no—
593C4⋊C4—61no—
594C4⋊C4—61no—
595C4⋊C4C2×D3211yescharacteristic
596C22⋊C4—61no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C42—21no—
600C42—31no—
601C42—31no—
602C42—61no—
603C42—61no—
604C42C2×D3211yescharacteristic
605C22×C3—21no—
606C22×C3—121no—
607C22×C3—121no—
608C22×C3—121no—
609C22×C3C2×D3×D411yescharacteristic
610C22×C3C22×#6711yescharacteristic
611C2×D3—41no—
612C2×D3—41no—
613C2×D3—41no—
614C2×D3—121no—
615C2×D3—121no—
616C2×D3—121no—
617C2×D3—121no—
618C2×D3—121no—
619C2×D3—121no—
620C2×D3—121no—
621C2×D3—121no—
622C2×D3—121no—
623C2×D3—121no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—241no—
627C2×D3—241no—
628C2×D3—241no—
629C2×D3—241no—
630C2×D3—241no—
631C2×D3—241no—
632C3×C4—22no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—22no—
636C3×C4—22no—
637C3×C4—21no—
638C3×C4—21no—
639C3×C4—21no—
640C3×C4—21no—
641C3×C4—32no—
642C3×C4—41no—
643C3×C4—42no—
644C3×C4—41no—
645C3×C4—41no—
646C3×C4—61no—
647C3×C4—61no—
648C3×C4—61no—
649C3×C4—81no—
650C3×C4—121no—
651C3×C4—121no—
652C3×C4—121no—
653C3×C4C2×#23511yescharacteristic
654C3×C4C2×#23911yescharacteristic
655C3×C4#100711yescharacteristic
656C3×C4#101011yescharacteristic
657Dic3—21no—
658Dic3—21no—
659Dic3—21no—
660Dic3—41no—
661Dic3—41no—
662Dic3—41no—
663Dic3#94912yes—
664C32#336811yescharacteristic, complemented, Sylow
665C23—61no—
666C23—181no—
667C23—181no—
668Q8—21no—
669Q8—62no—
670Q8—122no—
671Q8#379912yescomplemented
672D4—61no—
673D4—61no—
674D4—181no—
675D4—181no—
676D4—181no—
677D4—181no—
678D4—362no—
679D4—362no—
680D4—362no—
681D4—721no—
682D4—721no—
683D4—721no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—31no—
687C2×C4—31no—
688C2×C4—31no—
689C2×C4—31no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—122no—
694C2×C4—362no—
695C2×C4—362no—
696C2×C4D3×#6711yescharacteristic
697C2×C4D3×#6711yescharacteristic
698C2×C4C22×D3211yescharacteristic
699C8—61no—
700C8—61no—
701C8—181no—
702C8—181no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—241no—
707C2×C3#555211yescharacteristic
708C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
709C2×C3#577811yescharacteristic
710C2×C3#581711yescharacteristic
711C2×C3C2×#94911yescharacteristic
712C2×C3#583711yescharacteristic
713D3—81no—
714D3—241no—
715D3—241no—
716D3—241no—
717D3—241no—
718D3—481no—
719D3—481no—
720C22—121no—
721C22—121no—
722C22—121no—
723C22—361no—
724C22—361no—
725C22—361no—
726C22—361no—
727C22—361no—
728C22—361no—
729C22C2×D3×#6711yescharacteristic
730C4—22no—
731C4—21no—
732C4—21no—
733C4—32no—
734C4—41no—
735C4—61no—
736C4—61no—
737C4—61no—
738C4—121no—
739C4—121no—
740C4—121no—
741C4#6429711yescharacteristic
742C4C2×#379911yescharacteristic
743C3—21no—
744C3#7975211yescharacteristic, complemented
745C3#8369011yescharacteristic, complemented
746C2—241no—
747C2—721no—
748C2—721no—
749C2#1059490211yescharacteristic
750C2#1059531911yescharacteristic
751C2D3×#94911yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×Q8C22
socleC22×C32C22×D4
prime radical#10593902C2
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. #10592726C2semidirect
4. C3×#5026C2semidirect
5. #10591617C2semidirect
6. #10591617C2semidirect
7. #10591540C2semidirect
8. #10591536C2semidirect
9. #10590550C2semidirect
10. #10590548C2semidirect
11. #10590468C2semidirect
12. #10590464C2semidirect
13. #10590282C2semidirect
14. #10590270C2semidirect
15. #10590251C2semidirect
63. #5569D3semidirect
80. #5026D3semidirect
237. C32×Q8#41semidirect
473. C3×Q8#235semidirect
474. C3×Q8#239semidirect
664. C32#3368semidirect
671. Q8#3799semidirect
744. C3#79752semidirect
745. C3#83690semidirect

Maximal subgroups

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

subgroupindex
C3×#55692
#105939022
#105927262
C3×#50262
#105916172
#105915402
#105915362
#105905502
#105905482
#105904682
#105904642
#105902822
#105902702
#105902512
#836903
#797523