Finite Group Databasebeta

← #11872984

Subgroups — #11872984

Order 1152.

822 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593961C211yesmaximal, characteristic, complemented
2#10593890C211yesmaximal, characteristic, complemented
3#10592545C211yesmaximal, characteristic, complemented
4C3×#4845C211yesmaximal, characteristic, complemented
5C3×#4840C211yesmaximal, characteristic, complemented
6#10590966C211yesmaximal, characteristic, complemented
7#10590823C211yesmaximal, characteristic
8Dic3×Dic12C211yesmaximal, characteristic, complemented
9#10590795C211yesmaximal, characteristic, complemented
10#10590766C211yesmaximal, characteristic, complemented
11#10590745C211yesmaximal, characteristic, complemented
12#10590682C211yesmaximal, characteristic, complemented
13#10590680C211yesmaximal, characteristic, complemented
14#10590356C211yesmaximal, characteristic, complemented
15#10590283C211yesmaximal, characteristic, complemented
16#80574—31nomaximal
17#79388—31nomaximal
18C2×#3799C2211yescharacteristic
19C4×C4⋊(C3⋊D3)C2211yescharacteristic
20#64078C2211yescharacteristic
21C2×C3×Dic12C2211yescharacteristic
22C2×C3×#204C2211yescharacteristic
23C3×#875C2211yescharacteristic
24C3×#872C2211yescharacteristic
25C3×C4×Dic6C2211yescharacteristic
26#63913—21no—
27#63908C2211yescharacteristic
28#63896—21no—
29#63894C2211yescharacteristic
30Dic3×D12C2211yescharacteristic
31#63891—21no—
32D3×C4⋊Dic3C2211yescharacteristic
33#63883—21no—
34#63881—21no—
35#63880—21no—
36#63861—21no—
37#63856C2211yescharacteristic
38Dic3×Dic6C2211yescharacteristic
39Dic3×Dic6C2211yescharacteristic
40#63836—21no—
41C2×#3717C2211yescharacteristic
42C2×#3714C2211yescharacteristic
43C32×C4⋊C8C2211yescharacteristic
44#63648C2211yescharacteristic
45#63648C2211yescharacteristic
46#63645C2211yescharacteristic
47#63645C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×(C2×D3)⋊C8C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#815C2211yescharacteristic
53C3×C8×Dic3C2211yescharacteristic
54C3×C4⋊(C3⋊C8)C2211yescharacteristic
55#63575C2211yescharacteristic
56#63575C2211yescharacteristic
57#63566C2211yescharacteristic
58#63566C2211yescharacteristic
59#63566C2211yescharacteristic
60#63563C2211yescharacteristic
61#5682—31no—
62#5574—31no—
63#5534—31no—
64#5523—31no—
65C3×#464—31no—
66C3×#433—31no—
67#5187—31no—
68Dic3×Q16—31no—
69#5172—31no—
70#5164—31no—
71#5057—31no—
72#5021—31no—
73#4850—31no—
74#4846—31no—
75#4846—31no—
76#4846—61no—
77#4845D311yescharacteristic, complemented
78#4844—31no—
79#4840D311yescharacteristic, complemented
80#4817—31no—
81#4811—31no—
82#4774—31no—
83#4756—31no—
84#4736—31no—
85#4734—31no—
86#4733—31no—
87#4722—31no—
88#4710—31no—
89#4710—31no—
90C4×Dic12—31no—
91C4×D24—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×#634—21no—
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3C2311yescharacteristic
97C2×C3×Dic6C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×#626—21no—
100C2×#625—21no—
101C2×#624—21no—
102C2×#624—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105#3799—22no—
106#3799—22no—
107C2×C32×C8C2311yescharacteristic
108C2×C32×C8C2311yescharacteristic
109C32×C42C2311yescharacteristic
110#3752—21no—
111C4⋊(C3⋊Dic3)—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4D411yescharacteristic
118C3×(C2×D3)⋊C4D411yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4D411yescharacteristic
122C3×Dic3⋊C4D411yescharacteristic
123C3×C4×Dic3—21no—
124C3×C4×Dic3C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C3×Dic12—22no—
128C3×#204—22no—
129#3724—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133#3722—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138Dic32—21no—
139#3717—22no—
140#3714—22no—
141#3124—91noSylow
142C2×#239—31no—
143C2×#235—31no—
144C2×C3×Q16—31no—
145C2×C3×SD16—31no—
146C3×#124—31no—
147C3×C4×Q8—31no—
148C3×#117—31no—
149#946—31no—
150Q8×Dic3—31no—
151Q8×Dic3—31no—
152C2×#215—31no—
153#938—31no—
154D4×Dic3—31no—
155C2×#213—31no—
156#930—31no—
157C2×C4⋊Dic3—31no—
158#924—31no—
159C2×Dic12C2×D311yescharacteristic
160C2×D24—31no—
161C2×#204—31no—
162C2×#204C2×D311yescharacteristic
163#898—61no—
164#896—61no—
165#893—31no—
166#893—61no—
167#892—61no—
168D3×C4⋊C4—31no—
169D3×C4⋊C4—61no—
170D3×C4⋊C4—61no—
171#886—61no—
172#885—61no—
173#885—61no—
174#883—61no—
175#67⋊C4—61no—
176#67⋊C4—61no—
177#879—61no—
178#878—61no—
179#875C2×D311yescharacteristic
180C4×D12—31no—
181C4×D12—31no—
182C4×D12—31no—
183C4×D12—31no—
184C4×D12—61no—
185C4×D12—61no—
186#872—61no—
187#872C2×D311yescharacteristic
188#869—31no—
189#869—31no—
190#869—61no—
191C4×Dic6—31no—
192C4×Dic6—31no—
193C4×Dic6C2×D311yescharacteristic
194C3×C4⋊C8—21no—
195C3×C4⋊C8—31no—
196C3×C4⋊C8C2×D311yescharacteristic
197C3×C4⋊C8C2×D311yescharacteristic
198C3×#103—31no—
199C3×#102—31no—
200C3×C22⋊C8—31no—
201C3×C22⋊C8—31no—
202C3×#97—31no—
203C3×C4×C8—31no—
204#835—31no—
205#835—31no—
206#835—31no—
207#832—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—31no—
213#821—61no—
214#821—61no—
215#821C2×D311yescharacteristic
216(C2×D3)⋊C8C2×D311yescharacteristic
217(C2×D3)⋊C8C2×D311yescharacteristic
218#818—31no—
219#818—31no—
220#818—31no—
221#818—31no—
222#818—31no—
223#818—31no—
224#818—61no—
225#818—61no—
226#816—31no—
227#816—31no—
228#816—31no—
229#816C2×D311yescharacteristic
230#815C2×D311yescharacteristic
231C8×Dic3C2×D311yescharacteristic
232#807—31no—
233#807—31no—
234C4⋊(C3⋊C8)C2×D311yescharacteristic
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2411yescharacteristic
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—21no—
244C4⋊(C3⋊D3)—21no—
245C4⋊(C3⋊D3)#4112yes—
246C4×C3⋊D3—81no—
247#634—81no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C3×D12—21no—
255C3×D12—21no—
256C3×C4×D3—21no—
257C3×C4×D3—21no—
258C3×Dic6—21no—
259C3×Dic6—21no—
260C3×Dic6—21no—
261C3×Dic6#4112yes—
262#626—24no—
263#625—81no—
264#624—24no—
265#624—81no—
266D3×Dic3—81no—
267D3×Dic3—81no—
268C32×C8—21no—
269C32×C8—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#542—91no—
273#520—91no—
274#484—91no—
275#480—91no—
276#477—91no—
277#474—91no—
278#464—31no—
279#463—91no—
280#452—91no—
281#449—91no—
282#440—91no—
283#440—91no—
284C4×Q16—91no—
285C4×D8—91no—
286#433—31no—
287C2×C3×Q8—31no—
288C2×C3×Q8—31no—
289C2×C3×D4—31no—
290C22×C3×C4—31no—
291C2×#67—61no—
292C2×#67—61no—
293C2×#67—61no—
294C22×Dic3—61no—
295C22×Dic3—61no—
296#239—62no—
297#239—62no—
298#235—62no—
299#235—62no—
300C2×D12—31no—
301C2×D12—31no—
302C2×D12—61no—
303C2×D12—61no—
304C2×D12C22×D311yescharacteristic
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3—121no—
314C2×C4×D3C22×D311yescharacteristic
315C2×Dic6—61no—
316C2×Dic6—61no—
317C2×Dic6—121no—
318C2×Dic6C22×D311yescharacteristic
319C2×Dic6C22×D311yescharacteristic
320C3×Q16—62no—
321C3×SD16—62no—
322C2×C3×C8—21no—
323C2×C3×C8—21no—
324C2×C3×C8—31no—
325C2×C3×C8—31no—
326C2×C3×C8C22×D311yescharacteristic
327C2×C3×C8C22×D311yescharacteristic
328C2×C3×C8C22×D311yescharacteristic
329C2×C3×C8C22×D311yescharacteristic
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—31no—
333C3×C4⋊C4—61no—
334C3×C22⋊C4—31no—
335C3×C22⋊C4—31no—
336C3×C22⋊C4—61no—
337C3×C22⋊C4—61no—
338C3×C42—21no—
339C3×C42—31no—
340C3×C42—61no—
341C3×C42C22×D311yescharacteristic
342C3×C42C22×D311yescharacteristic
343#217—61no—
344#217—61no—
345#217—61no—
346#215—62no—
347#213—62no—
348(C2×D3)⋊C4—21no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—121no—
358(C2×D3)⋊C4D1211yescharacteristic
359(C2×D3)⋊C4D1211yescharacteristic
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3—121no—
375C4⋊Dic3C22×D311yescharacteristic
376Dic3⋊C4—21no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4D1211yescharacteristic
383Dic3⋊C4D1211yescharacteristic
384C4×Dic3—21no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3C22×D311yescharacteristic
390C2×C3⋊C8C22×D311yescharacteristic
391C2×C3⋊C8C22×D311yescharacteristic
392Dic12—22no—
393D24—62no—
394#204—22no—
395#204—62no—
396C22×C32C22×D411yescharacteristic
397C2×C3⋊D3—22no—
398C2×C3⋊D3—41no—
399C2×C3⋊D3—41no—
400C2×C3×D3—21no—
401C2×C3×D3—21no—
402C2×C3×D3—21no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C32×C4—21no—
407C32×C4—21no—
408C32×C4C2×#4111yescharacteristic
409C32×C4C2×#4111yescharacteristic
410C3⋊Dic3—41no—
411C3⋊Dic3—41no—
412C3⋊Dic3—41no—
413C3×Dic3—21no—
414C3×Dic3—22no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C2×#41—91no—
420C2×Q16—31no—
421C2×SD16—31no—
422C2×SD16—91no—
423C2×D8—91no—
424C4⋊Q8—91no—
425#126—181no—
426#124—31no—
427#124—181no—
428#123—181no—
429C22⋊Q8—91no—
430C22⋊Q8—181no—
431#121—91no—
432C4×Q8—31no—
433C4×Q8—91no—
434C4×Q8—91no—
435C4×D4—91no—
436C4×D4—91no—
437C4×D4—91no—
438C4×D4—181no—
439C4×D4—181no—
440#117—31no—
441#117—181no—
442C2×C4⋊C4—91no—
443C2×C4⋊C4—181no—
444#107—91no—
445#107—91no—
446#107—91no—
447#107—91no—
448C4⋊C8—31no—
449C4⋊C8D3211yescharacteristic
450#103—31no—
451#103—91no—
452#103—91no—
453#103—91no—
454#102—31no—
455#102—91no—
456#102—91no—
457#102—91no—
458C22⋊C8—31no—
459C22⋊C8—31no—
460#97—31no—
461C4×C8—31no—
462C23×C3—31no—
463C23×C3—61no—
464C22×D3—21no—
465C22×D3—61no—
466C22×D3—61no—
467C22×D3—121no—
468C22×D3C2×D1211yescharacteristic
469C3×Q8—32no—
470C3×Q8—61no—
471C3×Q8—61no—
472C3×Q8—61no—
473C3×D4—61no—
474C3×D4—61no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—31no—
479C2×C3×C4—31no—
480C2×C3×C4—31no—
481C2×C3×C4—61no—
482C2×C3×C4—61no—
483C2×C3×C4—61no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4C2×D1211yescharacteristic
487C2×C3×C4C2×D1211yescharacteristic
488C2×C3×C4D3×D411yescharacteristic
489C2×C3×C4D3×D411yescharacteristic
490C2×C3×C4C23×D311yescharacteristic
491C2×C3×C4C23×D311yescharacteristic
492#67—64no—
493#67—241no—
494#67—241no—
495C2×Dic3—21no—
496C2×Dic3—21no—
497C2×Dic3—21no—
498C2×Dic3—61no—
499C2×Dic3—61no—
500C2×Dic3—61no—
501C2×Dic3—61no—
502C2×Dic3—61no—
503C2×Dic3—61no—
504C2×Dic3—121no—
505C2×Dic3—121no—
506C2×Dic3—121no—
507C2×Dic3—241no—
508C2×Dic3—241no—
509C2×Dic3C2×D1211yescharacteristic
510C2×Dic3C2×D1211yescharacteristic
511C2×Dic3C2×D1211yescharacteristic
512D12—21no—
513D12—21no—
514D12—32no—
515D12—32no—
516D12—62no—
517D12—64no—
518D12—61no—
519D12—61no—
520D12—121no—
521C4×D3—21no—
522C4×D3—21no—
523C4×D3—64no—
524C4×D3—64no—
525C4×D3—241no—
526C4×D3—241no—
527C4×D3—241no—
528C4×D3—241no—
529C4×D3—241no—
530C4×D3—241no—
531C4×D3—242no—
532Dic6—21no—
533Dic6—21no—
534Dic6—21no—
535Dic6—241no—
536Dic6—241no—
537Dic6—242no—
538Dic6#23712yes—
539C3×C8—21no—
540C3×C8—21no—
541C3×C8—21no—
542C3×C8—21no—
543C3×C8—41no—
544C3×C8—41no—
545C3×C8—61no—
546C3×C8—61no—
547C3⋊C8—21no—
548C3⋊C8—21no—
549C2×C32#52511yescharacteristic
550C2×C32#57611yescharacteristic
551C2×C32#57811yescharacteristic
552C3⋊D3—42no—
553C3×D3—41no—
554C3×D3—81no—
555#41—182no—
556#41—182no—
557C2×Q8—31no—
558C2×Q8—31no—
559C2×Q8—181no—
560C2×D4—31no—
561C2×D4—91no—
562C2×D4—181no—
563C2×D4—181no—
564C22×C4—31no—
565C22×C4—181no—
566C22×C4—181no—
567C22×C4—181no—
568C22×C4—181no—
569C22×C4—181no—
570Q16—62no—
571SD16—62no—
572SD16—182no—
573D8—182no—
574C2×C8—31no—
575C2×C8—31no—
576C2×C8C2×D3211yescharacteristic
577C2×C8C2×D3211yescharacteristic
578C4⋊C4—31no—
579C4⋊C4—31no—
580C4⋊C4—31no—
581C4⋊C4—61no—
582C4⋊C4—91no—
583C4⋊C4—91no—
584C4⋊C4—91no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C22⋊C4—31no—
591C22⋊C4—31no—
592C22⋊C4—61no—
593C22⋊C4—61no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C42—31no—
600C42—61no—
601C42—181no—
602C42—181no—
603C42C2×D3211yescharacteristic
604C22×C3—21no—
605C22×C3—61no—
606C22×C3—61no—
607C22×C3—61no—
608C22×C3—121no—
609C22×C3—121no—
610C22×C3—121no—
611C22×C3C22×D1211yescharacteristic
612C22×C3C2×D3×D411yescharacteristic
613C2×D3—21no—
614C2×D3—21no—
615C2×D3—21no—
616C2×D3—41no—
617C2×D3—41no—
618C2×D3—41no—
619C2×D3—62no—
620C2×D3—62no—
621C2×D3—122no—
622C2×D3—121no—
623C2×D3—121no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—241no—
627C2×D3—241no—
628C3×C4—22no—
629C3×C4—21no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—41no—
636C3×C4—61no—
637C3×C4—61no—
638C3×C4—62no—
639C3×C4—61no—
640C3×C4—121no—
641C3×C4—121no—
642C3×C4C2×#23711yescharacteristic
643C3×C4D3×#4111yescharacteristic
644C3×C4D3×#4111yescharacteristic
645C3×C4D3×#4111yescharacteristic
646Dic3—21no—
647Dic3—21no—
648Dic3—21no—
649Dic3—22no—
650Dic3—41no—
651Dic3—41no—
652Dic3—121no—
653Dic3—121no—
654Dic3—121no—
655Dic3—121no—
656Dic3—121no—
657Dic3—121no—
658Dic3—241no—
659Dic3—241no—
660Dic3—241no—
661C32#312411yescharacteristic, complemented, Sylow
662C23—31no—
663C23—61no—
664C23—181no—
665Q8—32no—
666Q8—61no—
667Q8—61no—
668Q8—61no—
669Q8—721no—
670D4—61no—
671D4—61no—
672D4—92no—
673D4—184no—
674D4—181no—
675D4—721no—
676C2×C4—31no—
677C2×C4—31no—
678C2×C4—31no—
679C2×C4—61no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—184no—
685C2×C4—181no—
686C2×C4—181no—
687C2×C4—181no—
688C2×C4—721no—
689C2×C4—721no—
690C2×C4—721no—
691C2×C4—721no—
692C2×C4D3×D1211yescharacteristic
693C2×C4D3×D1211yescharacteristic
694C2×C4C22×D3211yescharacteristic
695C8—21no—
696C8—21no—
697C8—61no—
698C8—61no—
699C2×C3—21no—
700C2×C3—21no—
701C2×C3—21no—
702C2×C3—121no—
703C2×C3—241no—
704C2×C3#552411yescharacteristic
705C2×C3#560611yescharacteristic
706C2×C3#575211yescharacteristic
707C2×C3#575311yescharacteristic
708C2×C3#576911yescharacteristic
709C2×C3#577911yescharacteristic
710D3—41no—
711D3—81no—
712D3—122no—
713D3—122no—
714D3—242no—
715C22—61no—
716C22—61no—
717C22—61no—
718C22—121no—
719C22—121no—
720C22—121no—
721C22—182no—
722C22—361no—
723C22—361no—
724C22C2×D3×D1211yescharacteristic
725C4—21no—
726C4—21no—
727C4—61no—
728C4—62no—
729C4—61no—
730C4—61no—
731C4—121no—
732C4—121no—
733C4—361no—
734C4—361no—
735C4—361no—
736C4D3×#23711yescharacteristic
737C4#6431911yescharacteristic
738C3—21no—
739C3#7938811yescharacteristic, complemented
740C3#8057411yescharacteristic, complemented
741C2—121no—
742C2—241no—
743C2—362no—
744C2#1059462611yescharacteristic
745C2#1059468011yescharacteristic
746C2#1059472111yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4⋊C8C22
socleC22×C32C22×D4
prime radical#10590823C2
hypercenterC4⋊C8D32
hypocenterC32#3124
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
1. #10593961C2semidirect
2. #10593890C2semidirect
3. #10592545C2semidirect
4. C3×#4845C2semidirect
5. C3×#4840C2semidirect
6. #10590966C2semidirect
8. Dic3×Dic12C2semidirect
9. #10590795C2semidirect
10. #10590766C2semidirect
11. #10590745C2semidirect
12. #10590682C2semidirect
13. #10590680C2semidirect
14. #10590356C2semidirect
15. #10590283C2semidirect
77. #4845D3semidirect
79. #4840D3semidirect
661. C32#3124semidirect
739. C3#79388semidirect
740. C3#80574semidirect

Maximal subgroups

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

subgroupindex
#105939612
#105938902
#105925452
C3×#48452
C3×#48402
#105909662
#105908232
Dic3×Dic122
#105907952
#105907662
#105907452
#105906822
#105906802
#105903562
#105902832
#805743
#793883