Finite Group Databasebeta

← #11873010

Subgroups — #11873010

Order 1152.

820 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
1#10595395C211yesmaximal, characteristic, complemented
2#10594361C211yesmaximal, characteristic, complemented
3#10592510C211yesmaximal, characteristic, complemented
4C3×#4819C211yesmaximal, characteristic, complemented
5C3×#4790C211yesmaximal, characteristic, complemented
6#10591656C211yesmaximal, characteristic, complemented
7#10591578C211yesmaximal, characteristic, complemented
8#10591566C211yesmaximal, characteristic, complemented
9#10590963C211yesmaximal, characteristic
10#10590804C211yesmaximal, characteristic, complemented
11Dic3×D24C211yesmaximal, characteristic, complemented
12#10590648C211yesmaximal, characteristic, complemented
13#10590555C211yesmaximal, characteristic, complemented
14#10590510C211yesmaximal, characteristic, complemented
15#10590454C211yesmaximal, characteristic, complemented
16#80510—31nomaximal
17#79749—31nomaximal
18C2×#3796C2211yescharacteristic
19#64155C2211yescharacteristic
20C4⋊C4×C3⋊D3C2211yescharacteristic
21C3×#947C2211yescharacteristic
22C3×Q8×Dic3C2211yescharacteristic
23C2×C3×#216C2211yescharacteristic
24C2×C3×#215C2211yescharacteristic
25C2×C3×D24C2211yescharacteristic
26C3×#893C2211yescharacteristic
27C3×#887C2211yescharacteristic
28#63918C2211yescharacteristic
29#63916C2211yescharacteristic
30C4×#626—21no—
31#63899—21no—
32Dic3×D12C2211yescharacteristic
33Dic3×D12C2211yescharacteristic
34#63890—21no—
35#63881—21no—
36#63877—21no—
37D3×Dic3⋊C4—21no—
38#63874C2211yescharacteristic
39#63859—21no—
40#63852—21no—
41Dic3×Dic6C2211yescharacteristic
42C2×#3715C2211yescharacteristic
43C32×#103C2211yescharacteristic
44#63662C2211yescharacteristic
45#63647C2211yescharacteristic
46#63645C2211yescharacteristic
47#63634C2211yescharacteristic
48C3×#816C2211yescharacteristic
49C3×Dic3⋊C8C2211yescharacteristic
50C3×C8×Dic3C2211yescharacteristic
51C3×#809C2211yescharacteristic
52C3×#807C2211yescharacteristic
53#63575C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63566C2211yescharacteristic
56#63563C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59#63557C2211yescharacteristic
60#63554C2211yescharacteristic
61#5682—31no—
62#5582—31no—
63#5574—31no—
64#5546—31no—
65C3×#463—31no—
66C3×C4×Q16—31no—
67#5187—31no—
68#5185—31no—
69#5173—31no—
70#5164—31no—
71#5158—31no—
72Dic3×D8—31no—
73#5054—31no—
74#5026—31no—
75#5026—31no—
76#5007—31no—
77#4890—31no—
78#4882—31no—
79#4850—31no—
80#4840—31no—
81#4819D311yescharacteristic, complemented
82#4811—31no—
83#4811—31no—
84#4811—61no—
85#4810—31no—
86#4793—31no—
87#4790D311yescharacteristic, complemented
88#4774—31no—
89#4757—31no—
90C4×D24—31no—
91#4690—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×C4×C3⋊D3C2311yescharacteristic
95C2×C3×D12C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×Dic6C2311yescharacteristic
99C2×#627—21no—
100C2×#626—21no—
101C2×#626—21no—
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105#3796—22no—
106#3796—22no—
107C2×C32×C8C2311yescharacteristic
108C32×C4⋊C4C2311yescharacteristic
109#3752—21no—
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113#3750—21no—
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C3×#216—22no—
116C3×#215—22no—
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×C4×Dic3—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3C2311yescharacteristic
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×D24—22no—
130#3724D411yescharacteristic
131#3724D411yescharacteristic
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134#3722D411yescharacteristic
135#3722D411yescharacteristic
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139Dic32—21no—
140#3715—22no—
141#3124—91noSylow
142C2×#239—31no—
143C2×#237—31no—
144C2×C3×Q16—31no—
145C2×C3×SD16—31no—
146C2×C3×D8—31no—
147C3×#124—31no—
148C3×C4×Q8—31no—
149C3×C4×Q8—31no—
150C3×C4×D4—31no—
151#947C2×D311yescharacteristic
152#946—31no—
153#946—31no—
154#946—61no—
155Q8×Dic3—31no—
156Q8×Dic3C2×D311yescharacteristic
157C2×#216C2×D311yescharacteristic
158C2×#215—31no—
159C2×#215C2×D311yescharacteristic
160#938—31no—
161D4×Dic3—31no—
162D4×Dic3—31no—
163C2×#214—31no—
164C4×#67—61no—
165C2×Dic3⋊C4—61no—
166C2×D24C2×D311yescharacteristic
167#896—61no—
168#895—31no—
169#894—61no—
170#893—61no—
171#893C2×D311yescharacteristic
172D3×C4⋊C4—31no—
173D3×C4⋊C4—31no—
174D3×C4⋊C4—61no—
175D3×C4⋊C4—61no—
176#888—31no—
177#887C2×D311yescharacteristic
178#886—61no—
179#885—61no—
180#67⋊C4—61no—
181#879—61no—
182#878—61no—
183#877—61no—
184#876—61no—
185#875—61no—
186C4×D12—31no—
187C4×D12—31no—
188C4×D12—61no—
189#872—31no—
190#872—31no—
191#872—61no—
192#869—31no—
193C4×Dic6—31no—
194C3×#107—31no—
195C3×C4⋊C8—31no—
196C3×#103—21no—
197C3×#103—31no—
198C3×#103C2×D311yescharacteristic
199C3×#103C2×D311yescharacteristic
200C3×#102—31no—
201C3×C4×C8—31no—
202#835—31no—
203#835—31no—
204#835—31no—
205#835—61no—
206#832—31no—
207#832—31no—
208#832—31no—
209#821—31no—
210#821—31no—
211(C2×D3)⋊C8—31no—
212(C2×D3)⋊C8—31no—
213(C2×D3)⋊C8—31no—
214(C2×D3)⋊C8—31no—
215(C2×D3)⋊C8—61no—
216#818—31no—
217#818—31no—
218#818—31no—
219#818—61no—
220#816—31no—
221#816C2×D311yescharacteristic
222#815—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8C2×D311yescharacteristic
225C8×Dic3C2×D311yescharacteristic
226#809—31no—
227#809C2×D311yescharacteristic
228#807—31no—
229#807—31no—
230#807—31no—
231#807—61no—
232#807C2×D311yescharacteristic
233C4⋊(C3⋊C8)—31no—
234#803—31no—
235C22×C3⋊D3C2×D411yescharacteristic
236C22×C3×D3—21no—
237C22×C3×D3—21no—
238C32×Q8—21no—
239C32×Q8—21no—
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3C2×D411yescharacteristic
246C4×C3⋊D3—21no—
247C4×C3⋊D3—21no—
248C4×C3⋊D3—81no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—21no—
258C3×D12#4112yes—
259C3×C4×D3—81no—
260C3×Dic6—21no—
261C3×Dic6#4112yes—
262#627—81no—
263#626—24no—
264#626—81no—
265D3×Dic3—24no—
266D3×Dic3—81no—
267D3×Dic3—81no—
268C32×C8—21no—
269C3⋊(C3⋊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—91no—
279#463—31no—
280#452—91no—
281#449—91no—
282#440—91no—
283#440—91no—
284C4×Q16—31no—
285C4×D8—91no—
286#433—91no—
287C2×C3×Q8—21no—
288C2×C3×Q8—31no—
289C2×C3×Q8C22×D311yescharacteristic
290C2×C3×Q8C22×D311yescharacteristic
291C2×C3×D4—31no—
292C2×C3×D4—31no—
293C22×C3×C4—61no—
294C2×#67—61no—
295C2×#67—61no—
296C22×Dic3—61no—
297C22×Dic3—61no—
298C22×Dic3—61no—
299#239—62no—
300#239—62no—
301#237—62no—
302#237—62no—
303C2×D12—61no—
304C2×D12—61no—
305C2×D12C22×D311yescharacteristic
306C2×D12C22×D311yescharacteristic
307C2×C4×D3—21no—
308C2×C4×D3—31no—
309C2×C4×D3—31no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3—121no—
317C2×Dic6—61no—
318C2×Dic6—61no—
319C2×Dic6C22×D311yescharacteristic
320C3×Q16—62no—
321C3×SD16—62no—
322C3×D8—62no—
323C2×C3×C8—21no—
324C2×C3×C8—31no—
325C2×C3×C8—31no—
326C2×C3×C8C22×D311yescharacteristic
327C2×C3×C8C22×D311yescharacteristic
328C3×C4⋊C4—21no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—61no—
331C3×C4⋊C4—61no—
332C3×C4⋊C4C22×D311yescharacteristic
333C3×C4⋊C4C22×D311yescharacteristic
334C3×C22⋊C4—61no—
335C3×C22⋊C4—61no—
336C3×C22⋊C4—61no—
337C3×C42—31no—
338C3×C42—31no—
339C3×C42—61no—
340C3×C42—61no—
341#217—61no—
342#217—61no—
343#217—61no—
344#216—22no—
345#215—22no—
346#215—62no—
347#214—62no—
348(C2×D3)⋊C4—21no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—31no—
352(C2×D3)⋊C4—31no—
353(C2×D3)⋊C4—31no—
354(C2×D3)⋊C4—31no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—121no—
361C4⋊Dic3—21no—
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⋊Dic3C22×D311yescharacteristic
371Dic3⋊C4—21no—
372Dic3⋊C4—31no—
373Dic3⋊C4—31no—
374Dic3⋊C4—31no—
375Dic3⋊C4—31no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—121no—
383Dic3⋊C4—121no—
384C4×Dic3—21no—
385C4×Dic3—21no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3C22×D311yescharacteristic
389C4×Dic3C22×D311yescharacteristic
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8C22×D311yescharacteristic
394C2×C3⋊C8C22×D311yescharacteristic
395D24—22no—
396C22×C32C22×D411yescharacteristic
397C2×C3⋊D3—21no—
398C2×C3⋊D3—21no—
399C2×C3⋊D3—21no—
400C2×C3×D3—22no—
401C2×C3×D3—41no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C32×C4—41no—
407C32×C4—41no—
408C32×C4C2×#4111yescharacteristic
409C32×C4C2×#4111yescharacteristic
410C3⋊Dic3—21no—
411C3⋊Dic3—41no—
412C3⋊Dic3—41no—
413C3×Dic3—22no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—41no—
419C2×#41—91no—
420C2×Q16—31no—
421C2×SD16—31no—
422C2×SD16—91no—
423C2×D8—31no—
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—31no—
434C4×Q8—91no—
435C4×D4—31no—
436C4×D4—91no—
437C4×D4—91no—
438C4×D4—181no—
439C4×D4—181no—
440#117—91no—
441#117—181no—
442C2×C4⋊C4—91no—
443C2×C4⋊C4—181no—
444#107—31no—
445#107—91no—
446#107—91no—
447#107—91no—
448C4⋊C8—31no—
449C4⋊C8—91no—
450#103—31no—
451#103—91no—
452#103—91no—
453#103D3211yescharacteristic
454#102—31no—
455#102—91no—
456#102—91no—
457#102—91no—
458C22⋊C8—91no—
459C22⋊C8—91no—
460#97—91no—
461C4×C8—31no—
462C23×C3—61no—
463C23×C3—61no—
464C22×D3—21no—
465C22×D3—21no—
466C22×D3—31no—
467C22×D3—31no—
468C22×D3—61no—
469C3×Q8—21no—
470C3×Q8—21no—
471C3×Q8—21no—
472C3×Q8—21no—
473C3×Q8—32no—
474C3×Q8—41no—
475C3×Q8—41no—
476C3×Q8—61no—
477C3×D4—32no—
478C3×D4—61no—
479C3×D4—61no—
480C3×D4—61no—
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×C4—241no—
495C2×C3×C4C23×D311yescharacteristic
496C2×C3×C4C23×D311yescharacteristic
497#67—64no—
498#67—241no—
499C2×Dic3—21no—
500C2×Dic3—21no—
501C2×Dic3—31no—
502C2×Dic3—31no—
503C2×Dic3—61no—
504C2×Dic3—64no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—121no—
510C2×Dic3—121no—
511C2×Dic3—241no—
512C2×Dic3—241no—
513C2×Dic3D3×D411yescharacteristic
514C2×Dic3D3×D411yescharacteristic
515C2×Dic3D3×D411yescharacteristic
516C2×Dic3D3×D411yescharacteristic
517D12—21no—
518D12—21no—
519D12—21no—
520D12—64no—
521D12—241no—
522D12#23712yes—
523C4×D3—64no—
524C4×D3—61no—
525C4×D3—61no—
526C4×D3—61no—
527C4×D3—61no—
528C4×D3—81no—
529C4×D3—121no—
530C4×D3—121no—
531C4×D3—241no—
532C4×D3—241no—
533C4×D3—241no—
534C4×D3—241no—
535C4×D3—242no—
536Dic6—21no—
537Dic6—241no—
538Dic6—241no—
539Dic6#23512yes—
540C3×C8—21no—
541C3×C8—21no—
542C3×C8—41no—
543C3×C8—61no—
544C3×C8—61no—
545C3⋊C8—21no—
546C3⋊C8—21no—
547C3⋊C8—61no—
548C3⋊C8—61no—
549C3⋊C8—121no—
550C2×C32#52511yescharacteristic
551C2×C32#57611yescharacteristic
552C2×C32#57811yescharacteristic
553C3⋊D3—41no—
554C3×D3—42no—
555C3×D3—81no—
556#41—182no—
557#41—182no—
558C2×Q8—31no—
559C2×Q8—181no—
560C2×Q8C2×D3211yescharacteristic
561C2×D4—31no—
562C2×D4—31no—
563C2×D4—181no—
564C2×D4—181no—
565C22×C4—61no—
566C22×C4—91no—
567C22×C4—181no—
568C22×C4—181no—
569C22×C4—181no—
570C22×C4—181no—
571Q16—62no—
572SD16—62no—
573SD16—182no—
574D8—62no—
575C2×C8—31no—
576C2×C8—31no—
577C2×C8—91no—
578C2×C8C2×D3211yescharacteristic
579C4⋊C4—31no—
580C4⋊C4—61no—
581C4⋊C4—61no—
582C4⋊C4—91no—
583C4⋊C4—91no—
584C4⋊C4—91no—
585C4⋊C4—91no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4C2×D3211yescharacteristic
591C22⋊C4—61no—
592C22⋊C4—61no—
593C22⋊C4—61no—
594C22⋊C4—91no—
595C22⋊C4—91no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C42—31no—
601C42—31no—
602C42—61no—
603C42—61no—
604C42—181no—
605C22×C3—21no—
606C22×C3—62no—
607C22×C3—121no—
608C22×C3—121no—
609C22×C3—121no—
610C22×C3—121no—
611C22×C3—121no—
612C22×C3C2×D3×D411yescharacteristic
613C22×C3C2×D3×D411yescharacteristic
614C2×D3—22no—
615C2×D3—41no—
616C2×D3—41no—
617C2×D3—41no—
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—62no—
621C2×D3—61no—
622C2×D3—61no—
623C2×D3—61no—
624C2×D3—61no—
625C2×D3—61no—
626C2×D3—61no—
627C2×D3—121no—
628C2×D3—121no—
629C3×C4—21no—
630C3×C4—21no—
631C3×C4—41no—
632C3×C4—41no—
633C3×C4—41no—
634C3×C4—41no—
635C3×C4—61no—
636C3×C4—61no—
637C3×C4—61no—
638C3×C4—61no—
639C3×C4—62no—
640C3×C4—81no—
641C3×C4—81no—
642C3×C4—121no—
643C3×C4C2×#23511yescharacteristic
644C3×C4C2×#23711yescharacteristic
645C3×C4D3×#4111yescharacteristic
646C3×C4D3×#4111yescharacteristic
647Dic3—21no—
648Dic3—21no—
649Dic3—21no—
650Dic3—21no—
651Dic3—22no—
652Dic3—41no—
653Dic3—61no—
654Dic3—61no—
655Dic3—121no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—121no—
660Dic3—241no—
661Dic3—241no—
662C32#312411yescharacteristic, complemented, Sylow
663C23—61no—
664C23—61no—
665C23—91no—
666Q8—21no—
667Q8—21no—
668Q8—32no—
669Q8—61no—
670Q8—721no—
671D4—32no—
672D4—61no—
673D4—61no—
674D4—61no—
675D4—184no—
676D4—721no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—31no—
680C2×C4—31no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—91no—
686C2×C4—184no—
687C2×C4—181no—
688C2×C4—181no—
689C2×C4—181no—
690C2×C4—181no—
691C2×C4—241no—
692C2×C4—721no—
693C2×C4—721no—
694C2×C4—721no—
695C2×C4C22×D3211yescharacteristic
696C8—21no—
697C8—61no—
698C8—61no—
699C8—181no—
700C2×C3—21no—
701C2×C3—21no—
702C2×C3—21no—
703C2×C3—122no—
704C2×C3—241no—
705C2×C3#554711yescharacteristic
706C2×C3#560611yescharacteristic
707C2×C3#576611yescharacteristic
708C2×C3#576911yescharacteristic
709C2×C3#577111yescharacteristic
710C2×C3#577411yescharacteristic
711D3—42no—
712D3—81no—
713D3—122no—
714D3—121no—
715D3—121no—
716C22—62no—
717C22—121no—
718C22—121no—
719C22—121no—
720C22—121no—
721C22—121no—
722C22—181no—
723C22—181no—
724C22—181no—
725C22D32×D411yescharacteristic
726C4—41no—
727C4—41no—
728C4—61no—
729C4—61no—
730C4—61no—
731C4—61no—
732C4—62no—
733C4—121no—
734C4—181no—
735C4—361no—
736C4—361no—
737C4D3×#23511yescharacteristic
738C4D3×#23711yescharacteristic
739C3—21no—
740C3#7974911yescharacteristic, complemented
741C3#8051011yescharacteristic, complemented
742C2—122no—
743C2—241no—
744C2—361no—
745C2#1059428611yescharacteristic
746C2#1059475511yescharacteristic
747C2#1059476811yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radical#10590963C2
hypercenter#103D32
hypocenterC32#3124
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
1. #10595395C2semidirect
2. #10594361C2semidirect
3. #10592510C2semidirect
4. C3×#4819C2semidirect
5. C3×#4790C2semidirect
6. #10591656C2semidirect
7. #10591578C2semidirect
8. #10591566C2semidirect
10. #10590804C2semidirect
11. Dic3×D24C2semidirect
12. #10590648C2semidirect
13. #10590555C2semidirect
14. #10590510C2semidirect
15. #10590454C2semidirect
81. #4819D3semidirect
87. #4790D3semidirect
662. C32#3124semidirect
740. C3#79749semidirect
741. C3#80510semidirect

Maximal subgroups

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

subgroupindex
#105953952
#105943612
#105925102
C3×#48192
C3×#47902
#105916562
#105915782
#105915662
#105909632
#105908042
Dic3×D242
#105906482
#105905552
#105905102
#105904542
#805103
#797493