Finite Group Databasebeta

← #11872433

Subgroups — #11872433

Order 1152.

840 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#10596096C211yesmaximal, characteristic, complemented
2#10594986C211yesmaximal, characteristic
3C3×#5047C211yesmaximal, characteristic
4C3×#5044C211yesmaximal, characteristic, complemented
5#10591582C211yesmaximal, characteristic, complemented
6#10591580C211yesmaximal, characteristic, complemented
7#10591571C211yesmaximal, characteristic, complemented
8#10591569C211yesmaximal, characteristic, complemented
9#10591173C211yesmaximal, characteristic
10#10591124C211yesmaximal, characteristic, complemented
11#10591062C211yesmaximal, characteristic, complemented
12#10590494C211yesmaximal, characteristic, complemented
13#10590482C211yesmaximal, characteristic, complemented
14#10590473C211yesmaximal, characteristic, complemented
15#10590461C211yesmaximal, characteristic, complemented
16#81456—31nomaximal
17#80216—31nomaximal
18C2×C3×#235C2211yescharacteristic
19C32×C22⋊Q8C2211yescharacteristic
20Q8×C3⋊Dic3C2211yescharacteristic
21#64153C2211yescharacteristic
22#64135C2211yescharacteristic
23#64133C2211yescharacteristic
24#64099—21no—
25#64099C2211yescharacteristic
26#64098—21no—
27#64096C2211yescharacteristic
28#64088—21no—
29#64088—21no—
30C2×C3×#216C2211yescharacteristic
31C2×C3×#215C2211yescharacteristic
32C2×C3×C4⋊Dic3C2211yescharacteristic
33Dic3×#67—21no—
34Dic3×#67—21no—
35#63898C2211yescharacteristic
36#63898C2211yescharacteristic
37D3×C4⋊Dic3—21no—
38#63843C2211yescharacteristic
39#63843C2211yescharacteristic
40#63841—21no—
41C2×#3719C2211yescharacteristic
42C2×#3716C2211yescharacteristic
43C3×#835C2211yescharacteristic
44C3×#835C2211yescharacteristic
45C3×#830C2211yescharacteristic
46C3×#830C2211yescharacteristic
47C3×#810C2211yescharacteristic
48C3×#809C2211yescharacteristic
49C3×#807C2211yescharacteristic
50C3×#807C2211yescharacteristic
51#63573C2211yescharacteristic
52#63573C2211yescharacteristic
53#63572C2211yescharacteristic
54#63572C2211yescharacteristic
55#63567C2211yescharacteristic
56#63567C2211yescharacteristic
57#63566C2211yescharacteristic
58#63563C2211yescharacteristic
59#63555C2211yescharacteristic
60#63553C2211yescharacteristic
61#5827—31no—
62#5625—31no—
63#5625—31no—
64#5625—61no—
65#5504—31no—
66C3×#484—31no—
67C3×#452—31no—
68#5239—31no—
69#5184—31no—
70#5182—31no—
71#5162—31no—
72Dic3×SD16—31no—
73#5047D311yescharacteristic
74#5044D311yescharacteristic, complemented
75#4971—31no—
76#4891—31no—
77#4889—31no—
78#4877—31no—
79#4873—31no—
80#4818—31no—
81#4799—31no—
82#4795—31no—
83#4790—31no—
84#4789—31no—
85#4788—31no—
86#4763—31no—
87#4757—31no—
88#4733—31no—
89#4721—31no—
90#4720—31no—
91#4720—31no—
92C2×C32×Q8C2311yescharacteristic
93C22×C32×C4C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C2×C3×#67—21no—
96C22×C3×Dic3—21no—
97C3×#235—22no—
98C3×#235—22no—
99C2×C3×D12C2311yescharacteristic
100C2×C3×C4×D3—21no—
101C2×C3×Dic6C2311yescharacteristic
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104C32×C4⋊C4—21no—
105C32×C4⋊C4C2311yescharacteristic
106C32×C22⋊C4—21no—
107#3757—21no—
108#3757D411yescharacteristic
109#3757D411yescharacteristic
110C4⋊(C3⋊Dic3)—21no—
111C4⋊(C3⋊Dic3)—21no—
112C4⋊(C3⋊Dic3)D411yescharacteristic
113C4⋊(C3⋊Dic3)D411yescharacteristic
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115#3750—21no—
116#3750—21no—
117#3750—21no—
118#3750—21no—
119#3750—21no—
120C4×C3⋊Dic3—21no—
121C4×C3⋊Dic3—21no—
122C4×C3⋊Dic3C2311yescharacteristic
123C4×C3⋊Dic3C2311yescharacteristic
124C3×#216—22no—
125C3×#215—22no—
126C3×C4⋊Dic3—21no—
127C3×C4⋊Dic3C2311yescharacteristic
128C3×C4⋊Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138Dic32—21no—
139#3719—22no—
140#3716—22no—
141#3120—91noSylow
142C2×C3×#41—31no—
143C2×#235C2×D311yescharacteristic
144C2×C3×Q16—31no—
145C2×C3×SD16—31no—
146C3×C22⋊Q8—21no—
147C3×C22⋊Q8C2×D311yescharacteristic
148C3×C22⋊Q8C2×D311yescharacteristic
149C2×C3×C4⋊C4—31no—
150Q8×Dic3—31no—
151Q8×Dic3—31no—
152Q8×Dic3—31no—
153Q8×Dic3—31no—
154Q8×Dic3—61no—
155#944—31no—
156#944—31no—
157#944—61no—
158C2×#216—31no—
159C2×#216C2×D311yescharacteristic
160C2×#215C2×D311yescharacteristic
161D4×Dic3—31no—
162D4×Dic3—31no—
163D4×Dic3—61no—
164D4×Dic3—61no—
165C2×#214—31no—
166C4×#67—61no—
167C4×#67—61no—
168#926—31no—
169#926—31no—
170#926—61no—
171#926—61no—
172C2×C4⋊Dic3—61no—
173C2×C4⋊Dic3C2×D311yescharacteristic
174#924—31no—
175#924—31no—
176#924—61no—
177C2×Dic12—31no—
178C2×#204—31no—
179#893—31no—
180#893—31no—
181#892—61no—
182D3×C4⋊C4—61no—
183#890—31no—
184#890—31no—
185#890—61no—
186#890—61no—
187#890—61no—
188#890—62no—
189#889—61no—
190#889—61no—
191#889—62no—
192#887—31no—
193#887—31no—
194#887—31no—
195#887—31no—
196#887—61no—
197#879—61no—
198#879—61no—
199#879—61no—
200#879—61no—
201#879—62no—
202#879—62no—
203C3×#107—31no—
204C3×#107—31no—
205C3×#103—31no—
206C3×#103—31no—
207C3×#103—31no—
208C3×#102—31no—
209C3×C22⋊C8—31no—
210C3×C22⋊C8—31no—
211#835—31no—
212#835C2×D311yescharacteristic
213#835C2×D311yescharacteristic
214#832—31no—
215#830C2×D311yescharacteristic
216#830C2×D311yescharacteristic
217#821—31no—
218#817—31no—
219#817—31no—
220#816—31no—
221#816—31no—
222#816—31no—
223#815—31no—
224#815—31no—
225Dic3⋊C8—31no—
226Dic3⋊C8—31no—
227Dic3⋊C8—31no—
228Dic3⋊C8—31no—
229C8×Dic3—31no—
230C8×Dic3—31no—
231#810—31no—
232#810—31no—
233#810C2×D311yescharacteristic
234#809C2×D311yescharacteristic
235#808—31no—
236#808—31no—
237#807C2×D311yescharacteristic
238#807C2×D311yescharacteristic
239C23×C32C2×D411yescharacteristic
240C22×C3×D3—21no—
241C32×Q8—21no—
242C32×Q8—21no—
243C2×C32×C4—21no—
244C2×C32×C4—21no—
245C2×C32×C4—21no—
246C2×C32×C4—21no—
247C2×C32×C4C2×D411yescharacteristic
248C2×C32×C4C2411yescharacteristic
249C2×C3⋊Dic3—21no—
250C2×C3⋊Dic3—21no—
251C2×C3⋊Dic3C2×D411yescharacteristic
252C2×C3⋊Dic3C2×D411yescharacteristic
253C2×C3⋊Dic3C2×D411yescharacteristic
254C2×C3⋊Dic3C2×D411yescharacteristic
255#634—21no—
256#634—21no—
257C3×#67—24no—
258C2×C3×Dic3—21no—
259C2×C3×Dic3—21no—
260C2×C3×Dic3—21no—
261C2×C3×Dic3—81no—
262C3×D12—21no—
263C3×D12#4112yes—
264C3×C4×D3—24no—
265C3×Dic6—21no—
266C3×Dic6#4112yes—
267D3×Dic3—81no—
268D3×Dic3—81no—
269C3×C3⋊C8—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272C3×C3⋊C8—21no—
273#541—91no—
274#520—91no—
275#484—31no—
276#483—91no—
277#479—91no—
278#478—91no—
279#462—91no—
280#461—91no—
281#452—31no—
282#452—91no—
283#441—91no—
284#440—91no—
285C4×Q16—91no—
286C4×SD16—91no—
287#433—91no—
288C3×#41—62no—
289C3×#41—62no—
290C2×C3×Q8—21no—
291C2×C3×Q8—31no—
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×Q8C22×D311yescharacteristic
294C2×C3×D4—31no—
295C2×C3×D4—61no—
296C22×C3×C4—21no—
297C22×C3×C4—61no—
298C22×C3×C4—61no—
299C22×C3×C4C22×D311yescharacteristic
300C22×C3×C4C22×D311yescharacteristic
301C2×#67—21no—
302C22×Dic3—21no—
303C22×Dic3—61no—
304C22×Dic3—61no—
305#235—22no—
306#235—22no—
307C2×D12C22×D311yescharacteristic
308C2×C4×D3—21no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×Dic6—31no—
312C2×Dic6—31no—
313C2×Dic6—61no—
314C2×Dic6C22×D311yescharacteristic
315C3×Q16—62no—
316C3×SD16—62no—
317C2×C3×C8—31no—
318C2×C3×C8—31no—
319C2×C3×C8—31no—
320C2×C3×C8—31no—
321C3×C4⋊C4—22no—
322C3×C4⋊C4—21no—
323C3×C4⋊C4—21no—
324C3×C4⋊C4—21no—
325C3×C4⋊C4—31no—
326C3×C4⋊C4—31no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4C22×D311yescharacteristic
329C3×C4⋊C4C22×D311yescharacteristic
330C3×C22⋊C4—22no—
331C3×C22⋊C4—21no—
332C3×C22⋊C4—21no—
333#217—31no—
334#217—31no—
335#217—31no—
336#217—31no—
337#217—61no—
338#217—61no—
339#217—61no—
340#217—61no—
341#217—62no—
342#217—61no—
343#217—61no—
344#216—22no—
345#216—62no—
346#215—22no—
347#214—62no—
348(C2×D3)⋊C4—61no—
349(C2×D3)⋊C4—61no—
350C4⋊Dic3—21no—
351C4⋊Dic3—31no—
352C4⋊Dic3—31no—
353C4⋊Dic3—31no—
354C4⋊Dic3—31no—
355C4⋊Dic3—31no—
356C4⋊Dic3—31no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—62no—
367C4⋊Dic3—62no—
368C4⋊Dic3C22×D311yescharacteristic
369C4⋊Dic3C22×D311yescharacteristic
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—62no—
381Dic3⋊C4—62no—
382Dic3⋊C4—62no—
383Dic3⋊C4—62no—
384Dic3⋊C4—62no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387C4×Dic3—31no—
388C4×Dic3—31no—
389C4×Dic3—31no—
390C4×Dic3—31no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—61no—
396C4×Dic3—61no—
397C4×Dic3—61no—
398C4×Dic3—61no—
399C4×Dic3—61no—
400C4×Dic3—61no—
401C4×Dic3—62no—
402C4×Dic3—62no—
403C2×C3⋊C8C22×D311yescharacteristic
404C2×C3⋊C8C22×D311yescharacteristic
405C2×C3⋊C8C22×D311yescharacteristic
406C2×C3⋊C8C22×D311yescharacteristic
407Dic12—62no—
408#204—62no—
409C22×C32—21no—
410C22×C32—21no—
411C22×C32—21no—
412C22×C32C22×D411yescharacteristic
413C2×C3×D3—22no—
414C2×C3×D3—41no—
415C2×C3×D3—41no—
416C32×C4—21no—
417C32×C4—41no—
418C32×C4—41no—
419C32×C4C2×#4111yescharacteristic
420C32×C4C2×#4111yescharacteristic
421C3⋊Dic3—21no—
422C3⋊Dic3—21no—
423C3⋊Dic3—21no—
424C3⋊Dic3—21no—
425C3⋊Dic3—41no—
426C3⋊Dic3—41no—
427C3×Dic3—22no—
428C3×Dic3—41no—
429C3×Dic3—41no—
430C2×#41—31no—
431C2×Q16—31no—
432C2×Q16—91no—
433C2×SD16—31no—
434C2×SD16—91no—
435C4⋊Q8—91no—
436#126—181no—
437#126—181no—
438#125—91no—
439#125—181no—
440#125—181no—
441C22⋊Q8—91no—
442C22⋊Q8D3211yescharacteristic
443C4×Q8—91no—
444C4×Q8—91no—
445C4×Q8—91no—
446C4×Q8—91no—
447C4×D4—91no—
448C4×D4—91no—
449C4×D4—181no—
450C4×D4—181no—
451#117—91no—
452#117—181no—
453C2×C4⋊C4—31no—
454C2×C4⋊C4—181no—
455#107—31no—
456#107—31no—
457#106—91no—
458#106—91no—
459C4⋊C8—91no—
460C4⋊C8—91no—
461#103—31no—
462#103—31no—
463#103—31no—
464#103—91no—
465#103—91no—
466#103—91no—
467#102—31no—
468#102—91no—
469C22⋊C8—31no—
470C22⋊C8—31no—
471#97—91no—
472C4×C8—91no—
473C23×C3—21no—
474C23×C3—61no—
475C23×C3D3×D411yescharacteristic
476C23×C3D3×D411yescharacteristic
477C22×D3—21no—
478C3×Q8—21no—
479C3×Q8—21no—
480C3×Q8—21no—
481C3×Q8—21no—
482C3×Q8—32no—
483C3×Q8—41no—
484C3×Q8—41no—
485C3×Q8—61no—
486C3×D4—32no—
487C3×D4—64no—
488C3×D4—61no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—22no—
494C2×C3×C4—22no—
495C2×C3×C4—21no—
496C2×C3×C4—21no—
497C2×C3×C4—21no—
498C2×C3×C4—21no—
499C2×C3×C4—21no—
500C2×C3×C4—21no—
501C2×C3×C4—41no—
502C2×C3×C4—41no—
503C2×C3×C4—64no—
504C2×C3×C4—61no—
505C2×C3×C4—61no—
506C2×C3×C4—61no—
507C2×C3×C4—241no—
508C2×C3×C4D3×D411yescharacteristic
509C2×C3×C4D3×D411yescharacteristic
510C2×C3×C4C23×D311yescharacteristic
511C2×C3×C4C23×D311yescharacteristic
512#67—24no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—31no—
517C2×Dic3—31no—
518C2×Dic3—31no—
519C2×Dic3—31no—
520C2×Dic3—31no—
521C2×Dic3—31no—
522C2×Dic3—31no—
523C2×Dic3—31no—
524C2×Dic3—61no—
525C2×Dic3—61no—
526C2×Dic3—61no—
527C2×Dic3—61no—
528C2×Dic3—62no—
529C2×Dic3—62no—
530C2×Dic3—61no—
531C2×Dic3—61no—
532C2×Dic3—61no—
533C2×Dic3—61no—
534C2×Dic3—81no—
535C2×Dic3—241no—
536C2×Dic3—241no—
537D12—21no—
538D12#23712yes—
539C4×D3—24no—
540C4×D3—241no—
541C4×D3—241no—
542Dic6—21no—
543Dic6—61no—
544Dic6—61no—
545Dic6—61no—
546Dic6—61no—
547Dic6—121no—
548Dic6—121no—
549Dic6#23712yes—
550C3×C8—61no—
551C3×C8—61no—
552C3×C8—61no—
553C3×C8—61no—
554C3⋊C8—21no—
555C3⋊C8—21no—
556C3⋊C8—21no—
557C3⋊C8—21no—
558C2×C32—41no—
559C2×C32#52511yescharacteristic
560C2×C32#57711yescharacteristic
561C2×C32#57811yescharacteristic
562C3×D3—42no—
563#41—62no—
564#41—62no—
565C2×Q8—31no—
566C2×Q8—91no—
567C2×Q8C2×D3211yescharacteristic
568C2×D4—31no—
569C2×D4—61no—
570C22×C4—61no—
571C22×C4—61no—
572C22×C4—181no—
573C22×C4—181no—
574C22×C4C2×D3211yescharacteristic
575Q16—62no—
576Q16—182no—
577SD16—62no—
578SD16—182no—
579C2×C8—31no—
580C2×C8—31no—
581C2×C8—31no—
582C2×C8—31no—
583C4⋊C4—21no—
584C4⋊C4—31no—
585C4⋊C4—31no—
586C4⋊C4—61no—
587C4⋊C4—91no—
588C4⋊C4—91no—
589C4⋊C4—91no—
590C4⋊C4—181no—
591C4⋊C4—181no—
592C4⋊C4—181no—
593C4⋊C4—181no—
594C4⋊C4—181no—
595C4⋊C4—181no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4C2×D3211yescharacteristic
600C22⋊C4—21no—
601C22⋊C4—91no—
602C22⋊C4—91no—
603C22⋊C4—181no—
604C22⋊C4—181no—
605C22⋊C4—181no—
606C42—91no—
607C42—91no—
608C42—181no—
609C42—181no—
610C42—181no—
611C42—181no—
612C22×C3—21no—
613C22×C3—21no—
614C22×C3—21no—
615C22×C3—21no—
616C22×C3—21no—
617C22×C3—21no—
618C22×C3—21no—
619C22×C3—41no—
620C22×C3—41no—
621C22×C3—41no—
622C22×C3—62no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3C2×D3×D411yescharacteristic
626C22×C3C2×D3×D411yescharacteristic
627C2×D3—22no—
628C2×D3—41no—
629C2×D3—41no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—41no—
635C3×C4—42no—
636C3×C4—42no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—62no—
642C3×C4—121no—
643C3×C4—121no—
644C3×C4C2×#23711yescharacteristic
645C3×C4C2×#23711yescharacteristic
646C3×C4D3×#4111yescharacteristic
647C3×C4D3×#4111yescharacteristic
648Dic3—22no—
649Dic3—41no—
650Dic3—41no—
651Dic3—61no—
652Dic3—61no—
653Dic3—61no—
654Dic3—61no—
655Dic3—61no—
656Dic3—61no—
657Dic3—61no—
658Dic3—61no—
659Dic3—121no—
660Dic3—121no—
661Dic3—121no—
662Dic3—121no—
663Dic3—122no—
664Dic3—122no—
665Dic3—121no—
666Dic3—121no—
667Dic3—121no—
668Dic3—121no—
669C32#312011yescharacteristic, complemented, Sylow
670C23—61no—
671C23#381111yescharacteristic
672Q8—21no—
673Q8—21no—
674Q8—32no—
675Q8—61no—
676Q8—181no—
677Q8—181no—
678D4—32no—
679D4—64no—
680D4—61no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—64no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—91no—
690C2×C4—91no—
691C2×C4—91no—
692C2×C4—91no—
693C2×C4—181no—
694C2×C4—181no—
695C2×C4—241no—
696C2×C4—721no—
697C2×C4—721no—
698C2×C4#381111yescharacteristic
699C2×C4C22×D3211yescharacteristic
700C8—61no—
701C8—61no—
702C8—61no—
703C8—61no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—21no—
707C2×C3—41no—
708C2×C3—41no—
709C2×C3—81no—
710C2×C3—122no—
711C2×C3#558611yescharacteristic
712C2×C3#565611yescharacteristic
713C2×C3#576611yescharacteristic
714C2×C3#577011yescharacteristic
715C2×C3#577511yescharacteristic
716C2×C3#577911yescharacteristic
717D3—42no—
718C22—21no—
719C22—21no—
720C22—21no—
721C22—62no—
722C22—121no—
723C22—121no—
724C22C2×#381111yescharacteristic
725C4—21no—
726C4—41no—
727C4—41no—
728C4—62no—
729C4—121no—
730C4—121no—
731C4—181no—
732C4—181no—
733C4—181no—
734C4—181no—
735C4—361no—
736C4—361no—
737C4D3×#23711yescharacteristic
738C4D3×#23711yescharacteristic
739C3—21no—
740C3#8021611yescharacteristic, complemented
741C3#8145611yescharacteristic, complemented
742C2—41no—
743C2—122no—
744C2#1059516011yescharacteristic
745C2#1059533711yescharacteristic
746C2#1059546211yescharacteristic
subgroupG/H
centerC22C2×#3811
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊Q8C22
socleC22×C32C22×D4
prime radicalC2×C3×#235C22
hypercenterC22⋊Q8D32
hypocenterC32#3120
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. #10596096C2semidirect
4. C3×#5044C2semidirect
5. #10591582C2semidirect
6. #10591580C2semidirect
7. #10591571C2semidirect
8. #10591569C2semidirect
10. #10591124C2semidirect
11. #10591062C2semidirect
12. #10590494C2semidirect
13. #10590482C2semidirect
14. #10590473C2semidirect
15. #10590461C2semidirect
74. #5044D3semidirect
669. C32#3120semidirect
740. C3#80216semidirect
741. C3#81456semidirect

Maximal subgroups

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

subgroupindex
#105960962
#105949862
C3×#50472
C3×#50442
#105915822
#105915802
#105915712
#105915692
#105911732
#105911242
#105910622
#105904942
#105904822
#105904732
#105904612
#814563
#802163