Finite Group Databasebeta

← #11889445

Subgroups — #11889445

Order 1152.

797 conjugacy classes of subgroups.

The subgroup lattice has 745 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595400C211yesmaximal, characteristic
2#10594551C211yesmaximal, characteristic
3#10592496C211yesmaximal, characteristic, complemented
4C3×#4816C211yesmaximal, characteristic, complemented
5C3×D3×#103C211yesmaximal, characteristic, complemented
6#10591594C211yesmaximal, characteristic, complemented
7#10591580C211yesmaximal, characteristic, complemented
8#10591558C211yesmaximal, characteristic, complemented
9#10590948C211yesmaximal, characteristic, complemented
10#10590848C211yesmaximal, characteristic, complemented
11#10590791C211yesmaximal, characteristic, complemented
12#10590722C211yesmaximal, characteristic
13#10590604C211yesmaximal, characteristic, complemented
14#10590495C211yesmaximal, characteristic, complemented
15#10590426C211yesmaximal, characteristic, complemented
16#80915—31nomaximal
17#78810—31nomaximal
18C2×C3×D3×Q8C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20#64153C2211yescharacteristic
21#64099C2211yescharacteristic
22C3×#946C2211yescharacteristic
23C2×C3×#216C2211yescharacteristic
24C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
25C2×C3×D3×C8C2211yescharacteristic
26C3×#897C2211yescharacteristic
27C3×D3×C4⋊C4C2211yescharacteristic
28#63905—21no—
29C4×#625C2211yescharacteristic
30#63887—21no—
31#63879—21no—
32#63861—21no—
33#63857C2211yescharacteristic
34#63856C2211yescharacteristic
35#63851—21no—
36#63847—21no—
37#63843C2211yescharacteristic
38#63843C2211yescharacteristic
39#63841—21no—
40#63841C2211yescharacteristic
41#63839—21no—
42C2×#3719C2211yescharacteristic
43C2×#3718C2211yescharacteristic
44C32×#103C2211yescharacteristic
45#63662C2211yescharacteristic
46#63643C2211yescharacteristic
47#63642C2211yescharacteristic
48#63637C2211yescharacteristic
49C3×#835C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#808C2211yescharacteristic
54#63575C2211yescharacteristic
55#63574C2211yescharacteristic
56#63572C2211yescharacteristic
57#63567C2211yescharacteristic
58#63566C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
61Q8×#67—31no—
62#5639—31no—
63#5632—31no—
64#5513—31no—
65C3×#470—31no—
66C2×C3×#103—31no—
67#5228—31no—
68#5186—31no—
69#5182—31no—
70#5127—31no—
71#5120—31no—
72#5116—31no—
73#5111—31no—
74#5050—31no—
75#5045—31no—
76#4971—31no—
77#4862—31no—
78#4857—31no—
79#4816D311yescharacteristic, complemented
80#4814—31no—
81#4813—31no—
82#4809—31no—
83#4802—31no—
84D3×#103D311yescharacteristic, complemented
85#4797—31no—
86#4797—31no—
87#4797—61no—
88#4796—31no—
89#4795—31no—
90#4789—31no—
91#4789—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C3×D3×Q8—22no—
95C3×D3×Q8—41no—
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×C4×D3C2311yescharacteristic
100C2×C3×Dic6—21no—
101C2×C3×Dic6C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×#627—21no—
104C2×#625D411yescharacteristic
105C2×D3×Dic3—21no—
106D3×Dic6—22no—
107D3×Dic6—41no—
108C2×C32×C8C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110C4⋊(C3⋊Dic3)—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113#3750—21no—
114#3750—21no—
115C4×C3⋊Dic3C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×#216—41no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C2×C3×C3⋊C8C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C3×ΓL(1,𝔽25)—41no—
128C3×D3×C8—41no—
129#3724—21no—
130#3724D411yescharacteristic
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3D411yescharacteristic
138(C2×D3)⋊Dic3D411yescharacteristic
139Dic32—21no—
140Dic32—21no—
141Dic32—21no—
142#3719—41no—
143#3718—22no—
144#3312—91noSylow
145C22×C3×Q8—31no—
146C2×D3×Q8—31no—
147C2×D3×Q8C2×D311yescharacteristic
148C22×Dic6—31no—
149C2×C3×Q16—31no—
150C2×C3×M16—31no—
151C22×C3×C8—31no—
152C3×C22⋊Q8—31no—
153C3×C22⋊Q8—31no—
154C2×C3×C4⋊C4—31no—
155#946—31no—
156#946—61no—
157#946C2×D311yescharacteristic
158Q8×Dic3—31no—
159Q8×Dic3—31no—
160#944—31no—
161#944—31no—
162#944—61no—
163#944—61no—
164C2×#216—31no—
165C2×#216—31no—
166C2×#216—31no—
167C2×#216C2×D311yescharacteristic
168#929—61no—
169C4×#67—31no—
170C4×#67—31no—
171C4×#67—61no—
172#926—31no—
173#926—61no—
174#924—31no—
175#924—31no—
176#924—61no—
177C2×Dic12—31no—
178C2×ΓL(1,𝔽25)C2×D311yescharacteristic
179C2×D3×C8C2×D311yescharacteristic
180#898—61no—
181#897—31no—
182#897C2×D311yescharacteristic
183#896—61no—
184#892—31no—
185#892—61no—
186D3×C4⋊C4C2×D311yescharacteristic
187#890—31no—
188#890—31no—
189#890—61no—
190#889—61no—
191#889—61no—
192#888—61no—
193#887—31no—
194#887—31no—
195#883—61no—
196#67⋊C4—61no—
197#879—61no—
198#878—61no—
199C3×#106—31no—
200C3×#103—21no—
201C3×#103—31no—
202C3×#103—31no—
203C3×#103—31no—
204C3×#103—31no—
205C3×#103C2×D311yescharacteristic
206C3×#103C2×D311yescharacteristic
207#835—31no—
208#835—31no—
209#835—31no—
210#835—61no—
211#835C2×D311yescharacteristic
212#830—31no—
213#830—31no—
214(C2×D3)⋊C8—31no—
215(C2×D3)⋊C8—31no—
216#818—31no—
217#816—31no—
218#816—31no—
219#816—31no—
220#816—31no—
221#816—61no—
222#816C2×D311yescharacteristic
223#816C2×D311yescharacteristic
224#815—31no—
225#815—31no—
226#815—61no—
227Dic3⋊C8—31no—
228Dic3⋊C8—31no—
229#810—31no—
230#810—31no—
231#810—31no—
232#810—61no—
233#810C2×D311yescharacteristic
234#808—31no—
235#808—31no—
236#808C2×D311yescharacteristic
237#807—31no—
238C22×C3×D3C2×D411yescharacteristic
239C22×C3×D3C2×D411yescharacteristic
240C32×Q8—21no—
241C32×Q8—21no—
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4C2411yescharacteristic
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3C2×D411yescharacteristic
248C2×C3⋊Dic3C2×D411yescharacteristic
249#634—21no—
250#634—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×C4×D3—21no—
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×C4×D3—42no—
262C3×C4×D3—42no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266C3×Dic6—42no—
267C3×Dic6#4112yes—
268#627—42no—
269#625—22no—
270D3×Dic3—42no—
271C32×C8—21no—
272C3⋊(C3⋊C8)—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#552—91no—
276D4×Q8—91no—
277#491—91no—
278#485—91no—
279#483—91no—
280#479—91no—
281#470—31no—
282#467—91no—
283#462—91no—
284#451—91no—
285#451—91no—
286#441—91no—
287#435—91no—
288#419—91no—
289C2×#103—31no—
290C2×C3×Q8—21no—
291C2×C3×Q8—31no—
292C2×C3×Q8—31no—
293C2×C3×Q8—61no—
294C2×C3×Q8—62no—
295C2×C3×Q8—121no—
296C2×C3×Q8C22×D311yescharacteristic
297C2×C3×Q8C22×D311yescharacteristic
298C22×C3×C4—31no—
299C22×C3×C4—31no—
300C22×C3×C4—61no—
301C22×C3×C4—61no—
302C2×#67—31no—
303C2×#67—31no—
304C22×Dic3—61no—
305D3×Q8—22no—
306D3×Q8—41no—
307D3×Q8—62no—
308D3×Q8—121no—
309C2×C4×D3—21no—
310C2×C4×D3—21no—
311C2×C4×D3—61no—
312C2×C4×D3C22×D311yescharacteristic
313C2×C4×D3C22×D311yescharacteristic
314C2×Dic6—21no—
315C2×Dic6—31no—
316C2×Dic6—31no—
317C2×Dic6—61no—
318C2×Dic6—62no—
319C2×Dic6—61no—
320C2×Dic6—61no—
321C2×Dic6—121no—
322C2×Dic6C22×D311yescharacteristic
323C2×Dic6C22×D311yescharacteristic
324C3×Q16—121no—
325C3×M16—121no—
326C2×C3×C8—21no—
327C2×C3×C8—31no—
328C2×C3×C8—31no—
329C2×C3×C8—121no—
330C2×C3×C8C22×D311yescharacteristic
331C2×C3×C8C22×D311yescharacteristic
332C3×C4⋊C4—21no—
333C3×C4⋊C4—31no—
334C3×C4⋊C4—31no—
335C3×C4⋊C4—61no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C22⋊C4—61no—
341C3×C22⋊C4—61no—
342#217—31no—
343#217—31no—
344#217—61no—
345#217—61no—
346#217—61no—
347#216—41no—
348#216—62no—
349#216—62no—
350#216—121no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—21no—
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—
358C4⋊Dic3—21no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—121no—
368C4⋊Dic3C22×D311yescharacteristic
369C4⋊Dic3C22×D311yescharacteristic
370Dic3⋊C4—21no—
371Dic3⋊C4—21no—
372Dic3⋊C4—31no—
373Dic3⋊C4—31no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—121no—
386Dic3⋊C4—121no—
387Dic3⋊C4—121no—
388C4×Dic3—31no—
389C4×Dic3—31no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—61no—
396C4×Dic3—61no—
397C2×C3⋊C8—31no—
398C2×C3⋊C8—31no—
399C2×C3⋊C8—61no—
400C2×C3⋊C8C22×D311yescharacteristic
401C2×C3⋊C8C22×D311yescharacteristic
402Dic12—121no—
403ΓL(1,𝔽25)—41no—
404D3×C8—41no—
405C22×C32C22×D411yescharacteristic
406C2×C3×D3—21no—
407C2×C3×D3—21no—
408C2×C3×D3—21no—
409C2×C3×D3—21no—
410C2×C3×D3—21no—
411C2×C3×D3#13712yes—
412C32×C4—41no—
413C32×C4—41no—
414C32×C4C2×#4111yescharacteristic
415C32×C4H(5,𝔽2)11yescharacteristic
416C3⋊Dic3—21no—
417C3⋊Dic3—21no—
418C3⋊Dic3—41no—
419C3⋊Dic3—41no—
420C3×Dic3—22no—
421C3×Dic3—21no—
422C3×Dic3—21no—
423C3×Dic3—41no—
424C3×Dic3—41no—
425C3×Dic3—41no—
426C22×Q8—31no—
427C22×Q8—91no—
428C2×Q16—31no—
429C2×Q16—91no—
430C2×Q16—91no—
431C2×M16—31no—
432C22×C8—31no—
433C4⋊Q8—91no—
434C4⋊Q8—181no—
435#126—181no—
436#125—91no—
437#125—181no—
438#123—181no—
439C22⋊Q8—31no—
440C22⋊Q8—31no—
441C22⋊Q8—91no—
442C22⋊Q8—91no—
443C22⋊Q8—181no—
444C22⋊Q8—181no—
445C4×Q8—91no—
446C4×Q8—91no—
447C4×D4—91no—
448C4×D4—181no—
449#117—91no—
450#117—181no—
451C2×C4⋊C4—31no—
452#107—91no—
453#106—31no—
454#106—91no—
455C4⋊C8—91no—
456#103—31no—
457#103—31no—
458#103—31no—
459#103—31no—
460#103—91no—
461#103—91no—
462#103—91no—
463#103—91no—
464#103—91no—
465#103D3211yescharacteristic
466C22⋊C8—91no—
467C22⋊C8—91no—
468#97—91no—
469C23×C3—31no—
470C23×C3—31no—
471C22×D3D3×D411yescharacteristic
472C22×D3D3×D411yescharacteristic
473C3×Q8—21no—
474C3×Q8—21no—
475C3×Q8—21no—
476C3×Q8—21no—
477C3×Q8—32no—
478C3×Q8—41no—
479C3×Q8—41no—
480C3×Q8—61no—
481C3×Q8—61no—
482C3×Q8—61no—
483C3×Q8—122no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—31no—
490C2×C3×C4—31no—
491C2×C3×C4—41no—
492C2×C3×C4—41no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—122no—
502C2×C3×C4—122no—
503C2×C3×C4C23×D311yescharacteristic
504C2×C3×C4C23×D311yescharacteristic
505#67—62no—
506#67—62no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—21no—
510C2×Dic3—21no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—31no—
514C2×Dic3—31no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—121no—
522C2×Dic3—121no—
523C2×Dic3—122no—
524C2×Dic3D3×D411yescharacteristic
525C2×Dic3D3×D411yescharacteristic
526C4×D3—21no—
527C4×D3—21no—
528C4×D3—21no—
529C4×D3—21no—
530C4×D3—42no—
531C4×D3—42no—
532C4×D3—122no—
533Dic6—21no—
534Dic6—21no—
535Dic6—21no—
536Dic6—42no—
537Dic6—61no—
538Dic6—61no—
539Dic6—61no—
540Dic6—61no—
541Dic6—121no—
542Dic6—121no—
543Dic6—122no—
544Dic6—122no—
545Dic6#23512yes—
546C3×C8—21no—
547C3×C8—21no—
548C3×C8—41no—
549C3×C8—61no—
550C3×C8—61no—
551C3⋊C8—21no—
552C3⋊C8—21no—
553C3⋊C8—61no—
554C3⋊C8—61no—
555C3⋊C8—121no—
556C2×C32#54611yescharacteristic
557C2×C32C2×#13711yescharacteristic
558C2×C32#57811yescharacteristic
559C3×D3—22no—
560C3×D3—41no—
561C2×Q8—31no—
562C2×Q8—31no—
563C2×Q8—61no—
564C2×Q8—62no—
565C2×Q8—91no—
566C2×Q8—121no—
567C2×Q8—181no—
568C2×Q8—182no—
569C2×Q8—361no—
570C2×Q8C2×D3211yescharacteristic
571C2×D4—91no—
572C22×C4—31no—
573C22×C4—31no—
574C22×C4—61no—
575C22×C4—61no—
576C22×C4—181no—
577Q16—121no—
578Q16—182no—
579Q16—361no—
580M16—121no—
581C2×C8—31no—
582C2×C8—31no—
583C2×C8—91no—
584C2×C8—121no—
585C2×C8C2×D3211yescharacteristic
586C4⋊C4—31no—
587C4⋊C4—31no—
588C4⋊C4—61no—
589C4⋊C4—61no—
590C4⋊C4—61no—
591C4⋊C4—91no—
592C4⋊C4—91no—
593C4⋊C4—181no—
594C4⋊C4—181no—
595C4⋊C4—181no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4C2×D3211yescharacteristic
602C22⋊C4—61no—
603C22⋊C4—61no—
604C22⋊C4—91no—
605C22⋊C4—91no—
606C22⋊C4—181no—
607C22⋊C4—181no—
608C22⋊C4—181no—
609C42—91no—
610C42—181no—
611C42—181no—
612C42—181no—
613C22×C3—21no—
614C22×C3—32no—
615C22×C3—61no—
616C22×C3—61no—
617C22×C3—61no—
618C22×C3—61no—
619C22×C3—61no—
620C22×C3C2×D3×D411yescharacteristic
621C22×C3C2×D3×D411yescharacteristic
622C2×D3—21no—
623C2×D3—21no—
624C2×D3—21no—
625C2×D3—21no—
626C2×D3—21no—
627C2×D3#91512yes—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—41no—
631C3×C4—41no—
632C3×C4—41no—
633C3×C4—41no—
634C3×C4—61no—
635C3×C4—62no—
636C3×C4—61no—
637C3×C4—81no—
638C3×C4—81no—
639C3×C4—121no—
640C3×C4—121no—
641C3×C4—121no—
642C3×C4C2×#23511yescharacteristic
643C3×C4#100411yescharacteristic
644C3×C4#100411yescharacteristic
645C3×C4D3×#4111yescharacteristic
646Dic3—22no—
647Dic3—21no—
648Dic3—21no—
649Dic3—41no—
650Dic3—41no—
651Dic3—41no—
652Dic3—61no—
653Dic3—61no—
654Dic3—61no—
655Dic3—61no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—121no—
660Dic3—121no—
661Dic3—121no—
662Dic3—241no—
663Dic3—241no—
664C32#331211yescharacteristic, complemented, Sylow
665C23—31no—
666C23—31no—
667Q8—21no—
668Q8—21no—
669Q8—32no—
670Q8—61no—
671Q8—61no—
672Q8—61no—
673Q8—122no—
674Q8—181no—
675Q8—181no—
676Q8—362no—
677D4—182no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—31no—
681C2×C4—31no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—91no—
691C2×C4—91no—
692C2×C4—122no—
693C2×C4—122no—
694C2×C4—181no—
695C2×C4—181no—
696C2×C4—362no—
697C2×C4C22×D3211yescharacteristic
698C8—21no—
699C8—61no—
700C8—61no—
701C8—181no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—62no—
706C2×C3—121no—
707C2×C3#549011yescharacteristic
708C2×C3#561011yescharacteristic
709C2×C3C2×#91511yescharacteristic
710C2×C3#576611yescharacteristic
711C2×C3D3×#13711yescharacteristic
712C2×C3#577911yescharacteristic
713D3—22no—
714D3—41no—
715C22—32no—
716C22—61no—
717C22—61no—
718C22—61no—
719C22—61no—
720C22—61no—
721C22D32×D411yescharacteristic
722C4—41no—
723C4—41no—
724C4—61no—
725C4—61no—
726C4—62no—
727C4—121no—
728C4—121no—
729C4—121no—
730C4—181no—
731C4—181no—
732C4—361no—
733C4—361no—
734C4D3×#23511yescharacteristic
735C4#6431311yescharacteristic
736C3—21no—
737C3#7881011yescharacteristic, complemented
738C3#8091511yescharacteristic, complemented
739C2—62no—
740C2—121no—
741C2#1059427311yescharacteristic
742C2D3×#91511yescharacteristic
743C2#1059476611yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radicalC2×#625D4
hypercenter#103D32
hypocenterC32#3312
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
3. #10592496C2semidirect
4. C3×#4816C2semidirect
5. C3×D3×#103C2semidirect
6. #10591594C2semidirect
7. #10591580C2semidirect
8. #10591558C2semidirect
9. #10590948C2semidirect
10. #10590848C2semidirect
11. #10590791C2semidirect
13. #10590604C2semidirect
14. #10590495C2semidirect
15. #10590426C2semidirect
79. #4816D3semidirect
84. D3×#103D3semidirect
664. C32#3312semidirect
737. C3#78810semidirect
738. C3#80915semidirect

Maximal subgroups

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

subgroupindex
#105954002
#105945512
#105924962
C3×#48162
C3×D3×#1032
#105915942
#105915802
#105915582
#105909482
#105908482
#105907912
#105907222
#105906042
#105904952
#105904262
#809153
#788103