Finite Group Databasebeta

← #11889454

Subgroups — #11889454

Order 1152.

806 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#10595400C211yesmaximal, characteristic
2#10594550C211yesmaximal, characteristic
3#10592494C211yesmaximal, characteristic, complemented
4C3×#4814C211yesmaximal, characteristic, complemented
5C3×D3×#103C211yesmaximal, characteristic, complemented
6#10591616C211yesmaximal, characteristic, complemented
7#10591598C211yesmaximal, characteristic, complemented
8#10591595C211yesmaximal, characteristic, complemented
9#10590952C211yesmaximal, characteristic, complemented
10#10590852C211yesmaximal, characteristic, complemented
11#10590821C211yesmaximal, characteristic, complemented
12#10590723C211yesmaximal, characteristic
13#10590600C211yesmaximal, characteristic, complemented
14#10590485C211yesmaximal, characteristic, complemented
15#10590426C211yesmaximal, characteristic, complemented
16#81527—31nomaximal
17#78810—31nomaximal
18C2×C3×D3×Q8C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20#64153C2211yescharacteristic
21C2×#3756C2211yescharacteristic
22C2×#3746C2211yescharacteristic
23#64096C2211yescharacteristic
24C3×#946C2211yescharacteristic
25C2×C3×D3×C8C2211yescharacteristic
26C3×#892C2211yescharacteristic
27C3×D3×C4⋊C4C2211yescharacteristic
28#63905—21no—
29C4×#625C2211yescharacteristic
30#63887—21no—
31#63879—21no—
32#63872C2211yescharacteristic
33#63867—21no—
34#63862—21no—
35#63857C2211yescharacteristic
36#63857C2211yescharacteristic
37#63857C2211yescharacteristic
38#63855—21no—
39#63851—21no—
40#63843C2211yescharacteristic
41#63839—21no—
42C2×#3719C2211yescharacteristic
43C2×#3711C2211yescharacteristic
44C32×#103C2211yescharacteristic
45#63641C2211yescharacteristic
46#63637C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#835C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#818C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#808C2211yescharacteristic
54#63574C2211yescharacteristic
55#63567C2211yescharacteristic
56#63567C2211yescharacteristic
57#63567C2211yescharacteristic
58#63565C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63555C2211yescharacteristic
61Q8×#67—31no—
62#5632—31no—
63#5529—31no—
64#5513—31no—
65C3×#485—31no—
66C2×C3×#103—31no—
67#5228—31no—
68#5116—31no—
69#5111—31no—
70#5052—31no—
71#5004—31no—
72#4971—31no—
73#4887—31no—
74#4877—31no—
75#4862—31no—
76#4853—31no—
77#4816—31no—
78#4814D311yescharacteristic, complemented
79#4809—31no—
80#4809—31no—
81#4802—31no—
82D3×#103D311yescharacteristic, complemented
83#4797—31no—
84#4797—31no—
85#4796—31no—
86#4795—31no—
87#4795—31no—
88#4795—61no—
89#4789—31no—
90#4739—31no—
91#4728—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C3×D3×Q8—22no—
96C3×D3×Q8—41no—
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3C2311yescharacteristic
100C2×C3×C4×D3C2311yescharacteristic
101C2×C3×Dic6—21no—
102C2×C3×Dic6C2311yescharacteristic
103C2×#627—21no—
104C2×#625D411yescharacteristic
105C2×D3×Dic3—21no—
106D3×Dic6—22no—
107D3×Dic6—41no—
108C2×C32×C8C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110#3756—41no—
111#3750—21no—
112#3750—21no—
113#3750—21no—
114C4×C3⋊Dic3—21no—
115C4×C3⋊Dic3C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117#3746—41no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3—21no—
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×D3×C8—41no—
129#3724D411yescharacteristic
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3D411yescharacteristic
140(C2×D3)⋊Dic3D411yescharacteristic
141Dic32—21no—
142#3719—22no—
143#3711—41no—
144#3312—91noSylow
145C22×C3×Q8—31no—
146C2×D3×Q8—31no—
147C2×D3×Q8C2×D311yescharacteristic
148C22×Dic6—31no—
149C22×C3×C8—31no—
150C3×C22⋊Q8—31no—
151C3×#117—31no—
152C2×C3×C4⋊C4—31no—
153#946—61no—
154#946C2×D311yescharacteristic
155Q8×Dic3—31no—
156#944—31no—
157#944—31no—
158#944—61no—
159#944—61no—
160C2×#216—31no—
161C2×#216—31no—
162C2×#216—31no—
163C2×#216—61no—
164#929—61no—
165C4×#67—31no—
166C4×#67—31no—
167C4×#67—61no—
168#926—61no—
169#924—31no—
170#924—31no—
171#924—31no—
172#924—61no—
173C2×#208—31no—
174C2×Dic12—31no—
175C2×Dic12—31no—
176C2×Dic12—31no—
177C2×Dic12—61no—
178C2×ΓL(1,𝔽25)—31no—
179C2×D3×C8C2×D311yescharacteristic
180#898—61no—
181#897—31no—
182#897—31no—
183#897—31no—
184#896—61no—
185#892C2×D311yescharacteristic
186D3×C4⋊C4C2×D311yescharacteristic
187#890—31no—
188#890—31no—
189#889—61no—
190#888—61no—
191#887—31no—
192#887—31no—
193#887—31no—
194#887—61no—
195#883—61no—
196#67⋊C4—61no—
197#879—61no—
198#878—61no—
199#872—61no—
200#870—61no—
201C3×#107—31no—
202C3×#106—31no—
203C3×#103—21no—
204C3×#103—31no—
205C3×#103—31no—
206C3×#103—31no—
207C3×#103—31no—
208C3×#103C2×D311yescharacteristic
209C3×#103C2×D311yescharacteristic
210C3×C22⋊C8—31no—
211#835—31no—
212#835C2×D311yescharacteristic
213#835C2×D311yescharacteristic
214#830—31no—
215(C2×D3)⋊C8—31no—
216(C2×D3)⋊C8C2×D311yescharacteristic
217#818C2×D311yescharacteristic
218#816—31no—
219#816—31no—
220#816—31no—
221#816C2×D311yescharacteristic
222#815—31no—
223#815—31no—
224Dic3⋊C8—31no—
225Dic3⋊C8—31no—
226Dic3⋊C8—61no—
227#810—31no—
228#810—31no—
229#810—31no—
230#810—31no—
231#810—31no—
232#810—31no—
233#810—61no—
234#810C2×D311yescharacteristic
235#808—31no—
236#808—31no—
237#808C2×D311yescharacteristic
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—
251#634—21no—
252#634—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×C4×D3—21no—
262C3×C4×D3—21no—
263C3×C4×D3—42no—
264C3×C4×D3—42no—
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—31no—
279#483—91no—
280#479—91no—
281#470—91no—
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—61no—
293C2×C3×Q8—62no—
294C2×C3×Q8—121no—
295C2×C3×Q8C22×D311yescharacteristic
296C2×C3×Q8C22×D311yescharacteristic
297C22×C3×C4—31no—
298C22×C3×C4—31no—
299C22×C3×C4—61no—
300C22×C3×C4—61no—
301C2×#67—31no—
302C2×#67—31no—
303C22×Dic3—61no—
304D3×Q8—22no—
305D3×Q8—41no—
306D3×Q8—62no—
307D3×Q8—121no—
308C2×C4×D3—21no—
309C2×C4×D3—21no—
310C2×C4×D3—61no—
311C2×C4×D3C22×D311yescharacteristic
312C2×C4×D3C22×D311yescharacteristic
313C2×Dic6—21no—
314C2×Dic6—31no—
315C2×Dic6—31no—
316C2×Dic6—31no—
317C2×Dic6—31no—
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×Dic6—62no—
321C2×Dic6—61no—
322C2×Dic6—61no—
323C2×Dic6—121no—
324C2×Dic6C22×D311yescharacteristic
325C2×C3×C8—21no—
326C2×C3×C8—31no—
327C2×C3×C8—31no—
328C2×C3×C8—121no—
329C2×C3×C8C22×D311yescharacteristic
330C2×C3×C8C22×D311yescharacteristic
331C3×C4⋊C4—21no—
332C3×C4⋊C4—31no—
333C3×C4⋊C4—31no—
334C3×C4⋊C4—31no—
335C3×C4⋊C4—61no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4C22×D311yescharacteristic
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C22⋊C4—61no—
340C3×C22⋊C4—61no—
341C3×C42—61no—
342#217—31no—
343#217—31no—
344#217—61no—
345#217—61no—
346#217—61no—
347#216—62no—
348#216—121no—
349#216—121no—
350#216—122no—
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—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3C22×D311yescharacteristic
365C4⋊Dic3C22×D311yescharacteristic
366C4⋊Dic3C22×D311yescharacteristic
367Dic3⋊C4—21no—
368Dic3⋊C4—21no—
369Dic3⋊C4—31no—
370Dic3⋊C4—31no—
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—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—121no—
384Dic3⋊C4—121no—
385Dic3⋊C4—121no—
386C4×Dic3—21no—
387C4×Dic3—31no—
388C4×Dic3—31no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—121no—
395#208—121no—
396C2×C3⋊C8—31no—
397C2×C3⋊C8—31no—
398C2×C3⋊C8—61no—
399C2×C3⋊C8C22×D311yescharacteristic
400C2×C3⋊C8C22×D311yescharacteristic
401Dic12—62no—
402Dic12—121no—
403Dic12—121no—
404Dic12—122no—
405ΓL(1,𝔽25)—121no—
406D3×C8—41no—
407C22×C32C22×D411yescharacteristic
408C2×C3×D3—21no—
409C2×C3×D3—21no—
410C2×C3×D3—21no—
411C2×C3×D3—21no—
412C2×C3×D3—21no—
413C2×C3×D3#13712yes—
414C32×C4—41no—
415C32×C4—41no—
416C32×C4C2×#4111yescharacteristic
417C32×C4H(5,𝔽2)11yescharacteristic
418C3⋊Dic3—21no—
419C3⋊Dic3—21no—
420C3⋊Dic3—41no—
421C3⋊Dic3—41no—
422C3×Dic3—22no—
423C3×Dic3—21no—
424C3×Dic3—21no—
425C3×Dic3—41no—
426C3×Dic3—41no—
427C3×Dic3—41no—
428C22×Q8—31no—
429C22×Q8—91no—
430C2×Q16—91no—
431C2×Q16—91no—
432C2×Q16—91no—
433C2×M16—91no—
434C22×C8—31no—
435C4⋊Q8—91no—
436C4⋊Q8—181no—
437#126—181no—
438#125—91no—
439#125—181no—
440#123—181no—
441C22⋊Q8—31no—
442C22⋊Q8—91no—
443C22⋊Q8—91no—
444C22⋊Q8—91no—
445C22⋊Q8—181no—
446C22⋊Q8—181no—
447C4×Q8—91no—
448C4×Q8—91no—
449C4×D4—91no—
450C4×D4—181no—
451#117—31no—
452#117—181no—
453C2×C4⋊C4—31no—
454#107—31no—
455#106—31no—
456#106—91no—
457C4⋊C8—91no—
458#103—31no—
459#103—31no—
460#103—31no—
461#103—31no—
462#103—91no—
463#103—91no—
464#103—91no—
465#103—91no—
466#103—91no—
467#103D3211yescharacteristic
468C22⋊C8—31no—
469C22⋊C8—91no—
470#97—91no—
471C23×C3—31no—
472C23×C3—31no—
473C22×D3D3×D411yescharacteristic
474C22×D3D3×D411yescharacteristic
475C3×Q8—21no—
476C3×Q8—21no—
477C3×Q8—21no—
478C3×Q8—21no—
479C3×Q8—32no—
480C3×Q8—41no—
481C3×Q8—41no—
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—42no—
535Dic6—62no—
536Dic6—61no—
537Dic6—61no—
538Dic6—61no—
539Dic6—61no—
540Dic6—61no—
541Dic6—61no—
542Dic6—61no—
543Dic6—61no—
544Dic6—121no—
545Dic6—121no—
546Dic6—121no—
547Dic6—122no—
548Dic6—122no—
549Dic6#23512yes—
550C3×C8—21no—
551C3×C8—21no—
552C3×C8—41no—
553C3×C8—61no—
554C3×C8—61no—
555C3⋊C8—21no—
556C3⋊C8—21no—
557C3⋊C8—61no—
558C3⋊C8—61no—
559C3⋊C8—121no—
560C2×C32#54611yescharacteristic
561C2×C32C2×#13711yescharacteristic
562C2×C32#57811yescharacteristic
563C3×D3—22no—
564C3×D3—41no—
565C2×Q8—31no—
566C2×Q8—61no—
567C2×Q8—62no—
568C2×Q8—91no—
569C2×Q8—91no—
570C2×Q8—121no—
571C2×Q8—181no—
572C2×Q8—182no—
573C2×Q8—361no—
574C2×Q8C2×D3211yescharacteristic
575C2×D4—91no—
576C22×C4—31no—
577C22×C4—31no—
578C22×C4—61no—
579C22×C4—61no—
580C22×C4—181no—
581Q16—182no—
582Q16—361no—
583Q16—361no—
584M16—361no—
585C2×C8—31no—
586C2×C8—31no—
587C2×C8—91no—
588C2×C8—121no—
589C2×C8C2×D3211yescharacteristic
590C4⋊C4—31no—
591C4⋊C4—31no—
592C4⋊C4—31no—
593C4⋊C4—61no—
594C4⋊C4—61no—
595C4⋊C4—91no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4C2×D3211yescharacteristic
606C22⋊C4—61no—
607C22⋊C4—61no—
608C22⋊C4—91no—
609C22⋊C4—91no—
610C22⋊C4—181no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C42—61no—
614C42—91no—
615C42—181no—
616C42—181no—
617C22×C3—21no—
618C22×C3—32no—
619C22×C3—61no—
620C22×C3—61no—
621C22×C3—61no—
622C22×C3—61no—
623C22×C3—61no—
624C22×C3C2×D3×D411yescharacteristic
625C22×C3C2×D3×D411yescharacteristic
626C2×D3—21no—
627C2×D3—21no—
628C2×D3—21no—
629C2×D3—21no—
630C2×D3—21no—
631C2×D3#91512yes—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—41no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4—41no—
638C3×C4—62no—
639C3×C4—61no—
640C3×C4—61no—
641C3×C4—81no—
642C3×C4—81no—
643C3×C4—121no—
644C3×C4—121no—
645C3×C4—121no—
646C3×C4C2×#23511yescharacteristic
647C3×C4#100411yescharacteristic
648C3×C4D3×#4111yescharacteristic
649C3×C4#100911yescharacteristic
650Dic3—21no—
651Dic3—22no—
652Dic3—21no—
653Dic3—41no—
654Dic3—41no—
655Dic3—41no—
656Dic3—62no—
657Dic3—61no—
658Dic3—61no—
659Dic3—61no—
660Dic3—61no—
661Dic3—121no—
662Dic3—122no—
663Dic3—121no—
664Dic3—121no—
665Dic3—121no—
666Dic3—121no—
667Dic3—241no—
668C32#331211yescharacteristic, complemented, Sylow
669C23—31no—
670C23—31no—
671Q8—21no—
672Q8—21no—
673Q8—32no—
674Q8—61no—
675Q8—122no—
676Q8—181no—
677Q8—181no—
678Q8—181no—
679Q8—181no—
680Q8—362no—
681D4—182no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—61no—
694C2×C4—91no—
695C2×C4—91no—
696C2×C4—122no—
697C2×C4—122no—
698C2×C4—181no—
699C2×C4—181no—
700C2×C4—362no—
701C2×C4C22×D3211yescharacteristic
702C8—21no—
703C8—61no—
704C8—61no—
705C8—181no—
706C2×C3—21no—
707C2×C3—21no—
708C2×C3—21no—
709C2×C3—62no—
710C2×C3—121no—
711C2×C3#549011yescharacteristic
712C2×C3#565411yescharacteristic
713C2×C3C2×#91511yescharacteristic
714C2×C3#576611yescharacteristic
715C2×C3#577111yescharacteristic
716C2×C3D3×#13711yescharacteristic
717D3—22no—
718D3—41no—
719C22—32no—
720C22—61no—
721C22—61no—
722C22—61no—
723C22—61no—
724C22—61no—
725C22D32×D411yescharacteristic
726C4—41no—
727C4—41no—
728C4—61no—
729C4—61no—
730C4—62no—
731C4—121no—
732C4—121no—
733C4—121no—
734C4—181no—
735C4—181no—
736C4—361no—
737C4—361no—
738C4D3×#23511yescharacteristic
739C4#6431411yescharacteristic
740C3—21no—
741C3#7881011yescharacteristic, complemented
742C3#8152711yescharacteristic, complemented
743C2—62no—
744C2—121no—
745C2#1059427211yescharacteristic
746C2D3×#91511yescharacteristic
747C2#1059476811yescharacteristic
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. #10592494C2semidirect
4. C3×#4814C2semidirect
5. C3×D3×#103C2semidirect
6. #10591616C2semidirect
7. #10591598C2semidirect
8. #10591595C2semidirect
9. #10590952C2semidirect
10. #10590852C2semidirect
11. #10590821C2semidirect
13. #10590600C2semidirect
14. #10590485C2semidirect
15. #10590426C2semidirect
78. #4814D3semidirect
82. D3×#103D3semidirect
668. C32#3312semidirect
741. C3#78810semidirect
742. C3#81527semidirect

Maximal subgroups

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

subgroupindex
#105954002
#105945502
#105924942
C3×#48142
C3×D3×#1032
#105916162
#105915982
#105915952
#105909522
#105908522
#105908212
#105907232
#105906002
#105904852
#105904262
#815273
#788103