Finite Group Databasebeta

← #11889397

Subgroups — #11889397

Order 1152.

797 conjugacy classes of subgroups.

The subgroup lattice has 743 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×#625C211yesmaximal, characteristic
2#10594456C211yesmaximal, characteristic
3#10592498C211yesmaximal, characteristic, complemented
4C3×#4809C211yesmaximal, characteristic, complemented
5C3×#4802C211yesmaximal, characteristic, complemented
6#10591594C211yesmaximal, characteristic, complemented
7#10591582C211yesmaximal, characteristic, complemented
8D3×#835C211yesmaximal, characteristic, complemented
9#10590854C211yesmaximal, characteristic, complemented
10#10590798C211yesmaximal, characteristic, complemented
11#10590724C211yesmaximal, characteristic
12#10590675C211yesmaximal, characteristic, complemented
13#10590568C211yesmaximal, characteristic, complemented
14#10590521C211yesmaximal, characteristic, complemented
15#10590518C211yesmaximal, characteristic, complemented
16#80195—31nomaximal
17#78966—31nomaximal
18C2×C3×D3×Q8C2211yescharacteristic
19C2×C3×D3×Q8C2211yescharacteristic
20Q8×C3⋊Dic3C2211yescharacteristic
21#64099C2211yescharacteristic
22C2×C3×#216C2211yescharacteristic
23C2×C3×Dic12C2211yescharacteristic
24C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
25C3×#897C2211yescharacteristic
26C3×#892C2211yescharacteristic
27C4×#625—21no—
28C4×#625C2211yescharacteristic
29#63891—21no—
30D3×C4⋊Dic3C2211yescharacteristic
31#63877—21no—
32#63873—21no—
33#63873C2211yescharacteristic
34#63869—21no—
35#63858—21no—
36#63856—21no—
37#63856—21no—
38#63856C2211yescharacteristic
39#63856C2211yescharacteristic
40#63856C2211yescharacteristic
41#63843C2211yescharacteristic
42C2×#3718C2211yescharacteristic
43C2×D3×C3⋊C8C2211yescharacteristic
44C32×#103C2211yescharacteristic
45#63662C2211yescharacteristic
46#63644C2211yescharacteristic
47#63641C2211yescharacteristic
48#63634C2211yescharacteristic
49C3×#835C2211yescharacteristic
50C3×(C2×D3)⋊C8C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#810C2211yescharacteristic
54#63573C2211yescharacteristic
55#63566C2211yescharacteristic
56#63566C2211yescharacteristic
57#63566C2211yescharacteristic
58#63565C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63555C2211yescharacteristic
61Q8×#67—31no—
62Q8×#67—31no—
63#5642—31no—
64#5529—31no—
65C3×#451—31no—
66C3×#419—31no—
67#5228—31no—
68C2×#835—31no—
69#5189—31no—
70#5186—31no—
71#5184—31no—
72#5182—31no—
73#5137—31no—
74#5127—31no—
75#5051—31no—
76#4996—31no—
77#4815—31no—
78#4813—31no—
79#4809D311yescharacteristic, complemented
80#4805—31no—
81#4802D311yescharacteristic, complemented
82D3×#103—31no—
83#4799—31no—
84#4799—31no—
85#4799—61no—
86#4797—31no—
87#4797—31no—
88#4795—31no—
89#4789—31no—
90#4730—31no—
91#4721—31no—
92C2×C32×Q8C2311yescharacteristic
93C3×D3×Q8—22no—
94C3×D3×Q8—22no—
95C3×D3×Q8—41no—
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×Dic6—21no—
103C2×C3×Dic6C2311yescharacteristic
104C2×C3×Dic6C2311yescharacteristic
105C2×C3×Dic6C2311yescharacteristic
106C2×#625D411yescharacteristic
107C2×D3×Dic3—21no—
108C2×C32×C8C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110C4⋊(C3⋊Dic3)—21no—
111C4⋊(C3⋊Dic3)—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114#3750—21no—
115C4×C3⋊Dic3—21no—
116C4×C3⋊Dic3C2311yescharacteristic
117C2×C3⋊(C3⋊C8)C2311yescharacteristic
118C3×#216—22no—
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3—21no—
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4×Dic3—21no—
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C3×Dic12—41no—
127C3×ΓL(1,𝔽25)—41no—
128#3724—21no—
129#3724—21no—
130#3724—21no—
131#3724—21no—
132#3724—21no—
133#3724D411yescharacteristic
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#3718—41no—
143D3×C3⋊C8—41no—
144#3312—91noSylow
145C22×C3×Q8—31no—
146C22×C3×Q8—31no—
147C2×D3×Q8C2×D311yescharacteristic
148C2×D3×Q8C2×D311yescharacteristic
149C2×C3×Q16—31no—
150C2×C3×Q16—31no—
151C2×C3×M16—31no—
152C3×C22⋊Q8—31no—
153C3×#117—31no—
154#946—31no—
155#946—31no—
156#946—31no—
157#946—61no—
158#946—61no—
159Q8×Dic3—31no—
160Q8×Dic3—31no—
161Q8×Dic3—31no—
162Q8×Dic3—61no—
163#944—31no—
164#944—31no—
165#944—61no—
166#944—61no—
167C2×#216—31no—
168C2×#216—31no—
169C2×#216C2×D311yescharacteristic
170C4×#67—31no—
171C4×#67—31no—
172C4×#67—61no—
173C4×#67—61no—
174C2×C4⋊Dic3—31no—
175#924—31no—
176#924—31no—
177#924—31no—
178#924—61no—
179#924—61no—
180C22×C3⋊C8—31no—
181C2×Dic12C2×D311yescharacteristic
182C2×ΓL(1,𝔽25)C2×D311yescharacteristic
183C2×D3×C8—31no—
184#898—61no—
185#897C2×D311yescharacteristic
186#892C2×D311yescharacteristic
187D3×C4⋊C4—31no—
188#890—31no—
189#890—31no—
190#890—61no—
191#890—61no—
192#887—31no—
193#886—61no—
194#883—61no—
195#879—61no—
196#877—61no—
197#872—61no—
198#870—61no—
199C3×#103—21no—
200C3×#103—31no—
201C3×#103—31no—
202C3×#103—31no—
203C3×#103—31no—
204C3×#103C2×D311yescharacteristic
205C3×#103C2×D311yescharacteristic
206C3×C22⋊C8—31no—
207#835—31no—
208#835—31no—
209#835—31no—
210#835—31no—
211#835—31no—
212#835—31no—
213#835—61no—
214#835C2×D311yescharacteristic
215#830—31no—
216(C2×D3)⋊C8—31no—
217(C2×D3)⋊C8C2×D311yescharacteristic
218#817—31no—
219#817—31no—
220#817—31no—
221#817—61no—
222#816—31no—
223#816—31no—
224#816—31no—
225#816C2×D311yescharacteristic
226#815—31no—
227#815—31no—
228Dic3⋊C8—31no—
229Dic3⋊C8—31no—
230Dic3⋊C8—61no—
231#810—31no—
232#810C2×D311yescharacteristic
233#810C2×D311yescharacteristic
234#808—31no—
235#807—31no—
236#807—31no—
237#807—61no—
238C22×C3×D3C2×D411yescharacteristic
239C22×C3×D3C2×D411yescharacteristic
240C32×Q8—21no—
241C32×Q8#4112yes—
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
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C3×C4×D3—21no—
256C3×C4×D3—21no—
257C3×C4×D3—21no—
258C3×C4×D3—21no—
259C3×C4×D3—42no—
260C3×C4×D3—42no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266C3×Dic6—21no—
267C3×Dic6—42no—
268C3×Dic6—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—91no—
282#467—91no—
283#462—91no—
284#451—31no—
285#451—91no—
286#441—91no—
287#435—91no—
288#419—31no—
289C2×#103—91no—
290C2×C3×Q8—21no—
291C2×C3×Q8—31no—
292C2×C3×Q8—31no—
293C2×C3×Q8—31no—
294C2×C3×Q8—61no—
295C2×C3×Q8—61no—
296C2×C3×Q8—62no—
297C2×C3×Q8—62no—
298C2×C3×Q8—121no—
299C2×C3×Q8—121no—
300C2×C3×Q8C22×D311yescharacteristic
301C2×C3×Q8C22×D311yescharacteristic
302C22×C3×C4—31no—
303C22×C3×C4—31no—
304C22×C3×C4—61no—
305C22×C3×C4—61no—
306C2×#67—31no—
307C2×#67—31no—
308C22×Dic3—61no—
309D3×Q8—22no—
310D3×Q8—22no—
311D3×Q8—41no—
312D3×Q8—41no—
313C2×C4×D3—21no—
314C2×C4×D3—21no—
315C2×C4×D3—61no—
316C2×C4×D3C22×D311yescharacteristic
317C2×C4×D3C22×D311yescharacteristic
318C2×Dic6—21no—
319C2×Dic6—21no—
320C2×Dic6C22×D311yescharacteristic
321C2×Dic6C22×D311yescharacteristic
322C2×Dic6C22×D311yescharacteristic
323C3×Q16—62no—
324C3×Q16—121no—
325C3×M16—121no—
326C2×C3×C8—21no—
327C2×C3×C8—31no—
328C2×C3×C8—31no—
329C2×C3×C8C22×D311yescharacteristic
330C2×C3×C8C22×D311yescharacteristic
331C3×C4⋊C4—21no—
332C3×C4⋊C4—31no—
333C3×C4⋊C4—61no—
334C3×C4⋊C4C22×D311yescharacteristic
335C3×C4⋊C4C22×D311yescharacteristic
336C3×C22⋊C4—61no—
337C3×C22⋊C4—61no—
338C3×C42—61no—
339#217—31no—
340#217—31no—
341#217—61no—
342#217—61no—
343#217—61no—
344#216—22no—
345#216—121no—
346#216—121no—
347(C2×D3)⋊C4—21no—
348(C2×D3)⋊C4—21no—
349(C2×D3)⋊C4—31no—
350(C2×D3)⋊C4—31no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354C4⋊Dic3—21no—
355C4⋊Dic3—31no—
356C4⋊Dic3—31no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—121no—
368C4⋊Dic3—121no—
369C4⋊Dic3C22×D311yescharacteristic
370Dic3⋊C4—31no—
371Dic3⋊C4—31no—
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—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—121no—
387C4×Dic3—21no—
388C4×Dic3—31no—
389C4×Dic3—31no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—121no—
396C2×C3⋊C8—31no—
397C2×C3⋊C8—31no—
398C2×C3⋊C8—61no—
399C2×C3⋊C8—121no—
400C2×C3⋊C8C22×D311yescharacteristic
401C2×C3⋊C8C22×D311yescharacteristic
402Dic12—41no—
403ΓL(1,𝔽25)—41no—
404D3×C8—121no—
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—22no—
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—21no—
421C3×Dic3—21no—
422C3×Dic3—41no—
423C3×Dic3—41no—
424C3×Dic3—41no—
425C3×Dic3—41no—
426C22×Q8—31no—
427C22×Q8—31no—
428C2×Q16—31no—
429C2×Q16—31no—
430C2×Q16—91no—
431C2×M16—31no—
432C22×C8—91no—
433C4⋊Q8—91no—
434C4⋊Q8—181no—
435#126—181no—
436#125—91no—
437#125—181no—
438#123—181no—
439C22⋊Q8—31no—
440C22⋊Q8—91no—
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—31no—
450#117—181no—
451C2×C4⋊C4—91no—
452#107—91no—
453#106—91no—
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—31no—
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—22no—
476C3×Q8—41no—
477C3×Q8—61no—
478C3×Q8—61no—
479C3×Q8—61no—
480C3×Q8—61no—
481C3×Q8—61no—
482C3×Q8—61no—
483C3×Q8—122no—
484C3×Q8—122no—
485C3×Q8#23512yes—
486C3×Q8#23712yes—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—41no—
495C2×C3×C4—41no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—61no—
503C2×C3×C4—61no—
504C2×C3×C4—122no—
505C2×C3×C4—122no—
506C2×C3×C4C23×D311yescharacteristic
507C2×C3×C4C23×D311yescharacteristic
508#67—62no—
509#67—62no—
510C2×Dic3—21no—
511C2×Dic3—21no—
512C2×Dic3—21no—
513C2×Dic3—21no—
514C2×Dic3—31no—
515C2×Dic3—31no—
516C2×Dic3—31no—
517C2×Dic3—31no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—61no—
523C2×Dic3—61no—
524C2×Dic3—121no—
525C2×Dic3—121no—
526C2×Dic3—122no—
527C2×Dic3D3×D411yescharacteristic
528C2×Dic3D3×D411yescharacteristic
529C4×D3—21no—
530C4×D3—21no—
531C4×D3—21no—
532C4×D3—21no—
533C4×D3—42no—
534C4×D3—42no—
535C4×D3—122no—
536Dic6—21no—
537Dic6—21no—
538Dic6—21no—
539Dic6—21no—
540Dic6—21no—
541Dic6—21no—
542Dic6—42no—
543Dic6—42no—
544C3×C8—21no—
545C3×C8—21no—
546C3×C8—41no—
547C3×C8—61no—
548C3×C8—61no—
549C3⋊C8—21no—
550C3⋊C8—21no—
551C3⋊C8—61no—
552C3⋊C8—61no—
553C3⋊C8—121no—
554C2×C32#54611yescharacteristic
555C2×C32C2×#13711yescharacteristic
556C2×C32#57811yescharacteristic
557C3×D3—22no—
558C3×D3—41no—
559C2×Q8—31no—
560C2×Q8—31no—
561C2×Q8—31no—
562C2×Q8—61no—
563C2×Q8—61no—
564C2×Q8—62no—
565C2×Q8—62no—
566C2×Q8—121no—
567C2×Q8—121no—
568C2×Q8C2×D3211yescharacteristic
569C2×D4—91no—
570C22×C4—31no—
571C22×C4—31no—
572C22×C4—61no—
573C22×C4—61no—
574C22×C4—181no—
575Q16—62no—
576Q16—121no—
577Q16—361no—
578M16—121no—
579C2×C8—31no—
580C2×C8—31no—
581C2×C8—91no—
582C2×C8—361no—
583C2×C8C2×D3211yescharacteristic
584C4⋊C4—31no—
585C4⋊C4—61no—
586C4⋊C4—91no—
587C4⋊C4—91no—
588C4⋊C4—91no—
589C4⋊C4—181no—
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—61no—
601C22⋊C4—61no—
602C22⋊C4—91no—
603C22⋊C4—91no—
604C22⋊C4—181no—
605C22⋊C4—181no—
606C22⋊C4—181no—
607C42—61no—
608C42—91no—
609C42—181no—
610C42—181no—
611C22×C3—21no—
612C22×C3—32no—
613C22×C3—61no—
614C22×C3—61no—
615C22×C3—61no—
616C22×C3—61no—
617C22×C3—61no—
618C22×C3C2×D3×D411yescharacteristic
619C22×C3C2×D3×D411yescharacteristic
620C2×D3—21no—
621C2×D3—21no—
622C2×D3—21no—
623C2×D3—21no—
624C2×D3—21no—
625C2×D3#91812yes—
626C3×C4—22no—
627C3×C4—22no—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—42no—
631C3×C4—41no—
632C3×C4—41no—
633C3×C4—61no—
634C3×C4—61no—
635C3×C4—81no—
636C3×C4—121no—
637C3×C4—121no—
638C3×C4—121no—
639C3×C4—121no—
640C3×C4C2×#23511yescharacteristic
641C3×C4C2×#23711yescharacteristic
642C3×C4#100411yescharacteristic
643C3×C4#100411yescharacteristic
644Dic3—21no—
645Dic3—21no—
646Dic3—41no—
647Dic3—41no—
648Dic3—41no—
649Dic3—41no—
650Dic3—61no—
651Dic3—61no—
652Dic3—61no—
653Dic3—61no—
654Dic3—121no—
655Dic3—121no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—121no—
660Dic3—241no—
661Dic3—241no—
662C32#331211yescharacteristic, complemented, Sylow
663C23—31no—
664C23—31no—
665Q8—21no—
666Q8—61no—
667Q8—61no—
668Q8—61no—
669Q8—61no—
670Q8—61no—
671Q8—61no—
672Q8—122no—
673Q8—122no—
674Q8#379512yes—
675D4—182no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—31no—
679C2×C4—31no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—91no—
689C2×C4—91no—
690C2×C4—122no—
691C2×C4—122no—
692C2×C4—181no—
693C2×C4—181no—
694C2×C4—362no—
695C2×C4C22×D3211yescharacteristic
696C8—21no—
697C8—61no—
698C8—61no—
699C8—181no—
700C2×C3—21no—
701C2×C3—21no—
702C2×C3—21no—
703C2×C3—62no—
704C2×C3—121no—
705C2×C3#549011yescharacteristic
706C2×C3#559111yescharacteristic
707C2×C3C2×#91811yescharacteristic
708C2×C3D3×#13711yescharacteristic
709C2×C3#577911yescharacteristic
710C2×C3#577911yescharacteristic
711D3—22no—
712D3—41no—
713C22—32no—
714C22—61no—
715C22—61no—
716C22—61no—
717C22—61no—
718C22—61no—
719C22D32×D411yescharacteristic
720C4—22no—
721C4—41no—
722C4—61no—
723C4—61no—
724C4—121no—
725C4—121no—
726C4—121no—
727C4—121no—
728C4—181no—
729C4—181no—
730C4—361no—
731C4—361no—
732C4C2×#379511yescharacteristic
733C4#6431311yescharacteristic
734C3—21no—
735C3#7896611yescharacteristic, complemented
736C3#8019511yescharacteristic, complemented
737C2—62no—
738C2—121no—
739C2#1059418411yescharacteristic
740C2#1059475211yescharacteristic
741C2D3×#91811yescharacteristic
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. #10592498C2semidirect
4. C3×#4809C2semidirect
5. C3×#4802C2semidirect
6. #10591594C2semidirect
7. #10591582C2semidirect
8. D3×#835C2semidirect
9. #10590854C2semidirect
10. #10590798C2semidirect
12. #10590675C2semidirect
13. #10590568C2semidirect
14. #10590521C2semidirect
15. #10590518C2semidirect
79. #4809D3semidirect
81. #4802D3semidirect
662. C32#3312semidirect
735. C3#78966semidirect
736. C3#80195semidirect

Maximal subgroups

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

subgroupindex
Q8×#6252
#105944562
#105924982
C3×#48092
C3×#48022
#105915942
#105915822
D3×#8352
#105908542
#105907982
#105907242
#105906752
#105905682
#105905212
#105905182
#801953
#789663