Finite Group Databasebeta

← #11889423

Subgroups — #11889423

Order 1152.

809 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595403C211yesmaximal, characteristic
2#10595344C211yesmaximal, characteristic
3#10592887C211yesmaximal, characteristic, complemented
4C3×#5186C211yesmaximal, characteristic, complemented
5C3×#5182C211yesmaximal, characteristic, complemented
6#10591654C211yesmaximal, characteristic, complemented
7#10591638C211yesmaximal, characteristic, complemented
8#10591613C211yesmaximal, characteristic, complemented
9#10591576C211yesmaximal, characteristic, complemented
10#10591557C211yesmaximal, characteristic, complemented
11#10591553C211yesmaximal, characteristic, complemented
12#10590811C211yesmaximal, characteristic, complemented
13#10590737C211yesmaximal, characteristic
14#10590710C211yesmaximal, characteristic, complemented
15#10590672C211yesmaximal, characteristic, complemented
16#80493—31nomaximal
17#80196—31nomaximal
18C2×C3×D3×Q8C2211yescharacteristic
19C2×#3797C2211yescharacteristic
20C2×C32×Q16C2211yescharacteristic
21#64155C2211yescharacteristic
22#64155C2211yescharacteristic
23C2×C8×C3⋊D3C2211yescharacteristic
24C3×#946C2211yescharacteristic
25C3×Q8×Dic3C2211yescharacteristic
26C3×#944C2211yescharacteristic
27C2×C3×#216C2211yescharacteristic
28C2×C3×#216C2211yescharacteristic
29#63904—21no—
30C4×#626C2211yescharacteristic
31#63900C2211yescharacteristic
32#63888—21no—
33#63869C2211yescharacteristic
34#63859—21no—
35#63856C2211yescharacteristic
36#63854—21no—
37#63851—21no—
38#63847—21no—
39Dic3×Dic6C2211yescharacteristic
40#63841C2211yescharacteristic
41#63839—21no—
42#63836—21no—
43C2×#3711C2211yescharacteristic
44#63662C2211yescharacteristic
45#63662C2211yescharacteristic
46#63645C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#835C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×Dic3⋊C8C2211yescharacteristic
53#63573C2211yescharacteristic
54#63573C2211yescharacteristic
55#63566C2211yescharacteristic
56#63566C2211yescharacteristic
57#63565C2211yescharacteristic
58#63565C2211yescharacteristic
59#63557C2211yescharacteristic
60#63554C2211yescharacteristic
61Q8×#67—31no—
62#5727—31no—
63#5639—31no—
64#5581—31no—
65C3×#462—31no—
66C3×#451—31no—
67#5225—31no—
68#5189—31no—
69#5188—31no—
70#5188—31no—
71#5188—61no—
72#5186—31no—
73#5186—31no—
74#5186D311yescharacteristic, complemented
75#5184—31no—
76#5182D311yescharacteristic, complemented
77#5082—31no—
78#5052—31no—
79#5030—31no—
80#4836—31no—
81#4829—31no—
82#4814—31no—
83#4805—31no—
84#4805—31no—
85#4802—31no—
86D3×#103—31no—
87D3×#103—31no—
88#4797—31no—
89#4796—31no—
90#4728—31no—
91#4723—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×Q8C2311yescharacteristic
94C2×C4×C3⋊D3C2311yescharacteristic
95C3×D3×Q8—22no—
96C3×D3×Q8—41no—
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×Dic6—21no—
100C2×C3×Dic6C2311yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×#627—21no—
103C2×#626D411yescharacteristic
104C2×#624—21no—
105C2×#624—21no—
106#3797—22no—
107#3797—41no—
108C32×Q16—41no—
109C2×C32×C8C2311yescharacteristic
110#3752—21no—
111#3752—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114#3750—21no—
115#3750—21no—
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C8×C3⋊D3—41no—
118C3×#216—22no—
119C3×#216—41no—
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3—21no—
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×Dic3⋊C4—21no—
127C3×C4×Dic3—21no—
128C3×C4×Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131#3724—21no—
132#3724—21no—
133#3724—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3—21no—
136Dic3⋊Dic3D411yescharacteristic
137#3722D411yescharacteristic
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3—21no—
140(C2×D3)⋊Dic3D411yescharacteristic
141Dic32—21no—
142Dic32—21no—
143#3711—41no—
144#3312—91noSylow
145C22×C3×Q8—31no—
146C2×D3×Q8—31no—
147C2×D3×Q8—31no—
148C2×D3×Q8C2×D311yescharacteristic
149C2×C3×Q16—21no—
150C2×C3×Q16—31no—
151C2×C3×Q16—31no—
152C2×C3×Q16C2×D311yescharacteristic
153C2×C3×Q16C2×D311yescharacteristic
154C3×C4⋊Q8—31no—
155C3×C22⋊Q8—31no—
156C3×C4×Q8—31no—
157#946—31no—
158#946—31no—
159#946—31no—
160#946—31no—
161#946—31no—
162#946—61no—
163#946—61no—
164#946—61no—
165#946C2×D311yescharacteristic
166Q8×Dic3—31no—
167Q8×Dic3C2×D311yescharacteristic
168#944—61no—
169#944C2×D311yescharacteristic
170C2×#216C2×D311yescharacteristic
171C2×#216C2×D311yescharacteristic
172C4×#67—31no—
173C4×#67—61no—
174#926—31no—
175#924—31no—
176#924—61no—
177C2×#208—31no—
178C2×ΓL(1,𝔽25)—31no—
179C2×D3×C8—31no—
180C2×D3×C8—31no—
181C2×D3×C8—61no—
182#896—61no—
183#896—61no—
184#894—61no—
185#893—61no—
186#892—31no—
187#892—61no—
188D3×C4⋊C4—31no—
189D3×C4⋊C4—31no—
190#890—31no—
191#889—61no—
192#889—61no—
193#888—61no—
194#883—61no—
195#879—61no—
196#876—61no—
197C4×D12—31no—
198#872—61no—
199#870—31no—
200C4×Dic6—31no—
201C3×C4⋊C8—31no—
202C3×#103—31no—
203C3×#103—31no—
204C3×#103—31no—
205C3×#103—31no—
206C3×C22⋊C8—31no—
207#835—31no—
208#835—31no—
209#835—31no—
210#835—31no—
211#835—31no—
212#835—31no—
213#835—31no—
214#835—31no—
215#835—61no—
216#835—61no—
217#835C2×D311yescharacteristic
218#835C2×D311yescharacteristic
219(C2×D3)⋊C8—31no—
220(C2×D3)⋊C8—31no—
221(C2×D3)⋊C8C2×D311yescharacteristic
222#818—31no—
223#818—31no—
224#818—61no—
225#817—31no—
226#817—31no—
227#816—31no—
228#816—31no—
229#816C2×D311yescharacteristic
230#816C2×D311yescharacteristic
231#815—31no—
232Dic3⋊C8C2×D311yescharacteristic
233#810—31no—
234#810—31no—
235#808—31no—
236#808—31no—
237#803—31no—
238C22×C3⋊D3C2×D411yescharacteristic
239C22×C3×D3C2×D411yescharacteristic
240C32×Q8—21no—
241C32×Q8—21no—
242C32×Q8—21no—
243C32×Q8—21no—
244C2×C32×C4—21no—
245C2×C32×C4—21no—
246C2×C32×C4C2411yescharacteristic
247C2×C3⋊Dic3—21no—
248C2×C3⋊Dic3—21no—
249C2×C3⋊Dic3C2×D411yescharacteristic
250C4×C3⋊D3—21no—
251C4×C3⋊D3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×C4×D3—42no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—42no—
266C3×Dic6#4112yes—
267#627—42no—
268#626—22no—
269#624—42no—
270#624—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—31no—
284#451—31no—
285#451—91no—
286#441—91no—
287#435—91no—
288#419—91no—
289C2×#103—91no—
290C2×C3×Q8—21no—
291C2×C3×Q8—21no—
292C2×C3×Q8—31no—
293C2×C3×Q8—31no—
294C2×C3×Q8—61no—
295C2×C3×Q8—62no—
296C2×C3×Q8—121no—
297C2×C3×Q8C22×D311yescharacteristic
298C2×C3×Q8C22×D311yescharacteristic
299C2×C3×Q8C22×D311yescharacteristic
300C2×C3×Q8C22×D311yescharacteristic
301C22×C3×C4—31no—
302C22×C3×C4—61no—
303C2×#67—31no—
304D3×Q8—22no—
305D3×Q8—41no—
306D3×Q8—62no—
307D3×Q8—62no—
308D3×Q8—121no—
309D3×Q8—121no—
310C2×D12—31no—
311C2×C4×D3—21no—
312C2×C4×D3—31no—
313C2×C4×D3—31no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×C4×D3—61no—
319C2×C4×D3C22×D311yescharacteristic
320C2×Dic6—21no—
321C2×Dic6—61no—
322C2×Dic6—61no—
323C2×Dic6C22×D311yescharacteristic
324C2×Dic6C22×D311yescharacteristic
325C3×Q16—41no—
326C3×Q16—41no—
327C3×Q16—42no—
328C3×Q16—62no—
329C3×Q16—121no—
330C2×C3×C8—21no—
331C2×C3×C8—31no—
332C2×C3×C8—31no—
333C2×C3×C8C22×D311yescharacteristic
334C2×C3×C8C22×D311yescharacteristic
335C3×C4⋊C4—31no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4—61no—
340C3×C4⋊C4—61no—
341C3×C22⋊C4—61no—
342C3×C42—31no—
343C3×C42—61no—
344#217—31no—
345#217—61no—
346#217—61no—
347#216—22no—
348#216—41no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—31no—
351(C2×D3)⋊C4—31no—
352(C2×D3)⋊C4—31no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—121no—
360(C2×D3)⋊C4—121no—
361C4⋊Dic3—21no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3C22×D311yescharacteristic
372C4⋊Dic3C22×D311yescharacteristic
373Dic3⋊C4—21no—
374Dic3⋊C4—21no—
375Dic3⋊C4—21no—
376Dic3⋊C4—31no—
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—61no—
387Dic3⋊C4—61no—
388Dic3⋊C4—61no—
389Dic3⋊C4—121no—
390Dic3⋊C4—121no—
391C4×Dic3—21no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—61no—
396C4×Dic3C22×D311yescharacteristic
397#208—121no—
398C2×C3⋊C8—31no—
399C2×C3⋊C8—31no—
400C2×C3⋊C8—61no—
401C2×C3⋊C8C22×D311yescharacteristic
402C2×C3⋊C8C22×D311yescharacteristic
403ΓL(1,𝔽25)—121no—
404D3×C8—121no—
405D3×C8—121no—
406D3×C8—122no—
407C22×C32C22×D411yescharacteristic
408C2×C3⋊D3—21no—
409C2×C3⋊D3—21no—
410C2×C3⋊D3#13712yes—
411C2×C3×D3—21no—
412C2×C3×D3—21no—
413C2×C3×D3—21no—
414C32×C4—41no—
415C32×C4—41no—
416C32×C4C2×#4111yescharacteristic
417C32×C4H(5,𝔽2)11yescharacteristic
418C3⋊Dic3—21no—
419C3⋊Dic3—41no—
420C3⋊Dic3—41no—
421C3×Dic3—22no—
422C3×Dic3—21no—
423C3×Dic3—21no—
424C3×Dic3—21no—
425C3×Dic3—41no—
426C3×Dic3—41no—
427C3×Dic3—41no—
428C22×Q8—31no—
429C22×Q8—91no—
430C2×Q16—31no—
431C2×Q16—31no—
432C2×Q16D3211yescharacteristic
433C2×M16—91no—
434C22×C8—91no—
435C4⋊Q8—31no—
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—31no—
448C4×Q8—91no—
449C4×D4—91no—
450C4×D4—181no—
451#117—91no—
452#117—181no—
453C2×C4⋊C4—91no—
454#107—91no—
455#106—91no—
456#106—91no—
457C4⋊C8—31no—
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#103—91no—
468C22⋊C8—31no—
469C22⋊C8—91no—
470#97—91no—
471C23×C3—31no—
472C22×D3—31no—
473C22×D3—31no—
474C22×D3—61no—
475C22×D3D3×D411yescharacteristic
476C3×Q8—21no—
477C3×Q8—21no—
478C3×Q8—21no—
479C3×Q8—21no—
480C3×Q8—21no—
481C3×Q8—21no—
482C3×Q8—21no—
483C3×Q8—21no—
484C3×Q8—32no—
485C3×Q8—41no—
486C3×Q8—41no—
487C3×Q8—41no—
488C3×Q8—41no—
489C3×Q8—61no—
490C3×Q8—61no—
491C3×Q8—61no—
492C3×Q8—122no—
493C2×C3×C4—21no—
494C2×C3×C4—21no—
495C2×C3×C4—21no—
496C2×C3×C4—21no—
497C2×C3×C4—21no—
498C2×C3×C4—31no—
499C2×C3×C4—31no—
500C2×C3×C4—31no—
501C2×C3×C4—41no—
502C2×C3×C4—41no—
503C2×C3×C4—61no—
504C2×C3×C4—61no—
505C2×C3×C4—61no—
506C2×C3×C4—61no—
507C2×C3×C4—61no—
508C2×C3×C4—61no—
509C2×C3×C4—122no—
510C2×C3×C4C23×D311yescharacteristic
511C2×C3×C4C23×D311yescharacteristic
512#67—62no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—31no—
518C2×Dic3—31no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—61no—
523C2×Dic3—61no—
524C2×Dic3—121no—
525C2×Dic3—121no—
526C2×Dic3D3×D411yescharacteristic
527C2×Dic3D3×D411yescharacteristic
528C2×Dic3D3×D411yescharacteristic
529D12—62no—
530C4×D3—21no—
531C4×D3—21no—
532C4×D3—42no—
533C4×D3—61no—
534C4×D3—61no—
535C4×D3—61no—
536C4×D3—61no—
537C4×D3—121no—
538C4×D3—121no—
539C4×D3—122no—
540C4×D3—122no—
541C4×D3—122no—
542C4×D3—122no—
543Dic6—21no—
544Dic6—21no—
545Dic6—21no—
546Dic6—42no—
547Dic6—122no—
548Dic6—122no—
549Dic6#23712yes—
550C3×C8—22no—
551C3×C8—21no—
552C3×C8—21no—
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—31no—
567C2×Q8—61no—
568C2×Q8—62no—
569C2×Q8—121no—
570C2×Q8—181no—
571C2×Q8—182no—
572C2×Q8—361no—
573C2×Q8C2×D3211yescharacteristic
574C2×Q8C2×D3211yescharacteristic
575C2×D4—91no—
576C22×C4—31no—
577C22×C4—61no—
578C22×C4—91no—
579C22×C4—181no—
580C22×C4—181no—
581Q16—41no—
582Q16—62no—
583Q16—121no—
584M16—361no—
585C2×C8—31no—
586C2×C8—31no—
587C2×C8—91no—
588C2×C8—361no—
589C2×C8C2×D3211yescharacteristic
590C4⋊C4—31no—
591C4⋊C4—31no—
592C4⋊C4—61no—
593C4⋊C4—61no—
594C4⋊C4—61no—
595C4⋊C4—61no—
596C4⋊C4—91no—
597C4⋊C4—91no—
598C4⋊C4—91no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4—181no—
606C22⋊C4—61no—
607C22⋊C4—91no—
608C22⋊C4—91no—
609C22⋊C4—181no—
610C22⋊C4—181no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C42—31no—
614C42—61no—
615C42—181no—
616C42—181no—
617C22×C3—21no—
618C22×C3—61no—
619C22×C3—61no—
620C22×C3—61no—
621C22×C3C2×D3×D411yescharacteristic
622C22×C3C2×D3×D411yescharacteristic
623C2×D3—21no—
624C2×D3—21no—
625C2×D3—21no—
626C2×D3—32no—
627C2×D3—32no—
628C2×D3—62no—
629C2×D3—61no—
630C2×D3—61no—
631C2×D3—61no—
632C2×D3—61no—
633C2×D3—121no—
634C2×D3—121no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—62no—
644C3×C4—61no—
645C3×C4—81no—
646C3×C4—81no—
647C3×C4—121no—
648C3×C4—121no—
649C3×C4—121no—
650C3×C4C2×#23711yescharacteristic
651C3×C4#100411yescharacteristic
652C3×C4#100411yescharacteristic
653C3×C4D3×#4111yescharacteristic
654Dic3—21no—
655Dic3—21no—
656Dic3—22no—
657Dic3—21no—
658Dic3—41no—
659Dic3—41no—
660Dic3—41no—
661Dic3—61no—
662Dic3—61no—
663Dic3—121no—
664Dic3—121no—
665Dic3—121no—
666Dic3—121no—
667Dic3—121no—
668Dic3—241no—
669Dic3—241no—
670C32#331211yescharacteristic, complemented, Sylow
671C23—31no—
672C23—91no—
673Q8—21no—
674Q8—21no—
675Q8—21no—
676Q8—21no—
677Q8—32no—
678Q8—61no—
679Q8—61no—
680Q8—61no—
681Q8—122no—
682Q8—362no—
683D4—182no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—31no—
687C2×C4—31no—
688C2×C4—31no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—61no—
694C2×C4—61no—
695C2×C4—91no—
696C2×C4—122no—
697C2×C4—181no—
698C2×C4—181no—
699C2×C4—181no—
700C2×C4—181no—
701C2×C4—362no—
702C2×C4—362no—
703C2×C4C22×D3211yescharacteristic
704C8—21no—
705C8—61no—
706C8—61no—
707C8—181no—
708C2×C3—21no—
709C2×C3—21no—
710C2×C3—21no—
711C2×C3—121no—
712C2×C3#559111yescharacteristic
713C2×C3#561211yescharacteristic
714C2×C3#576611yescharacteristic
715C2×C3#576611yescharacteristic
716C2×C3D3×#13711yescharacteristic
717C2×C3D3×#13711yescharacteristic
718D3—41no—
719D3—62no—
720D3—62no—
721D3—122no—
722C22—61no—
723C22—61no—
724C22—61no—
725C22—92no—
726C22—181no—
727C22—181no—
728C22D32×D411yescharacteristic
729C4—41no—
730C4—41no—
731C4—61no—
732C4—61no—
733C4—61no—
734C4—62no—
735C4—121no—
736C4—121no—
737C4—121no—
738C4—181no—
739C4—361no—
740C4—361no—
741C4D3×#23711yescharacteristic
742C4#6433011yescharacteristic
743C3—21no—
744C3#8019611yescharacteristic, complemented
745C3#8049311yescharacteristic, complemented
746C2—121no—
747C2—182no—
748C2#1059476011yescharacteristic
749C2#1059476511yescharacteristic
750C2#1059529411yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×Q16C22
socleC22×C32C22×D4
prime radicalC2×#626D4
hypercenterC2×Q16D32
hypocenterC32#3312
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×Q16

Complements

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

NH ≅ G/Ntype
3. #10592887C2semidirect
4. C3×#5186C2semidirect
5. C3×#5182C2semidirect
6. #10591654C2semidirect
7. #10591638C2semidirect
8. #10591613C2semidirect
9. #10591576C2semidirect
10. #10591557C2semidirect
11. #10591553C2semidirect
12. #10590811C2semidirect
14. #10590710C2semidirect
15. #10590672C2semidirect
74. #5186D3semidirect
76. #5182D3semidirect
670. C32#3312semidirect
744. C3#80196semidirect
745. C3#80493semidirect

Maximal subgroups

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

subgroupindex
#105954032
#105953442
#105928872
C3×#51862
C3×#51822
#105916542
#105916382
#105916132
#105915762
#105915572
#105915532
#105908112
#105907372
#105907102
#105906722
#804933
#801963