Finite Group Databasebeta

← #11872941

Subgroups — #11872941

Order 1152.

830 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595346C211yesmaximal, characteristic, complemented
2#10595222C211yesmaximal, characteristic, complemented
3#10592864C211yesmaximal, characteristic, complemented
4C3×#5173C211yesmaximal, characteristic, complemented
5C3×#5164C211yesmaximal, characteristic, complemented
6#10591579C211yesmaximal, characteristic, complemented
7Dic3×#216C211yesmaximal, characteristic, complemented
8#10591551C211yesmaximal, characteristic, complemented
9#10591494C211yesmaximal, characteristic, complemented
10#10591452C211yesmaximal, characteristic
11#10591400C211yesmaximal, characteristic, complemented
12#10590817C211yesmaximal, characteristic, complemented
13#10590795C211yesmaximal, characteristic, complemented
14#10590697C211yesmaximal, characteristic, complemented
15#10590679C211yesmaximal, characteristic, complemented
16#80218—31nomaximal
17#79788—31nomaximal
18C2×C3×#237C2211yescharacteristic
19C2×C32×SD16C2211yescharacteristic
20#64156C2211yescharacteristic
21D4×C3⋊Dic3C2211yescharacteristic
22C2×#3753C2211yescharacteristic
23C3×#946C2211yescharacteristic
24C3×Q8×Dic3C2211yescharacteristic
25C2×C3×#216C2211yescharacteristic
26C3×D4×Dic3C2211yescharacteristic
27#67⋊Dic3—21no—
28Dic3×#67—21no—
29C2×Dic3⋊Dic3—21no—
30#63955—21no—
31#63919C2211yescharacteristic
32#63909C2211yescharacteristic
33#63895—21no—
34#63894C2211yescharacteristic
35D3×C4⋊Dic3C2211yescharacteristic
36#63868—21no—
37#63855C2211yescharacteristic
38#63854—21no—
39#63852—21no—
40#63843C2211yescharacteristic
41Dic3×Dic6C2211yescharacteristic
42C2×#3717C2211yescharacteristic
43#63662C2211yescharacteristic
44#63648C2211yescharacteristic
45#63641C2211yescharacteristic
46C3×#835C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×#832C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#818C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#815C2211yescharacteristic
53#63576C2211yescharacteristic
54#63575C2211yescharacteristic
55#63575C2211yescharacteristic
56#63572C2211yescharacteristic
57#63565C2211yescharacteristic
58#63564C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5827—31no—
62#5643—31no—
63#5582—31no—
64#5546—31no—
65C3×#452—31no—
66C3×#440—31no—
67#5238—31no—
68#5185—31no—
69Dic3×Q16—31no—
70#5173D311yescharacteristic, complemented
71#5165—31no—
72#5165—31no—
73#5165—61no—
74#5164D311yescharacteristic, complemented
75#5044—31no—
76C4×#216—31no—
77C4×#213—31no—
78#4882—31no—
79#4875—31no—
80#4817—31no—
81#4811—31no—
82#4798—31no—
83#4793—31no—
84#4781—31no—
85#4759—31no—
86#4759—31no—
87#4756—31no—
88#4736—31no—
89#4720—31no—
90#4710—31no—
91#4709—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×D4C2311yescharacteristic
94C22×C3⋊Dic3—21no—
95C2×C4⋊(C3⋊D3)C2311yescharacteristic
96C2×C3×#67—21no—
97C22×C3×Dic3—21no—
98C22×C3×Dic3—21no—
99C3×#237—22no—
100C3×#237—22no—
101C2×C3×C4×D3C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×#627—21no—
104C2×#626—21no—
105C2×#624—21no—
106C2×D3×Dic3—21no—
107C32×SD16—22no—
108C2×C32×C8C2311yescharacteristic
109#3757—21no—
110#3753—22no—
111#3752—21no—
112#3752—21no—
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C4×C3⋊Dic3C2311yescharacteristic
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C3×#217—21no—
117C3×#216—22no—
118C3×(C2×D3)⋊C4—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128#3724—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3D411yescharacteristic
133Dic3⋊Dic3D411yescharacteristic
134#3722—21no—
135#3722—21no—
136(C2×D3)⋊Dic3D411yescharacteristic
137(C2×D3)⋊Dic3D411yescharacteristic
138Dic32—21no—
139Dic32—21no—
140#3717—22no—
141#3124—91noSylow
142C2×C3×#41—31no—
143C2×#237C2×D311yescharacteristic
144C2×C3×Q16—31no—
145C2×C3×SD16—21no—
146C2×C3×SD16C2×D311yescharacteristic
147C2×C3×SD16C2×D311yescharacteristic
148C3×C22⋊Q8—31no—
149C3×C4×Q8—31no—
150C3×C4×D4—31no—
151#947—31no—
152#947—31no—
153#947—61no—
154#946C2×D311yescharacteristic
155Q8×Dic3—31no—
156Q8×Dic3—31no—
157Q8×Dic3C2×D311yescharacteristic
158C2×#216C2×D311yescharacteristic
159C2×#215—31no—
160D4×Dic3—31no—
161D4×Dic3—31no—
162D4×Dic3—61no—
163D4×Dic3—61no—
164D4×Dic3—61no—
165D4×Dic3C2×D311yescharacteristic
166C2×#213—31no—
167C2×#213—31no—
168C2×#213—61no—
169#930—31no—
170C4×#67—61no—
171#926—31no—
172#926—61no—
173C2×C4⋊Dic3—31no—
174C2×C4⋊Dic3—61no—
175C2×Dic3⋊C4—61no—
176C2×#204—31no—
177#898—61no—
178#897—61no—
179#896—61no—
180#895—31no—
181#894—61no—
182#893—31no—
183D3×C4⋊C4—31no—
184#888—31no—
185#888—31no—
186#887—31no—
187#885—61no—
188#883—61no—
189#67⋊C4—61no—
190#877—61no—
191#876—61no—
192#875—61no—
193C4×D12—31no—
194#872—31no—
195C4×Dic6—31no—
196C3×#107—31no—
197C3×#103—31no—
198C3×#103—31no—
199C3×#102—31no—
200C3×#102—31no—
201C3×C22⋊C8—31no—
202C3×#97—31no—
203#835—31no—
204#835—31no—
205#835—31no—
206#835—61no—
207#835C2×D311yescharacteristic
208#832C2×D311yescharacteristic
209#832C2×D311yescharacteristic
210#830—31no—
211#821—31no—
212#821—31no—
213#821—31no—
214#821—61no—
215(C2×D3)⋊C8—31no—
216(C2×D3)⋊C8C2×D311yescharacteristic
217#818—31no—
218#818—31no—
219#818C2×D311yescharacteristic
220#816C2×D311yescharacteristic
221#815C2×D311yescharacteristic
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8—31no—
225Dic3⋊C8—31no—
226Dic3⋊C8—61no—
227C8×Dic3—31no—
228#810—31no—
229#809—31no—
230#807—31no—
231#807—31no—
232#807—31no—
233#807—31no—
234C4×C3⋊C8—31no—
235C23×C32—21no—
236C22×C3⋊D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×Q8—21no—
239C32×Q8—21no—
240C32×D4—21no—
241C32×D4#4112yes—
242C2×C32×C4—21no—
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—81no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C2×C3⋊Dic3C2×D411yescharacteristic
248C4⋊(C3⋊D3)—21no—
249C4⋊(C3⋊D3)—21no—
250C3×#67—24no—
251C2×C3×Dic3—24no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—81no—
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C2×C3×Dic3C2×D411yescharacteristic
260C3×C4×D3—21no—
261C3×C4×D3—21no—
262C3×Dic6—21no—
263C3×Dic6#4112yes—
264#627—81no—
265#626—81no—
266#624—81no—
267D3×Dic3—81no—
268C32×C8—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#542—91no—
273#520—91no—
274#484—91no—
275#480—91no—
276#477—91no—
277#474—91no—
278#464—91no—
279#463—91no—
280#452—31no—
281#449—91no—
282#440—31no—
283#440—91no—
284C4×Q16—91no—
285C4×D8—91no—
286#433—91no—
287C3×#41—62no—
288C3×#41—62no—
289C2×C3×Q8—21no—
290C2×C3×Q8—31no—
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×D4—21no—
294C2×C3×D4—61no—
295C2×C3×D4C22×D311yescharacteristic
296C2×C3×D4C22×D311yescharacteristic
297C22×C3×C4—31no—
298C22×C3×C4—61no—
299C22×C3×C4—61no—
300C2×#67—21no—
301C2×#67—61no—
302C22×Dic3—21no—
303C22×Dic3—21no—
304C22×Dic3—61no—
305C22×Dic3—61no—
306C22×Dic3—61no—
307C22×Dic3—121no—
308#237—22no—
309#237—22no—
310C2×D12—31no—
311C2×D12—31no—
312C2×D12—61no—
313C2×D12—61no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3C22×D311yescharacteristic
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×Dic6C22×D311yescharacteristic
321C3×Q16—62no—
322C3×SD16—22no—
323C3×SD16—22no—
324C3×SD16—42no—
325C2×C3×C8—21no—
326C2×C3×C8—31no—
327C2×C3×C8—31no—
328C2×C3×C8C22×D311yescharacteristic
329C2×C3×C8C22×D311yescharacteristic
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—31no—
333C3×C4⋊C4—61no—
334C3×C4⋊C4—61no—
335C3×C22⋊C4—61no—
336C3×C22⋊C4—61no—
337C3×C42—31no—
338C3×C42—61no—
339#217—21no—
340#217—31no—
341#217—31no—
342#217—61no—
343#217—61no—
344#217—121no—
345#216—22no—
346#215—62no—
347#213—62no—
348#213—62no—
349#213—122no—
350(C2×D3)⋊C4—21no—
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—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—121no—
362(C2×D3)⋊C4—121no—
363C4⋊Dic3—21no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—31no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3C22×D311yescharacteristic
373C4⋊Dic3C22×D311yescharacteristic
374C4⋊Dic3C22×D311yescharacteristic
375Dic3⋊C4—21no—
376Dic3⋊C4—31no—
377Dic3⋊C4—31no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383C4×Dic3—21no—
384C4×Dic3—31no—
385C4×Dic3—31no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3C22×D311yescharacteristic
392C2×C3⋊C8—31no—
393C2×C3⋊C8—31no—
394C2×C3⋊C8—61no—
395C2×C3⋊C8C22×D311yescharacteristic
396C2×C3⋊C8C22×D311yescharacteristic
397#204—62no—
398C22×C32—22no—
399C22×C32—41no—
400C22×C32—41no—
401C22×C32C22×D411yescharacteristic
402C2×C3⋊D3—41no—
403C2×C3⋊D3—41no—
404C2×C3⋊D3—41no—
405C2×C3×D3—21no—
406C2×C3×D3—21no—
407C2×C3×D3—21no—
408C32×C4—41no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—21no—
412C3⋊Dic3—21no—
413C3⋊Dic3—41no—
414C3×Dic3—22no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C3×Dic3—41no—
421C2×#41—31no—
422C2×Q16—31no—
423C2×SD16—91no—
424C2×SD16D3211yescharacteristic
425C2×D8—91no—
426C4⋊Q8—91no—
427#126—181no—
428#124—91no—
429#124—181no—
430#123—181no—
431C22⋊Q8—31no—
432C22⋊Q8—181no—
433#121—91no—
434C4×Q8—31no—
435C4×Q8—91no—
436C4×Q8—91no—
437C4×D4—31no—
438C4×D4—91no—
439C4×D4—91no—
440C4×D4—181no—
441C4×D4—181no—
442#117—91no—
443#117—181no—
444C2×C4⋊C4—91no—
445C2×C4⋊C4—181no—
446#107—31no—
447#107—91no—
448#107—91no—
449#107—91no—
450C4⋊C8—91no—
451C4⋊C8—91no—
452#103—31no—
453#103—31no—
454#103—91no—
455#103—91no—
456#102—31no—
457#102—31no—
458#102—91no—
459#102—91no—
460C22⋊C8—31no—
461C22⋊C8—91no—
462#97—31no—
463C4×C8—91no—
464C23×C3—21no—
465C23×C3—21no—
466C23×C3—31no—
467C23×C3—41no—
468C22×D3—61no—
469C22×D3—61no—
470C22×D3—121no—
471C22×D3D3×D411yescharacteristic
472C3×Q8—21no—
473C3×Q8—21no—
474C3×Q8—21no—
475C3×Q8—21no—
476C3×Q8—32no—
477C3×Q8—41no—
478C3×Q8—41no—
479C3×Q8—61no—
480C3×D4—21no—
481C3×D4—21no—
482C3×D4—22no—
483C3×D4—41no—
484C3×D4—64no—
485C3×D4#23512yes—
486C3×D4#23712yes—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—31no—
491C2×C3×C4—31no—
492C2×C3×C4—31no—
493C2×C3×C4—41no—
494C2×C3×C4—64no—
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—241no—
502C2×C3×C4C23×D311yescharacteristic
503C2×C3×C4C23×D311yescharacteristic
504#67—24no—
505#67—241no—
506C2×Dic3—24no—
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—81no—
520C2×Dic3—121no—
521C2×Dic3—241no—
522C2×Dic3—241no—
523C2×Dic3—241no—
524C2×Dic3—242no—
525C2×Dic3D3×D411yescharacteristic
526C2×Dic3D3×D411yescharacteristic
527C2×Dic3D3×D411yescharacteristic
528D12—61no—
529D12—61no—
530D12—61no—
531D12—61no—
532D12—121no—
533D12—121no—
534D12—241no—
535C4×D3—21no—
536C4×D3—21no—
537C4×D3—241no—
538C4×D3—241no—
539C4×D3—241no—
540Dic6—21no—
541Dic6—241no—
542Dic6—241no—
543Dic6#23712yes—
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—42no—
555C2×C32#52511yescharacteristic
556C2×C32#57611yescharacteristic
557C2×C32#57811yescharacteristic
558C3⋊D3—81no—
559C3×D3—41no—
560#41—62no—
561#41—62no—
562C2×Q8—31no—
563C2×Q8—181no—
564C2×Q8C2×D3211yescharacteristic
565C2×D4—61no—
566C2×D4—91no—
567C2×D4—181no—
568C2×D4C2×D3211yescharacteristic
569C22×C4—31no—
570C22×C4—61no—
571C22×C4—61no—
572C22×C4—181no—
573C22×C4—181no—
574C22×C4—181no—
575Q16—62no—
576SD16—22no—
577SD16—182no—
578D8—182no—
579C2×C8—31no—
580C2×C8—31no—
581C2×C8—91no—
582C2×C8C2×D3211yescharacteristic
583C4⋊C4—31no—
584C4⋊C4—31no—
585C4⋊C4—31no—
586C4⋊C4—61no—
587C4⋊C4—61no—
588C4⋊C4—91no—
589C4⋊C4—91no—
590C4⋊C4—91no—
591C4⋊C4—181no—
592C4⋊C4—181no—
593C4⋊C4—181no—
594C4⋊C4—181no—
595C22⋊C4—61no—
596C22⋊C4—61no—
597C22⋊C4—91no—
598C22⋊C4—91no—
599C22⋊C4—181no—
600C22⋊C4—181no—
601C22⋊C4—181no—
602C22⋊C4—181no—
603C22⋊C4—181no—
604C42—31no—
605C42—61no—
606C42—91no—
607C42—181no—
608C42—181no—
609C22×C3—22no—
610C22×C3—22no—
611C22×C3—21no—
612C22×C3—42no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3—61no—
618C22×C3—61no—
619C22×C3—61no—
620C22×C3—81no—
621C22×C3—81no—
622C22×C3C2×D3×D411yescharacteristic
623C22×C3C2×D3×D411yescharacteristic
624C2×D3—21no—
625C2×D3—21no—
626C2×D3—21no—
627C2×D3—121no—
628C2×D3—121no—
629C2×D3—121no—
630C2×D3—121no—
631C2×D3—121no—
632C2×D3—121no—
633C2×D3—241no—
634C2×D3—241no—
635C2×D3—241no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—61no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—62no—
644C3×C4—81no—
645C3×C4—121no—
646C3×C4—121no—
647C3×C4—121no—
648C3×C4C2×#23511yescharacteristic
649C3×C4C2×#23711yescharacteristic
650C3×C4C2×#23711yescharacteristic
651C3×C4D3×#4111yescharacteristic
652Dic3—21no—
653Dic3—21no—
654Dic3—22no—
655Dic3—21no—
656Dic3—41no—
657Dic3—41no—
658Dic3—41no—
659Dic3—61no—
660Dic3—61no—
661Dic3—61no—
662Dic3—61no—
663Dic3—121no—
664Dic3—121no—
665Dic3—121no—
666Dic3—121no—
667Dic3—241no—
668C32#312411yescharacteristic, complemented, Sylow
669C23—21no—
670C23—31no—
671C23—181no—
672Q8—21no—
673Q8—21no—
674Q8—32no—
675Q8—61no—
676Q8—721no—
677D4—21no—
678D4—64no—
679D4—181no—
680D4—181no—
681D4—721no—
682D4#380412yes—
683C2×C4—21no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—31no—
687C2×C4—64no—
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—181no—
697C2×C4—241no—
698C2×C4—721no—
699C2×C4—721no—
700C2×C4—721no—
701C2×C4C22×D3211yescharacteristic
702C8—21no—
703C8—61no—
704C8—61no—
705C8—181no—
706C2×C3—21no—
707C2×C3—21no—
708C2×C3—21no—
709C2×C3—42no—
710C2×C3—42no—
711C2×C3—82no—
712C2×C3—121no—
713C2×C3#554711yescharacteristic
714C2×C3#558611yescharacteristic
715C2×C3#576911yescharacteristic
716C2×C3#577411yescharacteristic
717C2×C3#577911yescharacteristic
718C2×C3#577911yescharacteristic
719D3—41no—
720D3—241no—
721D3—241no—
722D3—481no—
723C22—22no—
724C22—41no—
725C22—41no—
726C22—61no—
727C22—61no—
728C22—61no—
729C22—361no—
730C22—361no—
731C22—361no—
732C22D32×D411yescharacteristic
733C4—41no—
734C4—61no—
735C4—62no—
736C4—61no—
737C4—61no—
738C4—121no—
739C4—121no—
740C4—121no—
741C4—181no—
742C4—181no—
743C4—361no—
744C4D3×#23711yescharacteristic
745C4C2×#380411yescharacteristic
746C3—21no—
747C3#7978811yescharacteristic, complemented
748C3#8021811yescharacteristic, complemented
749C2—42no—
750C2—121no—
751C2—721no—
752C2#1059475211yescharacteristic
753C2#1059475511yescharacteristic
754C2#1059512911yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×SD16C22
socleC22×C32C22×D4
prime radical#10591452C2
hypercenterC2×SD16D32
hypocenterC32#3124
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×SD16

Complements

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

NH ≅ G/Ntype
1. #10595346C2semidirect
2. #10595222C2semidirect
3. #10592864C2semidirect
4. C3×#5173C2semidirect
5. C3×#5164C2semidirect
6. #10591579C2semidirect
7. Dic3×#216C2semidirect
8. #10591551C2semidirect
9. #10591494C2semidirect
11. #10591400C2semidirect
12. #10590817C2semidirect
13. #10590795C2semidirect
14. #10590697C2semidirect
15. #10590679C2semidirect
70. #5173D3semidirect
74. #5164D3semidirect
668. C32#3124semidirect
747. C3#79788semidirect
748. C3#80218semidirect

Maximal subgroups

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

subgroupindex
#105953462
#105952222
#105928642
C3×#51732
C3×#51642
#105915792
Dic3×#2162
#105915512
#105914942
#105914522
#105914002
#105908172
#105907952
#105906972
#105906792
#802183
#797883