Finite Group Databasebeta

← #11887677

Subgroups — #11887677

Order 1152.

824 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#10594532C211yesmaximal, characteristic
2#10594526C211yesmaximal, characteristic
3#10592574C211yesmaximal, characteristic, complemented
4C3×#4887C211yesmaximal, characteristic, complemented
5C3×#4884C211yesmaximal, characteristic, complemented
6#10590949C211yesmaximal, characteristic, complemented
7#10590798C211yesmaximal, characteristic, complemented
8#10590717C211yesmaximal, characteristic
9D3×#816C211yesmaximal, characteristic, complemented
10#10590604C211yesmaximal, characteristic, complemented
11D3×#810C211yesmaximal, characteristic, complemented
12#10590567C211yesmaximal, characteristic, complemented
13#10590518C211yesmaximal, characteristic, complemented
14#10590482C211yesmaximal, characteristic, complemented
15#10590440C211yesmaximal, characteristic, complemented
16#81490—31nomaximal
17#80781—31nomaximal
18C2×D3×Dic6C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20#64097C2211yescharacteristic
21#64096C2211yescharacteristic
22C2×C3×Dic12C2211yescharacteristic
23C2×C3×D3×C8C2211yescharacteristic
24C3×#897C2211yescharacteristic
25C3×#897C2211yescharacteristic
26C3×#897C2211yescharacteristic
27C3×D3×C4⋊C4C2211yescharacteristic
28#63919—21no—
29#63902—21no—
30C4×#625C2211yescharacteristic
31#63899—21no—
32#63899—21no—
33#63896—21no—
34D3×C4⋊Dic3C2211yescharacteristic
35#63879—21no—
36#63873C2211yescharacteristic
37#63857—21no—
38#63856C2211yescharacteristic
39#63847—21no—
40#63843C2211yescharacteristic
41C2×#3719C2211yescharacteristic
42C2×#3718C2211yescharacteristic
43C2×D3×C3⋊C8C2211yescharacteristic
44C32×#107C2211yescharacteristic
45#63643C2211yescharacteristic
46#63641C2211yescharacteristic
47#63637C2211yescharacteristic
48#63634C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#810C2211yescharacteristic
54C3×#807C2211yescharacteristic
55#63567C2211yescharacteristic
56#63566C2211yescharacteristic
57#63566C2211yescharacteristic
58#63565C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63553C2211yescharacteristic
61#5635—31no—
62#5632—31no—
63#5632—31no—
64#5511—31no—
65C3×#484—31no—
66C3×#467—31no—
67#5186—31no—
68#5182—31no—
69C8×#67—31no—
70C2×#816—31no—
71#5051—31no—
72#5050—31no—
73#5044—31no—
74C2×#810—31no—
75#4887D311yescharacteristic, complemented
76#4884—31no—
77#4884D311yescharacteristic, complemented
78#4875—31no—
79#4875—31no—
80#4875—61no—
81#4873—31no—
82#4813—31no—
83#4809—31no—
84D3×#103—31no—
85D3×#103—31no—
86#4795—31no—
87#4792—31no—
88#4792—31no—
89#4790—31no—
90#4739—31no—
91#67⋊C8—31no—
92C2×#634—21no—
93C2×#634C2311yescharacteristic
94C2×C3×C4×D3—21no—
95C2×C3×C4×D3C2311yescharacteristic
96C2×C3×C4×D3C2311yescharacteristic
97C2×C3×Dic6C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×#627—21no—
101C2×#627—21no—
102C2×#625D411yescharacteristic
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3—21no—
106D3×Dic6—22no—
107D3×Dic6—22no—
108D3×Dic6—41no—
109D3×Dic6—41no—
110C2×C32×C8C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112C32×C4⋊C4C2311yescharacteristic
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114#3750—21no—
115#3750—21no—
116C4×C3⋊Dic3—21no—
117C4×C3⋊Dic3C2311yescharacteristic
118C2×C3⋊(C3⋊C8)C2311yescharacteristic
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×(C2×D3)⋊C4—21no—
122C3×C4⋊Dic3—21no—
123C3×C4⋊Dic3—21no—
124C3×C4⋊Dic3—21no—
125C3×C4⋊Dic3C2311yescharacteristic
126C3×Dic3⋊C4—21no—
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×Dic12—41no—
130C3×D3×C8—41no—
131#3724—21no—
132#3724—21no—
133#3724—21no—
134#3724D411yescharacteristic
135Dic3⋊Dic3—21no—
136Dic3⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3D411yescharacteristic
139(C2×D3)⋊Dic3D411yescharacteristic
140Dic32—21no—
141#3719—22no—
142#3718—41no—
143D3×C3⋊C8—41no—
144#3299—91noSylow
145C2×D3×Q8—31no—
146C2×D3×Q8—31no—
147C22×Dic6—31no—
148C22×Dic6—31no—
149C2×C3×Q16—31no—
150C22×C3×C8—31no—
151C3×C22⋊Q8—31no—
152C3×C22⋊Q8—31no—
153C3×C22⋊Q8—31no—
154C2×C3×C4⋊C4—31no—
155#946—31no—
156Q8×Dic3—31no—
157#944—31no—
158#944—31no—
159C2×#216—31no—
160C2×#216—31no—
161C2×#216—31no—
162C4×#67—31no—
163C4×#67—31no—
164C4×#67—61no—
165C2×C4⋊Dic3—31no—
166#924—31no—
167#924—61no—
168C22×C3⋊C8—31no—
169C2×Dic12—31no—
170C2×Dic12C2×D311yescharacteristic
171C2×D3×C8—31no—
172C2×D3×C8C2×D311yescharacteristic
173#897—61no—
174#897C2×D311yescharacteristic
175#897C2×D311yescharacteristic
176#897C2×D311yescharacteristic
177#896—61no—
178#896—61no—
179#896—61no—
180D3×C4⋊C4—31no—
181D3×C4⋊C4C2×D311yescharacteristic
182#889—61no—
183#889—61no—
184#888—31no—
185#888—31no—
186#888—61no—
187#888—61no—
188#888—61no—
189#887—31no—
190#887—31no—
191#887—31no—
192#887—61no—
193#67⋊C4—61no—
194#67⋊C4—61no—
195#67⋊C4—61no—
196#878—61no—
197#878—61no—
198#878—61no—
199C3×#107—21no—
200C3×#107—31no—
201C3×#107C2×D311yescharacteristic
202C3×#107C2×D311yescharacteristic
203C3×#103—31no—
204C3×#103—31no—
205C3×#103—31no—
206C3×#103—31no—
207C3×C22⋊C8—31no—
208#835—31no—
209#835—31no—
210#835—31no—
211#830—31no—
212(C2×D3)⋊C8—31no—
213(C2×D3)⋊C8C2×D311yescharacteristic
214#816—31no—
215#816—31no—
216#816—31no—
217#816—31no—
218#816—31no—
219#816—61no—
220#816C2×D311yescharacteristic
221Dic3⋊C8—31no—
222Dic3⋊C8—31no—
223Dic3⋊C8—61no—
224C8×Dic3—31no—
225C8×Dic3—31no—
226#810—31no—
227#810—31no—
228#810—31no—
229#810—31no—
230#810—61no—
231#810C2×D311yescharacteristic
232#810C2×D311yescharacteristic
233#810C2×D311yescharacteristic
234#807—31no—
235#807—31no—
236#807—61no—
237#807C2×D311yescharacteristic
238C22×C3×D3C2×D411yescharacteristic
239C22×C3×D3C2×D411yescharacteristic
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3C2×D411yescharacteristic
246C2×C3⋊Dic3C2×D411yescharacteristic
247#634—21no—
248#634—81no—
249#634#4112yes—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C3×C4×D3—21no—
257C3×C4×D3—21no—
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×C4×D3—81no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266C3×Dic6—21no—
267#627—42no—
268#627—42no—
269#625Q1614yescomplemented
270D3×Dic3—42no—
271D3×Dic3—42no—
272D3×Dic3—81no—
273C32×C8—21no—
274C3⋊(C3⋊C8)—21no—
275C3×C3⋊C8—21no—
276C3×C3⋊C8—21no—
277#554—91no—
278D4×Q8—91no—
279#487—91no—
280#484—31no—
281#484—91no—
282#477—91no—
283#467—31no—
284#467—91no—
285#462—91no—
286#451—91no—
287#451—91no—
288C4×Q16—91no—
289C8×D4—91no—
290C2×#103—91no—
291C2×#103—91no—
292C2×C3×Q8—31no—
293C2×C3×Q8—31no—
294C2×C3×Q8—31no—
295C22×C3×C4—31no—
296C22×C3×C4—31no—
297C22×C3×C4—61no—
298C2×#67—31no—
299C2×#67—31no—
300C22×Dic3—61no—
301C22×Dic3—61no—
302C22×Dic3—61no—
303D3×Q8—62no—
304D3×Q8—62no—
305D3×Q8—121no—
306D3×Q8—121no—
307C2×C4×D3—21no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3C22×D311yescharacteristic
312C2×C4×D3C22×D311yescharacteristic
313C2×Dic6—31no—
314C2×Dic6—31no—
315C2×Dic6—61no—
316C2×Dic6—62no—
317C2×Dic6—62no—
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×Dic6—61no—
321C2×Dic6—61no—
322C2×Dic6—61no—
323C2×Dic6—61no—
324C2×Dic6—121no—
325C2×Dic6—121no—
326C2×Dic6—121no—
327C2×Dic6C22×D311yescharacteristic
328C2×Dic6C22×D311yescharacteristic
329C2×Dic6C22×D311yescharacteristic
330C3×Q16—121no—
331C2×C3×C8—21no—
332C2×C3×C8—31no—
333C2×C3×C8—31no—
334C2×C3×C8—121no—
335C2×C3×C8C22×D311yescharacteristic
336C2×C3×C8C22×D311yescharacteristic
337C3×C4⋊C4—21no—
338C3×C4⋊C4—21no—
339C3×C4⋊C4—31no—
340C3×C4⋊C4—61no—
341C3×C4⋊C4—61no—
342C3×C4⋊C4—61no—
343C3×C4⋊C4—61no—
344C3×C4⋊C4C22×D311yescharacteristic
345C3×C4⋊C4C22×D311yescharacteristic
346C3×C4⋊C4C22×D311yescharacteristic
347C3×C4⋊C4C22×D311yescharacteristic
348C3×C22⋊C4—61no—
349C3×C22⋊C4—61no—
350C3×C22⋊C4—61no—
351#217—31no—
352#217—31no—
353#217—61no—
354#216—62no—
355#216—121no—
356#216—121no—
357(C2×D3)⋊C4—21no—
358(C2×D3)⋊C4—21no—
359(C2×D3)⋊C4—21no—
360(C2×D3)⋊C4—31no—
361(C2×D3)⋊C4—31no—
362(C2×D3)⋊C4—61no—
363C4⋊Dic3—21no—
364C4⋊Dic3—21no—
365C4⋊Dic3—21no—
366C4⋊Dic3—31no—
367C4⋊Dic3—31no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3C22×D311yescharacteristic
372Dic3⋊C4—21no—
373Dic3⋊C4—31no—
374Dic3⋊C4—31no—
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—61no—
387Dic3⋊C4—121no—
388Dic3⋊C4—121no—
389C4×Dic3—31no—
390C4×Dic3—31no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—61no—
396C4×Dic3—121no—
397C2×C3⋊C8—31no—
398C2×C3⋊C8—31no—
399C2×C3⋊C8—61no—
400C2×C3⋊C8—121no—
401C2×C3⋊C8C22×D311yescharacteristic
402C2×C3⋊C8C22×D311yescharacteristic
403Dic12—41no—
404Dic12—62no—
405D3×C8—41no—
406D3×C8—121no—
407C22×C32C22×D411yescharacteristic
408C2×C3×D3—21no—
409C2×C3×D3—21no—
410C2×C3×D3—21no—
411C2×C3×D3—21no—
412C2×C3×D3C2×Q1612yes—
413C2×C3×D3C2×Q1612yes—
414C32×C4—41no—
415C32×C4—41no—
416C32×C4C2×#4111yescharacteristic
417C32×C4H(5,𝔽2)11yescharacteristic
418C3⋊Dic3—22no—
419C3⋊Dic3—21no—
420C3⋊Dic3—41no—
421C3⋊Dic3C2×Q1612yes—
422C3×Dic3—21no—
423C3×Dic3—21no—
424C3×Dic3—41no—
425C3×Dic3—41no—
426C3×Dic3—41no—
427C3×Dic3—41no—
428C22×Q8—91no—
429C22×Q8—91no—
430C2×Q16—31no—
431C2×Q16—91no—
432C2×Q16—91no—
433C22×C8—31no—
434C22×C8—91no—
435C4⋊Q8—91no—
436C4⋊Q8—91no—
437C4⋊Q8—181no—
438#125—181no—
439C22⋊Q8—31no—
440C22⋊Q8—31no—
441C22⋊Q8—31no—
442C22⋊Q8—91no—
443C22⋊Q8—181no—
444C22⋊Q8—181no—
445C22⋊Q8—181no—
446C22⋊Q8—181no—
447C4×Q8—91no—
448C4×Q8—91no—
449C4×D4—91no—
450C4×D4—181no—
451C4×D4—181no—
452C2×C4⋊C4—31no—
453C2×C4⋊C4—91no—
454#107—31no—
455#107—91no—
456#107D3211yescharacteristic
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#103—91no—
468C22⋊C8—31no—
469C22⋊C8—91no—
470C4×C8—91no—
471C23×C3—31no—
472C23×C3—31no—
473C22×D3D3×D411yescharacteristic
474C22×D3D3×D411yescharacteristic
475C3×Q8—61no—
476C3×Q8—61no—
477C3×Q8—61no—
478C3×Q8—61no—
479C3×Q8—61no—
480C3×Q8—61no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—41no—
489C2×C3×C4—41no—
490C2×C3×C4—61no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—241no—
499C2×C3×C4C23×D311yescharacteristic
500C2×C3×C4C23×D311yescharacteristic
501#67—34no—
502#67—34no—
503C2×Dic3—21no—
504C2×Dic3—21no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—31no—
508C2×Dic3—31no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—121no—
518C2×Dic3—121no—
519C2×Dic3—122no—
520C2×Dic3—122no—
521C2×Dic3—241no—
522C2×Dic3D3×D411yescharacteristic
523C2×Dic3D3×D411yescharacteristic
524C4×D3—21no—
525C4×D3—21no—
526C4×D3—21no—
527C4×D3—21no—
528C4×D3—81no—
529C4×D3—122no—
530C4×D3—122no—
531C4×D3—241no—
532Dic6—21no—
533Dic6—21no—
534Dic6—21no—
535Dic6—21no—
536Dic6—21no—
537Dic6—21no—
538Dic6—32no—
539Dic6—32no—
540Dic6—62no—
541Dic6—61no—
542Dic6—61no—
543Dic6—121no—
544Dic6—122no—
545Dic6—122no—
546Dic6—122no—
547Dic6—122no—
548Dic6—241no—
549Dic6—241no—
550Dic6—242no—
551C3×C8—21no—
552C3×C8—21no—
553C3×C8—41no—
554C3×C8—61no—
555C3×C8—61no—
556C3⋊C8—21no—
557C3⋊C8—21no—
558C3⋊C8—61no—
559C3⋊C8—61no—
560C3⋊C8—121no—
561C2×C32#54611yescharacteristic
562C2×C32C22×Q1611yescharacteristic
563C2×C32#57711yescharacteristic
564C3×D3—22no—
565C3×D3—22no—
566C2×Q8—31no—
567C2×Q8—31no—
568C2×Q8—31no—
569C2×Q8—91no—
570C2×Q8—181no—
571C2×Q8—181no—
572C2×Q8—181no—
573C2×Q8—182no—
574C2×Q8—182no—
575C2×Q8—361no—
576C2×Q8—361no—
577C2×D4—91no—
578C22×C4—31no—
579C22×C4—31no—
580C22×C4—61no—
581C22×C4—181no—
582C22×C4—181no—
583C22×C4—181no—
584Q16—121no—
585Q16—182no—
586Q16—361no—
587C2×C8—31no—
588C2×C8—31no—
589C2×C8—91no—
590C2×C8—121no—
591C2×C8—361no—
592C2×C8C2×D3211yescharacteristic
593C4⋊C4—31no—
594C4⋊C4—61no—
595C4⋊C4—61no—
596C4⋊C4—61no—
597C4⋊C4—61no—
598C4⋊C4—91no—
599C4⋊C4—91no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4—181no—
606C4⋊C4—181no—
607C4⋊C4C2×D3211yescharacteristic
608C4⋊C4C2×D3211yescharacteristic
609C22⋊C4—61no—
610C22⋊C4—61no—
611C22⋊C4—61no—
612C22⋊C4—91no—
613C22⋊C4—91no—
614C22⋊C4—181no—
615C42—91no—
616C42—181no—
617C42—181no—
618C22×C3—21no—
619C22×C3—32no—
620C22×C3—32no—
621C22×C3—61no—
622C22×C3—61no—
623C22×C3—61no—
624C22×C3—61no—
625C22×C3C2×D3×D411yescharacteristic
626C22×C3C2×D3×D411yescharacteristic
627C2×D3—21no—
628C2×D3—21no—
629C2×D3—21no—
630C2×D3—21no—
631C2×D3D3×Q1612yes—
632C2×D3D3×Q1612yes—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—61no—
640C3×C4—61no—
641C3×C4—81no—
642C3×C4—81no—
643C3×C4—121no—
644C3×C4—121no—
645C3×C4—121no—
646C3×C4—121no—
647C3×C4#100411yescharacteristic
648C3×C4D3×#4111yescharacteristic
649C3×C4D3×#4111yescharacteristic
650C3×C4#100911yescharacteristic
651Dic3—21no—
652Dic3—21no—
653Dic3—32no—
654Dic3—32no—
655Dic3—41no—
656Dic3—41no—
657Dic3—41no—
658Dic3—41no—
659Dic3—62no—
660Dic3—62no—
661Dic3—61no—
662Dic3—61no—
663Dic3—62no—
664Dic3—122no—
665Dic3—121no—
666Dic3—121no—
667Dic3—121no—
668Dic3—241no—
669C32#329911yescharacteristic, complemented, Sylow
670C23—31no—
671C23—31no—
672Q8—61no—
673Q8—61no—
674Q8—61no—
675Q8—61no—
676Q8—61no—
677Q8—61no—
678Q8—92no—
679Q8—181no—
680Q8—362no—
681Q8—362no—
682Q8—721no—
683D4—94no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—31no—
687C2×C4—31no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—61no—
694C2×C4—61no—
695C2×C4—61no—
696C2×C4—91no—
697C2×C4—91no—
698C2×C4—181no—
699C2×C4—181no—
700C2×C4—241no—
701C2×C4—362no—
702C2×C4—362no—
703C2×C4—721no—
704C2×C4C22×D3211yescharacteristic
705C8—21no—
706C8—61no—
707C8—61no—
708C8—181no—
709C2×C3—21no—
710C2×C3—21no—
711C2×C3—21no—
712C2×C3—62no—
713C2×C3—62no—
714C2×C3#561011yescharacteristic
715C2×C3#565411yescharacteristic
716C2×C3C2×D3×Q1611yescharacteristic
717C2×C3C2×D3×Q1611yescharacteristic
718C2×C3#577011yescharacteristic
719C2×C3#577511yescharacteristic
720D3—22no—
721D3—22no—
722C22—32no—
723C22—32no—
724C22—61no—
725C22—61no—
726C22—61no—
727C22—61no—
728C22D32×D411yescharacteristic
729C4—41no—
730C4—41no—
731C4—61no—
732C4—61no—
733C4—92no—
734C4—121no—
735C4—121no—
736C4—121no—
737C4—121no—
738C4—182no—
739C4—181no—
740C4—361no—
741C4#6430711yescharacteristic
742C4#6431911yescharacteristic
743C3—21no—
744C3#8078111yescharacteristic, complemented
745C3#8149011yescharacteristic, complemented
746C2—62no—
747C2—62no—
748C2#1059461711yescharacteristic
749C2#1059473611yescharacteristic
750C2D32×Q1611yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#107C22
socleC22×C32C22×D4
prime radicalC2×#625D4
hypercenter#107D32
hypocenterC32#3299
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #107

Complements

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

NH ≅ G/Ntype
3. #10592574C2semidirect
4. C3×#4887C2semidirect
5. C3×#4884C2semidirect
6. #10590949C2semidirect
7. #10590798C2semidirect
9. D3×#816C2semidirect
10. #10590604C2semidirect
11. D3×#810C2semidirect
12. #10590567C2semidirect
13. #10590518C2semidirect
14. #10590482C2semidirect
15. #10590440C2semidirect
75. #4887D3semidirect
77. #4884D3semidirect
269. #625Q16semidirect
669. C32#3299semidirect
744. C3#80781semidirect
745. C3#81490semidirect

Maximal subgroups

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

subgroupindex
#105945322
#105945262
#105925742
C3×#48872
C3×#48842
#105909492
#105907982
#105907172
D3×#8162
#105906042
D3×#8102
#105905672
#105905182
#105904822
#105904402
#814903
#807813