Finite Group Databasebeta

← #11872851

Subgroups — #11872851

Order 1152.

836 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#10595354C211yesmaximal, characteristic, complemented
2#10594606C211yesmaximal, characteristic
3#10592514C211yesmaximal, characteristic, complemented
4C3×#4818C211yesmaximal, characteristic, complemented
5C3×#4788C211yesmaximal, characteristic, complemented
6#10591652C211yesmaximal, characteristic
7#10591566C211yesmaximal, characteristic, complemented
8#10591564C211yesmaximal, characteristic, complemented
9#10590943C211yesmaximal, characteristic
10#10590772C211yesmaximal, characteristic, complemented
11Dic3×#204C211yesmaximal, characteristic, complemented
12#10590648C211yesmaximal, characteristic, complemented
13#10590545C211yesmaximal, characteristic, complemented
14#10590527C211yesmaximal, characteristic, complemented
15#10590478C211yesmaximal, characteristic, complemented
16#80413—31nomaximal
17#79659—31nomaximal
18C2×#3802C2211yescharacteristic
19#64155C2211yescharacteristic
20#64101C2211yescharacteristic
21C3×Q8×Dic3C2211yescharacteristic, complemented
22C3×#944C2211yescharacteristic, complemented
23C2×C3×#215C2211yescharacteristic
24C2×C3×#215C2211yescharacteristic
25C2×C3×#204C2211yescharacteristic
26C3×#893C2211yescharacteristic
27C3×#893C2211yescharacteristic
28D3×(C2×D3)⋊C4—21no—
29D3×(C2×D3)⋊C4—21no—
30#63902—21no—
31C4×#625—21no—
32Dic3×D12C2211yescharacteristic
33Dic3×D12C2211yescharacteristic
34#63874C2211yescharacteristic
35#63871C2211yescharacteristic
36#63869C2211yescharacteristic, complemented
37#63868—21no—
38#63867—21no—
39#63848—21no—
40#63847—21no—
41Dic3×Dic6C2211yescharacteristic, complemented
42C2×#3715C2211yescharacteristic
43C32×#103C2211yescharacteristic, complemented
44#63662C2211yescharacteristic, complemented
45#63647C2211yescharacteristic
46#63644C2211yescharacteristic, complemented
47#63634C2211yescharacteristic, complemented
48C3×#821C2211yescharacteristic
49C3×Dic3⋊C8C2211yescharacteristic, complemented
50C3×C8×Dic3C2211yescharacteristic, complemented
51C3×#810C2211yescharacteristic, complemented
52C3×#808C2211yescharacteristic, complemented
53#63575C2211yescharacteristic, complemented
54Dic3⋊(C3⋊C8)C2211yescharacteristic, complemented
55#63566C2211yescharacteristic, complemented
56#63563C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59#63557C2211yescharacteristic
60#63554C2211yescharacteristic, complemented
61#5731—31no—
62#5583—31no—
63#5545—31no—
64#5545—31no—
65C3×#461—31no—
66C3×C4×SD16—31no—
67#5169—31no—
68#5169—31no—
69#5169—31no—
70#5164—31no—
71#5162—31no—
72Dic3×SD16—31no—
73#5083—31no—
74#5026—31no—
75#5018—31no—
76#5009—31no—
77#4871—31no—
78#4868—31no—
79#4847—31no—
80#4840—31no—
81#4818D311yescharacteristic, complemented
82#4817—31no—
83#4815—31no—
84#4815—31no—
85#4815—61no—
86#4814—31no—
87#4788D311yescharacteristic, complemented
88#4776—31no—
89#4763—31no—
90C4×#204—31no—
91#4690—31no—
92C22×D32—21no—
93C2×C32×Q8C2311yescharacteristic
94C2×C4×C3⋊D3C2311yescharacteristic
95C2×C3×D12C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3—21no—
99C2×C3×Dic6C2311yescharacteristic
100C2×#625—21no—
101C2×D3×Dic3—21no—
102C2×D3×Dic3—21no—
103#3802—22no—
104#3802—22no—
105C2×C32×C8C2311yescharacteristic
106C32×C4⋊C4C2311yescharacteristic
107#3752—21no—
108#3752—21no—
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111#3750—21no—
112C4×C3⋊Dic3—21no—
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#215—22no—
115C3×#215—22no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4—21no—
122C3×C4×Dic3—21no—
123C3×C4×Dic3C2311yescharacteristic
124C3×C4×Dic3C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C3×#204—22no—
128#3724—21no—
129#3724D411yescharacteristic
130#3724D411yescharacteristic
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134#3722—21no—
135#3722D411yescharacteristic
136#3722D411yescharacteristic
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139Dic32—21no—
140#3715—22no—
141#3123—91noSylow
142C2×D3×D4—31no—
143C2×D3×D4—31no—
144C2×C3×SD16—31no—
145C2×C3×SD16—31no—
146C2×C3×SD16—31no—
147C3×C4⋊Q8—31no—
148C3×C4×Q8—31no—
149C3×C4×D4—31no—
150C3×C4×D4—31no—
151#946—31no—
152#946—31no—
153#946—31no—
154#946—61no—
155Q8×Dic3—31no—
156Q8×Dic3C2×D311yescharacteristic, complemented
157#944C2×D311yescharacteristic, complemented
158C2×#215—31no—
159C2×#215C2×D311yescharacteristic
160C2×#215C2×D311yescharacteristic
161D4×Dic3—31no—
162D4×Dic3—31no—
163C2×#214—31no—
164C4×#67—61no—
165C4×#67—61no—
166C2×(C2×D3)⋊C4—61no—
167C2×(C2×D3)⋊C4—61no—
168C2×#204C2×D311yescharacteristic
169#898—61no—
170#898—61no—
171#898—61no—
172#897—31no—
173#893C2×D311yescharacteristic
174#893C2×D311yescharacteristic
175#892—31no—
176#892—31no—
177#892—61no—
178#890—31no—
179#889—61no—
180#889—61no—
181#889—61no—
182#67⋊C4—61no—
183#67⋊C4—61no—
184D3×C22⋊C4—61no—
185D3×C22⋊C4—61no—
186#876—61no—
187C4×D12—31no—
188C4×D12—31no—
189#872—31no—
190#872—31no—
191#870—31no—
192#870—61no—
193C4×Dic6—31no—
194C3×#106—31no—
195C3×C4⋊C8—31no—
196C3×#103—21no—
197C3×#103—31no—
198C3×#103C2×D311yescharacteristic, complemented
199C3×#103C2×D311yescharacteristic, complemented
200C3×#102—31no—
201C3×C4×C8—31no—
202#835—31no—
203#835—31no—
204#835—31no—
205#835—61no—
206#832—31no—
207#832—31no—
208#832—31no—
209#821—31no—
210#821—31no—
211#821C2×D311yescharacteristic
212(C2×D3)⋊C8—31no—
213(C2×D3)⋊C8—31no—
214(C2×D3)⋊C8—31no—
215(C2×D3)⋊C8—31no—
216(C2×D3)⋊C8—61no—
217#818—31no—
218#817—31no—
219#817—31no—
220#817—61no—
221#816—31no—
222#815—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8C2×D311yescharacteristic, complemented
225C8×Dic3C2×D311yescharacteristic, complemented
226#810C2×D311yescharacteristic, complemented
227#809—31no—
228#808C2×D311yescharacteristic, complemented
229#807—31no—
230#807—31no—
231#807—31no—
232#807—61no—
233C4⋊(C3⋊C8)—31no—
234#803—31no—
235C22×C3⋊D3C2×D411yescharacteristic
236C22×C3×D3—21no—
237C22×C3×D3—21no—
238C2×D32—24no—
239C2×D32—81no—
240C2×D32—81no—
241C32×Q8—21no—
242C32×Q8—21no—
243C2×C32×C4—21no—
244C2×C32×C4—21no—
245C2×C32×C4C2411yescharacteristic
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3—21no—
248C2×C3⋊Dic3C2×D411yescharacteristic
249C4×C3⋊D3—21no—
250C4×C3⋊D3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×D12—21no—
258C3×D12—21no—
259C3×D12#4112yes—
260C3×D12#4112yes—
261C3×C4×D3—81no—
262C3×C4×D3—81no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265#625—24no—
266D3×Dic3—81no—
267D3×Dic3—81no—
268C32×C8—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#541—91no—
273#518—91no—
274#485—91no—
275#485—91no—
276#478—91no—
277#478—91no—
278#461—31no—
279#461—91no—
280#450—91no—
281#450—91no—
282#440—91no—
283#440—91no—
284C4×SD16—31no—
285C4×SD16—91no—
286#433—91no—
287C23×D3—61no—
288C23×D3—61no—
289C2×C3×Q8—21no—
290C2×C3×Q8—31no—
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×D4—31no—
294C2×C3×D4—31no—
295C22×C3×C4—61no—
296C22×C3×C4—61no—
297C2×#67—61no—
298C2×#67—61no—
299C22×Dic3—61no—
300C22×Dic3—61no—
301D3×D4—62no—
302D3×D4—62no—
303D3×D4—62no—
304D3×D4—62no—
305C2×D12C22×D311yescharacteristic
306C2×D12C22×D311yescharacteristic
307C2×C4×D3—21no—
308C2×C4×D3—21no—
309C2×C4×D3—31no—
310C2×C4×D3—31no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×Dic6C22×D311yescharacteristic
315C3×SD16—62no—
316C3×SD16—62no—
317C3×SD16—62no—
318C2×C3×C8—21no—
319C2×C3×C8—31no—
320C2×C3×C8—31no—
321C2×C3×C8C22×D311yescharacteristic
322C2×C3×C8C22×D311yescharacteristic
323C3×C4⋊C4—21no—
324C3×C4⋊C4—31no—
325C3×C4⋊C4—61no—
326C3×C4⋊C4—61no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4C22×D311yescharacteristic
329C3×C4⋊C4C22×D311yescharacteristic
330C3×C22⋊C4—61no—
331C3×C22⋊C4—61no—
332C3×C42—31no—
333C3×C42—31no—
334C3×C42—61no—
335#217—61no—
336#217—61no—
337#215—22no—
338#215—22no—
339#215—62no—
340#214—62no—
341(C2×D3)⋊C4—21no—
342(C2×D3)⋊C4—21no—
343(C2×D3)⋊C4—31no—
344(C2×D3)⋊C4—31no—
345(C2×D3)⋊C4—31no—
346(C2×D3)⋊C4—31no—
347(C2×D3)⋊C4—61no—
348(C2×D3)⋊C4—61no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—121no—
356(C2×D3)⋊C4—121no—
357C4⋊Dic3—21no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3C22×D311yescharacteristic
368Dic3⋊C4—21no—
369Dic3⋊C4—21no—
370Dic3⋊C4—31no—
371Dic3⋊C4—31no—
372Dic3⋊C4—31no—
373Dic3⋊C4—31no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—121no—
382C4×Dic3—21no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—121no—
388C4×Dic3C22×D311yescharacteristic
389C4×Dic3C22×D311yescharacteristic
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8C22×D311yescharacteristic
394C2×C3⋊C8C22×D311yescharacteristic
395#204—22no—
396C22×C32C22×D411yescharacteristic
397C2×C3⋊D3—21no—
398C2×C3⋊D3—21no—
399C2×C3⋊D3—21no—
400C2×C3×D3—22no—
401C2×C3×D3—22no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406D32—84no—
407C32×C4—41no—
408C32×C4—41no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—21no—
412C3⋊Dic3—41no—
413C3⋊Dic3—41no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C22×D4—91no—
421C2×SD16—31no—
422C2×SD16—31no—
423C2×SD16—31no—
424C2×SD16—91no—
425C4⋊Q8—31no—
426#126—181no—
427#126—181no—
428#125—91no—
429#125—181no—
430#125—181no—
431C22⋊Q8—91no—
432C22⋊Q8—91no—
433C4×Q8—31no—
434C4×Q8—91no—
435C4×D4—31no—
436C4×D4—31no—
437C4×D4—91no—
438C4×D4—91no—
439C4×D4—181no—
440C4×D4—181no—
441#117—91no—
442#117—91no—
443C2×C22⋊C4—181no—
444C2×C22⋊C4—181no—
445#107—91no—
446#107—91no—
447#106—31no—
448#106—91no—
449C4⋊C8—31no—
450C4⋊C8—91no—
451#103—31no—
452#103—91no—
453#103—91no—
454#103D3211yescharacteristic, complemented
455#102—31no—
456#102—91no—
457#102—91no—
458#102—91no—
459C22⋊C8—91no—
460C22⋊C8—91no—
461#97—91no—
462C4×C8—31no—
463C23×C3—61no—
464C23×C3—61no—
465C22×D3—21no—
466C22×D3—21no—
467C22×D3—31no—
468C22×D3—31no—
469C22×D3—61no—
470C22×D3—64no—
471C22×D3—64no—
472C22×D3—241no—
473C22×D3—241no—
474C22×D3—241no—
475C22×D3—241no—
476C3×Q8—21no—
477C3×Q8—21no—
478C3×Q8—21no—
479C3×Q8—21no—
480C3×Q8—41no—
481C3×Q8—41no—
482C3×Q8—61no—
483C3×Q8—61no—
484C3×D4—32no—
485C3×D4—32no—
486C3×D4—61no—
487C3×D4—61no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—31no—
496C2×C3×C4—31no—
497C2×C3×C4—41no—
498C2×C3×C4—41no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—241no—
502C2×C3×C4—241no—
503C2×C3×C4C23×D311yescharacteristic
504C2×C3×C4C23×D311yescharacteristic
505#67—64no—
506#67—64no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—121no—
517C2×Dic3—121no—
518C2×Dic3—241no—
519C2×Dic3—241no—
520C2×Dic3D3×D411yescharacteristic
521C2×Dic3D3×D411yescharacteristic
522C2×Dic3D3×D411yescharacteristic
523C2×Dic3D3×D411yescharacteristic
524D12—21no—
525D12—21no—
526D12#23512yes—
527D12#23712yes—
528C4×D3—61no—
529C4×D3—61no—
530C4×D3—61no—
531C4×D3—61no—
532C4×D3—81no—
533C4×D3—81no—
534C4×D3—121no—
535C4×D3—121no—
536C4×D3—241no—
537C4×D3—241no—
538Dic6—21no—
539Dic6—21no—
540C3×C8—21no—
541C3×C8—21no—
542C3×C8—41no—
543C3×C8—61no—
544C3×C8—61no—
545C3⋊C8—21no—
546C3⋊C8—21no—
547C3⋊C8—61no—
548C3⋊C8—61no—
549C3⋊C8—121no—
550C2×C32#52511yescharacteristic
551C2×C32#57711yescharacteristic
552C2×C32#57711yescharacteristic
553C3⋊D3—41no—
554C3×D3—42no—
555C3×D3—42no—
556C24—181no—
557C2×Q8—31no—
558C2×Q8C2×D3211yescharacteristic
559C2×D4—31no—
560C2×D4—31no—
561C2×D4—181no—
562C2×D4—182no—
563C2×D4—182no—
564C22×C4—61no—
565C22×C4—61no—
566C22×C4—91no—
567C22×C4—181no—
568C22×C4—181no—
569SD16—62no—
570SD16—62no—
571SD16—62no—
572SD16—182no—
573C2×C8—31no—
574C2×C8—31no—
575C2×C8—91no—
576C2×C8C2×D3211yescharacteristic
577C4⋊C4—31no—
578C4⋊C4—61no—
579C4⋊C4—61no—
580C4⋊C4—61no—
581C4⋊C4—91no—
582C4⋊C4—91no—
583C4⋊C4—91no—
584C4⋊C4—91no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4C2×D3211yescharacteristic
591C22⋊C4—61no—
592C22⋊C4—61no—
593C22⋊C4—91no—
594C22⋊C4—91no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C42—31no—
601C42—31no—
602C42—61no—
603C42—181no—
604C42—181no—
605C22×C3—21no—
606C22×C3—62no—
607C22×C3—62no—
608C22×C3—121no—
609C22×C3—121no—
610C22×C3—121no—
611C22×C3—121no—
612C22×C3C2×D3×D411yescharacteristic
613C22×C3C2×D3×D411yescharacteristic
614C2×D3—22no—
615C2×D3—22no—
616C2×D3—41no—
617C2×D3—41no—
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—61no—
621C2×D3—61no—
622C2×D3—61no—
623C2×D3—61no—
624C2×D3—61no—
625C2×D3—61no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—121no—
629C2×D3—244no—
630C2×D3—244no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—41no—
634C3×C4—41no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4—61no—
638C3×C4—61no—
639C3×C4—61no—
640C3×C4—61no—
641C3×C4—81no—
642C3×C4—81no—
643C3×C4—121no—
644C3×C4—121no—
645C3×C4C2×#23511yescharacteristic
646C3×C4C2×#23711yescharacteristic
647C3×C4D3×#4111yescharacteristic
648C3×C4D3×#4111yescharacteristic
649Dic3—21no—
650Dic3—21no—
651Dic3—21no—
652Dic3—21no—
653Dic3—41no—
654Dic3—41no—
655Dic3—61no—
656Dic3—61no—
657Dic3—121no—
658Dic3—121no—
659Dic3—121no—
660Dic3—121no—
661Dic3—121no—
662Dic3—241no—
663Dic3—241no—
664C32#312311yescharacteristic, complemented, Sylow
665C23—61no—
666C23—61no—
667C23—91no—
668C23—184no—
669C23—721no—
670C23—721no—
671Q8—21no—
672Q8—21no—
673Q8—61no—
674Q8—61no—
675D4—32no—
676D4—32no—
677D4—61no—
678D4—61no—
679D4—184no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—91no—
689C2×C4—181no—
690C2×C4—181no—
691C2×C4—181no—
692C2×C4—181no—
693C2×C4—241no—
694C2×C4—241no—
695C2×C4—721no—
696C2×C4—721no—
697C2×C4C22×D3211yescharacteristic
698C8—21no—
699C8—61no—
700C8—61no—
701C8—181no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—122no—
706C2×C3—122no—
707C2×C3#554711yescharacteristic
708C2×C3#560611yescharacteristic
709C2×C3#576211yescharacteristic
710C2×C3#576211yescharacteristic
711C2×C3#577011yescharacteristic
712C2×C3#577811yescharacteristic
713D3—42no—
714D3—42no—
715D3—121no—
716D3—121no—
717D3—241no—
718C22—62no—
719C22—62no—
720C22—121no—
721C22—121no—
722C22—121no—
723C22—121no—
724C22—181no—
725C22—181no—
726C22—181no—
727C22—724no—
728C22D32×D411yescharacteristic
729C4—41no—
730C4—41no—
731C4—61no—
732C4—61no—
733C4—61no—
734C4—61no—
735C4—121no—
736C4—121no—
737C4—181no—
738C4—361no—
739C4—361no—
740C4D3×#23511yescharacteristic
741C4D3×#23711yescharacteristic
742C3—21no—
743C3#7965911yescharacteristic, complemented
744C3#8041311yescharacteristic, complemented
745C2—122no—
746C2—122no—
747C2—361no—
748C2#1059428611yescharacteristic
749C2#1059474811yescharacteristic
750C2#1059477011yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radicalC2×#3802C22
hypercenter#103D32
hypocenterC32#3123
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
1. #10595354C2semidirect
3. #10592514C2semidirect
4. C3×#4818C2semidirect
5. C3×#4788C2semidirect
7. #10591566C2semidirect
8. #10591564C2semidirect
10. #10590772C2semidirect
11. Dic3×#204C2semidirect
12. #10590648C2semidirect
13. #10590545C2semidirect
14. #10590527C2semidirect
15. #10590478C2semidirect
21. C3×Q8×Dic3C22semidirect
22. C3×#944C22semidirect
36. #63869C22semidirect
41. Dic3×Dic6C22semidirect
43. C32×#103C22semidirect
44. #63662C22semidirect
46. #63644C22semidirect
47. #63634C22semidirect
49. C3×Dic3⋊C8C22semidirect
50. C3×C8×Dic3C22semidirect
51. C3×#810C22semidirect
52. C3×#808C22semidirect
53. #63575C22semidirect
54. Dic3⋊(C3⋊C8)C22semidirect
55. #63566C22semidirect
60. #63554C22semidirect
81. #4818D3semidirect
87. #4788D3semidirect
156. Q8×Dic3C2×D3semidirect
157. #944C2×D3semidirect
198. C3×#103C2×D3semidirect
199. C3×#103C2×D3semidirect
224. Dic3⋊C8C2×D3semidirect
225. C8×Dic3C2×D3semidirect
226. #810C2×D3semidirect
228. #808C2×D3semidirect
454. #103D32semidirect
664. C32#3123semidirect
743. C3#79659semidirect
744. C3#80413semidirect

Maximal subgroups

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

subgroupindex
#105953542
#105946062
#105925142
C3×#48182
C3×#47882
#105916522
#105915662
#105915642
#105909432
#105907722
Dic3×#2042
#105906482
#105905452
#105905272
#105904782
#804133
#796593