Finite Group Databasebeta

← #11872853

Subgroups — #11872853

Order 1152.

848 conjugacy classes of subgroups.

The subgroup lattice has 757 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595348C211yesmaximal, characteristic, complemented
2#10594604C211yesmaximal, characteristic
3#10592517C211yesmaximal, characteristic, complemented
4C3×#4815C211yesmaximal, characteristic, complemented
5C3×#4788C211yesmaximal, characteristic, complemented
6#10591651C211yesmaximal, characteristic
7#10591569C211yesmaximal, characteristic, complemented
8#10591540C211yesmaximal, characteristic, complemented
9#10590946C211yesmaximal, characteristic
10#10590782C211yesmaximal, characteristic, complemented
11#10590758C211yesmaximal, characteristic, complemented
12#10590696C211yesmaximal, characteristic, complemented
13#10590590C211yesmaximal, characteristic, complemented
14#10590435C211yesmaximal, characteristic, complemented
15#10590428C211yesmaximal, characteristic, complemented
16#81498—31nomaximal
17#79659—31nomaximal
18C2×D3×D12C2211yescharacteristic
19#64153C2211yescharacteristic, complemented
20C2×#3755C2211yescharacteristic
21C2×#3744C2211yescharacteristic
22#64102C2211yescharacteristic
23C3×#946C2211yescharacteristic
24C3×Q8×Dic3C2211yescharacteristic, complemented
25C2×C3×#215C2211yescharacteristic
26C3×#893C2211yescharacteristic
27C3×#892C2211yescharacteristic
28#63921—21no—
29D3×(C2×D3)⋊C4—21no—
30C4×#626—21no—
31#63898C2211yescharacteristic
32#63894C2211yescharacteristic
33#63880—21no—
34#63872C2211yescharacteristic, complemented
35#63867—21no—
36#63859—21no—
37#63858—21no—
38#63857C2211yescharacteristic
39#63855C2211yescharacteristic
40#63846—21no—
41#63844C2211yescharacteristic, complemented
42C2×#3716C2211yescharacteristic
43C32×#103C2211yescharacteristic, complemented
44#63641C2211yescharacteristic, complemented
45#63637C2211yescharacteristic, complemented
46C3×#835C2211yescharacteristic, complemented
47C3×#821C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×#817C2211yescharacteristic, complemented
50C3×C8×Dic3C2211yescharacteristic, complemented
51C3×#808C2211yescharacteristic, complemented
52C3×#807C2211yescharacteristic, complemented
53#63576C2211yescharacteristic, complemented
54#63572C2211yescharacteristic, complemented
55#63567C2211yescharacteristic, complemented
56#63564C2211yescharacteristic
57#63564C2211yescharacteristic
58#63562C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63554C2211yescharacteristic, complemented
61#5625—31no—
62#5583—31no—
63#5545—31no—
64#5521—31no—
65C3×#485—31no—
66C3×C4×SD16—31no—
67#5169—31no—
68#5162—31no—
69#5046—31no—
70#5026—31no—
71#5018—31no—
72#4996—31no—
73#4891—31no—
74#4889—31no—
75#4871—31no—
76#4871—31no—
77#4868—31no—
78#4852—31no—
79#4818—31no—
80#4818—31no—
81#4818—31no—
82#4818—61no—
83#4817—31no—
84#4815D311yescharacteristic, complemented
85#4788D311yescharacteristic, complemented
86#4776—31no—
87#4763—31no—
88#4731—31no—
89#4720—31no—
90C4×#204—31no—
91#4690—31no—
92C22×D32—21no—
93C2×C32×Q8C2311yescharacteristic
94C2×C4⋊(C3⋊D3)C2311yescharacteristic
95C2×C4×C3⋊D3—21no—
96C2×#634C2311yescharacteristic
97C2×C3×D12C2311yescharacteristic
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3C2311yescharacteristic
100C2×#626—21no—
101C2×#624—21no—
102C2×D3×Dic3—21no—
103D3×D12—22no—
104D3×D12—22no—
105C2×C32×C8C2311yescharacteristic
106C32×C4⋊C4C2311yescharacteristic
107#3755—22no—
108#3752—21no—
109#3750—21no—
110#3750—21no—
111C4×C3⋊Dic3C2311yescharacteristic
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113#3744—22no—
114C3×#215—22no—
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×C4×Dic3—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(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3D411yescharacteristic
138(C2×D3)⋊Dic3D411yescharacteristic
139Dic32—21no—
140#3716—22no—
141#3123—91noSylow
142C2×D3×D4—31no—
143C22×D12—31no—
144C2×C3×SD16—31no—
145C3×C22⋊Q8—31no—
146C3×C4×Q8—31no—
147C3×C4×D4—31no—
148C3×#117—31no—
149#946C2×D311yescharacteristic
150Q8×Dic3C2×D311yescharacteristic, complemented
151#944—31no—
152#944—31no—
153#944—61no—
154C2×#215—31no—
155C2×#215—31no—
156C2×#215—61no—
157C2×#215C2×D311yescharacteristic
158D4×Dic3—31no—
159C2×#214—31no—
160C4×#67—61no—
161C2×(C2×D3)⋊C4—61no—
162#926—31no—
163#924—31no—
164C2×#204—31no—
165C2×#204—31no—
166C2×#204—31no—
167C2×#204—61no—
168#898—61no—
169#897—31no—
170#893—31no—
171#893—31no—
172#893—31no—
173#893—31no—
174#893—61no—
175#893C2×D311yescharacteristic
176#892C2×D311yescharacteristic
177#890—31no—
178#890—31no—
179#890—61no—
180#889—61no—
181#889—61no—
182#887—31no—
183#67⋊C4—61no—
184D3×C22⋊C4—61no—
185D3×C22⋊C4—61no—
186D3×C22⋊C4—61no—
187#879—61no—
188#879—61no—
189#876—61no—
190C4×D12—31no—
191C4×D12—61no—
192C4×D12—61no—
193#872—31no—
194#870—61no—
195C4×Dic6—31no—
196C3×#107—31no—
197C3×#106—31no—
198C3×#106—31no—
199C3×#103—21no—
200C3×#103—31no—
201C3×#103C2×D311yescharacteristic, complemented
202C3×#103C2×D311yescharacteristic, complemented
203C3×#102—31no—
204C3×C22⋊C8—31no—
205C3×C4×C8—31no—
206#835C2×D311yescharacteristic, complemented
207#832—31no—
208#830—31no—
209#821—31no—
210#821—31no—
211#821C2×D311yescharacteristic
212(C2×D3)⋊C8—31no—
213(C2×D3)⋊C8C2×D311yescharacteristic
214#817C2×D311yescharacteristic, complemented
215#816—31no—
216#815—31no—
217Dic3⋊C8—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8—31no—
220Dic3⋊C8—31no—
221Dic3⋊C8—61no—
222C8×Dic3C2×D311yescharacteristic, complemented
223#810—31no—
224#810—31no—
225#810—31no—
226#810—61no—
227#809—31no—
228#809—31no—
229#809—31no—
230#808C2×D311yescharacteristic, complemented
231#807—31no—
232#807—31no—
233#807C2×D311yescharacteristic, complemented
234#803—31no—
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
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⋊Dic3C2×D411yescharacteristic
248C2×C3⋊Dic3C2×D411yescharacteristic
249C4⋊(C3⋊D3)—21no—
250C4⋊(C3⋊D3)#4112yes—
251C4×C3⋊D3—81no—
252#634—21no—
253#634—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C2×C3×Dic3C2×D411yescharacteristic
260C3×D12—21no—
261C3×D12#4112yes—
262C3×C4×D3—21no—
263C3×C4×D3—21no—
264C3×C4×D3—81no—
265#626—24no—
266#624—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—31no—
275#485—91no—
276#478—91no—
277#478—91no—
278#461—91no—
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×Q8C22×D311yescharacteristic
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×D4—31no—
293C22×C3×C4—31no—
294C22×C3×C4—61no—
295C2×#67—61no—
296C22×Dic3—61no—
297D3×D4—62no—
298D3×D4—62no—
299C2×D12—31no—
300C2×D12—31no—
301C2×D12—61no—
302C2×D12—62no—
303C2×D12—61no—
304C2×D12—62no—
305C2×D12C22×D311yescharacteristic
306C2×C4×D3—21no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3—121no—
313C2×C4×D3C22×D311yescharacteristic
314C2×Dic6—31no—
315C2×Dic6—31no—
316C2×Dic6—61no—
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—31no—
326C3×C4⋊C4—31no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4—61no—
329C3×C4⋊C4C22×D311yescharacteristic
330C3×C4⋊C4C22×D311yescharacteristic
331C3×C22⋊C4—61no—
332C3×C22⋊C4—61no—
333C3×C22⋊C4—61no—
334C3×C42—31no—
335C3×C42—61no—
336C3×C42—61no—
337#217—31no—
338#217—31no—
339#217—61no—
340#217—61no—
341#215—22no—
342#215—62no—
343#215—62no—
344#215—122no—
345#214—62no—
346(C2×D3)⋊C4—21no—
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—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—121no—
358C4⋊Dic3—21no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3C22×D311yescharacteristic
365C4⋊Dic3C22×D311yescharacteristic
366C4⋊Dic3C22×D311yescharacteristic
367Dic3⋊C4—21no—
368Dic3⋊C4—31no—
369Dic3⋊C4—31no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—121no—
380Dic3⋊C4—121no—
381C4×Dic3—21no—
382C4×Dic3—21no—
383C4×Dic3—31no—
384C4×Dic3—31no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3C22×D311yescharacteristic
389C2×C3⋊C8—31no—
390C2×C3⋊C8—31no—
391C2×C3⋊C8—61no—
392C2×C3⋊C8C22×D311yescharacteristic
393C2×C3⋊C8C22×D311yescharacteristic
394#204—62no—
395#204—62no—
396#204—62no—
397#204—122no—
398C22×C32C22×D411yescharacteristic
399C2×C3⋊D3—22no—
400C2×C3⋊D3—41no—
401C2×C3⋊D3—41no—
402C2×C3×D3—22no—
403C2×C3×D3—21no—
404C2×C3×D3—21no—
405C2×C3×D3—21no—
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408D32—84no—
409C32×C4—41no—
410C32×C4—41no—
411C32×C4C2×#4111yescharacteristic
412C32×C4C2×#4111yescharacteristic
413C3⋊Dic3—21no—
414C3⋊Dic3—21no—
415C3⋊Dic3—41no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—21no—
419C3×Dic3—41no—
420C3×Dic3—41no—
421C3×Dic3—41no—
422C22×D4—91no—
423C2×SD16—31no—
424C2×SD16—91no—
425C2×SD16—91no—
426C2×SD16—91no—
427C4⋊Q8—91no—
428#126—181no—
429#126—181no—
430#125—91no—
431#125—181no—
432#125—181no—
433C22⋊Q8—31no—
434C22⋊Q8—91no—
435C4×Q8—31no—
436C4×Q8—91no—
437C4×D4—31no—
438C4×D4—91no—
439C4×D4—91no—
440C4×D4—91no—
441C4×D4—181no—
442C4×D4—181no—
443#117—31no—
444#117—91no—
445C2×C22⋊C4—181no—
446C2×C22⋊C4—181no—
447#107—31no—
448#107—91no—
449#106—31no—
450#106—31no—
451C4⋊C8—91no—
452C4⋊C8—91no—
453#103—31no—
454#103—91no—
455#103—91no—
456#103D3211yescharacteristic, complemented
457#102—31no—
458#102—91no—
459#102—91no—
460#102—91no—
461C22⋊C8—31no—
462C22⋊C8—91no—
463#97—91no—
464C4×C8—31no—
465C23×C3—31no—
466C23×C3—61no—
467C22×D3—21no—
468C22×D3—64no—
469C22×D3—64no—
470C22×D3—61no—
471C22×D3—61no—
472C22×D3—121no—
473C22×D3—241no—
474C22×D3—241no—
475C22×D3—241no—
476C22×D3—241no—
477C22×D3D3×D411yescharacteristic
478C3×Q8—21no—
479C3×Q8—21no—
480C3×Q8—21no—
481C3×Q8—21no—
482C3×Q8—41no—
483C3×Q8—41no—
484C3×D4—32no—
485C3×D4—61no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—31no—
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—241no—
502C2×C3×C4C23×D311yescharacteristic
503C2×C3×C4C23×D311yescharacteristic
504#67—64no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—31no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—121no—
517C2×Dic3—241no—
518C2×Dic3D3×D411yescharacteristic
519C2×Dic3D3×D411yescharacteristic
520C2×Dic3D3×D411yescharacteristic
521D12—21no—
522D12—32no—
523D12—32no—
524D12—62no—
525D12—64no—
526D12—61no—
527D12—61no—
528D12—121no—
529D12#23512yes—
530C4×D3—21no—
531C4×D3—21no—
532C4×D3—81no—
533C4×D3—241no—
534C4×D3—241no—
535C4×D3—241no—
536C4×D3—241no—
537C4×D3—242no—
538C4×D3—241no—
539Dic6—61no—
540Dic6—61no—
541Dic6—61no—
542Dic6—61no—
543Dic6—121no—
544Dic6—121no—
545C3×C8—21no—
546C3×C8—21no—
547C3×C8—41no—
548C3×C8—61no—
549C3×C8—61no—
550C3⋊C8—21no—
551C3⋊C8—21no—
552C3⋊C8—61no—
553C3⋊C8—61no—
554C3⋊C8—121no—
555C2×C32#52511yescharacteristic
556C2×C32#57711yescharacteristic
557C2×C32#57711yescharacteristic
558C3⋊D3—42no—
559C3×D3—41no—
560C3×D3—42no—
561C24—181no—
562C2×Q8—91no—
563C2×Q8C2×D3211yescharacteristic
564C2×D4—31no—
565C2×D4—91no—
566C2×D4—181no—
567C2×D4—182no—
568C2×D4—182no—
569C22×C4—31no—
570C22×C4—61no—
571C22×C4—181no—
572C22×C4—181no—
573C22×C4—181no—
574SD16—62no—
575SD16—182no—
576SD16—182no—
577SD16—182no—
578C2×C8—31no—
579C2×C8—31no—
580C2×C8—91no—
581C2×C8C2×D3211yescharacteristic
582C4⋊C4—31no—
583C4⋊C4—31no—
584C4⋊C4—31no—
585C4⋊C4—61no—
586C4⋊C4—61no—
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⋊C4C2×D3211yescharacteristic
596C22⋊C4—61no—
597C22⋊C4—61no—
598C22⋊C4—61no—
599C22⋊C4—91no—
600C22⋊C4—91no—
601C22⋊C4—181no—
602C22⋊C4—181no—
603C22⋊C4—181no—
604C22⋊C4—181no—
605C42—31no—
606C42—61no—
607C42—61no—
608C42—91no—
609C42—181no—
610C22×C3—21no—
611C22×C3—62no—
612C22×C3—61no—
613C22×C3—61no—
614C22×C3—61no—
615C22×C3—121no—
616C22×C3—121no—
617C22×C3C2×D3×D411yescharacteristic
618C22×C3C2×D3×D411yescharacteristic
619C2×D3—21no—
620C2×D3—21no—
621C2×D3—21no—
622C2×D3—22no—
623C2×D3—41no—
624C2×D3—41no—
625C2×D3—62no—
626C2×D3—62no—
627C2×D3—122no—
628C2×D3—121no—
629C2×D3—121no—
630C2×D3—121no—
631C2×D3—121no—
632C2×D3—241no—
633C2×D3—241no—
634C2×D3—244no—
635C2×D3—244no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—41no—
642C3×C4—61no—
643C3×C4—61no—
644C3×C4—61no—
645C3×C4—81no—
646C3×C4—81no—
647C3×C4—121no—
648C3×C4—121no—
649C3×C4—121no—
650C3×C4C2×#23511yescharacteristic
651C3×C4D3×#4111yescharacteristic
652C3×C4D3×#4111yescharacteristic
653C3×C4D3×#4111yescharacteristic
654Dic3—21no—
655Dic3—21no—
656Dic3—21no—
657Dic3—41no—
658Dic3—41no—
659Dic3—41no—
660Dic3—62no—
661Dic3—61no—
662Dic3—61no—
663Dic3—61no—
664Dic3—61no—
665Dic3—121no—
666Dic3—121no—
667Dic3—121no—
668Dic3—241no—
669C32#312311yescharacteristic, complemented, Sylow
670C23—31no—
671C23—61no—
672C23—184no—
673C23—181no—
674C23—721no—
675C23—721no—
676Q8—21no—
677Q8—21no—
678Q8—181no—
679Q8—181no—
680D4—32no—
681D4—61no—
682D4—92no—
683D4—184no—
684D4—181no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—31no—
688C2×C4—31no—
689C2×C4—31no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—61no—
694C2×C4—61no—
695C2×C4—91no—
696C2×C4—91no—
697C2×C4—181no—
698C2×C4—241no—
699C2×C4—721no—
700C2×C4—721no—
701C2×C4—721no—
702C2×C4C22×D3211yescharacteristic
703C8—21no—
704C8—61no—
705C8—61no—
706C8—181no—
707C2×C3—21no—
708C2×C3—21no—
709C2×C3—21no—
710C2×C3—121no—
711C2×C3—122no—
712C2×C3#554711yescharacteristic
713C2×C3#565611yescharacteristic
714C2×C3#576211yescharacteristic
715C2×C3#577011yescharacteristic
716C2×C3#577011yescharacteristic
717C2×C3#577811yescharacteristic
718D3—42no—
719D3—41no—
720D3—122no—
721D3—122no—
722D3—242no—
723C22—61no—
724C22—61no—
725C22—61no—
726C22—62no—
727C22—121no—
728C22—121no—
729C22—182no—
730C22—361no—
731C22—361no—
732C22—724no—
733C22D32×D411yescharacteristic
734C4—41no—
735C4—41no—
736C4—61no—
737C4—61no—
738C4—61no—
739C4—121no—
740C4—121no—
741C4—121no—
742C4—181no—
743C4—181no—
744C4—361no—
745C4D3×#23511yescharacteristic
746C4#6431211yescharacteristic
747C3—21no—
748C3#7965911yescharacteristic, complemented
749C3#8149811yescharacteristic, complemented
750C2—121no—
751C2—122no—
752C2—362no—
753C2#1059426611yescharacteristic
754C2#1059475311yescharacteristic
755C2#1059477011yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radicalC2×D3×D12C22
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. #10595348C2semidirect
3. #10592517C2semidirect
4. C3×#4815C2semidirect
5. C3×#4788C2semidirect
7. #10591569C2semidirect
8. #10591540C2semidirect
10. #10590782C2semidirect
11. #10590758C2semidirect
12. #10590696C2semidirect
13. #10590590C2semidirect
14. #10590435C2semidirect
15. #10590428C2semidirect
19. #64153C22semidirect
24. C3×Q8×Dic3C22semidirect
34. #63872C22semidirect
41. #63844C22semidirect
43. C32×#103C22semidirect
44. #63641C22semidirect
45. #63637C22semidirect
46. C3×#835C22semidirect
49. C3×#817C22semidirect
50. C3×C8×Dic3C22semidirect
51. C3×#808C22semidirect
52. C3×#807C22semidirect
53. #63576C22semidirect
54. #63572C22semidirect
55. #63567C22semidirect
60. #63554C22semidirect
84. #4815D3semidirect
85. #4788D3semidirect
150. Q8×Dic3C2×D3semidirect
201. C3×#103C2×D3semidirect
202. C3×#103C2×D3semidirect
206. #835C2×D3semidirect
214. #817C2×D3semidirect
222. C8×Dic3C2×D3semidirect
230. #808C2×D3semidirect
233. #807C2×D3semidirect
456. #103D32semidirect
669. C32#3123semidirect
748. C3#79659semidirect
749. C3#81498semidirect

Maximal subgroups

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

subgroupindex
#105953482
#105946042
#105925172
C3×#48152
C3×#47882
#105916512
#105915692
#105915402
#105909462
#105907822
#105907582
#105906962
#105905902
#105904352
#105904282
#814983
#796593