Finite Group Databasebeta

← #11872820

Subgroups — #11872820

Order 1152.

848 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595215C211yesmaximal, characteristic
2#10594346C211yesmaximal, characteristic, complemented
3#10592456C211yesmaximal, characteristic, complemented
4C3×#4776C211yesmaximal, characteristic
5C3×#4766C211yesmaximal, characteristic, complemented
6#10591489C211yesmaximal, characteristic, complemented
7#10591459C211yesmaximal, characteristic
8#10591445C211yesmaximal, characteristic, complemented
9#10590779C211yesmaximal, characteristic, complemented
10#10590752C211yesmaximal, characteristic, complemented
11#10590708C211yesmaximal, characteristic, complemented
12#10590699C211yesmaximal, characteristic, complemented
13#10590467C211yesmaximal, characteristic, complemented
14#10590460C211yesmaximal, characteristic, complemented
15#10590447C211yesmaximal, characteristic, complemented
16#81147—31nomaximal
17#80137—31nomaximal
18C2×C3×D3×D4C2211yescharacteristic
19D4×C3⋊Dic3C2211yescharacteristic
20C2×#3754C2211yescharacteristic
21#64096C2211yescharacteristic, complemented
22C3×D4×Dic3C2211yescharacteristic
23C2×C3×#214C2211yescharacteristic
24C2×C3×#204C2211yescharacteristic
25C3×#897C2211yescharacteristic
26C3×#890C2211yescharacteristic, complemented
27#67⋊Dic3—21no—
28Dic3×#67—21no—
29D3×#217—21no—
30C2×(C2×D3)⋊Dic3—21no—
31#63898C2211yescharacteristic
32Dic3×D12C2211yescharacteristic
33#63872—21no—
34#63866C2211yescharacteristic, complemented
35#63862—21no—
36#63858—21no—
37#63857C2211yescharacteristic
38#63855C2211yescharacteristic
39#63846—21no—
40#63843C2211yescharacteristic, complemented
41#63841C2211yescharacteristic
42C2×#3716C2211yescharacteristic
43C32×#102C2211yescharacteristic
44#63643C2211yescharacteristic, complemented
45#63642C2211yescharacteristic, complemented
46#63634C2211yescharacteristic, complemented
47C3×#832C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×#818C2211yescharacteristic, complemented
50C3×Dic3⋊C8C2211yescharacteristic, complemented
51C3×#809C2211yescharacteristic
52C3×#808C2211yescharacteristic, complemented
53#63573C2211yescharacteristic, complemented
54Dic3⋊(C3⋊C8)C2211yescharacteristic, complemented
55#63567C2211yescharacteristic, complemented
56#63566C2211yescharacteristic, complemented
57#63565C2211yescharacteristic, complemented
58#63562C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63553C2211yescharacteristic, complemented
61#5798—31no—
62#5698—31no—
63#5625—31no—
64#5545—31no—
65C3×#478—31no—
66C3×#450—31no—
67#5218—31no—
68#5164—31no—
69#5162—31no—
70#5162—31no—
71Dic3×SD16—31no—
72#5066—31no—
73#5045—31no—
74#5019—31no—
75#4889—31no—
76#4888—31no—
77#4868—31no—
78#4852—31no—
79#4841—31no—
80#4840—31no—
81#4776—31no—
82#4776D311yescharacteristic
83#4766D311yescharacteristic, complemented
84#4763—31no—
85#4758—31no—
86#4758—31no—
87#4757—31no—
88#4757—31no—
89#4757—61no—
90#4723—31no—
91#4720—31no—
92C23×C3×D3—21no—
93C2×C32×D4C2311yescharacteristic
94C22×C3⋊Dic3—21no—
95C2×#634C2311yescharacteristic
96C2×C3×#67—21no—
97C22×C3×Dic3—21no—
98C3×D3×D4—22no—
99C3×D3×D4—22no—
100C2×C3×D12C2311yescharacteristic
101C2×C3×C4×D3C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105C2×C32×C8C2311yescharacteristic
106C32×C4⋊C4C2311yescharacteristic
107#3757—21no—
108#3754—22no—
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110#3750—21no—
111C4×C3⋊Dic3—21no—
112C4×C3⋊Dic3C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#217—21no—
115C3×#214—22no—
116C3×(C2×D3)⋊C4—21no—
117C3×C4⋊Dic3—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×Dic3⋊C4—21no—
122C3×C4×Dic3C2311yescharacteristic
123C2×C3×C3⋊C8C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C3×#204—22no—
126Dic3⋊Dic3—21no—
127Dic3⋊Dic3—21no—
128Dic3⋊Dic3—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3D411yescharacteristic
131Dic3⋊Dic3D411yescharacteristic
132(C2×D3)⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3D411yescharacteristic
137(C2×D3)⋊Dic3D411yescharacteristic
138Dic32—21no—
139Dic32—21no—
140#3716—22no—
141#3123—91noSylow
142C22×C3×D4—31no—
143C2×D3×D4C2×D311yescharacteristic
144C2×C3×SD16—31no—
145C2×C3×SD16—31no—
146C3×#125—31no—
147C3×C22⋊Q8—31no—
148C3×C4×D4—31no—
149C2×#217—61no—
150C2×#217—61no—
151Q8×Dic3—31no—
152#944—31no—
153D4×Dic3—31no—
154D4×Dic3—31no—
155D4×Dic3—31no—
156D4×Dic3—31no—
157D4×Dic3—61no—
158D4×Dic3—61no—
159D4×Dic3—61no—
160D4×Dic3C2×D311yescharacteristic
161C2×#214—31no—
162C2×#214—31no—
163C2×#214—31no—
164C2×#214—61no—
165C2×#214C2×D311yescharacteristic
166C4×#67—61no—
167C2×(C2×D3)⋊C4—61no—
168#926—31no—
169#926—31no—
170#924—31no—
171C2×#204—31no—
172C2×#204C2×D311yescharacteristic
173#898—61no—
174#898—61no—
175#897—31no—
176#897C2×D311yescharacteristic
177#893—31no—
178#892—31no—
179#890—61no—
180#890—61no—
181#890—61no—
182#890C2×D311yescharacteristic, complemented
183#889—61no—
184#887—31no—
185#887—31no—
186#887—31no—
187#887—61no—
188#67⋊C4—61no—
189D3×C22⋊C4—61no—
190#879—61no—
191#879—61no—
192C4×D12—31no—
193#872—31no—
194#869—31no—
195C3×#107—31no—
196C3×#106—31no—
197C3×C4⋊C8—31no—
198C3×#102—21no—
199C3×#102—31no—
200C3×#102—31no—
201C3×#102C2×D311yescharacteristic
202C3×#102C2×D311yescharacteristic
203C3×C22⋊C8—31no—
204#835—31no—
205#835—31no—
206#832—31no—
207#832C2×D311yescharacteristic
208#830—31no—
209(C2×D3)⋊C8—31no—
210(C2×D3)⋊C8C2×D311yescharacteristic
211#818C2×D311yescharacteristic, complemented
212#817—31no—
213#816—31no—
214#816—31no—
215#816—31no—
216#816—31no—
217#816—61no—
218#815—31no—
219#815—31no—
220#815—61no—
221Dic3⋊C8—31no—
222Dic3⋊C8C2×D311yescharacteristic, complemented
223C8×Dic3—31no—
224C8×Dic3—31no—
225#810—31no—
226#810—31no—
227#809—31no—
228#809C2×D311yescharacteristic
229#808—31no—
230#808C2×D311yescharacteristic, complemented
231#807—31no—
232#807—31no—
233#807—61no—
234C4⋊(C3⋊C8)—31no—
235C23×C32—21no—
236C22×C3×D3—21no—
237C22×C3×D3—24no—
238C22×C3×D3—81no—
239C22×C3×D3—81no—
240C22×C3×D3C2×D411yescharacteristic
241C32×D4—21no—
242C32×D4#4112yes—
243C2×C32×C4—21no—
244C2×C32×C4C2411yescharacteristic
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3—81no—
248C2×C3⋊Dic3C2×D411yescharacteristic
249C2×C3⋊Dic3C2×D411yescharacteristic
250#634—21no—
251#634—21no—
252C3×#67—24no—
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×D12—21no—
261C3×D12#4112yes—
262C3×C4×D3—21no—
263C3×C4×D3—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
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—31no—
277#478—91no—
278#461—91no—
279#461—91no—
280#450—31no—
281#450—91no—
282#440—91no—
283#440—91no—
284C4×SD16—91no—
285C4×SD16—91no—
286#433—91no—
287C24×C3—61no—
288C23×D3—21no—
289C2×C3×Q8—31no—
290C2×C3×D4—21no—
291C2×C3×D4—31no—
292C2×C3×D4—61no—
293C2×C3×D4—62no—
294C2×C3×D4—62no—
295C2×C3×D4C22×D311yescharacteristic
296C2×C3×D4C22×D311yescharacteristic
297C22×C3×C4—31no—
298C22×C3×C4—61no—
299C2×#67—21no—
300C22×Dic3—21no—
301C22×Dic3—61no—
302C22×Dic3—61no—
303C22×Dic3—61no—
304C22×Dic3—61no—
305C22×Dic3—121no—
306D3×D4—22no—
307D3×D4—22no—
308C2×D12C22×D311yescharacteristic
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3C22×D311yescharacteristic
312C2×Dic6—31no—
313C2×Dic6—31no—
314C2×Dic6—61no—
315C2×Dic6C22×D311yescharacteristic
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—31no—
326C3×C4⋊C4—61no—
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×C42—31no—
334#217—21no—
335#217—31no—
336#217—31no—
337#217—61no—
338#217—61no—
339#217—61no—
340#217—61no—
341#217—61no—
342#217—61no—
343#217—121no—
344#214—22no—
345#214—62no—
346#214—64no—
347#214—62no—
348#214—62no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—31no—
351(C2×D3)⋊C4—31no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356C4⋊Dic3—21no—
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
368C4⋊Dic3C22×D311yescharacteristic
369Dic3⋊C4—21no—
370Dic3⋊C4—31no—
371Dic3⋊C4—31no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—121no—
379C4×Dic3—31no—
380C4×Dic3—31no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—121no—
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—
396#204—62no—
397C22×C32—22no—
398C22×C32—41no—
399C22×C32—41no—
400C22×C32C22×D411yescharacteristic
401C2×C3×D3—21no—
402C2×C3×D3—22no—
403C2×C3×D3—21no—
404C2×C3×D3—21no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C2×C3×D3—84no—
408C32×C4—41no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—21no—
412C3⋊Dic3—21no—
413C3⋊Dic3—41no—
414C3⋊Dic3—41no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C3×Dic3—41no—
421C22×D4—31no—
422C2×SD16—31no—
423C2×SD16—31no—
424C2×SD16—91no—
425C2×SD16—91no—
426C4⋊Q8—91no—
427#126—181no—
428#126—181no—
429#125—31no—
430#125—181no—
431#125—181no—
432C22⋊Q8—31no—
433C22⋊Q8—91no—
434C4×Q8—91no—
435C4×Q8—91no—
436C4×D4—31no—
437C4×D4—91no—
438C4×D4—91no—
439C4×D4—91no—
440C4×D4—181no—
441C4×D4—181no—
442#117—91no—
443#117—91no—
444C2×C22⋊C4—181no—
445C2×C22⋊C4—181no—
446#107—31no—
447#107—91no—
448#106—31no—
449#106—91no—
450C4⋊C8—31no—
451C4⋊C8—91no—
452#103—91no—
453#103—91no—
454#103—91no—
455#103—91no—
456#102—31no—
457#102—31no—
458#102—91no—
459#102D3211yescharacteristic
460C22⋊C8—31no—
461C22⋊C8—91no—
462#97—91no—
463C4×C8—91no—
464C23×C3—21no—
465C23×C3—21no—
466C23×C3—31no—
467C23×C3—41no—
468C23×C3—64no—
469C23×C3—61no—
470C23×C3—241no—
471C23×C3—241no—
472C22×D3—21no—
473C22×D3—24no—
474C22×D3—81no—
475C22×D3—81no—
476C22×D3D3×D411yescharacteristic
477C3×Q8—61no—
478C3×Q8—61no—
479C3×D4—21no—
480C3×D4—21no—
481C3×D4—22no—
482C3×D4—32no—
483C3×D4—41no—
484C3×D4—64no—
485C3×D4—61no—
486C3×D4#23712yes—
487C3×D4#23912yes—
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—61no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—241no—
501C2×C3×C4C23×D311yescharacteristic
502C2×C3×C4C23×D311yescharacteristic
503#67—24no—
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—81no—
518C2×Dic3—121no—
519C2×Dic3—121no—
520C2×Dic3—241no—
521C2×Dic3—241no—
522C2×Dic3—241no—
523C2×Dic3—241no—
524C2×Dic3—242no—
525C2×Dic3D3×D411yescharacteristic
526C2×Dic3D3×D411yescharacteristic
527C2×Dic3D3×D411yescharacteristic
528D12—21no—
529D12#23712yes—
530C4×D3—21no—
531C4×D3—21no—
532C4×D3—241no—
533C4×D3—241no—
534Dic6—21no—
535Dic6—21no—
536Dic6—62no—
537Dic6—61no—
538Dic6—61no—
539Dic6—61no—
540Dic6—61no—
541Dic6—121no—
542C3×C8—21no—
543C3×C8—21no—
544C3×C8—41no—
545C3×C8—61no—
546C3×C8—61no—
547C3⋊C8—21no—
548C3⋊C8—21no—
549C3⋊C8—62no—
550C3⋊C8—61no—
551C3⋊C8—61no—
552C2×C32—42no—
553C2×C32#52511yescharacteristic
554C2×C32#57711yescharacteristic
555C2×C32#57711yescharacteristic
556C3×D3—41no—
557C3×D3—42no—
558C24—61no—
559C2×Q8—31no—
560C2×Q8—91no—
561C2×D4—31no—
562C2×D4—61no—
563C2×D4—62no—
564C2×D4—62no—
565C2×D4C2×D3211yescharacteristic
566C22×C4—31no—
567C22×C4—61no—
568C22×C4—181no—
569C22×C4—181no—
570C22×C4—181no—
571SD16—62no—
572SD16—62no—
573SD16—182no—
574SD16—182no—
575C2×C8—31no—
576C2×C8—31no—
577C2×C8—91no—
578C2×C8C2×D3211yescharacteristic
579C4⋊C4—31no—
580C4⋊C4—31no—
581C4⋊C4—61no—
582C4⋊C4—61no—
583C4⋊C4—61no—
584C4⋊C4—91no—
585C4⋊C4—91no—
586C4⋊C4—91no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4—181no—
591C4⋊C4—181no—
592C4⋊C4C2×D3211yescharacteristic
593C22⋊C4—61no—
594C22⋊C4—61no—
595C22⋊C4—91no—
596C22⋊C4—91no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C22⋊C4—181no—
601C22⋊C4—181no—
602C42—31no—
603C42—91no—
604C42—181no—
605C42—181no—
606C42—181no—
607C22×C3—22no—
608C22×C3—22no—
609C22×C3—21no—
610C22×C3—42no—
611C22×C3—41no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—61no—
616C22×C3—61no—
617C22×C3—61no—
618C22×C3—62no—
619C22×C3—81no—
620C22×C3—81no—
621C22×C3—121no—
622C22×C3—121no—
623C22×C3—244no—
624C22×C3C2×D3×D411yescharacteristic
625C22×C3C2×D3×D411yescharacteristic
626C2×D3—21no—
627C2×D3—21no—
628C2×D3—21no—
629C2×D3—22no—
630C2×D3—41no—
631C2×D3—41no—
632C2×D3—84no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4—61no—
638C3×C4—61no—
639C3×C4—61no—
640C3×C4—81no—
641C3×C4—121no—
642C3×C4—121no—
643C3×C4—121no—
644C3×C4C2×#23711yescharacteristic
645C3×C4C2×#23711yescharacteristic
646C3×C4C2×#23911yescharacteristic
647C3×C4D3×#4111yescharacteristic
648Dic3—21no—
649Dic3—21no—
650Dic3—21no—
651Dic3—41no—
652Dic3—41no—
653Dic3—41no—
654Dic3—61no—
655Dic3—61no—
656Dic3—61no—
657Dic3—61no—
658Dic3—121no—
659Dic3—121no—
660Dic3—122no—
661Dic3—121no—
662Dic3—121no—
663Dic3—121no—
664Dic3—121no—
665Dic3—241no—
666C32#312311yescharacteristic, complemented, Sylow
667C23—21no—
668C23—31no—
669C23—64no—
670C23—61no—
671C23—241no—
672C23—241no—
673Q8—61no—
674Q8—61no—
675Q8—181no—
676Q8—181no—
677D4—21no—
678D4—32no—
679D4—64no—
680D4—61no—
681D4#379612yes—
682C2×C4—21no—
683C2×C4—31no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—91no—
692C2×C4—91no—
693C2×C4—181no—
694C2×C4—181no—
695C2×C4—241no—
696C2×C4—721no—
697C2×C4—721no—
698C2×C4—721no—
699C2×C4C22×D3211yescharacteristic
700C8—21no—
701C8—61no—
702C8—61no—
703C8—181no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—21no—
707C2×C3—42no—
708C2×C3—42no—
709C2×C3—82no—
710C2×C3—121no—
711C2×C3—122no—
712C2×C3#558611yescharacteristic
713C2×C3#562711yescharacteristic
714C2×C3#576211yescharacteristic
715C2×C3#577011yescharacteristic
716C2×C3#577511yescharacteristic
717C2×C3#577511yescharacteristic
718D3—41no—
719D3—42no—
720C22—22no—
721C22—41no—
722C22—41no—
723C22—61no—
724C22—62no—
725C22—61no—
726C22—61no—
727C22—121no—
728C22—121no—
729C22—244no—
730C22D32×D411yescharacteristic
731C4—41no—
732C4—61no—
733C4—61no—
734C4—61no—
735C4—121no—
736C4—121no—
737C4—121no—
738C4—181no—
739C4—181no—
740C4—361no—
741C4—361no—
742C4C2×#379611yescharacteristic
743C4D3×#23711yescharacteristic
744C3—21no—
745C3#8013711yescharacteristic, complemented
746C3#8114711yescharacteristic, complemented
747C2—42no—
748C2—121no—
749C2—122no—
750C2#1059405511yescharacteristic
751C2#1059473611yescharacteristic
752C2#1059474911yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#102C22
socleC22×C32C22×D4
prime radicalC2×C3×D3×D4C22
hypercenter#102D32
hypocenterC32#3123
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
2. #10594346C2semidirect
3. #10592456C2semidirect
5. C3×#4766C2semidirect
6. #10591489C2semidirect
8. #10591445C2semidirect
9. #10590779C2semidirect
10. #10590752C2semidirect
11. #10590708C2semidirect
12. #10590699C2semidirect
13. #10590467C2semidirect
14. #10590460C2semidirect
15. #10590447C2semidirect
21. #64096C22semidirect
26. C3×#890C22semidirect
34. #63866C22semidirect
40. #63843C22semidirect
44. #63643C22semidirect
45. #63642C22semidirect
46. #63634C22semidirect
49. C3×#818C22semidirect
50. C3×Dic3⋊C8C22semidirect
52. C3×#808C22semidirect
53. #63573C22semidirect
54. Dic3⋊(C3⋊C8)C22semidirect
55. #63567C22semidirect
56. #63566C22semidirect
57. #63565C22semidirect
60. #63553C22semidirect
83. #4766D3semidirect
182. #890C2×D3semidirect
211. #818C2×D3semidirect
222. Dic3⋊C8C2×D3semidirect
230. #808C2×D3semidirect
666. C32#3123semidirect
745. C3#80137semidirect
746. C3#81147semidirect

Maximal subgroups

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

subgroupindex
#105952152
#105943462
#105924562
C3×#47762
C3×#47662
#105914892
#105914592
#105914452
#105907792
#105907522
#105907082
#105906992
#105904672
#105904602
#105904472
#811473
#801373