Finite Group Databasebeta

← #11872821

Subgroups — #11872821

Order 1152.

839 conjugacy classes of subgroups.

The subgroup lattice has 751 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595215C211yesmaximal, characteristic
2#10594345C211yesmaximal, characteristic, complemented
3#10592465C211yesmaximal, characteristic, complemented
4C3×#4776C211yesmaximal, characteristic
5C3×#4757C211yesmaximal, characteristic, complemented
6#10591497C211yesmaximal, characteristic, complemented
7#10591458C211yesmaximal, characteristic
8Dic3×#214C211yesmaximal, characteristic, complemented
9#10590766C211yesmaximal, characteristic, complemented
10#10590748C211yesmaximal, characteristic, complemented
11#10590710C211yesmaximal, characteristic, complemented
12#10590697C211yesmaximal, characteristic, complemented
13#10590473C211yesmaximal, characteristic, complemented
14#10590453C211yesmaximal, characteristic, complemented
15#10590448C211yesmaximal, characteristic, complemented
16#80137—31nomaximal
17#79787—31nomaximal
18C2×C3×D3×D4C2211yescharacteristic
19D4×C3⋊Dic3C2211yescharacteristic
20#64099C2211yescharacteristic, complemented
21C3×D4×Dic3C2211yescharacteristic
22C2×C3×#214C2211yescharacteristic
23C2×C3×#214C2211yescharacteristic
24C2×C3×#204C2211yescharacteristic
25C3×#897C2211yescharacteristic
26C3×#887C2211yescharacteristic, complemented
27#67⋊Dic3—21no—
28Dic3×#67—21no—
29D3×#217—21no—
30C2×(C2×D3)⋊Dic3—21no—
31#63898C2211yescharacteristic
32Dic3×D12C2211yescharacteristic
33#63873C2211yescharacteristic, complemented
34#63869—21no—
35#63861—21no—
36#63859—21no—
37#63856C2211yescharacteristic
38#63855C2211yescharacteristic
39#63847—21no—
40Dic3×Dic6C2211yescharacteristic, complemented
41#63841C2211yescharacteristic
42C2×#3715C2211yescharacteristic
43C32×#102C2211yescharacteristic
44#63659C2211yescharacteristic
45#63645C2211yescharacteristic, complemented
46#63641C2211yescharacteristic, complemented
47#63635C2211yescharacteristic, complemented
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×#816C2211yescharacteristic, complemented
50C3×#815C2211yescharacteristic, complemented
51C3×#809C2211yescharacteristic
52C3×#807C2211yescharacteristic, complemented
53#63573C2211yescharacteristic, complemented
54#63572C2211yescharacteristic, complemented
55#63566C2211yescharacteristic, complemented
56#63566C2211yescharacteristic, complemented
57#63565C2211yescharacteristic, complemented
58#63563C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic, complemented
61#5798—31no—
62#5625—31no—
63#5583—31no—
64#5545—31no—
65C3×#450—31no—
66C3×#440—31no—
67#5218—31no—
68#5169—31no—
69#5164—31no—
70#5162—31no—
71#5162—31no—
72#5162—31no—
73Dic3×SD16—31no—
74#5045—31no—
75C4×#215—31no—
76C4×#214—31no—
77#4891—31no—
78#4888—31no—
79#4818—31no—
80#4814—31no—
81#4776D311yescharacteristic
82#4766—31no—
83#4766—31no—
84#4766—61no—
85#4763—31no—
86#4758—31no—
87#4757D311yescharacteristic, complemented
88#4723—31no—
89#4720—31no—
90#4710—31no—
91#4709—31no—
92C23×C3×D3—21no—
93C2×C32×D4C2311yescharacteristic
94C22×C3⋊Dic3—21no—
95C2×C3×#67—21no—
96C22×C3×Dic3—21no—
97C3×D3×D4—22no—
98C3×D3×D4—22no—
99C2×C3×D12C2311yescharacteristic
100C2×C3×C4×D3C2311yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105C2×C32×C8C2311yescharacteristic
106C32×C4⋊C4C2311yescharacteristic
107#3757—21no—
108C4⋊(C3⋊Dic3)—21no—
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111#3750—21no—
112C4×C3⋊Dic3C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#217—21no—
115C3×#214—22no—
116C3×#214—22no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×Dic3⋊C4—21no—
121C3×C4×Dic3—21no—
122C3×C4×Dic3C2311yescharacteristic
123C2×C3×C3⋊C8C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C3×#204—22no—
126#3724—21no—
127#3724—21no—
128#3724—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#3715—22no—
141#3123—91noSylow
142C22×C3×D4—31no—
143C2×D3×D4C2×D311yescharacteristic
144C2×C3×SD16—31no—
145C2×C3×SD16—31no—
146C2×C3×SD16—31no—
147C3×C22⋊Q8—31no—
148C3×C4×Q8—31no—
149C3×C4×D4—31no—
150C2×#217—61no—
151C2×#217—61no—
152#946—31no—
153Q8×Dic3—31no—
154#944—31no—
155#944—31no—
156C2×#215—31no—
157D4×Dic3—31no—
158D4×Dic3—31no—
159D4×Dic3—31no—
160D4×Dic3—31no—
161D4×Dic3—61no—
162D4×Dic3—61no—
163D4×Dic3—61no—
164D4×Dic3C2×D311yescharacteristic
165C2×#214—31no—
166C2×#214C2×D311yescharacteristic
167C2×#214C2×D311yescharacteristic
168C4×#67—61no—
169C2×(C2×D3)⋊C4—61no—
170#926—31no—
171#926—31no—
172#924—31no—
173C2×#204C2×D311yescharacteristic
174#898—61no—
175#897C2×D311yescharacteristic
176#893—31no—
177#892—31no—
178#890—31no—
179#890—31no—
180#890—61no—
181#890—61no—
182#889—61no—
183#889—61no—
184#887C2×D311yescharacteristic, complemented
185#67⋊C4—61no—
186D3×C22⋊C4—61no—
187#879—61no—
188#879—61no—
189#876—61no—
190C4×D12—31no—
191#872—31no—
192#870—61no—
193C4×Dic6—31no—
194C3×#107—31no—
195C3×#103—31no—
196C3×#102—21no—
197C3×#102—31no—
198C3×#102C2×D311yescharacteristic
199C3×#102C2×D311yescharacteristic
200C3×C22⋊C8—31no—
201C3×#97—31no—
202#835—31no—
203#835—31no—
204#835—31no—
205#832—31no—
206#832—31no—
207#832—31no—
208#832—61no—
209#830—31no—
210#821—31no—
211(C2×D3)⋊C8—31no—
212(C2×D3)⋊C8C2×D311yescharacteristic
213#818—31no—
214#818—31no—
215#818—61no—
216#817—31no—
217#816—31no—
218#816—31no—
219#816C2×D311yescharacteristic, complemented
220#815C2×D311yescharacteristic, complemented
221Dic3⋊C8—31no—
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8—31no—
225Dic3⋊C8—61no—
226C8×Dic3—31no—
227#810—31no—
228#809C2×D311yescharacteristic
229#808—31no—
230#808—31no—
231#808—31no—
232#808—61no—
233#807C2×D311yescharacteristic, complemented
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
250C3×#67—24no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—81no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C3×D12—21no—
259C3×D12#4112yes—
260C3×C4×D3—21no—
261C3×C4×D3—21no—
262C3×Dic6—21no—
263C3×Dic6—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—91no—
277#478—91no—
278#461—91no—
279#461—91no—
280#450—31no—
281#450—91no—
282#440—31no—
283#440—91no—
284C4×SD16—91no—
285C4×SD16—91no—
286#433—91no—
287C24×C3—61no—
288C23×D3—21no—
289C2×C3×Q8—31no—
290C2×C3×Q8—31no—
291C2×C3×D4—21no—
292C2×C3×D4—31no—
293C2×C3×D4—61no—
294C2×C3×D4—62no—
295C2×C3×D4—62no—
296C2×C3×D4C22×D311yescharacteristic
297C2×C3×D4C22×D311yescharacteristic
298C22×C3×C4—31no—
299C22×C3×C4—61no—
300C2×#67—21no—
301C22×Dic3—21no—
302C22×Dic3—61no—
303C22×Dic3—61no—
304C22×Dic3—61no—
305C22×Dic3—61no—
306C22×Dic3—121no—
307D3×D4—22no—
308D3×D4—22no—
309C2×D12C22×D311yescharacteristic
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3C22×D311yescharacteristic
313C2×Dic6C22×D311yescharacteristic
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⋊C4C22×D311yescharacteristic
328C3×C4⋊C4C22×D311yescharacteristic
329C3×C22⋊C4—61no—
330C3×C22⋊C4—61no—
331C3×C42—31no—
332C3×C42—61no—
333#217—21no—
334#217—31no—
335#217—31no—
336#217—61no—
337#217—61no—
338#217—61no—
339#217—61no—
340#217—61no—
341#217—61no—
342#217—121no—
343#215—62no—
344#214—22no—
345#214—22no—
346#214—62no—
347(C2×D3)⋊C4—21no—
348(C2×D3)⋊C4—31no—
349(C2×D3)⋊C4—31no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354C4⋊Dic3—21no—
355C4⋊Dic3—31no—
356C4⋊Dic3—31no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—121no—
367C4⋊Dic3C22×D311yescharacteristic
368Dic3⋊C4—21no—
369Dic3⋊C4—31no—
370Dic3⋊C4—31no—
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—61no—
380Dic3⋊C4—121no—
381C4×Dic3—21no—
382C4×Dic3—31no—
383C4×Dic3—31no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
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×C32—22no—
397C22×C32—41no—
398C22×C32—41no—
399C22×C32C22×D411yescharacteristic
400C2×C3×D3—21no—
401C2×C3×D3—22no—
402C2×C3×D3—21no—
403C2×C3×D3—21no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—84no—
407C32×C4—41no—
408C32×C4C2×#4111yescharacteristic
409C32×C4C2×#4111yescharacteristic
410C3⋊Dic3—21no—
411C3⋊Dic3—21no—
412C3⋊Dic3—41no—
413C3⋊Dic3—41no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C22×D4—31no—
421C2×SD16—31no—
422C2×SD16—31no—
423C2×SD16—31no—
424C2×SD16—91no—
425C4⋊Q8—91no—
426#126—181no—
427#126—181no—
428#125—91no—
429#125—181no—
430#125—181no—
431C22⋊Q8—31no—
432C22⋊Q8—91no—
433C4×Q8—31no—
434C4×Q8—91no—
435C4×D4—31no—
436C4×D4—91no—
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—31no—
446#107—91no—
447#106—91no—
448#106—91no—
449C4⋊C8—91no—
450C4⋊C8—91no—
451#103—31no—
452#103—91no—
453#103—91no—
454#103—91no—
455#102—31no—
456#102—91no—
457#102—91no—
458#102D3211yescharacteristic
459C22⋊C8—31no—
460C22⋊C8—91no—
461#97—31no—
462C4×C8—91no—
463C23×C3—21no—
464C23×C3—21no—
465C23×C3—31no—
466C23×C3—41no—
467C23×C3—64no—
468C23×C3—61no—
469C23×C3—241no—
470C23×C3—241no—
471C22×D3—21no—
472C22×D3—24no—
473C22×D3—81no—
474C22×D3—81no—
475C22×D3D3×D411yescharacteristic
476C3×Q8—61no—
477C3×Q8—61no—
478C3×Q8—61no—
479C3×Q8—61no—
480C3×D4—21no—
481C3×D4—21no—
482C3×D4—22no—
483C3×D4—32no—
484C3×D4—41no—
485C3×D4—64no—
486C3×D4—61no—
487C3×D4#23512yes—
488C3×D4#23712yes—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
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—24no—
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—61no—
517C2×Dic3—61no—
518C2×Dic3—81no—
519C2×Dic3—121no—
520C2×Dic3—121no—
521C2×Dic3—241no—
522C2×Dic3—241no—
523C2×Dic3—241no—
524C2×Dic3—241no—
525C2×Dic3—242no—
526C2×Dic3D3×D411yescharacteristic
527C2×Dic3D3×D411yescharacteristic
528C2×Dic3D3×D411yescharacteristic
529D12—21no—
530D12#23712yes—
531C4×D3—21no—
532C4×D3—21no—
533C4×D3—241no—
534C4×D3—241no—
535Dic6—21no—
536Dic6—21no—
537Dic6—21no—
538Dic6—21no—
539C3×C8—21no—
540C3×C8—21no—
541C3×C8—41no—
542C3×C8—61no—
543C3×C8—61no—
544C3⋊C8—21no—
545C3⋊C8—21no—
546C3⋊C8—61no—
547C3⋊C8—61no—
548C3⋊C8—121no—
549C2×C32—42no—
550C2×C32#52511yescharacteristic
551C2×C32#57711yescharacteristic
552C2×C32#57711yescharacteristic
553C3×D3—41no—
554C3×D3—42no—
555C24—61no—
556C2×Q8—31no—
557C2×Q8—31no—
558C2×D4—31no—
559C2×D4—61no—
560C2×D4—62no—
561C2×D4—62no—
562C2×D4C2×D3211yescharacteristic
563C22×C4—31no—
564C22×C4—61no—
565C22×C4—181no—
566C22×C4—181no—
567C22×C4—181no—
568SD16—62no—
569SD16—62no—
570SD16—62no—
571SD16—182no—
572C2×C8—31no—
573C2×C8—31no—
574C2×C8—91no—
575C2×C8C2×D3211yescharacteristic
576C4⋊C4—31no—
577C4⋊C4—61no—
578C4⋊C4—61no—
579C4⋊C4—91no—
580C4⋊C4—91no—
581C4⋊C4—91no—
582C4⋊C4—91no—
583C4⋊C4—181no—
584C4⋊C4—181no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4C2×D3211yescharacteristic
590C22⋊C4—61no—
591C22⋊C4—61no—
592C22⋊C4—91no—
593C22⋊C4—91no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C42—31no—
600C42—61no—
601C42—91no—
602C42—181no—
603C42—181no—
604C22×C3—22no—
605C22×C3—22no—
606C22×C3—21no—
607C22×C3—42no—
608C22×C3—41no—
609C22×C3—41no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3—61no—
613C22×C3—61no—
614C22×C3—61no—
615C22×C3—62no—
616C22×C3—81no—
617C22×C3—81no—
618C22×C3—121no—
619C22×C3—121no—
620C22×C3—244no—
621C22×C3C2×D3×D411yescharacteristic
622C22×C3C2×D3×D411yescharacteristic
623C2×D3—21no—
624C2×D3—21no—
625C2×D3—21no—
626C2×D3—22no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—84no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—41no—
633C3×C4—41no—
634C3×C4—61no—
635C3×C4—61no—
636C3×C4—61no—
637C3×C4—81no—
638C3×C4—121no—
639C3×C4—121no—
640C3×C4—121no—
641C3×C4C2×#23511yescharacteristic
642C3×C4C2×#23711yescharacteristic
643C3×C4C2×#23711yescharacteristic
644C3×C4D3×#4111yescharacteristic
645Dic3—21no—
646Dic3—21no—
647Dic3—21no—
648Dic3—41no—
649Dic3—41no—
650Dic3—41no—
651Dic3—61no—
652Dic3—61no—
653Dic3—61no—
654Dic3—61no—
655Dic3—121no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—121no—
660Dic3—121no—
661Dic3—241no—
662Dic3—241no—
663C32#312311yescharacteristic, complemented, Sylow
664C23—21no—
665C23—31no—
666C23—64no—
667C23—61no—
668C23—241no—
669C23—241no—
670Q8—61no—
671Q8—61no—
672Q8—61no—
673Q8—61no—
674D4—21no—
675D4—32no—
676D4—64no—
677D4—61no—
678D4#379512yes—
679C2×C4—21no—
680C2×C4—31no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—91no—
689C2×C4—91no—
690C2×C4—181no—
691C2×C4—181no—
692C2×C4—241no—
693C2×C4—721no—
694C2×C4—721no—
695C2×C4—721no—
696C2×C4C22×D3211yescharacteristic
697C8—21no—
698C8—61no—
699C8—61no—
700C8—181no—
701C2×C3—21no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—42no—
705C2×C3—42no—
706C2×C3—82no—
707C2×C3—121no—
708C2×C3—122no—
709C2×C3#554711yescharacteristic
710C2×C3#558611yescharacteristic
711C2×C3#576211yescharacteristic
712C2×C3#577511yescharacteristic
713C2×C3#577511yescharacteristic
714C2×C3#577811yescharacteristic
715D3—41no—
716D3—42no—
717C22—22no—
718C22—41no—
719C22—41no—
720C22—61no—
721C22—62no—
722C22—61no—
723C22—61no—
724C22—121no—
725C22—121no—
726C22—244no—
727C22D32×D411yescharacteristic
728C4—41no—
729C4—61no—
730C4—61no—
731C4—61no—
732C4—121no—
733C4—121no—
734C4—121no—
735C4—181no—
736C4—181no—
737C4—361no—
738C4—361no—
739C4C2×#379511yescharacteristic
740C4D3×#23711yescharacteristic
741C3—21no—
742C3#7978711yescharacteristic, complemented
743C3#8013711yescharacteristic, complemented
744C2—42no—
745C2—121no—
746C2—122no—
747C2#1059405411yescharacteristic
748C2#1059473311yescharacteristic
749C2#1059475111yescharacteristic
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. #10594345C2semidirect
3. #10592465C2semidirect
5. C3×#4757C2semidirect
6. #10591497C2semidirect
8. Dic3×#214C2semidirect
9. #10590766C2semidirect
10. #10590748C2semidirect
11. #10590710C2semidirect
12. #10590697C2semidirect
13. #10590473C2semidirect
14. #10590453C2semidirect
15. #10590448C2semidirect
20. #64099C22semidirect
26. C3×#887C22semidirect
33. #63873C22semidirect
40. Dic3×Dic6C22semidirect
45. #63645C22semidirect
46. #63641C22semidirect
47. #63635C22semidirect
49. C3×#816C22semidirect
50. C3×#815C22semidirect
52. C3×#807C22semidirect
53. #63573C22semidirect
54. #63572C22semidirect
55. #63566C22semidirect
56. #63566C22semidirect
57. #63565C22semidirect
60. Dic3×C3⋊C8C22semidirect
87. #4757D3semidirect
184. #887C2×D3semidirect
219. #816C2×D3semidirect
220. #815C2×D3semidirect
233. #807C2×D3semidirect
663. C32#3123semidirect
742. C3#79787semidirect
743. C3#80137semidirect

Maximal subgroups

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

subgroupindex
#105952152
#105943452
#105924652
C3×#47762
C3×#47572
#105914972
#105914582
Dic3×#2142
#105907662
#105907482
#105907102
#105906972
#105904732
#105904532
#105904482
#801373
#797873