Finite Group Databasebeta

← #11872854

Subgroups — #11872854

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
1C3×#5521C211yesmaximal, characteristic
2#10594824C211yesmaximal, characteristic, complemented
3#10592695C211yesmaximal, characteristic, complemented
4C3×#4996C211yesmaximal, characteristic, complemented
5#10591172C211yesmaximal, characteristic
6#10591169C211yesmaximal, characteristic
7#10591056C211yesmaximal, characteristic, complemented
8#10590590C211yesmaximal, characteristic, complemented
9#10590559C211yesmaximal, characteristic, complemented
10#10590559C211yesmaximal, characteristic, complemented
11#10590545C211yesmaximal, characteristic, complemented
12#10590542C211yesmaximal, characteristic, complemented
13#10590479C211yesmaximal, characteristic, complemented
14#10590478C211yesmaximal, characteristic, complemented
15#10590475C211yesmaximal, characteristic, complemented
16#82545—31nomaximal
17#81498—31nomaximal
18C22×C3×D12C2211yescharacteristic
19C32×#117C2211yescharacteristic
20#64133C2211yescharacteristic
21C3×#926C2211yescharacteristic
22C3×#924C2211yescharacteristic
23C3×#893C2211yescharacteristic
24C3×#893C2211yescharacteristic
25C3×#893C2211yescharacteristic
26C3×#893C2211yescharacteristic
27C3×D3×C22⋊C4—21no—
28C3×D3×C22⋊C4—21no—
29C3×C4×D12—21no—
30C3×C4×D12—21no—
31#63956—21no—
32#63956—21no—
33#63869C2211yescharacteristic, complemented
34#63866C2211yescharacteristic, complemented
35#63847—21no—
36#63846—21no—
37#63844C2211yescharacteristic, complemented
38Dic3×Dic6C2211yescharacteristic, complemented
39C2×#3716C2211yescharacteristic
40C2×#3716C2211yescharacteristic
41C2×#3715C2211yescharacteristic
42C2×#3715C2211yescharacteristic
43#63657C2211yescharacteristic
44#63637C2211yescharacteristic, complemented
45#63637C2211yescharacteristic, complemented
46#63635C2211yescharacteristic, complemented
47#63634C2211yescharacteristic, complemented
48C3×#830C2211yescharacteristic
49C3×#810C2211yescharacteristic, complemented
50C3×#810C2211yescharacteristic, complemented
51C3×#808C2211yescharacteristic, complemented
52C3×#807C2211yescharacteristic, complemented
53Dic3⋊(C3⋊C8)C2211yescharacteristic, complemented
54Dic3⋊(C3⋊C8)C2211yescharacteristic, complemented
55#63563C2211yescharacteristic
56#63563C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic, complemented
60Dic3×C3⋊C8C2211yescharacteristic, complemented
61C3×#518—31no—
62#5625—31no—
63#5521D311yescharacteristic
64#5518—31no—
65C3×#485—31no—
66#5218—31no—
67#5218—31no—
68#5046—31no—
69#5019—31no—
70#5019—31no—
71#5018—31no—
72#5018—31no—
73C4×#214—31no—
74C4×#214—31no—
75#5009—31no—
76#5009—31no—
77#5000—31no—
78#4996—31no—
79#4996—31no—
80#4996—61no—
81#4996D311yescharacteristic, complemented
82#4891—31no—
83#4889—31no—
84#4871—31no—
85#4852—31no—
86#4818—31no—
87#4818—31no—
88#4817—31no—
89#4788—31no—
90#4731—31no—
91#4720—31no—
92C23×C3×D3—21no—
93C22×C32×C4C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C2×C3×D12—21no—
96C2×C3×D12—22no—
97C2×C3×D12—22no—
98C2×C3×D12C2311yescharacteristic
99C2×C3×D12C2311yescharacteristic
100C2×C3×C4×D3—21no—
101C2×C3×C4×D3—21no—
102C2×C3×C4×D3—21no—
103C2×C3×C4×D3—21no—
104C2×C3×Dic6C2311yescharacteristic
105C32×C4⋊C4C2311yescharacteristic
106C32×C4⋊C4C2311yescharacteristic
107C32×C22⋊C4—21no—
108C32×C42—21no—
109#3757—21no—
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111#3750—21no—
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#217—21no—
115C3×#217D411yescharacteristic
116C3×#217D411yescharacteristic
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3D411yescharacteristic
122C3×C4⋊Dic3D411yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3C2311yescharacteristic
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129#3724—21no—
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic32—21no—
136Dic32—21no—
137#3716—22no—
138#3716—22no—
139#3715—22no—
140#3715—22no—
141#3123—91noSylow
142C22×C3×D4—31no—
143C22×D12C2×D311yescharacteristic
144C3×C22⋊Q8—31no—
145C3×C4×D4—31no—
146C3×C4×D4—31no—
147C3×C4×D4—31no—
148C3×C4×D4—31no—
149C3×C4×D4—61no—
150C3×C4×D4—61no—
151C3×#117—21no—
152C3×#117—31no—
153C3×#117C2×D311yescharacteristic
154C3×#117C2×D311yescharacteristic
155C2×C3×C22⋊C4—61no—
156C2×C3×C22⋊C4—61no—
157Q8×Dic3—31no—
158#944—31no—
159C2×#215—31no—
160C2×#215—31no—
161C2×#214—31no—
162C2×#214—31no—
163C2×#214—31no—
164C2×#214—31no—
165#926C2×D311yescharacteristic
166#924—31no—
167#924—31no—
168#924—61no—
169#924C2×D311yescharacteristic
170C2×#204—31no—
171C2×#204—31no—
172#893C2×D311yescharacteristic
173#893C2×D311yescharacteristic
174#893C2×D311yescharacteristic
175#893C2×D311yescharacteristic
176#890—31no—
177#890—61no—
178#889—61no—
179#889—61no—
180#889—61no—
181#887—31no—
182D3×C22⋊C4—21no—
183D3×C22⋊C4—21no—
184#879—61no—
185#879—61no—
186#879—61no—
187#879—61no—
188C4×D12—21no—
189C4×D12—21no—
190#870—31no—
191#869—31no—
192C4×Dic6—31no—
193C4×Dic6—31no—
194C3×#107—31no—
195C3×#106—31no—
196C3×#103—31no—
197C3×#103—31no—
198C3×C22⋊C8—31no—
199#832—31no—
200#832—31no—
201#832—31no—
202#832—31no—
203#830—31no—
204#830—31no—
205#830—61no—
206#830C2×D311yescharacteristic
207#821—31no—
208#821—31no—
209#815—31no—
210Dic3⋊C8—31no—
211Dic3⋊C8—31no—
212C8×Dic3—31no—
213#810—31no—
214#810—31no—
215#810—31no—
216#810—31no—
217#810—61no—
218#810—61no—
219#810C2×D311yescharacteristic, complemented
220#810C2×D311yescharacteristic, complemented
221#809—31no—
222#809—31no—
223#808—31no—
224#808—31no—
225#808—61no—
226#808C2×D311yescharacteristic, complemented
227#807—31no—
228#807—31no—
229#807—61no—
230#807C2×D311yescharacteristic, complemented
231C4⋊(C3⋊C8)—31no—
232C4⋊(C3⋊C8)—31no—
233#803—31no—
234C4×C3⋊C8—31no—
235C23×C32C2×D411yescharacteristic
236C22×C3×D3—21no—
237C22×C3×D3—21no—
238C22×C3×D3—24no—
239C22×C3×D3—81no—
240C22×C3×D3—81no—
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4—21no—
245C2×C32×C4C2×D411yescharacteristic
246C2×C32×C4C2411yescharacteristic
247C2×C3⋊Dic3—21no—
248C2×C3⋊Dic3—21no—
249#634—21no—
250#634—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—24no—
258C3×D12—21no—
259C3×D12—21no—
260C3×D12#4112yes—
261C3×D12#4112yes—
262C3×C4×D3—81no—
263C3×C4×D3—81no—
264C3×C4×D3—81no—
265C3×C4×D3—81no—
266C3×Dic6—21no—
267C3×Dic6—21no—
268C3⋊(C3⋊C8)—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#541—91no—
273#518—31no—
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—91no—
285C4×SD16—91no—
286#433—91no—
287C24×C3—61no—
288C23×D3—21no—
289C2×C3×Q8—31no—
290C2×C3×D4—31no—
291C2×C3×D4—31no—
292C2×C3×D4—62no—
293C2×C3×D4—62no—
294C2×C3×D4—61no—
295C22×C3×C4—21no—
296C22×C3×C4—61no—
297C22×C3×C4—61no—
298C22×C3×C4—61no—
299C22×C3×C4—61no—
300C22×C3×C4C22×D311yescharacteristic
301C22×C3×C4C22×D311yescharacteristic
302C2×D12—21no—
303C2×D12—22no—
304C2×D12—22no—
305C2×D12C22×D311yescharacteristic
306C2×D12C22×D311yescharacteristic
307C2×C4×D3—21no—
308C2×C4×D3—21no—
309C2×C4×D3—21no—
310C2×C4×D3—21no—
311C2×Dic6—31no—
312C2×Dic6—31no—
313C2×Dic6—61no—
314C2×Dic6C22×D311yescharacteristic
315C2×C3×C8—31no—
316C2×C3×C8—31no—
317C3×C4⋊C4—21no—
318C3×C4⋊C4—21no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—31no—
321C3×C4⋊C4—31no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4C22×D311yescharacteristic
324C3×C4⋊C4C22×D311yescharacteristic
325C3×C4⋊C4C22×D311yescharacteristic
326C3×C4⋊C4C22×D311yescharacteristic
327C3×C22⋊C4—21no—
328C3×C22⋊C4—21no—
329C3×C22⋊C4—31no—
330C3×C22⋊C4—31no—
331C3×C22⋊C4—41no—
332C3×C22⋊C4—61no—
333C3×C22⋊C4—61no—
334C3×C22⋊C4—61no—
335C3×C22⋊C4—61no—
336C3×C22⋊C4—61no—
337C3×C42—21no—
338C3×C42—21no—
339C3×C42—31no—
340C3×C42—31no—
341C3×C42—41no—
342#217—21no—
343#217—61no—
344#217—61no—
345#217—121no—
346#217#6711yescharacteristic
347#217#6711yescharacteristic
348#215—62no—
349#215—62no—
350#214—62no—
351#214—62no—
352#214—62no—
353#214—62no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—21no—
356(C2×D3)⋊C4—21no—
357(C2×D3)⋊C4—21no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3#6711yescharacteristic
366C4⋊Dic3#6711yescharacteristic
367C4⋊Dic3C22×D311yescharacteristic
368Dic3⋊C4—21no—
369Dic3⋊C4—61no—
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—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3C22×D311yescharacteristic
385C4×Dic3C22×D311yescharacteristic
386C2×C3⋊C8—31no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—31no—
389C2×C3⋊C8—31no—
390C2×C3⋊C8—61no—
391C2×C3⋊C8—61no—
392C2×C3⋊C8C22×D311yescharacteristic
393C2×C3⋊C8C22×D311yescharacteristic
394#204—62no—
395#204—62no—
396C22×C32—21no—
397C22×C32—21no—
398C22×C32—21no—
399C22×C32C22×D411yescharacteristic
400C2×C3×D3—22no—
401C2×C3×D3—22no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—84no—
407C32×C4—21no—
408C32×C4—41no—
409C32×C4—41no—
410C32×C4C2×#4111yescharacteristic
411C32×C4C2×#4111yescharacteristic
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—31no—
421C2×SD16—91no—
422C2×SD16—91no—
423C2×SD16—91no—
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—91no—
434C4×Q8—91no—
435C4×D4—31no—
436C4×D4—31no—
437C4×D4—31no—
438C4×D4—31no—
439C4×D4—61no—
440C4×D4—61no—
441#117—31no—
442#117D3211yescharacteristic
443C2×C22⋊C4—61no—
444C2×C22⋊C4—61no—
445#107—31no—
446#107—91no—
447#106—31no—
448#106—91no—
449C4⋊C8—91no—
450C4⋊C8—91no—
451#103—31no—
452#103—31no—
453#103—91no—
454#103—91no—
455#102—91no—
456#102—91no—
457#102—91no—
458#102—91no—
459C22⋊C8—31no—
460C22⋊C8—91no—
461#97—91no—
462C4×C8—91no—
463C23×C3—21no—
464C23×C3—64no—
465C23×C3—61no—
466C23×C3—61no—
467C23×C3—241no—
468C23×C3—241no—
469C23×C3D3×D411yescharacteristic
470C23×C3C2×#6711yescharacteristic
471C22×D3—21no—
472C22×D3—21no—
473C22×D3—24no—
474C22×D3—81no—
475C22×D3—81no—
476C3×Q8—61no—
477C3×Q8—61no—
478C3×D4—32no—
479C3×D4—32no—
480C3×D4—64no—
481C3×D4—61no—
482C3×D4—61no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
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—41no—
500C2×C3×C4—41no—
501C2×C3×C4—61no—
502C2×C3×C4—61no—
503C2×C3×C4—241no—
504C2×C3×C4—241no—
505C2×C3×C4—241no—
506C2×C3×C4—241no—
507C2×C3×C4D3×D411yescharacteristic
508C2×C3×C4C2×#6711yescharacteristic
509C2×C3×C4C23×D311yescharacteristic
510C2×C3×C4C23×D311yescharacteristic
511C2×Dic3—21no—
512C2×Dic3—21no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—121no—
518C2×Dic3—121no—
519C2×Dic3C2×#6711yescharacteristic
520C2×Dic3C2×#6711yescharacteristic
521C2×Dic3C2×#6711yescharacteristic
522C2×Dic3C2×#6711yescharacteristic
523D12—24no—
524D12—21no—
525D12—21no—
526D12#23512yes—
527D12#23512yes—
528C4×D3—81no—
529C4×D3—81no—
530C4×D3—81no—
531C4×D3—81no—
532Dic6—21no—
533Dic6—21no—
534Dic6—61no—
535Dic6—61no—
536Dic6—61no—
537Dic6—61no—
538Dic6—121no—
539Dic6—121no—
540C3×C8—61no—
541C3×C8—61no—
542C3⋊C8—21no—
543C3⋊C8—21no—
544C3⋊C8—61no—
545C3⋊C8—61no—
546C3⋊C8—61no—
547C3⋊C8—61no—
548C3⋊C8—121no—
549C3⋊C8—121no—
550C2×C32—41no—
551C2×C32#52511yescharacteristic
552C2×C32#57711yescharacteristic
553C2×C32#57711yescharacteristic
554C3×D3—42no—
555C3×D3—42no—
556C24—61no—
557C2×Q8—31no—
558C2×Q8—91no—
559C2×D4—31no—
560C2×D4—31no—
561C2×D4—62no—
562C2×D4—62no—
563C2×D4—61no—
564C22×C4—61no—
565C22×C4—61no—
566C22×C4—61no—
567C22×C4—61no—
568C22×C4C2×D3211yescharacteristic
569SD16—182no—
570SD16—182no—
571SD16—182no—
572SD16—182no—
573C2×C8—31no—
574C2×C8—31no—
575C2×C8—91no—
576C2×C8—91no—
577C4⋊C4—31no—
578C4⋊C4—31no—
579C4⋊C4—31no—
580C4⋊C4—61no—
581C4⋊C4—91no—
582C4⋊C4—181no—
583C4⋊C4—181no—
584C4⋊C4—181no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4C2×D3211yescharacteristic
590C4⋊C4C2×D3211yescharacteristic
591C22⋊C4—21no—
592C22⋊C4—31no—
593C22⋊C4—31no—
594C22⋊C4—61no—
595C22⋊C4—61no—
596C22⋊C4—61no—
597C22⋊C4—61no—
598C22⋊C4—61no—
599C22⋊C4—181no—
600C42—21no—
601C42—31no—
602C42—31no—
603C42—181no—
604C42—181no—
605C22×C3—21no—
606C22×C3—21no—
607C22×C3—21no—
608C22×C3—21no—
609C22×C3—21no—
610C22×C3—21no—
611C22×C3—21no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—62no—
616C22×C3—62no—
617C22×C3—121no—
618C22×C3—121no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3—244no—
622C22×C3C2×D3×D411yescharacteristic
623C22×C3C22×#6711yescharacteristic
624C2×D3—22no—
625C2×D3—22no—
626C2×D3—41no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—41no—
630C2×D3—84no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—61no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—61no—
644C3×C4—81no—
645C3×C4—81no—
646C3×C4—121no—
647C3×C4—121no—
648C3×C4C2×#23511yescharacteristic
649C3×C4C2×#23511yescharacteristic
650C3×C4D3×#4111yescharacteristic
651C3×C4D3×#4111yescharacteristic
652Dic3—21no—
653Dic3—21no—
654Dic3—21no—
655Dic3—21no—
656Dic3—41no—
657Dic3—41no—
658Dic3—121no—
659Dic3—121no—
660Dic3—121no—
661Dic3—121no—
662Dic3—241no—
663Dic3—241no—
664C32#312311yescharacteristic, complemented, Sylow
665C23—64no—
666C23—61no—
667C23—61no—
668C23—241no—
669C23—241no—
670C23D3×#6711yescharacteristic
671Q8—61no—
672Q8—61no—
673Q8—181no—
674Q8—181no—
675D4—32no—
676D4—32no—
677D4—64no—
678D4—61no—
679D4—61no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—31no—
687C2×C4—31no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—181no—
691C2×C4—181no—
692C2×C4—241no—
693C2×C4—241no—
694C2×C4—241no—
695C2×C4—241no—
696C2×C4D3×#6711yescharacteristic
697C2×C4C22×D3211yescharacteristic
698C8—61no—
699C8—61no—
700C8—181no—
701C8—181no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—41no—
706C2×C3—41no—
707C2×C3—81no—
708C2×C3—122no—
709C2×C3—122no—
710C2×C3#565611yescharacteristic
711C2×C3#577011yescharacteristic
712C2×C3#577811yescharacteristic
713C2×C3#579111yescharacteristic
714C2×C3#583611yescharacteristic
715C2×C3#583611yescharacteristic
716D3—42no—
717D3—42no—
718C22—21no—
719C22—21no—
720C22—21no—
721C22—62no—
722C22—62no—
723C22—121no—
724C22—121no—
725C22—121no—
726C22—121no—
727C22—244no—
728C22C2×D3×#6711yescharacteristic
729C4—21no—
730C4—41no—
731C4—41no—
732C4—61no—
733C4—61no—
734C4—61no—
735C4—61no—
736C4—121no—
737C4—121no—
738C4—361no—
739C4—361no—
740C4D3×#23511yescharacteristic
741C4D3×#23511yescharacteristic
742C3—21no—
743C3#8149811yescharacteristic, complemented
744C3#8254511yescharacteristic, complemented
745C2—41no—
746C2—122no—
747C2—122no—
748C2#1059489611yescharacteristic
749C2#1059546411yescharacteristic
750C2#1059546611yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#117C22
socleC22×C32C22×D4
prime radicalC22×C3×D12C22
hypercenter#117D32
hypocenterC32#3123
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ #117

Complements

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

NH ≅ G/Ntype
2. #10594824C2semidirect
3. #10592695C2semidirect
4. C3×#4996C2semidirect
7. #10591056C2semidirect
8. #10590590C2semidirect
9. #10590559C2semidirect
10. #10590559C2semidirect
11. #10590545C2semidirect
12. #10590542C2semidirect
13. #10590479C2semidirect
14. #10590478C2semidirect
15. #10590475C2semidirect
33. #63869C22semidirect
34. #63866C22semidirect
37. #63844C22semidirect
38. Dic3×Dic6C22semidirect
44. #63637C22semidirect
45. #63637C22semidirect
46. #63635C22semidirect
47. #63634C22semidirect
49. C3×#810C22semidirect
50. C3×#810C22semidirect
51. C3×#808C22semidirect
52. C3×#807C22semidirect
53. Dic3⋊(C3⋊C8)C22semidirect
54. Dic3⋊(C3⋊C8)C22semidirect
59. #63554C22semidirect
60. Dic3×C3⋊C8C22semidirect
81. #4996D3semidirect
219. #810C2×D3semidirect
220. #810C2×D3semidirect
226. #808C2×D3semidirect
230. #807C2×D3semidirect
664. C32#3123semidirect
743. C3#81498semidirect
744. C3#82545semidirect

Maximal subgroups

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

subgroupindex
C3×#55212
#105948242
#105926952
C3×#49962
#105911722
#105911692
#105910562
#105905902
#105905592
#105905452
#105905422
#105904792
#105904782
#105904752
#825453
#814983