Finite Group Databasebeta

← #11872859

Subgroups — #11872859

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#10594606C211yesmaximal, characteristic
2#10594355C211yesmaximal, characteristic, complemented
3#10592567C211yesmaximal, characteristic, complemented
4C3×#4871C211yesmaximal, characteristic, complemented
5C3×#4852C211yesmaximal, characteristic, complemented
6#10590943C211yesmaximal, characteristic
7#10590752C211yesmaximal, characteristic, complemented
8#10590744C211yesmaximal, characteristic, complemented
9#10590648C211yesmaximal, characteristic, complemented
10#10590597C211yesmaximal, characteristic
11#10590590C211yesmaximal, characteristic, complemented
12#10590559C211yesmaximal, characteristic, complemented
13#10590526C211yesmaximal, characteristic, complemented
14#10590467C211yesmaximal, characteristic, complemented
15#10590454C211yesmaximal, characteristic, complemented
16#81147—31nomaximal
17#79659—31nomaximal
18C2×#3802C2211yescharacteristic
19#64106C2211yescharacteristic
20#64101C2211yescharacteristic
21C2×C3×#204C2211yescharacteristic
22C3×#893C2211yescharacteristic
23C3×#893C2211yescharacteristic
24C3×#890C2211yescharacteristic, complemented
25C3×#887C2211yescharacteristic, complemented
26D3×(C2×D3)⋊C4—21no—
27D3×(C2×D3)⋊C4—21no—
28#63902—21no—
29C4×#625—21no—
30Dic3×D12C2211yescharacteristic
31Dic3×D12C2211yescharacteristic
32#63874C2211yescharacteristic
33#63871C2211yescharacteristic
34#63869—21no—
35#63868—21no—
36#63866C2211yescharacteristic, complemented
37#63848—21no—
38#63845—21no—
39#63844C2211yescharacteristic, complemented
40C2×#3716C2211yescharacteristic
41C2×#3716C2211yescharacteristic
42C2×#3715C2211yescharacteristic
43C32×#106C2211yescharacteristic, complemented
44#63647C2211yescharacteristic
45#63643C2211yescharacteristic, complemented
46#63637C2211yescharacteristic, complemented
47#63634C2211yescharacteristic, complemented
48C3×#821C2211yescharacteristic
49C3×Dic3⋊C8C2211yescharacteristic, complemented
50C3×C8×Dic3C2211yescharacteristic, complemented
51C3×#810C2211yescharacteristic, complemented
52C3×#809C2211yescharacteristic
53C3×#809C2211yescharacteristic
54C3×#807C2211yescharacteristic, complemented
55#63573C2211yescharacteristic, complemented
56Dic3⋊(C3⋊C8)C2211yescharacteristic, complemented
57#63566C2211yescharacteristic, complemented
58#63562C2211yescharacteristic
59#63557C2211yescharacteristic
60#63554C2211yescharacteristic, complemented
61#5698—31no—
62#5583—31no—
63#5545—31no—
64#5545—31no—
65C3×#478—31no—
66C3×C4×SD16—31no—
67#5169—31no—
68#5162—31no—
69#5066—31no—
70#5026—31no—
71#5019—31no—
72#5018—31no—
73#4889—31no—
74#4888—31no—
75#4871D311yescharacteristic, complemented
76#4868—31no—
77#4868—31no—
78#4868—61no—
79#4852D311yescharacteristic, complemented
80#4841—31no—
81#4840—31no—
82#4818—31no—
83#4815—31no—
84#4776—31no—
85#4776—31no—
86#4776—31no—
87#4763—31no—
88#4758—31no—
89#4757—31no—
90C4×#204—31no—
91#4690—31no—
92C22×D32—21no—
93C2×C4×C3⋊D3C2311yescharacteristic
94C2×#634C2311yescharacteristic
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
107C32×C4⋊C4C2311yescharacteristic
108#3752—21no—
109#3752—21no—
110C4⋊(C3⋊Dic3)—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112C4×C3⋊Dic3—21no—
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×(C2×D3)⋊C4—21no—
115C3×(C2×D3)⋊C4—21no—
116C3×C4⋊Dic3—21no—
117C3×C4⋊Dic3C2311yescharacteristic
118C3×Dic3⋊C4—21no—
119C3×Dic3⋊C4—21no—
120C3×C4×Dic3—21no—
121C3×C4×Dic3C2311yescharacteristic
122C3×C4×Dic3C2311yescharacteristic
123C2×C3×C3⋊C8C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C3×#204—22no—
126#3724—21no—
127#3724D411yescharacteristic
128#3724D411yescharacteristic
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132#3722—21no—
133#3722D411yescharacteristic
134#3722D411yescharacteristic
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138#3716—22no—
139#3716—22no—
140#3715—22no—
141#3123—91noSylow
142C2×D3×D4—31no—
143C2×D3×D4—31no—
144C2×C3×SD16—31no—
145C3×#125—31no—
146C3×C4×Q8—31no—
147C3×C4×D4—31no—
148C3×C4×D4—31no—
149#946—31no—
150#944—31no—
151C2×#215—31no—
152D4×Dic3—31no—
153D4×Dic3—31no—
154C2×#214—31no—
155C2×#214—31no—
156C2×#214—31no—
157C4×#67—61no—
158C4×#67—61no—
159C2×(C2×D3)⋊C4—61no—
160C2×(C2×D3)⋊C4—61no—
161C2×#204—31no—
162C2×#204—31no—
163C2×#204C2×D311yescharacteristic
164#898—61no—
165#898—61no—
166#898—61no—
167#897—31no—
168#897—31no—
169#897—31no—
170#897—61no—
171#893C2×D311yescharacteristic
172#893C2×D311yescharacteristic
173#892—31no—
174#892—31no—
175#892—61no—
176#890—61no—
177#890—61no—
178#890C2×D311yescharacteristic, complemented
179#889—61no—
180#887—31no—
181#887C2×D311yescharacteristic, complemented
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—61no—
192#869—31no—
193C4×Dic6—31no—
194C3×#107—31no—
195C3×#106—21no—
196C3×#106C2×D311yescharacteristic, complemented
197C3×#106C2×D311yescharacteristic, complemented
198C3×C4⋊C8—31no—
199C3×#103—31no—
200C3×#102—31no—
201C3×#102—31no—
202C3×#102—31no—
203C3×C4×C8—31no—
204#835—31no—
205#832—31no—
206#821C2×D311yescharacteristic
207(C2×D3)⋊C8—31no—
208(C2×D3)⋊C8—31no—
209(C2×D3)⋊C8—31no—
210(C2×D3)⋊C8—31no—
211(C2×D3)⋊C8—61no—
212#817—31no—
213#816—31no—
214#816—31no—
215#816—31no—
216#816—61no—
217#815—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8C2×D311yescharacteristic, complemented
220C8×Dic3C2×D311yescharacteristic, complemented
221#810—31no—
222#810—31no—
223#810—61no—
224#810C2×D311yescharacteristic, complemented
225#809—31no—
226#809C2×D311yescharacteristic
227#809C2×D311yescharacteristic
228#808—31no—
229#807—31no—
230#807—31no—
231#807—61no—
232#807C2×D311yescharacteristic, complemented
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—
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C4×C3⋊D3—21no—
248C4×C3⋊D3—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—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—31no—
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—31no—
290C2×C3×D4—31no—
291C2×C3×D4—31no—
292C22×C3×C4—61no—
293C22×C3×C4—61no—
294C2×#67—61no—
295C2×#67—61no—
296C22×Dic3—61no—
297C22×Dic3—61no—
298D3×D4—62no—
299D3×D4—62no—
300D3×D4—62no—
301D3×D4—62no—
302C2×D12C22×D311yescharacteristic
303C2×D12C22×D311yescharacteristic
304C2×C4×D3—21no—
305C2×C4×D3—21no—
306C2×C4×D3—31no—
307C2×C4×D3—31no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×Dic6—31no—
312C2×Dic6—31no—
313C2×Dic6—61no—
314C2×Dic6C22×D311yescharacteristic
315C3×SD16—62no—
316C2×C3×C8—21no—
317C2×C3×C8—31no—
318C2×C3×C8—31no—
319C2×C3×C8C22×D311yescharacteristic
320C2×C3×C8C22×D311yescharacteristic
321C3×C4⋊C4—21no—
322C3×C4⋊C4—21no—
323C3×C4⋊C4—31no—
324C3×C4⋊C4—61no—
325C3×C4⋊C4—61no—
326C3×C4⋊C4—61no—
327C3×C4⋊C4C22×D311yescharacteristic
328C3×C4⋊C4C22×D311yescharacteristic
329C3×C4⋊C4C22×D311yescharacteristic
330C3×C4⋊C4C22×D311yescharacteristic
331C3×C22⋊C4—61no—
332C3×C22⋊C4—61no—
333C3×C42—31no—
334C3×C42—31no—
335C3×C42—61no—
336#217—61no—
337#217—61no—
338#215—62no—
339#214—62no—
340#214—62no—
341#214—62no—
342(C2×D3)⋊C4—21no—
343(C2×D3)⋊C4—21no—
344(C2×D3)⋊C4—31no—
345(C2×D3)⋊C4—31no—
346(C2×D3)⋊C4—31no—
347(C2×D3)⋊C4—31no—
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—61no—
356(C2×D3)⋊C4—121no—
357(C2×D3)⋊C4—121no—
358C4⋊Dic3—21no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—121no—
368C4⋊Dic3C22×D311yescharacteristic
369Dic3⋊C4—21no—
370Dic3⋊C4—21no—
371Dic3⋊C4—31no—
372Dic3⋊C4—31no—
373Dic3⋊C4—31no—
374Dic3⋊C4—31no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380C4×Dic3—21no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—121no—
386C4×Dic3C22×D311yescharacteristic
387C4×Dic3C22×D311yescharacteristic
388C2×C3⋊C8—31no—
389C2×C3⋊C8—31no—
390C2×C3⋊C8—61no—
391C2×C3⋊C8C22×D311yescharacteristic
392C2×C3⋊C8C22×D311yescharacteristic
393#204—22no—
394#204—62no—
395#204—62no—
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—91no—
423C2×SD16—91no—
424C2×SD16—91no—
425C4⋊Q8—91no—
426#126—181no—
427#126—181no—
428#125—31no—
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—31no—
446#107—91no—
447#106—91no—
448#106D3211yescharacteristic, complemented
449C4⋊C8—31no—
450C4⋊C8—91no—
451#103—31no—
452#103—91no—
453#103—91no—
454#103—91no—
455#102—31no—
456#102—31no—
457#102—31no—
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—61no—
477C3×Q8—61no—
478C3×D4—32no—
479C3×D4—32no—
480C3×D4—61no—
481C3×D4—61no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—31no—
488C2×C3×C4—31no—
489C2×C3×C4—31no—
490C2×C3×C4—31no—
491C2×C3×C4—41no—
492C2×C3×C4—41no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—241no—
496C2×C3×C4—241no—
497C2×C3×C4C23×D311yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499#67—64no—
500#67—64no—
501C2×Dic3—21no—
502C2×Dic3—21no—
503C2×Dic3—31no—
504C2×Dic3—31no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—121no—
511C2×Dic3—121no—
512C2×Dic3—241no—
513C2×Dic3—241no—
514C2×Dic3D3×D411yescharacteristic
515C2×Dic3D3×D411yescharacteristic
516C2×Dic3D3×D411yescharacteristic
517C2×Dic3D3×D411yescharacteristic
518D12—21no—
519D12—21no—
520D12#23512yes—
521D12#23912yes—
522C4×D3—61no—
523C4×D3—61no—
524C4×D3—61no—
525C4×D3—61no—
526C4×D3—81no—
527C4×D3—81no—
528C4×D3—121no—
529C4×D3—121no—
530C4×D3—241no—
531C4×D3—241no—
532Dic6—21no—
533Dic6—21no—
534Dic6—61no—
535Dic6—61no—
536Dic6—61no—
537Dic6—61no—
538Dic6—121no—
539Dic6—121no—
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×Q8—91no—
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—182no—
571SD16—182no—
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—181no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4C2×D3211yescharacteristic
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×#23911yescharacteristic
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—61no—
672Q8—61no—
673Q8—181no—
674Q8—181no—
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#562711yescharacteristic
709C2×C3#576211yescharacteristic
710C2×C3#577011yescharacteristic
711C2×C3#577011yescharacteristic
712C2×C3#577511yescharacteristic
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×#23911yescharacteristic
742C3—21no—
743C3#7965911yescharacteristic, complemented
744C3#8114711yescharacteristic, complemented
745C2—122no—
746C2—122no—
747C2—361no—
748C2#1059462311yescharacteristic
749C2#1059474911yescharacteristic
750C2#1059475711yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#106C22
socleC22×C32C22×D4
prime radicalC2×#3802C22
hypercenter#106D32
hypocenterC32#3123
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #106

Complements

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

NH ≅ G/Ntype
2. #10594355C2semidirect
3. #10592567C2semidirect
4. C3×#4871C2semidirect
5. C3×#4852C2semidirect
7. #10590752C2semidirect
8. #10590744C2semidirect
9. #10590648C2semidirect
11. #10590590C2semidirect
12. #10590559C2semidirect
13. #10590526C2semidirect
14. #10590467C2semidirect
15. #10590454C2semidirect
24. C3×#890C22semidirect
25. C3×#887C22semidirect
36. #63866C22semidirect
39. #63844C22semidirect
43. C32×#106C22semidirect
45. #63643C22semidirect
46. #63637C22semidirect
47. #63634C22semidirect
49. C3×Dic3⋊C8C22semidirect
50. C3×C8×Dic3C22semidirect
51. C3×#810C22semidirect
54. C3×#807C22semidirect
55. #63573C22semidirect
56. Dic3⋊(C3⋊C8)C22semidirect
57. #63566C22semidirect
60. #63554C22semidirect
75. #4871D3semidirect
79. #4852D3semidirect
178. #890C2×D3semidirect
181. #887C2×D3semidirect
196. C3×#106C2×D3semidirect
197. C3×#106C2×D3semidirect
219. Dic3⋊C8C2×D3semidirect
220. C8×Dic3C2×D3semidirect
224. #810C2×D3semidirect
232. #807C2×D3semidirect
448. #106D32semidirect
664. C32#3123semidirect
743. C3#79659semidirect
744. C3#81147semidirect

Maximal subgroups

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

subgroupindex
#105946062
#105943552
#105925672
C3×#48712
C3×#48522
#105909432
#105907522
#105907442
#105906482
#105905972
#105905902
#105905592
#105905262
#105904672
#105904542
#811473
#796593