Finite Group Databasebeta

← #11858192

Subgroups — #11858192

Order 1152.

1553 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596695C211yesmaximal, characteristic
2#10594722C211yesmaximal, characteristic, complemented
3#10593965C211yesmaximal, characteristic, complemented
4#10592520C211yesmaximal, characteristic, complemented
5C3×#4821C211yesmaximal, characteristic, complemented
6C3×D3×#104C211yesmaximal, characteristic, complemented
7#10591671C211yesmaximal, characteristic, complemented
8#10591670C211yesmaximal, characteristic, complemented
9D3×#837C211yesmaximal, characteristic, complemented
10#10591008C211yesmaximal, characteristic, complemented
11#10591005C211yesmaximal, characteristic, complemented
12D3×#825C211yesmaximal, characteristic, complemented
13#10590394C211yesmaximal, characteristic, complemented
14#10590392C211yesmaximal, characteristic, complemented
15D3×#805C211yesmaximal, characteristic, complemented
16#78992—31nomaximal
17#78983—31nomaximal
18#41×C3⋊D3C2211yescharacteristic
19C3×D3×#41C2211yescharacteristic
20C3×D3×#41C2211yescharacteristic
21#64320C411yescharacteristic, complemented
22#64316C411yescharacteristic, complemented
23#64315C411yescharacteristic, complemented
24#64315C411yescharacteristic, complemented
25#64314—21no—
26#64314—21no—
27#64314C411yescharacteristic, complemented
28#64314C411yescharacteristic, complemented
29#64313—21no—
30#64313C411yescharacteristic, complemented
31#64309—21no—
32#64309C411yescharacteristic, complemented
33#64306—21no—
34#64306C2211yescharacteristic
35D3×#235—21no—
36D3×#235—21no—
37D3×#235C2211yescharacteristic
38D3×#235C2211yescharacteristic
39C2×#3798—21no—
40C2×#3798C2211yescharacteristic
41M16×C3⋊D3C2211yescharacteristic, complemented
42#64081C2211yescharacteristic, complemented
43C3×D3×M16C2211yescharacteristic, complemented
44C3×D3×M16C2211yescharacteristic, complemented
45C3×#872C2211yescharacteristic, complemented
46C3×C42×D3C2211yescharacteristic, complemented
47#63904—21no—
48C4×#624C2211yescharacteristic, complemented
49#63880—21no—
50#63879—21no—
51C4×D3×Dic3C2211yescharacteristic, complemented
52#63855C2211yescharacteristic, complemented
53#63837—21no—
54#63818C2211yescharacteristic, complemented
55D3×#208C2211yescharacteristic, complemented
56D3×#208C2211yescharacteristic, complemented
57#63805—21no—
58#63804—21no—
59#63804—21no—
60#63803—21no—
61C32×#104C2211yescharacteristic, complemented
62#63664C2211yescharacteristic, complemented
63#63652C2211yescharacteristic, complemented
64#63632C2211yescharacteristic, complemented
65C3×#837C2211yescharacteristic, complemented
66C3×#837C2211yescharacteristic, complemented
67C3×#825C2211yescharacteristic, complemented
68C3×#825C2211yescharacteristic, complemented
69C3×#805C2211yescharacteristic, complemented
70C3×#805C2211yescharacteristic, complemented
71#63570C2211yescharacteristic, complemented
72#63570C2211yescharacteristic, complemented
73#63569C2211yescharacteristic, complemented
74#63569C2211yescharacteristic, complemented
75#63568C2211yescharacteristic, complemented
76#63568C2211yescharacteristic, complemented
77#5964—31no—
78#5964—31no—
79#5745—31no—
80#5745—31no—
81#5522—31no—
82C4×#235—31no—
83C3×#421—31no—
84C2×C3×#104—31no—
85#5236—31no—
86C2×#837—31no—
87#5139—31no—
88C2×#825—31no—
89#5005—31no—
90C2×#805—31no—
91#4821—31no—
92#4821—31no—
93#4821—31no—
94#4821—31no—
95#4821—31no—
96#4821—31no—
97#4821—31no—
98#4821—61no—
99#4821D311yescharacteristic, complemented
100D3×#104—31no—
101D3×#104—31no—
102D3×#104—31no—
103D3×#104—31no—
104D3×#104—31no—
105D3×#104—31no—
106D3×#104—31no—
107D3×#104D311yescharacteristic, complemented
108C32×#41C2311yescharacteristic
109#3832C2×C411yescharacteristic, complemented
110Q8×C3⋊D3C2×C411yescharacteristic, complemented
111#3830—21no—
112#3830C2×C411yescharacteristic, complemented
113D4×C3⋊D3—21no—
114D4×C3⋊D3C2×C411yescharacteristic, complemented
115#3828—21no—
116#3828C2311yescharacteristic
117C2×C4×C3⋊D3—21no—
118C2×C4×C3⋊D3C2311yescharacteristic
119C3×#239C2×C411yescharacteristic, complemented
120C3×#239C2×C411yescharacteristic, complemented
121C3×D3×Q8C2×C411yescharacteristic, complemented
122C3×D3×Q8C2×C411yescharacteristic, complemented
123C3×#237—21no—
124C3×#237—21no—
125C3×#237C2×C411yescharacteristic, complemented
126C3×#237C2×C411yescharacteristic, complemented
127C3×D3×D4—21no—
128C3×D3×D4—21no—
129C3×D3×D4C2×C411yescharacteristic, complemented
130C3×D3×D4C2×C411yescharacteristic, complemented
131C3×#235—21no—
132C3×#235—21no—
133C3×#235C2311yescharacteristic
134C3×#235C2311yescharacteristic
135C2×C3×C4×D3—21no—
136C2×C3×C4×D3—21no—
137C2×C3×C4×D3—21no—
138C2×C3×C4×D3C2311yescharacteristic
139C2×C3×C4×D3C2311yescharacteristic
140#3811—21no—
141#3811—21no—
142#3811—21no—
143D3×#67—21no—
144D3×#67—21no—
145D3×#67—21no—
146D3×#67—21no—
147D3×#67—21no—
148D3×#67—21no—
149C2×#627—21no—
150C2×#627D411yescharacteristic
151C2×#626—21no—
152C2×#626—21no—
153C2×#626D411yescharacteristic
154C2×#626D411yescharacteristic
155C2×#625—21no—
156C2×#625D411yescharacteristic
157C2×#624—21no—
158#3805—21no—
159#3805—21no—
160#3805—21no—
161#3804—21no—
162#3804—21no—
163#3804—21no—
164#3804—21no—
165#3804—21no—
166#3804—21no—
167C2×D3×Dic3—21no—
168#3802—21no—
169#3802C2×C411yescharacteristic, complemented
170D3×D12—21no—
171D3×D12—21no—
172D3×D12C2×C411yescharacteristic, complemented
173D3×D12C2×C411yescharacteristic, complemented
174C4×D32—21no—
175C4×D32—21no—
176C4×D32—21no—
177#3799—21no—
178#3799—21no—
179#3799C2×C411yescharacteristic, complemented
180#3799C2×C411yescharacteristic, complemented
181#3798—21no—
182#3798—21no—
183#3798—21no—
184#3798—21no—
185#3798—21no—
186#3798—21no—
187#3798—21no—
188#3798C2×C411yescharacteristic
189#3798C2×C411yescharacteristic
190#3798C2×C411yescharacteristic
191#3798C2×C411yescharacteristic
192#3798D411yescharacteristic
193#3798D411yescharacteristic
194#3798D411yescharacteristic
195#3798D411yescharacteristic
196#3797—21no—
197#3797C2×C411yescharacteristic, complemented
198#3796—21no—
199#3796—21no—
200#3796C2×C411yescharacteristic, complemented
201#3796C2×C411yescharacteristic, complemented
202#3795—21no—
203#3795—21no—
204#3795C2×C411yescharacteristic, complemented
205#3795C2×C411yescharacteristic, complemented
206D3×Dic6—21no—
207D3×Dic6—21no—
208D3×Dic6C2×C411yescharacteristic, complemented
209D3×Dic6C2×C411yescharacteristic, complemented
210C32×M16C2311yescharacteristic
211C32×C42C2311yescharacteristic
212#3752—21no—
213#3750—21no—
214C4×C3⋊Dic3C2311yescharacteristic
215#3748C2311yescharacteristic
216#3743—21no—
217C8×C3⋊D3—21no—
218C3×(C2×D3)⋊C4—21no—
219C3×Dic3⋊C4—21no—
220C3×C4×Dic3—21no—
221C3×C4×Dic3C2311yescharacteristic
222C3×C4×Dic3C2311yescharacteristic
223C3×#208C2311yescharacteristic
224C3×#208C2311yescharacteristic
225C3×ΓL(1,𝔽25)—21no—
226C3×ΓL(1,𝔽25)—21no—
227C3×D3×C8—21no—
228C3×D3×C8—21no—
229Dic3⋊Dic3—21no—
230(C2×D3)⋊Dic3—21no—
231Dic32—21no—
232Dic32—21no—
233#3712—21no—
234#3711—21no—
235#3711—21no—
236#3710—21no—
237D3×C3⋊C8—21no—
238D3×C3⋊C8—21no—
239#2901—91noSylow
240C2×C3×#41—31no—
241C2×C3×#41—31no—
242#1010—31no—
243#1010—31no—
244#1010—31no—
245#1010—31no—
246#1010—61no—
247#1010—61no—
248#1009—31no—
249#1009—31no—
250#1009—31no—
251#1009—31no—
252#1009—61no—
253#1009—61no—
254D3×#41—31no—
255D3×#41—31no—
256D3×#41—31no—
257D3×#41—31no—
258D3×#41—31no—
259D3×#41—31no—
260D3×#41—61no—
261D3×#41—61no—
262D3×#41—61no—
263D3×#41—61no—
264D3×#41—61no—
265D3×#41C2×D311yescharacteristic
266D3×#41C2×D311yescharacteristic
267#1007—31no—
268#1007—31no—
269#1007—31no—
270#1007—31no—
271#1004—31no—
272#1004—31no—
273#1004—31no—
274#1004—31no—
275#1004—61no—
276#1004—61no—
277#1004—61no—
278#1004—61no—
279C2×#235—31no—
280C2×#235—31no—
281C2×#235—31no—
282C2×#235—31no—
283C2×#235—61no—
284C2×#235—61no—
285C2×#235—61no—
286C2×#235—61no—
287C2×C3×M16—31no—
288C2×C3×M16—31no—
289C3×#117—31no—
290C2×C3×C42—31no—
291C4×#67—61no—
292C4×#67—61no—
293#926—31no—
294C2×C4×Dic3—31no—
295C2×#208—31no—
296C2×#208—31no—
297#907—61no—
298#907—61no—
299#907—61no—
300#907—61no—
301D3×M16—31no—
302D3×M16—31no—
303D3×M16—31no—
304D3×M16—31no—
305D3×M16—31no—
306D3×M16—31no—
307D3×M16—61no—
308D3×M16C2×D311yescharacteristic, complemented
309D3×M16C2×D311yescharacteristic, complemented
310#901—61no—
311#901—61no—
312#901—61no—
313#901—61no—
314#893—61no—
315#887—61no—
316#67⋊C4—61no—
317#67⋊C4—61no—
318C4×D12—61no—
319#872—31no—
320#872—31no—
321#872—31no—
322#872—61no—
323#872C2×D311yescharacteristic, complemented
324C42×D3—31no—
325C42×D3—31no—
326C42×D3—31no—
327C42×D3C2×D311yescharacteristic, complemented
328C4×Dic6—61no—
329C3×#104—21no—
330C3×#104—31no—
331C3×#104—31no—
332C3×#104—31no—
333C3×#104—31no—
334C3×#104—31no—
335C3×#104—31no—
336C3×#104C2×D311yescharacteristic, complemented
337C3×#104C2×D311yescharacteristic, complemented
338#837—31no—
339#837—31no—
340#837—31no—
341#837—31no—
342#837—31no—
343#837—31no—
344#837—61no—
345#837C2×D311yescharacteristic, complemented
346#837C2×D311yescharacteristic, complemented
347#825—31no—
348#825—31no—
349#825—31no—
350#825—31no—
351#825—31no—
352#825—31no—
353#825—61no—
354#825C2×D311yescharacteristic, complemented
355#825C2×D311yescharacteristic, complemented
356#805—31no—
357#805—31no—
358#805—31no—
359#805—31no—
360#805—31no—
361#805—31no—
362#805—61no—
363#805C2×D311yescharacteristic, complemented
364#805C2×D311yescharacteristic, complemented
365C22×C3⋊D3—21no—
366C22×C3⋊D3C2×D411yescharacteristic
367C22×C3×D3—21no—
368C22×C3×D3—21no—
369C22×C3×D3C2×D411yescharacteristic
370C22×C3×D3C2×D411yescharacteristic
371C2×D32—21no—
372C2×D32—21no—
373C2×D32—21no—
374C32×Q8C22×C411yescharacteristic
375C32×D4—21no—
376C32×D4C22×C411yescharacteristic
377C2×C32×C4—21no—
378C2×C32×C4—21no—
379C2×C32×C4C2411yescharacteristic
380#638—21no—
381#638—21no—
382#638—21no—
383C2×C3⋊Dic3—21no—
384C2×C3⋊Dic3—21no—
385C2×C3⋊Dic3C2×D411yescharacteristic
386C4⋊(C3⋊D3)—21no—
387C4⋊(C3⋊D3)C22×C411yescharacteristic
388C4×C3⋊D3—21no—
389C4×C3⋊D3—21no—
390C4×C3⋊D3—21no—
391C4×C3⋊D3C22×C411yescharacteristic
392C4×C3⋊D3C22×C411yescharacteristic
393C4×C3⋊D3C2×D411yescharacteristic
394C4×C3⋊D3C2×D411yescharacteristic
395#634—21no—
396#634C22×C411yescharacteristic
397C3×#67—21no—
398C3×#67—21no—
399C3×#67—21no—
400C3×#67—21no—
401C3×#67—21no—
402C3×#67—21no—
403C2×C3×Dic3—21no—
404C2×C3×Dic3—21no—
405C2×C3×Dic3—21no—
406C2×C3×Dic3—21no—
407C2×C3×Dic3C2×D411yescharacteristic
408C2×C3×Dic3C2×D411yescharacteristic
409C3×D12—21no—
410C3×D12—21no—
411C3×D12C22×C411yescharacteristic
412C3×D12C22×C411yescharacteristic
413C3×C4×D3—21no—
414C3×C4×D3—21no—
415C3×C4×D3—21no—
416C3×C4×D3—21no—
417C3×C4×D3—21no—
418C3×C4×D3—21no—
419C3×C4×D3—42no—
420C3×C4×D3C22×C411yescharacteristic
421C3×C4×D3C22×C411yescharacteristic
422C3×C4×D3C22×C411yescharacteristic
423C3×C4×D3C22×C411yescharacteristic
424C3×C4×D3C2×D411yescharacteristic
425C3×C4×D3C2×D411yescharacteristic
426C3×C4×D3C2×D411yescharacteristic
427C3×C4×D3C2×D411yescharacteristic
428C3×Dic6—21no—
429C3×Dic6—21no—
430C3×Dic6C22×C411yescharacteristic
431C3×Dic6C22×C411yescharacteristic
432#627—21no—
433#627—21no—
434#627—21no—
435#627C22⋊C411yescharacteristic
436#627C22⋊C411yescharacteristic
437#627C22⋊C411yescharacteristic
438#627C22⋊C411yescharacteristic
439#626—21no—
440#626—21no—
441#626—21no—
442#626—21no—
443#626—21no—
444#626—21no—
445#626C22⋊C411yescharacteristic
446#626C22⋊C411yescharacteristic
447#626C22⋊C411yescharacteristic
448#626C22⋊C411yescharacteristic
449#626C22⋊C411yescharacteristic
450#626C22⋊C411yescharacteristic
451#626C22⋊C411yescharacteristic
452#626C22⋊C411yescharacteristic
453#625—21no—
454#625—21no—
455#625—21no—
456#625C22⋊C411yescharacteristic
457#625C22⋊C411yescharacteristic
458#625C22⋊C411yescharacteristic
459#625C22⋊C411yescharacteristic
460#624—21no—
461#624—21no—
462#624—21no—
463#624—42no—
464D3×Dic3—21no—
465D3×Dic3—21no—
466D3×Dic3—21no—
467D3×Dic3—21no—
468D3×Dic3—21no—
469D3×Dic3—21no—
470D3×Dic3—42no—
471C32×C8—21no—
472C3⋊(C3⋊C8)—21no—
473C3×C3⋊C8—21no—
474C3×C3⋊C8—21no—
475#585—91no—
476#568—91no—
477C4×#41—91no—
478#421—31no—
479#421—91no—
480#421—91no—
481#421—91no—
482#421—91no—
483#421—91no—
484C2×#104—31no—
485C2×#104—91no—
486C2×#104—91no—
487C2×#104—91no—
488C2×#104—91no—
489C2×#104—91no—
490C3×#41—21no—
491C3×#41—31no—
492C3×#41—31no—
493C3×#41—31no—
494C3×#41—31no—
495C3×#41—31no—
496C3×#41—31no—
497C3×#41—61no—
498C3×#41—61no—
499C3×#41—61no—
500C3×#41—61no—
501C3×#41C22×D311yescharacteristic
502C3×#41C22×D311yescharacteristic
503C2×C3×Q8—31no—
504C2×C3×Q8—31no—
505C2×C3×D4—31no—
506C2×C3×D4—31no—
507C2×C3×D4—61no—
508C2×C3×D4—61no—
509C22×C3×C4—31no—
510C22×C3×C4—31no—
511C22×C3×C4—61no—
512C22×C3×C4—61no—
513C22×C3×C4—61no—
514C2×#67—31no—
515C2×#67—31no—
516C2×#67—31no—
517C2×#67—31no—
518C2×#67—61no—
519C2×#67—61no—
520C2×#67—61no—
521C2×#67—61no—
522C2×#67—61no—
523C2×#67—61no—
524C2×#67—61no—
525C2×#67—61no—
526C2×#67—61no—
527C2×#67—61no—
528C22×Dic3—61no—
529#239—31no—
530#239—31no—
531#239—31no—
532#239—31no—
533#239—31no—
534#239—31no—
535#239—61no—
536#239—61no—
537#239—61no—
538#239—61no—
539#239—61no—
540#239C4×D311yescharacteristic, complemented
541#239C4×D311yescharacteristic, complemented
542D3×Q8—31no—
543D3×Q8—31no—
544D3×Q8—31no—
545D3×Q8—31no—
546D3×Q8—31no—
547D3×Q8—31no—
548D3×Q8—61no—
549D3×Q8—61no—
550D3×Q8—61no—
551D3×Q8—61no—
552D3×Q8—61no—
553D3×Q8C4×D311yescharacteristic, complemented
554D3×Q8C4×D311yescharacteristic, complemented
555#237—21no—
556#237—21no—
557#237—31no—
558#237—31no—
559#237—31no—
560#237—31no—
561#237—31no—
562#237—31no—
563#237—61no—
564#237—61no—
565#237—61no—
566#237—61no—
567#237—61no—
568#237—61no—
569#237—61no—
570#237—61no—
571#237—61no—
572#237—61no—
573#237—61no—
574#237—61no—
575#237—61no—
576#237—61no—
577#237—61no—
578#237—61no—
579#237—61no—
580#237—61no—
581#237—61no—
582#237—121no—
583#237C4×D311yescharacteristic, complemented
584#237C4×D311yescharacteristic, complemented
585D3×D4—21no—
586D3×D4—21no—
587D3×D4—31no—
588D3×D4—31no—
589D3×D4—31no—
590D3×D4—31no—
591D3×D4—31no—
592D3×D4—31no—
593D3×D4—61no—
594D3×D4—61no—
595D3×D4—61no—
596D3×D4—61no—
597D3×D4—61no—
598D3×D4—61no—
599D3×D4—61no—
600D3×D4—61no—
601D3×D4—61no—
602D3×D4—61no—
603D3×D4—61no—
604D3×D4—61no—
605D3×D4—61no—
606D3×D4—61no—
607D3×D4—61no—
608D3×D4—61no—
609D3×D4—61no—
610D3×D4—61no—
611D3×D4—61no—
612D3×D4—121no—
613D3×D4C4×D311yescharacteristic, complemented
614D3×D4C4×D311yescharacteristic, complemented
615#235—21no—
616#235—21no—
617#235—31no—
618#235—31no—
619#235—31no—
620#235—31no—
621#235—31no—
622#235—31no—
623#235—31no—
624#235—31no—
625#235—31no—
626#235—31no—
627#235—31no—
628#235—31no—
629#235—31no—
630#235—31no—
631#235—31no—
632#235—31no—
633#235—31no—
634#235—31no—
635#235—31no—
636#235—31no—
637#235—31no—
638#235—31no—
639#235—61no—
640#235—61no—
641#235—61no—
642#235—61no—
643#235—61no—
644#235—61no—
645#235—61no—
646#235—61no—
647#235—61no—
648#235—61no—
649#235—61no—
650#235—61no—
651#235—61no—
652#235—61no—
653#235—61no—
654#235—61no—
655#235—61no—
656#235—61no—
657#235—61no—
658#235—61no—
659#235—61no—
660#235—61no—
661#235—61no—
662#235—61no—
663#235—61no—
664#235—61no—
665#235—61no—
666#235—121no—
667#235C22×D311yescharacteristic
668#235C22×D311yescharacteristic
669C2×D12—31no—
670C2×D12—31no—
671C2×D12—31no—
672C2×D12—31no—
673C2×D12—61no—
674C2×D12—61no—
675C2×D12—61no—
676C2×D12—61no—
677C2×C4×D3—21no—
678C2×C4×D3—21no—
679C2×C4×D3—21no—
680C2×C4×D3—31no—
681C2×C4×D3—31no—
682C2×C4×D3—61no—
683C2×C4×D3—61no—
684C2×C4×D3—61no—
685C2×C4×D3—61no—
686C2×C4×D3—61no—
687C2×C4×D3—61no—
688C2×C4×D3—61no—
689C2×C4×D3—61no—
690C2×C4×D3—61no—
691C2×C4×D3—61no—
692C2×C4×D3—61no—
693C2×C4×D3—61no—
694C2×C4×D3—121no—
695C2×C4×D3C22×D311yescharacteristic
696C2×C4×D3C22×D311yescharacteristic
697C2×Dic6—31no—
698C2×Dic6—31no—
699C2×Dic6—31no—
700C2×Dic6—31no—
701C2×Dic6—61no—
702C2×Dic6—61no—
703C2×Dic6—61no—
704C2×Dic6—61no—
705C3×M16—21no—
706C3×M16—31no—
707C3×M16—31no—
708C3×M16—61no—
709C3×M16—61no—
710C3×M16C22×D311yescharacteristic
711C3×M16C22×D311yescharacteristic
712C2×C3×C8—61no—
713C2×C3×C8—61no—
714C3×C4⋊C4—61no—
715C3×C22⋊C4—61no—
716C3×C42—21no—
717C3×C42—31no—
718C3×C42—31no—
719C3×C42—61no—
720C3×C42C22×D311yescharacteristic
721C3×C42C22×D311yescharacteristic
722#217—61no—
723(C2×D3)⋊C4—21no—
724(C2×D3)⋊C4—61no—
725(C2×D3)⋊C4—61no—
726(C2×D3)⋊C4—61no—
727(C2×D3)⋊C4—121no—
728C4⋊Dic3—61no—
729Dic3⋊C4—21no—
730Dic3⋊C4—61no—
731Dic3⋊C4—61no—
732Dic3⋊C4—61no—
733Dic3⋊C4—121no—
734C4×Dic3—21no—
735C4×Dic3—31no—
736C4×Dic3—31no—
737C4×Dic3—61no—
738C4×Dic3—61no—
739C4×Dic3—61no—
740C4×Dic3—61no—
741C4×Dic3—61no—
742C4×Dic3C22×D311yescharacteristic
743C4×Dic3C22×D311yescharacteristic
744#208—31no—
745#208—31no—
746#208—61no—
747#208—61no—
748#208—61no—
749#208C22×D311yescharacteristic
750#208C22×D311yescharacteristic
751C2×C3⋊C8—61no—
752C2×C3⋊C8—61no—
753ΓL(1,𝔽25)—21no—
754ΓL(1,𝔽25)—21no—
755ΓL(1,𝔽25)—61no—
756ΓL(1,𝔽25)—61no—
757ΓL(1,𝔽25)—61no—
758ΓL(1,𝔽25)—61no—
759ΓL(1,𝔽25)—61no—
760ΓL(1,𝔽25)—61no—
761ΓL(1,𝔽25)—121no—
762D3×C8—21no—
763D3×C8—21no—
764D3×C8—61no—
765D3×C8—61no—
766D3×C8—61no—
767D3×C8—61no—
768D3×C8—61no—
769D3×C8—61no—
770D3×C8—121no—
771C22×C32—21no—
772C22×C32C22×D411yescharacteristic
773C2×C3⋊D3—21no—
774C2×C3⋊D3—41no—
775C2×C3⋊D3—81no—
776C2×C3⋊D3C2×C22⋊C411yescharacteristic
777C2×C3⋊D3C2×C22⋊C411yescharacteristic
778C2×C3×D3—21no—
779C2×C3×D3—21no—
780C2×C3×D3—41no—
781C2×C3×D3—41no—
782C2×C3×D3—81no—
783C2×C3×D3—81no—
784C2×C3×D3C2×C22⋊C411yescharacteristic
785C2×C3×D3C2×C22⋊C411yescharacteristic
786C2×C3×D3C2×C22⋊C411yescharacteristic
787C2×C3×D3C2×C22⋊C411yescharacteristic
788D32—81no—
789D32—81no—
790D32—81no—
791C32×C4—21no—
792C32×C4—41no—
793C32×C4C23×C411yescharacteristic
794C32×C4C22×D411yescharacteristic
795C3⋊Dic3—21no—
796C3⋊Dic3—41no—
797C3⋊Dic3C2×C22⋊C411yescharacteristic
798C3⋊Dic3C2×C22⋊C411yescharacteristic
799C3×Dic3—22no—
800C3×Dic3—21no—
801C3×Dic3—21no—
802C3×Dic3—41no—
803C3×Dic3C2×C22⋊C411yescharacteristic
804C3×Dic3C2×C22⋊C411yescharacteristic
805C3×Dic3C2×C22⋊C411yescharacteristic
806C3×Dic3C2×C22⋊C411yescharacteristic
8072−1+4—91no—
8082−1+4—91no—
8092−1+4—91no—
8102−1+4—91no—
8112−1+4—181no—
812H(5,𝔽2)—91no—
813H(5,𝔽2)—91no—
814H(5,𝔽2)—91no—
815H(5,𝔽2)—91no—
816H(5,𝔽2)—181no—
817H(5,𝔽2)—181no—
818H(5,𝔽2)—181no—
819C2×#41—31no—
820C2×#41—31no—
821C2×#41—91no—
822C2×#41—91no—
823C2×#41—91no—
824C2×#41—91no—
825C2×#41—91no—
826C2×#41—181no—
827C2×#41—181no—
828C2×#41—181no—
829C2×#41—181no—
830#131—181no—
831#131—181no—
832#131—181no—
833#131—181no—
834C2×M16—31no—
835C2×M16—31no—
836C2×M16—91no—
837C2×M16—91no—
838C2×M16—91no—
839C2×M16—91no—
840C4×Q8—181no—
841C4×D4—181no—
842C4×D4—181no—
843C4×D4—181no—
844#117—31no—
845#117—91no—
846#117—91no—
847C2×C42—31no—
848C2×C42—91no—
849C2×C42—91no—
850#104—31no—
851#104—31no—
852#104—31no—
853#104—31no—
854#104—31no—
855#104—31no—
856#104—91no—
857#104—91no—
858#104—91no—
859#104—91no—
860#104—91no—
861#104—91no—
862#104—91no—
863#104—91no—
864#104—91no—
865#104D3211yescharacteristic, complemented
866C23×C3—31no—
867C23×C3—31no—
868C23×C3—61no—
869C23×C3—61no—
870C22×D3—21no—
871C22×D3—21no—
872C22×D3—31no—
873C22×D3—31no—
874C22×D3—61no—
875C22×D3—61no—
876C22×D3—61no—
877C22×D3—61no—
878C22×D3—61no—
879C22×D3—61no—
880C22×D3—61no—
881C22×D3—61no—
882C22×D3—61no—
883C22×D3—121no—
884C22×D3D3×D411yescharacteristic
885C22×D3D3×D411yescharacteristic
886C3×Q8—21no—
887C3×Q8—31no—
888C3×Q8—31no—
889C3×Q8—61no—
890C3×Q8—61no—
891C3×Q8C2×C4×D311yescharacteristic
892C3×Q8C2×C4×D311yescharacteristic
893C3×D4—21no—
894C3×D4—21no—
895C3×D4—21no—
896C3×D4—31no—
897C3×D4—31no—
898C3×D4—41no—
899C3×D4—61no—
900C3×D4—61no—
901C3×D4—61no—
902C3×D4—61no—
903C3×D4—61no—
904C3×D4—61no—
905C3×D4—61no—
906C3×D4—61no—
907C3×D4C2×C4×D311yescharacteristic
908C3×D4C2×C4×D311yescharacteristic
909C2×C3×C4—21no—
910C2×C3×C4—21no—
911C2×C3×C4—21no—
912C2×C3×C4—21no—
913C2×C3×C4—21no—
914C2×C3×C4—31no—
915C2×C3×C4—31no—
916C2×C3×C4—31no—
917C2×C3×C4—31no—
918C2×C3×C4—31no—
919C2×C3×C4—31no—
920C2×C3×C4—31no—
921C2×C3×C4—31no—
922C2×C3×C4—31no—
923C2×C3×C4—31no—
924C2×C3×C4—41no—
925C2×C3×C4—41no—
926C2×C3×C4—61no—
927C2×C3×C4—61no—
928C2×C3×C4—61no—
929C2×C3×C4—61no—
930C2×C3×C4—61no—
931C2×C3×C4—61no—
932C2×C3×C4—61no—
933C2×C3×C4—61no—
934C2×C3×C4—61no—
935C2×C3×C4—61no—
936C2×C3×C4—122no—
937C2×C3×C4C23×D311yescharacteristic
938C2×C3×C4C23×D311yescharacteristic
939#67—21no—
940#67—21no—
941#67—21no—
942#67—21no—
943#67—21no—
944#67—21no—
945#67—31no—
946#67—31no—
947#67—31no—
948#67—31no—
949#67—31no—
950#67—31no—
951#67—31no—
952#67—31no—
953#67—31no—
954#67—31no—
955#67—31no—
956#67—31no—
957#67—31no—
958#67—31no—
959#67—31no—
960#67—31no—
961#67—61no—
962#67—61no—
963#67—61no—
964#67—61no—
965#67—61no—
966#67—61no—
967#67—61no—
968#67—61no—
969#67—61no—
970#67—61no—
971#67—61no—
972#67—61no—
973#67—61no—
974#67—61no—
975#67—61no—
976#67—61no—
977#67—61no—
978#67—61no—
979#67—121no—
980#67—121no—
981#67—121no—
982C2×Dic3—21no—
983C2×Dic3—21no—
984C2×Dic3—21no—
985C2×Dic3—21no—
986C2×Dic3—31no—
987C2×Dic3—31no—
988C2×Dic3—61no—
989C2×Dic3—61no—
990C2×Dic3—61no—
991C2×Dic3—61no—
992C2×Dic3—61no—
993C2×Dic3—61no—
994C2×Dic3—61no—
995C2×Dic3—61no—
996C2×Dic3—61no—
997C2×Dic3—61no—
998C2×Dic3—61no—
999C2×Dic3—121no—
1000C2×Dic3—121no—
1001C2×Dic3—122no—
1002C2×Dic3D3×D411yescharacteristic
1003C2×Dic3D3×D411yescharacteristic
1004D12—21no—
1005D12—21no—
1006D12—31no—
1007D12—31no—
1008D12—31no—
1009D12—31no—
1010D12—31no—
1011D12—31no—
1012D12—31no—
1013D12—31no—
1014D12—31no—
1015D12—31no—
1016D12—61no—
1017D12—61no—
1018D12—61no—
1019D12—61no—
1020D12—61no—
1021D12—61no—
1022D12—61no—
1023D12—61no—
1024D12—61no—
1025D12—121no—
1026D12C2×C4×D311yescharacteristic
1027D12C2×C4×D311yescharacteristic
1028C4×D3—21no—
1029C4×D3—21no—
1030C4×D3—21no—
1031C4×D3—21no—
1032C4×D3—21no—
1033C4×D3—21no—
1034C4×D3—31no—
1035C4×D3—31no—
1036C4×D3—31no—
1037C4×D3—31no—
1038C4×D3—31no—
1039C4×D3—31no—
1040C4×D3—31no—
1041C4×D3—31no—
1042C4×D3—42no—
1043C4×D3—61no—
1044C4×D3—61no—
1045C4×D3—61no—
1046C4×D3—61no—
1047C4×D3—61no—
1048C4×D3—61no—
1049C4×D3—61no—
1050C4×D3—61no—
1051C4×D3—61no—
1052C4×D3—61no—
1053C4×D3—61no—
1054C4×D3—61no—
1055C4×D3—61no—
1056C4×D3—61no—
1057C4×D3—61no—
1058C4×D3—61no—
1059C4×D3—61no—
1060C4×D3—61no—
1061C4×D3—61no—
1062C4×D3—61no—
1063C4×D3—61no—
1064C4×D3—61no—
1065C4×D3—121no—
1066C4×D3—121no—
1067C4×D3—121no—
1068C4×D3—122no—
1069C4×D3—122no—
1070C4×D3—122no—
1071C4×D3C2×C4×D311yescharacteristic
1072C4×D3C2×C4×D311yescharacteristic
1073C4×D3C2×C4×D311yescharacteristic
1074C4×D3C2×C4×D311yescharacteristic
1075C4×D3D3×D411yescharacteristic
1076C4×D3D3×D411yescharacteristic
1077C4×D3D3×D411yescharacteristic
1078C4×D3D3×D411yescharacteristic
1079Dic6—21no—
1080Dic6—21no—
1081Dic6—31no—
1082Dic6—31no—
1083Dic6—31no—
1084Dic6—31no—
1085Dic6—31no—
1086Dic6—31no—
1087Dic6—31no—
1088Dic6—31no—
1089Dic6—31no—
1090Dic6—31no—
1091Dic6—61no—
1092Dic6—61no—
1093Dic6—61no—
1094Dic6—61no—
1095Dic6—61no—
1096Dic6—61no—
1097Dic6—61no—
1098Dic6—61no—
1099Dic6—61no—
1100Dic6—121no—
1101Dic6C2×C4×D311yescharacteristic
1102Dic6C2×C4×D311yescharacteristic
1103C3×C8—21no—
1104C3×C8—21no—
1105C3×C8—41no—
1106C3×C8—61no—
1107C3×C8—61no—
1108C3⋊C8—21no—
1109C3⋊C8—21no—
1110C3⋊C8—61no—
1111C3⋊C8—61no—
1112C3⋊C8—121no—
1113C2×C32—21no—
1114C2×C32—41no—
1115C2×C32C22×C22⋊C411yescharacteristic
1116C3⋊D3—21no—
1117C3⋊D3—21no—
1118C3⋊D3—41no—
1119C3×D3—21no—
1120C3×D3—21no—
1121C3×D3—21no—
1122C3×D3—21no—
1123C3×D3—41no—
1124C3×D3—41no—
1125#41—31no—
1126#41—31no—
1127#41—31no—
1128#41—31no—
1129#41—31no—
1130#41—31no—
1131#41—61no—
1132#41—61no—
1133#41—61no—
1134#41—61no—
1135#41—91no—
1136#41—91no—
1137#41—91no—
1138#41—91no—
1139#41—91no—
1140#41—91no—
1141#41—91no—
1142#41—91no—
1143#41—91no—
1144#41—91no—
1145#41—91no—
1146#41—91no—
1147#41—91no—
1148#41—91no—
1149#41—91no—
1150#41—91no—
1151#41—91no—
1152#41—181no—
1153#41—181no—
1154#41—181no—
1155#41—181no—
1156#41—181no—
1157#41—181no—
1158#41—181no—
1159#41—181no—
1160#41—181no—
1161#41—181no—
1162#41—181no—
1163#41—181no—
1164#41—181no—
1165#41—181no—
1166#41—181no—
1167#41—181no—
1168#41—181no—
1169#41—181no—
1170#41—181no—
1171#41—181no—
1172#41—181no—
1173#41—181no—
1174#41—181no—
1175#41—181no—
1176#41C2×D3211yescharacteristic
1177C2×Q8—31no—
1178C2×Q8—31no—
1179C2×Q8—91no—
1180C2×Q8—91no—
1181C2×Q8—91no—
1182C2×Q8—91no—
1183C2×Q8—91no—
1184C2×Q8—181no—
1185C2×Q8—181no—
1186C2×Q8—181no—
1187C2×Q8—181no—
1188C2×D4—31no—
1189C2×D4—31no—
1190C2×D4—61no—
1191C2×D4—61no—
1192C2×D4—91no—
1193C2×D4—91no—
1194C2×D4—91no—
1195C2×D4—91no—
1196C2×D4—91no—
1197C2×D4—91no—
1198C2×D4—91no—
1199C2×D4—181no—
1200C2×D4—181no—
1201C2×D4—181no—
1202C2×D4—181no—
1203C2×D4—181no—
1204C2×D4—181no—
1205C2×D4—181no—
1206C2×D4—181no—
1207C2×D4—181no—
1208C2×D4—181no—
1209C2×D4—181no—
1210C2×D4—181no—
1211C2×D4—181no—
1212C2×D4—181no—
1213C2×D4—181no—
1214C2×D4—181no—
1215C22×C4—31no—
1216C22×C4—31no—
1217C22×C4—61no—
1218C22×C4—61no—
1219C22×C4—61no—
1220C22×C4—91no—
1221C22×C4—181no—
1222C22×C4—181no—
1223C22×C4—181no—
1224C22×C4—181no—
1225C22×C4—181no—
1226C22×C4—181no—
1227M16—31no—
1228M16—31no—
1229M16—61no—
1230M16—61no—
1231M16—91no—
1232M16—181no—
1233M16—181no—
1234M16—181no—
1235M16—181no—
1236M16C2×D3211yescharacteristic
1237C2×C8—61no—
1238C2×C8—61no—
1239C2×C8—181no—
1240C2×C8—181no—
1241C2×C8—181no—
1242C2×C8—181no—
1243C4⋊C4—61no—
1244C4⋊C4—181no—
1245C4⋊C4—181no—
1246C22⋊C4—61no—
1247C22⋊C4—181no—
1248C22⋊C4—181no—
1249C42—31no—
1250C42—31no—
1251C42—61no—
1252C42—91no—
1253C42—181no—
1254C42—181no—
1255C42C2×D3211yescharacteristic
1256C22×C3—21no—
1257C22×C3—21no—
1258C22×C3—21no—
1259C22×C3—31no—
1260C22×C3—31no—
1261C22×C3—31no—
1262C22×C3—31no—
1263C22×C3—41no—
1264C22×C3—61no—
1265C22×C3—61no—
1266C22×C3—121no—
1267C22×C3—121no—
1268C22×C3—241no—
1269C22×C3—241no—
1270C22×C3C2×D3×D411yescharacteristic
1271C22×C3C2×D3×D411yescharacteristic
1272C2×D3—21no—
1273C2×D3—21no—
1274C2×D3—31no—
1275C2×D3—31no—
1276C2×D3—31no—
1277C2×D3—31no—
1278C2×D3—41no—
1279C2×D3—41no—
1280C2×D3—61no—
1281C2×D3—61no—
1282C2×D3—61no—
1283C2×D3—61no—
1284C2×D3—81no—
1285C2×D3—81no—
1286C2×D3—121no—
1287C2×D3—121no—
1288C2×D3—121no—
1289C2×D3—241no—
1290C2×D3—241no—
1291C2×D3—241no—
1292C2×D3—241no—
1293C2×D3—241no—
1294C2×D3—241no—
1295C2×D3—241no—
1296C2×D3—241no—
1297C2×D3—241no—
1298C2×D3—242no—
1299C2×D3D3×C22⋊C411yescharacteristic
1300C2×D3D3×C22⋊C411yescharacteristic
1301C2×D3D3×C22⋊C411yescharacteristic
1302C2×D3D3×C22⋊C411yescharacteristic
1303C3×C4—21no—
1304C3×C4—21no—
1305C3×C4—21no—
1306C3×C4—21no—
1307C3×C4—31no—
1308C3×C4—31no—
1309C3×C4—31no—
1310C3×C4—31no—
1311C3×C4—41no—
1312C3×C4—41no—
1313C3×C4—41no—
1314C3×C4—62no—
1315C3×C4—61no—
1316C3×C4—61no—
1317C3×C4—81no—
1318C3×C4—121no—
1319C3×C4C22×C4×D311yescharacteristic
1320C3×C4C22×C4×D311yescharacteristic
1321C3×C4C2×D3×D411yescharacteristic
1322C3×C4C2×D3×D411yescharacteristic
1323Dic3—22no—
1324Dic3—21no—
1325Dic3—21no—
1326Dic3—31no—
1327Dic3—31no—
1328Dic3—31no—
1329Dic3—31no—
1330Dic3—41no—
1331Dic3—61no—
1332Dic3—61no—
1333Dic3—61no—
1334Dic3—61no—
1335Dic3—121no—
1336Dic3—121no—
1337Dic3—121no—
1338Dic3—241no—
1339Dic3D3×C22⋊C411yescharacteristic
1340Dic3D3×C22⋊C411yescharacteristic
1341Dic3D3×C22⋊C411yescharacteristic
1342Dic3D3×C22⋊C411yescharacteristic
1343C32#290111yescharacteristic, complemented, Sylow
1344C23—31no—
1345C23—31no—
1346C23—61no—
1347C23—61no—
1348C23—91no—
1349C23—181no—
1350C23—181no—
1351C23—181no—
1352C23—181no—
1353Q8—31no—
1354Q8—31no—
1355Q8—61no—
1356Q8—61no—
1357Q8—91no—
1358Q8—91no—
1359Q8—91no—
1360Q8—91no—
1361Q8—91no—
1362Q8—181no—
1363Q8—181no—
1364Q8—181no—
1365Q8—181no—
1366Q8C4×D3211yescharacteristic
1367D4—21no—
1368D4—31no—
1369D4—31no—
1370D4—61no—
1371D4—61no—
1372D4—61no—
1373D4—61no—
1374D4—61no—
1375D4—61no—
1376D4—61no—
1377D4—61no—
1378D4—91no—
1379D4—91no—
1380D4—91no—
1381D4—91no—
1382D4—91no—
1383D4—91no—
1384D4—91no—
1385D4—91no—
1386D4—91no—
1387D4—91no—
1388D4—91no—
1389D4—91no—
1390D4—91no—
1391D4—181no—
1392D4—181no—
1393D4—181no—
1394D4—181no—
1395D4—181no—
1396D4—181no—
1397D4—181no—
1398D4—181no—
1399D4—181no—
1400D4—181no—
1401D4—181no—
1402D4—181no—
1403D4—181no—
1404D4C4×D3211yescharacteristic
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—31no—
1408C2×C4—31no—
1409C2×C4—31no—
1410C2×C4—31no—
1411C2×C4—31no—
1412C2×C4—31no—
1413C2×C4—31no—
1414C2×C4—31no—
1415C2×C4—31no—
1416C2×C4—31no—
1417C2×C4—61no—
1418C2×C4—61no—
1419C2×C4—61no—
1420C2×C4—61no—
1421C2×C4—61no—
1422C2×C4—61no—
1423C2×C4—61no—
1424C2×C4—61no—
1425C2×C4—61no—
1426C2×C4—61no—
1427C2×C4—91no—
1428C2×C4—91no—
1429C2×C4—91no—
1430C2×C4—91no—
1431C2×C4—91no—
1432C2×C4—122no—
1433C2×C4—181no—
1434C2×C4—181no—
1435C2×C4—181no—
1436C2×C4—181no—
1437C2×C4—181no—
1438C2×C4—181no—
1439C2×C4—181no—
1440C2×C4—181no—
1441C2×C4—181no—
1442C2×C4—181no—
1443C2×C4—181no—
1444C2×C4—181no—
1445C2×C4—181no—
1446C2×C4—181no—
1447C2×C4—362no—
1448C2×C4—362no—
1449C2×C4C22×D3211yescharacteristic
1450C8—21no—
1451C8—61no—
1452C8—61no—
1453C8—181no—
1454C2×C3—21no—
1455C2×C3—21no—
1456C2×C3—21no—
1457C2×C3—41no—
1458C2×C3—41no—
1459C2×C3—41no—
1460C2×C3—61no—
1461C2×C3—61no—
1462C2×C3—61no—
1463C2×C3—61no—
1464C2×C3—81no—
1465C2×C3—121no—
1466C2×C3—121no—
1467C2×C3C2×D3×C22⋊C411yescharacteristic
1468C2×C3C2×D3×C22⋊C411yescharacteristic
1469D3—21no—
1470D3—21no—
1471D3—21no—
1472D3—21no—
1473D3—41no—
1474D3—41no—
1475D3—61no—
1476D3—61no—
1477D3—61no—
1478D3—61no—
1479D3—121no—
1480D3—121no—
1481D3—121no—
1482D3—121no—
1483D3—241no—
1484C22—21no—
1485C22—31no—
1486C22—31no—
1487C22—31no—
1488C22—31no—
1489C22—61no—
1490C22—61no—
1491C22—91no—
1492C22—91no—
1493C22—121no—
1494C22—121no—
1495C22—181no—
1496C22—241no—
1497C22—241no—
1498C22—361no—
1499C22—721no—
1500C22—721no—
1501C22—721no—
1502C22—721no—
1503C22D32×D411yescharacteristic
1504C4—21no—
1505C4—31no—
1506C4—31no—
1507C4—31no—
1508C4—31no—
1509C4—41no—
1510C4—62no—
1511C4—61no—
1512C4—61no—
1513C4—91no—
1514C4—91no—
1515C4—121no—
1516C4—181no—
1517C4—361no—
1518C4C2×C4×D3211yescharacteristic
1519C4D32×D411yescharacteristic
1520C3—21no—
1521C3#7898311yescharacteristic, complemented
1522C3#7899211yescharacteristic, complemented
1523C2—21no—
1524C2—41no—
1525C2—61no—
1526C2—61no—
1527C2—61no—
1528C2—61no—
1529C2—121no—
1530C2—121no—
1531C2—181no—
1532C2—181no—
1533C2—361no—
1534C2D32×C22⋊C411yescharacteristic
subgroupG/H
centerC4D32×D4
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC32×#104C22
socleC2×C32C22×C22⋊C4
prime radical#10596695C2
cosocleC2×C32×C4C24
hypercenter#104D32
hypocenterC32#2901
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C4 ◁ C2×C4 ◁ #104

Complements

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

NH ≅ G/Ntype
2. #10594722C2semidirect
3. #10593965C2semidirect
4. #10592520C2semidirect
5. C3×#4821C2semidirect
6. C3×D3×#104C2semidirect
7. #10591671C2semidirect
8. #10591670C2semidirect
9. D3×#837C2semidirect
10. #10591008C2semidirect
11. #10591005C2semidirect
12. D3×#825C2semidirect
13. #10590394C2semidirect
14. #10590392C2semidirect
15. D3×#805C2semidirect
21. #64320C4semidirect
22. #64316C4semidirect
23. #64315C4semidirect
24. #64315C4semidirect
27. #64314C4semidirect
28. #64314C4semidirect
30. #64313C4semidirect
32. #64309C4semidirect
41. M16×C3⋊D3C22semidirect
42. #64081C22semidirect
43. C3×D3×M16C22semidirect
44. C3×D3×M16C22semidirect
45. C3×#872C22semidirect
46. C3×C42×D3C22semidirect
48. C4×#624C22semidirect
51. C4×D3×Dic3C22semidirect
52. #63855C22semidirect
54. #63818C22semidirect
55. D3×#208C22semidirect
56. D3×#208C22semidirect
61. C32×#104C22semidirect
62. #63664C22semidirect
63. #63652C22semidirect
64. #63632C22semidirect
65. C3×#837C22semidirect
66. C3×#837C22semidirect
67. C3×#825C22semidirect
68. C3×#825C22semidirect
69. C3×#805C22semidirect
70. C3×#805C22semidirect
71. #63570C22semidirect
72. #63570C22semidirect
73. #63569C22semidirect
74. #63569C22semidirect
75. #63568C22semidirect
76. #63568C22semidirect
99. #4821D3semidirect
107. D3×#104D3semidirect
109. #3832C2×C4semidirect
110. Q8×C3⋊D3C2×C4semidirect
112. #3830C2×C4semidirect
114. D4×C3⋊D3C2×C4semidirect
119. C3×#239C2×C4semidirect
120. C3×#239C2×C4semidirect
121. C3×D3×Q8C2×C4semidirect
122. C3×D3×Q8C2×C4semidirect
125. C3×#237C2×C4semidirect
126. C3×#237C2×C4semidirect
129. C3×D3×D4C2×C4semidirect
130. C3×D3×D4C2×C4semidirect
169. #3802C2×C4semidirect
172. D3×D12C2×C4semidirect
173. D3×D12C2×C4semidirect
179. #3799C2×C4semidirect
180. #3799C2×C4semidirect
197. #3797C2×C4semidirect
200. #3796C2×C4semidirect
201. #3796C2×C4semidirect
204. #3795C2×C4semidirect
205. #3795C2×C4semidirect
208. D3×Dic6C2×C4semidirect
209. D3×Dic6C2×C4semidirect
308. D3×M16C2×D3semidirect
309. D3×M16C2×D3semidirect
323. #872C2×D3semidirect
327. C42×D3C2×D3semidirect
336. C3×#104C2×D3semidirect
337. C3×#104C2×D3semidirect
345. #837C2×D3semidirect
346. #837C2×D3semidirect
354. #825C2×D3semidirect
355. #825C2×D3semidirect
363. #805C2×D3semidirect
364. #805C2×D3semidirect
540. #239C4×D3semidirect
541. #239C4×D3semidirect
553. D3×Q8C4×D3semidirect
554. D3×Q8C4×D3semidirect
583. #237C4×D3semidirect
584. #237C4×D3semidirect
613. D3×D4C4×D3semidirect
614. D3×D4C4×D3semidirect
865. #104D32semidirect
1343. C32#2901semidirect
1521. C3#78983semidirect
1522. C3#78992semidirect

Maximal subgroups

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

subgroupindex
#105966952
#105947222
#105939652
#105925202
C3×#48212
C3×D3×#1042
#105916712
#105916702
D3×#8372
#105910082
#105910052
D3×#8252
#105903942
#105903922
D3×#8052
#789923
#789833