Finite Group Databasebeta

← #11904645

Subgroups — #11904645

Order 1152.

3481 conjugacy classes of subgroups.

The subgroup lattice has 1526 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64313C211yesmaximal, characteristic, complemented
2C2×#64306C211yesmaximal, characteristic, complemented
3#10596127C211yesmaximal, characteristic, complemented
4C3×#5654C212yesmaximal, complemented
5#10595291C212yesmaximal, complemented
6#10595166C211yesmaximal, characteristic, complemented
7#10595065C212yesmaximal, complemented
8C2×#63912C211yesmaximal, characteristic, complemented
9#10594618C211yesmaximal, characteristic, complemented
10#10594616C211yesmaximal, characteristic, complemented
11#10594614C212yesmaximal, complemented
12#10594521C211yesmaximal, characteristic, complemented
13#10594520C211yesmaximal, characteristic, complemented
14#10594368C212yesmaximal, complemented
15#10594277C212yesmaximal, complemented
16#10594271C211yesmaximal, characteristic, complemented
17#10594270C212yesmaximal, complemented
18D3×#884C212yesmaximal, complemented
19#10594192C211yesmaximal, characteristic, complemented
20#10594191C211yesmaximal, characteristic, complemented
21#10594190C211yesmaximal, characteristic, complemented
22#10594183C211yesmaximal, characteristic, complemented
23#10594051C211yesmaximal, characteristic, complemented
24#86629—32nomaximal
25C2×#3830C2211yescharacteristic, complemented
26C22×C4×C3⋊D3C2211yescharacteristic, complemented
27C2×C3×D3×D4C2212yescomplemented
28C2×C3×#235C2212yescomplemented
29C2×#3811C2212yescomplemented
30C2×D3×#67C2212yescomplemented
31C2×D3×#67C2212yescomplemented
32C2×D3×#67C2212yescomplemented
33C22×#626C2212yescomplemented
34C22×#625C2211yescharacteristic, complemented
35C22×#625C2211yescharacteristic, complemented
36C2×#3805C2211yescharacteristic
37C2×#3805C2211yescharacteristic, complemented
38C2×#3805C2211yescharacteristic, complemented
39#64313—28no—
40#64306—28no—
41C2×#3802C2211yescharacteristic, complemented
42C2×#3802C2211yescharacteristic, complemented
43C2×D3×D12C2212yescomplemented
44C2×C4×D32C2212yescomplemented
45C2×#3798C2211yescharacteristic, complemented
46C2×#3798C2211yescharacteristic, complemented
47C2×#3798C2211yescharacteristic, complemented
48C2×#3797C2211yescharacteristic, complemented
49C2×#3796C2212yescomplemented
50C2×#3795C2212yescomplemented
51C32×#123C2211yescharacteristic, complemented
52#64146C2211yescharacteristic, complemented
53#64138C2211yescharacteristic, complemented
54#64105C2211yescharacteristic, complemented
55#64105C2211yescharacteristic, complemented
56#64102C2211yescharacteristic, complemented
57#64102C2211yescharacteristic, complemented
58#64093C2211yescharacteristic, complemented
59#64093C2211yescharacteristic, complemented
60#64091C2211yescharacteristic, complemented
61#64090C2211yescharacteristic, complemented
62#64090C2211yescharacteristic, complemented
63#64086C2211yescharacteristic, complemented
64C3×#939C2212yescomplemented
65C2×C3×(C2×D3)⋊C4C2212yescomplemented
66C3×#896C2212yescomplemented
67C3×#895C2212yescomplemented
68C3×#894C2212yescomplemented
69C3×#893C2212yescomplemented
70C3×#885C2212yescomplemented
71C3×#884C2212yescomplemented
72C3×#882C2212yescomplemented
73C3×#882C2212yescomplemented
74C3×#67⋊C4C2212yescomplemented
75C3×D3×C22⋊C4C2212yescomplemented
76#63982C2211yescharacteristic, complemented
77#63980C2211yescharacteristic, complemented
78#63979C2212yescomplemented
79#63978C2212yescomplemented
80#63977C2212yescomplemented
81#63976C2212yescomplemented
82Dic3×#67C2212yescomplemented
83#63971C2212yescomplemented
84C2×#3724C2211yescharacteristic, complemented
85#63958C2212yescomplemented
86#63923C2212yescomplemented
87#63922C2212yescomplemented
88#63922C2212yescomplemented
89#63922C2212yescomplemented
90D3×(C2×D3)⋊C4C2212yescomplemented
91C4×#627C2211yescharacteristic, complemented
92#63915C2211yescharacteristic, complemented
93#63915C2211yescharacteristic, complemented
94#63914C2211yescharacteristic, complemented
95#63914C2211yescharacteristic, complemented
96#63912C2212yescomplemented
97#63912C2211yescharacteristic, complemented
98#63912C2211yescharacteristic, complemented
99#63912C2211yescharacteristic, complemented
100#63912C2212yescomplemented
101#63912C2211yescharacteristic, complemented
102#63912C2211yescharacteristic, complemented
103#63911C2212yescomplemented
104#63910C2212yescomplemented
105#63907C2212yescomplemented
106#63906C2212yescomplemented
107#63906C2212yescomplemented
108#63906C2212yescomplemented
109#63905C2212yescomplemented
110#63904C2212yescomplemented
111#63902C2211yescharacteristic, complemented
112C4×#625C2211yescharacteristic, complemented
113#63896C2212yescomplemented
114#63887C2212yescomplemented
115#63886C2212yescomplemented
116#63886C2212yescomplemented
117#63885C2212yescomplemented
118#63885C2212yescomplemented
119#63885C2212yescomplemented
120#63880C2212yescomplemented
121#63879C2212yescomplemented
122#63877C2212yescomplemented
123D3×Dic3⋊C4C2212yescomplemented
124#63865C2211yescharacteristic, complemented
125#63838C2211yescharacteristic, complemented
126C2×D3×#41—32no—
127C2×#1004—32no—
128C3×#546—32no—
129#5829—32no—
130D4×#67—32no—
131#5677—32no—
132#5674—32no—
133#5656—32no—
134#5656—32no—
135#5656—61no—
136#5654—32no—
137#5654D312yescomplemented
138#5633—32no—
139#5629—32no—
140#5609—32no—
141#5609—32no—
142D3×#121—32no—
143#5599—32no—
144#5597—32no—
145#5597—32no—
146#5592—32no—
147#5592—32no—
148#5590—32no—
149#5590—32no—
150#5553—32no—
151D4×D12—32no—
152#5547—32no—
153#5546—32no—
154#5490—32no—
155#5490—32no—
156C2×#884—32no—
157C2×#884—32no—
158C23×C3⋊D3C2311yescharacteristic
159C23×C3×D3C2312yes—
160C23×C3×D3C2312yes—
161C22×D32C2312yes—
162C22×D32C2312yes—
163C2×C32×D4C2311yescharacteristic
164C22×C32×C4C2311yescharacteristic
165C2×#638C2311yescharacteristic
166C2×#638C2311yescharacteristic
167C2×#638C2311yescharacteristic
168C2×#638C2311yescharacteristic
169C22×C3⋊Dic3C2311yescharacteristic
170C22×C3⋊Dic3C2311yescharacteristic
171#3830—24no—
172C2×C4⋊(C3⋊D3)C2311yescharacteristic
173C2×C4⋊(C3⋊D3)C2311yescharacteristic
174C2×C4×C3⋊D3—24no—
175C2×C4×C3⋊D3C2311yescharacteristic
176C2×C4×C3⋊D3C2311yescharacteristic
177C2×C4×C3⋊D3C2311yescharacteristic
178C2×C4×C3⋊D3C2311yescharacteristic
179C2×C4×C3⋊D3C2311yescharacteristic
180C2×#634C2311yescharacteristic
181C2×C3×#67C2312yes—
182C2×C3×#67C2312yes—
183C2×C3×#67C2312yes—
184C2×C3×#67C2312yes—
185C22×C3×Dic3C2312yes—
186C3×D3×D4—28no—
187C3×#235—28no—
188C2×C3×D12C2312yes—
189C2×C3×D12C2312yes—
190C2×C3×D12C2312yes—
191C2×C3×D12C2312yes—
192C2×C3×C4×D3C2312yes—
193C2×C3×C4×D3C2312yes—
194C2×C3×C4×D3C2312yes—
195C2×C3×C4×D3C2312yes—
196C2×C3×Dic6C2312yes—
197#3811—28no—
198D3×#67—28no—
199D3×#67—28no—
200D3×#67—44no—
201C2×#627C2311yescharacteristic
202C2×#627C2311yescharacteristic
203C2×#626—44no—
204C2×#626C2312yes—
205C2×#626C2312yes—
206C2×#626C2312yes—
207C2×#626C2312yes—
208C2×#626C2312yes—
209C2×#626C2312yes—
210C2×#626C2312yes—
211C2×#626C2312yes—
212C2×#625—24no—
213C2×#625—24no—
214C2×#625C2312yes—
215C2×#625C2312yes—
216C2×#625C2311yescharacteristic
217C2×#625C2311yescharacteristic
218C2×#625C2311yescharacteristic
219C2×#625C2312yes—
220C2×#625C2312yes—
221C2×#625C2311yescharacteristic
222C2×#624C2312yes—
223#3805—24no—
224#3805—24no—
225#3805D418yescomplemented
226C2×D3×Dic3C2312yes—
227C2×D3×Dic3C2312yes—
228C2×D3×Dic3C2312yes—
229C2×D3×Dic3C2312yes—
230#3802—24no—
231#3802—24no—
232D3×D12—44no—
233C4×D32—28no—
234#3798—24no—
235#3798—24no—
236#3798—24no—
237#3797—24no—
238#3796—28no—
239#3795—28no—
240C32×C4⋊C4C2311yescharacteristic
241C32×C4⋊C4C2311yescharacteristic
242C32×C22⋊C4C2311yescharacteristic
243C32×C22⋊C4C2311yescharacteristic
244C32×C22⋊C4C2311yescharacteristic
245#3757C2311yescharacteristic
246#3752C2311yescharacteristic
247#3752C2311yescharacteristic
248#3752C2311yescharacteristic
249#3752C2311yescharacteristic
250#3752C2311yescharacteristic
251#3752C2311yescharacteristic
252#3750C2311yescharacteristic
253#3750C2311yescharacteristic
254#3750C2311yescharacteristic
255#3750C2311yescharacteristic
256C4×C3⋊Dic3C2311yescharacteristic
257C4×C3⋊Dic3C2311yescharacteristic
258C3×#217C2312yes—
259C3×(C2×D3)⋊C4C2312yes—
260C3×(C2×D3)⋊C4C2312yes—
261C3×(C2×D3)⋊C4C2312yes—
262C3×(C2×D3)⋊C4C2312yes—
263C3×(C2×D3)⋊C4C2312yes—
264C3×(C2×D3)⋊C4C2312yes—
265C3×(C2×D3)⋊C4C2312yes—
266C3×(C2×D3)⋊C4C2312yes—
267C3×Dic3⋊C4C2312yes—
268C3×Dic3⋊C4C2312yes—
269C3×C4×Dic3C2312yes—
270#3724C2311yescharacteristic
271#3724C2312yes—
272#3724C2311yescharacteristic
273Dic3⋊Dic3C2312yes—
274Dic3⋊Dic3C2312yes—
275#3722C2312yes—
276(C2×D3)⋊Dic3C2312yes—
277(C2×D3)⋊Dic3C2312yes—
278(C2×D3)⋊Dic3C2312yes—
279(C2×D3)⋊Dic3C2312yes—
280Dic32C2312yes—
281#3488—91noSylow
282C2×C3×#41—32no—
283C22×C3×D4—32no—
284C22×#67—32no—
285C22×#67—32no—
286C22×#67—32no—
287C22×#67—32no—
288C22×#67—32no—
289C22×#67—32no—
290D3×#41—616no—
291C2×#239—32no—
292C2×D3×Q8—32no—
293#1004—616no—
294C2×#237—32no—
295C2×#237—32no—
296C2×#237—32no—
297C2×#237—32no—
298C2×#237—32no—
299C2×#237—32no—
300C2×#237—61no—
301C2×D3×D4—32no—
302C2×D3×D4—32no—
303C2×D3×D4—32no—
304C2×D3×D4—32no—
305C2×D3×D4—32no—
306C2×D3×D4—32no—
307C2×D3×D4—32no—
308C2×D3×D4—32no—
309C2×D3×D4C2×D312yescomplemented
310C2×#235—32no—
311C2×#235—32no—
312C2×#235—32no—
313C2×#235—32no—
314C2×#235C2×D312yescomplemented
315C22×D12—32no—
316C22×D12—32no—
317C22×C4×D3—32no—
318C22×C4×D3—32no—
319C22×C4×D3—32no—
320C22×C4×D3—61no—
321C3×#124—32no—
322C3×#123—21no—
323C3×#123—32no—
324C3×#123C2×D312yescomplemented
325C3×C22⋊Q8—32no—
326C3×#121—32no—
327C3×#121—32no—
328C3×#121—32no—
329C3×#120—32no—
330C3×#120—32no—
331C3×C4×D4—32no—
332C3×C4×D4—32no—
333C2×C3×C22⋊C4—32no—
334C2×C3×C22⋊C4—32no—
335#953—32no—
336#953—32no—
337#947—32no—
338#946—32no—
339#940—32no—
340#940—32no—
341#940—32no—
342#940—32no—
343#940—32no—
344#939—32no—
345#939—32no—
346#939—32no—
347#939—32no—
348#939—32no—
349#939—32no—
350#939—32no—
351#939—32no—
352#939C2×D312yescomplemented
353#938—32no—
354#937—32no—
355#937—32no—
356#937—32no—
357#937—32no—
358#937—32no—
359#937—61no—
360D4×Dic3—32no—
361#930—32no—
362#930—32no—
363#930—32no—
364#930—32no—
365#929—32no—
366#929—32no—
367#929—61no—
368C4×#67—32no—
369C4×#67—32no—
370C4×#67—32no—
371C4×#67—32no—
372C2×(C2×D3)⋊C4—32no—
373C2×(C2×D3)⋊C4C2×D312yescomplemented
374C2×Dic3⋊C4—32no—
375C2×Dic3⋊C4—32no—
376#896—32no—
377#896—32no—
378#896—32no—
379#896—32no—
380#896—61no—
381#896—61no—
382#896C2×D312yescomplemented
383#895—32no—
384#895—32no—
385#895—32no—
386#895C2×D312yescomplemented
387#894C2×D312yescomplemented
388#893—32no—
389#893—32no—
390#893—32no—
391#893—61no—
392#893—61no—
393#893C2×D312yescomplemented
394D3×C4⋊C4—32no—
395#887—32no—
396#885—32no—
397#885—32no—
398#885—32no—
399#885C2×D312yescomplemented
400#884—32no—
401#884—32no—
402#884—32no—
403#884—32no—
404#884—32no—
405#884—32no—
406#884—32no—
407#884—32no—
408#884—32no—
409#884—32no—
410#884—32no—
411#884—32no—
412#884—32no—
413#884—32no—
414#884—32no—
415#884—32no—
416#884—32no—
417#884—32no—
418#884—32no—
419#884—32no—
420#884—61no—
421#884—61no—
422#884C2×D312yescomplemented
423#883—32no—
424#882—32no—
425#882—32no—
426#882—32no—
427#882—32no—
428#882—32no—
429#882—32no—
430#882—32no—
431#882—61no—
432#882C2×D312yescomplemented
433#882C2×D312yescomplemented
434#67⋊C4—32no—
435#67⋊C4—32no—
436#67⋊C4—32no—
437#67⋊C4—32no—
438#67⋊C4—32no—
439#67⋊C4—61no—
440#67⋊C4—61no—
441#67⋊C4C2×D312yescomplemented
442D3×C22⋊C4—32no—
443D3×C22⋊C4C2×D312yescomplemented
444#878—32no—
445#878—32no—
446#878—32no—
447#877—32no—
448#877—32no—
449#877—61no—
450#874—32no—
451C4×D12—32no—
452#872—32no—
453C4×Dic6—32no—
454C23×C32C2411yescharacteristic
455C23×C32C2411yescharacteristic
456C22×C3⋊D3—22no—
457C22×C3⋊D3—22no—
458C22×C3⋊D3—41no—
459C22×C3⋊D3C2411yescharacteristic
460C22×C3⋊D3C2411yescharacteristic
461C22×C3⋊D3C2411yescharacteristic
462C22×C3×D3—24no—
463C22×C3×D3—24no—
464C22×C3×D3—42no—
465C22×C3×D3—42no—
466C22×C3×D3—42no—
467C22×C3×D3—42no—
468C22×C3×D3C2412yes—
469C22×C3×D3C2412yes—
470C22×C3×D3C2412yes—
471C22×C3×D3C2412yes—
472C2×D32—24no—
473C2×D32—24no—
474C2×D32—24no—
475C2×D32—42no—
476C2×D32—42no—
477C2×D32—42no—
478C32×D4—22no—
479C2×C32×C4—22no—
480C2×C32×C4C2411yescharacteristic
481C2×C32×C4C2411yescharacteristic
482C2×C32×C4C2411yescharacteristic
483C2×C32×C4C2411yescharacteristic
484C2×C32×C4C2411yescharacteristic
485#638—22no—
486#638—22no—
487#638—22no—
488#638—41no—
489C2×C3⋊Dic3—22no—
490C2×C3⋊Dic3C2×D414yescomplemented
491C2×C3⋊Dic3C2411yescharacteristic
492C2×C3⋊Dic3C2411yescharacteristic
493C2×C3⋊Dic3C2411yescharacteristic
494C2×C3⋊Dic3C2411yescharacteristic
495C2×C3⋊Dic3C2411yescharacteristic
496C4⋊(C3⋊D3)—22no—
497C4⋊(C3⋊D3)—41no—
498C4×C3⋊D3—22no—
499C4×C3⋊D3—22no—
500C4×C3⋊D3—22no—
501C4×C3⋊D3—22no—
502C4×C3⋊D3—22no—
503#634—22no—
504C3×#67—24no—
505C3×#67—24no—
506C3×#67—42no—
507C3×#67C2×D418yescomplemented
508C2×C3×Dic3—42no—
509C2×C3×Dic3C2412yes—
510C2×C3×Dic3C2412yes—
511C2×C3×Dic3C2412yes—
512C2×C3×Dic3C2412yes—
513C3×D12—24no—
514C3×D12—24no—
515C3×D12—42no—
516C3×D12—42no—
517C3×C4×D3—24no—
518C3×C4×D3—24no—
519C3×C4×D3—24no—
520C3×C4×D3—42no—
521C3×Dic6—24no—
522#627—22no—
523#627C2×D414yescomplemented
524#626—24no—
525#626—24no—
526#626—24no—
527#626—24no—
528#626—24no—
529#626—42no—
530#626—42no—
531#626—42no—
532#625—24no—
533#625—24no—
534#625—22no—
535#625—22no—
536#625—22no—
537#625—42no—
538#625—42no—
539#625C2×D414yescomplemented
540#624—24no—
541D3×Dic3—24no—
542D3×Dic3—24no—
543D3×Dic3—42no—
544D3×Dic3C2×D418yescomplemented
545C2×H(5,𝔽2)—91no—
546C22×#41—91no—
547#550—91no—
548#550—91no—
549#548—91no—
550#548—91no—
551#546—32no—
552#546—91no—
553#546—92no—
554#546—91no—
555D42—92no—
556D42—91no—
557D42—91no—
558D42—92no—
559#537—91no—
560#537—92no—
561#535—91no—
562#535—92no—
563#525—92no—
564#525—91no—
565C2×#121—91no—
566C2×#121—92no—
567#520—91no—
568C24×C3—32no—
569C24×C3—32no—
570C23×D3—32no—
571C23×D3—32no—
572C23×D3—32no—
573C23×D3—32no—
574C23×D3—32no—
575C23×D3—61no—
576C23×D3C22×D312yes—
577C23×D3C22×D312yes—
578C3×#41—68no—
579C2×C3×Q8—32no—
580C2×C3×D4—21no—
581C2×C3×D4—32no—
582C2×C3×D4—32no—
583C2×C3×D4—32no—
584C2×C3×D4—32no—
585C2×C3×D4—32no—
586C2×C3×D4—32no—
587C2×C3×D4—32no—
588C2×C3×D4—32no—
589C2×C3×D4—68no—
590C2×C3×D4C22×D312yes—
591C22×C3×C4—21no—
592C22×C3×C4—32no—
593C22×C3×C4—32no—
594C22×C3×C4—32no—
595C22×C3×C4—32no—
596C22×C3×C4—32no—
597C22×C3×C4C22×D312yes—
598C2×#67—32no—
599C2×#67—32no—
600C2×#67—32no—
601C2×#67—32no—
602C2×#67—32no—
603C2×#67—32no—
604C2×#67—32no—
605C2×#67—32no—
606C2×#67—32no—
607C2×#67—32no—
608C2×#67—32no—
609C2×#67—32no—
610C2×#67—32no—
611C2×#67—32no—
612C2×#67—32no—
613C2×#67—32no—
614C2×#67—32no—
615C2×#67—32no—
616C2×#67—32no—
617C2×#67—32no—
618C2×#67—32no—
619C2×#67—32no—
620C2×#67—32no—
621C2×#67—32no—
622C2×#67—61no—
623C2×#67—61no—
624C2×#67—61no—
625C2×#67—61no—
626C2×#67—68no—
627C2×#67—68no—
628C2×#67—68no—
629C2×#67—68no—
630C2×#67—124no—
631C2×#67—124no—
632C2×#67C22×D312yes—
633C2×#67C22×D312yes—
634C2×#67C22×D312yes—
635C2×#67C22×D312yes—
636C22×Dic3—32no—
637C22×Dic3—32no—
638C22×Dic3—32no—
639C22×Dic3—32no—
640C22×Dic3—32no—
641C22×Dic3—32no—
642C22×Dic3—61no—
643C22×Dic3—61no—
644C22×Dic3C22×D312yes—
645#239—68no—
646D3×Q8—68no—
647#237—316no—
648#237—68no—
649#237—68no—
650#237—68no—
651#237—68no—
652#237—68no—
653#237—124no—
654D3×D4—28no—
655D3×D4—68no—
656D3×D4—68no—
657D3×D4—68no—
658D3×D4—68no—
659D3×D4—68no—
660D3×D4—68no—
661D3×D4—124no—
662D3×D4—124no—
663#235—28no—
664#235—68no—
665#235—68no—
666#235—68no—
667#235—68no—
668C2×D12—32no—
669C2×D12—32no—
670C2×D12—32no—
671C2×D12—32no—
672C2×D12—32no—
673C2×D12—32no—
674C2×D12—32no—
675C2×D12—32no—
676C2×D12—32no—
677C2×D12—32no—
678C2×D12—61no—
679C2×D12—61no—
680C2×D12—124no—
681C2×D12—124no—
682C2×D12C22×D312yes—
683C2×D12C22×D312yes—
684C2×D12C22×D312yes—
685C2×D12C22×D312yes—
686C2×C4×D3—32no—
687C2×C4×D3—32no—
688C2×C4×D3—32no—
689C2×C4×D3—32no—
690C2×C4×D3—32no—
691C2×C4×D3—32no—
692C2×C4×D3—32no—
693C2×C4×D3—32no—
694C2×C4×D3—32no—
695C2×C4×D3—32no—
696C2×C4×D3—32no—
697C2×C4×D3—61no—
698C2×C4×D3—61no—
699C2×C4×D3—61no—
700C2×C4×D3—61no—
701C2×C4×D3—61no—
702C2×C4×D3—68no—
703C2×C4×D3—68no—
704C2×C4×D3—68no—
705C2×C4×D3—124no—
706C2×C4×D3C22×D312yes—
707C2×C4×D3C22×D312yes—
708C2×C4×D3C22×D312yes—
709C2×C4×D3C22×D312yes—
710C2×Dic6—32no—
711C2×Dic6—32no—
712C2×Dic6—32no—
713C2×Dic6—61no—
714C2×Dic6C22×D312yes—
715C3×C4⋊C4—21no—
716C3×C4⋊C4—21no—
717C3×C4⋊C4—32no—
718C3×C4⋊C4—32no—
719C3×C4⋊C4C22×D312yes—
720C3×C4⋊C4C22×D312yes—
721C3×C22⋊C4—21no—
722C3×C22⋊C4—21no—
723C3×C22⋊C4—21no—
724C3×C22⋊C4—32no—
725C3×C22⋊C4—32no—
726C3×C22⋊C4—32no—
727C3×C22⋊C4—32no—
728C3×C22⋊C4—32no—
729C3×C22⋊C4—32no—
730C3×C22⋊C4—32no—
731C3×C22⋊C4—32no—
732C3×C22⋊C4—32no—
733C3×C22⋊C4C22×D312yes—
734C3×C22⋊C4C22×D312yes—
735C3×C22⋊C4C22×D312yes—
736C3×C42—32no—
737#217—32no—
738#217—32no—
739#217—32no—
740#217—32no—
741#217—32no—
742#217—61no—
743#217C22×D312yes—
744(C2×D3)⋊C4—32no—
745(C2×D3)⋊C4—32no—
746(C2×D3)⋊C4—32no—
747(C2×D3)⋊C4—32no—
748(C2×D3)⋊C4—32no—
749(C2×D3)⋊C4—32no—
750(C2×D3)⋊C4—32no—
751(C2×D3)⋊C4—32no—
752(C2×D3)⋊C4—32no—
753(C2×D3)⋊C4—32no—
754(C2×D3)⋊C4—32no—
755(C2×D3)⋊C4—32no—
756(C2×D3)⋊C4—61no—
757(C2×D3)⋊C4—61no—
758(C2×D3)⋊C4—61no—
759(C2×D3)⋊C4—61no—
760(C2×D3)⋊C4—61no—
761(C2×D3)⋊C4—61no—
762(C2×D3)⋊C4C22×D312yes—
763(C2×D3)⋊C4C22×D312yes—
764(C2×D3)⋊C4C22×D312yes—
765(C2×D3)⋊C4C22×D312yes—
766(C2×D3)⋊C4C22×D312yes—
767(C2×D3)⋊C4C22×D312yes—
768(C2×D3)⋊C4C22×D312yes—
769(C2×D3)⋊C4C22×D312yes—
770C4⋊Dic3—32no—
771C4⋊Dic3—32no—
772Dic3⋊C4—32no—
773Dic3⋊C4—32no—
774Dic3⋊C4—32no—
775Dic3⋊C4—32no—
776Dic3⋊C4—32no—
777Dic3⋊C4—32no—
778Dic3⋊C4—32no—
779Dic3⋊C4—32no—
780Dic3⋊C4—32no—
781Dic3⋊C4—32no—
782Dic3⋊C4—61no—
783Dic3⋊C4—61no—
784Dic3⋊C4—61no—
785Dic3⋊C4—61no—
786Dic3⋊C4C22×D312yes—
787Dic3⋊C4C22×D312yes—
788C4×Dic3—32no—
789C4×Dic3—32no—
790C4×Dic3—32no—
791C4×Dic3—32no—
792C4×Dic3—61no—
793C4×Dic3—61no—
794C4×Dic3C22×D312yes—
795C22×C32—21no—
796C22×C32—21no—
797C22×C32—21no—
798C22×C32—21no—
799C22×C32—21no—
800C22×C32C22×D412yes—
801C22×C32C2511yescharacteristic
802C2×C3⋊D3—21no—
803C2×C3⋊D3—21no—
804C2×C3⋊D3—21no—
805C2×C3⋊D3—21no—
806C2×C3⋊D3—21no—
807C2×C3⋊D3—21no—
808C2×C3⋊D3—21no—
809C2×C3⋊D3—21no—
810C2×C3⋊D3—44no—
811C2×C3⋊D3H(5,𝔽2)12yescomplemented
812C2×C3×D3—22no—
813C2×C3×D3—22no—
814C2×C3×D3—22no—
815C2×C3×D3—22no—
816C2×C3×D3—22no—
817C2×C3×D3—22no—
818C2×C3×D3—22no—
819C2×C3×D3—22no—
820C2×C3×D3—22no—
821C2×C3×D3—22no—
822C2×C3×D3—22no—
823C2×C3×D3—84no—
824C2×C3×D3—84no—
825C2×C3×D3C22×D414yes—
826D32—48no—
827D32—84no—
828C32×C4—21no—
829C32×C4—21no—
830C32×C4—21no—
831C32×C4—21no—
832C32×C4—21no—
833C3⋊Dic3—21no—
834C3⋊Dic3—21no—
835C3⋊Dic3—21no—
836C3⋊Dic3C22×D412yes—
837C3⋊Dic3C22×D412yes—
838C3×Dic3—22no—
839C3×Dic3—22no—
840C3×Dic3—22no—
841C3×Dic3C22×D414yes—
842H(5,𝔽2)—188no—
843C2×#41—32no—
844C2×#41—91no—
845C2×#41—91no—
846C2×#41—91no—
847C2×#41—92no—
848C2×#41—91no—
849C2×#41—91no—
850C2×#41—91no—
851C2×#41—92no—
852C2×#41—91no—
853C2×#41—188no—
854C22×Q8—91no—
855C22×D4—32no—
856C22×D4—92no—
857C22×D4—92no—
858C22×D4—92no—
859C22×D4—91no—
860C22×D4—91no—
861C22×D4—92no—
862C22×D4—92no—
863C22×D4—92no—
864C22×D4—91no—
865C22×D4—91no—
866C23×C4—92no—
867C23×C4—91no—
868#127—92no—
869#127—92no—
870#127—91no—
871#127—91no—
872#124—32no—
873#124—91no—
874#124—91no—
875#124—92no—
876#123—32no—
877#123—92no—
878#123—91no—
879#123D3211yescharacteristic, complemented
880C22⋊Q8—32no—
881C22⋊Q8—91no—
882C22⋊Q8—92no—
883C22⋊Q8—92no—
884C22⋊Q8—91no—
885C22⋊Q8—91no—
886C22⋊Q8—91no—
887#121—32no—
888#121—32no—
889#121—32no—
890#121—92no—
891#121—92no—
892#121—91no—
893#121—91no—
894#121—91no—
895#121—91no—
896#121—91no—
897#121—92no—
898#121—92no—
899#121—92no—
900#121—92no—
901#121—92no—
902#121—92no—
903#121—92no—
904#121—92no—
905#121—92no—
906#121—92no—
907#121—92no—
908#121—92no—
909#121—91no—
910#121—91no—
911#121—91no—
912#120—32no—
913#120—32no—
914#120—92no—
915#120—92no—
916#120—92no—
917#120—92no—
918#120—92no—
919#120—92no—
920#120—91no—
921#120—91no—
922C4×Q8—91no—
923C4×Q8—91no—
924C4×D4—32no—
925C4×D4—32no—
926C4×D4—92no—
927C4×D4—91no—
928C4×D4—92no—
929C4×D4—92no—
930C4×D4—91no—
931C4×D4—92no—
932C4×D4—91no—
933C4×D4—91no—
934C4×D4—91no—
935C4×D4—91no—
936#117—92no—
937#117—91no—
938C2×C4⋊C4—92no—
939C2×C4⋊C4—91no—
940C2×C22⋊C4—32no—
941C2×C22⋊C4—32no—
942C2×C22⋊C4—92no—
943C23×C3—21no—
944C23×C3—21no—
945C23×C3—32no—
946C23×C3—32no—
947C23×C3—32no—
948C23×C3—32no—
949C23×C3—64no—
950C23×C3—64no—
951C23×C3—122no—
952C23×C3—122no—
953C23×C3—122no—
954C23×C3—122no—
955C23×C3C23×D312yes—
956C23×C3C23×D312yes—
957C22×D3—24no—
958C22×D3—24no—
959C22×D3—32no—
960C22×D3—32no—
961C22×D3—32no—
962C22×D3—42no—
963C22×D3—42no—
964C22×D3—42no—
965C22×D3—42no—
966C22×D3—61no—
967C22×D3—61no—
968C22×D3—61no—
969C22×D3—64no—
970C22×D3—64no—
971C22×D3—64no—
972C22×D3—64no—
973C22×D3—64no—
974C22×D3—64no—
975C22×D3—64no—
976C22×D3—64no—
977C22×D3—122no—
978C22×D3—122no—
979C22×D3—122no—
980C22×D3—122no—
981C22×D3—122no—
982C22×D3—122no—
983C22×D3—122no—
984C22×D3—122no—
985C22×D3—122no—
986C22×D3—122no—
987C22×D3C23×D312yes—
988C22×D3C23×D312yes—
989C22×D3C23×D312yes—
990C22×D3C23×D312yes—
991C3×Q8—64no—
992C3×D4—24no—
993C3×D4—38no—
994C3×D4—42no—
995C3×D4—64no—
996C3×D4—64no—
997C3×D4—64no—
998C3×D4—64no—
999C3×D4—122no—
1000C3×D4—122no—
1001C3×D4—122no—
1002C2×C3×C4—24no—
1003C2×C3×C4—21no—
1004C2×C3×C4—21no—
1005C2×C3×C4—21no—
1006C2×C3×C4—21no—
1007C2×C3×C4—21no—
1008C2×C3×C4—32no—
1009C2×C3×C4—32no—
1010C2×C3×C4—32no—
1011C2×C3×C4—32no—
1012C2×C3×C4—42no—
1013C2×C3×C4—64no—
1014C2×C3×C4—64no—
1015C2×C3×C4—64no—
1016C2×C3×C4—122no—
1017C2×C3×C4—122no—
1018C2×C3×C4C23×D312yes—
1019C2×C3×C4C23×D312yes—
1020C2×C3×C4C23×D312yes—
1021C2×C3×C4C23×D312yes—
1022C2×C3×C4C23×D312yes—
1023#67—24no—
1024#67—24no—
1025#67—38no—
1026#67—42no—
1027#67—64no—
1028#67—64no—
1029#67—64no—
1030#67—64no—
1031#67—64no—
1032#67—64no—
1033#67—64no—
1034#67—64no—
1035#67—64no—
1036#67—64no—
1037#67—64no—
1038#67—64no—
1039#67—64no—
1040#67—64no—
1041#67—64no—
1042#67—122no—
1043#67—122no—
1044#67—122no—
1045#67—122no—
1046#67—122no—
1047#67—122no—
1048#67—122no—
1049#67—122no—
1050#67—122no—
1051#67—122no—
1052#67—122no—
1053#67—122no—
1054#67D3×D418yescomplemented
1055C2×Dic3—38no—
1056C2×Dic3—32no—
1057C2×Dic3—32no—
1058C2×Dic3—38no—
1059C2×Dic3—32no—
1060C2×Dic3—32no—
1061C2×Dic3—32no—
1062C2×Dic3—42no—
1063C2×Dic3—64no—
1064C2×Dic3—61no—
1065C2×Dic3—61no—
1066C2×Dic3—61no—
1067C2×Dic3—61no—
1068C2×Dic3—61no—
1069C2×Dic3—64no—
1070C2×Dic3—64no—
1071C2×Dic3—64no—
1072C2×Dic3—122no—
1073C2×Dic3—122no—
1074C2×Dic3C23×D312yes—
1075C2×Dic3C23×D312yes—
1076C2×Dic3C23×D312yes—
1077C2×Dic3C23×D312yes—
1078D12—24no—
1079D12—24no—
1080D12—42no—
1081D12—42no—
1082D12—64no—
1083D12—64no—
1084D12—64no—
1085D12—64no—
1086D12—64no—
1087D12—64no—
1088D12—122no—
1089D12—122no—
1090D12—122no—
1091D12—122no—
1092D12—122no—
1093D12—122no—
1094C4×D3—24no—
1095C4×D3—24no—
1096C4×D3—24no—
1097C4×D3—38no—
1098C4×D3—42no—
1099C4×D3—64no—
1100C4×D3—64no—
1101C4×D3—64no—
1102C4×D3—64no—
1103C4×D3—64no—
1104C4×D3—64no—
1105C4×D3—64no—
1106C4×D3—64no—
1107C4×D3—64no—
1108C4×D3—122no—
1109C4×D3—122no—
1110C4×D3—122no—
1111C4×D3—122no—
1112C4×D3—122no—
1113C4×D3—122no—
1114Dic6—24no—
1115Dic6—38no—
1116Dic6—64no—
1117Dic6—64no—
1118Dic6—122no—
1119C2×C32—22no—
1120C2×C32—41no—
1121C2×C32C23×D411yescharacteristic
1122C2×C32C2×H(5,𝔽2)11yescharacteristic
1123C2×C32#58511yescharacteristic
1124C3⋊D3—22no—
1125C3⋊D3—41no—
1126C3⋊D3—41no—
1127C3×D3—24no—
1128C3×D3—42no—
1129C3×D3—42no—
1130C3×D3—42no—
1131C24—32no—
1132C24—32no—
1133C24—92no—
1134C24—92no—
1135C24—91no—
1136#41—68no—
1137#41—98no—
1138#41—184no—
1139#41—184no—
1140#41—184no—
1141#41—188no—
1142#41—184no—
1143#41—184no—
1144#41—188no—
1145#41—184no—
1146C2×Q8—32no—
1147C2×Q8—91no—
1148C2×Q8—91no—
1149C2×Q8—91no—
1150C2×Q8—184no—
1151C2×D4—32no—
1152C2×D4—32no—
1153C2×D4—32no—
1154C2×D4—32no—
1155C2×D4—32no—
1156C2×D4—32no—
1157C2×D4—32no—
1158C2×D4—32no—
1159C2×D4—68no—
1160C2×D4—92no—
1161C2×D4—92no—
1162C2×D4—92no—
1163C2×D4—92no—
1164C2×D4—92no—
1165C2×D4—92no—
1166C2×D4—92no—
1167C2×D4—92no—
1168C2×D4—91no—
1169C2×D4—92no—
1170C2×D4—92no—
1171C2×D4—91no—
1172C2×D4—91no—
1173C2×D4—91no—
1174C2×D4—91no—
1175C2×D4—91no—
1176C2×D4—91no—
1177C2×D4—92no—
1178C2×D4—92no—
1179C2×D4—91no—
1180C2×D4—91no—
1181C2×D4—91no—
1182C2×D4—188no—
1183C2×D4—184no—
1184C2×D4—188no—
1185C2×D4—188no—
1186C2×D4—184no—
1187C2×D4—184no—
1188C2×D4—184no—
1189C2×D4—364no—
1190C2×D4—364no—
1191C2×D4—364no—
1192C2×D4C2×D3211yescharacteristic
1193C22×C4—32no—
1194C22×C4—32no—
1195C22×C4—32no—
1196C22×C4—32no—
1197C22×C4—32no—
1198C22×C4—92no—
1199C22×C4—92no—
1200C22×C4—92no—
1201C22×C4—92no—
1202C22×C4—92no—
1203C22×C4—91no—
1204C22×C4—91no—
1205C22×C4—91no—
1206C22×C4—91no—
1207C22×C4—91no—
1208C22×C4—91no—
1209C22×C4—91no—
1210C22×C4—184no—
1211C22×C4—188no—
1212C22×C4C2×D3211yescharacteristic
1213C4⋊C4—32no—
1214C4⋊C4—32no—
1215C4⋊C4—92no—
1216C4⋊C4—91no—
1217C4⋊C4—91no—
1218C4⋊C4—92no—
1219C4⋊C4—92no—
1220C4⋊C4—91no—
1221C4⋊C4—91no—
1222C4⋊C4—91no—
1223C4⋊C4—91no—
1224C4⋊C4C2×D3211yescharacteristic
1225C4⋊C4C2×D3211yescharacteristic
1226C22⋊C4—32no—
1227C22⋊C4—32no—
1228C22⋊C4—32no—
1229C22⋊C4—32no—
1230C22⋊C4—32no—
1231C22⋊C4—32no—
1232C22⋊C4—32no—
1233C22⋊C4—32no—
1234C22⋊C4—32no—
1235C22⋊C4—92no—
1236C22⋊C4—92no—
1237C22⋊C4—92no—
1238C22⋊C4—92no—
1239C22⋊C4—92no—
1240C22⋊C4—91no—
1241C22⋊C4—91no—
1242C22⋊C4—91no—
1243C22⋊C4—91no—
1244C22⋊C4—91no—
1245C22⋊C4—91no—
1246C22⋊C4—91no—
1247C22⋊C4C2×D3211yescharacteristic
1248C22⋊C4C2×D3211yescharacteristic
1249C22⋊C4C2×D3211yescharacteristic
1250C42—32no—
1251C42—92no—
1252C42—91no—
1253C42—91no—
1254C22×C3—22no—
1255C22×C3—22no—
1256C22×C3—22no—
1257C22×C3—22no—
1258C22×C3—22no—
1259C22×C3—22no—
1260C22×C3—21no—
1261C22×C3—34no—
1262C22×C3—41no—
1263C22×C3—41no—
1264C22×C3—41no—
1265C22×C3—41no—
1266C22×C3—41no—
1267C22×C3—62no—
1268C22×C3—62no—
1269C22×C3—62no—
1270C22×C3—62no—
1271C22×C3—62no—
1272C22×C3—62no—
1273C22×C3—62no—
1274C22×C3—62no—
1275C22×C3—62no—
1276C22×C3—62no—
1277C22×C3—62no—
1278C22×C3—244no—
1279C22×C3—244no—
1280C22×C3C2×D3×D414yes—
1281C22×C3C24×D312yes—
1282C2×D3—22no—
1283C2×D3—22no—
1284C2×D3—22no—
1285C2×D3—22no—
1286C2×D3—22no—
1287C2×D3—22no—
1288C2×D3—22no—
1289C2×D3—22no—
1290C2×D3—22no—
1291C2×D3—22no—
1292C2×D3—22no—
1293C2×D3—34no—
1294C2×D3—62no—
1295C2×D3—62no—
1296C2×D3—62no—
1297C2×D3—62no—
1298C2×D3—62no—
1299C2×D3—62no—
1300C2×D3—62no—
1301C2×D3—62no—
1302C2×D3—62no—
1303C2×D3—62no—
1304C2×D3—84no—
1305C2×D3—84no—
1306C2×D3—121no—
1307C2×D3—121no—
1308C2×D3—121no—
1309C2×D3—121no—
1310C2×D3—121no—
1311C2×D3—121no—
1312C2×D3—121no—
1313C2×D3—128no—
1314C2×D3—128no—
1315C2×D3—128no—
1316C2×D3—128no—
1317C2×D3—244no—
1318C2×D3—244no—
1319C2×D3C2×D3×D414yes—
1320C3×C4—22no—
1321C3×C4—22no—
1322C3×C4—22no—
1323C3×C4—22no—
1324C3×C4—22no—
1325C3×C4—34no—
1326C3×C4—41no—
1327C3×C4—41no—
1328C3×C4—41no—
1329C3×C4—41no—
1330C3×C4—41no—
1331C3×C4—62no—
1332C3×C4—62no—
1333C3×C4—62no—
1334Dic3—22no—
1335Dic3—22no—
1336Dic3—22no—
1337Dic3—34no—
1338Dic3—34no—
1339Dic3—62no—
1340Dic3—62no—
1341Dic3—62no—
1342Dic3—62no—
1343Dic3—62no—
1344Dic3—121no—
1345Dic3—121no—
1346Dic3—121no—
1347Dic3C2×D3×D414yes—
1348C32#348811yescharacteristic, complemented, Sylow
1349C23—32no—
1350C23—32no—
1351C23—32no—
1352C23—32no—
1353C23—64no—
1354C23—64no—
1355C23—91no—
1356C23—91no—
1357C23—91no—
1358C23—122no—
1359C23—122no—
1360C23—122no—
1361C23—122no—
1362C23—182no—
1363C23—184no—
1364C23—184no—
1365C23—184no—
1366C23—182no—
1367C23—361no—
1368C23—362no—
1369C23—362no—
1370C23—362no—
1371C23C22×D3211yescharacteristic
1372C23C22×D3211yescharacteristic
1373Q8—64no—
1374Q8—94no—
1375Q8—182no—
1376Q8—182no—
1377D4—22no—
1378D4—38no—
1379D4—64no—
1380D4—64no—
1381D4—64no—
1382D4—64no—
1383D4—94no—
1384D4—122no—
1385D4—122no—
1386D4—122no—
1387D4—182no—
1388D4—184no—
1389D4—184no—
1390D4—184no—
1391D4—184no—
1392D4—184no—
1393D4—182no—
1394D4—184no—
1395D4—182no—
1396D4—182no—
1397D4—182no—
1398D4—182no—
1399D4—184no—
1400D4—182no—
1401D4—361no—
1402D4—362no—
1403D4—362no—
1404D4—362no—
1405D4—361no—
1406D4—362no—
1407D4—362no—
1408C2×C4—22no—
1409C2×C4—32no—
1410C2×C4—32no—
1411C2×C4—32no—
1412C2×C4—32no—
1413C2×C4—64no—
1414C2×C4—64no—
1415C2×C4—64no—
1416C2×C4—98no—
1417C2×C4—94no—
1418C2×C4—91no—
1419C2×C4—91no—
1420C2×C4—91no—
1421C2×C4—91no—
1422C2×C4—91no—
1423C2×C4—122no—
1424C2×C4—122no—
1425C2×C4—182no—
1426C2×C4—182no—
1427C2×C4—182no—
1428C2×C4—182no—
1429C2×C4—182no—
1430C2×C4—184no—
1431C2×C4—184no—
1432C2×C4—184no—
1433C2×C4—182no—
1434C2×C4—362no—
1435C2×C4C22×D3211yescharacteristic
1436C2×C4C22×D3211yescharacteristic
1437C2×C4C22×D3211yescharacteristic
1438C2×C4C22×D3211yescharacteristic
1439C2×C4C22×D3211yescharacteristic
1440C2×C3—24no—
1441C2×C3—21no—
1442C2×C3—21no—
1443C2×C3—21no—
1444C2×C3—42no—
1445C2×C3—42no—
1446C2×C3—64no—
1447C2×C3—81no—
1448C2×C3—122no—
1449C2×C3—122no—
1450C2×C3—122no—
1451C2×C3C22×D3×D412yes—
1452C2×C3#596412yes—
1453C2×C3D3×H(5,𝔽2)12yes—
1454D3—24no—
1455D3—42no—
1456D3—42no—
1457D3—42no—
1458D3—64no—
1459D3—122no—
1460D3—122no—
1461D3—122no—
1462D3—122no—
1463D3—241no—
1464C22—21no—
1465C22—21no—
1466C22—21no—
1467C22—21no—
1468C22—21no—
1469C22—34no—
1470C22—62no—
1471C22—62no—
1472C22—62no—
1473C22—62no—
1474C22—62no—
1475C22—62no—
1476C22—62no—
1477C22—62no—
1478C22—62no—
1479C22—62no—
1480C22—62no—
1481C22—92no—
1482C22—181no—
1483C22—181no—
1484C22—181no—
1485C22—181no—
1486C22—181no—
1487C22—181no—
1488C22—181no—
1489C22—181no—
1490C22—244no—
1491C22—244no—
1492C22—364no—
1493C22—368no—
1494C22—724no—
1495C22D32×D412yes—
1496C22C23×D3211yescharacteristic
1497C4—21no—
1498C4—21no—
1499C4—21no—
1500C4—21no—
1501C4—21no—
1502C4—34no—
1503C4—62no—
1504C4—62no—
1505C4—62no—
1506C4—92no—
1507C4—92no—
1508C4—181no—
1509C4—181no—
1510C4—181no—
1511C3—21no—
1512C3#8662912yescomplemented
1513C2—22no—
1514C2—41no—
1515C2—64no—
1516C2—122no—
1517C2—122no—
1518C2—122no—
1519C2—182no—
1520C2—361no—
1521C2—361no—
1522C2C2×D32×D411yescharacteristic
1523C2#1059669211yescharacteristic
1524C2#1059669511yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×#123C22
hypercenter#123D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #123

Complements

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

NH ≅ G/Ntype
1. C2×#64313C2semidirect
2. C2×#64306C2semidirect
3. #10596127C2semidirect
4. C3×#5654C2semidirect
5. #10595291C2semidirect
6. #10595166C2semidirect
7. #10595065C2semidirect
8. C2×#63912C2semidirect
9. #10594618C2semidirect
10. #10594616C2semidirect
11. #10594614C2semidirect
12. #10594521C2semidirect
13. #10594520C2semidirect
14. #10594368C2semidirect
15. #10594277C2semidirect
16. #10594271C2semidirect
17. #10594270C2semidirect
18. D3×#884C2semidirect
19. #10594192C2semidirect
20. #10594191C2semidirect
21. #10594190C2semidirect
22. #10594183C2semidirect
23. #10594051C2semidirect
25. C2×#3830C22semidirect
26. C22×C4×C3⋊D3C22semidirect
27. C2×C3×D3×D4C22semidirect
28. C2×C3×#235C22semidirect
29. C2×#3811C22semidirect
30. C2×D3×#67C22semidirect
31. C2×D3×#67C22semidirect
32. C2×D3×#67C22semidirect
33. C22×#626C22semidirect
34. C22×#625C22semidirect
35. C22×#625C22semidirect
37. C2×#3805C22semidirect
38. C2×#3805C22semidirect
41. C2×#3802C22semidirect
42. C2×#3802C22semidirect
43. C2×D3×D12C22semidirect
44. C2×C4×D32C22semidirect
45. C2×#3798C22semidirect
46. C2×#3798C22semidirect
47. C2×#3798C22semidirect
48. C2×#3797C22semidirect
49. C2×#3796C22semidirect
50. C2×#3795C22semidirect
51. C32×#123C22semidirect
52. #64146C22semidirect
53. #64138C22semidirect
54. #64105C22semidirect
55. #64105C22semidirect
56. #64102C22semidirect
57. #64102C22semidirect
58. #64093C22semidirect
59. #64093C22semidirect
60. #64091C22semidirect
61. #64090C22semidirect
62. #64090C22semidirect
63. #64086C22semidirect
64. C3×#939C22semidirect
65. C2×C3×(C2×D3)⋊C4C22semidirect
66. C3×#896C22semidirect
67. C3×#895C22semidirect
68. C3×#894C22semidirect
69. C3×#893C22semidirect
70. C3×#885C22semidirect
71. C3×#884C22semidirect
72. C3×#882C22semidirect
73. C3×#882C22semidirect
74. C3×#67⋊C4C22semidirect
75. C3×D3×C22⋊C4C22semidirect
76. #63982C22semidirect
77. #63980C22semidirect
78. #63979C22semidirect
79. #63978C22semidirect
80. #63977C22semidirect
81. #63976C22semidirect
82. Dic3×#67C22semidirect
83. #63971C22semidirect
84. C2×#3724C22semidirect
85. #63958C22semidirect
86. #63923C22semidirect
87. #63922C22semidirect
88. #63922C22semidirect
89. #63922C22semidirect
90. D3×(C2×D3)⋊C4C22semidirect
91. C4×#627C22semidirect
92. #63915C22semidirect
93. #63915C22semidirect
94. #63914C22semidirect
95. #63914C22semidirect
96. #63912C22semidirect
97. #63912C22semidirect
98. #63912C22semidirect
99. #63912C22semidirect
100. #63912C22semidirect
101. #63912C22semidirect
102. #63912C22semidirect
103. #63911C22semidirect
104. #63910C22semidirect
105. #63907C22semidirect
106. #63906C22semidirect
107. #63906C22semidirect
108. #63906C22semidirect
109. #63905C22semidirect
110. #63904C22semidirect
111. #63902C22semidirect
112. C4×#625C22semidirect
113. #63896C22semidirect
114. #63887C22semidirect
115. #63886C22semidirect
116. #63886C22semidirect
117. #63885C22semidirect
118. #63885C22semidirect
119. #63885C22semidirect
120. #63880C22semidirect
121. #63879C22semidirect
122. #63877C22semidirect
123. D3×Dic3⋊C4C22semidirect
124. #63865C22semidirect
125. #63838C22semidirect
137. #5654D3semidirect
225. #3805D4semidirect
309. C2×D3×D4C2×D3semidirect
314. C2×#235C2×D3semidirect
324. C3×#123C2×D3semidirect
352. #939C2×D3semidirect
373. C2×(C2×D3)⋊C4C2×D3semidirect
382. #896C2×D3semidirect
386. #895C2×D3semidirect
387. #894C2×D3semidirect
393. #893C2×D3semidirect
399. #885C2×D3semidirect
422. #884C2×D3semidirect
432. #882C2×D3semidirect
433. #882C2×D3semidirect
441. #67⋊C4C2×D3semidirect
443. D3×C22⋊C4C2×D3semidirect
490. C2×C3⋊Dic3C2×D4semidirect
507. C3×#67C2×D4semidirect
523. #627C2×D4semidirect
539. #625C2×D4semidirect
544. D3×Dic3C2×D4semidirect
811. C2×C3⋊D3H(5,𝔽2)semidirect
879. #123D32semidirect
1054. #67D3×D4semidirect
1348. C32#3488semidirect
1512. C3#86629semidirect

Maximal subgroups

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

subgroupindex
C2×#643132
C2×#643062
#105961272
C3×#56542
#105952912
#105951662
#105950652
C2×#639122
#105946182
#105946162
#105946142
#105945212
#105945202
#105943682
#105942772
#105942712
#105942702
D3×#8842
#105941922
#105941912
#105941902
#105941832
#105940512
#866293