Finite Group Databasebeta

← #11904678

Subgroups — #11904678

Order 1152.

3483 conjugacy classes of subgroups.

The subgroup lattice has 1688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64314C211yesmaximal, characteristic, complemented
2C2×D3×#237C211yesmaximal, characteristic, complemented
3#10596186C211yesmaximal, characteristic, complemented
4C3×#5718C211yesmaximal, characteristic, complemented
5C3×#5717C211yesmaximal, characteristic, complemented
6#10595296C212yesmaximal, complemented
7#10595295C212yesmaximal, complemented
8#10595291C212yesmaximal, complemented
9#10595288C211yesmaximal, characteristic, complemented
10#10595286C212yesmaximal, complemented
11D3×#939C212yesmaximal, complemented
12#10595282C211yesmaximal, characteristic, complemented
13#10595240C211yesmaximal, characteristic, complemented
14#10595236C211yesmaximal, characteristic, complemented
15#10595228C211yesmaximal, characteristic, complemented
16#10595157C211yesmaximal, characteristic, complemented
17#10595135C212yesmaximal, complemented
18#10595132C212yesmaximal, complemented
19#10595129C212yesmaximal, complemented
20#10594006C211yesmaximal, characteristic, complemented
21#10594003C211yesmaximal, characteristic, complemented
22#10593899C211yesmaximal, characteristic, complemented
23#10593889C211yesmaximal, characteristic, complemented
24#86769—31nomaximal
25#86607—31nomaximal
26C2×#3830C2211yescharacteristic, complemented
27C2×D4×C3⋊D3C2211yescharacteristic, complemented
28C2×C3×#237C2211yescharacteristic, complemented
29C2×C3×#237C2211yescharacteristic, complemented
30C2×C3×D3×D4C2211yescharacteristic, complemented
31C2×C3×D3×D4C2211yescharacteristic, complemented
32C2×C3×D3×D4C2212yescomplemented
33C2×#3811C2212yescomplemented
34C2×#3811C2212yescomplemented
35C2×D3×#67C2212yescomplemented
36C2×D3×#67C2212yescomplemented
37C2×D3×#67C2212yescomplemented
38C22×#626C2212yescomplemented
39C2×#3805C2212yescomplemented
40C2×#3804C2212yescomplemented
41C2×#3804C2212yescomplemented
42C22×D3×Dic3C2212yescomplemented
43#64314—28no—
44D3×#237—28no—
45C2×D3×D12C2211yescharacteristic, complemented
46C2×C4×D32C2211yescharacteristic, complemented
47C2×#3799C2211yescharacteristic, complemented
48C2×#3798C2211yescharacteristic, complemented
49C2×#3796C2211yescharacteristic
50C2×#3795C2211yescharacteristic, complemented
51C2×D3×Dic6C2211yescharacteristic, complemented
52C32×#127C2211yescharacteristic, complemented
53#64149C2211yescharacteristic, complemented
54#64148C2212yescomplemented
55#64148C2212yescomplemented
56#64146C2212yescomplemented
57#64146C2212yescomplemented
58#64145C2211yescharacteristic, complemented
59#64084C2211yescharacteristic, complemented
60#64081C2211yescharacteristic, complemented
61C3×#940C2212yescomplemented
62C3×#939C2212yescomplemented
63C3×#939C2212yescomplemented
64C3×#938C2212yescomplemented
65C3×#938C2211yescharacteristic, complemented
66C3×#938C2211yescharacteristic, complemented
67C3×#938C2211yescharacteristic, complemented
68C3×#938C2211yescharacteristic, complemented
69C3×#937C2212yescomplemented
70C3×#937C2212yescomplemented
71C3×D4×Dic3C2212yescomplemented
72C3×C4×D12C2211yescharacteristic, complemented
73C3×C4×D12C2211yescharacteristic, complemented
74C3×C4×D12C2211yescharacteristic, complemented
75C3×C4×Dic6C2211yescharacteristic, complemented
76#63983C2212yescomplemented
77#63982C2212yescomplemented
78#63980C2212yescomplemented
79#63979C2212yescomplemented
80#63978C2212yescomplemented
81#63977C2212yescomplemented
82#63976C2212yescomplemented
83#63974C2212yescomplemented
84Dic3×#67C2212yescomplemented
85#63971C2212yescomplemented
86#63971C2212yescomplemented
87#63971C2212yescomplemented
88#63970C2212yescomplemented
89#63970C2212yescomplemented
90#63969C2212yescomplemented
91D3×#217C2212yescomplemented
92#63964C2212yescomplemented
93#63959C2212yescomplemented
94#63958C2212yescomplemented
95#63958C2212yescomplemented
96#63958C2212yescomplemented
97#63952C2212yescomplemented
98#63922C2212yescomplemented
99#63922C2211yescharacteristic, complemented
100#63922C2211yescharacteristic, complemented
101D3×(C2×D3)⋊C4C2212yescomplemented
102#63909C2211yescharacteristic, complemented
103#63909C2211yescharacteristic, complemented
104#63906C2212yescomplemented
105#63904C2212yescomplemented
106C4×#625C2211yescharacteristic, complemented
107C4×#625C2211yescharacteristic, complemented
108#63900C2211yescharacteristic, complemented
109#63899C2211yescharacteristic, complemented
110#63899C2211yescharacteristic, complemented
111#63898C2211yescharacteristic, complemented
112#63895C2212yescomplemented
113#63890C2212yescomplemented
114#63886C2212yescomplemented
115#63885C2211yescharacteristic, complemented
116#63885C2211yescharacteristic, complemented
117#63880C2212yescomplemented
118#63880C2212yescomplemented
119#63877C2212yescomplemented
120D3×Dic3⋊C4C2212yescomplemented
121#63857C2211yescharacteristic, complemented
122#63857C2211yescharacteristic, complemented
123#63854C2211yescharacteristic, complemented
124#63854C2211yescharacteristic, complemented
125#63852C2212yescomplemented
126#63843C2211yescharacteristic, complemented
127C2×#1009—31no—
128C2×D3×#41—31no—
129C2×#1004—31no—
130C22×#237—31no—
131C3×#550—31no—
132C3×D42—31no—
133#5834—31no—
134#5831—31no—
135#5806—31no—
136C2×#939—32no—
137D4×#67—32no—
138D4×#67—31no—
139#5718D311yescharacteristic, complemented
140#5717—32no—
141#5717D311yescharacteristic, complemented
142#5715—31no—
143#5715—31no—
144#5715—32no—
145#5715—61no—
146#5612—31no—
147#5612—32no—
148#5610—32no—
149#5609—31no—
150#5609—32no—
151#5608—32no—
152#5608—31no—
153#5608—31no—
154D3×#121—32no—
155D3×#121—31no—
156D3×#121—31no—
157#5599—31no—
158#5598—31no—
159#5597—32no—
160#5592—32no—
161#5591—32no—
162#5590—32no—
163#5586—32no—
164#5576—31no—
165#5574—31no—
166#5554—31no—
167#5552—31no—
168#5550—32no—
169#5550—31no—
170#5547—32no—
171#5547—31no—
172#5547—31no—
173#5546—31no—
174C23×C3⋊D3C2312yes—
175C23×C3×D3C2312yes—
176C23×C3×D3C2312yes—
177C22×D32C2311yescharacteristic
178C22×D32C2312yes—
179C2×C32×D4C2311yescharacteristic
180C2×C32×D4C2311yescharacteristic
181C2×C32×D4C2312yes—
182C2×C32×D4C2312yes—
183C2×#638C2312yes—
184C2×#638C2312yes—
185C2×#638C2312yes—
186C2×#638C2312yes—
187C22×C3⋊Dic3C2312yes—
188#3830—24no—
189D4×C3⋊D3—24no—
190C2×C4⋊(C3⋊D3)C2311yescharacteristic
191C2×C4×C3⋊D3C2311yescharacteristic
192C2×#634C2311yescharacteristic
193C2×C3×#67C2312yes—
194C2×C3×#67C2312yes—
195C2×C3×#67C2312yes—
196C2×C3×#67C2312yes—
197C2×C3×#67C2312yes—
198C2×C3×#67C2312yes—
199C2×C3×#67C2312yes—
200C2×C3×#67C2312yes—
201C22×C3×Dic3C2312yes—
202C22×C3×Dic3C2312yes—
203C3×#237—24no—
204C3×#237—24no—
205C3×D3×D4—24no—
206C3×D3×D4—24no—
207C3×D3×D4—44no—
208C2×C3×D12C2311yescharacteristic
209C2×C3×D12C2311yescharacteristic
210C2×C3×D12C2311yescharacteristic
211C2×C3×C4×D3C2311yescharacteristic
212C2×C3×C4×D3C2311yescharacteristic
213C2×C3×C4×D3C2311yescharacteristic
214C2×C3×C4×D3C2311yescharacteristic
215C2×C3×C4×D3C2312yes—
216C2×C3×Dic6C2311yescharacteristic
217#3811—28no—
218#3811—44no—
219D3×#67—28no—
220D3×#67—28no—
221D3×#67—44no—
222C2×#627C2312yes—
223C2×#627C2311yescharacteristic
224C2×#626—28no—
225C2×#626C2311yescharacteristic
226C2×#626C2311yescharacteristic
227C2×#626C2312yes—
228C2×#626C2312yes—
229C2×#626C2312yes—
230C2×#626C2312yes—
231C2×#626C2312yes—
232C2×#625C2312yes—
233C2×#625C2311yescharacteristic
234C2×#625C2311yescharacteristic
235C2×#625C2311yescharacteristic
236C2×#624C2312yes—
237C2×#624C2311yescharacteristic
238C2×#624C2312yes—
239#3805—28no—
240#3804—28no—
241#3804—28no—
242C2×D3×Dic3—28no—
243C2×D3×Dic3C2312yes—
244C2×D3×Dic3C2312yes—
245C2×D3×Dic3C2311yescharacteristic
246C2×D3×Dic3C2311yescharacteristic
247C2×D3×Dic3C2312yes—
248C2×D3×Dic3C2312yes—
249D3×D12—24no—
250C4×D32—24no—
251#3799—24no—
252#3798—24no—
253#3796D418yescomplemented
254#3795—24no—
255D3×Dic6—24no—
256C32×C42C2311yescharacteristic
257#3757C2312yes—
258#3757C2312yes—
259#3752C2311yescharacteristic
260#3752C2311yescharacteristic
261#3752C2312yes—
262#3752C2312yes—
263#3750C2311yescharacteristic
264#3750C2311yescharacteristic
265C4×C3⋊Dic3C2311yescharacteristic
266C3×#217C2312yes—
267C3×#217C2312yes—
268C3×#217C2312yes—
269C3×#217C2312yes—
270C3×(C2×D3)⋊C4C2311yescharacteristic
271C3×(C2×D3)⋊C4C2312yes—
272C3×(C2×D3)⋊C4C2311yescharacteristic
273C3×(C2×D3)⋊C4C2311yescharacteristic
274C3×(C2×D3)⋊C4C2311yescharacteristic
275C3×C4⋊Dic3C2311yescharacteristic
276C3×C4⋊Dic3C2311yescharacteristic
277C3×C4⋊Dic3C2311yescharacteristic
278C3×C4⋊Dic3C2311yescharacteristic
279C3×Dic3⋊C4C2312yes—
280C3×C4×Dic3C2312yes—
281#3724C2311yescharacteristic
282#3724C2311yescharacteristic
283#3724C2312yes—
284Dic3⋊Dic3C2312yes—
285Dic3⋊Dic3C2312yes—
286Dic3⋊Dic3C2312yes—
287#3722C2312yes—
288#3722C2312yes—
289(C2×D3)⋊Dic3C2312yes—
290(C2×D3)⋊Dic3C2311yescharacteristic
291(C2×D3)⋊Dic3C2311yescharacteristic
292(C2×D3)⋊Dic3C2312yes—
293(C2×D3)⋊Dic3C2312yes—
294(C2×D3)⋊Dic3C2311yescharacteristic
295(C2×D3)⋊Dic3C2311yescharacteristic
296Dic32C2312yes—
297#3488—91noSylow
298C2×C3×#41—31no—
299C2×C3×#41—31no—
300C22×C3×D4—31no—
301C22×C3×D4—31no—
302C22×C3×D4—32no—
303C22×#67—32no—
304C22×#67—32no—
305C22×#67—32no—
306C22×#67—32no—
307C23×Dic3—32no—
308#1009—68no—
309D3×#41—68no—
310C2×#239—31no—
311C2×#239—31no—
312C2×D3×Q8—31no—
313#1004—68no—
314C2×#237—31no—
315C2×#237—31no—
316C2×#237—32no—
317C2×#237—32no—
318C2×#237—32no—
319C2×#237—32no—
320C2×#237—31no—
321C2×#237—31no—
322C2×#237—61no—
323C2×#237—68no—
324C2×#237C2×D311yescharacteristic, complemented
325C2×#237C2×D311yescharacteristic, complemented
326C2×D3×D4—32no—
327C2×D3×D4—32no—
328C2×D3×D4—31no—
329C2×D3×D4—31no—
330C2×D3×D4—32no—
331C2×D3×D4—32no—
332C2×D3×D4—32no—
333C2×D3×D4—32no—
334C2×D3×D4—32no—
335C2×D3×D4—31no—
336C2×D3×D4—61no—
337C2×D3×D4C2×D311yescharacteristic, complemented
338C2×D3×D4C2×D311yescharacteristic, complemented
339C2×D3×D4C2×D312yescomplemented
340C2×#235—32no—
341C2×#235—32no—
342C2×#235—31no—
343C2×#235—31no—
344C2×#235—31no—
345C2×#235—31no—
346C22×D12—32no—
347C22×D12—31no—
348C22×C4×D3—32no—
349C22×C4×D3—31no—
350C22×C4×D3—31no—
351C22×Dic6—31no—
352C3×#127—21no—
353C3×#127—32no—
354C3×#127C2×D311yescharacteristic, complemented
355C3×#127C2×D311yescharacteristic, complemented
356C3×#121—32no—
357C3×#121—31no—
358C3×#121—31no—
359C3×#121—31no—
360C3×#121—31no—
361C3×#121—32no—
362C3×#121—32no—
363C3×#120—32no—
364C3×#120—32no—
365C3×C4×Q8—31no—
366C3×C4×D4—32no—
367C3×C4×D4—31no—
368C3×C4×D4—31no—
369C3×C4×D4—31no—
370#953—32no—
371#953—32no—
372C2×#217—32no—
373Q8×Dic3—31no—
374#940—31no—
375#940—31no—
376#940—32no—
377#940—32no—
378#940—61no—
379#940C2×D312yescomplemented
380#939—32no—
381#939—32no—
382#939—32no—
383#939—32no—
384#939—32no—
385#939—32no—
386#939—32no—
387#939—32no—
388#939—32no—
389#939—32no—
390#939—32no—
391#939—32no—
392#939—31no—
393#939—31no—
394#939—32no—
395#939—62no—
396#939—62no—
397#939C2×D312yescomplemented
398#939C2×D312yescomplemented
399#938—32no—
400#938—32no—
401#938—32no—
402#938—32no—
403#938—32no—
404#938C2×D311yescharacteristic, complemented
405#938C2×D311yescharacteristic, complemented
406#938C2×D312yescomplemented
407#938C2×D311yescharacteristic, complemented
408#938C2×D311yescharacteristic, complemented
409#937—32no—
410#937—32no—
411#937—32no—
412#937—32no—
413#937—32no—
414#937—32no—
415#937—32no—
416#937—32no—
417#937—31no—
418#937—31no—
419#937—62no—
420#937—62no—
421#937C2×D312yescomplemented
422#937C2×D312yescomplemented
423#936—31no—
424#936—31no—
425#936—32no—
426#936—61no—
427#935—32no—
428D4×Dic3—32no—
429D4×Dic3—31no—
430D4×Dic3C2×D312yescomplemented
431#930—32no—
432#930—32no—
433#930—31no—
434#930—31no—
435C4×#67—32no—
436C4×#67—31no—
437C4×#67—31no—
438C4×#67—31no—
439C4×#67—31no—
440C4×#67—32no—
441C4×#67—32no—
442C2×(C2×D3)⋊C4—32no—
443#924—32no—
444#924—31no—
445#924—31no—
446C2×Dic3⋊C4—32no—
447#897—31no—
448#897—31no—
449#897—32no—
450#896—31no—
451#896—31no—
452#896—32no—
453#895—32no—
454#895—31no—
455#895—31no—
456#894—31no—
457#894—31no—
458#894—32no—
459#893—31no—
460#893—32no—
461D3×C4⋊C4—32no—
462D3×C4⋊C4—31no—
463D3×C4⋊C4—31no—
464#887—31no—
465#886—32no—
466#885—32no—
467#885—32no—
468#884—32no—
469#884—32no—
470#884—32no—
471#884—32no—
472#884—32no—
473#884—32no—
474#884—31no—
475#884—31no—
476#884—32no—
477#883—32no—
478#883—31no—
479#883—31no—
480#882—32no—
481#882—31no—
482#882—31no—
483#882—32no—
484#67⋊C4—32no—
485#67⋊C4—32no—
486#67⋊C4—32no—
487D3×C22⋊C4—32no—
488D3×C22⋊C4—32no—
489D3×C22⋊C4—32no—
490D3×C22⋊C4—32no—
491#878—32no—
492#878—32no—
493#878—32no—
494#878—31no—
495#878—31no—
496#877—32no—
497#875—31no—
498#875—31no—
499#875—32no—
500#875—61no—
501C4×D12—32no—
502C4×D12—32no—
503C4×D12C2×D311yescharacteristic, complemented
504C4×D12C2×D311yescharacteristic, complemented
505C4×D12C2×D311yescharacteristic, complemented
506#872—31no—
507#872—31no—
508#872—32no—
509#872—61no—
510C4×Dic6C2×D311yescharacteristic, complemented
511C23×C32C2412yes—
512C23×C32C2412yes—
513C22×C3⋊D3—24no—
514C22×C3⋊D3—42no—
515C22×C3⋊D3—42no—
516C22×C3⋊D3C2412yes—
517C22×C3⋊D3C2411yescharacteristic
518C22×C3×D3—24no—
519C22×C3×D3—24no—
520C22×C3×D3—24no—
521C22×C3×D3—42no—
522C22×C3×D3—42no—
523C22×C3×D3—42no—
524C22×C3×D3C2411yescharacteristic
525C22×C3×D3C2411yescharacteristic
526C22×C3×D3C2411yescharacteristic
527C22×C3×D3C2412yes—
528C22×C3×D3C2411yescharacteristic
529C2×D32—22no—
530C2×D32—22no—
531C2×D32—24no—
532C2×D32—41no—
533C2×D32—42no—
534C2×D32—42no—
535C32×D4—22no—
536C32×D4—22no—
537C32×D4—42no—
538C32×D4—42no—
539C2×C32×C4C2411yescharacteristic
540C2×C32×C4C2411yescharacteristic
541C2×C32×C4C2411yescharacteristic
542#638—24no—
543#638—24no—
544#638—42no—
545#638—42no—
546C2×C3⋊Dic3—24no—
547C2×C3⋊Dic3C2411yescharacteristic
548C2×C3⋊Dic3C2411yescharacteristic
549C2×C3⋊Dic3C2412yes—
550C2×C3⋊Dic3C2411yescharacteristic
551C4⋊(C3⋊D3)—22no—
552C4×C3⋊D3C2×D414yescomplemented
553#634—22no—
554C3×#67—24no—
555C3×#67—24no—
556C3×#67—24no—
557C3×#67—24no—
558C3×#67—24no—
559C3×#67—42no—
560C3×#67—42no—
561C3×#67—42no—
562C2×C3×Dic3—24no—
563C2×C3×Dic3—24no—
564C2×C3×Dic3C2412yes—
565C2×C3×Dic3C2412yes—
566C2×C3×Dic3C2411yescharacteristic
567C2×C3×Dic3C2411yescharacteristic
568C2×C3×Dic3C2411yescharacteristic
569C2×C3×Dic3C2411yescharacteristic
570C2×C3×Dic3C2412yes—
571C3×D12—22no—
572C3×D12—41no—
573C3×D12C2×D414yescomplemented
574C3×C4×D3—22no—
575C3×C4×D3—22no—
576C3×C4×D3—22no—
577C3×C4×D3—22no—
578C3×C4×D3—42no—
579C3×Dic6C2×D414yescomplemented
580#627—22no—
581#627—24no—
582#626—22no—
583#626—22no—
584#626—24no—
585#626—24no—
586#626—24no—
587#626—42no—
588#626C2×D418yescomplemented
589#625—24no—
590#625—22no—
591#625—22no—
592#625—41no—
593#624—22no—
594#624—24no—
595#624—42no—
596D3×Dic3—24no—
597D3×Dic3—22no—
598D3×Dic3—22no—
599D3×Dic3—24no—
600D3×Dic3—42no—
601D3×Dic3C2×D418yescomplemented
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—31no—
605#550—91no—
606#548—91no—
607#548—91no—
608#546—91no—
609#546—92no—
610#546—92no—
611#546—91no—
612D42—31no—
613D42—92no—
614D42—92no—
615D42—91no—
616#537—92no—
617#537—91no—
618#535—92no—
619#535—91no—
620#525—91no—
621#525—92no—
622C2×#121—91no—
623C2×#121—92no—
624#520—91no—
625C24×C3—32no—
626C24×C3—32no—
627C23×D3—32no—
628C23×D3—32no—
629C23×D3—31no—
630C23×D3—31no—
631C23×D3—32no—
632C23×D3—32no—
633C23×D3—62no—
634C23×D3C22×D312yes—
635C23×D3C22×D312yes—
636C3×#41—64no—
637C3×#41—64no—
638C2×C3×Q8—31no—
639C2×C3×D4—21no—
640C2×C3×D4—21no—
641C2×C3×D4—22no—
642C2×C3×D4—22no—
643C2×C3×D4—32no—
644C2×C3×D4—32no—
645C2×C3×D4—32no—
646C2×C3×D4—32no—
647C2×C3×D4—32no—
648C2×C3×D4—32no—
649C2×C3×D4—32no—
650C2×C3×D4—32no—
651C2×C3×D4—31no—
652C2×C3×D4—31no—
653C2×C3×D4—31no—
654C2×C3×D4—64no—
655C2×C3×D4—64no—
656C2×C3×D4—124no—
657C2×C3×D4C22×D311yescharacteristic
658C2×C3×D4C22×D311yescharacteristic
659C2×C3×D4C22×D311yescharacteristic
660C2×C3×D4C22×D311yescharacteristic
661C2×C3×D4C22×D312yes—
662C2×C3×D4C22×D312yes—
663C2×C3×D4C22×D312yes—
664C2×C3×D4C22×D312yes—
665C22×C3×C4—32no—
666C22×C3×C4—32no—
667C22×C3×C4—31no—
668C22×C3×C4—31no—
669C22×C3×C4—31no—
670C22×C3×C4—31no—
671C22×C3×C4—32no—
672C2×#67—32no—
673C2×#67—32no—
674C2×#67—32no—
675C2×#67—32no—
676C2×#67—31no—
677C2×#67—32no—
678C2×#67—31no—
679C2×#67—32no—
680C2×#67—31no—
681C2×#67—31no—
682C2×#67—32no—
683C2×#67—32no—
684C2×#67—32no—
685C2×#67—32no—
686C2×#67—31no—
687C2×#67—31no—
688C2×#67—32no—
689C2×#67—32no—
690C2×#67—31no—
691C2×#67—31no—
692C2×#67—32no—
693C2×#67—32no—
694C2×#67—32no—
695C2×#67—62no—
696C2×#67—62no—
697C2×#67—62no—
698C2×#67—62no—
699C2×#67—68no—
700C2×#67—68no—
701C2×#67—68no—
702C2×#67—124no—
703C2×#67C22×D312yes—
704C2×#67C22×D312yes—
705C2×#67C22×D312yes—
706C2×#67C22×D312yes—
707C2×#67C22×D312yes—
708C2×#67C22×D312yes—
709C2×#67C22×D312yes—
710C2×#67C22×D312yes—
711C22×Dic3—32no—
712C22×Dic3—32no—
713C22×Dic3—32no—
714C22×Dic3—31no—
715C22×Dic3—31no—
716C22×Dic3—32no—
717C22×Dic3—32no—
718C22×Dic3—32no—
719C22×Dic3—62no—
720C22×Dic3—68no—
721C22×Dic3C22×D312yes—
722C22×Dic3C22×D312yes—
723#239—38no—
724#239—64no—
725D3×Q8—64no—
726#237—24no—
727#237—24no—
728#237—38no—
729#237—64no—
730#237—68no—
731#237—64no—
732#237—64no—
733#237—68no—
734#237—68no—
735#237—68no—
736#237—124no—
737D3×D4—24no—
738D3×D4—24no—
739D3×D4—44no—
740D3×D4—64no—
741D3×D4—64no—
742D3×D4—64no—
743D3×D4—68no—
744D3×D4—68no—
745D3×D4—68no—
746D3×D4—68no—
747D3×D4—124no—
748D3×D4—124no—
749D3×D4—124no—
750D3×D4—124no—
751#235—64no—
752#235—64no—
753#235—68no—
754#235—68no—
755#235—64no—
756#235—64no—
757C2×D12—32no—
758C2×D12—32no—
759C2×D12—32no—
760C2×D12—31no—
761C2×D12—32no—
762C2×D12—31no—
763C2×D12—31no—
764C2×D12—31no—
765C2×D12—32no—
766C2×D12—61no—
767C2×D12—68no—
768C2×D12—64no—
769C2×D12C22×D311yescharacteristic
770C2×D12C22×D311yescharacteristic
771C2×D12C22×D311yescharacteristic
772C2×C4×D3—32no—
773C2×C4×D3—31no—
774C2×C4×D3—31no—
775C2×C4×D3—32no—
776C2×C4×D3—32no—
777C2×C4×D3—31no—
778C2×C4×D3—31no—
779C2×C4×D3—32no—
780C2×C4×D3—31no—
781C2×C4×D3—31no—
782C2×C4×D3—32no—
783C2×C4×D3—32no—
784C2×C4×D3—32no—
785C2×C4×D3—32no—
786C2×C4×D3—61no—
787C2×C4×D3—64no—
788C2×C4×D3—64no—
789C2×C4×D3—68no—
790C2×C4×D3C22×D311yescharacteristic
791C2×C4×D3C22×D311yescharacteristic
792C2×C4×D3C22×D311yescharacteristic
793C2×C4×D3C22×D311yescharacteristic
794C2×C4×D3C22×D312yes—
795C2×Dic6—31no—
796C2×Dic6—31no—
797C2×Dic6—32no—
798C2×Dic6—31no—
799C2×Dic6—31no—
800C2×Dic6—32no—
801C2×Dic6—61no—
802C2×Dic6—64no—
803C2×Dic6C22×D311yescharacteristic
804C3×C4⋊C4—31no—
805C3×C4⋊C4—32no—
806C3×C4⋊C4—31no—
807C3×C4⋊C4—31no—
808C3×C4⋊C4—31no—
809C3×C22⋊C4—32no—
810C3×C22⋊C4—32no—
811C3×C22⋊C4—32no—
812C3×C22⋊C4—32no—
813C3×C22⋊C4—32no—
814C3×C22⋊C4—31no—
815C3×C22⋊C4—31no—
816C3×C22⋊C4—31no—
817C3×C22⋊C4—31no—
818C3×C42—21no—
819C3×C42—32no—
820C3×C42C22×D311yescharacteristic
821C3×C42C22×D311yescharacteristic
822#217—32no—
823#217—32no—
824#217—32no—
825#217—32no—
826#217—32no—
827#217—31no—
828#217—31no—
829#217—32no—
830#217—31no—
831#217—31no—
832#217—32no—
833#217—62no—
834#217—62no—
835#217C22×D312yes—
836#217C22×D312yes—
837#217C22×D312yes—
838#217C22×D312yes—
839(C2×D3)⋊C4—32no—
840(C2×D3)⋊C4—32no—
841(C2×D3)⋊C4—31no—
842(C2×D3)⋊C4—31no—
843(C2×D3)⋊C4—31no—
844(C2×D3)⋊C4—32no—
845(C2×D3)⋊C4—31no—
846(C2×D3)⋊C4—31no—
847(C2×D3)⋊C4—31no—
848(C2×D3)⋊C4—31no—
849(C2×D3)⋊C4—31no—
850(C2×D3)⋊C4—32no—
851(C2×D3)⋊C4—32no—
852(C2×D3)⋊C4—32no—
853(C2×D3)⋊C4—32no—
854(C2×D3)⋊C4—32no—
855(C2×D3)⋊C4—32no—
856(C2×D3)⋊C4—32no—
857(C2×D3)⋊C4—32no—
858(C2×D3)⋊C4—61no—
859(C2×D3)⋊C4—61no—
860(C2×D3)⋊C4—62no—
861(C2×D3)⋊C4—62no—
862(C2×D3)⋊C4C22×D312yes—
863(C2×D3)⋊C4C22×D311yescharacteristic
864(C2×D3)⋊C4C22×D311yescharacteristic
865(C2×D3)⋊C4C22×D311yescharacteristic
866(C2×D3)⋊C4C22×D311yescharacteristic
867C4⋊Dic3—32no—
868C4⋊Dic3—32no—
869C4⋊Dic3—32no—
870C4⋊Dic3C22×D311yescharacteristic
871C4⋊Dic3C22×D311yescharacteristic
872C4⋊Dic3C22×D311yescharacteristic
873C4⋊Dic3C22×D311yescharacteristic
874Dic3⋊C4—31no—
875Dic3⋊C4—31no—
876Dic3⋊C4—31no—
877Dic3⋊C4—31no—
878Dic3⋊C4—32no—
879Dic3⋊C4—32no—
880Dic3⋊C4—31no—
881Dic3⋊C4—31no—
882Dic3⋊C4—32no—
883Dic3⋊C4—32no—
884Dic3⋊C4—32no—
885Dic3⋊C4—31no—
886Dic3⋊C4—31no—
887Dic3⋊C4—61no—
888Dic3⋊C4—61no—
889Dic3⋊C4C22×D312yes—
890C4×Dic3—31no—
891C4×Dic3—31no—
892C4×Dic3—32no—
893C4×Dic3—32no—
894C4×Dic3—61no—
895C4×Dic3C22×D312yes—
896C22×C32—22no—
897C22×C32—22no—
898C22×C32—22no—
899C22×C32—22no—
900C22×C32—22no—
901C22×C32—22no—
902C22×C32C2511yescharacteristic
903C2×C3⋊D3—21no—
904C2×C3⋊D3—21no—
905C2×C3⋊D3—22no—
906C2×C3⋊D3—22no—
907C2×C3⋊D3—22no—
908C2×C3⋊D3—84no—
909C2×C3⋊D3C22×D412yes—
910C2×C3×D3—21no—
911C2×C3×D3—22no—
912C2×C3×D3—21no—
913C2×C3×D3—22no—
914C2×C3×D3—21no—
915C2×C3×D3—21no—
916C2×C3×D3—21no—
917C2×C3×D3—21no—
918C2×C3×D3—21no—
919C2×C3×D3—21no—
920C2×C3×D3—21no—
921C2×C3×D3—21no—
922C2×C3×D3—21no—
923C2×C3×D3—48no—
924C2×C3×D3—84no—
925C2×C3×D3C22×D414yes—
926C2×C3×D3H(5,𝔽2)12yescomplemented
927D32—44no—
928D32—84no—
929C32×C4—21no—
930C32×C4—21no—
931C32×C4C22×D412yes—
932C3⋊Dic3—22no—
933C3⋊Dic3—21no—
934C3⋊Dic3—21no—
935C3⋊Dic3C22×D412yes—
936C3×Dic3—21no—
937C3×Dic3—21no—
938C3×Dic3—21no—
939C3×Dic3—21no—
940C3×Dic3—22no—
941C3×Dic3—22no—
942C3×Dic3C22×D414yes—
943H(5,𝔽2)—188no—
944C2×#41—31no—
945C2×#41—31no—
946C2×#41—91no—
947C2×#41—92no—
948C2×#41—92no—
949C2×#41—91no—
950C2×#41—91no—
951C2×#41—92no—
952C2×#41—91no—
953C2×#41—91no—
954C2×#41—188no—
955C22×Q8—91no—
956C22×D4—31no—
957C22×D4—31no—
958C22×D4—32no—
959C22×D4—91no—
960C22×D4—92no—
961C22×D4—92no—
962C22×D4—92no—
963C22×D4—92no—
964C22×D4—92no—
965C22×D4—92no—
966C22×D4—91no—
967C23×C4—91no—
968C23×C4—92no—
969#127—32no—
970#127—92no—
971#127—91no—
972#127D3211yescharacteristic, complemented
973#124—92no—
974#124—92no—
975#124—91no—
976#124—91no—
977#123—91no—
978#123—91no—
979#123—92no—
980#123—92no—
981C22⋊Q8—92no—
982C22⋊Q8—91no—
983C22⋊Q8—91no—
984C22⋊Q8—92no—
985C22⋊Q8—92no—
986C22⋊Q8—91no—
987C22⋊Q8—91no—
988#121—31no—
989#121—31no—
990#121—32no—
991#121—32no—
992#121—31no—
993#121—31no—
994#121—32no—
995#121—92no—
996#121—92no—
997#121—91no—
998#121—92no—
999#121—91no—
1000#121—92no—
1001#121—92no—
1002#121—92no—
1003#121—92no—
1004#121—91no—
1005#121—91no—
1006#121—92no—
1007#121—92no—
1008#121—92no—
1009#121—92no—
1010#121—92no—
1011#121—92no—
1012#121—92no—
1013#120—32no—
1014#120—32no—
1015#120—91no—
1016#120—91no—
1017#120—92no—
1018#120—92no—
1019#120—92no—
1020#120—92no—
1021#120—92no—
1022#120—92no—
1023C4×Q8—31no—
1024C4×Q8—91no—
1025C4×D4—32no—
1026C4×D4—31no—
1027C4×D4—31no—
1028C4×D4—31no—
1029C4×D4—92no—
1030C4×D4—92no—
1031C4×D4—92no—
1032C4×D4—92no—
1033C4×D4—91no—
1034C4×D4—91no—
1035C4×D4—91no—
1036C4×D4—92no—
1037#117—92no—
1038#117—91no—
1039C2×C4⋊C4—91no—
1040C2×C4⋊C4—92no—
1041C2×C22⋊C4—92no—
1042C2×C22⋊C4—92no—
1043C2×C22⋊C4—92no—
1044C23×C3—22no—
1045C23×C3—22no—
1046C23×C3—32no—
1047C23×C3—31no—
1048C23×C3—31no—
1049C23×C3—31no—
1050C23×C3—31no—
1051C23×C3—64no—
1052C23×C3—64no—
1053C23×C3—64no—
1054C23×C3—122no—
1055C23×C3—122no—
1056C23×C3—122no—
1057C23×C3C23×D312yes—
1058C23×C3C23×D312yes—
1059C23×C3C23×D312yes—
1060C23×C3C23×D312yes—
1061C22×D3—24no—
1062C22×D3—24no—
1063C22×D3—24no—
1064C22×D3—31no—
1065C22×D3—31no—
1066C22×D3—32no—
1067C22×D3—32no—
1068C22×D3—42no—
1069C22×D3—42no—
1070C22×D3—42no—
1071C22×D3—61no—
1072C22×D3—62no—
1073C22×D3—62no—
1074C22×D3—62no—
1075C22×D3—62no—
1076C22×D3—64no—
1077C22×D3—64no—
1078C22×D3—64no—
1079C22×D3—62no—
1080C22×D3—64no—
1081C22×D3—124no—
1082C22×D3—121no—
1083C22×D3—121no—
1084C22×D3—122no—
1085C22×D3—122no—
1086C22×D3—122no—
1087C22×D3—122no—
1088C22×D3—122no—
1089C22×D3—122no—
1090C22×D3—122no—
1091C22×D3—122no—
1092C22×D3—242no—
1093C22×D3—242no—
1094C22×D3C23×D311yescharacteristic
1095C22×D3C23×D311yescharacteristic
1096C22×D3C23×D311yescharacteristic
1097C22×D3C23×D312yes—
1098C22×D3C23×D311yescharacteristic
1099C3×Q8—34no—
1100C3×D4—22no—
1101C3×D4—22no—
1102C3×D4—22no—
1103C3×D4—22no—
1104C3×D4—34no—
1105C3×D4—42no—
1106C3×D4—42no—
1107C3×D4—42no—
1108C3×D4—42no—
1109C3×D4—42no—
1110C3×D4—42no—
1111C3×D4—62no—
1112C3×D4—64no—
1113C3×D4—64no—
1114C3×D4—64no—
1115C3×D4—64no—
1116C3×D4—64no—
1117C3×D4—82no—
1118C3×D4—82no—
1119C3×D4—121no—
1120C3×D4—122no—
1121C3×D4—122no—
1122C3×D4—122no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—32no—
1127C2×C3×C4—32no—
1128C2×C3×C4—31no—
1129C2×C3×C4—31no—
1130C2×C3×C4—32no—
1131C2×C3×C4—31no—
1132C2×C3×C4—31no—
1133C2×C3×C4—64no—
1134C2×C3×C4—64no—
1135C2×C3×C4—62no—
1136C2×C3×C4—62no—
1137C2×C3×C4—62no—
1138C2×C3×C4—62no—
1139C2×C3×C4—122no—
1140C2×C3×C4C23×D311yescharacteristic
1141C2×C3×C4C23×D311yescharacteristic
1142C2×C3×C4C23×D311yescharacteristic
1143C2×C3×C4C23×D311yescharacteristic
1144C2×C3×C4C23×D311yescharacteristic
1145C2×C3×C4C23×D311yescharacteristic
1146#67—24no—
1147#67—24no—
1148#67—24no—
1149#67—24no—
1150#67—24no—
1151#67—38no—
1152#67—42no—
1153#67—42no—
1154#67—42no—
1155#67—62no—
1156#67—62no—
1157#67—64no—
1158#67—64no—
1159#67—62no—
1160#67—62no—
1161#67—64no—
1162#67—64no—
1163#67—64no—
1164#67—62no—
1165#67—64no—
1166#67—64no—
1167#67—64no—
1168#67—62no—
1169#67—64no—
1170#67—124no—
1171#67—124no—
1172#67—122no—
1173#67—121no—
1174#67—121no—
1175#67—122no—
1176#67—122no—
1177#67—122no—
1178#67—122no—
1179#67—242no—
1180#67—242no—
1181C2×Dic3—24no—
1182C2×Dic3—24no—
1183C2×Dic3—31no—
1184C2×Dic3—31no—
1185C2×Dic3—38no—
1186C2×Dic3—31no—
1187C2×Dic3—31no—
1188C2×Dic3—31no—
1189C2×Dic3—31no—
1190C2×Dic3—32no—
1191C2×Dic3—32no—
1192C2×Dic3—61no—
1193C2×Dic3—61no—
1194C2×Dic3—61no—
1195C2×Dic3—62no—
1196C2×Dic3—62no—
1197C2×Dic3—62no—
1198C2×Dic3—64no—
1199C2×Dic3—64no—
1200C2×Dic3—64no—
1201C2×Dic3—64no—
1202C2×Dic3—124no—
1203C2×Dic3—122no—
1204C2×Dic3C23×D312yes—
1205C2×Dic3C23×D312yes—
1206C2×Dic3C23×D311yescharacteristic
1207C2×Dic3C23×D311yescharacteristic
1208C2×Dic3C23×D311yescharacteristic
1209C2×Dic3C23×D311yescharacteristic
1210C2×Dic3C23×D312yes—
1211D12—22no—
1212D12—38no—
1213D12—41no—
1214D12—64no—
1215D12—62no—
1216D12—62no—
1217D12—64no—
1218D12—64no—
1219D12—62no—
1220D12—62no—
1221D12—122no—
1222D12—122no—
1223D12D3×D414yescomplemented
1224C4×D3—22no—
1225C4×D3—22no—
1226C4×D3—22no—
1227C4×D3—22no—
1228C4×D3—38no—
1229C4×D3—34no—
1230C4×D3—34no—
1231C4×D3—42no—
1232C4×D3—64no—
1233C4×D3—64no—
1234C4×D3—62no—
1235C4×D3—62no—
1236C4×D3—62no—
1237C4×D3—62no—
1238C4×D3—64no—
1239C4×D3—64no—
1240C4×D3—64no—
1241C4×D3—122no—
1242C4×D3—122no—
1243C4×D3—122no—
1244Dic6—62no—
1245Dic6—62no—
1246Dic6—64no—
1247Dic6—62no—
1248Dic6—62no—
1249Dic6—64no—
1250Dic6—122no—
1251Dic6D3×D414yescomplemented
1252C2×C32—42no—
1253C2×C32—42no—
1254C2×C32C23×D411yescharacteristic
1255C2×C32C2×H(5,𝔽2)11yescharacteristic
1256C2×C32#58511yescharacteristic
1257C3⋊D3—22no—
1258C3⋊D3—42no—
1259C3×D3—22no—
1260C3×D3—24no—
1261C3×D3—41no—
1262C3×D3—41no—
1263C3×D3—41no—
1264C24—32no—
1265C24—32no—
1266C24—91no—
1267C24—92no—
1268C24—92no—
1269#41—64no—
1270#41—64no—
1271#41—98no—
1272#41—184no—
1273#41—188no—
1274#41—184no—
1275#41—188no—
1276#41—184no—
1277#41—184no—
1278#41—188no—
1279C2×Q8—31no—
1280C2×Q8—91no—
1281C2×Q8—92no—
1282C2×Q8—91no—
1283C2×Q8—184no—
1284C2×D4—32no—
1285C2×D4—32no—
1286C2×D4—32no—
1287C2×D4—32no—
1288C2×D4—32no—
1289C2×D4—32no—
1290C2×D4—32no—
1291C2×D4—32no—
1292C2×D4—31no—
1293C2×D4—31no—
1294C2×D4—31no—
1295C2×D4—64no—
1296C2×D4—64no—
1297C2×D4—92no—
1298C2×D4—92no—
1299C2×D4—92no—
1300C2×D4—91no—
1301C2×D4—91no—
1302C2×D4—92no—
1303C2×D4—92no—
1304C2×D4—91no—
1305C2×D4—92no—
1306C2×D4—91no—
1307C2×D4—92no—
1308C2×D4—92no—
1309C2×D4—91no—
1310C2×D4—92no—
1311C2×D4—92no—
1312C2×D4—91no—
1313C2×D4—124no—
1314C2×D4—184no—
1315C2×D4—188no—
1316C2×D4—184no—
1317C2×D4—188no—
1318C2×D4—188no—
1319C2×D4—188no—
1320C2×D4—364no—
1321C2×D4—364no—
1322C2×D4C2×D3211yescharacteristic
1323C2×D4C2×D3211yescharacteristic
1324C2×D4C2×D3212yes—
1325C2×D4C2×D3212yes—
1326C22×C4—32no—
1327C22×C4—32no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—31no—
1332C22×C4—32no—
1333C22×C4—91no—
1334C22×C4—92no—
1335C22×C4—92no—
1336C22×C4—92no—
1337C22×C4—92no—
1338C22×C4—92no—
1339C22×C4—91no—
1340C22×C4—91no—
1341C22×C4—92no—
1342C22×C4—91no—
1343C22×C4—92no—
1344C22×C4—184no—
1345C22×C4—188no—
1346C4⋊C4—31no—
1347C4⋊C4—32no—
1348C4⋊C4—31no—
1349C4⋊C4—31no—
1350C4⋊C4—31no—
1351C4⋊C4—92no—
1352C4⋊C4—92no—
1353C4⋊C4—91no—
1354C4⋊C4—91no—
1355C4⋊C4—92no—
1356C4⋊C4—92no—
1357C4⋊C4—91no—
1358C4⋊C4—91no—
1359C22⋊C4—32no—
1360C22⋊C4—32no—
1361C22⋊C4—32no—
1362C22⋊C4—32no—
1363C22⋊C4—31no—
1364C22⋊C4—32no—
1365C22⋊C4—31no—
1366C22⋊C4—31no—
1367C22⋊C4—31no—
1368C22⋊C4—92no—
1369C22⋊C4—92no—
1370C22⋊C4—91no—
1371C22⋊C4—92no—
1372C22⋊C4—92no—
1373C22⋊C4—92no—
1374C22⋊C4—91no—
1375C22⋊C4—91no—
1376C22⋊C4—91no—
1377C22⋊C4—92no—
1378C22⋊C4—92no—
1379C22⋊C4—92no—
1380C22⋊C4—91no—
1381C22⋊C4—91no—
1382C22⋊C4—92no—
1383C42—32no—
1384C42—92no—
1385C42—91no—
1386C42C2×D3211yescharacteristic
1387C22×C3—22no—
1388C22×C3—22no—
1389C22×C3—22no—
1390C22×C3—22no—
1391C22×C3—22no—
1392C22×C3—22no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—22no—
1396C22×C3—22no—
1397C22×C3—22no—
1398C22×C3—22no—
1399C22×C3—21no—
1400C22×C3—34no—
1401C22×C3—32no—
1402C22×C3—42no—
1403C22×C3—42no—
1404C22×C3—42no—
1405C22×C3—42no—
1406C22×C3—42no—
1407C22×C3—42no—
1408C22×C3—61no—
1409C22×C3—61no—
1410C22×C3—62no—
1411C22×C3—62no—
1412C22×C3—61no—
1413C22×C3—61no—
1414C22×C3—61no—
1415C22×C3—61no—
1416C22×C3—61no—
1417C22×C3—61no—
1418C22×C3—61no—
1419C22×C3—61no—
1420C22×C3—61no—
1421C22×C3—128no—
1422C22×C3—244no—
1423C22×C3C24×D311yescharacteristic
1424C22×C3C24×D311yescharacteristic
1425C2×D3—21no—
1426C2×D3—22no—
1427C2×D3—21no—
1428C2×D3—22no—
1429C2×D3—21no—
1430C2×D3—21no—
1431C2×D3—21no—
1432C2×D3—21no—
1433C2×D3—21no—
1434C2×D3—21no—
1435C2×D3—21no—
1436C2×D3—21no—
1437C2×D3—21no—
1438C2×D3—32no—
1439C2×D3—32no—
1440C2×D3—48no—
1441C2×D3—62no—
1442C2×D3—61no—
1443C2×D3—61no—
1444C2×D3—61no—
1445C2×D3—61no—
1446C2×D3—62no—
1447C2×D3—62no—
1448C2×D3—62no—
1449C2×D3—62no—
1450C2×D3—62no—
1451C2×D3—62no—
1452C2×D3—84no—
1453C2×D3—121no—
1454C2×D3—121no—
1455C2×D3—122no—
1456C2×D3—122no—
1457C2×D3—122no—
1458C2×D3—124no—
1459C2×D3—124no—
1460C2×D3—244no—
1461C2×D3—244no—
1462C2×D3—244no—
1463C2×D3—244no—
1464C2×D3—248no—
1465C2×D3C2×D3×D414yes—
1466C2×D3#100412yescomplemented
1467C3×C4—21no—
1468C3×C4—21no—
1469C3×C4—21no—
1470C3×C4—21no—
1471C3×C4—22no—
1472C3×C4—34no—
1473C3×C4—41no—
1474C3×C4—41no—
1475C3×C4—61no—
1476C3×C4—61no—
1477C3×C4—61no—
1478C3×C4—61no—
1479C3×C4—62no—
1480C3×C4—62no—
1481C3×C4C2×D3×D412yes—
1482C3×C4C2×D3×D412yes—
1483Dic3—21no—
1484Dic3—21no—
1485Dic3—21no—
1486Dic3—21no—
1487Dic3—22no—
1488Dic3—22no—
1489Dic3—32no—
1490Dic3—32no—
1491Dic3—62no—
1492Dic3—62no—
1493Dic3—62no—
1494Dic3—61no—
1495Dic3—61no—
1496Dic3—61no—
1497Dic3—61no—
1498Dic3—122no—
1499Dic3—121no—
1500Dic3—121no—
1501Dic3C2×D3×D414yes—
1502C32#348811yescharacteristic, complemented, Sylow
1503C23—32no—
1504C23—31no—
1505C23—31no—
1506C23—31no—
1507C23—31no—
1508C23—64no—
1509C23—64no—
1510C23—64no—
1511C23—91no—
1512C23—92no—
1513C23—122no—
1514C23—122no—
1515C23—122no—
1516C23—184no—
1517C23—182no—
1518C23—184no—
1519C23—182no—
1520C23—362no—
1521C23—362no—
1522C23—361no—
1523C23—362no—
1524C23—362no—
1525C23C22×D3212yes—
1526C23C22×D3212yes—
1527Q8—34no—
1528Q8—184no—
1529Q8—182no—
1530Q8—182no—
1531D4—22no—
1532D4—22no—
1533D4—34no—
1534D4—42no—
1535D4—42no—
1536D4—62no—
1537D4—64no—
1538D4—64no—
1539D4—64no—
1540D4—64no—
1541D4—64no—
1542D4—98no—
1543D4—121no—
1544D4—122no—
1545D4—122no—
1546D4—122no—
1547D4—184no—
1548D4—184no—
1549D4—184no—
1550D4—182no—
1551D4—182no—
1552D4—184no—
1553D4—182no—
1554D4—184no—
1555D4—184no—
1556D4—182no—
1557D4—182no—
1558D4—362no—
1559D4—362no—
1560D4—362no—
1561D4—361no—
1562C2×C4—32no—
1563C2×C4—32no—
1564C2×C4—32no—
1565C2×C4—31no—
1566C2×C4—31no—
1567C2×C4—31no—
1568C2×C4—31no—
1569C2×C4—64no—
1570C2×C4—64no—
1571C2×C4—62no—
1572C2×C4—62no—
1573C2×C4—62no—
1574C2×C4—62no—
1575C2×C4—98no—
1576C2×C4—91no—
1577C2×C4—94no—
1578C2×C4—91no—
1579C2×C4—91no—
1580C2×C4—92no—
1581C2×C4—122no—
1582C2×C4—184no—
1583C2×C4—184no—
1584C2×C4—182no—
1585C2×C4—182no—
1586C2×C4—182no—
1587C2×C4—184no—
1588C2×C4—184no—
1589C2×C4—362no—
1590C2×C4—362no—
1591C2×C4C22×D3211yescharacteristic
1592C2×C4C22×D3211yescharacteristic
1593C2×C4C22×D3211yescharacteristic
1594C2×C3—21no—
1595C2×C3—21no—
1596C2×C3—21no—
1597C2×C3—42no—
1598C2×C3—42no—
1599C2×C3—42no—
1600C2×C3—42no—
1601C2×C3—62no—
1602C2×C3—64no—
1603C2×C3—82no—
1604C2×C3—82no—
1605C2×C3—121no—
1606C2×C3—121no—
1607C2×C3—121no—
1608C2×C3C22×D3×D411yescharacteristic
1609C2×C3C22×D3×D411yescharacteristic
1610C2×C3C2×#100411yescharacteristic
1611C2×C3#596411yescharacteristic
1612C2×C3D3×H(5,𝔽2)11yescharacteristic
1613C2×C3#596611yescharacteristic
1614D3—22no—
1615D3—24no—
1616D3—41no—
1617D3—41no—
1618D3—41no—
1619D3—62no—
1620D3—62no—
1621D3—122no—
1622D3—122no—
1623D3—122no—
1624D3—242no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—34no—
1632C22—32no—
1633C22—61no—
1634C22—62no—
1635C22—61no—
1636C22—62no—
1637C22—61no—
1638C22—61no—
1639C22—61no—
1640C22—61no—
1641C22—61no—
1642C22—61no—
1643C22—61no—
1644C22—61no—
1645C22—61no—
1646C22—92no—
1647C22—128no—
1648C22—181no—
1649C22—181no—
1650C22—182no—
1651C22—182no—
1652C22—182no—
1653C22—244no—
1654C22—364no—
1655C22—724no—
1656C22—724no—
1657C22C23×D3211yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—34no—
1661C4—61no—
1662C4—61no—
1663C4—61no—
1664C4—61no—
1665C4—62no—
1666C4—62no—
1667C4—92no—
1668C4—182no—
1669C4—181no—
1670C4—181no—
1671C4D32×D412yes—
1672C3—21no—
1673C3#8660711yescharacteristic, complemented
1674C3#8676911yescharacteristic, complemented
1675C2—42no—
1676C2—42no—
1677C2—62no—
1678C2—64no—
1679C2—121no—
1680C2—121no—
1681C2—121no—
1682C2—182no—
1683C2—362no—
1684C2C2×D32×D411yescharacteristic
1685C2D3×#100411yescharacteristic
1686C2#1059667811yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×#127C22
hypercenter#127D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #127

Complements

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

NH ≅ G/Ntype
1. C2×#64314C2semidirect
2. C2×D3×#237C2semidirect
3. #10596186C2semidirect
4. C3×#5718C2semidirect
5. C3×#5717C2semidirect
6. #10595296C2semidirect
7. #10595295C2semidirect
8. #10595291C2semidirect
9. #10595288C2semidirect
10. #10595286C2semidirect
11. D3×#939C2semidirect
12. #10595282C2semidirect
13. #10595240C2semidirect
14. #10595236C2semidirect
15. #10595228C2semidirect
16. #10595157C2semidirect
17. #10595135C2semidirect
18. #10595132C2semidirect
19. #10595129C2semidirect
20. #10594006C2semidirect
21. #10594003C2semidirect
22. #10593899C2semidirect
23. #10593889C2semidirect
26. C2×#3830C22semidirect
27. C2×D4×C3⋊D3C22semidirect
28. C2×C3×#237C22semidirect
29. C2×C3×#237C22semidirect
30. C2×C3×D3×D4C22semidirect
31. C2×C3×D3×D4C22semidirect
32. C2×C3×D3×D4C22semidirect
33. C2×#3811C22semidirect
34. C2×#3811C22semidirect
35. C2×D3×#67C22semidirect
36. C2×D3×#67C22semidirect
37. C2×D3×#67C22semidirect
38. C22×#626C22semidirect
39. C2×#3805C22semidirect
40. C2×#3804C22semidirect
41. C2×#3804C22semidirect
42. C22×D3×Dic3C22semidirect
45. C2×D3×D12C22semidirect
46. C2×C4×D32C22semidirect
47. C2×#3799C22semidirect
48. C2×#3798C22semidirect
50. C2×#3795C22semidirect
51. C2×D3×Dic6C22semidirect
52. C32×#127C22semidirect
53. #64149C22semidirect
54. #64148C22semidirect
55. #64148C22semidirect
56. #64146C22semidirect
57. #64146C22semidirect
58. #64145C22semidirect
59. #64084C22semidirect
60. #64081C22semidirect
61. C3×#940C22semidirect
62. C3×#939C22semidirect
63. C3×#939C22semidirect
64. C3×#938C22semidirect
65. C3×#938C22semidirect
66. C3×#938C22semidirect
67. C3×#938C22semidirect
68. C3×#938C22semidirect
69. C3×#937C22semidirect
70. C3×#937C22semidirect
71. C3×D4×Dic3C22semidirect
72. C3×C4×D12C22semidirect
73. C3×C4×D12C22semidirect
74. C3×C4×D12C22semidirect
75. C3×C4×Dic6C22semidirect
76. #63983C22semidirect
77. #63982C22semidirect
78. #63980C22semidirect
79. #63979C22semidirect
80. #63978C22semidirect
81. #63977C22semidirect
82. #63976C22semidirect
83. #63974C22semidirect
84. Dic3×#67C22semidirect
85. #63971C22semidirect
86. #63971C22semidirect
87. #63971C22semidirect
88. #63970C22semidirect
89. #63970C22semidirect
90. #63969C22semidirect
91. D3×#217C22semidirect
92. #63964C22semidirect
93. #63959C22semidirect
94. #63958C22semidirect
95. #63958C22semidirect
96. #63958C22semidirect
97. #63952C22semidirect
98. #63922C22semidirect
99. #63922C22semidirect
100. #63922C22semidirect
101. D3×(C2×D3)⋊C4C22semidirect
102. #63909C22semidirect
103. #63909C22semidirect
104. #63906C22semidirect
105. #63904C22semidirect
106. C4×#625C22semidirect
107. C4×#625C22semidirect
108. #63900C22semidirect
109. #63899C22semidirect
110. #63899C22semidirect
111. #63898C22semidirect
112. #63895C22semidirect
113. #63890C22semidirect
114. #63886C22semidirect
115. #63885C22semidirect
116. #63885C22semidirect
117. #63880C22semidirect
118. #63880C22semidirect
119. #63877C22semidirect
120. D3×Dic3⋊C4C22semidirect
121. #63857C22semidirect
122. #63857C22semidirect
123. #63854C22semidirect
124. #63854C22semidirect
125. #63852C22semidirect
126. #63843C22semidirect
139. #5718D3semidirect
141. #5717D3semidirect
253. #3796D4semidirect
324. C2×#237C2×D3semidirect
325. C2×#237C2×D3semidirect
337. C2×D3×D4C2×D3semidirect
338. C2×D3×D4C2×D3semidirect
339. C2×D3×D4C2×D3semidirect
354. C3×#127C2×D3semidirect
355. C3×#127C2×D3semidirect
379. #940C2×D3semidirect
397. #939C2×D3semidirect
398. #939C2×D3semidirect
404. #938C2×D3semidirect
405. #938C2×D3semidirect
406. #938C2×D3semidirect
407. #938C2×D3semidirect
408. #938C2×D3semidirect
421. #937C2×D3semidirect
422. #937C2×D3semidirect
430. D4×Dic3C2×D3semidirect
503. C4×D12C2×D3semidirect
504. C4×D12C2×D3semidirect
505. C4×D12C2×D3semidirect
510. C4×Dic6C2×D3semidirect
552. C4×C3⋊D3C2×D4semidirect
573. C3×D12C2×D4semidirect
579. C3×Dic6C2×D4semidirect
588. #626C2×D4semidirect
601. D3×Dic3C2×D4semidirect
926. C2×C3×D3H(5,𝔽2)semidirect
972. #127D32semidirect
1223. D12D3×D4semidirect
1251. Dic6D3×D4semidirect
1466. C2×D3#1004semidirect
1502. C32#3488semidirect
1673. C3#86607semidirect
1674. C3#86769semidirect

Maximal subgroups

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

subgroupindex
C2×#643142
C2×D3×#2372
#105961862
C3×#57182
C3×#57172
#105952962
#105952952
#105952912
#105952882
#105952862
D3×#9392
#105952822
#105952402
#105952362
#105952282
#105951572
#105951352
#105951322
#105951292
#105940062
#105940032
#105938992
#105938892
#867693
#866073