Finite Group Databasebeta

← #11904630

Subgroups — #11904630

Order 1152.

3463 conjugacy classes of subgroups.

The subgroup lattice has 1673 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64313C211yesmaximal, characteristic, complemented
2C2×D3×#237C211yesmaximal, characteristic, complemented
3#10596017C211yesmaximal, characteristic, complemented
4C3×#5554C211yesmaximal, characteristic, complemented
5C3×D4×D12C211yesmaximal, characteristic, complemented
6#10595244C211yesmaximal, characteristic, complemented
7D4×#625C211yesmaximal, characteristic, complemented
8#10595083C212yesmaximal, complemented
9#10595069C212yesmaximal, complemented
10#10594930C212yesmaximal, complemented
11C2×#63885C212yesmaximal, complemented
12#10594612C211yesmaximal, characteristic, complemented
13#10594528C211yesmaximal, characteristic, complemented
14#10594527C211yesmaximal, characteristic, complemented
15#10594525C211yesmaximal, characteristic, complemented
16#10594294C212yesmaximal, complemented
17#10594271C212yesmaximal, complemented
18#10594192C212yesmaximal, complemented
19#10594082C212yesmaximal, complemented
20#10594010C211yesmaximal, characteristic, complemented
21#10594006C211yesmaximal, characteristic, complemented
22#10593906C211yesmaximal, characteristic, complemented
23#10593905C211yesmaximal, characteristic, complemented
24#86629—31nomaximal
25#86607—31nomaximal
26C2×#3830C2211yescharacteristic
27C2×C3×#237C2211yescharacteristic, complemented
28C2×C3×D3×D4C2211yescharacteristic, complemented
29C2×C3×D3×D4C2211yescharacteristic, complemented
30C2×C3×D3×D4C2211yescharacteristic, complemented
31C22×C3×D12C2212yescomplemented
32C2×D3×#67C2212yescomplemented
33C2×D3×#67C2212yescomplemented
34C2×D3×#67C2212yescomplemented
35C22×#625C2212yescomplemented
36C22×#625C2212yescomplemented
37C2×#3805C2212yescomplemented
38C2×#3805C2212yescomplemented
39C2×#3804C2212yescomplemented
40C22×D3×Dic3C2212yescomplemented
41#64313—28no—
42D3×#237—28no—
43C2×#3802C2211yescharacteristic, complemented
44C2×#3802C2212yescomplemented
45C2×C4×D32C2211yescharacteristic, complemented
46C2×#3798C2211yescharacteristic, complemented
47C2×#3796C2211yescharacteristic, complemented
48C2×#3795C2211yescharacteristic, complemented
49C2×#3795C2211yescharacteristic, complemented
50C2×#3795C2211yescharacteristic, complemented
51C2×D3×Dic6C2211yescharacteristic, complemented
52C32×C4×D4C2211yescharacteristic, complemented
53D4×C3⋊Dic3C2211yescharacteristic, complemented
54C4×#638C2212yescomplemented
55C2×#3750C2212yescomplemented
56C4⋊C4×C3⋊D3C2211yescharacteristic, complemented
57#64096C2211yescharacteristic, complemented
58#64090C2212yescomplemented
59#64086C2212yescomplemented
60#64081C2211yescharacteristic, complemented
61C4×#634C2211yescharacteristic, complemented
62C3×#930C2212yescomplemented
63C3×#930C2212yescomplemented
64C2×C3×(C2×D3)⋊C4C2212yescomplemented
65C3×#897C2211yescharacteristic, complemented
66C3×#895C2211yescharacteristic, complemented
67C3×#895C2211yescharacteristic, complemented
68C3×#895C2211yescharacteristic, complemented
69C3×#886C2212yescomplemented
70C3×#882C2212yescomplemented
71C3×#882C2212yescomplemented
72C3×#882C2212yescomplemented
73C3×#875C2211yescharacteristic, complemented
74C3×#874C2211yescharacteristic, complemented
75C3×C4×D12C2211yescharacteristic, complemented
76C3×C4×D12C2211yescharacteristic, complemented
77#63980C2212yescomplemented
78#63980C2212yescomplemented
79#63976C2212yescomplemented
80#63976C2212yescomplemented
81#63976C2212yescomplemented
82#63961C2212yescomplemented
83C2×(C2×D3)⋊Dic3C2212yescomplemented
84#63922C2212yescomplemented
85#63922C2211yescharacteristic, complemented
86#63922C2211yescharacteristic, complemented
87#63922C2212yescomplemented
88#63921C2212yescomplemented
89#63916C2212yescomplemented
90#63915C2212yescomplemented
91#63915C2212yescomplemented
92#63914C2212yescomplemented
93#63914C2212yescomplemented
94#63914C2211yescharacteristic, complemented
95#63912C2212yescomplemented
96#63908C2211yescharacteristic, complemented
97#63908C2211yescharacteristic, complemented
98#63908C2211yescharacteristic, complemented
99#63902C2212yescomplemented
100#63902C2212yescomplemented
101C4×#625C2211yescharacteristic, complemented
102C4×#625C2211yescharacteristic, complemented
103#63899C2212yescomplemented
104#63899C2211yescharacteristic, complemented
105#63899C2212yescomplemented
106#63899C2211yescharacteristic, complemented
107#63899C2212yescomplemented
108#63898C2212yescomplemented
109#63898C2212yescomplemented
110#63885C2212yescomplemented
111#63885C2212yescomplemented
112#63885C2212yescomplemented
113#63885C2212yescomplemented
114#63885C2211yescharacteristic, complemented
115#63885C2212yescomplemented
116#63885C2212yescomplemented
117#63885C2212yescomplemented
118#63885C2212yescomplemented
119#63885C2212yescomplemented
120#63885C2212yescomplemented
121#63885C2212yescomplemented
122#63885C2211yescharacteristic, complemented
123#63863C2211yescharacteristic, complemented
124#63856C2211yescharacteristic, complemented
125#63854C2211yescharacteristic, complemented
126#63854C2211yescharacteristic, complemented
127C2×D3×#41—31no—
128C2×#1004—31no—
129C2×#1004—31no—
130C22×#237—31no—
131C3×#546—31no—
132C3×D42—31no—
133#5829—31no—
134#5806—31no—
135C2×#939—32no—
136D4×#67—31no—
137D4×#67—31no—
138D4×#67—32no—
139#5718—31no—
140#5715—31no—
141#5677—31no—
142#5674—31no—
143#5656—32no—
144#5654—32no—
145#5633—31no—
146#5629—31no—
147#5610—32no—
148#5609—32no—
149#5608—31no—
150D3×#121—31no—
151D3×#121—31no—
152#5599—31no—
153#5599—31no—
154#5598—31no—
155#5597—32no—
156#5597—32no—
157#5592—32no—
158#5592—32no—
159#5591—32no—
160#5590—32no—
161#5590—32no—
162#5586—32no—
163#5554D311yescharacteristic, complemented
164#5553—31no—
165#5552—31no—
166D4×D12D311yescharacteristic, complemented
167#5547—31no—
168#5547—31no—
169#5546—31no—
170#5546—31no—
171#5546—61no—
172#5490—32no—
173C2×#884—32no—
174C23×C3×D3C2312yes—
175C23×C3×D3C2312yes—
176C23×C3×D3C2312yes—
177C22×D32C2311yescharacteristic
178C22×D32C2312yes—
179C2×C32×D4C2311yescharacteristic
180C22×C32×C4C2312yes—
181C2×#638C2312yes—
182C22×C3⋊Dic3C2312yes—
183C22×C3⋊Dic3C2312yes—
184#3830D418yescomplemented
185C2×C4×C3⋊D3C2312yes—
186C2×C4×C3⋊D3C2311yescharacteristic
187C2×#634C2311yescharacteristic
188C2×C3×#67C2312yes—
189C2×C3×#67C2312yes—
190C2×C3×#67C2312yes—
191C2×C3×#67C2312yes—
192C22×C3×Dic3C2312yes—
193C3×#237—24no—
194C3×D3×D4—24no—
195C3×D3×D4—24no—
196C3×D3×D4—24no—
197C2×C3×D12—44no—
198C2×C3×D12C2312yes—
199C2×C3×D12C2311yescharacteristic
200C2×C3×D12C2311yescharacteristic
201C2×C3×D12C2311yescharacteristic
202C2×C3×D12C2311yescharacteristic
203C2×C3×D12C2312yes—
204C2×C3×D12C2311yescharacteristic
205C2×C3×D12C2312yes—
206C2×C3×D12C2312yes—
207C2×C3×D12C2312yes—
208C2×C3×C4×D3C2311yescharacteristic
209C2×C3×C4×D3C2311yescharacteristic
210C2×C3×C4×D3C2311yescharacteristic
211C2×C3×C4×D3C2311yescharacteristic
212C2×C3×Dic6C2311yescharacteristic
213D3×#67—28no—
214D3×#67—28no—
215D3×#67—28no—
216C2×#627C2312yes—
217C2×#627C2311yescharacteristic
218C2×#626C2312yes—
219C2×#626C2311yescharacteristic
220C2×#626C2311yescharacteristic
221C2×#625—28no—
222C2×#625—44no—
223C2×#625C2312yes—
224C2×#625C2312yes—
225C2×#625C2312yes—
226C2×#625C2311yescharacteristic
227C2×#625C2312yes—
228C2×#625C2312yes—
229C2×#625C2311yescharacteristic
230C2×#625C2312yes—
231C2×#625C2312yes—
232C2×#625C2312yes—
233C2×#625C2311yescharacteristic
234C2×#625C2312yes—
235C2×#624C2311yescharacteristic
236#3805—28no—
237#3805—28no—
238#3804—28no—
239C2×D3×Dic3—28no—
240C2×D3×Dic3C2312yes—
241C2×D3×Dic3C2312yes—
242C2×D3×Dic3C2312yes—
243C2×D3×Dic3C2312yes—
244C2×D3×Dic3C2312yes—
245C2×D3×Dic3C2311yescharacteristic
246C2×D3×Dic3C2311yescharacteristic
247#3802—24no—
248#3802—44no—
249C4×D32—24no—
250#3798—24no—
251#3796—24no—
252#3795—24no—
253#3795—24no—
254#3795—24no—
255D3×Dic6—24no—
256C32×C4⋊C4C2311yescharacteristic
257C32×C22⋊C4C2312yes—
258C32×C42C2311yescharacteristic
259#3757C2312yes—
260#3752C2311yescharacteristic
261#3752C2311yescharacteristic
262C4⋊(C3⋊Dic3)C2311yescharacteristic
263#3750C2312yes—
264#3750C2311yescharacteristic
265#3750C2311yescharacteristic
266#3750C2312yes—
267#3750C2312yes—
268C4×C3⋊Dic3C2312yes—
269C4×C3⋊Dic3C2311yescharacteristic
270C4×C3⋊Dic3C2312yes—
271C3×(C2×D3)⋊C4C2311yescharacteristic
272C3×(C2×D3)⋊C4C2311yescharacteristic
273C3×(C2×D3)⋊C4C2312yes—
274C3×(C2×D3)⋊C4C2312yes—
275C3×(C2×D3)⋊C4C2312yes—
276C3×(C2×D3)⋊C4C2312yes—
277C3×(C2×D3)⋊C4C2312yes—
278C3×(C2×D3)⋊C4C2311yescharacteristic
279C3×(C2×D3)⋊C4C2312yes—
280C3×(C2×D3)⋊C4C2311yescharacteristic
281C3×C4⋊Dic3C2311yescharacteristic
282C3×C4⋊Dic3C2312yes—
283C3×C4⋊Dic3C2311yescharacteristic
284#3724C2311yescharacteristic
285#3724C2311yescharacteristic
286#3724C2312yes—
287(C2×D3)⋊Dic3C2311yescharacteristic
288(C2×D3)⋊Dic3C2311yescharacteristic
289(C2×D3)⋊Dic3C2312yes—
290(C2×D3)⋊Dic3C2312yes—
291(C2×D3)⋊Dic3C2312yes—
292(C2×D3)⋊Dic3C2312yes—
293(C2×D3)⋊Dic3C2311yescharacteristic
294(C2×D3)⋊Dic3C2312yes—
295(C2×D3)⋊Dic3C2312yes—
296(C2×D3)⋊Dic3C2311yescharacteristic
297#3488—91noSylow
298C2×C3×#41—31no—
299C22×C3×D4—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—
307C22×#67—32no—
308C22×#67—32no—
309C22×#67—32no—
310C23×Dic3—32no—
311D3×#41—68no—
312C2×#239—31no—
313C2×D3×Q8—31no—
314#1004—68no—
315#1004—68no—
316C2×#237—31no—
317C2×#237—31no—
318C2×#237—32no—
319C2×#237—32no—
320C2×#237—32no—
321C2×#237—32no—
322C2×#237—32no—
323C2×#237—31no—
324C2×#237—31no—
325C2×#237—31no—
326C2×#237—31no—
327C2×#237—61no—
328C2×#237—68no—
329C2×#237C2×D311yescharacteristic, complemented
330C2×D3×D4—32no—
331C2×D3×D4—32no—
332C2×D3×D4—32no—
333C2×D3×D4—31no—
334C2×D3×D4—31no—
335C2×D3×D4—32no—
336C2×D3×D4—32no—
337C2×D3×D4C2×D311yescharacteristic, complemented
338C2×D3×D4C2×D311yescharacteristic, complemented
339C2×D3×D4C2×D311yescharacteristic, complemented
340C2×#235—32no—
341C2×#235—31no—
342C2×#235—31no—
343C2×#235—31no—
344C2×#235—31no—
345C2×#235—31no—
346C22×D12C2×D312yescomplemented
347C22×C4×D3—32no—
348C22×C4×D3—31no—
349C22×C4×D3—31no—
350C22×Dic6—31no—
351C3×#127—31no—
352C3×#124—31no—
353C3×#123—32no—
354C3×C22⋊Q8—31no—
355C3×#121—32no—
356C3×#121—32no—
357C3×#121—31no—
358C3×#121—31no—
359C3×#121—31no—
360C3×#120—32no—
361C3×#120—32no—
362C3×#120—32no—
363C3×C4×D4—21no—
364C3×C4×D4—31no—
365C3×C4×D4—31no—
366C3×C4×D4C2×D311yescharacteristic, complemented
367C3×C4×D4C2×D311yescharacteristic, complemented
368C2×C3×C22⋊C4—32no—
369#953—32no—
370#953—32no—
371#953—32no—
372C2×#217—32no—
373#947—31no—
374#946—31no—
375#940—31no—
376#940—31no—
377#940—32no—
378#940—32no—
379#940—32no—
380#940—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—31no—
391#939—32no—
392#939—32no—
393#939—32no—
394#939—32no—
395#939—31no—
396#939—32no—
397#939—32no—
398#938—31no—
399#938—31no—
400#938—31no—
401#938—32no—
402#937—32no—
403#937—32no—
404#937—32no—
405#937—32no—
406#937—32no—
407#937—31no—
408#937—31no—
409#936—31no—
410#935—32no—
411D4×Dic3—31no—
412D4×Dic3—31no—
413D4×Dic3—32no—
414D4×Dic3—32no—
415D4×Dic3—61no—
416#930—31no—
417#930—31no—
418#930—31no—
419#930C2×D312yescomplemented
420#930C2×D312yescomplemented
421#929—32no—
422C4×#67—32no—
423C4×#67—32no—
424C4×#67—31no—
425C4×#67—31no—
426C4×#67—31no—
427C4×#67—31no—
428C4×#67—62no—
429C2×(C2×D3)⋊C4—32no—
430C2×(C2×D3)⋊C4C2×D312yescomplemented
431#924—31no—
432C2×Dic3⋊C4—32no—
433C2×Dic3⋊C4—32no—
434C2×Dic3⋊C4—62no—
435#897C2×D311yescharacteristic, complemented
436#896—32no—
437#896—31no—
438#896—32no—
439#896—31no—
440#896—32no—
441#895—32no—
442#895C2×D311yescharacteristic, complemented
443#895C2×D311yescharacteristic, complemented
444#895C2×D311yescharacteristic, complemented
445#894—31no—
446#894—31no—
447#893—32no—
448#893—32no—
449D3×C4⋊C4—31no—
450D3×C4⋊C4—31no—
451D3×C4⋊C4—61no—
452#887—31no—
453#887—31no—
454#887—61no—
455#886C2×D312yescomplemented
456#885—32no—
457#885—32no—
458#885—32no—
459#885—32no—
460#884—32no—
461#884—32no—
462#884—32no—
463#884—32no—
464#884—32no—
465#884—32no—
466#884—31no—
467#884—32no—
468#884—32no—
469#884—31no—
470#884—32no—
471#884—32no—
472#884—32no—
473#884—32no—
474#884—32no—
475#883—31no—
476#883—31no—
477#882—32no—
478#882—32no—
479#882—31no—
480#882—31no—
481#882C2×D312yescomplemented
482#882C2×D312yescomplemented
483#882C2×D312yescomplemented
484#67⋊C4—32no—
485#67⋊C4—32no—
486#67⋊C4—32no—
487#67⋊C4—32no—
488#67⋊C4—32no—
489#67⋊C4—32no—
490#67⋊C4—62no—
491D3×C22⋊C4—32no—
492D3×C22⋊C4—32no—
493#878—32no—
494#878—31no—
495#878—31no—
496#878—32no—
497#878—32no—
498#877—32no—
499#877—32no—
500#877—62no—
501#875C2×D311yescharacteristic, complemented
502#874C2×D311yescharacteristic, complemented
503C4×D12C2×D311yescharacteristic, complemented
504C4×D12C2×D311yescharacteristic, complemented
505#872—31no—
506#872—31no—
507#872—61no—
508C4×Dic6—31no—
509C4×Dic6—31no—
510C4×Dic6—61no—
511C23×C32C2412yes—
512C22×C3⋊D3C2411yescharacteristic
513C22×C3×D3—24no—
514C22×C3×D3—24no—
515C22×C3×D3—24no—
516C22×C3×D3—24no—
517C22×C3×D3—42no—
518C22×C3×D3—42no—
519C22×C3×D3—42no—
520C22×C3×D3—42no—
521C22×C3×D3—42no—
522C22×C3×D3C2412yes—
523C22×C3×D3C2412yes—
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×D4C2×D414yescomplemented
536C2×C32×C4—42no—
537C2×C32×C4C2411yescharacteristic
538C2×C32×C4C2412yes—
539C2×C32×C4C2411yescharacteristic
540C2×C32×C4C2411yescharacteristic
541#638C2×D418yescomplemented
542C2×C3⋊Dic3—42no—
543C2×C3⋊Dic3C2×D418yescomplemented
544C2×C3⋊Dic3C2411yescharacteristic
545C2×C3⋊Dic3C2411yescharacteristic
546C2×C3⋊Dic3C2412yes—
547C2×C3⋊Dic3C2412yes—
548C2×C3⋊Dic3C2411yescharacteristic
549C4×C3⋊D3—42no—
550C4×C3⋊D3C2×D414yescomplemented
551#634C2×D414yescomplemented
552C3×#67—24no—
553C3×#67—24no—
554C3×#67—24no—
555C3×#67—24no—
556C2×C3×Dic3—24no—
557C2×C3×Dic3C2411yescharacteristic
558C2×C3×Dic3C2411yescharacteristic
559C2×C3×Dic3C2412yes—
560C2×C3×Dic3C2411yescharacteristic
561C2×C3×Dic3C2411yescharacteristic
562C3×D12—24no—
563C3×D12—22no—
564C3×D12—22no—
565C3×D12—22no—
566C3×D12—22no—
567C3×D12—42no—
568C3×D12—42no—
569C3×D12—42no—
570C3×D12—41no—
571C3×D12—42no—
572C3×C4×D3—22no—
573C3×C4×D3—22no—
574C3×C4×D3—22no—
575C3×C4×D3—22no—
576C3×Dic6—22no—
577#627—24no—
578#627—22no—
579#626—24no—
580#626—22no—
581#626—22no—
582#625—24no—
583#625—22no—
584#625—24no—
585#625—24no—
586#625—24no—
587#625—22no—
588#625—24no—
589#625—42no—
590#625—42no—
591#625—42no—
592#625—41no—
593#625—42no—
594#624—22no—
595D3×Dic3—24no—
596D3×Dic3—24no—
597D3×Dic3—24no—
598D3×Dic3—24no—
599D3×Dic3—24no—
600D3×Dic3—22no—
601D3×Dic3—22no—
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—91no—
605#550—91no—
606#548—91no—
607#548—91no—
608#546—31no—
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—92no—
623C2×#121—91no—
624#520—91no—
625C24×C3—32no—
626C24×C3—32no—
627C24×C3—32no—
628C23×D3—31no—
629C23×D3—31no—
630C23×D3—32no—
631C23×D3—32no—
632C23×D3C22×D312yes—
633C23×D3C22×D312yes—
634C23×D3C22×D312yes—
635C3×#41—64no—
636C2×C3×Q8—31no—
637C2×C3×D4—21no—
638C2×C3×D4—32no—
639C2×C3×D4—32no—
640C2×C3×D4—32no—
641C2×C3×D4—32no—
642C2×C3×D4—32no—
643C2×C3×D4—31no—
644C2×C3×D4—31no—
645C2×C3×D4—31no—
646C2×C3×D4—31no—
647C2×C3×D4—32no—
648C2×C3×D4—32no—
649C2×C3×D4—31no—
650C2×C3×D4—32no—
651C2×C3×D4—32no—
652C2×C3×D4—64no—
653C2×C3×D4—64no—
654C2×C3×D4—64no—
655C2×C3×D4—124no—
656C2×C3×D4C22×D311yescharacteristic
657C2×C3×D4C22×D311yescharacteristic
658C22×C3×C4—22no—
659C22×C3×C4—32no—
660C22×C3×C4—31no—
661C22×C3×C4—31no—
662C22×C3×C4—31no—
663C22×C3×C4—31no—
664C22×C3×C4C22×D312yes—
665C22×C3×C4C22×D312yes—
666C2×#67—32no—
667C2×#67—32no—
668C2×#67—32no—
669C2×#67—32no—
670C2×#67—31no—
671C2×#67—31no—
672C2×#67—31no—
673C2×#67—32no—
674C2×#67—32no—
675C2×#67—32no—
676C2×#67—31no—
677C2×#67—32no—
678C2×#67—32no—
679C2×#67—32no—
680C2×#67—32no—
681C2×#67—32no—
682C2×#67—32no—
683C2×#67—32no—
684C2×#67—32no—
685C2×#67—31no—
686C2×#67—32no—
687C2×#67—31no—
688C2×#67—32no—
689C2×#67—32no—
690C2×#67—32no—
691C2×#67—32no—
692C2×#67—31no—
693C2×#67—31no—
694C2×#67—32no—
695C2×#67—62no—
696C2×#67—68no—
697C2×#67—68no—
698C2×#67—68no—
699C2×#67—68no—
700C2×#67—68no—
701C2×#67—124no—
702C2×#67—124no—
703C2×#67C22×D312yes—
704C2×#67C22×D312yes—
705C2×#67C22×D312yes—
706C2×#67C22×D312yes—
707C22×Dic3—32no—
708C22×Dic3—32no—
709C22×Dic3—32no—
710C22×Dic3—32no—
711C22×Dic3—32no—
712C22×Dic3—32no—
713C22×Dic3—31no—
714C22×Dic3—31no—
715C22×Dic3—32no—
716C22×Dic3—32no—
717C22×Dic3—32no—
718C22×Dic3—62no—
719C22×Dic3—62no—
720C22×Dic3—68no—
721C22×Dic3C22×D312yes—
722#239—64no—
723D3×Q8—64no—
724#237—24no—
725#237—38no—
726#237—38no—
727#237—68no—
728#237—64no—
729#237—64no—
730#237—64no—
731#237—64no—
732#237—68no—
733#237—68no—
734#237—68no—
735#237—68no—
736#237—68no—
737D3×D4—24no—
738D3×D4—24no—
739D3×D4—24no—
740D3×D4—64no—
741D3×D4—64no—
742D3×D4—68no—
743D3×D4—68no—
744D3×D4—68no—
745D3×D4—124no—
746D3×D4—124no—
747#235—64no—
748#235—64no—
749#235—64no—
750#235—64no—
751#235—64no—
752#235—68no—
753C2×D12—32no—
754C2×D12—31no—
755C2×D12—31no—
756C2×D12—44no—
757C2×D12C22×D311yescharacteristic
758C2×D12C22×D311yescharacteristic
759C2×D12C22×D311yescharacteristic
760C2×D12C22×D311yescharacteristic
761C2×D12C22×D312yes—
762C2×D12C22×D311yescharacteristic
763C2×D12C22×D312yes—
764C2×D12C22×D312yes—
765C2×D12C22×D312yes—
766C2×D12C22×D312yes—
767C2×C4×D3—31no—
768C2×C4×D3—31no—
769C2×C4×D3—32no—
770C2×C4×D3—32no—
771C2×C4×D3—32no—
772C2×C4×D3—31no—
773C2×C4×D3—31no—
774C2×C4×D3—32no—
775C2×C4×D3—32no—
776C2×C4×D3—31no—
777C2×C4×D3—31no—
778C2×C4×D3—32no—
779C2×C4×D3—32no—
780C2×C4×D3—61no—
781C2×C4×D3—62no—
782C2×C4×D3—64no—
783C2×C4×D3—64no—
784C2×C4×D3—68no—
785C2×C4×D3C22×D311yescharacteristic
786C2×C4×D3C22×D311yescharacteristic
787C2×C4×D3C22×D311yescharacteristic
788C2×C4×D3C22×D311yescharacteristic
789C2×Dic6—31no—
790C2×Dic6—31no—
791C2×Dic6—31no—
792C2×Dic6—32no—
793C2×Dic6—32no—
794C2×Dic6—31no—
795C2×Dic6—61no—
796C2×Dic6—64no—
797C2×Dic6C22×D311yescharacteristic
798C3×C4⋊C4—21no—
799C3×C4⋊C4—31no—
800C3×C4⋊C4—32no—
801C3×C4⋊C4—31no—
802C3×C4⋊C4C22×D311yescharacteristic
803C3×C4⋊C4C22×D311yescharacteristic
804C3×C22⋊C4—22no—
805C3×C22⋊C4—32no—
806C3×C22⋊C4—31no—
807C3×C22⋊C4—32no—
808C3×C22⋊C4—32no—
809C3×C22⋊C4—31no—
810C3×C22⋊C4—32no—
811C3×C22⋊C4—32no—
812C3×C22⋊C4—31no—
813C3×C22⋊C4—31no—
814C3×C22⋊C4—32no—
815C3×C22⋊C4C22×D312yes—
816C3×C22⋊C4C22×D312yes—
817C3×C42—21no—
818C3×C42C22×D311yescharacteristic
819C3×C42C22×D311yescharacteristic
820#217—32no—
821#217—32no—
822#217—32no—
823#217—31no—
824#217—31no—
825#217—32no—
826#217—32no—
827#217—32no—
828#217—31no—
829#217—31no—
830#217—32no—
831#217—32no—
832#217—62no—
833(C2×D3)⋊C4—32no—
834(C2×D3)⋊C4—32no—
835(C2×D3)⋊C4—32no—
836(C2×D3)⋊C4—31no—
837(C2×D3)⋊C4—32no—
838(C2×D3)⋊C4—31no—
839(C2×D3)⋊C4—31no—
840(C2×D3)⋊C4—32no—
841(C2×D3)⋊C4—31no—
842(C2×D3)⋊C4—32no—
843(C2×D3)⋊C4—31no—
844(C2×D3)⋊C4—31no—
845(C2×D3)⋊C4—31no—
846(C2×D3)⋊C4—31no—
847(C2×D3)⋊C4—61no—
848(C2×D3)⋊C4—61no—
849(C2×D3)⋊C4C22×D311yescharacteristic
850(C2×D3)⋊C4C22×D311yescharacteristic
851(C2×D3)⋊C4C22×D311yescharacteristic
852(C2×D3)⋊C4C22×D311yescharacteristic
853(C2×D3)⋊C4C22×D312yes—
854(C2×D3)⋊C4C22×D312yes—
855(C2×D3)⋊C4C22×D312yes—
856(C2×D3)⋊C4C22×D312yes—
857(C2×D3)⋊C4C22×D312yes—
858(C2×D3)⋊C4C22×D312yes—
859C4⋊Dic3—31no—
860C4⋊Dic3—31no—
861C4⋊Dic3—61no—
862C4⋊Dic3C22×D311yescharacteristic
863C4⋊Dic3C22×D311yescharacteristic
864C4⋊Dic3C22×D312yes—
865Dic3⋊C4—32no—
866Dic3⋊C4—32no—
867Dic3⋊C4—31no—
868Dic3⋊C4—31no—
869Dic3⋊C4—31no—
870Dic3⋊C4—31no—
871Dic3⋊C4—32no—
872Dic3⋊C4—32no—
873Dic3⋊C4—32no—
874Dic3⋊C4—32no—
875Dic3⋊C4—31no—
876Dic3⋊C4—31no—
877Dic3⋊C4—32no—
878Dic3⋊C4—32no—
879Dic3⋊C4—31no—
880Dic3⋊C4—31no—
881Dic3⋊C4—62no—
882Dic3⋊C4—61no—
883Dic3⋊C4—61no—
884Dic3⋊C4—62no—
885Dic3⋊C4—62no—
886C4×Dic3—32no—
887C4×Dic3—32no—
888C4×Dic3—31no—
889C4×Dic3—31no—
890C4×Dic3—32no—
891C4×Dic3—32no—
892C4×Dic3—62no—
893C4×Dic3—61no—
894C4×Dic3—62no—
895C22×C32—22no—
896C22×C32—22no—
897C22×C32C22×D414yes—
898C22×C32C2511yescharacteristic
899C2×C3⋊D3—21no—
900C2×C3⋊D3—21no—
901C2×C3⋊D3C22×D412yes—
902C2×C3×D3—21no—
903C2×C3×D3—21no—
904C2×C3×D3—22no—
905C2×C3×D3—21no—
906C2×C3×D3—22no—
907C2×C3×D3—22no—
908C2×C3×D3—21no—
909C2×C3×D3—21no—
910C2×C3×D3—21no—
911C2×C3×D3—22no—
912C2×C3×D3—21no—
913C2×C3×D3—22no—
914C2×C3×D3—22no—
915C2×C3×D3—21no—
916C2×C3×D3—21no—
917C2×C3×D3—22no—
918C2×C3×D3—22no—
919C2×C3×D3—21no—
920C2×C3×D3—22no—
921C2×C3×D3—21no—
922C2×C3×D3—48no—
923C2×C3×D3—84no—
924C2×C3×D3—84no—
925C2×C3×D3H(5,𝔽2)12yescomplemented
926D32—44no—
927D32—84no—
928C32×C4—22no—
929C32×C4—21no—
930C32×C4—21no—
931C32×C4C22×D412yes—
932C3⋊Dic3—22no—
933C3⋊Dic3—21no—
934C3⋊Dic3—21no—
935C3⋊Dic3C22×D414yes—
936C3⋊Dic3C22×D412yes—
937C3×Dic3—21no—
938C3×Dic3—22no—
939C3×Dic3—21no—
940C3×Dic3—21no—
941C3×Dic3—21no—
942H(5,𝔽2)—188no—
943C2×#41—31no—
944C2×#41—91no—
945C2×#41—92no—
946C2×#41—91no—
947C2×#41—91no—
948C2×#41—91no—
949C2×#41—92no—
950C2×#41—92no—
951C2×#41—91no—
952C2×#41—91no—
953C2×#41—188no—
954C22×Q8—91no—
955C22×D4—31no—
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—
966C23×C4—91no—
967C23×C4—92no—
968#127—31no—
969#127—91no—
970#127—92no—
971#127—92no—
972#124—31no—
973#124—92no—
974#124—92no—
975#124—91no—
976#123—32no—
977#123—91no—
978#123—91no—
979#123—92no—
980C22⋊Q8—31no—
981C22⋊Q8—91no—
982C22⋊Q8—91no—
983C22⋊Q8—92no—
984C22⋊Q8—92no—
985C22⋊Q8—92no—
986C22⋊Q8—91no—
987#121—32no—
988#121—32no—
989#121—31no—
990#121—31no—
991#121—31no—
992#121—92no—
993#121—91no—
994#121—92no—
995#121—92no—
996#121—92no—
997#121—92no—
998#121—92no—
999#121—92no—
1000#121—92no—
1001#121—92no—
1002#121—91no—
1003#121—92no—
1004#121—92no—
1005#121—92no—
1006#121—92no—
1007#121—91no—
1008#121—91no—
1009#121—91no—
1010#121—92no—
1011#121—92no—
1012#120—32no—
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—
1022C4×Q8—91no—
1023C4×Q8—91no—
1024C4×D4—31no—
1025C4×D4—31no—
1026C4×D4—92no—
1027C4×D4—92no—
1028C4×D4—92no—
1029C4×D4—92no—
1030C4×D4—91no—
1031C4×D4—91no—
1032C4×D4—91no—
1033C4×D4—92no—
1034C4×D4—92no—
1035C4×D4D3211yescharacteristic, complemented
1036#117—92no—
1037#117—91no—
1038C2×C4⋊C4—92no—
1039C2×C4⋊C4—91no—
1040C2×C22⋊C4—32no—
1041C2×C22⋊C4—92no—
1042C2×C22⋊C4—92no—
1043C23×C3—22no—
1044C23×C3—31no—
1045C23×C3—32no—
1046C23×C3—31no—
1047C23×C3—32no—
1048C23×C3—31no—
1049C23×C3—32no—
1050C23×C3—31no—
1051C23×C3—64no—
1052C23×C3—64no—
1053C23×C3—64no—
1054C23×C3—64no—
1055C23×C3—122no—
1056C23×C3—122no—
1057C23×C3—122no—
1058C23×C3—122no—
1059C23×C3—122no—
1060C23×C3C23×D312yes—
1061C23×C3C23×D312yes—
1062C22×D3—24no—
1063C22×D3—24no—
1064C22×D3—24no—
1065C22×D3—24no—
1066C22×D3—31no—
1067C22×D3—31no—
1068C22×D3—42no—
1069C22×D3—42no—
1070C22×D3—42no—
1071C22×D3—42no—
1072C22×D3—42no—
1073C22×D3—61no—
1074C22×D3—62no—
1075C22×D3—62no—
1076C22×D3—64no—
1077C22×D3—64no—
1078C22×D3—62no—
1079C22×D3—62no—
1080C22×D3—121no—
1081C22×D3—121no—
1082C22×D3—122no—
1083C22×D3—122no—
1084C22×D3—122no—
1085C22×D3—122no—
1086C22×D3C23×D312yes—
1087C22×D3C23×D311yescharacteristic
1088C22×D3C23×D312yes—
1089C22×D3C23×D311yescharacteristic
1090C22×D3C23×D312yes—
1091C22×D3C23×D311yescharacteristic
1092C22×D3C23×D311yescharacteristic
1093C3×Q8—62no—
1094C3×D4—24no—
1095C3×D4—64no—
1096C3×D4—62no—
1097C3×D4—64no—
1098C3×D4—64no—
1099C3×D4—64no—
1100C3×D4—64no—
1101C3×D4—62no—
1102C3×D4—62no—
1103C3×D4—62no—
1104C3×D4—122no—
1105C3×D4—122no—
1106C3×D4—121no—
1107C3×D4—122no—
1108C3×D4—122no—
1109C3×D4D3×D414yescomplemented
1110C3×D4D3×D414yescomplemented
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—22no—
1114C2×C3×C4—21no—
1115C2×C3×C4—31no—
1116C2×C3×C4—31no—
1117C2×C3×C4—32no—
1118C2×C3×C4—31no—
1119C2×C3×C4—31no—
1120C2×C3×C4—42no—
1121C2×C3×C4—42no—
1122C2×C3×C4—64no—
1123C2×C3×C4—62no—
1124C2×C3×C4—62no—
1125C2×C3×C4—62no—
1126C2×C3×C4—62no—
1127C2×C3×C4—82no—
1128C2×C3×C4C23×D311yescharacteristic
1129C2×C3×C4C23×D311yescharacteristic
1130C2×C3×C4C23×D312yes—
1131C2×C3×C4C23×D312yes—
1132C2×C3×C4C23×D311yescharacteristic
1133C2×C3×C4C23×D311yescharacteristic
1134C2×C3×C4C23×D311yescharacteristic
1135C2×C3×C4C23×D311yescharacteristic
1136#67—24no—
1137#67—24no—
1138#67—24no—
1139#67—24no—
1140#67—38no—
1141#67—38no—
1142#67—68no—
1143#67—62no—
1144#67—62no—
1145#67—64no—
1146#67—64no—
1147#67—64no—
1148#67—64no—
1149#67—62no—
1150#67—62no—
1151#67—64no—
1152#67—64no—
1153#67—64no—
1154#67—64no—
1155#67—64no—
1156#67—64no—
1157#67—62no—
1158#67—64no—
1159#67—62no—
1160#67—122no—
1161#67—122no—
1162#67—121no—
1163#67—122no—
1164#67—122no—
1165#67—121no—
1166#67—122no—
1167#67—122no—
1168#67—122no—
1169#67—122no—
1170C2×Dic3—24no—
1171C2×Dic3—38no—
1172C2×Dic3—38no—
1173C2×Dic3—32no—
1174C2×Dic3—32no—
1175C2×Dic3—31no—
1176C2×Dic3—31no—
1177C2×Dic3—31no—
1178C2×Dic3—31no—
1179C2×Dic3—31no—
1180C2×Dic3—31no—
1181C2×Dic3—32no—
1182C2×Dic3—32no—
1183C2×Dic3—68no—
1184C2×Dic3—62no—
1185C2×Dic3—61no—
1186C2×Dic3—61no—
1187C2×Dic3—61no—
1188C2×Dic3—62no—
1189C2×Dic3—64no—
1190C2×Dic3—62no—
1191C2×Dic3—62no—
1192C2×Dic3—64no—
1193C2×Dic3—64no—
1194C2×Dic3—64no—
1195C2×Dic3—64no—
1196C2×Dic3—122no—
1197C2×Dic3—122no—
1198C2×Dic3—242no—
1199C2×Dic3C23×D311yescharacteristic
1200C2×Dic3C23×D311yescharacteristic
1201C2×Dic3C23×D311yescharacteristic
1202C2×Dic3C23×D312yes—
1203C2×Dic3C23×D311yescharacteristic
1204D12—22no—
1205D12—24no—
1206D12—22no—
1207D12—22no—
1208D12—22no—
1209D12—42no—
1210D12—42no—
1211D12—41no—
1212D12—42no—
1213D12—42no—
1214D12—62no—
1215D12—62no—
1216D12—64no—
1217C4×D3—22no—
1218C4×D3—22no—
1219C4×D3—22no—
1220C4×D3—22no—
1221C4×D3—34no—
1222C4×D3—34no—
1223C4×D3—64no—
1224C4×D3—62no—
1225C4×D3—62no—
1226C4×D3—62no—
1227C4×D3—64no—
1228C4×D3—64no—
1229C4×D3—62no—
1230C4×D3—64no—
1231C4×D3—64no—
1232C4×D3—64no—
1233C4×D3—122no—
1234C4×D3—122no—
1235C4×D3—242no—
1236Dic6—22no—
1237Dic6—34no—
1238Dic6—34no—
1239Dic6—64no—
1240Dic6—64no—
1241Dic6—62no—
1242Dic6—62no—
1243Dic6—64no—
1244C2×C32—24no—
1245C2×C32C23×D411yescharacteristic
1246C2×C32C2×H(5,𝔽2)11yescharacteristic
1247C2×C32#58511yescharacteristic
1248C3⋊D3—22no—
1249C3×D3—22no—
1250C3×D3—41no—
1251C3×D3—42no—
1252C3×D3—42no—
1253C3×D3—42no—
1254C3×D3—41no—
1255C3×D3—41no—
1256C24—32no—
1257C24—32no—
1258C24—32no—
1259C24—91no—
1260C24—92no—
1261#41—64no—
1262#41—98no—
1263#41—184no—
1264#41—188no—
1265#41—184no—
1266#41—184no—
1267#41—184no—
1268#41—188no—
1269#41—188no—
1270#41—184no—
1271C2×Q8—31no—
1272C2×Q8—91no—
1273C2×Q8—92no—
1274C2×Q8—91no—
1275C2×Q8—184no—
1276C2×D4—32no—
1277C2×D4—32no—
1278C2×D4—32no—
1279C2×D4—32no—
1280C2×D4—31no—
1281C2×D4—32no—
1282C2×D4—31no—
1283C2×D4—31no—
1284C2×D4—31no—
1285C2×D4—31no—
1286C2×D4—32no—
1287C2×D4—32no—
1288C2×D4—32no—
1289C2×D4—32no—
1290C2×D4—64no—
1291C2×D4—64no—
1292C2×D4—64no—
1293C2×D4—92no—
1294C2×D4—91no—
1295C2×D4—91no—
1296C2×D4—92no—
1297C2×D4—91no—
1298C2×D4—92no—
1299C2×D4—91no—
1300C2×D4—92no—
1301C2×D4—92no—
1302C2×D4—92no—
1303C2×D4—92no—
1304C2×D4—92no—
1305C2×D4—91no—
1306C2×D4—92no—
1307C2×D4—92no—
1308C2×D4—92no—
1309C2×D4—124no—
1310C2×D4—184no—
1311C2×D4—188no—
1312C2×D4—188no—
1313C2×D4—188no—
1314C2×D4—188no—
1315C2×D4—364no—
1316C2×D4—364no—
1317C2×D4C2×D3211yescharacteristic
1318C22×C4—32no—
1319C22×C4—31no—
1320C22×C4—31no—
1321C22×C4—31no—
1322C22×C4—31no—
1323C22×C4—91no—
1324C22×C4—92no—
1325C22×C4—92no—
1326C22×C4—92no—
1327C22×C4—92no—
1328C22×C4—91no—
1329C22×C4—91no—
1330C22×C4—92no—
1331C22×C4—92no—
1332C22×C4—91no—
1333C22×C4—92no—
1334C22×C4—92no—
1335C22×C4—184no—
1336C22×C4—188no—
1337C22×C4C2×D3212yes—
1338C4⋊C4—31no—
1339C4⋊C4—31no—
1340C4⋊C4—32no—
1341C4⋊C4—91no—
1342C4⋊C4—91no—
1343C4⋊C4—92no—
1344C4⋊C4—92no—
1345C4⋊C4—91no—
1346C4⋊C4—92no—
1347C4⋊C4—92no—
1348C4⋊C4—91no—
1349C4⋊C4—91no—
1350C4⋊C4C2×D3211yescharacteristic
1351C22⋊C4—31no—
1352C22⋊C4—32no—
1353C22⋊C4—32no—
1354C22⋊C4—32no—
1355C22⋊C4—32no—
1356C22⋊C4—31no—
1357C22⋊C4—31no—
1358C22⋊C4—31no—
1359C22⋊C4—32no—
1360C22⋊C4—32no—
1361C22⋊C4—91no—
1362C22⋊C4—92no—
1363C22⋊C4—92no—
1364C22⋊C4—92no—
1365C22⋊C4—92no—
1366C22⋊C4—91no—
1367C22⋊C4—91no—
1368C22⋊C4—92no—
1369C22⋊C4—91no—
1370C22⋊C4—92no—
1371C22⋊C4—92no—
1372C22⋊C4—91no—
1373C22⋊C4—91no—
1374C22⋊C4C2×D3212yes—
1375C42—92no—
1376C42—92no—
1377C42—91no—
1378C42C2×D3211yescharacteristic
1379C22×C3—22no—
1380C22×C3—22no—
1381C22×C3—22no—
1382C22×C3—22no—
1383C22×C3—24no—
1384C22×C3—21no—
1385C22×C3—32no—
1386C22×C3—42no—
1387C22×C3—42no—
1388C22×C3—61no—
1389C22×C3—61no—
1390C22×C3—62no—
1391C22×C3—61no—
1392C22×C3—62no—
1393C22×C3—62no—
1394C22×C3—61no—
1395C22×C3—61no—
1396C22×C3—61no—
1397C22×C3—62no—
1398C22×C3—61no—
1399C22×C3—62no—
1400C22×C3—61no—
1401C22×C3—62no—
1402C22×C3—62no—
1403C22×C3—62no—
1404C22×C3—61no—
1405C22×C3—61no—
1406C22×C3—62no—
1407C22×C3—61no—
1408C22×C3—128no—
1409C22×C3—244no—
1410C22×C3—244no—
1411C22×C3C2×D3×D414yes—
1412C22×C3C2×D3×D414yes—
1413C22×C3C24×D311yescharacteristic
1414C22×C3C24×D311yescharacteristic
1415C2×D3—21no—
1416C2×D3—21no—
1417C2×D3—21no—
1418C2×D3—21no—
1419C2×D3—21no—
1420C2×D3—22no—
1421C2×D3—22no—
1422C2×D3—22no—
1423C2×D3—21no—
1424C2×D3—22no—
1425C2×D3—22no—
1426C2×D3—21no—
1427C2×D3—21no—
1428C2×D3—22no—
1429C2×D3—21no—
1430C2×D3—22no—
1431C2×D3—21no—
1432C2×D3—22no—
1433C2×D3—22no—
1434C2×D3—21no—
1435C2×D3—32no—
1436C2×D3—32no—
1437C2×D3—48no—
1438C2×D3—62no—
1439C2×D3—61no—
1440C2×D3—61no—
1441C2×D3—61no—
1442C2×D3—61no—
1443C2×D3—84no—
1444C2×D3—84no—
1445C2×D3—121no—
1446C2×D3—121no—
1447C2×D3—124no—
1448C2×D3—124no—
1449C2×D3—244no—
1450C2×D3—244no—
1451C2×D3#100412yescomplemented
1452C3×C4—22no—
1453C3×C4—21no—
1454C3×C4—21no—
1455C3×C4—22no—
1456C3×C4—21no—
1457C3×C4—21no—
1458C3×C4—22no—
1459C3×C4—42no—
1460C3×C4—41no—
1461C3×C4—41no—
1462C3×C4—61no—
1463C3×C4—61no—
1464C3×C4—61no—
1465C3×C4—62no—
1466C3×C4—61no—
1467C3×C4C2×D3×D412yes—
1468C3×C4C2×D3×D412yes—
1469Dic3—22no—
1470Dic3—21no—
1471Dic3—21no—
1472Dic3—21no—
1473Dic3—21no—
1474Dic3—34no—
1475Dic3—34no—
1476Dic3—32no—
1477Dic3—32no—
1478Dic3—64no—
1479Dic3—62no—
1480Dic3—62no—
1481Dic3—61no—
1482Dic3—61no—
1483Dic3—62no—
1484Dic3—61no—
1485Dic3—61no—
1486Dic3—122no—
1487Dic3—121no—
1488Dic3—121no—
1489C32#348811yescharacteristic, complemented, Sylow
1490C23—31no—
1491C23—31no—
1492C23—32no—
1493C23—31no—
1494C23—32no—
1495C23—31no—
1496C23—32no—
1497C23—64no—
1498C23—64no—
1499C23—64no—
1500C23—64no—
1501C23—91no—
1502C23—122no—
1503C23—122no—
1504C23—122no—
1505C23—122no—
1506C23—122no—
1507C23—182no—
1508C23—182no—
1509C23—184no—
1510C23—361no—
1511C23—362no—
1512C23—362no—
1513C23C22×D3212yes—
1514Q8—62no—
1515Q8—94no—
1516Q8—184no—
1517Q8—182no—
1518D4—62no—
1519D4—64no—
1520D4—64no—
1521D4—64no—
1522D4—64no—
1523D4—64no—
1524D4—62no—
1525D4—62no—
1526D4—62no—
1527D4—98no—
1528D4—122no—
1529D4—122no—
1530D4—122no—
1531D4—122no—
1532D4—121no—
1533D4—182no—
1534D4—182no—
1535D4—184no—
1536D4—182no—
1537D4—184no—
1538D4—184no—
1539D4—184no—
1540D4—184no—
1541D4—184no—
1542D4—182no—
1543D4—362no—
1544D4—362no—
1545D4—362no—
1546D4—362no—
1547D4—361no—
1548D4#380214yescomplemented
1549C2×C4—31no—
1550C2×C4—31no—
1551C2×C4—32no—
1552C2×C4—31no—
1553C2×C4—31no—
1554C2×C4—42no—
1555C2×C4—64no—
1556C2×C4—62no—
1557C2×C4—62no—
1558C2×C4—62no—
1559C2×C4—62no—
1560C2×C4—98no—
1561C2×C4—92no—
1562C2×C4—91no—
1563C2×C4—94no—
1564C2×C4—91no—
1565C2×C4—92no—
1566C2×C4—91no—
1567C2×C4—182no—
1568C2×C4—182no—
1569C2×C4—184no—
1570C2×C4—184no—
1571C2×C4—182no—
1572C2×C4—184no—
1573C2×C4—184no—
1574C2×C4—184no—
1575C2×C4—362no—
1576C2×C4—362no—
1577C2×C4C22×D3211yescharacteristic
1578C2×C4C22×D3212yes—
1579C2×C4C22×D3211yescharacteristic
1580C2×C4C22×D3211yescharacteristic
1581C2×C3—24no—
1582C2×C3—24no—
1583C2×C3—21no—
1584C2×C3—21no—
1585C2×C3—21no—
1586C2×C3—44no—
1587C2×C3—62no—
1588C2×C3—121no—
1589C2×C3—122no—
1590C2×C3—121no—
1591C2×C3—122no—
1592C2×C3—122no—
1593C2×C3—121no—
1594C2×C3C22×D3×D411yescharacteristic
1595C2×C3C22×D3×D411yescharacteristic
1596C2×C3C2×#100411yescharacteristic
1597C2×C3#596411yescharacteristic
1598C2×C3D3×H(5,𝔽2)11yescharacteristic
1599C2×C3#596611yescharacteristic
1600D3—22no—
1601D3—42no—
1602D3—41no—
1603D3—42no—
1604D3—41no—
1605D3—42no—
1606D3—41no—
1607D3—62no—
1608D3—62no—
1609D3—122no—
1610C22—22no—
1611C22—22no—
1612C22—32no—
1613C22—61no—
1614C22—61no—
1615C22—61no—
1616C22—61no—
1617C22—61no—
1618C22—62no—
1619C22—62no—
1620C22—62no—
1621C22—61no—
1622C22—62no—
1623C22—62no—
1624C22—61no—
1625C22—62no—
1626C22—61no—
1627C22—62no—
1628C22—61no—
1629C22—61no—
1630C22—62no—
1631C22—61no—
1632C22—62no—
1633C22—92no—
1634C22—128no—
1635C22—181no—
1636C22—181no—
1637C22—244no—
1638C22—244no—
1639C22—364no—
1640C22—724no—
1641C22C2×#380214yes—
1642C22C23×D3211yescharacteristic
1643C4—21no—
1644C4—22no—
1645C4—21no—
1646C4—61no—
1647C4—61no—
1648C4—61no—
1649C4—61no—
1650C4—62no—
1651C4—92no—
1652C4—94no—
1653C4—182no—
1654C4—181no—
1655C4—181no—
1656C4C2×#380212yes—
1657C3—21no—
1658C3#8660711yescharacteristic, complemented
1659C3#8662911yescharacteristic, complemented
1660C2—24no—
1661C2—62no—
1662C2—122no—
1663C2—121no—
1664C2—121no—
1665C2—122no—
1666C2—122no—
1667C2—121no—
1668C2—182no—
1669C2C22×#380211yescharacteristic
1670C2D3×#100411yescharacteristic
1671C2#1059669611yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C4×D4C22
hypercenterC4×D4D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#64313C2semidirect
2. C2×D3×#237C2semidirect
3. #10596017C2semidirect
4. C3×#5554C2semidirect
5. C3×D4×D12C2semidirect
6. #10595244C2semidirect
7. D4×#625C2semidirect
8. #10595083C2semidirect
9. #10595069C2semidirect
10. #10594930C2semidirect
11. C2×#63885C2semidirect
12. #10594612C2semidirect
13. #10594528C2semidirect
14. #10594527C2semidirect
15. #10594525C2semidirect
16. #10594294C2semidirect
17. #10594271C2semidirect
18. #10594192C2semidirect
19. #10594082C2semidirect
20. #10594010C2semidirect
21. #10594006C2semidirect
22. #10593906C2semidirect
23. #10593905C2semidirect
27. C2×C3×#237C22semidirect
28. C2×C3×D3×D4C22semidirect
29. C2×C3×D3×D4C22semidirect
30. C2×C3×D3×D4C22semidirect
31. C22×C3×D12C22semidirect
32. C2×D3×#67C22semidirect
33. C2×D3×#67C22semidirect
34. C2×D3×#67C22semidirect
35. C22×#625C22semidirect
36. C22×#625C22semidirect
37. C2×#3805C22semidirect
38. C2×#3805C22semidirect
39. C2×#3804C22semidirect
40. C22×D3×Dic3C22semidirect
43. C2×#3802C22semidirect
44. C2×#3802C22semidirect
45. C2×C4×D32C22semidirect
46. C2×#3798C22semidirect
47. C2×#3796C22semidirect
48. C2×#3795C22semidirect
49. C2×#3795C22semidirect
50. C2×#3795C22semidirect
51. C2×D3×Dic6C22semidirect
52. C32×C4×D4C22semidirect
53. D4×C3⋊Dic3C22semidirect
54. C4×#638C22semidirect
55. C2×#3750C22semidirect
56. C4⋊C4×C3⋊D3C22semidirect
57. #64096C22semidirect
58. #64090C22semidirect
59. #64086C22semidirect
60. #64081C22semidirect
61. C4×#634C22semidirect
62. C3×#930C22semidirect
63. C3×#930C22semidirect
64. C2×C3×(C2×D3)⋊C4C22semidirect
65. C3×#897C22semidirect
66. C3×#895C22semidirect
67. C3×#895C22semidirect
68. C3×#895C22semidirect
69. C3×#886C22semidirect
70. C3×#882C22semidirect
71. C3×#882C22semidirect
72. C3×#882C22semidirect
73. C3×#875C22semidirect
74. C3×#874C22semidirect
75. C3×C4×D12C22semidirect
76. C3×C4×D12C22semidirect
77. #63980C22semidirect
78. #63980C22semidirect
79. #63976C22semidirect
80. #63976C22semidirect
81. #63976C22semidirect
82. #63961C22semidirect
83. C2×(C2×D3)⋊Dic3C22semidirect
84. #63922C22semidirect
85. #63922C22semidirect
86. #63922C22semidirect
87. #63922C22semidirect
88. #63921C22semidirect
89. #63916C22semidirect
90. #63915C22semidirect
91. #63915C22semidirect
92. #63914C22semidirect
93. #63914C22semidirect
94. #63914C22semidirect
95. #63912C22semidirect
96. #63908C22semidirect
97. #63908C22semidirect
98. #63908C22semidirect
99. #63902C22semidirect
100. #63902C22semidirect
101. C4×#625C22semidirect
102. C4×#625C22semidirect
103. #63899C22semidirect
104. #63899C22semidirect
105. #63899C22semidirect
106. #63899C22semidirect
107. #63899C22semidirect
108. #63898C22semidirect
109. #63898C22semidirect
110. #63885C22semidirect
111. #63885C22semidirect
112. #63885C22semidirect
113. #63885C22semidirect
114. #63885C22semidirect
115. #63885C22semidirect
116. #63885C22semidirect
117. #63885C22semidirect
118. #63885C22semidirect
119. #63885C22semidirect
120. #63885C22semidirect
121. #63885C22semidirect
122. #63885C22semidirect
123. #63863C22semidirect
124. #63856C22semidirect
125. #63854C22semidirect
126. #63854C22semidirect
163. #5554D3semidirect
166. D4×D12D3semidirect
184. #3830D4semidirect
329. C2×#237C2×D3semidirect
337. C2×D3×D4C2×D3semidirect
338. C2×D3×D4C2×D3semidirect
339. C2×D3×D4C2×D3semidirect
346. C22×D12C2×D3semidirect
366. C3×C4×D4C2×D3semidirect
367. C3×C4×D4C2×D3semidirect
419. #930C2×D3semidirect
420. #930C2×D3semidirect
430. C2×(C2×D3)⋊C4C2×D3semidirect
435. #897C2×D3semidirect
442. #895C2×D3semidirect
443. #895C2×D3semidirect
444. #895C2×D3semidirect
455. #886C2×D3semidirect
481. #882C2×D3semidirect
482. #882C2×D3semidirect
483. #882C2×D3semidirect
501. #875C2×D3semidirect
502. #874C2×D3semidirect
503. C4×D12C2×D3semidirect
504. C4×D12C2×D3semidirect
535. C32×D4C2×D4semidirect
541. #638C2×D4semidirect
543. C2×C3⋊Dic3C2×D4semidirect
550. C4×C3⋊D3C2×D4semidirect
551. #634C2×D4semidirect
925. C2×C3×D3H(5,𝔽2)semidirect
1035. C4×D4D32semidirect
1109. C3×D4D3×D4semidirect
1110. C3×D4D3×D4semidirect
1451. C2×D3#1004semidirect
1489. C32#3488semidirect
1548. D4#3802semidirect
1658. C3#86607semidirect
1659. 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×D3×#2372
#105960172
C3×#55542
C3×D4×D122
#105952442
D4×#6252
#105950832
#105950692
#105949302
C2×#638852
#105946122
#105945282
#105945272
#105945252
#105942942
#105942712
#105941922
#105940822
#105940102
#105940062
#105939062
#105939052
#866293
#866073