Finite Group Databasebeta

← #11235553

Subgroups — #11235553

Order 768.

2564 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5621C211yesmaximal, characteristic, complemented
2C2×#5606C211yesmaximal, characteristic, complemented
3C3×#2675C211yesmaximal, characteristic, complemented
4#82723C211yesmaximal, characteristic, complemented
5#82720C211yesmaximal, characteristic, complemented
6#82719C211yesmaximal, characteristic, complemented
7#82713C211yesmaximal, characteristic, complemented
8#82685C211yesmaximal, characteristic, complemented
9#82682C211yesmaximal, characteristic, complemented
10#82658C211yesmaximal, characteristic, complemented
11#82651C211yesmaximal, characteristic, complemented
12#82647C211yesmaximal, characteristic, complemented
13#82645C211yesmaximal, characteristic, complemented
14#77449C211yesmaximal, characteristic, complemented
15#77433C211yesmaximal, characteristic, complemented
16#77301C211yesmaximal, characteristic, complemented
17#77291C211yesmaximal, characteristic, complemented
18#76775C211yesmaximal, characteristic, complemented
19#76771C211yesmaximal, characteristic, complemented
20#76766C211yesmaximal, characteristic, complemented
21#76723C211yesmaximal, characteristic, complemented
22#76681C211yesmaximal, characteristic, complemented
23#76680C211yesmaximal, characteristic, complemented
24#76676C211yesmaximal, characteristic, complemented
25#76668C211yesmaximal, characteristic, complemented
26#74655C211yesmaximal, characteristic, complemented
27#74598C211yesmaximal, characteristic, complemented
28#74516C211yesmaximal, characteristic, complemented
29#74514C211yesmaximal, characteristic, complemented
30#74438C211yesmaximal, characteristic, complemented
31#74424C211yesmaximal, characteristic, complemented
32#45451—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×#121C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic
39C2×C3×#121C2211yescharacteristic, complemented
40C2×C3×#121C2211yescharacteristic, complemented
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic
43C2×#938C2211yescharacteristic
44C2×#938C2211yescharacteristic
45C2×#938C2211yescharacteristic
46C2×#937C2211yescharacteristic
47C2×#937C2211yescharacteristic
48C2×#937C2211yescharacteristic
49C2×#937C2211yescharacteristic
50C2×#936C2211yescharacteristic
51C2×#936C2211yescharacteristic, complemented
52C2×#935C2211yescharacteristic
53C2×#935C2211yescharacteristic, complemented
54C2×#935C2211yescharacteristic, complemented
55C2×#935C2211yescharacteristic, complemented
56C2×D4×Dic3C2211yescharacteristic
57C2×D4×Dic3C2211yescharacteristic
58C2×D4×Dic3C2211yescharacteristic, complemented
59C2×#929C2211yescharacteristic
60C2×#924C2211yescharacteristic
61C2×#924C2211yescharacteristic, complemented
62#5621—28no—
63#5606—28no—
64C2×#897C2211yescharacteristic
65C2×#896C2211yescharacteristic
66C2×#896C2211yescharacteristic
67C2×#892C2211yescharacteristic
68C2×#889C2211yescharacteristic, complemented
69C2×#885C2211yescharacteristic
70C2×#883C2211yescharacteristic
71C2×#883C2211yescharacteristic
72C2×#67⋊C4C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic
74C2×#878C2211yescharacteristic
75C2×#878C2211yescharacteristic, complemented
76C2×#878C2211yescharacteristic, complemented
77C2×#878C2211yescharacteristic, complemented
78C3×#396C2211yescharacteristic, complemented
79C3×#396C2211yescharacteristic, complemented
80C3×#392C2211yescharacteristic
81C3×#392C2211yescharacteristic
82C3×#392C2211yescharacteristic, complemented
83C3×#392C2211yescharacteristic, complemented
84C3×#385C2211yescharacteristic
85C3×#385C2211yescharacteristic, complemented
86C3×#385C2211yescharacteristic, complemented
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5222C2211yescharacteristic
94#5222C2211yescharacteristic
95#5222C2211yescharacteristic
96#5222C2211yescharacteristic
97#5222C2211yescharacteristic, complemented
98#5222C2211yescharacteristic, complemented
99#5222C2211yescharacteristic, complemented
100#5222C2211yescharacteristic, complemented
101#5221C2211yescharacteristic
102#5220C2211yescharacteristic
103#5220C2211yescharacteristic
104#5220C2211yescharacteristic
105#5220C2211yescharacteristic, complemented
106#5220C2211yescharacteristic, complemented
107#5220C2211yescharacteristic, complemented
108#5213C2211yescharacteristic
109#5213C2211yescharacteristic
110#5213C2211yescharacteristic
111#5212C2211yescharacteristic
112#5210C2211yescharacteristic
113#5210C2211yescharacteristic, complemented
114C4×#217C2211yescharacteristic, complemented
115C2×C3⋊#95C2211yescharacteristic, complemented
116#4994C2211yescharacteristic
117#4993C2211yescharacteristic
118#4992C2211yescharacteristic
119#4990C2211yescharacteristic
120#4989C2211yescharacteristic
121#4989C2211yescharacteristic
122#4987C2211yescharacteristic
123#4987C2211yescharacteristic
124#4982C2211yescharacteristic, complemented
125#4982C2211yescharacteristic, complemented
126#4981C2211yescharacteristic, complemented
127#4980C2211yescharacteristic, complemented
128#4979C2211yescharacteristic, complemented
129#4979C2211yescharacteristic, complemented
130#4976C2211yescharacteristic, complemented
131#4976C2211yescharacteristic, complemented
132#4976C2211yescharacteristic, complemented
133#4973C2211yescharacteristic, complemented
134#4972C2211yescharacteristic, complemented
135#4961C2211yescharacteristic
136#4959C2211yescharacteristic
137#4959C2211yescharacteristic
138#4959C2211yescharacteristic
139#4958C2211yescharacteristic
140#4958C2211yescharacteristic
141#4957C2211yescharacteristic
142#4957C2211yescharacteristic
143#4957C2211yescharacteristic
144#4957C2211yescharacteristic
145#4957C2211yescharacteristic
146#4956C2211yescharacteristic
147#4956C2211yescharacteristic
148#4956C2211yescharacteristic
149#4956C2211yescharacteristic
150#4955C2211yescharacteristic
151#4955C2211yescharacteristic
152#4952C2211yescharacteristic
153#4952C2211yescharacteristic
154#4952C2211yescharacteristic, complemented
155#4951C2211yescharacteristic, complemented
156#4951C2211yescharacteristic, complemented
157#4951C2211yescharacteristic, complemented
158#4950C2211yescharacteristic, complemented
159#4949C2211yescharacteristic, complemented
160#4948C2211yescharacteristic, complemented
161#4948C2211yescharacteristic, complemented
162#4948C2211yescharacteristic, complemented
163#4948C2211yescharacteristic, complemented
164#4947C2211yescharacteristic, complemented
165#4947C2211yescharacteristic, complemented
166#4946C2211yescharacteristic, complemented
167#4945C2211yescharacteristic
168#4945C2211yescharacteristic, complemented
169#4944C2211yescharacteristic
170#4944C2211yescharacteristic, complemented
171#4944C2211yescharacteristic, complemented
172#4942C2211yescharacteristic
173#4942C2211yescharacteristic, complemented
174#4676C2211yescharacteristic
175#4675C2211yescharacteristic
176#4673C2211yescharacteristic
177#4669C2211yescharacteristic
178#4668C2211yescharacteristic
179#4668C2211yescharacteristic
180#4667C2211yescharacteristic
181#4667C2211yescharacteristic
182#4660C2211yescharacteristic, complemented
183#4659C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4655C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#562—31no—
191C2×#525—31no—
192#2848—31no—
193#2847—31no—
194#2814—31no—
195#2813—31no—
196#2703—31no—
197#2692—31no—
198#2690—31no—
199#2683—31no—
200#2681—31no—
201#2678—31no—
202#2678—31no—
203#2676—31no—
204#2675D311yescharacteristic, complemented
205#2672—31no—
206#2670—31no—
207#2668—31no—
208#2474—31no—
209#2470—31no—
210#2464—31no—
211#2463—31no—
212#2461—31no—
213#2456—31no—
214#2454—31no—
215#2450—31no—
216#2430—31no—
217#2427—31no—
218#2425—31no—
219#2407—31no—
220#2376—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C2×#237—24no—
249C2×#237—42no—
250C2×#237—42no—
251C22×C4×D3—24no—
252C22×C4×D3—42no—
253C22×C4×D3—42no—
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×Dic6C2311yescharacteristic
259C22×Dic6C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C3×#121—24no—
262C3×#121—24no—
263C3×#121—42no—
264C3×#121—42no—
265C3×#121—42no—
266C3×#121—42no—
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311#939—24no—
312#939—24no—
313#938—24no—
314#938—24no—
315#938—42no—
316#937—24no—
317#937—24no—
318#937—42no—
319#937—42no—
320#936—24no—
321#936—42no—
322#935—24no—
323#935—24no—
324#935—42no—
325#935—42no—
326D4×Dic3—24no—
327D4×Dic3—24no—
328D4×Dic3—42no—
329#929—24no—
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353#924—24no—
354#924—24no—
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379#897—24no—
380#896—24no—
381#896—42no—
382#892—24no—
383#889—24no—
384#885—24no—
385#883—24no—
386#883D418yescomplemented
387#67⋊C4—24no—
388#67⋊C4—24no—
389#878—24no—
390#878—24no—
391#878—42no—
392#878—42no—
393C3×#95C2311yescharacteristic
394C3×#95C2311yescharacteristic
395C3×#95C2311yescharacteristic
396C3×#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C24×C4—31no—
425#562—68no—
426C2×#125—31no—
427C2×#124—31no—
428C2×#124—31no—
429C2×#124—31no—
430#525—68no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121C2×D311yescharacteristic
453C2×#121C2×D311yescharacteristic
454C2×#121C2×D311yescharacteristic
455C2×#121C2×D311yescharacteristic
456C2×#121C2×D311yescharacteristic, complemented
457C2×#121C2×D311yescharacteristic, complemented
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×#117—31no—
468#400—31no—
469#400—31no—
470#399—31no—
471#399—31no—
472#398—31no—
473#398—31no—
474#398—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396C2×D311yescharacteristic, complemented
487#396C2×D311yescharacteristic, complemented
488#395—31no—
489#395—31no—
490#395—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#393—31no—
504#393—31no—
505#393—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392C2×D311yescharacteristic
513#392C2×D311yescharacteristic
514#392C2×D311yescharacteristic, complemented
515#392C2×D311yescharacteristic, complemented
516#391—31no—
517#391—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#389—31no—
525#389—31no—
526#389—31no—
527#389—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#387—31no—
539#387—31no—
540#387—31no—
541#387—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385C2×D311yescharacteristic
566#385C2×D311yescharacteristic, complemented
567#385C2×D311yescharacteristic, complemented
568#380—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#379—31no—
576#379—31no—
577C4×C4⋊C4—31no—
578C4×C22⋊C4—31no—
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—22no—
603C2×C3×D4—22no—
604C2×C3×D4—22no—
605C2×C3×D4—41no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67C2×D414yes—
667C22×Dic3—22no—
668C22×Dic3—22no—
669C22×Dic3—22no—
670C22×Dic3—22no—
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—22no—
674C22×Dic3—22no—
675C22×Dic3—41no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3—41no—
681C22×Dic3—41no—
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696#237—416no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—416no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3C2×D414yes—
710C2×Dic6—22no—
711C2×Dic6—22no—
712C2×Dic6—22no—
713C2×Dic6—22no—
714C2×Dic6—41no—
715C2×Dic6—41no—
716C2×Dic6—41no—
717C2×Dic6—41no—
718C2×Dic6—41no—
719C3×C4⋊C4—22no—
720C3×C4⋊C4—22no—
721C3×C4⋊C4—22no—
722C3×C4⋊C4—41no—
723C3×C4⋊C4—41no—
724C3×C4⋊C4—41no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—41no—
731C3×C22⋊C4—41no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4—41no—
735C3×C22⋊C4—41no—
736C3×C22⋊C4C2×D414yes—
737#217—22no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—22no—
742#217—22no—
743#217—22no—
744#217—22no—
745#217—22no—
746#217—22no—
747#217—22no—
748#217—22no—
749#217—22no—
750#217—22no—
751#217—41no—
752#217—41no—
753#217—41no—
754#217—41no—
755#217—41no—
756#217—41no—
757#217—41no—
758#217—41no—
759#217—41no—
760#217—41no—
761#217—41no—
762#217C2×D414yes—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4C2×D414yes—
779C4⋊Dic3—22no—
780C4⋊Dic3—22no—
781C4⋊Dic3—22no—
782C4⋊Dic3—22no—
783C4⋊Dic3—41no—
784C4⋊Dic3—41no—
785C4⋊Dic3C2×D414yes—
786Dic3⋊C4—22no—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—41no—
796Dic3⋊C4—41no—
797Dic3⋊C4—41no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4C2×D414yes—
804C4×Dic3—22no—
805C4×Dic3—22no—
806C4×Dic3—22no—
807C4×Dic3—41no—
808C4×Dic3—41no—
809C4×Dic3—41no—
810C25—31no—
811C2×#41—64no—
812C2×#41—122no—
813C2×#41—122no—
814C22×Q8—31no—
815C22×Q8—31no—
816C22×Q8—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4C22×D311yescharacteristic
826C22×D4C22×D311yescharacteristic
827C22×D4C22×D311yescharacteristic
828C22×D4C22×D311yescharacteristic
829C22×D4C22×D311yescharacteristic
830C22×D4C22×D311yescharacteristic
831C22×D4C22×D311yescharacteristic
832C22×D4C22×D311yescharacteristic
833C22×D4C22×D311yescharacteristic
834C22×D4C22×D311yescharacteristic
835C23×C4—31no—
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—31no—
841C23×C4—31no—
842C23×C4—31no—
843C23×C4—31no—
844C23×C4—64no—
845C23×C4—122no—
846C23×C4—122no—
847C23×C4C22×D311yescharacteristic
848C23×C4C22×D311yescharacteristic
849C23×C4C22×D311yescharacteristic
850#125—64no—
851#124—64no—
852#124—64no—
853#124—122no—
854#123—38no—
855#123—64no—
856#123—64no—
857#123—64no—
858#123—64no—
859#123—122no—
860#123—122no—
861C22⋊Q8—64no—
862C22⋊Q8—64no—
863C22⋊Q8—64no—
864C22⋊Q8—64no—
865C22⋊Q8—64no—
866C22⋊Q8—64no—
867C22⋊Q8—122no—
868C22⋊Q8—122no—
869C22⋊Q8—122no—
870#121—24no—
871#121—24no—
872#121—42no—
873#121—42no—
874#121—42no—
875#121—42no—
876#121—64no—
877#121—64no—
878#121—64no—
879#121—64no—
880#121—122no—
881#120—64no—
882#120—64no—
883#120—122no—
884#120—122no—
885C4×D4—64no—
886C4×D4—64no—
887C4×D4—64no—
888C4×D4—64no—
889C4×D4—122no—
890#117—64no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4C22×D311yescharacteristic
917C2×C4⋊C4C22×D311yescharacteristic
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C22⋊C4C22×D311yescharacteristic
967C2×C22⋊C4C22×D311yescharacteristic
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C22⋊C4C22×D311yescharacteristic
970C2×C22⋊C4C22×D311yescharacteristic
971C2×C22⋊C4C22×D311yescharacteristic
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C42—31no—
977C2×C42—31no—
978C2×C42—31no—
979C2×C42—31no—
980C2×C42—31no—
981C2×C42—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3C22×D412yes—
1046C23×C3H(5,𝔽2)12yes—
1047C23×C3C2511yescharacteristic
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—44no—
1061C22×D3—44no—
1062C22×D3—44no—
1063C22×D3—44no—
1064C22×D3—44no—
1065C22×D3—44no—
1066C22×D3—44no—
1067C22×D3C22×D412yes—
1068C22×D32−1+412yes—
1069C3×D4—44no—
1070C3×D4—44no—
1071C3×D4—44no—
1072C3×D4—44no—
1073C3×D4—82no—
1074C3×D4—82no—
1075C3×D4—82no—
1076C3×D4—82no—
1077C3×D4—82no—
1078C3×D4—82no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—44no—
1107C2×C3×C4—82no—
1108C2×C3×C4—82no—
1109C2×C3×C4C22×D412yes—
1110C2×C3×C4C22×D412yes—
1111C2×C3×C4H(5,𝔽2)12yes—
1112#67—44no—
1113#67—44no—
1114#67—44no—
1115#67—44no—
1116#67—82no—
1117#67—82no—
1118#67—82no—
1119#67—82no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—44no—
1159C2×Dic3—44no—
1160C2×Dic3—44no—
1161C2×Dic3—82no—
1162C2×Dic3—82no—
1163C2×Dic3C22×D412yes—
1164C2×Dic3C22×D412yes—
1165C2×Dic3C22×D412yes—
1166C2×Dic3H(5,𝔽2)12yes—
1167C4×D3—28no—
1168C4×D3—44no—
1169C4×D3—44no—
1170C4×D3—44no—
1171Dic6—44no—
1172Dic6—82no—
1173Dic6—82no—
1174C24—31no—
1175C24—31no—
1176C24—62no—
1177C24—62no—
1178C24—62no—
1179C24—121no—
1180C24—121no—
1181C24—121no—
1182C24—121no—
1183C24C23×D311yescharacteristic
1184C24C23×D311yescharacteristic
1185C24C23×D311yescharacteristic
1186C24C23×D311yescharacteristic
1187C24C23×D311yescharacteristic
1188#41—1216no—
1189C2×Q8—62no—
1190C2×Q8—62no—
1191C2×Q8—62no—
1192C2×Q8—62no—
1193C2×Q8—121no—
1194C2×Q8—121no—
1195C2×Q8—121no—
1196C2×Q8—121no—
1197C2×Q8—121no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—34no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—31no—
1256C22×C4—31no—
1257C22×C4—31no—
1258C22×C4—31no—
1259C22×C4—34no—
1260C22×C4—31no—
1261C22×C4—31no—
1262C22×C4—31no—
1263C22×C4—31no—
1264C22×C4—31no—
1265C22×C4—31no—
1266C22×C4—31no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—62no—
1277C22×C4—62no—
1278C22×C4—62no—
1279C22×C4—62no—
1280C22×C4—62no—
1281C22×C4—62no—
1282C22×C4—62no—
1283C22×C4—62no—
1284C22×C4—62no—
1285C22×C4—62no—
1286C22×C4—62no—
1287C22×C4—62no—
1288C22×C4—62no—
1289C22×C4—62no—
1290C22×C4—62no—
1291C22×C4—121no—
1292C22×C4—121no—
1293C22×C4—121no—
1294C22×C4—121no—
1295C22×C4—1216no—
1296C22×C4—121no—
1297C22×C4—121no—
1298C22×C4—121no—
1299C22×C4—121no—
1300C22×C4—121no—
1301C22×C4—121no—
1302C22×C4—121no—
1303C22×C4C23×D311yescharacteristic
1304C22×C4C23×D311yescharacteristic
1305C22×C4C23×D311yescharacteristic
1306C22×C4C23×D311yescharacteristic
1307C22×C4C23×D311yescharacteristic
1308C22×C4C23×D311yescharacteristic
1309C22×C4C23×D311yescharacteristic
1310C22×C4C23×D311yescharacteristic
1311C22×C4C23×D311yescharacteristic
1312C22×C4C23×D311yescharacteristic
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—34no—
1317C4⋊C4—34no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—62no—
1325C4⋊C4—62no—
1326C4⋊C4—62no—
1327C4⋊C4—62no—
1328C4⋊C4—62no—
1329C4⋊C4—62no—
1330C4⋊C4—62no—
1331C4⋊C4—62no—
1332C4⋊C4—62no—
1333C4⋊C4—62no—
1334C4⋊C4—121no—
1335C4⋊C4—121no—
1336C4⋊C4—121no—
1337C4⋊C4—121no—
1338C4⋊C4—121no—
1339C4⋊C4—121no—
1340C4⋊C4—121no—
1341C4⋊C4—121no—
1342C4⋊C4—121no—
1343C4⋊C4—121no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—34no—
1350C22⋊C4—34no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—62no—
1358C22⋊C4—62no—
1359C22⋊C4—62no—
1360C22⋊C4—62no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—121no—
1377C22⋊C4—121no—
1378C22⋊C4—121no—
1379C22⋊C4—121no—
1380C22⋊C4—121no—
1381C22⋊C4—121no—
1382C22⋊C4—121no—
1383C22⋊C4—121no—
1384C22⋊C4—121no—
1385C22⋊C4—121no—
1386C22⋊C4—121no—
1387C22⋊C4—121no—
1388C22⋊C4—121no—
1389C22⋊C4—121no—
1390C22⋊C4—121no—
1391C22⋊C4—121no—
1392C22⋊C4—121no—
1393C22⋊C4—121no—
1394C22⋊C4—121no—
1395C22⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4D3×D414yes—
1398C42—62no—
1399C42—62no—
1400C42—62no—
1401C42—121no—
1402C42—121no—
1403C42—121no—
1404C22×C3—22no—
1405C22×C3—22no—
1406C22×C3—22no—
1407C22×C3—22no—
1408C22×C3—22no—
1409C22×C3—22no—
1410C22×C3—41no—
1411C22×C3—41no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3—41no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—41no—
1427C22×C3—41no—
1428C22×C3—41no—
1429C22×C3—41no—
1430C22×C3—41no—
1431C22×C3—41no—
1432C22×C3—41no—
1433C22×C3—41no—
1434C22×C3—41no—
1435C22×C3—41no—
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3—41no—
1439C22×C3C23×D411yescharacteristic
1440C22×C3C2×H(5,𝔽2)11yescharacteristic
1441C22×C3C2×H(5,𝔽2)11yescharacteristic
1442C22×C3C2×H(5,𝔽2)11yescharacteristic
1443C22×C3C2×2−1+411yescharacteristic
1444C22×C3#58511yescharacteristic
1445C22×C3#58511yescharacteristic
1446C2×D3—22no—
1447C2×D3—22no—
1448C2×D3—22no—
1449C2×D3—22no—
1450C2×D3—22no—
1451C2×D3—22no—
1452C2×D3—416no—
1453C2×D3—41no—
1454C2×D3—41no—
1455C2×D3—41no—
1456C2×D3—41no—
1457C2×D3—41no—
1458C2×D3—41no—
1459C2×D3—41no—
1460C2×D3—41no—
1461C3×C4—22no—
1462C3×C4—22no—
1463C3×C4—22no—
1464C3×C4—41no—
1465C3×C4—41no—
1466C3×C4—41no—
1467C3×C4—41no—
1468C3×C4—41no—
1469C3×C4—41no—
1470C3×C4—41no—
1471Dic3—22no—
1472Dic3—22no—
1473Dic3—22no—
1474Dic3—22no—
1475Dic3—41no—
1476Dic3—41no—
1477Dic3—41no—
1478Dic3—41no—
1479Dic3—41no—
1480Dic3—41no—
1481Dic3—41no—
1482Dic3—41no—
1483Dic3—41no—
1484Dic3—41no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—32no—
1519C23—32no—
1520C23—61no—
1521C23—61no—
1522C23—61no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—124no—
1533C23—124no—
1534C23—124no—
1535C23—124no—
1536C23—124no—
1537C23—124no—
1538C23—124no—
1539C23C2×D3×D412yes—
1540C23#100412yes—
1541C23C24×D311yescharacteristic
1542Q8—124no—
1543Q8—242no—
1544Q8—242no—
1545D4—44no—
1546D4—44no—
1547D4—44no—
1548D4—44no—
1549D4—82no—
1550D4—82no—
1551D4—82no—
1552D4—82no—
1553D4—82no—
1554D4—82no—
1555D4—124no—
1556D4—124no—
1557D4—124no—
1558D4—124no—
1559D4—242no—
1560D4—242no—
1561D4—242no—
1562D4—242no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—32no—
1591C2×C4—32no—
1592C2×C4—32no—
1593C2×C4—32no—
1594C2×C4—44no—
1595C2×C4—68no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—61no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—82no—
1635C2×C4—82no—
1636C2×C4—124no—
1637C2×C4—124no—
1638C2×C4—124no—
1639C2×C4—124no—
1640C2×C4—124no—
1641C2×C4—124no—
1642C2×C4—242no—
1643C2×C4—242no—
1644C2×C4C2×D3×D412yes—
1645C2×C4C2×D3×D412yes—
1646C2×C4#100412yes—
1647C2×C3—42no—
1648C2×C3—42no—
1649C2×C3—81no—
1650C2×C3—81no—
1651C2×C3—81no—
1652C2×C3#348411yescharacteristic
1653C2×C3#348811yescharacteristic
1654C2×C3#348911yescharacteristic
1655C2×C3#352911yescharacteristic
1656C2×C3#353611yescharacteristic
1657C2×C3#354111yescharacteristic
1658C2×C3#354211yescharacteristic
1659D3—42no—
1660D3—42no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—62no—
1697C22—62no—
1698C22—62no—
1699C22—62no—
1700C22—62no—
1701C22—62no—
1702C22—1216no—
1703C22—121no—
1704C22—121no—
1705C22—121no—
1706C22—121no—
1707C22—121no—
1708C22—121no—
1709C22—121no—
1710C22—121no—
1711C22C22×D3×D411yescharacteristic
1712C22C2×#100411yescharacteristic
1713C22C2×#100411yescharacteristic
1714C22D3×H(5,𝔽2)11yescharacteristic
1715C22#596611yescharacteristic
1716C22#596611yescharacteristic
1717C22D3×2−1+411yescharacteristic
1718C4—22no—
1719C4—22no—
1720C4—22no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—62no—
1729C4—62no—
1730C4—62no—
1731C4—62no—
1732C4—121no—
1733C4—121no—
1734C4—121no—
1735C4—121no—
1736C4—121no—
1737C4—121no—
1738C4—121no—
1739C4—121no—
1740C4—121no—
1741C4—121no—
1742C3#4545111yescharacteristic, complemented, Sylow
1743C2—42no—
1744C2—42no—
1745C2—81no—
1746C2—81no—
1747C2—81no—
1748C2—122no—
1749C2—122no—
1750C2#8637011yescharacteristic
1751C2#8638011yescharacteristic
1752C2#8638511yescharacteristic
1753C2#8660711yescharacteristic
1754C2#8661511yescharacteristic
1755C2#8662011yescharacteristic
1756C2#8707011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2675C2
hypercenter#2675D3
hypocenterC3#45451
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2675

Complements

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

NH ≅ G/Ntype
1. C2×#5621C2semidirect
2. C2×#5606C2semidirect
3. C3×#2675C2semidirect
4. #82723C2semidirect
5. #82720C2semidirect
6. #82719C2semidirect
7. #82713C2semidirect
8. #82685C2semidirect
9. #82682C2semidirect
10. #82658C2semidirect
11. #82651C2semidirect
12. #82647C2semidirect
13. #82645C2semidirect
14. #77449C2semidirect
15. #77433C2semidirect
16. #77301C2semidirect
17. #77291C2semidirect
18. #76775C2semidirect
19. #76771C2semidirect
20. #76766C2semidirect
21. #76723C2semidirect
22. #76681C2semidirect
23. #76680C2semidirect
24. #76676C2semidirect
25. #76668C2semidirect
26. #74655C2semidirect
27. #74598C2semidirect
28. #74516C2semidirect
29. #74514C2semidirect
30. #74438C2semidirect
31. #74424C2semidirect
39. C2×C3×#121C22semidirect
40. C2×C3×#121C22semidirect
51. C2×#936C22semidirect
53. C2×#935C22semidirect
54. C2×#935C22semidirect
55. C2×#935C22semidirect
58. C2×D4×Dic3C22semidirect
61. C2×#924C22semidirect
68. C2×#889C22semidirect
75. C2×#878C22semidirect
76. C2×#878C22semidirect
77. C2×#878C22semidirect
78. C3×#396C22semidirect
79. C3×#396C22semidirect
82. C3×#392C22semidirect
83. C3×#392C22semidirect
85. C3×#385C22semidirect
86. C3×#385C22semidirect
97. #5222C22semidirect
98. #5222C22semidirect
99. #5222C22semidirect
100. #5222C22semidirect
105. #5220C22semidirect
106. #5220C22semidirect
107. #5220C22semidirect
113. #5210C22semidirect
114. C4×#217C22semidirect
115. C2×C3⋊#95C22semidirect
124. #4982C22semidirect
125. #4982C22semidirect
126. #4981C22semidirect
127. #4980C22semidirect
128. #4979C22semidirect
129. #4979C22semidirect
130. #4976C22semidirect
131. #4976C22semidirect
132. #4976C22semidirect
133. #4973C22semidirect
134. #4972C22semidirect
154. #4952C22semidirect
155. #4951C22semidirect
156. #4951C22semidirect
157. #4951C22semidirect
158. #4950C22semidirect
159. #4949C22semidirect
160. #4948C22semidirect
161. #4948C22semidirect
162. #4948C22semidirect
163. #4948C22semidirect
164. #4947C22semidirect
165. #4947C22semidirect
166. #4946C22semidirect
168. #4945C22semidirect
170. #4944C22semidirect
171. #4944C22semidirect
173. #4942C22semidirect
182. #4660C22semidirect
183. #4659C22semidirect
184. #4656C22semidirect
185. #4655C22semidirect
186. #4653C22semidirect
187. #4653C22semidirect
188. #4649C22semidirect
189. #4646C22semidirect
204. #2675D3semidirect
386. #883D4semidirect
456. C2×#121C2×D3semidirect
457. C2×#121C2×D3semidirect
486. #396C2×D3semidirect
487. #396C2×D3semidirect
514. #392C2×D3semidirect
515. #392C2×D3semidirect
566. #385C2×D3semidirect
567. #385C2×D3semidirect
1742. C3#45451semidirect

Maximal subgroups

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

subgroupindex
C2×#56212
C2×#56062
C3×#26752
#827232
#827202
#827192
#827132
#826852
#826822
#826582
#826512
#826472
#826452
#774492
#774332
#773012
#772912
#767752
#767712
#767662
#767232
#766812
#766802
#766762
#766682
#746552
#745982
#745162
#745142
#744382
#744242
#454513