Finite Group Databasebeta

← #11330722

Subgroups — #11330722

Order 768.

2646 conjugacy classes of subgroups.

The subgroup lattice has 1826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5804C211yesmaximal, characteristic, complemented
2C2×#5616C211yesmaximal, characteristic, complemented
3C3×#2410C211yesmaximal, characteristic, complemented
4#84050C211yesmaximal, characteristic, complemented
5#82713C211yesmaximal, characteristic, complemented
6#82686C211yesmaximal, characteristic, complemented
7#82682C211yesmaximal, characteristic, complemented
8#82608C211yesmaximal, characteristic, complemented
9#82605C211yesmaximal, characteristic, complemented
10#82595C211yesmaximal, characteristic, complemented
11#82590C211yesmaximal, characteristic, complemented
12#82128C211yesmaximal, characteristic, complemented
13#82106C211yesmaximal, characteristic, complemented
14#77109C211yesmaximal, characteristic, complemented
15#77009C211yesmaximal, characteristic, complemented
16#77002C211yesmaximal, characteristic, complemented
17#76973C211yesmaximal, characteristic, complemented
18#76766C211yesmaximal, characteristic, complemented
19#76716C211yesmaximal, characteristic, complemented
20#76702C211yesmaximal, characteristic, complemented
21#76685C211yesmaximal, characteristic, complemented
22#74914C211yesmaximal, characteristic, complemented
23#74892C211yesmaximal, characteristic, complemented
24#74796C211yesmaximal, characteristic, complemented
25#74724C211yesmaximal, characteristic, complemented
26#74723C211yesmaximal, characteristic, complemented
27#74683C211yesmaximal, characteristic, complemented
28#74508C211yesmaximal, characteristic, complemented
29#74438C211yesmaximal, characteristic, complemented
30#73832C211yesmaximal, characteristic, complemented
31#73827C211yesmaximal, characteristic, complemented
32#48777—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic, complemented
37C2×C3×#120C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic, complemented
39C22×C3×C22⋊C4C2211yescharacteristic, complemented
40C2×#953C2211yescharacteristic
41C2×#953C2211yescharacteristic
42C22×#217C2211yescharacteristic
43#5804—28no—
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic, complemented
49C2×#938C2211yescharacteristic
50C2×#938C2211yescharacteristic, complemented
51C2×#937C2211yescharacteristic
52C2×#937C2211yescharacteristic
53C2×#937C2211yescharacteristic, complemented
54C2×#936C2211yescharacteristic
55C2×#936C2211yescharacteristic, complemented
56C2×#936C2211yescharacteristic, complemented
57C2×#935C2211yescharacteristic
58C2×#935C2211yescharacteristic
59C2×#935C2211yescharacteristic, complemented
60C2×D4×Dic3C2211yescharacteristic, complemented
61C2×#929C2211yescharacteristic
62C2×#929C2211yescharacteristic
63C2×#929C2211yescharacteristic, complemented
64C2×C4×#67C2211yescharacteristic, complemented
65C2×#926C2211yescharacteristic, complemented
66C2×#924C2211yescharacteristic, complemented
67#5616—28no—
68C2×#892C2211yescharacteristic, complemented
69C2×#888C2211yescharacteristic, complemented
70C2×#885C2211yescharacteristic
71C2×#885C2211yescharacteristic, complemented
72C2×#885C2211yescharacteristic, complemented
73C2×#883C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic, complemented
75C2×#878C2211yescharacteristic, complemented
76C2×#877C2211yescharacteristic, complemented
77C2×#877C2211yescharacteristic, complemented
78C3×#394C2211yescharacteristic
79C3×#394C2211yescharacteristic, complemented
80C3×#392C2211yescharacteristic
81C3×#392C2211yescharacteristic, complemented
82C3×#386C2211yescharacteristic
83C3×#386C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic, complemented
85C3×#385C2211yescharacteristic, complemented
86C3×#379C2211yescharacteristic
87#5247C2211yescharacteristic
88#5247C2211yescharacteristic
89#5247C2211yescharacteristic, complemented
90#5247C2211yescharacteristic, complemented
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic, complemented
93#5223C2211yescharacteristic, complemented
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5222C2211yescharacteristic
97#5222C2211yescharacteristic
98#5222C2211yescharacteristic, complemented
99#5222C2211yescharacteristic, complemented
100#5222C2211yescharacteristic, complemented
101#5222C2211yescharacteristic, complemented
102#5222C2211yescharacteristic, complemented
103#5221C2211yescharacteristic
104#5221C2211yescharacteristic, complemented
105#5221C2211yescharacteristic, complemented
106#5220C2211yescharacteristic, complemented
107#5220C2211yescharacteristic, complemented
108#5220C2211yescharacteristic, complemented
109#5220C2211yescharacteristic, complemented
110#5213C2211yescharacteristic, complemented
111#5213C2211yescharacteristic, complemented
112#5212C2211yescharacteristic, complemented
113#5210C2211yescharacteristic, complemented
114#5210C2211yescharacteristic, complemented
115C4×#217C2211yescharacteristic, complemented
116#4994C2211yescharacteristic, complemented
117#4993C2211yescharacteristic, complemented
118#4992C2211yescharacteristic, complemented
119#4979C2211yescharacteristic, complemented
120#4976C2211yescharacteristic, complemented
121#4976C2211yescharacteristic, complemented
122#4961C2211yescharacteristic
123#4961C2211yescharacteristic
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4961C2211yescharacteristic, complemented
128#4959C2211yescharacteristic
129#4959C2211yescharacteristic, complemented
130#4959C2211yescharacteristic, complemented
131#4959C2211yescharacteristic, complemented
132#4958C2211yescharacteristic, complemented
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4957C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4956C2211yescharacteristic, complemented
142#4955C2211yescharacteristic, complemented
143#4955C2211yescharacteristic, complemented
144#4953C2211yescharacteristic, complemented
145#4952C2211yescharacteristic, complemented
146#4952C2211yescharacteristic, complemented
147#4952C2211yescharacteristic, complemented
148#4951C2211yescharacteristic, complemented
149#4951C2211yescharacteristic, complemented
150#4951C2211yescharacteristic, complemented
151#4950C2211yescharacteristic, complemented
152#4950C2211yescharacteristic, complemented
153#4949C2211yescharacteristic, complemented
154#4949C2211yescharacteristic, complemented
155#4949C2211yescharacteristic, complemented
156#4949C2211yescharacteristic, complemented
157#4948C2211yescharacteristic, complemented
158#4948C2211yescharacteristic, complemented
159#4948C2211yescharacteristic, complemented
160#4948C2211yescharacteristic, complemented
161#4948C2211yescharacteristic, complemented
162#4947C2211yescharacteristic, complemented
163#4946C2211yescharacteristic, complemented
164#4945C2211yescharacteristic, complemented
165#4945C2211yescharacteristic, complemented
166#4945C2211yescharacteristic, complemented
167#4945C2211yescharacteristic, complemented
168#4945C2211yescharacteristic, complemented
169#4944C2211yescharacteristic, complemented
170#4943C2211yescharacteristic, complemented
171#4943C2211yescharacteristic, complemented
172#4942C2211yescharacteristic, complemented
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174#4675C2211yescharacteristic, complemented
175#4673C2211yescharacteristic, complemented
176#4670C2211yescharacteristic, complemented
177#4669C2211yescharacteristic, complemented
178#4669C2211yescharacteristic, complemented
179#4668C2211yescharacteristic, complemented
180#4668C2211yescharacteristic, complemented
181#4667C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4652C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#555—31no—
191C2×#534—31no—
192#2686—31no—
193#2686—31no—
194#2682—31no—
195#2682—31no—
196#2674—31no—
197#2674—31no—
198#2672—31no—
199#2672—31no—
200#2670—31no—
201#2670—31no—
202#2668—31no—
203#2668—31no—
204#2635—31no—
205#2624—31no—
206#2534—31no—
207#2482—31no—
208#2471—31no—
209#2471—31no—
210#2470—31no—
211#2470—31no—
212#2435—31no—
213#2435—31no—
214#2418—31no—
215#2418—31no—
216#2411—31no—
217#2411—31no—
218#2410—31no—
219#2410D311yescharacteristic, complemented
220#2377—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4—24no—
225C22×C3×D4—42no—
226C22×C3×D4—42no—
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C22×#67—24no—
240C22×#67—42no—
241C22×#67—42no—
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×Dic6C2311yescharacteristic
259C22×Dic6C2311yescharacteristic
260C3×#121—24no—
261C3×#121—42no—
262C3×#120—42no—
263C3×#120—42no—
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4—42no—
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊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
282#953—24no—
283#953—24no—
284C2×#217—24no—
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
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318#939—24no—
319#939—24no—
320#939—24no—
321#939—24no—
322#939D418yescomplemented
323#938—24no—
324#938—42no—
325#937—24no—
326#937—24no—
327#937—42no—
328#936—24no—
329#936—24no—
330#936—42no—
331#935—24no—
332#935—24no—
333#935—42no—
334D4×Dic3—24no—
335#929—24no—
336#929—24no—
337#929—42no—
338C4×#67—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355#926—24no—
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363#924—42no—
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×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387#892—24no—
388#888—24no—
389#885—24no—
390#885—24no—
391#885—42no—
392#883—42no—
393D3×C22⋊C4—42no—
394#878—42no—
395#877—24no—
396#877—24no—
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
423C23×D4—31no—
424C23×D4C2×D311yescharacteristic
425#555—68no—
426#534—68no—
427C2×C4⋊Q8—31no—
428C2×#124—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#124—31no—
432C2×#124—31no—
433C2×#124—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121C2×D311yescharacteristic
451C2×#121C2×D311yescharacteristic, complemented
452C2×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120C2×D311yescharacteristic
458C2×#120C2×D311yescharacteristic, complemented
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×#117—31no—
462C2×#117—31no—
463C2×#117—31no—
464C2×#117—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4C2×D311yescharacteristic, complemented
468#400—31no—
469#399—31no—
470#399—31no—
471#399—31no—
472#399—31no—
473#399—31no—
474#397—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#395—31no—
487#395—31no—
488#394—31no—
489#394—31no—
490#394—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#394—31no—
504#394—31no—
505#394C2×D311yescharacteristic
506#394C2×D311yescharacteristic, complemented
507#393—31no—
508#393—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392C2×D311yescharacteristic
515#392C2×D311yescharacteristic, complemented
516#390—31no—
517#390—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#388—31no—
539#388—31no—
540#387—31no—
541#387—31no—
542#387—31no—
543#387—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#386C2×D311yescharacteristic
556#386C2×D311yescharacteristic, complemented
557#386C2×D311yescharacteristic, complemented
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385C2×D311yescharacteristic, complemented
566#381—31no—
567#381—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#379—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576#379—31no—
577#379C2×D311yescharacteristic
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3—41no—
588C24×C3—41no—
589C24×C3—41no—
590C24×C3—41no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3—41no—
594C24×C3C2411yescharacteristic
595C24×C3C2411yescharacteristic
596C24×C3C2411yescharacteristic
597C24×C3C2411yescharacteristic
598C24×C3C2411yescharacteristic
599C24×C3C2411yescharacteristic
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—416no—
636C2×C3×D4C2×D414yes—
637C22×C3×C4—22no—
638C22×C3×C4—22no—
639C22×C3×C4—22no—
640C22×C3×C4—22no—
641C22×C3×C4—41no—
642C22×C3×C4—41no—
643C22×C3×C4—41no—
644C22×C3×C4—41no—
645C22×C3×C4—41no—
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—416no—
684C2×#67C2×D414yes—
685C2×#67C2×D414yes—
686C22×Dic3—22no—
687C22×Dic3—22no—
688C22×Dic3—22no—
689C22×Dic3—22no—
690C22×Dic3—41no—
691C22×Dic3—41no—
692C22×Dic3—41no—
693C22×Dic3—41no—
694C22×Dic3—41no—
695C22×Dic3—41no—
696C22×Dic3—41no—
697C22×Dic3C2×D414yes—
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×Dic6—22no—
719C2×Dic6—22no—
720C2×Dic6—41no—
721C2×Dic6—41no—
722C2×Dic6—41no—
723C2×Dic6—41no—
724C3×C4⋊C4—22no—
725C3×C4⋊C4—41no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—22no—
731C3×C22⋊C4—22no—
732C3×C22⋊C4—22no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4—41no—
735C3×C22⋊C4—41no—
736C3×C22⋊C4—41no—
737C3×C22⋊C4—41no—
738C3×C22⋊C4—41no—
739C3×C22⋊C4—41no—
740C3×C22⋊C4—41no—
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—22no—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—22no—
757#217—22no—
758#217—41no—
759#217—41no—
760#217—41no—
761#217—41no—
762#217—41no—
763#217—41no—
764#217—41no—
765#217—41no—
766#217—41no—
767#217—41no—
768#217—41no—
769#217—41no—
770#217—41no—
771#217—41no—
772#217—41no—
773#217C2×D414yes—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4C2×D414yes—
790C4⋊Dic3—22no—
791C4⋊Dic3—22no—
792C4⋊Dic3—41no—
793C4⋊Dic3—41no—
794C4⋊Dic3—41no—
795C4⋊Dic3—41no—
796C4⋊Dic3—41no—
797Dic3⋊C4—22no—
798Dic3⋊C4—22no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806Dic3⋊C4—41no—
807Dic3⋊C4—41no—
808Dic3⋊C4—41no—
809Dic3⋊C4—41no—
810Dic3⋊C4—41no—
811Dic3⋊C4—41no—
812Dic3⋊C4C2×D414yes—
813C4×Dic3—22no—
814C4×Dic3—22no—
815C4×Dic3—22no—
816C4×Dic3—22no—
817C4×Dic3—22no—
818C4×Dic3—41no—
819C4×Dic3—41no—
820C25—31no—
821C25C22×D311yescharacteristic
822C25C22×D311yescharacteristic
823C22×Q8—31no—
824C22×Q8—31no—
825C22×D4—24no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—42no—
837C22×D4—42no—
838C22×D4—64no—
839C22×D4—122no—
840C22×D4—122no—
841C22×D4C22×D311yescharacteristic
842C22×D4C22×D311yescharacteristic
843C22×D4C22×D311yescharacteristic
844C22×D4C22×D311yescharacteristic
845C22×D4C22×D311yescharacteristic
846C22×D4C22×D311yescharacteristic
847C22×D4C22×D311yescharacteristic
848C22×D4C22×D311yescharacteristic
849C22×D4C22×D311yescharacteristic
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—31no—
855C23×C4—31no—
856C23×C4C22×D311yescharacteristic
857C23×C4C22×D311yescharacteristic
858C23×C4C22×D311yescharacteristic
859C4⋊Q8—64no—
860#124—64no—
861#124—64no—
862#124—64no—
863#124—64no—
864#124—122no—
865#124—122no—
866#123—64no—
867#123—64no—
868#123—64no—
869#123—64no—
870#123—122no—
871#123—122no—
872#123—122no—
873C22⋊Q8—122no—
874C22⋊Q8—122no—
875#121—24no—
876#121—38no—
877#121—42no—
878#121—64no—
879#121—64no—
880#121—64no—
881#121—64no—
882#121—64no—
883#121—122no—
884#120—42no—
885#120—42no—
886#120—64no—
887#120—64no—
888#120—64no—
889#120—64no—
890#120—122no—
891C4×D4—64no—
892C4×D4—64no—
893#117—64no—
894#117—64no—
895#117—64no—
896#117—64no—
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⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
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⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—42no—
972C2×C22⋊C4—64no—
973C2×C22⋊C4—122no—
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C42—31no—
990C2×C42—31no—
991C2×C42—31no—
992C2×C42—31no—
993C2×C42—31no—
994C2×C42—31no—
995C2×C42—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#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95C22×D311yescharacteristic
1019#95C22×D311yescharacteristic
1020#95C22×D311yescharacteristic
1021#95C22×D311yescharacteristic
1022C23×C3—28no—
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×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—44no—
1062C23×C3—44no—
1063C23×C3—82no—
1064C23×C3—82no—
1065C23×C3—82no—
1066C23×C3—82no—
1067C23×C3—82no—
1068C23×C3—82no—
1069C23×C3—82no—
1070C23×C3—82no—
1071C23×C3—82no—
1072C23×C3—82no—
1073C23×C3—82no—
1074C23×C3C22×D412yes—
1075C23×C3C22×D412yes—
1076C23×C3H(5,𝔽2)12yes—
1077C23×C3H(5,𝔽2)12yes—
1078C23×C3C2511yescharacteristic
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—44no—
1093C22×D3—44no—
1094C22×D3—82no—
1095C22×D3—82no—
1096C22×D3—82no—
1097C22×D3—82no—
1098C22×D3—82no—
1099C22×D3C22×D412yes—
1100C3×D4—44no—
1101C3×D4—44no—
1102C3×D4—44no—
1103C3×D4—44no—
1104C3×D4—44no—
1105C3×D4—82no—
1106C3×D4—82no—
1107C3×D4—82no—
1108C3×D4—82no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—44no—
1135C2×C3×C4—44no—
1136C2×C3×C4—82no—
1137C2×C3×C4C22×D412yes—
1138C2×C3×C4H(5,𝔽2)12yes—
1139#67—44no—
1140#67—44no—
1141#67—44no—
1142#67—44no—
1143#67—44no—
1144#67—82no—
1145#67—82no—
1146#67—82no—
1147#67—82no—
1148#67—82no—
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—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—44no—
1189C2×Dic3—44no—
1190C2×Dic3—44no—
1191C2×Dic3—82no—
1192C2×Dic3C22×D412yes—
1193C2×Dic3C22×D412yes—
1194C2×Dic3C22×D412yes—
1195C4×D3—44no—
1196C4×D3—82no—
1197Dic6—82no—
1198Dic6—82no—
1199C24—22no—
1200C24—22no—
1201C24—22no—
1202C24—22no—
1203C24—22no—
1204C24—31no—
1205C24—31no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24—41no—
1214C24—41no—
1215C24—62no—
1216C24—62no—
1217C24—121no—
1218C24—121no—
1219C24—121no—
1220C24—121no—
1221C24—121no—
1222C24C23×D311yescharacteristic
1223C24C23×D311yescharacteristic
1224C24C23×D311yescharacteristic
1225C24C23×D311yescharacteristic
1226C24C23×D311yescharacteristic
1227C24C23×D311yescharacteristic
1228C2×Q8—62no—
1229C2×Q8—62no—
1230C2×Q8—121no—
1231C2×Q8—121no—
1232C2×Q8—121no—
1233C2×Q8—121no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—34no—
1245C2×D4—34no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—416no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—1216no—
1292C2×D4D3×D414yes—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—31no—
1298C22×C4—31no—
1299C22×C4—31no—
1300C22×C4—34no—
1301C22×C4—31no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—31no—
1307C22×C4—31no—
1308C22×C4—31no—
1309C22×C4—31no—
1310C22×C4—31no—
1311C22×C4—31no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—62no—
1318C22×C4—62no—
1319C22×C4—62no—
1320C22×C4—62no—
1321C22×C4—62no—
1322C22×C4—62no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4—121no—
1326C22×C4—121no—
1327C22×C4—121no—
1328C22×C4—121no—
1329C22×C4—121no—
1330C22×C4—121no—
1331C22×C4—121no—
1332C22×C4—121no—
1333C22×C4—121no—
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C22×C4C23×D311yescharacteristic
1340C22×C4C23×D311yescharacteristic
1341C22×C4C23×D311yescharacteristic
1342C22×C4C23×D311yescharacteristic
1343C4⋊C4—22no—
1344C4⋊C4—34no—
1345C4⋊C4—41no—
1346C4⋊C4—62no—
1347C4⋊C4—62no—
1348C4⋊C4—62no—
1349C4⋊C4—62no—
1350C4⋊C4—62no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—62no—
1355C4⋊C4—121no—
1356C4⋊C4—121no—
1357C4⋊C4—121no—
1358C4⋊C4—121no—
1359C4⋊C4—121no—
1360C4⋊C4—121no—
1361C4⋊C4—121no—
1362C4⋊C4—121no—
1363C4⋊C4—121no—
1364C4⋊C4—121no—
1365C4⋊C4—121no—
1366C4⋊C4—121no—
1367C4⋊C4—121no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—34no—
1376C22⋊C4—34no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C42—62no—
1433C42—62no—
1434C42—62no—
1435C42—62no—
1436C42—62no—
1437C42—121no—
1438C42—121no—
1439C22×C3—22no—
1440C22×C3—22no—
1441C22×C3—22no—
1442C22×C3—22no—
1443C22×C3—22no—
1444C22×C3—22no—
1445C22×C3—22no—
1446C22×C3—22no—
1447C22×C3—22no—
1448C22×C3—22no—
1449C22×C3—22no—
1450C22×C3—22no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3—41no—
1459C22×C3—41no—
1460C22×C3—41no—
1461C22×C3—41no—
1462C22×C3—41no—
1463C22×C3—41no—
1464C22×C3—41no—
1465C22×C3—41no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3—41no—
1479C22×C3—41no—
1480C22×C3—41no—
1481C22×C3—88no—
1482C22×C3—88no—
1483C22×C3C23×D411yescharacteristic
1484C22×C3C2×H(5,𝔽2)11yescharacteristic
1485C22×C3C2×H(5,𝔽2)11yescharacteristic
1486C22×C3C2×H(5,𝔽2)11yescharacteristic
1487C22×C3#58511yescharacteristic
1488C22×C3#58511yescharacteristic
1489C22×C3#58511yescharacteristic
1490C2×D3—22no—
1491C2×D3—22no—
1492C2×D3—22no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3—41no—
1503C2×D3—41no—
1504C2×D3—88no—
1505C3×C4—22no—
1506C3×C4—22no—
1507C3×C4—41no—
1508C3×C4—41no—
1509C3×C4—41no—
1510C3×C4—41no—
1511C3×C4—41no—
1512C3×C4—41no—
1513C3×C4—41no—
1514Dic3—22no—
1515Dic3—22no—
1516Dic3—22no—
1517Dic3—41no—
1518Dic3—41no—
1519Dic3—41no—
1520Dic3—41no—
1521Dic3—41no—
1522Dic3—41no—
1523Dic3—41no—
1524Dic3—41no—
1525Dic3—41no—
1526Dic3—41no—
1527Dic3—41no—
1528C23—28no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—32no—
1568C23—44no—
1569C23—44no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—82no—
1584C23—82no—
1585C23—82no—
1586C23—82no—
1587C23—82no—
1588C23—82no—
1589C23—82no—
1590C23—82no—
1591C23—82no—
1592C23—82no—
1593C23—82no—
1594C23—124no—
1595C23—124no—
1596C23—242no—
1597C23—242no—
1598C23—242no—
1599C23—242no—
1600C23—242no—
1601C23C2×D3×D412yes—
1602C23C2×D3×D412yes—
1603C23#100412yes—
1604C23#100412yes—
1605C23C24×D311yescharacteristic
1606Q8—242no—
1607Q8—242no—
1608D4—44no—
1609D4—44no—
1610D4—44no—
1611D4—44no—
1612D4—44no—
1613D4—82no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—124no—
1618D4—124no—
1619D4—124no—
1620D4—124no—
1621D4—124no—
1622D4—242no—
1623D4—242no—
1624D4—242no—
1625D4—242no—
1626D4—242no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—32no—
1653C2×C4—32no—
1654C2×C4—32no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—82no—
1697C2×C4—124no—
1698C2×C4—124no—
1699C2×C4—124no—
1700C2×C4—124no—
1701C2×C4—242no—
1702C2×C4—242no—
1703C2×C4C2×D3×D412yes—
1704C2×C4#100412yes—
1705C2×C3—42no—
1706C2×C3—42no—
1707C2×C3—42no—
1708C2×C3—42no—
1709C2×C3—81no—
1710C2×C3—81no—
1711C2×C3#348411yescharacteristic
1712C2×C3#348511yescharacteristic
1713C2×C3#348811yescharacteristic
1714C2×C3#354211yescharacteristic
1715C2×C3#354211yescharacteristic
1716C2×C3#354511yescharacteristic
1717C2×C3#354511yescharacteristic
1718D3—42no—
1719D3—81no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—22no—
1731C22—22no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—62no—
1763C22—62no—
1764C22—62no—
1765C22—88no—
1766C22—88no—
1767C22—121no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—121no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22—248no—
1779C22C22×D3×D411yescharacteristic
1780C22C2×#100411yescharacteristic
1781C22C2×#100411yescharacteristic
1782C22C2×#100411yescharacteristic
1783C22#596411yescharacteristic
1784C22#596611yescharacteristic
1785C22#596611yescharacteristic
1786C4—22no—
1787C4—22no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—62no—
1796C4—62no—
1797C4—62no—
1798C4—121no—
1799C4—121no—
1800C4—121no—
1801C4—121no—
1802C4—121no—
1803C4—121no—
1804C4—121no—
1805C4—121no—
1806C4—121no—
1807C4—121no—
1808C4—121no—
1809C3#4877711yescharacteristic, complemented, Sylow
1810C2—42no—
1811C2—42no—
1812C2—42no—
1813C2—42no—
1814C2—81no—
1815C2—81no—
1816C2—122no—
1817C2—241no—
1818C2#8591911yescharacteristic
1819C2#8595611yescharacteristic
1820C2#8630411yescharacteristic
1821C2#8660711yescharacteristic
1822C2#8661511yescharacteristic
1823C2#8665211yescharacteristic
1824C2#8666311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2410C2
hypercenter#2410D3
hypocenterC3#48777
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C2×#5804C2semidirect
2. C2×#5616C2semidirect
3. C3×#2410C2semidirect
4. #84050C2semidirect
5. #82713C2semidirect
6. #82686C2semidirect
7. #82682C2semidirect
8. #82608C2semidirect
9. #82605C2semidirect
10. #82595C2semidirect
11. #82590C2semidirect
12. #82128C2semidirect
13. #82106C2semidirect
14. #77109C2semidirect
15. #77009C2semidirect
16. #77002C2semidirect
17. #76973C2semidirect
18. #76766C2semidirect
19. #76716C2semidirect
20. #76702C2semidirect
21. #76685C2semidirect
22. #74914C2semidirect
23. #74892C2semidirect
24. #74796C2semidirect
25. #74724C2semidirect
26. #74723C2semidirect
27. #74683C2semidirect
28. #74508C2semidirect
29. #74438C2semidirect
30. #73832C2semidirect
31. #73827C2semidirect
36. C2×C3×#121C22semidirect
38. C2×C3×#120C22semidirect
39. C22×C3×C22⋊C4C22semidirect
48. C2×#939C22semidirect
50. C2×#938C22semidirect
53. C2×#937C22semidirect
55. C2×#936C22semidirect
56. C2×#936C22semidirect
59. C2×#935C22semidirect
60. C2×D4×Dic3C22semidirect
63. C2×#929C22semidirect
64. C2×C4×#67C22semidirect
65. C2×#926C22semidirect
66. C2×#924C22semidirect
68. C2×#892C22semidirect
69. C2×#888C22semidirect
71. C2×#885C22semidirect
72. C2×#885C22semidirect
73. C2×#883C22semidirect
74. C2×D3×C22⋊C4C22semidirect
75. C2×#878C22semidirect
76. C2×#877C22semidirect
77. C2×#877C22semidirect
79. C3×#394C22semidirect
81. C3×#392C22semidirect
83. C3×#386C22semidirect
84. C3×#386C22semidirect
85. C3×#385C22semidirect
89. #5247C22semidirect
90. #5247C22semidirect
92. #5223C22semidirect
93. #5223C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
98. #5222C22semidirect
99. #5222C22semidirect
100. #5222C22semidirect
101. #5222C22semidirect
102. #5222C22semidirect
104. #5221C22semidirect
105. #5221C22semidirect
106. #5220C22semidirect
107. #5220C22semidirect
108. #5220C22semidirect
109. #5220C22semidirect
110. #5213C22semidirect
111. #5213C22semidirect
112. #5212C22semidirect
113. #5210C22semidirect
114. #5210C22semidirect
115. C4×#217C22semidirect
116. #4994C22semidirect
117. #4993C22semidirect
118. #4992C22semidirect
119. #4979C22semidirect
120. #4976C22semidirect
121. #4976C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
127. #4961C22semidirect
129. #4959C22semidirect
130. #4959C22semidirect
131. #4959C22semidirect
132. #4958C22semidirect
134. #4957C22semidirect
135. #4957C22semidirect
136. #4957C22semidirect
137. #4957C22semidirect
139. #4956C22semidirect
140. #4956C22semidirect
141. #4956C22semidirect
142. #4955C22semidirect
143. #4955C22semidirect
144. #4953C22semidirect
145. #4952C22semidirect
146. #4952C22semidirect
147. #4952C22semidirect
148. #4951C22semidirect
149. #4951C22semidirect
150. #4951C22semidirect
151. #4950C22semidirect
152. #4950C22semidirect
153. #4949C22semidirect
154. #4949C22semidirect
155. #4949C22semidirect
156. #4949C22semidirect
157. #4948C22semidirect
158. #4948C22semidirect
159. #4948C22semidirect
160. #4948C22semidirect
161. #4948C22semidirect
162. #4947C22semidirect
163. #4946C22semidirect
164. #4945C22semidirect
165. #4945C22semidirect
166. #4945C22semidirect
167. #4945C22semidirect
168. #4945C22semidirect
169. #4944C22semidirect
170. #4943C22semidirect
171. #4943C22semidirect
172. #4942C22semidirect
173. Dic3×C22⋊C4C22semidirect
174. #4675C22semidirect
175. #4673C22semidirect
176. #4670C22semidirect
177. #4669C22semidirect
178. #4669C22semidirect
179. #4668C22semidirect
180. #4668C22semidirect
181. #4667C22semidirect
182. #4660C22semidirect
183. #4656C22semidirect
184. #4655C22semidirect
185. #4653C22semidirect
186. #4652C22semidirect
187. #4652C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
219. #2410D3semidirect
322. #939D4semidirect
451. C2×#121C2×D3semidirect
458. C2×#120C2×D3semidirect
467. C22×C22⋊C4C2×D3semidirect
506. #394C2×D3semidirect
515. #392C2×D3semidirect
556. #386C2×D3semidirect
557. #386C2×D3semidirect
565. #385C2×D3semidirect
1809. C3#48777semidirect

Maximal subgroups

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

subgroupindex
C2×#58042
C2×#56162
C3×#24102
#840502
#827132
#826862
#826822
#826082
#826052
#825952
#825902
#821282
#821062
#771092
#770092
#770022
#769732
#767662
#767162
#767022
#766852
#749142
#748922
#747962
#747242
#747232
#746832
#745082
#744382
#738322
#738272
#487773