Finite Group Databasebeta

← #11024956

Subgroups — #11024956

Order 768.

2584 conjugacy classes of subgroups.

The subgroup lattice has 1748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5716C211yesmaximal, characteristic, complemented
2C2×#5613C211yesmaximal, characteristic, complemented
3C3×#2673C211yesmaximal, characteristic, complemented
4#83182C211yesmaximal, characteristic, complemented
5#82897C211yesmaximal, characteristic, complemented
6#82847C211yesmaximal, characteristic, complemented
7#82707C211yesmaximal, characteristic, complemented
8#82656C211yesmaximal, characteristic, complemented
9#82645C211yesmaximal, characteristic, complemented
10#77126C211yesmaximal, characteristic, complemented
11#77117C211yesmaximal, characteristic, complemented
12#76920C211yesmaximal, characteristic, complemented
13#76911C211yesmaximal, characteristic, complemented
14#76761C211yesmaximal, characteristic, complemented
15#76756C211yesmaximal, characteristic, complemented
16#76754C211yesmaximal, characteristic, complemented
17#76754C211yesmaximal, characteristic, complemented
18#76727C211yesmaximal, characteristic, complemented
19#76726C211yesmaximal, characteristic, complemented
20#76684C211yesmaximal, characteristic, complemented
21#76679C211yesmaximal, characteristic, complemented
22D3×#388C211yesmaximal, characteristic, complemented
23#75695C211yesmaximal, characteristic, complemented
24#75448C211yesmaximal, characteristic, complemented
25#75164C211yesmaximal, characteristic, complemented
26#74877C211yesmaximal, characteristic, complemented
27#74822C211yesmaximal, characteristic, complemented
28#74821C211yesmaximal, characteristic, complemented
29#74706C211yesmaximal, characteristic, complemented
30#74672C211yesmaximal, characteristic, complemented
31#74672C211yesmaximal, characteristic, complemented
32#37697—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C2×C3×#127C2211yescharacteristic, complemented
36C2×C3×#123C2211yescharacteristic, complemented
37C2×C3×#121C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic
39C2×#939C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#938C2211yescharacteristic
42C2×#938C2211yescharacteristic
43C2×#938C2211yescharacteristic
44C2×#938C2211yescharacteristic
45C2×#937C2211yescharacteristic
46C2×#937C2211yescharacteristic
47C2×#937C2211yescharacteristic
48C2×#937C2211yescharacteristic
49C2×#936C2211yescharacteristic
50C2×#936C2211yescharacteristic, complemented
51C2×#936C2211yescharacteristic, complemented
52C2×#935C2211yescharacteristic
53C2×#935C2211yescharacteristic, complemented
54C2×D4×Dic3C2211yescharacteristic, complemented
55C2×D4×Dic3C2211yescharacteristic, complemented
56C2×D4×Dic3C2211yescharacteristic, complemented
57C2×D4×Dic3C2211yescharacteristic, complemented
58C2×#929C2211yescharacteristic
59C2×C4×#67C2211yescharacteristic
60C2×C4×#67C2211yescharacteristic
61#5716—28no—
62#5613—28no—
63C2×#898C2211yescharacteristic
64C2×#896C2211yescharacteristic
65C2×D3×C4⋊C4C2211yescharacteristic
66C2×#885C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×#879C2211yescharacteristic
73C2×C42×D3C2211yescharacteristic
74C2×#869C2211yescharacteristic, complemented
75C3×#394C2211yescharacteristic, complemented
76C3×#394C2211yescharacteristic, complemented
77C3×#392C2211yescharacteristic
78C3×#392C2211yescharacteristic
79C3×#392C2211yescharacteristic
80C3×#392C2211yescharacteristic
81C3×#388C2211yescharacteristic
82C3×#387C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic, complemented
85C3×#386C2211yescharacteristic, complemented
86#5223C2211yescharacteristic
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5222C2211yescharacteristic
91#5222C2211yescharacteristic
92#5222C2211yescharacteristic
93#5222C2211yescharacteristic
94#5222C2211yescharacteristic, complemented
95#5222C2211yescharacteristic, complemented
96#5221C2211yescharacteristic
97#5220C2211yescharacteristic
98#5220C2211yescharacteristic
99#5220C2211yescharacteristic
100#5220C2211yescharacteristic
101#5220C2211yescharacteristic
102#5220C2211yescharacteristic, complemented
103#5220C2211yescharacteristic, complemented
104#5220C2211yescharacteristic, complemented
105#5213C2211yescharacteristic
106#5210C2211yescharacteristic, complemented
107#5210C2211yescharacteristic, complemented
108C2×C3⋊#95C2211yescharacteristic, complemented
109C2×C3⋊#95C2211yescharacteristic, complemented
110#4994C2211yescharacteristic
111#4990C2211yescharacteristic
112#4989C2211yescharacteristic
113#4986C2211yescharacteristic, complemented
114#4982C2211yescharacteristic, complemented
115#4982C2211yescharacteristic, complemented
116#4980C2211yescharacteristic, complemented
117#4978C2211yescharacteristic, complemented
118#4976C2211yescharacteristic, complemented
119#4961C2211yescharacteristic
120#4959C2211yescharacteristic
121#4959C2211yescharacteristic
122#4959C2211yescharacteristic
123#4958C2211yescharacteristic
124#4958C2211yescharacteristic
125#4958C2211yescharacteristic
126#4958C2211yescharacteristic
127#4957C2211yescharacteristic
128#4956C2211yescharacteristic
129#4956C2211yescharacteristic
130#4956C2211yescharacteristic
131#4956C2211yescharacteristic
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic
135#4956C2211yescharacteristic
136#4953C2211yescharacteristic
137#4953C2211yescharacteristic, complemented
138#4952C2211yescharacteristic, complemented
139#4952C2211yescharacteristic, complemented
140#4952C2211yescharacteristic, complemented
141#4951C2211yescharacteristic
142#4951C2211yescharacteristic
143#4951C2211yescharacteristic, complemented
144#4950C2211yescharacteristic, complemented
145#4949C2211yescharacteristic, complemented
146#4949C2211yescharacteristic, complemented
147#4948C2211yescharacteristic
148#4947C2211yescharacteristic
149#4947C2211yescharacteristic
150#4947C2211yescharacteristic, complemented
151#4947C2211yescharacteristic, complemented
152#4946C2211yescharacteristic, complemented
153#4945C2211yescharacteristic
154#4945C2211yescharacteristic, complemented
155#4945C2211yescharacteristic, complemented
156#4944C2211yescharacteristic
157#4944C2211yescharacteristic, complemented
158#4943C2211yescharacteristic, complemented
159#4943C2211yescharacteristic, complemented
160#4942C2211yescharacteristic, complemented
161#4942C2211yescharacteristic, complemented
162Dic3×C22⋊C4C2211yescharacteristic, complemented
163Dic3×C22⋊C4C2211yescharacteristic, complemented
164#4940C2211yescharacteristic
165#4933C2211yescharacteristic, complemented
166#4674C2211yescharacteristic
167#4673C2211yescharacteristic
168#4673C2211yescharacteristic
169#4670C2211yescharacteristic
170#4670C2211yescharacteristic
171#4669C2211yescharacteristic
172#4668C2211yescharacteristic
173#4667C2211yescharacteristic
174#4664C2211yescharacteristic
175#4664C2211yescharacteristic
176D3×#95C2211yescharacteristic
177D3×#95C2211yescharacteristic
178#4659C2211yescharacteristic, complemented
179#4655C2211yescharacteristic, complemented
180#4654C2211yescharacteristic, complemented
181#4653C2211yescharacteristic, complemented
182#4653C2211yescharacteristic, complemented
183#4647C2211yescharacteristic, complemented
184#4646C2211yescharacteristic, complemented
185#4646C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#532—31no—
192#2855—31no—
193#2716—31no—
194#2716—31no—
195#2712—31no—
196#2712—31no—
197#2710—31no—
198#2710—31no—
199#2673—31no—
200#2673D311yescharacteristic, complemented
201#2639—31no—
202#2617—31no—
203#2467—31no—
204#2467—31no—
205#2459—31no—
206#2459—31no—
207#2444—31no—
208#2444—31no—
209#2443—31no—
210#2443—31no—
211#2425—31no—
212#2425—31no—
213#2424—31no—
214#2424—31no—
215#2404—31no—
216#2404—31no—
217#2339—31no—
218#2339—31no—
219#2325—31no—
220C2×#388—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
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C2×#237—24no—
249C2×#237—24no—
250C2×#237—24no—
251C2×#237—24no—
252C2×#237—42no—
253C2×#237—42no—
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C22×Dic6C2311yescharacteristic
262C22×Dic6C2311yescharacteristic
263C3×#127—24no—
264C3×#123—42no—
265C3×#121—24no—
266C3×#121—42no—
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊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
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C42C2311yescharacteristic
284C2×#217C2311yescharacteristic
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
309#939—24no—
310#939—42no—
311#938—24no—
312#938—24no—
313#938—24no—
314#938D418yescomplemented
315#937—24no—
316#937—24no—
317#937—42no—
318#937—42no—
319#936—24no—
320#936—24no—
321#936—24no—
322#935—24no—
323#935—42no—
324D4×Dic3—24no—
325D4×Dic3—24no—
326D4×Dic3—24no—
327D4×Dic3—24no—
328#929—24no—
329C4×#67—24no—
330C4×#67—42no—
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×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370#898—24no—
371#896—24no—
372D3×C4⋊C4—42no—
373#885—24no—
374#67⋊C4—24no—
375#67⋊C4—42no—
376D3×C22⋊C4—24no—
377D3×C22⋊C4—24no—
378D3×C22⋊C4—42no—
379#879—24no—
380C42×D3—24no—
381#869—24no—
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
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
420C22×#41—31no—
421C22×#41—31no—
422#538—68no—
423#532—68no—
424C2×C4⋊Q8—31no—
425C2×#127C2×D311yescharacteristic, complemented
426C2×#126—31no—
427C2×#126—31no—
428C2×#124—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#124—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123C2×D311yescharacteristic, complemented
436C2×C22⋊Q8—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121C2×D311yescharacteristic
444C2×#121C2×D311yescharacteristic
445C2×#120—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C22×C4⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C42—31no—
462#400—31no—
463#400—31no—
464#399—31no—
465#399—31no—
466#398—31no—
467#398—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#396—31no—
475#396—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394C2×D311yescharacteristic, complemented
487#394C2×D311yescharacteristic, complemented
488#393—31no—
489#393—31no—
490#393—31no—
491#393—31no—
492#393—31no—
493#393—31no—
494#392—31no—
495#392—31no—
496#392—31no—
497#392—31no—
498#392C2×D311yescharacteristic
499#392C2×D311yescharacteristic
500#392C2×D311yescharacteristic
501#392C2×D311yescharacteristic
502#391—31no—
503#391—31no—
504#391—31no—
505#391—31no—
506#391—31no—
507#391—31no—
508#390—31no—
509#390—31no—
510#389—31no—
511#389—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388C2×D311yescharacteristic
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387C2×D311yescharacteristic, complemented
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—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#386C2×D311yescharacteristic, complemented
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#381—31no—
565#381—31no—
566#381—31no—
567#381—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C2×#95—31no—
574C2×#95—31no—
575C2×#95—31no—
576C2×#95—31no—
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C24×C3C2411yescharacteristic
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
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—41no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
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×D4C2×D414yes—
621C22×C3×C4—22no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
625C22×C3×C4—41no—
626C22×C3×C4—41no—
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67C2×D414yes—
660C2×#67C2×D414yes—
661C22×Dic3—22no—
662C22×Dic3—22no—
663C22×Dic3—22no—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—22no—
667C22×Dic3—22no—
668C22×Dic3—22no—
669C22×Dic3—22no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3—41no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3—41no—
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693#237—416no—
694#237—416no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3C2×D414yes—
712C2×C4×D3#4114yes—
713C2×Dic6—22no—
714C2×Dic6—22no—
715C2×Dic6—22no—
716C2×Dic6—22no—
717C2×Dic6—22no—
718C2×Dic6—41no—
719C2×Dic6—41no—
720C2×Dic6—41no—
721C2×Dic6—41no—
722C3×C4⋊C4—22no—
723C3×C4⋊C4—22no—
724C3×C4⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—41no—
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⋊C4—41no—
737C3×C22⋊C4—41no—
738C3×C42—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—41no—
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#217C2×D414yes—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778C4⋊Dic3—22no—
779C4⋊Dic3—22no—
780C4⋊Dic3—22no—
781C4⋊Dic3—41no—
782C4⋊Dic3—41no—
783C4⋊Dic3C2×D414yes—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—41no—
791Dic3⋊C4—41no—
792Dic3⋊C4—41no—
793Dic3⋊C4—41no—
794Dic3⋊C4—41no—
795Dic3⋊C4—41no—
796C4×Dic3—22no—
797C4×Dic3—22no—
798C4×Dic3—22no—
799C4×Dic3—22no—
800C4×Dic3—22no—
801C4×Dic3—41no—
802C4×Dic3—41no—
803C25—31no—
804C2×#41—64no—
805C2×#41—64no—
806C2×#41—64no—
807C2×#41—64no—
808C2×#41—122no—
809C2×#41—122no—
810C22×Q8—31no—
811C22×Q8—31no—
812C22×Q8—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4C22×D311yescharacteristic
822C22×D4C22×D311yescharacteristic
823C22×D4C22×D311yescharacteristic
824C22×D4C22×D311yescharacteristic
825C22×D4C22×D311yescharacteristic
826C22×D4C22×D311yescharacteristic
827C22×D4C22×D311yescharacteristic
828C22×D4C22×D311yescharacteristic
829C22×D4C22×D311yescharacteristic
830C22×D4C22×D311yescharacteristic
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4—31no—
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×C4C22×D311yescharacteristic
844C23×C4C22×D311yescharacteristic
845C4⋊Q8—64no—
846#127—24no—
847#126—64no—
848#126—64no—
849#124—64no—
850#124—64no—
851#124—64no—
852#124—64no—
853#123—42no—
854#123—64no—
855#123—64no—
856#123—122no—
857C22⋊Q8—64no—
858#121—24no—
859#121—38no—
860#121—42no—
861#121—64no—
862#121—64no—
863#121—64no—
864#121—64no—
865#121—122no—
866#120—64no—
867#120—64no—
868#120—122no—
869#120—122no—
870C4×D4—64no—
871C4×D4—64no—
872C4×D4—64no—
873C4×D4—64no—
874C4×D4—64no—
875C4×D4—64no—
876C4×D4—122no—
877C4×D4—122no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—122no—
897C2×C4⋊C4C22×D311yescharacteristic
898C2×C4⋊C4C22×D311yescharacteristic
899C2×C4⋊C4C22×D311yescharacteristic
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
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—64no—
940C2×C22⋊C4—64no—
941C2×C22⋊C4—122no—
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C42—31no—
956C2×C42—31no—
957C2×C42—31no—
958C2×C42—31no—
959C2×C42—31no—
960C2×C42—31no—
961C2×C42—31no—
962C2×C42—64no—
963C2×C42C22×D311yescharacteristic
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—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#95C22×D311yescharacteristic
997#95C22×D311yescharacteristic
998#95C22×D311yescharacteristic
999#95C22×D311yescharacteristic
1000#95C22×D311yescharacteristic
1001#95C22×D311yescharacteristic
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
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×C3C22×D412yes—
1036C23×C3C22×D412yes—
1037C23×C3C2511yescharacteristic
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—44no—
1050C22×D3—44no—
1051C22×D3—44no—
1052C22×D3—82no—
1053C22×D3—82no—
1054C22×D3—82no—
1055C22×D3—82no—
1056C22×D3C22×D412yes—
1057C22×D3C2×#4112yes—
1058C22×D3H(5,𝔽2)12yes—
1059C3×D4—44no—
1060C3×D4—44no—
1061C3×D4—44no—
1062C3×D4—44no—
1063C3×D4—44no—
1064C3×D4—44no—
1065C3×D4—82no—
1066C3×D4—82no—
1067C3×D4—82no—
1068C3×D4—82no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
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—82no—
1097C2×C3×C4—82no—
1098C2×C3×C4C22×D412yes—
1099C2×C3×C4C2×#4112yes—
1100C2×C3×C4H(5,𝔽2)12yes—
1101#67—28no—
1102#67—28no—
1103#67—44no—
1104#67—44no—
1105#67—82no—
1106#67—82no—
1107#67—82no—
1108#67—82no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
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—44no—
1148C2×Dic3—44no—
1149C2×Dic3—44no—
1150C2×Dic3—44no—
1151C2×Dic3—82no—
1152C2×Dic3—82no—
1153C2×Dic3C22×D412yes—
1154C2×Dic3C22×D412yes—
1155C2×Dic3C22×D412yes—
1156C2×Dic3C2×#4112yes—
1157C4×D3—28no—
1158C4×D3—44no—
1159C4×D3—44no—
1160C4×D3—44no—
1161C4×D3—82no—
1162C4×D3—82no—
1163Dic6—44no—
1164Dic6—44no—
1165Dic6—82no—
1166C24—31no—
1167C24—31no—
1168C24—62no—
1169C24—62no—
1170C24—62no—
1171C24—121no—
1172C24—121no—
1173C24—121no—
1174C24—121no—
1175C24C23×D311yescharacteristic
1176C24C23×D311yescharacteristic
1177C24C23×D311yescharacteristic
1178C24C23×D311yescharacteristic
1179C24C23×D311yescharacteristic
1180#41—1216no—
1181#41—1216no—
1182C2×Q8—62no—
1183C2×Q8—62no—
1184C2×Q8—62no—
1185C2×Q8—62no—
1186C2×Q8—62no—
1187C2×Q8—121no—
1188C2×Q8—121no—
1189C2×Q8—121no—
1190C2×Q8—121no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—34no—
1203C2×D4—34no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
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—62no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4—62no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—121no—
1235C2×D4—121no—
1236C2×D4—121no—
1237C2×D4—121no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4D3×D414yes—
1245C22×C4—22no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—31no—
1249C22×C4—31no—
1250C22×C4—34no—
1251C22×C4—34no—
1252C22×C4—31no—
1253C22×C4—31no—
1254C22×C4—31no—
1255C22×C4—31no—
1256C22×C4—31no—
1257C22×C4—31no—
1258C22×C4—31no—
1259C22×C4—31no—
1260C22×C4—31no—
1261C22×C4—31no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—62no—
1268C22×C4—62no—
1269C22×C4—62no—
1270C22×C4—62no—
1271C22×C4—62no—
1272C22×C4—62no—
1273C22×C4—62no—
1274C22×C4—62no—
1275C22×C4—62no—
1276C22×C4—62no—
1277C22×C4—62no—
1278C22×C4—62no—
1279C22×C4—62no—
1280C22×C4—62no—
1281C22×C4—62no—
1282C22×C4—62no—
1283C22×C4—121no—
1284C22×C4—121no—
1285C22×C4—121no—
1286C22×C4—121no—
1287C22×C4—121no—
1288C22×C4—121no—
1289C22×C4—121no—
1290C22×C4—121no—
1291C22×C4—121no—
1292C22×C4—121no—
1293C22×C4—121no—
1294C22×C4—121no—
1295C22×C4—121no—
1296C22×C4—121no—
1297C22×C4—121no—
1298C22×C4—121no—
1299C22×C4—121no—
1300C22×C4—121no—
1301C22×C4C23×D311yescharacteristic
1302C22×C4C23×D311yescharacteristic
1303C22×C4C23×D311yescharacteristic
1304C22×C4C23×D311yescharacteristic
1305C22×C4C23×D311yescharacteristic
1306C22×C4C23×D311yescharacteristic
1307C22×C4C23×D311yescharacteristic
1308C22×C4C23×D311yescharacteristic
1309C22×C4C23×D311yescharacteristic
1310C22×C4C23×D311yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—34no—
1315C4⋊C4—62no—
1316C4⋊C4—62no—
1317C4⋊C4—62no—
1318C4⋊C4—62no—
1319C4⋊C4—62no—
1320C4⋊C4—62no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—121no—
1325C4⋊C4—121no—
1326C4⋊C4—121no—
1327C4⋊C4—121no—
1328C4⋊C4—121no—
1329C4⋊C4—121no—
1330C4⋊C4—121no—
1331C4⋊C4—121no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—34no—
1337C22⋊C4—34no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—62no—
1355C22⋊C4—62no—
1356C22⋊C4—62no—
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—121no—
1370C22⋊C4—121no—
1371C22⋊C4—121no—
1372C22⋊C4—121no—
1373C22⋊C4—121no—
1374C22⋊C4—121no—
1375C22⋊C4—121no—
1376C22⋊C4—121no—
1377C22⋊C4—121no—
1378C22⋊C4—121no—
1379C22⋊C4—121no—
1380C22⋊C4—121no—
1381C22⋊C4—121no—
1382C22⋊C4—121no—
1383C22⋊C4—121no—
1384C42—22no—
1385C42—62no—
1386C42—62no—
1387C42—62no—
1388C42—62no—
1389C42—62no—
1390C42—121no—
1391C42—121no—
1392C22×C3—22no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—22no—
1396C22×C3—22no—
1397C22×C3—22no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3—41no—
1407C22×C3—41no—
1408C22×C3—41no—
1409C22×C3—41no—
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×C3C23×D411yescharacteristic
1428C22×C3C22×#4111yescharacteristic
1429C22×C3C2×H(5,𝔽2)11yescharacteristic
1430C22×C3C2×H(5,𝔽2)11yescharacteristic
1431C22×C3#58511yescharacteristic
1432C22×C3#58511yescharacteristic
1433C22×C3#58511yescharacteristic
1434C2×D3—22no—
1435C2×D3—22no—
1436C2×D3—22no—
1437C2×D3—22no—
1438C2×D3—22no—
1439C2×D3—22no—
1440C2×D3—41no—
1441C2×D3—41no—
1442C2×D3—41no—
1443C2×D3—41no—
1444C2×D3—41no—
1445C2×D3—41no—
1446C2×D3—41no—
1447C2×D3—88no—
1448C2×D3#54614yes—
1449C3×C4—22no—
1450C3×C4—22no—
1451C3×C4—22no—
1452C3×C4—41no—
1453C3×C4—41no—
1454C3×C4—41no—
1455C3×C4—41no—
1456C3×C4—41no—
1457C3×C4—41no—
1458C3×C4—41no—
1459Dic3—22no—
1460Dic3—22no—
1461Dic3—22no—
1462Dic3—22no—
1463Dic3—41no—
1464Dic3—41no—
1465Dic3—41no—
1466Dic3—41no—
1467Dic3—41no—
1468Dic3—41no—
1469Dic3—41no—
1470Dic3—41no—
1471Dic3—41no—
1472Dic3—41no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
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—32no—
1507C23—32no—
1508C23—32no—
1509C23—61no—
1510C23—61no—
1511C23—61no—
1512C23—61no—
1513C23—61no—
1514C23—61no—
1515C23—61no—
1516C23—61no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23—124no—
1521C23—124no—
1522C23—124no—
1523C23—242no—
1524C23—242no—
1525C23—242no—
1526C23—242no—
1527C23C2×D3×D412yes—
1528C23C2×D3×D412yes—
1529C23C24×D311yescharacteristic
1530Q8—124no—
1531Q8—124no—
1532Q8—242no—
1533D4—44no—
1534D4—44no—
1535D4—44no—
1536D4—44no—
1537D4—44no—
1538D4—44no—
1539D4—68no—
1540D4—68no—
1541D4—82no—
1542D4—82no—
1543D4—82no—
1544D4—82no—
1545D4—124no—
1546D4—124no—
1547D4—242no—
1548D4—242no—
1549D4—242no—
1550D4—242no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
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—32no—
1579C2×C4—32no—
1580C2×C4—32no—
1581C2×C4—32no—
1582C2×C4—68no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
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—82no—
1622C2×C4—82no—
1623C2×C4—124no—
1624C2×C4—124no—
1625C2×C4—124no—
1626C2×C4—124no—
1627C2×C4—124no—
1628C2×C4—124no—
1629C2×C4—124no—
1630C2×C4—242no—
1631C2×C4—242no—
1632C2×C4—242no—
1633C2×C4—242no—
1634C2×C4C2×D3×D412yes—
1635C2×C4#100412yes—
1636C2×C4D3×#4112yes—
1637C2×C3—42no—
1638C2×C3—42no—
1639C2×C3—81no—
1640C2×C3—81no—
1641C2×C3—81no—
1642C2×C3#345511yescharacteristic
1643C2×C3C2×#54611yescharacteristic
1644C2×C3#348511yescharacteristic
1645C2×C3#348811yescharacteristic
1646C2×C3#350611yescharacteristic
1647C2×C3#355811yescharacteristic
1648C2×C3#356011yescharacteristic
1649D3—24no—
1650D3—81no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—34no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
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—62no—
1688C22—62no—
1689C22—62no—
1690C22—62no—
1691C22—62no—
1692C22—62no—
1693C22—121no—
1694C22—121no—
1695C22—121no—
1696C22—121no—
1697C22—121no—
1698C22—121no—
1699C22—121no—
1700C22—248no—
1701C22C22×D3×D411yescharacteristic
1702C22C2×#100411yescharacteristic
1703C22C2×D3×#4111yescharacteristic
1704C22D3×H(5,𝔽2)11yescharacteristic
1705C22#596611yescharacteristic
1706C22#596611yescharacteristic
1707C22#596611yescharacteristic
1708C4—22no—
1709C4—22no—
1710C4—22no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—62no—
1719C4—62no—
1720C4—62no—
1721C4—62no—
1722C4—121no—
1723C4—121no—
1724C4—121no—
1725C4—121no—
1726C4—121no—
1727C4—121no—
1728C4—121no—
1729C4—121no—
1730C4—121no—
1731C4—121no—
1732C3#3769711yescharacteristic, complemented, Sylow
1733C2—42no—
1734C2—42no—
1735C2—64no—
1736C2—81no—
1737C2—81no—
1738C2—81no—
1739C2—241no—
1740C2#8629611yescharacteristic
1741C2#8633711yescharacteristic
1742C2#8646711yescharacteristic
1743C2#8660711yescharacteristic
1744C2D3×#54611yescharacteristic
1745C2#8678511yescharacteristic
1746C2#8708411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2673C2
hypercenter#2673D3
hypocenterC3#37697
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2673

Complements

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

NH ≅ G/Ntype
1. C2×#5716C2semidirect
2. C2×#5613C2semidirect
3. C3×#2673C2semidirect
4. #83182C2semidirect
5. #82897C2semidirect
6. #82847C2semidirect
7. #82707C2semidirect
8. #82656C2semidirect
9. #82645C2semidirect
10. #77126C2semidirect
11. #77117C2semidirect
12. #76920C2semidirect
13. #76911C2semidirect
14. #76761C2semidirect
15. #76756C2semidirect
16. #76754C2semidirect
17. #76754C2semidirect
18. #76727C2semidirect
19. #76726C2semidirect
20. #76684C2semidirect
21. #76679C2semidirect
22. D3×#388C2semidirect
23. #75695C2semidirect
24. #75448C2semidirect
25. #75164C2semidirect
26. #74877C2semidirect
27. #74822C2semidirect
28. #74821C2semidirect
29. #74706C2semidirect
30. #74672C2semidirect
31. #74672C2semidirect
35. C2×C3×#127C22semidirect
36. C2×C3×#123C22semidirect
50. C2×#936C22semidirect
51. C2×#936C22semidirect
53. C2×#935C22semidirect
54. C2×D4×Dic3C22semidirect
55. C2×D4×Dic3C22semidirect
56. C2×D4×Dic3C22semidirect
57. C2×D4×Dic3C22semidirect
74. C2×#869C22semidirect
75. C3×#394C22semidirect
76. C3×#394C22semidirect
82. C3×#387C22semidirect
83. C3×#386C22semidirect
84. C3×#386C22semidirect
85. C3×#386C22semidirect
94. #5222C22semidirect
95. #5222C22semidirect
102. #5220C22semidirect
103. #5220C22semidirect
104. #5220C22semidirect
106. #5210C22semidirect
107. #5210C22semidirect
108. C2×C3⋊#95C22semidirect
109. C2×C3⋊#95C22semidirect
113. #4986C22semidirect
114. #4982C22semidirect
115. #4982C22semidirect
116. #4980C22semidirect
117. #4978C22semidirect
118. #4976C22semidirect
137. #4953C22semidirect
138. #4952C22semidirect
139. #4952C22semidirect
140. #4952C22semidirect
143. #4951C22semidirect
144. #4950C22semidirect
145. #4949C22semidirect
146. #4949C22semidirect
150. #4947C22semidirect
151. #4947C22semidirect
152. #4946C22semidirect
154. #4945C22semidirect
155. #4945C22semidirect
157. #4944C22semidirect
158. #4943C22semidirect
159. #4943C22semidirect
160. #4942C22semidirect
161. #4942C22semidirect
162. Dic3×C22⋊C4C22semidirect
163. Dic3×C22⋊C4C22semidirect
165. #4933C22semidirect
178. #4659C22semidirect
179. #4655C22semidirect
180. #4654C22semidirect
181. #4653C22semidirect
182. #4653C22semidirect
183. #4647C22semidirect
184. #4646C22semidirect
185. #4646C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
200. #2673D3semidirect
314. #938D4semidirect
425. C2×#127C2×D3semidirect
435. C2×#123C2×D3semidirect
486. #394C2×D3semidirect
487. #394C2×D3semidirect
533. #387C2×D3semidirect
555. #386C2×D3semidirect
556. #386C2×D3semidirect
557. #386C2×D3semidirect
1732. C3#37697semidirect

Maximal subgroups

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

subgroupindex
C2×#57162
C2×#56132
C3×#26732
#831822
#828972
#828472
#827072
#826562
#826452
#771262
#771172
#769202
#769112
#767612
#767562
#767542
#767272
#767262
#766842
#766792
D3×#3882
#756952
#754482
#751642
#748772
#748222
#748212
#747062
#746722
#376973