Finite Group Databasebeta

← #11302221

Subgroups — #11302221

Order 768.

2328 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5595C211yesmaximal, characteristic, complemented
2C2×#5593C211yesmaximal, characteristic, complemented
3C3×#2617C211yesmaximal, characteristic, complemented
4#82717C211yesmaximal, characteristic, complemented
5#82644C211yesmaximal, characteristic, complemented
6#82592C211yesmaximal, characteristic, complemented
7#82584C211yesmaximal, characteristic, complemented
8#82108C211yesmaximal, characteristic, complemented
9#82099C211yesmaximal, characteristic, complemented
10#77672C211yesmaximal, characteristic, complemented
11#77578C211yesmaximal, characteristic, complemented
12#77490C211yesmaximal, characteristic, complemented
13#77465C211yesmaximal, characteristic, complemented
14#77150C211yesmaximal, characteristic, complemented
15#77130C211yesmaximal, characteristic, complemented
16#77118C211yesmaximal, characteristic, complemented
17#77038C211yesmaximal, characteristic, complemented
18#77014C211yesmaximal, characteristic, complemented
19#77011C211yesmaximal, characteristic, complemented
20#77000C211yesmaximal, characteristic, complemented
21#76923C211yesmaximal, characteristic, complemented
22#76716C211yesmaximal, characteristic, complemented
23#76690C211yesmaximal, characteristic, complemented
24#76686C211yesmaximal, characteristic, complemented
25#76675C211yesmaximal, characteristic, complemented
26#74895C211yesmaximal, characteristic, complemented
27#74806C211yesmaximal, characteristic, complemented
28#74805C211yesmaximal, characteristic, complemented
29#74753C211yesmaximal, characteristic, complemented
30#74043C211yesmaximal, characteristic, complemented
31#73939C211yesmaximal, characteristic, complemented
32#47849—31nomaximal, Sylow
33C2×C3×#121C2211yescharacteristic
34C2×C3×#120C2211yescharacteristic
35C2×C3×#120C2211yescharacteristic
36C22×C3×C22⋊C4C2211yescharacteristic
37C2×#953C2211yescharacteristic
38C2×#953C2211yescharacteristic
39C22×#217C2211yescharacteristic
40C22×#217C2211yescharacteristic
41C2×#940C2211yescharacteristic
42C2×#939C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#938C2211yescharacteristic
48C2×#938C2211yescharacteristic
49C2×#938C2211yescharacteristic
50C2×#936C2211yescharacteristic
51C2×#935C2211yescharacteristic
52C2×#935C2211yescharacteristic
53C2×#935C2211yescharacteristic
54C2×D4×Dic3C2211yescharacteristic
55C2×D4×Dic3C2211yescharacteristic, complemented
56C2×C4×#67C2211yescharacteristic
57#5595—28no—
58#5593—28no—
59C2×#894C2211yescharacteristic, complemented
60C2×#886C2211yescharacteristic
61C2×#885C2211yescharacteristic
62C2×#885C2211yescharacteristic, complemented
63C2×#884C2211yescharacteristic
64C2×#884C2211yescharacteristic
65C2×#883C2211yescharacteristic
66C2×#883C2211yescharacteristic
67C2×#883C2211yescharacteristic
68C2×#883C2211yescharacteristic, complemented
69C2×#67⋊C4C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic
71C2×#879C2211yescharacteristic
72C2×#879C2211yescharacteristic
73C2×#879C2211yescharacteristic
74C2×#879C2211yescharacteristic
75C2×#878C2211yescharacteristic
76C3×#397C2211yescharacteristic
77C3×#397C2211yescharacteristic
78C3×#394C2211yescharacteristic
79C3×#394C2211yescharacteristic
80C3×#394C2211yescharacteristic
81C3×#394C2211yescharacteristic
82C3×#392C2211yescharacteristic
83C3×#392C2211yescharacteristic
84C3×#386C2211yescharacteristic
85C3×#386C2211yescharacteristic
86C3×#380C2211yescharacteristic
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic, complemented
90#5223C2211yescharacteristic, complemented
91#5222C2211yescharacteristic
92#5222C2211yescharacteristic
93#5222C2211yescharacteristic
94#5222C2211yescharacteristic
95#5221C2211yescharacteristic, complemented
96#5220C2211yescharacteristic
97#5220C2211yescharacteristic
98#5220C2211yescharacteristic
99#5220C2211yescharacteristic
100#5213C2211yescharacteristic
101#5213C2211yescharacteristic
102#5213C2211yescharacteristic
103#5212C2211yescharacteristic
104#5212C2211yescharacteristic
105#5210C2211yescharacteristic
106C4×#217C2211yescharacteristic
107#4993C2211yescharacteristic, complemented
108#4992C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4982C2211yescharacteristic, complemented
112#4980C2211yescharacteristic, complemented
113#4980C2211yescharacteristic, complemented
114#4980C2211yescharacteristic, complemented
115#4979C2211yescharacteristic, complemented
116#4975C2211yescharacteristic, complemented
117#4972C2211yescharacteristic, complemented
118#4961C2211yescharacteristic
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic, complemented
121#4960C2211yescharacteristic, complemented
122#4959C2211yescharacteristic
123#4959C2211yescharacteristic
124#4959C2211yescharacteristic, complemented
125#4958C2211yescharacteristic
126#4958C2211yescharacteristic
127#4958C2211yescharacteristic
128#4958C2211yescharacteristic, complemented
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic, complemented
131#4956C2211yescharacteristic
132#4956C2211yescharacteristic, complemented
133#4956C2211yescharacteristic, complemented
134#4956C2211yescharacteristic, complemented
135#4956C2211yescharacteristic, complemented
136#4953C2211yescharacteristic
137#4953C2211yescharacteristic
138#4952C2211yescharacteristic
139#4952C2211yescharacteristic
140#4952C2211yescharacteristic
141#4952C2211yescharacteristic
142#4952C2211yescharacteristic, complemented
143#4952C2211yescharacteristic, complemented
144#4951C2211yescharacteristic, complemented
145#4950C2211yescharacteristic
146#4950C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4946C2211yescharacteristic
151#4946C2211yescharacteristic
152#4946C2211yescharacteristic, complemented
153#4946C2211yescharacteristic, complemented
154#4945C2211yescharacteristic
155#4945C2211yescharacteristic, complemented
156#4945C2211yescharacteristic, complemented
157#4944C2211yescharacteristic
158#4943C2211yescharacteristic
159#4943C2211yescharacteristic
160#4942C2211yescharacteristic
161#4942C2211yescharacteristic
162#4942C2211yescharacteristic
163#4942C2211yescharacteristic, complemented
164#4942C2211yescharacteristic, complemented
165Dic3×C22⋊C4C2211yescharacteristic
166#4676C2211yescharacteristic, complemented
167#4674C2211yescharacteristic, complemented
168#4672C2211yescharacteristic, complemented
169#4670C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4667C2211yescharacteristic, complemented
173#4666C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175D3×#95C2211yescharacteristic, complemented
176#4661C2211yescharacteristic, complemented
177#4660C2211yescharacteristic, complemented
178#4658C2211yescharacteristic, complemented
179#4658C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4656C2211yescharacteristic, complemented
183#4654C2211yescharacteristic, complemented
184#4650C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#560—31no—
191C2×#538—31no—
192#2717—31no—
193#2715—31no—
194#2708—31no—
195#2698—31no—
196#2695—31no—
197#2693—31no—
198#2691—31no—
199#2688—31no—
200#2682—31no—
201#2673—31no—
202#2672—31no—
203#2671—31no—
204#2617—31no—
205#2617D311yescharacteristic, complemented
206#2555—31no—
207#2553—31no—
208#2544—31no—
209#2535—31no—
210#2496—31no—
211#2468—31no—
212#2456—31no—
213#2444—31no—
214#2425—31no—
215#2425—31no—
216#2422—31no—
217#2422—31no—
218#2412—31no—
219#2412—31no—
220#2358—31no—
221C25×C3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#121—42no—
254C3×#120—24no—
255C3×#120—24no—
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4—42no—
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
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
276#953—24no—
277#953D418yescomplemented
278C2×#217—24no—
279C2×#217—42no—
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
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
304#940—24no—
305#939—24no—
306#939—24no—
307#939—24no—
308#939—24no—
309#939—42no—
310#938—24no—
311#938—24no—
312#938—24no—
313#936—24no—
314#935—24no—
315#935—24no—
316#935—42no—
317D4×Dic3—24no—
318D4×Dic3—42no—
319C4×#67—42no—
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366#894—42no—
367#886—42no—
368#885—24no—
369#885—42no—
370#884—24no—
371#884—24no—
372#883—24no—
373#883—24no—
374#883—24no—
375#883—42no—
376#67⋊C4—24no—
377#67⋊C4—42no—
378#879—24no—
379#879—24no—
380#879—24no—
381#879—24no—
382#878—24no—
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
417#560—68no—
418#538—68no—
419C2×#127—31no—
420C2×#126—31no—
421C2×#126—31no—
422C2×#126—31no—
423C2×#126—31no—
424C2×#124—31no—
425C2×#124—31no—
426C2×#124—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×C22⋊Q8—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121C2×D311yescharacteristic
448C2×#120—31no—
449C2×#120—31no—
450C2×#120C2×D311yescharacteristic
451C2×#120C2×D311yescharacteristic
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C22×C22⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4C2×D311yescharacteristic
460#400—31no—
461#400—31no—
462#400—31no—
463#399—31no—
464#398—31no—
465#398—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#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397C2×D311yescharacteristic
479#397C2×D311yescharacteristic
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#395—31no—
485#395—31no—
486#394—31no—
487#394—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#394C2×D311yescharacteristic
498#394C2×D311yescharacteristic
499#394C2×D311yescharacteristic
500#394C2×D311yescharacteristic
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392C2×D311yescharacteristic
507#392C2×D311yescharacteristic
508#391—31no—
509#390—31no—
510#390—31no—
511#390—31no—
512#389—31no—
513#389—31no—
514#389—31no—
515#389—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
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#386C2×D311yescharacteristic
544#386C2×D311yescharacteristic
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#384—31no—
557#382—31no—
558#381—31no—
559#381—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380C2×D311yescharacteristic
569C4×C4⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C2×#95—31no—
574C24×C3—41no—
575C24×C3—41no—
576C24×C3—41no—
577C24×C3—41no—
578C24×C3—41no—
579C24×C3—41no—
580C24×C3C2×D414yes—
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C2×C3×D4—22no—
589C2×C3×D4—22no—
590C2×C3×D4—22no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C2×C3×D4—41no—
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—
609C22×C3×C4—22no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4—41no—
614C22×C3×C4—41no—
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67C2×D414yes—
653C2×#67C2×D414yes—
654C2×#67C2×D414yes—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—22no—
658C22×Dic3—22no—
659C22×Dic3—22no—
660C22×Dic3—41no—
661C22×Dic3—41no—
662C22×Dic3—41no—
663C22×Dic3—41no—
664C22×Dic3—41no—
665C22×Dic3—41no—
666C22×Dic3—41no—
667C22×Dic3—41no—
668C22×Dic3—41no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C2×D12—22no—
688C2×D12—41no—
689C2×D12—41no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×Dic6—22no—
703C2×Dic6—41no—
704C2×Dic6—41no—
705C3×C4⋊C4—22no—
706C3×C4⋊C4—41no—
707C3×C4⋊C4—41no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—22no—
716C3×C22⋊C4—41no—
717C3×C22⋊C4—41no—
718C3×C22⋊C4—41no—
719C3×C22⋊C4—41no—
720C3×C22⋊C4—41no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4—41no—
723C3×C22⋊C4—41no—
724#217—22no—
725#217—22no—
726#217—22no—
727#217—22no—
728#217—22no—
729#217—22no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—22no—
737#217—22no—
738#217—41no—
739#217—41no—
740#217—41no—
741#217—41no—
742#217—41no—
743#217—41no—
744#217—41no—
745#217C2×D414yes—
746#217C2×D414yes—
747#217C2×D414yes—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762C4⋊Dic3—22no—
763C4⋊Dic3—22no—
764C4⋊Dic3—22no—
765C4⋊Dic3—22no—
766C4⋊Dic3—22no—
767C4⋊Dic3—41no—
768C4⋊Dic3—41no—
769C4⋊Dic3—41no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788C4×Dic3—22no—
789C4×Dic3—22no—
790C4×Dic3—22no—
791C4×Dic3—22no—
792C4×Dic3—22no—
793C4×Dic3—41no—
794C25C22×D311yescharacteristic
795C22×Q8—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—31no—
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4C22×D311yescharacteristic
808C22×D4C22×D311yescharacteristic
809C22×D4C22×D311yescharacteristic
810C22×D4C22×D311yescharacteristic
811C22×D4C22×D311yescharacteristic
812C22×D4C22×D311yescharacteristic
813C22×D4C22×D311yescharacteristic
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4C22×D311yescharacteristic
825C23×C4C22×D311yescharacteristic
826#127—64no—
827#126—64no—
828#126—64no—
829#126—64no—
830#126—64no—
831#124—64no—
832#124—64no—
833#124—122no—
834#123—64no—
835#123—64no—
836#123—64no—
837#123—64no—
838#123—64no—
839#123—122no—
840#123—122no—
841#123—122no—
842#123—122no—
843C22⋊Q8—64no—
844#121—42no—
845#121—64no—
846#121—64no—
847#121—64no—
848#121—64no—
849#121—64no—
850#121—64no—
851#121—64no—
852#121—64no—
853#121—64no—
854#121—122no—
855#120—24no—
856#120—24no—
857#120—38no—
858#120—64no—
859C4×D4—64no—
860C4×D4—64no—
861C4×D4—122no—
862C4×D4—122no—
863C4×D4—122no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
891C2×C4⋊C4C22×D311yescharacteristic
892C2×C4⋊C4C22×D311yescharacteristic
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
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—42no—
932C2×C22⋊C4—64no—
933C2×C22⋊C4—122no—
934C2×C22⋊C4C22×D311yescharacteristic
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C22⋊C4C22×D311yescharacteristic
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—31no—
954C2×C42—31no—
955C2×C42—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
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#95C22×D311yescharacteristic
985#95C22×D311yescharacteristic
986#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
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—44no—
1023C23×C3—44no—
1024C23×C3—44no—
1025C23×C3—82no—
1026C23×C3—82no—
1027C23×C3—82no—
1028C23×C3—82no—
1029C23×C3C22×D412yes—
1030C23×C3C22×D412yes—
1031C23×C3C22×D412yes—
1032C23×C3C2511yescharacteristic
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
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×D3C22×D412yes—
1047C3×D4—44no—
1048C3×D4—44no—
1049C3×D4—82no—
1050C3×D4—82no—
1051C3×D4—82no—
1052C3×D4—82no—
1053C3×D4—82no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
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—82no—
1084C2×C3×C4—82no—
1085C2×C3×C4H(5,𝔽2)12yes—
1086#67—44no—
1087#67—44no—
1088#67—44no—
1089#67—82no—
1090#67—82no—
1091#67—82no—
1092#67—82no—
1093#67—82no—
1094#67—82no—
1095#67—82no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
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—82no—
1135C2×Dic3—82no—
1136C2×Dic3—82no—
1137C2×Dic3—82no—
1138C2×Dic3—82no—
1139C2×Dic3—82no—
1140C2×Dic3C22×D412yes—
1141C2×Dic3C22×D412yes—
1142C2×Dic3C22×D412yes—
1143C2×Dic3H(5,𝔽2)12yes—
1144D12—82no—
1145C4×D3—82no—
1146C4×D3—82no—
1147C4×D3—82no—
1148C4×D3—82no—
1149Dic6—82no—
1150C24—31no—
1151C24—31no—
1152C24—41no—
1153C24—41no—
1154C24—41no—
1155C24—41no—
1156C24—41no—
1157C24—41no—
1158C24D3×D414yes—
1159C24C23×D311yescharacteristic
1160C24C23×D311yescharacteristic
1161C24C23×D311yescharacteristic
1162C24C23×D311yescharacteristic
1163C24C23×D311yescharacteristic
1164C2×Q8—62no—
1165C2×Q8—121no—
1166C2×Q8—121no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—34no—
1175C2×D4—34no—
1176C2×D4—34no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—62no—
1192C2×D4—62no—
1193C2×D4—62no—
1194C2×D4—62no—
1195C2×D4—62no—
1196C2×D4—62no—
1197C2×D4—62no—
1198C2×D4—121no—
1199C2×D4—121no—
1200C2×D4—121no—
1201C2×D4—121no—
1202C2×D4—121no—
1203C2×D4—121no—
1204C2×D4—121no—
1205C2×D4—121no—
1206C2×D4—121no—
1207C2×D4—121no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—121no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C2×D4—121no—
1217C2×D4—121no—
1218C2×D4—121no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C22×C4—22no—
1222C22×C4—31no—
1223C22×C4—31no—
1224C22×C4—31no—
1225C22×C4—31no—
1226C22×C4—31no—
1227C22×C4—31no—
1228C22×C4—31no—
1229C22×C4—31no—
1230C22×C4—31no—
1231C22×C4—31no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—62no—
1242C22×C4—62no—
1243C22×C4—62no—
1244C22×C4—62no—
1245C22×C4—62no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—121no—
1250C22×C4—121no—
1251C22×C4—121no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4—121no—
1255C22×C4—121no—
1256C22×C4—121no—
1257C22×C4—121no—
1258C22×C4—121no—
1259C22×C4—121no—
1260C22×C4—121no—
1261C22×C4—121no—
1262C22×C4—121no—
1263C22×C4—121no—
1264C22×C4—121no—
1265C22×C4—121no—
1266C22×C4—121no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4—121no—
1270C22×C4—121no—
1271C22×C4C23×D311yescharacteristic
1272C22×C4C23×D311yescharacteristic
1273C22×C4C23×D311yescharacteristic
1274C22×C4C23×D311yescharacteristic
1275C22×C4C23×D311yescharacteristic
1276C22×C4C23×D311yescharacteristic
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C4⋊C4—22no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—62no—
1285C4⋊C4—62no—
1286C4⋊C4—62no—
1287C4⋊C4—62no—
1288C4⋊C4—62no—
1289C4⋊C4—62no—
1290C4⋊C4—62no—
1291C4⋊C4—62no—
1292C4⋊C4—62no—
1293C4⋊C4—62no—
1294C4⋊C4—62no—
1295C4⋊C4—62no—
1296C4⋊C4—62no—
1297C4⋊C4—62no—
1298C4⋊C4—121no—
1299C4⋊C4—121no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C4⋊C4—121no—
1306C4⋊C4—121no—
1307C4⋊C4—121no—
1308C4⋊C4—121no—
1309C4⋊C4—121no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—34no—
1319C22⋊C4—34no—
1320C22⋊C4—34no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—62no—
1342C22⋊C4—62no—
1343C22⋊C4—62no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C42—62no—
1365C42—62no—
1366C42—62no—
1367C42—62no—
1368C42—62no—
1369C42—121no—
1370C22×C3—22no—
1371C22×C3—22no—
1372C22×C3—22no—
1373C22×C3—22no—
1374C22×C3—22no—
1375C22×C3—22no—
1376C22×C3—22no—
1377C22×C3—22no—
1378C22×C3—22no—
1379C22×C3—41no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3—41no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—88no—
1406C22×C3C23×D411yescharacteristic
1407C22×C3C2×H(5,𝔽2)11yescharacteristic
1408C22×C3C2×H(5,𝔽2)11yescharacteristic
1409C22×C3#58511yescharacteristic
1410C22×C3#58511yescharacteristic
1411C22×C3#58511yescharacteristic
1412C22×C3#58511yescharacteristic
1413C2×D3—22no—
1414C2×D3—22no—
1415C2×D3—22no—
1416C2×D3—41no—
1417C2×D3—41no—
1418C2×D3—41no—
1419C2×D3—41no—
1420C2×D3—41no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—41no—
1427C3×C4—22no—
1428C3×C4—41no—
1429C3×C4—41no—
1430C3×C4—41no—
1431C3×C4—41no—
1432C3×C4—41no—
1433C3×C4—41no—
1434C3×C4—41no—
1435C3×C4—41no—
1436C3×C4—41no—
1437Dic3—22no—
1438Dic3—22no—
1439Dic3—22no—
1440Dic3—22no—
1441Dic3—41no—
1442Dic3—41no—
1443Dic3—41no—
1444Dic3—41no—
1445Dic3—41no—
1446Dic3—41no—
1447Dic3—41no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—32no—
1484C23—44no—
1485C23—44no—
1486C23—44no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—61no—
1499C23—61no—
1500C23—82no—
1501C23—82no—
1502C23—82no—
1503C23—82no—
1504C23C2×D3×D412yes—
1505C23C2×D3×D412yes—
1506C23C2×D3×D412yes—
1507C23C24×D311yescharacteristic
1508Q8—242no—
1509D4—44no—
1510D4—44no—
1511D4—82no—
1512D4—82no—
1513D4—82no—
1514D4—82no—
1515D4—82no—
1516D4—124no—
1517D4—124no—
1518D4—124no—
1519D4—242no—
1520D4—242no—
1521D4—242no—
1522D4—242no—
1523D4—242no—
1524D4—242no—
1525D4—242no—
1526D4—242no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—32no—
1557C2×C4—32no—
1558C2×C4—32no—
1559C2×C4—32no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
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—82no—
1599C2×C4—82no—
1600C2×C4—242no—
1601C2×C4—242no—
1602C2×C4—242no—
1603C2×C4—242no—
1604C2×C4—242no—
1605C2×C4—242no—
1606C2×C4—242no—
1607C2×C4—242no—
1608C2×C4—242no—
1609C2×C4—242no—
1610C2×C4#100412yes—
1611C2×C3—42no—
1612C2×C3—42no—
1613C2×C3—42no—
1614C2×C3—81no—
1615C2×C3—81no—
1616C2×C3#348511yescharacteristic
1617C2×C3#349611yescharacteristic
1618C2×C3#349611yescharacteristic
1619C2×C3#353311yescharacteristic
1620C2×C3#354611yescharacteristic
1621C2×C3#356011yescharacteristic
1622C2×C3#356611yescharacteristic
1623D3—42no—
1624D3—81no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—62no—
1661C22—62no—
1662C22—62no—
1663C22—88no—
1664C22—121no—
1665C22—121no—
1666C22—121no—
1667C22—121no—
1668C22—121no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22—121no—
1675C22C22×D3×D411yescharacteristic
1676C22C2×#100411yescharacteristic
1677C22#596411yescharacteristic
1678C22D3×H(5,𝔽2)11yescharacteristic
1679C22#596611yescharacteristic
1680C22#596611yescharacteristic
1681C22#596611yescharacteristic
1682C4—22no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—62no—
1693C4—62no—
1694C4—62no—
1695C4—62no—
1696C4—121no—
1697C4—121no—
1698C4—121no—
1699C4—121no—
1700C4—121no—
1701C4—121no—
1702C4—121no—
1703C4—121no—
1704C4—121no—
1705C4—121no—
1706C3#4784911yescharacteristic, complemented, Sylow
1707C2—42no—
1708C2—42no—
1709C2—42no—
1710C2—81no—
1711C2—81no—
1712C2—122no—
1713C2—241no—
1714C2#8595011yescharacteristic
1715C2#8629611yescharacteristic
1716C2#8629811yescharacteristic
1717C2#8630011yescharacteristic
1718C2#8632511yescharacteristic
1719C2#8641011yescharacteristic
1720C2#8642511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2617C2
hypercenter#2617D3
hypocenterC3#47849
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2617

Complements

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

NH ≅ G/Ntype
1. C2×#5595C2semidirect
2. C2×#5593C2semidirect
3. C3×#2617C2semidirect
4. #82717C2semidirect
5. #82644C2semidirect
6. #82592C2semidirect
7. #82584C2semidirect
8. #82108C2semidirect
9. #82099C2semidirect
10. #77672C2semidirect
11. #77578C2semidirect
12. #77490C2semidirect
13. #77465C2semidirect
14. #77150C2semidirect
15. #77130C2semidirect
16. #77118C2semidirect
17. #77038C2semidirect
18. #77014C2semidirect
19. #77011C2semidirect
20. #77000C2semidirect
21. #76923C2semidirect
22. #76716C2semidirect
23. #76690C2semidirect
24. #76686C2semidirect
25. #76675C2semidirect
26. #74895C2semidirect
27. #74806C2semidirect
28. #74805C2semidirect
29. #74753C2semidirect
30. #74043C2semidirect
31. #73939C2semidirect
55. C2×D4×Dic3C22semidirect
59. C2×#894C22semidirect
62. C2×#885C22semidirect
68. C2×#883C22semidirect
89. #5223C22semidirect
90. #5223C22semidirect
95. #5221C22semidirect
107. #4993C22semidirect
108. #4992C22semidirect
109. #4989C22semidirect
110. #4989C22semidirect
111. #4982C22semidirect
112. #4980C22semidirect
113. #4980C22semidirect
114. #4980C22semidirect
115. #4979C22semidirect
116. #4975C22semidirect
117. #4972C22semidirect
120. #4961C22semidirect
121. #4960C22semidirect
124. #4959C22semidirect
128. #4958C22semidirect
130. #4957C22semidirect
132. #4956C22semidirect
133. #4956C22semidirect
134. #4956C22semidirect
135. #4956C22semidirect
142. #4952C22semidirect
143. #4952C22semidirect
144. #4951C22semidirect
146. #4950C22semidirect
147. #4948C22semidirect
148. #4948C22semidirect
149. #4948C22semidirect
152. #4946C22semidirect
153. #4946C22semidirect
155. #4945C22semidirect
156. #4945C22semidirect
163. #4942C22semidirect
164. #4942C22semidirect
166. #4676C22semidirect
167. #4674C22semidirect
168. #4672C22semidirect
169. #4670C22semidirect
170. #4668C22semidirect
171. #4668C22semidirect
172. #4667C22semidirect
173. #4666C22semidirect
174. #4665C22semidirect
175. D3×#95C22semidirect
176. #4661C22semidirect
177. #4660C22semidirect
178. #4658C22semidirect
179. #4658C22semidirect
180. #4657C22semidirect
181. #4657C22semidirect
182. #4656C22semidirect
183. #4654C22semidirect
184. #4650C22semidirect
185. #4649C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
205. #2617D3semidirect
277. #953D4semidirect
1706. C3#47849semidirect

Maximal subgroups

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

subgroupindex
C2×#55952
C2×#55932
C3×#26172
#827172
#826442
#825922
#825842
#821082
#820992
#776722
#775782
#774902
#774652
#771502
#771302
#771182
#770382
#770142
#770112
#770002
#769232
#767162
#766902
#766862
#766752
#748952
#748062
#748052
#747532
#740432
#739392
#478493