Finite Group Databasebeta

← #11235437

Subgroups — #11235437

Order 768.

2446 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5621C211yesmaximal, characteristic, complemented
2C2×#5586C211yesmaximal, characteristic, complemented
3C3×#2678C211yesmaximal, characteristic, complemented
4#82871C211yesmaximal, characteristic, complemented
5#82841C211yesmaximal, characteristic, complemented
6#82655C211yesmaximal, characteristic, complemented
7#82608C211yesmaximal, characteristic, complemented
8#82602C211yesmaximal, characteristic, complemented
9#82598C211yesmaximal, characteristic, complemented
10#77671C211yesmaximal, characteristic, complemented
11#77646C211yesmaximal, characteristic, complemented
12#77420C211yesmaximal, characteristic, complemented
13#77363C211yesmaximal, characteristic, complemented
14#77084C211yesmaximal, characteristic, complemented
15#77001C211yesmaximal, characteristic, complemented
16#76931C211yesmaximal, characteristic, complemented
17#76900C211yesmaximal, characteristic, complemented
18#76773C211yesmaximal, characteristic, complemented
19#76757C211yesmaximal, characteristic, complemented
20#76718C211yesmaximal, characteristic, complemented
21#76678C211yesmaximal, characteristic, complemented
22#76382C211yesmaximal, characteristic, complemented
23#76327C211yesmaximal, characteristic, complemented
24#76319C211yesmaximal, characteristic, complemented
25#76310C211yesmaximal, characteristic, complemented
26#75922C211yesmaximal, characteristic, complemented
27#75533C211yesmaximal, characteristic, complemented
28#74926C211yesmaximal, characteristic, complemented
29#74709C211yesmaximal, characteristic, complemented
30#73846C211yesmaximal, characteristic, complemented
31#73840C211yesmaximal, characteristic, complemented
32#45447—31nomaximal, Sylow
33C24×Dic3C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic
43C2×#938C2211yescharacteristic
44C2×#938C2211yescharacteristic, complemented
45C2×#936C2211yescharacteristic
46C2×#935C2211yescharacteristic
47C2×#935C2211yescharacteristic
48C2×#935C2211yescharacteristic
49C2×#935C2211yescharacteristic, complemented
50C2×D4×Dic3C2211yescharacteristic
51C2×D4×Dic3C2211yescharacteristic
52C2×#929C2211yescharacteristic, complemented
53C2×#924C2211yescharacteristic, complemented
54C22×Dic3⋊C4C2211yescharacteristic, complemented
55#5621—28no—
56#5586—28no—
57C2×#896C2211yescharacteristic, complemented
58C2×#889C2211yescharacteristic, complemented
59C2×#886C2211yescharacteristic
60C2×#885C2211yescharacteristic, complemented
61C2×#883C2211yescharacteristic
62C2×#883C2211yescharacteristic, complemented
63C2×#67⋊C4C2211yescharacteristic
64C2×#67⋊C4C2211yescharacteristic
65C2×#878C2211yescharacteristic
66C2×#878C2211yescharacteristic
67C2×#878C2211yescharacteristic
68C2×#878C2211yescharacteristic
69C2×#878C2211yescharacteristic
70C2×#878C2211yescharacteristic, complemented
71C2×#877C2211yescharacteristic
72C3×#397C2211yescharacteristic
73C3×#396C2211yescharacteristic
74C3×#394C2211yescharacteristic
75C3×#394C2211yescharacteristic
76C3×#392C2211yescharacteristic
77C3×#392C2211yescharacteristic
78C3×#390C2211yescharacteristic
79C3×#390C2211yescharacteristic
80C3×#388C2211yescharacteristic
81C3×#386C2211yescharacteristic
82C3×#379C2211yescharacteristic
83#5247C2211yescharacteristic
84#5247C2211yescharacteristic
85#5223C2211yescharacteristic
86#5222C2211yescharacteristic
87#5222C2211yescharacteristic
88#5222C2211yescharacteristic
89#5220C2211yescharacteristic
90#5220C2211yescharacteristic
91#5220C2211yescharacteristic
92#5220C2211yescharacteristic
93#5220C2211yescharacteristic
94#5220C2211yescharacteristic
95#5220C2211yescharacteristic
96#5220C2211yescharacteristic
97#5220C2211yescharacteristic
98#5220C2211yescharacteristic, complemented
99#5220C2211yescharacteristic, complemented
100#5210C2211yescharacteristic, complemented
101#4989C2211yescharacteristic, complemented
102#4989C2211yescharacteristic, complemented
103#4989C2211yescharacteristic, complemented
104#4984C2211yescharacteristic, complemented
105#4983C2211yescharacteristic, complemented
106#4982C2211yescharacteristic, complemented
107#4981C2211yescharacteristic, complemented
108#4979C2211yescharacteristic, complemented
109#4979C2211yescharacteristic, complemented
110#4979C2211yescharacteristic, complemented
111#4978C2211yescharacteristic, complemented
112#4978C2211yescharacteristic, complemented
113#4975C2211yescharacteristic, complemented
114#4973C2211yescharacteristic, complemented
115#4961C2211yescharacteristic
116#4961C2211yescharacteristic, complemented
117#4959C2211yescharacteristic
118#4959C2211yescharacteristic
119#4958C2211yescharacteristic, complemented
120#4957C2211yescharacteristic
121#4956C2211yescharacteristic
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic, complemented
126#4953C2211yescharacteristic
127#4953C2211yescharacteristic
128#4953C2211yescharacteristic, complemented
129#4953C2211yescharacteristic, complemented
130#4952C2211yescharacteristic
131#4952C2211yescharacteristic
132#4952C2211yescharacteristic
133#4952C2211yescharacteristic
134#4952C2211yescharacteristic, complemented
135#4951C2211yescharacteristic
136#4950C2211yescharacteristic
137#4950C2211yescharacteristic
138#4950C2211yescharacteristic
139#4950C2211yescharacteristic, complemented
140#4949C2211yescharacteristic
141#4949C2211yescharacteristic, complemented
142#4948C2211yescharacteristic
143#4948C2211yescharacteristic
144#4948C2211yescharacteristic, complemented
145#4948C2211yescharacteristic, complemented
146#4947C2211yescharacteristic
147#4947C2211yescharacteristic
148#4947C2211yescharacteristic, complemented
149#4946C2211yescharacteristic
150#4946C2211yescharacteristic
151#4946C2211yescharacteristic
152#4946C2211yescharacteristic
153#4946C2211yescharacteristic
154#4946C2211yescharacteristic
155#4946C2211yescharacteristic
156#4946C2211yescharacteristic, complemented
157#4945C2211yescharacteristic, complemented
158#4944C2211yescharacteristic
159#4944C2211yescharacteristic
160#4944C2211yescharacteristic
161#4944C2211yescharacteristic, complemented
162#4943C2211yescharacteristic
163#4943C2211yescharacteristic
164#4943C2211yescharacteristic, complemented
165#4942C2211yescharacteristic
166#4942C2211yescharacteristic
167#4942C2211yescharacteristic
168#4942C2211yescharacteristic, complemented
169Dic3×C22⋊C4C2211yescharacteristic, complemented
170#4940C2211yescharacteristic, complemented
171C4×C4⋊Dic3C2211yescharacteristic, complemented
172#4933C2211yescharacteristic, complemented
173#4929C2211yescharacteristic, complemented
174#4675C2211yescharacteristic, complemented
175#4667C2211yescharacteristic, complemented
176#4664C2211yescharacteristic, complemented
177D3×#95C2211yescharacteristic, complemented
178#4660C2211yescharacteristic, complemented
179#4660C2211yescharacteristic, complemented
180#4658C2211yescharacteristic, complemented
181#4658C2211yescharacteristic, complemented
182#4658C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4656C2211yescharacteristic, complemented
187#4655C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#562—31no—
191C2×#525—31no—
192#2849—31no—
193#2848—31no—
194#2817—31no—
195#2814—31no—
196#2720—31no—
197#2708—31no—
198#2697—31no—
199#2693—31no—
200#2692—31no—
201#2688—31no—
202#2687—31no—
203#2684—31no—
204#2680—31no—
205#2678D311yescharacteristic, complemented
206#2672—31no—
207#2668—31no—
208#2477—31no—
209#2475—31no—
210#2461—31no—
211#2457—31no—
212#2450—31no—
213#2449—31no—
214#2447—31no—
215#2443—31no—
216#2430—31no—
217#2422—31no—
218#2419—31no—
219#2406—31no—
220#2377—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
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3—24no—
236C23×Dic3—42no—
237C23×Dic3—42no—
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C2×#237—24no—
248C2×#237—42no—
249C2×#237—42no—
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C22×Dic6C2311yescharacteristic
255C22×Dic6C2311yescharacteristic
256C3×#123—42no—
257C3×#121—24no—
258C3×#120—24no—
259C3×#120—42no—
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊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
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C42C2311yescharacteristic
282#953—24no—
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
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309#939—24no—
310#939—24no—
311#939D418yescomplemented
312#938—24no—
313#938—42no—
314#936—24no—
315#935—24no—
316#935—24no—
317#935—24no—
318#935—42no—
319D4×Dic3—24no—
320D4×Dic3—24no—
321#929—24no—
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×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337#924—24no—
338C2×Dic3⋊C4—42no—
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
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
364#896—24no—
365#889—24no—
366#886—24no—
367#885—24no—
368#883—24no—
369#883—42no—
370#67⋊C4—24no—
371#67⋊C4—24no—
372#878—24no—
373#878—24no—
374#878—24no—
375#878—24no—
376#878—42no—
377#878—42no—
378#877—24no—
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
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
417C22×#41—31no—
418C24×C4—31no—
419#562—68no—
420C2×#125—31no—
421C2×#124—31no—
422C2×#124—31no—
423#525—68no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123C2×D311yescharacteristic
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121C2×D311yescharacteristic
447C2×#120—31no—
448C2×#120C2×D311yescharacteristic
449C2×#120C2×D311yescharacteristic
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×#117—31no—
455C22×C4⋊C4—31no—
456#400—31no—
457#400—31no—
458#400—31no—
459#400—31no—
460#400—31no—
461#399—31no—
462#399—31no—
463#398—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#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396C2×D311yescharacteristic
484#395—31no—
485#395—31no—
486#395—31no—
487#395—31no—
488#395—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394C2×D311yescharacteristic
497#394C2×D311yescharacteristic
498#393—31no—
499#393—31no—
500#393—31no—
501#392—31no—
502#392C2×D311yescharacteristic
503#392C2×D311yescharacteristic
504#391—31no—
505#391—31no—
506#390—31no—
507#390C2×D311yescharacteristic
508#390C2×D311yescharacteristic
509#389—31no—
510#389—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388C2×D311yescharacteristic
519#387—31no—
520#387—31no—
521#387—31no—
522#387—31no—
523#387—31no—
524#386—31no—
525#386—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#386C2×D311yescharacteristic
542#385—31no—
543#385—31no—
544#385—31no—
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#385—31no—
557#385—31no—
558#384—31no—
559#381—31no—
560#381—31no—
561#381—31no—
562#381—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#379—31no—
569#379—31no—
570#379C2×D311yescharacteristic
571C4×C4⋊C4—31no—
572C4×C22⋊C4—31no—
573C2×#95—31no—
574C24×C3—22no—
575C24×C3—22no—
576C24×C3—22no—
577C24×C3—41no—
578C24×C3—41no—
579C24×C3—41no—
580C24×C3—41no—
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C2×C3×D4—22no—
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×D4C2×D414yes—
608C22×C3×C4—22no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67C2×D414yes—
635C2×#67C2×D414yes—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—22no—
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—22no—
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—22no—
648C22×Dic3—22no—
649C22×Dic3—41no—
650C22×Dic3—41no—
651C22×Dic3—41no—
652C22×Dic3—41no—
653C22×Dic3—41no—
654C22×Dic3—41no—
655C22×Dic3—41no—
656C22×Dic3—41no—
657C22×Dic3—41no—
658C22×Dic3—41no—
659C22×Dic3—41no—
660C22×Dic3—41no—
661C22×Dic3—41no—
662C22×Dic3—416no—
663C22×Dic3C2×D414yes—
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679#237—416no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×Dic6—22no—
690C2×Dic6—22no—
691C2×Dic6—22no—
692C2×Dic6—41no—
693C2×Dic6—41no—
694C2×Dic6—41no—
695C2×Dic6—41no—
696C2×Dic6—41no—
697C2×Dic6—41no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—41no—
700C3×C4⋊C4—41no—
701C3×C4⋊C4—41no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—41no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4—41no—
712C3×C22⋊C4—41no—
713C3×C22⋊C4—41no—
714C3×C22⋊C4—41no—
715C3×C22⋊C4—41no—
716C3×C22⋊C4—41no—
717C3×C22⋊C4—41no—
718C3×C22⋊C4—41no—
719C3×C42—41no—
720#217—22no—
721#217—22no—
722#217—22no—
723#217—22no—
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—41no—
734#217—41no—
735#217—41no—
736#217—41no—
737#217—41no—
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(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4C2×D414yes—
753C4⋊Dic3—22no—
754C4⋊Dic3—22no—
755C4⋊Dic3—22no—
756C4⋊Dic3—22no—
757C4⋊Dic3—22no—
758C4⋊Dic3—41no—
759C4⋊Dic3—41no—
760C4⋊Dic3—41no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—41no—
773Dic3⋊C4—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4—41no—
776Dic3⋊C4—41no—
777Dic3⋊C4—41no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4C2×D414yes—
782C4×Dic3—22no—
783C4×Dic3—22no—
784C4×Dic3—22no—
785C4×Dic3—41no—
786C25C22×D311yescharacteristic
787C2×#41—64no—
788C2×#41—122no—
789C2×#41—122no—
790C22×Q8—31no—
791C22×Q8—31no—
792C22×Q8—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4C22×D311yescharacteristic
799C22×D4C22×D311yescharacteristic
800C22×D4C22×D311yescharacteristic
801C22×D4C22×D311yescharacteristic
802C22×D4C22×D311yescharacteristic
803C22×D4C22×D311yescharacteristic
804C22×D4C22×D311yescharacteristic
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—64no—
818C23×C4—122no—
819C23×C4—122no—
820C23×C4C22×D311yescharacteristic
821#125—64no—
822#124—64no—
823#124—64no—
824#123—42no—
825#123—64no—
826#123—64no—
827#123—64no—
828#123—64no—
829#123—64no—
830#123—64no—
831#123—122no—
832#123—122no—
833C22⋊Q8—64no—
834C22⋊Q8—64no—
835C22⋊Q8—64no—
836C22⋊Q8—64no—
837C22⋊Q8—64no—
838C22⋊Q8—64no—
839C22⋊Q8—122no—
840C22⋊Q8—122no—
841#121—24no—
842#121—38no—
843#121—64no—
844#121—64no—
845#121—64no—
846#121—122no—
847#120—24no—
848#120—42no—
849#120—64no—
850C4×D4—64no—
851C4×D4—64no—
852C4×D4—64no—
853C4×D4—64no—
854#117—64no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
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—122no—
885C2×C4⋊C4C22×D311yescharacteristic
886C2×C4⋊C4C22×D311yescharacteristic
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
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⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C22⋊C4C22×D311yescharacteristic
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C22⋊C4C22×D311yescharacteristic
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C42—31no—
940C2×C42—31no—
941C2×C42—31no—
942C2×C42—31no—
943C2×C42C22×D311yescharacteristic
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—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#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
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—44no—
1014C23×C3—44no—
1015C23×C3—44no—
1016C23×C3—44no—
1017C23×C3—44no—
1018C23×C3—44no—
1019C23×C3—44no—
1020C23×C3C22×D412yes—
1021C23×C3C22×D412yes—
1022C23×C3H(5,𝔽2)12yes—
1023C23×C32−1+412yes—
1024C23×C3C2511yescharacteristic
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3C22×D412yes—
1032C3×D4—44no—
1033C3×D4—44no—
1034C3×D4—44no—
1035C3×D4—82no—
1036C3×D4—82no—
1037C3×D4—82no—
1038C3×D4—82no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
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—82no—
1069C2×C3×C4C22×D412yes—
1070#67—44no—
1071#67—44no—
1072#67—44no—
1073#67—44no—
1074#67—82no—
1075C2×Dic3—28no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
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—44no—
1118C2×Dic3—44no—
1119C2×Dic3—44no—
1120C2×Dic3—44no—
1121C2×Dic3—44no—
1122C2×Dic3—44no—
1123C2×Dic3—44no—
1124C2×Dic3—82no—
1125C2×Dic3C22×D412yes—
1126C2×Dic3C22×D412yes—
1127C2×Dic3C22×D412yes—
1128C2×Dic3H(5,𝔽2)12yes—
1129C4×D3—44no—
1130C4×D3—82no—
1131C4×D3—82no—
1132Dic6—44no—
1133Dic6—82no—
1134Dic6—82no—
1135C24—22no—
1136C24—22no—
1137C24—22no—
1138C24—31no—
1139C24—41no—
1140C24—41no—
1141C24—41no—
1142C24—41no—
1143C24C23×D311yescharacteristic
1144C24C23×D311yescharacteristic
1145C24C23×D311yescharacteristic
1146C24C23×D311yescharacteristic
1147C24C23×D311yescharacteristic
1148#41—1216no—
1149C2×Q8—62no—
1150C2×Q8—62no—
1151C2×Q8—62no—
1152C2×Q8—121no—
1153C2×Q8—121no—
1154C2×Q8—121no—
1155C2×Q8—121no—
1156C2×Q8—121no—
1157C2×Q8—121no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—34no—
1167C2×D4—34no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—62no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—121no—
1193C2×D4D3×D414yes—
1194C22×C4—22no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—34no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—31no—
1208C22×C4—31no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—121no—
1230C22×C4—121no—
1231C22×C4—121no—
1232C22×C4—121no—
1233C22×C4—121no—
1234C22×C4—121no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4—121no—
1247C22×C4—121no—
1248C22×C4—1216no—
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C22×C4C23×D311yescharacteristic
1258C22×C4C23×D311yescharacteristic
1259C4⋊C4—22no—
1260C4⋊C4—34no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—62no—
1279C4⋊C4—62no—
1280C4⋊C4—121no—
1281C4⋊C4—121no—
1282C4⋊C4—121no—
1283C4⋊C4—121no—
1284C4⋊C4—121no—
1285C4⋊C4—121no—
1286C4⋊C4—121no—
1287C4⋊C4—121no—
1288C4⋊C4—121no—
1289C4⋊C4—121no—
1290C4⋊C4—121no—
1291C4⋊C4—121no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—34no—
1300C22⋊C4—34no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—62no—
1312C22⋊C4—62no—
1313C22⋊C4—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4—121no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4—121no—
1334C22⋊C4—121no—
1335C22⋊C4—121no—
1336C22⋊C4—121no—
1337C22⋊C4—121no—
1338C22⋊C4—121no—
1339C22⋊C4—121no—
1340C22⋊C4—121no—
1341C22⋊C4—121no—
1342C42—41no—
1343C42—62no—
1344C42—62no—
1345C42—62no—
1346C42—121no—
1347C22×C3—22no—
1348C22×C3—22no—
1349C22×C3—22no—
1350C22×C3—22no—
1351C22×C3—22no—
1352C22×C3—22no—
1353C22×C3—22no—
1354C22×C3—22no—
1355C22×C3—22no—
1356C22×C3—22no—
1357C22×C3—22no—
1358C22×C3—22no—
1359C22×C3—416no—
1360C22×C3—41no—
1361C22×C3—41no—
1362C22×C3—41no—
1363C22×C3—41no—
1364C22×C3—41no—
1365C22×C3—41no—
1366C22×C3—41no—
1367C22×C3—41no—
1368C22×C3—41no—
1369C22×C3—41no—
1370C22×C3—41no—
1371C22×C3—41no—
1372C22×C3—41no—
1373C22×C3—41no—
1374C22×C3—41no—
1375C22×C3—41no—
1376C22×C3—41no—
1377C22×C3—41no—
1378C22×C3—41no—
1379C22×C3—41no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3C23×D411yescharacteristic
1384C22×C3C2×H(5,𝔽2)11yescharacteristic
1385C22×C3C2×H(5,𝔽2)11yescharacteristic
1386C22×C3C2×2−1+411yescharacteristic
1387C22×C3#58511yescharacteristic
1388C22×C3#58511yescharacteristic
1389C22×C3#58511yescharacteristic
1390C2×D3—22no—
1391C2×D3—22no—
1392C2×D3—22no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C3×C4—22no—
1398C3×C4—41no—
1399C3×C4—41no—
1400C3×C4—41no—
1401C3×C4—41no—
1402C3×C4—41no—
1403C3×C4—41no—
1404C3×C4—41no—
1405C3×C4—41no—
1406C3×C4—41no—
1407Dic3—22no—
1408Dic3—22no—
1409Dic3—22no—
1410Dic3—22no—
1411Dic3—41no—
1412Dic3—41no—
1413Dic3—41no—
1414Dic3—41no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418Dic3—41no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3—41no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—32no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23C2×D3×D412yes—
1468C23C2×D3×D412yes—
1469C23#100412yes—
1470C23#101012yes—
1471C23C24×D311yescharacteristic
1472Q8—124no—
1473Q8—242no—
1474Q8—242no—
1475D4—44no—
1476D4—44no—
1477D4—44no—
1478D4—82no—
1479D4—82no—
1480D4—82no—
1481D4—82no—
1482D4—124no—
1483D4—124no—
1484D4—124no—
1485D4—124no—
1486D4—242no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—32no—
1517C2×C4—32no—
1518C2×C4—32no—
1519C2×C4—32no—
1520C2×C4—68no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—82no—
1563C2×C4—124no—
1564C2×C4—124no—
1565C2×C4—124no—
1566C2×C4—124no—
1567C2×C4—124no—
1568C2×C4—124no—
1569C2×C4—124no—
1570C2×C4—124no—
1571C2×C4—242no—
1572C2×C4—242no—
1573C2×C4—242no—
1574C2×C4C2×D3×D412yes—
1575C2×C3—42no—
1576C2×C3—42no—
1577C2×C3—42no—
1578C2×C3—42no—
1579C2×C3—81no—
1580C2×C3#348411yescharacteristic
1581C2×C3#348511yescharacteristic
1582C2×C3#348911yescharacteristic
1583C2×C3#352911yescharacteristic
1584C2×C3#353311yescharacteristic
1585C2×C3#353511yescharacteristic
1586C2×C3#354111yescharacteristic
1587D3—42no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—416no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—62no—
1625C22—62no—
1626C22—62no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22C22×D3×D411yescharacteristic
1632C22C2×#100411yescharacteristic
1633C22C2×#101011yescharacteristic
1634C22D3×H(5,𝔽2)11yescharacteristic
1635C22#596611yescharacteristic
1636C22#596611yescharacteristic
1637C22#596611yescharacteristic
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—62no—
1649C4—62no—
1650C4—62no—
1651C4—62no—
1652C4—121no—
1653C4—121no—
1654C4—121no—
1655C4—121no—
1656C4—121no—
1657C4—121no—
1658C4—121no—
1659C4—121no—
1660C4—121no—
1661C4—121no—
1662C4—121no—
1663C3#4544711yescharacteristic, complemented, Sylow
1664C2—42no—
1665C2—42no—
1666C2—42no—
1667C2—42no—
1668C2—81no—
1669C2—122no—
1670C2#8629611yescharacteristic
1671C2#8632111yescharacteristic
1672C2#8639911yescharacteristic
1673C2#8662011yescharacteristic
1674C2#8663011yescharacteristic
1675C2#8664611yescharacteristic
1676C2#8707011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2678C2
hypercenter#2678D3
hypocenterC3#45447
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. C2×#5621C2semidirect
2. C2×#5586C2semidirect
3. C3×#2678C2semidirect
4. #82871C2semidirect
5. #82841C2semidirect
6. #82655C2semidirect
7. #82608C2semidirect
8. #82602C2semidirect
9. #82598C2semidirect
10. #77671C2semidirect
11. #77646C2semidirect
12. #77420C2semidirect
13. #77363C2semidirect
14. #77084C2semidirect
15. #77001C2semidirect
16. #76931C2semidirect
17. #76900C2semidirect
18. #76773C2semidirect
19. #76757C2semidirect
20. #76718C2semidirect
21. #76678C2semidirect
22. #76382C2semidirect
23. #76327C2semidirect
24. #76319C2semidirect
25. #76310C2semidirect
26. #75922C2semidirect
27. #75533C2semidirect
28. #74926C2semidirect
29. #74709C2semidirect
30. #73846C2semidirect
31. #73840C2semidirect
44. C2×#938C22semidirect
49. C2×#935C22semidirect
52. C2×#929C22semidirect
53. C2×#924C22semidirect
54. C22×Dic3⋊C4C22semidirect
57. C2×#896C22semidirect
58. C2×#889C22semidirect
60. C2×#885C22semidirect
62. C2×#883C22semidirect
70. C2×#878C22semidirect
98. #5220C22semidirect
99. #5220C22semidirect
100. #5210C22semidirect
101. #4989C22semidirect
102. #4989C22semidirect
103. #4989C22semidirect
104. #4984C22semidirect
105. #4983C22semidirect
106. #4982C22semidirect
107. #4981C22semidirect
108. #4979C22semidirect
109. #4979C22semidirect
110. #4979C22semidirect
111. #4978C22semidirect
112. #4978C22semidirect
113. #4975C22semidirect
114. #4973C22semidirect
116. #4961C22semidirect
119. #4958C22semidirect
125. #4956C22semidirect
128. #4953C22semidirect
129. #4953C22semidirect
134. #4952C22semidirect
139. #4950C22semidirect
141. #4949C22semidirect
144. #4948C22semidirect
145. #4948C22semidirect
148. #4947C22semidirect
156. #4946C22semidirect
157. #4945C22semidirect
161. #4944C22semidirect
164. #4943C22semidirect
168. #4942C22semidirect
169. Dic3×C22⋊C4C22semidirect
170. #4940C22semidirect
171. C4×C4⋊Dic3C22semidirect
172. #4933C22semidirect
173. #4929C22semidirect
174. #4675C22semidirect
175. #4667C22semidirect
176. #4664C22semidirect
177. D3×#95C22semidirect
178. #4660C22semidirect
179. #4660C22semidirect
180. #4658C22semidirect
181. #4658C22semidirect
182. #4658C22semidirect
183. #4657C22semidirect
184. #4657C22semidirect
185. #4656C22semidirect
186. #4656C22semidirect
187. #4655C22semidirect
188. #4652C22semidirect
189. #4647C22semidirect
205. #2678D3semidirect
311. #939D4semidirect
1663. C3#45447semidirect

Maximal subgroups

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

subgroupindex
C2×#56212
C2×#55862
C3×#26782
#828712
#828412
#826552
#826082
#826022
#825982
#776712
#776462
#774202
#773632
#770842
#770012
#769312
#769002
#767732
#767572
#767182
#766782
#763822
#763272
#763192
#763102
#759222
#755332
#749262
#747092
#738462
#738402
#454473