Finite Group Databasebeta

← #11301542

Subgroups — #11301542

Order 768.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5701C211yesmaximal, characteristic, complemented
2C2×#5519C211yesmaximal, characteristic, complemented
3C3×#2479C211yesmaximal, characteristic
4#83096C211yesmaximal, characteristic, complemented
5#82251C211yesmaximal, characteristic, complemented
6#78070C211yesmaximal, characteristic, complemented
7#78047C211yesmaximal, characteristic, complemented
8#78039C211yesmaximal, characteristic, complemented
9#78020C211yesmaximal, characteristic, complemented
10#77926C211yesmaximal, characteristic, complemented
11#77860C211yesmaximal, characteristic, complemented
12#77043C211yesmaximal, characteristic
13#77023C211yesmaximal, characteristic
14#76401C211yesmaximal, characteristic
15#76360C211yesmaximal, characteristic
16#76126C211yesmaximal, characteristic, complemented
17#76005C211yesmaximal, characteristic, complemented
18#75706C211yesmaximal, characteristic, complemented
19#75706C211yesmaximal, characteristic, complemented
20#75702C211yesmaximal, characteristic, complemented
21#75684C211yesmaximal, characteristic, complemented
22#75565C211yesmaximal, characteristic, complemented
23#75497C211yesmaximal, characteristic, complemented
24#75157C211yesmaximal, characteristic, complemented
25#74950C211yesmaximal, characteristic, complemented
26#74779C211yesmaximal, characteristic
27#74737C211yesmaximal, characteristic
28#74501C211yesmaximal, characteristic, complemented
29#74442C211yesmaximal, characteristic, complemented
30#73683C211yesmaximal, characteristic, complemented
31#73672C211yesmaximal, characteristic, complemented
32#47822—31nomaximal, Sylow
33C2×C3×#126C2211yescharacteristic
34C2×C3×#117C2211yescharacteristic
35C2×#926C2211yescharacteristic
36C22×C4⋊Dic3C2211yescharacteristic
37#5701—28no—
38#5519—28no—
39C2×#890C2211yescharacteristic
40C2×#890C2211yescharacteristic
41C2×#890C2211yescharacteristic
42C2×#889C2211yescharacteristic
43C2×#889C2211yescharacteristic
44C2×#889C2211yescharacteristic
45C2×#888C2211yescharacteristic
46C2×#888C2211yescharacteristic
47C2×#887C2211yescharacteristic
48C2×#879C2211yescharacteristic
49C2×#879C2211yescharacteristic
50C2×#879C2211yescharacteristic
51C2×#878C2211yescharacteristic
52C2×#878C2211yescharacteristic
53C2×#878C2211yescharacteristic
54C2×#878C2211yescharacteristic
55C2×#878C2211yescharacteristic
56C2×#878C2211yescharacteristic
57C2×#877C2211yescharacteristic
58C2×#870C2211yescharacteristic
59C2×#870C2211yescharacteristic
60C2×#870C2211yescharacteristic
61C2×#869C2211yescharacteristic
62C2×#869C2211yescharacteristic
63C2×C4×Dic6C2211yescharacteristic
64C3×#399C2211yescharacteristic
65C3×#399C2211yescharacteristic
66C3×#398C2211yescharacteristic
67C3×#394C2211yescharacteristic
68C3×#390C2211yescharacteristic
69C3×#389C2211yescharacteristic
70C3×#388C2211yescharacteristic
71C3×#388C2211yescharacteristic
72C3×#388C2211yescharacteristic
73C3×#387C2211yescharacteristic
74C3×#386C2211yescharacteristic
75C3×#385C2211yescharacteristic
76C3×C4×C4⋊C4C2211yescharacteristic
77#5222C2211yescharacteristic
78#5220C2211yescharacteristic
79#5220C2211yescharacteristic
80#5220C2211yescharacteristic
81#5210C2211yescharacteristic
82#5210C2211yescharacteristic
83#4986C2211yescharacteristic
84#4985C2211yescharacteristic
85#4984C2211yescharacteristic
86#4984C2211yescharacteristic
87#4984C2211yescharacteristic
88#4983C2211yescharacteristic
89#4983C2211yescharacteristic
90#4983C2211yescharacteristic
91#4983C2211yescharacteristic
92#4982C2211yescharacteristic
93#4982C2211yescharacteristic
94#4982C2211yescharacteristic
95#4982C2211yescharacteristic
96#4982C2211yescharacteristic
97#4982C2211yescharacteristic
98#4981C2211yescharacteristic
99#4980C2211yescharacteristic
100#4980C2211yescharacteristic
101#4980C2211yescharacteristic
102#4980C2211yescharacteristic
103#4980C2211yescharacteristic
104#4978C2211yescharacteristic
105#4976C2211yescharacteristic
106#4976C2211yescharacteristic
107#4976C2211yescharacteristic
108#4975C2211yescharacteristic
109#4973C2211yescharacteristic
110#4973C2211yescharacteristic
111#4973C2211yescharacteristic
112#4972C2211yescharacteristic
113#4972C2211yescharacteristic
114#4953C2211yescharacteristic
115#4953C2211yescharacteristic
116#4952C2211yescharacteristic
117#4952C2211yescharacteristic
118#4951C2211yescharacteristic
119#4951C2211yescharacteristic
120#4951C2211yescharacteristic
121#4950C2211yescharacteristic
122#4950C2211yescharacteristic
123#4950C2211yescharacteristic
124#4950C2211yescharacteristic
125#4950C2211yescharacteristic
126#4949C2211yescharacteristic
127#4949C2211yescharacteristic
128#4948C2211yescharacteristic
129#4948C2211yescharacteristic
130#4948C2211yescharacteristic
131#4948C2211yescharacteristic
132#4948C2211yescharacteristic
133#4948C2211yescharacteristic
134#4947C2211yescharacteristic
135#4947C2211yescharacteristic
136#4945C2211yescharacteristic
137#4945C2211yescharacteristic
138#4945C2211yescharacteristic
139#4944C2211yescharacteristic
140#4944C2211yescharacteristic
141#4944C2211yescharacteristic
142#4944C2211yescharacteristic
143#4944C2211yescharacteristic
144#4942C2211yescharacteristic
145#4942C2211yescharacteristic
146Dic3×C22⋊C4C2211yescharacteristic
147Dic3×C22⋊C4C2211yescharacteristic
148#4933C2211yescharacteristic
149#4933C2211yescharacteristic
150#4933C2211yescharacteristic
151C4×Dic3⋊C4C2211yescharacteristic
152C4×Dic3⋊C4C2211yescharacteristic
153#4929C2211yescharacteristic
154#4929C2211yescharacteristic
155#4929C2211yescharacteristic
156#4928C2211yescharacteristic
157#4928C2211yescharacteristic
158#4661C2211yescharacteristic
159#4661C2211yescharacteristic
160#4661C2211yescharacteristic
161#4660C2211yescharacteristic
162#4660C2211yescharacteristic
163#4660C2211yescharacteristic
164#4660C2211yescharacteristic
165#4660C2211yescharacteristic
166#4660C2211yescharacteristic
167#4659C2211yescharacteristic
168#4659C2211yescharacteristic
169#4657C2211yescharacteristic
170#4657C2211yescharacteristic
171#4657C2211yescharacteristic
172#4656C2211yescharacteristic
173#4656C2211yescharacteristic
174#4655C2211yescharacteristic
175#4655C2211yescharacteristic
176#4655C2211yescharacteristic
177#4654C2211yescharacteristic
178#4653C2211yescharacteristic
179#4653C2211yescharacteristic
180#4653C2211yescharacteristic
181#4653C2211yescharacteristic
182#4650C2211yescharacteristic
183#4650C2211yescharacteristic
184#4649C2211yescharacteristic
185#4648C2211yescharacteristic
186#4647C2211yescharacteristic
187#4647C2211yescharacteristic
188#4646C2211yescharacteristic
189#4646C2211yescharacteristic
190C2×#544—31no—
191C2×#541—31no—
192#2822—31no—
193#2732—31no—
194#2729—31no—
195#2729—31no—
196#2728—31no—
197#2726—31no—
198#2725—31no—
199#2721—31no—
200#2719—31no—
201#2716—31no—
202#2713—31no—
203#2704—31no—
204#2702—31no—
205#2611—31no—
206#2611—31no—
207#2609—31no—
208#2560—31no—
209#2556—31no—
210#2519—31no—
211#2506—31no—
212#2481—31no—
213#2479D311yescharacteristic
214#2475—31no—
215#2473—31no—
216#2446—31no—
217#2446—31no—
218#2423—31no—
219#2421—31no—
220#2331—31no—
221C22×C3×D4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×Dic3C2311yescharacteristic
224C23×Dic3C2311yescharacteristic
225C23×Dic3C2311yescharacteristic
226C22×Dic6C2311yescharacteristic
227C22×Dic6C2311yescharacteristic
228C22×Dic6C2311yescharacteristic
229C22×Dic6C2311yescharacteristic
230C3×#126—24no—
231C3×#117—24no—
232C2×C3×C4⋊C4C2311yescharacteristic
233C2×C3×C4⋊C4C2311yescharacteristic
234C2×C3×C4⋊C4C2311yescharacteristic
235C2×C3×C4⋊C4C2311yescharacteristic
236C2×C3×C4⋊C4C2311yescharacteristic
237C2×C3×C4⋊C4C2311yescharacteristic
238C2×C3×C4⋊C4C2311yescharacteristic
239C2×C3×C4⋊C4C2311yescharacteristic
240C2×C3×C4⋊C4C2311yescharacteristic
241C2×C3×C4⋊C4C2311yescharacteristic
242C2×C3×C22⋊C4C2311yescharacteristic
243C2×C3×C22⋊C4C2311yescharacteristic
244C2×C3×C22⋊C4C2311yescharacteristic
245C2×C3×C22⋊C4C2311yescharacteristic
246C2×C3×C22⋊C4C2311yescharacteristic
247C2×C3×C22⋊C4C2311yescharacteristic
248C2×C3×C22⋊C4C2311yescharacteristic
249C2×C3×C22⋊C4C2311yescharacteristic
250C2×C3×C22⋊C4C2311yescharacteristic
251C2×C3×C22⋊C4C2311yescharacteristic
252C2×C3×C22⋊C4C2311yescharacteristic
253C2×C3×C42C2311yescharacteristic
254C2×C3×C42C2311yescharacteristic
255C2×C3×C42C2311yescharacteristic
256C2×C3×C42C2311yescharacteristic
257C2×#217C2311yescharacteristic
258C2×#217C2311yescharacteristic
259C2×#217C2311yescharacteristic
260C2×#217C2311yescharacteristic
261C2×#217C2311yescharacteristic
262C2×#217C2311yescharacteristic
263C2×#217C2311yescharacteristic
264C2×#217C2311yescharacteristic
265C2×#217C2311yescharacteristic
266C2×#217C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270#926—24no—
271C2×C4⋊Dic3—24no—
272C2×C4⋊Dic3C2311yescharacteristic
273C2×C4⋊Dic3C2311yescharacteristic
274C2×C4⋊Dic3C2311yescharacteristic
275C2×C4⋊Dic3C2311yescharacteristic
276C2×C4⋊Dic3C2311yescharacteristic
277C2×C4⋊Dic3C2311yescharacteristic
278C2×C4⋊Dic3C2311yescharacteristic
279C2×C4⋊Dic3C2311yescharacteristic
280C2×C4⋊Dic3C2311yescharacteristic
281C2×C4⋊Dic3C2311yescharacteristic
282C2×C4⋊Dic3C2311yescharacteristic
283C2×C4⋊Dic3C2311yescharacteristic
284C2×C4⋊Dic3C2311yescharacteristic
285C2×C4⋊Dic3C2311yescharacteristic
286C2×C4⋊Dic3C2311yescharacteristic
287C2×C4⋊Dic3C2311yescharacteristic
288C2×C4⋊Dic3C2311yescharacteristic
289C2×C4⋊Dic3C2311yescharacteristic
290C2×C4⋊Dic3C2311yescharacteristic
291C2×Dic3⋊C4C2311yescharacteristic
292C2×Dic3⋊C4C2311yescharacteristic
293C2×Dic3⋊C4C2311yescharacteristic
294C2×Dic3⋊C4C2311yescharacteristic
295C2×Dic3⋊C4C2311yescharacteristic
296C2×Dic3⋊C4C2311yescharacteristic
297C2×Dic3⋊C4C2311yescharacteristic
298C2×Dic3⋊C4C2311yescharacteristic
299C2×Dic3⋊C4C2311yescharacteristic
300C2×Dic3⋊C4C2311yescharacteristic
301C2×Dic3⋊C4C2311yescharacteristic
302C2×Dic3⋊C4C2311yescharacteristic
303C2×Dic3⋊C4C2311yescharacteristic
304C2×Dic3⋊C4C2311yescharacteristic
305C2×Dic3⋊C4C2311yescharacteristic
306C2×Dic3⋊C4C2311yescharacteristic
307C2×Dic3⋊C4C2311yescharacteristic
308C2×Dic3⋊C4C2311yescharacteristic
309C2×Dic3⋊C4C2311yescharacteristic
310C2×Dic3⋊C4C2311yescharacteristic
311C2×Dic3⋊C4C2311yescharacteristic
312C2×Dic3⋊C4C2311yescharacteristic
313C2×Dic3⋊C4C2311yescharacteristic
314C2×Dic3⋊C4C2311yescharacteristic
315C2×Dic3⋊C4C2311yescharacteristic
316C2×Dic3⋊C4C2311yescharacteristic
317C2×Dic3⋊C4C2311yescharacteristic
318C2×Dic3⋊C4C2311yescharacteristic
319C2×C4×Dic3C2311yescharacteristic
320C2×C4×Dic3C2311yescharacteristic
321C2×C4×Dic3C2311yescharacteristic
322C2×C4×Dic3C2311yescharacteristic
323C2×C4×Dic3C2311yescharacteristic
324C2×C4×Dic3C2311yescharacteristic
325C2×C4×Dic3C2311yescharacteristic
326C2×C4×Dic3C2311yescharacteristic
327C2×C4×Dic3C2311yescharacteristic
328C2×C4×Dic3C2311yescharacteristic
329C2×C4×Dic3C2311yescharacteristic
330#890—24no—
331#890—24no—
332#890—24no—
333#889—24no—
334#889—24no—
335#889—24no—
336#888—24no—
337#888D418yescomplemented
338#887—24no—
339#879—24no—
340#879—24no—
341#879—24no—
342#878—24no—
343#878—24no—
344#878—24no—
345#878—24no—
346#878—24no—
347#878—24no—
348#877—24no—
349#870—24no—
350#870—24no—
351#870—24no—
352#869—24no—
353#869—24no—
354C4×Dic6—24no—
355C3×#95C2311yescharacteristic
356C3×#95C2311yescharacteristic
357C3×#95C2311yescharacteristic
358C3×#95C2311yescharacteristic
359C3×#95C2311yescharacteristic
360C3×#95C2311yescharacteristic
361C3×#95C2311yescharacteristic
362C3×#95C2311yescharacteristic
363C3⋊#95C2311yescharacteristic
364C3⋊#95C2311yescharacteristic
365C3⋊#95C2311yescharacteristic
366C3⋊#95C2311yescharacteristic
367C3⋊#95C2311yescharacteristic
368C3⋊#95C2311yescharacteristic
369C3⋊#95C2311yescharacteristic
370C3⋊#95C2311yescharacteristic
371C3⋊#95C2311yescharacteristic
372C3⋊#95C2311yescharacteristic
373C3⋊#95C2311yescharacteristic
374C3⋊#95C2311yescharacteristic
375C3⋊#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
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
405#544—68no—
406#541—68no—
407C2×C4⋊Q8—31no—
408C2×C4⋊Q8—31no—
409C2×C4⋊Q8—31no—
410C2×C4⋊Q8—31no—
411C2×#126—31no—
412C2×#126—31no—
413C2×#126—31no—
414C2×#126C2×D311yescharacteristic
415C2×#125—31no—
416C2×#125—31no—
417C2×#125—31no—
418C2×#125—31no—
419C2×#125—31no—
420C2×#125—31no—
421C2×#125—31no—
422C2×#125—31no—
423C2×#125—31no—
424C2×C22⋊Q8—31no—
425C2×C22⋊Q8—31no—
426C2×C22⋊Q8—31no—
427C2×C22⋊Q8—31no—
428C2×C22⋊Q8—31no—
429C2×C22⋊Q8—31no—
430C2×C4×Q8—31no—
431C2×C4×Q8—31no—
432C2×#117—31no—
433C2×#117—31no—
434C2×#117C2×D311yescharacteristic
435C22×C4⋊C4—31no—
436#400—31no—
437#400—31no—
438#400—31no—
439#400—31no—
440#400—31no—
441#400—31no—
442#400—31no—
443#400—31no—
444#400—31no—
445#400—31no—
446#399—31no—
447#399—31no—
448#399C2×D311yescharacteristic
449#399C2×D311yescharacteristic
450#398—31no—
451#398—31no—
452#398—31no—
453#398—31no—
454#398—31no—
455#398—31no—
456#398—31no—
457#398—31no—
458#398—31no—
459#398—31no—
460#398—31no—
461#398—31no—
462#398—31no—
463#398—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#398C2×D311yescharacteristic
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#396—31no—
473#396—31no—
474#396—31no—
475#396—31no—
476#396—31no—
477#396—31no—
478#395—31no—
479#395—31no—
480#394—31no—
481#394C2×D311yescharacteristic
482#393—31no—
483#393—31no—
484#391—31no—
485#391—31no—
486#391—31no—
487#391—31no—
488#391—31no—
489#391—31no—
490#391—31no—
491#391—31no—
492#390C2×D311yescharacteristic
493#389—31no—
494#389—31no—
495#389—31no—
496#389—31no—
497#389—31no—
498#389—31no—
499#389—31no—
500#389—31no—
501#389—31no—
502#389—31no—
503#389—31no—
504#389—31no—
505#389C2×D311yescharacteristic
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388C2×D311yescharacteristic
518#388C2×D311yescharacteristic
519#388C2×D311yescharacteristic
520#387—31no—
521#387—31no—
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#387—31no—
535#387—31no—
536#387—31no—
537#387C2×D311yescharacteristic
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#385C2×D311yescharacteristic
550#384—31no—
551#382—31no—
552#382—31no—
553#380—31no—
554#380—31no—
555C4×C4⋊C4—31no—
556C4×C4⋊C4—31no—
557C4×C4⋊C4—31no—
558C4×C4⋊C4C2×D311yescharacteristic
559C4×C22⋊C4—31no—
560C4×C22⋊C4—31no—
561#376—31no—
562C24×C3C2411yescharacteristic
563C24×C3C2411yescharacteristic
564C2×C3×D4—22no—
565C2×C3×D4—41no—
566C2×C3×D4—41no—
567C22×C3×C4—22no—
568C22×C3×C4—22no—
569C22×C3×C4—22no—
570C22×C3×C4C2411yescharacteristic
571C22×C3×C4C2411yescharacteristic
572C22×C3×C4C2411yescharacteristic
573C22×C3×C4C2411yescharacteristic
574C22×C3×C4C2411yescharacteristic
575C22×C3×C4C2411yescharacteristic
576C22×C3×C4C2411yescharacteristic
577C22×C3×C4C2411yescharacteristic
578C22×C3×C4C2411yescharacteristic
579C22×C3×C4C2411yescharacteristic
580C22×C3×C4C2411yescharacteristic
581C22×C3×C4C2411yescharacteristic
582C22×C3×C4C2411yescharacteristic
583C22×Dic3—22no—
584C22×Dic3—22no—
585C22×Dic3—22no—
586C22×Dic3—41no—
587C22×Dic3—41no—
588C22×Dic3—41no—
589C22×Dic3—41no—
590C22×Dic3—41no—
591C22×Dic3—41no—
592C22×Dic3C2411yescharacteristic
593C22×Dic3C2411yescharacteristic
594C22×Dic3C2411yescharacteristic
595C22×Dic3C2411yescharacteristic
596C22×Dic3C2411yescharacteristic
597C22×Dic3C2411yescharacteristic
598C22×Dic3C2411yescharacteristic
599C22×Dic3C2411yescharacteristic
600C22×Dic3C2411yescharacteristic
601C22×Dic3C2411yescharacteristic
602C22×Dic3C2411yescharacteristic
603C22×Dic3C2411yescharacteristic
604C22×Dic3C2411yescharacteristic
605C22×Dic3C2411yescharacteristic
606C22×Dic3C2411yescharacteristic
607C22×Dic3C2411yescharacteristic
608C2×Dic6—22no—
609C2×Dic6—22no—
610C2×Dic6—41no—
611C2×Dic6—41no—
612C2×Dic6—41no—
613C2×Dic6—41no—
614C2×Dic6—41no—
615C2×Dic6—41no—
616C2×Dic6—41no—
617C2×Dic6—41no—
618C2×Dic6C2×D414yes—
619C2×Dic6C2×D414yes—
620C3×C4⋊C4—22no—
621C3×C4⋊C4—22no—
622C3×C4⋊C4—22no—
623C3×C4⋊C4—22no—
624C3×C4⋊C4—22no—
625C3×C4⋊C4—41no—
626C3×C4⋊C4—41no—
627C3×C4⋊C4—41no—
628C3×C4⋊C4—41no—
629C3×C4⋊C4C2×D414yes—
630C3×C22⋊C4—22no—
631C3×C22⋊C4—22no—
632C3×C22⋊C4—22no—
633C3×C22⋊C4—22no—
634C3×C22⋊C4—22no—
635C3×C22⋊C4—22no—
636C3×C22⋊C4—22no—
637C3×C22⋊C4—22no—
638C3×C22⋊C4—22no—
639C3×C22⋊C4—41no—
640C3×C22⋊C4—41no—
641C3×C42—22no—
642C3×C42—22no—
643C3×C42—22no—
644C3×C42—41no—
645#217—22no—
646#217—22no—
647#217—22no—
648#217—22no—
649#217—22no—
650#217—22no—
651#217—22no—
652#217—41no—
653#217—41no—
654#217—41no—
655#217—41no—
656#217—41no—
657#217—41no—
658C4⋊Dic3—22no—
659C4⋊Dic3—22no—
660C4⋊Dic3—22no—
661C4⋊Dic3—22no—
662C4⋊Dic3—22no—
663C4⋊Dic3—22no—
664C4⋊Dic3—22no—
665C4⋊Dic3—22no—
666C4⋊Dic3—22no—
667C4⋊Dic3—22no—
668C4⋊Dic3—22no—
669C4⋊Dic3—22no—
670C4⋊Dic3—22no—
671C4⋊Dic3—22no—
672C4⋊Dic3—41no—
673C4⋊Dic3—41no—
674C4⋊Dic3—41no—
675C4⋊Dic3—41no—
676C4⋊Dic3C2×D414yes—
677Dic3⋊C4—22no—
678Dic3⋊C4—22no—
679Dic3⋊C4—22no—
680Dic3⋊C4—22no—
681Dic3⋊C4—22no—
682Dic3⋊C4—22no—
683Dic3⋊C4—22no—
684Dic3⋊C4—22no—
685Dic3⋊C4—22no—
686Dic3⋊C4—22no—
687Dic3⋊C4—22no—
688Dic3⋊C4—22no—
689Dic3⋊C4—22no—
690Dic3⋊C4—22no—
691Dic3⋊C4—22no—
692Dic3⋊C4—22no—
693Dic3⋊C4—22no—
694Dic3⋊C4—22no—
695Dic3⋊C4—41no—
696Dic3⋊C4—41no—
697Dic3⋊C4—41no—
698Dic3⋊C4—41no—
699Dic3⋊C4—41no—
700Dic3⋊C4—41no—
701Dic3⋊C4—41no—
702Dic3⋊C4—41no—
703Dic3⋊C4C2×D414yes—
704Dic3⋊C4C2×D414yes—
705C4×Dic3—22no—
706C4×Dic3—22no—
707C4×Dic3—22no—
708C4×Dic3—22no—
709C4×Dic3—22no—
710C4×Dic3—22no—
711C4×Dic3—41no—
712C4×Dic3—41no—
713C4×Dic3—41no—
714C4×Dic3—41no—
715C4×Dic3C2×D414yes—
716C22×Q8—31no—
717C22×Q8—31no—
718C22×Q8—31no—
719C22×Q8—31no—
720C22×D4C22×D311yescharacteristic
721C23×C4—31no—
722C23×C4—31no—
723C23×C4—31no—
724C23×C4C22×D311yescharacteristic
725C4⋊Q8—38no—
726C4⋊Q8—64no—
727C4⋊Q8—64no—
728C4⋊Q8—64no—
729#126—24no—
730#126—64no—
731#126—64no—
732#126—64no—
733#125—64no—
734#125—64no—
735#125—64no—
736#125—64no—
737#125—64no—
738#125—64no—
739#125—64no—
740#125—64no—
741#125—64no—
742C22⋊Q8—64no—
743C22⋊Q8—64no—
744C22⋊Q8—64no—
745C22⋊Q8—64no—
746C22⋊Q8—64no—
747C22⋊Q8—64no—
748C4×Q8—64no—
749C4×Q8—64no—
750#117—24no—
751#117—64no—
752#117—64no—
753C2×C4⋊C4—31no—
754C2×C4⋊C4—31no—
755C2×C4⋊C4—31no—
756C2×C4⋊C4—31no—
757C2×C4⋊C4—31no—
758C2×C4⋊C4—31no—
759C2×C4⋊C4—31no—
760C2×C4⋊C4—31no—
761C2×C4⋊C4—31no—
762C2×C4⋊C4—31no—
763C2×C4⋊C4—31no—
764C2×C4⋊C4—31no—
765C2×C4⋊C4—31no—
766C2×C4⋊C4—31no—
767C2×C4⋊C4—31no—
768C2×C4⋊C4—31no—
769C2×C4⋊C4—31no—
770C2×C4⋊C4—31no—
771C2×C4⋊C4—31no—
772C2×C4⋊C4—31no—
773C2×C4⋊C4—31no—
774C2×C4⋊C4—31no—
775C2×C4⋊C4—31no—
776C2×C4⋊C4—31no—
777C2×C4⋊C4—31no—
778C2×C4⋊C4—31no—
779C2×C4⋊C4—31no—
780C2×C4⋊C4—31no—
781C2×C4⋊C4—31no—
782C2×C4⋊C4—31no—
783C2×C4⋊C4—31no—
784C2×C4⋊C4—31no—
785C2×C4⋊C4—31no—
786C2×C4⋊C4—31no—
787C2×C4⋊C4—31no—
788C2×C4⋊C4—31no—
789C2×C4⋊C4—31no—
790C2×C4⋊C4—31no—
791C2×C4⋊C4—31no—
792C2×C4⋊C4—31no—
793C2×C4⋊C4—31no—
794C2×C4⋊C4—31no—
795C2×C4⋊C4—31no—
796C2×C4⋊C4—31no—
797C2×C4⋊C4—31no—
798C2×C4⋊C4—31no—
799C2×C4⋊C4—31no—
800C2×C4⋊C4—64no—
801C2×C4⋊C4C22×D311yescharacteristic
802C2×C4⋊C4C22×D311yescharacteristic
803C2×C4⋊C4C22×D311yescharacteristic
804C2×C4⋊C4C22×D311yescharacteristic
805C2×C4⋊C4C22×D311yescharacteristic
806C2×C4⋊C4C22×D311yescharacteristic
807C2×C4⋊C4C22×D311yescharacteristic
808C2×C4⋊C4C22×D311yescharacteristic
809C2×C4⋊C4C22×D311yescharacteristic
810C2×C4⋊C4C22×D311yescharacteristic
811C2×C22⋊C4—31no—
812C2×C22⋊C4—31no—
813C2×C22⋊C4—31no—
814C2×C22⋊C4—31no—
815C2×C22⋊C4—31no—
816C2×C22⋊C4—31no—
817C2×C22⋊C4—31no—
818C2×C22⋊C4—31no—
819C2×C22⋊C4—31no—
820C2×C22⋊C4—31no—
821C2×C22⋊C4—31no—
822C2×C22⋊C4—31no—
823C2×C22⋊C4—31no—
824C2×C22⋊C4C22×D311yescharacteristic
825C2×C22⋊C4C22×D311yescharacteristic
826C2×C22⋊C4C22×D311yescharacteristic
827C2×C22⋊C4C22×D311yescharacteristic
828C2×C22⋊C4C22×D311yescharacteristic
829C2×C22⋊C4C22×D311yescharacteristic
830C2×C22⋊C4C22×D311yescharacteristic
831C2×C22⋊C4C22×D311yescharacteristic
832C2×C22⋊C4C22×D311yescharacteristic
833C2×C22⋊C4C22×D311yescharacteristic
834C2×C22⋊C4C22×D311yescharacteristic
835C2×C42—31no—
836C2×C42—31no—
837C2×C42—31no—
838C2×C42—31no—
839C2×C42—31no—
840C2×C42—31no—
841C2×C42—31no—
842C2×C42—31no—
843C2×C42—31no—
844C2×C42—31no—
845C2×C42—31no—
846C2×C42C22×D311yescharacteristic
847C2×C42C22×D311yescharacteristic
848C2×C42C22×D311yescharacteristic
849C2×C42C22×D311yescharacteristic
850#95—31no—
851#95—31no—
852#95—31no—
853#95—31no—
854#95—31no—
855#95—31no—
856#95—31no—
857#95—31no—
858#95—31no—
859#95—31no—
860#95—31no—
861#95—31no—
862#95—31no—
863#95—31no—
864#95—31no—
865#95—31no—
866#95—31no—
867#95—31no—
868#95—31no—
869#95—31no—
870#95—31no—
871#95—31no—
872#95—31no—
873#95—31no—
874#95—31no—
875#95—31no—
876#95—31no—
877#95—31no—
878#95—31no—
879#95—31no—
880#95—31no—
881#95—31no—
882#95—31no—
883#95—31no—
884#95—31no—
885#95—31no—
886#95—31no—
887#95—31no—
888#95—31no—
889#95—31no—
890#95—31no—
891#95—31no—
892#95C22×D311yescharacteristic
893#95C22×D311yescharacteristic
894#95C22×D311yescharacteristic
895#95C22×D311yescharacteristic
896#95C22×D311yescharacteristic
897#95C22×D311yescharacteristic
898#95C22×D311yescharacteristic
899#95C22×D311yescharacteristic
900C23×C3—21no—
901C23×C3—21no—
902C23×C3—21no—
903C23×C3—21no—
904C23×C3—21no—
905C23×C3—21no—
906C23×C3—21no—
907C23×C3—21no—
908C23×C3—21no—
909C23×C3—21no—
910C23×C3—21no—
911C23×C3—21no—
912C23×C3—21no—
913C23×C32−1+412yes—
914C23×C3C2511yescharacteristic
915C3×D4—82no—
916C2×C3×C4—28no—
917C2×C3×C4—21no—
918C2×C3×C4—21no—
919C2×C3×C4—21no—
920C2×C3×C4—21no—
921C2×C3×C4—21no—
922C2×C3×C4—21no—
923C2×C3×C4—21no—
924C2×C3×C4—21no—
925C2×C3×C4—21no—
926C2×C3×C4—21no—
927C2×C3×C4—21no—
928C2×C3×C4—21no—
929C2×C3×C4—21no—
930C2×C3×C4—21no—
931C2×C3×C4—21no—
932C2×C3×C4—21no—
933C2×C3×C4—21no—
934C2×C3×C4—21no—
935C2×C3×C4—21no—
936C2×C3×C4—21no—
937C2×C3×C4—21no—
938C2×C3×C4—21no—
939C2×C3×C4—21no—
940C2×C3×C4—21no—
941C2×C3×C4—21no—
942C2×C3×C4—21no—
943C2×C3×C4—21no—
944C2×C3×C4—21no—
945C2×C3×C4—21no—
946C2×C3×C4—21no—
947C2×C3×C4—21no—
948C2×C3×C4—21no—
949C2×C3×C4—21no—
950C2×C3×C4—21no—
951C2×C3×C4C22×D412yes—
952C2×C3×C4C22×D412yes—
953C2×C3×C4C22×D412yes—
954C2×C3×C42−1+412yes—
955C2×C3×C42−1+412yes—
956C2×Dic3—21no—
957C2×Dic3—21no—
958C2×Dic3—21no—
959C2×Dic3—21no—
960C2×Dic3—21no—
961C2×Dic3—21no—
962C2×Dic3—21no—
963C2×Dic3—21no—
964C2×Dic3—21no—
965C2×Dic3—21no—
966C2×Dic3—21no—
967C2×Dic3—21no—
968C2×Dic3—21no—
969C2×Dic3—21no—
970C2×Dic3—21no—
971C2×Dic3—21no—
972C2×Dic3—21no—
973C2×Dic3—21no—
974C2×Dic3—21no—
975C2×Dic3—21no—
976C2×Dic3—21no—
977C2×Dic3—21no—
978C2×Dic3—21no—
979C2×Dic3—21no—
980C2×Dic3—21no—
981C2×Dic3—21no—
982C2×Dic3—21no—
983C2×Dic3—21no—
984C2×Dic3—21no—
985C2×Dic3—21no—
986C2×Dic3—21no—
987C2×Dic3—21no—
988C2×Dic3—21no—
989C2×Dic3—21no—
990C2×Dic3—21no—
991C2×Dic3—21no—
992C2×Dic3—21no—
993C2×Dic3—21no—
994C2×Dic3—21no—
995C2×Dic3—21no—
996C2×Dic3—21no—
997C2×Dic3—21no—
998C2×Dic3—21no—
999C2×Dic3—21no—
1000C2×Dic3—44no—
1001C2×Dic3—82no—
1002C2×Dic3—82no—
1003C2×Dic3C22×D412yes—
1004C2×Dic3C22×D412yes—
1005C2×Dic3C22×D412yes—
1006C2×Dic3C22×D412yes—
1007Dic6—44no—
1008Dic6—44no—
1009Dic6—82no—
1010Dic6—82no—
1011C24C23×D311yescharacteristic
1012C24C23×D311yescharacteristic
1013C2×Q8—34no—
1014C2×Q8—34no—
1015C2×Q8—62no—
1016C2×Q8—62no—
1017C2×Q8—121no—
1018C2×Q8—121no—
1019C2×Q8—121no—
1020C2×Q8—121no—
1021C2×Q8—121no—
1022C2×Q8—121no—
1023C2×Q8—121no—
1024C2×Q8—121no—
1025C2×D4—22no—
1026C2×D4—41no—
1027C2×D4—41no—
1028C22×C4—22no—
1029C22×C4—22no—
1030C22×C4—22no—
1031C22×C4—31no—
1032C22×C4—31no—
1033C22×C4—31no—
1034C22×C4—31no—
1035C22×C4—31no—
1036C22×C4—31no—
1037C22×C4—31no—
1038C22×C4—31no—
1039C22×C4—31no—
1040C22×C4—31no—
1041C22×C4—31no—
1042C22×C4—31no—
1043C22×C4—31no—
1044C22×C4—31no—
1045C22×C4—31no—
1046C22×C4—31no—
1047C22×C4—62no—
1048C22×C4—62no—
1049C22×C4—62no—
1050C22×C4—121no—
1051C22×C4—121no—
1052C22×C4—121no—
1053C22×C4—121no—
1054C22×C4—121no—
1055C22×C4—121no—
1056C22×C4C23×D311yescharacteristic
1057C22×C4C23×D311yescharacteristic
1058C22×C4C23×D311yescharacteristic
1059C22×C4C23×D311yescharacteristic
1060C22×C4C23×D311yescharacteristic
1061C22×C4C23×D311yescharacteristic
1062C22×C4C23×D311yescharacteristic
1063C22×C4C23×D311yescharacteristic
1064C22×C4C23×D311yescharacteristic
1065C22×C4C23×D311yescharacteristic
1066C22×C4C23×D311yescharacteristic
1067C22×C4C23×D311yescharacteristic
1068C22×C4C23×D311yescharacteristic
1069C4⋊C4—22no—
1070C4⋊C4—22no—
1071C4⋊C4—22no—
1072C4⋊C4—22no—
1073C4⋊C4—22no—
1074C4⋊C4—34no—
1075C4⋊C4—34no—
1076C4⋊C4—34no—
1077C4⋊C4—41no—
1078C4⋊C4—41no—
1079C4⋊C4—41no—
1080C4⋊C4—41no—
1081C4⋊C4—62no—
1082C4⋊C4—62no—
1083C4⋊C4—62no—
1084C4⋊C4—62no—
1085C4⋊C4—62no—
1086C4⋊C4—62no—
1087C4⋊C4—62no—
1088C4⋊C4—62no—
1089C4⋊C4—62no—
1090C4⋊C4—62no—
1091C4⋊C4—62no—
1092C4⋊C4—62no—
1093C4⋊C4—62no—
1094C4⋊C4—62no—
1095C4⋊C4—62no—
1096C4⋊C4—62no—
1097C4⋊C4—62no—
1098C4⋊C4—62no—
1099C4⋊C4—62no—
1100C4⋊C4—62no—
1101C4⋊C4—62no—
1102C4⋊C4—62no—
1103C4⋊C4—62no—
1104C4⋊C4—62no—
1105C4⋊C4—62no—
1106C4⋊C4—62no—
1107C4⋊C4—62no—
1108C4⋊C4—62no—
1109C4⋊C4—62no—
1110C4⋊C4—62no—
1111C4⋊C4—62no—
1112C4⋊C4—62no—
1113C4⋊C4—121no—
1114C4⋊C4—121no—
1115C4⋊C4—121no—
1116C4⋊C4—121no—
1117C4⋊C4—121no—
1118C4⋊C4—121no—
1119C4⋊C4—121no—
1120C4⋊C4—121no—
1121C4⋊C4—121no—
1122C4⋊C4—121no—
1123C4⋊C4—121no—
1124C4⋊C4—121no—
1125C4⋊C4D3×D414yes—
1126C22⋊C4—22no—
1127C22⋊C4—22no—
1128C22⋊C4—22no—
1129C22⋊C4—22no—
1130C22⋊C4—22no—
1131C22⋊C4—22no—
1132C22⋊C4—22no—
1133C22⋊C4—22no—
1134C22⋊C4—22no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—62no—
1138C22⋊C4—62no—
1139C22⋊C4—62no—
1140C22⋊C4—62no—
1141C22⋊C4—62no—
1142C22⋊C4—62no—
1143C22⋊C4—62no—
1144C22⋊C4—121no—
1145C22⋊C4—121no—
1146C22⋊C4—121no—
1147C22⋊C4—121no—
1148C22⋊C4—121no—
1149C22⋊C4—121no—
1150C42—22no—
1151C42—22no—
1152C42—22no—
1153C42—34no—
1154C42—41no—
1155C42—62no—
1156C42—62no—
1157C42—62no—
1158C42—62no—
1159C42—62no—
1160C42—62no—
1161C42—121no—
1162C42—121no—
1163C42—121no—
1164C42—121no—
1165C22×C3—22no—
1166C22×C3—22no—
1167C22×C3—22no—
1168C22×C3—41no—
1169C22×C3—41no—
1170C22×C3—41no—
1171C22×C3—41no—
1172C22×C3—41no—
1173C22×C3—41no—
1174C22×C3—41no—
1175C22×C3—41no—
1176C22×C3—41no—
1177C22×C3—41no—
1178C22×C3—41no—
1179C22×C3C23×D411yescharacteristic
1180C22×C3C2×2−1+411yescharacteristic
1181C22×C3C2×2−1+411yescharacteristic
1182C22×C3C2×2−1+411yescharacteristic
1183C22×C3#58511yescharacteristic
1184C22×C3#58511yescharacteristic
1185C22×C3#58511yescharacteristic
1186C3×C4—22no—
1187C3×C4—22no—
1188C3×C4—22no—
1189C3×C4—22no—
1190C3×C4—22no—
1191C3×C4—41no—
1192C3×C4—41no—
1193C3×C4—41no—
1194C3×C4—41no—
1195C3×C4—41no—
1196C3×C4—41no—
1197C3×C4—41no—
1198C3×C4—41no—
1199Dic3—22no—
1200Dic3—22no—
1201Dic3—22no—
1202Dic3—22no—
1203Dic3—41no—
1204Dic3—41no—
1205Dic3—41no—
1206Dic3—41no—
1207Dic3—41no—
1208Dic3—41no—
1209Dic3—41no—
1210Dic3—41no—
1211Dic3—41no—
1212Dic3—41no—
1213Dic3—41no—
1214Dic3—41no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23#101012yes—
1229C23C24×D311yescharacteristic
1230Q8—124no—
1231Q8—124no—
1232Q8—242no—
1233Q8—242no—
1234D4—82no—
1235C2×C4—28no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—32no—
1271C2×C4—32no—
1272C2×C4—32no—
1273C2×C4—32no—
1274C2×C4—61no—
1275C2×C4—61no—
1276C2×C4—61no—
1277C2×C4—61no—
1278C2×C4—61no—
1279C2×C4—61no—
1280C2×C4—61no—
1281C2×C4—61no—
1282C2×C4—61no—
1283C2×C4—61no—
1284C2×C4—61no—
1285C2×C4—61no—
1286C2×C4—61no—
1287C2×C4—61no—
1288C2×C4—61no—
1289C2×C4—61no—
1290C2×C4—61no—
1291C2×C4—61no—
1292C2×C4—61no—
1293C2×C4—61no—
1294C2×C4—61no—
1295C2×C4—61no—
1296C2×C4—61no—
1297C2×C4—61no—
1298C2×C4—61no—
1299C2×C4—61no—
1300C2×C4—61no—
1301C2×C4—61no—
1302C2×C4—61no—
1303C2×C4—61no—
1304C2×C4—61no—
1305C2×C4—61no—
1306C2×C4—61no—
1307C2×C4—61no—
1308C2×C4—61no—
1309C2×C4—61no—
1310C2×C4—61no—
1311C2×C4—61no—
1312C2×C4—61no—
1313C2×C4—61no—
1314C2×C4—61no—
1315C2×C4—61no—
1316C2×C4—61no—
1317C2×C4—61no—
1318C2×C4—124no—
1319C2×C4—242no—
1320C2×C4—242no—
1321C2×C4C2×D3×D412yes—
1322C2×C4C2×D3×D412yes—
1323C2×C4C2×D3×D412yes—
1324C2×C4#101012yes—
1325C2×C4#101012yes—
1326C2×C3—42no—
1327C2×C3—81no—
1328C2×C3#348511yescharacteristic
1329C2×C3#348611yescharacteristic
1330C2×C3#349711yescharacteristic
1331C2×C3#356311yescharacteristic
1332C2×C3#356311yescharacteristic
1333C2×C3#356411yescharacteristic
1334C2×C3#356511yescharacteristic
1335C22—22no—
1336C22—22no—
1337C22—22no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22C22×D3×D411yescharacteristic
1350C22C2×#101011yescharacteristic
1351C22C2×#101011yescharacteristic
1352C22C2×#101011yescharacteristic
1353C22#596411yescharacteristic
1354C22#596611yescharacteristic
1355C22#596811yescharacteristic
1356C4—22no—
1357C4—22no—
1358C4—22no—
1359C4—22no—
1360C4—22no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—62no—
1370C4—62no—
1371C4—62no—
1372C4—62no—
1373C4—121no—
1374C4—121no—
1375C4—121no—
1376C4—121no—
1377C4—121no—
1378C4—121no—
1379C4—121no—
1380C4—121no—
1381C4—121no—
1382C4—121no—
1383C4—121no—
1384C4—121no—
1385C3#4782211yescharacteristic, complemented, Sylow
1386C2—42no—
1387C2—81no—
1388C2#8602211yescharacteristic
1389C2#8614211yescharacteristic
1390C2#8654211yescharacteristic
1391C2#8670011yescharacteristic
1392C2#8678411yescharacteristic
1393C2#8681111yescharacteristic
1394C2#8685211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2479C2
prime radicalC22×C3×D4C23
hypercenter#2479D3
hypocenterC3#47822
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2479

Complements

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

NH ≅ G/Ntype
1. C2×#5701C2semidirect
2. C2×#5519C2semidirect
4. #83096C2semidirect
5. #82251C2semidirect
6. #78070C2semidirect
7. #78047C2semidirect
8. #78039C2semidirect
9. #78020C2semidirect
10. #77926C2semidirect
11. #77860C2semidirect
16. #76126C2semidirect
17. #76005C2semidirect
18. #75706C2semidirect
19. #75706C2semidirect
20. #75702C2semidirect
21. #75684C2semidirect
22. #75565C2semidirect
23. #75497C2semidirect
24. #75157C2semidirect
25. #74950C2semidirect
28. #74501C2semidirect
29. #74442C2semidirect
30. #73683C2semidirect
31. #73672C2semidirect
337. #888D4semidirect
1385. C3#47822semidirect

Maximal subgroups

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

subgroupindex
C2×#57012
C2×#55192
C3×#24792
#830962
#822512
#780702
#780472
#780392
#780202
#779262
#778602
#770432
#770232
#764012
#763602
#761262
#760052
#757062
#757022
#756842
#755652
#754972
#751572
#749502
#747792
#747372
#745012
#744422
#736832
#736722
#478223