Finite Group Databasebeta

← #11042809

Subgroups — #11042809

Order 768.

2032 conjugacy classes of subgroups.

The subgroup lattice has 1420 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5642C211yesmaximal, characteristic
2C2×#5622C211yesmaximal, characteristic, complemented
3C3×#2440C211yesmaximal, characteristic, complemented
4#83266C211yesmaximal, characteristic, complemented
5#83227C211yesmaximal, characteristic, complemented
6#82781C211yesmaximal, characteristic, complemented
7#82771C211yesmaximal, characteristic
8#82173C211yesmaximal, characteristic
9C2×#4980C211yesmaximal, characteristic, complemented
10#77859C211yesmaximal, characteristic, complemented
11#77857C211yesmaximal, characteristic, complemented
12#77823C211yesmaximal, characteristic, complemented
13#77810C211yesmaximal, characteristic, complemented
14#77218C211yesmaximal, characteristic, complemented
15#77214C211yesmaximal, characteristic, complemented
16#77205C211yesmaximal, characteristic, complemented
17#77191C211yesmaximal, characteristic, complemented
18#76118C211yesmaximal, characteristic, complemented
19#76115C211yesmaximal, characteristic, complemented
20#76097C211yesmaximal, characteristic, complemented
21#75971C211yesmaximal, characteristic, complemented
22#74588C211yesmaximal, characteristic
23#74456C211yesmaximal, characteristic, complemented
24#74423C211yesmaximal, characteristic
25#74414C211yesmaximal, characteristic, complemented
26#74348C211yesmaximal, characteristic, complemented
27#74338C211yesmaximal, characteristic, complemented
28#73926C211yesmaximal, characteristic
29#73897C211yesmaximal, characteristic, complemented
30#73504C211yesmaximal, characteristic
31#73455C211yesmaximal, characteristic, complemented
32#38371—31nomaximal, Sylow
33C2×C3×C4⋊Q8C2211yescharacteristic
34C2×C3×C22⋊Q8C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic
36C22×C3×C4⋊C4C2211yescharacteristic
37C2×#946C2211yescharacteristic
38C2×Q8×Dic3C2211yescharacteristic
39C2×Q8×Dic3C2211yescharacteristic
40C2×#944C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic
42C22×C4⋊Dic3C2211yescharacteristic
43C2×#924C2211yescharacteristic
44C22×C4×Dic3C2211yescharacteristic
45#5642—28no—
46#5622—28no—
47C2×#898C2211yescharacteristic
48C2×#898C2211yescharacteristic
49C2×#896C2211yescharacteristic
50C2×#892C2211yescharacteristic
51C2×#890C2211yescharacteristic
52C2×#890C2211yescharacteristic
53C2×#890C2211yescharacteristic
54C2×#889C2211yescharacteristic
55C2×#889C2211yescharacteristic
56C2×#888C2211yescharacteristic
57C2×#887C2211yescharacteristic
58C2×#887C2211yescharacteristic
59C2×#887C2211yescharacteristic
60C2×#886C2211yescharacteristic
61C2×#886C2211yescharacteristic
62C2×#878C2211yescharacteristic
63C2×#878C2211yescharacteristic
64C2×#877C2211yescharacteristic
65C2×#877C2211yescharacteristic
66C2×#877C2211yescharacteristic
67C3×#398C2211yescharacteristic
68C3×#398C2211yescharacteristic
69C3×#395C2211yescharacteristic
70C3×#395C2211yescharacteristic
71C3×#389C2211yescharacteristic
72C3×#389C2211yescharacteristic
73C3×#385C2211yescharacteristic
74C3×#385C2211yescharacteristic
75C3×#384C2211yescharacteristic
76C3×#380C2211yescharacteristic
77C3×C4×C22⋊C4C2211yescharacteristic
78#5231C2211yescharacteristic
79#5230C2211yescharacteristic
80#5229C2211yescharacteristic
81#5229C2211yescharacteristic
82#5213C2211yescharacteristic
83#5213C2211yescharacteristic
84#5210C2211yescharacteristic
85#5210C2211yescharacteristic
86C2×C3⋊#95C2211yescharacteristic
87C2×C3⋊#95C2211yescharacteristic
88C2×C3⋊#95C2211yescharacteristic
89C2×C3⋊#95C2211yescharacteristic
90#4994C2211yescharacteristic
91#4994C2211yescharacteristic
92#4993C2211yescharacteristic
93#4993C2211yescharacteristic
94#4992C2211yescharacteristic
95#4990C2211yescharacteristic
96#4990C2211yescharacteristic
97#4990C2211yescharacteristic
98#4990C2211yescharacteristic
99#4990C2211yescharacteristic
100#4989C2211yescharacteristic
101#4989C2211yescharacteristic
102#4986C2211yescharacteristic
103#4986C2211yescharacteristic
104#4983C2211yescharacteristic
105#4983C2211yescharacteristic
106#4983C2211yescharacteristic
107#4983C2211yescharacteristic
108#4983C2211yescharacteristic
109#4982C2211yescharacteristic
110#4982C2211yescharacteristic
111#4982C2211yescharacteristic
112#4981C2211yescharacteristic
113#4980C2211yescharacteristic
114#4980C2211yescharacteristic
115#4980C2211yescharacteristic
116#4980C2211yescharacteristic
117#4980C2211yescharacteristic
118#4980C2211yescharacteristic
119#4980C2211yescharacteristic
120#4980C2211yescharacteristic
121#4980C2211yescharacteristic
122#4980C2211yescharacteristic
123#4980C2211yescharacteristic
124#4980C2211yescharacteristic
125#4980C2211yescharacteristic
126#4980C2211yescharacteristic
127#4980C2211yescharacteristic
128#4980C2211yescharacteristic
129#4980C2211yescharacteristic
130#4979C2211yescharacteristic
131#4979C2211yescharacteristic
132#4979C2211yescharacteristic
133#4979C2211yescharacteristic
134#4977C2211yescharacteristic
135#4976C2211yescharacteristic
136#4976C2211yescharacteristic
137#4976C2211yescharacteristic
138#4976C2211yescharacteristic
139#4976C2211yescharacteristic
140#4973C2211yescharacteristic
141#4958C2211yescharacteristic
142#4958C2211yescharacteristic
143#4946C2211yescharacteristic
144#4946C2211yescharacteristic
145#4943C2211yescharacteristic
146#4943C2211yescharacteristic
147#4943C2211yescharacteristic
148#4942C2211yescharacteristic
149Dic3×C22⋊C4C2211yescharacteristic
150#4940C2211yescharacteristic
151#4940C2211yescharacteristic
152#4936C2211yescharacteristic
153#4933C2211yescharacteristic
154#4933C2211yescharacteristic
155#4932C2211yescharacteristic
156C4×Dic3⋊C4C2211yescharacteristic
157#4929C2211yescharacteristic
158#4675C2211yescharacteristic
159#4674C2211yescharacteristic
160#4673C2211yescharacteristic
161#4673C2211yescharacteristic
162#4669C2211yescharacteristic
163#4669C2211yescharacteristic
164#4669C2211yescharacteristic
165#4667C2211yescharacteristic
166#4660C2211yescharacteristic
167#4660C2211yescharacteristic
168#4660C2211yescharacteristic
169#4659C2211yescharacteristic
170#4659C2211yescharacteristic
171#4658C2211yescharacteristic
172#4658C2211yescharacteristic
173#4658C2211yescharacteristic
174#4657C2211yescharacteristic
175#4657C2211yescharacteristic
176#4655C2211yescharacteristic
177#4655C2211yescharacteristic
178#4655C2211yescharacteristic
179#4655C2211yescharacteristic
180#4655C2211yescharacteristic
181#4652C2211yescharacteristic
182#4652C2211yescharacteristic
183#4652C2211yescharacteristic
184#4652C2211yescharacteristic
185#4651C2211yescharacteristic
186#4650C2211yescharacteristic
187#4646C2211yescharacteristic
188#4646C2211yescharacteristic
189#4646C2211yescharacteristic
190C2×#552—31no—
191C2×#533—31no—
192#2853—31no—
193#2721—31no—
194#2719—31no—
195#2719—31no—
196#2716—31no—
197#2713—31no—
198#2713—31no—
199#2690—31no—
200#2677—31no—
201#2637—31no—
202#2634—31no—
203#2604—31no—
204#2599—31no—
205#2581—31no—
206#2565—31no—
207#2549—31no—
208#2498—31no—
209#2488—31no—
210#2488—31no—
211#2484—31no—
212#2450—31no—
213#2449—31no—
214#2440D311yescharacteristic, complemented
215#2438—31no—
216#2438—31no—
217#2343—31no—
218#2327—31no—
219#2323—31no—
220C2×#387—31no—
221C22×C3×Q8C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C23×Dic3C2311yescharacteristic
228C23×Dic3C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C22×C4×D3C2311yescharacteristic
232C22×Dic6C2311yescharacteristic
233C22×Dic6C2311yescharacteristic
234C22×Dic6C2311yescharacteristic
235C3×C4⋊Q8—24no—
236C3×C22⋊Q8—24no—
237C3×C22⋊Q8—24no—
238C2×C3×C4⋊C4—24no—
239C2×C3×C4⋊C4C2311yescharacteristic
240C2×C3×C4⋊C4C2311yescharacteristic
241C2×C3×C4⋊C4C2311yescharacteristic
242C2×C3×C4⋊C4C2311yescharacteristic
243C2×C3×C4⋊C4C2311yescharacteristic
244C2×C3×C4⋊C4C2311yescharacteristic
245C2×C3×C4⋊C4C2311yescharacteristic
246C2×C3×C4⋊C4C2311yescharacteristic
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C22⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C42C2311yescharacteristic
260C2×C3×C42C2311yescharacteristic
261C2×#217C2311yescharacteristic
262C2×#217C2311yescharacteristic
263C2×#217C2311yescharacteristic
264#946—24no—
265Q8×Dic3—24no—
266Q8×Dic3—24no—
267#944—24no—
268C4×#67—24no—
269C2×(C2×D3)⋊C4C2311yescharacteristic
270C2×(C2×D3)⋊C4C2311yescharacteristic
271C2×(C2×D3)⋊C4C2311yescharacteristic
272C2×(C2×D3)⋊C4C2311yescharacteristic
273C2×(C2×D3)⋊C4C2311yescharacteristic
274C2×(C2×D3)⋊C4C2311yescharacteristic
275C2×(C2×D3)⋊C4C2311yescharacteristic
276C2×(C2×D3)⋊C4C2311yescharacteristic
277C2×(C2×D3)⋊C4C2311yescharacteristic
278C2×(C2×D3)⋊C4C2311yescharacteristic
279C2×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×C4⋊Dic3—24no—
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×C4⋊Dic3C2311yescharacteristic
292C2×C4⋊Dic3C2311yescharacteristic
293C2×C4⋊Dic3C2311yescharacteristic
294#924—24no—
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×C4×Dic3—24no—
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
330C2×C4×Dic3C2311yescharacteristic
331C2×C4×Dic3C2311yescharacteristic
332#898—24no—
333#898—24no—
334#896—24no—
335#892—24no—
336#890—24no—
337#890—24no—
338#890—24no—
339#889—24no—
340#889—24no—
341#888—24no—
342#887—24no—
343#887—24no—
344#887—24no—
345#886—24no—
346#886—24no—
347#878—24no—
348#878—24no—
349#877—24no—
350#877—24no—
351#877D418yes—
352C3×#95C2311yescharacteristic
353C3×#95C2311yescharacteristic
354C3×#95C2311yescharacteristic
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
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408#552—68no—
409#533—68no—
410C2×C4⋊Q8—31no—
411C2×C4⋊Q8—31no—
412C2×C4⋊Q8C2×D311yescharacteristic
413C2×#126—31no—
414C2×#126—31no—
415C2×#125—31no—
416C2×#125—31no—
417C2×#125—31no—
418C2×#125—31no—
419C2×#125—31no—
420C2×#123—31no—
421C2×#123—31no—
422C2×C22⋊Q8—31no—
423C2×C22⋊Q8—31no—
424C2×C22⋊Q8—31no—
425C2×C22⋊Q8—31no—
426C2×C22⋊Q8—31no—
427C2×C22⋊Q8C2×D311yescharacteristic
428C2×C22⋊Q8C2×D311yescharacteristic
429C2×C4×Q8—31no—
430C2×C4×Q8—31no—
431C2×C4×Q8—31no—
432C2×C4×Q8—31no—
433C2×C4×Q8—31no—
434C2×C4×D4—31no—
435C2×#117—31no—
436C2×#117—31no—
437C2×#117—31no—
438C2×#117—31no—
439C22×C4⋊C4—31no—
440C22×C4⋊C4C2×D311yescharacteristic
441C22×C42—31no—
442#400—31no—
443#400—31no—
444#400—31no—
445#400—31no—
446#400—31no—
447#400—31no—
448#400—31no—
449#400—31no—
450#400—31no—
451#400—31no—
452#399—31no—
453#399—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#398C2×D311yescharacteristic
466#398C2×D311yescharacteristic
467#397—31no—
468#397—31no—
469#397—31no—
470#396—31no—
471#396—31no—
472#395—31no—
473#395—31no—
474#395—31no—
475#395—31no—
476#395—31no—
477#395C2×D311yescharacteristic
478#395C2×D311yescharacteristic
479#393—31no—
480#393—31no—
481#393—31no—
482#391—31no—
483#391—31no—
484#391—31no—
485#391—31no—
486#391—31no—
487#391—31no—
488#391—31no—
489#389—31no—
490#389—31no—
491#389—31no—
492#389—31no—
493#389—31no—
494#389C2×D311yescharacteristic
495#389C2×D311yescharacteristic
496#388—31no—
497#388—31no—
498#388—31no—
499#388—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#387—31no—
507#387—31no—
508#387—31no—
509#387—31no—
510#387—31no—
511#387—31no—
512#387—31no—
513#387—31no—
514#387—31no—
515#387—31no—
516#387—31no—
517#387—31no—
518#387—31no—
519#387—31no—
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#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385C2×D311yescharacteristic
545#385C2×D311yescharacteristic
546#384C2×D311yescharacteristic
547#383—31no—
548#382—31no—
549#382—31no—
550#382—31no—
551#381—31no—
552#381—31no—
553#381—31no—
554#380—31no—
555#380—31no—
556#380C2×D311yescharacteristic
557C4×C4⋊C4—31no—
558C4×C22⋊C4—31no—
559C4×C22⋊C4C2×D311yescharacteristic
560#376—31no—
561C2×#95—31no—
562C2×#95—31no—
563C2×#95—31no—
564C2×#95—31no—
565C24×C3C2411yescharacteristic
566C23×D3C2411yescharacteristic
567C2×C3×Q8—22no—
568C2×C3×Q8—22no—
569C2×C3×Q8—22no—
570C2×C3×Q8—22no—
571C2×C3×Q8—41no—
572C2×C3×Q8—41no—
573C22×C3×C4—22no—
574C22×C3×C4—22no—
575C22×C3×C4—22no—
576C22×C3×C4—22no—
577C22×C3×C4—22no—
578C22×C3×C4—22no—
579C22×C3×C4—41no—
580C22×C3×C4—41no—
581C22×C3×C4—41no—
582C22×C3×C4C2411yescharacteristic
583C22×C3×C4C2411yescharacteristic
584C22×C3×C4C2411yescharacteristic
585C22×C3×C4C2411yescharacteristic
586C22×C3×C4C2411yescharacteristic
587C22×C3×C4C2411yescharacteristic
588C22×C3×C4C2411yescharacteristic
589C22×C3×C4C2411yescharacteristic
590C22×C3×C4C2411yescharacteristic
591C22×C3×C4C2411yescharacteristic
592C22×C3×C4C2411yescharacteristic
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C2×#67—22no—
597C2×#67—22no—
598C2×#67—22no—
599C22×Dic3—22no—
600C22×Dic3—22no—
601C22×Dic3—22no—
602C22×Dic3—22no—
603C22×Dic3—22no—
604C22×Dic3—22no—
605C22×Dic3—22no—
606C22×Dic3—22no—
607C22×Dic3—41no—
608C22×Dic3—41no—
609C22×Dic3—41no—
610C22×Dic3C2×D414yes—
611C22×Dic3C2411yescharacteristic
612C22×Dic3C2411yescharacteristic
613C22×Dic3C2411yescharacteristic
614C22×Dic3C2411yescharacteristic
615C22×Dic3C2411yescharacteristic
616C22×Dic3C2411yescharacteristic
617C22×Dic3C2411yescharacteristic
618C22×Dic3C2411yescharacteristic
619C22×Dic3C2411yescharacteristic
620C22×Dic3C2411yescharacteristic
621C22×Dic3C2411yescharacteristic
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626C2×C4×D3—22no—
627C2×C4×D3—22no—
628C2×C4×D3—41no—
629C2×Dic6—22no—
630C2×Dic6—22no—
631C2×Dic6—22no—
632C2×Dic6—22no—
633C2×Dic6—22no—
634C2×Dic6—22no—
635C2×Dic6—41no—
636C2×Dic6—41no—
637C2×Dic6—41no—
638C3×C4⋊C4—22no—
639C3×C4⋊C4—22no—
640C3×C4⋊C4—22no—
641C3×C4⋊C4—22no—
642C3×C4⋊C4—22no—
643C3×C4⋊C4—22no—
644C3×C4⋊C4—22no—
645C3×C4⋊C4—22no—
646C3×C4⋊C4—22no—
647C3×C4⋊C4—22no—
648C3×C4⋊C4—22no—
649C3×C4⋊C4—22no—
650C3×C4⋊C4—41no—
651C3×C4⋊C4—41no—
652C3×C4⋊C4—41no—
653C3×C4⋊C4#4114yes—
654C3×C22⋊C4—22no—
655C3×C22⋊C4—22no—
656C3×C22⋊C4—22no—
657C3×C22⋊C4C2×D414yes—
658C3×C42—22no—
659C3×C42—41no—
660#217—22no—
661#217—22no—
662#217C2×D414yes—
663(C2×D3)⋊C4—22no—
664(C2×D3)⋊C4—22no—
665(C2×D3)⋊C4—22no—
666(C2×D3)⋊C4—22no—
667(C2×D3)⋊C4—22no—
668(C2×D3)⋊C4—22no—
669(C2×D3)⋊C4—22no—
670(C2×D3)⋊C4—22no—
671(C2×D3)⋊C4—41no—
672(C2×D3)⋊C4—41no—
673(C2×D3)⋊C4—41no—
674(C2×D3)⋊C4—41no—
675(C2×D3)⋊C4—41no—
676C4⋊Dic3—22no—
677C4⋊Dic3—22no—
678C4⋊Dic3—22no—
679C4⋊Dic3—22no—
680C4⋊Dic3—22no—
681C4⋊Dic3—22no—
682C4⋊Dic3—22no—
683C4⋊Dic3—22no—
684C4⋊Dic3—22no—
685C4⋊Dic3—22no—
686C4⋊Dic3—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—22no—
696Dic3⋊C4—22no—
697Dic3⋊C4—22no—
698Dic3⋊C4—22no—
699Dic3⋊C4—22no—
700Dic3⋊C4—22no—
701Dic3⋊C4—41no—
702Dic3⋊C4—41no—
703Dic3⋊C4—41no—
704Dic3⋊C4—41no—
705Dic3⋊C4—41no—
706Dic3⋊C4—41no—
707Dic3⋊C4—41no—
708Dic3⋊C4C2×D414yes—
709Dic3⋊C4C2×D414yes—
710C4×Dic3—22no—
711C4×Dic3—22no—
712C4×Dic3—22no—
713C4×Dic3—22no—
714C4×Dic3—22no—
715C4×Dic3—22no—
716C4×Dic3—22no—
717C4×Dic3—22no—
718C4×Dic3—22no—
719C4×Dic3—41no—
720C4×Dic3—41no—
721C4×Dic3C2×D414yes—
722C4×Dic3C2×D414yes—
723C22×Q8—31no—
724C22×Q8—31no—
725C22×Q8—31no—
726C22×Q8C22×D311yescharacteristic
727C22×Q8C22×D311yescharacteristic
728C22×D4—31no—
729C23×C4—31no—
730C23×C4—31no—
731C23×C4—31no—
732C23×C4—31no—
733C23×C4—31no—
734C23×C4C22×D311yescharacteristic
735C23×C4C22×D311yescharacteristic
736C23×C4C22×D311yescharacteristic
737C4⋊Q8—24no—
738C4⋊Q8—64no—
739C4⋊Q8—64no—
740#126—64no—
741#126—64no—
742#125—64no—
743#125—64no—
744#125—64no—
745#125—64no—
746#125—64no—
747#123—64no—
748#123—64no—
749C22⋊Q8—24no—
750C22⋊Q8—24no—
751C22⋊Q8—64no—
752C22⋊Q8—64no—
753C22⋊Q8—64no—
754C22⋊Q8—64no—
755C22⋊Q8—64no—
756C4×Q8—64no—
757C4×Q8—64no—
758C4×Q8—64no—
759C4×Q8—64no—
760C4×Q8—64no—
761C4×D4—64no—
762#117—38no—
763#117—64no—
764#117—64no—
765#117—64no—
766C2×C4⋊C4—24no—
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—31no—
801C2×C4⋊C4—64no—
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×C4⋊C4C22×D311yescharacteristic
812C2×C4⋊C4C22×D311yescharacteristic
813C2×C4⋊C4C22×D311yescharacteristic
814C2×C4⋊C4C22×D311yescharacteristic
815C2×C4⋊C4C22×D311yescharacteristic
816C2×C4⋊C4C22×D311yescharacteristic
817C2×C4⋊C4C22×D311yescharacteristic
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⋊C4—31no—
825C2×C22⋊C4—31no—
826C2×C22⋊C4—31no—
827C2×C22⋊C4—31no—
828C2×C22⋊C4—31no—
829C2×C22⋊C4—31no—
830C2×C22⋊C4—31no—
831C2×C22⋊C4—31no—
832C2×C22⋊C4—31no—
833C2×C22⋊C4—31no—
834C2×C22⋊C4C22×D311yescharacteristic
835C2×C22⋊C4C22×D311yescharacteristic
836C2×C22⋊C4C22×D311yescharacteristic
837C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
847C2×C42—31no—
848C2×C42—31no—
849C2×C42—31no—
850C2×C42—31no—
851C2×C42—64no—
852C2×C42C22×D311yescharacteristic
853C2×C42C22×D311yescharacteristic
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#95—31no—
893#95—31no—
894#95—31no—
895#95—31no—
896#95—31no—
897#95—31no—
898#95—31no—
899#95—31no—
900#95—31no—
901#95—31no—
902#95C22×D311yescharacteristic
903#95C22×D311yescharacteristic
904#95C22×D311yescharacteristic
905#95C22×D311yescharacteristic
906#95C22×D311yescharacteristic
907#95C22×D311yescharacteristic
908#95C22×D311yescharacteristic
909#95C22×D311yescharacteristic
910C23×C3—21no—
911C23×C3—21no—
912C23×C3—21no—
913C23×C3—21no—
914C23×C3C22×D412yes—
915C23×C32−1+412yes—
916C23×C32−1+412yes—
917C23×C3C2511yescharacteristic
918C22×D3—21no—
919C22×D3—21no—
920C22×D3—21no—
921C22×D3—21no—
922C22×D3—21no—
923C22×D3—21no—
924C22×D3—21no—
925C3×Q8—44no—
926C3×Q8—44no—
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×C4—21no—
952C2×C3×C4—21no—
953C2×C3×C4—21no—
954C2×C3×C4—21no—
955C2×C3×C4—21no—
956C2×C3×C4—21no—
957C2×C3×C4—21no—
958C2×C3×C4—21no—
959C2×C3×C4—21no—
960C2×C3×C4—21no—
961C2×C3×C4—21no—
962C2×C3×C4—21no—
963C2×C3×C4—21no—
964C2×C3×C4—44no—
965C2×C3×C4—44no—
966C2×C3×C4—44no—
967C2×C3×C4C22×D412yes—
968C2×C3×C4C22×D412yes—
969C2×C3×C4C2×#4112yes—
970C2×C3×C4C2×#4112yes—
971C2×C3×C4C2×#4112yes—
972#67—44no—
973C2×Dic3—28no—
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—21no—
1001C2×Dic3—21no—
1002C2×Dic3—21no—
1003C2×Dic3—21no—
1004C2×Dic3—21no—
1005C2×Dic3—21no—
1006C2×Dic3—21no—
1007C2×Dic3—21no—
1008C2×Dic3—21no—
1009C2×Dic3—21no—
1010C2×Dic3—21no—
1011C2×Dic3—21no—
1012C2×Dic3—21no—
1013C2×Dic3—21no—
1014C2×Dic3—44no—
1015C2×Dic3—44no—
1016C2×Dic3—82no—
1017C2×Dic3C22×D412yes—
1018C2×Dic3C22×D412yes—
1019C2×Dic3C22×D412yes—
1020C2×Dic3C22×D412yes—
1021C2×Dic32−1+412yes—
1022C4×D3—44no—
1023Dic6—44no—
1024Dic6—44no—
1025Dic6—44no—
1026C24—31no—
1027C24C23×D311yescharacteristic
1028C2×Q8—22no—
1029C2×Q8—22no—
1030C2×Q8—22no—
1031C2×Q8—22no—
1032C2×Q8—41no—
1033C2×Q8—41no—
1034C2×Q8—62no—
1035C2×Q8—62no—
1036C2×Q8—62no—
1037C2×Q8—62no—
1038C2×Q8—62no—
1039C2×Q8—62no—
1040C2×Q8—121no—
1041C2×Q8—121no—
1042C2×Q8—121no—
1043C2×D4—62no—
1044C2×D4—62no—
1045C2×D4—62no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—34no—
1053C22×C4—31no—
1054C22×C4—31no—
1055C22×C4—31no—
1056C22×C4—31no—
1057C22×C4—31no—
1058C22×C4—31no—
1059C22×C4—31no—
1060C22×C4—31no—
1061C22×C4—31no—
1062C22×C4—31no—
1063C22×C4—31no—
1064C22×C4—31no—
1065C22×C4—31no—
1066C22×C4—31no—
1067C22×C4—31no—
1068C22×C4—41no—
1069C22×C4—41no—
1070C22×C4—41no—
1071C22×C4—62no—
1072C22×C4—62no—
1073C22×C4—62no—
1074C22×C4—62no—
1075C22×C4—62no—
1076C22×C4—62no—
1077C22×C4—62no—
1078C22×C4—62no—
1079C22×C4—62no—
1080C22×C4—62no—
1081C22×C4—121no—
1082C22×C4—121no—
1083C22×C4—121no—
1084C22×C4—121no—
1085C22×C4C23×D311yescharacteristic
1086C22×C4C23×D311yescharacteristic
1087C22×C4C23×D311yescharacteristic
1088C22×C4C23×D311yescharacteristic
1089C22×C4C23×D311yescharacteristic
1090C22×C4C23×D311yescharacteristic
1091C22×C4C23×D311yescharacteristic
1092C22×C4C23×D311yescharacteristic
1093C22×C4C23×D311yescharacteristic
1094C22×C4C23×D311yescharacteristic
1095C22×C4C23×D311yescharacteristic
1096C22×C4C23×D311yescharacteristic
1097C22×C4C23×D311yescharacteristic
1098C22×C4C23×D311yescharacteristic
1099C4⋊C4—22no—
1100C4⋊C4—22no—
1101C4⋊C4—22no—
1102C4⋊C4—22no—
1103C4⋊C4—22no—
1104C4⋊C4—22no—
1105C4⋊C4—22no—
1106C4⋊C4—22no—
1107C4⋊C4—22no—
1108C4⋊C4—22no—
1109C4⋊C4—22no—
1110C4⋊C4—22no—
1111C4⋊C4—34no—
1112C4⋊C4—34no—
1113C4⋊C4—41no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—62no—
1117C4⋊C4—62no—
1118C4⋊C4—62no—
1119C4⋊C4—62no—
1120C4⋊C4—62no—
1121C4⋊C4—62no—
1122C4⋊C4—62no—
1123C4⋊C4—62no—
1124C4⋊C4—62no—
1125C4⋊C4—62no—
1126C4⋊C4—62no—
1127C4⋊C4—62no—
1128C4⋊C4—62no—
1129C4⋊C4—62no—
1130C4⋊C4—62no—
1131C4⋊C4—62no—
1132C4⋊C4—62no—
1133C4⋊C4—62no—
1134C4⋊C4—62no—
1135C4⋊C4—62no—
1136C4⋊C4—62no—
1137C4⋊C4—62no—
1138C4⋊C4—62no—
1139C4⋊C4—62no—
1140C4⋊C4—62no—
1141C4⋊C4—121no—
1142C4⋊C4—121no—
1143C4⋊C4—121no—
1144C4⋊C4—121no—
1145C4⋊C4—121no—
1146C4⋊C4—121no—
1147C4⋊C4—121no—
1148C4⋊C4#23714yes—
1149C22⋊C4—22no—
1150C22⋊C4—22no—
1151C22⋊C4—22no—
1152C22⋊C4—34no—
1153C22⋊C4—62no—
1154C22⋊C4—62no—
1155C22⋊C4—62no—
1156C22⋊C4—62no—
1157C22⋊C4—62no—
1158C22⋊C4—62no—
1159C22⋊C4—62no—
1160C22⋊C4—62no—
1161C22⋊C4—62no—
1162C22⋊C4—62no—
1163C22⋊C4—121no—
1164C22⋊C4—121no—
1165C22⋊C4—121no—
1166C22⋊C4—121no—
1167C22⋊C4—121no—
1168C22⋊C4D3×D414yes—
1169C42—22no—
1170C42—34no—
1171C42—34no—
1172C42—41no—
1173C42—62no—
1174C42—62no—
1175C42—62no—
1176C42—62no—
1177C42—62no—
1178C42—62no—
1179C42—62no—
1180C42—62no—
1181C42—62no—
1182C42—121no—
1183C42—121no—
1184C22×C3—22no—
1185C22×C3—22no—
1186C22×C3—22no—
1187C22×C3—22no—
1188C22×C3—22no—
1189C22×C3—22no—
1190C22×C3#53614yes—
1191C22×C3C23×D411yescharacteristic
1192C22×C3C22×#4111yescharacteristic
1193C22×C3C2×2−1+411yescharacteristic
1194C22×C3C2×2−1+411yescharacteristic
1195C22×C3C2×2−1+411yescharacteristic
1196C22×C3#58511yescharacteristic
1197C22×C3#58511yescharacteristic
1198C2×D3—41no—
1199C2×D3—41no—
1200C2×D3—41no—
1201C2×D3—41no—
1202C2×D3—41no—
1203C2×D3—41no—
1204C2×D3—41no—
1205C3×C4—22no—
1206C3×C4—22no—
1207C3×C4—22no—
1208C3×C4—22no—
1209C3×C4—22no—
1210C3×C4—41no—
1211C3×C4—41no—
1212C3×C4—41no—
1213C3×C4—41no—
1214C3×C4—41no—
1215C3×C4—41no—
1216C3×C4—41no—
1217C3×C4—41no—
1218C3×C4—41no—
1219Dic3—22no—
1220Dic3—22no—
1221Dic3—22no—
1222Dic3—22no—
1223Dic3—22no—
1224Dic3—41no—
1225Dic3—41no—
1226Dic3—41no—
1227Dic3—41no—
1228Dic3—41no—
1229Dic3—41no—
1230Dic3—41no—
1231Dic3—41no—
1232Dic3—41no—
1233Dic3—41no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—61no—
1239C23—61no—
1240C23—61no—
1241C23—61no—
1242C23—61no—
1243C23—61no—
1244C23—61no—
1245C23C2×D3×D412yes—
1246C23#100712yes—
1247C23#100712yes—
1248C23C24×D311yescharacteristic
1249Q8—44no—
1250Q8—44no—
1251Q8—124no—
1252Q8—124no—
1253Q8—124no—
1254D4—124no—
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—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—32no—
1293C2×C4—32no—
1294C2×C4—32no—
1295C2×C4—32no—
1296C2×C4—32no—
1297C2×C4—44no—
1298C2×C4—44no—
1299C2×C4—44no—
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—68no—
1311C2×C4—61no—
1312C2×C4—61no—
1313C2×C4—61no—
1314C2×C4—61no—
1315C2×C4—61no—
1316C2×C4—61no—
1317C2×C4—61no—
1318C2×C4—61no—
1319C2×C4—61no—
1320C2×C4—61no—
1321C2×C4—61no—
1322C2×C4—61no—
1323C2×C4—61no—
1324C2×C4—61no—
1325C2×C4—61no—
1326C2×C4—61no—
1327C2×C4—61no—
1328C2×C4—61no—
1329C2×C4—61no—
1330C2×C4—61no—
1331C2×C4—61no—
1332C2×C4—61no—
1333C2×C4—61no—
1334C2×C4—61no—
1335C2×C4—61no—
1336C2×C4—61no—
1337C2×C4—61no—
1338C2×C4—61no—
1339C2×C4—61no—
1340C2×C4—61no—
1341C2×C4—124no—
1342C2×C4—124no—
1343C2×C4—124no—
1344C2×C4—242no—
1345C2×C4C2×D3×D412yes—
1346C2×C4C2×D3×D412yes—
1347C2×C4C2×#23712yes—
1348C2×C4C2×#23712yes—
1349C2×C4C2×#23712yes—
1350C2×C3—24no—
1351C2×C3C2×#53611yescharacteristic
1352C2×C3D4×#4111yescharacteristic
1353C2×C3#348911yescharacteristic
1354C2×C3#349511yescharacteristic
1355C2×C3#352311yescharacteristic
1356C2×C3#356311yescharacteristic
1357C2×C3#356411yescharacteristic
1358D3—81no—
1359C22—22no—
1360C22—22no—
1361C22—22no—
1362C22—22no—
1363C22—22no—
1364C22—22no—
1365C22—121no—
1366C22—121no—
1367C22—121no—
1368C22—121no—
1369C22—121no—
1370C22—121no—
1371C22—121no—
1372C22#572414yes—
1373C22C22×D3×D411yescharacteristic
1374C22C22×#23711yescharacteristic
1375C22C2×#100711yescharacteristic
1376C22C2×#100711yescharacteristic
1377C22#596411yescharacteristic
1378C22#596611yescharacteristic
1379C22D3×2−1+411yescharacteristic
1380C4—22no—
1381C4—22no—
1382C4—22no—
1383C4—22no—
1384C4—22no—
1385C4—41no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—41no—
1390C4—41no—
1391C4—41no—
1392C4—41no—
1393C4—41no—
1394C4—62no—
1395C4—62no—
1396C4—62no—
1397C4—62no—
1398C4—62no—
1399C4—121no—
1400C4—121no—
1401C4—121no—
1402C4—121no—
1403C4—121no—
1404C4—121no—
1405C4—121no—
1406C4—121no—
1407C4—121no—
1408C4—121no—
1409C3#3837111yescharacteristic, complemented, Sylow
1410C2—24no—
1411C2—241no—
1412C2#8597011yescharacteristic
1413C2C2×#572411yescharacteristic
1414C2#8659111yescharacteristic
1415C2D4×#23711yescharacteristic
1416C2#8667711yescharacteristic
1417C2#8675211yescharacteristic
1418C2#8694411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2440C2
prime radicalC22×#67C23
hypercenter#2440D3
hypocenterC3#38371
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2440

Complements

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

NH ≅ G/Ntype
2. C2×#5622C2semidirect
3. C3×#2440C2semidirect
4. #83266C2semidirect
5. #83227C2semidirect
6. #82781C2semidirect
9. C2×#4980C2semidirect
10. #77859C2semidirect
11. #77857C2semidirect
12. #77823C2semidirect
13. #77810C2semidirect
14. #77218C2semidirect
15. #77214C2semidirect
16. #77205C2semidirect
17. #77191C2semidirect
18. #76118C2semidirect
19. #76115C2semidirect
20. #76097C2semidirect
21. #75971C2semidirect
23. #74456C2semidirect
25. #74414C2semidirect
26. #74348C2semidirect
27. #74338C2semidirect
29. #73897C2semidirect
31. #73455C2semidirect
214. #2440D3semidirect
1409. C3#38371semidirect

Maximal subgroups

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

subgroupindex
C2×#56422
C2×#56222
C3×#24402
#832662
#832272
#827812
#827712
#821732
C2×#49802
#778592
#778572
#778232
#778102
#772182
#772142
#772052
#771912
#761182
#761152
#760972
#759712
#745882
#744562
#744232
#744142
#743482
#743382
#739262
#738972
#735042
#734552
#383713