Finite Group Databasebeta

← #11042812

Subgroups — #11042812

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×#5581C211yesmaximal, characteristic
2C2×#5578C211yesmaximal, characteristic, complemented
3C3×#2327C211yesmaximal, characteristic, complemented
4#83266C211yesmaximal, characteristic, complemented
5#83233C211yesmaximal, characteristic, complemented
6#82504C211yesmaximal, characteristic, complemented
7#82480C211yesmaximal, characteristic, complemented
8#76637C211yesmaximal, characteristic, complemented
9#76629C211yesmaximal, characteristic
10#76568C211yesmaximal, characteristic, complemented
11#76563C211yesmaximal, characteristic, complemented
12#75447C211yesmaximal, characteristic
13#75339C211yesmaximal, characteristic
14#75335C211yesmaximal, characteristic, complemented
15#75322C211yesmaximal, characteristic
16#75321C211yesmaximal, characteristic
17#75318C211yesmaximal, characteristic, complemented
18#75317C211yesmaximal, characteristic, complemented
19D3×#387C211yesmaximal, characteristic, complemented
20#75170C211yesmaximal, characteristic, complemented
21#75165C211yesmaximal, characteristic, complemented
22#75162C211yesmaximal, characteristic, complemented
23#75156C211yesmaximal, characteristic, complemented
24#75135C211yesmaximal, characteristic, complemented
25#75125C211yesmaximal, characteristic, complemented
26#75076C211yesmaximal, characteristic, complemented
27#74947C211yesmaximal, characteristic, complemented
28#74233C211yesmaximal, characteristic
29#74199C211yesmaximal, characteristic, complemented
30#73416C211yesmaximal, characteristic, complemented
31#73403C211yesmaximal, characteristic, complemented
32#38371—31nomaximal, Sylow
33C2×C3×C4⋊Q8C2211yescharacteristic
34C2×C3×C4×Q8C2211yescharacteristic
35C2×C3×C4×Q8C2211yescharacteristic
36C2×#946C2211yescharacteristic
37C2×#946C2211yescharacteristic
38C2×#946C2211yescharacteristic
39C2×#944C2211yescharacteristic
40#5581—28no—
41#5578—28no—
42C2×#897C2211yescharacteristic
43C2×#896C2211yescharacteristic
44C2×#896C2211yescharacteristic
45C2×#896C2211yescharacteristic
46C2×#894C2211yescharacteristic
47C2×#894C2211yescharacteristic
48C2×#892C2211yescharacteristic
49C2×D3×C4⋊C4C2211yescharacteristic
50C2×D3×C4⋊C4C2211yescharacteristic
51C2×#889C2211yescharacteristic
52C2×#889C2211yescharacteristic
53C2×#889C2211yescharacteristic
54C2×#889C2211yescharacteristic
55C2×#888C2211yescharacteristic
56C2×#876C2211yescharacteristic
57C2×#876C2211yescharacteristic
58C2×C4×D12C2211yescharacteristic
59C2×#872C2211yescharacteristic
60C2×#872C2211yescharacteristic
61C2×#872C2211yescharacteristic
62C2×C42×D3C2211yescharacteristic
63C2×#870C2211yescharacteristic
64C2×C4×Dic6C2211yescharacteristic
65C2×C4×Dic6C2211yescharacteristic
66C2×C4×Dic6C2211yescharacteristic
67C3×#391C2211yescharacteristic
68C3×#391C2211yescharacteristic
69C3×#387C2211yescharacteristic
70C3×#387C2211yescharacteristic
71C3×#387C2211yescharacteristic
72C3×#387C2211yescharacteristic
73C3×#387C2211yescharacteristic
74C3×#387C2211yescharacteristic
75C3×#387C2211yescharacteristic
76C3×#387C2211yescharacteristic
77C3×#382C2211yescharacteristic
78C3×#376C2211yescharacteristic
79#5231C2211yescharacteristic
80#5230C2211yescharacteristic
81#5230C2211yescharacteristic
82#5230C2211yescharacteristic
83#4994C2211yescharacteristic
84#4994C2211yescharacteristic
85#4993C2211yescharacteristic
86#4992C2211yescharacteristic
87#4990C2211yescharacteristic
88#4989C2211yescharacteristic
89#4989C2211yescharacteristic
90#4989C2211yescharacteristic
91#4987C2211yescharacteristic
92#4985C2211yescharacteristic
93#4985C2211yescharacteristic
94#4984C2211yescharacteristic
95#4983C2211yescharacteristic
96#4983C2211yescharacteristic
97#4982C2211yescharacteristic
98#4982C2211yescharacteristic
99#4982C2211yescharacteristic
100#4982C2211yescharacteristic
101#4982C2211yescharacteristic
102#4980C2211yescharacteristic
103#4979C2211yescharacteristic
104#4978C2211yescharacteristic
105#4978C2211yescharacteristic
106#4978C2211yescharacteristic
107#4978C2211yescharacteristic
108#4975C2211yescharacteristic
109#4940C2211yescharacteristic
110#4940C2211yescharacteristic
111#4940C2211yescharacteristic
112#4940C2211yescharacteristic
113C4×(C2×D3)⋊C4C2211yescharacteristic
114C4×(C2×D3)⋊C4C2211yescharacteristic
115#4936C2211yescharacteristic
116#4933C2211yescharacteristic
117#4933C2211yescharacteristic
118#4933C2211yescharacteristic
119#4933C2211yescharacteristic
120#4929C2211yescharacteristic
121#4929C2211yescharacteristic
122#4928C2211yescharacteristic
123#4928C2211yescharacteristic
124#4928C2211yescharacteristic
125#4928C2211yescharacteristic
126#4677C2211yescharacteristic
127#4675C2211yescharacteristic
128#4675C2211yescharacteristic
129#4673C2211yescharacteristic
130#4673C2211yescharacteristic
131#4670C2211yescharacteristic
132#4670C2211yescharacteristic
133#4670C2211yescharacteristic
134#4669C2211yescharacteristic
135#4669C2211yescharacteristic
136#4668C2211yescharacteristic
137#4668C2211yescharacteristic
138#4668C2211yescharacteristic
139#4668C2211yescharacteristic
140#4668C2211yescharacteristic
141#4667C2211yescharacteristic
142#4667C2211yescharacteristic
143#4665C2211yescharacteristic
144#4665C2211yescharacteristic
145#4665C2211yescharacteristic
146#4665C2211yescharacteristic
147#4664C2211yescharacteristic
148#4664C2211yescharacteristic
149#4664C2211yescharacteristic
150D3×#95C2211yescharacteristic
151D3×#95C2211yescharacteristic
152D3×#95C2211yescharacteristic
153D3×#95C2211yescharacteristic
154#4661C2211yescharacteristic
155#4660C2211yescharacteristic
156#4660C2211yescharacteristic
157#4660C2211yescharacteristic
158#4659C2211yescharacteristic
159#4658C2211yescharacteristic
160#4658C2211yescharacteristic
161#4658C2211yescharacteristic
162#4658C2211yescharacteristic
163#4657C2211yescharacteristic
164#4657C2211yescharacteristic
165#4657C2211yescharacteristic
166#4657C2211yescharacteristic
167#4657C2211yescharacteristic
168#4656C2211yescharacteristic
169#4656C2211yescharacteristic
170#4656C2211yescharacteristic
171#4655C2211yescharacteristic
172#4655C2211yescharacteristic
173#4655C2211yescharacteristic
174#4655C2211yescharacteristic
175#4654C2211yescharacteristic
176#4654C2211yescharacteristic
177#4654C2211yescharacteristic
178#4653C2211yescharacteristic
179#4653C2211yescharacteristic
180#4652C2211yescharacteristic
181#4652C2211yescharacteristic
182#4651C2211yescharacteristic
183#4650C2211yescharacteristic
184#4649C2211yescharacteristic
185#4647C2211yescharacteristic
186#4647C2211yescharacteristic
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#2440—31no—
215#2438—31no—
216#2438—31no—
217#2343—31no—
218#2327D311yescharacteristic, complemented
219#2323—31no—
220C2×#387—31no—
221C22×C3×Q8C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×D12C2311yescharacteristic
224C22×C4×D3C2311yescharacteristic
225C22×C4×D3C2311yescharacteristic
226C22×C4×D3C2311yescharacteristic
227C22×C4×D3C2311yescharacteristic
228C22×C4×D3C2311yescharacteristic
229C22×C4×D3C2311yescharacteristic
230C22×C4×D3C2311yescharacteristic
231C22×C4×D3C2311yescharacteristic
232C22×Dic6C2311yescharacteristic
233C22×Dic6C2311yescharacteristic
234C22×Dic6C2311yescharacteristic
235C3×C4⋊Q8—24no—
236C3×C4×Q8—24no—
237C3×C4×Q8—24no—
238C2×C3×C4⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
249C2×C3×C42C2311yescharacteristic
250C2×C3×C42C2311yescharacteristic
251C2×C3×C42C2311yescharacteristic
252C2×C3×C42C2311yescharacteristic
253C2×C3×C42C2311yescharacteristic
254C2×C3×C42C2311yescharacteristic
255#946—24no—
256#946—24no—
257#946—24no—
258#944—24no—
259C2×(C2×D3)⋊C4C2311yescharacteristic
260C2×(C2×D3)⋊C4C2311yescharacteristic
261C2×(C2×D3)⋊C4C2311yescharacteristic
262C2×(C2×D3)⋊C4C2311yescharacteristic
263C2×(C2×D3)⋊C4C2311yescharacteristic
264C2×(C2×D3)⋊C4C2311yescharacteristic
265C2×(C2×D3)⋊C4C2311yescharacteristic
266C2×(C2×D3)⋊C4C2311yescharacteristic
267C2×(C2×D3)⋊C4C2311yescharacteristic
268C2×(C2×D3)⋊C4C2311yescharacteristic
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×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
327#897—24no—
328#896—24no—
329#896—24no—
330#896—24no—
331#894—24no—
332#894—24no—
333#892—24no—
334D3×C4⋊C4—24no—
335D3×C4⋊C4—24no—
336#889—24no—
337#889—24no—
338#889—24no—
339#889—24no—
340#888—24no—
341#876—24no—
342#876—24no—
343C4×D12—24no—
344#872—24no—
345#872—24no—
346#872D418yes—
347C42×D3—24no—
348#870—24no—
349C4×Dic6—24no—
350C4×Dic6—24no—
351C4×Dic6—24no—
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⋊Q8—31no—
428C2×C22⋊Q8—31no—
429C2×C4×Q8—31no—
430C2×C4×Q8—31no—
431C2×C4×Q8—31no—
432C2×C4×Q8C2×D311yescharacteristic
433C2×C4×Q8C2×D311yescharacteristic
434C2×C4×D4—31no—
435C2×#117—31no—
436C2×#117—31no—
437C2×#117—31no—
438C2×#117—31no—
439C22×C4⋊C4—31no—
440C22×C4⋊C4—31no—
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#398—31no—
466#398—31no—
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#395—31no—
478#395—31no—
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#391C2×D311yescharacteristic
488#391C2×D311yescharacteristic
489#389—31no—
490#389—31no—
491#389—31no—
492#389—31no—
493#389—31no—
494#389—31no—
495#389—31no—
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#387C2×D311yescharacteristic
527#387C2×D311yescharacteristic
528#387C2×D311yescharacteristic
529#387C2×D311yescharacteristic
530#387C2×D311yescharacteristic
531#387C2×D311yescharacteristic
532#387C2×D311yescharacteristic
533#387C2×D311yescharacteristic
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#385—31no—
545#385—31no—
546#384—31no—
547#383—31no—
548#382—31no—
549#382—31no—
550#382C2×D311yescharacteristic
551#381—31no—
552#381—31no—
553#381—31no—
554#380—31no—
555#380—31no—
556#380—31no—
557C4×C4⋊C4—31no—
558C4×C22⋊C4—31no—
559C4×C22⋊C4—31no—
560#376C2×D311yescharacteristic
561C2×#95—31no—
562C2×#95—31no—
563C2×#95—31no—
564C2×#95—31no—
565C23×D3C2411yescharacteristic
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×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×C3×C4C2411yescharacteristic
584C22×C3×C4C2411yescharacteristic
585C22×C3×C4C2411yescharacteristic
586C22×C3×C4C2411yescharacteristic
587C22×C3×C4C2411yescharacteristic
588C22×Dic3C2411yescharacteristic
589C22×Dic3C2411yescharacteristic
590C22×Dic3C2411yescharacteristic
591C22×Dic3C2411yescharacteristic
592C22×Dic3C2411yescharacteristic
593C22×Dic3C2411yescharacteristic
594C22×Dic3C2411yescharacteristic
595C22×Dic3C2411yescharacteristic
596C22×Dic3C2411yescharacteristic
597C22×Dic3C2411yescharacteristic
598C22×Dic3C2411yescharacteristic
599C22×Dic3C2411yescharacteristic
600C22×Dic3C2411yescharacteristic
601C22×Dic3C2411yescharacteristic
602C2×D12—22no—
603C2×D12—22no—
604C2×D12—22no—
605C2×C4×D3—22no—
606C2×C4×D3—22no—
607C2×C4×D3—22no—
608C2×C4×D3—22no—
609C2×C4×D3—22no—
610C2×C4×D3—22no—
611C2×C4×D3—22no—
612C2×C4×D3—22no—
613C2×C4×D3—22no—
614C2×C4×D3—22no—
615C2×C4×D3—22no—
616C2×C4×D3—22no—
617C2×C4×D3—22no—
618C2×C4×D3—22no—
619C2×C4×D3—22no—
620C2×C4×D3—22no—
621C2×C4×D3—41no—
622C2×C4×D3—41no—
623C2×C4×D3—41no—
624C2×C4×D3—41no—
625C2×C4×D3—41no—
626C2×C4×D3—41no—
627C2×C4×D3—41no—
628C2×C4×D3C2×D414yes—
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#4114yes—
648C3×C42—22no—
649C3×C42—22no—
650C3×C42—22no—
651C3×C42—22no—
652C3×C42—22no—
653C3×C42—41no—
654C3×C42C2×D414yes—
655(C2×D3)⋊C4—22no—
656(C2×D3)⋊C4—22no—
657(C2×D3)⋊C4—22no—
658(C2×D3)⋊C4—22no—
659(C2×D3)⋊C4—22no—
660(C2×D3)⋊C4—22no—
661(C2×D3)⋊C4—22no—
662(C2×D3)⋊C4—22no—
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—41no—
669(C2×D3)⋊C4—41no—
670(C2×D3)⋊C4—41no—
671(C2×D3)⋊C4—41no—
672(C2×D3)⋊C4—41no—
673(C2×D3)⋊C4C2×D414yes—
674(C2×D3)⋊C4C2×D414yes—
675C4⋊Dic3—22no—
676C4⋊Dic3—22no—
677C4⋊Dic3—22no—
678C4⋊Dic3—22no—
679C4⋊Dic3—22no—
680C4⋊Dic3—22no—
681C4⋊Dic3—22no—
682C4⋊Dic3—22no—
683C4⋊Dic3—41no—
684C4⋊Dic3—41no—
685C4⋊Dic3—41no—
686C4⋊Dic3—41no—
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—22no—
702Dic3⋊C4—22no—
703Dic3⋊C4—22no—
704Dic3⋊C4—22no—
705Dic3⋊C4—22no—
706Dic3⋊C4—22no—
707Dic3⋊C4—41no—
708Dic3⋊C4—41no—
709Dic3⋊C4—41no—
710Dic3⋊C4—41no—
711Dic3⋊C4—41no—
712Dic3⋊C4—41no—
713Dic3⋊C4C2×D414yes—
714Dic3⋊C4C2×D414yes—
715C4×Dic3—22no—
716C4×Dic3—22no—
717C4×Dic3—22no—
718C4×Dic3—22no—
719C4×Dic3—22no—
720C4×Dic3—41no—
721C4×Dic3—41no—
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×C4—31no—
735C23×C4—31no—
736C23×C4—31no—
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—64no—
750C22⋊Q8—64no—
751C22⋊Q8—64no—
752C22⋊Q8—64no—
753C22⋊Q8—64no—
754C22⋊Q8—64no—
755C22⋊Q8—64no—
756C4×Q8—24no—
757C4×Q8—24no—
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—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—31no—
801C2×C4⋊C4—31no—
802C2×C4⋊C4—31no—
803C2×C4⋊C4—31no—
804C2×C4⋊C4—31no—
805C2×C4⋊C4—31no—
806C2×C4⋊C4—64no—
807C2×C4⋊C4—64no—
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⋊C4—31no—
835C2×C22⋊C4—31no—
836C2×C22⋊C4—31no—
837C2×C22⋊C4—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×C42—64no—
847C2×C42C22×D311yescharacteristic
848C2×C42C22×D311yescharacteristic
849C2×C42C22×D311yescharacteristic
850C2×C42C22×D311yescharacteristic
851C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
895#95C22×D311yescharacteristic
896#95C22×D311yescharacteristic
897#95C22×D311yescharacteristic
898#95C22×D311yescharacteristic
899#95C22×D311yescharacteristic
900#95C22×D311yescharacteristic
901#95C22×D311yescharacteristic
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×C3C2511yescharacteristic
911C22×D3—21no—
912C22×D3—21no—
913C22×D3—21no—
914C22×D3—21no—
915C22×D3—21no—
916C22×D3—21no—
917C22×D3—21no—
918C22×D3—21no—
919C22×D3—21no—
920C22×D3—21no—
921C22×D3—21no—
922C22×D3C22×D412yes—
923C22×D32−1+412yes—
924C22×D32−1+412yes—
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—21no—
965C2×C3×C4—21no—
966C2×C3×C4C22×D412yes—
967C2×C3×C4C22×D412yes—
968C2×C3×C4C22×D412yes—
969C2×C3×C4C2×#4112yes—
970C2×C3×C4C2×#4112yes—
971C2×C3×C4C2×#4112yes—
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—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×Dic3C22×D412yes—
1011C2×Dic3C22×D412yes—
1012C2×Dic3C22×D412yes—
1013C2×Dic32−1+412yes—
1014D12—44no—
1015C4×D3—28no—
1016C4×D3—44no—
1017C4×D3—44no—
1018C4×D3—44no—
1019C4×D3—44no—
1020C4×D3—44no—
1021C4×D3—44no—
1022C4×D3—82no—
1023Dic6—44no—
1024Dic6—44no—
1025Dic6—44no—
1026C24—31no—
1027C24—31no—
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—31no—
1047C22×C4—31no—
1048C22×C4—31no—
1049C22×C4—31no—
1050C22×C4—34no—
1051C22×C4—31no—
1052C22×C4—31no—
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—62no—
1062C22×C4—62no—
1063C22×C4—62no—
1064C22×C4—62no—
1065C22×C4—62no—
1066C22×C4—62no—
1067C22×C4—62no—
1068C22×C4—62no—
1069C22×C4—62no—
1070C22×C4—62no—
1071C22×C4—62no—
1072C22×C4—62no—
1073C22×C4—62no—
1074C22×C4—62no—
1075C22×C4—62no—
1076C22×C4—62no—
1077C22×C4—121no—
1078C22×C4—121no—
1079C22×C4—121no—
1080C22×C4—121no—
1081C22×C4—121no—
1082C22×C4—121no—
1083C22×C4—121no—
1084C22×C4C23×D311yescharacteristic
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—34no—
1109C4⋊C4—34no—
1110C4⋊C4—62no—
1111C4⋊C4—62no—
1112C4⋊C4—62no—
1113C4⋊C4—62no—
1114C4⋊C4—62no—
1115C4⋊C4—62no—
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—121no—
1139C4⋊C4—121no—
1140C4⋊C4—121no—
1141C4⋊C4—121no—
1142C4⋊C4—121no—
1143C4⋊C4—121no—
1144C4⋊C4—121no—
1145C4⋊C4—121no—
1146C4⋊C4—121no—
1147C4⋊C4—121no—
1148C4⋊C4#23514yes—
1149C22⋊C4—34no—
1150C22⋊C4—34no—
1151C22⋊C4—62no—
1152C22⋊C4—62no—
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—62no—
1164C22⋊C4—121no—
1165C22⋊C4—121no—
1166C22⋊C4—121no—
1167C22⋊C4—121no—
1168C22⋊C4—121no—
1169C42—22no—
1170C42—22no—
1171C42—22no—
1172C42—22no—
1173C42—22no—
1174C42—34no—
1175C42—41no—
1176C42—62no—
1177C42—62no—
1178C42—62no—
1179C42—62no—
1180C42—62no—
1181C42—121no—
1182C42—121no—
1183C42D3×D414yes—
1184C22×C3C23×D411yescharacteristic
1185C22×C3C22×#4111yescharacteristic
1186C22×C3C2×2−1+411yescharacteristic
1187C22×C3C2×2−1+411yescharacteristic
1188C22×C3C2×2−1+411yescharacteristic
1189C22×C3#58511yescharacteristic
1190C22×C3#58511yescharacteristic
1191C2×D3—22no—
1192C2×D3—22no—
1193C2×D3—22no—
1194C2×D3—22no—
1195C2×D3—22no—
1196C2×D3—22no—
1197C2×D3—41no—
1198C2×D3—41no—
1199C2×D3—41no—
1200C2×D3—41no—
1201C2×D3—41no—
1202C2×D3—41no—
1203C2×D3—41no—
1204C2×D3#53614yes—
1205C3×C4—22no—
1206C3×C4—22no—
1207C3×C4—22no—
1208C3×C4—22no—
1209C3×C4—22no—
1210C3×C4—22no—
1211C3×C4—41no—
1212C3×C4—41no—
1213C3×C4—41no—
1214C3×C4—41no—
1215C3×C4—41no—
1216C3×C4—41no—
1217C3×C4—41no—
1218C3×C4—41no—
1219C3×C4—41no—
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—32no—
1235C23—32no—
1236C23—32no—
1237C23—61no—
1238C23—61no—
1239C23—61no—
1240C23—61no—
1241C23—61no—
1242C23—61no—
1243C23—61no—
1244C23—61no—
1245C23—61no—
1246C23—61no—
1247C23—61no—
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—21no—
1293C2×C4—21no—
1294C2×C4—32no—
1295C2×C4—32no—
1296C2×C4—32no—
1297C2×C4—32no—
1298C2×C4—68no—
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—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—124no—
1338C2×C4—124no—
1339C2×C4—124no—
1340C2×C4—124no—
1341C2×C4—124no—
1342C2×C4—124no—
1343C2×C4—242no—
1344C2×C4C2×#23512yes—
1345C2×C4C2×#23512yes—
1346C2×C4C2×#23512yes—
1347C2×C4C2×D3×D412yes—
1348C2×C4C2×D3×D412yes—
1349C2×C4C2×D3×D412yes—
1350C2×C3C2×#53611yescharacteristic
1351C2×C3D4×#4111yescharacteristic
1352C2×C3#348911yescharacteristic
1353C2×C3#349511yescharacteristic
1354C2×C3#352311yescharacteristic
1355C2×C3#356311yescharacteristic
1356C2×C3#356411yescharacteristic
1357D3—24no—
1358D3—81no—
1359C22—34no—
1360C22—62no—
1361C22—62no—
1362C22—62no—
1363C22—62no—
1364C22—62no—
1365C22—62no—
1366C22—121no—
1367C22—121no—
1368C22—121no—
1369C22—121no—
1370C22—121no—
1371C22—121no—
1372C22—121no—
1373C22C22×#23511yescharacteristic
1374C22C22×D3×D411yescharacteristic
1375C22#596411yescharacteristic
1376C22D3×2−1+411yescharacteristic
1377C22D3×2−1+411yescharacteristic
1378C22D3×2−1+411yescharacteristic
1379C22#596811yescharacteristic
1380C4—22no—
1381C4—22no—
1382C4—22no—
1383C4—22no—
1384C4—22no—
1385C4—22no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—41no—
1390C4—41no—
1391C4—41no—
1392C4—41no—
1393C4—41no—
1394C4—41no—
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—64no—
1411C2—241no—
1412C2D4×#23511yescharacteristic
1413C2#8588211yescharacteristic
1414C2#8588411yescharacteristic
1415C2D3×#53611yescharacteristic
1416C2#8635611yescharacteristic
1417C2#8651911yescharacteristic
1418C2#8652111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2327C2
prime radicalC22×D12C23
hypercenter#2327D3
hypocenterC3#38371
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2327

Complements

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

NH ≅ G/Ntype
2. C2×#5578C2semidirect
3. C3×#2327C2semidirect
4. #83266C2semidirect
5. #83233C2semidirect
6. #82504C2semidirect
7. #82480C2semidirect
8. #76637C2semidirect
10. #76568C2semidirect
11. #76563C2semidirect
14. #75335C2semidirect
17. #75318C2semidirect
18. #75317C2semidirect
19. D3×#387C2semidirect
20. #75170C2semidirect
21. #75165C2semidirect
22. #75162C2semidirect
23. #75156C2semidirect
24. #75135C2semidirect
25. #75125C2semidirect
26. #75076C2semidirect
27. #74947C2semidirect
29. #74199C2semidirect
30. #73416C2semidirect
31. #73403C2semidirect
218. #2327D3semidirect
1409. C3#38371semidirect

Maximal subgroups

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

subgroupindex
C2×#55812
C2×#55782
C3×#23272
#832662
#832332
#825042
#824802
#766372
#766292
#765682
#765632
#754472
#753392
#753352
#753222
#753212
#753182
#753172
D3×#3872
#751702
#751652
#751622
#751562
#751352
#751252
#750762
#749472
#742332
#741992
#734162
#734032
#383713