Finite Group Databasebeta

← #11098277

Subgroups — #11098277

Order 768.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1484 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5692C211yesmaximal, characteristic
2C2×#5690C211yesmaximal, characteristic, complemented
3C3×#2719C211yesmaximal, characteristic, complemented
4#83068C211yesmaximal, characteristic, complemented
5#83048C211yesmaximal, characteristic, complemented
6#78364C211yesmaximal, characteristic, complemented
7#78360C211yesmaximal, characteristic, complemented
8#78360C211yesmaximal, characteristic, complemented
9#78347C211yesmaximal, characteristic, complemented
10#78343C211yesmaximal, characteristic
11#78318C211yesmaximal, characteristic, complemented
12#78006C211yesmaximal, characteristic, complemented
13#77969C211yesmaximal, characteristic, complemented
14#77958C211yesmaximal, characteristic, complemented
15#77947C211yesmaximal, characteristic, complemented
16D3×#398C211yesmaximal, characteristic, complemented
17#77840C211yesmaximal, characteristic, complemented
18#76262C211yesmaximal, characteristic, complemented
19#76212C211yesmaximal, characteristic, complemented
20#76208C211yesmaximal, characteristic, complemented
21#75998C211yesmaximal, characteristic, complemented
22#75395C211yesmaximal, characteristic, complemented
23#75390C211yesmaximal, characteristic, complemented
24#75378C211yesmaximal, characteristic, complemented
25#75370C211yesmaximal, characteristic, complemented
26#75319C211yesmaximal, characteristic
27#75316C211yesmaximal, characteristic, complemented
28#75305C211yesmaximal, characteristic, complemented
29#75076C211yesmaximal, characteristic, complemented
30#74233C211yesmaximal, characteristic, complemented
31#74193C211yesmaximal, characteristic, complemented
32#40516—31nomaximal, Sylow
33C2×C3×#125C2211yescharacteristic
34C2×C3×#125C2211yescharacteristic
35#5692—28no—
36#5690—28no—
37C2×#898C2211yescharacteristic
38C2×#897C2211yescharacteristic
39C2×#897C2211yescharacteristic
40C2×#897C2211yescharacteristic
41C2×#897C2211yescharacteristic
42C2×#896C2211yescharacteristic
43C2×#896C2211yescharacteristic
44C2×#896C2211yescharacteristic
45C2×#896C2211yescharacteristic
46C2×#896C2211yescharacteristic
47C2×#896C2211yescharacteristic
48C2×#895C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#894C2211yescharacteristic
51C2×#894C2211yescharacteristic
52C2×#894C2211yescharacteristic
53C2×#894C2211yescharacteristic
54C2×#893C2211yescharacteristic
55C2×#893C2211yescharacteristic
56C2×D3×C4⋊C4C2211yescharacteristic
57C2×D3×C4⋊C4C2211yescharacteristic
58C2×D3×C4⋊C4C2211yescharacteristic
59C2×D3×C4⋊C4C2211yescharacteristic
60C2×D3×C4⋊C4C2211yescharacteristic
61C2×#890C2211yescharacteristic
62C2×#889C2211yescharacteristic
63C2×#888C2211yescharacteristic
64C2×#876C2211yescharacteristic
65C2×C4×D12C2211yescharacteristic
66C2×C4×D12C2211yescharacteristic
67C2×#872C2211yescharacteristic
68C2×#869C2211yescharacteristic
69C2×C4×Dic6C2211yescharacteristic
70C3×#400C2211yescharacteristic
71C3×#400C2211yescharacteristic
72C3×#400C2211yescharacteristic
73C3×#398C2211yescharacteristic
74C3×#398C2211yescharacteristic
75C3×#398C2211yescharacteristic
76C3×#389C2211yescharacteristic
77C3×#389C2211yescharacteristic
78C3×#387C2211yescharacteristic
79C3×#387C2211yescharacteristic
80C3×#387C2211yescharacteristic
81C3×#387C2211yescharacteristic
82C3×#382C2211yescharacteristic
83#4994C2211yescharacteristic
84#4994C2211yescharacteristic
85#4994C2211yescharacteristic
86#4992C2211yescharacteristic
87#4992C2211yescharacteristic
88#4992C2211yescharacteristic
89#4992C2211yescharacteristic
90#4990C2211yescharacteristic
91#4990C2211yescharacteristic
92#4989C2211yescharacteristic
93#4989C2211yescharacteristic
94#4989C2211yescharacteristic
95#4987C2211yescharacteristic
96#4987C2211yescharacteristic
97#4987C2211yescharacteristic
98#4986C2211yescharacteristic
99#4985C2211yescharacteristic
100#4985C2211yescharacteristic
101#4985C2211yescharacteristic
102#4983C2211yescharacteristic
103#4982C2211yescharacteristic
104#4982C2211yescharacteristic
105#4981C2211yescharacteristic
106#4981C2211yescharacteristic
107#4980C2211yescharacteristic
108#4979C2211yescharacteristic
109#4979C2211yescharacteristic
110#4979C2211yescharacteristic
111#4979C2211yescharacteristic
112#4978C2211yescharacteristic
113#4978C2211yescharacteristic
114#4976C2211yescharacteristic
115#4975C2211yescharacteristic
116#4973C2211yescharacteristic
117#4973C2211yescharacteristic
118#4972C2211yescharacteristic
119#4972C2211yescharacteristic
120#4940C2211yescharacteristic
121#4940C2211yescharacteristic
122C4×(C2×D3)⋊C4C2211yescharacteristic
123#4933C2211yescharacteristic
124#4933C2211yescharacteristic
125#4929C2211yescharacteristic
126#4677C2211yescharacteristic
127#4676C2211yescharacteristic
128#4675C2211yescharacteristic
129#4674C2211yescharacteristic
130#4674C2211yescharacteristic
131#4674C2211yescharacteristic
132#4674C2211yescharacteristic
133#4673C2211yescharacteristic
134#4673C2211yescharacteristic
135#4672C2211yescharacteristic
136#4672C2211yescharacteristic
137#4670C2211yescharacteristic
138#4670C2211yescharacteristic
139#4669C2211yescharacteristic
140#4669C2211yescharacteristic
141#4668C2211yescharacteristic
142#4668C2211yescharacteristic
143#4668C2211yescharacteristic
144#4668C2211yescharacteristic
145#4668C2211yescharacteristic
146#4668C2211yescharacteristic
147#4667C2211yescharacteristic
148#4667C2211yescharacteristic
149#4666C2211yescharacteristic
150#4665C2211yescharacteristic
151#4665C2211yescharacteristic
152#4665C2211yescharacteristic
153#4665C2211yescharacteristic
154#4665C2211yescharacteristic
155#4665C2211yescharacteristic
156#4665C2211yescharacteristic
157#4664C2211yescharacteristic
158#4664C2211yescharacteristic
159#4664C2211yescharacteristic
160#4664C2211yescharacteristic
161#4664C2211yescharacteristic
162D3×#95C2211yescharacteristic
163D3×#95C2211yescharacteristic
164D3×#95C2211yescharacteristic
165#4661C2211yescharacteristic
166#4661C2211yescharacteristic
167#4661C2211yescharacteristic
168#4661C2211yescharacteristic
169#4661C2211yescharacteristic
170#4661C2211yescharacteristic
171#4661C2211yescharacteristic
172#4658C2211yescharacteristic
173#4658C2211yescharacteristic
174#4657C2211yescharacteristic
175#4657C2211yescharacteristic
176#4657C2211yescharacteristic
177#4657C2211yescharacteristic
178#4657C2211yescharacteristic
179#4657C2211yescharacteristic
180#4657C2211yescharacteristic
181#4657C2211yescharacteristic
182#4656C2211yescharacteristic
183#4656C2211yescharacteristic
184#4653C2211yescharacteristic
185#4650C2211yescharacteristic
186#4650C2211yescharacteristic
187#4649C2211yescharacteristic
188#4646C2211yescharacteristic
189#4646C2211yescharacteristic
190C2×#554—31no—
191C2×#539—31no—
192#2822—31no—
193#2814—31no—
194#2719D311yescharacteristic, complemented
195#2713—31no—
196#2698—31no—
197#2690—31no—
198#2689—31no—
199#2687—31no—
200#2680—31no—
201#2677—31no—
202#2664—31no—
203#2637—31no—
204#2627—31no—
205#2627—31no—
206#2621—31no—
207#2579—31no—
208#2565—31no—
209#2549—31no—
210#2488—31no—
211#2488—31no—
212#2444—31no—
213#2443—31no—
214#2440—31no—
215#2419—31no—
216#2419—31no—
217#2417—31no—
218#2413—31no—
219C2×#398—31no—
220#2352—31no—
221C22×D12C2311yescharacteristic
222C22×D12C2311yescharacteristic
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×C4×D3C2311yescharacteristic
233C22×C4×D3C2311yescharacteristic
234C22×C4×D3C2311yescharacteristic
235C22×Dic6C2311yescharacteristic
236C22×Dic6C2311yescharacteristic
237C22×Dic6C2311yescharacteristic
238C22×Dic6C2311yescharacteristic
239C3×#125—24no—
240C3×#125—24no—
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×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C42C2311yescharacteristic
258C2×C3×C42C2311yescharacteristic
259C2×C3×C42C2311yescharacteristic
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×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×C4⋊Dic3C2311yescharacteristic
289C2×C4⋊Dic3C2311yescharacteristic
290C2×C4⋊Dic3C2311yescharacteristic
291C2×C4⋊Dic3C2311yescharacteristic
292C2×C4⋊Dic3C2311yescharacteristic
293C2×C4⋊Dic3C2311yescharacteristic
294C2×C4⋊Dic3C2311yescharacteristic
295C2×C4⋊Dic3C2311yescharacteristic
296C2×C4⋊Dic3C2311yescharacteristic
297C2×C4⋊Dic3C2311yescharacteristic
298C2×C4⋊Dic3C2311yescharacteristic
299C2×C4⋊Dic3C2311yescharacteristic
300C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
320C2×Dic3⋊C4C2311yescharacteristic
321C2×Dic3⋊C4C2311yescharacteristic
322C2×Dic3⋊C4C2311yescharacteristic
323C2×C4×Dic3C2311yescharacteristic
324C2×C4×Dic3C2311yescharacteristic
325C2×C4×Dic3C2311yescharacteristic
326C2×C4×Dic3C2311yescharacteristic
327C2×C4×Dic3C2311yescharacteristic
328#898—24no—
329#897—24no—
330#897—24no—
331#897—24no—
332#897—42no—
333#896—24no—
334#896—24no—
335#896—24no—
336#896—24no—
337#896—24no—
338#896—24no—
339#895—24no—
340#894—24no—
341#894—24no—
342#894—24no—
343#894—24no—
344#894—42no—
345#893—24no—
346#893D418yes—
347D3×C4⋊C4—24no—
348D3×C4⋊C4—24no—
349D3×C4⋊C4—24no—
350D3×C4⋊C4—42no—
351D3×C4⋊C4—42no—
352#890—24no—
353#889—24no—
354#888—24no—
355#876—24no—
356C4×D12—24no—
357C4×D12—24no—
358#872—42no—
359#869—42no—
360C4×Dic6—24no—
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
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411#554—68no—
412#539—68no—
413C2×C4⋊Q8—31no—
414C2×C4⋊Q8—31no—
415C2×#126—31no—
416C2×#126—31no—
417C2×#125—31no—
418C2×#125—31no—
419C2×#125C2×D311yescharacteristic
420C2×#125C2×D311yescharacteristic
421C2×#123—31no—
422C2×#123—31no—
423C2×#123—31no—
424C2×#123—31no—
425C2×#123—31no—
426C2×C22⋊Q8—31no—
427C2×C22⋊Q8—31no—
428C2×C22⋊Q8—31no—
429C2×C22⋊Q8—31no—
430C2×C22⋊Q8—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×#121—31no—
437C2×C4×Q8—31no—
438C2×C4×D4—31no—
439C2×C4×D4—31no—
440C2×C4×D4—31no—
441C2×C4×D4—31no—
442C2×#117—31no—
443C22×C4⋊C4—31no—
444C22×C4⋊C4—31no—
445C22×C4⋊C4—31no—
446C22×C4⋊C4—31no—
447C22×C4⋊C4—31no—
448#400—31no—
449#400—31no—
450#400—31no—
451#400—31no—
452#400—31no—
453#400—31no—
454#400C2×D311yescharacteristic
455#400C2×D311yescharacteristic
456#400C2×D311yescharacteristic
457#399—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#398—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#398C2×D311yescharacteristic
479#398C2×D311yescharacteristic
480#398C2×D311yescharacteristic
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#397—31no—
489#397—31no—
490#396—31no—
491#396—31no—
492#396—31no—
493#396—31no—
494#395—31no—
495#395—31no—
496#395—31no—
497#395—31no—
498#395—31no—
499#395—31no—
500#394—31no—
501#394—31no—
502#393—31no—
503#393—31no—
504#391—31no—
505#391—31no—
506#391—31no—
507#391—31no—
508#391—31no—
509#389—31no—
510#389—31no—
511#389—31no—
512#389C2×D311yescharacteristic
513#389C2×D311yescharacteristic
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#387C2×D311yescharacteristic
529#387C2×D311yescharacteristic
530#387C2×D311yescharacteristic
531#387C2×D311yescharacteristic
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#384—31no—
549#382—31no—
550#382—31no—
551#382C2×D311yescharacteristic
552#381—31no—
553#381—31no—
554#381—31no—
555#381—31no—
556#381—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562C4×C4⋊C4—31no—
563C4×C22⋊C4—31no—
564C4×C22⋊C4—31no—
565C2×#95—31no—
566C2×#95—31no—
567C2×#95—31no—
568C23×D3C2411yescharacteristic
569C23×D3C2411yescharacteristic
570C23×D3C2411yescharacteristic
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×C3×C4C2411yescharacteristic
584C22×C3×C4C2411yescharacteristic
585C22×C3×C4C2411yescharacteristic
586C22×Dic3C2411yescharacteristic
587C22×Dic3C2411yescharacteristic
588C22×Dic3C2411yescharacteristic
589C22×Dic3C2411yescharacteristic
590C22×Dic3C2411yescharacteristic
591C22×Dic3C2411yescharacteristic
592C22×Dic3C2411yescharacteristic
593C22×Dic3C2411yescharacteristic
594C22×Dic3C2411yescharacteristic
595C22×Dic3C2411yescharacteristic
596C22×Dic3C2411yescharacteristic
597C22×Dic3C2411yescharacteristic
598C22×Dic3C2411yescharacteristic
599C2×D12—22no—
600C2×D12—22no—
601C2×D12—22no—
602C2×D12—22no—
603C2×D12—22no—
604C2×D12—22no—
605C2×D12—41no—
606C2×D12—41no—
607C2×D12C2×D414yes—
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—22no—
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×D3—41no—
629C2×C4×D3—41no—
630C2×C4×D3—41no—
631C2×C4×D3—41no—
632C2×C4×D3—41no—
633C2×C4×D3—41no—
634C2×C4×D3—41no—
635C2×C4×D3—41no—
636C2×C4×D3—41no—
637C2×C4×D3—41no—
638C2×C4×D3—41no—
639C2×C4×D3C2×D414yes—
640C2×C4×D3C2×D414yes—
641C2×Dic6—22no—
642C2×Dic6—22no—
643C2×Dic6—22no—
644C2×Dic6—22no—
645C2×Dic6—22no—
646C2×Dic6—41no—
647C2×Dic6—41no—
648C2×Dic6—41no—
649C2×Dic6—41no—
650C2×Dic6—41no—
651C2×Dic6—41no—
652C2×Dic6—41no—
653C3×C4⋊C4—22no—
654C3×C4⋊C4—22no—
655C3×C4⋊C4—22no—
656C3×C4⋊C4—22no—
657C3×C4⋊C4—22no—
658C3×C4⋊C4—22no—
659C3×C4⋊C4—22no—
660C3×C4⋊C4—22no—
661C3×C4⋊C4—22no—
662C3×C4⋊C4—22no—
663C3×C4⋊C4—22no—
664C3×C4⋊C4—22no—
665C3×C4⋊C4—41no—
666C3×C4⋊C4—41no—
667C3×C4⋊C4—41no—
668C3×C4⋊C4C2×D414yes—
669C3×C42—22no—
670C3×C42—22no—
671C3×C42—22no—
672(C2×D3)⋊C4—22no—
673(C2×D3)⋊C4—22no—
674(C2×D3)⋊C4—22no—
675(C2×D3)⋊C4—22no—
676(C2×D3)⋊C4—22no—
677(C2×D3)⋊C4—22no—
678(C2×D3)⋊C4—22no—
679(C2×D3)⋊C4—22no—
680(C2×D3)⋊C4—22no—
681(C2×D3)⋊C4—22no—
682(C2×D3)⋊C4—22no—
683(C2×D3)⋊C4—22no—
684(C2×D3)⋊C4—22no—
685(C2×D3)⋊C4—22no—
686(C2×D3)⋊C4—22no—
687(C2×D3)⋊C4—22no—
688(C2×D3)⋊C4—22no—
689(C2×D3)⋊C4—41no—
690(C2×D3)⋊C4—41no—
691(C2×D3)⋊C4—41no—
692(C2×D3)⋊C4—41no—
693(C2×D3)⋊C4—41no—
694(C2×D3)⋊C4—41no—
695(C2×D3)⋊C4—41no—
696(C2×D3)⋊C4—41no—
697(C2×D3)⋊C4—41no—
698(C2×D3)⋊C4C2×D414yes—
699(C2×D3)⋊C4C2×D414yes—
700C4⋊Dic3—22no—
701C4⋊Dic3—22no—
702C4⋊Dic3—22no—
703C4⋊Dic3—22no—
704C4⋊Dic3—22no—
705C4⋊Dic3—22no—
706C4⋊Dic3—22no—
707C4⋊Dic3—22no—
708C4⋊Dic3—41no—
709C4⋊Dic3—41no—
710C4⋊Dic3—41no—
711C4⋊Dic3—41no—
712C4⋊Dic3—41no—
713Dic3⋊C4—22no—
714Dic3⋊C4—22no—
715Dic3⋊C4—22no—
716Dic3⋊C4—22no—
717Dic3⋊C4—22no—
718Dic3⋊C4—22no—
719Dic3⋊C4—22no—
720Dic3⋊C4—22no—
721Dic3⋊C4—22no—
722Dic3⋊C4—22no—
723Dic3⋊C4—22no—
724Dic3⋊C4—22no—
725Dic3⋊C4—22no—
726Dic3⋊C4—22no—
727Dic3⋊C4—41no—
728Dic3⋊C4—41no—
729Dic3⋊C4—41no—
730Dic3⋊C4—41no—
731Dic3⋊C4—41no—
732Dic3⋊C4—41no—
733Dic3⋊C4—41no—
734Dic3⋊C4—41no—
735C4×Dic3—22no—
736C4×Dic3—41no—
737C4×Dic3—41no—
738C4×Dic3—41no—
739C4×Dic3C2×D414yes—
740C22×Q8—31no—
741C22×Q8—31no—
742C22×Q8—31no—
743C22×Q8—31no—
744C22×D4—31no—
745C22×D4—31no—
746C22×D4—31no—
747C23×C4—31no—
748C23×C4—31no—
749C23×C4—31no—
750C23×C4—31no—
751C23×C4—31no—
752C23×C4—31no—
753C23×C4—31no—
754C23×C4—31no—
755C23×C4—31no—
756C23×C4—31no—
757C23×C4—31no—
758C4⋊Q8—64no—
759C4⋊Q8—122no—
760#126—64no—
761#126—64no—
762#125—24no—
763#125—24no—
764#125—64no—
765#125—64no—
766#123—64no—
767#123—64no—
768#123—64no—
769#123—64no—
770#123—122no—
771C22⋊Q8—64no—
772C22⋊Q8—64no—
773C22⋊Q8—64no—
774C22⋊Q8—64no—
775C22⋊Q8—64no—
776C22⋊Q8—64no—
777C22⋊Q8—64no—
778C22⋊Q8—64no—
779C22⋊Q8—64no—
780C22⋊Q8—122no—
781#121—64no—
782C4×Q8—64no—
783C4×D4—38no—
784C4×D4—64no—
785C4×D4—64no—
786C4×D4—64no—
787#117—122no—
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—31no—
807C2×C4⋊C4—31no—
808C2×C4⋊C4—31no—
809C2×C4⋊C4—31no—
810C2×C4⋊C4—31no—
811C2×C4⋊C4—31no—
812C2×C4⋊C4—31no—
813C2×C4⋊C4—31no—
814C2×C4⋊C4—31no—
815C2×C4⋊C4—31no—
816C2×C4⋊C4—31no—
817C2×C4⋊C4—31no—
818C2×C4⋊C4—31no—
819C2×C4⋊C4—31no—
820C2×C4⋊C4—31no—
821C2×C4⋊C4—31no—
822C2×C4⋊C4—31no—
823C2×C4⋊C4—64no—
824C2×C4⋊C4—64no—
825C2×C4⋊C4—64no—
826C2×C4⋊C4—122no—
827C2×C4⋊C4—122no—
828C2×C4⋊C4C22×D311yescharacteristic
829C2×C4⋊C4C22×D311yescharacteristic
830C2×C4⋊C4C22×D311yescharacteristic
831C2×C4⋊C4C22×D311yescharacteristic
832C2×C4⋊C4C22×D311yescharacteristic
833C2×C4⋊C4C22×D311yescharacteristic
834C2×C4⋊C4C22×D311yescharacteristic
835C2×C4⋊C4C22×D311yescharacteristic
836C2×C4⋊C4C22×D311yescharacteristic
837C2×C4⋊C4C22×D311yescharacteristic
838C2×C4⋊C4C22×D311yescharacteristic
839C2×C4⋊C4C22×D311yescharacteristic
840C2×C4⋊C4C22×D311yescharacteristic
841C2×C4⋊C4C22×D311yescharacteristic
842C2×C4⋊C4C22×D311yescharacteristic
843C2×C4⋊C4C22×D311yescharacteristic
844C2×C22⋊C4—31no—
845C2×C22⋊C4—31no—
846C2×C22⋊C4—31no—
847C2×C22⋊C4—31no—
848C2×C22⋊C4—31no—
849C2×C22⋊C4—31no—
850C2×C22⋊C4—31no—
851C2×C22⋊C4—31no—
852C2×C22⋊C4—31no—
853C2×C22⋊C4—31no—
854C2×C22⋊C4—31no—
855C2×C22⋊C4—31no—
856C2×C22⋊C4—31no—
857C2×C22⋊C4—31no—
858C2×C22⋊C4—31no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—31no—
862C2×C22⋊C4—31no—
863C2×C22⋊C4—31no—
864C2×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C42—31no—
873C2×C42—31no—
874C2×C42—31no—
875C2×C42—31no—
876C2×C42—31no—
877C2×C42C22×D311yescharacteristic
878C2×C42C22×D311yescharacteristic
879C2×C42C22×D311yescharacteristic
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#95—31no—
903#95—31no—
904#95—31no—
905#95—31no—
906#95—31no—
907#95—31no—
908#95—31no—
909#95—31no—
910#95—31no—
911#95—31no—
912#95—31no—
913#95—31no—
914#95C22×D311yescharacteristic
915#95C22×D311yescharacteristic
916#95C22×D311yescharacteristic
917#95C22×D311yescharacteristic
918#95C22×D311yescharacteristic
919#95C22×D311yescharacteristic
920#95C22×D311yescharacteristic
921#95C22×D311yescharacteristic
922#95C22×D311yescharacteristic
923#95C22×D311yescharacteristic
924#95C22×D311yescharacteristic
925#95C22×D311yescharacteristic
926#95C22×D311yescharacteristic
927#95C22×D311yescharacteristic
928#95C22×D311yescharacteristic
929#95C22×D311yescharacteristic
930C23×C3C2511yescharacteristic
931C22×D3—21no—
932C22×D3—21no—
933C22×D3—21no—
934C22×D3—21no—
935C22×D3—21no—
936C22×D3—21no—
937C22×D3—21no—
938C22×D3—21no—
939C22×D3—21no—
940C22×D3—21no—
941C22×D3—21no—
942C22×D3—21no—
943C22×D3—21no—
944C22×D3—21no—
945C22×D3—21no—
946C22×D3—21no—
947C22×D3—21no—
948C22×D3C22×D412yes—
949C22×D3C22×D412yes—
950C22×D32−1+412yes—
951C22×D32−1+412yes—
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×C4—21no—
967C2×C3×C4—21no—
968C2×C3×C4—21no—
969C2×C3×C4—21no—
970C2×C3×C4—21no—
971C2×C3×C4—21no—
972C2×C3×C4—21no—
973C2×C3×C4—21no—
974C2×C3×C4—21no—
975C2×C3×C4—21no—
976C2×C3×C4—21no—
977C2×C3×C4—21no—
978C2×C3×C4—21no—
979C2×C3×C4—21no—
980C2×C3×C4—21no—
981C2×C3×C4—21no—
982C2×C3×C4—21no—
983C2×C3×C4—21no—
984C2×C3×C4—21no—
985C2×C3×C4—21no—
986C2×C3×C4—21no—
987C2×C3×C4—21no—
988C2×C3×C4—21no—
989C2×C3×C4—21no—
990C2×C3×C4—21no—
991C2×C3×C4—21no—
992C2×C3×C4—21no—
993C2×C3×C4C22×D412yes—
994C2×C3×C4C22×D412yes—
995C2×C3×C4C22×D412yes—
996C2×C3×C4H(5,𝔽2)12yes—
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—21no—
1015C2×Dic3—21no—
1016C2×Dic3—21no—
1017C2×Dic3—21no—
1018C2×Dic3—21no—
1019C2×Dic3—21no—
1020C2×Dic3—21no—
1021C2×Dic3—21no—
1022C2×Dic3—21no—
1023C2×Dic3—21no—
1024C2×Dic3—21no—
1025C2×Dic3—21no—
1026C2×Dic3—21no—
1027C2×Dic3—21no—
1028C2×Dic3—21no—
1029C2×Dic3—21no—
1030C2×Dic3—21no—
1031C2×Dic3—21no—
1032C2×Dic3—21no—
1033C2×Dic3C22×D412yes—
1034C2×Dic3C22×D412yes—
1035C2×Dic32−1+412yes—
1036D12—28no—
1037D12—44no—
1038D12—82no—
1039C4×D3—44no—
1040C4×D3—44no—
1041C4×D3—44no—
1042C4×D3—44no—
1043C4×D3—44no—
1044C4×D3—44no—
1045C4×D3—82no—
1046C4×D3—82no—
1047C4×D3—82no—
1048C4×D3—82no—
1049C4×D3—82no—
1050Dic6—44no—
1051Dic6—82no—
1052Dic6—82no—
1053Dic6—82no—
1054C24—31no—
1055C24—31no—
1056C24—31no—
1057C2×Q8—62no—
1058C2×Q8—62no—
1059C2×Q8—62no—
1060C2×Q8—62no—
1061C2×Q8—62no—
1062C2×Q8—121no—
1063C2×Q8—121no—
1064C2×Q8—121no—
1065C2×Q8—121no—
1066C2×Q8—121no—
1067C2×Q8—121no—
1068C2×Q8—121no—
1069C2×D4—34no—
1070C2×D4—62no—
1071C2×D4—62no—
1072C2×D4—62no—
1073C2×D4—62no—
1074C2×D4—62no—
1075C2×D4—62no—
1076C2×D4—121no—
1077C2×D4—121no—
1078C22×C4—31no—
1079C22×C4—31no—
1080C22×C4—31no—
1081C22×C4—34no—
1082C22×C4—34no—
1083C22×C4—31no—
1084C22×C4—31no—
1085C22×C4—31no—
1086C22×C4—31no—
1087C22×C4—31no—
1088C22×C4—31no—
1089C22×C4—31no—
1090C22×C4—31no—
1091C22×C4—31no—
1092C22×C4—31no—
1093C22×C4—62no—
1094C22×C4—62no—
1095C22×C4—62no—
1096C22×C4—62no—
1097C22×C4—62no—
1098C22×C4—62no—
1099C22×C4—62no—
1100C22×C4—62no—
1101C22×C4—62no—
1102C22×C4—62no—
1103C22×C4—62no—
1104C22×C4—62no—
1105C22×C4—62no—
1106C22×C4—62no—
1107C22×C4—121no—
1108C22×C4—121no—
1109C22×C4—121no—
1110C22×C4—121no—
1111C22×C4—121no—
1112C22×C4—121no—
1113C22×C4—121no—
1114C22×C4—121no—
1115C22×C4—121no—
1116C22×C4—121no—
1117C22×C4—121no—
1118C22×C4—121no—
1119C22×C4—121no—
1120C22×C4—121no—
1121C22×C4—121no—
1122C22×C4—121no—
1123C22×C4—121no—
1124C22×C4C23×D311yescharacteristic
1125C22×C4C23×D311yescharacteristic
1126C22×C4C23×D311yescharacteristic
1127C22×C4C23×D311yescharacteristic
1128C22×C4C23×D311yescharacteristic
1129C22×C4C23×D311yescharacteristic
1130C22×C4C23×D311yescharacteristic
1131C22×C4C23×D311yescharacteristic
1132C22×C4C23×D311yescharacteristic
1133C22×C4C23×D311yescharacteristic
1134C22×C4C23×D311yescharacteristic
1135C22×C4C23×D311yescharacteristic
1136C22×C4C23×D311yescharacteristic
1137C22×C4C23×D311yescharacteristic
1138C22×C4C23×D311yescharacteristic
1139C4⋊C4—22no—
1140C4⋊C4—22no—
1141C4⋊C4—22no—
1142C4⋊C4—22no—
1143C4⋊C4—22no—
1144C4⋊C4—22no—
1145C4⋊C4—22no—
1146C4⋊C4—22no—
1147C4⋊C4—22no—
1148C4⋊C4—22no—
1149C4⋊C4—22no—
1150C4⋊C4—22no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—62no—
1155C4⋊C4—62no—
1156C4⋊C4—62no—
1157C4⋊C4—62no—
1158C4⋊C4—62no—
1159C4⋊C4—62no—
1160C4⋊C4—62no—
1161C4⋊C4—62no—
1162C4⋊C4—62no—
1163C4⋊C4—62no—
1164C4⋊C4—62no—
1165C4⋊C4—62no—
1166C4⋊C4—62no—
1167C4⋊C4—62no—
1168C4⋊C4—62no—
1169C4⋊C4—62no—
1170C4⋊C4—62no—
1171C4⋊C4—62no—
1172C4⋊C4—62no—
1173C4⋊C4—62no—
1174C4⋊C4—62no—
1175C4⋊C4—62no—
1176C4⋊C4—121no—
1177C4⋊C4—121no—
1178C4⋊C4—121no—
1179C4⋊C4—121no—
1180C4⋊C4—121no—
1181C4⋊C4—121no—
1182C4⋊C4—121no—
1183C4⋊C4—121no—
1184C4⋊C4—121no—
1185C4⋊C4—121no—
1186C4⋊C4—121no—
1187C4⋊C4—121no—
1188C4⋊C4—121no—
1189C4⋊C4D3×D414yes—
1190C22⋊C4—34no—
1191C22⋊C4—34no—
1192C22⋊C4—62no—
1193C22⋊C4—62no—
1194C22⋊C4—62no—
1195C22⋊C4—62no—
1196C22⋊C4—62no—
1197C22⋊C4—62no—
1198C22⋊C4—62no—
1199C22⋊C4—62no—
1200C22⋊C4—62no—
1201C22⋊C4—62no—
1202C22⋊C4—62no—
1203C22⋊C4—62no—
1204C22⋊C4—62no—
1205C22⋊C4—62no—
1206C22⋊C4—62no—
1207C22⋊C4—62no—
1208C22⋊C4—62no—
1209C22⋊C4—121no—
1210C22⋊C4—121no—
1211C22⋊C4—121no—
1212C22⋊C4—121no—
1213C22⋊C4—121no—
1214C22⋊C4—121no—
1215C22⋊C4—121no—
1216C22⋊C4—121no—
1217C22⋊C4—121no—
1218C42—22no—
1219C42—22no—
1220C42—22no—
1221C42—34no—
1222C42—62no—
1223C42—121no—
1224C42—121no—
1225C42—121no—
1226C22×C3C23×D411yescharacteristic
1227C22×C3C2×H(5,𝔽2)11yescharacteristic
1228C22×C3C2×2−1+411yescharacteristic
1229C22×C3C2×2−1+411yescharacteristic
1230C22×C3C2×2−1+411yescharacteristic
1231C22×C3#58511yescharacteristic
1232C22×C3#58511yescharacteristic
1233C2×D3—22no—
1234C2×D3—22no—
1235C2×D3—22no—
1236C2×D3—22no—
1237C2×D3—22no—
1238C2×D3—22no—
1239C2×D3—22no—
1240C2×D3—22no—
1241C2×D3—22no—
1242C2×D3—41no—
1243C2×D3—41no—
1244C2×D3—41no—
1245C2×D3—41no—
1246C2×D3—41no—
1247C2×D3—41no—
1248C2×D3—41no—
1249C2×D3—41no—
1250C2×D3—41no—
1251C2×D3—41no—
1252C2×D3—41no—
1253C2×D3#53614yes—
1254C3×C4—22no—
1255C3×C4—22no—
1256C3×C4—22no—
1257C3×C4—22no—
1258C3×C4—41no—
1259C3×C4—41no—
1260C3×C4—41no—
1261C3×C4—41no—
1262C3×C4—41no—
1263C3×C4—41no—
1264C3×C4—41no—
1265C3×C4—41no—
1266C3×C4—41no—
1267C3×C4—41no—
1268C3×C4—41no—
1269Dic3—22no—
1270Dic3—22no—
1271Dic3—22no—
1272Dic3—41no—
1273Dic3—41no—
1274Dic3—41no—
1275Dic3—41no—
1276Dic3—41no—
1277Dic3—41no—
1278Dic3—41no—
1279Dic3—41no—
1280Dic3—41no—
1281Dic3—41no—
1282C23—32no—
1283C23—32no—
1284C23—32no—
1285C23—32no—
1286C23—61no—
1287C23—61no—
1288C23—61no—
1289C23—61no—
1290C23—61no—
1291C23—61no—
1292C23—61no—
1293C23—61no—
1294C23—61no—
1295C23—61no—
1296C23—61no—
1297C23—61no—
1298C23—61no—
1299C23—61no—
1300C23—61no—
1301C23—61no—
1302C23—61no—
1303C23C24×D311yescharacteristic
1304Q8—124no—
1305Q8—242no—
1306Q8—242no—
1307Q8—242no—
1308D4—68no—
1309D4—124no—
1310D4—242no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—32no—
1353C2×C4—32no—
1354C2×C4—32no—
1355C2×C4—61no—
1356C2×C4—61no—
1357C2×C4—61no—
1358C2×C4—61no—
1359C2×C4—61no—
1360C2×C4—61no—
1361C2×C4—61no—
1362C2×C4—61no—
1363C2×C4—61no—
1364C2×C4—61no—
1365C2×C4—61no—
1366C2×C4—61no—
1367C2×C4—61no—
1368C2×C4—61no—
1369C2×C4—61no—
1370C2×C4—61no—
1371C2×C4—61no—
1372C2×C4—61no—
1373C2×C4—61no—
1374C2×C4—61no—
1375C2×C4—61no—
1376C2×C4—61no—
1377C2×C4—61no—
1378C2×C4—61no—
1379C2×C4—61no—
1380C2×C4—61no—
1381C2×C4—61no—
1382C2×C4—61no—
1383C2×C4—61no—
1384C2×C4—61no—
1385C2×C4—61no—
1386C2×C4—61no—
1387C2×C4—61no—
1388C2×C4—61no—
1389C2×C4—61no—
1390C2×C4—61no—
1391C2×C4—124no—
1392C2×C4—124no—
1393C2×C4—124no—
1394C2×C4—124no—
1395C2×C4—124no—
1396C2×C4—124no—
1397C2×C4—242no—
1398C2×C4—242no—
1399C2×C4—242no—
1400C2×C4—242no—
1401C2×C4—242no—
1402C2×C4C2×D3×D412yes—
1403C2×C4C2×D3×D412yes—
1404C2×C4C2×D3×D412yes—
1405C2×C4#100912yes—
1406C2×C3C2×#53611yescharacteristic
1407C2×C3#348911yescharacteristic
1408C2×C3#349611yescharacteristic
1409C2×C3#353511yescharacteristic
1410C2×C3#355211yescharacteristic
1411C2×C3#355311yescharacteristic
1412C2×C3#356311yescharacteristic
1413D3—24no—
1414D3—42no—
1415D3—81no—
1416C22—34no—
1417C22—62no—
1418C22—62no—
1419C22—62no—
1420C22—62no—
1421C22—62no—
1422C22—62no—
1423C22—62no—
1424C22—62no—
1425C22—62no—
1426C22—121no—
1427C22—121no—
1428C22—121no—
1429C22—121no—
1430C22—121no—
1431C22—121no—
1432C22—121no—
1433C22—121no—
1434C22—121no—
1435C22—121no—
1436C22—121no—
1437C22C22×D3×D411yescharacteristic
1438C22C2×#100911yescharacteristic
1439C22#596411yescharacteristic
1440C22D3×2−1+411yescharacteristic
1441C22D3×2−1+411yescharacteristic
1442C22D3×2−1+411yescharacteristic
1443C22#596811yescharacteristic
1444C4—22no—
1445C4—22no—
1446C4—22no—
1447C4—22no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—62no—
1460C4—62no—
1461C4—62no—
1462C4—121no—
1463C4—121no—
1464C4—121no—
1465C4—121no—
1466C4—121no—
1467C4—121no—
1468C4—121no—
1469C4—121no—
1470C4—121no—
1471C4—121no—
1472C3#4051611yescharacteristic, complemented, Sylow
1473C2—64no—
1474C2—122no—
1475C2—241no—
1476C2D3×#53611yescharacteristic
1477C2#8651711yescharacteristic
1478C2#8651811yescharacteristic
1479C2#8670211yescharacteristic
1480C2#8671411yescharacteristic
1481C2#8684411yescharacteristic
1482C2#8714411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2719C2
prime radicalC2×#895C22
hypercenter#2719D3
hypocenterC3#40516
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2719

Complements

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

NH ≅ G/Ntype
2. C2×#5690C2semidirect
3. C3×#2719C2semidirect
4. #83068C2semidirect
5. #83048C2semidirect
6. #78364C2semidirect
7. #78360C2semidirect
8. #78360C2semidirect
9. #78347C2semidirect
11. #78318C2semidirect
12. #78006C2semidirect
13. #77969C2semidirect
14. #77958C2semidirect
15. #77947C2semidirect
16. D3×#398C2semidirect
17. #77840C2semidirect
18. #76262C2semidirect
19. #76212C2semidirect
20. #76208C2semidirect
21. #75998C2semidirect
22. #75395C2semidirect
23. #75390C2semidirect
24. #75378C2semidirect
25. #75370C2semidirect
27. #75316C2semidirect
28. #75305C2semidirect
29. #75076C2semidirect
30. #74233C2semidirect
31. #74193C2semidirect
194. #2719D3semidirect
1472. C3#40516semidirect

Maximal subgroups

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

subgroupindex
C2×#56922
C2×#56902
C3×#27192
#830682
#830482
#783642
#783602
#783472
#783432
#783182
#780062
#779692
#779582
#779472
D3×#3982
#778402
#762622
#762122
#762082
#759982
#753952
#753902
#753782
#753702
#753192
#753162
#753052
#750762
#742332
#741932
#405163