Finite Group Databasebeta

← #11235431

Subgroups — #11235431

Order 768.

2446 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5791C211yesmaximal, characteristic, complemented
2C2×#5667C211yesmaximal, characteristic, complemented
3C3×#2849C211yesmaximal, characteristic, complemented
4#84031C211yesmaximal, characteristic, complemented
5#82897C211yesmaximal, characteristic, complemented
6#82889C211yesmaximal, characteristic, complemented
7#82845C211yesmaximal, characteristic, complemented
8#82610C211yesmaximal, characteristic, complemented
9#82608C211yesmaximal, characteristic, complemented
10#74921C211yesmaximal, characteristic, complemented
11#74914C211yesmaximal, characteristic, complemented
12#74896C211yesmaximal, characteristic, complemented
13#74804C211yesmaximal, characteristic, complemented
14#74803C211yesmaximal, characteristic, complemented
15#74733C211yesmaximal, characteristic, complemented
16#74718C211yesmaximal, characteristic, complemented
17#74715C211yesmaximal, characteristic, complemented
18#74639C211yesmaximal, characteristic, complemented
19#74633C211yesmaximal, characteristic, complemented
20#74631C211yesmaximal, characteristic, complemented
21#74610C211yesmaximal, characteristic, complemented
22#74609C211yesmaximal, characteristic, complemented
23#74600C211yesmaximal, characteristic, complemented
24#74534C211yesmaximal, characteristic, complemented
25#74446C211yesmaximal, characteristic, complemented
26#74127C211yesmaximal, characteristic, complemented
27#74124C211yesmaximal, characteristic, complemented
28#74114C211yesmaximal, characteristic, complemented
29#74068C211yesmaximal, characteristic, complemented
30#73859C211yesmaximal, characteristic, complemented
31#73840C211yesmaximal, characteristic, complemented
32#45447—31nomaximal, Sylow
33C24×C3×C4C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C2×#953C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#938C2211yescharacteristic
42C2×#938C2211yescharacteristic
43#5791—28no—
44C2×#930C2211yescharacteristic
45C2×#930C2211yescharacteristic
46C2×#929C2211yescharacteristic
47C2×#929C2211yescharacteristic
48C2×C4×#67C2211yescharacteristic
49C2×C4×#67C2211yescharacteristic
50C2×C4×#67C2211yescharacteristic
51C2×C4×#67C2211yescharacteristic
52C2×#926C2211yescharacteristic
53C2×#924C2211yescharacteristic
54C2×#924C2211yescharacteristic
55C2×#924C2211yescharacteristic
56C2×#924C2211yescharacteristic
57C2×#924C2211yescharacteristic
58#5667—28no—
59C2×#897C2211yescharacteristic, complemented
60C2×#896C2211yescharacteristic, complemented
61C2×#894C2211yescharacteristic, complemented
62C2×D3×C4⋊C4C2211yescharacteristic, complemented
63C2×#890C2211yescharacteristic, complemented
64C2×#886C2211yescharacteristic, complemented
65C2×#885C2211yescharacteristic
66C2×#885C2211yescharacteristic, complemented
67C2×#884C2211yescharacteristic, complemented
68C2×#883C2211yescharacteristic
69C2×#883C2211yescharacteristic
70C2×#883C2211yescharacteristic, complemented
71C2×#878C2211yescharacteristic, complemented
72C3×#386C2211yescharacteristic
73C3×#386C2211yescharacteristic
74C3×#386C2211yescharacteristic
75C3×#386C2211yescharacteristic
76C3×#385C2211yescharacteristic
77C3×#385C2211yescharacteristic
78C3×#385C2211yescharacteristic
79C3×#385C2211yescharacteristic
80C3×#381C2211yescharacteristic
81C3×#381C2211yescharacteristic
82C3×#379C2211yescharacteristic
83#5247C2211yescharacteristic
84#5247C2211yescharacteristic
85#5223C2211yescharacteristic
86#5223C2211yescharacteristic
87#5223C2211yescharacteristic
88#5222C2211yescharacteristic
89#5222C2211yescharacteristic
90#5222C2211yescharacteristic
91#5221C2211yescharacteristic
92#5220C2211yescharacteristic
93#5220C2211yescharacteristic
94#5212C2211yescharacteristic
95#5212C2211yescharacteristic
96#5212C2211yescharacteristic
97#5210C2211yescharacteristic
98#5210C2211yescharacteristic
99#5210C2211yescharacteristic
100#5210C2211yescharacteristic
101#5210C2211yescharacteristic
102#5210C2211yescharacteristic
103#4992C2211yescharacteristic, complemented
104#4989C2211yescharacteristic, complemented
105#4989C2211yescharacteristic, complemented
106#4982C2211yescharacteristic, complemented
107#4982C2211yescharacteristic, complemented
108#4982C2211yescharacteristic, complemented
109#4981C2211yescharacteristic, complemented
110#4980C2211yescharacteristic, complemented
111#4979C2211yescharacteristic, complemented
112#4976C2211yescharacteristic, complemented
113#4975C2211yescharacteristic, complemented
114#4961C2211yescharacteristic
115#4961C2211yescharacteristic
116#4959C2211yescharacteristic
117#4959C2211yescharacteristic
118#4959C2211yescharacteristic
119#4959C2211yescharacteristic, complemented
120#4957C2211yescharacteristic
121#4957C2211yescharacteristic
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic
127#4956C2211yescharacteristic
128#4956C2211yescharacteristic
129#4956C2211yescharacteristic
130#4956C2211yescharacteristic, complemented
131#4956C2211yescharacteristic, complemented
132#4953C2211yescharacteristic
133#4953C2211yescharacteristic
134#4953C2211yescharacteristic
135#4953C2211yescharacteristic
136#4953C2211yescharacteristic, complemented
137#4952C2211yescharacteristic
138#4952C2211yescharacteristic
139#4952C2211yescharacteristic
140#4951C2211yescharacteristic
141#4951C2211yescharacteristic
142#4951C2211yescharacteristic
143#4949C2211yescharacteristic
144#4949C2211yescharacteristic, complemented
145#4948C2211yescharacteristic
146#4948C2211yescharacteristic
147#4948C2211yescharacteristic
148#4948C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4947C2211yescharacteristic
151#4947C2211yescharacteristic
152#4947C2211yescharacteristic, complemented
153#4945C2211yescharacteristic
154#4945C2211yescharacteristic, complemented
155#4944C2211yescharacteristic
156#4942C2211yescharacteristic, complemented
157Dic3×C22⋊C4C2211yescharacteristic, complemented
158#4675C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4670C2211yescharacteristic, complemented
161#4670C2211yescharacteristic, complemented
162#4668C2211yescharacteristic, complemented
163#4668C2211yescharacteristic, complemented
164#4668C2211yescharacteristic, complemented
165#4668C2211yescharacteristic, complemented
166#4667C2211yescharacteristic, complemented
167#4665C2211yescharacteristic, complemented
168#4665C2211yescharacteristic, complemented
169#4664C2211yescharacteristic, complemented
170#4664C2211yescharacteristic, complemented
171D3×#95C2211yescharacteristic, complemented
172#4660C2211yescharacteristic, complemented
173#4659C2211yescharacteristic, complemented
174#4659C2211yescharacteristic, complemented
175#4659C2211yescharacteristic, complemented
176#4659C2211yescharacteristic, complemented
177#4657C2211yescharacteristic, complemented
178#4656C2211yescharacteristic, complemented
179#4656C2211yescharacteristic, complemented
180#4656C2211yescharacteristic, complemented
181#4656C2211yescharacteristic, complemented
182#4655C2211yescharacteristic, complemented
183#4654C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#562—31no—
191C2×#525—31no—
192#2849D311yescharacteristic, complemented
193#2848—31no—
194#2817—31no—
195#2814—31no—
196#2720—31no—
197#2708—31no—
198#2697—31no—
199#2693—31no—
200#2692—31no—
201#2688—31no—
202#2687—31no—
203#2684—31no—
204#2680—31no—
205#2678—31no—
206#2672—31no—
207#2668—31no—
208#2477—31no—
209#2475—31no—
210#2461—31no—
211#2457—31no—
212#2450—31no—
213#2449—31no—
214#2447—31no—
215#2443—31no—
216#2430—31no—
217#2422—31no—
218#2419—31no—
219#2406—31no—
220#2377—31no—
221C25×C3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4—24no—
226C23×C3×C4—42no—
227C23×C3×C4—42no—
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C2×#235—24no—
244C2×#235—42no—
245C2×#235—42no—
246C22×D12C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C22×Dic6C2311yescharacteristic
255C22×Dic6C2311yescharacteristic
256C3×#123—24no—
257C3×#123—42no—
258C3×#120—42no—
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276#953—24no—
277#953—24no—
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301#939—24no—
302#938—24no—
303#938—42no—
304#930—24no—
305#930D418yescomplemented
306#929—24no—
307#929—24no—
308C4×#67—24no—
309C4×#67—24no—
310C4×#67—24no—
311C4×#67—24no—
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326#926—24no—
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338#924—24no—
339#924—24no—
340#924—24no—
341#924—42no—
342#924—42no—
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366#897—24no—
367#896—24no—
368#894—24no—
369D3×C4⋊C4—42no—
370#890—24no—
371#886—24no—
372#885—24no—
373#885—24no—
374#884—24no—
375#883—24no—
376#883—42no—
377#883—42no—
378#878—24no—
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C22×#41—31no—
418C24×C4C2×D311yescharacteristic
419#562—68no—
420C2×#125—31no—
421C2×#124—31no—
422C2×#124—31no—
423#525—68no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123C2×D311yescharacteristic
432C2×#123C2×D311yescharacteristic
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×#120C2×D311yescharacteristic
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×#117—31no—
455C22×C4⋊C4—31no—
456#400—31no—
457#400—31no—
458#400—31no—
459#400—31no—
460#400—31no—
461#399—31no—
462#399—31no—
463#398—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#398—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#395—31no—
485#395—31no—
486#395—31no—
487#395—31no—
488#395—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#393—31no—
499#393—31no—
500#393—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#391—31no—
505#391—31no—
506#390—31no—
507#390—31no—
508#390—31no—
509#389—31no—
510#389—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#387—31no—
523#387—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386C2×D311yescharacteristic
539#386C2×D311yescharacteristic
540#386C2×D311yescharacteristic
541#386C2×D311yescharacteristic
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385C2×D311yescharacteristic
555#385C2×D311yescharacteristic
556#385C2×D311yescharacteristic
557#385C2×D311yescharacteristic
558#384—31no—
559#381—31no—
560#381—31no—
561#381C2×D311yescharacteristic
562#381C2×D311yescharacteristic
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#379—31no—
569#379—31no—
570#379C2×D311yescharacteristic
571C4×C4⋊C4—31no—
572C4×C22⋊C4—31no—
573C2×#95—31no—
574C24×C3—22no—
575C24×C3—22no—
576C24×C3—22no—
577C24×C3—41no—
578C24×C3—41no—
579C24×C3—41no—
580C24×C3—41no—
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C2×C3×D4—22no—
588C2×C3×D4—22no—
589C2×C3×D4—22no—
590C2×C3×D4—41no—
591C2×C3×D4—41no—
592C2×C3×D4—41no—
593C2×C3×D4—41no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4—416no—
614C22×C3×C4C2×D414yes—
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67C2×D414yes—
649C2×#67C2×D414yes—
650C22×Dic3—22no—
651C22×Dic3—41no—
652C22×Dic3—41no—
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667#235—416no—
668C2×D12—41no—
669C2×D12—41no—
670C2×D12C2×D414yes—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×Dic6—22no—
690C2×Dic6—22no—
691C2×Dic6—22no—
692C2×Dic6—41no—
693C2×Dic6—41no—
694C2×Dic6—41no—
695C2×Dic6—41no—
696C2×Dic6—41no—
697C2×Dic6—41no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—22no—
701C3×C4⋊C4—41no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—41no—
709C3×C22⋊C4—41no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4—41no—
712C3×C22⋊C4—41no—
713C3×C22⋊C4—41no—
714C3×C22⋊C4—41no—
715#217—22no—
716#217—22no—
717#217—22no—
718#217—22no—
719#217—22no—
720#217—22no—
721#217—22no—
722#217—22no—
723#217—22no—
724#217—22no—
725#217—22no—
726#217—41no—
727#217—41no—
728#217—41no—
729#217—41no—
730#217—41no—
731#217—41no—
732#217—41no—
733#217—41no—
734#217—41no—
735#217—41no—
736#217—41no—
737#217—41no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4C2×D414yes—
751(C2×D3)⋊C4C2×D414yes—
752C4⋊Dic3—22no—
753C4⋊Dic3—22no—
754C4⋊Dic3—22no—
755C4⋊Dic3—22no—
756C4⋊Dic3—41no—
757C4⋊Dic3—41no—
758C4⋊Dic3—41no—
759C4⋊Dic3—41no—
760C4⋊Dic3—41no—
761C4⋊Dic3—41no—
762C4⋊Dic3C2×D414yes—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4—41no—
776Dic3⋊C4—41no—
777Dic3⋊C4—41no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781C4×Dic3—22no—
782C4×Dic3—22no—
783C4×Dic3—22no—
784C4×Dic3—41no—
785C4×Dic3—41no—
786C25C22×D311yescharacteristic
787C2×#41—64no—
788C2×#41—122no—
789C2×#41—122no—
790C22×Q8—31no—
791C22×Q8—31no—
792C22×Q8—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4C22×D311yescharacteristic
803C22×D4C22×D311yescharacteristic
804C22×D4C22×D311yescharacteristic
805C23×C4—24no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—42no—
814C23×C4—42no—
815C23×C4C22×D311yescharacteristic
816C23×C4C22×D311yescharacteristic
817C23×C4C22×D311yescharacteristic
818C23×C4C22×D311yescharacteristic
819C23×C4C22×D311yescharacteristic
820C23×C4C22×D311yescharacteristic
821#125—64no—
822#124—64no—
823#124—64no—
824#123—24no—
825#123—42no—
826#123—64no—
827#123—64no—
828#123—64no—
829#123—64no—
830#123—64no—
831#123—122no—
832#123—122no—
833C22⋊Q8—64no—
834C22⋊Q8—64no—
835C22⋊Q8—64no—
836C22⋊Q8—64no—
837C22⋊Q8—64no—
838C22⋊Q8—64no—
839C22⋊Q8—122no—
840C22⋊Q8—122no—
841#121—38no—
842#121—64no—
843#121—64no—
844#121—64no—
845#121—64no—
846#121—122no—
847#120—42no—
848#120—64no—
849#120—64no—
850C4×D4—64no—
851C4×D4—64no—
852C4×D4—64no—
853C4×D4—64no—
854#117—64no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—122no—
885C2×C4⋊C4C22×D311yescharacteristic
886C2×C4⋊C4C22×D311yescharacteristic
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C22⋊C4C22×D311yescharacteristic
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C22⋊C4C22×D311yescharacteristic
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C42—31no—
940C2×C42—31no—
941C2×C42—31no—
942C2×C42—31no—
943C2×C42—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—44no—
1008C23×C3—44no—
1009C23×C3—44no—
1010C23×C3—44no—
1011C23×C3—44no—
1012C23×C3—44no—
1013C23×C3—44no—
1014C23×C3C22×D412yes—
1015C23×C3H(5,𝔽2)12yes—
1016C23×C32−1+412yes—
1017C23×C3C2511yescharacteristic
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3C22×D412yes—
1031C22×D3C22×D412yes—
1032C3×D4—82no—
1033C3×D4—82no—
1034C3×D4—82no—
1035C2×C3×C4—28no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—44no—
1067C2×C3×C4—44no—
1068C2×C3×C4—44no—
1069C2×C3×C4—44no—
1070C2×C3×C4—44no—
1071C2×C3×C4C22×D412yes—
1072C2×C3×C4C22×D412yes—
1073C2×C3×C4H(5,𝔽2)12yes—
1074#67—44no—
1075#67—44no—
1076#67—44no—
1077#67—44no—
1078#67—44no—
1079#67—44no—
1080#67—82no—
1081#67—82no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—82no—
1123C2×Dic3C22×D412yes—
1124C2×Dic3C22×D412yes—
1125D12—44no—
1126C4×D3—44no—
1127C4×D3—44no—
1128C4×D3—44no—
1129C4×D3—82no—
1130C4×D3—82no—
1131C4×D3—82no—
1132Dic6—44no—
1133Dic6—82no—
1134Dic6—82no—
1135C24—22no—
1136C24—22no—
1137C24—22no—
1138C24—31no—
1139C24—31no—
1140C24—41no—
1141C24—41no—
1142C24—41no—
1143C24—41no—
1144C24C23×D311yescharacteristic
1145C24C23×D311yescharacteristic
1146C24C23×D311yescharacteristic
1147C24C23×D311yescharacteristic
1148#41—1216no—
1149C2×Q8—62no—
1150C2×Q8—62no—
1151C2×Q8—62no—
1152C2×Q8—121no—
1153C2×Q8—121no—
1154C2×Q8—121no—
1155C2×Q8—121no—
1156C2×Q8—121no—
1157C2×Q8—121no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—34no—
1162C2×D4—34no—
1163C2×D4—34no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—121no—
1181C2×D4—121no—
1182C2×D4—121no—
1183C2×D4—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—121no—
1193C2×D4—121no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—31no—
1208C22×C4—31no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—31no—
1214C22×C4—31no—
1215C22×C4—31no—
1216C22×C4—31no—
1217C22×C4—31no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—416no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—121no—
1234C22×C4—121no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4—121no—
1247C22×C4D3×D414yes—
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C22×C4C23×D311yescharacteristic
1258C22×C4C23×D311yescharacteristic
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—34no—
1263C4⋊C4—41no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—121no—
1279C4⋊C4—121no—
1280C4⋊C4—121no—
1281C4⋊C4—121no—
1282C4⋊C4—121no—
1283C4⋊C4—121no—
1284C4⋊C4—121no—
1285C4⋊C4—121no—
1286C4⋊C4—121no—
1287C4⋊C4—121no—
1288C4⋊C4—121no—
1289C4⋊C4—121no—
1290C4⋊C4—121no—
1291C4⋊C4—121no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—34no—
1299C22⋊C4—34no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—62no—
1310C22⋊C4—62no—
1311C22⋊C4—62no—
1312C22⋊C4—62no—
1313C22⋊C4—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4—121no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4—121no—
1334C22⋊C4—121no—
1335C22⋊C4—121no—
1336C22⋊C4—121no—
1337C22⋊C4—121no—
1338C22⋊C4—121no—
1339C22⋊C4—121no—
1340C22⋊C4—121no—
1341C22⋊C4—121no—
1342C42—62no—
1343C42—62no—
1344C42—62no—
1345C42—121no—
1346C42—121no—
1347C22×C3—22no—
1348C22×C3—22no—
1349C22×C3—22no—
1350C22×C3—22no—
1351C22×C3—22no—
1352C22×C3—22no—
1353C22×C3—22no—
1354C22×C3—22no—
1355C22×C3—22no—
1356C22×C3—416no—
1357C22×C3—41no—
1358C22×C3—41no—
1359C22×C3—41no—
1360C22×C3—41no—
1361C22×C3—41no—
1362C22×C3—41no—
1363C22×C3—41no—
1364C22×C3—41no—
1365C22×C3—41no—
1366C22×C3—41no—
1367C22×C3—41no—
1368C22×C3—41no—
1369C22×C3—41no—
1370C22×C3—41no—
1371C22×C3—41no—
1372C22×C3—41no—
1373C22×C3—41no—
1374C22×C3—41no—
1375C22×C3—41no—
1376C22×C3C23×D411yescharacteristic
1377C22×C3C2×H(5,𝔽2)11yescharacteristic
1378C22×C3C2×H(5,𝔽2)11yescharacteristic
1379C22×C3C2×2−1+411yescharacteristic
1380C22×C3#58511yescharacteristic
1381C22×C3#58511yescharacteristic
1382C22×C3#58511yescharacteristic
1383C2×D3—22no—
1384C2×D3—22no—
1385C2×D3—22no—
1386C2×D3—22no—
1387C2×D3—22no—
1388C2×D3—22no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C3×C4—22no—
1398C3×C4—22no—
1399C3×C4—22no—
1400C3×C4—41no—
1401C3×C4—41no—
1402C3×C4—41no—
1403C3×C4—41no—
1404C3×C4—41no—
1405C3×C4—41no—
1406C3×C4—41no—
1407C3×C4—41no—
1408Dic3—22no—
1409Dic3—22no—
1410Dic3—41no—
1411Dic3—41no—
1412Dic3—41no—
1413Dic3—41no—
1414Dic3—41no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418Dic3—41no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3—41no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—32no—
1448C23—32no—
1449C23—44no—
1450C23—44no—
1451C23—44no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—61no—
1468C23C2×D3×D412yes—
1469C23#100412yes—
1470C23#101012yes—
1471C23C24×D311yescharacteristic
1472Q8—124no—
1473Q8—242no—
1474Q8—242no—
1475D4—82no—
1476D4—82no—
1477D4—82no—
1478D4—124no—
1479D4—124no—
1480D4—124no—
1481D4—124no—
1482D4—124no—
1483D4—124no—
1484D4—124no—
1485D4—242no—
1486D4—242no—
1487C2×C4—28no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—32no—
1519C2×C4—32no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—124no—
1566C2×C4—124no—
1567C2×C4—124no—
1568C2×C4—242no—
1569C2×C4—242no—
1570C2×C4—242no—
1571C2×C4—242no—
1572C2×C4C2×D3×D412yes—
1573C2×C4C2×D3×D412yes—
1574C2×C4#100412yes—
1575C2×C3—42no—
1576C2×C3—42no—
1577C2×C3—42no—
1578C2×C3—81no—
1579C2×C3#348411yescharacteristic
1580C2×C3#348511yescharacteristic
1581C2×C3#348911yescharacteristic
1582C2×C3#352911yescharacteristic
1583C2×C3#353311yescharacteristic
1584C2×C3#353511yescharacteristic
1585C2×C3#354111yescharacteristic
1586D3—42no—
1587D3—42no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—416no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—62no—
1618C22—62no—
1619C22—62no—
1620C22—62no—
1621C22—62no—
1622C22—62no—
1623C22—121no—
1624C22—121no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22C22×D3×D411yescharacteristic
1632C22C2×#100411yescharacteristic
1633C22C2×#100411yescharacteristic
1634C22C2×#101011yescharacteristic
1635C22#596411yescharacteristic
1636C22#596411yescharacteristic
1637C22#596411yescharacteristic
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—62no—
1650C4—62no—
1651C4—121no—
1652C4—121no—
1653C4—121no—
1654C4—121no—
1655C4—121no—
1656C4—121no—
1657C4—121no—
1658C4—121no—
1659C4—121no—
1660C4—121no—
1661C4—121no—
1662C4—121no—
1663C3#4544711yescharacteristic, complemented, Sylow
1664C2—42no—
1665C2—42no—
1666C2—42no—
1667C2—81no—
1668C2—122no—
1669C2—122no—
1670C2#8591911yescharacteristic
1671C2#8600311yescharacteristic
1672C2#8601611yescharacteristic
1673C2#8604011yescharacteristic
1674C2#8604211yescharacteristic
1675C2#8604811yescharacteristic
1676C2#8605711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2849C2
hypercenter#2849D3
hypocenterC3#45447
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. C2×#5791C2semidirect
2. C2×#5667C2semidirect
3. C3×#2849C2semidirect
4. #84031C2semidirect
5. #82897C2semidirect
6. #82889C2semidirect
7. #82845C2semidirect
8. #82610C2semidirect
9. #82608C2semidirect
10. #74921C2semidirect
11. #74914C2semidirect
12. #74896C2semidirect
13. #74804C2semidirect
14. #74803C2semidirect
15. #74733C2semidirect
16. #74718C2semidirect
17. #74715C2semidirect
18. #74639C2semidirect
19. #74633C2semidirect
20. #74631C2semidirect
21. #74610C2semidirect
22. #74609C2semidirect
23. #74600C2semidirect
24. #74534C2semidirect
25. #74446C2semidirect
26. #74127C2semidirect
27. #74124C2semidirect
28. #74114C2semidirect
29. #74068C2semidirect
30. #73859C2semidirect
31. #73840C2semidirect
59. C2×#897C22semidirect
60. C2×#896C22semidirect
61. C2×#894C22semidirect
62. C2×D3×C4⋊C4C22semidirect
63. C2×#890C22semidirect
64. C2×#886C22semidirect
66. C2×#885C22semidirect
67. C2×#884C22semidirect
70. C2×#883C22semidirect
71. C2×#878C22semidirect
103. #4992C22semidirect
104. #4989C22semidirect
105. #4989C22semidirect
106. #4982C22semidirect
107. #4982C22semidirect
108. #4982C22semidirect
109. #4981C22semidirect
110. #4980C22semidirect
111. #4979C22semidirect
112. #4976C22semidirect
113. #4975C22semidirect
119. #4959C22semidirect
130. #4956C22semidirect
131. #4956C22semidirect
136. #4953C22semidirect
144. #4949C22semidirect
148. #4948C22semidirect
149. #4948C22semidirect
152. #4947C22semidirect
154. #4945C22semidirect
156. #4942C22semidirect
157. Dic3×C22⋊C4C22semidirect
158. #4675C22semidirect
159. #4675C22semidirect
160. #4670C22semidirect
161. #4670C22semidirect
162. #4668C22semidirect
163. #4668C22semidirect
164. #4668C22semidirect
165. #4668C22semidirect
166. #4667C22semidirect
167. #4665C22semidirect
168. #4665C22semidirect
169. #4664C22semidirect
170. #4664C22semidirect
171. D3×#95C22semidirect
172. #4660C22semidirect
173. #4659C22semidirect
174. #4659C22semidirect
175. #4659C22semidirect
176. #4659C22semidirect
177. #4657C22semidirect
178. #4656C22semidirect
179. #4656C22semidirect
180. #4656C22semidirect
181. #4656C22semidirect
182. #4655C22semidirect
183. #4654C22semidirect
184. #4654C22semidirect
185. #4652C22semidirect
186. #4649C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
192. #2849D3semidirect
305. #930D4semidirect
1663. C3#45447semidirect

Maximal subgroups

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

subgroupindex
C2×#57912
C2×#56672
C3×#28492
#840312
#828972
#828892
#828452
#826102
#826082
#749212
#749142
#748962
#748042
#748032
#747332
#747182
#747152
#746392
#746332
#746312
#746102
#746092
#746002
#745342
#744462
#741272
#741242
#741142
#740682
#738592
#738402
#454473