Finite Group Databasebeta

← #11259023

Subgroups — #11259023

Order 768.

2550 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5608C211yesmaximal, characteristic, complemented
2C2×#5593C211yesmaximal, characteristic, complemented
3C3×#2424C211yesmaximal, characteristic, complemented
4#82687C211yesmaximal, characteristic, complemented
5#82651C211yesmaximal, characteristic, complemented
6#82641C211yesmaximal, characteristic, complemented
7#82608C211yesmaximal, characteristic, complemented
8#82608C211yesmaximal, characteristic, complemented
9#82586C211yesmaximal, characteristic, complemented
10#82408C211yesmaximal, characteristic, complemented
11#82327C211yesmaximal, characteristic, complemented
12#82125C211yesmaximal, characteristic, complemented
13#82110C211yesmaximal, characteristic, complemented
14#77419C211yesmaximal, characteristic, complemented
15#77419C211yesmaximal, characteristic, complemented
16#77131C211yesmaximal, characteristic, complemented
17#77084C211yesmaximal, characteristic, complemented
18#77041C211yesmaximal, characteristic, complemented
19#77003C211yesmaximal, characteristic, complemented
20#76773C211yesmaximal, characteristic, complemented
21#76668C211yesmaximal, characteristic, complemented
22#76447C211yesmaximal, characteristic, complemented
23#76382C211yesmaximal, characteristic, complemented
24#75925C211yesmaximal, characteristic, complemented
25#75542C211yesmaximal, characteristic, complemented
26#74927C211yesmaximal, characteristic, complemented
27#74801C211yesmaximal, characteristic, complemented
28#74763C211yesmaximal, characteristic, complemented
29#74751C211yesmaximal, characteristic, complemented
30#74600C211yesmaximal, characteristic, complemented
31#74521C211yesmaximal, characteristic, complemented
32#46366—31nomaximal, Sylow
33C22×#237C2211yescharacteristic, complemented
34C22×#235C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic
39C2×C3×C4×D4C2211yescharacteristic
40C22×C3×C22⋊C4C2211yescharacteristic
41C2×#953C2211yescharacteristic
42C2×#953C2211yescharacteristic
43C22×#217C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic
49C2×#938C2211yescharacteristic
50C2×#938C2211yescharacteristic
51C2×#938C2211yescharacteristic
52C2×#938C2211yescharacteristic
53C2×#938C2211yescharacteristic, complemented
54C2×#936C2211yescharacteristic
55C2×#935C2211yescharacteristic
56C2×D4×Dic3C2211yescharacteristic
57C2×C4×#67C2211yescharacteristic, complemented
58C2×#924C2211yescharacteristic
59#5608—28no—
60#5593—28no—
61C2×#897C2211yescharacteristic, complemented
62C2×#897C2211yescharacteristic, complemented
63C2×#894C2211yescharacteristic, complemented
64C2×D3×C4⋊C4C2211yescharacteristic, complemented
65C2×D3×C4⋊C4C2211yescharacteristic, complemented
66C2×#885C2211yescharacteristic
67C2×#884C2211yescharacteristic, complemented
68C2×#884C2211yescharacteristic, complemented
69C2×#883C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic
71C2×#67⋊C4C2211yescharacteristic
72C2×#879C2211yescharacteristic
73C2×#879C2211yescharacteristic
74C2×#878C2211yescharacteristic
75C2×#878C2211yescharacteristic
76C2×#878C2211yescharacteristic, complemented
77C2×#878C2211yescharacteristic, complemented
78C3×#396C2211yescharacteristic
79C3×#394C2211yescharacteristic
80C3×#394C2211yescharacteristic
81C3×#392C2211yescharacteristic
82C3×#390C2211yescharacteristic
83C3×#388C2211yescharacteristic
84C3×#386C2211yescharacteristic
85C3×#386C2211yescharacteristic
86C3×#385C2211yescharacteristic
87#5247C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic
91#5222C2211yescharacteristic
92#5222C2211yescharacteristic
93#5222C2211yescharacteristic
94#5222C2211yescharacteristic, complemented
95#5221C2211yescharacteristic
96#5220C2211yescharacteristic
97#5220C2211yescharacteristic
98#5220C2211yescharacteristic
99#5220C2211yescharacteristic
100#5220C2211yescharacteristic
101#5220C2211yescharacteristic, complemented
102#5213C2211yescharacteristic
103#5213C2211yescharacteristic
104#5213C2211yescharacteristic, complemented
105#5212C2211yescharacteristic
106#5212C2211yescharacteristic, complemented
107#5211C2211yescharacteristic
108#5210C2211yescharacteristic
109#5210C2211yescharacteristic
110C2×C3⋊#95C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4989C2211yescharacteristic, complemented
113#4984C2211yescharacteristic, complemented
114#4984C2211yescharacteristic, complemented
115#4983C2211yescharacteristic, complemented
116#4982C2211yescharacteristic, complemented
117#4979C2211yescharacteristic, complemented
118#4979C2211yescharacteristic, complemented
119#4979C2211yescharacteristic, complemented
120#4978C2211yescharacteristic, complemented
121#4978C2211yescharacteristic, complemented
122#4961C2211yescharacteristic
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4960C2211yescharacteristic
126#4960C2211yescharacteristic
127#4959C2211yescharacteristic
128#4959C2211yescharacteristic
129#4959C2211yescharacteristic, complemented
130#4958C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic
135#4956C2211yescharacteristic
136#4956C2211yescharacteristic
137#4956C2211yescharacteristic
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic, complemented
142#4953C2211yescharacteristic
143#4953C2211yescharacteristic
144#4953C2211yescharacteristic, complemented
145#4952C2211yescharacteristic
146#4952C2211yescharacteristic
147#4952C2211yescharacteristic, complemented
148#4952C2211yescharacteristic, complemented
149#4950C2211yescharacteristic
150#4950C2211yescharacteristic
151#4950C2211yescharacteristic, complemented
152#4949C2211yescharacteristic
153#4949C2211yescharacteristic
154#4949C2211yescharacteristic
155#4948C2211yescharacteristic
156#4948C2211yescharacteristic
157#4948C2211yescharacteristic
158#4948C2211yescharacteristic, complemented
159#4947C2211yescharacteristic
160#4947C2211yescharacteristic
161#4947C2211yescharacteristic
162#4947C2211yescharacteristic, complemented
163#4946C2211yescharacteristic
164#4946C2211yescharacteristic, complemented
165#4944C2211yescharacteristic
166#4944C2211yescharacteristic, complemented
167#4942C2211yescharacteristic
168#4942C2211yescharacteristic, complemented
169#4942C2211yescharacteristic, complemented
170#4940C2211yescharacteristic, complemented
171C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
172#4933C2211yescharacteristic, complemented
173#4929C2211yescharacteristic, complemented
174#4675C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4668C2211yescharacteristic, complemented
177#4668C2211yescharacteristic, complemented
178#4667C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4664C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4650C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#537—31no—
192#2814—31no—
193#2723—31no—
194#2708—31no—
195#2700—31no—
196#2698—31no—
197#2692—31no—
198#2691—31no—
199#2688—31no—
200#2686—31no—
201#2676—31no—
202#2671—31no—
203#2668—31no—
204#2668—31no—
205#2564—31no—
206#2535—31no—
207#2481—31no—
208#2464—31no—
209#2449—31no—
210#2449—31no—
211#2437—31no—
212#2430—31no—
213#2427—31no—
214#2424—31no—
215#2424D311yescharacteristic, complemented
216#2416—31no—
217#2407—31no—
218#2406—31no—
219#2404—31no—
220#2325—31no—
221C25×C3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C2×#237—24no—
248C2×#237—42no—
249C2×#237—42no—
250C2×#235—24no—
251C2×#235—42no—
252C2×#235—42no—
253C22×D12C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C22×Dic6C2311yescharacteristic
262C22×Dic6C2311yescharacteristic
263C3×#121—24no—
264C3×#121—42no—
265C3×#120—24no—
266C3×#120—42no—
267C3×C4×D4—42no—
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4—42no—
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C42C2311yescharacteristic
289#953—24no—
290#953—42no—
291C2×#217—24no—
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317#939—24no—
318#939—24no—
319#939—42no—
320#939—42no—
321#939D418yescomplemented
322#938—24no—
323#938—24no—
324#938—24no—
325#938—24no—
326#938—42no—
327#936—24no—
328#935—24no—
329D4×Dic3—24no—
330C4×#67—42no—
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352#924—24no—
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×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372#897—24no—
373#897—42no—
374#894—42no—
375D3×C4⋊C4—24no—
376D3×C4⋊C4—42no—
377#885—24no—
378#884—24no—
379#884—24no—
380#883—24no—
381#67⋊C4—24no—
382#67⋊C4—42no—
383#879—24no—
384#879—24no—
385#878—24no—
386#878—24no—
387#878—24no—
388#878—42no—
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
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C22×#41—31no—
425#538—68no—
426#537—68no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—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×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121C2×D311yescharacteristic
454C2×#121C2×D311yescharacteristic
455C2×#120—31no—
456C2×#120—31no—
457C2×#120C2×D311yescharacteristic
458C2×#120C2×D311yescharacteristic
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4C2×D311yescharacteristic
464C22×C4⋊C4—31no—
465C22×C4⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4C2×D311yescharacteristic
468#400—31no—
469#400—31no—
470#399—31no—
471#399—31no—
472#399—31no—
473#398—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396C2×D311yescharacteristic
490#395—31no—
491#395—31no—
492#395—31no—
493#395—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394C2×D311yescharacteristic
505#394C2×D311yescharacteristic
506#393—31no—
507#393—31no—
508#393—31no—
509#393—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392C2×D311yescharacteristic
516#391—31no—
517#391—31no—
518#390—31no—
519#390—31no—
520#390C2×D311yescharacteristic
521#389—31no—
522#389—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388C2×D311yescharacteristic
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386C2×D311yescharacteristic
554#386C2×D311yescharacteristic
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385C2×D311yescharacteristic
568#382—31no—
569#381—31no—
570#381—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#380—31no—
577#379—31no—
578C4×C22⋊C4—31no—
579C2×#95—31no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—41no—
583C24×C3—41no—
584C24×C3—41no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C2×C3×D4—41no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4C2×D414yes—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67C2×D414yes—
663C2×#67C2×D414yes—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—22no—
667C22×Dic3—41no—
668C22×Dic3—41no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3—41no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3C2×D414yes—
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693#237—416no—
694#235—416no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—41no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×Dic6—22no—
717C2×Dic6—22no—
718C2×Dic6—22no—
719C2×Dic6—22no—
720C2×Dic6—41no—
721C2×Dic6—41no—
722C2×Dic6—41no—
723C2×Dic6—41no—
724C2×Dic6—41no—
725C3×C4⋊C4—22no—
726C3×C4⋊C4—22no—
727C3×C4⋊C4—22no—
728C3×C4⋊C4—41no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—22no—
731C3×C22⋊C4—22no—
732C3×C22⋊C4—22no—
733C3×C22⋊C4—22no—
734C3×C22⋊C4—22no—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—41no—
739C3×C22⋊C4—41no—
740C3×C22⋊C4—41no—
741C3×C22⋊C4—41no—
742C3×C22⋊C4—41no—
743C3×C22⋊C4—41no—
744C3×C42—41no—
745#217—22no—
746#217—22no—
747#217—22no—
748#217—22no—
749#217—22no—
750#217—22no—
751#217—22no—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—41no—
757#217—41no—
758#217—41no—
759#217—41no—
760#217—41no—
761#217—41no—
762#217—41no—
763#217—41no—
764#217—41no—
765#217—41no—
766#217—41no—
767#217—41no—
768#217—41no—
769#217C2×D414yes—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4C2×D414yes—
782C4⋊Dic3—22no—
783C4⋊Dic3—22no—
784C4⋊Dic3—22no—
785C4⋊Dic3—22no—
786C4⋊Dic3—22no—
787C4⋊Dic3—22no—
788C4⋊Dic3—41no—
789C4⋊Dic3—41no—
790C4⋊Dic3—41no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806Dic3⋊C4C2×D414yes—
807C4×Dic3—22no—
808C4×Dic3—22no—
809C4×Dic3—22no—
810C25C22×D311yescharacteristic
811C2×#41—64no—
812C2×#41—64no—
813C2×#41—122no—
814C2×#41—122no—
815C2×#41—122no—
816C2×#41—122no—
817C22×Q8—31no—
818C22×Q8—31no—
819C22×Q8—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4C22×D311yescharacteristic
832C22×D4C22×D311yescharacteristic
833C22×D4C22×D311yescharacteristic
834C22×D4C22×D311yescharacteristic
835C22×D4C22×D311yescharacteristic
836C22×D4C22×D311yescharacteristic
837C22×D4C22×D311yescharacteristic
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—31no—
841C23×C4—31no—
842C23×C4—31no—
843C23×C4—31no—
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4—31no—
848C23×C4—31no—
849C23×C4C22×D311yescharacteristic
850C23×C4C22×D311yescharacteristic
851C23×C4C22×D311yescharacteristic
852#126—64no—
853#126—64no—
854#124—64no—
855#124—64no—
856#123—64no—
857#123—64no—
858#123—122no—
859C22⋊Q8—64no—
860C22⋊Q8—64no—
861C22⋊Q8—64no—
862C22⋊Q8—64no—
863C22⋊Q8—64no—
864C22⋊Q8—122no—
865C22⋊Q8—122no—
866#121—24no—
867#121—38no—
868#121—42no—
869#121—64no—
870#121—64no—
871#121—64no—
872#121—64no—
873#121—64no—
874#121—64no—
875#121—64no—
876#121—64no—
877#121—122no—
878#121—122no—
879#121—122no—
880#120—24no—
881#120—42no—
882#120—64no—
883#120—122no—
884C4×D4—42no—
885C4×D4—64no—
886C4×D4—64no—
887C4×D4—122no—
888C4×D4—122no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—64no—
915C2×C4⋊C4—122no—
916C2×C4⋊C4C22×D311yescharacteristic
917C2×C4⋊C4C22×D311yescharacteristic
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
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⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—42no—
958C2×C22⋊C4—64no—
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C22⋊C4C22×D311yescharacteristic
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C22⋊C4C22×D311yescharacteristic
967C2×C22⋊C4C22×D311yescharacteristic
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C22⋊C4C22×D311yescharacteristic
970C2×C22⋊C4C22×D311yescharacteristic
971C2×C22⋊C4C22×D311yescharacteristic
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C42—31no—
975C2×C42—31no—
976C2×C42—31no—
977C2×C42C22×D311yescharacteristic
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—44no—
1045C23×C3—44no—
1046C23×C3—82no—
1047C23×C3—82no—
1048C23×C3—82no—
1049C23×C3—82no—
1050C23×C3—82no—
1051C23×C3C22×D412yes—
1052C23×C3C22×D412yes—
1053C23×C32−1+412yes—
1054C23×C3C2511yescharacteristic
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3C22×D412yes—
1068C22×D3H(5,𝔽2)12yes—
1069C3×D4—44no—
1070C3×D4—44no—
1071C3×D4—44no—
1072C3×D4—82no—
1073C3×D4—82no—
1074C3×D4—82no—
1075C3×D4—82no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—44no—
1104C2×C3×C4—82no—
1105C2×C3×C4—82no—
1106C2×C3×C4C22×D412yes—
1107C2×C3×C4H(5,𝔽2)12yes—
1108C2×C3×C4H(5,𝔽2)12yes—
1109#67—44no—
1110#67—44no—
1111#67—44no—
1112#67—44no—
1113#67—44no—
1114#67—44no—
1115#67—44no—
1116#67—82no—
1117#67—82no—
1118#67—82no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—44no—
1159C2×Dic3—44no—
1160C2×Dic3—82no—
1161C2×Dic3—82no—
1162C2×Dic3—82no—
1163C2×Dic3C22×D412yes—
1164C2×Dic3C22×D412yes—
1165C2×Dic3C22×D412yes—
1166D12—44no—
1167C4×D3—28no—
1168C4×D3—44no—
1169C4×D3—44no—
1170C4×D3—82no—
1171C4×D3—82no—
1172C4×D3—82no—
1173Dic6—44no—
1174Dic6—44no—
1175Dic6—82no—
1176C24—22no—
1177C24—22no—
1178C24—31no—
1179C24—31no—
1180C24—41no—
1181C24—41no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24C23×D311yescharacteristic
1186C24C23×D311yescharacteristic
1187C24C23×D311yescharacteristic
1188C24C23×D311yescharacteristic
1189C24C23×D311yescharacteristic
1190#41—1216no—
1191#41—1216no—
1192C2×Q8—62no—
1193C2×Q8—62no—
1194C2×Q8—62no—
1195C2×Q8—62no—
1196C2×Q8—121no—
1197C2×Q8—121no—
1198C2×Q8—121no—
1199C2×Q8—121no—
1200C2×Q8—121no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—34no—
1210C2×D4—34no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4—62no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—121no—
1253C2×D4—121no—
1254C2×D4D3×D414yes—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—31no—
1259C22×C4—31no—
1260C22×C4—31no—
1261C22×C4—34no—
1262C22×C4—31no—
1263C22×C4—31no—
1264C22×C4—31no—
1265C22×C4—31no—
1266C22×C4—31no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—31no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—62no—
1280C22×C4—62no—
1281C22×C4—62no—
1282C22×C4—62no—
1283C22×C4—62no—
1284C22×C4—62no—
1285C22×C4—62no—
1286C22×C4—62no—
1287C22×C4—62no—
1288C22×C4—62no—
1289C22×C4—62no—
1290C22×C4—62no—
1291C22×C4—121no—
1292C22×C4—121no—
1293C22×C4—121no—
1294C22×C4—121no—
1295C22×C4—121no—
1296C22×C4—121no—
1297C22×C4—121no—
1298C22×C4—121no—
1299C22×C4—121no—
1300C22×C4—121no—
1301C22×C4—121no—
1302C22×C4—121no—
1303C22×C4—121no—
1304C22×C4—121no—
1305C22×C4—121no—
1306C22×C4—121no—
1307C22×C4—121no—
1308C22×C4—121no—
1309C22×C4—121no—
1310C22×C4—121no—
1311C22×C4C23×D311yescharacteristic
1312C22×C4C23×D311yescharacteristic
1313C22×C4C23×D311yescharacteristic
1314C22×C4C23×D311yescharacteristic
1315C22×C4C23×D311yescharacteristic
1316C22×C4C23×D311yescharacteristic
1317C22×C4C23×D311yescharacteristic
1318C22×C4C23×D311yescharacteristic
1319C22×C4C23×D311yescharacteristic
1320C22×C4C23×D311yescharacteristic
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—34no—
1325C4⋊C4—41no—
1326C4⋊C4—62no—
1327C4⋊C4—62no—
1328C4⋊C4—62no—
1329C4⋊C4—62no—
1330C4⋊C4—62no—
1331C4⋊C4—62no—
1332C4⋊C4—62no—
1333C4⋊C4—62no—
1334C4⋊C4—62no—
1335C4⋊C4—62no—
1336C4⋊C4—62no—
1337C4⋊C4—62no—
1338C4⋊C4—62no—
1339C4⋊C4—121no—
1340C4⋊C4—121no—
1341C4⋊C4—121no—
1342C4⋊C4—121no—
1343C4⋊C4—121no—
1344C4⋊C4—121no—
1345C4⋊C4—121no—
1346C4⋊C4—121no—
1347C4⋊C4—121no—
1348C4⋊C4—121no—
1349C4⋊C4—121no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—34no—
1360C22⋊C4—34no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—121no—
1384C22⋊C4—121no—
1385C22⋊C4—121no—
1386C22⋊C4—121no—
1387C22⋊C4—121no—
1388C22⋊C4—121no—
1389C22⋊C4—121no—
1390C22⋊C4—121no—
1391C22⋊C4—121no—
1392C22⋊C4—121no—
1393C22⋊C4—121no—
1394C22⋊C4—121no—
1395C22⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C42—41no—
1403C42—62no—
1404C42—62no—
1405C42—62no—
1406C22×C3—22no—
1407C22×C3—22no—
1408C22×C3—22no—
1409C22×C3—22no—
1410C22×C3—22no—
1411C22×C3—22no—
1412C22×C3—22no—
1413C22×C3—22no—
1414C22×C3—22no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3—41no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—41no—
1427C22×C3—41no—
1428C22×C3—41no—
1429C22×C3—41no—
1430C22×C3—41no—
1431C22×C3—41no—
1432C22×C3—41no—
1433C22×C3—41no—
1434C22×C3—41no—
1435C22×C3—41no—
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3—41no—
1439C22×C3—41no—
1440C22×C3—41no—
1441C22×C3—88no—
1442C22×C3C23×D411yescharacteristic
1443C22×C3C2×H(5,𝔽2)11yescharacteristic
1444C22×C3C2×H(5,𝔽2)11yescharacteristic
1445C22×C3C2×H(5,𝔽2)11yescharacteristic
1446C22×C3C2×2−1+411yescharacteristic
1447C22×C3#58511yescharacteristic
1448C22×C3#58511yescharacteristic
1449C2×D3—22no—
1450C2×D3—22no—
1451C2×D3—22no—
1452C2×D3—22no—
1453C2×D3—22no—
1454C2×D3—22no—
1455C2×D3—41no—
1456C2×D3—41no—
1457C2×D3—41no—
1458C2×D3—41no—
1459C2×D3—41no—
1460C2×D3—41no—
1461C2×D3—41no—
1462C2×D3—41no—
1463C3×C4—22no—
1464C3×C4—22no—
1465C3×C4—22no—
1466C3×C4—41no—
1467C3×C4—41no—
1468C3×C4—41no—
1469C3×C4—41no—
1470C3×C4—41no—
1471C3×C4—41no—
1472C3×C4—41no—
1473Dic3—22no—
1474Dic3—22no—
1475Dic3—22no—
1476Dic3—41no—
1477Dic3—41no—
1478Dic3—41no—
1479Dic3—41no—
1480Dic3—41no—
1481Dic3—41no—
1482Dic3—41no—
1483Dic3—41no—
1484Dic3—41no—
1485Dic3—41no—
1486Dic3—41no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—32no—
1520C23—32no—
1521C23—44no—
1522C23—44no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—61no—
1534C23—61no—
1535C23—82no—
1536C23—82no—
1537C23—82no—
1538C23—82no—
1539C23—82no—
1540C23C2×D3×D412yes—
1541C23C2×D3×D412yes—
1542C23#101012yes—
1543C23C24×D311yescharacteristic
1544Q8—124no—
1545Q8—124no—
1546Q8—242no—
1547D4—44no—
1548D4—44no—
1549D4—44no—
1550D4—82no—
1551D4—82no—
1552D4—82no—
1553D4—82no—
1554D4—124no—
1555D4—124no—
1556D4—124no—
1557D4—124no—
1558D4—124no—
1559D4—124no—
1560D4—124no—
1561D4—124no—
1562D4—242no—
1563D4—242no—
1564D4—242no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—32no—
1593C2×C4—32no—
1594C2×C4—32no—
1595C2×C4—44no—
1596C2×C4—68no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—61no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—82no—
1637C2×C4—82no—
1638C2×C4—124no—
1639C2×C4—124no—
1640C2×C4—124no—
1641C2×C4—124no—
1642C2×C4—242no—
1643C2×C4—242no—
1644C2×C4—242no—
1645C2×C4—242no—
1646C2×C4—242no—
1647C2×C4—242no—
1648C2×C4C2×D3×D412yes—
1649C2×C4#100412yes—
1650C2×C4#100412yes—
1651C2×C3—42no—
1652C2×C3—42no—
1653C2×C3—42no—
1654C2×C3—81no—
1655C2×C3—81no—
1656C2×C3#348411yescharacteristic
1657C2×C3#348911yescharacteristic
1658C2×C3#349611yescharacteristic
1659C2×C3#353611yescharacteristic
1660C2×C3#354111yescharacteristic
1661C2×C3#354211yescharacteristic
1662C2×C3#356011yescharacteristic
1663D3—42no—
1664D3—42no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—62no—
1701C22—62no—
1702C22—62no—
1703C22—62no—
1704C22—62no—
1705C22—62no—
1706C22—88no—
1707C22—121no—
1708C22—121no—
1709C22—121no—
1710C22—121no—
1711C22—121no—
1712C22—121no—
1713C22—121no—
1714C22—121no—
1715C22C22×D3×D411yescharacteristic
1716C22C2×#100411yescharacteristic
1717C22C2×#100411yescharacteristic
1718C22C2×#101011yescharacteristic
1719C22#596411yescharacteristic
1720C22D3×H(5,𝔽2)11yescharacteristic
1721C22#596611yescharacteristic
1722C4—22no—
1723C4—22no—
1724C4—22no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—62no—
1733C4—62no—
1734C4—62no—
1735C4—121no—
1736C4—121no—
1737C4—121no—
1738C4—121no—
1739C4—121no—
1740C4—121no—
1741C4—121no—
1742C4—121no—
1743C4—121no—
1744C4—121no—
1745C4—121no—
1746C3#4636611yescharacteristic, complemented, Sylow
1747C2—42no—
1748C2—42no—
1749C2—42no—
1750C2—81no—
1751C2—81no—
1752C2—122no—
1753C2—122no—
1754C2#8595011yescharacteristic
1755C2#8605711yescharacteristic
1756C2#8642611yescharacteristic
1757C2#8661511yescharacteristic
1758C2#8662011yescharacteristic
1759C2#8663011yescharacteristic
1760C2#8667011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2424C2
hypercenter#2424D3
hypocenterC3#46366
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#5608C2semidirect
2. C2×#5593C2semidirect
3. C3×#2424C2semidirect
4. #82687C2semidirect
5. #82651C2semidirect
6. #82641C2semidirect
7. #82608C2semidirect
8. #82608C2semidirect
9. #82586C2semidirect
10. #82408C2semidirect
11. #82327C2semidirect
12. #82125C2semidirect
13. #82110C2semidirect
14. #77419C2semidirect
15. #77419C2semidirect
16. #77131C2semidirect
17. #77084C2semidirect
18. #77041C2semidirect
19. #77003C2semidirect
20. #76773C2semidirect
21. #76668C2semidirect
22. #76447C2semidirect
23. #76382C2semidirect
24. #75925C2semidirect
25. #75542C2semidirect
26. #74927C2semidirect
27. #74801C2semidirect
28. #74763C2semidirect
29. #74751C2semidirect
30. #74600C2semidirect
31. #74521C2semidirect
33. C22×#237C22semidirect
53. C2×#938C22semidirect
57. C2×C4×#67C22semidirect
61. C2×#897C22semidirect
62. C2×#897C22semidirect
63. C2×#894C22semidirect
64. C2×D3×C4⋊C4C22semidirect
65. C2×D3×C4⋊C4C22semidirect
67. C2×#884C22semidirect
68. C2×#884C22semidirect
76. C2×#878C22semidirect
77. C2×#878C22semidirect
94. #5222C22semidirect
101. #5220C22semidirect
104. #5213C22semidirect
106. #5212C22semidirect
110. C2×C3⋊#95C22semidirect
111. #4989C22semidirect
112. #4989C22semidirect
113. #4984C22semidirect
114. #4984C22semidirect
115. #4983C22semidirect
116. #4982C22semidirect
117. #4979C22semidirect
118. #4979C22semidirect
119. #4979C22semidirect
120. #4978C22semidirect
121. #4978C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
129. #4959C22semidirect
130. #4958C22semidirect
131. #4957C22semidirect
141. #4956C22semidirect
144. #4953C22semidirect
147. #4952C22semidirect
148. #4952C22semidirect
151. #4950C22semidirect
158. #4948C22semidirect
162. #4947C22semidirect
164. #4946C22semidirect
166. #4944C22semidirect
168. #4942C22semidirect
169. #4942C22semidirect
170. #4940C22semidirect
171. C4×(C2×D3)⋊C4C22semidirect
172. #4933C22semidirect
173. #4929C22semidirect
174. #4675C22semidirect
175. #4668C22semidirect
176. #4668C22semidirect
177. #4668C22semidirect
178. #4667C22semidirect
179. #4665C22semidirect
180. #4664C22semidirect
181. #4660C22semidirect
182. #4660C22semidirect
183. #4657C22semidirect
184. #4657C22semidirect
185. #4656C22semidirect
186. #4655C22semidirect
187. #4654C22semidirect
188. #4650C22semidirect
189. #4646C22semidirect
215. #2424D3semidirect
321. #939D4semidirect
1746. C3#46366semidirect

Maximal subgroups

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

subgroupindex
C2×#56082
C2×#55932
C3×#24242
#826872
#826512
#826412
#826082
#825862
#824082
#823272
#821252
#821102
#774192
#771312
#770842
#770412
#770032
#767732
#766682
#764472
#763822
#759252
#755422
#749272
#748012
#747632
#747512
#746002
#745212
#463663