Finite Group Databasebeta

← #11235558

Subgroups — #11235558

Order 768.

2564 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5667C211yesmaximal, characteristic, complemented
2C2×#5586C211yesmaximal, characteristic, complemented
3C3×#2678C211yesmaximal, characteristic, complemented
4#82854C211yesmaximal, characteristic, complemented
5#82718C211yesmaximal, characteristic, complemented
6#82647C211yesmaximal, characteristic, complemented
7#82610C211yesmaximal, characteristic, complemented
8#82601C211yesmaximal, characteristic, complemented
9#82595C211yesmaximal, characteristic, complemented
10#77672C211yesmaximal, characteristic, complemented
11#77573C211yesmaximal, characteristic, complemented
12#77433C211yesmaximal, characteristic, complemented
13#77420C211yesmaximal, characteristic, complemented
14#77132C211yesmaximal, characteristic, complemented
15#77084C211yesmaximal, characteristic, complemented
16#76916C211yesmaximal, characteristic, complemented
17#76894C211yesmaximal, characteristic, complemented
18#76757C211yesmaximal, characteristic, complemented
19#76741C211yesmaximal, characteristic, complemented
20#76715C211yesmaximal, characteristic, complemented
21#76677C211yesmaximal, characteristic, complemented
22#76465C211yesmaximal, characteristic, complemented
23#76387C211yesmaximal, characteristic, complemented
24#76327C211yesmaximal, characteristic, complemented
25#76325C211yesmaximal, characteristic, complemented
26#75529C211yesmaximal, characteristic, complemented
27#75489C211yesmaximal, characteristic, complemented
28#74803C211yesmaximal, characteristic, complemented
29#74719C211yesmaximal, characteristic, complemented
30#73857C211yesmaximal, characteristic, complemented
31#73846C211yesmaximal, characteristic, complemented
32#45451—31nomaximal, Sylow
33C24×Dic3C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#938C2211yescharacteristic
47C2×#938C2211yescharacteristic, complemented
48C2×#936C2211yescharacteristic
49C2×#935C2211yescharacteristic
50C2×D4×Dic3C2211yescharacteristic
51C2×D4×Dic3C2211yescharacteristic
52C2×#930C2211yescharacteristic, complemented
53C2×#924C2211yescharacteristic, complemented
54#5667—28no—
55#5586—28no—
56C2×#897C2211yescharacteristic, complemented
57C2×#896C2211yescharacteristic, complemented
58C2×#896C2211yescharacteristic, complemented
59C2×#894C2211yescharacteristic, complemented
60C2×#890C2211yescharacteristic, complemented
61C2×#886C2211yescharacteristic
62C2×#885C2211yescharacteristic
63C2×#885C2211yescharacteristic, complemented
64C2×#884C2211yescharacteristic
65C2×#884C2211yescharacteristic
66C2×#883C2211yescharacteristic
67C2×#883C2211yescharacteristic, complemented
68C2×#883C2211yescharacteristic, complemented
69C2×#67⋊C4C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic
71C2×#67⋊C4C2211yescharacteristic, complemented
72C2×#878C2211yescharacteristic
73C2×#878C2211yescharacteristic
74C2×#878C2211yescharacteristic
75C2×#878C2211yescharacteristic
76C2×#878C2211yescharacteristic
77C2×#877C2211yescharacteristic
78C3×#397C2211yescharacteristic
79C3×#396C2211yescharacteristic
80C3×#394C2211yescharacteristic
81C3×#394C2211yescharacteristic
82C3×#392C2211yescharacteristic
83C3×#392C2211yescharacteristic
84C3×#390C2211yescharacteristic
85C3×#390C2211yescharacteristic
86C3×#388C2211yescharacteristic
87C3×#386C2211yescharacteristic
88C3×#379C2211yescharacteristic
89#5247C2211yescharacteristic
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic, complemented
96#5222C2211yescharacteristic
97#5222C2211yescharacteristic
98#5222C2211yescharacteristic
99#5222C2211yescharacteristic, complemented
100#5221C2211yescharacteristic
101#5221C2211yescharacteristic
102#5220C2211yescharacteristic
103#5220C2211yescharacteristic
104#5220C2211yescharacteristic
105#5220C2211yescharacteristic, complemented
106#5210C2211yescharacteristic, complemented
107C4×#217C2211yescharacteristic, complemented
108#4994C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4985C2211yescharacteristic, complemented
112#4983C2211yescharacteristic, complemented
113#4979C2211yescharacteristic, complemented
114#4978C2211yescharacteristic, complemented
115#4976C2211yescharacteristic, complemented
116#4973C2211yescharacteristic, complemented
117#4972C2211yescharacteristic, complemented
118#4972C2211yescharacteristic, complemented
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic
121#4961C2211yescharacteristic
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic, complemented
124#4959C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4959C2211yescharacteristic, complemented
127#4958C2211yescharacteristic
128#4958C2211yescharacteristic
129#4958C2211yescharacteristic
130#4957C2211yescharacteristic
131#4957C2211yescharacteristic
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic
135#4956C2211yescharacteristic
136#4956C2211yescharacteristic
137#4956C2211yescharacteristic, complemented
138#4953C2211yescharacteristic
139#4952C2211yescharacteristic
140#4952C2211yescharacteristic
141#4952C2211yescharacteristic, complemented
142#4951C2211yescharacteristic
143#4951C2211yescharacteristic
144#4950C2211yescharacteristic
145#4950C2211yescharacteristic
146#4950C2211yescharacteristic
147#4950C2211yescharacteristic, complemented
148#4949C2211yescharacteristic
149#4949C2211yescharacteristic, complemented
150#4948C2211yescharacteristic
151#4948C2211yescharacteristic, complemented
152#4948C2211yescharacteristic, complemented
153#4948C2211yescharacteristic, complemented
154#4948C2211yescharacteristic, complemented
155#4947C2211yescharacteristic
156#4947C2211yescharacteristic, complemented
157#4947C2211yescharacteristic, complemented
158#4946C2211yescharacteristic
159#4946C2211yescharacteristic
160#4946C2211yescharacteristic
161#4944C2211yescharacteristic
162#4944C2211yescharacteristic, complemented
163#4942C2211yescharacteristic
164#4942C2211yescharacteristic
165#4942C2211yescharacteristic
166#4942C2211yescharacteristic
167#4942C2211yescharacteristic
168#4942C2211yescharacteristic
169#4942C2211yescharacteristic, complemented
170#4940C2211yescharacteristic, complemented
171#4940C2211yescharacteristic, complemented
172C4×C4⋊Dic3C2211yescharacteristic, complemented
173#4928C2211yescharacteristic, complemented
174#4676C2211yescharacteristic, complemented
175#4670C2211yescharacteristic, complemented
176#4670C2211yescharacteristic, complemented
177#4669C2211yescharacteristic, complemented
178#4668C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180D3×#95C2211yescharacteristic, complemented
181#4658C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#562—31no—
191C2×#525—31no—
192#2848—31no—
193#2847—31no—
194#2814—31no—
195#2813—31no—
196#2703—31no—
197#2692—31no—
198#2690—31no—
199#2683—31no—
200#2681—31no—
201#2678—31no—
202#2678D311yescharacteristic, complemented
203#2676—31no—
204#2675—31no—
205#2672—31no—
206#2670—31no—
207#2668—31no—
208#2474—31no—
209#2470—31no—
210#2464—31no—
211#2463—31no—
212#2461—31no—
213#2456—31no—
214#2454—31no—
215#2450—31no—
216#2430—31no—
217#2427—31no—
218#2425—31no—
219#2407—31no—
220#2376—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
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C23×Dic3—24no—
241C23×Dic3—42no—
242C23×Dic3—42no—
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C2×#237—24no—
251C2×#237—42no—
252C2×#237—42no—
253C22×D12C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×Dic6C2311yescharacteristic
259C22×Dic6C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C3×#123—24no—
262C3×#121—42no—
263C3×#120—24no—
264C3×#120—42no—
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊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
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×C42C2311yescharacteristic
287#953—24no—
288#953—42no—
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
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
312#939—24no—
313#939—24no—
314#939—24no—
315#939—42no—
316#939—42no—
317#938—24no—
318#938—42no—
319#936—42no—
320#935—24no—
321D4×Dic3—24no—
322D4×Dic3—24no—
323#930—24no—
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347#924—24no—
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×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371#897—24no—
372#896—24no—
373#896—42no—
374#894—24no—
375#890—24no—
376#886D418yescomplemented
377#885—24no—
378#885—24no—
379#884—24no—
380#884—42no—
381#883—24no—
382#883—42no—
383#883—42no—
384#67⋊C4—24no—
385#67⋊C4—24no—
386#67⋊C4—42no—
387#878—24no—
388#878—24no—
389#878—24no—
390#878—42no—
391#878—42no—
392#877—24no—
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—
424C24×C4—31no—
425#562—68no—
426C2×#125—31no—
427C2×#124—31no—
428C2×#124—31no—
429C2×#124—31no—
430#525—68no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123C2×D311yescharacteristic
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121C2×D311yescharacteristic
458C2×#120—31no—
459C2×#120—31no—
460C2×#120C2×D311yescharacteristic
461C2×#120C2×D311yescharacteristic
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×#117—31no—
468#400—31no—
469#400—31no—
470#399—31no—
471#399—31no—
472#398—31no—
473#398—31no—
474#398—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397C2×D311yescharacteristic
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396C2×D311yescharacteristic
488#395—31no—
489#395—31no—
490#395—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394C2×D311yescharacteristic
502#394C2×D311yescharacteristic
503#393—31no—
504#393—31no—
505#393—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392C2×D311yescharacteristic
515#392C2×D311yescharacteristic
516#391—31no—
517#391—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390C2×D311yescharacteristic
523#390C2×D311yescharacteristic
524#389—31no—
525#389—31no—
526#389—31no—
527#389—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388C2×D311yescharacteristic
538#387—31no—
539#387—31no—
540#387—31no—
541#387—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#386—31no—
554#386—31no—
555#386—31no—
556#386C2×D311yescharacteristic
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#385—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#379—31no—
576#379C2×D311yescharacteristic
577C4×C4⋊C4—31no—
578C4×C22⋊C4—31no—
579C2×#95—31no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
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×D4—41no—
615C22×C3×C4—22no—
616C22×C3×C4—41no—
617C22×C3×C4—41no—
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
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—22no—
637C2×#67—22no—
638C2×#67—22no—
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×#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×#67C2×D414yes—
658C22×Dic3—22no—
659C22×Dic3—22no—
660C22×Dic3—22no—
661C22×Dic3—22no—
662C22×Dic3—22no—
663C22×Dic3—22no—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—22no—
667C22×Dic3—22no—
668C22×Dic3—22no—
669C22×Dic3—22no—
670C22×Dic3—22no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3—41no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3—416no—
679C22×Dic3C2×D414yes—
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
693C22×Dic3C2411yescharacteristic
694#237—416no—
695C2×D12—22no—
696C2×D12—41no—
697C2×D12—41no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×Dic6—22no—
711C2×Dic6—22no—
712C2×Dic6—22no—
713C2×Dic6—22no—
714C2×Dic6—41no—
715C2×Dic6—41no—
716C2×Dic6—41no—
717C2×Dic6—41no—
718C2×Dic6—41no—
719C3×C4⋊C4—22no—
720C3×C4⋊C4—22no—
721C3×C4⋊C4—41no—
722C3×C4⋊C4—41no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—41no—
730C3×C22⋊C4—41no—
731C3×C22⋊C4—41no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4—41no—
735C3×C22⋊C4—41no—
736C3×C22⋊C4—41no—
737C3×C22⋊C4—41no—
738C3×C22⋊C4—41no—
739C3×C22⋊C4C2×D414yes—
740C3×C42—41no—
741#217—22no—
742#217—22no—
743#217—22no—
744#217—22no—
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—41no—
754#217—41no—
755#217—41no—
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(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4C2×D414yes—
777(C2×D3)⋊C4C2×D414yes—
778C4⋊Dic3—22no—
779C4⋊Dic3—22no—
780C4⋊Dic3—22no—
781C4⋊Dic3—22no—
782C4⋊Dic3—41no—
783C4⋊Dic3—41no—
784C4⋊Dic3—41no—
785C4⋊Dic3C2×D414yes—
786C4⋊Dic3C2×D414yes—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—41no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4—41no—
805C4×Dic3—22no—
806C4×Dic3—22no—
807C4×Dic3—22no—
808C4×Dic3—41no—
809C4×Dic3—41no—
810C25C22×D311yescharacteristic
811C2×#41—64no—
812C2×#41—122no—
813C2×#41—122no—
814C22×Q8—31no—
815C22×Q8—31no—
816C22×Q8—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—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×D4C22×D311yescharacteristic
829C22×D4C22×D311yescharacteristic
830C22×D4C22×D311yescharacteristic
831C22×D4C22×D311yescharacteristic
832C22×D4C22×D311yescharacteristic
833C22×D4C22×D311yescharacteristic
834C22×D4C22×D311yescharacteristic
835C23×C4—31no—
836C23×C4—31no—
837C23×C4—31no—
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—64no—
847C23×C4—122no—
848C23×C4—122no—
849C23×C4C22×D311yescharacteristic
850#125—64no—
851#124—64no—
852#124—64no—
853#124—122no—
854#123—24no—
855#123—38no—
856#123—64no—
857#123—64no—
858#123—64no—
859#123—122no—
860#123—122no—
861C22⋊Q8—64no—
862C22⋊Q8—64no—
863C22⋊Q8—64no—
864C22⋊Q8—64no—
865C22⋊Q8—64no—
866C22⋊Q8—64no—
867C22⋊Q8—122no—
868C22⋊Q8—122no—
869C22⋊Q8—122no—
870#121—42no—
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#121—122no—
881#120—24no—
882#120—42no—
883#120—64no—
884#120—122no—
885C4×D4—64no—
886C4×D4—64no—
887C4×D4—64no—
888C4×D4—64no—
889C4×D4—122no—
890#117—64no—
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—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
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—31no—
958C2×C22⋊C4—31no—
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×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C42—31no—
977C2×C42—31no—
978C2×C42—31no—
979C2×C42—31no—
980C2×C42—31no—
981C2×C42C22×D311yescharacteristic
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—44no—
1047C23×C3—44no—
1048C23×C3—44no—
1049C23×C3—44no—
1050C23×C3—44no—
1051C23×C3C22×D412yes—
1052C23×C3H(5,𝔽2)12yes—
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×D3—21no—
1068C22×D3C22×D412yes—
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—21no—
1104C2×C3×C4—82no—
1105C2×C3×C4C22×D412yes—
1106C2×C3×C4C22×D412yes—
1107#67—44no—
1108#67—44no—
1109#67—44no—
1110#67—44no—
1111#67—44no—
1112#67—82no—
1113#67—82no—
1114#67—82no—
1115#67—82no—
1116#67—82no—
1117C2×Dic3—28no—
1118C2×Dic3—21no—
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—44no—
1156C2×Dic3—44no—
1157C2×Dic3—44no—
1158C2×Dic3—44no—
1159C2×Dic3—44no—
1160C2×Dic3—44no—
1161C2×Dic3C22×D412yes—
1162C2×Dic3C22×D412yes—
1163C2×Dic3C22×D412yes—
1164C2×Dic3H(5,𝔽2)12yes—
1165C2×Dic3H(5,𝔽2)12yes—
1166D12—82no—
1167C4×D3—44no—
1168C4×D3—82no—
1169C4×D3—82no—
1170C4×D3—82no—
1171Dic6—44no—
1172Dic6—82no—
1173Dic6—82no—
1174C24—22no—
1175C24—22no—
1176C24—22no—
1177C24—31no—
1178C24—31no—
1179C24—41no—
1180C24—41no—
1181C24—41no—
1182C24—41no—
1183C24C23×D311yescharacteristic
1184C24C23×D311yescharacteristic
1185C24C23×D311yescharacteristic
1186C24C23×D311yescharacteristic
1187C24C23×D311yescharacteristic
1188#41—1216no—
1189C2×Q8—62no—
1190C2×Q8—62no—
1191C2×Q8—62no—
1192C2×Q8—62no—
1193C2×Q8—121no—
1194C2×Q8—121no—
1195C2×Q8—121no—
1196C2×Q8—121no—
1197C2×Q8—121no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—34no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
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—62no—
1221C2×D4—62no—
1222C2×D4—62no—
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—121no—
1233C2×D4—121no—
1234C2×D4—121no—
1235C2×D4—121no—
1236C2×D4—121no—
1237C2×D4—121no—
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—
1252C22×C4—22no—
1253C22×C4—31no—
1254C22×C4—31no—
1255C22×C4—31no—
1256C22×C4—31no—
1257C22×C4—31no—
1258C22×C4—34no—
1259C22×C4—31no—
1260C22×C4—31no—
1261C22×C4—31no—
1262C22×C4—31no—
1263C22×C4—31no—
1264C22×C4—31no—
1265C22×C4—31no—
1266C22×C4—31no—
1267C22×C4—31no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—62no—
1271C22×C4—62no—
1272C22×C4—62no—
1273C22×C4—62no—
1274C22×C4—62no—
1275C22×C4—62no—
1276C22×C4—62no—
1277C22×C4—62no—
1278C22×C4—62no—
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—121no—
1288C22×C4—121no—
1289C22×C4—121no—
1290C22×C4—121no—
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—1216no—
1303C22×C4C23×D311yescharacteristic
1304C22×C4C23×D311yescharacteristic
1305C22×C4C23×D311yescharacteristic
1306C22×C4C23×D311yescharacteristic
1307C22×C4C23×D311yescharacteristic
1308C22×C4C23×D311yescharacteristic
1309C22×C4C23×D311yescharacteristic
1310C22×C4C23×D311yescharacteristic
1311C22×C4C23×D311yescharacteristic
1312C22×C4C23×D311yescharacteristic
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—34no—
1316C4⋊C4—34no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—62no—
1320C4⋊C4—62no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—62no—
1325C4⋊C4—62no—
1326C4⋊C4—62no—
1327C4⋊C4—62no—
1328C4⋊C4—62no—
1329C4⋊C4—62no—
1330C4⋊C4—62no—
1331C4⋊C4—62no—
1332C4⋊C4—62no—
1333C4⋊C4—121no—
1334C4⋊C4—121no—
1335C4⋊C4—121no—
1336C4⋊C4—121no—
1337C4⋊C4—121no—
1338C4⋊C4—121no—
1339C4⋊C4—121no—
1340C4⋊C4—121no—
1341C4⋊C4—121no—
1342C4⋊C4—121no—
1343C4⋊C4—121no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—34no—
1351C22⋊C4—34no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
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—121no—
1381C22⋊C4—121no—
1382C22⋊C4—121no—
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⋊C4D3×D414yes—
1398C42—41no—
1399C42—62no—
1400C42—62no—
1401C42—62no—
1402C42—121no—
1403C42—121no—
1404C22×C3—22no—
1405C22×C3—22no—
1406C22×C3—22no—
1407C22×C3—22no—
1408C22×C3—22no—
1409C22×C3—22no—
1410C22×C3—22no—
1411C22×C3—22no—
1412C22×C3—22no—
1413C22×C3—416no—
1414C22×C3—41no—
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×C3C23×D411yescharacteristic
1441C22×C3C2×H(5,𝔽2)11yescharacteristic
1442C22×C3C2×H(5,𝔽2)11yescharacteristic
1443C22×C3C2×H(5,𝔽2)11yescharacteristic
1444C22×C3C2×2−1+411yescharacteristic
1445C22×C3#58511yescharacteristic
1446C22×C3#58511yescharacteristic
1447C2×D3—22no—
1448C2×D3—22no—
1449C2×D3—22no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C2×D3—41no—
1453C2×D3—41no—
1454C2×D3—41no—
1455C2×D3—41no—
1456C2×D3—41no—
1457C2×D3—41no—
1458C2×D3—41no—
1459C2×D3—41no—
1460C2×D3—41no—
1461C3×C4—22no—
1462C3×C4—22no—
1463C3×C4—41no—
1464C3×C4—41no—
1465C3×C4—41no—
1466C3×C4—41no—
1467C3×C4—41no—
1468C3×C4—41no—
1469C3×C4—41no—
1470C3×C4—41no—
1471Dic3—22no—
1472Dic3—22no—
1473Dic3—22no—
1474Dic3—22no—
1475Dic3—22no—
1476Dic3—41no—
1477Dic3—41no—
1478Dic3—41no—
1479Dic3—41no—
1480Dic3—41no—
1481Dic3—41no—
1482Dic3—41no—
1483Dic3—41no—
1484Dic3—41no—
1485C23—21no—
1486C23—21no—
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—32no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23—44no—
1522C23—44no—
1523C23—44no—
1524C23—44no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—61no—
1534C23—61no—
1535C23—61no—
1536C23—61no—
1537C23—61no—
1538C23C2×D3×D412yes—
1539C23#100412yes—
1540C23#101012yes—
1541C23C24×D311yescharacteristic
1542Q8—124no—
1543Q8—242no—
1544Q8—242no—
1545D4—44no—
1546D4—44no—
1547D4—44no—
1548D4—82no—
1549D4—82no—
1550D4—82no—
1551D4—82no—
1552D4—124no—
1553D4—124no—
1554D4—124no—
1555D4—124no—
1556D4—124no—
1557D4—242no—
1558D4—242no—
1559D4—242no—
1560D4—242no—
1561D4—242no—
1562D4—242no—
1563C2×C4—21no—
1564C2×C4—21no—
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—32no—
1592C2×C4—32no—
1593C2×C4—32no—
1594C2×C4—32no—
1595C2×C4—32no—
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—82no—
1635C2×C4—124no—
1636C2×C4—124no—
1637C2×C4—124no—
1638C2×C4—124no—
1639C2×C4—124no—
1640C2×C4—124no—
1641C2×C4—124no—
1642C2×C4—242no—
1643C2×C4—242no—
1644C2×C4—242no—
1645C2×C4C2×D3×D412yes—
1646C2×C4C2×D3×D412yes—
1647C2×C3—42no—
1648C2×C3—42no—
1649C2×C3—42no—
1650C2×C3—81no—
1651C2×C3—81no—
1652C2×C3#348411yescharacteristic
1653C2×C3#348811yescharacteristic
1654C2×C3#348911yescharacteristic
1655C2×C3#352911yescharacteristic
1656C2×C3#353611yescharacteristic
1657C2×C3#354111yescharacteristic
1658C2×C3#354211yescharacteristic
1659D3—42no—
1660D3—81no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—416no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
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—62no—
1698C22—62no—
1699C22—62no—
1700C22—121no—
1701C22—121no—
1702C22—121no—
1703C22—121no—
1704C22—121no—
1705C22—121no—
1706C22—121no—
1707C22—121no—
1708C22—121no—
1709C22—121no—
1710C22—121no—
1711C22C22×D3×D411yescharacteristic
1712C22C2×#100411yescharacteristic
1713C22C2×#101011yescharacteristic
1714C22D3×H(5,𝔽2)11yescharacteristic
1715C22D3×H(5,𝔽2)11yescharacteristic
1716C22#596611yescharacteristic
1717C22#596611yescharacteristic
1718C4—22no—
1719C4—22no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—62no—
1729C4—62no—
1730C4—62no—
1731C4—62no—
1732C4—62no—
1733C4—121no—
1734C4—121no—
1735C4—121no—
1736C4—121no—
1737C4—121no—
1738C4—121no—
1739C4—121no—
1740C4—121no—
1741C4—121no—
1742C3#4545111yescharacteristic, complemented, Sylow
1743C2—42no—
1744C2—42no—
1745C2—42no—
1746C2—81no—
1747C2—81no—
1748C2—122no—
1749C2—241no—
1750C2#8630211yescharacteristic
1751C2#8633011yescharacteristic
1752C2#8639811yescharacteristic
1753C2#8660711yescharacteristic
1754C2#8663011yescharacteristic
1755C2#8664711yescharacteristic
1756C2#8707011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2678C2
hypercenter#2678D3
hypocenterC3#45451
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. C2×#5667C2semidirect
2. C2×#5586C2semidirect
3. C3×#2678C2semidirect
4. #82854C2semidirect
5. #82718C2semidirect
6. #82647C2semidirect
7. #82610C2semidirect
8. #82601C2semidirect
9. #82595C2semidirect
10. #77672C2semidirect
11. #77573C2semidirect
12. #77433C2semidirect
13. #77420C2semidirect
14. #77132C2semidirect
15. #77084C2semidirect
16. #76916C2semidirect
17. #76894C2semidirect
18. #76757C2semidirect
19. #76741C2semidirect
20. #76715C2semidirect
21. #76677C2semidirect
22. #76465C2semidirect
23. #76387C2semidirect
24. #76327C2semidirect
25. #76325C2semidirect
26. #75529C2semidirect
27. #75489C2semidirect
28. #74803C2semidirect
29. #74719C2semidirect
30. #73857C2semidirect
31. #73846C2semidirect
47. C2×#938C22semidirect
52. C2×#930C22semidirect
53. C2×#924C22semidirect
56. C2×#897C22semidirect
57. C2×#896C22semidirect
58. C2×#896C22semidirect
59. C2×#894C22semidirect
60. C2×#890C22semidirect
63. C2×#885C22semidirect
67. C2×#883C22semidirect
68. C2×#883C22semidirect
71. C2×#67⋊C4C22semidirect
95. #5223C22semidirect
99. #5222C22semidirect
105. #5220C22semidirect
106. #5210C22semidirect
107. C4×#217C22semidirect
108. #4994C22semidirect
109. #4989C22semidirect
110. #4989C22semidirect
111. #4985C22semidirect
112. #4983C22semidirect
113. #4979C22semidirect
114. #4978C22semidirect
115. #4976C22semidirect
116. #4973C22semidirect
117. #4972C22semidirect
118. #4972C22semidirect
123. #4960C22semidirect
124. #4959C22semidirect
125. #4959C22semidirect
126. #4959C22semidirect
137. #4956C22semidirect
141. #4952C22semidirect
147. #4950C22semidirect
149. #4949C22semidirect
151. #4948C22semidirect
152. #4948C22semidirect
153. #4948C22semidirect
154. #4948C22semidirect
156. #4947C22semidirect
157. #4947C22semidirect
162. #4944C22semidirect
169. #4942C22semidirect
170. #4940C22semidirect
171. #4940C22semidirect
172. C4×C4⋊Dic3C22semidirect
173. #4928C22semidirect
174. #4676C22semidirect
175. #4670C22semidirect
176. #4670C22semidirect
177. #4669C22semidirect
178. #4668C22semidirect
179. #4665C22semidirect
180. D3×#95C22semidirect
181. #4658C22semidirect
182. #4657C22semidirect
183. #4657C22semidirect
184. #4656C22semidirect
185. #4656C22semidirect
186. #4654C22semidirect
187. #4653C22semidirect
188. #4653C22semidirect
189. #4646C22semidirect
202. #2678D3semidirect
376. #886D4semidirect
1742. C3#45451semidirect

Maximal subgroups

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

subgroupindex
C2×#56672
C2×#55862
C3×#26782
#828542
#827182
#826472
#826102
#826012
#825952
#776722
#775732
#774332
#774202
#771322
#770842
#769162
#768942
#767572
#767412
#767152
#766772
#764652
#763872
#763272
#763252
#755292
#754892
#748032
#747192
#738572
#738462
#454513