Finite Group Databasebeta

← #11024337

Subgroups — #11024337

Order 768.

2566 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5645C211yesmaximal, characteristic, complemented
2C2×#5586C211yesmaximal, characteristic, complemented
3C3×#2472C211yesmaximal, characteristic, complemented
4#83004C211yesmaximal, characteristic, complemented
5#82996C211yesmaximal, characteristic, complemented
6#82762C211yesmaximal, characteristic, complemented
7#82586C211yesmaximal, characteristic, complemented
8#82109C211yesmaximal, characteristic, complemented
9C2×#4942C211yesmaximal, characteristic, complemented
10#77672C211yesmaximal, characteristic, complemented
11#77573C211yesmaximal, characteristic, complemented
12#77131C211yesmaximal, characteristic, complemented
13#77013C211yesmaximal, characteristic, complemented
14#76920C211yesmaximal, characteristic, complemented
15#76914C211yesmaximal, characteristic, complemented
16#76866C211yesmaximal, characteristic, complemented
17#76824C211yesmaximal, characteristic, complemented
18#76387C211yesmaximal, characteristic, complemented
19#76325C211yesmaximal, characteristic, complemented
20#75852C211yesmaximal, characteristic, complemented
21#75685C211yesmaximal, characteristic, complemented
22#75681C211yesmaximal, characteristic, complemented
23#75520C211yesmaximal, characteristic, complemented
24#74782C211yesmaximal, characteristic, complemented
25#74781C211yesmaximal, characteristic, complemented
26#74699C211yesmaximal, characteristic, complemented
27#74672C211yesmaximal, characteristic, complemented
28#73847C211yesmaximal, characteristic, complemented
29#73826C211yesmaximal, characteristic, complemented
30#73464C211yesmaximal, characteristic, complemented
31#73446C211yesmaximal, characteristic, complemented
32#37666—31nomaximal, Sylow
33C24×Dic3C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C2×C3×#124C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C22×C3×C22⋊C4C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C22×#217C2211yescharacteristic
42C2×#946C2211yescharacteristic, complemented
43C2×#946C2211yescharacteristic, complemented
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#938C2211yescharacteristic
48C2×#935C2211yescharacteristic
49C2×D4×Dic3C2211yescharacteristic
50C2×D4×Dic3C2211yescharacteristic
51C2×#930C2211yescharacteristic
52C2×C4×#67C2211yescharacteristic
53C22×Dic3⋊C4C2211yescharacteristic
54C22×Dic3⋊C4C2211yescharacteristic
55#5645—28no—
56#5586—28no—
57C2×#898C2211yescharacteristic, complemented
58C2×#898C2211yescharacteristic, complemented
59C2×#894C2211yescharacteristic, complemented
60C2×#894C2211yescharacteristic, complemented
61C2×#890C2211yescharacteristic, complemented
62C2×#890C2211yescharacteristic, complemented
63C2×#886C2211yescharacteristic
64C2×#886C2211yescharacteristic
65C2×#886C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#883C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic
71C2×#67⋊C4C2211yescharacteristic
72C2×#878C2211yescharacteristic
73C2×#878C2211yescharacteristic
74C2×#877C2211yescharacteristic
75C3×#397C2211yescharacteristic
76C3×#394C2211yescharacteristic
77C3×#394C2211yescharacteristic
78C3×#393C2211yescharacteristic
79C3×#390C2211yescharacteristic
80C3×#388C2211yescharacteristic
81C3×#388C2211yescharacteristic
82C3×#386C2211yescharacteristic
83C3×#386C2211yescharacteristic
84C3×#379C2211yescharacteristic
85C3×C4×C22⋊C4C2211yescharacteristic
86#5230C2211yescharacteristic, complemented
87#5229C2211yescharacteristic, complemented
88#5223C2211yescharacteristic
89#5222C2211yescharacteristic
90#5221C2211yescharacteristic
91#5220C2211yescharacteristic
92#5213C2211yescharacteristic
93#5210C2211yescharacteristic
94C2×C3⋊#95C2211yescharacteristic
95C2×C3⋊#95C2211yescharacteristic
96#4985C2211yescharacteristic, complemented
97#4982C2211yescharacteristic, complemented
98#4982C2211yescharacteristic, complemented
99#4978C2211yescharacteristic, complemented
100#4978C2211yescharacteristic, complemented
101#4972C2211yescharacteristic, complemented
102#4961C2211yescharacteristic
103#4961C2211yescharacteristic
104#4961C2211yescharacteristic, complemented
105#4960C2211yescharacteristic
106#4960C2211yescharacteristic, complemented
107#4959C2211yescharacteristic
108#4959C2211yescharacteristic
109#4959C2211yescharacteristic
110#4959C2211yescharacteristic, complemented
111#4959C2211yescharacteristic, complemented
112#4958C2211yescharacteristic
113#4958C2211yescharacteristic
114#4958C2211yescharacteristic
115#4958C2211yescharacteristic
116#4958C2211yescharacteristic
117#4958C2211yescharacteristic, complemented
118#4957C2211yescharacteristic
119#4956C2211yescharacteristic
120#4956C2211yescharacteristic
121#4956C2211yescharacteristic
122#4956C2211yescharacteristic, complemented
123#4956C2211yescharacteristic, complemented
124#4952C2211yescharacteristic
125#4952C2211yescharacteristic, complemented
126#4952C2211yescharacteristic, complemented
127#4951C2211yescharacteristic
128#4951C2211yescharacteristic
129#4950C2211yescharacteristic
130#4950C2211yescharacteristic
131#4950C2211yescharacteristic
132#4950C2211yescharacteristic
133#4950C2211yescharacteristic
134#4950C2211yescharacteristic
135#4950C2211yescharacteristic, complemented
136#4949C2211yescharacteristic
137#4949C2211yescharacteristic, complemented
138#4949C2211yescharacteristic, complemented
139#4948C2211yescharacteristic
140#4948C2211yescharacteristic
141#4948C2211yescharacteristic, complemented
142#4948C2211yescharacteristic, complemented
143#4945C2211yescharacteristic
144#4944C2211yescharacteristic
145#4943C2211yescharacteristic
146#4943C2211yescharacteristic
147#4942C2211yescharacteristic
148#4942C2211yescharacteristic
149#4942C2211yescharacteristic
150#4942C2211yescharacteristic
151#4942C2211yescharacteristic
152#4942C2211yescharacteristic
153#4942C2211yescharacteristic
154#4942C2211yescharacteristic
155#4942C2211yescharacteristic
156#4942C2211yescharacteristic, complemented
157Dic3×C22⋊C4C2211yescharacteristic, complemented
158#4940C2211yescharacteristic, complemented
159#4940C2211yescharacteristic, complemented
160#4940C2211yescharacteristic, complemented
161C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
162C4×C4⋊Dic3C2211yescharacteristic, complemented
163#4928C2211yescharacteristic, complemented
164#4928C2211yescharacteristic, complemented
165#4928C2211yescharacteristic, complemented
166#4676C2211yescharacteristic, complemented
167#4676C2211yescharacteristic, complemented
168#4673C2211yescharacteristic, complemented
169#4670C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4668C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4664C2211yescharacteristic, complemented
176D3×#95C2211yescharacteristic, complemented
177#4658C2211yescharacteristic, complemented
178#4658C2211yescharacteristic, complemented
179#4657C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4653C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#539—31no—
191C2×#525—31no—
192#2849—31no—
193#2704—31no—
194#2703—31no—
195#2702—31no—
196#2692—31no—
197#2691—31no—
198#2690—31no—
199#2672—31no—
200#2671—31no—
201#2623—31no—
202#2618—31no—
203#2472D311yescharacteristic, complemented
204#2468—31no—
205#2467—31no—
206#2460—31no—
207#2457—31no—
208#2454—31no—
209#2450—31no—
210#2438—31no—
211#2430—31no—
212#2427—31no—
213#2425—31no—
214#2424—31no—
215#2424—31no—
216#2418—31no—
217#2359—31no—
218#2339—31no—
219#2322—31no—
220C2×#380—31no—
221C25×C3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C23×Dic3—24no—
237C23×Dic3—24no—
238C23×Dic3—42no—
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C2×#237—24no—
249C2×#237—24no—
250C2×#237—42no—
251C22×D12C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C3×#124—42no—
258C3×C22⋊Q8—24no—
259C3×#120—24no—
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4—42no—
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
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C42C2311yescharacteristic
282C2×C3×C42C2311yescharacteristic
283#953—24no—
284#953—42no—
285C2×#217—42no—
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#946—24no—
302#946—24no—
303#939—24no—
304#939—24no—
305#939—42no—
306#938—42no—
307#935—24no—
308D4×Dic3—24no—
309D4×Dic3—24no—
310#930—24no—
311C4×#67—42no—
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
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
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
338C2×C4⋊Dic3C2311yescharacteristic
339C2×Dic3⋊C4—24no—
340C2×Dic3⋊C4—42no—
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
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#898—24no—
367#898—24no—
368#894—24no—
369#894—24no—
370#890—24no—
371#890—24no—
372#886—24no—
373#886—24no—
374#886D418yescomplemented
375#884—42no—
376#883—42no—
377#67⋊C4—24no—
378#67⋊C4—24no—
379#67⋊C4—24no—
380#67⋊C4—24no—
381#878—24no—
382#878—24no—
383#877—24no—
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
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C22×#41—31no—
421C24×C4—31no—
422#539—68no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#125—31no—
426C2×#125—31no—
427C2×#124C2×D311yescharacteristic
428#525—68no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8C2×D311yescharacteristic
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×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×#117—31no—
458C22×C4⋊C4—31no—
459C22×C4⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4C2×D311yescharacteristic
462#400—31no—
463#400—31no—
464#400—31no—
465#399—31no—
466#399—31no—
467#399—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397C2×D311yescharacteristic
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#395—31no—
485#395—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394C2×D311yescharacteristic
496#394C2×D311yescharacteristic
497#393—31no—
498#393C2×D311yescharacteristic
499#392—31no—
500#392—31no—
501#392—31no—
502#391—31no—
503#391—31no—
504#391—31no—
505#390—31no—
506#390—31no—
507#390C2×D311yescharacteristic
508#389—31no—
509#389—31no—
510#389—31no—
511#389—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388C2×D311yescharacteristic
521#388C2×D311yescharacteristic
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—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#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386C2×D311yescharacteristic
543#386C2×D311yescharacteristic
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#385—31no—
555#385—31no—
556#381—31no—
557#381—31no—
558#381—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#379C2×D311yescharacteristic
570C4×C4⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4C2×D311yescharacteristic
574C2×#95—31no—
575C2×#95—31no—
576C2×#95—31no—
577C24×C3—22no—
578C24×C3—22no—
579C24×C3—22no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—41no—
583C24×C3—41no—
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C2×C3×Q8—22no—
591C2×C3×Q8—41no—
592C2×C3×Q8—41no—
593C2×C3×D4—22no—
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—41no—
601C2×C3×D4—41no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67C2×D414yes—
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—22no—
648C22×Dic3—22no—
649C22×Dic3—22no—
650C22×Dic3—22no—
651C22×Dic3—22no—
652C22×Dic3—22no—
653C22×Dic3—22no—
654C22×Dic3—22no—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—22no—
658C22×Dic3—22no—
659C22×Dic3—41no—
660C22×Dic3—41no—
661C22×Dic3—41no—
662C22×Dic3—41no—
663C22×Dic3—41no—
664C22×Dic3—416no—
665C22×Dic3—41no—
666C22×Dic3—41no—
667C22×Dic3—41no—
668C22×Dic3—41no—
669C22×Dic3C2×D414yes—
670C22×Dic3#4114yes—
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685#237—416no—
686C2×D12—22no—
687C2×D12—41no—
688C2×D12—41no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×Dic6—22no—
702C2×Dic6—22no—
703C2×Dic6—41no—
704C3×C4⋊C4—22no—
705C3×C4⋊C4—22no—
706C3×C4⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—41no—
716C3×C22⋊C4—41no—
717C3×C22⋊C4—41no—
718C3×C22⋊C4—41no—
719C3×C22⋊C4—41no—
720C3×C22⋊C4—41no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4—41no—
723C3×C22⋊C4C2×D414yes—
724C3×C42—41no—
725C3×C42—41no—
726#217—22no—
727#217—22no—
728#217—22no—
729#217—22no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—41no—
735#217—41no—
736#217—41no—
737#217—41no—
738#217—41no—
739#217—41no—
740#217—41no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4C2×D414yes—
756(C2×D3)⋊C4C2×D414yes—
757C4⋊Dic3—22no—
758C4⋊Dic3—22no—
759C4⋊Dic3—22no—
760C4⋊Dic3—22no—
761C4⋊Dic3—22no—
762C4⋊Dic3—41no—
763C4⋊Dic3—41no—
764C4⋊Dic3—41no—
765C4⋊Dic3—41no—
766C4⋊Dic3C2×D414yes—
767C4⋊Dic3C2×D414yes—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788C4×Dic3—22no—
789C4×Dic3—22no—
790C4×Dic3—22no—
791C4×Dic3—22no—
792C4×Dic3—41no—
793C25C22×D311yescharacteristic
794C2×#41—64no—
795C2×#41—64no—
796C2×#41—122no—
797C22×Q8—31no—
798C22×Q8C22×D311yescharacteristic
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—31no—
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4C22×D311yescharacteristic
809C22×D4C22×D311yescharacteristic
810C22×D4C22×D311yescharacteristic
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—64no—
825C23×C4—64no—
826C23×C4—122no—
827C23×C4C22×D311yescharacteristic
828C23×C4C22×D311yescharacteristic
829#126—64no—
830#126—64no—
831#125—64no—
832#125—64no—
833#124—42no—
834#123—38no—
835#123—64no—
836#123—64no—
837#123—64no—
838#123—64no—
839#123—64no—
840#123—122no—
841C22⋊Q8—24no—
842C22⋊Q8—64no—
843C22⋊Q8—64no—
844C22⋊Q8—64no—
845C22⋊Q8—64no—
846#121—64no—
847#121—64no—
848#121—64no—
849#121—122no—
850#121—122no—
851#121—122no—
852#120—24no—
853#120—64no—
854#120—122no—
855C4×D4—64no—
856C4×D4—64no—
857C4×D4—64no—
858C4×D4—64no—
859C4×D4—64no—
860C4×D4—64no—
861C4×D4—122no—
862#117—64no—
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—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—64no—
895C2×C4⋊C4—122no—
896C2×C4⋊C4C22×D311yescharacteristic
897C2×C4⋊C4C22×D311yescharacteristic
898C2×C4⋊C4C22×D311yescharacteristic
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⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—42no—
931C2×C22⋊C4—122no—
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×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C42—31no—
950C2×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—31no—
954C2×C42C22×D311yescharacteristic
955C2×C42C22×D311yescharacteristic
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#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
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#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—28no—
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—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—44no—
1017C23×C3—44no—
1018C23×C3—44no—
1019C23×C3—44no—
1020C23×C3—44no—
1021C23×C3—44no—
1022C23×C3C22×D412yes—
1023C23×C3C2×#4112yes—
1024C23×C3H(5,𝔽2)12yes—
1025C23×C3H(5,𝔽2)12yes—
1026C23×C32−1+412yes—
1027C23×C3C2511yescharacteristic
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3C22×D412yes—
1042C3×Q8—82no—
1043C3×D4—44no—
1044C3×D4—44no—
1045C3×D4—44no—
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—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—82no—
1078C2×C3×C4—82no—
1079C2×C3×C4C22×D412yes—
1080C2×C3×C4C22×D412yes—
1081#67—28no—
1082#67—44no—
1083#67—44no—
1084#67—44no—
1085#67—44no—
1086#67—82no—
1087#67—82no—
1088#67—82no—
1089C2×Dic3—28no—
1090C2×Dic3—28no—
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—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—44no—
1129C2×Dic3—44no—
1130C2×Dic3—44no—
1131C2×Dic3—44no—
1132C2×Dic3—44no—
1133C2×Dic3—82no—
1134C2×Dic3—82no—
1135C2×Dic3C22×D412yes—
1136C2×Dic3C22×D412yes—
1137C2×Dic3C22×D412yes—
1138C2×Dic3C2×#4112yes—
1139C2×Dic3C2×#4112yes—
1140D12—82no—
1141C4×D3—44no—
1142C4×D3—82no—
1143C4×D3—82no—
1144C4×D3—82no—
1145Dic6—44no—
1146C24—22no—
1147C24—22no—
1148C24—22no—
1149C24—22no—
1150C24—22no—
1151C24—31no—
1152C24—31no—
1153C24—41no—
1154C24—41no—
1155C24C23×D311yescharacteristic
1156C24C23×D311yescharacteristic
1157C24C23×D311yescharacteristic
1158C24C23×D311yescharacteristic
1159#41—1216no—
1160C2×Q8—22no—
1161C2×Q8—41no—
1162C2×Q8—41no—
1163C2×Q8—62no—
1164C2×Q8—62no—
1165C2×Q8—121no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—34no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—62no—
1185C2×D4—62no—
1186C2×D4—62no—
1187C2×D4—62no—
1188C2×D4—62no—
1189C2×D4—62no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—121no—
1193C2×D4—121no—
1194C2×D4—121no—
1195C2×D4—121no—
1196C2×D4—121no—
1197C2×D4—121no—
1198C2×D4—121no—
1199C2×D4—121no—
1200C2×D4—121no—
1201C2×D4—121no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—34no—
1205C22×C4—34no—
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—31no—
1219C22×C4—31no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—62no—
1234C22×C4—62no—
1235C22×C4—62no—
1236C22×C4—62no—
1237C22×C4—62no—
1238C22×C4—62no—
1239C22×C4—62no—
1240C22×C4—62no—
1241C22×C4—62no—
1242C22×C4—62no—
1243C22×C4—62no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4—121no—
1247C22×C4—121no—
1248C22×C4—121no—
1249C22×C4—121no—
1250C22×C4—121no—
1251C22×C4—121no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4—121no—
1255C22×C4—121no—
1256C22×C4—121no—
1257C22×C4—1216no—
1258C22×C4—121no—
1259C22×C4—121no—
1260C22×C4—121no—
1261C22×C4—121no—
1262C22×C4C23×D311yescharacteristic
1263C22×C4C23×D311yescharacteristic
1264C22×C4C23×D311yescharacteristic
1265C22×C4C23×D311yescharacteristic
1266C22×C4C23×D311yescharacteristic
1267C22×C4C23×D311yescharacteristic
1268C22×C4C23×D311yescharacteristic
1269C22×C4C23×D311yescharacteristic
1270C22×C4C23×D311yescharacteristic
1271C22×C4C23×D311yescharacteristic
1272C22×C4C23×D311yescharacteristic
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—34no—
1277C4⋊C4—34no—
1278C4⋊C4—62no—
1279C4⋊C4—62no—
1280C4⋊C4—62no—
1281C4⋊C4—62no—
1282C4⋊C4—62no—
1283C4⋊C4—62no—
1284C4⋊C4—62no—
1285C4⋊C4—62no—
1286C4⋊C4—62no—
1287C4⋊C4—62no—
1288C4⋊C4—62no—
1289C4⋊C4—62no—
1290C4⋊C4—62no—
1291C4⋊C4—62no—
1292C4⋊C4—62no—
1293C4⋊C4—121no—
1294C4⋊C4—121no—
1295C4⋊C4—121no—
1296C4⋊C4—121no—
1297C4⋊C4—121no—
1298C4⋊C4—121no—
1299C4⋊C4—121no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C4⋊C4—121no—
1306C4⋊C4—121no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—34no—
1316C22⋊C4—34no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—121no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4D3×D414yes—
1355C42—41no—
1356C42—41no—
1357C42—62no—
1358C42—62no—
1359C42—62no—
1360C42—62no—
1361C42—121no—
1362C22×C3—22no—
1363C22×C3—22no—
1364C22×C3—22no—
1365C22×C3—22no—
1366C22×C3—22no—
1367C22×C3—22no—
1368C22×C3—22no—
1369C22×C3—22no—
1370C22×C3—22no—
1371C22×C3—22no—
1372C22×C3—22no—
1373C22×C3—22no—
1374C22×C3—416no—
1375C22×C3—41no—
1376C22×C3—41no—
1377C22×C3—41no—
1378C22×C3—41no—
1379C22×C3—41no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3#54614yes—
1391C22×C3C23×D411yescharacteristic
1392C22×C3C22×#4111yescharacteristic
1393C22×C3C2×H(5,𝔽2)11yescharacteristic
1394C22×C3C2×H(5,𝔽2)11yescharacteristic
1395C22×C3C2×2−1+411yescharacteristic
1396C22×C3#58511yescharacteristic
1397C22×C3#58511yescharacteristic
1398C2×D3—22no—
1399C2×D3—22no—
1400C2×D3—22no—
1401C2×D3—41no—
1402C2×D3—41no—
1403C2×D3—41no—
1404C2×D3—41no—
1405C2×D3—41no—
1406C2×D3—41no—
1407C2×D3—41no—
1408C2×D3—41no—
1409C2×D3—41no—
1410C2×D3—41no—
1411C2×D3—41no—
1412C3×C4—22no—
1413C3×C4—22no—
1414C3×C4—41no—
1415C3×C4—41no—
1416C3×C4—41no—
1417C3×C4—41no—
1418C3×C4—41no—
1419C3×C4—41no—
1420C3×C4—41no—
1421C3×C4—41no—
1422C3×C4—41no—
1423Dic3—22no—
1424Dic3—22no—
1425Dic3—22no—
1426Dic3—22no—
1427Dic3—22no—
1428Dic3—41no—
1429Dic3—41no—
1430Dic3—41no—
1431Dic3—41no—
1432Dic3—41no—
1433Dic3—41no—
1434Dic3—41no—
1435Dic3—41no—
1436Dic3—41no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—28no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—32no—
1462C23—44no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—61no—
1480C23—61no—
1481C23C2×D3×D412yes—
1482C23#100412yes—
1483C23D3×#4112yes—
1484C23#100912yes—
1485C23#101012yes—
1486C23C24×D311yescharacteristic
1487Q8—82no—
1488Q8—124no—
1489D4—44no—
1490D4—44no—
1491D4—44no—
1492D4—68no—
1493D4—124no—
1494D4—124no—
1495D4—124no—
1496D4—124no—
1497D4—242no—
1498D4—242no—
1499D4—242no—
1500D4—242no—
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—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—32no—
1533C2×C4—32no—
1534C2×C4—32no—
1535C2×C4—32no—
1536C2×C4—32no—
1537C2×C4—68no—
1538C2×C4—68no—
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—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—82no—
1577C2×C4—82no—
1578C2×C4—124no—
1579C2×C4—124no—
1580C2×C4—124no—
1581C2×C4—124no—
1582C2×C4—124no—
1583C2×C4—124no—
1584C2×C4—242no—
1585C2×C4—242no—
1586C2×C4—242no—
1587C2×C4—242no—
1588C2×C4—242no—
1589C2×C4C2×D3×D412yes—
1590C2×C4C2×D3×D412yes—
1591C2×C3—24no—
1592C2×C3—42no—
1593C2×C3—42no—
1594C2×C3—81no—
1595C2×C3#345511yescharacteristic
1596C2×C3C2×#54611yescharacteristic
1597C2×C3#348811yescharacteristic
1598C2×C3#348911yescharacteristic
1599C2×C3#349211yescharacteristic
1600C2×C3#353411yescharacteristic
1601C2×C3#353511yescharacteristic
1602D3—42no—
1603D3—81no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—416no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—62no—
1633C22—62no—
1634C22—62no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22—121no—
1641C22—121no—
1642C22—121no—
1643C22—121no—
1644C22—121no—
1645C22—121no—
1646C22#567614yes—
1647C22C22×D3×D411yescharacteristic
1648C22C2×#100411yescharacteristic
1649C22C2×D3×#4111yescharacteristic
1650C22C2×#100911yescharacteristic
1651C22C2×#101011yescharacteristic
1652C22#596611yescharacteristic
1653C22#596611yescharacteristic
1654C4—22no—
1655C4—22no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—62no—
1666C4—62no—
1667C4—62no—
1668C4—62no—
1669C4—62no—
1670C4—121no—
1671C4—121no—
1672C4—121no—
1673C4—121no—
1674C4—121no—
1675C4—121no—
1676C4—121no—
1677C4—121no—
1678C4—121no—
1679C3#3766611yescharacteristic, complemented, Sylow
1680C2—24no—
1681C2—42no—
1682C2—42no—
1683C2—81no—
1684C2—122no—
1685C2—241no—
1686C2#8602511yescharacteristic
1687C2C2×#567611yescharacteristic
1688C2#8638711yescharacteristic
1689C2#8660711yescharacteristic
1690C2#8663011yescharacteristic
1691C2#8664411yescharacteristic
1692C2#8680211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2472C2
hypercenter#2472D3
hypocenterC3#37666
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C2×#5645C2semidirect
2. C2×#5586C2semidirect
3. C3×#2472C2semidirect
4. #83004C2semidirect
5. #82996C2semidirect
6. #82762C2semidirect
7. #82586C2semidirect
8. #82109C2semidirect
9. C2×#4942C2semidirect
10. #77672C2semidirect
11. #77573C2semidirect
12. #77131C2semidirect
13. #77013C2semidirect
14. #76920C2semidirect
15. #76914C2semidirect
16. #76866C2semidirect
17. #76824C2semidirect
18. #76387C2semidirect
19. #76325C2semidirect
20. #75852C2semidirect
21. #75685C2semidirect
22. #75681C2semidirect
23. #75520C2semidirect
24. #74782C2semidirect
25. #74781C2semidirect
26. #74699C2semidirect
27. #74672C2semidirect
28. #73847C2semidirect
29. #73826C2semidirect
30. #73464C2semidirect
31. #73446C2semidirect
42. C2×#946C22semidirect
43. C2×#946C22semidirect
57. C2×#898C22semidirect
58. C2×#898C22semidirect
59. C2×#894C22semidirect
60. C2×#894C22semidirect
61. C2×#890C22semidirect
62. C2×#890C22semidirect
86. #5230C22semidirect
87. #5229C22semidirect
96. #4985C22semidirect
97. #4982C22semidirect
98. #4982C22semidirect
99. #4978C22semidirect
100. #4978C22semidirect
101. #4972C22semidirect
104. #4961C22semidirect
106. #4960C22semidirect
110. #4959C22semidirect
111. #4959C22semidirect
117. #4958C22semidirect
122. #4956C22semidirect
123. #4956C22semidirect
125. #4952C22semidirect
126. #4952C22semidirect
135. #4950C22semidirect
137. #4949C22semidirect
138. #4949C22semidirect
141. #4948C22semidirect
142. #4948C22semidirect
156. #4942C22semidirect
157. Dic3×C22⋊C4C22semidirect
158. #4940C22semidirect
159. #4940C22semidirect
160. #4940C22semidirect
161. C4×(C2×D3)⋊C4C22semidirect
162. C4×C4⋊Dic3C22semidirect
163. #4928C22semidirect
164. #4928C22semidirect
165. #4928C22semidirect
166. #4676C22semidirect
167. #4676C22semidirect
168. #4673C22semidirect
169. #4670C22semidirect
170. #4668C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
173. #4668C22semidirect
174. #4665C22semidirect
175. #4664C22semidirect
176. D3×#95C22semidirect
177. #4658C22semidirect
178. #4658C22semidirect
179. #4657C22semidirect
180. #4657C22semidirect
181. #4657C22semidirect
182. #4657C22semidirect
183. #4656C22semidirect
184. #4653C22semidirect
185. #4653C22semidirect
186. #4653C22semidirect
187. #4653C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
203. #2472D3semidirect
374. #886D4semidirect
1679. C3#37666semidirect

Maximal subgroups

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

subgroupindex
C2×#56452
C2×#55862
C3×#24722
#830042
#829962
#827622
#825862
#821092
C2×#49422
#776722
#775732
#771312
#770132
#769202
#769142
#768662
#768242
#763872
#763252
#758522
#756852
#756812
#755202
#747822
#747812
#746992
#746722
#738472
#738262
#734642
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