Finite Group Databasebeta

← #11330637

Subgroups — #11330637

Order 768.

2482 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5610C211yesmaximal, characteristic, complemented
2C2×#5613C211yesmaximal, characteristic, complemented
3C3×#2699C211yesmaximal, characteristic, complemented
4#82687C211yesmaximal, characteristic, complemented
5#82651C211yesmaximal, characteristic, complemented
6#77977C211yesmaximal, characteristic, complemented
7#77969C211yesmaximal, characteristic, complemented
8#77131C211yesmaximal, characteristic, complemented
9#77106C211yesmaximal, characteristic, complemented
10#77040C211yesmaximal, characteristic, complemented
11#76925C211yesmaximal, characteristic, complemented
12#76912C211yesmaximal, characteristic, complemented
13#76900C211yesmaximal, characteristic, complemented
14#76763C211yesmaximal, characteristic, complemented
15#76760C211yesmaximal, characteristic, complemented
16#76725C211yesmaximal, characteristic, complemented
17#76716C211yesmaximal, characteristic, complemented
18#76445C211yesmaximal, characteristic, complemented
19#76434C211yesmaximal, characteristic, complemented
20#75915C211yesmaximal, characteristic, complemented
21#75915C211yesmaximal, characteristic, complemented
22#75852C211yesmaximal, characteristic, complemented
23#75541C211yesmaximal, characteristic, complemented
24#74924C211yesmaximal, characteristic, complemented
25#74906C211yesmaximal, characteristic, complemented
26#74714C211yesmaximal, characteristic, complemented
27#74705C211yesmaximal, characteristic, complemented
28#74130C211yesmaximal, characteristic, complemented
29#74071C211yesmaximal, characteristic, complemented
30#74066C211yesmaximal, characteristic, complemented
31#74065C211yesmaximal, characteristic, complemented
32#48774—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic, complemented
37C2×#939C2211yescharacteristic
38C2×#939C2211yescharacteristic
39C2×#939C2211yescharacteristic, complemented
40C2×#938C2211yescharacteristic, complemented
41C2×#937C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#936C2211yescharacteristic, complemented
46C2×#935C2211yescharacteristic
47C2×#935C2211yescharacteristic, complemented
48C2×#935C2211yescharacteristic, complemented
49C2×#929C2211yescharacteristic
50C2×C4×#67C2211yescharacteristic
51C2×C4×#67C2211yescharacteristic, complemented
52C22×(C2×D3)⋊C4C2211yescharacteristic
53#5613—28no—
54#5610—28no—
55C2×#898C2211yescharacteristic
56C2×#897C2211yescharacteristic, complemented
57C2×#896C2211yescharacteristic
58C2×#896C2211yescharacteristic, complemented
59C2×#894C2211yescharacteristic
60C2×#894C2211yescharacteristic
61C2×#885C2211yescharacteristic
62C2×#885C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#883C2211yescharacteristic
65C2×#883C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic, complemented
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×#879C2211yescharacteristic, complemented
71C2×#869C2211yescharacteristic, complemented
72C3×#398C2211yescharacteristic, complemented
73C3×#394C2211yescharacteristic
74C3×#394C2211yescharacteristic, complemented
75C3×#394C2211yescharacteristic, complemented
76C3×#392C2211yescharacteristic
77C3×#392C2211yescharacteristic, complemented
78C3×#390C2211yescharacteristic, complemented
79C3×#388C2211yescharacteristic, complemented
80C3×#388C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic, complemented
82C3×#386C2211yescharacteristic, complemented
83C3×#381C2211yescharacteristic, complemented
84C3×#381C2211yescharacteristic, complemented
85#5223C2211yescharacteristic
86#5223C2211yescharacteristic
87#5222C2211yescharacteristic
88#5222C2211yescharacteristic
89#5222C2211yescharacteristic, complemented
90#5221C2211yescharacteristic, complemented
91#5220C2211yescharacteristic, complemented
92#5220C2211yescharacteristic, complemented
93#5220C2211yescharacteristic, complemented
94#5220C2211yescharacteristic, complemented
95#5213C2211yescharacteristic, complemented
96#5211C2211yescharacteristic, complemented
97#5210C2211yescharacteristic, complemented
98C2×C3⋊#95C2211yescharacteristic, complemented
99#4990C2211yescharacteristic
100#4990C2211yescharacteristic, complemented
101#4989C2211yescharacteristic
102#4989C2211yescharacteristic, complemented
103#4982C2211yescharacteristic, complemented
104#4979C2211yescharacteristic, complemented
105#4979C2211yescharacteristic, complemented
106#4978C2211yescharacteristic, complemented
107#4975C2211yescharacteristic, complemented
108#4973C2211yescharacteristic, complemented
109#4961C2211yescharacteristic
110#4961C2211yescharacteristic
111#4961C2211yescharacteristic
112#4961C2211yescharacteristic
113#4961C2211yescharacteristic
114#4961C2211yescharacteristic, complemented
115#4961C2211yescharacteristic, complemented
116#4960C2211yescharacteristic
117#4959C2211yescharacteristic
118#4959C2211yescharacteristic, complemented
119#4959C2211yescharacteristic, complemented
120#4958C2211yescharacteristic
121#4958C2211yescharacteristic, complemented
122#4958C2211yescharacteristic, complemented
123#4957C2211yescharacteristic
124#4957C2211yescharacteristic, complemented
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic, complemented
127#4956C2211yescharacteristic, complemented
128#4955C2211yescharacteristic
129#4955C2211yescharacteristic
130#4955C2211yescharacteristic
131#4955C2211yescharacteristic
132#4955C2211yescharacteristic
133#4952C2211yescharacteristic, complemented
134#4952C2211yescharacteristic, complemented
135#4951C2211yescharacteristic, complemented
136#4950C2211yescharacteristic, complemented
137#4950C2211yescharacteristic, complemented
138#4950C2211yescharacteristic, complemented
139#4950C2211yescharacteristic, complemented
140#4949C2211yescharacteristic, complemented
141#4949C2211yescharacteristic, complemented
142#4948C2211yescharacteristic, complemented
143#4948C2211yescharacteristic, complemented
144#4948C2211yescharacteristic, complemented
145#4947C2211yescharacteristic, complemented
146#4947C2211yescharacteristic, complemented
147#4946C2211yescharacteristic, complemented
148#4944C2211yescharacteristic, complemented
149#4944C2211yescharacteristic, complemented
150#4944C2211yescharacteristic, complemented
151#4944C2211yescharacteristic, complemented
152#4942C2211yescharacteristic, complemented
153#4942C2211yescharacteristic, complemented
154Dic3×C22⋊C4C2211yescharacteristic, complemented
155#4940C2211yescharacteristic
156#4940C2211yescharacteristic, complemented
157C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
158#4676C2211yescharacteristic, complemented
159#4675C2211yescharacteristic
160#4675C2211yescharacteristic
161#4675C2211yescharacteristic
162#4675C2211yescharacteristic
163#4675C2211yescharacteristic, complemented
164#4674C2211yescharacteristic
165#4674C2211yescharacteristic
166#4674C2211yescharacteristic, complemented
167#4674C2211yescharacteristic, complemented
168#4672C2211yescharacteristic
169#4669C2211yescharacteristic, complemented
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4668C2211yescharacteristic, complemented
174#4667C2211yescharacteristic, complemented
175#4666C2211yescharacteristic, complemented
176#4665C2211yescharacteristic
177#4664C2211yescharacteristic
178#4664C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180#4658C2211yescharacteristic, complemented
181#4658C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4654C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4650C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#538—31no—
192#2718—31no—
193#2706—31no—
194#2699D311yescharacteristic, complemented
195#2698—31no—
196#2697—31no—
197#2686—31no—
198#2682—31no—
199#2680—31no—
200#2674—31no—
201#2674—31no—
202#2671—31no—
203#2668—31no—
204#2622—31no—
205#2613—31no—
206#2483—31no—
207#2480—31no—
208#2472—31no—
209#2466—31no—
210#2459—31no—
211#2457—31no—
212#2457—31no—
213#2444—31no—
214#2432—31no—
215#2430—31no—
216#2422—31no—
217#2420—31no—
218#2419—31no—
219#2405—31no—
220#2375—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C2×#237—24no—
244C2×#237—42no—
245C2×#237—42no—
246C2×D3×D4—24no—
247C2×D3×D4—42no—
248C2×D3×D4—42no—
249C22×D12C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×Dic6C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C3×#121—24no—
258C3×#121—24no—
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C42C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296#939—24no—
297#939—24no—
298#939—42no—
299#938—24no—
300#937—24no—
301#937—24no—
302#937—42no—
303#937D418yescomplemented
304#936—24no—
305#935—24no—
306#935—24no—
307#935—42no—
308#929—24no—
309C4×#67—24no—
310C4×#67—24no—
311C2×(C2×D3)⋊C4—24no—
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
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×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#897—42no—
368#896—24no—
369#896—24no—
370#894—24no—
371#894—42no—
372#885—24no—
373#885—24no—
374#884—24no—
375#883—42no—
376#883—42no—
377#67⋊C4—24no—
378#67⋊C4—24no—
379D3×C22⋊C4—24no—
380D3×C22⋊C4—24no—
381#879—24no—
382#869—42no—
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C22×#41—31no—
418C23×D4—31no—
419#546—68no—
420#538—68no—
421C2×C4⋊Q8—31no—
422C2×#126—31no—
423C2×#126—31no—
424C2×#124—31no—
425C2×#124—31no—
426C2×#124—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121C2×D311yescharacteristic
444C2×#121C2×D311yescharacteristic, complemented
445C2×#120—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C22⋊C4—31no—
456#400—31no—
457#400—31no—
458#399—31no—
459#399—31no—
460#398—31no—
461#398—31no—
462#398C2×D311yescharacteristic, complemented
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#396—31no—
475#396—31no—
476#396—31no—
477#396—31no—
478#395—31no—
479#395—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—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#394C2×D311yescharacteristic
495#394C2×D311yescharacteristic, complemented
496#394C2×D311yescharacteristic, complemented
497#393—31no—
498#393—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#392C2×D311yescharacteristic
503#392C2×D311yescharacteristic, complemented
504#391—31no—
505#390—31no—
506#390—31no—
507#390—31no—
508#390C2×D311yescharacteristic, complemented
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#388—31no—
521#388—31no—
522#388C2×D311yescharacteristic, complemented
523#388C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic, complemented
541#386C2×D311yescharacteristic, complemented
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#384—31no—
555#382—31no—
556#381—31no—
557#381—31no—
558#381—31no—
559#381—31no—
560#381C2×D311yescharacteristic, complemented
561#381C2×D311yescharacteristic, complemented
562#380—31no—
563#380—31no—
564#380—31no—
565#379—31no—
566#379—31no—
567#379—31no—
568#379—31no—
569#379—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C24×C3C2411yescharacteristic
577C24×C3C2411yescharacteristic
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3C2×D414yes—
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C23×D3C2411yescharacteristic
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C2×C3×D4—41no—
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×D4C2×D414yes—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—41no—
616C22×C3×C4—41no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
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
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
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—22no—
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×#67C2×D414yes—
653C2×#67C2×D414yes—
654C22×Dic3—22no—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—22no—
658C22×Dic3—41no—
659C22×Dic3—41no—
660C22×Dic3—41no—
661C22×Dic3—41no—
662C22×Dic3—41no—
663C22×Dic3—41no—
664C22×Dic3—41no—
665C22×Dic3—41no—
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679#237—416no—
680D3×D4—416no—
681C2×D12—22no—
682C2×D12—22no—
683C2×D12—41no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
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×Dic6—22no—
700C2×Dic6—22no—
701C2×Dic6—22no—
702C2×Dic6—41no—
703C2×Dic6—41no—
704C2×Dic6—41no—
705C3×C4⋊C4—22no—
706C3×C4⋊C4—22no—
707C3×C4⋊C4—41no—
708C3×C4⋊C4—41no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—41no—
714C3×C22⋊C4—41no—
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×C42—41no—
724#217—22no—
725#217—22no—
726#217—22no—
727#217—22no—
728#217—22no—
729#217—22no—
730#217—22no—
731#217—22no—
732#217—41no—
733#217—41no—
734#217—41no—
735#217—41no—
736#217—41no—
737#217—41no—
738#217—41no—
739#217—41no—
740#217—41no—
741#217C2×D414yes—
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—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4C2×D414yes—
767(C2×D3)⋊C4C2×D414yes—
768C4⋊Dic3—22no—
769C4⋊Dic3—22no—
770C4⋊Dic3—22no—
771C4⋊Dic3—41no—
772C4⋊Dic3—41no—
773C4⋊Dic3—41no—
774C4⋊Dic3—41no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790Dic3⋊C4—41no—
791C4×Dic3—22no—
792C4×Dic3—22no—
793C4×Dic3—22no—
794C4×Dic3—41no—
795C4×Dic3—41no—
796C25—31no—
797C25—31no—
798C2×#41—64no—
799C2×#41—122no—
800C2×#41—122no—
801C22×Q8—31no—
802C22×Q8—31no—
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—64no—
813C22×D4—122no—
814C22×D4—122no—
815C22×D4C22×D311yescharacteristic
816C22×D4C22×D311yescharacteristic
817C22×D4C22×D311yescharacteristic
818C22×D4C22×D311yescharacteristic
819C22×D4C22×D311yescharacteristic
820C22×D4C22×D311yescharacteristic
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4C22×D311yescharacteristic
831C23×C4C22×D311yescharacteristic
832C4⋊Q8—122no—
833#126—64no—
834#126—64no—
835#124—64no—
836#124—64no—
837#124—64no—
838#123—64no—
839#123—64no—
840#123—64no—
841#123—64no—
842#123—122no—
843#123—122no—
844#123—122no—
845#123—122no—
846C22⋊Q8—64no—
847C22⋊Q8—64no—
848C22⋊Q8—122no—
849#121—24no—
850#121—24no—
851#121—64no—
852#121—64no—
853#121—64no—
854#121—64no—
855#121—122no—
856#120—38no—
857#120—64no—
858#120—64no—
859#120—122no—
860C4×D4—64no—
861C4×D4—64no—
862C4×D4—64no—
863C4×D4—64no—
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⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C4⋊C4C22×D311yescharacteristic
890C2×C4⋊C4C22×D311yescharacteristic
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊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—64no—
936C2×C22⋊C4—64no—
937C2×C22⋊C4—64no—
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×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C42—31no—
953C2×C42—31no—
954C2×C42—31no—
955C2×C42—31no—
956C2×C42—31no—
957C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
985#95C22×D311yescharacteristic
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—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—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—21no—
1017C23×C3—21no—
1018C23×C3C22×D412yes—
1019C23×C3C22×D412yes—
1020C23×C3C2511yescharacteristic
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×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—44no—
1040C22×D3—44no—
1041C22×D3—44no—
1042C22×D3—44no—
1043C22×D3—44no—
1044C22×D3—82no—
1045C22×D3—82no—
1046C22×D3—82no—
1047C22×D3—82no—
1048C22×D3—82no—
1049C22×D3—82no—
1050C22×D3—82no—
1051C22×D3—82no—
1052C22×D3—82no—
1053C22×D3C22×D412yes—
1054C22×D3C22×D412yes—
1055C22×D3H(5,𝔽2)12yes—
1056C3×D4—44no—
1057C3×D4—44no—
1058C3×D4—82no—
1059C3×D4—82no—
1060C3×D4—82no—
1061C3×D4—82no—
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—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—82no—
1095C2×C3×C4—82no—
1096C2×C3×C4C22×D412yes—
1097#67—28no—
1098#67—44no—
1099#67—44no—
1100#67—44no—
1101#67—44no—
1102#67—44no—
1103#67—82no—
1104#67—82no—
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—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—44no—
1142C2×Dic3—44no—
1143C2×Dic3—82no—
1144C2×Dic3—82no—
1145C2×Dic3C22×D412yes—
1146C2×Dic3C22×D412yes—
1147C2×Dic3H(5,𝔽2)12yes—
1148D12—44no—
1149C4×D3—44no—
1150C4×D3—44no—
1151C4×D3—82no—
1152C4×D3—82no—
1153C4×D3—82no—
1154Dic6—44no—
1155Dic6—82no—
1156C24—31no—
1157C24—31no—
1158C24—31no—
1159C24—34no—
1160C24—62no—
1161C24—62no—
1162C24—121no—
1163C24—121no—
1164C24—121no—
1165C24—121no—
1166C24—121no—
1167C24—121no—
1168C24—121no—
1169C24—121no—
1170C24—121no—
1171C24—121no—
1172C24—121no—
1173C24C23×D311yescharacteristic
1174C24C23×D311yescharacteristic
1175C24C23×D311yescharacteristic
1176C24C23×D311yescharacteristic
1177#41—1216no—
1178C2×Q8—62no—
1179C2×Q8—62no—
1180C2×Q8—62no—
1181C2×Q8—121no—
1182C2×Q8—121no—
1183C2×Q8—121no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—34no—
1189C2×D4—34no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—62no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—62no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—62no—
1212C2×D4—62no—
1213C2×D4—62no—
1214C2×D4—62no—
1215C2×D4—121no—
1216C2×D4—121no—
1217C2×D4—121no—
1218C2×D4—121no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C2×D4—121no—
1222C2×D4—121no—
1223C2×D4—121no—
1224C2×D4—121no—
1225C2×D4—121no—
1226C2×D4—121no—
1227C2×D4—121no—
1228C2×D4—1216no—
1229C2×D4D3×D414yes—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—31no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—31no—
1241C22×C4—31no—
1242C22×C4—31no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—62no—
1252C22×C4—62no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—62no—
1257C22×C4—62no—
1258C22×C4—62no—
1259C22×C4—62no—
1260C22×C4—121no—
1261C22×C4—121no—
1262C22×C4—121no—
1263C22×C4—121no—
1264C22×C4—121no—
1265C22×C4—121no—
1266C22×C4—121no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4—121no—
1270C22×C4—121no—
1271C22×C4—121no—
1272C22×C4—121no—
1273C22×C4—121no—
1274C22×C4—121no—
1275C22×C4—121no—
1276C22×C4C23×D311yescharacteristic
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—62no—
1292C4⋊C4—62no—
1293C4⋊C4—62no—
1294C4⋊C4—62no—
1295C4⋊C4—62no—
1296C4⋊C4—62no—
1297C4⋊C4—62no—
1298C4⋊C4—62no—
1299C4⋊C4—62no—
1300C4⋊C4—62no—
1301C4⋊C4—62no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C4⋊C4—121no—
1306C4⋊C4—121no—
1307C4⋊C4—121no—
1308C4⋊C4—121no—
1309C4⋊C4—121no—
1310C4⋊C4—121no—
1311C4⋊C4—121no—
1312C4⋊C4—121no—
1313C4⋊C4—121no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—34no—
1319C22⋊C4—34no—
1320C22⋊C4—34no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
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—62no—
1342C22⋊C4—62no—
1343C22⋊C4—62no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C22⋊C4—121no—
1372C42—41no—
1373C42—62no—
1374C42—62no—
1375C42—62no—
1376C42—121no—
1377C42—121no—
1378C22×C3—22no—
1379C22×C3—22no—
1380C22×C3—22no—
1381C22×C3—22no—
1382C22×C3—22no—
1383C22×C3—22no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3—41no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3C23×D411yescharacteristic
1407C22×C3C2×H(5,𝔽2)11yescharacteristic
1408C22×C3C2×H(5,𝔽2)11yescharacteristic
1409C22×C3#58511yescharacteristic
1410C22×C3#58511yescharacteristic
1411C22×C3#58511yescharacteristic
1412C22×C3#58511yescharacteristic
1413C2×D3—22no—
1414C2×D3—22no—
1415C2×D3—22no—
1416C2×D3—22no—
1417C2×D3—22no—
1418C2×D3—22no—
1419C2×D3—22no—
1420C2×D3—22no—
1421C2×D3—22no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—41no—
1427C2×D3—41no—
1428C2×D3—41no—
1429C2×D3—41no—
1430C2×D3—41no—
1431C2×D3—41no—
1432C2×D3—41no—
1433C2×D3—41no—
1434C2×D3—88no—
1435C2×D3—88no—
1436C3×C4—22no—
1437C3×C4—41no—
1438C3×C4—41no—
1439C3×C4—41no—
1440C3×C4—41no—
1441C3×C4—41no—
1442C3×C4—41no—
1443C3×C4—41no—
1444C3×C4—41no—
1445C3×C4—41no—
1446C3×C4—41no—
1447Dic3—22no—
1448Dic3—22no—
1449Dic3—22no—
1450Dic3—41no—
1451Dic3—41no—
1452Dic3—41no—
1453Dic3—41no—
1454Dic3—41no—
1455Dic3—41no—
1456Dic3—41no—
1457Dic3—41no—
1458Dic3—41no—
1459Dic3—41no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—32no—
1487C23—32no—
1488C23—32no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—61no—
1499C23—61no—
1500C23—61no—
1501C23—61no—
1502C23—61no—
1503C23—61no—
1504C23—61no—
1505C23—61no—
1506C23—61no—
1507C23—124no—
1508C23—124no—
1509C23—124no—
1510C23—124no—
1511C23—124no—
1512C23—242no—
1513C23—242no—
1514C23—242no—
1515C23—242no—
1516C23—242no—
1517C23—242no—
1518C23—242no—
1519C23—242no—
1520C23—242no—
1521C23C2×D3×D412yes—
1522C23C2×D3×D412yes—
1523C23C24×D311yescharacteristic
1524Q8—124no—
1525Q8—242no—
1526D4—44no—
1527D4—44no—
1528D4—68no—
1529D4—82no—
1530D4—82no—
1531D4—82no—
1532D4—82no—
1533D4—124no—
1534D4—124no—
1535D4—124no—
1536D4—124no—
1537D4—124no—
1538D4—124no—
1539D4—242no—
1540D4—242no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
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—32no—
1574C2×C4—32no—
1575C2×C4—32no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
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—82no—
1613C2×C4—82no—
1614C2×C4—124no—
1615C2×C4—124no—
1616C2×C4—124no—
1617C2×C4—124no—
1618C2×C4—242no—
1619C2×C4—242no—
1620C2×C4—242no—
1621C2×C4—242no—
1622C2×C4—242no—
1623C2×C4C2×D3×D412yes—
1624C2×C3—42no—
1625C2×C3—42no—
1626C2×C3—81no—
1627C2×C3—81no—
1628C2×C3#348411yescharacteristic
1629C2×C3#348511yescharacteristic
1630C2×C3#348511yescharacteristic
1631C2×C3#354511yescharacteristic
1632C2×C3#355111yescharacteristic
1633C2×C3#356011yescharacteristic
1634C2×C3#356211yescharacteristic
1635D3—42no—
1636D3—42no—
1637D3—42no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—62no—
1667C22—62no—
1668C22—62no—
1669C22—62no—
1670C22—62no—
1671C22—62no—
1672C22—62no—
1673C22—62no—
1674C22—62no—
1675C22—121no—
1676C22—121no—
1677C22—121no—
1678C22—121no—
1679C22—121no—
1680C22—121no—
1681C22—121no—
1682C22—121no—
1683C22—121no—
1684C22—121no—
1685C22—121no—
1686C22—121no—
1687C22—248no—
1688C22—248no—
1689C22C22×D3×D411yescharacteristic
1690C22#596411yescharacteristic
1691C22#596411yescharacteristic
1692C22D3×H(5,𝔽2)11yescharacteristic
1693C22D3×H(5,𝔽2)11yescharacteristic
1694C22#596611yescharacteristic
1695C22#596611yescharacteristic
1696C4—22no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—62no—
1708C4—62no—
1709C4—62no—
1710C4—121no—
1711C4—121no—
1712C4—121no—
1713C4—121no—
1714C4—121no—
1715C4—121no—
1716C4—121no—
1717C4—121no—
1718C4—121no—
1719C4—121no—
1720C3#4877411yescharacteristic, complemented, Sylow
1721C2—42no—
1722C2—42no—
1723C2—81no—
1724C2—81no—
1725C2—122no—
1726C2—122no—
1727C2—122no—
1728C2#8630811yescharacteristic
1729C2#8647711yescharacteristic
1730C2#8648111yescharacteristic
1731C2#8666311yescharacteristic
1732C2#8666311yescharacteristic
1733C2#8697611yescharacteristic
1734C2#8708411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2699C2
hypercenter#2699D3
hypocenterC3#48774
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2699

Complements

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

NH ≅ G/Ntype
1. C2×#5610C2semidirect
2. C2×#5613C2semidirect
3. C3×#2699C2semidirect
4. #82687C2semidirect
5. #82651C2semidirect
6. #77977C2semidirect
7. #77969C2semidirect
8. #77131C2semidirect
9. #77106C2semidirect
10. #77040C2semidirect
11. #76925C2semidirect
12. #76912C2semidirect
13. #76900C2semidirect
14. #76763C2semidirect
15. #76760C2semidirect
16. #76725C2semidirect
17. #76716C2semidirect
18. #76445C2semidirect
19. #76434C2semidirect
20. #75915C2semidirect
21. #75915C2semidirect
22. #75852C2semidirect
23. #75541C2semidirect
24. #74924C2semidirect
25. #74906C2semidirect
26. #74714C2semidirect
27. #74705C2semidirect
28. #74130C2semidirect
29. #74071C2semidirect
30. #74066C2semidirect
31. #74065C2semidirect
36. C2×C3×#121C22semidirect
39. C2×#939C22semidirect
40. C2×#938C22semidirect
45. C2×#936C22semidirect
47. C2×#935C22semidirect
48. C2×#935C22semidirect
51. C2×C4×#67C22semidirect
56. C2×#897C22semidirect
58. C2×#896C22semidirect
67. C2×#67⋊C4C22semidirect
70. C2×#879C22semidirect
71. C2×#869C22semidirect
72. C3×#398C22semidirect
74. C3×#394C22semidirect
75. C3×#394C22semidirect
77. C3×#392C22semidirect
78. C3×#390C22semidirect
79. C3×#388C22semidirect
80. C3×#388C22semidirect
81. C3×#386C22semidirect
82. C3×#386C22semidirect
83. C3×#381C22semidirect
84. C3×#381C22semidirect
89. #5222C22semidirect
90. #5221C22semidirect
91. #5220C22semidirect
92. #5220C22semidirect
93. #5220C22semidirect
94. #5220C22semidirect
95. #5213C22semidirect
96. #5211C22semidirect
97. #5210C22semidirect
98. C2×C3⋊#95C22semidirect
100. #4990C22semidirect
102. #4989C22semidirect
103. #4982C22semidirect
104. #4979C22semidirect
105. #4979C22semidirect
106. #4978C22semidirect
107. #4975C22semidirect
108. #4973C22semidirect
114. #4961C22semidirect
115. #4961C22semidirect
118. #4959C22semidirect
119. #4959C22semidirect
121. #4958C22semidirect
122. #4958C22semidirect
124. #4957C22semidirect
126. #4956C22semidirect
127. #4956C22semidirect
133. #4952C22semidirect
134. #4952C22semidirect
135. #4951C22semidirect
136. #4950C22semidirect
137. #4950C22semidirect
138. #4950C22semidirect
139. #4950C22semidirect
140. #4949C22semidirect
141. #4949C22semidirect
142. #4948C22semidirect
143. #4948C22semidirect
144. #4948C22semidirect
145. #4947C22semidirect
146. #4947C22semidirect
147. #4946C22semidirect
148. #4944C22semidirect
149. #4944C22semidirect
150. #4944C22semidirect
151. #4944C22semidirect
152. #4942C22semidirect
153. #4942C22semidirect
154. Dic3×C22⋊C4C22semidirect
156. #4940C22semidirect
157. C4×(C2×D3)⋊C4C22semidirect
158. #4676C22semidirect
163. #4675C22semidirect
166. #4674C22semidirect
167. #4674C22semidirect
169. #4669C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
173. #4668C22semidirect
174. #4667C22semidirect
175. #4666C22semidirect
178. #4664C22semidirect
179. #4664C22semidirect
180. #4658C22semidirect
181. #4658C22semidirect
182. #4657C22semidirect
183. #4654C22semidirect
184. #4654C22semidirect
185. #4652C22semidirect
186. #4650C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
194. #2699D3semidirect
303. #937D4semidirect
444. C2×#121C2×D3semidirect
462. #398C2×D3semidirect
495. #394C2×D3semidirect
496. #394C2×D3semidirect
503. #392C2×D3semidirect
508. #390C2×D3semidirect
522. #388C2×D3semidirect
523. #388C2×D3semidirect
540. #386C2×D3semidirect
541. #386C2×D3semidirect
560. #381C2×D3semidirect
561. #381C2×D3semidirect
1720. C3#48774semidirect

Maximal subgroups

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

subgroupindex
C2×#56102
C2×#56132
C3×#26992
#826872
#826512
#779772
#779692
#771312
#771062
#770402
#769252
#769122
#769002
#767632
#767602
#767252
#767162
#764452
#764342
#759152
#758522
#755412
#749242
#749062
#747142
#747052
#741302
#740712
#740662
#740652
#487743