Finite Group Databasebeta

← #11235674

Subgroups — #11235674

Order 768.

2428 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5646C211yesmaximal, characteristic, complemented
2C22×#883C211yesmaximal, characteristic
3C3×#2437C211yesmaximal, characteristic, complemented
4#82834C211yesmaximal, characteristic, complemented
5#82828C211yesmaximal, characteristic, complemented
6#82763C211yesmaximal, characteristic, complemented
7#82126C211yesmaximal, characteristic
8#82112C211yesmaximal, characteristic, complemented
9#82110C211yesmaximal, characteristic, complemented
10#78118C211yesmaximal, characteristic, complemented
11#78115C211yesmaximal, characteristic, complemented
12#77449C211yesmaximal, characteristic, complemented
13#77441C211yesmaximal, characteristic, complemented
14#77357C211yesmaximal, characteristic, complemented
15#77356C211yesmaximal, characteristic, complemented
16#76884C211yesmaximal, characteristic, complemented
17#76874C211yesmaximal, characteristic, complemented
18#74655C211yesmaximal, characteristic, complemented
19#74631C211yesmaximal, characteristic, complemented
20#74598C211yesmaximal, characteristic, complemented
21#74538C211yesmaximal, characteristic, complemented
22#74520C211yesmaximal, characteristic, complemented
23#74452C211yesmaximal, characteristic, complemented
24#74443C211yesmaximal, characteristic, complemented
25#74441C211yesmaximal, characteristic, complemented
26#74043C211yesmaximal, characteristic, complemented
27#73963C211yesmaximal, characteristic, complemented
28#73909C211yesmaximal, characteristic, complemented
29#73899C211yesmaximal, characteristic, complemented
30#73831C211yesmaximal, characteristic, complemented
31#73827C211yesmaximal, characteristic
32#45456—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic, complemented
37C22×C3×C22⋊C4C2211yescharacteristic
38C22×C3×C22⋊C4C2211yescharacteristic
39C22×#217C2211yescharacteristic
40C2×#946C2211yescharacteristic, complemented
41C2×#946C2211yescharacteristic, complemented
42C2×#944C2211yescharacteristic, complemented
43C2×#929C2211yescharacteristic
44C2×#929C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic
46C22×C4⋊Dic3C2211yescharacteristic
47C2×#924C2211yescharacteristic, complemented
48C22×Dic3⋊C4C2211yescharacteristic
49#5646—28no—
50C2×#898C2211yescharacteristic, complemented
51C2×#898C2211yescharacteristic, complemented
52C2×#896C2211yescharacteristic, complemented
53C2×#896C2211yescharacteristic, complemented
54C2×#890C2211yescharacteristic, complemented
55C2×#889C2211yescharacteristic, complemented
56C2×#888C2211yescharacteristic, complemented
57C2×#885C2211yescharacteristic
58C2×#885C2211yescharacteristic
59C2×#883—28no—
60C2×#883C2211yescharacteristic
61C2×#883C2211yescharacteristic
62C2×#883C2211yescharacteristic
63C2×#883C2211yescharacteristic
64C2×#883C2211yescharacteristic
65C2×#883C2211yescharacteristic
66C2×#883C2211yescharacteristic
67C2×#883C2211yescharacteristic
68C2×#879C2211yescharacteristic, complemented
69C2×#879C2211yescharacteristic, complemented
70C2×#878C2211yescharacteristic
71C2×#878C2211yescharacteristic
72C3×#399C2211yescharacteristic, complemented
73C3×#396C2211yescharacteristic, complemented
74C3×#396C2211yescharacteristic, complemented
75C3×#393C2211yescharacteristic, complemented
76C3×#385C2211yescharacteristic
77C3×#385C2211yescharacteristic
78C3×#385C2211yescharacteristic, complemented
79C3×#385C2211yescharacteristic, complemented
80C3×#380C2211yescharacteristic
81C3×#380C2211yescharacteristic, complemented
82C3×#379C2211yescharacteristic
83#5247C2211yescharacteristic
84#5247C2211yescharacteristic
85#5230C2211yescharacteristic, complemented
86#5213C2211yescharacteristic
87#5213C2211yescharacteristic
88#5212C2211yescharacteristic
89#5212C2211yescharacteristic, complemented
90#5210C2211yescharacteristic
91#5210C2211yescharacteristic
92#5210C2211yescharacteristic, complemented
93#5210C2211yescharacteristic, complemented
94C4×#217C2211yescharacteristic
95#4994C2211yescharacteristic, complemented
96#4994C2211yescharacteristic, complemented
97#4992C2211yescharacteristic, complemented
98#4992C2211yescharacteristic, complemented
99#4990C2211yescharacteristic, complemented
100#4990C2211yescharacteristic, complemented
101#4989C2211yescharacteristic, complemented
102#4989C2211yescharacteristic, complemented
103#4989C2211yescharacteristic, complemented
104#4989C2211yescharacteristic, complemented
105#4989C2211yescharacteristic, complemented
106#4989C2211yescharacteristic, complemented
107#4987C2211yescharacteristic, complemented
108#4987C2211yescharacteristic, complemented
109#4984C2211yescharacteristic, complemented
110#4983C2211yescharacteristic, complemented
111#4982C2211yescharacteristic, complemented
112#4982C2211yescharacteristic, complemented
113#4982C2211yescharacteristic, complemented
114#4981C2211yescharacteristic, complemented
115#4981C2211yescharacteristic, complemented
116#4980C2211yescharacteristic, complemented
117#4979C2211yescharacteristic, complemented
118#4976C2211yescharacteristic, complemented
119#4976C2211yescharacteristic, complemented
120#4975C2211yescharacteristic, complemented
121#4975C2211yescharacteristic, complemented
122#4972C2211yescharacteristic, complemented
123#4972C2211yescharacteristic, complemented
124#4961C2211yescharacteristic
125#4961C2211yescharacteristic
126#4959C2211yescharacteristic
127#4959C2211yescharacteristic
128#4959C2211yescharacteristic
129#4959C2211yescharacteristic
130#4959C2211yescharacteristic
131#4959C2211yescharacteristic
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic
134#4955C2211yescharacteristic
135#4955C2211yescharacteristic
136#4955C2211yescharacteristic
137#4955C2211yescharacteristic
138#4953C2211yescharacteristic, complemented
139#4953C2211yescharacteristic, complemented
140#4952C2211yescharacteristic, complemented
141#4952C2211yescharacteristic, complemented
142#4952C2211yescharacteristic, complemented
143#4952C2211yescharacteristic, complemented
144#4951C2211yescharacteristic, complemented
145#4951C2211yescharacteristic, complemented
146#4950C2211yescharacteristic
147#4950C2211yescharacteristic
148#4949C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4948C2211yescharacteristic, complemented
151#4948C2211yescharacteristic, complemented
152#4948C2211yescharacteristic, complemented
153#4947C2211yescharacteristic, complemented
154#4946C2211yescharacteristic
155#4946C2211yescharacteristic
156#4946C2211yescharacteristic
157#4946C2211yescharacteristic
158#4945C2211yescharacteristic, complemented
159#4945C2211yescharacteristic, complemented
160#4944C2211yescharacteristic, complemented
161#4944C2211yescharacteristic, complemented
162#4942C2211yescharacteristic
163#4942C2211yescharacteristic
164Dic3×C22⋊C4C2211yescharacteristic
165Dic3×C22⋊C4C2211yescharacteristic
166#4675C2211yescharacteristic, complemented
167#4675C2211yescharacteristic, complemented
168#4674C2211yescharacteristic, complemented
169#4674C2211yescharacteristic, complemented
170#4670C2211yescharacteristic, complemented
171#4670C2211yescharacteristic, complemented
172#4669C2211yescharacteristic, complemented
173#4669C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4667C2211yescharacteristic, complemented
177#4667C2211yescharacteristic, complemented
178#4661C2211yescharacteristic, complemented
179#4660C2211yescharacteristic, complemented
180#4659C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#563—31no—
191C22×#123—31no—
192#2848—31no—
193#2848—31no—
194#2814—31no—
195#2814—31no—
196#2724—31no—
197#2718—31no—
198#2718—31no—
199#2717—31no—
200#2707—31no—
201#2707—31no—
202#2695—31no—
203#2695—31no—
204#2680—31no—
205#2680—31no—
206#2674—31no—
207#2674—31no—
208#2480—31no—
209#2480—31no—
210#2480—31no—
211#2480—31no—
212#2473—31no—
213#2473—31no—
214#2440—31no—
215#2440—31no—
216#2437—31no—
217#2437D311yescharacteristic, complemented
218#2435—31no—
219#2405—31no—
220#2376—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67—24no—
229C22×#67—42no—
230C22×#67—42no—
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C22×C4×D3—24no—
239C22×C4×D3—42no—
240C22×C4×D3—42no—
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×Dic6C2311yescharacteristic
246C22×Dic6C2311yescharacteristic
247C3×C22⋊Q8—24no—
248C3×C22⋊Q8—42no—
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4—24no—
259C2×C3×C22⋊C4—42no—
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊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×#217—24no—
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
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
291#946—24no—
292#946—42no—
293#944—24no—
294#929—24no—
295#929—42no—
296C2×(C2×D3)⋊C4—24no—
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×C4⋊Dic3—24no—
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330#924—24no—
331C2×Dic3⋊C4—24no—
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362#898—24no—
363#898—24no—
364#896—24no—
365#896—42no—
366#890—24no—
367#889—24no—
368#888—24no—
369#885—24no—
370#885—42no—
371#883—24no—
372#883—24no—
373#883—24no—
374#883—24no—
375#883—24no—
376#883—24no—
377#883—24no—
378#883D418yes—
379#879—24no—
380#879—24no—
381#878—42no—
382#878—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
417C23×D4—31no—
418C24×C4—31no—
419#563—68no—
420C2×C4⋊Q8—31no—
421C2×C4⋊Q8—31no—
422C2×#126—31no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#126—31no—
426C2×#125—31no—
427C2×#125—31no—
428C2×#124—31no—
429C2×#124—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—68no—
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×C22⋊Q8—31no—
448C2×C22⋊Q8C2×D311yescharacteristic
449C2×C22⋊Q8C2×D311yescharacteristic, complemented
450C22×C4⋊C4—31no—
451C22×C4⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C22⋊C4—31no—
454C22×C22⋊C4C2×D311yescharacteristic
455C22×C22⋊C4C2×D311yescharacteristic
456#400—31no—
457#400—31no—
458#399—31no—
459#399C2×D311yescharacteristic, complemented
460#398—31no—
461#398—31no—
462#398—31no—
463#398—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#398—31no—
468#398—31no—
469#398—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#396C2×D311yescharacteristic, complemented
489#396C2×D311yescharacteristic, complemented
490#395—31no—
491#395—31no—
492#395—31no—
493#395—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#393—31no—
503#393C2×D311yescharacteristic, complemented
504#390—31no—
505#390—31no—
506#389—31no—
507#389—31no—
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#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#386—31no—
529#386—31no—
530#385—31no—
531#385—31no—
532#385—31no—
533#385—31no—
534#385—31no—
535#385—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385C2×D311yescharacteristic
549#385C2×D311yescharacteristic
550#385C2×D311yescharacteristic, complemented
551#385C2×D311yescharacteristic, complemented
552#384—31no—
553#384—31no—
554#380—31no—
555#380—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380C2×D311yescharacteristic
563#380C2×D311yescharacteristic, complemented
564#379—31no—
565#379—31no—
566#379—31no—
567#379—31no—
568#379—31no—
569#379—31no—
570#379C2×D311yescharacteristic
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C24×C3—22no—
575C24×C3—22no—
576C24×C3—22no—
577C24×C3—22no—
578C24×C3—41no—
579C24×C3—41no—
580C24×C3—41no—
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C2×C3×Q8—22no—
594C2×C3×Q8—41no—
595C2×C3×Q8—41no—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4—41no—
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
619C22×C3×C4C2411yescharacteristic
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—416no—
632C2×#67C2×D414yes—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C2×C4×D3—22no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—416no—
668C2×C4×D3C2×D414yes—
669C2×Dic6—22no—
670C2×Dic6—22no—
671C2×Dic6—41no—
672C2×Dic6—41no—
673C2×Dic6—41no—
674C2×Dic6—41no—
675C3×C4⋊C4—22no—
676C3×C4⋊C4—22no—
677C3×C4⋊C4—22no—
678C3×C4⋊C4—41no—
679C3×C4⋊C4—41no—
680C3×C4⋊C4—41no—
681C3×C4⋊C4—41no—
682C3×C4⋊C4—41no—
683C3×C4⋊C4—41no—
684C3×C22⋊C4—22no—
685C3×C22⋊C4—22no—
686C3×C22⋊C4—22no—
687C3×C22⋊C4—22no—
688C3×C22⋊C4—22no—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—41no—
693C3×C22⋊C4—41no—
694C3×C22⋊C4—41no—
695C3×C22⋊C4—41no—
696C3×C22⋊C4—41no—
697C3×C22⋊C4C2×D414yes—
698#217—22no—
699#217—22no—
700#217—22no—
701#217—22no—
702#217—22no—
703#217—22no—
704#217—22no—
705#217—22no—
706#217—22no—
707#217—41no—
708#217—41no—
709#217—41no—
710#217—41no—
711#217—41no—
712#217—41no—
713#217C2×D414yes—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
728(C2×D3)⋊C4—41no—
729(C2×D3)⋊C4—41no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4—41no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4C2×D414yes—
734C4⋊Dic3—22no—
735C4⋊Dic3—22no—
736C4⋊Dic3—22no—
737C4⋊Dic3—22no—
738C4⋊Dic3—22no—
739C4⋊Dic3—22no—
740C4⋊Dic3—41no—
741C4⋊Dic3—41no—
742C4⋊Dic3—41no—
743C4⋊Dic3—41no—
744C4⋊Dic3—41no—
745C4⋊Dic3C2×D414yes—
746Dic3⋊C4—22no—
747Dic3⋊C4—22no—
748Dic3⋊C4—22no—
749Dic3⋊C4—22no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—41no—
758Dic3⋊C4—41no—
759Dic3⋊C4—41no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4C2×D414yes—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C25—31no—
777C25C22×D311yescharacteristic
778C22×Q8—31no—
779C22×Q8—31no—
780C22×Q8C22×D311yescharacteristic
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—64no—
786C22×D4—122no—
787C22×D4—122no—
788C23×C4—31no—
789C23×C4—31no—
790C23×C4—31no—
791C23×C4—31no—
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—64no—
796C23×C4—122no—
797C23×C4—122no—
798C23×C4C22×D311yescharacteristic
799C23×C4C22×D311yescharacteristic
800C23×C4C22×D311yescharacteristic
801C23×C4C22×D311yescharacteristic
802C4⋊Q8—64no—
803C4⋊Q8—64no—
804#126—64no—
805#126—64no—
806#126—64no—
807#126—64no—
808#125—64no—
809#125—64no—
810#124—64no—
811#124—122no—
812#123—38no—
813#123—64no—
814#123—64no—
815#123—64no—
816#123—64no—
817#123—64no—
818#123—64no—
819#123—64no—
820#123—64no—
821#123—122no—
822C22⋊Q8—24no—
823C22⋊Q8—42no—
824C22⋊Q8—64no—
825C22⋊Q8—64no—
826C22⋊Q8—64no—
827C22⋊Q8—122no—
828C22⋊Q8—122no—
829C22⋊Q8—122no—
830C22⋊Q8—122no—
831C2×C4⋊C4—31no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—64no—
868C2×C4⋊C4—64no—
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C4⋊C4C22×D311yescharacteristic
872C2×C4⋊C4C22×D311yescharacteristic
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C4⋊C4C22×D311yescharacteristic
875C2×C4⋊C4C22×D311yescharacteristic
876C2×C4⋊C4C22×D311yescharacteristic
877C2×C4⋊C4C22×D311yescharacteristic
878C2×C22⋊C4—24no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—42no—
916C2×C22⋊C4—64no—
917C2×C22⋊C4—64no—
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C42—31no—
933C2×C42—31no—
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—44no—
990C23×C3—44no—
991C23×C3—44no—
992C23×C3—44no—
993C23×C3—82no—
994C23×C3—82no—
995C23×C3—82no—
996C23×C3C22×D412yes—
997C23×C3H(5,𝔽2)12yes—
998C23×C32−1+412yes—
999C23×C32−1+412yes—
1000C23×C3C2511yescharacteristic
1001C22×D3—28no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—44no—
1015C22×D3—44no—
1016C22×D3—44no—
1017C22×D3—44no—
1018C22×D3—44no—
1019C22×D3—44no—
1020C22×D3C22×D412yes—
1021C22×D3H(5,𝔽2)12yes—
1022C3×Q8—82no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—44no—
1058C2×C3×C4—44no—
1059C2×C3×C4—82no—
1060C2×C3×C4—82no—
1061C2×C3×C4C22×D412yes—
1062C2×C3×C4C22×D412yes—
1063#67—44no—
1064#67—44no—
1065#67—44no—
1066#67—44no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—44no—
1107C2×Dic3—44no—
1108C2×Dic3—44no—
1109C2×Dic3C22×D412yes—
1110C2×Dic3C22×D412yes—
1111C2×Dic3C22×D412yes—
1112C4×D3—44no—
1113C4×D3—44no—
1114C4×D3—44no—
1115C4×D3—44no—
1116Dic6—82no—
1117Dic6—82no—
1118C24—22no—
1119C24—22no—
1120C24—22no—
1121C24—22no—
1122C24—31no—
1123C24—31no—
1124C24—41no—
1125C24—41no—
1126C24—41no—
1127C24—62no—
1128C24—62no—
1129C24—62no—
1130C24—62no—
1131C24—62no—
1132C24—121no—
1133C24—121no—
1134C24C23×D311yescharacteristic
1135C24C23×D311yescharacteristic
1136C24C23×D311yescharacteristic
1137C2×Q8—22no—
1138C2×Q8—41no—
1139C2×Q8—41no—
1140C2×Q8—62no—
1141C2×Q8—62no—
1142C2×Q8—121no—
1143C2×Q8—121no—
1144C2×Q8—121no—
1145C2×Q8—121no—
1146C2×D4—34no—
1147C2×D4—62no—
1148C2×D4—62no—
1149C2×D4—62no—
1150C2×D4—62no—
1151C2×D4—62no—
1152C2×D4—121no—
1153C2×D4—121no—
1154C2×D4—121no—
1155C2×D4—121no—
1156C2×D4—121no—
1157C2×D4—121no—
1158C2×D4—1216no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—31no—
1165C22×C4—31no—
1166C22×C4—31no—
1167C22×C4—34no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—31no—
1171C22×C4—31no—
1172C22×C4—31no—
1173C22×C4—31no—
1174C22×C4—31no—
1175C22×C4—31no—
1176C22×C4—31no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—62no—
1189C22×C4—62no—
1190C22×C4—62no—
1191C22×C4—62no—
1192C22×C4—62no—
1193C22×C4—62no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—121no—
1198C22×C4—121no—
1199C22×C4—121no—
1200C22×C4—121no—
1201C22×C4—121no—
1202C22×C4—121no—
1203C22×C4—1216no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4—121no—
1207C22×C4C23×D311yescharacteristic
1208C22×C4C23×D311yescharacteristic
1209C22×C4C23×D311yescharacteristic
1210C22×C4C23×D311yescharacteristic
1211C22×C4C23×D311yescharacteristic
1212C22×C4C23×D311yescharacteristic
1213C22×C4C23×D311yescharacteristic
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—34no—
1223C4⋊C4—34no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—62no—
1231C4⋊C4—62no—
1232C4⋊C4—62no—
1233C4⋊C4—62no—
1234C4⋊C4—62no—
1235C4⋊C4—62no—
1236C4⋊C4—62no—
1237C4⋊C4—62no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—62no—
1247C4⋊C4—121no—
1248C4⋊C4—121no—
1249C4⋊C4—121no—
1250C4⋊C4—121no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C4⋊C4—121no—
1257C4⋊C4—121no—
1258C4⋊C4—121no—
1259C4⋊C4—121no—
1260C4⋊C4—121no—
1261C4⋊C4—121no—
1262C4⋊C4—121no—
1263C4⋊C4—121no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—34no—
1273C22⋊C4—34no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
1295C22⋊C4—62no—
1296C22⋊C4—62no—
1297C22⋊C4—62no—
1298C22⋊C4—62no—
1299C22⋊C4—121no—
1300C22⋊C4—121no—
1301C22⋊C4—121no—
1302C22⋊C4—121no—
1303C22⋊C4—121no—
1304C22⋊C4—121no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C22⋊C4—121no—
1312C22⋊C4—121no—
1313C22⋊C4D3×D414yes—
1314C42—62no—
1315C42—62no—
1316C42—62no—
1317C42—121no—
1318C42—121no—
1319C42—121no—
1320C22×C3—22no—
1321C22×C3—22no—
1322C22×C3—22no—
1323C22×C3—22no—
1324C22×C3—22no—
1325C22×C3—22no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3—22no—
1329C22×C3—41no—
1330C22×C3—41no—
1331C22×C3—41no—
1332C22×C3—41no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3—41no—
1336C22×C3—41no—
1337C22×C3—41no—
1338C22×C3—41no—
1339C22×C3—41no—
1340C22×C3—88no—
1341C22×C3#56314yescomplemented
1342C22×C3C23×D411yescharacteristic
1343C22×C3C2×H(5,𝔽2)11yescharacteristic
1344C22×C3C2×H(5,𝔽2)11yescharacteristic
1345C22×C3C2×2−1+411yescharacteristic
1346C22×C3C2×2−1+411yescharacteristic
1347C22×C3#58511yescharacteristic
1348C22×C3#58511yescharacteristic
1349C2×D3—22no—
1350C2×D3—22no—
1351C2×D3—22no—
1352C2×D3—22no—
1353C2×D3—22no—
1354C2×D3—22no—
1355C2×D3—416no—
1356C2×D3—41no—
1357C2×D3—41no—
1358C2×D3—41no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
1362C2×D3—41no—
1363C2×D3—41no—
1364C3×C4—22no—
1365C3×C4—22no—
1366C3×C4—41no—
1367C3×C4—41no—
1368C3×C4—41no—
1369C3×C4—41no—
1370C3×C4—41no—
1371C3×C4—41no—
1372C3×C4—41no—
1373C3×C4—41no—
1374C3×C4—41no—
1375C3×C4—41no—
1376Dic3—22no—
1377Dic3—22no—
1378Dic3—22no—
1379Dic3—41no—
1380Dic3—41no—
1381Dic3—41no—
1382Dic3—41no—
1383Dic3—41no—
1384Dic3—41no—
1385Dic3—41no—
1386Dic3—41no—
1387Dic3—41no—
1388Dic3—41no—
1389Dic3—41no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—32no—
1408C23—32no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—68no—
1414C23—61no—
1415C23—61no—
1416C23—61no—
1417C23—61no—
1418C23—61no—
1419C23—61no—
1420C23—61no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—82no—
1427C23—82no—
1428C23—82no—
1429C23—124no—
1430C23—124no—
1431C23—124no—
1432C23—124no—
1433C23—124no—
1434C23—124no—
1435C23C2×D3×D412yes—
1436C23#100412yes—
1437C23#100712yes—
1438C23#101012yes—
1439C23C24×D311yescharacteristic
1440Q8—82no—
1441Q8—242no—
1442Q8—242no—
1443D4—124no—
1444D4—124no—
1445D4—124no—
1446D4—124no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—32no—
1482C2×C4—32no—
1483C2×C4—32no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—124no—
1528C2×C4—124no—
1529C2×C4—124no—
1530C2×C4—124no—
1531C2×C4—124no—
1532C2×C4—124no—
1533C2×C4—124no—
1534C2×C4C2×D3×D412yes—
1535C2×C4C2×D3×D412yes—
1536C2×C3—24no—
1537C2×C3—42no—
1538C2×C3—81no—
1539C2×C3#348411yescharacteristic
1540C2×C3#348911yescharacteristic
1541C2×C3#348911yescharacteristic
1542C2×C3C2×#56311yescharacteristic
1543C2×C3#353311yescharacteristic
1544C2×C3#353511yescharacteristic
1545C2×C3#353511yescharacteristic
1546D3—42no—
1547D3—42no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—62no—
1569C22—62no—
1570C22—62no—
1571C22—62no—
1572C22—62no—
1573C22—62no—
1574C22—88no—
1575C22—1216no—
1576C22—121no—
1577C22—121no—
1578C22—121no—
1579C22—121no—
1580C22—121no—
1581C22—121no—
1582C22—121no—
1583C22—121no—
1584C22#564614yescomplemented
1585C22C22×D3×D411yescharacteristic
1586C22C2×#100411yescharacteristic
1587C22C2×#100711yescharacteristic
1588C22C2×#101011yescharacteristic
1589C22#596411yescharacteristic
1590C22D3×H(5,𝔽2)11yescharacteristic
1591C22#596611yescharacteristic
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—62no—
1605C4—62no—
1606C4—62no—
1607C4—121no—
1608C4—121no—
1609C4—121no—
1610C4—121no—
1611C4—121no—
1612C4—121no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C4—121no—
1618C3#4545611yescharacteristic, complemented, Sylow
1619C2—24no—
1620C2—42no—
1621C2—81no—
1622C2—122no—
1623C2—122no—
1624C2C2×#564611yescharacteristic
1625C2#8598511yescharacteristic
1626C2#8658011yescharacteristic
1627C2#8662011yescharacteristic
1628C2#8663011yescharacteristic
1629C2#8666811yescharacteristic
1630C2#8682111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2437C2
prime radicalC23×#67C22
hypercenter#2437D3
hypocenterC3#45456
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. C2×#5646C2semidirect
3. C3×#2437C2semidirect
4. #82834C2semidirect
5. #82828C2semidirect
6. #82763C2semidirect
8. #82112C2semidirect
9. #82110C2semidirect
10. #78118C2semidirect
11. #78115C2semidirect
12. #77449C2semidirect
13. #77441C2semidirect
14. #77357C2semidirect
15. #77356C2semidirect
16. #76884C2semidirect
17. #76874C2semidirect
18. #74655C2semidirect
19. #74631C2semidirect
20. #74598C2semidirect
21. #74538C2semidirect
22. #74520C2semidirect
23. #74452C2semidirect
24. #74443C2semidirect
25. #74441C2semidirect
26. #74043C2semidirect
27. #73963C2semidirect
28. #73909C2semidirect
29. #73899C2semidirect
30. #73831C2semidirect
36. C2×C3×C22⋊Q8C22semidirect
40. C2×#946C22semidirect
41. C2×#946C22semidirect
42. C2×#944C22semidirect
47. C2×#924C22semidirect
50. C2×#898C22semidirect
51. C2×#898C22semidirect
52. C2×#896C22semidirect
53. C2×#896C22semidirect
54. C2×#890C22semidirect
55. C2×#889C22semidirect
56. C2×#888C22semidirect
68. C2×#879C22semidirect
69. C2×#879C22semidirect
72. C3×#399C22semidirect
73. C3×#396C22semidirect
74. C3×#396C22semidirect
75. C3×#393C22semidirect
78. C3×#385C22semidirect
79. C3×#385C22semidirect
81. C3×#380C22semidirect
85. #5230C22semidirect
89. #5212C22semidirect
92. #5210C22semidirect
93. #5210C22semidirect
95. #4994C22semidirect
96. #4994C22semidirect
97. #4992C22semidirect
98. #4992C22semidirect
99. #4990C22semidirect
100. #4990C22semidirect
101. #4989C22semidirect
102. #4989C22semidirect
103. #4989C22semidirect
104. #4989C22semidirect
105. #4989C22semidirect
106. #4989C22semidirect
107. #4987C22semidirect
108. #4987C22semidirect
109. #4984C22semidirect
110. #4983C22semidirect
111. #4982C22semidirect
112. #4982C22semidirect
113. #4982C22semidirect
114. #4981C22semidirect
115. #4981C22semidirect
116. #4980C22semidirect
117. #4979C22semidirect
118. #4976C22semidirect
119. #4976C22semidirect
120. #4975C22semidirect
121. #4975C22semidirect
122. #4972C22semidirect
123. #4972C22semidirect
138. #4953C22semidirect
139. #4953C22semidirect
140. #4952C22semidirect
141. #4952C22semidirect
142. #4952C22semidirect
143. #4952C22semidirect
144. #4951C22semidirect
145. #4951C22semidirect
148. #4949C22semidirect
149. #4948C22semidirect
150. #4948C22semidirect
151. #4948C22semidirect
152. #4948C22semidirect
153. #4947C22semidirect
158. #4945C22semidirect
159. #4945C22semidirect
160. #4944C22semidirect
161. #4944C22semidirect
166. #4675C22semidirect
167. #4675C22semidirect
168. #4674C22semidirect
169. #4674C22semidirect
170. #4670C22semidirect
171. #4670C22semidirect
172. #4669C22semidirect
173. #4669C22semidirect
174. #4668C22semidirect
175. #4668C22semidirect
176. #4667C22semidirect
177. #4667C22semidirect
178. #4661C22semidirect
179. #4660C22semidirect
180. #4659C22semidirect
181. #4657C22semidirect
182. #4657C22semidirect
183. #4657C22semidirect
184. #4656C22semidirect
185. #4656C22semidirect
186. #4655C22semidirect
187. #4654C22semidirect
188. #4653C22semidirect
189. #4647C22semidirect
217. #2437D3semidirect
449. C2×C22⋊Q8C2×D3semidirect
459. #399C2×D3semidirect
488. #396C2×D3semidirect
489. #396C2×D3semidirect
503. #393C2×D3semidirect
550. #385C2×D3semidirect
551. #385C2×D3semidirect
563. #380C2×D3semidirect
1341. C22×C3#563semidirect
1584. C22#5646semidirect
1618. C3#45456semidirect

Maximal subgroups

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

subgroupindex
C2×#56462
C22×#8832
C3×#24372
#828342
#828282
#827632
#821262
#821122
#821102
#781182
#781152
#774492
#774412
#773572
#773562
#768842
#768742
#746552
#746312
#745982
#745382
#745202
#744522
#744432
#744412
#740432
#739632
#739092
#738992
#738312
#738272
#454563