Finite Group Databasebeta

← #11635428

Subgroups — #11635428

Order 768.

2660 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5586C211yesmaximal, characteristic
2C2×#5495C211yesmaximal, characteristic, complemented
3C3×#2412C211yesmaximal, characteristic, complemented
4#82846C211yesmaximal, characteristic, complemented
5#82838C211yesmaximal, characteristic, complemented
6#82584C211yesmaximal, characteristic, complemented
7#82099C211yesmaximal, characteristic, complemented
8C2×#4950C211yesmaximal, characteristic, complemented
9C2×#4946C211yesmaximal, characteristic, complemented
10#77595C211yesmaximal, characteristic, complemented
11#77589C211yesmaximal, characteristic, complemented
12#77479C211yesmaximal, characteristic, complemented
13#77478C211yesmaximal, characteristic, complemented
14#77107C211yesmaximal, characteristic, complemented
15#77040C211yesmaximal, characteristic, complemented
16#77039C211yesmaximal, characteristic, complemented
17#76904C211yesmaximal, characteristic, complemented
18#74710C211yesmaximal, characteristic, complemented
19#74709C211yesmaximal, characteristic, complemented
20#74704C211yesmaximal, characteristic, complemented
21#74702C211yesmaximal, characteristic, complemented
22#74696C211yesmaximal, characteristic, complemented
23#74675C211yesmaximal, characteristic, complemented
24#74416C211yesmaximal, characteristic, complemented
25#74393C211yesmaximal, characteristic, complemented
26#74067C211yesmaximal, characteristic, complemented
27#74065C211yesmaximal, characteristic, complemented
28#74010C211yesmaximal, characteristic, complemented
29#73899C211yesmaximal, characteristic, complemented
30#73897C211yesmaximal, characteristic, complemented
31#73890C211yesmaximal, characteristic, complemented
32#59107—31nomaximal, Sylow
33C24×Dic3C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×#120C2211yescharacteristic
37C22×C3×C22⋊C4C2211yescharacteristic
38C22×C3×C22⋊C4C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C22×#217C2211yescharacteristic
41C22×#217C2211yescharacteristic
42C2×#939C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#935C2211yescharacteristic
45C2×#935C2211yescharacteristic
46C2×D4×Dic3C2211yescharacteristic
47C2×D4×Dic3C2211yescharacteristic
48C2×#929C2211yescharacteristic
49C2×C4×#67C2211yescharacteristic
50C2×C4×#67C2211yescharacteristic
51C2×#926C2211yescharacteristic
52C22×C4⋊Dic3C2211yescharacteristic
53C22×C4⋊Dic3C2211yescharacteristic
54C2×#924C2211yescharacteristic
55C22×Dic3⋊C4C2211yescharacteristic
56C22×Dic3⋊C4C2211yescharacteristic
57#5586—28no—
58C2×D3×C4⋊C4C2211yescharacteristic, complemented
59C2×#888C2211yescharacteristic, complemented
60#5495—28no—
61C2×#886C2211yescharacteristic
62C2×#886C2211yescharacteristic
63C2×#885C2211yescharacteristic
64C2×#883C2211yescharacteristic
65C2×#883C2211yescharacteristic, complemented
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#879C2211yescharacteristic
71C2×#879C2211yescharacteristic
72C2×#878C2211yescharacteristic
73C2×#878C2211yescharacteristic
74C2×#878C2211yescharacteristic
75C2×#878C2211yescharacteristic, complemented
76C2×#877C2211yescharacteristic
77C2×#877C2211yescharacteristic
78C3×#397C2211yescharacteristic
79C3×#397C2211yescharacteristic
80C3×#394C2211yescharacteristic
81C3×#394C2211yescharacteristic
82C3×#386C2211yescharacteristic
83C3×#386C2211yescharacteristic
84C3×#386C2211yescharacteristic
85C3×#385C2211yescharacteristic
86C3×#381C2211yescharacteristic
87C3×#380C2211yescharacteristic
88C3×#380C2211yescharacteristic
89#5222C2211yescharacteristic
90#5222C2211yescharacteristic
91#5220C2211yescharacteristic
92#5220C2211yescharacteristic
93#5220C2211yescharacteristic
94#5213C2211yescharacteristic
95#5210C2211yescharacteristic
96C4×#217C2211yescharacteristic
97C2×C3⋊#95C2211yescharacteristic
98C2×C3⋊#95C2211yescharacteristic
99C2×C3⋊#95C2211yescharacteristic
100C2×C3⋊#95C2211yescharacteristic
101#4992C2211yescharacteristic, complemented
102#4989C2211yescharacteristic, complemented
103#4987C2211yescharacteristic, complemented
104#4984C2211yescharacteristic, complemented
105#4983C2211yescharacteristic, complemented
106#4982C2211yescharacteristic, complemented
107#4980C2211yescharacteristic, complemented
108#4980C2211yescharacteristic, complemented
109#4979C2211yescharacteristic, complemented
110#4976C2211yescharacteristic, complemented
111#4975C2211yescharacteristic, complemented
112#4975C2211yescharacteristic, complemented
113Dic3×C4⋊C4C2211yescharacteristic, complemented
114#4972C2211yescharacteristic, complemented
115#4961C2211yescharacteristic, complemented
116#4959C2211yescharacteristic, complemented
117#4958C2211yescharacteristic
118#4957C2211yescharacteristic
119#4956C2211yescharacteristic
120#4956C2211yescharacteristic, complemented
121#4952C2211yescharacteristic
122#4952C2211yescharacteristic
123#4951C2211yescharacteristic, complemented
124#4951C2211yescharacteristic, complemented
125#4950C2211yescharacteristic
126#4950C2211yescharacteristic
127#4950C2211yescharacteristic
128#4950C2211yescharacteristic
129#4950C2211yescharacteristic
130#4950C2211yescharacteristic
131#4950C2211yescharacteristic
132#4950C2211yescharacteristic
133#4950C2211yescharacteristic, complemented
134#4949C2211yescharacteristic, complemented
135#4949C2211yescharacteristic, complemented
136#4948C2211yescharacteristic, complemented
137#4948C2211yescharacteristic, complemented
138#4946C2211yescharacteristic
139#4946C2211yescharacteristic
140#4946C2211yescharacteristic
141#4946C2211yescharacteristic
142#4946C2211yescharacteristic
143#4946C2211yescharacteristic
144#4946C2211yescharacteristic
145#4946C2211yescharacteristic
146#4946C2211yescharacteristic
147#4946C2211yescharacteristic
148#4946C2211yescharacteristic, complemented
149#4945C2211yescharacteristic
150#4945C2211yescharacteristic, complemented
151#4944C2211yescharacteristic
152#4944C2211yescharacteristic, complemented
153#4943C2211yescharacteristic
154#4942C2211yescharacteristic
155#4942C2211yescharacteristic
156Dic3×C22⋊C4C2211yescharacteristic
157Dic3×C22⋊C4C2211yescharacteristic, complemented
158#4675C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4674C2211yescharacteristic, complemented
161#4668C2211yescharacteristic, complemented
162#4668C2211yescharacteristic, complemented
163#4668C2211yescharacteristic, complemented
164#4667C2211yescharacteristic, complemented
165#4664C2211yescharacteristic, complemented
166#4661C2211yescharacteristic, complemented
167#4660C2211yescharacteristic, complemented
168#4658C2211yescharacteristic, complemented
169#4657C2211yescharacteristic, complemented
170#4657C2211yescharacteristic, complemented
171#4657C2211yescharacteristic, complemented
172#4657C2211yescharacteristic, complemented
173#4657C2211yescharacteristic, complemented
174#4656C2211yescharacteristic, complemented
175#4656C2211yescharacteristic, complemented
176#4656C2211yescharacteristic, complemented
177#4655C2211yescharacteristic, complemented
178#4655C2211yescharacteristic, complemented
179#4654C2211yescharacteristic, complemented
180#4654C2211yescharacteristic, complemented
181#4652C2211yescharacteristic, complemented
182#4652C2211yescharacteristic, complemented
183#4649C2211yescharacteristic, complemented
184#4647C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#525—31no—
192#2724—31no—
193#2718—31no—
194#2718—31no—
195#2717—31no—
196#2478—31no—
197#2478—31no—
198#2449—31no—
199#2449—31no—
200#2443—31no—
201#2443—31no—
202#2440—31no—
203#2440—31no—
204#2438—31no—
205#2438—31no—
206#2432—31no—
207#2425—31no—
208#2425—31no—
209#2419—31no—
210#2419—31no—
211#2412—31no—
212#2412D311yescharacteristic, complemented
213#2406—31no—
214#2359—31no—
215#2359—31no—
216#2358—31no—
217D4×C4⋊C4—31no—
218D4×C4⋊C4—31no—
219C2×#385—31no—
220C2×#385—31no—
221C25×C3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C23×Dic3—24no—
234C23×Dic3—42no—
235C23×Dic3—42no—
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C2×#237—24no—
248C2×#237—42no—
249C2×#237—42no—
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C22×Dic6C2311yescharacteristic
255C3×#123—24no—
256C3×#120—24no—
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4—24no—
262C2×C3×C22⋊C4—24no—
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×C22⋊C4C2311yescharacteristic
278#953D418yes—
279C2×#217—24no—
280C2×#217—24no—
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
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298#939—24no—
299#939—24no—
300#935—24no—
301#935—24no—
302D4×Dic3—24no—
303D4×Dic3—24no—
304#929—24no—
305C4×#67—24no—
306C4×#67—24no—
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
315#926—24no—
316C2×C4⋊Dic3—42no—
317C2×C4⋊Dic3—42no—
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
330C2×C4⋊Dic3C2311yescharacteristic
331#924—24no—
332C2×Dic3⋊C4—42no—
333C2×Dic3⋊C4—42no—
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×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366D3×C4⋊C4—42no—
367#888—42no—
368#886—24no—
369#886—24no—
370#885—24no—
371#883—24no—
372#883—42no—
373#67⋊C4—24no—
374#67⋊C4—24no—
375#67⋊C4—24no—
376#67⋊C4—24no—
377#879—24no—
378#879—24no—
379#878—24no—
380#878—24no—
381#878—24no—
382#878—42no—
383#877—24no—
384#877—24no—
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
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C24×C4—31no—
425#551—68no—
426C2×C4⋊Q8—31no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#124—31no—
430#525—68no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123C2×D311yescharacteristic
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#120—31no—
447C2×#120C2×D311yescharacteristic
448C2×C4×D4—31no—
449C2×C4×D4—31no—
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×#117—31no—
457C2×#117—31no—
458C2×#117—31no—
459C22×C4⋊C4—31no—
460C22×C4⋊C4—31no—
461C22×C4⋊C4—31no—
462C22×C4⋊C4—31no—
463C22×C4⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4C2×D311yescharacteristic
467C22×C22⋊C4C2×D311yescharacteristic
468#400—31no—
469#400—31no—
470#399—31no—
471#399—31no—
472#398—31no—
473#398—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#398—31no—
479#398—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#397C2×D311yescharacteristic
487#397C2×D311yescharacteristic
488#396—31no—
489#396—31no—
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#394C2×D311yescharacteristic
499#394C2×D311yescharacteristic
500#391—31no—
501#390—31no—
502#389—31no—
503#389—31no—
504#389—31no—
505#389—31no—
506#389—31no—
507#389—31no—
508#389—31no—
509#389—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#387—31no—
517#387—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#387—31no—
523#387—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386C2×D311yescharacteristic
532#386C2×D311yescharacteristic
533#386C2×D311yescharacteristic
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#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385C2×D311yescharacteristic
560#384—31no—
561#384—31no—
562#381—31no—
563#381—31no—
564#381C2×D311yescharacteristic
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380C2×D311yescharacteristic
570#380C2×D311yescharacteristic
571C4×C4⋊C4—31no—
572C4×C4⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C2×#95—31no—
577C2×#95—31no—
578C2×#95—31no—
579C2×#95—31no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—22no—
584C24×C3—41no—
585C24×C3—41no—
586C24×C3C2×D414yes—
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C2×C3×D4—22no—
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—41no—
600C2×C3×D4—41no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—22no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67C2×D414yes—
634C2×#67C2×D414yes—
635C2×#67C2×D414yes—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—22no—
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—22no—
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—41no—
659C22×Dic3—41no—
660C22×Dic3—41no—
661C22×Dic3—41no—
662C22×Dic3—41no—
663C22×Dic3—41no—
664C22×Dic3—41no—
665C22×Dic3—41no—
666C22×Dic3—41no—
667C22×Dic3—41no—
668C22×Dic3—41no—
669C22×Dic3—416no—
670C22×Dic3C2411yescharacteristic
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×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×Dic6—22no—
696C2×Dic6—22no—
697C2×Dic6—22no—
698C2×Dic6—41no—
699C2×Dic6—41no—
700C2×Dic6—41no—
701C3×C4⋊C4—22no—
702C3×C4⋊C4—22no—
703C3×C4⋊C4—41no—
704C3×C4⋊C4—41no—
705C3×C22⋊C4—22no—
706C3×C22⋊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—22no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—41no—
718C3×C22⋊C4—41no—
719C3×C22⋊C4#4114yescomplemented
720#217—22no—
721#217—22no—
722#217—22no—
723#217—22no—
724#217—22no—
725#217—22no—
726#217—22no—
727#217—22no—
728#217—22no—
729#217—22no—
730#217—22no—
731#217—41no—
732#217—41no—
733#217C2×D414yes—
734#217C2×D414yes—
735#217C2×D414yes—
736#217#4114yescomplemented
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—41no—
745C4⋊Dic3—22no—
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—22no—
751C4⋊Dic3—22no—
752C4⋊Dic3—22no—
753C4⋊Dic3—22no—
754C4⋊Dic3—41no—
755C4⋊Dic3—41no—
756C4⋊Dic3—41no—
757C4⋊Dic3—41no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—41no—
776Dic3⋊C4—41no—
777Dic3⋊C4—41no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782C4×Dic3—22no—
783C4×Dic3—22no—
784C4×Dic3—22no—
785C4×Dic3—22no—
786C4×Dic3—22no—
787C4×Dic3—22no—
788C4×Dic3—22no—
789C4×Dic3—41no—
790C25C22×D311yescharacteristic
791C2×#41—64no—
792C2×#41—122no—
793C2×#41—122no—
794C22×Q8—31no—
795C22×Q8—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4C22×D311yescharacteristic
801C22×D4C22×D311yescharacteristic
802C22×D4C22×D311yescharacteristic
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—64no—
818C23×C4—122no—
819C23×C4—122no—
820C23×C4C22×D311yescharacteristic
821C23×C4C22×D311yescharacteristic
822C23×C4C22×D311yescharacteristic
823C23×C4C22×D311yescharacteristic
824C4⋊Q8—122no—
825#126—64no—
826#126—64no—
827#124—64no—
828#123—24no—
829#123—64no—
830#123—64no—
831#123—64no—
832#123—64no—
833#123—64no—
834#123—64no—
835#123—122no—
836C22⋊Q8—64no—
837C22⋊Q8—64no—
838C22⋊Q8—64no—
839C22⋊Q8—64no—
840C22⋊Q8—122no—
841#121—64no—
842#121—64no—
843#120—24no—
844#120—38no—
845C4×D4—64no—
846C4×D4—64no—
847C4×D4—64no—
848C4×D4—64no—
849C4×D4—64no—
850C4×D4—64no—
851C4×D4—64no—
852C4×D4—64no—
853#117—64no—
854#117—64no—
855#117—64no—
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—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—122no—
894C2×C4⋊C4—122no—
895C2×C4⋊C4—122no—
896C2×C4⋊C4—122no—
897C2×C4⋊C4—122no—
898C2×C4⋊C4C22×D311yescharacteristic
899C2×C4⋊C4C22×D311yescharacteristic
900C2×C4⋊C4C22×D311yescharacteristic
901C2×C4⋊C4C22×D311yescharacteristic
902C2×C22⋊C4—24no—
903C2×C22⋊C4—24no—
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—64no—
930C2×C22⋊C4—64no—
931C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
947C2×C42—31no—
948C2×C42—31no—
949C2×C42—31no—
950C2×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—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#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—28no—
1001C23×C3—28no—
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—44no—
1016C23×C3—44no—
1017C23×C3—44no—
1018C23×C3—44no—
1019C23×C3—44no—
1020C23×C3C22×D412yes—
1021C23×C3C22×D412yes—
1022C23×C3C22×D412yes—
1023C23×C3C2×#4112yes—
1024C23×C3C2×#4112yes—
1025C23×C32−1+412yes—
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×D3C22×D412yes—
1035C3×D4—44no—
1036C3×D4—44no—
1037C3×D4—44no—
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—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—44no—
1070C2×C3×C4—44no—
1071C2×C3×C4—44no—
1072C2×C3×C4—82no—
1073C2×C3×C4C2×#4112yes—
1074C2×C3×C4C2×#4112yes—
1075#67—28no—
1076#67—28no—
1077#67—44no—
1078#67—44no—
1079C2×Dic3—28no—
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—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—44no—
1119C2×Dic3—44no—
1120C2×Dic3—44no—
1121C2×Dic3—44no—
1122C2×Dic3—44no—
1123C2×Dic3—44no—
1124C2×Dic3—44no—
1125C2×Dic3—44no—
1126C2×Dic3—44no—
1127C2×Dic3—82no—
1128C2×Dic3C22×D412yes—
1129C2×Dic3C22×D412yes—
1130C2×Dic3C22×D412yes—
1131C2×Dic3C2×#4112yes—
1132C2×Dic3C2×#4112yes—
1133C2×Dic3H(5,𝔽2)12yes—
1134C2×Dic3H(5,𝔽2)12yes—
1135C4×D3—44no—
1136C4×D3—44no—
1137C4×D3—82no—
1138Dic6—44no—
1139Dic6—82no—
1140C24—22no—
1141C24—22no—
1142C24—22no—
1143C24—22no—
1144C24—31no—
1145C24—41no—
1146C24—41no—
1147C24D3×D414yes—
1148C24C23×D311yescharacteristic
1149C24C23×D311yescharacteristic
1150C24C23×D311yescharacteristic
1151C24C23×D311yescharacteristic
1152#41—1216no—
1153C2×Q8—62no—
1154C2×Q8—62no—
1155C2×Q8—62no—
1156C2×Q8—121no—
1157C2×Q8—121no—
1158C2×Q8—121no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—34no—
1167C2×D4—34no—
1168C2×D4—34no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—121no—
1178C2×D4—121no—
1179C2×D4—121no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—62no—
1208C22×C4—62no—
1209C22×C4—62no—
1210C22×C4—62no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
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—121no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4—121no—
1247C22×C4—121no—
1248C22×C4—121no—
1249C22×C4—1216no—
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C22×C4C23×D311yescharacteristic
1258C22×C4C23×D311yescharacteristic
1259C22×C4C23×D311yescharacteristic
1260C22×C4C23×D311yescharacteristic
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
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—121no—
1292C4⋊C4—121no—
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—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—34no—
1315C22⋊C4—34no—
1316C22⋊C4—34no—
1317C22⋊C4—34no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
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—121no—
1339C22⋊C4—121no—
1340C22⋊C4—121no—
1341C22⋊C4#23714yescomplemented
1342C42—62no—
1343C42—62no—
1344C42—62no—
1345C42—62no—
1346C42—62no—
1347C42—62no—
1348C42—62no—
1349C42—121no—
1350C22×C3—22no—
1351C22×C3—22no—
1352C22×C3—22no—
1353C22×C3—22no—
1354C22×C3—22no—
1355C22×C3—22no—
1356C22×C3—22no—
1357C22×C3—22no—
1358C22×C3—22no—
1359C22×C3—22no—
1360C22×C3—22no—
1361C22×C3—22no—
1362C22×C3—22no—
1363C22×C3—22no—
1364C22×C3—22no—
1365C22×C3—416no—
1366C22×C3—41no—
1367C22×C3—41no—
1368C22×C3—41no—
1369C22×C3—41no—
1370C22×C3—41no—
1371C22×C3—41no—
1372C22×C3—41no—
1373C22×C3—41no—
1374C22×C3—41no—
1375C22×C3—41no—
1376C22×C3—41no—
1377C22×C3#54714yes—
1378C22×C3#54714yes—
1379C22×C3C23×D411yescharacteristic
1380C22×C3C22×#4111yescharacteristic
1381C22×C3C22×#4111yescharacteristic
1382C22×C3C2×H(5,𝔽2)11yescharacteristic
1383C22×C3C2×H(5,𝔽2)11yescharacteristic
1384C22×C3C2×2−1+411yescharacteristic
1385C22×C3C2×2−1+411yescharacteristic
1386C2×D3—22no—
1387C2×D3—22no—
1388C2×D3—22no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C3×C4—22no—
1394C3×C4—22no—
1395C3×C4—41no—
1396C3×C4—41no—
1397C3×C4—41no—
1398C3×C4—41no—
1399C3×C4—41no—
1400C3×C4—41no—
1401C3×C4—41no—
1402C3×C4—41no—
1403C3×C4—41no—
1404Dic3—22no—
1405Dic3—22no—
1406Dic3—22no—
1407Dic3—22no—
1408Dic3—22no—
1409Dic3—22no—
1410Dic3—22no—
1411Dic3—41no—
1412Dic3—41no—
1413Dic3—41no—
1414Dic3—41no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418Dic3—41no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—28no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—28no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—32no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23C2×D3×D412yes—
1455C23C2×D3×D412yes—
1456C23C2×D3×D412yes—
1457C23C2×#23712yes—
1458C23D3×#4112yes—
1459C23#101012yes—
1460C23#101012yes—
1461C23C24×D311yescharacteristic
1462Q8—124no—
1463Q8—242no—
1464D4—44no—
1465D4—44no—
1466D4—44no—
1467D4—68no—
1468D4—68no—
1469D4—124no—
1470D4—124no—
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—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—32no—
1503C2×C4—32no—
1504C2×C4—32no—
1505C2×C4—32no—
1506C2×C4—32no—
1507C2×C4—32no—
1508C2×C4—32no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—68no—
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—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
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—82no—
1552C2×C4—124no—
1553C2×C4—124no—
1554C2×C4—124no—
1555C2×C4—124no—
1556C2×C4—124no—
1557C2×C4—124no—
1558C2×C4—124no—
1559C2×C4—124no—
1560C2×C4—124no—
1561C2×C4—124no—
1562C2×C4—124no—
1563C2×C4—242no—
1564C2×C4—242no—
1565C2×C4C2×#23712yes—
1566C2×C4C2×#23712yes—
1567C2×C3—24no—
1568C2×C3—24no—
1569C2×C3—42no—
1570C2×C3—81no—
1571C2×C3C2×#54711yescharacteristic
1572C2×C3C2×#54711yescharacteristic
1573C2×C3#348111yescharacteristic
1574C2×C3#348411yescharacteristic
1575C2×C3#352011yescharacteristic
1576C2×C3#352011yescharacteristic
1577C2×C3#353811yescharacteristic
1578D3—42no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—416no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—62no—
1607C22—62no—
1608C22—62no—
1609C22—121no—
1610C22—121no—
1611C22—121no—
1612C22—121no—
1613C22#561114yes—
1614C22#565514yes—
1615C22C22×D3×D411yescharacteristic
1616C22C22×#23711yescharacteristic
1617C22C2×D3×#4111yescharacteristic
1618C22C2×#101011yescharacteristic
1619C22C2×#101011yescharacteristic
1620C22D3×H(5,𝔽2)11yescharacteristic
1621C22D3×H(5,𝔽2)11yescharacteristic
1622C4—22no—
1623C4—22no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—62no—
1634C4—62no—
1635C4—62no—
1636C4—62no—
1637C4—62no—
1638C4—62no—
1639C4—62no—
1640C4—121no—
1641C4—121no—
1642C4—121no—
1643C4—121no—
1644C4—121no—
1645C4—121no—
1646C4—121no—
1647C4—121no—
1648C3#5910711yescharacteristic, complemented, Sylow
1649C2—24no—
1650C2—24no—
1651C2—42no—
1652C2—81no—
1653C2—122no—
1654C2C2×#561111yescharacteristic
1655C2C2×#565511yescharacteristic
1656C2#8630811yescharacteristic
1657C2#8662811yescharacteristic
1658C2#8664111yescharacteristic
1659C2#8679811yescharacteristic
1660C2#8680311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2412C2
prime radicalC2×#5586C2
hypercenter#2412D3
hypocenterC3#59107
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2412

Complements

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

NH ≅ G/Ntype
2. C2×#5495C2semidirect
3. C3×#2412C2semidirect
4. #82846C2semidirect
5. #82838C2semidirect
6. #82584C2semidirect
7. #82099C2semidirect
8. C2×#4950C2semidirect
9. C2×#4946C2semidirect
10. #77595C2semidirect
11. #77589C2semidirect
12. #77479C2semidirect
13. #77478C2semidirect
14. #77107C2semidirect
15. #77040C2semidirect
16. #77039C2semidirect
17. #76904C2semidirect
18. #74710C2semidirect
19. #74709C2semidirect
20. #74704C2semidirect
21. #74702C2semidirect
22. #74696C2semidirect
23. #74675C2semidirect
24. #74416C2semidirect
25. #74393C2semidirect
26. #74067C2semidirect
27. #74065C2semidirect
28. #74010C2semidirect
29. #73899C2semidirect
30. #73897C2semidirect
31. #73890C2semidirect
58. C2×D3×C4⋊C4C22semidirect
59. C2×#888C22semidirect
65. C2×#883C22semidirect
75. C2×#878C22semidirect
101. #4992C22semidirect
102. #4989C22semidirect
103. #4987C22semidirect
104. #4984C22semidirect
105. #4983C22semidirect
106. #4982C22semidirect
107. #4980C22semidirect
108. #4980C22semidirect
109. #4979C22semidirect
110. #4976C22semidirect
111. #4975C22semidirect
112. #4975C22semidirect
113. Dic3×C4⋊C4C22semidirect
114. #4972C22semidirect
115. #4961C22semidirect
116. #4959C22semidirect
120. #4956C22semidirect
123. #4951C22semidirect
124. #4951C22semidirect
133. #4950C22semidirect
134. #4949C22semidirect
135. #4949C22semidirect
136. #4948C22semidirect
137. #4948C22semidirect
148. #4946C22semidirect
150. #4945C22semidirect
152. #4944C22semidirect
157. Dic3×C22⋊C4C22semidirect
158. #4675C22semidirect
159. #4675C22semidirect
160. #4674C22semidirect
161. #4668C22semidirect
162. #4668C22semidirect
163. #4668C22semidirect
164. #4667C22semidirect
165. #4664C22semidirect
166. #4661C22semidirect
167. #4660C22semidirect
168. #4658C22semidirect
169. #4657C22semidirect
170. #4657C22semidirect
171. #4657C22semidirect
172. #4657C22semidirect
173. #4657C22semidirect
174. #4656C22semidirect
175. #4656C22semidirect
176. #4656C22semidirect
177. #4655C22semidirect
178. #4655C22semidirect
179. #4654C22semidirect
180. #4654C22semidirect
181. #4652C22semidirect
182. #4652C22semidirect
183. #4649C22semidirect
184. #4647C22semidirect
185. #4647C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
212. #2412D3semidirect
719. C3×C22⋊C4#41semidirect
736. #217#41semidirect
1341. C22⋊C4#237semidirect
1648. C3#59107semidirect

Maximal subgroups

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

subgroupindex
C2×#55862
C2×#54952
C3×#24122
#828462
#828382
#825842
#820992
C2×#49502
C2×#49462
#775952
#775892
#774792
#774782
#771072
#770402
#770392
#769042
#747102
#747092
#747042
#747022
#746962
#746752
#744162
#743932
#740672
#740652
#740102
#738992
#738972
#738902
#591073