Finite Group Databasebeta

← #11025055

Subgroups — #11025055

Order 768.

2540 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5665C211yesmaximal, characteristic, complemented
2C22×#878C211yesmaximal, characteristic, complemented
3C3×#2412C211yesmaximal, characteristic, complemented
4#82857C211yesmaximal, characteristic, complemented
5#82601C211yesmaximal, characteristic
6#82579C211yesmaximal, characteristic, complemented
7#82107C211yesmaximal, characteristic, complemented
8#82099C211yesmaximal, characteristic, complemented
9C2×#4950C211yesmaximal, characteristic, complemented
10#77703C211yesmaximal, characteristic, complemented
11#77594C211yesmaximal, characteristic, complemented
12#77573C211yesmaximal, characteristic, complemented
13#77572C211yesmaximal, characteristic, complemented
14#77139C211yesmaximal, characteristic, complemented
15#77043C211yesmaximal, characteristic, complemented
16#77041C211yesmaximal, characteristic, complemented
17#77006C211yesmaximal, characteristic, complemented
18#74785C211yesmaximal, characteristic, complemented
19#74735C211yesmaximal, characteristic, complemented
20#74710C211yesmaximal, characteristic, complemented
21#74703C211yesmaximal, characteristic, complemented
22#74702C211yesmaximal, characteristic, complemented
23#74689C211yesmaximal, characteristic, complemented
24#74422C211yesmaximal, characteristic, complemented
25#74387C211yesmaximal, characteristic, complemented
26#74090C211yesmaximal, characteristic, complemented
27#74076C211yesmaximal, characteristic, complemented
28#74017C211yesmaximal, characteristic, complemented
29#73910C211yesmaximal, characteristic, complemented
30#73902C211yesmaximal, characteristic, complemented
31#73901C211yesmaximal, characteristic, complemented
32#37702—31nomaximal, Sylow
33C24×Dic3C2211yescharacteristic
34C23×Dic6C2211yescharacteristic
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×#939C2211yescharacteristic
45C2×D4×Dic3C2211yescharacteristic
46C2×D4×Dic3C2211yescharacteristic
47C2×#929C2211yescharacteristic
48C2×C4×#67C2211yescharacteristic
49C22×C4⋊Dic3C2211yescharacteristic
50C22×C4⋊Dic3C2211yescharacteristic
51C22×C4⋊Dic3C2211yescharacteristic
52C22×Dic3⋊C4C2211yescharacteristic
53C22×Dic3⋊C4C2211yescharacteristic
54#5665—28no—
55C2×#898C2211yescharacteristic, complemented
56C2×#897C2211yescharacteristic, complemented
57C2×#897C2211yescharacteristic, complemented
58C2×#890C2211yescharacteristic, complemented
59C2×#889C2211yescharacteristic, complemented
60C2×#886C2211yescharacteristic, complemented
61C2×#883C2211yescharacteristic, complemented
62C2×#67⋊C4C2211yescharacteristic
63C2×#879C2211yescharacteristic, complemented
64C2×#878—28no—
65C2×#878C2211yescharacteristic
66C2×#878C2211yescharacteristic
67C2×#878C2211yescharacteristic
68C2×#878C2211yescharacteristic
69C2×#878C2211yescharacteristic
70C2×#878C2211yescharacteristic
71C2×#878C2211yescharacteristic
72C2×#878C2211yescharacteristic
73C2×#878C2211yescharacteristic, complemented
74C2×#878C2211yescharacteristic, complemented
75C3×#397C2211yescharacteristic
76C3×#397C2211yescharacteristic
77C3×#394C2211yescharacteristic
78C3×#394C2211yescharacteristic
79C3×#386C2211yescharacteristic
80C3×#386C2211yescharacteristic
81C3×#386C2211yescharacteristic
82C3×#385C2211yescharacteristic
83C3×#381C2211yescharacteristic
84C3×#380C2211yescharacteristic
85C3×#380C2211yescharacteristic
86#5221C2211yescharacteristic
87#5220C2211yescharacteristic
88#5220C2211yescharacteristic
89#5220C2211yescharacteristic
90#5220C2211yescharacteristic
91#5220C2211yescharacteristic
92#5220C2211yescharacteristic
93#5213C2211yescharacteristic
94#5213C2211yescharacteristic
95#5211C2211yescharacteristic
96#5210C2211yescharacteristic
97#5210C2211yescharacteristic
98C4×#217C2211yescharacteristic
99C2×C3⋊#95C2211yescharacteristic
100C2×C3⋊#95C2211yescharacteristic
101#4994C2211yescharacteristic, complemented
102#4985C2211yescharacteristic, complemented
103#4985C2211yescharacteristic, complemented
104#4984C2211yescharacteristic, complemented
105#4981C2211yescharacteristic, complemented
106#4978C2211yescharacteristic, complemented
107#4977C2211yescharacteristic, complemented
108#4976C2211yescharacteristic, complemented
109#4973C2211yescharacteristic, complemented
110#4973C2211yescharacteristic, complemented
111#4972C2211yescharacteristic, complemented
112#4961C2211yescharacteristic, complemented
113#4959C2211yescharacteristic
114#4959C2211yescharacteristic
115#4959C2211yescharacteristic, complemented
116#4958C2211yescharacteristic
117#4958C2211yescharacteristic
118#4958C2211yescharacteristic
119#4958C2211yescharacteristic
120#4958C2211yescharacteristic
121#4958C2211yescharacteristic
122#4957C2211yescharacteristic
123#4956C2211yescharacteristic
124#4953C2211yescharacteristic, complemented
125#4952C2211yescharacteristic
126#4952C2211yescharacteristic
127#4952C2211yescharacteristic, complemented
128#4951C2211yescharacteristic
129#4951C2211yescharacteristic
130#4950C2211yescharacteristic
131#4950C2211yescharacteristic
132#4950C2211yescharacteristic
133#4950C2211yescharacteristic
134#4950C2211yescharacteristic
135#4950C2211yescharacteristic
136#4950C2211yescharacteristic
137#4950C2211yescharacteristic
138#4950C2211yescharacteristic
139#4950C2211yescharacteristic
140#4950C2211yescharacteristic, complemented
141#4949C2211yescharacteristic, complemented
142#4948C2211yescharacteristic, complemented
143#4947C2211yescharacteristic, complemented
144#4947C2211yescharacteristic, complemented
145#4946C2211yescharacteristic
146#4945C2211yescharacteristic
147#4945C2211yescharacteristic, complemented
148#4945C2211yescharacteristic, complemented
149#4944C2211yescharacteristic
150#4942C2211yescharacteristic
151#4942C2211yescharacteristic
152#4942C2211yescharacteristic
153#4942C2211yescharacteristic
154#4942C2211yescharacteristic
155Dic3×C22⋊C4C2211yescharacteristic
156Dic3×C22⋊C4C2211yescharacteristic
157Dic3×C22⋊C4C2211yescharacteristic
158#4677C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4675C2211yescharacteristic, complemented
161#4673C2211yescharacteristic, complemented
162#4673C2211yescharacteristic, complemented
163#4670C2211yescharacteristic, complemented
164#4669C2211yescharacteristic, complemented
165#4668C2211yescharacteristic, complemented
166#4661C2211yescharacteristic, complemented
167#4661C2211yescharacteristic, complemented
168#4661C2211yescharacteristic, complemented
169#4660C2211yescharacteristic, complemented
170#4660C2211yescharacteristic, complemented
171#4660C2211yescharacteristic, complemented
172#4660C2211yescharacteristic, complemented
173#4658C2211yescharacteristic, complemented
174#4658C2211yescharacteristic, complemented
175#4657C2211yescharacteristic, complemented
176#4657C2211yescharacteristic, complemented
177#4656C2211yescharacteristic, complemented
178#4656C2211yescharacteristic, complemented
179#4656C2211yescharacteristic, complemented
180#4656C2211yescharacteristic, complemented
181#4654C2211yescharacteristic, complemented
182#4653C2211yescharacteristic, complemented
183#4653C2211yescharacteristic, complemented
184#4652C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4650C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#539—31no—
191C22×C22⋊Q8—31no—
192#2847—31no—
193#2728—31no—
194#2728—31no—
195#2723—31no—
196#2723—31no—
197#2690—31no—
198#2690—31no—
199#2681—31no—
200#2681—31no—
201#2639—31no—
202#2627—31no—
203#2488—31no—
204#2488—31no—
205#2481—31no—
206#2481—31no—
207#2449—31no—
208#2449—31no—
209#2443—31no—
210#2443—31no—
211#2442—31no—
212#2442—31no—
213#2412—31no—
214#2412D311yescharacteristic, complemented
215#2409—31no—
216#2409—31no—
217#2358—31no—
218#2358—31no—
219#2329—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
247C22×C4×D3C2311yescharacteristic
248C22×Dic6—24no—
249C22×Dic6—42no—
250C22×Dic6—42no—
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
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#953—24no—
279C2×#217—24no—
280C2×#217—42no—
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—42no—
300#939—42no—
301D4×Dic3—24no—
302D4×Dic3—42no—
303#929—24no—
304C4×#67—42no—
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×C4⋊Dic3—24no—
316C2×C4⋊Dic3—24no—
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
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×Dic3⋊C4—24no—
334C2×Dic3⋊C4—24no—
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×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359#898—24no—
360#897—24no—
361#897—42no—
362#890—24no—
363#889—24no—
364#886—24no—
365#883—24no—
366#67⋊C4—24no—
367#879—24no—
368#878—24no—
369#878—24no—
370#878—24no—
371#878—24no—
372#878—24no—
373#878—24no—
374#878—24no—
375#878—24no—
376#878—42no—
377#878D418yescomplemented
378C3×#95C2311yescharacteristic
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
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
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C23×Q8—31no—
421C24×C4—31no—
422#539—68no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#125—31no—
426C2×#125—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123C2×D311yescharacteristic
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—68no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#120—31no—
448C2×#120C2×D311yescharacteristic
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C22×C4⋊C4—31no—
454C22×C4⋊C4—31no—
455C22×C4⋊C4—31no—
456C22×C4⋊C4—31no—
457C22×C4⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4C2×D311yescharacteristic
461C22×C22⋊C4C2×D311yescharacteristic
462#400—31no—
463#400—31no—
464#400—31no—
465#400—31no—
466#400—31no—
467#400—31no—
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#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397C2×D311yescharacteristic
485#397C2×D311yescharacteristic
486#396—31no—
487#396—31no—
488#395—31no—
489#395—31no—
490#395—31no—
491#395—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394C2×D311yescharacteristic
497#394C2×D311yescharacteristic
498#393—31no—
499#393—31no—
500#393—31no—
501#393—31no—
502#391—31no—
503#391—31no—
504#391—31no—
505#391—31no—
506#390—31no—
507#390—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#387—31no—
521#387—31no—
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386C2×D311yescharacteristic
542#386C2×D311yescharacteristic
543#386C2×D311yescharacteristic
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385C2×D311yescharacteristic
560#382—31no—
561#382—31no—
562#381—31no—
563#381C2×D311yescharacteristic
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380C2×D311yescharacteristic
570#380C2×D311yescharacteristic
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C2×#95—31no—
576C2×#95—31no—
577C24×C3—22no—
578C24×C3—22no—
579C24×C3—22no—
580C24×C3—22no—
581C24×C3—41no—
582C24×C3—41no—
583C24×C3#4114yes—
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C2×C3×D4—22no—
590C2×C3×D4—22no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
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
620C22×C3×C4C2411yescharacteristic
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—22no—
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—41no—
651C22×Dic3—41no—
652C22×Dic3—41no—
653C22×Dic3—41no—
654C22×Dic3—41no—
655C22×Dic3—41no—
656C22×Dic3—41no—
657C22×Dic3—41no—
658C22×Dic3—41no—
659C22×Dic3—41no—
660C22×Dic3—41no—
661C22×Dic3—41no—
662C22×Dic3—41no—
663C22×Dic3—41no—
664C22×Dic3—41no—
665C22×Dic3—416no—
666C22×Dic3C2×D414yes—
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C2×C4×D3—22no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×Dic6—22no—
686C2×Dic6—22no—
687C2×Dic6—22no—
688C2×Dic6—22no—
689C2×Dic6—22no—
690C2×Dic6—41no—
691C2×Dic6—41no—
692C2×Dic6—41no—
693C2×Dic6—41no—
694C2×Dic6—41no—
695C2×Dic6—41no—
696C2×Dic6—416no—
697C2×Dic6C2×D414yes—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—41no—
701C3×C4⋊C4—41no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
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—41no—
715C3×C22⋊C4—41no—
716C3×C22⋊C4C2×D414yes—
717#217—22no—
718#217—22no—
719#217—22no—
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—41no—
729#217—41no—
730#217—41no—
731#217—41no—
732#217—41no—
733#217C2×D414yes—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744C4⋊Dic3—22no—
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—
758C4⋊Dic3C2×D414yes—
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—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4—41no—
773Dic3⋊C4—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4C2×D414yes—
776Dic3⋊C4C2×D414yes—
777C4×Dic3—22no—
778C4×Dic3—22no—
779C4×Dic3—41no—
780C4×Dic3—41no—
781C4×Dic3—41no—
782C4×Dic3—41no—
783C25C22×D311yescharacteristic
784C22×Q8—31no—
785C22×Q8—31no—
786C22×Q8—31no—
787C22×Q8—31no—
788C22×Q8—64no—
789C22×Q8—122no—
790C22×Q8—122no—
791C22×D4—31no—
792C22×D4—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4C22×D311yescharacteristic
796C22×D4C22×D311yescharacteristic
797C22×D4C22×D311yescharacteristic
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—64no—
811C23×C4—122no—
812C23×C4—122no—
813C23×C4C22×D311yescharacteristic
814C23×C4C22×D311yescharacteristic
815C23×C4C22×D311yescharacteristic
816C23×C4C22×D311yescharacteristic
817#126—64no—
818#126—64no—
819#125—64no—
820#125—64no—
821#123—24no—
822#123—64no—
823#123—64no—
824#123—64no—
825C22⋊Q8—38no—
826C22⋊Q8—64no—
827C22⋊Q8—64no—
828C22⋊Q8—64no—
829C22⋊Q8—64no—
830C22⋊Q8—64no—
831C22⋊Q8—64no—
832C22⋊Q8—64no—
833C22⋊Q8—64no—
834C22⋊Q8—64no—
835C22⋊Q8—122no—
836C22⋊Q8—122no—
837#121—64no—
838#121—122no—
839#121—122no—
840#120—24no—
841#120—64no—
842C4×D4—64no—
843C4×D4—64no—
844C4×D4—122no—
845C4×D4—122no—
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—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—64no—
880C2×C4⋊C4—64no—
881C2×C4⋊C4—64no—
882C2×C4⋊C4—64no—
883C2×C4⋊C4—122no—
884C2×C4⋊C4C22×D311yescharacteristic
885C2×C4⋊C4C22×D311yescharacteristic
886C2×C4⋊C4C22×D311yescharacteristic
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C22⋊C4—24no—
889C2×C22⋊C4—24no—
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—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—64no—
918C2×C22⋊C4—122no—
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×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—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#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—28no—
991C23×C3—28no—
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—44no—
1006C23×C3—44no—
1007C23×C3—44no—
1008C23×C3—44no—
1009C23×C3—44no—
1010C23×C3C22×D412yes—
1011C23×C3C2×#4112yes—
1012C23×C3C2×#4112yes—
1013C23×C3C2×#4112yes—
1014C23×C3H(5,𝔽2)12yes—
1015C23×C32−1+412yes—
1016C23×C32−1+412yes—
1017C23×C3C2511yescharacteristic
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C3×D4—44no—
1026C3×D4—44no—
1027C3×D4—82no—
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—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—44no—
1060C2×C3×C4—44no—
1061C2×C3×C4—44no—
1062C2×C3×C4—44no—
1063C2×C3×C4C22×D412yes—
1064C2×C3×C4C22×D412yes—
1065#67—44no—
1066#67—44no—
1067#67—82no—
1068#67—82no—
1069C2×Dic3—28no—
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—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—44no—
1111C2×Dic3—44no—
1112C2×Dic3—44no—
1113C2×Dic3—44no—
1114C2×Dic3—44no—
1115C2×Dic3—44no—
1116C2×Dic3—44no—
1117C2×Dic3—82no—
1118C2×Dic3—82no—
1119C2×Dic3—82no—
1120C2×Dic3C22×D412yes—
1121C2×Dic3C22×D412yes—
1122C2×Dic3C22×D412yes—
1123C2×Dic3C22×D412yes—
1124C2×Dic3H(5,𝔽2)12yes—
1125C4×D3—82no—
1126Dic6—44no—
1127Dic6—44no—
1128Dic6—44no—
1129Dic6—44no—
1130C24—22no—
1131C24—22no—
1132C24—22no—
1133C24—22no—
1134C24—31no—
1135C24—41no—
1136C24—41no—
1137C24#23714yes—
1138C24C23×D311yescharacteristic
1139C24C23×D311yescharacteristic
1140C24C23×D311yescharacteristic
1141C24C23×D311yescharacteristic
1142C2×Q8—34no—
1143C2×Q8—62no—
1144C2×Q8—62no—
1145C2×Q8—62no—
1146C2×Q8—62no—
1147C2×Q8—62no—
1148C2×Q8—121no—
1149C2×Q8—121no—
1150C2×Q8—121no—
1151C2×Q8—121no—
1152C2×Q8—121no—
1153C2×Q8—121no—
1154C2×Q8—1216no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—121no—
1173C2×D4—121no—
1174C2×D4—121no—
1175C2×D4—121no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—34no—
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—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—62no—
1205C22×C4—62no—
1206C22×C4—62no—
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—121no—
1223C22×C4—121no—
1224C22×C4—121no—
1225C22×C4—121no—
1226C22×C4—121no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4—121no—
1231C22×C4—121no—
1232C22×C4—121no—
1233C22×C4—121no—
1234C22×C4—121no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—1216no—
1240C22×C4C23×D311yescharacteristic
1241C22×C4C23×D311yescharacteristic
1242C22×C4C23×D311yescharacteristic
1243C22×C4C23×D311yescharacteristic
1244C22×C4C23×D311yescharacteristic
1245C22×C4C23×D311yescharacteristic
1246C22×C4C23×D311yescharacteristic
1247C22×C4C23×D311yescharacteristic
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—34no—
1254C4⋊C4—34no—
1255C4⋊C4—34no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
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—121no—
1279C4⋊C4—121no—
1280C4⋊C4—121no—
1281C4⋊C4—121no—
1282C4⋊C4—121no—
1283C4⋊C4—121no—
1284C4⋊C4—121no—
1285C4⋊C4—121no—
1286C4⋊C4—121no—
1287C4⋊C4—121no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—34no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—62no—
1310C22⋊C4—62no—
1311C22⋊C4—62no—
1312C22⋊C4—62no—
1313C22⋊C4—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4D3×D414yes—
1330C42—62no—
1331C42—62no—
1332C42—121no—
1333C42—121no—
1334C42—121no—
1335C42—121no—
1336C22×C3—22no—
1337C22×C3—22no—
1338C22×C3—22no—
1339C22×C3—22no—
1340C22×C3—22no—
1341C22×C3—22no—
1342C22×C3—22no—
1343C22×C3—22no—
1344C22×C3—22no—
1345C22×C3—22no—
1346C22×C3—22no—
1347C22×C3—22no—
1348C22×C3—22no—
1349C22×C3—22no—
1350C22×C3—22no—
1351C22×C3—416no—
1352C22×C3—41no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—41no—
1357C22×C3—41no—
1358C22×C3—41no—
1359C22×C3—41no—
1360C22×C3—41no—
1361C22×C3—41no—
1362C22×C3—41no—
1363C22×C3#53914yescomplemented
1364C22×C3#54814yes—
1365C22×C3C23×D411yescharacteristic
1366C22×C3C22×#4111yescharacteristic
1367C22×C3C2×H(5,𝔽2)11yescharacteristic
1368C22×C3C2×H(5,𝔽2)11yescharacteristic
1369C22×C3C2×2−1+411yescharacteristic
1370C22×C3C2×2−1+411yescharacteristic
1371C22×C3#58511yescharacteristic
1372C2×D3—41no—
1373C2×D3—41no—
1374C2×D3—41no—
1375C2×D3—41no—
1376C2×D3—41no—
1377C2×D3—41no—
1378C2×D3—41no—
1379C3×C4—22no—
1380C3×C4—22no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388C3×C4—41no—
1389C3×C4—41no—
1390Dic3—22no—
1391Dic3—22no—
1392Dic3—22no—
1393Dic3—22no—
1394Dic3—22no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3—41no—
1400Dic3—41no—
1401Dic3—41no—
1402Dic3—41no—
1403Dic3—41no—
1404Dic3—41no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—28no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—28no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—61no—
1440C23C2×D3×D412yes—
1441C23C2×#23712yes—
1442C23C2×#23712yes—
1443C23C2×#23712yes—
1444C23#100912yes—
1445C23#101012yes—
1446C23#101012yes—
1447C23C24×D311yescharacteristic
1448Q8—124no—
1449Q8—124no—
1450Q8—124no—
1451Q8—124no—
1452D4—44no—
1453D4—44no—
1454D4—82no—
1455D4—124no—
1456D4—124no—
1457D4—242no—
1458D4—242no—
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—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—32no—
1491C2×C4—32no—
1492C2×C4—32no—
1493C2×C4—32no—
1494C2×C4—32no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—68no—
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—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—124no—
1541C2×C4—124no—
1542C2×C4—124no—
1543C2×C4—124no—
1544C2×C4—124no—
1545C2×C4—124no—
1546C2×C4—124no—
1547C2×C4—242no—
1548C2×C4—242no—
1549C2×C4—242no—
1550C2×C4—242no—
1551C2×C4C2×D3×D412yes—
1552C2×C4C2×D3×D412yes—
1553C2×C3—24no—
1554C2×C3—24no—
1555C2×C3—42no—
1556C2×C3—81no—
1557C2×C3C2×#53911yescharacteristic
1558C2×C3C2×#54811yescharacteristic
1559C2×C3#348411yescharacteristic
1560C2×C3#348911yescharacteristic
1561C2×C3#350511yescharacteristic
1562C2×C3#353511yescharacteristic
1563C2×C3#353811yescharacteristic
1564D3—81no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—416no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22—121no—
1598C22—121no—
1599C22#559814yes—
1600C22#566514yescomplemented
1601C22C22×D3×D411yescharacteristic
1602C22C22×#23711yescharacteristic
1603C22C2×#100911yescharacteristic
1604C22C2×#101011yescharacteristic
1605C22C2×#101011yescharacteristic
1606C22D3×H(5,𝔽2)11yescharacteristic
1607C22#596611yescharacteristic
1608C4—22no—
1609C4—22no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—62no—
1620C4—62no—
1621C4—62no—
1622C4—62no—
1623C4—62no—
1624C4—121no—
1625C4—121no—
1626C4—121no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C4—121no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C3#3770211yescharacteristic, complemented, Sylow
1635C2—24no—
1636C2—24no—
1637C2—42no—
1638C2—81no—
1639C2—241no—
1640C2C2×#559811yescharacteristic
1641C2C2×#566511yescharacteristic
1642C2#8629911yescharacteristic
1643C2#8663011yescharacteristic
1644C2#8666211yescharacteristic
1645C2#8680211yescharacteristic
1646C2#8680311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2412C2
prime radical#82601C2
hypercenter#2412D3
hypocenterC3#37702
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2412

Complements

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

NH ≅ G/Ntype
1. C2×#5665C2semidirect
2. C22×#878C2semidirect
3. C3×#2412C2semidirect
4. #82857C2semidirect
6. #82579C2semidirect
7. #82107C2semidirect
8. #82099C2semidirect
9. C2×#4950C2semidirect
10. #77703C2semidirect
11. #77594C2semidirect
12. #77573C2semidirect
13. #77572C2semidirect
14. #77139C2semidirect
15. #77043C2semidirect
16. #77041C2semidirect
17. #77006C2semidirect
18. #74785C2semidirect
19. #74735C2semidirect
20. #74710C2semidirect
21. #74703C2semidirect
22. #74702C2semidirect
23. #74689C2semidirect
24. #74422C2semidirect
25. #74387C2semidirect
26. #74090C2semidirect
27. #74076C2semidirect
28. #74017C2semidirect
29. #73910C2semidirect
30. #73902C2semidirect
31. #73901C2semidirect
55. C2×#898C22semidirect
56. C2×#897C22semidirect
57. C2×#897C22semidirect
58. C2×#890C22semidirect
59. C2×#889C22semidirect
60. C2×#886C22semidirect
61. C2×#883C22semidirect
63. C2×#879C22semidirect
73. C2×#878C22semidirect
74. C2×#878C22semidirect
101. #4994C22semidirect
102. #4985C22semidirect
103. #4985C22semidirect
104. #4984C22semidirect
105. #4981C22semidirect
106. #4978C22semidirect
107. #4977C22semidirect
108. #4976C22semidirect
109. #4973C22semidirect
110. #4973C22semidirect
111. #4972C22semidirect
112. #4961C22semidirect
115. #4959C22semidirect
124. #4953C22semidirect
127. #4952C22semidirect
140. #4950C22semidirect
141. #4949C22semidirect
142. #4948C22semidirect
143. #4947C22semidirect
144. #4947C22semidirect
147. #4945C22semidirect
148. #4945C22semidirect
158. #4677C22semidirect
159. #4675C22semidirect
160. #4675C22semidirect
161. #4673C22semidirect
162. #4673C22semidirect
163. #4670C22semidirect
164. #4669C22semidirect
165. #4668C22semidirect
166. #4661C22semidirect
167. #4661C22semidirect
168. #4661C22semidirect
169. #4660C22semidirect
170. #4660C22semidirect
171. #4660C22semidirect
172. #4660C22semidirect
173. #4658C22semidirect
174. #4658C22semidirect
175. #4657C22semidirect
176. #4657C22semidirect
177. #4656C22semidirect
178. #4656C22semidirect
179. #4656C22semidirect
180. #4656C22semidirect
181. #4654C22semidirect
182. #4653C22semidirect
183. #4653C22semidirect
184. #4652C22semidirect
185. #4652C22semidirect
186. #4650C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
214. #2412D3semidirect
377. #878D4semidirect
1363. C22×C3#539semidirect
1600. C22#5665semidirect
1634. C3#37702semidirect

Maximal subgroups

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

subgroupindex
C2×#56652
C22×#8782
C3×#24122
#828572
#826012
#825792
#821072
#820992
C2×#49502
#777032
#775942
#775732
#775722
#771392
#770432
#770412
#770062
#747852
#747352
#747102
#747032
#747022
#746892
#744222
#743872
#740902
#740762
#740172
#739102
#739022
#739012
#377023