Finite Group Databasebeta

← #11042458

Subgroups — #11042458

Order 768.

2526 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5636C211yesmaximal, characteristic, complemented
2C2×#5606C211yesmaximal, characteristic
3C3×#2681C211yesmaximal, characteristic, complemented
4#82897C211yesmaximal, characteristic, complemented
5#82841C211yesmaximal, characteristic, complemented
6#82834C211yesmaximal, characteristic, complemented
7#82828C211yesmaximal, characteristic, complemented
8#82791C211yesmaximal, characteristic, complemented
9#82682C211yesmaximal, characteristic, complemented
10#77810C211yesmaximal, characteristic, complemented
11#77745C211yesmaximal, characteristic, complemented
12#77422C211yesmaximal, characteristic, complemented
13#77349C211yesmaximal, characteristic, complemented
14#77118C211yesmaximal, characteristic, complemented
15#77111C211yesmaximal, characteristic, complemented
16#76983C211yesmaximal, characteristic, complemented
17#76978C211yesmaximal, characteristic, complemented
18#76926C211yesmaximal, characteristic, complemented
19#76904C211yesmaximal, characteristic, complemented
20#76874C211yesmaximal, characteristic, complemented
21#76869C211yesmaximal, characteristic, complemented
22#76330C211yesmaximal, characteristic, complemented
23#76297C211yesmaximal, characteristic, complemented
24#76244C211yesmaximal, characteristic, complemented
25#76100C211yesmaximal, characteristic, complemented
26#75835C211yesmaximal, characteristic, complemented
27#75670C211yesmaximal, characteristic, complemented
28#74892C211yesmaximal, characteristic, complemented
29#74664C211yesmaximal, characteristic, complemented
30D3×#385C211yesmaximal, characteristic, complemented
31#74514C211yesmaximal, characteristic, complemented
32#38359—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic, complemented
36C2×C3×C22⋊Q8C2211yescharacteristic
37C2×C3×C22⋊Q8C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic
39C2×#946C2211yescharacteristic
40C2×#946C2211yescharacteristic
41C2×#944C2211yescharacteristic, complemented
42C2×#938C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#936C2211yescharacteristic
46C2×#935C2211yescharacteristic
47C2×D4×Dic3C2211yescharacteristic
48C2×D4×Dic3C2211yescharacteristic
49C2×#929C2211yescharacteristic
50C2×C4×#67C2211yescharacteristic
51C2×#924C2211yescharacteristic
52C22×Dic3⋊C4C2211yescharacteristic, complemented
53#5636—28no—
54#5606—28no—
55C2×#897C2211yescharacteristic
56C2×#896C2211yescharacteristic
57C2×#896C2211yescharacteristic
58C2×#892C2211yescharacteristic
59C2×D3×C4⋊C4C2211yescharacteristic
60C2×D3×C4⋊C4C2211yescharacteristic
61C2×#889C2211yescharacteristic, complemented
62C2×#889C2211yescharacteristic, complemented
63C2×#888C2211yescharacteristic, complemented
64C2×#887C2211yescharacteristic, complemented
65C2×#885C2211yescharacteristic
66C2×#883C2211yescharacteristic
67C2×#883C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×#878C2211yescharacteristic, complemented
74C2×#878C2211yescharacteristic, complemented
75C3×#398C2211yescharacteristic, complemented
76C3×#396C2211yescharacteristic, complemented
77C3×#394C2211yescharacteristic
78C3×#394C2211yescharacteristic
79C3×#394C2211yescharacteristic, complemented
80C3×#393C2211yescharacteristic, complemented
81C3×#390C2211yescharacteristic
82C3×#389C2211yescharacteristic, complemented
83C3×#388C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic
85C3×#385C2211yescharacteristic
86#5230C2211yescharacteristic, complemented
87#5222C2211yescharacteristic
88#5222C2211yescharacteristic
89#5222C2211yescharacteristic, complemented
90#5220C2211yescharacteristic, complemented
91#5212C2211yescharacteristic
92#5210C2211yescharacteristic
93#5210C2211yescharacteristic, complemented
94#4993C2211yescharacteristic
95#4992C2211yescharacteristic
96#4990C2211yescharacteristic
97#4989C2211yescharacteristic
98#4989C2211yescharacteristic
99#4989C2211yescharacteristic
100#4989C2211yescharacteristic
101#4989C2211yescharacteristic
102#4989C2211yescharacteristic
103#4989C2211yescharacteristic
104#4987C2211yescharacteristic
105#4987C2211yescharacteristic
106#4982C2211yescharacteristic, complemented
107#4982C2211yescharacteristic, complemented
108#4982C2211yescharacteristic, complemented
109#4981C2211yescharacteristic, complemented
110#4981C2211yescharacteristic, complemented
111#4980C2211yescharacteristic, complemented
112#4980C2211yescharacteristic, complemented
113#4980C2211yescharacteristic, complemented
114#4979C2211yescharacteristic, complemented
115#4979C2211yescharacteristic, complemented
116#4979C2211yescharacteristic, complemented
117#4978C2211yescharacteristic, complemented
118#4976C2211yescharacteristic, complemented
119#4975C2211yescharacteristic, complemented
120#4961C2211yescharacteristic
121#4959C2211yescharacteristic
122#4959C2211yescharacteristic
123#4959C2211yescharacteristic
124#4958C2211yescharacteristic
125#4957C2211yescharacteristic
126#4956C2211yescharacteristic
127#4956C2211yescharacteristic
128#4956C2211yescharacteristic
129#4956C2211yescharacteristic
130#4956C2211yescharacteristic
131#4956C2211yescharacteristic
132#4955C2211yescharacteristic
133#4955C2211yescharacteristic
134#4953C2211yescharacteristic, complemented
135#4952C2211yescharacteristic
136#4952C2211yescharacteristic
137#4952C2211yescharacteristic, complemented
138#4952C2211yescharacteristic, complemented
139#4951C2211yescharacteristic, complemented
140#4950C2211yescharacteristic
141#4950C2211yescharacteristic, complemented
142#4949C2211yescharacteristic
143#4949C2211yescharacteristic, complemented
144#4949C2211yescharacteristic, complemented
145#4948C2211yescharacteristic, complemented
146#4947C2211yescharacteristic
147#4946C2211yescharacteristic
148#4946C2211yescharacteristic
149#4946C2211yescharacteristic
150#4946C2211yescharacteristic, complemented
151#4946C2211yescharacteristic, complemented
152#4946C2211yescharacteristic, complemented
153#4945C2211yescharacteristic
154#4945C2211yescharacteristic
155#4945C2211yescharacteristic, complemented
156#4945C2211yescharacteristic, complemented
157#4944C2211yescharacteristic
158#4944C2211yescharacteristic
159#4943C2211yescharacteristic, complemented
160#4943C2211yescharacteristic, complemented
161Dic3×C22⋊C4C2211yescharacteristic, complemented
162#4940C2211yescharacteristic
163C4×(C2×D3)⋊C4C2211yescharacteristic
164#4932C2211yescharacteristic, complemented
165#4929C2211yescharacteristic, complemented
166#4675C2211yescharacteristic
167#4673C2211yescharacteristic
168#4669C2211yescharacteristic
169#4669C2211yescharacteristic
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic
172#4668C2211yescharacteristic
173#4667C2211yescharacteristic
174#4667C2211yescharacteristic
175#4666C2211yescharacteristic
176D3×#95C2211yescharacteristic
177D3×#95C2211yescharacteristic
178#4661C2211yescharacteristic, complemented
179#4660C2211yescharacteristic, complemented
180#4659C2211yescharacteristic, complemented
181#4656C2211yescharacteristic, complemented
182#4655C2211yescharacteristic, complemented
183#4652C2211yescharacteristic, complemented
184#4652C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4651C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#554—31no—
191C2×#525—31no—
192#2848—31no—
193#2694—31no—
194#2690—31no—
195#2687—31no—
196#2681D311yescharacteristic, complemented
197#2680—31no—
198#2677—31no—
199#2674—31no—
200#2672—31no—
201#2638—31no—
202#2633—31no—
203#2611—31no—
204#2599—31no—
205#2579—31no—
206#2564—31no—
207#2549—31no—
208#2472—31no—
209#2472—31no—
210#2444—31no—
211#2443—31no—
212#2440—31no—
213#2432—31no—
214#2418—31no—
215#2418—31no—
216#2406—31no—
217#2353—31no—
218#2326—31no—
219#2322—31no—
220C2×#385—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C2×#237—24no—
237C2×#237—42no—
238C2×#237—42no—
239C22×C4×D3—24no—
240C22×C4×D3—42no—
241C22×C4×D3—42no—
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#123—42no—
254C3×C22⋊Q8—24no—
255C3×C22⋊Q8—42no—
256C3×#121—24no—
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C42C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295#946—24no—
296#946—42no—
297#944—24no—
298#938—24no—
299#937—24no—
300#937—24no—
301#936—24no—
302#935—24no—
303D4×Dic3—24no—
304D4×Dic3—24no—
305#929—42no—
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
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×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—24no—
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×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362#897—24no—
363#896—24no—
364#896—24no—
365#892—24no—
366D3×C4⋊C4—24no—
367D3×C4⋊C4—42no—
368#889—24no—
369#889—24no—
370#888—42no—
371#887—24no—
372#885—42no—
373#883—24no—
374#883—24no—
375#67⋊C4—24no—
376#67⋊C4—24no—
377#67⋊C4D418yes—
378D3×C22⋊C4—24no—
379D3×C22⋊C4—42no—
380#878—24no—
381#878—24no—
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
420C22×#41—31no—
421C24×C4—31no—
422#554—68no—
423C2×C4⋊Q8—31no—
424C2×C4⋊Q8—31no—
425C2×#125—31no—
426C2×#125—31no—
427C2×#124—31no—
428C2×#124—31no—
429#525—68no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123C2×D311yescharacteristic, complemented
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⋊Q8C2×D311yescharacteristic
444C2×C22⋊Q8C2×D311yescharacteristic, complemented
445C2×#121—31no—
446C2×#121C2×D311yescharacteristic
447C2×#120—31no—
448C2×#120—31no—
449C2×C4×Q8—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—
457C22×C4⋊C4—31no—
458C22×C4⋊C4—31no—
459C22×C4⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462#400—31no—
463#400—31no—
464#399—31no—
465#399—31no—
466#399—31no—
467#399—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#398C2×D311yescharacteristic, complemented
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#396C2×D311yescharacteristic, complemented
484#395—31no—
485#395—31no—
486#395—31no—
487#395—31no—
488#395—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394C2×D311yescharacteristic
497#394C2×D311yescharacteristic
498#394C2×D311yescharacteristic, complemented
499#393—31no—
500#393—31no—
501#393C2×D311yescharacteristic, complemented
502#391—31no—
503#391—31no—
504#390—31no—
505#390C2×D311yescharacteristic
506#389—31no—
507#389—31no—
508#389—31no—
509#389C2×D311yescharacteristic, complemented
510#388—31no—
511#388—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#388C2×D311yescharacteristic, complemented
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#387—31no—
529#387—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#386C2×D311yescharacteristic
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#383—31no—
562#381—31no—
563#381—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#379—31no—
570#379—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574#376—31no—
575C2×#95—31no—
576C2×#95—31no—
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C24×C3C2411yescharacteristic
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C2×C3×Q8—22no—
590C2×C3×Q8—41no—
591C2×C3×Q8—41no—
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—41no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67C2×D414yes—
631C22×Dic3—22no—
632C22×Dic3—22no—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—41no—
636C22×Dic3—41no—
637C22×Dic3—41no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3C2×D414yes—
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
656C22×Dic3C2411yescharacteristic
657#237—416no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—416no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3C2×D414yes—
683C2×Dic6—22no—
684C2×Dic6—22no—
685C2×Dic6—22no—
686C2×Dic6—22no—
687C2×Dic6—22no—
688C2×Dic6—41no—
689C2×Dic6—41no—
690C2×Dic6—41no—
691C2×Dic6—41no—
692C3×C4⋊C4—22no—
693C3×C4⋊C4—22no—
694C3×C4⋊C4—22no—
695C3×C4⋊C4—22no—
696C3×C4⋊C4—22no—
697C3×C4⋊C4—22no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—41no—
700C3×C4⋊C4—41no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—41no—
705C3×C22⋊C4—41no—
706C3×C22⋊C4—41no—
707C3×C22⋊C4—41no—
708C3×C22⋊C4—41no—
709C3×C22⋊C4—41no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4—41no—
712C3×C22⋊C4—41no—
713C3×C22⋊C4C2×D414yes—
714C3×C42—41no—
715#217—22no—
716#217—22no—
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—41no—
726#217—41no—
727#217—41no—
728#217—41no—
729#217#4114yescomplemented
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
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—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4C2×D414yes—
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—22no—
751C4⋊Dic3—41no—
752C4⋊Dic3—41no—
753C4⋊Dic3—41no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
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—41no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4—41no—
773Dic3⋊C4—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4C2×D414yes—
776C4×Dic3—22no—
777C4×Dic3—22no—
778C4×Dic3—22no—
779C4×Dic3—22no—
780C4×Dic3—41no—
781C4×Dic3—41no—
782C4×Dic3C2×D414yes—
783C25—31no—
784C2×#41—64no—
785C2×#41—122no—
786C2×#41—122no—
787C22×Q8—31no—
788C22×Q8—31no—
789C22×Q8—31no—
790C22×Q8C22×D311yescharacteristic
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
815C4⋊Q8—64no—
816C4⋊Q8—122no—
817#125—64no—
818#125—64no—
819#124—64no—
820#124—122no—
821#123—42no—
822#123—64no—
823#123—64no—
824#123—64no—
825#123—122no—
826C22⋊Q8—24no—
827C22⋊Q8—42no—
828C22⋊Q8—64no—
829C22⋊Q8—64no—
830C22⋊Q8—64no—
831C22⋊Q8—64no—
832C22⋊Q8—64no—
833C22⋊Q8—64no—
834C22⋊Q8—64no—
835C22⋊Q8—122no—
836#121—24no—
837#121—64no—
838#120—64no—
839#120—64no—
840C4×Q8—64no—
841C4×D4—38no—
842C4×D4—64no—
843C4×D4—64no—
844C4×D4—64no—
845C4×D4—64no—
846C4×D4—64no—
847#117—64no—
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—64no—
879C2×C4⋊C4—64no—
880C2×C4⋊C4—122no—
881C2×C4⋊C4C22×D311yescharacteristic
882C2×C4⋊C4C22×D311yescharacteristic
883C2×C4⋊C4C22×D311yescharacteristic
884C2×C4⋊C4C22×D311yescharacteristic
885C2×C4⋊C4C22×D311yescharacteristic
886C2×C4⋊C4C22×D311yescharacteristic
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C4⋊C4C22×D311yescharacteristic
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—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—64no—
922C2×C22⋊C4—122no—
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×C22⋊C4C22×D311yescharacteristic
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—31no—
940C2×C42—31no—
941C2×C42—31no—
942C2×C42—31no—
943C2×C42C22×D311yescharacteristic
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#95—31no—
975#95—31no—
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—21no—
991C23×C3—21no—
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×C3C22×D412yes—
1002C23×C3C2×#4112yes—
1003C23×C3C2511yescharacteristic
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—28no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—44no—
1016C22×D3—44no—
1017C22×D3—44no—
1018C22×D3—44no—
1019C22×D3—44no—
1020C22×D3—44no—
1021C22×D3C22×D412yes—
1022C22×D3H(5,𝔽2)12yes—
1023C22×D32−1+412yes—
1024C22×D32−1+412yes—
1025C3×Q8—82no—
1026C3×D4—44no—
1027C3×D4—44no—
1028C3×D4—44no—
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—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—44no—
1063C2×C3×C4—82no—
1064C2×C3×C4C22×D412yes—
1065C2×C3×C4C22×D412yes—
1066C2×C3×C4H(5,𝔽2)12yes—
1067#67—28no—
1068#67—44no—
1069#67—44no—
1070#67—44no—
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—44no—
1109C2×Dic3—44no—
1110C2×Dic3—44no—
1111C2×Dic3—44no—
1112C2×Dic3C22×D412yes—
1113C2×Dic3C22×D412yes—
1114C2×Dic3C22×D412yes—
1115C2×Dic3C2×#4112yes—
1116C2×Dic3C2×#4112yes—
1117C4×D3—28no—
1118C4×D3—44no—
1119C4×D3—44no—
1120C4×D3—44no—
1121C4×D3—44no—
1122C4×D3—44no—
1123C4×D3—82no—
1124C4×D3—82no—
1125Dic6—44no—
1126Dic6—44no—
1127Dic6—82no—
1128C24—31no—
1129C24—31no—
1130C24—62no—
1131C24—62no—
1132C24—62no—
1133C24—62no—
1134C24—62no—
1135C24—121no—
1136C24—121no—
1137C24C23×D311yescharacteristic
1138C24C23×D311yescharacteristic
1139C24C23×D311yescharacteristic
1140#41—1216no—
1141C2×Q8—22no—
1142C2×Q8—41no—
1143C2×Q8—41no—
1144C2×Q8—62no—
1145C2×Q8—62no—
1146C2×Q8—62no—
1147C2×Q8—62no—
1148C2×Q8—62no—
1149C2×Q8—121no—
1150C2×Q8—121no—
1151C2×Q8—121no—
1152C2×Q8—121no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—34no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—62no—
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—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—31no—
1180C22×C4—31no—
1181C22×C4—31no—
1182C22×C4—34no—
1183C22×C4—34no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—62no—
1200C22×C4—62no—
1201C22×C4—62no—
1202C22×C4—62no—
1203C22×C4—62no—
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—121no—
1214C22×C4—121no—
1215C22×C4—121no—
1216C22×C4—121no—
1217C22×C4—121no—
1218C22×C4—121no—
1219C22×C4—121no—
1220C22×C4—121no—
1221C22×C4—121no—
1222C22×C4—121no—
1223C22×C4—1216no—
1224C22×C4—121no—
1225C22×C4—121no—
1226C22×C4—121no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4—121no—
1231C22×C4C23×D311yescharacteristic
1232C22×C4C23×D311yescharacteristic
1233C22×C4C23×D311yescharacteristic
1234C22×C4C23×D311yescharacteristic
1235C22×C4C23×D311yescharacteristic
1236C22×C4C23×D311yescharacteristic
1237C22×C4C23×D311yescharacteristic
1238C22×C4C23×D311yescharacteristic
1239C22×C4C23×D311yescharacteristic
1240C22×C4C23×D311yescharacteristic
1241C22×C4C23×D311yescharacteristic
1242C22×C4C23×D311yescharacteristic
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—34no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—62no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
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—121no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4—121no—
1277C4⋊C4—121no—
1278C4⋊C4—121no—
1279C4⋊C4—121no—
1280C4⋊C4—121no—
1281C4⋊C4—121no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—34no—
1286C22⋊C4—34no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—62no—
1297C22⋊C4—62no—
1298C22⋊C4—62no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
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⋊C4D3×D414yes—
1326C42—34no—
1327C42—41no—
1328C42—62no—
1329C42—62no—
1330C42—62no—
1331C42—62no—
1332C42—121no—
1333C42—121no—
1334C22×C3—22no—
1335C22×C3—22no—
1336C22×C3—22no—
1337C22×C3—22no—
1338C22×C3—22no—
1339C22×C3—22no—
1340C22×C3—41no—
1341C22×C3—41no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3—41no—
1348C22×C3—41no—
1349C22×C3—41no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×C3—41no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3C23×D411yescharacteristic
1356C22×C3C22×#4111yescharacteristic
1357C22×C3C2×H(5,𝔽2)11yescharacteristic
1358C22×C3C2×H(5,𝔽2)11yescharacteristic
1359C22×C3C2×2−1+411yescharacteristic
1360C22×C3C2×2−1+411yescharacteristic
1361C22×C3#58511yescharacteristic
1362C2×D3—22no—
1363C2×D3—22no—
1364C2×D3—22no—
1365C2×D3—22no—
1366C2×D3—22no—
1367C2×D3—22no—
1368C2×D3—22no—
1369C2×D3—22no—
1370C2×D3—22no—
1371C2×D3—416no—
1372C2×D3—41no—
1373C2×D3—41no—
1374C2×D3—41no—
1375C2×D3—41no—
1376C2×D3#53614yes—
1377C3×C4—22no—
1378C3×C4—22no—
1379C3×C4—22no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388C3×C4—41no—
1389Dic3—22no—
1390Dic3—22no—
1391Dic3—22no—
1392Dic3—22no—
1393Dic3—22no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3—41no—
1400Dic3—41no—
1401Dic3—41no—
1402Dic3—41no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—32no—
1423C23—32no—
1424C23—32no—
1425C23—32no—
1426C23—68no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—124no—
1438C23—124no—
1439C23—124no—
1440C23—124no—
1441C23—124no—
1442C23—124no—
1443C23C2×D3×D412yes—
1444C23D3×#4112yes—
1445C23C24×D311yescharacteristic
1446Q8—82no—
1447Q8—124no—
1448Q8—124no—
1449Q8—242no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—68no—
1454D4—124no—
1455D4—124no—
1456D4—124no—
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—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—68no—
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—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—82no—
1535C2×C4—124no—
1536C2×C4—124no—
1537C2×C4—124no—
1538C2×C4—124no—
1539C2×C4—124no—
1540C2×C4—124no—
1541C2×C4—124no—
1542C2×C4—124no—
1543C2×C4—124no—
1544C2×C4—242no—
1545C2×C4—242no—
1546C2×C4C2×D3×D412yes—
1547C2×C4C2×D3×D412yes—
1548C2×C4#100412yes—
1549C2×C3—42no—
1550C2×C3—42no—
1551C2×C3—81no—
1552C2×C3C2×#53611yescharacteristic
1553C2×C3D4×#4111yescharacteristic
1554C2×C3#348411yescharacteristic
1555C2×C3#349211yescharacteristic
1556C2×C3#352011yescharacteristic
1557C2×C3#353511yescharacteristic
1558C2×C3#354111yescharacteristic
1559D3—24no—
1560D3—42no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—34no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—62no—
1584C22—62no—
1585C22—62no—
1586C22—62no—
1587C22—62no—
1588C22—62no—
1589C22—62no—
1590C22—62no—
1591C22—62no—
1592C22—1216no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22C22×D3×D411yescharacteristic
1598C22C2×#100411yescharacteristic
1599C22C2×D3×#4111yescharacteristic
1600C22D3×H(5,𝔽2)11yescharacteristic
1601C22#596611yescharacteristic
1602C22D3×2−1+411yescharacteristic
1603C22D3×2−1+411yescharacteristic
1604C4—22no—
1605C4—22no—
1606C4—22no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—62no—
1617C4—62no—
1618C4—62no—
1619C4—62no—
1620C4—62no—
1621C4—121no—
1622C4—121no—
1623C4—121no—
1624C4—121no—
1625C4—121no—
1626C4—121no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C3#3835911yescharacteristic, complemented, Sylow
1631C2—42no—
1632C2—42no—
1633C2—64no—
1634C2—81no—
1635C2—122no—
1636C2D3×#53611yescharacteristic
1637C2#8638511yescharacteristic
1638C2#8643011yescharacteristic
1639C2#8662011yescharacteristic
1640C2#8662611yescharacteristic
1641C2#8672111yescharacteristic
1642C2#8711011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2681C2
prime radicalC2×#5606C2
hypercenter#2681D3
hypocenterC3#38359
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2681

Complements

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

NH ≅ G/Ntype
1. C2×#5636C2semidirect
3. C3×#2681C2semidirect
4. #82897C2semidirect
5. #82841C2semidirect
6. #82834C2semidirect
7. #82828C2semidirect
8. #82791C2semidirect
9. #82682C2semidirect
10. #77810C2semidirect
11. #77745C2semidirect
12. #77422C2semidirect
13. #77349C2semidirect
14. #77118C2semidirect
15. #77111C2semidirect
16. #76983C2semidirect
17. #76978C2semidirect
18. #76926C2semidirect
19. #76904C2semidirect
20. #76874C2semidirect
21. #76869C2semidirect
22. #76330C2semidirect
23. #76297C2semidirect
24. #76244C2semidirect
25. #76100C2semidirect
26. #75835C2semidirect
27. #75670C2semidirect
28. #74892C2semidirect
29. #74664C2semidirect
30. D3×#385C2semidirect
31. #74514C2semidirect
35. C2×C3×#123C22semidirect
37. C2×C3×C22⋊Q8C22semidirect
41. C2×#944C22semidirect
52. C22×Dic3⋊C4C22semidirect
61. C2×#889C22semidirect
62. C2×#889C22semidirect
63. C2×#888C22semidirect
64. C2×#887C22semidirect
73. C2×#878C22semidirect
74. C2×#878C22semidirect
75. C3×#398C22semidirect
76. C3×#396C22semidirect
79. C3×#394C22semidirect
80. C3×#393C22semidirect
82. C3×#389C22semidirect
83. C3×#388C22semidirect
86. #5230C22semidirect
89. #5222C22semidirect
90. #5220C22semidirect
93. #5210C22semidirect
106. #4982C22semidirect
107. #4982C22semidirect
108. #4982C22semidirect
109. #4981C22semidirect
110. #4981C22semidirect
111. #4980C22semidirect
112. #4980C22semidirect
113. #4980C22semidirect
114. #4979C22semidirect
115. #4979C22semidirect
116. #4979C22semidirect
117. #4978C22semidirect
118. #4976C22semidirect
119. #4975C22semidirect
134. #4953C22semidirect
137. #4952C22semidirect
138. #4952C22semidirect
139. #4951C22semidirect
141. #4950C22semidirect
143. #4949C22semidirect
144. #4949C22semidirect
145. #4948C22semidirect
150. #4946C22semidirect
151. #4946C22semidirect
152. #4946C22semidirect
155. #4945C22semidirect
156. #4945C22semidirect
159. #4943C22semidirect
160. #4943C22semidirect
161. Dic3×C22⋊C4C22semidirect
164. #4932C22semidirect
165. #4929C22semidirect
178. #4661C22semidirect
179. #4660C22semidirect
180. #4659C22semidirect
181. #4656C22semidirect
182. #4655C22semidirect
183. #4652C22semidirect
184. #4652C22semidirect
185. #4652C22semidirect
186. #4651C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
196. #2681D3semidirect
434. C2×#123C2×D3semidirect
444. C2×C22⋊Q8C2×D3semidirect
474. #398C2×D3semidirect
483. #396C2×D3semidirect
498. #394C2×D3semidirect
501. #393C2×D3semidirect
509. #389C2×D3semidirect
521. #388C2×D3semidirect
729. #217#41semidirect
1630. C3#38359semidirect

Maximal subgroups

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

subgroupindex
C2×#56362
C2×#56062
C3×#26812
#828972
#828412
#828342
#828282
#827912
#826822
#778102
#777452
#774222
#773492
#771182
#771112
#769832
#769782
#769262
#769042
#768742
#768692
#763302
#762972
#762442
#761002
#758352
#756702
#748922
#746642
D3×#3852
#745142
#383593