Finite Group Databasebeta

← #11633790

Subgroups — #11633790

Order 768.

2598 conjugacy classes of subgroups.

The subgroup lattice has 1688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5829C211yesmaximal, characteristic
2C2×#5538C211yesmaximal, characteristic, complemented
3C3×#2339C211yesmaximal, characteristic, complemented
4#84090C211yesmaximal, characteristic, complemented
5#82414C211yesmaximal, characteristic, complemented
6#82404C211yesmaximal, characteristic, complemented
7#82342C211yesmaximal, characteristic, complemented
8#76635C211yesmaximal, characteristic, complemented
9#76563C211yesmaximal, characteristic, complemented
10#76515C211yesmaximal, characteristic, complemented
11#76514C211yesmaximal, characteristic, complemented
12#74919C211yesmaximal, characteristic, complemented
13#74892C211yesmaximal, characteristic, complemented
14#74878C211yesmaximal, characteristic, complemented
15#74763C211yesmaximal, characteristic, complemented
16#74760C211yesmaximal, characteristic, complemented
17#74730C211yesmaximal, characteristic, complemented
18#74686C211yesmaximal, characteristic, complemented
19#74661C211yesmaximal, characteristic, complemented
20#74138C211yesmaximal, characteristic, complemented
21#74132C211yesmaximal, characteristic, complemented
22#74075C211yesmaximal, characteristic, complemented
23#74072C211yesmaximal, characteristic, complemented
24#73962C211yesmaximal, characteristic, complemented
25#73909C211yesmaximal, characteristic, complemented
26#73574C211yesmaximal, characteristic, complemented
27#73496C211yesmaximal, characteristic, complemented
28#73377C211yesmaximal, characteristic, complemented
29#73375C211yesmaximal, characteristic, complemented
30#73337C211yesmaximal, characteristic, complemented
31C2×#4669C211yesmaximal, characteristic, complemented
32#59032—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C2×C3×C4×D4C2211yescharacteristic, complemented
36C2×C3×C4×D4C2211yescharacteristic, complemented
37#5829—28no—
38C2×#947C2211yescharacteristic
39C2×#946C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#935C2211yescharacteristic
45C2×#935C2211yescharacteristic, complemented
46C2×D4×Dic3C2211yescharacteristic
47C2×#930C2211yescharacteristic
48C2×#929C2211yescharacteristic
49C2×#929C2211yescharacteristic
50C2×#929C2211yescharacteristic
51C2×C4×#67C2211yescharacteristic
52C2×C4×#67C2211yescharacteristic
53C2×C4×#67C2211yescharacteristic, complemented
54C22×(C2×D3)⋊C4C2211yescharacteristic
55C22×(C2×D3)⋊C4C2211yescharacteristic
56C22×(C2×D3)⋊C4C2211yescharacteristic
57C22×(C2×D3)⋊C4C2211yescharacteristic
58C2×#926C2211yescharacteristic, complemented
59C22×Dic3⋊C4C2211yescharacteristic, complemented
60C22×C4×Dic3C2211yescharacteristic, complemented
61#5538—28no—
62C2×#898C2211yescharacteristic, complemented
63C2×#889C2211yescharacteristic, complemented
64C2×#886C2211yescharacteristic
65C2×#885C2211yescharacteristic, complemented
66C2×#67⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×#879C2211yescharacteristic, complemented
69C2×#878C2211yescharacteristic, complemented
70C2×#872C2211yescharacteristic, complemented
71C2×C4×Dic6C2211yescharacteristic, complemented
72C3×#391C2211yescharacteristic, complemented
73C3×#391C2211yescharacteristic, complemented
74C3×#386C2211yescharacteristic
75C3×#386C2211yescharacteristic
76C3×#386C2211yescharacteristic, complemented
77C3×#386C2211yescharacteristic, complemented
78C3×#381C2211yescharacteristic, complemented
79C3×#381C2211yescharacteristic, complemented
80C3×#380C2211yescharacteristic, complemented
81C3×C4×C22⋊C4C2211yescharacteristic, complemented
82C2×C3×#95C2211yescharacteristic, complemented
83C2×C3×#95C2211yescharacteristic, complemented
84#5230C2211yescharacteristic, complemented
85#5230C2211yescharacteristic, complemented
86#5222C2211yescharacteristic, complemented
87#5222C2211yescharacteristic, complemented
88#5220C2211yescharacteristic
89#5220C2211yescharacteristic, complemented
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic, complemented
93#5213C2211yescharacteristic, complemented
94#5213C2211yescharacteristic, complemented
95#5212C2211yescharacteristic, complemented
96#5211C2211yescharacteristic, complemented
97#5210C2211yescharacteristic, complemented
98#5210C2211yescharacteristic, complemented
99#5210C2211yescharacteristic, complemented
100#5210C2211yescharacteristic, complemented
101#5210C2211yescharacteristic, complemented
102C4×#217C2211yescharacteristic, complemented
103C2×C3⋊#95C2211yescharacteristic, complemented
104#4994C2211yescharacteristic
105#4994C2211yescharacteristic, complemented
106#4993C2211yescharacteristic, complemented
107#4992C2211yescharacteristic
108#4990C2211yescharacteristic, complemented
109#4978C2211yescharacteristic, complemented
110#4961C2211yescharacteristic
111#4961C2211yescharacteristic
112#4961C2211yescharacteristic
113#4961C2211yescharacteristic, complemented
114#4959C2211yescharacteristic
115#4959C2211yescharacteristic, complemented
116#4957C2211yescharacteristic
117#4957C2211yescharacteristic
118#4956C2211yescharacteristic, complemented
119#4955C2211yescharacteristic
120#4955C2211yescharacteristic
121#4955C2211yescharacteristic
122#4955C2211yescharacteristic
123#4955C2211yescharacteristic
124#4950C2211yescharacteristic, complemented
125#4949C2211yescharacteristic, complemented
126#4947C2211yescharacteristic, complemented
127#4946C2211yescharacteristic, complemented
128#4945C2211yescharacteristic, complemented
129#4945C2211yescharacteristic, complemented
130#4945C2211yescharacteristic, complemented
131#4943C2211yescharacteristic, complemented
132#4942C2211yescharacteristic, complemented
133Dic3×C22⋊C4C2211yescharacteristic, complemented
134Dic3×C22⋊C4C2211yescharacteristic, complemented
135Dic3×C22⋊C4C2211yescharacteristic, complemented
136#4940C2211yescharacteristic
137#4940C2211yescharacteristic
138#4940C2211yescharacteristic, complemented
139#4940C2211yescharacteristic, complemented
140C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
141#4933C2211yescharacteristic, complemented
142#4675C2211yescharacteristic
143#4675C2211yescharacteristic, complemented
144#4675C2211yescharacteristic, complemented
145#4675C2211yescharacteristic, complemented
146#4675C2211yescharacteristic, complemented
147#4674C2211yescharacteristic, complemented
148#4673C2211yescharacteristic
149#4673C2211yescharacteristic, complemented
150#4672C2211yescharacteristic
151#4672C2211yescharacteristic
152#4670C2211yescharacteristic
153#4670C2211yescharacteristic, complemented
154#4669C2211yescharacteristic
155#4669C2211yescharacteristic
156#4669C2211yescharacteristic
157#4669C2211yescharacteristic
158#4669C2211yescharacteristic
159#4669C2211yescharacteristic, complemented
160#4669C2211yescharacteristic, complemented
161#4669C2211yescharacteristic, complemented
162#4669C2211yescharacteristic, complemented
163#4669C2211yescharacteristic, complemented
164#4668C2211yescharacteristic
165#4668C2211yescharacteristic
166#4668C2211yescharacteristic, complemented
167#4667C2211yescharacteristic
168#4667C2211yescharacteristic, complemented
169#4667C2211yescharacteristic, complemented
170#4666C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4664C2211yescharacteristic, complemented
174#4660C2211yescharacteristic, complemented
175#4658C2211yescharacteristic, complemented
176#4657C2211yescharacteristic, complemented
177#4657C2211yescharacteristic, complemented
178#4657C2211yescharacteristic, complemented
179#4656C2211yescharacteristic, complemented
180#4655C2211yescharacteristic, complemented
181#4655C2211yescharacteristic, complemented
182#4655C2211yescharacteristic, complemented
183#4654C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#529—31no—
192#2694—31no—
193#2690—31no—
194#2686—31no—
195#2684—31no—
196#2564—31no—
197#2561—31no—
198#2559—31no—
199#2534—31no—
200#2521—31no—
201#2486—31no—
202#2480—31no—
203#2476—31no—
204#2474—31no—
205#2468—31no—
206#2465—31no—
207#2458—31no—
208#2444—31no—
209#2419—31no—
210#2418—31no—
211#2418—31no—
212#2406—31no—
213#2405—31no—
214#2364—31no—
215#2359—31no—
216#2342—31no—
217#2339D311yescharacteristic, complemented
218D4×C22⋊C4—31no—
219C4×#123—31no—
220C2×#388—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C2×C3×#41—24no—
224C2×C3×#41—24no—
225C2×C3×#41—42no—
226C22×C3×Q8C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C2×D3×D4—24no—
247C2×D3×D4—24no—
248C2×D3×D4—42no—
249C22×D12C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C3×C4×D4—24no—
255C3×C4×D4—42no—
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C42C2311yescharacteristic
267C2×C3×C42C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281#947—24no—
282#946—24no—
283#939—24no—
284#939D418yes—
285#937—24no—
286#937—24no—
287#935—24no—
288#935—24no—
289D4×Dic3—24no—
290#930—24no—
291#929—24no—
292#929—24no—
293#929—24no—
294C4×#67—24no—
295C4×#67—24no—
296C4×#67—24no—
297C2×(C2×D3)⋊C4—24no—
298C2×(C2×D3)⋊C4—24no—
299C2×(C2×D3)⋊C4—24no—
300C2×(C2×D3)⋊C4—42no—
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332#926—24no—
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×Dic3⋊C4—42no—
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×Dic3⋊C4C2311yescharacteristic
359C2×C4×Dic3—24no—
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369#898—24no—
370#889—24no—
371#886—24no—
372#885—24no—
373#67⋊C4—42no—
374D3×C22⋊C4—24no—
375#879—24no—
376#878—24no—
377#872—24no—
378C4×Dic6—24no—
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
417C22×#41C2×D311yescharacteristic
418C23×D4—31no—
419#546—68no—
420#529—68no—
421C2×#126—31no—
422C2×#126—31no—
423C2×#125—31no—
424C2×#124—31no—
425C2×#124—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×#121—31no—
435C2×#121—31no—
436C2×#121—31no—
437C2×#120—31no—
438C2×#120—31no—
439C2×C4×Q8—31no—
440C2×C4×D4—31no—
441C2×C4×D4—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4C2×D311yescharacteristic, complemented
446C2×C4×D4C2×D311yescharacteristic, complemented
447C2×#117—31no—
448C2×#117—31no—
449C22×C4⋊C4—31no—
450C22×C22⋊C4—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C42—31no—
456#400—31no—
457#400—31no—
458#399—31no—
459#399—31no—
460#398—31no—
461#398—31no—
462#398—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#396—31no—
471#396—31no—
472#395—31no—
473#395—31no—
474#395—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#393—31no—
486#393—31no—
487#393—31no—
488#391C2×D311yescharacteristic, complemented
489#391C2×D311yescharacteristic, complemented
490#390—31no—
491#390—31no—
492#389—31no—
493#389—31no—
494#388—31no—
495#388—31no—
496#388—31no—
497#388—31no—
498#388—31no—
499#388—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#387—31no—
515#387—31no—
516#387—31no—
517#387—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386C2×D311yescharacteristic
533#386C2×D311yescharacteristic
534#386C2×D311yescharacteristic, complemented
535#386C2×D311yescharacteristic, complemented
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#381—31no—
547#381—31no—
548#381—31no—
549#381C2×D311yescharacteristic, complemented
550#381C2×D311yescharacteristic, complemented
551#380—31no—
552#380—31no—
553#380—31no—
554#380—31no—
555#380—31no—
556#380C2×D311yescharacteristic, complemented
557#379—31no—
558#379—31no—
559#379—31no—
560#379—31no—
561#379—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4C2×D311yescharacteristic, complemented
571C2×#95—31no—
572C2×#95C2×D311yescharacteristic, complemented
573C2×#95C2×D311yescharacteristic, complemented
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C24×C3C2411yescharacteristic
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C3×#41—416no—
595C2×C3×Q8—22no—
596C2×C3×Q8—22no—
597C2×C3×Q8—41no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—22no—
603C2×C3×D4—22no—
604C2×C3×D4—41no—
605C2×C3×D4C2×D414yes—
606C2×C3×D4#4114yes—
607C22×C3×C4—22no—
608C22×C3×C4—22no—
609C22×C3×C4—22no—
610C22×C3×C4—22no—
611C22×C3×C4—22no—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
625C22×C3×C4—41no—
626C22×C3×C4—41no—
627C22×C3×C4—41no—
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67C2×D414yes—
654C2×#67C2×D414yes—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—22no—
658C22×Dic3—22no—
659C22×Dic3—22no—
660C22×Dic3—22no—
661C22×Dic3—41no—
662C22×Dic3—41no—
663C22×Dic3—41no—
664C22×Dic3—41no—
665C22×Dic3—41no—
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
680D3×D4—416no—
681C2×D12—22no—
682C2×D12—22no—
683C2×D12—41no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×Dic6—22no—
694C2×Dic6—41no—
695C2×Dic6—41no—
696C3×C4⋊C4—22no—
697C3×C4⋊C4—41no—
698C3×C22⋊C4—22no—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—41no—
703C3×C22⋊C4—41no—
704C3×C22⋊C4—41no—
705C3×C22⋊C4—41no—
706C3×C42—22no—
707C3×C42—41no—
708#217—22no—
709#217—22no—
710#217—22no—
711#217—22no—
712#217—22no—
713#217—22no—
714#217—22no—
715#217—22no—
716#217—22no—
717#217—22no—
718#217—41no—
719#217—41no—
720#217C2×D414yes—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
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—41no—
738(C2×D3)⋊C4—41no—
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—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4C2×D414yes—
751(C2×D3)⋊C4#4114yescomplemented
752C4⋊Dic3—22no—
753C4⋊Dic3—22no—
754C4⋊Dic3—22no—
755C4⋊Dic3—22no—
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—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4—41no—
773Dic3⋊C4—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4—41no—
776Dic3⋊C4C2×D414yes—
777C4×Dic3—22no—
778C4×Dic3—22no—
779C4×Dic3—22no—
780C4×Dic3—22no—
781C4×Dic3—22no—
782C4×Dic3—22no—
783C4×Dic3—41no—
784C4×Dic3—41no—
785C4×Dic3—41no—
786C25—31no—
787C25—31no—
788C2×#41—24no—
789C2×#41—24no—
790C2×#41—42no—
791C22×Q8—31no—
792C22×Q8C22×D311yescharacteristic
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—64no—
800C22×D4—64no—
801C22×D4—122no—
802C22×D4C22×D311yescharacteristic
803C22×D4C22×D311yescharacteristic
804C22×D4C22×D311yescharacteristic
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4C22×D311yescharacteristic
813C23×C4C22×D311yescharacteristic
814C23×C4C22×D311yescharacteristic
815C23×C4C22×D311yescharacteristic
816C23×C4C22×D311yescharacteristic
817C23×C4C22×D311yescharacteristic
818C23×C4C22×D311yescharacteristic
819#126—64no—
820#126—64no—
821#125—64no—
822#124—64no—
823#124—64no—
824#123—64no—
825#123—64no—
826#123—64no—
827#123—64no—
828#123—64no—
829#123—64no—
830C22⋊Q8—64no—
831C22⋊Q8—64no—
832#121—38no—
833#121—64no—
834#121—64no—
835#120—64no—
836#120—64no—
837C4×Q8—64no—
838C4×D4—24no—
839C4×D4—42no—
840C4×D4—64no—
841C4×D4—64no—
842C4×D4—64no—
843C4×D4—64no—
844C4×D4—122no—
845#117—64no—
846#117—64no—
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—122no—
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C4⋊C4C22×D311yescharacteristic
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—64no—
920C2×C22⋊C4—64no—
921C2×C22⋊C4—64no—
922C2×C22⋊C4—64no—
923C2×C22⋊C4—122no—
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C42—31no—
933C2×C42—31no—
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—31no—
940C2×C42—31no—
941C2×C42—64no—
942C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972#95C22×D311yescharacteristic
973#95C22×D311yescharacteristic
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—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3C22×D412yes—
999C23×C3C22×D412yes—
1000C23×C3C2×#4112yes—
1001C23×C3C2×#4112yes—
1002C23×C3H(5,𝔽2)12yes—
1003C23×C3C2511yescharacteristic
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—44no—
1024C22×D3—44no—
1025C22×D3—44no—
1026C22×D3—44no—
1027C22×D3—44no—
1028C22×D3—44no—
1029C22×D3—44no—
1030C22×D3—82no—
1031C22×D3—82no—
1032C22×D3—82no—
1033C22×D3—82no—
1034C22×D3—82no—
1035C22×D3—82no—
1036C22×D3—82no—
1037C22×D3C22×D412yes—
1038C22×D3C2×#4112yes—
1039C3×Q8—44no—
1040C3×D4—28no—
1041C3×D4—28no—
1042C3×D4—44no—
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—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—44no—
1077C2×C3×C4—44no—
1078C2×C3×C4—44no—
1079C2×C3×C4—44no—
1080C2×C3×C4—44no—
1081C2×C3×C4—82no—
1082C2×C3×C4—82no—
1083C2×C3×C4C22×D412yes—
1084C2×C3×C4C2×#4112yes—
1085C2×C3×C4C2×#4112yes—
1086#67—28no—
1087#67—44no—
1088#67—44no—
1089#67—44no—
1090#67—82no—
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—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—44no—
1127C2×Dic3—44no—
1128C2×Dic3—44no—
1129C2×Dic3—82no—
1130C2×Dic3C22×D412yes—
1131C2×Dic3C22×D412yes—
1132C2×Dic3C22×D412yes—
1133C2×Dic3C2×#4112yes—
1134D12—44no—
1135C4×D3—44no—
1136C4×D3—44no—
1137C4×D3—82no—
1138Dic6—44no—
1139C24—31no—
1140C24—31no—
1141C24—31no—
1142C24—62no—
1143C24—62no—
1144C24—62no—
1145C24—62no—
1146C24—62no—
1147C24—62no—
1148C24—62no—
1149C24—121no—
1150C24—121no—
1151C24—121no—
1152C24—121no—
1153C24—121no—
1154C24—121no—
1155C24—121no—
1156C24C23×D311yescharacteristic
1157C24C23×D311yescharacteristic
1158C24C23×D311yescharacteristic
1159#41—416no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—41no—
1163C2×Q8—62no—
1164C2×Q8—121no—
1165C2×Q8—121no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—34no—
1173C2×D4—34no—
1174C2×D4—41no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—1216no—
1192C2×D4#23514yes—
1193C2×D4D3×D414yes—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—31no—
1207C22×C4—31no—
1208C22×C4—31no—
1209C22×C4—31no—
1210C22×C4—34no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—31no—
1214C22×C4—31no—
1215C22×C4—31no—
1216C22×C4—31no—
1217C22×C4—31no—
1218C22×C4—31no—
1219C22×C4—31no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—62no—
1234C22×C4—62no—
1235C22×C4—62no—
1236C22×C4—62no—
1237C22×C4—62no—
1238C22×C4—62no—
1239C22×C4—62no—
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×C4C23×D311yescharacteristic
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—34no—
1263C4⋊C4—41no—
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—62no—
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—34no—
1293C22⋊C4—34no—
1294C22⋊C4—34no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
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—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4—121no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4—121no—
1334C22⋊C4—121no—
1335C22⋊C4—121no—
1336C22⋊C4—121no—
1337C22⋊C4—121no—
1338C22⋊C4—121no—
1339C22⋊C4—121no—
1340C42—22no—
1341C42—41no—
1342C42—62no—
1343C42—62no—
1344C42—62no—
1345C42—62no—
1346C42—62no—
1347C42—62no—
1348C42—121no—
1349C42—121no—
1350C42—121no—
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—41no—
1364C22×C3—41no—
1365C22×C3—41no—
1366C22×C3—41no—
1367C22×C3—41no—
1368C22×C3—41no—
1369C22×C3—41no—
1370C22×C3—41no—
1371C22×C3#54614yes—
1372C22×C3C23×D411yescharacteristic
1373C22×C3C22×#4111yescharacteristic
1374C22×C3C22×#4111yescharacteristic
1375C22×C3C2×H(5,𝔽2)11yescharacteristic
1376C22×C3#58511yescharacteristic
1377C22×C3#58511yescharacteristic
1378C22×C3#58511yescharacteristic
1379C2×D3—22no—
1380C2×D3—22no—
1381C2×D3—22no—
1382C2×D3—22no—
1383C2×D3—22no—
1384C2×D3—22no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C2×D3—41no—
1398C2×D3—41no—
1399C2×D3—41no—
1400C2×D3—88no—
1401C2×D3—88no—
1402C3×C4—22no—
1403C3×C4—22no—
1404C3×C4—22no—
1405C3×C4—41no—
1406C3×C4—41no—
1407C3×C4—41no—
1408C3×C4—41no—
1409C3×C4—41no—
1410C3×C4—41no—
1411C3×C4—41no—
1412C3×C4—41no—
1413C3×C4—41no—
1414Dic3—22no—
1415Dic3—22no—
1416Dic3—22no—
1417Dic3—22no—
1418Dic3—41no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3—41no—
1422Dic3—41no—
1423Dic3—41no—
1424Dic3—41no—
1425Dic3—41no—
1426Dic3—41no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—32no—
1444C23—32no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—124no—
1465C23—124no—
1466C23—124no—
1467C23—124no—
1468C23—124no—
1469C23—124no—
1470C23—124no—
1471C23—242no—
1472C23—242no—
1473C23—242no—
1474C23—242no—
1475C23—242no—
1476C23—242no—
1477C23—242no—
1478C23C2×#23512yes—
1479C23C2×#23512yes—
1480C23C2×D3×D412yes—
1481C23C2×D3×D412yes—
1482C23#100412yes—
1483C23C24×D311yescharacteristic
1484Q8—44no—
1485Q8—124no—
1486D4—28no—
1487D4—28no—
1488D4—44no—
1489D4—68no—
1490D4—124no—
1491D4—124no—
1492D4—124no—
1493D4—124no—
1494D4—242no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—32no—
1529C2×C4—32no—
1530C2×C4—32no—
1531C2×C4—32no—
1532C2×C4—44no—
1533C2×C4—44no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
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—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—82no—
1573C2×C4—82no—
1574C2×C4—124no—
1575C2×C4—124no—
1576C2×C4—124no—
1577C2×C4—124no—
1578C2×C4—124no—
1579C2×C4—242no—
1580C2×C4—242no—
1581C2×C4C2×#23512yes—
1582C2×C4C2×D3×D412yes—
1583C2×C4D3×#4112yes—
1584C2×C3—24no—
1585C2×C3—42no—
1586C2×C3—42no—
1587C2×C3C2×#54611yescharacteristic
1588C2×C3D4×#4111yescharacteristic
1589C2×C3#347511yescharacteristic
1590C2×C3#348511yescharacteristic
1591C2×C3#351311yescharacteristic
1592C2×C3#352111yescharacteristic
1593C2×C3#354511yescharacteristic
1594D3—42no—
1595D3—42no—
1596D3—81no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—62no—
1618C22—62no—
1619C22—62no—
1620C22—62no—
1621C22—62no—
1622C22—62no—
1623C22—121no—
1624C22—121no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22—121no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—248no—
1639C22—248no—
1640C22#549014yes—
1641C22C22×#23511yescharacteristic
1642C22C22×D3×D411yescharacteristic
1643C22C2×#100411yescharacteristic
1644C22C2×D3×#4111yescharacteristic
1645C22#596411yescharacteristic
1646C22#596611yescharacteristic
1647C22#596811yescharacteristic
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—62no—
1661C4—62no—
1662C4—62no—
1663C4—62no—
1664C4—121no—
1665C4—121no—
1666C4—121no—
1667C4—121no—
1668C4—121no—
1669C4—121no—
1670C4—121no—
1671C4—121no—
1672C4—121no—
1673C3#5903211yescharacteristic, complemented, Sylow
1674C2—24no—
1675C2—42no—
1676C2—42no—
1677C2—122no—
1678C2—122no—
1679C2—241no—
1680C2C2×#549011yescharacteristic
1681C2#8584111yescharacteristic
1682C2#8589711yescharacteristic
1683C2#8662611yescharacteristic
1684C2#8665211yescharacteristic
1685C2#8668111yescharacteristic
1686C2#8670011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2339C2
prime radicalC2×#5829C2
hypercenter#2339D3
hypocenterC3#59032
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. C2×#5538C2semidirect
3. C3×#2339C2semidirect
4. #84090C2semidirect
5. #82414C2semidirect
6. #82404C2semidirect
7. #82342C2semidirect
8. #76635C2semidirect
9. #76563C2semidirect
10. #76515C2semidirect
11. #76514C2semidirect
12. #74919C2semidirect
13. #74892C2semidirect
14. #74878C2semidirect
15. #74763C2semidirect
16. #74760C2semidirect
17. #74730C2semidirect
18. #74686C2semidirect
19. #74661C2semidirect
20. #74138C2semidirect
21. #74132C2semidirect
22. #74075C2semidirect
23. #74072C2semidirect
24. #73962C2semidirect
25. #73909C2semidirect
26. #73574C2semidirect
27. #73496C2semidirect
28. #73377C2semidirect
29. #73375C2semidirect
30. #73337C2semidirect
31. C2×#4669C2semidirect
35. C2×C3×C4×D4C22semidirect
36. C2×C3×C4×D4C22semidirect
45. C2×#935C22semidirect
53. C2×C4×#67C22semidirect
58. C2×#926C22semidirect
59. C22×Dic3⋊C4C22semidirect
60. C22×C4×Dic3C22semidirect
62. C2×#898C22semidirect
63. C2×#889C22semidirect
65. C2×#885C22semidirect
68. C2×#879C22semidirect
69. C2×#878C22semidirect
70. C2×#872C22semidirect
71. C2×C4×Dic6C22semidirect
72. C3×#391C22semidirect
73. C3×#391C22semidirect
76. C3×#386C22semidirect
77. C3×#386C22semidirect
78. C3×#381C22semidirect
79. C3×#381C22semidirect
80. C3×#380C22semidirect
81. C3×C4×C22⋊C4C22semidirect
82. C2×C3×#95C22semidirect
83. C2×C3×#95C22semidirect
84. #5230C22semidirect
85. #5230C22semidirect
86. #5222C22semidirect
87. #5222C22semidirect
89. #5220C22semidirect
92. #5213C22semidirect
93. #5213C22semidirect
94. #5213C22semidirect
95. #5212C22semidirect
96. #5211C22semidirect
97. #5210C22semidirect
98. #5210C22semidirect
99. #5210C22semidirect
100. #5210C22semidirect
101. #5210C22semidirect
102. C4×#217C22semidirect
103. C2×C3⋊#95C22semidirect
105. #4994C22semidirect
106. #4993C22semidirect
108. #4990C22semidirect
109. #4978C22semidirect
113. #4961C22semidirect
115. #4959C22semidirect
118. #4956C22semidirect
124. #4950C22semidirect
125. #4949C22semidirect
126. #4947C22semidirect
127. #4946C22semidirect
128. #4945C22semidirect
129. #4945C22semidirect
130. #4945C22semidirect
131. #4943C22semidirect
132. #4942C22semidirect
133. Dic3×C22⋊C4C22semidirect
134. Dic3×C22⋊C4C22semidirect
135. Dic3×C22⋊C4C22semidirect
138. #4940C22semidirect
139. #4940C22semidirect
140. C4×(C2×D3)⋊C4C22semidirect
141. #4933C22semidirect
143. #4675C22semidirect
144. #4675C22semidirect
145. #4675C22semidirect
146. #4675C22semidirect
147. #4674C22semidirect
149. #4673C22semidirect
153. #4670C22semidirect
159. #4669C22semidirect
160. #4669C22semidirect
161. #4669C22semidirect
162. #4669C22semidirect
163. #4669C22semidirect
166. #4668C22semidirect
168. #4667C22semidirect
169. #4667C22semidirect
173. #4664C22semidirect
174. #4660C22semidirect
175. #4658C22semidirect
176. #4657C22semidirect
177. #4657C22semidirect
178. #4657C22semidirect
179. #4656C22semidirect
180. #4655C22semidirect
181. #4655C22semidirect
182. #4655C22semidirect
183. #4654C22semidirect
184. #4654C22semidirect
185. #4652C22semidirect
186. #4649C22semidirect
187. #4649C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
217. #2339D3semidirect
445. C2×C4×D4C2×D3semidirect
446. C2×C4×D4C2×D3semidirect
488. #391C2×D3semidirect
489. #391C2×D3semidirect
534. #386C2×D3semidirect
535. #386C2×D3semidirect
549. #381C2×D3semidirect
550. #381C2×D3semidirect
556. #380C2×D3semidirect
570. C4×C22⋊C4C2×D3semidirect
572. C2×#95C2×D3semidirect
573. C2×#95C2×D3semidirect
751. (C2×D3)⋊C4#41semidirect
1673. C3#59032semidirect

Maximal subgroups

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

subgroupindex
C2×#58292
C2×#55382
C3×#23392
#840902
#824142
#824042
#823422
#766352
#765632
#765152
#765142
#749192
#748922
#748782
#747632
#747602
#747302
#746862
#746612
#741382
#741322
#740752
#740722
#739622
#739092
#735742
#734962
#733772
#733752
#733372
C2×#46692
#590323