Finite Group Databasebeta

← #11097886

Subgroups — #11097886

Order 768.

2472 conjugacy classes of subgroups.

The subgroup lattice has 1732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5660C211yesmaximal, characteristic, complemented
2C2×#5490C211yesmaximal, characteristic, complemented
3C3×#2418C211yesmaximal, characteristic, complemented
4#82896C211yesmaximal, characteristic, complemented
5#82610C211yesmaximal, characteristic, complemented
6#82607C211yesmaximal, characteristic, complemented
7#82400C211yesmaximal, characteristic, complemented
8#82367C211yesmaximal, characteristic, complemented
9#82112C211yesmaximal, characteristic, complemented
10#78114C211yesmaximal, characteristic, complemented
11#78091C211yesmaximal, characteristic, complemented
12#77696C211yesmaximal, characteristic, complemented
13#77646C211yesmaximal, characteristic, complemented
14#77149C211yesmaximal, characteristic, complemented
15#77137C211yesmaximal, characteristic, complemented
16#76998C211yesmaximal, characteristic, complemented
17#76996C211yesmaximal, characteristic, complemented
18#75894C211yesmaximal, characteristic, complemented
19#75885C211yesmaximal, characteristic, complemented
20#75540C211yesmaximal, characteristic, complemented
21#75476C211yesmaximal, characteristic, complemented
22#74908C211yesmaximal, characteristic, complemented
23#74813C211yesmaximal, characteristic, complemented
24#74784C211yesmaximal, characteristic, complemented
25#74718C211yesmaximal, characteristic, complemented
26#74600C211yesmaximal, characteristic, complemented
27#74475C211yesmaximal, characteristic, complemented
28#74036C211yesmaximal, characteristic, complemented
29#73940C211yesmaximal, characteristic, complemented
30#73840C211yesmaximal, characteristic, complemented
31#73827C211yesmaximal, characteristic, complemented
32#40502—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×#120C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic, complemented
38C22×C3×C22⋊C4C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C2×#938C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#935C2211yescharacteristic
43C2×#930C2211yescharacteristic
44C2×#929C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic, complemented
47C2×C4×#67C2211yescharacteristic, complemented
48C2×#924C2211yescharacteristic, complemented
49#5660—28no—
50C2×#896C2211yescharacteristic, complemented
51C2×#894C2211yescharacteristic, complemented
52C2×D3×C4⋊C4C2211yescharacteristic, complemented
53C2×#890C2211yescharacteristic, complemented
54C2×#889C2211yescharacteristic, complemented
55C2×#885C2211yescharacteristic
56C2×#885C2211yescharacteristic
57C2×#885C2211yescharacteristic
58#5490—28no—
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#883C2211yescharacteristic
62C2×#883C2211yescharacteristic
63C2×#883C2211yescharacteristic, complemented
64C2×#883C2211yescharacteristic, complemented
65C2×#882C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×#879C2211yescharacteristic
69C2×#879C2211yescharacteristic, complemented
70C2×#878C2211yescharacteristic
71C2×#878C2211yescharacteristic
72C3×#399C2211yescharacteristic, complemented
73C3×#397C2211yescharacteristic
74C3×#394C2211yescharacteristic
75C3×#394C2211yescharacteristic, complemented
76C3×#388C2211yescharacteristic
77C3×#388C2211yescharacteristic, complemented
78C3×#386C2211yescharacteristic, complemented
79C3×#386C2211yescharacteristic, complemented
80C3×#385C2211yescharacteristic, complemented
81C3×#380C2211yescharacteristic, complemented
82C3×#379C2211yescharacteristic
83#5247C2211yescharacteristic
84#5247C2211yescharacteristic
85#5223C2211yescharacteristic
86#5223C2211yescharacteristic
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic, complemented
90#5223C2211yescharacteristic, complemented
91#5222C2211yescharacteristic
92#5222C2211yescharacteristic, complemented
93#5221C2211yescharacteristic, complemented
94#5213C2211yescharacteristic, complemented
95#5212C2211yescharacteristic, complemented
96#5210C2211yescharacteristic, complemented
97#5210C2211yescharacteristic, complemented
98C4×#217C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4993C2211yescharacteristic, complemented
103#4991C2211yescharacteristic, complemented
104#4990C2211yescharacteristic, complemented
105#4990C2211yescharacteristic, complemented
106#4989C2211yescharacteristic, complemented
107#4987C2211yescharacteristic, complemented
108#4987C2211yescharacteristic, complemented
109#4979C2211yescharacteristic, complemented
110#4979C2211yescharacteristic, complemented
111#4979C2211yescharacteristic, complemented
112Dic3×C4⋊C4C2211yescharacteristic, complemented
113#4972C2211yescharacteristic, complemented
114#4961C2211yescharacteristic
115#4961C2211yescharacteristic
116#4961C2211yescharacteristic, complemented
117#4961C2211yescharacteristic, complemented
118#4960C2211yescharacteristic, complemented
119#4960C2211yescharacteristic, complemented
120#4959C2211yescharacteristic
121#4959C2211yescharacteristic
122#4959C2211yescharacteristic
123#4959C2211yescharacteristic
124#4959C2211yescharacteristic
125#4959C2211yescharacteristic
126#4959C2211yescharacteristic, complemented
127#4959C2211yescharacteristic, complemented
128#4957C2211yescharacteristic
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic
131#4957C2211yescharacteristic
132#4957C2211yescharacteristic, complemented
133#4956C2211yescharacteristic, complemented
134#4956C2211yescharacteristic, complemented
135#4956C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4955C2211yescharacteristic
138#4955C2211yescharacteristic
139#4955C2211yescharacteristic
140#4953C2211yescharacteristic
141#4953C2211yescharacteristic
142#4953C2211yescharacteristic, complemented
143#4952C2211yescharacteristic
144#4952C2211yescharacteristic
145#4952C2211yescharacteristic
146#4951C2211yescharacteristic
147#4951C2211yescharacteristic, complemented
148#4951C2211yescharacteristic, complemented
149#4951C2211yescharacteristic, complemented
150#4949C2211yescharacteristic, complemented
151#4948C2211yescharacteristic, complemented
152#4948C2211yescharacteristic, complemented
153#4948C2211yescharacteristic, complemented
154#4948C2211yescharacteristic, complemented
155#4947C2211yescharacteristic, complemented
156#4945C2211yescharacteristic, complemented
157#4944C2211yescharacteristic, complemented
158#4944C2211yescharacteristic, complemented
159#4944C2211yescharacteristic, complemented
160#4943C2211yescharacteristic
161Dic3×C22⋊C4C2211yescharacteristic
162#4940C2211yescharacteristic, complemented
163C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
165C4×Dic3⋊C4C2211yescharacteristic, complemented
166#4676C2211yescharacteristic, complemented
167#4674C2211yescharacteristic, complemented
168#4672C2211yescharacteristic, complemented
169#4670C2211yescharacteristic, complemented
170#4670C2211yescharacteristic, complemented
171#4670C2211yescharacteristic, complemented
172#4670C2211yescharacteristic, complemented
173#4669C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180#4660C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4658C2211yescharacteristic, complemented
183#4658C2211yescharacteristic, complemented
184#4658C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4656C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#539—31no—
192#2820—31no—
193#2817—31no—
194#2703—31no—
195#2703—31no—
196#2697—31no—
197#2697—31no—
198#2678—31no—
199#2678—31no—
200#2672—31no—
201#2672—31no—
202#2663—31no—
203#2662—31no—
204#2636—31no—
205#2635—31no—
206#2613—31no—
207#2591—31no—
208#2562—31no—
209#2558—31no—
210#2558—31no—
211#2480—31no—
212#2480—31no—
213#2461—31no—
214#2461—31no—
215#2435—31no—
216#2418—31no—
217#2418D311yescharacteristic, complemented
218#2406—31no—
219#2388—31no—
220#2357—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67—24no—
230C22×#67—42no—
231C22×#67—42no—
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C2×#235—24no—
244C2×#235—42no—
245C2×#235—42no—
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C22×Dic6C2311yescharacteristic
255C3×#123—24no—
256C3×#120—42no—
257C3×C4×D4—42no—
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4—24no—
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
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C42C2311yescharacteristic
281#953—24no—
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
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302#938—24no—
303#937—42no—
304#935—24no—
305#930—24no—
306#929—24no—
307C4×#67—24no—
308C4×#67—24no—
309C4×#67—42no—
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
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342#924—24no—
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×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366#896—24no—
367#894—42no—
368D3×C4⋊C4—24no—
369#890—24no—
370#889—24no—
371#885—24no—
372#885—42no—
373#885—42no—
374#884—24no—
375#884—24no—
376#883—24no—
377#883—24no—
378#883—24no—
379#883—42no—
380#882—24no—
381#67⋊C4D418yescomplemented
382D3×C22⋊C4—24no—
383#879—24no—
384#879—24no—
385#878—24no—
386#878—24no—
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×#41—31no—
418C23×D4—31no—
419#546—68no—
420#539—68no—
421C2×#126—31no—
422C2×#126—31no—
423C2×#125—31no—
424C2×#125—31no—
425C2×#124—31no—
426C2×#124—31no—
427C2×#124—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123C2×D311yescharacteristic
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#120—31no—
445C2×#120—31no—
446C2×#120—31no—
447C2×#120C2×D311yescharacteristic
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4C2×D311yescharacteristic, complemented
453C22×C4⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C22⋊C4C2×D311yescharacteristic
456#400—31no—
457#400—31no—
458#400—31no—
459#400—31no—
460#400—31no—
461#399—31no—
462#399—31no—
463#399C2×D311yescharacteristic, complemented
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397C2×D311yescharacteristic
472#396—31no—
473#396—31no—
474#396—31no—
475#396—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#395—31no—
481#395—31no—
482#395—31no—
483#395—31no—
484#395—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394C2×D311yescharacteristic
502#394C2×D311yescharacteristic, complemented
503#393—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#390—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#389—31no—
519#389—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388C2×D311yescharacteristic
537#388C2×D311yescharacteristic, complemented
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386C2×D311yescharacteristic, complemented
547#386C2×D311yescharacteristic, complemented
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385C2×D311yescharacteristic, complemented
554#382—31no—
555#381—31no—
556#381—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380C2×D311yescharacteristic, complemented
561#379—31no—
562#379—31no—
563#379—31no—
564#379—31no—
565#379—31no—
566#379C2×D311yescharacteristic
567C4×C4⋊C4—31no—
568C4×C4⋊C4—31no—
569C4×C4⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C24×C3—22no—
575C24×C3—22no—
576C24×C3—41no—
577C24×C3—41no—
578C24×C3—41no—
579C24×C3—41no—
580C24×C3—41no—
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C23×D3C2411yescharacteristic
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C2×C3×D4—41no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—416no—
654C2×#67C2×D414yes—
655C22×Dic3—41no—
656C22×Dic3—41no—
657C22×Dic3C2×D414yes—
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671#235—416no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—41no—
676C2×D12—41no—
677C2×D12—41no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3C2×D414yes—
693C2×Dic6—22no—
694C2×Dic6—22no—
695C2×Dic6—41no—
696C2×Dic6—41no—
697C2×Dic6—41no—
698C2×Dic6—41no—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—22no—
701C3×C4⋊C4—41no—
702C3×C4⋊C4—41no—
703C3×C4⋊C4—41no—
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—41no—
712C3×C22⋊C4—41no—
713C3×C22⋊C4—41no—
714C3×C22⋊C4—41no—
715C3×C22⋊C4—41no—
716C3×C22⋊C4—41no—
717C3×C22⋊C4—41no—
718C3×C22⋊C4—41no—
719C3×C22⋊C4C2×D414yes—
720C3×C42—41no—
721#217—22no—
722#217—22no—
723#217—22no—
724#217—22no—
725#217—22no—
726#217—22no—
727#217—22no—
728#217—22no—
729#217—22no—
730#217—41no—
731#217—41no—
732#217—41no—
733#217—41no—
734#217—41no—
735#217—41no—
736#217—41no—
737#217—41no—
738#217—41no—
739#217—41no—
740#217—41no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4C2×D414yes—
765C4⋊Dic3—22no—
766C4⋊Dic3—22no—
767C4⋊Dic3—22no—
768C4⋊Dic3—22no—
769C4⋊Dic3—22no—
770C4⋊Dic3—41no—
771C4⋊Dic3—41no—
772C4⋊Dic3—41no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4C2×D414yes—
789C4×Dic3—22no—
790C4×Dic3—41no—
791C4×Dic3—41no—
792C4×Dic3—41no—
793C4×Dic3—41no—
794C4×Dic3—41no—
795C4×Dic3C2×D414yes—
796C25—31no—
797C25C22×D311yescharacteristic
798C2×#41—64no—
799C2×#41—122no—
800C2×#41—122no—
801C22×Q8—31no—
802C22×Q8—31no—
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—64no—
816C22×D4—122no—
817C22×D4—122no—
818C22×D4C22×D311yescharacteristic
819C22×D4C22×D311yescharacteristic
820C22×D4C22×D311yescharacteristic
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4C22×D311yescharacteristic
828C23×C4C22×D311yescharacteristic
829C23×C4C22×D311yescharacteristic
830#126—64no—
831#126—64no—
832#125—64no—
833#125—64no—
834#124—64no—
835#124—122no—
836#124—122no—
837#123—24no—
838#123—64no—
839#123—64no—
840#123—64no—
841#123—64no—
842#123—64no—
843#123—122no—
844#123—122no—
845C22⋊Q8—64no—
846C22⋊Q8—64no—
847C22⋊Q8—64no—
848C22⋊Q8—64no—
849#121—64no—
850#121—64no—
851#121—64no—
852#121—64no—
853#120—42no—
854#120—64no—
855#120—64no—
856#120—122no—
857C4×D4—38no—
858C4×D4—42no—
859C4×D4—64no—
860C4×D4—64no—
861C4×D4—122no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—64no—
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C4⋊C4C22×D311yescharacteristic
890C2×C4⋊C4C22×D311yescharacteristic
891C2×C4⋊C4C22×D311yescharacteristic
892C2×C22⋊C4—24no—
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—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—64no—
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C42—31no—
955C2×C42—31no—
956C2×C42—31no—
957C2×C42—31no—
958C2×C42—31no—
959C2×C42—31no—
960C2×C42—31no—
961C2×C42C22×D311yescharacteristic
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—44no—
1019C23×C3—44no—
1020C23×C3—82no—
1021C23×C3—82no—
1022C23×C3—82no—
1023C23×C3—82no—
1024C23×C3—82no—
1025C23×C3C22×D412yes—
1026C23×C3H(5,𝔽2)12yes—
1027C23×C3C2511yescharacteristic
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—44no—
1048C22×D3—44no—
1049C22×D3—82no—
1050C22×D3—82no—
1051C22×D3—82no—
1052C22×D3—82no—
1053C22×D3—82no—
1054C22×D3C22×D412yes—
1055C22×D3H(5,𝔽2)12yes—
1056C3×D4—44no—
1057C3×D4—82no—
1058C3×D4—82no—
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—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—44no—
1091C2×C3×C4—82no—
1092C2×C3×C4—82no—
1093C2×C3×C4C22×D412yes—
1094C2×C3×C4C22×D412yes—
1095#67—28no—
1096#67—44no—
1097#67—44no—
1098#67—44no—
1099#67—44no—
1100#67—44no—
1101#67—44no—
1102#67—44no—
1103#67—82no—
1104#67—82no—
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—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—44no—
1142C2×Dic3C22×D412yes—
1143C2×Dic3C22×D412yes—
1144C2×Dic3C22×D412yes—
1145D12—44no—
1146D12—82no—
1147C4×D3—44no—
1148C4×D3—44no—
1149C4×D3—44no—
1150C4×D3—82no—
1151C4×D3—82no—
1152Dic6—44no—
1153Dic6—82no—
1154C24—22no—
1155C24—22no—
1156C24—31no—
1157C24—31no—
1158C24—31no—
1159C24—41no—
1160C24—41no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24—62no—
1165C24—62no—
1166C24—121no—
1167C24—121no—
1168C24—121no—
1169C24—121no—
1170C24—121no—
1171C24C23×D311yescharacteristic
1172C24C23×D311yescharacteristic
1173C24C23×D311yescharacteristic
1174C24C23×D311yescharacteristic
1175#41—1216no—
1176C2×Q8—62no—
1177C2×Q8—62no—
1178C2×Q8—121no—
1179C2×Q8—121no—
1180C2×Q8—121no—
1181C2×Q8—121no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—34no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—62no—
1193C2×D4—62no—
1194C2×D4—62no—
1195C2×D4—62no—
1196C2×D4—62no—
1197C2×D4—62no—
1198C2×D4—62no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—121no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C2×D4—121no—
1217C2×D4—121no—
1218C2×D4—121no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C2×D4—121no—
1222C2×D4—121no—
1223C2×D4—121no—
1224C2×D4—121no—
1225C2×D4—121no—
1226C2×D4—121no—
1227C2×D4—1216no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—34no—
1236C22×C4—34no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—31no—
1241C22×C4—31no—
1242C22×C4—31no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—62no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—62no—
1257C22×C4—121no—
1258C22×C4—121no—
1259C22×C4—121no—
1260C22×C4—121no—
1261C22×C4—121no—
1262C22×C4—121no—
1263C22×C4—121no—
1264C22×C4—121no—
1265C22×C4—121no—
1266C22×C4—121no—
1267C22×C4—121no—
1268C22×C4C23×D311yescharacteristic
1269C22×C4C23×D311yescharacteristic
1270C22×C4C23×D311yescharacteristic
1271C22×C4C23×D311yescharacteristic
1272C22×C4C23×D311yescharacteristic
1273C22×C4C23×D311yescharacteristic
1274C22×C4C23×D311yescharacteristic
1275C22×C4C23×D311yescharacteristic
1276C22×C4C23×D311yescharacteristic
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—34no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—62no—
1286C4⋊C4—62no—
1287C4⋊C4—62no—
1288C4⋊C4—62no—
1289C4⋊C4—62no—
1290C4⋊C4—62no—
1291C4⋊C4—62no—
1292C4⋊C4—62no—
1293C4⋊C4—62no—
1294C4⋊C4—62no—
1295C4⋊C4—62no—
1296C4⋊C4—62no—
1297C4⋊C4—62no—
1298C4⋊C4—62no—
1299C4⋊C4—121no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C4⋊C4—121no—
1306C4⋊C4—121no—
1307C4⋊C4—121no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—34no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—121no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4D3×D414yes—
1368C42—34no—
1369C42—41no—
1370C42—62no—
1371C42—121no—
1372C42—121no—
1373C42—121no—
1374C42—121no—
1375C42—121no—
1376C22×C3—22no—
1377C22×C3—22no—
1378C22×C3—22no—
1379C22×C3—22no—
1380C22×C3—22no—
1381C22×C3—22no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3—41no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—88no—
1405C22×C3C23×D411yescharacteristic
1406C22×C3C2×H(5,𝔽2)11yescharacteristic
1407C22×C3C2×H(5,𝔽2)11yescharacteristic
1408C22×C3#58511yescharacteristic
1409C22×C3#58511yescharacteristic
1410C22×C3#58511yescharacteristic
1411C22×C3#58511yescharacteristic
1412C2×D3—22no—
1413C2×D3—22no—
1414C2×D3—22no—
1415C2×D3—22no—
1416C2×D3—22no—
1417C2×D3—22no—
1418C2×D3—41no—
1419C2×D3—41no—
1420C2×D3—41no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—41no—
1427C2×D3—41no—
1428C2×D3—41no—
1429C2×D3—41no—
1430C2×D3—41no—
1431C2×D3—41no—
1432C2×D3—41no—
1433C2×D3—88no—
1434C3×C4—22no—
1435C3×C4—22no—
1436C3×C4—41no—
1437C3×C4—41no—
1438C3×C4—41no—
1439C3×C4—41no—
1440C3×C4—41no—
1441C3×C4—41no—
1442C3×C4—41no—
1443C3×C4—41no—
1444C3×C4—41no—
1445Dic3—22no—
1446Dic3—22no—
1447Dic3—22no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
1451Dic3—41no—
1452Dic3—41no—
1453Dic3—41no—
1454Dic3—41no—
1455Dic3—41no—
1456Dic3—41no—
1457Dic3—41no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—32no—
1485C23—32no—
1486C23—44no—
1487C23—44no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—61no—
1499C23—61no—
1500C23—61no—
1501C23—61no—
1502C23—61no—
1503C23—61no—
1504C23—61no—
1505C23—61no—
1506C23—61no—
1507C23—82no—
1508C23—82no—
1509C23—82no—
1510C23—82no—
1511C23—82no—
1512C23—124no—
1513C23—124no—
1514C23—242no—
1515C23—242no—
1516C23—242no—
1517C23—242no—
1518C23—242no—
1519C23C2×D3×D412yes—
1520C23#100412yes—
1521C23C24×D311yescharacteristic
1522Q8—124no—
1523Q8—242no—
1524D4—44no—
1525D4—68no—
1526D4—82no—
1527D4—82no—
1528D4—124no—
1529D4—124no—
1530D4—124no—
1531D4—124no—
1532D4—124no—
1533D4—124no—
1534D4—124no—
1535D4—124no—
1536D4—242no—
1537D4—242no—
1538D4—242no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—32no—
1571C2×C4—32no—
1572C2×C4—32no—
1573C2×C4—44no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—82no—
1611C2×C4—82no—
1612C2×C4—124no—
1613C2×C4—124no—
1614C2×C4—124no—
1615C2×C4—124no—
1616C2×C4—242no—
1617C2×C4—242no—
1618C2×C4C2×D3×D412yes—
1619C2×C4C2×D3×D412yes—
1620C2×C3—42no—
1621C2×C3—42no—
1622C2×C3—81no—
1623C2×C3—81no—
1624C2×C3#344911yescharacteristic
1625C2×C3#348411yescharacteristic
1626C2×C3#350011yescharacteristic
1627C2×C3#353311yescharacteristic
1628C2×C3#353311yescharacteristic
1629C2×C3#356011yescharacteristic
1630C2×C3#356011yescharacteristic
1631D3—42no—
1632D3—42no—
1633D3—81no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—62no—
1663C22—62no—
1664C22—62no—
1665C22—62no—
1666C22—62no—
1667C22—62no—
1668C22—88no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22—121no—
1675C22—121no—
1676C22—121no—
1677C22—121no—
1678C22—121no—
1679C22—121no—
1680C22—121no—
1681C22—121no—
1682C22—121no—
1683C22—121no—
1684C22—248no—
1685C22C22×D3×D411yescharacteristic
1686C22C2×#100411yescharacteristic
1687C22#596411yescharacteristic
1688C22#596411yescharacteristic
1689C22#596411yescharacteristic
1690C22D3×H(5,𝔽2)11yescharacteristic
1691C22#596611yescharacteristic
1692C4—22no—
1693C4—22no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—62no—
1704C4—62no—
1705C4—62no—
1706C4—121no—
1707C4—121no—
1708C4—121no—
1709C4—121no—
1710C4—121no—
1711C4—121no—
1712C4—121no—
1713C4—121no—
1714C4—121no—
1715C4—121no—
1716C3#4050211yescharacteristic, complemented, Sylow
1717C2—42no—
1718C2—42no—
1719C2—81no—
1720C2—81no—
1721C2—122no—
1722C2—122no—
1723C2—241no—
1724C2#8601611yescharacteristic
1725C2#8603511yescharacteristic
1726C2#8641911yescharacteristic
1727C2#8662011yescharacteristic
1728C2#8663211yescharacteristic
1729C2#8665611yescharacteristic
1730C2#8682311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2418C2
hypercenter#2418D3
hypocenterC3#40502
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C2×#5660C2semidirect
2. C2×#5490C2semidirect
3. C3×#2418C2semidirect
4. #82896C2semidirect
5. #82610C2semidirect
6. #82607C2semidirect
7. #82400C2semidirect
8. #82367C2semidirect
9. #82112C2semidirect
10. #78114C2semidirect
11. #78091C2semidirect
12. #77696C2semidirect
13. #77646C2semidirect
14. #77149C2semidirect
15. #77137C2semidirect
16. #76998C2semidirect
17. #76996C2semidirect
18. #75894C2semidirect
19. #75885C2semidirect
20. #75540C2semidirect
21. #75476C2semidirect
22. #74908C2semidirect
23. #74813C2semidirect
24. #74784C2semidirect
25. #74718C2semidirect
26. #74600C2semidirect
27. #74475C2semidirect
28. #74036C2semidirect
29. #73940C2semidirect
30. #73840C2semidirect
31. #73827C2semidirect
37. C2×C3×C4×D4C22semidirect
46. C2×C4×#67C22semidirect
47. C2×C4×#67C22semidirect
48. C2×#924C22semidirect
50. C2×#896C22semidirect
51. C2×#894C22semidirect
52. C2×D3×C4⋊C4C22semidirect
53. C2×#890C22semidirect
54. C2×#889C22semidirect
63. C2×#883C22semidirect
64. C2×#883C22semidirect
69. C2×#879C22semidirect
72. C3×#399C22semidirect
75. C3×#394C22semidirect
77. C3×#388C22semidirect
78. C3×#386C22semidirect
79. C3×#386C22semidirect
80. C3×#385C22semidirect
81. C3×#380C22semidirect
89. #5223C22semidirect
90. #5223C22semidirect
92. #5222C22semidirect
93. #5221C22semidirect
94. #5213C22semidirect
95. #5212C22semidirect
96. #5210C22semidirect
97. #5210C22semidirect
98. C4×#217C22semidirect
99. #4994C22semidirect
100. #4994C22semidirect
101. #4994C22semidirect
102. #4993C22semidirect
103. #4991C22semidirect
104. #4990C22semidirect
105. #4990C22semidirect
106. #4989C22semidirect
107. #4987C22semidirect
108. #4987C22semidirect
109. #4979C22semidirect
110. #4979C22semidirect
111. #4979C22semidirect
112. Dic3×C4⋊C4C22semidirect
113. #4972C22semidirect
116. #4961C22semidirect
117. #4961C22semidirect
118. #4960C22semidirect
119. #4960C22semidirect
126. #4959C22semidirect
127. #4959C22semidirect
132. #4957C22semidirect
133. #4956C22semidirect
134. #4956C22semidirect
135. #4956C22semidirect
136. #4956C22semidirect
142. #4953C22semidirect
147. #4951C22semidirect
148. #4951C22semidirect
149. #4951C22semidirect
150. #4949C22semidirect
151. #4948C22semidirect
152. #4948C22semidirect
153. #4948C22semidirect
154. #4948C22semidirect
155. #4947C22semidirect
156. #4945C22semidirect
157. #4944C22semidirect
158. #4944C22semidirect
159. #4944C22semidirect
162. #4940C22semidirect
163. C4×(C2×D3)⋊C4C22semidirect
164. C4×(C2×D3)⋊C4C22semidirect
165. C4×Dic3⋊C4C22semidirect
166. #4676C22semidirect
167. #4674C22semidirect
168. #4672C22semidirect
169. #4670C22semidirect
170. #4670C22semidirect
171. #4670C22semidirect
172. #4670C22semidirect
173. #4669C22semidirect
174. #4668C22semidirect
175. #4668C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4664C22semidirect
180. #4660C22semidirect
181. #4660C22semidirect
182. #4658C22semidirect
183. #4658C22semidirect
184. #4658C22semidirect
185. #4656C22semidirect
186. #4656C22semidirect
187. #4650C22semidirect
188. #4649C22semidirect
189. #4647C22semidirect
217. #2418D3semidirect
381. #67⋊C4D4semidirect
452. C2×C4×D4C2×D3semidirect
463. #399C2×D3semidirect
502. #394C2×D3semidirect
537. #388C2×D3semidirect
546. #386C2×D3semidirect
547. #386C2×D3semidirect
553. #385C2×D3semidirect
560. #380C2×D3semidirect
1716. C3#40502semidirect

Maximal subgroups

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

subgroupindex
C2×#56602
C2×#54902
C3×#24182
#828962
#826102
#826072
#824002
#823672
#821122
#781142
#780912
#776962
#776462
#771492
#771372
#769982
#769962
#758942
#758852
#755402
#754762
#749082
#748132
#747842
#747182
#746002
#744752
#740362
#739402
#738402
#738272
#405023