Finite Group Databasebeta

← #11141496

Subgroups — #11141496

Order 768.

2272 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5662C211yesmaximal, characteristic, complemented
2C2×#5556C211yesmaximal, characteristic, complemented
3C3×#2455C211yesmaximal, characteristic, complemented
4#82901C211yesmaximal, characteristic, complemented
5#82896C211yesmaximal, characteristic, complemented
6#82870C211yesmaximal, characteristic, complemented
7#82410C211yesmaximal, characteristic, complemented
8#82367C211yesmaximal, characteristic, complemented
9#82347C211yesmaximal, characteristic, complemented
10#78065C211yesmaximal, characteristic, complemented
11#78057C211yesmaximal, characteristic, complemented
12#77129C211yesmaximal, characteristic, complemented
13#77087C211yesmaximal, characteristic, complemented
14#77024C211yesmaximal, characteristic, complemented
15#76998C211yesmaximal, characteristic, complemented
16#76766C211yesmaximal, characteristic, complemented
17#76741C211yesmaximal, characteristic, complemented
18#76250C211yesmaximal, characteristic, complemented
19#76130C211yesmaximal, characteristic, complemented
20#76097C211yesmaximal, characteristic, complemented
21#76010C211yesmaximal, characteristic, complemented
22#75900C211yesmaximal, characteristic, complemented
23#75844C211yesmaximal, characteristic, complemented
24#75704C211yesmaximal, characteristic, complemented
25#75473C211yesmaximal, characteristic, complemented
26#74623C211yesmaximal, characteristic, complemented
27#74621C211yesmaximal, characteristic, complemented
28#74508C211yesmaximal, characteristic, complemented
29#74487C211yesmaximal, characteristic, complemented
30#74431C211yesmaximal, characteristic, complemented
31#74425C211yesmaximal, characteristic, complemented
32#41960—31nomaximal, Sylow
33C2×C3×#123C2211yescharacteristic
34C2×C3×#123C2211yescharacteristic
35C2×C3×C4×D4C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic, complemented
37C2×#939C2211yescharacteristic
38C2×#937C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#936C2211yescharacteristic
41C2×#935C2211yescharacteristic
42C2×#929C2211yescharacteristic
43C2×#929C2211yescharacteristic
44C2×C4×#67C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic, complemented
47C2×C4×#67C2211yescharacteristic, complemented
48C22×(C2×D3)⋊C4C2211yescharacteristic
49C2×#924C2211yescharacteristic
50C2×#924C2211yescharacteristic, complemented
51#5662—28no—
52#5556—28no—
53C2×#898C2211yescharacteristic
54C2×#898C2211yescharacteristic, complemented
55C2×#896C2211yescharacteristic
56C2×#896C2211yescharacteristic, complemented
57C2×#888C2211yescharacteristic, complemented
58C2×#888C2211yescharacteristic, complemented
59C2×#888C2211yescharacteristic, complemented
60C2×#887C2211yescharacteristic, complemented
61C2×#885C2211yescharacteristic
62C2×#885C2211yescharacteristic
63C2×#885C2211yescharacteristic
64C2×#885C2211yescharacteristic
65C2×#885C2211yescharacteristic, complemented
66C2×#883C2211yescharacteristic
67C2×#883C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×#879C2211yescharacteristic, complemented
71C2×#878C2211yescharacteristic
72C2×#877C2211yescharacteristic
73C2×#876C2211yescharacteristic
74C2×C4×D12C2211yescharacteristic
75C2×#872C2211yescharacteristic
76C3×#399C2211yescharacteristic, complemented
77C3×#394C2211yescharacteristic
78C3×#394C2211yescharacteristic, complemented
79C3×#392C2211yescharacteristic
80C3×#389C2211yescharacteristic, complemented
81C3×#389C2211yescharacteristic, complemented
82C3×#388C2211yescharacteristic
83C3×#388C2211yescharacteristic, complemented
84C3×#385C2211yescharacteristic
85C3×#385C2211yescharacteristic, complemented
86C3×#385C2211yescharacteristic, complemented
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic, complemented
91#5222C2211yescharacteristic
92#5222C2211yescharacteristic
93#5222C2211yescharacteristic, complemented
94#5213C2211yescharacteristic
95#5210C2211yescharacteristic
96#5210C2211yescharacteristic, complemented
97#4994C2211yescharacteristic
98#4994C2211yescharacteristic
99#4994C2211yescharacteristic, complemented
100#4993C2211yescharacteristic
101#4993C2211yescharacteristic
102#4993C2211yescharacteristic
103#4993C2211yescharacteristic
104#4993C2211yescharacteristic
105#4993C2211yescharacteristic, complemented
106#4991C2211yescharacteristic
107#4990C2211yescharacteristic
108#4990C2211yescharacteristic
109#4989C2211yescharacteristic
110#4989C2211yescharacteristic, complemented
111#4988C2211yescharacteristic
112#4988C2211yescharacteristic
113#4988C2211yescharacteristic
114#4987C2211yescharacteristic
115#4987C2211yescharacteristic
116#4980C2211yescharacteristic, complemented
117#4979C2211yescharacteristic, complemented
118#4979C2211yescharacteristic, complemented
119#4979C2211yescharacteristic, complemented
120#4977C2211yescharacteristic, complemented
121#4976C2211yescharacteristic, complemented
122#4976C2211yescharacteristic, complemented
123#4976C2211yescharacteristic, complemented
124#4972C2211yescharacteristic, complemented
125#4961C2211yescharacteristic
126#4961C2211yescharacteristic
127#4961C2211yescharacteristic, complemented
128#4960C2211yescharacteristic
129#4960C2211yescharacteristic
130#4960C2211yescharacteristic
131#4960C2211yescharacteristic
132#4959C2211yescharacteristic
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4957C2211yescharacteristic
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic
139#4957C2211yescharacteristic
140#4956C2211yescharacteristic
141#4955C2211yescharacteristic
142#4955C2211yescharacteristic
143#4953C2211yescharacteristic
144#4952C2211yescharacteristic
145#4951C2211yescharacteristic
146#4951C2211yescharacteristic, complemented
147#4949C2211yescharacteristic, complemented
148#4949C2211yescharacteristic, complemented
149#4949C2211yescharacteristic, complemented
150#4949C2211yescharacteristic, complemented
151#4948C2211yescharacteristic, complemented
152#4948C2211yescharacteristic, complemented
153#4947C2211yescharacteristic, complemented
154#4947C2211yescharacteristic, complemented
155#4945C2211yescharacteristic
156#4944C2211yescharacteristic
157#4944C2211yescharacteristic, complemented
158#4944C2211yescharacteristic, complemented
159#4942C2211yescharacteristic
160Dic3×C22⋊C4C2211yescharacteristic
161#4940C2211yescharacteristic
162#4940C2211yescharacteristic, complemented
163#4932C2211yescharacteristic, complemented
164C4×Dic3⋊C4C2211yescharacteristic, complemented
165#4928C2211yescharacteristic, complemented
166#4677C2211yescharacteristic
167#4676C2211yescharacteristic
168#4676C2211yescharacteristic
169#4676C2211yescharacteristic, complemented
170#4673C2211yescharacteristic
171#4673C2211yescharacteristic
172#4673C2211yescharacteristic
173#4673C2211yescharacteristic
174#4673C2211yescharacteristic, complemented
175#4672C2211yescharacteristic
176#4669C2211yescharacteristic
177#4669C2211yescharacteristic, complemented
178#4668C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4658C2211yescharacteristic, complemented
182#4658C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4650C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4648C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#542—31no—
192#2819—31no—
193#2813—31no—
194#2727—31no—
195#2727—31no—
196#2705—31no—
197#2705—31no—
198#2674—31no—
199#2674—31no—
200#2670—31no—
201#2670—31no—
202#2663—31no—
203#2658—31no—
204#2636—31no—
205#2628—31no—
206#2626—31no—
207#2610—31no—
208#2604—31no—
209#2580—31no—
210#2539—31no—
211#2461—31no—
212#2461—31no—
213#2455—31no—
214#2455D311yescharacteristic, complemented
215#2452—31no—
216#2452—31no—
217#2418—31no—
218#2418—31no—
219#2397—31no—
220#2346—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×Dic6C2311yescharacteristic
242C22×Dic6C2311yescharacteristic
243C22×Dic6C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C3×#123—24no—
246C3×#123—42no—
247C3×C4×D4—24no—
248C3×C4×D4—42no—
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×C3×C42C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287#939—24no—
288#937—24no—
289#937—42no—
290#936—24no—
291#935—24no—
292#929—24no—
293#929—42no—
294C4×#67—24no—
295C4×#67—24no—
296C4×#67—42no—
297C4×#67—42no—
298C2×(C2×D3)⋊C4—24no—
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334#924—24no—
335#924—24no—
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366#898—24no—
367#898—24no—
368#896—24no—
369#896—24no—
370#888—24no—
371#888—42no—
372#888—42no—
373#887—24no—
374#885—24no—
375#885—24no—
376#885—24no—
377#885—42no—
378#885—42no—
379#883—24no—
380#883—24no—
381#882—42no—
382D3×C22⋊C4—24no—
383#879—24no—
384#878—24no—
385#877D418yescomplemented
386#876—24no—
387C4×D12—42no—
388#872—24no—
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
417#551—68no—
418#542—68no—
419C2×C4⋊Q8—31no—
420C2×C4⋊Q8—31no—
421C2×C4⋊Q8—31no—
422C2×#126—31no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#126—31no—
426C2×#124—31no—
427C2×#124—31no—
428C2×#124—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#124—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123C2×D311yescharacteristic
438C2×#123C2×D311yescharacteristic
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×#121—31no—
445C2×#120—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×C4×Q8—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4C2×D311yescharacteristic
455C2×C4×D4C2×D311yescharacteristic, complemented
456C2×#117—31no—
457C2×#117—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460#400—31no—
461#400—31no—
462#399—31no—
463#399—31no—
464#399—31no—
465#399—31no—
466#399—31no—
467#399—31no—
468#399—31no—
469#399—31no—
470#399—31no—
471#399—31no—
472#399—31no—
473#399C2×D311yescharacteristic, complemented
474#397—31no—
475#397—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#395—31no—
485#395—31no—
486#395—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#394C2×D311yescharacteristic
499#394C2×D311yescharacteristic, complemented
500#393—31no—
501#393—31no—
502#393—31no—
503#393—31no—
504#393—31no—
505#393—31no—
506#393—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392C2×D311yescharacteristic
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#389—31no—
525#389—31no—
526#389—31no—
527#389—31no—
528#389—31no—
529#389—31no—
530#389—31no—
531#389—31no—
532#389C2×D311yescharacteristic, complemented
533#389C2×D311yescharacteristic, complemented
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#388C2×D311yescharacteristic
547#388C2×D311yescharacteristic, complemented
548#387—31no—
549#387—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385C2×D311yescharacteristic
560#385C2×D311yescharacteristic, complemented
561#385C2×D311yescharacteristic, complemented
562#382—31no—
563#382—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#379—31no—
568#379—31no—
569C4×C4⋊C4—31no—
570C4×C4⋊C4—31no—
571C4×C22⋊C4—31no—
572#376—31no—
573#376—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C24×C3C2411yescharacteristic
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C2×C3×D4—22no—
588C2×C3×D4—22no—
589C2×C3×D4—41no—
590C2×C3×D4—41no—
591C2×C3×D4—41no—
592C2×C3×D4—41no—
593C2×C3×D4—41no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4—41no—
604C22×C3×C4—41no—
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
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
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3C2×D414yes—
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C2×D12—22no—
655C2×D12—22no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12—41no—
659C2×D12—41no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×Dic6—22no—
670C2×Dic6—22no—
671C2×Dic6—22no—
672C2×Dic6—22no—
673C2×Dic6—41no—
674C2×Dic6—41no—
675C2×Dic6—41no—
676C2×Dic6—41no—
677C2×Dic6—41no—
678C2×Dic6—41no—
679C2×Dic6—41no—
680C2×Dic6—41no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4—22no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—41no—
686C3×C4⋊C4—41no—
687C3×C4⋊C4—41no—
688C3×C4⋊C4—41no—
689C3×C4⋊C4—41no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—41no—
697C3×C22⋊C4—41no—
698C3×C22⋊C4—41no—
699C3×C22⋊C4—41no—
700C3×C22⋊C4—41no—
701C3×C22⋊C4C2×D414yes—
702C3×C42—22no—
703C3×C42—22no—
704#217—22no—
705#217—22no—
706#217—22no—
707#217—22no—
708#217—22no—
709#217—22no—
710#217—22no—
711#217—22no—
712#217—22no—
713#217—41no—
714#217—41no—
715#217—41no—
716#217—41no—
717#217—41no—
718#217C2×D414yes—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
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—41no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4—41no—
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—
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—22no—
751C4⋊Dic3—22no—
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—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4—41no—
773Dic3⋊C4C2×D414yes—
774Dic3⋊C4C2×D414yes—
775C4×Dic3—22no—
776C4×Dic3—22no—
777C4×Dic3—22no—
778C4×Dic3—22no—
779C4×Dic3—22no—
780C4×Dic3—41no—
781C4×Dic3—41no—
782C4×Dic3C2×D414yes—
783C4×Dic3C2×D414yes—
784C25—31no—
785C22×Q8—31no—
786C22×Q8—31no—
787C22×Q8—31no—
788C22×Q8—31no—
789C22×D4—31no—
790C22×D4—31no—
791C22×D4—31no—
792C22×D4—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4C22×D311yescharacteristic
799C22×D4C22×D311yescharacteristic
800C22×D4C22×D311yescharacteristic
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4C22×D311yescharacteristic
806C23×C4C22×D311yescharacteristic
807C23×C4C22×D311yescharacteristic
808C4⋊Q8—64no—
809C4⋊Q8—122no—
810C4⋊Q8—122no—
811#126—64no—
812#126—64no—
813#126—64no—
814#126—64no—
815#124—64no—
816#124—64no—
817#124—64no—
818#124—64no—
819#124—122no—
820#124—122no—
821#123—24no—
822#123—42no—
823#123—64no—
824#123—64no—
825#123—64no—
826#123—64no—
827#123—122no—
828C22⋊Q8—64no—
829C22⋊Q8—64no—
830C22⋊Q8—64no—
831C22⋊Q8—64no—
832C22⋊Q8—64no—
833#121—64no—
834#120—64no—
835#120—122no—
836#120—122no—
837C4×Q8—64no—
838C4×D4—24no—
839C4×D4—42no—
840C4×D4—64no—
841C4×D4—64no—
842C4×D4—122no—
843C4×D4—122no—
844C4×D4—122no—
845#117—38no—
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—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4C22×D311yescharacteristic
875C2×C4⋊C4C22×D311yescharacteristic
876C2×C4⋊C4C22×D311yescharacteristic
877C2×C4⋊C4C22×D311yescharacteristic
878C2×C4⋊C4C22×D311yescharacteristic
879C2×C4⋊C4C22×D311yescharacteristic
880C2×C4⋊C4C22×D311yescharacteristic
881C2×C4⋊C4C22×D311yescharacteristic
882C2×C4⋊C4C22×D311yescharacteristic
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—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—64no—
928C2×C22⋊C4—64no—
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×C22⋊C4C22×D311yescharacteristic
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C42—31no—
942C2×C42—31no—
943C2×C42—31no—
944C2×C42—31no—
945C2×C42—31no—
946C2×C42—31no—
947C2×C42—31no—
948C2×C42—31no—
949C2×C42—31no—
950C2×C42C22×D311yescharacteristic
951C2×C42C22×D311yescharacteristic
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980C23×C3—21no—
981C23×C3—21no—
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×C3C22×D412yes—
1001C23×C3C2511yescharacteristic
1002C22×D3—21no—
1003C22×D3—21no—
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—44no—
1023C22×D3—44no—
1024C22×D3—82no—
1025C22×D3—82no—
1026C22×D3—82no—
1027C22×D3—82no—
1028C22×D3—82no—
1029C22×D32−1+412yes—
1030C3×D4—44no—
1031C3×D4—44no—
1032C3×D4—82no—
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—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—82no—
1067C2×C3×C4—82no—
1068C2×C3×C4—82no—
1069C2×C3×C4C22×D412yes—
1070C2×C3×C4C22×D412yes—
1071C2×C3×C4H(5,𝔽2)12yes—
1072#67—44no—
1073#67—44no—
1074#67—44no—
1075#67—44no—
1076#67—82no—
1077#67—82no—
1078#67—82no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—44no—
1114C2×Dic3C22×D412yes—
1115C2×Dic3C22×D412yes—
1116C2×Dic3C22×D412yes—
1117C2×Dic3C22×D412yes—
1118C2×Dic3H(5,𝔽2)12yes—
1119D12—44no—
1120D12—82no—
1121C4×D3—44no—
1122C4×D3—82no—
1123C4×D3—82no—
1124Dic6—44no—
1125Dic6—82no—
1126Dic6—82no—
1127Dic6—82no—
1128C24—31no—
1129C24—31no—
1130C24—31no—
1131C24—62no—
1132C24—62no—
1133C24—121no—
1134C24—121no—
1135C24—121no—
1136C24—121no—
1137C24—121no—
1138C24C23×D311yescharacteristic
1139C24C23×D311yescharacteristic
1140C24C23×D311yescharacteristic
1141C2×Q8—62no—
1142C2×Q8—62no—
1143C2×Q8—62no—
1144C2×Q8—62no—
1145C2×Q8—121no—
1146C2×Q8—121no—
1147C2×Q8—121no—
1148C2×Q8—121no—
1149C2×Q8—121no—
1150C2×Q8—121no—
1151C2×Q8—121no—
1152C2×Q8—121no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—62no—
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—121no—
1172C2×D4—121no—
1173C2×D4—121no—
1174C2×D4—121no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C2×D4—121no—
1178C2×D4—121no—
1179C2×D4—121no—
1180C2×D4—121no—
1181C2×D4—121no—
1182C2×D4—121no—
1183C2×D4—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—34no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—121no—
1217C22×C4—121no—
1218C22×C4—121no—
1219C22×C4—121no—
1220C22×C4—121no—
1221C22×C4—121no—
1222C22×C4—121no—
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C22×C4C23×D311yescharacteristic
1226C22×C4C23×D311yescharacteristic
1227C22×C4C23×D311yescharacteristic
1228C22×C4C23×D311yescharacteristic
1229C22×C4C23×D311yescharacteristic
1230C22×C4C23×D311yescharacteristic
1231C22×C4C23×D311yescharacteristic
1232C22×C4C23×D311yescharacteristic
1233C22×C4C23×D311yescharacteristic
1234C22×C4C23×D311yescharacteristic
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—34no—
1240C4⋊C4—34no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—62no—
1250C4⋊C4—62no—
1251C4⋊C4—62no—
1252C4⋊C4—62no—
1253C4⋊C4—62no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—121no—
1261C4⋊C4—121no—
1262C4⋊C4—121no—
1263C4⋊C4—121no—
1264C4⋊C4—121no—
1265C4⋊C4—121no—
1266C4⋊C4—121no—
1267C4⋊C4—121no—
1268C4⋊C4—121no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—34no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
1295C22⋊C4—62no—
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—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C22⋊C4—121no—
1312C22⋊C4—121no—
1313C22⋊C4—121no—
1314C22⋊C4—121no—
1315C22⋊C4—121no—
1316C22⋊C4—121no—
1317C22⋊C4—121no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4D3×D414yes—
1327C42—22no—
1328C42—22no—
1329C42—34no—
1330C42—34no—
1331C42—62no—
1332C42—62no—
1333C42—62no—
1334C42—62no—
1335C42—62no—
1336C42—121no—
1337C42—121no—
1338C22×C3—22no—
1339C22×C3—22no—
1340C22×C3—22no—
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×C3—41no—
1356C22×C3—41no—
1357C22×C3—41no—
1358C22×C3—41no—
1359C22×C3C23×D411yescharacteristic
1360C22×C3C2×H(5,𝔽2)11yescharacteristic
1361C22×C3C2×H(5,𝔽2)11yescharacteristic
1362C22×C3C2×2−1+411yescharacteristic
1363C22×C3#58511yescharacteristic
1364C22×C3#58511yescharacteristic
1365C22×C3#58511yescharacteristic
1366C2×D3—22no—
1367C2×D3—22no—
1368C2×D3—22no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—41no—
1374C2×D3—41no—
1375C2×D3—41no—
1376C2×D3—41no—
1377C2×D3—41no—
1378C2×D3—41no—
1379C2×D3—41no—
1380C2×D3—41no—
1381C2×D3—41no—
1382C2×D3—41no—
1383C2×D3—41no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—88no—
1388C3×C4—22no—
1389C3×C4—22no—
1390C3×C4—22no—
1391C3×C4—41no—
1392C3×C4—41no—
1393C3×C4—41no—
1394C3×C4—41no—
1395C3×C4—41no—
1396C3×C4—41no—
1397C3×C4—41no—
1398C3×C4—41no—
1399C3×C4—41no—
1400Dic3—22no—
1401Dic3—22no—
1402Dic3—22no—
1403Dic3—22no—
1404Dic3—22no—
1405Dic3—41no—
1406Dic3—41no—
1407Dic3—41no—
1408Dic3—41no—
1409Dic3—41no—
1410Dic3—41no—
1411Dic3—41no—
1412Dic3—41no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—32no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—61no—
1440C23—61no—
1441C23—61no—
1442C23—61no—
1443C23—61no—
1444C23—61no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—124no—
1455C23—124no—
1456C23—242no—
1457C23—242no—
1458C23—242no—
1459C23—242no—
1460C23—242no—
1461C23C2×D3×D412yes—
1462C23C24×D311yescharacteristic
1463Q8—124no—
1464Q8—242no—
1465Q8—242no—
1466Q8—242no—
1467D4—44no—
1468D4—44no—
1469D4—82no—
1470D4—124no—
1471D4—124no—
1472D4—124no—
1473D4—124no—
1474D4—124no—
1475D4—242no—
1476D4—242no—
1477D4—242no—
1478D4—242no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—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—32no—
1513C2×C4—32no—
1514C2×C4—32no—
1515C2×C4—32no—
1516C2×C4—32no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—82no—
1552C2×C4—82no—
1553C2×C4—82no—
1554C2×C4—124no—
1555C2×C4—124no—
1556C2×C4—242no—
1557C2×C4—242no—
1558C2×C4C2×D3×D412yes—
1559C2×C4C2×D3×D412yes—
1560C2×C4#100412yes—
1561C2×C3—42no—
1562C2×C3—81no—
1563C2×C3—81no—
1564C2×C3#344911yescharacteristic
1565C2×C3#348911yescharacteristic
1566C2×C3#349811yescharacteristic
1567C2×C3#353511yescharacteristic
1568C2×C3#353511yescharacteristic
1569C2×C3#354011yescharacteristic
1570C2×C3#354011yescharacteristic
1571D3—42no—
1572D3—81no—
1573D3—81no—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—62no—
1596C22—62no—
1597C22—62no—
1598C22—121no—
1599C22—121no—
1600C22—121no—
1601C22—121no—
1602C22—121no—
1603C22—121no—
1604C22—121no—
1605C22—121no—
1606C22—121no—
1607C22—121no—
1608C22—121no—
1609C22—121no—
1610C22—121no—
1611C22—121no—
1612C22—121no—
1613C22—121no—
1614C22—121no—
1615C22—121no—
1616C22—248no—
1617C22C22×D3×D411yescharacteristic
1618C22C2×#100411yescharacteristic
1619C22#596411yescharacteristic
1620C22#596411yescharacteristic
1621C22#596411yescharacteristic
1622C22D3×H(5,𝔽2)11yescharacteristic
1623C22D3×2−1+411yescharacteristic
1624C4—22no—
1625C4—22no—
1626C4—22no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—62no—
1637C4—62no—
1638C4—62no—
1639C4—62no—
1640C4—62no—
1641C4—121no—
1642C4—121no—
1643C4—121no—
1644C4—121no—
1645C4—121no—
1646C4—121no—
1647C4—121no—
1648C4—121no—
1649C3#4196011yescharacteristic, complemented, Sylow
1650C2—42no—
1651C2—81no—
1652C2—81no—
1653C2—122no—
1654C2—241no—
1655C2—241no—
1656C2#8603211yescharacteristic
1657C2#8603511yescharacteristic
1658C2#8646211yescharacteristic
1659C2#8660811yescharacteristic
1660C2#8667711yescharacteristic
1661C2#8668911yescharacteristic
1662C2#8705711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2455C2
hypercenter#2455D3
hypocenterC3#41960
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2455

Complements

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

NH ≅ G/Ntype
1. C2×#5662C2semidirect
2. C2×#5556C2semidirect
3. C3×#2455C2semidirect
4. #82901C2semidirect
5. #82896C2semidirect
6. #82870C2semidirect
7. #82410C2semidirect
8. #82367C2semidirect
9. #82347C2semidirect
10. #78065C2semidirect
11. #78057C2semidirect
12. #77129C2semidirect
13. #77087C2semidirect
14. #77024C2semidirect
15. #76998C2semidirect
16. #76766C2semidirect
17. #76741C2semidirect
18. #76250C2semidirect
19. #76130C2semidirect
20. #76097C2semidirect
21. #76010C2semidirect
22. #75900C2semidirect
23. #75844C2semidirect
24. #75704C2semidirect
25. #75473C2semidirect
26. #74623C2semidirect
27. #74621C2semidirect
28. #74508C2semidirect
29. #74487C2semidirect
30. #74431C2semidirect
31. #74425C2semidirect
36. C2×C3×C4×D4C22semidirect
46. C2×C4×#67C22semidirect
47. C2×C4×#67C22semidirect
50. C2×#924C22semidirect
54. C2×#898C22semidirect
56. C2×#896C22semidirect
57. C2×#888C22semidirect
58. C2×#888C22semidirect
59. C2×#888C22semidirect
60. C2×#887C22semidirect
65. C2×#885C22semidirect
70. C2×#879C22semidirect
76. C3×#399C22semidirect
78. C3×#394C22semidirect
80. C3×#389C22semidirect
81. C3×#389C22semidirect
83. C3×#388C22semidirect
85. C3×#385C22semidirect
86. C3×#385C22semidirect
90. #5223C22semidirect
93. #5222C22semidirect
96. #5210C22semidirect
99. #4994C22semidirect
105. #4993C22semidirect
110. #4989C22semidirect
116. #4980C22semidirect
117. #4979C22semidirect
118. #4979C22semidirect
119. #4979C22semidirect
120. #4977C22semidirect
121. #4976C22semidirect
122. #4976C22semidirect
123. #4976C22semidirect
124. #4972C22semidirect
127. #4961C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
146. #4951C22semidirect
147. #4949C22semidirect
148. #4949C22semidirect
149. #4949C22semidirect
150. #4949C22semidirect
151. #4948C22semidirect
152. #4948C22semidirect
153. #4947C22semidirect
154. #4947C22semidirect
157. #4944C22semidirect
158. #4944C22semidirect
162. #4940C22semidirect
163. #4932C22semidirect
164. C4×Dic3⋊C4C22semidirect
165. #4928C22semidirect
169. #4676C22semidirect
174. #4673C22semidirect
177. #4669C22semidirect
181. #4658C22semidirect
182. #4658C22semidirect
183. #4655C22semidirect
184. #4650C22semidirect
185. #4649C22semidirect
186. #4648C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
214. #2455D3semidirect
385. #877D4semidirect
455. C2×C4×D4C2×D3semidirect
473. #399C2×D3semidirect
499. #394C2×D3semidirect
532. #389C2×D3semidirect
533. #389C2×D3semidirect
547. #388C2×D3semidirect
560. #385C2×D3semidirect
561. #385C2×D3semidirect
1649. C3#41960semidirect

Maximal subgroups

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

subgroupindex
C2×#56622
C2×#55562
C3×#24552
#829012
#828962
#828702
#824102
#823672
#823472
#780652
#780572
#771292
#770872
#770242
#769982
#767662
#767412
#762502
#761302
#760972
#760102
#759002
#758442
#757042
#754732
#746232
#746212
#745082
#744872
#744312
#744252
#419603