Finite Group Databasebeta

← #11141493

Subgroups — #11141493

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×#5669C211yesmaximal, characteristic, complemented
2C2×#5637C211yesmaximal, characteristic, complemented
3C3×#2674C211yesmaximal, characteristic, complemented
4#83264C211yesmaximal, characteristic, complemented
5#83236C211yesmaximal, characteristic, complemented
6#83003C211yesmaximal, characteristic, complemented
7#82901C211yesmaximal, characteristic, complemented
8#82898C211yesmaximal, characteristic, complemented
9#82790C211yesmaximal, characteristic, complemented
10#78072C211yesmaximal, characteristic, complemented
11#78019C211yesmaximal, characteristic, complemented
12#77669C211yesmaximal, characteristic, complemented
13#77565C211yesmaximal, characteristic, complemented
14#77353C211yesmaximal, characteristic, complemented
15#77335C211yesmaximal, characteristic, complemented
16#77202C211yesmaximal, characteristic, complemented
17#77176C211yesmaximal, characteristic, complemented
18#77159C211yesmaximal, characteristic, complemented
19#77111C211yesmaximal, characteristic, complemented
20#76885C211yesmaximal, characteristic, complemented
21#76783C211yesmaximal, characteristic, complemented
22#76130C211yesmaximal, characteristic, complemented
23#76075C211yesmaximal, characteristic, complemented
24#75913C211yesmaximal, characteristic, complemented
25#75650C211yesmaximal, characteristic, complemented
26#75511C211yesmaximal, characteristic, complemented
27#75473C211yesmaximal, characteristic, complemented
28#75153C211yesmaximal, characteristic, complemented
29#75126C211yesmaximal, characteristic, complemented
30#74621C211yesmaximal, characteristic, complemented
31#74611C211yesmaximal, characteristic, complemented
32#41960—31nomaximal, Sylow
33C2×C3×C4⋊Q8C2211yescharacteristic, complemented
34C2×C3×#124C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic
37C2×#947C2211yescharacteristic
38C2×#947C2211yescharacteristic
39C2×#946C2211yescharacteristic
40C2×#946C2211yescharacteristic, complemented
41C2×#944C2211yescharacteristic, complemented
42C2×#944C2211yescharacteristic, complemented
43C2×#939C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#935C2211yescharacteristic
46C2×#929C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic
48C22×(C2×D3)⋊C4C2211yescharacteristic
49#5669—28no—
50#5637—28no—
51C2×#898C2211yescharacteristic
52C2×#898C2211yescharacteristic
53C2×#894C2211yescharacteristic
54C2×#894C2211yescharacteristic
55C2×#893C2211yescharacteristic
56C2×#893C2211yescharacteristic
57C2×#893C2211yescharacteristic, complemented
58C2×#892C2211yescharacteristic
59C2×#886C2211yescharacteristic
60C2×#885C2211yescharacteristic
61C2×#885C2211yescharacteristic, complemented
62C2×#883C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#67⋊C4C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic, complemented
67C2×#67⋊C4C2211yescharacteristic, complemented
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×#879C2211yescharacteristic, complemented
70C2×#878C2211yescharacteristic
71C2×#878C2211yescharacteristic, complemented
72C2×#877C2211yescharacteristic
73C2×#876C2211yescharacteristic, complemented
74C2×#875C2211yescharacteristic
75C2×C4×Dic6C2211yescharacteristic, complemented
76C3×#399C2211yescharacteristic, complemented
77C3×#397C2211yescharacteristic
78C3×#396C2211yescharacteristic, complemented
79C3×#395C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic
81C3×#393C2211yescharacteristic, complemented
82C3×#389C2211yescharacteristic, complemented
83C3×#388C2211yescharacteristic
84C3×#388C2211yescharacteristic, complemented
85C3×#387C2211yescharacteristic, complemented
86C3×#385C2211yescharacteristic
87#5231C2211yescharacteristic
88#5231C2211yescharacteristic, complemented
89#5223C2211yescharacteristic
90#5210C2211yescharacteristic
91#4994C2211yescharacteristic
92#4994C2211yescharacteristic
93#4994C2211yescharacteristic, complemented
94#4994C2211yescharacteristic, complemented
95#4993C2211yescharacteristic
96#4993C2211yescharacteristic
97#4993C2211yescharacteristic
98#4993C2211yescharacteristic
99#4993C2211yescharacteristic
100#4993C2211yescharacteristic
101#4993C2211yescharacteristic, complemented
102#4993C2211yescharacteristic, complemented
103#4993C2211yescharacteristic, complemented
104#4993C2211yescharacteristic, complemented
105#4993C2211yescharacteristic, complemented
106#4991C2211yescharacteristic
107#4990C2211yescharacteristic, complemented
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4988C2211yescharacteristic
112#4988C2211yescharacteristic
113#4988C2211yescharacteristic
114#4984C2211yescharacteristic, complemented
115#4979C2211yescharacteristic, complemented
116#4978C2211yescharacteristic, complemented
117#4977C2211yescharacteristic, complemented
118#4976C2211yescharacteristic, complemented
119#4976C2211yescharacteristic, complemented
120#4976C2211yescharacteristic, complemented
121#4972C2211yescharacteristic, complemented
122#4972C2211yescharacteristic, complemented
123#4961C2211yescharacteristic
124#4961C2211yescharacteristic
125#4961C2211yescharacteristic, complemented
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic
129#4960C2211yescharacteristic
130#4960C2211yescharacteristic
131#4960C2211yescharacteristic, complemented
132#4959C2211yescharacteristic
133#4959C2211yescharacteristic
134#4959C2211yescharacteristic
135#4959C2211yescharacteristic, complemented
136#4959C2211yescharacteristic, complemented
137#4958C2211yescharacteristic
138#4957C2211yescharacteristic
139#4957C2211yescharacteristic
140#4957C2211yescharacteristic
141#4956C2211yescharacteristic
142#4955C2211yescharacteristic
143#4955C2211yescharacteristic
144#4952C2211yescharacteristic
145#4951C2211yescharacteristic
146#4951C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4946C2211yescharacteristic, complemented
149#4945C2211yescharacteristic
150#4944C2211yescharacteristic
151#4942C2211yescharacteristic
152Dic3×C22⋊C4C2211yescharacteristic
153#4940C2211yescharacteristic
154#4939C2211yescharacteristic
155#4939C2211yescharacteristic
156#4932C2211yescharacteristic, complemented
157C4×Dic3⋊C4C2211yescharacteristic, complemented
158#4676C2211yescharacteristic
159#4676C2211yescharacteristic
160#4673C2211yescharacteristic
161#4673C2211yescharacteristic
162#4673C2211yescharacteristic
163#4673C2211yescharacteristic, complemented
164#4672C2211yescharacteristic
165#4672C2211yescharacteristic, complemented
166#4672C2211yescharacteristic, complemented
167#4671C2211yescharacteristic
168#4671C2211yescharacteristic
169#4670C2211yescharacteristic
170#4670C2211yescharacteristic
171#4670C2211yescharacteristic, complemented
172#4669C2211yescharacteristic
173#4669C2211yescharacteristic, complemented
174#4669C2211yescharacteristic, complemented
175#4668C2211yescharacteristic
176#4668C2211yescharacteristic, complemented
177#4667C2211yescharacteristic
178#4667C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4660C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, 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#2674D311yescharacteristic, complemented
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#2455—31no—
215#2452—31no—
216#2452—31no—
217#2418—31no—
218#2418—31no—
219#2397—31no—
220#2346—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×Dic6C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C3×C4⋊Q8—42no—
246C3×#124—24no—
247C3×#123—42no—
248C3×C22⋊Q8—24no—
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×C4⋊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
279#947—24no—
280#947—42no—
281#946—24no—
282#946—24no—
283#944—24no—
284#944—42no—
285#939—24no—
286#937—42no—
287#935—24no—
288#929—42no—
289C4×#67—24no—
290C2×(C2×D3)⋊C4—24no—
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
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×(C2×D3)⋊C4C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364#898—24no—
365#898—24no—
366#894—24no—
367#894—24no—
368#893—24no—
369#893—42no—
370#893—42no—
371#892—24no—
372#886—24no—
373#885—24no—
374#885—24no—
375#883—24no—
376#882—24no—
377#882—42no—
378#67⋊C4—24no—
379#67⋊C4—42no—
380#67⋊C4—42no—
381D3×C22⋊C4—24no—
382#879—24no—
383#878—24no—
384#878—24no—
385#877D418yescomplemented
386#876—24no—
387#875—42no—
388C4×Dic6—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⋊Q8C2×D311yescharacteristic, complemented
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×#124C2×D311yescharacteristic
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123C2×D311yescharacteristic
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8C2×D311yescharacteristic
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×D4—31no—
455C2×C4×D4—31no—
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#397C2×D311yescharacteristic
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396C2×D311yescharacteristic, complemented
484#395—31no—
485#395—31no—
486#395C2×D311yescharacteristic, complemented
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#394C2×D311yescharacteristic
500#393—31no—
501#393—31no—
502#393—31no—
503#393—31no—
504#393—31no—
505#393—31no—
506#393C2×D311yescharacteristic, complemented
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#392—31no—
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#389—31no—
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#387C2×D311yescharacteristic, complemented
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#385—31no—
560#385—31no—
561#385C2×D311yescharacteristic
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
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C2×C3×Q8—22no—
588C2×C3×Q8—22no—
589C2×C3×Q8—41no—
590C2×C3×Q8—41no—
591C2×C3×Q8—41no—
592C2×C3×Q8—41no—
593C2×C3×D4—22no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C22×C3×C4—22no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—41no—
618C2×#67—41no—
619C2×#67—41no—
620C2×#67—41no—
621C2×#67—41no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C22×Dic3—22no—
631C22×Dic3—41no—
632C22×Dic3—41no—
633C22×Dic3—41no—
634C22×Dic3—41no—
635C22×Dic3C2×D414yes—
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—22no—
651C2×D12—22no—
652C2×D12—22no—
653C2×D12—41no—
654C2×D12—41no—
655C2×D12—41no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12—41no—
659C2×D12—41no—
660C2×D12—41no—
661C2×D12—41no—
662C2×D12—41no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×Dic6—22no—
676C2×Dic6—22no—
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—22no—
686C3×C4⋊C4—41no—
687C3×C4⋊C4—41no—
688C3×C4⋊C4—41no—
689C3×C4⋊C4—41no—
690C3×C4⋊C4—41no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—22no—
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—41no—
709#217—41no—
710#217C2×D414yes—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
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—41no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4—41no—
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—
748(C2×D3)⋊C4—41no—
749C4⋊Dic3—22no—
750C4⋊Dic3—22no—
751C4⋊Dic3—22no—
752C4⋊Dic3—22no—
753C4⋊Dic3—41no—
754C4⋊Dic3—41no—
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×Q8C22×D311yescharacteristic
788C22×Q8C22×D311yescharacteristic
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×D4—31no—
799C22×D4—31no—
800C22×D4C22×D311yescharacteristic
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—31no—
807C23×C4C22×D311yescharacteristic
808C4⋊Q8—42no—
809C4⋊Q8—64no—
810C4⋊Q8—122no—
811#126—64no—
812#126—64no—
813#126—64no—
814#126—64no—
815#124—24no—
816#124—64no—
817#124—64no—
818#124—64no—
819#124—122no—
820#124—122no—
821#123—42no—
822#123—64no—
823#123—64no—
824#123—64no—
825#123—64no—
826#123—64no—
827#123—122no—
828C22⋊Q8—24no—
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—64no—
839C4×D4—64no—
840C4×D4—64no—
841C4×D4—122no—
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⋊C4C22×D311yescharacteristic
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—31no—
928C2×C22⋊C4—64no—
929C2×C22⋊C4—64no—
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#95C22×D311yescharacteristic
973#95C22×D311yescharacteristic
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×C3C22×D412yes—
994C23×C3C2511yescharacteristic
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
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×Q8—82no—
1031C3×Q8—82no—
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—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—82no—
1070C2×C3×C4C22×D412yes—
1071C2×C3×C4C22×D412yes—
1072C2×C3×C4H(5,𝔽2)12yes—
1073#67—44no—
1074#67—44no—
1075#67—44no—
1076#67—44no—
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—44no—
1111C2×Dic3—82no—
1112C2×Dic3C22×D412yes—
1113C2×Dic3C22×D412yes—
1114C2×Dic3C22×D412yes—
1115C2×Dic3C22×D412yes—
1116C2×Dic3H(5,𝔽2)12yes—
1117D12—44no—
1118D12—44no—
1119D12—44no—
1120D12—82no—
1121D12—82no—
1122C4×D3—44no—
1123C4×D3—82no—
1124C4×D3—82no—
1125C4×D3—82no—
1126Dic6—44no—
1127Dic6—82no—
1128C24—31no—
1129C24—31no—
1130C24—31no—
1131C24—31no—
1132C24—62no—
1133C24—62no—
1134C24—121no—
1135C24—121no—
1136C24—121no—
1137C24—121no—
1138C24—121no—
1139C24C23×D311yescharacteristic
1140C24C23×D311yescharacteristic
1141C2×Q8—22no—
1142C2×Q8—22no—
1143C2×Q8—41no—
1144C2×Q8—41no—
1145C2×Q8—41no—
1146C2×Q8—41no—
1147C2×Q8—62no—
1148C2×Q8—62no—
1149C2×Q8—121no—
1150C2×Q8—121no—
1151C2×Q8—121no—
1152C2×Q8—121no—
1153C2×D4—22no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—62no—
1157C2×D4—62no—
1158C2×D4—62no—
1159C2×D4—62no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—121no—
1167C2×D4—121no—
1168C2×D4—121no—
1169C2×D4—121no—
1170C2×D4—121no—
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—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—34no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—62no—
1206C22×C4—62no—
1207C22×C4—62no—
1208C22×C4—62no—
1209C22×C4—62no—
1210C22×C4—62no—
1211C22×C4—121no—
1212C22×C4—121no—
1213C22×C4—121no—
1214C22×C4—121no—
1215C22×C4—121no—
1216C22×C4—121no—
1217C22×C4—121no—
1218C22×C4—121no—
1219C22×C4—121no—
1220C22×C4—121no—
1221C22×C4—121no—
1222C22×C4C23×D311yescharacteristic
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—22no—
1240C4⋊C4—34no—
1241C4⋊C4—34no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
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—62no—
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—121no—
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×C3C23×D411yescharacteristic
1353C22×C3C2×H(5,𝔽2)11yescharacteristic
1354C22×C3C2×H(5,𝔽2)11yescharacteristic
1355C22×C3C2×2−1+411yescharacteristic
1356C22×C3#58511yescharacteristic
1357C22×C3#58511yescharacteristic
1358C22×C3#58511yescharacteristic
1359C2×D3—22no—
1360C2×D3—22no—
1361C2×D3—22no—
1362C2×D3—41no—
1363C2×D3—41no—
1364C2×D3—41no—
1365C2×D3—41no—
1366C2×D3—41no—
1367C2×D3—41no—
1368C2×D3—41no—
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—
1400C3×C4—41no—
1401Dic3—22no—
1402Dic3—22no—
1403Dic3—22no—
1404Dic3—22no—
1405Dic3—22no—
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—32no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
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—82no—
1464Q8—82no—
1465Q8—124no—
1466Q8—242no—
1467D4—82no—
1468D4—124no—
1469D4—124no—
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—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—32no—
1516C2×C4—32no—
1517C2×C4—32no—
1518C2×C4—32no—
1519C2×C4—32no—
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—124no—
1553C2×C4—124no—
1554C2×C4—242no—
1555C2×C4—242no—
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#344911yescharacteristic
1564C2×C3#348911yescharacteristic
1565C2×C3#349811yescharacteristic
1566C2×C3#353511yescharacteristic
1567C2×C3#353511yescharacteristic
1568C2×C3#354011yescharacteristic
1569C2×C3#354011yescharacteristic
1570D3—42no—
1571D3—81no—
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—62no—
1589C22—62no—
1590C22—62no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22—121no—
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
1620C22D3×H(5,𝔽2)11yescharacteristic
1621C22D3×2−1+411yescharacteristic
1622C22#596811yescharacteristic
1623C22#596811yescharacteristic
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—41no—
1637C4—62no—
1638C4—62no—
1639C4—62no—
1640C4—62no—
1641C4—62no—
1642C4—121no—
1643C4—121no—
1644C4—121no—
1645C4—121no—
1646C4—121no—
1647C4—121no—
1648C4—121no—
1649C3#4196011yescharacteristic, complemented, Sylow
1650C2—42no—
1651C2—81no—
1652C2—122no—
1653C2—241no—
1654C2—241no—
1655C2—241no—
1656C2#8633811yescharacteristic
1657C2#8635811yescharacteristic
1658C2#8653011yescharacteristic
1659C2#8660811yescharacteristic
1660C2#8667711yescharacteristic
1661C2#8674011yescharacteristic
1662C2#8712911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2674C2
hypercenter#2674D3
hypocenterC3#41960
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2674

Complements

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

NH ≅ G/Ntype
1. C2×#5669C2semidirect
2. C2×#5637C2semidirect
3. C3×#2674C2semidirect
4. #83264C2semidirect
5. #83236C2semidirect
6. #83003C2semidirect
7. #82901C2semidirect
8. #82898C2semidirect
9. #82790C2semidirect
10. #78072C2semidirect
11. #78019C2semidirect
12. #77669C2semidirect
13. #77565C2semidirect
14. #77353C2semidirect
15. #77335C2semidirect
16. #77202C2semidirect
17. #77176C2semidirect
18. #77159C2semidirect
19. #77111C2semidirect
20. #76885C2semidirect
21. #76783C2semidirect
22. #76130C2semidirect
23. #76075C2semidirect
24. #75913C2semidirect
25. #75650C2semidirect
26. #75511C2semidirect
27. #75473C2semidirect
28. #75153C2semidirect
29. #75126C2semidirect
30. #74621C2semidirect
31. #74611C2semidirect
33. C2×C3×C4⋊Q8C22semidirect
40. C2×#946C22semidirect
41. C2×#944C22semidirect
42. C2×#944C22semidirect
57. C2×#893C22semidirect
61. C2×#885C22semidirect
66. C2×#67⋊C4C22semidirect
67. C2×#67⋊C4C22semidirect
69. C2×#879C22semidirect
71. C2×#878C22semidirect
73. C2×#876C22semidirect
75. C2×C4×Dic6C22semidirect
76. C3×#399C22semidirect
78. C3×#396C22semidirect
79. C3×#395C22semidirect
81. C3×#393C22semidirect
82. C3×#389C22semidirect
84. C3×#388C22semidirect
85. C3×#387C22semidirect
88. #5231C22semidirect
93. #4994C22semidirect
94. #4994C22semidirect
101. #4993C22semidirect
102. #4993C22semidirect
103. #4993C22semidirect
104. #4993C22semidirect
105. #4993C22semidirect
107. #4990C22semidirect
109. #4989C22semidirect
110. #4989C22semidirect
114. #4984C22semidirect
115. #4979C22semidirect
116. #4978C22semidirect
117. #4977C22semidirect
118. #4976C22semidirect
119. #4976C22semidirect
120. #4976C22semidirect
121. #4972C22semidirect
122. #4972C22semidirect
125. #4961C22semidirect
131. #4960C22semidirect
135. #4959C22semidirect
136. #4959C22semidirect
146. #4951C22semidirect
147. #4948C22semidirect
148. #4946C22semidirect
156. #4932C22semidirect
157. C4×Dic3⋊C4C22semidirect
163. #4673C22semidirect
165. #4672C22semidirect
166. #4672C22semidirect
171. #4670C22semidirect
173. #4669C22semidirect
174. #4669C22semidirect
176. #4668C22semidirect
181. #4660C22semidirect
182. #4660C22semidirect
183. #4656C22semidirect
184. #4650C22semidirect
185. #4649C22semidirect
186. #4648C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
199. #2674D3semidirect
385. #877D4semidirect
421. C2×C4⋊Q8C2×D3semidirect
473. #399C2×D3semidirect
483. #396C2×D3semidirect
486. #395C2×D3semidirect
506. #393C2×D3semidirect
533. #389C2×D3semidirect
547. #388C2×D3semidirect
549. #387C2×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×#56692
C2×#56372
C3×#26742
#832642
#832362
#830032
#829012
#828982
#827902
#780722
#780192
#776692
#775652
#773532
#773352
#772022
#771762
#771592
#771112
#768852
#767832
#761302
#760752
#759132
#756502
#755112
#754732
#751532
#751262
#746212
#746112
#419603