Finite Group Databasebeta

← #11024614

Subgroups — #11024614

Order 768.

3064 conjugacy classes of subgroups.

The subgroup lattice has 1826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5726C211yesmaximal, characteristic, complemented
2C2×#5725C211yesmaximal, characteristic, complemented
3C2×#5631C211yesmaximal, characteristic, complemented
4C2×#5629C211yesmaximal, characteristic, complemented
5C3×#2677C211yesmaximal, characteristic, complemented
6#83266C211yesmaximal, characteristic, complemented
7#83265C211yesmaximal, characteristic, complemented
8#82827C211yesmaximal, characteristic, complemented
9#82818C211yesmaximal, characteristic, complemented
10#78111C211yesmaximal, characteristic, complemented
11#78103C211yesmaximal, characteristic, complemented
12#77962C211yesmaximal, characteristic, complemented
13#77957C211yesmaximal, characteristic, complemented
14#77952C211yesmaximal, characteristic, complemented
15#77951C211yesmaximal, characteristic, complemented
16#77260C211yesmaximal, characteristic, complemented
17#77252C211yesmaximal, characteristic, complemented
18#77250C211yesmaximal, characteristic, complemented
19#77250C211yesmaximal, characteristic, complemented
20#76864C211yesmaximal, characteristic, complemented
21#76822C211yesmaximal, characteristic, complemented
22#75960C211yesmaximal, characteristic, complemented
23#75914C211yesmaximal, characteristic, complemented
24#75882C211yesmaximal, characteristic, complemented
25#75504C211yesmaximal, characteristic, complemented
26#75387C211yesmaximal, characteristic, complemented
27#75327C211yesmaximal, characteristic, complemented
28#75298C211yesmaximal, characteristic, complemented
29D3×#387C211yesmaximal, characteristic, complemented
30#74606C211yesmaximal, characteristic, complemented
31#74427C211yesmaximal, characteristic, complemented
32#37679—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C22×#239C2211yescharacteristic
35C22×#239C2211yescharacteristic
36C22×#235C2211yescharacteristic
37C2×C3×C4⋊Q8C2211yescharacteristic
38C2×C3×C4⋊Q8C2211yescharacteristic
39C2×C3×C22⋊Q8C2211yescharacteristic
40C2×C3×C22⋊Q8C2211yescharacteristic
41C2×#947C2211yescharacteristic
42C2×#947C2211yescharacteristic
43C2×#946C2211yescharacteristic
44C2×#946C2211yescharacteristic
45C2×#946C2211yescharacteristic
46C2×#944C2211yescharacteristic
47C2×#930C2211yescharacteristic
48C2×C4×#67C2211yescharacteristic
49#5726—28no—
50#5725—28no—
51#5631—28no—
52#5629—28no—
53C2×#897C2211yescharacteristic
54C2×#896C2211yescharacteristic
55C2×#896C2211yescharacteristic
56C2×#895C2211yescharacteristic
57C2×#895C2211yescharacteristic
58C2×#895C2211yescharacteristic
59C2×#895C2211yescharacteristic
60C2×#895C2211yescharacteristic
61C2×#895C2211yescharacteristic
62C2×#895C2211yescharacteristic
63C2×#895C2211yescharacteristic
64C2×#895C2211yescharacteristic
65C2×#894C2211yescharacteristic
66C2×#894C2211yescharacteristic
67C2×#894C2211yescharacteristic
68C2×#894C2211yescharacteristic
69C2×#894C2211yescharacteristic
70C2×#894C2211yescharacteristic
71C2×#893C2211yescharacteristic
72C2×#893C2211yescharacteristic
73C2×#893C2211yescharacteristic
74C2×#893C2211yescharacteristic
75C2×#893C2211yescharacteristic
76C2×D3×C4⋊C4C2211yescharacteristic
77C2×D3×C4⋊C4C2211yescharacteristic
78C2×D3×C4⋊C4C2211yescharacteristic
79C2×D3×C4⋊C4C2211yescharacteristic
80C2×#884C2211yescharacteristic
81C2×#884C2211yescharacteristic
82C2×#884C2211yescharacteristic
83C2×#884C2211yescharacteristic
84C2×#884C2211yescharacteristic
85C2×#884C2211yescharacteristic
86C2×#884C2211yescharacteristic
87C2×#883C2211yescharacteristic
88C2×#883C2211yescharacteristic
89C2×#874C2211yescharacteristic
90C2×C4×D12C2211yescharacteristic
91C2×C4×D12C2211yescharacteristic
92C2×C42×D3C2211yescharacteristic
93C3×#399C2211yescharacteristic
94C3×#398C2211yescharacteristic
95C3×#398C2211yescharacteristic
96C3×#395C2211yescharacteristic
97C3×#395C2211yescharacteristic
98C3×#393C2211yescharacteristic
99C3×#388C2211yescharacteristic
100C3×#388C2211yescharacteristic
101C3×#387C2211yescharacteristic
102C3×#387C2211yescharacteristic
103C3×#385C2211yescharacteristic
104#5231C2211yescharacteristic
105#5231C2211yescharacteristic
106#5230C2211yescharacteristic
107#5213C2211yescharacteristic
108#4994C2211yescharacteristic
109#4994C2211yescharacteristic
110#4993C2211yescharacteristic
111#4993C2211yescharacteristic
112#4993C2211yescharacteristic
113#4992C2211yescharacteristic
114#4991C2211yescharacteristic
115#4991C2211yescharacteristic
116#4991C2211yescharacteristic
117#4991C2211yescharacteristic
118#4990C2211yescharacteristic
119#4990C2211yescharacteristic
120#4989C2211yescharacteristic
121#4989C2211yescharacteristic
122#4989C2211yescharacteristic
123#4989C2211yescharacteristic
124#4989C2211yescharacteristic
125#4989C2211yescharacteristic
126#4983C2211yescharacteristic
127#4982C2211yescharacteristic
128#4980C2211yescharacteristic
129#4980C2211yescharacteristic
130#4979C2211yescharacteristic
131#4978C2211yescharacteristic
132#4976C2211yescharacteristic
133#4961C2211yescharacteristic
134#4960C2211yescharacteristic
135#4960C2211yescharacteristic
136#4960C2211yescharacteristic
137#4960C2211yescharacteristic
138#4960C2211yescharacteristic
139#4960C2211yescharacteristic
140#4959C2211yescharacteristic
141#4957C2211yescharacteristic
142#4957C2211yescharacteristic
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic
145#4956C2211yescharacteristic
146#4956C2211yescharacteristic
147#4944C2211yescharacteristic
148#4940C2211yescharacteristic
149#4940C2211yescharacteristic
150#4940C2211yescharacteristic
151#4933C2211yescharacteristic
152#4676C2211yescharacteristic
153#4676C2211yescharacteristic
154#4675C2211yescharacteristic
155#4673C2211yescharacteristic
156#4672C2211yescharacteristic
157#4672C2211yescharacteristic
158#4671C2211yescharacteristic
159#4671C2211yescharacteristic
160#4671C2211yescharacteristic
161#4671C2211yescharacteristic
162#4670C2211yescharacteristic
163#4669C2211yescharacteristic
164#4668C2211yescharacteristic
165#4668C2211yescharacteristic
166#4668C2211yescharacteristic
167#4667C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic
182#4665C2211yescharacteristic
183D3×#95C2211yescharacteristic
184D3×#95C2211yescharacteristic
185D3×#95C2211yescharacteristic
186D3×#95C2211yescharacteristic
187#4655C2211yescharacteristic
188#4654C2211yescharacteristic
189#4653C2211yescharacteristic
190#4652C2211yescharacteristic
191#4647C2211yescharacteristic
192C2×#547—31no—
193C2×#547—31no—
194C2×#537—31no—
195C2×#532—31no—
196#2854—31no—
197#2677—31no—
198#2677D311yescharacteristic, complemented
199#2676—31no—
200#2676—31no—
201#2674—31no—
202#2674—31no—
203#2673—31no—
204#2673—31no—
205#2656—31no—
206#2618—31no—
207#2543—31no—
208#2543—31no—
209#2463—31no—
210#2463—31no—
211#2456—31no—
212#2456—31no—
213#2449—31no—
214#2449—31no—
215#2443—31no—
216#2443—31no—
217#2430—31no—
218#2430—31no—
219#2430—31no—
220#2430—31no—
221#2325—31no—
222C2×#387—31no—
223C22×C3×Q8C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C22×C3×Q8C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C2×#239—24no—
234C2×#239—24no—
235C2×#239—24no—
236C2×#239—24no—
237C2×#239—24no—
238C2×#239—24no—
239C2×#239—42no—
240C2×#239—42no—
241C2×#239—42no—
242C2×#235—24no—
243C2×#235—24no—
244C2×#235—42no—
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×Dic6C2311yescharacteristic
277C3×C4⋊Q8—24no—
278C3×C4⋊Q8—24no—
279C3×C22⋊Q8—24no—
280C3×C22⋊Q8—24no—
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C4⋊C4C2311yescharacteristic
291C2×C3×C4⋊C4C2311yescharacteristic
292C2×C3×C4⋊C4C2311yescharacteristic
293C2×C3×C4⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C42C2311yescharacteristic
301C2×C3×C42C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304#947—24no—
305#947—24no—
306#946—24no—
307#946—24no—
308#946—24no—
309#944—24no—
310#930—24no—
311C4×#67—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372#897—24no—
373#896—24no—
374#896—24no—
375#895—24no—
376#895—24no—
377#895—24no—
378#895—24no—
379#895—24no—
380#895—24no—
381#895—24no—
382#895—42no—
383#895D418yescomplemented
384#894—24no—
385#894—24no—
386#894—24no—
387#894—24no—
388#894—24no—
389#894—24no—
390#893—24no—
391#893—24no—
392#893—24no—
393#893—24no—
394#893—24no—
395D3×C4⋊C4—24no—
396D3×C4⋊C4—24no—
397D3×C4⋊C4—24no—
398D3×C4⋊C4D418yescomplemented
399#884—24no—
400#884—24no—
401#884—24no—
402#884—24no—
403#884—24no—
404#884—24no—
405#884—42no—
406#883—24no—
407#883—24no—
408#874—24no—
409C4×D12—24no—
410C4×D12—24no—
411C42×D3—24no—
412C3×#95C2311yescharacteristic
413C3×#95C2311yescharacteristic
414C3×#95C2311yescharacteristic
415C3×#95C2311yescharacteristic
416C3×#95C2311yescharacteristic
417C3×#95C2311yescharacteristic
418C3×#95C2311yescharacteristic
419C3×#95C2311yescharacteristic
420C3×#95C2311yescharacteristic
421C3×#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C3⋊#95C2311yescharacteristic
436C3⋊#95C2311yescharacteristic
437C3⋊#95C2311yescharacteristic
438C3⋊#95C2311yescharacteristic
439C3⋊#95C2311yescharacteristic
440C3⋊#95C2311yescharacteristic
441C3⋊#95C2311yescharacteristic
442C22×#41—31no—
443C22×#41—31no—
444C22×#41—31no—
445C22×#41—31no—
446#547—68no—
447#547—68no—
448#537—68no—
449#532—68no—
450C2×C4⋊Q8—31no—
451C2×C4⋊Q8C2×D311yescharacteristic
452C2×C4⋊Q8C2×D311yescharacteristic
453C2×#127—31no—
454C2×#124—31no—
455C2×#124—31no—
456C2×#123—31no—
457C2×#123—31no—
458C2×#123—31no—
459C2×#123—31no—
460C2×#123—31no—
461C2×#123—31no—
462C2×#123—31no—
463C2×#123—31no—
464C2×C22⋊Q8—31no—
465C2×C22⋊Q8—31no—
466C2×C22⋊Q8—31no—
467C2×C22⋊Q8—31no—
468C2×C22⋊Q8—31no—
469C2×C22⋊Q8—31no—
470C2×C22⋊Q8C2×D311yescharacteristic
471C2×C22⋊Q8C2×D311yescharacteristic
472C2×#121—31no—
473C2×#121—31no—
474C2×#121—31no—
475C2×#121—31no—
476C2×#121—31no—
477C2×#121—31no—
478C2×#121—31no—
479C2×#121—31no—
480C2×#121—31no—
481C2×#121—31no—
482C2×#121—31no—
483C2×#121—31no—
484C2×#121—31no—
485C2×#121—31no—
486C2×#121—31no—
487C2×#121—31no—
488C2×#121—31no—
489C2×C4×D4—31no—
490C2×C4×D4—31no—
491C2×C4×D4—31no—
492C2×C4×D4—31no—
493C2×C4×D4—31no—
494C2×C4×D4—31no—
495C2×C4×D4—31no—
496C2×C4×D4—31no—
497C22×C4⋊C4—31no—
498C22×C4⋊C4—31no—
499C22×C4⋊C4—31no—
500C22×C4⋊C4—31no—
501C22×C42—31no—
502#399—31no—
503#399—31no—
504#399—31no—
505#399C2×D311yescharacteristic
506#398—31no—
507#398—31no—
508#398C2×D311yescharacteristic
509#398C2×D311yescharacteristic
510#397—31no—
511#397—31no—
512#396—31no—
513#396—31no—
514#396—31no—
515#396—31no—
516#395—31no—
517#395—31no—
518#395C2×D311yescharacteristic
519#395C2×D311yescharacteristic
520#394—31no—
521#394—31no—
522#394—31no—
523#394—31no—
524#394—31no—
525#394—31no—
526#394—31no—
527#394—31no—
528#393—31no—
529#393—31no—
530#393—31no—
531#393C2×D311yescharacteristic
532#392—31no—
533#392—31no—
534#392—31no—
535#392—31no—
536#392—31no—
537#392—31no—
538#392—31no—
539#392—31no—
540#392—31no—
541#392—31no—
542#390—31no—
543#390—31no—
544#389—31no—
545#389—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388—31no—
551#388—31no—
552#388—31no—
553#388—31no—
554#388C2×D311yescharacteristic
555#388C2×D311yescharacteristic
556#387—31no—
557#387—31no—
558#387—31no—
559#387—31no—
560#387—31no—
561#387—31no—
562#387—31no—
563#387—31no—
564#387C2×D311yescharacteristic
565#387C2×D311yescharacteristic
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386—31no—
573#386—31no—
574#386—31no—
575#386—31no—
576#386—31no—
577#386—31no—
578#386—31no—
579#386—31no—
580#386—31no—
581#386—31no—
582#386—31no—
583#386—31no—
584#386—31no—
585#386—31no—
586#385—31no—
587#385—31no—
588#385—31no—
589#385—31no—
590#385—31no—
591#385—31no—
592#385—31no—
593#385—31no—
594#385—31no—
595#385C2×D311yescharacteristic
596#380—31no—
597C2×#95—31no—
598C2×#95—31no—
599C2×#95—31no—
600C2×#95—31no—
601C24×C3C2411yescharacteristic
602C23×D3C2411yescharacteristic
603C23×D3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C2×C3×Q8—22no—
609C2×C3×Q8—22no—
610C2×C3×Q8—22no—
611C2×C3×Q8—22no—
612C2×C3×Q8—22no—
613C2×C3×Q8—22no—
614C2×C3×Q8—41no—
615C2×C3×Q8—41no—
616C2×C3×Q8—41no—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—41no—
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
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—
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662#239—416no—
663#239—416no—
664#239—416no—
665#235—416no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—22no—
676C2×D12—22no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—22no—
683C2×D12—22no—
684C2×D12—22no—
685C2×D12—22no—
686C2×D12—22no—
687C2×D12—22no—
688C2×D12—22no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—41no—
693C2×D12—41no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12—41no—
707C2×D12—41no—
708C2×D12C2×D414yes—
709C2×D12C2×D414yes—
710C2×D12C2×D414yes—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—22no—
718C2×C4×D3—22no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—22no—
725C2×C4×D3—22no—
726C2×C4×D3—22no—
727C2×C4×D3—22no—
728C2×C4×D3—22no—
729C2×C4×D3—22no—
730C2×C4×D3—22no—
731C2×C4×D3—22no—
732C2×C4×D3—22no—
733C2×C4×D3—22no—
734C2×C4×D3—22no—
735C2×C4×D3—41no—
736C2×C4×D3—41no—
737C2×C4×D3—41no—
738C2×C4×D3—41no—
739C2×C4×D3—41no—
740C2×C4×D3—41no—
741C2×C4×D3—41no—
742C2×C4×D3—41no—
743C2×C4×D3—41no—
744C2×C4×D3—41no—
745C2×C4×D3—41no—
746C2×C4×D3—41no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×C4×D3C2×D414yes—
756C2×C4×D3C2×D414yes—
757C2×C4×D3C2×D414yes—
758C2×C4×D3C2×D414yes—
759C2×Dic6—22no—
760C2×Dic6—22no—
761C2×Dic6—41no—
762C3×C4⋊C4—22no—
763C3×C4⋊C4—22no—
764C3×C4⋊C4—22no—
765C3×C4⋊C4—22no—
766C3×C4⋊C4—22no—
767C3×C4⋊C4—22no—
768C3×C4⋊C4—22no—
769C3×C4⋊C4—22no—
770C3×C4⋊C4—22no—
771C3×C4⋊C4—22no—
772C3×C4⋊C4—41no—
773C3×C4⋊C4C2×D414yes—
774C3×C4⋊C4C2×D414yes—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—22no—
777C3×C22⋊C4—22no—
778C3×C22⋊C4—22no—
779C3×C22⋊C4—22no—
780C3×C22⋊C4—41no—
781C3×C42—22no—
782C3×C42—22no—
783#217—22no—
784#217—41no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4—41no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4C2×D414yes—
822(C2×D3)⋊C4C2×D414yes—
823C4⋊Dic3—22no—
824C4⋊Dic3—22no—
825C4⋊Dic3—22no—
826C4⋊Dic3C2×D414yes—
827Dic3⋊C4—22no—
828Dic3⋊C4—22no—
829Dic3⋊C4—22no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—22no—
834Dic3⋊C4—22no—
835Dic3⋊C4—22no—
836Dic3⋊C4—41no—
837Dic3⋊C4—41no—
838Dic3⋊C4—41no—
839Dic3⋊C4C2×D414yes—
840Dic3⋊C4C2×D414yes—
841C4×Dic3—22no—
842C4×Dic3—22no—
843C4×Dic3—22no—
844C4×Dic3—22no—
845C2×#41—64no—
846C2×#41—64no—
847C2×#41—64no—
848C2×#41—64no—
849C2×#41—64no—
850C2×#41—64no—
851C2×#41—64no—
852C2×#41—64no—
853C2×#41—122no—
854C2×#41—122no—
855C2×#41—122no—
856C2×#41—122no—
857C22×Q8—31no—
858C22×Q8C22×D311yescharacteristic
859C22×Q8C22×D311yescharacteristic
860C22×Q8C22×D311yescharacteristic
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C23×C4—31no—
883C23×C4—31no—
884C23×C4—31no—
885C23×C4—31no—
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4—31no—
892C23×C4—31no—
893C23×C4—31no—
894C23×C4—31no—
895C23×C4—31no—
896C23×C4—31no—
897C23×C4—31no—
898C23×C4C22×D311yescharacteristic
899C4⋊Q8—24no—
900C4⋊Q8—24no—
901C4⋊Q8—64no—
902#127—64no—
903#124—64no—
904#124—64no—
905#123—64no—
906#123—64no—
907#123—64no—
908#123—64no—
909#123—64no—
910#123—64no—
911#123—64no—
912#123—64no—
913C22⋊Q8—24no—
914C22⋊Q8—24no—
915C22⋊Q8—64no—
916C22⋊Q8—64no—
917C22⋊Q8—64no—
918C22⋊Q8—64no—
919C22⋊Q8—64no—
920C22⋊Q8—64no—
921#121—38no—
922#121—64no—
923#121—64no—
924#121—64no—
925#121—64no—
926#121—64no—
927#121—64no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—64no—
932#121—64no—
933#121—64no—
934#121—64no—
935#121—64no—
936#121—122no—
937#121—122no—
938C4×D4—64no—
939C4×D4—64no—
940C4×D4—64no—
941C4×D4—64no—
942C4×D4—64no—
943C4×D4—64no—
944C4×D4—64no—
945C4×D4—64no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—38no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—31no—
963C2×C4⋊C4—31no—
964C2×C4⋊C4—31no—
965C2×C4⋊C4—64no—
966C2×C4⋊C4—64no—
967C2×C4⋊C4—64no—
968C2×C4⋊C4C22×D311yescharacteristic
969C2×C4⋊C4C22×D311yescharacteristic
970C2×C4⋊C4C22×D311yescharacteristic
971C2×C4⋊C4C22×D311yescharacteristic
972C2×C4⋊C4C22×D311yescharacteristic
973C2×C4⋊C4C22×D311yescharacteristic
974C2×C4⋊C4C22×D311yescharacteristic
975C2×C4⋊C4C22×D311yescharacteristic
976C2×C4⋊C4C22×D311yescharacteristic
977C2×C4⋊C4C22×D311yescharacteristic
978C2×C4⋊C4C22×D311yescharacteristic
979C2×C4⋊C4C22×D311yescharacteristic
980C2×C4⋊C4C22×D311yescharacteristic
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—31no—
1020C2×C22⋊C4—31no—
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C42—31no—
1028C2×C42—31no—
1029C2×C42—31no—
1030C2×C42—31no—
1031C2×C42—64no—
1032C2×C42C22×D311yescharacteristic
1033C2×C42C22×D311yescharacteristic
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95C22×D311yescharacteristic
1055#95C22×D311yescharacteristic
1056#95C22×D311yescharacteristic
1057#95C22×D311yescharacteristic
1058#95C22×D311yescharacteristic
1059#95C22×D311yescharacteristic
1060#95C22×D311yescharacteristic
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063#95C22×D311yescharacteristic
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3C2511yescharacteristic
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3C22×D412yes—
1110C22×D3C22×D412yes—
1111C22×D3C22×D412yes—
1112C22×D3C22×D412yes—
1113C22×D3H(5,𝔽2)12yes—
1114C3×Q8—44no—
1115C3×Q8—44no—
1116C3×Q8—44no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—44no—
1153C2×C3×C4C22×D412yes—
1154C2×C3×C4C22×D412yes—
1155C2×C3×C4C22×D412yes—
1156C2×C3×C4C22×D412yes—
1157C2×C3×C4C22×D412yes—
1158C2×C3×C4C22×D412yes—
1159C2×C3×C42−1+412yes—
1160#67—44no—
1161#67—44no—
1162#67—44no—
1163#67—82no—
1164#67—82no—
1165#67—82no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3C22×D412yes—
1193C2×Dic3C22×D412yes—
1194C2×Dic3C22×D412yes—
1195C2×Dic3C22×D412yes—
1196D12—28no—
1197D12—28no—
1198D12—44no—
1199D12—44no—
1200D12—44no—
1201D12—44no—
1202D12—44no—
1203D12—44no—
1204D12—44no—
1205D12—44no—
1206D12—44no—
1207D12—44no—
1208D12—44no—
1209D12—82no—
1210D12—82no—
1211C4×D3—28no—
1212C4×D3—28no—
1213C4×D3—44no—
1214C4×D3—44no—
1215C4×D3—44no—
1216C4×D3—44no—
1217C4×D3—44no—
1218C4×D3—44no—
1219C4×D3—44no—
1220C4×D3—44no—
1221C4×D3—44no—
1222C4×D3—44no—
1223C4×D3—44no—
1224C4×D3—44no—
1225C4×D3—82no—
1226C4×D3—82no—
1227Dic6—44no—
1228C24—31no—
1229C24—31no—
1230C24—31no—
1231C24—31no—
1232C24—31no—
1233C24—31no—
1234C24C23×D311yescharacteristic
1235#41—1216no—
1236#41—1216no—
1237#41—1216no—
1238#41—1216no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—41no—
1246C2×Q8—41no—
1247C2×Q8—41no—
1248C2×Q8—62no—
1249C2×Q8—62no—
1250C2×Q8—121no—
1251C2×D4—34no—
1252C2×D4—34no—
1253C2×D4—34no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—62no—
1280C2×D4—62no—
1281C2×D4—62no—
1282C2×D4—62no—
1283C2×D4—62no—
1284C2×D4—62no—
1285C2×D4—62no—
1286C2×D4—62no—
1287C2×D4—62no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—121no—
1299C2×D4—121no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—121no—
1304C2×D4—121no—
1305C2×D4—121no—
1306C2×D4—121no—
1307C2×D4—121no—
1308C2×D4—121no—
1309C2×D4—121no—
1310C2×D4—121no—
1311C2×D4—121no—
1312C2×D4—121no—
1313C2×D4—121no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—31no—
1317C22×C4—31no—
1318C22×C4—31no—
1319C22×C4—31no—
1320C22×C4—34no—
1321C22×C4—34no—
1322C22×C4—34no—
1323C22×C4—34no—
1324C22×C4—31no—
1325C22×C4—31no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—41no—
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—62no—
1342C22×C4—62no—
1343C22×C4—62no—
1344C22×C4—62no—
1345C22×C4—62no—
1346C22×C4—62no—
1347C22×C4—62no—
1348C22×C4—62no—
1349C22×C4—62no—
1350C22×C4—62no—
1351C22×C4—62no—
1352C22×C4—62no—
1353C22×C4—62no—
1354C22×C4—62no—
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×C4—121no—
1368C22×C4—121no—
1369C22×C4—121no—
1370C22×C4—121no—
1371C22×C4—121no—
1372C22×C4—121no—
1373C22×C4—121no—
1374C22×C4—121no—
1375C22×C4C23×D311yescharacteristic
1376C22×C4C23×D311yescharacteristic
1377C22×C4C23×D311yescharacteristic
1378C22×C4C23×D311yescharacteristic
1379C22×C4C23×D311yescharacteristic
1380C22×C4C23×D311yescharacteristic
1381C22×C4C23×D311yescharacteristic
1382C22×C4C23×D311yescharacteristic
1383C22×C4C23×D311yescharacteristic
1384C22×C4C23×D311yescharacteristic
1385C22×C4C23×D311yescharacteristic
1386C22×C4C23×D311yescharacteristic
1387C22×C4C23×D311yescharacteristic
1388C22×C4C23×D311yescharacteristic
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—34no—
1400C4⋊C4—34no—
1401C4⋊C4—34no—
1402C4⋊C4—41no—
1403C4⋊C4—62no—
1404C4⋊C4—62no—
1405C4⋊C4—62no—
1406C4⋊C4—62no—
1407C4⋊C4—62no—
1408C4⋊C4—62no—
1409C4⋊C4—62no—
1410C4⋊C4—62no—
1411C4⋊C4—62no—
1412C4⋊C4—62no—
1413C4⋊C4—62no—
1414C4⋊C4—62no—
1415C4⋊C4—121no—
1416C4⋊C4—121no—
1417C4⋊C4—121no—
1418C4⋊C4D3×D414yes—
1419C4⋊C4D3×D414yes—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—34no—
1426C22⋊C4—34no—
1427C22⋊C4—41no—
1428C22⋊C4—62no—
1429C22⋊C4—62no—
1430C22⋊C4—62no—
1431C22⋊C4—62no—
1432C22⋊C4—62no—
1433C22⋊C4—62no—
1434C22⋊C4—62no—
1435C22⋊C4—62no—
1436C22⋊C4—62no—
1437C22⋊C4—62no—
1438C22⋊C4—62no—
1439C22⋊C4—62no—
1440C22⋊C4—62no—
1441C22⋊C4—62no—
1442C22⋊C4—62no—
1443C22⋊C4—62no—
1444C22⋊C4—62no—
1445C22⋊C4—62no—
1446C22⋊C4—62no—
1447C22⋊C4—62no—
1448C22⋊C4—62no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—121no—
1454C22⋊C4—121no—
1455C22⋊C4—121no—
1456C22⋊C4—121no—
1457C22⋊C4—121no—
1458C22⋊C4—121no—
1459C22⋊C4—121no—
1460C22⋊C4—121no—
1461C22⋊C4—121no—
1462C22⋊C4—121no—
1463C22⋊C4—121no—
1464C22⋊C4—121no—
1465C22⋊C4—121no—
1466C42—22no—
1467C42—22no—
1468C42—62no—
1469C42—62no—
1470C42—62no—
1471C42—62no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3—41no—
1479C22×C3C23×D411yescharacteristic
1480C22×C3C23×D411yescharacteristic
1481C22×C3C2×H(5,𝔽2)11yescharacteristic
1482C22×C3C2×2−1+411yescharacteristic
1483C22×C3#58511yescharacteristic
1484C22×C3#58511yescharacteristic
1485C22×C3#58511yescharacteristic
1486C2×D3—22no—
1487C2×D3—22no—
1488C2×D3—22no—
1489C2×D3—22no—
1490C2×D3—22no—
1491C2×D3—22no—
1492C2×D3—22no—
1493C2×D3—22no—
1494C2×D3—22no—
1495C2×D3—22no—
1496C2×D3—22no—
1497C2×D3—22no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3—41no—
1503C2×D3—41no—
1504C2×D3—41no—
1505C2×D3—41no—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—41no—
1519C2×D3—41no—
1520C2×D3—41no—
1521C2×D3—41no—
1522C2×D3—41no—
1523C2×D3—41no—
1524C2×D3—41no—
1525C2×D3—41no—
1526C2×D3—41no—
1527C2×D3D4214yes—
1528C3×C4—22no—
1529C3×C4—22no—
1530C3×C4—22no—
1531C3×C4—22no—
1532C3×C4—22no—
1533C3×C4—22no—
1534C3×C4—22no—
1535C3×C4—41no—
1536C3×C4—41no—
1537C3×C4—41no—
1538C3×C4—41no—
1539C3×C4—41no—
1540C3×C4—41no—
1541C3×C4—41no—
1542Dic3—22no—
1543Dic3—22no—
1544Dic3—22no—
1545Dic3—22no—
1546Dic3—41no—
1547Dic3—41no—
1548Dic3—41no—
1549Dic3—41no—
1550Dic3—41no—
1551Dic3—41no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—32no—
1560C23—32no—
1561C23—32no—
1562C23—32no—
1563C23—32no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
1600C23—61no—
1601C23C24×D311yescharacteristic
1602Q8—44no—
1603Q8—44no—
1604Q8—44no—
1605Q8—124no—
1606D4—68no—
1607D4—68no—
1608D4—124no—
1609D4—124no—
1610D4—124no—
1611D4—124no—
1612D4—124no—
1613D4—124no—
1614D4—124no—
1615D4—124no—
1616D4—124no—
1617D4—124no—
1618D4—124no—
1619D4—124no—
1620D4—124no—
1621D4—124no—
1622D4—242no—
1623D4—242no—
1624D4—242no—
1625D4—242no—
1626D4—242no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—32no—
1663C2×C4—32no—
1664C2×C4—32no—
1665C2×C4—32no—
1666C2×C4—44no—
1667C2×C4—68no—
1668C2×C4—68no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—124no—
1696C2×C4—124no—
1697C2×C4—124no—
1698C2×C4—124no—
1699C2×C4—124no—
1700C2×C4—124no—
1701C2×C4—124no—
1702C2×C4—124no—
1703C2×C4—124no—
1704C2×C4—124no—
1705C2×C4—124no—
1706C2×C4—124no—
1707C2×C4—242no—
1708C2×C4—242no—
1709C2×C4C2×D3×D412yes—
1710C2×C4C2×D3×D412yes—
1711C2×C4C2×D3×D412yes—
1712C2×C4C2×D3×D412yes—
1713C2×C4C2×D3×D412yes—
1714C2×C4C2×D3×D412yes—
1715C2×C4#100712yes—
1716C2×C3—81no—
1717C2×C3#344911yescharacteristic
1718C2×C3C2×D4211yescharacteristic
1719C2×C3#348511yescharacteristic
1720C2×C3#348911yescharacteristic
1721C2×C3#349711yescharacteristic
1722C2×C3#355911yescharacteristic
1723C2×C3#356011yescharacteristic
1724D3—24no—
1725D3—42no—
1726D3—42no—
1727D3—81no—
1728D3—81no—
1729D3—81no—
1730C22—34no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—62no—
1739C22—62no—
1740C22—62no—
1741C22—62no—
1742C22—62no—
1743C22—62no—
1744C22—62no—
1745C22—62no—
1746C22—62no—
1747C22—62no—
1748C22—62no—
1749C22—62no—
1750C22—121no—
1751C22—121no—
1752C22—121no—
1753C22—121no—
1754C22—121no—
1755C22—121no—
1756C22—121no—
1757C22—121no—
1758C22—121no—
1759C22—121no—
1760C22—121no—
1761C22—121no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—121no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22—121no—
1779C22C22×D3×D411yescharacteristic
1780C22C22×D3×D411yescharacteristic
1781C22C2×#100711yescharacteristic
1782C22D3×H(5,𝔽2)11yescharacteristic
1783C22#596811yescharacteristic
1784C22#596811yescharacteristic
1785C22#596811yescharacteristic
1786C4—22no—
1787C4—22no—
1788C4—22no—
1789C4—22no—
1790C4—22no—
1791C4—22no—
1792C4—22no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—62no—
1801C4—62no—
1802C4—62no—
1803C4—62no—
1804C4—121no—
1805C4—121no—
1806C4—121no—
1807C4—121no—
1808C4—121no—
1809C4—121no—
1810C3#3767911yescharacteristic, complemented, Sylow
1811C2—64no—
1812C2—81no—
1813C2—122no—
1814C2—122no—
1815C2—241no—
1816C2—241no—
1817C2—241no—
1818C2#8633811yescharacteristic
1819C2#8635411yescharacteristic
1820C2#8660311yescharacteristic
1821C2D3×D4211yescharacteristic
1822C2#8674511yescharacteristic
1823C2#8676011yescharacteristic
1824C2#8713511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2677C2
hypercenter#2677D3
hypocenterC3#37679
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2677

Complements

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

NH ≅ G/Ntype
1. C2×#5726C2semidirect
2. C2×#5725C2semidirect
3. C2×#5631C2semidirect
4. C2×#5629C2semidirect
5. C3×#2677C2semidirect
6. #83266C2semidirect
7. #83265C2semidirect
8. #82827C2semidirect
9. #82818C2semidirect
10. #78111C2semidirect
11. #78103C2semidirect
12. #77962C2semidirect
13. #77957C2semidirect
14. #77952C2semidirect
15. #77951C2semidirect
16. #77260C2semidirect
17. #77252C2semidirect
18. #77250C2semidirect
19. #77250C2semidirect
20. #76864C2semidirect
21. #76822C2semidirect
22. #75960C2semidirect
23. #75914C2semidirect
24. #75882C2semidirect
25. #75504C2semidirect
26. #75387C2semidirect
27. #75327C2semidirect
28. #75298C2semidirect
29. D3×#387C2semidirect
30. #74606C2semidirect
31. #74427C2semidirect
198. #2677D3semidirect
383. #895D4semidirect
398. D3×C4⋊C4D4semidirect
1810. C3#37679semidirect

Maximal subgroups

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

subgroupindex
C2×#57262
C2×#57252
C2×#56312
C2×#56292
C3×#26772
#832662
#832652
#828272
#828182
#781112
#781032
#779622
#779572
#779522
#779512
#772602
#772522
#772502
#768642
#768222
#759602
#759142
#758822
#755042
#753872
#753272
#752982
D3×#3872
#746062
#744272
#376793