Finite Group Databasebeta

← #11024532

Subgroups — #11024532

Order 768.

2922 conjugacy classes of subgroups.

The subgroup lattice has 1674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5727C211yesmaximal, characteristic, complemented
2C2×D3×C4⋊Q8C211yesmaximal, characteristic, complemented
3C2×#5633C211yesmaximal, characteristic
4C2×#5628C211yesmaximal, characteristic, complemented
5C3×#2677C211yesmaximal, characteristic, complemented
6#83266C211yesmaximal, characteristic, complemented
7#83265C211yesmaximal, characteristic, complemented
8#82817C211yesmaximal, characteristic, complemented
9#82791C211yesmaximal, characteristic, complemented
10#78103C211yesmaximal, characteristic, complemented
11#78057C211yesmaximal, characteristic, complemented
12#77952C211yesmaximal, characteristic, complemented
13#77951C211yesmaximal, characteristic, complemented
14#77818C211yesmaximal, characteristic, complemented
15#77785C211yesmaximal, characteristic, complemented
16#77260C211yesmaximal, characteristic, complemented
17#77252C211yesmaximal, characteristic, complemented
18#77173C211yesmaximal, characteristic, complemented
19#77173C211yesmaximal, characteristic, complemented
20#76874C211yesmaximal, characteristic, complemented
21#76781C211yesmaximal, characteristic, complemented
22#75957C211yesmaximal, characteristic, complemented
23#75915C211yesmaximal, characteristic, complemented
24#75848C211yesmaximal, characteristic, complemented
25#75593C211yesmaximal, characteristic, complemented
26#75390C211yesmaximal, characteristic, complemented
27#75319C211yesmaximal, characteristic, complemented
28#74948C211yesmaximal, characteristic, complemented
29#74937C211yesmaximal, characteristic, complemented
30#74609C211yesmaximal, characteristic, complemented
31#74411C211yesmaximal, characteristic, complemented
32#37675—31nomaximal, Sylow
33C22×D3×Q8C2211yescharacteristic
34C22×D3×Q8C2211yescharacteristic
35C22×D3×Q8C2211yescharacteristic
36C22×#235C2211yescharacteristic
37C2×C3×C4⋊Q8C2211yescharacteristic
38C2×C3×C4⋊Q8C2211yescharacteristic
39C2×C3×C22⋊Q8C2211yescharacteristic
40C2×C3×C22⋊Q8C2211yescharacteristic
41C2×#947C2211yescharacteristic
42C2×#946C2211yescharacteristic
43C2×#946C2211yescharacteristic
44C2×#946C2211yescharacteristic
45C2×#944C2211yescharacteristic
46C2×#944C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic
48C2×#924C2211yescharacteristic
49#5727—28no—
50D3×C4⋊Q8—28no—
51#5633—28no—
52#5628—28no—
53C2×#897C2211yescharacteristic
54C2×#896C2211yescharacteristic
55C2×#896C2211yescharacteristic
56C2×#896C2211yescharacteristic
57C2×#896C2211yescharacteristic
58C2×#896C2211yescharacteristic
59C2×#896C2211yescharacteristic
60C2×#895C2211yescharacteristic
61C2×#894C2211yescharacteristic
62C2×#894C2211yescharacteristic
63C2×#893C2211yescharacteristic
64C2×#893C2211yescharacteristic
65C2×#893C2211yescharacteristic
66C2×#892C2211yescharacteristic
67C2×D3×C4⋊C4C2211yescharacteristic
68C2×D3×C4⋊C4C2211yescharacteristic
69C2×D3×C4⋊C4C2211yescharacteristic
70C2×D3×C4⋊C4C2211yescharacteristic
71C2×#888C2211yescharacteristic
72C2×#888C2211yescharacteristic
73C2×#888C2211yescharacteristic
74C2×#888C2211yescharacteristic
75C2×#888C2211yescharacteristic
76C2×#888C2211yescharacteristic
77C2×#888C2211yescharacteristic
78C2×#888C2211yescharacteristic
79C2×#887C2211yescharacteristic
80C2×#885C2211yescharacteristic
81C2×#885C2211yescharacteristic
82C2×#885C2211yescharacteristic
83C2×#885C2211yescharacteristic
84C2×#885C2211yescharacteristic
85C2×#884C2211yescharacteristic
86C2×#884C2211yescharacteristic
87C2×#883C2211yescharacteristic
88C2×#883C2211yescharacteristic
89C2×C4×D12C2211yescharacteristic
90C2×C42×D3C2211yescharacteristic
91C2×#869C2211yescharacteristic
92C2×C4×Dic6C2211yescharacteristic
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#5230C2211yescharacteristic
106#5230C2211yescharacteristic
107#5210C2211yescharacteristic
108#4994C2211yescharacteristic
109#4993C2211yescharacteristic
110#4993C2211yescharacteristic
111#4993C2211yescharacteristic
112#4992C2211yescharacteristic
113#4991C2211yescharacteristic
114#4990C2211yescharacteristic
115#4989C2211yescharacteristic
116#4989C2211yescharacteristic
117#4989C2211yescharacteristic
118#4989C2211yescharacteristic
119#4989C2211yescharacteristic
120#4989C2211yescharacteristic
121#4983C2211yescharacteristic
122#4982C2211yescharacteristic
123#4982C2211yescharacteristic
124#4981C2211yescharacteristic
125#4981C2211yescharacteristic
126#4980C2211yescharacteristic
127#4980C2211yescharacteristic
128#4979C2211yescharacteristic
129#4979C2211yescharacteristic
130#4978C2211yescharacteristic
131#4976C2211yescharacteristic
132#4976C2211yescharacteristic
133#4961C2211yescharacteristic
134#4959C2211yescharacteristic
135#4957C2211yescharacteristic
136#4956C2211yescharacteristic
137#4956C2211yescharacteristic
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic
140#4949C2211yescharacteristic
141#4949C2211yescharacteristic
142#4949C2211yescharacteristic
143#4948C2211yescharacteristic
144#4948C2211yescharacteristic
145#4947C2211yescharacteristic
146#4945C2211yescharacteristic
147#4944C2211yescharacteristic
148#4940C2211yescharacteristic
149#4940C2211yescharacteristic
150#4940C2211yescharacteristic
151#4933C2211yescharacteristic
152#4677C2211yescharacteristic
153#4676C2211yescharacteristic
154#4675C2211yescharacteristic
155#4675C2211yescharacteristic
156#4674C2211yescharacteristic
157#4673C2211yescharacteristic
158#4672C2211yescharacteristic
159#4670C2211yescharacteristic
160#4669C2211yescharacteristic
161#4668C2211yescharacteristic
162#4668C2211yescharacteristic
163#4668C2211yescharacteristic
164#4668C2211yescharacteristic
165#4668C2211yescharacteristic
166#4668C2211yescharacteristic
167#4666C2211yescharacteristic
168#4666C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4661C2211yescharacteristic
176#4656C2211yescharacteristic
177#4656C2211yescharacteristic
178#4655C2211yescharacteristic
179#4654C2211yescharacteristic
180#4653C2211yescharacteristic
181#4652C2211yescharacteristic
182#4650C2211yescharacteristic
183#4649C2211yescharacteristic
184#4648C2211yescharacteristic
185#4647C2211yescharacteristic
186#4647C2211yescharacteristic
187#4646C2211yescharacteristic
188#4646C2211yescharacteristic
189#4646C2211yescharacteristic
190#4646C2211yescharacteristic
191#4646C2211yescharacteristic
192C2×D4×Q8—31no—
193C2×#548—31no—
194C2×#536—31no—
195C22×C4⋊Q8—31no—
196#2850—31no—
197#2677—31no—
198#2677—31no—
199#2677—31no—
200#2677D311yescharacteristic, complemented
201#2674—31no—
202#2674—31no—
203#2674—31no—
204#2674—31no—
205#2658—31no—
206#2621—31no—
207#2546—31no—
208#2545—31no—
209#2449—31no—
210#2449—31no—
211#2449—31no—
212#2449—31no—
213#2443—31no—
214#2443—31no—
215#2443—31no—
216#2443—31no—
217#2436—31no—
218#2434—31no—
219#2434—31no—
220#2432—31no—
221#2327—31no—
222#2290—31no—
223C22×C3×Q8C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C22×C3×Q8C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C2×D3×Q8—24no—
231C2×D3×Q8—24no—
232C2×D3×Q8—24no—
233C2×D3×Q8—24no—
234C2×D3×Q8—24no—
235C2×D3×Q8—24no—
236C2×D3×Q8—42no—
237C2×D3×Q8—42no—
238C2×D3×Q8—42no—
239C2×#235—24no—
240C2×#235—24no—
241C2×#235—42no—
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C22×Dic6C2311yescharacteristic
258C22×Dic6C2311yescharacteristic
259C22×Dic6C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C22×Dic6C2311yescharacteristic
262C22×Dic6C2311yescharacteristic
263C22×Dic6C2311yescharacteristic
264C3×C4⋊Q8—24no—
265C3×C4⋊Q8—24no—
266C3×C22⋊Q8—24no—
267C3×C22⋊Q8—24no—
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C42C2311yescharacteristic
288C2×C3×C42C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294#947—24no—
295#946—24no—
296#946—24no—
297#946—24no—
298#944—24no—
299#944—24no—
300C4×#67—24no—
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×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368#897—24no—
369#896—24no—
370#896—24no—
371#896—24no—
372#896—24no—
373#896—24no—
374#896—24no—
375#895—24no—
376#894—24no—
377#894—24no—
378#893—24no—
379#893—24no—
380#893D418yes—
381#892—24no—
382D3×C4⋊C4—24no—
383D3×C4⋊C4—24no—
384D3×C4⋊C4—24no—
385D3×C4⋊C4—24no—
386#888—24no—
387#888—24no—
388#888—24no—
389#888—24no—
390#888—24no—
391#888—24no—
392#888—42no—
393#888D418yescomplemented
394#887—24no—
395#885—24no—
396#885—24no—
397#885—24no—
398#885—24no—
399#885—42no—
400#884—24no—
401#884—24no—
402#883—24no—
403#883—24no—
404C4×D12—24no—
405C42×D3—24no—
406#869—24no—
407C4×Dic6—24no—
408C3×#95C2311yescharacteristic
409C3×#95C2311yescharacteristic
410C3×#95C2311yescharacteristic
411C3×#95C2311yescharacteristic
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—
443C23×Q8—31no—
444C23×Q8—31no—
445C23×Q8—31no—
446D4×Q8—68no—
447#548—68no—
448#536—68no—
449C2×C4⋊Q8—31no—
450C2×C4⋊Q8—31no—
451C2×C4⋊Q8—31no—
452C2×C4⋊Q8—31no—
453C2×C4⋊Q8—31no—
454C2×C4⋊Q8—31no—
455C2×C4⋊Q8—31no—
456C2×C4⋊Q8—31no—
457C2×C4⋊Q8—31no—
458C2×C4⋊Q8—31no—
459C2×C4⋊Q8—31no—
460C2×C4⋊Q8—68no—
461C2×C4⋊Q8C2×D311yescharacteristic
462C2×C4⋊Q8C2×D311yescharacteristic
463C2×#124—31no—
464C2×#124—31no—
465C2×#124—31no—
466C2×#124—31no—
467C2×#124—31no—
468C2×#124—31no—
469C2×#123—31no—
470C2×#123—31no—
471C2×#123—31no—
472C2×#123—31no—
473C2×C22⋊Q8—31no—
474C2×C22⋊Q8—31no—
475C2×C22⋊Q8—31no—
476C2×C22⋊Q8—31no—
477C2×C22⋊Q8—31no—
478C2×C22⋊Q8—31no—
479C2×C22⋊Q8—31no—
480C2×C22⋊Q8—31no—
481C2×C22⋊Q8—31no—
482C2×C22⋊Q8—31no—
483C2×C22⋊Q8—31no—
484C2×C22⋊Q8C2×D311yescharacteristic
485C2×C22⋊Q8C2×D311yescharacteristic
486C2×#121—31no—
487C2×#121—31no—
488C2×#121—31no—
489C2×C4×Q8—31no—
490C2×C4×Q8—31no—
491C2×C4×D4—31no—
492C2×C4×D4—31no—
493C2×C4×D4—31no—
494C2×C4×D4—31no—
495C2×C4×D4—31no—
496C2×#117—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#399—31no—
506#399—31no—
507#399—31no—
508#399—31no—
509#399C2×D311yescharacteristic
510#398—31no—
511#398—31no—
512#398—31no—
513#398—31no—
514#398—31no—
515#398—31no—
516#398C2×D311yescharacteristic
517#398C2×D311yescharacteristic
518#397—31no—
519#397—31no—
520#397—31no—
521#397—31no—
522#396—31no—
523#396—31no—
524#396—31no—
525#396—31no—
526#395—31no—
527#395—31no—
528#395—31no—
529#395—31no—
530#395—31no—
531#395—31no—
532#395C2×D311yescharacteristic
533#395C2×D311yescharacteristic
534#394—31no—
535#394—31no—
536#394—31no—
537#394—31no—
538#393—31no—
539#393—31no—
540#393—31no—
541#393C2×D311yescharacteristic
542#391—31no—
543#391—31no—
544#391—31no—
545#391—31no—
546#391—31no—
547#390—31no—
548#389—31no—
549#389—31no—
550#389—31no—
551#389—31no—
552#388—31no—
553#388—31no—
554#388—31no—
555#388—31no—
556#388—31no—
557#388—31no—
558#388—31no—
559#388—31no—
560#388C2×D311yescharacteristic
561#388C2×D311yescharacteristic
562#387—31no—
563#387—31no—
564#387—31no—
565#387—31no—
566#387—31no—
567#387—31no—
568#387—31no—
569#387—31no—
570#387C2×D311yescharacteristic
571#387C2×D311yescharacteristic
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#385—31no—
583#385—31no—
584#385—31no—
585#385—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#382—31no—
597C4×C4⋊C4—31no—
598C4×C22⋊C4—31no—
599C4×C22⋊C4—31no—
600#376—31no—
601C24×C3C2411yescharacteristic
602C23×D3C2411yescharacteristic
603C23×D3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C2×C3×Q8—22no—
606C2×C3×Q8—22no—
607C2×C3×Q8—22no—
608C2×C3×Q8—22no—
609C2×C3×Q8—22no—
610C2×C3×Q8—22no—
611C2×C3×Q8—41no—
612C2×C3×Q8—41no—
613C2×C3×Q8—41no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—41no—
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
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
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—41no—
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653D3×Q8—416no—
654D3×Q8—416no—
655D3×Q8—416no—
656#235—416no—
657C2×D12—22no—
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—22no—
661C2×D12—22no—
662C2×D12—22no—
663C2×D12—22no—
664C2×D12—41no—
665C2×D12C2×D414yes—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3C2×D414yes—
698C2×C4×D3C2×D414yes—
699C2×Dic6—22no—
700C2×Dic6—22no—
701C2×Dic6—22no—
702C2×Dic6—22no—
703C2×Dic6—22no—
704C2×Dic6—22no—
705C2×Dic6—22no—
706C2×Dic6—22no—
707C2×Dic6—22no—
708C2×Dic6—22no—
709C2×Dic6—22no—
710C2×Dic6—22no—
711C2×Dic6—22no—
712C2×Dic6—22no—
713C2×Dic6—22no—
714C2×Dic6—22no—
715C2×Dic6—22no—
716C2×Dic6—22no—
717C2×Dic6—22no—
718C2×Dic6—41no—
719C2×Dic6—41no—
720C2×Dic6—41no—
721C2×Dic6C2×D414yes—
722C2×Dic6C2×D414yes—
723C3×C4⋊C4—22no—
724C3×C4⋊C4—22no—
725C3×C4⋊C4—22no—
726C3×C4⋊C4—22no—
727C3×C4⋊C4—22no—
728C3×C4⋊C4—22no—
729C3×C4⋊C4—22no—
730C3×C4⋊C4—22no—
731C3×C4⋊C4—22no—
732C3×C4⋊C4—22no—
733C3×C4⋊C4—41no—
734C3×C4⋊C4C2×D414yes—
735C3×C4⋊C4C2×D414yes—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—41no—
742C3×C42—22no—
743C3×C42—22no—
744#217—22no—
745#217—22no—
746#217—22no—
747#217—22no—
748#217—41no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4C2×D414yes—
773(C2×D3)⋊C4C2×D414yes—
774C4⋊Dic3—22no—
775C4⋊Dic3—22no—
776C4⋊Dic3—22no—
777C4⋊Dic3—22no—
778C4⋊Dic3—22no—
779C4⋊Dic3—22no—
780C4⋊Dic3—22no—
781C4⋊Dic3—41no—
782C4⋊Dic3C2×D414yes—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—22no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4C2×D414yes—
805Dic3⋊C4C2×D414yes—
806C4×Dic3—22no—
807C4×Dic3—22no—
808C4×Dic3—22no—
809C4×Dic3—22no—
810C4×Dic3—22no—
811C4×Dic3—22no—
812C4×Dic3—22no—
813C4×Dic3C2×D414yes—
814C4×Dic3C2×D414yes—
815C2×#41—64no—
816C2×#41—64no—
817C2×#41—122no—
818C22×Q8—31no—
819C22×Q8—31no—
820C22×Q8—31no—
821C22×Q8—31no—
822C22×Q8—31no—
823C22×Q8—31no—
824C22×Q8—31no—
825C22×Q8—31no—
826C22×Q8—64no—
827C22×Q8—64no—
828C22×Q8—64no—
829C22×Q8—64no—
830C22×Q8—64no—
831C22×Q8—64no—
832C22×Q8—122no—
833C22×Q8—122no—
834C22×Q8—122no—
835C22×Q8C22×D311yescharacteristic
836C22×Q8C22×D311yescharacteristic
837C22×Q8C22×D311yescharacteristic
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4—31no—
848C23×C4—31no—
849C23×C4—31no—
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—31no—
855C23×C4C22×D311yescharacteristic
856C4⋊Q8—24no—
857C4⋊Q8—24no—
858C4⋊Q8—38no—
859C4⋊Q8—64no—
860C4⋊Q8—64no—
861C4⋊Q8—64no—
862C4⋊Q8—64no—
863C4⋊Q8—64no—
864C4⋊Q8—64no—
865C4⋊Q8—64no—
866C4⋊Q8—64no—
867C4⋊Q8—64no—
868C4⋊Q8—122no—
869#124—64no—
870#124—64no—
871#124—64no—
872#124—64no—
873#124—64no—
874#124—122no—
875#123—64no—
876#123—64no—
877#123—64no—
878#123—64no—
879C22⋊Q8—24no—
880C22⋊Q8—24no—
881C22⋊Q8—64no—
882C22⋊Q8—64no—
883C22⋊Q8—64no—
884C22⋊Q8—64no—
885C22⋊Q8—64no—
886C22⋊Q8—64no—
887C22⋊Q8—64no—
888C22⋊Q8—64no—
889C22⋊Q8—64no—
890C22⋊Q8—64no—
891C22⋊Q8—64no—
892#121—64no—
893#121—64no—
894#121—64no—
895C4×Q8—64no—
896C4×Q8—64no—
897C4×D4—38no—
898C4×D4—64no—
899C4×D4—64no—
900C4×D4—64no—
901C4×D4—64no—
902#117—64no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4—31no—
931C2×C4⋊C4—31no—
932C2×C4⋊C4—31no—
933C2×C4⋊C4—31no—
934C2×C4⋊C4—31no—
935C2×C4⋊C4—64no—
936C2×C4⋊C4—64no—
937C2×C4⋊C4—64no—
938C2×C4⋊C4—64no—
939C2×C4⋊C4C22×D311yescharacteristic
940C2×C4⋊C4C22×D311yescharacteristic
941C2×C4⋊C4C22×D311yescharacteristic
942C2×C4⋊C4C22×D311yescharacteristic
943C2×C4⋊C4C22×D311yescharacteristic
944C2×C4⋊C4C22×D311yescharacteristic
945C2×C4⋊C4C22×D311yescharacteristic
946C2×C4⋊C4C22×D311yescharacteristic
947C2×C4⋊C4C22×D311yescharacteristic
948C2×C4⋊C4C22×D311yescharacteristic
949C2×C4⋊C4C22×D311yescharacteristic
950C2×C4⋊C4C22×D311yescharacteristic
951C2×C4⋊C4C22×D311yescharacteristic
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C42—31no—
989C2×C42—31no—
990C2×C42—31no—
991C2×C42—31no—
992C2×C42—31no—
993C2×C42—31no—
994C2×C42—31no—
995C2×C42—31no—
996C2×C42—31no—
997C2×C42—64no—
998C2×C42C22×D311yescharacteristic
999C2×C42C22×D311yescharacteristic
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95C22×D311yescharacteristic
1025#95C22×D311yescharacteristic
1026#95C22×D311yescharacteristic
1027#95C22×D311yescharacteristic
1028#95C22×D311yescharacteristic
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032#95C22×D311yescharacteristic
1033#95C22×D311yescharacteristic
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3C2511yescharacteristic
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3C22×D412yes—
1060C22×D3C22×D412yes—
1061C22×D32−1+412yes—
1062C22×D32−1+412yes—
1063C3×Q8—44no—
1064C3×Q8—44no—
1065C3×Q8—44no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—44no—
1102C2×C3×C4C22×D412yes—
1103C2×C3×C4C22×D412yes—
1104C2×C3×C4C22×D412yes—
1105C2×C3×C4C22×D412yes—
1106C2×C3×C4C22×D412yes—
1107C2×C3×C4C22×D412yes—
1108C2×C3×C42−1+412yes—
1109#67—44no—
1110#67—44no—
1111#67—44no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3C22×D412yes—
1144C2×Dic3C22×D412yes—
1145C2×Dic3C22×D412yes—
1146C2×Dic3C22×D412yes—
1147C2×Dic3C22×D412yes—
1148C2×Dic3C22×D412yes—
1149C2×Dic3H(5,𝔽2)12yes—
1150C2×Dic32−1+412yes—
1151D12—28no—
1152D12—44no—
1153D12—44no—
1154C4×D3—28no—
1155C4×D3—28no—
1156C4×D3—28no—
1157C4×D3—28no—
1158C4×D3—44no—
1159C4×D3—44no—
1160C4×D3—44no—
1161C4×D3—44no—
1162C4×D3—44no—
1163C4×D3—44no—
1164C4×D3—44no—
1165Dic6—28no—
1166Dic6—28no—
1167Dic6—44no—
1168Dic6—44no—
1169Dic6—44no—
1170Dic6—44no—
1171Dic6—44no—
1172Dic6—44no—
1173C24—31no—
1174C24—31no—
1175C24—31no—
1176C24C23×D311yescharacteristic
1177#41—1216no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—34no—
1185C2×Q8—34no—
1186C2×Q8—41no—
1187C2×Q8—41no—
1188C2×Q8—41no—
1189C2×Q8—62no—
1190C2×Q8—62no—
1191C2×Q8—62no—
1192C2×Q8—62no—
1193C2×Q8—62no—
1194C2×Q8—62no—
1195C2×Q8—62no—
1196C2×Q8—62no—
1197C2×Q8—62no—
1198C2×Q8—62no—
1199C2×Q8—62no—
1200C2×Q8—62no—
1201C2×Q8—62no—
1202C2×Q8—62no—
1203C2×Q8—62no—
1204C2×Q8—62no—
1205C2×Q8—62no—
1206C2×Q8—62no—
1207C2×Q8—62no—
1208C2×Q8—121no—
1209C2×Q8—121no—
1210C2×Q8—121no—
1211C2×Q8—1216no—
1212C2×Q8—1216no—
1213C2×Q8—1216no—
1214C2×D4—34no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—62no—
1221C2×D4—62no—
1222C2×D4—62no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4—62no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—121no—
1231C2×D4—121no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—31no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—34no—
1241C22×C4—34no—
1242C22×C4—31no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—31no—
1249C22×C4—41no—
1250C22×C4—62no—
1251C22×C4—62no—
1252C22×C4—62no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—62no—
1257C22×C4—62no—
1258C22×C4—62no—
1259C22×C4—62no—
1260C22×C4—62no—
1261C22×C4—62no—
1262C22×C4—62no—
1263C22×C4—62no—
1264C22×C4—62no—
1265C22×C4—62no—
1266C22×C4—62no—
1267C22×C4—62no—
1268C22×C4—62no—
1269C22×C4—62no—
1270C22×C4—62no—
1271C22×C4—62no—
1272C22×C4—62no—
1273C22×C4—62no—
1274C22×C4—121no—
1275C22×C4—121no—
1276C22×C4—121no—
1277C22×C4—121no—
1278C22×C4—121no—
1279C22×C4—121no—
1280C22×C4—121no—
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C22×C4C23×D311yescharacteristic
1288C22×C4C23×D311yescharacteristic
1289C22×C4C23×D311yescharacteristic
1290C22×C4C23×D311yescharacteristic
1291C22×C4C23×D311yescharacteristic
1292C22×C4C23×D311yescharacteristic
1293C22×C4C23×D311yescharacteristic
1294C22×C4C23×D311yescharacteristic
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—34no—
1306C4⋊C4—34no—
1307C4⋊C4—34no—
1308C4⋊C4—41no—
1309C4⋊C4—62no—
1310C4⋊C4—62no—
1311C4⋊C4—62no—
1312C4⋊C4—62no—
1313C4⋊C4—62no—
1314C4⋊C4—62no—
1315C4⋊C4—62no—
1316C4⋊C4—62no—
1317C4⋊C4—62no—
1318C4⋊C4—62no—
1319C4⋊C4—62no—
1320C4⋊C4—62no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—62no—
1325C4⋊C4—62no—
1326C4⋊C4—62no—
1327C4⋊C4—62no—
1328C4⋊C4—62no—
1329C4⋊C4—62no—
1330C4⋊C4—62no—
1331C4⋊C4—62no—
1332C4⋊C4—62no—
1333C4⋊C4—62no—
1334C4⋊C4—62no—
1335C4⋊C4—121no—
1336C4⋊C4—121no—
1337C4⋊C4—121no—
1338C4⋊C4D3×D414yes—
1339C4⋊C4D3×D414yes—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—34no—
1346C22⋊C4—34no—
1347C22⋊C4—41no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—62no—
1355C22⋊C4—62no—
1356C22⋊C4—62no—
1357C22⋊C4—62no—
1358C22⋊C4—62no—
1359C22⋊C4—62no—
1360C22⋊C4—62no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
1373C22⋊C4—121no—
1374C22⋊C4—121no—
1375C22⋊C4—121no—
1376C42—22no—
1377C42—22no—
1378C42—34no—
1379C42—34no—
1380C42—62no—
1381C42—62no—
1382C42—62no—
1383C42—62no—
1384C42—62no—
1385C42—62no—
1386C42—62no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3C23×D411yescharacteristic
1395C22×C3C23×D411yescharacteristic
1396C22×C3C2×H(5,𝔽2)11yescharacteristic
1397C22×C3C2×2−1+411yescharacteristic
1398C22×C3C2×2−1+411yescharacteristic
1399C22×C3C2×2−1+411yescharacteristic
1400C22×C3C2×2−1+411yescharacteristic
1401C2×D3—22no—
1402C2×D3—22no—
1403C2×D3—22no—
1404C2×D3—22no—
1405C2×D3—22no—
1406C2×D3—22no—
1407C2×D3—22no—
1408C2×D3—22no—
1409C2×D3—22no—
1410C2×D3—41no—
1411C2×D3—41no—
1412C2×D3—41no—
1413C2×D3—41no—
1414C2×D3—41no—
1415C2×D3—41no—
1416C2×D3—41no—
1417C2×D3—41no—
1418C2×D3—41no—
1419C2×D3—41no—
1420C2×D3—41no—
1421C2×D3#53614yescomplemented
1422C3×C4—22no—
1423C3×C4—22no—
1424C3×C4—22no—
1425C3×C4—22no—
1426C3×C4—22no—
1427C3×C4—22no—
1428C3×C4—22no—
1429C3×C4—41no—
1430C3×C4—41no—
1431C3×C4—41no—
1432C3×C4—41no—
1433C3×C4—41no—
1434C3×C4—41no—
1435C3×C4—41no—
1436Dic3—22no—
1437Dic3—22no—
1438Dic3—22no—
1439Dic3—22no—
1440Dic3—22no—
1441Dic3—41no—
1442Dic3—41no—
1443Dic3—41no—
1444Dic3—41no—
1445Dic3—41no—
1446Dic3—41no—
1447Dic3—41no—
1448Dic3D4214yes—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—32no—
1457C23—32no—
1458C23—32no—
1459C23—32no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—61no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
1476C23—61no—
1477C23C24×D311yescharacteristic
1478Q8—44no—
1479Q8—44no—
1480Q8—44no—
1481Q8—68no—
1482Q8—68no—
1483Q8—124no—
1484Q8—124no—
1485Q8—124no—
1486Q8—124no—
1487Q8—124no—
1488Q8—124no—
1489D4—68no—
1490D4—124no—
1491D4—124no—
1492D4—124no—
1493D4—124no—
1494D4—124no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—32no—
1531C2×C4—32no—
1532C2×C4—32no—
1533C2×C4—32no—
1534C2×C4—32no—
1535C2×C4—32no—
1536C2×C4—32no—
1537C2×C4—32no—
1538C2×C4—44no—
1539C2×C4—68no—
1540C2×C4—68no—
1541C2×C4—68no—
1542C2×C4—68no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—124no—
1575C2×C4—124no—
1576C2×C4—124no—
1577C2×C4—124no—
1578C2×C4—124no—
1579C2×C4—124no—
1580C2×C4—124no—
1581C2×C4C2×D3×D412yes—
1582C2×C4C2×D3×D412yes—
1583C2×C4C2×D3×D412yes—
1584C2×C4C2×D3×D412yes—
1585C2×C4C2×D3×D412yes—
1586C2×C4C2×D3×D412yes—
1587C2×C4#100712yes—
1588C2×C3—81no—
1589C2×C3C2×#53611yescharacteristic
1590C2×C3C2×D4211yescharacteristic
1591C2×C3#348611yescharacteristic
1592C2×C3#348611yescharacteristic
1593C2×C3#349911yescharacteristic
1594C2×C3#355211yescharacteristic
1595C2×C3#355211yescharacteristic
1596D3—24no—
1597D3—42no—
1598D3—81no—
1599C22—34no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—62no—
1608C22—62no—
1609C22—62no—
1610C22—62no—
1611C22—62no—
1612C22—62no—
1613C22—62no—
1614C22—62no—
1615C22—62no—
1616C22—121no—
1617C22—121no—
1618C22—121no—
1619C22—121no—
1620C22—121no—
1621C22—121no—
1622C22—121no—
1623C22—121no—
1624C22—121no—
1625C22—121no—
1626C22—121no—
1627C22C22×D3×D411yescharacteristic
1628C22C22×D3×D411yescharacteristic
1629C22C2×#100711yescharacteristic
1630C22D3×H(5,𝔽2)11yescharacteristic
1631C22D3×2−1+411yescharacteristic
1632C22D3×2−1+411yescharacteristic
1633C22D3×2−1+411yescharacteristic
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—34no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—62no—
1650C4—62no—
1651C4—62no—
1652C4—62no—
1653C4—62no—
1654C4—121no—
1655C4—121no—
1656C4—121no—
1657C4—121no—
1658C4—121no—
1659C4—121no—
1660C4—121no—
1661C3#3767511yescharacteristic, complemented, Sylow
1662C2—64no—
1663C2—81no—
1664C2—122no—
1665C2—241no—
1666C2D3×#53611yescharacteristic
1667C2#8635511yescharacteristic
1668C2#8660211yescharacteristic
1669C2D3×D4211yescharacteristic
1670C2#8674611yescharacteristic
1671C2#8675911yescharacteristic
1672C2#8713211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2677C2
prime radicalC2×#5633C2
hypercenter#2677D3
hypocenterC3#37675
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2677

Complements

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

NH ≅ G/Ntype
1. C2×#5727C2semidirect
2. C2×D3×C4⋊Q8C2semidirect
4. C2×#5628C2semidirect
5. C3×#2677C2semidirect
6. #83266C2semidirect
7. #83265C2semidirect
8. #82817C2semidirect
9. #82791C2semidirect
10. #78103C2semidirect
11. #78057C2semidirect
12. #77952C2semidirect
13. #77951C2semidirect
14. #77818C2semidirect
15. #77785C2semidirect
16. #77260C2semidirect
17. #77252C2semidirect
18. #77173C2semidirect
19. #77173C2semidirect
20. #76874C2semidirect
21. #76781C2semidirect
22. #75957C2semidirect
23. #75915C2semidirect
24. #75848C2semidirect
25. #75593C2semidirect
26. #75390C2semidirect
27. #75319C2semidirect
28. #74948C2semidirect
29. #74937C2semidirect
30. #74609C2semidirect
31. #74411C2semidirect
200. #2677D3semidirect
393. #888D4semidirect
1421. C2×D3#536semidirect
1661. C3#37675semidirect

Maximal subgroups

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

subgroupindex
C2×#57272
C2×D3×C4⋊Q82
C2×#56332
C2×#56282
C3×#26772
#832662
#832652
#828172
#827912
#781032
#780572
#779522
#779512
#778182
#777852
#772602
#772522
#771732
#768742
#767812
#759572
#759152
#758482
#755932
#753902
#753192
#749482
#749372
#746092
#744112
#376753