Finite Group Databasebeta

← #11235383

Subgroups — #11235383

Order 768.

2538 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5684C211yesmaximal, characteristic, complemented
2C2×D3×C22⋊Q8C211yesmaximal, characteristic, complemented
3C3×#2700C211yesmaximal, characteristic, complemented
4#82965C211yesmaximal, characteristic, complemented
5#82826C211yesmaximal, characteristic, complemented
6#77727C211yesmaximal, characteristic, complemented
7#77673C211yesmaximal, characteristic, complemented
8#77669C211yesmaximal, characteristic, complemented
9#77577C211yesmaximal, characteristic, complemented
10#77372C211yesmaximal, characteristic, complemented
11#77284C211yesmaximal, characteristic, complemented
12#77252C211yesmaximal, characteristic, complemented
13#77215C211yesmaximal, characteristic, complemented
14#77114C211yesmaximal, characteristic, complemented
15#77086C211yesmaximal, characteristic, complemented
16#76822C211yesmaximal, characteristic, complemented
17#76780C211yesmaximal, characteristic, complemented
18#76621C211yesmaximal, characteristic, complemented
19#76566C211yesmaximal, characteristic, complemented
20#76564C211yesmaximal, characteristic, complemented
21#76500C211yesmaximal, characteristic, complemented
22#75848C211yesmaximal, characteristic, complemented
23#75846C211yesmaximal, characteristic, complemented
24#75669C211yesmaximal, characteristic, complemented
25#75491C211yesmaximal, characteristic, complemented
26#75399C211yesmaximal, characteristic, complemented
27#75008C211yesmaximal, characteristic, complemented
28#74935C211yesmaximal, characteristic, complemented
29#74794C211yesmaximal, characteristic, complemented
30#74146C211yesmaximal, characteristic, complemented
31#74094C211yesmaximal, characteristic, complemented
32#45445—31nomaximal, Sylow
33C22×D3×Q8C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#124C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic
37C2×#947C2211yescharacteristic, complemented
38C2×#946C2211yescharacteristic
39C2×#946C2211yescharacteristic
40C2×#946C2211yescharacteristic, complemented
41C2×#946C2211yescharacteristic, complemented
42C2×#939C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#929C2211yescharacteristic
46C2×#924C2211yescharacteristic
47#5684—28no—
48D3×C22⋊Q8—28no—
49C2×#897C2211yescharacteristic
50C2×#896C2211yescharacteristic
51C2×#896C2211yescharacteristic
52C2×#895C2211yescharacteristic
53C2×#893C2211yescharacteristic
54C2×D3×C4⋊C4C2211yescharacteristic
55C2×D3×C4⋊C4C2211yescharacteristic
56C2×D3×C4⋊C4C2211yescharacteristic
57C2×#886C2211yescharacteristic
58C2×#886C2211yescharacteristic, complemented
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#884C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#884C2211yescharacteristic, complemented
64C2×#883C2211yescharacteristic
65C2×#883C2211yescharacteristic, complemented
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×#878C2211yescharacteristic
72C2×#878C2211yescharacteristic
73C2×#878C2211yescharacteristic, complemented
74C2×#878C2211yescharacteristic, complemented
75C2×#875C2211yescharacteristic, complemented
76C2×C4×D12C2211yescharacteristic
77C2×#870C2211yescharacteristic, complemented
78C3×#397C2211yescharacteristic
79C3×#397C2211yescharacteristic, complemented
80C3×#396C2211yescharacteristic, complemented
81C3×#395C2211yescharacteristic, complemented
82C3×#394C2211yescharacteristic
83C3×#393C2211yescharacteristic, complemented
84C3×#391C2211yescharacteristic, complemented
85C3×#391C2211yescharacteristic, complemented
86C3×#388C2211yescharacteristic
87C3×#388C2211yescharacteristic, complemented
88C3×#387C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic
90C3×#381C2211yescharacteristic
91#5231C2211yescharacteristic
92#5230C2211yescharacteristic, complemented
93#5222C2211yescharacteristic
94#5213C2211yescharacteristic
95#4994C2211yescharacteristic
96#4994C2211yescharacteristic, complemented
97#4994C2211yescharacteristic, complemented
98#4993C2211yescharacteristic
99#4993C2211yescharacteristic, complemented
100#4993C2211yescharacteristic, complemented
101#4991C2211yescharacteristic, complemented
102#4989C2211yescharacteristic
103#4989C2211yescharacteristic, complemented
104#4988C2211yescharacteristic
105#4987C2211yescharacteristic, complemented
106#4982C2211yescharacteristic, complemented
107#4982C2211yescharacteristic, complemented
108#4976C2211yescharacteristic, complemented
109#4976C2211yescharacteristic, complemented
110#4973C2211yescharacteristic, complemented
111#4961C2211yescharacteristic
112#4961C2211yescharacteristic
113#4961C2211yescharacteristic
114#4961C2211yescharacteristic, complemented
115#4961C2211yescharacteristic, complemented
116#4960C2211yescharacteristic
117#4959C2211yescharacteristic
118#4959C2211yescharacteristic
119#4959C2211yescharacteristic, complemented
120#4958C2211yescharacteristic
121#4957C2211yescharacteristic
122#4957C2211yescharacteristic, complemented
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic
127#4955C2211yescharacteristic
128#4952C2211yescharacteristic
129#4951C2211yescharacteristic
130#4949C2211yescharacteristic, complemented
131#4947C2211yescharacteristic, complemented
132#4946C2211yescharacteristic, complemented
133#4944C2211yescharacteristic
134#4944C2211yescharacteristic
135#4943C2211yescharacteristic
136#4942C2211yescharacteristic
137#4940C2211yescharacteristic
138#4939C2211yescharacteristic
139C4×(C2×D3)⋊C4C2211yescharacteristic
140#4933C2211yescharacteristic, complemented
141#4928C2211yescharacteristic, complemented
142#4676C2211yescharacteristic
143#4676C2211yescharacteristic, complemented
144#4676C2211yescharacteristic, complemented
145#4675C2211yescharacteristic, complemented
146#4673C2211yescharacteristic, complemented
147#4673C2211yescharacteristic, complemented
148#4673C2211yescharacteristic, complemented
149#4673C2211yescharacteristic, complemented
150#4672C2211yescharacteristic
151#4671C2211yescharacteristic
152#4670C2211yescharacteristic
153#4669C2211yescharacteristic, complemented
154#4668C2211yescharacteristic
155#4668C2211yescharacteristic
156#4668C2211yescharacteristic
157#4668C2211yescharacteristic
158#4668C2211yescharacteristic
159#4668C2211yescharacteristic
160#4668C2211yescharacteristic, complemented
161#4667C2211yescharacteristic
162#4667C2211yescharacteristic
163#4667C2211yescharacteristic
164#4667C2211yescharacteristic, complemented
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4661C2211yescharacteristic, complemented
177#4661C2211yescharacteristic, complemented
178#4660C2211yescharacteristic, complemented
179#4657C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4652C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#562—31no—
191C22×C22⋊Q8—31no—
192#2849—31no—
193#2847—31no—
194#2816—31no—
195#2814—31no—
196#2732—31no—
197#2730—31no—
198#2704—31no—
199#2700D311yescharacteristic, complemented
200#2696—31no—
201#2692—31no—
202#2692—31no—
203#2687—31no—
204#2681—31no—
205#2681—31no—
206#2676—31no—
207#2672—31no—
208#2473—31no—
209#2472—31no—
210#2449—31no—
211#2443—31no—
212#2443—31no—
213#2436—31no—
214#2424—31no—
215#2424—31no—
216#2418—31no—
217#2417—31no—
218#2416—31no—
219#2409—31no—
220#2378—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
234C2×D3×Q8—24no—
235C2×D3×Q8—42no—
236C2×D3×Q8—42no—
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×C4×D3—24no—
243C22×C4×D3—42no—
244C22×C4×D3—42no—
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×Dic6C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C22×Dic6C2311yescharacteristic
258C3×#124—24no—
259C3×C22⋊Q8—24no—
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C42C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286#947—42no—
287#946—24no—
288#946—24no—
289#946—24no—
290#946—42no—
291#939—24no—
292#939—24no—
293#937—42no—
294#929—42no—
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×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336#924—24no—
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360#897—24no—
361#896—24no—
362#896—24no—
363#895—42no—
364#893—42no—
365D3×C4⋊C4—24no—
366D3×C4⋊C4—24no—
367D3×C4⋊C4—24no—
368#886—24no—
369#886—24no—
370#884—24no—
371#884—24no—
372#884—42no—
373#884—42no—
374#884—42no—
375#883—24no—
376#883—24no—
377#882—42no—
378#882—42no—
379#67⋊C4—42no—
380D3×C22⋊C4—24no—
381D3×C22⋊C4—24no—
382#878—24no—
383#878—24no—
384#878—42no—
385#878D418yescomplemented
386#875—24no—
387C4×D12—42no—
388#870—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
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C23×Q8—31no—
424C24×C4—31no—
425#562—68no—
426C2×#125—31no—
427C2×#124—31no—
428C2×#124—31no—
429C2×#124C2×D311yescharacteristic
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—68no—
448C2×C22⋊Q8C2×D311yescharacteristic
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C22×C4⋊C4—31no—
464C22×C4⋊C4—31no—
465C22×C4⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#400—31no—
469#399—31no—
470#399—31no—
471#399—31no—
472#399—31no—
473#398—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#398—31no—
479#398—31no—
480#398—31no—
481#397—31no—
482#397—31no—
483#397C2×D311yescharacteristic
484#397C2×D311yescharacteristic, complemented
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#396—31no—
491#396C2×D311yescharacteristic, complemented
492#395—31no—
493#395—31no—
494#395C2×D311yescharacteristic, complemented
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394C2×D311yescharacteristic
507#393—31no—
508#393—31no—
509#393—31no—
510#393—31no—
511#393—31no—
512#393—31no—
513#393C2×D311yescharacteristic, complemented
514#392—31no—
515#392—31no—
516#391—31no—
517#391—31no—
518#391—31no—
519#391C2×D311yescharacteristic, complemented
520#391C2×D311yescharacteristic, complemented
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#389—31no—
526#389—31no—
527#389—31no—
528#389—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388C2×D311yescharacteristic
536#388C2×D311yescharacteristic, complemented
537#387—31no—
538#387—31no—
539#387—31no—
540#387—31no—
541#387C2×D311yescharacteristic, complemented
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386C2×D311yescharacteristic
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#381—31no—
571#381C2×D311yescharacteristic
572#380—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#380—31no—
577#380—31no—
578#379—31no—
579C4×C22⋊C4—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C2×C3×Q8—22no—
594C2×C3×Q8—22no—
595C2×C3×Q8—22no—
596C2×C3×Q8—41no—
597C2×C3×Q8—41no—
598C2×C3×Q8—41no—
599C2×C3×D4—22no—
600C2×C3×D4—41no—
601C2×C3×D4—41no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—41no—
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C22×Dic3—22no—
637C22×Dic3—41no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3C2×D414yes—
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654D3×Q8—416no—
655C2×D12—22no—
656C2×D12—22no—
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×D12—41no—
666C2×D12—41no—
667C2×D12—41no—
668C2×D12—41no—
669C2×D12—41no—
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—416no—
689C2×C4×D3—41no—
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×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×Dic6—22no—
702C2×Dic6—22no—
703C2×Dic6—22no—
704C2×Dic6—41no—
705C2×Dic6—41no—
706C2×Dic6—41no—
707C2×Dic6—41no—
708C2×Dic6—41no—
709C2×Dic6C2×D414yes—
710C3×C4⋊C4—22no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—22no—
713C3×C4⋊C4—41no—
714C3×C4⋊C4—41no—
715C3×C4⋊C4—41no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4—41no—
723C3×C22⋊C4—41no—
724C3×C22⋊C4—41no—
725C3×C22⋊C4—41no—
726C3×C22⋊C4C2×D414yes—
727C3×C42—22no—
728C3×C42—41no—
729#217—22no—
730#217—22no—
731#217—41no—
732#217—41no—
733#217—41no—
734#217—41no—
735#217C2×D414yes—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—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—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768C4⋊Dic3—22no—
769C4⋊Dic3—22no—
770C4⋊Dic3—22no—
771C4⋊Dic3—22no—
772C4⋊Dic3—22no—
773C4⋊Dic3—41no—
774C4⋊Dic3—41no—
775C4⋊Dic3—41no—
776C4⋊Dic3C2×D414yes—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790Dic3⋊C4—41no—
791Dic3⋊C4—41no—
792Dic3⋊C4—41no—
793Dic3⋊C4—41no—
794Dic3⋊C4—41no—
795Dic3⋊C4C2×D414yes—
796Dic3⋊C4C2×D414yes—
797C4×Dic3—41no—
798C4×Dic3—41no—
799C4×Dic3—41no—
800C25—31no—
801C22×Q8—31no—
802C22×Q8—31no—
803C22×Q8—31no—
804C22×Q8—64no—
805C22×Q8—122no—
806C22×Q8—122no—
807C22×Q8C22×D311yescharacteristic
808C22×Q8C22×D311yescharacteristic
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4C22×D311yescharacteristic
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—64no—
834C23×C4—122no—
835C23×C4—122no—
836C23×C4C22×D311yescharacteristic
837#125—64no—
838#124—24no—
839#124—64no—
840#124—122no—
841#123—64no—
842#123—64no—
843#123—64no—
844#123—64no—
845#123—122no—
846C22⋊Q8—24no—
847C22⋊Q8—38no—
848C22⋊Q8—64no—
849C22⋊Q8—64no—
850C22⋊Q8—64no—
851C22⋊Q8—64no—
852C22⋊Q8—64no—
853C22⋊Q8—64no—
854C22⋊Q8—64no—
855C22⋊Q8—64no—
856C22⋊Q8—64no—
857C22⋊Q8—122no—
858C22⋊Q8—122no—
859#121—64no—
860#121—64no—
861#121—64no—
862#121—64no—
863#121—122no—
864#121—122no—
865#121—122no—
866#121—122no—
867#120—122no—
868#120—122no—
869#120—122no—
870C4×D4—122no—
871C4×D4—122no—
872C4×D4—122no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—64no—
903C2×C4⋊C4—64no—
904C2×C4⋊C4—64no—
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
910C2×C4⋊C4C22×D311yescharacteristic
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—64no—
951C2×C22⋊C4—64no—
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—31no—
966C2×C42C22×D311yescharacteristic
967C2×C42C22×D311yescharacteristic
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992#95C22×D311yescharacteristic
993#95C22×D311yescharacteristic
994#95C22×D311yescharacteristic
995#95C22×D311yescharacteristic
996#95C22×D311yescharacteristic
997#95C22×D311yescharacteristic
998#95C22×D311yescharacteristic
999#95C22×D311yescharacteristic
1000#95C22×D311yescharacteristic
1001#95C22×D311yescharacteristic
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3C22×D412yes—
1016C23×C3C2511yescharacteristic
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—28no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—44no—
1043C22×D3—44no—
1044C22×D3—44no—
1045C22×D3—44no—
1046C22×D3—44no—
1047C22×D3—44no—
1048C22×D3H(5,𝔽2)12yes—
1049C22×D3H(5,𝔽2)12yes—
1050C22×D32−1+412yes—
1051C22×D32−1+412yes—
1052C3×Q8—44no—
1053C3×Q8—82no—
1054C3×D4—82no—
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—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—44no—
1092C2×C3×C4C22×D412yes—
1093C2×C3×C4C22×D412yes—
1094C2×C3×C4H(5,𝔽2)12yes—
1095#67—44no—
1096#67—82no—
1097#67—82no—
1098#67—82no—
1099#67—82no—
1100#67—82no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—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—44no—
1134C2×Dic3—82no—
1135C2×Dic3C22×D412yes—
1136C2×Dic3C22×D412yes—
1137C2×Dic3C22×D412yes—
1138C2×Dic3C22×D412yes—
1139D12—44no—
1140D12—44no—
1141D12—82no—
1142D12—82no—
1143D12—82no—
1144C4×D3—28no—
1145C4×D3—44no—
1146C4×D3—44no—
1147C4×D3—44no—
1148C4×D3—44no—
1149C4×D3—44no—
1150C4×D3—44no—
1151C4×D3—44no—
1152C4×D3—82no—
1153C4×D3—82no—
1154Dic6—44no—
1155Dic6—44no—
1156Dic6—44no—
1157C24—31no—
1158C24—31no—
1159C24—31no—
1160C24—31no—
1161C24—62no—
1162C24—62no—
1163C24—62no—
1164C24—62no—
1165C24—62no—
1166C24—121no—
1167C24—121no—
1168C24C23×D311yescharacteristic
1169C24C23×D311yescharacteristic
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—34no—
1174C2×Q8—41no—
1175C2×Q8—41no—
1176C2×Q8—41no—
1177C2×Q8—62no—
1178C2×Q8—62no—
1179C2×Q8—62no—
1180C2×Q8—121no—
1181C2×Q8—121no—
1182C2×Q8—121no—
1183C2×Q8—121no—
1184C2×Q8—121no—
1185C2×Q8—1216no—
1186C2×D4—22no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—62no—
1190C2×D4—62no—
1191C2×D4—62no—
1192C2×D4—62no—
1193C2×D4—62no—
1194C2×D4—62no—
1195C2×D4—62no—
1196C2×D4—62no—
1197C2×D4—62no—
1198C2×D4—62no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—121no—
1207C2×D4—121no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—121no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C2×D4—121no—
1217C2×D4—121no—
1218C2×D4—121no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C2×D4—121no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—31no—
1225C22×C4—31no—
1226C22×C4—31no—
1227C22×C4—31no—
1228C22×C4—34no—
1229C22×C4—31no—
1230C22×C4—31no—
1231C22×C4—31no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—31no—
1237C22×C4—41no—
1238C22×C4—62no—
1239C22×C4—62no—
1240C22×C4—62no—
1241C22×C4—62no—
1242C22×C4—62no—
1243C22×C4—62no—
1244C22×C4—62no—
1245C22×C4—62no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—62no—
1252C22×C4—62no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—62no—
1257C22×C4—121no—
1258C22×C4—121no—
1259C22×C4—121no—
1260C22×C4—121no—
1261C22×C4—121no—
1262C22×C4—121no—
1263C22×C4—121no—
1264C22×C4—121no—
1265C22×C4—121no—
1266C22×C4—121no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4—1216no—
1270C22×C4—121no—
1271C22×C4—121no—
1272C22×C4—121no—
1273C22×C4—121no—
1274C22×C4C23×D311yescharacteristic
1275C22×C4C23×D311yescharacteristic
1276C22×C4C23×D311yescharacteristic
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—34no—
1291C4⋊C4—34no—
1292C4⋊C4—34no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—62no—
1297C4⋊C4—62no—
1298C4⋊C4—62no—
1299C4⋊C4—62no—
1300C4⋊C4—62no—
1301C4⋊C4—62no—
1302C4⋊C4—62no—
1303C4⋊C4—62no—
1304C4⋊C4—62no—
1305C4⋊C4—62no—
1306C4⋊C4—62no—
1307C4⋊C4—62no—
1308C4⋊C4—62no—
1309C4⋊C4—62no—
1310C4⋊C4—121no—
1311C4⋊C4—121no—
1312C4⋊C4—121no—
1313C4⋊C4—121no—
1314C4⋊C4—121no—
1315C4⋊C4—121no—
1316C4⋊C4—121no—
1317C4⋊C4—121no—
1318C4⋊C4—121no—
1319C4⋊C4—121no—
1320C4⋊C4—121no—
1321C4⋊C4—121no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—34no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
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—121no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C22⋊C4D3×D414yes—
1372C42—22no—
1373C42—41no—
1374C42—121no—
1375C42—121no—
1376C42—121no—
1377C22×C3—22no—
1378C22×C3—22no—
1379C22×C3—22no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3C23×D411yescharacteristic
1392C22×C3C2×H(5,𝔽2)11yescharacteristic
1393C22×C3C2×H(5,𝔽2)11yescharacteristic
1394C22×C3C2×H(5,𝔽2)11yescharacteristic
1395C22×C3C2×2−1+411yescharacteristic
1396C22×C3C2×2−1+411yescharacteristic
1397C22×C3#58511yescharacteristic
1398C2×D3—22no—
1399C2×D3—22no—
1400C2×D3—22no—
1401C2×D3—22no—
1402C2×D3—22no—
1403C2×D3—22no—
1404C2×D3—22no—
1405C2×D3—22no—
1406C2×D3—22no—
1407C2×D3—416no—
1408C2×D3—41no—
1409C2×D3—41no—
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—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3#56214yescomplemented
1427C3×C4—22no—
1428C3×C4—22no—
1429C3×C4—22no—
1430C3×C4—41no—
1431C3×C4—41no—
1432C3×C4—41no—
1433C3×C4—41no—
1434C3×C4—41no—
1435C3×C4—41no—
1436C3×C4—41no—
1437C3×C4—41no—
1438C3×C4—41no—
1439C3×C4—41no—
1440Dic3—22no—
1441Dic3—22no—
1442Dic3—22no—
1443Dic3—22no—
1444Dic3—41no—
1445Dic3—41no—
1446Dic3—41no—
1447Dic3—41no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
1451Dic3—41no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—32no—
1466C23—32no—
1467C23—32no—
1468C23—32no—
1469C23—68no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—61no—
1480C23—61no—
1481C23—61no—
1482C23—61no—
1483C23—61no—
1484C23—61no—
1485C23—61no—
1486C23—61no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—124no—
1495C23—124no—
1496C23—124no—
1497C23—124no—
1498C23—124no—
1499C23—124no—
1500C23C2×D3×D412yes—
1501C23C24×D311yescharacteristic
1502Q8—44no—
1503Q8—82no—
1504Q8—124no—
1505Q8—124no—
1506Q8—124no—
1507D4—82no—
1508D4—124no—
1509D4—124no—
1510D4—124no—
1511D4—242no—
1512D4—242no—
1513D4—242no—
1514D4—242no—
1515D4—242no—
1516D4—242no—
1517D4—242no—
1518D4—242no—
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—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—32no—
1556C2×C4—32no—
1557C2×C4—32no—
1558C2×C4—32no—
1559C2×C4—44no—
1560C2×C4—68no—
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—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—124no—
1594C2×C4—124no—
1595C2×C4—124no—
1596C2×C4—124no—
1597C2×C4—124no—
1598C2×C4—124no—
1599C2×C4—124no—
1600C2×C4—124no—
1601C2×C4—242no—
1602C2×C4—242no—
1603C2×C4—242no—
1604C2×C4C2×D3×D412yes—
1605C2×C4C2×D3×D412yes—
1606C2×C4#100912yes—
1607C2×C3—42no—
1608C2×C3—81no—
1609C2×C3#348411yescharacteristic
1610C2×C3#348611yescharacteristic
1611C2×C3#348811yescharacteristic
1612C2×C3C2×#56211yescharacteristic
1613C2×C3#353511yescharacteristic
1614C2×C3#353611yescharacteristic
1615C2×C3#354111yescharacteristic
1616D3—24no—
1617D3—42no—
1618D3—81no—
1619D3—81no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—34no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—62no—
1636C22—62no—
1637C22—62no—
1638C22—62no—
1639C22—62no—
1640C22—62no—
1641C22—62no—
1642C22—62no—
1643C22—62no—
1644C22—1216no—
1645C22—121no—
1646C22—121no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22—121no—
1653C22—121no—
1654C22—121no—
1655C22—121no—
1656C22—121no—
1657C22—121no—
1658C22—121no—
1659C22—121no—
1660C22—121no—
1661C22—121no—
1662C22—121no—
1663C22C22×D3×D411yescharacteristic
1664C22C2×#100911yescharacteristic
1665C22#596411yescharacteristic
1666C22D3×H(5,𝔽2)11yescharacteristic
1667C22D3×H(5,𝔽2)11yescharacteristic
1668C22D3×2−1+411yescharacteristic
1669C22D3×2−1+411yescharacteristic
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—62no—
1684C4—62no—
1685C4—62no—
1686C4—62no—
1687C4—121no—
1688C4—121no—
1689C4—121no—
1690C4—121no—
1691C4—121no—
1692C4—121no—
1693C4—121no—
1694C4—121no—
1695C3#4544511yescharacteristic, complemented, Sylow
1696C2—42no—
1697C2—64no—
1698C2—81no—
1699C2—122no—
1700C2—241no—
1701C2—241no—
1702C2#8635511yescharacteristic
1703C2#8656011yescharacteristic
1704C2#8656111yescharacteristic
1705C2#8662911yescharacteristic
1706C2#8666211yescharacteristic
1707C2#8699411yescharacteristic
1708C2D3×#56211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2700C2
hypercenter#2700D3
hypocenterC3#45445
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2700

Complements

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

NH ≅ G/Ntype
1. C2×#5684C2semidirect
2. C2×D3×C22⋊Q8C2semidirect
3. C3×#2700C2semidirect
4. #82965C2semidirect
5. #82826C2semidirect
6. #77727C2semidirect
7. #77673C2semidirect
8. #77669C2semidirect
9. #77577C2semidirect
10. #77372C2semidirect
11. #77284C2semidirect
12. #77252C2semidirect
13. #77215C2semidirect
14. #77114C2semidirect
15. #77086C2semidirect
16. #76822C2semidirect
17. #76780C2semidirect
18. #76621C2semidirect
19. #76566C2semidirect
20. #76564C2semidirect
21. #76500C2semidirect
22. #75848C2semidirect
23. #75846C2semidirect
24. #75669C2semidirect
25. #75491C2semidirect
26. #75399C2semidirect
27. #75008C2semidirect
28. #74935C2semidirect
29. #74794C2semidirect
30. #74146C2semidirect
31. #74094C2semidirect
37. C2×#947C22semidirect
40. C2×#946C22semidirect
41. C2×#946C22semidirect
58. C2×#886C22semidirect
63. C2×#884C22semidirect
65. C2×#883C22semidirect
73. C2×#878C22semidirect
74. C2×#878C22semidirect
75. C2×#875C22semidirect
77. C2×#870C22semidirect
79. C3×#397C22semidirect
80. C3×#396C22semidirect
81. C3×#395C22semidirect
83. C3×#393C22semidirect
84. C3×#391C22semidirect
85. C3×#391C22semidirect
87. C3×#388C22semidirect
88. C3×#387C22semidirect
92. #5230C22semidirect
96. #4994C22semidirect
97. #4994C22semidirect
99. #4993C22semidirect
100. #4993C22semidirect
101. #4991C22semidirect
103. #4989C22semidirect
105. #4987C22semidirect
106. #4982C22semidirect
107. #4982C22semidirect
108. #4976C22semidirect
109. #4976C22semidirect
110. #4973C22semidirect
114. #4961C22semidirect
115. #4961C22semidirect
119. #4959C22semidirect
122. #4957C22semidirect
130. #4949C22semidirect
131. #4947C22semidirect
132. #4946C22semidirect
140. #4933C22semidirect
141. #4928C22semidirect
143. #4676C22semidirect
144. #4676C22semidirect
145. #4675C22semidirect
146. #4673C22semidirect
147. #4673C22semidirect
148. #4673C22semidirect
149. #4673C22semidirect
153. #4669C22semidirect
160. #4668C22semidirect
164. #4667C22semidirect
176. #4661C22semidirect
177. #4661C22semidirect
178. #4660C22semidirect
179. #4657C22semidirect
180. #4657C22semidirect
181. #4657C22semidirect
182. #4657C22semidirect
183. #4656C22semidirect
184. #4655C22semidirect
185. #4654C22semidirect
186. #4652C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
199. #2700D3semidirect
385. #878D4semidirect
484. #397C2×D3semidirect
491. #396C2×D3semidirect
494. #395C2×D3semidirect
513. #393C2×D3semidirect
519. #391C2×D3semidirect
520. #391C2×D3semidirect
536. #388C2×D3semidirect
541. #387C2×D3semidirect
1426. C2×D3#562semidirect
1695. C3#45445semidirect

Maximal subgroups

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

subgroupindex
C2×#56842
C2×D3×C22⋊Q82
C3×#27002
#829652
#828262
#777272
#776732
#776692
#775772
#773722
#772842
#772522
#772152
#771142
#770862
#768222
#767802
#766212
#765662
#765642
#765002
#758482
#758462
#756692
#754912
#753992
#750082
#749352
#747942
#741462
#740942
#454453