Finite Group Databasebeta

← #11235384

Subgroups — #11235384

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
1C22×#946C211yesmaximal, characteristic, complemented
2C2×#5647C211yesmaximal, characteristic, complemented
3C3×#2409C211yesmaximal, characteristic, complemented
4#84066C211yesmaximal, characteristic, complemented
5#82829C211yesmaximal, characteristic, complemented
6#82807C211yesmaximal, characteristic, complemented
7#82792C211yesmaximal, characteristic, complemented
8#82407C211yesmaximal, characteristic, complemented
9#82356C211yesmaximal, characteristic, complemented
10#77274C211yesmaximal, characteristic, complemented
11#77259C211yesmaximal, characteristic, complemented
12#77216C211yesmaximal, characteristic, complemented
13#77215C211yesmaximal, characteristic, complemented
14#76879C211yesmaximal, characteristic, complemented
15#76853C211yesmaximal, characteristic, complemented
16#76826C211yesmaximal, characteristic, complemented
17#76822C211yesmaximal, characteristic, complemented
18#76646C211yesmaximal, characteristic, complemented
19#76617C211yesmaximal, characteristic, complemented
20#76571C211yesmaximal, characteristic, complemented
21#76564C211yesmaximal, characteristic, complemented
22#74935C211yesmaximal, characteristic, complemented
23#74727C211yesmaximal, characteristic, complemented
24#74704C211yesmaximal, characteristic, complemented
25#74692C211yesmaximal, characteristic, complemented
26#74656C211yesmaximal, characteristic, complemented
27#74605C211yesmaximal, characteristic, complemented
28#74440C211yesmaximal, characteristic, complemented
29#74422C211yesmaximal, characteristic, complemented
30#74021C211yesmaximal, characteristic, complemented
31#73889C211yesmaximal, characteristic, complemented
32#45445—31nomaximal, Sylow
33C23×C3×Q8C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic, complemented
36C2×C3×C22⋊Q8C2211yescharacteristic, complemented
37C2×C3×C4×D4C2211yescharacteristic
38C2×#947C2211yescharacteristic, complemented
39C2×#947C2211yescharacteristic, complemented
40C2×#946—28no—
41C2×#946C2211yescharacteristic
42C2×#946C2211yescharacteristic
43C2×#946C2211yescharacteristic
44C2×#946C2211yescharacteristic
45C2×#946C2211yescharacteristic
46C2×#946C2211yescharacteristic
47C2×#946C2211yescharacteristic
48C2×#946C2211yescharacteristic
49C2×#939C2211yescharacteristic
50C2×#939C2211yescharacteristic
51C2×#937C2211yescharacteristic
52C2×#930C2211yescharacteristic
53C2×#930C2211yescharacteristic
54C2×#929C2211yescharacteristic, complemented
55C22×(C2×D3)⋊C4C2211yescharacteristic
56C22×(C2×D3)⋊C4C2211yescharacteristic
57C22×C4⋊Dic3C2211yescharacteristic
58C22×Dic3⋊C4C2211yescharacteristic
59C22×Dic3⋊C4C2211yescharacteristic
60#5647—28no—
61C2×#897C2211yescharacteristic, complemented
62C2×#896C2211yescharacteristic, complemented
63C2×#895C2211yescharacteristic
64C2×#894C2211yescharacteristic
65C2×#894C2211yescharacteristic
66C2×#894C2211yescharacteristic
67C2×#889C2211yescharacteristic, complemented
68C2×#885C2211yescharacteristic
69C2×#884C2211yescharacteristic
70C2×#884C2211yescharacteristic
71C2×#884C2211yescharacteristic, complemented
72C2×#883C2211yescharacteristic, complemented
73C2×#882C2211yescharacteristic
74C2×#882C2211yescharacteristic
75C2×#67⋊C4C2211yescharacteristic
76C2×#67⋊C4C2211yescharacteristic
77C2×#878C2211yescharacteristic
78C3×#395C2211yescharacteristic, complemented
79C3×#395C2211yescharacteristic, complemented
80C3×#393C2211yescharacteristic, complemented
81C3×#393C2211yescharacteristic, complemented
82C3×#391C2211yescharacteristic, complemented
83C3×#391C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic
85C3×#386C2211yescharacteristic
86C3×#385C2211yescharacteristic
87C3×#385C2211yescharacteristic
88C3×#380C2211yescharacteristic
89#5231C2211yescharacteristic, complemented
90#5231C2211yescharacteristic, complemented
91#5231C2211yescharacteristic, complemented
92#5231C2211yescharacteristic, complemented
93#5229C2211yescharacteristic, complemented
94#5229C2211yescharacteristic, complemented
95#5220C2211yescharacteristic
96#5213C2211yescharacteristic
97#5213C2211yescharacteristic
98#5213C2211yescharacteristic
99#5213C2211yescharacteristic
100#5213C2211yescharacteristic
101#5210C2211yescharacteristic, complemented
102C4×#217C2211yescharacteristic
103#4994C2211yescharacteristic
104#4994C2211yescharacteristic
105#4994C2211yescharacteristic, complemented
106#4994C2211yescharacteristic, complemented
107#4993C2211yescharacteristic
108#4993C2211yescharacteristic, complemented
109#4991C2211yescharacteristic
110#4991C2211yescharacteristic
111#4991C2211yescharacteristic
112#4990C2211yescharacteristic
113#4989C2211yescharacteristic
114#4989C2211yescharacteristic
115#4988C2211yescharacteristic
116#4984C2211yescharacteristic, complemented
117#4983C2211yescharacteristic, complemented
118#4983C2211yescharacteristic, complemented
119#4983C2211yescharacteristic, complemented
120#4982C2211yescharacteristic, complemented
121#4981C2211yescharacteristic, complemented
122#4976C2211yescharacteristic, complemented
123#4976C2211yescharacteristic, complemented
124#4961C2211yescharacteristic
125#4961C2211yescharacteristic
126#4961C2211yescharacteristic, complemented
127#4960C2211yescharacteristic
128#4959C2211yescharacteristic
129#4959C2211yescharacteristic, complemented
130#4959C2211yescharacteristic, complemented
131#4958C2211yescharacteristic
132#4958C2211yescharacteristic
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic, complemented
135#4956C2211yescharacteristic
136#4956C2211yescharacteristic
137#4955C2211yescharacteristic
138#4952C2211yescharacteristic, complemented
139#4951C2211yescharacteristic, complemented
140#4950C2211yescharacteristic
141#4949C2211yescharacteristic, complemented
142#4948C2211yescharacteristic, complemented
143#4946C2211yescharacteristic
144#4946C2211yescharacteristic
145#4942C2211yescharacteristic
146#4940C2211yescharacteristic
147#4940C2211yescharacteristic, complemented
148#4939C2211yescharacteristic
149#4933C2211yescharacteristic, complemented
150#4677C2211yescharacteristic, complemented
151#4676C2211yescharacteristic, complemented
152#4676C2211yescharacteristic, complemented
153#4675C2211yescharacteristic
154#4675C2211yescharacteristic
155#4674C2211yescharacteristic, complemented
156#4673C2211yescharacteristic
157#4672C2211yescharacteristic
158#4672C2211yescharacteristic
159#4672C2211yescharacteristic, complemented
160#4671C2211yescharacteristic
161#4670C2211yescharacteristic
162#4670C2211yescharacteristic
163#4669C2211yescharacteristic
164#4669C2211yescharacteristic
165#4668C2211yescharacteristic, complemented
166#4668C2211yescharacteristic, complemented
167#4667C2211yescharacteristic
168#4667C2211yescharacteristic
169#4667C2211yescharacteristic, complemented
170#4667C2211yescharacteristic, complemented
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4664C2211yescharacteristic
178#4664C2211yescharacteristic
179#4658C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, 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#2700—31no—
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#2409D311yescharacteristic, complemented
220#2378—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8—24no—
223C22×C3×Q8—42no—
224C22×C3×Q8—42no—
225C22×C3×Q8C2311yescharacteristic
226C22×C3×Q8C2311yescharacteristic
227C22×C3×Q8C2311yescharacteristic
228C22×C3×Q8C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×C4×D3—24no—
249C22×C4×D3—42no—
250C22×C4×D3—42no—
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×Dic6C2311yescharacteristic
258C3×C22⋊Q8—24no—
259C3×C22⋊Q8—42no—
260C3×C4×D4—42no—
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊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×C42C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283#947—24no—
284#947—42no—
285#946—24no—
286#946—24no—
287#946—24no—
288#946—24no—
289#946—24no—
290#946—24no—
291#946—24no—
292#946D418yescomplemented
293#939—42no—
294#939—42no—
295#937—42no—
296#930—24no—
297#930—42no—
298#929—24no—
299C2×(C2×D3)⋊C4—24no—
300C2×(C2×D3)⋊C4—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×(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×C4⋊Dic3—24no—
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×Dic3⋊C4—24no—
347C2×Dic3⋊C4—24no—
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×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#895—24no—
375#894—24no—
376#894—24no—
377#894—42no—
378#889—24no—
379#885—24no—
380#884—24no—
381#884—24no—
382#884—42no—
383#883—24no—
384#882—42no—
385#882—42no—
386#67⋊C4—42no—
387#67⋊C4—42no—
388#878—42no—
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×Q8C2×D311yescharacteristic
424C24×C4—31no—
425#562—68no—
426C2×#125—31no—
427C2×#124—31no—
428C2×#124—31no—
429C2×#124—31no—
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—68no—
447C2×C22⋊Q8C2×D311yescharacteristic, complemented
448C2×C22⋊Q8C2×D311yescharacteristic, complemented
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×D4C2×D311yescharacteristic
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#397—31no—
484#397—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#395—31no—
493#395C2×D311yescharacteristic, complemented
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#394—31no—
507#393—31no—
508#393—31no—
509#393—31no—
510#393—31no—
511#393—31no—
512#393C2×D311yescharacteristic, complemented
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#388—31no—
536#388—31no—
537#387—31no—
538#387—31no—
539#387—31no—
540#387—31no—
541#387—31no—
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#386C2×D311yescharacteristic
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#385C2×D311yescharacteristic
569#385C2×D311yescharacteristic
570#381—31no—
571#381—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#380—31no—
577#380C2×D311yescharacteristic
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—22no—
597C2×C3×Q8—22no—
598C2×C3×Q8—41no—
599C2×C3×Q8—41no—
600C2×C3×Q8—41no—
601C2×C3×Q8—41no—
602C2×C3×Q8—41no—
603C2×C3×Q8—41no—
604C2×C3×Q8—416no—
605C2×C3×Q8C2×D414yes—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
609C22×C3×C4—22no—
610C22×C3×C4—22no—
611C22×C3×C4—22no—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
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—22no—
643C2×#67—22no—
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×Dic3—22no—
653C22×Dic3—22no—
654C22×Dic3—22no—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—22no—
658C22×Dic3—41no—
659C22×Dic3—41no—
660C22×Dic3—41no—
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—22no—
676C2×D12—22no—
677C2×D12—22no—
678C2×D12—41no—
679C2×D12—41no—
680C2×D12—41no—
681C2×D12—41no—
682C2×D12—41no—
683C2×D12—41no—
684C2×D12—41no—
685C2×D12—41no—
686C2×D12—41no—
687C2×D12—41no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
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×C4×D3—416no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3C2×D414yes—
707C2×Dic6—22no—
708C2×Dic6—41no—
709C2×Dic6—41no—
710C3×C4⋊C4—22no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—22no—
713C3×C4⋊C4—22no—
714C3×C4⋊C4—41no—
715C3×C4⋊C4—41no—
716C3×C4⋊C4—41no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—41no—
724C3×C22⋊C4—41no—
725C3×C42—41no—
726#217—22no—
727#217—22no—
728#217—22no—
729#217—41no—
730#217—41no—
731#217—41no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
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—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
767(C2×D3)⋊C4C2×D414yes—
768C4⋊Dic3—22no—
769C4⋊Dic3—22no—
770C4⋊Dic3—22no—
771C4⋊Dic3—22no—
772C4⋊Dic3—41no—
773C4⋊Dic3—41no—
774C4⋊Dic3—41no—
775C4⋊Dic3C2×D414yes—
776Dic3⋊C4—22no—
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—41no—
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⋊C4C2×D414yes—
795Dic3⋊C4C2×D414yes—
796C4×Dic3—22no—
797C4×Dic3—41no—
798C4×Dic3—41no—
799C4×Dic3—41no—
800C25—31no—
801C22×Q8—24no—
802C22×Q8—31no—
803C22×Q8—42no—
804C22×Q8—42no—
805C22×Q8C22×D311yescharacteristic
806C22×Q8C22×D311yescharacteristic
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—64no—
831C23×C4—122no—
832C23×C4—122no—
833C23×C4C22×D311yescharacteristic
834C23×C4C22×D311yescharacteristic
835C23×C4C22×D311yescharacteristic
836C23×C4C22×D311yescharacteristic
837#125—64no—
838#124—64no—
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—42no—
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—64no—
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—42no—
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—64no—
902C2×C4⋊C4—64no—
903C2×C4⋊C4—64no—
904C2×C4⋊C4C22×D311yescharacteristic
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—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—64no—
954C2×C22⋊C4—64no—
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×C42—31no—
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#95—31no—
991#95—31no—
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×C3H(5,𝔽2)12yes—
1014C23×C3H(5,𝔽2)12yes—
1015C23×C32−1+412yes—
1016C23×C3C2511yescharacteristic
1017C22×D3—28no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
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—21no—
1043C22×D3—21no—
1044C22×D3—44no—
1045C22×D3—44no—
1046C22×D3—44no—
1047C22×D3—44no—
1048C22×D3—44no—
1049C22×D3—44no—
1050C22×D3C22×D412yes—
1051C22×D32−1+412yes—
1052C3×Q8—44no—
1053C3×Q8—44no—
1054C3×Q8—44no—
1055C3×Q8—44no—
1056C3×D4—44no—
1057C2×C3×C4—28no—
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—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—44no—
1094C2×C3×C4—44no—
1095C2×C3×C4—82no—
1096C2×C3×C4C22×D412yes—
1097C2×C3×C4C22×D412yes—
1098C2×C3×C4C22×D412yes—
1099C2×C3×C4H(5,𝔽2)12yes—
1100#67—44no—
1101#67—44no—
1102#67—82no—
1103#67—82no—
1104#67—82no—
1105#67—82no—
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—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—44no—
1140C2×Dic3—44no—
1141C2×Dic3—44no—
1142C2×Dic3C22×D412yes—
1143C2×Dic3C22×D412yes—
1144C2×Dic3C22×D412yes—
1145D12—82no—
1146D12—82no—
1147D12—82no—
1148D12—82no—
1149D12—82no—
1150C4×D3—44no—
1151C4×D3—44no—
1152C4×D3—44no—
1153C4×D3—44no—
1154C4×D3—82no—
1155C4×D3—82no—
1156Dic6—82no—
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—22no—
1174C2×Q8—22no—
1175C2×Q8—41no—
1176C2×Q8—41no—
1177C2×Q8—41no—
1178C2×Q8—41no—
1179C2×Q8—41no—
1180C2×Q8—41no—
1181C2×Q8—416no—
1182C2×Q8—62no—
1183C2×Q8—121no—
1184C2×Q8—121no—
1185C2×Q8D3×D414yes—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
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—121no—
1205C2×D4—121no—
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—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—31no—
1231C22×C4—31no—
1232C22×C4—31no—
1233C22×C4—34no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—31no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—31no—
1241C22×C4—31no—
1242C22×C4—31no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
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—62no—
1258C22×C4—62no—
1259C22×C4—62no—
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—121no—
1270C22×C4—1216no—
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—22no—
1291C4⋊C4—34no—
1292C4⋊C4—34no—
1293C4⋊C4—34no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
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—22no—
1328C22⋊C4—34no—
1329C22⋊C4—34no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
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—121no—
1352C22⋊C4—121no—
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⋊C4—121no—
1372C42—41no—
1373C42—62no—
1374C42—121no—
1375C42—121no—
1376C42—121no—
1377C22×C3—22no—
1378C22×C3—22no—
1379C22×C3—22no—
1380C22×C3—22no—
1381C22×C3—22no—
1382C22×C3—22no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3#56214yescomplemented
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—416no—
1405C2×D3—41no—
1406C2×D3—41no—
1407C2×D3—41no—
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—41no—
1427C3×C4—22no—
1428C3×C4—22no—
1429C3×C4—22no—
1430C3×C4—22no—
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—41no—
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—32no—
1464C23—32no—
1465C23—68no—
1466C23—61no—
1467C23—61no—
1468C23—61no—
1469C23—61no—
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—124no—
1493C23—124no—
1494C23—124no—
1495C23—124no—
1496C23—124no—
1497C23—124no—
1498C23#100412yes—
1499C23#100712yes—
1500C23#100912yes—
1501C23C24×D311yescharacteristic
1502Q8—44no—
1503Q8—44no—
1504Q8—44no—
1505Q8—44no—
1506Q8—242no—
1507D4—44no—
1508D4—124no—
1509D4—124no—
1510D4—242no—
1511D4—242no—
1512D4—242no—
1513D4—242no—
1514D4—242no—
1515D4—242no—
1516D4—242no—
1517D4—242no—
1518D4—242no—
1519C2×C4—28no—
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—44no—
1559C2×C4—44no—
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—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—82no—
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×C4C2×D3×D412yes—
1604C2×C4C2×D3×D412yes—
1605C2×C4C2×D3×D412yes—
1606C2×C4#100412yes—
1607C2×C3—24no—
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—42no—
1617D3—42no—
1618D3—81no—
1619D3—81no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—62no—
1634C22—62no—
1635C22—62no—
1636C22—62no—
1637C22—62no—
1638C22—62no—
1639C22—1216no—
1640C22—121no—
1641C22—121no—
1642C22—121no—
1643C22—121no—
1644C22—121no—
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#564714yescomplemented
1663C22C22×D3×D411yescharacteristic
1664C22C2×#100411yescharacteristic
1665C22C2×#100411yescharacteristic
1666C22C2×#100711yescharacteristic
1667C22C2×#100911yescharacteristic
1668C22D3×2−1+411yescharacteristic
1669C22#596811yescharacteristic
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
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—121no—
1687C4—121no—
1688C4—121no—
1689C4—121no—
1690C4—121no—
1691C4—121no—
1692C4—121no—
1693C4—121no—
1694C4—121no—
1695C3#4544511yescharacteristic, complemented, Sylow
1696C2—24no—
1697C2—81no—
1698C2—122no—
1699C2—122no—
1700C2—241no—
1701C2—241no—
1702C2#8591911yescharacteristic
1703C2C2×#564711yescharacteristic
1704C2#8635811yescharacteristic
1705C2#8671311yescharacteristic
1706C2#8673911yescharacteristic
1707C2#8675411yescharacteristic
1708C2#8675911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2409C2
hypercenter#2409D3
hypocenterC3#45445
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2409

Complements

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

NH ≅ G/Ntype
1. C22×#946C2semidirect
2. C2×#5647C2semidirect
3. C3×#2409C2semidirect
4. #84066C2semidirect
5. #82829C2semidirect
6. #82807C2semidirect
7. #82792C2semidirect
8. #82407C2semidirect
9. #82356C2semidirect
10. #77274C2semidirect
11. #77259C2semidirect
12. #77216C2semidirect
13. #77215C2semidirect
14. #76879C2semidirect
15. #76853C2semidirect
16. #76826C2semidirect
17. #76822C2semidirect
18. #76646C2semidirect
19. #76617C2semidirect
20. #76571C2semidirect
21. #76564C2semidirect
22. #74935C2semidirect
23. #74727C2semidirect
24. #74704C2semidirect
25. #74692C2semidirect
26. #74656C2semidirect
27. #74605C2semidirect
28. #74440C2semidirect
29. #74422C2semidirect
30. #74021C2semidirect
31. #73889C2semidirect
35. C2×C3×C22⋊Q8C22semidirect
36. C2×C3×C22⋊Q8C22semidirect
38. C2×#947C22semidirect
39. C2×#947C22semidirect
54. C2×#929C22semidirect
61. C2×#897C22semidirect
62. C2×#896C22semidirect
67. C2×#889C22semidirect
71. C2×#884C22semidirect
72. C2×#883C22semidirect
78. C3×#395C22semidirect
79. C3×#395C22semidirect
80. C3×#393C22semidirect
81. C3×#393C22semidirect
82. C3×#391C22semidirect
83. C3×#391C22semidirect
89. #5231C22semidirect
90. #5231C22semidirect
91. #5231C22semidirect
92. #5231C22semidirect
93. #5229C22semidirect
94. #5229C22semidirect
101. #5210C22semidirect
105. #4994C22semidirect
106. #4994C22semidirect
108. #4993C22semidirect
116. #4984C22semidirect
117. #4983C22semidirect
118. #4983C22semidirect
119. #4983C22semidirect
120. #4982C22semidirect
121. #4981C22semidirect
122. #4976C22semidirect
123. #4976C22semidirect
126. #4961C22semidirect
129. #4959C22semidirect
130. #4959C22semidirect
134. #4957C22semidirect
138. #4952C22semidirect
139. #4951C22semidirect
141. #4949C22semidirect
142. #4948C22semidirect
147. #4940C22semidirect
149. #4933C22semidirect
150. #4677C22semidirect
151. #4676C22semidirect
152. #4676C22semidirect
155. #4674C22semidirect
159. #4672C22semidirect
165. #4668C22semidirect
166. #4668C22semidirect
169. #4667C22semidirect
170. #4667C22semidirect
179. #4658C22semidirect
180. #4657C22semidirect
181. #4657C22semidirect
182. #4657C22semidirect
183. #4656C22semidirect
184. #4654C22semidirect
185. #4653C22semidirect
186. #4653C22semidirect
187. #4652C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
219. #2409D3semidirect
292. #946D4semidirect
447. C2×C22⋊Q8C2×D3semidirect
448. C2×C22⋊Q8C2×D3semidirect
493. #395C2×D3semidirect
494. #395C2×D3semidirect
512. #393C2×D3semidirect
513. #393C2×D3semidirect
519. #391C2×D3semidirect
520. #391C2×D3semidirect
1390. C22×C3#562semidirect
1662. C22#5647semidirect
1695. C3#45445semidirect

Maximal subgroups

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

subgroupindex
C22×#9462
C2×#56472
C3×#24092
#840662
#828292
#828072
#827922
#824072
#823562
#772742
#772592
#772162
#772152
#768792
#768532
#768262
#768222
#766462
#766172
#765712
#765642
#749352
#747272
#747042
#746922
#746562
#746052
#744402
#744222
#740212
#738892
#454453