Finite Group Databasebeta

← #11069106

Subgroups — #11069106

Order 768.

2510 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5644C211yesmaximal, characteristic, complemented
2C2×#5560C211yesmaximal, characteristic, complemented
3C3×#2450C211yesmaximal, characteristic, complemented
4#82763C211yesmaximal, characteristic, complemented
5#82340C211yesmaximal, characteristic, complemented
6#78371C211yesmaximal, characteristic, complemented
7#78150C211yesmaximal, characteristic, complemented
8#77850C211yesmaximal, characteristic, complemented
9#77764C211yesmaximal, characteristic, complemented
10#77360C211yesmaximal, characteristic, complemented
11#77284C211yesmaximal, characteristic, complemented
12#76877C211yesmaximal, characteristic, complemented
13#76792C211yesmaximal, characteristic, complemented
14#76653C211yesmaximal, characteristic, complemented
15#76536C211yesmaximal, characteristic, complemented
16#75391C211yesmaximal, characteristic, complemented
17#75023C211yesmaximal, characteristic, complemented
18#74935C211yesmaximal, characteristic, complemented
19#74906C211yesmaximal, characteristic, complemented
20#74707C211yesmaximal, characteristic, complemented
21#74692C211yesmaximal, characteristic, complemented
22#74639C211yesmaximal, characteristic, complemented
23#74619C211yesmaximal, characteristic, complemented
24#74424C211yesmaximal, characteristic, complemented
25#74409C211yesmaximal, characteristic, complemented
26#74393C211yesmaximal, characteristic, complemented
27#74379C211yesmaximal, characteristic, complemented
28#74041C211yesmaximal, characteristic, complemented
29#73935C211yesmaximal, characteristic, complemented
30#73377C211yesmaximal, characteristic, complemented
31C2×#4667C211yesmaximal, characteristic, complemented
32#39349—31nomaximal, Sylow
33C23×C4×D3C2211yescharacteristic
34C2×C3×C22⋊Q8C2211yescharacteristic
35C2×C3×C4×D4C2211yescharacteristic
36C2×#947C2211yescharacteristic
37C2×#947C2211yescharacteristic
38C2×#944C2211yescharacteristic, complemented
39C2×#939C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#930C2211yescharacteristic
43C2×#930C2211yescharacteristic
44C2×#929C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic, complemented
47C22×(C2×D3)⋊C4C2211yescharacteristic
48C22×(C2×D3)⋊C4C2211yescharacteristic
49C22×Dic3⋊C4C2211yescharacteristic
50C22×Dic3⋊C4C2211yescharacteristic
51#5644—28no—
52#5560—28no—
53C2×#898C2211yescharacteristic
54C2×#898C2211yescharacteristic
55C2×#898C2211yescharacteristic
56C2×#895C2211yescharacteristic
57C2×#895C2211yescharacteristic
58C2×#894C2211yescharacteristic
59C2×#894C2211yescharacteristic
60C2×#894C2211yescharacteristic
61C2×#893C2211yescharacteristic
62C2×#893C2211yescharacteristic
63C2×D3×C4⋊C4C2211yescharacteristic, complemented
64C2×#885C2211yescharacteristic
65C2×#884C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#884C2211yescharacteristic
68C2×#884C2211yescharacteristic, complemented
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic
71C2×#67⋊C4C2211yescharacteristic
72C2×#67⋊C4C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic
74C2×#878C2211yescharacteristic
75C2×#876C2211yescharacteristic
76C2×#875C2211yescharacteristic
77C3×#400C2211yescharacteristic, complemented
78C3×#398C2211yescharacteristic, complemented
79C3×#396C2211yescharacteristic, complemented
80C3×#393C2211yescharacteristic, complemented
81C3×#391C2211yescharacteristic, complemented
82C3×#387C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic
84C3×#386C2211yescharacteristic
85C3×#385C2211yescharacteristic
86C3×#385C2211yescharacteristic
87C3×#385C2211yescharacteristic, complemented
88C3×#380C2211yescharacteristic, complemented
89C2×C3×#95C2211yescharacteristic
90#5230C2211yescharacteristic, complemented
91#5220C2211yescharacteristic
92#5213C2211yescharacteristic
93#5213C2211yescharacteristic
94#5213C2211yescharacteristic
95#5210C2211yescharacteristic
96#5210C2211yescharacteristic, complemented
97C2×C3⋊#95C2211yescharacteristic
98#4994C2211yescharacteristic, complemented
99#4992C2211yescharacteristic
100#4992C2211yescharacteristic
101#4991C2211yescharacteristic
102#4991C2211yescharacteristic
103#4989C2211yescharacteristic
104#4989C2211yescharacteristic
105#4989C2211yescharacteristic, complemented
106#4989C2211yescharacteristic, complemented
107#4987C2211yescharacteristic, complemented
108#4983C2211yescharacteristic, complemented
109#4981C2211yescharacteristic, complemented
110#4981C2211yescharacteristic, complemented
111#4979C2211yescharacteristic, complemented
112#4976C2211yescharacteristic, complemented
113#4976C2211yescharacteristic, complemented
114#4976C2211yescharacteristic, complemented
115#4976C2211yescharacteristic, complemented
116#4975C2211yescharacteristic, complemented
117#4975C2211yescharacteristic, complemented
118#4973C2211yescharacteristic, complemented
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic
121#4959C2211yescharacteristic
122#4959C2211yescharacteristic
123#4959C2211yescharacteristic, complemented
124#4959C2211yescharacteristic, complemented
125#4958C2211yescharacteristic
126#4957C2211yescharacteristic, complemented
127#4957C2211yescharacteristic, complemented
128#4956C2211yescharacteristic
129#4956C2211yescharacteristic
130#4956C2211yescharacteristic, complemented
131#4955C2211yescharacteristic
132#4952C2211yescharacteristic, complemented
133#4950C2211yescharacteristic
134#4948C2211yescharacteristic, complemented
135#4946C2211yescharacteristic
136#4945C2211yescharacteristic, complemented
137#4944C2211yescharacteristic, complemented
138#4942C2211yescharacteristic
139Dic3×C22⋊C4C2211yescharacteristic
140#4940C2211yescharacteristic, complemented
141C4×Dic3⋊C4C2211yescharacteristic, complemented
142#4676C2211yescharacteristic, complemented
143#4675C2211yescharacteristic
144#4675C2211yescharacteristic
145#4675C2211yescharacteristic
146#4675C2211yescharacteristic
147#4675C2211yescharacteristic, complemented
148#4675C2211yescharacteristic, complemented
149#4675C2211yescharacteristic, complemented
150#4674C2211yescharacteristic
151#4674C2211yescharacteristic
152#4673C2211yescharacteristic, complemented
153#4672C2211yescharacteristic
154#4672C2211yescharacteristic
155#4672C2211yescharacteristic, complemented
156#4672C2211yescharacteristic, complemented
157#4669C2211yescharacteristic, complemented
158#4668C2211yescharacteristic, complemented
159#4668C2211yescharacteristic, complemented
160#4667C2211yescharacteristic
161#4667C2211yescharacteristic
162#4667C2211yescharacteristic
163#4667C2211yescharacteristic
164#4667C2211yescharacteristic
165#4667C2211yescharacteristic
166#4667C2211yescharacteristic
167#4667C2211yescharacteristic
168#4667C2211yescharacteristic
169#4667C2211yescharacteristic
170#4667C2211yescharacteristic, complemented
171#4667C2211yescharacteristic, complemented
172#4666C2211yescharacteristic
173#4666C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180#4664C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4659C2211yescharacteristic, complemented
183#4658C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4652C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#538—31no—
192#2847—31no—
193#2715—31no—
194#2715—31no—
195#2708—31no—
196#2708—31no—
197#2695—31no—
198#2695—31no—
199#2686—31no—
200#2686—31no—
201#2622—31no—
202#2622—31no—
203#2547—31no—
204#2537—31no—
205#2496—31no—
206#2496—31no—
207#2491—31no—
208#2486—31no—
209#2450—31no—
210#2450D311yescharacteristic, complemented
211#2444—31no—
212#2444—31no—
213#2440—31no—
214#2422—31no—
215#2416—31no—
216#2416—31no—
217#2361—31no—
218D4×C4⋊C4—31no—
219C4×#120—31no—
220C2×#380—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
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×Dic6C2311yescharacteristic
254C3×C22⋊Q8—24no—
255C3×C4×D4—24no—
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279#947—24no—
280#947—24no—
281#944—42no—
282#939—24no—
283#939—24no—
284#937—24no—
285#930—24no—
286#930—24no—
287#929—24no—
288C4×#67—24no—
289C4×#67—42no—
290C2×(C2×D3)⋊C4—24no—
291C2×(C2×D3)⋊C4—24no—
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×Dic3⋊C4—42no—
331C2×Dic3⋊C4—42no—
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360#898—24no—
361#898—24no—
362#898—24no—
363#895—24no—
364#895—24no—
365#894—24no—
366#894—24no—
367#894—24no—
368#893—42no—
369#893—42no—
370D3×C4⋊C4—42no—
371#885—24no—
372#884—24no—
373#884—42no—
374#884—42no—
375#884—42no—
376#882—24no—
377#882D418yescomplemented
378#67⋊C4—24no—
379#67⋊C4—24no—
380#67⋊C4—24no—
381#878—24no—
382#876—24no—
383#875—24no—
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
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
420C24×C4—31no—
421#538—68no—
422#538—68no—
423C2×C4⋊Q8—31no—
424C2×#126—31no—
425C2×#126—31no—
426C2×#126—31no—
427C2×#126—31no—
428C2×#124—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#124—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8C2×D311yescharacteristic
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×#120—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×C4×D4C2×D311yescharacteristic
459C22×C4⋊C4—31no—
460C22×C4⋊C4—31no—
461C22×C4⋊C4—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464#400—31no—
465#400—31no—
466#400—31no—
467#400C2×D311yescharacteristic, complemented
468#398—31no—
469#398—31no—
470#398—31no—
471#398C2×D311yescharacteristic, complemented
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396C2×D311yescharacteristic, complemented
488#395—31no—
489#395—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#393—31no—
503#393C2×D311yescharacteristic, complemented
504#391—31no—
505#391C2×D311yescharacteristic, complemented
506#390—31no—
507#390—31no—
508#389—31no—
509#389—31no—
510#389—31no—
511#389—31no—
512#389—31no—
513#389—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387C2×D311yescharacteristic, complemented
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386C2×D311yescharacteristic
536#386C2×D311yescharacteristic
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385C2×D311yescharacteristic
548#385C2×D311yescharacteristic
549#385C2×D311yescharacteristic, complemented
550#384—31no—
551#384—31no—
552#381—31no—
553#381—31no—
554#380—31no—
555#380—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380C2×D311yescharacteristic, complemented
569#379—31no—
570C4×C4⋊C4—31no—
571C4×C4⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C2×#95—31no—
576C2×#95C2×D311yescharacteristic
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3C2×D414yes—
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C2×C3×Q8—22no—
591C2×C3×Q8—41no—
592C2×C3×Q8—41no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4—41no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
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
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67C2×D414yes—
639C22×Dic3—22no—
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—22no—
643C22×Dic3—41no—
644C22×Dic3—41no—
645C22×Dic3—41no—
646C22×Dic3—41no—
647C22×Dic3#4114yes—
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C2×D12—22no—
661C2×D12—22no—
662C2×D12—22no—
663C2×D12—41no—
664C2×D12—41no—
665C2×D12—41no—
666C2×D12—41no—
667C2×D12—41no—
668C2×D12—41no—
669C2×D12—41no—
670C2×D12—41no—
671C2×D12—41no—
672C2×D12—41no—
673C2×D12C2×D414yes—
674C2×D12C2×D414yes—
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—41no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3—416no—
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×Dic6—22no—
701C2×Dic6—41no—
702C2×Dic6—41no—
703C3×C4⋊C4—22no—
704C3×C4⋊C4—22no—
705C3×C4⋊C4—22no—
706C3×C4⋊C4—22no—
707C3×C4⋊C4—41no—
708C3×C4⋊C4—41no—
709C3×C4⋊C4—41no—
710C3×C4⋊C4—41no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—41no—
715C3×C22⋊C4—41no—
716C3×C22⋊C4—41no—
717C3×C22⋊C4—41no—
718C3×C22⋊C4C2×D414yes—
719C3×C42—22no—
720#217—22no—
721#217—22no—
722#217—22no—
723#217—22no—
724#217—41no—
725#217—41no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
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—41no—
747(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
759(C2×D3)⋊C4C2×D414yes—
760C4⋊Dic3—22no—
761C4⋊Dic3—22no—
762C4⋊Dic3—41no—
763C4⋊Dic3—41no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786C4×Dic3—22no—
787C4×Dic3—22no—
788C4×Dic3—22no—
789C4×Dic3—22no—
790C4×Dic3—22no—
791C4×Dic3—22no—
792C25—31no—
793C22×Q8—31no—
794C22×Q8C22×D311yescharacteristic
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—31no—
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4C22×D311yescharacteristic
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—64no—
819C23×C4—122no—
820C23×C4—122no—
821C23×C4C22×D311yescharacteristic
822C23×C4C22×D311yescharacteristic
823C23×C4C22×D311yescharacteristic
824C23×C4C22×D311yescharacteristic
825C4⋊Q8—122no—
826#126—64no—
827#126—64no—
828#126—64no—
829#126—64no—
830#124—64no—
831#124—64no—
832#124—64no—
833#124—64no—
834#123—64no—
835#123—64no—
836#123—64no—
837#123—64no—
838C22⋊Q8—24no—
839C22⋊Q8—64no—
840#121—64no—
841#121—64no—
842#121—64no—
843#121—64no—
844#121—64no—
845#121—64no—
846#121—64no—
847#121—122no—
848#121—122no—
849#121—122no—
850#120—38no—
851#120—64no—
852#120—64no—
853C4×D4—24no—
854C4×D4—64no—
855C4×D4—64no—
856C4×D4—64no—
857C4×D4—64no—
858C4×D4—122no—
859C4×D4—122no—
860C4×D4—122no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊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—122no—
888C2×C4⋊C4—122no—
889C2×C4⋊C4—122no—
890C2×C4⋊C4C22×D311yescharacteristic
891C2×C4⋊C4C22×D311yescharacteristic
892C2×C4⋊C4C22×D311yescharacteristic
893C2×C4⋊C4C22×D311yescharacteristic
894C2×C4⋊C4C22×D311yescharacteristic
895C2×C4⋊C4C22×D311yescharacteristic
896C2×C4⋊C4C22×D311yescharacteristic
897C2×C4⋊C4C22×D311yescharacteristic
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—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—64no—
939C2×C22⋊C4—64no—
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C42—31no—
949C2×C42—31no—
950C2×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—31no—
954C2×C42C22×D311yescharacteristic
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982#95C22×D311yescharacteristic
983#95C22×D311yescharacteristic
984#95C22×D311yescharacteristic
985#95C22×D311yescharacteristic
986#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3C22×D412yes—
1003C23×C3C2×#4112yes—
1004C23×C32−1+412yes—
1005C23×C3C2511yescharacteristic
1006C22×D3—28no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—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—44no—
1033C22×D3—44no—
1034C22×D3—44no—
1035C22×D3—44no—
1036C22×D3—44no—
1037C22×D3—44no—
1038C22×D3C22×D412yes—
1039C22×D3C22×D412yes—
1040C22×D3C22×D412yes—
1041C3×Q8—82no—
1042C3×D4—44no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—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—44no—
1081C2×C3×C4—82no—
1082C2×C3×C4—82no—
1083C2×C3×C4—82no—
1084C2×C3×C4C22×D412yes—
1085C2×C3×C4C22×D412yes—
1086#67—28no—
1087#67—44no—
1088#67—44no—
1089#67—82no—
1090#67—82no—
1091#67—82no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—28no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—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—82no—
1125C2×Dic3—82no—
1126C2×Dic3C22×D412yes—
1127C2×Dic3C2×#4112yes—
1128C2×Dic3C2×#4112yes—
1129C2×Dic3H(5,𝔽2)12yes—
1130C2×Dic3H(5,𝔽2)12yes—
1131D12—44no—
1132D12—44no—
1133D12—82no—
1134D12—82no—
1135D12—82no—
1136C4×D3—44no—
1137C4×D3—44no—
1138C4×D3—44no—
1139C4×D3—44no—
1140C4×D3—44no—
1141C4×D3—82no—
1142C4×D3—82no—
1143C4×D3—82no—
1144Dic6—82no—
1145C24—31no—
1146C24—31no—
1147C24—31no—
1148C24—34no—
1149C24—31no—
1150C24—62no—
1151C24—62no—
1152C24—121no—
1153C24—121no—
1154C24—121no—
1155C24—121no—
1156C24C23×D311yescharacteristic
1157C24C23×D311yescharacteristic
1158C2×Q8—22no—
1159C2×Q8—41no—
1160C2×Q8—41no—
1161C2×Q8—62no—
1162C2×Q8—121no—
1163C2×Q8—121no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—34no—
1168C2×D4—34no—
1169C2×D4—34no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—121no—
1193C2×D4—121no—
1194C2×D4—121no—
1195C2×D4—121no—
1196C2×D4—121no—
1197C2×D4—121no—
1198C2×D4—121no—
1199C2×D4—121no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—31no—
1205C22×C4—34no—
1206C22×C4—31no—
1207C22×C4—31no—
1208C22×C4—31no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—31no—
1214C22×C4—31no—
1215C22×C4—31no—
1216C22×C4—31no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—62no—
1234C22×C4—62no—
1235C22×C4—62no—
1236C22×C4—62no—
1237C22×C4—62no—
1238C22×C4—62no—
1239C22×C4—62no—
1240C22×C4—62no—
1241C22×C4—62no—
1242C22×C4—62no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4—121no—
1247C22×C4—121no—
1248C22×C4—121no—
1249C22×C4—121no—
1250C22×C4—121no—
1251C22×C4—121no—
1252C22×C4—121no—
1253C22×C4—1216no—
1254C22×C4—121no—
1255C22×C4—121no—
1256C22×C4—121no—
1257C22×C4—121no—
1258C22×C4C23×D311yescharacteristic
1259C22×C4C23×D311yescharacteristic
1260C22×C4C23×D311yescharacteristic
1261C22×C4C23×D311yescharacteristic
1262C22×C4C23×D311yescharacteristic
1263C22×C4C23×D311yescharacteristic
1264C22×C4C23×D311yescharacteristic
1265C22×C4C23×D311yescharacteristic
1266C22×C4C23×D311yescharacteristic
1267C22×C4C23×D311yescharacteristic
1268C22×C4C23×D311yescharacteristic
1269C22×C4C23×D311yescharacteristic
1270C22×C4C23×D311yescharacteristic
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—62no—
1280C4⋊C4—62no—
1281C4⋊C4—62no—
1282C4⋊C4—62no—
1283C4⋊C4—62no—
1284C4⋊C4—62no—
1285C4⋊C4—62no—
1286C4⋊C4—62no—
1287C4⋊C4—62no—
1288C4⋊C4—62no—
1289C4⋊C4—62no—
1290C4⋊C4—62no—
1291C4⋊C4—62no—
1292C4⋊C4—62no—
1293C4⋊C4—62no—
1294C4⋊C4—62no—
1295C4⋊C4—121no—
1296C4⋊C4—121no—
1297C4⋊C4—121no—
1298C4⋊C4—121no—
1299C4⋊C4—121no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—34no—
1309C22⋊C4—34no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—121no—
1339C22⋊C4—121no—
1340C22⋊C4—121no—
1341C22⋊C4—121no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4D3×D414yes—
1353C42—22no—
1354C42—62no—
1355C42—62no—
1356C42—62no—
1357C42—62no—
1358C42—62no—
1359C42—62no—
1360C22×C3—22no—
1361C22×C3—22no—
1362C22×C3—22no—
1363C22×C3—22no—
1364C22×C3—22no—
1365C22×C3—22no—
1366C22×C3—41no—
1367C22×C3—41no—
1368C22×C3—41no—
1369C22×C3—41no—
1370C22×C3—41no—
1371C22×C3—41no—
1372C22×C3—41no—
1373C22×C3#54714yes—
1374C22×C3C23×D411yescharacteristic
1375C22×C3C22×#4111yescharacteristic
1376C22×C3C2×H(5,𝔽2)11yescharacteristic
1377C22×C3C2×H(5,𝔽2)11yescharacteristic
1378C22×C3C2×2−1+411yescharacteristic
1379C22×C3#58511yescharacteristic
1380C22×C3#58511yescharacteristic
1381C2×D3—22no—
1382C2×D3—22no—
1383C2×D3—22no—
1384C2×D3—22no—
1385C2×D3—22no—
1386C2×D3—22no—
1387C2×D3—22no—
1388C2×D3—22no—
1389C2×D3—22no—
1390C2×D3—416no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C2×D3—41no—
1398C2×D3—41no—
1399C2×D3—41no—
1400C2×D3—41no—
1401C2×D3—41no—
1402C2×D3—41no—
1403C2×D3—41no—
1404C2×D3—41no—
1405C2×D3—41no—
1406C2×D3—41no—
1407C2×D3—41no—
1408C2×D3—41no—
1409C2×D3—41no—
1410C3×C4—22no—
1411C3×C4—22no—
1412C3×C4—41no—
1413C3×C4—41no—
1414C3×C4—41no—
1415C3×C4—41no—
1416C3×C4—41no—
1417C3×C4—41no—
1418C3×C4—41no—
1419C3×C4—41no—
1420C3×C4—41no—
1421C3×C4—41no—
1422C3×C4—41no—
1423Dic3—22no—
1424Dic3—22no—
1425Dic3—41no—
1426Dic3—41no—
1427Dic3—41no—
1428Dic3—41no—
1429Dic3—41no—
1430Dic3—41no—
1431Dic3—41no—
1432Dic3—41no—
1433Dic3—41no—
1434Dic3#53814yescomplemented
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—32no—
1447C23—32no—
1448C23—32no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—68no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—61no—
1475C23—124no—
1476C23—124no—
1477C23—124no—
1478C23—124no—
1479C23—124no—
1480C23—124no—
1481C23C2×D3×D412yes—
1482C23#100712yes—
1483C23D3×#4112yes—
1484C23C24×D311yescharacteristic
1485Q8—82no—
1486Q8—242no—
1487D4—44no—
1488D4—68no—
1489D4—124no—
1490D4—124no—
1491D4—124no—
1492D4—124no—
1493D4—242no—
1494D4—242no—
1495D4—242no—
1496D4—242no—
1497D4—242no—
1498D4—242no—
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—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—32no—
1537C2×C4—32no—
1538C2×C4—32no—
1539C2×C4—32no—
1540C2×C4—32no—
1541C2×C4—44no—
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—82no—
1575C2×C4—82no—
1576C2×C4—82no—
1577C2×C4—124no—
1578C2×C4—124no—
1579C2×C4—124no—
1580C2×C4—124no—
1581C2×C4—124no—
1582C2×C4—242no—
1583C2×C4—242no—
1584C2×C4—242no—
1585C2×C4—242no—
1586C2×C4—242no—
1587C2×C4C2×D3×D412yes—
1588C2×C4C2×D3×D412yes—
1589C2×C3—24no—
1590C2×C3—81no—
1591C2×C3C2×#53811yescharacteristic
1592C2×C3C2×#54711yescharacteristic
1593C2×C3#349311yescharacteristic
1594C2×C3#349611yescharacteristic
1595C2×C3#349611yescharacteristic
1596C2×C3#354111yescharacteristic
1597C2×C3#354111yescharacteristic
1598D3—42no—
1599D3—42no—
1600D3—42no—
1601D3—81no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—62no—
1616C22—62no—
1617C22—62no—
1618C22—62no—
1619C22—62no—
1620C22—62no—
1621C22—62no—
1622C22—62no—
1623C22—62no—
1624C22—1216no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22—121no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22—121no—
1641C22—121no—
1642C22—121no—
1643C22—121no—
1644C22#563114yes—
1645C22C22×D3×D411yescharacteristic
1646C22C2×#100711yescharacteristic
1647C22C2×D3×#4111yescharacteristic
1648C22#596411yescharacteristic
1649C22#596411yescharacteristic
1650C22D3×H(5,𝔽2)11yescharacteristic
1651C22D3×H(5,𝔽2)11yescharacteristic
1652C4—22no—
1653C4—22no—
1654C4—34no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—62no—
1667C4—62no—
1668C4—121no—
1669C4—121no—
1670C4—121no—
1671C4—121no—
1672C4—121no—
1673C4—121no—
1674C4—121no—
1675C4—121no—
1676C4—121no—
1677C3#3934911yescharacteristic, complemented, Sylow
1678C2—24no—
1679C2—81no—
1680C2—122no—
1681C2—122no—
1682C2—122no—
1683C2—241no—
1684C2C2×#563111yescharacteristic
1685C2#8612111yescharacteristic
1686C2D3×#53811yescharacteristic
1687C2#8666511yescharacteristic
1688C2#8666511yescharacteristic
1689C2#8693811yescharacteristic
1690C2#8693811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2450C2
hypercenter#2450D3
hypocenterC3#39349
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2450

Complements

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

NH ≅ G/Ntype
1. C2×#5644C2semidirect
2. C2×#5560C2semidirect
3. C3×#2450C2semidirect
4. #82763C2semidirect
5. #82340C2semidirect
6. #78371C2semidirect
7. #78150C2semidirect
8. #77850C2semidirect
9. #77764C2semidirect
10. #77360C2semidirect
11. #77284C2semidirect
12. #76877C2semidirect
13. #76792C2semidirect
14. #76653C2semidirect
15. #76536C2semidirect
16. #75391C2semidirect
17. #75023C2semidirect
18. #74935C2semidirect
19. #74906C2semidirect
20. #74707C2semidirect
21. #74692C2semidirect
22. #74639C2semidirect
23. #74619C2semidirect
24. #74424C2semidirect
25. #74409C2semidirect
26. #74393C2semidirect
27. #74379C2semidirect
28. #74041C2semidirect
29. #73935C2semidirect
30. #73377C2semidirect
31. C2×#4667C2semidirect
38. C2×#944C22semidirect
46. C2×C4×#67C22semidirect
63. C2×D3×C4⋊C4C22semidirect
68. C2×#884C22semidirect
77. C3×#400C22semidirect
78. C3×#398C22semidirect
79. C3×#396C22semidirect
80. C3×#393C22semidirect
81. C3×#391C22semidirect
82. C3×#387C22semidirect
87. C3×#385C22semidirect
88. C3×#380C22semidirect
90. #5230C22semidirect
96. #5210C22semidirect
98. #4994C22semidirect
105. #4989C22semidirect
106. #4989C22semidirect
107. #4987C22semidirect
108. #4983C22semidirect
109. #4981C22semidirect
110. #4981C22semidirect
111. #4979C22semidirect
112. #4976C22semidirect
113. #4976C22semidirect
114. #4976C22semidirect
115. #4976C22semidirect
116. #4975C22semidirect
117. #4975C22semidirect
118. #4973C22semidirect
123. #4959C22semidirect
124. #4959C22semidirect
126. #4957C22semidirect
127. #4957C22semidirect
130. #4956C22semidirect
132. #4952C22semidirect
134. #4948C22semidirect
136. #4945C22semidirect
137. #4944C22semidirect
140. #4940C22semidirect
141. C4×Dic3⋊C4C22semidirect
142. #4676C22semidirect
147. #4675C22semidirect
148. #4675C22semidirect
149. #4675C22semidirect
152. #4673C22semidirect
155. #4672C22semidirect
156. #4672C22semidirect
157. #4669C22semidirect
158. #4668C22semidirect
159. #4668C22semidirect
170. #4667C22semidirect
171. #4667C22semidirect
178. #4665C22semidirect
179. #4664C22semidirect
180. #4664C22semidirect
181. #4660C22semidirect
182. #4659C22semidirect
183. #4658C22semidirect
184. #4655C22semidirect
185. #4653C22semidirect
186. #4652C22semidirect
187. #4649C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
210. #2450D3semidirect
377. #882D4semidirect
467. #400C2×D3semidirect
471. #398C2×D3semidirect
487. #396C2×D3semidirect
503. #393C2×D3semidirect
505. #391C2×D3semidirect
521. #387C2×D3semidirect
549. #385C2×D3semidirect
568. #380C2×D3semidirect
1434. Dic3#538semidirect
1677. C3#39349semidirect

Maximal subgroups

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

subgroupindex
C2×#56442
C2×#55602
C3×#24502
#827632
#823402
#783712
#781502
#778502
#777642
#773602
#772842
#768772
#767922
#766532
#765362
#753912
#750232
#749352
#749062
#747072
#746922
#746392
#746192
#744242
#744092
#743932
#743792
#740412
#739352
#733772
C2×#46672
#393493