Finite Group Databasebeta

← #11098233

Subgroups — #11098233

Order 768.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5593C211yesmaximal, characteristic, complemented
2C2×#5540C211yesmaximal, characteristic, complemented
3C3×#2424C211yesmaximal, characteristic, complemented
4#82705C211yesmaximal, characteristic, complemented
5#82686C211yesmaximal, characteristic, complemented
6#82642C211yesmaximal, characteristic, complemented
7#82641C211yesmaximal, characteristic, complemented
8#82592C211yesmaximal, characteristic, complemented
9#82586C211yesmaximal, characteristic, complemented
10#82586C211yesmaximal, characteristic, complemented
11#82361C211yesmaximal, characteristic, complemented
12#82109C211yesmaximal, characteristic, complemented
13C2×#4948C211yesmaximal, characteristic, complemented
14#77423C211yesmaximal, characteristic, complemented
15#77365C211yesmaximal, characteristic, complemented
16#77161C211yesmaximal, characteristic, complemented
17#77089C211yesmaximal, characteristic, complemented
18#77027C211yesmaximal, characteristic, complemented
19#77003C211yesmaximal, characteristic, complemented
20#76770C211yesmaximal, characteristic, complemented
21#76709C211yesmaximal, characteristic, complemented
22#76457C211yesmaximal, characteristic, complemented
23#76381C211yesmaximal, characteristic, complemented
24#75897C211yesmaximal, characteristic, complemented
25#75693C211yesmaximal, characteristic, complemented
26#74907C211yesmaximal, characteristic, complemented
27#74816C211yesmaximal, characteristic, complemented
28#74770C211yesmaximal, characteristic, complemented
29#74752C211yesmaximal, characteristic, complemented
30#74422C211yesmaximal, characteristic, complemented
31#74393C211yesmaximal, characteristic, complemented
32#40515—31nomaximal, Sylow
33C2×C3×#121C2211yescharacteristic
34C2×C3×#121C2211yescharacteristic
35C2×C3×#120C2211yescharacteristic
36C2×C3×#120C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic
38C22×C3×C22⋊C4C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C22×#217C2211yescharacteristic
42C22×#217C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic, complemented
49C2×#938C2211yescharacteristic
50C2×#938C2211yescharacteristic
51C2×#938C2211yescharacteristic
52C2×#938C2211yescharacteristic, complemented
53C2×#936C2211yescharacteristic
54C2×#935C2211yescharacteristic
55C2×D4×Dic3C2211yescharacteristic
56C2×#930C2211yescharacteristic
57C2×#929C2211yescharacteristic, complemented
58C2×C4×#67C2211yescharacteristic
59C2×C4×#67C2211yescharacteristic, complemented
60C22×C4⋊Dic3C2211yescharacteristic
61C22×Dic3⋊C4C2211yescharacteristic
62C22×Dic3⋊C4C2211yescharacteristic
63#5593—28no—
64#5540—28no—
65C2×#897C2211yescharacteristic, complemented
66C2×#894C2211yescharacteristic, complemented
67C2×D3×C4⋊C4C2211yescharacteristic, complemented
68C2×#889C2211yescharacteristic, complemented
69C2×#885C2211yescharacteristic
70C2×#884C2211yescharacteristic
71C2×#884C2211yescharacteristic, complemented
72C2×#883C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic
74C2×#67⋊C4C2211yescharacteristic
75C2×#67⋊C4C2211yescharacteristic
76C2×#879C2211yescharacteristic
77C2×#879C2211yescharacteristic
78C2×#879C2211yescharacteristic, complemented
79C2×#878C2211yescharacteristic
80C2×#876C2211yescharacteristic, complemented
81C2×#872C2211yescharacteristic, complemented
82C3×#396C2211yescharacteristic
83C3×#394C2211yescharacteristic
84C3×#394C2211yescharacteristic
85C3×#392C2211yescharacteristic
86C3×#390C2211yescharacteristic
87C3×#388C2211yescharacteristic
88C3×#386C2211yescharacteristic
89C3×#386C2211yescharacteristic
90C3×#385C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5222C2211yescharacteristic
96#5222C2211yescharacteristic
97#5222C2211yescharacteristic
98#5222C2211yescharacteristic
99#5222C2211yescharacteristic, complemented
100#5221C2211yescharacteristic
101#5221C2211yescharacteristic
102#5221C2211yescharacteristic, complemented
103#5220C2211yescharacteristic
104#5220C2211yescharacteristic
105#5220C2211yescharacteristic
106#5213C2211yescharacteristic
107#5212C2211yescharacteristic, complemented
108#5210C2211yescharacteristic
109#5210C2211yescharacteristic, complemented
110C2×C3⋊#95C2211yescharacteristic
111#4994C2211yescharacteristic, complemented
112#4994C2211yescharacteristic, complemented
113#4989C2211yescharacteristic, complemented
114#4987C2211yescharacteristic, complemented
115#4986C2211yescharacteristic, complemented
116#4984C2211yescharacteristic, complemented
117#4982C2211yescharacteristic, complemented
118#4981C2211yescharacteristic, complemented
119#4976C2211yescharacteristic, complemented
120#4976C2211yescharacteristic, complemented
121#4975C2211yescharacteristic, complemented
122#4972C2211yescharacteristic, complemented
123#4961C2211yescharacteristic
124#4961C2211yescharacteristic
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic, complemented
129#4959C2211yescharacteristic
130#4959C2211yescharacteristic
131#4959C2211yescharacteristic
132#4959C2211yescharacteristic
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4958C2211yescharacteristic
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic, complemented
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic, complemented
142#4952C2211yescharacteristic
143#4952C2211yescharacteristic
144#4951C2211yescharacteristic
145#4951C2211yescharacteristic, complemented
146#4950C2211yescharacteristic
147#4950C2211yescharacteristic
148#4948C2211yescharacteristic
149#4948C2211yescharacteristic
150#4948C2211yescharacteristic
151#4948C2211yescharacteristic
152#4948C2211yescharacteristic
153#4948C2211yescharacteristic
154#4948C2211yescharacteristic
155#4948C2211yescharacteristic
156#4948C2211yescharacteristic
157#4948C2211yescharacteristic
158#4948C2211yescharacteristic
159#4948C2211yescharacteristic, complemented
160#4948C2211yescharacteristic, complemented
161#4948C2211yescharacteristic, complemented
162#4948C2211yescharacteristic, complemented
163#4948C2211yescharacteristic, complemented
164#4948C2211yescharacteristic, complemented
165#4947C2211yescharacteristic, complemented
166#4946C2211yescharacteristic, complemented
167#4946C2211yescharacteristic, complemented
168#4944C2211yescharacteristic
169#4944C2211yescharacteristic
170#4942C2211yescharacteristic
171#4942C2211yescharacteristic, complemented
172#4933C2211yescharacteristic, complemented
173#4929C2211yescharacteristic, complemented
174#4677C2211yescharacteristic, complemented
175#4675C2211yescharacteristic, complemented
176#4669C2211yescharacteristic, complemented
177#4668C2211yescharacteristic, complemented
178#4668C2211yescharacteristic, complemented
179#4667C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#553—31no—
191C2×#538—31no—
192#2823—31no—
193#2813—31no—
194#2725—31no—
195#2715—31no—
196#2707—31no—
197#2705—31no—
198#2691—31no—
199#2682—31no—
200#2676—31no—
201#2675—31no—
202#2662—31no—
203#2630—31no—
204#2620—31no—
205#2618—31no—
206#2617—31no—
207#2601—31no—
208#2579—31no—
209#2543—31no—
210#2450—31no—
211#2449—31no—
212#2424—31no—
213#2424—31no—
214#2424—31no—
215#2424D311yescharacteristic, complemented
216#2416—31no—
217#2416—31no—
218#2416—31no—
219C2×#396—31no—
220D4×C4⋊C4—31no—
221C25×C3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#121—42no—
254C3×#121—42no—
255C3×#120—24no—
256C3×#120—42no—
257C3×C4×D4—24no—
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4—42no—
263C2×C3×C22⋊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×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279#953—24no—
280#953—42no—
281C2×#217—24no—
282C2×#217—42no—
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308#939—24no—
309#939—24no—
310#939—24no—
311#939—24no—
312#939—42no—
313#939—42no—
314#938—24no—
315#938—42no—
316#938—42no—
317#938—42no—
318#936—24no—
319#935—24no—
320D4×Dic3—24no—
321#930—24no—
322#929—24no—
323C4×#67—24no—
324C4×#67—42no—
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×C4⋊Dic3—42no—
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×Dic3⋊C4—24no—
352C2×Dic3⋊C4—42no—
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×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380#897—42no—
381#894—24no—
382D3×C4⋊C4—42no—
383#889—24no—
384#885—24no—
385#884—24no—
386#884—42no—
387#883—24no—
388#67⋊C4—24no—
389#67⋊C4—42no—
390#67⋊C4D418yescomplemented
391#879—24no—
392#879—24no—
393#879—24no—
394#878—24no—
395#876—24no—
396#872—24no—
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
423#553—68no—
424#538—68no—
425C2×#126—31no—
426C2×#126—31no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#125—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⋊Q8—31no—
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×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121C2×D311yescharacteristic
452C2×#121C2×D311yescharacteristic
453C2×#120—31no—
454C2×#120—31no—
455C2×#120C2×D311yescharacteristic
456C2×#120C2×D311yescharacteristic
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4C2×D311yescharacteristic
464C2×#117—31no—
465C22×C4⋊C4—31no—
466C22×C4⋊C4—31no—
467C22×C4⋊C4—31no—
468C22×C4⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4C2×D311yescharacteristic
472#400—31no—
473#399—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#398—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#396—31no—
493#396—31no—
494#396—31no—
495#396—31no—
496#396—31no—
497#396—31no—
498#396—31no—
499#396—31no—
500#396—31no—
501#396C2×D311yescharacteristic
502#395—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#394—31no—
513#394—31no—
514#394—31no—
515#394—31no—
516#394—31no—
517#394—31no—
518#394C2×D311yescharacteristic
519#394C2×D311yescharacteristic
520#393—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392C2×D311yescharacteristic
528#391—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#390C2×D311yescharacteristic
535#389—31no—
536#389—31no—
537#389—31no—
538#389—31no—
539#389—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388C2×D311yescharacteristic
546#387—31no—
547#387—31no—
548#387—31no—
549#387—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#386—31no—
560#386C2×D311yescharacteristic
561#386C2×D311yescharacteristic
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#385—31no—
571#385C2×D311yescharacteristic
572#384—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#380—31no—
577#380—31no—
578C4×C4⋊C4—31no—
579C2×#95—31no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—41no—
584C24×C3—41no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—22no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C2×C3×D4—41no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
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—22no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67C2×D414yes—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—22no—
667C22×Dic3—22no—
668C22×Dic3—22no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3—41no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3C2×D414yes—
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C2×D12—22no—
694C2×D12—41no—
695C2×D12—41no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3C2×D414yes—
708C2×Dic6—22no—
709C2×Dic6—41no—
710C2×Dic6—41no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—22no—
713C3×C4⋊C4—41no—
714C3×C4⋊C4—41no—
715C3×C22⋊C4—22no—
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⋊C4—41no—
727C3×C22⋊C4—41no—
728C3×C22⋊C4—41no—
729C3×C22⋊C4C2×D414yes—
730C3×C42—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—22no—
737#217—22no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—22no—
742#217—22no—
743#217—22no—
744#217—22no—
745#217—22no—
746#217—41no—
747#217—41no—
748#217—41no—
749#217—41no—
750#217—41no—
751#217—41no—
752#217—41no—
753#217—41no—
754#217—41no—
755#217—41no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4C2×D414yes—
770C4⋊Dic3—22no—
771C4⋊Dic3—22no—
772C4⋊Dic3—22no—
773C4⋊Dic3—22no—
774C4⋊Dic3—22no—
775C4⋊Dic3—22no—
776C4⋊Dic3—41no—
777C4⋊Dic3—41no—
778C4⋊Dic3—41no—
779C4⋊Dic3—41no—
780C4⋊Dic3—41no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—41no—
794Dic3⋊C4—41no—
795Dic3⋊C4—41no—
796Dic3⋊C4—41no—
797Dic3⋊C4—41no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4C2×D414yes—
803C4×Dic3—22no—
804C4×Dic3—22no—
805C4×Dic3—41no—
806C4×Dic3—41no—
807C4×Dic3C2×D414yes—
808C25C22×D311yescharacteristic
809C22×Q8—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×D4—31no—
821C22×D4C22×D311yescharacteristic
822C22×D4C22×D311yescharacteristic
823C22×D4C22×D311yescharacteristic
824C22×D4C22×D311yescharacteristic
825C22×D4C22×D311yescharacteristic
826C22×D4C22×D311yescharacteristic
827C22×D4C22×D311yescharacteristic
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4—31no—
835C23×C4—31no—
836C23×C4—31no—
837C23×C4C22×D311yescharacteristic
838C23×C4C22×D311yescharacteristic
839C23×C4C22×D311yescharacteristic
840#126—64no—
841#126—64no—
842#126—64no—
843#126—64no—
844#125—64no—
845#124—64no—
846#124—64no—
847#123—64no—
848#123—64no—
849#123—64no—
850#123—64no—
851C22⋊Q8—64no—
852C22⋊Q8—122no—
853#121—42no—
854#121—42no—
855#121—64no—
856#121—64no—
857#121—64no—
858#121—64no—
859#121—64no—
860#121—64no—
861#121—64no—
862#121—122no—
863#121—122no—
864#121—122no—
865#121—122no—
866#121—122no—
867#121—122no—
868#120—24no—
869#120—42no—
870#120—64no—
871#120—122no—
872C4×D4—24no—
873C4×D4—38no—
874C4×D4—64no—
875C4×D4—64no—
876C4×D4—64no—
877C4×D4—122no—
878C4×D4—122no—
879#117—64no—
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—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—64no—
914C2×C4⋊C4—122no—
915C2×C4⋊C4—122no—
916C2×C4⋊C4—122no—
917C2×C4⋊C4C22×D311yescharacteristic
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
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—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—42no—
961C2×C22⋊C4—64no—
962C2×C22⋊C4—122no—
963C2×C22⋊C4C22×D311yescharacteristic
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C22⋊C4C22×D311yescharacteristic
967C2×C22⋊C4C22×D311yescharacteristic
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C22⋊C4C22×D311yescharacteristic
970C2×C22⋊C4C22×D311yescharacteristic
971C2×C22⋊C4C22×D311yescharacteristic
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C42—31no—
979C2×C42—31no—
980C2×C42—31no—
981C2×C42—31no—
982C2×C42—31no—
983C2×C42C22×D311yescharacteristic
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#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—44no—
1043C23×C3—44no—
1044C23×C3—44no—
1045C23×C3—82no—
1046C23×C3—82no—
1047C23×C3—82no—
1048C23×C3—82no—
1049C23×C3C22×D412yes—
1050C23×C3H(5,𝔽2)12yes—
1051C23×C32−1+412yes—
1052C23×C3C2511yescharacteristic
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3C22×D412yes—
1067C3×D4—44no—
1068C3×D4—44no—
1069C3×D4—82no—
1070C3×D4—82no—
1071C3×D4—82no—
1072C3×D4—82no—
1073C3×D4—82no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—44no—
1102C2×C3×C4—82no—
1103C2×C3×C4—82no—
1104C2×C3×C4C22×D412yes—
1105C2×C3×C4C22×D412yes—
1106C2×C3×C4H(5,𝔽2)12yes—
1107#67—28no—
1108#67—44no—
1109#67—44no—
1110#67—82no—
1111#67—82no—
1112#67—82no—
1113#67—82no—
1114#67—82no—
1115#67—82no—
1116#67—82no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—44no—
1156C2×Dic3—44no—
1157C2×Dic3—82no—
1158C2×Dic3—82no—
1159C2×Dic3—82no—
1160C2×Dic3C22×D412yes—
1161C2×Dic3C22×D412yes—
1162C2×Dic3C22×D412yes—
1163C2×Dic3H(5,𝔽2)12yes—
1164D12—82no—
1165C4×D3—44no—
1166C4×D3—44no—
1167C4×D3—82no—
1168C4×D3—82no—
1169Dic6—82no—
1170C24—22no—
1171C24—22no—
1172C24—22no—
1173C24—31no—
1174C24—31no—
1175C24—41no—
1176C24—41no—
1177C24—41no—
1178C24—41no—
1179C24C23×D311yescharacteristic
1180C24C23×D311yescharacteristic
1181C24C23×D311yescharacteristic
1182C24C23×D311yescharacteristic
1183C24C23×D311yescharacteristic
1184C2×Q8—62no—
1185C2×Q8—121no—
1186C2×Q8—121no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—34no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—62no—
1212C2×D4—62no—
1213C2×D4—62no—
1214C2×D4—62no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—62no—
1221C2×D4—121no—
1222C2×D4—121no—
1223C2×D4—121no—
1224C2×D4—121no—
1225C2×D4—121no—
1226C2×D4—121no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C2×D4—121no—
1231C2×D4—121no—
1232C2×D4—121no—
1233C2×D4—121no—
1234C2×D4—121no—
1235C2×D4—121no—
1236C2×D4—121no—
1237C2×D4—121no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—31no—
1249C22×C4—34no—
1250C22×C4—34no—
1251C22×C4—31no—
1252C22×C4—31no—
1253C22×C4—31no—
1254C22×C4—31no—
1255C22×C4—31no—
1256C22×C4—31no—
1257C22×C4—31no—
1258C22×C4—31no—
1259C22×C4—31no—
1260C22×C4—31no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—62no—
1267C22×C4—62no—
1268C22×C4—62no—
1269C22×C4—62no—
1270C22×C4—62no—
1271C22×C4—62no—
1272C22×C4—62no—
1273C22×C4—62no—
1274C22×C4—121no—
1275C22×C4—121no—
1276C22×C4—121no—
1277C22×C4—121no—
1278C22×C4—121no—
1279C22×C4—121no—
1280C22×C4—121no—
1281C22×C4—121no—
1282C22×C4—121no—
1283C22×C4—121no—
1284C22×C4—121no—
1285C22×C4—121no—
1286C22×C4—121no—
1287C22×C4—121no—
1288C22×C4—121no—
1289C22×C4—121no—
1290C22×C4—121no—
1291C22×C4C23×D311yescharacteristic
1292C22×C4C23×D311yescharacteristic
1293C22×C4C23×D311yescharacteristic
1294C22×C4C23×D311yescharacteristic
1295C22×C4C23×D311yescharacteristic
1296C22×C4C23×D311yescharacteristic
1297C22×C4C23×D311yescharacteristic
1298C22×C4C23×D311yescharacteristic
1299C22×C4C23×D311yescharacteristic
1300C22×C4C23×D311yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—34no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—62no—
1307C4⋊C4—62no—
1308C4⋊C4—62no—
1309C4⋊C4—62no—
1310C4⋊C4—62no—
1311C4⋊C4—62no—
1312C4⋊C4—62no—
1313C4⋊C4—62no—
1314C4⋊C4—62no—
1315C4⋊C4—62no—
1316C4⋊C4—62no—
1317C4⋊C4—62no—
1318C4⋊C4—62no—
1319C4⋊C4—62no—
1320C4⋊C4—62no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—121no—
1325C4⋊C4—121no—
1326C4⋊C4—121no—
1327C4⋊C4—121no—
1328C4⋊C4—121no—
1329C4⋊C4—121no—
1330C4⋊C4—121no—
1331C4⋊C4—121no—
1332C4⋊C4—121no—
1333C4⋊C4—121no—
1334C4⋊C4—121no—
1335C4⋊C4—121no—
1336C4⋊C4—121no—
1337C4⋊C4—121no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—34no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—62no—
1354C22⋊C4—62no—
1355C22⋊C4—62no—
1356C22⋊C4—62no—
1357C22⋊C4—62no—
1358C22⋊C4—62no—
1359C22⋊C4—62no—
1360C22⋊C4—62no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—121no—
1376C22⋊C4—121no—
1377C22⋊C4—121no—
1378C22⋊C4—121no—
1379C22⋊C4—121no—
1380C22⋊C4—121no—
1381C22⋊C4—121no—
1382C22⋊C4—121no—
1383C22⋊C4—121no—
1384C22⋊C4—121no—
1385C22⋊C4—121no—
1386C22⋊C4—121no—
1387C22⋊C4—121no—
1388C22⋊C4—121no—
1389C22⋊C4—121no—
1390C22⋊C4—121no—
1391C22⋊C4D3×D414yes—
1392C42—22no—
1393C42—34no—
1394C42—62no—
1395C42—62no—
1396C42—121no—
1397C42—121no—
1398C22×C3—22no—
1399C22×C3—22no—
1400C22×C3—22no—
1401C22×C3—22no—
1402C22×C3—22no—
1403C22×C3—22no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3—41no—
1407C22×C3—41no—
1408C22×C3—41no—
1409C22×C3—41no—
1410C22×C3—41no—
1411C22×C3—41no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3—41no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—41no—
1427C22×C3—41no—
1428C22×C3—41no—
1429C22×C3—41no—
1430C22×C3—41no—
1431C22×C3—41no—
1432C22×C3—88no—
1433C22×C3#53714yes—
1434C22×C3C23×D411yescharacteristic
1435C22×C3C2×H(5,𝔽2)11yescharacteristic
1436C22×C3C2×H(5,𝔽2)11yescharacteristic
1437C22×C3C2×H(5,𝔽2)11yescharacteristic
1438C22×C3C2×2−1+411yescharacteristic
1439C22×C3#58511yescharacteristic
1440C22×C3#58511yescharacteristic
1441C2×D3—22no—
1442C2×D3—22no—
1443C2×D3—22no—
1444C2×D3—41no—
1445C2×D3—41no—
1446C2×D3—41no—
1447C2×D3—41no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C2×D3—41no—
1453C2×D3—41no—
1454C2×D3—41no—
1455C3×C4—22no—
1456C3×C4—22no—
1457C3×C4—22no—
1458C3×C4—41no—
1459C3×C4—41no—
1460C3×C4—41no—
1461C3×C4—41no—
1462C3×C4—41no—
1463C3×C4—41no—
1464C3×C4—41no—
1465Dic3—22no—
1466Dic3—22no—
1467Dic3—22no—
1468Dic3—22no—
1469Dic3—41no—
1470Dic3—41no—
1471Dic3—41no—
1472Dic3—41no—
1473Dic3—41no—
1474Dic3—41no—
1475Dic3—41no—
1476Dic3—41no—
1477Dic3—41no—
1478Dic3—41no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—32no—
1512C23—44no—
1513C23—44no—
1514C23—44no—
1515C23—61no—
1516C23—61no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23—61no—
1521C23—61no—
1522C23—61no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—82no—
1529C23—82no—
1530C23—82no—
1531C23—82no—
1532C23C2×D3×D412yes—
1533C23#100412yes—
1534C23#101012yes—
1535C23C24×D311yescharacteristic
1536Q8—242no—
1537D4—44no—
1538D4—44no—
1539D4—68no—
1540D4—82no—
1541D4—82no—
1542D4—82no—
1543D4—82no—
1544D4—82no—
1545D4—124no—
1546D4—124no—
1547D4—242no—
1548D4—242no—
1549D4—242no—
1550D4—242no—
1551D4—242no—
1552D4—242no—
1553D4—242no—
1554D4—242no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—32no—
1583C2×C4—32no—
1584C2×C4—32no—
1585C2×C4—32no—
1586C2×C4—44no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—61no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—82no—
1626C2×C4—82no—
1627C2×C4—124no—
1628C2×C4—124no—
1629C2×C4—124no—
1630C2×C4—124no—
1631C2×C4—242no—
1632C2×C4—242no—
1633C2×C4—242no—
1634C2×C4—242no—
1635C2×C4—242no—
1636C2×C4C2×D3×D412yes—
1637C2×C4C2×D3×D412yes—
1638C2×C4#100412yes—
1639C2×C3—24no—
1640C2×C3—81no—
1641C2×C3—81no—
1642C2×C3—81no—
1643C2×C3—81no—
1644C2×C3C2×#53711yescharacteristic
1645C2×C3#348811yescharacteristic
1646C2×C3#349611yescharacteristic
1647C2×C3#353711yescharacteristic
1648C2×C3#354111yescharacteristic
1649C2×C3#354111yescharacteristic
1650C2×C3#356011yescharacteristic
1651D3—42no—
1652D3—81no—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—62no—
1688C22—62no—
1689C22—62no—
1690C22—88no—
1691C22—121no—
1692C22—121no—
1693C22—121no—
1694C22—121no—
1695C22—121no—
1696C22—121no—
1697C22—121no—
1698C22—121no—
1699C22—121no—
1700C22—121no—
1701C22—121no—
1702C22#560814yes—
1703C22C22×D3×D411yescharacteristic
1704C22C2×#100411yescharacteristic
1705C22C2×#100411yescharacteristic
1706C22C2×#101011yescharacteristic
1707C22#596411yescharacteristic
1708C22D3×H(5,𝔽2)11yescharacteristic
1709C22#596611yescharacteristic
1710C4—22no—
1711C4—22no—
1712C4—22no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—62no—
1721C4—62no—
1722C4—62no—
1723C4—62no—
1724C4—121no—
1725C4—121no—
1726C4—121no—
1727C4—121no—
1728C4—121no—
1729C4—121no—
1730C4—121no—
1731C4—121no—
1732C4—121no—
1733C4—121no—
1734C3#4051511yescharacteristic, complemented, Sylow
1735C2—24no—
1736C2—81no—
1737C2—81no—
1738C2—81no—
1739C2—81no—
1740C2—122no—
1741C2—241no—
1742C2C2×#560811yescharacteristic
1743C2#8605711yescharacteristic
1744C2#8639811yescharacteristic
1745C2#8661411yescharacteristic
1746C2#8662111yescharacteristic
1747C2#8662911yescharacteristic
1748C2#8665711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2424C2
hypercenter#2424D3
hypocenterC3#40515
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#5593C2semidirect
2. C2×#5540C2semidirect
3. C3×#2424C2semidirect
4. #82705C2semidirect
5. #82686C2semidirect
6. #82642C2semidirect
7. #82641C2semidirect
8. #82592C2semidirect
9. #82586C2semidirect
10. #82586C2semidirect
11. #82361C2semidirect
12. #82109C2semidirect
13. C2×#4948C2semidirect
14. #77423C2semidirect
15. #77365C2semidirect
16. #77161C2semidirect
17. #77089C2semidirect
18. #77027C2semidirect
19. #77003C2semidirect
20. #76770C2semidirect
21. #76709C2semidirect
22. #76457C2semidirect
23. #76381C2semidirect
24. #75897C2semidirect
25. #75693C2semidirect
26. #74907C2semidirect
27. #74816C2semidirect
28. #74770C2semidirect
29. #74752C2semidirect
30. #74422C2semidirect
31. #74393C2semidirect
48. C2×#939C22semidirect
52. C2×#938C22semidirect
57. C2×#929C22semidirect
59. C2×C4×#67C22semidirect
65. C2×#897C22semidirect
66. C2×#894C22semidirect
67. C2×D3×C4⋊C4C22semidirect
68. C2×#889C22semidirect
71. C2×#884C22semidirect
78. C2×#879C22semidirect
80. C2×#876C22semidirect
81. C2×#872C22semidirect
99. #5222C22semidirect
102. #5221C22semidirect
107. #5212C22semidirect
109. #5210C22semidirect
111. #4994C22semidirect
112. #4994C22semidirect
113. #4989C22semidirect
114. #4987C22semidirect
115. #4986C22semidirect
116. #4984C22semidirect
117. #4982C22semidirect
118. #4981C22semidirect
119. #4976C22semidirect
120. #4976C22semidirect
121. #4975C22semidirect
122. #4972C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
128. #4960C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
137. #4957C22semidirect
141. #4956C22semidirect
145. #4951C22semidirect
159. #4948C22semidirect
160. #4948C22semidirect
161. #4948C22semidirect
162. #4948C22semidirect
163. #4948C22semidirect
164. #4948C22semidirect
165. #4947C22semidirect
166. #4946C22semidirect
167. #4946C22semidirect
171. #4942C22semidirect
172. #4933C22semidirect
173. #4929C22semidirect
174. #4677C22semidirect
175. #4675C22semidirect
176. #4669C22semidirect
177. #4668C22semidirect
178. #4668C22semidirect
179. #4667C22semidirect
180. #4665C22semidirect
181. #4657C22semidirect
182. #4657C22semidirect
183. #4657C22semidirect
184. #4656C22semidirect
185. #4654C22semidirect
186. #4654C22semidirect
187. #4653C22semidirect
188. #4649C22semidirect
189. #4647C22semidirect
215. #2424D3semidirect
390. #67⋊C4D4semidirect
1734. C3#40515semidirect

Maximal subgroups

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

subgroupindex
C2×#55932
C2×#55402
C3×#24242
#827052
#826862
#826422
#826412
#825922
#825862
#823612
#821092
C2×#49482
#774232
#773652
#771612
#770892
#770272
#770032
#767702
#767092
#764572
#763812
#758972
#756932
#749072
#748162
#747702
#747522
#744222
#743932
#405153