Finite Group Databasebeta

← #11097791

Subgroups — #11097791

Order 768.

2616 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5676C211yesmaximal, characteristic, complemented
2C2×#5613C211yesmaximal, characteristic, complemented
3C3×#2676C211yesmaximal, characteristic, complemented
4#82988C211yesmaximal, characteristic, complemented
5#82828C211yesmaximal, characteristic, complemented
6#82812C211yesmaximal, characteristic, complemented
7#82718C211yesmaximal, characteristic, complemented
8#82702C211yesmaximal, characteristic, complemented
9#82658C211yesmaximal, characteristic, complemented
10#77331C211yesmaximal, characteristic, complemented
11#77303C211yesmaximal, characteristic, complemented
12#77158C211yesmaximal, characteristic, complemented
13#77129C211yesmaximal, characteristic, complemented
14#76974C211yesmaximal, characteristic, complemented
15#76900C211yesmaximal, characteristic, complemented
16#76879C211yesmaximal, characteristic, complemented
17#76777C211yesmaximal, characteristic, complemented
18#76760C211yesmaximal, characteristic, complemented
19#76756C211yesmaximal, characteristic, complemented
20#76742C211yesmaximal, characteristic, complemented
21#76690C211yesmaximal, characteristic, complemented
22#76446C211yesmaximal, characteristic, complemented
23#76438C211yesmaximal, characteristic, complemented
24#75379C211yesmaximal, characteristic, complemented
25#75000C211yesmaximal, characteristic, complemented
26#74917C211yesmaximal, characteristic, complemented
27#74905C211yesmaximal, characteristic, complemented
28#74904C211yesmaximal, characteristic, complemented
29#74759C211yesmaximal, characteristic, complemented
30#74635C211yesmaximal, characteristic, complemented
31#74595C211yesmaximal, characteristic, complemented
32#40498—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C2×C3×#124C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic, complemented
37C2×C3×#121C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic, complemented
39C2×#946C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic, complemented
43C2×#938C2211yescharacteristic
44C2×#938C2211yescharacteristic, complemented
45C2×#938C2211yescharacteristic, complemented
46C2×#937C2211yescharacteristic
47C2×#937C2211yescharacteristic
48C2×#937C2211yescharacteristic
49C2×#937C2211yescharacteristic
50C2×#936C2211yescharacteristic, complemented
51C2×#935C2211yescharacteristic, complemented
52C2×#930C2211yescharacteristic, complemented
53C2×#929C2211yescharacteristic
54C2×C4×#67C2211yescharacteristic, complemented
55C22×(C2×D3)⋊C4C2211yescharacteristic
56#5676—28no—
57#5613—28no—
58C2×#898C2211yescharacteristic
59C2×#896C2211yescharacteristic, complemented
60C2×#892C2211yescharacteristic, complemented
61C2×#885C2211yescharacteristic
62C2×#885C2211yescharacteristic, complemented
63C2×#884C2211yescharacteristic
64C2×#884C2211yescharacteristic
65C2×#883C2211yescharacteristic
66C2×#883C2211yescharacteristic
67C2×#883C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic, complemented
71C2×#67⋊C4C2211yescharacteristic, complemented
72C2×#67⋊C4C2211yescharacteristic, complemented
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×#879C2211yescharacteristic, complemented
76C2×C4×D12C2211yescharacteristic
77C2×C4×D12C2211yescharacteristic
78C3×#396C2211yescharacteristic, complemented
79C3×#394C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic, complemented
81C3×#393C2211yescharacteristic, complemented
82C3×#392C2211yescharacteristic
83C3×#392C2211yescharacteristic, complemented
84C3×#390C2211yescharacteristic, complemented
85C3×#387C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic, complemented
87C3×#386C2211yescharacteristic, complemented
88C3×#385C2211yescharacteristic, complemented
89#5230C2211yescharacteristic, complemented
90#5229C2211yescharacteristic, complemented
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5222C2211yescharacteristic
99#5221C2211yescharacteristic, complemented
100#5220C2211yescharacteristic
101#5220C2211yescharacteristic, complemented
102#5213C2211yescharacteristic
103#5213C2211yescharacteristic, complemented
104#5210C2211yescharacteristic, complemented
105C4×#217C2211yescharacteristic, complemented
106#4994C2211yescharacteristic, complemented
107#4994C2211yescharacteristic, complemented
108#4992C2211yescharacteristic
109#4991C2211yescharacteristic
110#4991C2211yescharacteristic, complemented
111#4990C2211yescharacteristic
112#4990C2211yescharacteristic
113#4989C2211yescharacteristic
114#4989C2211yescharacteristic, complemented
115#4989C2211yescharacteristic, complemented
116#4989C2211yescharacteristic, complemented
117#4988C2211yescharacteristic, complemented
118#4987C2211yescharacteristic, complemented
119#4987C2211yescharacteristic, complemented
120#4982C2211yescharacteristic, complemented
121#4981C2211yescharacteristic, complemented
122#4975C2211yescharacteristic, complemented
123#4961C2211yescharacteristic
124#4961C2211yescharacteristic
125#4961C2211yescharacteristic
126#4961C2211yescharacteristic, complemented
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic
129#4960C2211yescharacteristic
130#4960C2211yescharacteristic
131#4960C2211yescharacteristic, complemented
132#4960C2211yescharacteristic, complemented
133#4960C2211yescharacteristic, complemented
134#4959C2211yescharacteristic
135#4959C2211yescharacteristic
136#4959C2211yescharacteristic, complemented
137#4959C2211yescharacteristic, complemented
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4956C2211yescharacteristic
142#4956C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4955C2211yescharacteristic
145#4955C2211yescharacteristic
146#4955C2211yescharacteristic
147#4953C2211yescharacteristic, complemented
148#4952C2211yescharacteristic, complemented
149#4952C2211yescharacteristic, complemented
150#4952C2211yescharacteristic, complemented
151#4951C2211yescharacteristic, complemented
152#4951C2211yescharacteristic, complemented
153#4951C2211yescharacteristic, complemented
154#4950C2211yescharacteristic, complemented
155#4950C2211yescharacteristic, complemented
156#4948C2211yescharacteristic, complemented
157#4948C2211yescharacteristic, complemented
158#4948C2211yescharacteristic, complemented
159#4945C2211yescharacteristic, complemented
160#4944C2211yescharacteristic, complemented
161#4944C2211yescharacteristic, complemented
162#4942C2211yescharacteristic, complemented
163Dic3×C22⋊C4C2211yescharacteristic, complemented
164#4933C2211yescharacteristic, complemented
165#4928C2211yescharacteristic, complemented
166#4675C2211yescharacteristic
167#4675C2211yescharacteristic, complemented
168#4675C2211yescharacteristic, complemented
169#4674C2211yescharacteristic, complemented
170#4674C2211yescharacteristic, complemented
171#4673C2211yescharacteristic, complemented
172#4672C2211yescharacteristic
173#4672C2211yescharacteristic
174#4672C2211yescharacteristic
175#4672C2211yescharacteristic, complemented
176#4672C2211yescharacteristic, complemented
177#4670C2211yescharacteristic
178#4670C2211yescharacteristic
179#4668C2211yescharacteristic, complemented
180#4666C2211yescharacteristic, complemented
181#4666C2211yescharacteristic, complemented
182#4666C2211yescharacteristic, complemented
183#4664C2211yescharacteristic
184#4664C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#538—31no—
192#2815—31no—
193#2812—31no—
194#2715—31no—
195#2700—31no—
196#2691—31no—
197#2680—31no—
198#2678—31no—
199#2676D311yescharacteristic, complemented
200#2675—31no—
201#2670—31no—
202#2638—31no—
203#2630—31no—
204#2620—31no—
205#2617—31no—
206#2613—31no—
207#2602—31no—
208#2557—31no—
209#2555—31no—
210#2480—31no—
211#2466—31no—
212#2464—31no—
213#2456—31no—
214#2424—31no—
215#2422—31no—
216#2414—31no—
217#2410—31no—
218#2407—31no—
219#2388—31no—
220#2342—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
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
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C2×#239—24no—
247C2×#239—42no—
248C2×#239—42no—
249C2×D3×D4—24no—
250C2×D3×D4—42no—
251C2×D3×D4—42no—
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×Dic6C2311yescharacteristic
263C3×#124—24no—
264C3×C22⋊Q8—42no—
265C3×#121—24no—
266C3×#121—42no—
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C42C2311yescharacteristic
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
303#946—24no—
304#939—24no—
305#939—42no—
306#939—42no—
307#938—24no—
308#938—24no—
309#938—42no—
310#937—24no—
311#937—24no—
312#937—42no—
313#937—42no—
314#936—24no—
315#935—24no—
316#930—42no—
317#929—24no—
318C4×#67—24no—
319C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375#898—24no—
376#896—24no—
377#892—42no—
378#885—24no—
379#885—42no—
380#884—24no—
381#884—24no—
382#883—24no—
383#883—24no—
384#883—42no—
385#882—24no—
386#882—24no—
387#67⋊C4—24no—
388#67⋊C4—42no—
389#67⋊C4—42no—
390D3×C22⋊C4—24no—
391D3×C22⋊C4D418yescomplemented
392#879—24no—
393C4×D12—24no—
394C4×D12—24no—
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
423C22×#41—31no—
424C23×D4—31no—
425#546—68no—
426#538—68no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#124—31no—
432C2×#124C2×D311yescharacteristic
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8C2×D311yescharacteristic, complemented
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×#121C2×D311yescharacteristic
451C2×#121C2×D311yescharacteristic, complemented
452C2×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×#117—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#398—31no—
469#398—31no—
470#397—31no—
471#397—31no—
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#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396C2×D311yescharacteristic, complemented
486#395—31no—
487#395—31no—
488#394—31no—
489#394—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#394—31no—
503#394—31no—
504#394C2×D311yescharacteristic, complemented
505#394C2×D311yescharacteristic, complemented
506#393—31no—
507#393C2×D311yescharacteristic, complemented
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392C2×D311yescharacteristic
523#392C2×D311yescharacteristic, complemented
524#391—31no—
525#391—31no—
526#390—31no—
527#390—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390C2×D311yescharacteristic, complemented
532#389—31no—
533#389—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#387—31no—
545#387—31no—
546#387—31no—
547#387C2×D311yescharacteristic, complemented
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386C2×D311yescharacteristic, complemented
556#386C2×D311yescharacteristic, complemented
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385C2×D311yescharacteristic, complemented
566#384—31no—
567#381—31no—
568#381—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3C2×D414yes—
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C23×D3C2411yescharacteristic
602C2×C3×Q8—22no—
603C2×C3×Q8—22no—
604C2×C3×Q8—41no—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C22×C3×C4—22no—
624C22×C3×C4—41no—
625C22×C3×C4—41no—
626C22×C3×C4—41no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
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×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C22×Dic3—22no—
677C22×Dic3—22no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3—41no—
681C22×Dic3—41no—
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694#239—416no—
695D3×D4—416no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—22no—
702C2×D12—22no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12—41no—
707C2×D12—41no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3—41no—
723C2×C4×D3—41no—
724C2×C4×D3C2×D414yes—
725C2×C4×D3C2×D414yes—
726C2×Dic6—22no—
727C2×Dic6—41no—
728C2×Dic6—41no—
729C3×C4⋊C4—22no—
730C3×C4⋊C4—22no—
731C3×C4⋊C4—41no—
732C3×C4⋊C4—41no—
733C3×C4⋊C4—41no—
734C3×C22⋊C4—22no—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
740C3×C22⋊C4—41no—
741C3×C22⋊C4—41no—
742C3×C22⋊C4—41no—
743C3×C22⋊C4—41no—
744C3×C22⋊C4—41no—
745C3×C22⋊C4—41no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4C2×D414yes—
748C3×C42—22no—
749#217—22no—
750#217—22no—
751#217—22no—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—22no—
757#217—41no—
758#217—41no—
759#217—41no—
760#217—41no—
761#217—41no—
762#217—41no—
763#217—41no—
764#217C2×D414yes—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4C2×D414yes—
794(C2×D3)⋊C4C2×D414yes—
795C4⋊Dic3—22no—
796C4⋊Dic3—22no—
797C4⋊Dic3—22no—
798C4⋊Dic3—22no—
799C4⋊Dic3—41no—
800C4⋊Dic3—41no—
801C4⋊Dic3—41no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—41no—
810Dic3⋊C4—41no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814C4×Dic3—22no—
815C4×Dic3—22no—
816C4×Dic3—22no—
817C4×Dic3—41no—
818C4×Dic3—41no—
819C4×Dic3—41no—
820C25—31no—
821C25—31no—
822C2×#41—64no—
823C2×#41—122no—
824C2×#41—122no—
825C22×Q8—31no—
826C22×Q8C22×D311yescharacteristic
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—64no—
844C22×D4—122no—
845C22×D4—122no—
846C22×D4C22×D311yescharacteristic
847C22×D4C22×D311yescharacteristic
848C22×D4C22×D311yescharacteristic
849C22×D4C22×D311yescharacteristic
850C22×D4C22×D311yescharacteristic
851C22×D4C22×D311yescharacteristic
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4C22×D311yescharacteristic
861C23×C4C22×D311yescharacteristic
862#126—64no—
863#126—64no—
864#124—24no—
865#124—64no—
866#124—64no—
867#124—122no—
868#123—64no—
869#123—64no—
870#123—64no—
871#123—64no—
872#123—122no—
873C22⋊Q8—42no—
874C22⋊Q8—64no—
875C22⋊Q8—64no—
876#121—24no—
877#121—42no—
878#121—64no—
879#121—64no—
880#121—64no—
881#121—64no—
882#121—64no—
883#121—122no—
884#121—122no—
885#121—122no—
886#121—122no—
887#120—64no—
888#120—64no—
889#120—64no—
890#120—64no—
891#120—122no—
892#120—122no—
893C4×D4—64no—
894C4×D4—64no—
895C4×D4—64no—
896C4×D4—64no—
897C4×D4—122no—
898C4×D4—122no—
899#117—122no—
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—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
922C2×C4⋊C4C22×D311yescharacteristic
923C2×C4⋊C4C22×D311yescharacteristic
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—38no—
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—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—64no—
972C2×C22⋊C4—122no—
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C42—31no—
988C2×C42—31no—
989C2×C42—31no—
990C2×C42—31no—
991C2×C42—31no—
992C2×C42—31no—
993C2×C42C22×D311yescharacteristic
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#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95C22×D311yescharacteristic
1017#95C22×D311yescharacteristic
1018#95C22×D311yescharacteristic
1019#95C22×D311yescharacteristic
1020#95C22×D311yescharacteristic
1021#95C22×D311yescharacteristic
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—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3C22×D412yes—
1050C23×C3C2511yescharacteristic
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—44no—
1077C22×D3—44no—
1078C22×D3—44no—
1079C22×D3—44no—
1080C22×D3—44no—
1081C22×D3—82no—
1082C22×D3—82no—
1083C22×D3—82no—
1084C22×D3—82no—
1085C22×D3—82no—
1086C22×D3—82no—
1087C22×D3—82no—
1088C22×D3—82no—
1089C22×D3—82no—
1090C22×D3C22×D412yes—
1091C22×D3C22×D412yes—
1092C22×D3H(5,𝔽2)12yes—
1093C3×Q8—44no—
1094C3×D4—44no—
1095C3×D4—82no—
1096C3×D4—82no—
1097C3×D4—82no—
1098C3×D4—82no—
1099C3×D4—82no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—82no—
1131C2×C3×C4—82no—
1132C2×C3×C4C22×D412yes—
1133C2×C3×C4C22×D412yes—
1134C2×C3×C4H(5,𝔽2)12yes—
1135#67—44no—
1136#67—44no—
1137#67—44no—
1138#67—44no—
1139#67—44no—
1140#67—44no—
1141#67—82no—
1142#67—82no—
1143#67—82no—
1144#67—82no—
1145#67—82no—
1146#67—82no—
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—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—82no—
1181C2×Dic3—82no—
1182C2×Dic3C22×D412yes—
1183C2×Dic3C22×D412yes—
1184C2×Dic3H(5,𝔽2)12yes—
1185D12—28no—
1186D12—44no—
1187D12—44no—
1188D12—44no—
1189C4×D3—44no—
1190C4×D3—44no—
1191C4×D3—44no—
1192C4×D3—44no—
1193C4×D3—44no—
1194C4×D3—82no—
1195Dic6—82no—
1196C24—31no—
1197C24—31no—
1198C24—31no—
1199C24—34no—
1200C24—31no—
1201C24—62no—
1202C24—62no—
1203C24—121no—
1204C24—121no—
1205C24—121no—
1206C24—121no—
1207C24—121no—
1208C24—121no—
1209C24—121no—
1210C24—121no—
1211C24—121no—
1212C24—121no—
1213C24—121no—
1214C24C23×D311yescharacteristic
1215C24C23×D311yescharacteristic
1216C24C23×D311yescharacteristic
1217C24C23×D311yescharacteristic
1218#41—1216no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—41no—
1222C2×Q8—62no—
1223C2×Q8—121no—
1224C2×Q8—121no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—121no—
1265C2×D4—121no—
1266C2×D4—121no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—1216no—
1292C22×C4—22no—
1293C22×C4—31no—
1294C22×C4—31no—
1295C22×C4—31no—
1296C22×C4—34no—
1297C22×C4—34no—
1298C22×C4—31no—
1299C22×C4—31no—
1300C22×C4—31no—
1301C22×C4—31no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—31no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—62no—
1313C22×C4—62no—
1314C22×C4—62no—
1315C22×C4—62no—
1316C22×C4—62no—
1317C22×C4—62no—
1318C22×C4—62no—
1319C22×C4—62no—
1320C22×C4—62no—
1321C22×C4—121no—
1322C22×C4—121no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4—121no—
1326C22×C4—121no—
1327C22×C4—121no—
1328C22×C4—121no—
1329C22×C4—121no—
1330C22×C4—121no—
1331C22×C4—121no—
1332C22×C4—121no—
1333C22×C4—121no—
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C22×C4C23×D311yescharacteristic
1340C22×C4C23×D311yescharacteristic
1341C22×C4C23×D311yescharacteristic
1342C22×C4C23×D311yescharacteristic
1343C22×C4C23×D311yescharacteristic
1344C22×C4C23×D311yescharacteristic
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—62no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—62no—
1355C4⋊C4—62no—
1356C4⋊C4—62no—
1357C4⋊C4—62no—
1358C4⋊C4—62no—
1359C4⋊C4—62no—
1360C4⋊C4—62no—
1361C4⋊C4—121no—
1362C4⋊C4—121no—
1363C4⋊C4—121no—
1364C4⋊C4—121no—
1365C4⋊C4—121no—
1366C4⋊C4—121no—
1367C4⋊C4—121no—
1368C4⋊C4—121no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—34no—
1376C22⋊C4—34no—
1377C22⋊C4—34no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4D3×D414yes—
1429C42—22no—
1430C42—62no—
1431C42—62no—
1432C42—62no—
1433C42—121no—
1434C42—121no—
1435C42—121no—
1436C22×C3—22no—
1437C22×C3—22no—
1438C22×C3—22no—
1439C22×C3—41no—
1440C22×C3—41no—
1441C22×C3—41no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3—41no—
1459C22×C3—41no—
1460C22×C3—41no—
1461C22×C3—41no—
1462C22×C3—41no—
1463C22×C3—41no—
1464C22×C3C23×D411yescharacteristic
1465C22×C3C2×H(5,𝔽2)11yescharacteristic
1466C22×C3C2×H(5,𝔽2)11yescharacteristic
1467C22×C3C2×H(5,𝔽2)11yescharacteristic
1468C22×C3#58511yescharacteristic
1469C22×C3#58511yescharacteristic
1470C22×C3#58511yescharacteristic
1471C2×D3—22no—
1472C2×D3—22no—
1473C2×D3—22no—
1474C2×D3—22no—
1475C2×D3—22no—
1476C2×D3—22no—
1477C2×D3—22no—
1478C2×D3—22no—
1479C2×D3—22no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—41no—
1491C2×D3—41no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—88no—
1500C2×D3—88no—
1501C3×C4—22no—
1502C3×C4—22no—
1503C3×C4—22no—
1504C3×C4—41no—
1505C3×C4—41no—
1506C3×C4—41no—
1507C3×C4—41no—
1508C3×C4—41no—
1509C3×C4—41no—
1510C3×C4—41no—
1511C3×C4—41no—
1512Dic3—22no—
1513Dic3—22no—
1514Dic3—22no—
1515Dic3—41no—
1516Dic3—41no—
1517Dic3—41no—
1518Dic3—41no—
1519Dic3—41no—
1520Dic3—41no—
1521Dic3—41no—
1522Dic3—41no—
1523Dic3—41no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—32no—
1552C23—32no—
1553C23—32no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—124no—
1580C23—124no—
1581C23—124no—
1582C23—124no—
1583C23—124no—
1584C23—242no—
1585C23—242no—
1586C23—242no—
1587C23—242no—
1588C23—242no—
1589C23—242no—
1590C23—242no—
1591C23—242no—
1592C23—242no—
1593C23C2×D3×D412yes—
1594C23C24×D311yescharacteristic
1595Q8—44no—
1596Q8—242no—
1597D4—44no—
1598D4—68no—
1599D4—82no—
1600D4—82no—
1601D4—82no—
1602D4—82no—
1603D4—82no—
1604D4—124no—
1605D4—124no—
1606D4—124no—
1607D4—124no—
1608D4—124no—
1609D4—124no—
1610D4—124no—
1611D4—124no—
1612D4—124no—
1613D4—242no—
1614D4—242no—
1615D4—242no—
1616D4—242no—
1617D4—242no—
1618D4—242no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—32no—
1650C2×C4—32no—
1651C2×C4—32no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—61no—
1655C2×C4—61no—
1656C2×C4—61no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—82no—
1686C2×C4—82no—
1687C2×C4—124no—
1688C2×C4—124no—
1689C2×C4—124no—
1690C2×C4—124no—
1691C2×C4—124no—
1692C2×C4—242no—
1693C2×C4—242no—
1694C2×C4—242no—
1695C2×C4C2×D3×D412yes—
1696C2×C4C2×D3×D412yes—
1697C2×C4#100412yes—
1698C2×C3—42no—
1699C2×C3—81no—
1700C2×C3—81no—
1701C2×C3—81no—
1702C2×C3#344911yescharacteristic
1703C2×C3#348411yescharacteristic
1704C2×C3#349611yescharacteristic
1705C2×C3#353411yescharacteristic
1706C2×C3#354011yescharacteristic
1707C2×C3#354611yescharacteristic
1708C2×C3#356011yescharacteristic
1709D3—42no—
1710D3—42no—
1711D3—42no—
1712D3—81no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—62no—
1742C22—62no—
1743C22—62no—
1744C22—62no—
1745C22—62no—
1746C22—62no—
1747C22—62no—
1748C22—62no—
1749C22—62no—
1750C22—121no—
1751C22—121no—
1752C22—121no—
1753C22—121no—
1754C22—121no—
1755C22—121no—
1756C22—121no—
1757C22—121no—
1758C22—121no—
1759C22—121no—
1760C22—121no—
1761C22—121no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—248no—
1770C22—248no—
1771C22C22×D3×D411yescharacteristic
1772C22C2×#100411yescharacteristic
1773C22#596411yescharacteristic
1774C22D3×H(5,𝔽2)11yescharacteristic
1775C22D3×H(5,𝔽2)11yescharacteristic
1776C22#596611yescharacteristic
1777C22#596811yescharacteristic
1778C4—22no—
1779C4—22no—
1780C4—22no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—62no—
1790C4—62no—
1791C4—62no—
1792C4—121no—
1793C4—121no—
1794C4—121no—
1795C4—121no—
1796C4—121no—
1797C4—121no—
1798C4—121no—
1799C4—121no—
1800C4—121no—
1801C3#4049811yescharacteristic, complemented, Sylow
1802C2—42no—
1803C2—81no—
1804C2—81no—
1805C2—81no—
1806C2—122no—
1807C2—122no—
1808C2—122no—
1809C2—241no—
1810C2#8632511yescharacteristic
1811C2#8636311yescharacteristic
1812C2#8642611yescharacteristic
1813C2#8662011yescharacteristic
1814C2#8666511yescharacteristic
1815C2#8674011yescharacteristic
1816C2#8710911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2676C2
hypercenter#2676D3
hypocenterC3#40498
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2676

Complements

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

NH ≅ G/Ntype
1. C2×#5676C2semidirect
2. C2×#5613C2semidirect
3. C3×#2676C2semidirect
4. #82988C2semidirect
5. #82828C2semidirect
6. #82812C2semidirect
7. #82718C2semidirect
8. #82702C2semidirect
9. #82658C2semidirect
10. #77331C2semidirect
11. #77303C2semidirect
12. #77158C2semidirect
13. #77129C2semidirect
14. #76974C2semidirect
15. #76900C2semidirect
16. #76879C2semidirect
17. #76777C2semidirect
18. #76760C2semidirect
19. #76756C2semidirect
20. #76742C2semidirect
21. #76690C2semidirect
22. #76446C2semidirect
23. #76438C2semidirect
24. #75379C2semidirect
25. #75000C2semidirect
26. #74917C2semidirect
27. #74905C2semidirect
28. #74904C2semidirect
29. #74759C2semidirect
30. #74635C2semidirect
31. #74595C2semidirect
36. C2×C3×C22⋊Q8C22semidirect
38. C2×C3×#121C22semidirect
42. C2×#939C22semidirect
44. C2×#938C22semidirect
45. C2×#938C22semidirect
50. C2×#936C22semidirect
51. C2×#935C22semidirect
52. C2×#930C22semidirect
54. C2×C4×#67C22semidirect
59. C2×#896C22semidirect
60. C2×#892C22semidirect
62. C2×#885C22semidirect
70. C2×#67⋊C4C22semidirect
71. C2×#67⋊C4C22semidirect
72. C2×#67⋊C4C22semidirect
75. C2×#879C22semidirect
78. C3×#396C22semidirect
79. C3×#394C22semidirect
80. C3×#394C22semidirect
81. C3×#393C22semidirect
83. C3×#392C22semidirect
84. C3×#390C22semidirect
85. C3×#387C22semidirect
86. C3×#386C22semidirect
87. C3×#386C22semidirect
88. C3×#385C22semidirect
89. #5230C22semidirect
90. #5229C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5223C22semidirect
99. #5221C22semidirect
101. #5220C22semidirect
103. #5213C22semidirect
104. #5210C22semidirect
105. C4×#217C22semidirect
106. #4994C22semidirect
107. #4994C22semidirect
110. #4991C22semidirect
114. #4989C22semidirect
115. #4989C22semidirect
116. #4989C22semidirect
117. #4988C22semidirect
118. #4987C22semidirect
119. #4987C22semidirect
120. #4982C22semidirect
121. #4981C22semidirect
122. #4975C22semidirect
126. #4961C22semidirect
131. #4960C22semidirect
132. #4960C22semidirect
133. #4960C22semidirect
136. #4959C22semidirect
137. #4959C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
142. #4956C22semidirect
143. #4956C22semidirect
147. #4953C22semidirect
148. #4952C22semidirect
149. #4952C22semidirect
150. #4952C22semidirect
151. #4951C22semidirect
152. #4951C22semidirect
153. #4951C22semidirect
154. #4950C22semidirect
155. #4950C22semidirect
156. #4948C22semidirect
157. #4948C22semidirect
158. #4948C22semidirect
159. #4945C22semidirect
160. #4944C22semidirect
161. #4944C22semidirect
162. #4942C22semidirect
163. Dic3×C22⋊C4C22semidirect
164. #4933C22semidirect
165. #4928C22semidirect
167. #4675C22semidirect
168. #4675C22semidirect
169. #4674C22semidirect
170. #4674C22semidirect
171. #4673C22semidirect
175. #4672C22semidirect
176. #4672C22semidirect
179. #4668C22semidirect
180. #4666C22semidirect
181. #4666C22semidirect
182. #4666C22semidirect
184. #4664C22semidirect
185. #4656C22semidirect
186. #4655C22semidirect
187. #4653C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
199. #2676D3semidirect
391. D3×C22⋊C4D4semidirect
440. C2×C22⋊Q8C2×D3semidirect
451. C2×#121C2×D3semidirect
485. #396C2×D3semidirect
504. #394C2×D3semidirect
505. #394C2×D3semidirect
507. #393C2×D3semidirect
523. #392C2×D3semidirect
531. #390C2×D3semidirect
547. #387C2×D3semidirect
555. #386C2×D3semidirect
556. #386C2×D3semidirect
565. #385C2×D3semidirect
1801. C3#40498semidirect

Maximal subgroups

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

subgroupindex
C2×#56762
C2×#56132
C3×#26762
#829882
#828282
#828122
#827182
#827022
#826582
#773312
#773032
#771582
#771292
#769742
#769002
#768792
#767772
#767602
#767562
#767422
#766902
#764462
#764382
#753792
#750002
#749172
#749052
#749042
#747592
#746352
#745952
#404983