Finite Group Databasebeta

← #11069833

Subgroups — #11069833

Order 768.

2438 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5615C211yesmaximal, characteristic, complemented
2C2×#5593C211yesmaximal, characteristic, complemented
3C3×#2668C211yesmaximal, characteristic, complemented
4#82717C211yesmaximal, characteristic, complemented
5#82699C211yesmaximal, characteristic, complemented
6#82647C211yesmaximal, characteristic, complemented
7#82587C211yesmaximal, characteristic, complemented
8#82586C211yesmaximal, characteristic, complemented
9#82586C211yesmaximal, characteristic, complemented
10#78039C211yesmaximal, characteristic, complemented
11#78024C211yesmaximal, characteristic, complemented
12#77672C211yesmaximal, characteristic, complemented
13#77596C211yesmaximal, characteristic, complemented
14#77517C211yesmaximal, characteristic, complemented
15#77478C211yesmaximal, characteristic, complemented
16#77115C211yesmaximal, characteristic, complemented
17#77021C211yesmaximal, characteristic, complemented
18#76975C211yesmaximal, characteristic, complemented
19#76953C211yesmaximal, characteristic, complemented
20#76699C211yesmaximal, characteristic, complemented
21#76671C211yesmaximal, characteristic, complemented
22#74927C211yesmaximal, characteristic, complemented
23#74881C211yesmaximal, characteristic, complemented
24#74796C211yesmaximal, characteristic, complemented
25#74794C211yesmaximal, characteristic, complemented
26#74755C211yesmaximal, characteristic, complemented
27#74718C211yesmaximal, characteristic, complemented
28#74660C211yesmaximal, characteristic, complemented
29#74660C211yesmaximal, characteristic, complemented
30#73858C211yesmaximal, characteristic, complemented
31#73822C211yesmaximal, characteristic, complemented
32#39392—31nomaximal, Sylow
33C2×C3×#121C2211yescharacteristic
34C2×C3×#121C2211yescharacteristic
35C2×C3×#120C2211yescharacteristic
36C2×C3×#120C2211yescharacteristic
37C2×#953C2211yescharacteristic
38C2×#953C2211yescharacteristic
39C22×#217C2211yescharacteristic
40C22×#217C2211yescharacteristic
41C2×#940C2211yescharacteristic, complemented
42C2×#939C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic
48C2×#938C2211yescharacteristic
49C2×#938C2211yescharacteristic
50C2×#938C2211yescharacteristic
51C2×#936C2211yescharacteristic
52C2×#935C2211yescharacteristic
53C2×#935C2211yescharacteristic, complemented
54C2×D4×Dic3C2211yescharacteristic
55C2×D4×Dic3C2211yescharacteristic
56C2×#929C2211yescharacteristic, complemented
57C2×C4×#67C2211yescharacteristic, complemented
58C2×#924C2211yescharacteristic, complemented
59C22×C4×Dic3C2211yescharacteristic, complemented
60#5615—28no—
61#5593—28no—
62C2×#894C2211yescharacteristic, complemented
63C2×#894C2211yescharacteristic, complemented
64C2×#889C2211yescharacteristic, complemented
65C2×#885C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#883C2211yescharacteristic
68C2×#883C2211yescharacteristic
69C2×#883C2211yescharacteristic, complemented
70C2×#67⋊C4C2211yescharacteristic
71C2×#67⋊C4C2211yescharacteristic
72C2×#67⋊C4C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic, complemented
74C2×#67⋊C4C2211yescharacteristic, complemented
75C2×#879C2211yescharacteristic
76C2×#879C2211yescharacteristic
77C2×#878C2211yescharacteristic
78C2×#877C2211yescharacteristic
79C3×#399C2211yescharacteristic
80C3×#397C2211yescharacteristic
81C3×#397C2211yescharacteristic
82C3×#394C2211yescharacteristic
83C3×#394C2211yescharacteristic
84C3×#392C2211yescharacteristic
85C3×#386C2211yescharacteristic
86C3×#386C2211yescharacteristic
87C3×#386C2211yescharacteristic
88C3×#386C2211yescharacteristic
89C3×#379C2211yescharacteristic
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5222C2211yescharacteristic
94#5222C2211yescharacteristic
95#5222C2211yescharacteristic
96#5222C2211yescharacteristic, complemented
97#5221C2211yescharacteristic
98#5221C2211yescharacteristic
99#5220C2211yescharacteristic
100#5220C2211yescharacteristic
101#5220C2211yescharacteristic
102#5220C2211yescharacteristic, complemented
103#5213C2211yescharacteristic, complemented
104#5213C2211yescharacteristic, complemented
105#5212C2211yescharacteristic, complemented
106C4×#217C2211yescharacteristic, complemented
107#4989C2211yescharacteristic, complemented
108#4989C2211yescharacteristic, complemented
109#4984C2211yescharacteristic, complemented
110#4983C2211yescharacteristic, complemented
111#4980C2211yescharacteristic, complemented
112#4973C2211yescharacteristic, complemented
113#4972C2211yescharacteristic, complemented
114#4972C2211yescharacteristic, complemented
115#4972C2211yescharacteristic, complemented
116#4961C2211yescharacteristic
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4959C2211yescharacteristic
125#4959C2211yescharacteristic, complemented
126#4958C2211yescharacteristic
127#4957C2211yescharacteristic
128#4957C2211yescharacteristic
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic, complemented
131#4956C2211yescharacteristic
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic, complemented
135#4953C2211yescharacteristic, complemented
136#4952C2211yescharacteristic
137#4952C2211yescharacteristic, complemented
138#4951C2211yescharacteristic, complemented
139#4950C2211yescharacteristic
140#4950C2211yescharacteristic
141#4948C2211yescharacteristic
142#4948C2211yescharacteristic
143#4948C2211yescharacteristic
144#4948C2211yescharacteristic
145#4948C2211yescharacteristic, complemented
146#4946C2211yescharacteristic
147#4946C2211yescharacteristic
148#4946C2211yescharacteristic
149#4945C2211yescharacteristic
150#4945C2211yescharacteristic
151#4945C2211yescharacteristic
152#4944C2211yescharacteristic
153#4944C2211yescharacteristic
154#4944C2211yescharacteristic
155#4944C2211yescharacteristic
156#4944C2211yescharacteristic
157#4944C2211yescharacteristic, complemented
158#4944C2211yescharacteristic, complemented
159#4943C2211yescharacteristic
160#4942C2211yescharacteristic
161#4942C2211yescharacteristic, complemented
162#4942C2211yescharacteristic, complemented
163Dic3×C22⋊C4C2211yescharacteristic
164Dic3×C22⋊C4C2211yescharacteristic
165Dic3×C22⋊C4C2211yescharacteristic
166#4676C2211yescharacteristic, complemented
167#4675C2211yescharacteristic, complemented
168#4673C2211yescharacteristic, complemented
169#4670C2211yescharacteristic, complemented
170#4670C2211yescharacteristic, complemented
171#4670C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4666C2211yescharacteristic, complemented
174#4666C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176D3×#95C2211yescharacteristic, complemented
177#4660C2211yescharacteristic, complemented
178#4657C2211yescharacteristic, complemented
179#4657C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4656C2211yescharacteristic, complemented
182#4654C2211yescharacteristic, complemented
183#4653C2211yescharacteristic, complemented
184#4652C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#540—31no—
191C2×#538—31no—
192#2854—31no—
193#2725—31no—
194#2708—31no—
195#2701—31no—
196#2686—31no—
197#2681—31no—
198#2678—31no—
199#2673—31no—
200#2668D311yescharacteristic, complemented
201#2630—31no—
202#2630—31no—
203#2559—31no—
204#2557—31no—
205#2556—31no—
206#2554—31no—
207#2478—31no—
208#2461—31no—
209#2455—31no—
210#2428—31no—
211#2427—31no—
212#2425—31no—
213#2425—31no—
214#2424—31no—
215#2424—31no—
216#2424—31no—
217#2364—31no—
218#2342—31no—
219C4×#121—31no—
220C4×#121—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
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
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—24no—
254C3×#121—42no—
255C3×#120—24no—
256C3×#120—42no—
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
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
276#953—24no—
277#953—42no—
278C2×#217—24no—
279C2×#217—24no—
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
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
304#940—24no—
305#939—24no—
306#939—24no—
307#939—24no—
308#939—24no—
309#939—42no—
310#939D418yescomplemented
311#938—24no—
312#938—24no—
313#938—24no—
314#936—24no—
315#935—24no—
316#935—24no—
317D4×Dic3—24no—
318D4×Dic3—42no—
319#929—24no—
320C4×#67—24no—
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×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343#924—42no—
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×C4×Dic3—42no—
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373#894—24no—
374#894—42no—
375#889—24no—
376#885—24no—
377#884—24no—
378#883—24no—
379#883—24no—
380#883—42no—
381#67⋊C4—24no—
382#67⋊C4—24no—
383#67⋊C4—42no—
384#67⋊C4—42no—
385#67⋊C4—42no—
386#879—24no—
387#879—24no—
388#878—24no—
389#877—24no—
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
420#540—68no—
421#538—68no—
422C2×#127—31no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#125—31no—
426C2×#124—31no—
427C2×#124—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—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×#121C2×D311yescharacteristic
449C2×#121C2×D311yescharacteristic
450C2×#120—31no—
451C2×#120—31no—
452C2×#120C2×D311yescharacteristic
453C2×#120C2×D311yescharacteristic
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×#117—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C42—31no—
466#400—31no—
467#399C2×D311yescharacteristic
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397C2×D311yescharacteristic
477#397C2×D311yescharacteristic
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#395—31no—
485#394—31no—
486#394—31no—
487#394—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#394C2×D311yescharacteristic
498#394C2×D311yescharacteristic
499#393—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392C2×D311yescharacteristic
506#391—31no—
507#390—31no—
508#390—31no—
509#390—31no—
510#390—31no—
511#390—31no—
512#390—31no—
513#389—31no—
514#389—31no—
515#389—31no—
516#389—31no—
517#389—31no—
518#389—31no—
519#389—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#387—31no—
535#387—31no—
536#387—31no—
537#387—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386C2×D311yescharacteristic
551#386C2×D311yescharacteristic
552#386C2×D311yescharacteristic
553#386C2×D311yescharacteristic
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#381—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#379C2×D311yescharacteristic
568C4×C4⋊C4—31no—
569C4×C4⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C2×#95—31no—
577C24×C3—22no—
578C24×C3—22no—
579C24×C3—41no—
580C24×C3—41no—
581C24×C3—41no—
582C24×C3—41no—
583C24×C3—41no—
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C2×C3×D4—41no—
602C2×C3×D4—41no—
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×D4C2×D414yes—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—41no—
615C22×C3×C4—41no—
616C22×C3×C4—41no—
617C22×C3×C4—41no—
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
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×#67C2×D414yes—
657C2×#67C2×D414yes—
658C22×Dic3—22no—
659C22×Dic3—22no—
660C22×Dic3—22no—
661C22×Dic3—22no—
662C22×Dic3—22no—
663C22×Dic3—22no—
664C22×Dic3—22no—
665C22×Dic3—41no—
666C22×Dic3—41no—
667C22×Dic3—41no—
668C22×Dic3—41no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3C2×D414yes—
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C2×D12—22no—
691C2×D12—41no—
692C2×D12—41no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
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×Dic6—22no—
706C2×Dic6—41no—
707C2×Dic6—41no—
708C3×C4⋊C4—22no—
709C3×C4⋊C4—22no—
710C3×C4⋊C4—41no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—22no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—41no—
719C3×C22⋊C4—41no—
720C3×C22⋊C4—41no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4—41no—
723C3×C22⋊C4—41no—
724C3×C22⋊C4—41no—
725C3×C22⋊C4—41no—
726C3×C22⋊C4—41no—
727#217—22no—
728#217—22no—
729#217—22no—
730#217—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—41no—
746#217—41no—
747#217—41no—
748#217—41no—
749#217C2×D414yes—
750#217#4114yes—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4C2×D414yes—
765C4⋊Dic3—22no—
766C4⋊Dic3—22no—
767C4⋊Dic3—22no—
768C4⋊Dic3—22no—
769C4⋊Dic3—22no—
770C4⋊Dic3—41no—
771C4⋊Dic3—41no—
772C4⋊Dic3—41no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790Dic3⋊C4C2×D414yes—
791C4×Dic3—22no—
792C4×Dic3—22no—
793C4×Dic3—22no—
794C4×Dic3—22no—
795C4×Dic3—22no—
796C4×Dic3—22no—
797C4×Dic3—41no—
798C4×Dic3—41no—
799C4×Dic3—41no—
800C4×Dic3—41no—
801C25C22×D311yescharacteristic
802C22×Q8—31no—
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4C22×D311yescharacteristic
815C22×D4C22×D311yescharacteristic
816C22×D4C22×D311yescharacteristic
817C22×D4C22×D311yescharacteristic
818C22×D4C22×D311yescharacteristic
819C22×D4C22×D311yescharacteristic
820C22×D4C22×D311yescharacteristic
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4C22×D311yescharacteristic
832C23×C4C22×D311yescharacteristic
833#127—64no—
834#126—64no—
835#126—64no—
836#125—64no—
837#124—64no—
838#124—64no—
839#123—64no—
840#123—64no—
841#123—64no—
842#123—64no—
843#123—64no—
844#123—64no—
845#123—122no—
846#123—122no—
847C22⋊Q8—64no—
848C22⋊Q8—122no—
849#121—24no—
850#121—38no—
851#121—42no—
852#121—64no—
853#121—64no—
854#121—64no—
855#121—64no—
856#121—64no—
857#121—64no—
858#121—64no—
859#121—64no—
860#121—122no—
861#120—24no—
862#120—42no—
863#120—64no—
864#120—122no—
865C4×D4—64no—
866C4×D4—64no—
867C4×D4—64no—
868C4×D4—64no—
869C4×D4—122no—
870C4×D4—122no—
871C4×D4—122no—
872C4×D4—122no—
873#117—64no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4C22×D311yescharacteristic
901C2×C4⋊C4C22×D311yescharacteristic
902C2×C4⋊C4C22×D311yescharacteristic
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—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—64no—
942C2×C22⋊C4—64no—
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C42—31no—
960C2×C42—31no—
961C2×C42—31no—
962C2×C42—31no—
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—31no—
966C2×C42—31no—
967C2×C42—31no—
968C2×C42—31no—
969C2×C42—122no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95C22×D311yescharacteristic
995#95C22×D311yescharacteristic
996#95C22×D311yescharacteristic
997#95C22×D311yescharacteristic
998#95C22×D311yescharacteristic
999#95C22×D311yescharacteristic
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×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—44no—
1033C23×C3—44no—
1034C23×C3—82no—
1035C23×C3—82no—
1036C23×C3—82no—
1037C23×C3—82no—
1038C23×C3—82no—
1039C23×C3C22×D412yes—
1040C23×C3C22×D412yes—
1041C23×C3C2×#4112yes—
1042C23×C3C2511yescharacteristic
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3C22×D412yes—
1057C3×D4—44no—
1058C3×D4—44no—
1059C3×D4—82no—
1060C3×D4—82no—
1061C3×D4—82no—
1062C3×D4—82no—
1063C3×D4—82no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—44no—
1093C2×C3×C4—82no—
1094C2×C3×C4C22×D412yes—
1095C2×C3×C4H(5,𝔽2)12yes—
1096#67—44no—
1097#67—44no—
1098#67—44no—
1099#67—44no—
1100#67—44no—
1101#67—44no—
1102#67—82no—
1103#67—82no—
1104#67—82no—
1105#67—82no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—44no—
1143C2×Dic3—44no—
1144C2×Dic3—44no—
1145C2×Dic3—82no—
1146C2×Dic3—82no—
1147C2×Dic3—82no—
1148C2×Dic3C22×D412yes—
1149C2×Dic3C22×D412yes—
1150C2×Dic3C22×D412yes—
1151C2×Dic3C2×#4112yes—
1152C2×Dic3C2×#4112yes—
1153C2×Dic3H(5,𝔽2)12yes—
1154D12—82no—
1155C4×D3—82no—
1156C4×D3—82no—
1157C4×D3—82no—
1158C4×D3—82no—
1159Dic6—82no—
1160C24—22no—
1161C24—22no—
1162C24—31no—
1163C24—31no—
1164C24—41no—
1165C24—41no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24C23×D311yescharacteristic
1170C24C23×D311yescharacteristic
1171C24C23×D311yescharacteristic
1172C24C23×D311yescharacteristic
1173C24C23×D311yescharacteristic
1174C2×Q8—62no—
1175C2×Q8—121no—
1176C2×Q8—121no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—34no—
1185C2×D4—34no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—62no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C2×D4—121no—
1217C2×D4—121no—
1218C2×D4—121no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C2×D4—121no—
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×D4D3×D414yes—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—31no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—34no—
1240C22×C4—31no—
1241C22×C4—31no—
1242C22×C4—31no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—62no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—62no—
1257C22×C4—62no—
1258C22×C4—62no—
1259C22×C4—62no—
1260C22×C4—62no—
1261C22×C4—62no—
1262C22×C4—62no—
1263C22×C4—121no—
1264C22×C4—121no—
1265C22×C4—121no—
1266C22×C4—121no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4—121no—
1270C22×C4—121no—
1271C22×C4—121no—
1272C22×C4—121no—
1273C22×C4—121no—
1274C22×C4—121no—
1275C22×C4—121no—
1276C22×C4—121no—
1277C22×C4—121no—
1278C22×C4—121no—
1279C22×C4—121no—
1280C22×C4—121no—
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C22×C4C23×D311yescharacteristic
1288C22×C4C23×D311yescharacteristic
1289C22×C4C23×D311yescharacteristic
1290C22×C4C23×D311yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—34no—
1294C4⋊C4—41no—
1295C4⋊C4—62no—
1296C4⋊C4—62no—
1297C4⋊C4—62no—
1298C4⋊C4—62no—
1299C4⋊C4—62no—
1300C4⋊C4—62no—
1301C4⋊C4—62no—
1302C4⋊C4—62no—
1303C4⋊C4—62no—
1304C4⋊C4—62no—
1305C4⋊C4—62no—
1306C4⋊C4—62no—
1307C4⋊C4—62no—
1308C4⋊C4—62no—
1309C4⋊C4—62no—
1310C4⋊C4—62no—
1311C4⋊C4—121no—
1312C4⋊C4—121no—
1313C4⋊C4—121no—
1314C4⋊C4—121no—
1315C4⋊C4—121no—
1316C4⋊C4—121no—
1317C4⋊C4—121no—
1318C4⋊C4—121no—
1319C4⋊C4—121no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—34no—
1328C22⋊C4—34no—
1329C22⋊C4—34no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—62no—
1342C22⋊C4—62no—
1343C22⋊C4—62no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—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—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C22⋊C4—121no—
1372C22⋊C4—121no—
1373C22⋊C4—121no—
1374C42—62no—
1375C42—62no—
1376C42—62no—
1377C42—62no—
1378C42—62no—
1379C42—62no—
1380C42—121no—
1381C42—121no—
1382C42—121no—
1383C42—121no—
1384C22×C3—22no—
1385C22×C3—22no—
1386C22×C3—22no—
1387C22×C3—22no—
1388C22×C3—22no—
1389C22×C3—22no—
1390C22×C3—22no—
1391C22×C3—22no—
1392C22×C3—22no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3—41no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
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—88no—
1420C22×C3C23×D411yescharacteristic
1421C22×C3C22×#4111yescharacteristic
1422C22×C3C2×H(5,𝔽2)11yescharacteristic
1423C22×C3C2×H(5,𝔽2)11yescharacteristic
1424C22×C3#58511yescharacteristic
1425C22×C3#58511yescharacteristic
1426C22×C3#58511yescharacteristic
1427C2×D3—22no—
1428C2×D3—22no—
1429C2×D3—22no—
1430C2×D3—41no—
1431C2×D3—41no—
1432C2×D3—41no—
1433C2×D3—41no—
1434C2×D3—41no—
1435C2×D3—41no—
1436C2×D3—41no—
1437C2×D3—41no—
1438C2×D3—41no—
1439C2×D3—41no—
1440C2×D3—41no—
1441C3×C4—22no—
1442C3×C4—22no—
1443C3×C4—41no—
1444C3×C4—41no—
1445C3×C4—41no—
1446C3×C4—41no—
1447C3×C4—41no—
1448C3×C4—41no—
1449C3×C4—41no—
1450C3×C4—41no—
1451Dic3—22no—
1452Dic3—22no—
1453Dic3—22no—
1454Dic3—22no—
1455Dic3—22no—
1456Dic3—22no—
1457Dic3—41no—
1458Dic3—41no—
1459Dic3—41no—
1460Dic3—41no—
1461Dic3—41no—
1462Dic3—41no—
1463Dic3—41no—
1464Dic3—41no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
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—32no—
1498C23—44no—
1499C23—44no—
1500C23—61no—
1501C23—61no—
1502C23—61no—
1503C23—61no—
1504C23—61no—
1505C23—61no—
1506C23—61no—
1507C23—61no—
1508C23—61no—
1509C23—61no—
1510C23—61no—
1511C23—61no—
1512C23—61no—
1513C23—82no—
1514C23—82no—
1515C23—82no—
1516C23—82no—
1517C23—82no—
1518C23C2×D3×D412yes—
1519C23C2×D3×D412yes—
1520C23D3×#4112yes—
1521C23C24×D311yescharacteristic
1522Q8—242no—
1523D4—44no—
1524D4—44no—
1525D4—82no—
1526D4—82no—
1527D4—82no—
1528D4—82no—
1529D4—82no—
1530D4—124no—
1531D4—124no—
1532D4—124no—
1533D4—124no—
1534D4—124no—
1535D4—124no—
1536D4—242no—
1537D4—242no—
1538D4—242no—
1539D4—242no—
1540D4—242no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—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—32no—
1570C2×C4—32no—
1571C2×C4—32no—
1572C2×C4—32no—
1573C2×C4—32no—
1574C2×C4—32no—
1575C2×C4—44no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—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—82no—
1613C2×C4—124no—
1614C2×C4—124no—
1615C2×C4—124no—
1616C2×C4—242no—
1617C2×C4—242no—
1618C2×C4—242no—
1619C2×C4—242no—
1620C2×C4—242no—
1621C2×C4—242no—
1622C2×C4—242no—
1623C2×C4C2×D3×D412yes—
1624C2×C4#100412yes—
1625C2×C3—42no—
1626C2×C3—42no—
1627C2×C3—42no—
1628C2×C3—81no—
1629C2×C3—81no—
1630C2×C3#345511yescharacteristic
1631C2×C3D4×#4111yescharacteristic
1632C2×C3#349611yescharacteristic
1633C2×C3#349611yescharacteristic
1634C2×C3#351911yescharacteristic
1635C2×C3#353311yescharacteristic
1636C2×C3#356211yescharacteristic
1637D3—42no—
1638D3—81no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
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—62no—
1675C22—62no—
1676C22—62no—
1677C22—88no—
1678C22—121no—
1679C22—121no—
1680C22—121no—
1681C22—121no—
1682C22—121no—
1683C22—121no—
1684C22—121no—
1685C22—121no—
1686C22—121no—
1687C22—121no—
1688C22—121no—
1689C22C22×D3×D411yescharacteristic
1690C22C2×#100411yescharacteristic
1691C22C2×D3×#4111yescharacteristic
1692C22D3×H(5,𝔽2)11yescharacteristic
1693C22#596611yescharacteristic
1694C22#596611yescharacteristic
1695C22#596611yescharacteristic
1696C4—22no—
1697C4—22no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—62no—
1707C4—62no—
1708C4—62no—
1709C4—62no—
1710C4—62no—
1711C4—62no—
1712C4—121no—
1713C4—121no—
1714C4—121no—
1715C4—121no—
1716C4—121no—
1717C4—121no—
1718C4—121no—
1719C4—121no—
1720C3#3939211yescharacteristic, complemented, Sylow
1721C2—42no—
1722C2—42no—
1723C2—42no—
1724C2—81no—
1725C2—81no—
1726C2—122no—
1727C2—241no—
1728C2#8629811yescharacteristic
1729C2#8630011yescharacteristic
1730C2#8638711yescharacteristic
1731C2#8662111yescharacteristic
1732C2#8662611yescharacteristic
1733C2#8664011yescharacteristic
1734C2#8707711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2668C2
hypercenter#2668D3
hypocenterC3#39392
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2668

Complements

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

NH ≅ G/Ntype
1. C2×#5615C2semidirect
2. C2×#5593C2semidirect
3. C3×#2668C2semidirect
4. #82717C2semidirect
5. #82699C2semidirect
6. #82647C2semidirect
7. #82587C2semidirect
8. #82586C2semidirect
9. #82586C2semidirect
10. #78039C2semidirect
11. #78024C2semidirect
12. #77672C2semidirect
13. #77596C2semidirect
14. #77517C2semidirect
15. #77478C2semidirect
16. #77115C2semidirect
17. #77021C2semidirect
18. #76975C2semidirect
19. #76953C2semidirect
20. #76699C2semidirect
21. #76671C2semidirect
22. #74927C2semidirect
23. #74881C2semidirect
24. #74796C2semidirect
25. #74794C2semidirect
26. #74755C2semidirect
27. #74718C2semidirect
28. #74660C2semidirect
29. #74660C2semidirect
30. #73858C2semidirect
31. #73822C2semidirect
41. C2×#940C22semidirect
53. C2×#935C22semidirect
56. C2×#929C22semidirect
57. C2×C4×#67C22semidirect
58. C2×#924C22semidirect
59. C22×C4×Dic3C22semidirect
62. C2×#894C22semidirect
63. C2×#894C22semidirect
64. C2×#889C22semidirect
69. C2×#883C22semidirect
73. C2×#67⋊C4C22semidirect
74. C2×#67⋊C4C22semidirect
96. #5222C22semidirect
102. #5220C22semidirect
103. #5213C22semidirect
104. #5213C22semidirect
105. #5212C22semidirect
106. C4×#217C22semidirect
107. #4989C22semidirect
108. #4989C22semidirect
109. #4984C22semidirect
110. #4983C22semidirect
111. #4980C22semidirect
112. #4973C22semidirect
113. #4972C22semidirect
114. #4972C22semidirect
115. #4972C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
125. #4959C22semidirect
130. #4957C22semidirect
134. #4956C22semidirect
135. #4953C22semidirect
137. #4952C22semidirect
138. #4951C22semidirect
145. #4948C22semidirect
157. #4944C22semidirect
158. #4944C22semidirect
161. #4942C22semidirect
162. #4942C22semidirect
166. #4676C22semidirect
167. #4675C22semidirect
168. #4673C22semidirect
169. #4670C22semidirect
170. #4670C22semidirect
171. #4670C22semidirect
172. #4668C22semidirect
173. #4666C22semidirect
174. #4666C22semidirect
175. #4665C22semidirect
176. D3×#95C22semidirect
177. #4660C22semidirect
178. #4657C22semidirect
179. #4657C22semidirect
180. #4657C22semidirect
181. #4656C22semidirect
182. #4654C22semidirect
183. #4653C22semidirect
184. #4652C22semidirect
185. #4649C22semidirect
186. #4649C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
200. #2668D3semidirect
310. #939D4semidirect
1720. C3#39392semidirect

Maximal subgroups

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

subgroupindex
C2×#56152
C2×#55932
C3×#26682
#827172
#826992
#826472
#825872
#825862
#780392
#780242
#776722
#775962
#775172
#774782
#771152
#770212
#769752
#769532
#766992
#766712
#749272
#748812
#747962
#747942
#747552
#747182
#746602
#738582
#738222
#393923