Finite Group Databasebeta

← #11098005

Subgroups — #11098005

Order 768.

2436 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5678C211yesmaximal, characteristic, complemented
2C2×#5552C211yesmaximal, characteristic, complemented
3C3×#2459C211yesmaximal, characteristic, complemented
4#82997C211yesmaximal, characteristic, complemented
5#82364C211yesmaximal, characteristic, complemented
6#77129C211yesmaximal, characteristic, complemented
7#77018C211yesmaximal, characteristic, complemented
8#76996C211yesmaximal, characteristic, complemented
9#76994C211yesmaximal, characteristic, complemented
10#76885C211yesmaximal, characteristic, complemented
11#76879C211yesmaximal, characteristic, complemented
12#76772C211yesmaximal, characteristic, complemented
13#76743C211yesmaximal, characteristic, complemented
14#76650C211yesmaximal, characteristic, complemented
15#76555C211yesmaximal, characteristic, complemented
16#75913C211yesmaximal, characteristic, complemented
17#75890C211yesmaximal, characteristic, complemented
18#75653C211yesmaximal, characteristic, complemented
19#75512C211yesmaximal, characteristic, complemented
20#75503C211yesmaximal, characteristic, complemented
21#75476C211yesmaximal, characteristic, complemented
22#75379C211yesmaximal, characteristic, complemented
23#75359C211yesmaximal, characteristic, complemented
24#74917C211yesmaximal, characteristic, complemented
25#74886C211yesmaximal, characteristic, complemented
26#74718C211yesmaximal, characteristic, complemented
27#74701C211yesmaximal, characteristic, complemented
28#74135C211yesmaximal, characteristic, complemented
29#74097C211yesmaximal, characteristic, complemented
30#73580C211yesmaximal, characteristic, complemented
31#73538C211yesmaximal, characteristic, complemented
32#40507—31nomaximal, Sylow
33C22×#235C2211yescharacteristic
34C23×Dic6C2211yescharacteristic, complemented
35C2×C3×#124C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic, complemented
37C2×#947C2211yescharacteristic
38C2×#946C2211yescharacteristic
39C2×#939C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#939C2211yescharacteristic, complemented
42C2×#937C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#930C2211yescharacteristic
45C2×#929C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic, complemented
47C2×#924C2211yescharacteristic, complemented
48#5678—28no—
49#5552—28no—
50C2×#896C2211yescharacteristic
51C2×#896C2211yescharacteristic, complemented
52C2×#886C2211yescharacteristic
53C2×#886C2211yescharacteristic
54C2×#885C2211yescharacteristic
55C2×#885C2211yescharacteristic
56C2×#885C2211yescharacteristic
57C2×#885C2211yescharacteristic, complemented
58C2×#884C2211yescharacteristic
59C2×#884C2211yescharacteristic
60C2×#883C2211yescharacteristic
61C2×#882C2211yescharacteristic
62C2×#882C2211yescharacteristic
63C2×#67⋊C4C2211yescharacteristic
64C2×#67⋊C4C2211yescharacteristic, complemented
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×#879C2211yescharacteristic
67C2×#876C2211yescharacteristic
68C2×#875C2211yescharacteristic
69C2×C4×D12C2211yescharacteristic
70C2×C4×D12C2211yescharacteristic, complemented
71C2×C4×Dic6C2211yescharacteristic, complemented
72C3×#394C2211yescharacteristic
73C3×#394C2211yescharacteristic, complemented
74C3×#393C2211yescharacteristic, complemented
75C3×#392C2211yescharacteristic
76C3×#391C2211yescharacteristic, complemented
77C3×#388C2211yescharacteristic
78C3×#388C2211yescharacteristic
79C3×#388C2211yescharacteristic, complemented
80C3×#387C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic
83C3×#381C2211yescharacteristic, complemented
84C3×C4×C22⋊C4C2211yescharacteristic, complemented
85#5231C2211yescharacteristic, complemented
86#5229C2211yescharacteristic, complemented
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic, complemented
92#5221C2211yescharacteristic
93#5220C2211yescharacteristic
94#5213C2211yescharacteristic
95#5213C2211yescharacteristic, complemented
96#4994C2211yescharacteristic, complemented
97#4991C2211yescharacteristic
98#4990C2211yescharacteristic
99#4990C2211yescharacteristic
100#4989C2211yescharacteristic, complemented
101#4988C2211yescharacteristic
102#4988C2211yescharacteristic
103#4983C2211yescharacteristic, complemented
104#4982C2211yescharacteristic, complemented
105Dic3×C4⋊C4C2211yescharacteristic, complemented
106#4961C2211yescharacteristic
107#4961C2211yescharacteristic
108#4961C2211yescharacteristic, complemented
109#4960C2211yescharacteristic
110#4960C2211yescharacteristic
111#4960C2211yescharacteristic
112#4960C2211yescharacteristic
113#4960C2211yescharacteristic
114#4960C2211yescharacteristic, complemented
115#4960C2211yescharacteristic, complemented
116#4959C2211yescharacteristic
117#4959C2211yescharacteristic, complemented
118#4959C2211yescharacteristic, complemented
119#4958C2211yescharacteristic, complemented
120#4957C2211yescharacteristic
121#4957C2211yescharacteristic
122#4957C2211yescharacteristic
123#4957C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4955C2211yescharacteristic
127#4955C2211yescharacteristic
128#4952C2211yescharacteristic
129#4952C2211yescharacteristic, complemented
130#4951C2211yescharacteristic, complemented
131#4951C2211yescharacteristic, complemented
132#4948C2211yescharacteristic
133#4948C2211yescharacteristic
134#4948C2211yescharacteristic, complemented
135#4947C2211yescharacteristic
136#4947C2211yescharacteristic
137#4945C2211yescharacteristic
138#4944C2211yescharacteristic
139#4944C2211yescharacteristic, complemented
140#4943C2211yescharacteristic, complemented
141#4943C2211yescharacteristic, complemented
142Dic3×C22⋊C4C2211yescharacteristic, complemented
143#4940C2211yescharacteristic
144#4939C2211yescharacteristic
145C4×(C2×D3)⋊C4C2211yescharacteristic
146C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
147#4933C2211yescharacteristic, complemented
148#4933C2211yescharacteristic, complemented
149C4×Dic3⋊C4C2211yescharacteristic, complemented
150#4675C2211yescharacteristic
151#4675C2211yescharacteristic
152#4675C2211yescharacteristic, complemented
153#4675C2211yescharacteristic, complemented
154#4674C2211yescharacteristic
155#4673C2211yescharacteristic
156#4673C2211yescharacteristic
157#4673C2211yescharacteristic
158#4673C2211yescharacteristic
159#4673C2211yescharacteristic, complemented
160#4673C2211yescharacteristic, complemented
161#4672C2211yescharacteristic
162#4672C2211yescharacteristic
163#4672C2211yescharacteristic
164#4672C2211yescharacteristic, complemented
165#4671C2211yescharacteristic
166#4671C2211yescharacteristic
167#4670C2211yescharacteristic
168#4670C2211yescharacteristic
169#4670C2211yescharacteristic, complemented
170#4670C2211yescharacteristic, complemented
171#4669C2211yescharacteristic
172#4669C2211yescharacteristic, complemented
173#4669C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4664C2211yescharacteristic
178#4664C2211yescharacteristic
179#4664C2211yescharacteristic
180#4657C2211yescharacteristic, complemented
181#4656C2211yescharacteristic, complemented
182#4656C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4650C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#548—31no—
191C2×#538—31no—
192#2819—31no—
193#2815—31no—
194#2700—31no—
195#2700—31no—
196#2699—31no—
197#2699—31no—
198#2678—31no—
199#2678—31no—
200#2670—31no—
201#2670—31no—
202#2662—31no—
203#2661—31no—
204#2638—31no—
205#2637—31no—
206#2614—31no—
207#2592—31no—
208#2561—31no—
209#2560—31no—
210#2560—31no—
211#2461—31no—
212#2461—31no—
213#2459—31no—
214#2459D311yescharacteristic, complemented
215#2456—31no—
216#2456—31no—
217#2436—31no—
218#2404—31no—
219#2388—31no—
220#2357—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C2×#235—24no—
241C2×#235—42no—
242C2×#235—42no—
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×Dic6—24no—
253C22×Dic6—42no—
254C22×Dic6—42no—
255C22×Dic6C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C22×Dic6C2311yescharacteristic
258C22×Dic6C2311yescharacteristic
259C3×#124—24no—
260C3×C4×D4—24no—
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C42C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279C2×C3×C42C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291#947—24no—
292#946—24no—
293#939—24no—
294#939—24no—
295#939—24no—
296#937—24no—
297#937—42no—
298#930—24no—
299#929—42no—
300C4×#67—42no—
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341#924—24no—
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361#896—24no—
362#896—24no—
363#886—24no—
364#886—42no—
365#885—24no—
366#885—24no—
367#885—42no—
368#885—42no—
369#884—24no—
370#884—24no—
371#883—24no—
372#882—24no—
373#882—42no—
374#67⋊C4—24no—
375#67⋊C4D418yescomplemented
376D3×C22⋊C4—24no—
377#879—24no—
378#876—24no—
379#875—24no—
380C4×D12—24no—
381C4×D12—42no—
382C4×Dic6—24no—
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C22×#41—31no—
418C23×Q8—31no—
419#548—68no—
420#538—68no—
421C2×#126—31no—
422C2×#126—31no—
423C2×#124—31no—
424C2×#124—31no—
425C2×#124—31no—
426C2×#124—31no—
427C2×#124—31no—
428C2×#124—31no—
429C2×#124C2×D311yescharacteristic
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—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×#120—31no—
445C2×#120—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×C4×Q8—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4C2×D311yescharacteristic, complemented
455C22×C22⋊C4—31no—
456#398—31no—
457#398—31no—
458#398—31no—
459#397—31no—
460#397—31no—
461#397—31no—
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#396—31no—
467#396—31no—
468#396—31no—
469#396—31no—
470#395—31no—
471#395—31no—
472#395—31no—
473#395—31no—
474#394—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394C2×D311yescharacteristic
486#394C2×D311yescharacteristic, complemented
487#393—31no—
488#393—31no—
489#393—31no—
490#393—31no—
491#393—31no—
492#393—31no—
493#393—31no—
494#393—31no—
495#393—31no—
496#393C2×D311yescharacteristic, complemented
497#392—31no—
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392C2×D311yescharacteristic
512#391—31no—
513#391—31no—
514#391—31no—
515#391C2×D311yescharacteristic, complemented
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—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#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388C2×D311yescharacteristic
540#388C2×D311yescharacteristic
541#388C2×D311yescharacteristic, complemented
542#387—31no—
543#387—31no—
544#387—31no—
545#387C2×D311yescharacteristic, complemented
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386C2×D311yescharacteristic
555#386C2×D311yescharacteristic
556#385—31no—
557#385—31no—
558#382—31no—
559#381—31no—
560#381—31no—
561#381—31no—
562#381—31no—
563#381—31no—
564#381C2×D311yescharacteristic, complemented
565#379—31no—
566#379—31no—
567C4×C4⋊C4—31no—
568C4×C4⋊C4—31no—
569C4×C4⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4C2×D311yescharacteristic, complemented
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C24×C3C2411yescharacteristic
577C23×D3—22no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C2×C3×Q8—22no—
589C2×C3×Q8—41no—
590C2×C3×Q8—41no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—41no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
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×#67C2×D414yes—
648C22×Dic3—22no—
649C22×Dic3—22no—
650C22×Dic3—41no—
651C22×Dic3—41no—
652C22×Dic3—41no—
653C22×Dic3C2×D414yes—
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666#235—416no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—41no—
672C2×D12—41no—
673C2×D12—41no—
674C2×D12—41no—
675C2×D12—41no—
676C2×D12—41no—
677C2×D12—41no—
678C2×D12—41no—
679C2×D12—41no—
680C2×D12—41no—
681C2×D12—41no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3C2×D414yes—
694C2×Dic6—22no—
695C2×Dic6—22no—
696C2×Dic6—22no—
697C2×Dic6—22no—
698C2×Dic6—22no—
699C2×Dic6—22no—
700C2×Dic6—22no—
701C2×Dic6—22no—
702C2×Dic6—416no—
703C2×Dic6—41no—
704C2×Dic6—41no—
705C2×Dic6—41no—
706C2×Dic6—41no—
707C3×C4⋊C4—22no—
708C3×C4⋊C4—41no—
709C3×C4⋊C4—41no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—41no—
716C3×C22⋊C4—41no—
717C3×C22⋊C4—41no—
718C3×C22⋊C4—41no—
719C3×C22⋊C4—41no—
720C3×C22⋊C4—41no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4C2×D414yes—
723C3×C42—22no—
724C3×C42—22no—
725C3×C42—41no—
726#217—22no—
727#217—22no—
728#217—22no—
729#217—22no—
730#217—22no—
731#217—41no—
732#217—41no—
733#217—41no—
734#217—41no—
735#217—41no—
736#217—41no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4C2×D414yes—
771C4⋊Dic3—22no—
772C4⋊Dic3—22no—
773C4⋊Dic3—22no—
774C4⋊Dic3—22no—
775C4⋊Dic3—41no—
776C4⋊Dic3—41no—
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⋊C4C2×D414yes—
789C4×Dic3—22no—
790C4×Dic3—41no—
791C4×Dic3—41no—
792C4×Dic3—41no—
793C4×Dic3—41no—
794C4×Dic3—41no—
795C4×Dic3C2×D414yes—
796C25—31no—
797C2×#41—64no—
798C2×#41—122no—
799C2×#41—122no—
800C22×Q8—31no—
801C22×Q8—31no—
802C22×Q8—31no—
803C22×Q8—31no—
804C22×Q8—64no—
805C22×Q8—122no—
806C22×Q8—122no—
807C22×Q8C22×D311yescharacteristic
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4C22×D311yescharacteristic
824C22×D4C22×D311yescharacteristic
825C22×D4C22×D311yescharacteristic
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4C22×D311yescharacteristic
833C23×C4C22×D311yescharacteristic
834#126—64no—
835#126—64no—
836#124—24no—
837#124—64no—
838#124—64no—
839#124—64no—
840#124—64no—
841#124—122no—
842#124—122no—
843#123—64no—
844#123—64no—
845#123—122no—
846#123—122no—
847C22⋊Q8—64no—
848C22⋊Q8—64no—
849C22⋊Q8—64no—
850C22⋊Q8—64no—
851#121—64no—
852#121—64no—
853#121—64no—
854#121—64no—
855#121—64no—
856#121—64no—
857#120—64no—
858#120—64no—
859#120—122no—
860#120—122no—
861C4×Q8—64no—
862C4×D4—24no—
863C4×D4—38no—
864C4×D4—64no—
865C4×D4—64no—
866C4×D4—122no—
867C4×D4—122no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4C22×D311yescharacteristic
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—64no—
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C22⋊C4C22×D311yescharacteristic
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C42—31no—
949C2×C42—31no—
950C2×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—31no—
954C2×C42—31no—
955C2×C42C22×D311yescharacteristic
956C2×C42C22×D311yescharacteristic
957C2×C42C22×D311yescharacteristic
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95C22×D311yescharacteristic
983#95C22×D311yescharacteristic
984#95C22×D311yescharacteristic
985#95C22×D311yescharacteristic
986#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×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×C3C22×D412yes—
1013C23×C3C2511yescharacteristic
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—44no—
1042C22×D3—82no—
1043C22×D3—82no—
1044C22×D3—82no—
1045C22×D3—82no—
1046C22×D3—82no—
1047C22×D3—82no—
1048C22×D3C22×D412yes—
1049C3×Q8—82no—
1050C3×D4—44no—
1051C3×D4—82no—
1052C3×D4—82no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—44no—
1087C2×C3×C4—44no—
1088C2×C3×C4C22×D412yes—
1089C2×C3×C4C22×D412yes—
1090C2×C3×C4H(5,𝔽2)12yes—
1091#67—44no—
1092#67—44no—
1093#67—44no—
1094#67—44no—
1095#67—44no—
1096#67—82no—
1097#67—82no—
1098#67—82no—
1099#67—82no—
1100#67—82no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—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—44no—
1134C2×Dic3—44no—
1135C2×Dic3C22×D412yes—
1136C2×Dic3C22×D412yes—
1137C2×Dic3C22×D412yes—
1138C2×Dic3H(5,𝔽2)12yes—
1139D12—44no—
1140D12—44no—
1141D12—44no—
1142D12—82no—
1143D12—82no—
1144C4×D3—44no—
1145C4×D3—44no—
1146C4×D3—82no—
1147C4×D3—82no—
1148Dic6—28no—
1149Dic6—44no—
1150Dic6—44no—
1151Dic6—44no—
1152C24—31no—
1153C24—31no—
1154C24—31no—
1155C24—31no—
1156C24—62no—
1157C24—121no—
1158C24—121no—
1159C24—121no—
1160C24—121no—
1161C24—121no—
1162C24—121no—
1163C24C23×D311yescharacteristic
1164C24C23×D311yescharacteristic
1165C24C23×D311yescharacteristic
1166#41—1216no—
1167C2×Q8—22no—
1168C2×Q8—41no—
1169C2×Q8—41no—
1170C2×Q8—62no—
1171C2×Q8—62no—
1172C2×Q8—62no—
1173C2×Q8—62no—
1174C2×Q8—62no—
1175C2×Q8—62no—
1176C2×Q8—62no—
1177C2×Q8—62no—
1178C2×Q8—121no—
1179C2×Q8—121no—
1180C2×Q8—121no—
1181C2×Q8—121no—
1182C2×Q8—1216no—
1183C2×D4—22no—
1184C2×D4—22no—
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—62no—
1194C2×D4—62no—
1195C2×D4—62no—
1196C2×D4—62no—
1197C2×D4—62no—
1198C2×D4—62no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—121no—
1205C2×D4—121no—
1206C2×D4—121no—
1207C2×D4—121no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—121no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C2×D4—121no—
1217C2×D4—121no—
1218C2×D4—121no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C2×D4—121no—
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—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—31no—
1242C22×C4—31no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—34no—
1246C22×C4—34no—
1247C22×C4—31no—
1248C22×C4—31no—
1249C22×C4—31no—
1250C22×C4—31no—
1251C22×C4—31no—
1252C22×C4—31no—
1253C22×C4—31no—
1254C22×C4—31no—
1255C22×C4—41no—
1256C22×C4—41no—
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×C4C23×D311yescharacteristic
1274C22×C4C23×D311yescharacteristic
1275C22×C4C23×D311yescharacteristic
1276C22×C4C23×D311yescharacteristic
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C4⋊C4—22no—
1286C4⋊C4—34no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—62no—
1290C4⋊C4—62no—
1291C4⋊C4—62no—
1292C4⋊C4—62no—
1293C4⋊C4—62no—
1294C4⋊C4—62no—
1295C4⋊C4—62no—
1296C4⋊C4—62no—
1297C4⋊C4—62no—
1298C4⋊C4—62no—
1299C4⋊C4—62no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C4⋊C4—121no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—34no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—121no—
1341C22⋊C4—121no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4D3×D414yes—
1364C42—22no—
1365C42—22no—
1366C42—34no—
1367C42—41no—
1368C42—62no—
1369C42—121no—
1370C42—121no—
1371C42—121no—
1372C42—121no—
1373C42—121no—
1374C22×C3—22no—
1375C22×C3—22no—
1376C22×C3—22no—
1377C22×C3—41no—
1378C22×C3—41no—
1379C22×C3—41no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3C23×D411yescharacteristic
1396C22×C3C2×H(5,𝔽2)11yescharacteristic
1397C22×C3C2×H(5,𝔽2)11yescharacteristic
1398C22×C3#58511yescharacteristic
1399C22×C3#58511yescharacteristic
1400C22×C3#58511yescharacteristic
1401C22×C3#58511yescharacteristic
1402C2×D3—22no—
1403C2×D3—22no—
1404C2×D3—22no—
1405C2×D3—41no—
1406C2×D3—41no—
1407C2×D3—41no—
1408C2×D3—41no—
1409C2×D3—41no—
1410C2×D3—41no—
1411C2×D3—41no—
1412C2×D3—41no—
1413C2×D3—41no—
1414C2×D3—41no—
1415C2×D3—41no—
1416C2×D3—41no—
1417C2×D3—41no—
1418C2×D3—41no—
1419C2×D3—41no—
1420C2×D3—41no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—41no—
1427C2×D3—41no—
1428C2×D3—41no—
1429C2×D3—41no—
1430C2×D3—88no—
1431C3×C4—22no—
1432C3×C4—22no—
1433C3×C4—22no—
1434C3×C4—41no—
1435C3×C4—41no—
1436C3×C4—41no—
1437C3×C4—41no—
1438C3×C4—41no—
1439C3×C4—41no—
1440C3×C4—41no—
1441C3×C4—41no—
1442C3×C4—41no—
1443Dic3—22no—
1444Dic3—22no—
1445Dic3—22no—
1446Dic3—22no—
1447Dic3—41no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
1451Dic3—41no—
1452Dic3—41no—
1453Dic3—41no—
1454Dic3—41no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—32no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—61no—
1480C23—61no—
1481C23—61no—
1482C23—61no—
1483C23—61no—
1484C23—61no—
1485C23—61no—
1486C23—61no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—61no—
1499C23—61no—
1500C23—61no—
1501C23—61no—
1502C23—61no—
1503C23—124no—
1504C23—242no—
1505C23—242no—
1506C23—242no—
1507C23—242no—
1508C23—242no—
1509C23—242no—
1510C23C2×D3×D412yes—
1511C23C24×D311yescharacteristic
1512Q8—68no—
1513Q8—82no—
1514Q8—124no—
1515Q8—124no—
1516Q8—124no—
1517D4—44no—
1518D4—82no—
1519D4—82no—
1520D4—124no—
1521D4—124no—
1522D4—124no—
1523D4—124no—
1524D4—124no—
1525D4—124no—
1526D4—124no—
1527D4—124no—
1528D4—242no—
1529D4—242no—
1530D4—242no—
1531D4—242no—
1532D4—242no—
1533D4—242no—
1534D4—242no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—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—32no—
1569C2×C4—32no—
1570C2×C4—32no—
1571C2×C4—32no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—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—124no—
1607C2×C4—124no—
1608C2×C4—124no—
1609C2×C4—124no—
1610C2×C4—242no—
1611C2×C4—242no—
1612C2×C4C2×D3×D412yes—
1613C2×C4C2×D3×D412yes—
1614C2×C4#100912yes—
1615C2×C3—42no—
1616C2×C3—81no—
1617C2×C3—81no—
1618C2×C3#344911yescharacteristic
1619C2×C3#348411yescharacteristic
1620C2×C3#350011yescharacteristic
1621C2×C3#354011yescharacteristic
1622C2×C3#354011yescharacteristic
1623C2×C3#356211yescharacteristic
1624C2×C3#356211yescharacteristic
1625D3—42no—
1626D3—81no—
1627D3—81no—
1628D3—81no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—62no—
1651C22—62no—
1652C22—62no—
1653C22—121no—
1654C22—121no—
1655C22—121no—
1656C22—121no—
1657C22—121no—
1658C22—121no—
1659C22—121no—
1660C22—121no—
1661C22—121no—
1662C22—121no—
1663C22—121no—
1664C22—121no—
1665C22—121no—
1666C22—121no—
1667C22—121no—
1668C22—121no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22—121no—
1675C22—121no—
1676C22—121no—
1677C22—121no—
1678C22—248no—
1679C22C22×D3×D411yescharacteristic
1680C22C2×#100911yescharacteristic
1681C22#596411yescharacteristic
1682C22#596411yescharacteristic
1683C22#596411yescharacteristic
1684C22D3×H(5,𝔽2)11yescharacteristic
1685C22#596611yescharacteristic
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—62no—
1699C4—62no—
1700C4—62no—
1701C4—62no—
1702C4—121no—
1703C4—121no—
1704C4—121no—
1705C4—121no—
1706C4—121no—
1707C4—121no—
1708C4—121no—
1709C4—121no—
1710C3#4050711yescharacteristic, complemented, Sylow
1711C2—42no—
1712C2—81no—
1713C2—81no—
1714C2—122no—
1715C2—241no—
1716C2—241no—
1717C2—241no—
1718C2#8603511yescharacteristic
1719C2#8617911yescharacteristic
1720C2#8640611yescharacteristic
1721C2#8663211yescharacteristic
1722C2#8666211yescharacteristic
1723C2#8697411yescharacteristic
1724C2#8705711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2459C2
hypercenter#2459D3
hypocenterC3#40507
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2459

Complements

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

NH ≅ G/Ntype
1. C2×#5678C2semidirect
2. C2×#5552C2semidirect
3. C3×#2459C2semidirect
4. #82997C2semidirect
5. #82364C2semidirect
6. #77129C2semidirect
7. #77018C2semidirect
8. #76996C2semidirect
9. #76994C2semidirect
10. #76885C2semidirect
11. #76879C2semidirect
12. #76772C2semidirect
13. #76743C2semidirect
14. #76650C2semidirect
15. #76555C2semidirect
16. #75913C2semidirect
17. #75890C2semidirect
18. #75653C2semidirect
19. #75512C2semidirect
20. #75503C2semidirect
21. #75476C2semidirect
22. #75379C2semidirect
23. #75359C2semidirect
24. #74917C2semidirect
25. #74886C2semidirect
26. #74718C2semidirect
27. #74701C2semidirect
28. #74135C2semidirect
29. #74097C2semidirect
30. #73580C2semidirect
31. #73538C2semidirect
34. C23×Dic6C22semidirect
36. C2×C3×C4×D4C22semidirect
41. C2×#939C22semidirect
46. C2×C4×#67C22semidirect
47. C2×#924C22semidirect
51. C2×#896C22semidirect
57. C2×#885C22semidirect
64. C2×#67⋊C4C22semidirect
70. C2×C4×D12C22semidirect
71. C2×C4×Dic6C22semidirect
73. C3×#394C22semidirect
74. C3×#393C22semidirect
76. C3×#391C22semidirect
79. C3×#388C22semidirect
80. C3×#387C22semidirect
83. C3×#381C22semidirect
84. C3×C4×C22⋊C4C22semidirect
85. #5231C22semidirect
86. #5229C22semidirect
91. #5223C22semidirect
95. #5213C22semidirect
96. #4994C22semidirect
100. #4989C22semidirect
103. #4983C22semidirect
104. #4982C22semidirect
105. Dic3×C4⋊C4C22semidirect
108. #4961C22semidirect
114. #4960C22semidirect
115. #4960C22semidirect
117. #4959C22semidirect
118. #4959C22semidirect
119. #4958C22semidirect
129. #4952C22semidirect
130. #4951C22semidirect
131. #4951C22semidirect
134. #4948C22semidirect
139. #4944C22semidirect
140. #4943C22semidirect
141. #4943C22semidirect
142. Dic3×C22⋊C4C22semidirect
146. C4×(C2×D3)⋊C4C22semidirect
147. #4933C22semidirect
148. #4933C22semidirect
149. C4×Dic3⋊C4C22semidirect
152. #4675C22semidirect
153. #4675C22semidirect
159. #4673C22semidirect
160. #4673C22semidirect
164. #4672C22semidirect
169. #4670C22semidirect
170. #4670C22semidirect
172. #4669C22semidirect
173. #4669C22semidirect
174. #4668C22semidirect
180. #4657C22semidirect
181. #4656C22semidirect
182. #4656C22semidirect
183. #4656C22semidirect
184. #4656C22semidirect
185. #4653C22semidirect
186. #4650C22semidirect
187. #4649C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
214. #2459D3semidirect
375. #67⋊C4D4semidirect
454. C2×C4×D4C2×D3semidirect
486. #394C2×D3semidirect
496. #393C2×D3semidirect
515. #391C2×D3semidirect
541. #388C2×D3semidirect
545. #387C2×D3semidirect
564. #381C2×D3semidirect
573. C4×C22⋊C4C2×D3semidirect
1710. C3#40507semidirect

Maximal subgroups

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

subgroupindex
C2×#56782
C2×#55522
C3×#24592
#829972
#823642
#771292
#770182
#769962
#769942
#768852
#768792
#767722
#767432
#766502
#765552
#759132
#758902
#756532
#755122
#755032
#754762
#753792
#753592
#749172
#748862
#747182
#747012
#741352
#740972
#735802
#735382
#405073