Finite Group Databasebeta

← #11301788

Subgroups — #11301788

Order 768.

2510 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5634C211yesmaximal, characteristic, complemented
2C2×#5555C211yesmaximal, characteristic, complemented
3C3×#2463C211yesmaximal, characteristic, complemented
4#82829C211yesmaximal, characteristic, complemented
5#82815C211yesmaximal, characteristic, complemented
6#82797C211yesmaximal, characteristic, complemented
7#82407C211yesmaximal, characteristic, complemented
8#82368C211yesmaximal, characteristic, complemented
9#82353C211yesmaximal, characteristic, complemented
10#77112C211yesmaximal, characteristic, complemented
11#77006C211yesmaximal, characteristic, complemented
12#76970C211yesmaximal, characteristic, complemented
13#76894C211yesmaximal, characteristic, complemented
14#76878C211yesmaximal, characteristic, complemented
15#76827C211yesmaximal, characteristic, complemented
16#76754C211yesmaximal, characteristic, complemented
17#76668C211yesmaximal, characteristic, complemented
18#75922C211yesmaximal, characteristic, complemented
19#75881C211yesmaximal, characteristic, complemented
20#75706C211yesmaximal, characteristic, complemented
21#75669C211yesmaximal, characteristic, complemented
22#75394C211yesmaximal, characteristic, complemented
23#75379C211yesmaximal, characteristic, complemented
24#75314C211yesmaximal, characteristic, complemented
25#75177C211yesmaximal, characteristic, complemented
26#74894C211yesmaximal, characteristic, complemented
27#74891C211yesmaximal, characteristic, complemented
28#74809C211yesmaximal, characteristic, complemented
29#74710C211yesmaximal, characteristic, complemented
30#74632C211yesmaximal, characteristic, complemented
31#74422C211yesmaximal, characteristic, complemented
32#47832—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×#237C2211yescharacteristic, complemented
35C2×C3×C22⋊Q8C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic, complemented
37C2×C3×C4×D4C2211yescharacteristic
38C2×C3×C4×D4C2211yescharacteristic, complemented
39C2×#946C2211yescharacteristic
40C2×#946C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×D4×Dic3C2211yescharacteristic
45C2×#930C2211yescharacteristic
46C2×#930C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic
48C22×(C2×D3)⋊C4C2211yescharacteristic
49C22×C4⋊Dic3C2211yescharacteristic, complemented
50C22×C4⋊Dic3C2211yescharacteristic, complemented
51C2×#924C2211yescharacteristic
52C2×#924C2211yescharacteristic, complemented
53#5634—28no—
54#5555—28no—
55C2×#897C2211yescharacteristic
56C2×#897C2211yescharacteristic
57C2×#897C2211yescharacteristic, complemented
58C2×#896C2211yescharacteristic
59C2×#896C2211yescharacteristic
60C2×#896C2211yescharacteristic
61C2×#896C2211yescharacteristic
62C2×#894C2211yescharacteristic
63C2×#886C2211yescharacteristic
64C2×#886C2211yescharacteristic
65C2×#886C2211yescharacteristic, complemented
66C2×#886C2211yescharacteristic, complemented
67C2×#884C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×#878C2211yescharacteristic
73C2×#878C2211yescharacteristic
74C2×#878C2211yescharacteristic, complemented
75C2×#878C2211yescharacteristic, complemented
76C2×C4×D12C2211yescharacteristic
77C2×#869C2211yescharacteristic, complemented
78C3×#394C2211yescharacteristic
79C3×#394C2211yescharacteristic, complemented
80C3×#393C2211yescharacteristic, complemented
81C3×#392C2211yescharacteristic
82C3×#388C2211yescharacteristic
83C3×#388C2211yescharacteristic, complemented
84C3×#387C2211yescharacteristic, complemented
85C3×#387C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic
87C3×#386C2211yescharacteristic
88C3×#385C2211yescharacteristic, complemented
89#5231C2211yescharacteristic, complemented
90#5229C2211yescharacteristic, complemented
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5222C2211yescharacteristic, complemented
94#5220C2211yescharacteristic
95#5220C2211yescharacteristic
96#5220C2211yescharacteristic
97#5213C2211yescharacteristic
98#5213C2211yescharacteristic
99#5212C2211yescharacteristic
100#5210C2211yescharacteristic, complemented
101#4994C2211yescharacteristic
102#4994C2211yescharacteristic
103#4994C2211yescharacteristic, complemented
104#4994C2211yescharacteristic, complemented
105#4991C2211yescharacteristic
106#4990C2211yescharacteristic
107#4989C2211yescharacteristic, complemented
108#4987C2211yescharacteristic
109#4984C2211yescharacteristic, complemented
110#4982C2211yescharacteristic, complemented
111#4982C2211yescharacteristic, complemented
112#4982C2211yescharacteristic, complemented
113#4981C2211yescharacteristic, complemented
114#4980C2211yescharacteristic, complemented
115#4979C2211yescharacteristic, complemented
116#4972C2211yescharacteristic, complemented
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic, complemented
121#4960C2211yescharacteristic
122#4959C2211yescharacteristic
123#4959C2211yescharacteristic
124#4959C2211yescharacteristic
125#4959C2211yescharacteristic, complemented
126#4958C2211yescharacteristic
127#4958C2211yescharacteristic
128#4958C2211yescharacteristic
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic
135#4956C2211yescharacteristic
136#4955C2211yescharacteristic
137#4951C2211yescharacteristic
138#4950C2211yescharacteristic
139#4950C2211yescharacteristic
140#4950C2211yescharacteristic, complemented
141#4949C2211yescharacteristic
142#4948C2211yescharacteristic
143#4948C2211yescharacteristic
144#4947C2211yescharacteristic
145#4947C2211yescharacteristic, complemented
146#4946C2211yescharacteristic, complemented
147#4945C2211yescharacteristic, complemented
148#4942C2211yescharacteristic, complemented
149#4942C2211yescharacteristic, complemented
150#4942C2211yescharacteristic, complemented
151#4942C2211yescharacteristic, complemented
152#4940C2211yescharacteristic
153#4940C2211yescharacteristic
154#4939C2211yescharacteristic
155#4933C2211yescharacteristic, complemented
156#4929C2211yescharacteristic, complemented
157#4928C2211yescharacteristic, complemented
158#4677C2211yescharacteristic
159#4675C2211yescharacteristic
160#4675C2211yescharacteristic, complemented
161#4674C2211yescharacteristic
162#4673C2211yescharacteristic
163#4673C2211yescharacteristic, complemented
164#4673C2211yescharacteristic, complemented
165#4672C2211yescharacteristic
166#4672C2211yescharacteristic
167#4670C2211yescharacteristic
168#4670C2211yescharacteristic
169#4669C2211yescharacteristic
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic
172#4668C2211yescharacteristic, complemented
173#4667C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4664C2211yescharacteristic
177#4664C2211yescharacteristic
178#4661C2211yescharacteristic, complemented
179#4661C2211yescharacteristic, complemented
180#4660C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#547—31no—
191C2×#543—31no—
192#2729—31no—
193#2729—31no—
194#2696—31no—
195#2696—31no—
196#2692—31no—
197#2692—31no—
198#2687—31no—
199#2687—31no—
200#2681—31no—
201#2681—31no—
202#2681—31no—
203#2681—31no—
204#2638—31no—
205#2616—31no—
206#2534—31no—
207#2463—31no—
208#2463D311yescharacteristic, complemented
209#2449—31no—
210#2449—31no—
211#2424—31no—
212#2424—31no—
213#2418—31no—
214#2418—31no—
215#2417—31no—
216#2417—31no—
217#2407—31no—
218#2407—31no—
219#2404—31no—
220#2378—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C2×#237—24no—
242C2×#237—24no—
243C2×#237—42no—
244C2×#237—42no—
245C2×#237—42no—
246C2×#237—42no—
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×Dic6C2311yescharacteristic
255C22×Dic6C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C22×Dic6C2311yescharacteristic
258C3×C22⋊Q8—24no—
259C3×C22⋊Q8—42no—
260C3×C4×D4—24no—
261C3×C4×D4—42no—
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C42C2311yescharacteristic
281C2×C3×C42C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293#946—24no—
294#946—24no—
295#939—42no—
296#937—42no—
297#937—42no—
298D4×Dic3—42no—
299#930—24no—
300#930—24no—
301C4×#67—42no—
302C2×(C2×D3)⋊C4—24no—
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×C4⋊Dic3—24no—
331C2×C4⋊Dic3—24no—
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346#924—24no—
347#924—42no—
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×Dic3⋊C4C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366#897—24no—
367#897—24no—
368#897D418yescomplemented
369#896—24no—
370#896—24no—
371#896—24no—
372#896—24no—
373#894—42no—
374#886—24no—
375#886—24no—
376#886—24no—
377#886—24no—
378#884—42no—
379#882—42no—
380#67⋊C4—42no—
381D3×C22⋊C4—24no—
382D3×C22⋊C4—24no—
383#878—24no—
384#878—24no—
385#878—42no—
386#878—42no—
387C4×D12—24no—
388#869—24no—
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3×#95C2311yescharacteristic
394C3×#95C2311yescharacteristic
395C3×#95C2311yescharacteristic
396C3×#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C22×#41—31no—
425#547—68no—
426#543—68no—
427C2×C4⋊Q8—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8C2×D311yescharacteristic
449C2×C22⋊Q8C2×D311yescharacteristic, complemented
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4C2×D311yescharacteristic
462C2×C4×D4C2×D311yescharacteristic, complemented
463C22×C4⋊C4—31no—
464C22×C4⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#400—31no—
469#400—31no—
470#399—31no—
471#399—31no—
472#398—31no—
473#398—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#398—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#395—31no—
489#395—31no—
490#395—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#394C2×D311yescharacteristic
504#394C2×D311yescharacteristic, complemented
505#393—31no—
506#393—31no—
507#393—31no—
508#393—31no—
509#393—31no—
510#393—31no—
511#393C2×D311yescharacteristic, complemented
512#392—31no—
513#392—31no—
514#392—31no—
515#392C2×D311yescharacteristic
516#391—31no—
517#391—31no—
518#391—31no—
519#391—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#389—31no—
525#389—31no—
526#389—31no—
527#389—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#388C2×D311yescharacteristic
537#388C2×D311yescharacteristic, complemented
538#387—31no—
539#387—31no—
540#387—31no—
541#387—31no—
542#387C2×D311yescharacteristic, complemented
543#387C2×D311yescharacteristic, complemented
544#386—31no—
545#386—31no—
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#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386C2×D311yescharacteristic
559#386C2×D311yescharacteristic
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385C2×D311yescharacteristic, complemented
570#381—31no—
571#381—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#380—31no—
577#380—31no—
578#380—31no—
579#379—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C2×C3×Q8—22no—
594C2×C3×Q8—41no—
595C2×C3×Q8—41no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—22no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C22×C3×C4—22no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—22no—
609C22×C3×C4—22no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4—41no—
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C2×#67—22no—
627C2×#67—22no—
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—
647C22×Dic3—22no—
648C22×Dic3—22no—
649C22×Dic3—22no—
650C22×Dic3—22no—
651C22×Dic3—22no—
652C22×Dic3—22no—
653C22×Dic3—22no—
654C22×Dic3—22no—
655C22×Dic3—22no—
656C22×Dic3—41no—
657C22×Dic3—41no—
658C22×Dic3—41no—
659C22×Dic3—41no—
660C22×Dic3—41no—
661C22×Dic3—41no—
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675#237—416no—
676#237—416no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—41no—
681C2×D12—41no—
682C2×D12—41no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
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×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3C2×D414yes—
698C2×Dic6—22no—
699C2×Dic6—22no—
700C2×Dic6—22no—
701C2×Dic6—41no—
702C2×Dic6—41no—
703C2×Dic6—41no—
704C2×Dic6—41no—
705C2×Dic6—41no—
706C2×Dic6—41no—
707C2×Dic6—41no—
708C2×Dic6—41no—
709C2×Dic6C2×D414yes—
710C3×C4⋊C4—22no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—22no—
713C3×C4⋊C4—22no—
714C3×C4⋊C4—41no—
715C3×C4⋊C4C2×D414yes—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—41no—
725C3×C22⋊C4—41no—
726C3×C22⋊C4—41no—
727C3×C22⋊C4—41no—
728C3×C42—22no—
729C3×C42—41no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—41no—
735#217—41no—
736#217—41no—
737#217—41no—
738#217—41no—
739#217—41no—
740#217—41no—
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)⋊C4C2×D414yes—
767(C2×D3)⋊C4C2×D414yes—
768C4⋊Dic3—22no—
769C4⋊Dic3—22no—
770C4⋊Dic3—22no—
771C4⋊Dic3—22no—
772C4⋊Dic3—22no—
773C4⋊Dic3—22no—
774C4⋊Dic3—22no—
775C4⋊Dic3—22no—
776C4⋊Dic3—41no—
777C4⋊Dic3—41no—
778C4⋊Dic3—41no—
779C4⋊Dic3—41no—
780C4⋊Dic3C2×D414yes—
781C4⋊Dic3C2×D414yes—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—41no—
791Dic3⋊C4—41no—
792Dic3⋊C4—41no—
793Dic3⋊C4—41no—
794Dic3⋊C4—41no—
795Dic3⋊C4—41no—
796Dic3⋊C4—41no—
797C4×Dic3—41no—
798C4×Dic3—41no—
799C4×Dic3—41no—
800C25—31no—
801C2×#41—64no—
802C2×#41—64no—
803C2×#41—122no—
804C2×#41—122no—
805C2×#41—122no—
806C2×#41—122no—
807C22×Q8—31no—
808C22×Q8—31no—
809C22×Q8—31no—
810C22×Q8—31no—
811C22×Q8C22×D311yescharacteristic
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4C22×D311yescharacteristic
822C22×D4C22×D311yescharacteristic
823C22×D4C22×D311yescharacteristic
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4C22×D311yescharacteristic
835C23×C4C22×D311yescharacteristic
836C23×C4C22×D311yescharacteristic
837C4⋊Q8—64no—
838#123—64no—
839#123—64no—
840#123—64no—
841#123—64no—
842#123—122no—
843C22⋊Q8—24no—
844C22⋊Q8—38no—
845C22⋊Q8—42no—
846C22⋊Q8—64no—
847C22⋊Q8—64no—
848C22⋊Q8—64no—
849C22⋊Q8—64no—
850C22⋊Q8—64no—
851C22⋊Q8—64no—
852C22⋊Q8—64no—
853C22⋊Q8—64no—
854C22⋊Q8—64no—
855C22⋊Q8—64no—
856C22⋊Q8—64no—
857C22⋊Q8—122no—
858C22⋊Q8—122no—
859C22⋊Q8—122no—
860#121—64no—
861#121—64no—
862#121—122no—
863#121—122no—
864#120—122no—
865#120—122no—
866#120—122no—
867C4×D4—24no—
868C4×D4—42no—
869C4×D4—64no—
870C4×D4—122no—
871C4×D4—122no—
872C4×D4—122no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—64no—
903C2×C4⋊C4—64no—
904C2×C4⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
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—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—64no—
949C2×C22⋊C4—64no—
950C2×C22⋊C4—64no—
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×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—31no—
966C2×C42C22×D311yescharacteristic
967C2×C42C22×D311yescharacteristic
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#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
1000#95C22×D311yescharacteristic
1001#95C22×D311yescharacteristic
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×C3H(5,𝔽2)12yes—
1021C23×C3H(5,𝔽2)12yes—
1022C23×C32−1+412yes—
1023C23×C3C2511yescharacteristic
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—28no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—82no—
1045C22×D3—82no—
1046C22×D3—82no—
1047C22×D3—82no—
1048C22×D3—82no—
1049C22×D3—82no—
1050C22×D3C22×D412yes—
1051C22×D32−1+412yes—
1052C3×Q8—82no—
1053C3×D4—28no—
1054C3×D4—44no—
1055C3×D4—44no—
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—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—44no—
1089C2×C3×C4—44no—
1090C2×C3×C4—82no—
1091C2×C3×C4C22×D412yes—
1092C2×C3×C4C22×D412yes—
1093C2×C3×C4C22×D412yes—
1094C2×C3×C4H(5,𝔽2)12yes—
1095#67—44no—
1096#67—44no—
1097#67—44no—
1098#67—44no—
1099#67—44no—
1100#67—44no—
1101#67—82no—
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—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—44no—
1139C2×Dic3—44no—
1140C2×Dic3—44no—
1141C2×Dic3—44no—
1142C2×Dic3—82no—
1143C2×Dic3C22×D412yes—
1144C2×Dic3C22×D412yes—
1145C2×Dic3C22×D412yes—
1146D12—44no—
1147D12—82no—
1148C4×D3—44no—
1149C4×D3—44no—
1150C4×D3—82no—
1151C4×D3—82no—
1152C4×D3—82no—
1153Dic6—44no—
1154Dic6—44no—
1155Dic6—82no—
1156Dic6—82no—
1157C24—31no—
1158C24—31no—
1159C24—31no—
1160C24—62no—
1161C24—62no—
1162C24—62no—
1163C24—121no—
1164C24—121no—
1165C24—121no—
1166C24—121no—
1167C24C23×D311yescharacteristic
1168C24C23×D311yescharacteristic
1169C24C23×D311yescharacteristic
1170#41—1216no—
1171#41—1216no—
1172C2×Q8—22no—
1173C2×Q8—34no—
1174C2×Q8—41no—
1175C2×Q8—41no—
1176C2×Q8—62no—
1177C2×Q8—62no—
1178C2×Q8—62no—
1179C2×Q8—121no—
1180C2×Q8—121no—
1181C2×Q8—121no—
1182C2×Q8—121no—
1183C2×Q8—121no—
1184C2×Q8—121no—
1185C2×Q8—121no—
1186C2×Q8—121no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—41no—
1195C2×D4—41no—
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—62no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—62no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—62no—
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—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—31no—
1229C22×C4—31no—
1230C22×C4—31no—
1231C22×C4—34no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—31no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—31no—
1241C22×C4—31no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—62no—
1252C22×C4—62no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—62no—
1257C22×C4—62no—
1258C22×C4—62no—
1259C22×C4—121no—
1260C22×C4—121no—
1261C22×C4—121no—
1262C22×C4—121no—
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×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
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—34no—
1292C4⋊C4—34no—
1293C4⋊C4—41no—
1294C4⋊C4—62no—
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—121no—
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—
1320C4⋊C4—121no—
1321C4⋊C4D3×D414yes—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—34no—
1331C22⋊C4—34no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
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—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⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C22⋊C4—121no—
1372C42—22no—
1373C42—41no—
1374C42—121no—
1375C42—121no—
1376C42—121no—
1377C22×C3—22no—
1378C22×C3—22no—
1379C22×C3—22no—
1380C22×C3—22no—
1381C22×C3—22no—
1382C22×C3—22no—
1383C22×C3—22no—
1384C22×C3—22no—
1385C22×C3—22no—
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×C3—41no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3C23×D411yescharacteristic
1399C22×C3C2×H(5,𝔽2)11yescharacteristic
1400C22×C3C2×H(5,𝔽2)11yescharacteristic
1401C22×C3C2×H(5,𝔽2)11yescharacteristic
1402C22×C3C2×2−1+411yescharacteristic
1403C22×C3C2×2−1+411yescharacteristic
1404C22×C3#58511yescharacteristic
1405C2×D3—22no—
1406C2×D3—22no—
1407C2×D3—22no—
1408C2×D3—22no—
1409C2×D3—22no—
1410C2×D3—22no—
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—88no—
1427C3×C4—22no—
1428C3×C4—22no—
1429C3×C4—22no—
1430C3×C4—22no—
1431C3×C4—41no—
1432C3×C4—41no—
1433C3×C4—41no—
1434C3×C4—41no—
1435C3×C4—41no—
1436C3×C4—41no—
1437C3×C4—41no—
1438C3×C4—41no—
1439Dic3—22no—
1440Dic3—22no—
1441Dic3—22no—
1442Dic3—41no—
1443Dic3—41no—
1444Dic3—41no—
1445Dic3—41no—
1446Dic3—41no—
1447Dic3—41no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
1451Dic3—41no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
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—32no—
1471C23—32no—
1472C23—68no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
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—242no—
1493C23—242no—
1494C23—242no—
1495C23—242no—
1496C23—242no—
1497C23—242no—
1498C23#100912yes—
1499C23#100912yes—
1500C23#101012yes—
1501C23C24×D311yescharacteristic
1502Q8—82no—
1503Q8—124no—
1504Q8—124no—
1505Q8—242no—
1506Q8—242no—
1507D4—28no—
1508D4—44no—
1509D4—44no—
1510D4—124no—
1511D4—124no—
1512D4—124no—
1513D4—124no—
1514D4—124no—
1515D4—124no—
1516D4—124no—
1517D4—242no—
1518D4—242no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—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—32no—
1552C2×C4—32no—
1553C2×C4—32no—
1554C2×C4—44no—
1555C2×C4—44no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—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—82no—
1593C2×C4—124no—
1594C2×C4—124no—
1595C2×C4—124no—
1596C2×C4—124no—
1597C2×C4—124no—
1598C2×C4—124no—
1599C2×C4—242no—
1600C2×C4—242no—
1601C2×C4—242no—
1602C2×C4—242no—
1603C2×C4C2×D3×D412yes—
1604C2×C4C2×D3×D412yes—
1605C2×C4C2×D3×D412yes—
1606C2×C4#100412yes—
1607C2×C3—42no—
1608C2×C3—42no—
1609C2×C3—42no—
1610C2×C3#348411yescharacteristic
1611C2×C3#348611yescharacteristic
1612C2×C3#348811yescharacteristic
1613C2×C3#353511yescharacteristic
1614C2×C3#353511yescharacteristic
1615C2×C3#353611yescharacteristic
1616C2×C3#353611yescharacteristic
1617D3—42no—
1618D3—42no—
1619D3—81no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—62no—
1642C22—62no—
1643C22—62no—
1644C22—62no—
1645C22—62no—
1646C22—62no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22—121no—
1653C22—121no—
1654C22—121no—
1655C22—121no—
1656C22—121no—
1657C22—121no—
1658C22—121no—
1659C22—121no—
1660C22—121no—
1661C22—121no—
1662C22—248no—
1663C22C22×D3×D411yescharacteristic
1664C22C2×#100411yescharacteristic
1665C22C2×#100911yescharacteristic
1666C22C2×#100911yescharacteristic
1667C22C2×#101011yescharacteristic
1668C22#596611yescharacteristic
1669C22D3×2−1+411yescharacteristic
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—62no—
1683C4—62no—
1684C4—62no—
1685C4—121no—
1686C4—121no—
1687C4—121no—
1688C4—121no—
1689C4—121no—
1690C4—121no—
1691C4—121no—
1692C4—121no—
1693C4—121no—
1694C4—121no—
1695C3#4783211yescharacteristic, complemented, Sylow
1696C2—42no—
1697C2—42no—
1698C2—42no—
1699C2—122no—
1700C2—122no—
1701C2—241no—
1702C2#8603911yescharacteristic
1703C2#8605111yescharacteristic
1704C2#8646011yescharacteristic
1705C2#8660711yescharacteristic
1706C2#8673511yescharacteristic
1707C2#8673911yescharacteristic
1708C2#8680211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2463C2
hypercenter#2463D3
hypocenterC3#47832
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2463

Complements

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

NH ≅ G/Ntype
1. C2×#5634C2semidirect
2. C2×#5555C2semidirect
3. C3×#2463C2semidirect
4. #82829C2semidirect
5. #82815C2semidirect
6. #82797C2semidirect
7. #82407C2semidirect
8. #82368C2semidirect
9. #82353C2semidirect
10. #77112C2semidirect
11. #77006C2semidirect
12. #76970C2semidirect
13. #76894C2semidirect
14. #76878C2semidirect
15. #76827C2semidirect
16. #76754C2semidirect
17. #76668C2semidirect
18. #75922C2semidirect
19. #75881C2semidirect
20. #75706C2semidirect
21. #75669C2semidirect
22. #75394C2semidirect
23. #75379C2semidirect
24. #75314C2semidirect
25. #75177C2semidirect
26. #74894C2semidirect
27. #74891C2semidirect
28. #74809C2semidirect
29. #74710C2semidirect
30. #74632C2semidirect
31. #74422C2semidirect
34. C22×#237C22semidirect
36. C2×C3×C22⋊Q8C22semidirect
38. C2×C3×C4×D4C22semidirect
49. C22×C4⋊Dic3C22semidirect
50. C22×C4⋊Dic3C22semidirect
52. C2×#924C22semidirect
57. C2×#897C22semidirect
65. C2×#886C22semidirect
66. C2×#886C22semidirect
74. C2×#878C22semidirect
75. C2×#878C22semidirect
77. C2×#869C22semidirect
79. C3×#394C22semidirect
80. C3×#393C22semidirect
83. C3×#388C22semidirect
84. C3×#387C22semidirect
85. C3×#387C22semidirect
88. C3×#385C22semidirect
89. #5231C22semidirect
90. #5229C22semidirect
93. #5222C22semidirect
100. #5210C22semidirect
103. #4994C22semidirect
104. #4994C22semidirect
107. #4989C22semidirect
109. #4984C22semidirect
110. #4982C22semidirect
111. #4982C22semidirect
112. #4982C22semidirect
113. #4981C22semidirect
114. #4980C22semidirect
115. #4979C22semidirect
116. #4972C22semidirect
120. #4961C22semidirect
125. #4959C22semidirect
130. #4957C22semidirect
131. #4957C22semidirect
140. #4950C22semidirect
145. #4947C22semidirect
146. #4946C22semidirect
147. #4945C22semidirect
148. #4942C22semidirect
149. #4942C22semidirect
150. #4942C22semidirect
151. #4942C22semidirect
155. #4933C22semidirect
156. #4929C22semidirect
157. #4928C22semidirect
160. #4675C22semidirect
163. #4673C22semidirect
164. #4673C22semidirect
172. #4668C22semidirect
178. #4661C22semidirect
179. #4661C22semidirect
180. #4660C22semidirect
181. #4660C22semidirect
182. #4657C22semidirect
183. #4656C22semidirect
184. #4656C22semidirect
185. #4654C22semidirect
186. #4653C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
208. #2463D3semidirect
368. #897D4semidirect
449. C2×C22⋊Q8C2×D3semidirect
462. C2×C4×D4C2×D3semidirect
504. #394C2×D3semidirect
511. #393C2×D3semidirect
537. #388C2×D3semidirect
542. #387C2×D3semidirect
543. #387C2×D3semidirect
569. #385C2×D3semidirect
1695. C3#47832semidirect

Maximal subgroups

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

subgroupindex
C2×#56342
C2×#55552
C3×#24632
#828292
#828152
#827972
#824072
#823682
#823532
#771122
#770062
#769702
#768942
#768782
#768272
#767542
#766682
#759222
#758812
#757062
#756692
#753942
#753792
#753142
#751772
#748942
#748912
#748092
#747102
#746322
#744222
#478323