Finite Group Databasebeta

← #11024684

Subgroups — #11024684

Order 768.

3086 conjugacy classes of subgroups.

The subgroup lattice has 1874 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5677C211yesmaximal, characteristic, complemented
2C2×#5628C211yesmaximal, characteristic, complemented
3C2×#5599C211yesmaximal, characteristic, complemented
4C2×#5596C211yesmaximal, characteristic, complemented
5C3×#2676C211yesmaximal, characteristic, complemented
6#82983C211yesmaximal, characteristic, complemented
7#82818C211yesmaximal, characteristic, complemented
8#82717C211yesmaximal, characteristic, complemented
9#82684C211yesmaximal, characteristic, complemented
10#77315C211yesmaximal, characteristic, complemented
11#77292C211yesmaximal, characteristic, complemented
12#77133C211yesmaximal, characteristic, complemented
13#76971C211yesmaximal, characteristic, complemented
14#76916C211yesmaximal, characteristic, complemented
15#76904C211yesmaximal, characteristic, complemented
16#76787C211yesmaximal, characteristic, complemented
17#76781C211yesmaximal, characteristic, complemented
18#76769C211yesmaximal, characteristic, complemented
19#76706C211yesmaximal, characteristic, complemented
20#76677C211yesmaximal, characteristic, complemented
21#76672C211yesmaximal, characteristic, complemented
22#76446C211yesmaximal, characteristic, complemented
23#76353C211yesmaximal, characteristic, complemented
24#75323C211yesmaximal, characteristic, complemented
25#74948C211yesmaximal, characteristic, complemented
26#74915C211yesmaximal, characteristic, complemented
27#74900C211yesmaximal, characteristic, complemented
28#74869C211yesmaximal, characteristic, complemented
29#74700C211yesmaximal, characteristic, complemented
30#74509C211yesmaximal, characteristic, complemented
31#74377C211yesmaximal, characteristic, complemented
32#37683—31nomaximal, Sylow
33C22×D3×Q8C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C22×#237C2211yescharacteristic
36C22×#235C2211yescharacteristic
37C2×C3×#124C2211yescharacteristic
38C2×C3×C22⋊Q8C2211yescharacteristic
39C2×C3×#121C2211yescharacteristic
40C2×C3×#121C2211yescharacteristic
41C2×#946C2211yescharacteristic
42C2×#946C2211yescharacteristic
43C2×#940C2211yescharacteristic
44C2×#940C2211yescharacteristic
45C2×#940C2211yescharacteristic
46C2×#940C2211yescharacteristic
47C2×#940C2211yescharacteristic
48C2×#939C2211yescharacteristic
49C2×#939C2211yescharacteristic
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic
52C2×#938C2211yescharacteristic
53C2×D4×Dic3C2211yescharacteristic
54C2×#930C2211yescharacteristic
55C2×C4×#67C2211yescharacteristic
56C2×#924C2211yescharacteristic
57C22×C4×Dic3C2211yescharacteristic
58#5677—28no—
59#5628—28no—
60#5599—28no—
61#5596—28no—
62C2×#897C2211yescharacteristic
63C2×#895C2211yescharacteristic
64C2×#894C2211yescharacteristic
65C2×#894C2211yescharacteristic
66C2×#893C2211yescharacteristic
67C2×#892C2211yescharacteristic
68C2×#888C2211yescharacteristic
69C2×#888C2211yescharacteristic
70C2×#887C2211yescharacteristic
71C2×#885C2211yescharacteristic
72C2×#885C2211yescharacteristic
73C2×#885C2211yescharacteristic
74C2×#885C2211yescharacteristic
75C2×#885C2211yescharacteristic
76C2×#885C2211yescharacteristic
77C2×#885C2211yescharacteristic
78C2×#884C2211yescharacteristic
79C2×#884C2211yescharacteristic
80C2×#884C2211yescharacteristic
81C2×#884C2211yescharacteristic
82C2×#883C2211yescharacteristic
83C2×#883C2211yescharacteristic
84C2×#67⋊C4C2211yescharacteristic
85C2×#67⋊C4C2211yescharacteristic
86C2×#67⋊C4C2211yescharacteristic
87C2×#67⋊C4C2211yescharacteristic
88C2×#67⋊C4C2211yescharacteristic
89C2×#878C2211yescharacteristic
90C2×#878C2211yescharacteristic
91C2×C4×D12C2211yescharacteristic
92C2×C4×Dic6C2211yescharacteristic
93C3×#396C2211yescharacteristic
94C3×#394C2211yescharacteristic
95C3×#394C2211yescharacteristic
96C3×#393C2211yescharacteristic
97C3×#392C2211yescharacteristic
98C3×#392C2211yescharacteristic
99C3×#390C2211yescharacteristic
100C3×#387C2211yescharacteristic
101C3×#386C2211yescharacteristic
102C3×#386C2211yescharacteristic
103C3×#385C2211yescharacteristic
104#5231C2211yescharacteristic
105#5223C2211yescharacteristic
106#5223C2211yescharacteristic
107#5223C2211yescharacteristic
108#5223C2211yescharacteristic
109#5223C2211yescharacteristic
110#5223C2211yescharacteristic
111#5223C2211yescharacteristic
112#5222C2211yescharacteristic
113#5221C2211yescharacteristic
114#5220C2211yescharacteristic
115#5220C2211yescharacteristic
116#5213C2211yescharacteristic
117#5213C2211yescharacteristic
118#5213C2211yescharacteristic
119#4994C2211yescharacteristic
120#4994C2211yescharacteristic
121#4991C2211yescharacteristic
122#4990C2211yescharacteristic
123#4990C2211yescharacteristic
124#4989C2211yescharacteristic
125#4988C2211yescharacteristic
126#4980C2211yescharacteristic
127#4978C2211yescharacteristic
128#4978C2211yescharacteristic
129Dic3×C4⋊C4C2211yescharacteristic
130#4961C2211yescharacteristic
131#4961C2211yescharacteristic
132#4961C2211yescharacteristic
133#4961C2211yescharacteristic
134#4961C2211yescharacteristic
135#4960C2211yescharacteristic
136#4960C2211yescharacteristic
137#4960C2211yescharacteristic
138#4960C2211yescharacteristic
139#4960C2211yescharacteristic
140#4960C2211yescharacteristic
141#4960C2211yescharacteristic
142#4960C2211yescharacteristic
143#4959C2211yescharacteristic
144#4959C2211yescharacteristic
145#4959C2211yescharacteristic
146#4958C2211yescharacteristic
147#4958C2211yescharacteristic
148#4958C2211yescharacteristic
149#4957C2211yescharacteristic
150#4957C2211yescharacteristic
151#4957C2211yescharacteristic
152#4956C2211yescharacteristic
153#4956C2211yescharacteristic
154#4956C2211yescharacteristic
155#4956C2211yescharacteristic
156#4951C2211yescharacteristic
157#4951C2211yescharacteristic
158#4950C2211yescharacteristic
159#4950C2211yescharacteristic
160#4948C2211yescharacteristic
161#4947C2211yescharacteristic
162#4946C2211yescharacteristic
163#4945C2211yescharacteristic
164#4944C2211yescharacteristic
165Dic3×C22⋊C4C2211yescharacteristic
166#4939C2211yescharacteristic
167#4933C2211yescharacteristic
168#4673C2211yescharacteristic
169#4671C2211yescharacteristic
170#4671C2211yescharacteristic
171#4671C2211yescharacteristic
172#4670C2211yescharacteristic
173#4670C2211yescharacteristic
174#4669C2211yescharacteristic
175#4669C2211yescharacteristic
176#4668C2211yescharacteristic
177#4666C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic
182#4655C2211yescharacteristic
183#4655C2211yescharacteristic
184#4654C2211yescharacteristic
185#4653C2211yescharacteristic
186#4652C2211yescharacteristic
187#4650C2211yescharacteristic
188#4648C2211yescharacteristic
189#4646C2211yescharacteristic
190#4646C2211yescharacteristic
191#4646C2211yescharacteristic
192C2×#550—31no—
193C2×#548—31no—
194C2×#536—31no—
195C2×#532—31no—
196#2850—31no—
197#2676—31no—
198#2676—31no—
199#2676—31no—
200#2676D311yescharacteristic, complemented
201#2673—31no—
202#2673—31no—
203#2673—31no—
204#2673—31no—
205#2657—31no—
206#2619—31no—
207#2548—31no—
208#2545—31no—
209#2463—31no—
210#2463—31no—
211#2463—31no—
212#2463—31no—
213#2456—31no—
214#2456—31no—
215#2456—31no—
216#2456—31no—
217#2436—31no—
218#2432—31no—
219#2431—31no—
220#2431—31no—
221#2327—31no—
222#2290—31no—
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C2×D3×Q8—24no—
253C2×D3×Q8—24no—
254C2×D3×Q8—42no—
255C2×#237—24no—
256C2×#237—24no—
257C2×#237—24no—
258C2×#237—24no—
259C2×#237—42no—
260C2×#237—42no—
261C2×#235—24no—
262C2×#235—24no—
263C2×#235—42no—
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×D12C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×Dic6C2311yescharacteristic
277C22×Dic6C2311yescharacteristic
278C22×Dic6C2311yescharacteristic
279C22×Dic6C2311yescharacteristic
280C3×#124—24no—
281C3×C22⋊Q8—24no—
282C3×#121—24no—
283C3×#121—24no—
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C22⋊C4C2311yescharacteristic
303C2×C3×C42C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316#946—24no—
317#946—24no—
318#940—24no—
319#940—24no—
320#940—24no—
321#940—24no—
322#940—42no—
323#939—24no—
324#939—24no—
325#939—24no—
326#939—24no—
327#938—24no—
328D4×Dic3—24no—
329#930—24no—
330C4×#67—24no—
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363#924—24no—
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×C4×Dic3—24no—
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385#897—24no—
386#895—24no—
387#894—24no—
388#894—24no—
389#893—24no—
390#892—24no—
391#888—24no—
392#888D418yescomplemented
393#887—24no—
394#885—24no—
395#885—24no—
396#885—24no—
397#885—24no—
398#885—24no—
399#885—24no—
400#885—42no—
401#884—24no—
402#884—24no—
403#884—24no—
404#884—24no—
405#883—24no—
406#883—24no—
407#67⋊C4—24no—
408#67⋊C4—24no—
409#67⋊C4—24no—
410#67⋊C4—24no—
411#67⋊C4D418yescomplemented
412#878—24no—
413#878—24no—
414C4×D12—24no—
415C4×Dic6—24no—
416C3×#95C2311yescharacteristic
417C3×#95C2311yescharacteristic
418C3×#95C2311yescharacteristic
419C3×#95C2311yescharacteristic
420C3×#95C2311yescharacteristic
421C3×#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C3⋊#95C2311yescharacteristic
436C3⋊#95C2311yescharacteristic
437C3⋊#95C2311yescharacteristic
438C3⋊#95C2311yescharacteristic
439C3⋊#95C2311yescharacteristic
440C3⋊#95C2311yescharacteristic
441C3⋊#95C2311yescharacteristic
442C22×#41—31no—
443C22×#41—31no—
444C22×#41—31no—
445C23×Q8—31no—
446#550—68no—
447#548—68no—
448#536—68no—
449#532—68no—
450C2×C4⋊Q8—31no—
451C2×C4⋊Q8—31no—
452C2×#127—31no—
453C2×#127—31no—
454C2×#127—31no—
455C2×#127—31no—
456C2×#127—31no—
457C2×#124—31no—
458C2×#124—31no—
459C2×#124—31no—
460C2×#124—31no—
461C2×#124—31no—
462C2×#124—31no—
463C2×#124—31no—
464C2×#124C2×D311yescharacteristic
465C2×#123—31no—
466C2×#123—31no—
467C2×#123—31no—
468C2×#123—31no—
469C2×C22⋊Q8—31no—
470C2×C22⋊Q8—31no—
471C2×C22⋊Q8—31no—
472C2×C22⋊Q8—31no—
473C2×C22⋊Q8—31no—
474C2×C22⋊Q8—31no—
475C2×C22⋊Q8C2×D311yescharacteristic
476C2×#121—31no—
477C2×#121—31no—
478C2×#121—31no—
479C2×#121—31no—
480C2×#121—31no—
481C2×#121—31no—
482C2×#121—31no—
483C2×#121—31no—
484C2×#121—31no—
485C2×#121—31no—
486C2×#121—31no—
487C2×#121C2×D311yescharacteristic
488C2×#121C2×D311yescharacteristic
489C2×C4×Q8—31no—
490C2×C4×Q8—31no—
491C2×C4×D4—31no—
492C2×C4×D4—31no—
493C2×C4×D4—31no—
494C2×C4×D4—31no—
495C2×C4×D4—31no—
496C2×C4×D4—31no—
497C2×C4×D4—31no—
498C2×C4×D4—31no—
499C2×C4×D4—31no—
500C2×#117—31no—
501C22×C42—31no—
502#396—31no—
503#396—31no—
504#396—31no—
505#396C2×D311yescharacteristic
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#394—31no—
513#394—31no—
514#394—31no—
515#394—31no—
516#394C2×D311yescharacteristic
517#394C2×D311yescharacteristic
518#393—31no—
519#393—31no—
520#393—31no—
521#393C2×D311yescharacteristic
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#392—31no—
529#392—31no—
530#392—31no—
531#392—31no—
532#392—31no—
533#392—31no—
534#392—31no—
535#392—31no—
536#392—31no—
537#392—31no—
538#392—31no—
539#392—31no—
540#392C2×D311yescharacteristic
541#392C2×D311yescharacteristic
542#391—31no—
543#391—31no—
544#391—31no—
545#390—31no—
546#390—31no—
547#390—31no—
548#390—31no—
549#390—31no—
550#390—31no—
551#390C2×D311yescharacteristic
552#388—31no—
553#388—31no—
554#388—31no—
555#388—31no—
556#388—31no—
557#388—31no—
558#388—31no—
559#388—31no—
560#388—31no—
561#388—31no—
562#387—31no—
563#387—31no—
564#387—31no—
565#387—31no—
566#387—31no—
567#387—31no—
568#387—31no—
569#387—31no—
570#387—31no—
571#387C2×D311yescharacteristic
572#386—31no—
573#386—31no—
574#386—31no—
575#386—31no—
576#386—31no—
577#386—31no—
578#386—31no—
579#386—31no—
580#386—31no—
581#386—31no—
582#386—31no—
583#386—31no—
584#386—31no—
585#386—31no—
586#386—31no—
587#386—31no—
588#386C2×D311yescharacteristic
589#386C2×D311yescharacteristic
590#385—31no—
591#385—31no—
592#385—31no—
593#385—31no—
594#385—31no—
595#385C2×D311yescharacteristic
596#382—31no—
597C4×C4⋊C4—31no—
598C4×C22⋊C4—31no—
599C4×C22⋊C4—31no—
600#376—31no—
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C24×C3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C2×C3×Q8—22no—
610C2×C3×Q8—22no—
611C2×C3×Q8—41no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—41no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67C2×D414yes—
695C22×Dic3—22no—
696C22×Dic3—22no—
697C22×Dic3—22no—
698C22×Dic3—22no—
699C22×Dic3—22no—
700C22×Dic3—22no—
701C22×Dic3—22no—
702C22×Dic3—41no—
703C22×Dic3—41no—
704C22×Dic3—41no—
705C22×Dic3—41no—
706C22×Dic3C2×D414yes—
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713C22×Dic3C2411yescharacteristic
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719D3×Q8—416no—
720#237—416no—
721#237—416no—
722#235—416no—
723C2×D12—22no—
724C2×D12—22no—
725C2×D12—22no—
726C2×D12—22no—
727C2×D12—22no—
728C2×D12—22no—
729C2×D12—41no—
730C2×D12—41no—
731C2×D12—41no—
732C2×D12—41no—
733C2×D12—41no—
734C2×D12—41no—
735C2×D12—41no—
736C2×D12—41no—
737C2×D12—41no—
738C2×D12—41no—
739C2×D12—41no—
740C2×D12—41no—
741C2×C4×D3—22no—
742C2×C4×D3—22no—
743C2×C4×D3—22no—
744C2×C4×D3—22no—
745C2×C4×D3—22no—
746C2×C4×D3—22no—
747C2×C4×D3—22no—
748C2×C4×D3—22no—
749C2×C4×D3—22no—
750C2×C4×D3—22no—
751C2×C4×D3—22no—
752C2×C4×D3—22no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×C4×D3—41no—
756C2×C4×D3—41no—
757C2×C4×D3—41no—
758C2×C4×D3C2×D414yes—
759C2×Dic6—22no—
760C2×Dic6—22no—
761C2×Dic6—22no—
762C2×Dic6—22no—
763C2×Dic6—22no—
764C2×Dic6—22no—
765C2×Dic6—22no—
766C2×Dic6—22no—
767C2×Dic6—22no—
768C2×Dic6—41no—
769C2×Dic6C2×D414yes—
770C2×Dic6C2×D414yes—
771C3×C4⋊C4—22no—
772C3×C4⋊C4—22no—
773C3×C4⋊C4—22no—
774C3×C4⋊C4—41no—
775C3×C4⋊C4C2×D414yes—
776C3×C22⋊C4—22no—
777C3×C22⋊C4—22no—
778C3×C22⋊C4—22no—
779C3×C22⋊C4—22no—
780C3×C22⋊C4—22no—
781C3×C22⋊C4—22no—
782C3×C22⋊C4—22no—
783C3×C22⋊C4—22no—
784C3×C22⋊C4—41no—
785C3×C22⋊C4—41no—
786C3×C22⋊C4—41no—
787C3×C22⋊C4—41no—
788C3×C22⋊C4—41no—
789C3×C22⋊C4C2×D414yes—
790C3×C42—22no—
791#217—22no—
792#217—22no—
793#217—22no—
794#217—22no—
795#217—22no—
796#217—22no—
797#217—22no—
798#217—41no—
799#217—41no—
800#217—41no—
801#217—41no—
802#217—41no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—22no—
815(C2×D3)⋊C4—22no—
816(C2×D3)⋊C4—22no—
817(C2×D3)⋊C4—22no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825(C2×D3)⋊C4—41no—
826(C2×D3)⋊C4—41no—
827(C2×D3)⋊C4—41no—
828(C2×D3)⋊C4C2×D414yes—
829C4⋊Dic3—22no—
830C4⋊Dic3—22no—
831C4⋊Dic3—22no—
832C4⋊Dic3—22no—
833C4⋊Dic3—41no—
834C4⋊Dic3C2×D414yes—
835Dic3⋊C4—22no—
836Dic3⋊C4—22no—
837Dic3⋊C4—22no—
838Dic3⋊C4—22no—
839Dic3⋊C4—22no—
840Dic3⋊C4—22no—
841Dic3⋊C4—22no—
842Dic3⋊C4C2×D414yes—
843Dic3⋊C4C2×D414yes—
844Dic3⋊C4C2×D414yes—
845C4×Dic3—22no—
846C4×Dic3—22no—
847C4×Dic3—22no—
848C4×Dic3—22no—
849C4×Dic3—22no—
850C4×Dic3—22no—
851C4×Dic3—22no—
852C4×Dic3—22no—
853C4×Dic3C2×D414yes—
854C4×Dic3C2×D414yes—
855C2×#41—64no—
856C2×#41—64no—
857C2×#41—64no—
858C2×#41—64no—
859C2×#41—64no—
860C2×#41—64no—
861C2×#41—122no—
862C2×#41—122no—
863C2×#41—122no—
864C22×Q8—31no—
865C22×Q8—31no—
866C22×Q8—31no—
867C22×Q8—31no—
868C22×Q8—64no—
869C22×Q8—64no—
870C22×Q8—122no—
871C22×Q8C22×D311yescharacteristic
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—31no—
888C22×D4—31no—
889C22×D4—31no—
890C22×D4—31no—
891C22×D4—31no—
892C22×D4—31no—
893C22×D4—31no—
894C22×D4C22×D311yescharacteristic
895C22×D4C22×D311yescharacteristic
896C22×D4C22×D311yescharacteristic
897C22×D4C22×D311yescharacteristic
898C22×D4C22×D311yescharacteristic
899C22×D4C22×D311yescharacteristic
900C23×C4—31no—
901C23×C4—31no—
902C23×C4—31no—
903C23×C4—31no—
904C23×C4—31no—
905C23×C4—31no—
906C23×C4—31no—
907C23×C4—31no—
908C23×C4—31no—
909C23×C4—31no—
910C23×C4C22×D311yescharacteristic
911C23×C4C22×D311yescharacteristic
912C4⋊Q8—38no—
913C4⋊Q8—64no—
914#127—64no—
915#127—64no—
916#127—64no—
917#127—64no—
918#127—122no—
919#124—24no—
920#124—64no—
921#124—64no—
922#124—64no—
923#124—64no—
924#124—64no—
925#124—64no—
926#124—122no—
927#123—64no—
928#123—64no—
929#123—64no—
930#123—64no—
931C22⋊Q8—24no—
932C22⋊Q8—64no—
933C22⋊Q8—64no—
934C22⋊Q8—64no—
935C22⋊Q8—64no—
936C22⋊Q8—64no—
937C22⋊Q8—64no—
938#121—24no—
939#121—24no—
940#121—64no—
941#121—64no—
942#121—64no—
943#121—64no—
944#121—64no—
945#121—64no—
946#121—64no—
947#121—64no—
948#121—64no—
949#121—64no—
950#121—64no—
951C4×Q8—64no—
952C4×Q8—64no—
953C4×D4—38no—
954C4×D4—64no—
955C4×D4—64no—
956C4×D4—64no—
957C4×D4—64no—
958C4×D4—64no—
959C4×D4—64no—
960C4×D4—64no—
961C4×D4—64no—
962#117—64no—
963C2×C4⋊C4—31no—
964C2×C4⋊C4—31no—
965C2×C4⋊C4—31no—
966C2×C4⋊C4—31no—
967C2×C4⋊C4—31no—
968C2×C4⋊C4—31no—
969C2×C4⋊C4—31no—
970C2×C4⋊C4—31no—
971C2×C4⋊C4—31no—
972C2×C4⋊C4—31no—
973C2×C4⋊C4—31no—
974C2×C4⋊C4—31no—
975C2×C4⋊C4—31no—
976C2×C4⋊C4—31no—
977C2×C4⋊C4—31no—
978C2×C4⋊C4—31no—
979C2×C4⋊C4C22×D311yescharacteristic
980C2×C4⋊C4C22×D311yescharacteristic
981C2×C4⋊C4C22×D311yescharacteristic
982C2×C4⋊C4C22×D311yescharacteristic
983C2×C4⋊C4C22×D311yescharacteristic
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—31no—
1020C2×C22⋊C4—31no—
1021C2×C22⋊C4—31no—
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C22⋊C4C22×D311yescharacteristic
1030C2×C22⋊C4C22×D311yescharacteristic
1031C2×C22⋊C4C22×D311yescharacteristic
1032C2×C22⋊C4C22×D311yescharacteristic
1033C2×C22⋊C4C22×D311yescharacteristic
1034C2×C22⋊C4C22×D311yescharacteristic
1035C2×C22⋊C4C22×D311yescharacteristic
1036C2×C42—31no—
1037C2×C42—31no—
1038C2×C42—31no—
1039C2×C42—31no—
1040C2×C42—31no—
1041C2×C42—31no—
1042C2×C42—31no—
1043C2×C42—31no—
1044C2×C42—31no—
1045C2×C42—31no—
1046C2×C42—64no—
1047C2×C42C22×D311yescharacteristic
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95—31no—
1057#95—31no—
1058#95—31no—
1059#95—31no—
1060#95—31no—
1061#95—31no—
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95C22×D311yescharacteristic
1069#95C22×D311yescharacteristic
1070#95C22×D311yescharacteristic
1071#95C22×D311yescharacteristic
1072#95C22×D311yescharacteristic
1073#95C22×D311yescharacteristic
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—21no—
1099C23×C3—21no—
1100C23×C3—21no—
1101C23×C3C22×D412yes—
1102C23×C3C2511yescharacteristic
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3C22×D412yes—
1131C3×Q8—44no—
1132C3×D4—44no—
1133C3×D4—44no—
1134C3×D4—44no—
1135C3×D4—82no—
1136C3×D4—82no—
1137C3×D4—82no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—44no—
1167C2×C3×C4—44no—
1168C2×C3×C4C22×D412yes—
1169C2×C3×C4C22×D412yes—
1170C2×C3×C4C22×D412yes—
1171C2×C3×C4C22×D412yes—
1172C2×C3×C4C22×D412yes—
1173#67—44no—
1174#67—44no—
1175#67—44no—
1176#67—44no—
1177#67—44no—
1178#67—44no—
1179#67—44no—
1180#67—44no—
1181#67—44no—
1182#67—44no—
1183#67—44no—
1184#67—44no—
1185#67—82no—
1186#67—82no—
1187#67—82no—
1188#67—82no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—28no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—44no—
1219C2×Dic3—44no—
1220C2×Dic3—44no—
1221C2×Dic3C22×D412yes—
1222C2×Dic3C22×D412yes—
1223C2×Dic3C22×D412yes—
1224C2×Dic3C22×D412yes—
1225C2×Dic3C22×D412yes—
1226C2×Dic3C22×D412yes—
1227C2×Dic3C22×D412yes—
1228C2×Dic3H(5,𝔽2)12yes—
1229D12—44no—
1230D12—44no—
1231D12—44no—
1232D12—82no—
1233D12—82no—
1234D12—82no—
1235C4×D3—28no—
1236C4×D3—44no—
1237C4×D3—44no—
1238C4×D3—44no—
1239C4×D3—44no—
1240C4×D3—44no—
1241Dic6—28no—
1242Dic6—28no—
1243Dic6—44no—
1244Dic6—44no—
1245C24—31no—
1246C24—31no—
1247C24—31no—
1248C24—31no—
1249C24C23×D311yescharacteristic
1250C24C23×D311yescharacteristic
1251C24C23×D311yescharacteristic
1252C24C23×D311yescharacteristic
1253#41—1216no—
1254#41—1216no—
1255#41—1216no—
1256C2×Q8—22no—
1257C2×Q8—22no—
1258C2×Q8—34no—
1259C2×Q8—34no—
1260C2×Q8—41no—
1261C2×Q8—62no—
1262C2×Q8—62no—
1263C2×Q8—62no—
1264C2×Q8—62no—
1265C2×Q8—62no—
1266C2×Q8—62no—
1267C2×Q8—62no—
1268C2×Q8—62no—
1269C2×Q8—62no—
1270C2×Q8—121no—
1271C2×Q8—1216no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—34no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—62no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—62no—
1306C2×D4—62no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—62no—
1310C2×D4—62no—
1311C2×D4—62no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
1315C2×D4—62no—
1316C2×D4—62no—
1317C2×D4—62no—
1318C2×D4—62no—
1319C2×D4—121no—
1320C2×D4—121no—
1321C2×D4—121no—
1322C2×D4—121no—
1323C2×D4—121no—
1324C2×D4—121no—
1325C2×D4—121no—
1326C2×D4—121no—
1327C2×D4—121no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—121no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—31no—
1360C22×C4—34no—
1361C22×C4—31no—
1362C22×C4—31no—
1363C22×C4—31no—
1364C22×C4—31no—
1365C22×C4—31no—
1366C22×C4—34no—
1367C22×C4—31no—
1368C22×C4—31no—
1369C22×C4—31no—
1370C22×C4—31no—
1371C22×C4—31no—
1372C22×C4—31no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—62no—
1377C22×C4—62no—
1378C22×C4—62no—
1379C22×C4—62no—
1380C22×C4—62no—
1381C22×C4—62no—
1382C22×C4—62no—
1383C22×C4—62no—
1384C22×C4—62no—
1385C22×C4—62no—
1386C22×C4—62no—
1387C22×C4—62no—
1388C22×C4—62no—
1389C22×C4—62no—
1390C22×C4—62no—
1391C22×C4—62no—
1392C22×C4—62no—
1393C22×C4—62no—
1394C22×C4—62no—
1395C22×C4—121no—
1396C22×C4—121no—
1397C22×C4—121no—
1398C22×C4—121no—
1399C22×C4—121no—
1400C22×C4—121no—
1401C22×C4—121no—
1402C22×C4—121no—
1403C22×C4—121no—
1404C22×C4C23×D311yescharacteristic
1405C22×C4C23×D311yescharacteristic
1406C22×C4C23×D311yescharacteristic
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C22×C4C23×D311yescharacteristic
1410C22×C4C23×D311yescharacteristic
1411C22×C4C23×D311yescharacteristic
1412C22×C4C23×D311yescharacteristic
1413C22×C4C23×D311yescharacteristic
1414C22×C4C23×D311yescharacteristic
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—34no—
1419C4⋊C4—34no—
1420C4⋊C4—34no—
1421C4⋊C4—34no—
1422C4⋊C4—41no—
1423C4⋊C4—62no—
1424C4⋊C4—62no—
1425C4⋊C4—62no—
1426C4⋊C4—62no—
1427C4⋊C4—62no—
1428C4⋊C4—62no—
1429C4⋊C4—62no—
1430C4⋊C4—62no—
1431C4⋊C4—62no—
1432C4⋊C4—62no—
1433C4⋊C4—62no—
1434C4⋊C4—121no—
1435C4⋊C4D3×D414yes—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—34no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—62no—
1457C22⋊C4—62no—
1458C22⋊C4—62no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
1461C22⋊C4—62no—
1462C22⋊C4—62no—
1463C22⋊C4—62no—
1464C22⋊C4—62no—
1465C22⋊C4—62no—
1466C22⋊C4—62no—
1467C22⋊C4—62no—
1468C22⋊C4—62no—
1469C22⋊C4—62no—
1470C22⋊C4—62no—
1471C22⋊C4—62no—
1472C22⋊C4—121no—
1473C22⋊C4—121no—
1474C22⋊C4—121no—
1475C22⋊C4—121no—
1476C22⋊C4—121no—
1477C22⋊C4—121no—
1478C22⋊C4—121no—
1479C22⋊C4—121no—
1480C22⋊C4—121no—
1481C22⋊C4—121no—
1482C22⋊C4—121no—
1483C22⋊C4—121no—
1484C22⋊C4—121no—
1485C22⋊C4—121no—
1486C22⋊C4—121no—
1487C22⋊C4D3×D414yes—
1488C42—22no—
1489C42—34no—
1490C42—34no—
1491C42—62no—
1492C42—62no—
1493C42—62no—
1494C42—62no—
1495C42—62no—
1496C42—62no—
1497C42—62no—
1498C42—62no—
1499C22×C3—22no—
1500C22×C3—22no—
1501C22×C3—22no—
1502C22×C3—41no—
1503C22×C3—41no—
1504C22×C3—41no—
1505C22×C3—41no—
1506C22×C3—41no—
1507C22×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—41no—
1519C22×C3—41no—
1520C22×C3—41no—
1521C22×C3—41no—
1522C22×C3—41no—
1523C22×C3—41no—
1524C22×C3—41no—
1525C22×C3—41no—
1526C22×C3—41no—
1527C22×C3C23×D411yescharacteristic
1528C22×C3C23×D411yescharacteristic
1529C22×C3C2×H(5,𝔽2)11yescharacteristic
1530C22×C3#58511yescharacteristic
1531C22×C3#58511yescharacteristic
1532C22×C3#58511yescharacteristic
1533C22×C3#58511yescharacteristic
1534C2×D3—22no—
1535C2×D3—22no—
1536C2×D3—22no—
1537C2×D3—41no—
1538C2×D3—41no—
1539C2×D3—41no—
1540C2×D3—41no—
1541C2×D3—41no—
1542C2×D3—41no—
1543C2×D3—41no—
1544C2×D3—41no—
1545C2×D3—41no—
1546C2×D3—41no—
1547C2×D3—41no—
1548C2×D3—41no—
1549C2×D3—41no—
1550C2×D3—41no—
1551C2×D3—41no—
1552C2×D3—41no—
1553C2×D3—41no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C2×D3—41no—
1562C3×C4—22no—
1563C3×C4—22no—
1564C3×C4—22no—
1565C3×C4—22no—
1566C3×C4—22no—
1567C3×C4—41no—
1568C3×C4—41no—
1569C3×C4—41no—
1570C3×C4—41no—
1571C3×C4—41no—
1572C3×C4—41no—
1573Dic3—22no—
1574Dic3—22no—
1575Dic3—22no—
1576Dic3—22no—
1577Dic3—22no—
1578Dic3—41no—
1579Dic3—41no—
1580Dic3—41no—
1581Dic3—41no—
1582Dic3—41no—
1583Dic3—41no—
1584Dic3D4214yes—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—32no—
1613C23—61no—
1614C23—61no—
1615C23—61no—
1616C23—61no—
1617C23—61no—
1618C23—61no—
1619C23—61no—
1620C23—61no—
1621C23—61no—
1622C23—61no—
1623C23—61no—
1624C23—61no—
1625C23—61no—
1626C23—61no—
1627C23—61no—
1628C23—61no—
1629C23—61no—
1630C23—61no—
1631C23—61no—
1632C23—61no—
1633C23—61no—
1634C23—61no—
1635C23—61no—
1636C23—61no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23C2×D3×D412yes—
1641C23C24×D311yescharacteristic
1642Q8—44no—
1643Q8—68no—
1644Q8—68no—
1645Q8—124no—
1646Q8—124no—
1647D4—44no—
1648D4—44no—
1649D4—44no—
1650D4—82no—
1651D4—82no—
1652D4—82no—
1653D4—124no—
1654D4—124no—
1655D4—124no—
1656D4—124no—
1657D4—124no—
1658D4—124no—
1659D4—124no—
1660D4—124no—
1661D4—124no—
1662D4—124no—
1663D4—124no—
1664D4—124no—
1665D4—124no—
1666D4—124no—
1667D4—124no—
1668D4—242no—
1669D4—242no—
1670D4—242no—
1671D4—242no—
1672D4—242no—
1673D4—242no—
1674D4—242no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—32no—
1704C2×C4—32no—
1705C2×C4—32no—
1706C2×C4—32no—
1707C2×C4—32no—
1708C2×C4—32no—
1709C2×C4—32no—
1710C2×C4—32no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—68no—
1714C2×C4—68no—
1715C2×C4—61no—
1716C2×C4—61no—
1717C2×C4—61no—
1718C2×C4—61no—
1719C2×C4—61no—
1720C2×C4—61no—
1721C2×C4—61no—
1722C2×C4—61no—
1723C2×C4—61no—
1724C2×C4—61no—
1725C2×C4—61no—
1726C2×C4—61no—
1727C2×C4—61no—
1728C2×C4—61no—
1729C2×C4—61no—
1730C2×C4—61no—
1731C2×C4—61no—
1732C2×C4—61no—
1733C2×C4—61no—
1734C2×C4—61no—
1735C2×C4—61no—
1736C2×C4—61no—
1737C2×C4—61no—
1738C2×C4—61no—
1739C2×C4—61no—
1740C2×C4—61no—
1741C2×C4—61no—
1742C2×C4—61no—
1743C2×C4—124no—
1744C2×C4—124no—
1745C2×C4—124no—
1746C2×C4—124no—
1747C2×C4—124no—
1748C2×C4—124no—
1749C2×C4—124no—
1750C2×C4—124no—
1751C2×C4C2×D3×D412yes—
1752C2×C4C2×D3×D412yes—
1753C2×C4C2×D3×D412yes—
1754C2×C4C2×D3×D412yes—
1755C2×C4C2×D3×D412yes—
1756C2×C3—42no—
1757C2×C3—81no—
1758C2×C3—81no—
1759C2×C3—81no—
1760C2×C3#344911yescharacteristic
1761C2×C3C2×D4211yescharacteristic
1762C2×C3#348711yescharacteristic
1763C2×C3#348711yescharacteristic
1764C2×C3#350011yescharacteristic
1765C2×C3#356211yescharacteristic
1766C2×C3#356211yescharacteristic
1767D3—42no—
1768D3—81no—
1769D3—81no—
1770D3—81no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—62no—
1800C22—62no—
1801C22—62no—
1802C22—121no—
1803C22—121no—
1804C22—121no—
1805C22—121no—
1806C22—121no—
1807C22—121no—
1808C22—121no—
1809C22—121no—
1810C22—121no—
1811C22—121no—
1812C22—121no—
1813C22—121no—
1814C22—121no—
1815C22—121no—
1816C22—121no—
1817C22—121no—
1818C22—121no—
1819C22—121no—
1820C22—121no—
1821C22—121no—
1822C22—121no—
1823C22—121no—
1824C22—121no—
1825C22—121no—
1826C22—121no—
1827C22C22×D3×D411yescharacteristic
1828C22C22×D3×D411yescharacteristic
1829C22#596411yescharacteristic
1830C22D3×H(5,𝔽2)11yescharacteristic
1831C22#596611yescharacteristic
1832C22#596611yescharacteristic
1833C22#596811yescharacteristic
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—34no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—62no—
1847C4—62no—
1848C4—62no—
1849C4—62no—
1850C4—62no—
1851C4—121no—
1852C4—121no—
1853C4—121no—
1854C4—121no—
1855C4—121no—
1856C4—121no—
1857C3#3768311yescharacteristic, complemented, Sylow
1858C2—42no—
1859C2—81no—
1860C2—81no—
1861C2—81no—
1862C2—122no—
1863C2—241no—
1864C2—241no—
1865C2—241no—
1866C2#8631511yescharacteristic
1867C2#8636311yescharacteristic
1868C2#8640711yescharacteristic
1869C2D3×D4211yescharacteristic
1870C2#8663211yescharacteristic
1871C2#8673611yescharacteristic
1872C2#8710211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2676C2
hypercenter#2676D3
hypocenterC3#37683
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2676

Complements

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

NH ≅ G/Ntype
1. C2×#5677C2semidirect
2. C2×#5628C2semidirect
3. C2×#5599C2semidirect
4. C2×#5596C2semidirect
5. C3×#2676C2semidirect
6. #82983C2semidirect
7. #82818C2semidirect
8. #82717C2semidirect
9. #82684C2semidirect
10. #77315C2semidirect
11. #77292C2semidirect
12. #77133C2semidirect
13. #76971C2semidirect
14. #76916C2semidirect
15. #76904C2semidirect
16. #76787C2semidirect
17. #76781C2semidirect
18. #76769C2semidirect
19. #76706C2semidirect
20. #76677C2semidirect
21. #76672C2semidirect
22. #76446C2semidirect
23. #76353C2semidirect
24. #75323C2semidirect
25. #74948C2semidirect
26. #74915C2semidirect
27. #74900C2semidirect
28. #74869C2semidirect
29. #74700C2semidirect
30. #74509C2semidirect
31. #74377C2semidirect
200. #2676D3semidirect
392. #888D4semidirect
411. #67⋊C4D4semidirect
1857. C3#37683semidirect

Maximal subgroups

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

subgroupindex
C2×#56772
C2×#56282
C2×#55992
C2×#55962
C3×#26762
#829832
#828182
#827172
#826842
#773152
#772922
#771332
#769712
#769162
#769042
#767872
#767812
#767692
#767062
#766772
#766722
#764462
#763532
#753232
#749482
#749152
#749002
#748692
#747002
#745092
#743772
#376833