Finite Group Databasebeta

← #11235438

Subgroups — #11235438

Order 768.

2446 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5647C211yesmaximal, characteristic, complemented
2C2×#5524C211yesmaximal, characteristic, complemented
3C3×#2477C211yesmaximal, characteristic, complemented
4#82797C211yesmaximal, characteristic, complemented
5#82251C211yesmaximal, characteristic, complemented
6#78371C211yesmaximal, characteristic, complemented
7#78316C211yesmaximal, characteristic, complemented
8#77728C211yesmaximal, characteristic, complemented
9#77694C211yesmaximal, characteristic, complemented
10#77136C211yesmaximal, characteristic, complemented
11#77001C211yesmaximal, characteristic, complemented
12#76878C211yesmaximal, characteristic, complemented
13#76876C211yesmaximal, characteristic, complemented
14#76628C211yesmaximal, characteristic, complemented
15#76505C211yesmaximal, characteristic, complemented
16#75923C211yesmaximal, characteristic, complemented
17#75848C211yesmaximal, characteristic, complemented
18#75668C211yesmaximal, characteristic, complemented
19#75512C211yesmaximal, characteristic, complemented
20#75321C211yesmaximal, characteristic, complemented
21#75315C211yesmaximal, characteristic, complemented
22#75313C211yesmaximal, characteristic, complemented
23#75169C211yesmaximal, characteristic, complemented
24#74936C211yesmaximal, characteristic, complemented
25#74910C211yesmaximal, characteristic, complemented
26#74896C211yesmaximal, characteristic, complemented
27#74804C211yesmaximal, characteristic, complemented
28#74655C211yesmaximal, characteristic, complemented
29#74600C211yesmaximal, characteristic, complemented
30#73589C211yesmaximal, characteristic, complemented
31#73585C211yesmaximal, characteristic, complemented
32#45447—31nomaximal, Sylow
33C22×#235C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic, complemented
36C2×C3×#117C2211yescharacteristic
37C2×#947C2211yescharacteristic
38C2×#946C2211yescharacteristic, complemented
39C2×#938C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#930C2211yescharacteristic
42C2×#929C2211yescharacteristic, complemented
43#5647—28no—
44#5524—28no—
45C2×#897C2211yescharacteristic
46C2×#897C2211yescharacteristic
47C2×#897C2211yescharacteristic, complemented
48C2×#896C2211yescharacteristic
49C2×#896C2211yescharacteristic
50C2×#895C2211yescharacteristic
51C2×#895C2211yescharacteristic
52C2×#894C2211yescharacteristic
53C2×#894C2211yescharacteristic, complemented
54C2×D3×C4⋊C4C2211yescharacteristic, complemented
55C2×#889C2211yescharacteristic, complemented
56C2×#886C2211yescharacteristic
57C2×#886C2211yescharacteristic
58C2×#885C2211yescharacteristic, complemented
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic, complemented
61C2×#883C2211yescharacteristic
62C2×#883C2211yescharacteristic
63C2×#883C2211yescharacteristic
64C2×#883C2211yescharacteristic, complemented
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#878C2211yescharacteristic
68C2×C4×D12C2211yescharacteristic
69C2×C4×D12C2211yescharacteristic
70C2×C4×D12C2211yescharacteristic
71C2×C4×D12C2211yescharacteristic
72C3×#400C2211yescharacteristic, complemented
73C3×#397C2211yescharacteristic, complemented
74C3×#394C2211yescharacteristic
75C3×#393C2211yescharacteristic
76C3×#391C2211yescharacteristic, complemented
77C3×#388C2211yescharacteristic
78C3×#388C2211yescharacteristic, complemented
79C3×#387C2211yescharacteristic, complemented
80C3×#387C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic
83C3×#385C2211yescharacteristic
84C3×C4×C22⋊C4C2211yescharacteristic, complemented
85#5231C2211yescharacteristic
86#5229C2211yescharacteristic, complemented
87#5223C2211yescharacteristic
88#5220C2211yescharacteristic
89#5213C2211yescharacteristic
90#5212C2211yescharacteristic, complemented
91#5210C2211yescharacteristic
92#5210C2211yescharacteristic
93#4994C2211yescharacteristic
94#4994C2211yescharacteristic
95#4989C2211yescharacteristic
96#4989C2211yescharacteristic
97#4989C2211yescharacteristic, complemented
98#4989C2211yescharacteristic, complemented
99#4988C2211yescharacteristic
100#4985C2211yescharacteristic, complemented
101#4984C2211yescharacteristic, complemented
102#4983C2211yescharacteristic, complemented
103#4981C2211yescharacteristic, complemented
104#4980C2211yescharacteristic, complemented
105#4979C2211yescharacteristic, complemented
106#4961C2211yescharacteristic
107#4961C2211yescharacteristic
108#4961C2211yescharacteristic
109#4961C2211yescharacteristic
110#4961C2211yescharacteristic, complemented
111#4960C2211yescharacteristic
112#4960C2211yescharacteristic
113#4959C2211yescharacteristic
114#4957C2211yescharacteristic
115#4956C2211yescharacteristic
116#4956C2211yescharacteristic
117#4956C2211yescharacteristic
118#4956C2211yescharacteristic
119#4956C2211yescharacteristic, complemented
120#4956C2211yescharacteristic, complemented
121#4955C2211yescharacteristic
122#4955C2211yescharacteristic
123#4955C2211yescharacteristic
124#4953C2211yescharacteristic
125#4950C2211yescharacteristic
126#4949C2211yescharacteristic, complemented
127#4948C2211yescharacteristic
128#4948C2211yescharacteristic, complemented
129#4948C2211yescharacteristic, complemented
130#4947C2211yescharacteristic, complemented
131#4945C2211yescharacteristic
132#4944C2211yescharacteristic
133#4942C2211yescharacteristic
134#4940C2211yescharacteristic
135#4940C2211yescharacteristic, complemented
136#4939C2211yescharacteristic
137#4935C2211yescharacteristic, complemented
138#4933C2211yescharacteristic, complemented
139#4933C2211yescharacteristic, complemented
140C4×Dic3⋊C4C2211yescharacteristic, complemented
141#4928C2211yescharacteristic, complemented
142#4677C2211yescharacteristic
143#4675C2211yescharacteristic
144#4675C2211yescharacteristic
145#4675C2211yescharacteristic
146#4675C2211yescharacteristic
147#4675C2211yescharacteristic, complemented
148#4674C2211yescharacteristic
149#4674C2211yescharacteristic
150#4674C2211yescharacteristic, complemented
151#4674C2211yescharacteristic, complemented
152#4672C2211yescharacteristic
153#4672C2211yescharacteristic
154#4670C2211yescharacteristic
155#4669C2211yescharacteristic, complemented
156#4668C2211yescharacteristic
157#4668C2211yescharacteristic
158#4668C2211yescharacteristic
159#4668C2211yescharacteristic
160#4668C2211yescharacteristic, complemented
161#4668C2211yescharacteristic, complemented
162#4668C2211yescharacteristic, complemented
163#4668C2211yescharacteristic, complemented
164#4667C2211yescharacteristic
165#4667C2211yescharacteristic
166#4667C2211yescharacteristic, complemented
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4664C2211yescharacteristic
176#4664C2211yescharacteristic
177#4664C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179D3×#95C2211yescharacteristic, complemented
180#4661C2211yescharacteristic, complemented
181#4661C2211yescharacteristic, complemented
182#4661C2211yescharacteristic, complemented
183#4660C2211yescharacteristic, complemented
184#4660C2211yescharacteristic, complemented
185#4659C2211yescharacteristic, complemented
186#4656C2211yescharacteristic, complemented
187#4656C2211yescharacteristic, complemented
188#4656C2211yescharacteristic, complemented
189#4656C2211yescharacteristic, complemented
190C2×#562—31no—
191C2×#525—31no—
192#2849—31no—
193#2848—31no—
194#2817—31no—
195#2814—31no—
196#2720—31no—
197#2708—31no—
198#2697—31no—
199#2693—31no—
200#2692—31no—
201#2688—31no—
202#2687—31no—
203#2684—31no—
204#2680—31no—
205#2678—31no—
206#2672—31no—
207#2668—31no—
208#2477D311yescharacteristic, complemented
209#2475—31no—
210#2461—31no—
211#2457—31no—
212#2450—31no—
213#2449—31no—
214#2447—31no—
215#2443—31no—
216#2430—31no—
217#2422—31no—
218#2419—31no—
219#2406—31no—
220#2377—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C2×#235—24no—
234C2×#235—42no—
235C2×#235—42no—
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×C4×D3—24no—
242C22×C4×D3—42no—
243C22×C4×D3—42no—
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×Dic6C2311yescharacteristic
255C22×Dic6C2311yescharacteristic
256C3×C22⋊Q8—24no—
257C3×#117—24no—
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276C2×C3×C42C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285#947—24no—
286#946—24no—
287#938—42no—
288#937—42no—
289#930—24no—
290#929—24no—
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352#897—24no—
353#897—24no—
354#897—24no—
355#896—24no—
356#896—42no—
357#895—24no—
358#895D418yescomplemented
359#894—24no—
360#894—24no—
361D3×C4⋊C4—42no—
362#889—24no—
363#886—24no—
364#886—24no—
365#885—24no—
366#884—24no—
367#884—24no—
368#883—24no—
369#883—42no—
370#883—42no—
371#883—42no—
372#882—24no—
373#882—24no—
374#878—42no—
375C4×D12—24no—
376C4×D12—24no—
377C4×D12—24no—
378C4×D12—24no—
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
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—
418C24×C4—31no—
419#562—68no—
420C2×#125—31no—
421C2×#124—31no—
422C2×#124—31no—
423#525—68no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—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⋊Q8C2×D311yescharacteristic, complemented
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×#117C2×D311yescharacteristic
455C22×C4⋊C4—31no—
456#400—31no—
457#400—31no—
458#400—31no—
459#400—31no—
460#400C2×D311yescharacteristic, complemented
461#399—31no—
462#399—31no—
463#398—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#398—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397C2×D311yescharacteristic, complemented
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#395—31no—
485#395—31no—
486#395—31no—
487#395—31no—
488#395—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394C2×D311yescharacteristic
498#393—31no—
499#393—31no—
500#393C2×D311yescharacteristic
501#392—31no—
502#392—31no—
503#392—31no—
504#391—31no—
505#391C2×D311yescharacteristic, complemented
506#390—31no—
507#390—31no—
508#390—31no—
509#389—31no—
510#389—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388C2×D311yescharacteristic
518#388C2×D311yescharacteristic, complemented
519#387—31no—
520#387—31no—
521#387—31no—
522#387C2×D311yescharacteristic, complemented
523#387C2×D311yescharacteristic, complemented
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386C2×D311yescharacteristic
541#386C2×D311yescharacteristic
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385C2×D311yescharacteristic
558#384—31no—
559#381—31no—
560#381—31no—
561#381—31no—
562#381—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#379—31no—
569#379—31no—
570#379—31no—
571C4×C4⋊C4—31no—
572C4×C22⋊C4C2×D311yescharacteristic, complemented
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C2×C3×Q8—22no—
588C2×C3×Q8—41no—
589C2×C3×Q8—41no—
590C2×C3×D4—22no—
591C2×C3×D4—41no—
592C2×C3×D4—41no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—41no—
621C2×#67—41no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C22×Dic3—22no—
631C22×Dic3—22no—
632C22×Dic3—41no—
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645#235—416no—
646C2×D12—22no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—41no—
651C2×D12—41no—
652C2×D12—41no—
653C2×D12—41no—
654C2×D12—41no—
655C2×D12—41no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12C2×D414yes—
659C2×D12C2×D414yes—
660C2×D12C2×D414yes—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3—416no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3C2×D414yes—
692C2×Dic6—22no—
693C2×Dic6—22no—
694C2×Dic6—41no—
695C2×Dic6—41no—
696C2×Dic6—41no—
697C2×Dic6—41no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—22no—
701C3×C4⋊C4—22no—
702C3×C4⋊C4—41no—
703C3×C4⋊C4C2×D414yes—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4—41no—
712C3×C22⋊C4—41no—
713C3×C22⋊C4—41no—
714C3×C42—22no—
715C3×C42—22no—
716C3×C42—41no—
717#217—22no—
718#217—22no—
719#217—22no—
720#217—41no—
721#217—41no—
722#217—41no—
723#217—41no—
724#217—41no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4C2×D414yes—
756(C2×D3)⋊C4C2×D414yes—
757C4⋊Dic3—22no—
758C4⋊Dic3—22no—
759C4⋊Dic3—22no—
760C4⋊Dic3—22no—
761C4⋊Dic3—22no—
762C4⋊Dic3—22no—
763C4⋊Dic3—41no—
764C4⋊Dic3—41no—
765C4⋊Dic3—41no—
766C4⋊Dic3—41no—
767C4⋊Dic3—41no—
768C4⋊Dic3—41no—
769C4⋊Dic3—41no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—41no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784C4×Dic3—22no—
785C4×Dic3—41no—
786C25—31no—
787C2×#41—64no—
788C2×#41—122no—
789C2×#41—122no—
790C22×Q8—31no—
791C22×Q8—31no—
792C22×Q8C22×D311yescharacteristic
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—31no—
803C22×D4—31no—
804C22×D4C22×D311yescharacteristic
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—64no—
817C23×C4—122no—
818C23×C4—122no—
819C23×C4C22×D311yescharacteristic
820C23×C4C22×D311yescharacteristic
821#125—64no—
822#124—64no—
823#124—64no—
824#123—64no—
825#123—64no—
826#123—64no—
827#123—64no—
828#123—64no—
829#123—64no—
830#123—122no—
831#123—122no—
832#123—122no—
833C22⋊Q8—24no—
834C22⋊Q8—64no—
835C22⋊Q8—64no—
836C22⋊Q8—64no—
837C22⋊Q8—64no—
838C22⋊Q8—64no—
839C22⋊Q8—122no—
840C22⋊Q8—122no—
841#121—38no—
842#121—64no—
843#121—64no—
844#121—64no—
845#121—64no—
846#121—122no—
847#120—64no—
848#120—64no—
849#120—122no—
850C4×D4—64no—
851C4×D4—64no—
852C4×D4—64no—
853C4×D4—64no—
854#117—24no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
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—122no—
883C2×C4⋊C4C22×D311yescharacteristic
884C2×C4⋊C4C22×D311yescharacteristic
885C2×C4⋊C4C22×D311yescharacteristic
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⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C22⋊C4C22×D311yescharacteristic
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C22⋊C4C22×D311yescharacteristic
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C42—31no—
940C2×C42—31no—
941C2×C42C22×D311yescharacteristic
942C2×C42C22×D311yescharacteristic
943C2×C42C22×D311yescharacteristic
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
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#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972#95C22×D311yescharacteristic
973#95C22×D311yescharacteristic
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3H(5,𝔽2)12yes—
996C23×C3C2511yescharacteristic
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—44no—
1022C22×D3—44no—
1023C22×D3—44no—
1024C22×D3—44no—
1025C22×D3—44no—
1026C22×D3—44no—
1027C22×D3—44no—
1028C22×D3C22×D412yes—
1029C22×D3C22×D412yes—
1030C22×D3C22×D412yes—
1031C22×D32−1+412yes—
1032C3×Q8—82no—
1033C3×D4—82no—
1034C2×C3×C4—28no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
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—82no—
1071C2×C3×C4C22×D412yes—
1072C2×C3×C4C22×D412yes—
1073C2×C3×C4C22×D412yes—
1074C2×C3×C4H(5,𝔽2)12yes—
1075#67—44no—
1076#67—44no—
1077#67—82no—
1078#67—82no—
1079#67—82no—
1080#67—82no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
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—44no—
1117C2×Dic3C22×D412yes—
1118D12—44no—
1119D12—44no—
1120D12—44no—
1121D12—44no—
1122D12—44no—
1123C4×D3—44no—
1124C4×D3—44no—
1125C4×D3—44no—
1126C4×D3—44no—
1127C4×D3—44no—
1128C4×D3—44no—
1129C4×D3—44no—
1130C4×D3—82no—
1131C4×D3—82no—
1132C4×D3—82no—
1133Dic6—44no—
1134Dic6—82no—
1135C24—31no—
1136C24—31no—
1137C24—31no—
1138C24—31no—
1139C24—62no—
1140C24—62no—
1141C24—62no—
1142C24—121no—
1143C24—121no—
1144C24—121no—
1145C24—121no—
1146C24C23×D311yescharacteristic
1147C24C23×D311yescharacteristic
1148#41—1216no—
1149C2×Q8—22no—
1150C2×Q8—41no—
1151C2×Q8—41no—
1152C2×Q8—62no—
1153C2×Q8—62no—
1154C2×Q8—121no—
1155C2×Q8—121no—
1156C2×Q8—121no—
1157C2×Q8—121no—
1158C2×D4—22no—
1159C2×D4—34no—
1160C2×D4—34no—
1161C2×D4—34no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—121no—
1177C2×D4—121no—
1178C2×D4—121no—
1179C2×D4—121no—
1180C2×D4—121no—
1181C2×D4—121no—
1182C2×D4—121no—
1183C2×D4—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—121no—
1193C2×D4—121no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—31no—
1199C22×C4—34no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—31no—
1208C22×C4—31no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—121no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4—121no—
1231C22×C4—121no—
1232C22×C4—121no—
1233C22×C4—121no—
1234C22×C4—121no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—1216no—
1245C22×C4—121no—
1246C22×C4C23×D311yescharacteristic
1247C22×C4C23×D311yescharacteristic
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C22×C4C23×D311yescharacteristic
1258C22×C4C23×D311yescharacteristic
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—41no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—121no—
1278C4⋊C4—121no—
1279C4⋊C4—121no—
1280C4⋊C4—121no—
1281C4⋊C4—121no—
1282C4⋊C4—121no—
1283C4⋊C4—121no—
1284C4⋊C4—121no—
1285C4⋊C4—121no—
1286C4⋊C4—121no—
1287C4⋊C4—121no—
1288C4⋊C4—121no—
1289C4⋊C4—121no—
1290C4⋊C4—121no—
1291C4⋊C4D3×D414yes—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—34no—
1299C22⋊C4—34no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—62no—
1310C22⋊C4—62no—
1311C22⋊C4—62no—
1312C22⋊C4—62no—
1313C22⋊C4—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4—121no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4—121no—
1334C22⋊C4—121no—
1335C22⋊C4—121no—
1336C22⋊C4—121no—
1337C22⋊C4—121no—
1338C22⋊C4—121no—
1339C22⋊C4—121no—
1340C22⋊C4—121no—
1341C22⋊C4—121no—
1342C42—22no—
1343C42—22no—
1344C42—41no—
1345C42—62no—
1346C42—121no—
1347C22×C3—22no—
1348C22×C3—22no—
1349C22×C3—22no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×C3—41no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—41no—
1357C22×C3—41no—
1358C22×C3—41no—
1359C22×C3—41no—
1360C22×C3—41no—
1361C22×C3C23×D411yescharacteristic
1362C22×C3C2×H(5,𝔽2)11yescharacteristic
1363C22×C3C2×H(5,𝔽2)11yescharacteristic
1364C22×C3C2×2−1+411yescharacteristic
1365C22×C3#58511yescharacteristic
1366C22×C3#58511yescharacteristic
1367C22×C3#58511yescharacteristic
1368C2×D3—22no—
1369C2×D3—22no—
1370C2×D3—22no—
1371C2×D3—22no—
1372C2×D3—22no—
1373C2×D3—22no—
1374C2×D3—22no—
1375C2×D3—22no—
1376C2×D3—22no—
1377C2×D3—22no—
1378C2×D3—22no—
1379C2×D3—22no—
1380C2×D3—416no—
1381C2×D3—41no—
1382C2×D3—41no—
1383C2×D3—41no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C3×C4—22no—
1398C3×C4—22no—
1399C3×C4—22no—
1400C3×C4—22no—
1401C3×C4—41no—
1402C3×C4—41no—
1403C3×C4—41no—
1404C3×C4—41no—
1405C3×C4—41no—
1406C3×C4—41no—
1407C3×C4—41no—
1408C3×C4—41no—
1409C3×C4—41no—
1410Dic3—22no—
1411Dic3—41no—
1412Dic3—41no—
1413Dic3—41no—
1414Dic3—41no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418Dic3—41no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3—41no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—32no—
1436C23—32no—
1437C23—32no—
1438C23—32no—
1439C23—61no—
1440C23—61no—
1441C23—61no—
1442C23—61no—
1443C23—61no—
1444C23—61no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—124no—
1464C23—124no—
1465C23—124no—
1466C23—124no—
1467C23—124no—
1468C23—124no—
1469C23—124no—
1470C23#100912yes—
1471C23C24×D311yescharacteristic
1472Q8—82no—
1473Q8—124no—
1474Q8—242no—
1475D4—82no—
1476D4—124no—
1477D4—124no—
1478D4—124no—
1479D4—124no—
1480D4—124no—
1481D4—124no—
1482D4—124no—
1483D4—242no—
1484D4—242no—
1485D4—242no—
1486D4—242no—
1487C2×C4—28no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—32no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—82no—
1560C2×C4—124no—
1561C2×C4—124no—
1562C2×C4—124no—
1563C2×C4—124no—
1564C2×C4—124no—
1565C2×C4—124no—
1566C2×C4—124no—
1567C2×C4—124no—
1568C2×C4—242no—
1569C2×C4—242no—
1570C2×C4—242no—
1571C2×C4C2×D3×D412yes—
1572C2×C4C2×D3×D412yes—
1573C2×C4C2×D3×D412yes—
1574C2×C4#100912yes—
1575C2×C3—42no—
1576C2×C3—81no—
1577C2×C3#348411yescharacteristic
1578C2×C3#348511yescharacteristic
1579C2×C3#348911yescharacteristic
1580C2×C3#352911yescharacteristic
1581C2×C3#353311yescharacteristic
1582C2×C3#353511yescharacteristic
1583C2×C3#354111yescharacteristic
1584D3—42no—
1585D3—42no—
1586D3—42no—
1587D3—42no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—62no—
1603C22—62no—
1604C22—62no—
1605C22—62no—
1606C22—62no—
1607C22—62no—
1608C22—62no—
1609C22—62no—
1610C22—62no—
1611C22—62no—
1612C22—62no—
1613C22—62no—
1614C22—1216no—
1615C22—121no—
1616C22—121no—
1617C22—121no—
1618C22—121no—
1619C22—121no—
1620C22—121no—
1621C22—121no—
1622C22—121no—
1623C22—121no—
1624C22—121no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22C22×D3×D411yescharacteristic
1632C22C2×#100911yescharacteristic
1633C22C2×#100911yescharacteristic
1634C22#596411yescharacteristic
1635C22#596411yescharacteristic
1636C22#596611yescharacteristic
1637C22D3×2−1+411yescharacteristic
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—62no—
1652C4—121no—
1653C4—121no—
1654C4—121no—
1655C4—121no—
1656C4—121no—
1657C4—121no—
1658C4—121no—
1659C4—121no—
1660C4—121no—
1661C4—121no—
1662C4—121no—
1663C3#4544711yescharacteristic, complemented, Sylow
1664C2—42no—
1665C2—81no—
1666C2—122no—
1667C2—122no—
1668C2—122no—
1669C2—122no—
1670C2#8603911yescharacteristic
1671C2#8617111yescharacteristic
1672C2#8656211yescharacteristic
1673C2#8666311yescharacteristic
1674C2#8671411yescharacteristic
1675C2#8681911yescharacteristic
1676C2#8684411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2477C2
hypercenter#2477D3
hypocenterC3#45447
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2477

Complements

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

NH ≅ G/Ntype
1. C2×#5647C2semidirect
2. C2×#5524C2semidirect
3. C3×#2477C2semidirect
4. #82797C2semidirect
5. #82251C2semidirect
6. #78371C2semidirect
7. #78316C2semidirect
8. #77728C2semidirect
9. #77694C2semidirect
10. #77136C2semidirect
11. #77001C2semidirect
12. #76878C2semidirect
13. #76876C2semidirect
14. #76628C2semidirect
15. #76505C2semidirect
16. #75923C2semidirect
17. #75848C2semidirect
18. #75668C2semidirect
19. #75512C2semidirect
20. #75321C2semidirect
21. #75315C2semidirect
22. #75313C2semidirect
23. #75169C2semidirect
24. #74936C2semidirect
25. #74910C2semidirect
26. #74896C2semidirect
27. #74804C2semidirect
28. #74655C2semidirect
29. #74600C2semidirect
30. #73589C2semidirect
31. #73585C2semidirect
35. C2×C3×C22⋊Q8C22semidirect
38. C2×#946C22semidirect
42. C2×#929C22semidirect
47. C2×#897C22semidirect
53. C2×#894C22semidirect
54. C2×D3×C4⋊C4C22semidirect
55. C2×#889C22semidirect
58. C2×#885C22semidirect
60. C2×#884C22semidirect
64. C2×#883C22semidirect
72. C3×#400C22semidirect
73. C3×#397C22semidirect
76. C3×#391C22semidirect
78. C3×#388C22semidirect
79. C3×#387C22semidirect
80. C3×#387C22semidirect
84. C3×C4×C22⋊C4C22semidirect
86. #5229C22semidirect
90. #5212C22semidirect
97. #4989C22semidirect
98. #4989C22semidirect
100. #4985C22semidirect
101. #4984C22semidirect
102. #4983C22semidirect
103. #4981C22semidirect
104. #4980C22semidirect
105. #4979C22semidirect
110. #4961C22semidirect
119. #4956C22semidirect
120. #4956C22semidirect
126. #4949C22semidirect
128. #4948C22semidirect
129. #4948C22semidirect
130. #4947C22semidirect
135. #4940C22semidirect
137. #4935C22semidirect
138. #4933C22semidirect
139. #4933C22semidirect
140. C4×Dic3⋊C4C22semidirect
141. #4928C22semidirect
147. #4675C22semidirect
150. #4674C22semidirect
151. #4674C22semidirect
155. #4669C22semidirect
160. #4668C22semidirect
161. #4668C22semidirect
162. #4668C22semidirect
163. #4668C22semidirect
166. #4667C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
177. #4664C22semidirect
178. #4664C22semidirect
179. D3×#95C22semidirect
180. #4661C22semidirect
181. #4661C22semidirect
182. #4661C22semidirect
183. #4660C22semidirect
184. #4660C22semidirect
185. #4659C22semidirect
186. #4656C22semidirect
187. #4656C22semidirect
188. #4656C22semidirect
189. #4656C22semidirect
208. #2477D3semidirect
358. #895D4semidirect
440. C2×C22⋊Q8C2×D3semidirect
460. #400C2×D3semidirect
478. #397C2×D3semidirect
505. #391C2×D3semidirect
518. #388C2×D3semidirect
522. #387C2×D3semidirect
523. #387C2×D3semidirect
572. C4×C22⋊C4C2×D3semidirect
1663. C3#45447semidirect

Maximal subgroups

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

subgroupindex
C2×#56472
C2×#55242
C3×#24772
#827972
#822512
#783712
#783162
#777282
#776942
#771362
#770012
#768782
#768762
#766282
#765052
#759232
#758482
#756682
#755122
#753212
#753152
#753132
#751692
#749362
#749102
#748962
#748042
#746552
#746002
#735892
#735852
#454473