Finite Group Databasebeta

← #11235424

Subgroups — #11235424

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×#5684C211yesmaximal, characteristic, complemented
2C2×#5656C211yesmaximal, characteristic, complemented
3C3×#2672C211yesmaximal, characteristic, complemented
4#82964C211yesmaximal, characteristic, complemented
5#82874C211yesmaximal, characteristic, complemented
6#82834C211yesmaximal, characteristic, complemented
7#82828C211yesmaximal, characteristic, complemented
8#82713C211yesmaximal, characteristic, complemented
9#82651C211yesmaximal, characteristic, complemented
10#78103C211yesmaximal, characteristic, complemented
11#78062C211yesmaximal, characteristic, complemented
12#77449C211yesmaximal, characteristic, complemented
13#77293C211yesmaximal, characteristic, complemented
14#77252C211yesmaximal, characteristic, complemented
15#77241C211yesmaximal, characteristic, complemented
16#77146C211yesmaximal, characteristic, complemented
17#77136C211yesmaximal, characteristic, complemented
18#77107C211yesmaximal, characteristic, complemented
19#77011C211yesmaximal, characteristic, complemented
20#76931C211yesmaximal, characteristic, complemented
21#76900C211yesmaximal, characteristic, complemented
22#76119C211yesmaximal, characteristic, complemented
23#76006C211yesmaximal, characteristic, complemented
24#75917C211yesmaximal, characteristic, complemented
25#75532C211yesmaximal, characteristic, complemented
26#74936C211yesmaximal, characteristic, complemented
27#74804C211yesmaximal, characteristic, complemented
28#74424C211yesmaximal, characteristic, complemented
29#74401C211yesmaximal, characteristic, complemented
30#74042C211yesmaximal, characteristic, complemented
31#73890C211yesmaximal, characteristic, complemented
32#45447—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#124C2211yescharacteristic, complemented
36C2×C3×#123C2211yescharacteristic
37C2×C3×C22⋊Q8C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic
39C2×#946C2211yescharacteristic
40C2×#946C2211yescharacteristic
41C2×#946C2211yescharacteristic, complemented
42C2×#939C2211yescharacteristic
43C2×#939C2211yescharacteristic, complemented
44C2×#937C2211yescharacteristic
45C2×#937C2211yescharacteristic
46C2×#935C2211yescharacteristic, complemented
47C2×#929C2211yescharacteristic
48#5684—28no—
49#5656—28no—
50C2×#896C2211yescharacteristic
51C2×#896C2211yescharacteristic
52C2×#893C2211yescharacteristic
53C2×#893C2211yescharacteristic
54C2×D3×C4⋊C4C2211yescharacteristic, complemented
55C2×#886C2211yescharacteristic
56C2×#886C2211yescharacteristic, complemented
57C2×#884C2211yescharacteristic
58C2×#884C2211yescharacteristic
59C2×#884C2211yescharacteristic
60C2×#883C2211yescharacteristic
61C2×#883C2211yescharacteristic
62C2×#883C2211yescharacteristic
63C2×#883C2211yescharacteristic, complemented
64C2×#882C2211yescharacteristic
65C2×#67⋊C4C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#878C2211yescharacteristic, complemented
68C2×#878C2211yescharacteristic, complemented
69C2×#877C2211yescharacteristic
70C2×#875C2211yescharacteristic
71C2×#870C2211yescharacteristic, complemented
72C3×#399C2211yescharacteristic, complemented
73C3×#396C2211yescharacteristic, complemented
74C3×#395C2211yescharacteristic, complemented
75C3×#394C2211yescharacteristic
76C3×#394C2211yescharacteristic
77C3×#394C2211yescharacteristic, complemented
78C3×#389C2211yescharacteristic, complemented
79C3×#388C2211yescharacteristic
80C3×#386C2211yescharacteristic
81C3×#385C2211yescharacteristic, complemented
82C3×#380C2211yescharacteristic, complemented
83#5230C2211yescharacteristic, complemented
84#5223C2211yescharacteristic
85#5223C2211yescharacteristic
86#5222C2211yescharacteristic
87#5220C2211yescharacteristic
88#5220C2211yescharacteristic
89#5220C2211yescharacteristic
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic, complemented
93#5212C2211yescharacteristic
94#5210C2211yescharacteristic
95C2×C3⋊#95C2211yescharacteristic, complemented
96#4994C2211yescharacteristic
97#4994C2211yescharacteristic
98#4993C2211yescharacteristic
99#4992C2211yescharacteristic
100#4992C2211yescharacteristic
101#4992C2211yescharacteristic
102#4992C2211yescharacteristic, complemented
103#4991C2211yescharacteristic
104#4990C2211yescharacteristic, complemented
105#4989C2211yescharacteristic
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4988C2211yescharacteristic
112#4987C2211yescharacteristic
113#4987C2211yescharacteristic
114#4986C2211yescharacteristic, complemented
115#4983C2211yescharacteristic, complemented
116#4982C2211yescharacteristic, complemented
117#4982C2211yescharacteristic, complemented
118#4982C2211yescharacteristic, complemented
119#4981C2211yescharacteristic, complemented
120#4980C2211yescharacteristic, complemented
121#4979C2211yescharacteristic, complemented
122#4979C2211yescharacteristic, complemented
123#4978C2211yescharacteristic, complemented
124#4975C2211yescharacteristic, complemented
125#4973C2211yescharacteristic, complemented
126#4973C2211yescharacteristic, complemented
127#4961C2211yescharacteristic
128#4960C2211yescharacteristic
129#4959C2211yescharacteristic
130#4959C2211yescharacteristic
131#4959C2211yescharacteristic
132#4958C2211yescharacteristic
133#4958C2211yescharacteristic
134#4957C2211yescharacteristic
135#4957C2211yescharacteristic
136#4956C2211yescharacteristic
137#4956C2211yescharacteristic
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4956C2211yescharacteristic, complemented
142#4955C2211yescharacteristic
143#4955C2211yescharacteristic
144#4955C2211yescharacteristic
145#4952C2211yescharacteristic
146#4952C2211yescharacteristic, complemented
147#4952C2211yescharacteristic, complemented
148#4951C2211yescharacteristic
149#4951C2211yescharacteristic, complemented
150#4950C2211yescharacteristic
151#4950C2211yescharacteristic, complemented
152#4948C2211yescharacteristic
153#4948C2211yescharacteristic, complemented
154#4947C2211yescharacteristic
155#4947C2211yescharacteristic, complemented
156#4946C2211yescharacteristic
157#4946C2211yescharacteristic
158#4946C2211yescharacteristic, complemented
159#4945C2211yescharacteristic
160#4944C2211yescharacteristic, complemented
161#4943C2211yescharacteristic, complemented
162#4942C2211yescharacteristic, complemented
163Dic3×C22⋊C4C2211yescharacteristic, complemented
164#4940C2211yescharacteristic
165C4×Dic3⋊C4C2211yescharacteristic, complemented
166#4675C2211yescharacteristic
167#4675C2211yescharacteristic
168#4675C2211yescharacteristic
169#4675C2211yescharacteristic, complemented
170#4673C2211yescharacteristic
171#4670C2211yescharacteristic
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic
174#4668C2211yescharacteristic, complemented
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4664C2211yescharacteristic
179#4664C2211yescharacteristic
180#4664C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4659C2211yescharacteristic, complemented
183#4658C2211yescharacteristic, complemented
184#4658C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, 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#2672D311yescharacteristic, complemented
207#2668—31no—
208#2477—31no—
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
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C2×#237—24no—
240C2×#237—42no—
241C2×#237—42no—
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×C4×D3—24no—
245C22×C4×D3—42no—
246C22×C4×D3—42no—
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×#124—24no—
257C3×#123—24no—
258C3×C22⋊Q8—42no—
259C3×#121—42no—
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
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×C4⋊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×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C42C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295#946—24no—
296#946—24no—
297#946—42no—
298#939—24no—
299#939—24no—
300#937—24no—
301#937—42no—
302#935—42no—
303#929—24no—
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×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×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357#896—24no—
358#896—24no—
359#893—24no—
360#893—24no—
361D3×C4⋊C4—42no—
362#886—24no—
363#886—24no—
364#884—24no—
365#884—24no—
366#884D418yescomplemented
367#883—24no—
368#883—24no—
369#883—42no—
370#883—42no—
371#882—24no—
372#67⋊C4—24no—
373#67⋊C4—24no—
374#878—24no—
375#878—24no—
376#877—24no—
377#875—24no—
378#870—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×#124C2×D311yescharacteristic, complemented
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×#123C2×D311yescharacteristic
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
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121C2×D311yescharacteristic
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×#117—31no—
455C22×C4⋊C4—31no—
456#400—31no—
457#400—31no—
458#400—31no—
459#400—31no—
460#400—31no—
461#399—31no—
462#399C2×D311yescharacteristic, complemented
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#397—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396C2×D311yescharacteristic, complemented
484#395—31no—
485#395—31no—
486#395—31no—
487#395—31no—
488#395C2×D311yescharacteristic, complemented
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394C2×D311yescharacteristic
496#394C2×D311yescharacteristic
497#394C2×D311yescharacteristic, complemented
498#393—31no—
499#393—31no—
500#393—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#391—31no—
505#391—31no—
506#390—31no—
507#390—31no—
508#390—31no—
509#389—31no—
510#389C2×D311yescharacteristic, complemented
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388C2×D311yescharacteristic
519#387—31no—
520#387—31no—
521#387—31no—
522#387—31no—
523#387—31no—
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#386—31no—
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, complemented
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#380C2×D311yescharacteristic, complemented
568#379—31no—
569#379—31no—
570#379—31no—
571C4×C4⋊C4—31no—
572C4×C22⋊C4—31no—
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C24×C3C2411yescharacteristic
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3—41no—
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—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4—41no—
604C22×C3×C4—41no—
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67C2×D414yes—
637C2×#67C2×D414yes—
638C22×Dic3—22no—
639C22×Dic3—22no—
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—22no—
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—41no—
646C22×Dic3—41no—
647C22×Dic3—41no—
648C22×Dic3—41no—
649C22×Dic3—41no—
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663#237—416no—
664C2×D12—22no—
665C2×D12—22no—
666C2×D12—41no—
667C2×D12—41no—
668C2×D12—41no—
669C2×D12C2×D414yes—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—416no—
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—41no—
701C3×C4⋊C4—41no—
702C3×C4⋊C4—41no—
703C3×C4⋊C4—41no—
704C3×C4⋊C4—41no—
705C3×C4⋊C4—41no—
706C3×C4⋊C4—41no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—41no—
715C3×C22⋊C4—41no—
716C3×C22⋊C4—41no—
717C3×C22⋊C4—41no—
718C3×C22⋊C4—41no—
719C3×C22⋊C4C2×D414yes—
720C3×C42—22no—
721#217—22no—
722#217—22no—
723#217—22no—
724#217—22no—
725#217—22no—
726#217—41no—
727#217—41no—
728#217—41no—
729#217—41no—
730#217—41no—
731#217—41no—
732#217—41no—
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—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—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)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4C2×D414yes—
758C4⋊Dic3—22no—
759C4⋊Dic3—22no—
760C4⋊Dic3—22no—
761C4⋊Dic3—22no—
762C4⋊Dic3—22no—
763C4⋊Dic3—41no—
764C4⋊Dic3—41no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—41no—
776Dic3⋊C4—41no—
777Dic3⋊C4—41no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4C2×D414yes—
782C4×Dic3—22no—
783C4×Dic3—22no—
784C4×Dic3—41no—
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×D4C22×D311yescharacteristic
803C22×D4C22×D311yescharacteristic
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—24no—
823#124—64no—
824#123—24no—
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—42no—
834C22⋊Q8—64no—
835C22⋊Q8—64no—
836C22⋊Q8—64no—
837C22⋊Q8—64no—
838C22⋊Q8—64no—
839C22⋊Q8—64no—
840C22⋊Q8—122no—
841#121—38no—
842#121—42no—
843#121—64no—
844#121—64no—
845#121—64no—
846#121—64no—
847#120—64no—
848#120—64no—
849#120—122no—
850C4×D4—64no—
851C4×D4—64no—
852C4×D4—64no—
853C4×D4—64no—
854#117—64no—
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—122no—
880C2×C4⋊C4C22×D311yescharacteristic
881C2×C4⋊C4C22×D311yescharacteristic
882C2×C4⋊C4C22×D311yescharacteristic
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⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
942C2×C42—31no—
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#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
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×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3C22×D412yes—
1002C23×C3H(5,𝔽2)12yes—
1003C23×C3C2511yescharacteristic
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—21no—
1022C22×D3—44no—
1023C22×D3—44no—
1024C22×D3—44no—
1025C22×D3—44no—
1026C22×D3—44no—
1027C22×D3—44no—
1028C22×D3—44no—
1029C22×D3C22×D412yes—
1030C22×D3C22×D412yes—
1031C22×D32−1+412yes—
1032C3×Q8—82no—
1033C3×D4—44no—
1034C3×D4—82no—
1035C3×D4—82no—
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—44no—
1071C2×C3×C4—82no—
1072C2×C3×C4C22×D412yes—
1073C2×C3×C4C22×D412yes—
1074#67—44no—
1075#67—44no—
1076#67—44no—
1077#67—44no—
1078#67—82no—
1079#67—82no—
1080#67—82no—
1081C2×Dic3—28no—
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—21no—
1117C2×Dic3—21no—
1118C2×Dic3—44no—
1119C2×Dic3—82no—
1120C2×Dic3—82no—
1121C2×Dic3C22×D412yes—
1122C2×Dic3C22×D412yes—
1123C2×Dic3H(5,𝔽2)12yes—
1124D12—44no—
1125D12—44no—
1126C4×D3—44no—
1127C4×D3—44no—
1128C4×D3—44no—
1129C4×D3—44no—
1130C4×D3—44no—
1131C4×D3—44no—
1132C4×D3—82no—
1133Dic6—44no—
1134Dic6—82no—
1135C24—31no—
1136C24—31no—
1137C24—31no—
1138C24—62no—
1139C24—62no—
1140C24—62no—
1141C24—121no—
1142C24—121no—
1143C24—121no—
1144C24—121no—
1145C24C23×D311yescharacteristic
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—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—34no—
1163C2×D4—34no—
1164C2×D4—34no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
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—31no—
1197C22×C4—31no—
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—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
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—62no—
1227C22×C4—62no—
1228C22×C4—62no—
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—1216no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4—121no—
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—34no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
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—62no—
1278C4⋊C4—62no—
1279C4⋊C4—62no—
1280C4⋊C4—62no—
1281C4⋊C4—62no—
1282C4⋊C4—62no—
1283C4⋊C4—62no—
1284C4⋊C4—121no—
1285C4⋊C4—121no—
1286C4⋊C4—121no—
1287C4⋊C4—121no—
1288C4⋊C4—121no—
1289C4⋊C4—121no—
1290C4⋊C4—121no—
1291C4⋊C4—121no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—34no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
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⋊C4D3×D414yes—
1342C42—22no—
1343C42—62no—
1344C42—62no—
1345C42—121no—
1346C42—121no—
1347C22×C3—22no—
1348C22×C3—22no—
1349C22×C3—22no—
1350C22×C3—22no—
1351C22×C3—22no—
1352C22×C3—22no—
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×C3—41no—
1362C22×C3—41no—
1363C22×C3—41no—
1364C22×C3—41no—
1365C22×C3—41no—
1366C22×C3—41no—
1367C22×C3—41no—
1368C22×C3C23×D411yescharacteristic
1369C22×C3C2×H(5,𝔽2)11yescharacteristic
1370C22×C3C2×H(5,𝔽2)11yescharacteristic
1371C22×C3C2×2−1+411yescharacteristic
1372C22×C3#58511yescharacteristic
1373C22×C3#58511yescharacteristic
1374C22×C3#58511yescharacteristic
1375C2×D3—22no—
1376C2×D3—22no—
1377C2×D3—22no—
1378C2×D3—22no—
1379C2×D3—22no—
1380C2×D3—22no—
1381C2×D3—22no—
1382C2×D3—22no—
1383C2×D3—22no—
1384C2×D3—416no—
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—41no—
1400C3×C4—41no—
1401C3×C4—41no—
1402C3×C4—41no—
1403C3×C4—41no—
1404C3×C4—41no—
1405C3×C4—41no—
1406C3×C4—41no—
1407C3×C4—41no—
1408C3×C4—41no—
1409Dic3—22no—
1410Dic3—22no—
1411Dic3—22no—
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—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—32no—
1442C23—32no—
1443C23—32no—
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—124no—
1463C23—124no—
1464C23—124no—
1465C23—124no—
1466C23—124no—
1467C23—124no—
1468C23—124no—
1469C23C2×D3×D412yes—
1470C23#100412yes—
1471C23C24×D311yescharacteristic
1472Q8—82no—
1473Q8—124no—
1474Q8—242no—
1475D4—44no—
1476D4—82no—
1477D4—82no—
1478D4—124no—
1479D4—124no—
1480D4—124no—
1481D4—124no—
1482D4—124no—
1483D4—124no—
1484D4—242no—
1485D4—242no—
1486D4—242no—
1487C2×C4—21no—
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—32no—
1522C2×C4—32no—
1523C2×C4—32no—
1524C2×C4—44no—
1525C2×C4—68no—
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—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—82no—
1563C2×C4—124no—
1564C2×C4—124no—
1565C2×C4—124no—
1566C2×C4—124no—
1567C2×C4—124no—
1568C2×C4—124no—
1569C2×C4—124no—
1570C2×C4—242no—
1571C2×C4—242no—
1572C2×C4—242no—
1573C2×C4C2×D3×D412yes—
1574C2×C4C2×D3×D412yes—
1575C2×C3—42no—
1576C2×C3—42no—
1577C2×C3—81no—
1578C2×C3#348411yescharacteristic
1579C2×C3#348511yescharacteristic
1580C2×C3#348911yescharacteristic
1581C2×C3#352911yescharacteristic
1582C2×C3#353311yescharacteristic
1583C2×C3#353511yescharacteristic
1584C2×C3#354111yescharacteristic
1585D3—42no—
1586D3—42no—
1587D3—42no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—62no—
1610C22—62no—
1611C22—62no—
1612C22—62no—
1613C22—62no—
1614C22—62no—
1615C22—62no—
1616C22—62no—
1617C22—62no—
1618C22—1216no—
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×#100411yescharacteristic
1633C22#596411yescharacteristic
1634C22D3×H(5,𝔽2)11yescharacteristic
1635C22#596611yescharacteristic
1636C22D3×2−1+411yescharacteristic
1637C22#596811yescharacteristic
1638C4—22no—
1639C4—22no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—62no—
1651C4—62no—
1652C4—62no—
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—42no—
1666C2—81no—
1667C2—122no—
1668C2—122no—
1669C2—122no—
1670C2#8635811yescharacteristic
1671C2#8638011yescharacteristic
1672C2#8653111yescharacteristic
1673C2#8662011yescharacteristic
1674C2#8666811yescharacteristic
1675C2#8670011yescharacteristic
1676C2#8709311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2672C2
hypercenter#2672D3
hypocenterC3#45447
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. C2×#5684C2semidirect
2. C2×#5656C2semidirect
3. C3×#2672C2semidirect
4. #82964C2semidirect
5. #82874C2semidirect
6. #82834C2semidirect
7. #82828C2semidirect
8. #82713C2semidirect
9. #82651C2semidirect
10. #78103C2semidirect
11. #78062C2semidirect
12. #77449C2semidirect
13. #77293C2semidirect
14. #77252C2semidirect
15. #77241C2semidirect
16. #77146C2semidirect
17. #77136C2semidirect
18. #77107C2semidirect
19. #77011C2semidirect
20. #76931C2semidirect
21. #76900C2semidirect
22. #76119C2semidirect
23. #76006C2semidirect
24. #75917C2semidirect
25. #75532C2semidirect
26. #74936C2semidirect
27. #74804C2semidirect
28. #74424C2semidirect
29. #74401C2semidirect
30. #74042C2semidirect
31. #73890C2semidirect
35. C2×C3×#124C22semidirect
41. C2×#946C22semidirect
43. C2×#939C22semidirect
46. C2×#935C22semidirect
54. C2×D3×C4⋊C4C22semidirect
56. C2×#886C22semidirect
63. C2×#883C22semidirect
67. C2×#878C22semidirect
68. C2×#878C22semidirect
71. C2×#870C22semidirect
72. C3×#399C22semidirect
73. C3×#396C22semidirect
74. C3×#395C22semidirect
77. C3×#394C22semidirect
78. C3×#389C22semidirect
81. C3×#385C22semidirect
82. C3×#380C22semidirect
83. #5230C22semidirect
92. #5213C22semidirect
95. C2×C3⋊#95C22semidirect
102. #4992C22semidirect
104. #4990C22semidirect
109. #4989C22semidirect
110. #4989C22semidirect
114. #4986C22semidirect
115. #4983C22semidirect
116. #4982C22semidirect
117. #4982C22semidirect
118. #4982C22semidirect
119. #4981C22semidirect
120. #4980C22semidirect
121. #4979C22semidirect
122. #4979C22semidirect
123. #4978C22semidirect
124. #4975C22semidirect
125. #4973C22semidirect
126. #4973C22semidirect
139. #4956C22semidirect
140. #4956C22semidirect
141. #4956C22semidirect
146. #4952C22semidirect
147. #4952C22semidirect
149. #4951C22semidirect
151. #4950C22semidirect
153. #4948C22semidirect
155. #4947C22semidirect
158. #4946C22semidirect
160. #4944C22semidirect
161. #4943C22semidirect
162. #4942C22semidirect
163. Dic3×C22⋊C4C22semidirect
165. C4×Dic3⋊C4C22semidirect
169. #4675C22semidirect
174. #4668C22semidirect
180. #4664C22semidirect
181. #4660C22semidirect
182. #4659C22semidirect
183. #4658C22semidirect
184. #4658C22semidirect
185. #4656C22semidirect
186. #4655C22semidirect
187. #4653C22semidirect
188. #4652C22semidirect
189. #4647C22semidirect
206. #2672D3semidirect
366. #884D4semidirect
422. C2×#124C2×D3semidirect
462. #399C2×D3semidirect
483. #396C2×D3semidirect
488. #395C2×D3semidirect
497. #394C2×D3semidirect
510. #389C2×D3semidirect
557. #385C2×D3semidirect
567. #380C2×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×#56842
C2×#56562
C3×#26722
#829642
#828742
#828342
#828282
#827132
#826512
#781032
#780622
#774492
#772932
#772522
#772412
#771462
#771362
#771072
#770112
#769312
#769002
#761192
#760062
#759172
#755322
#749362
#748042
#744242
#744012
#740422
#738902
#454473