Finite Group Databasebeta

← #11003517

Subgroups — #11003517

Order 768.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2749C211yesmaximal, characteristic, complemented
2#78393C211yesmaximal, characteristic, complemented
3#78361C211yesmaximal, characteristic, complemented
4#77691C211yesmaximal, characteristic, complemented
5#77689C211yesmaximal, characteristic, complemented
6#77688C211yesmaximal, characteristic, complemented
7#77675C211yesmaximal, characteristic, complemented
8#77416C211yesmaximal, characteristic, complemented
9#77375C211yesmaximal, characteristic, complemented
10#77108C211yesmaximal, characteristic, complemented
11#77064C211yesmaximal, characteristic, complemented
12#76753C211yesmaximal, characteristic, complemented
13#76717C211yesmaximal, characteristic, complemented
14#76463C211yesmaximal, characteristic, complemented
15#76330C211yesmaximal, characteristic, complemented
16#75826C211yesmaximal, characteristic, complemented
17#75770C211yesmaximal, characteristic, complemented
18#74935C211yesmaximal, characteristic, complemented
19#74924C211yesmaximal, characteristic, complemented
20#74916C211yesmaximal, characteristic, complemented
21#74888C211yesmaximal, characteristic, complemented
22#74874C211yesmaximal, characteristic, complemented
23D3×#386C211yesmaximal, characteristic, complemented
24#74814C211yesmaximal, characteristic, complemented
25#74809C211yesmaximal, characteristic, complemented
26#74634C211yesmaximal, characteristic, complemented
27#74607C211yesmaximal, characteristic, complemented
28#74313C211yesmaximal, characteristic, complemented
29#74301C211yesmaximal, characteristic, complemented
30#74146C211yesmaximal, characteristic, complemented
31#74143C211yesmaximal, characteristic, complemented
32#36776—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C23×C4×D3C2211yescharacteristic, complemented
36C2×#939C2211yescharacteristic, complemented
37C2×#939C2211yescharacteristic, complemented
38C2×#937C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#930C2211yescharacteristic, complemented
41C2×#929C2211yescharacteristic, complemented
42C22×(C2×D3)⋊C4C2211yescharacteristic
43C2×#924C2211yescharacteristic, complemented
44C2×#896C2211yescharacteristic, complemented
45C2×#895C2211yescharacteristic
46C2×#895C2211yescharacteristic, complemented
47C2×#893C2211yescharacteristic, complemented
48C2×#886C2211yescharacteristic, complemented
49C2×#885C2211yescharacteristic, complemented
50C2×#884C2211yescharacteristic
51C2×#884C2211yescharacteristic, complemented
52C2×#882C2211yescharacteristic
53C2×#882C2211yescharacteristic
54C2×#882C2211yescharacteristic
55C2×#882C2211yescharacteristic, complemented
56C2×#882C2211yescharacteristic, complemented
57C2×D3×C22⋊C4C2211yescharacteristic
58C2×D3×C22⋊C4C2211yescharacteristic
59C2×D3×C22⋊C4C2211yescharacteristic, complemented
60C3×#400C2211yescharacteristic, complemented
61C3×#397C2211yescharacteristic, complemented
62C3×#397C2211yescharacteristic, complemented
63C3×#396C2211yescharacteristic, complemented
64C3×#394C2211yescharacteristic, complemented
65C3×#392C2211yescharacteristic
66C3×#390C2211yescharacteristic, complemented
67C3×#388C2211yescharacteristic, complemented
68C3×#386C2211yescharacteristic, complemented
69C3×#386C2211yescharacteristic, complemented
70C3×#386C2211yescharacteristic, complemented
71C3×#386C2211yescharacteristic, complemented
72C3×#385C2211yescharacteristic, complemented
73C3×#383C2211yescharacteristic, complemented
74C3×#381C2211yescharacteristic, complemented
75#5223C2211yescharacteristic
76#5223C2211yescharacteristic
77#5223C2211yescharacteristic, complemented
78#5222C2211yescharacteristic, complemented
79#5220C2211yescharacteristic, complemented
80#5220C2211yescharacteristic, complemented
81#5213C2211yescharacteristic
82#5213C2211yescharacteristic, complemented
83#5213C2211yescharacteristic, complemented
84#4994C2211yescharacteristic, complemented
85#4993C2211yescharacteristic, complemented
86#4992C2211yescharacteristic, complemented
87#4991C2211yescharacteristic, complemented
88#4991C2211yescharacteristic, complemented
89#4990C2211yescharacteristic, complemented
90#4990C2211yescharacteristic, complemented
91#4989C2211yescharacteristic, complemented
92#4989C2211yescharacteristic, complemented
93#4986C2211yescharacteristic, complemented
94#4985C2211yescharacteristic, complemented
95#4985C2211yescharacteristic, complemented
96#4961C2211yescharacteristic
97#4961C2211yescharacteristic, complemented
98#4960C2211yescharacteristic
99#4960C2211yescharacteristic
100#4960C2211yescharacteristic, complemented
101#4960C2211yescharacteristic, complemented
102#4959C2211yescharacteristic, complemented
103#4959C2211yescharacteristic, complemented
104#4958C2211yescharacteristic
105#4958C2211yescharacteristic, complemented
106#4958C2211yescharacteristic, complemented
107#4957C2211yescharacteristic, complemented
108#4957C2211yescharacteristic, complemented
109#4956C2211yescharacteristic
110#4956C2211yescharacteristic
111#4956C2211yescharacteristic
112#4956C2211yescharacteristic
113#4956C2211yescharacteristic
114#4956C2211yescharacteristic, complemented
115#4956C2211yescharacteristic, complemented
116#4956C2211yescharacteristic, complemented
117#4956C2211yescharacteristic, complemented
118#4956C2211yescharacteristic, complemented
119#4956C2211yescharacteristic, complemented
120#4955C2211yescharacteristic
121#4955C2211yescharacteristic, complemented
122#4955C2211yescharacteristic, complemented
123#4955C2211yescharacteristic, complemented
124#4955C2211yescharacteristic, complemented
125#4953C2211yescharacteristic, complemented
126#4952C2211yescharacteristic, complemented
127#4951C2211yescharacteristic, complemented
128#4948C2211yescharacteristic, complemented
129#4947C2211yescharacteristic, complemented
130#4946C2211yescharacteristic, complemented
131#4944C2211yescharacteristic, complemented
132#4944C2211yescharacteristic, complemented
133#4943C2211yescharacteristic, complemented
134#4942C2211yescharacteristic, complemented
135#4942C2211yescharacteristic, complemented
136#4940C2211yescharacteristic, complemented
137#4940C2211yescharacteristic, complemented
138#4939C2211yescharacteristic, complemented
139C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
140#4676C2211yescharacteristic, complemented
141#4675C2211yescharacteristic, complemented
142#4675C2211yescharacteristic, complemented
143#4675C2211yescharacteristic, complemented
144#4675C2211yescharacteristic, complemented
145#4674C2211yescharacteristic, complemented
146#4673C2211yescharacteristic, complemented
147#4673C2211yescharacteristic, complemented
148#4673C2211yescharacteristic, complemented
149#4672C2211yescharacteristic
150#4672C2211yescharacteristic, complemented
151#4672C2211yescharacteristic, complemented
152#4671C2211yescharacteristic
153#4669C2211yescharacteristic, complemented
154#4669C2211yescharacteristic, complemented
155#4668C2211yescharacteristic, complemented
156#4668C2211yescharacteristic, complemented
157#4668C2211yescharacteristic, complemented
158#4668C2211yescharacteristic, complemented
159#4668C2211yescharacteristic, complemented
160#4667C2211yescharacteristic, complemented
161#4667C2211yescharacteristic, complemented
162#4665C2211yescharacteristic
163#4665C2211yescharacteristic
164#4665C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic, complemented
170#4665C2211yescharacteristic, complemented
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4664C2211yescharacteristic, complemented
177#4664C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179D3×#95C2211yescharacteristic, complemented
180D3×#95C2211yescharacteristic, complemented
181C3⋊#401C2211yescharacteristic, complemented
182C3⋊#401C2211yescharacteristic, complemented
183#4660C2211yescharacteristic, complemented
184#4658C2211yescharacteristic, complemented
185#4658C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#2849—31no—
189#2847—31no—
190#2778—31no—
191#2778—31no—
192#2760—31no—
193#2750—31no—
194#2749—31no—
195#2749D311yescharacteristic, complemented
196#2743—31no—
197#2703—31no—
198#2697—31no—
199#2696—31no—
200#2688—31no—
201#2688—31no—
202#2684—31no—
203#2678—31no—
204#2676—31no—
205#2668—31no—
206#2643—31no—
207#2639—31no—
208#2510—31no—
209#2472—31no—
210#2444—31no—
211#2437—31no—
212#2424—31no—
213#2410—31no—
214#2410—31no—
215#2403—31no—
216#2321—31no—
217#2308—31no—
218C2×#386—31no—
219C24×D3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C2×D3×D4—24no—
239C2×D3×D4—24no—
240C2×D3×D4—42no—
241C2×D3×D4—42no—
242C2×D3×D4—42no—
243C2×D3×D4—42no—
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×C4×D3—42no—
252C22×C4×D3—42no—
253C22×C4×D3—42no—
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×Dic6C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C42C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292#939—42no—
293#939—42no—
294#937—42no—
295#937—42no—
296#930—42no—
297#929—42no—
298C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339#924—42no—
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×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351#896—42no—
352#895—42no—
353#895—42no—
354#893—42no—
355#886—42no—
356#885—42no—
357#884—42no—
358#884—42no—
359#882—24no—
360#882—42no—
361#882—42no—
362#882—42no—
363#882—42no—
364D3×C22⋊C4—42no—
365D3×C22⋊C4—42no—
366D3×C22⋊C4—42no—
367C3×#95C2311yescharacteristic
368C3×#95C2311yescharacteristic
369C3×#95C2311yescharacteristic
370C3×#95C2311yescharacteristic
371C3×#95C2311yescharacteristic
372C3×#95C2311yescharacteristic
373C3×#95C2311yescharacteristic
374C3×#95C2311yescharacteristic
375C3×#95C2311yescharacteristic
376C3×#95C2311yescharacteristic
377C3×#95C2311yescharacteristic
378C3×#95C2311yescharacteristic
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
407C23×D4—31no—
408C23×D4—31no—
409C24×C4—31no—
410C2×#124—31no—
411C2×#123—31no—
412C2×#123—31no—
413C2×C22⋊Q8—31no—
414C2×C22⋊Q8—31no—
415C2×#121—31no—
416C2×#121—31no—
417C2×#121—31no—
418C2×#121—31no—
419C2×#121—31no—
420C2×#121—31no—
421C2×#121—31no—
422C2×#120—31no—
423C2×#120—31no—
424C2×#120—31no—
425C2×#120—31no—
426C2×#120—31no—
427C2×#120—31no—
428C2×#120—31no—
429C2×C4×D4—31no—
430C22×C22⋊C4—31no—
431C22×C22⋊C4—31no—
432C22×C22⋊C4—31no—
433C22×C22⋊C4—31no—
434#401—31no—
435#401—31no—
436#400—31no—
437#400—31no—
438#400—31no—
439#400—31no—
440#400—31no—
441#400—31no—
442#400C2×D311yescharacteristic, complemented
443#399—31no—
444#397—31no—
445#397—31no—
446#397—31no—
447#397—31no—
448#397—31no—
449#397—31no—
450#397—31no—
451#397—31no—
452#397C2×D311yescharacteristic, complemented
453#397C2×D311yescharacteristic, complemented
454#396—31no—
455#396—31no—
456#396—31no—
457#396C2×D311yescharacteristic, complemented
458#394—31no—
459#394—31no—
460#394—31no—
461#394—31no—
462#394—31no—
463#394—31no—
464#394—31no—
465#394—31no—
466#394—31no—
467#394—31no—
468#394C2×D311yescharacteristic, complemented
469#393—31no—
470#393—31no—
471#393—31no—
472#393—31no—
473#392—31no—
474#392—31no—
475#392—31no—
476#392—31no—
477#392—31no—
478#392—31no—
479#392—31no—
480#392—31no—
481#392C2×D311yescharacteristic
482#390—31no—
483#390—31no—
484#390—31no—
485#390C2×D311yescharacteristic, complemented
486#388—31no—
487#388—31no—
488#388—31no—
489#388—31no—
490#388—31no—
491#388—31no—
492#388—31no—
493#388—31no—
494#388—31no—
495#388C2×D311yescharacteristic, complemented
496#387—31no—
497#387—31no—
498#386—31no—
499#386—31no—
500#386—31no—
501#386—31no—
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386—31no—
507#386—31no—
508#386—31no—
509#386—31no—
510#386—31no—
511#386—31no—
512#386—31no—
513#386—31no—
514#386—31no—
515#386—31no—
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386C2×D311yescharacteristic, complemented
532#386C2×D311yescharacteristic, complemented
533#386C2×D311yescharacteristic, complemented
534#386C2×D311yescharacteristic, complemented
535#385—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385C2×D311yescharacteristic, complemented
544#383C2×D311yescharacteristic, complemented
545#381—31no—
546#381—31no—
547#381—31no—
548#381—31no—
549#381C2×D311yescharacteristic, complemented
550#380—31no—
551#380—31no—
552#380—31no—
553#380—31no—
554#379—31no—
555#379—31no—
556#379—31no—
557#379—31no—
558#379—31no—
559C4×C22⋊C4—31no—
560C2×#95—31no—
561C2×#95—31no—
562C24×C3C2411yescharacteristic
563C24×C3C2411yescharacteristic
564C24×C3C2411yescharacteristic
565C23×D3—22no—
566C23×D3—22no—
567C23×D3—22no—
568C23×D3—22no—
569C23×D3—22no—
570C23×D3—22no—
571C23×D3—22no—
572C23×D3—22no—
573C23×D3—41no—
574C23×D3—41no—
575C23×D3—41no—
576C23×D3—41no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3#4114yes—
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C22×C3×C4—22no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4—41no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—41no—
648C22×Dic3—41no—
649C22×Dic3—41no—
650C22×Dic3—41no—
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662D3×D4—416no—
663D3×D4—416no—
664C2×D12—22no—
665C2×D12—22no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—41no—
676C2×D12—41no—
677C2×D12—41no—
678C2×D12—41no—
679C2×D12—41no—
680C2×D12—41no—
681C2×D12—41no—
682C2×D12—41no—
683C2×D12—41no—
684C2×D12—41no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—416no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×Dic6—41no—
714C2×Dic6—41no—
715C2×Dic6—41no—
716C3×C4⋊C4—41no—
717C3×C4⋊C4—41no—
718C3×C4⋊C4—41no—
719C3×C4⋊C4—41no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4—41no—
723C3×C22⋊C4—41no—
724C3×C22⋊C4—41no—
725C3×C22⋊C4—41no—
726C3×C22⋊C4—41no—
727C3×C22⋊C4—41no—
728C3×C22⋊C4—41no—
729C3×C22⋊C4—41no—
730C3×C22⋊C4—41no—
731C3×C22⋊C4—41no—
732C3×C22⋊C4—41no—
733C3×C42—41no—
734#217—22no—
735#217—22no—
736#217—41no—
737#217—41no—
738#217—41no—
739#217—41no—
740#217—41no—
741#217—41no—
742#217—41no—
743#217—41no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781C4⋊Dic3—22no—
782C4⋊Dic3—41no—
783C4⋊Dic3—41no—
784Dic3⋊C4—22no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790Dic3⋊C4—41no—
791Dic3⋊C4—41no—
792Dic3⋊C4—41no—
793C4×Dic3—41no—
794C4×Dic3—41no—
795C25—31no—
796C25—31no—
797C25—31no—
798C22×Q8—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—31no—
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—64no—
816C22×D4—64no—
817C22×D4—122no—
818C22×D4—122no—
819C22×D4—122no—
820C22×D4—122no—
821C22×D4C22×D311yescharacteristic
822C22×D4C22×D311yescharacteristic
823C22×D4C22×D311yescharacteristic
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4—31no—
835C23×C4—122no—
836C23×C4—122no—
837C23×C4—122no—
838C23×C4C22×D311yescharacteristic
839C23×C4C22×D311yescharacteristic
840#124—122no—
841#123—122no—
842#123—122no—
843C22⋊Q8—122no—
844C22⋊Q8—122no—
845#121—122no—
846#121—122no—
847#121—122no—
848#121—122no—
849#121—122no—
850#121—122no—
851#121—122no—
852#120—64no—
853#120—122no—
854#120—122no—
855#120—122no—
856#120—122no—
857#120—122no—
858#120—122no—
859C4×D4—122no—
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⋊C4C22×D311yescharacteristic
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C4⋊C4C22×D311yescharacteristic
875C2×C4⋊C4C22×D311yescharacteristic
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
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—122no—
924C2×C22⋊C4—122no—
925C2×C22⋊C4—122no—
926C2×C22⋊C4—122no—
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×C22⋊C4C22×D311yescharacteristic
940C2×C42—31no—
941C2×C42—31no—
942C2×C42C22×D311yescharacteristic
943#95—31no—
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#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
982#95C22×D311yescharacteristic
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×C3—21no—
1002C23×C3C2×#4112yes—
1003C23×C3H(5,𝔽2)12yes—
1004C23×C3C2511yescharacteristic
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—28no—
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—28no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—44no—
1038C22×D3—44no—
1039C22×D3—44no—
1040C22×D3—44no—
1041C22×D3—44no—
1042C22×D3—44no—
1043C22×D3—44no—
1044C22×D3—44no—
1045C22×D3—44no—
1046C22×D3—82no—
1047C22×D3—82no—
1048C22×D3—82no—
1049C22×D3—82no—
1050C22×D3—82no—
1051C22×D3—82no—
1052C22×D3—82no—
1053C22×D3—82no—
1054C22×D3—82no—
1055C22×D3—82no—
1056C22×D3C2×#4112yes—
1057C22×D3C2×#4112yes—
1058C22×D3H(5,𝔽2)12yes—
1059C22×D3H(5,𝔽2)12yes—
1060C22×D3H(5,𝔽2)12yes—
1061C3×D4—44no—
1062C3×D4—44no—
1063C3×D4—82no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—44no—
1101C2×C3×C4—82no—
1102#67—44no—
1103#67—44no—
1104#67—44no—
1105#67—44no—
1106#67—82no—
1107#67—82no—
1108#67—82no—
1109#67—82no—
1110#67—82no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—44no—
1144C2×Dic3—82no—
1145C2×Dic3H(5,𝔽2)12yes—
1146D12—44no—
1147D12—44no—
1148D12—44no—
1149D12—82no—
1150D12—82no—
1151D12—82no—
1152D12—82no—
1153C4×D3—44no—
1154C4×D3—44no—
1155C4×D3—44no—
1156C4×D3—44no—
1157C4×D3—44no—
1158C4×D3—44no—
1159C4×D3—82no—
1160C4×D3—82no—
1161C4×D3—82no—
1162Dic6—82no—
1163C24—31no—
1164C24—31no—
1165C24—31no—
1166C24—34no—
1167C24—31no—
1168C24—31no—
1169C24—62no—
1170C24—62no—
1171C24—62no—
1172C24—62no—
1173C24—62no—
1174C24—62no—
1175C24—62no—
1176C24—62no—
1177C24—121no—
1178C24—121no—
1179C24—121no—
1180C24—121no—
1181C24—121no—
1182C24—121no—
1183C24—121no—
1184C24—121no—
1185C24—121no—
1186C24—121no—
1187C24—121no—
1188C24—121no—
1189C24C23×D311yescharacteristic
1190C24C23×D311yescharacteristic
1191C24C23×D311yescharacteristic
1192C2×Q8—121no—
1193C2×Q8—121no—
1194C2×Q8—121no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—62no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—62no—
1212C2×D4—62no—
1213C2×D4—62no—
1214C2×D4—62no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—62no—
1221C2×D4—62no—
1222C2×D4—62no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4—62no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C2×D4—121no—
1231C2×D4—121no—
1232C2×D4—121no—
1233C2×D4—121no—
1234C2×D4—121no—
1235C2×D4—121no—
1236C2×D4—121no—
1237C2×D4—121no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—1216no—
1253C2×D4—1216no—
1254C22×C4—22no—
1255C22×C4—31no—
1256C22×C4—31no—
1257C22×C4—31no—
1258C22×C4—31no—
1259C22×C4—31no—
1260C22×C4—31no—
1261C22×C4—31no—
1262C22×C4—31no—
1263C22×C4—31no—
1264C22×C4—31no—
1265C22×C4—31no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—62no—
1272C22×C4—62no—
1273C22×C4—62no—
1274C22×C4—62no—
1275C22×C4—62no—
1276C22×C4—62no—
1277C22×C4—62no—
1278C22×C4—62no—
1279C22×C4—62no—
1280C22×C4—62no—
1281C22×C4—121no—
1282C22×C4—121no—
1283C22×C4—121no—
1284C22×C4—121no—
1285C22×C4—121no—
1286C22×C4—121no—
1287C22×C4—121no—
1288C22×C4—121no—
1289C22×C4—121no—
1290C22×C4—121no—
1291C22×C4—121no—
1292C22×C4—121no—
1293C22×C4—121no—
1294C22×C4—121no—
1295C22×C4—121no—
1296C22×C4—121no—
1297C22×C4—121no—
1298C22×C4—121no—
1299C22×C4—121no—
1300C22×C4—1216no—
1301C22×C4—121no—
1302C22×C4—121no—
1303C22×C4—121no—
1304C22×C4—121no—
1305C22×C4C23×D311yescharacteristic
1306C22×C4C23×D311yescharacteristic
1307C22×C4C23×D311yescharacteristic
1308C22×C4C23×D311yescharacteristic
1309C22×C4C23×D311yescharacteristic
1310C22×C4C23×D311yescharacteristic
1311C22×C4C23×D311yescharacteristic
1312C22×C4C23×D311yescharacteristic
1313C22×C4C23×D311yescharacteristic
1314C22×C4C23×D311yescharacteristic
1315C22×C4C23×D311yescharacteristic
1316C22×C4C23×D311yescharacteristic
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—121no—
1324C4⋊C4—121no—
1325C4⋊C4—121no—
1326C4⋊C4—121no—
1327C4⋊C4—121no—
1328C4⋊C4—121no—
1329C4⋊C4—121no—
1330C4⋊C4—121no—
1331C4⋊C4—121no—
1332C4⋊C4—121no—
1333C22⋊C4—22no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—62no—
1355C22⋊C4—62no—
1356C22⋊C4—62no—
1357C22⋊C4—62no—
1358C22⋊C4—62no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C22⋊C4—121no—
1372C22⋊C4—121no—
1373C22⋊C4—121no—
1374C22⋊C4—121no—
1375C22⋊C4—121no—
1376C22⋊C4—121no—
1377C22⋊C4—121no—
1378C22⋊C4—121no—
1379C22⋊C4—121no—
1380C22⋊C4—121no—
1381C22⋊C4—121no—
1382C22⋊C4—121no—
1383C22⋊C4—121no—
1384C22⋊C4—121no—
1385C22⋊C4—121no—
1386C22⋊C4—121no—
1387C22⋊C4—121no—
1388C22⋊C4—121no—
1389C22⋊C4—121no—
1390C22⋊C4—121no—
1391C22⋊C4—121no—
1392C22⋊C4—121no—
1393C42—41no—
1394C42—121no—
1395C42—121no—
1396C22×C3—22no—
1397C22×C3—22no—
1398C22×C3—22no—
1399C22×C3—22no—
1400C22×C3—22no—
1401C22×C3—22no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3—41no—
1407C22×C3—41no—
1408C22×C3—41no—
1409C22×C3—41no—
1410C22×C3—41no—
1411C22×C3—41no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3C22×#4111yescharacteristic
1418C22×C3C2×H(5,𝔽2)11yescharacteristic
1419C22×C3C2×H(5,𝔽2)11yescharacteristic
1420C22×C3C2×H(5,𝔽2)11yescharacteristic
1421C22×C3C2×H(5,𝔽2)11yescharacteristic
1422C22×C3C2×H(5,𝔽2)11yescharacteristic
1423C22×C3#58511yescharacteristic
1424C2×D3—22no—
1425C2×D3—22no—
1426C2×D3—22no—
1427C2×D3—22no—
1428C2×D3—22no—
1429C2×D3—22no—
1430C2×D3—22no—
1431C2×D3—22no—
1432C2×D3—22no—
1433C2×D3—22no—
1434C2×D3—22no—
1435C2×D3—22no—
1436C2×D3—416no—
1437C2×D3—41no—
1438C2×D3—41no—
1439C2×D3—41no—
1440C2×D3—41no—
1441C2×D3—41no—
1442C2×D3—41no—
1443C2×D3—41no—
1444C2×D3—41no—
1445C2×D3—41no—
1446C2×D3—41no—
1447C2×D3—41no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C2×D3—41no—
1453C2×D3—41no—
1454C2×D3—41no—
1455C2×D3—41no—
1456C2×D3—41no—
1457C2×D3—41no—
1458C2×D3—41no—
1459C2×D3—88no—
1460C2×D3—88no—
1461C2×D3#53814yes—
1462C3×C4—41no—
1463C3×C4—41no—
1464C3×C4—41no—
1465C3×C4—41no—
1466C3×C4—41no—
1467C3×C4—41no—
1468C3×C4—41no—
1469C3×C4—41no—
1470C3×C4—41no—
1471C3×C4—41no—
1472C3×C4—41no—
1473C3×C4—41no—
1474Dic3—22no—
1475Dic3—41no—
1476Dic3—41no—
1477Dic3—41no—
1478Dic3—41no—
1479Dic3—41no—
1480Dic3—41no—
1481Dic3—41no—
1482Dic3—41no—
1483Dic3—41no—
1484Dic3—41no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—32no—
1505C23—32no—
1506C23—32no—
1507C23—32no—
1508C23—32no—
1509C23—68no—
1510C23—68no—
1511C23—61no—
1512C23—61no—
1513C23—61no—
1514C23—61no—
1515C23—61no—
1516C23—61no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23—61no—
1521C23—61no—
1522C23—61no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—61no—
1534C23—61no—
1535C23—61no—
1536C23—61no—
1537C23—61no—
1538C23—61no—
1539C23—61no—
1540C23—61no—
1541C23—124no—
1542C23—124no—
1543C23—124no—
1544C23—124no—
1545C23—124no—
1546C23—124no—
1547C23—124no—
1548C23—124no—
1549C23—124no—
1550C23—242no—
1551C23—242no—
1552C23—242no—
1553C23—242no—
1554C23—242no—
1555C23—242no—
1556C23—242no—
1557C23—242no—
1558C23—242no—
1559C23—242no—
1560C23D3×#4112yes—
1561C23#100912yes—
1562C23C24×D311yescharacteristic
1563Q8—242no—
1564D4—44no—
1565D4—44no—
1566D4—82no—
1567D4—124no—
1568D4—124no—
1569D4—124no—
1570D4—124no—
1571D4—124no—
1572D4—124no—
1573D4—124no—
1574D4—242no—
1575D4—242no—
1576D4—242no—
1577D4—242no—
1578D4—242no—
1579D4—242no—
1580D4—242no—
1581D4—242no—
1582D4—242no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—32no—
1620C2×C4—44no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—82no—
1654C2×C4—124no—
1655C2×C4—124no—
1656C2×C4—124no—
1657C2×C4—124no—
1658C2×C4—124no—
1659C2×C4—124no—
1660C2×C4—124no—
1661C2×C4—242no—
1662C2×C4—242no—
1663C2×C4—242no—
1664C2×C4—242no—
1665C2×C3—42no—
1666C2×C3—42no—
1667C2×C3—81no—
1668C2×C3C2×#53811yescharacteristic
1669C2×C3#349011yescharacteristic
1670C2×C3#350511yescharacteristic
1671C2×C3#353211yescharacteristic
1672C2×C3#353411yescharacteristic
1673C2×C3#353411yescharacteristic
1674C2×C3#353711yescharacteristic
1675D3—24no—
1676D3—42no—
1677D3—42no—
1678D3—81no—
1679D3—81no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—34no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—62no—
1703C22—62no—
1704C22—62no—
1705C22—62no—
1706C22—62no—
1707C22—62no—
1708C22—62no—
1709C22—62no—
1710C22—62no—
1711C22—62no—
1712C22—62no—
1713C22—62no—
1714C22—1216no—
1715C22—121no—
1716C22—121no—
1717C22—121no—
1718C22—121no—
1719C22—121no—
1720C22—121no—
1721C22—121no—
1722C22—121no—
1723C22—121no—
1724C22—121no—
1725C22—121no—
1726C22—121no—
1727C22—121no—
1728C22—121no—
1729C22—121no—
1730C22—121no—
1731C22—121no—
1732C22—121no—
1733C22—121no—
1734C22—121no—
1735C22—121no—
1736C22—121no—
1737C22—248no—
1738C22—248no—
1739C22C2×D3×#4111yescharacteristic
1740C22C2×#100911yescharacteristic
1741C22#596411yescharacteristic
1742C22D3×H(5,𝔽2)11yescharacteristic
1743C22D3×H(5,𝔽2)11yescharacteristic
1744C22D3×H(5,𝔽2)11yescharacteristic
1745C22D3×H(5,𝔽2)11yescharacteristic
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—62no—
1759C4—121no—
1760C4—121no—
1761C4—121no—
1762C4—121no—
1763C4—121no—
1764C4—121no—
1765C4—121no—
1766C4—121no—
1767C4—121no—
1768C4—121no—
1769C3#3677611yescharacteristic, complemented, Sylow
1770C2—42no—
1771C2—42no—
1772C2—64no—
1773C2—81no—
1774C2—122no—
1775C2—122no—
1776C2—241no—
1777C2—241no—
1778C2D3×#53811yescharacteristic
1779C2#8641811yescharacteristic
1780C2#8649011yescharacteristic
1781C2#8680111yescharacteristic
1782C2#8681511yescharacteristic
1783C2#8691211yescharacteristic
1784C2#8707111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2749C2
hypercenter#2749D3
hypocenterC3#36776
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2749

Complements

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

NH ≅ G/Ntype
1. C3×#2749C2semidirect
2. #78393C2semidirect
3. #78361C2semidirect
4. #77691C2semidirect
5. #77689C2semidirect
6. #77688C2semidirect
7. #77675C2semidirect
8. #77416C2semidirect
9. #77375C2semidirect
10. #77108C2semidirect
11. #77064C2semidirect
12. #76753C2semidirect
13. #76717C2semidirect
14. #76463C2semidirect
15. #76330C2semidirect
16. #75826C2semidirect
17. #75770C2semidirect
18. #74935C2semidirect
19. #74924C2semidirect
20. #74916C2semidirect
21. #74888C2semidirect
22. #74874C2semidirect
23. D3×#386C2semidirect
24. #74814C2semidirect
25. #74809C2semidirect
26. #74634C2semidirect
27. #74607C2semidirect
28. #74313C2semidirect
29. #74301C2semidirect
30. #74146C2semidirect
31. #74143C2semidirect
35. C23×C4×D3C22semidirect
36. C2×#939C22semidirect
37. C2×#939C22semidirect
40. C2×#930C22semidirect
41. C2×#929C22semidirect
43. C2×#924C22semidirect
44. C2×#896C22semidirect
46. C2×#895C22semidirect
47. C2×#893C22semidirect
48. C2×#886C22semidirect
49. C2×#885C22semidirect
51. C2×#884C22semidirect
55. C2×#882C22semidirect
56. C2×#882C22semidirect
59. C2×D3×C22⋊C4C22semidirect
60. C3×#400C22semidirect
61. C3×#397C22semidirect
62. C3×#397C22semidirect
63. C3×#396C22semidirect
64. C3×#394C22semidirect
66. C3×#390C22semidirect
67. C3×#388C22semidirect
68. C3×#386C22semidirect
69. C3×#386C22semidirect
70. C3×#386C22semidirect
71. C3×#386C22semidirect
72. C3×#385C22semidirect
73. C3×#383C22semidirect
74. C3×#381C22semidirect
77. #5223C22semidirect
78. #5222C22semidirect
79. #5220C22semidirect
80. #5220C22semidirect
82. #5213C22semidirect
83. #5213C22semidirect
84. #4994C22semidirect
85. #4993C22semidirect
86. #4992C22semidirect
87. #4991C22semidirect
88. #4991C22semidirect
89. #4990C22semidirect
90. #4990C22semidirect
91. #4989C22semidirect
92. #4989C22semidirect
93. #4986C22semidirect
94. #4985C22semidirect
95. #4985C22semidirect
97. #4961C22semidirect
100. #4960C22semidirect
101. #4960C22semidirect
102. #4959C22semidirect
103. #4959C22semidirect
105. #4958C22semidirect
106. #4958C22semidirect
107. #4957C22semidirect
108. #4957C22semidirect
114. #4956C22semidirect
115. #4956C22semidirect
116. #4956C22semidirect
117. #4956C22semidirect
118. #4956C22semidirect
119. #4956C22semidirect
121. #4955C22semidirect
122. #4955C22semidirect
123. #4955C22semidirect
124. #4955C22semidirect
125. #4953C22semidirect
126. #4952C22semidirect
127. #4951C22semidirect
128. #4948C22semidirect
129. #4947C22semidirect
130. #4946C22semidirect
131. #4944C22semidirect
132. #4944C22semidirect
133. #4943C22semidirect
134. #4942C22semidirect
135. #4942C22semidirect
136. #4940C22semidirect
137. #4940C22semidirect
138. #4939C22semidirect
139. C4×(C2×D3)⋊C4C22semidirect
140. #4676C22semidirect
141. #4675C22semidirect
142. #4675C22semidirect
143. #4675C22semidirect
144. #4675C22semidirect
145. #4674C22semidirect
146. #4673C22semidirect
147. #4673C22semidirect
148. #4673C22semidirect
150. #4672C22semidirect
151. #4672C22semidirect
153. #4669C22semidirect
154. #4669C22semidirect
155. #4668C22semidirect
156. #4668C22semidirect
157. #4668C22semidirect
158. #4668C22semidirect
159. #4668C22semidirect
160. #4667C22semidirect
161. #4667C22semidirect
169. #4665C22semidirect
170. #4665C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4664C22semidirect
177. #4664C22semidirect
178. #4664C22semidirect
179. D3×#95C22semidirect
180. D3×#95C22semidirect
181. C3⋊#401C22semidirect
182. C3⋊#401C22semidirect
183. #4660C22semidirect
184. #4658C22semidirect
185. #4658C22semidirect
186. #4655C22semidirect
187. #4653C22semidirect
195. #2749D3semidirect
442. #400C2×D3semidirect
452. #397C2×D3semidirect
453. #397C2×D3semidirect
457. #396C2×D3semidirect
468. #394C2×D3semidirect
485. #390C2×D3semidirect
495. #388C2×D3semidirect
531. #386C2×D3semidirect
532. #386C2×D3semidirect
533. #386C2×D3semidirect
534. #386C2×D3semidirect
543. #385C2×D3semidirect
544. #383C2×D3semidirect
549. #381C2×D3semidirect
1769. C3#36776semidirect

Maximal subgroups

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

subgroupindex
C3×#27492
#783932
#783612
#776912
#776892
#776882
#776752
#774162
#773752
#771082
#770642
#767532
#767172
#764632
#763302
#758262
#757702
#749352
#749242
#749162
#748882
#748742
D3×#3862
#748142
#748092
#746342
#746072
#743132
#743012
#741462
#741432
#367763