Finite Group Databasebeta

← #11024347

Subgroups — #11024347

Order 768.

2482 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5828C211yesmaximal, characteristic, complemented
2C2×#5560C211yesmaximal, characteristic, complemented
3C3×#2339C211yesmaximal, characteristic, complemented
4#84091C211yesmaximal, characteristic, complemented
5#82395C211yesmaximal, characteristic, complemented
6#82355C211yesmaximal, characteristic, complemented
7#82354C211yesmaximal, characteristic, complemented
8#76650C211yesmaximal, characteristic, complemented
9#76648C211yesmaximal, characteristic, complemented
10#76647C211yesmaximal, characteristic, complemented
11#76646C211yesmaximal, characteristic, complemented
12#74925C211yesmaximal, characteristic, complemented
13#74923C211yesmaximal, characteristic, complemented
14#74920C211yesmaximal, characteristic, complemented
15#74906C211yesmaximal, characteristic, complemented
16#74905C211yesmaximal, characteristic, complemented
17#74810C211yesmaximal, characteristic, complemented
18#74739C211yesmaximal, characteristic, complemented
19#74696C211yesmaximal, characteristic, complemented
20#74146C211yesmaximal, characteristic, complemented
21#74068C211yesmaximal, characteristic, complemented
22#74067C211yesmaximal, characteristic, complemented
23#74066C211yesmaximal, characteristic, complemented
24#73907C211yesmaximal, characteristic, complemented
25#73904C211yesmaximal, characteristic, complemented
26#73592C211yesmaximal, characteristic, complemented
27#73590C211yesmaximal, characteristic, complemented
28#73377C211yesmaximal, characteristic, complemented
29#73375C211yesmaximal, characteristic, complemented
30C2×#4664C211yesmaximal, characteristic, complemented
31#73337C211yesmaximal, characteristic, complemented
32#37667—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×C4×D4C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37#5828—28no—
38C2×#946C2211yescharacteristic
39C2×#946C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#938C2211yescharacteristic
43C2×#938C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#937C2211yescharacteristic
46C2×#935C2211yescharacteristic
47C2×#935C2211yescharacteristic
48C2×#930C2211yescharacteristic
49C2×#929C2211yescharacteristic
50C2×#929C2211yescharacteristic
51C2×C4×#67C2211yescharacteristic
52C2×C4×#67C2211yescharacteristic
53C2×C4×#67C2211yescharacteristic
54C2×C4×#67C2211yescharacteristic
55C2×C4×#67C2211yescharacteristic
56C22×(C2×D3)⋊C4C2211yescharacteristic
57C22×(C2×D3)⋊C4C2211yescharacteristic
58C2×#926C2211yescharacteristic
59#5560—28no—
60C2×#898C2211yescharacteristic
61C2×#894C2211yescharacteristic
62C2×#886C2211yescharacteristic
63C2×#885C2211yescharacteristic
64C2×#884C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#878C2211yescharacteristic
67C2×#876C2211yescharacteristic
68C2×#875C2211yescharacteristic
69C3×#391C2211yescharacteristic, complemented
70C3×#391C2211yescharacteristic, complemented
71C3×#386C2211yescharacteristic
72C3×#386C2211yescharacteristic
73C3×#386C2211yescharacteristic, complemented
74C3×#386C2211yescharacteristic, complemented
75C3×#381C2211yescharacteristic
76C3×#381C2211yescharacteristic, complemented
77C3×#380C2211yescharacteristic, complemented
78C3×C4×C22⋊C4C2211yescharacteristic, complemented
79C2×C3×#95C2211yescharacteristic
80C2×C3×#95C2211yescharacteristic, complemented
81#5231C2211yescharacteristic, complemented
82#5230C2211yescharacteristic, complemented
83#5223C2211yescharacteristic, complemented
84#5222C2211yescharacteristic, complemented
85#5220C2211yescharacteristic
86#5220C2211yescharacteristic
87#5213C2211yescharacteristic
88#5213C2211yescharacteristic
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic, complemented
91#5213C2211yescharacteristic, complemented
92#5213C2211yescharacteristic, complemented
93#5212C2211yescharacteristic, complemented
94#5211C2211yescharacteristic, complemented
95#5210C2211yescharacteristic
96#5210C2211yescharacteristic, complemented
97#5210C2211yescharacteristic, complemented
98#5210C2211yescharacteristic, complemented
99C4×#217C2211yescharacteristic
100C2×C3⋊#95C2211yescharacteristic
101C2×C3⋊#95C2211yescharacteristic
102C2×C3⋊#95C2211yescharacteristic
103#4994C2211yescharacteristic, complemented
104#4990C2211yescharacteristic
105#4990C2211yescharacteristic
106#4985C2211yescharacteristic, complemented
107#4983C2211yescharacteristic, complemented
108#4981C2211yescharacteristic, complemented
109#4961C2211yescharacteristic
110#4961C2211yescharacteristic
111#4961C2211yescharacteristic, complemented
112#4960C2211yescharacteristic
113#4960C2211yescharacteristic
114#4959C2211yescharacteristic
115#4959C2211yescharacteristic
116#4959C2211yescharacteristic
117#4959C2211yescharacteristic
118#4959C2211yescharacteristic, complemented
119#4957C2211yescharacteristic
120#4957C2211yescharacteristic
121#4956C2211yescharacteristic, complemented
122#4955C2211yescharacteristic
123#4953C2211yescharacteristic, complemented
124#4952C2211yescharacteristic, complemented
125#4952C2211yescharacteristic, complemented
126#4952C2211yescharacteristic, complemented
127#4951C2211yescharacteristic, complemented
128#4951C2211yescharacteristic, complemented
129#4950C2211yescharacteristic
130#4948C2211yescharacteristic, complemented
131#4947C2211yescharacteristic, complemented
132#4946C2211yescharacteristic
133#4944C2211yescharacteristic, complemented
134#4943C2211yescharacteristic
135#4942C2211yescharacteristic
136#4940C2211yescharacteristic
137#4940C2211yescharacteristic
138#4940C2211yescharacteristic, complemented
139#4933C2211yescharacteristic, complemented
140#4933C2211yescharacteristic, complemented
141#4928C2211yescharacteristic, complemented
142#4675C2211yescharacteristic
143#4675C2211yescharacteristic
144#4675C2211yescharacteristic
145#4675C2211yescharacteristic
146#4675C2211yescharacteristic, complemented
147#4674C2211yescharacteristic
148#4674C2211yescharacteristic
149#4672C2211yescharacteristic
150#4672C2211yescharacteristic
151#4670C2211yescharacteristic, complemented
152#4669C2211yescharacteristic, complemented
153#4668C2211yescharacteristic
154#4668C2211yescharacteristic
155#4668C2211yescharacteristic
156#4668C2211yescharacteristic
157#4668C2211yescharacteristic, complemented
158#4667C2211yescharacteristic, complemented
159#4666C2211yescharacteristic, complemented
160#4665C2211yescharacteristic
161#4665C2211yescharacteristic
162#4665C2211yescharacteristic
163#4665C2211yescharacteristic
164#4664C2211yescharacteristic
165#4664C2211yescharacteristic
166#4664C2211yescharacteristic
167#4664C2211yescharacteristic
168#4664C2211yescharacteristic
169#4664C2211yescharacteristic
170#4664C2211yescharacteristic
171#4664C2211yescharacteristic
172#4661C2211yescharacteristic, complemented
173#4660C2211yescharacteristic, complemented
174#4660C2211yescharacteristic, complemented
175#4658C2211yescharacteristic, complemented
176#4657C2211yescharacteristic, complemented
177#4657C2211yescharacteristic, complemented
178#4656C2211yescharacteristic, complemented
179#4655C2211yescharacteristic, complemented
180#4655C2211yescharacteristic, complemented
181#4654C2211yescharacteristic, complemented
182#4652C2211yescharacteristic, complemented
183#4650C2211yescharacteristic, complemented
184#4649C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#525—31no—
192#2849—31no—
193#2701—31no—
194#2700—31no—
195#2699—31no—
196#2698—31no—
197#2689—31no—
198#2688—31no—
199#2687—31no—
200#2686—31no—
201#2622—31no—
202#2617—31no—
203#2488—31no—
204#2468—31no—
205#2466—31no—
206#2459—31no—
207#2457—31no—
208#2447—31no—
209#2444—31no—
210#2438—31no—
211#2430—31no—
212#2425—31no—
213#2425—31no—
214#2420—31no—
215#2419—31no—
216#2419—31no—
217#2359—31no—
218#2339D311yescharacteristic, complemented
219#2321—31no—
220C2×#381—31no—
221C24×D3C2311yescharacteristic
222C2×C3×#41—24no—
223C2×C3×#41—24no—
224C2×C3×#41—42no—
225C22×C3×Q8C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×C4×D3—24no—
249C22×C4×D3—24no—
250C22×C4×D3—42no—
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C3×C4×D4—24no—
258C3×C4×D4—42no—
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284#946—24no—
285#946—24no—
286#939—24no—
287#939—42no—
288#938—24no—
289#938—24no—
290#937—24no—
291#937D418yescomplemented
292#935—24no—
293#935—24no—
294#930—24no—
295#929—24no—
296#929—24no—
297C4×#67—24no—
298C4×#67—24no—
299C4×#67—24no—
300C4×#67—24no—
301C4×#67—24no—
302C2×(C2×D3)⋊C4—24no—
303C2×(C2×D3)⋊C4—42no—
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
331#926—24no—
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361#898—24no—
362#894—24no—
363#886—42no—
364#885—24no—
365#884—24no—
366#882—24no—
367#878—24no—
368#876—24no—
369#875—24no—
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
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C22×#41C2×D311yescharacteristic
415C24×C4—31no—
416#538—68no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#124—31no—
420C2×#124—31no—
421#525—68no—
422C2×#123—31no—
423C2×#123—31no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×C22⋊Q8—31no—
429C2×C22⋊Q8—31no—
430C2×C22⋊Q8—31no—
431C2×#121—31no—
432C2×#121—31no—
433C2×#121—31no—
434C2×#121—31no—
435C2×#121—31no—
436C2×#121—31no—
437C2×#120—31no—
438C2×#120—31no—
439C2×#120—31no—
440C2×C4×D4—31no—
441C2×C4×D4—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4C2×D311yescharacteristic
446C2×C4×D4C2×D311yescharacteristic
447C2×#117—31no—
448C22×C22⋊C4—31no—
449C22×C22⋊C4—31no—
450#400—31no—
451#400—31no—
452#400—31no—
453#400—31no—
454#398—31no—
455#398—31no—
456#398—31no—
457#398—31no—
458#398—31no—
459#397—31no—
460#397—31no—
461#397—31no—
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#396—31no—
471#396—31no—
472#395—31no—
473#395—31no—
474#394—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#393—31no—
486#393—31no—
487#392—31no—
488#392—31no—
489#392—31no—
490#391—31no—
491#391—31no—
492#391C2×D311yescharacteristic, complemented
493#391C2×D311yescharacteristic, complemented
494#390—31no—
495#390—31no—
496#389—31no—
497#389—31no—
498#389—31no—
499#389—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#387—31no—
511#387—31no—
512#387—31no—
513#387—31no—
514#387—31no—
515#387—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#386C2×D311yescharacteristic
530#386C2×D311yescharacteristic
531#386C2×D311yescharacteristic, complemented
532#386C2×D311yescharacteristic, complemented
533#385—31no—
534#385—31no—
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#385—31no—
544#382—31no—
545#381—31no—
546#381—31no—
547#381—31no—
548#381—31no—
549#381—31no—
550#381—31no—
551#381—31no—
552#381—31no—
553#381—31no—
554#381—31no—
555#381C2×D311yescharacteristic
556#381C2×D311yescharacteristic, complemented
557#380—31no—
558#380—31no—
559#380—31no—
560#380C2×D311yescharacteristic, complemented
561#379—31no—
562C4×C4⋊C4—31no—
563C4×C22⋊C4—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4C2×D311yescharacteristic, complemented
566C2×#95—31no—
567C2×#95—31no—
568C2×#95—31no—
569C2×#95C2×D311yescharacteristic
570C2×#95C2×D311yescharacteristic, complemented
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C24×C3C2411yescharacteristic
574C23×D3—22no—
575C23×D3—22no—
576C23×D3—41no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3C2×D414yes—
581C23×D3C2411yescharacteristic
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C3×#41—416no—
585C2×C3×Q8—22no—
586C2×C3×Q8—22no—
587C2×C3×Q8—41no—
588C2×C3×D4—22no—
589C2×C3×D4—22no—
590C2×C3×D4—22no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—41no—
596C2×C3×D4C2×D414yes—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4—41no—
614C22×C3×C4—41no—
615C22×C3×C4—41no—
616C22×C3×C4—41no—
617C22×C3×C4#4114yes—
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
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—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67C2×D414yes—
650C2×#67C2×D414yes—
651C22×Dic3—22no—
652C22×Dic3—22no—
653C22×Dic3—22no—
654C22×Dic3—22no—
655C22×Dic3—22no—
656C22×Dic3—41no—
657C22×Dic3—41no—
658C22×Dic3—41no—
659C22×Dic3—41no—
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—41no—
676C2×D12—41no—
677C2×D12—41no—
678C2×D12—41no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3—416no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×Dic6—22no—
696C2×Dic6—41no—
697C2×Dic6—41no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—41no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—41no—
704C3×C22⋊C4—41no—
705C3×C22⋊C4—41no—
706C3×C22⋊C4—41no—
707C3×C22⋊C4—41no—
708C3×C42—22no—
709C3×C42—41no—
710#217—22no—
711#217—22no—
712#217—22no—
713#217—22no—
714#217—22no—
715#217—22no—
716#217—22no—
717#217—41no—
718#217—41no—
719#217—41no—
720#217—41no—
721#217—41no—
722#217C2×D414yes—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
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—41no—
736(C2×D3)⋊C4—41no—
737(C2×D3)⋊C4—41no—
738(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
749(C2×D3)⋊C4C2×D414yes—
750C4⋊Dic3—22no—
751C4⋊Dic3—22no—
752C4⋊Dic3—22no—
753C4⋊Dic3—41no—
754C4⋊Dic3—41no—
755C4⋊Dic3—41no—
756C4⋊Dic3—41no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4—41no—
773Dic3⋊C4—41no—
774C4×Dic3—22no—
775C4×Dic3—22no—
776C4×Dic3—22no—
777C4×Dic3—41no—
778C4×Dic3—41no—
779C25—31no—
780C2×#41—24no—
781C2×#41—24no—
782C2×#41—42no—
783C22×Q8—31no—
784C22×Q8C22×D311yescharacteristic
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4—31no—
791C22×D4—31no—
792C22×D4—31no—
793C22×D4—31no—
794C22×D4C22×D311yescharacteristic
795C22×D4C22×D311yescharacteristic
796C22×D4C22×D311yescharacteristic
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—64no—
806C23×C4—64no—
807C23×C4—122no—
808C23×C4C22×D311yescharacteristic
809C23×C4C22×D311yescharacteristic
810C23×C4C22×D311yescharacteristic
811C23×C4C22×D311yescharacteristic
812C23×C4C22×D311yescharacteristic
813C23×C4C22×D311yescharacteristic
814C23×C4C22×D311yescharacteristic
815#126—64no—
816#126—64no—
817#124—64no—
818#124—64no—
819#123—64no—
820#123—64no—
821#123—64no—
822#123—64no—
823#123—64no—
824#123—122no—
825C22⋊Q8—64no—
826C22⋊Q8—64no—
827C22⋊Q8—64no—
828#121—64no—
829#121—64no—
830#121—64no—
831#121—64no—
832#121—64no—
833#121—122no—
834#120—38no—
835#120—64no—
836#120—64no—
837C4×D4—24no—
838C4×D4—42no—
839C4×D4—64no—
840C4×D4—64no—
841C4×D4—64no—
842C4×D4—64no—
843C4×D4—64no—
844#117—64no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
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—64no—
912C2×C22⋊C4—122no—
913C2×C22⋊C4C22×D311yescharacteristic
914C2×C22⋊C4C22×D311yescharacteristic
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C42—31no—
922C2×C42—31no—
923C2×C42—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42C22×D311yescharacteristic
927C2×C42C22×D311yescharacteristic
928#95—31no—
929#95—31no—
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
934#95—31no—
935#95—31no—
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
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#95C22×D311yescharacteristic
961#95C22×D311yescharacteristic
962#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3C22×D412yes—
990C23×C3C22×D412yes—
991C23×C3C2×#4112yes—
992C23×C3H(5,𝔽2)12yes—
993C23×C3C2511yescharacteristic
994C22×D3—28no—
995C22×D3—21no—
996C22×D3—21no—
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—44no—
1015C22×D3—44no—
1016C22×D3—44no—
1017C22×D3—44no—
1018C22×D3—44no—
1019C22×D3—44no—
1020C22×D3C22×D412yes—
1021C22×D3C22×D412yes—
1022C3×Q8—44no—
1023C3×D4—28no—
1024C3×D4—44no—
1025C3×D4—44no—
1026C2×C3×C4—28no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
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—44no—
1061C2×C3×C4—44no—
1062C2×C3×C4—82no—
1063C2×C3×C4—82no—
1064C2×C3×C4—82no—
1065C2×C3×C4—82no—
1066C2×C3×C4C22×D412yes—
1067C2×C3×C4C2×#4112yes—
1068C2×C3×C4C2×#4112yes—
1069#67—44no—
1070#67—44no—
1071#67—44no—
1072#67—44no—
1073#67—44no—
1074#67—82no—
1075#67—82no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
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—44no—
1114C2×Dic3—82no—
1115C2×Dic3—82no—
1116C2×Dic3C22×D412yes—
1117C2×Dic3C22×D412yes—
1118D12—82no—
1119D12—82no—
1120C4×D3—44no—
1121C4×D3—44no—
1122C4×D3—44no—
1123C4×D3—44no—
1124C4×D3—82no—
1125Dic6—82no—
1126C24—31no—
1127C24—31no—
1128C24—34no—
1129C24—31no—
1130C24—62no—
1131C24—62no—
1132C24—121no—
1133C24—121no—
1134C24—121no—
1135C24—121no—
1136C24C23×D311yescharacteristic
1137C24C23×D311yescharacteristic
1138C24C23×D311yescharacteristic
1139#41—416no—
1140C2×Q8—22no—
1141C2×Q8—22no—
1142C2×Q8—41no—
1143C2×Q8—62no—
1144C2×Q8—121no—
1145C2×Q8—121no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—34no—
1154C2×D4—34no—
1155C2×D4—41no—
1156C2×D4—62no—
1157C2×D4—62no—
1158C2×D4—62no—
1159C2×D4—62no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—121no—
1165C2×D4—121no—
1166C2×D4—121no—
1167C2×D4—121no—
1168C2×D4—121no—
1169C2×D4—121no—
1170C2×D4—121no—
1171C2×D4—121no—
1172C2×D4—121no—
1173C2×D4—121no—
1174C2×D4—121no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C2×D4—121no—
1178C2×D4—121no—
1179C2×D4—121no—
1180C2×D4—121no—
1181C2×D4D3×D414yes—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
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—1216no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4#23514yes—
1241C22×C4C23×D311yescharacteristic
1242C22×C4C23×D311yescharacteristic
1243C22×C4C23×D311yescharacteristic
1244C22×C4C23×D311yescharacteristic
1245C22×C4C23×D311yescharacteristic
1246C22×C4C23×D311yescharacteristic
1247C22×C4C23×D311yescharacteristic
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C4⋊C4—22no—
1254C4⋊C4—41no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—121no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4—121no—
1277C4⋊C4—121no—
1278C4⋊C4—121no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—34no—
1283C22⋊C4—34no—
1284C22⋊C4—34no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
1295C22⋊C4—62no—
1296C22⋊C4—62no—
1297C22⋊C4—62no—
1298C22⋊C4—62no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C22⋊C4—121no—
1312C22⋊C4—121no—
1313C22⋊C4—121no—
1314C22⋊C4—121no—
1315C22⋊C4—121no—
1316C22⋊C4—121no—
1317C22⋊C4—121no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C42—22no—
1328C42—41no—
1329C42—62no—
1330C42—62no—
1331C42—62no—
1332C42—121no—
1333C42—121no—
1334C22×C3—22no—
1335C22×C3—22no—
1336C22×C3—22no—
1337C22×C3—22no—
1338C22×C3—22no—
1339C22×C3—22no—
1340C22×C3—22no—
1341C22×C3—22no—
1342C22×C3—22no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3—41no—
1348C22×C3—41no—
1349C22×C3—41no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×C3—41no—
1353C22×C3—41no—
1354C22×C3#54614yes—
1355C22×C3C23×D411yescharacteristic
1356C22×C3C22×#4111yescharacteristic
1357C22×C3C2×H(5,𝔽2)11yescharacteristic
1358C22×C3#58511yescharacteristic
1359C22×C3#58511yescharacteristic
1360C22×C3#58511yescharacteristic
1361C22×C3#58511yescharacteristic
1362C2×D3—22no—
1363C2×D3—22no—
1364C2×D3—22no—
1365C2×D3—22no—
1366C2×D3—22no—
1367C2×D3—22no—
1368C2×D3—416no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—41no—
1374C2×D3—41no—
1375C2×D3—41no—
1376C2×D3—41no—
1377C2×D3—41no—
1378C2×D3—41no—
1379C2×D3—41no—
1380C2×D3—41no—
1381C2×D3—41no—
1382C2×D3—41no—
1383C2×D3—41no—
1384C3×C4—22no—
1385C3×C4—22no—
1386C3×C4—22no—
1387C3×C4—41no—
1388C3×C4—41no—
1389C3×C4—41no—
1390C3×C4—41no—
1391C3×C4—41no—
1392C3×C4—41no—
1393C3×C4—41no—
1394C3×C4—41no—
1395C3×C4—41no—
1396Dic3—22no—
1397Dic3—22no—
1398Dic3—41no—
1399Dic3—41no—
1400Dic3—41no—
1401Dic3—41no—
1402Dic3—41no—
1403Dic3—41no—
1404Dic3—41no—
1405Dic3—41no—
1406Dic3—41no—
1407Dic3—41no—
1408Dic3—41no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—32no—
1427C23—32no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—61no—
1440C23—68no—
1441C23—61no—
1442C23—61no—
1443C23—61no—
1444C23—61no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—124no—
1449C23—124no—
1450C23—124no—
1451C23—124no—
1452C23—124no—
1453C23—124no—
1454C23C2×#23512yes—
1455C23C2×D3×D412yes—
1456C23C2×D3×D412yes—
1457C23#100412yes—
1458C23C24×D311yescharacteristic
1459Q8—44no—
1460Q8—242no—
1461D4—28no—
1462D4—44no—
1463D4—44no—
1464D4—124no—
1465D4—124no—
1466D4—124no—
1467D4—124no—
1468D4—124no—
1469D4—242no—
1470D4—242no—
1471D4—242no—
1472D4—242no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—28no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
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—32no—
1508C2×C4—32no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
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—82no—
1549C2×C4—82no—
1550C2×C4—82no—
1551C2×C4—82no—
1552C2×C4—124no—
1553C2×C4—124no—
1554C2×C4—124no—
1555C2×C4—124no—
1556C2×C4—124no—
1557C2×C4—242no—
1558C2×C4—242no—
1559C2×C4—242no—
1560C2×C4C2×#23512yes—
1561C2×C4C2×#23512yes—
1562C2×C4C2×D3×D412yes—
1563C2×C3—24no—
1564C2×C3—42no—
1565C2×C3—81no—
1566C2×C3#345511yescharacteristic
1567C2×C3C2×#54611yescharacteristic
1568C2×C3#348511yescharacteristic
1569C2×C3#348511yescharacteristic
1570C2×C3#349311yescharacteristic
1571C2×C3#353311yescharacteristic
1572C2×C3#353311yescharacteristic
1573D3—42no—
1574D3—42no—
1575D3—81no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—62no—
1597C22—62no—
1598C22—62no—
1599C22—62no—
1600C22—62no—
1601C22—62no—
1602C22—1216no—
1603C22—121no—
1604C22—121no—
1605C22—121no—
1606C22—121no—
1607C22—121no—
1608C22—121no—
1609C22—121no—
1610C22—121no—
1611C22—121no—
1612C22—121no—
1613C22—121no—
1614C22—121no—
1615C22—121no—
1616C22—121no—
1617C22—121no—
1618C22#549014yes—
1619C22C22×#23511yescharacteristic
1620C22C22×D3×D411yescharacteristic
1621C22C2×#100411yescharacteristic
1622C22#596411yescharacteristic
1623C22#596411yescharacteristic
1624C22#596611yescharacteristic
1625C22#596811yescharacteristic
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—62no—
1639C4—62no—
1640C4—121no—
1641C4—121no—
1642C4—121no—
1643C4—121no—
1644C4—121no—
1645C4—121no—
1646C4—121no—
1647C4—121no—
1648C4—121no—
1649C4—121no—
1650C4—121no—
1651C3#3766711yescharacteristic, complemented, Sylow
1652C2—24no—
1653C2—42no—
1654C2—81no—
1655C2—122no—
1656C2—122no—
1657C2—241no—
1658C2C2×#549011yescharacteristic
1659C2#8583711yescharacteristic
1660C2#8588811yescharacteristic
1661C2#8666311yescharacteristic
1662C2#8666811yescharacteristic
1663C2#8670011yescharacteristic
1664C2#8670411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2339C2
hypercenter#2339D3
hypocenterC3#37667
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2339

Complements

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

NH ≅ G/Ntype
1. C2×#5828C2semidirect
2. C2×#5560C2semidirect
3. C3×#2339C2semidirect
4. #84091C2semidirect
5. #82395C2semidirect
6. #82355C2semidirect
7. #82354C2semidirect
8. #76650C2semidirect
9. #76648C2semidirect
10. #76647C2semidirect
11. #76646C2semidirect
12. #74925C2semidirect
13. #74923C2semidirect
14. #74920C2semidirect
15. #74906C2semidirect
16. #74905C2semidirect
17. #74810C2semidirect
18. #74739C2semidirect
19. #74696C2semidirect
20. #74146C2semidirect
21. #74068C2semidirect
22. #74067C2semidirect
23. #74066C2semidirect
24. #73907C2semidirect
25. #73904C2semidirect
26. #73592C2semidirect
27. #73590C2semidirect
28. #73377C2semidirect
29. #73375C2semidirect
30. C2×#4664C2semidirect
31. #73337C2semidirect
69. C3×#391C22semidirect
70. C3×#391C22semidirect
73. C3×#386C22semidirect
74. C3×#386C22semidirect
76. C3×#381C22semidirect
77. C3×#380C22semidirect
78. C3×C4×C22⋊C4C22semidirect
80. C2×C3×#95C22semidirect
81. #5231C22semidirect
82. #5230C22semidirect
83. #5223C22semidirect
84. #5222C22semidirect
90. #5213C22semidirect
91. #5213C22semidirect
92. #5213C22semidirect
93. #5212C22semidirect
94. #5211C22semidirect
96. #5210C22semidirect
97. #5210C22semidirect
98. #5210C22semidirect
103. #4994C22semidirect
106. #4985C22semidirect
107. #4983C22semidirect
108. #4981C22semidirect
111. #4961C22semidirect
118. #4959C22semidirect
121. #4956C22semidirect
123. #4953C22semidirect
124. #4952C22semidirect
125. #4952C22semidirect
126. #4952C22semidirect
127. #4951C22semidirect
128. #4951C22semidirect
130. #4948C22semidirect
131. #4947C22semidirect
133. #4944C22semidirect
138. #4940C22semidirect
139. #4933C22semidirect
140. #4933C22semidirect
141. #4928C22semidirect
146. #4675C22semidirect
151. #4670C22semidirect
152. #4669C22semidirect
157. #4668C22semidirect
158. #4667C22semidirect
159. #4666C22semidirect
172. #4661C22semidirect
173. #4660C22semidirect
174. #4660C22semidirect
175. #4658C22semidirect
176. #4657C22semidirect
177. #4657C22semidirect
178. #4656C22semidirect
179. #4655C22semidirect
180. #4655C22semidirect
181. #4654C22semidirect
182. #4652C22semidirect
183. #4650C22semidirect
184. #4649C22semidirect
185. #4647C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
218. #2339D3semidirect
291. #937D4semidirect
492. #391C2×D3semidirect
493. #391C2×D3semidirect
531. #386C2×D3semidirect
532. #386C2×D3semidirect
556. #381C2×D3semidirect
560. #380C2×D3semidirect
565. C4×C22⋊C4C2×D3semidirect
570. C2×#95C2×D3semidirect
1651. C3#37667semidirect

Maximal subgroups

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

subgroupindex
C2×#58282
C2×#55602
C3×#23392
#840912
#823952
#823552
#823542
#766502
#766482
#766472
#766462
#749252
#749232
#749202
#749062
#749052
#748102
#747392
#746962
#741462
#740682
#740672
#740662
#739072
#739042
#735922
#735902
#733772
#733752
C2×#46642
#733372
#376673