Finite Group Databasebeta

← #11025893

Subgroups — #11025893

Order 768.

2292 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5560C211yesmaximal, characteristic, complemented
2C2×#5479C211yesmaximal, characteristic, complemented
3C3×C4×#123C211yesmaximal, characteristic, complemented
4#82896C211yesmaximal, characteristic, complemented
5#82853C211yesmaximal, characteristic, complemented
6#82420C211yesmaximal, characteristic, complemented
7#82080C211yesmaximal, characteristic, complemented
8#75920C211yesmaximal, characteristic, complemented
9#75846C211yesmaximal, characteristic, complemented
10#75701C211yesmaximal, characteristic, complemented
11#75500C211yesmaximal, characteristic, complemented
12#75173C211yesmaximal, characteristic, complemented
13#75153C211yesmaximal, characteristic, complemented
14#75000C211yesmaximal, characteristic, complemented
15#74989C211yesmaximal, characteristic, complemented
16#74917C211yesmaximal, characteristic, complemented
17#74794C211yesmaximal, characteristic, complemented
18#74627C211yesmaximal, characteristic, complemented
19#74508C211yesmaximal, characteristic, complemented
20#74070C211yesmaximal, characteristic, complemented
21#74066C211yesmaximal, characteristic, complemented
22#73788C211yesmaximal, characteristic, complemented
23#73784C211yesmaximal, characteristic, complemented
24#73699C211yesmaximal, characteristic, complemented
25#73681C211yesmaximal, characteristic, complemented
26#73611C211yesmaximal, characteristic, complemented
27#73594C211yesmaximal, characteristic, complemented
28#73574C211yesmaximal, characteristic, complemented
29#73497C211yesmaximal, characteristic, complemented
30#73470C211yesmaximal, characteristic, complemented
31#73451C211yesmaximal, characteristic, complemented
32#37733—31nomaximal, Sylow
33C2×C3×#123C2211yescharacteristic
34C2×C3×C4×D4C2211yescharacteristic
35C22×C3×C42C2211yescharacteristic, complemented
36C2×#939C2211yescharacteristic
37C2×#937C2211yescharacteristic
38C2×#930C2211yescharacteristic
39C2×#930C2211yescharacteristic
40C2×#929C2211yescharacteristic
41C2×#929C2211yescharacteristic
42C2×#929C2211yescharacteristic, complemented
43C2×#929C2211yescharacteristic, complemented
44C2×C4×#67C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic, complemented
47C22×(C2×D3)⋊C4C2211yescharacteristic
48C2×#924C2211yescharacteristic, complemented
49#5560—28no—
50C2×#898C2211yescharacteristic
51C2×#895C2211yescharacteristic
52C2×#894C2211yescharacteristic
53C2×#888C2211yescharacteristic, complemented
54C2×#885C2211yescharacteristic
55C2×#884C2211yescharacteristic
56C2×#884C2211yescharacteristic
57C2×#882C2211yescharacteristic
58C2×#882C2211yescharacteristic
59C2×D3×C22⋊C4C2211yescharacteristic
60C2×#878C2211yescharacteristic
61C2×#878C2211yescharacteristic
62#5479—28no—
63C2×#876C2211yescharacteristic
64C2×#876C2211yescharacteristic
65C2×#876C2211yescharacteristic, complemented
66C2×#875C2211yescharacteristic
67C2×#875C2211yescharacteristic
68C2×C4×D12C2211yescharacteristic
69C2×#872C2211yescharacteristic
70C2×#872C2211yescharacteristic, complemented
71C2×#870C2211yescharacteristic, complemented
72C2×C4×Dic6C2211yescharacteristic, complemented
73C3×#388C2211yescharacteristic
74C3×#388C2211yescharacteristic
75C3×#387C2211yescharacteristic, complemented
76C3×#387C2211yescharacteristic, complemented
77C3×#386C2211yescharacteristic
78C3×#385C2211yescharacteristic, complemented
79C3×#381C2211yescharacteristic, complemented
80C3×C4×C4⋊C4C2211yescharacteristic, complemented
81C3×C4×C4⋊C4C2211yescharacteristic, complemented
82C3×C4×C22⋊C4C2211yescharacteristic
83C3×C4×C22⋊C4C2211yescharacteristic
84C3×C4×C22⋊C4C2211yescharacteristic, complemented
85#5223C2211yescharacteristic
86#5222C2211yescharacteristic
87#5213C2211yescharacteristic
88#5213C2211yescharacteristic
89#5213C2211yescharacteristic, complemented
90#5212C2211yescharacteristic, complemented
91#5210C2211yescharacteristic
92#4994C2211yescharacteristic
93#4994C2211yescharacteristic, complemented
94#4993C2211yescharacteristic
95#4993C2211yescharacteristic
96#4993C2211yescharacteristic, complemented
97#4991C2211yescharacteristic
98#4990C2211yescharacteristic
99#4990C2211yescharacteristic, complemented
100#4989C2211yescharacteristic
101#4989C2211yescharacteristic, complemented
102#4988C2211yescharacteristic, complemented
103#4987C2211yescharacteristic
104#4983C2211yescharacteristic, complemented
105#4982C2211yescharacteristic, complemented
106#4982C2211yescharacteristic, complemented
107#4979C2211yescharacteristic, complemented
108#4961C2211yescharacteristic
109#4961C2211yescharacteristic
110#4961C2211yescharacteristic
111#4961C2211yescharacteristic, complemented
112#4960C2211yescharacteristic
113#4960C2211yescharacteristic, complemented
114#4959C2211yescharacteristic
115#4959C2211yescharacteristic, complemented
116#4958C2211yescharacteristic
117#4957C2211yescharacteristic
118#4957C2211yescharacteristic
119#4957C2211yescharacteristic
120#4956C2211yescharacteristic
121#4955C2211yescharacteristic
122#4955C2211yescharacteristic
123#4952C2211yescharacteristic
124#4952C2211yescharacteristic, complemented
125#4951C2211yescharacteristic
126#4948C2211yescharacteristic
127#4948C2211yescharacteristic
128#4946C2211yescharacteristic
129#4945C2211yescharacteristic, complemented
130#4944C2211yescharacteristic, complemented
131Dic3×C22⋊C4C2211yescharacteristic
132#4940C2211yescharacteristic
133#4940C2211yescharacteristic
134#4940C2211yescharacteristic
135#4940C2211yescharacteristic
136#4940C2211yescharacteristic, complemented
137#4940C2211yescharacteristic, complemented
138#4940C2211yescharacteristic, complemented
139#4940C2211yescharacteristic, complemented
140#4939C2211yescharacteristic
141#4939C2211yescharacteristic
142#4939C2211yescharacteristic
143#4939C2211yescharacteristic, complemented
144C4×(C2×D3)⋊C4C2211yescharacteristic
145#4933C2211yescharacteristic, complemented
146#4933C2211yescharacteristic, complemented
147C4×Dic3⋊C4C2211yescharacteristic, complemented
148#4928C2211yescharacteristic, complemented
149#4928C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4675C2211yescharacteristic
152#4674C2211yescharacteristic
153#4674C2211yescharacteristic, complemented
154#4673C2211yescharacteristic
155#4673C2211yescharacteristic, complemented
156#4673C2211yescharacteristic, complemented
157#4672C2211yescharacteristic
158#4672C2211yescharacteristic
159#4672C2211yescharacteristic
160#4672C2211yescharacteristic
161#4672C2211yescharacteristic
162#4672C2211yescharacteristic
163#4671C2211yescharacteristic
164#4670C2211yescharacteristic
165#4670C2211yescharacteristic
166#4669C2211yescharacteristic
167#4669C2211yescharacteristic
168#4669C2211yescharacteristic
169#4668C2211yescharacteristic
170#4668C2211yescharacteristic, complemented
171#4667C2211yescharacteristic
172#4667C2211yescharacteristic, complemented
173#4666C2211yescharacteristic, complemented
174#4666C2211yescharacteristic, complemented
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic, complemented
178#4664C2211yescharacteristic
179#4661C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4655C2211yescharacteristic, complemented
182#4655C2211yescharacteristic, complemented
183#4652C2211yescharacteristic, complemented
184#4650C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#529—31no—
192#2854—31no—
193#2723—31no—
194#2722—31no—
195#2705—31no—
196#2685—31no—
197#2681—31no—
198#2678—31no—
199#2674—31no—
200#2671—31no—
201#2661—31no—
202#2630—31no—
203#2519—31no—
204#2491—31no—
205#2479—31no—
206#2474—31no—
207#2472—31no—
208#2466—31no—
209#2464—31no—
210#2460—31no—
211#2459—31no—
212#2458—31no—
213#2429—31no—
214#2424—31no—
215#2420—31no—
216#2418—31no—
217#2363—31no—
218#2342—31no—
219#2335—31no—
220C4×#123D311yescharacteristic, complemented
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×Dic6C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C3×#123—24no—
246C3×C4×D4—24no—
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C22⋊C4C2311yescharacteristic
253C2×C3×C22⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4C2311yescharacteristic
255C2×C3×C22⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C42—24no—
261C2×C3×C42C2311yescharacteristic
262C2×C3×C42C2311yescharacteristic
263C2×C3×C42C2311yescharacteristic
264C2×C3×C42C2311yescharacteristic
265C2×C3×C42C2311yescharacteristic
266C2×C3×C42C2311yescharacteristic
267C2×C3×C42C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276#939—24no—
277#937—24no—
278#930—24no—
279#930—24no—
280#929—24no—
281#929—42no—
282#929—42no—
283#929D418yescomplemented
284C4×#67—24no—
285C4×#67—24no—
286C4×#67—24no—
287C2×(C2×D3)⋊C4—24no—
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333#924—24no—
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360#898—24no—
361#895—42no—
362#894—24no—
363#888—42no—
364#885—24no—
365#884—24no—
366#884—24no—
367#882—24no—
368#882—42no—
369D3×C22⋊C4—24no—
370#878—24no—
371#878—42no—
372#876—24no—
373#876—24no—
374#876—24no—
375#875—24no—
376#875—24no—
377C4×D12—24no—
378#872—24no—
379#872—24no—
380#870—24no—
381C4×Dic6—24no—
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
414#538—68no—
415C2×C4⋊Q8—31no—
416#529—68no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#125—31no—
422C2×#124—31no—
423C2×#124—31no—
424C2×#124—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123C2×D311yescharacteristic
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×#121—31no—
435C2×#121—31no—
436C2×#121—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#120—31no—
441C2×#120—31no—
442C2×#120—31no—
443C2×C4×Q8—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4C2×D311yescharacteristic
449C2×#117—31no—
450C2×#117—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C42C2×D311yescharacteristic, complemented
454#399—31no—
455#399—31no—
456#399—31no—
457#398—31no—
458#398—31no—
459#398—31no—
460#398—31no—
461#398—31no—
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#396—31no—
468#396—31no—
469#396—31no—
470#396—31no—
471#396—31no—
472#395—31no—
473#394—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#394—31no—
486#394—31no—
487#393—31no—
488#393—31no—
489#393—31no—
490#392—31no—
491#392—31no—
492#392—31no—
493#392—31no—
494#391—31no—
495#390—31no—
496#390—31no—
497#390—31no—
498#390—31no—
499#390—31no—
500#390—31no—
501#390—31no—
502#390—31no—
503#389—31no—
504#389—31no—
505#389—31no—
506#389—31no—
507#389—31no—
508#389—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388C2×D311yescharacteristic
528#388C2×D311yescharacteristic
529#387—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#387C2×D311yescharacteristic, complemented
535#387C2×D311yescharacteristic, complemented
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386C2×D311yescharacteristic
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385C2×D311yescharacteristic, complemented
552#382—31no—
553#381—31no—
554#381C2×D311yescharacteristic, complemented
555#380—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#379—31no—
560#379—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4C2×D311yescharacteristic, complemented
563C4×C4⋊C4C2×D311yescharacteristic, complemented
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4C2×D311yescharacteristic
569C4×C22⋊C4C2×D311yescharacteristic
570C4×C22⋊C4C2×D311yescharacteristic, complemented
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C23×D3—22no—
574C23×D3—22no—
575C23×D3—41no—
576C23×D3—41no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3C2411yescharacteristic
581C23×D3C2411yescharacteristic
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C2×C3×D4—22no—
585C2×C3×D4—22no—
586C2×C3×D4—41no—
587C22×C3×C4—22no—
588C22×C3×C4—22no—
589C22×C3×C4—22no—
590C22×C3×C4—22no—
591C22×C3×C4—22no—
592C22×C3×C4—41no—
593C22×C3×C4—41no—
594C22×C3×C4—41no—
595C22×C3×C4—41no—
596C22×C3×C4—41no—
597C22×C3×C4—41no—
598C22×C3×C4C2×D414yes—
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—41no—
619C2×#67—41no—
620C2×#67—41no—
621C2×#67—41no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67C2×D414yes—
630C22×Dic3—22no—
631C22×Dic3—41no—
632C22×Dic3—41no—
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C2×D12—22no—
646C2×D12—22no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—41no—
651C2×D12—41no—
652C2×D12—41no—
653C2×D12—41no—
654C2×D12—41no—
655C2×D12—41no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12—41no—
659C2×D12—41no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×Dic6—22no—
673C2×Dic6—22no—
674C2×Dic6—22no—
675C2×Dic6—41no—
676C2×Dic6—41no—
677C2×Dic6—41no—
678C3×C4⋊C4—22no—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—41no—
683C3×C22⋊C4—22no—
684C3×C22⋊C4—22no—
685C3×C22⋊C4—22no—
686C3×C22⋊C4—22no—
687C3×C22⋊C4—22no—
688C3×C22⋊C4—41no—
689C3×C22⋊C4—41no—
690C3×C22⋊C4#4114yes—
691C3×C42—22no—
692C3×C42—22no—
693C3×C42—22no—
694C3×C42—22no—
695C3×C42—22no—
696C3×C42—41no—
697C3×C42—41no—
698#217—22no—
699#217—22no—
700#217—22no—
701#217—41no—
702#217—41no—
703#217—41no—
704#217—41no—
705#217C2×D414yes—
706(C2×D3)⋊C4—22no—
707(C2×D3)⋊C4—22no—
708(C2×D3)⋊C4—22no—
709(C2×D3)⋊C4—22no—
710(C2×D3)⋊C4—22no—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
728(C2×D3)⋊C4—41no—
729(C2×D3)⋊C4—41no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4—41no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
743(C2×D3)⋊C4C2×D414yes—
744C4⋊Dic3—22no—
745C4⋊Dic3—22no—
746C4⋊Dic3—22no—
747C4⋊Dic3—41no—
748C4⋊Dic3—41no—
749C4⋊Dic3—41no—
750C4⋊Dic3—41no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4C2×D414yes—
770Dic3⋊C4C2×D414yes—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C4×Dic3—41no—
777C25—31no—
778C22×Q8—31no—
779C22×Q8—31no—
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4—31no—
791C22×D4C22×D311yescharacteristic
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4C22×D311yescharacteristic
798C23×C4C22×D311yescharacteristic
799C23×C4C22×D311yescharacteristic
800C23×C4C22×D311yescharacteristic
801C4⋊Q8—122no—
802#126—64no—
803#126—64no—
804#126—64no—
805#126—64no—
806#125—64no—
807#124—64no—
808#124—64no—
809#124—64no—
810#123—24no—
811#123—38no—
812#123—64no—
813#123—64no—
814#123—122no—
815#123—122no—
816C22⋊Q8—64no—
817C22⋊Q8—64no—
818C22⋊Q8—122no—
819#121—64no—
820#121—64no—
821#121—64no—
822#121—64no—
823#121—64no—
824#121—122no—
825#120—64no—
826#120—64no—
827#120—122no—
828C4×Q8—64no—
829C4×D4—24no—
830C4×D4—64no—
831C4×D4—64no—
832C4×D4—64no—
833C4×D4—64no—
834#117—64no—
835#117—64no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
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—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—64no—
915C2×C22⋊C4—64no—
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C42—24no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42C22×D311yescharacteristic
932C2×C42C22×D311yescharacteristic
933C2×C42C22×D311yescharacteristic
934C2×C42C22×D311yescharacteristic
935C2×C42C22×D311yescharacteristic
936C2×C42C22×D311yescharacteristic
937C2×C42C22×D311yescharacteristic
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
970C23×C3—21no—
971C23×C3—21no—
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×C3C22×D412yes—
983C23×C3C2×#4112yes—
984C23×C3C2511yescharacteristic
985C22×D3—21no—
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—21no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
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—44no—
1013C22×D3—44no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3—82no—
1017C22×D3—82no—
1018C22×D3—82no—
1019C22×D3C22×D412yes—
1020C3×D4—44no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
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—44no—
1056C2×C3×C4—44no—
1057C2×C3×C4—44no—
1058C2×C3×C4—82no—
1059C2×C3×C4C22×D412yes—
1060C2×C3×C4C22×D412yes—
1061C2×C3×C4C2×#4112yes—
1062C2×C3×C4C2×#4112yes—
1063C2×C3×C4H(5,𝔽2)12yes—
1064#67—44no—
1065#67—44no—
1066#67—44no—
1067#67—82no—
1068#67—82no—
1069#67—82no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
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—82no—
1104C2×Dic3C22×D412yes—
1105C2×Dic3C22×D412yes—
1106C2×Dic3C22×D412yes—
1107D12—44no—
1108D12—82no—
1109D12—82no—
1110D12—82no—
1111D12—82no—
1112C4×D3—44no—
1113C4×D3—44no—
1114C4×D3—82no—
1115C4×D3—82no—
1116Dic6—44no—
1117Dic6—82no—
1118C24—31no—
1119C24—31no—
1120C24—31no—
1121C24—31no—
1122C24—62no—
1123C24—62no—
1124C24—121no—
1125C24—121no—
1126C24—121no—
1127C24—121no—
1128C24—121no—
1129C24C23×D311yescharacteristic
1130C24C23×D311yescharacteristic
1131C2×Q8—62no—
1132C2×Q8—62no—
1133C2×Q8—62no—
1134C2×Q8—121no—
1135C2×Q8—121no—
1136C2×Q8—121no—
1137C2×D4—22no—
1138C2×D4—22no—
1139C2×D4—34no—
1140C2×D4—41no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—62no—
1145C2×D4—62no—
1146C2×D4—62no—
1147C2×D4—62no—
1148C2×D4—62no—
1149C2×D4—62no—
1150C2×D4—62no—
1151C2×D4—62no—
1152C2×D4—121no—
1153C2×D4—121no—
1154C2×D4—121no—
1155C2×D4—121no—
1156C2×D4—121no—
1157C2×D4—121no—
1158C2×D4—121no—
1159C2×D4—121no—
1160C2×D4—121no—
1161C2×D4—121no—
1162C2×D4—121no—
1163C2×D4—121no—
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—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—31no—
1179C22×C4—31no—
1180C22×C4—31no—
1181C22×C4—31no—
1182C22×C4—31no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—62no—
1200C22×C4—62no—
1201C22×C4—62no—
1202C22×C4—62no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4—121no—
1207C22×C4—121no—
1208C22×C4—121no—
1209C22×C4—121no—
1210C22×C4—121no—
1211C22×C4D3×D414yes—
1212C22×C4C23×D311yescharacteristic
1213C22×C4C23×D311yescharacteristic
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C22×C4C23×D311yescharacteristic
1220C22×C4C23×D311yescharacteristic
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—34no—
1230C4⋊C4—34no—
1231C4⋊C4—41no—
1232C4⋊C4—62no—
1233C4⋊C4—62no—
1234C4⋊C4—62no—
1235C4⋊C4—62no—
1236C4⋊C4—62no—
1237C4⋊C4—62no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—121no—
1247C4⋊C4—121no—
1248C4⋊C4—121no—
1249C4⋊C4—121no—
1250C4⋊C4—121no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C4⋊C4—121no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—34no—
1263C22⋊C4—34no—
1264C22⋊C4—34no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—62no—
1268C22⋊C4—62no—
1269C22⋊C4—62no—
1270C22⋊C4—62no—
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—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
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—121no—
1301C22⋊C4—121no—
1302C22⋊C4—121no—
1303C22⋊C4—121no—
1304C22⋊C4—121no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4#23514yes—
1311C42—22no—
1312C42—22no—
1313C42—22no—
1314C42—22no—
1315C42—22no—
1316C42—41no—
1317C42—41no—
1318C42—62no—
1319C42—62no—
1320C42—62no—
1321C42—121no—
1322C42—121no—
1323C42—121no—
1324C22×C3—22no—
1325C22×C3—22no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3—22no—
1329C22×C3—22no—
1330C22×C3—41no—
1331C22×C3—41no—
1332C22×C3—41no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3—41no—
1336C22×C3—41no—
1337C22×C3—41no—
1338C22×C3C23×D411yescharacteristic
1339C22×C3C22×#4111yescharacteristic
1340C22×C3C2×H(5,𝔽2)11yescharacteristic
1341C22×C3#58511yescharacteristic
1342C22×C3#58511yescharacteristic
1343C22×C3#58511yescharacteristic
1344C22×C3#58511yescharacteristic
1345C2×D3—22no—
1346C2×D3—22no—
1347C2×D3—22no—
1348C2×D3—41no—
1349C2×D3—41no—
1350C2×D3—41no—
1351C2×D3—41no—
1352C2×D3—41no—
1353C2×D3—41no—
1354C2×D3—41no—
1355C2×D3—41no—
1356C2×D3—41no—
1357C2×D3—41no—
1358C2×D3—41no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
1362C2×D3—41no—
1363C2×D3—41no—
1364C2×D3—41no—
1365C2×D3—41no—
1366C2×D3—41no—
1367C2×D3—41no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—88no—
1374C3×C4—22no—
1375C3×C4—22no—
1376C3×C4—22no—
1377C3×C4—22no—
1378C3×C4—22no—
1379C3×C4—41no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387Dic3—22no—
1388Dic3—22no—
1389Dic3—22no—
1390Dic3—41no—
1391Dic3—41no—
1392Dic3—41no—
1393Dic3—41no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—32no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—61no—
1416C23—61no—
1417C23—61no—
1418C23—61no—
1419C23—61no—
1420C23—61no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—61no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—124no—
1440C23—124no—
1441C23—242no—
1442C23—242no—
1443C23—242no—
1444C23—242no—
1445C23—242no—
1446C23C2×#23512yes—
1447C23C2×D3×D412yes—
1448C23C24×D311yescharacteristic
1449Q8—124no—
1450Q8—242no—
1451D4—44no—
1452D4—124no—
1453D4—124no—
1454D4—124no—
1455D4—124no—
1456D4—242no—
1457D4—242no—
1458D4—242no—
1459D4—242no—
1460D4—242no—
1461D4—242no—
1462D4—242no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
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—32no—
1498C2×C4—32no—
1499C2×C4—32no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
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—82no—
1537C2×C4—124no—
1538C2×C4—124no—
1539C2×C4—242no—
1540C2×C4—242no—
1541C2×C4—242no—
1542C2×C4C2×#23512yes—
1543C2×C4C2×#23512yes—
1544C2×C4C2×D3×D412yes—
1545C2×C4C2×D3×D412yes—
1546C2×C4#100912yes—
1547C2×C3—42no—
1548C2×C3—42no—
1549C2×C3#345511yescharacteristic
1550C2×C3D4×#4111yescharacteristic
1551C2×C3#348511yescharacteristic
1552C2×C3#348811yescharacteristic
1553C2×C3#351411yescharacteristic
1554C2×C3#355111yescharacteristic
1555C2×C3#356611yescharacteristic
1556D3—42no—
1557D3—81no—
1558D3—81no—
1559D3—81no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—62no—
1575C22—62no—
1576C22—62no—
1577C22—121no—
1578C22—121no—
1579C22—121no—
1580C22—121no—
1581C22—121no—
1582C22—121no—
1583C22—121no—
1584C22—121no—
1585C22—121no—
1586C22—121no—
1587C22—121no—
1588C22—121no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22—121no—
1598C22—121no—
1599C22—121no—
1600C22—121no—
1601C22—121no—
1602C22—248no—
1603C22C22×#23511yescharacteristic
1604C22C22×D3×D411yescharacteristic
1605C22C2×#100911yescharacteristic
1606C22#596411yescharacteristic
1607C22#596411yescharacteristic
1608C22#596411yescharacteristic
1609C22#596411yescharacteristic
1610C4—22no—
1611C4—22no—
1612C4—22no—
1613C4—22no—
1614C4—22no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—62no—
1624C4—62no—
1625C4—62no—
1626C4—121no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C4—121no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C4—121no—
1635C3#3773311yescharacteristic, complemented, Sylow
1636C2—42no—
1637C2—42no—
1638C2—122no—
1639C2—241no—
1640C2—241no—
1641C2—241no—
1642C2D4×#23511yescharacteristic
1643C2#8583711yescharacteristic
1644C2#8585211yescharacteristic
1645C2#8601211yescharacteristic
1646C2#8604111yescharacteristic
1647C2#8617611yescharacteristic
1648C2#8618311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×C4×#123C2
hypercenterC4×#123D3
hypocenterC3#37733
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
1. C2×#5560C2semidirect
2. C2×#5479C2semidirect
3. C3×C4×#123C2semidirect
4. #82896C2semidirect
5. #82853C2semidirect
6. #82420C2semidirect
7. #82080C2semidirect
8. #75920C2semidirect
9. #75846C2semidirect
10. #75701C2semidirect
11. #75500C2semidirect
12. #75173C2semidirect
13. #75153C2semidirect
14. #75000C2semidirect
15. #74989C2semidirect
16. #74917C2semidirect
17. #74794C2semidirect
18. #74627C2semidirect
19. #74508C2semidirect
20. #74070C2semidirect
21. #74066C2semidirect
22. #73788C2semidirect
23. #73784C2semidirect
24. #73699C2semidirect
25. #73681C2semidirect
26. #73611C2semidirect
27. #73594C2semidirect
28. #73574C2semidirect
29. #73497C2semidirect
30. #73470C2semidirect
31. #73451C2semidirect
35. C22×C3×C42C22semidirect
42. C2×#929C22semidirect
43. C2×#929C22semidirect
46. C2×C4×#67C22semidirect
48. C2×#924C22semidirect
53. C2×#888C22semidirect
65. C2×#876C22semidirect
70. C2×#872C22semidirect
71. C2×#870C22semidirect
72. C2×C4×Dic6C22semidirect
75. C3×#387C22semidirect
76. C3×#387C22semidirect
78. C3×#385C22semidirect
79. C3×#381C22semidirect
80. C3×C4×C4⋊C4C22semidirect
81. C3×C4×C4⋊C4C22semidirect
84. C3×C4×C22⋊C4C22semidirect
89. #5213C22semidirect
90. #5212C22semidirect
93. #4994C22semidirect
96. #4993C22semidirect
99. #4990C22semidirect
101. #4989C22semidirect
102. #4988C22semidirect
104. #4983C22semidirect
105. #4982C22semidirect
106. #4982C22semidirect
107. #4979C22semidirect
111. #4961C22semidirect
113. #4960C22semidirect
115. #4959C22semidirect
124. #4952C22semidirect
129. #4945C22semidirect
130. #4944C22semidirect
136. #4940C22semidirect
137. #4940C22semidirect
138. #4940C22semidirect
139. #4940C22semidirect
143. #4939C22semidirect
145. #4933C22semidirect
146. #4933C22semidirect
147. C4×Dic3⋊C4C22semidirect
148. #4928C22semidirect
149. #4928C22semidirect
150. #4676C22semidirect
153. #4674C22semidirect
155. #4673C22semidirect
156. #4673C22semidirect
170. #4668C22semidirect
172. #4667C22semidirect
173. #4666C22semidirect
174. #4666C22semidirect
177. #4665C22semidirect
179. #4661C22semidirect
180. #4657C22semidirect
181. #4655C22semidirect
182. #4655C22semidirect
183. #4652C22semidirect
184. #4650C22semidirect
185. #4647C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
220. C4×#123D3semidirect
283. #929D4semidirect
453. C22×C42C2×D3semidirect
534. #387C2×D3semidirect
535. #387C2×D3semidirect
551. #385C2×D3semidirect
554. #381C2×D3semidirect
562. C4×C4⋊C4C2×D3semidirect
563. C4×C4⋊C4C2×D3semidirect
570. C4×C22⋊C4C2×D3semidirect
1635. C3#37733semidirect

Maximal subgroups

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

subgroupindex
C2×#55602
C2×#54792
C3×C4×#1232
#828962
#828532
#824202
#820802
#759202
#758462
#757012
#755002
#751732
#751532
#750002
#749892
#749172
#747942
#746272
#745082
#740702
#740662
#737882
#737842
#736992
#736812
#736112
#735942
#735742
#734972
#734702
#734512
#377333