Finite Group Databasebeta

← #11058639

Subgroups — #11058639

Order 768.

3028 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5706C211yesmaximal, characteristic, complemented
2C2×#5590C211yesmaximal, characteristic, complemented
3C3×#2685C211yesmaximal, characteristic, complemented
4#83114C211yesmaximal, characteristic, complemented
5#82610C211yesmaximal, characteristic, complemented
6#78048C211yesmaximal, characteristic, complemented
7#78036C211yesmaximal, characteristic, complemented
8#77430C211yesmaximal, characteristic, complemented
9#77314C211yesmaximal, characteristic, complemented
10#77137C211yesmaximal, characteristic, complemented
11#76973C211yesmaximal, characteristic, complemented
12#76946C211yesmaximal, characteristic, complemented
13#76934C211yesmaximal, characteristic, complemented
14#76905C211yesmaximal, characteristic, complemented
15#76896C211yesmaximal, characteristic, complemented
16#76895C211yesmaximal, characteristic, complemented
17#76895C211yesmaximal, characteristic, complemented
18#76476C211yesmaximal, characteristic, complemented
19#76467C211yesmaximal, characteristic, complemented
20#76428C211yesmaximal, characteristic, complemented
21#76347C211yesmaximal, characteristic, complemented
22#75920C211yesmaximal, characteristic, complemented
23#75916C211yesmaximal, characteristic, complemented
24#75545C211yesmaximal, characteristic, complemented
25#75495C211yesmaximal, characteristic, complemented
26#75475C211yesmaximal, characteristic, complemented
27#75452C211yesmaximal, characteristic, complemented
28#73827C211yesmaximal, characteristic, complemented
29#73824C211yesmaximal, characteristic, complemented
30#73824C211yesmaximal, characteristic, complemented
31#73819C211yesmaximal, characteristic, complemented
32#38910—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C22×D3×D4C2211yescharacteristic
37C2×C3×#126C2211yescharacteristic, complemented
38C2×C3×#120C2211yescharacteristic
39C2×#953C2211yescharacteristic, complemented
40C2×#940C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic
43C2×#938C2211yescharacteristic, complemented
44C2×#937C2211yescharacteristic
45#5706—28no—
46#5590—28no—
47C2×#896C2211yescharacteristic, complemented
48C2×#896C2211yescharacteristic, complemented
49C2×#895C2211yescharacteristic, complemented
50C2×#894C2211yescharacteristic, complemented
51C2×#893C2211yescharacteristic, complemented
52C2×#893C2211yescharacteristic, complemented
53C2×#892C2211yescharacteristic, complemented
54C2×#889C2211yescharacteristic, complemented
55C2×#887C2211yescharacteristic, complemented
56C2×#885C2211yescharacteristic
57C2×#885C2211yescharacteristic, complemented
58C2×#885C2211yescharacteristic, complemented
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#884C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#884C2211yescharacteristic, complemented
64C2×#884C2211yescharacteristic, complemented
65C2×#884C2211yescharacteristic, complemented
66C2×#884C2211yescharacteristic, complemented
67C2×#883C2211yescharacteristic, complemented
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic, complemented
72C2×#882C2211yescharacteristic, complemented
73C2×#67⋊C4C2211yescharacteristic
74C2×#67⋊C4C2211yescharacteristic
75C2×#67⋊C4C2211yescharacteristic, complemented
76C2×#67⋊C4C2211yescharacteristic, complemented
77C2×#878C2211yescharacteristic, complemented
78C2×#877C2211yescharacteristic, complemented
79C2×#877C2211yescharacteristic, complemented
80C2×#876C2211yescharacteristic, complemented
81C2×#872C2211yescharacteristic, complemented
82C2×C42×D3C2211yescharacteristic, complemented
83C3×#399C2211yescharacteristic, complemented
84C3×#396C2211yescharacteristic, complemented
85C3×#394C2211yescharacteristic, complemented
86C3×#394C2211yescharacteristic, complemented
87C3×#394C2211yescharacteristic, complemented
88C3×#394C2211yescharacteristic, complemented
89C3×#390C2211yescharacteristic, complemented
90C3×#390C2211yescharacteristic, complemented
91C3×#388C2211yescharacteristic, complemented
92C3×#388C2211yescharacteristic, complemented
93C3×#388C2211yescharacteristic, complemented
94C3×#379C2211yescharacteristic, complemented
95C3×#379C2211yescharacteristic, complemented
96#5247C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5222C2211yescharacteristic, complemented
100#5222C2211yescharacteristic, complemented
101#5221C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4994C2211yescharacteristic, complemented
104#4993C2211yescharacteristic, complemented
105#4993C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4991C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4990C2211yescharacteristic, complemented
111#4990C2211yescharacteristic, complemented
112#4988C2211yescharacteristic, complemented
113#4988C2211yescharacteristic, complemented
114#4976C2211yescharacteristic, complemented
115#4976C2211yescharacteristic, complemented
116#4975C2211yescharacteristic, complemented
117#4961C2211yescharacteristic, complemented
118#4961C2211yescharacteristic, complemented
119#4960C2211yescharacteristic, complemented
120#4960C2211yescharacteristic, complemented
121#4960C2211yescharacteristic, complemented
122#4960C2211yescharacteristic, complemented
123#4959C2211yescharacteristic, complemented
124#4959C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4959C2211yescharacteristic, complemented
127#4959C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic
131#4957C2211yescharacteristic
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4957C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4957C2211yescharacteristic, complemented
143#4957C2211yescharacteristic, complemented
144#4957C2211yescharacteristic, complemented
145#4957C2211yescharacteristic, complemented
146#4957C2211yescharacteristic, complemented
147#4957C2211yescharacteristic, complemented
148#4957C2211yescharacteristic, complemented
149#4957C2211yescharacteristic, complemented
150#4956C2211yescharacteristic, complemented
151#4955C2211yescharacteristic, complemented
152#4955C2211yescharacteristic, complemented
153#4955C2211yescharacteristic, complemented
154#4955C2211yescharacteristic, complemented
155#4955C2211yescharacteristic, complemented
156#4955C2211yescharacteristic, complemented
157#4955C2211yescharacteristic, complemented
158#4955C2211yescharacteristic, complemented
159#4955C2211yescharacteristic, complemented
160#4953C2211yescharacteristic, complemented
161#4952C2211yescharacteristic, complemented
162#4951C2211yescharacteristic, complemented
163#4949C2211yescharacteristic, complemented
164#4948C2211yescharacteristic, complemented
165#4944C2211yescharacteristic, complemented
166#4942C2211yescharacteristic, complemented
167#4942C2211yescharacteristic, complemented
168Dic3×C22⋊C4C2211yescharacteristic, complemented
169#4940C2211yescharacteristic, complemented
170#4939C2211yescharacteristic, complemented
171#4939C2211yescharacteristic, complemented
172#4939C2211yescharacteristic, complemented
173C4×Dic3⋊C4C2211yescharacteristic, complemented
174#4675C2211yescharacteristic, complemented
175#4674C2211yescharacteristic, complemented
176#4672C2211yescharacteristic, complemented
177#4672C2211yescharacteristic, complemented
178#4671C2211yescharacteristic, complemented
179#4671C2211yescharacteristic, complemented
180#4670C2211yescharacteristic, complemented
181#4669C2211yescharacteristic, complemented
182#4667C2211yescharacteristic, complemented
183#4667C2211yescharacteristic, complemented
184#4667C2211yescharacteristic, complemented
185#4666C2211yescharacteristic, complemented
186#4665C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×D42—31no—
191C2×#529—31no—
192#2856—31no—
193#2685—31no—
194#2685—31no—
195#2685—31no—
196#2685D311yescharacteristic, complemented
197#2678—31no—
198#2678—31no—
199#2678—31no—
200#2678—31no—
201#2624—31no—
202#2624—31no—
203#2548—31no—
204#2540—31no—
205#2540—31no—
206#2538—31no—
207#2490—31no—
208#2490—31no—
209#2435—31no—
210#2435—31no—
211#2414—31no—
212#2414—31no—
213#2408—31no—
214#2408—31no—
215#2408—31no—
216#2408—31no—
217#2354—31no—
218#2309—31no—
219#2309—31no—
220C4×#121—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×#67—24no—
229C22×#67—24no—
230C22×#67—24no—
231C22×#67—42no—
232C22×#67—42no—
233C22×#67—42no—
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C2×D3×D4—24no—
251C2×D3×D4—24no—
252C2×D3×D4—24no—
253C2×D3×D4—42no—
254C2×D3×D4—42no—
255C2×D3×D4—42no—
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×Dic6C2311yescharacteristic
269C3×#126—24no—
270C3×#120—24no—
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C42C2311yescharacteristic
297C2×C3×C42C2311yescharacteristic
298#953—42no—
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312#940—24no—
313#939—24no—
314#939—24no—
315#938—42no—
316#937—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382#896—24no—
383#896—42no—
384#895—42no—
385#894—24no—
386#893—24no—
387#893—42no—
388#892—24no—
389#889—24no—
390#887—24no—
391#885—24no—
392#885—42no—
393#885—42no—
394#884—24no—
395#884—24no—
396#884—24no—
397#884—24no—
398#884—42no—
399#884—42no—
400#884—42no—
401#884—42no—
402#883—24no—
403#882—24no—
404#882—24no—
405#882—42no—
406#882—42no—
407#882—42no—
408#67⋊C4—24no—
409#67⋊C4—24no—
410#67⋊C4—42no—
411#67⋊C4D418yescomplemented
412#878—42no—
413#877—24no—
414#877—42no—
415#876—24no—
416#872—42no—
417C42×D3—24no—
418C3×#95C2311yescharacteristic
419C3×#95C2311yescharacteristic
420C3×#95C2311yescharacteristic
421C3×#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C23×D4—31no—
433C23×D4—31no—
434C23×D4—31no—
435C23×D4—31no—
436D42—68no—
437C2×#127—31no—
438#529—68no—
439C2×#126—31no—
440C2×#126C2×D311yescharacteristic, complemented
441C2×#125—31no—
442C2×#124—31no—
443C2×#124—31no—
444C2×#124—31no—
445C2×#123—31no—
446C2×#123—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8—31no—
449C2×C22⋊Q8—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×#120C2×D311yescharacteristic
470C2×C4×Q8—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C2×C4×D4—31no—
476C2×C4×D4—31no—
477C2×#117—31no—
478C2×#117—31no—
479C2×#117—31no—
480C2×#117—31no—
481C22×C42—31no—
482#399—31no—
483#399—31no—
484#399—31no—
485#399C2×D311yescharacteristic, complemented
486#397—31no—
487#397—31no—
488#397—31no—
489#397—31no—
490#396—31no—
491#396—31no—
492#396—31no—
493#396C2×D311yescharacteristic, complemented
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394C2×D311yescharacteristic, complemented
511#394C2×D311yescharacteristic, complemented
512#394C2×D311yescharacteristic, complemented
513#394C2×D311yescharacteristic, complemented
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#390—31no—
535#390—31no—
536#390—31no—
537#390—31no—
538#390—31no—
539#390—31no—
540#390—31no—
541#390—31no—
542#390—31no—
543#390—31no—
544#390—31no—
545#390—31no—
546#390—31no—
547#390—31no—
548#390—31no—
549#390C2×D311yescharacteristic, complemented
550#390C2×D311yescharacteristic, complemented
551#389—31no—
552#389—31no—
553#389—31no—
554#388—31no—
555#388—31no—
556#388—31no—
557#388—31no—
558#388—31no—
559#388—31no—
560#388—31no—
561#388C2×D311yescharacteristic, complemented
562#388C2×D311yescharacteristic, complemented
563#388C2×D311yescharacteristic, complemented
564#386—31no—
565#386—31no—
566#384—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576#379—31no—
577#379—31no—
578#379—31no—
579#379—31no—
580#379—31no—
581#379—31no—
582#379C2×D311yescharacteristic, complemented
583#379C2×D311yescharacteristic, complemented
584C4×C4⋊C4—31no—
585C4×C4⋊C4—31no—
586C4×C4⋊C4—31no—
587C4×C22⋊C4—31no—
588C4×C22⋊C4—31no—
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3—41no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3C2411yescharacteristic
597C24×C3C2411yescharacteristic
598C24×C3C2411yescharacteristic
599C24×C3C2411yescharacteristic
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—22no—
603C23×D3—22no—
604C23×D3—22no—
605C23×D3—22no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3—41no—
619C23×D3—41no—
620C23×D3—41no—
621C23×D3C2411yescharacteristic
622C23×D3C2411yescharacteristic
623C23×D3C2411yescharacteristic
624C23×D3C2411yescharacteristic
625C23×D3C2411yescharacteristic
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—416no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—416no—
688C2×#67C2×D414yes—
689C2×#67#4114yes—
690C22×Dic3—22no—
691C22×Dic3—22no—
692C22×Dic3—22no—
693C22×Dic3—22no—
694C22×Dic3—22no—
695C22×Dic3C2×D414yes—
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707D3×D4—416no—
708D3×D4—416no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—22no—
717C2×D12—22no—
718C2×D12—22no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×D12—41no—
730C2×C4×D3—22no—
731C2×C4×D3—22no—
732C2×C4×D3—22no—
733C2×C4×D3—22no—
734C2×C4×D3—22no—
735C2×C4×D3—22no—
736C2×C4×D3—22no—
737C2×C4×D3—22no—
738C2×C4×D3—22no—
739C2×C4×D3—22no—
740C2×C4×D3—22no—
741C2×C4×D3—22no—
742C2×C4×D3—22no—
743C2×C4×D3—41no—
744C2×C4×D3C2×D414yes—
745C2×Dic6—22no—
746C2×Dic6—22no—
747C2×Dic6—22no—
748C3×C4⋊C4—22no—
749C3×C4⋊C4—22no—
750C3×C4⋊C4—22no—
751C3×C4⋊C4—41no—
752C3×C4⋊C4—41no—
753C3×C4⋊C4—41no—
754C3×C22⋊C4—22no—
755C3×C22⋊C4—22no—
756C3×C22⋊C4—22no—
757C3×C22⋊C4—22no—
758C3×C22⋊C4—22no—
759C3×C22⋊C4—41no—
760C3×C22⋊C4—41no—
761C3×C22⋊C4—41no—
762C3×C22⋊C4—41no—
763C3×C22⋊C4—41no—
764C3×C22⋊C4—41no—
765C3×C22⋊C4—41no—
766C3×C22⋊C4—41no—
767C3×C22⋊C4—41no—
768C3×C22⋊C4—41no—
769C3×C22⋊C4—41no—
770C3×C22⋊C4—41no—
771C3×C22⋊C4—41no—
772C3×C22⋊C4C2×D414yes—
773C3×C42—22no—
774C3×C42—41no—
775#217—22no—
776#217—22no—
777#217—41no—
778#217—41no—
779#217—41no—
780#217—41no—
781#217—41no—
782#217—41no—
783#217—41no—
784#217—41no—
785#217—41no—
786#217—41no—
787#217—41no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4—41no—
801(C2×D3)⋊C4—41no—
802(C2×D3)⋊C4—41no—
803(C2×D3)⋊C4—41no—
804(C2×D3)⋊C4—41no—
805(C2×D3)⋊C4—41no—
806(C2×D3)⋊C4—41no—
807(C2×D3)⋊C4—41no—
808(C2×D3)⋊C4—41no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4—41no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4C2×D414yes—
824C4⋊Dic3—22no—
825C4⋊Dic3—41no—
826C4⋊Dic3—41no—
827Dic3⋊C4—22no—
828Dic3⋊C4—22no—
829Dic3⋊C4—22no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—22no—
834Dic3⋊C4—22no—
835Dic3⋊C4—22no—
836Dic3⋊C4—22no—
837Dic3⋊C4—22no—
838Dic3⋊C4—22no—
839Dic3⋊C4—41no—
840Dic3⋊C4—41no—
841Dic3⋊C4—41no—
842Dic3⋊C4C2×D414yes—
843C4×Dic3—22no—
844C4×Dic3—22no—
845C4×Dic3—22no—
846C4×Dic3—22no—
847C4×Dic3—22no—
848C4×Dic3—22no—
849C4×Dic3—41no—
850C4×Dic3—41no—
851C4×Dic3—41no—
852C4×Dic3C2×D414yes—
853C25—31no—
854C25—31no—
855C25—31no—
856C25C22×D311yescharacteristic
857C22×Q8—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—64no—
880C22×D4—64no—
881C22×D4—64no—
882C22×D4—64no—
883C22×D4—64no—
884C22×D4—64no—
885C22×D4—122no—
886C22×D4—122no—
887C22×D4—122no—
888C22×D4—122no—
889C22×D4—122no—
890C22×D4—122no—
891C22×D4C22×D311yescharacteristic
892C22×D4C22×D311yescharacteristic
893C22×D4C22×D311yescharacteristic
894C23×C4—31no—
895C23×C4—31no—
896C23×C4—31no—
897C23×C4—31no—
898C23×C4—31no—
899C23×C4—31no—
900C23×C4—31no—
901#127—64no—
902#126—24no—
903#126—64no—
904#125—64no—
905#124—64no—
906#124—122no—
907#124—122no—
908#123—64no—
909#123—64no—
910C22⋊Q8—64no—
911C22⋊Q8—122no—
912C22⋊Q8—122no—
913#121—64no—
914#121—64no—
915#121—64no—
916#121—64no—
917#121—64no—
918#121—64no—
919#121—122no—
920#121—122no—
921#121—122no—
922#121—122no—
923#121—122no—
924#121—122no—
925#120—24no—
926#120—64no—
927#120—64no—
928#120—64no—
929#120—122no—
930#120—122no—
931#120—122no—
932#120—122no—
933C4×Q8—64no—
934C4×D4—38no—
935C4×D4—64no—
936C4×D4—64no—
937C4×D4—64no—
938C4×D4—122no—
939C4×D4—122no—
940#117—64no—
941#117—64no—
942#117—122no—
943#117—122no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—31no—
963C2×C4⋊C4C22×D311yescharacteristic
964C2×C4⋊C4C22×D311yescharacteristic
965C2×C4⋊C4C22×D311yescharacteristic
966C2×C4⋊C4C22×D311yescharacteristic
967C2×C4⋊C4C22×D311yescharacteristic
968C2×C4⋊C4C22×D311yescharacteristic
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C22⋊C4C22×D311yescharacteristic
1030C2×C22⋊C4C22×D311yescharacteristic
1031C2×C22⋊C4C22×D311yescharacteristic
1032C2×C22⋊C4C22×D311yescharacteristic
1033C2×C22⋊C4C22×D311yescharacteristic
1034C2×C22⋊C4C22×D311yescharacteristic
1035C2×C22⋊C4C22×D311yescharacteristic
1036C2×C22⋊C4C22×D311yescharacteristic
1037C2×C42—31no—
1038C2×C42—31no—
1039C2×C42—31no—
1040C2×C42—31no—
1041C2×C42—31no—
1042C2×C42—31no—
1043C2×C42—31no—
1044C2×C42—31no—
1045C2×C42—31no—
1046C2×C42—31no—
1047C2×C42—64no—
1048C2×C42C22×D311yescharacteristic
1049C2×C42C22×D311yescharacteristic
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95—31no—
1057#95—31no—
1058#95—31no—
1059#95—31no—
1060#95C22×D311yescharacteristic
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063#95C22×D311yescharacteristic
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—44no—
1091C23×C3—44no—
1092C23×C3—82no—
1093C23×C3—82no—
1094C23×C3—82no—
1095C23×C3—82no—
1096C23×C3—82no—
1097C23×C3C22×D412yes—
1098C23×C3C2×#4112yes—
1099C23×C3C2511yescharacteristic
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—44no—
1133C22×D3—44no—
1134C22×D3—44no—
1135C22×D3—44no—
1136C22×D3—44no—
1137C22×D3—44no—
1138C22×D3—82no—
1139C22×D3—82no—
1140C22×D3—82no—
1141C22×D3—82no—
1142C22×D3—82no—
1143C22×D3—82no—
1144C22×D3—82no—
1145C22×D3—82no—
1146C22×D3—82no—
1147C22×D3—82no—
1148C22×D3—82no—
1149C22×D3—82no—
1150C22×D3—82no—
1151C22×D3—82no—
1152C22×D3—82no—
1153C22×D3C22×D412yes—
1154C22×D3C2×#4112yes—
1155C22×D3H(5,𝔽2)12yes—
1156C3×D4—44no—
1157C3×D4—44no—
1158C3×D4—82no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4C22×D412yes—
1191C2×C3×C4C22×D412yes—
1192#67—28no—
1193#67—28no—
1194#67—44no—
1195#67—44no—
1196#67—44no—
1197#67—44no—
1198#67—44no—
1199#67—44no—
1200#67—44no—
1201#67—44no—
1202#67—44no—
1203#67—44no—
1204#67—82no—
1205#67—82no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—28no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—21no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—44no—
1234C2×Dic3C22×D412yes—
1235C2×Dic3C22×D412yes—
1236C2×Dic3C22×D412yes—
1237C2×Dic3C2×#4112yes—
1238C2×Dic3H(5,𝔽2)12yes—
1239C2×Dic3H(5,𝔽2)12yes—
1240C2×Dic3H(5,𝔽2)12yes—
1241D12—44no—
1242D12—44no—
1243D12—44no—
1244D12—44no—
1245D12—82no—
1246D12—82no—
1247D12—82no—
1248C4×D3—28no—
1249C4×D3—44no—
1250C4×D3—44no—
1251C4×D3—44no—
1252C4×D3—44no—
1253Dic6—44no—
1254C24—22no—
1255C24—22no—
1256C24—31no—
1257C24—31no—
1258C24—31no—
1259C24—31no—
1260C24—31no—
1261C24—41no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24—62no—
1267C24—62no—
1268C24—62no—
1269C24—62no—
1270C24—62no—
1271C24—62no—
1272C24—121no—
1273C24—121no—
1274C24—121no—
1275C24—121no—
1276C24—121no—
1277C24—121no—
1278C24—121no—
1279C24—121no—
1280C24—121no—
1281C24—121no—
1282C24—121no—
1283C24—121no—
1284C24—121no—
1285C24—121no—
1286C24—121no—
1287C24C23×D311yescharacteristic
1288C24C23×D311yescharacteristic
1289C24C23×D311yescharacteristic
1290C24C23×D311yescharacteristic
1291C2×Q8—62no—
1292C2×Q8—62no—
1293C2×Q8—62no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—34no—
1299C2×D4—34no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—62no—
1306C2×D4—62no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—62no—
1310C2×D4—62no—
1311C2×D4—62no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
1315C2×D4—62no—
1316C2×D4—62no—
1317C2×D4—62no—
1318C2×D4—62no—
1319C2×D4—62no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—62no—
1324C2×D4—62no—
1325C2×D4—62no—
1326C2×D4—62no—
1327C2×D4—62no—
1328C2×D4—62no—
1329C2×D4—62no—
1330C2×D4—62no—
1331C2×D4—62no—
1332C2×D4—62no—
1333C2×D4—62no—
1334C2×D4—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
1340C2×D4—62no—
1341C2×D4—62no—
1342C2×D4—62no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—1216no—
1355C2×D4—1216no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—121no—
1361C2×D4—121no—
1362C2×D4—121no—
1363C2×D4—121no—
1364C2×D4—121no—
1365C2×D4—121no—
1366C2×D4—121no—
1367C2×D4—121no—
1368C2×D4—1216no—
1369C2×D4—1216no—
1370C22×C4—31no—
1371C22×C4—31no—
1372C22×C4—34no—
1373C22×C4—31no—
1374C22×C4—34no—
1375C22×C4—31no—
1376C22×C4—31no—
1377C22×C4—31no—
1378C22×C4—31no—
1379C22×C4—31no—
1380C22×C4—31no—
1381C22×C4—31no—
1382C22×C4—31no—
1383C22×C4—62no—
1384C22×C4—62no—
1385C22×C4—62no—
1386C22×C4—62no—
1387C22×C4—62no—
1388C22×C4—62no—
1389C22×C4—62no—
1390C22×C4—62no—
1391C22×C4—62no—
1392C22×C4—62no—
1393C22×C4—62no—
1394C22×C4—62no—
1395C22×C4—62no—
1396C22×C4—62no—
1397C22×C4—62no—
1398C22×C4—62no—
1399C22×C4—62no—
1400C22×C4—62no—
1401C22×C4—121no—
1402C22×C4C23×D311yescharacteristic
1403C22×C4C23×D311yescharacteristic
1404C22×C4C23×D311yescharacteristic
1405C22×C4C23×D311yescharacteristic
1406C22×C4C23×D311yescharacteristic
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C22×C4C23×D311yescharacteristic
1410C22×C4C23×D311yescharacteristic
1411C22×C4C23×D311yescharacteristic
1412C22×C4C23×D311yescharacteristic
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—34no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—62no—
1421C4⋊C4—62no—
1422C4⋊C4—62no—
1423C4⋊C4—62no—
1424C4⋊C4—62no—
1425C4⋊C4—62no—
1426C4⋊C4—62no—
1427C4⋊C4—62no—
1428C4⋊C4—62no—
1429C4⋊C4—62no—
1430C4⋊C4—62no—
1431C4⋊C4—62no—
1432C4⋊C4—62no—
1433C4⋊C4—121no—
1434C4⋊C4—121no—
1435C4⋊C4—121no—
1436C4⋊C4—121no—
1437C4⋊C4—121no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—34no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—62no—
1458C22⋊C4—62no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
1461C22⋊C4—62no—
1462C22⋊C4—62no—
1463C22⋊C4—62no—
1464C22⋊C4—62no—
1465C22⋊C4—62no—
1466C22⋊C4—62no—
1467C22⋊C4—62no—
1468C22⋊C4—121no—
1469C22⋊C4—121no—
1470C22⋊C4—121no—
1471C22⋊C4—121no—
1472C22⋊C4—121no—
1473C22⋊C4—121no—
1474C22⋊C4—121no—
1475C22⋊C4—121no—
1476C22⋊C4—121no—
1477C22⋊C4—121no—
1478C22⋊C4—121no—
1479C22⋊C4—121no—
1480C22⋊C4—121no—
1481C22⋊C4—121no—
1482C22⋊C4—121no—
1483C22⋊C4—121no—
1484C22⋊C4—121no—
1485C22⋊C4—121no—
1486C22⋊C4—121no—
1487C22⋊C4—121no—
1488C22⋊C4—121no—
1489C22⋊C4—121no—
1490C22⋊C4—121no—
1491C22⋊C4—121no—
1492C22⋊C4—121no—
1493C22⋊C4—121no—
1494C22⋊C4—121no—
1495C22⋊C4—121no—
1496C22⋊C4—121no—
1497C22⋊C4—121no—
1498C22⋊C4—121no—
1499C22⋊C4—121no—
1500C22⋊C4—121no—
1501C22⋊C4—121no—
1502C22⋊C4—121no—
1503C22⋊C4—121no—
1504C22⋊C4—121no—
1505C22⋊C4D3×D414yes—
1506C42—22no—
1507C42—34no—
1508C42—41no—
1509C42—62no—
1510C42—62no—
1511C42—62no—
1512C42—62no—
1513C42—62no—
1514C42—62no—
1515C42—121no—
1516C42—121no—
1517C42—121no—
1518C22×C3—22no—
1519C22×C3—22no—
1520C22×C3—22no—
1521C22×C3—22no—
1522C22×C3—22no—
1523C22×C3—22no—
1524C22×C3—41no—
1525C22×C3—41no—
1526C22×C3—41no—
1527C22×C3—41no—
1528C22×C3—41no—
1529C22×C3—41no—
1530C22×C3—41no—
1531C22×C3—41no—
1532C22×C3—41no—
1533C22×C3—41no—
1534C22×C3—41no—
1535C22×C3—41no—
1536C22×C3—41no—
1537C22×C3—41no—
1538C22×C3—41no—
1539C22×C3—41no—
1540C22×C3—41no—
1541C22×C3—41no—
1542C22×C3—41no—
1543C22×C3—41no—
1544C22×C3—41no—
1545C22×C3—41no—
1546C22×C3—88no—
1547C22×C3C23×D411yescharacteristic
1548C22×C3C22×#4111yescharacteristic
1549C22×C3C2×H(5,𝔽2)11yescharacteristic
1550C22×C3C2×H(5,𝔽2)11yescharacteristic
1551C22×C3C2×H(5,𝔽2)11yescharacteristic
1552C22×C3C2×H(5,𝔽2)11yescharacteristic
1553C22×C3#58511yescharacteristic
1554C2×D3—22no—
1555C2×D3—22no—
1556C2×D3—22no—
1557C2×D3—22no—
1558C2×D3—22no—
1559C2×D3—22no—
1560C2×D3—22no—
1561C2×D3—22no—
1562C2×D3—22no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—41no—
1568C2×D3—41no—
1569C2×D3—41no—
1570C2×D3—41no—
1571C2×D3—41no—
1572C2×D3—41no—
1573C2×D3—41no—
1574C2×D3—41no—
1575C2×D3—41no—
1576C2×D3—41no—
1577C2×D3—41no—
1578C2×D3—41no—
1579C2×D3—41no—
1580C2×D3—41no—
1581C2×D3—41no—
1582C2×D3—41no—
1583C2×D3—41no—
1584C2×D3—41no—
1585C2×D3—41no—
1586C2×D3—41no—
1587C2×D3—41no—
1588C2×D3—41no—
1589C2×D3—88no—
1590C2×D3—88no—
1591C2×D3—88no—
1592C3×C4—22no—
1593C3×C4—22no—
1594C3×C4—41no—
1595C3×C4—41no—
1596C3×C4—41no—
1597C3×C4—41no—
1598C3×C4—41no—
1599C3×C4—41no—
1600C3×C4—41no—
1601C3×C4—41no—
1602C3×C4—41no—
1603Dic3—22no—
1604Dic3—41no—
1605Dic3—41no—
1606Dic3—41no—
1607Dic3—41no—
1608Dic3—41no—
1609Dic3—41no—
1610Dic3—41no—
1611Dic3—41no—
1612Dic3#53514yes—
1613Dic3#54614yes—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—32no—
1641C23—32no—
1642C23—32no—
1643C23—44no—
1644C23—44no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—61no—
1657C23—61no—
1658C23—61no—
1659C23—61no—
1660C23—61no—
1661C23—61no—
1662C23—61no—
1663C23—61no—
1664C23—61no—
1665C23—61no—
1666C23—61no—
1667C23—61no—
1668C23—61no—
1669C23—61no—
1670C23—61no—
1671C23—61no—
1672C23—61no—
1673C23—61no—
1674C23—61no—
1675C23—61no—
1676C23—61no—
1677C23—82no—
1678C23—82no—
1679C23—82no—
1680C23—82no—
1681C23—82no—
1682C23—124no—
1683C23—124no—
1684C23—124no—
1685C23—124no—
1686C23—124no—
1687C23—124no—
1688C23—242no—
1689C23—242no—
1690C23—242no—
1691C23—242no—
1692C23—242no—
1693C23—242no—
1694C23—242no—
1695C23—242no—
1696C23—242no—
1697C23—242no—
1698C23—242no—
1699C23—242no—
1700C23—242no—
1701C23—242no—
1702C23—242no—
1703C23C2×D3×D412yes—
1704C23D3×#4112yes—
1705C23C24×D311yescharacteristic
1706Q8—124no—
1707D4—44no—
1708D4—44no—
1709D4—68no—
1710D4—68no—
1711D4—82no—
1712D4—124no—
1713D4—124no—
1714D4—124no—
1715D4—124no—
1716D4—124no—
1717D4—124no—
1718D4—124no—
1719D4—124no—
1720D4—124no—
1721D4—124no—
1722D4—124no—
1723D4—124no—
1724D4—124no—
1725D4—124no—
1726D4—242no—
1727D4—242no—
1728D4—242no—
1729D4—242no—
1730D4—242no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—32no—
1763C2×C4—32no—
1764C2×C4—32no—
1765C2×C4—32no—
1766C2×C4—32no—
1767C2×C4—32no—
1768C2×C4—32no—
1769C2×C4—68no—
1770C2×C4—68no—
1771C2×C4—61no—
1772C2×C4—61no—
1773C2×C4—61no—
1774C2×C4—61no—
1775C2×C4—61no—
1776C2×C4—61no—
1777C2×C4—61no—
1778C2×C4—61no—
1779C2×C4—61no—
1780C2×C4—61no—
1781C2×C4—61no—
1782C2×C4—61no—
1783C2×C4—61no—
1784C2×C4—61no—
1785C2×C4—61no—
1786C2×C4—61no—
1787C2×C4—61no—
1788C2×C4—61no—
1789C2×C4—61no—
1790C2×C4—61no—
1791C2×C4—61no—
1792C2×C4—61no—
1793C2×C4—61no—
1794C2×C4—61no—
1795C2×C4—61no—
1796C2×C4—61no—
1797C2×C4—124no—
1798C2×C4—124no—
1799C2×C4—124no—
1800C2×C4—124no—
1801C2×C4—124no—
1802C2×C4C2×D3×D412yes—
1803C2×C4C2×D3×D412yes—
1804C2×C3—42no—
1805C2×C3—42no—
1806C2×C3—81no—
1807C2×C3—81no—
1808C2×C3C2×#53511yescharacteristic
1809C2×C3C2×#54611yescharacteristic
1810C2×C3#348811yescharacteristic
1811C2×C3#351411yescharacteristic
1812C2×C3#351911yescharacteristic
1813C2×C3#354311yescharacteristic
1814C2×C3#354611yescharacteristic
1815D3—42no—
1816D3—42no—
1817D3—42no—
1818D3—81no—
1819D3—81no—
1820C22—22no—
1821C22—22no—
1822C22—22no—
1823C22—22no—
1824C22—22no—
1825C22—22no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—62no—
1849C22—62no—
1850C22—62no—
1851C22—62no—
1852C22—62no—
1853C22—62no—
1854C22—62no—
1855C22—62no—
1856C22—62no—
1857C22—88no—
1858C22—121no—
1859C22—121no—
1860C22—121no—
1861C22—121no—
1862C22—121no—
1863C22—121no—
1864C22—121no—
1865C22—121no—
1866C22—121no—
1867C22—121no—
1868C22—121no—
1869C22—121no—
1870C22—121no—
1871C22—121no—
1872C22—121no—
1873C22—121no—
1874C22—121no—
1875C22—121no—
1876C22—121no—
1877C22—121no—
1878C22—121no—
1879C22—121no—
1880C22—121no—
1881C22—121no—
1882C22—121no—
1883C22—121no—
1884C22—248no—
1885C22—248no—
1886C22—248no—
1887C22C22×D3×D411yescharacteristic
1888C22C2×D3×#4111yescharacteristic
1889C22#596411yescharacteristic
1890C22D3×H(5,𝔽2)11yescharacteristic
1891C22D3×H(5,𝔽2)11yescharacteristic
1892C22D3×H(5,𝔽2)11yescharacteristic
1893C22D3×H(5,𝔽2)11yescharacteristic
1894C4—22no—
1895C4—22no—
1896C4—34no—
1897C4—34no—
1898C4—41no—
1899C4—41no—
1900C4—41no—
1901C4—41no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—62no—
1908C4—121no—
1909C4—121no—
1910C4—121no—
1911C4—121no—
1912C4—121no—
1913C4—121no—
1914C4—121no—
1915C4—121no—
1916C3#3891011yescharacteristic, complemented, Sylow
1917C2—42no—
1918C2—42no—
1919C2—81no—
1920C2—81no—
1921C2—122no—
1922C2—122no—
1923C2—122no—
1924C2—241no—
1925C2—241no—
1926C2D3×#53511yescharacteristic
1927C2#8640111yescharacteristic
1928C2#8641711yescharacteristic
1929C2#8662911yescharacteristic
1930C2D3×#54611yescharacteristic
1931C2#8679711yescharacteristic
1932C2#8708311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2685C2
hypercenter#2685D3
hypocenterC3#38910
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2685

Complements

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

NH ≅ G/Ntype
1. C2×#5706C2semidirect
2. C2×#5590C2semidirect
3. C3×#2685C2semidirect
4. #83114C2semidirect
5. #82610C2semidirect
6. #78048C2semidirect
7. #78036C2semidirect
8. #77430C2semidirect
9. #77314C2semidirect
10. #77137C2semidirect
11. #76973C2semidirect
12. #76946C2semidirect
13. #76934C2semidirect
14. #76905C2semidirect
15. #76896C2semidirect
16. #76895C2semidirect
17. #76895C2semidirect
18. #76476C2semidirect
19. #76467C2semidirect
20. #76428C2semidirect
21. #76347C2semidirect
22. #75920C2semidirect
23. #75916C2semidirect
24. #75545C2semidirect
25. #75495C2semidirect
26. #75475C2semidirect
27. #75452C2semidirect
28. #73827C2semidirect
29. #73824C2semidirect
30. #73824C2semidirect
31. #73819C2semidirect
37. C2×C3×#126C22semidirect
39. C2×#953C22semidirect
43. C2×#938C22semidirect
47. C2×#896C22semidirect
48. C2×#896C22semidirect
49. C2×#895C22semidirect
50. C2×#894C22semidirect
51. C2×#893C22semidirect
52. C2×#893C22semidirect
53. C2×#892C22semidirect
54. C2×#889C22semidirect
55. C2×#887C22semidirect
57. C2×#885C22semidirect
58. C2×#885C22semidirect
63. C2×#884C22semidirect
64. C2×#884C22semidirect
65. C2×#884C22semidirect
66. C2×#884C22semidirect
67. C2×#883C22semidirect
70. C2×#882C22semidirect
71. C2×#882C22semidirect
72. C2×#882C22semidirect
75. C2×#67⋊C4C22semidirect
76. C2×#67⋊C4C22semidirect
77. C2×#878C22semidirect
78. C2×#877C22semidirect
79. C2×#877C22semidirect
80. C2×#876C22semidirect
81. C2×#872C22semidirect
82. C2×C42×D3C22semidirect
83. C3×#399C22semidirect
84. C3×#396C22semidirect
85. C3×#394C22semidirect
86. C3×#394C22semidirect
87. C3×#394C22semidirect
88. C3×#394C22semidirect
89. C3×#390C22semidirect
90. C3×#390C22semidirect
91. C3×#388C22semidirect
92. C3×#388C22semidirect
93. C3×#388C22semidirect
94. C3×#379C22semidirect
95. C3×#379C22semidirect
96. #5247C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5222C22semidirect
100. #5222C22semidirect
101. #5221C22semidirect
102. #4994C22semidirect
103. #4994C22semidirect
104. #4993C22semidirect
105. #4993C22semidirect
106. #4991C22semidirect
107. #4991C22semidirect
108. #4991C22semidirect
109. #4991C22semidirect
110. #4990C22semidirect
111. #4990C22semidirect
112. #4988C22semidirect
113. #4988C22semidirect
114. #4976C22semidirect
115. #4976C22semidirect
116. #4975C22semidirect
117. #4961C22semidirect
118. #4961C22semidirect
119. #4960C22semidirect
120. #4960C22semidirect
121. #4960C22semidirect
122. #4960C22semidirect
123. #4959C22semidirect
124. #4959C22semidirect
125. #4959C22semidirect
126. #4959C22semidirect
127. #4959C22semidirect
128. #4959C22semidirect
134. #4957C22semidirect
135. #4957C22semidirect
136. #4957C22semidirect
137. #4957C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
142. #4957C22semidirect
143. #4957C22semidirect
144. #4957C22semidirect
145. #4957C22semidirect
146. #4957C22semidirect
147. #4957C22semidirect
148. #4957C22semidirect
149. #4957C22semidirect
150. #4956C22semidirect
151. #4955C22semidirect
152. #4955C22semidirect
153. #4955C22semidirect
154. #4955C22semidirect
155. #4955C22semidirect
156. #4955C22semidirect
157. #4955C22semidirect
158. #4955C22semidirect
159. #4955C22semidirect
160. #4953C22semidirect
161. #4952C22semidirect
162. #4951C22semidirect
163. #4949C22semidirect
164. #4948C22semidirect
165. #4944C22semidirect
166. #4942C22semidirect
167. #4942C22semidirect
168. Dic3×C22⋊C4C22semidirect
169. #4940C22semidirect
170. #4939C22semidirect
171. #4939C22semidirect
172. #4939C22semidirect
173. C4×Dic3⋊C4C22semidirect
174. #4675C22semidirect
175. #4674C22semidirect
176. #4672C22semidirect
177. #4672C22semidirect
178. #4671C22semidirect
179. #4671C22semidirect
180. #4670C22semidirect
181. #4669C22semidirect
182. #4667C22semidirect
183. #4667C22semidirect
184. #4667C22semidirect
185. #4666C22semidirect
186. #4665C22semidirect
187. #4649C22semidirect
188. #4649C22semidirect
189. #4647C22semidirect
196. #2685D3semidirect
411. #67⋊C4D4semidirect
440. C2×#126C2×D3semidirect
485. #399C2×D3semidirect
493. #396C2×D3semidirect
510. #394C2×D3semidirect
511. #394C2×D3semidirect
512. #394C2×D3semidirect
513. #394C2×D3semidirect
549. #390C2×D3semidirect
550. #390C2×D3semidirect
561. #388C2×D3semidirect
562. #388C2×D3semidirect
563. #388C2×D3semidirect
582. #379C2×D3semidirect
583. #379C2×D3semidirect
1916. C3#38910semidirect

Maximal subgroups

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

subgroupindex
C2×#57062
C2×#55902
C3×#26852
#831142
#826102
#780482
#780362
#774302
#773142
#771372
#769732
#769462
#769342
#769052
#768962
#768952
#764762
#764672
#764282
#763472
#759202
#759162
#755452
#754952
#754752
#754522
#738272
#738242
#738192
#389103