Finite Group Databasebeta

← #11025550

Subgroups — #11025550

Order 768.

3060 conjugacy classes of subgroups.

The subgroup lattice has 1936 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#938C211yesmaximal, characteristic, complemented
2C2×#5615C211yesmaximal, characteristic, complemented
3C3×#2410C211yesmaximal, characteristic, complemented
4#84048C211yesmaximal, characteristic, complemented
5#82717C211yesmaximal, characteristic, complemented
6#82715C211yesmaximal, characteristic, complemented
7#82658C211yesmaximal, characteristic, complemented
8#82606C211yesmaximal, characteristic, complemented
9#82588C211yesmaximal, characteristic, complemented
10#82587C211yesmaximal, characteristic, complemented
11#82585C211yesmaximal, characteristic, complemented
12#82126C211yesmaximal, characteristic, complemented
13#82099C211yesmaximal, characteristic, complemented
14#77131C211yesmaximal, characteristic, complemented
15#77034C211yesmaximal, characteristic, complemented
16#76995C211yesmaximal, characteristic, complemented
17#76930C211yesmaximal, characteristic, complemented
18#76768C211yesmaximal, characteristic, complemented
19#76720C211yesmaximal, characteristic, complemented
20#76703C211yesmaximal, characteristic, complemented
21#76671C211yesmaximal, characteristic, complemented
22#74925C211yesmaximal, characteristic, complemented
23#74799C211yesmaximal, characteristic, complemented
24#74720C211yesmaximal, characteristic, complemented
25#74704C211yesmaximal, characteristic, complemented
26#74669C211yesmaximal, characteristic, complemented
27#74659C211yesmaximal, characteristic, complemented
28#74656C211yesmaximal, characteristic, complemented
29#74441C211yesmaximal, characteristic, complemented
30#73824C211yesmaximal, characteristic, complemented
31#73822C211yesmaximal, characteristic, complemented
32#37722—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C23×#67C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×#121C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic, complemented
39C2×C3×#120C2211yescharacteristic
40C2×C3×#120C2211yescharacteristic
41C22×C3×C22⋊C4C2211yescharacteristic
42C2×#953C2211yescharacteristic
43C2×#953C2211yescharacteristic
44C22×#217C2211yescharacteristic
45C22×#217C2211yescharacteristic
46C22×#217C2211yescharacteristic
47C2×#940C2211yescharacteristic, complemented
48C2×#940C2211yescharacteristic, complemented
49C2×#939C2211yescharacteristic
50C2×#939C2211yescharacteristic, complemented
51C2×#939C2211yescharacteristic, complemented
52C2×#939C2211yescharacteristic, complemented
53C2×#939C2211yescharacteristic, complemented
54C2×#939C2211yescharacteristic, complemented
55C2×#938—28no—
56C2×#938C2211yescharacteristic
57C2×#938C2211yescharacteristic
58C2×#938C2211yescharacteristic
59C2×#938C2211yescharacteristic
60C2×#938C2211yescharacteristic
61C2×#938C2211yescharacteristic
62C2×#938C2211yescharacteristic
63C2×#938C2211yescharacteristic
64C2×#937C2211yescharacteristic
65C2×#935C2211yescharacteristic, complemented
66C2×D4×Dic3C2211yescharacteristic
67C2×#929C2211yescharacteristic, complemented
68C2×#929C2211yescharacteristic, complemented
69C2×C4×#67C2211yescharacteristic, complemented
70C22×C4⋊Dic3C2211yescharacteristic
71#5615—28no—
72C2×#894C2211yescharacteristic, complemented
73C2×#894C2211yescharacteristic, complemented
74C2×#889C2211yescharacteristic, complemented
75C2×#884C2211yescharacteristic, complemented
76C2×#884C2211yescharacteristic, complemented
77C2×#883C2211yescharacteristic, complemented
78C2×#882C2211yescharacteristic
79C2×#67⋊C4C2211yescharacteristic
80C2×#67⋊C4C2211yescharacteristic, complemented
81C2×#67⋊C4C2211yescharacteristic, complemented
82C2×#877C2211yescharacteristic, complemented
83C3×#394C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic, complemented
85C3×#392C2211yescharacteristic, complemented
86C3×#392C2211yescharacteristic, complemented
87C3×#386C2211yescharacteristic
88C3×#386C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic, complemented
90C3×#385C2211yescharacteristic
91C3×#379C2211yescharacteristic
92#5247C2211yescharacteristic
93#5223C2211yescharacteristic, complemented
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5222C2211yescharacteristic, complemented
101#5222C2211yescharacteristic, complemented
102#5222C2211yescharacteristic, complemented
103#5222C2211yescharacteristic, complemented
104#5222C2211yescharacteristic, complemented
105#5220C2211yescharacteristic
106#5220C2211yescharacteristic, complemented
107#5220C2211yescharacteristic, complemented
108#5220C2211yescharacteristic, complemented
109#5220C2211yescharacteristic, complemented
110#5213C2211yescharacteristic
111#5213C2211yescharacteristic, complemented
112#5213C2211yescharacteristic, complemented
113#5213C2211yescharacteristic, complemented
114#5210C2211yescharacteristic
115#5210C2211yescharacteristic, complemented
116C4×#217C2211yescharacteristic, complemented
117#4989C2211yescharacteristic, complemented
118#4989C2211yescharacteristic, complemented
119#4982C2211yescharacteristic, complemented
120#4981C2211yescharacteristic, complemented
121#4980C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4960C2211yescharacteristic, complemented
125#4960C2211yescharacteristic, complemented
126#4960C2211yescharacteristic, complemented
127#4960C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4959C2211yescharacteristic, complemented
130#4959C2211yescharacteristic, complemented
131#4959C2211yescharacteristic, complemented
132#4959C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4958C2211yescharacteristic
137#4958C2211yescharacteristic, complemented
138#4958C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4957C2211yescharacteristic, complemented
143#4957C2211yescharacteristic, complemented
144#4957C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4956C2211yescharacteristic, complemented
147#4956C2211yescharacteristic, complemented
148#4955C2211yescharacteristic
149#4955C2211yescharacteristic
150#4953C2211yescharacteristic, complemented
151#4951C2211yescharacteristic, complemented
152#4949C2211yescharacteristic, complemented
153#4949C2211yescharacteristic, complemented
154#4948C2211yescharacteristic, complemented
155#4946C2211yescharacteristic
156#4946C2211yescharacteristic
157#4946C2211yescharacteristic
158#4946C2211yescharacteristic
159#4945C2211yescharacteristic, complemented
160#4945C2211yescharacteristic, complemented
161#4945C2211yescharacteristic, complemented
162#4945C2211yescharacteristic, complemented
163#4944C2211yescharacteristic, complemented
164#4944C2211yescharacteristic, complemented
165#4944C2211yescharacteristic, complemented
166#4944C2211yescharacteristic, complemented
167#4944C2211yescharacteristic, complemented
168#4943C2211yescharacteristic, complemented
169#4942C2211yescharacteristic
170#4942C2211yescharacteristic, complemented
171Dic3×C22⋊C4C2211yescharacteristic
172Dic3×C22⋊C4C2211yescharacteristic
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174#4674C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4668C2211yescharacteristic, complemented
177#4668C2211yescharacteristic, complemented
178#4666C2211yescharacteristic, complemented
179#4666C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4664C2211yescharacteristic, complemented
183#4664C2211yescharacteristic, complemented
184#4659C2211yescharacteristic, complemented
185#4657C2211yescharacteristic, complemented
186#4657C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#540—31no—
191C22×#121—31no—
192#2849—31no—
193#2711—31no—
194#2701—31no—
195#2699—31no—
196#2688—31no—
197#2673—31no—
198#2673—31no—
199#2671—31no—
200#2671—31no—
201#2661—31no—
202#2635—31no—
203#2476—31no—
204#2473—31no—
205#2464—31no—
206#2464—31no—
207#2443—31no—
208#2433—31no—
209#2428—31no—
210#2424—31no—
211#2418—31no—
212#2410—31no—
213#2410—31no—
214#2410D311yescharacteristic, complemented
215#2408—31no—
216#2405—31no—
217#2358—31no—
218#2342—31no—
219#2333—31no—
220C4×#120—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4—24no—
225C22×C3×D4—42no—
226C22×C3×D4—42no—
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C22×#67—24no—
240C22×#67—24no—
241C22×#67—42no—
242C22×#67—42no—
243C22×#67—42no—
244C22×#67—42no—
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C22×#67C2311yescharacteristic
259C22×#67C2311yescharacteristic
260C22×#67C2311yescharacteristic
261C23×Dic3C2311yescharacteristic
262C23×Dic3C2311yescharacteristic
263C23×Dic3C2311yescharacteristic
264C23×Dic3C2311yescharacteristic
265C23×Dic3C2311yescharacteristic
266C23×Dic3C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×C4×D3—24no—
270C22×C4×D3—42no—
271C22×C4×D3—42no—
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C3×#121—24no—
278C3×#121—42no—
279C3×#120—42no—
280C3×#120—42no—
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299#953—24no—
300#953—42no—
301C2×#217—24no—
302C2×#217—24no—
303C2×#217—24no—
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327C2×#217C2311yescharacteristic
328C2×#217C2311yescharacteristic
329#940—24no—
330#940—42no—
331#939—24no—
332#939—24no—
333#939—24no—
334#939—42no—
335#939—42no—
336#939—42no—
337#938—24no—
338#938—24no—
339#938—24no—
340#938—24no—
341#938—24no—
342#938—24no—
343#938—24no—
344#938D418yescomplemented
345#937—24no—
346#935—24no—
347D4×Dic3—42no—
348#929—24no—
349#929—42no—
350C4×#67—24no—
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×C4⋊Dic3—24no—
370C2×C4⋊Dic3C2311yescharacteristic
371C2×C4⋊Dic3C2311yescharacteristic
372C2×C4⋊Dic3C2311yescharacteristic
373C2×C4⋊Dic3C2311yescharacteristic
374C2×C4⋊Dic3C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×Dic3⋊C4C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391C2×C4×Dic3C2311yescharacteristic
392C2×C4×Dic3C2311yescharacteristic
393C2×C4×Dic3C2311yescharacteristic
394C2×C4×Dic3C2311yescharacteristic
395#894—24no—
396#894—42no—
397#889—24no—
398#884—24no—
399#884—42no—
400#883—24no—
401#882—42no—
402#67⋊C4—24no—
403#67⋊C4—42no—
404#67⋊C4—42no—
405#877—24no—
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3×#95C2311yescharacteristic
409C3×#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
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×D4C2×D311yescharacteristic
435C24×C4—31no—
436#540—68no—
437C2×#127—31no—
438C2×#127—31no—
439C2×#125—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—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×#121—68no—
463C2×#121C2×D311yescharacteristic, complemented
464C2×#121C2×D311yescharacteristic, complemented
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×#120C2×D311yescharacteristic
470C2×#120C2×D311yescharacteristic
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C2×C4×D4—31no—
476C2×#117—31no—
477C22×C4⋊C4—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4—31no—
480C22×C22⋊C4—31no—
481C22×C22⋊C4C2×D311yescharacteristic
482#400—31no—
483#399—31no—
484#399—31no—
485#398—31no—
486#398—31no—
487#398—31no—
488#398—31no—
489#397—31no—
490#397—31no—
491#396—31no—
492#394—31no—
493#394—31no—
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#394C2×D311yescharacteristic, complemented
508#394C2×D311yescharacteristic, complemented
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392C2×D311yescharacteristic, complemented
521#392C2×D311yescharacteristic, complemented
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#389—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#387—31no—
540#387—31no—
541#387—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386C2×D311yescharacteristic
560#386C2×D311yescharacteristic, complemented
561#386C2×D311yescharacteristic, complemented
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#385—31no—
571#385—31no—
572#385—31no—
573#385C2×D311yescharacteristic
574#381—31no—
575#381—31no—
576#381—31no—
577#380—31no—
578#380—31no—
579#379—31no—
580#379—31no—
581#379—31no—
582#379C2×D311yescharacteristic
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C4×C22⋊C4—31no—
587C4×C22⋊C4—31no—
588C4×C22⋊C4—31no—
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—22no—
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—22no—
595C24×C3—22no—
596C24×C3—22no—
597C24×C3—41no—
598C24×C3—41no—
599C24×C3—41no—
600C24×C3—41no—
601C24×C3—41no—
602C24×C3—41no—
603C24×C3C2411yescharacteristic
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C24×C3C2411yescharacteristic
607C24×C3C2411yescharacteristic
608C24×C3C2411yescharacteristic
609C23×D3—22no—
610C23×D3—22no—
611C23×D3—22no—
612C23×D3—22no—
613C23×D3—22no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3C2411yescharacteristic
617C23×D3C2411yescharacteristic
618C23×D3C2411yescharacteristic
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—22no—
623C2×C3×D4—22no—
624C2×C3×D4—22no—
625C2×C3×D4—22no—
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—41no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—416no—
636C2×C3×D4—41no—
637C2×C3×D4—41no—
638C2×C3×D4—41no—
639C2×C3×D4—41no—
640C2×C3×D4—41no—
641C2×C3×D4—41no—
642C2×C3×D4—41no—
643C2×C3×D4—41no—
644C2×C3×D4—41no—
645C2×C3×D4—41no—
646C2×C3×D4C2×D414yes—
647C22×C3×C4—22no—
648C22×C3×C4—22no—
649C22×C3×C4—22no—
650C22×C3×C4—22no—
651C22×C3×C4—41no—
652C22×C3×C4—41no—
653C22×C3×C4—41no—
654C22×C3×C4—41no—
655C22×C3×C4—41no—
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
664C22×C3×C4C2411yescharacteristic
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—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—22no—
681C2×#67—22no—
682C2×#67—22no—
683C2×#67—22no—
684C2×#67—22no—
685C2×#67—22no—
686C2×#67—22no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67—41no—
704C2×#67—41no—
705C2×#67—41no—
706C2×#67—41no—
707C2×#67—41no—
708C2×#67—41no—
709C2×#67—41no—
710C2×#67—41no—
711C2×#67—416no—
712C2×#67—416no—
713C2×#67C2×D414yes—
714C2×#67C2×D414yes—
715C22×Dic3—22no—
716C22×Dic3—22no—
717C22×Dic3—22no—
718C22×Dic3—22no—
719C22×Dic3—22no—
720C22×Dic3—22no—
721C22×Dic3—22no—
722C22×Dic3—22no—
723C22×Dic3—22no—
724C22×Dic3—22no—
725C22×Dic3—41no—
726C22×Dic3—41no—
727C22×Dic3—41no—
728C22×Dic3—41no—
729C22×Dic3—41no—
730C22×Dic3—41no—
731C22×Dic3—41no—
732C22×Dic3—41no—
733C22×Dic3C2411yescharacteristic
734C22×Dic3C2411yescharacteristic
735C22×Dic3C2411yescharacteristic
736C22×Dic3C2411yescharacteristic
737C22×Dic3C2411yescharacteristic
738C22×Dic3C2411yescharacteristic
739C22×Dic3C2411yescharacteristic
740C22×Dic3C2411yescharacteristic
741C22×Dic3C2411yescharacteristic
742C22×Dic3C2411yescharacteristic
743C22×Dic3C2411yescharacteristic
744C22×Dic3C2411yescharacteristic
745C22×Dic3C2411yescharacteristic
746C2×D12—22no—
747C2×D12—22no—
748C2×D12—41no—
749C2×D12—41no—
750C2×D12—41no—
751C2×D12—41no—
752C2×C4×D3—22no—
753C2×C4×D3—22no—
754C2×C4×D3—22no—
755C2×C4×D3—22no—
756C2×C4×D3—22no—
757C2×C4×D3—22no—
758C2×C4×D3—41no—
759C2×C4×D3—41no—
760C2×C4×D3—41no—
761C2×C4×D3—41no—
762C2×C4×D3—41no—
763C2×C4×D3—41no—
764C2×C4×D3—416no—
765C2×C4×D3—41no—
766C2×C4×D3—41no—
767C2×C4×D3C2×D414yes—
768C3×C4⋊C4—22no—
769C3×C4⋊C4—22no—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—41no—
777C3×C22⋊C4—41no—
778C3×C22⋊C4—41no—
779C3×C22⋊C4—41no—
780C3×C22⋊C4—41no—
781C3×C22⋊C4—41no—
782C3×C22⋊C4—41no—
783C3×C22⋊C4—41no—
784C3×C22⋊C4—41no—
785#217—22no—
786#217—22no—
787#217—22no—
788#217—22no—
789#217—22no—
790#217—22no—
791#217—22no—
792#217—22no—
793#217—22no—
794#217—22no—
795#217—22no—
796#217—22no—
797#217—22no—
798#217—22no—
799#217—41no—
800#217—41no—
801#217—41no—
802#217—41no—
803#217—41no—
804#217—41no—
805#217—41no—
806#217—41no—
807#217C2×D414yes—
808#217C2×D414yes—
809#217#4114yes—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—22no—
815(C2×D3)⋊C4—22no—
816(C2×D3)⋊C4—22no—
817(C2×D3)⋊C4—22no—
818(C2×D3)⋊C4—22no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825(C2×D3)⋊C4—41no—
826(C2×D3)⋊C4—41no—
827(C2×D3)⋊C4—41no—
828C4⋊Dic3—22no—
829C4⋊Dic3—22no—
830C4⋊Dic3—22no—
831C4⋊Dic3—41no—
832C4⋊Dic3C2×D414yes—
833Dic3⋊C4—22no—
834Dic3⋊C4—22no—
835Dic3⋊C4—22no—
836Dic3⋊C4—22no—
837Dic3⋊C4—22no—
838Dic3⋊C4—22no—
839Dic3⋊C4—22no—
840Dic3⋊C4—41no—
841Dic3⋊C4—41no—
842Dic3⋊C4—41no—
843Dic3⋊C4—41no—
844Dic3⋊C4—41no—
845Dic3⋊C4—41no—
846Dic3⋊C4—41no—
847C4×Dic3—22no—
848C4×Dic3—22no—
849C4×Dic3—41no—
850C4×Dic3—41no—
851C4×Dic3—41no—
852C4×Dic3—41no—
853C25—31no—
854C25C22×D311yescharacteristic
855C25C22×D311yescharacteristic
856C22×D4—24no—
857C22×D4—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—42no—
876C22×D4—42no—
877C22×D4—64no—
878C22×D4—64no—
879C22×D4—122no—
880C22×D4—122no—
881C22×D4—122no—
882C22×D4—122no—
883C22×D4C22×D311yescharacteristic
884C22×D4C22×D311yescharacteristic
885C22×D4C22×D311yescharacteristic
886C22×D4C22×D311yescharacteristic
887C22×D4C22×D311yescharacteristic
888C22×D4C22×D311yescharacteristic
889C22×D4C22×D311yescharacteristic
890C22×D4C22×D311yescharacteristic
891C22×D4C22×D311yescharacteristic
892C23×C4—31no—
893C23×C4—31no—
894C23×C4—31no—
895C23×C4—31no—
896C23×C4—31no—
897C23×C4—31no—
898C23×C4—31no—
899C23×C4—31no—
900C23×C4—31no—
901C23×C4—31no—
902C23×C4—31no—
903C23×C4—64no—
904C23×C4—122no—
905C23×C4—122no—
906C23×C4C22×D311yescharacteristic
907C23×C4C22×D311yescharacteristic
908C23×C4C22×D311yescharacteristic
909#127—64no—
910#127—122no—
911#125—64no—
912#123—64no—
913#123—64no—
914#123—64no—
915#123—64no—
916#123—122no—
917#123—122no—
918#121—24no—
919#121—38no—
920#121—42no—
921#121—64no—
922#121—64no—
923#121—64no—
924#121—64no—
925#121—64no—
926#121—64no—
927#121—64no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—64no—
932#121—122no—
933#121—122no—
934#121—122no—
935#121—122no—
936#120—42no—
937#120—42no—
938#120—64no—
939#120—64no—
940#120—122no—
941#120—122no—
942C4×D4—64no—
943C4×D4—64no—
944C4×D4—122no—
945C4×D4—122no—
946C4×D4—122no—
947#117—64no—
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⋊C4—31no—
964C2×C4⋊C4—31no—
965C2×C4⋊C4—31no—
966C2×C4⋊C4—31no—
967C2×C4⋊C4—64no—
968C2×C4⋊C4C22×D311yescharacteristic
969C2×C4⋊C4C22×D311yescharacteristic
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—42no—
1014C2×C22⋊C4—64no—
1015C2×C22⋊C4—64no—
1016C2×C22⋊C4—64no—
1017C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
1033C2×C42—31no—
1034C2×C42—31no—
1035C2×C42—31no—
1036C2×C42—31no—
1037C2×C42—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
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—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—21no—
1099C23×C3—21no—
1100C23×C3—21no—
1101C23×C3—44no—
1102C23×C3—44no—
1103C23×C3—44no—
1104C23×C3—44no—
1105C23×C3—44no—
1106C23×C3—44no—
1107C23×C3—44no—
1108C23×C3—44no—
1109C23×C3—82no—
1110C23×C3—82no—
1111C23×C3—82no—
1112C23×C3—82no—
1113C23×C3—82no—
1114C23×C3—82no—
1115C23×C3C22×D412yes—
1116C23×C3C22×D412yes—
1117C23×C3C2×#4112yes—
1118C23×C3H(5,𝔽2)12yes—
1119C23×C3H(5,𝔽2)12yes—
1120C23×C3C2511yescharacteristic
1121C22×D3—28no—
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—21no—
1133C22×D3—21no—
1134C22×D3—21no—
1135C22×D3—21no—
1136C22×D3—21no—
1137C22×D3—21no—
1138C22×D3—21no—
1139C22×D3—21no—
1140C22×D3—21no—
1141C22×D3—44no—
1142C22×D3—44no—
1143C22×D3—44no—
1144C22×D3—44no—
1145C22×D3—44no—
1146C22×D3—44no—
1147C22×D3C22×D412yes—
1148C22×D3H(5,𝔽2)12yes—
1149C3×D4—44no—
1150C3×D4—44no—
1151C3×D4—44no—
1152C3×D4—44no—
1153C3×D4—44no—
1154C3×D4—82no—
1155C3×D4—82no—
1156C3×D4—82no—
1157C3×D4—82no—
1158C2×C3×C4—28no—
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—82no—
1185C2×C3×C4—82no—
1186C2×C3×C4C22×D412yes—
1187C2×C3×C4H(5,𝔽2)12yes—
1188#67—44no—
1189#67—44no—
1190#67—44no—
1191#67—44no—
1192#67—44no—
1193#67—44no—
1194#67—44no—
1195#67—44no—
1196#67—44no—
1197#67—44no—
1198#67—44no—
1199#67—44no—
1200#67—82no—
1201#67—82no—
1202#67—82no—
1203#67—82no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
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—21no—
1234C2×Dic3—21no—
1235C2×Dic3—21no—
1236C2×Dic3—21no—
1237C2×Dic3—21no—
1238C2×Dic3—44no—
1239C2×Dic3—44no—
1240C2×Dic3—44no—
1241C2×Dic3—44no—
1242C2×Dic3—82no—
1243C2×Dic3—82no—
1244C2×Dic3C22×D412yes—
1245C2×Dic3C22×D412yes—
1246C2×Dic3C22×D412yes—
1247C2×Dic3C2×#4112yes—
1248C2×Dic3C2×#4112yes—
1249D12—82no—
1250D12—82no—
1251C4×D3—44no—
1252C4×D3—44no—
1253C4×D3—44no—
1254C4×D3—44no—
1255C4×D3—82no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—31no—
1265C24—31no—
1266C24—31no—
1267C24—41no—
1268C24—41no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—62no—
1274C24—62no—
1275C24—62no—
1276C24—62no—
1277C24—62no—
1278C24—121no—
1279C24—121no—
1280C24C23×D311yescharacteristic
1281C24C23×D311yescharacteristic
1282C24C23×D311yescharacteristic
1283C24C23×D311yescharacteristic
1284C24C23×D311yescharacteristic
1285C24C23×D311yescharacteristic
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—34no—
1297C2×D4—34no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—416no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
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—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
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—121no—
1355C2×D4—121no—
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—1216no—
1368C2×D4—1216no—
1369C2×D4D3×D414yes—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—31no—
1375C22×C4—31no—
1376C22×C4—31no—
1377C22×C4—31no—
1378C22×C4—31no—
1379C22×C4—34no—
1380C22×C4—31no—
1381C22×C4—31no—
1382C22×C4—31no—
1383C22×C4—31no—
1384C22×C4—31no—
1385C22×C4—31no—
1386C22×C4—31no—
1387C22×C4—31no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
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—62no—
1402C22×C4—62no—
1403C22×C4—62no—
1404C22×C4—62no—
1405C22×C4—62no—
1406C22×C4—62no—
1407C22×C4—62no—
1408C22×C4—62no—
1409C22×C4—121no—
1410C22×C4—121no—
1411C22×C4—121no—
1412C22×C4—121no—
1413C22×C4—121no—
1414C22×C4—121no—
1415C22×C4—121no—
1416C22×C4—121no—
1417C22×C4—1216no—
1418C22×C4—121no—
1419C22×C4—121no—
1420C22×C4—121no—
1421C22×C4—121no—
1422C22×C4—121no—
1423C22×C4—121no—
1424C22×C4—121no—
1425C22×C4—121no—
1426C22×C4C23×D311yescharacteristic
1427C22×C4C23×D311yescharacteristic
1428C22×C4C23×D311yescharacteristic
1429C22×C4C23×D311yescharacteristic
1430C22×C4C23×D311yescharacteristic
1431C22×C4C23×D311yescharacteristic
1432C22×C4C23×D311yescharacteristic
1433C22×C4C23×D311yescharacteristic
1434C22×C4C23×D311yescharacteristic
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—34no—
1438C4⋊C4—62no—
1439C4⋊C4—62no—
1440C4⋊C4—62no—
1441C4⋊C4—62no—
1442C4⋊C4—62no—
1443C4⋊C4—62no—
1444C4⋊C4—62no—
1445C4⋊C4—62no—
1446C4⋊C4—62no—
1447C4⋊C4—62no—
1448C4⋊C4—121no—
1449C4⋊C4—121no—
1450C4⋊C4—121no—
1451C4⋊C4—121no—
1452C4⋊C4—121no—
1453C4⋊C4—121no—
1454C4⋊C4—121no—
1455C4⋊C4—121no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—34no—
1463C22⋊C4—34no—
1464C22⋊C4—34no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—62no—
1475C22⋊C4—62no—
1476C22⋊C4—62no—
1477C22⋊C4—62no—
1478C22⋊C4—62no—
1479C22⋊C4—62no—
1480C22⋊C4—62no—
1481C22⋊C4—62no—
1482C22⋊C4—62no—
1483C22⋊C4—62no—
1484C22⋊C4—62no—
1485C22⋊C4—62no—
1486C22⋊C4—62no—
1487C22⋊C4—62no—
1488C22⋊C4—62no—
1489C22⋊C4—62no—
1490C22⋊C4—62no—
1491C22⋊C4—62no—
1492C22⋊C4—62no—
1493C22⋊C4—62no—
1494C22⋊C4—62no—
1495C22⋊C4—62no—
1496C22⋊C4—62no—
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⋊C4—121no—
1506C22⋊C4—121no—
1507C22⋊C4—121no—
1508C22⋊C4—121no—
1509C22⋊C4—121no—
1510C22⋊C4—121no—
1511C22⋊C4—121no—
1512C22⋊C4—121no—
1513C22⋊C4—121no—
1514C42—62no—
1515C42—62no—
1516C42—121no—
1517C42—121no—
1518C42—121no—
1519C42—121no—
1520C22×C3—22no—
1521C22×C3—22no—
1522C22×C3—22no—
1523C22×C3—22no—
1524C22×C3—22no—
1525C22×C3—22no—
1526C22×C3—22no—
1527C22×C3—22no—
1528C22×C3—22no—
1529C22×C3—22no—
1530C22×C3—22no—
1531C22×C3—22no—
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—41no—
1547C22×C3—41no—
1548C22×C3—41no—
1549C22×C3—41no—
1550C22×C3—41no—
1551C22×C3—41no—
1552C22×C3—41no—
1553C22×C3—41no—
1554C22×C3—41no—
1555C22×C3—41no—
1556C22×C3—41no—
1557C22×C3—41no—
1558C22×C3—41no—
1559C22×C3—41no—
1560C22×C3—41no—
1561C22×C3—88no—
1562C22×C3—88no—
1563C22×C3#54014yescomplemented
1564C22×C3C23×D411yescharacteristic
1565C22×C3C22×#4111yescharacteristic
1566C22×C3C2×H(5,𝔽2)11yescharacteristic
1567C22×C3C2×H(5,𝔽2)11yescharacteristic
1568C22×C3C2×H(5,𝔽2)11yescharacteristic
1569C22×C3C2×H(5,𝔽2)11yescharacteristic
1570C22×C3#58511yescharacteristic
1571C2×D3—22no—
1572C2×D3—22no—
1573C2×D3—22no—
1574C2×D3—22no—
1575C2×D3—22no—
1576C2×D3—22no—
1577C2×D3—416no—
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—41no—
1590C2×D3—41no—
1591C2×D3—41no—
1592C2×D3—41no—
1593C3×C4—22no—
1594C3×C4—22no—
1595C3×C4—41no—
1596C3×C4—41no—
1597C3×C4—41no—
1598C3×C4—41no—
1599C3×C4—41no—
1600C3×C4—41no—
1601C3×C4—41no—
1602Dic3—22no—
1603Dic3—22no—
1604Dic3—22no—
1605Dic3—22no—
1606Dic3—22no—
1607Dic3—41no—
1608Dic3—41no—
1609Dic3—41no—
1610Dic3—41no—
1611Dic3—41no—
1612Dic3—41no—
1613Dic3—41no—
1614Dic3—41no—
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—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—32no—
1653C23—32no—
1654C23—44no—
1655C23—44no—
1656C23—44no—
1657C23—44no—
1658C23—44no—
1659C23—44no—
1660C23—44no—
1661C23—44no—
1662C23—68no—
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—61no—
1678C23—61no—
1679C23—61no—
1680C23—61no—
1681C23—61no—
1682C23—82no—
1683C23—82no—
1684C23—82no—
1685C23—82no—
1686C23—82no—
1687C23—82no—
1688C23—124no—
1689C23—124no—
1690C23—124no—
1691C23—124no—
1692C23—124no—
1693C23—124no—
1694C23C2×D3×D412yes—
1695C23C2×D3×D412yes—
1696C23#100412yes—
1697C23#100412yes—
1698C23D3×#4112yes—
1699C23C24×D311yescharacteristic
1700D4—44no—
1701D4—44no—
1702D4—44no—
1703D4—44no—
1704D4—44no—
1705D4—82no—
1706D4—82no—
1707D4—82no—
1708D4—82no—
1709D4—124no—
1710D4—124no—
1711D4—124no—
1712D4—124no—
1713D4—124no—
1714D4—124no—
1715D4—124no—
1716D4—124no—
1717D4—124no—
1718D4—124no—
1719D4—124no—
1720D4—124no—
1721D4—242no—
1722D4—242no—
1723D4—242no—
1724D4—242no—
1725D4—242no—
1726D4—242no—
1727C2×C4—28no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
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—32no—
1754C2×C4—32no—
1755C2×C4—32no—
1756C2×C4—32no—
1757C2×C4—32no—
1758C2×C4—61no—
1759C2×C4—61no—
1760C2×C4—61no—
1761C2×C4—61no—
1762C2×C4—61no—
1763C2×C4—61no—
1764C2×C4—61no—
1765C2×C4—61no—
1766C2×C4—61no—
1767C2×C4—61no—
1768C2×C4—61no—
1769C2×C4—61no—
1770C2×C4—61no—
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—82no—
1793C2×C4—82no—
1794C2×C4—124no—
1795C2×C4—124no—
1796C2×C4—124no—
1797C2×C4—124no—
1798C2×C4—124no—
1799C2×C4—124no—
1800C2×C4—124no—
1801C2×C4—124no—
1802C2×C4—242no—
1803C2×C4—242no—
1804C2×C4—242no—
1805C2×C4C2×D3×D412yes—
1806C2×C4#100412yes—
1807C2×C3—24no—
1808C2×C3—42no—
1809C2×C3—42no—
1810C2×C3—81no—
1811C2×C3—81no—
1812C2×C3—81no—
1813C2×C3C2×#54011yescharacteristic
1814C2×C3D4×#4111yescharacteristic
1815C2×C3#348411yescharacteristic
1816C2×C3#348411yescharacteristic
1817C2×C3#351911yescharacteristic
1818C2×C3#353411yescharacteristic
1819C2×C3#354211yescharacteristic
1820D3—42no—
1821D3—42no—
1822D3—81no—
1823C22—22no—
1824C22—22no—
1825C22—22no—
1826C22—22no—
1827C22—22no—
1828C22—22no—
1829C22—22no—
1830C22—22no—
1831C22—22no—
1832C22—22no—
1833C22—22no—
1834C22—22no—
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—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—62no—
1865C22—62no—
1866C22—62no—
1867C22—62no—
1868C22—62no—
1869C22—62no—
1870C22—88no—
1871C22—88no—
1872C22—1216no—
1873C22—121no—
1874C22—121no—
1875C22—121no—
1876C22—121no—
1877C22—121no—
1878C22—121no—
1879C22—121no—
1880C22—121no—
1881C22—121no—
1882C22—121no—
1883C22—121no—
1884C22—121no—
1885C22—121no—
1886C22—121no—
1887C22—121no—
1888C22#561514yescomplemented
1889C22C22×D3×D411yescharacteristic
1890C22C2×#100411yescharacteristic
1891C22C2×#100411yescharacteristic
1892C22C2×#100411yescharacteristic
1893C22C2×D3×#4111yescharacteristic
1894C22D3×H(5,𝔽2)11yescharacteristic
1895C22#596611yescharacteristic
1896C4—22no—
1897C4—22no—
1898C4—41no—
1899C4—41no—
1900C4—41no—
1901C4—41no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—62no—
1906C4—62no—
1907C4—62no—
1908C4—62no—
1909C4—62no—
1910C4—121no—
1911C4—121no—
1912C4—121no—
1913C4—121no—
1914C4—121no—
1915C4—121no—
1916C4—121no—
1917C4—121no—
1918C3#3772211yescharacteristic, complemented, Sylow
1919C2—24no—
1920C2—42no—
1921C2—42no—
1922C2—81no—
1923C2—81no—
1924C2—81no—
1925C2—122no—
1926C2—122no—
1927C2—241no—
1928C2#8591911yescharacteristic
1929C2C2×#561511yescharacteristic
1930C2#8631111yescharacteristic
1931C2#8661511yescharacteristic
1932C2#8662011yescharacteristic
1933C2#8662611yescharacteristic
1934C2#8664011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2410C2
hypercenter#2410D3
hypocenterC3#37722
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C22×#938C2semidirect
2. C2×#5615C2semidirect
3. C3×#2410C2semidirect
4. #84048C2semidirect
5. #82717C2semidirect
6. #82715C2semidirect
7. #82658C2semidirect
8. #82606C2semidirect
9. #82588C2semidirect
10. #82587C2semidirect
11. #82585C2semidirect
12. #82126C2semidirect
13. #82099C2semidirect
14. #77131C2semidirect
15. #77034C2semidirect
16. #76995C2semidirect
17. #76930C2semidirect
18. #76768C2semidirect
19. #76720C2semidirect
20. #76703C2semidirect
21. #76671C2semidirect
22. #74925C2semidirect
23. #74799C2semidirect
24. #74720C2semidirect
25. #74704C2semidirect
26. #74669C2semidirect
27. #74659C2semidirect
28. #74656C2semidirect
29. #74441C2semidirect
30. #73824C2semidirect
31. #73822C2semidirect
37. C2×C3×#121C22semidirect
38. C2×C3×#121C22semidirect
47. C2×#940C22semidirect
48. C2×#940C22semidirect
50. C2×#939C22semidirect
51. C2×#939C22semidirect
52. C2×#939C22semidirect
53. C2×#939C22semidirect
54. C2×#939C22semidirect
65. C2×#935C22semidirect
67. C2×#929C22semidirect
68. C2×#929C22semidirect
69. C2×C4×#67C22semidirect
72. C2×#894C22semidirect
73. C2×#894C22semidirect
74. C2×#889C22semidirect
75. C2×#884C22semidirect
76. C2×#884C22semidirect
77. C2×#883C22semidirect
80. C2×#67⋊C4C22semidirect
81. C2×#67⋊C4C22semidirect
82. C2×#877C22semidirect
83. C3×#394C22semidirect
84. C3×#394C22semidirect
85. C3×#392C22semidirect
86. C3×#392C22semidirect
88. C3×#386C22semidirect
89. C3×#386C22semidirect
93. #5223C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
100. #5222C22semidirect
101. #5222C22semidirect
102. #5222C22semidirect
103. #5222C22semidirect
104. #5222C22semidirect
106. #5220C22semidirect
107. #5220C22semidirect
108. #5220C22semidirect
109. #5220C22semidirect
111. #5213C22semidirect
112. #5213C22semidirect
113. #5213C22semidirect
115. #5210C22semidirect
116. C4×#217C22semidirect
117. #4989C22semidirect
118. #4989C22semidirect
119. #4982C22semidirect
120. #4981C22semidirect
121. #4980C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
124. #4960C22semidirect
125. #4960C22semidirect
126. #4960C22semidirect
127. #4960C22semidirect
128. #4959C22semidirect
129. #4959C22semidirect
130. #4959C22semidirect
131. #4959C22semidirect
132. #4959C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
135. #4959C22semidirect
137. #4958C22semidirect
138. #4958C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
142. #4957C22semidirect
143. #4957C22semidirect
144. #4957C22semidirect
145. #4956C22semidirect
146. #4956C22semidirect
147. #4956C22semidirect
150. #4953C22semidirect
151. #4951C22semidirect
152. #4949C22semidirect
153. #4949C22semidirect
154. #4948C22semidirect
159. #4945C22semidirect
160. #4945C22semidirect
161. #4945C22semidirect
162. #4945C22semidirect
163. #4944C22semidirect
164. #4944C22semidirect
165. #4944C22semidirect
166. #4944C22semidirect
167. #4944C22semidirect
168. #4943C22semidirect
170. #4942C22semidirect
173. Dic3×C22⋊C4C22semidirect
174. #4674C22semidirect
175. #4668C22semidirect
176. #4668C22semidirect
177. #4668C22semidirect
178. #4666C22semidirect
179. #4666C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4664C22semidirect
183. #4664C22semidirect
184. #4659C22semidirect
185. #4657C22semidirect
186. #4657C22semidirect
187. #4654C22semidirect
188. #4653C22semidirect
189. #4647C22semidirect
214. #2410D3semidirect
344. #938D4semidirect
463. C2×#121C2×D3semidirect
464. C2×#121C2×D3semidirect
507. #394C2×D3semidirect
508. #394C2×D3semidirect
520. #392C2×D3semidirect
521. #392C2×D3semidirect
560. #386C2×D3semidirect
561. #386C2×D3semidirect
1563. C22×C3#540semidirect
1888. C22#5615semidirect
1918. C3#37722semidirect

Maximal subgroups

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

subgroupindex
C22×#9382
C2×#56152
C3×#24102
#840482
#827172
#827152
#826582
#826062
#825882
#825872
#825852
#821262
#820992
#771312
#770342
#769952
#769302
#767682
#767202
#767032
#766712
#749252
#747992
#747202
#747042
#746692
#746592
#746562
#744412
#738242
#738222
#377223