Finite Group Databasebeta

← #11098038

Subgroups — #11098038

Order 768.

2742 conjugacy classes of subgroups.

The subgroup lattice has 1834 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5804C211yesmaximal, characteristic, complemented
2C2×#5591C211yesmaximal, characteristic, complemented
3C3×#2613C211yesmaximal, characteristic, complemented
4C2×#5222C211yesmaximal, characteristic, complemented
5#82846C211yesmaximal, characteristic, complemented
6#82841C211yesmaximal, characteristic, complemented
7#82586C211yesmaximal, characteristic, complemented
8#82584C211yesmaximal, characteristic, complemented
9#82581C211yesmaximal, characteristic, complemented
10#77125C211yesmaximal, characteristic, complemented
11#77110C211yesmaximal, characteristic, complemented
12#77084C211yesmaximal, characteristic, complemented
13#77021C211yesmaximal, characteristic, complemented
14#77020C211yesmaximal, characteristic, complemented
15#77009C211yesmaximal, characteristic, complemented
16#77008C211yesmaximal, characteristic, complemented
17#76998C211yesmaximal, characteristic, complemented
18#76774C211yesmaximal, characteristic, complemented
19#76761C211yesmaximal, characteristic, complemented
20#76720C211yesmaximal, characteristic, complemented
21#76717C211yesmaximal, characteristic, complemented
22#76716C211yesmaximal, characteristic, complemented
23#76710C211yesmaximal, characteristic, complemented
24#76699C211yesmaximal, characteristic, complemented
25#76694C211yesmaximal, characteristic, complemented
26#74075C211yesmaximal, characteristic, complemented
27#74065C211yesmaximal, characteristic, complemented
28#73850C211yesmaximal, characteristic, complemented
29#73834C211yesmaximal, characteristic, complemented
30#73833C211yesmaximal, characteristic, complemented
31#73826C211yesmaximal, characteristic, complemented
32#40508—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C22×#237C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic, complemented
37C2×C3×#120C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic, complemented
39C2×#953C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C22×#217C2211yescharacteristic
42C22×#217C2211yescharacteristic
43C22×#217C2211yescharacteristic
44C22×#217C2211yescharacteristic, complemented
45C22×#217C2211yescharacteristic, complemented
46#5804—28no—
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic
49C2×#939C2211yescharacteristic
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic
52C2×#939C2211yescharacteristic, complemented
53C2×#938C2211yescharacteristic, complemented
54C2×#938C2211yescharacteristic, complemented
55C2×#937C2211yescharacteristic
56C2×#937C2211yescharacteristic
57C2×#937C2211yescharacteristic, complemented
58C2×#935C2211yescharacteristic
59C2×#935C2211yescharacteristic
60C2×#935C2211yescharacteristic, complemented
61C2×D4×Dic3C2211yescharacteristic, complemented
62C2×#929C2211yescharacteristic
63C2×#929C2211yescharacteristic
64C22×Dic3⋊C4C2211yescharacteristic, complemented
65#5591—28no—
66C2×#886C2211yescharacteristic
67C2×#885C2211yescharacteristic, complemented
68C2×#883C2211yescharacteristic, complemented
69C2×#883C2211yescharacteristic, complemented
70C2×#67⋊C4C2211yescharacteristic
71C2×#67⋊C4C2211yescharacteristic
72C2×#67⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic, complemented
75C2×#878C2211yescharacteristic, complemented
76C3×#394C2211yescharacteristic
77C3×#394C2211yescharacteristic
78C3×#394C2211yescharacteristic, complemented
79C3×#394C2211yescharacteristic, complemented
80C3×#392C2211yescharacteristic
81C3×#392C2211yescharacteristic
82C3×#392C2211yescharacteristic, complemented
83C3×#392C2211yescharacteristic, complemented
84C3×#381C2211yescharacteristic, complemented
85C3×#379C2211yescharacteristic
86C3×#379C2211yescharacteristic, complemented
87#5223C2211yescharacteristic, complemented
88#5223C2211yescharacteristic, complemented
89#5223C2211yescharacteristic, complemented
90#5222C2211yescharacteristic
91#5222C2211yescharacteristic
92#5222C2211yescharacteristic
93#5222C2211yescharacteristic
94#5222C2211yescharacteristic, complemented
95#5222C2211yescharacteristic, complemented
96#5222C2211yescharacteristic, complemented
97#5222C2211yescharacteristic, complemented
98#5222C2211yescharacteristic, complemented
99#5222C2211yescharacteristic, complemented
100#5222C2211yescharacteristic, complemented
101#5221C2211yescharacteristic, complemented
102#5220C2211yescharacteristic, complemented
103#5220C2211yescharacteristic, complemented
104#5220C2211yescharacteristic, complemented
105#5220C2211yescharacteristic, complemented
106#5220C2211yescharacteristic, complemented
107C2×C3⋊#95C2211yescharacteristic, complemented
108#4992C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4987C2211yescharacteristic, complemented
112#4983C2211yescharacteristic, complemented
113#4979C2211yescharacteristic, complemented
114#4979C2211yescharacteristic, complemented
115#4972C2211yescharacteristic, complemented
116#4961C2211yescharacteristic, complemented
117#4961C2211yescharacteristic, complemented
118#4961C2211yescharacteristic, complemented
119#4959C2211yescharacteristic, complemented
120#4959C2211yescharacteristic, complemented
121#4959C2211yescharacteristic, complemented
122#4959C2211yescharacteristic, complemented
123#4959C2211yescharacteristic, complemented
124#4958C2211yescharacteristic
125#4958C2211yescharacteristic
126#4957C2211yescharacteristic, complemented
127#4957C2211yescharacteristic, complemented
128#4956C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4956C2211yescharacteristic, complemented
131#4956C2211yescharacteristic, complemented
132#4956C2211yescharacteristic, complemented
133#4956C2211yescharacteristic, complemented
134#4956C2211yescharacteristic, complemented
135#4956C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4955C2211yescharacteristic, complemented
138#4953C2211yescharacteristic, complemented
139#4953C2211yescharacteristic, complemented
140#4953C2211yescharacteristic, complemented
141#4953C2211yescharacteristic, complemented
142#4952C2211yescharacteristic, complemented
143#4952C2211yescharacteristic, complemented
144#4952C2211yescharacteristic, complemented
145#4951C2211yescharacteristic, complemented
146#4951C2211yescharacteristic, complemented
147#4951C2211yescharacteristic, complemented
148#4950C2211yescharacteristic, complemented
149#4950C2211yescharacteristic, complemented
150#4950C2211yescharacteristic, complemented
151#4950C2211yescharacteristic, complemented
152#4949C2211yescharacteristic, complemented
153#4948C2211yescharacteristic, complemented
154#4948C2211yescharacteristic, complemented
155#4948C2211yescharacteristic, complemented
156#4948C2211yescharacteristic, complemented
157#4947C2211yescharacteristic, complemented
158#4947C2211yescharacteristic, complemented
159#4946C2211yescharacteristic, complemented
160#4946C2211yescharacteristic, complemented
161#4946C2211yescharacteristic, complemented
162#4945C2211yescharacteristic, complemented
163#4944C2211yescharacteristic, complemented
164#4944C2211yescharacteristic, complemented
165#4943C2211yescharacteristic, complemented
166#4943C2211yescharacteristic, complemented
167#4943C2211yescharacteristic, complemented
168#4943C2211yescharacteristic, complemented
169#4943C2211yescharacteristic, complemented
170#4942C2211yescharacteristic, complemented
171#4942C2211yescharacteristic, complemented
172#4942C2211yescharacteristic, complemented
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174#4675C2211yescharacteristic, complemented
175#4675C2211yescharacteristic, complemented
176#4675C2211yescharacteristic, complemented
177#4674C2211yescharacteristic, complemented
178#4668C2211yescharacteristic, complemented
179#4667C2211yescharacteristic, complemented
180#4667C2211yescharacteristic, complemented
181#4664C2211yescharacteristic, complemented
182#4658C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4657C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#534—31no—
192#2814—31no—
193#2812—31no—
194#2701—31no—
195#2701—31no—
196#2699—31no—
197#2688—31no—
198#2686—31no—
199#2686—31no—
200#2682—31no—
201#2671—31no—
202#2663—31no—
203#2630—31no—
204#2622—31no—
205#2617—31no—
206#2613D311yescharacteristic, complemented
207#2602—31no—
208#2534—31no—
209#2486—31no—
210#2483—31no—
211#2425—31no—
212#2424—31no—
213#2419—31no—
214#2418—31no—
215#2412—31no—
216#2412—31no—
217#2406—31no—
218#2404—31no—
219C2×#394—31no—
220D4×C22⋊C4—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
237C22×#67—42no—
238C22×#67—42no—
239C22×#67D418yescomplemented
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C23×Dic3C2311yescharacteristic
258C2×#237—24no—
259C2×#237—42no—
260C2×#237—42no—
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×Dic6C2311yescharacteristic
266C3×#123—42no—
267C3×#120—24no—
268C3×#120—42no—
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×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
288#953—24no—
289#953—24no—
290C2×#217—24no—
291C2×#217—24no—
292C2×#217—42no—
293C2×#217—42no—
294C2×#217—42no—
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
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
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324#939—24no—
325#939—24no—
326#939—24no—
327#939—24no—
328#939—24no—
329#939—24no—
330#938—24no—
331#938—42no—
332#937—24no—
333#937—24no—
334#937—24no—
335#935—24no—
336#935—24no—
337#935—42no—
338D4×Dic3—24no—
339#929—24no—
340#929—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×Dic3⋊C4—42no—
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×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381#886—24no—
382#885—24no—
383#883—24no—
384#883—42no—
385#67⋊C4—24no—
386#67⋊C4—42no—
387#67⋊C4—42no—
388D3×C22⋊C4—24no—
389D3×C22⋊C4—42no—
390#878—24no—
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3×#95C2311yescharacteristic
394C3×#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C23×D4—31no—
425C23×D4C2×D311yescharacteristic
426#546—68no—
427#534—68no—
428C2×#124—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123C2×D311yescharacteristic, complemented
438C2×C22⋊Q8—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×#120—31no—
451C2×#120—31no—
452C2×#120C2×D311yescharacteristic
453C2×#120C2×D311yescharacteristic, complemented
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C22×C4⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466#400—31no—
467#399—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#395—31no—
489#395—31no—
490#394—31no—
491#394—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#394—31no—
508#394—31no—
509#394C2×D311yescharacteristic
510#394C2×D311yescharacteristic
511#394C2×D311yescharacteristic, complemented
512#394C2×D311yescharacteristic, complemented
513#393—31no—
514#393—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392C2×D311yescharacteristic
519#392C2×D311yescharacteristic
520#392C2×D311yescharacteristic, complemented
521#392C2×D311yescharacteristic, complemented
522#390—31no—
523#390—31no—
524#390—31no—
525#389—31no—
526#389—31no—
527#389—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#387—31no—
535#387—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#381—31no—
563#381—31no—
564#381—31no—
565#381—31no—
566#381—31no—
567#381—31no—
568#381C2×D311yescharacteristic, complemented
569#380—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#379—31no—
576#379C2×D311yescharacteristic
577#379C2×D311yescharacteristic, complemented
578C4×C22⋊C4—31no—
579C2×#95—31no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3—41no—
588C24×C3—41no—
589C24×C3—41no—
590C24×C3—41no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3C2×D414yes—
594C24×C3C2411yescharacteristic
595C24×C3C2411yescharacteristic
596C24×C3C2411yescharacteristic
597C24×C3C2411yescharacteristic
598C24×C3C2411yescharacteristic
599C24×C3C2411yescharacteristic
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3C2×D414yes—
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4—41no—
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—41no—
636C2×C3×D4—416no—
637C22×C3×C4—22no—
638C22×C3×C4—22no—
639C22×C3×C4—22no—
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
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—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—416no—
676C2×#67C2×D414yes—
677C2×#67C2×D414yes—
678C2×#67C2×D414yes—
679C2×#67C2×D414yes—
680C22×Dic3—22no—
681C22×Dic3—22no—
682C22×Dic3—22no—
683C22×Dic3—22no—
684C22×Dic3—22no—
685C22×Dic3—22no—
686C22×Dic3—22no—
687C22×Dic3—22no—
688C22×Dic3—22no—
689C22×Dic3—22no—
690C22×Dic3—41no—
691C22×Dic3—41no—
692C22×Dic3—41no—
693C22×Dic3—41no—
694C22×Dic3—41no—
695C22×Dic3—41no—
696C22×Dic3—41no—
697C22×Dic3—41no—
698C22×Dic3—41no—
699C22×Dic3—41no—
700C22×Dic3—41no—
701C22×Dic3—41no—
702C22×Dic3—41no—
703C22×Dic3C2×D414yes—
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713C22×Dic3C2411yescharacteristic
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718#237—416no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—41no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C2×C4×D3—41no—
727C2×C4×D3—41no—
728C2×C4×D3—41no—
729C2×C4×D3—41no—
730C2×C4×D3—41no—
731C2×Dic6—22no—
732C2×Dic6—41no—
733C2×Dic6—41no—
734C3×C4⋊C4—41no—
735C3×C4⋊C4—41no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—41no—
742C3×C22⋊C4—41no—
743C3×C22⋊C4—41no—
744C3×C22⋊C4—41no—
745C3×C22⋊C4—41no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4—41no—
750C3×C22⋊C4—41no—
751C3×C22⋊C4—41no—
752C3×C22⋊C4—41no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—22no—
757#217—22no—
758#217—22no—
759#217—22no—
760#217—22no—
761#217—22no—
762#217—22no—
763#217—22no—
764#217—22no—
765#217—22no—
766#217—22no—
767#217—22no—
768#217—22no—
769#217—22no—
770#217—22no—
771#217—41no—
772#217—41no—
773#217—41no—
774#217—41no—
775#217—41no—
776#217—41no—
777#217—41no—
778#217—41no—
779#217—41no—
780#217—41no—
781#217—41no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796C4⋊Dic3—22no—
797C4⋊Dic3—22no—
798C4⋊Dic3—41no—
799C4⋊Dic3—41no—
800C4⋊Dic3—41no—
801C4⋊Dic3—41no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—41no—
810Dic3⋊C4—41no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818C4×Dic3—22no—
819C4×Dic3—41no—
820C4×Dic3—41no—
821C25—31no—
822C25C22×D311yescharacteristic
823C25C22×D311yescharacteristic
824C2×#41—64no—
825C2×#41—122no—
826C2×#41—122no—
827C22×Q8—31no—
828C22×D4—24no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—38no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—42no—
841C22×D4—42no—
842C22×D4—122no—
843C22×D4—122no—
844C22×D4C22×D311yescharacteristic
845C22×D4C22×D311yescharacteristic
846C22×D4C22×D311yescharacteristic
847C22×D4C22×D311yescharacteristic
848C22×D4C22×D311yescharacteristic
849C22×D4C22×D311yescharacteristic
850C22×D4C22×D311yescharacteristic
851C22×D4C22×D311yescharacteristic
852C22×D4C22×D311yescharacteristic
853C23×C4—31no—
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—31no—
864C23×C4—31no—
865C23×C4C22×D311yescharacteristic
866#124—64no—
867#123—42no—
868#123—64no—
869#123—64no—
870#123—64no—
871#123—64no—
872#123—64no—
873#123—64no—
874#123—122no—
875#123—122no—
876C22⋊Q8—64no—
877#121—64no—
878#121—64no—
879#121—64no—
880#121—64no—
881#121—64no—
882#121—64no—
883#121—64no—
884#121—122no—
885#120—24no—
886#120—42no—
887#120—64no—
888#120—64no—
889#120—64no—
890#120—64no—
891#120—64no—
892C4×D4—64no—
893C4×D4—64no—
894C4×D4—122no—
895C4×D4—122no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—122no—
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—64no—
965C2×C22⋊C4—64no—
966C2×C22⋊C4—64no—
967C2×C22⋊C4—122no—
968C2×C22⋊C4—122no—
969C2×C22⋊C4—122no—
970C2×C22⋊C4—122no—
971C2×C22⋊C4C22×D311yescharacteristic
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C42—31no—
989C2×C42—31no—
990C2×C42—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95C22×D311yescharacteristic
1020#95C22×D311yescharacteristic
1021#95C22×D311yescharacteristic
1022#95C22×D311yescharacteristic
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—28no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—44no—
1062C23×C3—44no—
1063C23×C3—44no—
1064C23×C3—44no—
1065C23×C3—44no—
1066C23×C3—82no—
1067C23×C3—82no—
1068C23×C3—82no—
1069C23×C3—82no—
1070C23×C3—82no—
1071C23×C3—82no—
1072C23×C3—82no—
1073C23×C3—82no—
1074C23×C3C22×D412yes—
1075C23×C3C22×D412yes—
1076C23×C3C22×D412yes—
1077C23×C3H(5,𝔽2)12yes—
1078C23×C3H(5,𝔽2)12yes—
1079C23×C3C2511yescharacteristic
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—44no—
1093C22×D3—44no—
1094C22×D3—44no—
1095C22×D3—82no—
1096C22×D3—82no—
1097C22×D3—82no—
1098C22×D3—82no—
1099C22×D3C22×D412yes—
1100C22×D3C22×D412yes—
1101C3×D4—44no—
1102C3×D4—44no—
1103C3×D4—44no—
1104C3×D4—44no—
1105C3×D4—44no—
1106C3×D4—44no—
1107C3×D4—82no—
1108C3×D4—82no—
1109C3×D4—82no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—44no—
1138#67—28no—
1139#67—28no—
1140#67—44no—
1141#67—44no—
1142#67—44no—
1143#67—82no—
1144#67—82no—
1145#67—82no—
1146#67—82no—
1147#67—82no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—44no—
1188C2×Dic3—44no—
1189C2×Dic3—44no—
1190C2×Dic3—44no—
1191C2×Dic3—82no—
1192C2×Dic3—82no—
1193C2×Dic3—82no—
1194C2×Dic3—82no—
1195C2×Dic3C22×D412yes—
1196C2×Dic3C22×D412yes—
1197C2×Dic3H(5,𝔽2)12yes—
1198C4×D3—44no—
1199C4×D3—82no—
1200C4×D3—82no—
1201C4×D3—82no—
1202Dic6—44no—
1203C24—22no—
1204C24—22no—
1205C24—22no—
1206C24—22no—
1207C24—22no—
1208C24—31no—
1209C24—31no—
1210C24—34no—
1211C24—41no—
1212C24—41no—
1213C24—41no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—41no—
1219C24—121no—
1220C24—121no—
1221C24—121no—
1222C24—121no—
1223C24—121no—
1224C24—121no—
1225C24D3×D414yes—
1226C24C23×D311yescharacteristic
1227C24C23×D311yescharacteristic
1228C24C23×D311yescharacteristic
1229C24C23×D311yescharacteristic
1230C24C23×D311yescharacteristic
1231C24C23×D311yescharacteristic
1232#41—1216no—
1233C2×Q8—62no—
1234C2×Q8—121no—
1235C2×Q8—121no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—34no—
1246C2×D4—34no—
1247C2×D4—34no—
1248C2×D4—34no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—416no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—1216no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—31no—
1299C22×C4—31no—
1300C22×C4—31no—
1301C22×C4—34no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—31no—
1307C22×C4—31no—
1308C22×C4—31no—
1309C22×C4—31no—
1310C22×C4—31no—
1311C22×C4—31no—
1312C22×C4—31no—
1313C22×C4—62no—
1314C22×C4—62no—
1315C22×C4—62no—
1316C22×C4—62no—
1317C22×C4—62no—
1318C22×C4—62no—
1319C22×C4—62no—
1320C22×C4—62no—
1321C22×C4—62no—
1322C22×C4—62no—
1323C22×C4—62no—
1324C22×C4—62no—
1325C22×C4—62no—
1326C22×C4—121no—
1327C22×C4—121no—
1328C22×C4—121no—
1329C22×C4—121no—
1330C22×C4—121no—
1331C22×C4—121no—
1332C22×C4—121no—
1333C22×C4—121no—
1334C22×C4—121no—
1335C22×C4—121no—
1336C22×C4—121no—
1337C22×C4—121no—
1338C22×C4—121no—
1339C22×C4—121no—
1340C22×C4—121no—
1341C22×C4—121no—
1342C22×C4—121no—
1343C22×C4—121no—
1344C22×C4—121no—
1345C22×C4—121no—
1346C22×C4—121no—
1347C22×C4—121no—
1348C22×C4C23×D311yescharacteristic
1349C22×C4C23×D311yescharacteristic
1350C22×C4C23×D311yescharacteristic
1351C22×C4C23×D311yescharacteristic
1352C22×C4C23×D311yescharacteristic
1353C22×C4C23×D311yescharacteristic
1354C22×C4C23×D311yescharacteristic
1355C22×C4C23×D311yescharacteristic
1356C22×C4C23×D311yescharacteristic
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—62no—
1360C4⋊C4—62no—
1361C4⋊C4—62no—
1362C4⋊C4—62no—
1363C4⋊C4—62no—
1364C4⋊C4—62no—
1365C4⋊C4—62no—
1366C4⋊C4—62no—
1367C4⋊C4—62no—
1368C4⋊C4—121no—
1369C4⋊C4—121no—
1370C4⋊C4—121no—
1371C4⋊C4—121no—
1372C4⋊C4—121no—
1373C4⋊C4—121no—
1374C4⋊C4—121no—
1375C4⋊C4—121no—
1376C4⋊C4—121no—
1377C4⋊C4—121no—
1378C4⋊C4—121no—
1379C4⋊C4—121no—
1380C4⋊C4—121no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
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—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
1413C22⋊C4—62no—
1414C22⋊C4—62no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C22⋊C4—121no—
1438C22⋊C4—121no—
1439C22⋊C4—121no—
1440C22⋊C4—121no—
1441C42—62no—
1442C42—121no—
1443C42—121no—
1444C22×C3—22no—
1445C22×C3—22no—
1446C22×C3—22no—
1447C22×C3—22no—
1448C22×C3—22no—
1449C22×C3—22no—
1450C22×C3—22no—
1451C22×C3—22no—
1452C22×C3—22no—
1453C22×C3—22no—
1454C22×C3—22no—
1455C22×C3—22no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3—41no—
1459C22×C3—41no—
1460C22×C3—41no—
1461C22×C3—41no—
1462C22×C3—41no—
1463C22×C3—41no—
1464C22×C3—41no—
1465C22×C3—41no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3—41no—
1479C22×C3—41no—
1480C22×C3—41no—
1481C22×C3—41no—
1482C22×C3—41no—
1483C22×C3—41no—
1484C22×C3—41no—
1485C22×C3—88no—
1486C22×C3—88no—
1487C22×C3#53414yes—
1488C22×C3C23×D411yescharacteristic
1489C22×C3C2×H(5,𝔽2)11yescharacteristic
1490C22×C3C2×H(5,𝔽2)11yescharacteristic
1491C22×C3C2×H(5,𝔽2)11yescharacteristic
1492C22×C3#58511yescharacteristic
1493C22×C3#58511yescharacteristic
1494C22×C3#58511yescharacteristic
1495C2×D3—22no—
1496C2×D3—22no—
1497C2×D3—22no—
1498C2×D3—22no—
1499C2×D3—22no—
1500C2×D3—22no—
1501C2×D3—41no—
1502C2×D3—41no—
1503C2×D3—41no—
1504C2×D3—41no—
1505C2×D3—41no—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—88no—
1510C3×C4—41no—
1511C3×C4—41no—
1512C3×C4—41no—
1513C3×C4—41no—
1514C3×C4—41no—
1515C3×C4—41no—
1516C3×C4—41no—
1517C3×C4—41no—
1518C3×C4—41no—
1519Dic3—22no—
1520Dic3—22no—
1521Dic3—22no—
1522Dic3—41no—
1523Dic3—41no—
1524Dic3—41no—
1525Dic3—41no—
1526Dic3—41no—
1527Dic3—41no—
1528Dic3—41no—
1529Dic3—41no—
1530Dic3—41no—
1531Dic3—41no—
1532Dic3—41no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—28no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—32no—
1572C23—32no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—82no—
1591C23—82no—
1592C23—82no—
1593C23—82no—
1594C23—82no—
1595C23—82no—
1596C23—82no—
1597C23—82no—
1598C23—124no—
1599C23—124no—
1600C23—124no—
1601C23—242no—
1602C23—242no—
1603C23—242no—
1604C23—242no—
1605C23C2×D3×D412yes—
1606C23C2×D3×D412yes—
1607C23C2×D3×D412yes—
1608C23#100412yes—
1609C23#100412yes—
1610C23C24×D311yescharacteristic
1611Q8—124no—
1612D4—44no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—44no—
1618D4—68no—
1619D4—68no—
1620D4—82no—
1621D4—82no—
1622D4—82no—
1623D4—124no—
1624D4—124no—
1625D4—124no—
1626D4—242no—
1627D4—242no—
1628D4—242no—
1629D4—242no—
1630D4—242no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—32no—
1659C2×C4—32no—
1660C2×C4—32no—
1661C2×C4—44no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—124no—
1702C2×C4—124no—
1703C2×C4—124no—
1704C2×C4—124no—
1705C2×C4—124no—
1706C2×C4—242no—
1707C2×C4—242no—
1708C2×C4—242no—
1709C2×C4—242no—
1710C2×C4—242no—
1711C2×C4—242no—
1712C2×C4—242no—
1713C2×C3—24no—
1714C2×C3—42no—
1715C2×C3—42no—
1716C2×C3—81no—
1717C2×C3—81no—
1718C2×C3—81no—
1719C2×C3C2×#53411yescharacteristic
1720C2×C3#348511yescharacteristic
1721C2×C3#349611yescharacteristic
1722C2×C3#353311yescharacteristic
1723C2×C3#353411yescharacteristic
1724C2×C3#354211yescharacteristic
1725C2×C3#354511yescharacteristic
1726D3—42no—
1727D3—42no—
1728C22—22no—
1729C22—22no—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—62no—
1770C22—62no—
1771C22—62no—
1772C22—62no—
1773C22—62no—
1774C22—62no—
1775C22—88no—
1776C22—88no—
1777C22—121no—
1778C22—121no—
1779C22—121no—
1780C22—121no—
1781C22—121no—
1782C22—121no—
1783C22—121no—
1784C22—121no—
1785C22—248no—
1786C22#558914yes—
1787C22C22×D3×D411yescharacteristic
1788C22C2×#100411yescharacteristic
1789C22C2×#100411yescharacteristic
1790C22D3×H(5,𝔽2)11yescharacteristic
1791C22#596611yescharacteristic
1792C22#596611yescharacteristic
1793C22#596611yescharacteristic
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—62no—
1804C4—62no—
1805C4—62no—
1806C4—121no—
1807C4—121no—
1808C4—121no—
1809C4—121no—
1810C4—121no—
1811C4—121no—
1812C4—121no—
1813C4—121no—
1814C4—121no—
1815C4—121no—
1816C4—121no—
1817C3#4050811yescharacteristic, complemented, Sylow
1818C2—24no—
1819C2—42no—
1820C2—42no—
1821C2—81no—
1822C2—81no—
1823C2—81no—
1824C2—122no—
1825C2—122no—
1826C2C2×#558911yescharacteristic
1827C2#8629611yescharacteristic
1828C2#8629811yescharacteristic
1829C2#8630411yescharacteristic
1830C2#8631111yescharacteristic
1831C2#8632111yescharacteristic
1832C2#8632311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2613C2
hypercenter#2613D3
hypocenterC3#40508
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2613

Complements

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

NH ≅ G/Ntype
1. C2×#5804C2semidirect
2. C2×#5591C2semidirect
3. C3×#2613C2semidirect
4. C2×#5222C2semidirect
5. #82846C2semidirect
6. #82841C2semidirect
7. #82586C2semidirect
8. #82584C2semidirect
9. #82581C2semidirect
10. #77125C2semidirect
11. #77110C2semidirect
12. #77084C2semidirect
13. #77021C2semidirect
14. #77020C2semidirect
15. #77009C2semidirect
16. #77008C2semidirect
17. #76998C2semidirect
18. #76774C2semidirect
19. #76761C2semidirect
20. #76720C2semidirect
21. #76717C2semidirect
22. #76716C2semidirect
23. #76710C2semidirect
24. #76699C2semidirect
25. #76694C2semidirect
26. #74075C2semidirect
27. #74065C2semidirect
28. #73850C2semidirect
29. #73834C2semidirect
30. #73833C2semidirect
31. #73826C2semidirect
36. C2×C3×#123C22semidirect
38. C2×C3×#120C22semidirect
44. C22×#217C22semidirect
45. C22×#217C22semidirect
52. C2×#939C22semidirect
53. C2×#938C22semidirect
54. C2×#938C22semidirect
57. C2×#937C22semidirect
60. C2×#935C22semidirect
61. C2×D4×Dic3C22semidirect
64. C22×Dic3⋊C4C22semidirect
67. C2×#885C22semidirect
68. C2×#883C22semidirect
69. C2×#883C22semidirect
73. C2×D3×C22⋊C4C22semidirect
74. C2×D3×C22⋊C4C22semidirect
75. C2×#878C22semidirect
78. C3×#394C22semidirect
79. C3×#394C22semidirect
82. C3×#392C22semidirect
83. C3×#392C22semidirect
84. C3×#381C22semidirect
86. C3×#379C22semidirect
87. #5223C22semidirect
88. #5223C22semidirect
89. #5223C22semidirect
94. #5222C22semidirect
95. #5222C22semidirect
96. #5222C22semidirect
97. #5222C22semidirect
98. #5222C22semidirect
99. #5222C22semidirect
100. #5222C22semidirect
101. #5221C22semidirect
102. #5220C22semidirect
103. #5220C22semidirect
104. #5220C22semidirect
105. #5220C22semidirect
106. #5220C22semidirect
107. C2×C3⋊#95C22semidirect
108. #4992C22semidirect
109. #4989C22semidirect
110. #4989C22semidirect
111. #4987C22semidirect
112. #4983C22semidirect
113. #4979C22semidirect
114. #4979C22semidirect
115. #4972C22semidirect
116. #4961C22semidirect
117. #4961C22semidirect
118. #4961C22semidirect
119. #4959C22semidirect
120. #4959C22semidirect
121. #4959C22semidirect
122. #4959C22semidirect
123. #4959C22semidirect
126. #4957C22semidirect
127. #4957C22semidirect
128. #4956C22semidirect
129. #4956C22semidirect
130. #4956C22semidirect
131. #4956C22semidirect
132. #4956C22semidirect
133. #4956C22semidirect
134. #4956C22semidirect
135. #4956C22semidirect
136. #4956C22semidirect
137. #4955C22semidirect
138. #4953C22semidirect
139. #4953C22semidirect
140. #4953C22semidirect
141. #4953C22semidirect
142. #4952C22semidirect
143. #4952C22semidirect
144. #4952C22semidirect
145. #4951C22semidirect
146. #4951C22semidirect
147. #4951C22semidirect
148. #4950C22semidirect
149. #4950C22semidirect
150. #4950C22semidirect
151. #4950C22semidirect
152. #4949C22semidirect
153. #4948C22semidirect
154. #4948C22semidirect
155. #4948C22semidirect
156. #4948C22semidirect
157. #4947C22semidirect
158. #4947C22semidirect
159. #4946C22semidirect
160. #4946C22semidirect
161. #4946C22semidirect
162. #4945C22semidirect
163. #4944C22semidirect
164. #4944C22semidirect
165. #4943C22semidirect
166. #4943C22semidirect
167. #4943C22semidirect
168. #4943C22semidirect
169. #4943C22semidirect
170. #4942C22semidirect
171. #4942C22semidirect
172. #4942C22semidirect
173. Dic3×C22⋊C4C22semidirect
174. #4675C22semidirect
175. #4675C22semidirect
176. #4675C22semidirect
177. #4674C22semidirect
178. #4668C22semidirect
179. #4667C22semidirect
180. #4667C22semidirect
181. #4664C22semidirect
182. #4658C22semidirect
183. #4657C22semidirect
184. #4657C22semidirect
185. #4657C22semidirect
186. #4654C22semidirect
187. #4652C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
206. #2613D3semidirect
239. C22×#67D4semidirect
437. C2×#123C2×D3semidirect
453. C2×#120C2×D3semidirect
511. #394C2×D3semidirect
512. #394C2×D3semidirect
520. #392C2×D3semidirect
521. #392C2×D3semidirect
568. #381C2×D3semidirect
577. #379C2×D3semidirect
1817. C3#40508semidirect

Maximal subgroups

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

subgroupindex
C2×#58042
C2×#55912
C3×#26132
C2×#52222
#828462
#828412
#825862
#825842
#825812
#771252
#771102
#770842
#770212
#770202
#770092
#770082
#769982
#767742
#767612
#767202
#767172
#767162
#767102
#766992
#766942
#740752
#740652
#738502
#738342
#738332
#738262
#405083