Finite Group Databasebeta

← #11029180

Subgroups — #11029180

Order 768.

2884 conjugacy classes of subgroups.

The subgroup lattice has 1798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5829C211yesmaximal, characteristic, complemented
2C2×#5610C211yesmaximal, characteristic, complemented
3C3×#2430C211yesmaximal, characteristic, complemented
4#84090C211yesmaximal, characteristic, complemented
5#82895C211yesmaximal, characteristic, complemented
6#82841C211yesmaximal, characteristic, complemented
7#82723C211yesmaximal, characteristic, complemented
8#82655C211yesmaximal, characteristic, complemented
9#82651C211yesmaximal, characteristic, complemented
10#77268C211yesmaximal, characteristic, complemented
11#77258C211yesmaximal, characteristic, complemented
12#77110C211yesmaximal, characteristic, complemented
13#77009C211yesmaximal, characteristic, complemented
14#76877C211yesmaximal, characteristic, complemented
15#76869C211yesmaximal, characteristic, complemented
16#76761C211yesmaximal, characteristic, complemented
17#76710C211yesmaximal, characteristic, complemented
18#74926C211yesmaximal, characteristic, complemented
19#74913C211yesmaximal, characteristic, complemented
20#74877C211yesmaximal, characteristic, complemented
21D3×#386C211yesmaximal, characteristic, complemented
22#74702C211yesmaximal, characteristic, complemented
23#74694C211yesmaximal, characteristic, complemented
24#74690C211yesmaximal, characteristic, complemented
25#74690C211yesmaximal, characteristic, complemented
26#74640C211yesmaximal, characteristic, complemented
27#74639C211yesmaximal, characteristic, complemented
28#74615C211yesmaximal, characteristic, complemented
29#74591C211yesmaximal, characteristic, complemented
30#73375C211yesmaximal, characteristic, complemented
31C2×#4667C211yesmaximal, characteristic, complemented
32#37860—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic
39C2×C3×#121C2211yescharacteristic, complemented
40#5829—28no—
41C2×#947C2211yescharacteristic
42C2×#946C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#938C2211yescharacteristic
47C2×#938C2211yescharacteristic, complemented
48C2×#937C2211yescharacteristic
49C2×#937C2211yescharacteristic
50C2×#937C2211yescharacteristic
51C2×#937C2211yescharacteristic
52C2×#935C2211yescharacteristic
53C2×#935C2211yescharacteristic, complemented
54C2×#935C2211yescharacteristic, complemented
55C2×D4×Dic3C2211yescharacteristic
56C2×#930C2211yescharacteristic
57C2×#929C2211yescharacteristic
58C2×#929C2211yescharacteristic
59C2×C4×#67C2211yescharacteristic
60C2×C4×#67C2211yescharacteristic
61C22×(C2×D3)⋊C4C2211yescharacteristic
62C22×(C2×D3)⋊C4C2211yescharacteristic
63C22×(C2×D3)⋊C4C2211yescharacteristic
64C22×Dic3⋊C4C2211yescharacteristic, complemented
65C22×Dic3⋊C4C2211yescharacteristic, complemented
66#5610—28no—
67C2×#896C2211yescharacteristic
68C2×#894C2211yescharacteristic
69C2×#885C2211yescharacteristic
70C2×#884C2211yescharacteristic
71C2×#883C2211yescharacteristic, complemented
72C2×#67⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×D3×C22⋊C4C2211yescharacteristic
76C2×D3×C22⋊C4C2211yescharacteristic
77C3×#395C2211yescharacteristic, complemented
78C3×#394C2211yescharacteristic, complemented
79C3×#393C2211yescharacteristic, complemented
80C3×#392C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic, complemented
85C3×#385C2211yescharacteristic, complemented
86C3×#385C2211yescharacteristic, complemented
87C2×C3×#95C2211yescharacteristic, complemented
88#5230C2211yescharacteristic, complemented
89#5230C2211yescharacteristic, complemented
90#5223C2211yescharacteristic, complemented
91#5222C2211yescharacteristic, complemented
92#5222C2211yescharacteristic, complemented
93#5222C2211yescharacteristic, complemented
94#5220C2211yescharacteristic
95#5220C2211yescharacteristic, complemented
96#5220C2211yescharacteristic, complemented
97#5220C2211yescharacteristic, complemented
98#5220C2211yescharacteristic, complemented
99#5213C2211yescharacteristic
100#5212C2211yescharacteristic, complemented
101#5211C2211yescharacteristic, complemented
102#5210C2211yescharacteristic, complemented
103#5210C2211yescharacteristic, complemented
104#5210C2211yescharacteristic, complemented
105#5210C2211yescharacteristic, complemented
106#5210C2211yescharacteristic, complemented
107C2×C3⋊#95C2211yescharacteristic, complemented
108#4992C2211yescharacteristic, complemented
109#4992C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4989C2211yescharacteristic, complemented
113#4987C2211yescharacteristic
114#4987C2211yescharacteristic
115#4987C2211yescharacteristic
116#4987C2211yescharacteristic, complemented
117#4981C2211yescharacteristic, complemented
118#4979C2211yescharacteristic, complemented
119#4979C2211yescharacteristic, complemented
120#4979C2211yescharacteristic, complemented
121#4978C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4959C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4959C2211yescharacteristic, complemented
127#4959C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4959C2211yescharacteristic, complemented
130#4958C2211yescharacteristic
131#4956C2211yescharacteristic
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic
135#4956C2211yescharacteristic
136#4956C2211yescharacteristic
137#4956C2211yescharacteristic
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4956C2211yescharacteristic, complemented
142#4953C2211yescharacteristic, complemented
143#4953C2211yescharacteristic, complemented
144#4952C2211yescharacteristic, complemented
145#4950C2211yescharacteristic, complemented
146#4950C2211yescharacteristic, complemented
147#4949C2211yescharacteristic, complemented
148#4949C2211yescharacteristic, complemented
149#4947C2211yescharacteristic, complemented
150#4946C2211yescharacteristic, complemented
151#4946C2211yescharacteristic, complemented
152#4946C2211yescharacteristic, complemented
153#4946C2211yescharacteristic, complemented
154#4945C2211yescharacteristic, complemented
155#4944C2211yescharacteristic, complemented
156#4943C2211yescharacteristic, complemented
157#4943C2211yescharacteristic, complemented
158#4675C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4675C2211yescharacteristic, complemented
161#4675C2211yescharacteristic, complemented
162#4674C2211yescharacteristic, complemented
163#4668C2211yescharacteristic, complemented
164#4668C2211yescharacteristic, complemented
165#4667C2211yescharacteristic
166#4667C2211yescharacteristic
167#4667C2211yescharacteristic
168#4667C2211yescharacteristic
169#4667C2211yescharacteristic
170#4667C2211yescharacteristic
171#4667C2211yescharacteristic, complemented
172#4667C2211yescharacteristic, complemented
173#4667C2211yescharacteristic, complemented
174#4667C2211yescharacteristic, complemented
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4664C2211yescharacteristic, complemented
178D3×#95C2211yescharacteristic
179D3×#95C2211yescharacteristic
180#4661C2211yescharacteristic, complemented
181#4659C2211yescharacteristic, complemented
182#4658C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4652C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#546—31no—
192#2847—31no—
193#2717—31no—
194#2717—31no—
195#2708—31no—
196#2708—31no—
197#2686—31no—
198#2686—31no—
199#2671—31no—
200#2671—31no—
201#2659—31no—
202#2617—31no—
203#2564—31no—
204#2564—31no—
205#2443—31no—
206#2443—31no—
207#2430—31no—
208#2430D311yescharacteristic, complemented
209#2419—31no—
210#2419—31no—
211#2412—31no—
212#2412—31no—
213#2412—31no—
214#2412—31no—
215#2406—31no—
216#2406—31no—
217#2325—31no—
218#2315—31no—
219C2×#386—31no—
220C2×#380—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C2×C3×#41—24no—
224C2×C3×#41—42no—
225C2×C3×#41—42no—
226C22×C3×Q8C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C2×#237—24no—
252C2×#237—42no—
253C2×#237—42no—
254C2×D3×D4—42no—
255C2×D3×D4—42no—
256C2×D3×D4D418yescomplemented
257C22×D12C2311yescharacteristic
258C22×C4×D3—24no—
259C22×C4×D3—42no—
260C22×C4×D3—42no—
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C3×#123—42no—
272C3×#121—24no—
273C3×#121—42no—
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊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×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306#947—24no—
307#946—24no—
308#939—24no—
309#939—24no—
310#939—24no—
311#938—24no—
312#938—42no—
313#937—24no—
314#937—24no—
315#937—24no—
316#937—24no—
317#935—24no—
318#935—42no—
319#935—42no—
320D4×Dic3—24no—
321#930—24no—
322#929—24no—
323#929—24no—
324C4×#67—24no—
325C4×#67—24no—
326C2×(C2×D3)⋊C4—24no—
327C2×(C2×D3)⋊C4—24no—
328C2×(C2×D3)⋊C4—24no—
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×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×Dic3⋊C4—42no—
357C2×Dic3⋊C4—42no—
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×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378#896—24no—
379#894—24no—
380#885—24no—
381#884—24no—
382#883—42no—
383#67⋊C4—24no—
384D3×C22⋊C4—24no—
385D3×C22⋊C4—24no—
386D3×C22⋊C4—42no—
387D3×C22⋊C4—42no—
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3×#95C2311yescharacteristic
394C3×#95C2311yescharacteristic
395C3×#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C22×#41—31no—
427C22×#41C2×D311yescharacteristic
428C23×D4—31no—
429C24×C4—31no—
430#546—68no—
431#546—68no—
432C2×#124—31no—
433C2×#124—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123C2×D311yescharacteristic, complemented
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121C2×D311yescharacteristic
452C2×#121C2×D311yescharacteristic, complemented
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C22×C4⋊C4—31no—
462C22×C4⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470#400—31no—
471#400—31no—
472#399—31no—
473#399—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#395—31no—
489#395—31no—
490#395—31no—
491#395—31no—
492#395—31no—
493#395C2×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#394C2×D311yescharacteristic, complemented
506#393—31no—
507#393C2×D311yescharacteristic, complemented
508#392—31no—
509#392C2×D311yescharacteristic, complemented
510#388—31no—
511#388—31no—
512#387—31no—
513#387—31no—
514#387—31no—
515#387—31no—
516#387—31no—
517#387—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386C2×D311yescharacteristic
539#386C2×D311yescharacteristic, complemented
540#386C2×D311yescharacteristic, complemented
541#386C2×D311yescharacteristic, complemented
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385C2×D311yescharacteristic, complemented
559#385C2×D311yescharacteristic, complemented
560#381—31no—
561#381—31no—
562#381—31no—
563#381—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#380—31no—
577#380—31no—
578#380—31no—
579C2×#95—31no—
580C2×#95—31no—
581C2×#95—31no—
582C2×#95C2×D311yescharacteristic, complemented
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C24×C3C2411yescharacteristic
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3C2×D414yes—
600C23×D3C2×D414yes—
601C23×D3C2411yescharacteristic
602C23×D3C2411yescharacteristic
603C23×D3C2411yescharacteristic
604C3×#41—416no—
605C2×C3×Q8—22no—
606C2×C3×Q8—41no—
607C2×C3×Q8—41no—
608C2×C3×D4—22no—
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—22no—
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×D4C2×D414yes—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
636C22×C3×C4—41no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
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—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×#67C2×D414yes—
675C2×#67C2×D414yes—
676C22×Dic3—22no—
677C22×Dic3—22no—
678C22×Dic3—22no—
679C22×Dic3—22no—
680C22×Dic3—22no—
681C22×Dic3—22no—
682C22×Dic3—22no—
683C22×Dic3—22no—
684C22×Dic3—22no—
685C22×Dic3—41no—
686C22×Dic3—41no—
687C22×Dic3—41no—
688C22×Dic3—41no—
689C22×Dic3—41no—
690C22×Dic3—41no—
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704#237—416no—
705D3×D4—416no—
706C2×D12—41no—
707C2×D12—41no—
708C2×D12C2×D414yes—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—22no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
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—416no—
729C2×C4×D3—41no—
730C2×C4×D3—41no—
731C2×C4×D3—41no—
732C2×C4×D3—41no—
733C2×C4×D3—41no—
734C2×C4×D3—41no—
735C2×C4×D3C2×D414yes—
736C2×C4×D3#4114yescomplemented
737C2×Dic6—22no—
738C2×Dic6—41no—
739C2×Dic6—41no—
740C3×C4⋊C4—22no—
741C3×C4⋊C4—41no—
742C3×C4⋊C4—41no—
743C3×C4⋊C4—41no—
744C3×C22⋊C4—22no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—22no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4—41no—
750C3×C22⋊C4—41no—
751C3×C22⋊C4—41no—
752C3×C22⋊C4—41no—
753C3×C22⋊C4—41no—
754C3×C22⋊C4—41no—
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—41no—
769#217—41no—
770#217—41no—
771#217—41no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
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—
794C4⋊Dic3—22no—
795C4⋊Dic3—22no—
796C4⋊Dic3—41no—
797C4⋊Dic3—41no—
798C4⋊Dic3—41no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—41no—
808Dic3⋊C4—41no—
809Dic3⋊C4—41no—
810Dic3⋊C4—41no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
817C4×Dic3—22no—
818C4×Dic3—22no—
819C25—31no—
820C25—31no—
821C2×#41—24no—
822C2×#41—42no—
823C2×#41—42no—
824C2×#41—64no—
825C2×#41—122no—
826C2×#41—122no—
827C22×Q8—31no—
828C22×Q8C22×D311yescharacteristic
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—122no—
840C22×D4—122no—
841C22×D4C22×D311yescharacteristic
842C22×D4C22×D311yescharacteristic
843C22×D4C22×D311yescharacteristic
844C22×D4C22×D311yescharacteristic
845C22×D4C22×D311yescharacteristic
846C22×D4C22×D311yescharacteristic
847C23×C4—31no—
848C23×C4—31no—
849C23×C4—31no—
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
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—64no—
862C23×C4—122no—
863C23×C4—122no—
864C23×C4C22×D311yescharacteristic
865C23×C4C22×D311yescharacteristic
866C23×C4C22×D311yescharacteristic
867C23×C4C22×D311yescharacteristic
868C23×C4C22×D311yescharacteristic
869#124—64no—
870#124—64no—
871#123—42no—
872#123—64no—
873#123—64no—
874#123—64no—
875#123—64no—
876#123—122no—
877#123—122no—
878#123—122no—
879C22⋊Q8—64no—
880C22⋊Q8—64no—
881#121—24no—
882#121—42no—
883#121—64no—
884#121—64no—
885#121—64no—
886#121—64no—
887#121—64no—
888#121—64no—
889#121—122no—
890#120—64no—
891#120—64no—
892#120—64no—
893#120—64no—
894C4×D4—64no—
895C4×D4—64no—
896C4×D4—64no—
897C4×D4—64no—
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—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—122no—
922C2×C4⋊C4—122no—
923C2×C4⋊C4C22×D311yescharacteristic
924C2×C4⋊C4C22×D311yescharacteristic
925C2×C4⋊C4C22×D311yescharacteristic
926C2×C4⋊C4C22×D311yescharacteristic
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—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—64no—
967C2×C22⋊C4—64no—
968C2×C22⋊C4—64no—
969C2×C22⋊C4—64no—
970C2×C22⋊C4—64no—
971C2×C22⋊C4—122no—
972C2×C22⋊C4—122no—
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×C42—31no—
985C2×C42—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—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#95C22×D311yescharacteristic
1017#95C22×D311yescharacteristic
1018#95C22×D311yescharacteristic
1019#95C22×D311yescharacteristic
1020#95C22×D311yescharacteristic
1021#95C22×D311yescharacteristic
1022#95C22×D311yescharacteristic
1023#95C22×D311yescharacteristic
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—21no—
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×C3C22×D412yes—
1049C23×C3C22×D412yes—
1050C23×C3H(5,𝔽2)12yes—
1051C23×C3H(5,𝔽2)12yes—
1052C23×C3C2511yescharacteristic
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—28no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—28no—
1071C22×D3—28no—
1072C22×D3—44no—
1073C22×D3—44no—
1074C22×D3—44no—
1075C22×D3—44no—
1076C22×D3—44no—
1077C22×D3—44no—
1078C22×D3—44no—
1079C22×D3—82no—
1080C22×D3—82no—
1081C22×D3—82no—
1082C22×D3—82no—
1083C22×D3C22×D412yes—
1084C22×D3C22×D412yes—
1085C22×D3C22×D412yes—
1086C22×D3C2×#4112yes—
1087C22×D32−1+412yes—
1088C3×Q8—44no—
1089C3×D4—28no—
1090C3×D4—44no—
1091C3×D4—44no—
1092C3×D4—44no—
1093C3×D4—82no—
1094C3×D4—82no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
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—44no—
1127C2×C3×C4—44no—
1128C2×C3×C4—44no—
1129C2×C3×C4—44no—
1130C2×C3×C4—82no—
1131C2×C3×C4C22×D412yes—
1132C2×C3×C4C2×#4112yes—
1133#67—28no—
1134#67—44no—
1135#67—44no—
1136#67—44no—
1137#67—44no—
1138#67—82no—
1139#67—82no—
1140#67—82no—
1141C2×Dic3—28no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
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—44no—
1179C2×Dic3—44no—
1180C2×Dic3—82no—
1181C2×Dic3—82no—
1182C2×Dic3C22×D412yes—
1183C2×Dic3C2×#4112yes—
1184C2×Dic3H(5,𝔽2)12yes—
1185D12—44no—
1186C4×D3—44no—
1187C4×D3—44no—
1188C4×D3—44no—
1189C4×D3—44no—
1190C4×D3—44no—
1191C4×D3—44no—
1192C4×D3—82no—
1193C4×D3—82no—
1194C4×D3—82no—
1195Dic6—44no—
1196C24—31no—
1197C24—31no—
1198C24—31no—
1199C24—34no—
1200C24—34no—
1201C24—62no—
1202C24—62no—
1203C24—62no—
1204C24—62no—
1205C24—62no—
1206C24—62no—
1207C24—121no—
1208C24—121no—
1209C24—121no—
1210C24—121no—
1211C24—121no—
1212C24—121no—
1213C24C23×D311yescharacteristic
1214C24C23×D311yescharacteristic
1215C24C23×D311yescharacteristic
1216C24C23×D311yescharacteristic
1217#41—416no—
1218#41—1216no—
1219C2×Q8—22no—
1220C2×Q8—41no—
1221C2×Q8—41no—
1222C2×Q8—62no—
1223C2×Q8—121no—
1224C2×Q8—121no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—34no—
1237C2×D4—34no—
1238C2×D4—34no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—121no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—121no—
1265C2×D4—121no—
1266C2×D4—121no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—1216no—
1270C2×D4D3×D414yes—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—31no—
1280C22×C4—31no—
1281C22×C4—31no—
1282C22×C4—34no—
1283C22×C4—34no—
1284C22×C4—31no—
1285C22×C4—31no—
1286C22×C4—31no—
1287C22×C4—31no—
1288C22×C4—31no—
1289C22×C4—31no—
1290C22×C4—31no—
1291C22×C4—31no—
1292C22×C4—31no—
1293C22×C4—31no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—62no—
1302C22×C4—62no—
1303C22×C4—62no—
1304C22×C4—62no—
1305C22×C4—62no—
1306C22×C4—62no—
1307C22×C4—62no—
1308C22×C4—62no—
1309C22×C4—62no—
1310C22×C4—62no—
1311C22×C4—62no—
1312C22×C4—62no—
1313C22×C4—62no—
1314C22×C4—62no—
1315C22×C4—62no—
1316C22×C4—62no—
1317C22×C4—62no—
1318C22×C4—62no—
1319C22×C4—121no—
1320C22×C4—121no—
1321C22×C4—121no—
1322C22×C4—121no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4—121no—
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—1216no—
1336C22×C4—121no—
1337C22×C4—121no—
1338C22×C4—121no—
1339C22×C4—121no—
1340C22×C4—121no—
1341C22×C4—121no—
1342C22×C4C23×D311yescharacteristic
1343C22×C4C23×D311yescharacteristic
1344C22×C4C23×D311yescharacteristic
1345C22×C4C23×D311yescharacteristic
1346C22×C4C23×D311yescharacteristic
1347C22×C4C23×D311yescharacteristic
1348C22×C4C23×D311yescharacteristic
1349C22×C4C23×D311yescharacteristic
1350C22×C4C23×D311yescharacteristic
1351C22×C4C23×D311yescharacteristic
1352C22×C4C23×D311yescharacteristic
1353C4⋊C4—22no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—62no—
1358C4⋊C4—62no—
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—121no—
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—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
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—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—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C42—62no—
1431C42—62no—
1432C22×C3—22no—
1433C22×C3—22no—
1434C22×C3—22no—
1435C22×C3—22no—
1436C22×C3—22no—
1437C22×C3—22no—
1438C22×C3—22no—
1439C22×C3—22no—
1440C22×C3—22no—
1441C22×C3—41no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3—41no—
1459C22×C3#53414yes—
1460C22×C3C23×D411yescharacteristic
1461C22×C3C22×#4111yescharacteristic
1462C22×C3C2×H(5,𝔽2)11yescharacteristic
1463C22×C3C2×H(5,𝔽2)11yescharacteristic
1464C22×C3C2×H(5,𝔽2)11yescharacteristic
1465C22×C3C2×2−1+411yescharacteristic
1466C22×C3#58511yescharacteristic
1467C2×D3—22no—
1468C2×D3—22no—
1469C2×D3—22no—
1470C2×D3—22no—
1471C2×D3—22no—
1472C2×D3—22no—
1473C2×D3—22no—
1474C2×D3—22no—
1475C2×D3—22no—
1476C2×D3—22no—
1477C2×D3—22no—
1478C2×D3—22no—
1479C2×D3—416no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—88no—
1489C2×D3#54714yes—
1490C3×C4—22no—
1491C3×C4—22no—
1492C3×C4—41no—
1493C3×C4—41no—
1494C3×C4—41no—
1495C3×C4—41no—
1496C3×C4—41no—
1497C3×C4—41no—
1498C3×C4—41no—
1499C3×C4—41no—
1500C3×C4—41no—
1501Dic3—22no—
1502Dic3—22no—
1503Dic3—22no—
1504Dic3—41no—
1505Dic3—41no—
1506Dic3—41no—
1507Dic3—41no—
1508Dic3—41no—
1509Dic3—41no—
1510Dic3—41no—
1511Dic3—41no—
1512Dic3—41no—
1513Dic3—41no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—32no—
1539C23—32no—
1540C23—32no—
1541C23—32no—
1542C23—32no—
1543C23—68no—
1544C23—68no—
1545C23—61no—
1546C23—61no—
1547C23—61no—
1548C23—61no—
1549C23—61no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—68no—
1562C23—124no—
1563C23—124no—
1564C23—124no—
1565C23—124no—
1566C23—124no—
1567C23—124no—
1568C23—124no—
1569C23—242no—
1570C23—242no—
1571C23—242no—
1572C23—242no—
1573C23C2×D3×D412yes—
1574C23C2×D3×D412yes—
1575C23#100412yes—
1576C23#100412yes—
1577C23C24×D311yescharacteristic
1578Q8—44no—
1579Q8—124no—
1580D4—28no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—68no—
1585D4—82no—
1586D4—82no—
1587D4—124no—
1588D4—124no—
1589D4—124no—
1590D4—124no—
1591D4—124no—
1592D4—242no—
1593D4—242no—
1594D4—242no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—32no—
1627C2×C4—32no—
1628C2×C4—32no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—68no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—61no—
1655C2×C4—61no—
1656C2×C4—61no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
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—82no—
1671C2×C4—124no—
1672C2×C4—124no—
1673C2×C4—124no—
1674C2×C4—124no—
1675C2×C4—124no—
1676C2×C4—124no—
1677C2×C4—124no—
1678C2×C4—124no—
1679C2×C4—242no—
1680C2×C4—242no—
1681C2×C4—242no—
1682C2×C4—242no—
1683C2×C4—242no—
1684C2×C4C2×D3×D412yes—
1685C2×C4D3×#4112yes—
1686C2×C3—24no—
1687C2×C3—42no—
1688C2×C3—81no—
1689C2×C3—81no—
1690C2×C3C2×#53411yescharacteristic
1691C2×C3C2×#54711yescharacteristic
1692C2×C3#349011yescharacteristic
1693C2×C3#349411yescharacteristic
1694C2×C3#349611yescharacteristic
1695C2×C3#353511yescharacteristic
1696C2×C3#353611yescharacteristic
1697D3—24no—
1698D3—42no—
1699D3—42no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—34no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—62no—
1729C22—62no—
1730C22—62no—
1731C22—62no—
1732C22—62no—
1733C22—62no—
1734C22—62no—
1735C22—62no—
1736C22—62no—
1737C22—62no—
1738C22—62no—
1739C22—62no—
1740C22—1216no—
1741C22—121no—
1742C22—121no—
1743C22—121no—
1744C22—121no—
1745C22—121no—
1746C22—121no—
1747C22—121no—
1748C22—121no—
1749C22—248no—
1750C22#558914yes—
1751C22C22×D3×D411yescharacteristic
1752C22C2×#100411yescharacteristic
1753C22C2×#100411yescharacteristic
1754C22C2×D3×#4111yescharacteristic
1755C22#596411yescharacteristic
1756C22D3×H(5,𝔽2)11yescharacteristic
1757C22D3×2−1+411yescharacteristic
1758C4—22no—
1759C4—22no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—62no—
1770C4—62no—
1771C4—62no—
1772C4—121no—
1773C4—121no—
1774C4—121no—
1775C4—121no—
1776C4—121no—
1777C4—121no—
1778C4—121no—
1779C4—121no—
1780C4—121no—
1781C4—121no—
1782C3#3786011yescharacteristic, complemented, Sylow
1783C2—24no—
1784C2—42no—
1785C2—64no—
1786C2—81no—
1787C2—81no—
1788C2—122no—
1789C2—122no—
1790C2C2×#558911yescharacteristic
1791C2#8624011yescharacteristic
1792C2#8637011yescharacteristic
1793C2#8666411yescharacteristic
1794C2#8666511yescharacteristic
1795C2#8668911yescharacteristic
1796C2D3×#54711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2430C2
hypercenter#2430D3
hypocenterC3#37860
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2430

Complements

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

NH ≅ G/Ntype
1. C2×#5829C2semidirect
2. C2×#5610C2semidirect
3. C3×#2430C2semidirect
4. #84090C2semidirect
5. #82895C2semidirect
6. #82841C2semidirect
7. #82723C2semidirect
8. #82655C2semidirect
9. #82651C2semidirect
10. #77268C2semidirect
11. #77258C2semidirect
12. #77110C2semidirect
13. #77009C2semidirect
14. #76877C2semidirect
15. #76869C2semidirect
16. #76761C2semidirect
17. #76710C2semidirect
18. #74926C2semidirect
19. #74913C2semidirect
20. #74877C2semidirect
21. D3×#386C2semidirect
22. #74702C2semidirect
23. #74694C2semidirect
24. #74690C2semidirect
25. #74690C2semidirect
26. #74640C2semidirect
27. #74639C2semidirect
28. #74615C2semidirect
29. #74591C2semidirect
30. #73375C2semidirect
31. C2×#4667C2semidirect
37. C2×C3×#123C22semidirect
39. C2×C3×#121C22semidirect
47. C2×#938C22semidirect
53. C2×#935C22semidirect
54. C2×#935C22semidirect
64. C22×Dic3⋊C4C22semidirect
65. C22×Dic3⋊C4C22semidirect
71. C2×#883C22semidirect
77. C3×#395C22semidirect
78. C3×#394C22semidirect
79. C3×#393C22semidirect
80. C3×#392C22semidirect
82. C3×#386C22semidirect
83. C3×#386C22semidirect
84. C3×#386C22semidirect
85. C3×#385C22semidirect
86. C3×#385C22semidirect
87. C2×C3×#95C22semidirect
88. #5230C22semidirect
89. #5230C22semidirect
90. #5223C22semidirect
91. #5222C22semidirect
92. #5222C22semidirect
93. #5222C22semidirect
95. #5220C22semidirect
96. #5220C22semidirect
97. #5220C22semidirect
98. #5220C22semidirect
100. #5212C22semidirect
101. #5211C22semidirect
102. #5210C22semidirect
103. #5210C22semidirect
104. #5210C22semidirect
105. #5210C22semidirect
106. #5210C22semidirect
107. C2×C3⋊#95C22semidirect
108. #4992C22semidirect
109. #4992C22semidirect
110. #4989C22semidirect
111. #4989C22semidirect
112. #4989C22semidirect
116. #4987C22semidirect
117. #4981C22semidirect
118. #4979C22semidirect
119. #4979C22semidirect
120. #4979C22semidirect
121. #4978C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
124. #4959C22semidirect
125. #4959C22semidirect
126. #4959C22semidirect
127. #4959C22semidirect
128. #4959C22semidirect
129. #4959C22semidirect
139. #4956C22semidirect
140. #4956C22semidirect
141. #4956C22semidirect
142. #4953C22semidirect
143. #4953C22semidirect
144. #4952C22semidirect
145. #4950C22semidirect
146. #4950C22semidirect
147. #4949C22semidirect
148. #4949C22semidirect
149. #4947C22semidirect
150. #4946C22semidirect
151. #4946C22semidirect
152. #4946C22semidirect
153. #4946C22semidirect
154. #4945C22semidirect
155. #4944C22semidirect
156. #4943C22semidirect
157. #4943C22semidirect
158. #4675C22semidirect
159. #4675C22semidirect
160. #4675C22semidirect
161. #4675C22semidirect
162. #4674C22semidirect
163. #4668C22semidirect
164. #4668C22semidirect
171. #4667C22semidirect
172. #4667C22semidirect
173. #4667C22semidirect
174. #4667C22semidirect
177. #4664C22semidirect
180. #4661C22semidirect
181. #4659C22semidirect
182. #4658C22semidirect
183. #4657C22semidirect
184. #4657C22semidirect
185. #4654C22semidirect
186. #4653C22semidirect
187. #4653C22semidirect
188. #4652C22semidirect
189. #4652C22semidirect
208. #2430D3semidirect
256. C2×D3×D4D4semidirect
441. C2×#123C2×D3semidirect
452. C2×#121C2×D3semidirect
493. #395C2×D3semidirect
505. #394C2×D3semidirect
507. #393C2×D3semidirect
509. #392C2×D3semidirect
539. #386C2×D3semidirect
540. #386C2×D3semidirect
541. #386C2×D3semidirect
558. #385C2×D3semidirect
559. #385C2×D3semidirect
582. C2×#95C2×D3semidirect
736. C2×C4×D3#41semidirect
1782. C3#37860semidirect

Maximal subgroups

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

subgroupindex
C2×#58292
C2×#56102
C3×#24302
#840902
#828952
#828412
#827232
#826552
#826512
#772682
#772582
#771102
#770092
#768772
#768692
#767612
#767102
#749262
#749132
#748772
D3×#3862
#747022
#746942
#746902
#746402
#746392
#746152
#745912
#733752
C2×#46672
#378603