Finite Group Databasebeta

← #10963990

Subgroups — #10963990

Order 768.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#529C211yesmaximal, characteristic, complemented
2C2×D3×#117C211yesmaximal, characteristic, complemented
3#83082C211yesmaximal, characteristic, complemented
4#83081C211yesmaximal, characteristic, complemented
5#83080C211yesmaximal, characteristic, complemented
6#83079C211yesmaximal, characteristic, complemented
7#83033C211yesmaximal, characteristic, complemented
8#83032C211yesmaximal, characteristic, complemented
9#82966C211yesmaximal, characteristic, complemented
10#82965C211yesmaximal, characteristic, complemented
11#82897C211yesmaximal, characteristic, complemented
12#82896C211yesmaximal, characteristic, complemented
13#82855C211yesmaximal, characteristic, complemented
14#82854C211yesmaximal, characteristic, complemented
15#82817C211yesmaximal, characteristic, complemented
16#82770C211yesmaximal, characteristic, complemented
17#82707C211yesmaximal, characteristic
18#82660C211yesmaximal, characteristic, complemented
19#82491C211yesmaximal, characteristic, complemented
20C4×#946C211yesmaximal, characteristic, complemented
21#82401C211yesmaximal, characteristic, complemented
22C4×#938C211yesmaximal, characteristic, complemented
23C4×#937C211yesmaximal, characteristic, complemented
24C4×#937C211yesmaximal, characteristic, complemented
25#82346C211yesmaximal, characteristic, complemented
26#82346C211yesmaximal, characteristic, complemented
27#82268C211yesmaximal, characteristic, complemented
28#82229C211yesmaximal, characteristic, complemented
29#82225C211yesmaximal, characteristic, complemented
30#82065C211yesmaximal, characteristic, complemented
31C42×#67C211yesmaximal, characteristic, complemented
32#34740—31nomaximal, Sylow
33C23×C4×D3C2211yescharacteristic
34C3×#529—28no—
35C2×C3×#126C2211yescharacteristic
36C2×C3×#126C2211yescharacteristic, complemented
37C2×C3×#125C2211yescharacteristic, complemented
38C2×C3×#124C2211yescharacteristic
39C2×C3×#123C2211yescharacteristic
40C2×C3×#123C2211yescharacteristic, complemented
41C2×C3×C22⋊Q8C2211yescharacteristic, complemented
42C2×C3×#121C2211yescharacteristic
43C2×C3×C4×Q8C2211yescharacteristic, complemented
44C2×C3×C4×D4C2211yescharacteristic
45C2×C3×C4×D4C2211yescharacteristic
46C2×C3×C4×D4C2211yescharacteristic, complemented
47C2×C3×#117C2211yescharacteristic
48C2×C3×#117C2211yescharacteristic, complemented
49C22×C3×C42C2211yescharacteristic, complemented
50C2×#946C2211yescharacteristic
51C2×#938C2211yescharacteristic
52C2×#937C2211yescharacteristic
53C2×#937C2211yescharacteristic
54C2×C4×#67C2211yescharacteristic
55C2×C4×#67C2211yescharacteristic
56C2×C4×#67C2211yescharacteristic
57C2×C4×#67C2211yescharacteristic
58C2×C4×#67C2211yescharacteristic
59C2×C4×#67C2211yescharacteristic
60C2×#926C2211yescharacteristic
61D3×#117—28no—
62C2×#892C2211yescharacteristic
63C2×#892C2211yescharacteristic
64C2×D3×C4⋊C4C2211yescharacteristic
65C2×D3×C4⋊C4C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×#877C2211yescharacteristic
69C2×#877C2211yescharacteristic
70C2×#872C2211yescharacteristic
71C2×#872C2211yescharacteristic
72C2×C42×D3C2211yescharacteristic
73C2×C42×D3C2211yescharacteristic
74#5231C2211yescharacteristic
75#5230C2211yescharacteristic, complemented
76#5229C2211yescharacteristic, complemented
77#5223C2211yescharacteristic
78#5222C2211yescharacteristic
79#5222C2211yescharacteristic
80#5222C2211yescharacteristic
81#5222C2211yescharacteristic
82#5222C2211yescharacteristic, complemented
83#5221C2211yescharacteristic, complemented
84#5220C2211yescharacteristic
85#5220C2211yescharacteristic
86#5213C2211yescharacteristic
87#5213C2211yescharacteristic
88#5210C2211yescharacteristic, complemented
89#5210C2211yescharacteristic, complemented
90C4×#217C2211yescharacteristic
91C4×#217C2211yescharacteristic
92C4×#217C2211yescharacteristic, complemented
93C4×#217C2211yescharacteristic, complemented
94C4×#217C2211yescharacteristic, complemented
95C4×#217C2211yescharacteristic, complemented
96C4×#217C2211yescharacteristic, complemented
97C4×#217C2211yescharacteristic, complemented
98#4994C2211yescharacteristic
99#4994C2211yescharacteristic
100#4993C2211yescharacteristic
101#4992C2211yescharacteristic
102#4990C2211yescharacteristic
103#4990C2211yescharacteristic
104#4989C2211yescharacteristic
105#4989C2211yescharacteristic
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic
110#4989C2211yescharacteristic
111#4989C2211yescharacteristic
112#4987C2211yescharacteristic
113#4987C2211yescharacteristic
114#4986C2211yescharacteristic, complemented
115#4986C2211yescharacteristic, complemented
116#4985C2211yescharacteristic, complemented
117#4983C2211yescharacteristic, complemented
118#4982C2211yescharacteristic, complemented
119#4982C2211yescharacteristic, complemented
120#4981C2211yescharacteristic, complemented
121#4981C2211yescharacteristic, complemented
122#4980C2211yescharacteristic, complemented
123#4980C2211yescharacteristic, complemented
124#4980C2211yescharacteristic, complemented
125#4980C2211yescharacteristic, complemented
126#4978C2211yescharacteristic, complemented
127#4978C2211yescharacteristic, complemented
128#4978C2211yescharacteristic, complemented
129#4978C2211yescharacteristic, complemented
130#4976C2211yescharacteristic, complemented
131#4976C2211yescharacteristic, complemented
132#4972C2211yescharacteristic, complemented
133#4972C2211yescharacteristic, complemented
134#4961C2211yescharacteristic
135#4961C2211yescharacteristic
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic
142#4956C2211yescharacteristic
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic
145#4956C2211yescharacteristic
146#4955C2211yescharacteristic
147#4955C2211yescharacteristic
148#4953C2211yescharacteristic, complemented
149#4953C2211yescharacteristic, complemented
150#4952C2211yescharacteristic
151#4952C2211yescharacteristic
152#4952C2211yescharacteristic
153#4952C2211yescharacteristic
154#4951C2211yescharacteristic
155#4951C2211yescharacteristic
156#4951C2211yescharacteristic
157#4951C2211yescharacteristic
158#4949C2211yescharacteristic, complemented
159#4949C2211yescharacteristic, complemented
160#4948C2211yescharacteristic, complemented
161#4948C2211yescharacteristic, complemented
162#4946C2211yescharacteristic
163#4946C2211yescharacteristic
164#4945C2211yescharacteristic, complemented
165#4945C2211yescharacteristic, complemented
166#4944C2211yescharacteristic, complemented
167#4944C2211yescharacteristic, complemented
168#4944C2211yescharacteristic, complemented
169#4944C2211yescharacteristic, complemented
170#4940C2211yescharacteristic
171#4940C2211yescharacteristic
172C4×(C2×D3)⋊C4C2211yescharacteristic
173C4×(C2×D3)⋊C4C2211yescharacteristic
174C4×(C2×D3)⋊C4C2211yescharacteristic
175C4×(C2×D3)⋊C4C2211yescharacteristic
176C4×(C2×D3)⋊C4C2211yescharacteristic
177C4×(C2×D3)⋊C4C2211yescharacteristic
178C4×C4⋊Dic3C2211yescharacteristic, complemented
179C4×C4⋊Dic3C2211yescharacteristic, complemented
180#4933C2211yescharacteristic, complemented
181#4933C2211yescharacteristic, complemented
182#4932C2211yescharacteristic, complemented
183C4×Dic3⋊C4C2211yescharacteristic, complemented
184C4×Dic3⋊C4C2211yescharacteristic, complemented
185C4×Dic3⋊C4C2211yescharacteristic, complemented
186C4×Dic3⋊C4C2211yescharacteristic, complemented
187C4×Dic3⋊C4C2211yescharacteristic, complemented
188C4×Dic3⋊C4C2211yescharacteristic, complemented
189C42×Dic3C2211yescharacteristic, complemented
190C2×#529D311yescharacteristic, complemented
191C22×#117—31no—
192#2481—31no—
193#2480—31no—
194#2479—31no—
195#2478—31no—
196#2477—31no—
197#2476—31no—
198#2475—31no—
199#2474—31no—
200#2473—31no—
201#2472—31no—
202#2471—31no—
203#2470—31no—
204#2449—31no—
205#2443—31no—
206#2424—31no—
207#2418—31no—
208#2396—31no—
209#2395—31no—
210#2395—31no—
211#2392—31no—
212C4×C22⋊Q8—31no—
213C4×#121—31no—
214C4×#120—31no—
215C4×#120—31no—
216#2298—31no—
217#2293—31no—
218#2290—31no—
219#2290—31no—
220C42×D4—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C22×C4×D3—24no—
237C22×C4×D3—24no—
238C22×C4×D3—24no—
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C3×#126—24no—
248C3×#126—24no—
249C3×#125—24no—
250C3×#124—24no—
251C3×#123—24no—
252C3×#123—24no—
253C3×C22⋊Q8—24no—
254C3×#121—24no—
255C3×C4×Q8—24no—
256C3×C4×D4—24no—
257C3×C4×D4—24no—
258C3×C4×D4—24no—
259C3×#117—24no—
260C3×#117D418yescomplemented
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
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×C42—24no—
282C2×C3×C42C2311yescharacteristic
283C2×C3×C42C2311yescharacteristic
284C2×C3×C42C2311yescharacteristic
285C2×C3×C42C2311yescharacteristic
286C2×C3×C42C2311yescharacteristic
287C2×C3×C42C2311yescharacteristic
288C2×#217C2311yescharacteristic
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#946—24no—
307#938—24no—
308#937—24no—
309#937—24no—
310C4×#67—24no—
311C4×#67—24no—
312C4×#67—24no—
313C4×#67—24no—
314C4×#67—24no—
315C4×#67—24no—
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332#926—24no—
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369#892—24no—
370#892—24no—
371D3×C4⋊C4—24no—
372D3×C4⋊C4—24no—
373D3×C22⋊C4—24no—
374D3×C22⋊C4—24no—
375#877—24no—
376#877—24no—
377#872—24no—
378#872—24no—
379C42×D3—24no—
380C42×D3—24no—
381C3⋊#95C2311yescharacteristic
382C3⋊#95C2311yescharacteristic
383C3⋊#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C24×C4—31no—
418#529—28no—
419C2×#126C2×D311yescharacteristic
420C2×#126C2×D311yescharacteristic, complemented
421C2×#125C2×D311yescharacteristic, complemented
422C2×#124C2×D311yescharacteristic
423C2×#123C2×D311yescharacteristic
424C2×#123C2×D311yescharacteristic, complemented
425C2×C22⋊Q8—31no—
426C2×C22⋊Q8C2×D311yescharacteristic, complemented
427C2×#121—31no—
428C2×#121C2×D311yescharacteristic
429C2×#120—31no—
430C2×#120—31no—
431C2×C4×Q8C2×D311yescharacteristic, complemented
432C2×C4×D4—31no—
433C2×C4×D4—31no—
434C2×C4×D4—31no—
435C2×C4×D4—31no—
436C2×C4×D4—31no—
437C2×C4×D4—31no—
438C2×C4×D4C2×D311yescharacteristic
439C2×C4×D4C2×D311yescharacteristic
440C2×C4×D4C2×D311yescharacteristic, complemented
441C2×#117—31no—
442C2×#117—31no—
443C2×#117—31no—
444C2×#117—31no—
445C2×#117—31no—
446C2×#117—31no—
447C2×#117—31no—
448C2×#117—68no—
449C2×#117C2×D311yescharacteristic
450C2×#117C2×D311yescharacteristic, complemented
451C22×C4⋊C4—31no—
452C22×C4⋊C4—31no—
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C42—31no—
456C22×C42—31no—
457C22×C42C2×D311yescharacteristic, complemented
458#400—31no—
459#400—31no—
460#400—31no—
461#399—31no—
462#399—31no—
463#399—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#398—31no—
468#398—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#395—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#393—31no—
489#392—31no—
490#391—31no—
491#390—31no—
492#390—31no—
493#390—31no—
494#389—31no—
495#389—31no—
496#389—31no—
497#389—31no—
498#388—31no—
499#388—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
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#387—31no—
519#387—31no—
520#387—31no—
521#387—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#385—31no—
535#385—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#380—31no—
547#380—31no—
548#379—31no—
549#379—31no—
550C4×C4⋊C4—31no—
551C4×C4⋊C4—31no—
552C4×C4⋊C4—31no—
553C4×C4⋊C4—31no—
554C4×C4⋊C4—31no—
555C4×C4⋊C4—31no—
556C4×C4⋊C4—31no—
557C4×C4⋊C4—31no—
558C4×C22⋊C4—31no—
559C4×C22⋊C4—31no—
560C4×C22⋊C4—31no—
561C4×C22⋊C4—31no—
562C4×C22⋊C4—31no—
563C4×C22⋊C4—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572#376—31no—
573C43—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C24×C3C2411yescharacteristic
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C2×C3×Q8—22no—
587C2×C3×Q8—22no—
588C2×C3×Q8—41no—
589C2×C3×D4—22no—
590C2×C3×D4—22no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—22no—
609C22×C3×C4—22no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4C2×D414yes—
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67#4114yes—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—22no—
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C2×C4×D3—232no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3#4114yes—
678C2×C4×D3#4114yes—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4—22no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—22no—
686C3×C4⋊C4—22no—
687C3×C4⋊C4C2×D414yes—
688C3×C4⋊C4C2×D414yes—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—22no—
697C3×C22⋊C4C2×D414yes—
698C3×C22⋊C4C2×D414yes—
699C3×C42—22no—
700C3×C42—22no—
701C3×C42—22no—
702C3×C42—22no—
703C3×C42C2×D414yes—
704C3×C42C2×D414yes—
705#217—22no—
706#217—22no—
707#217—22no—
708#217—22no—
709#217—22no—
710#217—22no—
711#217—22no—
712#217—22no—
713#217—22no—
714#217—22no—
715#217—22no—
716#217—22no—
717#217—41no—
718#217—41no—
719#217—41no—
720#217—41no—
721#217—41no—
722#217—41no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—41no—
737(C2×D3)⋊C4—41no—
738(C2×D3)⋊C4#4114yes—
739C4⋊Dic3—22no—
740C4⋊Dic3—22no—
741C4⋊Dic3—22no—
742C4⋊Dic3—22no—
743C4⋊Dic3—41no—
744C4⋊Dic3—41no—
745Dic3⋊C4—22no—
746Dic3⋊C4—22no—
747Dic3⋊C4—22no—
748Dic3⋊C4—22no—
749Dic3⋊C4—22no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—41no—
758Dic3⋊C4—41no—
759Dic3⋊C4—41no—
760Dic3⋊C4—41no—
761C4×Dic3—22no—
762C4×Dic3—22no—
763C4×Dic3—22no—
764C4×Dic3—22no—
765C4×Dic3—22no—
766C4×Dic3—22no—
767C4×Dic3—22no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C25—31no—
776C22×Q8C22×D311yescharacteristic
777C22×D4—31no—
778C22×D4—31no—
779C22×D4—31no—
780C22×D4—31no—
781C22×D4C22×D311yescharacteristic
782C22×D4C22×D311yescharacteristic
783C22×D4C22×D311yescharacteristic
784C23×C4—31no—
785C23×C4—31no—
786C23×C4—31no—
787C23×C4—31no—
788C23×C4—31no—
789C23×C4—31no—
790C23×C4—31no—
791C23×C4—31no—
792C23×C4—31no—
793C23×C4—64no—
794C23×C4—64no—
795C23×C4—64no—
796C23×C4C22×D311yescharacteristic
797C23×C4C22×D311yescharacteristic
798C23×C4C22×D311yescharacteristic
799C23×C4C22×D311yescharacteristic
800C23×C4C22×D311yescharacteristic
801#126—24no—
802#126—24no—
803#125—24no—
804#124—24no—
805#123—24no—
806#123—24no—
807C22⋊Q8—24no—
808C22⋊Q8—64no—
809#121—24no—
810#121—64no—
811#120—64no—
812#120—64no—
813C4×Q8—24no—
814C4×D4—24no—
815C4×D4—24no—
816C4×D4—24no—
817C4×D4—64no—
818C4×D4—64no—
819C4×D4—64no—
820C4×D4—64no—
821C4×D4—64no—
822C4×D4—64no—
823#117—24no—
824#117—64no—
825#117—64no—
826#117—64no—
827#117—64no—
828#117—64no—
829#117—64no—
830#117—64no—
831#117#6718yescomplemented
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—64no—
855C2×C4⋊C4—64no—
856C2×C4⋊C4C22×D311yescharacteristic
857C2×C4⋊C4C22×D311yescharacteristic
858C2×C4⋊C4C22×D311yescharacteristic
859C2×C4⋊C4C22×D311yescharacteristic
860C2×C4⋊C4C22×D311yescharacteristic
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—64no—
901C2×C22⋊C4—64no—
902C2×C22⋊C4C22×D311yescharacteristic
903C2×C22⋊C4C22×D311yescharacteristic
904C2×C22⋊C4C22×D311yescharacteristic
905C2×C22⋊C4C22×D311yescharacteristic
906C2×C22⋊C4C22×D311yescharacteristic
907C2×C22⋊C4C22×D311yescharacteristic
908C2×C22⋊C4C22×D311yescharacteristic
909C2×C22⋊C4C22×D311yescharacteristic
910C2×C22⋊C4C22×D311yescharacteristic
911C2×C22⋊C4C22×D311yescharacteristic
912C2×C42—24no—
913C2×C42—31no—
914C2×C42—31no—
915C2×C42—31no—
916C2×C42—31no—
917C2×C42—31no—
918C2×C42—31no—
919C2×C42—31no—
920C2×C42—31no—
921C2×C42—31no—
922C2×C42—31no—
923C2×C42—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—64no—
928C2×C42—64no—
929C2×C42C22×D311yescharacteristic
930C2×C42C22×D311yescharacteristic
931C2×C42C22×D311yescharacteristic
932C2×C42C22×D311yescharacteristic
933C2×C42C22×D311yescharacteristic
934C2×C42C22×D311yescharacteristic
935#95—31no—
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3C22×D412yes—
991C23×C3C2×#4112yes—
992C23×C3C2511yescharacteristic
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—28no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—44no—
1005C22×D3—44no—
1006C22×D3—44no—
1007C22×D3—44no—
1008C22×D3—44no—
1009C22×D3—44no—
1010C22×D3C2×#4112yes—
1011C22×D3C2×#4112yes—
1012C22×D3C2×#4112yes—
1013C22×D3C2×#4112yes—
1014C3×Q8—44no—
1015C3×D4—44no—
1016C3×D4—44no—
1017C3×D4—44no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—28no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—44no—
1047C2×C3×C4—44no—
1048C2×C3×C4—44no—
1049C2×C3×C4—44no—
1050C2×C3×C4C22×D412yes—
1051C2×C3×C4C22×D412yes—
1052C2×C3×C4C22×D412yes—
1053C2×C3×C4C22×D412yes—
1054C2×C3×C4C22×D412yes—
1055C2×C3×C4C22×D412yes—
1056C2×C3×C4C2×#4112yes—
1057C2×C3×C4C2×#4112yes—
1058C2×C3×C4C2×#4112yes—
1059#67—28no—
1060#67—44no—
1061#67—44no—
1062#67—44no—
1063C2×Dic3—28no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3C2×#4112yes—
1103C2×Dic3C2×#4112yes—
1104C2×Dic3C2×#4112yes—
1105C2×Dic3C2×#4112yes—
1106C4×D3—28no—
1107C4×D3—28no—
1108C4×D3—28no—
1109C4×D3—28no—
1110C4×D3—44no—
1111C4×D3—44no—
1112C4×D3—44no—
1113C4×D3—44no—
1114C24—31no—
1115C24—31no—
1116C24—62no—
1117C24—62no—
1118C24—62no—
1119C24—62no—
1120C24—62no—
1121C24—121no—
1122C24—121no—
1123C24C23×D311yescharacteristic
1124C24C23×D311yescharacteristic
1125C24C23×D311yescharacteristic
1126C2×Q8—22no—
1127C2×Q8—22no—
1128C2×Q8—41no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—34no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—62no—
1140C2×D4—62no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—62no—
1145C2×D4—62no—
1146C2×D4—62no—
1147C2×D4—62no—
1148C2×D4—121no—
1149C2×D4—121no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—31no—
1163C22×C4—31no—
1164C22×C4—31no—
1165C22×C4—31no—
1166C22×C4—34no—
1167C22×C4—34no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—31no—
1171C22×C4—31no—
1172C22×C4—31no—
1173C22×C4—31no—
1174C22×C4—31no—
1175C22×C4—31no—
1176C22×C4—31no—
1177C22×C4—31no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—62no—
1181C22×C4—62no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—632no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—62no—
1189C22×C4—62no—
1190C22×C4—62no—
1191C22×C4—62no—
1192C22×C4—62no—
1193C22×C4—62no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—62no—
1200C22×C4—62no—
1201C22×C4—62no—
1202C22×C4—121no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4C2×#6714yes—
1207C22×C4C23×D311yescharacteristic
1208C22×C4C23×D311yescharacteristic
1209C22×C4C23×D311yescharacteristic
1210C22×C4C23×D311yescharacteristic
1211C22×C4C23×D311yescharacteristic
1212C22×C4C23×D311yescharacteristic
1213C22×C4C23×D311yescharacteristic
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—62no—
1228C4⋊C4—62no—
1229C4⋊C4—62no—
1230C4⋊C4—62no—
1231C4⋊C4—62no—
1232C4⋊C4—62no—
1233C4⋊C4—62no—
1234C4⋊C4—62no—
1235C4⋊C4—62no—
1236C4⋊C4—62no—
1237C4⋊C4—62no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—121no—
1244C4⋊C4—121no—
1245C4⋊C4—121no—
1246C4⋊C4—121no—
1247C4⋊C4—121no—
1248C4⋊C4—121no—
1249C4⋊C4C2×#6714yes—
1250C4⋊C4C2×#6714yes—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—34no—
1260C22⋊C4—62no—
1261C22⋊C4—62no—
1262C22⋊C4—62no—
1263C22⋊C4—62no—
1264C22⋊C4—62no—
1265C22⋊C4—62no—
1266C22⋊C4—62no—
1267C22⋊C4—62no—
1268C22⋊C4—62no—
1269C22⋊C4—62no—
1270C22⋊C4—62no—
1271C22⋊C4—62no—
1272C22⋊C4—62no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—121no—
1286C22⋊C4—121no—
1287C22⋊C4—121no—
1288C22⋊C4—121no—
1289C22⋊C4—121no—
1290C22⋊C4—121no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C22⋊C4C2×#6714yes—
1294C22⋊C4C2×#6714yes—
1295C42—22no—
1296C42—22no—
1297C42—22no—
1298C42—22no—
1299C42—62no—
1300C42—62no—
1301C42—62no—
1302C42—62no—
1303C42—62no—
1304C42—62no—
1305C42—62no—
1306C42—62no—
1307C42—62no—
1308C42—62no—
1309C42—62no—
1310C42—62no—
1311C42—121no—
1312C42—121no—
1313C42C2×#6714yes—
1314C42C2×#6714yes—
1315C22×C3—22no—
1316C22×C3—22no—
1317C22×C3—22no—
1318C22×C3—22no—
1319C22×C3—22no—
1320C22×C3—22no—
1321C22×C3—41no—
1322C22×C3—41no—
1323C22×C3—41no—
1324C22×C3—41no—
1325C22×C3—41no—
1326C22×C3—41no—
1327C22×C3—41no—
1328C22×C3—41no—
1329C22×C3—41no—
1330C22×C3—41no—
1331C22×C3—41no—
1332C22×C3—41no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3—41no—
1336C22×C3C23×D411yescharacteristic
1337C22×C3C22×#4111yescharacteristic
1338C22×C3C22×#4111yescharacteristic
1339C22×C3C22×#4111yescharacteristic
1340C22×C3C22×#4111yescharacteristic
1341C22×C3#58511yescharacteristic
1342C22×C3#58511yescharacteristic
1343C2×D3—22no—
1344C2×D3—22no—
1345C2×D3—22no—
1346C2×D3—22no—
1347C2×D3—22no—
1348C2×D3—22no—
1349C2×D3—22no—
1350C2×D3—22no—
1351C2×D3—22no—
1352C2×D3—416no—
1353C2×D3—41no—
1354C2×D3—41no—
1355C2×D3—41no—
1356C2×D3—41no—
1357C2×D3#52914yescomplemented
1358C3×C4—22no—
1359C3×C4—22no—
1360C3×C4—22no—
1361C3×C4—22no—
1362C3×C4—22no—
1363C3×C4—22no—
1364C3×C4—41no—
1365C3×C4—41no—
1366C3×C4—41no—
1367C3×C4—41no—
1368C3×C4—41no—
1369C3×C4#52514yes—
1370Dic3—22no—
1371Dic3—22no—
1372Dic3—22no—
1373Dic3—22no—
1374Dic3—41no—
1375Dic3—41no—
1376Dic3—41no—
1377Dic3—41no—
1378Dic3—41no—
1379Dic3—41no—
1380Dic3—41no—
1381Dic3—41no—
1382Dic3—41no—
1383Dic3—41no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—32no—
1404C23—32no—
1405C23—32no—
1406C23—32no—
1407C23—68no—
1408C23—61no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—61no—
1416C23—61no—
1417C23—61no—
1418C23—124no—
1419C23—124no—
1420C23—124no—
1421C23—124no—
1422C23—124no—
1423C23—124no—
1424C23D3×#4112yes—
1425C23C22×#6712yes—
1426C23C24×D311yescharacteristic
1427Q8—44no—
1428D4—44no—
1429D4—44no—
1430D4—44no—
1431D4—68no—
1432D4—124no—
1433D4—124no—
1434D4—124no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—28no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—32no—
1464C2×C4—32no—
1465C2×C4—32no—
1466C2×C4—32no—
1467C2×C4—44no—
1468C2×C4—44no—
1469C2×C4—44no—
1470C2×C4—44no—
1471C2×C4—68no—
1472C2×C4—68no—
1473C2×C4—68no—
1474C2×C4—61no—
1475C2×C4—61no—
1476C2×C4—61no—
1477C2×C4—61no—
1478C2×C4—61no—
1479C2×C4—61no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—68no—
1483C2×C4—68no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—124no—
1515C2×C4—124no—
1516C2×C4—124no—
1517C2×C4—124no—
1518C2×C4D3×#4112yes—
1519C2×C4D3×#4112yes—
1520C2×C4D3×#4112yes—
1521C2×C4C22×#6712yes—
1522C2×C4C22×#6712yes—
1523C2×C4C22×#6712yes—
1524C2×C4C22×#6712yes—
1525C2×C4C22×#6712yes—
1526C2×C4C22×#6712yes—
1527C2×C3—42no—
1528C2×C3—42no—
1529C2×C3—81no—
1530C2×C3C2×#52511yescharacteristic
1531C2×C3C2×#52911yescharacteristic
1532C2×C3#345511yescharacteristic
1533C2×C3D4×#4111yescharacteristic
1534C2×C3D4×#4111yescharacteristic
1535C2×C3#347511yescharacteristic
1536C2×C3#347511yescharacteristic
1537D3—24no—
1538D3—42no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—34no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—62no—
1562C22—62no—
1563C22—62no—
1564C22—62no—
1565C22—62no—
1566C22—62no—
1567C22—62no—
1568C22—62no—
1569C22—62no—
1570C22—1216no—
1571C22—121no—
1572C22—121no—
1573C22—121no—
1574C22—121no—
1575C22C2×D3×#4111yescharacteristic
1576C22C2×D3×#4111yescharacteristic
1577C22C2×D3×#4111yescharacteristic
1578C22C2×D3×#4111yescharacteristic
1579C22#596411yescharacteristic
1580C22#596411yescharacteristic
1581C22C23×#6711yescharacteristic
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—62no—
1594C4—62no—
1595C4—62no—
1596C4—62no—
1597C4—121no—
1598C4—121no—
1599C4—121no—
1600C4—121no—
1601C4—121no—
1602C4—121no—
1603C4—121no—
1604C4—121no—
1605C4—121no—
1606C4—121no—
1607C4#582814yes—
1608C3#3474011yescharacteristic, complemented, Sylow
1609C2—42no—
1610C2—42no—
1611C2—64no—
1612C2—81no—
1613C2—122no—
1614C2D3×#52911yescharacteristic
1615C2#8614611yescharacteristic
1616C2#8615011yescharacteristic
1617C2#8615111yescharacteristic
1618C2C2×#582811yescharacteristic
1619C2#41×#6711yescharacteristic
1620C2#41×#6711yescharacteristic
subgroupG/H
centerC22×C4C23×D3
commutator, socle, cosocleC23×C3C25
FrattiniC23C24×D3
FittingC2×C3×#529C2
prime radical#82707C2
hypercenterC2×#529D3
hypocenterC3#34740
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. C2×C3×#529C2semidirect
2. C2×D3×#117C2semidirect
3. #83082C2semidirect
4. #83081C2semidirect
5. #83080C2semidirect
6. #83079C2semidirect
7. #83033C2semidirect
8. #83032C2semidirect
9. #82966C2semidirect
10. #82965C2semidirect
11. #82897C2semidirect
12. #82896C2semidirect
13. #82855C2semidirect
14. #82854C2semidirect
15. #82817C2semidirect
16. #82770C2semidirect
18. #82660C2semidirect
19. #82491C2semidirect
20. C4×#946C2semidirect
21. #82401C2semidirect
22. C4×#938C2semidirect
23. C4×#937C2semidirect
24. C4×#937C2semidirect
25. #82346C2semidirect
26. #82346C2semidirect
27. #82268C2semidirect
28. #82229C2semidirect
29. #82225C2semidirect
30. #82065C2semidirect
31. C42×#67C2semidirect
36. C2×C3×#126C22semidirect
37. C2×C3×#125C22semidirect
40. C2×C3×#123C22semidirect
41. C2×C3×C22⋊Q8C22semidirect
43. C2×C3×C4×Q8C22semidirect
46. C2×C3×C4×D4C22semidirect
48. C2×C3×#117C22semidirect
49. C22×C3×C42C22semidirect
75. #5230C22semidirect
76. #5229C22semidirect
82. #5222C22semidirect
83. #5221C22semidirect
88. #5210C22semidirect
89. #5210C22semidirect
92. C4×#217C22semidirect
93. C4×#217C22semidirect
94. C4×#217C22semidirect
95. C4×#217C22semidirect
96. C4×#217C22semidirect
97. C4×#217C22semidirect
114. #4986C22semidirect
115. #4986C22semidirect
116. #4985C22semidirect
117. #4983C22semidirect
118. #4982C22semidirect
119. #4982C22semidirect
120. #4981C22semidirect
121. #4981C22semidirect
122. #4980C22semidirect
123. #4980C22semidirect
124. #4980C22semidirect
125. #4980C22semidirect
126. #4978C22semidirect
127. #4978C22semidirect
128. #4978C22semidirect
129. #4978C22semidirect
130. #4976C22semidirect
131. #4976C22semidirect
132. #4972C22semidirect
133. #4972C22semidirect
148. #4953C22semidirect
149. #4953C22semidirect
158. #4949C22semidirect
159. #4949C22semidirect
160. #4948C22semidirect
161. #4948C22semidirect
164. #4945C22semidirect
165. #4945C22semidirect
166. #4944C22semidirect
167. #4944C22semidirect
168. #4944C22semidirect
169. #4944C22semidirect
178. C4×C4⋊Dic3C22semidirect
179. C4×C4⋊Dic3C22semidirect
180. #4933C22semidirect
181. #4933C22semidirect
182. #4932C22semidirect
183. C4×Dic3⋊C4C22semidirect
184. C4×Dic3⋊C4C22semidirect
185. C4×Dic3⋊C4C22semidirect
186. C4×Dic3⋊C4C22semidirect
187. C4×Dic3⋊C4C22semidirect
188. C4×Dic3⋊C4C22semidirect
189. C42×Dic3C22semidirect
190. C2×#529D3semidirect
260. C3×#117D4semidirect
420. C2×#126C2×D3semidirect
421. C2×#125C2×D3semidirect
424. C2×#123C2×D3semidirect
426. C2×C22⋊Q8C2×D3semidirect
431. C2×C4×Q8C2×D3semidirect
440. C2×C4×D4C2×D3semidirect
450. C2×#117C2×D3semidirect
457. C22×C42C2×D3semidirect
831. #117#67semidirect
1357. C2×D3#529semidirect
1608. C3#34740semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5292
C2×D3×#1172
#830822
#830812
#830802
#830792
#830332
#830322
#829662
#829652
#828972
#828962
#828552
#828542
#828172
#827702
#827072
#826602
#824912
C4×#9462
#824012
C4×#9382
C4×#9372
#823462
#822682
#822292
#822252
#820652
C42×#672
#347403