Finite Group Databasebeta

← C2×#10618445 #13006800

Subgroups — C2×#10618445 #13006800

Order 1280.

6554 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#542C211yesmaximal, characteristic, complemented
2#10618445C2132yesmaximal, direct product factor
3C2×#66063C211yesmaximal, characteristic, complemented
4C2×#66065C211yesmaximal, characteristic, complemented
5C2×#66042C211yesmaximal, characteristic, complemented
6C2×#66046C211yesmaximal, characteristic, complemented
7C2×#66044C211yesmaximal, characteristic, complemented
8C2×#66035C211yesmaximal, characteristic, complemented
9C2×#66016C211yesmaximal, characteristic, complemented
10C2×#66006C211yesmaximal, characteristic, complemented
11C2×#66018C211yesmaximal, characteristic, complemented
12C2×#66005C211yesmaximal, characteristic, complemented
13C2×#66004C211yesmaximal, characteristic, complemented
14C2×#66003C211yesmaximal, characteristic, complemented
15C2×#65995C211yesmaximal, characteristic, complemented
16C2×#65984C211yesmaximal, characteristic, complemented
17C2×#65996C211yesmaximal, characteristic, complemented
18C2×#65983C211yesmaximal, characteristic, complemented
19C2×#65972C211yesmaximal, characteristic, complemented
20C2×#65975C211yesmaximal, characteristic, complemented
21C2×#65970C211yesmaximal, characteristic, complemented
22C2×#65957C211yesmaximal, characteristic, complemented
23C2×#65974C211yesmaximal, characteristic, complemented
24C2×#65956C211yesmaximal, characteristic, complemented
25C2×#65955C211yesmaximal, characteristic, complemented
26C2×#65935C211yesmaximal, characteristic, complemented
27C2×#65901C211yesmaximal, characteristic, complemented
28C2×#65902C211yesmaximal, characteristic, complemented
29C2×#65898C211yesmaximal, characteristic, complemented
30C2×#65872C211yesmaximal, characteristic, complemented
31C2×#65863C211yesmaximal, characteristic, complemented
32C2×#65865C211yesmaximal, characteristic, complemented
33C5×#542C22116yescomplemented
34C2×C5×C4⋊Q8C2211yescharacteristic
35C2×C5×#126C2211yescharacteristic
36C2×C5×#126C2211yescharacteristic
37C2×C5×#124C2211yescharacteristic
38C2×C5×#124C2211yescharacteristic
39C2×C5×#124C2211yescharacteristic
40C2×C5×#123C2211yescharacteristic
41C2×C5×#123C2211yescharacteristic
42C2×C5×C22⋊Q8C2211yescharacteristic
43C2×C5×C22⋊Q8C2211yescharacteristic
44C2×C5×C22⋊Q8C2211yescharacteristic
45C2×C5×#121C2211yescharacteristic
46C2×C4×C5×Q8C2211yescharacteristic
47C2×C4×C5×D4C2211yescharacteristic
48C2×C5×#117C2211yescharacteristic
49C2×#4093C2211yescharacteristic
50C2×#4092C2211yescharacteristic
51C2×#4092C2211yescharacteristic
52C2×#4092C2211yescharacteristic
53C2×#4092C2211yescharacteristic
54C2×Q8×Dic5C2211yescharacteristic
55C2×Q8×Dic5C2211yescharacteristic
56C2×#4090C2211yescharacteristic
57C2×#4090C2211yescharacteristic
58C2×#4090C2211yescharacteristic
59C2×#4090C2211yescharacteristic
60C2×#4090C2211yescharacteristic
61C2×#4085C2211yescharacteristic
62C2×#4085C2211yescharacteristic
63C2×#4085C2211yescharacteristic
64C2×#4085C2211yescharacteristic
65C2×#4085C2211yescharacteristic
66C2×#4084C2211yescharacteristic
67C2×#4082C2211yescharacteristic
68C2×#4081C2211yescharacteristic
69C2×#4081C2211yescharacteristic
70C2×#4081C2211yescharacteristic
71C2×D4×Dic5C2211yescharacteristic
72C2×D4×Dic5C2211yescharacteristic
73C2×#4075C2211yescharacteristic
74C2×#4075C2211yescharacteristic
75C2×C4×C22⋊D5C2211yescharacteristic
76C2×C4×C22⋊D5C2211yescharacteristic
77C2×C4×C22⋊D5C2211yescharacteristic
78C2×C4×C22⋊D5C2211yescharacteristic
79C2×#4072C2211yescharacteristic
80C2×#4070C2211yescharacteristic
81C2×#4070C2211yescharacteristic
82C22×#683C2211yescharacteristic
83C22×#683C2211yescharacteristic
84C22×C4×Dic5C2211yescharacteristic
85#66065C22116yescomplemented
86#66063C22116yescomplemented
87#66046C22116yescomplemented
88#66044C22116yescomplemented
89#66042C22116yescomplemented
90#66035C22116yescomplemented
91#66018C22116yescomplemented
92#66016C22116yescomplemented
93#66006C22116yescomplemented
94#66005C22116yescomplemented
95#66004C22116yescomplemented
96#66003C22116yescomplemented
97#65996C22116yescomplemented
98#65995C22116yescomplemented
99#65984C22116yescomplemented
100#65983C22116yescomplemented
101#65975C22116yescomplemented
102#65974C22116yescomplemented
103#65972C22116yescomplemented
104#65970C22116yescomplemented
105#65957C22116yescomplemented
106#65956C22116yescomplemented
107#65955C22116yescomplemented
108#65935C22116yescomplemented
109#65902C22116yescomplemented
110#65901C22116yescomplemented
111#65898C22116yescomplemented
112#65872C22116yescomplemented
113#65865C22116yescomplemented
114#65863C22116yescomplemented
115C2×#4044C2211yescharacteristic
116C2×#4044C2211yescharacteristic
117C2×#4044C2211yescharacteristic
118C2×#4044C2211yescharacteristic
119C2×#4044C2211yescharacteristic
120C2×#4044C2211yescharacteristic
121C2×#4043C2211yescharacteristic
122C2×#4042C2211yescharacteristic
123C2×#4042C2211yescharacteristic
124C2×#4042C2211yescharacteristic
125C2×#4042C2211yescharacteristic
126C2×#4042C2211yescharacteristic
127C2×#4040C2211yescharacteristic
128C2×#4039C2211yescharacteristic
129C2×#4038C2211yescharacteristic
130C2×#4038C2211yescharacteristic
131C2×D5×C4⋊C4C2211yescharacteristic
132C2×D5×C4⋊C4C2211yescharacteristic
133C2×#4036C2211yescharacteristic
134C2×#4036C2211yescharacteristic
135C2×#4035C2211yescharacteristic
136C2×#4035C2211yescharacteristic
137C2×#4035C2211yescharacteristic
138C2×#4035C2211yescharacteristic
139C2×#4035C2211yescharacteristic
140C2×#4035C2211yescharacteristic
141C2×#4035C2211yescharacteristic
142C2×#4035C2211yescharacteristic
143C2×#4035C2211yescharacteristic
144C2×#4035C2211yescharacteristic
145C2×#4035C2211yescharacteristic
146C2×#4035C2211yescharacteristic
147C2×#4034C2211yescharacteristic
148C2×#4034C2211yescharacteristic
149C2×#4034C2211yescharacteristic
150C2×#4033C2211yescharacteristic
151C2×#4033C2211yescharacteristic
152C2×#4033C2211yescharacteristic
153C2×#4033C2211yescharacteristic
154C2×#4033C2211yescharacteristic
155C2×#4032C2211yescharacteristic
156C2×#4032C2211yescharacteristic
157C2×#4032C2211yescharacteristic
158C2×#4031C2211yescharacteristic
159C2×#4031C2211yescharacteristic
160C2×#4031C2211yescharacteristic
161C2×#4031C2211yescharacteristic
162C2×#4031C2211yescharacteristic
163C2×#4031C2211yescharacteristic
164C2×#4030C2211yescharacteristic
165C2×#4030C2211yescharacteristic
166C2×#4030C2211yescharacteristic
167C2×#4029C2211yescharacteristic
168C2×#4029C2211yescharacteristic
169C2×#4029C2211yescharacteristic
170C2×#4029C2211yescharacteristic
171C2×#4029C2211yescharacteristic
172C2×#4027C2211yescharacteristic
173C2×#4027C2211yescharacteristic
174C2×#4027C2211yescharacteristic
175C2×#4027C2211yescharacteristic
176C2×#4025C2211yescharacteristic
177C2×#4025C2211yescharacteristic
178C2×#4025C2211yescharacteristic
179C2×#4025C2211yescharacteristic
180C2×#4025C2211yescharacteristic
181C2×#4025C2211yescharacteristic
182C2×#4025C2211yescharacteristic
183C2×#4025C2211yescharacteristic
184C2×#4025C2211yescharacteristic
185C2×#4025C2211yescharacteristic
186C2×#4024C2211yescharacteristic
187C2×#4024C2211yescharacteristic
188C2×#4024C2211yescharacteristic
189C2×#4024C2211yescharacteristic
190C2×#4024C2211yescharacteristic
191C2×#4024C2211yescharacteristic
192C2×#4024C2211yescharacteristic
193C2×#4024C2211yescharacteristic
194C2×#4024C2211yescharacteristic
195C2×#4024C2211yescharacteristic
196C2×#4024C2211yescharacteristic
197C2×#4023C2211yescharacteristic
198C2×#4023C2211yescharacteristic
199C2×#4023C2211yescharacteristic
200C2×#4023C2211yescharacteristic
201C2×#4023C2211yescharacteristic
202C2×#4023C2211yescharacteristic
203C2×#4022C2211yescharacteristic
204C2×#4022C2211yescharacteristic
205C2×#4021C2211yescharacteristic
206C2×#4018C2211yescharacteristic
207C2×#4018C2211yescharacteristic
208C2×#4018C2211yescharacteristic
209C2×#4018C2211yescharacteristic
210C2×#4016C2211yescharacteristic
211C2×#4016C2211yescharacteristic
212C2×#4016C2211yescharacteristic
213C2×#4016C2211yescharacteristic
214C2×#4015C2211yescharacteristic
215C2×C4×Dic10C2211yescharacteristic
216C2×C4×Dic10C2211yescharacteristic
217C2×C4×Dic10C2211yescharacteristic
218C2×C4×Dic10C2211yescharacteristic
219C2×#3565—51nomaximal, Sylow
220C22×C5×Q8C2311yescharacteristic
221C22×C5×Q8C2311yescharacteristic
222C22×C5×Q8C2311yescharacteristic
223C22×C5×D4C2311yescharacteristic
224C22×C5×D4C2311yescharacteristic
225C22×C5×D4C2311yescharacteristic
226C23×C4×C5C2311yescharacteristic
227C23×C4×C5C2311yescharacteristic
228C23×C4×C5C2311yescharacteristic
229C22×C22⋊D5C2311yescharacteristic
230C22×C22⋊D5C2311yescharacteristic
231C22×C22⋊D5C2311yescharacteristic
232C22×C22⋊D5C2311yescharacteristic
233C22×C22⋊D5C2311yescharacteristic
234C22×C22⋊D5C2311yescharacteristic
235C23×Dic5C2311yescharacteristic
236C23×Dic5C2311yescharacteristic
237C23×Dic5C2311yescharacteristic
238C23×Dic5C2311yescharacteristic
239C23×Dic5C2311yescharacteristic
240C23×Dic5C2311yescharacteristic
241C22×D20C2311yescharacteristic
242C22×C4×D5C2311yescharacteristic
243C22×C4×D5C2311yescharacteristic
244C22×C4×D5C2311yescharacteristic
245C22×C4×D5C2311yescharacteristic
246C22×C4×D5C2311yescharacteristic
247C22×C4×D5C2311yescharacteristic
248C22×Dic10C2311yescharacteristic
249C22×Dic10C2311yescharacteristic
250C22×Dic10C2311yescharacteristic
251C22×Dic10C2311yescharacteristic
252C22×Dic10C2311yescharacteristic
253C22×Dic10C2311yescharacteristic
254C22×Dic10C2311yescharacteristic
255C5×C4⋊Q8C2318yes—
256C5×#126C2318yes—
257C5×#126C2318yes—
258C5×#124C2318yes—
259C5×#124C2318yes—
260C5×#124C2318yes—
261C5×#123C2318yes—
262C5×#123C2318yes—
263C5×C22⋊Q8C2318yes—
264C5×C22⋊Q8C2318yes—
265C5×C22⋊Q8C2318yes—
266C5×#121C2318yes—
267C4×C5×Q8C2318yes—
268C4×C5×D4C2318yes—
269C5×#117C2318yes—
270C2×C5×C4⋊C4C2311yescharacteristic
271C2×C5×C4⋊C4C2311yescharacteristic
272C2×C5×C4⋊C4C2311yescharacteristic
273C2×C5×C4⋊C4C2311yescharacteristic
274C2×C5×C4⋊C4C2311yescharacteristic
275C2×C5×C4⋊C4C2311yescharacteristic
276C2×C5×C4⋊C4C2311yescharacteristic
277C2×C5×C4⋊C4C2311yescharacteristic
278C2×C5×C4⋊C4C2311yescharacteristic
279C2×C5×C4⋊C4C2311yescharacteristic
280C2×C5×C22⋊C4C2311yescharacteristic
281C2×C5×C22⋊C4C2311yescharacteristic
282C2×C5×C22⋊C4C2311yescharacteristic
283C2×C5×C22⋊C4C2311yescharacteristic
284C2×C5×C22⋊C4C2311yescharacteristic
285C2×C5×C22⋊C4C2311yescharacteristic
286C2×C5×C22⋊C4C2311yescharacteristic
287C2×C5×C22⋊C4C2311yescharacteristic
288C2×C5×C22⋊C4C2311yescharacteristic
289C2×C5×C22⋊C4C2311yescharacteristic
290C2×C5×C22⋊C4C2311yescharacteristic
291C2×C5×C22⋊C4C2311yescharacteristic
292C2×C42×C5C2311yescharacteristic
293C2×C42×C5C2311yescharacteristic
294C2×C42×C5C2311yescharacteristic
295C2×C42×C5C2311yescharacteristic
296C2×C22⋊Dic5C2311yescharacteristic
297C2×C22⋊Dic5C2311yescharacteristic
298C2×C22⋊Dic5C2311yescharacteristic
299C2×C22⋊Dic5C2311yescharacteristic
300C2×C22⋊Dic5C2311yescharacteristic
301C2×C22⋊Dic5C2311yescharacteristic
302C2×C22⋊Dic5C2311yescharacteristic
303C2×C22⋊Dic5C2311yescharacteristic
304C2×C22⋊Dic5C2311yescharacteristic
305C2×C22⋊Dic5C2311yescharacteristic
306C2×C22⋊Dic5C2311yescharacteristic
307C2×C22⋊Dic5C2311yescharacteristic
308#4093C2318yes—
309#4092C2318yes—
310#4092C2318yes—
311#4092C2318yes—
312#4092C2318yes—
313Q8×Dic5C2318yes—
314Q8×Dic5C2318yes—
315#4090C2318yes—
316#4090C2318yes—
317#4090C2318yes—
318#4090C2318yes—
319#4090C2318yes—
320#4085C2318yes—
321#4085C2318yes—
322#4085C2318yes—
323#4085C2318yes—
324#4085C2318yes—
325#4084C2318yes—
326#4082C2318yes—
327#4081C2318yes—
328#4081C2318yes—
329#4081C2318yes—
330D4×Dic5C2318yes—
331D4×Dic5C2318yes—
332#4075C2318yes—
333#4075C2318yes—
334C4×C22⋊D5C2318yes—
335C4×C22⋊D5C2318yes—
336C4×C22⋊D5C2318yes—
337C4×C22⋊D5C2318yes—
338C2×#685C2311yescharacteristic
339C2×#685C2311yescharacteristic
340C2×#685C2311yescharacteristic
341C2×#685C2311yescharacteristic
342C2×#685C2311yescharacteristic
343C2×#685C2311yescharacteristic
344C2×#685C2311yescharacteristic
345C2×#685C2311yescharacteristic
346C2×#685C2311yescharacteristic
347C2×#685C2311yescharacteristic
348C2×#685C2311yescharacteristic
349C2×#685C2311yescharacteristic
350C2×#685C2311yescharacteristic
351C2×#685C2311yescharacteristic
352C2×#685C2311yescharacteristic
353C2×#685C2311yescharacteristic
354#4072C2318yes—
355C2×C4⋊Dic5C2311yescharacteristic
356C2×C4⋊Dic5C2311yescharacteristic
357C2×C4⋊Dic5C2311yescharacteristic
358C2×C4⋊Dic5C2311yescharacteristic
359C2×C4⋊Dic5C2311yescharacteristic
360C2×C4⋊Dic5C2311yescharacteristic
361C2×C4⋊Dic5C2311yescharacteristic
362C2×C4⋊Dic5C2311yescharacteristic
363C2×C4⋊Dic5C2311yescharacteristic
364C2×C4⋊Dic5C2311yescharacteristic
365C2×C4⋊Dic5C2311yescharacteristic
366C2×C4⋊Dic5C2311yescharacteristic
367C2×C4⋊Dic5C2311yescharacteristic
368C2×C4⋊Dic5C2311yescharacteristic
369#4070C2318yes—
370#4070C2318yes—
371C2×#683C2311yescharacteristic
372C2×#683C2311yescharacteristic
373C2×#683C2311yescharacteristic
374C2×#683C2311yescharacteristic
375C2×#683C2311yescharacteristic
376C2×#683C2311yescharacteristic
377C2×#683C2311yescharacteristic
378C2×#683C2311yescharacteristic
379C2×#683C2311yescharacteristic
380C2×#683C2311yescharacteristic
381C2×#683C2311yescharacteristic
382C2×#683C2311yescharacteristic
383C2×#683C2311yescharacteristic
384C2×#683C2311yescharacteristic
385C2×#683C2311yescharacteristic
386C2×#683C2311yescharacteristic
387C2×#683C2311yescharacteristic
388C2×#683C2311yescharacteristic
389C2×#683C2311yescharacteristic
390C2×#683C2311yescharacteristic
391C2×#683C2311yescharacteristic
392C2×#683C2311yescharacteristic
393C2×#683C2311yescharacteristic
394C2×#683C2311yescharacteristic
395C2×#683C2311yescharacteristic
396C2×#683C2311yescharacteristic
397C2×#683C2311yescharacteristic
398C2×#683C2311yescharacteristic
399C2×#683C2311yescharacteristic
400C2×#683C2311yescharacteristic
401C2×#683C2311yescharacteristic
402C2×#683C2311yescharacteristic
403C2×#683C2311yescharacteristic
404C2×#683C2311yescharacteristic
405C2×#683C2311yescharacteristic
406C2×#683C2311yescharacteristic
407C2×#683C2318yes—
408C2×#683C2318yes—
409C2×C4×Dic5C2311yescharacteristic
410C2×C4×Dic5C2311yescharacteristic
411C2×C4×Dic5C2311yescharacteristic
412C2×C4×Dic5C2311yescharacteristic
413C2×C4×Dic5C2311yescharacteristic
414C2×C4×Dic5C2311yescharacteristic
415C2×C4×Dic5C2311yescharacteristic
416C2×C4×Dic5C2311yescharacteristic
417C2×C4×Dic5C2311yescharacteristic
418C2×C4×Dic5C2311yescharacteristic
419C2×C4×Dic5C2311yescharacteristic
420C2×C4×Dic5C2311yescharacteristic
421C2×C4×Dic5C2311yescharacteristic
422C2×C4×Dic5C2311yescharacteristic
423C2×C4×Dic5C2311yescharacteristic
424C2×C4×Dic5C2311yescharacteristic
425C2×C4×Dic5C2318yes—
426#4044C2318yes—
427#4044C2318yes—
428#4044C2318yes—
429#4044C2318yes—
430#4044C2318yes—
431#4044C2318yes—
432#4043C2318yes—
433#4042C2318yes—
434#4042C2318yes—
435#4042C2318yes—
436#4042C2318yes—
437#4042C2318yes—
438#4040C2318yes—
439#4039C2318yes—
440#4038C2318yes—
441#4038C2318yes—
442D5×C4⋊C4C2318yes—
443D5×C4⋊C4C2318yes—
444#4036C2318yes—
445#4036C2318yes—
446#4035C2318yes—
447#4035C2318yes—
448#4035C2318yes—
449#4035C2318yes—
450#4035C2318yes—
451#4035C2318yes—
452#4035C2318yes—
453#4035C2318yes—
454#4035C2318yes—
455#4035C2318yes—
456#4035C2318yes—
457#4035C2318yes—
458#4034C2318yes—
459#4034C2318yes—
460#4034C2318yes—
461#4033C2318yes—
462#4033C2318yes—
463#4033C2318yes—
464#4033C2318yes—
465#4033C2318yes—
466#4032C2318yes—
467#4032C2318yes—
468#4032C2318yes—
469#4031C2318yes—
470#4031C2318yes—
471#4031C2318yes—
472#4031C2318yes—
473#4031C2318yes—
474#4031C2318yes—
475#4030C2318yes—
476#4030C2318yes—
477#4030C2318yes—
478#4029C2318yes—
479#4029C2318yes—
480#4029C2318yes—
481#4029C2318yes—
482#4029C2318yes—
483#4027C2318yes—
484#4027C2318yes—
485#4027C2318yes—
486#4027C2318yes—
487#4025C2318yes—
488#4025C2318yes—
489#4025C2318yes—
490#4025C2318yes—
491#4025C2318yes—
492#4025C2318yes—
493#4025C2318yes—
494#4025C2318yes—
495#4025C2318yes—
496#4025C2318yes—
497#4024C2318yes—
498#4024C2318yes—
499#4024C2318yes—
500#4024C2318yes—
501#4024C2318yes—
502#4024C2318yes—
503#4024C2318yes—
504#4024C2318yes—
505#4024C2318yes—
506#4024C2318yes—
507#4024C2318yes—
508#4023C2318yes—
509#4023C2318yes—
510#4023C2318yes—
511#4023C2318yes—
512#4023C2318yes—
513#4023C2318yes—
514#4022C2318yes—
515#4022C2318yes—
516#4021C2318yes—
517#4018C2318yes—
518#4018C2318yes—
519#4018C2318yes—
520#4018C2318yes—
521#4016C2318yes—
522#4016C2318yes—
523#4016C2318yes—
524#4016C2318yes—
525#4015C2318yes—
526C4×Dic10C2318yes—
527C4×Dic10C2318yes—
528C4×Dic10C2318yes—
529C4×Dic10C2318yes—
530#3565—532no—
531C2×#563—51no—
532C2×#563—51no—
533C2×#562—51no—
534C2×#562—51no—
535C2×#557—51no—
536C2×#556—51no—
537C2×#556—51no—
538C2×#556—51no—
539C2×#555—51no—
540C2×#554—51no—
541C2×#553—51no—
542C2×#553—51no—
543C2×#552—51no—
544C2×#552—51no—
545C2×#552—51no—
546C2×#552—51no—
547C2×#544—51no—
548C2×#544—51no—
549C2×#542—51no—
550C2×#542—51no—
551C2×#542—51no—
552C2×#542—51no—
553C2×#542—51no—
554C2×#542D511yescharacteristic, complemented
555C2×#541—51no—
556C2×#541—51no—
557C2×#539—51no—
558C2×#539—51no—
559C2×#533—51no—
560C2×#529—51no—
561C2×#529—51no—
562C24×C5C2411yescharacteristic
563C24×C5C2411yescharacteristic
564C24×C5C2411yescharacteristic
565C23×D5C2411yescharacteristic
566C23×D5C2411yescharacteristic
567C2×C5×Q8—42no—
568C2×C5×Q8—42no—
569C2×C5×Q8—42no—
570C2×C5×Q8C2414yes—
571C2×C5×Q8C2414yes—
572C2×C5×Q8C2414yes—
573C2×C5×D4—42no—
574C2×C5×D4—42no—
575C2×C5×D4—42no—
576C2×C5×D4C2414yes—
577C2×C5×D4C2414yes—
578C2×C5×D4C2414yes—
579C22×C4×C5—42no—
580C22×C4×C5—42no—
581C22×C4×C5—42no—
582C22×C4×C5C2411yescharacteristic
583C22×C4×C5C2411yescharacteristic
584C22×C4×C5C2411yescharacteristic
585C22×C4×C5C2411yescharacteristic
586C22×C4×C5C2411yescharacteristic
587C22×C4×C5C2411yescharacteristic
588C22×C4×C5C2411yescharacteristic
589C22×C4×C5C2411yescharacteristic
590C22×C4×C5C2411yescharacteristic
591C22×C4×C5C2411yescharacteristic
592C22×C4×C5C2411yescharacteristic
593C22×C4×C5C2411yescharacteristic
594C22×C4×C5C2414yes—
595C22×C4×C5C2414yes—
596C22×C4×C5C2414yes—
597C2×C22⋊D5—24no—
598C2×C22⋊D5—42no—
599C2×C22⋊D5—42no—
600C2×C22⋊D5—42no—
601C2×C22⋊D5—42no—
602C2×C22⋊D5—42no—
603C2×C22⋊D5C2414yes—
604C2×C22⋊D5C2414yes—
605C2×C22⋊D5C2414yes—
606C2×C22⋊D5C2414yes—
607C2×C22⋊D5C2414yes—
608C2×C22⋊D5C2414yes—
609C22×Dic5—24no—
610C22×Dic5—24no—
611C22×Dic5—42no—
612C22×Dic5—42no—
613C22×Dic5—42no—
614C22×Dic5—42no—
615C22×Dic5C2411yescharacteristic
616C22×Dic5C2411yescharacteristic
617C22×Dic5C2411yescharacteristic
618C22×Dic5C2411yescharacteristic
619C22×Dic5C2411yescharacteristic
620C22×Dic5C2411yescharacteristic
621C22×Dic5C2411yescharacteristic
622C22×Dic5C2411yescharacteristic
623C22×Dic5C2411yescharacteristic
624C22×Dic5C2411yescharacteristic
625C22×Dic5C2411yescharacteristic
626C22×Dic5C2411yescharacteristic
627C22×Dic5C2411yescharacteristic
628C22×Dic5C2414yes—
629C22×Dic5C2414yes—
630C22×Dic5C2414yes—
631C22×Dic5C2414yes—
632C22×Dic5C2414yes—
633C22×Dic5C2414yes—
634C22×Dic5C2411yescharacteristic
635C2×D20—42no—
636C2×D20C2414yes—
637C2×C4×D5—24no—
638C2×C4×D5—42no—
639C2×C4×D5—42no—
640C2×C4×D5—42no—
641C2×C4×D5—42no—
642C2×C4×D5—42no—
643C2×C4×D5C2414yes—
644C2×C4×D5C2414yes—
645C2×C4×D5C2414yes—
646C2×C4×D5C2414yes—
647C2×C4×D5C2414yes—
648C2×C4×D5C2414yes—
649C2×Dic10—24no—
650C2×Dic10—42no—
651C2×Dic10—42no—
652C2×Dic10—42no—
653C2×Dic10—42no—
654C2×Dic10—42no—
655C2×Dic10—42no—
656C2×Dic10C2414yes—
657C2×Dic10C2414yes—
658C2×Dic10C2414yes—
659C2×Dic10C2414yes—
660C2×Dic10C2414yes—
661C2×Dic10C2414yes—
662C2×Dic10C2414yes—
663C5×C4⋊C4C2414yes—
664C5×C4⋊C4C2414yes—
665C5×C4⋊C4C2414yes—
666C5×C4⋊C4C2414yes—
667C5×C4⋊C4C2414yes—
668C5×C4⋊C4C2414yes—
669C5×C4⋊C4C2414yes—
670C5×C4⋊C4C2414yes—
671C5×C4⋊C4C2414yes—
672C5×C4⋊C4C2414yes—
673C5×C22⋊C4C2414yes—
674C5×C22⋊C4C2414yes—
675C5×C22⋊C4C2414yes—
676C5×C22⋊C4C2414yes—
677C5×C22⋊C4C2414yes—
678C5×C22⋊C4C2414yes—
679C5×C22⋊C4C2414yes—
680C5×C22⋊C4C2414yes—
681C5×C22⋊C4C2414yes—
682C5×C22⋊C4C2414yes—
683C5×C22⋊C4C2414yes—
684C5×C22⋊C4C2414yes—
685C42×C5C2414yes—
686C42×C5C2414yes—
687C42×C5C2414yes—
688C42×C5C2414yes—
689C22⋊Dic5C2414yes—
690C22⋊Dic5C2414yes—
691C22⋊Dic5C2414yes—
692C22⋊Dic5C2414yes—
693C22⋊Dic5C2414yes—
694C22⋊Dic5C2414yes—
695C22⋊Dic5C2414yes—
696C22⋊Dic5C2414yes—
697C22⋊Dic5C2414yes—
698C22⋊Dic5C2414yes—
699C22⋊Dic5C2414yes—
700C22⋊Dic5C2414yes—
701#685C2414yes—
702#685C2414yes—
703#685C2414yes—
704#685C2414yes—
705#685C2414yes—
706#685C2414yes—
707#685C2414yes—
708#685C2414yes—
709#685C2414yes—
710#685C2414yes—
711#685C2414yes—
712#685C2414yes—
713#685C2414yes—
714#685C2414yes—
715#685C2414yes—
716#685C2414yes—
717C4⋊Dic5C2414yes—
718C4⋊Dic5C2414yes—
719C4⋊Dic5C2414yes—
720C4⋊Dic5C2414yes—
721C4⋊Dic5C2414yes—
722C4⋊Dic5C2414yes—
723C4⋊Dic5C2414yes—
724C4⋊Dic5C2414yes—
725C4⋊Dic5C2414yes—
726C4⋊Dic5C2414yes—
727C4⋊Dic5C2414yes—
728C4⋊Dic5C2414yes—
729C4⋊Dic5C2414yes—
730C4⋊Dic5C2414yes—
731#683C2414yes—
732#683C2414yes—
733#683C2414yes—
734#683C2414yes—
735#683C2414yes—
736#683C2414yes—
737#683C2414yes—
738#683C2414yes—
739#683C2414yes—
740#683C2414yes—
741#683C2414yes—
742#683C2414yes—
743#683C2414yes—
744#683C2414yes—
745#683C2414yes—
746#683C2414yes—
747#683C2414yes—
748#683C2414yes—
749#683C2414yes—
750#683C2414yes—
751#683C2414yes—
752#683C2414yes—
753#683C2414yes—
754#683C2414yes—
755#683C2414yes—
756#683C2414yes—
757#683C2414yes—
758#683C2414yes—
759#683C2414yes—
760#683C2414yes—
761#683C2414yes—
762#683C2414yes—
763#683C2414yes—
764#683C2414yes—
765#683C2414yes—
766#683C2414yes—
767C4×Dic5C2414yes—
768C4×Dic5C2414yes—
769C4×Dic5C2414yes—
770C4×Dic5C2414yes—
771C4×Dic5C2414yes—
772C4×Dic5C2414yes—
773C4×Dic5C2414yes—
774C4×Dic5C2414yes—
775C4×Dic5C2414yes—
776C4×Dic5C2414yes—
777C4×Dic5C2414yes—
778C4×Dic5C2414yes—
779C4×Dic5C2414yes—
780C4×Dic5C2414yes—
781C4×Dic5C2414yes—
782C4×Dic5C2414yes—
783#563—516no—
784#563—516no—
785#562—516no—
786#562—516no—
787#557—516no—
788#556—516no—
789#556—516no—
790#556—516no—
791#555—516no—
792#554—516no—
793#553—516no—
794#553—516no—
795#552—516no—
796#552—516no—
797#552—516no—
798#552—516no—
799#544—516no—
800#544—516no—
801#542—516no—
802#542—516no—
803#542—516no—
804#542—516no—
805#542—516no—
806#542C2×D5116yescomplemented
807#541—516no—
808#541—516no—
809#539—516no—
810#539—516no—
811#533—516no—
812C2×C4⋊Q8—51no—
813C2×C4⋊Q8—51no—
814C2×C4⋊Q8—51no—
815C2×C4⋊Q8—51no—
816C2×C4⋊Q8—51no—
817C2×C4⋊Q8—51no—
818C2×C4⋊Q8—51no—
819C2×C4⋊Q8—51no—
820C2×C4⋊Q8—51no—
821C2×C4⋊Q8C2×D511yescharacteristic
822#529—516no—
823#529—516no—
824C2×#126—51no—
825C2×#126—51no—
826C2×#126—51no—
827C2×#126—51no—
828C2×#126—51no—
829C2×#126—51no—
830C2×#126—51no—
831C2×#126—51no—
832C2×#126—51no—
833C2×#126—51no—
834C2×#126—51no—
835C2×#126—51no—
836C2×#126—51no—
837C2×#126—51no—
838C2×#126—51no—
839C2×#126—51no—
840C2×#126—51no—
841C2×#126—51no—
842C2×#126C2×D511yescharacteristic
843C2×#126C2×D511yescharacteristic
844C2×#125—51no—
845C2×#125—51no—
846C2×#125—51no—
847C2×#125—51no—
848C2×#125—51no—
849C2×#125—51no—
850C2×#125—51no—
851C2×#125—51no—
852C2×#125—51no—
853C2×#125—51no—
854C2×#125—51no—
855C2×#125—51no—
856C2×#125—51no—
857C2×#125—51no—
858C2×#125—51no—
859C2×#125—51no—
860C2×#125—51no—
861C2×#125—51no—
862C2×#124—51no—
863C2×#124—51no—
864C2×#124—51no—
865C2×#124—51no—
866C2×#124—51no—
867C2×#124—51no—
868C2×#124—51no—
869C2×#124—51no—
870C2×#124—51no—
871C2×#124C2×D511yescharacteristic
872C2×#124C2×D511yescharacteristic
873C2×#124C2×D511yescharacteristic
874C2×#123—51no—
875C2×#123—51no—
876C2×#123—51no—
877C2×#123—51no—
878C2×#123—51no—
879C2×#123—51no—
880C2×#123—51no—
881C2×#123—51no—
882C2×#123—51no—
883C2×#123—51no—
884C2×#123—51no—
885C2×#123—51no—
886C2×#123—51no—
887C2×#123—51no—
888C2×#123C2×D511yescharacteristic
889C2×#123C2×D511yescharacteristic
890C2×C22⋊Q8—51no—
891C2×C22⋊Q8—51no—
892C2×C22⋊Q8—51no—
893C2×C22⋊Q8—51no—
894C2×C22⋊Q8—51no—
895C2×C22⋊Q8—51no—
896C2×C22⋊Q8—51no—
897C2×C22⋊Q8—51no—
898C2×C22⋊Q8—51no—
899C2×C22⋊Q8—51no—
900C2×C22⋊Q8—51no—
901C2×C22⋊Q8—51no—
902C2×C22⋊Q8—51no—
903C2×C22⋊Q8—51no—
904C2×C22⋊Q8—51no—
905C2×C22⋊Q8—51no—
906C2×C22⋊Q8—51no—
907C2×C22⋊Q8—51no—
908C2×C22⋊Q8—51no—
909C2×C22⋊Q8—51no—
910C2×C22⋊Q8—51no—
911C2×C22⋊Q8—51no—
912C2×C22⋊Q8—51no—
913C2×C22⋊Q8C2×D511yescharacteristic
914C2×C22⋊Q8C2×D511yescharacteristic
915C2×C22⋊Q8C2×D511yescharacteristic
916C2×#121—51no—
917C2×#121—51no—
918C2×#121—51no—
919C2×#121—51no—
920C2×#121—51no—
921C2×#121—51no—
922C2×#121—51no—
923C2×#121—51no—
924C2×#121—51no—
925C2×#121C2×D511yescharacteristic
926C2×C4×Q8—51no—
927C2×C4×Q8—51no—
928C2×C4×Q8—51no—
929C2×C4×Q8—51no—
930C2×C4×Q8—51no—
931C2×C4×Q8—51no—
932C2×C4×Q8—51no—
933C2×C4×Q8—51no—
934C2×C4×Q8—51no—
935C2×C4×Q8—51no—
936C2×C4×Q8—51no—
937C2×C4×Q8C2×D511yescharacteristic
938C2×C4×D4—51no—
939C2×C4×D4—51no—
940C2×C4×D4—51no—
941C2×C4×D4—51no—
942C2×C4×D4—51no—
943C2×C4×D4—51no—
944C2×C4×D4—51no—
945C2×C4×D4—51no—
946C2×C4×D4—51no—
947C2×C4×D4—51no—
948C2×C4×D4—51no—
949C2×C4×D4C2×D511yescharacteristic
950C2×#117—51no—
951C2×#117—51no—
952C2×#117—51no—
953C2×#117—51no—
954C2×#117—51no—
955C2×#117—51no—
956C2×#117—51no—
957C2×#117—51no—
958C2×#117—51no—
959C2×#117—51no—
960C2×#117—51no—
961C2×#117—51no—
962C2×#117—51no—
963C2×#117C2×D511yescharacteristic
964C22×C4⋊C4—51no—
965C22×C4⋊C4—51no—
966C22×C4⋊C4—51no—
967C22×C4⋊C4—51no—
968C22×C42—51no—
969C23×C5—22no—
970C23×C5—22no—
971C23×C5—22no—
972C23×C5—22no—
973C23×C5—22no—
974C23×C5—22no—
975C23×C5—22no—
976C23×C5—22no—
977C23×C5—22no—
978C23×C5C2512yes—
979C23×C5C2512yes—
980C23×C5C2512yes—
981C23×C5C2511yescharacteristic
982C22×D5—22no—
983C22×D5—22no—
984C22×D5—22no—
985C22×D5—22no—
986C22×D5—22no—
987C22×D5—22no—
988C22×D5C2512yes—
989C22×D5C2512yes—
990C5×Q8—44no—
991C5×Q8—44no—
992C5×Q8—44no—
993C5×D4—44no—
994C5×D4—44no—
995C5×D4—44no—
996C2×C4×C5—22no—
997C2×C4×C5—22no—
998C2×C4×C5—22no—
999C2×C4×C5—22no—
1000C2×C4×C5—22no—
1001C2×C4×C5—22no—
1002C2×C4×C5—22no—
1003C2×C4×C5—22no—
1004C2×C4×C5—22no—
1005C2×C4×C5—22no—
1006C2×C4×C5—22no—
1007C2×C4×C5—22no—
1008C2×C4×C5—44no—
1009C2×C4×C5—44no—
1010C2×C4×C5—44no—
1011C2×C4×C5C2512yes—
1012C2×C4×C5C2512yes—
1013C2×C4×C5C2512yes—
1014C2×C4×C5C2512yes—
1015C2×C4×C5C2512yes—
1016C2×C4×C5C2512yes—
1017C2×C4×C5C2512yes—
1018C2×C4×C5C2512yes—
1019C2×C4×C5C2512yes—
1020C2×C4×C5C2512yes—
1021C2×C4×C5C2512yes—
1022C2×C4×C5C2512yes—
1023C22⋊D5—28no—
1024C22⋊D5—44no—
1025C22⋊D5—44no—
1026C22⋊D5—44no—
1027C22⋊D5—44no—
1028C22⋊D5—44no—
1029C2×Dic5—22no—
1030C2×Dic5—22no—
1031C2×Dic5—22no—
1032C2×Dic5—22no—
1033C2×Dic5—22no—
1034C2×Dic5—22no—
1035C2×Dic5—22no—
1036C2×Dic5—22no—
1037C2×Dic5—22no—
1038C2×Dic5—22no—
1039C2×Dic5—22no—
1040C2×Dic5—22no—
1041C2×Dic5—22no—
1042C2×Dic5—28no—
1043C2×Dic5—28no—
1044C2×Dic5—44no—
1045C2×Dic5—44no—
1046C2×Dic5—44no—
1047C2×Dic5—44no—
1048C2×Dic52−1+414yes—
1049C2×Dic5C2512yes—
1050C2×Dic5C2512yes—
1051C2×Dic5C2512yes—
1052C2×Dic5C2512yes—
1053C2×Dic5C2512yes—
1054C2×Dic5C2512yes—
1055C2×Dic5C2512yes—
1056C2×Dic5C2512yes—
1057C2×Dic5C2512yes—
1058C2×Dic5C2512yes—
1059C2×Dic5C2512yes—
1060C2×Dic5C2512yes—
1061C2×Dic5C2512yes—
1062C2×Dic5C2512yes—
1063D20—44no—
1064C4×D5—28no—
1065C4×D5—44no—
1066C4×D5—44no—
1067C4×D5—44no—
1068C4×D5—44no—
1069C4×D5—44no—
1070Dic10—28no—
1071Dic10—44no—
1072Dic10—44no—
1073Dic10—44no—
1074Dic10—44no—
1075Dic10—44no—
1076Dic10—44no—
1077C22×Q8—51no—
1078C22×Q8—51no—
1079C22×Q8—51no—
1080C22×Q8—51no—
1081C22×Q8—51no—
1082C22×Q8—51no—
1083C22×Q8—51no—
1084C22×Q8C22×D511yescharacteristic
1085C22×Q8C22×D511yescharacteristic
1086C22×Q8C22×D511yescharacteristic
1087C22×D4—51no—
1088C22×D4—51no—
1089C22×D4—51no—
1090C22×D4—51no—
1091C22×D4—51no—
1092C22×D4—51no—
1093C22×D4—51no—
1094C22×D4C22×D511yescharacteristic
1095C22×D4C22×D511yescharacteristic
1096C22×D4C22×D511yescharacteristic
1097C23×C4—51no—
1098C23×C4—51no—
1099C23×C4—51no—
1100C23×C4—51no—
1101C23×C4—51no—
1102C23×C4—51no—
1103C23×C4—51no—
1104C23×C4—51no—
1105C23×C4—51no—
1106C23×C4—51no—
1107C23×C4—51no—
1108C23×C4—51no—
1109C23×C4C22×D511yescharacteristic
1110C23×C4C22×D511yescharacteristic
1111C23×C4C22×D511yescharacteristic
1112C4⋊Q8—58no—
1113C4⋊Q8—58no—
1114C4⋊Q8—58no—
1115C4⋊Q8—58no—
1116C4⋊Q8—58no—
1117C4⋊Q8—58no—
1118C4⋊Q8—58no—
1119C4⋊Q8—58no—
1120C4⋊Q8—58no—
1121C4⋊Q8C22×D518yes—
1122#126—58no—
1123#126—58no—
1124#126—58no—
1125#126—58no—
1126#126—58no—
1127#126—58no—
1128#126—58no—
1129#126—58no—
1130#126—58no—
1131#126—58no—
1132#126—58no—
1133#126—58no—
1134#126—58no—
1135#126—58no—
1136#126—58no—
1137#126—58no—
1138#126—58no—
1139#126—58no—
1140#126C22×D518yes—
1141#126C22×D518yes—
1142#125—58no—
1143#125—58no—
1144#125—58no—
1145#125—58no—
1146#125—58no—
1147#125—58no—
1148#125—58no—
1149#125—58no—
1150#125—58no—
1151#125—58no—
1152#125—58no—
1153#125—58no—
1154#125—58no—
1155#125—58no—
1156#125—58no—
1157#125—58no—
1158#125—58no—
1159#125—58no—
1160#124—58no—
1161#124—58no—
1162#124—58no—
1163#124—58no—
1164#124—58no—
1165#124—58no—
1166#124—58no—
1167#124—58no—
1168#124—58no—
1169#124C22×D518yes—
1170#124C22×D518yes—
1171#124C22×D518yes—
1172#123—58no—
1173#123—58no—
1174#123—58no—
1175#123—58no—
1176#123—58no—
1177#123—58no—
1178#123—58no—
1179#123—58no—
1180#123—58no—
1181#123—58no—
1182#123—58no—
1183#123—58no—
1184#123—58no—
1185#123—58no—
1186#123C22×D518yes—
1187#123C22×D518yes—
1188C22⋊Q8—58no—
1189C22⋊Q8—58no—
1190C22⋊Q8—58no—
1191C22⋊Q8—58no—
1192C22⋊Q8—58no—
1193C22⋊Q8—58no—
1194C22⋊Q8—58no—
1195C22⋊Q8—58no—
1196C22⋊Q8—58no—
1197C22⋊Q8—58no—
1198C22⋊Q8—58no—
1199C22⋊Q8—58no—
1200C22⋊Q8—58no—
1201C22⋊Q8—58no—
1202C22⋊Q8—58no—
1203C22⋊Q8—58no—
1204C22⋊Q8—58no—
1205C22⋊Q8—58no—
1206C22⋊Q8—58no—
1207C22⋊Q8—58no—
1208C22⋊Q8—58no—
1209C22⋊Q8—58no—
1210C22⋊Q8—58no—
1211C22⋊Q8C22×D518yes—
1212C22⋊Q8C22×D518yes—
1213C22⋊Q8C22×D518yes—
1214#121—58no—
1215#121—58no—
1216#121—58no—
1217#121—58no—
1218#121—58no—
1219#121—58no—
1220#121—58no—
1221#121—58no—
1222#121—58no—
1223#121C22×D518yes—
1224C4×Q8—58no—
1225C4×Q8—58no—
1226C4×Q8—58no—
1227C4×Q8—58no—
1228C4×Q8—58no—
1229C4×Q8—58no—
1230C4×Q8—58no—
1231C4×Q8—58no—
1232C4×Q8—58no—
1233C4×Q8—58no—
1234C4×Q8—58no—
1235C4×Q8C22×D518yes—
1236C4×D4—58no—
1237C4×D4—58no—
1238C4×D4—58no—
1239C4×D4—58no—
1240C4×D4—58no—
1241C4×D4—58no—
1242C4×D4—58no—
1243C4×D4—58no—
1244C4×D4—58no—
1245C4×D4—58no—
1246C4×D4—58no—
1247C4×D4C22×D518yes—
1248#117—58no—
1249#117—58no—
1250#117—58no—
1251#117—58no—
1252#117—58no—
1253#117—58no—
1254#117—58no—
1255#117—58no—
1256#117—58no—
1257#117—58no—
1258#117—58no—
1259#117—58no—
1260#117—58no—
1261#117C22×D518yes—
1262C2×C4⋊C4—51no—
1263C2×C4⋊C4—51no—
1264C2×C4⋊C4—51no—
1265C2×C4⋊C4—51no—
1266C2×C4⋊C4—51no—
1267C2×C4⋊C4—51no—
1268C2×C4⋊C4—51no—
1269C2×C4⋊C4—51no—
1270C2×C4⋊C4—51no—
1271C2×C4⋊C4—51no—
1272C2×C4⋊C4—51no—
1273C2×C4⋊C4—51no—
1274C2×C4⋊C4—51no—
1275C2×C4⋊C4—58no—
1276C2×C4⋊C4—58no—
1277C2×C4⋊C4—51no—
1278C2×C4⋊C4—51no—
1279C2×C4⋊C4—51no—
1280C2×C4⋊C4—51no—
1281C2×C4⋊C4—51no—
1282C2×C4⋊C4—51no—
1283C2×C4⋊C4—51no—
1284C2×C4⋊C4—51no—
1285C2×C4⋊C4—51no—
1286C2×C4⋊C4—51no—
1287C2×C4⋊C4—51no—
1288C2×C4⋊C4—51no—
1289C2×C4⋊C4—51no—
1290C2×C4⋊C4—51no—
1291C2×C4⋊C4—51no—
1292C2×C4⋊C4—51no—
1293C2×C4⋊C4—51no—
1294C2×C4⋊C4—51no—
1295C2×C4⋊C4—51no—
1296C2×C4⋊C4—51no—
1297C2×C4⋊C4—51no—
1298C2×C4⋊C4—51no—
1299C2×C4⋊C4—51no—
1300C2×C4⋊C4—51no—
1301C2×C4⋊C4—51no—
1302C2×C4⋊C4—51no—
1303C2×C4⋊C4—51no—
1304C2×C4⋊C4—51no—
1305C2×C4⋊C4—51no—
1306C2×C4⋊C4—51no—
1307C2×C4⋊C4—51no—
1308C2×C4⋊C4—51no—
1309C2×C4⋊C4—51no—
1310C2×C4⋊C4—51no—
1311C2×C4⋊C4—51no—
1312C2×C4⋊C4—51no—
1313C2×C4⋊C4—51no—
1314C2×C4⋊C4—58no—
1315C2×C4⋊C4—58no—
1316C2×C4⋊C4C22×D511yescharacteristic
1317C2×C4⋊C4C22×D511yescharacteristic
1318C2×C4⋊C4C22×D511yescharacteristic
1319C2×C4⋊C4C22×D511yescharacteristic
1320C2×C4⋊C4C22×D511yescharacteristic
1321C2×C4⋊C4C22×D511yescharacteristic
1322C2×C4⋊C4C22×D511yescharacteristic
1323C2×C4⋊C4C22×D511yescharacteristic
1324C2×C4⋊C4C22×D511yescharacteristic
1325C2×C4⋊C4C22×D511yescharacteristic
1326C2×C22⋊C4—51no—
1327C2×C22⋊C4—51no—
1328C2×C22⋊C4—51no—
1329C2×C22⋊C4—51no—
1330C2×C22⋊C4—51no—
1331C2×C22⋊C4—51no—
1332C2×C22⋊C4—51no—
1333C2×C22⋊C4—51no—
1334C2×C22⋊C4—51no—
1335C2×C22⋊C4—51no—
1336C2×C22⋊C4—51no—
1337C2×C22⋊C4—51no—
1338C2×C22⋊C4—51no—
1339C2×C22⋊C4—51no—
1340C2×C22⋊C4—51no—
1341C2×C22⋊C4—51no—
1342C2×C22⋊C4—51no—
1343C2×C22⋊C4—51no—
1344C2×C22⋊C4—51no—
1345C2×C22⋊C4—51no—
1346C2×C22⋊C4—51no—
1347C2×C22⋊C4—51no—
1348C2×C22⋊C4—51no—
1349C2×C22⋊C4—51no—
1350C2×C22⋊C4—51no—
1351C2×C22⋊C4—51no—
1352C2×C22⋊C4—51no—
1353C2×C22⋊C4—51no—
1354C2×C22⋊C4C22×D511yescharacteristic
1355C2×C22⋊C4C22×D511yescharacteristic
1356C2×C22⋊C4C22×D511yescharacteristic
1357C2×C22⋊C4C22×D511yescharacteristic
1358C2×C22⋊C4C22×D511yescharacteristic
1359C2×C22⋊C4C22×D511yescharacteristic
1360C2×C22⋊C4C22×D511yescharacteristic
1361C2×C22⋊C4C22×D511yescharacteristic
1362C2×C22⋊C4C22×D511yescharacteristic
1363C2×C22⋊C4C22×D511yescharacteristic
1364C2×C22⋊C4C22×D511yescharacteristic
1365C2×C22⋊C4C22×D511yescharacteristic
1366C2×C42—51no—
1367C2×C42—51no—
1368C2×C42—51no—
1369C2×C42—51no—
1370C2×C42—51no—
1371C2×C42—51no—
1372C2×C42—51no—
1373C2×C42—51no—
1374C2×C42—51no—
1375C2×C42—51no—
1376C2×C42—51no—
1377C2×C42—51no—
1378C2×C42—51no—
1379C2×C42—51no—
1380C2×C42—51no—
1381C2×C42—51no—
1382C2×C42—58no—
1383C2×C42C22×D511yescharacteristic
1384C2×C42C22×D511yescharacteristic
1385C2×C42C22×D511yescharacteristic
1386C2×C42C22×D511yescharacteristic
1387C22×C5—22no—
1388C22×C5—22no—
1389C22×C5—22no—
1390C22×C5—22no—
1391C22×C5—22no—
1392C22×C5—22no—
1393C22×C5—22no—
1394C22×C5—22no—
1395C22×C5—22no—
1396C22×C5—44no—
1397C22×C5—44no—
1398C22×C5—44no—
1399C22×C5C2×2−1+412yes—
1400C22×C5#58512yes—
1401C22×C5#58512yes—
1402C22×C5C2611yescharacteristic
1403C2×D5—22no—
1404C2×D5—22no—
1405C2×D5—22no—
1406C2×D5—22no—
1407C2×D5—22no—
1408C2×D5—22no—
1409C2×D5—44no—
1410C2×D5—44no—
1411C4×C5—22no—
1412C4×C5—22no—
1413C4×C5—22no—
1414C4×C5—22no—
1415C4×C5—22no—
1416C4×C5—22no—
1417C4×C5—22no—
1418C4×C5—22no—
1419C4×C5—22no—
1420C4×C5—22no—
1421C4×C5—22no—
1422C4×C5—22no—
1423Dic5—22no—
1424Dic5—22no—
1425Dic5—22no—
1426Dic5—22no—
1427Dic5—22no—
1428Dic5—22no—
1429Dic5—22no—
1430Dic5—22no—
1431Dic5—22no—
1432Dic5—22no—
1433Dic5—22no—
1434Dic5—22no—
1435Dic5—22no—
1436Dic5C2×2−1+414yes—
1437C24—51no—
1438C24—51no—
1439C24C23×D511yescharacteristic
1440C24C23×D511yescharacteristic
1441C24C23×D511yescharacteristic
1442C2×Q8—42no—
1443C2×Q8—42no—
1444C2×Q8—42no—
1445C2×Q8—54no—
1446C2×Q8—54no—
1447C2×Q8—54no—
1448C2×Q8—54no—
1449C2×Q8—54no—
1450C2×Q8—54no—
1451C2×Q8—54no—
1452C2×Q8—104no—
1453C2×Q8—202no—
1454C2×Q8—202no—
1455C2×Q8—202no—
1456C2×Q8—202no—
1457C2×Q8—202no—
1458C2×Q8—202no—
1459C2×Q8C23×D514yes—
1460C2×Q8C23×D514yes—
1461C2×Q8C23×D514yes—
1462C2×D4—42no—
1463C2×D4—42no—
1464C2×D4—42no—
1465C2×D4—54no—
1466C2×D4—54no—
1467C2×D4—54no—
1468C2×D4—54no—
1469C2×D4—54no—
1470C2×D4—54no—
1471C2×D4—54no—
1472C2×D4—104no—
1473C2×D4—202no—
1474C2×D4—202no—
1475C2×D4—202no—
1476C2×D4—202no—
1477C2×D4—202no—
1478C2×D4—202no—
1479C2×D4C23×D514yes—
1480C2×D4C23×D514yes—
1481C2×D4C23×D514yes—
1482C22×C4—42no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—51no—
1486C22×C4—54no—
1487C22×C4—54no—
1488C22×C4—51no—
1489C22×C4—51no—
1490C22×C4—51no—
1491C22×C4—51no—
1492C22×C4—51no—
1493C22×C4—51no—
1494C22×C4—51no—
1495C22×C4—51no—
1496C22×C4—51no—
1497C22×C4—51no—
1498C22×C4—51no—
1499C22×C4—51no—
1500C22×C4—51no—
1501C22×C4—54no—
1502C22×C4—54no—
1503C22×C4—54no—
1504C22×C4—54no—
1505C22×C4—54no—
1506C22×C4—54no—
1507C22×C4—54no—
1508C22×C4—54no—
1509C22×C4—54no—
1510C22×C4—54no—
1511C22×C4—104no—
1512C22×C4—104no—
1513C22×C4—104no—
1514C22×C4—202no—
1515C22×C4—202no—
1516C22×C4—202no—
1517C22×C4—202no—
1518C22×C4—202no—
1519C22×C4—202no—
1520C22×C4—202no—
1521C22×C4—202no—
1522C22×C4—202no—
1523C22×C4C23×D511yescharacteristic
1524C22×C4C23×D511yescharacteristic
1525C22×C4C23×D511yescharacteristic
1526C22×C4C23×D511yescharacteristic
1527C22×C4C23×D511yescharacteristic
1528C22×C4C23×D511yescharacteristic
1529C22×C4C23×D511yescharacteristic
1530C22×C4C23×D511yescharacteristic
1531C22×C4C23×D511yescharacteristic
1532C22×C4C23×D511yescharacteristic
1533C22×C4C23×D511yescharacteristic
1534C22×C4C23×D511yescharacteristic
1535C22×C4C23×D514yes—
1536C22×C4C23×D514yes—
1537C22×C4C23×D514yes—
1538C4⋊C4—54no—
1539C4⋊C4—54no—
1540C4⋊C4—54no—
1541C4⋊C4—54no—
1542C4⋊C4—54no—
1543C4⋊C4—54no—
1544C4⋊C4—54no—
1545C4⋊C4—54no—
1546C4⋊C4—54no—
1547C4⋊C4—54no—
1548C4⋊C4—54no—
1549C4⋊C4—54no—
1550C4⋊C4—54no—
1551C4⋊C4—54no—
1552C4⋊C4—54no—
1553C4⋊C4—54no—
1554C4⋊C4—54no—
1555C4⋊C4—54no—
1556C4⋊C4—54no—
1557C4⋊C4—54no—
1558C4⋊C4—54no—
1559C4⋊C4—54no—
1560C4⋊C4—54no—
1561C4⋊C4—54no—
1562C4⋊C4—54no—
1563C4⋊C4—54no—
1564C4⋊C4—54no—
1565C4⋊C4—54no—
1566C4⋊C4—54no—
1567C4⋊C4—54no—
1568C4⋊C4—54no—
1569C4⋊C4—54no—
1570C4⋊C4—54no—
1571C4⋊C4—54no—
1572C4⋊C4—54no—
1573C4⋊C4—54no—
1574C4⋊C4—54no—
1575C4⋊C4—54no—
1576C4⋊C4—54no—
1577C4⋊C4—54no—
1578C4⋊C4—54no—
1579C4⋊C4—54no—
1580C4⋊C4—54no—
1581C4⋊C4—54no—
1582C4⋊C4—54no—
1583C4⋊C4—54no—
1584C4⋊C4—54no—
1585C4⋊C4—54no—
1586C4⋊C4—54no—
1587C4⋊C4—54no—
1588C4⋊C4C23×D514yes—
1589C4⋊C4C23×D514yes—
1590C4⋊C4C23×D514yes—
1591C4⋊C4C23×D514yes—
1592C4⋊C4C23×D514yes—
1593C4⋊C4C23×D514yes—
1594C4⋊C4C23×D514yes—
1595C4⋊C4C23×D514yes—
1596C4⋊C4C23×D514yes—
1597C4⋊C4C23×D514yes—
1598C22⋊C4—54no—
1599C22⋊C4—54no—
1600C22⋊C4—54no—
1601C22⋊C4—54no—
1602C22⋊C4—54no—
1603C22⋊C4—54no—
1604C22⋊C4—54no—
1605C22⋊C4—54no—
1606C22⋊C4—54no—
1607C22⋊C4—54no—
1608C22⋊C4—54no—
1609C22⋊C4—54no—
1610C22⋊C4—54no—
1611C22⋊C4—54no—
1612C22⋊C4—54no—
1613C22⋊C4—54no—
1614C22⋊C4—54no—
1615C22⋊C4—54no—
1616C22⋊C4—54no—
1617C22⋊C4—54no—
1618C22⋊C4—54no—
1619C22⋊C4—54no—
1620C22⋊C4—54no—
1621C22⋊C4—54no—
1622C22⋊C4—54no—
1623C22⋊C4—54no—
1624C22⋊C4—54no—
1625C22⋊C4—54no—
1626C22⋊C4C23×D514yes—
1627C22⋊C4C23×D514yes—
1628C22⋊C4C23×D514yes—
1629C22⋊C4C23×D514yes—
1630C22⋊C4C23×D514yes—
1631C22⋊C4C23×D514yes—
1632C22⋊C4C23×D514yes—
1633C22⋊C4C23×D514yes—
1634C22⋊C4C23×D514yes—
1635C22⋊C4C23×D514yes—
1636C22⋊C4C23×D514yes—
1637C22⋊C4C23×D514yes—
1638C42—54no—
1639C42—54no—
1640C42—54no—
1641C42—54no—
1642C42—54no—
1643C42—54no—
1644C42—54no—
1645C42—54no—
1646C42—54no—
1647C42—54no—
1648C42—54no—
1649C42—54no—
1650C42—54no—
1651C42—54no—
1652C42—54no—
1653C42—54no—
1654C42C23×D514yes—
1655C42C23×D514yes—
1656C42C23×D514yes—
1657C42C23×D514yes—
1658C2×C5—42no—
1659C2×C5—42no—
1660C2×C5—42no—
1661C2×C5#356514yescomplemented
1662C2×C5C22×2−1+411yescharacteristic
1663C2×C5C2×#58511yescharacteristic
1664C2×C5C2×#58511yescharacteristic
1665D5—42no—
1666D5—42no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—52no—
1677C23—52no—
1678C23—102no—
1679C23—102no—
1680C23—102no—
1681C23—102no—
1682C23—102no—
1683C23—102no—
1684C23C24×D512yes—
1685C23C24×D512yes—
1686C23C24×D512yes—
1687C23C24×D511yescharacteristic
1688Q8—44no—
1689Q8—44no—
1690Q8—44no—
1691Q8—108no—
1692Q8—204no—
1693Q8—204no—
1694Q8—204no—
1695Q8—204no—
1696Q8—204no—
1697Q8—204no—
1698D4—44no—
1699D4—44no—
1700D4—44no—
1701D4—108no—
1702D4—204no—
1703D4—204no—
1704D4—204no—
1705D4—204no—
1706D4—204no—
1707D4—204no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—54no—
1724C2×C4—52no—
1725C2×C4—52no—
1726C2×C4—52no—
1727C2×C4—52no—
1728C2×C4—52no—
1729C2×C4—52no—
1730C2×C4—52no—
1731C2×C4—52no—
1732C2×C4—52no—
1733C2×C4—52no—
1734C2×C4—52no—
1735C2×C4—52no—
1736C2×C4—52no—
1737C2×C4—52no—
1738C2×C4—108no—
1739C2×C4—108no—
1740C2×C4—108no—
1741C2×C4—102no—
1742C2×C4—102no—
1743C2×C4—102no—
1744C2×C4—102no—
1745C2×C4—102no—
1746C2×C4—102no—
1747C2×C4—102no—
1748C2×C4—102no—
1749C2×C4—102no—
1750C2×C4—102no—
1751C2×C4—102no—
1752C2×C4—102no—
1753C2×C4—102no—
1754C2×C4—204no—
1755C2×C4—204no—
1756C2×C4—204no—
1757C2×C4—204no—
1758C2×C4—204no—
1759C2×C4—204no—
1760C2×C4—204no—
1761C2×C4—204no—
1762C2×C4—204no—
1763C2×C4C24×D512yes—
1764C2×C4C24×D512yes—
1765C2×C4C24×D512yes—
1766C2×C4C24×D512yes—
1767C2×C4C24×D512yes—
1768C2×C4C24×D512yes—
1769C2×C4C24×D512yes—
1770C2×C4C24×D512yes—
1771C2×C4C24×D512yes—
1772C2×C4C24×D512yes—
1773C2×C4C24×D512yes—
1774C2×C4C24×D512yes—
1775C5C2×#356511yescharacteristic, complemented, Sylow
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—44no—
1786C22—44no—
1787C22—44no—
1788C22—102no—
1789C22—102no—
1790C22—102no—
1791C22—102no—
1792C22—102no—
1793C22—102no—
1794C22—204no—
1795C22—204no—
1796C22#6628312yes—
1797C22#6628512yes—
1798C22D5×2−1+412yes—
1799C22C25×D511yescharacteristic
1800C4—22no—
1801C4—22no—
1802C4—22no—
1803C4—22no—
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—54no—
1813C4—102no—
1814C4—102no—
1815C4—102no—
1816C4—102no—
1817C4—102no—
1818C4—102no—
1819C4—102no—
1820C4—102no—
1821C4—102no—
1822C4—102no—
1823C4—102no—
1824C4—102no—
1825C4—102no—
1826C2—42no—
1827C2—42no—
1828C2—42no—
1829C2—202no—
1830C2—202no—
1831C2#1061844514yesdirect product factor
1832C2C2×#6628311yescharacteristic
1833C2C2×#6628511yescharacteristic
1834C2C2×D5×2−1+411yescharacteristic
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×#542C2
socleC23×C5C25
hypercenterC2×#542D5
hypocenterC5C2×#3565
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. C2×C5×#542C2semidirect
2. #10618445C2direct (N × H)
3. C2×#66063C2semidirect
4. C2×#66065C2semidirect
5. C2×#66042C2semidirect
6. C2×#66046C2semidirect
7. C2×#66044C2semidirect
8. C2×#66035C2semidirect
9. C2×#66016C2semidirect
10. C2×#66006C2semidirect
11. C2×#66018C2semidirect
12. C2×#66005C2semidirect
13. C2×#66004C2semidirect
14. C2×#66003C2semidirect
15. C2×#65995C2semidirect
16. C2×#65984C2semidirect
17. C2×#65996C2semidirect
18. C2×#65983C2semidirect
19. C2×#65972C2semidirect
20. C2×#65975C2semidirect
21. C2×#65970C2semidirect
22. C2×#65957C2semidirect
23. C2×#65974C2semidirect
24. C2×#65956C2semidirect
25. C2×#65955C2semidirect
26. C2×#65935C2semidirect
27. C2×#65901C2semidirect
28. C2×#65902C2semidirect
29. C2×#65898C2semidirect
30. C2×#65872C2semidirect
31. C2×#65863C2semidirect
32. C2×#65865C2semidirect
33. C5×#542C22semidirect
85. #66065C22semidirect
86. #66063C22semidirect
87. #66046C22semidirect
88. #66044C22semidirect
89. #66042C22semidirect
90. #66035C22semidirect
91. #66018C22semidirect
92. #66016C22semidirect
93. #66006C22semidirect
94. #66005C22semidirect
95. #66004C22semidirect
96. #66003C22semidirect
97. #65996C22semidirect
98. #65995C22semidirect
99. #65984C22semidirect
100. #65983C22semidirect
101. #65975C22semidirect
102. #65974C22semidirect
103. #65972C22semidirect
104. #65970C22semidirect
105. #65957C22semidirect
106. #65956C22semidirect
107. #65955C22semidirect
108. #65935C22semidirect
109. #65902C22semidirect
110. #65901C22semidirect
111. #65898C22semidirect
112. #65872C22semidirect
113. #65865C22semidirect
114. #65863C22semidirect
554. C2×#542D5semidirect
806. #542C2×D5semidirect
1661. C2×C5#3565semidirect
1775. C5C2×#3565semidirect
1831. C2#10618445direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5422
#106184452
C2×#660632
C2×#660652
C2×#660422
C2×#660462
C2×#660442
C2×#660352
C2×#660162
C2×#660062
C2×#660182
C2×#660052
C2×#660042
C2×#660032
C2×#659952
C2×#659842
C2×#659962
C2×#659832
C2×#659722
C2×#659752
C2×#659702
C2×#659572
C2×#659742
C2×#659562
C2×#659552
C2×#659352
C2×#659012
C2×#659022
C2×#658982
C2×#658722
C2×#658632
C2×#658652
C2×#35655