Finite Group Databasebeta

← C2×#10618365 #13006659

Subgroups — C2×#10618365 #13006659

Order 1280.

7194 conjugacy classes of subgroups.

The subgroup lattice has 1956 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#539C211yesmaximal, characteristic, complemented
2#10618365C2132yesmaximal, direct product factor
3C2×#66041C211yesmaximal, characteristic, complemented
4C2×#66046C211yesmaximal, characteristic, complemented
5C2×#66043C211yesmaximal, characteristic, complemented
6C2×#66040C211yesmaximal, characteristic, complemented
7C2×#66023C211yesmaximal, characteristic, complemented
8C2×#66026C211yesmaximal, characteristic, complemented
9C2×#66026C211yesmaximal, characteristic, complemented
10C2×D5×#125C211yesmaximal, characteristic, complemented
11C2×#66001C211yesmaximal, characteristic, complemented
12C2×#66001C211yesmaximal, characteristic, complemented
13C2×#65989C211yesmaximal, characteristic, complemented
14C2×#65989C211yesmaximal, characteristic, complemented
15C2×#65994C211yesmaximal, characteristic, complemented
16C2×#65995C211yesmaximal, characteristic, complemented
17C2×#65995C211yesmaximal, characteristic, complemented
18C2×#65997C211yesmaximal, characteristic, complemented
19C2×#65965C211yesmaximal, characteristic, complemented
20C2×#65965C211yesmaximal, characteristic, complemented
21C2×#65963C211yesmaximal, characteristic, complemented
22C2×#65980C211yesmaximal, characteristic, complemented
23C2×#65970C211yesmaximal, characteristic, complemented
24C2×#65957C211yesmaximal, characteristic, complemented
25C2×#65942C211yesmaximal, characteristic, complemented
26C2×#65949C211yesmaximal, characteristic, complemented
27C2×#65885C211yesmaximal, characteristic, complemented
28C2×#65882C211yesmaximal, characteristic, complemented
29C2×#65874C211yesmaximal, characteristic, complemented
30C2×#65898C211yesmaximal, characteristic, complemented
31C2×#65841C211yesmaximal, characteristic, complemented
32C2×#65845C211yesmaximal, characteristic, complemented
33C22×#713C2211yescharacteristic
34C22×#711C2211yescharacteristic
35C22×#709C2211yescharacteristic
36C22×#709C2211yescharacteristic
37C22×#709C2211yescharacteristic
38C22×#709C2211yescharacteristic
39C5×#539C22116yescomplemented
40C2×C5×#126C2211yescharacteristic
41C2×C5×#126C2211yescharacteristic
42C2×C5×#125C2211yescharacteristic
43C2×C5×#125C2211yescharacteristic
44C2×C5×#123C2211yescharacteristic
45C2×C5×#123C2211yescharacteristic
46C2×C5×#123C2211yescharacteristic
47C2×C5×#123C2211yescharacteristic
48C2×C5×C22⋊Q8C2211yescharacteristic
49C2×C5×C22⋊Q8C2211yescharacteristic
50C2×C5×C22⋊Q8C2211yescharacteristic
51C2×C5×#121C2211yescharacteristic
52C2×C4×C5×D4C2211yescharacteristic
53C2×C4×C5×D4C2211yescharacteristic
54C22×C5×C4⋊C4C2211yescharacteristic
55C2×#4092C2211yescharacteristic
56C2×#4090C2211yescharacteristic
57C2×#4090C2211yescharacteristic
58C2×#4086C2211yescharacteristic
59C2×#4085C2211yescharacteristic
60C2×#4085C2211yescharacteristic
61C2×#4085C2211yescharacteristic
62C2×#4085C2211yescharacteristic
63C2×#4085C2211yescharacteristic
64C2×#4084C2211yescharacteristic
65C2×#4084C2211yescharacteristic
66C2×#4084C2211yescharacteristic
67C2×#4084C2211yescharacteristic
68C2×#4081C2211yescharacteristic
69C2×#4076C2211yescharacteristic
70C2×#4076C2211yescharacteristic
71C2×#4075C2211yescharacteristic
72C2×#4075C2211yescharacteristic
73C2×C4×C22⋊D5C2211yescharacteristic
74C2×C4×C22⋊D5C2211yescharacteristic
75C2×C4×C22⋊D5C2211yescharacteristic
76C2×C4×C22⋊D5C2211yescharacteristic
77C2×C4×C22⋊D5C2211yescharacteristic
78C2×C4×C22⋊D5C2211yescharacteristic
79C2×#4070C2211yescharacteristic
80C2×#4070C2211yescharacteristic
81C2×#4070C2211yescharacteristic
82C2×#4070C2211yescharacteristic
83C22×#683C2211yescharacteristic
84C22×#683C2211yescharacteristic
85#66046C22116yescomplemented
86#66043C22116yescomplemented
87#66041C22116yescomplemented
88#66040C22116yescomplemented
89#66026C22116yescomplemented
90#66026C22116yescomplemented
91#66023C22116yescomplemented
92D5×#125C22116yescomplemented
93#66001C22116yescomplemented
94#66001C22116yescomplemented
95#65997C22116yescomplemented
96#65995C22116yescomplemented
97#65995C22116yescomplemented
98#65994C22116yescomplemented
99#65989C22116yescomplemented
100#65989C22116yescomplemented
101#65980C22116yescomplemented
102#65970C22116yescomplemented
103#65965C22116yescomplemented
104#65965C22116yescomplemented
105#65963C22116yescomplemented
106#65957C22116yescomplemented
107#65949C22116yescomplemented
108#65942C22116yescomplemented
109#65898C22116yescomplemented
110#65885C22116yescomplemented
111#65882C22116yescomplemented
112#65874C22116yescomplemented
113C2×#4044C2211yescharacteristic
114C2×#4044C2211yescharacteristic
115C2×#4044C2211yescharacteristic
116#65845C22116yescomplemented
117C2×#4043C2211yescharacteristic
118C2×#4043C2211yescharacteristic
119C2×#4043C2211yescharacteristic
120C2×#4043C2211yescharacteristic
121C2×#4042C2211yescharacteristic
122C2×#4042C2211yescharacteristic
123C2×#4042C2211yescharacteristic
124C2×#4042C2211yescharacteristic
125C2×#4042C2211yescharacteristic
126C2×#4042C2211yescharacteristic
127C2×#4042C2211yescharacteristic
128C2×#4042C2211yescharacteristic
129#65841C22116yescomplemented
130C2×#4041C2211yescharacteristic
131C2×#4041C2211yescharacteristic
132C2×#4041C2211yescharacteristic
133C2×#4040C2211yescharacteristic
134C2×#4040C2211yescharacteristic
135C2×#4040C2211yescharacteristic
136C2×#4040C2211yescharacteristic
137C2×#4040C2211yescharacteristic
138C2×#4040C2211yescharacteristic
139C2×#4040C2211yescharacteristic
140C2×#4040C2211yescharacteristic
141C2×#4039C2211yescharacteristic
142C2×#4039C2211yescharacteristic
143C2×#4039C2211yescharacteristic
144C2×#4038C2211yescharacteristic
145C2×D5×C4⋊C4C2211yescharacteristic
146C2×D5×C4⋊C4C2211yescharacteristic
147C2×D5×C4⋊C4C2211yescharacteristic
148C2×D5×C4⋊C4C2211yescharacteristic
149C2×D5×C4⋊C4C2211yescharacteristic
150C2×D5×C4⋊C4C2211yescharacteristic
151C2×D5×C4⋊C4C2211yescharacteristic
152C2×D5×C4⋊C4C2211yescharacteristic
153C2×D5×C4⋊C4C2211yescharacteristic
154C2×#4036C2211yescharacteristic
155C2×#4036C2211yescharacteristic
156C2×#4036C2211yescharacteristic
157C2×#4035C2211yescharacteristic
158C2×#4035C2211yescharacteristic
159C2×#4035C2211yescharacteristic
160C2×#4035C2211yescharacteristic
161C2×#4035C2211yescharacteristic
162C2×#4035C2211yescharacteristic
163C2×#4035C2211yescharacteristic
164C2×#4035C2211yescharacteristic
165C2×#4035C2211yescharacteristic
166C2×#4034C2211yescharacteristic
167C2×#4034C2211yescharacteristic
168C2×#4034C2211yescharacteristic
169C2×#4034C2211yescharacteristic
170C2×#4033C2211yescharacteristic
171C2×#4032C2211yescharacteristic
172C2×#4032C2211yescharacteristic
173C2×#4032C2211yescharacteristic
174C2×#4031C2211yescharacteristic
175C2×#4031C2211yescharacteristic
176C2×#4031C2211yescharacteristic
177C2×#4030C2211yescharacteristic
178C2×#4030C2211yescharacteristic
179C2×#4030C2211yescharacteristic
180C2×#4030C2211yescharacteristic
181C2×#4030C2211yescharacteristic
182C2×#4030C2211yescharacteristic
183C2×#4030C2211yescharacteristic
184C2×#4030C2211yescharacteristic
185C2×#4030C2211yescharacteristic
186C2×#4030C2211yescharacteristic
187C2×#4029C2211yescharacteristic
188C2×#4029C2211yescharacteristic
189C2×#4029C2211yescharacteristic
190C2×#4029C2211yescharacteristic
191C2×#4029C2211yescharacteristic
192C2×#4029C2211yescharacteristic
193C2×#4029C2211yescharacteristic
194C2×#4029C2211yescharacteristic
195C2×#4027C2211yescharacteristic
196C2×#4027C2211yescharacteristic
197C2×#4027C2211yescharacteristic
198C2×#4027C2211yescharacteristic
199C2×#4027C2211yescharacteristic
200C2×#4027C2211yescharacteristic
201C2×#4025C2211yescharacteristic
202C2×#4025C2211yescharacteristic
203C2×#4025C2211yescharacteristic
204C2×#4024C2211yescharacteristic
205C2×#4024C2211yescharacteristic
206C2×#4024C2211yescharacteristic
207C2×#4024C2211yescharacteristic
208C2×#4024C2211yescharacteristic
209C2×#4023C2211yescharacteristic
210C2×#4023C2211yescharacteristic
211C2×#4022C2211yescharacteristic
212C2×#4022C2211yescharacteristic
213C2×C4×D20C2211yescharacteristic
214C2×C4×D20C2211yescharacteristic
215C2×#4018C2211yescharacteristic
216C2×C42×D5C2211yescharacteristic
217C2×#4016C2211yescharacteristic
218C2×#4015C2211yescharacteristic
219C2×#3559—51nomaximal, Sylow
220C22×C5×Q8C2311yescharacteristic
221C22×C5×D4C2311yescharacteristic
222C22×C5×D4C2311yescharacteristic
223C22×C5×D4C2311yescharacteristic
224C23×C4×C5C2311yescharacteristic
225C23×C4×C5C2311yescharacteristic
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
235C22×C22⋊D5C2311yescharacteristic
236C22×C22⋊D5C2311yescharacteristic
237C22×C22⋊D5C2311yescharacteristic
238C22×C22⋊D5C2311yescharacteristic
239C22×C22⋊D5C2311yescharacteristic
240C22×C22⋊D5C2311yescharacteristic
241C23×Dic5C2311yescharacteristic
242C23×Dic5C2311yescharacteristic
243C23×Dic5C2311yescharacteristic
244C23×Dic5C2311yescharacteristic
245C2×#713—44no—
246C2×#713C2318yes—
247C2×#711—44no—
248C2×#711C2318yes—
249C2×#709—44no—
250C2×#709—44no—
251C2×#709—44no—
252C2×#709—44no—
253C2×#709C2318yes—
254C2×#709C2318yes—
255C2×#709C2318yes—
256C2×#709C2318yes—
257C22×D20C2311yescharacteristic
258C22×D20C2311yescharacteristic
259C22×D20C2311yescharacteristic
260C22×D20C2311yescharacteristic
261C22×D20C2311yescharacteristic
262C22×D20C2311yescharacteristic
263C22×C4×D5C2311yescharacteristic
264C22×C4×D5C2311yescharacteristic
265C22×C4×D5C2311yescharacteristic
266C22×C4×D5C2311yescharacteristic
267C22×C4×D5C2311yescharacteristic
268C22×C4×D5C2311yescharacteristic
269C22×C4×D5C2311yescharacteristic
270C22×C4×D5C2311yescharacteristic
271C22×C4×D5C2311yescharacteristic
272C22×C4×D5C2311yescharacteristic
273C22×C4×D5C2311yescharacteristic
274C22×C4×D5C2311yescharacteristic
275C22×C4×D5C2311yescharacteristic
276C22×C4×D5C2311yescharacteristic
277C22×C4×D5C2311yescharacteristic
278C22×C4×D5C2311yescharacteristic
279C22×Dic10C2311yescharacteristic
280C22×Dic10C2311yescharacteristic
281C22×Dic10C2311yescharacteristic
282C22×Dic10C2311yescharacteristic
283C22×Dic10C2311yescharacteristic
284C22×Dic10C2311yescharacteristic
285C5×#126C2318yes—
286C5×#126C2318yes—
287C5×#125C2318yes—
288C5×#125C2318yes—
289C5×#123C2318yes—
290C5×#123C2318yes—
291C5×#123C2318yes—
292C5×#123C2318yes—
293C5×C22⋊Q8C2318yes—
294C5×C22⋊Q8C2318yes—
295C5×C22⋊Q8C2318yes—
296C5×#121C2318yes—
297C4×C5×D4C2318yes—
298C4×C5×D4C2318yes—
299C2×C5×C4⋊C4C2311yescharacteristic
300C2×C5×C4⋊C4C2311yescharacteristic
301C2×C5×C4⋊C4C2311yescharacteristic
302C2×C5×C4⋊C4C2311yescharacteristic
303C2×C5×C4⋊C4C2311yescharacteristic
304C2×C5×C4⋊C4C2311yescharacteristic
305C2×C5×C4⋊C4C2311yescharacteristic
306C2×C5×C4⋊C4C2311yescharacteristic
307C2×C5×C4⋊C4C2311yescharacteristic
308C2×C5×C4⋊C4C2311yescharacteristic
309C2×C5×C4⋊C4C2311yescharacteristic
310C2×C5×C4⋊C4C2311yescharacteristic
311C2×C5×C4⋊C4C2311yescharacteristic
312C2×C5×C4⋊C4C2311yescharacteristic
313C2×C5×C4⋊C4C2318yes—
314C2×C5×C22⋊C4C2311yescharacteristic
315C2×C5×C22⋊C4C2311yescharacteristic
316C2×C5×C22⋊C4C2311yescharacteristic
317C2×C5×C22⋊C4C2311yescharacteristic
318C2×C5×C22⋊C4C2311yescharacteristic
319C2×C5×C22⋊C4C2311yescharacteristic
320C2×C5×C22⋊C4C2311yescharacteristic
321C2×C5×C22⋊C4C2311yescharacteristic
322C2×C5×C22⋊C4C2311yescharacteristic
323C2×C5×C22⋊C4C2311yescharacteristic
324C2×C42×C5C2311yescharacteristic
325C2×C42×C5C2311yescharacteristic
326C2×C22⋊Dic5C2311yescharacteristic
327C2×C22⋊Dic5C2311yescharacteristic
328C2×C22⋊Dic5C2311yescharacteristic
329C2×C22⋊Dic5C2311yescharacteristic
330C2×C22⋊Dic5C2311yescharacteristic
331C2×C22⋊Dic5C2311yescharacteristic
332C2×C22⋊Dic5C2311yescharacteristic
333C2×C22⋊Dic5C2311yescharacteristic
334#4092C2318yes—
335#4090C2318yes—
336#4090C2318yes—
337#4086C2318yes—
338#4085C2318yes—
339#4085C2318yes—
340#4085C2318yes—
341#4085C2318yes—
342#4085C2318yes—
343#4084C2318yes—
344#4084C2318yes—
345#4084C2318yes—
346#4084C2318yes—
347#4081C2318yes—
348#4076C2318yes—
349#4076C2318yes—
350#4075C2318yes—
351#4075C2318yes—
352C4×C22⋊D5C2318yes—
353C4×C22⋊D5C2318yes—
354C4×C22⋊D5C2318yes—
355C4×C22⋊D5C2318yes—
356C4×C22⋊D5C2318yes—
357C4×C22⋊D5C2318yes—
358C2×#685C2311yescharacteristic
359C2×#685C2311yescharacteristic
360C2×#685C2311yescharacteristic
361C2×#685C2311yescharacteristic
362C2×#685C2311yescharacteristic
363C2×#685C2311yescharacteristic
364C2×#685C2311yescharacteristic
365C2×#685C2311yescharacteristic
366C2×#685C2311yescharacteristic
367C2×#685C2311yescharacteristic
368C2×#685C2311yescharacteristic
369C2×#685C2311yescharacteristic
370C2×#685C2311yescharacteristic
371C2×#685C2311yescharacteristic
372C2×#685C2311yescharacteristic
373C2×#685C2311yescharacteristic
374C2×#685C2311yescharacteristic
375C2×#685C2311yescharacteristic
376C2×#685C2311yescharacteristic
377C2×#685C2311yescharacteristic
378C2×C4⋊Dic5C2311yescharacteristic
379C2×C4⋊Dic5C2311yescharacteristic
380C2×C4⋊Dic5C2311yescharacteristic
381C2×C4⋊Dic5C2311yescharacteristic
382C2×C4⋊Dic5C2311yescharacteristic
383C2×C4⋊Dic5C2311yescharacteristic
384C2×C4⋊Dic5C2311yescharacteristic
385C2×C4⋊Dic5C2311yescharacteristic
386C2×C4⋊Dic5C2311yescharacteristic
387C2×C4⋊Dic5C2311yescharacteristic
388C2×C4⋊Dic5C2311yescharacteristic
389C2×C4⋊Dic5C2311yescharacteristic
390#4070C2318yes—
391#4070C2318yes—
392#4070C2318yes—
393#4070C2318yes—
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×#683C2311yescharacteristic
408C2×#683C2311yescharacteristic
409C2×#683C2311yescharacteristic
410C2×#683C2311yescharacteristic
411C2×#683C2311yescharacteristic
412C2×#683C2311yescharacteristic
413C2×#683C2311yescharacteristic
414C2×#683C2311yescharacteristic
415C2×#683C2311yescharacteristic
416C2×#683C2311yescharacteristic
417C2×#683C2311yescharacteristic
418C2×#683C2311yescharacteristic
419C2×#683C2311yescharacteristic
420C2×#683C2311yescharacteristic
421C2×#683C2311yescharacteristic
422C2×#683C2318yes—
423C2×#683C2318yes—
424C2×C4×Dic5C2311yescharacteristic
425C2×C4×Dic5C2311yescharacteristic
426C2×C4×Dic5C2311yescharacteristic
427C2×C4×Dic5C2311yescharacteristic
428C2×C4×Dic5C2311yescharacteristic
429C2×C4×Dic5C2311yescharacteristic
430C2×C4×Dic5C2311yescharacteristic
431C2×C4×Dic5C2311yescharacteristic
432#4044C2318yes—
433#4044C2318yes—
434#4044C2318yes—
435#4043C2318yes—
436#4043C2318yes—
437#4043C2318yes—
438#4043C2318yes—
439#4042C2318yes—
440#4042C2318yes—
441#4042C2318yes—
442#4042C2318yes—
443#4042C2318yes—
444#4042C2318yes—
445#4042C2318yes—
446#4042C2318yes—
447#4041C2318yes—
448#4041C2318yes—
449#4041C2318yes—
450#4040C2318yes—
451#4040C2318yes—
452#4040C2318yes—
453#4040C2318yes—
454#4040C2318yes—
455#4040C2318yes—
456#4040C2318yes—
457#4040C2318yes—
458#4039C2318yes—
459#4039C2318yes—
460#4039C2318yes—
461#4038C2318yes—
462D5×C4⋊C4C2318yes—
463D5×C4⋊C4C2318yes—
464D5×C4⋊C4C2318yes—
465D5×C4⋊C4C2318yes—
466D5×C4⋊C4C2318yes—
467D5×C4⋊C4C2318yes—
468D5×C4⋊C4C2318yes—
469D5×C4⋊C4C2318yes—
470D5×C4⋊C4C2318yes—
471#4036C2318yes—
472#4036C2318yes—
473#4036C2318yes—
474#4035C2318yes—
475#4035C2318yes—
476#4035C2318yes—
477#4035C2318yes—
478#4035C2318yes—
479#4035C2318yes—
480#4035C2318yes—
481#4035C2318yes—
482#4035C2318yes—
483#4034C2318yes—
484#4034C2318yes—
485#4034C2318yes—
486#4034C2318yes—
487#4033C2318yes—
488#4032C2318yes—
489#4032C2318yes—
490#4032C2318yes—
491#4031C2318yes—
492#4031C2318yes—
493#4031C2318yes—
494#4030C2318yes—
495#4030C2318yes—
496#4030C2318yes—
497#4030C2318yes—
498#4030C2318yes—
499#4030C2318yes—
500#4030C2318yes—
501#4030C2318yes—
502#4030C2318yes—
503#4030C2318yes—
504#4029C2318yes—
505#4029C2318yes—
506#4029C2318yes—
507#4029C2318yes—
508#4029C2318yes—
509#4029C2318yes—
510#4029C2318yes—
511#4029C2318yes—
512#4027C2318yes—
513#4027C2318yes—
514#4027C2318yes—
515#4027C2318yes—
516#4027C2318yes—
517#4027C2318yes—
518#4025C2318yes—
519#4025C2318yes—
520#4025C2318yes—
521#4024C2318yes—
522#4024C2318yes—
523#4024C2318yes—
524#4024C2318yes—
525#4024C2318yes—
526#4023C2318yes—
527#4023C2318yes—
528#4022C2318yes—
529#4022C2318yes—
530C4×D20C2318yes—
531C4×D20C2318yes—
532#4018C2318yes—
533C42×D5C2318yes—
534#4016C2318yes—
535#4015C2318yes—
536#3559—532no—
537C2×#563—51no—
538C2×#563—51no—
539C2×#562—51no—
540C2×#562—51no—
541C2×#554—51no—
542C2×#554—51no—
543C2×#553—51no—
544C2×#553—51no—
545C2×#553—51no—
546C2×#553—51no—
547C2×#547—51no—
548C2×#547—51no—
549C2×#547—51no—
550C2×#547—51no—
551C2×#547—51no—
552C2×#547—51no—
553C2×#544—51no—
554C2×#544—51no—
555C2×#540—51no—
556C2×#540—51no—
557C2×#539—51no—
558C2×#539—51no—
559C2×#539—51no—
560C2×#539—51no—
561C2×#539—51no—
562C2×#539D511yescharacteristic, complemented
563C2×#537—51no—
564C2×#537—51no—
565C2×#532—51no—
566C2×#529—51no—
567C22×#125—51no—
568C24×C5C2411yescharacteristic
569C24×C5C2411yescharacteristic
570C24×C5C2411yescharacteristic
571C23×D5C2411yescharacteristic
572C23×D5C2411yescharacteristic
573C23×D5C2411yescharacteristic
574C23×D5C2411yescharacteristic
575C2×C5×Q8—42no—
576C2×C5×Q8C2414yes—
577C2×C5×D4—42no—
578C2×C5×D4—42no—
579C2×C5×D4—42no—
580C2×C5×D4C2414yes—
581C2×C5×D4C2414yes—
582C2×C5×D4C2414yes—
583C22×C4×C5—42no—
584C22×C4×C5—42no—
585C22×C4×C5—42no—
586C22×C4×C5—42no—
587C22×C4×C5—42no—
588C22×C4×C5C2411yescharacteristic
589C22×C4×C5C2411yescharacteristic
590C22×C4×C5C2411yescharacteristic
591C22×C4×C5C2411yescharacteristic
592C22×C4×C5C2411yescharacteristic
593C22×C4×C5C2411yescharacteristic
594C22×C4×C5C2411yescharacteristic
595C22×C4×C5C2411yescharacteristic
596C22×C4×C5C2411yescharacteristic
597C22×C4×C5C2411yescharacteristic
598C22×C4×C5C2411yescharacteristic
599C22×C4×C5C2411yescharacteristic
600C22×C4×C5C2414yes—
601C22×C4×C5C2414yes—
602C22×C4×C5C2414yes—
603C22×C4×C5C2414yes—
604C22×C4×C5C2414yes—
605C2×C22⋊D5—24no—
606C2×C22⋊D5—24no—
607C2×C22⋊D5—24no—
608C2×C22⋊D5—24no—
609C2×C22⋊D5—24no—
610C2×C22⋊D5—42no—
611C2×C22⋊D5—42no—
612C2×C22⋊D5—42no—
613C2×C22⋊D5—42no—
614C2×C22⋊D5—42no—
615C2×C22⋊D5—42no—
616C2×C22⋊D5—42no—
617C2×C22⋊D5C2414yes—
618C2×C22⋊D5C2414yes—
619C2×C22⋊D5C2414yes—
620C2×C22⋊D5C2414yes—
621C2×C22⋊D5C2414yes—
622C2×C22⋊D5C2414yes—
623C2×C22⋊D5C2414yes—
624C2×C22⋊D5C2414yes—
625C2×C22⋊D5C2414yes—
626C2×C22⋊D5C2414yes—
627C2×C22⋊D5C2414yes—
628C2×C22⋊D5C2414yes—
629C22×Dic5—24no—
630C22×Dic5—42no—
631C22×Dic5—42no—
632C22×Dic5—42no—
633C22×Dic5C2411yescharacteristic
634C22×Dic5C2411yescharacteristic
635C22×Dic5C2411yescharacteristic
636C22×Dic5C2411yescharacteristic
637C22×Dic5C2411yescharacteristic
638C22×Dic5C2411yescharacteristic
639C22×Dic5C2411yescharacteristic
640C22×Dic5C2411yescharacteristic
641C22×Dic5C2411yescharacteristic
642C22×Dic5C2411yescharacteristic
643C22×Dic5C2411yescharacteristic
644C22×Dic5C2414yes—
645C22×Dic5C2414yes—
646C22×Dic5C2414yes—
647C22×Dic5C2414yes—
648C22×Dic5C2411yescharacteristic
649#713—416no—
650#711—416no—
651#709—416no—
652#709—416no—
653#709—416no—
654#709—416no—
655C2×D20—24no—
656C2×D20—24no—
657C2×D20—24no—
658C2×D20—42no—
659C2×D20—42no—
660C2×D20—42no—
661C2×D20C2414yes—
662C2×D20C2414yes—
663C2×D20C2414yes—
664C2×D20C2414yes—
665C2×D20C2414yes—
666C2×D20C2414yes—
667C2×C4×D5—24no—
668C2×C4×D5—24no—
669C2×C4×D5—24no—
670C2×C4×D5—24no—
671C2×C4×D5—24no—
672C2×C4×D5—42no—
673C2×C4×D5—42no—
674C2×C4×D5—42no—
675C2×C4×D5—42no—
676C2×C4×D5—42no—
677C2×C4×D5—42no—
678C2×C4×D5—42no—
679C2×C4×D5—42no—
680C2×C4×D5—42no—
681C2×C4×D5—42no—
682C2×C4×D5—42no—
683C2×C4×D5C2414yes—
684C2×C4×D5C2414yes—
685C2×C4×D5C2414yes—
686C2×C4×D5C2414yes—
687C2×C4×D5C2414yes—
688C2×C4×D5C2414yes—
689C2×C4×D5C2414yes—
690C2×C4×D5C2414yes—
691C2×C4×D5C2414yes—
692C2×C4×D5C2414yes—
693C2×C4×D5C2414yes—
694C2×C4×D5C2414yes—
695C2×C4×D5C2414yes—
696C2×C4×D5C2414yes—
697C2×C4×D5C2414yes—
698C2×C4×D5C2414yes—
699C2×Dic10—42no—
700C2×Dic10—42no—
701C2×Dic10—42no—
702C2×Dic10—42no—
703C2×Dic10—42no—
704C2×Dic10—42no—
705C2×Dic10C2414yes—
706C2×Dic10C2414yes—
707C2×Dic10C2414yes—
708C2×Dic10C2414yes—
709C2×Dic10C2414yes—
710C2×Dic10C2414yes—
711C5×C4⋊C4C2414yes—
712C5×C4⋊C4C2414yes—
713C5×C4⋊C4C2414yes—
714C5×C4⋊C4C2414yes—
715C5×C4⋊C4C2414yes—
716C5×C4⋊C4C2414yes—
717C5×C4⋊C4C2414yes—
718C5×C4⋊C4C2414yes—
719C5×C4⋊C4C2414yes—
720C5×C4⋊C4C2414yes—
721C5×C4⋊C4C2414yes—
722C5×C4⋊C4C2414yes—
723C5×C4⋊C4C2414yes—
724C5×C4⋊C4C2414yes—
725C5×C22⋊C4C2414yes—
726C5×C22⋊C4C2414yes—
727C5×C22⋊C4C2414yes—
728C5×C22⋊C4C2414yes—
729C5×C22⋊C4C2414yes—
730C5×C22⋊C4C2414yes—
731C5×C22⋊C4C2414yes—
732C5×C22⋊C4C2414yes—
733C5×C22⋊C4C2414yes—
734C5×C22⋊C4C2414yes—
735C42×C5C2414yes—
736C42×C5C2414yes—
737C22⋊Dic5C2414yes—
738C22⋊Dic5C2414yes—
739C22⋊Dic5C2414yes—
740C22⋊Dic5C2414yes—
741C22⋊Dic5C2414yes—
742C22⋊Dic5C2414yes—
743C22⋊Dic5C2414yes—
744C22⋊Dic5C2414yes—
745#685C2414yes—
746#685C2414yes—
747#685C2414yes—
748#685C2414yes—
749#685C2414yes—
750#685C2414yes—
751#685C2414yes—
752#685C2414yes—
753#685C2414yes—
754#685C2414yes—
755#685C2414yes—
756#685C2414yes—
757#685C2414yes—
758#685C2414yes—
759#685C2414yes—
760#685C2414yes—
761#685C2414yes—
762#685C2414yes—
763#685C2414yes—
764#685C2414yes—
765C4⋊Dic5C2414yes—
766C4⋊Dic5C2414yes—
767C4⋊Dic5C2414yes—
768C4⋊Dic5C2414yes—
769C4⋊Dic5C2414yes—
770C4⋊Dic5C2414yes—
771C4⋊Dic5C2414yes—
772C4⋊Dic5C2414yes—
773C4⋊Dic5C2414yes—
774C4⋊Dic5C2414yes—
775C4⋊Dic5C2414yes—
776C4⋊Dic5C2414yes—
777#683C2414yes—
778#683C2414yes—
779#683C2414yes—
780#683C2414yes—
781#683C2414yes—
782#683C2414yes—
783#683C2414yes—
784#683C2414yes—
785#683C2414yes—
786#683C2414yes—
787#683C2414yes—
788#683C2414yes—
789#683C2414yes—
790#683C2414yes—
791#683C2414yes—
792#683C2414yes—
793#683C2414yes—
794#683C2414yes—
795#683C2414yes—
796#683C2414yes—
797#683C2414yes—
798#683C2414yes—
799#683C2414yes—
800#683C2414yes—
801#683C2414yes—
802#683C2414yes—
803#683C2414yes—
804#683C2414yes—
805C4×Dic5C2414yes—
806C4×Dic5C2414yes—
807C4×Dic5C2414yes—
808C4×Dic5C2414yes—
809C4×Dic5C2414yes—
810C4×Dic5C2414yes—
811C4×Dic5C2414yes—
812C4×Dic5C2414yes—
813C22×#41—51no—
814C22×#41—51no—
815C22×#41—51no—
816C22×#41—51no—
817C22×#41—51no—
818C22×#41—51no—
819#563—516no—
820#563—516no—
821#562—516no—
822#562—516no—
823#554—516no—
824#554—516no—
825#553—516no—
826#553—516no—
827#553—516no—
828#553—516no—
829#547—516no—
830#547—516no—
831#547—516no—
832#547—516no—
833#547—516no—
834#547—516no—
835#544—516no—
836#544—516no—
837#540—516no—
838#540—516no—
839#539—516no—
840#539—516no—
841#539—516no—
842#539—516no—
843#539—516no—
844#539C2×D5116yescomplemented
845#537—516no—
846#537—516no—
847#532—516no—
848C2×C4⋊Q8—51no—
849C2×C4⋊Q8—51no—
850C2×C4⋊Q8—51no—
851C2×C4⋊Q8—51no—
852C2×C4⋊Q8—51no—
853C2×C4⋊Q8—51no—
854C2×C4⋊Q8—51no—
855C2×#127—51no—
856#529—516no—
857C2×#126—51no—
858C2×#126—51no—
859C2×#126—51no—
860C2×#126—51no—
861C2×#126—51no—
862C2×#126—51no—
863C2×#126—51no—
864C2×#126—51no—
865C2×#126C2×D511yescharacteristic
866C2×#126C2×D511yescharacteristic
867C2×#125—516no—
868C2×#125—51no—
869C2×#125—51no—
870C2×#125—51no—
871C2×#125—51no—
872C2×#125—51no—
873C2×#125—51no—
874C2×#125—51no—
875C2×#125—51no—
876C2×#125—51no—
877C2×#125—51no—
878C2×#125—51no—
879C2×#125—51no—
880C2×#125—51no—
881C2×#125C2×D511yescharacteristic
882C2×#125C2×D511yescharacteristic
883C2×#124—51no—
884C2×#124—51no—
885C2×#124—51no—
886C2×#123—51no—
887C2×#123—51no—
888C2×#123—51no—
889C2×#123—51no—
890C2×#123—51no—
891C2×#123—51no—
892C2×#123—51no—
893C2×#123—51no—
894C2×#123—51no—
895C2×#123—51no—
896C2×#123—51no—
897C2×#123—51no—
898C2×#123—51no—
899C2×#123—51no—
900C2×#123—51no—
901C2×#123—51no—
902C2×#123—51no—
903C2×#123—51no—
904C2×#123—51no—
905C2×#123—51no—
906C2×#123—51no—
907C2×#123—51no—
908C2×#123C2×D511yescharacteristic
909C2×#123C2×D511yescharacteristic
910C2×#123C2×D511yescharacteristic
911C2×#123C2×D511yescharacteristic
912C2×C22⋊Q8—51no—
913C2×C22⋊Q8—51no—
914C2×C22⋊Q8—51no—
915C2×C22⋊Q8—51no—
916C2×C22⋊Q8—51no—
917C2×C22⋊Q8—51no—
918C2×C22⋊Q8—51no—
919C2×C22⋊Q8—51no—
920C2×C22⋊Q8—51no—
921C2×C22⋊Q8—51no—
922C2×C22⋊Q8—51no—
923C2×C22⋊Q8—51no—
924C2×C22⋊Q8—51no—
925C2×C22⋊Q8—51no—
926C2×C22⋊Q8—51no—
927C2×C22⋊Q8—51no—
928C2×C22⋊Q8—51no—
929C2×C22⋊Q8—51no—
930C2×C22⋊Q8—51no—
931C2×C22⋊Q8—51no—
932C2×C22⋊Q8—51no—
933C2×C22⋊Q8—51no—
934C2×C22⋊Q8C2×D511yescharacteristic
935C2×C22⋊Q8C2×D511yescharacteristic
936C2×C22⋊Q8C2×D511yescharacteristic
937C2×#121—51no—
938C2×#121—51no—
939C2×#121—51no—
940C2×#121—51no—
941C2×#121—51no—
942C2×#121—51no—
943C2×#121—51no—
944C2×#121—51no—
945C2×#121—51no—
946C2×#121—51no—
947C2×#121—51no—
948C2×#121—51no—
949C2×#121—51no—
950C2×#121—51no—
951C2×#121—51no—
952C2×#121—51no—
953C2×#121—51no—
954C2×#121—51no—
955C2×#121—51no—
956C2×#121—51no—
957C2×#121—51no—
958C2×#121—51no—
959C2×#121—51no—
960C2×#121—51no—
961C2×#121C2×D511yescharacteristic
962C2×C4×Q8—51no—
963C2×C4×D4—51no—
964C2×C4×D4—51no—
965C2×C4×D4—51no—
966C2×C4×D4—51no—
967C2×C4×D4—51no—
968C2×C4×D4—51no—
969C2×C4×D4—51no—
970C2×C4×D4—51no—
971C2×C4×D4—51no—
972C2×C4×D4—51no—
973C2×C4×D4—51no—
974C2×C4×D4—51no—
975C2×C4×D4—51no—
976C2×C4×D4—51no—
977C2×C4×D4—51no—
978C2×C4×D4—51no—
979C2×C4×D4—51no—
980C2×C4×D4C2×D511yescharacteristic
981C2×C4×D4C2×D511yescharacteristic
982C2×#117—51no—
983C2×#117—51no—
984C2×#117—51no—
985C2×#117—51no—
986C22×C4⋊C4—51no—
987C22×C4⋊C4—51no—
988C22×C4⋊C4—51no—
989C22×C4⋊C4—51no—
990C22×C4⋊C4—51no—
991C22×C4⋊C4—51no—
992C22×C4⋊C4—51no—
993C22×C4⋊C4—51no—
994C22×C4⋊C4—51no—
995C22×C4⋊C4—51no—
996C22×C4⋊C4—51no—
997C22×C4⋊C4C2×D511yescharacteristic
998C22×C42—51no—
999C23×C5—22no—
1000C23×C5—22no—
1001C23×C5—22no—
1002C23×C5—22no—
1003C23×C5—22no—
1004C23×C5—22no—
1005C23×C5—22no—
1006C23×C5—22no—
1007C23×C5—22no—
1008C23×C5C2512yes—
1009C23×C5C2512yes—
1010C23×C5C2512yes—
1011C23×C5C2511yescharacteristic
1012C22×D5—22no—
1013C22×D5—22no—
1014C22×D5—22no—
1015C22×D5—22no—
1016C22×D5—22no—
1017C22×D5—22no—
1018C22×D5—22no—
1019C22×D5—22no—
1020C22×D5—22no—
1021C22×D5—22no—
1022C22×D5—22no—
1023C22×D5H(5,𝔽2)14yes—
1024C22×D5C2512yes—
1025C22×D5C2512yes—
1026C22×D5C2512yes—
1027C22×D5C2512yes—
1028C5×Q8—44no—
1029C5×D4—44no—
1030C5×D4—44no—
1031C5×D4—44no—
1032C2×C4×C5—22no—
1033C2×C4×C5—22no—
1034C2×C4×C5—22no—
1035C2×C4×C5—22no—
1036C2×C4×C5—22no—
1037C2×C4×C5—22no—
1038C2×C4×C5—22no—
1039C2×C4×C5—22no—
1040C2×C4×C5—22no—
1041C2×C4×C5—22no—
1042C2×C4×C5—22no—
1043C2×C4×C5—22no—
1044C2×C4×C5—44no—
1045C2×C4×C5—44no—
1046C2×C4×C5—44no—
1047C2×C4×C5—44no—
1048C2×C4×C5—44no—
1049C2×C4×C5C2512yes—
1050C2×C4×C5C2512yes—
1051C2×C4×C5C2512yes—
1052C2×C4×C5C2512yes—
1053C2×C4×C5C2512yes—
1054C2×C4×C5C2512yes—
1055C2×C4×C5C2512yes—
1056C2×C4×C5C2512yes—
1057C2×C4×C5C2512yes—
1058C2×C4×C5C2512yes—
1059C2×C4×C5C2512yes—
1060C2×C4×C5C2512yes—
1061C22⋊D5—28no—
1062C22⋊D5—28no—
1063C22⋊D5—28no—
1064C22⋊D5—28no—
1065C22⋊D5—28no—
1066C22⋊D5—44no—
1067C22⋊D5—44no—
1068C22⋊D5—44no—
1069C22⋊D5—44no—
1070C22⋊D5—44no—
1071C22⋊D5—44no—
1072C22⋊D5—44no—
1073C2×Dic5—22no—
1074C2×Dic5—22no—
1075C2×Dic5—22no—
1076C2×Dic5—22no—
1077C2×Dic5—22no—
1078C2×Dic5—22no—
1079C2×Dic5—22no—
1080C2×Dic5—22no—
1081C2×Dic5—22no—
1082C2×Dic5—22no—
1083C2×Dic5—22no—
1084C2×Dic5—28no—
1085C2×Dic5—44no—
1086C2×Dic5—44no—
1087C2×Dic5—44no—
1088C2×Dic52−1+414yes—
1089C2×Dic5C2512yes—
1090C2×Dic5C2512yes—
1091C2×Dic5C2512yes—
1092C2×Dic5C2512yes—
1093C2×Dic5C2512yes—
1094C2×Dic5C2512yes—
1095C2×Dic5C2512yes—
1096C2×Dic5C2512yes—
1097C2×Dic5C2512yes—
1098C2×Dic5C2512yes—
1099C2×Dic5C2512yes—
1100C2×Dic5C2512yes—
1101D20—28no—
1102D20—28no—
1103D20—28no—
1104D20—44no—
1105D20—44no—
1106D20—44no—
1107C4×D5—28no—
1108C4×D5—28no—
1109C4×D5—28no—
1110C4×D5—28no—
1111C4×D5—28no—
1112C4×D5—44no—
1113C4×D5—44no—
1114C4×D5—44no—
1115C4×D5—44no—
1116C4×D5—44no—
1117C4×D5—44no—
1118C4×D5—44no—
1119C4×D5—44no—
1120C4×D5—44no—
1121C4×D5—44no—
1122C4×D5—44no—
1123Dic10—44no—
1124Dic10—44no—
1125Dic10—44no—
1126Dic10—44no—
1127Dic10—44no—
1128Dic10—44no—
1129C2×#41—58no—
1130C2×#41—58no—
1131C2×#41—58no—
1132C2×#41—58no—
1133C2×#41—58no—
1134C2×#41—58no—
1135C2×#41—204no—
1136C2×#41—204no—
1137C2×#41—204no—
1138C2×#41—204no—
1139C2×#41—204no—
1140C2×#41—204no—
1141C22×Q8—51no—
1142C22×Q8—51no—
1143C22×Q8—51no—
1144C22×Q8—51no—
1145C22×Q8—51no—
1146C22×Q8—51no—
1147C22×Q8C22×D511yescharacteristic
1148C22×D4—51no—
1149C22×D4—51no—
1150C22×D4—51no—
1151C22×D4—51no—
1152C22×D4—51no—
1153C22×D4—51no—
1154C22×D4—51no—
1155C22×D4—51no—
1156C22×D4—51no—
1157C22×D4—51no—
1158C22×D4—51no—
1159C22×D4—51no—
1160C22×D4—51no—
1161C22×D4—51no—
1162C22×D4—51no—
1163C22×D4—51no—
1164C22×D4—51no—
1165C22×D4—51no—
1166C22×D4C22×D511yescharacteristic
1167C22×D4C22×D511yescharacteristic
1168C22×D4C22×D511yescharacteristic
1169C23×C4—51no—
1170C23×C4—51no—
1171C23×C4—51no—
1172C23×C4—51no—
1173C23×C4—51no—
1174C23×C4—51no—
1175C23×C4—51no—
1176C23×C4—51no—
1177C23×C4—51no—
1178C23×C4—51no—
1179C23×C4—51no—
1180C23×C4—51no—
1181C23×C4—51no—
1182C23×C4—51no—
1183C23×C4—51no—
1184C23×C4—51no—
1185C23×C4—51no—
1186C23×C4—51no—
1187C23×C4—51no—
1188C23×C4—51no—
1189C23×C4C22×D511yescharacteristic
1190C23×C4C22×D511yescharacteristic
1191C23×C4C22×D511yescharacteristic
1192C23×C4C22×D511yescharacteristic
1193C23×C4C22×D511yescharacteristic
1194C4⋊Q8—58no—
1195C4⋊Q8—58no—
1196C4⋊Q8—58no—
1197C4⋊Q8—58no—
1198C4⋊Q8—58no—
1199C4⋊Q8—58no—
1200C4⋊Q8—58no—
1201#127—58no—
1202#126—58no—
1203#126—58no—
1204#126—58no—
1205#126—58no—
1206#126—58no—
1207#126—58no—
1208#126—58no—
1209#126—58no—
1210#126C22×D518yes—
1211#126C22×D518yes—
1212#125—58no—
1213#125—58no—
1214#125—58no—
1215#125—58no—
1216#125—58no—
1217#125—58no—
1218#125—58no—
1219#125—58no—
1220#125—58no—
1221#125—58no—
1222#125—58no—
1223#125—58no—
1224#125—58no—
1225#125C22×D518yes—
1226#125C22×D518yes—
1227#124—58no—
1228#124—58no—
1229#124—58no—
1230#123—58no—
1231#123—58no—
1232#123—58no—
1233#123—58no—
1234#123—58no—
1235#123—58no—
1236#123—58no—
1237#123—58no—
1238#123—58no—
1239#123—58no—
1240#123—58no—
1241#123—58no—
1242#123—58no—
1243#123—58no—
1244#123—58no—
1245#123—58no—
1246#123—58no—
1247#123—58no—
1248#123—58no—
1249#123—58no—
1250#123—58no—
1251#123—58no—
1252#123C22×D518yes—
1253#123C22×D518yes—
1254#123C22×D518yes—
1255#123C22×D518yes—
1256C22⋊Q8—58no—
1257C22⋊Q8—58no—
1258C22⋊Q8—58no—
1259C22⋊Q8—58no—
1260C22⋊Q8—58no—
1261C22⋊Q8—58no—
1262C22⋊Q8—58no—
1263C22⋊Q8—58no—
1264C22⋊Q8—58no—
1265C22⋊Q8—58no—
1266C22⋊Q8—58no—
1267C22⋊Q8—58no—
1268C22⋊Q8—58no—
1269C22⋊Q8—58no—
1270C22⋊Q8—58no—
1271C22⋊Q8—58no—
1272C22⋊Q8—58no—
1273C22⋊Q8—58no—
1274C22⋊Q8—58no—
1275C22⋊Q8—58no—
1276C22⋊Q8—58no—
1277C22⋊Q8—58no—
1278C22⋊Q8C22×D518yes—
1279C22⋊Q8C22×D518yes—
1280C22⋊Q8C22×D518yes—
1281#121—58no—
1282#121—58no—
1283#121—58no—
1284#121—58no—
1285#121—58no—
1286#121—58no—
1287#121—58no—
1288#121—58no—
1289#121—58no—
1290#121—58no—
1291#121—58no—
1292#121—58no—
1293#121—58no—
1294#121—58no—
1295#121—58no—
1296#121—58no—
1297#121—58no—
1298#121—58no—
1299#121—58no—
1300#121—58no—
1301#121—58no—
1302#121—58no—
1303#121—58no—
1304#121—58no—
1305#121C22×D518yes—
1306C4×Q8—58no—
1307C4×D4—58no—
1308C4×D4—58no—
1309C4×D4—58no—
1310C4×D4—58no—
1311C4×D4—58no—
1312C4×D4—58no—
1313C4×D4—58no—
1314C4×D4—58no—
1315C4×D4—58no—
1316C4×D4—58no—
1317C4×D4—58no—
1318C4×D4—58no—
1319C4×D4—58no—
1320C4×D4—58no—
1321C4×D4—58no—
1322C4×D4—58no—
1323C4×D4—58no—
1324C4×D4C22×D518yes—
1325C4×D4C22×D518yes—
1326#117—58no—
1327#117—58no—
1328#117—58no—
1329#117—58no—
1330C2×C4⋊C4—51no—
1331C2×C4⋊C4—51no—
1332C2×C4⋊C4—51no—
1333C2×C4⋊C4—51no—
1334C2×C4⋊C4—51no—
1335C2×C4⋊C4—51no—
1336C2×C4⋊C4—51no—
1337C2×C4⋊C4—51no—
1338C2×C4⋊C4—51no—
1339C2×C4⋊C4—51no—
1340C2×C4⋊C4—51no—
1341C2×C4⋊C4—51no—
1342C2×C4⋊C4—51no—
1343C2×C4⋊C4—51no—
1344C2×C4⋊C4—51no—
1345C2×C4⋊C4—51no—
1346C2×C4⋊C4—51no—
1347C2×C4⋊C4—51no—
1348C2×C4⋊C4—51no—
1349C2×C4⋊C4—51no—
1350C2×C4⋊C4—51no—
1351C2×C4⋊C4—51no—
1352C2×C4⋊C4—51no—
1353C2×C4⋊C4—51no—
1354C2×C4⋊C4—51no—
1355C2×C4⋊C4—51no—
1356C2×C4⋊C4—51no—
1357C2×C4⋊C4—51no—
1358C2×C4⋊C4—51no—
1359C2×C4⋊C4—51no—
1360C2×C4⋊C4—58no—
1361C2×C4⋊C4—58no—
1362C2×C4⋊C4—51no—
1363C2×C4⋊C4—51no—
1364C2×C4⋊C4—51no—
1365C2×C4⋊C4—51no—
1366C2×C4⋊C4—51no—
1367C2×C4⋊C4—51no—
1368C2×C4⋊C4—51no—
1369C2×C4⋊C4—51no—
1370C2×C4⋊C4—51no—
1371C2×C4⋊C4—51no—
1372C2×C4⋊C4—58no—
1373C2×C4⋊C4—58no—
1374C2×C4⋊C4—58no—
1375C2×C4⋊C4—58no—
1376C2×C4⋊C4—58no—
1377C2×C4⋊C4—58no—
1378C2×C4⋊C4—58no—
1379C2×C4⋊C4—58no—
1380C2×C4⋊C4—58no—
1381C2×C4⋊C4C22×D511yescharacteristic
1382C2×C4⋊C4C22×D511yescharacteristic
1383C2×C4⋊C4C22×D511yescharacteristic
1384C2×C4⋊C4C22×D511yescharacteristic
1385C2×C4⋊C4C22×D511yescharacteristic
1386C2×C4⋊C4C22×D511yescharacteristic
1387C2×C4⋊C4C22×D511yescharacteristic
1388C2×C4⋊C4C22×D511yescharacteristic
1389C2×C4⋊C4C22×D511yescharacteristic
1390C2×C4⋊C4C22×D511yescharacteristic
1391C2×C4⋊C4C22×D518yes—
1392C2×C4⋊C4C22×D511yescharacteristic
1393C2×C4⋊C4C22×D511yescharacteristic
1394C2×C4⋊C4C22×D511yescharacteristic
1395C2×C4⋊C4C22×D511yescharacteristic
1396C2×C22⋊C4—51no—
1397C2×C22⋊C4—51no—
1398C2×C22⋊C4—51no—
1399C2×C22⋊C4—51no—
1400C2×C22⋊C4—51no—
1401C2×C22⋊C4—51no—
1402C2×C22⋊C4—51no—
1403C2×C22⋊C4—51no—
1404C2×C22⋊C4—51no—
1405C2×C22⋊C4—51no—
1406C2×C22⋊C4—51no—
1407C2×C22⋊C4—51no—
1408C2×C22⋊C4—51no—
1409C2×C22⋊C4—51no—
1410C2×C22⋊C4—51no—
1411C2×C22⋊C4—51no—
1412C2×C22⋊C4—51no—
1413C2×C22⋊C4—51no—
1414C2×C22⋊C4—51no—
1415C2×C22⋊C4—51no—
1416C2×C22⋊C4—51no—
1417C2×C22⋊C4—51no—
1418C2×C22⋊C4—51no—
1419C2×C22⋊C4—51no—
1420C2×C22⋊C4—51no—
1421C2×C22⋊C4—51no—
1422C2×C22⋊C4—51no—
1423C2×C22⋊C4—51no—
1424C2×C22⋊C4C22×D511yescharacteristic
1425C2×C22⋊C4C22×D511yescharacteristic
1426C2×C22⋊C4C22×D511yescharacteristic
1427C2×C22⋊C4C22×D511yescharacteristic
1428C2×C22⋊C4C22×D511yescharacteristic
1429C2×C22⋊C4C22×D511yescharacteristic
1430C2×C22⋊C4C22×D511yescharacteristic
1431C2×C22⋊C4C22×D511yescharacteristic
1432C2×C22⋊C4C22×D511yescharacteristic
1433C2×C22⋊C4C22×D511yescharacteristic
1434C2×C42—51no—
1435C2×C42—51no—
1436C2×C42—51no—
1437C2×C42—51no—
1438C2×C42—51no—
1439C2×C42—51no—
1440C2×C42—51no—
1441C2×C42—51no—
1442C2×C42—58no—
1443C2×C42C22×D511yescharacteristic
1444C2×C42C22×D511yescharacteristic
1445C22×C5—22no—
1446C22×C5—22no—
1447C22×C5—22no—
1448C22×C5—22no—
1449C22×C5—22no—
1450C22×C5—22no—
1451C22×C5—22no—
1452C22×C5—22no—
1453C22×C5—22no—
1454C22×C5—44no—
1455C22×C5—44no—
1456C22×C5—44no—
1457C22×C5C2×H(5,𝔽2)12yes—
1458C22×C5C2×2−1+412yes—
1459C22×C5#58512yes—
1460C22×C5C2611yescharacteristic
1461C2×D5—22no—
1462C2×D5—22no—
1463C2×D5—28no—
1464C2×D5—22no—
1465C2×D5—22no—
1466C2×D5—22no—
1467C2×D5—22no—
1468C2×D5—22no—
1469C2×D5—22no—
1470C2×D5—22no—
1471C2×D5—22no—
1472C2×D5—22no—
1473C2×D5—44no—
1474C2×D5—44no—
1475C2×D5—44no—
1476C2×D5C2×H(5,𝔽2)14yes—
1477C4×C5—22no—
1478C4×C5—22no—
1479C4×C5—22no—
1480C4×C5—22no—
1481C4×C5—22no—
1482C4×C5—22no—
1483C4×C5—22no—
1484C4×C5—22no—
1485C4×C5—22no—
1486C4×C5—22no—
1487C4×C5—22no—
1488C4×C5—22no—
1489Dic5—22no—
1490Dic5—22no—
1491Dic5—22no—
1492Dic5—22no—
1493Dic5—22no—
1494Dic5—22no—
1495Dic5—22no—
1496Dic5—22no—
1497Dic5—22no—
1498Dic5—22no—
1499Dic5—22no—
1500Dic5C2×2−1+414yes—
1501C24—51no—
1502C24—51no—
1503C24—51no—
1504C24—51no—
1505C24C23×D511yescharacteristic
1506C24C23×D511yescharacteristic
1507C24C23×D511yescharacteristic
1508#41—2016no—
1509#41—2016no—
1510#41—2016no—
1511#41—2016no—
1512#41—2016no—
1513#41—2016no—
1514C2×Q8—42no—
1515C2×Q8—54no—
1516C2×Q8—54no—
1517C2×Q8—54no—
1518C2×Q8—54no—
1519C2×Q8—54no—
1520C2×Q8—54no—
1521C2×Q8—202no—
1522C2×Q8—202no—
1523C2×Q8—202no—
1524C2×Q8—202no—
1525C2×Q8—202no—
1526C2×Q8—202no—
1527C2×Q8C23×D514yes—
1528C2×D4—42no—
1529C2×D4—42no—
1530C2×D4—42no—
1531C2×D4—54no—
1532C2×D4—54no—
1533C2×D4—54no—
1534C2×D4—54no—
1535C2×D4—54no—
1536C2×D4—54no—
1537C2×D4—54no—
1538C2×D4—54no—
1539C2×D4—54no—
1540C2×D4—54no—
1541C2×D4—54no—
1542C2×D4—54no—
1543C2×D4—54no—
1544C2×D4—54no—
1545C2×D4—54no—
1546C2×D4—54no—
1547C2×D4—54no—
1548C2×D4—54no—
1549C2×D4—104no—
1550C2×D4—104no—
1551C2×D4—104no—
1552C2×D4—104no—
1553C2×D4—104no—
1554C2×D4—104no—
1555C2×D4—104no—
1556C2×D4—104no—
1557C2×D4—202no—
1558C2×D4—202no—
1559C2×D4—202no—
1560C2×D4—202no—
1561C2×D4—202no—
1562C2×D4—202no—
1563C2×D4—202no—
1564C2×D4—202no—
1565C2×D4—202no—
1566C2×D4—202no—
1567C2×D4C23×D514yes—
1568C2×D4C23×D514yes—
1569C2×D4C23×D514yes—
1570C22×C4—42no—
1571C22×C4—42no—
1572C22×C4—42no—
1573C22×C4—42no—
1574C22×C4—42no—
1575C22×C4—51no—
1576C22×C4—54no—
1577C22×C4—51no—
1578C22×C4—51no—
1579C22×C4—51no—
1580C22×C4—51no—
1581C22×C4—51no—
1582C22×C4—51no—
1583C22×C4—51no—
1584C22×C4—51no—
1585C22×C4—51no—
1586C22×C4—51no—
1587C22×C4—51no—
1588C22×C4—54no—
1589C22×C4—54no—
1590C22×C4—54no—
1591C22×C4—54no—
1592C22×C4—54no—
1593C22×C4—54no—
1594C22×C4—54no—
1595C22×C4—54no—
1596C22×C4—54no—
1597C22×C4—54no—
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—104no—
1608C22×C4—104no—
1609C22×C4—104no—
1610C22×C4—104no—
1611C22×C4—104no—
1612C22×C4—104no—
1613C22×C4—202no—
1614C22×C4—202no—
1615C22×C4—202no—
1616C22×C4—202no—
1617C22×C4—202no—
1618C22×C4—202no—
1619C22×C4—202no—
1620C22×C4—202no—
1621C22×C4—202no—
1622C22×C4—202no—
1623C22×C4—202no—
1624C22×C4—202no—
1625C22×C4—202no—
1626C22×C4—202no—
1627C22×C4C23×D511yescharacteristic
1628C22×C4C23×D511yescharacteristic
1629C22×C4C23×D511yescharacteristic
1630C22×C4C23×D511yescharacteristic
1631C22×C4C23×D511yescharacteristic
1632C22×C4C23×D511yescharacteristic
1633C22×C4C23×D511yescharacteristic
1634C22×C4C23×D511yescharacteristic
1635C22×C4C23×D511yescharacteristic
1636C22×C4C23×D511yescharacteristic
1637C22×C4C23×D511yescharacteristic
1638C22×C4C23×D511yescharacteristic
1639C22×C4C23×D514yes—
1640C22×C4C23×D514yes—
1641C22×C4C23×D514yes—
1642C22×C4C23×D514yes—
1643C22×C4C23×D514yes—
1644C4⋊C4—54no—
1645C4⋊C4—54no—
1646C4⋊C4—54no—
1647C4⋊C4—54no—
1648C4⋊C4—54no—
1649C4⋊C4—54no—
1650C4⋊C4—54no—
1651C4⋊C4—54no—
1652C4⋊C4—54no—
1653C4⋊C4—54no—
1654C4⋊C4—54no—
1655C4⋊C4—54no—
1656C4⋊C4—54no—
1657C4⋊C4—54no—
1658C4⋊C4—54no—
1659C4⋊C4—54no—
1660C4⋊C4—54no—
1661C4⋊C4—54no—
1662C4⋊C4—54no—
1663C4⋊C4—54no—
1664C4⋊C4—54no—
1665C4⋊C4—54no—
1666C4⋊C4—54no—
1667C4⋊C4—54no—
1668C4⋊C4—54no—
1669C4⋊C4—54no—
1670C4⋊C4—54no—
1671C4⋊C4—54no—
1672C4⋊C4—54no—
1673C4⋊C4—54no—
1674C4⋊C4—54no—
1675C4⋊C4—54no—
1676C4⋊C4—54no—
1677C4⋊C4—54no—
1678C4⋊C4—54no—
1679C4⋊C4—54no—
1680C4⋊C4—54no—
1681C4⋊C4—54no—
1682C4⋊C4—54no—
1683C4⋊C4—54no—
1684C4⋊C4C23×D514yes—
1685C4⋊C4C23×D514yes—
1686C4⋊C4C23×D514yes—
1687C4⋊C4C23×D514yes—
1688C4⋊C4C23×D514yes—
1689C4⋊C4C23×D514yes—
1690C4⋊C4C23×D514yes—
1691C4⋊C4C23×D514yes—
1692C4⋊C4C23×D514yes—
1693C4⋊C4C23×D514yes—
1694C4⋊C4C23×D514yes—
1695C4⋊C4C23×D514yes—
1696C4⋊C4C23×D514yes—
1697C4⋊C4C23×D514yes—
1698C22⋊C4—54no—
1699C22⋊C4—54no—
1700C22⋊C4—54no—
1701C22⋊C4—54no—
1702C22⋊C4—54no—
1703C22⋊C4—54no—
1704C22⋊C4—54no—
1705C22⋊C4—54no—
1706C22⋊C4—54no—
1707C22⋊C4—54no—
1708C22⋊C4—54no—
1709C22⋊C4—54no—
1710C22⋊C4—54no—
1711C22⋊C4—54no—
1712C22⋊C4—54no—
1713C22⋊C4—54no—
1714C22⋊C4—54no—
1715C22⋊C4—54no—
1716C22⋊C4—54no—
1717C22⋊C4—54no—
1718C22⋊C4—54no—
1719C22⋊C4—54no—
1720C22⋊C4—54no—
1721C22⋊C4—54no—
1722C22⋊C4—54no—
1723C22⋊C4—54no—
1724C22⋊C4—54no—
1725C22⋊C4—54no—
1726C22⋊C4C23×D514yes—
1727C22⋊C4C23×D514yes—
1728C22⋊C4C23×D514yes—
1729C22⋊C4C23×D514yes—
1730C22⋊C4C23×D514yes—
1731C22⋊C4C23×D514yes—
1732C22⋊C4C23×D514yes—
1733C22⋊C4C23×D514yes—
1734C22⋊C4C23×D514yes—
1735C22⋊C4C23×D514yes—
1736C42—54no—
1737C42—54no—
1738C42—54no—
1739C42—54no—
1740C42—54no—
1741C42—54no—
1742C42—54no—
1743C42—54no—
1744C42C23×D514yes—
1745C42C23×D514yes—
1746C2×C5—42no—
1747C2×C5—42no—
1748C2×C5—42no—
1749C2×C5#355914yescomplemented
1750C2×C5C22×H(5,𝔽2)11yescharacteristic
1751C2×C5C22×2−1+411yescharacteristic
1752C2×C5C2×#58511yescharacteristic
1753D5—24no—
1754D5—42no—
1755D5—42no—
1756D5—42no—
1757C23—22no—
1758C23—22no—
1759C23—22no—
1760C23—22no—
1761C23—22no—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—54no—
1767C23—52no—
1768C23—52no—
1769C23—52no—
1770C23—52no—
1771C23—102no—
1772C23—102no—
1773C23—102no—
1774C23—102no—
1775C23—102no—
1776C23—102no—
1777C23—102no—
1778C23—102no—
1779C23—102no—
1780C23—102no—
1781C23—102no—
1782C23C24×D512yes—
1783C23C24×D512yes—
1784C23C24×D512yes—
1785C23C24×D511yescharacteristic
1786Q8—44no—
1787Q8—204no—
1788Q8—204no—
1789Q8—204no—
1790Q8—204no—
1791Q8—204no—
1792Q8—204no—
1793D4—44no—
1794D4—44no—
1795D4—44no—
1796D4—108no—
1797D4—108no—
1798D4—108no—
1799D4—108no—
1800D4—108no—
1801D4—108no—
1802D4—108no—
1803D4—108no—
1804D4—204no—
1805D4—204no—
1806D4—204no—
1807D4—204no—
1808D4—204no—
1809D4—204no—
1810D4—204no—
1811D4—204no—
1812D4—204no—
1813D4—204no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—44no—
1827C2×C4—44no—
1828C2×C4—44no—
1829C2×C4—44no—
1830C2×C4—44no—
1831C2×C4—54no—
1832C2×C4—52no—
1833C2×C4—52no—
1834C2×C4—52no—
1835C2×C4—52no—
1836C2×C4—52no—
1837C2×C4—52no—
1838C2×C4—52no—
1839C2×C4—52no—
1840C2×C4—52no—
1841C2×C4—52no—
1842C2×C4—52no—
1843C2×C4—52no—
1844C2×C4—108no—
1845C2×C4—108no—
1846C2×C4—108no—
1847C2×C4—108no—
1848C2×C4—108no—
1849C2×C4—108no—
1850C2×C4—102no—
1851C2×C4—102no—
1852C2×C4—102no—
1853C2×C4—102no—
1854C2×C4—102no—
1855C2×C4—102no—
1856C2×C4—102no—
1857C2×C4—102no—
1858C2×C4—102no—
1859C2×C4—102no—
1860C2×C4—102no—
1861C2×C4—204no—
1862C2×C4—204no—
1863C2×C4—204no—
1864C2×C4—204no—
1865C2×C4—204no—
1866C2×C4—204no—
1867C2×C4—204no—
1868C2×C4—204no—
1869C2×C4—204no—
1870C2×C4—204no—
1871C2×C4—204no—
1872C2×C4—204no—
1873C2×C4—204no—
1874C2×C4—204no—
1875C2×C4C24×D512yes—
1876C2×C4C24×D512yes—
1877C2×C4C24×D512yes—
1878C2×C4C24×D512yes—
1879C2×C4C24×D512yes—
1880C2×C4C24×D512yes—
1881C2×C4C24×D512yes—
1882C2×C4C24×D512yes—
1883C2×C4C24×D512yes—
1884C2×C4C24×D512yes—
1885C2×C4C24×D512yes—
1886C2×C4C24×D512yes—
1887C5C2×#355911yescharacteristic, complemented, Sylow
1888C22—22no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—44no—
1898C22—44no—
1899C22—44no—
1900C22—54no—
1901C22—102no—
1902C22—102no—
1903C22—108no—
1904C22—102no—
1905C22—102no—
1906C22—102no—
1907C22—102no—
1908C22—102no—
1909C22—102no—
1910C22—102no—
1911C22—102no—
1912C22—102no—
1913C22—204no—
1914C22—204no—
1915C22—204no—
1916C22#6628312yes—
1917C22D5×H(5,𝔽2)12yes—
1918C22D5×2−1+412yes—
1919C22C25×D511yescharacteristic
1920C4—22no—
1921C4—22no—
1922C4—22no—
1923C4—22no—
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—22no—
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—54no—
1933C4—102no—
1934C4—102no—
1935C4—102no—
1936C4—102no—
1937C4—102no—
1938C4—102no—
1939C4—102no—
1940C4—102no—
1941C4—102no—
1942C4—102no—
1943C4—102no—
1944C2—42no—
1945C2—42no—
1946C2—42no—
1947C2—104no—
1948C2—202no—
1949C2—202no—
1950C2—202no—
1951C2#1061836514yesdirect product factor
1952C2C2×#6628311yescharacteristic
1953C2C2×D5×H(5,𝔽2)11yescharacteristic
1954C2C2×D5×2−1+411yescharacteristic
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×#539C2
socleC23×C5C25
hypercenterC2×#539D5
hypocenterC5C2×#3559
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. C2×C5×#539C2semidirect
2. #10618365C2direct (N × H)
3. C2×#66041C2semidirect
4. C2×#66046C2semidirect
5. C2×#66043C2semidirect
6. C2×#66040C2semidirect
7. C2×#66023C2semidirect
8. C2×#66026C2semidirect
9. C2×#66026C2semidirect
10. C2×D5×#125C2semidirect
11. C2×#66001C2semidirect
12. C2×#66001C2semidirect
13. C2×#65989C2semidirect
14. C2×#65989C2semidirect
15. C2×#65994C2semidirect
16. C2×#65995C2semidirect
17. C2×#65995C2semidirect
18. C2×#65997C2semidirect
19. C2×#65965C2semidirect
20. C2×#65965C2semidirect
21. C2×#65963C2semidirect
22. C2×#65980C2semidirect
23. C2×#65970C2semidirect
24. C2×#65957C2semidirect
25. C2×#65942C2semidirect
26. C2×#65949C2semidirect
27. C2×#65885C2semidirect
28. C2×#65882C2semidirect
29. C2×#65874C2semidirect
30. C2×#65898C2semidirect
31. C2×#65841C2semidirect
32. C2×#65845C2semidirect
39. C5×#539C22semidirect
85. #66046C22semidirect
86. #66043C22semidirect
87. #66041C22semidirect
88. #66040C22semidirect
89. #66026C22semidirect
90. #66026C22semidirect
91. #66023C22semidirect
92. D5×#125C22semidirect
93. #66001C22semidirect
94. #66001C22semidirect
95. #65997C22semidirect
96. #65995C22semidirect
97. #65995C22semidirect
98. #65994C22semidirect
99. #65989C22semidirect
100. #65989C22semidirect
101. #65980C22semidirect
102. #65970C22semidirect
103. #65965C22semidirect
104. #65965C22semidirect
105. #65963C22semidirect
106. #65957C22semidirect
107. #65949C22semidirect
108. #65942C22semidirect
109. #65898C22semidirect
110. #65885C22semidirect
111. #65882C22semidirect
112. #65874C22semidirect
116. #65845C22semidirect
129. #65841C22semidirect
562. C2×#539D5semidirect
844. #539C2×D5semidirect
1749. C2×C5#3559semidirect
1887. C5C2×#3559semidirect
1951. C2#10618365direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5392
#106183652
C2×#660412
C2×#660462
C2×#660432
C2×#660402
C2×#660232
C2×#660262
C2×D5×#1252
C2×#660012
C2×#659892
C2×#659942
C2×#659952
C2×#659972
C2×#659652
C2×#659632
C2×#659802
C2×#659702
C2×#659572
C2×#659422
C2×#659492
C2×#658852
C2×#658822
C2×#658742
C2×#658982
C2×#658412
C2×#658452
C2×#35595