Finite Group Databasebeta

← C5×#35363 #11958083

Subgroups — C5×#35363 #11958083

Order 1280.

2418 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#539C211yesmaximal, characteristic, complemented
2C2×C5×#520C211yesmaximal, characteristic, complemented
3C5×#2611C211yesmaximal, characteristic, complemented
4C5×#2604C211yesmaximal, characteristic, complemented
5C5×#2602C211yesmaximal, characteristic, complemented
6C5×#2601C211yesmaximal, characteristic, complemented
7C5×#2584C211yesmaximal, characteristic, complemented
8C5×#2583C211yesmaximal, characteristic, complemented
9C5×#2478C211yesmaximal, characteristic, complemented
10C5×#2473C211yesmaximal, characteristic, complemented
11C5×#2470C211yesmaximal, characteristic, complemented
12C5×#2466C211yesmaximal, characteristic, complemented
13C5×#2465C211yesmaximal, characteristic, complemented
14C5×#2462C211yesmaximal, characteristic, complemented
15C5×#2455C211yesmaximal, characteristic, complemented
16C5×#2449C211yesmaximal, characteristic, complemented
17C5×#2449C211yesmaximal, characteristic, complemented
18C5×#2443C211yesmaximal, characteristic, complemented
19C5×#2438C211yesmaximal, characteristic, complemented
20C5×#2430C211yesmaximal, characteristic
21C5×#2425C211yesmaximal, characteristic, complemented
22C5×#2419C211yesmaximal, characteristic, complemented
23C5×#2415C211yesmaximal, characteristic, complemented
24C5×#2413C211yesmaximal, characteristic, complemented
25C5×#2413C211yesmaximal, characteristic, complemented
26C5×#2406C211yesmaximal, characteristic, complemented
27C5×#2322C211yesmaximal, characteristic, complemented
28C5×#2322C211yesmaximal, characteristic, complemented
29C4×C5×#121C211yesmaximal, characteristic, complemented
30C2×C5×#389C211yesmaximal, characteristic, complemented
31C5×#2290C211yesmaximal, characteristic, complemented
32C22×C5×#41C2211yescharacteristic
33C5×#539—28no—
34C2×C5×#126C2211yescharacteristic
35C2×C5×#126C2211yescharacteristic
36C2×C5×#125C2211yescharacteristic
37C2×C5×#125C2211yescharacteristic
38C2×C5×#123C2211yescharacteristic
39C2×C5×#123C2211yescharacteristic
40C2×C5×#123C2211yescharacteristic
41C2×C5×#123C2211yescharacteristic
42C2×C5×#123C2211yescharacteristic
43C2×C5×#123C2211yescharacteristic
44C2×C5×#123C2211yescharacteristic
45C2×C5×C22⋊Q8C2211yescharacteristic
46C2×C5×C22⋊Q8C2211yescharacteristic
47C2×C5×C22⋊Q8C2211yescharacteristic
48C2×C5×C22⋊Q8C2211yescharacteristic
49C2×C5×#121C2211yescharacteristic
50C2×C5×#121C2211yescharacteristic
51C5×#520—28no—
52C2×C4×C5×Q8C2211yescharacteristic
53C2×C4×C5×Q8C2211yescharacteristic
54C2×C4×C5×D4C2211yescharacteristic
55C2×C4×C5×D4C2211yescharacteristic
56C2×C4×C5×D4C2211yescharacteristic
57C2×C4×C5×D4C2211yescharacteristic
58C2×C4×C5×D4C2211yescharacteristic
59C2×C4×C5×D4C2211yescharacteristic
60C2×C4×C5×D4C2211yescharacteristic
61C2×C4×C5×D4C2211yescharacteristic
62C2×C5×#117C2211yescharacteristic
63C2×C5×#117C2211yescharacteristic
64C2×C5×#117C2211yescharacteristic
65C2×C5×#117C2211yescharacteristic
66C22×C5×C4⋊C4C2211yescharacteristic
67C22×C5×C4⋊C4C2211yescharacteristic
68C22×C5×C4⋊C4C2211yescharacteristic
69C22×C5×C4⋊C4C2211yescharacteristic
70C22×C5×C4⋊C4C2211yescharacteristic
71C22×C5×C4⋊C4C2211yescharacteristic
72C22×C42×C5C2211yescharacteristic
73C5×#400C2211yescharacteristic
74C5×#400C2211yescharacteristic
75C5×#399C2211yescharacteristic
76C5×#399C2211yescharacteristic
77C5×#398C2211yescharacteristic
78C5×#398C2211yescharacteristic
79C5×#398C2211yescharacteristic
80C5×#398C2211yescharacteristic
81C5×#398C2211yescharacteristic
82C5×#398C2211yescharacteristic
83C5×#398C2211yescharacteristic
84C5×#398C2211yescharacteristic
85C5×#397C2211yescharacteristic
86C5×#397C2211yescharacteristic
87C5×#397C2211yescharacteristic
88C5×#397C2211yescharacteristic
89C5×#396C2211yescharacteristic
90C5×#396C2211yescharacteristic
91C5×#396C2211yescharacteristic
92C5×#396C2211yescharacteristic
93C5×#395C2211yescharacteristic
94C5×#395C2211yescharacteristic
95C5×#395C2211yescharacteristic
96C5×#395C2211yescharacteristic
97C5×#395C2211yescharacteristic
98C5×#394C2211yescharacteristic
99C5×#394C2211yescharacteristic
100C5×#394C2211yescharacteristic
101C5×#394C2211yescharacteristic
102C5×#394C2211yescharacteristic
103C5×#393C2211yescharacteristic
104C5×#392C2211yescharacteristic
105C5×#391C2211yescharacteristic
106C5×#390C2211yescharacteristic
107C5×#389C2211yescharacteristic
108C5×#389C2211yescharacteristic
109C5×#389C2211yescharacteristic
110C5×#389C2211yescharacteristic
111C5×#389C2211yescharacteristic
112C5×#389C2211yescharacteristic
113C5×#389C2211yescharacteristic
114C5×#389C2211yescharacteristic
115C5×#389C2211yescharacteristic
116C5×#389C2211yescharacteristic
117C5×#389C2211yescharacteristic
118C5×#389C2211yescharacteristic
119C5×#389C2211yescharacteristic
120C5×#389C2211yescharacteristic
121C5×#389C2211yescharacteristic
122C5×#389C2211yescharacteristic
123C5×#389C2211yescharacteristic
124C5×#389C2211yescharacteristic
125C5×#388C2211yescharacteristic
126C5×#388C2211yescharacteristic
127C5×#388C2211yescharacteristic
128C5×#388C2211yescharacteristic
129C5×#388C2211yescharacteristic
130C5×#388C2211yescharacteristic
131C5×#388C2211yescharacteristic
132C5×#388C2211yescharacteristic
133C5×#388C2211yescharacteristic
134C5×#388C2211yescharacteristic
135C5×#388C2211yescharacteristic
136C5×#388C2211yescharacteristic
137C5×#387C2211yescharacteristic
138C5×#387C2211yescharacteristic
139C5×#387C2211yescharacteristic
140C5×#387C2211yescharacteristic
141C5×#387C2211yescharacteristic
142C5×#387C2211yescharacteristic
143C5×#387C2211yescharacteristic
144C5×#387C2211yescharacteristic
145C5×#387C2211yescharacteristic
146C5×#387C2211yescharacteristic
147C5×#387C2211yescharacteristic
148C5×#387C2211yescharacteristic
149C5×#386C2211yescharacteristic
150C5×#386C2211yescharacteristic
151C5×#386C2211yescharacteristic
152C5×#386C2211yescharacteristic
153C5×#386C2211yescharacteristic
154C5×#386C2211yescharacteristic
155C5×#386C2211yescharacteristic
156C5×#386C2211yescharacteristic
157C5×#386C2211yescharacteristic
158C5×#385C2211yescharacteristic
159C5×#385C2211yescharacteristic
160C5×#385C2211yescharacteristic
161C5×#385C2211yescharacteristic
162C5×#385C2211yescharacteristic
163C5×#385C2211yescharacteristic
164C5×#385C2211yescharacteristic
165C5×#385C2211yescharacteristic
166C5×#385C2211yescharacteristic
167C5×#385C2211yescharacteristic
168C5×#385C2211yescharacteristic
169C5×#385C2211yescharacteristic
170C5×#385C2211yescharacteristic
171C5×#385C2211yescharacteristic
172C5×#385C2211yescharacteristic
173C5×#385C2211yescharacteristic
174C5×#385C2211yescharacteristic
175C5×#381C2211yescharacteristic
176C5×#381C2211yescharacteristic
177C5×#381C2211yescharacteristic
178C5×#380C2211yescharacteristic
179C5×#380C2211yescharacteristic
180C4×C5×C4⋊C4C2211yescharacteristic
181C4×C5×C4⋊C4C2211yescharacteristic
182C4×C5×C22⋊C4C2211yescharacteristic
183C4×C5×C22⋊C4C2211yescharacteristic
184C4×C5×C22⋊C4C2211yescharacteristic
185C4×C5×C22⋊C4C2211yescharacteristic
186C5×#376C2211yescharacteristic
187C2×C5×#95C2211yescharacteristic
188C2×C5×#95C2211yescharacteristic
189#35363C511yesmaximal, characteristic, direct product factor, Sylow
190C2×C5×#41—24no—
191C2×C5×#41—24no—
192C2×C5×#41—24no—
193C22×C5×Q8C2311yescharacteristic
194C22×C5×Q8C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C22×C5×D4C2311yescharacteristic
197C22×C5×D4C2311yescharacteristic
198C22×C5×D4C2311yescharacteristic
199C22×C5×D4C2311yescharacteristic
200C22×C5×D4C2311yescharacteristic
201C23×C4×C5C2311yescharacteristic
202C23×C4×C5C2311yescharacteristic
203C23×C4×C5C2311yescharacteristic
204C23×C4×C5C2311yescharacteristic
205C23×C4×C5C2311yescharacteristic
206C23×C4×C5C2311yescharacteristic
207C23×C4×C5C2311yescharacteristic
208C23×C4×C5C2311yescharacteristic
209C23×C4×C5C2311yescharacteristic
210C23×C4×C5C2311yescharacteristic
211C23×C4×C5C2311yescharacteristic
212C23×C4×C5C2311yescharacteristic
213C23×C4×C5C2311yescharacteristic
214C23×C4×C5C2311yescharacteristic
215C5×#126—24no—
216C5×#126—24no—
217C5×#125—24no—
218C5×#125—24no—
219C5×#123—24no—
220C5×#123—24no—
221C5×#123—24no—
222C5×#123—24no—
223C5×#123—24no—
224C5×#123—24no—
225C5×#123—42no—
226C5×C22⋊Q8—24no—
227C5×C22⋊Q8—24no—
228C5×C22⋊Q8—24no—
229C5×C22⋊Q8—42no—
230C5×#121—24no—
231C5×#121—24no—
232C4×C5×Q8—24no—
233C4×C5×Q8—24no—
234C4×C5×D4—24no—
235C4×C5×D4—24no—
236C4×C5×D4—24no—
237C4×C5×D4—24no—
238C4×C5×D4—24no—
239C4×C5×D4—24no—
240C4×C5×D4—42no—
241C4×C5×D4D418yescomplemented
242C5×#117—24no—
243C5×#117—24no—
244C5×#117—24no—
245C5×#117—42no—
246C2×C5×C4⋊C4—24no—
247C2×C5×C4⋊C4—24no—
248C2×C5×C4⋊C4—24no—
249C2×C5×C4⋊C4—24no—
250C2×C5×C4⋊C4—24no—
251C2×C5×C4⋊C4—42no—
252C2×C5×C4⋊C4C2311yescharacteristic
253C2×C5×C4⋊C4C2311yescharacteristic
254C2×C5×C4⋊C4C2311yescharacteristic
255C2×C5×C4⋊C4C2311yescharacteristic
256C2×C5×C4⋊C4C2311yescharacteristic
257C2×C5×C4⋊C4C2311yescharacteristic
258C2×C5×C4⋊C4C2311yescharacteristic
259C2×C5×C4⋊C4C2311yescharacteristic
260C2×C5×C4⋊C4C2311yescharacteristic
261C2×C5×C4⋊C4C2311yescharacteristic
262C2×C5×C4⋊C4C2311yescharacteristic
263C2×C5×C4⋊C4C2311yescharacteristic
264C2×C5×C4⋊C4C2311yescharacteristic
265C2×C5×C4⋊C4C2311yescharacteristic
266C2×C5×C4⋊C4C2311yescharacteristic
267C2×C5×C4⋊C4C2311yescharacteristic
268C2×C5×C4⋊C4C2311yescharacteristic
269C2×C5×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
281C2×C5×C4⋊C4C2311yescharacteristic
282C2×C5×C4⋊C4C2311yescharacteristic
283C2×C5×C4⋊C4C2311yescharacteristic
284C2×C5×C4⋊C4C2311yescharacteristic
285C2×C5×C4⋊C4C2311yescharacteristic
286C2×C5×C4⋊C4C2311yescharacteristic
287C2×C5×C4⋊C4C2311yescharacteristic
288C2×C5×C4⋊C4C2311yescharacteristic
289C2×C5×C4⋊C4C2311yescharacteristic
290C2×C5×C4⋊C4C2311yescharacteristic
291C2×C5×C4⋊C4C2311yescharacteristic
292C2×C5×C4⋊C4C2311yescharacteristic
293C2×C5×C4⋊C4C2311yescharacteristic
294C2×C5×C4⋊C4C2311yescharacteristic
295C2×C5×C4⋊C4C2311yescharacteristic
296C2×C5×C4⋊C4C2311yescharacteristic
297C2×C5×C4⋊C4C2311yescharacteristic
298C2×C5×C22⋊C4C2311yescharacteristic
299C2×C5×C22⋊C4C2311yescharacteristic
300C2×C5×C22⋊C4C2311yescharacteristic
301C2×C5×C22⋊C4C2311yescharacteristic
302C2×C5×C22⋊C4C2311yescharacteristic
303C2×C5×C22⋊C4C2311yescharacteristic
304C2×C5×C22⋊C4C2311yescharacteristic
305C2×C5×C22⋊C4C2311yescharacteristic
306C2×C5×C22⋊C4C2311yescharacteristic
307C2×C5×C22⋊C4C2311yescharacteristic
308C2×C5×C22⋊C4C2311yescharacteristic
309C2×C5×C22⋊C4C2311yescharacteristic
310C2×C5×C22⋊C4C2311yescharacteristic
311C2×C5×C22⋊C4C2311yescharacteristic
312C2×C5×C22⋊C4C2311yescharacteristic
313C2×C5×C22⋊C4C2311yescharacteristic
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×C5×C22⋊C4C2311yescharacteristic
325C2×C5×C22⋊C4C2311yescharacteristic
326C2×C5×C22⋊C4C2311yescharacteristic
327C2×C5×C22⋊C4C2311yescharacteristic
328C2×C5×C22⋊C4C2311yescharacteristic
329C2×C5×C22⋊C4C2311yescharacteristic
330C2×C5×C22⋊C4C2311yescharacteristic
331C2×C5×C22⋊C4C2311yescharacteristic
332C2×C42×C5—42no—
333C2×C42×C5C2311yescharacteristic
334C2×C42×C5C2311yescharacteristic
335C2×C42×C5C2311yescharacteristic
336C2×C42×C5C2311yescharacteristic
337C2×C42×C5C2311yescharacteristic
338C2×C42×C5C2311yescharacteristic
339C2×C42×C5C2311yescharacteristic
340C2×C42×C5C2311yescharacteristic
341C2×C42×C5C2311yescharacteristic
342C2×C42×C5C2311yescharacteristic
343C2×C42×C5C2311yescharacteristic
344C2×C42×C5C2311yescharacteristic
345C2×C42×C5C2311yescharacteristic
346C5×#95C2311yescharacteristic
347C5×#95C2311yescharacteristic
348C5×#95C2311yescharacteristic
349C5×#95C2311yescharacteristic
350C5×#95C2311yescharacteristic
351C5×#95C2311yescharacteristic
352C5×#95C2311yescharacteristic
353C5×#95C2311yescharacteristic
354C5×#95C2311yescharacteristic
355C5×#95C2311yescharacteristic
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362C5×#95C2311yescharacteristic
363C5×#95C2311yescharacteristic
364C5×#95C2311yescharacteristic
365C5×#95C2311yescharacteristic
366C5×#95C2311yescharacteristic
367C5×#95C2311yescharacteristic
368C5×#95C2311yescharacteristic
369C5×#95C2311yescharacteristic
370C5×#95C2311yescharacteristic
371C5×#95C2311yescharacteristic
372C5×#95C2311yescharacteristic
373C5×#95C2311yescharacteristic
374C5×#95C2311yescharacteristic
375C5×#95C2311yescharacteristic
376C5×#95C2311yescharacteristic
377C5×#95C2311yescharacteristic
378C5×#95C2311yescharacteristic
379C5×#95C2311yescharacteristic
380C5×#95C2311yescharacteristic
381C5×#95C2311yescharacteristic
382C5×#95C2311yescharacteristic
383C5×#95C2311yescharacteristic
384C5×#95C2311yescharacteristic
385C5×#95C2311yescharacteristic
386C2×#539C2×C511yescharacteristic, complemented
387C2×#520C2×C511yescharacteristic, complemented
388#2611C2×C511yescharacteristic, complemented
389#2604C2×C511yescharacteristic, complemented
390#2602C2×C511yescharacteristic, complemented
391#2601C2×C511yescharacteristic, complemented
392#2584C2×C511yescharacteristic, complemented
393#2583C2×C511yescharacteristic, complemented
394#2478C2×C511yescharacteristic, complemented
395#2473C2×C511yescharacteristic, complemented
396#2470C2×C511yescharacteristic, complemented
397#2466C2×C511yescharacteristic, complemented
398#2465C2×C511yescharacteristic, complemented
399#2462C2×C511yescharacteristic, complemented
400#2455C2×C511yescharacteristic, complemented
401#2449C2×C511yescharacteristic, complemented
402#2449C2×C511yescharacteristic, complemented
403#2443C2×C511yescharacteristic, complemented
404#2438C2×C511yescharacteristic, complemented
405#2430C2×C511yescharacteristic
406#2425C2×C511yescharacteristic, complemented
407#2419C2×C511yescharacteristic, complemented
408#2415C2×C511yescharacteristic, complemented
409#2413C2×C511yescharacteristic, complemented
410#2413C2×C511yescharacteristic, complemented
411#2406C2×C511yescharacteristic, complemented
412#2322C2×C511yescharacteristic, complemented
413#2322C2×C511yescharacteristic, complemented
414C4×#121C2×C511yescharacteristic, complemented
415C2×#389C2×C511yescharacteristic, complemented
416#2290C2×C511yescharacteristic, complemented
417C24×C5C2411yescharacteristic
418C24×C5C2411yescharacteristic
419C24×C5C2411yescharacteristic
420C24×C5C2411yescharacteristic
421C5×#41—232no—
422C2×C5×Q8—22no—
423C2×C5×Q8—22no—
424C2×C5×Q8—22no—
425C2×C5×Q8—22no—
426C2×C5×Q8—41no—
427C2×C5×Q8—41no—
428C2×C5×D4—22no—
429C2×C5×D4—22no—
430C2×C5×D4—22no—
431C2×C5×D4—22no—
432C2×C5×D4—22no—
433C2×C5×D4—22no—
434C2×C5×D4—22no—
435C2×C5×D4—22no—
436C2×C5×D4—22no—
437C2×C5×D4—22no—
438C2×C5×D4—22no—
439C2×C5×D4—22no—
440C2×C5×D4—22no—
441C2×C5×D4—41no—
442C2×C5×D4—41no—
443C2×C5×D4—41no—
444C2×C5×D4C2×D414yes—
445C2×C5×D4#4114yes—
446C22×C4×C5—22no—
447C22×C4×C5—22no—
448C22×C4×C5—22no—
449C22×C4×C5—22no—
450C22×C4×C5—22no—
451C22×C4×C5—22no—
452C22×C4×C5—22no—
453C22×C4×C5—22no—
454C22×C4×C5—22no—
455C22×C4×C5—22no—
456C22×C4×C5—22no—
457C22×C4×C5—22no—
458C22×C4×C5—22no—
459C22×C4×C5—22no—
460C22×C4×C5—22no—
461C22×C4×C5—22no—
462C22×C4×C5—22no—
463C22×C4×C5—22no—
464C22×C4×C5—22no—
465C22×C4×C5—22no—
466C22×C4×C5—22no—
467C22×C4×C5—22no—
468C22×C4×C5—41no—
469C22×C4×C5—41no—
470C22×C4×C5—41no—
471C22×C4×C5—41no—
472C22×C4×C5—41no—
473C22×C4×C5—41no—
474C22×C4×C5—41no—
475C22×C4×C5—41no—
476C22×C4×C5—41no—
477C22×C4×C5—41no—
478C22×C4×C5—41no—
479C22×C4×C5—41no—
480C22×C4×C5—41no—
481C22×C4×C5—41no—
482C22×C4×C5—41no—
483C22×C4×C5—41no—
484C22×C4×C5—41no—
485C22×C4×C5C2×D414yes—
486C22×C4×C5C2×D414yes—
487C22×C4×C5#4114yes—
488C22×C4×C5C2411yescharacteristic
489C22×C4×C5C2411yescharacteristic
490C22×C4×C5C2411yescharacteristic
491C22×C4×C5C2411yescharacteristic
492C22×C4×C5C2411yescharacteristic
493C22×C4×C5C2411yescharacteristic
494C22×C4×C5C2411yescharacteristic
495C22×C4×C5C2411yescharacteristic
496C22×C4×C5C2411yescharacteristic
497C22×C4×C5C2411yescharacteristic
498C22×C4×C5C2411yescharacteristic
499C22×C4×C5C2411yescharacteristic
500C22×C4×C5C2411yescharacteristic
501C22×C4×C5C2411yescharacteristic
502C22×C4×C5C2411yescharacteristic
503C22×C4×C5C2411yescharacteristic
504C22×C4×C5C2411yescharacteristic
505C22×C4×C5C2411yescharacteristic
506C22×C4×C5C2411yescharacteristic
507C22×C4×C5C2411yescharacteristic
508C22×C4×C5C2411yescharacteristic
509C22×C4×C5C2411yescharacteristic
510C22×C4×C5C2411yescharacteristic
511C22×C4×C5C2411yescharacteristic
512C22×C4×C5C2411yescharacteristic
513C22×C4×C5C2411yescharacteristic
514C22×C4×C5C2411yescharacteristic
515C5×C4⋊C4—22no—
516C5×C4⋊C4—22no—
517C5×C4⋊C4—22no—
518C5×C4⋊C4—22no—
519C5×C4⋊C4—22no—
520C5×C4⋊C4—22no—
521C5×C4⋊C4—22no—
522C5×C4⋊C4—22no—
523C5×C4⋊C4—22no—
524C5×C4⋊C4—22no—
525C5×C4⋊C4—22no—
526C5×C4⋊C4—22no—
527C5×C4⋊C4—22no—
528C5×C4⋊C4—22no—
529C5×C4⋊C4—22no—
530C5×C4⋊C4—22no—
531C5×C4⋊C4—22no—
532C5×C4⋊C4—22no—
533C5×C4⋊C4—22no—
534C5×C4⋊C4—22no—
535C5×C4⋊C4—22no—
536C5×C4⋊C4—22no—
537C5×C4⋊C4—22no—
538C5×C4⋊C4—22no—
539C5×C4⋊C4—22no—
540C5×C4⋊C4—22no—
541C5×C4⋊C4—22no—
542C5×C4⋊C4—22no—
543C5×C4⋊C4—22no—
544C5×C4⋊C4—22no—
545C5×C4⋊C4—22no—
546C5×C4⋊C4—22no—
547C5×C4⋊C4—22no—
548C5×C4⋊C4—22no—
549C5×C4⋊C4—22no—
550C5×C4⋊C4—22no—
551C5×C4⋊C4—22no—
552C5×C4⋊C4—41no—
553C5×C4⋊C4—41no—
554C5×C4⋊C4—41no—
555C5×C4⋊C4—41no—
556C5×C4⋊C4—41no—
557C5×C4⋊C4—41no—
558C5×C4⋊C4—41no—
559C5×C4⋊C4—41no—
560C5×C4⋊C4C2×D414yes—
561C5×C22⋊C4—22no—
562C5×C22⋊C4—22no—
563C5×C22⋊C4—22no—
564C5×C22⋊C4—22no—
565C5×C22⋊C4—22no—
566C5×C22⋊C4—22no—
567C5×C22⋊C4—22no—
568C5×C22⋊C4—22no—
569C5×C22⋊C4—22no—
570C5×C22⋊C4—22no—
571C5×C22⋊C4—22no—
572C5×C22⋊C4—22no—
573C5×C22⋊C4—22no—
574C5×C22⋊C4—22no—
575C5×C22⋊C4—22no—
576C5×C22⋊C4—22no—
577C5×C22⋊C4—22no—
578C5×C22⋊C4—22no—
579C5×C22⋊C4—22no—
580C5×C22⋊C4—22no—
581C5×C22⋊C4—22no—
582C5×C22⋊C4—22no—
583C5×C22⋊C4—22no—
584C5×C22⋊C4—22no—
585C5×C22⋊C4—22no—
586C5×C22⋊C4—22no—
587C5×C22⋊C4—22no—
588C5×C22⋊C4—41no—
589C5×C22⋊C4—41no—
590C5×C22⋊C4—41no—
591C5×C22⋊C4—41no—
592C5×C22⋊C4—41no—
593C5×C22⋊C4C2×D414yes—
594C5×C22⋊C4C2×D414yes—
595C42×C5—22no—
596C42×C5—22no—
597C42×C5—22no—
598C42×C5—22no—
599C42×C5—22no—
600C42×C5—22no—
601C42×C5—22no—
602C42×C5—22no—
603C42×C5—41no—
604C42×C5—41no—
605C42×C5—41no—
606C42×C5—41no—
607C42×C5C2×D414yes—
608C22×#41C22×C511yescharacteristic
609#539—28no—
610C2×#126C22×C511yescharacteristic
611C2×#126C22×C511yescharacteristic
612C2×#125C22×C511yescharacteristic
613C2×#125C22×C511yescharacteristic
614C2×#123C22×C511yescharacteristic
615C2×#123C22×C511yescharacteristic
616C2×#123C22×C511yescharacteristic
617C2×#123C22×C511yescharacteristic
618C2×#123C22×C511yescharacteristic
619C2×#123C22×C511yescharacteristic
620C2×#123C22×C511yescharacteristic
621C2×C22⋊Q8C22×C511yescharacteristic
622C2×C22⋊Q8C22×C511yescharacteristic
623C2×C22⋊Q8C22×C511yescharacteristic
624C2×C22⋊Q8C22×C511yescharacteristic
625C2×#121C22×C511yescharacteristic
626C2×#121C22×C511yescharacteristic
627#520—28no—
628C2×C4×Q8C22×C511yescharacteristic
629C2×C4×Q8C22×C511yescharacteristic
630C2×C4×D4C22×C511yescharacteristic
631C2×C4×D4C22×C511yescharacteristic
632C2×C4×D4C22×C511yescharacteristic
633C2×C4×D4C22×C511yescharacteristic
634C2×C4×D4C22×C511yescharacteristic
635C2×C4×D4C22×C511yescharacteristic
636C2×C4×D4C22×C511yescharacteristic
637C2×C4×D4C22×C511yescharacteristic
638C2×#117C22×C511yescharacteristic
639C2×#117C22×C511yescharacteristic
640C2×#117C22×C511yescharacteristic
641C2×#117C22×C511yescharacteristic
642C22×C4⋊C4C22×C511yescharacteristic
643C22×C4⋊C4C22×C511yescharacteristic
644C22×C4⋊C4C22×C511yescharacteristic
645C22×C4⋊C4C22×C511yescharacteristic
646C22×C4⋊C4C22×C511yescharacteristic
647C22×C4⋊C4C22×C511yescharacteristic
648C22×C42C22×C511yescharacteristic
649#400C22×C511yescharacteristic
650#400C22×C511yescharacteristic
651#399C22×C511yescharacteristic
652#399C22×C511yescharacteristic
653#398C22×C511yescharacteristic
654#398C22×C511yescharacteristic
655#398C22×C511yescharacteristic
656#398C22×C511yescharacteristic
657#398C22×C511yescharacteristic
658#398C22×C511yescharacteristic
659#398C22×C511yescharacteristic
660#398C22×C511yescharacteristic
661#397C22×C511yescharacteristic
662#397C22×C511yescharacteristic
663#397C22×C511yescharacteristic
664#397C22×C511yescharacteristic
665#396C22×C511yescharacteristic
666#396C22×C511yescharacteristic
667#396C22×C511yescharacteristic
668#396C22×C511yescharacteristic
669#395C22×C511yescharacteristic
670#395C22×C511yescharacteristic
671#395C22×C511yescharacteristic
672#395C22×C511yescharacteristic
673#395C22×C511yescharacteristic
674#394C22×C511yescharacteristic
675#394C22×C511yescharacteristic
676#394C22×C511yescharacteristic
677#394C22×C511yescharacteristic
678#394C22×C511yescharacteristic
679#393C22×C511yescharacteristic
680#392C22×C511yescharacteristic
681#391C22×C511yescharacteristic
682#390C22×C511yescharacteristic
683#389C22×C511yescharacteristic
684#389C22×C511yescharacteristic
685#389C22×C511yescharacteristic
686#389C22×C511yescharacteristic
687#389C22×C511yescharacteristic
688#389C22×C511yescharacteristic
689#389C22×C511yescharacteristic
690#389C22×C511yescharacteristic
691#389C22×C511yescharacteristic
692#389C22×C511yescharacteristic
693#389C22×C511yescharacteristic
694#389C22×C511yescharacteristic
695#389C22×C511yescharacteristic
696#389C22×C511yescharacteristic
697#389C22×C511yescharacteristic
698#389C22×C511yescharacteristic
699#389C22×C511yescharacteristic
700#389C22×C511yescharacteristic
701#388C22×C511yescharacteristic
702#388C22×C511yescharacteristic
703#388C22×C511yescharacteristic
704#388C22×C511yescharacteristic
705#388C22×C511yescharacteristic
706#388C22×C511yescharacteristic
707#388C22×C511yescharacteristic
708#388C22×C511yescharacteristic
709#388C22×C511yescharacteristic
710#388C22×C511yescharacteristic
711#388C22×C511yescharacteristic
712#388C22×C511yescharacteristic
713#387C22×C511yescharacteristic
714#387C22×C511yescharacteristic
715#387C22×C511yescharacteristic
716#387C22×C511yescharacteristic
717#387C22×C511yescharacteristic
718#387C22×C511yescharacteristic
719#387C22×C511yescharacteristic
720#387C22×C511yescharacteristic
721#387C22×C511yescharacteristic
722#387C22×C511yescharacteristic
723#387C22×C511yescharacteristic
724#387C22×C511yescharacteristic
725#386C22×C511yescharacteristic
726#386C22×C511yescharacteristic
727#386C22×C511yescharacteristic
728#386C22×C511yescharacteristic
729#386C22×C511yescharacteristic
730#386C22×C511yescharacteristic
731#386C22×C511yescharacteristic
732#386C22×C511yescharacteristic
733#386C22×C511yescharacteristic
734#385C22×C511yescharacteristic
735#385C22×C511yescharacteristic
736#385C22×C511yescharacteristic
737#385C22×C511yescharacteristic
738#385C22×C511yescharacteristic
739#385C22×C511yescharacteristic
740#385C22×C511yescharacteristic
741#385C22×C511yescharacteristic
742#385C22×C511yescharacteristic
743#385C22×C511yescharacteristic
744#385C22×C511yescharacteristic
745#385C22×C511yescharacteristic
746#385C22×C511yescharacteristic
747#385C22×C511yescharacteristic
748#385C22×C511yescharacteristic
749#385C22×C511yescharacteristic
750#385C22×C511yescharacteristic
751#381C22×C511yescharacteristic
752#381C22×C511yescharacteristic
753#381C22×C511yescharacteristic
754#380C22×C511yescharacteristic
755#380C22×C511yescharacteristic
756C4×C4⋊C4C22×C511yescharacteristic
757C4×C4⋊C4C22×C511yescharacteristic
758C4×C22⋊C4C22×C511yescharacteristic
759C4×C22⋊C4C22×C511yescharacteristic
760C4×C22⋊C4C22×C511yescharacteristic
761C4×C22⋊C4C22×C511yescharacteristic
762#376C22×C511yescharacteristic
763C2×#95C22×C511yescharacteristic
764C2×#95C22×C511yescharacteristic
765C23×C5—21no—
766C23×C5—21no—
767C23×C5—21no—
768C23×C5—21no—
769C23×C5—21no—
770C23×C5—21no—
771C23×C5—21no—
772C23×C5—21no—
773C23×C5—21no—
774C23×C5—21no—
775C23×C5—21no—
776C23×C5—21no—
777C23×C5—21no—
778C23×C5—21no—
779C23×C5—21no—
780C23×C5—21no—
781C23×C5—21no—
782C23×C5—21no—
783C23×C5—21no—
784C23×C5—21no—
785C23×C5—21no—
786C23×C5—21no—
787C23×C5—21no—
788C23×C5C22×D412yes—
789C23×C5C22×D412yes—
790C23×C5C2×#4112yes—
791C23×C5C2×#4112yes—
792C23×C5C2×#4112yes—
793C23×C5C2511yescharacteristic
794C5×Q8—28no—
795C5×Q8—82no—
796C5×D4—28no—
797C5×D4—28no—
798C5×D4—28no—
799C5×D4—44no—
800C5×D4—44no—
801C5×D4—82no—
802C2×C4×C5—28no—
803C2×C4×C5—28no—
804C2×C4×C5—28no—
805C2×C4×C5—28no—
806C2×C4×C5—21no—
807C2×C4×C5—21no—
808C2×C4×C5—21no—
809C2×C4×C5—21no—
810C2×C4×C5—21no—
811C2×C4×C5—21no—
812C2×C4×C5—21no—
813C2×C4×C5—21no—
814C2×C4×C5—21no—
815C2×C4×C5—21no—
816C2×C4×C5—21no—
817C2×C4×C5—21no—
818C2×C4×C5—21no—
819C2×C4×C5—21no—
820C2×C4×C5—21no—
821C2×C4×C5—21no—
822C2×C4×C5—21no—
823C2×C4×C5—21no—
824C2×C4×C5—21no—
825C2×C4×C5—21no—
826C2×C4×C5—21no—
827C2×C4×C5—21no—
828C2×C4×C5—21no—
829C2×C4×C5—21no—
830C2×C4×C5—21no—
831C2×C4×C5—21no—
832C2×C4×C5—21no—
833C2×C4×C5—21no—
834C2×C4×C5—21no—
835C2×C4×C5—21no—
836C2×C4×C5—21no—
837C2×C4×C5—21no—
838C2×C4×C5—21no—
839C2×C4×C5—21no—
840C2×C4×C5—21no—
841C2×C4×C5—21no—
842C2×C4×C5—21no—
843C2×C4×C5—21no—
844C2×C4×C5—21no—
845C2×C4×C5—21no—
846C2×C4×C5—21no—
847C2×C4×C5—21no—
848C2×C4×C5—21no—
849C2×C4×C5—21no—
850C2×C4×C5—21no—
851C2×C4×C5—21no—
852C2×C4×C5—21no—
853C2×C4×C5—21no—
854C2×C4×C5—21no—
855C2×C4×C5—21no—
856C2×C4×C5—21no—
857C2×C4×C5—21no—
858C2×C4×C5—21no—
859C2×C4×C5—21no—
860C2×C4×C5—21no—
861C2×C4×C5—21no—
862C2×C4×C5—21no—
863C2×C4×C5—21no—
864C2×C4×C5—21no—
865C2×C4×C5—21no—
866C2×C4×C5—21no—
867C2×C4×C5—21no—
868C2×C4×C5—21no—
869C2×C4×C5—21no—
870C2×C4×C5—21no—
871C2×C4×C5—21no—
872C2×C4×C5—21no—
873C2×C4×C5—21no—
874C2×C4×C5—21no—
875C2×C4×C5—21no—
876C2×C4×C5—44no—
877C2×C4×C5—44no—
878C2×C4×C5—44no—
879C2×C4×C5—44no—
880C2×C4×C5—82no—
881C2×C4×C5—82no—
882C2×C4×C5—82no—
883C2×C4×C5—82no—
884C2×C4×C5—82no—
885C2×C4×C5—82no—
886C2×C4×C5C22×D412yes—
887C2×C4×C5C22×D412yes—
888C2×C4×C5C22×D412yes—
889C2×C4×C5C22×D412yes—
890C2×C4×C5C22×D412yes—
891C2×C4×C5C2×#4112yes—
892C2×C4×C5C2×#4112yes—
893C2×C4×C5C2×#4112yes—
894C2×C4×C5H(5,𝔽2)12yes—
895C2×C4×C52−1+412yes—
896C2×C4×C52−1+412yes—
897C2×#41—24no—
898C2×#41—24no—
899C2×#41—24no—
900C22×Q8C23×C511yescharacteristic
901C22×Q8C23×C511yescharacteristic
902C22×D4C23×C511yescharacteristic
903C22×D4C23×C511yescharacteristic
904C22×D4C23×C511yescharacteristic
905C22×D4C23×C511yescharacteristic
906C22×D4C23×C511yescharacteristic
907C22×D4C23×C511yescharacteristic
908C23×C4C23×C511yescharacteristic
909C23×C4C23×C511yescharacteristic
910C23×C4C23×C511yescharacteristic
911C23×C4C23×C511yescharacteristic
912C23×C4C23×C511yescharacteristic
913C23×C4C23×C511yescharacteristic
914C23×C4C23×C511yescharacteristic
915C23×C4C23×C511yescharacteristic
916C23×C4C23×C511yescharacteristic
917C23×C4C23×C511yescharacteristic
918C23×C4C23×C511yescharacteristic
919C23×C4C23×C511yescharacteristic
920C23×C4C23×C511yescharacteristic
921C23×C4C23×C511yescharacteristic
922#126—24no—
923#126—24no—
924#125—24no—
925#125—24no—
926#123—24no—
927#123—24no—
928#123—24no—
929#123—24no—
930#123—24no—
931#123—24no—
932#123—42no—
933C22⋊Q8—24no—
934C22⋊Q8—24no—
935C22⋊Q8—24no—
936C22⋊Q8—42no—
937#121—24no—
938#121—24no—
939C4×Q8—24no—
940C4×Q8—24no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—42no—
948C4×D4C5×D418yescomplemented
949#117—24no—
950#117—24no—
951#117—24no—
952#117—42no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—24no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—24no—
957C2×C4⋊C4—24no—
958C2×C4⋊C4—42no—
959C2×C4⋊C4C23×C511yescharacteristic
960C2×C4⋊C4C23×C511yescharacteristic
961C2×C4⋊C4C23×C511yescharacteristic
962C2×C4⋊C4C23×C511yescharacteristic
963C2×C4⋊C4C23×C511yescharacteristic
964C2×C4⋊C4C23×C511yescharacteristic
965C2×C4⋊C4C23×C511yescharacteristic
966C2×C4⋊C4C23×C511yescharacteristic
967C2×C4⋊C4C23×C511yescharacteristic
968C2×C4⋊C4C23×C511yescharacteristic
969C2×C4⋊C4C23×C511yescharacteristic
970C2×C4⋊C4C23×C511yescharacteristic
971C2×C4⋊C4C23×C511yescharacteristic
972C2×C4⋊C4C23×C511yescharacteristic
973C2×C4⋊C4C23×C511yescharacteristic
974C2×C4⋊C4C23×C511yescharacteristic
975C2×C4⋊C4C23×C511yescharacteristic
976C2×C4⋊C4C23×C511yescharacteristic
977C2×C4⋊C4C23×C511yescharacteristic
978C2×C4⋊C4C23×C511yescharacteristic
979C2×C4⋊C4C23×C511yescharacteristic
980C2×C4⋊C4C23×C511yescharacteristic
981C2×C4⋊C4C23×C511yescharacteristic
982C2×C4⋊C4C23×C511yescharacteristic
983C2×C4⋊C4C23×C511yescharacteristic
984C2×C4⋊C4C23×C511yescharacteristic
985C2×C4⋊C4C23×C511yescharacteristic
986C2×C4⋊C4C23×C511yescharacteristic
987C2×C4⋊C4C23×C511yescharacteristic
988C2×C4⋊C4C23×C511yescharacteristic
989C2×C4⋊C4C23×C511yescharacteristic
990C2×C4⋊C4C23×C511yescharacteristic
991C2×C4⋊C4C23×C511yescharacteristic
992C2×C4⋊C4C23×C511yescharacteristic
993C2×C4⋊C4C23×C511yescharacteristic
994C2×C4⋊C4C23×C511yescharacteristic
995C2×C4⋊C4C23×C511yescharacteristic
996C2×C4⋊C4C23×C511yescharacteristic
997C2×C4⋊C4C23×C511yescharacteristic
998C2×C4⋊C4C23×C511yescharacteristic
999C2×C4⋊C4C23×C511yescharacteristic
1000C2×C4⋊C4C23×C511yescharacteristic
1001C2×C4⋊C4C23×C511yescharacteristic
1002C2×C4⋊C4C23×C511yescharacteristic
1003C2×C4⋊C4C23×C511yescharacteristic
1004C2×C4⋊C4C23×C511yescharacteristic
1005C2×C22⋊C4C23×C511yescharacteristic
1006C2×C22⋊C4C23×C511yescharacteristic
1007C2×C22⋊C4C23×C511yescharacteristic
1008C2×C22⋊C4C23×C511yescharacteristic
1009C2×C22⋊C4C23×C511yescharacteristic
1010C2×C22⋊C4C23×C511yescharacteristic
1011C2×C22⋊C4C23×C511yescharacteristic
1012C2×C22⋊C4C23×C511yescharacteristic
1013C2×C22⋊C4C23×C511yescharacteristic
1014C2×C22⋊C4C23×C511yescharacteristic
1015C2×C22⋊C4C23×C511yescharacteristic
1016C2×C22⋊C4C23×C511yescharacteristic
1017C2×C22⋊C4C23×C511yescharacteristic
1018C2×C22⋊C4C23×C511yescharacteristic
1019C2×C22⋊C4C23×C511yescharacteristic
1020C2×C22⋊C4C23×C511yescharacteristic
1021C2×C22⋊C4C23×C511yescharacteristic
1022C2×C22⋊C4C23×C511yescharacteristic
1023C2×C22⋊C4C23×C511yescharacteristic
1024C2×C22⋊C4C23×C511yescharacteristic
1025C2×C22⋊C4C23×C511yescharacteristic
1026C2×C22⋊C4C23×C511yescharacteristic
1027C2×C22⋊C4C23×C511yescharacteristic
1028C2×C22⋊C4C23×C511yescharacteristic
1029C2×C22⋊C4C23×C511yescharacteristic
1030C2×C22⋊C4C23×C511yescharacteristic
1031C2×C22⋊C4C23×C511yescharacteristic
1032C2×C22⋊C4C23×C511yescharacteristic
1033C2×C22⋊C4C23×C511yescharacteristic
1034C2×C22⋊C4C23×C511yescharacteristic
1035C2×C22⋊C4C23×C511yescharacteristic
1036C2×C22⋊C4C23×C511yescharacteristic
1037C2×C22⋊C4C23×C511yescharacteristic
1038C2×C22⋊C4C23×C511yescharacteristic
1039C2×C42—42no—
1040C2×C42C23×C511yescharacteristic
1041C2×C42C23×C511yescharacteristic
1042C2×C42C23×C511yescharacteristic
1043C2×C42C23×C511yescharacteristic
1044C2×C42C23×C511yescharacteristic
1045C2×C42C23×C511yescharacteristic
1046C2×C42C23×C511yescharacteristic
1047C2×C42C23×C511yescharacteristic
1048C2×C42C23×C511yescharacteristic
1049C2×C42C23×C511yescharacteristic
1050C2×C42C23×C511yescharacteristic
1051C2×C42C23×C511yescharacteristic
1052C2×C42C23×C511yescharacteristic
1053#95C23×C511yescharacteristic
1054#95C23×C511yescharacteristic
1055#95C23×C511yescharacteristic
1056#95C23×C511yescharacteristic
1057#95C23×C511yescharacteristic
1058#95C23×C511yescharacteristic
1059#95C23×C511yescharacteristic
1060#95C23×C511yescharacteristic
1061#95C23×C511yescharacteristic
1062#95C23×C511yescharacteristic
1063#95C23×C511yescharacteristic
1064#95C23×C511yescharacteristic
1065#95C23×C511yescharacteristic
1066#95C23×C511yescharacteristic
1067#95C23×C511yescharacteristic
1068#95C23×C511yescharacteristic
1069#95C23×C511yescharacteristic
1070#95C23×C511yescharacteristic
1071#95C23×C511yescharacteristic
1072#95C23×C511yescharacteristic
1073#95C23×C511yescharacteristic
1074#95C23×C511yescharacteristic
1075#95C23×C511yescharacteristic
1076#95C23×C511yescharacteristic
1077#95C23×C511yescharacteristic
1078#95C23×C511yescharacteristic
1079#95C23×C511yescharacteristic
1080#95C23×C511yescharacteristic
1081#95C23×C511yescharacteristic
1082#95C23×C511yescharacteristic
1083#95C23×C511yescharacteristic
1084#95C23×C511yescharacteristic
1085#95C23×C511yescharacteristic
1086#95C23×C511yescharacteristic
1087#95C23×C511yescharacteristic
1088#95C23×C511yescharacteristic
1089#95C23×C511yescharacteristic
1090#95C23×C511yescharacteristic
1091#95C23×C511yescharacteristic
1092#95C23×C511yescharacteristic
1093C22×C5—22no—
1094C22×C5—22no—
1095C22×C5—22no—
1096C22×C5—22no—
1097C22×C5—22no—
1098C22×C5—22no—
1099C22×C5—22no—
1100C22×C5—22no—
1101C22×C5—22no—
1102C22×C5—22no—
1103C22×C5—22no—
1104C22×C5—22no—
1105C22×C5—41no—
1106C22×C5—41no—
1107C22×C5—41no—
1108C22×C5—41no—
1109C22×C5—41no—
1110C22×C5—41no—
1111C22×C5—41no—
1112C22×C5—41no—
1113C22×C5—41no—
1114C22×C5—41no—
1115C22×C5—41no—
1116C22×C5—41no—
1117C22×C5—41no—
1118C22×C5—41no—
1119C22×C5—41no—
1120C22×C5#52514yes—
1121C22×C5C23×D411yescharacteristic
1122C22×C5C22×#4111yescharacteristic
1123C22×C5C22×#4111yescharacteristic
1124C22×C5C2×H(5,𝔽2)11yescharacteristic
1125C22×C5C2×2−1+411yescharacteristic
1126C22×C5C2×2−1+411yescharacteristic
1127C22×C5#58511yescharacteristic
1128C4×C5—22no—
1129C4×C5—22no—
1130C4×C5—22no—
1131C4×C5—22no—
1132C4×C5—22no—
1133C4×C5—22no—
1134C4×C5—22no—
1135C4×C5—22no—
1136C4×C5—22no—
1137C4×C5—22no—
1138C4×C5—22no—
1139C4×C5—41no—
1140C4×C5—41no—
1141C4×C5—41no—
1142C4×C5—41no—
1143C4×C5—41no—
1144C4×C5—41no—
1145C4×C5—41no—
1146C4×C5—41no—
1147C4×C5—41no—
1148C4×C5—41no—
1149C4×C5—41no—
1150C4×C5—41no—
1151C4×C5—41no—
1152C4×C5—41no—
1153C4×C5—41no—
1154C4×C5—41no—
1155C24C24×C511yescharacteristic
1156C24C24×C511yescharacteristic
1157C24C24×C511yescharacteristic
1158C24C24×C511yescharacteristic
1159#41—232no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—22no—
1164C2×Q8—41no—
1165C2×Q8—41no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4C2×C5×D414yes—
1183C2×D4C5×#4114yes—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4C2×C5×D414yes—
1224C22×C4C2×C5×D414yes—
1225C22×C4C5×#4114yes—
1226C22×C4C24×C511yescharacteristic
1227C22×C4C24×C511yescharacteristic
1228C22×C4C24×C511yescharacteristic
1229C22×C4C24×C511yescharacteristic
1230C22×C4C24×C511yescharacteristic
1231C22×C4C24×C511yescharacteristic
1232C22×C4C24×C511yescharacteristic
1233C22×C4C24×C511yescharacteristic
1234C22×C4C24×C511yescharacteristic
1235C22×C4C24×C511yescharacteristic
1236C22×C4C24×C511yescharacteristic
1237C22×C4C24×C511yescharacteristic
1238C22×C4C24×C511yescharacteristic
1239C22×C4C24×C511yescharacteristic
1240C22×C4C24×C511yescharacteristic
1241C22×C4C24×C511yescharacteristic
1242C22×C4C24×C511yescharacteristic
1243C22×C4C24×C511yescharacteristic
1244C22×C4C24×C511yescharacteristic
1245C22×C4C24×C511yescharacteristic
1246C22×C4C24×C511yescharacteristic
1247C22×C4C24×C511yescharacteristic
1248C22×C4C24×C511yescharacteristic
1249C22×C4C24×C511yescharacteristic
1250C22×C4C24×C511yescharacteristic
1251C22×C4C24×C511yescharacteristic
1252C22×C4C24×C511yescharacteristic
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4C2×C5×D414yes—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4C2×C5×D414yes—
1332C22⋊C4C2×C5×D414yes—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—41no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42C2×C5×D414yes—
1346C2×C5—24no—
1347C2×C5—42no—
1348C2×C5—42no—
1349C2×C5—81no—
1350C2×C5C2×#52511yescharacteristic
1351C2×C5#349211yescharacteristic
1352C2×C5#349611yescharacteristic
1353C2×C5#349911yescharacteristic
1354C2×C5#350711yescharacteristic
1355C2×C5#351511yescharacteristic
1356C2×C5#352011yescharacteristic
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23C22×C5×D412yes—
1381C23C22×C5×D412yes—
1382C23C2×C5×#4112yes—
1383C23C2×C5×#4112yes—
1384C23C2×C5×#4112yes—
1385C23C25×C511yescharacteristic
1386Q8—28no—
1387Q8—82no—
1388D4—28no—
1389D4—28no—
1390D4—28no—
1391D4—44no—
1392D4—44no—
1393D4—82no—
1394C2×C4—28no—
1395C2×C4—28no—
1396C2×C4—28no—
1397C2×C4—28no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
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—21no—
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—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—44no—
1469C2×C4—44no—
1470C2×C4—44no—
1471C2×C4—44no—
1472C2×C4—82no—
1473C2×C4—82no—
1474C2×C4—82no—
1475C2×C4—82no—
1476C2×C4—82no—
1477C2×C4—82no—
1478C2×C4C22×C5×D412yes—
1479C2×C4C22×C5×D412yes—
1480C2×C4C22×C5×D412yes—
1481C2×C4C22×C5×D412yes—
1482C2×C4C22×C5×D412yes—
1483C2×C4C2×C5×#4112yes—
1484C2×C4C2×C5×#4112yes—
1485C2×C4C2×C5×#4112yes—
1486C2×C4C5×H(5,𝔽2)12yes—
1487C2×C4C5×2−1+412yes—
1488C2×C4C5×2−1+412yes—
1489C5#3536311yescharacteristic, direct product factor, Sylow
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22C5×#52514yes—
1518C22C23×C5×D411yescharacteristic
1519C22C22×C5×#4111yescharacteristic
1520C22C22×C5×#4111yescharacteristic
1521C22C2×C5×H(5,𝔽2)11yescharacteristic
1522C22C2×C5×2−1+411yescharacteristic
1523C22C2×C5×2−1+411yescharacteristic
1524C22C5×#58511yescharacteristic
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C2—24no—
1553C2—42no—
1554C2—42no—
1555C2—81no—
1556C2C2×C5×#52511yescharacteristic
1557C2C5×#349211yescharacteristic
1558C2C5×#349611yescharacteristic
1559C2C5×#349911yescharacteristic
1560C2C5×#350711yescharacteristic
1561C2C5×#351511yescharacteristic
1562C2C5×#352011yescharacteristic
subgroupG/H
center, socleC23×C5C25
commutator, Frattini, cosocleC23C25×C5
prime radicalC5×#2430C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C5 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C5×#539C2semidirect
2. C2×C5×#520C2semidirect
3. C5×#2611C2semidirect
4. C5×#2604C2semidirect
5. C5×#2602C2semidirect
6. C5×#2601C2semidirect
7. C5×#2584C2semidirect
8. C5×#2583C2semidirect
9. C5×#2478C2semidirect
10. C5×#2473C2semidirect
11. C5×#2470C2semidirect
12. C5×#2466C2semidirect
13. C5×#2465C2semidirect
14. C5×#2462C2semidirect
15. C5×#2455C2semidirect
16. C5×#2449C2semidirect
17. C5×#2449C2semidirect
18. C5×#2443C2semidirect
19. C5×#2438C2semidirect
21. C5×#2425C2semidirect
22. C5×#2419C2semidirect
23. C5×#2415C2semidirect
24. C5×#2413C2semidirect
25. C5×#2413C2semidirect
26. C5×#2406C2semidirect
27. C5×#2322C2semidirect
28. C5×#2322C2semidirect
29. C4×C5×#121C2semidirect
30. C2×C5×#389C2semidirect
31. C5×#2290C2semidirect
189. #35363C5direct (N × H)
241. C4×C5×D4D4semidirect
386. C2×#539C2×C5semidirect
387. C2×#520C2×C5semidirect
388. #2611C2×C5semidirect
389. #2604C2×C5semidirect
390. #2602C2×C5semidirect
391. #2601C2×C5semidirect
392. #2584C2×C5semidirect
393. #2583C2×C5semidirect
394. #2478C2×C5semidirect
395. #2473C2×C5semidirect
396. #2470C2×C5semidirect
397. #2466C2×C5semidirect
398. #2465C2×C5semidirect
399. #2462C2×C5semidirect
400. #2455C2×C5semidirect
401. #2449C2×C5semidirect
402. #2449C2×C5semidirect
403. #2443C2×C5semidirect
404. #2438C2×C5semidirect
406. #2425C2×C5semidirect
407. #2419C2×C5semidirect
408. #2415C2×C5semidirect
409. #2413C2×C5semidirect
410. #2413C2×C5semidirect
411. #2406C2×C5semidirect
412. #2322C2×C5semidirect
413. #2322C2×C5semidirect
414. C4×#121C2×C5semidirect
415. C2×#389C2×C5semidirect
416. #2290C2×C5semidirect
948. C4×D4C5×D4semidirect
1489. C5#35363direct (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
C2×C5×#5202
C5×#26112
C5×#26042
C5×#26022
C5×#26012
C5×#25842
C5×#25832
C5×#24782
C5×#24732
C5×#24702
C5×#24662
C5×#24652
C5×#24622
C5×#24552
C5×#24492
C5×#24432
C5×#24382
C5×#24302
C5×#24252
C5×#24192
C5×#24152
C5×#24132
C5×#24062
C5×#23222
C4×C5×#1212
C2×C5×#3892
C5×#22902
#353635