Finite Group Databasebeta

← C5×#34450 #11957170

Subgroups — C5×#34450 #11957170

Order 1280.

2290 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×#540C211yesmaximal, characteristic
2C5×#2382C211yesmaximal, characteristic, complemented
3C5×#2377C211yesmaximal, characteristic, complemented
4C5×#2377C211yesmaximal, characteristic, complemented
5C5×#2376C211yesmaximal, characteristic, complemented
6C5×#2374C211yesmaximal, characteristic, complemented
7C5×#2371C211yesmaximal, characteristic, complemented
8C5×#2364C211yesmaximal, characteristic, complemented
9C5×#2364C211yesmaximal, characteristic, complemented
10C5×#2363C211yesmaximal, characteristic, complemented
11C5×#2361C211yesmaximal, characteristic, complemented
12C5×#2359C211yesmaximal, characteristic, complemented
13C5×#2359C211yesmaximal, characteristic, complemented
14C5×#2353C211yesmaximal, characteristic, complemented
15C5×#2352C211yesmaximal, characteristic, complemented
16C5×#2346C211yesmaximal, characteristic, complemented
17C5×#2343C211yesmaximal, characteristic, complemented
18C5×#2335C211yesmaximal, characteristic, complemented
19C5×#2335C211yesmaximal, characteristic, complemented
20C5×#2333C211yesmaximal, characteristic, complemented
21C5×#2333C211yesmaximal, characteristic, complemented
22C5×#2328C211yesmaximal, characteristic, complemented
23C5×#2328C211yesmaximal, characteristic, complemented
24C5×#2325C211yesmaximal, characteristic, complemented
25C5×#2325C211yesmaximal, characteristic, complemented
26C5×#2324C211yesmaximal, characteristic, complemented
27C5×#2322C211yesmaximal, characteristic, complemented
28C5×#2318C211yesmaximal, characteristic, complemented
29C4×C5×#123C211yesmaximal, characteristic, complemented
30C4×C5×#121C211yesmaximal, characteristic, complemented
31C5×#2290C211yesmaximal, characteristic, complemented
32C5×#540C4116yescomplemented
33C2×C5×#127C2211yescharacteristic
34C2×C5×#125C2211yescharacteristic
35C2×C5×#123C2211yescharacteristic
36C2×C5×#123C2211yescharacteristic
37C2×C5×#123C2211yescharacteristic
38C2×C5×#123C2211yescharacteristic
39C2×C5×#121C2211yescharacteristic
40C2×C5×#121C2211yescharacteristic
41C2×C5×#121C2211yescharacteristic
42C2×C5×#121C2211yescharacteristic
43C2×C5×#121C2211yescharacteristic
44C2×C5×#121C2211yescharacteristic
45C2×C4×C5×D4C2211yescharacteristic
46C2×C4×C5×D4C2211yescharacteristic
47C2×C4×C5×D4C2211yescharacteristic
48C2×C4×C5×D4C2211yescharacteristic
49C2×C4×C5×D4C2211yescharacteristic
50C2×C4×C5×D4C2211yescharacteristic
51C2×C4×C5×D4C2211yescharacteristic
52C2×C4×C5×D4C2211yescharacteristic
53C2×C4×C5×D4C2211yescharacteristic
54C2×C4×C5×D4C2211yescharacteristic
55C2×C5×#117C2211yescharacteristic
56C2×C5×#117C2211yescharacteristic
57C2×C5×#117C2211yescharacteristic
58C22×C5×C4⋊C4C2211yescharacteristic
59C22×C42×C5C2211yescharacteristic
60C5×#390C2211yescharacteristic
61C5×#390C2211yescharacteristic
62C5×#390C2211yescharacteristic
63C5×#390C2211yescharacteristic
64C5×#390C2211yescharacteristic
65C5×#390C2211yescharacteristic
66C5×#390C2211yescharacteristic
67C5×#390C2211yescharacteristic
68C5×#389C2211yescharacteristic
69C5×#389C2211yescharacteristic
70C5×#389C2211yescharacteristic
71C5×#389C2211yescharacteristic
72C5×#389C2211yescharacteristic
73C5×#389C2211yescharacteristic
74C5×#388C2211yescharacteristic
75C5×#388C2211yescharacteristic
76C5×#388C2211yescharacteristic
77C5×#388C2211yescharacteristic
78C5×#388C2211yescharacteristic
79C5×#388C2211yescharacteristic
80C5×#388C2211yescharacteristic
81C5×#388C2211yescharacteristic
82C5×#388C2211yescharacteristic
83C5×#388C2211yescharacteristic
84C5×#388C2211yescharacteristic
85C5×#388C2211yescharacteristic
86C5×#388C2211yescharacteristic
87C5×#388C2211yescharacteristic
88C5×#388C2211yescharacteristic
89C5×#388C2211yescharacteristic
90C5×#388C2211yescharacteristic
91C5×#388C2211yescharacteristic
92C5×#388C2211yescharacteristic
93C5×#388C2211yescharacteristic
94C5×#387C2211yescharacteristic
95C5×#387C2211yescharacteristic
96C5×#387C2211yescharacteristic
97C5×#387C2211yescharacteristic
98C5×#387C2211yescharacteristic
99C5×#387C2211yescharacteristic
100C5×#387C2211yescharacteristic
101C5×#387C2211yescharacteristic
102C5×#387C2211yescharacteristic
103C5×#387C2211yescharacteristic
104C5×#387C2211yescharacteristic
105C5×#387C2211yescharacteristic
106C5×#387C2211yescharacteristic
107C5×#387C2211yescharacteristic
108C5×#387C2211yescharacteristic
109C5×#387C2211yescharacteristic
110C5×#387C2211yescharacteristic
111C5×#387C2211yescharacteristic
112C5×#387C2211yescharacteristic
113C5×#387C2211yescharacteristic
114C5×#386C2211yescharacteristic
115C5×#386C2211yescharacteristic
116C5×#386C2211yescharacteristic
117C5×#386C2211yescharacteristic
118C5×#386C2211yescharacteristic
119C5×#386C2211yescharacteristic
120C5×#386C2211yescharacteristic
121C5×#386C2211yescharacteristic
122C5×#386C2211yescharacteristic
123C5×#386C2211yescharacteristic
124C5×#386C2211yescharacteristic
125C5×#386C2211yescharacteristic
126C5×#386C2211yescharacteristic
127C5×#386C2211yescharacteristic
128C5×#386C2211yescharacteristic
129C5×#386C2211yescharacteristic
130C5×#386C2211yescharacteristic
131C5×#386C2211yescharacteristic
132C5×#386C2211yescharacteristic
133C5×#386C2211yescharacteristic
134C5×#386C2211yescharacteristic
135C5×#386C2211yescharacteristic
136C5×#386C2211yescharacteristic
137C5×#386C2211yescharacteristic
138C5×#385C2211yescharacteristic
139C5×#385C2211yescharacteristic
140C5×#385C2211yescharacteristic
141C5×#385C2211yescharacteristic
142C5×#385C2211yescharacteristic
143C5×#385C2211yescharacteristic
144C5×#385C2211yescharacteristic
145C5×#385C2211yescharacteristic
146C5×#385C2211yescharacteristic
147C5×#385C2211yescharacteristic
148C5×#383C2211yescharacteristic
149C5×#382C2211yescharacteristic
150C5×#382C2211yescharacteristic
151C5×#382C2211yescharacteristic
152C5×#381C2211yescharacteristic
153C5×#381C2211yescharacteristic
154C5×#381C2211yescharacteristic
155C5×#380C2211yescharacteristic
156C5×#380C2211yescharacteristic
157C5×#380C2211yescharacteristic
158C5×#380C2211yescharacteristic
159C5×#380C2211yescharacteristic
160C4×C5×C4⋊C4C2211yescharacteristic
161C4×C5×C4⋊C4C2211yescharacteristic
162C4×C5×C4⋊C4C2211yescharacteristic
163C4×C5×C4⋊C4C2211yescharacteristic
164C4×C5×C4⋊C4C2211yescharacteristic
165C4×C5×C4⋊C4C2211yescharacteristic
166C4×C5×C4⋊C4C2211yescharacteristic
167C4×C5×C22⋊C4C2211yescharacteristic
168C4×C5×C22⋊C4C2211yescharacteristic
169C4×C5×C22⋊C4C2211yescharacteristic
170C4×C5×C22⋊C4C2211yescharacteristic
171C4×C5×C22⋊C4C2211yescharacteristic
172C4×C5×C22⋊C4C2211yescharacteristic
173C4×C5×C22⋊C4C2211yescharacteristic
174C4×C5×C22⋊C4C2211yescharacteristic
175C4×C5×C22⋊C4C2211yescharacteristic
176C4×C5×C22⋊C4C2211yescharacteristic
177C4×C5×C22⋊C4C2211yescharacteristic
178C4×C5×C22⋊C4C2211yescharacteristic
179C4×C5×C22⋊C4C2211yescharacteristic
180C4×C5×C22⋊C4C2211yescharacteristic
181C4×C5×C22⋊C4C2211yescharacteristic
182C5×#376C2211yescharacteristic
183C5×#376C2211yescharacteristic
184C5×#376C2211yescharacteristic
185C2×C5×#95C2211yescharacteristic
186C2×C5×#95C2211yescharacteristic
187C2×C5×#95C2211yescharacteristic
188#34450C511yesmaximal, characteristic, direct product factor, Sylow
189C22×C5×D4C2311yescharacteristic
190C22×C5×D4C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C22×C5×D4C2311yescharacteristic
197C22×C5×D4C2311yescharacteristic
198C22×C5×D4C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
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
214C5×#127C2×C418yescomplemented
215C5×#125C2×C418yescomplemented
216C5×#123C2×C418yescomplemented
217C5×#123C2×C418yescomplemented
218C5×#123C2×C418yescomplemented
219C5×#123C2×C418yescomplemented
220C5×#121C2×C418yescomplemented
221C5×#121C2×C418yescomplemented
222C5×#121C2×C418yescomplemented
223C5×#121C2×C418yescomplemented
224C5×#121C2×C418yescomplemented
225C5×#121C2×C418yescomplemented
226C4×C5×D4—42no—
227C4×C5×D4—42no—
228C4×C5×D4—42no—
229C4×C5×D4—42no—
230C4×C5×D4—42no—
231C4×C5×D4—42no—
232C4×C5×D4—42no—
233C4×C5×D4—42no—
234C4×C5×D4C2×C418yescomplemented
235C4×C5×D4C2×C418yescomplemented
236C5×#117—42no—
237C5×#117—42no—
238C5×#117C2×C418yescomplemented
239C2×C5×C4⋊C4—42no—
240C2×C5×C4⋊C4C2311yescharacteristic
241C2×C5×C4⋊C4C2311yescharacteristic
242C2×C5×C4⋊C4C2311yescharacteristic
243C2×C5×C4⋊C4C2311yescharacteristic
244C2×C5×C4⋊C4C2311yescharacteristic
245C2×C5×C4⋊C4C2311yescharacteristic
246C2×C5×C4⋊C4C2311yescharacteristic
247C2×C5×C4⋊C4C2311yescharacteristic
248C2×C5×C4⋊C4C2311yescharacteristic
249C2×C5×C4⋊C4C2311yescharacteristic
250C2×C5×C4⋊C4C2311yescharacteristic
251C2×C5×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
267C2×C5×C22⋊C4C2311yescharacteristic
268C2×C5×C22⋊C4C2311yescharacteristic
269C2×C5×C22⋊C4C2311yescharacteristic
270C2×C5×C22⋊C4C2311yescharacteristic
271C2×C5×C22⋊C4C2311yescharacteristic
272C2×C5×C22⋊C4C2311yescharacteristic
273C2×C5×C22⋊C4C2311yescharacteristic
274C2×C5×C22⋊C4C2311yescharacteristic
275C2×C5×C22⋊C4C2311yescharacteristic
276C2×C5×C22⋊C4C2311yescharacteristic
277C2×C5×C22⋊C4C2311yescharacteristic
278C2×C5×C22⋊C4C2311yescharacteristic
279C2×C5×C22⋊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×C5×C22⋊C4C2311yescharacteristic
293C2×C5×C22⋊C4C2311yescharacteristic
294C2×C5×C22⋊C4C2311yescharacteristic
295C2×C5×C22⋊C4C2311yescharacteristic
296C2×C5×C22⋊C4C2311yescharacteristic
297C2×C5×C22⋊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×C42×C5—42no—
307C2×C42×C5C2311yescharacteristic
308C2×C42×C5C2311yescharacteristic
309C2×C42×C5C2311yescharacteristic
310C2×C42×C5C2311yescharacteristic
311C2×C42×C5C2311yescharacteristic
312C2×C42×C5C2311yescharacteristic
313C2×C42×C5C2311yescharacteristic
314C2×C42×C5C2311yescharacteristic
315C2×C42×C5C2311yescharacteristic
316C2×C42×C5C2311yescharacteristic
317C2×C42×C5C2311yescharacteristic
318C2×C42×C5C2311yescharacteristic
319C2×C42×C5C2311yescharacteristic
320C2×C42×C5C2311yescharacteristic
321C2×C42×C5C2311yescharacteristic
322C2×C42×C5C2311yescharacteristic
323C2×C42×C5C2311yescharacteristic
324C2×C42×C5C2311yescharacteristic
325C2×C42×C5C2311yescharacteristic
326C2×C42×C5C2311yescharacteristic
327C5×#95C2311yescharacteristic
328C5×#95C2311yescharacteristic
329C5×#95C2311yescharacteristic
330C5×#95C2311yescharacteristic
331C5×#95C2311yescharacteristic
332C5×#95C2311yescharacteristic
333C5×#95C2311yescharacteristic
334C5×#95C2311yescharacteristic
335C5×#95C2311yescharacteristic
336C5×#95C2311yescharacteristic
337C5×#95C2311yescharacteristic
338C5×#95C2311yescharacteristic
339C5×#95C2311yescharacteristic
340C5×#95C2311yescharacteristic
341C5×#95C2311yescharacteristic
342C5×#95C2311yescharacteristic
343C5×#95C2311yescharacteristic
344C5×#95C2311yescharacteristic
345C5×#95C2311yescharacteristic
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
371C2×#540C2×C511yescharacteristic
372#2382C2×C511yescharacteristic, complemented
373#2377C2×C511yescharacteristic, complemented
374#2377C2×C511yescharacteristic, complemented
375#2376C2×C511yescharacteristic, complemented
376#2374C2×C511yescharacteristic, complemented
377#2371C2×C511yescharacteristic, complemented
378#2364C2×C511yescharacteristic, complemented
379#2364C2×C511yescharacteristic, complemented
380#2363C2×C511yescharacteristic, complemented
381#2361C2×C511yescharacteristic, complemented
382#2359C2×C511yescharacteristic, complemented
383#2359C2×C511yescharacteristic, complemented
384#2353C2×C511yescharacteristic, complemented
385#2352C2×C511yescharacteristic, complemented
386#2346C2×C511yescharacteristic, complemented
387#2343C2×C511yescharacteristic, complemented
388#2335C2×C511yescharacteristic, complemented
389#2335C2×C511yescharacteristic, complemented
390#2333C2×C511yescharacteristic, complemented
391#2333C2×C511yescharacteristic, complemented
392#2328C2×C511yescharacteristic, complemented
393#2328C2×C511yescharacteristic, complemented
394#2325C2×C511yescharacteristic, complemented
395#2325C2×C511yescharacteristic, complemented
396#2324C2×C511yescharacteristic, complemented
397#2322C2×C511yescharacteristic, complemented
398#2318C2×C511yescharacteristic, complemented
399C4×#123C2×C511yescharacteristic, complemented
400C4×#121C2×C511yescharacteristic, complemented
401#2290C2×C511yescharacteristic, complemented
402C24×C5C2411yescharacteristic
403C24×C5C2411yescharacteristic
404C24×C5C2411yescharacteristic
405C24×C5C2411yescharacteristic
406C24×C5C2411yescharacteristic
407C2×C5×D4—41no—
408C2×C5×D4—41no—
409C2×C5×D4—41no—
410C2×C5×D4—41no—
411C2×C5×D4—41no—
412C2×C5×D4—41no—
413C2×C5×D4—41no—
414C2×C5×D4—41no—
415C2×C5×D4—41no—
416C2×C5×D4—41no—
417C2×C5×D4—41no—
418C2×C5×D4—41no—
419C2×C5×D4—41no—
420C2×C5×D4—41no—
421C2×C5×D4—41no—
422C2×C5×D4—41no—
423C2×C5×D4—41no—
424C2×C5×D4—41no—
425C2×C5×D4—41no—
426C2×C5×D4—41no—
427C2×C5×D4C22×C414yes—
428C2×C5×D4C22×C414yes—
429C2×C5×D4C22×C414yes—
430C2×C5×D4C22×C414yes—
431C2×C5×D4C22×C414yes—
432C2×C5×D4C22×C414yes—
433C2×C5×D4C22×C414yes—
434C2×C5×D4C22×C414yes—
435C2×C5×D4C22×C414yes—
436C2×C5×D4C22×C414yes—
437C22×C4×C5—22no—
438C22×C4×C5—22no—
439C22×C4×C5—22no—
440C22×C4×C5—22no—
441C22×C4×C5—22no—
442C22×C4×C5—41no—
443C22×C4×C5—41no—
444C22×C4×C5—41no—
445C22×C4×C5—41no—
446C22×C4×C5—41no—
447C22×C4×C5—41no—
448C22×C4×C5—41no—
449C22×C4×C5—41no—
450C22×C4×C5—41no—
451C22×C4×C5—41no—
452C22×C4×C5—41no—
453C22×C4×C5—41no—
454C22×C4×C5—41no—
455C22×C4×C5—41no—
456C22×C4×C5—41no—
457C22×C4×C5—41no—
458C22×C4×C5—41no—
459C22×C4×C5—41no—
460C22×C4×C5—41no—
461C22×C4×C5—41no—
462C22×C4×C5—41no—
463C22×C4×C5—41no—
464C22×C4×C5—41no—
465C22×C4×C5—41no—
466C22×C4×C5—41no—
467C22×C4×C5—41no—
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×C5C22×C414yes—
478C22×C4×C5C22×C414yes—
479C22×C4×C5C22×C414yes—
480C22×C4×C5C22×C414yes—
481C22×C4×C5C22×C414yes—
482C22×C4×C5C2411yescharacteristic
483C22×C4×C5C2411yescharacteristic
484C22×C4×C5C2411yescharacteristic
485C22×C4×C5C2411yescharacteristic
486C22×C4×C5C2411yescharacteristic
487C22×C4×C5C2411yescharacteristic
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
508C5×C4⋊C4—22no—
509C5×C4⋊C4—22no—
510C5×C4⋊C4—22no—
511C5×C4⋊C4—41no—
512C5×C4⋊C4—41no—
513C5×C4⋊C4—41no—
514C5×C4⋊C4—41no—
515C5×C4⋊C4—41no—
516C5×C4⋊C4—41no—
517C5×C4⋊C4—41no—
518C5×C4⋊C4—41no—
519C5×C4⋊C4—41no—
520C5×C4⋊C4—41no—
521C5×C4⋊C4—41no—
522C5×C4⋊C4—41no—
523C5×C4⋊C4—41no—
524C5×C4⋊C4—41no—
525C5×C4⋊C4—41no—
526C5×C4⋊C4C22×C414yes—
527C5×C4⋊C4C22×C414yes—
528C5×C4⋊C4C22×C414yes—
529C5×C4⋊C4C22×C414yes—
530C5×C4⋊C4C22×C414yes—
531C5×C4⋊C4C22×C414yes—
532C5×C4⋊C4C22×C414yes—
533C5×C4⋊C4C22×C414yes—
534C5×C22⋊C4—22no—
535C5×C22⋊C4—22no—
536C5×C22⋊C4—22no—
537C5×C22⋊C4—22no—
538C5×C22⋊C4—22no—
539C5×C22⋊C4—41no—
540C5×C22⋊C4—41no—
541C5×C22⋊C4—41no—
542C5×C22⋊C4—41no—
543C5×C22⋊C4—41no—
544C5×C22⋊C4—41no—
545C5×C22⋊C4—41no—
546C5×C22⋊C4—41no—
547C5×C22⋊C4—41no—
548C5×C22⋊C4—41no—
549C5×C22⋊C4—41no—
550C5×C22⋊C4—41no—
551C5×C22⋊C4—41no—
552C5×C22⋊C4—41no—
553C5×C22⋊C4—41no—
554C5×C22⋊C4—41no—
555C5×C22⋊C4—41no—
556C5×C22⋊C4—41no—
557C5×C22⋊C4—41no—
558C5×C22⋊C4—41no—
559C5×C22⋊C4—41no—
560C5×C22⋊C4—41no—
561C5×C22⋊C4—41no—
562C5×C22⋊C4—41no—
563C5×C22⋊C4—41no—
564C5×C22⋊C4C22×C414yes—
565C5×C22⋊C4C22×C414yes—
566C5×C22⋊C4C22×C414yes—
567C5×C22⋊C4C22×C414yes—
568C5×C22⋊C4C22×C414yes—
569C5×C22⋊C4C22×C414yes—
570C5×C22⋊C4C22×C414yes—
571C5×C22⋊C4C22×C414yes—
572C5×C22⋊C4C22×C414yes—
573C5×C22⋊C4C22×C414yes—
574C42×C5—22no—
575C42×C5—22no—
576C42×C5—22no—
577C42×C5—22no—
578C42×C5—22no—
579C42×C5—41no—
580C42×C5—41no—
581C42×C5—41no—
582C42×C5—41no—
583C42×C5—41no—
584C42×C5—41no—
585C42×C5—41no—
586C42×C5—41no—
587C42×C5—41no—
588C42×C5—41no—
589C42×C5—41no—
590C42×C5—41no—
591C42×C5—41no—
592C42×C5C22×C414yes—
593C42×C5C22×C414yes—
594#540C4×C5116yescomplemented
595C2×#127C22×C511yescharacteristic
596C2×#125C22×C511yescharacteristic
597C2×#123C22×C511yescharacteristic
598C2×#123C22×C511yescharacteristic
599C2×#123C22×C511yescharacteristic
600C2×#123C22×C511yescharacteristic
601C2×#121C22×C511yescharacteristic
602C2×#121C22×C511yescharacteristic
603C2×#121C22×C511yescharacteristic
604C2×#121C22×C511yescharacteristic
605C2×#121C22×C511yescharacteristic
606C2×#121C22×C511yescharacteristic
607C2×C4×D4C22×C511yescharacteristic
608C2×C4×D4C22×C511yescharacteristic
609C2×C4×D4C22×C511yescharacteristic
610C2×C4×D4C22×C511yescharacteristic
611C2×C4×D4C22×C511yescharacteristic
612C2×C4×D4C22×C511yescharacteristic
613C2×C4×D4C22×C511yescharacteristic
614C2×C4×D4C22×C511yescharacteristic
615C2×C4×D4C22×C511yescharacteristic
616C2×C4×D4C22×C511yescharacteristic
617C2×#117C22×C511yescharacteristic
618C2×#117C22×C511yescharacteristic
619C2×#117C22×C511yescharacteristic
620C22×C4⋊C4C22×C511yescharacteristic
621C22×C42C22×C511yescharacteristic
622#390C22×C511yescharacteristic
623#390C22×C511yescharacteristic
624#390C22×C511yescharacteristic
625#390C22×C511yescharacteristic
626#390C22×C511yescharacteristic
627#390C22×C511yescharacteristic
628#390C22×C511yescharacteristic
629#390C22×C511yescharacteristic
630#389C22×C511yescharacteristic
631#389C22×C511yescharacteristic
632#389C22×C511yescharacteristic
633#389C22×C511yescharacteristic
634#389C22×C511yescharacteristic
635#389C22×C511yescharacteristic
636#388C22×C511yescharacteristic
637#388C22×C511yescharacteristic
638#388C22×C511yescharacteristic
639#388C22×C511yescharacteristic
640#388C22×C511yescharacteristic
641#388C22×C511yescharacteristic
642#388C22×C511yescharacteristic
643#388C22×C511yescharacteristic
644#388C22×C511yescharacteristic
645#388C22×C511yescharacteristic
646#388C22×C511yescharacteristic
647#388C22×C511yescharacteristic
648#388C22×C511yescharacteristic
649#388C22×C511yescharacteristic
650#388C22×C511yescharacteristic
651#388C22×C511yescharacteristic
652#388C22×C511yescharacteristic
653#388C22×C511yescharacteristic
654#388C22×C511yescharacteristic
655#388C22×C511yescharacteristic
656#387C22×C511yescharacteristic
657#387C22×C511yescharacteristic
658#387C22×C511yescharacteristic
659#387C22×C511yescharacteristic
660#387C22×C511yescharacteristic
661#387C22×C511yescharacteristic
662#387C22×C511yescharacteristic
663#387C22×C511yescharacteristic
664#387C22×C511yescharacteristic
665#387C22×C511yescharacteristic
666#387C22×C511yescharacteristic
667#387C22×C511yescharacteristic
668#387C22×C511yescharacteristic
669#387C22×C511yescharacteristic
670#387C22×C511yescharacteristic
671#387C22×C511yescharacteristic
672#387C22×C511yescharacteristic
673#387C22×C511yescharacteristic
674#387C22×C511yescharacteristic
675#387C22×C511yescharacteristic
676#386C22×C511yescharacteristic
677#386C22×C511yescharacteristic
678#386C22×C511yescharacteristic
679#386C22×C511yescharacteristic
680#386C22×C511yescharacteristic
681#386C22×C511yescharacteristic
682#386C22×C511yescharacteristic
683#386C22×C511yescharacteristic
684#386C22×C511yescharacteristic
685#386C22×C511yescharacteristic
686#386C22×C511yescharacteristic
687#386C22×C511yescharacteristic
688#386C22×C511yescharacteristic
689#386C22×C511yescharacteristic
690#386C22×C511yescharacteristic
691#386C22×C511yescharacteristic
692#386C22×C511yescharacteristic
693#386C22×C511yescharacteristic
694#386C22×C511yescharacteristic
695#386C22×C511yescharacteristic
696#386C22×C511yescharacteristic
697#386C22×C511yescharacteristic
698#386C22×C511yescharacteristic
699#386C22×C511yescharacteristic
700#385C22×C511yescharacteristic
701#385C22×C511yescharacteristic
702#385C22×C511yescharacteristic
703#385C22×C511yescharacteristic
704#385C22×C511yescharacteristic
705#385C22×C511yescharacteristic
706#385C22×C511yescharacteristic
707#385C22×C511yescharacteristic
708#385C22×C511yescharacteristic
709#385C22×C511yescharacteristic
710#383C22×C511yescharacteristic
711#382C22×C511yescharacteristic
712#382C22×C511yescharacteristic
713#382C22×C511yescharacteristic
714#381C22×C511yescharacteristic
715#381C22×C511yescharacteristic
716#381C22×C511yescharacteristic
717#380C22×C511yescharacteristic
718#380C22×C511yescharacteristic
719#380C22×C511yescharacteristic
720#380C22×C511yescharacteristic
721#380C22×C511yescharacteristic
722C4×C4⋊C4C22×C511yescharacteristic
723C4×C4⋊C4C22×C511yescharacteristic
724C4×C4⋊C4C22×C511yescharacteristic
725C4×C4⋊C4C22×C511yescharacteristic
726C4×C4⋊C4C22×C511yescharacteristic
727C4×C4⋊C4C22×C511yescharacteristic
728C4×C4⋊C4C22×C511yescharacteristic
729C4×C22⋊C4C22×C511yescharacteristic
730C4×C22⋊C4C22×C511yescharacteristic
731C4×C22⋊C4C22×C511yescharacteristic
732C4×C22⋊C4C22×C511yescharacteristic
733C4×C22⋊C4C22×C511yescharacteristic
734C4×C22⋊C4C22×C511yescharacteristic
735C4×C22⋊C4C22×C511yescharacteristic
736C4×C22⋊C4C22×C511yescharacteristic
737C4×C22⋊C4C22×C511yescharacteristic
738C4×C22⋊C4C22×C511yescharacteristic
739C4×C22⋊C4C22×C511yescharacteristic
740C4×C22⋊C4C22×C511yescharacteristic
741C4×C22⋊C4C22×C511yescharacteristic
742C4×C22⋊C4C22×C511yescharacteristic
743C4×C22⋊C4C22×C511yescharacteristic
744#376C22×C511yescharacteristic
745#376C22×C511yescharacteristic
746#376C22×C511yescharacteristic
747C2×#95C22×C511yescharacteristic
748C2×#95C22×C511yescharacteristic
749C2×#95C22×C511yescharacteristic
750C23×C5—21no—
751C23×C5—21no—
752C23×C5—21no—
753C23×C5—21no—
754C23×C5—21no—
755C23×C5—21no—
756C23×C5—21no—
757C23×C5—21no—
758C23×C5—21no—
759C23×C5—21no—
760C23×C5—21no—
761C23×C5—21no—
762C23×C5—21no—
763C23×C5—21no—
764C23×C5—21no—
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×C5C23×C412yes—
781C23×C5C23×C412yes—
782C23×C5C23×C412yes—
783C23×C5C23×C412yes—
784C23×C5C23×C412yes—
785C23×C5C2511yescharacteristic
786C5×D4—44no—
787C5×D4—44no—
788C5×D4—44no—
789C5×D4—44no—
790C5×D4—44no—
791C5×D4—44no—
792C5×D4—44no—
793C5×D4—44no—
794C5×D4—44no—
795C5×D4—44no—
796C2×C4×C5—21no—
797C2×C4×C5—21no—
798C2×C4×C5—21no—
799C2×C4×C5—21no—
800C2×C4×C5—21no—
801C2×C4×C5—21no—
802C2×C4×C5—21no—
803C2×C4×C5—21no—
804C2×C4×C5—21no—
805C2×C4×C5—21no—
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—44no—
863C2×C4×C5—44no—
864C2×C4×C5—44no—
865C2×C4×C5—44no—
866C2×C4×C5—44no—
867C2×C4×C5—44no—
868C2×C4×C5—44no—
869C2×C4×C5—82no—
870C2×C4×C5—82no—
871C2×C4×C5—82no—
872C2×C4×C5—82no—
873C2×C4×C5—82no—
874C2×C4×C5—82no—
875C2×C4×C5—82no—
876C2×C4×C5—82no—
877C2×C4×C5C23×C412yes—
878C2×C4×C5C23×C412yes—
879C2×C4×C5C23×C412yes—
880C2×C4×C5C23×C412yes—
881C2×C4×C5C23×C412yes—
882C2×C4×C5C23×C412yes—
883C2×C4×C5C23×C412yes—
884C2×C4×C5C23×C412yes—
885C2×C4×C5C23×C412yes—
886C2×C4×C5C23×C412yes—
887C2×C4×C5H(5,𝔽2)12yes—
888C2×C4×C5H(5,𝔽2)12yes—
889C22×D4C23×C511yescharacteristic
890C22×D4C23×C511yescharacteristic
891C22×D4C23×C511yescharacteristic
892C22×D4C23×C511yescharacteristic
893C22×D4C23×C511yescharacteristic
894C22×D4C23×C511yescharacteristic
895C22×D4C23×C511yescharacteristic
896C22×D4C23×C511yescharacteristic
897C22×D4C23×C511yescharacteristic
898C22×D4C23×C511yescharacteristic
899C23×C4C23×C511yescharacteristic
900C23×C4C23×C511yescharacteristic
901C23×C4C23×C511yescharacteristic
902C23×C4C23×C511yescharacteristic
903C23×C4C23×C511yescharacteristic
904C23×C4C23×C511yescharacteristic
905C23×C4C23×C511yescharacteristic
906C23×C4C23×C511yescharacteristic
907C23×C4C23×C511yescharacteristic
908C23×C4C23×C511yescharacteristic
909C23×C4C23×C511yescharacteristic
910C23×C4C23×C511yescharacteristic
911C23×C4C23×C511yescharacteristic
912C23×C4C23×C511yescharacteristic
913C23×C4C23×C511yescharacteristic
914#127C2×C4×C518yescomplemented
915#125C2×C4×C518yescomplemented
916#123C2×C4×C518yescomplemented
917#123C2×C4×C518yescomplemented
918#123C2×C4×C518yescomplemented
919#123C2×C4×C518yescomplemented
920#121C2×C4×C518yescomplemented
921#121C2×C4×C518yescomplemented
922#121C2×C4×C518yescomplemented
923#121C2×C4×C518yescomplemented
924#121C2×C4×C518yescomplemented
925#121C2×C4×C518yescomplemented
926C4×D4—42no—
927C4×D4—42no—
928C4×D4—42no—
929C4×D4—42no—
930C4×D4—42no—
931C4×D4—42no—
932C4×D4—42no—
933C4×D4—42no—
934C4×D4C2×C4×C518yescomplemented
935C4×D4C2×C4×C518yescomplemented
936#117—42no—
937#117—42no—
938#117C2×C4×C518yescomplemented
939C2×C4⋊C4—42no—
940C2×C4⋊C4C23×C511yescharacteristic
941C2×C4⋊C4C23×C511yescharacteristic
942C2×C4⋊C4C23×C511yescharacteristic
943C2×C4⋊C4C23×C511yescharacteristic
944C2×C4⋊C4C23×C511yescharacteristic
945C2×C4⋊C4C23×C511yescharacteristic
946C2×C4⋊C4C23×C511yescharacteristic
947C2×C4⋊C4C23×C511yescharacteristic
948C2×C4⋊C4C23×C511yescharacteristic
949C2×C4⋊C4C23×C511yescharacteristic
950C2×C4⋊C4C23×C511yescharacteristic
951C2×C4⋊C4C23×C511yescharacteristic
952C2×C4⋊C4C23×C511yescharacteristic
953C2×C4⋊C4C23×C511yescharacteristic
954C2×C4⋊C4C23×C511yescharacteristic
955C2×C4⋊C4C23×C511yescharacteristic
956C2×C4⋊C4C23×C511yescharacteristic
957C2×C4⋊C4C23×C511yescharacteristic
958C2×C4⋊C4C23×C511yescharacteristic
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×C22⋊C4C23×C511yescharacteristic
967C2×C22⋊C4C23×C511yescharacteristic
968C2×C22⋊C4C23×C511yescharacteristic
969C2×C22⋊C4C23×C511yescharacteristic
970C2×C22⋊C4C23×C511yescharacteristic
971C2×C22⋊C4C23×C511yescharacteristic
972C2×C22⋊C4C23×C511yescharacteristic
973C2×C22⋊C4C23×C511yescharacteristic
974C2×C22⋊C4C23×C511yescharacteristic
975C2×C22⋊C4C23×C511yescharacteristic
976C2×C22⋊C4C23×C511yescharacteristic
977C2×C22⋊C4C23×C511yescharacteristic
978C2×C22⋊C4C23×C511yescharacteristic
979C2×C22⋊C4C23×C511yescharacteristic
980C2×C22⋊C4C23×C511yescharacteristic
981C2×C22⋊C4C23×C511yescharacteristic
982C2×C22⋊C4C23×C511yescharacteristic
983C2×C22⋊C4C23×C511yescharacteristic
984C2×C22⋊C4C23×C511yescharacteristic
985C2×C22⋊C4C23×C511yescharacteristic
986C2×C22⋊C4C23×C511yescharacteristic
987C2×C22⋊C4C23×C511yescharacteristic
988C2×C22⋊C4C23×C511yescharacteristic
989C2×C22⋊C4C23×C511yescharacteristic
990C2×C22⋊C4C23×C511yescharacteristic
991C2×C22⋊C4C23×C511yescharacteristic
992C2×C22⋊C4C23×C511yescharacteristic
993C2×C22⋊C4C23×C511yescharacteristic
994C2×C22⋊C4C23×C511yescharacteristic
995C2×C22⋊C4C23×C511yescharacteristic
996C2×C22⋊C4C23×C511yescharacteristic
997C2×C22⋊C4C23×C511yescharacteristic
998C2×C22⋊C4C23×C511yescharacteristic
999C2×C22⋊C4C23×C511yescharacteristic
1000C2×C22⋊C4C23×C511yescharacteristic
1001C2×C22⋊C4C23×C511yescharacteristic
1002C2×C22⋊C4C23×C511yescharacteristic
1003C2×C22⋊C4C23×C511yescharacteristic
1004C2×C22⋊C4C23×C511yescharacteristic
1005C2×C22⋊C4C23×C511yescharacteristic
1006C2×C42—42no—
1007C2×C42C23×C511yescharacteristic
1008C2×C42C23×C511yescharacteristic
1009C2×C42C23×C511yescharacteristic
1010C2×C42C23×C511yescharacteristic
1011C2×C42C23×C511yescharacteristic
1012C2×C42C23×C511yescharacteristic
1013C2×C42C23×C511yescharacteristic
1014C2×C42C23×C511yescharacteristic
1015C2×C42C23×C511yescharacteristic
1016C2×C42C23×C511yescharacteristic
1017C2×C42C23×C511yescharacteristic
1018C2×C42C23×C511yescharacteristic
1019C2×C42C23×C511yescharacteristic
1020C2×C42C23×C511yescharacteristic
1021C2×C42C23×C511yescharacteristic
1022C2×C42C23×C511yescharacteristic
1023C2×C42C23×C511yescharacteristic
1024C2×C42C23×C511yescharacteristic
1025C2×C42C23×C511yescharacteristic
1026C2×C42C23×C511yescharacteristic
1027#95C23×C511yescharacteristic
1028#95C23×C511yescharacteristic
1029#95C23×C511yescharacteristic
1030#95C23×C511yescharacteristic
1031#95C23×C511yescharacteristic
1032#95C23×C511yescharacteristic
1033#95C23×C511yescharacteristic
1034#95C23×C511yescharacteristic
1035#95C23×C511yescharacteristic
1036#95C23×C511yescharacteristic
1037#95C23×C511yescharacteristic
1038#95C23×C511yescharacteristic
1039#95C23×C511yescharacteristic
1040#95C23×C511yescharacteristic
1041#95C23×C511yescharacteristic
1042#95C23×C511yescharacteristic
1043#95C23×C511yescharacteristic
1044#95C23×C511yescharacteristic
1045#95C23×C511yescharacteristic
1046#95C23×C511yescharacteristic
1047#95C23×C511yescharacteristic
1048#95C23×C511yescharacteristic
1049#95C23×C511yescharacteristic
1050#95C23×C511yescharacteristic
1051#95C23×C511yescharacteristic
1052#95C23×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
1071C22×C5—22no—
1072C22×C5—22no—
1073C22×C5—22no—
1074C22×C5—22no—
1075C22×C5—22no—
1076C22×C5—22no—
1077C22×C5—22no—
1078C22×C5—22no—
1079C22×C5—22no—
1080C22×C5—22no—
1081C22×C5—22no—
1082C22×C5—22no—
1083C22×C5—22no—
1084C22×C5—22no—
1085C22×C5—22no—
1086C22×C5—41no—
1087C22×C5—41no—
1088C22×C5—41no—
1089C22×C5—41no—
1090C22×C5—41no—
1091C22×C5—41no—
1092C22×C5—41no—
1093C22×C5—41no—
1094C22×C5—41no—
1095C22×C5—41no—
1096C22×C5—41no—
1097C22×C5—41no—
1098C22×C5—41no—
1099C22×C5—41no—
1100C22×C5—41no—
1101C22×C5—41no—
1102C22×C5—41no—
1103C22×C5—41no—
1104C22×C5—41no—
1105C22×C5—41no—
1106C22×C5C24×C411yescharacteristic
1107C22×C5C2×H(5,𝔽2)11yescharacteristic
1108C22×C5C2×H(5,𝔽2)11yescharacteristic
1109C22×C5#58511yescharacteristic
1110C22×C5#58511yescharacteristic
1111C22×C5#58511yescharacteristic
1112C22×C5#58511yescharacteristic
1113C4×C5—22no—
1114C4×C5—22no—
1115C4×C5—22no—
1116C4×C5—22no—
1117C4×C5—22no—
1118C4×C5—22no—
1119C4×C5—22no—
1120C4×C5—22no—
1121C4×C5—22no—
1122C4×C5—22no—
1123C4×C5—22no—
1124C4×C5—22no—
1125C4×C5—41no—
1126C4×C5—41no—
1127C4×C5—41no—
1128C4×C5—41no—
1129C4×C5—41no—
1130C4×C5—41no—
1131C4×C5—41no—
1132C4×C5—41no—
1133C4×C5—41no—
1134C4×C5—41no—
1135C4×C5—41no—
1136C4×C5—41no—
1137C4×C5—41no—
1138C4×C5—41no—
1139C24C24×C511yescharacteristic
1140C24C24×C511yescharacteristic
1141C24C24×C511yescharacteristic
1142C24C24×C511yescharacteristic
1143C24C24×C511yescharacteristic
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4C22×C4×C514yes—
1165C2×D4C22×C4×C514yes—
1166C2×D4C22×C4×C514yes—
1167C2×D4C22×C4×C514yes—
1168C2×D4C22×C4×C514yes—
1169C2×D4C22×C4×C514yes—
1170C2×D4C22×C4×C514yes—
1171C2×D4C22×C4×C514yes—
1172C2×D4C22×C4×C514yes—
1173C2×D4C22×C4×C514yes—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
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×C4C22×C4×C514yes—
1215C22×C4C22×C4×C514yes—
1216C22×C4C22×C4×C514yes—
1217C22×C4C22×C4×C514yes—
1218C22×C4C22×C4×C514yes—
1219C22×C4C24×C511yescharacteristic
1220C22×C4C24×C511yescharacteristic
1221C22×C4C24×C511yescharacteristic
1222C22×C4C24×C511yescharacteristic
1223C22×C4C24×C511yescharacteristic
1224C22×C4C24×C511yescharacteristic
1225C22×C4C24×C511yescharacteristic
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
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4C22×C4×C514yes—
1264C4⋊C4C22×C4×C514yes—
1265C4⋊C4C22×C4×C514yes—
1266C4⋊C4C22×C4×C514yes—
1267C4⋊C4C22×C4×C514yes—
1268C4⋊C4C22×C4×C514yes—
1269C4⋊C4C22×C4×C514yes—
1270C4⋊C4C22×C4×C514yes—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4C22×C4×C514yes—
1302C22⋊C4C22×C4×C514yes—
1303C22⋊C4C22×C4×C514yes—
1304C22⋊C4C22×C4×C514yes—
1305C22⋊C4C22×C4×C514yes—
1306C22⋊C4C22×C4×C514yes—
1307C22⋊C4C22×C4×C514yes—
1308C22⋊C4C22×C4×C514yes—
1309C22⋊C4C22×C4×C514yes—
1310C22⋊C4C22×C4×C514yes—
1311C42—22no—
1312C42—22no—
1313C42—22no—
1314C42—22no—
1315C42—22no—
1316C42—41no—
1317C42—41no—
1318C42—41no—
1319C42—41no—
1320C42—41no—
1321C42—41no—
1322C42—41no—
1323C42—41no—
1324C42—41no—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42—41no—
1329C42C22×C4×C514yes—
1330C42C22×C4×C514yes—
1331C2×C5—42no—
1332C2×C5—42no—
1333C2×C5—42no—
1334C2×C5—42no—
1335C2×C5—42no—
1336C2×C5#342811yescharacteristic
1337C2×C5C4×H(5,𝔽2)11yescharacteristic
1338C2×C5C4×H(5,𝔽2)11yescharacteristic
1339C2×C5#353311yescharacteristic
1340C2×C5#354211yescharacteristic
1341C2×C5#355111yescharacteristic
1342C2×C5#356711yescharacteristic
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
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—
1373C23C23×C4×C512yes—
1374C23C23×C4×C512yes—
1375C23C23×C4×C512yes—
1376C23C23×C4×C512yes—
1377C23C23×C4×C512yes—
1378C23C25×C511yescharacteristic
1379D4—44no—
1380D4—44no—
1381D4—44no—
1382D4—44no—
1383D4—44no—
1384D4—44no—
1385D4—44no—
1386D4—44no—
1387D4—44no—
1388D4—44no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
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—44no—
1456C2×C4—44no—
1457C2×C4—44no—
1458C2×C4—44no—
1459C2×C4—44no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—82no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4—82no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4C23×C4×C512yes—
1471C2×C4C23×C4×C512yes—
1472C2×C4C23×C4×C512yes—
1473C2×C4C23×C4×C512yes—
1474C2×C4C23×C4×C512yes—
1475C2×C4C23×C4×C512yes—
1476C2×C4C23×C4×C512yes—
1477C2×C4C23×C4×C512yes—
1478C2×C4C23×C4×C512yes—
1479C2×C4C23×C4×C512yes—
1480C2×C4C5×H(5,𝔽2)12yes—
1481C2×C4C5×H(5,𝔽2)12yes—
1482C5#3445011yescharacteristic, direct product factor, Sylow
1483C22—22no—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
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—
1517C22—41no—
1518C22C24×C4×C511yescharacteristic
1519C22C2×C5×H(5,𝔽2)11yescharacteristic
1520C22C2×C5×H(5,𝔽2)11yescharacteristic
1521C22C5×#58511yescharacteristic
1522C22C5×#58511yescharacteristic
1523C22C5×#58511yescharacteristic
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—22no—
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—
1551C2—42no—
1552C2—42no—
1553C2—42no—
1554C2—42no—
1555C2—42no—
1556C2C5×#342811yescharacteristic
1557C2C4×C5×H(5,𝔽2)11yescharacteristic
1558C2C4×C5×H(5,𝔽2)11yescharacteristic
1559C2C5×#353311yescharacteristic
1560C2C5×#354211yescharacteristic
1561C2C5×#355111yescharacteristic
1562C2C5×#356711yescharacteristic
subgroupG/H
center, socleC23×C5C25
commutatorC22C24×C4×C5
Frattini, cosocleC23C25×C5
prime radicalC2×C5×#540C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C5 ◁ G

Complements

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

NH ≅ G/Ntype
2. C5×#2382C2semidirect
3. C5×#2377C2semidirect
4. C5×#2377C2semidirect
5. C5×#2376C2semidirect
6. C5×#2374C2semidirect
7. C5×#2371C2semidirect
8. C5×#2364C2semidirect
9. C5×#2364C2semidirect
10. C5×#2363C2semidirect
11. C5×#2361C2semidirect
12. C5×#2359C2semidirect
13. C5×#2359C2semidirect
14. C5×#2353C2semidirect
15. C5×#2352C2semidirect
16. C5×#2346C2semidirect
17. C5×#2343C2semidirect
18. C5×#2335C2semidirect
19. C5×#2335C2semidirect
20. C5×#2333C2semidirect
21. C5×#2333C2semidirect
22. C5×#2328C2semidirect
23. C5×#2328C2semidirect
24. C5×#2325C2semidirect
25. C5×#2325C2semidirect
26. C5×#2324C2semidirect
27. C5×#2322C2semidirect
28. C5×#2318C2semidirect
29. C4×C5×#123C2semidirect
30. C4×C5×#121C2semidirect
31. C5×#2290C2semidirect
32. C5×#540C4semidirect
188. #34450C5direct (N × H)
214. C5×#127C2×C4semidirect
215. C5×#125C2×C4semidirect
216. C5×#123C2×C4semidirect
217. C5×#123C2×C4semidirect
218. C5×#123C2×C4semidirect
219. C5×#123C2×C4semidirect
220. C5×#121C2×C4semidirect
221. C5×#121C2×C4semidirect
222. C5×#121C2×C4semidirect
223. C5×#121C2×C4semidirect
224. C5×#121C2×C4semidirect
225. C5×#121C2×C4semidirect
234. C4×C5×D4C2×C4semidirect
235. C4×C5×D4C2×C4semidirect
238. C5×#117C2×C4semidirect
372. #2382C2×C5semidirect
373. #2377C2×C5semidirect
374. #2377C2×C5semidirect
375. #2376C2×C5semidirect
376. #2374C2×C5semidirect
377. #2371C2×C5semidirect
378. #2364C2×C5semidirect
379. #2364C2×C5semidirect
380. #2363C2×C5semidirect
381. #2361C2×C5semidirect
382. #2359C2×C5semidirect
383. #2359C2×C5semidirect
384. #2353C2×C5semidirect
385. #2352C2×C5semidirect
386. #2346C2×C5semidirect
387. #2343C2×C5semidirect
388. #2335C2×C5semidirect
389. #2335C2×C5semidirect
390. #2333C2×C5semidirect
391. #2333C2×C5semidirect
392. #2328C2×C5semidirect
393. #2328C2×C5semidirect
394. #2325C2×C5semidirect
395. #2325C2×C5semidirect
396. #2324C2×C5semidirect
397. #2322C2×C5semidirect
398. #2318C2×C5semidirect
399. C4×#123C2×C5semidirect
400. C4×#121C2×C5semidirect
401. #2290C2×C5semidirect
594. #540C4×C5semidirect
914. #127C2×C4×C5semidirect
915. #125C2×C4×C5semidirect
916. #123C2×C4×C5semidirect
917. #123C2×C4×C5semidirect
918. #123C2×C4×C5semidirect
919. #123C2×C4×C5semidirect
920. #121C2×C4×C5semidirect
921. #121C2×C4×C5semidirect
922. #121C2×C4×C5semidirect
923. #121C2×C4×C5semidirect
924. #121C2×C4×C5semidirect
925. #121C2×C4×C5semidirect
934. C4×D4C2×C4×C5semidirect
935. C4×D4C2×C4×C5semidirect
938. #117C2×C4×C5semidirect
1482. C5#34450direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5402
C5×#23822
C5×#23772
C5×#23762
C5×#23742
C5×#23712
C5×#23642
C5×#23632
C5×#23612
C5×#23592
C5×#23532
C5×#23522
C5×#23462
C5×#23432
C5×#23352
C5×#23332
C5×#23282
C5×#23252
C5×#23242
C5×#23222
C5×#23182
C4×C5×#1232
C4×C5×#1212
C5×#22902
#344505