Finite Group Databasebeta

← C5×#35060 #11957780

Subgroups — C5×#35060 #11957780

Order 1280.

1894 conjugacy classes of subgroups.

The subgroup lattice has 1478 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2852C211yesmaximal, characteristic, complemented
2C5×#2852C211yesmaximal, characteristic, complemented
3C5×#2850C211yesmaximal, characteristic, complemented
4C5×#2850C211yesmaximal, characteristic, complemented
5C5×#2666C211yesmaximal, characteristic, complemented
6C5×#2662C211yesmaximal, characteristic, complemented
7C5×#2654C211yesmaximal, characteristic, complemented
8C5×#2651C211yesmaximal, characteristic, complemented
9C5×#2591C211yesmaximal, characteristic, complemented
10C5×#2579C211yesmaximal, characteristic, complemented
11C5×#2549C211yesmaximal, characteristic, complemented
12C5×#2543C211yesmaximal, characteristic
13C5×#2532C211yesmaximal, characteristic, complemented
14C5×#2529C211yesmaximal, characteristic, complemented
15C5×#2525C211yesmaximal, characteristic, complemented
16C5×#2520C211yesmaximal, characteristic, complemented
17C5×#2479C211yesmaximal, characteristic, complemented
18C5×#2474C211yesmaximal, characteristic, complemented
19C5×#2468C211yesmaximal, characteristic, complemented
20C5×#2461C211yesmaximal, characteristic, complemented
21C5×#2450C211yesmaximal, characteristic, complemented
22C5×#2449C211yesmaximal, characteristic, complemented
23C5×#2444C211yesmaximal, characteristic, complemented
24C5×#2443C211yesmaximal, characteristic, complemented
25C5×#2337C211yesmaximal, characteristic, complemented
26C5×#2335C211yesmaximal, characteristic, complemented
27C5×#2334C211yesmaximal, characteristic, complemented
28C5×#2332C211yesmaximal, characteristic, complemented
29C4×C5×#121C211yesmaximal, characteristic, complemented
30C5×#2290C211yesmaximal, characteristic, complemented
31C2×C4×C5×C4⋊C4C211yesmaximal, characteristic, complemented
32C2×C5×#126C2211yescharacteristic
33C2×C5×#126C2211yescharacteristic
34C2×C5×#124C2211yescharacteristic
35C2×C5×#124C2211yescharacteristic
36C2×C5×#123C2211yescharacteristic
37C2×C5×C22⋊Q8C2211yescharacteristic
38C2×C5×C22⋊Q8C2211yescharacteristic
39C2×C5×C22⋊Q8C2211yescharacteristic
40C2×C5×#121C2211yescharacteristic
41C2×C5×#121C2211yescharacteristic
42C2×C5×#121C2211yescharacteristic
43C2×C4×C5×D4C2211yescharacteristic
44C2×C4×C5×D4C2211yescharacteristic
45C2×C4×C5×D4C2211yescharacteristic
46C2×C4×C5×D4C2211yescharacteristic
47C2×C5×#117C2211yescharacteristic
48C22×C5×C4⋊C4C2211yescharacteristic
49C22×C5×C4⋊C4C2211yescharacteristic
50C22×C42×C5C2211yescharacteristic
51C22×C42×C5C2211yescharacteristic
52C22×C42×C5C2211yescharacteristic
53C5×#400C2211yescharacteristic
54C5×#400C2211yescharacteristic
55C5×#400C2211yescharacteristic
56C5×#400C2211yescharacteristic
57C5×#399C2211yescharacteristic
58C5×#399C2211yescharacteristic
59C5×#398C2211yescharacteristic
60C5×#398C2211yescharacteristic
61C5×#398C2211yescharacteristic
62C5×#398C2211yescharacteristic
63C5×#398C2211yescharacteristic
64C5×#398C2211yescharacteristic
65C5×#398C2211yescharacteristic
66C5×#398C2211yescharacteristic
67C5×#397C2211yescharacteristic
68C5×#397C2211yescharacteristic
69C5×#397C2211yescharacteristic
70C5×#397C2211yescharacteristic
71C5×#396C2211yescharacteristic
72C5×#396C2211yescharacteristic
73C5×#396C2211yescharacteristic
74C5×#396C2211yescharacteristic
75C5×#395C2211yescharacteristic
76C5×#395C2211yescharacteristic
77C5×#395C2211yescharacteristic
78C5×#394C2211yescharacteristic
79C5×#394C2211yescharacteristic
80C5×#394C2211yescharacteristic
81C5×#394C2211yescharacteristic
82C5×#394C2211yescharacteristic
83C5×#393C2211yescharacteristic
84C5×#392C2211yescharacteristic
85C5×#391C2211yescharacteristic
86C5×#391C2211yescharacteristic
87C5×#391C2211yescharacteristic
88C5×#391C2211yescharacteristic
89C5×#391C2211yescharacteristic
90C5×#390C2211yescharacteristic
91C5×#390C2211yescharacteristic
92C5×#390C2211yescharacteristic
93C5×#389C2211yescharacteristic
94C5×#389C2211yescharacteristic
95C5×#389C2211yescharacteristic
96C5×#389C2211yescharacteristic
97C5×#388C2211yescharacteristic
98C5×#388C2211yescharacteristic
99C5×#388C2211yescharacteristic
100C5×#388C2211yescharacteristic
101C5×#388C2211yescharacteristic
102C5×#388C2211yescharacteristic
103C5×#388C2211yescharacteristic
104C5×#388C2211yescharacteristic
105C5×#388C2211yescharacteristic
106C5×#388C2211yescharacteristic
107C5×#388C2211yescharacteristic
108C5×#388C2211yescharacteristic
109C5×#388C2211yescharacteristic
110C5×#388C2211yescharacteristic
111C5×#388C2211yescharacteristic
112C5×#388C2211yescharacteristic
113C5×#388C2211yescharacteristic
114C5×#388C2211yescharacteristic
115C5×#388C2211yescharacteristic
116C5×#388C2211yescharacteristic
117C5×#388C2211yescharacteristic
118C5×#388C2211yescharacteristic
119C5×#388C2211yescharacteristic
120C5×#388C2211yescharacteristic
121C5×#388C2211yescharacteristic
122C5×#388C2211yescharacteristic
123C5×#387C2211yescharacteristic
124C5×#387C2211yescharacteristic
125C5×#387C2211yescharacteristic
126C5×#387C2211yescharacteristic
127C5×#387C2211yescharacteristic
128C5×#387C2211yescharacteristic
129C5×#387C2211yescharacteristic
130C5×#387C2211yescharacteristic
131C5×#387C2211yescharacteristic
132C5×#387C2211yescharacteristic
133C5×#387C2211yescharacteristic
134C5×#387C2211yescharacteristic
135C5×#387C2211yescharacteristic
136C5×#387C2211yescharacteristic
137C5×#386C2211yescharacteristic
138C5×#386C2211yescharacteristic
139C5×#386C2211yescharacteristic
140C5×#386C2211yescharacteristic
141C5×#386C2211yescharacteristic
142C5×#386C2211yescharacteristic
143C5×#386C2211yescharacteristic
144C5×#386C2211yescharacteristic
145C5×#386C2211yescharacteristic
146C5×#386C2211yescharacteristic
147C5×#386C2211yescharacteristic
148C5×#386C2211yescharacteristic
149C5×#386C2211yescharacteristic
150C5×#386C2211yescharacteristic
151C5×#386C2211yescharacteristic
152C5×#385C2211yescharacteristic
153C5×#385C2211yescharacteristic
154C5×#385C2211yescharacteristic
155C5×#385C2211yescharacteristic
156C5×#385C2211yescharacteristic
157C5×#385C2211yescharacteristic
158C5×#385C2211yescharacteristic
159C5×#385C2211yescharacteristic
160C5×#385C2211yescharacteristic
161C5×#385C2211yescharacteristic
162C5×#385C2211yescharacteristic
163C5×#383C2211yescharacteristic
164C5×#383C2211yescharacteristic
165C5×#382C2211yescharacteristic
166C5×#382C2211yescharacteristic
167C5×#381C2211yescharacteristic
168C5×#380C2211yescharacteristic
169C5×#380C2211yescharacteristic
170C4×C5×C4⋊C4C2211yescharacteristic
171C4×C5×C4⋊C4C2211yescharacteristic
172C4×C5×C4⋊C4C2211yescharacteristic
173C4×C5×C4⋊C4C2211yescharacteristic
174C4×C5×C4⋊C4C2211yescharacteristic
175C4×C5×C4⋊C4C2211yescharacteristic
176C4×C5×C4⋊C4C2211yescharacteristic
177C4×C5×C4⋊C4C2211yescharacteristic
178C4×C5×C4⋊C4C2211yescharacteristic
179C4×C5×C4⋊C4C2211yescharacteristic
180C4×C5×C22⋊C4C2211yescharacteristic
181C4×C5×C22⋊C4C2211yescharacteristic
182C4×C5×C22⋊C4C2211yescharacteristic
183C4×C5×C22⋊C4C2211yescharacteristic
184C5×#376C2211yescharacteristic
185C2×C5×#95C2211yescharacteristic
186C2×C5×#95C2211yescharacteristic
187#35060C511yesmaximal, characteristic, direct product factor, Sylow
188C22×C5×Q8C2311yescharacteristic
189C22×C5×Q8C2311yescharacteristic
190C22×C5×D4C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C23×C4×C5C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
201C23×C4×C5C2311yescharacteristic
202C23×C4×C5C2311yescharacteristic
203C23×C4×C5C2311yescharacteristic
204C23×C4×C5C2311yescharacteristic
205C23×C4×C5C2311yescharacteristic
206C5×#126—24no—
207C5×#126—42no—
208C5×#124—24no—
209C5×#124—42no—
210C5×#123—24no—
211C5×C22⋊Q8—24no—
212C5×C22⋊Q8—42no—
213C5×C22⋊Q8—42no—
214C5×#121—24no—
215C5×#121—42no—
216C5×#121—42no—
217C4×C5×D4—24no—
218C4×C5×D4—42no—
219C4×C5×D4—42no—
220C4×C5×D4—42no—
221C5×#117—42no—
222C2×C5×C4⋊C4—24no—
223C2×C5×C4⋊C4—24no—
224C2×C5×C4⋊C4C2311yescharacteristic
225C2×C5×C4⋊C4C2311yescharacteristic
226C2×C5×C4⋊C4C2311yescharacteristic
227C2×C5×C4⋊C4C2311yescharacteristic
228C2×C5×C4⋊C4C2311yescharacteristic
229C2×C5×C4⋊C4C2311yescharacteristic
230C2×C5×C4⋊C4C2311yescharacteristic
231C2×C5×C4⋊C4C2311yescharacteristic
232C2×C5×C4⋊C4C2311yescharacteristic
233C2×C5×C4⋊C4C2311yescharacteristic
234C2×C5×C4⋊C4C2311yescharacteristic
235C2×C5×C4⋊C4C2311yescharacteristic
236C2×C5×C4⋊C4C2311yescharacteristic
237C2×C5×C4⋊C4C2311yescharacteristic
238C2×C5×C4⋊C4C2311yescharacteristic
239C2×C5×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
259C2×C5×C22⋊C4C2311yescharacteristic
260C2×C5×C22⋊C4C2311yescharacteristic
261C2×C5×C22⋊C4C2311yescharacteristic
262C2×C5×C22⋊C4C2311yescharacteristic
263C2×C5×C22⋊C4C2311yescharacteristic
264C2×C5×C22⋊C4C2311yescharacteristic
265C2×C5×C22⋊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×C42×C5—24no—
297C2×C42×C5—42no—
298C2×C42×C5—42no—
299C2×C42×C5C2311yescharacteristic
300C2×C42×C5C2311yescharacteristic
301C2×C42×C5C2311yescharacteristic
302C2×C42×C5C2311yescharacteristic
303C2×C42×C5C2311yescharacteristic
304C2×C42×C5C2311yescharacteristic
305C2×C42×C5C2311yescharacteristic
306C2×C42×C5C2311yescharacteristic
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
316C5×#95C2311yescharacteristic
317C5×#95C2311yescharacteristic
318C5×#95C2311yescharacteristic
319C5×#95C2311yescharacteristic
320C5×#95C2311yescharacteristic
321C5×#95C2311yescharacteristic
322C5×#95C2311yescharacteristic
323C5×#95C2311yescharacteristic
324C5×#95C2311yescharacteristic
325C5×#95C2311yescharacteristic
326C5×#95C2311yescharacteristic
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
364#2852C2×C511yescharacteristic, complemented
365#2852C2×C511yescharacteristic, complemented
366#2850C2×C511yescharacteristic, complemented
367#2850C2×C511yescharacteristic, complemented
368#2666C2×C511yescharacteristic, complemented
369#2662C2×C511yescharacteristic, complemented
370#2654C2×C511yescharacteristic, complemented
371#2651C2×C511yescharacteristic, complemented
372#2591C2×C511yescharacteristic, complemented
373#2579C2×C511yescharacteristic, complemented
374#2549C2×C511yescharacteristic, complemented
375#2543C2×C511yescharacteristic
376#2532C2×C511yescharacteristic, complemented
377#2529C2×C511yescharacteristic, complemented
378#2525C2×C511yescharacteristic, complemented
379#2520C2×C511yescharacteristic, complemented
380#2479C2×C511yescharacteristic, complemented
381#2474C2×C511yescharacteristic, complemented
382#2468C2×C511yescharacteristic, complemented
383#2461C2×C511yescharacteristic, complemented
384#2450C2×C511yescharacteristic, complemented
385#2449C2×C511yescharacteristic, complemented
386#2444C2×C511yescharacteristic, complemented
387#2443C2×C511yescharacteristic, complemented
388#2337C2×C511yescharacteristic, complemented
389#2335C2×C511yescharacteristic, complemented
390#2334C2×C511yescharacteristic, complemented
391#2332C2×C511yescharacteristic, complemented
392C4×#121C2×C511yescharacteristic, complemented
393#2290C2×C511yescharacteristic, complemented
394C2×C4×C4⋊C4C2×C511yescharacteristic, complemented
395C24×C5C2411yescharacteristic
396C24×C5C2411yescharacteristic
397C24×C5C2411yescharacteristic
398C24×C5C2411yescharacteristic
399C2×C5×Q8—22no—
400C2×C5×Q8—22no—
401C2×C5×Q8—41no—
402C2×C5×Q8—41no—
403C2×C5×Q8—41no—
404C2×C5×Q8—41no—
405C2×C5×D4—22no—
406C2×C5×D4—22no—
407C2×C5×D4—22no—
408C2×C5×D4—22no—
409C2×C5×D4—22no—
410C2×C5×D4—22no—
411C2×C5×D4—22no—
412C2×C5×D4—22no—
413C2×C5×D4—22no—
414C2×C5×D4—22no—
415C2×C5×D4—22no—
416C2×C5×D4—22no—
417C2×C5×D4—41no—
418C2×C5×D4—41no—
419C2×C5×D4—41no—
420C2×C5×D4—41no—
421C2×C5×D4—41no—
422C2×C5×D4—41no—
423C22×C4×C5—22no—
424C22×C4×C5—22no—
425C22×C4×C5—22no—
426C22×C4×C5—22no—
427C22×C4×C5—22no—
428C22×C4×C5—22no—
429C22×C4×C5—22no—
430C22×C4×C5—22no—
431C22×C4×C5—22no—
432C22×C4×C5—22no—
433C22×C4×C5—22no—
434C22×C4×C5—22no—
435C22×C4×C5—22no—
436C22×C4×C5—22no—
437C22×C4×C5—22no—
438C22×C4×C5—22no—
439C22×C4×C5—41no—
440C22×C4×C5—41no—
441C22×C4×C5—41no—
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#4114yes—
453C22×C4×C5C2411yescharacteristic
454C22×C4×C5C2411yescharacteristic
455C22×C4×C5C2411yescharacteristic
456C22×C4×C5C2411yescharacteristic
457C22×C4×C5C2411yescharacteristic
458C22×C4×C5C2411yescharacteristic
459C22×C4×C5C2411yescharacteristic
460C22×C4×C5C2411yescharacteristic
461C22×C4×C5C2411yescharacteristic
462C22×C4×C5C2411yescharacteristic
463C22×C4×C5C2411yescharacteristic
464C22×C4×C5C2411yescharacteristic
465C22×C4×C5C2411yescharacteristic
466C22×C4×C5C2411yescharacteristic
467C22×C4×C5C2411yescharacteristic
468C22×C4×C5C2411yescharacteristic
469C22×C4×C5C2411yescharacteristic
470C22×C4×C5C2411yescharacteristic
471C22×C4×C5C2411yescharacteristic
472C22×C4×C5C2411yescharacteristic
473C22×C4×C5C2411yescharacteristic
474C22×C4×C5C2411yescharacteristic
475C22×C4×C5C2411yescharacteristic
476C22×C4×C5C2411yescharacteristic
477C22×C4×C5C2411yescharacteristic
478C22×C4×C5C2411yescharacteristic
479C22×C4×C5C2411yescharacteristic
480C5×C4⋊C4—22no—
481C5×C4⋊C4—22no—
482C5×C4⋊C4—22no—
483C5×C4⋊C4—22no—
484C5×C4⋊C4—22no—
485C5×C4⋊C4—22no—
486C5×C4⋊C4—22no—
487C5×C4⋊C4—22no—
488C5×C4⋊C4—22no—
489C5×C4⋊C4—22no—
490C5×C4⋊C4—22no—
491C5×C4⋊C4—22no—
492C5×C4⋊C4—22no—
493C5×C4⋊C4—22no—
494C5×C4⋊C4—22no—
495C5×C4⋊C4—22no—
496C5×C4⋊C4—41no—
497C5×C4⋊C4—41no—
498C5×C4⋊C4—41no—
499C5×C4⋊C4—41no—
500C5×C4⋊C4—41no—
501C5×C4⋊C4—41no—
502C5×C4⋊C4—41no—
503C5×C4⋊C4—41no—
504C5×C4⋊C4—41no—
505C5×C4⋊C4—41no—
506C5×C4⋊C4—41no—
507C5×C4⋊C4—41no—
508C5×C4⋊C4—41no—
509C5×C4⋊C4—41no—
510C5×C4⋊C4—41no—
511C5×C4⋊C4—41no—
512C5×C4⋊C4—41no—
513C5×C4⋊C4#4114yes—
514C5×C22⋊C4—22no—
515C5×C22⋊C4—22no—
516C5×C22⋊C4—22no—
517C5×C22⋊C4—22no—
518C5×C22⋊C4—22no—
519C5×C22⋊C4—22no—
520C5×C22⋊C4—22no—
521C5×C22⋊C4—22no—
522C5×C22⋊C4—22no—
523C5×C22⋊C4—22no—
524C5×C22⋊C4—22no—
525C5×C22⋊C4—22no—
526C5×C22⋊C4—22no—
527C5×C22⋊C4—22no—
528C5×C22⋊C4—22no—
529C5×C22⋊C4—22no—
530C5×C22⋊C4—22no—
531C5×C22⋊C4—22no—
532C5×C22⋊C4—22no—
533C5×C22⋊C4—22no—
534C5×C22⋊C4—22no—
535C5×C22⋊C4—22no—
536C5×C22⋊C4—22no—
537C5×C22⋊C4—41no—
538C5×C22⋊C4—41no—
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—
552C42×C5—22no—
553C42×C5—22no—
554C42×C5—22no—
555C42×C5—22no—
556C42×C5—22no—
557C42×C5—22no—
558C42×C5—22no—
559C42×C5—22no—
560C42×C5—41no—
561C42×C5—41no—
562C42×C5—41no—
563C42×C5—41no—
564C42×C5—41no—
565C42×C5—41no—
566C42×C5—41no—
567C42×C5—41no—
568C42×C5#4114yes—
569C2×#126C22×C511yescharacteristic
570C2×#126C22×C511yescharacteristic
571C2×#124C22×C511yescharacteristic
572C2×#124C22×C511yescharacteristic
573C2×#123C22×C511yescharacteristic
574C2×C22⋊Q8C22×C511yescharacteristic
575C2×C22⋊Q8C22×C511yescharacteristic
576C2×C22⋊Q8C22×C511yescharacteristic
577C2×#121C22×C511yescharacteristic
578C2×#121C22×C511yescharacteristic
579C2×#121C22×C511yescharacteristic
580C2×C4×D4C22×C511yescharacteristic
581C2×C4×D4C22×C511yescharacteristic
582C2×C4×D4C22×C511yescharacteristic
583C2×C4×D4C22×C511yescharacteristic
584C2×#117C22×C511yescharacteristic
585C22×C4⋊C4C22×C511yescharacteristic
586C22×C4⋊C4C22×C511yescharacteristic
587C22×C42C22×C511yescharacteristic
588C22×C42C22×C511yescharacteristic
589C22×C42C22×C511yescharacteristic
590#400C22×C511yescharacteristic
591#400C22×C511yescharacteristic
592#400C22×C511yescharacteristic
593#400C22×C511yescharacteristic
594#399C22×C511yescharacteristic
595#399C22×C511yescharacteristic
596#398C22×C511yescharacteristic
597#398C22×C511yescharacteristic
598#398C22×C511yescharacteristic
599#398C22×C511yescharacteristic
600#398C22×C511yescharacteristic
601#398C22×C511yescharacteristic
602#398C22×C511yescharacteristic
603#398C22×C511yescharacteristic
604#397C22×C511yescharacteristic
605#397C22×C511yescharacteristic
606#397C22×C511yescharacteristic
607#397C22×C511yescharacteristic
608#396C22×C511yescharacteristic
609#396C22×C511yescharacteristic
610#396C22×C511yescharacteristic
611#396C22×C511yescharacteristic
612#395C22×C511yescharacteristic
613#395C22×C511yescharacteristic
614#395C22×C511yescharacteristic
615#394C22×C511yescharacteristic
616#394C22×C511yescharacteristic
617#394C22×C511yescharacteristic
618#394C22×C511yescharacteristic
619#394C22×C511yescharacteristic
620#393C22×C511yescharacteristic
621#392C22×C511yescharacteristic
622#391C22×C511yescharacteristic
623#391C22×C511yescharacteristic
624#391C22×C511yescharacteristic
625#391C22×C511yescharacteristic
626#391C22×C511yescharacteristic
627#390C22×C511yescharacteristic
628#390C22×C511yescharacteristic
629#390C22×C511yescharacteristic
630#389C22×C511yescharacteristic
631#389C22×C511yescharacteristic
632#389C22×C511yescharacteristic
633#389C22×C511yescharacteristic
634#388C22×C511yescharacteristic
635#388C22×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#388C22×C511yescharacteristic
657#388C22×C511yescharacteristic
658#388C22×C511yescharacteristic
659#388C22×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#386C22×C511yescharacteristic
675#386C22×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#385C22×C511yescharacteristic
690#385C22×C511yescharacteristic
691#385C22×C511yescharacteristic
692#385C22×C511yescharacteristic
693#385C22×C511yescharacteristic
694#385C22×C511yescharacteristic
695#385C22×C511yescharacteristic
696#385C22×C511yescharacteristic
697#385C22×C511yescharacteristic
698#385C22×C511yescharacteristic
699#385C22×C511yescharacteristic
700#383C22×C511yescharacteristic
701#383C22×C511yescharacteristic
702#382C22×C511yescharacteristic
703#382C22×C511yescharacteristic
704#381C22×C511yescharacteristic
705#380C22×C511yescharacteristic
706#380C22×C511yescharacteristic
707C4×C4⋊C4C22×C511yescharacteristic
708C4×C4⋊C4C22×C511yescharacteristic
709C4×C4⋊C4C22×C511yescharacteristic
710C4×C4⋊C4C22×C511yescharacteristic
711C4×C4⋊C4C22×C511yescharacteristic
712C4×C4⋊C4C22×C511yescharacteristic
713C4×C4⋊C4C22×C511yescharacteristic
714C4×C4⋊C4C22×C511yescharacteristic
715C4×C4⋊C4C22×C511yescharacteristic
716C4×C4⋊C4C22×C511yescharacteristic
717C4×C22⋊C4C22×C511yescharacteristic
718C4×C22⋊C4C22×C511yescharacteristic
719C4×C22⋊C4C22×C511yescharacteristic
720C4×C22⋊C4C22×C511yescharacteristic
721#376C22×C511yescharacteristic
722C2×#95C22×C511yescharacteristic
723C2×#95C22×C511yescharacteristic
724C23×C5—21no—
725C23×C5—21no—
726C23×C5—21no—
727C23×C5—21no—
728C23×C5—21no—
729C23×C5—21no—
730C23×C5—21no—
731C23×C5—21no—
732C23×C5—21no—
733C23×C5—21no—
734C23×C5—21no—
735C23×C5—21no—
736C23×C5—21no—
737C23×C5—21no—
738C23×C5—21no—
739C23×C5—21no—
740C23×C5—21no—
741C23×C5—21no—
742C23×C5—21no—
743C23×C5—21no—
744C23×C5—21no—
745C23×C5—21no—
746C23×C5—21no—
747C23×C5—21no—
748C23×C5—21no—
749C23×C5C2×#4112yes—
750C23×C5H(5,𝔽2)12yes—
751C23×C52−1+412yes—
752C23×C5C2511yescharacteristic
753C5×Q8—82no—
754C5×Q8—82no—
755C5×D4—44no—
756C5×D4—44no—
757C5×D4—44no—
758C5×D4—44no—
759C5×D4—82no—
760C5×D4—82no—
761C2×C4×C5—28no—
762C2×C4×C5—28no—
763C2×C4×C5—21no—
764C2×C4×C5—21no—
765C2×C4×C5—21no—
766C2×C4×C5—21no—
767C2×C4×C5—21no—
768C2×C4×C5—21no—
769C2×C4×C5—21no—
770C2×C4×C5—21no—
771C2×C4×C5—21no—
772C2×C4×C5—21no—
773C2×C4×C5—21no—
774C2×C4×C5—21no—
775C2×C4×C5—21no—
776C2×C4×C5—21no—
777C2×C4×C5—21no—
778C2×C4×C5—21no—
779C2×C4×C5—21no—
780C2×C4×C5—21no—
781C2×C4×C5—21no—
782C2×C4×C5—21no—
783C2×C4×C5—21no—
784C2×C4×C5—21no—
785C2×C4×C5—21no—
786C2×C4×C5—21no—
787C2×C4×C5—21no—
788C2×C4×C5—21no—
789C2×C4×C5—21no—
790C2×C4×C5—21no—
791C2×C4×C5—21no—
792C2×C4×C5—21no—
793C2×C4×C5—21no—
794C2×C4×C5—21no—
795C2×C4×C5—21no—
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—44no—
836C2×C4×C5—44no—
837C2×C4×C5—44no—
838C2×C4×C5—44no—
839C2×C4×C5—44no—
840C2×C4×C5—44no—
841C2×C4×C5—82no—
842C2×C4×C5—82no—
843C2×C4×C5C2×#4112yes—
844C2×C4×C5C2×#4112yes—
845C2×C4×C5C2×#4112yes—
846C2×C4×C5C2×#4112yes—
847C2×C4×C5C2×#4112yes—
848C2×C4×C5C2×#4112yes—
849C2×C4×C5C2×#4112yes—
850C2×C4×C5C2×#4112yes—
851C2×C4×C5H(5,𝔽2)12yes—
852C22×Q8C23×C511yescharacteristic
853C22×Q8C23×C511yescharacteristic
854C22×D4C23×C511yescharacteristic
855C22×D4C23×C511yescharacteristic
856C22×D4C23×C511yescharacteristic
857C22×D4C23×C511yescharacteristic
858C22×D4C23×C511yescharacteristic
859C22×D4C23×C511yescharacteristic
860C23×C4C23×C511yescharacteristic
861C23×C4C23×C511yescharacteristic
862C23×C4C23×C511yescharacteristic
863C23×C4C23×C511yescharacteristic
864C23×C4C23×C511yescharacteristic
865C23×C4C23×C511yescharacteristic
866C23×C4C23×C511yescharacteristic
867C23×C4C23×C511yescharacteristic
868C23×C4C23×C511yescharacteristic
869C23×C4C23×C511yescharacteristic
870#126—24no—
871#126—42no—
872#124—24no—
873#124—42no—
874#123—24no—
875C22⋊Q8—24no—
876C22⋊Q8—42no—
877C22⋊Q8—42no—
878#121—24no—
879#121—42no—
880#121—42no—
881C4×D4—24no—
882C4×D4—42no—
883C4×D4—42no—
884C4×D4—42no—
885#117—42no—
886C2×C4⋊C4—24no—
887C2×C4⋊C4—24no—
888C2×C4⋊C4C23×C511yescharacteristic
889C2×C4⋊C4C23×C511yescharacteristic
890C2×C4⋊C4C23×C511yescharacteristic
891C2×C4⋊C4C23×C511yescharacteristic
892C2×C4⋊C4C23×C511yescharacteristic
893C2×C4⋊C4C23×C511yescharacteristic
894C2×C4⋊C4C23×C511yescharacteristic
895C2×C4⋊C4C23×C511yescharacteristic
896C2×C4⋊C4C23×C511yescharacteristic
897C2×C4⋊C4C23×C511yescharacteristic
898C2×C4⋊C4C23×C511yescharacteristic
899C2×C4⋊C4C23×C511yescharacteristic
900C2×C4⋊C4C23×C511yescharacteristic
901C2×C4⋊C4C23×C511yescharacteristic
902C2×C4⋊C4C23×C511yescharacteristic
903C2×C4⋊C4C23×C511yescharacteristic
904C2×C4⋊C4C23×C511yescharacteristic
905C2×C4⋊C4C23×C511yescharacteristic
906C2×C4⋊C4C23×C511yescharacteristic
907C2×C4⋊C4C23×C511yescharacteristic
908C2×C4⋊C4C23×C511yescharacteristic
909C2×C4⋊C4C23×C511yescharacteristic
910C2×C4⋊C4C23×C511yescharacteristic
911C2×C4⋊C4C23×C511yescharacteristic
912C2×C4⋊C4C23×C511yescharacteristic
913C2×C4⋊C4C23×C511yescharacteristic
914C2×C4⋊C4C23×C511yescharacteristic
915C2×C4⋊C4C23×C511yescharacteristic
916C2×C4⋊C4C23×C511yescharacteristic
917C2×C4⋊C4C23×C511yescharacteristic
918C2×C4⋊C4C23×C511yescharacteristic
919C2×C4⋊C4C23×C511yescharacteristic
920C2×C4⋊C4C23×C511yescharacteristic
921C2×C4⋊C4C23×C511yescharacteristic
922C2×C22⋊C4C23×C511yescharacteristic
923C2×C22⋊C4C23×C511yescharacteristic
924C2×C22⋊C4C23×C511yescharacteristic
925C2×C22⋊C4C23×C511yescharacteristic
926C2×C22⋊C4C23×C511yescharacteristic
927C2×C22⋊C4C23×C511yescharacteristic
928C2×C22⋊C4C23×C511yescharacteristic
929C2×C22⋊C4C23×C511yescharacteristic
930C2×C22⋊C4C23×C511yescharacteristic
931C2×C22⋊C4C23×C511yescharacteristic
932C2×C22⋊C4C23×C511yescharacteristic
933C2×C22⋊C4C23×C511yescharacteristic
934C2×C22⋊C4C23×C511yescharacteristic
935C2×C22⋊C4C23×C511yescharacteristic
936C2×C22⋊C4C23×C511yescharacteristic
937C2×C22⋊C4C23×C511yescharacteristic
938C2×C22⋊C4C23×C511yescharacteristic
939C2×C22⋊C4C23×C511yescharacteristic
940C2×C22⋊C4C23×C511yescharacteristic
941C2×C22⋊C4C23×C511yescharacteristic
942C2×C22⋊C4C23×C511yescharacteristic
943C2×C22⋊C4C23×C511yescharacteristic
944C2×C22⋊C4C23×C511yescharacteristic
945C2×C22⋊C4C23×C511yescharacteristic
946C2×C22⋊C4C23×C511yescharacteristic
947C2×C22⋊C4C23×C511yescharacteristic
948C2×C22⋊C4C23×C511yescharacteristic
949C2×C22⋊C4C23×C511yescharacteristic
950C2×C22⋊C4C23×C511yescharacteristic
951C2×C22⋊C4C23×C511yescharacteristic
952C2×C22⋊C4C23×C511yescharacteristic
953C2×C22⋊C4C23×C511yescharacteristic
954C2×C22⋊C4C23×C511yescharacteristic
955C2×C22⋊C4C23×C511yescharacteristic
956C2×C22⋊C4C23×C511yescharacteristic
957C2×C22⋊C4C23×C511yescharacteristic
958C2×C22⋊C4C23×C511yescharacteristic
959C2×C22⋊C4C23×C511yescharacteristic
960C2×C42—24no—
961C2×C42—42no—
962C2×C42—42no—
963C2×C42C23×C511yescharacteristic
964C2×C42C23×C511yescharacteristic
965C2×C42C23×C511yescharacteristic
966C2×C42C23×C511yescharacteristic
967C2×C42C23×C511yescharacteristic
968C2×C42C23×C511yescharacteristic
969C2×C42C23×C511yescharacteristic
970C2×C42C23×C511yescharacteristic
971C2×C42C23×C511yescharacteristic
972C2×C42C23×C511yescharacteristic
973C2×C42C23×C511yescharacteristic
974C2×C42C23×C511yescharacteristic
975C2×C42C23×C511yescharacteristic
976C2×C42C23×C511yescharacteristic
977C2×C42C23×C511yescharacteristic
978C2×C42C23×C511yescharacteristic
979C2×C42C23×C511yescharacteristic
980#95C23×C511yescharacteristic
981#95C23×C511yescharacteristic
982#95C23×C511yescharacteristic
983#95C23×C511yescharacteristic
984#95C23×C511yescharacteristic
985#95C23×C511yescharacteristic
986#95C23×C511yescharacteristic
987#95C23×C511yescharacteristic
988#95C23×C511yescharacteristic
989#95C23×C511yescharacteristic
990#95C23×C511yescharacteristic
991#95C23×C511yescharacteristic
992#95C23×C511yescharacteristic
993#95C23×C511yescharacteristic
994#95C23×C511yescharacteristic
995#95C23×C511yescharacteristic
996#95C23×C511yescharacteristic
997#95C23×C511yescharacteristic
998#95C23×C511yescharacteristic
999#95C23×C511yescharacteristic
1000#95C23×C511yescharacteristic
1001#95C23×C511yescharacteristic
1002#95C23×C511yescharacteristic
1003#95C23×C511yescharacteristic
1004#95C23×C511yescharacteristic
1005#95C23×C511yescharacteristic
1006#95C23×C511yescharacteristic
1007#95C23×C511yescharacteristic
1008#95C23×C511yescharacteristic
1009#95C23×C511yescharacteristic
1010#95C23×C511yescharacteristic
1011#95C23×C511yescharacteristic
1012#95C23×C511yescharacteristic
1013#95C23×C511yescharacteristic
1014#95C23×C511yescharacteristic
1015#95C23×C511yescharacteristic
1016#95C23×C511yescharacteristic
1017#95C23×C511yescharacteristic
1018#95C23×C511yescharacteristic
1019#95C23×C511yescharacteristic
1020#95C23×C511yescharacteristic
1021#95C23×C511yescharacteristic
1022#95C23×C511yescharacteristic
1023#95C23×C511yescharacteristic
1024#95C23×C511yescharacteristic
1025#95C23×C511yescharacteristic
1026#95C23×C511yescharacteristic
1027#95C23×C511yescharacteristic
1028C22×C5—22no—
1029C22×C5—22no—
1030C22×C5—22no—
1031C22×C5—22no—
1032C22×C5—22no—
1033C22×C5—22no—
1034C22×C5—41no—
1035C22×C5—41no—
1036C22×C5—41no—
1037C22×C5—41no—
1038C22×C5—41no—
1039C22×C5—41no—
1040C22×C5—41no—
1041C22×C5—41no—
1042C22×C5—41no—
1043C22×C5—41no—
1044C22×C5—41no—
1045C22×C5—41no—
1046C22×C5—41no—
1047C22×C5—41no—
1048C22×C5—41no—
1049C22×C5—41no—
1050C22×C5—41no—
1051C22×C5—41no—
1052C22×C5—41no—
1053C22×C5—41no—
1054C22×C5—41no—
1055C22×C5#54214yes—
1056C22×C5C22×#4111yescharacteristic
1057C22×C5C22×#4111yescharacteristic
1058C22×C5C22×#4111yescharacteristic
1059C22×C5C2×H(5,𝔽2)11yescharacteristic
1060C22×C5C2×H(5,𝔽2)11yescharacteristic
1061C22×C5C2×2−1+411yescharacteristic
1062C22×C5#58511yescharacteristic
1063C4×C5—22no—
1064C4×C5—22no—
1065C4×C5—22no—
1066C4×C5—22no—
1067C4×C5—22no—
1068C4×C5—22no—
1069C4×C5—22no—
1070C4×C5—22no—
1071C4×C5—22no—
1072C4×C5—41no—
1073C4×C5—41no—
1074C4×C5—41no—
1075C4×C5—41no—
1076C4×C5—41no—
1077C4×C5—41no—
1078C4×C5—41no—
1079C4×C5—41no—
1080C4×C5—41no—
1081C4×C5—41no—
1082C4×C5—41no—
1083C4×C5—41no—
1084C4×C5—41no—
1085C4×C5—41no—
1086C4×C5—41no—
1087C4×C5—41no—
1088C4×C5—41no—
1089C4×C5—41no—
1090C24C24×C511yescharacteristic
1091C24C24×C511yescharacteristic
1092C24C24×C511yescharacteristic
1093C24C24×C511yescharacteristic
1094C2×Q8—22no—
1095C2×Q8—22no—
1096C2×Q8—41no—
1097C2×Q8—41no—
1098C2×Q8—41no—
1099C2×Q8—41no—
1100C2×D4—22no—
1101C2×D4—22no—
1102C2×D4—22no—
1103C2×D4—22no—
1104C2×D4—22no—
1105C2×D4—22no—
1106C2×D4—22no—
1107C2×D4—22no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4C5×#4114yes—
1148C22×C4C24×C511yescharacteristic
1149C22×C4C24×C511yescharacteristic
1150C22×C4C24×C511yescharacteristic
1151C22×C4C24×C511yescharacteristic
1152C22×C4C24×C511yescharacteristic
1153C22×C4C24×C511yescharacteristic
1154C22×C4C24×C511yescharacteristic
1155C22×C4C24×C511yescharacteristic
1156C22×C4C24×C511yescharacteristic
1157C22×C4C24×C511yescharacteristic
1158C22×C4C24×C511yescharacteristic
1159C22×C4C24×C511yescharacteristic
1160C22×C4C24×C511yescharacteristic
1161C22×C4C24×C511yescharacteristic
1162C22×C4C24×C511yescharacteristic
1163C22×C4C24×C511yescharacteristic
1164C22×C4C24×C511yescharacteristic
1165C22×C4C24×C511yescharacteristic
1166C22×C4C24×C511yescharacteristic
1167C22×C4C24×C511yescharacteristic
1168C22×C4C24×C511yescharacteristic
1169C22×C4C24×C511yescharacteristic
1170C22×C4C24×C511yescharacteristic
1171C22×C4C24×C511yescharacteristic
1172C22×C4C24×C511yescharacteristic
1173C22×C4C24×C511yescharacteristic
1174C22×C4C24×C511yescharacteristic
1175C4⋊C4—22no—
1176C4⋊C4—22no—
1177C4⋊C4—22no—
1178C4⋊C4—22no—
1179C4⋊C4—22no—
1180C4⋊C4—22no—
1181C4⋊C4—22no—
1182C4⋊C4—22no—
1183C4⋊C4—22no—
1184C4⋊C4—22no—
1185C4⋊C4—22no—
1186C4⋊C4—22no—
1187C4⋊C4—22no—
1188C4⋊C4—22no—
1189C4⋊C4—22no—
1190C4⋊C4—22no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4C5×#4114yes—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C42—22no—
1248C42—22no—
1249C42—22no—
1250C42—22no—
1251C42—22no—
1252C42—22no—
1253C42—22no—
1254C42—22no—
1255C42—41no—
1256C42—41no—
1257C42—41no—
1258C42—41no—
1259C42—41no—
1260C42—41no—
1261C42—41no—
1262C42—41no—
1263C42C5×#4114yes—
1264C2×C5—24no—
1265C2×C5—81no—
1266C2×C5—81no—
1267C2×C5—81no—
1268C2×C5#344411yescharacteristic
1269C2×C5C2×#54211yescharacteristic
1270C2×C5#345911yescharacteristic
1271C2×C5#349211yescharacteristic
1272C2×C5#349411yescharacteristic
1273C2×C5#351611yescharacteristic
1274C2×C5#351911yescharacteristic
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23C2×C5×#4112yes—
1301C23C5×H(5,𝔽2)12yes—
1302C23C5×2−1+412yes—
1303C23C25×C511yescharacteristic
1304Q8—82no—
1305Q8—82no—
1306D4—44no—
1307D4—44no—
1308D4—44no—
1309D4—44no—
1310D4—82no—
1311D4—82no—
1312C2×C4—28no—
1313C2×C4—28no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—44no—
1387C2×C4—44no—
1388C2×C4—44no—
1389C2×C4—44no—
1390C2×C4—44no—
1391C2×C4—44no—
1392C2×C4—82no—
1393C2×C4—82no—
1394C2×C4C2×C5×#4112yes—
1395C2×C4C2×C5×#4112yes—
1396C2×C4C2×C5×#4112yes—
1397C2×C4C2×C5×#4112yes—
1398C2×C4C2×C5×#4112yes—
1399C2×C4C2×C5×#4112yes—
1400C2×C4C2×C5×#4112yes—
1401C2×C4C2×C5×#4112yes—
1402C2×C4C5×H(5,𝔽2)12yes—
1403C5#3506011yescharacteristic, direct product factor, Sylow
1404C22—22no—
1405C22—22no—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—22no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22C5×#54214yes—
1432C22C22×C5×#4111yescharacteristic
1433C22C22×C5×#4111yescharacteristic
1434C22C22×C5×#4111yescharacteristic
1435C22C2×C5×H(5,𝔽2)11yescharacteristic
1436C22C2×C5×H(5,𝔽2)11yescharacteristic
1437C22C2×C5×2−1+411yescharacteristic
1438C22C5×#58511yescharacteristic
1439C4—22no—
1440C4—22no—
1441C4—22no—
1442C4—22no—
1443C4—22no—
1444C4—22no—
1445C4—22no—
1446C4—22no—
1447C4—22no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C2—24no—
1467C2—81no—
1468C2—81no—
1469C2—81no—
1470C2C5×#344411yescharacteristic
1471C2C2×C5×#54211yescharacteristic
1472C2C5×#345911yescharacteristic
1473C2C5×#349211yescharacteristic
1474C2C5×#349411yescharacteristic
1475C2C5×#351611yescharacteristic
1476C2C5×#351911yescharacteristic
subgroupG/H
center, socleC23×C5C25
commutator, Frattini, cosocleC23C25×C5
prime radicalC5×#2543C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C5 ◁ G

Complements

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

NH ≅ G/Ntype
1. C5×#2852C2semidirect
2. C5×#2852C2semidirect
3. C5×#2850C2semidirect
4. C5×#2850C2semidirect
5. C5×#2666C2semidirect
6. C5×#2662C2semidirect
7. C5×#2654C2semidirect
8. C5×#2651C2semidirect
9. C5×#2591C2semidirect
10. C5×#2579C2semidirect
11. C5×#2549C2semidirect
13. C5×#2532C2semidirect
14. C5×#2529C2semidirect
15. C5×#2525C2semidirect
16. C5×#2520C2semidirect
17. C5×#2479C2semidirect
18. C5×#2474C2semidirect
19. C5×#2468C2semidirect
20. C5×#2461C2semidirect
21. C5×#2450C2semidirect
22. C5×#2449C2semidirect
23. C5×#2444C2semidirect
24. C5×#2443C2semidirect
25. C5×#2337C2semidirect
26. C5×#2335C2semidirect
27. C5×#2334C2semidirect
28. C5×#2332C2semidirect
29. C4×C5×#121C2semidirect
30. C5×#2290C2semidirect
31. C2×C4×C5×C4⋊C4C2semidirect
187. #35060C5direct (N × H)
364. #2852C2×C5semidirect
365. #2852C2×C5semidirect
366. #2850C2×C5semidirect
367. #2850C2×C5semidirect
368. #2666C2×C5semidirect
369. #2662C2×C5semidirect
370. #2654C2×C5semidirect
371. #2651C2×C5semidirect
372. #2591C2×C5semidirect
373. #2579C2×C5semidirect
374. #2549C2×C5semidirect
376. #2532C2×C5semidirect
377. #2529C2×C5semidirect
378. #2525C2×C5semidirect
379. #2520C2×C5semidirect
380. #2479C2×C5semidirect
381. #2474C2×C5semidirect
382. #2468C2×C5semidirect
383. #2461C2×C5semidirect
384. #2450C2×C5semidirect
385. #2449C2×C5semidirect
386. #2444C2×C5semidirect
387. #2443C2×C5semidirect
388. #2337C2×C5semidirect
389. #2335C2×C5semidirect
390. #2334C2×C5semidirect
391. #2332C2×C5semidirect
392. C4×#121C2×C5semidirect
393. #2290C2×C5semidirect
394. C2×C4×C4⋊C4C2×C5semidirect
1403. C5#35060direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#28522
C5×#28502
C5×#26662
C5×#26622
C5×#26542
C5×#26512
C5×#25912
C5×#25792
C5×#25492
C5×#25432
C5×#25322
C5×#25292
C5×#25252
C5×#25202
C5×#24792
C5×#24742
C5×#24682
C5×#24612
C5×#24502
C5×#24492
C5×#24442
C5×#24432
C5×#23372
C5×#23352
C5×#23342
C5×#23322
C4×C5×#1212
C5×#22902
C2×C4×C5×C4⋊C42
#350605