Finite Group Databasebeta

← C5×#35074 #11957794

Subgroups — C5×#35074 #11957794

Order 1280.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2855C211yesmaximal, characteristic, complemented
2C5×#2854C211yesmaximal, characteristic, complemented
3C5×#2849C211yesmaximal, characteristic, complemented
4C5×#2849C211yesmaximal, characteristic, complemented
5C5×#2653C211yesmaximal, characteristic, complemented
6C5×#2652C211yesmaximal, characteristic, complemented
7C5×#2649C211yesmaximal, characteristic, complemented
8C5×#2648C211yesmaximal, characteristic, complemented
9C5×#2597C211yesmaximal, characteristic, complemented
10C5×#2595C211yesmaximal, characteristic, complemented
11C5×#2589C211yesmaximal, characteristic, complemented
12C5×#2587C211yesmaximal, characteristic, complemented
13C5×#2578C211yesmaximal, characteristic, complemented
14C5×#2576C211yesmaximal, characteristic, complemented
15C5×#2559C211yesmaximal, characteristic, complemented
16C5×#2557C211yesmaximal, characteristic, complemented
17C5×#2493C211yesmaximal, characteristic, complemented
18C5×#2488C211yesmaximal, characteristic, complemented
19C5×#2480C211yesmaximal, characteristic, complemented
20C5×#2472C211yesmaximal, characteristic, complemented
21C5×#2425C211yesmaximal, characteristic, complemented
22C5×#2424C211yesmaximal, characteristic
23C5×#2419C211yesmaximal, characteristic, complemented
24C5×#2418C211yesmaximal, characteristic, complemented
25C5×#2337C211yesmaximal, characteristic, complemented
26C5×#2335C211yesmaximal, characteristic, complemented
27C5×#2334C211yesmaximal, characteristic, complemented
28C5×#2333C211yesmaximal, characteristic, complemented
29C4×C5×#123C211yesmaximal, characteristic, complemented
30C4×C5×#123C211yesmaximal, characteristic, complemented
31C2×C4×C5×C22⋊C4C211yesmaximal, characteristic, complemented
32C24×C4×C5C2211yescharacteristic
33C2×C5×#126C2211yescharacteristic
34C2×C5×#124C2211yescharacteristic
35C2×C5×#123C2211yescharacteristic
36C2×C5×#123C2211yescharacteristic
37C2×C5×#123C2211yescharacteristic
38C2×C5×#123C2211yescharacteristic
39C2×C5×#123C2211yescharacteristic
40C2×C5×C22⋊Q8C2211yescharacteristic
41C2×C5×#121C2211yescharacteristic
42C2×C5×#121C2211yescharacteristic
43C2×C5×#120C2211yescharacteristic
44C2×C5×#120C2211yescharacteristic
45C2×C4×C5×D4C2211yescharacteristic
46C2×C4×C5×D4C2211yescharacteristic
47C22×C5×C22⋊C4C2211yescharacteristic
48C22×C5×C22⋊C4C2211yescharacteristic
49C22×C42×C5C2211yescharacteristic
50C22×C42×C5C2211yescharacteristic
51C5×#401C2211yescharacteristic, complemented
52C5×#400C2211yescharacteristic, complemented
53C5×#400C2211yescharacteristic, complemented
54C5×#400C2211yescharacteristic, complemented
55C5×#400C2211yescharacteristic, complemented
56C5×#400C2211yescharacteristic, complemented
57C5×#400C2211yescharacteristic, complemented
58C5×#399C2211yescharacteristic
59C5×#398C2211yescharacteristic, complemented
60C5×#398C2211yescharacteristic, complemented
61C5×#397C2211yescharacteristic
62C5×#397C2211yescharacteristic
63C5×#397C2211yescharacteristic
64C5×#397C2211yescharacteristic
65C5×#397C2211yescharacteristic
66C5×#397C2211yescharacteristic, complemented
67C5×#397C2211yescharacteristic, complemented
68C5×#397C2211yescharacteristic, complemented
69C5×#397C2211yescharacteristic, complemented
70C5×#396C2211yescharacteristic
71C5×#396C2211yescharacteristic
72C5×#396C2211yescharacteristic, complemented
73C5×#394C2211yescharacteristic
74C5×#394C2211yescharacteristic
75C5×#394C2211yescharacteristic
76C5×#394C2211yescharacteristic
77C5×#394C2211yescharacteristic
78C5×#394C2211yescharacteristic
79C5×#394C2211yescharacteristic, complemented
80C5×#393C2211yescharacteristic
81C5×#393C2211yescharacteristic, complemented
82C5×#392C2211yescharacteristic
83C5×#391C2211yescharacteristic, complemented
84C5×#391C2211yescharacteristic, complemented
85C5×#391C2211yescharacteristic, complemented
86C5×#390C2211yescharacteristic
87C5×#390C2211yescharacteristic
88C5×#390C2211yescharacteristic, complemented
89C5×#390C2211yescharacteristic, complemented
90C5×#389C2211yescharacteristic, complemented
91C5×#389C2211yescharacteristic, complemented
92C5×#389C2211yescharacteristic, complemented
93C5×#389C2211yescharacteristic, complemented
94C5×#389C2211yescharacteristic, complemented
95C5×#388C2211yescharacteristic
96C5×#388C2211yescharacteristic
97C5×#388C2211yescharacteristic
98C5×#388C2211yescharacteristic
99C5×#388C2211yescharacteristic
100C5×#388C2211yescharacteristic
101C5×#388C2211yescharacteristic
102C5×#388C2211yescharacteristic
103C5×#388C2211yescharacteristic, complemented
104C5×#388C2211yescharacteristic, complemented
105C5×#388C2211yescharacteristic, complemented
106C5×#388C2211yescharacteristic, complemented
107C5×#388C2211yescharacteristic, complemented
108C5×#388C2211yescharacteristic, complemented
109C5×#388C2211yescharacteristic, complemented
110C5×#388C2211yescharacteristic, complemented
111C5×#388C2211yescharacteristic, complemented
112C5×#388C2211yescharacteristic, complemented
113C5×#388C2211yescharacteristic, complemented
114C5×#387C2211yescharacteristic, complemented
115C5×#387C2211yescharacteristic, complemented
116C5×#387C2211yescharacteristic, complemented
117C5×#387C2211yescharacteristic, complemented
118C5×#387C2211yescharacteristic, complemented
119C5×#387C2211yescharacteristic, complemented
120C5×#387C2211yescharacteristic, complemented
121C5×#387C2211yescharacteristic, complemented
122C5×#387C2211yescharacteristic, complemented
123C5×#387C2211yescharacteristic, complemented
124C5×#387C2211yescharacteristic, complemented
125C5×#387C2211yescharacteristic, complemented
126C5×#387C2211yescharacteristic, complemented
127C5×#386C2211yescharacteristic
128C5×#386C2211yescharacteristic
129C5×#386C2211yescharacteristic
130C5×#386C2211yescharacteristic
131C5×#386C2211yescharacteristic
132C5×#386C2211yescharacteristic
133C5×#386C2211yescharacteristic
134C5×#386C2211yescharacteristic
135C5×#386C2211yescharacteristic
136C5×#386C2211yescharacteristic
137C5×#386C2211yescharacteristic
138C5×#386C2211yescharacteristic
139C5×#386C2211yescharacteristic
140C5×#386C2211yescharacteristic
141C5×#386C2211yescharacteristic, complemented
142C5×#385C2211yescharacteristic
143C5×#385C2211yescharacteristic
144C5×#385C2211yescharacteristic
145C5×#385C2211yescharacteristic
146C5×#385C2211yescharacteristic
147C5×#385C2211yescharacteristic
148C5×#385C2211yescharacteristic
149C5×#385C2211yescharacteristic
150C5×#385C2211yescharacteristic
151C5×#385C2211yescharacteristic
152C5×#385C2211yescharacteristic
153C5×#385C2211yescharacteristic
154C5×#385C2211yescharacteristic, complemented
155C5×#383C2211yescharacteristic, complemented
156C5×#382C2211yescharacteristic, complemented
157C5×#381C2211yescharacteristic
158C5×#381C2211yescharacteristic
159C5×#381C2211yescharacteristic
160C5×#381C2211yescharacteristic
161C5×#381C2211yescharacteristic, complemented
162C5×#380C2211yescharacteristic
163C5×#380C2211yescharacteristic
164C5×#380C2211yescharacteristic, complemented
165C5×#379C2211yescharacteristic
166C5×#379C2211yescharacteristic
167C4×C5×C4⋊C4C2211yescharacteristic, complemented
168C4×C5×C4⋊C4C2211yescharacteristic, complemented
169C4×C5×C4⋊C4C2211yescharacteristic, complemented
170C4×C5×C4⋊C4C2211yescharacteristic, complemented
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, complemented
182C4×C5×C22⋊C4C2211yescharacteristic, complemented
183C4×C5×C22⋊C4C2211yescharacteristic, complemented
184C4×C5×C22⋊C4C2211yescharacteristic, complemented
185C2×C5×#95C2211yescharacteristic
186C2×C5×#95C2211yescharacteristic
187#35074C511yesmaximal, characteristic, direct product factor, Sylow
188C25×C5C2311yescharacteristic
189C22×C5×Q8C2311yescharacteristic
190C22×C5×D4C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C22×C5×D4C2311yescharacteristic
197C23×C4×C5—24no—
198C23×C4×C5—42no—
199C23×C4×C5—42no—
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
212C5×#126—24no—
213C5×#124—24no—
214C5×#123—24no—
215C5×#123—24no—
216C5×#123—24no—
217C5×#123—42no—
218C5×#123—42no—
219C5×C22⋊Q8—42no—
220C5×#121—24no—
221C5×#121—42no—
222C5×#120—42no—
223C5×#120—42no—
224C4×C5×D4—42no—
225C4×C5×D4—42no—
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×C22⋊C4—24no—
253C2×C5×C22⋊C4—24no—
254C2×C5×C22⋊C4C2311yescharacteristic
255C2×C5×C22⋊C4C2311yescharacteristic
256C2×C5×C22⋊C4C2311yescharacteristic
257C2×C5×C22⋊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×C5×C22⋊C4C2311yescharacteristic
297C2×C5×C22⋊C4C2311yescharacteristic
298C2×C5×C22⋊C4C2311yescharacteristic
299C2×C5×C22⋊C4C2311yescharacteristic
300C2×C42×C5—42no—
301C2×C42×C5—42no—
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#2855C2×C511yescharacteristic, complemented
365#2854C2×C511yescharacteristic, complemented
366#2849C2×C511yescharacteristic, complemented
367#2849C2×C511yescharacteristic, complemented
368#2653C2×C511yescharacteristic, complemented
369#2652C2×C511yescharacteristic, complemented
370#2649C2×C511yescharacteristic, complemented
371#2648C2×C511yescharacteristic, complemented
372#2597C2×C511yescharacteristic, complemented
373#2595C2×C511yescharacteristic, complemented
374#2589C2×C511yescharacteristic, complemented
375#2587C2×C511yescharacteristic, complemented
376#2578C2×C511yescharacteristic, complemented
377#2576C2×C511yescharacteristic, complemented
378#2559C2×C511yescharacteristic, complemented
379#2557C2×C511yescharacteristic, complemented
380#2493C2×C511yescharacteristic, complemented
381#2488C2×C511yescharacteristic, complemented
382#2480C2×C511yescharacteristic, complemented
383#2472C2×C511yescharacteristic, complemented
384#2425C2×C511yescharacteristic, complemented
385#2424C2×C511yescharacteristic
386#2419C2×C511yescharacteristic, complemented
387#2418C2×C511yescharacteristic, complemented
388#2337C2×C511yescharacteristic, complemented
389#2335C2×C511yescharacteristic, complemented
390#2334C2×C511yescharacteristic, complemented
391#2333C2×C511yescharacteristic, complemented
392C4×#123C2×C511yescharacteristic, complemented
393C4×#123C2×C511yescharacteristic, complemented
394C2×C4×C22⋊C4C2×C511yescharacteristic, complemented
395C24×C5—22no—
396C24×C5—22no—
397C24×C5—22no—
398C24×C5—22no—
399C24×C5—22no—
400C24×C5—41no—
401C24×C5—41no—
402C24×C5C2411yescharacteristic
403C24×C5C2411yescharacteristic
404C24×C5C2411yescharacteristic
405C24×C5C2411yescharacteristic
406C24×C5C2411yescharacteristic
407C2×C5×Q8—22no—
408C2×C5×Q8—41no—
409C2×C5×Q8—41no—
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—22no—
418C2×C5×D4—22no—
419C2×C5×D4—22no—
420C2×C5×D4—22no—
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×D4—41no—
428C2×C5×D4—41no—
429C2×C5×D4—41no—
430C2×C5×D4—41no—
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—22no—
440C22×C4×C5—22no—
441C22×C4×C5—22no—
442C22×C4×C5—22no—
443C22×C4×C5—22no—
444C22×C4×C5—22no—
445C22×C4×C5—22no—
446C22×C4×C5—22no—
447C22×C4×C5—22no—
448C22×C4×C5—22no—
449C22×C4×C5—22no—
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—416no—
467C22×C4×C5#4114yes—
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
480C22×C4×C5C2411yescharacteristic
481C22×C4×C5C2411yescharacteristic
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
494C5×C4⋊C4—22no—
495C5×C4⋊C4—22no—
496C5×C4⋊C4—22no—
497C5×C4⋊C4—22no—
498C5×C4⋊C4—22no—
499C5×C4⋊C4—22no—
500C5×C4⋊C4—22no—
501C5×C4⋊C4—22no—
502C5×C4⋊C4—22no—
503C5×C4⋊C4—22no—
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—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×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—22no—
538C5×C22⋊C4—22no—
539C5×C22⋊C4—22no—
540C5×C22⋊C4—22no—
541C5×C22⋊C4—22no—
542C5×C22⋊C4—22no—
543C5×C22⋊C4—22no—
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⋊C4#4114yes—
565C5×C22⋊C4#4114yes—
566C42×C5—22no—
567C42×C5—22no—
568C42×C5—41no—
569C42×C5—41no—
570C42×C5—41no—
571C42×C5—41no—
572C42×C5—41no—
573C42×C5—41no—
574C42×C5—41no—
575C42×C5—41no—
576C42×C5—41no—
577C42×C5—41no—
578C42×C5—41no—
579C42×C5—41no—
580C24×C4C22×C511yescharacteristic
581C2×#126C22×C511yescharacteristic
582C2×#124C22×C511yescharacteristic
583C2×#123C22×C511yescharacteristic
584C2×#123C22×C511yescharacteristic
585C2×#123C22×C511yescharacteristic
586C2×#123C22×C511yescharacteristic
587C2×#123C22×C511yescharacteristic
588C2×C22⋊Q8C22×C511yescharacteristic
589C2×#121C22×C511yescharacteristic
590C2×#121C22×C511yescharacteristic
591C2×#120C22×C511yescharacteristic
592C2×#120C22×C511yescharacteristic
593C2×C4×D4C22×C511yescharacteristic
594C2×C4×D4C22×C511yescharacteristic
595C22×C22⋊C4C22×C511yescharacteristic
596C22×C22⋊C4C22×C511yescharacteristic
597C22×C42C22×C511yescharacteristic
598C22×C42C22×C511yescharacteristic
599#401C22×C511yescharacteristic, complemented
600#400C22×C511yescharacteristic, complemented
601#400C22×C511yescharacteristic, complemented
602#400C22×C511yescharacteristic, complemented
603#400C22×C511yescharacteristic, complemented
604#400C22×C511yescharacteristic, complemented
605#400C22×C511yescharacteristic, complemented
606#399C22×C511yescharacteristic
607#398C22×C511yescharacteristic, complemented
608#398C22×C511yescharacteristic, complemented
609#397C22×C511yescharacteristic
610#397C22×C511yescharacteristic
611#397C22×C511yescharacteristic
612#397C22×C511yescharacteristic
613#397C22×C511yescharacteristic
614#397C22×C511yescharacteristic, complemented
615#397C22×C511yescharacteristic, complemented
616#397C22×C511yescharacteristic, complemented
617#397C22×C511yescharacteristic, complemented
618#396C22×C511yescharacteristic
619#396C22×C511yescharacteristic
620#396C22×C511yescharacteristic, complemented
621#394C22×C511yescharacteristic
622#394C22×C511yescharacteristic
623#394C22×C511yescharacteristic
624#394C22×C511yescharacteristic
625#394C22×C511yescharacteristic
626#394C22×C511yescharacteristic
627#394C22×C511yescharacteristic, complemented
628#393C22×C511yescharacteristic
629#393C22×C511yescharacteristic, complemented
630#392C22×C511yescharacteristic
631#391C22×C511yescharacteristic, complemented
632#391C22×C511yescharacteristic, complemented
633#391C22×C511yescharacteristic, complemented
634#390C22×C511yescharacteristic
635#390C22×C511yescharacteristic
636#390C22×C511yescharacteristic, complemented
637#390C22×C511yescharacteristic, complemented
638#389C22×C511yescharacteristic, complemented
639#389C22×C511yescharacteristic, complemented
640#389C22×C511yescharacteristic, complemented
641#389C22×C511yescharacteristic, complemented
642#389C22×C511yescharacteristic, complemented
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, complemented
652#388C22×C511yescharacteristic, complemented
653#388C22×C511yescharacteristic, complemented
654#388C22×C511yescharacteristic, complemented
655#388C22×C511yescharacteristic, complemented
656#388C22×C511yescharacteristic, complemented
657#388C22×C511yescharacteristic, complemented
658#388C22×C511yescharacteristic, complemented
659#388C22×C511yescharacteristic, complemented
660#388C22×C511yescharacteristic, complemented
661#388C22×C511yescharacteristic, complemented
662#387C22×C511yescharacteristic, complemented
663#387C22×C511yescharacteristic, complemented
664#387C22×C511yescharacteristic, complemented
665#387C22×C511yescharacteristic, complemented
666#387C22×C511yescharacteristic, complemented
667#387C22×C511yescharacteristic, complemented
668#387C22×C511yescharacteristic, complemented
669#387C22×C511yescharacteristic, complemented
670#387C22×C511yescharacteristic, complemented
671#387C22×C511yescharacteristic, complemented
672#387C22×C511yescharacteristic, complemented
673#387C22×C511yescharacteristic, complemented
674#387C22×C511yescharacteristic, complemented
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#386C22×C511yescharacteristic, complemented
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#385C22×C511yescharacteristic
701#385C22×C511yescharacteristic
702#385C22×C511yescharacteristic, complemented
703#383C22×C511yescharacteristic, complemented
704#382C22×C511yescharacteristic, complemented
705#381C22×C511yescharacteristic
706#381C22×C511yescharacteristic
707#381C22×C511yescharacteristic
708#381C22×C511yescharacteristic
709#381C22×C511yescharacteristic, complemented
710#380C22×C511yescharacteristic
711#380C22×C511yescharacteristic
712#380C22×C511yescharacteristic, complemented
713#379C22×C511yescharacteristic
714#379C22×C511yescharacteristic
715C4×C4⋊C4C22×C511yescharacteristic, complemented
716C4×C4⋊C4C22×C511yescharacteristic, complemented
717C4×C4⋊C4C22×C511yescharacteristic, complemented
718C4×C4⋊C4C22×C511yescharacteristic, complemented
719C4×C22⋊C4C22×C511yescharacteristic
720C4×C22⋊C4C22×C511yescharacteristic
721C4×C22⋊C4C22×C511yescharacteristic
722C4×C22⋊C4C22×C511yescharacteristic
723C4×C22⋊C4C22×C511yescharacteristic
724C4×C22⋊C4C22×C511yescharacteristic
725C4×C22⋊C4C22×C511yescharacteristic
726C4×C22⋊C4C22×C511yescharacteristic
727C4×C22⋊C4C22×C511yescharacteristic
728C4×C22⋊C4C22×C511yescharacteristic
729C4×C22⋊C4C22×C511yescharacteristic, complemented
730C4×C22⋊C4C22×C511yescharacteristic, complemented
731C4×C22⋊C4C22×C511yescharacteristic, complemented
732C4×C22⋊C4C22×C511yescharacteristic, complemented
733C2×#95C22×C511yescharacteristic
734C2×#95C22×C511yescharacteristic
735C23×C5—21no—
736C23×C5—21no—
737C23×C5—21no—
738C23×C5—21no—
739C23×C5—28no—
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×C5—21no—
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—44no—
767C23×C5—44no—
768C23×C5—44no—
769C23×C5—44no—
770C23×C5—44no—
771C23×C5—44no—
772C23×C5C2×#4112yes—
773C23×C5C2×#4112yes—
774C23×C5C2×#4112yes—
775C23×C5H(5,𝔽2)12yes—
776C23×C5H(5,𝔽2)12yes—
777C23×C5C2511yescharacteristic
778C5×Q8—82no—
779C5×D4—44no—
780C5×D4—44no—
781C5×D4—82no—
782C5×D4—82no—
783C5×D4—82no—
784C5×D4—82no—
785C5×D4—82no—
786C2×C4×C5—28no—
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—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—44no—
860C2×C4×C5—44no—
861C2×C4×C5—44no—
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—82no—
869C2×C4×C5—82no—
870C2×C4×C5C2×#4112yes—
871C2×C4×C5C2×#4112yes—
872C2×C4×C5C2×#4112yes—
873C2×C4×C5C2×#4112yes—
874C2×C4×C5C2×#4112yes—
875C2×C4×C5C2×#4112yes—
876C25C23×C511yescharacteristic
877C22×Q8C23×C511yescharacteristic
878C22×D4C23×C511yescharacteristic
879C22×D4C23×C511yescharacteristic
880C22×D4C23×C511yescharacteristic
881C22×D4C23×C511yescharacteristic
882C22×D4C23×C511yescharacteristic
883C22×D4C23×C511yescharacteristic
884C22×D4C23×C511yescharacteristic
885C23×C4—24no—
886C23×C4—42no—
887C23×C4—42no—
888C23×C4C23×C511yescharacteristic
889C23×C4C23×C511yescharacteristic
890C23×C4C23×C511yescharacteristic
891C23×C4C23×C511yescharacteristic
892C23×C4C23×C511yescharacteristic
893C23×C4C23×C511yescharacteristic
894C23×C4C23×C511yescharacteristic
895C23×C4C23×C511yescharacteristic
896C23×C4C23×C511yescharacteristic
897C23×C4C23×C511yescharacteristic
898C23×C4C23×C511yescharacteristic
899C23×C4C23×C511yescharacteristic
900#126—24no—
901#124—24no—
902#123—24no—
903#123—24no—
904#123—24no—
905#123—42no—
906#123—42no—
907C22⋊Q8—42no—
908#121—24no—
909#121—42no—
910#120—42no—
911#120—42no—
912C4×D4—42no—
913C4×D4—42no—
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×C4⋊C4C23×C511yescharacteristic
923C2×C4⋊C4C23×C511yescharacteristic
924C2×C4⋊C4C23×C511yescharacteristic
925C2×C4⋊C4C23×C511yescharacteristic
926C2×C4⋊C4C23×C511yescharacteristic
927C2×C4⋊C4C23×C511yescharacteristic
928C2×C4⋊C4C23×C511yescharacteristic
929C2×C4⋊C4C23×C511yescharacteristic
930C2×C4⋊C4C23×C511yescharacteristic
931C2×C4⋊C4C23×C511yescharacteristic
932C2×C4⋊C4C23×C511yescharacteristic
933C2×C4⋊C4C23×C511yescharacteristic
934C2×C4⋊C4C23×C511yescharacteristic
935C2×C4⋊C4C23×C511yescharacteristic
936C2×C4⋊C4C23×C511yescharacteristic
937C2×C4⋊C4C23×C511yescharacteristic
938C2×C4⋊C4C23×C511yescharacteristic
939C2×C4⋊C4C23×C511yescharacteristic
940C2×C22⋊C4—24no—
941C2×C22⋊C4—24no—
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×C22⋊C4C23×C511yescharacteristic
961C2×C22⋊C4C23×C511yescharacteristic
962C2×C22⋊C4C23×C511yescharacteristic
963C2×C22⋊C4C23×C511yescharacteristic
964C2×C22⋊C4C23×C511yescharacteristic
965C2×C22⋊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×C42—42no—
989C2×C42—42no—
990C2×C42C23×C511yescharacteristic
991C2×C42C23×C511yescharacteristic
992C2×C42C23×C511yescharacteristic
993C2×C42C23×C511yescharacteristic
994C2×C42C23×C511yescharacteristic
995C2×C42C23×C511yescharacteristic
996C2×C42C23×C511yescharacteristic
997C2×C42C23×C511yescharacteristic
998C2×C42C23×C511yescharacteristic
999C2×C42C23×C511yescharacteristic
1000C2×C42C23×C511yescharacteristic
1001C2×C42C23×C511yescharacteristic
1002C2×C42C23×C511yescharacteristic
1003C2×C42C23×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
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
1052C22×C5—22no—
1053C22×C5—22no—
1054C22×C5—22no—
1055C22×C5—22no—
1056C22×C5—22no—
1057C22×C5—22no—
1058C22×C5—22no—
1059C22×C5—22no—
1060C22×C5—22no—
1061C22×C5—22no—
1062C22×C5—22no—
1063C22×C5—22no—
1064C22×C5—416no—
1065C22×C5—41no—
1066C22×C5—41no—
1067C22×C5—41no—
1068C22×C5—41no—
1069C22×C5—41no—
1070C22×C5—41no—
1071C22×C5—41no—
1072C22×C5—41no—
1073C22×C5—41no—
1074C22×C5—41no—
1075C22×C5—41no—
1076C22×C5—41no—
1077C22×C5—41no—
1078C22×C5—41no—
1079C22×C5—41no—
1080C22×C5—41no—
1081C22×C5—41no—
1082C22×C5—41no—
1083C22×C5—41no—
1084C22×C5—41no—
1085C22×C5—41no—
1086C22×C5—41no—
1087C22×C5#53814yes—
1088C22×C5C22×#4111yescharacteristic
1089C22×C5C22×#4111yescharacteristic
1090C22×C5C22×#4111yescharacteristic
1091C22×C5C2×H(5,𝔽2)11yescharacteristic
1092C22×C5C2×H(5,𝔽2)11yescharacteristic
1093C22×C5#58511yescharacteristic
1094C22×C5#58511yescharacteristic
1095C4×C5—22no—
1096C4×C5—22no—
1097C4×C5—22no—
1098C4×C5—22no—
1099C4×C5—22no—
1100C4×C5—22no—
1101C4×C5—41no—
1102C4×C5—41no—
1103C4×C5—41no—
1104C4×C5—41no—
1105C4×C5—41no—
1106C4×C5—41no—
1107C4×C5—41no—
1108C4×C5—41no—
1109C4×C5—41no—
1110C4×C5—41no—
1111C4×C5—41no—
1112C4×C5—41no—
1113C4×C5—41no—
1114C4×C5—41no—
1115C4×C5—41no—
1116C4×C5—41no—
1117C4×C5—41no—
1118C4×C5—41no—
1119C4×C5—41no—
1120C4×C5—41no—
1121C24—22no—
1122C24—22no—
1123C24—22no—
1124C24—22no—
1125C24—22no—
1126C24—41no—
1127C24—41no—
1128C24C24×C511yescharacteristic
1129C24C24×C511yescharacteristic
1130C24C24×C511yescharacteristic
1131C24C24×C511yescharacteristic
1132C24C24×C511yescharacteristic
1133C2×Q8—22no—
1134C2×Q8—41no—
1135C2×Q8—41no—
1136C2×D4—22no—
1137C2×D4—22no—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—22no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—22no—
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—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
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—416no—
1193C22×C4C5×#4114yes—
1194C22×C4C24×C511yescharacteristic
1195C22×C4C24×C511yescharacteristic
1196C22×C4C24×C511yescharacteristic
1197C22×C4C24×C511yescharacteristic
1198C22×C4C24×C511yescharacteristic
1199C22×C4C24×C511yescharacteristic
1200C22×C4C24×C511yescharacteristic
1201C22×C4C24×C511yescharacteristic
1202C22×C4C24×C511yescharacteristic
1203C22×C4C24×C511yescharacteristic
1204C22×C4C24×C511yescharacteristic
1205C22×C4C24×C511yescharacteristic
1206C22×C4C24×C511yescharacteristic
1207C22×C4C24×C511yescharacteristic
1208C22×C4C24×C511yescharacteristic
1209C22×C4C24×C511yescharacteristic
1210C22×C4C24×C511yescharacteristic
1211C22×C4C24×C511yescharacteristic
1212C22×C4C24×C511yescharacteristic
1213C22×C4C24×C511yescharacteristic
1214C22×C4C24×C511yescharacteristic
1215C22×C4C24×C511yescharacteristic
1216C22×C4C24×C511yescharacteristic
1217C22×C4C24×C511yescharacteristic
1218C22×C4C24×C511yescharacteristic
1219C22×C4C24×C511yescharacteristic
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
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⋊C4C5×#4114yes—
1291C22⋊C4C5×#4114yes—
1292C42—22no—
1293C42—22no—
1294C42—41no—
1295C42—41no—
1296C42—41no—
1297C42—41no—
1298C42—41no—
1299C42—41no—
1300C42—41no—
1301C42—41no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C2×C5—24no—
1307C2×C5—42no—
1308C2×C5—42no—
1309C2×C5—81no—
1310C2×C5—81no—
1311C2×C5#344411yescharacteristic
1312C2×C5C2×#53811yescharacteristic
1313C2×C5#345511yescharacteristic
1314C2×C5#351311yescharacteristic
1315C2×C5#351311yescharacteristic
1316C2×C5#351311yescharacteristic
1317C2×C5#351311yescharacteristic
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—28no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—44no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23C2×C5×#4112yes—
1356C23C2×C5×#4112yes—
1357C23C2×C5×#4112yes—
1358C23C5×H(5,𝔽2)12yes—
1359C23C5×H(5,𝔽2)12yes—
1360C23C25×C511yescharacteristic
1361Q8—82no—
1362D4—44no—
1363D4—44no—
1364D4—82no—
1365D4—82no—
1366D4—82no—
1367D4—82no—
1368D4—82no—
1369C2×C4—28no—
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—21no—
1387C2×C4—21no—
1388C2×C4—21no—
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—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—82no—
1452C2×C4—82no—
1453C2×C4C2×C5×#4112yes—
1454C2×C4C2×C5×#4112yes—
1455C2×C4C2×C5×#4112yes—
1456C2×C4C2×C5×#4112yes—
1457C2×C4C2×C5×#4112yes—
1458C2×C4C2×C5×#4112yes—
1459C5#3507411yescharacteristic, direct product factor, Sylow
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—416no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22C5×#53814yes—
1496C22C22×C5×#4111yescharacteristic
1497C22C22×C5×#4111yescharacteristic
1498C22C22×C5×#4111yescharacteristic
1499C22C2×C5×H(5,𝔽2)11yescharacteristic
1500C22C2×C5×H(5,𝔽2)11yescharacteristic
1501C22C5×#58511yescharacteristic
1502C22C5×#58511yescharacteristic
1503C4—22no—
1504C4—22no—
1505C4—22no—
1506C4—22no—
1507C4—22no—
1508C4—22no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C2—24no—
1530C2—42no—
1531C2—42no—
1532C2—81no—
1533C2—81no—
1534C2C5×#344411yescharacteristic
1535C2C2×C5×#53811yescharacteristic
1536C2C5×#345511yescharacteristic
1537C2C5×#351311yescharacteristic
1538C2C5×#351311yescharacteristic
1539C2C5×#351311yescharacteristic
1540C2C5×#351311yescharacteristic
subgroupG/H
center, socleC23×C5C25
commutator, Frattini, cosocleC23C25×C5
prime radicalC5×#2424C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C5 ◁ G

Complements

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

NH ≅ G/Ntype
1. C5×#2855C2semidirect
2. C5×#2854C2semidirect
3. C5×#2849C2semidirect
4. C5×#2849C2semidirect
5. C5×#2653C2semidirect
6. C5×#2652C2semidirect
7. C5×#2649C2semidirect
8. C5×#2648C2semidirect
9. C5×#2597C2semidirect
10. C5×#2595C2semidirect
11. C5×#2589C2semidirect
12. C5×#2587C2semidirect
13. C5×#2578C2semidirect
14. C5×#2576C2semidirect
15. C5×#2559C2semidirect
16. C5×#2557C2semidirect
17. C5×#2493C2semidirect
18. C5×#2488C2semidirect
19. C5×#2480C2semidirect
20. C5×#2472C2semidirect
21. C5×#2425C2semidirect
23. C5×#2419C2semidirect
24. C5×#2418C2semidirect
25. C5×#2337C2semidirect
26. C5×#2335C2semidirect
27. C5×#2334C2semidirect
28. C5×#2333C2semidirect
29. C4×C5×#123C2semidirect
30. C4×C5×#123C2semidirect
31. C2×C4×C5×C22⋊C4C2semidirect
51. C5×#401C22semidirect
52. C5×#400C22semidirect
53. C5×#400C22semidirect
54. C5×#400C22semidirect
55. C5×#400C22semidirect
56. C5×#400C22semidirect
57. C5×#400C22semidirect
59. C5×#398C22semidirect
60. C5×#398C22semidirect
66. C5×#397C22semidirect
67. C5×#397C22semidirect
68. C5×#397C22semidirect
69. C5×#397C22semidirect
72. C5×#396C22semidirect
79. C5×#394C22semidirect
81. C5×#393C22semidirect
83. C5×#391C22semidirect
84. C5×#391C22semidirect
85. C5×#391C22semidirect
88. C5×#390C22semidirect
89. C5×#390C22semidirect
90. C5×#389C22semidirect
91. C5×#389C22semidirect
92. C5×#389C22semidirect
93. C5×#389C22semidirect
94. C5×#389C22semidirect
103. C5×#388C22semidirect
104. C5×#388C22semidirect
105. C5×#388C22semidirect
106. C5×#388C22semidirect
107. C5×#388C22semidirect
108. C5×#388C22semidirect
109. C5×#388C22semidirect
110. C5×#388C22semidirect
111. C5×#388C22semidirect
112. C5×#388C22semidirect
113. C5×#388C22semidirect
114. C5×#387C22semidirect
115. C5×#387C22semidirect
116. C5×#387C22semidirect
117. C5×#387C22semidirect
118. C5×#387C22semidirect
119. C5×#387C22semidirect
120. C5×#387C22semidirect
121. C5×#387C22semidirect
122. C5×#387C22semidirect
123. C5×#387C22semidirect
124. C5×#387C22semidirect
125. C5×#387C22semidirect
126. C5×#387C22semidirect
141. C5×#386C22semidirect
154. C5×#385C22semidirect
155. C5×#383C22semidirect
156. C5×#382C22semidirect
161. C5×#381C22semidirect
164. C5×#380C22semidirect
167. C4×C5×C4⋊C4C22semidirect
168. C4×C5×C4⋊C4C22semidirect
169. C4×C5×C4⋊C4C22semidirect
170. C4×C5×C4⋊C4C22semidirect
181. C4×C5×C22⋊C4C22semidirect
182. C4×C5×C22⋊C4C22semidirect
183. C4×C5×C22⋊C4C22semidirect
184. C4×C5×C22⋊C4C22semidirect
187. #35074C5direct (N × H)
364. #2855C2×C5semidirect
365. #2854C2×C5semidirect
366. #2849C2×C5semidirect
367. #2849C2×C5semidirect
368. #2653C2×C5semidirect
369. #2652C2×C5semidirect
370. #2649C2×C5semidirect
371. #2648C2×C5semidirect
372. #2597C2×C5semidirect
373. #2595C2×C5semidirect
374. #2589C2×C5semidirect
375. #2587C2×C5semidirect
376. #2578C2×C5semidirect
377. #2576C2×C5semidirect
378. #2559C2×C5semidirect
379. #2557C2×C5semidirect
380. #2493C2×C5semidirect
381. #2488C2×C5semidirect
382. #2480C2×C5semidirect
383. #2472C2×C5semidirect
384. #2425C2×C5semidirect
386. #2419C2×C5semidirect
387. #2418C2×C5semidirect
388. #2337C2×C5semidirect
389. #2335C2×C5semidirect
390. #2334C2×C5semidirect
391. #2333C2×C5semidirect
392. C4×#123C2×C5semidirect
393. C4×#123C2×C5semidirect
394. C2×C4×C22⋊C4C2×C5semidirect
599. #401C22×C5semidirect
600. #400C22×C5semidirect
601. #400C22×C5semidirect
602. #400C22×C5semidirect
603. #400C22×C5semidirect
604. #400C22×C5semidirect
605. #400C22×C5semidirect
607. #398C22×C5semidirect
608. #398C22×C5semidirect
614. #397C22×C5semidirect
615. #397C22×C5semidirect
616. #397C22×C5semidirect
617. #397C22×C5semidirect
620. #396C22×C5semidirect
627. #394C22×C5semidirect
629. #393C22×C5semidirect
631. #391C22×C5semidirect
632. #391C22×C5semidirect
633. #391C22×C5semidirect
636. #390C22×C5semidirect
637. #390C22×C5semidirect
638. #389C22×C5semidirect
639. #389C22×C5semidirect
640. #389C22×C5semidirect
641. #389C22×C5semidirect
642. #389C22×C5semidirect
651. #388C22×C5semidirect
652. #388C22×C5semidirect
653. #388C22×C5semidirect
654. #388C22×C5semidirect
655. #388C22×C5semidirect
656. #388C22×C5semidirect
657. #388C22×C5semidirect
658. #388C22×C5semidirect
659. #388C22×C5semidirect
660. #388C22×C5semidirect
661. #388C22×C5semidirect
662. #387C22×C5semidirect
663. #387C22×C5semidirect
664. #387C22×C5semidirect
665. #387C22×C5semidirect
666. #387C22×C5semidirect
667. #387C22×C5semidirect
668. #387C22×C5semidirect
669. #387C22×C5semidirect
670. #387C22×C5semidirect
671. #387C22×C5semidirect
672. #387C22×C5semidirect
673. #387C22×C5semidirect
674. #387C22×C5semidirect
689. #386C22×C5semidirect
702. #385C22×C5semidirect
703. #383C22×C5semidirect
704. #382C22×C5semidirect
709. #381C22×C5semidirect
712. #380C22×C5semidirect
715. C4×C4⋊C4C22×C5semidirect
716. C4×C4⋊C4C22×C5semidirect
717. C4×C4⋊C4C22×C5semidirect
718. C4×C4⋊C4C22×C5semidirect
729. C4×C22⋊C4C22×C5semidirect
730. C4×C22⋊C4C22×C5semidirect
731. C4×C22⋊C4C22×C5semidirect
732. C4×C22⋊C4C22×C5semidirect
1459. C5#35074direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#28552
C5×#28542
C5×#28492
C5×#26532
C5×#26522
C5×#26492
C5×#26482
C5×#25972
C5×#25952
C5×#25892
C5×#25872
C5×#25782
C5×#25762
C5×#25592
C5×#25572
C5×#24932
C5×#24882
C5×#24802
C5×#24722
C5×#24252
C5×#24242
C5×#24192
C5×#24182
C5×#23372
C5×#23352
C5×#23342
C5×#23332
C4×C5×#1232
C2×C4×C5×C22⋊C42
#350745