Finite Group Databasebeta

← C5×#36784 #11959504

Subgroups — C5×#36784 #11959504

Order 1280.

1736 conjugacy classes of subgroups.

The subgroup lattice has 1502 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2853C211yesmaximal, characteristic, complemented
2C5×#2850C211yesmaximal, characteristic, complemented
3C5×#2783C211yesmaximal, characteristic, complemented
4C5×#2779C211yesmaximal, characteristic, complemented
5C5×#2772C211yesmaximal, characteristic, complemented
6C5×#2757C211yesmaximal, characteristic, complemented
7C5×#2753C211yesmaximal, characteristic, complemented
8C5×#2744C211yesmaximal, characteristic, complemented
9C5×#2737C211yesmaximal, characteristic, complemented
10C5×#2735C211yesmaximal, characteristic, complemented
11C5×#2731C211yesmaximal, characteristic, complemented
12C5×#2701C211yesmaximal, characteristic, complemented
13C5×#2693C211yesmaximal, characteristic, complemented
14C5×#2687C211yesmaximal, characteristic, complemented
15C5×#2684C211yesmaximal, characteristic, complemented
16C5×#2684C211yesmaximal, characteristic, complemented
17C5×#2678C211yesmaximal, characteristic
18C5×#2674C211yesmaximal, characteristic, complemented
19C5×#2651C211yesmaximal, characteristic, complemented
20C5×#2650C211yesmaximal, characteristic, complemented
21C5×#2602C211yesmaximal, characteristic, complemented
22C5×#2595C211yesmaximal, characteristic, complemented
23C5×#2557C211yesmaximal, characteristic, complemented
24C5×#2534C211yesmaximal, characteristic, complemented
25C5×#2532C211yesmaximal, characteristic, complemented
26C5×#2531C211yesmaximal, characteristic, complemented
27C5×#2439C211yesmaximal, characteristic, complemented
28C5×#2411C211yesmaximal, characteristic, complemented
29C5×#2335C211yesmaximal, characteristic, complemented
30C5×#2312C211yesmaximal, characteristic, complemented
31C5×#2290C211yesmaximal, characteristic, complemented
32C2×C5×C4⋊Q8C2211yescharacteristic, complemented
33C2×C5×#124C2211yescharacteristic
34C2×C5×#124C2211yescharacteristic
35C2×C5×#123C2211yescharacteristic
36C2×C5×#123C2211yescharacteristic
37C2×C5×#123C2211yescharacteristic
38C2×C5×#123C2211yescharacteristic, complemented
39C2×C5×C22⋊Q8C2211yescharacteristic, complemented
40C2×C5×#121C2211yescharacteristic
41C2×C5×#120C2211yescharacteristic
42C2×C5×#120C2211yescharacteristic
43C2×C4×C5×D4C2211yescharacteristic
44C2×C5×#117C2211yescharacteristic
45C22×C5×C22⋊C4C2211yescharacteristic
46C22×C42×C5C2211yescharacteristic, complemented
47C5×#400C2211yescharacteristic, complemented
48C5×#400C2211yescharacteristic, complemented
49C5×#400C2211yescharacteristic, complemented
50C5×#400C2211yescharacteristic, complemented
51C5×#400C2211yescharacteristic, complemented
52C5×#399C2211yescharacteristic
53C5×#398C2211yescharacteristic, complemented
54C5×#398C2211yescharacteristic, complemented
55C5×#398C2211yescharacteristic, complemented
56C5×#398C2211yescharacteristic, complemented
57C5×#397C2211yescharacteristic
58C5×#397C2211yescharacteristic
59C5×#397C2211yescharacteristic
60C5×#397C2211yescharacteristic
61C5×#397C2211yescharacteristic
62C5×#397C2211yescharacteristic
63C5×#397C2211yescharacteristic
64C5×#397C2211yescharacteristic
65C5×#397C2211yescharacteristic, complemented
66C5×#397C2211yescharacteristic, complemented
67C5×#397C2211yescharacteristic, complemented
68C5×#397C2211yescharacteristic, complemented
69C5×#396C2211yescharacteristic
70C5×#396C2211yescharacteristic
71C5×#396C2211yescharacteristic
72C5×#396C2211yescharacteristic
73C5×#396C2211yescharacteristic
74C5×#396C2211yescharacteristic
75C5×#396C2211yescharacteristic
76C5×#396C2211yescharacteristic, complemented
77C5×#395C2211yescharacteristic, complemented
78C5×#394C2211yescharacteristic
79C5×#394C2211yescharacteristic
80C5×#394C2211yescharacteristic
81C5×#394C2211yescharacteristic
82C5×#394C2211yescharacteristic
83C5×#394C2211yescharacteristic
84C5×#394C2211yescharacteristic
85C5×#394C2211yescharacteristic
86C5×#394C2211yescharacteristic
87C5×#394C2211yescharacteristic
88C5×#393C2211yescharacteristic
89C5×#393C2211yescharacteristic
90C5×#393C2211yescharacteristic
91C5×#393C2211yescharacteristic
92C5×#393C2211yescharacteristic, complemented
93C5×#392C2211yescharacteristic
94C5×#392C2211yescharacteristic
95C5×#391C2211yescharacteristic, complemented
96C5×#391C2211yescharacteristic, complemented
97C5×#391C2211yescharacteristic, complemented
98C5×#390C2211yescharacteristic
99C5×#390C2211yescharacteristic
100C5×#390C2211yescharacteristic
101C5×#390C2211yescharacteristic
102C5×#390C2211yescharacteristic, complemented
103C5×#389C2211yescharacteristic, complemented
104C5×#389C2211yescharacteristic, complemented
105C5×#389C2211yescharacteristic, complemented
106C5×#389C2211yescharacteristic, complemented
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×#388C2211yescharacteristic
124C5×#388C2211yescharacteristic
125C5×#388C2211yescharacteristic
126C5×#388C2211yescharacteristic
127C5×#388C2211yescharacteristic
128C5×#388C2211yescharacteristic
129C5×#388C2211yescharacteristic
130C5×#388C2211yescharacteristic, complemented
131C5×#388C2211yescharacteristic, complemented
132C5×#388C2211yescharacteristic, complemented
133C5×#388C2211yescharacteristic, complemented
134C5×#388C2211yescharacteristic, complemented
135C5×#388C2211yescharacteristic, complemented
136C5×#388C2211yescharacteristic, complemented
137C5×#387C2211yescharacteristic, complemented
138C5×#387C2211yescharacteristic, complemented
139C5×#387C2211yescharacteristic, complemented
140C5×#387C2211yescharacteristic, complemented
141C5×#387C2211yescharacteristic, complemented
142C5×#387C2211yescharacteristic, complemented
143C5×#387C2211yescharacteristic, complemented
144C5×#387C2211yescharacteristic, complemented
145C5×#387C2211yescharacteristic, complemented
146C5×#387C2211yescharacteristic, complemented
147C5×#387C2211yescharacteristic, complemented
148C5×#387C2211yescharacteristic, complemented
149C5×#386C2211yescharacteristic
150C5×#386C2211yescharacteristic
151C5×#386C2211yescharacteristic
152C5×#386C2211yescharacteristic
153C5×#386C2211yescharacteristic
154C5×#386C2211yescharacteristic
155C5×#386C2211yescharacteristic
156C5×#386C2211yescharacteristic
157C5×#386C2211yescharacteristic
158C5×#386C2211yescharacteristic
159C5×#386C2211yescharacteristic, complemented
160C5×#386C2211yescharacteristic, complemented
161C5×#385C2211yescharacteristic
162C5×#385C2211yescharacteristic, complemented
163C5×#385C2211yescharacteristic, complemented
164C5×#385C2211yescharacteristic, complemented
165C5×#385C2211yescharacteristic, complemented
166C5×#385C2211yescharacteristic, complemented
167C5×#383C2211yescharacteristic, complemented
168C5×#382C2211yescharacteristic, complemented
169C5×#382C2211yescharacteristic, complemented
170C5×#381C2211yescharacteristic
171C5×#381C2211yescharacteristic, complemented
172C5×#380C2211yescharacteristic
173C5×#380C2211yescharacteristic
174C5×#380C2211yescharacteristic
175C5×#380C2211yescharacteristic, complemented
176C5×#379C2211yescharacteristic
177C5×#379C2211yescharacteristic
178C5×#379C2211yescharacteristic
179C5×#379C2211yescharacteristic
180C4×C5×C4⋊C4C2211yescharacteristic, complemented
181C4×C5×C4⋊C4C2211yescharacteristic, complemented
182C4×C5×C22⋊C4C2211yescharacteristic
183C4×C5×C22⋊C4C2211yescharacteristic
184C4×C5×C22⋊C4C2211yescharacteristic, complemented
185C4×C5×C22⋊C4C2211yescharacteristic, complemented
186C5×#376C2211yescharacteristic, complemented
187#36784C511yesmaximal, characteristic, direct product factor, Sylow
188C25×C5C2311yescharacteristic
189C22×C5×Q8C2311yescharacteristic
190C22×C5×Q8C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C22×C5×D4C2311yescharacteristic
197C22×C5×D4C2311yescharacteristic
198C23×C4×C5C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
201C23×C4×C5C2311yescharacteristic
202C23×C4×C5C2311yescharacteristic
203C23×C4×C5C2311yescharacteristic
204C5×C4⋊Q8—42no—
205C5×#124—42no—
206C5×#124—42no—
207C5×#123—24no—
208C5×#123—42no—
209C5×#123—42no—
210C5×#123—42no—
211C5×C22⋊Q8—42no—
212C5×#121—42no—
213C5×#120—42no—
214C5×#120—42no—
215C4×C5×D4—24no—
216C5×#117—42no—
217C2×C5×C4⋊C4C2311yescharacteristic
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C4⋊C4C2311yescharacteristic
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C4⋊C4C2311yescharacteristic
223C2×C5×C4⋊C4C2311yescharacteristic
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×C22⋊C4—24no—
247C2×C5×C22⋊C4C2311yescharacteristic
248C2×C5×C22⋊C4C2311yescharacteristic
249C2×C5×C22⋊C4C2311yescharacteristic
250C2×C5×C22⋊C4C2311yescharacteristic
251C2×C5×C22⋊C4C2311yescharacteristic
252C2×C5×C22⋊C4C2311yescharacteristic
253C2×C5×C22⋊C4C2311yescharacteristic
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×C42×C5—42no—
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
312C5×#95C2311yescharacteristic
313C5×#95C2311yescharacteristic
314C5×#95C2311yescharacteristic
315C5×#95C2311yescharacteristic
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
358#2853C2×C511yescharacteristic, complemented
359#2850C2×C511yescharacteristic, complemented
360#2783C2×C511yescharacteristic, complemented
361#2779C2×C511yescharacteristic, complemented
362#2772C2×C511yescharacteristic, complemented
363#2757C2×C511yescharacteristic, complemented
364#2753C2×C511yescharacteristic, complemented
365#2744C2×C511yescharacteristic, complemented
366#2737C2×C511yescharacteristic, complemented
367#2735C2×C511yescharacteristic, complemented
368#2731C2×C511yescharacteristic, complemented
369#2701C2×C511yescharacteristic, complemented
370#2693C2×C511yescharacteristic, complemented
371#2687C2×C511yescharacteristic, complemented
372#2684C2×C511yescharacteristic, complemented
373#2684C2×C511yescharacteristic, complemented
374#2678C2×C511yescharacteristic
375#2674C2×C511yescharacteristic, complemented
376#2651C2×C511yescharacteristic, complemented
377#2650C2×C511yescharacteristic, complemented
378#2602C2×C511yescharacteristic, complemented
379#2595C2×C511yescharacteristic, complemented
380#2557C2×C511yescharacteristic, complemented
381#2534C2×C511yescharacteristic, complemented
382#2532C2×C511yescharacteristic, complemented
383#2531C2×C511yescharacteristic, complemented
384#2439C2×C511yescharacteristic, complemented
385#2411C2×C511yescharacteristic, complemented
386#2335C2×C511yescharacteristic, complemented
387#2312C2×C511yescharacteristic, complemented
388#2290C2×C511yescharacteristic, complemented
389C24×C5—22no—
390C24×C5—41no—
391C24×C5—41no—
392C24×C5—41no—
393C24×C5—41no—
394C24×C5—41no—
395C24×C5—41no—
396C24×C5C2411yescharacteristic
397C24×C5C2411yescharacteristic
398C24×C5C2411yescharacteristic
399C24×C5C2411yescharacteristic
400C24×C5C2411yescharacteristic
401C2×C5×Q8—22no—
402C2×C5×Q8—41no—
403C2×C5×Q8—41no—
404C2×C5×Q8—41no—
405C2×C5×Q8—41no—
406C2×C5×Q8—41no—
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—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×D4—41no—
428C22×C4×C5—22no—
429C22×C4×C5—22no—
430C22×C4×C5—22no—
431C22×C4×C5—22no—
432C22×C4×C5—41no—
433C22×C4×C5—41no—
434C22×C4×C5—41no—
435C22×C4×C5—41no—
436C22×C4×C5—41no—
437C22×C4×C5—41no—
438C22×C4×C5—41no—
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#4114yes—
446C22×C4×C5C2411yescharacteristic
447C22×C4×C5C2411yescharacteristic
448C22×C4×C5C2411yescharacteristic
449C22×C4×C5C2411yescharacteristic
450C22×C4×C5C2411yescharacteristic
451C22×C4×C5C2411yescharacteristic
452C22×C4×C5C2411yescharacteristic
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
472C5×C4⋊C4—22no—
473C5×C4⋊C4—22no—
474C5×C4⋊C4—22no—
475C5×C4⋊C4—22no—
476C5×C4⋊C4—22no—
477C5×C4⋊C4—41no—
478C5×C4⋊C4—41no—
479C5×C4⋊C4—41no—
480C5×C4⋊C4—41no—
481C5×C4⋊C4—41no—
482C5×C4⋊C4—41no—
483C5×C4⋊C4—41no—
484C5×C4⋊C4—41no—
485C5×C4⋊C4—41no—
486C5×C4⋊C4—41no—
487C5×C4⋊C4—41no—
488C5×C4⋊C4—41no—
489C5×C4⋊C4—41no—
490C5×C4⋊C4—41no—
491C5×C4⋊C4—41no—
492C5×C4⋊C4—41no—
493C5×C4⋊C4—41no—
494C5×C4⋊C4—41no—
495C5×C4⋊C4—41no—
496C5×C4⋊C4—41no—
497C5×C4⋊C4—41no—
498C5×C4⋊C4—41no—
499C5×C4⋊C4—41no—
500C5×C4⋊C4—41no—
501C5×C22⋊C4—22no—
502C5×C22⋊C4—22no—
503C5×C22⋊C4—22no—
504C5×C22⋊C4—22no—
505C5×C22⋊C4—22no—
506C5×C22⋊C4—22no—
507C5×C22⋊C4—22no—
508C5×C22⋊C4—22no—
509C5×C22⋊C4—22no—
510C5×C22⋊C4—22no—
511C5×C22⋊C4—22no—
512C5×C22⋊C4—22no—
513C5×C22⋊C4—22no—
514C5×C22⋊C4—22no—
515C5×C22⋊C4—22no—
516C5×C22⋊C4—41no—
517C5×C22⋊C4—41no—
518C5×C22⋊C4—41no—
519C5×C22⋊C4—41no—
520C5×C22⋊C4—41no—
521C5×C22⋊C4—41no—
522C5×C22⋊C4—41no—
523C5×C22⋊C4—41no—
524C5×C22⋊C4—41no—
525C5×C22⋊C4—41no—
526C5×C22⋊C4—41no—
527C5×C22⋊C4—41no—
528C5×C22⋊C4—41no—
529C5×C22⋊C4—41no—
530C5×C22⋊C4—41no—
531C5×C22⋊C4—41no—
532C5×C22⋊C4—41no—
533C5×C22⋊C4—41no—
534C5×C22⋊C4—41no—
535C5×C22⋊C4—41no—
536C5×C22⋊C4—41no—
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—
552C5×C22⋊C4—41no—
553C42×C5—22no—
554C42×C5—22no—
555C42×C5—22no—
556C42×C5—41no—
557C42×C5—41no—
558C42×C5—41no—
559C42×C5—41no—
560C42×C5—41no—
561C42×C5—41no—
562C42×C5—41no—
563C42×C5—41no—
564C42×C5—41no—
565C2×C4⋊Q8C22×C511yescharacteristic, complemented
566C2×#124C22×C511yescharacteristic
567C2×#124C22×C511yescharacteristic
568C2×#123C22×C511yescharacteristic
569C2×#123C22×C511yescharacteristic
570C2×#123C22×C511yescharacteristic
571C2×#123C22×C511yescharacteristic, complemented
572C2×C22⋊Q8C22×C511yescharacteristic, complemented
573C2×#121C22×C511yescharacteristic
574C2×#120C22×C511yescharacteristic
575C2×#120C22×C511yescharacteristic
576C2×C4×D4C22×C511yescharacteristic
577C2×#117C22×C511yescharacteristic
578C22×C22⋊C4C22×C511yescharacteristic
579C22×C42C22×C511yescharacteristic, complemented
580#400C22×C511yescharacteristic, complemented
581#400C22×C511yescharacteristic, complemented
582#400C22×C511yescharacteristic, complemented
583#400C22×C511yescharacteristic, complemented
584#400C22×C511yescharacteristic, complemented
585#399C22×C511yescharacteristic
586#398C22×C511yescharacteristic, complemented
587#398C22×C511yescharacteristic, complemented
588#398C22×C511yescharacteristic, complemented
589#398C22×C511yescharacteristic, complemented
590#397C22×C511yescharacteristic
591#397C22×C511yescharacteristic
592#397C22×C511yescharacteristic
593#397C22×C511yescharacteristic
594#397C22×C511yescharacteristic
595#397C22×C511yescharacteristic
596#397C22×C511yescharacteristic
597#397C22×C511yescharacteristic
598#397C22×C511yescharacteristic, complemented
599#397C22×C511yescharacteristic, complemented
600#397C22×C511yescharacteristic, complemented
601#397C22×C511yescharacteristic, complemented
602#396C22×C511yescharacteristic
603#396C22×C511yescharacteristic
604#396C22×C511yescharacteristic
605#396C22×C511yescharacteristic
606#396C22×C511yescharacteristic
607#396C22×C511yescharacteristic
608#396C22×C511yescharacteristic
609#396C22×C511yescharacteristic, complemented
610#395C22×C511yescharacteristic, complemented
611#394C22×C511yescharacteristic
612#394C22×C511yescharacteristic
613#394C22×C511yescharacteristic
614#394C22×C511yescharacteristic
615#394C22×C511yescharacteristic
616#394C22×C511yescharacteristic
617#394C22×C511yescharacteristic
618#394C22×C511yescharacteristic
619#394C22×C511yescharacteristic
620#394C22×C511yescharacteristic
621#393C22×C511yescharacteristic
622#393C22×C511yescharacteristic
623#393C22×C511yescharacteristic
624#393C22×C511yescharacteristic
625#393C22×C511yescharacteristic, complemented
626#392C22×C511yescharacteristic
627#392C22×C511yescharacteristic
628#391C22×C511yescharacteristic, complemented
629#391C22×C511yescharacteristic, complemented
630#391C22×C511yescharacteristic, complemented
631#390C22×C511yescharacteristic
632#390C22×C511yescharacteristic
633#390C22×C511yescharacteristic
634#390C22×C511yescharacteristic
635#390C22×C511yescharacteristic, complemented
636#389C22×C511yescharacteristic, complemented
637#389C22×C511yescharacteristic, complemented
638#389C22×C511yescharacteristic, complemented
639#389C22×C511yescharacteristic, complemented
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#388C22×C511yescharacteristic
661#388C22×C511yescharacteristic
662#388C22×C511yescharacteristic
663#388C22×C511yescharacteristic, complemented
664#388C22×C511yescharacteristic, complemented
665#388C22×C511yescharacteristic, complemented
666#388C22×C511yescharacteristic, complemented
667#388C22×C511yescharacteristic, complemented
668#388C22×C511yescharacteristic, complemented
669#388C22×C511yescharacteristic, complemented
670#387C22×C511yescharacteristic, complemented
671#387C22×C511yescharacteristic, complemented
672#387C22×C511yescharacteristic, complemented
673#387C22×C511yescharacteristic, complemented
674#387C22×C511yescharacteristic, complemented
675#387C22×C511yescharacteristic, complemented
676#387C22×C511yescharacteristic, complemented
677#387C22×C511yescharacteristic, complemented
678#387C22×C511yescharacteristic, complemented
679#387C22×C511yescharacteristic, complemented
680#387C22×C511yescharacteristic, complemented
681#387C22×C511yescharacteristic, complemented
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, complemented
693#386C22×C511yescharacteristic, complemented
694#385C22×C511yescharacteristic
695#385C22×C511yescharacteristic, complemented
696#385C22×C511yescharacteristic, complemented
697#385C22×C511yescharacteristic, complemented
698#385C22×C511yescharacteristic, complemented
699#385C22×C511yescharacteristic, complemented
700#383C22×C511yescharacteristic, complemented
701#382C22×C511yescharacteristic, complemented
702#382C22×C511yescharacteristic, complemented
703#381C22×C511yescharacteristic
704#381C22×C511yescharacteristic, complemented
705#380C22×C511yescharacteristic
706#380C22×C511yescharacteristic
707#380C22×C511yescharacteristic
708#380C22×C511yescharacteristic, complemented
709#379C22×C511yescharacteristic
710#379C22×C511yescharacteristic
711#379C22×C511yescharacteristic
712#379C22×C511yescharacteristic
713C4×C4⋊C4C22×C511yescharacteristic, complemented
714C4×C4⋊C4C22×C511yescharacteristic, complemented
715C4×C22⋊C4C22×C511yescharacteristic
716C4×C22⋊C4C22×C511yescharacteristic
717C4×C22⋊C4C22×C511yescharacteristic, complemented
718C4×C22⋊C4C22×C511yescharacteristic, complemented
719#376C22×C511yescharacteristic, complemented
720C23×C5—21no—
721C23×C5—21no—
722C23×C5—21no—
723C23×C5—21no—
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×C5—21no—
750C23×C5—21no—
751C23×C5—21no—
752C23×C5—21no—
753C23×C5—44no—
754C23×C5—82no—
755C23×C5—82no—
756C23×C5—82no—
757C23×C5—82no—
758C23×C5—82no—
759C23×C5—82no—
760C23×C5C2×#4112yes—
761C23×C5H(5,𝔽2)12yes—
762C23×C5C2511yescharacteristic
763C5×Q8—82no—
764C5×Q8—82no—
765C5×D4—44no—
766C5×D4—82no—
767C5×D4—82no—
768C5×D4—82no—
769C5×D4—82no—
770C5×D4—82no—
771C5×D4—82no—
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—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—44no—
848C2×C4×C5—44no—
849C2×C4×C5—44no—
850C2×C4×C5—44no—
851C2×C4×C5—82no—
852C2×C4×C5—82no—
853C2×C4×C5C2×#4112yes—
854C2×C4×C5C2×#4112yes—
855C2×C4×C5H(5,𝔽2)12yes—
856C25C23×C511yescharacteristic
857C22×Q8C23×C511yescharacteristic
858C22×Q8C23×C511yescharacteristic
859C22×D4C23×C511yescharacteristic
860C22×D4C23×C511yescharacteristic
861C22×D4C23×C511yescharacteristic
862C22×D4C23×C511yescharacteristic
863C22×D4C23×C511yescharacteristic
864C22×D4C23×C511yescharacteristic
865C22×D4C23×C511yescharacteristic
866C23×C4C23×C511yescharacteristic
867C23×C4C23×C511yescharacteristic
868C23×C4C23×C511yescharacteristic
869C23×C4C23×C511yescharacteristic
870C23×C4C23×C511yescharacteristic
871C23×C4C23×C511yescharacteristic
872C4⋊Q8—42no—
873#124—42no—
874#124—42no—
875#123—24no—
876#123—42no—
877#123—42no—
878#123—42no—
879C22⋊Q8—42no—
880#121—42no—
881#120—42no—
882#120—42no—
883C4×D4—24no—
884#117—42no—
885C2×C4⋊C4C23×C511yescharacteristic
886C2×C4⋊C4C23×C511yescharacteristic
887C2×C4⋊C4C23×C511yescharacteristic
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×C22⋊C4—24no—
915C2×C22⋊C4C23×C511yescharacteristic
916C2×C22⋊C4C23×C511yescharacteristic
917C2×C22⋊C4C23×C511yescharacteristic
918C2×C22⋊C4C23×C511yescharacteristic
919C2×C22⋊C4C23×C511yescharacteristic
920C2×C22⋊C4C23×C511yescharacteristic
921C2×C22⋊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×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×C42—42no—
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
1026C22×C5—22no—
1027C22×C5—22no—
1028C22×C5—22no—
1029C22×C5—22no—
1030C22×C5—22no—
1031C22×C5—22no—
1032C22×C5—41no—
1033C22×C5—41no—
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—41no—
1056C22×C5—41no—
1057C22×C5—41no—
1058C22×C5—41no—
1059C22×C5—41no—
1060C22×C5—41no—
1061C22×C5—88no—
1062C22×C5C22×#4111yescharacteristic
1063C22×C5C2×H(5,𝔽2)11yescharacteristic
1064C22×C5C2×H(5,𝔽2)11yescharacteristic
1065C22×C5#58511yescharacteristic
1066C22×C5#58511yescharacteristic
1067C22×C5#58511yescharacteristic
1068C22×C5#58511yescharacteristic
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—
1090C4×C5—41no—
1091C4×C5—41no—
1092C4×C5—41no—
1093C4×C5—41no—
1094C4×C5—41no—
1095C24—22no—
1096C24—41no—
1097C24—41no—
1098C24—41no—
1099C24—41no—
1100C24—41no—
1101C24—41no—
1102C24C24×C511yescharacteristic
1103C24C24×C511yescharacteristic
1104C24C24×C511yescharacteristic
1105C24C24×C511yescharacteristic
1106C24C24×C511yescharacteristic
1107C2×Q8—22no—
1108C2×Q8—41no—
1109C2×Q8—41no—
1110C2×Q8—41no—
1111C2×Q8—41no—
1112C2×Q8—41no—
1113C2×D4—22no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—22no—
1119C2×D4—22no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
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×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4C5×#4114yes—
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
1175C22×C4C24×C511yescharacteristic
1176C22×C4C24×C511yescharacteristic
1177C22×C4C24×C511yescharacteristic
1178C4⋊C4—22no—
1179C4⋊C4—22no—
1180C4⋊C4—22no—
1181C4⋊C4—22no—
1182C4⋊C4—22no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
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—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
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—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
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—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C42—22no—
1260C42—22no—
1261C42—22no—
1262C42—41no—
1263C42—41no—
1264C42—41no—
1265C42—41no—
1266C42—41no—
1267C42—41no—
1268C42—41no—
1269C42—41no—
1270C42—41no—
1271C2×C5—42no—
1272C2×C5—42no—
1273C2×C5—81no—
1274C2×C5—81no—
1275C2×C5—81no—
1276C2×C5#345511yescharacteristic
1277C2×C5#349411yescharacteristic
1278C2×C5#350511yescharacteristic
1279C2×C5#353411yescharacteristic
1280C2×C5#354011yescharacteristic
1281C2×C5#354511yescharacteristic
1282C2×C5#356611yescharacteristic
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—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—44no—
1317C23—82no—
1318C23—82no—
1319C23—82no—
1320C23—82no—
1321C23—82no—
1322C23—82no—
1323C23C2×C5×#4112yes—
1324C23C5×H(5,𝔽2)12yes—
1325C23C25×C511yescharacteristic
1326Q8—82no—
1327Q8—82no—
1328D4—44no—
1329D4—82no—
1330D4—82no—
1331D4—82no—
1332D4—82no—
1333D4—82no—
1334D4—82no—
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—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—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—82no—
1415C2×C4—82no—
1416C2×C4C2×C5×#4112yes—
1417C2×C4C2×C5×#4112yes—
1418C2×C4C5×H(5,𝔽2)12yes—
1419C5#3678411yescharacteristic, direct product factor, Sylow
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—88no—
1456C22C22×C5×#4111yescharacteristic
1457C22C2×C5×H(5,𝔽2)11yescharacteristic
1458C22C2×C5×H(5,𝔽2)11yescharacteristic
1459C22C5×#58511yescharacteristic
1460C22C5×#58511yescharacteristic
1461C22C5×#58511yescharacteristic
1462C22C5×#58511yescharacteristic
1463C4—22no—
1464C4—22no—
1465C4—22no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C2—42no—
1490C2—42no—
1491C2—81no—
1492C2—81no—
1493C2—81no—
1494C2C5×#345511yescharacteristic
1495C2C5×#349411yescharacteristic
1496C2C5×#350511yescharacteristic
1497C2C5×#353411yescharacteristic
1498C2C5×#354011yescharacteristic
1499C2C5×#354511yescharacteristic
1500C2C5×#356611yescharacteristic
subgroupG/H
center, socleC23×C5C25
commutator, Frattini, cosocleC23C25×C5
prime radicalC5×#2678C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C5 ◁ G

Complements

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

NH ≅ G/Ntype
1. C5×#2853C2semidirect
2. C5×#2850C2semidirect
3. C5×#2783C2semidirect
4. C5×#2779C2semidirect
5. C5×#2772C2semidirect
6. C5×#2757C2semidirect
7. C5×#2753C2semidirect
8. C5×#2744C2semidirect
9. C5×#2737C2semidirect
10. C5×#2735C2semidirect
11. C5×#2731C2semidirect
12. C5×#2701C2semidirect
13. C5×#2693C2semidirect
14. C5×#2687C2semidirect
15. C5×#2684C2semidirect
16. C5×#2684C2semidirect
18. C5×#2674C2semidirect
19. C5×#2651C2semidirect
20. C5×#2650C2semidirect
21. C5×#2602C2semidirect
22. C5×#2595C2semidirect
23. C5×#2557C2semidirect
24. C5×#2534C2semidirect
25. C5×#2532C2semidirect
26. C5×#2531C2semidirect
27. C5×#2439C2semidirect
28. C5×#2411C2semidirect
29. C5×#2335C2semidirect
30. C5×#2312C2semidirect
31. C5×#2290C2semidirect
32. C2×C5×C4⋊Q8C22semidirect
38. C2×C5×#123C22semidirect
39. C2×C5×C22⋊Q8C22semidirect
46. C22×C42×C5C22semidirect
47. C5×#400C22semidirect
48. C5×#400C22semidirect
49. C5×#400C22semidirect
50. C5×#400C22semidirect
51. C5×#400C22semidirect
53. C5×#398C22semidirect
54. C5×#398C22semidirect
55. C5×#398C22semidirect
56. C5×#398C22semidirect
65. C5×#397C22semidirect
66. C5×#397C22semidirect
67. C5×#397C22semidirect
68. C5×#397C22semidirect
76. C5×#396C22semidirect
77. C5×#395C22semidirect
92. C5×#393C22semidirect
95. C5×#391C22semidirect
96. C5×#391C22semidirect
97. C5×#391C22semidirect
102. C5×#390C22semidirect
103. C5×#389C22semidirect
104. C5×#389C22semidirect
105. C5×#389C22semidirect
106. C5×#389C22semidirect
130. C5×#388C22semidirect
131. C5×#388C22semidirect
132. C5×#388C22semidirect
133. C5×#388C22semidirect
134. C5×#388C22semidirect
135. C5×#388C22semidirect
136. C5×#388C22semidirect
137. C5×#387C22semidirect
138. C5×#387C22semidirect
139. C5×#387C22semidirect
140. C5×#387C22semidirect
141. C5×#387C22semidirect
142. C5×#387C22semidirect
143. C5×#387C22semidirect
144. C5×#387C22semidirect
145. C5×#387C22semidirect
146. C5×#387C22semidirect
147. C5×#387C22semidirect
148. C5×#387C22semidirect
159. C5×#386C22semidirect
160. C5×#386C22semidirect
162. C5×#385C22semidirect
163. C5×#385C22semidirect
164. C5×#385C22semidirect
165. C5×#385C22semidirect
166. C5×#385C22semidirect
167. C5×#383C22semidirect
168. C5×#382C22semidirect
169. C5×#382C22semidirect
171. C5×#381C22semidirect
175. C5×#380C22semidirect
180. C4×C5×C4⋊C4C22semidirect
181. C4×C5×C4⋊C4C22semidirect
184. C4×C5×C22⋊C4C22semidirect
185. C4×C5×C22⋊C4C22semidirect
186. C5×#376C22semidirect
187. #36784C5direct (N × H)
358. #2853C2×C5semidirect
359. #2850C2×C5semidirect
360. #2783C2×C5semidirect
361. #2779C2×C5semidirect
362. #2772C2×C5semidirect
363. #2757C2×C5semidirect
364. #2753C2×C5semidirect
365. #2744C2×C5semidirect
366. #2737C2×C5semidirect
367. #2735C2×C5semidirect
368. #2731C2×C5semidirect
369. #2701C2×C5semidirect
370. #2693C2×C5semidirect
371. #2687C2×C5semidirect
372. #2684C2×C5semidirect
373. #2684C2×C5semidirect
375. #2674C2×C5semidirect
376. #2651C2×C5semidirect
377. #2650C2×C5semidirect
378. #2602C2×C5semidirect
379. #2595C2×C5semidirect
380. #2557C2×C5semidirect
381. #2534C2×C5semidirect
382. #2532C2×C5semidirect
383. #2531C2×C5semidirect
384. #2439C2×C5semidirect
385. #2411C2×C5semidirect
386. #2335C2×C5semidirect
387. #2312C2×C5semidirect
388. #2290C2×C5semidirect
565. C2×C4⋊Q8C22×C5semidirect
571. C2×#123C22×C5semidirect
572. C2×C22⋊Q8C22×C5semidirect
579. C22×C42C22×C5semidirect
580. #400C22×C5semidirect
581. #400C22×C5semidirect
582. #400C22×C5semidirect
583. #400C22×C5semidirect
584. #400C22×C5semidirect
586. #398C22×C5semidirect
587. #398C22×C5semidirect
588. #398C22×C5semidirect
589. #398C22×C5semidirect
598. #397C22×C5semidirect
599. #397C22×C5semidirect
600. #397C22×C5semidirect
601. #397C22×C5semidirect
609. #396C22×C5semidirect
610. #395C22×C5semidirect
625. #393C22×C5semidirect
628. #391C22×C5semidirect
629. #391C22×C5semidirect
630. #391C22×C5semidirect
635. #390C22×C5semidirect
636. #389C22×C5semidirect
637. #389C22×C5semidirect
638. #389C22×C5semidirect
639. #389C22×C5semidirect
663. #388C22×C5semidirect
664. #388C22×C5semidirect
665. #388C22×C5semidirect
666. #388C22×C5semidirect
667. #388C22×C5semidirect
668. #388C22×C5semidirect
669. #388C22×C5semidirect
670. #387C22×C5semidirect
671. #387C22×C5semidirect
672. #387C22×C5semidirect
673. #387C22×C5semidirect
674. #387C22×C5semidirect
675. #387C22×C5semidirect
676. #387C22×C5semidirect
677. #387C22×C5semidirect
678. #387C22×C5semidirect
679. #387C22×C5semidirect
680. #387C22×C5semidirect
681. #387C22×C5semidirect
692. #386C22×C5semidirect
693. #386C22×C5semidirect
695. #385C22×C5semidirect
696. #385C22×C5semidirect
697. #385C22×C5semidirect
698. #385C22×C5semidirect
699. #385C22×C5semidirect
700. #383C22×C5semidirect
701. #382C22×C5semidirect
702. #382C22×C5semidirect
704. #381C22×C5semidirect
708. #380C22×C5semidirect
713. C4×C4⋊C4C22×C5semidirect
714. C4×C4⋊C4C22×C5semidirect
717. C4×C22⋊C4C22×C5semidirect
718. C4×C22⋊C4C22×C5semidirect
719. #376C22×C5semidirect
1419. C5#36784direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#28532
C5×#28502
C5×#27832
C5×#27792
C5×#27722
C5×#27572
C5×#27532
C5×#27442
C5×#27372
C5×#27352
C5×#27312
C5×#27012
C5×#26932
C5×#26872
C5×#26842
C5×#26782
C5×#26742
C5×#26512
C5×#26502
C5×#26022
C5×#25952
C5×#25572
C5×#25342
C5×#25322
C5×#25312
C5×#24392
C5×#24112
C5×#23352
C5×#23122
C5×#22902
#367845