Finite Group Databasebeta

← C5×#36778 #11959498

Subgroups — C5×#36778 #11959498

Order 1280.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2849C211yesmaximal, characteristic
2C5×#2848C211yesmaximal, characteristic, complemented
3C5×#2790C211yesmaximal, characteristic, complemented
4C5×#2779C211yesmaximal, characteristic, complemented
5C5×#2770C211yesmaximal, characteristic, complemented
6C5×#2765C211yesmaximal, characteristic, complemented
7C5×#2764C211yesmaximal, characteristic, complemented
8C5×#2763C211yesmaximal, characteristic, complemented
9C5×#2757C211yesmaximal, characteristic, complemented
10C5×#2746C211yesmaximal, characteristic, complemented
11C5×#2739C211yesmaximal, characteristic, complemented
12C5×#2729C211yesmaximal, characteristic, complemented
13C5×#2718C211yesmaximal, characteristic, complemented
14C5×#2717C211yesmaximal, characteristic, complemented
15C5×#2698C211yesmaximal, characteristic, complemented
16C5×#2692C211yesmaximal, characteristic, complemented
17C5×#2687C211yesmaximal, characteristic, complemented
18C5×#2674C211yesmaximal, characteristic, complemented
19C5×#2627C211yesmaximal, characteristic, complemented
20C5×#2623C211yesmaximal, characteristic, complemented
21C5×#2561C211yesmaximal, characteristic, complemented
22C5×#2534C211yesmaximal, characteristic
23C5×#2493C211yesmaximal, characteristic, complemented
24C5×#2488C211yesmaximal, characteristic, complemented
25C5×#2480C211yesmaximal, characteristic, complemented
26C5×#2472C211yesmaximal, characteristic
27C5×#2440C211yesmaximal, characteristic, complemented
28C5×#2417C211yesmaximal, characteristic, complemented
29C5×#2329C211yesmaximal, characteristic, complemented
30C5×#2318C211yesmaximal, characteristic, complemented
31C2×C5×#385C211yesmaximal, characteristic, complemented
32C24×C4×C5C2211yescharacteristic
33C2×C5×C4⋊Q8C2211yescharacteristic, complemented
34C2×C5×#126C2211yescharacteristic
35C2×C5×#124C2211yescharacteristic
36C2×C5×#123C2211yescharacteristic
37C2×C5×#123C2211yescharacteristic
38C2×C5×#123C2211yescharacteristic
39C2×C5×C22⋊Q8C2211yescharacteristic
40C2×C5×C22⋊Q8C2211yescharacteristic
41C2×C5×C22⋊Q8C2211yescharacteristic
42C2×C5×C22⋊Q8C2211yescharacteristic
43C2×C5×C22⋊Q8C2211yescharacteristic
44C2×C5×C22⋊Q8C2211yescharacteristic, complemented
45C2×C5×#120C2211yescharacteristic
46C2×C4×C5×D4C2211yescharacteristic
47C22×C5×C4⋊C4C2211yescharacteristic
48C22×C5×C4⋊C4C2211yescharacteristic
49C22×C5×C22⋊C4C2211yescharacteristic
50C22×C5×C22⋊C4C2211yescharacteristic
51C5×#401C2211yescharacteristic, complemented
52C5×#400C2211yescharacteristic, complemented
53C5×#400C2211yescharacteristic, complemented
54C5×#400C2211yescharacteristic, complemented
55C5×#400C2211yescharacteristic, complemented
56C5×#400C2211yescharacteristic, complemented
57C5×#400C2211yescharacteristic, complemented
58C5×#400C2211yescharacteristic, complemented
59C5×#400C2211yescharacteristic, complemented
60C5×#400C2211yescharacteristic, complemented
61C5×#399C2211yescharacteristic, complemented
62C5×#399C2211yescharacteristic, complemented
63C5×#398C2211yescharacteristic, complemented
64C5×#398C2211yescharacteristic, complemented
65C5×#398C2211yescharacteristic, complemented
66C5×#398C2211yescharacteristic, complemented
67C5×#398C2211yescharacteristic, complemented
68C5×#398C2211yescharacteristic, complemented
69C5×#398C2211yescharacteristic, complemented
70C5×#398C2211yescharacteristic, complemented
71C5×#398C2211yescharacteristic, complemented
72C5×#398C2211yescharacteristic, complemented
73C5×#397C2211yescharacteristic
74C5×#397C2211yescharacteristic
75C5×#397C2211yescharacteristic
76C5×#397C2211yescharacteristic
77C5×#397C2211yescharacteristic
78C5×#397C2211yescharacteristic
79C5×#397C2211yescharacteristic, complemented
80C5×#397C2211yescharacteristic, complemented
81C5×#397C2211yescharacteristic, complemented
82C5×#396C2211yescharacteristic
83C5×#396C2211yescharacteristic
84C5×#396C2211yescharacteristic
85C5×#396C2211yescharacteristic, complemented
86C5×#396C2211yescharacteristic, complemented
87C5×#395C2211yescharacteristic, complemented
88C5×#395C2211yescharacteristic, complemented
89C5×#395C2211yescharacteristic, complemented
90C5×#395C2211yescharacteristic, complemented
91C5×#394C2211yescharacteristic
92C5×#394C2211yescharacteristic
93C5×#394C2211yescharacteristic
94C5×#394C2211yescharacteristic
95C5×#393C2211yescharacteristic
96C5×#393C2211yescharacteristic
97C5×#393C2211yescharacteristic
98C5×#393C2211yescharacteristic, complemented
99C5×#391C2211yescharacteristic, complemented
100C5×#391C2211yescharacteristic, complemented
101C5×#391C2211yescharacteristic, complemented
102C5×#391C2211yescharacteristic, complemented
103C5×#390C2211yescharacteristic
104C5×#389C2211yescharacteristic, complemented
105C5×#389C2211yescharacteristic, complemented
106C5×#389C2211yescharacteristic, complemented
107C5×#389C2211yescharacteristic, complemented
108C5×#389C2211yescharacteristic, complemented
109C5×#388C2211yescharacteristic
110C5×#388C2211yescharacteristic
111C5×#388C2211yescharacteristic
112C5×#388C2211yescharacteristic
113C5×#388C2211yescharacteristic
114C5×#388C2211yescharacteristic
115C5×#388C2211yescharacteristic
116C5×#388C2211yescharacteristic
117C5×#388C2211yescharacteristic
118C5×#388C2211yescharacteristic
119C5×#388C2211yescharacteristic
120C5×#388C2211yescharacteristic, complemented
121C5×#388C2211yescharacteristic, complemented
122C5×#388C2211yescharacteristic, complemented
123C5×#388C2211yescharacteristic, complemented
124C5×#387C2211yescharacteristic, complemented
125C5×#387C2211yescharacteristic, complemented
126C5×#387C2211yescharacteristic, complemented
127C5×#387C2211yescharacteristic, complemented
128C5×#387C2211yescharacteristic, complemented
129C5×#387C2211yescharacteristic, complemented
130C5×#387C2211yescharacteristic, complemented
131C5×#387C2211yescharacteristic, complemented
132C5×#387C2211yescharacteristic, complemented
133C5×#386C2211yescharacteristic
134C5×#386C2211yescharacteristic
135C5×#386C2211yescharacteristic
136C5×#386C2211yescharacteristic
137C5×#386C2211yescharacteristic
138C5×#386C2211yescharacteristic
139C5×#386C2211yescharacteristic
140C5×#386C2211yescharacteristic
141C5×#385C2211yescharacteristic
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
155C5×#385C2211yescharacteristic
156C5×#385C2211yescharacteristic
157C5×#385C2211yescharacteristic
158C5×#385C2211yescharacteristic
159C5×#385C2211yescharacteristic
160C5×#385C2211yescharacteristic
161C5×#384C2211yescharacteristic, complemented
162C5×#383C2211yescharacteristic, complemented
163C5×#383C2211yescharacteristic, complemented
164C5×#382C2211yescharacteristic, complemented
165C5×#382C2211yescharacteristic, complemented
166C5×#381C2211yescharacteristic
167C5×#381C2211yescharacteristic
168C5×#381C2211yescharacteristic
169C5×#381C2211yescharacteristic
170C5×#381C2211yescharacteristic
171C5×#381C2211yescharacteristic, complemented
172C5×#380C2211yescharacteristic
173C5×#380C2211yescharacteristic
174C5×#380C2211yescharacteristic
175C5×#380C2211yescharacteristic
176C5×#380C2211yescharacteristic
177C5×#380C2211yescharacteristic, complemented
178C5×#380C2211yescharacteristic, complemented
179C5×#379C2211yescharacteristic
180C5×#379C2211yescharacteristic
181C5×#379C2211yescharacteristic
182C4×C5×C22⋊C4C2211yescharacteristic
183C4×C5×C22⋊C4C2211yescharacteristic
184C4×C5×C22⋊C4C2211yescharacteristic
185C2×C5×#95C2211yescharacteristic
186C2×C5×#95C2211yescharacteristic
187#36778C511yesmaximal, characteristic, direct product factor, Sylow
188C25×C5C2311yescharacteristic
189C22×C5×Q8C2311yescharacteristic
190C22×C5×Q8C2311yescharacteristic
191C22×C5×Q8C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C23×C4×C5—42no—
196C23×C4×C5—42no—
197C23×C4×C5—42no—
198C23×C4×C5C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
201C23×C4×C5C2311yescharacteristic
202C23×C4×C5C2311yescharacteristic
203C23×C4×C5C2311yescharacteristic
204C23×C4×C5C2311yescharacteristic
205C23×C4×C5C2311yescharacteristic
206C23×C4×C5C2311yescharacteristic
207C23×C4×C5C2311yescharacteristic
208C23×C4×C5C2311yescharacteristic
209C5×C4⋊Q8—42no—
210C5×#126—42no—
211C5×#124—42no—
212C5×#123—42no—
213C5×#123—42no—
214C5×#123—42no—
215C5×C22⋊Q8—24no—
216C5×C22⋊Q8—42no—
217C5×C22⋊Q8—42no—
218C5×C22⋊Q8—42no—
219C5×C22⋊Q8—42no—
220C5×C22⋊Q8—42no—
221C5×#120—42no—
222C4×C5×D4—24no—
223C2×C5×C4⋊C4—42no—
224C2×C5×C4⋊C4—42no—
225C2×C5×C4⋊C4C2311yescharacteristic
226C2×C5×C4⋊C4C2311yescharacteristic
227C2×C5×C4⋊C4C2311yescharacteristic
228C2×C5×C4⋊C4C2311yescharacteristic
229C2×C5×C4⋊C4C2311yescharacteristic
230C2×C5×C4⋊C4C2311yescharacteristic
231C2×C5×C4⋊C4C2311yescharacteristic
232C2×C5×C4⋊C4C2311yescharacteristic
233C2×C5×C4⋊C4C2311yescharacteristic
234C2×C5×C4⋊C4C2311yescharacteristic
235C2×C5×C4⋊C4C2311yescharacteristic
236C2×C5×C4⋊C4C2311yescharacteristic
237C2×C5×C4⋊C4C2311yescharacteristic
238C2×C5×C4⋊C4C2311yescharacteristic
239C2×C5×C4⋊C4C2311yescharacteristic
240C2×C5×C4⋊C4C2311yescharacteristic
241C2×C5×C4⋊C4C2311yescharacteristic
242C2×C5×C4⋊C4C2311yescharacteristic
243C2×C5×C4⋊C4C2311yescharacteristic
244C2×C5×C4⋊C4C2311yescharacteristic
245C2×C5×C4⋊C4C2311yescharacteristic
246C2×C5×C4⋊C4C2311yescharacteristic
247C2×C5×C4⋊C4C2311yescharacteristic
248C2×C5×C4⋊C4C2311yescharacteristic
249C2×C5×C4⋊C4C2311yescharacteristic
250C2×C5×C4⋊C4C2311yescharacteristic
251C2×C5×C4⋊C4C2311yescharacteristic
252C2×C5×C4⋊C4C2311yescharacteristic
253C2×C5×C4⋊C4C2311yescharacteristic
254C2×C5×C4⋊C4C2311yescharacteristic
255C2×C5×C4⋊C4C2311yescharacteristic
256C2×C5×C4⋊C4C2311yescharacteristic
257C2×C5×C4⋊C4C2311yescharacteristic
258C2×C5×C4⋊C4C2311yescharacteristic
259C2×C5×C4⋊C4C2311yescharacteristic
260C2×C5×C4⋊C4C2311yescharacteristic
261C2×C5×C4⋊C4C2311yescharacteristic
262C2×C5×C4⋊C4C2311yescharacteristic
263C2×C5×C22⋊C4—24no—
264C2×C5×C22⋊C4—42no—
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×C5×C22⋊C4C2311yescharacteristic
301C2×C5×C22⋊C4C2311yescharacteristic
302C2×C5×C22⋊C4C2311yescharacteristic
303C2×C5×C22⋊C4C2311yescharacteristic
304C2×C5×C22⋊C4C2311yescharacteristic
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
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362C5×#95C2311yescharacteristic
363C5×#95C2311yescharacteristic
364#2849C2×C511yescharacteristic
365#2848C2×C511yescharacteristic, complemented
366#2790C2×C511yescharacteristic, complemented
367#2779C2×C511yescharacteristic, complemented
368#2770C2×C511yescharacteristic, complemented
369#2765C2×C511yescharacteristic, complemented
370#2764C2×C511yescharacteristic, complemented
371#2763C2×C511yescharacteristic, complemented
372#2757C2×C511yescharacteristic, complemented
373#2746C2×C511yescharacteristic, complemented
374#2739C2×C511yescharacteristic, complemented
375#2729C2×C511yescharacteristic, complemented
376#2718C2×C511yescharacteristic, complemented
377#2717C2×C511yescharacteristic, complemented
378#2698C2×C511yescharacteristic, complemented
379#2692C2×C511yescharacteristic, complemented
380#2687C2×C511yescharacteristic, complemented
381#2674C2×C511yescharacteristic, complemented
382#2627C2×C511yescharacteristic, complemented
383#2623C2×C511yescharacteristic, complemented
384#2561C2×C511yescharacteristic, complemented
385#2534C2×C511yescharacteristic
386#2493C2×C511yescharacteristic, complemented
387#2488C2×C511yescharacteristic, complemented
388#2480C2×C511yescharacteristic, complemented
389#2472C2×C511yescharacteristic
390#2440C2×C511yescharacteristic, complemented
391#2417C2×C511yescharacteristic, complemented
392#2329C2×C511yescharacteristic, complemented
393#2318C2×C511yescharacteristic, complemented
394C2×#385C2×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
406C2×C5×Q8—22no—
407C2×C5×Q8—22no—
408C2×C5×Q8—41no—
409C2×C5×Q8—41no—
410C2×C5×Q8—41no—
411C2×C5×Q8—41no—
412C2×C5×Q8—41no—
413C2×C5×Q8—41no—
414C2×C5×Q8—41no—
415C2×C5×D4—22no—
416C2×C5×D4—22no—
417C2×C5×D4—22no—
418C2×C5×D4—22no—
419C2×C5×D4—22no—
420C2×C5×D4—41no—
421C2×C5×D4—41no—
422C2×C5×D4—41no—
423C2×C5×D4—41no—
424C22×C4×C5—22no—
425C22×C4×C5—22no—
426C22×C4×C5—22no—
427C22×C4×C5—22no—
428C22×C4×C5—22no—
429C22×C4×C5—22no—
430C22×C4×C5—22no—
431C22×C4×C5—22no—
432C22×C4×C5—22no—
433C22×C4×C5—22no—
434C22×C4×C5—22no—
435C22×C4×C5—22no—
436C22×C4×C5—22no—
437C22×C4×C5—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—41no—
446C22×C4×C5—41no—
447C22×C4×C5—41no—
448C22×C4×C5—41no—
449C22×C4×C5—41no—
450C22×C4×C5—41no—
451C22×C4×C5—41no—
452C22×C4×C5—41no—
453C22×C4×C5—41no—
454C22×C4×C5—41no—
455C22×C4×C5—41no—
456C22×C4×C5—416no—
457C22×C4×C5#4114yes—
458C22×C4×C5C2411yescharacteristic
459C22×C4×C5C2411yescharacteristic
460C22×C4×C5C2411yescharacteristic
461C22×C4×C5C2411yescharacteristic
462C22×C4×C5C2411yescharacteristic
463C22×C4×C5C2411yescharacteristic
464C22×C4×C5C2411yescharacteristic
465C22×C4×C5C2411yescharacteristic
466C22×C4×C5C2411yescharacteristic
467C22×C4×C5C2411yescharacteristic
468C22×C4×C5C2411yescharacteristic
469C22×C4×C5C2411yescharacteristic
470C22×C4×C5C2411yescharacteristic
471C22×C4×C5C2411yescharacteristic
472C22×C4×C5C2411yescharacteristic
473C22×C4×C5C2411yescharacteristic
474C22×C4×C5C2411yescharacteristic
475C22×C4×C5C2411yescharacteristic
476C22×C4×C5C2411yescharacteristic
477C22×C4×C5C2411yescharacteristic
478C22×C4×C5C2411yescharacteristic
479C22×C4×C5C2411yescharacteristic
480C22×C4×C5C2411yescharacteristic
481C22×C4×C5C2411yescharacteristic
482C22×C4×C5C2411yescharacteristic
483C22×C4×C5C2411yescharacteristic
484C22×C4×C5C2411yescharacteristic
485C5×C4⋊C4—22no—
486C5×C4⋊C4—22no—
487C5×C4⋊C4—22no—
488C5×C4⋊C4—22no—
489C5×C4⋊C4—22no—
490C5×C4⋊C4—22no—
491C5×C4⋊C4—22no—
492C5×C4⋊C4—22no—
493C5×C4⋊C4—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×C4⋊C4—41no—
502C5×C4⋊C4—41no—
503C5×C4⋊C4—41no—
504C5×C4⋊C4—41no—
505C5×C4⋊C4—41no—
506C5×C4⋊C4—41no—
507C5×C4⋊C4—41no—
508C5×C4⋊C4—41no—
509C5×C4⋊C4—41no—
510C5×C4⋊C4—41no—
511C5×C4⋊C4—41no—
512C5×C4⋊C4—41no—
513C5×C4⋊C4—41no—
514C5×C4⋊C4—41no—
515C5×C4⋊C4—41no—
516C5×C4⋊C4—41no—
517C5×C4⋊C4—41no—
518C5×C4⋊C4—41no—
519C5×C4⋊C4—41no—
520C5×C4⋊C4—41no—
521C5×C4⋊C4—41no—
522C5×C4⋊C4—41no—
523C5×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—
563C42×C5—22no—
564C42×C5—41no—
565C42×C5—41no—
566C42×C5—41no—
567C42×C5—41no—
568C42×C5—41no—
569C42×C5—41no—
570C24×C4C22×C511yescharacteristic
571C2×C4⋊Q8C22×C511yescharacteristic, complemented
572C2×#126C22×C511yescharacteristic
573C2×#124C22×C511yescharacteristic
574C2×#123C22×C511yescharacteristic
575C2×#123C22×C511yescharacteristic
576C2×#123C22×C511yescharacteristic
577C2×C22⋊Q8C22×C511yescharacteristic
578C2×C22⋊Q8C22×C511yescharacteristic
579C2×C22⋊Q8C22×C511yescharacteristic
580C2×C22⋊Q8C22×C511yescharacteristic
581C2×C22⋊Q8C22×C511yescharacteristic
582C2×C22⋊Q8C22×C511yescharacteristic, complemented
583C2×#120C22×C511yescharacteristic
584C2×C4×D4C22×C511yescharacteristic
585C22×C4⋊C4C22×C511yescharacteristic
586C22×C4⋊C4C22×C511yescharacteristic
587C22×C22⋊C4C22×C511yescharacteristic
588C22×C22⋊C4C22×C511yescharacteristic
589#401C22×C511yescharacteristic, complemented
590#400C22×C511yescharacteristic, complemented
591#400C22×C511yescharacteristic, complemented
592#400C22×C511yescharacteristic, complemented
593#400C22×C511yescharacteristic, complemented
594#400C22×C511yescharacteristic, complemented
595#400C22×C511yescharacteristic, complemented
596#400C22×C511yescharacteristic, complemented
597#400C22×C511yescharacteristic, complemented
598#400C22×C511yescharacteristic, complemented
599#399C22×C511yescharacteristic, complemented
600#399C22×C511yescharacteristic, complemented
601#398C22×C511yescharacteristic, complemented
602#398C22×C511yescharacteristic, complemented
603#398C22×C511yescharacteristic, complemented
604#398C22×C511yescharacteristic, complemented
605#398C22×C511yescharacteristic, complemented
606#398C22×C511yescharacteristic, complemented
607#398C22×C511yescharacteristic, complemented
608#398C22×C511yescharacteristic, complemented
609#398C22×C511yescharacteristic, complemented
610#398C22×C511yescharacteristic, complemented
611#397C22×C511yescharacteristic
612#397C22×C511yescharacteristic
613#397C22×C511yescharacteristic
614#397C22×C511yescharacteristic
615#397C22×C511yescharacteristic
616#397C22×C511yescharacteristic
617#397C22×C511yescharacteristic, complemented
618#397C22×C511yescharacteristic, complemented
619#397C22×C511yescharacteristic, complemented
620#396C22×C511yescharacteristic
621#396C22×C511yescharacteristic
622#396C22×C511yescharacteristic
623#396C22×C511yescharacteristic, complemented
624#396C22×C511yescharacteristic, complemented
625#395C22×C511yescharacteristic, complemented
626#395C22×C511yescharacteristic, complemented
627#395C22×C511yescharacteristic, complemented
628#395C22×C511yescharacteristic, complemented
629#394C22×C511yescharacteristic
630#394C22×C511yescharacteristic
631#394C22×C511yescharacteristic
632#394C22×C511yescharacteristic
633#393C22×C511yescharacteristic
634#393C22×C511yescharacteristic
635#393C22×C511yescharacteristic
636#393C22×C511yescharacteristic, complemented
637#391C22×C511yescharacteristic, complemented
638#391C22×C511yescharacteristic, complemented
639#391C22×C511yescharacteristic, complemented
640#391C22×C511yescharacteristic, complemented
641#390C22×C511yescharacteristic
642#389C22×C511yescharacteristic, complemented
643#389C22×C511yescharacteristic, complemented
644#389C22×C511yescharacteristic, complemented
645#389C22×C511yescharacteristic, complemented
646#389C22×C511yescharacteristic, complemented
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, 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#386C22×C511yescharacteristic
672#386C22×C511yescharacteristic
673#386C22×C511yescharacteristic
674#386C22×C511yescharacteristic
675#386C22×C511yescharacteristic
676#386C22×C511yescharacteristic
677#386C22×C511yescharacteristic
678#386C22×C511yescharacteristic
679#385C22×C511yescharacteristic
680#385C22×C511yescharacteristic
681#385C22×C511yescharacteristic
682#385C22×C511yescharacteristic
683#385C22×C511yescharacteristic
684#385C22×C511yescharacteristic
685#385C22×C511yescharacteristic
686#385C22×C511yescharacteristic
687#385C22×C511yescharacteristic
688#385C22×C511yescharacteristic
689#385C22×C511yescharacteristic
690#385C22×C511yescharacteristic
691#385C22×C511yescharacteristic
692#385C22×C511yescharacteristic
693#385C22×C511yescharacteristic
694#385C22×C511yescharacteristic
695#385C22×C511yescharacteristic
696#385C22×C511yescharacteristic
697#385C22×C511yescharacteristic
698#385C22×C511yescharacteristic
699#384C22×C511yescharacteristic, complemented
700#383C22×C511yescharacteristic, complemented
701#383C22×C511yescharacteristic, complemented
702#382C22×C511yescharacteristic, complemented
703#382C22×C511yescharacteristic, complemented
704#381C22×C511yescharacteristic
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
713#380C22×C511yescharacteristic
714#380C22×C511yescharacteristic
715#380C22×C511yescharacteristic, complemented
716#380C22×C511yescharacteristic, complemented
717#379C22×C511yescharacteristic
718#379C22×C511yescharacteristic
719#379C22×C511yescharacteristic
720C4×C22⋊C4C22×C511yescharacteristic
721C4×C22⋊C4C22×C511yescharacteristic
722C4×C22⋊C4C22×C511yescharacteristic
723C2×#95C22×C511yescharacteristic
724C2×#95C22×C511yescharacteristic
725C23×C5—21no—
726C23×C5—21no—
727C23×C5—21no—
728C23×C5—21no—
729C23×C5—28no—
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—44no—
750C23×C5—44no—
751C23×C5—44no—
752C23×C5—44no—
753C23×C5—44no—
754C23×C5—44no—
755C23×C5C2×#4112yes—
756C23×C5H(5,𝔽2)12yes—
757C23×C5H(5,𝔽2)12yes—
758C23×C52−1+412yes—
759C23×C52−1+412yes—
760C23×C5C2511yescharacteristic
761C5×Q8—82no—
762C5×Q8—82no—
763C5×Q8—82no—
764C5×D4—44no—
765C5×D4—82no—
766C5×D4—82no—
767C2×C4×C5—21no—
768C2×C4×C5—21no—
769C2×C4×C5—21no—
770C2×C4×C5—21no—
771C2×C4×C5—21no—
772C2×C4×C5—21no—
773C2×C4×C5—21no—
774C2×C4×C5—21no—
775C2×C4×C5—21no—
776C2×C4×C5—21no—
777C2×C4×C5—21no—
778C2×C4×C5—21no—
779C2×C4×C5—21no—
780C2×C4×C5—21no—
781C2×C4×C5—21no—
782C2×C4×C5—21no—
783C2×C4×C5—21no—
784C2×C4×C5—21no—
785C2×C4×C5—21no—
786C2×C4×C5—21no—
787C2×C4×C5—21no—
788C2×C4×C5—21no—
789C2×C4×C5—21no—
790C2×C4×C5—21no—
791C2×C4×C5—21no—
792C2×C4×C5—21no—
793C2×C4×C5—21no—
794C2×C4×C5—21no—
795C2×C4×C5—21no—
796C2×C4×C5—21no—
797C2×C4×C5—21no—
798C2×C4×C5—21no—
799C2×C4×C5—21no—
800C2×C4×C5—21no—
801C2×C4×C5—21no—
802C2×C4×C5—21no—
803C2×C4×C5—21no—
804C2×C4×C5—21no—
805C2×C4×C5—21no—
806C2×C4×C5—21no—
807C2×C4×C5—21no—
808C2×C4×C5—21no—
809C2×C4×C5—21no—
810C2×C4×C5—21no—
811C2×C4×C5—21no—
812C2×C4×C5—21no—
813C2×C4×C5—21no—
814C2×C4×C5—21no—
815C2×C4×C5—21no—
816C2×C4×C5—21no—
817C2×C4×C5—21no—
818C2×C4×C5—21no—
819C2×C4×C5—21no—
820C2×C4×C5—21no—
821C2×C4×C5—21no—
822C2×C4×C5—21no—
823C2×C4×C5—21no—
824C2×C4×C5—21no—
825C2×C4×C5—21no—
826C2×C4×C5—21no—
827C2×C4×C5—21no—
828C2×C4×C5—21no—
829C2×C4×C5—21no—
830C2×C4×C5—21no—
831C2×C4×C5—21no—
832C2×C4×C5—21no—
833C2×C4×C5—21no—
834C2×C4×C5—21no—
835C2×C4×C5—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—44no—
846C2×C4×C5—44no—
847C2×C4×C5—44no—
848C2×C4×C5—44no—
849C2×C4×C5—44no—
850C2×C4×C5—44no—
851C2×C4×C5—44no—
852C2×C4×C5—44no—
853C2×C4×C5—82no—
854C2×C4×C5—82no—
855C2×C4×C5—82no—
856C2×C4×C5C2×#4112yes—
857C2×C4×C5C2×#4112yes—
858C2×C4×C5H(5,𝔽2)12yes—
859C25C23×C511yescharacteristic
860C22×Q8C23×C511yescharacteristic
861C22×Q8C23×C511yescharacteristic
862C22×Q8C23×C511yescharacteristic
863C22×D4C23×C511yescharacteristic
864C22×D4C23×C511yescharacteristic
865C22×D4C23×C511yescharacteristic
866C23×C4—42no—
867C23×C4—42no—
868C23×C4—42no—
869C23×C4C23×C511yescharacteristic
870C23×C4C23×C511yescharacteristic
871C23×C4C23×C511yescharacteristic
872C23×C4C23×C511yescharacteristic
873C23×C4C23×C511yescharacteristic
874C23×C4C23×C511yescharacteristic
875C23×C4C23×C511yescharacteristic
876C23×C4C23×C511yescharacteristic
877C23×C4C23×C511yescharacteristic
878C23×C4C23×C511yescharacteristic
879C23×C4C23×C511yescharacteristic
880C4⋊Q8—42no—
881#126—42no—
882#124—42no—
883#123—42no—
884#123—42no—
885#123—42no—
886C22⋊Q8—24no—
887C22⋊Q8—42no—
888C22⋊Q8—42no—
889C22⋊Q8—42no—
890C22⋊Q8—42no—
891C22⋊Q8—42no—
892#120—42no—
893C4×D4—24no—
894C2×C4⋊C4—42no—
895C2×C4⋊C4—42no—
896C2×C4⋊C4C23×C511yescharacteristic
897C2×C4⋊C4C23×C511yescharacteristic
898C2×C4⋊C4C23×C511yescharacteristic
899C2×C4⋊C4C23×C511yescharacteristic
900C2×C4⋊C4C23×C511yescharacteristic
901C2×C4⋊C4C23×C511yescharacteristic
902C2×C4⋊C4C23×C511yescharacteristic
903C2×C4⋊C4C23×C511yescharacteristic
904C2×C4⋊C4C23×C511yescharacteristic
905C2×C4⋊C4C23×C511yescharacteristic
906C2×C4⋊C4C23×C511yescharacteristic
907C2×C4⋊C4C23×C511yescharacteristic
908C2×C4⋊C4C23×C511yescharacteristic
909C2×C4⋊C4C23×C511yescharacteristic
910C2×C4⋊C4C23×C511yescharacteristic
911C2×C4⋊C4C23×C511yescharacteristic
912C2×C4⋊C4C23×C511yescharacteristic
913C2×C4⋊C4C23×C511yescharacteristic
914C2×C4⋊C4C23×C511yescharacteristic
915C2×C4⋊C4C23×C511yescharacteristic
916C2×C4⋊C4C23×C511yescharacteristic
917C2×C4⋊C4C23×C511yescharacteristic
918C2×C4⋊C4C23×C511yescharacteristic
919C2×C4⋊C4C23×C511yescharacteristic
920C2×C4⋊C4C23×C511yescharacteristic
921C2×C4⋊C4C23×C511yescharacteristic
922C2×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×C22⋊C4—24no—
935C2×C22⋊C4—42no—
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×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×C42C23×C511yescharacteristic
977C2×C42C23×C511yescharacteristic
978C2×C42C23×C511yescharacteristic
979C2×C42C23×C511yescharacteristic
980C2×C42C23×C511yescharacteristic
981C2×C42C23×C511yescharacteristic
982C2×C42C23×C511yescharacteristic
983#95C23×C511yescharacteristic
984#95C23×C511yescharacteristic
985#95C23×C511yescharacteristic
986#95C23×C511yescharacteristic
987#95C23×C511yescharacteristic
988#95C23×C511yescharacteristic
989#95C23×C511yescharacteristic
990#95C23×C511yescharacteristic
991#95C23×C511yescharacteristic
992#95C23×C511yescharacteristic
993#95C23×C511yescharacteristic
994#95C23×C511yescharacteristic
995#95C23×C511yescharacteristic
996#95C23×C511yescharacteristic
997#95C23×C511yescharacteristic
998#95C23×C511yescharacteristic
999#95C23×C511yescharacteristic
1000#95C23×C511yescharacteristic
1001#95C23×C511yescharacteristic
1002#95C23×C511yescharacteristic
1003#95C23×C511yescharacteristic
1004#95C23×C511yescharacteristic
1005#95C23×C511yescharacteristic
1006#95C23×C511yescharacteristic
1007#95C23×C511yescharacteristic
1008#95C23×C511yescharacteristic
1009#95C23×C511yescharacteristic
1010#95C23×C511yescharacteristic
1011#95C23×C511yescharacteristic
1012#95C23×C511yescharacteristic
1013#95C23×C511yescharacteristic
1014#95C23×C511yescharacteristic
1015#95C23×C511yescharacteristic
1016#95C23×C511yescharacteristic
1017#95C23×C511yescharacteristic
1018#95C23×C511yescharacteristic
1019#95C23×C511yescharacteristic
1020#95C23×C511yescharacteristic
1021#95C23×C511yescharacteristic
1022#95C23×C511yescharacteristic
1023#95C23×C511yescharacteristic
1024#95C23×C511yescharacteristic
1025#95C23×C511yescharacteristic
1026#95C23×C511yescharacteristic
1027#95C23×C511yescharacteristic
1028#95C23×C511yescharacteristic
1029#95C23×C511yescharacteristic
1030#95C23×C511yescharacteristic
1031#95C23×C511yescharacteristic
1032#95C23×C511yescharacteristic
1033#95C23×C511yescharacteristic
1034#95C23×C511yescharacteristic
1035C22×C5—22no—
1036C22×C5—22no—
1037C22×C5—22no—
1038C22×C5—22no—
1039C22×C5—22no—
1040C22×C5—22no—
1041C22×C5—22no—
1042C22×C5—22no—
1043C22×C5—22no—
1044C22×C5—22no—
1045C22×C5—22no—
1046C22×C5—22no—
1047C22×C5—416no—
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—41no—
1062C22×C5—41no—
1063C22×C5#54214yes—
1064C22×C5C22×#4111yescharacteristic
1065C22×C5C2×H(5,𝔽2)11yescharacteristic
1066C22×C5C2×H(5,𝔽2)11yescharacteristic
1067C22×C5C2×H(5,𝔽2)11yescharacteristic
1068C22×C5C2×2−1+411yescharacteristic
1069C22×C5C2×2−1+411yescharacteristic
1070C22×C5#58511yescharacteristic
1071C4×C5—22no—
1072C4×C5—22no—
1073C4×C5—22no—
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—
1095C4×C5—41no—
1096C4×C5—41no—
1097C4×C5—41no—
1098C24—22no—
1099C24—22no—
1100C24—22no—
1101C24—22no—
1102C24—22no—
1103C24—41no—
1104C24—41no—
1105C24C24×C511yescharacteristic
1106C24C24×C511yescharacteristic
1107C24C24×C511yescharacteristic
1108C24C24×C511yescharacteristic
1109C2×Q8—22no—
1110C2×Q8—22no—
1111C2×Q8—41no—
1112C2×Q8—41no—
1113C2×Q8—41no—
1114C2×Q8—41no—
1115C2×Q8—41no—
1116C2×Q8—41no—
1117C2×Q8—41no—
1118C2×D4—22no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
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×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—416no—
1160C22×C4C5×#4114yes—
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
1178C22×C4C24×C511yescharacteristic
1179C22×C4C24×C511yescharacteristic
1180C22×C4C24×C511yescharacteristic
1181C22×C4C24×C511yescharacteristic
1182C22×C4C24×C511yescharacteristic
1183C22×C4C24×C511yescharacteristic
1184C22×C4C24×C511yescharacteristic
1185C22×C4C24×C511yescharacteristic
1186C22×C4C24×C511yescharacteristic
1187C22×C4C24×C511yescharacteristic
1188C4⋊C4—22no—
1189C4⋊C4—22no—
1190C4⋊C4—22no—
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—22no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
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—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C42—22no—
1267C42—41no—
1268C42—41no—
1269C42—41no—
1270C42—41no—
1271C42—41no—
1272C42—41no—
1273C2×C5—24no—
1274C2×C5—42no—
1275C2×C5—42no—
1276C2×C5—81no—
1277C2×C5C2×#54211yescharacteristic
1278C2×C5#349211yescharacteristic
1279C2×C5#350511yescharacteristic
1280C2×C5#353211yescharacteristic
1281C2×C5#353511yescharacteristic
1282C2×C5#353511yescharacteristic
1283C2×C5#353811yescharacteristic
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—28no—
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—44no—
1309C23—44no—
1310C23—44no—
1311C23—44no—
1312C23—44no—
1313C23—44no—
1314C23C2×C5×#4112yes—
1315C23C5×H(5,𝔽2)12yes—
1316C23C5×H(5,𝔽2)12yes—
1317C23C5×2−1+412yes—
1318C23C5×2−1+412yes—
1319C23C25×C511yescharacteristic
1320Q8—82no—
1321Q8—82no—
1322Q8—82no—
1323D4—44no—
1324D4—82no—
1325D4—82no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—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—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—82no—
1413C2×C4—82no—
1414C2×C4—82no—
1415C2×C4C2×C5×#4112yes—
1416C2×C4C2×C5×#4112yes—
1417C2×C4C5×H(5,𝔽2)12yes—
1418C5#3677811yescharacteristic, direct product factor, Sylow
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—22no—
1431C22—416no—
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—
1447C22C5×#54214yes—
1448C22C22×C5×#4111yescharacteristic
1449C22C2×C5×H(5,𝔽2)11yescharacteristic
1450C22C2×C5×H(5,𝔽2)11yescharacteristic
1451C22C2×C5×H(5,𝔽2)11yescharacteristic
1452C22C2×C5×2−1+411yescharacteristic
1453C22C2×C5×2−1+411yescharacteristic
1454C22C5×#58511yescharacteristic
1455C4—22no—
1456C4—22no—
1457C4—22no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
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—
1482C2—24no—
1483C2—42no—
1484C2—42no—
1485C2—81no—
1486C2C2×C5×#54211yescharacteristic
1487C2C5×#349211yescharacteristic
1488C2C5×#350511yescharacteristic
1489C2C5×#353211yescharacteristic
1490C2C5×#353511yescharacteristic
1491C2C5×#353511yescharacteristic
1492C2C5×#353811yescharacteristic
subgroupG/H
center, socleC23×C5C25
commutator, Frattini, cosocleC23C25×C5
prime radicalC2×C5×#120C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C5 ◁ G

Complements

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

NH ≅ G/Ntype
2. C5×#2848C2semidirect
3. C5×#2790C2semidirect
4. C5×#2779C2semidirect
5. C5×#2770C2semidirect
6. C5×#2765C2semidirect
7. C5×#2764C2semidirect
8. C5×#2763C2semidirect
9. C5×#2757C2semidirect
10. C5×#2746C2semidirect
11. C5×#2739C2semidirect
12. C5×#2729C2semidirect
13. C5×#2718C2semidirect
14. C5×#2717C2semidirect
15. C5×#2698C2semidirect
16. C5×#2692C2semidirect
17. C5×#2687C2semidirect
18. C5×#2674C2semidirect
19. C5×#2627C2semidirect
20. C5×#2623C2semidirect
21. C5×#2561C2semidirect
23. C5×#2493C2semidirect
24. C5×#2488C2semidirect
25. C5×#2480C2semidirect
27. C5×#2440C2semidirect
28. C5×#2417C2semidirect
29. C5×#2329C2semidirect
30. C5×#2318C2semidirect
31. C2×C5×#385C2semidirect
33. C2×C5×C4⋊Q8C22semidirect
44. C2×C5×C22⋊Q8C22semidirect
51. C5×#401C22semidirect
52. C5×#400C22semidirect
53. C5×#400C22semidirect
54. C5×#400C22semidirect
55. C5×#400C22semidirect
56. C5×#400C22semidirect
57. C5×#400C22semidirect
58. C5×#400C22semidirect
59. C5×#400C22semidirect
60. C5×#400C22semidirect
61. C5×#399C22semidirect
62. C5×#399C22semidirect
63. C5×#398C22semidirect
64. C5×#398C22semidirect
65. C5×#398C22semidirect
66. C5×#398C22semidirect
67. C5×#398C22semidirect
68. C5×#398C22semidirect
69. C5×#398C22semidirect
70. C5×#398C22semidirect
71. C5×#398C22semidirect
72. C5×#398C22semidirect
79. C5×#397C22semidirect
80. C5×#397C22semidirect
81. C5×#397C22semidirect
85. C5×#396C22semidirect
86. C5×#396C22semidirect
87. C5×#395C22semidirect
88. C5×#395C22semidirect
89. C5×#395C22semidirect
90. C5×#395C22semidirect
98. C5×#393C22semidirect
99. C5×#391C22semidirect
100. C5×#391C22semidirect
101. C5×#391C22semidirect
102. C5×#391C22semidirect
104. C5×#389C22semidirect
105. C5×#389C22semidirect
106. C5×#389C22semidirect
107. C5×#389C22semidirect
108. C5×#389C22semidirect
120. C5×#388C22semidirect
121. C5×#388C22semidirect
122. C5×#388C22semidirect
123. C5×#388C22semidirect
124. C5×#387C22semidirect
125. C5×#387C22semidirect
126. C5×#387C22semidirect
127. C5×#387C22semidirect
128. C5×#387C22semidirect
129. C5×#387C22semidirect
130. C5×#387C22semidirect
131. C5×#387C22semidirect
132. C5×#387C22semidirect
161. C5×#384C22semidirect
162. C5×#383C22semidirect
163. C5×#383C22semidirect
164. C5×#382C22semidirect
165. C5×#382C22semidirect
171. C5×#381C22semidirect
177. C5×#380C22semidirect
178. C5×#380C22semidirect
187. #36778C5direct (N × H)
365. #2848C2×C5semidirect
366. #2790C2×C5semidirect
367. #2779C2×C5semidirect
368. #2770C2×C5semidirect
369. #2765C2×C5semidirect
370. #2764C2×C5semidirect
371. #2763C2×C5semidirect
372. #2757C2×C5semidirect
373. #2746C2×C5semidirect
374. #2739C2×C5semidirect
375. #2729C2×C5semidirect
376. #2718C2×C5semidirect
377. #2717C2×C5semidirect
378. #2698C2×C5semidirect
379. #2692C2×C5semidirect
380. #2687C2×C5semidirect
381. #2674C2×C5semidirect
382. #2627C2×C5semidirect
383. #2623C2×C5semidirect
384. #2561C2×C5semidirect
386. #2493C2×C5semidirect
387. #2488C2×C5semidirect
388. #2480C2×C5semidirect
390. #2440C2×C5semidirect
391. #2417C2×C5semidirect
392. #2329C2×C5semidirect
393. #2318C2×C5semidirect
394. C2×#385C2×C5semidirect
571. C2×C4⋊Q8C22×C5semidirect
582. C2×C22⋊Q8C22×C5semidirect
589. #401C22×C5semidirect
590. #400C22×C5semidirect
591. #400C22×C5semidirect
592. #400C22×C5semidirect
593. #400C22×C5semidirect
594. #400C22×C5semidirect
595. #400C22×C5semidirect
596. #400C22×C5semidirect
597. #400C22×C5semidirect
598. #400C22×C5semidirect
599. #399C22×C5semidirect
600. #399C22×C5semidirect
601. #398C22×C5semidirect
602. #398C22×C5semidirect
603. #398C22×C5semidirect
604. #398C22×C5semidirect
605. #398C22×C5semidirect
606. #398C22×C5semidirect
607. #398C22×C5semidirect
608. #398C22×C5semidirect
609. #398C22×C5semidirect
610. #398C22×C5semidirect
617. #397C22×C5semidirect
618. #397C22×C5semidirect
619. #397C22×C5semidirect
623. #396C22×C5semidirect
624. #396C22×C5semidirect
625. #395C22×C5semidirect
626. #395C22×C5semidirect
627. #395C22×C5semidirect
628. #395C22×C5semidirect
636. #393C22×C5semidirect
637. #391C22×C5semidirect
638. #391C22×C5semidirect
639. #391C22×C5semidirect
640. #391C22×C5semidirect
642. #389C22×C5semidirect
643. #389C22×C5semidirect
644. #389C22×C5semidirect
645. #389C22×C5semidirect
646. #389C22×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
699. #384C22×C5semidirect
700. #383C22×C5semidirect
701. #383C22×C5semidirect
702. #382C22×C5semidirect
703. #382C22×C5semidirect
709. #381C22×C5semidirect
715. #380C22×C5semidirect
716. #380C22×C5semidirect
1418. C5#36778direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#28492
C5×#28482
C5×#27902
C5×#27792
C5×#27702
C5×#27652
C5×#27642
C5×#27632
C5×#27572
C5×#27462
C5×#27392
C5×#27292
C5×#27182
C5×#27172
C5×#26982
C5×#26922
C5×#26872
C5×#26742
C5×#26272
C5×#26232
C5×#25612
C5×#25342
C5×#24932
C5×#24882
C5×#24802
C5×#24722
C5×#24402
C5×#24172
C5×#23292
C5×#23182
C2×C5×#3852
#367785