Finite Group Databasebeta

← C5×#36726 #11959446

Subgroups — C5×#36726 #11959446

Order 1280.

1950 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2849C211yesmaximal, characteristic, complemented
2C5×#2849C211yesmaximal, characteristic, complemented
3C5×#2746C211yesmaximal, characteristic, complemented
4C5×#2745C211yesmaximal, characteristic, complemented
5C5×#2744C211yesmaximal, characteristic, complemented
6C5×#2743C211yesmaximal, characteristic, complemented
7C5×#2740C211yesmaximal, characteristic, complemented
8C5×#2739C211yesmaximal, characteristic, complemented
9C5×#2738C211yesmaximal, characteristic, complemented
10C5×#2737C211yesmaximal, characteristic, complemented
11C5×#2707C211yesmaximal, characteristic, complemented
12C5×#2706C211yesmaximal, characteristic, complemented
13C5×#2705C211yesmaximal, characteristic, complemented
14C5×#2696C211yesmaximal, characteristic, complemented
15C5×#2695C211yesmaximal, characteristic, complemented
16C5×#2694C211yesmaximal, characteristic, complemented
17C5×#2693C211yesmaximal, characteristic, complemented
18C5×#2687C211yesmaximal, characteristic, complemented
19C5×#2626C211yesmaximal, characteristic, complemented
20C5×#2617C211yesmaximal, characteristic
21C5×#2510C211yesmaximal, characteristic, complemented
22C5×#2505C211yesmaximal, characteristic, complemented
23C5×#2481C211yesmaximal, characteristic, complemented
24C5×#2473C211yesmaximal, characteristic, complemented
25C5×#2450C211yesmaximal, characteristic, complemented
26C5×#2449C211yesmaximal, characteristic, complemented
27C5×#2444C211yesmaximal, characteristic, complemented
28C5×#2443C211yesmaximal, characteristic, complemented
29C5×#2321C211yesmaximal, characteristic, complemented
30C5×#2321C211yesmaximal, characteristic, complemented
31C2×C5×#380C211yesmaximal, characteristic, complemented
32C24×C4×C5C2211yescharacteristic
33C2×C5×#126C2211yescharacteristic, complemented
34C2×C5×#125C2211yescharacteristic, complemented
35C2×C5×#123C2211yescharacteristic
36C2×C5×#123C2211yescharacteristic
37C2×C5×#123C2211yescharacteristic
38C2×C5×#123C2211yescharacteristic
39C2×C5×#123C2211yescharacteristic, complemented
40C2×C5×C22⋊Q8C2211yescharacteristic
41C2×C5×C22⋊Q8C2211yescharacteristic, complemented
42C2×C5×#121C2211yescharacteristic
43C2×C5×#120C2211yescharacteristic
44C2×C5×#120C2211yescharacteristic
45C2×C4×C5×D4C2211yescharacteristic
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
62C5×#399C2211yescharacteristic
63C5×#399C2211yescharacteristic, complemented
64C5×#399C2211yescharacteristic, complemented
65C5×#398C2211yescharacteristic, complemented
66C5×#398C2211yescharacteristic, complemented
67C5×#398C2211yescharacteristic, complemented
68C5×#398C2211yescharacteristic, complemented
69C5×#398C2211yescharacteristic, complemented
70C5×#398C2211yescharacteristic, complemented
71C5×#398C2211yescharacteristic, complemented
72C5×#397C2211yescharacteristic
73C5×#397C2211yescharacteristic
74C5×#397C2211yescharacteristic, complemented
75C5×#397C2211yescharacteristic, complemented
76C5×#397C2211yescharacteristic, complemented
77C5×#397C2211yescharacteristic, complemented
78C5×#397C2211yescharacteristic, complemented
79C5×#397C2211yescharacteristic, complemented
80C5×#396C2211yescharacteristic
81C5×#396C2211yescharacteristic
82C5×#396C2211yescharacteristic
83C5×#396C2211yescharacteristic
84C5×#396C2211yescharacteristic, complemented
85C5×#396C2211yescharacteristic, complemented
86C5×#396C2211yescharacteristic, complemented
87C5×#395C2211yescharacteristic, complemented
88C5×#394C2211yescharacteristic
89C5×#394C2211yescharacteristic
90C5×#394C2211yescharacteristic
91C5×#394C2211yescharacteristic
92C5×#394C2211yescharacteristic, complemented
93C5×#394C2211yescharacteristic, complemented
94C5×#393C2211yescharacteristic
95C5×#393C2211yescharacteristic
96C5×#393C2211yescharacteristic, complemented
97C5×#392C2211yescharacteristic
98C5×#392C2211yescharacteristic
99C5×#391C2211yescharacteristic, complemented
100C5×#390C2211yescharacteristic
101C5×#390C2211yescharacteristic
102C5×#390C2211yescharacteristic
103C5×#390C2211yescharacteristic
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, complemented
116C5×#388C2211yescharacteristic, complemented
117C5×#388C2211yescharacteristic, complemented
118C5×#388C2211yescharacteristic, complemented
119C5×#388C2211yescharacteristic, complemented
120C5×#387C2211yescharacteristic, complemented
121C5×#387C2211yescharacteristic, complemented
122C5×#387C2211yescharacteristic, complemented
123C5×#387C2211yescharacteristic, complemented
124C5×#387C2211yescharacteristic, complemented
125C5×#387C2211yescharacteristic, complemented
126C5×#387C2211yescharacteristic, complemented
127C5×#387C2211yescharacteristic, complemented
128C5×#387C2211yescharacteristic, complemented
129C5×#387C2211yescharacteristic, complemented
130C5×#387C2211yescharacteristic, complemented
131C5×#386C2211yescharacteristic
132C5×#386C2211yescharacteristic
133C5×#386C2211yescharacteristic
134C5×#386C2211yescharacteristic
135C5×#386C2211yescharacteristic
136C5×#386C2211yescharacteristic
137C5×#386C2211yescharacteristic
138C5×#386C2211yescharacteristic
139C5×#386C2211yescharacteristic
140C5×#386C2211yescharacteristic
141C5×#386C2211yescharacteristic
142C5×#386C2211yescharacteristic
143C5×#386C2211yescharacteristic
144C5×#386C2211yescharacteristic
145C5×#386C2211yescharacteristic
146C5×#386C2211yescharacteristic
147C5×#386C2211yescharacteristic, complemented
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, complemented
161C5×#385C2211yescharacteristic, complemented
162C5×#385C2211yescharacteristic, complemented
163C5×#383C2211yescharacteristic, complemented
164C5×#382C2211yescharacteristic, complemented
165C5×#381C2211yescharacteristic
166C5×#381C2211yescharacteristic
167C5×#381C2211yescharacteristic
168C5×#381C2211yescharacteristic
169C5×#381C2211yescharacteristic, complemented
170C5×#380C2211yescharacteristic
171C5×#380C2211yescharacteristic
172C5×#380C2211yescharacteristic
173C5×#380C2211yescharacteristic
174C5×#380C2211yescharacteristic
175C5×#380C2211yescharacteristic
176C5×#380C2211yescharacteristic
177C5×#380C2211yescharacteristic
178C5×#380C2211yescharacteristic
179C5×#380C2211yescharacteristic
180C5×#380C2211yescharacteristic, complemented
181C5×#379C2211yescharacteristic
182C5×#379C2211yescharacteristic
183C4×C5×C22⋊C4C2211yescharacteristic
184C4×C5×C22⋊C4C2211yescharacteristic
185C2×C5×#95C2211yescharacteristic
186C2×C5×#95C2211yescharacteristic
187#36726C511yesmaximal, characteristic, direct product factor, Sylow
188C25×C5C2311yescharacteristic
189C22×C5×Q8C2311yescharacteristic
190C22×C5×D4C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C22×C5×D4C2311yescharacteristic
197C23×C4×C5—24no—
198C23×C4×C5—42no—
199C23×C4×C5—42no—
200C23×C4×C5C2311yescharacteristic
201C23×C4×C5C2311yescharacteristic
202C23×C4×C5C2311yescharacteristic
203C23×C4×C5C2311yescharacteristic
204C23×C4×C5C2311yescharacteristic
205C23×C4×C5C2311yescharacteristic
206C23×C4×C5C2311yescharacteristic
207C23×C4×C5C2311yescharacteristic
208C23×C4×C5C2311yescharacteristic
209C23×C4×C5C2311yescharacteristic
210C23×C4×C5C2311yescharacteristic
211C23×C4×C5C2311yescharacteristic
212C5×#126—42no—
213C5×#125—42no—
214C5×#123—42no—
215C5×#123—42no—
216C5×#123—42no—
217C5×#123—42no—
218C5×#123—42no—
219C5×C22⋊Q8—42no—
220C5×C22⋊Q8—42no—
221C5×#121—42no—
222C5×#120—24no—
223C5×#120—24no—
224C4×C5×D4—42no—
225C4×C5×D4—42no—
226C2×C5×C4⋊C4—42no—
227C2×C5×C4⋊C4—42no—
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×C22⋊C4—42no—
263C2×C5×C22⋊C4—42no—
264C2×C5×C22⋊C4C2311yescharacteristic
265C2×C5×C22⋊C4C2311yescharacteristic
266C2×C5×C22⋊C4C2311yescharacteristic
267C2×C5×C22⋊C4C2311yescharacteristic
268C2×C5×C22⋊C4C2311yescharacteristic
269C2×C5×C22⋊C4C2311yescharacteristic
270C2×C5×C22⋊C4C2311yescharacteristic
271C2×C5×C22⋊C4C2311yescharacteristic
272C2×C5×C22⋊C4C2311yescharacteristic
273C2×C5×C22⋊C4C2311yescharacteristic
274C2×C5×C22⋊C4C2311yescharacteristic
275C2×C5×C22⋊C4C2311yescharacteristic
276C2×C5×C22⋊C4C2311yescharacteristic
277C2×C5×C22⋊C4C2311yescharacteristic
278C2×C5×C22⋊C4C2311yescharacteristic
279C2×C5×C22⋊C4C2311yescharacteristic
280C2×C5×C22⋊C4C2311yescharacteristic
281C2×C5×C22⋊C4C2311yescharacteristic
282C2×C5×C22⋊C4C2311yescharacteristic
283C2×C5×C22⋊C4C2311yescharacteristic
284C2×C5×C22⋊C4C2311yescharacteristic
285C2×C5×C22⋊C4C2311yescharacteristic
286C2×C5×C22⋊C4C2311yescharacteristic
287C2×C5×C22⋊C4C2311yescharacteristic
288C2×C5×C22⋊C4C2311yescharacteristic
289C2×C5×C22⋊C4C2311yescharacteristic
290C2×C5×C22⋊C4C2311yescharacteristic
291C2×C5×C22⋊C4C2311yescharacteristic
292C2×C5×C22⋊C4C2311yescharacteristic
293C2×C5×C22⋊C4C2311yescharacteristic
294C2×C5×C22⋊C4C2311yescharacteristic
295C2×C5×C22⋊C4C2311yescharacteristic
296C2×C5×C22⋊C4C2311yescharacteristic
297C2×C5×C22⋊C4C2311yescharacteristic
298C2×C5×C22⋊C4C2311yescharacteristic
299C2×C5×C22⋊C4C2311yescharacteristic
300C2×C5×C22⋊C4C2311yescharacteristic
301C2×C5×C22⋊C4C2311yescharacteristic
302C2×C5×C22⋊C4C2311yescharacteristic
303C2×C5×C22⋊C4C2311yescharacteristic
304C2×C5×C22⋊C4C2311yescharacteristic
305C2×C5×C22⋊C4C2311yescharacteristic
306C2×C5×C22⋊C4C2311yescharacteristic
307C2×C5×C22⋊C4C2311yescharacteristic
308C2×C5×C22⋊C4C2311yescharacteristic
309C2×C5×C22⋊C4C2311yescharacteristic
310C2×C42×C5C2311yescharacteristic
311C2×C42×C5C2311yescharacteristic
312C2×C42×C5C2311yescharacteristic
313C2×C42×C5C2311yescharacteristic
314C2×C42×C5C2311yescharacteristic
315C2×C42×C5C2311yescharacteristic
316C5×#95C2311yescharacteristic
317C5×#95C2311yescharacteristic
318C5×#95C2311yescharacteristic
319C5×#95C2311yescharacteristic
320C5×#95C2311yescharacteristic
321C5×#95C2311yescharacteristic
322C5×#95C2311yescharacteristic
323C5×#95C2311yescharacteristic
324C5×#95C2311yescharacteristic
325C5×#95C2311yescharacteristic
326C5×#95C2311yescharacteristic
327C5×#95C2311yescharacteristic
328C5×#95C2311yescharacteristic
329C5×#95C2311yescharacteristic
330C5×#95C2311yescharacteristic
331C5×#95C2311yescharacteristic
332C5×#95C2311yescharacteristic
333C5×#95C2311yescharacteristic
334C5×#95C2311yescharacteristic
335C5×#95C2311yescharacteristic
336C5×#95C2311yescharacteristic
337C5×#95C2311yescharacteristic
338C5×#95C2311yescharacteristic
339C5×#95C2311yescharacteristic
340C5×#95C2311yescharacteristic
341C5×#95C2311yescharacteristic
342C5×#95C2311yescharacteristic
343C5×#95C2311yescharacteristic
344C5×#95C2311yescharacteristic
345C5×#95C2311yescharacteristic
346C5×#95C2311yescharacteristic
347C5×#95C2311yescharacteristic
348C5×#95C2311yescharacteristic
349C5×#95C2311yescharacteristic
350C5×#95C2311yescharacteristic
351C5×#95C2311yescharacteristic
352C5×#95C2311yescharacteristic
353C5×#95C2311yescharacteristic
354C5×#95C2311yescharacteristic
355C5×#95C2311yescharacteristic
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362C5×#95C2311yescharacteristic
363C5×#95C2311yescharacteristic
364#2849C2×C511yescharacteristic, complemented
365#2849C2×C511yescharacteristic, complemented
366#2746C2×C511yescharacteristic, complemented
367#2745C2×C511yescharacteristic, complemented
368#2744C2×C511yescharacteristic, complemented
369#2743C2×C511yescharacteristic, complemented
370#2740C2×C511yescharacteristic, complemented
371#2739C2×C511yescharacteristic, complemented
372#2738C2×C511yescharacteristic, complemented
373#2737C2×C511yescharacteristic, complemented
374#2707C2×C511yescharacteristic, complemented
375#2706C2×C511yescharacteristic, complemented
376#2705C2×C511yescharacteristic, complemented
377#2696C2×C511yescharacteristic, complemented
378#2695C2×C511yescharacteristic, complemented
379#2694C2×C511yescharacteristic, complemented
380#2693C2×C511yescharacteristic, complemented
381#2687C2×C511yescharacteristic, complemented
382#2626C2×C511yescharacteristic, complemented
383#2617C2×C511yescharacteristic
384#2510C2×C511yescharacteristic, complemented
385#2505C2×C511yescharacteristic, complemented
386#2481C2×C511yescharacteristic, complemented
387#2473C2×C511yescharacteristic, complemented
388#2450C2×C511yescharacteristic, complemented
389#2449C2×C511yescharacteristic, complemented
390#2444C2×C511yescharacteristic, complemented
391#2443C2×C511yescharacteristic, complemented
392#2321C2×C511yescharacteristic, complemented
393#2321C2×C511yescharacteristic, complemented
394C2×#380C2×C511yescharacteristic, complemented
395C24×C5—22no—
396C24×C5—22no—
397C24×C5—41no—
398C24×C5—41no—
399C24×C5—41no—
400C24×C5—41no—
401C24×C5#4114yes—
402C24×C5C2411yescharacteristic
403C24×C5C2411yescharacteristic
404C24×C5C2411yescharacteristic
405C24×C5C2411yescharacteristic
406C24×C5C2411yescharacteristic
407C2×C5×Q8—41no—
408C2×C5×Q8—41no—
409C2×C5×Q8—41no—
410C2×C5×D4—22no—
411C2×C5×D4—22no—
412C2×C5×D4—22no—
413C2×C5×D4—22no—
414C2×C5×D4—22no—
415C2×C5×D4—22no—
416C2×C5×D4—22no—
417C2×C5×D4—22no—
418C2×C5×D4—22no—
419C2×C5×D4—22no—
420C2×C5×D4—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—
428C2×C5×D4—41no—
429C2×C5×D4—41no—
430C2×C5×D4—41no—
431C22×C4×C5—22no—
432C22×C4×C5—22no—
433C22×C4×C5—22no—
434C22×C4×C5—22no—
435C22×C4×C5—22no—
436C22×C4×C5—22no—
437C22×C4×C5—22no—
438C22×C4×C5—22no—
439C22×C4×C5—22no—
440C22×C4×C5—22no—
441C22×C4×C5—22no—
442C22×C4×C5—22no—
443C22×C4×C5—22no—
444C22×C4×C5—22no—
445C22×C4×C5—22no—
446C22×C4×C5—22no—
447C22×C4×C5—41no—
448C22×C4×C5—41no—
449C22×C4×C5—41no—
450C22×C4×C5—41no—
451C22×C4×C5—41no—
452C22×C4×C5—41no—
453C22×C4×C5—41no—
454C22×C4×C5—41no—
455C22×C4×C5—41no—
456C22×C4×C5—41no—
457C22×C4×C5—41no—
458C22×C4×C5—41no—
459C22×C4×C5—41no—
460C22×C4×C5—41no—
461C22×C4×C5—41no—
462C22×C4×C5—41no—
463C22×C4×C5—41no—
464C22×C4×C5—41no—
465C22×C4×C5—41no—
466C22×C4×C5—41no—
467C22×C4×C5—416no—
468C22×C4×C5C2411yescharacteristic
469C22×C4×C5C2411yescharacteristic
470C22×C4×C5C2411yescharacteristic
471C22×C4×C5C2411yescharacteristic
472C22×C4×C5C2411yescharacteristic
473C22×C4×C5C2411yescharacteristic
474C22×C4×C5C2411yescharacteristic
475C22×C4×C5C2411yescharacteristic
476C22×C4×C5C2411yescharacteristic
477C22×C4×C5C2411yescharacteristic
478C22×C4×C5C2411yescharacteristic
479C22×C4×C5C2411yescharacteristic
480C22×C4×C5C2411yescharacteristic
481C22×C4×C5C2411yescharacteristic
482C22×C4×C5C2411yescharacteristic
483C22×C4×C5C2411yescharacteristic
484C22×C4×C5C2411yescharacteristic
485C22×C4×C5C2411yescharacteristic
486C22×C4×C5C2411yescharacteristic
487C22×C4×C5C2411yescharacteristic
488C22×C4×C5C2411yescharacteristic
489C22×C4×C5C2411yescharacteristic
490C22×C4×C5C2411yescharacteristic
491C22×C4×C5C2411yescharacteristic
492C22×C4×C5C2411yescharacteristic
493C22×C4×C5C2411yescharacteristic
494C5×C4⋊C4—22no—
495C5×C4⋊C4—22no—
496C5×C4⋊C4—22no—
497C5×C4⋊C4—22no—
498C5×C4⋊C4—22no—
499C5×C4⋊C4—22no—
500C5×C4⋊C4—22no—
501C5×C4⋊C4—22no—
502C5×C4⋊C4—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×C4⋊C4—41no—
524C5×C4⋊C4—41no—
525C5×C4⋊C4—41no—
526C5×C4⋊C4—41no—
527C5×C4⋊C4—41no—
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—41no—
543C5×C22⋊C4—41no—
544C5×C22⋊C4—41no—
545C5×C22⋊C4—41no—
546C5×C22⋊C4—41no—
547C5×C22⋊C4—41no—
548C5×C22⋊C4—41no—
549C5×C22⋊C4—41no—
550C5×C22⋊C4—41no—
551C5×C22⋊C4—41no—
552C5×C22⋊C4—41no—
553C5×C22⋊C4—41no—
554C5×C22⋊C4—41no—
555C5×C22⋊C4—41no—
556C5×C22⋊C4—41no—
557C5×C22⋊C4—41no—
558C5×C22⋊C4—41no—
559C5×C22⋊C4—41no—
560C5×C22⋊C4—41no—
561C5×C22⋊C4—41no—
562C5×C22⋊C4—41no—
563C5×C22⋊C4—41no—
564C5×C22⋊C4—41no—
565C5×C22⋊C4—41no—
566C5×C22⋊C4—41no—
567C5×C22⋊C4—41no—
568C5×C22⋊C4—41no—
569C5×C22⋊C4—41no—
570C5×C22⋊C4—41no—
571C5×C22⋊C4—41no—
572C5×C22⋊C4—41no—
573C5×C22⋊C4—41no—
574C42×C5—41no—
575C42×C5—41no—
576C42×C5—41no—
577C42×C5—41no—
578C42×C5—41no—
579C42×C5—41no—
580C24×C4C22×C511yescharacteristic
581C2×#126C22×C511yescharacteristic, complemented
582C2×#125C22×C511yescharacteristic, complemented
583C2×#123C22×C511yescharacteristic
584C2×#123C22×C511yescharacteristic
585C2×#123C22×C511yescharacteristic
586C2×#123C22×C511yescharacteristic
587C2×#123C22×C511yescharacteristic, complemented
588C2×C22⋊Q8C22×C511yescharacteristic
589C2×C22⋊Q8C22×C511yescharacteristic, complemented
590C2×#121C22×C511yescharacteristic
591C2×#120C22×C511yescharacteristic
592C2×#120C22×C511yescharacteristic
593C2×C4×D4C22×C511yescharacteristic
594C2×C4×D4C22×C511yescharacteristic
595C22×C4⋊C4C22×C511yescharacteristic
596C22×C4⋊C4C22×C511yescharacteristic
597C22×C22⋊C4C22×C511yescharacteristic
598C22×C22⋊C4C22×C511yescharacteristic
599#401C22×C511yescharacteristic, complemented
600#400C22×C511yescharacteristic, complemented
601#400C22×C511yescharacteristic, complemented
602#400C22×C511yescharacteristic, complemented
603#400C22×C511yescharacteristic, complemented
604#400C22×C511yescharacteristic, complemented
605#400C22×C511yescharacteristic, complemented
606#400C22×C511yescharacteristic, complemented
607#400C22×C511yescharacteristic, complemented
608#400C22×C511yescharacteristic, complemented
609#399C22×C511yescharacteristic
610#399C22×C511yescharacteristic
611#399C22×C511yescharacteristic, complemented
612#399C22×C511yescharacteristic, complemented
613#398C22×C511yescharacteristic, complemented
614#398C22×C511yescharacteristic, complemented
615#398C22×C511yescharacteristic, complemented
616#398C22×C511yescharacteristic, complemented
617#398C22×C511yescharacteristic, complemented
618#398C22×C511yescharacteristic, complemented
619#398C22×C511yescharacteristic, complemented
620#397C22×C511yescharacteristic
621#397C22×C511yescharacteristic
622#397C22×C511yescharacteristic, complemented
623#397C22×C511yescharacteristic, complemented
624#397C22×C511yescharacteristic, complemented
625#397C22×C511yescharacteristic, complemented
626#397C22×C511yescharacteristic, complemented
627#397C22×C511yescharacteristic, complemented
628#396C22×C511yescharacteristic
629#396C22×C511yescharacteristic
630#396C22×C511yescharacteristic
631#396C22×C511yescharacteristic
632#396C22×C511yescharacteristic, complemented
633#396C22×C511yescharacteristic, complemented
634#396C22×C511yescharacteristic, complemented
635#395C22×C511yescharacteristic, complemented
636#394C22×C511yescharacteristic
637#394C22×C511yescharacteristic
638#394C22×C511yescharacteristic
639#394C22×C511yescharacteristic
640#394C22×C511yescharacteristic, complemented
641#394C22×C511yescharacteristic, complemented
642#393C22×C511yescharacteristic
643#393C22×C511yescharacteristic
644#393C22×C511yescharacteristic, complemented
645#392C22×C511yescharacteristic
646#392C22×C511yescharacteristic
647#391C22×C511yescharacteristic, complemented
648#390C22×C511yescharacteristic
649#390C22×C511yescharacteristic
650#390C22×C511yescharacteristic
651#390C22×C511yescharacteristic
652#389C22×C511yescharacteristic, complemented
653#389C22×C511yescharacteristic, complemented
654#389C22×C511yescharacteristic, complemented
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#387C22×C511yescharacteristic, complemented
669#387C22×C511yescharacteristic, complemented
670#387C22×C511yescharacteristic, complemented
671#387C22×C511yescharacteristic, complemented
672#387C22×C511yescharacteristic, complemented
673#387C22×C511yescharacteristic, complemented
674#387C22×C511yescharacteristic, complemented
675#387C22×C511yescharacteristic, complemented
676#387C22×C511yescharacteristic, complemented
677#387C22×C511yescharacteristic, complemented
678#387C22×C511yescharacteristic, complemented
679#386C22×C511yescharacteristic
680#386C22×C511yescharacteristic
681#386C22×C511yescharacteristic
682#386C22×C511yescharacteristic
683#386C22×C511yescharacteristic
684#386C22×C511yescharacteristic
685#386C22×C511yescharacteristic
686#386C22×C511yescharacteristic
687#386C22×C511yescharacteristic
688#386C22×C511yescharacteristic
689#386C22×C511yescharacteristic
690#386C22×C511yescharacteristic
691#386C22×C511yescharacteristic
692#386C22×C511yescharacteristic
693#386C22×C511yescharacteristic
694#386C22×C511yescharacteristic
695#386C22×C511yescharacteristic, complemented
696#385C22×C511yescharacteristic
697#385C22×C511yescharacteristic
698#385C22×C511yescharacteristic
699#385C22×C511yescharacteristic
700#385C22×C511yescharacteristic
701#385C22×C511yescharacteristic
702#385C22×C511yescharacteristic
703#385C22×C511yescharacteristic
704#385C22×C511yescharacteristic
705#385C22×C511yescharacteristic
706#385C22×C511yescharacteristic
707#385C22×C511yescharacteristic
708#385C22×C511yescharacteristic, complemented
709#385C22×C511yescharacteristic, complemented
710#385C22×C511yescharacteristic, complemented
711#383C22×C511yescharacteristic, complemented
712#382C22×C511yescharacteristic, complemented
713#381C22×C511yescharacteristic
714#381C22×C511yescharacteristic
715#381C22×C511yescharacteristic
716#381C22×C511yescharacteristic
717#381C22×C511yescharacteristic, complemented
718#380C22×C511yescharacteristic
719#380C22×C511yescharacteristic
720#380C22×C511yescharacteristic
721#380C22×C511yescharacteristic
722#380C22×C511yescharacteristic
723#380C22×C511yescharacteristic
724#380C22×C511yescharacteristic
725#380C22×C511yescharacteristic
726#380C22×C511yescharacteristic
727#380C22×C511yescharacteristic
728#380C22×C511yescharacteristic, complemented
729#379C22×C511yescharacteristic
730#379C22×C511yescharacteristic
731C4×C22⋊C4C22×C511yescharacteristic
732C4×C22⋊C4C22×C511yescharacteristic
733C2×#95C22×C511yescharacteristic
734C2×#95C22×C511yescharacteristic
735C23×C5—21no—
736C23×C5—21no—
737C23×C5—21no—
738C23×C5—21no—
739C23×C5—28no—
740C23×C5—21no—
741C23×C5—21no—
742C23×C5—21no—
743C23×C5—21no—
744C23×C5—21no—
745C23×C5—21no—
746C23×C5—21no—
747C23×C5—21no—
748C23×C5—21no—
749C23×C5—21no—
750C23×C5—21no—
751C23×C5—21no—
752C23×C5—21no—
753C23×C5—21no—
754C23×C5—21no—
755C23×C5—21no—
756C23×C5—21no—
757C23×C5—21no—
758C23×C5—21no—
759C23×C5—21no—
760C23×C5—21no—
761C23×C5—21no—
762C23×C5—21no—
763C23×C5—21no—
764C23×C5—21no—
765C23×C5—21no—
766C23×C5—44no—
767C23×C5—44no—
768C23×C5—44no—
769C23×C5—44no—
770C23×C5—44no—
771C23×C5—44no—
772C23×C5C2×#4112yes—
773C23×C5C2×#4112yes—
774C23×C5C2×#4112yes—
775C23×C5H(5,𝔽2)12yes—
776C23×C52−1+412yes—
777C23×C5C2511yescharacteristic
778C5×Q8—82no—
779C5×D4—44no—
780C5×D4—44no—
781C5×D4—82no—
782C5×D4—82no—
783C5×D4—82no—
784C5×D4—82no—
785C5×D4—82no—
786C2×C4×C5—28no—
787C2×C4×C5—21no—
788C2×C4×C5—21no—
789C2×C4×C5—21no—
790C2×C4×C5—21no—
791C2×C4×C5—21no—
792C2×C4×C5—21no—
793C2×C4×C5—21no—
794C2×C4×C5—21no—
795C2×C4×C5—21no—
796C2×C4×C5—21no—
797C2×C4×C5—21no—
798C2×C4×C5—21no—
799C2×C4×C5—21no—
800C2×C4×C5—21no—
801C2×C4×C5—21no—
802C2×C4×C5—21no—
803C2×C4×C5—21no—
804C2×C4×C5—21no—
805C2×C4×C5—21no—
806C2×C4×C5—21no—
807C2×C4×C5—21no—
808C2×C4×C5—21no—
809C2×C4×C5—21no—
810C2×C4×C5—21no—
811C2×C4×C5—21no—
812C2×C4×C5—21no—
813C2×C4×C5—21no—
814C2×C4×C5—21no—
815C2×C4×C5—21no—
816C2×C4×C5—21no—
817C2×C4×C5—21no—
818C2×C4×C5—21no—
819C2×C4×C5—21no—
820C2×C4×C5—21no—
821C2×C4×C5—21no—
822C2×C4×C5—21no—
823C2×C4×C5—21no—
824C2×C4×C5—21no—
825C2×C4×C5—21no—
826C2×C4×C5—21no—
827C2×C4×C5—21no—
828C2×C4×C5—21no—
829C2×C4×C5—21no—
830C2×C4×C5—21no—
831C2×C4×C5—21no—
832C2×C4×C5—21no—
833C2×C4×C5—21no—
834C2×C4×C5—21no—
835C2×C4×C5—21no—
836C2×C4×C5—21no—
837C2×C4×C5—21no—
838C2×C4×C5—21no—
839C2×C4×C5—21no—
840C2×C4×C5—21no—
841C2×C4×C5—21no—
842C2×C4×C5—21no—
843C2×C4×C5—21no—
844C2×C4×C5—21no—
845C2×C4×C5—21no—
846C2×C4×C5—21no—
847C2×C4×C5—21no—
848C2×C4×C5—21no—
849C2×C4×C5—21no—
850C2×C4×C5—21no—
851C2×C4×C5—21no—
852C2×C4×C5—21no—
853C2×C4×C5—21no—
854C2×C4×C5—21no—
855C2×C4×C5—21no—
856C2×C4×C5—21no—
857C2×C4×C5—21no—
858C2×C4×C5—21no—
859C2×C4×C5—21no—
860C2×C4×C5—21no—
861C2×C4×C5—21no—
862C2×C4×C5—21no—
863C2×C4×C5—44no—
864C2×C4×C5—44no—
865C2×C4×C5—44no—
866C2×C4×C5—44no—
867C2×C4×C5—44no—
868C2×C4×C5—82no—
869C2×C4×C5—82no—
870C2×C4×C5—82no—
871C2×C4×C5—82no—
872C2×C4×C5—82no—
873C2×C4×C5—82no—
874C2×C4×C5H(5,𝔽2)12yes—
875C2×C4×C5H(5,𝔽2)12yes—
876C25C23×C511yescharacteristic
877C22×Q8C23×C511yescharacteristic
878C22×D4C23×C511yescharacteristic
879C22×D4C23×C511yescharacteristic
880C22×D4C23×C511yescharacteristic
881C22×D4C23×C511yescharacteristic
882C22×D4C23×C511yescharacteristic
883C22×D4C23×C511yescharacteristic
884C22×D4C23×C511yescharacteristic
885C23×C4—24no—
886C23×C4—42no—
887C23×C4—42no—
888C23×C4C23×C511yescharacteristic
889C23×C4C23×C511yescharacteristic
890C23×C4C23×C511yescharacteristic
891C23×C4C23×C511yescharacteristic
892C23×C4C23×C511yescharacteristic
893C23×C4C23×C511yescharacteristic
894C23×C4C23×C511yescharacteristic
895C23×C4C23×C511yescharacteristic
896C23×C4C23×C511yescharacteristic
897C23×C4C23×C511yescharacteristic
898C23×C4C23×C511yescharacteristic
899C23×C4C23×C511yescharacteristic
900#126—42no—
901#125—42no—
902#123—42no—
903#123—42no—
904#123—42no—
905#123—42no—
906#123—42no—
907C22⋊Q8—42no—
908C22⋊Q8—42no—
909#121—42no—
910#120—24no—
911#120—24no—
912C4×D4—42no—
913C4×D4—42no—
914C2×C4⋊C4—42no—
915C2×C4⋊C4—42no—
916C2×C4⋊C4C23×C511yescharacteristic
917C2×C4⋊C4C23×C511yescharacteristic
918C2×C4⋊C4C23×C511yescharacteristic
919C2×C4⋊C4C23×C511yescharacteristic
920C2×C4⋊C4C23×C511yescharacteristic
921C2×C4⋊C4C23×C511yescharacteristic
922C2×C4⋊C4C23×C511yescharacteristic
923C2×C4⋊C4C23×C511yescharacteristic
924C2×C4⋊C4C23×C511yescharacteristic
925C2×C4⋊C4C23×C511yescharacteristic
926C2×C4⋊C4C23×C511yescharacteristic
927C2×C4⋊C4C23×C511yescharacteristic
928C2×C4⋊C4C23×C511yescharacteristic
929C2×C4⋊C4C23×C511yescharacteristic
930C2×C4⋊C4C23×C511yescharacteristic
931C2×C4⋊C4C23×C511yescharacteristic
932C2×C4⋊C4C23×C511yescharacteristic
933C2×C4⋊C4C23×C511yescharacteristic
934C2×C4⋊C4C23×C511yescharacteristic
935C2×C4⋊C4C23×C511yescharacteristic
936C2×C4⋊C4C23×C511yescharacteristic
937C2×C4⋊C4C23×C511yescharacteristic
938C2×C4⋊C4C23×C511yescharacteristic
939C2×C4⋊C4C23×C511yescharacteristic
940C2×C4⋊C4C23×C511yescharacteristic
941C2×C4⋊C4C23×C511yescharacteristic
942C2×C4⋊C4C23×C511yescharacteristic
943C2×C4⋊C4C23×C511yescharacteristic
944C2×C4⋊C4C23×C511yescharacteristic
945C2×C4⋊C4C23×C511yescharacteristic
946C2×C4⋊C4C23×C511yescharacteristic
947C2×C4⋊C4C23×C511yescharacteristic
948C2×C4⋊C4C23×C511yescharacteristic
949C2×C4⋊C4C23×C511yescharacteristic
950C2×C22⋊C4—42no—
951C2×C22⋊C4—42no—
952C2×C22⋊C4C23×C511yescharacteristic
953C2×C22⋊C4C23×C511yescharacteristic
954C2×C22⋊C4C23×C511yescharacteristic
955C2×C22⋊C4C23×C511yescharacteristic
956C2×C22⋊C4C23×C511yescharacteristic
957C2×C22⋊C4C23×C511yescharacteristic
958C2×C22⋊C4C23×C511yescharacteristic
959C2×C22⋊C4C23×C511yescharacteristic
960C2×C22⋊C4C23×C511yescharacteristic
961C2×C22⋊C4C23×C511yescharacteristic
962C2×C22⋊C4C23×C511yescharacteristic
963C2×C22⋊C4C23×C511yescharacteristic
964C2×C22⋊C4C23×C511yescharacteristic
965C2×C22⋊C4C23×C511yescharacteristic
966C2×C22⋊C4C23×C511yescharacteristic
967C2×C22⋊C4C23×C511yescharacteristic
968C2×C22⋊C4C23×C511yescharacteristic
969C2×C22⋊C4C23×C511yescharacteristic
970C2×C22⋊C4C23×C511yescharacteristic
971C2×C22⋊C4C23×C511yescharacteristic
972C2×C22⋊C4C23×C511yescharacteristic
973C2×C22⋊C4C23×C511yescharacteristic
974C2×C22⋊C4C23×C511yescharacteristic
975C2×C22⋊C4C23×C511yescharacteristic
976C2×C22⋊C4C23×C511yescharacteristic
977C2×C22⋊C4C23×C511yescharacteristic
978C2×C22⋊C4C23×C511yescharacteristic
979C2×C22⋊C4C23×C511yescharacteristic
980C2×C22⋊C4C23×C511yescharacteristic
981C2×C22⋊C4C23×C511yescharacteristic
982C2×C22⋊C4C23×C511yescharacteristic
983C2×C22⋊C4C23×C511yescharacteristic
984C2×C22⋊C4C23×C511yescharacteristic
985C2×C22⋊C4C23×C511yescharacteristic
986C2×C22⋊C4C23×C511yescharacteristic
987C2×C22⋊C4C23×C511yescharacteristic
988C2×C22⋊C4C23×C511yescharacteristic
989C2×C22⋊C4C23×C511yescharacteristic
990C2×C22⋊C4C23×C511yescharacteristic
991C2×C22⋊C4C23×C511yescharacteristic
992C2×C22⋊C4C23×C511yescharacteristic
993C2×C22⋊C4C23×C511yescharacteristic
994C2×C22⋊C4C23×C511yescharacteristic
995C2×C22⋊C4C23×C511yescharacteristic
996C2×C22⋊C4C23×C511yescharacteristic
997C2×C22⋊C4C23×C511yescharacteristic
998C2×C42C23×C511yescharacteristic
999C2×C42C23×C511yescharacteristic
1000C2×C42C23×C511yescharacteristic
1001C2×C42C23×C511yescharacteristic
1002C2×C42C23×C511yescharacteristic
1003C2×C42C23×C511yescharacteristic
1004#95C23×C511yescharacteristic
1005#95C23×C511yescharacteristic
1006#95C23×C511yescharacteristic
1007#95C23×C511yescharacteristic
1008#95C23×C511yescharacteristic
1009#95C23×C511yescharacteristic
1010#95C23×C511yescharacteristic
1011#95C23×C511yescharacteristic
1012#95C23×C511yescharacteristic
1013#95C23×C511yescharacteristic
1014#95C23×C511yescharacteristic
1015#95C23×C511yescharacteristic
1016#95C23×C511yescharacteristic
1017#95C23×C511yescharacteristic
1018#95C23×C511yescharacteristic
1019#95C23×C511yescharacteristic
1020#95C23×C511yescharacteristic
1021#95C23×C511yescharacteristic
1022#95C23×C511yescharacteristic
1023#95C23×C511yescharacteristic
1024#95C23×C511yescharacteristic
1025#95C23×C511yescharacteristic
1026#95C23×C511yescharacteristic
1027#95C23×C511yescharacteristic
1028#95C23×C511yescharacteristic
1029#95C23×C511yescharacteristic
1030#95C23×C511yescharacteristic
1031#95C23×C511yescharacteristic
1032#95C23×C511yescharacteristic
1033#95C23×C511yescharacteristic
1034#95C23×C511yescharacteristic
1035#95C23×C511yescharacteristic
1036#95C23×C511yescharacteristic
1037#95C23×C511yescharacteristic
1038#95C23×C511yescharacteristic
1039#95C23×C511yescharacteristic
1040#95C23×C511yescharacteristic
1041#95C23×C511yescharacteristic
1042#95C23×C511yescharacteristic
1043#95C23×C511yescharacteristic
1044#95C23×C511yescharacteristic
1045#95C23×C511yescharacteristic
1046#95C23×C511yescharacteristic
1047#95C23×C511yescharacteristic
1048#95C23×C511yescharacteristic
1049#95C23×C511yescharacteristic
1050#95C23×C511yescharacteristic
1051#95C23×C511yescharacteristic
1052C22×C5—22no—
1053C22×C5—22no—
1054C22×C5—22no—
1055C22×C5—22no—
1056C22×C5—22no—
1057C22×C5—22no—
1058C22×C5—22no—
1059C22×C5—22no—
1060C22×C5—22no—
1061C22×C5—22no—
1062C22×C5—22no—
1063C22×C5—22no—
1064C22×C5—416no—
1065C22×C5—41no—
1066C22×C5—41no—
1067C22×C5—41no—
1068C22×C5—41no—
1069C22×C5—41no—
1070C22×C5—41no—
1071C22×C5—41no—
1072C22×C5—41no—
1073C22×C5—41no—
1074C22×C5—41no—
1075C22×C5—41no—
1076C22×C5—41no—
1077C22×C5—41no—
1078C22×C5—41no—
1079C22×C5—41no—
1080C22×C5—41no—
1081C22×C5—41no—
1082C22×C5—41no—
1083C22×C5—41no—
1084C22×C5—41no—
1085C22×C5—41no—
1086C22×C5—41no—
1087C22×C5#53914yes—
1088C22×C5C22×#4111yescharacteristic
1089C22×C5C2×H(5,𝔽2)11yescharacteristic
1090C22×C5C2×H(5,𝔽2)11yescharacteristic
1091C22×C5C2×H(5,𝔽2)11yescharacteristic
1092C22×C5C2×2−1+411yescharacteristic
1093C22×C5#58511yescharacteristic
1094C22×C5#58511yescharacteristic
1095C4×C5—22no—
1096C4×C5—22no—
1097C4×C5—41no—
1098C4×C5—41no—
1099C4×C5—41no—
1100C4×C5—41no—
1101C4×C5—41no—
1102C4×C5—41no—
1103C4×C5—41no—
1104C4×C5—41no—
1105C4×C5—41no—
1106C4×C5—41no—
1107C4×C5—41no—
1108C4×C5—41no—
1109C4×C5—41no—
1110C4×C5—41no—
1111C4×C5—41no—
1112C4×C5—41no—
1113C4×C5—41no—
1114C4×C5—41no—
1115C4×C5—41no—
1116C4×C5—41no—
1117C4×C5—41no—
1118C4×C5—41no—
1119C4×C5—41no—
1120C4×C5—41no—
1121C24—22no—
1122C24—22no—
1123C24—41no—
1124C24—41no—
1125C24—41no—
1126C24—41no—
1127C24C5×#4114yes—
1128C24C24×C511yescharacteristic
1129C24C24×C511yescharacteristic
1130C24C24×C511yescharacteristic
1131C24C24×C511yescharacteristic
1132C24C24×C511yescharacteristic
1133C2×Q8—41no—
1134C2×Q8—41no—
1135C2×Q8—41no—
1136C2×D4—22no—
1137C2×D4—22no—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—22no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—416no—
1194C22×C4C24×C511yescharacteristic
1195C22×C4C24×C511yescharacteristic
1196C22×C4C24×C511yescharacteristic
1197C22×C4C24×C511yescharacteristic
1198C22×C4C24×C511yescharacteristic
1199C22×C4C24×C511yescharacteristic
1200C22×C4C24×C511yescharacteristic
1201C22×C4C24×C511yescharacteristic
1202C22×C4C24×C511yescharacteristic
1203C22×C4C24×C511yescharacteristic
1204C22×C4C24×C511yescharacteristic
1205C22×C4C24×C511yescharacteristic
1206C22×C4C24×C511yescharacteristic
1207C22×C4C24×C511yescharacteristic
1208C22×C4C24×C511yescharacteristic
1209C22×C4C24×C511yescharacteristic
1210C22×C4C24×C511yescharacteristic
1211C22×C4C24×C511yescharacteristic
1212C22×C4C24×C511yescharacteristic
1213C22×C4C24×C511yescharacteristic
1214C22×C4C24×C511yescharacteristic
1215C22×C4C24×C511yescharacteristic
1216C22×C4C24×C511yescharacteristic
1217C22×C4C24×C511yescharacteristic
1218C22×C4C24×C511yescharacteristic
1219C22×C4C24×C511yescharacteristic
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C42—41no—
1301C42—41no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C2×C5—24no—
1307C2×C5—42no—
1308C2×C5—42no—
1309C2×C5—81no—
1310C2×C5—81no—
1311C2×C5C2×#53911yescharacteristic
1312C2×C5#349011yescharacteristic
1313C2×C5#349111yescharacteristic
1314C2×C5#354111yescharacteristic
1315C2×C5#354111yescharacteristic
1316C2×C5#354211yescharacteristic
1317C2×C5#354211yescharacteristic
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—28no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—44no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23C2×C5×#4112yes—
1356C23C2×C5×#4112yes—
1357C23C2×C5×#4112yes—
1358C23C5×H(5,𝔽2)12yes—
1359C23C5×2−1+412yes—
1360C23C25×C511yescharacteristic
1361Q8—82no—
1362D4—44no—
1363D4—44no—
1364D4—82no—
1365D4—82no—
1366D4—82no—
1367D4—82no—
1368D4—82no—
1369C2×C4—28no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—82no—
1452C2×C4—82no—
1453C2×C4—82no—
1454C2×C4—82no—
1455C2×C4—82no—
1456C2×C4—82no—
1457C2×C4C5×H(5,𝔽2)12yes—
1458C2×C4C5×H(5,𝔽2)12yes—
1459C5#3672611yescharacteristic, direct product factor, Sylow
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—416no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22C5×#53914yes—
1496C22C22×C5×#4111yescharacteristic
1497C22C2×C5×H(5,𝔽2)11yescharacteristic
1498C22C2×C5×H(5,𝔽2)11yescharacteristic
1499C22C2×C5×H(5,𝔽2)11yescharacteristic
1500C22C2×C5×2−1+411yescharacteristic
1501C22C5×#58511yescharacteristic
1502C22C5×#58511yescharacteristic
1503C4—22no—
1504C4—22no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C2—24no—
1530C2—42no—
1531C2—42no—
1532C2—81no—
1533C2—81no—
1534C2C2×C5×#53911yescharacteristic
1535C2C5×#349011yescharacteristic
1536C2C5×#349111yescharacteristic
1537C2C5×#354111yescharacteristic
1538C2C5×#354111yescharacteristic
1539C2C5×#354211yescharacteristic
1540C2C5×#354211yescharacteristic
subgroupG/H
center, socleC23×C5C25
commutator, Frattini, cosocleC23C25×C5
prime radicalC5×#2617C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C5 ◁ G

Complements

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

NH ≅ G/Ntype
1. C5×#2849C2semidirect
2. C5×#2849C2semidirect
3. C5×#2746C2semidirect
4. C5×#2745C2semidirect
5. C5×#2744C2semidirect
6. C5×#2743C2semidirect
7. C5×#2740C2semidirect
8. C5×#2739C2semidirect
9. C5×#2738C2semidirect
10. C5×#2737C2semidirect
11. C5×#2707C2semidirect
12. C5×#2706C2semidirect
13. C5×#2705C2semidirect
14. C5×#2696C2semidirect
15. C5×#2695C2semidirect
16. C5×#2694C2semidirect
17. C5×#2693C2semidirect
18. C5×#2687C2semidirect
19. C5×#2626C2semidirect
21. C5×#2510C2semidirect
22. C5×#2505C2semidirect
23. C5×#2481C2semidirect
24. C5×#2473C2semidirect
25. C5×#2450C2semidirect
26. C5×#2449C2semidirect
27. C5×#2444C2semidirect
28. C5×#2443C2semidirect
29. C5×#2321C2semidirect
30. C5×#2321C2semidirect
31. C2×C5×#380C2semidirect
33. C2×C5×#126C22semidirect
34. C2×C5×#125C22semidirect
39. C2×C5×#123C22semidirect
41. 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
63. C5×#399C22semidirect
64. C5×#399C22semidirect
65. C5×#398C22semidirect
66. C5×#398C22semidirect
67. C5×#398C22semidirect
68. C5×#398C22semidirect
69. C5×#398C22semidirect
70. C5×#398C22semidirect
71. C5×#398C22semidirect
74. C5×#397C22semidirect
75. C5×#397C22semidirect
76. C5×#397C22semidirect
77. C5×#397C22semidirect
78. C5×#397C22semidirect
79. C5×#397C22semidirect
84. C5×#396C22semidirect
85. C5×#396C22semidirect
86. C5×#396C22semidirect
87. C5×#395C22semidirect
92. C5×#394C22semidirect
93. C5×#394C22semidirect
96. C5×#393C22semidirect
99. C5×#391C22semidirect
104. C5×#389C22semidirect
105. C5×#389C22semidirect
106. C5×#389C22semidirect
115. C5×#388C22semidirect
116. C5×#388C22semidirect
117. C5×#388C22semidirect
118. C5×#388C22semidirect
119. C5×#388C22semidirect
120. C5×#387C22semidirect
121. C5×#387C22semidirect
122. C5×#387C22semidirect
123. C5×#387C22semidirect
124. C5×#387C22semidirect
125. C5×#387C22semidirect
126. C5×#387C22semidirect
127. C5×#387C22semidirect
128. C5×#387C22semidirect
129. C5×#387C22semidirect
130. C5×#387C22semidirect
147. C5×#386C22semidirect
160. C5×#385C22semidirect
161. C5×#385C22semidirect
162. C5×#385C22semidirect
163. C5×#383C22semidirect
164. C5×#382C22semidirect
169. C5×#381C22semidirect
180. C5×#380C22semidirect
187. #36726C5direct (N × H)
364. #2849C2×C5semidirect
365. #2849C2×C5semidirect
366. #2746C2×C5semidirect
367. #2745C2×C5semidirect
368. #2744C2×C5semidirect
369. #2743C2×C5semidirect
370. #2740C2×C5semidirect
371. #2739C2×C5semidirect
372. #2738C2×C5semidirect
373. #2737C2×C5semidirect
374. #2707C2×C5semidirect
375. #2706C2×C5semidirect
376. #2705C2×C5semidirect
377. #2696C2×C5semidirect
378. #2695C2×C5semidirect
379. #2694C2×C5semidirect
380. #2693C2×C5semidirect
381. #2687C2×C5semidirect
382. #2626C2×C5semidirect
384. #2510C2×C5semidirect
385. #2505C2×C5semidirect
386. #2481C2×C5semidirect
387. #2473C2×C5semidirect
388. #2450C2×C5semidirect
389. #2449C2×C5semidirect
390. #2444C2×C5semidirect
391. #2443C2×C5semidirect
392. #2321C2×C5semidirect
393. #2321C2×C5semidirect
394. C2×#380C2×C5semidirect
581. C2×#126C22×C5semidirect
582. C2×#125C22×C5semidirect
587. C2×#123C22×C5semidirect
589. C2×C22⋊Q8C22×C5semidirect
599. #401C22×C5semidirect
600. #400C22×C5semidirect
601. #400C22×C5semidirect
602. #400C22×C5semidirect
603. #400C22×C5semidirect
604. #400C22×C5semidirect
605. #400C22×C5semidirect
606. #400C22×C5semidirect
607. #400C22×C5semidirect
608. #400C22×C5semidirect
611. #399C22×C5semidirect
612. #399C22×C5semidirect
613. #398C22×C5semidirect
614. #398C22×C5semidirect
615. #398C22×C5semidirect
616. #398C22×C5semidirect
617. #398C22×C5semidirect
618. #398C22×C5semidirect
619. #398C22×C5semidirect
622. #397C22×C5semidirect
623. #397C22×C5semidirect
624. #397C22×C5semidirect
625. #397C22×C5semidirect
626. #397C22×C5semidirect
627. #397C22×C5semidirect
632. #396C22×C5semidirect
633. #396C22×C5semidirect
634. #396C22×C5semidirect
635. #395C22×C5semidirect
640. #394C22×C5semidirect
641. #394C22×C5semidirect
644. #393C22×C5semidirect
647. #391C22×C5semidirect
652. #389C22×C5semidirect
653. #389C22×C5semidirect
654. #389C22×C5semidirect
663. #388C22×C5semidirect
664. #388C22×C5semidirect
665. #388C22×C5semidirect
666. #388C22×C5semidirect
667. #388C22×C5semidirect
668. #387C22×C5semidirect
669. #387C22×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
695. #386C22×C5semidirect
708. #385C22×C5semidirect
709. #385C22×C5semidirect
710. #385C22×C5semidirect
711. #383C22×C5semidirect
712. #382C22×C5semidirect
717. #381C22×C5semidirect
728. #380C22×C5semidirect
1459. C5#36726direct (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×#27462
C5×#27452
C5×#27442
C5×#27432
C5×#27402
C5×#27392
C5×#27382
C5×#27372
C5×#27072
C5×#27062
C5×#27052
C5×#26962
C5×#26952
C5×#26942
C5×#26932
C5×#26872
C5×#26262
C5×#26172
C5×#25102
C5×#25052
C5×#24812
C5×#24732
C5×#24502
C5×#24492
C5×#24442
C5×#24432
C5×#23212
C2×C5×#3802
#367265