Finite Group Databasebeta

← C5×#36780 #11959500

Subgroups — C5×#36780 #11959500

Order 1280.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2852C211yesmaximal, characteristic, complemented
2C5×#2851C211yesmaximal, characteristic, complemented
3C5×#2786C211yesmaximal, characteristic, complemented
4C5×#2782C211yesmaximal, characteristic, complemented
5C5×#2770C211yesmaximal, characteristic, complemented
6C5×#2770C211yesmaximal, characteristic, complemented
7C5×#2747C211yesmaximal, characteristic, complemented
8C5×#2746C211yesmaximal, characteristic, complemented
9C5×#2745C211yesmaximal, characteristic, complemented
10C5×#2744C211yesmaximal, characteristic, complemented
11C5×#2744C211yesmaximal, characteristic, complemented
12C5×#2743C211yesmaximal, characteristic, complemented
13C5×#2738C211yesmaximal, characteristic, complemented
14C5×#2737C211yesmaximal, characteristic, complemented
15C5×#2723C211yesmaximal, characteristic, complemented
16C5×#2695C211yesmaximal, characteristic, complemented
17C5×#2694C211yesmaximal, characteristic, complemented
18C5×#2690C211yesmaximal, characteristic, complemented
19C5×#2627C211yesmaximal, characteristic, complemented
20C5×#2623C211yesmaximal, characteristic, complemented
21C5×#2505C211yesmaximal, characteristic, complemented
22C5×#2493C211yesmaximal, characteristic, complemented
23C5×#2483C211yesmaximal, characteristic, complemented
24C5×#2450C211yesmaximal, characteristic, complemented
25C5×#2437C211yesmaximal, characteristic, complemented
26C5×#2419C211yesmaximal, characteristic, complemented
27C5×#2412C211yesmaximal, characteristic
28C5×#2412C211yesmaximal, characteristic
29C5×#2321C211yesmaximal, characteristic
30C5×#2315C211yesmaximal, characteristic, complemented
31C2×C5×#388C211yesmaximal, characteristic, complemented
32C2×C5×#126C2211yescharacteristic, complemented
33C2×C5×#125C2211yescharacteristic, complemented
34C2×C5×#123C2211yescharacteristic
35C2×C5×#123C2211yescharacteristic
36C2×C5×C22⋊Q8C2211yescharacteristic
37C2×C5×C22⋊Q8C2211yescharacteristic
38C2×C5×#120C2211yescharacteristic
39C2×C4×C5×D4C2211yescharacteristic
40C22×C5×C4⋊C4C2211yescharacteristic
41C22×C5×C22⋊C4C2211yescharacteristic
42C22×C5×C22⋊C4C2211yescharacteristic
43C22×C5×C22⋊C4C2211yescharacteristic
44C22×C5×C22⋊C4C2211yescharacteristic
45C22×C5×C22⋊C4C2211yescharacteristic
46C22×C42×C5C2211yescharacteristic
47C5×#401C2211yescharacteristic, complemented
48C5×#400C2211yescharacteristic, complemented
49C5×#400C2211yescharacteristic, complemented
50C5×#400C2211yescharacteristic, complemented
51C5×#400C2211yescharacteristic, 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×#399C2211yescharacteristic
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×#397C2211yescharacteristic
73C5×#397C2211yescharacteristic
74C5×#397C2211yescharacteristic
75C5×#397C2211yescharacteristic
76C5×#397C2211yescharacteristic
77C5×#397C2211yescharacteristic
78C5×#397C2211yescharacteristic
79C5×#397C2211yescharacteristic
80C5×#397C2211yescharacteristic, complemented
81C5×#397C2211yescharacteristic, complemented
82C5×#397C2211yescharacteristic, complemented
83C5×#397C2211yescharacteristic, complemented
84C5×#396C2211yescharacteristic
85C5×#396C2211yescharacteristic
86C5×#396C2211yescharacteristic, complemented
87C5×#395C2211yescharacteristic, complemented
88C5×#395C2211yescharacteristic, complemented
89C5×#394C2211yescharacteristic
90C5×#394C2211yescharacteristic
91C5×#394C2211yescharacteristic
92C5×#394C2211yescharacteristic
93C5×#393C2211yescharacteristic
94C5×#393C2211yescharacteristic, complemented
95C5×#391C2211yescharacteristic, complemented
96C5×#390C2211yescharacteristic
97C5×#390C2211yescharacteristic
98C5×#389C2211yescharacteristic, complemented
99C5×#389C2211yescharacteristic, complemented
100C5×#389C2211yescharacteristic, complemented
101C5×#388C2211yescharacteristic
102C5×#388C2211yescharacteristic
103C5×#388C2211yescharacteristic
104C5×#388C2211yescharacteristic
105C5×#388C2211yescharacteristic
106C5×#388C2211yescharacteristic
107C5×#388C2211yescharacteristic
108C5×#388C2211yescharacteristic
109C5×#388C2211yescharacteristic
110C5×#388C2211yescharacteristic
111C5×#388C2211yescharacteristic
112C5×#388C2211yescharacteristic
113C5×#388C2211yescharacteristic, complemented
114C5×#388C2211yescharacteristic, complemented
115C5×#388C2211yescharacteristic, complemented
116C5×#387C2211yescharacteristic, complemented
117C5×#387C2211yescharacteristic, complemented
118C5×#387C2211yescharacteristic, complemented
119C5×#387C2211yescharacteristic, complemented
120C5×#387C2211yescharacteristic, complemented
121C5×#387C2211yescharacteristic, complemented
122C5×#387C2211yescharacteristic, complemented
123C5×#387C2211yescharacteristic, complemented
124C5×#387C2211yescharacteristic, complemented
125C5×#387C2211yescharacteristic, complemented
126C5×#387C2211yescharacteristic, complemented
127C5×#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×#385C2211yescharacteristic
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, complemented
160C5×#385C2211yescharacteristic, complemented
161C5×#383C2211yescharacteristic, complemented
162C5×#383C2211yescharacteristic, complemented
163C5×#382C2211yescharacteristic, complemented
164C5×#382C2211yescharacteristic, complemented
165C5×#381C2211yescharacteristic
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
178C5×#380C2211yescharacteristic
179C5×#380C2211yescharacteristic
180C5×#380C2211yescharacteristic
181C5×#380C2211yescharacteristic
182C5×#380C2211yescharacteristic, complemented
183C5×#379C2211yescharacteristic
184C4×C5×C22⋊C4C2211yescharacteristic
185C2×C5×#95C2211yescharacteristic
186C2×C5×#95C2211yescharacteristic
187#36780C511yesmaximal, characteristic, direct product factor, Sylow
188C25×C5C2311yescharacteristic
189C22×C5×Q8C2311yescharacteristic
190C22×C5×D4C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C23×C4×C5C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
201C23×C4×C5C2311yescharacteristic
202C23×C4×C5C2311yescharacteristic
203C23×C4×C5C2311yescharacteristic
204C5×#126—42no—
205C5×#125—42no—
206C5×#123—42no—
207C5×#123—42no—
208C5×C22⋊Q8—42no—
209C5×C22⋊Q8—42no—
210C5×#120—24no—
211C4×C5×D4—42no—
212C2×C5×C4⋊C4—42no—
213C2×C5×C4⋊C4C2311yescharacteristic
214C2×C5×C4⋊C4C2311yescharacteristic
215C2×C5×C4⋊C4C2311yescharacteristic
216C2×C5×C4⋊C4C2311yescharacteristic
217C2×C5×C4⋊C4C2311yescharacteristic
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C4⋊C4C2311yescharacteristic
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C4⋊C4C2311yescharacteristic
223C2×C5×C4⋊C4C2311yescharacteristic
224C2×C5×C4⋊C4C2311yescharacteristic
225C2×C5×C4⋊C4C2311yescharacteristic
226C2×C5×C4⋊C4C2311yescharacteristic
227C2×C5×C4⋊C4C2311yescharacteristic
228C2×C5×C4⋊C4C2311yescharacteristic
229C2×C5×C4⋊C4C2311yescharacteristic
230C2×C5×C4⋊C4C2311yescharacteristic
231C2×C5×C4⋊C4C2311yescharacteristic
232C2×C5×C4⋊C4C2311yescharacteristic
233C2×C5×C4⋊C4C2311yescharacteristic
234C2×C5×C4⋊C4C2311yescharacteristic
235C2×C5×C4⋊C4C2311yescharacteristic
236C2×C5×C4⋊C4C2311yescharacteristic
237C2×C5×C4⋊C4C2311yescharacteristic
238C2×C5×C4⋊C4C2311yescharacteristic
239C2×C5×C4⋊C4C2311yescharacteristic
240C2×C5×C4⋊C4C2311yescharacteristic
241C2×C5×C4⋊C4C2311yescharacteristic
242C2×C5×C4⋊C4C2311yescharacteristic
243C2×C5×C4⋊C4C2311yescharacteristic
244C2×C5×C4⋊C4C2311yescharacteristic
245C2×C5×C4⋊C4C2311yescharacteristic
246C2×C5×C4⋊C4C2311yescharacteristic
247C2×C5×C4⋊C4C2311yescharacteristic
248C2×C5×C4⋊C4C2311yescharacteristic
249C2×C5×C22⋊C4—24no—
250C2×C5×C22⋊C4—24no—
251C2×C5×C22⋊C4—42no—
252C2×C5×C22⋊C4—42no—
253C2×C5×C22⋊C4—42no—
254C2×C5×C22⋊C4C2311yescharacteristic
255C2×C5×C22⋊C4C2311yescharacteristic
256C2×C5×C22⋊C4C2311yescharacteristic
257C2×C5×C22⋊C4C2311yescharacteristic
258C2×C5×C22⋊C4C2311yescharacteristic
259C2×C5×C22⋊C4C2311yescharacteristic
260C2×C5×C22⋊C4C2311yescharacteristic
261C2×C5×C22⋊C4C2311yescharacteristic
262C2×C5×C22⋊C4C2311yescharacteristic
263C2×C5×C22⋊C4C2311yescharacteristic
264C2×C5×C22⋊C4C2311yescharacteristic
265C2×C5×C22⋊C4C2311yescharacteristic
266C2×C5×C22⋊C4C2311yescharacteristic
267C2×C5×C22⋊C4C2311yescharacteristic
268C2×C5×C22⋊C4C2311yescharacteristic
269C2×C5×C22⋊C4C2311yescharacteristic
270C2×C5×C22⋊C4C2311yescharacteristic
271C2×C5×C22⋊C4C2311yescharacteristic
272C2×C5×C22⋊C4C2311yescharacteristic
273C2×C5×C22⋊C4C2311yescharacteristic
274C2×C5×C22⋊C4C2311yescharacteristic
275C2×C5×C22⋊C4C2311yescharacteristic
276C2×C5×C22⋊C4C2311yescharacteristic
277C2×C5×C22⋊C4C2311yescharacteristic
278C2×C5×C22⋊C4C2311yescharacteristic
279C2×C5×C22⋊C4C2311yescharacteristic
280C2×C5×C22⋊C4C2311yescharacteristic
281C2×C5×C22⋊C4C2311yescharacteristic
282C2×C5×C22⋊C4C2311yescharacteristic
283C2×C5×C22⋊C4C2311yescharacteristic
284C2×C5×C22⋊C4C2311yescharacteristic
285C2×C5×C22⋊C4C2311yescharacteristic
286C2×C5×C22⋊C4C2311yescharacteristic
287C2×C5×C22⋊C4C2311yescharacteristic
288C2×C5×C22⋊C4C2311yescharacteristic
289C2×C5×C22⋊C4C2311yescharacteristic
290C2×C5×C22⋊C4C2311yescharacteristic
291C2×C5×C22⋊C4C2311yescharacteristic
292C2×C5×C22⋊C4C2311yescharacteristic
293C2×C5×C22⋊C4C2311yescharacteristic
294C2×C42×C5—42no—
295C2×C42×C5C2311yescharacteristic
296C2×C42×C5C2311yescharacteristic
297C2×C42×C5C2311yescharacteristic
298C2×C42×C5C2311yescharacteristic
299C2×C42×C5C2311yescharacteristic
300C2×C42×C5C2311yescharacteristic
301C2×C42×C5C2311yescharacteristic
302C5×#95C2311yescharacteristic
303C5×#95C2311yescharacteristic
304C5×#95C2311yescharacteristic
305C5×#95C2311yescharacteristic
306C5×#95C2311yescharacteristic
307C5×#95C2311yescharacteristic
308C5×#95C2311yescharacteristic
309C5×#95C2311yescharacteristic
310C5×#95C2311yescharacteristic
311C5×#95C2311yescharacteristic
312C5×#95C2311yescharacteristic
313C5×#95C2311yescharacteristic
314C5×#95C2311yescharacteristic
315C5×#95C2311yescharacteristic
316C5×#95C2311yescharacteristic
317C5×#95C2311yescharacteristic
318C5×#95C2311yescharacteristic
319C5×#95C2311yescharacteristic
320C5×#95C2311yescharacteristic
321C5×#95C2311yescharacteristic
322C5×#95C2311yescharacteristic
323C5×#95C2311yescharacteristic
324C5×#95C2311yescharacteristic
325C5×#95C2311yescharacteristic
326C5×#95C2311yescharacteristic
327C5×#95C2311yescharacteristic
328C5×#95C2311yescharacteristic
329C5×#95C2311yescharacteristic
330C5×#95C2311yescharacteristic
331C5×#95C2311yescharacteristic
332C5×#95C2311yescharacteristic
333C5×#95C2311yescharacteristic
334C5×#95C2311yescharacteristic
335C5×#95C2311yescharacteristic
336C5×#95C2311yescharacteristic
337C5×#95C2311yescharacteristic
338C5×#95C2311yescharacteristic
339C5×#95C2311yescharacteristic
340C5×#95C2311yescharacteristic
341C5×#95C2311yescharacteristic
342C5×#95C2311yescharacteristic
343C5×#95C2311yescharacteristic
344C5×#95C2311yescharacteristic
345C5×#95C2311yescharacteristic
346C5×#95C2311yescharacteristic
347C5×#95C2311yescharacteristic
348C5×#95C2311yescharacteristic
349C5×#95C2311yescharacteristic
350C5×#95C2311yescharacteristic
351C5×#95C2311yescharacteristic
352C5×#95C2311yescharacteristic
353C5×#95C2311yescharacteristic
354C5×#95C2311yescharacteristic
355C5×#95C2311yescharacteristic
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358#2852C2×C511yescharacteristic, complemented
359#2851C2×C511yescharacteristic, complemented
360#2786C2×C511yescharacteristic, complemented
361#2782C2×C511yescharacteristic, complemented
362#2770C2×C511yescharacteristic, complemented
363#2770C2×C511yescharacteristic, complemented
364#2747C2×C511yescharacteristic, complemented
365#2746C2×C511yescharacteristic, complemented
366#2745C2×C511yescharacteristic, complemented
367#2744C2×C511yescharacteristic, complemented
368#2744C2×C511yescharacteristic, complemented
369#2743C2×C511yescharacteristic, complemented
370#2738C2×C511yescharacteristic, complemented
371#2737C2×C511yescharacteristic, complemented
372#2723C2×C511yescharacteristic, complemented
373#2695C2×C511yescharacteristic, complemented
374#2694C2×C511yescharacteristic, complemented
375#2690C2×C511yescharacteristic, complemented
376#2627C2×C511yescharacteristic, complemented
377#2623C2×C511yescharacteristic, complemented
378#2505C2×C511yescharacteristic, complemented
379#2493C2×C511yescharacteristic, complemented
380#2483C2×C511yescharacteristic, complemented
381#2450C2×C511yescharacteristic, complemented
382#2437C2×C511yescharacteristic, complemented
383#2419C2×C511yescharacteristic, complemented
384#2412C2×C511yescharacteristic
385#2412C2×C511yescharacteristic
386#2321C2×C511yescharacteristic
387#2315C2×C511yescharacteristic, complemented
388C2×#388C2×C511yescharacteristic, complemented
389C24×C5—22no—
390C24×C5—22no—
391C24×C5—41no—
392C24×C5—41no—
393C24×C5—41no—
394C24×C5—41no—
395C24×C5#4114yes—
396C24×C5C2411yescharacteristic
397C24×C5C2411yescharacteristic
398C24×C5C2411yescharacteristic
399C24×C5C2411yescharacteristic
400C2×C5×Q8—41no—
401C2×C5×Q8—41no—
402C2×C5×Q8—41no—
403C2×C5×D4—22no—
404C2×C5×D4—22no—
405C2×C5×D4—22no—
406C2×C5×D4—22no—
407C2×C5×D4—22no—
408C2×C5×D4—41no—
409C2×C5×D4—41no—
410C2×C5×D4—41no—
411C2×C5×D4—41no—
412C22×C4×C5—22no—
413C22×C4×C5—22no—
414C22×C4×C5—22no—
415C22×C4×C5—22no—
416C22×C4×C5—22no—
417C22×C4×C5—22no—
418C22×C4×C5—22no—
419C22×C4×C5—22no—
420C22×C4×C5—22no—
421C22×C4×C5—22no—
422C22×C4×C5—22no—
423C22×C4×C5—41no—
424C22×C4×C5—41no—
425C22×C4×C5—41no—
426C22×C4×C5—41no—
427C22×C4×C5—41no—
428C22×C4×C5—41no—
429C22×C4×C5—41no—
430C22×C4×C5—41no—
431C22×C4×C5—41no—
432C22×C4×C5—41no—
433C22×C4×C5—41no—
434C22×C4×C5—41no—
435C22×C4×C5—41no—
436C22×C4×C5—41no—
437C22×C4×C5—41no—
438C22×C4×C5—41no—
439C22×C4×C5—41no—
440C22×C4×C5—41no—
441C22×C4×C5—41no—
442C22×C4×C5—41no—
443C22×C4×C5—41no—
444C22×C4×C5—41no—
445C22×C4×C5C2411yescharacteristic
446C22×C4×C5C2411yescharacteristic
447C22×C4×C5C2411yescharacteristic
448C22×C4×C5C2411yescharacteristic
449C22×C4×C5C2411yescharacteristic
450C22×C4×C5C2411yescharacteristic
451C22×C4×C5C2411yescharacteristic
452C22×C4×C5C2411yescharacteristic
453C22×C4×C5C2411yescharacteristic
454C22×C4×C5C2411yescharacteristic
455C22×C4×C5C2411yescharacteristic
456C22×C4×C5C2411yescharacteristic
457C22×C4×C5C2411yescharacteristic
458C22×C4×C5C2411yescharacteristic
459C22×C4×C5C2411yescharacteristic
460C22×C4×C5C2411yescharacteristic
461C22×C4×C5C2411yescharacteristic
462C22×C4×C5C2411yescharacteristic
463C22×C4×C5C2411yescharacteristic
464C22×C4×C5C2411yescharacteristic
465C22×C4×C5C2411yescharacteristic
466C22×C4×C5C2411yescharacteristic
467C22×C4×C5C2411yescharacteristic
468C22×C4×C5C2411yescharacteristic
469C22×C4×C5C2411yescharacteristic
470C22×C4×C5C2411yescharacteristic
471C22×C4×C5C2411yescharacteristic
472C5×C4⋊C4—22no—
473C5×C4⋊C4—22no—
474C5×C4⋊C4—22no—
475C5×C4⋊C4—41no—
476C5×C4⋊C4—41no—
477C5×C4⋊C4—41no—
478C5×C4⋊C4—41no—
479C5×C4⋊C4—41no—
480C5×C4⋊C4—41no—
481C5×C4⋊C4—41no—
482C5×C4⋊C4—41no—
483C5×C4⋊C4—41no—
484C5×C4⋊C4—41no—
485C5×C4⋊C4—41no—
486C5×C4⋊C4—41no—
487C5×C4⋊C4—41no—
488C5×C4⋊C4—41no—
489C5×C4⋊C4—41no—
490C5×C4⋊C4—41no—
491C5×C4⋊C4—41no—
492C5×C4⋊C4—41no—
493C5×C4⋊C4—41no—
494C5×C4⋊C4—41no—
495C5×C4⋊C4—41no—
496C5×C4⋊C4—41no—
497C5×C4⋊C4—41no—
498C5×C4⋊C4—41no—
499C5×C4⋊C4—41no—
500C5×C4⋊C4—41no—
501C5×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×C22⋊C4—22no—
509C5×C22⋊C4—22no—
510C5×C22⋊C4—22no—
511C5×C22⋊C4—22no—
512C5×C22⋊C4—22no—
513C5×C22⋊C4—22no—
514C5×C22⋊C4—22no—
515C5×C22⋊C4—22no—
516C5×C22⋊C4—22no—
517C5×C22⋊C4—22no—
518C5×C22⋊C4—22no—
519C5×C22⋊C4—22no—
520C5×C22⋊C4—22no—
521C5×C22⋊C4—22no—
522C5×C22⋊C4—22no—
523C5×C22⋊C4—22no—
524C5×C22⋊C4—22no—
525C5×C22⋊C4—22no—
526C5×C22⋊C4—41no—
527C5×C22⋊C4—41no—
528C5×C22⋊C4—41no—
529C5×C22⋊C4—41no—
530C5×C22⋊C4—41no—
531C5×C22⋊C4—41no—
532C5×C22⋊C4—41no—
533C5×C22⋊C4—41no—
534C5×C22⋊C4—41no—
535C5×C22⋊C4—41no—
536C5×C22⋊C4—41no—
537C5×C22⋊C4—41no—
538C5×C22⋊C4—41no—
539C5×C22⋊C4—41no—
540C5×C22⋊C4—41no—
541C5×C22⋊C4—41no—
542C5×C22⋊C4—41no—
543C5×C22⋊C4—41no—
544C5×C22⋊C4—41no—
545C5×C22⋊C4—41no—
546C5×C22⋊C4—41no—
547C5×C22⋊C4—41no—
548C42×C5—22no—
549C42×C5—22no—
550C42×C5—41no—
551C42×C5—41no—
552C42×C5—41no—
553C42×C5—41no—
554C42×C5—41no—
555C2×#126C22×C511yescharacteristic, complemented
556C2×#125C22×C511yescharacteristic, complemented
557C2×#123C22×C511yescharacteristic
558C2×#123C22×C511yescharacteristic
559C2×C22⋊Q8C22×C511yescharacteristic
560C2×C22⋊Q8C22×C511yescharacteristic
561C2×#120C22×C511yescharacteristic
562C2×C4×D4C22×C511yescharacteristic
563C22×C4⋊C4C22×C511yescharacteristic
564C22×C22⋊C4C22×C511yescharacteristic
565C22×C22⋊C4C22×C511yescharacteristic
566C22×C22⋊C4C22×C511yescharacteristic
567C22×C22⋊C4C22×C511yescharacteristic
568C22×C22⋊C4C22×C511yescharacteristic
569C22×C42C22×C511yescharacteristic
570#401C22×C511yescharacteristic, complemented
571#400C22×C511yescharacteristic, complemented
572#400C22×C511yescharacteristic, complemented
573#400C22×C511yescharacteristic, complemented
574#400C22×C511yescharacteristic, complemented
575#400C22×C511yescharacteristic, complemented
576#400C22×C511yescharacteristic, complemented
577#400C22×C511yescharacteristic, complemented
578#400C22×C511yescharacteristic, complemented
579#400C22×C511yescharacteristic, complemented
580#400C22×C511yescharacteristic, complemented
581#400C22×C511yescharacteristic, complemented
582#400C22×C511yescharacteristic, complemented
583#399C22×C511yescharacteristic
584#399C22×C511yescharacteristic, complemented
585#399C22×C511yescharacteristic, complemented
586#398C22×C511yescharacteristic, complemented
587#398C22×C511yescharacteristic, complemented
588#398C22×C511yescharacteristic, complemented
589#398C22×C511yescharacteristic, complemented
590#398C22×C511yescharacteristic, complemented
591#398C22×C511yescharacteristic, complemented
592#398C22×C511yescharacteristic, complemented
593#398C22×C511yescharacteristic, complemented
594#398C22×C511yescharacteristic, complemented
595#397C22×C511yescharacteristic
596#397C22×C511yescharacteristic
597#397C22×C511yescharacteristic
598#397C22×C511yescharacteristic
599#397C22×C511yescharacteristic
600#397C22×C511yescharacteristic
601#397C22×C511yescharacteristic
602#397C22×C511yescharacteristic
603#397C22×C511yescharacteristic, complemented
604#397C22×C511yescharacteristic, complemented
605#397C22×C511yescharacteristic, complemented
606#397C22×C511yescharacteristic, complemented
607#396C22×C511yescharacteristic
608#396C22×C511yescharacteristic
609#396C22×C511yescharacteristic, complemented
610#395C22×C511yescharacteristic, complemented
611#395C22×C511yescharacteristic, complemented
612#394C22×C511yescharacteristic
613#394C22×C511yescharacteristic
614#394C22×C511yescharacteristic
615#394C22×C511yescharacteristic
616#393C22×C511yescharacteristic
617#393C22×C511yescharacteristic, complemented
618#391C22×C511yescharacteristic, complemented
619#390C22×C511yescharacteristic
620#390C22×C511yescharacteristic
621#389C22×C511yescharacteristic, complemented
622#389C22×C511yescharacteristic, complemented
623#389C22×C511yescharacteristic, complemented
624#388C22×C511yescharacteristic
625#388C22×C511yescharacteristic
626#388C22×C511yescharacteristic
627#388C22×C511yescharacteristic
628#388C22×C511yescharacteristic
629#388C22×C511yescharacteristic
630#388C22×C511yescharacteristic
631#388C22×C511yescharacteristic
632#388C22×C511yescharacteristic
633#388C22×C511yescharacteristic
634#388C22×C511yescharacteristic
635#388C22×C511yescharacteristic
636#388C22×C511yescharacteristic, complemented
637#388C22×C511yescharacteristic, complemented
638#388C22×C511yescharacteristic, complemented
639#387C22×C511yescharacteristic, complemented
640#387C22×C511yescharacteristic, complemented
641#387C22×C511yescharacteristic, complemented
642#387C22×C511yescharacteristic, complemented
643#387C22×C511yescharacteristic, complemented
644#387C22×C511yescharacteristic, complemented
645#387C22×C511yescharacteristic, complemented
646#387C22×C511yescharacteristic, complemented
647#387C22×C511yescharacteristic, complemented
648#387C22×C511yescharacteristic, complemented
649#387C22×C511yescharacteristic, complemented
650#387C22×C511yescharacteristic, complemented
651#387C22×C511yescharacteristic, complemented
652#387C22×C511yescharacteristic, complemented
653#387C22×C511yescharacteristic, complemented
654#386C22×C511yescharacteristic
655#386C22×C511yescharacteristic
656#386C22×C511yescharacteristic
657#386C22×C511yescharacteristic
658#386C22×C511yescharacteristic
659#386C22×C511yescharacteristic
660#386C22×C511yescharacteristic
661#386C22×C511yescharacteristic
662#386C22×C511yescharacteristic
663#385C22×C511yescharacteristic
664#385C22×C511yescharacteristic
665#385C22×C511yescharacteristic
666#385C22×C511yescharacteristic
667#385C22×C511yescharacteristic
668#385C22×C511yescharacteristic
669#385C22×C511yescharacteristic
670#385C22×C511yescharacteristic
671#385C22×C511yescharacteristic
672#385C22×C511yescharacteristic
673#385C22×C511yescharacteristic
674#385C22×C511yescharacteristic
675#385C22×C511yescharacteristic
676#385C22×C511yescharacteristic
677#385C22×C511yescharacteristic
678#385C22×C511yescharacteristic
679#385C22×C511yescharacteristic
680#385C22×C511yescharacteristic
681#385C22×C511yescharacteristic
682#385C22×C511yescharacteristic, complemented
683#385C22×C511yescharacteristic, complemented
684#383C22×C511yescharacteristic, complemented
685#383C22×C511yescharacteristic, complemented
686#382C22×C511yescharacteristic, complemented
687#382C22×C511yescharacteristic, complemented
688#381C22×C511yescharacteristic
689#381C22×C511yescharacteristic
690#381C22×C511yescharacteristic
691#381C22×C511yescharacteristic
692#381C22×C511yescharacteristic
693#381C22×C511yescharacteristic
694#381C22×C511yescharacteristic, complemented
695#380C22×C511yescharacteristic
696#380C22×C511yescharacteristic
697#380C22×C511yescharacteristic
698#380C22×C511yescharacteristic
699#380C22×C511yescharacteristic
700#380C22×C511yescharacteristic
701#380C22×C511yescharacteristic
702#380C22×C511yescharacteristic
703#380C22×C511yescharacteristic
704#380C22×C511yescharacteristic
705#380C22×C511yescharacteristic, complemented
706#379C22×C511yescharacteristic
707C4×C22⋊C4C22×C511yescharacteristic
708C2×#95C22×C511yescharacteristic
709C2×#95C22×C511yescharacteristic
710C23×C5—21no—
711C23×C5—21no—
712C23×C5—21no—
713C23×C5—21no—
714C23×C5—21no—
715C23×C5—21no—
716C23×C5—21no—
717C23×C5—21no—
718C23×C5—21no—
719C23×C5—21no—
720C23×C5—21no—
721C23×C5—21no—
722C23×C5—21no—
723C23×C5—21no—
724C23×C5—21no—
725C23×C5—21no—
726C23×C5—28no—
727C23×C5—21no—
728C23×C5—21no—
729C23×C5—21no—
730C23×C5—21no—
731C23×C5—21no—
732C23×C5—21no—
733C23×C5—21no—
734C23×C5—44no—
735C23×C5—44no—
736C23×C5—82no—
737C23×C5—82no—
738C23×C5—82no—
739C23×C5—82no—
740C23×C5C2×#4112yes—
741C23×C5C2×#4112yes—
742C23×C5C2×#4112yes—
743C23×C5H(5,𝔽2)12yes—
744C23×C52−1+412yes—
745C23×C5C2511yescharacteristic
746C5×Q8—82no—
747C5×D4—44no—
748C5×D4—82no—
749C5×D4—82no—
750C2×C4×C5—21no—
751C2×C4×C5—21no—
752C2×C4×C5—21no—
753C2×C4×C5—21no—
754C2×C4×C5—21no—
755C2×C4×C5—21no—
756C2×C4×C5—21no—
757C2×C4×C5—21no—
758C2×C4×C5—21no—
759C2×C4×C5—21no—
760C2×C4×C5—21no—
761C2×C4×C5—21no—
762C2×C4×C5—21no—
763C2×C4×C5—21no—
764C2×C4×C5—21no—
765C2×C4×C5—21no—
766C2×C4×C5—21no—
767C2×C4×C5—21no—
768C2×C4×C5—21no—
769C2×C4×C5—21no—
770C2×C4×C5—21no—
771C2×C4×C5—21no—
772C2×C4×C5—21no—
773C2×C4×C5—21no—
774C2×C4×C5—21no—
775C2×C4×C5—21no—
776C2×C4×C5—21no—
777C2×C4×C5—21no—
778C2×C4×C5—21no—
779C2×C4×C5—21no—
780C2×C4×C5—21no—
781C2×C4×C5—21no—
782C2×C4×C5—21no—
783C2×C4×C5—21no—
784C2×C4×C5—21no—
785C2×C4×C5—21no—
786C2×C4×C5—21no—
787C2×C4×C5—21no—
788C2×C4×C5—21no—
789C2×C4×C5—21no—
790C2×C4×C5—21no—
791C2×C4×C5—21no—
792C2×C4×C5—21no—
793C2×C4×C5—21no—
794C2×C4×C5—21no—
795C2×C4×C5—21no—
796C2×C4×C5—21no—
797C2×C4×C5—21no—
798C2×C4×C5—21no—
799C2×C4×C5—21no—
800C2×C4×C5—21no—
801C2×C4×C5—21no—
802C2×C4×C5—21no—
803C2×C4×C5—21no—
804C2×C4×C5—21no—
805C2×C4×C5—21no—
806C2×C4×C5—21no—
807C2×C4×C5—21no—
808C2×C4×C5—21no—
809C2×C4×C5—21no—
810C2×C4×C5—21no—
811C2×C4×C5—21no—
812C2×C4×C5—21no—
813C2×C4×C5—21no—
814C2×C4×C5—21no—
815C2×C4×C5—21no—
816C2×C4×C5—21no—
817C2×C4×C5—21no—
818C2×C4×C5—21no—
819C2×C4×C5—21no—
820C2×C4×C5—21no—
821C2×C4×C5—21no—
822C2×C4×C5—21no—
823C2×C4×C5—21no—
824C2×C4×C5—21no—
825C2×C4×C5—21no—
826C2×C4×C5—21no—
827C2×C4×C5—21no—
828C2×C4×C5—21no—
829C2×C4×C5—21no—
830C2×C4×C5—44no—
831C2×C4×C5—44no—
832C2×C4×C5—44no—
833C2×C4×C5—44no—
834C2×C4×C5—82no—
835C2×C4×C5—82no—
836C2×C4×C5—82no—
837C2×C4×C5—82no—
838C2×C4×C5—82no—
839C2×C4×C5—82no—
840C2×C4×C5—82no—
841C2×C4×C5H(5,𝔽2)12yes—
842C25C23×C511yescharacteristic
843C22×Q8C23×C511yescharacteristic
844C22×D4C23×C511yescharacteristic
845C22×D4C23×C511yescharacteristic
846C22×D4C23×C511yescharacteristic
847C23×C4C23×C511yescharacteristic
848C23×C4C23×C511yescharacteristic
849C23×C4C23×C511yescharacteristic
850C23×C4C23×C511yescharacteristic
851C23×C4C23×C511yescharacteristic
852C23×C4C23×C511yescharacteristic
853C23×C4C23×C511yescharacteristic
854C23×C4C23×C511yescharacteristic
855C23×C4C23×C511yescharacteristic
856C23×C4C23×C511yescharacteristic
857C23×C4C23×C511yescharacteristic
858#126—42no—
859#125—42no—
860#123—42no—
861#123—42no—
862C22⋊Q8—42no—
863C22⋊Q8—42no—
864#120—24no—
865C4×D4—42no—
866C2×C4⋊C4—42no—
867C2×C4⋊C4C23×C511yescharacteristic
868C2×C4⋊C4C23×C511yescharacteristic
869C2×C4⋊C4C23×C511yescharacteristic
870C2×C4⋊C4C23×C511yescharacteristic
871C2×C4⋊C4C23×C511yescharacteristic
872C2×C4⋊C4C23×C511yescharacteristic
873C2×C4⋊C4C23×C511yescharacteristic
874C2×C4⋊C4C23×C511yescharacteristic
875C2×C4⋊C4C23×C511yescharacteristic
876C2×C4⋊C4C23×C511yescharacteristic
877C2×C4⋊C4C23×C511yescharacteristic
878C2×C4⋊C4C23×C511yescharacteristic
879C2×C4⋊C4C23×C511yescharacteristic
880C2×C4⋊C4C23×C511yescharacteristic
881C2×C4⋊C4C23×C511yescharacteristic
882C2×C4⋊C4C23×C511yescharacteristic
883C2×C4⋊C4C23×C511yescharacteristic
884C2×C4⋊C4C23×C511yescharacteristic
885C2×C4⋊C4C23×C511yescharacteristic
886C2×C4⋊C4C23×C511yescharacteristic
887C2×C4⋊C4C23×C511yescharacteristic
888C2×C4⋊C4C23×C511yescharacteristic
889C2×C4⋊C4C23×C511yescharacteristic
890C2×C4⋊C4C23×C511yescharacteristic
891C2×C4⋊C4C23×C511yescharacteristic
892C2×C4⋊C4C23×C511yescharacteristic
893C2×C4⋊C4C23×C511yescharacteristic
894C2×C4⋊C4C23×C511yescharacteristic
895C2×C4⋊C4C23×C511yescharacteristic
896C2×C4⋊C4C23×C511yescharacteristic
897C2×C4⋊C4C23×C511yescharacteristic
898C2×C4⋊C4C23×C511yescharacteristic
899C2×C4⋊C4C23×C511yescharacteristic
900C2×C4⋊C4C23×C511yescharacteristic
901C2×C4⋊C4C23×C511yescharacteristic
902C2×C4⋊C4C23×C511yescharacteristic
903C2×C22⋊C4—24no—
904C2×C22⋊C4—24no—
905C2×C22⋊C4—42no—
906C2×C22⋊C4—42no—
907C2×C22⋊C4—42no—
908C2×C22⋊C4C23×C511yescharacteristic
909C2×C22⋊C4C23×C511yescharacteristic
910C2×C22⋊C4C23×C511yescharacteristic
911C2×C22⋊C4C23×C511yescharacteristic
912C2×C22⋊C4C23×C511yescharacteristic
913C2×C22⋊C4C23×C511yescharacteristic
914C2×C22⋊C4C23×C511yescharacteristic
915C2×C22⋊C4C23×C511yescharacteristic
916C2×C22⋊C4C23×C511yescharacteristic
917C2×C22⋊C4C23×C511yescharacteristic
918C2×C22⋊C4C23×C511yescharacteristic
919C2×C22⋊C4C23×C511yescharacteristic
920C2×C22⋊C4C23×C511yescharacteristic
921C2×C22⋊C4C23×C511yescharacteristic
922C2×C22⋊C4C23×C511yescharacteristic
923C2×C22⋊C4C23×C511yescharacteristic
924C2×C22⋊C4C23×C511yescharacteristic
925C2×C22⋊C4C23×C511yescharacteristic
926C2×C22⋊C4C23×C511yescharacteristic
927C2×C22⋊C4C23×C511yescharacteristic
928C2×C22⋊C4C23×C511yescharacteristic
929C2×C22⋊C4C23×C511yescharacteristic
930C2×C22⋊C4C23×C511yescharacteristic
931C2×C22⋊C4C23×C511yescharacteristic
932C2×C22⋊C4C23×C511yescharacteristic
933C2×C22⋊C4C23×C511yescharacteristic
934C2×C22⋊C4C23×C511yescharacteristic
935C2×C22⋊C4C23×C511yescharacteristic
936C2×C22⋊C4C23×C511yescharacteristic
937C2×C22⋊C4C23×C511yescharacteristic
938C2×C22⋊C4C23×C511yescharacteristic
939C2×C22⋊C4C23×C511yescharacteristic
940C2×C22⋊C4C23×C511yescharacteristic
941C2×C22⋊C4C23×C511yescharacteristic
942C2×C22⋊C4C23×C511yescharacteristic
943C2×C22⋊C4C23×C511yescharacteristic
944C2×C22⋊C4C23×C511yescharacteristic
945C2×C22⋊C4C23×C511yescharacteristic
946C2×C22⋊C4C23×C511yescharacteristic
947C2×C22⋊C4C23×C511yescharacteristic
948C2×C42—42no—
949C2×C42C23×C511yescharacteristic
950C2×C42C23×C511yescharacteristic
951C2×C42C23×C511yescharacteristic
952C2×C42C23×C511yescharacteristic
953C2×C42C23×C511yescharacteristic
954C2×C42C23×C511yescharacteristic
955C2×C42C23×C511yescharacteristic
956#95C23×C511yescharacteristic
957#95C23×C511yescharacteristic
958#95C23×C511yescharacteristic
959#95C23×C511yescharacteristic
960#95C23×C511yescharacteristic
961#95C23×C511yescharacteristic
962#95C23×C511yescharacteristic
963#95C23×C511yescharacteristic
964#95C23×C511yescharacteristic
965#95C23×C511yescharacteristic
966#95C23×C511yescharacteristic
967#95C23×C511yescharacteristic
968#95C23×C511yescharacteristic
969#95C23×C511yescharacteristic
970#95C23×C511yescharacteristic
971#95C23×C511yescharacteristic
972#95C23×C511yescharacteristic
973#95C23×C511yescharacteristic
974#95C23×C511yescharacteristic
975#95C23×C511yescharacteristic
976#95C23×C511yescharacteristic
977#95C23×C511yescharacteristic
978#95C23×C511yescharacteristic
979#95C23×C511yescharacteristic
980#95C23×C511yescharacteristic
981#95C23×C511yescharacteristic
982#95C23×C511yescharacteristic
983#95C23×C511yescharacteristic
984#95C23×C511yescharacteristic
985#95C23×C511yescharacteristic
986#95C23×C511yescharacteristic
987#95C23×C511yescharacteristic
988#95C23×C511yescharacteristic
989#95C23×C511yescharacteristic
990#95C23×C511yescharacteristic
991#95C23×C511yescharacteristic
992#95C23×C511yescharacteristic
993#95C23×C511yescharacteristic
994#95C23×C511yescharacteristic
995#95C23×C511yescharacteristic
996#95C23×C511yescharacteristic
997#95C23×C511yescharacteristic
998#95C23×C511yescharacteristic
999#95C23×C511yescharacteristic
1000#95C23×C511yescharacteristic
1001#95C23×C511yescharacteristic
1002#95C23×C511yescharacteristic
1003#95C23×C511yescharacteristic
1004#95C23×C511yescharacteristic
1005#95C23×C511yescharacteristic
1006#95C23×C511yescharacteristic
1007#95C23×C511yescharacteristic
1008#95C23×C511yescharacteristic
1009#95C23×C511yescharacteristic
1010#95C23×C511yescharacteristic
1011#95C23×C511yescharacteristic
1012C22×C5—22no—
1013C22×C5—22no—
1014C22×C5—22no—
1015C22×C5—22no—
1016C22×C5—22no—
1017C22×C5—22no—
1018C22×C5—22no—
1019C22×C5—22no—
1020C22×C5—22no—
1021C22×C5—22no—
1022C22×C5—22no—
1023C22×C5—22no—
1024C22×C5—41no—
1025C22×C5—41no—
1026C22×C5—41no—
1027C22×C5—41no—
1028C22×C5—41no—
1029C22×C5—41no—
1030C22×C5—41no—
1031C22×C5—41no—
1032C22×C5—41no—
1033C22×C5—41no—
1034C22×C5—41no—
1035C22×C5—41no—
1036C22×C5—41no—
1037C22×C5—41no—
1038C22×C5—41no—
1039C22×C5—88no—
1040C22×C5#53914yes—
1041C22×C5C22×#4111yescharacteristic
1042C22×C5C2×H(5,𝔽2)11yescharacteristic
1043C22×C5C2×H(5,𝔽2)11yescharacteristic
1044C22×C5C2×2−1+411yescharacteristic
1045C22×C5#58511yescharacteristic
1046C22×C5#58511yescharacteristic
1047C22×C5#58511yescharacteristic
1048C4×C5—22no—
1049C4×C5—41no—
1050C4×C5—41no—
1051C4×C5—41no—
1052C4×C5—41no—
1053C4×C5—41no—
1054C4×C5—41no—
1055C4×C5—41no—
1056C4×C5—41no—
1057C4×C5—41no—
1058C4×C5—41no—
1059C4×C5—41no—
1060C4×C5—41no—
1061C4×C5—41no—
1062C4×C5—41no—
1063C4×C5—41no—
1064C4×C5—41no—
1065C4×C5—41no—
1066C4×C5—41no—
1067C4×C5—41no—
1068C4×C5—41no—
1069C4×C5—41no—
1070C4×C5—41no—
1071C4×C5—41no—
1072C4×C5—41no—
1073C4×C5—41no—
1074C4×C5—41no—
1075C24—22no—
1076C24—22no—
1077C24—41no—
1078C24—41no—
1079C24—41no—
1080C24—41no—
1081C24C5×#4114yes—
1082C24C24×C511yescharacteristic
1083C24C24×C511yescharacteristic
1084C24C24×C511yescharacteristic
1085C24C24×C511yescharacteristic
1086C2×Q8—41no—
1087C2×Q8—41no—
1088C2×Q8—41no—
1089C2×D4—22no—
1090C2×D4—22no—
1091C2×D4—22no—
1092C2×D4—22no—
1093C2×D4—22no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4C24×C511yescharacteristic
1132C22×C4C24×C511yescharacteristic
1133C22×C4C24×C511yescharacteristic
1134C22×C4C24×C511yescharacteristic
1135C22×C4C24×C511yescharacteristic
1136C22×C4C24×C511yescharacteristic
1137C22×C4C24×C511yescharacteristic
1138C22×C4C24×C511yescharacteristic
1139C22×C4C24×C511yescharacteristic
1140C22×C4C24×C511yescharacteristic
1141C22×C4C24×C511yescharacteristic
1142C22×C4C24×C511yescharacteristic
1143C22×C4C24×C511yescharacteristic
1144C22×C4C24×C511yescharacteristic
1145C22×C4C24×C511yescharacteristic
1146C22×C4C24×C511yescharacteristic
1147C22×C4C24×C511yescharacteristic
1148C22×C4C24×C511yescharacteristic
1149C22×C4C24×C511yescharacteristic
1150C22×C4C24×C511yescharacteristic
1151C22×C4C24×C511yescharacteristic
1152C22×C4C24×C511yescharacteristic
1153C22×C4C24×C511yescharacteristic
1154C22×C4C24×C511yescharacteristic
1155C22×C4C24×C511yescharacteristic
1156C22×C4C24×C511yescharacteristic
1157C22×C4C24×C511yescharacteristic
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C42—22no—
1235C42—22no—
1236C42—41no—
1237C42—41no—
1238C42—41no—
1239C42—41no—
1240C42—41no—
1241C2×C5—24no—
1242C2×C5—42no—
1243C2×C5—42no—
1244C2×C5—81no—
1245C2×C5C2×#53911yescharacteristic
1246C2×C5#349111yescharacteristic
1247C2×C5#350511yescharacteristic
1248C2×C5#353511yescharacteristic
1249C2×C5#354211yescharacteristic
1250C2×C5#354511yescharacteristic
1251C2×C5#356411yescharacteristic
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—28no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—44no—
1277C23—44no—
1278C23—82no—
1279C23—82no—
1280C23—82no—
1281C23—82no—
1282C23C2×C5×#4112yes—
1283C23C2×C5×#4112yes—
1284C23C2×C5×#4112yes—
1285C23C5×H(5,𝔽2)12yes—
1286C23C5×2−1+412yes—
1287C23C25×C511yescharacteristic
1288Q8—82no—
1289D4—44no—
1290D4—82no—
1291D4—82no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—44no—
1373C2×C4—44no—
1374C2×C4—44no—
1375C2×C4—44no—
1376C2×C4—82no—
1377C2×C4—82no—
1378C2×C4—82no—
1379C2×C4—82no—
1380C2×C4—82no—
1381C2×C4—82no—
1382C2×C4—82no—
1383C2×C4C5×H(5,𝔽2)12yes—
1384C5#3678011yescharacteristic, direct product factor, Sylow
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—22no—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—22no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—88no—
1413C22C5×#53914yes—
1414C22C22×C5×#4111yescharacteristic
1415C22C2×C5×H(5,𝔽2)11yescharacteristic
1416C22C2×C5×H(5,𝔽2)11yescharacteristic
1417C22C2×C5×2−1+411yescharacteristic
1418C22C5×#58511yescharacteristic
1419C22C5×#58511yescharacteristic
1420C22C5×#58511yescharacteristic
1421C4—22no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C2—24no—
1449C2—42no—
1450C2—42no—
1451C2—81no—
1452C2C2×C5×#53911yescharacteristic
1453C2C5×#349111yescharacteristic
1454C2C5×#350511yescharacteristic
1455C2C5×#353511yescharacteristic
1456C2C5×#354211yescharacteristic
1457C2C5×#354511yescharacteristic
1458C2C5×#356411yescharacteristic
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
1. C5×#2852C2semidirect
2. C5×#2851C2semidirect
3. C5×#2786C2semidirect
4. C5×#2782C2semidirect
5. C5×#2770C2semidirect
6. C5×#2770C2semidirect
7. C5×#2747C2semidirect
8. C5×#2746C2semidirect
9. C5×#2745C2semidirect
10. C5×#2744C2semidirect
11. C5×#2744C2semidirect
12. C5×#2743C2semidirect
13. C5×#2738C2semidirect
14. C5×#2737C2semidirect
15. C5×#2723C2semidirect
16. C5×#2695C2semidirect
17. C5×#2694C2semidirect
18. C5×#2690C2semidirect
19. C5×#2627C2semidirect
20. C5×#2623C2semidirect
21. C5×#2505C2semidirect
22. C5×#2493C2semidirect
23. C5×#2483C2semidirect
24. C5×#2450C2semidirect
25. C5×#2437C2semidirect
26. C5×#2419C2semidirect
30. C5×#2315C2semidirect
31. C2×C5×#388C2semidirect
32. C2×C5×#126C22semidirect
33. C2×C5×#125C22semidirect
47. C5×#401C22semidirect
48. C5×#400C22semidirect
49. C5×#400C22semidirect
50. C5×#400C22semidirect
51. C5×#400C22semidirect
52. C5×#400C22semidirect
53. C5×#400C22semidirect
54. C5×#400C22semidirect
55. C5×#400C22semidirect
56. C5×#400C22semidirect
57. C5×#400C22semidirect
58. C5×#400C22semidirect
59. 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
80. C5×#397C22semidirect
81. C5×#397C22semidirect
82. C5×#397C22semidirect
83. C5×#397C22semidirect
86. C5×#396C22semidirect
87. C5×#395C22semidirect
88. C5×#395C22semidirect
94. C5×#393C22semidirect
95. C5×#391C22semidirect
98. C5×#389C22semidirect
99. C5×#389C22semidirect
100. C5×#389C22semidirect
113. C5×#388C22semidirect
114. C5×#388C22semidirect
115. C5×#388C22semidirect
116. C5×#387C22semidirect
117. C5×#387C22semidirect
118. C5×#387C22semidirect
119. C5×#387C22semidirect
120. C5×#387C22semidirect
121. C5×#387C22semidirect
122. C5×#387C22semidirect
123. C5×#387C22semidirect
124. C5×#387C22semidirect
125. C5×#387C22semidirect
126. C5×#387C22semidirect
127. C5×#387C22semidirect
128. C5×#387C22semidirect
129. C5×#387C22semidirect
130. C5×#387C22semidirect
159. C5×#385C22semidirect
160. C5×#385C22semidirect
161. C5×#383C22semidirect
162. C5×#383C22semidirect
163. C5×#382C22semidirect
164. C5×#382C22semidirect
171. C5×#381C22semidirect
182. C5×#380C22semidirect
187. #36780C5direct (N × H)
358. #2852C2×C5semidirect
359. #2851C2×C5semidirect
360. #2786C2×C5semidirect
361. #2782C2×C5semidirect
362. #2770C2×C5semidirect
363. #2770C2×C5semidirect
364. #2747C2×C5semidirect
365. #2746C2×C5semidirect
366. #2745C2×C5semidirect
367. #2744C2×C5semidirect
368. #2744C2×C5semidirect
369. #2743C2×C5semidirect
370. #2738C2×C5semidirect
371. #2737C2×C5semidirect
372. #2723C2×C5semidirect
373. #2695C2×C5semidirect
374. #2694C2×C5semidirect
375. #2690C2×C5semidirect
376. #2627C2×C5semidirect
377. #2623C2×C5semidirect
378. #2505C2×C5semidirect
379. #2493C2×C5semidirect
380. #2483C2×C5semidirect
381. #2450C2×C5semidirect
382. #2437C2×C5semidirect
383. #2419C2×C5semidirect
387. #2315C2×C5semidirect
388. C2×#388C2×C5semidirect
555. C2×#126C22×C5semidirect
556. C2×#125C22×C5semidirect
570. #401C22×C5semidirect
571. #400C22×C5semidirect
572. #400C22×C5semidirect
573. #400C22×C5semidirect
574. #400C22×C5semidirect
575. #400C22×C5semidirect
576. #400C22×C5semidirect
577. #400C22×C5semidirect
578. #400C22×C5semidirect
579. #400C22×C5semidirect
580. #400C22×C5semidirect
581. #400C22×C5semidirect
582. #400C22×C5semidirect
584. #399C22×C5semidirect
585. #399C22×C5semidirect
586. #398C22×C5semidirect
587. #398C22×C5semidirect
588. #398C22×C5semidirect
589. #398C22×C5semidirect
590. #398C22×C5semidirect
591. #398C22×C5semidirect
592. #398C22×C5semidirect
593. #398C22×C5semidirect
594. #398C22×C5semidirect
603. #397C22×C5semidirect
604. #397C22×C5semidirect
605. #397C22×C5semidirect
606. #397C22×C5semidirect
609. #396C22×C5semidirect
610. #395C22×C5semidirect
611. #395C22×C5semidirect
617. #393C22×C5semidirect
618. #391C22×C5semidirect
621. #389C22×C5semidirect
622. #389C22×C5semidirect
623. #389C22×C5semidirect
636. #388C22×C5semidirect
637. #388C22×C5semidirect
638. #388C22×C5semidirect
639. #387C22×C5semidirect
640. #387C22×C5semidirect
641. #387C22×C5semidirect
642. #387C22×C5semidirect
643. #387C22×C5semidirect
644. #387C22×C5semidirect
645. #387C22×C5semidirect
646. #387C22×C5semidirect
647. #387C22×C5semidirect
648. #387C22×C5semidirect
649. #387C22×C5semidirect
650. #387C22×C5semidirect
651. #387C22×C5semidirect
652. #387C22×C5semidirect
653. #387C22×C5semidirect
682. #385C22×C5semidirect
683. #385C22×C5semidirect
684. #383C22×C5semidirect
685. #383C22×C5semidirect
686. #382C22×C5semidirect
687. #382C22×C5semidirect
694. #381C22×C5semidirect
705. #380C22×C5semidirect
1384. C5#36780direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#28522
C5×#28512
C5×#27862
C5×#27822
C5×#27702
C5×#27472
C5×#27462
C5×#27452
C5×#27442
C5×#27432
C5×#27382
C5×#27372
C5×#27232
C5×#26952
C5×#26942
C5×#26902
C5×#26272
C5×#26232
C5×#25052
C5×#24932
C5×#24832
C5×#24502
C5×#24372
C5×#24192
C5×#24122
C5×#23212
C5×#23152
C2×C5×#3882
#367805