Finite Group Databasebeta

← C5×#34990 #11957710

Subgroups — C5×#34990 #11957710

Order 1280.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#538C211yesmaximal, characteristic, complemented
2C22×C4×C5×D4C211yesmaximal, characteristic, complemented
3C5×#2852C211yesmaximal, characteristic, complemented
4C5×#2850C211yesmaximal, characteristic, complemented
5C5×#2849C211yesmaximal, characteristic, complemented
6C5×#2847C211yesmaximal, characteristic, complemented
7C5×#2636C211yesmaximal, characteristic, complemented
8C5×#2635C211yesmaximal, characteristic, complemented
9C5×#2631C211yesmaximal, characteristic, complemented
10C5×#2630C211yesmaximal, characteristic, complemented
11C5×#2481C211yesmaximal, characteristic, complemented
12C5×#2472C211yesmaximal, characteristic, complemented
13C5×#2467C211yesmaximal, characteristic, complemented
14C5×#2459C211yesmaximal, characteristic, complemented
15C5×#2456C211yesmaximal, characteristic, complemented
16C5×#2456C211yesmaximal, characteristic, complemented
17C5×#2450C211yesmaximal, characteristic, complemented
18C5×#2444C211yesmaximal, characteristic, complemented
19C5×#2443C211yesmaximal, characteristic, complemented
20C5×#2437C211yesmaximal, characteristic, complemented
21C5×#2424C211yesmaximal, characteristic, complemented
22C5×#2424C211yesmaximal, characteristic, complemented
23C5×#2418C211yesmaximal, characteristic, complemented
24C5×#2410C211yesmaximal, characteristic, complemented
25C5×#2410C211yesmaximal, characteristic, complemented
26C5×#2403C211yesmaximal, characteristic, complemented
27C5×#2325C211yesmaximal, characteristic, complemented
28C5×#2321C211yesmaximal, characteristic, complemented
29C5×#2318C211yesmaximal, characteristic, complemented
30C4×C5×#120C211yesmaximal, characteristic, complemented
31C2×C5×#386C211yesmaximal, characteristic, complemented
32C23×C5×D4C2211yescharacteristic
33C23×C5×D4C2211yescharacteristic
34C24×C4×C5C2211yescharacteristic
35C24×C4×C5C2211yescharacteristic, complemented
36C5×#538—28no—
37C2×C5×#126C2211yescharacteristic, complemented
38C2×C5×#126C2211yescharacteristic, complemented
39C2×C5×#124C2211yescharacteristic, complemented
40C2×C5×#124C2211yescharacteristic, complemented
41C2×C5×#123C2211yescharacteristic, complemented
42C2×C5×#123C2211yescharacteristic, complemented
43C2×C5×#123C2211yescharacteristic, complemented
44C2×C5×C22⋊Q8C2211yescharacteristic, complemented
45C2×C5×C22⋊Q8C2211yescharacteristic, complemented
46C2×C5×#121C2211yescharacteristic
47C2×C5×#121C2211yescharacteristic
48C2×C5×#121C2211yescharacteristic
49C2×C5×#121C2211yescharacteristic
50C2×C5×#121C2211yescharacteristic, complemented
51C2×C5×#121C2211yescharacteristic, complemented
52C2×C5×#121C2211yescharacteristic, complemented
53C2×C5×#120C2211yescharacteristic
54C2×C5×#120C2211yescharacteristic
55C2×C5×#120C2211yescharacteristic
56C2×C5×#120C2211yescharacteristic
57C2×C5×#120C2211yescharacteristic
58C2×C5×#120C2211yescharacteristic, complemented
59C2×C5×#120C2211yescharacteristic, complemented
60C2×C4×C5×D4—28no—
61C2×C4×C5×D4C2211yescharacteristic
62C2×C4×C5×D4C2211yescharacteristic
63C2×C4×C5×D4C2211yescharacteristic
64C2×C4×C5×D4C2211yescharacteristic
65C2×C4×C5×D4C2211yescharacteristic, complemented
66C2×C4×C5×D4C2211yescharacteristic, complemented
67C2×C4×C5×D4C2211yescharacteristic, complemented
68C2×C4×C5×D4C2211yescharacteristic, complemented
69C2×C4×C5×D4C2211yescharacteristic, complemented
70C2×C4×C5×D4C2211yescharacteristic, complemented
71C2×C4×C5×D4C2211yescharacteristic, complemented
72C22×C5×C4⋊C4C2211yescharacteristic, complemented
73C22×C5×C22⋊C4C2211yescharacteristic
74C22×C5×C22⋊C4C2211yescharacteristic
75C22×C5×C22⋊C4C2211yescharacteristic, complemented
76C22×C5×C22⋊C4C2211yescharacteristic, complemented
77C22×C5×C22⋊C4C2211yescharacteristic, complemented
78C22×C42×C5C2211yescharacteristic, complemented
79C5×#400C2211yescharacteristic, complemented
80C5×#400C2211yescharacteristic, complemented
81C5×#399C2211yescharacteristic, complemented
82C5×#399C2211yescharacteristic, complemented
83C5×#398C2211yescharacteristic, complemented
84C5×#397C2211yescharacteristic, complemented
85C5×#397C2211yescharacteristic, complemented
86C5×#397C2211yescharacteristic, complemented
87C5×#396C2211yescharacteristic, complemented
88C5×#396C2211yescharacteristic, complemented
89C5×#396C2211yescharacteristic, complemented
90C5×#396C2211yescharacteristic, complemented
91C5×#394C2211yescharacteristic, complemented
92C5×#394C2211yescharacteristic, complemented
93C5×#394C2211yescharacteristic, complemented
94C5×#394C2211yescharacteristic, complemented
95C5×#394C2211yescharacteristic, complemented
96C5×#394C2211yescharacteristic, complemented
97C5×#394C2211yescharacteristic, complemented
98C5×#394C2211yescharacteristic, complemented
99C5×#394C2211yescharacteristic, complemented
100C5×#393C2211yescharacteristic, complemented
101C5×#393C2211yescharacteristic, complemented
102C5×#392C2211yescharacteristic
103C5×#392C2211yescharacteristic
104C5×#392C2211yescharacteristic
105C5×#392C2211yescharacteristic
106C5×#392C2211yescharacteristic, complemented
107C5×#392C2211yescharacteristic, complemented
108C5×#392C2211yescharacteristic, complemented
109C5×#392C2211yescharacteristic, complemented
110C5×#392C2211yescharacteristic, complemented
111C5×#391C2211yescharacteristic, complemented
112C5×#390C2211yescharacteristic, complemented
113C5×#390C2211yescharacteristic, complemented
114C5×#390C2211yescharacteristic, complemented
115C5×#388C2211yescharacteristic, complemented
116C5×#388C2211yescharacteristic, complemented
117C5×#388C2211yescharacteristic, complemented
118C5×#388C2211yescharacteristic, complemented
119C5×#388C2211yescharacteristic, complemented
120C5×#388C2211yescharacteristic, complemented
121C5×#388C2211yescharacteristic, complemented
122C5×#388C2211yescharacteristic, complemented
123C5×#388C2211yescharacteristic, complemented
124C5×#388C2211yescharacteristic, complemented
125C5×#388C2211yescharacteristic, complemented
126C5×#388C2211yescharacteristic, complemented
127C5×#387C2211yescharacteristic, complemented
128C5×#387C2211yescharacteristic, complemented
129C5×#387C2211yescharacteristic, complemented
130C5×#387C2211yescharacteristic, complemented
131C5×#387C2211yescharacteristic, complemented
132C5×#387C2211yescharacteristic, complemented
133C5×#386C2211yescharacteristic
134C5×#386C2211yescharacteristic
135C5×#386C2211yescharacteristic
136C5×#386C2211yescharacteristic
137C5×#386C2211yescharacteristic
138C5×#386C2211yescharacteristic
139C5×#386C2211yescharacteristic
140C5×#386C2211yescharacteristic
141C5×#386C2211yescharacteristic
142C5×#386C2211yescharacteristic
143C5×#386C2211yescharacteristic
144C5×#386C2211yescharacteristic
145C5×#386C2211yescharacteristic, complemented
146C5×#386C2211yescharacteristic, complemented
147C5×#386C2211yescharacteristic, complemented
148C5×#386C2211yescharacteristic, complemented
149C5×#386C2211yescharacteristic, complemented
150C5×#386C2211yescharacteristic, complemented
151C5×#386C2211yescharacteristic, complemented
152C5×#386C2211yescharacteristic, complemented
153C5×#386C2211yescharacteristic, complemented
154C5×#386C2211yescharacteristic, complemented
155C5×#386C2211yescharacteristic, complemented
156C5×#386C2211yescharacteristic, complemented
157C5×#386C2211yescharacteristic, complemented
158C5×#386C2211yescharacteristic, complemented
159C5×#386C2211yescharacteristic, complemented
160C5×#386C2211yescharacteristic, complemented
161C5×#385C2211yescharacteristic, complemented
162C5×#385C2211yescharacteristic, complemented
163C5×#385C2211yescharacteristic, complemented
164C5×#385C2211yescharacteristic, complemented
165C5×#385C2211yescharacteristic, complemented
166C5×#385C2211yescharacteristic, complemented
167C5×#385C2211yescharacteristic, complemented
168C5×#385C2211yescharacteristic, complemented
169C5×#385C2211yescharacteristic, complemented
170C5×#385C2211yescharacteristic, complemented
171C5×#385C2211yescharacteristic, complemented
172C5×#385C2211yescharacteristic, complemented
173C5×#383C2211yescharacteristic, complemented
174C5×#382C2211yescharacteristic, complemented
175C5×#381C2211yescharacteristic, complemented
176C5×#381C2211yescharacteristic, complemented
177C5×#380C2211yescharacteristic, complemented
178C5×#380C2211yescharacteristic, complemented
179C5×#380C2211yescharacteristic, complemented
180C5×#380C2211yescharacteristic, complemented
181C5×#379C2211yescharacteristic
182C5×#379C2211yescharacteristic, complemented
183C5×#379C2211yescharacteristic, complemented
184C4×C5×C22⋊C4C2211yescharacteristic, complemented
185C4×C5×C22⋊C4C2211yescharacteristic, complemented
186C4×C5×C22⋊C4C2211yescharacteristic, complemented
187C2×C5×#95C2211yescharacteristic, complemented
188C2×C5×#95C2211yescharacteristic, complemented
189#34990C511yesmaximal, characteristic, direct product factor, Sylow
190C25×C5C2311yescharacteristic
191C25×C5C2311yescharacteristic
192C25×C5C2311yescharacteristic
193C22×C5×Q8C2311yescharacteristic
194C22×C5×D4—24no—
195C22×C5×D4—24no—
196C22×C5×D4—24no—
197C22×C5×D4—24no—
198C22×C5×D4—42no—
199C22×C5×D4—42no—
200C22×C5×D4C2311yescharacteristic
201C22×C5×D4C2311yescharacteristic
202C22×C5×D4C2311yescharacteristic
203C22×C5×D4C2311yescharacteristic
204C22×C5×D4C2311yescharacteristic
205C22×C5×D4C2311yescharacteristic
206C22×C5×D4C2311yescharacteristic
207C22×C5×D4C2311yescharacteristic
208C22×C5×D4C2311yescharacteristic
209C22×C5×D4C2311yescharacteristic
210C22×C5×D4C2311yescharacteristic
211C22×C5×D4C2311yescharacteristic
212C22×C5×D4C2311yescharacteristic
213C22×C5×D4C2311yescharacteristic
214C22×C5×D4C2311yescharacteristic
215C22×C5×D4C2311yescharacteristic
216C22×C5×D4C2311yescharacteristic
217C22×C5×D4C2311yescharacteristic
218C22×C5×D4C2311yescharacteristic
219C23×C4×C5—24no—
220C23×C4×C5—24no—
221C23×C4×C5—42no—
222C23×C4×C5—42no—
223C23×C4×C5—42no—
224C23×C4×C5—42no—
225C23×C4×C5C2311yescharacteristic
226C23×C4×C5C2311yescharacteristic
227C23×C4×C5C2311yescharacteristic
228C23×C4×C5C2311yescharacteristic
229C23×C4×C5C2311yescharacteristic
230C23×C4×C5C2311yescharacteristic
231C23×C4×C5C2311yescharacteristic
232C23×C4×C5C2311yescharacteristic
233C23×C4×C5C2311yescharacteristic
234C23×C4×C5C2311yescharacteristic
235C23×C4×C5C2311yescharacteristic
236C23×C4×C5C2311yescharacteristic
237C23×C4×C5C2311yescharacteristic
238C23×C4×C5C2311yescharacteristic
239C23×C4×C5C2311yescharacteristic
240C23×C4×C5C2311yescharacteristic
241C23×C4×C5C2311yescharacteristic
242C5×#126—24no—
243C5×#126—24no—
244C5×#124—24no—
245C5×#124—24no—
246C5×#123—24no—
247C5×#123—24no—
248C5×#123—42no—
249C5×C22⋊Q8—24no—
250C5×C22⋊Q8—42no—
251C5×#121—24no—
252C5×#121—24no—
253C5×#121—24no—
254C5×#121—24no—
255C5×#121—42no—
256C5×#121—42no—
257C5×#121—42no—
258C5×#120—24no—
259C5×#120—24no—
260C5×#120—24no—
261C5×#120—24no—
262C5×#120—42no—
263C5×#120—42no—
264C5×#120—42no—
265C4×C5×D4—24no—
266C4×C5×D4—24no—
267C4×C5×D4—24no—
268C4×C5×D4—24no—
269C4×C5×D4—24no—
270C4×C5×D4—24no—
271C4×C5×D4—24no—
272C4×C5×D4—24no—
273C4×C5×D4—42no—
274C4×C5×D4—42no—
275C4×C5×D4D418yescomplemented
276C2×C5×C4⋊C4—24no—
277C2×C5×C4⋊C4C2311yescharacteristic
278C2×C5×C4⋊C4C2311yescharacteristic
279C2×C5×C4⋊C4C2311yescharacteristic
280C2×C5×C4⋊C4C2311yescharacteristic
281C2×C5×C4⋊C4C2311yescharacteristic
282C2×C5×C4⋊C4C2311yescharacteristic
283C2×C5×C4⋊C4C2311yescharacteristic
284C2×C5×C4⋊C4C2311yescharacteristic
285C2×C5×C4⋊C4C2311yescharacteristic
286C2×C5×C4⋊C4C2311yescharacteristic
287C2×C5×C4⋊C4C2311yescharacteristic
288C2×C5×C4⋊C4C2311yescharacteristic
289C2×C5×C4⋊C4C2311yescharacteristic
290C2×C5×C4⋊C4C2311yescharacteristic
291C2×C5×C4⋊C4C2311yescharacteristic
292C2×C5×C4⋊C4C2311yescharacteristic
293C2×C5×C4⋊C4C2311yescharacteristic
294C2×C5×C4⋊C4C2311yescharacteristic
295C2×C5×C4⋊C4C2311yescharacteristic
296C2×C5×C4⋊C4C2311yescharacteristic
297C2×C5×C22⋊C4—24no—
298C2×C5×C22⋊C4—24no—
299C2×C5×C22⋊C4—24no—
300C2×C5×C22⋊C4—42no—
301C2×C5×C22⋊C4—42no—
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×C5×C22⋊C4C2311yescharacteristic
311C2×C5×C22⋊C4C2311yescharacteristic
312C2×C5×C22⋊C4C2311yescharacteristic
313C2×C5×C22⋊C4C2311yescharacteristic
314C2×C5×C22⋊C4C2311yescharacteristic
315C2×C5×C22⋊C4C2311yescharacteristic
316C2×C5×C22⋊C4C2311yescharacteristic
317C2×C5×C22⋊C4C2311yescharacteristic
318C2×C5×C22⋊C4C2311yescharacteristic
319C2×C5×C22⋊C4C2311yescharacteristic
320C2×C5×C22⋊C4C2311yescharacteristic
321C2×C5×C22⋊C4C2311yescharacteristic
322C2×C5×C22⋊C4C2311yescharacteristic
323C2×C5×C22⋊C4C2311yescharacteristic
324C2×C5×C22⋊C4C2311yescharacteristic
325C2×C5×C22⋊C4C2311yescharacteristic
326C2×C5×C22⋊C4C2311yescharacteristic
327C2×C5×C22⋊C4C2311yescharacteristic
328C2×C5×C22⋊C4C2311yescharacteristic
329C2×C5×C22⋊C4C2311yescharacteristic
330C2×C5×C22⋊C4C2311yescharacteristic
331C2×C5×C22⋊C4C2311yescharacteristic
332C2×C5×C22⋊C4C2311yescharacteristic
333C2×C5×C22⋊C4C2311yescharacteristic
334C2×C5×C22⋊C4C2311yescharacteristic
335C2×C5×C22⋊C4C2311yescharacteristic
336C2×C5×C22⋊C4C2311yescharacteristic
337C2×C5×C22⋊C4C2311yescharacteristic
338C2×C5×C22⋊C4C2311yescharacteristic
339C2×C5×C22⋊C4C2311yescharacteristic
340C2×C5×C22⋊C4C2311yescharacteristic
341C2×C5×C22⋊C4C2311yescharacteristic
342C2×C5×C22⋊C4C2311yescharacteristic
343C2×C5×C22⋊C4C2311yescharacteristic
344C2×C5×C22⋊C4C2311yescharacteristic
345C2×C5×C22⋊C4C2311yescharacteristic
346C2×C5×C22⋊C4C2311yescharacteristic
347C2×C5×C22⋊C4C2311yescharacteristic
348C2×C5×C22⋊C4C2311yescharacteristic
349C2×C5×C22⋊C4C2311yescharacteristic
350C2×C5×C22⋊C4C2311yescharacteristic
351C2×C5×C22⋊C4C2311yescharacteristic
352C2×C5×C22⋊C4C2311yescharacteristic
353C2×C5×C22⋊C4C2311yescharacteristic
354C2×C5×C22⋊C4C2311yescharacteristic
355C2×C5×C22⋊C4C2311yescharacteristic
356C2×C5×C22⋊C4C2311yescharacteristic
357C2×C5×C22⋊C4C2311yescharacteristic
358C2×C42×C5—24no—
359C2×C42×C5C2311yescharacteristic
360C2×C42×C5C2311yescharacteristic
361C2×C42×C5C2311yescharacteristic
362C2×C42×C5C2311yescharacteristic
363C2×C42×C5C2311yescharacteristic
364C2×C42×C5C2311yescharacteristic
365C2×C42×C5C2311yescharacteristic
366C5×#95C2311yescharacteristic
367C5×#95C2311yescharacteristic
368C5×#95C2311yescharacteristic
369C5×#95C2311yescharacteristic
370C5×#95C2311yescharacteristic
371C5×#95C2311yescharacteristic
372C5×#95C2311yescharacteristic
373C5×#95C2311yescharacteristic
374C5×#95C2311yescharacteristic
375C5×#95C2311yescharacteristic
376C5×#95C2311yescharacteristic
377C5×#95C2311yescharacteristic
378C5×#95C2311yescharacteristic
379C5×#95C2311yescharacteristic
380C5×#95C2311yescharacteristic
381C5×#95C2311yescharacteristic
382C5×#95C2311yescharacteristic
383C5×#95C2311yescharacteristic
384C5×#95C2311yescharacteristic
385C5×#95C2311yescharacteristic
386C5×#95C2311yescharacteristic
387C5×#95C2311yescharacteristic
388C5×#95C2311yescharacteristic
389C5×#95C2311yescharacteristic
390C5×#95C2311yescharacteristic
391C5×#95C2311yescharacteristic
392C5×#95C2311yescharacteristic
393C5×#95C2311yescharacteristic
394C5×#95C2311yescharacteristic
395C5×#95C2311yescharacteristic
396C5×#95C2311yescharacteristic
397C5×#95C2311yescharacteristic
398C2×#538C2×C511yescharacteristic, complemented
399C22×C4×D4C2×C511yescharacteristic, complemented
400#2852C2×C511yescharacteristic, complemented
401#2850C2×C511yescharacteristic, complemented
402#2849C2×C511yescharacteristic, complemented
403#2847C2×C511yescharacteristic, complemented
404#2636C2×C511yescharacteristic, complemented
405#2635C2×C511yescharacteristic, complemented
406#2631C2×C511yescharacteristic, complemented
407#2630C2×C511yescharacteristic, complemented
408#2481C2×C511yescharacteristic, complemented
409#2472C2×C511yescharacteristic, complemented
410#2467C2×C511yescharacteristic, complemented
411#2459C2×C511yescharacteristic, complemented
412#2456C2×C511yescharacteristic, complemented
413#2456C2×C511yescharacteristic, complemented
414#2450C2×C511yescharacteristic, complemented
415#2444C2×C511yescharacteristic, complemented
416#2443C2×C511yescharacteristic, complemented
417#2437C2×C511yescharacteristic, complemented
418#2424C2×C511yescharacteristic, complemented
419#2424C2×C511yescharacteristic, complemented
420#2418C2×C511yescharacteristic, complemented
421#2410C2×C511yescharacteristic, complemented
422#2410C2×C511yescharacteristic, complemented
423#2403C2×C511yescharacteristic, complemented
424#2325C2×C511yescharacteristic, complemented
425#2321C2×C511yescharacteristic, complemented
426#2318C2×C511yescharacteristic, complemented
427C4×#120C2×C511yescharacteristic, complemented
428C2×#386C2×C511yescharacteristic, complemented
429C24×C5—22no—
430C24×C5—22no—
431C24×C5—22no—
432C24×C5—22no—
433C24×C5—22no—
434C24×C5—22no—
435C24×C5—22no—
436C24×C5—22no—
437C24×C5—22no—
438C24×C5—22no—
439C24×C5—22no—
440C24×C5—22no—
441C24×C5—41no—
442C24×C5—41no—
443C24×C5—41no—
444C24×C5—41no—
445C24×C5—41no—
446C24×C5—41no—
447C24×C5—41no—
448C24×C5—41no—
449C24×C5#4114yes—
450C24×C5C2411yescharacteristic
451C24×C5C2411yescharacteristic
452C24×C5C2411yescharacteristic
453C24×C5C2411yescharacteristic
454C24×C5C2411yescharacteristic
455C24×C5C2411yescharacteristic
456C24×C5C2411yescharacteristic
457C24×C5C2411yescharacteristic
458C2×C5×Q8—22no—
459C2×C5×Q8—41no—
460C2×C5×Q8—41no—
461C2×C5×D4—232no—
462C2×C5×D4—22no—
463C2×C5×D4—22no—
464C2×C5×D4—22no—
465C2×C5×D4—22no—
466C2×C5×D4—22no—
467C2×C5×D4—22no—
468C2×C5×D4—22no—
469C2×C5×D4—22no—
470C2×C5×D4—22no—
471C2×C5×D4—22no—
472C2×C5×D4—22no—
473C2×C5×D4—22no—
474C2×C5×D4—22no—
475C2×C5×D4—22no—
476C2×C5×D4—22no—
477C2×C5×D4—22no—
478C2×C5×D4—22no—
479C2×C5×D4—22no—
480C2×C5×D4—22no—
481C2×C5×D4—22no—
482C2×C5×D4—22no—
483C2×C5×D4—22no—
484C2×C5×D4—22no—
485C2×C5×D4—22no—
486C2×C5×D4—22no—
487C2×C5×D4—22no—
488C2×C5×D4—22no—
489C2×C5×D4—22no—
490C2×C5×D4—22no—
491C2×C5×D4—22no—
492C2×C5×D4—22no—
493C2×C5×D4—22no—
494C2×C5×D4—22no—
495C2×C5×D4—41no—
496C2×C5×D4—41no—
497C2×C5×D4—41no—
498C2×C5×D4—41no—
499C2×C5×D4—41no—
500C2×C5×D4—41no—
501C2×C5×D4—41no—
502C2×C5×D4—41no—
503C2×C5×D4—41no—
504C2×C5×D4—41no—
505C2×C5×D4—41no—
506C2×C5×D4—41no—
507C2×C5×D4—41no—
508C2×C5×D4—41no—
509C2×C5×D4—41no—
510C2×C5×D4—41no—
511C2×C5×D4—41no—
512C2×C5×D4—41no—
513C2×C5×D4—41no—
514C2×C5×D4—41no—
515C2×C5×D4—41no—
516C2×C5×D4—41no—
517C2×C5×D4—416no—
518C2×C5×D4C2×D414yes—
519C2×C5×D4#4114yes—
520C22×C4×C5—22no—
521C22×C4×C5—22no—
522C22×C4×C5—22no—
523C22×C4×C5—22no—
524C22×C4×C5—22no—
525C22×C4×C5—22no—
526C22×C4×C5—22no—
527C22×C4×C5—22no—
528C22×C4×C5—22no—
529C22×C4×C5—22no—
530C22×C4×C5—22no—
531C22×C4×C5—22no—
532C22×C4×C5—22no—
533C22×C4×C5—22no—
534C22×C4×C5—22no—
535C22×C4×C5—22no—
536C22×C4×C5—22no—
537C22×C4×C5—22no—
538C22×C4×C5—22no—
539C22×C4×C5—22no—
540C22×C4×C5—22no—
541C22×C4×C5—22no—
542C22×C4×C5—22no—
543C22×C4×C5—22no—
544C22×C4×C5—22no—
545C22×C4×C5—22no—
546C22×C4×C5—41no—
547C22×C4×C5—41no—
548C22×C4×C5—41no—
549C22×C4×C5—41no—
550C22×C4×C5—41no—
551C22×C4×C5—41no—
552C22×C4×C5—41no—
553C22×C4×C5—41no—
554C22×C4×C5—41no—
555C22×C4×C5—41no—
556C22×C4×C5—41no—
557C22×C4×C5—41no—
558C22×C4×C5—41no—
559C22×C4×C5—41no—
560C22×C4×C5—41no—
561C22×C4×C5—41no—
562C22×C4×C5—41no—
563C22×C4×C5—41no—
564C22×C4×C5—41no—
565C22×C4×C5—41no—
566C22×C4×C5—41no—
567C22×C4×C5—41no—
568C22×C4×C5—41no—
569C22×C4×C5—416no—
570C22×C4×C5—416no—
571C22×C4×C5C2×D414yes—
572C22×C4×C5C2×D414yescomplemented
573C22×C4×C5C2411yescharacteristic
574C22×C4×C5C2411yescharacteristic
575C22×C4×C5C2411yescharacteristic
576C22×C4×C5C2411yescharacteristic
577C22×C4×C5C2411yescharacteristic
578C22×C4×C5C2411yescharacteristic
579C22×C4×C5C2411yescharacteristic
580C22×C4×C5C2411yescharacteristic
581C22×C4×C5C2411yescharacteristic
582C22×C4×C5C2411yescharacteristic
583C22×C4×C5C2411yescharacteristic
584C22×C4×C5C2411yescharacteristic
585C22×C4×C5C2411yescharacteristic
586C22×C4×C5C2411yescharacteristic
587C22×C4×C5C2411yescharacteristic
588C22×C4×C5C2411yescharacteristic
589C22×C4×C5C2411yescharacteristic
590C22×C4×C5C2411yescharacteristic
591C22×C4×C5C2411yescharacteristic
592C22×C4×C5C2411yescharacteristic
593C22×C4×C5C2411yescharacteristic
594C22×C4×C5C2411yescharacteristic
595C22×C4×C5C2411yescharacteristic
596C5×C4⋊C4—22no—
597C5×C4⋊C4—22no—
598C5×C4⋊C4—22no—
599C5×C4⋊C4—22no—
600C5×C4⋊C4—22no—
601C5×C4⋊C4—22no—
602C5×C4⋊C4—22no—
603C5×C4⋊C4—22no—
604C5×C4⋊C4—22no—
605C5×C4⋊C4—22no—
606C5×C4⋊C4—41no—
607C5×C4⋊C4—41no—
608C5×C4⋊C4—41no—
609C5×C4⋊C4—41no—
610C5×C4⋊C4—41no—
611C5×C4⋊C4—41no—
612C5×C4⋊C4—41no—
613C5×C4⋊C4—41no—
614C5×C4⋊C4—41no—
615C5×C4⋊C4C2×D414yescomplemented
616C5×C22⋊C4—22no—
617C5×C22⋊C4—22no—
618C5×C22⋊C4—22no—
619C5×C22⋊C4—22no—
620C5×C22⋊C4—22no—
621C5×C22⋊C4—22no—
622C5×C22⋊C4—22no—
623C5×C22⋊C4—22no—
624C5×C22⋊C4—22no—
625C5×C22⋊C4—22no—
626C5×C22⋊C4—22no—
627C5×C22⋊C4—22no—
628C5×C22⋊C4—22no—
629C5×C22⋊C4—22no—
630C5×C22⋊C4—22no—
631C5×C22⋊C4—22no—
632C5×C22⋊C4—22no—
633C5×C22⋊C4—22no—
634C5×C22⋊C4—22no—
635C5×C22⋊C4—22no—
636C5×C22⋊C4—22no—
637C5×C22⋊C4—22no—
638C5×C22⋊C4—22no—
639C5×C22⋊C4—22no—
640C5×C22⋊C4—22no—
641C5×C22⋊C4—22no—
642C5×C22⋊C4—22no—
643C5×C22⋊C4—22no—
644C5×C22⋊C4—22no—
645C5×C22⋊C4—22no—
646C5×C22⋊C4—22no—
647C5×C22⋊C4—22no—
648C5×C22⋊C4—22no—
649C5×C22⋊C4—41no—
650C5×C22⋊C4—41no—
651C5×C22⋊C4—41no—
652C5×C22⋊C4—41no—
653C5×C22⋊C4—41no—
654C5×C22⋊C4—41no—
655C5×C22⋊C4—41no—
656C5×C22⋊C4—41no—
657C5×C22⋊C4—41no—
658C5×C22⋊C4—41no—
659C5×C22⋊C4—41no—
660C5×C22⋊C4—41no—
661C5×C22⋊C4—41no—
662C5×C22⋊C4—41no—
663C5×C22⋊C4—41no—
664C5×C22⋊C4—41no—
665C5×C22⋊C4—41no—
666C5×C22⋊C4—41no—
667C5×C22⋊C4—41no—
668C5×C22⋊C4—41no—
669C5×C22⋊C4—41no—
670C5×C22⋊C4C2×D414yes—
671C5×C22⋊C4C2×D414yescomplemented
672C42×C5—22no—
673C42×C5—22no—
674C42×C5—22no—
675C42×C5—22no—
676C42×C5—41no—
677C42×C5—41no—
678C42×C5C2×D414yescomplemented
679C23×D4C22×C511yescharacteristic
680C23×D4C22×C511yescharacteristic
681C24×C4C22×C511yescharacteristic
682C24×C4C22×C511yescharacteristic, complemented
683#538—28no—
684C2×#126C22×C511yescharacteristic, complemented
685C2×#126C22×C511yescharacteristic, complemented
686C2×#124C22×C511yescharacteristic, complemented
687C2×#124C22×C511yescharacteristic, complemented
688C2×#123C22×C511yescharacteristic, complemented
689C2×#123C22×C511yescharacteristic, complemented
690C2×#123C22×C511yescharacteristic, complemented
691C2×C22⋊Q8C22×C511yescharacteristic, complemented
692C2×C22⋊Q8C22×C511yescharacteristic, complemented
693C2×#121C22×C511yescharacteristic
694C2×#121C22×C511yescharacteristic
695C2×#121C22×C511yescharacteristic
696C2×#121C22×C511yescharacteristic
697C2×#121C22×C511yescharacteristic, complemented
698C2×#121C22×C511yescharacteristic, complemented
699C2×#121C22×C511yescharacteristic, complemented
700C2×#120C22×C511yescharacteristic
701C2×#120C22×C511yescharacteristic
702C2×#120C22×C511yescharacteristic
703C2×#120C22×C511yescharacteristic
704C2×#120C22×C511yescharacteristic
705C2×#120C22×C511yescharacteristic, complemented
706C2×#120C22×C511yescharacteristic, complemented
707C2×C4×D4—28no—
708C2×C4×D4C22×C511yescharacteristic
709C2×C4×D4C22×C511yescharacteristic
710C2×C4×D4C22×C511yescharacteristic
711C2×C4×D4C22×C511yescharacteristic
712C2×C4×D4C22×C511yescharacteristic, complemented
713C2×C4×D4C22×C511yescharacteristic, complemented
714C2×C4×D4C22×C511yescharacteristic, complemented
715C2×C4×D4C22×C511yescharacteristic, complemented
716C2×C4×D4C22×C511yescharacteristic, complemented
717C2×C4×D4C22×C511yescharacteristic, complemented
718C2×C4×D4C22×C511yescharacteristic, complemented
719C22×C4⋊C4C22×C511yescharacteristic, complemented
720C22×C22⋊C4C22×C511yescharacteristic
721C22×C22⋊C4C22×C511yescharacteristic
722C22×C22⋊C4C22×C511yescharacteristic, complemented
723C22×C22⋊C4C22×C511yescharacteristic, complemented
724C22×C22⋊C4C22×C511yescharacteristic, complemented
725C22×C42C22×C511yescharacteristic, complemented
726#400C22×C511yescharacteristic, complemented
727#400C22×C511yescharacteristic, complemented
728#399C22×C511yescharacteristic, complemented
729#399C22×C511yescharacteristic, complemented
730#398C22×C511yescharacteristic, complemented
731#397C22×C511yescharacteristic, complemented
732#397C22×C511yescharacteristic, complemented
733#397C22×C511yescharacteristic, complemented
734#396C22×C511yescharacteristic, complemented
735#396C22×C511yescharacteristic, complemented
736#396C22×C511yescharacteristic, complemented
737#396C22×C511yescharacteristic, complemented
738#394C22×C511yescharacteristic, complemented
739#394C22×C511yescharacteristic, complemented
740#394C22×C511yescharacteristic, complemented
741#394C22×C511yescharacteristic, complemented
742#394C22×C511yescharacteristic, complemented
743#394C22×C511yescharacteristic, complemented
744#394C22×C511yescharacteristic, complemented
745#394C22×C511yescharacteristic, complemented
746#394C22×C511yescharacteristic, complemented
747#393C22×C511yescharacteristic, complemented
748#393C22×C511yescharacteristic, complemented
749#392C22×C511yescharacteristic
750#392C22×C511yescharacteristic
751#392C22×C511yescharacteristic
752#392C22×C511yescharacteristic
753#392C22×C511yescharacteristic, complemented
754#392C22×C511yescharacteristic, complemented
755#392C22×C511yescharacteristic, complemented
756#392C22×C511yescharacteristic, complemented
757#392C22×C511yescharacteristic, complemented
758#391C22×C511yescharacteristic, complemented
759#390C22×C511yescharacteristic, complemented
760#390C22×C511yescharacteristic, complemented
761#390C22×C511yescharacteristic, complemented
762#388C22×C511yescharacteristic, complemented
763#388C22×C511yescharacteristic, complemented
764#388C22×C511yescharacteristic, complemented
765#388C22×C511yescharacteristic, complemented
766#388C22×C511yescharacteristic, complemented
767#388C22×C511yescharacteristic, complemented
768#388C22×C511yescharacteristic, complemented
769#388C22×C511yescharacteristic, complemented
770#388C22×C511yescharacteristic, complemented
771#388C22×C511yescharacteristic, complemented
772#388C22×C511yescharacteristic, complemented
773#388C22×C511yescharacteristic, complemented
774#387C22×C511yescharacteristic, complemented
775#387C22×C511yescharacteristic, complemented
776#387C22×C511yescharacteristic, complemented
777#387C22×C511yescharacteristic, complemented
778#387C22×C511yescharacteristic, complemented
779#387C22×C511yescharacteristic, complemented
780#386C22×C511yescharacteristic
781#386C22×C511yescharacteristic
782#386C22×C511yescharacteristic
783#386C22×C511yescharacteristic
784#386C22×C511yescharacteristic
785#386C22×C511yescharacteristic
786#386C22×C511yescharacteristic
787#386C22×C511yescharacteristic
788#386C22×C511yescharacteristic
789#386C22×C511yescharacteristic
790#386C22×C511yescharacteristic
791#386C22×C511yescharacteristic
792#386C22×C511yescharacteristic, complemented
793#386C22×C511yescharacteristic, complemented
794#386C22×C511yescharacteristic, complemented
795#386C22×C511yescharacteristic, complemented
796#386C22×C511yescharacteristic, complemented
797#386C22×C511yescharacteristic, complemented
798#386C22×C511yescharacteristic, complemented
799#386C22×C511yescharacteristic, complemented
800#386C22×C511yescharacteristic, complemented
801#386C22×C511yescharacteristic, complemented
802#386C22×C511yescharacteristic, complemented
803#386C22×C511yescharacteristic, complemented
804#386C22×C511yescharacteristic, complemented
805#386C22×C511yescharacteristic, complemented
806#386C22×C511yescharacteristic, complemented
807#386C22×C511yescharacteristic, complemented
808#385C22×C511yescharacteristic, complemented
809#385C22×C511yescharacteristic, complemented
810#385C22×C511yescharacteristic, complemented
811#385C22×C511yescharacteristic, complemented
812#385C22×C511yescharacteristic, complemented
813#385C22×C511yescharacteristic, complemented
814#385C22×C511yescharacteristic, complemented
815#385C22×C511yescharacteristic, complemented
816#385C22×C511yescharacteristic, complemented
817#385C22×C511yescharacteristic, complemented
818#385C22×C511yescharacteristic, complemented
819#385C22×C511yescharacteristic, complemented
820#383C22×C511yescharacteristic, complemented
821#382C22×C511yescharacteristic, complemented
822#381C22×C511yescharacteristic, complemented
823#381C22×C511yescharacteristic, complemented
824#380C22×C511yescharacteristic, complemented
825#380C22×C511yescharacteristic, complemented
826#380C22×C511yescharacteristic, complemented
827#380C22×C511yescharacteristic, complemented
828#379C22×C511yescharacteristic
829#379C22×C511yescharacteristic, complemented
830#379C22×C511yescharacteristic, complemented
831C4×C22⋊C4C22×C511yescharacteristic, complemented
832C4×C22⋊C4C22×C511yescharacteristic, complemented
833C4×C22⋊C4C22×C511yescharacteristic, complemented
834C2×#95C22×C511yescharacteristic, complemented
835C2×#95C22×C511yescharacteristic, complemented
836C23×C5—21no—
837C23×C5—21no—
838C23×C5—21no—
839C23×C5—21no—
840C23×C5—21no—
841C23×C5—21no—
842C23×C5—21no—
843C23×C5—21no—
844C23×C5—28no—
845C23×C5—28no—
846C23×C5—28no—
847C23×C5—21no—
848C23×C5—21no—
849C23×C5—21no—
850C23×C5—21no—
851C23×C5—21no—
852C23×C5—21no—
853C23×C5—21no—
854C23×C5—21no—
855C23×C5—21no—
856C23×C5—21no—
857C23×C5—21no—
858C23×C5—21no—
859C23×C5—21no—
860C23×C5—21no—
861C23×C5—21no—
862C23×C5—21no—
863C23×C5—21no—
864C23×C5—21no—
865C23×C5—21no—
866C23×C5—21no—
867C23×C5—21no—
868C23×C5—21no—
869C23×C5—21no—
870C23×C5—21no—
871C23×C5—21no—
872C23×C5—21no—
873C23×C5—21no—
874C23×C5—21no—
875C23×C5—21no—
876C23×C5—21no—
877C23×C5—21no—
878C23×C5—21no—
879C23×C5—21no—
880C23×C5—21no—
881C23×C5—21no—
882C23×C5—21no—
883C23×C5—21no—
884C23×C5—21no—
885C23×C5—21no—
886C23×C5—44no—
887C23×C5—44no—
888C23×C5—44no—
889C23×C5—44no—
890C23×C5—44no—
891C23×C5—44no—
892C23×C5—44no—
893C23×C5—44no—
894C23×C5—44no—
895C23×C5—44no—
896C23×C5—44no—
897C23×C5—44no—
898C23×C5—44no—
899C23×C5—44no—
900C23×C5—82no—
901C23×C5—82no—
902C23×C5—82no—
903C23×C5—82no—
904C23×C5C22×D412yes—
905C23×C5C22×D412yes—
906C23×C5C2×#4112yes—
907C23×C5C2×#4112yes—
908C23×C5C2×#4112yes—
909C23×C5C2×#4112yes—
910C23×C5C2×#4112yes—
911C23×C5H(5,𝔽2)12yes—
912C23×C5H(5,𝔽2)12yes—
913C23×C5C2511yescharacteristic
914C5×Q8—82no—
915C5×D4—28no—
916C5×D4—28no—
917C5×D4—28no—
918C5×D4—28no—
919C5×D4—44no—
920C5×D4—44no—
921C5×D4—44no—
922C5×D4—44no—
923C5×D4—44no—
924C5×D4—44no—
925C5×D4—44no—
926C5×D4—82no—
927C5×D4—82no—
928C5×D4—82no—
929C5×D4—82no—
930C5×D4—82no—
931C5×D4—82no—
932C5×D4—82no—
933C5×D4—82no—
934C2×C4×C5—28no—
935C2×C4×C5—28no—
936C2×C4×C5—21no—
937C2×C4×C5—21no—
938C2×C4×C5—21no—
939C2×C4×C5—21no—
940C2×C4×C5—21no—
941C2×C4×C5—21no—
942C2×C4×C5—21no—
943C2×C4×C5—21no—
944C2×C4×C5—21no—
945C2×C4×C5—21no—
946C2×C4×C5—21no—
947C2×C4×C5—21no—
948C2×C4×C5—21no—
949C2×C4×C5—21no—
950C2×C4×C5—21no—
951C2×C4×C5—21no—
952C2×C4×C5—21no—
953C2×C4×C5—21no—
954C2×C4×C5—21no—
955C2×C4×C5—21no—
956C2×C4×C5—21no—
957C2×C4×C5—21no—
958C2×C4×C5—21no—
959C2×C4×C5—21no—
960C2×C4×C5—21no—
961C2×C4×C5—21no—
962C2×C4×C5—21no—
963C2×C4×C5—21no—
964C2×C4×C5—21no—
965C2×C4×C5—21no—
966C2×C4×C5—21no—
967C2×C4×C5—21no—
968C2×C4×C5—21no—
969C2×C4×C5—21no—
970C2×C4×C5—21no—
971C2×C4×C5—21no—
972C2×C4×C5—21no—
973C2×C4×C5—21no—
974C2×C4×C5—21no—
975C2×C4×C5—21no—
976C2×C4×C5—21no—
977C2×C4×C5—21no—
978C2×C4×C5—21no—
979C2×C4×C5—21no—
980C2×C4×C5—21no—
981C2×C4×C5—21no—
982C2×C4×C5—21no—
983C2×C4×C5—21no—
984C2×C4×C5—21no—
985C2×C4×C5—21no—
986C2×C4×C5—21no—
987C2×C4×C5—21no—
988C2×C4×C5—21no—
989C2×C4×C5—21no—
990C2×C4×C5—21no—
991C2×C4×C5—21no—
992C2×C4×C5—21no—
993C2×C4×C5—21no—
994C2×C4×C5—21no—
995C2×C4×C5—21no—
996C2×C4×C5—21no—
997C2×C4×C5—21no—
998C2×C4×C5—44no—
999C2×C4×C5—44no—
1000C2×C4×C5—44no—
1001C2×C4×C5—44no—
1002C2×C4×C5—44no—
1003C2×C4×C5—44no—
1004C2×C4×C5—44no—
1005C2×C4×C5—44no—
1006C2×C4×C5—44no—
1007C2×C4×C5—44no—
1008C2×C4×C5—44no—
1009C2×C4×C5—44no—
1010C2×C4×C5—82no—
1011C2×C4×C5—82no—
1012C2×C4×C5—82no—
1013C2×C4×C5C22×D412yes—
1014C2×C4×C5C22×D412yes—
1015C2×C4×C5C22×D412yes—
1016C2×C4×C5C22×D412yes—
1017C2×C4×C5C22×D412yes—
1018C2×C4×C5C2×#4112yes—
1019C2×C4×C5H(5,𝔽2)12yes—
1020C25C23×C511yescharacteristic
1021C25C23×C511yescharacteristic
1022C25C23×C511yescharacteristic
1023C22×Q8C23×C511yescharacteristic
1024C22×D4—24no—
1025C22×D4—24no—
1026C22×D4—24no—
1027C22×D4—24no—
1028C22×D4—42no—
1029C22×D4—42no—
1030C22×D4C23×C511yescharacteristic
1031C22×D4C23×C511yescharacteristic
1032C22×D4C23×C511yescharacteristic
1033C22×D4C23×C511yescharacteristic
1034C22×D4C23×C511yescharacteristic
1035C22×D4C23×C511yescharacteristic
1036C22×D4C23×C511yescharacteristic
1037C22×D4C23×C511yescharacteristic
1038C22×D4C23×C511yescharacteristic
1039C22×D4C23×C511yescharacteristic
1040C22×D4C23×C511yescharacteristic
1041C22×D4C23×C511yescharacteristic
1042C22×D4C23×C511yescharacteristic
1043C22×D4C23×C511yescharacteristic
1044C22×D4C23×C511yescharacteristic
1045C22×D4C23×C511yescharacteristic
1046C22×D4C23×C511yescharacteristic
1047C22×D4C23×C511yescharacteristic
1048C22×D4C23×C511yescharacteristic
1049C23×C4—24no—
1050C23×C4—24no—
1051C23×C4—42no—
1052C23×C4—42no—
1053C23×C4—42no—
1054C23×C4—42no—
1055C23×C4C23×C511yescharacteristic
1056C23×C4C23×C511yescharacteristic
1057C23×C4C23×C511yescharacteristic
1058C23×C4C23×C511yescharacteristic
1059C23×C4C23×C511yescharacteristic
1060C23×C4C23×C511yescharacteristic
1061C23×C4C23×C511yescharacteristic
1062C23×C4C23×C511yescharacteristic
1063C23×C4C23×C511yescharacteristic
1064C23×C4C23×C511yescharacteristic
1065C23×C4C23×C511yescharacteristic
1066C23×C4C23×C511yescharacteristic
1067C23×C4C23×C511yescharacteristic
1068C23×C4C23×C511yescharacteristic
1069C23×C4C23×C511yescharacteristic
1070C23×C4C23×C511yescharacteristic
1071C23×C4C23×C511yescharacteristic
1072#126—24no—
1073#126—24no—
1074#124—24no—
1075#124—24no—
1076#123—24no—
1077#123—24no—
1078#123—42no—
1079C22⋊Q8—24no—
1080C22⋊Q8—42no—
1081#121—24no—
1082#121—24no—
1083#121—24no—
1084#121—24no—
1085#121—42no—
1086#121—42no—
1087#121—42no—
1088#120—24no—
1089#120—24no—
1090#120—24no—
1091#120—24no—
1092#120—42no—
1093#120—42no—
1094#120—42no—
1095C4×D4—24no—
1096C4×D4—24no—
1097C4×D4—24no—
1098C4×D4—24no—
1099C4×D4—24no—
1100C4×D4—24no—
1101C4×D4—24no—
1102C4×D4—24no—
1103C4×D4—42no—
1104C4×D4—42no—
1105C4×D4C5×D418yescomplemented
1106C2×C4⋊C4—24no—
1107C2×C4⋊C4C23×C511yescharacteristic
1108C2×C4⋊C4C23×C511yescharacteristic
1109C2×C4⋊C4C23×C511yescharacteristic
1110C2×C4⋊C4C23×C511yescharacteristic
1111C2×C4⋊C4C23×C511yescharacteristic
1112C2×C4⋊C4C23×C511yescharacteristic
1113C2×C4⋊C4C23×C511yescharacteristic
1114C2×C4⋊C4C23×C511yescharacteristic
1115C2×C4⋊C4C23×C511yescharacteristic
1116C2×C4⋊C4C23×C511yescharacteristic
1117C2×C4⋊C4C23×C511yescharacteristic
1118C2×C4⋊C4C23×C511yescharacteristic
1119C2×C4⋊C4C23×C511yescharacteristic
1120C2×C4⋊C4C23×C511yescharacteristic
1121C2×C4⋊C4C23×C511yescharacteristic
1122C2×C4⋊C4C23×C511yescharacteristic
1123C2×C4⋊C4C23×C511yescharacteristic
1124C2×C4⋊C4C23×C511yescharacteristic
1125C2×C4⋊C4C23×C511yescharacteristic
1126C2×C4⋊C4C23×C511yescharacteristic
1127C2×C22⋊C4—24no—
1128C2×C22⋊C4—24no—
1129C2×C22⋊C4—24no—
1130C2×C22⋊C4—42no—
1131C2×C22⋊C4—42no—
1132C2×C22⋊C4C23×C511yescharacteristic
1133C2×C22⋊C4C23×C511yescharacteristic
1134C2×C22⋊C4C23×C511yescharacteristic
1135C2×C22⋊C4C23×C511yescharacteristic
1136C2×C22⋊C4C23×C511yescharacteristic
1137C2×C22⋊C4C23×C511yescharacteristic
1138C2×C22⋊C4C23×C511yescharacteristic
1139C2×C22⋊C4C23×C511yescharacteristic
1140C2×C22⋊C4C23×C511yescharacteristic
1141C2×C22⋊C4C23×C511yescharacteristic
1142C2×C22⋊C4C23×C511yescharacteristic
1143C2×C22⋊C4C23×C511yescharacteristic
1144C2×C22⋊C4C23×C511yescharacteristic
1145C2×C22⋊C4C23×C511yescharacteristic
1146C2×C22⋊C4C23×C511yescharacteristic
1147C2×C22⋊C4C23×C511yescharacteristic
1148C2×C22⋊C4C23×C511yescharacteristic
1149C2×C22⋊C4C23×C511yescharacteristic
1150C2×C22⋊C4C23×C511yescharacteristic
1151C2×C22⋊C4C23×C511yescharacteristic
1152C2×C22⋊C4C23×C511yescharacteristic
1153C2×C22⋊C4C23×C511yescharacteristic
1154C2×C22⋊C4C23×C511yescharacteristic
1155C2×C22⋊C4C23×C511yescharacteristic
1156C2×C22⋊C4C23×C511yescharacteristic
1157C2×C22⋊C4C23×C511yescharacteristic
1158C2×C22⋊C4C23×C511yescharacteristic
1159C2×C22⋊C4C23×C511yescharacteristic
1160C2×C22⋊C4C23×C511yescharacteristic
1161C2×C22⋊C4C23×C511yescharacteristic
1162C2×C22⋊C4C23×C511yescharacteristic
1163C2×C22⋊C4C23×C511yescharacteristic
1164C2×C22⋊C4C23×C511yescharacteristic
1165C2×C22⋊C4C23×C511yescharacteristic
1166C2×C22⋊C4C23×C511yescharacteristic
1167C2×C22⋊C4C23×C511yescharacteristic
1168C2×C22⋊C4C23×C511yescharacteristic
1169C2×C22⋊C4C23×C511yescharacteristic
1170C2×C22⋊C4C23×C511yescharacteristic
1171C2×C22⋊C4C23×C511yescharacteristic
1172C2×C22⋊C4C23×C511yescharacteristic
1173C2×C22⋊C4C23×C511yescharacteristic
1174C2×C22⋊C4C23×C511yescharacteristic
1175C2×C22⋊C4C23×C511yescharacteristic
1176C2×C22⋊C4C23×C511yescharacteristic
1177C2×C22⋊C4C23×C511yescharacteristic
1178C2×C22⋊C4C23×C511yescharacteristic
1179C2×C22⋊C4C23×C511yescharacteristic
1180C2×C22⋊C4C23×C511yescharacteristic
1181C2×C22⋊C4C23×C511yescharacteristic
1182C2×C22⋊C4C23×C511yescharacteristic
1183C2×C22⋊C4C23×C511yescharacteristic
1184C2×C22⋊C4C23×C511yescharacteristic
1185C2×C22⋊C4C23×C511yescharacteristic
1186C2×C22⋊C4C23×C511yescharacteristic
1187C2×C22⋊C4C23×C511yescharacteristic
1188C2×C42—24no—
1189C2×C42C23×C511yescharacteristic
1190C2×C42C23×C511yescharacteristic
1191C2×C42C23×C511yescharacteristic
1192C2×C42C23×C511yescharacteristic
1193C2×C42C23×C511yescharacteristic
1194C2×C42C23×C511yescharacteristic
1195C2×C42C23×C511yescharacteristic
1196#95C23×C511yescharacteristic
1197#95C23×C511yescharacteristic
1198#95C23×C511yescharacteristic
1199#95C23×C511yescharacteristic
1200#95C23×C511yescharacteristic
1201#95C23×C511yescharacteristic
1202#95C23×C511yescharacteristic
1203#95C23×C511yescharacteristic
1204#95C23×C511yescharacteristic
1205#95C23×C511yescharacteristic
1206#95C23×C511yescharacteristic
1207#95C23×C511yescharacteristic
1208#95C23×C511yescharacteristic
1209#95C23×C511yescharacteristic
1210#95C23×C511yescharacteristic
1211#95C23×C511yescharacteristic
1212#95C23×C511yescharacteristic
1213#95C23×C511yescharacteristic
1214#95C23×C511yescharacteristic
1215#95C23×C511yescharacteristic
1216#95C23×C511yescharacteristic
1217#95C23×C511yescharacteristic
1218#95C23×C511yescharacteristic
1219#95C23×C511yescharacteristic
1220#95C23×C511yescharacteristic
1221#95C23×C511yescharacteristic
1222#95C23×C511yescharacteristic
1223#95C23×C511yescharacteristic
1224#95C23×C511yescharacteristic
1225#95C23×C511yescharacteristic
1226#95C23×C511yescharacteristic
1227#95C23×C511yescharacteristic
1228C22×C5—22no—
1229C22×C5—22no—
1230C22×C5—22no—
1231C22×C5—22no—
1232C22×C5—22no—
1233C22×C5—22no—
1234C22×C5—22no—
1235C22×C5—22no—
1236C22×C5—22no—
1237C22×C5—22no—
1238C22×C5—22no—
1239C22×C5—22no—
1240C22×C5—22no—
1241C22×C5—22no—
1242C22×C5—22no—
1243C22×C5—22no—
1244C22×C5—22no—
1245C22×C5—22no—
1246C22×C5—22no—
1247C22×C5—22no—
1248C22×C5—22no—
1249C22×C5—416no—
1250C22×C5—416no—
1251C22×C5—41no—
1252C22×C5—41no—
1253C22×C5—41no—
1254C22×C5—41no—
1255C22×C5—41no—
1256C22×C5—41no—
1257C22×C5—41no—
1258C22×C5—41no—
1259C22×C5—41no—
1260C22×C5—41no—
1261C22×C5—41no—
1262C22×C5—41no—
1263C22×C5—41no—
1264C22×C5—41no—
1265C22×C5—41no—
1266C22×C5—41no—
1267C22×C5—41no—
1268C22×C5—41no—
1269C22×C5—41no—
1270C22×C5—41no—
1271C22×C5—41no—
1272C22×C5—41no—
1273C22×C5—41no—
1274C22×C5—41no—
1275C22×C5—41no—
1276C22×C5—41no—
1277C22×C5—41no—
1278C22×C5—41no—
1279C22×C5—41no—
1280C22×C5—41no—
1281C22×C5—41no—
1282C22×C5—41no—
1283C22×C5—41no—
1284C22×C5—88no—
1285C22×C5#52514yes—
1286C22×C5#53814yescomplemented
1287C22×C5C23×D411yescharacteristic
1288C22×C5C22×#4111yescharacteristic
1289C22×C5C22×#4111yescharacteristic
1290C22×C5C2×H(5,𝔽2)11yescharacteristic
1291C22×C5C2×H(5,𝔽2)11yescharacteristic
1292C22×C5C2×H(5,𝔽2)11yescharacteristic
1293C22×C5#58511yescharacteristic
1294C4×C5—22no—
1295C4×C5—22no—
1296C4×C5—22no—
1297C4×C5—22no—
1298C4×C5—22no—
1299C4×C5—22no—
1300C4×C5—22no—
1301C4×C5—41no—
1302C4×C5—41no—
1303C4×C5—41no—
1304C4×C5—41no—
1305C4×C5—41no—
1306C4×C5—41no—
1307C4×C5—41no—
1308C4×C5—41no—
1309C4×C5—41no—
1310C4×C5—41no—
1311C4×C5—41no—
1312C4×C5—41no—
1313C4×C5—41no—
1314C4×C5—41no—
1315C4×C5—41no—
1316C4×C5—41no—
1317C24—22no—
1318C24—22no—
1319C24—22no—
1320C24—22no—
1321C24—22no—
1322C24—22no—
1323C24—22no—
1324C24—22no—
1325C24—22no—
1326C24—22no—
1327C24—22no—
1328C24—22no—
1329C24—41no—
1330C24—41no—
1331C24—41no—
1332C24—41no—
1333C24—41no—
1334C24—41no—
1335C24—41no—
1336C24—41no—
1337C24C5×#4114yes—
1338C24C24×C511yescharacteristic
1339C24C24×C511yescharacteristic
1340C24C24×C511yescharacteristic
1341C24C24×C511yescharacteristic
1342C24C24×C511yescharacteristic
1343C24C24×C511yescharacteristic
1344C24C24×C511yescharacteristic
1345C24C24×C511yescharacteristic
1346C2×Q8—22no—
1347C2×Q8—41no—
1348C2×Q8—41no—
1349C2×D4—232no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4—41no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—416no—
1406C2×D4C2×C5×D414yes—
1407C2×D4C5×#4114yes—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—41no—
1435C22×C4—41no—
1436C22×C4—41no—
1437C22×C4—41no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—41no—
1441C22×C4—41no—
1442C22×C4—41no—
1443C22×C4—41no—
1444C22×C4—41no—
1445C22×C4—41no—
1446C22×C4—41no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—41no—
1451C22×C4—41no—
1452C22×C4—41no—
1453C22×C4—41no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—41no—
1457C22×C4—416no—
1458C22×C4—416no—
1459C22×C4C2×C5×D414yes—
1460C22×C4C2×C5×D414yescomplemented
1461C22×C4C24×C511yescharacteristic
1462C22×C4C24×C511yescharacteristic
1463C22×C4C24×C511yescharacteristic
1464C22×C4C24×C511yescharacteristic
1465C22×C4C24×C511yescharacteristic
1466C22×C4C24×C511yescharacteristic
1467C22×C4C24×C511yescharacteristic
1468C22×C4C24×C511yescharacteristic
1469C22×C4C24×C511yescharacteristic
1470C22×C4C24×C511yescharacteristic
1471C22×C4C24×C511yescharacteristic
1472C22×C4C24×C511yescharacteristic
1473C22×C4C24×C511yescharacteristic
1474C22×C4C24×C511yescharacteristic
1475C22×C4C24×C511yescharacteristic
1476C22×C4C24×C511yescharacteristic
1477C22×C4C24×C511yescharacteristic
1478C22×C4C24×C511yescharacteristic
1479C22×C4C24×C511yescharacteristic
1480C22×C4C24×C511yescharacteristic
1481C22×C4C24×C511yescharacteristic
1482C22×C4C24×C511yescharacteristic
1483C22×C4C24×C511yescharacteristic
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—41no—
1495C4⋊C4—41no—
1496C4⋊C4—41no—
1497C4⋊C4—41no—
1498C4⋊C4—41no—
1499C4⋊C4—41no—
1500C4⋊C4—41no—
1501C4⋊C4—41no—
1502C4⋊C4—41no—
1503C4⋊C4C2×C5×D414yescomplemented
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—22no—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—22no—
1516C22⋊C4—22no—
1517C22⋊C4—22no—
1518C22⋊C4—22no—
1519C22⋊C4—22no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—22no—
1532C22⋊C4—22no—
1533C22⋊C4—22no—
1534C22⋊C4—22no—
1535C22⋊C4—22no—
1536C22⋊C4—22no—
1537C22⋊C4—41no—
1538C22⋊C4—41no—
1539C22⋊C4—41no—
1540C22⋊C4—41no—
1541C22⋊C4—41no—
1542C22⋊C4—41no—
1543C22⋊C4—41no—
1544C22⋊C4—41no—
1545C22⋊C4—41no—
1546C22⋊C4—41no—
1547C22⋊C4—41no—
1548C22⋊C4—41no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—41no—
1557C22⋊C4—41no—
1558C22⋊C4C2×C5×D414yes—
1559C22⋊C4C2×C5×D414yescomplemented
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—41no—
1565C42—41no—
1566C42C2×C5×D414yescomplemented
1567C2×C5—24no—
1568C2×C5—24no—
1569C2×C5—42no—
1570C2×C5—42no—
1571C2×C5—42no—
1572C2×C5—81no—
1573C2×C5—81no—
1574C2×C5—81no—
1575C2×C5C2×#52511yescharacteristic
1576C2×C5C2×#53811yescharacteristic
1577C2×C5#345911yescharacteristic
1578C2×C5#348411yescharacteristic
1579C2×C5#348811yescharacteristic
1580C2×C5#351311yescharacteristic
1581C2×C5#351911yescharacteristic
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—28no—
1591C23—28no—
1592C23—28no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—44no—
1633C23—44no—
1634C23—44no—
1635C23—44no—
1636C23—44no—
1637C23—44no—
1638C23—44no—
1639C23—44no—
1640C23—44no—
1641C23—44no—
1642C23—44no—
1643C23—44no—
1644C23—44no—
1645C23—44no—
1646C23—82no—
1647C23—82no—
1648C23—82no—
1649C23—82no—
1650C23C22×C5×D412yes—
1651C23C22×C5×D412yes—
1652C23C2×C5×#4112yes—
1653C23C2×C5×#4112yes—
1654C23C2×C5×#4112yes—
1655C23C2×C5×#4112yes—
1656C23C2×C5×#4112yes—
1657C23C5×H(5,𝔽2)12yes—
1658C23C5×H(5,𝔽2)12yes—
1659C23C25×C511yescharacteristic
1660Q8—82no—
1661D4—28no—
1662D4—28no—
1663D4—28no—
1664D4—28no—
1665D4—44no—
1666D4—44no—
1667D4—44no—
1668D4—44no—
1669D4—44no—
1670D4—44no—
1671D4—44no—
1672D4—82no—
1673D4—82no—
1674D4—82no—
1675D4—82no—
1676D4—82no—
1677D4—82no—
1678D4—82no—
1679D4—82no—
1680C2×C4—28no—
1681C2×C4—28no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—44no—
1745C2×C4—44no—
1746C2×C4—44no—
1747C2×C4—44no—
1748C2×C4—44no—
1749C2×C4—44no—
1750C2×C4—44no—
1751C2×C4—44no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—44no—
1756C2×C4—82no—
1757C2×C4—82no—
1758C2×C4—82no—
1759C2×C4C22×C5×D412yes—
1760C2×C4C22×C5×D412yes—
1761C2×C4C22×C5×D412yes—
1762C2×C4C22×C5×D412yes—
1763C2×C4C22×C5×D412yes—
1764C2×C4C2×C5×#4112yes—
1765C2×C4C5×H(5,𝔽2)12yes—
1766C5#3499011yescharacteristic, direct product factor, Sylow
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—416no—
1789C22—416no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—88no—
1824C22C5×#52514yes—
1825C22C5×#53814yescomplemented
1826C22C23×C5×D411yescharacteristic
1827C22C22×C5×#4111yescharacteristic
1828C22C22×C5×#4111yescharacteristic
1829C22C2×C5×H(5,𝔽2)11yescharacteristic
1830C22C2×C5×H(5,𝔽2)11yescharacteristic
1831C22C2×C5×H(5,𝔽2)11yescharacteristic
1832C22C5×#58511yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—42no—
1860C2—42no—
1861C2—81no—
1862C2—81no—
1863C2—81no—
1864C2C2×C5×#52511yescharacteristic
1865C2C2×C5×#53811yescharacteristic
1866C2C5×#345911yescharacteristic
1867C2C5×#348411yescharacteristic
1868C2C5×#348811yescharacteristic
1869C2C5×#351311yescharacteristic
1870C2C5×#351911yescharacteristic
subgroupG/H
center, socleC23×C5C25
commutator, Frattini, cosocleC23C25×C5
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C5 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C5×#538C2semidirect
2. C22×C4×C5×D4C2semidirect
3. C5×#2852C2semidirect
4. C5×#2850C2semidirect
5. C5×#2849C2semidirect
6. C5×#2847C2semidirect
7. C5×#2636C2semidirect
8. C5×#2635C2semidirect
9. C5×#2631C2semidirect
10. C5×#2630C2semidirect
11. C5×#2481C2semidirect
12. C5×#2472C2semidirect
13. C5×#2467C2semidirect
14. C5×#2459C2semidirect
15. C5×#2456C2semidirect
16. C5×#2456C2semidirect
17. C5×#2450C2semidirect
18. C5×#2444C2semidirect
19. C5×#2443C2semidirect
20. C5×#2437C2semidirect
21. C5×#2424C2semidirect
22. C5×#2424C2semidirect
23. C5×#2418C2semidirect
24. C5×#2410C2semidirect
25. C5×#2410C2semidirect
26. C5×#2403C2semidirect
27. C5×#2325C2semidirect
28. C5×#2321C2semidirect
29. C5×#2318C2semidirect
30. C4×C5×#120C2semidirect
31. C2×C5×#386C2semidirect
35. C24×C4×C5C22semidirect
37. C2×C5×#126C22semidirect
38. C2×C5×#126C22semidirect
39. C2×C5×#124C22semidirect
40. C2×C5×#124C22semidirect
41. C2×C5×#123C22semidirect
42. C2×C5×#123C22semidirect
43. C2×C5×#123C22semidirect
44. C2×C5×C22⋊Q8C22semidirect
45. C2×C5×C22⋊Q8C22semidirect
50. C2×C5×#121C22semidirect
51. C2×C5×#121C22semidirect
52. C2×C5×#121C22semidirect
58. C2×C5×#120C22semidirect
59. C2×C5×#120C22semidirect
65. C2×C4×C5×D4C22semidirect
66. C2×C4×C5×D4C22semidirect
67. C2×C4×C5×D4C22semidirect
68. C2×C4×C5×D4C22semidirect
69. C2×C4×C5×D4C22semidirect
70. C2×C4×C5×D4C22semidirect
71. C2×C4×C5×D4C22semidirect
72. C22×C5×C4⋊C4C22semidirect
75. C22×C5×C22⋊C4C22semidirect
76. C22×C5×C22⋊C4C22semidirect
77. C22×C5×C22⋊C4C22semidirect
78. C22×C42×C5C22semidirect
79. C5×#400C22semidirect
80. C5×#400C22semidirect
81. C5×#399C22semidirect
82. C5×#399C22semidirect
83. C5×#398C22semidirect
84. C5×#397C22semidirect
85. C5×#397C22semidirect
86. C5×#397C22semidirect
87. C5×#396C22semidirect
88. C5×#396C22semidirect
89. C5×#396C22semidirect
90. C5×#396C22semidirect
91. C5×#394C22semidirect
92. C5×#394C22semidirect
93. C5×#394C22semidirect
94. C5×#394C22semidirect
95. C5×#394C22semidirect
96. C5×#394C22semidirect
97. C5×#394C22semidirect
98. C5×#394C22semidirect
99. C5×#394C22semidirect
100. C5×#393C22semidirect
101. C5×#393C22semidirect
106. C5×#392C22semidirect
107. C5×#392C22semidirect
108. C5×#392C22semidirect
109. C5×#392C22semidirect
110. C5×#392C22semidirect
111. C5×#391C22semidirect
112. C5×#390C22semidirect
113. C5×#390C22semidirect
114. C5×#390C22semidirect
115. C5×#388C22semidirect
116. C5×#388C22semidirect
117. C5×#388C22semidirect
118. C5×#388C22semidirect
119. C5×#388C22semidirect
120. C5×#388C22semidirect
121. C5×#388C22semidirect
122. C5×#388C22semidirect
123. C5×#388C22semidirect
124. C5×#388C22semidirect
125. C5×#388C22semidirect
126. C5×#388C22semidirect
127. C5×#387C22semidirect
128. C5×#387C22semidirect
129. C5×#387C22semidirect
130. C5×#387C22semidirect
131. C5×#387C22semidirect
132. C5×#387C22semidirect
145. C5×#386C22semidirect
146. C5×#386C22semidirect
147. C5×#386C22semidirect
148. C5×#386C22semidirect
149. C5×#386C22semidirect
150. C5×#386C22semidirect
151. C5×#386C22semidirect
152. C5×#386C22semidirect
153. C5×#386C22semidirect
154. C5×#386C22semidirect
155. C5×#386C22semidirect
156. C5×#386C22semidirect
157. C5×#386C22semidirect
158. C5×#386C22semidirect
159. C5×#386C22semidirect
160. C5×#386C22semidirect
161. C5×#385C22semidirect
162. C5×#385C22semidirect
163. C5×#385C22semidirect
164. C5×#385C22semidirect
165. C5×#385C22semidirect
166. C5×#385C22semidirect
167. C5×#385C22semidirect
168. C5×#385C22semidirect
169. C5×#385C22semidirect
170. C5×#385C22semidirect
171. C5×#385C22semidirect
172. C5×#385C22semidirect
173. C5×#383C22semidirect
174. C5×#382C22semidirect
175. C5×#381C22semidirect
176. C5×#381C22semidirect
177. C5×#380C22semidirect
178. C5×#380C22semidirect
179. C5×#380C22semidirect
180. C5×#380C22semidirect
182. C5×#379C22semidirect
183. C5×#379C22semidirect
184. C4×C5×C22⋊C4C22semidirect
185. C4×C5×C22⋊C4C22semidirect
186. C4×C5×C22⋊C4C22semidirect
187. C2×C5×#95C22semidirect
188. C2×C5×#95C22semidirect
189. #34990C5direct (N × H)
275. C4×C5×D4D4semidirect
398. C2×#538C2×C5semidirect
399. C22×C4×D4C2×C5semidirect
400. #2852C2×C5semidirect
401. #2850C2×C5semidirect
402. #2849C2×C5semidirect
403. #2847C2×C5semidirect
404. #2636C2×C5semidirect
405. #2635C2×C5semidirect
406. #2631C2×C5semidirect
407. #2630C2×C5semidirect
408. #2481C2×C5semidirect
409. #2472C2×C5semidirect
410. #2467C2×C5semidirect
411. #2459C2×C5semidirect
412. #2456C2×C5semidirect
413. #2456C2×C5semidirect
414. #2450C2×C5semidirect
415. #2444C2×C5semidirect
416. #2443C2×C5semidirect
417. #2437C2×C5semidirect
418. #2424C2×C5semidirect
419. #2424C2×C5semidirect
420. #2418C2×C5semidirect
421. #2410C2×C5semidirect
422. #2410C2×C5semidirect
423. #2403C2×C5semidirect
424. #2325C2×C5semidirect
425. #2321C2×C5semidirect
426. #2318C2×C5semidirect
427. C4×#120C2×C5semidirect
428. C2×#386C2×C5semidirect
572. C22×C4×C5C2×D4semidirect
615. C5×C4⋊C4C2×D4semidirect
671. C5×C22⋊C4C2×D4semidirect
678. C42×C5C2×D4semidirect
682. C24×C4C22×C5semidirect
684. C2×#126C22×C5semidirect
685. C2×#126C22×C5semidirect
686. C2×#124C22×C5semidirect
687. C2×#124C22×C5semidirect
688. C2×#123C22×C5semidirect
689. C2×#123C22×C5semidirect
690. C2×#123C22×C5semidirect
691. C2×C22⋊Q8C22×C5semidirect
692. C2×C22⋊Q8C22×C5semidirect
697. C2×#121C22×C5semidirect
698. C2×#121C22×C5semidirect
699. C2×#121C22×C5semidirect
705. C2×#120C22×C5semidirect
706. C2×#120C22×C5semidirect
712. C2×C4×D4C22×C5semidirect
713. C2×C4×D4C22×C5semidirect
714. C2×C4×D4C22×C5semidirect
715. C2×C4×D4C22×C5semidirect
716. C2×C4×D4C22×C5semidirect
717. C2×C4×D4C22×C5semidirect
718. C2×C4×D4C22×C5semidirect
719. C22×C4⋊C4C22×C5semidirect
722. C22×C22⋊C4C22×C5semidirect
723. C22×C22⋊C4C22×C5semidirect
724. C22×C22⋊C4C22×C5semidirect
725. C22×C42C22×C5semidirect
726. #400C22×C5semidirect
727. #400C22×C5semidirect
728. #399C22×C5semidirect
729. #399C22×C5semidirect
730. #398C22×C5semidirect
731. #397C22×C5semidirect
732. #397C22×C5semidirect
733. #397C22×C5semidirect
734. #396C22×C5semidirect
735. #396C22×C5semidirect
736. #396C22×C5semidirect
737. #396C22×C5semidirect
738. #394C22×C5semidirect
739. #394C22×C5semidirect
740. #394C22×C5semidirect
741. #394C22×C5semidirect
742. #394C22×C5semidirect
743. #394C22×C5semidirect
744. #394C22×C5semidirect
745. #394C22×C5semidirect
746. #394C22×C5semidirect
747. #393C22×C5semidirect
748. #393C22×C5semidirect
753. #392C22×C5semidirect
754. #392C22×C5semidirect
755. #392C22×C5semidirect
756. #392C22×C5semidirect
757. #392C22×C5semidirect
758. #391C22×C5semidirect
759. #390C22×C5semidirect
760. #390C22×C5semidirect
761. #390C22×C5semidirect
762. #388C22×C5semidirect
763. #388C22×C5semidirect
764. #388C22×C5semidirect
765. #388C22×C5semidirect
766. #388C22×C5semidirect
767. #388C22×C5semidirect
768. #388C22×C5semidirect
769. #388C22×C5semidirect
770. #388C22×C5semidirect
771. #388C22×C5semidirect
772. #388C22×C5semidirect
773. #388C22×C5semidirect
774. #387C22×C5semidirect
775. #387C22×C5semidirect
776. #387C22×C5semidirect
777. #387C22×C5semidirect
778. #387C22×C5semidirect
779. #387C22×C5semidirect
792. #386C22×C5semidirect
793. #386C22×C5semidirect
794. #386C22×C5semidirect
795. #386C22×C5semidirect
796. #386C22×C5semidirect
797. #386C22×C5semidirect
798. #386C22×C5semidirect
799. #386C22×C5semidirect
800. #386C22×C5semidirect
801. #386C22×C5semidirect
802. #386C22×C5semidirect
803. #386C22×C5semidirect
804. #386C22×C5semidirect
805. #386C22×C5semidirect
806. #386C22×C5semidirect
807. #386C22×C5semidirect
808. #385C22×C5semidirect
809. #385C22×C5semidirect
810. #385C22×C5semidirect
811. #385C22×C5semidirect
812. #385C22×C5semidirect
813. #385C22×C5semidirect
814. #385C22×C5semidirect
815. #385C22×C5semidirect
816. #385C22×C5semidirect
817. #385C22×C5semidirect
818. #385C22×C5semidirect
819. #385C22×C5semidirect
820. #383C22×C5semidirect
821. #382C22×C5semidirect
822. #381C22×C5semidirect
823. #381C22×C5semidirect
824. #380C22×C5semidirect
825. #380C22×C5semidirect
826. #380C22×C5semidirect
827. #380C22×C5semidirect
829. #379C22×C5semidirect
830. #379C22×C5semidirect
831. C4×C22⋊C4C22×C5semidirect
832. C4×C22⋊C4C22×C5semidirect
833. C4×C22⋊C4C22×C5semidirect
834. C2×#95C22×C5semidirect
835. C2×#95C22×C5semidirect
1105. C4×D4C5×D4semidirect
1286. C22×C5#538semidirect
1460. C22×C4C2×C5×D4semidirect
1503. C4⋊C4C2×C5×D4semidirect
1559. C22⋊C4C2×C5×D4semidirect
1566. C42C2×C5×D4semidirect
1766. C5#34990direct (N × H)
1825. C22C5×#538semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#5382
C22×C4×C5×D42
C5×#28522
C5×#28502
C5×#28492
C5×#28472
C5×#26362
C5×#26352
C5×#26312
C5×#26302
C5×#24812
C5×#24722
C5×#24672
C5×#24592
C5×#24562
C5×#24502
C5×#24442
C5×#24432
C5×#24372
C5×#24242
C5×#24182
C5×#24102
C5×#24032
C5×#23252
C5×#23212
C5×#23182
C4×C5×#1202
C2×C5×#3862
#349905