Finite Group Databasebeta

← C2×#10618303 #13006767

Subgroups — C2×#10618303 #13006767

Order 1280.

7354 conjugacy classes of subgroups.

The subgroup lattice has 2028 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#538C211yesmaximal, characteristic, complemented
2#10618303C2132yesmaximal, direct product factor
3C2×#66042C211yesmaximal, characteristic, complemented
4C2×#66039C211yesmaximal, characteristic, complemented
5C2×#66046C211yesmaximal, characteristic, complemented
6C2×#66043C211yesmaximal, characteristic, complemented
7C2×#66011C211yesmaximal, characteristic, complemented
8C2×#66012C211yesmaximal, characteristic, complemented
9C2×#66009C211yesmaximal, characteristic, complemented
10C2×#66004C211yesmaximal, characteristic, complemented
11C2×#66000C211yesmaximal, characteristic, complemented
12C2×#65984C211yesmaximal, characteristic, complemented
13C2×#65997C211yesmaximal, characteristic, complemented
14C2×#65983C211yesmaximal, characteristic, complemented
15C2×#65967C211yesmaximal, characteristic, complemented
16C2×#65980C211yesmaximal, characteristic, complemented
17C2×#65947C211yesmaximal, characteristic, complemented
18C2×#65942C211yesmaximal, characteristic, complemented
19C2×#65949C211yesmaximal, characteristic, complemented
20C2×#65953C211yesmaximal, characteristic, complemented
21C2×#65931C211yesmaximal, characteristic, complemented
22C2×#65930C211yesmaximal, characteristic, complemented
23C2×#65929C211yesmaximal, characteristic, complemented
24C2×#65925C211yesmaximal, characteristic, complemented
25C2×#65927C211yesmaximal, characteristic, complemented
26C2×#65926C211yesmaximal, characteristic, complemented
27C2×#65896C211yesmaximal, characteristic, complemented
28C2×#65897C211yesmaximal, characteristic, complemented
29C2×#65874C211yesmaximal, characteristic, complemented
30C2×#65872C211yesmaximal, characteristic, complemented
31C2×#65824C211yesmaximal, characteristic, complemented
32C2×#65829C211yesmaximal, characteristic, complemented
33C23×C22⋊D5C2211yescharacteristic
34C22×Q8×D5C2211yescharacteristic, complemented
35C22×#711C2211yescharacteristic
36C22×#711C2211yescharacteristic
37C22×#711C2211yescharacteristic, complemented
38C22×#709C2211yescharacteristic
39C5×#538C22116yescomplemented
40C2×C5×#126C2211yescharacteristic
41C2×C5×#126C2211yescharacteristic, complemented
42C2×C5×#124C2211yescharacteristic
43C2×C5×#124C2211yescharacteristic, complemented
44C2×C5×#123C2211yescharacteristic
45C2×C5×#123C2211yescharacteristic, complemented
46C2×C5×C22⋊Q8C2211yescharacteristic, complemented
47C2×C5×#121C2211yescharacteristic
48C2×C5×#121C2211yescharacteristic, complemented
49C2×C5×#121C2211yescharacteristic, complemented
50C2×C5×#120C2211yescharacteristic
51C2×C5×#120C2211yescharacteristic
52C2×C4×C5×D4C2211yescharacteristic, complemented
53C2×C4×C5×D4C2211yescharacteristic, complemented
54C22×C5×C22⋊C4C2211yescharacteristic
55C2×#4099C2211yescharacteristic
56C2×#4099C2211yescharacteristic
57C22×C22⋊Dic5C2211yescharacteristic
58C2×#4093C2211yescharacteristic, complemented
59C2×#4092C2211yescharacteristic, complemented
60C2×#4090C2211yescharacteristic, complemented
61C2×#4086C2211yescharacteristic
62C2×#4086C2211yescharacteristic
63C2×#4086C2211yescharacteristic
64C2×#4085C2211yescharacteristic
65C2×#4085C2211yescharacteristic
66C2×#4085C2211yescharacteristic
67C2×#4085C2211yescharacteristic
68C2×#4085C2211yescharacteristic
69C2×#4085C2211yescharacteristic, complemented
70C2×#4085C2211yescharacteristic, complemented
71C2×#4085C2211yescharacteristic, complemented
72C2×#4085C2211yescharacteristic, complemented
73C2×#4085C2211yescharacteristic, complemented
74C2×#4084C2211yescharacteristic
75C2×#4084C2211yescharacteristic, complemented
76C2×#4084C2211yescharacteristic, complemented
77C2×#4084C2211yescharacteristic, complemented
78C2×#4084C2211yescharacteristic, complemented
79C2×#4083C2211yescharacteristic
80C2×#4083C2211yescharacteristic
81C2×#4082C2211yescharacteristic
82C2×#4081C2211yescharacteristic
83C2×#4081C2211yescharacteristic, complemented
84C2×D4×Dic5C2211yescharacteristic
85C2×D4×Dic5C2211yescharacteristic, complemented
86C2×#4076C2211yescharacteristic
87C2×#4076C2211yescharacteristic, complemented
88C2×#4076C2211yescharacteristic, complemented
89C2×#4076C2211yescharacteristic, complemented
90C2×#4075C2211yescharacteristic
91C2×#4075C2211yescharacteristic, complemented
92C2×#4075C2211yescharacteristic, complemented
93C2×C4×C22⋊D5C2211yescharacteristic
94C2×C4×C22⋊D5C2211yescharacteristic, complemented
95C2×C4×C22⋊D5C2211yescharacteristic, complemented
96C2×#4072C2211yescharacteristic, complemented
97C2×#4072C2211yescharacteristic, complemented
98C2×#4070C2211yescharacteristic, complemented
99C22×#683C2211yescharacteristic, complemented
100C22×C4×Dic5C2211yescharacteristic, complemented
101#66046C22116yescomplemented
102#66043C22116yescomplemented
103#66042C22116yescomplemented
104#66039C22116yescomplemented
105#66012C22116yescomplemented
106#66011C22116yescomplemented
107#66009C22116yescomplemented
108#66004C22116yescomplemented
109#66000C22116yescomplemented
110#65997C22116yescomplemented
111#65984C22116yescomplemented
112#65983C22116yescomplemented
113#65980C22116yescomplemented
114#65967C22116yescomplemented
115#65953C22116yescomplemented
116#65949C22116yescomplemented
117#65947C22116yescomplemented
118#65942C22116yescomplemented
119#65931C22116yescomplemented
120#65930C22116yescomplemented
121#65929C22116yescomplemented
122#65927C22116yescomplemented
123#65926C22116yescomplemented
124#65925C22116yescomplemented
125#65897C22116yescomplemented
126#65896C22116yescomplemented
127#65874C22116yescomplemented
128#65872C22116yescomplemented
129C2×#4044C2211yescharacteristic, complemented
130C2×#4044C2211yescharacteristic, complemented
131C2×#4044C2211yescharacteristic, complemented
132C2×#4043C2211yescharacteristic, complemented
133C2×#4042C2211yescharacteristic, complemented
134C2×#4042C2211yescharacteristic, complemented
135C2×#4042C2211yescharacteristic, complemented
136C2×#4041C2211yescharacteristic, complemented
137C2×#4041C2211yescharacteristic, complemented
138C2×#4040C2211yescharacteristic, complemented
139C2×#4040C2211yescharacteristic, complemented
140C2×#4039C2211yescharacteristic, complemented
141C2×#4039C2211yescharacteristic, complemented
142C2×#4038C2211yescharacteristic, complemented
143C2×#4038C2211yescharacteristic, complemented
144C2×D5×C4⋊C4C2211yescharacteristic, complemented
145C2×#4036C2211yescharacteristic, complemented
146C2×#4036C2211yescharacteristic, complemented
147C2×#4035C2211yescharacteristic, complemented
148C2×#4035C2211yescharacteristic, complemented
149C2×#4035C2211yescharacteristic, complemented
150C2×#4035C2211yescharacteristic, complemented
151C2×#4034C2211yescharacteristic, complemented
152C2×#4033C2211yescharacteristic, complemented
153#65829C22116yescomplemented
154C2×#4032C2211yescharacteristic
155C2×#4032C2211yescharacteristic, complemented
156C2×#4032C2211yescharacteristic, complemented
157C2×#4031C2211yescharacteristic
158C2×#4031C2211yescharacteristic
159C2×#4031C2211yescharacteristic
160C2×#4031C2211yescharacteristic
161C2×#4031C2211yescharacteristic
162C2×#4031C2211yescharacteristic, complemented
163C2×#4031C2211yescharacteristic, complemented
164C2×#4031C2211yescharacteristic, complemented
165#65824C22116yescomplemented
166C2×#4030C2211yescharacteristic
167C2×#4030C2211yescharacteristic
168C2×#4030C2211yescharacteristic
169C2×#4030C2211yescharacteristic
170C2×#4030C2211yescharacteristic, complemented
171C2×#4030C2211yescharacteristic, complemented
172C2×#4030C2211yescharacteristic, complemented
173C2×#4030C2211yescharacteristic, complemented
174C2×#4030C2211yescharacteristic, complemented
175C2×#4030C2211yescharacteristic, complemented
176C2×#4029C2211yescharacteristic
177C2×#4029C2211yescharacteristic
178C2×#4029C2211yescharacteristic
179C2×#4029C2211yescharacteristic
180C2×#4029C2211yescharacteristic
181C2×#4029C2211yescharacteristic
182C2×#4029C2211yescharacteristic, complemented
183C2×#4029C2211yescharacteristic, complemented
184C2×#4028C2211yescharacteristic
185C2×#4028C2211yescharacteristic
186C2×#4027C2211yescharacteristic
187C2×#4027C2211yescharacteristic
188C2×#4027C2211yescharacteristic, complemented
189C2×#4027C2211yescharacteristic, complemented
190C2×#4027C2211yescharacteristic, complemented
191C2×#4027C2211yescharacteristic, complemented
192C2×#4027C2211yescharacteristic, complemented
193C2×D5×C22⋊C4C2211yescharacteristic
194C2×D5×C22⋊C4C2211yescharacteristic
195C2×#4025C2211yescharacteristic
196C2×#4025C2211yescharacteristic
197C2×#4025C2211yescharacteristic
198C2×#4025C2211yescharacteristic, complemented
199C2×#4025C2211yescharacteristic, complemented
200C2×#4025C2211yescharacteristic, complemented
201C2×#4024C2211yescharacteristic
202C2×#4024C2211yescharacteristic
203C2×#4024C2211yescharacteristic, complemented
204C2×#4024C2211yescharacteristic, complemented
205C2×#4024C2211yescharacteristic, complemented
206C2×#4024C2211yescharacteristic, complemented
207C2×#4024C2211yescharacteristic, complemented
208C2×#4023C2211yescharacteristic
209C2×#4023C2211yescharacteristic, complemented
210C2×#4023C2211yescharacteristic, complemented
211C2×#4022C2211yescharacteristic, complemented
212C2×C4×D20C2211yescharacteristic, complemented
213C2×C4×D20C2211yescharacteristic, complemented
214C2×#4018C2211yescharacteristic, complemented
215C2×#4018C2211yescharacteristic, complemented
216C2×#4018C2211yescharacteristic, complemented
217C2×#4015C2211yescharacteristic, complemented
218C2×C4×Dic10C2211yescharacteristic, complemented
219C2×#3551—51nomaximal, Sylow
220C25×C5C2311yescharacteristic
221C24×D5C2311yescharacteristic
222C22×C5×Q8C2311yescharacteristic
223C22×C5×D4C2311yescharacteristic
224C22×C5×D4C2311yescharacteristic
225C22×C5×D4C2311yescharacteristic
226C22×C5×D4C2311yescharacteristic
227C22×C5×D4C2311yescharacteristic
228C22×C5×D4C2311yescharacteristic
229C22×C5×D4C2311yescharacteristic
230C23×C4×C5C2311yescharacteristic
231C23×C4×C5C2311yescharacteristic
232C23×C4×C5C2311yescharacteristic
233C23×C4×C5C2311yescharacteristic
234C22×C22⋊D5—44no—
235C22×C22⋊D5C2311yescharacteristic
236C22×C22⋊D5C2311yescharacteristic
237C22×C22⋊D5C2311yescharacteristic
238C22×C22⋊D5C2311yescharacteristic
239C22×C22⋊D5C2311yescharacteristic
240C22×C22⋊D5C2311yescharacteristic
241C22×C22⋊D5C2311yescharacteristic
242C22×C22⋊D5C2311yescharacteristic
243C22×C22⋊D5C2311yescharacteristic
244C22×C22⋊D5C2311yescharacteristic
245C22×C22⋊D5C2311yescharacteristic
246C22×C22⋊D5C2311yescharacteristic
247C22×C22⋊D5C2311yescharacteristic
248C22×C22⋊D5C2311yescharacteristic
249C22×C22⋊D5C2311yescharacteristic
250C22×C22⋊D5C2311yescharacteristic
251C22×C22⋊D5C2311yescharacteristic
252C22×C22⋊D5C2311yescharacteristic
253C22×C22⋊D5C2318yes—
254C23×Dic5C2311yescharacteristic
255C23×Dic5C2311yescharacteristic
256C23×Dic5C2311yescharacteristic
257C23×Dic5C2311yescharacteristic
258C23×Dic5C2311yescharacteristic
259C23×Dic5C2311yescharacteristic
260C23×Dic5C2311yescharacteristic
261C2×Q8×D5—44no—
262C2×Q8×D5C2318yescomplemented
263C2×#711—44no—
264C2×#711—44no—
265C2×#711—44no—
266C2×#711C2318yes—
267C2×#711C2318yes—
268C2×#711C2318yescomplemented
269C2×#709—44no—
270C2×#709C2318yes—
271C22×D20C2311yescharacteristic
272C22×D20C2311yescharacteristic
273C22×D20C2311yescharacteristic
274C22×D20C2311yescharacteristic
275C22×D20C2311yescharacteristic
276C22×C4×D5C2311yescharacteristic
277C22×C4×D5C2311yescharacteristic
278C22×C4×D5C2311yescharacteristic
279C22×C4×D5C2311yescharacteristic
280C22×C4×D5C2311yescharacteristic
281C22×C4×D5C2311yescharacteristic
282C22×C4×D5C2311yescharacteristic
283C22×C4×D5C2311yescharacteristic
284C22×C4×D5C2311yescharacteristic
285C22×C4×D5C2311yescharacteristic
286C22×Dic10C2311yescharacteristic
287C22×Dic10C2311yescharacteristic
288C22×Dic10C2311yescharacteristic
289C22×Dic10C2311yescharacteristic
290C22×Dic10C2311yescharacteristic
291C5×#126C2318yes—
292C5×#126C2318yescomplemented
293C5×#124C2318yes—
294C5×#124C2318yescomplemented
295C5×#123C2318yes—
296C5×#123C2318yescomplemented
297C5×C22⋊Q8C2318yescomplemented
298C5×#121C2318yes—
299C5×#121C2318yescomplemented
300C5×#121C2318yescomplemented
301C5×#120C2318yes—
302C5×#120C2318yes—
303C4×C5×D4C2318yescomplemented
304C4×C5×D4C2318yescomplemented
305C2×C5×C4⋊C4C2311yescharacteristic
306C2×C5×C4⋊C4C2311yescharacteristic
307C2×C5×C4⋊C4C2311yescharacteristic
308C2×C5×C4⋊C4C2311yescharacteristic
309C2×C5×C4⋊C4C2311yescharacteristic
310C2×C5×C4⋊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⋊C4C2318yes—
326C2×C42×C5C2311yescharacteristic
327C2×C42×C5C2311yescharacteristic
328#4099C2318yes—
329#4099C2318yes—
330C2×C22⋊Dic5C2311yescharacteristic
331C2×C22⋊Dic5C2311yescharacteristic
332C2×C22⋊Dic5C2311yescharacteristic
333C2×C22⋊Dic5C2311yescharacteristic
334C2×C22⋊Dic5C2311yescharacteristic
335C2×C22⋊Dic5C2311yescharacteristic
336C2×C22⋊Dic5C2311yescharacteristic
337C2×C22⋊Dic5C2311yescharacteristic
338C2×C22⋊Dic5C2311yescharacteristic
339C2×C22⋊Dic5C2311yescharacteristic
340C2×C22⋊Dic5C2311yescharacteristic
341C2×C22⋊Dic5C2311yescharacteristic
342C2×C22⋊Dic5C2311yescharacteristic
343C2×C22⋊Dic5C2311yescharacteristic
344C2×C22⋊Dic5C2318yes—
345#4093C2318yescomplemented
346#4092C2318yescomplemented
347#4090C2318yescomplemented
348#4086C2318yes—
349#4086C2318yes—
350#4086C2318yes—
351#4085C2318yes—
352#4085C2318yes—
353#4085C2318yes—
354#4085C2318yes—
355#4085C2318yes—
356#4085C2318yescomplemented
357#4085C2318yescomplemented
358#4085C2318yescomplemented
359#4085C2318yescomplemented
360#4085C2318yescomplemented
361#4084C2318yes—
362#4084C2318yescomplemented
363#4084C2318yescomplemented
364#4084C2318yescomplemented
365#4084C2318yescomplemented
366#4083C2318yes—
367#4083C2318yes—
368#4082C2318yes—
369#4081C2318yes—
370#4081C2318yescomplemented
371D4×Dic5C2318yes—
372D4×Dic5C2318yescomplemented
373#4076C2318yes—
374#4076C2318yescomplemented
375#4076C2318yescomplemented
376#4076C2318yescomplemented
377#4075C2318yes—
378#4075C2318yescomplemented
379#4075C2318yescomplemented
380C4×C22⋊D5C2318yes—
381C4×C22⋊D5C2318yescomplemented
382C4×C22⋊D5C2318yescomplemented
383C2×#685C2311yescharacteristic
384C2×#685C2311yescharacteristic
385C2×#685C2311yescharacteristic
386C2×#685C2311yescharacteristic
387C2×#685C2311yescharacteristic
388C2×#685C2311yescharacteristic
389C2×#685C2311yescharacteristic
390C2×#685C2311yescharacteristic
391C2×#685C2311yescharacteristic
392C2×#685C2311yescharacteristic
393C2×#685C2311yescharacteristic
394C2×#685C2311yescharacteristic
395C2×#685C2311yescharacteristic
396C2×#685C2311yescharacteristic
397C2×#685C2311yescharacteristic
398C2×#685C2311yescharacteristic
399C2×#685C2311yescharacteristic
400C2×#685C2311yescharacteristic
401C2×#685C2311yescharacteristic
402C2×#685C2311yescharacteristic
403#4072C2318yescomplemented
404#4072C2318yescomplemented
405C2×C4⋊Dic5C2311yescharacteristic
406C2×C4⋊Dic5C2311yescharacteristic
407C2×C4⋊Dic5C2311yescharacteristic
408C2×C4⋊Dic5C2311yescharacteristic
409C2×C4⋊Dic5C2311yescharacteristic
410C2×C4⋊Dic5C2311yescharacteristic
411C2×C4⋊Dic5C2311yescharacteristic
412C2×C4⋊Dic5C2311yescharacteristic
413C2×C4⋊Dic5C2311yescharacteristic
414C2×C4⋊Dic5C2311yescharacteristic
415#4070C2318yescomplemented
416C2×#683C2311yescharacteristic
417C2×#683C2311yescharacteristic
418C2×#683C2311yescharacteristic
419C2×#683C2311yescharacteristic
420C2×#683C2311yescharacteristic
421C2×#683C2311yescharacteristic
422C2×#683C2311yescharacteristic
423C2×#683C2311yescharacteristic
424C2×#683C2311yescharacteristic
425C2×#683C2311yescharacteristic
426C2×#683C2311yescharacteristic
427C2×#683C2311yescharacteristic
428C2×#683C2311yescharacteristic
429C2×#683C2311yescharacteristic
430C2×#683C2311yescharacteristic
431C2×#683C2311yescharacteristic
432C2×#683C2311yescharacteristic
433C2×#683C2311yescharacteristic
434C2×#683C2311yescharacteristic
435C2×#683C2311yescharacteristic
436C2×#683C2318yescomplemented
437C2×C4×Dic5C2311yescharacteristic
438C2×C4×Dic5C2311yescharacteristic
439C2×C4×Dic5C2311yescharacteristic
440C2×C4×Dic5C2311yescharacteristic
441C2×C4×Dic5C2311yescharacteristic
442C2×C4×Dic5C2311yescharacteristic
443C2×C4×Dic5C2311yescharacteristic
444C2×C4×Dic5C2311yescharacteristic
445C2×C4×Dic5C2311yescharacteristic
446C2×C4×Dic5C2311yescharacteristic
447C2×C4×Dic5C2318yescomplemented
448#4044C2318yescomplemented
449#4044C2318yescomplemented
450#4044C2318yescomplemented
451#4043C2318yescomplemented
452#4042C2318yescomplemented
453#4042C2318yescomplemented
454#4042C2318yescomplemented
455#4041C2318yescomplemented
456#4041C2318yescomplemented
457#4040C2318yescomplemented
458#4040C2318yescomplemented
459#4039C2318yescomplemented
460#4039C2318yescomplemented
461#4038C2318yescomplemented
462#4038C2318yescomplemented
463D5×C4⋊C4C2318yescomplemented
464#4036C2318yescomplemented
465#4036C2318yescomplemented
466#4035C2318yescomplemented
467#4035C2318yescomplemented
468#4035C2318yescomplemented
469#4035C2318yescomplemented
470#4034C2318yescomplemented
471#4033C2318yescomplemented
472#4032C2318yes—
473#4032C2318yescomplemented
474#4032C2318yescomplemented
475#4031C2318yes—
476#4031C2318yes—
477#4031C2318yes—
478#4031C2318yes—
479#4031C2318yes—
480#4031C2318yescomplemented
481#4031C2318yescomplemented
482#4031C2318yescomplemented
483#4030C2318yes—
484#4030C2318yes—
485#4030C2318yes—
486#4030C2318yes—
487#4030C2318yescomplemented
488#4030C2318yescomplemented
489#4030C2318yescomplemented
490#4030C2318yescomplemented
491#4030C2318yescomplemented
492#4030C2318yescomplemented
493#4029C2318yes—
494#4029C2318yes—
495#4029C2318yes—
496#4029C2318yes—
497#4029C2318yes—
498#4029C2318yes—
499#4029C2318yescomplemented
500#4029C2318yescomplemented
501#4028C2318yes—
502#4028C2318yes—
503#4027C2318yes—
504#4027C2318yes—
505#4027C2318yescomplemented
506#4027C2318yescomplemented
507#4027C2318yescomplemented
508#4027C2318yescomplemented
509#4027C2318yescomplemented
510D5×C22⋊C4C2318yes—
511D5×C22⋊C4C2318yes—
512#4025C2318yes—
513#4025C2318yes—
514#4025C2318yes—
515#4025C2318yescomplemented
516#4025C2318yescomplemented
517#4025C2318yescomplemented
518#4024C2318yes—
519#4024C2318yes—
520#4024C2318yescomplemented
521#4024C2318yescomplemented
522#4024C2318yescomplemented
523#4024C2318yescomplemented
524#4024C2318yescomplemented
525#4023C2318yes—
526#4023C2318yescomplemented
527#4023C2318yescomplemented
528#4022C2318yescomplemented
529C4×D20C2318yescomplemented
530C4×D20C2318yescomplemented
531#4018C2318yescomplemented
532#4018C2318yescomplemented
533#4018C2318yescomplemented
534#4015C2318yescomplemented
535C4×Dic10C2318yescomplemented
536#3551—532no—
537C2×#563—51no—
538C2×#563—51no—
539C2×#560—51no—
540C2×#560—51no—
541C2×#555—51no—
542C2×#555—51no—
543C2×#553—51no—
544C2×#553—51no—
545C2×#552—51no—
546C2×#552—51no—
547C2×#551—51no—
548C2×#551—51no—
549C2×#548—51no—
550C2×#548—51no—
551C2×#546—51no—
552C2×#546—51no—
553C2×#540—51no—
554C2×#540—51no—
555C2×#540—51no—
556C2×#540—51no—
557C2×#538—51no—
558C2×#538—51no—
559C2×#538—51no—
560C2×#538D511yescharacteristic, complemented
561C2×#537—51no—
562C2×#537—51no—
563C2×#536—51no—
564C2×#535—51no—
565C2×#532—51no—
566C2×#529—51no—
567C2×#529—51no—
568C24×C5—42no—
569C24×C5—42no—
570C24×C5—42no—
571C24×C5C2411yescharacteristic
572C24×C5C2411yescharacteristic
573C24×C5C2411yescharacteristic
574C24×C5C2411yescharacteristic
575C24×C5C2411yescharacteristic
576C24×C5C2414yes—
577C23×D5—42no—
578C23×D5—42no—
579C23×D5—42no—
580C23×D5C2411yescharacteristic
581C23×D5C2411yescharacteristic
582C23×D5C2411yescharacteristic
583C23×D5C2411yescharacteristic
584C23×D5C2414yes—
585C2×C5×Q8—42no—
586C2×C5×Q8C2414yes—
587C2×C5×D4—42no—
588C2×C5×D4—42no—
589C2×C5×D4—42no—
590C2×C5×D4—42no—
591C2×C5×D4—42no—
592C2×C5×D4—42no—
593C2×C5×D4—42no—
594C2×C5×D4C2414yes—
595C2×C5×D4C2414yes—
596C2×C5×D4C2414yes—
597C2×C5×D4C2414yes—
598C2×C5×D4C2414yes—
599C2×C5×D4C2414yes—
600C2×C5×D4C2414yes—
601C22×C4×C5—42no—
602C22×C4×C5—42no—
603C22×C4×C5—42no—
604C22×C4×C5—42no—
605C22×C4×C5C2411yescharacteristic
606C22×C4×C5C2411yescharacteristic
607C22×C4×C5C2411yescharacteristic
608C22×C4×C5C2411yescharacteristic
609C22×C4×C5C2411yescharacteristic
610C22×C4×C5C2411yescharacteristic
611C22×C4×C5C2411yescharacteristic
612C22×C4×C5C2411yescharacteristic
613C22×C4×C5C2411yescharacteristic
614C22×C4×C5C2411yescharacteristic
615C22×C4×C5C2414yes—
616C22×C4×C5C2414yes—
617C22×C4×C5C2414yes—
618C22×C4×C5C2414yes—
619C2×C22⋊D5—24no—
620C2×C22⋊D5—24no—
621C2×C22⋊D5—416no—
622C2×C22⋊D5—42no—
623C2×C22⋊D5—42no—
624C2×C22⋊D5—42no—
625C2×C22⋊D5—42no—
626C2×C22⋊D5—42no—
627C2×C22⋊D5—42no—
628C2×C22⋊D5—42no—
629C2×C22⋊D5—42no—
630C2×C22⋊D5—42no—
631C2×C22⋊D5—42no—
632C2×C22⋊D5—42no—
633C2×C22⋊D5—42no—
634C2×C22⋊D5—42no—
635C2×C22⋊D5—42no—
636C2×C22⋊D5—42no—
637C2×C22⋊D5—42no—
638C2×C22⋊D5C2414yes—
639C2×C22⋊D5C2414yes—
640C2×C22⋊D5C2414yes—
641C2×C22⋊D5C2414yes—
642C2×C22⋊D5C2414yes—
643C2×C22⋊D5C2414yes—
644C2×C22⋊D5C2414yes—
645C2×C22⋊D5C2414yes—
646C2×C22⋊D5C2414yes—
647C2×C22⋊D5C2414yes—
648C2×C22⋊D5C2414yes—
649C2×C22⋊D5C2414yes—
650C2×C22⋊D5C2414yes—
651C2×C22⋊D5C2414yes—
652C2×C22⋊D5C2414yes—
653C2×C22⋊D5C2414yes—
654C2×C22⋊D5C2414yes—
655C2×C22⋊D5C2414yes—
656C22×Dic5—24no—
657C22×Dic5—24no—
658C22×Dic5—24no—
659C22×Dic5—42no—
660C22×Dic5—42no—
661C22×Dic5—42no—
662C22×Dic5—42no—
663C22×Dic5C2411yescharacteristic
664C22×Dic5C2411yescharacteristic
665C22×Dic5C2411yescharacteristic
666C22×Dic5C2411yescharacteristic
667C22×Dic5C2411yescharacteristic
668C22×Dic5C2411yescharacteristic
669C22×Dic5C2411yescharacteristic
670C22×Dic5C2411yescharacteristic
671C22×Dic5C2411yescharacteristic
672C22×Dic5C2411yescharacteristic
673C22×Dic5C2411yescharacteristic
674C22×Dic5C2414yes—
675C22×Dic5C2414yes—
676C22×Dic5C2414yes—
677C22×Dic5C2414yes—
678C22×Dic5C2414yes—
679C22×Dic5C2414yes—
680C22×Dic5C2414yes—
681C22×Dic5C2411yescharacteristic
682Q8×D5—416no—
683#711—416no—
684#711—416no—
685#711—416no—
686#709—416no—
687C2×D20—42no—
688C2×D20—42no—
689C2×D20—42no—
690C2×D20—42no—
691C2×D20—42no—
692C2×D20C2414yes—
693C2×D20C2414yes—
694C2×D20C2414yes—
695C2×D20C2414yes—
696C2×D20C2414yes—
697C2×C4×D5—24no—
698C2×C4×D5—24no—
699C2×C4×D5—42no—
700C2×C4×D5—42no—
701C2×C4×D5—42no—
702C2×C4×D5—42no—
703C2×C4×D5—42no—
704C2×C4×D5—42no—
705C2×C4×D5—42no—
706C2×C4×D5—42no—
707C2×C4×D5C2414yes—
708C2×C4×D5C2414yes—
709C2×C4×D5C2414yes—
710C2×C4×D5C2414yes—
711C2×C4×D5C2414yes—
712C2×C4×D5C2414yes—
713C2×C4×D5C2414yes—
714C2×C4×D5C2414yes—
715C2×C4×D5C2414yes—
716C2×C4×D5C2414yes—
717C2×Dic10—24no—
718C2×Dic10—24no—
719C2×Dic10—42no—
720C2×Dic10—42no—
721C2×Dic10—42no—
722C2×Dic10C2414yes—
723C2×Dic10C2414yes—
724C2×Dic10C2414yes—
725C2×Dic10C2414yes—
726C2×Dic10C2414yes—
727C5×C4⋊C4C2414yes—
728C5×C4⋊C4C2414yes—
729C5×C4⋊C4C2414yes—
730C5×C4⋊C4C2414yes—
731C5×C4⋊C4C2414yes—
732C5×C4⋊C4C2414yes—
733C5×C22⋊C4C2414yes—
734C5×C22⋊C4C2414yes—
735C5×C22⋊C4C2414yes—
736C5×C22⋊C4C2414yes—
737C5×C22⋊C4C2414yes—
738C5×C22⋊C4C2414yes—
739C5×C22⋊C4C2414yes—
740C5×C22⋊C4C2414yes—
741C5×C22⋊C4C2414yes—
742C5×C22⋊C4C2414yes—
743C5×C22⋊C4C2414yes—
744C5×C22⋊C4C2414yes—
745C5×C22⋊C4C2414yes—
746C5×C22⋊C4C2414yes—
747C42×C5C2414yes—
748C42×C5C2414yes—
749C22⋊Dic5C2414yes—
750C22⋊Dic5C2414yes—
751C22⋊Dic5C2414yes—
752C22⋊Dic5C2414yes—
753C22⋊Dic5C2414yes—
754C22⋊Dic5C2414yes—
755C22⋊Dic5C2414yes—
756C22⋊Dic5C2414yes—
757C22⋊Dic5C2414yes—
758C22⋊Dic5C2414yes—
759C22⋊Dic5C2414yes—
760C22⋊Dic5C2414yes—
761C22⋊Dic5C2414yes—
762C22⋊Dic5C2414yes—
763#685C2414yes—
764#685C2414yes—
765#685C2414yes—
766#685C2414yes—
767#685C2414yes—
768#685C2414yes—
769#685C2414yes—
770#685C2414yes—
771#685C2414yes—
772#685C2414yes—
773#685C2414yes—
774#685C2414yes—
775#685C2414yes—
776#685C2414yes—
777#685C2414yes—
778#685C2414yes—
779#685C2414yes—
780#685C2414yes—
781#685C2414yes—
782#685C2414yes—
783C4⋊Dic5C2414yes—
784C4⋊Dic5C2414yes—
785C4⋊Dic5C2414yes—
786C4⋊Dic5C2414yes—
787C4⋊Dic5C2414yes—
788C4⋊Dic5C2414yes—
789C4⋊Dic5C2414yes—
790C4⋊Dic5C2414yes—
791C4⋊Dic5C2414yes—
792C4⋊Dic5C2414yes—
793#683C2414yes—
794#683C2414yes—
795#683C2414yes—
796#683C2414yes—
797#683C2414yes—
798#683C2414yes—
799#683C2414yes—
800#683C2414yes—
801#683C2414yes—
802#683C2414yes—
803#683C2414yes—
804#683C2414yes—
805#683C2414yes—
806#683C2414yes—
807#683C2414yes—
808#683C2414yes—
809#683C2414yes—
810#683C2414yes—
811#683C2414yes—
812#683C2414yes—
813C4×Dic5C2414yes—
814C4×Dic5C2414yes—
815C4×Dic5C2414yes—
816C4×Dic5C2414yes—
817C4×Dic5C2414yes—
818C4×Dic5C2414yes—
819C4×Dic5C2414yes—
820C4×Dic5C2414yes—
821C4×Dic5C2414yes—
822C4×Dic5C2414yes—
823C22×#41—51no—
824C22×#41—51no—
825C22×#41—51no—
826C22×#41—51no—
827C23×Q8—51no—
828C23×D4—51no—
829#563—516no—
830#563—516no—
831#560—516no—
832#560—516no—
833#555—516no—
834#555—516no—
835#553—516no—
836#553—516no—
837#552—516no—
838#552—516no—
839#551—516no—
840#551—516no—
841#548—516no—
842#548—516no—
843#546—516no—
844#546—516no—
845#540—516no—
846#540—516no—
847#540—516no—
848#540—516no—
849#538—516no—
850#538—516no—
851#538—516no—
852#538C2×D5116yescomplemented
853#537—516no—
854#537—516no—
855#536—516no—
856#535—516no—
857#532—516no—
858C2×C4⋊Q8—51no—
859C2×C4⋊Q8—51no—
860C2×C4⋊Q8—51no—
861C2×#127—51no—
862C2×#127—51no—
863C2×#127—51no—
864#529—516no—
865#529—516no—
866C2×#126—51no—
867C2×#126—51no—
868C2×#126—51no—
869C2×#126—51no—
870C2×#126—51no—
871C2×#126—51no—
872C2×#126—51no—
873C2×#126—51no—
874C2×#126—51no—
875C2×#126—51no—
876C2×#126C2×D511yescharacteristic
877C2×#126C2×D511yescharacteristic, complemented
878C2×#125—51no—
879C2×#125—51no—
880C2×#125—51no—
881C2×#125—51no—
882C2×#125—51no—
883C2×#125—51no—
884C2×#124—51no—
885C2×#124—51no—
886C2×#124—51no—
887C2×#124—51no—
888C2×#124—51no—
889C2×#124—51no—
890C2×#124—51no—
891C2×#124—51no—
892C2×#124—51no—
893C2×#124—51no—
894C2×#124C2×D511yescharacteristic
895C2×#124C2×D511yescharacteristic, complemented
896C2×#123—51no—
897C2×#123—51no—
898C2×#123—51no—
899C2×#123—51no—
900C2×#123—51no—
901C2×#123—51no—
902C2×#123—51no—
903C2×#123—51no—
904C2×#123—51no—
905C2×#123—51no—
906C2×#123—51no—
907C2×#123—51no—
908C2×#123—51no—
909C2×#123—51no—
910C2×#123—51no—
911C2×#123—51no—
912C2×#123—51no—
913C2×#123—51no—
914C2×#123C2×D511yescharacteristic
915C2×#123C2×D511yescharacteristic, complemented
916C2×C22⋊Q8—51no—
917C2×C22⋊Q8—51no—
918C2×C22⋊Q8—51no—
919C2×C22⋊Q8—51no—
920C2×C22⋊Q8—51no—
921C2×C22⋊Q8—51no—
922C2×C22⋊Q8—51no—
923C2×C22⋊Q8—51no—
924C2×C22⋊Q8—51no—
925C2×C22⋊Q8—51no—
926C2×C22⋊Q8—51no—
927C2×C22⋊Q8—51no—
928C2×C22⋊Q8—51no—
929C2×C22⋊Q8C2×D511yescharacteristic, complemented
930C2×#121—51no—
931C2×#121—51no—
932C2×#121—51no—
933C2×#121—51no—
934C2×#121—51no—
935C2×#121—51no—
936C2×#121—51no—
937C2×#121—51no—
938C2×#121—51no—
939C2×#121—51no—
940C2×#121—51no—
941C2×#121—51no—
942C2×#121—51no—
943C2×#121—51no—
944C2×#121—51no—
945C2×#121—51no—
946C2×#121—51no—
947C2×#121—51no—
948C2×#121—51no—
949C2×#121—51no—
950C2×#121—51no—
951C2×#121—51no—
952C2×#121—51no—
953C2×#121—51no—
954C2×#121—51no—
955C2×#121—51no—
956C2×#121—51no—
957C2×#121—51no—
958C2×#121—51no—
959C2×#121—51no—
960C2×#121—51no—
961C2×#121C2×D511yescharacteristic
962C2×#121C2×D511yescharacteristic, complemented
963C2×#121C2×D511yescharacteristic, complemented
964C2×#120—51no—
965C2×#120—51no—
966C2×#120—51no—
967C2×#120—51no—
968C2×#120—51no—
969C2×#120—51no—
970C2×#120C2×D511yescharacteristic
971C2×#120C2×D511yescharacteristic
972C2×C4×Q8—51no—
973C2×C4×Q8—51no—
974C2×C4×D4—51no—
975C2×C4×D4—51no—
976C2×C4×D4—51no—
977C2×C4×D4—51no—
978C2×C4×D4—51no—
979C2×C4×D4—51no—
980C2×C4×D4—51no—
981C2×C4×D4—51no—
982C2×C4×D4—51no—
983C2×C4×D4—51no—
984C2×C4×D4—51no—
985C2×C4×D4—51no—
986C2×C4×D4—51no—
987C2×C4×D4—51no—
988C2×C4×D4—51no—
989C2×C4×D4—51no—
990C2×C4×D4C2×D511yescharacteristic, complemented
991C2×C4×D4C2×D511yescharacteristic, complemented
992C2×#117—51no—
993C2×#117—51no—
994C2×#117—51no—
995C2×#117—51no—
996C2×#117—51no—
997C2×#117—51no—
998C2×#117—51no—
999C2×#117—51no—
1000C2×#117—51no—
1001C2×#117—51no—
1002C22×C4⋊C4—51no—
1003C22×C4⋊C4—51no—
1004C22×C22⋊C4—51no—
1005C22×C22⋊C4—51no—
1006C22×C22⋊C4—51no—
1007C22×C22⋊C4C2×D511yescharacteristic
1008C22×C42—51no—
1009C23×C5—22no—
1010C23×C5—22no—
1011C23×C5—22no—
1012C23×C5—22no—
1013C23×C5—22no—
1014C23×C5—22no—
1015C23×C5—22no—
1016C23×C5—22no—
1017C23×C5—22no—
1018C23×C5—22no—
1019C23×C5—22no—
1020C23×C5—22no—
1021C23×C5—22no—
1022C23×C5—22no—
1023C23×C5—22no—
1024C23×C5—44no—
1025C23×C5—44no—
1026C23×C5—44no—
1027C23×C5—88no—
1028C23×C5C2512yes—
1029C23×C5C2512yes—
1030C23×C5C2512yes—
1031C23×C5C2512yes—
1032C23×C5C2512yes—
1033C23×C5C2511yescharacteristic
1034C22×D5—22no—
1035C22×D5—22no—
1036C22×D5—22no—
1037C22×D5—22no—
1038C22×D5—22no—
1039C22×D5—22no—
1040C22×D5—22no—
1041C22×D5—22no—
1042C22×D5—22no—
1043C22×D5—22no—
1044C22×D5—22no—
1045C22×D5—22no—
1046C22×D5—44no—
1047C22×D5—44no—
1048C22×D5—44no—
1049C22×D5—88no—
1050C22×D5C2512yes—
1051C22×D5C2512yes—
1052C22×D5C2512yes—
1053C22×D5C2512yes—
1054C5×Q8—44no—
1055C5×D4—44no—
1056C5×D4—44no—
1057C5×D4—44no—
1058C5×D4—44no—
1059C5×D4—44no—
1060C5×D4—44no—
1061C5×D4—44no—
1062C2×C4×C5—22no—
1063C2×C4×C5—22no—
1064C2×C4×C5—22no—
1065C2×C4×C5—22no—
1066C2×C4×C5—22no—
1067C2×C4×C5—22no—
1068C2×C4×C5—22no—
1069C2×C4×C5—22no—
1070C2×C4×C5—22no—
1071C2×C4×C5—22no—
1072C2×C4×C5—44no—
1073C2×C4×C5—44no—
1074C2×C4×C5—44no—
1075C2×C4×C5—44no—
1076C2×C4×C5C2512yes—
1077C2×C4×C5C2512yes—
1078C2×C4×C5C2512yes—
1079C2×C4×C5C2512yes—
1080C2×C4×C5C2512yes—
1081C2×C4×C5C2512yes—
1082C2×C4×C5C2512yes—
1083C2×C4×C5C2512yes—
1084C2×C4×C5C2512yes—
1085C2×C4×C5C2512yes—
1086C22⋊D5—28no—
1087C22⋊D5—28no—
1088C22⋊D5—44no—
1089C22⋊D5—44no—
1090C22⋊D5—44no—
1091C22⋊D5—44no—
1092C22⋊D5—44no—
1093C22⋊D5—44no—
1094C22⋊D5—44no—
1095C22⋊D5—44no—
1096C22⋊D5—44no—
1097C22⋊D5—44no—
1098C22⋊D5—44no—
1099C22⋊D5—44no—
1100C22⋊D5—44no—
1101C22⋊D5—44no—
1102C22⋊D5—44no—
1103C22⋊D5—44no—
1104C2×Dic5—22no—
1105C2×Dic5—22no—
1106C2×Dic5—22no—
1107C2×Dic5—22no—
1108C2×Dic5—22no—
1109C2×Dic5—22no—
1110C2×Dic5—22no—
1111C2×Dic5—22no—
1112C2×Dic5—22no—
1113C2×Dic5—22no—
1114C2×Dic5—22no—
1115C2×Dic5—28no—
1116C2×Dic5—28no—
1117C2×Dic5—28no—
1118C2×Dic5—44no—
1119C2×Dic5—44no—
1120C2×Dic5—44no—
1121C2×Dic5—44no—
1122C2×Dic5H(5,𝔽2)14yes—
1123C2×Dic5C2512yes—
1124C2×Dic5C2512yes—
1125C2×Dic5C2512yes—
1126C2×Dic5C2512yes—
1127C2×Dic5C2512yes—
1128C2×Dic5C2512yes—
1129C2×Dic5C2512yes—
1130C2×Dic5C2512yes—
1131C2×Dic5C2512yes—
1132C2×Dic5C2512yes—
1133C2×Dic5C2512yes—
1134C2×Dic5C2512yes—
1135D20—44no—
1136D20—44no—
1137D20—44no—
1138D20—44no—
1139D20—44no—
1140C4×D5—28no—
1141C4×D5—28no—
1142C4×D5—44no—
1143C4×D5—44no—
1144C4×D5—44no—
1145C4×D5—44no—
1146C4×D5—44no—
1147C4×D5—44no—
1148C4×D5—44no—
1149C4×D5—44no—
1150Dic10—28no—
1151Dic10—28no—
1152Dic10—44no—
1153Dic10—44no—
1154Dic10—44no—
1155C25—51no—
1156C25C22×D511yescharacteristic
1157C2×#41—58no—
1158C2×#41—58no—
1159C2×#41—58no—
1160C2×#41—58no—
1161C2×#41—204no—
1162C2×#41—204no—
1163C2×#41—204no—
1164C2×#41—204no—
1165C22×Q8—58no—
1166C22×Q8—51no—
1167C22×Q8—51no—
1168C22×Q8—51no—
1169C22×Q8—51no—
1170C22×Q8—51no—
1171C22×Q8—204no—
1172C22×Q8C22×D511yescharacteristic
1173C22×D4—51no—
1174C22×D4—51no—
1175C22×D4—51no—
1176C22×D4—51no—
1177C22×D4—51no—
1178C22×D4—51no—
1179C22×D4—51no—
1180C22×D4—51no—
1181C22×D4—51no—
1182C22×D4—51no—
1183C22×D4—51no—
1184C22×D4—51no—
1185C22×D4—51no—
1186C22×D4—51no—
1187C22×D4—51no—
1188C22×D4—51no—
1189C22×D4—51no—
1190C22×D4—51no—
1191C22×D4—58no—
1192C22×D4—51no—
1193C22×D4—51no—
1194C22×D4—51no—
1195C22×D4—51no—
1196C22×D4—51no—
1197C22×D4—204no—
1198C22×D4C22×D511yescharacteristic
1199C22×D4C22×D511yescharacteristic
1200C22×D4C22×D511yescharacteristic
1201C22×D4C22×D511yescharacteristic
1202C22×D4C22×D511yescharacteristic
1203C22×D4C22×D511yescharacteristic
1204C22×D4C22×D511yescharacteristic
1205C23×C4—51no—
1206C23×C4—51no—
1207C23×C4—51no—
1208C23×C4—51no—
1209C23×C4—51no—
1210C23×C4—51no—
1211C23×C4—51no—
1212C23×C4—51no—
1213C23×C4—51no—
1214C23×C4—51no—
1215C23×C4—51no—
1216C23×C4—51no—
1217C23×C4—51no—
1218C23×C4—51no—
1219C23×C4—51no—
1220C23×C4—51no—
1221C23×C4—51no—
1222C23×C4C22×D511yescharacteristic
1223C23×C4C22×D511yescharacteristic
1224C23×C4C22×D511yescharacteristic
1225C23×C4C22×D511yescharacteristic
1226C4⋊Q8—58no—
1227C4⋊Q8—58no—
1228C4⋊Q8—58no—
1229#127—58no—
1230#127—58no—
1231#127—58no—
1232#126—58no—
1233#126—58no—
1234#126—58no—
1235#126—58no—
1236#126—58no—
1237#126—58no—
1238#126—58no—
1239#126—58no—
1240#126—58no—
1241#126—58no—
1242#126C22×D518yes—
1243#126C22×D518yescomplemented
1244#125—58no—
1245#125—58no—
1246#125—58no—
1247#125—58no—
1248#125—58no—
1249#125—58no—
1250#124—58no—
1251#124—58no—
1252#124—58no—
1253#124—58no—
1254#124—58no—
1255#124—58no—
1256#124—58no—
1257#124—58no—
1258#124—58no—
1259#124—58no—
1260#124C22×D518yes—
1261#124C22×D518yescomplemented
1262#123—58no—
1263#123—58no—
1264#123—58no—
1265#123—58no—
1266#123—58no—
1267#123—58no—
1268#123—58no—
1269#123—58no—
1270#123—58no—
1271#123—58no—
1272#123—58no—
1273#123—58no—
1274#123—58no—
1275#123—58no—
1276#123—58no—
1277#123—58no—
1278#123—58no—
1279#123—58no—
1280#123C22×D518yes—
1281#123C22×D518yescomplemented
1282C22⋊Q8—58no—
1283C22⋊Q8—58no—
1284C22⋊Q8—58no—
1285C22⋊Q8—58no—
1286C22⋊Q8—58no—
1287C22⋊Q8—58no—
1288C22⋊Q8—58no—
1289C22⋊Q8—58no—
1290C22⋊Q8—58no—
1291C22⋊Q8—58no—
1292C22⋊Q8—58no—
1293C22⋊Q8—58no—
1294C22⋊Q8—58no—
1295C22⋊Q8C22×D518yescomplemented
1296#121—58no—
1297#121—58no—
1298#121—58no—
1299#121—58no—
1300#121—58no—
1301#121—58no—
1302#121—58no—
1303#121—58no—
1304#121—58no—
1305#121—58no—
1306#121—58no—
1307#121—58no—
1308#121—58no—
1309#121—58no—
1310#121—58no—
1311#121—58no—
1312#121—58no—
1313#121—58no—
1314#121—58no—
1315#121—58no—
1316#121—58no—
1317#121—58no—
1318#121—58no—
1319#121—58no—
1320#121—58no—
1321#121—58no—
1322#121—58no—
1323#121—58no—
1324#121—58no—
1325#121—58no—
1326#121—58no—
1327#121C22×D518yes—
1328#121C22×D518yescomplemented
1329#121C22×D518yescomplemented
1330#120—58no—
1331#120—58no—
1332#120—58no—
1333#120—58no—
1334#120—58no—
1335#120—58no—
1336#120C22×D518yes—
1337#120C22×D518yes—
1338C4×Q8—58no—
1339C4×Q8—58no—
1340C4×D4—58no—
1341C4×D4—58no—
1342C4×D4—58no—
1343C4×D4—58no—
1344C4×D4—58no—
1345C4×D4—58no—
1346C4×D4—58no—
1347C4×D4—58no—
1348C4×D4—58no—
1349C4×D4—58no—
1350C4×D4—58no—
1351C4×D4—58no—
1352C4×D4—58no—
1353C4×D4—58no—
1354C4×D4—58no—
1355C4×D4—58no—
1356C4×D4C22×D518yescomplemented
1357C4×D4C22×D518yescomplemented
1358#117—58no—
1359#117—58no—
1360#117—58no—
1361#117—58no—
1362#117—58no—
1363#117—58no—
1364#117—58no—
1365#117—58no—
1366#117—58no—
1367#117—58no—
1368C2×C4⋊C4—51no—
1369C2×C4⋊C4—51no—
1370C2×C4⋊C4—51no—
1371C2×C4⋊C4—51no—
1372C2×C4⋊C4—51no—
1373C2×C4⋊C4—51no—
1374C2×C4⋊C4—51no—
1375C2×C4⋊C4—58no—
1376C2×C4⋊C4—51no—
1377C2×C4⋊C4—51no—
1378C2×C4⋊C4—51no—
1379C2×C4⋊C4—51no—
1380C2×C4⋊C4—51no—
1381C2×C4⋊C4—51no—
1382C2×C4⋊C4—51no—
1383C2×C4⋊C4—51no—
1384C2×C4⋊C4—51no—
1385C2×C4⋊C4—51no—
1386C2×C4⋊C4—51no—
1387C2×C4⋊C4—51no—
1388C2×C4⋊C4—51no—
1389C2×C4⋊C4—51no—
1390C2×C4⋊C4—51no—
1391C2×C4⋊C4—51no—
1392C2×C4⋊C4—51no—
1393C2×C4⋊C4—51no—
1394C2×C4⋊C4—51no—
1395C2×C4⋊C4—51no—
1396C2×C4⋊C4—51no—
1397C2×C4⋊C4—51no—
1398C2×C4⋊C4—51no—
1399C2×C4⋊C4—58no—
1400C2×C4⋊C4C22×D511yescharacteristic
1401C2×C4⋊C4C22×D511yescharacteristic
1402C2×C4⋊C4C22×D511yescharacteristic
1403C2×C4⋊C4C22×D511yescharacteristic
1404C2×C4⋊C4C22×D511yescharacteristic
1405C2×C4⋊C4C22×D511yescharacteristic
1406C2×C22⋊C4—51no—
1407C2×C22⋊C4—51no—
1408C2×C22⋊C4—51no—
1409C2×C22⋊C4—51no—
1410C2×C22⋊C4—51no—
1411C2×C22⋊C4—58no—
1412C2×C22⋊C4—51no—
1413C2×C22⋊C4—51no—
1414C2×C22⋊C4—51no—
1415C2×C22⋊C4—51no—
1416C2×C22⋊C4—51no—
1417C2×C22⋊C4—51no—
1418C2×C22⋊C4—51no—
1419C2×C22⋊C4—51no—
1420C2×C22⋊C4—51no—
1421C2×C22⋊C4—51no—
1422C2×C22⋊C4—51no—
1423C2×C22⋊C4—51no—
1424C2×C22⋊C4—51no—
1425C2×C22⋊C4—51no—
1426C2×C22⋊C4—51no—
1427C2×C22⋊C4—51no—
1428C2×C22⋊C4—51no—
1429C2×C22⋊C4—51no—
1430C2×C22⋊C4—51no—
1431C2×C22⋊C4—51no—
1432C2×C22⋊C4—51no—
1433C2×C22⋊C4—51no—
1434C2×C22⋊C4—51no—
1435C2×C22⋊C4—51no—
1436C2×C22⋊C4—51no—
1437C2×C22⋊C4—51no—
1438C2×C22⋊C4—51no—
1439C2×C22⋊C4—51no—
1440C2×C22⋊C4—51no—
1441C2×C22⋊C4—58no—
1442C2×C22⋊C4—58no—
1443C2×C22⋊C4C22×D511yescharacteristic
1444C2×C22⋊C4C22×D511yescharacteristic
1445C2×C22⋊C4C22×D511yescharacteristic
1446C2×C22⋊C4C22×D511yescharacteristic
1447C2×C22⋊C4C22×D511yescharacteristic
1448C2×C22⋊C4C22×D518yes—
1449C2×C22⋊C4C22×D511yescharacteristic
1450C2×C22⋊C4C22×D511yescharacteristic
1451C2×C22⋊C4C22×D511yescharacteristic
1452C2×C22⋊C4C22×D511yescharacteristic
1453C2×C22⋊C4C22×D511yescharacteristic
1454C2×C22⋊C4C22×D511yescharacteristic
1455C2×C22⋊C4C22×D511yescharacteristic
1456C2×C22⋊C4C22×D511yescharacteristic
1457C2×C22⋊C4C22×D511yescharacteristic
1458C2×C42—51no—
1459C2×C42—51no—
1460C2×C42—51no—
1461C2×C42—51no—
1462C2×C42—51no—
1463C2×C42—51no—
1464C2×C42—51no—
1465C2×C42—51no—
1466C2×C42—51no—
1467C2×C42—51no—
1468C2×C42—58no—
1469C2×C42C22×D511yescharacteristic
1470C2×C42C22×D511yescharacteristic
1471C22×C5—22no—
1472C22×C5—22no—
1473C22×C5—22no—
1474C22×C5—22no—
1475C22×C5—22no—
1476C22×C5—22no—
1477C22×C5—22no—
1478C22×C5—22no—
1479C22×C5—22no—
1480C22×C5—22no—
1481C22×C5—22no—
1482C22×C5—22no—
1483C22×C5—22no—
1484C22×C5—22no—
1485C22×C5—22no—
1486C22×C5—44no—
1487C22×C5—44no—
1488C22×C5—44no—
1489C22×C5—44no—
1490C22×C5—44no—
1491C22×C5—88no—
1492C22×C5C2×H(5,𝔽2)12yes—
1493C22×C5#58512yes—
1494C22×C5#58512yes—
1495C22×C5C2611yescharacteristic
1496C2×D5—22no—
1497C2×D5—22no—
1498C2×D5—22no—
1499C2×D5—22no—
1500C2×D5—22no—
1501C2×D5—22no—
1502C2×D5—22no—
1503C2×D5—22no—
1504C2×D5—22no—
1505C2×D5—22no—
1506C2×D5—22no—
1507C2×D5—22no—
1508C2×D5—44no—
1509C2×D5—44no—
1510C2×D5—44no—
1511C2×D5—44no—
1512C2×D5—88no—
1513C4×C5—22no—
1514C4×C5—22no—
1515C4×C5—22no—
1516C4×C5—22no—
1517C4×C5—22no—
1518C4×C5—22no—
1519C4×C5—22no—
1520C4×C5—22no—
1521C4×C5—22no—
1522C4×C5—22no—
1523Dic5—22no—
1524Dic5—22no—
1525Dic5—22no—
1526Dic5—22no—
1527Dic5—22no—
1528Dic5—22no—
1529Dic5—22no—
1530Dic5—22no—
1531Dic5—22no—
1532Dic5—22no—
1533Dic5—22no—
1534Dic5C2×H(5,𝔽2)14yes—
1535C24—42no—
1536C24—42no—
1537C24—42no—
1538C24—51no—
1539C24—51no—
1540C24—51no—
1541C24—51no—
1542C24—54no—
1543C24—202no—
1544C24—202no—
1545C24—202no—
1546C24C23×D511yescharacteristic
1547C24C23×D511yescharacteristic
1548C24C23×D511yescharacteristic
1549C24C23×D511yescharacteristic
1550C24C23×D511yescharacteristic
1551C24C23×D514yes—
1552#41—2016no—
1553#41—2016no—
1554#41—2016no—
1555#41—2016no—
1556C2×Q8—42no—
1557C2×Q8—54no—
1558C2×Q8—54no—
1559C2×Q8—54no—
1560C2×Q8—54no—
1561C2×Q8—54no—
1562C2×Q8—104no—
1563C2×Q8—104no—
1564C2×Q8—202no—
1565C2×Q8—202no—
1566C2×Q8—202no—
1567C2×Q8—2016no—
1568C2×Q8C23×D514yes—
1569C2×D4—42no—
1570C2×D4—42no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—54no—
1577C2×D4—54no—
1578C2×D4—54no—
1579C2×D4—54no—
1580C2×D4—54no—
1581C2×D4—54no—
1582C2×D4—54no—
1583C2×D4—54no—
1584C2×D4—54no—
1585C2×D4—54no—
1586C2×D4—54no—
1587C2×D4—54no—
1588C2×D4—54no—
1589C2×D4—54no—
1590C2×D4—54no—
1591C2×D4—54no—
1592C2×D4—54no—
1593C2×D4—54no—
1594C2×D4—54no—
1595C2×D4—54no—
1596C2×D4—54no—
1597C2×D4—54no—
1598C2×D4—54no—
1599C2×D4—104no—
1600C2×D4—104no—
1601C2×D4—202no—
1602C2×D4—202no—
1603C2×D4—202no—
1604C2×D4—202no—
1605C2×D4—202no—
1606C2×D4—2016no—
1607C2×D4—202no—
1608C2×D4—202no—
1609C2×D4—202no—
1610C2×D4—202no—
1611C2×D4—202no—
1612C2×D4—202no—
1613C2×D4—202no—
1614C2×D4—202no—
1615C2×D4—202no—
1616C2×D4—202no—
1617C2×D4—202no—
1618C2×D4—202no—
1619C2×D4—202no—
1620C2×D4—202no—
1621C2×D4—202no—
1622C2×D4—202no—
1623C2×D4C23×D514yes—
1624C2×D4C23×D514yes—
1625C2×D4C23×D514yes—
1626C2×D4C23×D514yes—
1627C2×D4C23×D514yes—
1628C2×D4C23×D514yes—
1629C2×D4C23×D514yes—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—51no—
1635C22×C4—54no—
1636C22×C4—54no—
1637C22×C4—54no—
1638C22×C4—51no—
1639C22×C4—51no—
1640C22×C4—51no—
1641C22×C4—51no—
1642C22×C4—51no—
1643C22×C4—51no—
1644C22×C4—51no—
1645C22×C4—51no—
1646C22×C4—51no—
1647C22×C4—51no—
1648C22×C4—51no—
1649C22×C4—54no—
1650C22×C4—54no—
1651C22×C4—54no—
1652C22×C4—54no—
1653C22×C4—54no—
1654C22×C4—54no—
1655C22×C4—54no—
1656C22×C4—54no—
1657C22×C4—54no—
1658C22×C4—54no—
1659C22×C4—54no—
1660C22×C4—54no—
1661C22×C4—54no—
1662C22×C4—54no—
1663C22×C4—104no—
1664C22×C4—104no—
1665C22×C4—104no—
1666C22×C4—104no—
1667C22×C4—104no—
1668C22×C4—202no—
1669C22×C4—202no—
1670C22×C4—202no—
1671C22×C4—202no—
1672C22×C4—202no—
1673C22×C4—202no—
1674C22×C4—202no—
1675C22×C4—202no—
1676C22×C4—202no—
1677C22×C4—202no—
1678C22×C4—202no—
1679C22×C4—202no—
1680C22×C4C23×D511yescharacteristic
1681C22×C4C23×D511yescharacteristic
1682C22×C4C23×D511yescharacteristic
1683C22×C4C23×D511yescharacteristic
1684C22×C4C23×D511yescharacteristic
1685C22×C4C23×D511yescharacteristic
1686C22×C4C23×D511yescharacteristic
1687C22×C4C23×D511yescharacteristic
1688C22×C4C23×D511yescharacteristic
1689C22×C4C23×D511yescharacteristic
1690C22×C4C23×D514yes—
1691C22×C4C23×D514yes—
1692C22×C4C23×D514yes—
1693C22×C4C23×D514yes—
1694C4⋊C4—54no—
1695C4⋊C4—54no—
1696C4⋊C4—54no—
1697C4⋊C4—54no—
1698C4⋊C4—54no—
1699C4⋊C4—54no—
1700C4⋊C4—54no—
1701C4⋊C4—54no—
1702C4⋊C4—54no—
1703C4⋊C4—54no—
1704C4⋊C4—54no—
1705C4⋊C4—54no—
1706C4⋊C4—54no—
1707C4⋊C4—54no—
1708C4⋊C4—54no—
1709C4⋊C4—54no—
1710C4⋊C4—54no—
1711C4⋊C4—54no—
1712C4⋊C4—54no—
1713C4⋊C4—54no—
1714C4⋊C4—54no—
1715C4⋊C4—54no—
1716C4⋊C4—54no—
1717C4⋊C4—54no—
1718C4⋊C4—54no—
1719C4⋊C4—54no—
1720C4⋊C4—54no—
1721C4⋊C4—54no—
1722C4⋊C4—54no—
1723C4⋊C4—54no—
1724C4⋊C4C23×D514yes—
1725C4⋊C4C23×D514yes—
1726C4⋊C4C23×D514yes—
1727C4⋊C4C23×D514yes—
1728C4⋊C4C23×D514yes—
1729C4⋊C4C23×D514yes—
1730C22⋊C4—54no—
1731C22⋊C4—54no—
1732C22⋊C4—54no—
1733C22⋊C4—54no—
1734C22⋊C4—54no—
1735C22⋊C4—54no—
1736C22⋊C4—54no—
1737C22⋊C4—54no—
1738C22⋊C4—54no—
1739C22⋊C4—54no—
1740C22⋊C4—54no—
1741C22⋊C4—54no—
1742C22⋊C4—54no—
1743C22⋊C4—54no—
1744C22⋊C4—54no—
1745C22⋊C4—54no—
1746C22⋊C4—54no—
1747C22⋊C4—54no—
1748C22⋊C4—54no—
1749C22⋊C4—54no—
1750C22⋊C4—54no—
1751C22⋊C4—54no—
1752C22⋊C4—54no—
1753C22⋊C4—54no—
1754C22⋊C4—54no—
1755C22⋊C4—54no—
1756C22⋊C4—54no—
1757C22⋊C4—54no—
1758C22⋊C4—54no—
1759C22⋊C4—54no—
1760C22⋊C4—54no—
1761C22⋊C4—54no—
1762C22⋊C4—54no—
1763C22⋊C4—54no—
1764C22⋊C4C23×D514yes—
1765C22⋊C4C23×D514yes—
1766C22⋊C4C23×D514yes—
1767C22⋊C4C23×D514yes—
1768C22⋊C4C23×D514yes—
1769C22⋊C4C23×D514yes—
1770C22⋊C4C23×D514yes—
1771C22⋊C4C23×D514yes—
1772C22⋊C4C23×D514yes—
1773C22⋊C4C23×D514yes—
1774C22⋊C4C23×D514yes—
1775C22⋊C4C23×D514yes—
1776C22⋊C4C23×D514yes—
1777C22⋊C4C23×D514yes—
1778C42—54no—
1779C42—54no—
1780C42—54no—
1781C42—54no—
1782C42—54no—
1783C42—54no—
1784C42—54no—
1785C42—54no—
1786C42—54no—
1787C42—54no—
1788C42C23×D514yes—
1789C42C23×D514yes—
1790C2×C5—42no—
1791C2×C5—42no—
1792C2×C5—42no—
1793C2×C5—42no—
1794C2×C5—42no—
1795C2×C5#355114yescomplemented
1796C2×C5C22×H(5,𝔽2)11yescharacteristic
1797C2×C5C2×#58511yescharacteristic
1798C2×C5C2×#58511yescharacteristic
1799D5—42no—
1800D5—42no—
1801D5—42no—
1802D5—42no—
1803C23—22no—
1804C23—22no—
1805C23—22no—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—44no—
1819C23—44no—
1820C23—44no—
1821C23—52no—
1822C23—52no—
1823C23—52no—
1824C23—52no—
1825C23—88no—
1826C23—102no—
1827C23—102no—
1828C23—102no—
1829C23—102no—
1830C23—102no—
1831C23—102no—
1832C23—102no—
1833C23—102no—
1834C23—102no—
1835C23—102no—
1836C23—102no—
1837C23—102no—
1838C23—204no—
1839C23—204no—
1840C23—204no—
1841C23—408no—
1842C23C24×D512yes—
1843C23C24×D512yes—
1844C23C24×D512yes—
1845C23C24×D512yes—
1846C23C24×D512yes—
1847C23C24×D511yescharacteristic
1848Q8—44no—
1849Q8—108no—
1850Q8—108no—
1851Q8—204no—
1852Q8—204no—
1853Q8—204no—
1854D4—44no—
1855D4—44no—
1856D4—44no—
1857D4—44no—
1858D4—44no—
1859D4—44no—
1860D4—44no—
1861D4—108no—
1862D4—108no—
1863D4—204no—
1864D4—204no—
1865D4—204no—
1866D4—204no—
1867D4—204no—
1868D4—204no—
1869D4—204no—
1870D4—204no—
1871D4—204no—
1872D4—204no—
1873D4—204no—
1874D4—204no—
1875D4—204no—
1876D4—204no—
1877D4—204no—
1878D4—204no—
1879D4—204no—
1880D4—204no—
1881D4—204no—
1882D4—204no—
1883D4—204no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—44no—
1895C2×C4—44no—
1896C2×C4—44no—
1897C2×C4—44no—
1898C2×C4—54no—
1899C2×C4—52no—
1900C2×C4—52no—
1901C2×C4—52no—
1902C2×C4—52no—
1903C2×C4—52no—
1904C2×C4—52no—
1905C2×C4—52no—
1906C2×C4—52no—
1907C2×C4—52no—
1908C2×C4—52no—
1909C2×C4—52no—
1910C2×C4—52no—
1911C2×C4—108no—
1912C2×C4—108no—
1913C2×C4—108no—
1914C2×C4—108no—
1915C2×C4—108no—
1916C2×C4—102no—
1917C2×C4—102no—
1918C2×C4—102no—
1919C2×C4—102no—
1920C2×C4—102no—
1921C2×C4—102no—
1922C2×C4—102no—
1923C2×C4—102no—
1924C2×C4—102no—
1925C2×C4—102no—
1926C2×C4—102no—
1927C2×C4—204no—
1928C2×C4—204no—
1929C2×C4—204no—
1930C2×C4—204no—
1931C2×C4—204no—
1932C2×C4—204no—
1933C2×C4—204no—
1934C2×C4—204no—
1935C2×C4—204no—
1936C2×C4—204no—
1937C2×C4—204no—
1938C2×C4—204no—
1939C2×C4C24×D512yes—
1940C2×C4C24×D512yes—
1941C2×C4C24×D512yes—
1942C2×C4C24×D512yes—
1943C2×C4C24×D512yes—
1944C2×C4C24×D512yes—
1945C2×C4C24×D512yes—
1946C2×C4C24×D512yes—
1947C2×C4C24×D512yes—
1948C2×C4C24×D512yes—
1949C5C2×#355111yescharacteristic, complemented, Sylow
1950C22—22no—
1951C22—22no—
1952C22—22no—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—22no—
1963C22—22no—
1964C22—22no—
1965C22—44no—
1966C22—44no—
1967C22—44no—
1968C22—44no—
1969C22—44no—
1970C22—88no—
1971C22—102no—
1972C22—102no—
1973C22—102no—
1974C22—102no—
1975C22—102no—
1976C22—102no—
1977C22—102no—
1978C22—102no—
1979C22—102no—
1980C22—102no—
1981C22—102no—
1982C22—102no—
1983C22—204no—
1984C22—204no—
1985C22—204no—
1986C22—204no—
1987C22—408no—
1988C22#6628312yes—
1989C22D5×H(5,𝔽2)12yes—
1990C22#6628512yes—
1991C22C25×D511yescharacteristic
1992C4—22no—
1993C4—22no—
1994C4—22no—
1995C4—22no—
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—54no—
2003C4—102no—
2004C4—102no—
2005C4—102no—
2006C4—102no—
2007C4—102no—
2008C4—102no—
2009C4—102no—
2010C4—102no—
2011C4—102no—
2012C4—102no—
2013C4—102no—
2014C2—42no—
2015C2—42no—
2016C2—42no—
2017C2—42no—
2018C2—42no—
2019C2—202no—
2020C2—202no—
2021C2—202no—
2022C2—202no—
2023C2#1061830314yesdirect product factor
2024C2C2×#6628311yescharacteristic
2025C2C2×#6628511yescharacteristic
2026C2C2×D5×H(5,𝔽2)11yescharacteristic
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×#538C2
socleC23×C5C25
hypercenterC2×#538D5
hypocenterC5C2×#3551
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×C5×#538C2semidirect
2. #10618303C2direct (N × H)
3. C2×#66042C2semidirect
4. C2×#66039C2semidirect
5. C2×#66046C2semidirect
6. C2×#66043C2semidirect
7. C2×#66011C2semidirect
8. C2×#66012C2semidirect
9. C2×#66009C2semidirect
10. C2×#66004C2semidirect
11. C2×#66000C2semidirect
12. C2×#65984C2semidirect
13. C2×#65997C2semidirect
14. C2×#65983C2semidirect
15. C2×#65967C2semidirect
16. C2×#65980C2semidirect
17. C2×#65947C2semidirect
18. C2×#65942C2semidirect
19. C2×#65949C2semidirect
20. C2×#65953C2semidirect
21. C2×#65931C2semidirect
22. C2×#65930C2semidirect
23. C2×#65929C2semidirect
24. C2×#65925C2semidirect
25. C2×#65927C2semidirect
26. C2×#65926C2semidirect
27. C2×#65896C2semidirect
28. C2×#65897C2semidirect
29. C2×#65874C2semidirect
30. C2×#65872C2semidirect
31. C2×#65824C2semidirect
32. C2×#65829C2semidirect
34. C22×Q8×D5C22semidirect
37. C22×#711C22semidirect
39. C5×#538C22semidirect
41. C2×C5×#126C22semidirect
43. C2×C5×#124C22semidirect
45. C2×C5×#123C22semidirect
46. C2×C5×C22⋊Q8C22semidirect
48. C2×C5×#121C22semidirect
49. C2×C5×#121C22semidirect
52. C2×C4×C5×D4C22semidirect
53. C2×C4×C5×D4C22semidirect
58. C2×#4093C22semidirect
59. C2×#4092C22semidirect
60. C2×#4090C22semidirect
69. C2×#4085C22semidirect
70. C2×#4085C22semidirect
71. C2×#4085C22semidirect
72. C2×#4085C22semidirect
73. C2×#4085C22semidirect
75. C2×#4084C22semidirect
76. C2×#4084C22semidirect
77. C2×#4084C22semidirect
78. C2×#4084C22semidirect
83. C2×#4081C22semidirect
85. C2×D4×Dic5C22semidirect
87. C2×#4076C22semidirect
88. C2×#4076C22semidirect
89. C2×#4076C22semidirect
91. C2×#4075C22semidirect
92. C2×#4075C22semidirect
94. C2×C4×C22⋊D5C22semidirect
95. C2×C4×C22⋊D5C22semidirect
96. C2×#4072C22semidirect
97. C2×#4072C22semidirect
98. C2×#4070C22semidirect
99. C22×#683C22semidirect
100. C22×C4×Dic5C22semidirect
101. #66046C22semidirect
102. #66043C22semidirect
103. #66042C22semidirect
104. #66039C22semidirect
105. #66012C22semidirect
106. #66011C22semidirect
107. #66009C22semidirect
108. #66004C22semidirect
109. #66000C22semidirect
110. #65997C22semidirect
111. #65984C22semidirect
112. #65983C22semidirect
113. #65980C22semidirect
114. #65967C22semidirect
115. #65953C22semidirect
116. #65949C22semidirect
117. #65947C22semidirect
118. #65942C22semidirect
119. #65931C22semidirect
120. #65930C22semidirect
121. #65929C22semidirect
122. #65927C22semidirect
123. #65926C22semidirect
124. #65925C22semidirect
125. #65897C22semidirect
126. #65896C22semidirect
127. #65874C22semidirect
128. #65872C22semidirect
129. C2×#4044C22semidirect
130. C2×#4044C22semidirect
131. C2×#4044C22semidirect
132. C2×#4043C22semidirect
133. C2×#4042C22semidirect
134. C2×#4042C22semidirect
135. C2×#4042C22semidirect
136. C2×#4041C22semidirect
137. C2×#4041C22semidirect
138. C2×#4040C22semidirect
139. C2×#4040C22semidirect
140. C2×#4039C22semidirect
141. C2×#4039C22semidirect
142. C2×#4038C22semidirect
143. C2×#4038C22semidirect
144. C2×D5×C4⋊C4C22semidirect
145. C2×#4036C22semidirect
146. C2×#4036C22semidirect
147. C2×#4035C22semidirect
148. C2×#4035C22semidirect
149. C2×#4035C22semidirect
150. C2×#4035C22semidirect
151. C2×#4034C22semidirect
152. C2×#4033C22semidirect
153. #65829C22semidirect
155. C2×#4032C22semidirect
156. C2×#4032C22semidirect
162. C2×#4031C22semidirect
163. C2×#4031C22semidirect
164. C2×#4031C22semidirect
165. #65824C22semidirect
170. C2×#4030C22semidirect
171. C2×#4030C22semidirect
172. C2×#4030C22semidirect
173. C2×#4030C22semidirect
174. C2×#4030C22semidirect
175. C2×#4030C22semidirect
182. C2×#4029C22semidirect
183. C2×#4029C22semidirect
188. C2×#4027C22semidirect
189. C2×#4027C22semidirect
190. C2×#4027C22semidirect
191. C2×#4027C22semidirect
192. C2×#4027C22semidirect
198. C2×#4025C22semidirect
199. C2×#4025C22semidirect
200. C2×#4025C22semidirect
203. C2×#4024C22semidirect
204. C2×#4024C22semidirect
205. C2×#4024C22semidirect
206. C2×#4024C22semidirect
207. C2×#4024C22semidirect
209. C2×#4023C22semidirect
210. C2×#4023C22semidirect
211. C2×#4022C22semidirect
212. C2×C4×D20C22semidirect
213. C2×C4×D20C22semidirect
214. C2×#4018C22semidirect
215. C2×#4018C22semidirect
216. C2×#4018C22semidirect
217. C2×#4015C22semidirect
218. C2×C4×Dic10C22semidirect
262. C2×Q8×D5C23semidirect
268. C2×#711C23semidirect
292. C5×#126C23semidirect
294. C5×#124C23semidirect
296. C5×#123C23semidirect
297. C5×C22⋊Q8C23semidirect
299. C5×#121C23semidirect
300. C5×#121C23semidirect
303. C4×C5×D4C23semidirect
304. C4×C5×D4C23semidirect
345. #4093C23semidirect
346. #4092C23semidirect
347. #4090C23semidirect
356. #4085C23semidirect
357. #4085C23semidirect
358. #4085C23semidirect
359. #4085C23semidirect
360. #4085C23semidirect
362. #4084C23semidirect
363. #4084C23semidirect
364. #4084C23semidirect
365. #4084C23semidirect
370. #4081C23semidirect
372. D4×Dic5C23semidirect
374. #4076C23semidirect
375. #4076C23semidirect
376. #4076C23semidirect
378. #4075C23semidirect
379. #4075C23semidirect
381. C4×C22⋊D5C23semidirect
382. C4×C22⋊D5C23semidirect
403. #4072C23semidirect
404. #4072C23semidirect
415. #4070C23semidirect
436. C2×#683C23semidirect
447. C2×C4×Dic5C23semidirect
448. #4044C23semidirect
449. #4044C23semidirect
450. #4044C23semidirect
451. #4043C23semidirect
452. #4042C23semidirect
453. #4042C23semidirect
454. #4042C23semidirect
455. #4041C23semidirect
456. #4041C23semidirect
457. #4040C23semidirect
458. #4040C23semidirect
459. #4039C23semidirect
460. #4039C23semidirect
461. #4038C23semidirect
462. #4038C23semidirect
463. D5×C4⋊C4C23semidirect
464. #4036C23semidirect
465. #4036C23semidirect
466. #4035C23semidirect
467. #4035C23semidirect
468. #4035C23semidirect
469. #4035C23semidirect
470. #4034C23semidirect
471. #4033C23semidirect
473. #4032C23semidirect
474. #4032C23semidirect
480. #4031C23semidirect
481. #4031C23semidirect
482. #4031C23semidirect
487. #4030C23semidirect
488. #4030C23semidirect
489. #4030C23semidirect
490. #4030C23semidirect
491. #4030C23semidirect
492. #4030C23semidirect
499. #4029C23semidirect
500. #4029C23semidirect
505. #4027C23semidirect
506. #4027C23semidirect
507. #4027C23semidirect
508. #4027C23semidirect
509. #4027C23semidirect
515. #4025C23semidirect
516. #4025C23semidirect
517. #4025C23semidirect
520. #4024C23semidirect
521. #4024C23semidirect
522. #4024C23semidirect
523. #4024C23semidirect
524. #4024C23semidirect
526. #4023C23semidirect
527. #4023C23semidirect
528. #4022C23semidirect
529. C4×D20C23semidirect
530. C4×D20C23semidirect
531. #4018C23semidirect
532. #4018C23semidirect
533. #4018C23semidirect
534. #4015C23semidirect
535. C4×Dic10C23semidirect
560. C2×#538D5semidirect
852. #538C2×D5semidirect
877. C2×#126C2×D5semidirect
895. C2×#124C2×D5semidirect
915. C2×#123C2×D5semidirect
929. C2×C22⋊Q8C2×D5semidirect
962. C2×#121C2×D5semidirect
963. C2×#121C2×D5semidirect
990. C2×C4×D4C2×D5semidirect
991. C2×C4×D4C2×D5semidirect
1243. #126C22×D5semidirect
1261. #124C22×D5semidirect
1281. #123C22×D5semidirect
1295. C22⋊Q8C22×D5semidirect
1328. #121C22×D5semidirect
1329. #121C22×D5semidirect
1356. C4×D4C22×D5semidirect
1357. C4×D4C22×D5semidirect
1795. C2×C5#3551semidirect
1949. C5C2×#3551semidirect
2023. C2#10618303direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5382
#106183032
C2×#660422
C2×#660392
C2×#660462
C2×#660432
C2×#660112
C2×#660122
C2×#660092
C2×#660042
C2×#660002
C2×#659842
C2×#659972
C2×#659832
C2×#659672
C2×#659802
C2×#659472
C2×#659422
C2×#659492
C2×#659532
C2×#659312
C2×#659302
C2×#659292
C2×#659252
C2×#659272
C2×#659262
C2×#658962
C2×#658972
C2×#658742
C2×#658722
C2×#658242
C2×#658292
C2×#35515