Finite Group Databasebeta

← C2×#10618973 #13006574

Subgroups — C2×#10618973 #13006574

Order 1280.

7354 conjugacy classes of subgroups.

The subgroup lattice has 2024 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#560C211yesmaximal, characteristic, complemented
2#10618973C2132yesmaximal, direct product factor
3C2×#66053C211yesmaximal, characteristic, complemented
4C2×#66052C211yesmaximal, characteristic, complemented
5C2×#66042C211yesmaximal, characteristic, complemented
6C2×#66041C211yesmaximal, characteristic, complemented
7C2×#66043C211yesmaximal, characteristic, complemented
8C2×#66035C211yesmaximal, characteristic, complemented
9C2×#65989C211yesmaximal, characteristic, complemented
10C2×#65994C211yesmaximal, characteristic, complemented
11C2×#65995C211yesmaximal, characteristic, complemented
12C2×#65984C211yesmaximal, characteristic, complemented
13C2×#65997C211yesmaximal, characteristic, complemented
14C2×#65999C211yesmaximal, characteristic, complemented
15C2×#65948C211yesmaximal, characteristic, complemented
16C2×#65942C211yesmaximal, characteristic, complemented
17C2×#65935C211yesmaximal, characteristic, complemented
18C2×#65935C211yesmaximal, characteristic, complemented
19C2×#65952C211yesmaximal, characteristic, complemented
20C2×#65933C211yesmaximal, characteristic, complemented
21C2×#65945C211yesmaximal, characteristic, complemented
22C2×#65949C211yesmaximal, characteristic, complemented
23C2×#65949C211yesmaximal, characteristic, complemented
24C2×#65953C211yesmaximal, characteristic, complemented
25C2×#65936C211yesmaximal, characteristic, complemented
26C2×#65931C211yesmaximal, characteristic, complemented
27C2×#65929C211yesmaximal, characteristic, complemented
28C2×#65929C211yesmaximal, characteristic, complemented
29C2×#65929C211yesmaximal, characteristic, complemented
30C2×#65920C211yesmaximal, characteristic, complemented
31C2×#65920C211yesmaximal, characteristic, complemented
32C2×#65920C211yesmaximal, characteristic, complemented
33C24×Dic5C2211yescharacteristic
34C22×#711C2211yescharacteristic
35C22×#711C2211yescharacteristic
36C22×#711C2211yescharacteristic
37C22×#711C2211yescharacteristic, complemented
38C22×#709C2211yescharacteristic, complemented
39C5×#560C22116yescomplemented
40C2×C5×#127C2211yescharacteristic
41C2×C5×#126C2211yescharacteristic
42C2×C5×#126C2211yescharacteristic
43C2×C5×#123C2211yescharacteristic
44C2×C5×#123C2211yescharacteristic
45C2×C5×#123C2211yescharacteristic
46C2×C5×#121C2211yescharacteristic
47C2×C5×#121C2211yescharacteristic
48C2×C5×#121C2211yescharacteristic
49C2×C5×#121C2211yescharacteristic
50C2×C5×#121C2211yescharacteristic
51C2×C5×#121C2211yescharacteristic
52C2×C5×#120C2211yescharacteristic
53C2×C5×#120C2211yescharacteristic
54C2×C5×#120C2211yescharacteristic
55C2×#4099C2211yescharacteristic
56C2×#4099C2211yescharacteristic
57C2×#4099C2211yescharacteristic
58C2×#4086C2211yescharacteristic
59C2×#4086C2211yescharacteristic
60C2×#4086C2211yescharacteristic
61C2×#4086C2211yescharacteristic, complemented
62C2×#4085C2211yescharacteristic
63C2×#4085C2211yescharacteristic
64C2×#4085C2211yescharacteristic
65C2×#4085C2211yescharacteristic
66C2×#4085C2211yescharacteristic
67C2×#4085C2211yescharacteristic
68C2×#4085C2211yescharacteristic
69C2×#4085C2211yescharacteristic
70C2×#4085C2211yescharacteristic
71C2×#4085C2211yescharacteristic
72C2×#4085C2211yescharacteristic
73C2×#4085C2211yescharacteristic
74C2×#4085C2211yescharacteristic, complemented
75C2×#4085C2211yescharacteristic, complemented
76C2×#4085C2211yescharacteristic, complemented
77C2×#4085C2211yescharacteristic, complemented
78C2×#4084C2211yescharacteristic
79C2×#4084C2211yescharacteristic
80C2×#4084C2211yescharacteristic
81C2×#4084C2211yescharacteristic
82C2×#4084C2211yescharacteristic
83C2×#4084C2211yescharacteristic
84C2×#4084C2211yescharacteristic, complemented
85C2×#4084C2211yescharacteristic, complemented
86C2×#4081C2211yescharacteristic
87C2×#4081C2211yescharacteristic
88C2×#4081C2211yescharacteristic
89C2×#4081C2211yescharacteristic
90C2×#4081C2211yescharacteristic
91C2×#4081C2211yescharacteristic
92C2×#4081C2211yescharacteristic, complemented
93C2×#4081C2211yescharacteristic, complemented
94C2×D4×Dic5C2211yescharacteristic
95C2×D4×Dic5C2211yescharacteristic
96C2×D4×Dic5C2211yescharacteristic
97C2×D4×Dic5C2211yescharacteristic
98C2×D4×Dic5C2211yescharacteristic
99C2×D4×Dic5C2211yescharacteristic
100C2×D4×Dic5C2211yescharacteristic, complemented
101C2×D4×Dic5C2211yescharacteristic, complemented
102C2×#4076C2211yescharacteristic, complemented
103C2×#4075C2211yescharacteristic, complemented
104C2×C4×C22⋊D5C2211yescharacteristic, complemented
105C2×C4×C22⋊D5C2211yescharacteristic, complemented
106C2×C4×C22⋊D5C2211yescharacteristic, complemented
107C2×C4×C22⋊D5C2211yescharacteristic, complemented
108C2×#4072C2211yescharacteristic, complemented
109C22×C4⋊Dic5C2211yescharacteristic, complemented
110C2×#4070C2211yescharacteristic, complemented
111C22×#683C2211yescharacteristic, complemented
112C22×#683C2211yescharacteristic, complemented
113#66053C22116yescomplemented
114#66052C22116yescomplemented
115#66043C22116yescomplemented
116#66042C22116yescomplemented
117#66041C22116yescomplemented
118#66035C22116yescomplemented
119#65999C22116yescomplemented
120#65997C22116yescomplemented
121#65995C22116yescomplemented
122#65994C22116yescomplemented
123#65989C22116yescomplemented
124#65984C22116yescomplemented
125#65953C22116yescomplemented
126#65952C22116yescomplemented
127#65949C22116yescomplemented
128#65949C22116yescomplemented
129#65948C22116yescomplemented
130#65945C22116yescomplemented
131#65942C22116yescomplemented
132#65936C22116yescomplemented
133#65935C22116yescomplemented
134#65935C22116yescomplemented
135#65933C22116yescomplemented
136#65931C22116yescomplemented
137#65929C22116yescomplemented
138#65929C22116yescomplemented
139#65929C22116yescomplemented
140#65920C22116yescomplemented
141#65920C22116yescomplemented
142#65920C22116yescomplemented
143C2×#4044C2211yescharacteristic, complemented
144C2×#4044C2211yescharacteristic, complemented
145C2×#4043C2211yescharacteristic, complemented
146C2×#4042C2211yescharacteristic, complemented
147C2×#4042C2211yescharacteristic, complemented
148C2×#4041C2211yescharacteristic, complemented
149C2×#4040C2211yescharacteristic, complemented
150C2×#4040C2211yescharacteristic, complemented
151C2×#4039C2211yescharacteristic, complemented
152C2×#4038C2211yescharacteristic, complemented
153C2×D5×C4⋊C4C2211yescharacteristic, complemented
154C2×D5×C4⋊C4C2211yescharacteristic, complemented
155C2×D5×C4⋊C4C2211yescharacteristic, complemented
156C2×#4036C2211yescharacteristic, complemented
157C2×#4036C2211yescharacteristic, complemented
158C2×#4036C2211yescharacteristic, complemented
159C2×#4035C2211yescharacteristic, complemented
160C2×#4035C2211yescharacteristic, complemented
161C2×#4035C2211yescharacteristic, complemented
162C2×#4035C2211yescharacteristic, complemented
163C2×#4035C2211yescharacteristic, complemented
164C2×#4035C2211yescharacteristic, complemented
165C2×#4034C2211yescharacteristic, complemented
166C2×#4033C2211yescharacteristic, complemented
167C2×#4032C2211yescharacteristic
168C2×#4032C2211yescharacteristic
169C2×#4032C2211yescharacteristic
170C2×#4032C2211yescharacteristic, complemented
171C2×#4030C2211yescharacteristic
172C2×#4030C2211yescharacteristic
173C2×#4030C2211yescharacteristic
174C2×#4030C2211yescharacteristic
175C2×#4030C2211yescharacteristic
176C2×#4030C2211yescharacteristic
177C2×#4030C2211yescharacteristic, complemented
178C2×#4030C2211yescharacteristic, complemented
179C2×#4029C2211yescharacteristic
180C2×#4029C2211yescharacteristic
181C2×#4029C2211yescharacteristic
182C2×#4029C2211yescharacteristic
183C2×#4029C2211yescharacteristic
184C2×#4029C2211yescharacteristic
185C2×#4029C2211yescharacteristic, complemented
186C2×#4029C2211yescharacteristic, complemented
187C2×#4027C2211yescharacteristic
188C2×#4027C2211yescharacteristic
189C2×#4027C2211yescharacteristic
190C2×#4027C2211yescharacteristic
191C2×#4027C2211yescharacteristic
192C2×#4027C2211yescharacteristic
193C2×#4027C2211yescharacteristic, complemented
194C2×#4027C2211yescharacteristic, complemented
195C2×#4025C2211yescharacteristic
196C2×#4025C2211yescharacteristic
197C2×#4025C2211yescharacteristic
198C2×#4025C2211yescharacteristic
199C2×#4025C2211yescharacteristic
200C2×#4025C2211yescharacteristic
201C2×#4025C2211yescharacteristic, complemented
202C2×#4025C2211yescharacteristic, complemented
203C2×#4024C2211yescharacteristic
204C2×#4024C2211yescharacteristic
205C2×#4024C2211yescharacteristic
206C2×#4024C2211yescharacteristic
207C2×#4024C2211yescharacteristic
208C2×#4024C2211yescharacteristic
209C2×#4024C2211yescharacteristic, complemented
210C2×#4024C2211yescharacteristic, complemented
211C2×#4023C2211yescharacteristic
212C2×#4023C2211yescharacteristic
213C2×#4023C2211yescharacteristic
214C2×#4023C2211yescharacteristic, complemented
215C2×C4×D20C2211yescharacteristic, complemented
216C2×#4018C2211yescharacteristic, complemented
217C2×#4016C2211yescharacteristic, complemented
218C2×C4×Dic10C2211yescharacteristic, complemented
219C2×#3539—51nomaximal, Sylow
220C25×C5C2311yescharacteristic
221C22×C5×D4C2311yescharacteristic
222C22×C5×D4C2311yescharacteristic
223C22×C5×D4C2311yescharacteristic
224C22×C5×D4C2311yescharacteristic
225C22×C5×D4C2311yescharacteristic
226C22×C5×D4C2311yescharacteristic
227C22×C5×D4C2311yescharacteristic
228C22×C5×D4C2311yescharacteristic
229C22×C5×D4C2311yescharacteristic
230C22×C5×D4C2311yescharacteristic
231C22×C5×D4C2311yescharacteristic
232C22×C5×D4C2311yescharacteristic
233C23×C4×C5C2311yescharacteristic
234C23×C4×C5C2311yescharacteristic
235C23×C4×C5C2311yescharacteristic
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⋊D5C2311yescharacteristic
254C23×Dic5—44no—
255C23×Dic5C2311yescharacteristic
256C23×Dic5C2311yescharacteristic
257C23×Dic5C2311yescharacteristic
258C23×Dic5C2311yescharacteristic
259C23×Dic5C2311yescharacteristic
260C23×Dic5C2311yescharacteristic
261C23×Dic5C2311yescharacteristic
262C23×Dic5C2311yescharacteristic
263C23×Dic5C2311yescharacteristic
264C23×Dic5C2311yescharacteristic
265C23×Dic5C2311yescharacteristic
266C23×Dic5C2311yescharacteristic
267C23×Dic5C2318yes—
268C2×#711—44no—
269C2×#711—44no—
270C2×#711—44no—
271C2×#711—44no—
272C2×#711C2318yes—
273C2×#711C2318yes—
274C2×#711C2318yes—
275C2×#711C2318yescomplemented
276C2×#709—44no—
277C2×#709C2318yescomplemented
278C22×D20C2311yescharacteristic
279C22×D20C2311yescharacteristic
280C22×D20C2311yescharacteristic
281C22×C4×D5C2311yescharacteristic
282C22×C4×D5C2311yescharacteristic
283C22×C4×D5C2311yescharacteristic
284C22×C4×D5C2311yescharacteristic
285C22×C4×D5C2311yescharacteristic
286C22×C4×D5C2311yescharacteristic
287C22×C4×D5C2311yescharacteristic
288C22×C4×D5C2311yescharacteristic
289C22×C4×D5C2311yescharacteristic
290C22×Dic10C2311yescharacteristic
291C22×Dic10C2311yescharacteristic
292C22×Dic10C2311yescharacteristic
293C5×#127C2318yes—
294C5×#126C2318yes—
295C5×#126C2318yes—
296C5×#123C2318yes—
297C5×#123C2318yes—
298C5×#123C2318yes—
299C5×#121C2318yes—
300C5×#121C2318yes—
301C5×#121C2318yes—
302C5×#121C2318yes—
303C5×#121C2318yes—
304C5×#121C2318yes—
305C5×#120C2318yes—
306C5×#120C2318yes—
307C5×#120C2318yes—
308C2×C5×C4⋊C4C2311yescharacteristic
309C2×C5×C4⋊C4C2311yescharacteristic
310C2×C5×C4⋊C4C2311yescharacteristic
311C2×C5×C4⋊C4C2311yescharacteristic
312C2×C5×C4⋊C4C2311yescharacteristic
313C2×C5×C4⋊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×C42×C5C2311yescharacteristic
327#4099C2318yes—
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⋊Dic5C2311yescharacteristic
345C2×C22⋊Dic5C2311yescharacteristic
346C2×C22⋊Dic5C2311yescharacteristic
347C2×C22⋊Dic5C2311yescharacteristic
348#4086C2318yes—
349#4086C2318yes—
350#4086C2318yes—
351#4086C2318yescomplemented
352#4085C2318yes—
353#4085C2318yes—
354#4085C2318yes—
355#4085C2318yes—
356#4085C2318yes—
357#4085C2318yes—
358#4085C2318yes—
359#4085C2318yes—
360#4085C2318yes—
361#4085C2318yes—
362#4085C2318yes—
363#4085C2318yes—
364#4085C2318yescomplemented
365#4085C2318yescomplemented
366#4085C2318yescomplemented
367#4085C2318yescomplemented
368#4084C2318yes—
369#4084C2318yes—
370#4084C2318yes—
371#4084C2318yes—
372#4084C2318yes—
373#4084C2318yes—
374#4084C2318yescomplemented
375#4084C2318yescomplemented
376#4081C2318yes—
377#4081C2318yes—
378#4081C2318yes—
379#4081C2318yes—
380#4081C2318yes—
381#4081C2318yes—
382#4081C2318yescomplemented
383#4081C2318yescomplemented
384D4×Dic5C2318yes—
385D4×Dic5C2318yes—
386D4×Dic5C2318yes—
387D4×Dic5C2318yes—
388D4×Dic5C2318yes—
389D4×Dic5C2318yes—
390D4×Dic5C2318yescomplemented
391D4×Dic5C2318yescomplemented
392#4076C2318yescomplemented
393#4075C2318yescomplemented
394C4×C22⋊D5C2318yescomplemented
395C4×C22⋊D5C2318yescomplemented
396C4×C22⋊D5C2318yescomplemented
397C4×C22⋊D5C2318yescomplemented
398C2×#685C2311yescharacteristic
399C2×#685C2311yescharacteristic
400C2×#685C2311yescharacteristic
401C2×#685C2311yescharacteristic
402C2×#685C2311yescharacteristic
403C2×#685C2311yescharacteristic
404C2×#685C2311yescharacteristic
405C2×#685C2311yescharacteristic
406C2×#685C2311yescharacteristic
407C2×#685C2311yescharacteristic
408C2×#685C2311yescharacteristic
409C2×#685C2311yescharacteristic
410#4072C2318yescomplemented
411C2×C4⋊Dic5C2311yescharacteristic
412C2×C4⋊Dic5C2311yescharacteristic
413C2×C4⋊Dic5C2311yescharacteristic
414C2×C4⋊Dic5C2311yescharacteristic
415C2×C4⋊Dic5C2311yescharacteristic
416C2×C4⋊Dic5C2311yescharacteristic
417C2×C4⋊Dic5C2311yescharacteristic
418C2×C4⋊Dic5C2311yescharacteristic
419C2×C4⋊Dic5C2311yescharacteristic
420C2×C4⋊Dic5C2311yescharacteristic
421C2×C4⋊Dic5C2311yescharacteristic
422C2×C4⋊Dic5C2311yescharacteristic
423C2×C4⋊Dic5C2318yescomplemented
424#4070C2318yescomplemented
425C2×#683C2311yescharacteristic
426C2×#683C2311yescharacteristic
427C2×#683C2311yescharacteristic
428C2×#683C2311yescharacteristic
429C2×#683C2311yescharacteristic
430C2×#683C2311yescharacteristic
431C2×#683C2311yescharacteristic
432C2×#683C2311yescharacteristic
433C2×#683C2311yescharacteristic
434C2×#683C2311yescharacteristic
435C2×#683C2311yescharacteristic
436C2×#683C2311yescharacteristic
437C2×#683C2311yescharacteristic
438C2×#683C2311yescharacteristic
439C2×#683C2311yescharacteristic
440C2×#683C2311yescharacteristic
441C2×#683C2311yescharacteristic
442C2×#683C2311yescharacteristic
443C2×#683C2311yescharacteristic
444C2×#683C2311yescharacteristic
445C2×#683C2311yescharacteristic
446C2×#683C2311yescharacteristic
447C2×#683C2311yescharacteristic
448C2×#683C2311yescharacteristic
449C2×#683C2318yescomplemented
450C2×#683C2318yescomplemented
451C2×C4×Dic5C2311yescharacteristic
452C2×C4×Dic5C2311yescharacteristic
453C2×C4×Dic5C2311yescharacteristic
454C2×C4×Dic5C2311yescharacteristic
455C2×C4×Dic5C2311yescharacteristic
456C2×C4×Dic5C2311yescharacteristic
457C2×C4×Dic5C2311yescharacteristic
458C2×C4×Dic5C2311yescharacteristic
459C2×C4×Dic5C2311yescharacteristic
460#4044C2318yescomplemented
461#4044C2318yescomplemented
462#4043C2318yescomplemented
463#4042C2318yescomplemented
464#4042C2318yescomplemented
465#4041C2318yescomplemented
466#4040C2318yescomplemented
467#4040C2318yescomplemented
468#4039C2318yescomplemented
469#4038C2318yescomplemented
470D5×C4⋊C4C2318yescomplemented
471D5×C4⋊C4C2318yescomplemented
472D5×C4⋊C4C2318yescomplemented
473#4036C2318yescomplemented
474#4036C2318yescomplemented
475#4036C2318yescomplemented
476#4035C2318yescomplemented
477#4035C2318yescomplemented
478#4035C2318yescomplemented
479#4035C2318yescomplemented
480#4035C2318yescomplemented
481#4035C2318yescomplemented
482#4034C2318yescomplemented
483#4033C2318yescomplemented
484#4032C2318yes—
485#4032C2318yes—
486#4032C2318yes—
487#4032C2318yescomplemented
488#4030C2318yes—
489#4030C2318yes—
490#4030C2318yes—
491#4030C2318yes—
492#4030C2318yes—
493#4030C2318yes—
494#4030C2318yescomplemented
495#4030C2318yescomplemented
496#4029C2318yes—
497#4029C2318yes—
498#4029C2318yes—
499#4029C2318yes—
500#4029C2318yes—
501#4029C2318yes—
502#4029C2318yescomplemented
503#4029C2318yescomplemented
504#4027C2318yes—
505#4027C2318yes—
506#4027C2318yes—
507#4027C2318yes—
508#4027C2318yes—
509#4027C2318yes—
510#4027C2318yescomplemented
511#4027C2318yescomplemented
512#4025C2318yes—
513#4025C2318yes—
514#4025C2318yes—
515#4025C2318yes—
516#4025C2318yes—
517#4025C2318yes—
518#4025C2318yescomplemented
519#4025C2318yescomplemented
520#4024C2318yes—
521#4024C2318yes—
522#4024C2318yes—
523#4024C2318yes—
524#4024C2318yes—
525#4024C2318yes—
526#4024C2318yescomplemented
527#4024C2318yescomplemented
528#4023C2318yes—
529#4023C2318yes—
530#4023C2318yes—
531#4023C2318yescomplemented
532C4×D20C2318yescomplemented
533#4018C2318yescomplemented
534#4016C2318yescomplemented
535C4×Dic10C2318yescomplemented
536#3539—532no—
537C2×#560—51no—
538C2×#560—51no—
539C2×#560—51no—
540C2×#560D511yescharacteristic, complemented
541C2×#553—51no—
542C2×#553—51no—
543C2×#553—51no—
544C2×#553—51no—
545C2×#553—51no—
546C2×#553—51no—
547C2×#552—51no—
548C2×#552—51no—
549C2×#550—51no—
550C2×#550—51no—
551C2×#547—51no—
552C2×#547—51no—
553C2×#541—51no—
554C2×#540—51no—
555C2×#540—51no—
556C2×#540—51no—
557C2×#540—51no—
558C2×#540—51no—
559C2×#539—51no—
560C2×#539—51no—
561C2×#539—51no—
562C2×#539—51no—
563C2×#537—51no—
564C2×#537—51no—
565C2×#525—51no—
566C2×#525—51no—
567C2×#525—51no—
568C24×C5—42no—
569C24×C5—42no—
570C24×C5—42no—
571C24×C5C2411yescharacteristic
572C24×C5C2411yescharacteristic
573C24×C5C2411yescharacteristic
574C24×C5C2411yescharacteristic
575C24×C5C2411yescharacteristic
576C24×C5C2411yescharacteristic
577C24×C5C2414yes—
578C23×D5C2411yescharacteristic
579C23×D5C2411yescharacteristic
580C23×D5C2411yescharacteristic
581C2×C5×D4—42no—
582C2×C5×D4—42no—
583C2×C5×D4—42no—
584C2×C5×D4—42no—
585C2×C5×D4—42no—
586C2×C5×D4—42no—
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×D4C2414yes—
594C2×C5×D4C2414yes—
595C2×C5×D4C2414yes—
596C2×C5×D4C2414yes—
597C2×C5×D4C2414yes—
598C2×C5×D4C2414yes—
599C2×C5×D4C2414yes—
600C2×C5×D4C2414yes—
601C2×C5×D4C2414yes—
602C2×C5×D4C2414yes—
603C2×C5×D4C2414yes—
604C2×C5×D4C2414yes—
605C22×C4×C5—42no—
606C22×C4×C5—42no—
607C22×C4×C5—42no—
608C22×C4×C5C2411yescharacteristic
609C22×C4×C5C2411yescharacteristic
610C22×C4×C5C2411yescharacteristic
611C22×C4×C5C2411yescharacteristic
612C22×C4×C5C2411yescharacteristic
613C22×C4×C5C2411yescharacteristic
614C22×C4×C5C2411yescharacteristic
615C22×C4×C5C2411yescharacteristic
616C22×C4×C5C2411yescharacteristic
617C22×C4×C5C2414yes—
618C22×C4×C5C2414yes—
619C22×C4×C5C2414yes—
620C2×C22⋊D5—24no—
621C2×C22⋊D5—24no—
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—24no—
660C22×Dic5—416no—
661C22×Dic5—42no—
662C22×Dic5—42no—
663C22×Dic5—42no—
664C22×Dic5—42no—
665C22×Dic5—42no—
666C22×Dic5—42no—
667C22×Dic5—42no—
668C22×Dic5—42no—
669C22×Dic5C2411yescharacteristic
670C22×Dic5C2411yescharacteristic
671C22×Dic5C2411yescharacteristic
672C22×Dic5C2411yescharacteristic
673C22×Dic5C2411yescharacteristic
674C22×Dic5C2411yescharacteristic
675C22×Dic5C2411yescharacteristic
676C22×Dic5C2411yescharacteristic
677C22×Dic5C2411yescharacteristic
678C22×Dic5C2411yescharacteristic
679C22×Dic5C2411yescharacteristic
680C22×Dic5C2411yescharacteristic
681C22×Dic5C2414yes—
682C22×Dic5C2414yes—
683C22×Dic5C2414yes—
684C22×Dic5C2414yes—
685C22×Dic5C2414yes—
686C22×Dic5C2414yes—
687C22×Dic5C2414yes—
688C22×Dic5C2414yes—
689C22×Dic5C2414yes—
690C22×Dic5C2414yes—
691C22×Dic5C2414yes—
692C22×Dic5C2414yes—
693C22×Dic5C2411yescharacteristic
694#711—416no—
695#711—416no—
696#711—416no—
697#711—416no—
698#709—416no—
699C2×D20—42no—
700C2×D20—42no—
701C2×D20—42no—
702C2×D20C2414yes—
703C2×D20C2414yes—
704C2×D20C2414yes—
705C2×C4×D5—24no—
706C2×C4×D5—42no—
707C2×C4×D5—42no—
708C2×C4×D5—42no—
709C2×C4×D5—42no—
710C2×C4×D5—42no—
711C2×C4×D5—42no—
712C2×C4×D5—42no—
713C2×C4×D5—42no—
714C2×C4×D5C2414yes—
715C2×C4×D5C2414yes—
716C2×C4×D5C2414yes—
717C2×C4×D5C2414yes—
718C2×C4×D5C2414yes—
719C2×C4×D5C2414yes—
720C2×C4×D5C2414yes—
721C2×C4×D5C2414yes—
722C2×C4×D5C2414yes—
723C2×Dic10—24no—
724C2×Dic10—24no—
725C2×Dic10—42no—
726C2×Dic10C2414yes—
727C2×Dic10C2414yes—
728C2×Dic10C2414yes—
729C5×C4⋊C4C2414yes—
730C5×C4⋊C4C2414yes—
731C5×C4⋊C4C2414yes—
732C5×C4⋊C4C2414yes—
733C5×C4⋊C4C2414yes—
734C5×C4⋊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—
748C22⋊Dic5C2414yes—
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—
763C22⋊Dic5C2414yes—
764C22⋊Dic5C2414yes—
765C22⋊Dic5C2414yes—
766#685C2414yes—
767#685C2414yes—
768#685C2414yes—
769#685C2414yes—
770#685C2414yes—
771#685C2414yes—
772#685C2414yes—
773#685C2414yes—
774#685C2414yes—
775#685C2414yes—
776#685C2414yes—
777#685C2414yes—
778C4⋊Dic5C2414yes—
779C4⋊Dic5C2414yes—
780C4⋊Dic5C2414yes—
781C4⋊Dic5C2414yes—
782C4⋊Dic5C2414yes—
783C4⋊Dic5C2414yes—
784C4⋊Dic5C2414yes—
785C4⋊Dic5C2414yes—
786C4⋊Dic5C2414yes—
787C4⋊Dic5C2414yes—
788C4⋊Dic5C2414yes—
789C4⋊Dic5C2414yes—
790#683C2414yes—
791#683C2414yes—
792#683C2414yes—
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—
813#683C2414yes—
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—
827C22×#41—51no—
828C24×C4—51no—
829#560—516no—
830#560—516no—
831#560—516no—
832#560C2×D5116yescomplemented
833#553—516no—
834#553—516no—
835#553—516no—
836#553—516no—
837#553—516no—
838#553—516no—
839#552—516no—
840#552—516no—
841#550—516no—
842#550—516no—
843#547—516no—
844#547—516no—
845#541—516no—
846#540—516no—
847#540—516no—
848#540—516no—
849#540—516no—
850#540—516no—
851#539—516no—
852#539—516no—
853#539—516no—
854#539—516no—
855#537—516no—
856#537—516no—
857C2×C4⋊Q8—51no—
858C2×#127—51no—
859C2×#127—51no—
860C2×#127—51no—
861C2×#127—51no—
862C2×#127C2×D511yescharacteristic
863C2×#126—51no—
864C2×#126—51no—
865C2×#126—51no—
866C2×#126—51no—
867C2×#126—51no—
868C2×#126—51no—
869C2×#126—51no—
870C2×#126—51no—
871C2×#126—51no—
872C2×#126—51no—
873C2×#126C2×D511yescharacteristic
874C2×#126C2×D511yescharacteristic
875C2×#125—51no—
876C2×#125—51no—
877C2×#125—51no—
878C2×#125—51no—
879C2×#125—51no—
880C2×#125—51no—
881C2×#125—51no—
882C2×#125—51no—
883C2×#125—51no—
884C2×#125—51no—
885#525—516no—
886#525—516no—
887#525—516no—
888C2×#123—51no—
889C2×#123—51no—
890C2×#123—51no—
891C2×#123—51no—
892C2×#123—51no—
893C2×#123—51no—
894C2×#123—51no—
895C2×#123—51no—
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×#123C2×D511yescharacteristic
912C2×#123C2×D511yescharacteristic
913C2×#123C2×D511yescharacteristic
914C2×C22⋊Q8—51no—
915C2×C22⋊Q8—51no—
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×#121—51no—
927C2×#121—51no—
928C2×#121—51no—
929C2×#121—51no—
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×#121C2×D511yescharacteristic
961C2×#121C2×D511yescharacteristic
962C2×#121C2×D511yescharacteristic
963C2×#121C2×D511yescharacteristic
964C2×#121C2×D511yescharacteristic
965C2×#121C2×D511yescharacteristic
966C2×#120—51no—
967C2×#120—51no—
968C2×#120—51no—
969C2×#120C2×D511yescharacteristic
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×D4—51no—
991C2×C4×D4—51no—
992C2×C4×D4—51no—
993C2×C4×D4—51no—
994C2×C4×D4—51no—
995C2×C4×D4—51no—
996C2×#117—51no—
997C2×#117—51no—
998C2×#117—51no—
999C2×#117—51no—
1000C2×#117—51no—
1001C2×#117—51no—
1002C2×#117—51no—
1003C22×C4⋊C4—51no—
1004C22×C4⋊C4—51no—
1005C22×C4⋊C4—51no—
1006C22×C4⋊C4—51no—
1007C22×C4⋊C4—51no—
1008C22×C4⋊C4—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—22no—
1025C23×C5—22no—
1026C23×C5—22no—
1027C23×C5—44no—
1028C23×C5—44no—
1029C23×C5—44no—
1030C23×C5—416no—
1031C23×C5C2512yes—
1032C23×C5C2512yes—
1033C23×C5C2512yes—
1034C23×C5C2512yes—
1035C23×C5C2512yes—
1036C23×C5C2512yes—
1037C23×C5C2511yescharacteristic
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—22no—
1047C22×D5C2512yes—
1048C22×D5C2512yes—
1049C22×D5C2512yes—
1050C5×D4—44no—
1051C5×D4—44no—
1052C5×D4—44no—
1053C5×D4—44no—
1054C5×D4—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—44no—
1072C2×C4×C5—44no—
1073C2×C4×C5—44no—
1074C2×C4×C5C2512yes—
1075C2×C4×C5C2512yes—
1076C2×C4×C5C2512yes—
1077C2×C4×C5C2512yes—
1078C2×C4×C5C2512yes—
1079C2×C4×C5C2512yes—
1080C2×C4×C5C2512yes—
1081C2×C4×C5C2512yes—
1082C2×C4×C5C2512yes—
1083C22⋊D5—28no—
1084C22⋊D5—28no—
1085C22⋊D5—44no—
1086C22⋊D5—44no—
1087C22⋊D5—44no—
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—
1101C2×Dic5—22no—
1102C2×Dic5—22no—
1103C2×Dic5—22no—
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—28no—
1114C2×Dic5—28no—
1115C2×Dic5—28no—
1116C2×Dic5—28no—
1117C2×Dic5—44no—
1118C2×Dic5—44no—
1119C2×Dic5—44no—
1120C2×Dic5—44no—
1121C2×Dic5—44no—
1122C2×Dic5—44no—
1123C2×Dic5—44no—
1124C2×Dic5—44no—
1125C2×Dic5H(5,𝔽2)14yes—
1126C2×Dic5C2512yes—
1127C2×Dic5C2512yes—
1128C2×Dic5C2512yes—
1129C2×Dic5C2512yes—
1130C2×Dic5C2512yes—
1131C2×Dic5C2512yes—
1132C2×Dic5C2512yes—
1133C2×Dic5C2512yes—
1134C2×Dic5C2512yes—
1135C2×Dic5C2512yes—
1136C2×Dic5C2512yes—
1137C2×Dic5C2512yes—
1138C2×Dic5C2512yes—
1139D20—44no—
1140D20—44no—
1141D20—44no—
1142C4×D5—28no—
1143C4×D5—44no—
1144C4×D5—44no—
1145C4×D5—44no—
1146C4×D5—44no—
1147C4×D5—44no—
1148C4×D5—44no—
1149C4×D5—44no—
1150C4×D5—44no—
1151Dic10—28no—
1152Dic10—28no—
1153Dic10—44no—
1154C25C22×D511yescharacteristic
1155C2×#41—58no—
1156C2×#41—58no—
1157C2×#41—58no—
1158C2×#41—58no—
1159C2×#41—58no—
1160C2×#41—204no—
1161C2×#41—204no—
1162C2×#41—204no—
1163C2×#41—204no—
1164C2×#41—204no—
1165C22×Q8—51no—
1166C22×Q8—51no—
1167C22×Q8—51no—
1168C22×D4—51no—
1169C22×D4—51no—
1170C22×D4—51no—
1171C22×D4—51no—
1172C22×D4—51no—
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×D4C22×D511yescharacteristic
1190C22×D4C22×D511yescharacteristic
1191C22×D4C22×D511yescharacteristic
1192C22×D4C22×D511yescharacteristic
1193C22×D4C22×D511yescharacteristic
1194C22×D4C22×D511yescharacteristic
1195C22×D4C22×D511yescharacteristic
1196C22×D4C22×D511yescharacteristic
1197C22×D4C22×D511yescharacteristic
1198C22×D4C22×D511yescharacteristic
1199C22×D4C22×D511yescharacteristic
1200C22×D4C22×D511yescharacteristic
1201C23×C4—51no—
1202C23×C4—51no—
1203C23×C4—51no—
1204C23×C4—51no—
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—58no—
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×C4—51no—
1223C23×C4—204no—
1224C23×C4C22×D511yescharacteristic
1225C23×C4C22×D511yescharacteristic
1226C23×C4C22×D511yescharacteristic
1227C4⋊Q8—58no—
1228#127—58no—
1229#127—58no—
1230#127—58no—
1231#127—58no—
1232#127C22×D518yes—
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#126—58no—
1243#126C22×D518yes—
1244#126C22×D518yes—
1245#125—58no—
1246#125—58no—
1247#125—58no—
1248#125—58no—
1249#125—58no—
1250#125—58no—
1251#125—58no—
1252#125—58no—
1253#125—58no—
1254#125—58no—
1255#123—58no—
1256#123—58no—
1257#123—58no—
1258#123—58no—
1259#123—58no—
1260#123—58no—
1261#123—58no—
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#123C22×D518yes—
1279#123C22×D518yes—
1280#123C22×D518yes—
1281C22⋊Q8—58no—
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—
1293#121—58no—
1294#121—58no—
1295#121—58no—
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×D518yes—
1329#121C22×D518yes—
1330#121C22×D518yes—
1331#121C22×D518yes—
1332#121C22×D518yes—
1333#120—58no—
1334#120—58no—
1335#120—58no—
1336#120C22×D518yes—
1337#120C22×D518yes—
1338#120C22×D518yes—
1339C4×Q8—58no—
1340C4×Q8—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×D4—58no—
1357C4×D4—58no—
1358C4×D4—58no—
1359C4×D4—58no—
1360C4×D4—58no—
1361C4×D4—58no—
1362C4×D4—58no—
1363#117—58no—
1364#117—58no—
1365#117—58no—
1366#117—58no—
1367#117—58no—
1368#117—58no—
1369#117—58no—
1370C2×C4⋊C4—51no—
1371C2×C4⋊C4—51no—
1372C2×C4⋊C4—51no—
1373C2×C4⋊C4—51no—
1374C2×C4⋊C4—51no—
1375C2×C4⋊C4—51no—
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—58no—
1390C2×C4⋊C4—58no—
1391C2×C4⋊C4—58no—
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—51no—
1400C2×C4⋊C4—51no—
1401C2×C4⋊C4—51no—
1402C2×C4⋊C4—51no—
1403C2×C4⋊C4—51no—
1404C2×C4⋊C4—51no—
1405C2×C4⋊C4—51no—
1406C2×C4⋊C4—51no—
1407C2×C4⋊C4—51no—
1408C2×C4⋊C4—51no—
1409C2×C4⋊C4—58no—
1410C2×C4⋊C4—58no—
1411C2×C4⋊C4—58no—
1412C2×C4⋊C4C22×D511yescharacteristic
1413C2×C4⋊C4C22×D511yescharacteristic
1414C2×C4⋊C4C22×D511yescharacteristic
1415C2×C4⋊C4C22×D511yescharacteristic
1416C2×C4⋊C4C22×D511yescharacteristic
1417C2×C4⋊C4C22×D511yescharacteristic
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—51no—
1442C2×C22⋊C4—51no—
1443C2×C22⋊C4—51no—
1444C2×C22⋊C4—51no—
1445C2×C22⋊C4—51no—
1446C2×C22⋊C4—51no—
1447C2×C22⋊C4—51no—
1448C2×C22⋊C4C22×D511yescharacteristic
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×C22⋊C4C22×D511yescharacteristic
1459C2×C22⋊C4C22×D511yescharacteristic
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—51no—
1469C2×C42C22×D511yescharacteristic
1470C22×C5—22no—
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—22no—
1487C22×C5—22no—
1488C22×C5—416no—
1489C22×C5—44no—
1490C22×C5—44no—
1491C22×C5—44no—
1492C22×C5—44no—
1493C22×C5—44no—
1494C22×C5—44no—
1495C22×C5C2×H(5,𝔽2)12yes—
1496C22×C5#58512yes—
1497C22×C5#58512yes—
1498C22×C5C2611yescharacteristic
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—
1511C4×C5—22no—
1512C4×C5—22no—
1513C4×C5—22no—
1514C4×C5—22no—
1515C4×C5—22no—
1516C4×C5—22no—
1517C4×C5—22no—
1518C4×C5—22no—
1519C4×C5—22no—
1520Dic5—22no—
1521Dic5—22no—
1522Dic5—22no—
1523Dic5—22no—
1524Dic5—22no—
1525Dic5—22no—
1526Dic5—22no—
1527Dic5—22no—
1528Dic5—22no—
1529Dic5—22no—
1530Dic5—22no—
1531Dic5—22no—
1532Dic5C2×H(5,𝔽2)14yes—
1533C24—42no—
1534C24—42no—
1535C24—42no—
1536C24—51no—
1537C24—51no—
1538C24—51no—
1539C24C23×D511yescharacteristic
1540C24C23×D511yescharacteristic
1541C24C23×D511yescharacteristic
1542C24C23×D511yescharacteristic
1543C24C23×D511yescharacteristic
1544C24C23×D511yescharacteristic
1545C24C23×D514yes—
1546#41—2016no—
1547#41—2016no—
1548#41—2016no—
1549#41—2016no—
1550#41—2016no—
1551C2×Q8—54no—
1552C2×Q8—54no—
1553C2×Q8—54no—
1554C2×Q8—104no—
1555C2×Q8—104no—
1556C2×Q8—202no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—42no—
1560C2×D4—42no—
1561C2×D4—42no—
1562C2×D4—42no—
1563C2×D4—42no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—42no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C2×D4—54no—
1570C2×D4—54no—
1571C2×D4—54no—
1572C2×D4—54no—
1573C2×D4—54no—
1574C2×D4—54no—
1575C2×D4—54no—
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—104no—
1591C2×D4—104no—
1592C2×D4—202no—
1593C2×D4—202no—
1594C2×D4—202no—
1595C2×D4—202no—
1596C2×D4—202no—
1597C2×D4—202no—
1598C2×D4—202no—
1599C2×D4—202no—
1600C2×D4—202no—
1601C2×D4—202no—
1602C2×D4—202no—
1603C2×D4—202no—
1604C2×D4—202no—
1605C2×D4—202no—
1606C2×D4—202no—
1607C2×D4—202no—
1608C2×D4—202no—
1609C2×D4—202no—
1610C2×D4—202no—
1611C2×D4C23×D514yes—
1612C2×D4C23×D514yes—
1613C2×D4C23×D514yes—
1614C2×D4C23×D514yes—
1615C2×D4C23×D514yes—
1616C2×D4C23×D514yes—
1617C2×D4C23×D514yes—
1618C2×D4C23×D514yes—
1619C2×D4C23×D514yes—
1620C2×D4C23×D514yes—
1621C2×D4C23×D514yes—
1622C2×D4C23×D514yes—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—51no—
1627C22×C4—54no—
1628C22×C4—54no—
1629C22×C4—54no—
1630C22×C4—54no—
1631C22×C4—51no—
1632C22×C4—51no—
1633C22×C4—51no—
1634C22×C4—51no—
1635C22×C4—51no—
1636C22×C4—51no—
1637C22×C4—51no—
1638C22×C4—51no—
1639C22×C4—51no—
1640C22×C4—51no—
1641C22×C4—51no—
1642C22×C4—51no—
1643C22×C4—54no—
1644C22×C4—54no—
1645C22×C4—54no—
1646C22×C4—54no—
1647C22×C4—54no—
1648C22×C4—54no—
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—104no—
1661C22×C4—104no—
1662C22×C4—104no—
1663C22×C4—104no—
1664C22×C4—104no—
1665C22×C4—202no—
1666C22×C4—202no—
1667C22×C4—202no—
1668C22×C4—202no—
1669C22×C4—202no—
1670C22×C4—202no—
1671C22×C4—202no—
1672C22×C4—202no—
1673C22×C4—2016no—
1674C22×C4—202no—
1675C22×C4—202no—
1676C22×C4—202no—
1677C22×C4—202no—
1678C22×C4—202no—
1679C22×C4—202no—
1680C22×C4—202no—
1681C22×C4—202no—
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×D511yescharacteristic
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⋊C4—54no—
1725C4⋊C4—54no—
1726C4⋊C4—54no—
1727C4⋊C4—54no—
1728C4⋊C4—54no—
1729C4⋊C4—54no—
1730C4⋊C4C23×D514yes—
1731C4⋊C4C23×D514yes—
1732C4⋊C4C23×D514yes—
1733C4⋊C4C23×D514yes—
1734C4⋊C4C23×D514yes—
1735C4⋊C4C23×D514yes—
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⋊C4—54no—
1765C22⋊C4—54no—
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—
1787C42C23×D514yes—
1788C2×C5—42no—
1789C2×C5—42no—
1790C2×C5—42no—
1791C2×C5—42no—
1792C2×C5—42no—
1793C2×C5—42no—
1794C2×C5#353914yescomplemented
1795C2×C5C22×H(5,𝔽2)11yescharacteristic
1796C2×C5C2×#58511yescharacteristic
1797C2×C5C2×#58511yescharacteristic
1798D5—42no—
1799D5—42no—
1800D5—42no—
1801C23—22no—
1802C23—22no—
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—22no—
1819C23—44no—
1820C23—44no—
1821C23—44no—
1822C23—416no—
1823C23—52no—
1824C23—52no—
1825C23—52no—
1826C23—102no—
1827C23—102no—
1828C23—102no—
1829C23—102no—
1830C23—102no—
1831C23—102no—
1832C23—102no—
1833C23—102no—
1834C23—102no—
1835C23C24×D512yes—
1836C23C24×D512yes—
1837C23C24×D512yes—
1838C23C24×D512yes—
1839C23C24×D512yes—
1840C23C24×D512yes—
1841C23C24×D511yescharacteristic
1842Q8—108no—
1843Q8—108no—
1844Q8—204no—
1845D4—44no—
1846D4—44no—
1847D4—44no—
1848D4—44no—
1849D4—44no—
1850D4—44no—
1851D4—44no—
1852D4—44no—
1853D4—44no—
1854D4—44no—
1855D4—44no—
1856D4—44no—
1857D4—108no—
1858D4—108no—
1859D4—204no—
1860D4—204no—
1861D4—204no—
1862D4—204no—
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—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—44no—
1888C2×C4—44no—
1889C2×C4—44no—
1890C2×C4—54no—
1891C2×C4—52no—
1892C2×C4—52no—
1893C2×C4—52no—
1894C2×C4—52no—
1895C2×C4—52no—
1896C2×C4—52no—
1897C2×C4—52no—
1898C2×C4—52no—
1899C2×C4—52no—
1900C2×C4—52no—
1901C2×C4—52no—
1902C2×C4—52no—
1903C2×C4—52no—
1904C2×C4—108no—
1905C2×C4—108no—
1906C2×C4—108no—
1907C2×C4—108no—
1908C2×C4—108no—
1909C2×C4—102no—
1910C2×C4—102no—
1911C2×C4—102no—
1912C2×C4—102no—
1913C2×C4—102no—
1914C2×C4—102no—
1915C2×C4—102no—
1916C2×C4—102no—
1917C2×C4—102no—
1918C2×C4—102no—
1919C2×C4—102no—
1920C2×C4—102no—
1921C2×C4—204no—
1922C2×C4—204no—
1923C2×C4—204no—
1924C2×C4—204no—
1925C2×C4—204no—
1926C2×C4—204no—
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×C4C24×D512yes—
1938C2×C4C24×D512yes—
1939C2×C4C24×D512yes—
1940C2×C4C24×D512yes—
1941C2×C4C24×D512yes—
1942C2×C4C24×D512yes—
1943C2×C4C24×D512yes—
1944C2×C4C24×D512yes—
1945C2×C4C24×D512yes—
1946C5C2×#353911yescharacteristic, complemented, Sylow
1947C22—22no—
1948C22—22no—
1949C22—22no—
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—416no—
1966C22—44no—
1967C22—44no—
1968C22—44no—
1969C22—44no—
1970C22—44no—
1971C22—44no—
1972C22—102no—
1973C22—102no—
1974C22—102no—
1975C22—102no—
1976C22—102no—
1977C22—102no—
1978C22—102no—
1979C22—102no—
1980C22—102no—
1981C22—204no—
1982C22—204no—
1983C22—204no—
1984C22D5×H(5,𝔽2)12yes—
1985C22#6628512yes—
1986C22#6628512yes—
1987C22C25×D511yescharacteristic
1988C4—22no—
1989C4—22no—
1990C4—22no—
1991C4—22no—
1992C4—22no—
1993C4—22no—
1994C4—22no—
1995C4—22no—
1996C4—22no—
1997C4—54no—
1998C4—102no—
1999C4—102no—
2000C4—102no—
2001C4—102no—
2002C4—102no—
2003C4—102no—
2004C4—102no—
2005C4—102no—
2006C4—102no—
2007C4—102no—
2008C4—102no—
2009C4—102no—
2010C2—42no—
2011C2—42no—
2012C2—42no—
2013C2—42no—
2014C2—42no—
2015C2—42no—
2016C2—202no—
2017C2—202no—
2018C2—202no—
2019C2#1061897314yesdirect product factor
2020C2C2×#6628511yescharacteristic
2021C2C2×#6628511yescharacteristic
2022C2C2×D5×H(5,𝔽2)11yescharacteristic
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×#560C2
socleC23×C5C25
hypercenterC2×#560D5
hypocenterC5C2×#3539
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#560

Complements

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

NH ≅ G/Ntype
1. C2×C5×#560C2semidirect
2. #10618973C2direct (N × H)
3. C2×#66053C2semidirect
4. C2×#66052C2semidirect
5. C2×#66042C2semidirect
6. C2×#66041C2semidirect
7. C2×#66043C2semidirect
8. C2×#66035C2semidirect
9. C2×#65989C2semidirect
10. C2×#65994C2semidirect
11. C2×#65995C2semidirect
12. C2×#65984C2semidirect
13. C2×#65997C2semidirect
14. C2×#65999C2semidirect
15. C2×#65948C2semidirect
16. C2×#65942C2semidirect
17. C2×#65935C2semidirect
18. C2×#65935C2semidirect
19. C2×#65952C2semidirect
20. C2×#65933C2semidirect
21. C2×#65945C2semidirect
22. C2×#65949C2semidirect
23. C2×#65949C2semidirect
24. C2×#65953C2semidirect
25. C2×#65936C2semidirect
26. C2×#65931C2semidirect
27. C2×#65929C2semidirect
28. C2×#65929C2semidirect
29. C2×#65929C2semidirect
30. C2×#65920C2semidirect
31. C2×#65920C2semidirect
32. C2×#65920C2semidirect
37. C22×#711C22semidirect
38. C22×#709C22semidirect
39. C5×#560C22semidirect
61. C2×#4086C22semidirect
74. C2×#4085C22semidirect
75. C2×#4085C22semidirect
76. C2×#4085C22semidirect
77. C2×#4085C22semidirect
84. C2×#4084C22semidirect
85. C2×#4084C22semidirect
92. C2×#4081C22semidirect
93. C2×#4081C22semidirect
100. C2×D4×Dic5C22semidirect
101. C2×D4×Dic5C22semidirect
102. C2×#4076C22semidirect
103. C2×#4075C22semidirect
104. C2×C4×C22⋊D5C22semidirect
105. C2×C4×C22⋊D5C22semidirect
106. C2×C4×C22⋊D5C22semidirect
107. C2×C4×C22⋊D5C22semidirect
108. C2×#4072C22semidirect
109. C22×C4⋊Dic5C22semidirect
110. C2×#4070C22semidirect
111. C22×#683C22semidirect
112. C22×#683C22semidirect
113. #66053C22semidirect
114. #66052C22semidirect
115. #66043C22semidirect
116. #66042C22semidirect
117. #66041C22semidirect
118. #66035C22semidirect
119. #65999C22semidirect
120. #65997C22semidirect
121. #65995C22semidirect
122. #65994C22semidirect
123. #65989C22semidirect
124. #65984C22semidirect
125. #65953C22semidirect
126. #65952C22semidirect
127. #65949C22semidirect
128. #65949C22semidirect
129. #65948C22semidirect
130. #65945C22semidirect
131. #65942C22semidirect
132. #65936C22semidirect
133. #65935C22semidirect
134. #65935C22semidirect
135. #65933C22semidirect
136. #65931C22semidirect
137. #65929C22semidirect
138. #65929C22semidirect
139. #65929C22semidirect
140. #65920C22semidirect
141. #65920C22semidirect
142. #65920C22semidirect
143. C2×#4044C22semidirect
144. C2×#4044C22semidirect
145. C2×#4043C22semidirect
146. C2×#4042C22semidirect
147. C2×#4042C22semidirect
148. C2×#4041C22semidirect
149. C2×#4040C22semidirect
150. C2×#4040C22semidirect
151. C2×#4039C22semidirect
152. C2×#4038C22semidirect
153. C2×D5×C4⋊C4C22semidirect
154. C2×D5×C4⋊C4C22semidirect
155. C2×D5×C4⋊C4C22semidirect
156. C2×#4036C22semidirect
157. C2×#4036C22semidirect
158. C2×#4036C22semidirect
159. C2×#4035C22semidirect
160. C2×#4035C22semidirect
161. C2×#4035C22semidirect
162. C2×#4035C22semidirect
163. C2×#4035C22semidirect
164. C2×#4035C22semidirect
165. C2×#4034C22semidirect
166. C2×#4033C22semidirect
170. C2×#4032C22semidirect
177. C2×#4030C22semidirect
178. C2×#4030C22semidirect
185. C2×#4029C22semidirect
186. C2×#4029C22semidirect
193. C2×#4027C22semidirect
194. C2×#4027C22semidirect
201. C2×#4025C22semidirect
202. C2×#4025C22semidirect
209. C2×#4024C22semidirect
210. C2×#4024C22semidirect
214. C2×#4023C22semidirect
215. C2×C4×D20C22semidirect
216. C2×#4018C22semidirect
217. C2×#4016C22semidirect
218. C2×C4×Dic10C22semidirect
275. C2×#711C23semidirect
277. C2×#709C23semidirect
351. #4086C23semidirect
364. #4085C23semidirect
365. #4085C23semidirect
366. #4085C23semidirect
367. #4085C23semidirect
374. #4084C23semidirect
375. #4084C23semidirect
382. #4081C23semidirect
383. #4081C23semidirect
390. D4×Dic5C23semidirect
391. D4×Dic5C23semidirect
392. #4076C23semidirect
393. #4075C23semidirect
394. C4×C22⋊D5C23semidirect
395. C4×C22⋊D5C23semidirect
396. C4×C22⋊D5C23semidirect
397. C4×C22⋊D5C23semidirect
410. #4072C23semidirect
423. C2×C4⋊Dic5C23semidirect
424. #4070C23semidirect
449. C2×#683C23semidirect
450. C2×#683C23semidirect
460. #4044C23semidirect
461. #4044C23semidirect
462. #4043C23semidirect
463. #4042C23semidirect
464. #4042C23semidirect
465. #4041C23semidirect
466. #4040C23semidirect
467. #4040C23semidirect
468. #4039C23semidirect
469. #4038C23semidirect
470. D5×C4⋊C4C23semidirect
471. D5×C4⋊C4C23semidirect
472. D5×C4⋊C4C23semidirect
473. #4036C23semidirect
474. #4036C23semidirect
475. #4036C23semidirect
476. #4035C23semidirect
477. #4035C23semidirect
478. #4035C23semidirect
479. #4035C23semidirect
480. #4035C23semidirect
481. #4035C23semidirect
482. #4034C23semidirect
483. #4033C23semidirect
487. #4032C23semidirect
494. #4030C23semidirect
495. #4030C23semidirect
502. #4029C23semidirect
503. #4029C23semidirect
510. #4027C23semidirect
511. #4027C23semidirect
518. #4025C23semidirect
519. #4025C23semidirect
526. #4024C23semidirect
527. #4024C23semidirect
531. #4023C23semidirect
532. C4×D20C23semidirect
533. #4018C23semidirect
534. #4016C23semidirect
535. C4×Dic10C23semidirect
540. C2×#560D5semidirect
832. #560C2×D5semidirect
1794. C2×C5#3539semidirect
1946. C5C2×#3539semidirect
2019. C2#10618973direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5602
#106189732
C2×#660532
C2×#660522
C2×#660422
C2×#660412
C2×#660432
C2×#660352
C2×#659892
C2×#659942
C2×#659952
C2×#659842
C2×#659972
C2×#659992
C2×#659482
C2×#659422
C2×#659352
C2×#659522
C2×#659332
C2×#659452
C2×#659492
C2×#659532
C2×#659362
C2×#659312
C2×#659292
C2×#659202
C2×#35395