Finite Group Databasebeta

← C2×#10618358 #13006568

Subgroups — C2×#10618358 #13006568

Order 1280.

7430 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#539C211yesmaximal, characteristic, complemented
2#10618358C2132yesmaximal, direct product factor
3C2×#66039C211yesmaximal, characteristic, complemented
4C2×#66039C211yesmaximal, characteristic, complemented
5C2×#66038C211yesmaximal, characteristic, complemented
6C2×#66044C211yesmaximal, characteristic, complemented
7C2×#66034C211yesmaximal, characteristic, complemented
8C2×#66029C211yesmaximal, characteristic, complemented
9C2×#66028C211yesmaximal, characteristic, complemented
10C2×#66027C211yesmaximal, characteristic, complemented
11C2×#66000C211yesmaximal, characteristic, complemented
12C2×#65993C211yesmaximal, characteristic, complemented
13C2×#65994C211yesmaximal, characteristic, complemented
14C2×#65991C211yesmaximal, characteristic, complemented
15C2×#65991C211yesmaximal, characteristic, complemented
16C2×#65987C211yesmaximal, characteristic, complemented
17C2×D5×#123C211yesmaximal, characteristic, complemented
18C2×#65997C211yesmaximal, characteristic, complemented
19C2×#65981C211yesmaximal, characteristic, complemented
20C2×#65965C211yesmaximal, characteristic, complemented
21C2×#65964C211yesmaximal, characteristic, complemented
22C2×#65980C211yesmaximal, characteristic, complemented
23C2×#65974C211yesmaximal, characteristic, complemented
24C2×#65961C211yesmaximal, characteristic, complemented
25C2×#65947C211yesmaximal, characteristic, complemented
26C2×#65941C211yesmaximal, characteristic, complemented
27C2×#65884C211yesmaximal, characteristic, complemented
28C2×#65896C211yesmaximal, characteristic, complemented
29C2×#65881C211yesmaximal, characteristic, complemented
30C2×#65893C211yesmaximal, characteristic, complemented
31C2×#65848C211yesmaximal, characteristic, complemented
32C2×#65841C211yesmaximal, characteristic, complemented
33C22×#713C2211yescharacteristic
34C22×D4×D5C2211yescharacteristic
35C22×#709C2211yescharacteristic
36C22×#709C2211yescharacteristic, complemented
37C23×D20C2211yescharacteristic
38C23×C4×D5C2211yescharacteristic, complemented
39C5×#539C22116yescomplemented
40C2×C5×#126C2211yescharacteristic, complemented
41C2×C5×#126C2211yescharacteristic, complemented
42C2×C5×#125C2211yescharacteristic, complemented
43C2×C5×#125C2211yescharacteristic, complemented
44C2×C5×#123C2211yescharacteristic
45C2×C5×#123C2211yescharacteristic
46C2×C5×#123C2211yescharacteristic, complemented
47C2×C5×#123C2211yescharacteristic, complemented
48C2×C5×C22⋊Q8C2211yescharacteristic, complemented
49C2×C5×C22⋊Q8C2211yescharacteristic, complemented
50C2×C5×C22⋊Q8C2211yescharacteristic, complemented
51C2×C5×#121C2211yescharacteristic
52C2×C4×C5×D4C2211yescharacteristic, complemented
53C2×C4×C5×D4C2211yescharacteristic, complemented
54C22×C5×C4⋊C4C2211yescharacteristic, complemented
55C2×#4093C2211yescharacteristic, complemented
56C2×#4092C2211yescharacteristic, complemented
57C2×#4090C2211yescharacteristic, complemented
58C2×#4086C2211yescharacteristic
59C2×#4086C2211yescharacteristic, complemented
60C2×#4085C2211yescharacteristic, complemented
61C2×#4084C2211yescharacteristic
62C2×#4084C2211yescharacteristic, complemented
63C2×#4083C2211yescharacteristic
64C2×#4083C2211yescharacteristic
65C2×#4083C2211yescharacteristic, complemented
66C2×#4083C2211yescharacteristic, complemented
67C2×#4082C2211yescharacteristic, complemented
68C2×#4081C2211yescharacteristic
69C2×#4076C2211yescharacteristic, complemented
70C2×#4076C2211yescharacteristic, complemented
71C2×#4076C2211yescharacteristic, complemented
72C2×#4076C2211yescharacteristic, complemented
73C2×#4076C2211yescharacteristic, complemented
74C2×#4075C2211yescharacteristic
75C2×#4075C2211yescharacteristic, complemented
76C2×#4075C2211yescharacteristic, complemented
77C2×#4075C2211yescharacteristic, complemented
78C2×C4×C22⋊D5C2211yescharacteristic, complemented
79C2×C4×C22⋊D5C2211yescharacteristic, complemented
80C2×C4×C22⋊D5C2211yescharacteristic, complemented
81C2×C4×C22⋊D5C2211yescharacteristic, complemented
82C2×C4×C22⋊D5C2211yescharacteristic, complemented
83C2×C4×C22⋊D5C2211yescharacteristic, complemented
84C2×#4070C2211yescharacteristic, complemented
85#66044C22116yescomplemented
86#66039C22116yescomplemented
87#66039C22116yescomplemented
88#66038C22116yescomplemented
89#66034C22116yescomplemented
90#66029C22116yescomplemented
91#66028C22116yescomplemented
92#66027C22116yescomplemented
93#66000C22116yescomplemented
94#65997C22116yescomplemented
95#65994C22116yescomplemented
96#65993C22116yescomplemented
97#65991C22116yescomplemented
98#65991C22116yescomplemented
99#65987C22116yescomplemented
100D5×#123C22116yescomplemented
101#65981C22116yescomplemented
102#65980C22116yescomplemented
103#65974C22116yescomplemented
104#65965C22116yescomplemented
105#65964C22116yescomplemented
106#65961C22116yescomplemented
107#65947C22116yescomplemented
108#65941C22116yescomplemented
109#65896C22116yescomplemented
110#65893C22116yescomplemented
111#65884C22116yescomplemented
112#65881C22116yescomplemented
113#65848C22116yescomplemented
114C2×#4044C2211yescharacteristic, complemented
115C2×#4044C2211yescharacteristic, complemented
116C2×#4044C2211yescharacteristic, complemented
117C2×#4044C2211yescharacteristic, complemented
118C2×#4044C2211yescharacteristic, complemented
119C2×#4044C2211yescharacteristic, complemented
120C2×#4043C2211yescharacteristic, complemented
121C2×#4043C2211yescharacteristic, complemented
122C2×#4043C2211yescharacteristic, complemented
123C2×#4042C2211yescharacteristic, complemented
124C2×#4042C2211yescharacteristic, complemented
125C2×#4042C2211yescharacteristic, complemented
126C2×#4042C2211yescharacteristic, complemented
127C2×#4042C2211yescharacteristic, complemented
128C2×#4042C2211yescharacteristic, complemented
129C2×#4042C2211yescharacteristic, complemented
130#65841C22116yescomplemented
131C2×#4041C2211yescharacteristic
132C2×#4041C2211yescharacteristic
133C2×#4041C2211yescharacteristic
134C2×#4041C2211yescharacteristic, complemented
135C2×#4041C2211yescharacteristic, complemented
136C2×#4041C2211yescharacteristic, complemented
137C2×#4041C2211yescharacteristic, complemented
138C2×#4041C2211yescharacteristic, complemented
139C2×#4040C2211yescharacteristic
140C2×#4040C2211yescharacteristic
141C2×#4040C2211yescharacteristic
142C2×#4040C2211yescharacteristic
143C2×#4040C2211yescharacteristic, complemented
144C2×#4040C2211yescharacteristic, complemented
145C2×#4040C2211yescharacteristic, complemented
146C2×#4040C2211yescharacteristic, complemented
147C2×#4040C2211yescharacteristic, complemented
148C2×#4040C2211yescharacteristic, complemented
149C2×#4040C2211yescharacteristic, complemented
150C2×#4040C2211yescharacteristic, complemented
151C2×#4040C2211yescharacteristic, complemented
152C2×#4039C2211yescharacteristic
153C2×#4039C2211yescharacteristic, complemented
154C2×#4039C2211yescharacteristic, complemented
155C2×#4039C2211yescharacteristic, complemented
156C2×#4039C2211yescharacteristic, complemented
157C2×#4038C2211yescharacteristic, complemented
158C2×#4038C2211yescharacteristic, complemented
159C2×#4038C2211yescharacteristic, complemented
160C2×#4038C2211yescharacteristic, complemented
161C2×#4038C2211yescharacteristic, complemented
162C2×D5×C4⋊C4C2211yescharacteristic, complemented
163C2×D5×C4⋊C4C2211yescharacteristic, complemented
164C2×D5×C4⋊C4C2211yescharacteristic, complemented
165C2×#4036C2211yescharacteristic, complemented
166C2×#4036C2211yescharacteristic, complemented
167C2×#4035C2211yescharacteristic, complemented
168C2×#4035C2211yescharacteristic, complemented
169C2×#4034C2211yescharacteristic, complemented
170C2×#4033C2211yescharacteristic, complemented
171C2×#4032C2211yescharacteristic, complemented
172C2×#4031C2211yescharacteristic
173C2×#4031C2211yescharacteristic, complemented
174C2×#4031C2211yescharacteristic, complemented
175C2×#4031C2211yescharacteristic, complemented
176C2×#4031C2211yescharacteristic, complemented
177C2×#4031C2211yescharacteristic, complemented
178C2×#4030C2211yescharacteristic
179C2×#4030C2211yescharacteristic
180C2×#4030C2211yescharacteristic
181C2×#4030C2211yescharacteristic, complemented
182C2×#4030C2211yescharacteristic, complemented
183C2×#4030C2211yescharacteristic, complemented
184C2×#4030C2211yescharacteristic, complemented
185C2×#4029C2211yescharacteristic
186C2×#4029C2211yescharacteristic
187C2×#4029C2211yescharacteristic, complemented
188C2×#4029C2211yescharacteristic, complemented
189C2×#4029C2211yescharacteristic, complemented
190C2×#4029C2211yescharacteristic, complemented
191C2×#4029C2211yescharacteristic, complemented
192C2×#4028C2211yescharacteristic
193C2×#4028C2211yescharacteristic
194C2×#4028C2211yescharacteristic
195C2×#4028C2211yescharacteristic
196C2×#4028C2211yescharacteristic, complemented
197C2×#4028C2211yescharacteristic, complemented
198C2×#4027C2211yescharacteristic, complemented
199C2×#4027C2211yescharacteristic, complemented
200C2×D5×C22⋊C4C2211yescharacteristic
201C2×D5×C22⋊C4C2211yescharacteristic
202C2×D5×C22⋊C4C2211yescharacteristic
203C2×D5×C22⋊C4C2211yescharacteristic, complemented
204C2×D5×C22⋊C4C2211yescharacteristic, complemented
205C2×D5×C22⋊C4C2211yescharacteristic, complemented
206C2×#4025C2211yescharacteristic, complemented
207C2×#4025C2211yescharacteristic, complemented
208C2×#4025C2211yescharacteristic, complemented
209C2×#4025C2211yescharacteristic, complemented
210C2×#4024C2211yescharacteristic, complemented
211C2×#4021C2211yescharacteristic, complemented
212C2×#4021C2211yescharacteristic, complemented
213C2×C4×D20C2211yescharacteristic
214C2×C4×D20C2211yescharacteristic, complemented
215C2×C4×D20C2211yescharacteristic, complemented
216C2×#4018C2211yescharacteristic, complemented
217C2×#4018C2211yescharacteristic, complemented
218C2×C4×Dic10C2211yescharacteristic, complemented
219C2×#3533—51nomaximal, Sylow
220C24×D5C2311yescharacteristic
221C24×D5C2311yescharacteristic
222C24×D5C2311yescharacteristic
223C22×C5×Q8C2311yescharacteristic
224C22×C5×D4C2311yescharacteristic
225C22×C5×D4C2311yescharacteristic
226C22×C5×D4C2311yescharacteristic
227C23×C4×C5C2311yescharacteristic
228C23×C4×C5C2311yescharacteristic
229C23×C4×C5C2311yescharacteristic
230C23×C4×C5C2311yescharacteristic
231C23×C4×C5C2311yescharacteristic
232C22×C22⋊D5C2311yescharacteristic
233C22×C22⋊D5C2311yescharacteristic
234C22×C22⋊D5C2311yescharacteristic
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
244C23×Dic5C2311yescharacteristic
245C2×#713—44no—
246C2×#713C2318yes—
247C2×D4×D5—44no—
248C2×D4×D5C2318yes—
249C2×#709—44no—
250C2×#709—44no—
251C2×#709C2318yes—
252C2×#709C2318yescomplemented
253C22×D20—44no—
254C22×D20C2311yescharacteristic
255C22×D20C2311yescharacteristic
256C22×D20C2311yescharacteristic
257C22×D20C2311yescharacteristic
258C22×D20C2311yescharacteristic
259C22×D20C2311yescharacteristic
260C22×D20C2311yescharacteristic
261C22×D20C2311yescharacteristic
262C22×D20C2311yescharacteristic
263C22×D20C2311yescharacteristic
264C22×D20C2311yescharacteristic
265C22×D20C2311yescharacteristic
266C22×D20C2318yes—
267C22×C4×D5—44no—
268C22×C4×D5C2311yescharacteristic
269C22×C4×D5C2311yescharacteristic
270C22×C4×D5C2311yescharacteristic
271C22×C4×D5C2311yescharacteristic
272C22×C4×D5C2311yescharacteristic
273C22×C4×D5C2311yescharacteristic
274C22×C4×D5C2311yescharacteristic
275C22×C4×D5C2311yescharacteristic
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×D5C2318yescomplemented
285C22×Dic10C2311yescharacteristic
286C22×Dic10C2311yescharacteristic
287C22×Dic10C2311yescharacteristic
288C22×Dic10C2311yescharacteristic
289C5×#126C2318yescomplemented
290C5×#126C2318yescomplemented
291C5×#125C2318yescomplemented
292C5×#125C2318yescomplemented
293C5×#123C2318yes—
294C5×#123C2318yes—
295C5×#123C2318yescomplemented
296C5×#123C2318yescomplemented
297C5×C22⋊Q8C2318yescomplemented
298C5×C22⋊Q8C2318yescomplemented
299C5×C22⋊Q8C2318yescomplemented
300C5×#121C2318yes—
301C4×C5×D4C2318yescomplemented
302C4×C5×D4C2318yescomplemented
303C2×C5×C4⋊C4C2311yescharacteristic
304C2×C5×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
312C2×C5×C4⋊C4C2311yescharacteristic
313C2×C5×C4⋊C4C2311yescharacteristic
314C2×C5×C4⋊C4C2311yescharacteristic
315C2×C5×C4⋊C4C2311yescharacteristic
316C2×C5×C4⋊C4C2311yescharacteristic
317C2×C5×C4⋊C4C2318yescomplemented
318C2×C5×C22⋊C4C2311yescharacteristic
319C2×C5×C22⋊C4C2311yescharacteristic
320C2×C5×C22⋊C4C2311yescharacteristic
321C2×C5×C22⋊C4C2311yescharacteristic
322C2×C5×C22⋊C4C2311yescharacteristic
323C2×C5×C22⋊C4C2311yescharacteristic
324C2×C5×C22⋊C4C2311yescharacteristic
325C2×C5×C22⋊C4C2311yescharacteristic
326C2×C5×C22⋊C4C2311yescharacteristic
327C2×C5×C22⋊C4C2311yescharacteristic
328C2×C42×C5C2311yescharacteristic
329C2×C42×C5C2311yescharacteristic
330C2×C22⋊Dic5C2311yescharacteristic
331C2×C22⋊Dic5C2311yescharacteristic
332C2×C22⋊Dic5C2311yescharacteristic
333C2×C22⋊Dic5C2311yescharacteristic
334C2×C22⋊Dic5C2311yescharacteristic
335C2×C22⋊Dic5C2311yescharacteristic
336C2×C22⋊Dic5C2311yescharacteristic
337C2×C22⋊Dic5C2311yescharacteristic
338#4093C2318yescomplemented
339#4092C2318yescomplemented
340#4090C2318yescomplemented
341#4086C2318yes—
342#4086C2318yescomplemented
343#4085C2318yescomplemented
344#4084C2318yes—
345#4084C2318yescomplemented
346#4083C2318yes—
347#4083C2318yes—
348#4083C2318yescomplemented
349#4083C2318yescomplemented
350#4082C2318yescomplemented
351#4081C2318yes—
352#4076C2318yescomplemented
353#4076C2318yescomplemented
354#4076C2318yescomplemented
355#4076C2318yescomplemented
356#4076C2318yescomplemented
357#4075C2318yes—
358#4075C2318yescomplemented
359#4075C2318yescomplemented
360#4075C2318yescomplemented
361C4×C22⋊D5C2318yescomplemented
362C4×C22⋊D5C2318yescomplemented
363C4×C22⋊D5C2318yescomplemented
364C4×C22⋊D5C2318yescomplemented
365C4×C22⋊D5C2318yescomplemented
366C4×C22⋊D5C2318yescomplemented
367C2×#685C2311yescharacteristic
368C2×#685C2311yescharacteristic
369C2×#685C2311yescharacteristic
370C2×#685C2311yescharacteristic
371C2×#685C2311yescharacteristic
372C2×#685C2311yescharacteristic
373C2×#685C2311yescharacteristic
374C2×#685C2311yescharacteristic
375C2×#685C2311yescharacteristic
376C2×#685C2311yescharacteristic
377C2×#685C2311yescharacteristic
378C2×#685C2311yescharacteristic
379C2×#685C2311yescharacteristic
380C2×#685C2311yescharacteristic
381C2×#685C2311yescharacteristic
382C2×#685C2311yescharacteristic
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×C4⋊Dic5C2311yescharacteristic
400C2×C4⋊Dic5C2311yescharacteristic
401C2×C4⋊Dic5C2311yescharacteristic
402C2×C4⋊Dic5C2311yescharacteristic
403C2×C4⋊Dic5C2311yescharacteristic
404C2×C4⋊Dic5C2311yescharacteristic
405C2×C4⋊Dic5C2311yescharacteristic
406C2×C4⋊Dic5C2311yescharacteristic
407#4070C2318yescomplemented
408C2×#683C2311yescharacteristic
409C2×#683C2311yescharacteristic
410C2×#683C2311yescharacteristic
411C2×#683C2311yescharacteristic
412C2×#683C2311yescharacteristic
413C2×#683C2311yescharacteristic
414C2×#683C2311yescharacteristic
415C2×#683C2311yescharacteristic
416C2×#683C2311yescharacteristic
417C2×#683C2311yescharacteristic
418C2×#683C2311yescharacteristic
419C2×#683C2311yescharacteristic
420C2×#683C2311yescharacteristic
421C2×#683C2311yescharacteristic
422C2×#683C2311yescharacteristic
423C2×#683C2311yescharacteristic
424C2×C4×Dic5C2311yescharacteristic
425C2×C4×Dic5C2311yescharacteristic
426C2×C4×Dic5C2311yescharacteristic
427C2×C4×Dic5C2311yescharacteristic
428C2×C4×Dic5C2311yescharacteristic
429C2×C4×Dic5C2311yescharacteristic
430C2×C4×Dic5C2311yescharacteristic
431C2×C4×Dic5C2311yescharacteristic
432#4044C2318yescomplemented
433#4044C2318yescomplemented
434#4044C2318yescomplemented
435#4044C2318yescomplemented
436#4044C2318yescomplemented
437#4044C2318yescomplemented
438#4043C2318yescomplemented
439#4043C2318yescomplemented
440#4043C2318yescomplemented
441#4042C2318yescomplemented
442#4042C2318yescomplemented
443#4042C2318yescomplemented
444#4042C2318yescomplemented
445#4042C2318yescomplemented
446#4042C2318yescomplemented
447#4042C2318yescomplemented
448#4041C2318yes—
449#4041C2318yes—
450#4041C2318yes—
451#4041C2318yescomplemented
452#4041C2318yescomplemented
453#4041C2318yescomplemented
454#4041C2318yescomplemented
455#4041C2318yescomplemented
456#4040C2318yes—
457#4040C2318yes—
458#4040C2318yes—
459#4040C2318yes—
460#4040C2318yescomplemented
461#4040C2318yescomplemented
462#4040C2318yescomplemented
463#4040C2318yescomplemented
464#4040C2318yescomplemented
465#4040C2318yescomplemented
466#4040C2318yescomplemented
467#4040C2318yescomplemented
468#4040C2318yescomplemented
469#4039C2318yes—
470#4039C2318yescomplemented
471#4039C2318yescomplemented
472#4039C2318yescomplemented
473#4039C2318yescomplemented
474#4038C2318yescomplemented
475#4038C2318yescomplemented
476#4038C2318yescomplemented
477#4038C2318yescomplemented
478#4038C2318yescomplemented
479D5×C4⋊C4C2318yescomplemented
480D5×C4⋊C4C2318yescomplemented
481D5×C4⋊C4C2318yescomplemented
482#4036C2318yescomplemented
483#4036C2318yescomplemented
484#4035C2318yescomplemented
485#4035C2318yescomplemented
486#4034C2318yescomplemented
487#4033C2318yescomplemented
488#4032C2318yescomplemented
489#4031C2318yes—
490#4031C2318yescomplemented
491#4031C2318yescomplemented
492#4031C2318yescomplemented
493#4031C2318yescomplemented
494#4031C2318yescomplemented
495#4030C2318yes—
496#4030C2318yes—
497#4030C2318yes—
498#4030C2318yescomplemented
499#4030C2318yescomplemented
500#4030C2318yescomplemented
501#4030C2318yescomplemented
502#4029C2318yes—
503#4029C2318yes—
504#4029C2318yescomplemented
505#4029C2318yescomplemented
506#4029C2318yescomplemented
507#4029C2318yescomplemented
508#4029C2318yescomplemented
509#4028C2318yes—
510#4028C2318yes—
511#4028C2318yes—
512#4028C2318yes—
513#4028C2318yescomplemented
514#4028C2318yescomplemented
515#4027C2318yescomplemented
516#4027C2318yescomplemented
517D5×C22⋊C4C2318yes—
518D5×C22⋊C4C2318yes—
519D5×C22⋊C4C2318yes—
520D5×C22⋊C4C2318yescomplemented
521D5×C22⋊C4C2318yescomplemented
522D5×C22⋊C4C2318yescomplemented
523#4025C2318yescomplemented
524#4025C2318yescomplemented
525#4025C2318yescomplemented
526#4025C2318yescomplemented
527#4024C2318yescomplemented
528#4021C2318yescomplemented
529#4021C2318yescomplemented
530C4×D20C2318yes—
531C4×D20C2318yescomplemented
532C4×D20C2318yescomplemented
533#4018C2318yescomplemented
534#4018C2318yescomplemented
535C4×Dic10C2318yescomplemented
536#3533—532no—
537C2×#563—51no—
538C2×#562—51no—
539C2×#562—51no—
540C2×#560—51no—
541C2×#559—51no—
542C2×#553—51no—
543C2×#553—51no—
544C2×#552—51no—
545C2×#552—51no—
546C2×#551—51no—
547C2×#551—51no—
548C2×#551—51no—
549C2×#547—51no—
550C2×#547—51no—
551C2×#546—51no—
552C2×#546—51no—
553C2×#542—51no—
554C2×#542—51no—
555C2×#540—51no—
556C2×#540—51no—
557C2×#539—51no—
558C2×#539D511yescharacteristic, complemented
559C2×#538—51no—
560C2×#538—51no—
561C2×#538—51no—
562C2×#538—51no—
563C2×#535—51no—
564C2×#534—51no—
565C2×#525—51no—
566C2×#525—51no—
567C22×#123—51no—
568C24×C5C2411yescharacteristic
569C24×C5C2411yescharacteristic
570C24×C5C2411yescharacteristic
571C23×D5—24no—
572C23×D5—24no—
573C23×D5—42no—
574C23×D5—42no—
575C23×D5—42no—
576C23×D5—42no—
577C23×D5—42no—
578C23×D5—42no—
579C23×D5—42no—
580C23×D5C2411yescharacteristic
581C23×D5C2411yescharacteristic
582C23×D5C2411yescharacteristic
583C23×D5C2411yescharacteristic
584C23×D5C2411yescharacteristic
585C23×D5C2411yescharacteristic
586C23×D5C2414yes—
587C23×D5C2414yes—
588C23×D5C2414yes—
589C2×C5×Q8—42no—
590C2×C5×Q8C2414yes—
591C2×C5×D4—42no—
592C2×C5×D4—42no—
593C2×C5×D4—42no—
594C2×C5×D4C2414yes—
595C2×C5×D4C2414yes—
596C2×C5×D4C2414yes—
597C22×C4×C5—42no—
598C22×C4×C5—42no—
599C22×C4×C5—42no—
600C22×C4×C5—42no—
601C22×C4×C5—42no—
602C22×C4×C5C2411yescharacteristic
603C22×C4×C5C2411yescharacteristic
604C22×C4×C5C2411yescharacteristic
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×C5C2414yes—
615C22×C4×C5C2414yes—
616C22×C4×C5C2414yes—
617C22×C4×C5C2414yes—
618C22×C4×C5C2414yes—
619C2×C22⋊D5—24no—
620C2×C22⋊D5—42no—
621C2×C22⋊D5—42no—
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⋊D5C2414yes—
632C2×C22⋊D5C2414yes—
633C2×C22⋊D5C2414yes—
634C2×C22⋊D5C2414yes—
635C2×C22⋊D5C2414yes—
636C2×C22⋊D5C2414yes—
637C2×C22⋊D5C2414yes—
638C2×C22⋊D5C2414yes—
639C2×C22⋊D5C2414yes—
640C2×C22⋊D5C2414yes—
641C2×C22⋊D5C2414yes—
642C2×C22⋊D5C2414yes—
643C22×Dic5—42no—
644C22×Dic5C2411yescharacteristic
645C22×Dic5C2411yescharacteristic
646C22×Dic5C2411yescharacteristic
647C22×Dic5C2411yescharacteristic
648C22×Dic5C2411yescharacteristic
649C22×Dic5C2411yescharacteristic
650C22×Dic5C2411yescharacteristic
651C22×Dic5C2411yescharacteristic
652C22×Dic5C2411yescharacteristic
653C22×Dic5C2411yescharacteristic
654C22×Dic5C2414yes—
655#713—416no—
656D4×D5—416no—
657#709—416no—
658#709—416no—
659C2×D20—24no—
660C2×D20—24no—
661C2×D20—24no—
662C2×D20—416no—
663C2×D20—42no—
664C2×D20—42no—
665C2×D20—42no—
666C2×D20—42no—
667C2×D20—42no—
668C2×D20—42no—
669C2×D20—42no—
670C2×D20—42no—
671C2×D20—42no—
672C2×D20C2414yes—
673C2×D20C2414yes—
674C2×D20C2414yes—
675C2×D20C2414yes—
676C2×D20C2414yes—
677C2×D20C2414yes—
678C2×D20C2414yes—
679C2×D20C2414yes—
680C2×D20C2414yes—
681C2×D20C2414yes—
682C2×D20C2414yes—
683C2×D20C2414yes—
684C2×C4×D5—24no—
685C2×C4×D5—24no—
686C2×C4×D5—24no—
687C2×C4×D5—416no—
688C2×C4×D5—42no—
689C2×C4×D5—42no—
690C2×C4×D5—42no—
691C2×C4×D5—42no—
692C2×C4×D5—42no—
693C2×C4×D5—42no—
694C2×C4×D5—42no—
695C2×C4×D5—42no—
696C2×C4×D5—42no—
697C2×C4×D5—42no—
698C2×C4×D5—42no—
699C2×C4×D5—42no—
700C2×C4×D5—42no—
701C2×C4×D5C2414yes—
702C2×C4×D5C2414yes—
703C2×C4×D5C2414yes—
704C2×C4×D5C2414yes—
705C2×C4×D5C2414yes—
706C2×C4×D5C2414yes—
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—42no—
718C2×Dic10—42no—
719C2×Dic10—42no—
720C2×Dic10—42no—
721C2×Dic10C2414yes—
722C2×Dic10C2414yes—
723C2×Dic10C2414yes—
724C2×Dic10C2414yes—
725C5×C4⋊C4C2414yes—
726C5×C4⋊C4C2414yes—
727C5×C4⋊C4C2414yes—
728C5×C4⋊C4C2414yes—
729C5×C4⋊C4C2414yes—
730C5×C4⋊C4C2414yes—
731C5×C4⋊C4C2414yes—
732C5×C4⋊C4C2414yes—
733C5×C4⋊C4C2414yes—
734C5×C4⋊C4C2414yes—
735C5×C4⋊C4C2414yes—
736C5×C4⋊C4C2414yes—
737C5×C4⋊C4C2414yes—
738C5×C4⋊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—
747C5×C22⋊C4C2414yes—
748C5×C22⋊C4C2414yes—
749C42×C5C2414yes—
750C42×C5C2414yes—
751C22⋊Dic5C2414yes—
752C22⋊Dic5C2414yes—
753C22⋊Dic5C2414yes—
754C22⋊Dic5C2414yes—
755C22⋊Dic5C2414yes—
756C22⋊Dic5C2414yes—
757C22⋊Dic5C2414yes—
758C22⋊Dic5C2414yes—
759#685C2414yes—
760#685C2414yes—
761#685C2414yes—
762#685C2414yes—
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—
783#685C2414yes—
784#685C2414yes—
785#685C2414yes—
786#685C2414yes—
787#685C2414yes—
788#685C2414yes—
789#685C2414yes—
790#685C2414yes—
791C4⋊Dic5C2414yes—
792C4⋊Dic5C2414yes—
793C4⋊Dic5C2414yes—
794C4⋊Dic5C2414yes—
795C4⋊Dic5C2414yes—
796C4⋊Dic5C2414yes—
797C4⋊Dic5C2414yes—
798C4⋊Dic5C2414yes—
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—
814#683C2414yes—
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—
826C23×D4—51no—
827C23×D4—51no—
828C24×C4—51no—
829#563—516no—
830#562—516no—
831#562—516no—
832#560—516no—
833#559—516no—
834#553—516no—
835#553—516no—
836#552—516no—
837#552—516no—
838#551—516no—
839#551—516no—
840#551—516no—
841#547—516no—
842#547—516no—
843#546—516no—
844#546—516no—
845#542—516no—
846#542—516no—
847#540—516no—
848#540—516no—
849#539—516no—
850#539C2×D5116yescomplemented
851#538—516no—
852#538—516no—
853#538—516no—
854#538—516no—
855#535—516no—
856#534—516no—
857C2×C4⋊Q8—51no—
858C2×C4⋊Q8—51no—
859C2×#127—51no—
860C2×#127—51no—
861C2×#126—51no—
862C2×#126—51no—
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×#126C2×D511yescharacteristic, complemented
872C2×#126C2×D511yescharacteristic, complemented
873C2×#125—51no—
874C2×#125—51no—
875C2×#125—51no—
876C2×#125—51no—
877C2×#125C2×D511yescharacteristic, complemented
878C2×#125C2×D511yescharacteristic, complemented
879C2×#124—51no—
880C2×#124—51no—
881C2×#124—51no—
882C2×#124—51no—
883C2×#124—51no—
884C2×#124—51no—
885C2×#124—51no—
886C2×#124—51no—
887C2×#124—51no—
888C2×#124—51no—
889#525—516no—
890#525—516no—
891C2×#123—51no—
892C2×#123—51no—
893C2×#123—51no—
894C2×#123—51no—
895C2×#123—51no—
896C2×#123—516no—
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×#123—51no—
915C2×#123—51no—
916C2×#123—51no—
917C2×#123—51no—
918C2×#123C2×D511yescharacteristic
919C2×#123C2×D511yescharacteristic
920C2×#123C2×D511yescharacteristic, complemented
921C2×#123C2×D511yescharacteristic, complemented
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⋊Q8—51no—
930C2×C22⋊Q8—51no—
931C2×C22⋊Q8—51no—
932C2×C22⋊Q8—51no—
933C2×C22⋊Q8—51no—
934C2×C22⋊Q8—51no—
935C2×C22⋊Q8C2×D511yescharacteristic, complemented
936C2×C22⋊Q8C2×D511yescharacteristic, complemented
937C2×C22⋊Q8C2×D511yescharacteristic, complemented
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×#120—51no—
963C2×#120—51no—
964C2×#120—51no—
965C2×#120—51no—
966C2×#120—51no—
967C2×#120—51no—
968C2×#120—51no—
969C2×#120—51no—
970C2×#120—51no—
971C2×#120—51no—
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—
999C22×C4⋊C4—51no—
1000C22×C4⋊C4—51no—
1001C22×C4⋊C4—51no—
1002C22×C4⋊C4C2×D511yescharacteristic, complemented
1003C22×C22⋊C4—51no—
1004C22×C22⋊C4—51no—
1005C22×C22⋊C4—51no—
1006C22×C22⋊C4—51no—
1007C22×C22⋊C4—51no—
1008C22×C22⋊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×C5C2512yes—
1019C23×C5C2512yes—
1020C23×C5C2512yes—
1021C23×C5C2511yescharacteristic
1022C22×D5—22no—
1023C22×D5—22no—
1024C22×D5—22no—
1025C22×D5—22no—
1026C22×D5—22no—
1027C22×D5—22no—
1028C22×D5—22no—
1029C22×D5—22no—
1030C22×D5—22no—
1031C22×D5—22no—
1032C22×D5—22no—
1033C22×D5—22no—
1034C22×D5—22no—
1035C22×D5—22no—
1036C22×D5—22no—
1037C22×D5—22no—
1038C22×D5—22no—
1039C22×D5—28no—
1040C22×D5—28no—
1041C22×D5—44no—
1042C22×D5—44no—
1043C22×D5—44no—
1044C22×D5—44no—
1045C22×D5—44no—
1046C22×D5—44no—
1047C22×D5—44no—
1048C22×D5—416no—
1049C22×D5—88no—
1050C22×D5—88no—
1051C22×D5H(5,𝔽2)14yes—
1052C22×D5C2512yes—
1053C22×D5C2512yes—
1054C22×D5C2512yes—
1055C22×D5C2512yes—
1056C22×D5C2512yes—
1057C22×D5C2512yes—
1058C5×Q8—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—22no—
1073C2×C4×C5—22no—
1074C2×C4×C5—44no—
1075C2×C4×C5—44no—
1076C2×C4×C5—44no—
1077C2×C4×C5—44no—
1078C2×C4×C5—44no—
1079C2×C4×C5C2512yes—
1080C2×C4×C5C2512yes—
1081C2×C4×C5C2512yes—
1082C2×C4×C5C2512yes—
1083C2×C4×C5C2512yes—
1084C2×C4×C5C2512yes—
1085C2×C4×C5C2512yes—
1086C2×C4×C5C2512yes—
1087C2×C4×C5C2512yes—
1088C2×C4×C5C2512yes—
1089C2×C4×C5C2512yes—
1090C2×C4×C5C2512yes—
1091C22⋊D5—28no—
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—
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—44no—
1114C2×Dic5C2512yes—
1115C2×Dic5C2512yes—
1116C2×Dic5C2512yes—
1117C2×Dic5C2512yes—
1118C2×Dic5C2512yes—
1119C2×Dic5C2512yes—
1120C2×Dic5C2512yes—
1121C2×Dic5C2512yes—
1122C2×Dic5C2512yes—
1123C2×Dic5C2512yes—
1124D20—28no—
1125D20—28no—
1126D20—28no—
1127D20—44no—
1128D20—44no—
1129D20—44no—
1130D20—44no—
1131D20—44no—
1132D20—44no—
1133D20—44no—
1134D20—44no—
1135D20—44no—
1136C4×D5—28no—
1137C4×D5—28no—
1138C4×D5—28no—
1139C4×D5—44no—
1140C4×D5—44no—
1141C4×D5—44no—
1142C4×D5—44no—
1143C4×D5—44no—
1144C4×D5—44no—
1145C4×D5—44no—
1146C4×D5—44no—
1147C4×D5—44no—
1148C4×D5—44no—
1149C4×D5—44no—
1150C4×D5—44no—
1151C4×D5—44no—
1152Dic10—44no—
1153Dic10—44no—
1154Dic10—44no—
1155Dic10—44no—
1156C25—51no—
1157C25—51no—
1158C25—51no—
1159C2×#41—58no—
1160C2×#41—58no—
1161C2×#41—58no—
1162C2×#41—204no—
1163C2×#41—204no—
1164C2×#41—204no—
1165C22×Q8—51no—
1166C22×Q8—51no—
1167C22×Q8—51no—
1168C22×Q8—51no—
1169C22×Q8C22×D511yescharacteristic
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—58no—
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—51no—
1192C22×D4—51no—
1193C22×D4—51no—
1194C22×D4—51no—
1195C22×D4—58no—
1196C22×D4—204no—
1197C22×D4—204no—
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—51no—
1214C23×C4—51no—
1215C23×C4—51no—
1216C23×C4—51no—
1217C23×C4—51no—
1218C23×C4—58no—
1219C23×C4—204no—
1220C23×C4C22×D511yescharacteristic
1221C23×C4C22×D511yescharacteristic
1222C23×C4C22×D511yescharacteristic
1223C23×C4C22×D511yescharacteristic
1224C23×C4C22×D511yescharacteristic
1225C4⋊Q8—58no—
1226C4⋊Q8—58no—
1227#127—58no—
1228#127—58no—
1229#126—58no—
1230#126—58no—
1231#126—58no—
1232#126—58no—
1233#126—58no—
1234#126—58no—
1235#126—58no—
1236#126—58no—
1237#126—58no—
1238#126—58no—
1239#126C22×D518yescomplemented
1240#126C22×D518yescomplemented
1241#125—58no—
1242#125—58no—
1243#125—58no—
1244#125—58no—
1245#125C22×D518yescomplemented
1246#125C22×D518yescomplemented
1247#124—58no—
1248#124—58no—
1249#124—58no—
1250#124—58no—
1251#124—58no—
1252#124—58no—
1253#124—58no—
1254#124—58no—
1255#124—58no—
1256#124—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#123—58no—
1279#123—58no—
1280#123—58no—
1281#123—58no—
1282#123—58no—
1283#123C22×D518yes—
1284#123C22×D518yes—
1285#123C22×D518yescomplemented
1286#123C22×D518yescomplemented
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⋊Q8—58no—
1296C22⋊Q8—58no—
1297C22⋊Q8—58no—
1298C22⋊Q8—58no—
1299C22⋊Q8—58no—
1300C22⋊Q8C22×D518yescomplemented
1301C22⋊Q8C22×D518yescomplemented
1302C22⋊Q8C22×D518yescomplemented
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#121C22×D518yes—
1327#120—58no—
1328#120—58no—
1329#120—58no—
1330#120—58no—
1331#120—58no—
1332#120—58no—
1333#120—58no—
1334#120—58no—
1335#120—58no—
1336#120—58no—
1337C4×Q8—58no—
1338C4×Q8—58no—
1339C4×D4—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×D4C22×D518yescomplemented
1356C4×D4C22×D518yescomplemented
1357#117—58no—
1358#117—58no—
1359#117—58no—
1360#117—58no—
1361#117—58no—
1362#117—58no—
1363#117—58no—
1364C2×C4⋊C4—51no—
1365C2×C4⋊C4—51no—
1366C2×C4⋊C4—51no—
1367C2×C4⋊C4—51no—
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—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—58no—
1389C2×C4⋊C4—58no—
1390C2×C4⋊C4—58no—
1391C2×C4⋊C4C22×D511yescharacteristic
1392C2×C4⋊C4C22×D511yescharacteristic
1393C2×C4⋊C4C22×D511yescharacteristic
1394C2×C4⋊C4C22×D511yescharacteristic
1395C2×C4⋊C4C22×D511yescharacteristic
1396C2×C4⋊C4C22×D511yescharacteristic
1397C2×C4⋊C4C22×D511yescharacteristic
1398C2×C4⋊C4C22×D511yescharacteristic
1399C2×C4⋊C4C22×D511yescharacteristic
1400C2×C4⋊C4C22×D511yescharacteristic
1401C2×C4⋊C4C22×D511yescharacteristic
1402C2×C4⋊C4C22×D511yescharacteristic
1403C2×C4⋊C4C22×D511yescharacteristic
1404C2×C4⋊C4C22×D511yescharacteristic
1405C2×C4⋊C4C22×D518yescomplemented
1406C2×C22⋊C4—51no—
1407C2×C22⋊C4—51no—
1408C2×C22⋊C4—51no—
1409C2×C22⋊C4—51no—
1410C2×C22⋊C4—51no—
1411C2×C22⋊C4—51no—
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—51no—
1442C2×C22⋊C4—51no—
1443C2×C22⋊C4—51no—
1444C2×C22⋊C4—51no—
1445C2×C22⋊C4—51no—
1446C2×C22⋊C4—58no—
1447C2×C22⋊C4—58no—
1448C2×C22⋊C4—58no—
1449C2×C22⋊C4—58no—
1450C2×C22⋊C4—58no—
1451C2×C22⋊C4—58no—
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×C22⋊C4C22×D511yescharacteristic
1461C2×C22⋊C4C22×D511yescharacteristic
1462C2×C42—51no—
1463C2×C42—51no—
1464C2×C42—51no—
1465C2×C42—51no—
1466C2×C42—51no—
1467C2×C42—51no—
1468C2×C42—51no—
1469C2×C42—51no—
1470C2×C42C22×D511yescharacteristic
1471C2×C42C22×D511yescharacteristic
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—44no—
1482C22×C5—44no—
1483C22×C5—44no—
1484C22×C5C2×H(5,𝔽2)12yes—
1485C22×C5#58512yes—
1486C22×C5#58512yes—
1487C22×C5C2611yescharacteristic
1488C2×D5—22no—
1489C2×D5—22no—
1490C2×D5—28no—
1491C2×D5—22no—
1492C2×D5—22no—
1493C2×D5—22no—
1494C2×D5—22no—
1495C2×D5—22no—
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—416no—
1507C2×D5—44no—
1508C2×D5—44no—
1509C2×D5—44no—
1510C2×D5—44no—
1511C2×D5—44no—
1512C2×D5—88no—
1513C2×D5—88no—
1514C2×D5C2×H(5,𝔽2)14yes—
1515C4×C5—22no—
1516C4×C5—22no—
1517C4×C5—22no—
1518C4×C5—22no—
1519C4×C5—22no—
1520C4×C5—22no—
1521C4×C5—22no—
1522C4×C5—22no—
1523C4×C5—22no—
1524C4×C5—22no—
1525C4×C5—22no—
1526C4×C5—22no—
1527Dic5—22no—
1528Dic5—22no—
1529Dic5—22no—
1530Dic5—22no—
1531Dic5—22no—
1532Dic5—22no—
1533Dic5—22no—
1534Dic5—22no—
1535Dic5—22no—
1536Dic5—22no—
1537C24—51no—
1538C24—51no—
1539C24—51no—
1540C24—51no—
1541C24—51no—
1542C24—51no—
1543C24—54no—
1544C24—54no—
1545C24—54no—
1546C24—104no—
1547C24—104no—
1548C24—202no—
1549C24—202no—
1550C24—202no—
1551C24—202no—
1552C24—202no—
1553C24—202no—
1554C24—202no—
1555C24C23×D511yescharacteristic
1556C24C23×D511yescharacteristic
1557C24C23×D511yescharacteristic
1558#41—2016no—
1559#41—2016no—
1560#41—2016no—
1561C2×Q8—42no—
1562C2×Q8—54no—
1563C2×Q8—54no—
1564C2×Q8—54no—
1565C2×Q8—54no—
1566C2×Q8—202no—
1567C2×Q8—202no—
1568C2×Q8—202no—
1569C2×Q8—202no—
1570C2×Q8C23×D514yes—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—42no—
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—54no—
1591C2×D4—54no—
1592C2×D4—54no—
1593C2×D4—54no—
1594C2×D4—54no—
1595C2×D4—54no—
1596C2×D4—54no—
1597C2×D4—54no—
1598C2×D4—104no—
1599C2×D4—104no—
1600C2×D4—104no—
1601C2×D4—104no—
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×D4—2016no—
1612C2×D4—2016no—
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×D4—202no—
1624C2×D4C23×D514yes—
1625C2×D4C23×D514yes—
1626C2×D4C23×D514yes—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
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—54no—
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—104no—
1660C22×C4—104no—
1661C22×C4—104no—
1662C22×C4—202no—
1663C22×C4—202no—
1664C22×C4—202no—
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—202no—
1674C22×C4—202no—
1675C22×C4—2016no—
1676C22×C4—202no—
1677C22×C4C23×D511yescharacteristic
1678C22×C4C23×D511yescharacteristic
1679C22×C4C23×D511yescharacteristic
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×D514yes—
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⋊C4C23×D514yes—
1719C4⋊C4C23×D514yes—
1720C4⋊C4C23×D514yes—
1721C4⋊C4C23×D514yes—
1722C4⋊C4C23×D514yes—
1723C4⋊C4C23×D514yes—
1724C4⋊C4C23×D514yes—
1725C4⋊C4C23×D514yes—
1726C4⋊C4C23×D514yes—
1727C4⋊C4C23×D514yes—
1728C4⋊C4C23×D514yes—
1729C4⋊C4C23×D514yes—
1730C4⋊C4C23×D514yes—
1731C4⋊C4C23×D514yes—
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⋊C4—54no—
1765C22⋊C4—54no—
1766C22⋊C4—54no—
1767C22⋊C4—54no—
1768C22⋊C4—54no—
1769C22⋊C4—54no—
1770C22⋊C4—54no—
1771C22⋊C4—54no—
1772C22⋊C4C23×D514yes—
1773C22⋊C4C23×D514yes—
1774C22⋊C4C23×D514yes—
1775C22⋊C4C23×D514yes—
1776C22⋊C4C23×D514yes—
1777C22⋊C4C23×D514yes—
1778C22⋊C4C23×D514yes—
1779C22⋊C4C23×D514yes—
1780C22⋊C4C23×D514yes—
1781C22⋊C4C23×D514yes—
1782C42—54no—
1783C42—54no—
1784C42—54no—
1785C42—54no—
1786C42—54no—
1787C42—54no—
1788C42—54no—
1789C42—54no—
1790C42C23×D514yes—
1791C42C23×D514yes—
1792C2×C5—42no—
1793C2×C5—42no—
1794C2×C5—42no—
1795C2×C5#353314yescomplemented
1796C2×C5C22×H(5,𝔽2)11yescharacteristic
1797C2×C5C2×#58511yescharacteristic
1798C2×C5C2×#58511yescharacteristic
1799D5—24no—
1800D5—42no—
1801D5—42no—
1802D5—42no—
1803D5—42no—
1804D5—42no—
1805C23—22no—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—54no—
1815C23—52no—
1816C23—52no—
1817C23—52no—
1818C23—52no—
1819C23—52no—
1820C23—52no—
1821C23—108no—
1822C23—108no—
1823C23—102no—
1824C23—102no—
1825C23—102no—
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—102no—
1839C23—102no—
1840C23—204no—
1841C23—204no—
1842C23—204no—
1843C23—204no—
1844C23—204no—
1845C23—204no—
1846C23—204no—
1847C23—2016no—
1848C23—408no—
1849C23—408no—
1850C23C24×D512yes—
1851C23C24×D512yes—
1852C23C24×D512yes—
1853C23C24×D511yescharacteristic
1854Q8—44no—
1855Q8—204no—
1856Q8—204no—
1857Q8—204no—
1858Q8—204no—
1859D4—44no—
1860D4—44no—
1861D4—44no—
1862D4—108no—
1863D4—108no—
1864D4—108no—
1865D4—108no—
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—
1884D4—204no—
1885D4—204no—
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—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—44no—
1899C2×C4—44no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—44no—
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—52no—
1912C2×C4—52no—
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—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×C4—204no—
1938C2×C4—204no—
1939C2×C4—204no—
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—
1949C2×C4C24×D512yes—
1950C2×C4C24×D512yes—
1951C2×C4C24×D512yes—
1952C5C2×#353311yescharacteristic, complemented, Sylow
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—44no—
1963C22—44no—
1964C22—44no—
1965C22—54no—
1966C22—102no—
1967C22—102no—
1968C22—108no—
1969C22—102no—
1970C22—102no—
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—102no—
1984C22—2016no—
1985C22—204no—
1986C22—204no—
1987C22—204no—
1988C22—204no—
1989C22—204no—
1990C22—408no—
1991C22—408no—
1992C22#6628312yes—
1993C22D5×H(5,𝔽2)12yes—
1994C22#6628712yes—
1995C22C25×D511yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—22no—
2007C4—22no—
2008C4—102no—
2009C4—102no—
2010C4—102no—
2011C4—102no—
2012C4—102no—
2013C4—102no—
2014C4—102no—
2015C4—102no—
2016C4—102no—
2017C4—102no—
2018C2—42no—
2019C2—42no—
2020C2—42no—
2021C2—104no—
2022C2—202no—
2023C2—202no—
2024C2—202no—
2025C2—202no—
2026C2—202no—
2027C2#1061835814yesdirect product factor
2028C2C2×#6628311yescharacteristic
2029C2C2×D5×H(5,𝔽2)11yescharacteristic
2030C2C2×#6628711yescharacteristic
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×#539C2
socleC23×C5C25
hypercenterC2×#539D5
hypocenterC5C2×#3533
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. C2×C5×#539C2semidirect
2. #10618358C2direct (N × H)
3. C2×#66039C2semidirect
4. C2×#66039C2semidirect
5. C2×#66038C2semidirect
6. C2×#66044C2semidirect
7. C2×#66034C2semidirect
8. C2×#66029C2semidirect
9. C2×#66028C2semidirect
10. C2×#66027C2semidirect
11. C2×#66000C2semidirect
12. C2×#65993C2semidirect
13. C2×#65994C2semidirect
14. C2×#65991C2semidirect
15. C2×#65991C2semidirect
16. C2×#65987C2semidirect
17. C2×D5×#123C2semidirect
18. C2×#65997C2semidirect
19. C2×#65981C2semidirect
20. C2×#65965C2semidirect
21. C2×#65964C2semidirect
22. C2×#65980C2semidirect
23. C2×#65974C2semidirect
24. C2×#65961C2semidirect
25. C2×#65947C2semidirect
26. C2×#65941C2semidirect
27. C2×#65884C2semidirect
28. C2×#65896C2semidirect
29. C2×#65881C2semidirect
30. C2×#65893C2semidirect
31. C2×#65848C2semidirect
32. C2×#65841C2semidirect
36. C22×#709C22semidirect
38. C23×C4×D5C22semidirect
39. C5×#539C22semidirect
40. C2×C5×#126C22semidirect
41. C2×C5×#126C22semidirect
42. C2×C5×#125C22semidirect
43. C2×C5×#125C22semidirect
46. C2×C5×#123C22semidirect
47. C2×C5×#123C22semidirect
48. C2×C5×C22⋊Q8C22semidirect
49. C2×C5×C22⋊Q8C22semidirect
50. C2×C5×C22⋊Q8C22semidirect
52. C2×C4×C5×D4C22semidirect
53. C2×C4×C5×D4C22semidirect
54. C22×C5×C4⋊C4C22semidirect
55. C2×#4093C22semidirect
56. C2×#4092C22semidirect
57. C2×#4090C22semidirect
59. C2×#4086C22semidirect
60. C2×#4085C22semidirect
62. C2×#4084C22semidirect
65. C2×#4083C22semidirect
66. C2×#4083C22semidirect
67. C2×#4082C22semidirect
69. C2×#4076C22semidirect
70. C2×#4076C22semidirect
71. C2×#4076C22semidirect
72. C2×#4076C22semidirect
73. C2×#4076C22semidirect
75. C2×#4075C22semidirect
76. C2×#4075C22semidirect
77. C2×#4075C22semidirect
78. C2×C4×C22⋊D5C22semidirect
79. C2×C4×C22⋊D5C22semidirect
80. C2×C4×C22⋊D5C22semidirect
81. C2×C4×C22⋊D5C22semidirect
82. C2×C4×C22⋊D5C22semidirect
83. C2×C4×C22⋊D5C22semidirect
84. C2×#4070C22semidirect
85. #66044C22semidirect
86. #66039C22semidirect
87. #66039C22semidirect
88. #66038C22semidirect
89. #66034C22semidirect
90. #66029C22semidirect
91. #66028C22semidirect
92. #66027C22semidirect
93. #66000C22semidirect
94. #65997C22semidirect
95. #65994C22semidirect
96. #65993C22semidirect
97. #65991C22semidirect
98. #65991C22semidirect
99. #65987C22semidirect
100. D5×#123C22semidirect
101. #65981C22semidirect
102. #65980C22semidirect
103. #65974C22semidirect
104. #65965C22semidirect
105. #65964C22semidirect
106. #65961C22semidirect
107. #65947C22semidirect
108. #65941C22semidirect
109. #65896C22semidirect
110. #65893C22semidirect
111. #65884C22semidirect
112. #65881C22semidirect
113. #65848C22semidirect
114. C2×#4044C22semidirect
115. C2×#4044C22semidirect
116. C2×#4044C22semidirect
117. C2×#4044C22semidirect
118. C2×#4044C22semidirect
119. C2×#4044C22semidirect
120. C2×#4043C22semidirect
121. C2×#4043C22semidirect
122. C2×#4043C22semidirect
123. C2×#4042C22semidirect
124. C2×#4042C22semidirect
125. C2×#4042C22semidirect
126. C2×#4042C22semidirect
127. C2×#4042C22semidirect
128. C2×#4042C22semidirect
129. C2×#4042C22semidirect
130. #65841C22semidirect
134. C2×#4041C22semidirect
135. C2×#4041C22semidirect
136. C2×#4041C22semidirect
137. C2×#4041C22semidirect
138. C2×#4041C22semidirect
143. C2×#4040C22semidirect
144. C2×#4040C22semidirect
145. C2×#4040C22semidirect
146. C2×#4040C22semidirect
147. C2×#4040C22semidirect
148. C2×#4040C22semidirect
149. C2×#4040C22semidirect
150. C2×#4040C22semidirect
151. C2×#4040C22semidirect
153. C2×#4039C22semidirect
154. C2×#4039C22semidirect
155. C2×#4039C22semidirect
156. C2×#4039C22semidirect
157. C2×#4038C22semidirect
158. C2×#4038C22semidirect
159. C2×#4038C22semidirect
160. C2×#4038C22semidirect
161. C2×#4038C22semidirect
162. C2×D5×C4⋊C4C22semidirect
163. C2×D5×C4⋊C4C22semidirect
164. C2×D5×C4⋊C4C22semidirect
165. C2×#4036C22semidirect
166. C2×#4036C22semidirect
167. C2×#4035C22semidirect
168. C2×#4035C22semidirect
169. C2×#4034C22semidirect
170. C2×#4033C22semidirect
171. C2×#4032C22semidirect
173. C2×#4031C22semidirect
174. C2×#4031C22semidirect
175. C2×#4031C22semidirect
176. C2×#4031C22semidirect
177. C2×#4031C22semidirect
181. C2×#4030C22semidirect
182. C2×#4030C22semidirect
183. C2×#4030C22semidirect
184. C2×#4030C22semidirect
187. C2×#4029C22semidirect
188. C2×#4029C22semidirect
189. C2×#4029C22semidirect
190. C2×#4029C22semidirect
191. C2×#4029C22semidirect
196. C2×#4028C22semidirect
197. C2×#4028C22semidirect
198. C2×#4027C22semidirect
199. C2×#4027C22semidirect
203. C2×D5×C22⋊C4C22semidirect
204. C2×D5×C22⋊C4C22semidirect
205. C2×D5×C22⋊C4C22semidirect
206. C2×#4025C22semidirect
207. C2×#4025C22semidirect
208. C2×#4025C22semidirect
209. C2×#4025C22semidirect
210. C2×#4024C22semidirect
211. C2×#4021C22semidirect
212. C2×#4021C22semidirect
214. C2×C4×D20C22semidirect
215. C2×C4×D20C22semidirect
216. C2×#4018C22semidirect
217. C2×#4018C22semidirect
218. C2×C4×Dic10C22semidirect
252. C2×#709C23semidirect
284. C22×C4×D5C23semidirect
289. C5×#126C23semidirect
290. C5×#126C23semidirect
291. C5×#125C23semidirect
292. C5×#125C23semidirect
295. C5×#123C23semidirect
296. C5×#123C23semidirect
297. C5×C22⋊Q8C23semidirect
298. C5×C22⋊Q8C23semidirect
299. C5×C22⋊Q8C23semidirect
301. C4×C5×D4C23semidirect
302. C4×C5×D4C23semidirect
317. C2×C5×C4⋊C4C23semidirect
338. #4093C23semidirect
339. #4092C23semidirect
340. #4090C23semidirect
342. #4086C23semidirect
343. #4085C23semidirect
345. #4084C23semidirect
348. #4083C23semidirect
349. #4083C23semidirect
350. #4082C23semidirect
352. #4076C23semidirect
353. #4076C23semidirect
354. #4076C23semidirect
355. #4076C23semidirect
356. #4076C23semidirect
358. #4075C23semidirect
359. #4075C23semidirect
360. #4075C23semidirect
361. C4×C22⋊D5C23semidirect
362. C4×C22⋊D5C23semidirect
363. C4×C22⋊D5C23semidirect
364. C4×C22⋊D5C23semidirect
365. C4×C22⋊D5C23semidirect
366. C4×C22⋊D5C23semidirect
407. #4070C23semidirect
432. #4044C23semidirect
433. #4044C23semidirect
434. #4044C23semidirect
435. #4044C23semidirect
436. #4044C23semidirect
437. #4044C23semidirect
438. #4043C23semidirect
439. #4043C23semidirect
440. #4043C23semidirect
441. #4042C23semidirect
442. #4042C23semidirect
443. #4042C23semidirect
444. #4042C23semidirect
445. #4042C23semidirect
446. #4042C23semidirect
447. #4042C23semidirect
451. #4041C23semidirect
452. #4041C23semidirect
453. #4041C23semidirect
454. #4041C23semidirect
455. #4041C23semidirect
460. #4040C23semidirect
461. #4040C23semidirect
462. #4040C23semidirect
463. #4040C23semidirect
464. #4040C23semidirect
465. #4040C23semidirect
466. #4040C23semidirect
467. #4040C23semidirect
468. #4040C23semidirect
470. #4039C23semidirect
471. #4039C23semidirect
472. #4039C23semidirect
473. #4039C23semidirect
474. #4038C23semidirect
475. #4038C23semidirect
476. #4038C23semidirect
477. #4038C23semidirect
478. #4038C23semidirect
479. D5×C4⋊C4C23semidirect
480. D5×C4⋊C4C23semidirect
481. D5×C4⋊C4C23semidirect
482. #4036C23semidirect
483. #4036C23semidirect
484. #4035C23semidirect
485. #4035C23semidirect
486. #4034C23semidirect
487. #4033C23semidirect
488. #4032C23semidirect
490. #4031C23semidirect
491. #4031C23semidirect
492. #4031C23semidirect
493. #4031C23semidirect
494. #4031C23semidirect
498. #4030C23semidirect
499. #4030C23semidirect
500. #4030C23semidirect
501. #4030C23semidirect
504. #4029C23semidirect
505. #4029C23semidirect
506. #4029C23semidirect
507. #4029C23semidirect
508. #4029C23semidirect
513. #4028C23semidirect
514. #4028C23semidirect
515. #4027C23semidirect
516. #4027C23semidirect
520. D5×C22⋊C4C23semidirect
521. D5×C22⋊C4C23semidirect
522. D5×C22⋊C4C23semidirect
523. #4025C23semidirect
524. #4025C23semidirect
525. #4025C23semidirect
526. #4025C23semidirect
527. #4024C23semidirect
528. #4021C23semidirect
529. #4021C23semidirect
531. C4×D20C23semidirect
532. C4×D20C23semidirect
533. #4018C23semidirect
534. #4018C23semidirect
535. C4×Dic10C23semidirect
558. C2×#539D5semidirect
850. #539C2×D5semidirect
871. C2×#126C2×D5semidirect
872. C2×#126C2×D5semidirect
877. C2×#125C2×D5semidirect
878. C2×#125C2×D5semidirect
920. C2×#123C2×D5semidirect
921. C2×#123C2×D5semidirect
935. C2×C22⋊Q8C2×D5semidirect
936. C2×C22⋊Q8C2×D5semidirect
937. C2×C22⋊Q8C2×D5semidirect
990. C2×C4×D4C2×D5semidirect
991. C2×C4×D4C2×D5semidirect
1002. C22×C4⋊C4C2×D5semidirect
1239. #126C22×D5semidirect
1240. #126C22×D5semidirect
1245. #125C22×D5semidirect
1246. #125C22×D5semidirect
1285. #123C22×D5semidirect
1286. #123C22×D5semidirect
1300. C22⋊Q8C22×D5semidirect
1301. C22⋊Q8C22×D5semidirect
1302. C22⋊Q8C22×D5semidirect
1355. C4×D4C22×D5semidirect
1356. C4×D4C22×D5semidirect
1405. C2×C4⋊C4C22×D5semidirect
1795. C2×C5#3533semidirect
1952. C5C2×#3533semidirect
2027. C2#10618358direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5392
#106183582
C2×#660392
C2×#660382
C2×#660442
C2×#660342
C2×#660292
C2×#660282
C2×#660272
C2×#660002
C2×#659932
C2×#659942
C2×#659912
C2×#659872
C2×D5×#1232
C2×#659972
C2×#659812
C2×#659652
C2×#659642
C2×#659802
C2×#659742
C2×#659612
C2×#659472
C2×#659412
C2×#658842
C2×#658962
C2×#658812
C2×#658932
C2×#658482
C2×#658412
C2×#35335