Finite Group Databasebeta

← C2×#10618816 #13006485

Subgroups — C2×#10618816 #13006485

Order 1280.

8166 conjugacy classes of subgroups.

The subgroup lattice has 2164 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#553C211yesmaximal, characteristic, complemented
2#10618816C2132yesmaximal, direct product factor
3C2×#66045C211yesmaximal, characteristic, complemented
4C2×#66039C211yesmaximal, characteristic, complemented
5C2×#66041C211yesmaximal, characteristic, complemented
6C2×#66038C211yesmaximal, characteristic, complemented
7C2×#66034C211yesmaximal, characteristic, complemented
8C2×#66026C211yesmaximal, characteristic, complemented
9C2×#66001C211yesmaximal, characteristic, complemented
10C2×#65988C211yesmaximal, characteristic, complemented
11C2×#65987C211yesmaximal, characteristic, complemented
12C2×#65997C211yesmaximal, characteristic, complemented
13C2×#65954C211yesmaximal, characteristic, complemented
14C2×#65944C211yesmaximal, characteristic, complemented
15C2×#65944C211yesmaximal, characteristic, complemented
16C2×#65943C211yesmaximal, characteristic, complemented
17C2×#65939C211yesmaximal, characteristic, complemented
18C2×#65939C211yesmaximal, characteristic, complemented
19C2×D5×#121C211yesmaximal, characteristic, complemented
20C2×#65931C211yesmaximal, characteristic, complemented
21C2×#65884C211yesmaximal, characteristic, complemented
22C2×#65888C211yesmaximal, characteristic, complemented
23C2×#65888C211yesmaximal, characteristic, complemented
24C2×D4×D20C211yesmaximal, characteristic, complemented
25C2×#65894C211yesmaximal, characteristic, complemented
26C2×#65894C211yesmaximal, characteristic, complemented
27C2×#65881C211yesmaximal, characteristic, complemented
28C2×#65898C211yesmaximal, characteristic, complemented
29C2×#65861C211yesmaximal, characteristic, complemented
30C2×#65869C211yesmaximal, characteristic, complemented
31C2×#65848C211yesmaximal, characteristic, complemented
32C22×#4040C211yesmaximal, characteristic, complemented
33C22×#711C2211yescharacteristic, complemented
34C22×#711C2211yescharacteristic, complemented
35C22×D4×D5C2211yescharacteristic, complemented
36C22×D4×D5C2211yescharacteristic, complemented
37C22×D4×D5C2211yescharacteristic, complemented
38C22×D4×D5C2211yescharacteristic, complemented
39C22×D4×D5C2211yescharacteristic, complemented
40C22×D4×D5C2211yescharacteristic, complemented
41C22×#709C2211yescharacteristic, complemented
42C23×D20C2211yescharacteristic
43C23×D20C2211yescharacteristic, complemented
44C23×C4×D5C2211yescharacteristic, complemented
45C5×#553C22116yescomplemented
46C2×C5×#126C2211yescharacteristic, complemented
47C2×C5×#126C2211yescharacteristic, complemented
48C2×C5×#125C2211yescharacteristic, complemented
49C2×C5×#123C2211yescharacteristic, complemented
50C2×C5×#123C2211yescharacteristic, complemented
51C2×C5×#121C2211yescharacteristic, complemented
52C2×C5×#121C2211yescharacteristic, complemented
53C2×C5×#121C2211yescharacteristic, complemented
54C2×C5×#121C2211yescharacteristic, complemented
55C2×C4×C5×D4C2211yescharacteristic, complemented
56C2×C4×C5×D4C2211yescharacteristic, complemented
57C2×C4×C5×D4C2211yescharacteristic, complemented
58C2×C4×C5×D4C2211yescharacteristic, complemented
59C2×C5×#117C2211yescharacteristic, complemented
60C22×C5×C4⋊C4C2211yescharacteristic, complemented
61C2×#4086C2211yescharacteristic, complemented
62C2×#4085C2211yescharacteristic
63C2×#4085C2211yescharacteristic, complemented
64C2×#4085C2211yescharacteristic, complemented
65C2×#4085C2211yescharacteristic, complemented
66C2×#4085C2211yescharacteristic, complemented
67C2×#4085C2211yescharacteristic, complemented
68C2×#4085C2211yescharacteristic, complemented
69C2×#4084C2211yescharacteristic, complemented
70C2×#4083C2211yescharacteristic, complemented
71C2×#4083C2211yescharacteristic, complemented
72C2×#4083C2211yescharacteristic, complemented
73C2×#4083C2211yescharacteristic, complemented
74C2×#4083C2211yescharacteristic, complemented
75C2×#4083C2211yescharacteristic, complemented
76C2×#4081C2211yescharacteristic, complemented
77C2×#4076C2211yescharacteristic, complemented
78C2×#4076C2211yescharacteristic, complemented
79C2×#4076C2211yescharacteristic, complemented
80C2×#4076C2211yescharacteristic, complemented
81C2×#4076C2211yescharacteristic, complemented
82C2×#4076C2211yescharacteristic, complemented
83C2×#4076C2211yescharacteristic, complemented
84C2×#4075C2211yescharacteristic, complemented
85C2×#4075C2211yescharacteristic, complemented
86C2×C4×C22⋊D5C2211yescharacteristic, complemented
87C2×C4×C22⋊D5C2211yescharacteristic, complemented
88C2×C4×C22⋊D5C2211yescharacteristic, complemented
89C2×C4×C22⋊D5C2211yescharacteristic, complemented
90C22×#685C2211yescharacteristic, complemented
91C22×#685C2211yescharacteristic, complemented
92C22×#685C2211yescharacteristic, complemented
93C22×#685C2211yescharacteristic, complemented
94C22×#685C2211yescharacteristic, complemented
95C2×#4070C2211yescharacteristic, complemented
96C22×#683C2211yescharacteristic, complemented
97#66045C22116yescomplemented
98#66041C22116yescomplemented
99#66039C22116yescomplemented
100#66038C22116yescomplemented
101#66034C22116yescomplemented
102#66026C22116yescomplemented
103#66001C22116yescomplemented
104#65997C22116yescomplemented
105#65988C22116yescomplemented
106#65987C22116yescomplemented
107#65954C22116yescomplemented
108#65944C22116yescomplemented
109#65944C22116yescomplemented
110#65943C22116yescomplemented
111#65939C22116yescomplemented
112#65939C22116yescomplemented
113D5×#121C22116yescomplemented
114#65931C22116yescomplemented
115#65898C22116yescomplemented
116#65894C22116yescomplemented
117#65894C22116yescomplemented
118#65888C22116yescomplemented
119#65888C22116yescomplemented
120#65884C22116yescomplemented
121D4×D20C22116yescomplemented
122#65881C22116yescomplemented
123#65869C22116yescomplemented
124#65861C22116yescomplemented
125#65848C22116yescomplemented
126C2×#4044C2211yescharacteristic, complemented
127C2×#4044C2211yescharacteristic, complemented
128C2×#4044C2211yescharacteristic, complemented
129C2×#4043C2211yescharacteristic, complemented
130C2×#4043C2211yescharacteristic, complemented
131C2×#4042C2211yescharacteristic, complemented
132C2×#4042C2211yescharacteristic, complemented
133C2×#4042C2211yescharacteristic, complemented
134C2×#4042C2211yescharacteristic, complemented
135C2×#4042C2211yescharacteristic, complemented
136C2×#4042C2211yescharacteristic, complemented
137C2×#4041C2211yescharacteristic
138C2×#4041C2211yescharacteristic, complemented
139C2×#4041C2211yescharacteristic, complemented
140C2×#4041C2211yescharacteristic, complemented
141C2×#4041C2211yescharacteristic, complemented
142C2×#4041C2211yescharacteristic, complemented
143C2×#4041C2211yescharacteristic, 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×#4040C2211yescharacteristic, complemented
153C2×#4040C2211yescharacteristic, complemented
154C2×#4040C2211yescharacteristic, complemented
155C2×#4040C2211yescharacteristic, complemented
156C2×#4040C2211yescharacteristic, complemented
157C2×#4040C2211yescharacteristic, complemented
158C2×#4040C2211yescharacteristic, complemented
159C2×#4040C2211yescharacteristic, complemented
160C2×#4040C22116yescomplemented
161C2×#4039C2211yescharacteristic, complemented
162C2×#4039C2211yescharacteristic, complemented
163C2×#4038C2211yescharacteristic, complemented
164C2×D5×C4⋊C4C2211yescharacteristic, complemented
165C2×#4036C2211yescharacteristic, complemented
166C2×#4035C2211yescharacteristic, complemented
167C2×#4032C2211yescharacteristic, complemented
168C2×#4032C2211yescharacteristic, complemented
169C2×#4032C2211yescharacteristic, complemented
170C2×#4031C2211yescharacteristic, complemented
171C2×#4031C2211yescharacteristic, complemented
172C2×#4031C2211yescharacteristic, complemented
173C2×#4030C2211yescharacteristic
174C2×#4030C2211yescharacteristic, complemented
175C2×#4030C2211yescharacteristic, complemented
176C2×#4030C2211yescharacteristic, complemented
177C2×#4030C2211yescharacteristic, complemented
178C2×#4030C2211yescharacteristic, complemented
179C2×#4030C2211yescharacteristic, complemented
180C2×#4030C2211yescharacteristic, complemented
181C2×#4030C2211yescharacteristic, complemented
182C2×#4030C2211yescharacteristic, complemented
183C2×#4029C2211yescharacteristic, complemented
184C2×#4029C2211yescharacteristic, complemented
185C2×#4029C2211yescharacteristic, complemented
186C2×#4029C2211yescharacteristic, complemented
187C2×#4028C2211yescharacteristic
188C2×#4028C2211yescharacteristic
189C2×#4028C2211yescharacteristic, complemented
190C2×#4028C2211yescharacteristic, complemented
191C2×#4028C2211yescharacteristic, complemented
192C2×#4028C2211yescharacteristic, complemented
193C2×#4028C2211yescharacteristic, complemented
194C2×#4028C2211yescharacteristic, complemented
195C2×#4028C2211yescharacteristic, complemented
196C2×#4028C2211yescharacteristic, complemented
197C2×#4027C2211yescharacteristic, complemented
198C2×#4027C2211yescharacteristic, complemented
199C2×D5×C22⋊C4C2211yescharacteristic, complemented
200C2×D5×C22⋊C4C2211yescharacteristic, complemented
201C2×D5×C22⋊C4C2211yescharacteristic, complemented
202C2×D5×C22⋊C4C2211yescharacteristic, complemented
203C2×#4025C2211yescharacteristic, complemented
204C2×#4024C2211yescharacteristic, complemented
205C2×#4024C2211yescharacteristic, complemented
206C2×#4024C2211yescharacteristic, complemented
207C2×#4022C2211yescharacteristic, complemented
208C2×#4022C2211yescharacteristic, complemented
209C2×#4021C2211yescharacteristic, complemented
210C2×#4021C2211yescharacteristic, complemented
211C2×#4021C2211yescharacteristic, complemented
212C2×#4020C2211yescharacteristic, complemented
213C2×C4×D20C2211yescharacteristic, complemented
214C2×C4×D20C2211yescharacteristic, complemented
215C2×C4×D20C2211yescharacteristic, complemented
216C2×C4×D20C2211yescharacteristic, complemented
217C2×#4018C2211yescharacteristic, complemented
218C2×#4016C2211yescharacteristic, complemented
219C2×#3534—51nomaximal, Sylow
220C24×D5C2311yescharacteristic
221C24×D5C2311yescharacteristic
222C24×D5C2311yescharacteristic
223C24×D5C2311yescharacteristic
224C24×D5C2311yescharacteristic
225C24×D5C2311yescharacteristic
226C22×C5×D4C2311yescharacteristic
227C22×C5×D4C2311yescharacteristic
228C22×C5×D4C2311yescharacteristic
229C22×C5×D4C2311yescharacteristic
230C22×C5×D4C2311yescharacteristic
231C22×C5×D4C2311yescharacteristic
232C23×C4×C5C2311yescharacteristic
233C23×C4×C5C2311yescharacteristic
234C23×C4×C5C2311yescharacteristic
235C23×C4×C5C2311yescharacteristic
236C23×C4×C5C2311yescharacteristic
237C23×C4×C5C2311yescharacteristic
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×Dic5C2311yescharacteristic
255C23×Dic5C2311yescharacteristic
256C23×Dic5C2311yescharacteristic
257C23×Dic5C2311yescharacteristic
258C2×#711—44no—
259C2×#711—44no—
260C2×#711C2318yescomplemented
261C2×#711C2318yescomplemented
262C2×D4×D5—44no—
263C2×D4×D5—44no—
264C2×D4×D5—44no—
265C2×D4×D5—44no—
266C2×D4×D5—44no—
267C2×D4×D5—44no—
268C2×D4×D5C2318yescomplemented
269C2×D4×D5C2318yescomplemented
270C2×D4×D5C2318yescomplemented
271C2×D4×D5C2318yescomplemented
272C2×D4×D5C2318yescomplemented
273C2×D4×D5C2318yescomplemented
274C2×#709—44no—
275C2×#709C2318yescomplemented
276C22×D20—44no—
277C22×D20—44no—
278C22×D20C2311yescharacteristic
279C22×D20C2311yescharacteristic
280C22×D20C2311yescharacteristic
281C22×D20C2311yescharacteristic
282C22×D20C2311yescharacteristic
283C22×D20C2311yescharacteristic
284C22×D20C2311yescharacteristic
285C22×D20C2311yescharacteristic
286C22×D20C2311yescharacteristic
287C22×D20C2311yescharacteristic
288C22×D20C2311yescharacteristic
289C22×D20C2311yescharacteristic
290C22×D20C2311yescharacteristic
291C22×D20C2311yescharacteristic
292C22×D20C2311yescharacteristic
293C22×D20C2318yes—
294C22×D20C2318yescomplemented
295C22×C4×D5—44no—
296C22×C4×D5C2311yescharacteristic
297C22×C4×D5C2311yescharacteristic
298C22×C4×D5C2311yescharacteristic
299C22×C4×D5C2311yescharacteristic
300C22×C4×D5C2311yescharacteristic
301C22×C4×D5C2311yescharacteristic
302C22×C4×D5C2311yescharacteristic
303C22×C4×D5C2311yescharacteristic
304C22×C4×D5C2311yescharacteristic
305C22×C4×D5C2311yescharacteristic
306C22×C4×D5C2311yescharacteristic
307C22×C4×D5C2311yescharacteristic
308C22×C4×D5C2311yescharacteristic
309C22×C4×D5C2318yescomplemented
310C22×Dic10C2311yescharacteristic
311C22×Dic10C2311yescharacteristic
312C22×Dic10C2311yescharacteristic
313C5×#126C2318yescomplemented
314C5×#126C2318yescomplemented
315C5×#125C2318yescomplemented
316C5×#123C2318yescomplemented
317C5×#123C2318yescomplemented
318C5×#121C2318yescomplemented
319C5×#121C2318yescomplemented
320C5×#121C2318yescomplemented
321C5×#121C2318yescomplemented
322C4×C5×D4C2318yescomplemented
323C4×C5×D4C2318yescomplemented
324C4×C5×D4C2318yescomplemented
325C4×C5×D4C2318yescomplemented
326C5×#117C2318yescomplemented
327C2×C5×C4⋊C4C2311yescharacteristic
328C2×C5×C4⋊C4C2311yescharacteristic
329C2×C5×C4⋊C4C2311yescharacteristic
330C2×C5×C4⋊C4C2311yescharacteristic
331C2×C5×C4⋊C4C2311yescharacteristic
332C2×C5×C4⋊C4C2311yescharacteristic
333C2×C5×C4⋊C4C2311yescharacteristic
334C2×C5×C4⋊C4C2311yescharacteristic
335C2×C5×C4⋊C4C2311yescharacteristic
336C2×C5×C4⋊C4C2311yescharacteristic
337C2×C5×C4⋊C4C2318yescomplemented
338C2×C5×C22⋊C4C2311yescharacteristic
339C2×C5×C22⋊C4C2311yescharacteristic
340C2×C5×C22⋊C4C2311yescharacteristic
341C2×C5×C22⋊C4C2311yescharacteristic
342C2×C5×C22⋊C4C2311yescharacteristic
343C2×C5×C22⋊C4C2311yescharacteristic
344C2×C5×C22⋊C4C2311yescharacteristic
345C2×C5×C22⋊C4C2311yescharacteristic
346C2×C5×C22⋊C4C2311yescharacteristic
347C2×C5×C22⋊C4C2311yescharacteristic
348C2×C42×C5C2311yescharacteristic
349C2×C42×C5C2311yescharacteristic
350C2×C42×C5C2311yescharacteristic
351C2×C22⋊Dic5C2311yescharacteristic
352C2×C22⋊Dic5C2311yescharacteristic
353C2×C22⋊Dic5C2311yescharacteristic
354C2×C22⋊Dic5C2311yescharacteristic
355C2×C22⋊Dic5C2311yescharacteristic
356C2×C22⋊Dic5C2311yescharacteristic
357#4086C2318yescomplemented
358#4085C2318yes—
359#4085C2318yescomplemented
360#4085C2318yescomplemented
361#4085C2318yescomplemented
362#4085C2318yescomplemented
363#4085C2318yescomplemented
364#4085C2318yescomplemented
365#4084C2318yescomplemented
366#4083C2318yescomplemented
367#4083C2318yescomplemented
368#4083C2318yescomplemented
369#4083C2318yescomplemented
370#4083C2318yescomplemented
371#4083C2318yescomplemented
372#4081C2318yescomplemented
373#4076C2318yescomplemented
374#4076C2318yescomplemented
375#4076C2318yescomplemented
376#4076C2318yescomplemented
377#4076C2318yescomplemented
378#4076C2318yescomplemented
379#4076C2318yescomplemented
380#4075C2318yescomplemented
381#4075C2318yescomplemented
382C4×C22⋊D5C2318yescomplemented
383C4×C22⋊D5C2318yescomplemented
384C4×C22⋊D5C2318yescomplemented
385C4×C22⋊D5C2318yescomplemented
386C2×#685C2311yescharacteristic
387C2×#685C2311yescharacteristic
388C2×#685C2311yescharacteristic
389C2×#685C2311yescharacteristic
390C2×#685C2311yescharacteristic
391C2×#685C2311yescharacteristic
392C2×#685C2311yescharacteristic
393C2×#685C2311yescharacteristic
394C2×#685C2311yescharacteristic
395C2×#685C2311yescharacteristic
396C2×#685C2311yescharacteristic
397C2×#685C2311yescharacteristic
398C2×#685C2311yescharacteristic
399C2×#685C2311yescharacteristic
400C2×#685C2311yescharacteristic
401C2×#685C2311yescharacteristic
402C2×#685C2311yescharacteristic
403C2×#685C2311yescharacteristic
404C2×#685C2311yescharacteristic
405C2×#685C2311yescharacteristic
406C2×#685C2311yescharacteristic
407C2×#685C2311yescharacteristic
408C2×#685C2311yescharacteristic
409C2×#685C2311yescharacteristic
410C2×#685C2311yescharacteristic
411C2×#685C2311yescharacteristic
412C2×#685C2311yescharacteristic
413C2×#685C2311yescharacteristic
414C2×#685C2311yescharacteristic
415C2×#685C2311yescharacteristic
416C2×#685C2311yescharacteristic
417C2×#685C2311yescharacteristic
418C2×#685C2311yescharacteristic
419C2×#685C2311yescharacteristic
420C2×#685C2318yescomplemented
421C2×#685C2318yescomplemented
422C2×#685C2318yescomplemented
423C2×#685C2318yescomplemented
424C2×#685C2318yescomplemented
425C2×C4⋊Dic5C2311yescharacteristic
426C2×C4⋊Dic5C2311yescharacteristic
427C2×C4⋊Dic5C2311yescharacteristic
428C2×C4⋊Dic5C2311yescharacteristic
429C2×C4⋊Dic5C2311yescharacteristic
430C2×C4⋊Dic5C2311yescharacteristic
431#4070C2318yescomplemented
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×#683C2318yescomplemented
447C2×C4×Dic5C2311yescharacteristic
448C2×C4×Dic5C2311yescharacteristic
449C2×C4×Dic5C2311yescharacteristic
450#4044C2318yescomplemented
451#4044C2318yescomplemented
452#4044C2318yescomplemented
453#4043C2318yescomplemented
454#4043C2318yescomplemented
455#4042C2318yescomplemented
456#4042C2318yescomplemented
457#4042C2318yescomplemented
458#4042C2318yescomplemented
459#4042C2318yescomplemented
460#4042C2318yescomplemented
461#4041C2318yes—
462#4041C2318yescomplemented
463#4041C2318yescomplemented
464#4041C2318yescomplemented
465#4041C2318yescomplemented
466#4041C2318yescomplemented
467#4041C2318yescomplemented
468#4040C2318yescomplemented
469#4040C2318yescomplemented
470#4040C2318yescomplemented
471#4040C2318yescomplemented
472#4040C2318yescomplemented
473#4040C2318yescomplemented
474#4040C2318yescomplemented
475#4040C2318yescomplemented
476#4040C2318yescomplemented
477#4040C2318yescomplemented
478#4040C2318yescomplemented
479#4040C2318yescomplemented
480#4040C2318yescomplemented
481#4040C2318yescomplemented
482#4040C2318yescomplemented
483#4040C2318yescomplemented
484#4039C2318yescomplemented
485#4039C2318yescomplemented
486#4038C2318yescomplemented
487D5×C4⋊C4C2318yescomplemented
488#4036C2318yescomplemented
489#4035C2318yescomplemented
490#4032C2318yescomplemented
491#4032C2318yescomplemented
492#4032C2318yescomplemented
493#4031C2318yescomplemented
494#4031C2318yescomplemented
495#4031C2318yescomplemented
496#4030C2318yes—
497#4030C2318yescomplemented
498#4030C2318yescomplemented
499#4030C2318yescomplemented
500#4030C2318yescomplemented
501#4030C2318yescomplemented
502#4030C2318yescomplemented
503#4030C2318yescomplemented
504#4030C2318yescomplemented
505#4030C2318yescomplemented
506#4029C2318yescomplemented
507#4029C2318yescomplemented
508#4029C2318yescomplemented
509#4029C2318yescomplemented
510#4028C2318yes—
511#4028C2318yes—
512#4028C2318yescomplemented
513#4028C2318yescomplemented
514#4028C2318yescomplemented
515#4028C2318yescomplemented
516#4028C2318yescomplemented
517#4028C2318yescomplemented
518#4028C2318yescomplemented
519#4028C2318yescomplemented
520#4027C2318yescomplemented
521#4027C2318yescomplemented
522D5×C22⋊C4C2318yescomplemented
523D5×C22⋊C4C2318yescomplemented
524D5×C22⋊C4C2318yescomplemented
525D5×C22⋊C4C2318yescomplemented
526#4025C2318yescomplemented
527#4024C2318yescomplemented
528#4024C2318yescomplemented
529#4024C2318yescomplemented
530#4022C2318yescomplemented
531#4022C2318yescomplemented
532#4021C2318yescomplemented
533#4021C2318yescomplemented
534#4021C2318yescomplemented
535#4020C2318yescomplemented
536C4×D20C2318yescomplemented
537C4×D20C2318yescomplemented
538C4×D20C2318yescomplemented
539C4×D20C2318yescomplemented
540#4018C2318yescomplemented
541#4016C2318yescomplemented
542#3534—532no—
543C2×#562—51no—
544C2×#562—51no—
545C2×#560—51no—
546C2×#560—51no—
547C2×#553—51no—
548C2×#553D511yescharacteristic, complemented
549C2×#551—51no—
550C2×#551—51no—
551C2×#546—51no—
552C2×#546—51no—
553C2×#546—51no—
554C2×#546—51no—
555C2×#546—51no—
556C2×#546—51no—
557C2×D42—51no—
558C2×D42—51no—
559C2×#540—51no—
560C2×#540—51no—
561C2×#539—51no—
562C2×#539—51no—
563C2×#539—51no—
564C2×#538—51no—
565C2×#538—51no—
566C2×#538—51no—
567C2×#537—51no—
568C2×#534—51no—
569C2×#534—51no—
570C2×#534—51no—
571C2×#525—51no—
572C22×#123—51no—
573C22×#121—51no—
574C24×C5C2411yescharacteristic
575C24×C5C2411yescharacteristic
576C24×C5C2411yescharacteristic
577C24×C5C2411yescharacteristic
578C23×D5—24no—
579C23×D5—24no—
580C23×D5—24no—
581C23×D5—24no—
582C23×D5—24no—
583C23×D5—42no—
584C23×D5—42no—
585C23×D5—42no—
586C23×D5—42no—
587C23×D5—42no—
588C23×D5—42no—
589C23×D5—42no—
590C23×D5—42no—
591C23×D5—42no—
592C23×D5—42no—
593C23×D5—42no—
594C23×D5—42no—
595C23×D5—42no—
596C23×D5C2411yescharacteristic
597C23×D5C2411yescharacteristic
598C23×D5C2411yescharacteristic
599C23×D5C2411yescharacteristic
600C23×D5C2411yescharacteristic
601C23×D5C2411yescharacteristic
602C23×D5C2414yes—
603C23×D5C2411yescharacteristic
604C23×D5C2414yes—
605C23×D5C2414yes—
606C23×D5C2414yes—
607C23×D5C2414yes—
608C23×D5C2414yes—
609C2×C5×D4—24no—
610C2×C5×D4—24no—
611C2×C5×D4—24no—
612C2×C5×D4—42no—
613C2×C5×D4—42no—
614C2×C5×D4—42no—
615C2×C5×D4C2414yes—
616C2×C5×D4C2414yes—
617C2×C5×D4C2414yes—
618C2×C5×D4C2414yes—
619C2×C5×D4C2414yes—
620C2×C5×D4C2414yes—
621C22×C4×C5—42no—
622C22×C4×C5—42no—
623C22×C4×C5—42no—
624C22×C4×C5—42no—
625C22×C4×C5—42no—
626C22×C4×C5—42no—
627C22×C4×C5C2411yescharacteristic
628C22×C4×C5C2411yescharacteristic
629C22×C4×C5C2411yescharacteristic
630C22×C4×C5C2411yescharacteristic
631C22×C4×C5C2411yescharacteristic
632C22×C4×C5C2411yescharacteristic
633C22×C4×C5C2411yescharacteristic
634C22×C4×C5C2411yescharacteristic
635C22×C4×C5C2411yescharacteristic
636C22×C4×C5C2411yescharacteristic
637C22×C4×C5C2411yescharacteristic
638C22×C4×C5C2414yes—
639C22×C4×C5C2414yes—
640C22×C4×C5C2414yes—
641C22×C4×C5C2414yes—
642C22×C4×C5C2414yes—
643C22×C4×C5C2414yes—
644C2×C22⋊D5—24no—
645C2×C22⋊D5—24no—
646C2×C22⋊D5—24no—
647C2×C22⋊D5—24no—
648C2×C22⋊D5—42no—
649C2×C22⋊D5—42no—
650C2×C22⋊D5—42no—
651C2×C22⋊D5—42no—
652C2×C22⋊D5—42no—
653C2×C22⋊D5—42no—
654C2×C22⋊D5—42no—
655C2×C22⋊D5—42no—
656C2×C22⋊D5—42no—
657C2×C22⋊D5—42no—
658C2×C22⋊D5—42no—
659C2×C22⋊D5—42no—
660C2×C22⋊D5C2414yes—
661C2×C22⋊D5C2414yes—
662C2×C22⋊D5C2414yes—
663C2×C22⋊D5C2414yes—
664C2×C22⋊D5C2414yes—
665C2×C22⋊D5C2414yes—
666C2×C22⋊D5C2414yes—
667C2×C22⋊D5C2414yes—
668C2×C22⋊D5C2414yes—
669C2×C22⋊D5C2414yes—
670C2×C22⋊D5C2414yes—
671C2×C22⋊D5C2414yes—
672C2×C22⋊D5C2414yes—
673C2×C22⋊D5C2414yes—
674C2×C22⋊D5C2414yes—
675C2×C22⋊D5C2414yes—
676C22×Dic5—24no—
677C22×Dic5—42no—
678C22×Dic5—42no—
679C22×Dic5—42no—
680C22×Dic5C2411yescharacteristic
681C22×Dic5C2411yescharacteristic
682C22×Dic5C2411yescharacteristic
683C22×Dic5C2411yescharacteristic
684C22×Dic5C2411yescharacteristic
685C22×Dic5C2411yescharacteristic
686C22×Dic5C2411yescharacteristic
687C22×Dic5C2411yescharacteristic
688C22×Dic5C2411yescharacteristic
689C22×Dic5C2414yes—
690C22×Dic5C2414yes—
691C22×Dic5C2414yes—
692C22×Dic5C2414yes—
693#711—416no—
694#711—416no—
695D4×D5—416no—
696D4×D5—416no—
697D4×D5—416no—
698D4×D5—416no—
699D4×D5—416no—
700D4×D5—416no—
701#709—416no—
702C2×D20—24no—
703C2×D20—24no—
704C2×D20—24no—
705C2×D20—416no—
706C2×D20—416no—
707C2×D20—42no—
708C2×D20—42no—
709C2×D20—42no—
710C2×D20—42no—
711C2×D20—42no—
712C2×D20—42no—
713C2×D20—42no—
714C2×D20—42no—
715C2×D20—42no—
716C2×D20—42no—
717C2×D20—42no—
718C2×D20—42no—
719C2×D20C2414yes—
720C2×D20C2414yes—
721C2×D20C2414yes—
722C2×D20C2414yes—
723C2×D20C2414yes—
724C2×D20C2414yes—
725C2×D20C2414yes—
726C2×D20C2414yes—
727C2×D20C2414yes—
728C2×D20C2414yes—
729C2×D20C2414yes—
730C2×D20C2414yes—
731C2×D20C2414yes—
732C2×D20C2414yes—
733C2×D20C2414yes—
734C2×C4×D5—24no—
735C2×C4×D5—24no—
736C2×C4×D5—416no—
737C2×C4×D5—42no—
738C2×C4×D5—42no—
739C2×C4×D5—42no—
740C2×C4×D5—42no—
741C2×C4×D5—42no—
742C2×C4×D5—42no—
743C2×C4×D5—42no—
744C2×C4×D5—42no—
745C2×C4×D5—42no—
746C2×C4×D5—42no—
747C2×C4×D5—42no—
748C2×C4×D5C2414yes—
749C2×C4×D5C2414yes—
750C2×C4×D5C2414yes—
751C2×C4×D5C2414yes—
752C2×C4×D5C2414yes—
753C2×C4×D5C2414yes—
754C2×C4×D5C2414yes—
755C2×C4×D5C2414yes—
756C2×C4×D5C2414yes—
757C2×C4×D5C2414yes—
758C2×C4×D5C2414yes—
759C2×C4×D5C2414yes—
760C2×C4×D5C2414yes—
761C2×Dic10—42no—
762C2×Dic10—42no—
763C2×Dic10—42no—
764C2×Dic10C2414yes—
765C2×Dic10C2414yes—
766C2×Dic10C2414yes—
767C5×C4⋊C4C2414yes—
768C5×C4⋊C4C2414yes—
769C5×C4⋊C4C2414yes—
770C5×C4⋊C4C2414yes—
771C5×C4⋊C4C2414yes—
772C5×C4⋊C4C2414yes—
773C5×C4⋊C4C2414yes—
774C5×C4⋊C4C2414yes—
775C5×C4⋊C4C2414yes—
776C5×C4⋊C4C2414yes—
777C5×C22⋊C4C2414yes—
778C5×C22⋊C4C2414yes—
779C5×C22⋊C4C2414yes—
780C5×C22⋊C4C2414yes—
781C5×C22⋊C4C2414yes—
782C5×C22⋊C4C2414yes—
783C5×C22⋊C4C2414yes—
784C5×C22⋊C4C2414yes—
785C5×C22⋊C4C2414yes—
786C5×C22⋊C4C2414yes—
787C42×C5C2414yes—
788C42×C5C2414yes—
789C42×C5C2414yes—
790C22⋊Dic5C2414yes—
791C22⋊Dic5C2414yes—
792C22⋊Dic5C2414yes—
793C22⋊Dic5C2414yes—
794C22⋊Dic5C2414yes—
795C22⋊Dic5C2414yes—
796#685C2414yes—
797#685C2414yes—
798#685C2414yes—
799#685C2414yes—
800#685C2414yes—
801#685C2414yes—
802#685C2414yes—
803#685C2414yes—
804#685C2414yes—
805#685C2414yes—
806#685C2414yes—
807#685C2414yes—
808#685C2414yes—
809#685C2414yes—
810#685C2414yes—
811#685C2414yes—
812#685C2414yes—
813#685C2414yes—
814#685C2414yes—
815#685C2414yes—
816#685C2414yes—
817#685C2414yes—
818#685C2414yes—
819#685C2414yes—
820#685C2414yes—
821#685C2414yes—
822#685C2414yes—
823#685C2414yes—
824#685C2414yes—
825#685C2414yes—
826#685C2414yes—
827#685C2414yes—
828#685C2414yes—
829#685C2414yes—
830C4⋊Dic5C2414yes—
831C4⋊Dic5C2414yes—
832C4⋊Dic5C2414yes—
833C4⋊Dic5C2414yes—
834C4⋊Dic5C2414yes—
835C4⋊Dic5C2414yes—
836#683C2414yes—
837#683C2414yes—
838#683C2414yes—
839#683C2414yes—
840#683C2414yes—
841#683C2414yes—
842#683C2414yes—
843#683C2414yes—
844#683C2414yes—
845#683C2414yes—
846#683C2414yes—
847#683C2414yes—
848#683C2414yes—
849#683C2414yes—
850C4×Dic5C2414yes—
851C4×Dic5C2414yes—
852C4×Dic5C2414yes—
853C22×#41—51no—
854C22×#41—51no—
855C22×#41—51no—
856C23×D4—51no—
857C23×D4—51no—
858C23×D4—51no—
859C23×D4—51no—
860C23×D4—51no—
861C23×D4—51no—
862C23×D4—51no—
863C23×D4—51no—
864C24×C4—51no—
865#562—516no—
866#562—516no—
867#560—516no—
868#560—516no—
869#553—516no—
870#553C2×D5116yescomplemented
871#551—516no—
872#551—516no—
873#546—516no—
874#546—516no—
875#546—516no—
876#546—516no—
877#546—516no—
878#546—516no—
879D42—516no—
880D42—516no—
881#540—516no—
882#540—516no—
883#539—516no—
884#539—516no—
885#539—516no—
886#538—516no—
887#538—516no—
888#538—516no—
889#537—516no—
890#534—516no—
891#534—516no—
892#534—516no—
893C2×#127—51no—
894C2×#127—51no—
895C2×#126—51no—
896C2×#126—51no—
897C2×#126—51no—
898C2×#126—51no—
899C2×#126—51no—
900C2×#126—51no—
901C2×#126C2×D511yescharacteristic, complemented
902C2×#126C2×D511yescharacteristic, complemented
903C2×#125—51no—
904C2×#125—51no—
905C2×#125—51no—
906C2×#125C2×D511yescharacteristic, complemented
907C2×#124—51no—
908C2×#124—51no—
909C2×#124—51no—
910C2×#124—51no—
911C2×#124—51no—
912C2×#124—51no—
913#525—516no—
914C2×#123—51no—
915C2×#123—51no—
916C2×#123—51no—
917C2×#123—51no—
918C2×#123—51no—
919C2×#123—51no—
920C2×#123—51no—
921C2×#123—51no—
922C2×#123—51no—
923C2×#123—51no—
924C2×#123—51no—
925C2×#123—51no—
926C2×#123—51no—
927C2×#123—51no—
928C2×#123—51no—
929C2×#123—51no—
930C2×#123—51no—
931C2×#123—51no—
932C2×#123—51no—
933C2×#123—516no—
934C2×#123—51no—
935C2×#123—51no—
936C2×#123—51no—
937C2×#123—51no—
938C2×#123—51no—
939C2×#123—51no—
940C2×#123—51no—
941C2×#123C2×D511yescharacteristic, complemented
942C2×#123C2×D511yescharacteristic, complemented
943C2×C22⋊Q8—51no—
944C2×C22⋊Q8—51no—
945C2×C22⋊Q8—51no—
946C2×C22⋊Q8—51no—
947C2×C22⋊Q8—51no—
948C2×C22⋊Q8—51no—
949C2×C22⋊Q8—51no—
950C2×C22⋊Q8—51no—
951C2×C22⋊Q8—51no—
952C2×C22⋊Q8—51no—
953C2×C22⋊Q8—51no—
954C2×C22⋊Q8—51no—
955C2×#121—51no—
956C2×#121—51no—
957C2×#121—51no—
958C2×#121—51no—
959C2×#121—51no—
960C2×#121—51no—
961C2×#121—51no—
962C2×#121—51no—
963C2×#121—51no—
964C2×#121—51no—
965C2×#121—51no—
966C2×#121—51no—
967C2×#121—51no—
968C2×#121—51no—
969C2×#121—51no—
970C2×#121—516no—
971C2×#121—51no—
972C2×#121—51no—
973C2×#121—51no—
974C2×#121—51no—
975C2×#121—51no—
976C2×#121—51no—
977C2×#121—51no—
978C2×#121—51no—
979C2×#121—51no—
980C2×#121—51no—
981C2×#121—51no—
982C2×#121—51no—
983C2×#121—51no—
984C2×#121—51no—
985C2×#121—51no—
986C2×#121—51no—
987C2×#121—51no—
988C2×#121C2×D511yescharacteristic, complemented
989C2×#121C2×D511yescharacteristic, complemented
990C2×#121C2×D511yescharacteristic, complemented
991C2×#121C2×D511yescharacteristic, complemented
992C2×#120—51no—
993C2×#120—51no—
994C2×#120—51no—
995C2×#120—51no—
996C2×#120—51no—
997C2×#120—51no—
998C2×#120—51no—
999C2×#120—51no—
1000C2×#120—51no—
1001C2×#120—51no—
1002C2×#120—51no—
1003C2×#120—51no—
1004C2×#120—51no—
1005C2×#120—51no—
1006C2×#120—51no—
1007C2×#120—51no—
1008C2×C4×D4—51no—
1009C2×C4×D4—51no—
1010C2×C4×D4—51no—
1011C2×C4×D4—51no—
1012C2×C4×D4—51no—
1013C2×C4×D4—51no—
1014C2×C4×D4—51no—
1015C2×C4×D4—51no—
1016C2×C4×D4—51no—
1017C2×C4×D4—51no—
1018C2×C4×D4—51no—
1019C2×C4×D4—51no—
1020C2×C4×D4C2×D511yescharacteristic, complemented
1021C2×C4×D4C2×D511yescharacteristic, complemented
1022C2×C4×D4C2×D511yescharacteristic, complemented
1023C2×C4×D4C2×D511yescharacteristic, complemented
1024C2×#117—51no—
1025C2×#117—51no—
1026C2×#117C2×D511yescharacteristic, complemented
1027C22×C4⋊C4—51no—
1028C22×C4⋊C4—51no—
1029C22×C4⋊C4C2×D511yescharacteristic, complemented
1030C22×C22⋊C4—51no—
1031C22×C22⋊C4—51no—
1032C22×C22⋊C4—51no—
1033C22×C22⋊C4—51no—
1034C22×C22⋊C4—51no—
1035C22×C22⋊C4—51no—
1036C22×C22⋊C4—51no—
1037C22×C22⋊C4—51no—
1038C22×C22⋊C4—51no—
1039C23×C5—22no—
1040C23×C5—22no—
1041C23×C5—22no—
1042C23×C5—22no—
1043C23×C5—22no—
1044C23×C5—22no—
1045C23×C5—22no—
1046C23×C5—22no—
1047C23×C5—22no—
1048C23×C5—22no—
1049C23×C5—22no—
1050C23×C5H(5,𝔽2)14yes—
1051C23×C5C2512yes—
1052C23×C5C2512yes—
1053C23×C5C2512yes—
1054C23×C5C2512yes—
1055C23×C5C2511yescharacteristic
1056C22×D5—22no—
1057C22×D5—22no—
1058C22×D5—22no—
1059C22×D5—22no—
1060C22×D5—22no—
1061C22×D5—22no—
1062C22×D5—22no—
1063C22×D5—22no—
1064C22×D5—22no—
1065C22×D5—22no—
1066C22×D5—22no—
1067C22×D5—22no—
1068C22×D5—22no—
1069C22×D5—22no—
1070C22×D5—28no—
1071C22×D5—22no—
1072C22×D5—22no—
1073C22×D5—22no—
1074C22×D5—22no—
1075C22×D5—22no—
1076C22×D5—22no—
1077C22×D5—28no—
1078C22×D5—28no—
1079C22×D5—28no—
1080C22×D5—28no—
1081C22×D5—44no—
1082C22×D5—44no—
1083C22×D5—44no—
1084C22×D5—44no—
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—416no—
1095C22×D5—88no—
1096C22×D5—88no—
1097C22×D5—88no—
1098C22×D5—88no—
1099C22×D5—88no—
1100C22×D5H(5,𝔽2)14yes—
1101C22×D5C2512yes—
1102C22×D5C2512yes—
1103C22×D5C2512yes—
1104C22×D5C2512yes—
1105C22×D5C2512yes—
1106C22×D5C2512yes—
1107C22×D5C2512yes—
1108C5×D4—28no—
1109C5×D4—28no—
1110C5×D4—28no—
1111C5×D4—44no—
1112C5×D4—44no—
1113C5×D4—44no—
1114C2×C4×C5—22no—
1115C2×C4×C5—22no—
1116C2×C4×C5—22no—
1117C2×C4×C5—22no—
1118C2×C4×C5—22no—
1119C2×C4×C5—22no—
1120C2×C4×C5—22no—
1121C2×C4×C5—22no—
1122C2×C4×C5—22no—
1123C2×C4×C5—22no—
1124C2×C4×C5—22no—
1125C2×C4×C5—44no—
1126C2×C4×C5—44no—
1127C2×C4×C5—44no—
1128C2×C4×C5—44no—
1129C2×C4×C5—44no—
1130C2×C4×C5—44no—
1131C2×C4×C5C2512yes—
1132C2×C4×C5C2512yes—
1133C2×C4×C5C2512yes—
1134C2×C4×C5C2512yes—
1135C2×C4×C5C2512yes—
1136C2×C4×C5C2512yes—
1137C2×C4×C5C2512yes—
1138C2×C4×C5C2512yes—
1139C2×C4×C5C2512yes—
1140C2×C4×C5C2512yes—
1141C2×C4×C5C2512yes—
1142C22⋊D5—28no—
1143C22⋊D5—28no—
1144C22⋊D5—28no—
1145C22⋊D5—28no—
1146C22⋊D5—44no—
1147C22⋊D5—44no—
1148C22⋊D5—44no—
1149C22⋊D5—44no—
1150C22⋊D5—44no—
1151C22⋊D5—44no—
1152C22⋊D5—44no—
1153C22⋊D5—44no—
1154C22⋊D5—44no—
1155C22⋊D5—44no—
1156C22⋊D5—44no—
1157C22⋊D5—44no—
1158C2×Dic5—22no—
1159C2×Dic5—22no—
1160C2×Dic5—22no—
1161C2×Dic5—22no—
1162C2×Dic5—22no—
1163C2×Dic5—22no—
1164C2×Dic5—22no—
1165C2×Dic5—22no—
1166C2×Dic5—28no—
1167C2×Dic5—22no—
1168C2×Dic5—44no—
1169C2×Dic5—44no—
1170C2×Dic5—44no—
1171C2×Dic5C2512yes—
1172C2×Dic5C2512yes—
1173C2×Dic5C2512yes—
1174C2×Dic5C2512yes—
1175C2×Dic5C2512yes—
1176C2×Dic5C2512yes—
1177C2×Dic5C2512yes—
1178C2×Dic5C2512yes—
1179C2×Dic5C2512yes—
1180D20—28no—
1181D20—28no—
1182D20—28no—
1183D20—44no—
1184D20—44no—
1185D20—44no—
1186D20—44no—
1187D20—44no—
1188D20—44no—
1189D20—44no—
1190D20—44no—
1191D20—44no—
1192D20—44no—
1193D20—44no—
1194D20—44no—
1195C4×D5—28no—
1196C4×D5—28no—
1197C4×D5—44no—
1198C4×D5—44no—
1199C4×D5—44no—
1200C4×D5—44no—
1201C4×D5—44no—
1202C4×D5—44no—
1203C4×D5—44no—
1204C4×D5—44no—
1205C4×D5—44no—
1206C4×D5—44no—
1207C4×D5—44no—
1208Dic10—44no—
1209Dic10—44no—
1210Dic10—44no—
1211C25—51no—
1212C25—51no—
1213C25—51no—
1214C25—51no—
1215C25—51no—
1216C25—51no—
1217C2×#41—58no—
1218C2×#41—58no—
1219C2×#41—58no—
1220C2×#41—204no—
1221C2×#41—204no—
1222C2×#41—204no—
1223C22×Q8—51no—
1224C22×Q8—51no—
1225C22×Q8—51no—
1226C22×D4—51no—
1227C22×D4—51no—
1228C22×D4—51no—
1229C22×D4—51no—
1230C22×D4—51no—
1231C22×D4—51no—
1232C22×D4—51no—
1233C22×D4—51no—
1234C22×D4—51no—
1235C22×D4—51no—
1236C22×D4—51no—
1237C22×D4—51no—
1238C22×D4—51no—
1239C22×D4—51no—
1240C22×D4—51no—
1241C22×D4—51no—
1242C22×D4—58no—
1243C22×D4—58no—
1244C22×D4—58no—
1245C22×D4—58no—
1246C22×D4—58no—
1247C22×D4—58no—
1248C22×D4—51no—
1249C22×D4—51no—
1250C22×D4—51no—
1251C22×D4—51no—
1252C22×D4—51no—
1253C22×D4—51no—
1254C22×D4—51no—
1255C22×D4—51no—
1256C22×D4—51no—
1257C22×D4—51no—
1258C22×D4—51no—
1259C22×D4—51no—
1260C22×D4—51no—
1261C22×D4—51no—
1262C22×D4—51no—
1263C22×D4—58no—
1264C22×D4—58no—
1265C22×D4—204no—
1266C22×D4—204no—
1267C22×D4—204no—
1268C22×D4—204no—
1269C22×D4—204no—
1270C22×D4—204no—
1271C22×D4—204no—
1272C22×D4—204no—
1273C22×D4C22×D511yescharacteristic
1274C22×D4C22×D511yescharacteristic
1275C22×D4C22×D511yescharacteristic
1276C22×D4C22×D511yescharacteristic
1277C22×D4C22×D511yescharacteristic
1278C22×D4C22×D511yescharacteristic
1279C23×C4—51no—
1280C23×C4—51no—
1281C23×C4—51no—
1282C23×C4—51no—
1283C23×C4—51no—
1284C23×C4—51no—
1285C23×C4—51no—
1286C23×C4—51no—
1287C23×C4—51no—
1288C23×C4—51no—
1289C23×C4—51no—
1290C23×C4—51no—
1291C23×C4—51no—
1292C23×C4—51no—
1293C23×C4—51no—
1294C23×C4—51no—
1295C23×C4—51no—
1296C23×C4—58no—
1297C23×C4—204no—
1298C23×C4C22×D511yescharacteristic
1299C23×C4C22×D511yescharacteristic
1300C23×C4C22×D511yescharacteristic
1301C23×C4C22×D511yescharacteristic
1302C23×C4C22×D511yescharacteristic
1303C23×C4C22×D511yescharacteristic
1304#127—58no—
1305#127—58no—
1306#126—58no—
1307#126—58no—
1308#126—58no—
1309#126—58no—
1310#126—58no—
1311#126—58no—
1312#126C22×D518yescomplemented
1313#126C22×D518yescomplemented
1314#125—58no—
1315#125—58no—
1316#125—58no—
1317#125C22×D518yescomplemented
1318#124—58no—
1319#124—58no—
1320#124—58no—
1321#124—58no—
1322#124—58no—
1323#124—58no—
1324#123—58no—
1325#123—58no—
1326#123—58no—
1327#123—58no—
1328#123—58no—
1329#123—58no—
1330#123—58no—
1331#123—58no—
1332#123—58no—
1333#123—58no—
1334#123—58no—
1335#123—58no—
1336#123—58no—
1337#123—58no—
1338#123—58no—
1339#123—58no—
1340#123—58no—
1341#123—58no—
1342#123—58no—
1343#123—58no—
1344#123—58no—
1345#123—58no—
1346#123—58no—
1347#123—58no—
1348#123—58no—
1349#123—58no—
1350#123C22×D518yescomplemented
1351#123C22×D518yescomplemented
1352C22⋊Q8—58no—
1353C22⋊Q8—58no—
1354C22⋊Q8—58no—
1355C22⋊Q8—58no—
1356C22⋊Q8—58no—
1357C22⋊Q8—58no—
1358C22⋊Q8—58no—
1359C22⋊Q8—58no—
1360C22⋊Q8—58no—
1361C22⋊Q8—58no—
1362C22⋊Q8—58no—
1363C22⋊Q8—58no—
1364#121—58no—
1365#121—58no—
1366#121—58no—
1367#121—58no—
1368#121—58no—
1369#121—58no—
1370#121—58no—
1371#121—58no—
1372#121—58no—
1373#121—58no—
1374#121—58no—
1375#121—58no—
1376#121—58no—
1377#121—58no—
1378#121—58no—
1379#121—58no—
1380#121—58no—
1381#121—58no—
1382#121—58no—
1383#121—58no—
1384#121—58no—
1385#121—58no—
1386#121—58no—
1387#121—58no—
1388#121—58no—
1389#121—58no—
1390#121—58no—
1391#121—58no—
1392#121—58no—
1393#121—58no—
1394#121—58no—
1395#121—58no—
1396#121C22×D518yescomplemented
1397#121C22×D518yescomplemented
1398#121C22×D518yescomplemented
1399#121C22×D518yescomplemented
1400#120—58no—
1401#120—58no—
1402#120—58no—
1403#120—58no—
1404#120—58no—
1405#120—58no—
1406#120—58no—
1407#120—58no—
1408#120—58no—
1409#120—58no—
1410#120—58no—
1411#120—58no—
1412#120—58no—
1413#120—58no—
1414#120—58no—
1415#120—58no—
1416C4×D4—58no—
1417C4×D4—58no—
1418C4×D4—58no—
1419C4×D4—58no—
1420C4×D4—58no—
1421C4×D4—58no—
1422C4×D4—58no—
1423C4×D4—58no—
1424C4×D4—58no—
1425C4×D4—58no—
1426C4×D4—58no—
1427C4×D4—58no—
1428C4×D4C22×D518yescomplemented
1429C4×D4C22×D518yescomplemented
1430C4×D4C22×D518yescomplemented
1431C4×D4C22×D518yescomplemented
1432#117—58no—
1433#117—58no—
1434#117C22×D518yescomplemented
1435C2×C4⋊C4—51no—
1436C2×C4⋊C4—51no—
1437C2×C4⋊C4—51no—
1438C2×C4⋊C4—51no—
1439C2×C4⋊C4—51no—
1440C2×C4⋊C4—51no—
1441C2×C4⋊C4—51no—
1442C2×C4⋊C4—58no—
1443C2×C4⋊C4—51no—
1444C2×C4⋊C4—51no—
1445C2×C4⋊C4—51no—
1446C2×C4⋊C4—51no—
1447C2×C4⋊C4—51no—
1448C2×C4⋊C4—51no—
1449C2×C4⋊C4—51no—
1450C2×C4⋊C4—51no—
1451C2×C4⋊C4—51no—
1452C2×C4⋊C4—51no—
1453C2×C4⋊C4—51no—
1454C2×C4⋊C4—51no—
1455C2×C4⋊C4—51no—
1456C2×C4⋊C4—58no—
1457C2×C4⋊C4C22×D511yescharacteristic
1458C2×C4⋊C4C22×D511yescharacteristic
1459C2×C4⋊C4C22×D511yescharacteristic
1460C2×C4⋊C4C22×D511yescharacteristic
1461C2×C4⋊C4C22×D511yescharacteristic
1462C2×C4⋊C4C22×D511yescharacteristic
1463C2×C4⋊C4C22×D511yescharacteristic
1464C2×C4⋊C4C22×D511yescharacteristic
1465C2×C4⋊C4C22×D511yescharacteristic
1466C2×C4⋊C4C22×D511yescharacteristic
1467C2×C4⋊C4C22×D518yescomplemented
1468C2×C22⋊C4—51no—
1469C2×C22⋊C4—51no—
1470C2×C22⋊C4—51no—
1471C2×C22⋊C4—51no—
1472C2×C22⋊C4—51no—
1473C2×C22⋊C4—51no—
1474C2×C22⋊C4—51no—
1475C2×C22⋊C4—51no—
1476C2×C22⋊C4—51no—
1477C2×C22⋊C4—51no—
1478C2×C22⋊C4—51no—
1479C2×C22⋊C4—51no—
1480C2×C22⋊C4—51no—
1481C2×C22⋊C4—51no—
1482C2×C22⋊C4—51no—
1483C2×C22⋊C4—51no—
1484C2×C22⋊C4—51no—
1485C2×C22⋊C4—51no—
1486C2×C22⋊C4—51no—
1487C2×C22⋊C4—51no—
1488C2×C22⋊C4—51no—
1489C2×C22⋊C4—51no—
1490C2×C22⋊C4—51no—
1491C2×C22⋊C4—51no—
1492C2×C22⋊C4—51no—
1493C2×C22⋊C4—51no—
1494C2×C22⋊C4—51no—
1495C2×C22⋊C4—51no—
1496C2×C22⋊C4—51no—
1497C2×C22⋊C4—58no—
1498C2×C22⋊C4—58no—
1499C2×C22⋊C4—58no—
1500C2×C22⋊C4—58no—
1501C2×C22⋊C4—58no—
1502C2×C22⋊C4—51no—
1503C2×C22⋊C4—51no—
1504C2×C22⋊C4—51no—
1505C2×C22⋊C4—51no—
1506C2×C22⋊C4—51no—
1507C2×C22⋊C4—51no—
1508C2×C22⋊C4—51no—
1509C2×C22⋊C4—51no—
1510C2×C22⋊C4—51no—
1511C2×C22⋊C4—51no—
1512C2×C22⋊C4—51no—
1513C2×C22⋊C4—58no—
1514C2×C22⋊C4—58no—
1515C2×C22⋊C4—58no—
1516C2×C22⋊C4—58no—
1517C2×C22⋊C4C22×D511yescharacteristic
1518C2×C22⋊C4C22×D511yescharacteristic
1519C2×C22⋊C4C22×D511yescharacteristic
1520C2×C22⋊C4C22×D511yescharacteristic
1521C2×C22⋊C4C22×D511yescharacteristic
1522C2×C22⋊C4C22×D511yescharacteristic
1523C2×C22⋊C4C22×D511yescharacteristic
1524C2×C22⋊C4C22×D511yescharacteristic
1525C2×C22⋊C4C22×D511yescharacteristic
1526C2×C22⋊C4C22×D511yescharacteristic
1527C2×C42—51no—
1528C2×C42—51no—
1529C2×C42—51no—
1530C2×C42C22×D511yescharacteristic
1531C2×C42C22×D511yescharacteristic
1532C2×C42C22×D511yescharacteristic
1533C22×C5—22no—
1534C22×C5—22no—
1535C22×C5—28no—
1536C22×C5—22no—
1537C22×C5—22no—
1538C22×C5—22no—
1539C22×C5—22no—
1540C22×C5—22no—
1541C22×C5—22no—
1542C22×C5—22no—
1543C22×C5—22no—
1544C22×C5—22no—
1545C22×C5—44no—
1546C22×C5—44no—
1547C22×C5—44no—
1548C22×C5C2×H(5,𝔽2)14yes—
1549C22×C5C2×H(5,𝔽2)12yes—
1550C22×C5C2×H(5,𝔽2)12yes—
1551C22×C5#58512yes—
1552C22×C5C2611yescharacteristic
1553C2×D5—22no—
1554C2×D5—22no—
1555C2×D5—28no—
1556C2×D5—22no—
1557C2×D5—22no—
1558C2×D5—22no—
1559C2×D5—22no—
1560C2×D5—22no—
1561C2×D5—22no—
1562C2×D5—22no—
1563C2×D5—22no—
1564C2×D5—22no—
1565C2×D5—22no—
1566C2×D5—22no—
1567C2×D5—22no—
1568C2×D5—22no—
1569C2×D5—22no—
1570C2×D5—22no—
1571C2×D5—22no—
1572C2×D5—22no—
1573C2×D5—22no—
1574C2×D5—416no—
1575C2×D5—44no—
1576C2×D5—44no—
1577C2×D5—44no—
1578C2×D5—44no—
1579C2×D5—44no—
1580C2×D5—44no—
1581C2×D5—88no—
1582C2×D5—88no—
1583C2×D5—88no—
1584C2×D5—88no—
1585C2×D5—88no—
1586C2×D5C2×H(5,𝔽2)14yes—
1587C4×C5—22no—
1588C4×C5—22no—
1589C4×C5—22no—
1590C4×C5—22no—
1591C4×C5—22no—
1592C4×C5—22no—
1593C4×C5—22no—
1594C4×C5—22no—
1595C4×C5—22no—
1596C4×C5—22no—
1597C4×C5—22no—
1598Dic5—22no—
1599Dic5—22no—
1600Dic5—22no—
1601Dic5—22no—
1602Dic5—22no—
1603Dic5—22no—
1604Dic5—22no—
1605Dic5—22no—
1606Dic5—22no—
1607C24—51no—
1608C24—51no—
1609C24—51no—
1610C24—51no—
1611C24—51no—
1612C24—51no—
1613C24—51no—
1614C24—54no—
1615C24—54no—
1616C24—54no—
1617C24—54no—
1618C24—54no—
1619C24—54no—
1620C24—104no—
1621C24—104no—
1622C24—104no—
1623C24—104no—
1624C24—104no—
1625C24—202no—
1626C24—202no—
1627C24—202no—
1628C24—202no—
1629C24—202no—
1630C24—202no—
1631C24—202no—
1632C24—202no—
1633C24—202no—
1634C24—202no—
1635C24—202no—
1636C24—202no—
1637C24—202no—
1638C24C23×D511yescharacteristic
1639C24C23×D511yescharacteristic
1640C24C23×D511yescharacteristic
1641C24C23×D511yescharacteristic
1642#41—2016no—
1643#41—2016no—
1644#41—2016no—
1645C2×Q8—54no—
1646C2×Q8—54no—
1647C2×Q8—54no—
1648C2×Q8—202no—
1649C2×Q8—202no—
1650C2×Q8—202no—
1651C2×D4—24no—
1652C2×D4—24no—
1653C2×D4—24no—
1654C2×D4—42no—
1655C2×D4—42no—
1656C2×D4—42no—
1657C2×D4—54no—
1658C2×D4—54no—
1659C2×D4—54no—
1660C2×D4—54no—
1661C2×D4—54no—
1662C2×D4—54no—
1663C2×D4—54no—
1664C2×D4—54no—
1665C2×D4—54no—
1666C2×D4—54no—
1667C2×D4—54no—
1668C2×D4—54no—
1669C2×D4—54no—
1670C2×D4—54no—
1671C2×D4—54no—
1672C2×D4—54no—
1673C2×D4—54no—
1674C2×D4—54no—
1675C2×D4—54no—
1676C2×D4—54no—
1677C2×D4—54no—
1678C2×D4—54no—
1679C2×D4—54no—
1680C2×D4—54no—
1681C2×D4—54no—
1682C2×D4—54no—
1683C2×D4—54no—
1684C2×D4—54no—
1685C2×D4—54no—
1686C2×D4—54no—
1687C2×D4—54no—
1688C2×D4—104no—
1689C2×D4—104no—
1690C2×D4—104no—
1691C2×D4—104no—
1692C2×D4—104no—
1693C2×D4—104no—
1694C2×D4—104no—
1695C2×D4—202no—
1696C2×D4—202no—
1697C2×D4—202no—
1698C2×D4—202no—
1699C2×D4—202no—
1700C2×D4—202no—
1701C2×D4—202no—
1702C2×D4—202no—
1703C2×D4—202no—
1704C2×D4—202no—
1705C2×D4—202no—
1706C2×D4—202no—
1707C2×D4—2016no—
1708C2×D4—2016no—
1709C2×D4—2016no—
1710C2×D4—202no—
1711C2×D4—202no—
1712C2×D4—202no—
1713C2×D4—202no—
1714C2×D4—202no—
1715C2×D4—202no—
1716C2×D4—202no—
1717C2×D4—202no—
1718C2×D4—202no—
1719C2×D4—202no—
1720C2×D4—202no—
1721C2×D4—202no—
1722C2×D4—2016no—
1723C2×D4—2016no—
1724C2×D4—2016no—
1725C2×D4—2016no—
1726C2×D4—2016no—
1727C2×D4C23×D514yes—
1728C2×D4C23×D514yes—
1729C2×D4C23×D514yes—
1730C2×D4C23×D514yes—
1731C2×D4C23×D514yes—
1732C2×D4C23×D514yes—
1733C22×C4—42no—
1734C22×C4—42no—
1735C22×C4—42no—
1736C22×C4—42no—
1737C22×C4—42no—
1738C22×C4—42no—
1739C22×C4—54no—
1740C22×C4—51no—
1741C22×C4—51no—
1742C22×C4—51no—
1743C22×C4—51no—
1744C22×C4—51no—
1745C22×C4—51no—
1746C22×C4—51no—
1747C22×C4—51no—
1748C22×C4—51no—
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—104no—
1766C22×C4—104no—
1767C22×C4—104no—
1768C22×C4—202no—
1769C22×C4—202no—
1770C22×C4—202no—
1771C22×C4—202no—
1772C22×C4—202no—
1773C22×C4—202no—
1774C22×C4—202no—
1775C22×C4—202no—
1776C22×C4—202no—
1777C22×C4—202no—
1778C22×C4—202no—
1779C22×C4—2016no—
1780C22×C4—202no—
1781C22×C4—202no—
1782C22×C4—202no—
1783C22×C4C23×D511yescharacteristic
1784C22×C4C23×D511yescharacteristic
1785C22×C4C23×D511yescharacteristic
1786C22×C4C23×D511yescharacteristic
1787C22×C4C23×D511yescharacteristic
1788C22×C4C23×D511yescharacteristic
1789C22×C4C23×D511yescharacteristic
1790C22×C4C23×D511yescharacteristic
1791C22×C4C23×D511yescharacteristic
1792C22×C4C23×D511yescharacteristic
1793C22×C4C23×D511yescharacteristic
1794C22×C4C23×D514yes—
1795C22×C4C23×D514yes—
1796C22×C4C23×D514yes—
1797C22×C4C23×D514yes—
1798C22×C4C23×D514yes—
1799C22×C4C23×D514yes—
1800C4⋊C4—54no—
1801C4⋊C4—54no—
1802C4⋊C4—54no—
1803C4⋊C4—54no—
1804C4⋊C4—54no—
1805C4⋊C4—54no—
1806C4⋊C4—54no—
1807C4⋊C4—54no—
1808C4⋊C4—54no—
1809C4⋊C4—54no—
1810C4⋊C4—54no—
1811C4⋊C4—54no—
1812C4⋊C4—54no—
1813C4⋊C4—54no—
1814C4⋊C4—54no—
1815C4⋊C4—54no—
1816C4⋊C4—54no—
1817C4⋊C4—54no—
1818C4⋊C4—54no—
1819C4⋊C4—54no—
1820C4⋊C4C23×D514yes—
1821C4⋊C4C23×D514yes—
1822C4⋊C4C23×D514yes—
1823C4⋊C4C23×D514yes—
1824C4⋊C4C23×D514yes—
1825C4⋊C4C23×D514yes—
1826C4⋊C4C23×D514yes—
1827C4⋊C4C23×D514yes—
1828C4⋊C4C23×D514yes—
1829C4⋊C4C23×D514yes—
1830C22⋊C4—54no—
1831C22⋊C4—54no—
1832C22⋊C4—54no—
1833C22⋊C4—54no—
1834C22⋊C4—54no—
1835C22⋊C4—54no—
1836C22⋊C4—54no—
1837C22⋊C4—54no—
1838C22⋊C4—54no—
1839C22⋊C4—54no—
1840C22⋊C4—54no—
1841C22⋊C4—54no—
1842C22⋊C4—54no—
1843C22⋊C4—54no—
1844C22⋊C4—54no—
1845C22⋊C4—54no—
1846C22⋊C4—54no—
1847C22⋊C4—54no—
1848C22⋊C4—54no—
1849C22⋊C4—54no—
1850C22⋊C4—54no—
1851C22⋊C4—54no—
1852C22⋊C4—54no—
1853C22⋊C4—54no—
1854C22⋊C4—54no—
1855C22⋊C4—54no—
1856C22⋊C4—54no—
1857C22⋊C4—54no—
1858C22⋊C4—54no—
1859C22⋊C4—54no—
1860C22⋊C4—54no—
1861C22⋊C4—54no—
1862C22⋊C4—54no—
1863C22⋊C4—54no—
1864C22⋊C4—54no—
1865C22⋊C4—54no—
1866C22⋊C4—54no—
1867C22⋊C4—54no—
1868C22⋊C4—54no—
1869C22⋊C4—54no—
1870C22⋊C4C23×D514yes—
1871C22⋊C4C23×D514yes—
1872C22⋊C4C23×D514yes—
1873C22⋊C4C23×D514yes—
1874C22⋊C4C23×D514yes—
1875C22⋊C4C23×D514yes—
1876C22⋊C4C23×D514yes—
1877C22⋊C4C23×D514yes—
1878C22⋊C4C23×D514yes—
1879C22⋊C4C23×D514yes—
1880C42—54no—
1881C42—54no—
1882C42—54no—
1883C42C23×D514yes—
1884C42C23×D514yes—
1885C42C23×D514yes—
1886C2×C5—24no—
1887C2×C5—42no—
1888C2×C5—42no—
1889C2×C5—42no—
1890C2×C5#353414yescomplemented
1891C2×C5C22×H(5,𝔽2)11yescharacteristic
1892C2×C5C22×H(5,𝔽2)11yescharacteristic
1893C2×C5C2×#58511yescharacteristic
1894D5—24no—
1895D5—42no—
1896D5—42no—
1897D5—42no—
1898D5—42no—
1899D5—42no—
1900D5—42no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—54no—
1913C23—52no—
1914C23—52no—
1915C23—52no—
1916C23—52no—
1917C23—52no—
1918C23—52no—
1919C23—52no—
1920C23—108no—
1921C23—108no—
1922C23—108no—
1923C23—102no—
1924C23—102no—
1925C23—102no—
1926C23—102no—
1927C23—102no—
1928C23—102no—
1929C23—102no—
1930C23—108no—
1931C23—102no—
1932C23—102no—
1933C23—102no—
1934C23—102no—
1935C23—102no—
1936C23—102no—
1937C23—102no—
1938C23—102no—
1939C23—102no—
1940C23—102no—
1941C23—102no—
1942C23—102no—
1943C23—102no—
1944C23—108no—
1945C23—204no—
1946C23—204no—
1947C23—204no—
1948C23—204no—
1949C23—204no—
1950C23—204no—
1951C23—204no—
1952C23—204no—
1953C23—204no—
1954C23—204no—
1955C23—204no—
1956C23—204no—
1957C23—204no—
1958C23—2016no—
1959C23—408no—
1960C23—408no—
1961C23—408no—
1962C23—408no—
1963C23—408no—
1964C23#414914yes—
1965C23C24×D512yes—
1966C23C24×D512yes—
1967C23C24×D512yes—
1968C23C24×D512yes—
1969C23C24×D511yescharacteristic
1970Q8—204no—
1971Q8—204no—
1972Q8—204no—
1973D4—28no—
1974D4—28no—
1975D4—28no—
1976D4—44no—
1977D4—44no—
1978D4—44no—
1979D4—108no—
1980D4—108no—
1981D4—108no—
1982D4—108no—
1983D4—108no—
1984D4—108no—
1985D4—108no—
1986D4—204no—
1987D4—204no—
1988D4—204no—
1989D4—204no—
1990D4—204no—
1991D4—204no—
1992D4—204no—
1993D4—204no—
1994D4—204no—
1995D4—204no—
1996D4—204no—
1997D4—204no—
1998D4—204no—
1999D4—204no—
2000D4—204no—
2001D4—204no—
2002D4—204no—
2003D4—204no—
2004D4—204no—
2005D4—204no—
2006D4—204no—
2007D4—204no—
2008D4—204no—
2009D4—204no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—44no—
2022C2×C4—44no—
2023C2×C4—44no—
2024C2×C4—44no—
2025C2×C4—44no—
2026C2×C4—44no—
2027C2×C4—52no—
2028C2×C4—52no—
2029C2×C4—52no—
2030C2×C4—52no—
2031C2×C4—52no—
2032C2×C4—52no—
2033C2×C4—52no—
2034C2×C4—52no—
2035C2×C4—52no—
2036C2×C4—108no—
2037C2×C4—108no—
2038C2×C4—102no—
2039C2×C4—102no—
2040C2×C4—108no—
2041C2×C4—102no—
2042C2×C4—102no—
2043C2×C4—102no—
2044C2×C4—102no—
2045C2×C4—102no—
2046C2×C4—102no—
2047C2×C4—102no—
2048C2×C4—204no—
2049C2×C4—204no—
2050C2×C4—204no—
2051C2×C4—204no—
2052C2×C4—204no—
2053C2×C4—204no—
2054C2×C4—204no—
2055C2×C4—204no—
2056C2×C4—204no—
2057C2×C4—204no—
2058C2×C4—204no—
2059C2×C4—204no—
2060C2×C4—204no—
2061C2×C4—204no—
2062C2×C4C24×D512yes—
2063C2×C4C24×D512yes—
2064C2×C4C24×D512yes—
2065C2×C4C24×D512yes—
2066C2×C4C24×D512yes—
2067C2×C4C24×D512yes—
2068C2×C4C24×D512yes—
2069C2×C4C24×D512yes—
2070C2×C4C24×D512yes—
2071C2×C4C24×D512yes—
2072C2×C4C24×D512yes—
2073C5C2×#353411yescharacteristic, complemented, Sylow
2074C22—22no—
2075C22—22no—
2076C22—28no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—22no—
2084C22—22no—
2085C22—22no—
2086C22—44no—
2087C22—44no—
2088C22—44no—
2089C22—54no—
2090C22—102no—
2091C22—102no—
2092C22—108no—
2093C22—102no—
2094C22—102no—
2095C22—102no—
2096C22—102no—
2097C22—102no—
2098C22—102no—
2099C22—102no—
2100C22—102no—
2101C22—102no—
2102C22—102no—
2103C22—102no—
2104C22—102no—
2105C22—102no—
2106C22—102no—
2107C22—102no—
2108C22—102no—
2109C22—102no—
2110C22—102no—
2111C22—2016no—
2112C22—204no—
2113C22—204no—
2114C22—204no—
2115C22—204no—
2116C22—204no—
2117C22—204no—
2118C22—408no—
2119C22—408no—
2120C22—408no—
2121C22—408no—
2122C22—408no—
2123C22C2×#414914yes—
2124C22C2×#414912yes—
2125C22#6628312yes—
2126C22D5×H(5,𝔽2)12yes—
2127C22C25×D511yescharacteristic
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—22no—
2134C4—22no—
2135C4—22no—
2136C4—22no—
2137C4—22no—
2138C4—22no—
2139C4—102no—
2140C4—102no—
2141C4—102no—
2142C4—102no—
2143C4—102no—
2144C4—102no—
2145C4—102no—
2146C4—102no—
2147C4—102no—
2148C2—24no—
2149C2—42no—
2150C2—42no—
2151C2—42no—
2152C2—104no—
2153C2—202no—
2154C2—202no—
2155C2—202no—
2156C2—202no—
2157C2—202no—
2158C2—202no—
2159C2#1061881614yesdirect product factor
2160C2C22×#414911yescharacteristic
2161C2C2×#6628311yescharacteristic
2162C2C2×D5×H(5,𝔽2)11yescharacteristic
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×#553C2
socleC23×C5C25
hypercenterC2×#553D5
hypocenterC5C2×#3534
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. C2×C5×#553C2semidirect
2. #10618816C2direct (N × H)
3. C2×#66045C2semidirect
4. C2×#66039C2semidirect
5. C2×#66041C2semidirect
6. C2×#66038C2semidirect
7. C2×#66034C2semidirect
8. C2×#66026C2semidirect
9. C2×#66001C2semidirect
10. C2×#65988C2semidirect
11. C2×#65987C2semidirect
12. C2×#65997C2semidirect
13. C2×#65954C2semidirect
14. C2×#65944C2semidirect
15. C2×#65944C2semidirect
16. C2×#65943C2semidirect
17. C2×#65939C2semidirect
18. C2×#65939C2semidirect
19. C2×D5×#121C2semidirect
20. C2×#65931C2semidirect
21. C2×#65884C2semidirect
22. C2×#65888C2semidirect
23. C2×#65888C2semidirect
24. C2×D4×D20C2semidirect
25. C2×#65894C2semidirect
26. C2×#65894C2semidirect
27. C2×#65881C2semidirect
28. C2×#65898C2semidirect
29. C2×#65861C2semidirect
30. C2×#65869C2semidirect
31. C2×#65848C2semidirect
32. C22×#4040C2semidirect
33. C22×#711C22semidirect
34. C22×#711C22semidirect
35. C22×D4×D5C22semidirect
36. C22×D4×D5C22semidirect
37. C22×D4×D5C22semidirect
38. C22×D4×D5C22semidirect
39. C22×D4×D5C22semidirect
40. C22×D4×D5C22semidirect
41. C22×#709C22semidirect
43. C23×D20C22semidirect
44. C23×C4×D5C22semidirect
45. C5×#553C22semidirect
46. C2×C5×#126C22semidirect
47. C2×C5×#126C22semidirect
48. C2×C5×#125C22semidirect
49. C2×C5×#123C22semidirect
50. C2×C5×#123C22semidirect
51. C2×C5×#121C22semidirect
52. C2×C5×#121C22semidirect
53. C2×C5×#121C22semidirect
54. C2×C5×#121C22semidirect
55. C2×C4×C5×D4C22semidirect
56. C2×C4×C5×D4C22semidirect
57. C2×C4×C5×D4C22semidirect
58. C2×C4×C5×D4C22semidirect
59. C2×C5×#117C22semidirect
60. C22×C5×C4⋊C4C22semidirect
61. C2×#4086C22semidirect
63. C2×#4085C22semidirect
64. C2×#4085C22semidirect
65. C2×#4085C22semidirect
66. C2×#4085C22semidirect
67. C2×#4085C22semidirect
68. C2×#4085C22semidirect
69. C2×#4084C22semidirect
70. C2×#4083C22semidirect
71. C2×#4083C22semidirect
72. C2×#4083C22semidirect
73. C2×#4083C22semidirect
74. C2×#4083C22semidirect
75. C2×#4083C22semidirect
76. C2×#4081C22semidirect
77. C2×#4076C22semidirect
78. C2×#4076C22semidirect
79. C2×#4076C22semidirect
80. C2×#4076C22semidirect
81. C2×#4076C22semidirect
82. C2×#4076C22semidirect
83. C2×#4076C22semidirect
84. C2×#4075C22semidirect
85. C2×#4075C22semidirect
86. C2×C4×C22⋊D5C22semidirect
87. C2×C4×C22⋊D5C22semidirect
88. C2×C4×C22⋊D5C22semidirect
89. C2×C4×C22⋊D5C22semidirect
90. C22×#685C22semidirect
91. C22×#685C22semidirect
92. C22×#685C22semidirect
93. C22×#685C22semidirect
94. C22×#685C22semidirect
95. C2×#4070C22semidirect
96. C22×#683C22semidirect
97. #66045C22semidirect
98. #66041C22semidirect
99. #66039C22semidirect
100. #66038C22semidirect
101. #66034C22semidirect
102. #66026C22semidirect
103. #66001C22semidirect
104. #65997C22semidirect
105. #65988C22semidirect
106. #65987C22semidirect
107. #65954C22semidirect
108. #65944C22semidirect
109. #65944C22semidirect
110. #65943C22semidirect
111. #65939C22semidirect
112. #65939C22semidirect
113. D5×#121C22semidirect
114. #65931C22semidirect
115. #65898C22semidirect
116. #65894C22semidirect
117. #65894C22semidirect
118. #65888C22semidirect
119. #65888C22semidirect
120. #65884C22semidirect
121. D4×D20C22semidirect
122. #65881C22semidirect
123. #65869C22semidirect
124. #65861C22semidirect
125. #65848C22semidirect
126. C2×#4044C22semidirect
127. C2×#4044C22semidirect
128. C2×#4044C22semidirect
129. C2×#4043C22semidirect
130. C2×#4043C22semidirect
131. C2×#4042C22semidirect
132. C2×#4042C22semidirect
133. C2×#4042C22semidirect
134. C2×#4042C22semidirect
135. C2×#4042C22semidirect
136. C2×#4042C22semidirect
138. C2×#4041C22semidirect
139. C2×#4041C22semidirect
140. C2×#4041C22semidirect
141. C2×#4041C22semidirect
142. C2×#4041C22semidirect
143. C2×#4041C22semidirect
144. C2×#4040C22semidirect
145. C2×#4040C22semidirect
146. C2×#4040C22semidirect
147. C2×#4040C22semidirect
148. C2×#4040C22semidirect
149. C2×#4040C22semidirect
150. C2×#4040C22semidirect
151. C2×#4040C22semidirect
152. C2×#4040C22semidirect
153. C2×#4040C22semidirect
154. C2×#4040C22semidirect
155. C2×#4040C22semidirect
156. C2×#4040C22semidirect
157. C2×#4040C22semidirect
158. C2×#4040C22semidirect
159. C2×#4040C22semidirect
160. C2×#4040C22semidirect
161. C2×#4039C22semidirect
162. C2×#4039C22semidirect
163. C2×#4038C22semidirect
164. C2×D5×C4⋊C4C22semidirect
165. C2×#4036C22semidirect
166. C2×#4035C22semidirect
167. C2×#4032C22semidirect
168. C2×#4032C22semidirect
169. C2×#4032C22semidirect
170. C2×#4031C22semidirect
171. C2×#4031C22semidirect
172. C2×#4031C22semidirect
174. C2×#4030C22semidirect
175. C2×#4030C22semidirect
176. C2×#4030C22semidirect
177. C2×#4030C22semidirect
178. C2×#4030C22semidirect
179. C2×#4030C22semidirect
180. C2×#4030C22semidirect
181. C2×#4030C22semidirect
182. C2×#4030C22semidirect
183. C2×#4029C22semidirect
184. C2×#4029C22semidirect
185. C2×#4029C22semidirect
186. C2×#4029C22semidirect
189. C2×#4028C22semidirect
190. C2×#4028C22semidirect
191. C2×#4028C22semidirect
192. C2×#4028C22semidirect
193. C2×#4028C22semidirect
194. C2×#4028C22semidirect
195. C2×#4028C22semidirect
196. C2×#4028C22semidirect
197. C2×#4027C22semidirect
198. C2×#4027C22semidirect
199. C2×D5×C22⋊C4C22semidirect
200. C2×D5×C22⋊C4C22semidirect
201. C2×D5×C22⋊C4C22semidirect
202. C2×D5×C22⋊C4C22semidirect
203. C2×#4025C22semidirect
204. C2×#4024C22semidirect
205. C2×#4024C22semidirect
206. C2×#4024C22semidirect
207. C2×#4022C22semidirect
208. C2×#4022C22semidirect
209. C2×#4021C22semidirect
210. C2×#4021C22semidirect
211. C2×#4021C22semidirect
212. C2×#4020C22semidirect
213. C2×C4×D20C22semidirect
214. C2×C4×D20C22semidirect
215. C2×C4×D20C22semidirect
216. C2×C4×D20C22semidirect
217. C2×#4018C22semidirect
218. C2×#4016C22semidirect
260. C2×#711C23semidirect
261. C2×#711C23semidirect
268. C2×D4×D5C23semidirect
269. C2×D4×D5C23semidirect
270. C2×D4×D5C23semidirect
271. C2×D4×D5C23semidirect
272. C2×D4×D5C23semidirect
273. C2×D4×D5C23semidirect
275. C2×#709C23semidirect
294. C22×D20C23semidirect
309. C22×C4×D5C23semidirect
313. C5×#126C23semidirect
314. C5×#126C23semidirect
315. C5×#125C23semidirect
316. C5×#123C23semidirect
317. C5×#123C23semidirect
318. C5×#121C23semidirect
319. C5×#121C23semidirect
320. C5×#121C23semidirect
321. C5×#121C23semidirect
322. C4×C5×D4C23semidirect
323. C4×C5×D4C23semidirect
324. C4×C5×D4C23semidirect
325. C4×C5×D4C23semidirect
326. C5×#117C23semidirect
337. C2×C5×C4⋊C4C23semidirect
357. #4086C23semidirect
359. #4085C23semidirect
360. #4085C23semidirect
361. #4085C23semidirect
362. #4085C23semidirect
363. #4085C23semidirect
364. #4085C23semidirect
365. #4084C23semidirect
366. #4083C23semidirect
367. #4083C23semidirect
368. #4083C23semidirect
369. #4083C23semidirect
370. #4083C23semidirect
371. #4083C23semidirect
372. #4081C23semidirect
373. #4076C23semidirect
374. #4076C23semidirect
375. #4076C23semidirect
376. #4076C23semidirect
377. #4076C23semidirect
378. #4076C23semidirect
379. #4076C23semidirect
380. #4075C23semidirect
381. #4075C23semidirect
382. C4×C22⋊D5C23semidirect
383. C4×C22⋊D5C23semidirect
384. C4×C22⋊D5C23semidirect
385. C4×C22⋊D5C23semidirect
420. C2×#685C23semidirect
421. C2×#685C23semidirect
422. C2×#685C23semidirect
423. C2×#685C23semidirect
424. C2×#685C23semidirect
431. #4070C23semidirect
446. C2×#683C23semidirect
450. #4044C23semidirect
451. #4044C23semidirect
452. #4044C23semidirect
453. #4043C23semidirect
454. #4043C23semidirect
455. #4042C23semidirect
456. #4042C23semidirect
457. #4042C23semidirect
458. #4042C23semidirect
459. #4042C23semidirect
460. #4042C23semidirect
462. #4041C23semidirect
463. #4041C23semidirect
464. #4041C23semidirect
465. #4041C23semidirect
466. #4041C23semidirect
467. #4041C23semidirect
468. #4040C23semidirect
469. #4040C23semidirect
470. #4040C23semidirect
471. #4040C23semidirect
472. #4040C23semidirect
473. #4040C23semidirect
474. #4040C23semidirect
475. #4040C23semidirect
476. #4040C23semidirect
477. #4040C23semidirect
478. #4040C23semidirect
479. #4040C23semidirect
480. #4040C23semidirect
481. #4040C23semidirect
482. #4040C23semidirect
483. #4040C23semidirect
484. #4039C23semidirect
485. #4039C23semidirect
486. #4038C23semidirect
487. D5×C4⋊C4C23semidirect
488. #4036C23semidirect
489. #4035C23semidirect
490. #4032C23semidirect
491. #4032C23semidirect
492. #4032C23semidirect
493. #4031C23semidirect
494. #4031C23semidirect
495. #4031C23semidirect
497. #4030C23semidirect
498. #4030C23semidirect
499. #4030C23semidirect
500. #4030C23semidirect
501. #4030C23semidirect
502. #4030C23semidirect
503. #4030C23semidirect
504. #4030C23semidirect
505. #4030C23semidirect
506. #4029C23semidirect
507. #4029C23semidirect
508. #4029C23semidirect
509. #4029C23semidirect
512. #4028C23semidirect
513. #4028C23semidirect
514. #4028C23semidirect
515. #4028C23semidirect
516. #4028C23semidirect
517. #4028C23semidirect
518. #4028C23semidirect
519. #4028C23semidirect
520. #4027C23semidirect
521. #4027C23semidirect
522. D5×C22⋊C4C23semidirect
523. D5×C22⋊C4C23semidirect
524. D5×C22⋊C4C23semidirect
525. D5×C22⋊C4C23semidirect
526. #4025C23semidirect
527. #4024C23semidirect
528. #4024C23semidirect
529. #4024C23semidirect
530. #4022C23semidirect
531. #4022C23semidirect
532. #4021C23semidirect
533. #4021C23semidirect
534. #4021C23semidirect
535. #4020C23semidirect
536. C4×D20C23semidirect
537. C4×D20C23semidirect
538. C4×D20C23semidirect
539. C4×D20C23semidirect
540. #4018C23semidirect
541. #4016C23semidirect
548. C2×#553D5semidirect
870. #553C2×D5semidirect
901. C2×#126C2×D5semidirect
902. C2×#126C2×D5semidirect
906. C2×#125C2×D5semidirect
941. C2×#123C2×D5semidirect
942. C2×#123C2×D5semidirect
988. C2×#121C2×D5semidirect
989. C2×#121C2×D5semidirect
990. C2×#121C2×D5semidirect
991. C2×#121C2×D5semidirect
1020. C2×C4×D4C2×D5semidirect
1021. C2×C4×D4C2×D5semidirect
1022. C2×C4×D4C2×D5semidirect
1023. C2×C4×D4C2×D5semidirect
1026. C2×#117C2×D5semidirect
1029. C22×C4⋊C4C2×D5semidirect
1312. #126C22×D5semidirect
1313. #126C22×D5semidirect
1317. #125C22×D5semidirect
1350. #123C22×D5semidirect
1351. #123C22×D5semidirect
1396. #121C22×D5semidirect
1397. #121C22×D5semidirect
1398. #121C22×D5semidirect
1399. #121C22×D5semidirect
1428. C4×D4C22×D5semidirect
1429. C4×D4C22×D5semidirect
1430. C4×D4C22×D5semidirect
1431. C4×D4C22×D5semidirect
1434. #117C22×D5semidirect
1467. C2×C4⋊C4C22×D5semidirect
1890. C2×C5#3534semidirect
2073. C5C2×#3534semidirect
2159. C2#10618816direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5532
#106188162
C2×#660452
C2×#660392
C2×#660412
C2×#660382
C2×#660342
C2×#660262
C2×#660012
C2×#659882
C2×#659872
C2×#659972
C2×#659542
C2×#659442
C2×#659432
C2×#659392
C2×D5×#1212
C2×#659312
C2×#658842
C2×#658882
C2×D4×D202
C2×#658942
C2×#658812
C2×#658982
C2×#658612
C2×#658692
C2×#658482
C22×#40402
C2×#35345