Finite Group Databasebeta

← C2×#10617950 #13006561

Subgroups — C2×#10617950 #13006561

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×#525C211yesmaximal, characteristic, complemented
2C2×#66163C211yesmaximal, characteristic, complemented
3C2×#66158C211yesmaximal, characteristic, complemented
4C2×#66125C211yesmaximal, characteristic, complemented
5C22×#4075C211yesmaximal, characteristic, complemented
6#10617950C2132yesmaximal, direct product factor
7C2×#65992C211yesmaximal, characteristic, complemented
8C2×#65989C211yesmaximal, characteristic, complemented
9C2×#65988C211yesmaximal, characteristic, complemented
10C2×#65984C211yesmaximal, characteristic, complemented
11C2×#65981C211yesmaximal, characteristic, complemented
12C2×#65972C211yesmaximal, characteristic, complemented
13C2×#65980C211yesmaximal, characteristic, complemented
14C2×#65974C211yesmaximal, characteristic, complemented
15C2×#65955C211yesmaximal, characteristic, complemented
16C2×#65954C211yesmaximal, characteristic, complemented
17C2×#65947C211yesmaximal, characteristic, complemented
18C2×#65949C211yesmaximal, characteristic, complemented
19C2×#65923C211yesmaximal, characteristic, complemented
20C2×#65927C211yesmaximal, characteristic, complemented
21C2×#65927C211yesmaximal, characteristic, complemented
22C2×#65926C211yesmaximal, characteristic, complemented
23C2×#65892C211yesmaximal, characteristic, complemented
24C2×#65890C211yesmaximal, characteristic, complemented
25C2×#65895C211yesmaximal, characteristic, complemented
26C2×#65896C211yesmaximal, characteristic, complemented
27C2×#65894C211yesmaximal, characteristic, complemented
28C2×#65893C211yesmaximal, characteristic, complemented
29C2×#65874C211yesmaximal, characteristic, complemented
30C2×#65898C211yesmaximal, characteristic, complemented
31C2×#65861C211yesmaximal, characteristic, complemented
32C2×#65865C211yesmaximal, characteristic, complemented
33C22×C5×#41C2211yescharacteristic
34C24×C4×C5C2211yescharacteristic, complemented
35C23×C22⋊D5C2211yescharacteristic
36C22×#711C2211yescharacteristic, complemented
37C22×D4×D5C2211yescharacteristic
38C22×#709C2211yescharacteristic
39C5×#525C22116yescomplemented
40C2×C5×#123C2211yescharacteristic
41C2×C5×#123C2211yescharacteristic, complemented
42C2×C5×C22⋊Q8C2211yescharacteristic, complemented
43C2×C5×C22⋊Q8C2211yescharacteristic, complemented
44C2×C5×#121C2211yescharacteristic, complemented
45C2×C5×#121C2211yescharacteristic, complemented
46C2×C5×#120C2211yescharacteristic
47C2×C5×#120C2211yescharacteristic, complemented
48C2×C4×C5×D4C2211yescharacteristic, complemented
49C2×C4×C5×D4C2211yescharacteristic, complemented
50C2×C4×C5×D4C2211yescharacteristic, complemented
51C2×C4×C5×D4C2211yescharacteristic, complemented
52C2×C5×#117C2211yescharacteristic, complemented
53C2×#4099C2211yescharacteristic
54C2×#4099C2211yescharacteristic, complemented
55C22×C22⋊Dic5C2211yescharacteristic, complemented
56#66163C22116yescomplemented
57#66158C22116yescomplemented
58C2×#4093C2211yescharacteristic, complemented
59C2×#4092C2211yescharacteristic, complemented
60C2×#4092C2211yescharacteristic, complemented
61C2×#4090C2211yescharacteristic, complemented
62C2×#4086C2211yescharacteristic
63C2×#4086C2211yescharacteristic, complemented
64C2×#4085C2211yescharacteristic
65C2×#4085C2211yescharacteristic
66C2×#4085C2211yescharacteristic
67C2×#4085C2211yescharacteristic, complemented
68C2×#4085C2211yescharacteristic, complemented
69C2×#4085C2211yescharacteristic, complemented
70C2×#4085C2211yescharacteristic, complemented
71C2×#4085C2211yescharacteristic, complemented
72C2×#4084C2211yescharacteristic
73C2×#4084C2211yescharacteristic
74C2×#4084C2211yescharacteristic, complemented
75C2×#4084C2211yescharacteristic, complemented
76C2×#4083C2211yescharacteristic
77C2×#4083C2211yescharacteristic
78C2×#4083C2211yescharacteristic
79C2×#4083C2211yescharacteristic, complemented
80C2×#4082C2211yescharacteristic, complemented
81C2×#4082C2211yescharacteristic, complemented
82C2×#4081C2211yescharacteristic
83C2×#4081C2211yescharacteristic, complemented
84C2×#4081C2211yescharacteristic, complemented
85C2×#4081C2211yescharacteristic, complemented
86C2×D4×Dic5C2211yescharacteristic
87C2×D4×Dic5C2211yescharacteristic, complemented
88#66125C22116yescomplemented
89C2×#4076C2211yescharacteristic, complemented
90C2×#4076C2211yescharacteristic, complemented
91C2×#4076C2211yescharacteristic, complemented
92C2×#4075C2211yescharacteristic
93C2×#4075C2211yescharacteristic
94C2×#4075C2211yescharacteristic
95C2×#4075C2211yescharacteristic
96C2×#4075C2211yescharacteristic
97C2×#4075C2211yescharacteristic, complemented
98C2×#4075C2211yescharacteristic, complemented
99C2×#4075C2211yescharacteristic, complemented
100C2×#4075C2211yescharacteristic, complemented
101C2×#4075C2211yescharacteristic, complemented
102C2×#4075C2211yescharacteristic, complemented
103C2×#4075C2211yescharacteristic, complemented
104C2×#4075C22116yescomplemented
105C2×C4×C22⋊D5C2211yescharacteristic, complemented
106C2×C4×C22⋊D5C2211yescharacteristic, complemented
107C2×C4×C22⋊D5C2211yescharacteristic, complemented
108C2×C4×C22⋊D5C2211yescharacteristic, complemented
109C2×C4×C22⋊D5C2211yescharacteristic, complemented
110C2×C4×C22⋊D5C2211yescharacteristic, complemented
111C22×#685C2211yescharacteristic
112C22×#685C2211yescharacteristic
113C22×#685C2211yescharacteristic, complemented
114C2×#4072C2211yescharacteristic, complemented
115C2×#4070C2211yescharacteristic, complemented
116C2×#4070C2211yescharacteristic, complemented
117C2×#4070C2211yescharacteristic, complemented
118C22×#683C2211yescharacteristic, complemented
119C22×#683C2211yescharacteristic, complemented
120C22×#683C2211yescharacteristic, complemented
121#65992C22116yescomplemented
122#65989C22116yescomplemented
123#65988C22116yescomplemented
124#65984C22116yescomplemented
125#65981C22116yescomplemented
126#65980C22116yescomplemented
127#65974C22116yescomplemented
128#65972C22116yescomplemented
129#65955C22116yescomplemented
130#65954C22116yescomplemented
131#65949C22116yescomplemented
132#65947C22116yescomplemented
133#65927C22116yescomplemented
134#65927C22116yescomplemented
135#65926C22116yescomplemented
136#65923C22116yescomplemented
137#65898C22116yescomplemented
138#65896C22116yescomplemented
139#65895C22116yescomplemented
140#65894C22116yescomplemented
141#65893C22116yescomplemented
142#65892C22116yescomplemented
143#65890C22116yescomplemented
144#65874C22116yescomplemented
145#65865C22116yescomplemented
146#65861C22116yescomplemented
147C2×#4044C2211yescharacteristic, complemented
148C2×#4044C2211yescharacteristic, complemented
149C2×#4044C2211yescharacteristic, complemented
150C2×#4044C2211yescharacteristic, complemented
151C2×#4043C2211yescharacteristic, complemented
152C2×#4042C2211yescharacteristic, complemented
153C2×#4042C2211yescharacteristic, complemented
154C2×#4042C2211yescharacteristic, complemented
155C2×#4042C2211yescharacteristic, complemented
156C2×#4041C2211yescharacteristic, complemented
157C2×#4040C2211yescharacteristic, complemented
158C2×#4040C2211yescharacteristic, complemented
159C2×#4040C2211yescharacteristic, complemented
160C2×#4040C2211yescharacteristic, complemented
161C2×#4039C2211yescharacteristic, complemented
162C2×#4038C2211yescharacteristic, complemented
163C2×D5×C4⋊C4C2211yescharacteristic, complemented
164C2×#4036C2211yescharacteristic, complemented
165C2×#4035C2211yescharacteristic, complemented
166C2×#4035C2211yescharacteristic, complemented
167C2×#4035C2211yescharacteristic, complemented
168C2×#4035C2211yescharacteristic, complemented
169C2×#4034C2211yescharacteristic, complemented
170C2×#4033C2211yescharacteristic, complemented
171C2×#4032C2211yescharacteristic
172C2×#4032C2211yescharacteristic, complemented
173C2×#4031C2211yescharacteristic
174C2×#4031C2211yescharacteristic, complemented
175C2×#4031C2211yescharacteristic, complemented
176C2×#4031C2211yescharacteristic, complemented
177C2×#4031C2211yescharacteristic, complemented
178C2×#4031C2211yescharacteristic, complemented
179C2×#4030C2211yescharacteristic
180C2×#4030C2211yescharacteristic
181C2×#4030C2211yescharacteristic
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×#4028C2211yescharacteristic
192C2×#4028C2211yescharacteristic, complemented
193C2×#4027C2211yescharacteristic
194C2×#4027C2211yescharacteristic, complemented
195C2×#4027C2211yescharacteristic, complemented
196C2×#4027C2211yescharacteristic, complemented
197C2×D5×C22⋊C4C2211yescharacteristic
198C2×D5×C22⋊C4C2211yescharacteristic, complemented
199C2×#4025C2211yescharacteristic, complemented
200C2×#4025C2211yescharacteristic, complemented
201C2×#4025C2211yescharacteristic, complemented
202C2×#4025C2211yescharacteristic, complemented
203C2×#4025C2211yescharacteristic, complemented
204C2×#4025C2211yescharacteristic, complemented
205C2×#4024C2211yescharacteristic, complemented
206C2×#4024C2211yescharacteristic, complemented
207C2×#4024C2211yescharacteristic, complemented
208C2×#4024C2211yescharacteristic, complemented
209C2×#4023C2211yescharacteristic, complemented
210C2×#4023C2211yescharacteristic, complemented
211C2×#4022C2211yescharacteristic, complemented
212C2×#4022C2211yescharacteristic, complemented
213C2×#4021C2211yescharacteristic, complemented
214C2×C4×D20C2211yescharacteristic, complemented
215C2×#4018C2211yescharacteristic, complemented
216C2×#4018C2211yescharacteristic, complemented
217C2×#4016C2211yescharacteristic, complemented
218C2×C4×Dic10C2211yescharacteristic, complemented
219C2×#3533—51nomaximal, Sylow
220C25×C5C2311yescharacteristic
221C24×D5C2311yescharacteristic
222C24×D5C2311yescharacteristic
223C2×C5×#41—44no—
224C2×C5×#41C2318yes—
225C22×C5×Q8C2311yescharacteristic
226C22×C5×D4C2311yescharacteristic
227C22×C5×D4C2311yescharacteristic
228C22×C5×D4C2311yescharacteristic
229C22×C5×D4C2311yescharacteristic
230C22×C5×D4C2311yescharacteristic
231C22×C5×D4C2311yescharacteristic
232C22×C5×D4C2311yescharacteristic
233C23×C4×C5—44no—
234C23×C4×C5C2311yescharacteristic
235C23×C4×C5C2311yescharacteristic
236C23×C4×C5C2311yescharacteristic
237C23×C4×C5C2311yescharacteristic
238C23×C4×C5C2311yescharacteristic
239C23×C4×C5C2311yescharacteristic
240C23×C4×C5C2311yescharacteristic
241C23×C4×C5C2311yescharacteristic
242C23×C4×C5C2318yescomplemented
243C22×C22⋊D5—44no—
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
254C22×C22⋊D5C2311yescharacteristic
255C22×C22⋊D5C2311yescharacteristic
256C22×C22⋊D5C2311yescharacteristic
257C22×C22⋊D5C2311yescharacteristic
258C22×C22⋊D5C2311yescharacteristic
259C22×C22⋊D5C2311yescharacteristic
260C22×C22⋊D5C2318yes—
261C23×Dic5C2311yescharacteristic
262C23×Dic5C2311yescharacteristic
263C23×Dic5C2311yescharacteristic
264C23×Dic5C2311yescharacteristic
265C23×Dic5C2311yescharacteristic
266C23×Dic5C2311yescharacteristic
267C2×#711—44no—
268C2×#711C2318yescomplemented
269C2×D4×D5—44no—
270C2×D4×D5C2318yes—
271C2×#709—44no—
272C2×#709C2318yes—
273C22×D20C2311yescharacteristic
274C22×D20C2311yescharacteristic
275C22×D20C2311yescharacteristic
276C22×D20C2311yescharacteristic
277C22×C4×D5C2311yescharacteristic
278C22×C4×D5C2311yescharacteristic
279C22×C4×D5C2311yescharacteristic
280C22×C4×D5C2311yescharacteristic
281C22×C4×D5C2311yescharacteristic
282C22×C4×D5C2311yescharacteristic
283C22×C4×D5C2311yescharacteristic
284C22×C4×D5C2311yescharacteristic
285C22×Dic10C2311yescharacteristic
286C22×Dic10C2311yescharacteristic
287C22×Dic10C2311yescharacteristic
288C22×Dic10C2311yescharacteristic
289C5×#123C2318yes—
290C5×#123C2318yescomplemented
291C5×C22⋊Q8C2318yescomplemented
292C5×C22⋊Q8C2318yescomplemented
293C5×#121C2318yescomplemented
294C5×#121C2318yescomplemented
295C5×#120C2318yes—
296C5×#120C2318yescomplemented
297C4×C5×D4C2318yescomplemented
298C4×C5×D4C2318yescomplemented
299C4×C5×D4C2318yescomplemented
300C4×C5×D4C2318yescomplemented
301C5×#117C2318yescomplemented
302C2×C5×C4⋊C4C2311yescharacteristic
303C2×C5×C4⋊C4C2311yescharacteristic
304C2×C5×C4⋊C4C2311yescharacteristic
305C2×C5×C4⋊C4C2311yescharacteristic
306C2×C5×C4⋊C4C2311yescharacteristic
307C2×C5×C4⋊C4C2311yescharacteristic
308C2×C5×C22⋊C4C2311yescharacteristic
309C2×C5×C22⋊C4C2311yescharacteristic
310C2×C5×C22⋊C4C2311yescharacteristic
311C2×C5×C22⋊C4C2311yescharacteristic
312C2×C5×C22⋊C4C2311yescharacteristic
313C2×C5×C22⋊C4C2311yescharacteristic
314C2×C5×C22⋊C4C2311yescharacteristic
315C2×C5×C22⋊C4C2311yescharacteristic
316C2×C5×C22⋊C4C2311yescharacteristic
317C2×C5×C22⋊C4C2311yescharacteristic
318C2×C42×C5C2311yescharacteristic
319C2×C42×C5C2311yescharacteristic
320#4099C2318yes—
321#4099C2318yescomplemented
322C2×C22⋊Dic5C2311yescharacteristic
323C2×C22⋊Dic5C2311yescharacteristic
324C2×C22⋊Dic5C2311yescharacteristic
325C2×C22⋊Dic5C2311yescharacteristic
326C2×C22⋊Dic5C2311yescharacteristic
327C2×C22⋊Dic5C2311yescharacteristic
328C2×C22⋊Dic5C2311yescharacteristic
329C2×C22⋊Dic5C2311yescharacteristic
330C2×C22⋊Dic5C2311yescharacteristic
331C2×C22⋊Dic5C2311yescharacteristic
332C2×C22⋊Dic5C2311yescharacteristic
333C2×C22⋊Dic5C2311yescharacteristic
334C2×C22⋊Dic5C2311yescharacteristic
335C2×C22⋊Dic5C2311yescharacteristic
336C2×C22⋊Dic5C2311yescharacteristic
337C2×C22⋊Dic5C2311yescharacteristic
338C2×C22⋊Dic5C2318yescomplemented
339#4093C2318yescomplemented
340#4092C2318yescomplemented
341#4092C2318yescomplemented
342#4090C2318yescomplemented
343#4086C2318yes—
344#4086C2318yescomplemented
345#4085C2318yes—
346#4085C2318yes—
347#4085C2318yes—
348#4085C2318yescomplemented
349#4085C2318yescomplemented
350#4085C2318yescomplemented
351#4085C2318yescomplemented
352#4085C2318yescomplemented
353#4084C2318yes—
354#4084C2318yes—
355#4084C2318yescomplemented
356#4084C2318yescomplemented
357#4083C2318yes—
358#4083C2318yes—
359#4083C2318yes—
360#4083C2318yescomplemented
361#4082C2318yescomplemented
362#4082C2318yescomplemented
363#4081C2318yes—
364#4081C2318yescomplemented
365#4081C2318yescomplemented
366#4081C2318yescomplemented
367D4×Dic5C2318yes—
368D4×Dic5C2318yescomplemented
369#4076C2318yescomplemented
370#4076C2318yescomplemented
371#4076C2318yescomplemented
372#4075C2318yes—
373#4075C2318yes—
374#4075C2318yes—
375#4075C2318yes—
376#4075C2318yes—
377#4075C2318yescomplemented
378#4075C2318yescomplemented
379#4075C2318yescomplemented
380#4075C2318yescomplemented
381#4075C2318yescomplemented
382#4075C2318yescomplemented
383#4075C2318yescomplemented
384C4×C22⋊D5C2318yescomplemented
385C4×C22⋊D5C2318yescomplemented
386C4×C22⋊D5C2318yescomplemented
387C4×C22⋊D5C2318yescomplemented
388C4×C22⋊D5C2318yescomplemented
389C4×C22⋊D5C2318yescomplemented
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×#685C2318yes—
415C2×#685C2318yes—
416C2×#685C2318yescomplemented
417#4072C2318yescomplemented
418C2×C4⋊Dic5C2311yescharacteristic
419C2×C4⋊Dic5C2311yescharacteristic
420C2×C4⋊Dic5C2311yescharacteristic
421C2×C4⋊Dic5C2311yescharacteristic
422C2×C4⋊Dic5C2311yescharacteristic
423C2×C4⋊Dic5C2311yescharacteristic
424C2×C4⋊Dic5C2311yescharacteristic
425C2×C4⋊Dic5C2311yescharacteristic
426#4070C2318yescomplemented
427#4070C2318yescomplemented
428#4070C2318yescomplemented
429C2×#683C2311yescharacteristic
430C2×#683C2311yescharacteristic
431C2×#683C2311yescharacteristic
432C2×#683C2311yescharacteristic
433C2×#683C2311yescharacteristic
434C2×#683C2311yescharacteristic
435C2×#683C2311yescharacteristic
436C2×#683C2311yescharacteristic
437C2×#683C2311yescharacteristic
438C2×#683C2311yescharacteristic
439C2×#683C2311yescharacteristic
440C2×#683C2311yescharacteristic
441C2×#683C2311yescharacteristic
442C2×#683C2311yescharacteristic
443C2×#683C2311yescharacteristic
444C2×#683C2311yescharacteristic
445C2×#683C2311yescharacteristic
446C2×#683C2311yescharacteristic
447C2×#683C2311yescharacteristic
448C2×#683C2311yescharacteristic
449C2×#683C2311yescharacteristic
450C2×#683C2311yescharacteristic
451C2×#683C2311yescharacteristic
452C2×#683C2311yescharacteristic
453C2×#683C2318yescomplemented
454C2×#683C2318yescomplemented
455C2×#683C2318yescomplemented
456C2×C4×Dic5C2311yescharacteristic
457C2×C4×Dic5C2311yescharacteristic
458C2×C4×Dic5C2311yescharacteristic
459C2×C4×Dic5C2311yescharacteristic
460C2×C4×Dic5C2311yescharacteristic
461C2×C4×Dic5C2311yescharacteristic
462C2×C4×Dic5C2311yescharacteristic
463C2×C4×Dic5C2311yescharacteristic
464#4044C2318yescomplemented
465#4044C2318yescomplemented
466#4044C2318yescomplemented
467#4044C2318yescomplemented
468#4043C2318yescomplemented
469#4042C2318yescomplemented
470#4042C2318yescomplemented
471#4042C2318yescomplemented
472#4042C2318yescomplemented
473#4041C2318yescomplemented
474#4040C2318yescomplemented
475#4040C2318yescomplemented
476#4040C2318yescomplemented
477#4040C2318yescomplemented
478#4039C2318yescomplemented
479#4038C2318yescomplemented
480D5×C4⋊C4C2318yescomplemented
481#4036C2318yescomplemented
482#4035C2318yescomplemented
483#4035C2318yescomplemented
484#4035C2318yescomplemented
485#4035C2318yescomplemented
486#4034C2318yescomplemented
487#4033C2318yescomplemented
488#4032C2318yes—
489#4032C2318yescomplemented
490#4031C2318yes—
491#4031C2318yescomplemented
492#4031C2318yescomplemented
493#4031C2318yescomplemented
494#4031C2318yescomplemented
495#4031C2318yescomplemented
496#4030C2318yes—
497#4030C2318yes—
498#4030C2318yes—
499#4030C2318yescomplemented
500#4030C2318yescomplemented
501#4030C2318yescomplemented
502#4029C2318yes—
503#4029C2318yes—
504#4029C2318yescomplemented
505#4029C2318yescomplemented
506#4029C2318yescomplemented
507#4029C2318yescomplemented
508#4028C2318yes—
509#4028C2318yescomplemented
510#4027C2318yes—
511#4027C2318yescomplemented
512#4027C2318yescomplemented
513#4027C2318yescomplemented
514D5×C22⋊C4C2318yes—
515D5×C22⋊C4C2318yescomplemented
516#4025C2318yescomplemented
517#4025C2318yescomplemented
518#4025C2318yescomplemented
519#4025C2318yescomplemented
520#4025C2318yescomplemented
521#4025C2318yescomplemented
522#4024C2318yescomplemented
523#4024C2318yescomplemented
524#4024C2318yescomplemented
525#4024C2318yescomplemented
526#4023C2318yescomplemented
527#4023C2318yescomplemented
528#4022C2318yescomplemented
529#4022C2318yescomplemented
530#4021C2318yescomplemented
531C4×D20C2318yescomplemented
532#4018C2318yescomplemented
533#4018C2318yescomplemented
534#4016C2318yescomplemented
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×#539—51no—
559C2×#538—51no—
560C2×#538—51no—
561C2×#538—51no—
562C2×#538—51no—
563C2×#535—51no—
564C2×#534—51no—
565C2×#525—51no—
566C2×#525D511yescharacteristic, complemented
567C22×#123—51no—
568C24×C5—24no—
569C24×C5—42no—
570C24×C5—42no—
571C24×C5C2411yescharacteristic
572C24×C5C2411yescharacteristic
573C24×C5C2411yescharacteristic
574C24×C5C2411yescharacteristic
575C24×C5C2411yescharacteristic
576C24×C5C2414yes—
577C23×D5—24no—
578C23×D5—42no—
579C23×D5—42no—
580C23×D5—42no—
581C23×D5—42no—
582C23×D5—42no—
583C23×D5C2411yescharacteristic
584C23×D5C2411yescharacteristic
585C23×D5C2411yescharacteristic
586C23×D5C2411yescharacteristic
587C23×D5C2414yes—
588C23×D5C2414yes—
589C5×#41—416no—
590C2×C5×Q8—42no—
591C2×C5×Q8C2414yes—
592C2×C5×D4—24no—
593C2×C5×D4—24no—
594C2×C5×D4—42no—
595C2×C5×D4—42no—
596C2×C5×D4—42no—
597C2×C5×D4—42no—
598C2×C5×D4—42no—
599C2×C5×D4C2414yes—
600C2×C5×D4C2414yes—
601C2×C5×D4C2414yes—
602C2×C5×D4C2414yes—
603C2×C5×D4C2414yes—
604C2×C5×D4C2414yes—
605C2×C5×D4C2414yes—
606C22×C4×C5—24no—
607C22×C4×C5—24no—
608C22×C4×C5—42no—
609C22×C4×C5—42no—
610C22×C4×C5—42no—
611C22×C4×C5—42no—
612C22×C4×C5—416no—
613C22×C4×C5—42no—
614C22×C4×C5—42no—
615C22×C4×C5C2411yescharacteristic
616C22×C4×C5C2411yescharacteristic
617C22×C4×C5C2411yescharacteristic
618C22×C4×C5C2411yescharacteristic
619C22×C4×C5C2411yescharacteristic
620C22×C4×C5C2411yescharacteristic
621C22×C4×C5C2411yescharacteristic
622C22×C4×C5C2411yescharacteristic
623C22×C4×C5C2411yescharacteristic
624C22×C4×C5C2411yescharacteristic
625C22×C4×C5C2414yes—
626C22×C4×C5C2414yes—
627C22×C4×C5C2414yes—
628C22×C4×C5C2414yes—
629C22×C4×C5C2414yes—
630C22×C4×C5C2414yes—
631C22×C4×C5C2414yes—
632C22×C4×C5C2414yes—
633C2×C22⋊D5—24no—
634C2×C22⋊D5—24no—
635C2×C22⋊D5—42no—
636C2×C22⋊D5—42no—
637C2×C22⋊D5—42no—
638C2×C22⋊D5—42no—
639C2×C22⋊D5—42no—
640C2×C22⋊D5—42no—
641C2×C22⋊D5—416no—
642C2×C22⋊D5—42no—
643C2×C22⋊D5—42no—
644C2×C22⋊D5—42no—
645C2×C22⋊D5—42no—
646C2×C22⋊D5—42no—
647C2×C22⋊D5—42no—
648C2×C22⋊D5—42no—
649C2×C22⋊D5—42no—
650C2×C22⋊D5C2414yes—
651C2×C22⋊D5C2414yes—
652C2×C22⋊D5C2414yes—
653C2×C22⋊D5C2414yes—
654C2×C22⋊D5C2414yes—
655C2×C22⋊D5C2414yes—
656C2×C22⋊D5C2414yes—
657C2×C22⋊D5C2414yes—
658C2×C22⋊D5C2414yes—
659C2×C22⋊D5C2414yes—
660C2×C22⋊D5C2414yes—
661C2×C22⋊D5C2414yes—
662C2×C22⋊D5C2414yes—
663C2×C22⋊D5C2414yes—
664C2×C22⋊D5C2414yes—
665C2×C22⋊D5C2414yes—
666C22×Dic5—24no—
667C22×Dic5—42no—
668C22×Dic5—42no—
669C22×Dic5—42no—
670C22×Dic5—42no—
671C22×Dic5—42no—
672C22×Dic5C2411yescharacteristic
673C22×Dic5C2411yescharacteristic
674C22×Dic5C2411yescharacteristic
675C22×Dic5C2411yescharacteristic
676C22×Dic5C2411yescharacteristic
677C22×Dic5C2411yescharacteristic
678C22×Dic5C2411yescharacteristic
679C22×Dic5C2411yescharacteristic
680C22×Dic5C2411yescharacteristic
681C22×Dic5C2411yescharacteristic
682C22×Dic5C2411yescharacteristic
683C22×Dic5C2411yescharacteristic
684C22×Dic5C2414yes—
685C22×Dic5C2414yes—
686C22×Dic5C2414yes—
687C22×Dic5C2414yes—
688C22×Dic5C2414yes—
689C22×Dic5C2414yes—
690#711—416no—
691D4×D5—416no—
692#709—416no—
693C2×D20—42no—
694C2×D20—42no—
695C2×D20—42no—
696C2×D20—42no—
697C2×D20C2414yes—
698C2×D20C2414yes—
699C2×D20C2414yes—
700C2×D20C2414yes—
701C2×C4×D5—42no—
702C2×C4×D5—42no—
703C2×C4×D5—42no—
704C2×C4×D5—42no—
705C2×C4×D5—42no—
706C2×C4×D5—42no—
707C2×C4×D5—42no—
708C2×C4×D5—42no—
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×C22⋊C4C2414yes—
732C5×C22⋊C4C2414yes—
733C5×C22⋊C4C2414yes—
734C5×C22⋊C4C2414yes—
735C5×C22⋊C4C2414yes—
736C5×C22⋊C4C2414yes—
737C5×C22⋊C4C2414yes—
738C5×C22⋊C4C2414yes—
739C5×C22⋊C4C2414yes—
740C5×C22⋊C4C2414yes—
741C42×C5C2414yes—
742C42×C5C2414yes—
743C22⋊Dic5C2414yes—
744C22⋊Dic5C2414yes—
745C22⋊Dic5C2414yes—
746C22⋊Dic5C2414yes—
747C22⋊Dic5C2414yes—
748C22⋊Dic5C2414yes—
749C22⋊Dic5C2414yes—
750C22⋊Dic5C2414yes—
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—
783C4⋊Dic5C2414yes—
784C4⋊Dic5C2414yes—
785C4⋊Dic5C2414yes—
786C4⋊Dic5C2414yes—
787C4⋊Dic5C2414yes—
788C4⋊Dic5C2414yes—
789C4⋊Dic5C2414yes—
790C4⋊Dic5C2414yes—
791#683C2414yes—
792#683C2414yes—
793#683C2414yes—
794#683C2414yes—
795#683C2414yes—
796#683C2414yes—
797#683C2414yes—
798#683C2414yes—
799#683C2414yes—
800#683C2414yes—
801#683C2414yes—
802#683C2414yes—
803#683C2414yes—
804#683C2414yes—
805#683C2414yes—
806#683C2414yes—
807#683C2414yes—
808#683C2414yes—
809#683C2414yes—
810#683C2414yes—
811#683C2414yes—
812#683C2414yes—
813#683C2414yes—
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×#41C2×D511yescharacteristic
826C23×D4—51no—
827C23×D4—51no—
828C24×C4C2×D511yescharacteristic, complemented
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#539—516no—
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×#126—51no—
872C2×#126—51no—
873C2×#125—51no—
874C2×#125—51no—
875C2×#125—51no—
876C2×#125—51no—
877C2×#125—51no—
878C2×#125—51no—
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#525C2×D5116yescomplemented
891C2×#123—51no—
892C2×#123—51no—
893C2×#123—51no—
894C2×#123—51no—
895C2×#123—51no—
896C2×#123—51no—
897C2×#123—51no—
898C2×#123—51no—
899C2×#123—51no—
900C2×#123—51no—
901C2×#123—51no—
902C2×#123—51no—
903C2×#123—51no—
904C2×#123—51no—
905C2×#123—51no—
906C2×#123—51no—
907C2×#123—516no—
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×#123—51no—
919C2×#123—51no—
920C2×#123C2×D511yescharacteristic
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⋊Q8—51no—
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×#121C2×D511yescharacteristic, complemented
961C2×#121C2×D511yescharacteristic, complemented
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×#120C2×D511yescharacteristic
971C2×#120C2×D511yescharacteristic, complemented
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×D4C2×D511yescharacteristic, complemented
989C2×C4×D4C2×D511yescharacteristic, complemented
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×#117C2×D511yescharacteristic, complemented
999C22×C4⋊C4—51no—
1000C22×C4⋊C4—51no—
1001C22×C4⋊C4—51no—
1002C22×C4⋊C4—51no—
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—28no—
1013C23×C5—22no—
1014C23×C5—22no—
1015C23×C5—22no—
1016C23×C5—22no—
1017C23×C5—22no—
1018C23×C5—22no—
1019C23×C5—22no—
1020C23×C5—22no—
1021C23×C5—22no—
1022C23×C5—22no—
1023C23×C5—22no—
1024C23×C5—44no—
1025C23×C5—44no—
1026C23×C5—416no—
1027C23×C5H(5,𝔽2)14yes—
1028C23×C5C2512yes—
1029C23×C5C2512yes—
1030C23×C5C2512yes—
1031C23×C5C2512yes—
1032C23×C5C2512yes—
1033C23×C5C2511yescharacteristic
1034C22×D5—22no—
1035C22×D5—22no—
1036C22×D5—22no—
1037C22×D5—22no—
1038C22×D5—22no—
1039C22×D5—22no—
1040C22×D5—22no—
1041C22×D5—22no—
1042C22×D5—22no—
1043C22×D5—22no—
1044C22×D5—22no—
1045C22×D5—22no—
1046C22×D5—28no—
1047C22×D5—44no—
1048C22×D5—44no—
1049C22×D5—44no—
1050C22×D5—44no—
1051C22×D5—44no—
1052C22×D5—88no—
1053C22×D5—88no—
1054C22×D5C2512yes—
1055C22×D5C2512yes—
1056C22×D5C2512yes—
1057C22×D5C2512yes—
1058C5×Q8—44no—
1059C5×D4—28no—
1060C5×D4—28no—
1061C5×D4—44no—
1062C5×D4—44no—
1063C5×D4—44no—
1064C5×D4—44no—
1065C5×D4—44no—
1066C2×C4×C5—22no—
1067C2×C4×C5—22no—
1068C2×C4×C5—22no—
1069C2×C4×C5—22no—
1070C2×C4×C5—28no—
1071C2×C4×C5—22no—
1072C2×C4×C5—22no—
1073C2×C4×C5—28no—
1074C2×C4×C5—22no—
1075C2×C4×C5—22no—
1076C2×C4×C5—22no—
1077C2×C4×C5—22no—
1078C2×C4×C5—44no—
1079C2×C4×C5—44no—
1080C2×C4×C5—44no—
1081C2×C4×C5—44no—
1082C2×C4×C5—44no—
1083C2×C4×C5—44no—
1084C2×C4×C5C2512yes—
1085C2×C4×C5C2512yes—
1086C2×C4×C5C2512yes—
1087C2×C4×C5C2512yes—
1088C2×C4×C5C2512yes—
1089C2×C4×C5C2512yes—
1090C2×C4×C5C2512yes—
1091C2×C4×C5C2512yes—
1092C2×C4×C5C2512yes—
1093C2×C4×C5C2512yes—
1094C22⋊D5—28no—
1095C22⋊D5—28no—
1096C22⋊D5—44no—
1097C22⋊D5—44no—
1098C22⋊D5—44no—
1099C22⋊D5—44no—
1100C22⋊D5—44no—
1101C22⋊D5—44no—
1102C22⋊D5—44no—
1103C22⋊D5—44no—
1104C22⋊D5—44no—
1105C22⋊D5—44no—
1106C22⋊D5—44no—
1107C22⋊D5—44no—
1108C22⋊D5—44no—
1109C22⋊D5—44no—
1110C2×Dic5—22no—
1111C2×Dic5—22no—
1112C2×Dic5—22no—
1113C2×Dic5—22no—
1114C2×Dic5—28no—
1115C2×Dic5—22no—
1116C2×Dic5—22no—
1117C2×Dic5—22no—
1118C2×Dic5—22no—
1119C2×Dic5—22no—
1120C2×Dic5—22no—
1121C2×Dic5—22no—
1122C2×Dic5—22no—
1123C2×Dic5—44no—
1124C2×Dic5—44no—
1125C2×Dic5—44no—
1126C2×Dic5—44no—
1127C2×Dic5—44no—
1128C2×Dic5C2512yes—
1129C2×Dic5C2512yes—
1130C2×Dic5C2512yes—
1131C2×Dic5C2512yes—
1132C2×Dic5C2512yes—
1133C2×Dic5C2512yes—
1134C2×Dic5C2512yes—
1135C2×Dic5C2512yes—
1136C2×Dic5C2512yes—
1137C2×Dic5C2512yes—
1138C2×Dic5C2512yes—
1139C2×Dic5C2512yes—
1140D20—44no—
1141D20—44no—
1142D20—44no—
1143D20—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—
1158C25C22×D511yescharacteristic
1159C2×#41—44no—
1160C2×#41—58no—
1161C2×#41—58no—
1162C2×#41—204no—
1163C2×#41—204no—
1164C2×#41C22×D518yes—
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—51no—
1183C22×D4—51no—
1184C22×D4—51no—
1185C22×D4—51no—
1186C22×D4—58no—
1187C22×D4—58no—
1188C22×D4—51no—
1189C22×D4—51no—
1190C22×D4—51no—
1191C22×D4—51no—
1192C22×D4—204no—
1193C22×D4—204no—
1194C22×D4C22×D511yescharacteristic
1195C22×D4C22×D511yescharacteristic
1196C22×D4C22×D511yescharacteristic
1197C22×D4C22×D511yescharacteristic
1198C22×D4C22×D511yescharacteristic
1199C22×D4C22×D511yescharacteristic
1200C22×D4C22×D511yescharacteristic
1201C23×C4—44no—
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×C4C22×D511yescharacteristic
1217C23×C4C22×D511yescharacteristic
1218C23×C4C22×D511yescharacteristic
1219C23×C4C22×D511yescharacteristic
1220C23×C4C22×D511yescharacteristic
1221C23×C4C22×D511yescharacteristic
1222C23×C4C22×D511yescharacteristic
1223C23×C4C22×D511yescharacteristic
1224C23×C4C22×D518yescomplemented
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#126—58no—
1240#126—58no—
1241#125—58no—
1242#125—58no—
1243#125—58no—
1244#125—58no—
1245#125—58no—
1246#125—58no—
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#123—58no—
1284#123—58no—
1285#123C22×D518yes—
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⋊Q8—58no—
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#121C22×D518yescomplemented
1326#121C22×D518yescomplemented
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#120C22×D518yes—
1336#120C22×D518yescomplemented
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×D4C22×D518yescomplemented
1354C4×D4C22×D518yescomplemented
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#117C22×D518yescomplemented
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—58no—
1378C2×C4⋊C4—58no—
1379C2×C4⋊C4—58no—
1380C2×C4⋊C4—51no—
1381C2×C4⋊C4—51no—
1382C2×C4⋊C4—51no—
1383C2×C4⋊C4—51no—
1384C2×C4⋊C4—51no—
1385C2×C4⋊C4—51no—
1386C2×C4⋊C4—51no—
1387C2×C4⋊C4—51no—
1388C2×C4⋊C4—51no—
1389C2×C4⋊C4—51no—
1390C2×C4⋊C4—51no—
1391C2×C4⋊C4—51no—
1392C2×C4⋊C4—51no—
1393C2×C4⋊C4—51no—
1394C2×C4⋊C4—51no—
1395C2×C4⋊C4—51no—
1396C2×C4⋊C4—51no—
1397C2×C4⋊C4—51no—
1398C2×C4⋊C4—51no—
1399C2×C4⋊C4—58no—
1400C2×C4⋊C4C22×D511yescharacteristic
1401C2×C4⋊C4C22×D511yescharacteristic
1402C2×C4⋊C4C22×D511yescharacteristic
1403C2×C4⋊C4C22×D511yescharacteristic
1404C2×C4⋊C4C22×D511yescharacteristic
1405C2×C4⋊C4C22×D511yescharacteristic
1406C2×C22⋊C4—51no—
1407C2×C22⋊C4—51no—
1408C2×C22⋊C4—51no—
1409C2×C22⋊C4—51no—
1410C2×C22⋊C4—51no—
1411C2×C22⋊C4—51no—
1412C2×C22⋊C4—58no—
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—58no—
1438C2×C22⋊C4—58no—
1439C2×C22⋊C4—58no—
1440C2×C22⋊C4—51no—
1441C2×C22⋊C4—51no—
1442C2×C22⋊C4—51no—
1443C2×C22⋊C4—51no—
1444C2×C22⋊C4—51no—
1445C2×C22⋊C4—51no—
1446C2×C22⋊C4—51no—
1447C2×C22⋊C4—51no—
1448C2×C22⋊C4—51no—
1449C2×C22⋊C4—51no—
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—28no—
1475C22×C5—22no—
1476C22×C5—22no—
1477C22×C5—22no—
1478C22×C5—22no—
1479C22×C5—22no—
1480C22×C5—22no—
1481C22×C5—22no—
1482C22×C5—22no—
1483C22×C5—22no—
1484C22×C5—22no—
1485C22×C5—22no—
1486C22×C5—22no—
1487C22×C5—416no—
1488C22×C5—44no—
1489C22×C5—44no—
1490C22×C5—44no—
1491C22×C5—44no—
1492C22×C5C2×H(5,𝔽2)14yes—
1493C22×C5C2×H(5,𝔽2)12yes—
1494C22×C5#58512yes—
1495C22×C5#58512yes—
1496C22×C5C2611yescharacteristic
1497C2×D5—22no—
1498C2×D5—22no—
1499C2×D5—22no—
1500C2×D5—22no—
1501C2×D5—22no—
1502C2×D5—22no—
1503C2×D5—22no—
1504C2×D5—22no—
1505C2×D5—22no—
1506C2×D5—22no—
1507C2×D5—22no—
1508C2×D5—22no—
1509C2×D5—44no—
1510C2×D5—44no—
1511C2×D5—44no—
1512C2×D5—44no—
1513C2×D5—88no—
1514C2×D5—88no—
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—
1525Dic5—22no—
1526Dic5—22no—
1527Dic5—22no—
1528Dic5—22no—
1529Dic5—22no—
1530Dic5—22no—
1531Dic5—22no—
1532Dic5—22no—
1533Dic5—22no—
1534Dic5—22no—
1535Dic5—22no—
1536Dic5—22no—
1537C24—24no—
1538C24—42no—
1539C24—42no—
1540C24—51no—
1541C24—51no—
1542C24—51no—
1543C24—51no—
1544C24—54no—
1545C24—54no—
1546C24—104no—
1547C24—202no—
1548C24—202no—
1549C24—202no—
1550C24—202no—
1551C24—202no—
1552C24C23×D511yescharacteristic
1553C24C23×D511yescharacteristic
1554C24C23×D511yescharacteristic
1555C24C23×D511yescharacteristic
1556C24C23×D511yescharacteristic
1557C24C23×D514yes—
1558#41—416no—
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—24no—
1572C2×D4—24no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—42no—
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—202no—
1601C2×D4—202no—
1602C2×D4—202no—
1603C2×D4—202no—
1604C2×D4—202no—
1605C2×D4—202no—
1606C2×D4—202no—
1607C2×D4—202no—
1608C2×D4—2016no—
1609C2×D4—202no—
1610C2×D4—202no—
1611C2×D4—202no—
1612C2×D4—202no—
1613C2×D4—202no—
1614C2×D4—202no—
1615C2×D4—202no—
1616C2×D4—202no—
1617C2×D4—202no—
1618C2×D4—202no—
1619C2×D4—2016no—
1620C2×D4C23×D514yes—
1621C2×D4C23×D514yes—
1622C2×D4C23×D514yes—
1623C2×D4C23×D514yes—
1624C2×D4C23×D514yes—
1625C2×D4C23×D514yes—
1626C2×D4C23×D514yes—
1627C22×C4—24no—
1628C22×C4—24no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—416no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—54no—
1637C22×C4—51no—
1638C22×C4—51no—
1639C22×C4—51no—
1640C22×C4—51no—
1641C22×C4—51no—
1642C22×C4—51no—
1643C22×C4—51no—
1644C22×C4—51no—
1645C22×C4—51no—
1646C22×C4—51no—
1647C22×C4—51no—
1648C22×C4—51no—
1649C22×C4—54no—
1650C22×C4—54no—
1651C22×C4—54no—
1652C22×C4—54no—
1653C22×C4—54no—
1654C22×C4—54no—
1655C22×C4—54no—
1656C22×C4—54no—
1657C22×C4—54no—
1658C22×C4—54no—
1659C22×C4—54no—
1660C22×C4—54no—
1661C22×C4—54no—
1662C22×C4—104no—
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—202no—
1676C22×C4C23×D514yes—
1677C22×C4C23×D514yes—
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×D514yes—
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⋊C4—54no—
1719C4⋊C4—54no—
1720C4⋊C4—54no—
1721C4⋊C4—54no—
1722C4⋊C4—54no—
1723C4⋊C4—54no—
1724C4⋊C4—54no—
1725C4⋊C4—54no—
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—24no—
1793C2×C5—42no—
1794C2×C5—42no—
1795C2×C5—42no—
1796C2×C5—42no—
1797C2×C5#353314yescomplemented
1798C2×C5C22×H(5,𝔽2)11yescharacteristic
1799C2×C5C2×#58511yescharacteristic
1800C2×C5C2×#58511yescharacteristic
1801D5—42no—
1802D5—42no—
1803D5—42no—
1804D5—42no—
1805C23—22no—
1806C23—22no—
1807C23—28no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—44no—
1821C23—44no—
1822C23—416no—
1823C23—52no—
1824C23—52no—
1825C23—52no—
1826C23—52no—
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—108no—
1840C23—204no—
1841C23—204no—
1842C23—204no—
1843C23—204no—
1844C23—204no—
1845C23—408no—
1846C23—408no—
1847C23#414414yes—
1848C23C24×D512yes—
1849C23C24×D512yes—
1850C23C24×D512yes—
1851C23C24×D512yes—
1852C23C24×D512yes—
1853C23C24×D511yescharacteristic
1854Q8—44no—
1855Q8—204no—
1856Q8—204no—
1857Q8—204no—
1858Q8—204no—
1859D4—28no—
1860D4—28no—
1861D4—44no—
1862D4—44no—
1863D4—44no—
1864D4—44no—
1865D4—44no—
1866D4—108no—
1867D4—108no—
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—28no—
1891C2×C4—28no—
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—44no—
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—52no—
1914C2×C4—52no—
1915C2×C4—52no—
1916C2×C4—102no—
1917C2×C4—102no—
1918C2×C4—108no—
1919C2×C4—102no—
1920C2×C4—102no—
1921C2×C4—102no—
1922C2×C4—102no—
1923C2×C4—102no—
1924C2×C4—102no—
1925C2×C4—102no—
1926C2×C4—102no—
1927C2×C4—102no—
1928C2×C4—102no—
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×C4—204no—
1941C2×C4—204no—
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—28no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—22no—
1963C22—22no—
1964C22—22no—
1965C22—22no—
1966C22—22no—
1967C22—22no—
1968C22—416no—
1969C22—44no—
1970C22—44no—
1971C22—44no—
1972C22—44no—
1973C22—102no—
1974C22—102no—
1975C22—102no—
1976C22—102no—
1977C22—102no—
1978C22—102no—
1979C22—102no—
1980C22—102no—
1981C22—102no—
1982C22—102no—
1983C22—102no—
1984C22—102no—
1985C22—204no—
1986C22—204no—
1987C22—204no—
1988C22—204no—
1989C22—408no—
1990C22—408no—
1991C22C2×#414414yes—
1992C22C2×#414412yes—
1993C22#6628312yes—
1994C22#6628312yes—
1995C22C25×D511yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—102no—
2007C4—102no—
2008C4—102no—
2009C4—102no—
2010C4—102no—
2011C4—102no—
2012C4—102no—
2013C4—102no—
2014C4—102no—
2015C4—102no—
2016C4—102no—
2017C4—102no—
2018C2—24no—
2019C2—42no—
2020C2—42no—
2021C2—42no—
2022C2—42no—
2023C2—202no—
2024C2—202no—
2025C2—202no—
2026C2—202no—
2027C2#1061795014yesdirect product factor
2028C2C22×#414411yescharacteristic
2029C2C2×#6628311yescharacteristic
2030C2C2×#6628311yescharacteristic
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×#525C2
socleC23×C5C25
hypercenterC2×#525D5
hypocenterC5C2×#3533
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×C5×#525C2semidirect
2. C2×#66163C2semidirect
3. C2×#66158C2semidirect
4. C2×#66125C2semidirect
5. C22×#4075C2semidirect
6. #10617950C2direct (N × H)
7. C2×#65992C2semidirect
8. C2×#65989C2semidirect
9. C2×#65988C2semidirect
10. C2×#65984C2semidirect
11. C2×#65981C2semidirect
12. C2×#65972C2semidirect
13. C2×#65980C2semidirect
14. C2×#65974C2semidirect
15. C2×#65955C2semidirect
16. C2×#65954C2semidirect
17. C2×#65947C2semidirect
18. C2×#65949C2semidirect
19. C2×#65923C2semidirect
20. C2×#65927C2semidirect
21. C2×#65927C2semidirect
22. C2×#65926C2semidirect
23. C2×#65892C2semidirect
24. C2×#65890C2semidirect
25. C2×#65895C2semidirect
26. C2×#65896C2semidirect
27. C2×#65894C2semidirect
28. C2×#65893C2semidirect
29. C2×#65874C2semidirect
30. C2×#65898C2semidirect
31. C2×#65861C2semidirect
32. C2×#65865C2semidirect
34. C24×C4×C5C22semidirect
36. C22×#711C22semidirect
39. C5×#525C22semidirect
41. C2×C5×#123C22semidirect
42. C2×C5×C22⋊Q8C22semidirect
43. C2×C5×C22⋊Q8C22semidirect
44. C2×C5×#121C22semidirect
45. C2×C5×#121C22semidirect
47. C2×C5×#120C22semidirect
48. C2×C4×C5×D4C22semidirect
49. C2×C4×C5×D4C22semidirect
50. C2×C4×C5×D4C22semidirect
51. C2×C4×C5×D4C22semidirect
52. C2×C5×#117C22semidirect
54. C2×#4099C22semidirect
55. C22×C22⋊Dic5C22semidirect
56. #66163C22semidirect
57. #66158C22semidirect
58. C2×#4093C22semidirect
59. C2×#4092C22semidirect
60. C2×#4092C22semidirect
61. C2×#4090C22semidirect
63. C2×#4086C22semidirect
67. C2×#4085C22semidirect
68. C2×#4085C22semidirect
69. C2×#4085C22semidirect
70. C2×#4085C22semidirect
71. C2×#4085C22semidirect
74. C2×#4084C22semidirect
75. C2×#4084C22semidirect
79. C2×#4083C22semidirect
80. C2×#4082C22semidirect
81. C2×#4082C22semidirect
83. C2×#4081C22semidirect
84. C2×#4081C22semidirect
85. C2×#4081C22semidirect
87. C2×D4×Dic5C22semidirect
88. #66125C22semidirect
89. C2×#4076C22semidirect
90. C2×#4076C22semidirect
91. C2×#4076C22semidirect
97. C2×#4075C22semidirect
98. C2×#4075C22semidirect
99. C2×#4075C22semidirect
100. C2×#4075C22semidirect
101. C2×#4075C22semidirect
102. C2×#4075C22semidirect
103. C2×#4075C22semidirect
104. C2×#4075C22semidirect
105. C2×C4×C22⋊D5C22semidirect
106. C2×C4×C22⋊D5C22semidirect
107. C2×C4×C22⋊D5C22semidirect
108. C2×C4×C22⋊D5C22semidirect
109. C2×C4×C22⋊D5C22semidirect
110. C2×C4×C22⋊D5C22semidirect
113. C22×#685C22semidirect
114. C2×#4072C22semidirect
115. C2×#4070C22semidirect
116. C2×#4070C22semidirect
117. C2×#4070C22semidirect
118. C22×#683C22semidirect
119. C22×#683C22semidirect
120. C22×#683C22semidirect
121. #65992C22semidirect
122. #65989C22semidirect
123. #65988C22semidirect
124. #65984C22semidirect
125. #65981C22semidirect
126. #65980C22semidirect
127. #65974C22semidirect
128. #65972C22semidirect
129. #65955C22semidirect
130. #65954C22semidirect
131. #65949C22semidirect
132. #65947C22semidirect
133. #65927C22semidirect
134. #65927C22semidirect
135. #65926C22semidirect
136. #65923C22semidirect
137. #65898C22semidirect
138. #65896C22semidirect
139. #65895C22semidirect
140. #65894C22semidirect
141. #65893C22semidirect
142. #65892C22semidirect
143. #65890C22semidirect
144. #65874C22semidirect
145. #65865C22semidirect
146. #65861C22semidirect
147. C2×#4044C22semidirect
148. C2×#4044C22semidirect
149. C2×#4044C22semidirect
150. C2×#4044C22semidirect
151. C2×#4043C22semidirect
152. C2×#4042C22semidirect
153. C2×#4042C22semidirect
154. C2×#4042C22semidirect
155. C2×#4042C22semidirect
156. C2×#4041C22semidirect
157. C2×#4040C22semidirect
158. C2×#4040C22semidirect
159. C2×#4040C22semidirect
160. C2×#4040C22semidirect
161. C2×#4039C22semidirect
162. C2×#4038C22semidirect
163. C2×D5×C4⋊C4C22semidirect
164. C2×#4036C22semidirect
165. C2×#4035C22semidirect
166. C2×#4035C22semidirect
167. C2×#4035C22semidirect
168. C2×#4035C22semidirect
169. C2×#4034C22semidirect
170. C2×#4033C22semidirect
172. C2×#4032C22semidirect
174. C2×#4031C22semidirect
175. C2×#4031C22semidirect
176. C2×#4031C22semidirect
177. C2×#4031C22semidirect
178. C2×#4031C22semidirect
182. C2×#4030C22semidirect
183. C2×#4030C22semidirect
184. C2×#4030C22semidirect
187. C2×#4029C22semidirect
188. C2×#4029C22semidirect
189. C2×#4029C22semidirect
190. C2×#4029C22semidirect
192. C2×#4028C22semidirect
194. C2×#4027C22semidirect
195. C2×#4027C22semidirect
196. C2×#4027C22semidirect
198. C2×D5×C22⋊C4C22semidirect
199. C2×#4025C22semidirect
200. C2×#4025C22semidirect
201. C2×#4025C22semidirect
202. C2×#4025C22semidirect
203. C2×#4025C22semidirect
204. C2×#4025C22semidirect
205. C2×#4024C22semidirect
206. C2×#4024C22semidirect
207. C2×#4024C22semidirect
208. C2×#4024C22semidirect
209. C2×#4023C22semidirect
210. C2×#4023C22semidirect
211. C2×#4022C22semidirect
212. C2×#4022C22semidirect
213. C2×#4021C22semidirect
214. C2×C4×D20C22semidirect
215. C2×#4018C22semidirect
216. C2×#4018C22semidirect
217. C2×#4016C22semidirect
218. C2×C4×Dic10C22semidirect
242. C23×C4×C5C23semidirect
268. C2×#711C23semidirect
290. C5×#123C23semidirect
291. C5×C22⋊Q8C23semidirect
292. C5×C22⋊Q8C23semidirect
293. C5×#121C23semidirect
294. C5×#121C23semidirect
296. C5×#120C23semidirect
297. C4×C5×D4C23semidirect
298. C4×C5×D4C23semidirect
299. C4×C5×D4C23semidirect
300. C4×C5×D4C23semidirect
301. C5×#117C23semidirect
321. #4099C23semidirect
338. C2×C22⋊Dic5C23semidirect
339. #4093C23semidirect
340. #4092C23semidirect
341. #4092C23semidirect
342. #4090C23semidirect
344. #4086C23semidirect
348. #4085C23semidirect
349. #4085C23semidirect
350. #4085C23semidirect
351. #4085C23semidirect
352. #4085C23semidirect
355. #4084C23semidirect
356. #4084C23semidirect
360. #4083C23semidirect
361. #4082C23semidirect
362. #4082C23semidirect
364. #4081C23semidirect
365. #4081C23semidirect
366. #4081C23semidirect
368. D4×Dic5C23semidirect
369. #4076C23semidirect
370. #4076C23semidirect
371. #4076C23semidirect
377. #4075C23semidirect
378. #4075C23semidirect
379. #4075C23semidirect
380. #4075C23semidirect
381. #4075C23semidirect
382. #4075C23semidirect
383. #4075C23semidirect
384. C4×C22⋊D5C23semidirect
385. C4×C22⋊D5C23semidirect
386. C4×C22⋊D5C23semidirect
387. C4×C22⋊D5C23semidirect
388. C4×C22⋊D5C23semidirect
389. C4×C22⋊D5C23semidirect
416. C2×#685C23semidirect
417. #4072C23semidirect
426. #4070C23semidirect
427. #4070C23semidirect
428. #4070C23semidirect
453. C2×#683C23semidirect
454. C2×#683C23semidirect
455. C2×#683C23semidirect
464. #4044C23semidirect
465. #4044C23semidirect
466. #4044C23semidirect
467. #4044C23semidirect
468. #4043C23semidirect
469. #4042C23semidirect
470. #4042C23semidirect
471. #4042C23semidirect
472. #4042C23semidirect
473. #4041C23semidirect
474. #4040C23semidirect
475. #4040C23semidirect
476. #4040C23semidirect
477. #4040C23semidirect
478. #4039C23semidirect
479. #4038C23semidirect
480. D5×C4⋊C4C23semidirect
481. #4036C23semidirect
482. #4035C23semidirect
483. #4035C23semidirect
484. #4035C23semidirect
485. #4035C23semidirect
486. #4034C23semidirect
487. #4033C23semidirect
489. #4032C23semidirect
491. #4031C23semidirect
492. #4031C23semidirect
493. #4031C23semidirect
494. #4031C23semidirect
495. #4031C23semidirect
499. #4030C23semidirect
500. #4030C23semidirect
501. #4030C23semidirect
504. #4029C23semidirect
505. #4029C23semidirect
506. #4029C23semidirect
507. #4029C23semidirect
509. #4028C23semidirect
511. #4027C23semidirect
512. #4027C23semidirect
513. #4027C23semidirect
515. D5×C22⋊C4C23semidirect
516. #4025C23semidirect
517. #4025C23semidirect
518. #4025C23semidirect
519. #4025C23semidirect
520. #4025C23semidirect
521. #4025C23semidirect
522. #4024C23semidirect
523. #4024C23semidirect
524. #4024C23semidirect
525. #4024C23semidirect
526. #4023C23semidirect
527. #4023C23semidirect
528. #4022C23semidirect
529. #4022C23semidirect
530. #4021C23semidirect
531. C4×D20C23semidirect
532. #4018C23semidirect
533. #4018C23semidirect
534. #4016C23semidirect
535. C4×Dic10C23semidirect
566. C2×#525D5semidirect
828. C24×C4C2×D5semidirect
890. #525C2×D5semidirect
921. C2×#123C2×D5semidirect
936. C2×C22⋊Q8C2×D5semidirect
937. C2×C22⋊Q8C2×D5semidirect
960. C2×#121C2×D5semidirect
961. C2×#121C2×D5semidirect
971. C2×#120C2×D5semidirect
988. C2×C4×D4C2×D5semidirect
989. C2×C4×D4C2×D5semidirect
990. C2×C4×D4C2×D5semidirect
991. C2×C4×D4C2×D5semidirect
998. C2×#117C2×D5semidirect
1224. C23×C4C22×D5semidirect
1286. #123C22×D5semidirect
1301. C22⋊Q8C22×D5semidirect
1302. C22⋊Q8C22×D5semidirect
1325. #121C22×D5semidirect
1326. #121C22×D5semidirect
1336. #120C22×D5semidirect
1353. C4×D4C22×D5semidirect
1354. C4×D4C22×D5semidirect
1355. C4×D4C22×D5semidirect
1356. C4×D4C22×D5semidirect
1363. #117C22×D5semidirect
1797. C2×C5#3533semidirect
1952. C5C2×#3533semidirect
2027. C2#10617950direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5252
C2×#661632
C2×#661582
C2×#661252
C22×#40752
#106179502
C2×#659922
C2×#659892
C2×#659882
C2×#659842
C2×#659812
C2×#659722
C2×#659802
C2×#659742
C2×#659552
C2×#659542
C2×#659472
C2×#659492
C2×#659232
C2×#659272
C2×#659262
C2×#658922
C2×#658902
C2×#658952
C2×#658962
C2×#658942
C2×#658932
C2×#658742
C2×#658982
C2×#658612
C2×#658652
C2×#35335