Finite Group Databasebeta

← C4×#65894 #12258363

Subgroups — C4×#65894 #12258363

Order 1280.

2650 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65894C211yesmaximal, characteristic
2C42×C5×D4C211yesmaximal, characteristic, complemented
3#10614126C211yesmaximal, characteristic, complemented
4C4×#4083C211yesmaximal, characteristic, complemented
5#10614058C211yesmaximal, characteristic, complemented
6#10614055C211yesmaximal, characteristic, complemented
7C4×#4085C211yesmaximal, characteristic, complemented
8C4×#4075C211yesmaximal, characteristic, complemented
9C4×#4076C211yesmaximal, characteristic, complemented
10C42×C22⋊D5C211yesmaximal, characteristic, complemented
11C2×C4×#685C211yesmaximal, characteristic, complemented
12#10605496C211yesmaximal, characteristic, complemented
13C4×#4040C211yesmaximal, characteristic, complemented
14#10605363C211yesmaximal, characteristic, complemented
15#10605360C211yesmaximal, characteristic, complemented
16#10605359C211yesmaximal, characteristic, complemented
17C4×#4044C211yesmaximal, characteristic, complemented
18#10605301C211yesmaximal, characteristic, complemented
19#10605300C211yesmaximal, characteristic, complemented
20#10605299C211yesmaximal, characteristic, complemented
21#10605298C211yesmaximal, characteristic, complemented
22C4×#4030C211yesmaximal, characteristic, complemented
23C4×#4028C211yesmaximal, characteristic, complemented
24#10605183C211yesmaximal, characteristic, complemented
25#10605182C211yesmaximal, characteristic, complemented
26#10605180C211yesmaximal, characteristic, complemented
27#10605178C211yesmaximal, characteristic, complemented
28C4×#4031C211yesmaximal, characteristic, complemented
29C4×#4024C211yesmaximal, characteristic, complemented
30C4×#4022C211yesmaximal, characteristic, complemented
31C4×#4021C211yesmaximal, characteristic, complemented
32C23×C4×D5C2211yescharacteristic
33C2×C4×C5×D4C2211yescharacteristic
34C2×C4×C5×D4C2211yescharacteristic
35C2×C4×C5×D4C2211yescharacteristic
36C22×C42×C5C2211yescharacteristic
37C22×C42×C5C2211yescharacteristic, complemented
38C2×#4085C2211yescharacteristic
39C2×#4083C2211yescharacteristic
40C2×#4076C2211yescharacteristic
41C2×#4075C2211yescharacteristic
42C2×C4×C22⋊D5C2211yescharacteristic
43C2×C4×C22⋊D5C2211yescharacteristic
44C2×C4×C22⋊D5C2211yescharacteristic
45C2×C4×C22⋊D5C2211yescharacteristic
46C2×C4×C22⋊D5C2211yescharacteristic
47C2×C4×C22⋊D5C2211yescharacteristic, complemented
48C22×#685C2211yescharacteristic
49C22×#685C2211yescharacteristic
50C22×C4×Dic5C2211yescharacteristic
51#65894C4116yesdirect product factor
52C2×#4044C2211yescharacteristic
53C2×#4040C2211yescharacteristic
54C2×#4031C2211yescharacteristic
55C2×#4030C2211yescharacteristic
56C2×#4028C2211yescharacteristic
57C2×#4024C2211yescharacteristic
58C2×#4022C2211yescharacteristic
59C2×#4021C2211yescharacteristic
60C2×C4×D20C2211yescharacteristic
61C2×C4×D20C2211yescharacteristic
62C2×C42×D5C2211yescharacteristic, complemented
63C2×C4×Dic10C2211yescharacteristic, complemented
64C4×C5×C4⋊C4C2211yescharacteristic, complemented
65C4×C5×C4⋊C4C2211yescharacteristic, complemented
66C4×C5×C4⋊C4C2211yescharacteristic, complemented
67C4×C5×C22⋊C4C2211yescharacteristic
68C4×C5×C22⋊C4C2211yescharacteristic
69C4×C5×C22⋊C4C2211yescharacteristic
70C4×C5×C22⋊C4C2211yescharacteristic, complemented
71C4×C5×C22⋊C4C2211yescharacteristic, complemented
72C4×C5×C22⋊C4C2211yescharacteristic, complemented
73C43×C5C2211yescharacteristic, complemented
74#65509C2211yescharacteristic
75#65509C2211yescharacteristic
76#65502C2211yescharacteristic
77#65502C2211yescharacteristic
78#65502C2211yescharacteristic, complemented
79#65501C2211yescharacteristic, complemented
80#65500C2211yescharacteristic, complemented
81#65499C2211yescharacteristic, complemented
82C4×C22⋊Dic5C2211yescharacteristic
83C4×C22⋊Dic5C2211yescharacteristic
84C4×C22⋊Dic5C2211yescharacteristic
85C4×C22⋊Dic5C2211yescharacteristic, complemented
86C2×#3963C2211yescharacteristic
87C2×#3963C2211yescharacteristic
88#65279C2211yescharacteristic
89#65279C2211yescharacteristic
90#65279C2211yescharacteristic, complemented
91#65278C2211yescharacteristic
92#65278C2211yescharacteristic
93#65278C2211yescharacteristic, complemented
94#65270C2211yescharacteristic, complemented
95#65270C2211yescharacteristic, complemented
96#65267C2211yescharacteristic, complemented
97#65261C2211yescharacteristic, complemented
98#65247C2211yescharacteristic
99#65247C2211yescharacteristic
100#65246C2211yescharacteristic
101#65246C2211yescharacteristic
102#65246C2211yescharacteristic, complemented
103#65245C2211yescharacteristic
104#65245C2211yescharacteristic
105#65245C2211yescharacteristic, complemented
106#65244C2211yescharacteristic
107#65244C2211yescharacteristic
108#65240C2211yescharacteristic, complemented
109#65240C2211yescharacteristic, complemented
110#65239C2211yescharacteristic
111#65239C2211yescharacteristic
112#65235C2211yescharacteristic
113#65235C2211yescharacteristic
114#65234C2211yescharacteristic, complemented
115#65233C2211yescharacteristic, complemented
116#65231C2211yescharacteristic
117#65231C2211yescharacteristic
118#65229C2211yescharacteristic
119#65229C2211yescharacteristic
120#65229C2211yescharacteristic
121#65229C2211yescharacteristic
122#65229C2211yescharacteristic
123#65229C2211yescharacteristic
124#65229C2211yescharacteristic
125#65229C2211yescharacteristic
126#65229C2211yescharacteristic, complemented
127#65229C2211yescharacteristic, complemented
128#65229C2211yescharacteristic, complemented
129#65228C2211yescharacteristic
130#65228C2211yescharacteristic
131C4×#685C2211yescharacteristic
132C4×#685C2211yescharacteristic
133C4×#685C2211yescharacteristic
134C4×#685C2211yescharacteristic
135C4×#685C2211yescharacteristic
136C4×#685C2211yescharacteristic
137C4×#685C2211yescharacteristic
138C4×#685C2211yescharacteristic
139C4×#685C2211yescharacteristic
140C4×#685C2211yescharacteristic
141C4×#685C2211yescharacteristic
142C4×#685C2211yescharacteristic
143C4×#685C2211yescharacteristic, complemented
144C4×#685C2211yescharacteristic, complemented
145C4×#685C2211yescharacteristic, complemented
146C4×#685C2211yescharacteristic, complemented
147#65226C2211yescharacteristic, complemented
148#65225C2211yescharacteristic, complemented
149C4×C4⋊Dic5C2211yescharacteristic, complemented
150#65222C2211yescharacteristic, complemented
151#65222C2211yescharacteristic, complemented
152#65222C2211yescharacteristic, complemented
153#65222C2211yescharacteristic, complemented
154#65222C2211yescharacteristic, complemented
155C4×#683C2211yescharacteristic, complemented
156C4×#683C2211yescharacteristic, complemented
157C4×#683C2211yescharacteristic, complemented
158C4×#683C2211yescharacteristic, complemented
159C4×#683C2211yescharacteristic, complemented
160C4×#683C2211yescharacteristic, complemented
161C42×Dic5C2211yescharacteristic, complemented
162#65218C2211yescharacteristic, complemented
163#65217C2211yescharacteristic, complemented
164#64959C2211yescharacteristic
165#64959C2211yescharacteristic
166#64958C2211yescharacteristic
167#64958C2211yescharacteristic
168#64958C2211yescharacteristic
169#64958C2211yescharacteristic
170#64957C2211yescharacteristic
171#64957C2211yescharacteristic
172#64956C2211yescharacteristic, complemented
173#64954C2211yescharacteristic
174#64954C2211yescharacteristic
175#64954C2211yescharacteristic
176#64954C2211yescharacteristic
177#64953C2211yescharacteristic, complemented
178#64944C2211yescharacteristic, complemented
179#64944C2211yescharacteristic, complemented
180#64943C2211yescharacteristic, complemented
181#64943C2211yescharacteristic, complemented
182#64940C2211yescharacteristic, complemented
183#64939C2211yescharacteristic, complemented
184#64936C2211yescharacteristic, complemented
185#64936C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#64935C2211yescharacteristic, complemented
188C4×#538—51nomaximal, Sylow
189C24×D5C2311yescharacteristic
190C22×C5×D4C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C23×C4×C5C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C22×C22⋊D5C2311yescharacteristic
198C22×C22⋊D5C2311yescharacteristic
199C22×C22⋊D5C2311yescharacteristic
200C22×C22⋊D5C2311yescharacteristic
201C23×Dic5C2311yescharacteristic
202C23×Dic5C2311yescharacteristic
203C23×Dic5C2311yescharacteristic
204C22×D20C2311yescharacteristic
205C22×D20C2311yescharacteristic
206C22×C4×D5—24no—
207C22×C4×D5—42no—
208C22×C4×D5—42no—
209C22×C4×D5C2311yescharacteristic
210C22×C4×D5C2311yescharacteristic
211C22×C4×D5C2311yescharacteristic
212C22×C4×D5C2311yescharacteristic
213C22×C4×D5C2311yescharacteristic
214C22×C4×D5C2311yescharacteristic
215C22×C4×D5C2311yescharacteristic
216C22×Dic10C2311yescharacteristic
217C4×C5×D4—24no—
218C4×C5×D4—24no—
219C4×C5×D4C2×C418yescomplemented
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C4⋊C4C2311yescharacteristic
223C2×C5×C22⋊C4C2311yescharacteristic
224C2×C5×C22⋊C4C2311yescharacteristic
225C2×C5×C22⋊C4C2311yescharacteristic
226C2×C5×C22⋊C4C2311yescharacteristic
227C2×C5×C22⋊C4C2311yescharacteristic
228C2×C5×C22⋊C4C2311yescharacteristic
229C2×C42×C5—42no—
230C2×C42×C5—42no—
231C2×C42×C5C2311yescharacteristic
232C2×C42×C5C2311yescharacteristic
233C2×C42×C5C2311yescharacteristic
234C2×C42×C5C2311yescharacteristic
235C2×C42×C5C2311yescharacteristic
236C2×C42×C5C2311yescharacteristic
237C2×C42×C5C2311yescharacteristic
238C2×C42×C5C2311yescharacteristic
239C2×C42×C5C2311yescharacteristic
240C2×C42×C5C2311yescharacteristic
241C2×C42×C5C2311yescharacteristic
242C2×C42×C5C2311yescharacteristic
243C2×C42×C5C2311yescharacteristic
244C2×C22⋊Dic5C2311yescharacteristic
245C2×C22⋊Dic5C2311yescharacteristic
246C2×C22⋊Dic5C2311yescharacteristic
247C2×C22⋊Dic5C2311yescharacteristic
248C2×C22⋊Dic5C2311yescharacteristic
249C2×C22⋊Dic5C2311yescharacteristic
250C2×C22⋊Dic5C2311yescharacteristic
251C2×C22⋊Dic5C2311yescharacteristic
252#4085C2×C418yescomplemented
253#4083C2×C418yescomplemented
254#4076C2×C418yescomplemented
255#4075C2×C418yescomplemented
256C4×C22⋊D5—24no—
257C4×C22⋊D5—24no—
258C4×C22⋊D5—42no—
259C4×C22⋊D5—42no—
260C4×C22⋊D5—42no—
261C4×C22⋊D5C2×C418yescomplemented
262C2×#685—24no—
263C2×#685C2×C418yescomplemented
264C2×#685C2311yescharacteristic
265C2×#685C2311yescharacteristic
266C2×#685C2311yescharacteristic
267C2×#685C2311yescharacteristic
268C2×#685C2311yescharacteristic
269C2×#685C2311yescharacteristic
270C2×#685C2311yescharacteristic
271C2×#685C2311yescharacteristic
272C2×#685C2311yescharacteristic
273C2×#685C2311yescharacteristic
274C2×#685C2311yescharacteristic
275C2×#685C2311yescharacteristic
276C2×#685C2311yescharacteristic
277C2×#685C2311yescharacteristic
278C2×#685C2311yescharacteristic
279C2×#685C2311yescharacteristic
280C2×#685C2311yescharacteristic
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×#685C2311yescharacteristic
285C2×#685C2311yescharacteristic
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×C4⋊Dic5C2311yescharacteristic
293C2×C4⋊Dic5C2311yescharacteristic
294C2×C4⋊Dic5C2311yescharacteristic
295C2×C4⋊Dic5C2311yescharacteristic
296C2×C4⋊Dic5C2311yescharacteristic
297C2×#683C2311yescharacteristic
298C2×#683C2311yescharacteristic
299C2×#683C2311yescharacteristic
300C2×#683C2311yescharacteristic
301C2×#683C2311yescharacteristic
302C2×#683C2311yescharacteristic
303C2×#683C2311yescharacteristic
304C2×#683C2311yescharacteristic
305C2×#683C2311yescharacteristic
306C2×#683C2311yescharacteristic
307C2×#683C2311yescharacteristic
308C2×#683C2311yescharacteristic
309C2×#683C2311yescharacteristic
310C2×#683C2311yescharacteristic
311C2×C4×Dic5—42no—
312C2×C4×Dic5C2311yescharacteristic
313C2×C4×Dic5C2311yescharacteristic
314C2×C4×Dic5C2311yescharacteristic
315C2×C4×Dic5C2311yescharacteristic
316C2×C4×Dic5C2311yescharacteristic
317C2×C4×Dic5C2311yescharacteristic
318C2×C4×Dic5C2311yescharacteristic
319C2×C4×Dic5C2311yescharacteristic
320C2×C4×Dic5C2311yescharacteristic
321C2×C4×Dic5C2311yescharacteristic
322C2×C4×Dic5C2311yescharacteristic
323C2×C4×Dic5C2311yescharacteristic
324C2×C4×Dic5C2311yescharacteristic
325#4044C2×C418yescomplemented
326#4040C2×C418yescomplemented
327#4031C2×C418yescomplemented
328#4030C2×C418yescomplemented
329#4028C2×C418yescomplemented
330#4024C2×C418yescomplemented
331#4022C2×C418yescomplemented
332#4021C2×C418yescomplemented
333C4×D20—42no—
334C4×D20—42no—
335C42×D5—42no—
336C4×Dic10—42no—
337C5×#95C2311yescharacteristic
338C5×#95C2311yescharacteristic
339C5×#95C2311yescharacteristic
340C5×#95C2311yescharacteristic
341C5×#95C2311yescharacteristic
342C5×#95C2311yescharacteristic
343#3963C2311yescharacteristic
344#3963C2311yescharacteristic
345#3963C2311yescharacteristic
346#3963C2311yescharacteristic
347#3963C2311yescharacteristic
348#3963C2311yescharacteristic
349#3963C2311yescharacteristic
350#3963C2311yescharacteristic
351#3963C2311yescharacteristic
352#3963C2311yescharacteristic
353#3963C2311yescharacteristic
354#3963C2311yescharacteristic
355#3963C2311yescharacteristic
356#3963C2311yescharacteristic
357#3963C2311yescharacteristic
358#3963C2311yescharacteristic
359#3963C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377C2×#538—51no—
378#2337—51no—
379#2337—51no—
380#2335—51no—
381#2335—51no—
382#2334—51no—
383#2334—51no—
384#2333—51no—
385#2333—51no—
386#2329—51no—
387#2325—51no—
388#2321—51no—
389#2321—51no—
390#2318—51no—
391#2318—51no—
392#2312—51no—
393C4×#126—51no—
394C4×#126—51no—
395C4×#124—51no—
396C4×#124—51no—
397C4×C22⋊Q8—51no—
398C4×#123—51no—
399C4×#123—51no—
400C4×#121—51no—
401C4×#121—51no—
402C4×#121—51no—
403C4×#120—51no—
404C4×#120—51no—
405C42×D4—51no—
406C42×D4D511yescharacteristic, complemented
407C2×C4×C22⋊C4—51no—
408C24×C5C2411yescharacteristic
409C24×C5C2411yescharacteristic
410C23×D5—22no—
411C23×D5—22no—
412C23×D5—41no—
413C23×D5—41no—
414C23×D5—41no—
415C23×D5—41no—
416C23×D5C22×C414yes—
417C23×D5C2411yescharacteristic
418C23×D5C2411yescharacteristic
419C23×D5C2411yescharacteristic
420C2×C5×D4—22no—
421C2×C5×D4—22no—
422C2×C5×D4C22×C414yes—
423C22×C4×C5—22no—
424C22×C4×C5—22no—
425C22×C4×C5—22no—
426C22×C4×C5—22no—
427C22×C4×C5—22no—
428C22×C4×C5—22no—
429C22×C4×C5—41no—
430C22×C4×C5—41no—
431C22×C4×C5—41no—
432C22×C4×C5—41no—
433C22×C4×C5—41no—
434C22×C4×C5—41no—
435C22×C4×C5—41no—
436C22×C4×C5—41no—
437C22×C4×C5C22×C414yes—
438C22×C4×C5C22×C414yescomplemented
439C22×C4×C5#4114yes—
440C22×C4×C5#4114yes—
441C22×C4×C5C2411yescharacteristic
442C22×C4×C5C2411yescharacteristic
443C22×C4×C5C2411yescharacteristic
444C22×C4×C5C2411yescharacteristic
445C22×C4×C5C2411yescharacteristic
446C22×C4×C5C2411yescharacteristic
447C22×C4×C5C2411yescharacteristic
448C22×C4×C5C2411yescharacteristic
449C22×C4×C5C2411yescharacteristic
450C22×C4×C5C2411yescharacteristic
451C22×C4×C5C2411yescharacteristic
452C22×C4×C5C2411yescharacteristic
453C22×C4×C5C2411yescharacteristic
454C2×C22⋊D5—22no—
455C2×C22⋊D5—22no—
456C2×C22⋊D5—41no—
457C2×C22⋊D5—41no—
458C2×C22⋊D5—41no—
459C2×C22⋊D5—41no—
460C2×C22⋊D5—41no—
461C2×C22⋊D5—41no—
462C2×C22⋊D5C22×C414yes—
463C2×C22⋊D5C22×C414yes—
464C2×C22⋊D5C22×C414yes—
465C2×C22⋊D5C22×C414yescomplemented
466C22×Dic5—22no—
467C22×Dic5—22no—
468C22×Dic5—41no—
469C22×Dic5—41no—
470C22×Dic5—41no—
471C22×Dic5—41no—
472C22×Dic5—41no—
473C22×Dic5—41no—
474C22×Dic5C22×C414yes—
475C22×Dic5C2411yescharacteristic
476C22×Dic5C2411yescharacteristic
477C22×Dic5C2411yescharacteristic
478C22×Dic5C2411yescharacteristic
479C22×Dic5C2411yescharacteristic
480C22×Dic5C2411yescharacteristic
481C22×Dic5C2411yescharacteristic
482C22×Dic5C2411yescharacteristic
483C22×Dic5C2411yescharacteristic
484C22×Dic5C2411yescharacteristic
485C22×Dic5C2411yescharacteristic
486C22×Dic5C2411yescharacteristic
487C22×Dic5C2411yescharacteristic
488C2×D20—41no—
489C2×D20—41no—
490C2×D20—41no—
491C2×D20—41no—
492C2×D20C22×C414yes—
493C2×D20C22×C414yes—
494C2×C4×D5—22no—
495C2×C4×D5—22no—
496C2×C4×D5—22no—
497C2×C4×D5—22no—
498C2×C4×D5—22no—
499C2×C4×D5—22no—
500C2×C4×D5—22no—
501C2×C4×D5—22no—
502C2×C4×D5—22no—
503C2×C4×D5—22no—
504C2×C4×D5—22no—
505C2×C4×D5—22no—
506C2×C4×D5—41no—
507C2×C4×D5—41no—
508C2×C4×D5—41no—
509C2×C4×D5—41no—
510C2×C4×D5—41no—
511C2×C4×D5—41no—
512C2×C4×D5—41no—
513C2×C4×D5—41no—
514C2×C4×D5—416no—
515C2×C4×D5C22×C414yescomplemented
516C2×Dic10—41no—
517C2×Dic10—41no—
518C2×Dic10C22×C414yescomplemented
519C5×C4⋊C4—22no—
520C5×C4⋊C4—22no—
521C5×C4⋊C4C22×C414yescomplemented
522C5×C22⋊C4—22no—
523C5×C22⋊C4—22no—
524C5×C22⋊C4—22no—
525C5×C22⋊C4—22no—
526C5×C22⋊C4C22×C414yes—
527C5×C22⋊C4C22×C414yescomplemented
528C42×C5—22no—
529C42×C5—22no—
530C42×C5—22no—
531C42×C5—22no—
532C42×C5—22no—
533C42×C5—22no—
534C42×C5—41no—
535C42×C5—41no—
536C42×C5—41no—
537C42×C5—41no—
538C42×C5—41no—
539C42×C5—41no—
540C42×C5C22×C414yescomplemented
541C22⋊Dic5—22no—
542C22⋊Dic5—22no—
543C22⋊Dic5—41no—
544C22⋊Dic5—41no—
545C22⋊Dic5—41no—
546C22⋊Dic5—41no—
547C22⋊Dic5C22×C414yes—
548C22⋊Dic5C22×C414yescomplemented
549#685—22no—
550#685—22no—
551#685—22no—
552#685—22no—
553#685—22no—
554#685—22no—
555#685—41no—
556#685—41no—
557#685—41no—
558#685—41no—
559#685—41no—
560#685—41no—
561#685—41no—
562#685—41no—
563#685—41no—
564#685—41no—
565#685—41no—
566#685—41no—
567#685C22×C414yes—
568#685C22×C414yes—
569#685C22×C414yes—
570#685C22×C414yes—
571#685C22×C414yes—
572#685C22×C414yes—
573#685C22×C414yes—
574#685C22×C414yes—
575#685C22×C414yescomplemented
576#685C22×C414yescomplemented
577C4⋊Dic5—41no—
578C4⋊Dic5—41no—
579C4⋊Dic5—41no—
580C4⋊Dic5—41no—
581C4⋊Dic5C22×C414yescomplemented
582#683—22no—
583#683—22no—
584#683—41no—
585#683—41no—
586#683—41no—
587#683—41no—
588#683—41no—
589#683—41no—
590#683—41no—
591#683—41no—
592#683C22×C414yescomplemented
593#683C22×C414yescomplemented
594#683C22×C414yescomplemented
595#683C22×C414yescomplemented
596C4×Dic5—22no—
597C4×Dic5—22no—
598C4×Dic5—22no—
599C4×Dic5—22no—
600C4×Dic5—22no—
601C4×Dic5—22no—
602C4×Dic5—41no—
603C4×Dic5—41no—
604C4×Dic5—41no—
605C4×Dic5—41no—
606C4×Dic5—41no—
607C4×Dic5—41no—
608C4×Dic5C22×C414yescomplemented
609C24×C4—51no—
610#538—516no—
611C2×#126—51no—
612C2×#126—51no—
613C2×#124—51no—
614C2×#124—51no—
615C2×#123—51no—
616C2×#123—51no—
617C2×C22⋊Q8—51no—
618C2×#121—51no—
619C2×#121—51no—
620C2×#121—51no—
621C2×#120—51no—
622C2×#120—51no—
623C2×C4×Q8—51no—
624C2×C4×D4—51no—
625C2×C4×D4—51no—
626C2×C4×D4—51no—
627C2×C4×D4—51no—
628C2×C4×D4—51no—
629C2×C4×D4—51no—
630C2×C4×D4—51no—
631C2×C4×D4—51no—
632C2×C4×D4C2×D511yescharacteristic
633C2×C4×D4C2×D511yescharacteristic
634C2×C4×D4C2×D511yescharacteristic
635C22×C22⋊C4—51no—
636C22×C22⋊C4—51no—
637C22×C42—51no—
638C22×C42—51no—
639C22×C42C2×D511yescharacteristic
640C22×C42C2×D511yescharacteristic, complemented
641#391—51no—
642#391—51no—
643#391—51no—
644#390—51no—
645#390—51no—
646#390—51no—
647#390—51no—
648#390—51no—
649#389—51no—
650#389—51no—
651#389—51no—
652#389—51no—
653#388—51no—
654#388—51no—
655#388—51no—
656#388—51no—
657#388—51no—
658#388—51no—
659#388—51no—
660#388—51no—
661#388—51no—
662#388—51no—
663#388—51no—
664#388—51no—
665#388—51no—
666#388—51no—
667#388—51no—
668#388—51no—
669#388—51no—
670#388—51no—
671#388—51no—
672#388—51no—
673#388—51no—
674#388—51no—
675#388—51no—
676#388—51no—
677#387—51no—
678#387—51no—
679#387—51no—
680#387—51no—
681#387—51no—
682#387—51no—
683#387—51no—
684#387—51no—
685#387—51no—
686#387—51no—
687#387—51no—
688#387—51no—
689#386—51no—
690#386—51no—
691#386—51no—
692#386—51no—
693#386—51no—
694#386—51no—
695#386—51no—
696#386—51no—
697#386—51no—
698#386—51no—
699#386—51no—
700#386—51no—
701#386—51no—
702#386—51no—
703#385—51no—
704#385—51no—
705#385—51no—
706#385—51no—
707#385—51no—
708#385—51no—
709#385—51no—
710#385—51no—
711#385—51no—
712#385—51no—
713#383—51no—
714#383—51no—
715#382—51no—
716#382—51no—
717#381—51no—
718#381—51no—
719#380—51no—
720#380—51no—
721#380—51no—
722#380—51no—
723#379—51no—
724#379—51no—
725C4×C4⋊C4—51no—
726C4×C4⋊C4—51no—
727C4×C4⋊C4—51no—
728C4×C4⋊C4—51no—
729C4×C4⋊C4—51no—
730C4×C4⋊C4—51no—
731C4×C4⋊C4—51no—
732C4×C4⋊C4C2×D511yescharacteristic, complemented
733C4×C4⋊C4C2×D511yescharacteristic, complemented
734C4×C4⋊C4C2×D511yescharacteristic, complemented
735C4×C22⋊C4—51no—
736C4×C22⋊C4—51no—
737C4×C22⋊C4—51no—
738C4×C22⋊C4—51no—
739C4×C22⋊C4—51no—
740C4×C22⋊C4—51no—
741C4×C22⋊C4—51no—
742C4×C22⋊C4—51no—
743C4×C22⋊C4—51no—
744C4×C22⋊C4—51no—
745C4×C22⋊C4—51no—
746C4×C22⋊C4—51no—
747C4×C22⋊C4—51no—
748C4×C22⋊C4—51no—
749C4×C22⋊C4—51no—
750C4×C22⋊C4—51no—
751C4×C22⋊C4—51no—
752C4×C22⋊C4—51no—
753C4×C22⋊C4—51no—
754C4×C22⋊C4—51no—
755C4×C22⋊C4C2×D511yescharacteristic
756C4×C22⋊C4C2×D511yescharacteristic
757C4×C22⋊C4C2×D511yescharacteristic
758C4×C22⋊C4C2×D511yescharacteristic, complemented
759C4×C22⋊C4C2×D511yescharacteristic, complemented
760C4×C22⋊C4C2×D511yescharacteristic, complemented
761C2×#95—51no—
762C2×#95—51no—
763C43—51no—
764C43C2×D511yescharacteristic, complemented
765C23×C5—21no—
766C23×C5—21no—
767C23×C5—21no—
768C23×C5—21no—
769C23×C5—21no—
770C23×C5—21no—
771C23×C5—21no—
772C23×C5—21no—
773C23×C5—21no—
774C23×C5—21no—
775C23×C5C23×C412yes—
776C23×C5C23×C412yes—
777C23×C5C2×#4112yes—
778C23×C5C2×#4112yes—
779C23×C5C2511yescharacteristic
780C22×D5—28no—
781C22×D5—21no—
782C22×D5—21no—
783C22×D5—21no—
784C22×D5—21no—
785C22×D5—21no—
786C22×D5—21no—
787C22×D5—21no—
788C22×D5—21no—
789C22×D5—21no—
790C22×D5—21no—
791C22×D5—21no—
792C22×D5—21no—
793C22×D5—21no—
794C22×D5—21no—
795C22×D5—21no—
796C22×D5—21no—
797C22×D5—21no—
798C22×D5—21no—
799C22×D5—44no—
800C22×D5—44no—
801C22×D5—44no—
802C22×D5—44no—
803C22×D5—44no—
804C22×D5—44no—
805C22×D5C23×C412yes—
806C22×D5C23×C412yes—
807C22×D5C23×C412yes—
808C5×D4—28no—
809C2×C4×C5—21no—
810C2×C4×C5—21no—
811C2×C4×C5—21no—
812C2×C4×C5—21no—
813C2×C4×C5—21no—
814C2×C4×C5—21no—
815C2×C4×C5—21no—
816C2×C4×C5—21no—
817C2×C4×C5—21no—
818C2×C4×C5—21no—
819C2×C4×C5—21no—
820C2×C4×C5—21no—
821C2×C4×C5—21no—
822C2×C4×C5—21no—
823C2×C4×C5—21no—
824C2×C4×C5—21no—
825C2×C4×C5—28no—
826C2×C4×C5—21no—
827C2×C4×C5—21no—
828C2×C4×C5—21no—
829C2×C4×C5—21no—
830C2×C4×C5—21no—
831C2×C4×C5—21no—
832C2×C4×C5—21no—
833C2×C4×C5—21no—
834C2×C4×C5—21no—
835C2×C4×C5—21no—
836C2×C4×C5—21no—
837C2×C4×C5—21no—
838C2×C4×C5—44no—
839C2×C4×C5—44no—
840C2×C4×C5—44no—
841C2×C4×C5—44no—
842C2×C4×C5—44no—
843C2×C4×C5C23×C412yes—
844C2×C4×C5C23×C412yes—
845C2×C4×C5C23×C412yes—
846C2×C4×C5C23×C412yes—
847C2×C4×C5C23×C412yes—
848C2×C4×C5C2×#4112yes—
849C2×C4×C5C2×#4112yes—
850C2×C4×C5C2×#4112yes—
851C2×C4×C5C2×#4112yes—
852C2×C4×C5H(5,𝔽2)12yes—
853C2×C4×C5H(5,𝔽2)12yes—
854C22⋊D5—28no—
855C22⋊D5—44no—
856C22⋊D5—44no—
857C22⋊D5—44no—
858C2×Dic5—21no—
859C2×Dic5—21no—
860C2×Dic5—21no—
861C2×Dic5—21no—
862C2×Dic5—21no—
863C2×Dic5—21no—
864C2×Dic5—21no—
865C2×Dic5—21no—
866C2×Dic5—21no—
867C2×Dic5—21no—
868C2×Dic5—21no—
869C2×Dic5—21no—
870C2×Dic5—21no—
871C2×Dic5—21no—
872C2×Dic5—21no—
873C2×Dic5—21no—
874C2×Dic5—21no—
875C2×Dic5—21no—
876C2×Dic5—21no—
877C2×Dic5—21no—
878C2×Dic5—21no—
879C2×Dic5—21no—
880C2×Dic5—21no—
881C2×Dic5—21no—
882C2×Dic5—21no—
883C2×Dic5—21no—
884C2×Dic5—21no—
885C2×Dic5—21no—
886C2×Dic5—21no—
887C2×Dic5—21no—
888C2×Dic5—21no—
889C2×Dic5—21no—
890C2×Dic5—21no—
891C2×Dic5—21no—
892C2×Dic5—44no—
893C2×Dic5—44no—
894C2×Dic5—44no—
895C2×Dic5C23×C412yes—
896C2×Dic5C23×C412yes—
897C2×Dic5C23×C412yes—
898C2×Dic5C23×C412yes—
899C2×Dic5C23×C412yes—
900D20—44no—
901D20—44no—
902C4×D5—44no—
903C4×D5—44no—
904C4×D5—44no—
905C4×D5—44no—
906C4×D5—44no—
907C4×D5—44no—
908C4×D5—44no—
909Dic10—44no—
910C25—51no—
911C22×Q8—51no—
912C22×D4—51no—
913C22×D4—51no—
914C22×D4—51no—
915C22×D4—51no—
916C22×D4—51no—
917C22×D4—51no—
918C22×D4C22×D511yescharacteristic
919C23×C4—51no—
920C23×C4—51no—
921C23×C4—51no—
922C23×C4—51no—
923C23×C4—51no—
924C23×C4—51no—
925C23×C4—51no—
926C23×C4—51no—
927C23×C4—51no—
928C23×C4—51no—
929C23×C4—104no—
930C23×C4—202no—
931C23×C4—202no—
932C23×C4C22×D511yescharacteristic
933C23×C4C22×D511yescharacteristic
934C23×C4C22×D511yescharacteristic
935C23×C4C22×D511yescharacteristic
936C23×C4C22×D511yescharacteristic
937C23×C4C22×D511yescharacteristic
938#126—58no—
939#126—58no—
940#124—58no—
941#124—58no—
942#123—58no—
943#123—58no—
944C22⋊Q8—58no—
945#121—58no—
946#121—58no—
947#121—58no—
948#120—58no—
949#120—58no—
950C4×Q8—202no—
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—58no—
954C4×D4—104no—
955C4×D4—104no—
956C4×D4—202no—
957C4×D4—202no—
958C4×D4—202no—
959C4×D4—202no—
960C4×D4—202no—
961C4×D4C4×D518yescomplemented
962C2×C4⋊C4—51no—
963C2×C4⋊C4—51no—
964C2×C4⋊C4—51no—
965C2×C4⋊C4—51no—
966C2×C4⋊C4—51no—
967C2×C4⋊C4—51no—
968C2×C4⋊C4—51no—
969C2×C4⋊C4—51no—
970C2×C4⋊C4—51no—
971C2×C4⋊C4—51no—
972C2×C4⋊C4—51no—
973C2×C4⋊C4—51no—
974C2×C4⋊C4—51no—
975C2×C4⋊C4—51no—
976C2×C4⋊C4—51no—
977C2×C4⋊C4—51no—
978C2×C4⋊C4—51no—
979C2×C4⋊C4—51no—
980C2×C4⋊C4—51no—
981C2×C4⋊C4C22×D511yescharacteristic
982C2×C4⋊C4C22×D511yescharacteristic
983C2×C4⋊C4C22×D511yescharacteristic
984C2×C22⋊C4—51no—
985C2×C22⋊C4—51no—
986C2×C22⋊C4—58no—
987C2×C22⋊C4—51no—
988C2×C22⋊C4—51no—
989C2×C22⋊C4—51no—
990C2×C22⋊C4—51no—
991C2×C22⋊C4—51no—
992C2×C22⋊C4—51no—
993C2×C22⋊C4—51no—
994C2×C22⋊C4—51no—
995C2×C22⋊C4—51no—
996C2×C22⋊C4—51no—
997C2×C22⋊C4—51no—
998C2×C22⋊C4—51no—
999C2×C22⋊C4—51no—
1000C2×C22⋊C4—51no—
1001C2×C22⋊C4—51no—
1002C2×C22⋊C4—51no—
1003C2×C22⋊C4—51no—
1004C2×C22⋊C4—51no—
1005C2×C22⋊C4—51no—
1006C2×C22⋊C4—51no—
1007C2×C22⋊C4—51no—
1008C2×C22⋊C4—51no—
1009C2×C22⋊C4—51no—
1010C2×C22⋊C4—51no—
1011C2×C22⋊C4—51no—
1012C2×C22⋊C4—51no—
1013C2×C22⋊C4—51no—
1014C2×C22⋊C4—51no—
1015C2×C22⋊C4—51no—
1016C2×C22⋊C4—51no—
1017C2×C22⋊C4—51no—
1018C2×C22⋊C4—51no—
1019C2×C22⋊C4—51no—
1020C2×C22⋊C4—51no—
1021C2×C22⋊C4—104no—
1022C2×C22⋊C4C22×D511yescharacteristic
1023C2×C22⋊C4C22×D511yescharacteristic
1024C2×C22⋊C4C22×D511yescharacteristic
1025C2×C22⋊C4C22×D511yescharacteristic
1026C2×C22⋊C4C22×D511yescharacteristic
1027C2×C22⋊C4C22×D511yescharacteristic
1028C2×C42—42no—
1029C2×C42—42no—
1030C2×C42—51no—
1031C2×C42—51no—
1032C2×C42—51no—
1033C2×C42—51no—
1034C2×C42—51no—
1035C2×C42—51no—
1036C2×C42—51no—
1037C2×C42—51no—
1038C2×C42—51no—
1039C2×C42—51no—
1040C2×C42—51no—
1041C2×C42—51no—
1042C2×C42—51no—
1043C2×C42—202no—
1044C2×C42—202no—
1045C2×C42C22×D511yescharacteristic
1046C2×C42C22×D511yescharacteristic
1047C2×C42C22×D511yescharacteristic
1048C2×C42C22×D511yescharacteristic
1049C2×C42C22×D511yescharacteristic
1050C2×C42C22×D511yescharacteristic
1051C2×C42C22×D511yescharacteristic
1052C2×C42C22×D511yescharacteristic
1053C2×C42C22×D511yescharacteristic
1054C2×C42C22×D511yescharacteristic
1055C2×C42C22×D511yescharacteristic
1056C2×C42C22×D511yescharacteristic
1057C2×C42C22×D511yescharacteristic
1058#95—51no—
1059#95—51no—
1060#95—51no—
1061#95—51no—
1062#95—51no—
1063#95—51no—
1064#95—51no—
1065#95—51no—
1066#95—51no—
1067#95—51no—
1068#95—51no—
1069#95—51no—
1070#95—51no—
1071#95—51no—
1072#95—51no—
1073#95—51no—
1074#95—51no—
1075#95—51no—
1076#95—51no—
1077#95—51no—
1078#95—51no—
1079#95—51no—
1080#95—51no—
1081#95—51no—
1082#95—51no—
1083#95—51no—
1084#95—51no—
1085#95—51no—
1086#95—51no—
1087#95—51no—
1088#95—51no—
1089#95—51no—
1090#95—51no—
1091#95—51no—
1092#95C22×D511yescharacteristic
1093#95C22×D511yescharacteristic
1094#95C22×D511yescharacteristic
1095#95C22×D511yescharacteristic
1096#95C22×D511yescharacteristic
1097#95C22×D511yescharacteristic
1098C22×C5—22no—
1099C22×C5—22no—
1100C22×C5—22no—
1101C22×C5—22no—
1102C22×C5—22no—
1103C22×C5—22no—
1104C22×C5—22no—
1105C22×C5—22no—
1106C22×C5—22no—
1107C22×C5—41no—
1108C22×C5—41no—
1109C22×C5—41no—
1110C22×C5—41no—
1111C22×C5C4×#4114yes—
1112C22×C5C24×C411yescharacteristic
1113C22×C5C22×#4111yescharacteristic
1114C22×C5C22×#4111yescharacteristic
1115C22×C5C2×H(5,𝔽2)11yescharacteristic
1116C22×C5C2×H(5,𝔽2)11yescharacteristic
1117C22×C5#58511yescharacteristic
1118C22×C5#58511yescharacteristic
1119C2×D5—22no—
1120C2×D5—22no—
1121C2×D5—22no—
1122C2×D5—22no—
1123C2×D5—22no—
1124C2×D5—22no—
1125C2×D5—22no—
1126C2×D5—22no—
1127C2×D5—22no—
1128C2×D5—416no—
1129C2×D5—41no—
1130C2×D5—41no—
1131C2×D5—41no—
1132C2×D5—41no—
1133C2×D5—41no—
1134C2×D5—41no—
1135C2×D5—41no—
1136C2×D5—41no—
1137C2×D5—41no—
1138C2×D5—41no—
1139C2×D5—41no—
1140C2×D5—41no—
1141C4×C5—22no—
1142C4×C5—22no—
1143C4×C5—22no—
1144C4×C5—22no—
1145C4×C5—22no—
1146C4×C5—22no—
1147C4×C5—22no—
1148C4×C5—22no—
1149C4×C5—41no—
1150C4×C5—41no—
1151C4×C5—41no—
1152C4×C5—41no—
1153C4×C5#53814yescomplemented
1154Dic5—22no—
1155Dic5—22no—
1156Dic5—22no—
1157Dic5—22no—
1158Dic5—22no—
1159Dic5—41no—
1160Dic5—41no—
1161Dic5—41no—
1162Dic5—41no—
1163Dic5—41no—
1164Dic5—41no—
1165Dic5—41no—
1166Dic5—41no—
1167C24—51no—
1168C24—51no—
1169C24—51no—
1170C24—54no—
1171C24—102no—
1172C24—102no—
1173C24—201no—
1174C24—201no—
1175C24—201no—
1176C24—201no—
1177C24C23×D511yescharacteristic
1178C24C23×D511yescharacteristic
1179C2×Q8—54no—
1180C2×Q8—201no—
1181C2×Q8—201no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—54no—
1185C2×D4—54no—
1186C2×D4—54no—
1187C2×D4—54no—
1188C2×D4—54no—
1189C2×D4—54no—
1190C2×D4—102no—
1191C2×D4—102no—
1192C2×D4—201no—
1193C2×D4—201no—
1194C2×D4—201no—
1195C2×D4—201no—
1196C2×D4—201no—
1197C2×D4—201no—
1198C2×D4—201no—
1199C2×D4—201no—
1200C2×D4—201no—
1201C2×D4—201no—
1202C2×D4C2×C4×D514yes—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—51no—
1218C22×C4—51no—
1219C22×C4—51no—
1220C22×C4—51no—
1221C22×C4—51no—
1222C22×C4—54no—
1223C22×C4—54no—
1224C22×C4—51no—
1225C22×C4—51no—
1226C22×C4—51no—
1227C22×C4—51no—
1228C22×C4—51no—
1229C22×C4—51no—
1230C22×C4—51no—
1231C22×C4—51no—
1232C22×C4—102no—
1233C22×C4—102no—
1234C22×C4—102no—
1235C22×C4—102no—
1236C22×C4—102no—
1237C22×C4—102no—
1238C22×C4—102no—
1239C22×C4—102no—
1240C22×C4—102no—
1241C22×C4—102no—
1242C22×C4—102no—
1243C22×C4—102no—
1244C22×C4—102no—
1245C22×C4—102no—
1246C22×C4—201no—
1247C22×C4—201no—
1248C22×C4—201no—
1249C22×C4—201no—
1250C22×C4—201no—
1251C22×C4—201no—
1252C22×C4—201no—
1253C22×C4—201no—
1254C22×C4—2016no—
1255C22×C4—201no—
1256C22×C4—201no—
1257C22×C4—201no—
1258C22×C4—201no—
1259C22×C4—201no—
1260C22×C4—201no—
1261C22×C4C2×C4×D514yes—
1262C22×C4C2×C4×D514yescomplemented
1263C22×C4#70914yes—
1264C22×C4#70914yes—
1265C22×C4C23×D511yescharacteristic
1266C22×C4C23×D511yescharacteristic
1267C22×C4C23×D511yescharacteristic
1268C22×C4C23×D511yescharacteristic
1269C22×C4C23×D511yescharacteristic
1270C22×C4C23×D511yescharacteristic
1271C22×C4C23×D511yescharacteristic
1272C22×C4C23×D511yescharacteristic
1273C22×C4C23×D511yescharacteristic
1274C22×C4C23×D511yescharacteristic
1275C22×C4C23×D511yescharacteristic
1276C22×C4C23×D511yescharacteristic
1277C22×C4C23×D511yescharacteristic
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—54no—
1281C4⋊C4—54no—
1282C4⋊C4—54no—
1283C4⋊C4—54no—
1284C4⋊C4—54no—
1285C4⋊C4—102no—
1286C4⋊C4—102no—
1287C4⋊C4—201no—
1288C4⋊C4—201no—
1289C4⋊C4—201no—
1290C4⋊C4—201no—
1291C4⋊C4—201no—
1292C4⋊C4—201no—
1293C4⋊C4—201no—
1294C4⋊C4—201no—
1295C4⋊C4—201no—
1296C4⋊C4—201no—
1297C4⋊C4—201no—
1298C4⋊C4—201no—
1299C4⋊C4C2×C4×D514yescomplemented
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—54no—
1305C22⋊C4—54no—
1306C22⋊C4—54no—
1307C22⋊C4—54no—
1308C22⋊C4—54no—
1309C22⋊C4—54no—
1310C22⋊C4—54no—
1311C22⋊C4—54no—
1312C22⋊C4—54no—
1313C22⋊C4—54no—
1314C22⋊C4—54no—
1315C22⋊C4—54no—
1316C22⋊C4—102no—
1317C22⋊C4—102no—
1318C22⋊C4—102no—
1319C22⋊C4—102no—
1320C22⋊C4—102no—
1321C22⋊C4—102no—
1322C22⋊C4—102no—
1323C22⋊C4—102no—
1324C22⋊C4—201no—
1325C22⋊C4—201no—
1326C22⋊C4—201no—
1327C22⋊C4—201no—
1328C22⋊C4—201no—
1329C22⋊C4—201no—
1330C22⋊C4—201no—
1331C22⋊C4—201no—
1332C22⋊C4—201no—
1333C22⋊C4—201no—
1334C22⋊C4—201no—
1335C22⋊C4—201no—
1336C22⋊C4—201no—
1337C22⋊C4—201no—
1338C22⋊C4—201no—
1339C22⋊C4—201no—
1340C22⋊C4C2×C4×D514yes—
1341C22⋊C4C2×C4×D514yescomplemented
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C42—41no—
1352C42—41no—
1353C42—41no—
1354C42—54no—
1355C42—102no—
1356C42—102no—
1357C42—102no—
1358C42—102no—
1359C42—102no—
1360C42—102no—
1361C42—201no—
1362C42—201no—
1363C42—201no—
1364C42—201no—
1365C42—201no—
1366C42—201no—
1367C42C2×C4×D514yescomplemented
1368C2×C5—24no—
1369C2×C5—42no—
1370C2×C5C2×C4×#4111yescharacteristic
1371C2×C5C4×H(5,𝔽2)11yescharacteristic
1372C2×C5C4×H(5,𝔽2)11yescharacteristic
1373C2×C5C2×#53811yescharacteristic
1374C2×C5#345511yescharacteristic
1375C2×C5#345911yescharacteristic
1376C2×C5#346011yescharacteristic
1377D5—42no—
1378D5—42no—
1379D5—42no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—52no—
1391C23—52no—
1392C23—52no—
1393C23—108no—
1394C23—101no—
1395C23—101no—
1396C23—101no—
1397C23—101no—
1398C23—101no—
1399C23—101no—
1400C23—101no—
1401C23—101no—
1402C23—101no—
1403C23—101no—
1404C23—101no—
1405C23—101no—
1406C23—101no—
1407C23—101no—
1408C23—101no—
1409C23—101no—
1410C23—101no—
1411C23—101no—
1412C23—204no—
1413C23—204no—
1414C23—204no—
1415C23—204no—
1416C23—204no—
1417C23—204no—
1418C23C22×C4×D512yes—
1419C23C22×C4×D512yes—
1420C23C2×#70912yes—
1421C23C2×#70912yes—
1422C23C24×D511yescharacteristic
1423Q8—204no—
1424D4—28no—
1425D4—108no—
1426D4—204no—
1427D4—204no—
1428D4—204no—
1429D4—204no—
1430D4—204no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—28no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—52no—
1466C2×C4—52no—
1467C2×C4—52no—
1468C2×C4—52no—
1469C2×C4—52no—
1470C2×C4—101no—
1471C2×C4—101no—
1472C2×C4—101no—
1473C2×C4—101no—
1474C2×C4—101no—
1475C2×C4—101no—
1476C2×C4—101no—
1477C2×C4—101no—
1478C2×C4—101no—
1479C2×C4—101no—
1480C2×C4—101no—
1481C2×C4—101no—
1482C2×C4—101no—
1483C2×C4—101no—
1484C2×C4—101no—
1485C2×C4—101no—
1486C2×C4—101no—
1487C2×C4—101no—
1488C2×C4—101no—
1489C2×C4—101no—
1490C2×C4—101no—
1491C2×C4—101no—
1492C2×C4—101no—
1493C2×C4—101no—
1494C2×C4—101no—
1495C2×C4—101no—
1496C2×C4—101no—
1497C2×C4—101no—
1498C2×C4—101no—
1499C2×C4—101no—
1500C2×C4—101no—
1501C2×C4—101no—
1502C2×C4—101no—
1503C2×C4—101no—
1504C2×C4—204no—
1505C2×C4—204no—
1506C2×C4—204no—
1507C2×C4—204no—
1508C2×C4—204no—
1509C2×C4—204no—
1510C2×C4—204no—
1511C2×C4—204no—
1512C2×C4—204no—
1513C2×C4—204no—
1514C2×C4C22×C4×D512yes—
1515C2×C4C22×C4×D512yes—
1516C2×C4C22×C4×D512yes—
1517C2×C4C22×C4×D512yes—
1518C2×C4C22×C4×D512yes—
1519C2×C4C2×#70912yes—
1520C2×C4C2×#70912yes—
1521C2×C4C2×#70912yes—
1522C2×C4C2×#70912yes—
1523C2×C4#414412yes—
1524C2×C4#414912yes—
1525C5C4×#53811yescharacteristic, complemented, Sylow
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—102no—
1540C22—102no—
1541C22—102no—
1542C22—102no—
1543C22—102no—
1544C22—102no—
1545C22—102no—
1546C22—102no—
1547C22—102no—
1548C22—2016no—
1549C22—201no—
1550C22—201no—
1551C22—201no—
1552C22—201no—
1553C22—201no—
1554C22—201no—
1555C22—201no—
1556C22—201no—
1557C22—201no—
1558C22—201no—
1559C22—201no—
1560C22—201no—
1561C22C4×#70914yes—
1562C22C23×C4×D511yescharacteristic
1563C22C22×#70911yescharacteristic
1564C22C22×#70911yescharacteristic
1565C22C2×#414411yescharacteristic
1566C22C2×#414911yescharacteristic
1567C22#6628311yescharacteristic
1568C22#6628311yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—102no—
1582C4—102no—
1583C4—102no—
1584C4—102no—
1585C4—102no—
1586C4—201no—
1587C4—201no—
1588C4—201no—
1589C4—201no—
1590C4—201no—
1591C4—201no—
1592C4—201no—
1593C4—201no—
1594C4#6589414yesdirect product factor
1595C2—24no—
1596C2—42no—
1597C2—202no—
1598C2—202no—
1599C2—202no—
1600C2C2×C4×#70911yescharacteristic
1601C2C4×#414411yescharacteristic
1602C2C2×#6589411yescharacteristic
1603C2#1061767711yescharacteristic
1604C2C4×#414911yescharacteristic
1605C2#1061773811yescharacteristic
1606C2#1061773911yescharacteristic
subgroupG/H
centerC22×C4C23×D5
commutatorC22×C5C24×C4
FrattiniC23C24×D5
FittingC42×C5×D4C2
socle, cosocleC23×C5C25
prime radicalC2×#65894C2
hypercenterC42×D4D5
hypocenterC5C4×#538
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22×C4 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
2. C42×C5×D4C2semidirect
3. #10614126C2semidirect
4. C4×#4083C2semidirect
5. #10614058C2semidirect
6. #10614055C2semidirect
7. C4×#4085C2semidirect
8. C4×#4075C2semidirect
9. C4×#4076C2semidirect
10. C42×C22⋊D5C2semidirect
11. C2×C4×#685C2semidirect
12. #10605496C2semidirect
13. C4×#4040C2semidirect
14. #10605363C2semidirect
15. #10605360C2semidirect
16. #10605359C2semidirect
17. C4×#4044C2semidirect
18. #10605301C2semidirect
19. #10605300C2semidirect
20. #10605299C2semidirect
21. #10605298C2semidirect
22. C4×#4030C2semidirect
23. C4×#4028C2semidirect
24. #10605183C2semidirect
25. #10605182C2semidirect
26. #10605180C2semidirect
27. #10605178C2semidirect
28. C4×#4031C2semidirect
29. C4×#4024C2semidirect
30. C4×#4022C2semidirect
31. C4×#4021C2semidirect
37. C22×C42×C5C22semidirect
47. C2×C4×C22⋊D5C22semidirect
51. #65894C4direct (N × H)
62. C2×C42×D5C22semidirect
63. C2×C4×Dic10C22semidirect
64. C4×C5×C4⋊C4C22semidirect
65. C4×C5×C4⋊C4C22semidirect
66. C4×C5×C4⋊C4C22semidirect
70. C4×C5×C22⋊C4C22semidirect
71. C4×C5×C22⋊C4C22semidirect
72. C4×C5×C22⋊C4C22semidirect
73. C43×C5C22semidirect
78. #65502C22semidirect
79. #65501C22semidirect
80. #65500C22semidirect
81. #65499C22semidirect
85. C4×C22⋊Dic5C22semidirect
90. #65279C22semidirect
93. #65278C22semidirect
94. #65270C22semidirect
95. #65270C22semidirect
96. #65267C22semidirect
97. #65261C22semidirect
102. #65246C22semidirect
105. #65245C22semidirect
108. #65240C22semidirect
109. #65240C22semidirect
114. #65234C22semidirect
115. #65233C22semidirect
126. #65229C22semidirect
127. #65229C22semidirect
128. #65229C22semidirect
143. C4×#685C22semidirect
144. C4×#685C22semidirect
145. C4×#685C22semidirect
146. C4×#685C22semidirect
147. #65226C22semidirect
148. #65225C22semidirect
149. C4×C4⋊Dic5C22semidirect
150. #65222C22semidirect
151. #65222C22semidirect
152. #65222C22semidirect
153. #65222C22semidirect
154. #65222C22semidirect
155. C4×#683C22semidirect
156. C4×#683C22semidirect
157. C4×#683C22semidirect
158. C4×#683C22semidirect
159. C4×#683C22semidirect
160. C4×#683C22semidirect
161. C42×Dic5C22semidirect
162. #65218C22semidirect
163. #65217C22semidirect
172. #64956C22semidirect
177. #64953C22semidirect
178. #64944C22semidirect
179. #64944C22semidirect
180. #64943C22semidirect
181. #64943C22semidirect
182. #64940C22semidirect
183. #64939C22semidirect
184. #64936C22semidirect
185. #64936C22semidirect
186. #64935C22semidirect
187. #64935C22semidirect
219. C4×C5×D4C2×C4semidirect
252. #4085C2×C4semidirect
253. #4083C2×C4semidirect
254. #4076C2×C4semidirect
255. #4075C2×C4semidirect
261. C4×C22⋊D5C2×C4semidirect
263. C2×#685C2×C4semidirect
325. #4044C2×C4semidirect
326. #4040C2×C4semidirect
327. #4031C2×C4semidirect
328. #4030C2×C4semidirect
329. #4028C2×C4semidirect
330. #4024C2×C4semidirect
331. #4022C2×C4semidirect
332. #4021C2×C4semidirect
406. C42×D4D5semidirect
438. C22×C4×C5C22×C4semidirect
465. C2×C22⋊D5C22×C4semidirect
515. C2×C4×D5C22×C4semidirect
518. C2×Dic10C22×C4semidirect
521. C5×C4⋊C4C22×C4semidirect
527. C5×C22⋊C4C22×C4semidirect
540. C42×C5C22×C4semidirect
548. C22⋊Dic5C22×C4semidirect
575. #685C22×C4semidirect
576. #685C22×C4semidirect
581. C4⋊Dic5C22×C4semidirect
592. #683C22×C4semidirect
593. #683C22×C4semidirect
594. #683C22×C4semidirect
595. #683C22×C4semidirect
608. C4×Dic5C22×C4semidirect
640. C22×C42C2×D5semidirect
732. C4×C4⋊C4C2×D5semidirect
733. C4×C4⋊C4C2×D5semidirect
734. C4×C4⋊C4C2×D5semidirect
758. C4×C22⋊C4C2×D5semidirect
759. C4×C22⋊C4C2×D5semidirect
760. C4×C22⋊C4C2×D5semidirect
764. C43C2×D5semidirect
961. C4×D4C4×D5semidirect
1153. C4×C5#538semidirect
1262. C22×C4C2×C4×D5semidirect
1299. C4⋊C4C2×C4×D5semidirect
1341. C22⋊C4C2×C4×D5semidirect
1367. C42C2×C4×D5semidirect
1525. C5C4×#538semidirect
1594. C4#65894direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#658942
C42×C5×D42
#106141262
C4×#40832
#106140582
#106140552
C4×#40852
C4×#40752
C4×#40762
C42×C22⋊D52
C2×C4×#6852
#106054962
C4×#40402
#106053632
#106053602
#106053592
C4×#40442
#106053012
#106053002
#106052992
#106052982
C4×#40302
C4×#40282
#106051832
#106051822
#106051802
#106051782
C4×#40312
C4×#40242
C4×#40222
C4×#40212
C4×#5385