Finite Group Databasebeta

← #12278427

Subgroups — #12278427

Order 1280.

3114 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65990C211yesmaximal, characteristic, complemented
2C2×#65820C211yesmaximal, characteristic, complemented
3C5×#2418C211yesmaximal, characteristic, complemented
4#10614581C211yesmaximal, characteristic, complemented
5#10614335C211yesmaximal, characteristic, complemented
6#10614312C211yesmaximal, characteristic, complemented
7C4×#4083C211yesmaximal, characteristic, complemented
8#10614095C211yesmaximal, characteristic, complemented
9#10613840C211yesmaximal, characteristic, complemented
10#10609833C211yesmaximal, characteristic, complemented
11#10609775C211yesmaximal, characteristic, complemented
12#10609405C211yesmaximal, characteristic, complemented
13#10609265C211yesmaximal, characteristic, complemented
14#10608843C211yesmaximal, characteristic, complemented
15#10608839C211yesmaximal, characteristic, complemented
16#10608699C211yesmaximal, characteristic, complemented
17#10608625C211yesmaximal, characteristic, complemented
18#10607596C211yesmaximal, characteristic, complemented
19#10607589C211yesmaximal, characteristic, complemented
20#10607557C211yesmaximal, characteristic, complemented
21#10607188C211yesmaximal, characteristic, complemented
22#10606625C211yesmaximal, characteristic, complemented
23D5×#386C211yesmaximal, characteristic, complemented
24#10606507C211yesmaximal, characteristic, complemented
25#10606455C211yesmaximal, characteristic, complemented
26#10606344C211yesmaximal, characteristic, complemented
27#10606325C211yesmaximal, characteristic, complemented
28#10605754C211yesmaximal, characteristic, complemented
29#10605664C211yesmaximal, characteristic, complemented
30#10605585C211yesmaximal, characteristic, complemented
31#10605565C211yesmaximal, characteristic, complemented
32C23×C22⋊D5C2211yescharacteristic
33C22×#711C2211yescharacteristic, complemented
34C22×D4×D5C2211yescharacteristic
35C23×C4×D5C2211yescharacteristic, complemented
36C2×C5×#123C2211yescharacteristic, complemented
37C2×C5×#120C2211yescharacteristic
38C2×C4×C5×D4C2211yescharacteristic, complemented
39C22×C5×C22⋊C4C2211yescharacteristic, complemented
40C2×#4099C2211yescharacteristic
41C2×#4099C2211yescharacteristic, complemented
42C22×C22⋊Dic5C2211yescharacteristic, complemented
43C2×#4083C2211yescharacteristic
44C2×#4083C2211yescharacteristic
45C2×#4076C2211yescharacteristic, complemented
46C2×#4075C2211yescharacteristic, complemented
47C2×C4×C22⋊D5C2211yescharacteristic
48C2×C4×C22⋊D5C2211yescharacteristic
49C2×C4×C22⋊D5C2211yescharacteristic, complemented
50C2×C4×C22⋊D5C2211yescharacteristic, complemented
51C2×C4×C22⋊D5C2211yescharacteristic, complemented
52#65990—28no—
53C2×#4042C2211yescharacteristic, complemented
54C2×#4042C2211yescharacteristic, complemented
55C2×#4042C2211yescharacteristic, complemented
56C2×#4041C2211yescharacteristic, complemented
57C2×#4039C2211yescharacteristic, complemented
58C2×#4039C2211yescharacteristic, complemented
59C2×#4032C2211yescharacteristic, complemented
60C2×#4030C2211yescharacteristic
61C2×#4030C2211yescharacteristic
62C2×#4030C2211yescharacteristic, complemented
63C2×#4030C2211yescharacteristic, complemented
64C2×#4028C2211yescharacteristic
65C2×#4028C2211yescharacteristic, complemented
66#65820—28no—
67C2×#4027C2211yescharacteristic
68C2×#4027C2211yescharacteristic
69C2×#4027C2211yescharacteristic, complemented
70C2×#4027C2211yescharacteristic, complemented
71C2×#4027C2211yescharacteristic, complemented
72C2×D5×C22⋊C4C2211yescharacteristic
73C2×D5×C22⋊C4C2211yescharacteristic
74C2×D5×C22⋊C4C2211yescharacteristic
75C2×D5×C22⋊C4C2211yescharacteristic, complemented
76C2×#4023C2211yescharacteristic, complemented
77C2×#4023C2211yescharacteristic, complemented
78C2×#4023C2211yescharacteristic, complemented
79C5×#399C2211yescharacteristic, complemented
80C5×#397C2211yescharacteristic, complemented
81C5×#394C2211yescharacteristic
82C5×#394C2211yescharacteristic, complemented
83C5×#388C2211yescharacteristic, complemented
84C5×#388C2211yescharacteristic, complemented
85C5×#386C2211yescharacteristic
86C5×#386C2211yescharacteristic, complemented
87C5×#385C2211yescharacteristic, complemented
88C5×#380C2211yescharacteristic, complemented
89C5×#379C2211yescharacteristic, complemented
90#65512C2211yescharacteristic
91#65512C2211yescharacteristic
92#65512C2211yescharacteristic
93#65512C2211yescharacteristic, complemented
94#65509C2211yescharacteristic
95#65509C2211yescharacteristic
96#65509C2211yescharacteristic, complemented
97#65509C2211yescharacteristic, complemented
98#65502C2211yescharacteristic, complemented
99#65502C2211yescharacteristic, complemented
100#65499C2211yescharacteristic, complemented
101C4×C22⋊Dic5C2211yescharacteristic, complemented
102#65279C2211yescharacteristic, complemented
103#65279C2211yescharacteristic, complemented
104#65279C2211yescharacteristic, complemented
105#65278C2211yescharacteristic, complemented
106#65278C2211yescharacteristic, complemented
107#65278C2211yescharacteristic, complemented
108#65278C2211yescharacteristic, complemented
109#65278C2211yescharacteristic, complemented
110#65276C2211yescharacteristic, complemented
111#65276C2211yescharacteristic, complemented
112#65272C2211yescharacteristic, complemented
113#65271C2211yescharacteristic, complemented
114#65267C2211yescharacteristic, complemented
115#65266C2211yescharacteristic, complemented
116#65249C2211yescharacteristic
117#65249C2211yescharacteristic
118#65249C2211yescharacteristic
119#65249C2211yescharacteristic, complemented
120#65249C2211yescharacteristic, complemented
121#65248C2211yescharacteristic
122#65248C2211yescharacteristic, complemented
123#65248C2211yescharacteristic, complemented
124#65248C2211yescharacteristic, complemented
125#65248C2211yescharacteristic, complemented
126#65248C2211yescharacteristic, complemented
127#65247C2211yescharacteristic
128#65247C2211yescharacteristic, complemented
129#65247C2211yescharacteristic, complemented
130#65247C2211yescharacteristic, complemented
131#65246C2211yescharacteristic, complemented
132#65246C2211yescharacteristic, complemented
133#65245C2211yescharacteristic
134#65245C2211yescharacteristic
135#65245C2211yescharacteristic
136#65245C2211yescharacteristic
137#65245C2211yescharacteristic
138#65245C2211yescharacteristic
139#65245C2211yescharacteristic, complemented
140#65245C2211yescharacteristic, complemented
141#65245C2211yescharacteristic, complemented
142#65245C2211yescharacteristic, complemented
143#65244C2211yescharacteristic
144#65244C2211yescharacteristic, complemented
145#65240C2211yescharacteristic, complemented
146#65240C2211yescharacteristic, complemented
147#65240C2211yescharacteristic, complemented
148#65240C2211yescharacteristic, complemented
149#65238C2211yescharacteristic, complemented
150#65237C2211yescharacteristic, complemented
151#65237C2211yescharacteristic, complemented
152#65237C2211yescharacteristic, complemented
153#65237C2211yescharacteristic, complemented
154#65236C2211yescharacteristic, complemented
155#65236C2211yescharacteristic, complemented
156#65235C2211yescharacteristic, complemented
157#65235C2211yescharacteristic, complemented
158#65232C2211yescharacteristic, complemented
159#65232C2211yescharacteristic, complemented
160#65231C2211yescharacteristic, complemented
161#65228C2211yescharacteristic, complemented
162C4×#685C2211yescharacteristic, complemented
163C4×#685C2211yescharacteristic, complemented
164#65222C2211yescharacteristic, complemented
165#64964C2211yescharacteristic, complemented
166#64964C2211yescharacteristic, complemented
167#64961C2211yescharacteristic, complemented
168#64959C2211yescharacteristic, complemented
169#64958C2211yescharacteristic, complemented
170#64958C2211yescharacteristic, complemented
171#64957C2211yescharacteristic, complemented
172#64957C2211yescharacteristic, complemented
173#64957C2211yescharacteristic, complemented
174#64954C2211yescharacteristic, complemented
175#64954C2211yescharacteristic, complemented
176#64954C2211yescharacteristic, complemented
177#64954C2211yescharacteristic, complemented
178#64954C2211yescharacteristic, complemented
179#64954C2211yescharacteristic, complemented
180D5×#95C2211yescharacteristic, complemented
181D5×#95C2211yescharacteristic, complemented
182#64947C2211yescharacteristic, complemented
183#64941C2211yescharacteristic, complemented
184#64941C2211yescharacteristic, complemented
185#64941C2211yescharacteristic, complemented
186#64941C2211yescharacteristic, complemented
187#64940C2211yescharacteristic, complemented
188#64935C2211yescharacteristic, complemented
189#35352—51nomaximal, Sylow
190C25×C5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C24×D5C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C23×C4×C5C2311yescharacteristic
199C22×C22⋊D5—24no—
200C22×C22⋊D5—24no—
201C22×C22⋊D5—24no—
202C22×C22⋊D5C2311yescharacteristic
203C22×C22⋊D5C2311yescharacteristic
204C22×C22⋊D5C2311yescharacteristic
205C22×C22⋊D5C2311yescharacteristic
206C22×C22⋊D5C2311yescharacteristic
207C22×C22⋊D5C2311yescharacteristic
208C22×C22⋊D5C2311yescharacteristic
209C22×C22⋊D5C2311yescharacteristic
210C22×C22⋊D5C2311yescharacteristic
211C22×C22⋊D5C2311yescharacteristic
212C22×C22⋊D5C2311yescharacteristic
213C22×C22⋊D5C2311yescharacteristic
214C23×Dic5C2311yescharacteristic
215C23×Dic5C2311yescharacteristic
216C23×Dic5C2311yescharacteristic
217C23×Dic5C2311yescharacteristic
218C2×#711—24no—
219C2×#711—42no—
220C2×#711—42no—
221C2×D4×D5—24no—
222C2×D4×D5—42no—
223C2×D4×D5—42no—
224C22×D20C2311yescharacteristic
225C22×D20C2311yescharacteristic
226C22×D20C2311yescharacteristic
227C22×D20C2311yescharacteristic
228C22×C4×D5—24no—
229C22×C4×D5—42no—
230C22×C4×D5—42no—
231C22×C4×D5C2311yescharacteristic
232C22×C4×D5C2311yescharacteristic
233C22×C4×D5C2311yescharacteristic
234C22×C4×D5C2311yescharacteristic
235C22×C4×D5C2311yescharacteristic
236C22×C4×D5C2311yescharacteristic
237C22×C4×D5C2311yescharacteristic
238C22×C4×D5C2311yescharacteristic
239C22×C4×D5C2311yescharacteristic
240C22×C4×D5C2311yescharacteristic
241C22×Dic10C2311yescharacteristic
242C5×#123—24no—
243C5×#120—42no—
244C4×C5×D4—42no—
245C2×C5×C4⋊C4C2311yescharacteristic
246C2×C5×C4⋊C4C2311yescharacteristic
247C2×C5×C4⋊C4C2311yescharacteristic
248C2×C5×C4⋊C4C2311yescharacteristic
249C2×C5×C4⋊C4C2311yescharacteristic
250C2×C5×C22⋊C4—24no—
251C2×C5×C22⋊C4C2311yescharacteristic
252C2×C5×C22⋊C4C2311yescharacteristic
253C2×C5×C22⋊C4C2311yescharacteristic
254C2×C5×C22⋊C4C2311yescharacteristic
255C2×C5×C22⋊C4C2311yescharacteristic
256C2×C5×C22⋊C4C2311yescharacteristic
257C2×C5×C22⋊C4C2311yescharacteristic
258C2×C5×C22⋊C4C2311yescharacteristic
259C2×C5×C22⋊C4C2311yescharacteristic
260C2×C5×C22⋊C4C2311yescharacteristic
261C2×C5×C22⋊C4C2311yescharacteristic
262C2×C5×C22⋊C4C2311yescharacteristic
263C2×C5×C22⋊C4C2311yescharacteristic
264C2×C5×C22⋊C4C2311yescharacteristic
265C2×C5×C22⋊C4C2311yescharacteristic
266C2×C5×C22⋊C4C2311yescharacteristic
267C2×C42×C5C2311yescharacteristic
268#4099—42no—
269#4099—42no—
270C2×C22⋊Dic5—24no—
271C2×C22⋊Dic5C2311yescharacteristic
272C2×C22⋊Dic5C2311yescharacteristic
273C2×C22⋊Dic5C2311yescharacteristic
274C2×C22⋊Dic5C2311yescharacteristic
275C2×C22⋊Dic5C2311yescharacteristic
276C2×C22⋊Dic5C2311yescharacteristic
277C2×C22⋊Dic5C2311yescharacteristic
278C2×C22⋊Dic5C2311yescharacteristic
279C2×C22⋊Dic5C2311yescharacteristic
280C2×C22⋊Dic5C2311yescharacteristic
281C2×C22⋊Dic5C2311yescharacteristic
282C2×C22⋊Dic5C2311yescharacteristic
283C2×C22⋊Dic5C2311yescharacteristic
284C2×C22⋊Dic5C2311yescharacteristic
285#4083—24no—
286#4083—24no—
287#4076—42no—
288#4075—24no—
289C4×C22⋊D5—24no—
290C4×C22⋊D5—24no—
291C4×C22⋊D5—24no—
292C4×C22⋊D5—24no—
293C4×C22⋊D5—42no—
294C2×#685C2311yescharacteristic
295C2×#685C2311yescharacteristic
296C2×#685C2311yescharacteristic
297C2×#685C2311yescharacteristic
298C2×#685C2311yescharacteristic
299C2×#685C2311yescharacteristic
300C2×#685C2311yescharacteristic
301C2×#685C2311yescharacteristic
302C2×#685C2311yescharacteristic
303C2×#685C2311yescharacteristic
304C2×#685C2311yescharacteristic
305C2×#685C2311yescharacteristic
306C2×#685C2311yescharacteristic
307C2×#685C2311yescharacteristic
308C2×#685C2311yescharacteristic
309C2×#685C2311yescharacteristic
310C2×#685C2311yescharacteristic
311C2×#685C2311yescharacteristic
312C2×#685C2311yescharacteristic
313C2×#685C2311yescharacteristic
314C2×#685C2311yescharacteristic
315C2×#685C2311yescharacteristic
316C2×#685C2311yescharacteristic
317C2×#685C2311yescharacteristic
318C2×#685C2311yescharacteristic
319C2×#685C2311yescharacteristic
320C2×C4⋊Dic5C2311yescharacteristic
321C2×C4⋊Dic5C2311yescharacteristic
322C2×C4⋊Dic5C2311yescharacteristic
323C2×#683C2311yescharacteristic
324C2×#683C2311yescharacteristic
325C2×#683C2311yescharacteristic
326C2×#683C2311yescharacteristic
327C2×#683C2311yescharacteristic
328C2×#683C2311yescharacteristic
329C2×#683C2311yescharacteristic
330C2×#683C2311yescharacteristic
331C2×#683C2311yescharacteristic
332C2×#683C2311yescharacteristic
333C2×#683C2311yescharacteristic
334C2×#683C2311yescharacteristic
335C2×C4×Dic5C2311yescharacteristic
336C2×C4×Dic5C2311yescharacteristic
337C2×C4×Dic5C2311yescharacteristic
338C2×C4×Dic5C2311yescharacteristic
339C2×C4×Dic5C2311yescharacteristic
340C2×C4×Dic5C2311yescharacteristic
341#4042—24no—
342#4042—24no—
343#4042—42no—
344#4041—42no—
345#4039—24no—
346#4039—24no—
347#4032—42no—
348#4030—24no—
349#4030—24no—
350#4030—24no—
351#4030—42no—
352#4028—24no—
353#4028—24no—
354#4027—24no—
355#4027—24no—
356#4027—24no—
357#4027—24no—
358#4027D418yescomplemented
359D5×C22⋊C4—24no—
360D5×C22⋊C4—24no—
361D5×C22⋊C4—42no—
362D5×C22⋊C4—42no—
363#4023—24no—
364#4023—24no—
365#4023—24no—
366C5×#95C2311yescharacteristic
367C5×#95C2311yescharacteristic
368C5×#95C2311yescharacteristic
369C5×#95C2311yescharacteristic
370C5×#95C2311yescharacteristic
371C5×#95C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386#3963C2311yescharacteristic
387#3963C2311yescharacteristic
388#3963C2311yescharacteristic
389#3963C2311yescharacteristic
390#3963C2311yescharacteristic
391#3963C2311yescharacteristic
392#3963C2311yescharacteristic
393#3963C2311yescharacteristic
394#3963C2311yescharacteristic
395#3963C2311yescharacteristic
396#3963C2311yescharacteristic
397#3963C2311yescharacteristic
398C2×#525—51no—
399C2×#518—51no—
400#2609—51no—
401#2600—51no—
402#2598—51no—
403#2598—51no—
404#2535—51no—
405#2534—51no—
406#2477—51no—
407#2471—51no—
408#2464—51no—
409#2463—51no—
410#2457—51no—
411#2456—51no—
412#2450—51no—
413#2444—51no—
414#2437—51no—
415#2424—51no—
416#2424—51no—
417#2418—51no—
418#2418D511yescharacteristic, complemented
419#2410—51no—
420#2410—51no—
421#2407—51no—
422#2404—51no—
423#2403—51no—
424#2325—51no—
425#2321—51no—
426#2318—51no—
427C4×#120—51no—
428C2×#386—51no—
429C24×C5—22no—
430C24×C5—22no—
431C24×C5—22no—
432C24×C5—41no—
433C24×C5—41no—
434C24×C5—41no—
435C24×C5—41no—
436C24×C5C2411yescharacteristic
437C24×C5C2411yescharacteristic
438C24×C5C2411yescharacteristic
439C24×C5C2411yescharacteristic
440C23×D5—22no—
441C23×D5—22no—
442C23×D5—22no—
443C23×D5—22no—
444C23×D5—22no—
445C23×D5—22no—
446C23×D5—22no—
447C23×D5—41no—
448C23×D5—41no—
449C23×D5—41no—
450C23×D5—41no—
451C23×D5—41no—
452C23×D5—41no—
453C23×D5#4114yescomplemented
454C23×D5C2411yescharacteristic
455C23×D5C2411yescharacteristic
456C23×D5C2411yescharacteristic
457C23×D5C2411yescharacteristic
458C2×C5×D4—22no—
459C2×C5×D4—22no—
460C2×C5×D4—22no—
461C2×C5×D4—22no—
462C2×C5×D4—22no—
463C2×C5×D4—22no—
464C2×C5×D4—41no—
465C2×C5×D4—41no—
466C2×C5×D4—41no—
467C22×C4×C5—22no—
468C22×C4×C5—22no—
469C22×C4×C5—22no—
470C22×C4×C5—22no—
471C22×C4×C5—41no—
472C22×C4×C5—41no—
473C22×C4×C5—41no—
474C22×C4×C5—41no—
475C22×C4×C5—41no—
476C22×C4×C5C2411yescharacteristic
477C22×C4×C5C2411yescharacteristic
478C22×C4×C5C2411yescharacteristic
479C22×C4×C5C2411yescharacteristic
480C22×C4×C5C2411yescharacteristic
481C22×C4×C5C2411yescharacteristic
482C22×C4×C5C2411yescharacteristic
483C22×C4×C5C2411yescharacteristic
484C22×C4×C5C2411yescharacteristic
485C22×C4×C5C2411yescharacteristic
486C22×C4×C5C2411yescharacteristic
487C2×C22⋊D5—232no—
488C2×C22⋊D5—22no—
489C2×C22⋊D5—22no—
490C2×C22⋊D5—22no—
491C2×C22⋊D5—22no—
492C2×C22⋊D5—22no—
493C2×C22⋊D5—22no—
494C2×C22⋊D5—22no—
495C2×C22⋊D5—22no—
496C2×C22⋊D5—22no—
497C2×C22⋊D5—22no—
498C2×C22⋊D5—22no—
499C2×C22⋊D5—22no—
500C2×C22⋊D5—22no—
501C2×C22⋊D5—22no—
502C2×C22⋊D5—22no—
503C2×C22⋊D5—22no—
504C2×C22⋊D5—22no—
505C2×C22⋊D5—22no—
506C2×C22⋊D5—22no—
507C2×C22⋊D5—22no—
508C2×C22⋊D5—22no—
509C2×C22⋊D5—22no—
510C2×C22⋊D5—22no—
511C2×C22⋊D5—22no—
512C2×C22⋊D5—41no—
513C2×C22⋊D5—41no—
514C2×C22⋊D5—41no—
515C2×C22⋊D5—41no—
516C2×C22⋊D5—41no—
517C2×C22⋊D5—41no—
518C2×C22⋊D5—41no—
519C2×C22⋊D5—41no—
520C2×C22⋊D5—41no—
521C2×C22⋊D5—41no—
522C2×C22⋊D5C2×D414yes—
523C2×C22⋊D5#4114yescomplemented
524C22×Dic5—22no—
525C22×Dic5—22no—
526C22×Dic5—22no—
527C22×Dic5—22no—
528C22×Dic5—22no—
529C22×Dic5—22no—
530C22×Dic5—22no—
531C22×Dic5—41no—
532C22×Dic5—41no—
533C22×Dic5—41no—
534C22×Dic5—41no—
535C22×Dic5C2×D414yescomplemented
536C22×Dic5C2411yescharacteristic
537C22×Dic5C2411yescharacteristic
538C22×Dic5C2411yescharacteristic
539C22×Dic5C2411yescharacteristic
540C22×Dic5C2411yescharacteristic
541C22×Dic5C2411yescharacteristic
542C22×Dic5C2411yescharacteristic
543C22×Dic5C2411yescharacteristic
544C22×Dic5C2411yescharacteristic
545C22×Dic5C2411yescharacteristic
546C22×Dic5C2411yescharacteristic
547C22×Dic5C2411yescharacteristic
548#711—416no—
549D4×D5—416no—
550C2×D20—22no—
551C2×D20—22no—
552C2×D20—22no—
553C2×D20—22no—
554C2×D20—22no—
555C2×D20—22no—
556C2×D20—22no—
557C2×D20—22no—
558C2×D20—41no—
559C2×D20—41no—
560C2×D20—41no—
561C2×D20—41no—
562C2×C4×D5—22no—
563C2×C4×D5—22no—
564C2×C4×D5—22no—
565C2×C4×D5—22no—
566C2×C4×D5—22no—
567C2×C4×D5—22no—
568C2×C4×D5—22no—
569C2×C4×D5—22no—
570C2×C4×D5—22no—
571C2×C4×D5—22no—
572C2×C4×D5—22no—
573C2×C4×D5—41no—
574C2×C4×D5—41no—
575C2×C4×D5—41no—
576C2×C4×D5—41no—
577C2×C4×D5—41no—
578C2×C4×D5—41no—
579C2×C4×D5—41no—
580C2×C4×D5—41no—
581C2×C4×D5—41no—
582C2×C4×D5—41no—
583C2×C4×D5—416no—
584C2×C4×D5—41no—
585C2×C4×D5—41no—
586C2×C4×D5—41no—
587C2×C4×D5—41no—
588C2×C4×D5—41no—
589C2×C4×D5—41no—
590C2×C4×D5—41no—
591C2×C4×D5—41no—
592C2×C4×D5C2×D414yes—
593C2×Dic10—22no—
594C2×Dic10—22no—
595C2×Dic10—41no—
596C5×C4⋊C4—22no—
597C5×C4⋊C4—22no—
598C5×C4⋊C4—41no—
599C5×C4⋊C4—41no—
600C5×C4⋊C4—41no—
601C5×C22⋊C4—22no—
602C5×C22⋊C4—22no—
603C5×C22⋊C4—22no—
604C5×C22⋊C4—22no—
605C5×C22⋊C4—22no—
606C5×C22⋊C4—22no—
607C5×C22⋊C4—22no—
608C5×C22⋊C4—22no—
609C5×C22⋊C4—41no—
610C5×C22⋊C4—41no—
611C5×C22⋊C4—41no—
612C5×C22⋊C4—41no—
613C5×C22⋊C4—41no—
614C5×C22⋊C4—41no—
615C5×C22⋊C4—41no—
616C5×C22⋊C4C2×D414yescomplemented
617C42×C5—41no—
618C22⋊Dic5—22no—
619C22⋊Dic5—22no—
620C22⋊Dic5—22no—
621C22⋊Dic5—22no—
622C22⋊Dic5—22no—
623C22⋊Dic5—22no—
624C22⋊Dic5—22no—
625C22⋊Dic5—22no—
626C22⋊Dic5—41no—
627C22⋊Dic5—41no—
628C22⋊Dic5—41no—
629C22⋊Dic5—41no—
630C22⋊Dic5—41no—
631C22⋊Dic5—41no—
632#685—22no—
633#685—22no—
634#685—22no—
635#685—22no—
636#685—22no—
637#685—22no—
638#685—22no—
639#685—22no—
640#685—22no—
641#685—22no—
642#685—22no—
643#685—22no—
644#685—22no—
645#685—22no—
646#685—22no—
647#685—22no—
648#685—22no—
649#685—41no—
650#685—41no—
651#685—41no—
652#685—41no—
653#685—41no—
654#685—41no—
655#685—41no—
656#685—41no—
657#685C2×D414yes—
658C4⋊Dic5—41no—
659C4⋊Dic5—41no—
660C4⋊Dic5—41no—
661#683—22no—
662#683—22no—
663#683—22no—
664#683—22no—
665#683—22no—
666#683—22no—
667#683—22no—
668#683—22no—
669#683—41no—
670#683—41no—
671#683—41no—
672#683C2×D414yescomplemented
673C4×Dic5—22no—
674C4×Dic5—22no—
675C4×Dic5—22no—
676C4×Dic5—22no—
677C4×Dic5—41no—
678C4×Dic5C2×D414yescomplemented
679C22×#41—51no—
680C23×D4—51no—
681C23×D4—51no—
682C24×C4—51no—
683#525—108no—
684C2×#123—51no—
685C2×#123—51no—
686C2×#123C2×D511yescharacteristic, complemented
687C2×C22⋊Q8—51no—
688C2×C22⋊Q8—51no—
689C2×C22⋊Q8—51no—
690C2×#121—51no—
691C2×#121—51no—
692C2×#121—51no—
693C2×#121—51no—
694C2×#121—51no—
695C2×#121—51no—
696C2×#120—51no—
697C2×#120—51no—
698C2×#120—51no—
699C2×#120—51no—
700C2×#120—51no—
701C2×#120—51no—
702C2×#120C2×D511yescharacteristic
703#518—108no—
704C2×C4×D4—51no—
705C2×C4×D4—51no—
706C2×C4×D4—51no—
707C2×C4×D4—51no—
708C2×C4×D4—51no—
709C2×C4×D4—51no—
710C2×C4×D4—51no—
711C2×C4×D4—51no—
712C2×C4×D4—51no—
713C2×C4×D4—51no—
714C2×C4×D4—51no—
715C2×C4×D4—51no—
716C2×C4×D4C2×D511yescharacteristic, complemented
717C2×#117—51no—
718C2×#117—51no—
719C2×#117—51no—
720C22×C22⋊C4—51no—
721C22×C22⋊C4—51no—
722C22×C22⋊C4—51no—
723C22×C22⋊C4—51no—
724C22×C22⋊C4—51no—
725C22×C22⋊C4C2×D511yescharacteristic, complemented
726#400—51no—
727#400—51no—
728#399—51no—
729#399C2×D511yescharacteristic, complemented
730#398—51no—
731#397—51no—
732#397—51no—
733#397C2×D511yescharacteristic, complemented
734#396—51no—
735#396—51no—
736#396—51no—
737#396—51no—
738#394—51no—
739#394—51no—
740#394—51no—
741#394—51no—
742#394—51no—
743#394—51no—
744#394—51no—
745#394C2×D511yescharacteristic
746#394C2×D511yescharacteristic, complemented
747#393—51no—
748#393—51no—
749#392—51no—
750#392—51no—
751#392—51no—
752#392—51no—
753#392—51no—
754#392—51no—
755#392—51no—
756#392—51no—
757#392—51no—
758#391—51no—
759#390—51no—
760#390—51no—
761#390—51no—
762#388—51no—
763#388—51no—
764#388—51no—
765#388—51no—
766#388—51no—
767#388—51no—
768#388—51no—
769#388—51no—
770#388—51no—
771#388—51no—
772#388C2×D511yescharacteristic, complemented
773#388C2×D511yescharacteristic, complemented
774#387—51no—
775#387—51no—
776#387—51no—
777#387—51no—
778#387—51no—
779#387—51no—
780#386—51no—
781#386—51no—
782#386—51no—
783#386—51no—
784#386—51no—
785#386—51no—
786#386—51no—
787#386—51no—
788#386—51no—
789#386—51no—
790#386—51no—
791#386—51no—
792#386—51no—
793#386—51no—
794#386—51no—
795#386—51no—
796#386—51no—
797#386—51no—
798#386—51no—
799#386—51no—
800#386—51no—
801#386—51no—
802#386—51no—
803#386—51no—
804#386—51no—
805#386—51no—
806#386C2×D511yescharacteristic
807#386C2×D511yescharacteristic, complemented
808#385—51no—
809#385—51no—
810#385—51no—
811#385—51no—
812#385—51no—
813#385—51no—
814#385—51no—
815#385—51no—
816#385—51no—
817#385—51no—
818#385—51no—
819#385C2×D511yescharacteristic, complemented
820#383—51no—
821#382—51no—
822#381—51no—
823#381—51no—
824#380—51no—
825#380—51no—
826#380—51no—
827#380C2×D511yescharacteristic, complemented
828#379—51no—
829#379—51no—
830#379C2×D511yescharacteristic, complemented
831C4×C22⋊C4—51no—
832C4×C22⋊C4—51no—
833C4×C22⋊C4—51no—
834C2×#95—51no—
835C2×#95—51no—
836C23×C5—28no—
837C23×C5—21no—
838C23×C5—21no—
839C23×C5—21no—
840C23×C5—21no—
841C23×C5—21no—
842C23×C5—21no—
843C23×C5—21no—
844C23×C5—21no—
845C23×C5—21no—
846C23×C5—21no—
847C23×C5—21no—
848C23×C5—21no—
849C23×C5—21no—
850C23×C5—21no—
851C23×C5—21no—
852C23×C5—21no—
853C23×C5—21no—
854C23×C5—21no—
855C23×C5—21no—
856C23×C5—21no—
857C23×C5—21no—
858C23×C5—21no—
859C23×C5—21no—
860C23×C5—21no—
861C23×C5—82no—
862C23×C5—82no—
863C23×C5—82no—
864C23×C5—82no—
865C23×C5—82no—
866C23×C5—82no—
867C23×C5C22×D412yes—
868C23×C5C2×#4112yes—
869C23×C5C2×#4112yes—
870C23×C5H(5,𝔽2)12yes—
871C23×C5C2511yescharacteristic
872C22×D5—21no—
873C22×D5—21no—
874C22×D5—21no—
875C22×D5—21no—
876C22×D5—28no—
877C22×D5—21no—
878C22×D5—21no—
879C22×D5—21no—
880C22×D5—21no—
881C22×D5—21no—
882C22×D5—21no—
883C22×D5—21no—
884C22×D5—21no—
885C22×D5—21no—
886C22×D5—21no—
887C22×D5—21no—
888C22×D5—21no—
889C22×D5—28no—
890C22×D5—21no—
891C22×D5—21no—
892C22×D5—21no—
893C22×D5—21no—
894C22×D5—21no—
895C22×D5—21no—
896C22×D5—21no—
897C22×D5—44no—
898C22×D5—44no—
899C22×D5—44no—
900C22×D5—44no—
901C22×D5—44no—
902C22×D5—44no—
903C22×D5—44no—
904C22×D5—44no—
905C22×D5—82no—
906C22×D5—82no—
907C22×D5—82no—
908C22×D5—82no—
909C22×D5C22×D412yes—
910C22×D5C2×#4112yes—
911C22×D5C2×#4112yes—
912C22×D5C2×#4112yes—
913C22×D5H(5,𝔽2)12yes—
914C5×D4—44no—
915C5×D4—44no—
916C5×D4—44no—
917C2×C4×C5—21no—
918C2×C4×C5—21no—
919C2×C4×C5—21no—
920C2×C4×C5—21no—
921C2×C4×C5—21no—
922C2×C4×C5—21no—
923C2×C4×C5—21no—
924C2×C4×C5—21no—
925C2×C4×C5—21no—
926C2×C4×C5—21no—
927C2×C4×C5—21no—
928C2×C4×C5—21no—
929C2×C4×C5—21no—
930C2×C4×C5—21no—
931C2×C4×C5—21no—
932C2×C4×C5—21no—
933C2×C4×C5—21no—
934C2×C4×C5—21no—
935C2×C4×C5—21no—
936C2×C4×C5—21no—
937C2×C4×C5—21no—
938C2×C4×C5—21no—
939C2×C4×C5—21no—
940C2×C4×C5—21no—
941C2×C4×C5—21no—
942C2×C4×C5—21no—
943C2×C4×C5—21no—
944C2×C4×C5—21no—
945C2×C4×C5—21no—
946C2×C4×C5—21no—
947C2×C4×C5—21no—
948C2×C4×C5—44no—
949C2×C4×C5—82no—
950C2×C4×C5—82no—
951C2×C4×C5C22×D412yes—
952C2×C4×C5C22×D412yes—
953C22⋊D5—28no—
954C22⋊D5—28no—
955C22⋊D5—28no—
956C22⋊D5—28no—
957C22⋊D5—44no—
958C22⋊D5—44no—
959C22⋊D5—44no—
960C22⋊D5—44no—
961C22⋊D5—44no—
962C22⋊D5—44no—
963C22⋊D5—82no—
964C22⋊D5—82no—
965C2×Dic5—28no—
966C2×Dic5—28no—
967C2×Dic5—21no—
968C2×Dic5—21no—
969C2×Dic5—21no—
970C2×Dic5—21no—
971C2×Dic5—21no—
972C2×Dic5—21no—
973C2×Dic5—21no—
974C2×Dic5—21no—
975C2×Dic5—21no—
976C2×Dic5—21no—
977C2×Dic5—21no—
978C2×Dic5—21no—
979C2×Dic5—21no—
980C2×Dic5—21no—
981C2×Dic5—21no—
982C2×Dic5—21no—
983C2×Dic5—21no—
984C2×Dic5—21no—
985C2×Dic5—21no—
986C2×Dic5—21no—
987C2×Dic5—21no—
988C2×Dic5—21no—
989C2×Dic5—21no—
990C2×Dic5—21no—
991C2×Dic5—21no—
992C2×Dic5—21no—
993C2×Dic5—21no—
994C2×Dic5—21no—
995C2×Dic5—21no—
996C2×Dic5—21no—
997C2×Dic5—21no—
998C2×Dic5—44no—
999C2×Dic5—82no—
1000C2×Dic5C22×D412yes—
1001C2×Dic5C22×D412yes—
1002C2×Dic5C22×D412yes—
1003C2×Dic5C2×#4112yes—
1004C2×Dic5H(5,𝔽2)12yes—
1005D20—44no—
1006D20—44no—
1007D20—44no—
1008D20—82no—
1009C4×D5—44no—
1010C4×D5—44no—
1011C4×D5—44no—
1012C4×D5—44no—
1013C4×D5—44no—
1014C4×D5—44no—
1015C4×D5—82no—
1016C4×D5—82no—
1017C4×D5—82no—
1018C4×D5—82no—
1019Dic10—44no—
1020C25—51no—
1021C25—51no—
1022C25C22×D511yescharacteristic
1023C2×#41—104no—
1024C2×#41—202no—
1025C2×#41—202no—
1026C22×Q8—51no—
1027C22×D4—51no—
1028C22×D4—51no—
1029C22×D4—51no—
1030C22×D4—51no—
1031C22×D4—51no—
1032C22×D4—51no—
1033C22×D4—51no—
1034C22×D4—51no—
1035C22×D4—51no—
1036C22×D4—51no—
1037C22×D4—51no—
1038C22×D4—51no—
1039C22×D4—51no—
1040C22×D4—51no—
1041C22×D4—51no—
1042C22×D4—51no—
1043C22×D4—104no—
1044C22×D4—104no—
1045C22×D4—104no—
1046C22×D4—104no—
1047C22×D4—202no—
1048C22×D4—202no—
1049C22×D4C22×D511yescharacteristic
1050C22×D4C22×D511yescharacteristic
1051C22×D4C22×D511yescharacteristic
1052C23×C4—51no—
1053C23×C4—51no—
1054C23×C4—51no—
1055C23×C4—51no—
1056C23×C4—51no—
1057C23×C4—51no—
1058C23×C4—51no—
1059C23×C4—51no—
1060C23×C4—51no—
1061C23×C4—51no—
1062C23×C4—51no—
1063C23×C4—51no—
1064C23×C4—51no—
1065C23×C4—51no—
1066C23×C4—104no—
1067C23×C4—202no—
1068C23×C4—202no—
1069C23×C4C22×D511yescharacteristic
1070C23×C4C22×D511yescharacteristic
1071C23×C4C22×D511yescharacteristic
1072#123—24no—
1073#123—104no—
1074#123—202no—
1075C22⋊Q8—104no—
1076C22⋊Q8—104no—
1077C22⋊Q8—202no—
1078#121—104no—
1079#121—104no—
1080#121—104no—
1081#121—202no—
1082#121—202no—
1083#121—202no—
1084#120—42no—
1085#120—104no—
1086#120—104no—
1087#120—104no—
1088#120—104no—
1089#120—202no—
1090#120—202no—
1091C4×D4—42no—
1092C4×D4—58no—
1093C4×D4—104no—
1094C4×D4—104no—
1095C4×D4—104no—
1096C4×D4—104no—
1097C4×D4—104no—
1098C4×D4—104no—
1099C4×D4—104no—
1100C4×D4—104no—
1101C4×D4—104no—
1102C4×D4—104no—
1103C4×D4—202no—
1104#117—104no—
1105#117—104no—
1106#117—104no—
1107C2×C4⋊C4—51no—
1108C2×C4⋊C4—51no—
1109C2×C4⋊C4—51no—
1110C2×C4⋊C4—51no—
1111C2×C4⋊C4—51no—
1112C2×C4⋊C4—51no—
1113C2×C4⋊C4—51no—
1114C2×C4⋊C4—51no—
1115C2×C4⋊C4—51no—
1116C2×C4⋊C4—51no—
1117C2×C4⋊C4—51no—
1118C2×C4⋊C4—51no—
1119C2×C4⋊C4—51no—
1120C2×C4⋊C4—51no—
1121C2×C4⋊C4—51no—
1122C2×C4⋊C4C22×D511yescharacteristic
1123C2×C4⋊C4C22×D511yescharacteristic
1124C2×C4⋊C4C22×D511yescharacteristic
1125C2×C4⋊C4C22×D511yescharacteristic
1126C2×C4⋊C4C22×D511yescharacteristic
1127C2×C22⋊C4—24no—
1128C2×C22⋊C4—51no—
1129C2×C22⋊C4—51no—
1130C2×C22⋊C4—51no—
1131C2×C22⋊C4—51no—
1132C2×C22⋊C4—51no—
1133C2×C22⋊C4—51no—
1134C2×C22⋊C4—51no—
1135C2×C22⋊C4—51no—
1136C2×C22⋊C4—51no—
1137C2×C22⋊C4—51no—
1138C2×C22⋊C4—51no—
1139C2×C22⋊C4—51no—
1140C2×C22⋊C4—51no—
1141C2×C22⋊C4—51no—
1142C2×C22⋊C4—51no—
1143C2×C22⋊C4—51no—
1144C2×C22⋊C4—51no—
1145C2×C22⋊C4—51no—
1146C2×C22⋊C4—51no—
1147C2×C22⋊C4—51no—
1148C2×C22⋊C4—51no—
1149C2×C22⋊C4—51no—
1150C2×C22⋊C4—51no—
1151C2×C22⋊C4—51no—
1152C2×C22⋊C4—51no—
1153C2×C22⋊C4—51no—
1154C2×C22⋊C4—51no—
1155C2×C22⋊C4—51no—
1156C2×C22⋊C4—51no—
1157C2×C22⋊C4—51no—
1158C2×C22⋊C4—51no—
1159C2×C22⋊C4—51no—
1160C2×C22⋊C4—51no—
1161C2×C22⋊C4—51no—
1162C2×C22⋊C4—51no—
1163C2×C22⋊C4—51no—
1164C2×C22⋊C4—51no—
1165C2×C22⋊C4—51no—
1166C2×C22⋊C4—51no—
1167C2×C22⋊C4—51no—
1168C2×C22⋊C4—104no—
1169C2×C22⋊C4—104no—
1170C2×C22⋊C4—104no—
1171C2×C22⋊C4—202no—
1172C2×C22⋊C4—202no—
1173C2×C22⋊C4C22×D511yescharacteristic
1174C2×C22⋊C4C22×D511yescharacteristic
1175C2×C22⋊C4C22×D511yescharacteristic
1176C2×C22⋊C4C22×D511yescharacteristic
1177C2×C22⋊C4C22×D511yescharacteristic
1178C2×C22⋊C4C22×D511yescharacteristic
1179C2×C22⋊C4C22×D511yescharacteristic
1180C2×C22⋊C4C22×D511yescharacteristic
1181C2×C22⋊C4C22×D511yescharacteristic
1182C2×C22⋊C4C22×D511yescharacteristic
1183C2×C22⋊C4C22×D511yescharacteristic
1184C2×C22⋊C4C22×D511yescharacteristic
1185C2×C22⋊C4C22×D511yescharacteristic
1186C2×C22⋊C4C22×D511yescharacteristic
1187C2×C22⋊C4C22×D511yescharacteristic
1188C2×C22⋊C4C22×D511yescharacteristic
1189C2×C42—51no—
1190C2×C42—51no—
1191C2×C42—51no—
1192C2×C42—51no—
1193C2×C42—51no—
1194C2×C42—51no—
1195C2×C42C22×D511yescharacteristic
1196#95—51no—
1197#95—51no—
1198#95—51no—
1199#95—51no—
1200#95—51no—
1201#95—51no—
1202#95—51no—
1203#95—51no—
1204#95—51no—
1205#95—51no—
1206#95—51no—
1207#95—51no—
1208#95—51no—
1209#95—51no—
1210#95—51no—
1211#95—51no—
1212#95—51no—
1213#95—51no—
1214#95—51no—
1215#95—51no—
1216#95—51no—
1217#95—51no—
1218#95—51no—
1219#95—51no—
1220#95—51no—
1221#95—51no—
1222#95C22×D511yescharacteristic
1223#95C22×D511yescharacteristic
1224#95C22×D511yescharacteristic
1225#95C22×D511yescharacteristic
1226#95C22×D511yescharacteristic
1227#95C22×D511yescharacteristic
1228C22×C5—22no—
1229C22×C5—22no—
1230C22×C5—22no—
1231C22×C5—22no—
1232C22×C5—22no—
1233C22×C5—22no—
1234C22×C5—22no—
1235C22×C5—22no—
1236C22×C5—22no—
1237C22×C5—22no—
1238C22×C5—22no—
1239C22×C5—22no—
1240C22×C5—41no—
1241C22×C5—41no—
1242C22×C5—41no—
1243C22×C5—41no—
1244C22×C5—41no—
1245C22×C5—41no—
1246C22×C5—41no—
1247C22×C5—41no—
1248C22×C5—41no—
1249C22×C5—41no—
1250C22×C5—41no—
1251C22×C5—41no—
1252C22×C5—41no—
1253C22×C5—41no—
1254C22×C5—41no—
1255C22×C5—41no—
1256C22×C5—88no—
1257C22×C5C23×D411yescharacteristic
1258C22×C5C22×#4111yescharacteristic
1259C22×C5C22×#4111yescharacteristic
1260C22×C5C2×H(5,𝔽2)11yescharacteristic
1261C22×C5C2×H(5,𝔽2)11yescharacteristic
1262C22×C5C2×H(5,𝔽2)11yescharacteristic
1263C22×C5#58511yescharacteristic
1264C2×D5—22no—
1265C2×D5—22no—
1266C2×D5—22no—
1267C2×D5—22no—
1268C2×D5—22no—
1269C2×D5—22no—
1270C2×D5—22no—
1271C2×D5—22no—
1272C2×D5—22no—
1273C2×D5—22no—
1274C2×D5—22no—
1275C2×D5—22no—
1276C2×D5—416no—
1277C2×D5—41no—
1278C2×D5—41no—
1279C2×D5—41no—
1280C2×D5—41no—
1281C2×D5—41no—
1282C2×D5—41no—
1283C2×D5—41no—
1284C2×D5—41no—
1285C2×D5—41no—
1286C2×D5—41no—
1287C2×D5—41no—
1288C2×D5—41no—
1289C2×D5—41no—
1290C2×D5—41no—
1291C2×D5—41no—
1292C2×D5—88no—
1293C2×D5#52514yes—
1294C4×C5—22no—
1295C4×C5—22no—
1296C4×C5—41no—
1297C4×C5—41no—
1298C4×C5—41no—
1299C4×C5—41no—
1300C4×C5—41no—
1301C4×C5—41no—
1302C4×C5—41no—
1303C4×C5—41no—
1304C4×C5—41no—
1305Dic5—22no—
1306Dic5—22no—
1307Dic5—22no—
1308Dic5—22no—
1309Dic5—22no—
1310Dic5—41no—
1311Dic5—41no—
1312Dic5—41no—
1313Dic5—41no—
1314Dic5—41no—
1315Dic5—41no—
1316Dic5—41no—
1317C24—22no—
1318C24—22no—
1319C24—22no—
1320C24—41no—
1321C24—41no—
1322C24—41no—
1323C24—41no—
1324C24—51no—
1325C24—51no—
1326C24—51no—
1327C24—54no—
1328C24—51no—
1329C24—102no—
1330C24—102no—
1331C24—102no—
1332C24—102no—
1333C24—102no—
1334C24—102no—
1335C24—102no—
1336C24—201no—
1337C24—201no—
1338C24—201no—
1339C24—201no—
1340C24—201no—
1341C24—201no—
1342C24C23×D511yescharacteristic
1343C24C23×D511yescharacteristic
1344C24C23×D511yescharacteristic
1345C24C23×D511yescharacteristic
1346#41—2016no—
1347C2×Q8—102no—
1348C2×Q8—102no—
1349C2×Q8—201no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—54no—
1360C2×D4—54no—
1361C2×D4—102no—
1362C2×D4—102no—
1363C2×D4—102no—
1364C2×D4—102no—
1365C2×D4—102no—
1366C2×D4—102no—
1367C2×D4—102no—
1368C2×D4—102no—
1369C2×D4—102no—
1370C2×D4—102no—
1371C2×D4—102no—
1372C2×D4—102no—
1373C2×D4—102no—
1374C2×D4—102no—
1375C2×D4—102no—
1376C2×D4—102no—
1377C2×D4—102no—
1378C2×D4—1032no—
1379C2×D4—102no—
1380C2×D4—102no—
1381C2×D4—102no—
1382C2×D4—102no—
1383C2×D4—102no—
1384C2×D4—102no—
1385C2×D4—102no—
1386C2×D4—102no—
1387C2×D4—102no—
1388C2×D4—102no—
1389C2×D4—102no—
1390C2×D4—102no—
1391C2×D4—102no—
1392C2×D4—102no—
1393C2×D4—102no—
1394C2×D4—201no—
1395C2×D4—201no—
1396C2×D4—201no—
1397C2×D4—201no—
1398C2×D4—201no—
1399C2×D4—201no—
1400C2×D4—201no—
1401C2×D4—201no—
1402C2×D4—201no—
1403C2×D4—201no—
1404C2×D4—201no—
1405C2×D4—201no—
1406C2×D4—201no—
1407C2×D4—201no—
1408C2×D4—2016no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—51no—
1419C22×C4—51no—
1420C22×C4—51no—
1421C22×C4—51no—
1422C22×C4—51no—
1423C22×C4—54no—
1424C22×C4—54no—
1425C22×C4—51no—
1426C22×C4—51no—
1427C22×C4—51no—
1428C22×C4—51no—
1429C22×C4—51no—
1430C22×C4—51no—
1431C22×C4—51no—
1432C22×C4—102no—
1433C22×C4—102no—
1434C22×C4—102no—
1435C22×C4—102no—
1436C22×C4—102no—
1437C22×C4—102no—
1438C22×C4—102no—
1439C22×C4—102no—
1440C22×C4—102no—
1441C22×C4—102no—
1442C22×C4—102no—
1443C22×C4—102no—
1444C22×C4—102no—
1445C22×C4—102no—
1446C22×C4—102no—
1447C22×C4—102no—
1448C22×C4—102no—
1449C22×C4—102no—
1450C22×C4—201no—
1451C22×C4—201no—
1452C22×C4—201no—
1453C22×C4—201no—
1454C22×C4—201no—
1455C22×C4—201no—
1456C22×C4—201no—
1457C22×C4—201no—
1458C22×C4—201no—
1459C22×C4—201no—
1460C22×C4—201no—
1461C22×C4—201no—
1462C22×C4—201no—
1463C22×C4—201no—
1464C22×C4—201no—
1465C22×C4—201no—
1466C22×C4—201no—
1467C22×C4—201no—
1468C22×C4—2016no—
1469C22×C4—201no—
1470C22×C4—201no—
1471C22×C4—201no—
1472C22×C4—201no—
1473C22×C4C23×D511yescharacteristic
1474C22×C4C23×D511yescharacteristic
1475C22×C4C23×D511yescharacteristic
1476C22×C4C23×D511yescharacteristic
1477C22×C4C23×D511yescharacteristic
1478C22×C4C23×D511yescharacteristic
1479C22×C4C23×D511yescharacteristic
1480C22×C4C23×D511yescharacteristic
1481C22×C4C23×D511yescharacteristic
1482C22×C4C23×D511yescharacteristic
1483C22×C4C23×D511yescharacteristic
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—41no—
1487C4⋊C4—41no—
1488C4⋊C4—41no—
1489C4⋊C4—54no—
1490C4⋊C4—102no—
1491C4⋊C4—102no—
1492C4⋊C4—102no—
1493C4⋊C4—102no—
1494C4⋊C4—102no—
1495C4⋊C4—102no—
1496C4⋊C4—102no—
1497C4⋊C4—102no—
1498C4⋊C4—201no—
1499C4⋊C4—201no—
1500C4⋊C4—201no—
1501C4⋊C4—201no—
1502C4⋊C4—201no—
1503C4⋊C4—201no—
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—54no—
1520C22⋊C4—102no—
1521C22⋊C4—102no—
1522C22⋊C4—102no—
1523C22⋊C4—102no—
1524C22⋊C4—102no—
1525C22⋊C4—102no—
1526C22⋊C4—102no—
1527C22⋊C4—102no—
1528C22⋊C4—102no—
1529C22⋊C4—102no—
1530C22⋊C4—102no—
1531C22⋊C4—102no—
1532C22⋊C4—102no—
1533C22⋊C4—102no—
1534C22⋊C4—102no—
1535C22⋊C4—102no—
1536C22⋊C4—102no—
1537C22⋊C4—102no—
1538C22⋊C4—102no—
1539C22⋊C4—102no—
1540C22⋊C4—102no—
1541C22⋊C4—102no—
1542C22⋊C4—102no—
1543C22⋊C4—102no—
1544C22⋊C4—102no—
1545C22⋊C4—201no—
1546C22⋊C4—201no—
1547C22⋊C4—201no—
1548C22⋊C4—201no—
1549C22⋊C4—201no—
1550C22⋊C4—201no—
1551C22⋊C4—201no—
1552C22⋊C4—201no—
1553C22⋊C4—201no—
1554C22⋊C4—201no—
1555C22⋊C4—201no—
1556C22⋊C4—201no—
1557C22⋊C4—201no—
1558C22⋊C4—201no—
1559C22⋊C4D4×D514yescomplemented
1560C42—41no—
1561C42—54no—
1562C42—102no—
1563C42—102no—
1564C42—102no—
1565C42—102no—
1566C42—201no—
1567C2×C5—42no—
1568C2×C5—42no—
1569C2×C5—42no—
1570C2×C5—42no—
1571C2×C5C2×#52511yescharacteristic
1572C2×C5#348411yescharacteristic
1573C2×C5#348811yescharacteristic
1574C2×C5#349011yescharacteristic
1575C2×C5#350511yescharacteristic
1576C2×C5#351311yescharacteristic
1577C2×C5#351911yescharacteristic
1578D5—24no—
1579D5—42no—
1580D5—42no—
1581D5—81no—
1582C23—28no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—52no—
1608C23—52no—
1609C23—52no—
1610C23—52no—
1611C23—52no—
1612C23—82no—
1613C23—82no—
1614C23—82no—
1615C23—82no—
1616C23—82no—
1617C23—82no—
1618C23—108no—
1619C23—108no—
1620C23—101no—
1621C23—101no—
1622C23—101no—
1623C23—101no—
1624C23—101no—
1625C23—101no—
1626C23—101no—
1627C23—101no—
1628C23—101no—
1629C23—101no—
1630C23—101no—
1631C23—101no—
1632C23—101no—
1633C23—101no—
1634C23—101no—
1635C23—101no—
1636C23—101no—
1637C23—101no—
1638C23—101no—
1639C23—101no—
1640C23—101no—
1641C23—101no—
1642C23—101no—
1643C23—204no—
1644C23—204no—
1645C23—204no—
1646C23—204no—
1647C23—204no—
1648C23—204no—
1649C23—204no—
1650C23—204no—
1651C23—402no—
1652C23—402no—
1653C23—402no—
1654C23—402no—
1655C23C2×D4×D512yes—
1656C23#414412yes—
1657C23D5×#4112yes—
1658C23D5×#4112yes—
1659C23C24×D511yescharacteristic
1660Q8—204no—
1661D4—44no—
1662D4—44no—
1663D4—44no—
1664D4—108no—
1665D4—108no—
1666D4—108no—
1667D4—108no—
1668D4—204no—
1669D4—204no—
1670D4—204no—
1671D4—204no—
1672D4—204no—
1673D4—204no—
1674D4—204no—
1675D4—204no—
1676D4—204no—
1677D4—402no—
1678D4—402no—
1679D4—402no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—44no—
1712C2×C4—52no—
1713C2×C4—52no—
1714C2×C4—52no—
1715C2×C4—52no—
1716C2×C4—52no—
1717C2×C4—82no—
1718C2×C4—82no—
1719C2×C4—108no—
1720C2×C4—108no—
1721C2×C4—101no—
1722C2×C4—101no—
1723C2×C4—101no—
1724C2×C4—101no—
1725C2×C4—101no—
1726C2×C4—101no—
1727C2×C4—101no—
1728C2×C4—101no—
1729C2×C4—101no—
1730C2×C4—101no—
1731C2×C4—101no—
1732C2×C4—101no—
1733C2×C4—101no—
1734C2×C4—101no—
1735C2×C4—101no—
1736C2×C4—101no—
1737C2×C4—101no—
1738C2×C4—101no—
1739C2×C4—101no—
1740C2×C4—101no—
1741C2×C4—101no—
1742C2×C4—101no—
1743C2×C4—101no—
1744C2×C4—101no—
1745C2×C4—101no—
1746C2×C4—101no—
1747C2×C4—101no—
1748C2×C4—101no—
1749C2×C4—101no—
1750C2×C4—101no—
1751C2×C4—101no—
1752C2×C4—204no—
1753C2×C4—204no—
1754C2×C4—204no—
1755C2×C4—204no—
1756C2×C4—204no—
1757C2×C4—204no—
1758C2×C4—204no—
1759C2×C4—402no—
1760C2×C4—402no—
1761C2×C4—402no—
1762C2×C4—402no—
1763C2×C4—402no—
1764C2×C4C2×D4×D512yes—
1765C2×C4C2×D4×D512yes—
1766C5#3535211yescharacteristic, complemented, Sylow
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—54no—
1796C22—88no—
1797C22—102no—
1798C22—102no—
1799C22—102no—
1800C22—102no—
1801C22—102no—
1802C22—102no—
1803C22—102no—
1804C22—102no—
1805C22—102no—
1806C22—102no—
1807C22—102no—
1808C22—102no—
1809C22—2016no—
1810C22—201no—
1811C22—201no—
1812C22—201no—
1813C22—201no—
1814C22—201no—
1815C22—201no—
1816C22—201no—
1817C22—201no—
1818C22—201no—
1819C22—201no—
1820C22—201no—
1821C22—201no—
1822C22—201no—
1823C22—201no—
1824C22—201no—
1825C22—408no—
1826C22C22×D4×D511yescharacteristic
1827C22C2×#414411yescharacteristic
1828C22C2×D5×#4111yescharacteristic
1829C22C2×D5×#4111yescharacteristic
1830C22#6628311yescharacteristic
1831C22D5×H(5,𝔽2)11yescharacteristic
1832C22D5×H(5,𝔽2)11yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—102no—
1845C4—102no—
1846C4—102no—
1847C4—102no—
1848C4—102no—
1849C4—201no—
1850C4—201no—
1851C4—201no—
1852C4—201no—
1853C4—201no—
1854C4—201no—
1855C4—201no—
1856C2—42no—
1857C2—42no—
1858C2—42no—
1859C2—42no—
1860C2—104no—
1861C2—202no—
1862C2—202no—
1863C2—401no—
1864C2#1061791411yescharacteristic
1865C2D5×#52511yescharacteristic
1866C2#1061831811yescharacteristic
1867C2#1061852111yescharacteristic
1868C2#1061853011yescharacteristic
1869C2#1061856511yescharacteristic
1870C2#1061871811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2418C2
hypercenter#2418D5
hypocenterC5#35352
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C2×#65990C2semidirect
2. C2×#65820C2semidirect
3. C5×#2418C2semidirect
4. #10614581C2semidirect
5. #10614335C2semidirect
6. #10614312C2semidirect
7. C4×#4083C2semidirect
8. #10614095C2semidirect
9. #10613840C2semidirect
10. #10609833C2semidirect
11. #10609775C2semidirect
12. #10609405C2semidirect
13. #10609265C2semidirect
14. #10608843C2semidirect
15. #10608839C2semidirect
16. #10608699C2semidirect
17. #10608625C2semidirect
18. #10607596C2semidirect
19. #10607589C2semidirect
20. #10607557C2semidirect
21. #10607188C2semidirect
22. #10606625C2semidirect
23. D5×#386C2semidirect
24. #10606507C2semidirect
25. #10606455C2semidirect
26. #10606344C2semidirect
27. #10606325C2semidirect
28. #10605754C2semidirect
29. #10605664C2semidirect
30. #10605585C2semidirect
31. #10605565C2semidirect
33. C22×#711C22semidirect
35. C23×C4×D5C22semidirect
36. C2×C5×#123C22semidirect
38. C2×C4×C5×D4C22semidirect
39. C22×C5×C22⋊C4C22semidirect
41. C2×#4099C22semidirect
42. C22×C22⋊Dic5C22semidirect
45. C2×#4076C22semidirect
46. C2×#4075C22semidirect
49. C2×C4×C22⋊D5C22semidirect
50. C2×C4×C22⋊D5C22semidirect
51. C2×C4×C22⋊D5C22semidirect
53. C2×#4042C22semidirect
54. C2×#4042C22semidirect
55. C2×#4042C22semidirect
56. C2×#4041C22semidirect
57. C2×#4039C22semidirect
58. C2×#4039C22semidirect
59. C2×#4032C22semidirect
62. C2×#4030C22semidirect
63. C2×#4030C22semidirect
65. C2×#4028C22semidirect
69. C2×#4027C22semidirect
70. C2×#4027C22semidirect
71. C2×#4027C22semidirect
75. C2×D5×C22⋊C4C22semidirect
76. C2×#4023C22semidirect
77. C2×#4023C22semidirect
78. C2×#4023C22semidirect
79. C5×#399C22semidirect
80. C5×#397C22semidirect
82. C5×#394C22semidirect
83. C5×#388C22semidirect
84. C5×#388C22semidirect
86. C5×#386C22semidirect
87. C5×#385C22semidirect
88. C5×#380C22semidirect
89. C5×#379C22semidirect
93. #65512C22semidirect
96. #65509C22semidirect
97. #65509C22semidirect
98. #65502C22semidirect
99. #65502C22semidirect
100. #65499C22semidirect
101. C4×C22⋊Dic5C22semidirect
102. #65279C22semidirect
103. #65279C22semidirect
104. #65279C22semidirect
105. #65278C22semidirect
106. #65278C22semidirect
107. #65278C22semidirect
108. #65278C22semidirect
109. #65278C22semidirect
110. #65276C22semidirect
111. #65276C22semidirect
112. #65272C22semidirect
113. #65271C22semidirect
114. #65267C22semidirect
115. #65266C22semidirect
119. #65249C22semidirect
120. #65249C22semidirect
122. #65248C22semidirect
123. #65248C22semidirect
124. #65248C22semidirect
125. #65248C22semidirect
126. #65248C22semidirect
128. #65247C22semidirect
129. #65247C22semidirect
130. #65247C22semidirect
131. #65246C22semidirect
132. #65246C22semidirect
139. #65245C22semidirect
140. #65245C22semidirect
141. #65245C22semidirect
142. #65245C22semidirect
144. #65244C22semidirect
145. #65240C22semidirect
146. #65240C22semidirect
147. #65240C22semidirect
148. #65240C22semidirect
149. #65238C22semidirect
150. #65237C22semidirect
151. #65237C22semidirect
152. #65237C22semidirect
153. #65237C22semidirect
154. #65236C22semidirect
155. #65236C22semidirect
156. #65235C22semidirect
157. #65235C22semidirect
158. #65232C22semidirect
159. #65232C22semidirect
160. #65231C22semidirect
161. #65228C22semidirect
162. C4×#685C22semidirect
163. C4×#685C22semidirect
164. #65222C22semidirect
165. #64964C22semidirect
166. #64964C22semidirect
167. #64961C22semidirect
168. #64959C22semidirect
169. #64958C22semidirect
170. #64958C22semidirect
171. #64957C22semidirect
172. #64957C22semidirect
173. #64957C22semidirect
174. #64954C22semidirect
175. #64954C22semidirect
176. #64954C22semidirect
177. #64954C22semidirect
178. #64954C22semidirect
179. #64954C22semidirect
180. D5×#95C22semidirect
181. D5×#95C22semidirect
182. #64947C22semidirect
183. #64941C22semidirect
184. #64941C22semidirect
185. #64941C22semidirect
186. #64941C22semidirect
187. #64940C22semidirect
188. #64935C22semidirect
358. #4027D4semidirect
418. #2418D5semidirect
453. C23×D5#41semidirect
523. C2×C22⋊D5#41semidirect
535. C22×Dic5C2×D4semidirect
616. C5×C22⋊C4C2×D4semidirect
672. #683C2×D4semidirect
678. C4×Dic5C2×D4semidirect
686. C2×#123C2×D5semidirect
716. C2×C4×D4C2×D5semidirect
725. C22×C22⋊C4C2×D5semidirect
729. #399C2×D5semidirect
733. #397C2×D5semidirect
746. #394C2×D5semidirect
772. #388C2×D5semidirect
773. #388C2×D5semidirect
807. #386C2×D5semidirect
819. #385C2×D5semidirect
827. #380C2×D5semidirect
830. #379C2×D5semidirect
1559. C22⋊C4D4×D5semidirect
1766. C5#35352semidirect

Maximal subgroups

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

subgroupindex
C2×#659902
C2×#658202
C5×#24182
#106145812
#106143352
#106143122
C4×#40832
#106140952
#106138402
#106098332
#106097752
#106094052
#106092652
#106088432
#106088392
#106086992
#106086252
#106075962
#106075892
#106075572
#106071882
#106066252
D5×#3862
#106065072
#106064552
#106063442
#106063252
#106057542
#106056642
#106055852
#106055652
#353525