Finite Group Databasebeta

← #12271971

Subgroups — #12271971

Order 1280.

3146 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×#65947C211yesmaximal, characteristic, complemented
2C2×C4×D4×D5C211yesmaximal, characteristic, complemented
3C5×#2635C211yesmaximal, characteristic, complemented
4#10614454C211yesmaximal, characteristic, complemented
5#10614151C211yesmaximal, characteristic, complemented
6#10610075C211yesmaximal, characteristic, complemented
7#10609876C211yesmaximal, characteristic, complemented
8#10609833C211yesmaximal, characteristic, complemented
9#10609756C211yesmaximal, characteristic, complemented
10#10608849C211yesmaximal, characteristic, complemented
11#10608848C211yesmaximal, characteristic, complemented
12#10608845C211yesmaximal, characteristic, complemented
13#10608844C211yesmaximal, characteristic, complemented
14#10608843C211yesmaximal, characteristic, complemented
15#10608657C211yesmaximal, characteristic, complemented
16#10608486C211yesmaximal, characteristic, complemented
17#10608486C211yesmaximal, characteristic, complemented
18#10608484C211yesmaximal, characteristic, complemented
19#10608410C211yesmaximal, characteristic, complemented
20#10608407C211yesmaximal, characteristic, complemented
21#10608406C211yesmaximal, characteristic, complemented
22#10607689C211yesmaximal, characteristic, complemented
23#10607688C211yesmaximal, characteristic, complemented
24#10607560C211yesmaximal, characteristic, complemented
25#10607558C211yesmaximal, characteristic, complemented
26D5×#386C211yesmaximal, characteristic, complemented
27#10606515C211yesmaximal, characteristic, complemented
28#10606514C211yesmaximal, characteristic, complemented
29#10606390C211yesmaximal, characteristic, complemented
30#10605877C211yesmaximal, characteristic, complemented
31#10605851C211yesmaximal, characteristic, complemented
32C22×D4×D5C2211yescharacteristic
33C22×D4×D5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C23×C4×D5C2211yescharacteristic, complemented
36C2×C5×#121C2211yescharacteristic, complemented
37C2×C4×C5×D4C2211yescharacteristic, complemented
38C2×#4085C2211yescharacteristic, complemented
39C2×#4084C2211yescharacteristic
40C2×#4084C2211yescharacteristic
41C2×#4084C2211yescharacteristic, complemented
42C2×#4083C2211yescharacteristic
43C2×#4083C2211yescharacteristic
44C2×#4083C2211yescharacteristic
45C2×#4083C2211yescharacteristic, complemented
46C2×#4083C2211yescharacteristic, complemented
47C2×#4082C2211yescharacteristic, complemented
48C2×#4081C2211yescharacteristic, complemented
49C2×D4×Dic5C2211yescharacteristic, complemented
50C2×D4×Dic5C2211yescharacteristic, complemented
51C2×#4075C2211yescharacteristic, complemented
52C2×C4×C22⋊D5C2211yescharacteristic
53C2×C4×C22⋊D5C2211yescharacteristic, complemented
54#65947—28no—
55C4×D4×D5—28no—
56C2×#4044C2211yescharacteristic, complemented
57C2×#4042C2211yescharacteristic, complemented
58C2×#4042C2211yescharacteristic, complemented
59C2×#4039C2211yescharacteristic
60C2×D5×C4⋊C4C2211yescharacteristic, complemented
61C2×#4032C2211yescharacteristic, complemented
62C2×#4031C2211yescharacteristic, complemented
63C2×#4030C2211yescharacteristic
64C2×#4030C2211yescharacteristic
65C2×#4028C2211yescharacteristic
66C2×#4028C2211yescharacteristic
67C2×#4027C2211yescharacteristic
68C2×#4027C2211yescharacteristic, complemented
69C2×#4027C2211yescharacteristic, complemented
70C2×#4027C2211yescharacteristic, complemented
71C2×D5×C22⋊C4C2211yescharacteristic
72C2×D5×C22⋊C4C2211yescharacteristic
73C2×D5×C22⋊C4C2211yescharacteristic, complemented
74C2×D5×C22⋊C4C2211yescharacteristic, complemented
75C2×D5×C22⋊C4C2211yescharacteristic, complemented
76C2×#4025C2211yescharacteristic, complemented
77C2×C4×D20C2211yescharacteristic
78C2×C42×D5C2211yescharacteristic, complemented
79C5×#400C2211yescharacteristic, complemented
80C5×#399C2211yescharacteristic, complemented
81C5×#394C2211yescharacteristic, complemented
82C5×#394C2211yescharacteristic, complemented
83C5×#394C2211yescharacteristic, complemented
84C5×#392C2211yescharacteristic
85C5×#392C2211yescharacteristic, complemented
86C5×#392C2211yescharacteristic, complemented
87C5×#388C2211yescharacteristic, complemented
88C5×#388C2211yescharacteristic, complemented
89C5×#386C2211yescharacteristic, complemented
90C5×#386C2211yescharacteristic, complemented
91C5×#381C2211yescharacteristic, complemented
92#65512C2211yescharacteristic
93#65512C2211yescharacteristic
94#65512C2211yescharacteristic, complemented
95#65512C2211yescharacteristic, complemented
96#65511C2211yescharacteristic, complemented
97#65511C2211yescharacteristic, complemented
98#65509C2211yescharacteristic, complemented
99#65509C2211yescharacteristic, complemented
100#65509C2211yescharacteristic, complemented
101#65502C2211yescharacteristic, complemented
102#65501C2211yescharacteristic, complemented
103#65499C2211yescharacteristic, complemented
104#65283C2211yescharacteristic, complemented
105#65279C2211yescharacteristic, complemented
106#65279C2211yescharacteristic, complemented
107#65278C2211yescharacteristic, complemented
108#65278C2211yescharacteristic, complemented
109#65277C2211yescharacteristic, complemented
110#65276C2211yescharacteristic, complemented
111#65276C2211yescharacteristic, complemented
112#65276C2211yescharacteristic, complemented
113#65273C2211yescharacteristic, complemented
114#65270C2211yescharacteristic, complemented
115#65250C2211yescharacteristic, complemented
116#65250C2211yescharacteristic, complemented
117#65249C2211yescharacteristic
118#65249C2211yescharacteristic, complemented
119#65248C2211yescharacteristic, complemented
120#65248C2211yescharacteristic, complemented
121#65247C2211yescharacteristic, complemented
122#65247C2211yescharacteristic, complemented
123#65246C2211yescharacteristic, complemented
124#65246C2211yescharacteristic, complemented
125#65245C2211yescharacteristic
126#65245C2211yescharacteristic
127#65245C2211yescharacteristic
128#65245C2211yescharacteristic
129#65245C2211yescharacteristic
130#65245C2211yescharacteristic
131#65245C2211yescharacteristic, complemented
132#65245C2211yescharacteristic, complemented
133#65245C2211yescharacteristic, complemented
134#65245C2211yescharacteristic, complemented
135#65245C2211yescharacteristic, complemented
136#65245C2211yescharacteristic, complemented
137#65244C2211yescharacteristic
138#65244C2211yescharacteristic, complemented
139#65244C2211yescharacteristic, complemented
140#65241C2211yescharacteristic, complemented
141#65241C2211yescharacteristic, complemented
142#65240C2211yescharacteristic, complemented
143#65240C2211yescharacteristic, complemented
144#65239C2211yescharacteristic, complemented
145#65238C2211yescharacteristic, complemented
146#65237C2211yescharacteristic, complemented
147#65237C2211yescharacteristic, complemented
148#65236C2211yescharacteristic, complemented
149#65234C2211yescharacteristic, complemented
150#65234C2211yescharacteristic, complemented
151#65233C2211yescharacteristic, complemented
152#65233C2211yescharacteristic, complemented
153#65232C2211yescharacteristic, complemented
154C22⋊C4×Dic5C2211yescharacteristic, complemented
155#65229C2211yescharacteristic, complemented
156#65222C2211yescharacteristic, complemented
157#64965C2211yescharacteristic, complemented
158#64964C2211yescharacteristic, complemented
159#64962C2211yescharacteristic, complemented
160#64959C2211yescharacteristic, complemented
161#64957C2211yescharacteristic, complemented
162#64957C2211yescharacteristic, complemented
163#64957C2211yescharacteristic, complemented
164#64957C2211yescharacteristic, complemented
165#64957C2211yescharacteristic, complemented
166#64957C2211yescharacteristic, complemented
167#64957C2211yescharacteristic, complemented
168#64957C2211yescharacteristic, complemented
169#64955C2211yescharacteristic, complemented
170#64955C2211yescharacteristic, complemented
171#64954C2211yescharacteristic
172#64954C2211yescharacteristic
173#64954C2211yescharacteristic
174#64954C2211yescharacteristic
175#64954C2211yescharacteristic
176#64954C2211yescharacteristic
177#64954C2211yescharacteristic, complemented
178#64954C2211yescharacteristic, complemented
179D5×#95C2211yescharacteristic, complemented
180D5×#95C2211yescharacteristic, complemented
181#64949C2211yescharacteristic, complemented
182#64944C2211yescharacteristic, complemented
183#64944C2211yescharacteristic, complemented
184#64944C2211yescharacteristic, complemented
185#64943C2211yescharacteristic, complemented
186#64940C2211yescharacteristic, complemented
187#64939C2211yescharacteristic, complemented
188#64935C2211yescharacteristic, complemented
189#34990—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C24×D5C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C22×C5×D4C2311yescharacteristic
197C22×C5×D4C2311yescharacteristic
198C22×C5×D4C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
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
211C23×Dic5C2311yescharacteristic
212C23×Dic5C2311yescharacteristic
213C23×Dic5C2311yescharacteristic
214C2×D4×D5—24no—
215C2×D4×D5—24no—
216C2×D4×D5—24no—
217C2×D4×D5—24no—
218C2×D4×D5—42no—
219C2×D4×D5—42no—
220C22×D20C2311yescharacteristic
221C22×D20C2311yescharacteristic
222C22×D20C2311yescharacteristic
223C22×C4×D5—24no—
224C22×C4×D5—24no—
225C22×C4×D5—42no—
226C22×C4×D5—42no—
227C22×C4×D5—42no—
228C22×C4×D5—42no—
229C22×C4×D5C2311yescharacteristic
230C22×C4×D5C2311yescharacteristic
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×#121—24no—
243C4×C5×D4—24no—
244C2×C5×C4⋊C4C2311yescharacteristic
245C2×C5×C4⋊C4C2311yescharacteristic
246C2×C5×C4⋊C4C2311yescharacteristic
247C2×C5×C4⋊C4C2311yescharacteristic
248C2×C5×C22⋊C4C2311yescharacteristic
249C2×C5×C22⋊C4C2311yescharacteristic
250C2×C5×C22⋊C4C2311yescharacteristic
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×C42×C5C2311yescharacteristic
263C2×C22⋊Dic5C2311yescharacteristic
264C2×C22⋊Dic5C2311yescharacteristic
265C2×C22⋊Dic5C2311yescharacteristic
266C2×C22⋊Dic5C2311yescharacteristic
267C2×C22⋊Dic5C2311yescharacteristic
268C2×C22⋊Dic5C2311yescharacteristic
269C2×C22⋊Dic5C2311yescharacteristic
270C2×C22⋊Dic5C2311yescharacteristic
271C2×C22⋊Dic5C2311yescharacteristic
272C2×C22⋊Dic5C2311yescharacteristic
273C2×C22⋊Dic5C2311yescharacteristic
274C2×C22⋊Dic5C2311yescharacteristic
275C2×C22⋊Dic5C2311yescharacteristic
276C2×C22⋊Dic5C2311yescharacteristic
277C2×C22⋊Dic5C2311yescharacteristic
278C2×C22⋊Dic5C2311yescharacteristic
279#4085—24no—
280#4084—24no—
281#4084—42no—
282#4084—42no—
283#4083—24no—
284#4083—24no—
285#4083—24no—
286#4083—42no—
287#4083—42no—
288#4082—24no—
289#4081—24no—
290D4×Dic5—24no—
291D4×Dic5—42no—
292#4075—24no—
293C4×C22⋊D5—24no—
294C4×C22⋊D5D418yescomplemented
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×#685C2311yescharacteristic
321C2×C4⋊Dic5C2311yescharacteristic
322C2×C4⋊Dic5C2311yescharacteristic
323C2×C4⋊Dic5C2311yescharacteristic
324C2×C4⋊Dic5C2311yescharacteristic
325C2×C4⋊Dic5C2311yescharacteristic
326C2×C4⋊Dic5C2311yescharacteristic
327C2×#683C2311yescharacteristic
328C2×#683C2311yescharacteristic
329C2×#683C2311yescharacteristic
330C2×#683C2311yescharacteristic
331C2×#683C2311yescharacteristic
332C2×#683C2311yescharacteristic
333C2×#683C2311yescharacteristic
334C2×#683C2311yescharacteristic
335C2×#683C2311yescharacteristic
336C2×#683C2311yescharacteristic
337C2×C4×Dic5C2311yescharacteristic
338C2×C4×Dic5C2311yescharacteristic
339C2×C4×Dic5C2311yescharacteristic
340C2×C4×Dic5C2311yescharacteristic
341C2×C4×Dic5C2311yescharacteristic
342C2×C4×Dic5C2311yescharacteristic
343#4044—24no—
344#4042—24no—
345#4042—42no—
346#4039—24no—
347D5×C4⋊C4—24no—
348#4032—42no—
349#4031—24no—
350#4030—24no—
351#4030—42no—
352#4028—24no—
353#4028—42no—
354#4027—24no—
355#4027—24no—
356#4027—24no—
357#4027—42no—
358D5×C22⋊C4—24no—
359D5×C22⋊C4—24no—
360D5×C22⋊C4—24no—
361D5×C22⋊C4—42no—
362D5×C22⋊C4—42no—
363#4025—24no—
364C4×D20—24no—
365C42×D5—24no—
366C5×#95C2311yescharacteristic
367C5×#95C2311yescharacteristic
368C5×#95C2311yescharacteristic
369C5×#95C2311yescharacteristic
370C5×#95C2311yescharacteristic
371C5×#95C2311yescharacteristic
372C5×#95C2311yescharacteristic
373C5×#95C2311yescharacteristic
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×#538—51no—
399C22×C4×D4—51no—
400#2852—51no—
401#2850—51no—
402#2849—51no—
403#2847—51no—
404#2636—51no—
405#2635D511yescharacteristic, complemented
406#2631—51no—
407#2630—51no—
408#2481—51no—
409#2472—51no—
410#2467—51no—
411#2459—51no—
412#2456—51no—
413#2456—51no—
414#2450—51no—
415#2444—51no—
416#2443—51no—
417#2437—51no—
418#2424—51no—
419#2424—51no—
420#2418—51no—
421#2410—51no—
422#2410—51no—
423#2403—51no—
424#2325—51no—
425#2321—51no—
426#2318—51no—
427C4×#120—51no—
428C2×#386—51no—
429C24×C5C2411yescharacteristic
430C24×C5C2411yescharacteristic
431C24×C5C2411yescharacteristic
432C24×C5C2411yescharacteristic
433C23×D5—22no—
434C23×D5—22no—
435C23×D5—22no—
436C23×D5—22no—
437C23×D5—22no—
438C23×D5—22no—
439C23×D5—22no—
440C23×D5—22no—
441C23×D5—22no—
442C23×D5—22no—
443C23×D5—22no—
444C23×D5—22no—
445C23×D5—41no—
446C23×D5—41no—
447C23×D5—41no—
448C23×D5—41no—
449C23×D5—41no—
450C23×D5—41no—
451C23×D5—41no—
452C23×D5—41no—
453C23×D5#4114yes—
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—22no—
465C2×C5×D4—22no—
466C2×C5×D4—41no—
467C2×C5×D4—41no—
468C2×C5×D4—41no—
469C2×C5×D4—41no—
470C2×C5×D4—41no—
471C2×C5×D4—41no—
472C2×C5×D4—41no—
473C2×C5×D4—41no—
474C2×C5×D4—41no—
475C2×C5×D4—41no—
476C22×C4×C5—22no—
477C22×C4×C5—41no—
478C22×C4×C5—41no—
479C22×C4×C5—41no—
480C22×C4×C5—41no—
481C22×C4×C5C2×D414yescomplemented
482C22×C4×C5C2411yescharacteristic
483C22×C4×C5C2411yescharacteristic
484C22×C4×C5C2411yescharacteristic
485C22×C4×C5C2411yescharacteristic
486C22×C4×C5C2411yescharacteristic
487C22×C4×C5C2411yescharacteristic
488C22×C4×C5C2411yescharacteristic
489C22×C4×C5C2411yescharacteristic
490C22×C4×C5C2411yescharacteristic
491C22×C4×C5C2411yescharacteristic
492C22×C4×C5C2411yescharacteristic
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—
523C22×Dic5—22no—
524C22×Dic5—22no—
525C22×Dic5—22no—
526C22×Dic5—22no—
527C22×Dic5—22no—
528C22×Dic5—41no—
529C22×Dic5—41no—
530C22×Dic5—41no—
531C22×Dic5—41no—
532C22×Dic5C2411yescharacteristic
533C22×Dic5C2411yescharacteristic
534C22×Dic5C2411yescharacteristic
535C22×Dic5C2411yescharacteristic
536C22×Dic5C2411yescharacteristic
537C22×Dic5C2411yescharacteristic
538C22×Dic5C2411yescharacteristic
539C22×Dic5C2411yescharacteristic
540C22×Dic5C2411yescharacteristic
541C22×Dic5C2411yescharacteristic
542C22×Dic5C2411yescharacteristic
543C22×Dic5C2411yescharacteristic
544D4×D5—232no—
545D4×D5—416no—
546C2×D20—22no—
547C2×D20—22no—
548C2×D20—22no—
549C2×D20—22no—
550C2×D20—22no—
551C2×D20—22no—
552C2×D20—41no—
553C2×D20—41no—
554C2×D20#4114yes—
555C2×C4×D5—22no—
556C2×C4×D5—22no—
557C2×C4×D5—22no—
558C2×C4×D5—22no—
559C2×C4×D5—22no—
560C2×C4×D5—22no—
561C2×C4×D5—22no—
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—22no—
574C2×C4×D5—22no—
575C2×C4×D5—416no—
576C2×C4×D5—416no—
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—41no—
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—41no—
595C2×Dic10—41no—
596C5×C4⋊C4—22no—
597C5×C4⋊C4—22no—
598C5×C4⋊C4—41no—
599C5×C4⋊C4—41no—
600C5×C22⋊C4—22no—
601C5×C22⋊C4—22no—
602C5×C22⋊C4—22no—
603C5×C22⋊C4—22no—
604C5×C22⋊C4—22no—
605C5×C22⋊C4—22no—
606C5×C22⋊C4—41no—
607C5×C22⋊C4—41no—
608C5×C22⋊C4—41no—
609C5×C22⋊C4—41no—
610C5×C22⋊C4—41no—
611C5×C22⋊C4—41no—
612C5×C22⋊C4—41no—
613C5×C22⋊C4—41no—
614C42×C5—22no—
615C22⋊Dic5—22no—
616C22⋊Dic5—22no—
617C22⋊Dic5—22no—
618C22⋊Dic5—22no—
619C22⋊Dic5—22no—
620C22⋊Dic5—22no—
621C22⋊Dic5—22no—
622C22⋊Dic5—22no—
623C22⋊Dic5—22no—
624C22⋊Dic5—41no—
625C22⋊Dic5—41no—
626C22⋊Dic5—41no—
627C22⋊Dic5—41no—
628C22⋊Dic5—41no—
629C22⋊Dic5—41no—
630C22⋊Dic5C2×D414yescomplemented
631#685—22no—
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#685C2×D414yes—
657C4⋊Dic5—22no—
658C4⋊Dic5—22no—
659C4⋊Dic5—22no—
660C4⋊Dic5—41no—
661C4⋊Dic5—41no—
662C4⋊Dic5—41no—
663#683—22no—
664#683—22no—
665#683—22no—
666#683—22no—
667#683—22no—
668#683—41no—
669#683—41no—
670#683—41no—
671#683—41no—
672#683C2×D414yescomplemented
673C4×Dic5—22no—
674C4×Dic5—22no—
675C4×Dic5—22no—
676C4×Dic5—41no—
677C4×Dic5—41no—
678C4×Dic5C2×D414yescomplemented
679C23×D4—51no—
680C23×D4—51no—
681C24×C4—51no—
682C24×C4—51no—
683#538—108no—
684C2×#126—51no—
685C2×#126—51no—
686C2×#124—51no—
687C2×#124—51no—
688C2×#123—51no—
689C2×#123—51no—
690C2×#123—51no—
691C2×C22⋊Q8—51no—
692C2×C22⋊Q8—51no—
693C2×#121—51no—
694C2×#121—51no—
695C2×#121—51no—
696C2×#121—51no—
697C2×#121—51no—
698C2×#121—51no—
699C2×#121C2×D511yescharacteristic, complemented
700C2×#120—51no—
701C2×#120—51no—
702C2×#120—51no—
703C2×#120—51no—
704C2×#120—51no—
705C2×#120—51no—
706C2×#120—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×D4—51no—
717C2×C4×D4—108no—
718C2×C4×D4C2×D511yescharacteristic, complemented
719C22×C4⋊C4—51no—
720C22×C22⋊C4—51no—
721C22×C22⋊C4—51no—
722C22×C22⋊C4—51no—
723C22×C22⋊C4—51no—
724C22×C22⋊C4—51no—
725C22×C42—51no—
726#400—51no—
727#400C2×D511yescharacteristic, complemented
728#399—51no—
729#399C2×D511yescharacteristic, complemented
730#398—51no—
731#397—51no—
732#397—51no—
733#397—51no—
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#394C2×D511yescharacteristic, complemented
745#394C2×D511yescharacteristic, complemented
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#392C2×D511yescharacteristic
756#392C2×D511yescharacteristic, complemented
757#392C2×D511yescharacteristic, complemented
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, complemented
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#385—51no—
820#383—51no—
821#382—51no—
822#381—51no—
823#381C2×D511yescharacteristic, complemented
824#380—51no—
825#380—51no—
826#380—51no—
827#380—51no—
828#379—51no—
829#379—51no—
830#379—51no—
831C4×C22⋊C4—51no—
832C4×C22⋊C4—51no—
833C4×C22⋊C4—51no—
834C2×#95—51no—
835C2×#95—51no—
836C23×C5—21no—
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—21no—
862C23×C5C22×D412yes—
863C23×C5C2×#4112yes—
864C23×C5C2511yescharacteristic
865C22×D5—21no—
866C22×D5—21no—
867C22×D5—21no—
868C22×D5—21no—
869C22×D5—21no—
870C22×D5—21no—
871C22×D5—21no—
872C22×D5—21no—
873C22×D5—28no—
874C22×D5—21no—
875C22×D5—21no—
876C22×D5—21no—
877C22×D5—21no—
878C22×D5—21no—
879C22×D5—21no—
880C22×D5—28no—
881C22×D5—28no—
882C22×D5—21no—
883C22×D5—21no—
884C22×D5—21no—
885C22×D5—21no—
886C22×D5—21no—
887C22×D5—21no—
888C22×D5—21no—
889C22×D5—44no—
890C22×D5—44no—
891C22×D5—44no—
892C22×D5—44no—
893C22×D5—44no—
894C22×D5—44no—
895C22×D5—44no—
896C22×D5—44no—
897C22×D5—44no—
898C22×D5—44no—
899C22×D5—44no—
900C22×D5—44no—
901C22×D5—44no—
902C22×D5—44no—
903C22×D5—82no—
904C22×D5—82no—
905C22×D5—82no—
906C22×D5—82no—
907C22×D5C22×D412yes—
908C22×D5C2×#4112yes—
909C22×D5C2×#4112yes—
910C22×D5C2×#4112yes—
911C22×D5C2×#4112yes—
912C22×D5H(5,𝔽2)12yes—
913C22×D5H(5,𝔽2)12yes—
914C5×D4—28no—
915C5×D4—44no—
916C5×D4—44no—
917C5×D4—82no—
918C5×D4—82no—
919C5×D4—82no—
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—21no—
949C2×C4×C5—21no—
950C2×C4×C5—44no—
951C2×C4×C5—44no—
952C2×C4×C5C22×D412yes—
953C2×C4×C5C22×D412yes—
954C2×C4×C5C2×#4112yes—
955C22⋊D5—28no—
956C22⋊D5—28no—
957C22⋊D5—44no—
958C22⋊D5—44no—
959C22⋊D5—44no—
960C22⋊D5—44no—
961C22⋊D5—82no—
962C22⋊D5—82no—
963C22⋊D5—82no—
964C22⋊D5—82no—
965C2×Dic5—21no—
966C2×Dic5—21no—
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—44no—
998C2×Dic5—44no—
999C2×Dic5—82no—
1000C2×Dic5C22×D412yes—
1001C2×Dic5C22×D412yes—
1002C2×Dic5C22×D412yes—
1003C2×Dic5H(5,𝔽2)12yes—
1004D20—28no—
1005D20—44no—
1006D20—82no—
1007C4×D5—28no—
1008C4×D5—28no—
1009C4×D5—44no—
1010C4×D5—44no—
1011C4×D5—44no—
1012C4×D5—44no—
1013C4×D5—44no—
1014C4×D5—44no—
1015C4×D5—44no—
1016C4×D5—44no—
1017C4×D5—82no—
1018C4×D5—82no—
1019Dic10—82no—
1020C25—51no—
1021C25—51no—
1022C25—51no—
1023C22×Q8—51no—
1024C22×D4—51no—
1025C22×D4—51no—
1026C22×D4—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—104no—
1038C22×D4—104no—
1039C22×D4—104no—
1040C22×D4—104no—
1041C22×D4—202no—
1042C22×D4—202no—
1043C22×D4C22×D511yescharacteristic
1044C22×D4C22×D511yescharacteristic
1045C22×D4C22×D511yescharacteristic
1046C22×D4C22×D511yescharacteristic
1047C22×D4C22×D511yescharacteristic
1048C22×D4C22×D511yescharacteristic
1049C23×C4—51no—
1050C23×C4—51no—
1051C23×C4—51no—
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—104no—
1065C23×C4—104no—
1066C23×C4—202no—
1067C23×C4—202no—
1068C23×C4—202no—
1069C23×C4—202no—
1070C23×C4C22×D511yescharacteristic
1071C23×C4C22×D511yescharacteristic
1072#126—104no—
1073#126—104no—
1074#124—104no—
1075#124—104no—
1076#123—104no—
1077#123—104no—
1078#123—202no—
1079C22⋊Q8—104no—
1080C22⋊Q8—202no—
1081#121—24no—
1082#121—104no—
1083#121—104no—
1084#121—104no—
1085#121—202no—
1086#121—202no—
1087#121—202no—
1088#120—104no—
1089#120—104no—
1090#120—104no—
1091#120—104no—
1092#120—202no—
1093#120—202no—
1094#120—202no—
1095C4×D4—24no—
1096C4×D4—58no—
1097C4×D4—104no—
1098C4×D4—104no—
1099C4×D4—104no—
1100C4×D4—104no—
1101C4×D4—104no—
1102C4×D4—104no—
1103C4×D4—104no—
1104C4×D4—202no—
1105C4×D4—202no—
1106C2×C4⋊C4—51no—
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⋊C4—104no—
1123C2×C4⋊C4C22×D511yescharacteristic
1124C2×C4⋊C4C22×D511yescharacteristic
1125C2×C4⋊C4C22×D511yescharacteristic
1126C2×C4⋊C4C22×D511yescharacteristic
1127C2×C22⋊C4—51no—
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—51no—
1169C2×C22⋊C4—104no—
1170C2×C22⋊C4—104no—
1171C2×C22⋊C4—104no—
1172C2×C22⋊C4—202no—
1173C2×C22⋊C4—202no—
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×C42—51no—
1189C2×C42—51no—
1190C2×C42—51no—
1191C2×C42—51no—
1192C2×C42—51no—
1193C2×C42—51no—
1194C2×C42—104no—
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#95C22×D511yescharacteristic
1221#95C22×D511yescharacteristic
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—41no—
1235C22×C5—41no—
1236C22×C5—41no—
1237C22×C5—41no—
1238C22×C5—41no—
1239C22×C5—41no—
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×C5C23×D411yescharacteristic
1257C22×C5C22×#4111yescharacteristic
1258C22×C5C22×#4111yescharacteristic
1259C22×C5C2×H(5,𝔽2)11yescharacteristic
1260C22×C5C2×H(5,𝔽2)11yescharacteristic
1261C22×C5C2×H(5,𝔽2)11yescharacteristic
1262C22×C5#58511yescharacteristic
1263C2×D5—22no—
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—22no—
1277C2×D5—22no—
1278C2×D5—416no—
1279C2×D5—416no—
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—88no—
1292C2×D5#52514yes—
1293C2×D5#53814yescomplemented
1294C4×C5—22no—
1295C4×C5—22no—
1296C4×C5—22no—
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—41no—
1310Dic5—41no—
1311Dic5—41no—
1312Dic5—41no—
1313Dic5—41no—
1314Dic5—41no—
1315Dic5—41no—
1316Dic5—41no—
1317C24—51no—
1318C24—51no—
1319C24—51no—
1320C24—54no—
1321C24—51no—
1322C24—102no—
1323C24—102no—
1324C24—102no—
1325C24—102no—
1326C24—102no—
1327C24—102no—
1328C24—102no—
1329C24—102no—
1330C24—102no—
1331C24—102no—
1332C24—102no—
1333C24—102no—
1334C24—201no—
1335C24—201no—
1336C24—201no—
1337C24—201no—
1338C24—201no—
1339C24—201no—
1340C24—201no—
1341C24—201no—
1342C24C23×D511yescharacteristic
1343C24C23×D511yescharacteristic
1344C24C23×D511yescharacteristic
1345C24C23×D511yescharacteristic
1346C2×Q8—102no—
1347C2×Q8—201no—
1348C2×Q8—201no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—54no—
1368C2×D4—54no—
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—1032no—
1378C2×D4—102no—
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—102no—
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—2016no—
1408C22×C4—22no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—51no—
1414C22×C4—51no—
1415C22×C4—51no—
1416C22×C4—51no—
1417C22×C4—54no—
1418C22×C4—51no—
1419C22×C4—51no—
1420C22×C4—51no—
1421C22×C4—51no—
1422C22×C4—51no—
1423C22×C4—51no—
1424C22×C4—51no—
1425C22×C4—51no—
1426C22×C4—102no—
1427C22×C4—102no—
1428C22×C4—102no—
1429C22×C4—102no—
1430C22×C4—102no—
1431C22×C4—102no—
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—102no—
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—2016no—
1467C22×C4—2016no—
1468C22×C4—201no—
1469C22×C4—201no—
1470C22×C4—201no—
1471C22×C4—201no—
1472C22×C4D4×D514yescomplemented
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—54no—
1489C4⋊C4—102no—
1490C4⋊C4—102no—
1491C4⋊C4—102no—
1492C4⋊C4—102no—
1493C4⋊C4—102no—
1494C4⋊C4—102no—
1495C4⋊C4—102no—
1496C4⋊C4—102no—
1497C4⋊C4—201no—
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—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—54no—
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—102no—
1546C22⋊C4—102no—
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⋊C4—201no—
1560C42—22no—
1561C42—54no—
1562C42—102no—
1563C42—102no—
1564C42—102no—
1565C42—201no—
1566C42—201no—
1567C2×C5—42no—
1568C2×C5—42no—
1569C2×C5—81no—
1570C2×C5—81no—
1571C2×C5C2×#52511yescharacteristic
1572C2×C5C2×#53811yescharacteristic
1573C2×C5#345911yescharacteristic
1574C2×C5#348411yescharacteristic
1575C2×C5#348811yescharacteristic
1576C2×C5#351311yescharacteristic
1577C2×C5#351911yescharacteristic
1578D5—24no—
1579D5—24no—
1580D5—42no—
1581D5—81no—
1582C23—21no—
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—21no—
1608C23—52no—
1609C23—52no—
1610C23—52no—
1611C23—52no—
1612C23—52no—
1613C23—52no—
1614C23—52no—
1615C23—108no—
1616C23—108no—
1617C23—108no—
1618C23—101no—
1619C23—101no—
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—204no—
1640C23—204no—
1641C23—204no—
1642C23—204no—
1643C23—204no—
1644C23—204no—
1645C23—204no—
1646C23—204no—
1647C23—204no—
1648C23—204no—
1649C23—204no—
1650C23—204no—
1651C23—204no—
1652C23—204no—
1653C23—402no—
1654C23—402no—
1655C23—402no—
1656C23—402no—
1657C23C2×D4×D512yes—
1658C23D5×#4112yes—
1659C23C24×D511yescharacteristic
1660Q8—402no—
1661D4—28no—
1662D4—44no—
1663D4—44no—
1664D4—82no—
1665D4—82no—
1666D4—82no—
1667D4—108no—
1668D4—108no—
1669D4—108no—
1670D4—204no—
1671D4—204no—
1672D4—204no—
1673D4—204no—
1674D4—204no—
1675D4—402no—
1676D4—402no—
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—44no—
1711C2×C4—44no—
1712C2×C4—52no—
1713C2×C4—52no—
1714C2×C4—52no—
1715C2×C4—52no—
1716C2×C4—108no—
1717C2×C4—108no—
1718C2×C4—101no—
1719C2×C4—101no—
1720C2×C4—101no—
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—204no—
1751C2×C4—204no—
1752C2×C4—204no—
1753C2×C4—204no—
1754C2×C4—204no—
1755C2×C4—204no—
1756C2×C4—204no—
1757C2×C4—204no—
1758C2×C4—204no—
1759C2×C4—204no—
1760C2×C4—402no—
1761C2×C4—402no—
1762C2×C4—402no—
1763C2×C4C2×D4×D512yes—
1764C2×C4C2×D4×D512yes—
1765C2×C4D5×#4112yes—
1766C5#3499011yescharacteristic, complemented, Sylow
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
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—54no—
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—102no—
1810C22—102no—
1811C22—102no—
1812C22—2016no—
1813C22—2016no—
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×D5×#4111yescharacteristic
1828C22C2×D5×#4111yescharacteristic
1829C22D5×H(5,𝔽2)11yescharacteristic
1830C22D5×H(5,𝔽2)11yescharacteristic
1831C22D5×H(5,𝔽2)11yescharacteristic
1832C22#6628511yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
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—201no—
1849C4—201no—
1850C4—201no—
1851C4—201no—
1852C4—201no—
1853C4—201no—
1854C4—201no—
1855C4—201no—
1856C2—42no—
1857C2—42no—
1858C2—81no—
1859C2—81no—
1860C2—104no—
1861C2—104no—
1862C2—202no—
1863C2—401no—
1864C2D5×#52511yescharacteristic
1865C2#1061820911yescharacteristic
1866C2#1061823211yescharacteristic
1867C2#1061828911yescharacteristic
1868C2D5×#53811yescharacteristic
1869C2#1061838811yescharacteristic
1870C2#1061838911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2635C2
hypercenter#2635D5
hypocenterC5#34990
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2635

Complements

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

NH ≅ G/Ntype
1. C2×#65947C2semidirect
2. C2×C4×D4×D5C2semidirect
3. C5×#2635C2semidirect
4. #10614454C2semidirect
5. #10614151C2semidirect
6. #10610075C2semidirect
7. #10609876C2semidirect
8. #10609833C2semidirect
9. #10609756C2semidirect
10. #10608849C2semidirect
11. #10608848C2semidirect
12. #10608845C2semidirect
13. #10608844C2semidirect
14. #10608843C2semidirect
15. #10608657C2semidirect
16. #10608486C2semidirect
17. #10608486C2semidirect
18. #10608484C2semidirect
19. #10608410C2semidirect
20. #10608407C2semidirect
21. #10608406C2semidirect
22. #10607689C2semidirect
23. #10607688C2semidirect
24. #10607560C2semidirect
25. #10607558C2semidirect
26. D5×#386C2semidirect
27. #10606515C2semidirect
28. #10606514C2semidirect
29. #10606390C2semidirect
30. #10605877C2semidirect
31. #10605851C2semidirect
35. C23×C4×D5C22semidirect
36. C2×C5×#121C22semidirect
37. C2×C4×C5×D4C22semidirect
38. C2×#4085C22semidirect
41. C2×#4084C22semidirect
45. C2×#4083C22semidirect
46. C2×#4083C22semidirect
47. C2×#4082C22semidirect
48. C2×#4081C22semidirect
49. C2×D4×Dic5C22semidirect
50. C2×D4×Dic5C22semidirect
51. C2×#4075C22semidirect
53. C2×C4×C22⋊D5C22semidirect
56. C2×#4044C22semidirect
57. C2×#4042C22semidirect
58. C2×#4042C22semidirect
60. C2×D5×C4⋊C4C22semidirect
61. C2×#4032C22semidirect
62. C2×#4031C22semidirect
68. C2×#4027C22semidirect
69. C2×#4027C22semidirect
70. C2×#4027C22semidirect
73. C2×D5×C22⋊C4C22semidirect
74. C2×D5×C22⋊C4C22semidirect
75. C2×D5×C22⋊C4C22semidirect
76. C2×#4025C22semidirect
78. C2×C42×D5C22semidirect
79. C5×#400C22semidirect
80. C5×#399C22semidirect
81. C5×#394C22semidirect
82. C5×#394C22semidirect
83. C5×#394C22semidirect
85. C5×#392C22semidirect
86. C5×#392C22semidirect
87. C5×#388C22semidirect
88. C5×#388C22semidirect
89. C5×#386C22semidirect
90. C5×#386C22semidirect
91. C5×#381C22semidirect
94. #65512C22semidirect
95. #65512C22semidirect
96. #65511C22semidirect
97. #65511C22semidirect
98. #65509C22semidirect
99. #65509C22semidirect
100. #65509C22semidirect
101. #65502C22semidirect
102. #65501C22semidirect
103. #65499C22semidirect
104. #65283C22semidirect
105. #65279C22semidirect
106. #65279C22semidirect
107. #65278C22semidirect
108. #65278C22semidirect
109. #65277C22semidirect
110. #65276C22semidirect
111. #65276C22semidirect
112. #65276C22semidirect
113. #65273C22semidirect
114. #65270C22semidirect
115. #65250C22semidirect
116. #65250C22semidirect
118. #65249C22semidirect
119. #65248C22semidirect
120. #65248C22semidirect
121. #65247C22semidirect
122. #65247C22semidirect
123. #65246C22semidirect
124. #65246C22semidirect
131. #65245C22semidirect
132. #65245C22semidirect
133. #65245C22semidirect
134. #65245C22semidirect
135. #65245C22semidirect
136. #65245C22semidirect
138. #65244C22semidirect
139. #65244C22semidirect
140. #65241C22semidirect
141. #65241C22semidirect
142. #65240C22semidirect
143. #65240C22semidirect
144. #65239C22semidirect
145. #65238C22semidirect
146. #65237C22semidirect
147. #65237C22semidirect
148. #65236C22semidirect
149. #65234C22semidirect
150. #65234C22semidirect
151. #65233C22semidirect
152. #65233C22semidirect
153. #65232C22semidirect
154. C22⋊C4×Dic5C22semidirect
155. #65229C22semidirect
156. #65222C22semidirect
157. #64965C22semidirect
158. #64964C22semidirect
159. #64962C22semidirect
160. #64959C22semidirect
161. #64957C22semidirect
162. #64957C22semidirect
163. #64957C22semidirect
164. #64957C22semidirect
165. #64957C22semidirect
166. #64957C22semidirect
167. #64957C22semidirect
168. #64957C22semidirect
169. #64955C22semidirect
170. #64955C22semidirect
177. #64954C22semidirect
178. #64954C22semidirect
179. D5×#95C22semidirect
180. D5×#95C22semidirect
181. #64949C22semidirect
182. #64944C22semidirect
183. #64944C22semidirect
184. #64944C22semidirect
185. #64943C22semidirect
186. #64940C22semidirect
187. #64939C22semidirect
188. #64935C22semidirect
294. C4×C22⋊D5D4semidirect
405. #2635D5semidirect
481. C22×C4×C5C2×D4semidirect
630. C22⋊Dic5C2×D4semidirect
672. #683C2×D4semidirect
678. C4×Dic5C2×D4semidirect
699. C2×#121C2×D5semidirect
718. C2×C4×D4C2×D5semidirect
727. #400C2×D5semidirect
729. #399C2×D5semidirect
744. #394C2×D5semidirect
745. #394C2×D5semidirect
746. #394C2×D5semidirect
756. #392C2×D5semidirect
757. #392C2×D5semidirect
772. #388C2×D5semidirect
773. #388C2×D5semidirect
806. #386C2×D5semidirect
807. #386C2×D5semidirect
823. #381C2×D5semidirect
1293. C2×D5#538semidirect
1472. C22×C4D4×D5semidirect
1766. C5#34990semidirect

Maximal subgroups

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

subgroupindex
C2×#659472
C2×C4×D4×D52
C5×#26352
#106144542
#106141512
#106100752
#106098762
#106098332
#106097562
#106088492
#106088482
#106088452
#106088442
#106088432
#106086572
#106084862
#106084842
#106084102
#106084072
#106084062
#106076892
#106076882
#106075602
#106075582
D5×#3862
#106065152
#106065142
#106063902
#106058772
#106058512
#349905