Finite Group Databasebeta

← #12271984

Subgroups — #12271984

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×#65991C211yesmaximal, characteristic, complemented
2C22×#4039C211yesmaximal, characteristic, complemented
3C5×#2443C211yesmaximal, characteristic, complemented
4#10614630C211yesmaximal, characteristic, complemented
5#10614454C211yesmaximal, characteristic, complemented
6#10614433C211yesmaximal, characteristic, complemented
7#10614138C211yesmaximal, characteristic, complemented
8C4×#4083C211yesmaximal, characteristic, complemented
9#10613906C211yesmaximal, characteristic, complemented
10#10609832C211yesmaximal, characteristic, complemented
11#10609784C211yesmaximal, characteristic, complemented
12#10609684C211yesmaximal, characteristic, complemented
13#10609552C211yesmaximal, characteristic, complemented
14#10609406C211yesmaximal, characteristic, complemented
15#10609273C211yesmaximal, characteristic, complemented
16#10608844C211yesmaximal, characteristic, complemented
17#10608711C211yesmaximal, characteristic, complemented
18#10607557C211yesmaximal, characteristic, complemented
19#10607239C211yesmaximal, characteristic, complemented
20#10606732C211yesmaximal, characteristic, complemented
21#10606676C211yesmaximal, characteristic, complemented
22#10606618C211yesmaximal, characteristic, complemented
23#10606615C211yesmaximal, characteristic, complemented
24D5×#386C211yesmaximal, characteristic, complemented
25#10606601C211yesmaximal, characteristic, complemented
26#10606600C211yesmaximal, characteristic, complemented
27#10606458C211yesmaximal, characteristic, complemented
28#10606387C211yesmaximal, characteristic, complemented
29#10606325C211yesmaximal, characteristic, complemented
30#10606158C211yesmaximal, characteristic, complemented
31#10606144C211yesmaximal, characteristic, complemented
32C22×D4×D5C2211yescharacteristic
33C23×D20C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C23×C4×D5C2211yescharacteristic, complemented
36C2×C5×#123C2211yescharacteristic, complemented
37C2×C5×#121C2211yescharacteristic
38C2×C4×C5×D4C2211yescharacteristic, complemented
39C22×C5×C4⋊C4C2211yescharacteristic, complemented
40C2×#4085C2211yescharacteristic
41C2×#4084C2211yescharacteristic, complemented
42C2×#4084C2211yescharacteristic, complemented
43C2×#4083C2211yescharacteristic
44C2×#4083C2211yescharacteristic
45C2×#4083C2211yescharacteristic, complemented
46C2×#4083C2211yescharacteristic, complemented
47C2×#4076C2211yescharacteristic, complemented
48C2×C4×C22⋊D5C2211yescharacteristic, complemented
49C2×C4×C22⋊D5C2211yescharacteristic, complemented
50C22×#685C2211yescharacteristic
51C22×#685C2211yescharacteristic, complemented
52C22×C4×Dic5C2211yescharacteristic, complemented
53#65991—28no—
54C2×#4044C2211yescharacteristic, complemented
55C2×#4043C2211yescharacteristic, complemented
56C2×#4040C2211yescharacteristic, complemented
57C2×#4040C2211yescharacteristic, complemented
58C2×#4039—28no—
59C2×#4039C2211yescharacteristic
60C2×#4039C2211yescharacteristic
61C2×#4039C2211yescharacteristic
62C2×#4039C2211yescharacteristic
63C2×#4039C2211yescharacteristic, complemented
64C2×#4039C2211yescharacteristic, complemented
65C2×#4039C2211yescharacteristic, complemented
66C2×#4039C2211yescharacteristic, complemented
67C2×#4031C2211yescharacteristic, complemented
68C2×#4031C2211yescharacteristic, complemented
69C2×#4030C2211yescharacteristic
70C2×#4030C2211yescharacteristic
71C2×#4028C2211yescharacteristic
72C2×#4028C2211yescharacteristic
73C2×#4028C2211yescharacteristic
74C2×D5×C22⋊C4C2211yescharacteristic
75C2×D5×C22⋊C4C2211yescharacteristic, complemented
76C2×D5×C22⋊C4C2211yescharacteristic, complemented
77C2×#4025C2211yescharacteristic, complemented
78C2×#4024C2211yescharacteristic, complemented
79C5×#399C2211yescharacteristic, complemented
80C5×#398C2211yescharacteristic, complemented
81C5×#397C2211yescharacteristic, complemented
82C5×#394C2211yescharacteristic, complemented
83C5×#388C2211yescharacteristic, complemented
84C5×#387C2211yescharacteristic, complemented
85C5×#386C2211yescharacteristic
86C5×#386C2211yescharacteristic
87C5×#386C2211yescharacteristic, complemented
88C5×#385C2211yescharacteristic, complemented
89C5×#385C2211yescharacteristic, complemented
90#65512C2211yescharacteristic, complemented
91#65509C2211yescharacteristic
92#65509C2211yescharacteristic
93#65509C2211yescharacteristic, complemented
94#65502C2211yescharacteristic
95#65502C2211yescharacteristic
96#65502C2211yescharacteristic
97#65502C2211yescharacteristic, complemented
98#65501C2211yescharacteristic, complemented
99#65499C2211yescharacteristic, complemented
100C4×C22⋊Dic5C2211yescharacteristic, complemented
101#65283C2211yescharacteristic, complemented
102#65283C2211yescharacteristic, complemented
103#65283C2211yescharacteristic, complemented
104#65283C2211yescharacteristic, complemented
105#65282C2211yescharacteristic, complemented
106#65280C2211yescharacteristic, complemented
107#65280C2211yescharacteristic, complemented
108#65279C2211yescharacteristic, complemented
109#65278C2211yescharacteristic, complemented
110#65278C2211yescharacteristic, complemented
111#65278C2211yescharacteristic, complemented
112#65278C2211yescharacteristic, complemented
113#65278C2211yescharacteristic, complemented
114#65276C2211yescharacteristic, complemented
115#65276C2211yescharacteristic, complemented
116#65276C2211yescharacteristic, complemented
117#65275C2211yescharacteristic, complemented
118#65271C2211yescharacteristic, complemented
119#65270C2211yescharacteristic, complemented
120#65267C2211yescharacteristic, complemented
121#65250C2211yescharacteristic, complemented
122#65250C2211yescharacteristic, complemented
123#65249C2211yescharacteristic
124#65249C2211yescharacteristic
125#65249C2211yescharacteristic, complemented
126#65249C2211yescharacteristic, complemented
127#65249C2211yescharacteristic, complemented
128#65249C2211yescharacteristic, complemented
129#65248C2211yescharacteristic, complemented
130#65248C2211yescharacteristic, complemented
131#65247C2211yescharacteristic
132#65246C2211yescharacteristic, complemented
133#65246C2211yescharacteristic, complemented
134#65245C2211yescharacteristic, complemented
135#65245C2211yescharacteristic, complemented
136#65245C2211yescharacteristic, complemented
137#65245C2211yescharacteristic, complemented
138#65245C2211yescharacteristic, complemented
139#65245C2211yescharacteristic, complemented
140#65245C2211yescharacteristic, complemented
141#65245C2211yescharacteristic, complemented
142#65245C2211yescharacteristic, complemented
143#65244C2211yescharacteristic
144#65244C2211yescharacteristic, complemented
145#65244C2211yescharacteristic, complemented
146#65240C2211yescharacteristic, complemented
147#65240C2211yescharacteristic, complemented
148#65239C2211yescharacteristic, complemented
149#65235C2211yescharacteristic, complemented
150#65234C2211yescharacteristic, complemented
151#65233C2211yescharacteristic, complemented
152#65233C2211yescharacteristic, complemented
153#65229C2211yescharacteristic, complemented
154#65228C2211yescharacteristic, complemented
155C4×#685C2211yescharacteristic, complemented
156C4×#685C2211yescharacteristic, complemented
157#64966C2211yescharacteristic, complemented
158#64964C2211yescharacteristic, complemented
159#64962C2211yescharacteristic, complemented
160#64962C2211yescharacteristic, complemented
161#64961C2211yescharacteristic, complemented
162#64961C2211yescharacteristic, complemented
163#64960C2211yescharacteristic
164#64960C2211yescharacteristic
165#64959C2211yescharacteristic, complemented
166#64959C2211yescharacteristic, complemented
167#64958C2211yescharacteristic, complemented
168#64958C2211yescharacteristic, complemented
169#64957C2211yescharacteristic, complemented
170#64957C2211yescharacteristic, complemented
171#64954C2211yescharacteristic
172#64954C2211yescharacteristic
173#64954C2211yescharacteristic
174#64954C2211yescharacteristic
175#64954C2211yescharacteristic, complemented
176#64954C2211yescharacteristic, complemented
177#64954C2211yescharacteristic, complemented
178#64954C2211yescharacteristic, complemented
179#64953C2211yescharacteristic, complemented
180#64953C2211yescharacteristic, complemented
181D5×#95C2211yescharacteristic, complemented
182D5×#95C2211yescharacteristic, complemented
183#64944C2211yescharacteristic, complemented
184#64942C2211yescharacteristic, complemented
185#64941C2211yescharacteristic, 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
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C23×C4×C5C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C22×C22⋊D5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
202C22×C22⋊D5C2311yescharacteristic
203C22×C22⋊D5C2311yescharacteristic
204C22×C22⋊D5C2311yescharacteristic
205C22×C22⋊D5C2311yescharacteristic
206C22×C22⋊D5C2311yescharacteristic
207C22×C22⋊D5C2311yescharacteristic
208C22×C22⋊D5C2311yescharacteristic
209C23×Dic5C2311yescharacteristic
210C23×Dic5C2311yescharacteristic
211C2×D4×D5—24no—
212C2×D4×D5—42no—
213C2×D4×D5—42no—
214C22×D20—24no—
215C22×D20—24no—
216C22×D20—24no—
217C22×D20C2311yescharacteristic
218C22×D20C2311yescharacteristic
219C22×D20C2311yescharacteristic
220C22×D20C2311yescharacteristic
221C22×D20C2311yescharacteristic
222C22×D20C2311yescharacteristic
223C22×D20C2311yescharacteristic
224C22×C4×D5—24no—
225C22×C4×D5—24no—
226C22×C4×D5—42no—
227C22×C4×D5—42no—
228C22×C4×D5—42no—
229C22×C4×D5—42no—
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×#123—24no—
243C5×#121—42no—
244C4×C5×D4—42no—
245C2×C5×C4⋊C4—24no—
246C2×C5×C4⋊C4C2311yescharacteristic
247C2×C5×C4⋊C4C2311yescharacteristic
248C2×C5×C4⋊C4C2311yescharacteristic
249C2×C5×C4⋊C4C2311yescharacteristic
250C2×C5×C4⋊C4C2311yescharacteristic
251C2×C5×C4⋊C4C2311yescharacteristic
252C2×C5×C4⋊C4C2311yescharacteristic
253C2×C5×C4⋊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×C42×C5C2311yescharacteristic
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
276#4085—42no—
277#4084—24no—
278#4084—42no—
279#4083—24no—
280#4083—24no—
281#4083—42no—
282#4083—42no—
283#4076—24no—
284C4×C22⋊D5—24no—
285C4×C22⋊D5—42no—
286C2×#685—24no—
287C2×#685—24no—
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#685C2311yescharacteristic
293C2×#685C2311yescharacteristic
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×#685C2311yescharacteristic
321C2×#685C2311yescharacteristic
322C2×#685C2311yescharacteristic
323C2×C4⋊Dic5C2311yescharacteristic
324C2×C4⋊Dic5C2311yescharacteristic
325C2×C4⋊Dic5C2311yescharacteristic
326C2×C4⋊Dic5C2311yescharacteristic
327C2×C4⋊Dic5C2311yescharacteristic
328C2×#683C2311yescharacteristic
329C2×#683C2311yescharacteristic
330C2×#683C2311yescharacteristic
331C2×#683C2311yescharacteristic
332C2×#683C2311yescharacteristic
333C2×#683C2311yescharacteristic
334C2×#683C2311yescharacteristic
335C2×C4×Dic5—24no—
336C2×C4×Dic5C2311yescharacteristic
337C2×C4×Dic5C2311yescharacteristic
338C2×C4×Dic5C2311yescharacteristic
339C2×C4×Dic5C2311yescharacteristic
340C2×C4×Dic5C2311yescharacteristic
341C2×C4×Dic5C2311yescharacteristic
342#4044—24no—
343#4043—24no—
344#4040—24no—
345#4040—42no—
346#4039—24no—
347#4039—24no—
348#4039—24no—
349#4039—24no—
350#4039—24no—
351#4039—24no—
352#4039—24no—
353#4039D418yescomplemented
354#4031—24no—
355#4031—24no—
356#4030—24no—
357#4030—24no—
358#4028—24no—
359#4028—24no—
360#4028—42no—
361D5×C22⋊C4—24no—
362D5×C22⋊C4—42no—
363D5×C22⋊C4—42no—
364#4025—24no—
365#4024—42no—
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#2635—51no—
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#2443D511yescharacteristic, complemented
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
432C23×D5—22no—
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—41no—
445C23×D5—41no—
446C23×D5—41no—
447C23×D5—41no—
448C23×D5—41no—
449C23×D5—41no—
450C23×D5—41no—
451C23×D5—41no—
452C23×D5#4114yes—
453C23×D5C2411yescharacteristic
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—41no—
466C2×C5×D4—41no—
467C22×C4×C5—22no—
468C22×C4×C5—22no—
469C22×C4×C5—22no—
470C22×C4×C5—22no—
471C22×C4×C5—22no—
472C22×C4×C5—22no—
473C22×C4×C5—22no—
474C22×C4×C5—22no—
475C22×C4×C5—41no—
476C22×C4×C5—41no—
477C22×C4×C5—41no—
478C22×C4×C5—41no—
479C22×C4×C5C2411yescharacteristic
480C22×C4×C5C2411yescharacteristic
481C22×C4×C5C2411yescharacteristic
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
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—41no—
505C2×C22⋊D5—41no—
506C2×C22⋊D5—41no—
507C2×C22⋊D5—41no—
508C2×C22⋊D5—41no—
509C2×C22⋊D5—41no—
510C2×C22⋊D5—41no—
511C2×C22⋊D5—41no—
512C2×C22⋊D5—41no—
513C2×C22⋊D5—41no—
514C2×C22⋊D5—41no—
515C2×C22⋊D5—41no—
516C2×C22⋊D5—41no—
517C2×C22⋊D5—41no—
518C22×Dic5—22no—
519C22×Dic5—22no—
520C22×Dic5—22no—
521C22×Dic5—22no—
522C22×Dic5—22no—
523C22×Dic5—41no—
524C22×Dic5C2411yescharacteristic
525C22×Dic5C2411yescharacteristic
526C22×Dic5C2411yescharacteristic
527C22×Dic5C2411yescharacteristic
528C22×Dic5C2411yescharacteristic
529C22×Dic5C2411yescharacteristic
530C22×Dic5C2411yescharacteristic
531C22×Dic5C2411yescharacteristic
532C22×Dic5C2411yescharacteristic
533C22×Dic5C2411yescharacteristic
534C22×Dic5C2411yescharacteristic
535D4×D5—416no—
536C2×D20—232no—
537C2×D20—22no—
538C2×D20—22no—
539C2×D20—22no—
540C2×D20—22no—
541C2×D20—22no—
542C2×D20—22no—
543C2×D20—22no—
544C2×D20—22no—
545C2×D20—22no—
546C2×D20—22no—
547C2×D20—22no—
548C2×D20—22no—
549C2×D20—22no—
550C2×D20—41no—
551C2×D20—41no—
552C2×D20—41no—
553C2×D20—41no—
554C2×D20—41no—
555C2×D20—41no—
556C2×D20C2×D414yes—
557C2×D20#4114yes—
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—41no—
572C2×C4×D5—41no—
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—41no—
584C2×C4×D5—41no—
585C2×C4×D5—416no—
586C2×C4×D5—416no—
587C2×C4×D5—41no—
588C2×C4×D5—41no—
589C2×C4×D5—41no—
590C2×C4×D5—41no—
591C2×C4×D5C2×D414yes—
592C2×C4×D5C2×D414yescomplemented
593C2×Dic10—22no—
594C2×Dic10—41no—
595C2×Dic10—41no—
596C5×C4⋊C4—22no—
597C5×C4⋊C4—22no—
598C5×C4⋊C4—22no—
599C5×C4⋊C4—22no—
600C5×C4⋊C4—41no—
601C5×C4⋊C4—41no—
602C5×C4⋊C4—41no—
603C5×C4⋊C4C2×D414yescomplemented
604C5×C22⋊C4—22no—
605C5×C22⋊C4—22no—
606C5×C22⋊C4—22no—
607C5×C22⋊C4—22no—
608C5×C22⋊C4—22no—
609C5×C22⋊C4—22no—
610C5×C22⋊C4—22no—
611C5×C22⋊C4—41no—
612C5×C22⋊C4—41no—
613C5×C22⋊C4—41no—
614C5×C22⋊C4—41no—
615C42×C5—41no—
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—
626#685—22no—
627#685—22no—
628#685—22no—
629#685—22no—
630#685—22no—
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—41no—
645#685—41no—
646#685—41no—
647#685—41no—
648#685—41no—
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#685—41no—
658#685—41no—
659#685C2×D414yes—
660#685C2×D414yescomplemented
661C4⋊Dic5—22no—
662C4⋊Dic5—22no—
663C4⋊Dic5—41no—
664C4⋊Dic5—41no—
665C4⋊Dic5—41no—
666#683—22no—
667#683—22no—
668#683—22no—
669#683—22no—
670#683—41no—
671#683—41no—
672#683—41no—
673C4×Dic5—22no—
674C4×Dic5—22no—
675C4×Dic5—22no—
676C4×Dic5—22no—
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×#123C2×D511yescharacteristic, complemented
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
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⋊C4C2×D511yescharacteristic, complemented
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#400—51no—
728#399—51no—
729#399C2×D511yescharacteristic, complemented
730#398C2×D511yescharacteristic, complemented
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#394—51no—
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#388—51no—
773#388C2×D511yescharacteristic, complemented
774#387—51no—
775#387—51no—
776#387—51no—
777#387—51no—
778#387—51no—
779#387C2×D511yescharacteristic, complemented
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#386C2×D511yescharacteristic
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#385C2×D511yescharacteristic, complemented
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#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×C5C2×#4112yes—
855C23×C5H(5,𝔽2)12yes—
856C23×C5H(5,𝔽2)12yes—
857C23×C5C2511yescharacteristic
858C22×D5—21no—
859C22×D5—21no—
860C22×D5—21no—
861C22×D5—21no—
862C22×D5—28no—
863C22×D5—28no—
864C22×D5—21no—
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—21no—
874C22×D5—21no—
875C22×D5—21no—
876C22×D5—21no—
877C22×D5—21no—
878C22×D5—21no—
879C22×D5—21no—
880C22×D5—21no—
881C22×D5—21no—
882C22×D5—28no—
883C22×D5—21no—
884C22×D5—21no—
885C22×D5—21no—
886C22×D5—21no—
887C22×D5—21no—
888C22×D5—21no—
889C22×D5—21no—
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—44no—
904C22×D5—82no—
905C22×D5—82no—
906C22×D5—82no—
907C22×D5—82no—
908C22×D5C22×D412yes—
909C22×D5C22×D412yes—
910C22×D5C2×#4112yes—
911C22×D5C2×#4112yes—
912C22×D5C2×#4112yes—
913C22×D5C2×#4112yes—
914C5×D4—44no—
915C5×D4—44no—
916C5×D4—82no—
917C2×C4×C5—28no—
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—21no—
949C2×C4×C5—21no—
950C2×C4×C5—44no—
951C2×C4×C5—44no—
952C2×C4×C5—82no—
953C2×C4×C5C22×D412yes—
954C2×C4×C5C22×D412yes—
955C2×C4×C5C22×D412yes—
956C2×C4×C5C2×#4112yes—
957C22⋊D5—44no—
958C22⋊D5—44no—
959C22⋊D5—44no—
960C22⋊D5—44no—
961C22⋊D5—82no—
962C22⋊D5—82no—
963C22⋊D5—82no—
964C22⋊D5—82no—
965C22⋊D5—82no—
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—44no—
998C2×Dic5C22×D412yes—
999C2×Dic5C22×D412yes—
1000C2×Dic5H(5,𝔽2)12yes—
1001D20—28no—
1002D20—28no—
1003D20—28no—
1004D20—28no—
1005D20—44no—
1006D20—82no—
1007D20—82no—
1008C4×D5—44no—
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—51no—
1038C22×D4—51no—
1039C22×D4—51no—
1040C22×D4—104no—
1041C22×D4—104no—
1042C22×D4—104no—
1043C22×D4—104no—
1044C22×D4—202no—
1045C22×D4—202no—
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—104no—
1063C23×C4—104no—
1064C23×C4—202no—
1065C23×C4—202no—
1066C23×C4—202no—
1067C23×C4—202no—
1068C23×C4C22×D511yescharacteristic
1069C23×C4C22×D511yescharacteristic
1070C23×C4C22×D511yescharacteristic
1071C23×C4C22×D511yescharacteristic
1072#126—104no—
1073#126—104no—
1074#124—104no—
1075#124—104no—
1076#123—24no—
1077#123—104no—
1078#123—202no—
1079C22⋊Q8—104no—
1080C22⋊Q8—202no—
1081#121—42no—
1082#121—104no—
1083#121—104no—
1084#121—104no—
1085#121—104no—
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—42no—
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—104no—
1105C4×D4—202no—
1106C2×C4⋊C4—24no—
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⋊C4C22×D511yescharacteristic
1120C2×C4⋊C4C22×D511yescharacteristic
1121C2×C4⋊C4C22×D511yescharacteristic
1122C2×C4⋊C4C22×D511yescharacteristic
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—51no—
1170C2×C22⋊C4—51no—
1171C2×C22⋊C4—51no—
1172C2×C22⋊C4—104no—
1173C2×C22⋊C4—104no—
1174C2×C22⋊C4—104no—
1175C2×C22⋊C4—202no—
1176C2×C22⋊C4—202no—
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#53814yescomplemented
1249C22×C5C23×D411yescharacteristic
1250C22×C5C22×#4111yescharacteristic
1251C22×C5C22×#4111yescharacteristic
1252C22×C5C2×H(5,𝔽2)11yescharacteristic
1253C22×C5C2×H(5,𝔽2)11yescharacteristic
1254C22×C5C2×H(5,𝔽2)11yescharacteristic
1255C22×C5#58511yescharacteristic
1256C2×D5—22no—
1257C2×D5—22no—
1258C2×D5—22no—
1259C2×D5—22no—
1260C2×D5—22no—
1261C2×D5—22no—
1262C2×D5—22no—
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—416no—
1272C2×D5—416no—
1273C2×D5—41no—
1274C2×D5—41no—
1275C2×D5—41no—
1276C2×D5—41no—
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—22no—
1297C4×C5—22no—
1298C4×C5—41no—
1299C4×C5—41no—
1300C4×C5—41no—
1301C4×C5—41no—
1302C4×C5—41no—
1303C4×C5—41no—
1304C4×C5—41no—
1305C4×C5—41no—
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—51no—
1321C24—54no—
1322C24—51no—
1323C24—102no—
1324C24—102no—
1325C24—102no—
1326C24—102no—
1327C24—102no—
1328C24—102no—
1329C24—102no—
1330C24—102no—
1331C24—102no—
1332C24—102no—
1333C24—102no—
1334C24—102no—
1335C24—201no—
1336C24—201no—
1337C24—201no—
1338C24—201no—
1339C24—201no—
1340C24—201no—
1341C24—201no—
1342C24—201no—
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—41no—
1357C2×D4—41no—
1358C2×D4—54no—
1359C2×D4—54no—
1360C2×D4—102no—
1361C2×D4—102no—
1362C2×D4—102no—
1363C2×D4—102no—
1364C2×D4—102no—
1365C2×D4—102no—
1366C2×D4—102no—
1367C2×D4—102no—
1368C2×D4—1032no—
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—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—201no—
1388C2×D4—201no—
1389C2×D4—201no—
1390C2×D4—201no—
1391C2×D4—201no—
1392C2×D4—201no—
1393C2×D4—201no—
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—2016no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
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—51no—
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—201no—
1467C22×C4—201no—
1468C22×C4—201no—
1469C22×C4—2016no—
1470C22×C4—2016no—
1471C22×C4—201no—
1472C22×C4C23×D511yescharacteristic
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—22no—
1487C4⋊C4—22no—
1488C4⋊C4—41no—
1489C4⋊C4—41no—
1490C4⋊C4—41no—
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⋊C4D4×D514yescomplemented
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—54no—
1516C22⋊C4—54no—
1517C22⋊C4—102no—
1518C22⋊C4—102no—
1519C22⋊C4—102no—
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—201no—
1544C22⋊C4—201no—
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⋊C4—201no—
1560C42—41no—
1561C42—54no—
1562C42—102no—
1563C42—102no—
1564C42—102no—
1565C42—102no—
1566C42—201no—
1567C2×C5—24no—
1568C2×C5—81no—
1569C2×C5—81no—
1570C2×C5C2×#52511yescharacteristic
1571C2×C5C2×#53811yescharacteristic
1572C2×C5#345911yescharacteristic
1573C2×C5#348411yescharacteristic
1574C2×C5#348811yescharacteristic
1575C2×C5#351311yescharacteristic
1576C2×C5#351911yescharacteristic
1577D5—24no—
1578D5—42no—
1579D5—42no—
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—52no—
1601C23—52no—
1602C23—52no—
1603C23—52no—
1604C23—52no—
1605C23—52no—
1606C23—108no—
1607C23—108no—
1608C23—101no—
1609C23—101no—
1610C23—101no—
1611C23—101no—
1612C23—108no—
1613C23—101no—
1614C23—101no—
1615C23—101no—
1616C23—101no—
1617C23—101no—
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—204no—
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—402no—
1653C23—402no—
1654C23—402no—
1655C23—402no—
1656C23#414412yes—
1657C23D5×#4112yes—
1658C23#414912yes—
1659C23C24×D511yescharacteristic
1660Q8—402no—
1661D4—44no—
1662D4—44no—
1663D4—82no—
1664D4—108no—
1665D4—108no—
1666D4—108no—
1667D4—108no—
1668D4—204no—
1669D4—204no—
1670D4—204no—
1671D4—204no—
1672D4—204no—
1673D4—402no—
1674D4—402no—
1675D4—402no—
1676D4—402no—
1677D4—402no—
1678D4—402no—
1679D4—402no—
1680C2×C4—28no—
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—21no—
1712C2×C4—21no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—52no—
1716C2×C4—52no—
1717C2×C4—52no—
1718C2×C4—82no—
1719C2×C4—108no—
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×C4C2×D4×D512yes—
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—54no—
1788C22—102no—
1789C22—102no—
1790C22—102no—
1791C22—102no—
1792C22—102no—
1793C22—102no—
1794C22—102no—
1795C22—102no—
1796C22—102no—
1797C22—102no—
1798C22—102no—
1799C22—102no—
1800C22—102no—
1801C22—102no—
1802C22—102no—
1803C22—2016no—
1804C22—2016no—
1805C22—201no—
1806C22—201no—
1807C22—201no—
1808C22—201no—
1809C22—201no—
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—408no—
1825C22#6599114yescomplemented
1826C22C22×D4×D511yescharacteristic
1827C22C2×#414411yescharacteristic
1828C22C2×D5×#4111yescharacteristic
1829C22C2×D5×#4111yescharacteristic
1830C22C2×#414911yescharacteristic
1831C22D5×H(5,𝔽2)11yescharacteristic
1832C22#6628711yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—102no—
1846C4—102no—
1847C4—102no—
1848C4—201no—
1849C4—201no—
1850C4—201no—
1851C4—201no—
1852C4—201no—
1853C4—201no—
1854C4—201no—
1855C4—201no—
1856C2—24no—
1857C2—81no—
1858C2—81no—
1859C2—104no—
1860C2—202no—
1861C2—202no—
1862C2—202no—
1863C2—401no—
1864C2C2×#6599111yescharacteristic
1865C2D5×#52511yescharacteristic
1866C2#1061832911yescharacteristic
1867C2#1061852111yescharacteristic
1868C2#1061858211yescharacteristic
1869C2#1061861411yescharacteristic
1870C2#1061878911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2443C2
hypercenter#2443D5
hypocenterC5#34990
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2443

Complements

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

NH ≅ G/Ntype
1. C2×#65991C2semidirect
2. C22×#4039C2semidirect
3. C5×#2443C2semidirect
4. #10614630C2semidirect
5. #10614454C2semidirect
6. #10614433C2semidirect
7. #10614138C2semidirect
8. C4×#4083C2semidirect
9. #10613906C2semidirect
10. #10609832C2semidirect
11. #10609784C2semidirect
12. #10609684C2semidirect
13. #10609552C2semidirect
14. #10609406C2semidirect
15. #10609273C2semidirect
16. #10608844C2semidirect
17. #10608711C2semidirect
18. #10607557C2semidirect
19. #10607239C2semidirect
20. #10606732C2semidirect
21. #10606676C2semidirect
22. #10606618C2semidirect
23. #10606615C2semidirect
24. D5×#386C2semidirect
25. #10606601C2semidirect
26. #10606600C2semidirect
27. #10606458C2semidirect
28. #10606387C2semidirect
29. #10606325C2semidirect
30. #10606158C2semidirect
31. #10606144C2semidirect
35. C23×C4×D5C22semidirect
36. C2×C5×#123C22semidirect
38. C2×C4×C5×D4C22semidirect
39. C22×C5×C4⋊C4C22semidirect
41. C2×#4084C22semidirect
42. C2×#4084C22semidirect
45. C2×#4083C22semidirect
46. C2×#4083C22semidirect
47. C2×#4076C22semidirect
48. C2×C4×C22⋊D5C22semidirect
49. C2×C4×C22⋊D5C22semidirect
51. C22×#685C22semidirect
52. C22×C4×Dic5C22semidirect
54. C2×#4044C22semidirect
55. C2×#4043C22semidirect
56. C2×#4040C22semidirect
57. C2×#4040C22semidirect
63. C2×#4039C22semidirect
64. C2×#4039C22semidirect
65. C2×#4039C22semidirect
66. C2×#4039C22semidirect
67. C2×#4031C22semidirect
68. C2×#4031C22semidirect
75. C2×D5×C22⋊C4C22semidirect
76. C2×D5×C22⋊C4C22semidirect
77. C2×#4025C22semidirect
78. C2×#4024C22semidirect
79. C5×#399C22semidirect
80. C5×#398C22semidirect
81. C5×#397C22semidirect
82. C5×#394C22semidirect
83. C5×#388C22semidirect
84. C5×#387C22semidirect
87. C5×#386C22semidirect
88. C5×#385C22semidirect
89. C5×#385C22semidirect
90. #65512C22semidirect
93. #65509C22semidirect
97. #65502C22semidirect
98. #65501C22semidirect
99. #65499C22semidirect
100. C4×C22⋊Dic5C22semidirect
101. #65283C22semidirect
102. #65283C22semidirect
103. #65283C22semidirect
104. #65283C22semidirect
105. #65282C22semidirect
106. #65280C22semidirect
107. #65280C22semidirect
108. #65279C22semidirect
109. #65278C22semidirect
110. #65278C22semidirect
111. #65278C22semidirect
112. #65278C22semidirect
113. #65278C22semidirect
114. #65276C22semidirect
115. #65276C22semidirect
116. #65276C22semidirect
117. #65275C22semidirect
118. #65271C22semidirect
119. #65270C22semidirect
120. #65267C22semidirect
121. #65250C22semidirect
122. #65250C22semidirect
125. #65249C22semidirect
126. #65249C22semidirect
127. #65249C22semidirect
128. #65249C22semidirect
129. #65248C22semidirect
130. #65248C22semidirect
132. #65246C22semidirect
133. #65246C22semidirect
134. #65245C22semidirect
135. #65245C22semidirect
136. #65245C22semidirect
137. #65245C22semidirect
138. #65245C22semidirect
139. #65245C22semidirect
140. #65245C22semidirect
141. #65245C22semidirect
142. #65245C22semidirect
144. #65244C22semidirect
145. #65244C22semidirect
146. #65240C22semidirect
147. #65240C22semidirect
148. #65239C22semidirect
149. #65235C22semidirect
150. #65234C22semidirect
151. #65233C22semidirect
152. #65233C22semidirect
153. #65229C22semidirect
154. #65228C22semidirect
155. C4×#685C22semidirect
156. C4×#685C22semidirect
157. #64966C22semidirect
158. #64964C22semidirect
159. #64962C22semidirect
160. #64962C22semidirect
161. #64961C22semidirect
162. #64961C22semidirect
165. #64959C22semidirect
166. #64959C22semidirect
167. #64958C22semidirect
168. #64958C22semidirect
169. #64957C22semidirect
170. #64957C22semidirect
175. #64954C22semidirect
176. #64954C22semidirect
177. #64954C22semidirect
178. #64954C22semidirect
179. #64953C22semidirect
180. #64953C22semidirect
181. D5×#95C22semidirect
182. D5×#95C22semidirect
183. #64944C22semidirect
184. #64942C22semidirect
185. #64941C22semidirect
186. #64940C22semidirect
187. #64939C22semidirect
188. #64935C22semidirect
353. #4039D4semidirect
416. #2443D5semidirect
592. C2×C4×D5C2×D4semidirect
603. C5×C4⋊C4C2×D4semidirect
660. #685C2×D4semidirect
678. C4×Dic5C2×D4semidirect
690. C2×#123C2×D5semidirect
718. C2×C4×D4C2×D5semidirect
719. C22×C4⋊C4C2×D5semidirect
729. #399C2×D5semidirect
730. #398C2×D5semidirect
733. #397C2×D5semidirect
746. #394C2×D5semidirect
773. #388C2×D5semidirect
779. #387C2×D5semidirect
807. #386C2×D5semidirect
818. #385C2×D5semidirect
819. #385C2×D5semidirect
1248. C22×C5#538semidirect
1503. C4⋊C4D4×D5semidirect
1766. C5#34990semidirect
1825. C22#65991semidirect

Maximal subgroups

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

subgroupindex
C2×#659912
C22×#40392
C5×#24432
#106146302
#106144542
#106144332
#106141382
C4×#40832
#106139062
#106098322
#106097842
#106096842
#106095522
#106094062
#106092732
#106088442
#106087112
#106075572
#106072392
#106067322
#106066762
#106066182
#106066152
D5×#3862
#106066012
#106066002
#106064582
#106063872
#106063252
#106061582
#106061442
#349905