Finite Group Databasebeta

← #12271973

Subgroups — #12271973

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×#65894C211yesmaximal, characteristic, complemented
2C2×C4×D4×D5C211yesmaximal, characteristic, complemented
3C5×#2318C211yesmaximal, characteristic, complemented
4#10607577C211yesmaximal, characteristic, complemented
5#10607258C211yesmaximal, characteristic, complemented
6#10607238C211yesmaximal, characteristic, complemented
7#10607234C211yesmaximal, characteristic, complemented
8#10607054C211yesmaximal, characteristic, complemented
9#10607050C211yesmaximal, characteristic, complemented
10#10606751C211yesmaximal, characteristic, complemented
11#10606732C211yesmaximal, characteristic, complemented
12#10606622C211yesmaximal, characteristic, complemented
13#10606619C211yesmaximal, characteristic, complemented
14#10606615C211yesmaximal, characteristic, complemented
15#10606437C211yesmaximal, characteristic, complemented
16#10606336C211yesmaximal, characteristic, complemented
17#10606332C211yesmaximal, characteristic, complemented
18#10606155C211yesmaximal, characteristic, complemented
19#10606144C211yesmaximal, characteristic, complemented
20#10606048C211yesmaximal, characteristic, complemented
21#10606040C211yesmaximal, characteristic, complemented
22#10605987C211yesmaximal, characteristic, complemented
23#10605976C211yesmaximal, characteristic, complemented
24#10605877C211yesmaximal, characteristic, complemented
25#10605868C211yesmaximal, characteristic, complemented
26#10605779C211yesmaximal, characteristic, complemented
27#10605765C211yesmaximal, characteristic, complemented
28#10605300C211yesmaximal, characteristic, complemented
29C4×#4028C211yesmaximal, characteristic, complemented
30C2×#64954C211yesmaximal, characteristic, complemented
31#10605064C211yesmaximal, characteristic, complemented
32C22×D4×D5C2211yescharacteristic
33C23×D20C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C23×C4×D5C2211yescharacteristic, complemented
36C2×C4×C5×D4C2211yescharacteristic
37C2×#4085C2211yescharacteristic
38C2×#4083C2211yescharacteristic
39C2×D4×Dic5C2211yescharacteristic
40C2×#4076C2211yescharacteristic
41C2×#4076C2211yescharacteristic, complemented
42C2×#4075C2211yescharacteristic, complemented
43C2×C4×C22⋊D5C2211yescharacteristic
44C2×C4×C22⋊D5C2211yescharacteristic, complemented
45C2×C4×C22⋊D5C2211yescharacteristic, complemented
46C22×#685C2211yescharacteristic
47C22×#685C2211yescharacteristic, complemented
48C22×#685C2211yescharacteristic, complemented
49#65894—28no—
50C4×D4×D5—28no—
51C2×#4044C2211yescharacteristic, complemented
52C2×#4043C2211yescharacteristic, complemented
53C2×#4041C2211yescharacteristic
54C2×#4041C2211yescharacteristic
55C2×#4041C2211yescharacteristic, complemented
56C2×#4040C2211yescharacteristic, complemented
57C2×#4039C2211yescharacteristic, complemented
58C2×D5×C4⋊C4C2211yescharacteristic, complemented
59C2×#4032C2211yescharacteristic, complemented
60C2×#4031C2211yescharacteristic, complemented
61C2×#4030C2211yescharacteristic, complemented
62C2×#4028C2211yescharacteristic
63C2×#4028C2211yescharacteristic
64C2×#4028C2211yescharacteristic
65C2×#4028C2211yescharacteristic
66C2×#4028C2211yescharacteristic, complemented
67C2×#4028C2211yescharacteristic, complemented
68C2×#4027C2211yescharacteristic
69C2×#4027C2211yescharacteristic, complemented
70C2×D5×C22⋊C4C2211yescharacteristic
71C2×D5×C22⋊C4C2211yescharacteristic, complemented
72C2×#4024C2211yescharacteristic, complemented
73C2×#4022C2211yescharacteristic, complemented
74C2×#4021C2211yescharacteristic, complemented
75C2×C4×D20C2211yescharacteristic, complemented
76C2×C4×D20C2211yescharacteristic, complemented
77C2×C4×D20C2211yescharacteristic, complemented
78C2×C42×D5C2211yescharacteristic, complemented
79C5×#388C2211yescharacteristic, complemented
80C5×#388C2211yescharacteristic, complemented
81C5×#387C2211yescharacteristic, complemented
82C5×#387C2211yescharacteristic, complemented
83C5×#386C2211yescharacteristic
84C5×#386C2211yescharacteristic
85C5×#385C2211yescharacteristic, complemented
86C5×#385C2211yescharacteristic, complemented
87C5×#383C2211yescharacteristic, complemented
88C5×#382C2211yescharacteristic, complemented
89C5×#381C2211yescharacteristic, complemented
90C5×#380C2211yescharacteristic, complemented
91C4×C5×C22⋊C4C2211yescharacteristic, complemented
92C2×C5×#95C2211yescharacteristic, complemented
93#65502C2211yescharacteristic
94#65502C2211yescharacteristic, complemented
95#65501C2211yescharacteristic, complemented
96C2×#3963C2211yescharacteristic, complemented
97#65283C2211yescharacteristic, complemented
98#65283C2211yescharacteristic, complemented
99#65283C2211yescharacteristic, complemented
100#65283C2211yescharacteristic, complemented
101#65280C2211yescharacteristic, complemented
102#65280C2211yescharacteristic, complemented
103#65280C2211yescharacteristic, complemented
104#65277C2211yescharacteristic, complemented
105#65276C2211yescharacteristic, complemented
106#65276C2211yescharacteristic, complemented
107#65272C2211yescharacteristic, complemented
108#65263C2211yescharacteristic, complemented
109#65250C2211yescharacteristic, complemented
110#65250C2211yescharacteristic, complemented
111#65250C2211yescharacteristic, complemented
112#65250C2211yescharacteristic, complemented
113#65249C2211yescharacteristic
114#65249C2211yescharacteristic
115#65249C2211yescharacteristic, complemented
116#65247C2211yescharacteristic
117#65247C2211yescharacteristic, complemented
118#65247C2211yescharacteristic, complemented
119#65247C2211yescharacteristic, complemented
120#65244C2211yescharacteristic
121#65244C2211yescharacteristic, complemented
122#65244C2211yescharacteristic, complemented
123#65242C2211yescharacteristic, complemented
124#65239C2211yescharacteristic, complemented
125#65239C2211yescharacteristic, complemented
126#65232C2211yescharacteristic, complemented
127#65229C2211yescharacteristic, complemented
128#65229C2211yescharacteristic, complemented
129#65228C2211yescharacteristic, complemented
130#65228C2211yescharacteristic, complemented
131C4×#685C2211yescharacteristic, complemented
132C4×#685C2211yescharacteristic, complemented
133#64966C2211yescharacteristic, complemented
134#64966C2211yescharacteristic, complemented
135#64963C2211yescharacteristic, complemented
136#64963C2211yescharacteristic, complemented
137#64962C2211yescharacteristic, complemented
138#64962C2211yescharacteristic, complemented
139#64961C2211yescharacteristic, complemented
140#64961C2211yescharacteristic, complemented
141#64960C2211yescharacteristic
142#64960C2211yescharacteristic
143#64960C2211yescharacteristic, complemented
144#64960C2211yescharacteristic, complemented
145#64960C2211yescharacteristic, complemented
146#64960C2211yescharacteristic, complemented
147#64959C2211yescharacteristic, complemented
148#64959C2211yescharacteristic, complemented
149#64959C2211yescharacteristic, complemented
150#64959C2211yescharacteristic, complemented
151#64959C2211yescharacteristic, complemented
152#64959C2211yescharacteristic, complemented
153#64959C2211yescharacteristic, complemented
154#64959C2211yescharacteristic, complemented
155#64957C2211yescharacteristic, complemented
156#64957C2211yescharacteristic, complemented
157#64957C2211yescharacteristic, complemented
158#64957C2211yescharacteristic, complemented
159#64957C2211yescharacteristic, complemented
160#64957C2211yescharacteristic, complemented
161#64957C2211yescharacteristic, complemented
162#64957C2211yescharacteristic, complemented
163#64954C2211yescharacteristic
164#64954C2211yescharacteristic
165#64954C2211yescharacteristic
166#64954C2211yescharacteristic
167#64954C2211yescharacteristic
168#64954C2211yescharacteristic
169#64954C2211yescharacteristic
170#64954C2211yescharacteristic
171#64954C2211yescharacteristic, complemented
172#64954C2211yescharacteristic, complemented
173#64954C2211yescharacteristic, complemented
174#64954C2211yescharacteristic, complemented
175#64954C2211yescharacteristic, complemented
176#64954C2211yescharacteristic, complemented
177#64954C2211yescharacteristic, complemented
178#64954C2211yescharacteristic, complemented
179#64954C2211yescharacteristic, complemented
180#64954C2211yescharacteristic, complemented
181#64954C2211yescharacteristic, complemented
182#64954C2211yescharacteristic, complemented
183#64948C2211yescharacteristic, complemented
184#64948C2211yescharacteristic, complemented
185#64942C2211yescharacteristic, complemented
186#64942C2211yescharacteristic, complemented
187#64942C2211yescharacteristic, complemented
188#64942C2211yescharacteristic, complemented
189#34990—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C24×D5C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C22×C22⋊D5C2311yescharacteristic
199C22×C22⋊D5C2311yescharacteristic
200C22×C22⋊D5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
202C22×C22⋊D5C2311yescharacteristic
203C22×C22⋊D5C2311yescharacteristic
204C23×Dic5C2311yescharacteristic
205C23×Dic5C2311yescharacteristic
206C23×Dic5C2311yescharacteristic
207C2×D4×D5—24no—
208C2×D4×D5—24no—
209C2×D4×D5—24no—
210C22×D20—24no—
211C22×D20—42no—
212C22×D20—42no—
213C22×D20C2311yescharacteristic
214C22×D20C2311yescharacteristic
215C22×D20C2311yescharacteristic
216C22×D20C2311yescharacteristic
217C22×D20C2311yescharacteristic
218C22×D20C2311yescharacteristic
219C22×D20C2311yescharacteristic
220C22×D20C2311yescharacteristic
221C22×D20C2311yescharacteristic
222C22×D20C2311yescharacteristic
223C22×D20C2311yescharacteristic
224C22×D20C2311yescharacteristic
225C22×C4×D5—24no—
226C22×C4×D5—24no—
227C22×C4×D5—42no—
228C22×C4×D5—42no—
229C22×C4×D5—42no—
230C22×C4×D5—42no—
231C22×C4×D5C2311yescharacteristic
232C22×C4×D5C2311yescharacteristic
233C22×C4×D5C2311yescharacteristic
234C22×C4×D5C2311yescharacteristic
235C22×C4×D5C2311yescharacteristic
236C22×C4×D5C2311yescharacteristic
237C22×C4×D5C2311yescharacteristic
238C22×C4×D5C2311yescharacteristic
239C22×C4×D5C2311yescharacteristic
240C22×C4×D5C2311yescharacteristic
241C22×Dic10C2311yescharacteristic
242C4×C5×D4D418yescomplemented
243C2×C5×C4⋊C4C2311yescharacteristic
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×C42×C5C2311yescharacteristic
257C2×C42×C5C2311yescharacteristic
258C2×C42×C5C2311yescharacteristic
259C2×C22⋊Dic5C2311yescharacteristic
260C2×C22⋊Dic5C2311yescharacteristic
261C2×C22⋊Dic5C2311yescharacteristic
262C2×C22⋊Dic5C2311yescharacteristic
263#4085—24no—
264#4083—24no—
265D4×Dic5—24no—
266#4076—24no—
267#4076—24no—
268#4075—24no—
269C4×C22⋊D5—24no—
270C4×C22⋊D5—24no—
271C4×C22⋊D5—24no—
272C2×#685—24no—
273C2×#685—42no—
274C2×#685—42no—
275C2×#685C2311yescharacteristic
276C2×#685C2311yescharacteristic
277C2×#685C2311yescharacteristic
278C2×#685C2311yescharacteristic
279C2×#685C2311yescharacteristic
280C2×#685C2311yescharacteristic
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×#685C2311yescharacteristic
285C2×#685C2311yescharacteristic
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#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×C4⋊Dic5C2311yescharacteristic
320C2×C4⋊Dic5C2311yescharacteristic
321C2×C4⋊Dic5C2311yescharacteristic
322C2×C4⋊Dic5C2311yescharacteristic
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×C4×Dic5C2311yescharacteristic
335C2×C4×Dic5C2311yescharacteristic
336C2×C4×Dic5C2311yescharacteristic
337C2×C4×Dic5C2311yescharacteristic
338#4044—24no—
339#4043—42no—
340#4041—42no—
341#4041—42no—
342#4041—42no—
343#4040—24no—
344#4039—24no—
345D5×C4⋊C4—24no—
346#4032—42no—
347#4031—24no—
348#4030—24no—
349#4028—24no—
350#4028—24no—
351#4028—24no—
352#4028—42no—
353#4028—42no—
354#4028—42no—
355#4027—24no—
356#4027—24no—
357D5×C22⋊C4—24no—
358D5×C22⋊C4—24no—
359#4024—24no—
360#4022—24no—
361#4021—24no—
362C4×D20—24no—
363C4×D20—42no—
364C4×D20—42no—
365C42×D5—24no—
366C5×#95C2311yescharacteristic
367C5×#95C2311yescharacteristic
368C5×#95C2311yescharacteristic
369C5×#95C2311yescharacteristic
370C5×#95C2311yescharacteristic
371C5×#95C2311yescharacteristic
372C5×#95C2311yescharacteristic
373C5×#95C2311yescharacteristic
374C5×#95C2311yescharacteristic
375C5×#95C2311yescharacteristic
376C5×#95C2311yescharacteristic
377C5×#95C2311yescharacteristic
378C5×#95C2311yescharacteristic
379C5×#95C2311yescharacteristic
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#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#2318D511yescharacteristic, complemented
427C4×#120—51no—
428C2×#386—51no—
429C24×C5C2411yescharacteristic
430C24×C5C2411yescharacteristic
431C23×D5—22no—
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—41no—
444C23×D5—41no—
445C23×D5—41no—
446C23×D5—41no—
447C23×D5—41no—
448C23×D5—41no—
449C23×D5—41no—
450C23×D5—41no—
451C23×D5#4114yes—
452C23×D5C2411yescharacteristic
453C23×D5C2411yescharacteristic
454C23×D5C2411yescharacteristic
455C23×D5C2411yescharacteristic
456C23×D5C2411yescharacteristic
457C23×D5C2411yescharacteristic
458C2×C5×D4—22no—
459C2×C5×D4—22no—
460C2×C5×D4C2×D414yes—
461C22×C4×C5—22no—
462C22×C4×C5—22no—
463C22×C4×C5—41no—
464C22×C4×C5—41no—
465C22×C4×C5—41no—
466C22×C4×C5—41no—
467C22×C4×C5—41no—
468C22×C4×C5—41no—
469C22×C4×C5—41no—
470C22×C4×C5—41no—
471C22×C4×C5C2×D414yes—
472C22×C4×C5C2×D414yescomplemented
473C22×C4×C5C2411yescharacteristic
474C22×C4×C5C2411yescharacteristic
475C22×C4×C5C2411yescharacteristic
476C22×C4×C5C2411yescharacteristic
477C22×C4×C5C2411yescharacteristic
478C22×C4×C5C2411yescharacteristic
479C22×C4×C5C2411yescharacteristic
480C22×C4×C5C2411yescharacteristic
481C22×C4×C5C2411yescharacteristic
482C22×C4×C5C2411yescharacteristic
483C22×C4×C5C2411yescharacteristic
484C22×C4×C5C2411yescharacteristic
485C22×C4×C5C2411yescharacteristic
486C2×C22⋊D5—22no—
487C2×C22⋊D5—22no—
488C2×C22⋊D5—22no—
489C2×C22⋊D5—22no—
490C2×C22⋊D5—22no—
491C2×C22⋊D5—22no—
492C2×C22⋊D5—22no—
493C2×C22⋊D5—22no—
494C2×C22⋊D5—22no—
495C2×C22⋊D5—22no—
496C2×C22⋊D5—22no—
497C2×C22⋊D5—41no—
498C2×C22⋊D5—41no—
499C2×C22⋊D5—41no—
500C2×C22⋊D5—41no—
501C2×C22⋊D5—41no—
502C2×C22⋊D5—41no—
503C2×C22⋊D5#4114yes—
504C22×Dic5—22no—
505C22×Dic5—22no—
506C22×Dic5—22no—
507C22×Dic5—22no—
508C22×Dic5—22no—
509C22×Dic5—41no—
510C22×Dic5—41no—
511C22×Dic5—41no—
512C22×Dic5—41no—
513C22×Dic5C2411yescharacteristic
514C22×Dic5C2411yescharacteristic
515C22×Dic5C2411yescharacteristic
516C22×Dic5C2411yescharacteristic
517C22×Dic5C2411yescharacteristic
518C22×Dic5C2411yescharacteristic
519C22×Dic5C2411yescharacteristic
520C22×Dic5C2411yescharacteristic
521C22×Dic5C2411yescharacteristic
522C22×Dic5C2411yescharacteristic
523D4×D5—232no—
524C2×D20—22no—
525C2×D20—22no—
526C2×D20—22no—
527C2×D20—22no—
528C2×D20—22no—
529C2×D20—22no—
530C2×D20—22no—
531C2×D20—22no—
532C2×D20—22no—
533C2×D20—22no—
534C2×D20—22no—
535C2×D20—22no—
536C2×D20—22no—
537C2×D20—22no—
538C2×D20—22no—
539C2×D20—22no—
540C2×D20—22no—
541C2×D20—22no—
542C2×D20—22no—
543C2×D20—22no—
544C2×D20—41no—
545C2×D20—41no—
546C2×D20—41no—
547C2×D20—41no—
548C2×D20—41no—
549C2×D20—41no—
550C2×D20—416no—
551C2×D20—41no—
552C2×D20—41no—
553C2×D20—41no—
554C2×D20—41no—
555C2×D20—41no—
556C2×D20—41no—
557C2×D20—41no—
558C2×D20—41no—
559C2×D20—41no—
560C2×D20—41no—
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—22no—
576C2×C4×D5—22no—
577C2×C4×D5—22no—
578C2×C4×D5—22no—
579C2×C4×D5—22no—
580C2×C4×D5—416no—
581C2×C4×D5—416no—
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×D5—41no—
593C2×Dic10—22no—
594C2×Dic10—41no—
595C2×Dic10—41no—
596C5×C4⋊C4—41no—
597C5×C4⋊C4—41no—
598C5×C4⋊C4—41no—
599C5×C4⋊C4—41no—
600C5×C4⋊C4C2×D414yescomplemented
601C5×C22⋊C4—22no—
602C5×C22⋊C4—22no—
603C5×C22⋊C4—41no—
604C5×C22⋊C4—41no—
605C5×C22⋊C4—41no—
606C5×C22⋊C4—41no—
607C5×C22⋊C4C2×D414yes—
608C5×C22⋊C4C2×D414yescomplemented
609C42×C5—41no—
610C42×C5—41no—
611C42×C5C2×D414yescomplemented
612C22⋊Dic5—22no—
613C22⋊Dic5—22no—
614C22⋊Dic5—22no—
615C22⋊Dic5—22no—
616#685—22no—
617#685—22no—
618#685—22no—
619#685—22no—
620#685—22no—
621#685—22no—
622#685—22no—
623#685—22no—
624#685—22no—
625#685—22no—
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—41no—
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#685—41no—
660C4⋊Dic5—22no—
661C4⋊Dic5—22no—
662C4⋊Dic5—22no—
663C4⋊Dic5—22no—
664C4⋊Dic5—41no—
665C4⋊Dic5—41no—
666C4⋊Dic5—41no—
667C4⋊Dic5—41no—
668C4⋊Dic5—41no—
669#683—22no—
670#683—22no—
671#683—22no—
672#683—22no—
673#683—22no—
674#683—22no—
675C4×Dic5—22no—
676C4×Dic5—22no—
677C4×Dic5—22no—
678C4×Dic5—22no—
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×#121—51no—
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
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#400—51no—
728#399—51no—
729#399—51no—
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#394—51no—
745#394—51no—
746#394—51no—
747#393—51no—
748#393—51no—
749#392—51no—
750#392—51no—
751#392—51no—
752#392—51no—
753#392—51no—
754#392—51no—
755#392—51no—
756#392—51no—
757#392—51no—
758#391—51no—
759#390—51no—
760#390—51no—
761#390—51no—
762#388—51no—
763#388—51no—
764#388—51no—
765#388—51no—
766#388—51no—
767#388—51no—
768#388—51no—
769#388—51no—
770#388—51no—
771#388—51no—
772#388C2×D511yescharacteristic, complemented
773#388C2×D511yescharacteristic, complemented
774#387—51no—
775#387—51no—
776#387—51no—
777#387—51no—
778#387C2×D511yescharacteristic, complemented
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#386—51no—
806#386C2×D511yescharacteristic
807#386C2×D511yescharacteristic
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#383C2×D511yescharacteristic, complemented
821#382C2×D511yescharacteristic, complemented
822#381—51no—
823#381C2×D511yescharacteristic, complemented
824#380—51no—
825#380—51no—
826#380—51no—
827#380C2×D511yescharacteristic, complemented
828#379—51no—
829#379—51no—
830#379—51no—
831C4×C22⋊C4—51no—
832C4×C22⋊C4—51no—
833C4×C22⋊C4C2×D511yescharacteristic, complemented
834C2×#95—51no—
835C2×#95C2×D511yescharacteristic, complemented
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×C5C22×D412yes—
847C23×C5C22×D412yes—
848C23×C5C2×#4112yes—
849C23×C5C2×#4112yes—
850C23×C5C2511yescharacteristic
851C22×D5—21no—
852C22×D5—21no—
853C22×D5—21no—
854C22×D5—21no—
855C22×D5—28no—
856C22×D5—28no—
857C22×D5—21no—
858C22×D5—21no—
859C22×D5—21no—
860C22×D5—21no—
861C22×D5—21no—
862C22×D5—21no—
863C22×D5—21no—
864C22×D5—21no—
865C22×D5—21no—
866C22×D5—21no—
867C22×D5—21no—
868C22×D5—21no—
869C22×D5—28no—
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—21no—
883C22×D5—21no—
884C22×D5—21no—
885C22×D5—21no—
886C22×D5—21no—
887C22×D5—21no—
888C22×D5—21no—
889C22×D5—21no—
890C22×D5—21no—
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—44no—
905C22×D5—82no—
906C22×D5—82no—
907C22×D5—82no—
908C22×D5—82no—
909C22×D5C2×#4112yes—
910C22×D5C2×#4112yes—
911C22×D5C2×#4112yes—
912C22×D5H(5,𝔽2)12yes—
913C22×D5H(5,𝔽2)12yes—
914C5×D4—28no—
915C2×C4×C5—21no—
916C2×C4×C5—21no—
917C2×C4×C5—21no—
918C2×C4×C5—21no—
919C2×C4×C5—21no—
920C2×C4×C5—21no—
921C2×C4×C5—21no—
922C2×C4×C5—21no—
923C2×C4×C5—21no—
924C2×C4×C5—21no—
925C2×C4×C5—21no—
926C2×C4×C5—21no—
927C2×C4×C5—21no—
928C2×C4×C5—21no—
929C2×C4×C5—21no—
930C2×C4×C5—21no—
931C2×C4×C5—21no—
932C2×C4×C5—21no—
933C2×C4×C5—21no—
934C2×C4×C5—21no—
935C2×C4×C5—21no—
936C2×C4×C5—21no—
937C2×C4×C5—21no—
938C2×C4×C5—21no—
939C2×C4×C5—21no—
940C2×C4×C5—21no—
941C2×C4×C5—21no—
942C2×C4×C5—21no—
943C2×C4×C5—21no—
944C2×C4×C5—21no—
945C2×C4×C5—21no—
946C2×C4×C5—21no—
947C2×C4×C5—21no—
948C2×C4×C5—21no—
949C2×C4×C5—44no—
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×C5C22×D412yes—
957C2×C4×C5C22×D412yes—
958C22⋊D5—28no—
959C22⋊D5—28no—
960C22⋊D5—44no—
961C22⋊D5—82no—
962C22⋊D5—82no—
963C22⋊D5—82no—
964C2×Dic5—21no—
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—44no—
993C2×Dic5—44no—
994C2×Dic5—82no—
995C2×Dic5C2×#4112yes—
996C2×Dic5H(5,𝔽2)12yes—
997D20—28no—
998D20—44no—
999D20—44no—
1000D20—44no—
1001D20—44no—
1002D20—44no—
1003D20—44no—
1004D20—82no—
1005D20—82no—
1006D20—82no—
1007D20—82no—
1008D20—82no—
1009C4×D5—28no—
1010C4×D5—28no—
1011C4×D5—44no—
1012C4×D5—44no—
1013C4×D5—44no—
1014C4×D5—44no—
1015C4×D5—44no—
1016C4×D5—44no—
1017C4×D5—44no—
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—51no—
1041C22×D4—51no—
1042C22×D4—104no—
1043C22×D4—104no—
1044C22×D4—104no—
1045C22×D4—104no—
1046C22×D4—202no—
1047C22×D4—202no—
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—104no—
1077#123—104no—
1078#123—202no—
1079C22⋊Q8—104no—
1080C22⋊Q8—202no—
1081#121—104no—
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—104no—
1096C4×D4—104no—
1097C4×D4—104no—
1098C4×D4—104no—
1099C4×D4—104no—
1100C4×D4—104no—
1101C4×D4—104no—
1102C4×D4—104no—
1103C4×D4—202no—
1104C4×D4—202no—
1105C4×D4D2018yescomplemented
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—104no—
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—51no—
1173C2×C22⋊C4—51no—
1174C2×C22⋊C4—51no—
1175C2×C22⋊C4—104no—
1176C2×C22⋊C4—104no—
1177C2×C22⋊C4—104no—
1178C2×C22⋊C4—202no—
1179C2×C22⋊C4—202no—
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—104no—
1193C2×C42C22×D511yescharacteristic
1194C2×C42C22×D511yescharacteristic
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#95C22×D511yescharacteristic
1215#95C22×D511yescharacteristic
1216#95C22×D511yescharacteristic
1217#95C22×D511yescharacteristic
1218#95C22×D511yescharacteristic
1219#95C22×D511yescharacteristic
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—22no—
1235C22×C5—22no—
1236C22×C5—22no—
1237C22×C5—41no—
1238C22×C5—41no—
1239C22×C5—41no—
1240C22×C5—41no—
1241C22×C5#52514yes—
1242C22×C5C23×D411yescharacteristic
1243C22×C5C22×#4111yescharacteristic
1244C22×C5C22×#4111yescharacteristic
1245C22×C5C2×H(5,𝔽2)11yescharacteristic
1246C22×C5C2×H(5,𝔽2)11yescharacteristic
1247C22×C5C2×H(5,𝔽2)11yescharacteristic
1248C22×C5#58511yescharacteristic
1249C2×D5—22no—
1250C2×D5—22no—
1251C2×D5—22no—
1252C2×D5—22no—
1253C2×D5—22no—
1254C2×D5—22no—
1255C2×D5—22no—
1256C2×D5—22no—
1257C2×D5—22no—
1258C2×D5—22no—
1259C2×D5—22no—
1260C2×D5—22no—
1261C2×D5—416no—
1262C2×D5—416no—
1263C2×D5—41no—
1264C2×D5—41no—
1265C2×D5—41no—
1266C2×D5—41no—
1267C2×D5—41no—
1268C2×D5—41no—
1269C2×D5—41no—
1270C2×D5—41no—
1271C2×D5—41no—
1272C2×D5—41no—
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#53814yescomplemented
1294C4×C5—22no—
1295C4×C5—22no—
1296C4×C5—22no—
1297C4×C5—22no—
1298C4×C5—22no—
1299C4×C5—41no—
1300C4×C5—41no—
1301C4×C5—41no—
1302C4×C5—41no—
1303C4×C5—41no—
1304C4×C5—41no—
1305C4×C5—41no—
1306C4×C5—41no—
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—51no—
1323C24—51no—
1324C24—102no—
1325C24—102no—
1326C24—102no—
1327C24—102no—
1328C24—102no—
1329C24—102no—
1330C24—102no—
1331C24—102no—
1332C24—102no—
1333C24—102no—
1334C24—102no—
1335C24—102no—
1336C24—201no—
1337C24—201no—
1338C24—201no—
1339C24—201no—
1340C24—201no—
1341C24—201no—
1342C24—201no—
1343C24—201no—
1344C24C23×D511yescharacteristic
1345C24C23×D511yescharacteristic
1346C2×Q8—102no—
1347C2×Q8—201no—
1348C2×Q8—201no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—54no—
1352C2×D4—102no—
1353C2×D4—102no—
1354C2×D4—102no—
1355C2×D4—102no—
1356C2×D4—102no—
1357C2×D4—102no—
1358C2×D4—102no—
1359C2×D4—102no—
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—102no—
1369C2×D4—102no—
1370C2×D4—1032no—
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—201no—
1385C2×D4—201no—
1386C2×D4—201no—
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—2016no—
1401C2×D4—201no—
1402C2×D4—201no—
1403C2×D4—201no—
1404C2×D4—201no—
1405C2×D4—201no—
1406C2×D4—201no—
1407C2×D4C2×D2014yes—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—51no—
1419C22×C4—51no—
1420C22×C4—51no—
1421C22×C4—51no—
1422C22×C4—51no—
1423C22×C4—51no—
1424C22×C4—51no—
1425C22×C4—51no—
1426C22×C4—51no—
1427C22×C4—51no—
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—102no—
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—2016no—
1464C22×C4—2016no—
1465C22×C4—201no—
1466C22×C4—201no—
1467C22×C4—201no—
1468C22×C4—201no—
1469C22×C4C2×D2014yes—
1470C22×C4C2×D2014yescomplemented
1471C22×C4C23×D511yescharacteristic
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—41no—
1485C4⋊C4—41no—
1486C4⋊C4—41no—
1487C4⋊C4—41no—
1488C4⋊C4—102no—
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—102no—
1498C4⋊C4—201no—
1499C4⋊C4—201no—
1500C4⋊C4—201no—
1501C4⋊C4—201no—
1502C4⋊C4—201no—
1503C4⋊C4C2×D2014yescomplemented
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—102no—
1511C22⋊C4—102no—
1512C22⋊C4—102no—
1513C22⋊C4—102no—
1514C22⋊C4—102no—
1515C22⋊C4—102no—
1516C22⋊C4—102no—
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—201no—
1542C22⋊C4—201no—
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⋊C4C2×D2014yes—
1559C22⋊C4C2×D2014yescomplemented
1560C42—41no—
1561C42—41no—
1562C42—102no—
1563C42—102no—
1564C42—102no—
1565C42—102no—
1566C42C2×D2014yescomplemented
1567C2×C5—24no—
1568C2×C5—42no—
1569C2×C5C2×#52511yescharacteristic
1570C2×C5C2×#53811yescharacteristic
1571C2×C5#345911yescharacteristic
1572C2×C5#348411yescharacteristic
1573C2×C5#348811yescharacteristic
1574C2×C5#351311yescharacteristic
1575C2×C5#351911yescharacteristic
1576D5—24no—
1577D5—42no—
1578D5—42no—
1579D5—81no—
1580D5—81no—
1581D5—81no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—52no—
1593C23—52no—
1594C23—52no—
1595C23—52no—
1596C23—52no—
1597C23—108no—
1598C23—108no—
1599C23—101no—
1600C23—101no—
1601C23—101no—
1602C23—101no—
1603C23—108no—
1604C23—101no—
1605C23—101no—
1606C23—101no—
1607C23—101no—
1608C23—101no—
1609C23—101no—
1610C23—101no—
1611C23—101no—
1612C23—101no—
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—204no—
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—402no—
1652C23—402no—
1653C23—402no—
1654C23—402no—
1655C23C22×D2012yes—
1656C23C22×D2012yes—
1657C23D5×#4112yes—
1658C23D5×#4112yes—
1659C23C24×D511yescharacteristic
1660Q8—402no—
1661D4—28no—
1662D4—108no—
1663D4—108no—
1664D4—108no—
1665D4—204no—
1666D4—204no—
1667D4—204no—
1668D4—204no—
1669D4—204no—
1670D4—204no—
1671D4—204no—
1672D4—402no—
1673D4—402no—
1674D4—402no—
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—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—52no—
1718C2×C4—52no—
1719C2×C4—82no—
1720C2×C4—108no—
1721C2×C4—108no—
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—402no—
1760C2×C4—402no—
1761C2×C4C22×D2012yes—
1762C2×C4C22×D2012yes—
1763C2×C4C22×D2012yes—
1764C2×C4C22×D2012yes—
1765C2×C4C22×D2012yes—
1766C5#3499011yescharacteristic, complemented, Sylow
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—54no—
1781C22—102no—
1782C22—102no—
1783C22—102no—
1784C22—102no—
1785C22—102no—
1786C22—102no—
1787C22—102no—
1788C22—102no—
1789C22—102no—
1790C22—102no—
1791C22—102no—
1792C22—102no—
1793C22—2016no—
1794C22—2016no—
1795C22—201no—
1796C22—201no—
1797C22—201no—
1798C22—201no—
1799C22—201no—
1800C22—201no—
1801C22—201no—
1802C22—201no—
1803C22—201no—
1804C22—201no—
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#6585814yes—
1826C22C23×D2011yescharacteristic
1827C22C2×D5×#4111yescharacteristic
1828C22C2×D5×#4111yescharacteristic
1829C22D5×H(5,𝔽2)11yescharacteristic
1830C22D5×H(5,𝔽2)11yescharacteristic
1831C22D5×H(5,𝔽2)11yescharacteristic
1832C22#6628711yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—102no—
1847C4—102no—
1848C4—201no—
1849C4—201no—
1850C4—201no—
1851C4—201no—
1852C4—201no—
1853C4—201no—
1854C4—201no—
1855C4—201no—
1856C2—24no—
1857C2—42no—
1858C2—104no—
1859C2—202no—
1860C2—202no—
1861C2—401no—
1862C2—401no—
1863C2—401no—
1864C2C2×#6585811yescharacteristic
1865C2#1061776811yescharacteristic
1866C2#1061780111yescharacteristic
1867C2D5×#53811yescharacteristic
1868C2#1061831811yescharacteristic
1869C2#1061832911yescharacteristic
1870C2#1061835611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2318C2
hypercenter#2318D5
hypocenterC5#34990
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
1. C2×#65894C2semidirect
2. C2×C4×D4×D5C2semidirect
3. C5×#2318C2semidirect
4. #10607577C2semidirect
5. #10607258C2semidirect
6. #10607238C2semidirect
7. #10607234C2semidirect
8. #10607054C2semidirect
9. #10607050C2semidirect
10. #10606751C2semidirect
11. #10606732C2semidirect
12. #10606622C2semidirect
13. #10606619C2semidirect
14. #10606615C2semidirect
15. #10606437C2semidirect
16. #10606336C2semidirect
17. #10606332C2semidirect
18. #10606155C2semidirect
19. #10606144C2semidirect
20. #10606048C2semidirect
21. #10606040C2semidirect
22. #10605987C2semidirect
23. #10605976C2semidirect
24. #10605877C2semidirect
25. #10605868C2semidirect
26. #10605779C2semidirect
27. #10605765C2semidirect
28. #10605300C2semidirect
29. C4×#4028C2semidirect
30. C2×#64954C2semidirect
31. #10605064C2semidirect
35. C23×C4×D5C22semidirect
41. C2×#4076C22semidirect
42. C2×#4075C22semidirect
44. C2×C4×C22⋊D5C22semidirect
45. C2×C4×C22⋊D5C22semidirect
47. C22×#685C22semidirect
48. C22×#685C22semidirect
51. C2×#4044C22semidirect
52. C2×#4043C22semidirect
55. C2×#4041C22semidirect
56. C2×#4040C22semidirect
57. C2×#4039C22semidirect
58. C2×D5×C4⋊C4C22semidirect
59. C2×#4032C22semidirect
60. C2×#4031C22semidirect
61. C2×#4030C22semidirect
66. C2×#4028C22semidirect
67. C2×#4028C22semidirect
69. C2×#4027C22semidirect
71. C2×D5×C22⋊C4C22semidirect
72. C2×#4024C22semidirect
73. C2×#4022C22semidirect
74. C2×#4021C22semidirect
75. C2×C4×D20C22semidirect
76. C2×C4×D20C22semidirect
77. C2×C4×D20C22semidirect
78. C2×C42×D5C22semidirect
79. C5×#388C22semidirect
80. C5×#388C22semidirect
81. C5×#387C22semidirect
82. C5×#387C22semidirect
85. C5×#385C22semidirect
86. C5×#385C22semidirect
87. C5×#383C22semidirect
88. C5×#382C22semidirect
89. C5×#381C22semidirect
90. C5×#380C22semidirect
91. C4×C5×C22⋊C4C22semidirect
92. C2×C5×#95C22semidirect
94. #65502C22semidirect
95. #65501C22semidirect
96. C2×#3963C22semidirect
97. #65283C22semidirect
98. #65283C22semidirect
99. #65283C22semidirect
100. #65283C22semidirect
101. #65280C22semidirect
102. #65280C22semidirect
103. #65280C22semidirect
104. #65277C22semidirect
105. #65276C22semidirect
106. #65276C22semidirect
107. #65272C22semidirect
108. #65263C22semidirect
109. #65250C22semidirect
110. #65250C22semidirect
111. #65250C22semidirect
112. #65250C22semidirect
115. #65249C22semidirect
117. #65247C22semidirect
118. #65247C22semidirect
119. #65247C22semidirect
121. #65244C22semidirect
122. #65244C22semidirect
123. #65242C22semidirect
124. #65239C22semidirect
125. #65239C22semidirect
126. #65232C22semidirect
127. #65229C22semidirect
128. #65229C22semidirect
129. #65228C22semidirect
130. #65228C22semidirect
131. C4×#685C22semidirect
132. C4×#685C22semidirect
133. #64966C22semidirect
134. #64966C22semidirect
135. #64963C22semidirect
136. #64963C22semidirect
137. #64962C22semidirect
138. #64962C22semidirect
139. #64961C22semidirect
140. #64961C22semidirect
143. #64960C22semidirect
144. #64960C22semidirect
145. #64960C22semidirect
146. #64960C22semidirect
147. #64959C22semidirect
148. #64959C22semidirect
149. #64959C22semidirect
150. #64959C22semidirect
151. #64959C22semidirect
152. #64959C22semidirect
153. #64959C22semidirect
154. #64959C22semidirect
155. #64957C22semidirect
156. #64957C22semidirect
157. #64957C22semidirect
158. #64957C22semidirect
159. #64957C22semidirect
160. #64957C22semidirect
161. #64957C22semidirect
162. #64957C22semidirect
171. #64954C22semidirect
172. #64954C22semidirect
173. #64954C22semidirect
174. #64954C22semidirect
175. #64954C22semidirect
176. #64954C22semidirect
177. #64954C22semidirect
178. #64954C22semidirect
179. #64954C22semidirect
180. #64954C22semidirect
181. #64954C22semidirect
182. #64954C22semidirect
183. #64948C22semidirect
184. #64948C22semidirect
185. #64942C22semidirect
186. #64942C22semidirect
187. #64942C22semidirect
188. #64942C22semidirect
242. C4×C5×D4D4semidirect
426. #2318D5semidirect
472. C22×C4×C5C2×D4semidirect
600. C5×C4⋊C4C2×D4semidirect
608. C5×C22⋊C4C2×D4semidirect
611. C42×C5C2×D4semidirect
772. #388C2×D5semidirect
773. #388C2×D5semidirect
778. #387C2×D5semidirect
779. #387C2×D5semidirect
818. #385C2×D5semidirect
819. #385C2×D5semidirect
820. #383C2×D5semidirect
821. #382C2×D5semidirect
823. #381C2×D5semidirect
827. #380C2×D5semidirect
833. C4×C22⋊C4C2×D5semidirect
835. C2×#95C2×D5semidirect
1105. C4×D4D20semidirect
1293. C2×D5#538semidirect
1470. C22×C4C2×D20semidirect
1503. C4⋊C4C2×D20semidirect
1559. C22⋊C4C2×D20semidirect
1566. C42C2×D20semidirect
1766. C5#34990semidirect

Maximal subgroups

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

subgroupindex
C2×#658942
C2×C4×D4×D52
C5×#23182
#106075772
#106072582
#106072382
#106072342
#106070542
#106070502
#106067512
#106067322
#106066222
#106066192
#106066152
#106064372
#106063362
#106063322
#106061552
#106061442
#106060482
#106060402
#106059872
#106059762
#106058772
#106058682
#106057792
#106057652
#106053002
C4×#40282
C2×#649542
#106050642
#349905