Finite Group Databasebeta

← #12307607

Subgroups — #12307607

Order 1280.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2743C211yesmaximal, characteristic, complemented
2#10610104C211yesmaximal, characteristic, complemented
3#10610102C211yesmaximal, characteristic, complemented
4#10610094C211yesmaximal, characteristic, complemented
5#10610093C211yesmaximal, characteristic, complemented
6#10610075C211yesmaximal, characteristic, complemented
7#10610021C211yesmaximal, characteristic, complemented
8#10609832C211yesmaximal, characteristic, complemented
9#10609808C211yesmaximal, characteristic, complemented
10#10609149C211yesmaximal, characteristic, complemented
11#10609079C211yesmaximal, characteristic, complemented
12#10608839C211yesmaximal, characteristic
13#10608741C211yesmaximal, characteristic, complemented
14#10607557C211yesmaximal, characteristic, complemented
15#10607407C211yesmaximal, characteristic, complemented
16#10607400C211yesmaximal, characteristic, complemented
17#10607270C211yesmaximal, characteristic, complemented
18#10607072C211yesmaximal, characteristic, complemented
19#10606881C211yesmaximal, characteristic, complemented
20D5×#386C211yesmaximal, characteristic, complemented
21#10606549C211yesmaximal, characteristic, complemented
22#10606535C211yesmaximal, characteristic, complemented
23#10606417C211yesmaximal, characteristic, complemented
24#10606386C211yesmaximal, characteristic, complemented
25#10606368C211yesmaximal, characteristic, complemented
26#10605877C211yesmaximal, characteristic, complemented
27#10605873C211yesmaximal, characteristic, complemented
28#10605857C211yesmaximal, characteristic, complemented
29#10605838C211yesmaximal, characteristic, complemented
30#10605736C211yesmaximal, characteristic, complemented
31#10605695C211yesmaximal, characteristic, complemented
32C22×D4×D5C2211yescharacteristic
33C23×C4×D5C2211yescharacteristic
34C2×#4081C2211yescharacteristic
35C2×#4075C2211yescharacteristic, complemented
36C2×#4075C2211yescharacteristic, complemented
37C22×#685C2211yescharacteristic
38C2×#4043C2211yescharacteristic, complemented
39C2×#4042C2211yescharacteristic
40C2×#4042C2211yescharacteristic, complemented
41C2×#4041C2211yescharacteristic
42C2×#4040C2211yescharacteristic, complemented
43C2×#4039C2211yescharacteristic
44C2×#4032C2211yescharacteristic
45C2×#4032C2211yescharacteristic, complemented
46C2×#4030C2211yescharacteristic
47C2×#4028C2211yescharacteristic
48C2×#4028C2211yescharacteristic
49C2×D5×C22⋊C4C2211yescharacteristic
50C2×D5×C22⋊C4C2211yescharacteristic
51C2×D5×C22⋊C4C2211yescharacteristic
52C2×D5×C22⋊C4C2211yescharacteristic
53C2×#4024C2211yescharacteristic, complemented
54C2×#4022C2211yescharacteristic, complemented
55C5×#400C2211yescharacteristic, complemented
56C5×#400C2211yescharacteristic, complemented
57C5×#400C2211yescharacteristic, complemented
58C5×#399C2211yescharacteristic, complemented
59C5×#396C2211yescharacteristic, complemented
60C5×#394C2211yescharacteristic
61C5×#388C2211yescharacteristic, complemented
62C5×#388C2211yescharacteristic, complemented
63C5×#387C2211yescharacteristic, complemented
64C5×#386C2211yescharacteristic
65C5×#386C2211yescharacteristic
66C5×#385C2211yescharacteristic, complemented
67C5×#381C2211yescharacteristic, complemented
68C5×#381C2211yescharacteristic, complemented
69C5×#380C2211yescharacteristic, complemented
70#65512C2211yescharacteristic
71#65509C2211yescharacteristic
72#65502C2211yescharacteristic
73#65502C2211yescharacteristic
74#65501C2211yescharacteristic, complemented
75#65499C2211yescharacteristic, complemented
76#65283C2211yescharacteristic, complemented
77#65282C2211yescharacteristic, complemented
78#65282C2211yescharacteristic, complemented
79#65282C2211yescharacteristic, complemented
80#65280C2211yescharacteristic, complemented
81#65279C2211yescharacteristic, complemented
82#65278C2211yescharacteristic
83#65278C2211yescharacteristic
84#65278C2211yescharacteristic
85#65278C2211yescharacteristic
86#65278C2211yescharacteristic, complemented
87#65278C2211yescharacteristic, complemented
88#65278C2211yescharacteristic, complemented
89#65278C2211yescharacteristic, complemented
90#65278C2211yescharacteristic, complemented
91#65276C2211yescharacteristic
92#65276C2211yescharacteristic, complemented
93#65275C2211yescharacteristic, complemented
94#65273C2211yescharacteristic, complemented
95#65273C2211yescharacteristic, complemented
96#65269C2211yescharacteristic, complemented
97#65267C2211yescharacteristic, complemented
98#65250C2211yescharacteristic
99#65250C2211yescharacteristic
100#65250C2211yescharacteristic, complemented
101#65249C2211yescharacteristic
102#65248C2211yescharacteristic
103#65247C2211yescharacteristic
104#65247C2211yescharacteristic, complemented
105#65246C2211yescharacteristic, complemented
106#65245C2211yescharacteristic
107#65245C2211yescharacteristic
108#65245C2211yescharacteristic
109#65245C2211yescharacteristic, complemented
110#65245C2211yescharacteristic, complemented
111#65244C2211yescharacteristic
112#65244C2211yescharacteristic
113#65244C2211yescharacteristic
114#65244C2211yescharacteristic
115#65241C2211yescharacteristic, complemented
116#65240C2211yescharacteristic, complemented
117#65238C2211yescharacteristic, complemented
118#65237C2211yescharacteristic, complemented
119#65237C2211yescharacteristic, complemented
120#65236C2211yescharacteristic, complemented
121#65235C2211yescharacteristic, complemented
122#65234C2211yescharacteristic, complemented
123#65233C2211yescharacteristic, complemented
124#65232C2211yescharacteristic, complemented
125#65231C2211yescharacteristic, complemented
126#65231C2211yescharacteristic, complemented
127#65231C2211yescharacteristic, complemented
128#65228C2211yescharacteristic, complemented
129C4×#685C2211yescharacteristic
130#65217C2211yescharacteristic, complemented
131#64965C2211yescharacteristic, complemented
132#64964C2211yescharacteristic, complemented
133#64964C2211yescharacteristic, complemented
134#64964C2211yescharacteristic, complemented
135#64964C2211yescharacteristic, complemented
136#64963C2211yescharacteristic, complemented
137#64962C2211yescharacteristic, complemented
138#64961C2211yescharacteristic
139#64961C2211yescharacteristic
140#64961C2211yescharacteristic, complemented
141#64961C2211yescharacteristic, complemented
142#64959C2211yescharacteristic, complemented
143#64958C2211yescharacteristic, complemented
144#64958C2211yescharacteristic, complemented
145#64957C2211yescharacteristic
146#64957C2211yescharacteristic
147#64957C2211yescharacteristic
148#64957C2211yescharacteristic
149#64957C2211yescharacteristic
150#64957C2211yescharacteristic
151#64957C2211yescharacteristic, complemented
152#64957C2211yescharacteristic, complemented
153#64957C2211yescharacteristic, complemented
154#64957C2211yescharacteristic, complemented
155#64957C2211yescharacteristic, complemented
156#64957C2211yescharacteristic, complemented
157#64956C2211yescharacteristic
158#64956C2211yescharacteristic
159#64956C2211yescharacteristic, complemented
160#64956C2211yescharacteristic, complemented
161#64954C2211yescharacteristic
162#64954C2211yescharacteristic
163#64954C2211yescharacteristic
164#64954C2211yescharacteristic
165#64954C2211yescharacteristic
166#64954C2211yescharacteristic
167#64954C2211yescharacteristic
168#64954C2211yescharacteristic, complemented
169#64954C2211yescharacteristic, complemented
170#64954C2211yescharacteristic, complemented
171D5×#95C2211yescharacteristic
172D5×#95C2211yescharacteristic
173C5⋊#401C2211yescharacteristic, complemented
174#64950C2211yescharacteristic, complemented
175#64949C2211yescharacteristic, complemented
176#64949C2211yescharacteristic, complemented
177#64948C2211yescharacteristic, complemented
178#64948C2211yescharacteristic, complemented
179#64947C2211yescharacteristic, complemented
180#64947C2211yescharacteristic, complemented
181#64947C2211yescharacteristic, complemented
182#64946C2211yescharacteristic, complemented
183#64946C2211yescharacteristic, complemented
184#64943C2211yescharacteristic, complemented
185#64939C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36775—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C24×D5C2311yescharacteristic
190C22×C5×D4C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C23×C4×C5C2311yescharacteristic
193C22×C22⋊D5C2311yescharacteristic
194C22×C22⋊D5C2311yescharacteristic
195C22×C22⋊D5C2311yescharacteristic
196C22×C22⋊D5C2311yescharacteristic
197C23×Dic5C2311yescharacteristic
198C23×Dic5C2311yescharacteristic
199C2×D4×D5—24no—
200C2×D4×D5—42no—
201C2×D4×D5—42no—
202C22×D20C2311yescharacteristic
203C22×D20C2311yescharacteristic
204C22×D20C2311yescharacteristic
205C22×D20C2311yescharacteristic
206C22×C4×D5—42no—
207C22×C4×D5—42no—
208C22×C4×D5—42no—
209C22×C4×D5C2311yescharacteristic
210C22×C4×D5C2311yescharacteristic
211C22×C4×D5C2311yescharacteristic
212C22×C4×D5C2311yescharacteristic
213C22×C4×D5C2311yescharacteristic
214C22×C4×D5C2311yescharacteristic
215C22×C4×D5C2311yescharacteristic
216C22×C4×D5C2311yescharacteristic
217C22×C4×D5C2311yescharacteristic
218C22×C4×D5C2311yescharacteristic
219C22×Dic10C2311yescharacteristic
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C4⋊C4C2311yescharacteristic
223C2×C5×C4⋊C4C2311yescharacteristic
224C2×C5×C4⋊C4C2311yescharacteristic
225C2×C5×C4⋊C4C2311yescharacteristic
226C2×C5×C4⋊C4C2311yescharacteristic
227C2×C5×C22⋊C4C2311yescharacteristic
228C2×C5×C22⋊C4C2311yescharacteristic
229C2×C5×C22⋊C4C2311yescharacteristic
230C2×C5×C22⋊C4C2311yescharacteristic
231C2×C5×C22⋊C4C2311yescharacteristic
232C2×C5×C22⋊C4C2311yescharacteristic
233C2×C5×C22⋊C4C2311yescharacteristic
234C2×C5×C22⋊C4C2311yescharacteristic
235C2×C5×C22⋊C4C2311yescharacteristic
236C2×C5×C22⋊C4C2311yescharacteristic
237C2×C42×C5C2311yescharacteristic
238C2×C22⋊Dic5C2311yescharacteristic
239C2×C22⋊Dic5C2311yescharacteristic
240C2×C22⋊Dic5C2311yescharacteristic
241C2×C22⋊Dic5C2311yescharacteristic
242C2×C22⋊Dic5C2311yescharacteristic
243C2×C22⋊Dic5C2311yescharacteristic
244C2×C22⋊Dic5C2311yescharacteristic
245C2×C22⋊Dic5C2311yescharacteristic
246#4081—42no—
247#4075—42no—
248#4075—42no—
249C2×#685—24no—
250C2×#685C2311yescharacteristic
251C2×#685C2311yescharacteristic
252C2×#685C2311yescharacteristic
253C2×#685C2311yescharacteristic
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
258C2×#685C2311yescharacteristic
259C2×#685C2311yescharacteristic
260C2×#685C2311yescharacteristic
261C2×#685C2311yescharacteristic
262C2×#685C2311yescharacteristic
263C2×#685C2311yescharacteristic
264C2×#685C2311yescharacteristic
265C2×#685C2311yescharacteristic
266C2×#685C2311yescharacteristic
267C2×#685C2311yescharacteristic
268C2×#685C2311yescharacteristic
269C2×#685C2311yescharacteristic
270C2×#685C2311yescharacteristic
271C2×#685C2311yescharacteristic
272C2×#685C2311yescharacteristic
273C2×#685C2311yescharacteristic
274C2×#685C2311yescharacteristic
275C2×#685C2311yescharacteristic
276C2×#685C2311yescharacteristic
277C2×#685C2311yescharacteristic
278C2×#685C2311yescharacteristic
279C2×#685C2311yescharacteristic
280C2×#685C2311yescharacteristic
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×C4⋊Dic5C2311yescharacteristic
285C2×C4⋊Dic5C2311yescharacteristic
286C2×C4⋊Dic5C2311yescharacteristic
287C2×C4⋊Dic5C2311yescharacteristic
288C2×C4⋊Dic5C2311yescharacteristic
289C2×C4⋊Dic5C2311yescharacteristic
290C2×C4⋊Dic5C2311yescharacteristic
291C2×#683C2311yescharacteristic
292C2×#683C2311yescharacteristic
293C2×#683C2311yescharacteristic
294C2×#683C2311yescharacteristic
295C2×#683C2311yescharacteristic
296C2×#683C2311yescharacteristic
297C2×#683C2311yescharacteristic
298C2×#683C2311yescharacteristic
299C2×#683C2311yescharacteristic
300C2×#683C2311yescharacteristic
301C2×#683C2311yescharacteristic
302C2×#683C2311yescharacteristic
303C2×#683C2311yescharacteristic
304C2×#683C2311yescharacteristic
305C2×#683C2311yescharacteristic
306C2×#683C2311yescharacteristic
307C2×C4×Dic5C2311yescharacteristic
308C2×C4×Dic5C2311yescharacteristic
309#4043—42no—
310#4042—42no—
311#4042—42no—
312#4041—42no—
313#4040—42no—
314#4039—42no—
315#4032—42no—
316#4032—42no—
317#4030—42no—
318#4028—24no—
319#4028—42no—
320D5×C22⋊C4—42no—
321D5×C22⋊C4—42no—
322D5×C22⋊C4—42no—
323D5×C22⋊C4—42no—
324#4024—42no—
325#4022—42no—
326C5×#95C2311yescharacteristic
327C5×#95C2311yescharacteristic
328C5×#95C2311yescharacteristic
329C5×#95C2311yescharacteristic
330C5×#95C2311yescharacteristic
331C5×#95C2311yescharacteristic
332C5×#95C2311yescharacteristic
333C5×#95C2311yescharacteristic
334C5×#95C2311yescharacteristic
335C5×#95C2311yescharacteristic
336C5×#95C2311yescharacteristic
337C5×#95C2311yescharacteristic
338C5×#95C2311yescharacteristic
339C5×#95C2311yescharacteristic
340#3963C2311yescharacteristic
341#3963C2311yescharacteristic
342#3963C2311yescharacteristic
343#3963C2311yescharacteristic
344#3963C2311yescharacteristic
345#3963C2311yescharacteristic
346#3963C2311yescharacteristic
347#3963C2311yescharacteristic
348#3963C2311yescharacteristic
349#3963C2311yescharacteristic
350#3963C2311yescharacteristic
351#3963C2311yescharacteristic
352#3963C2311yescharacteristic
353#3963C2311yescharacteristic
354#3963C2311yescharacteristic
355#3963C2311yescharacteristic
356#3963C2311yescharacteristic
357#3963C2311yescharacteristic
358#3963C2311yescharacteristic
359#3963C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#2849—51no—
371#2848—51no—
372#2782—51no—
373#2750—51no—
374#2746—51no—
375#2746—51no—
376#2743D511yescharacteristic, complemented
377#2728—51no—
378#2708—51no—
379#2708—51no—
380#2706—51no—
381#2696—51no—
382#2695—51no—
383#2693—51no—
384#2693—51no—
385#2691—51no—
386#2687—51no—
387#2681—51no—
388#2646—51no—
389#2643—51no—
390#2505—51no—
391#2480—51no—
392#2450—51no—
393#2437—51no—
394#2418—51no—
395#2412—51no—
396#2410—51no—
397#2405—51no—
398#2321—51no—
399#2315—51no—
400C2×#386—51no—
401C24×C5C2411yescharacteristic
402C24×C5C2411yescharacteristic
403C23×D5—22no—
404C23×D5—22no—
405C23×D5—22no—
406C23×D5—22no—
407C23×D5—22no—
408C23×D5—22no—
409C23×D5—22no—
410C23×D5—41no—
411C23×D5—41no—
412C23×D5—41no—
413C23×D5—41no—
414C23×D5—41no—
415C23×D5—41no—
416C23×D5#4114yes—
417C23×D5C2411yescharacteristic
418C23×D5C2411yescharacteristic
419C23×D5C2411yescharacteristic
420C23×D5C2411yescharacteristic
421C2×C5×D4—22no—
422C2×C5×D4—22no—
423C2×C5×D4—41no—
424C22×C4×C5—22no—
425C22×C4×C5—22no—
426C22×C4×C5—41no—
427C22×C4×C5—41no—
428C22×C4×C5—41no—
429C22×C4×C5—41no—
430C22×C4×C5C2411yescharacteristic
431C22×C4×C5C2411yescharacteristic
432C22×C4×C5C2411yescharacteristic
433C22×C4×C5C2411yescharacteristic
434C22×C4×C5C2411yescharacteristic
435C22×C4×C5C2411yescharacteristic
436C22×C4×C5C2411yescharacteristic
437C22×C4×C5C2411yescharacteristic
438C22×C4×C5C2411yescharacteristic
439C22×C4×C5C2411yescharacteristic
440C22×C4×C5C2411yescharacteristic
441C22×C4×C5C2411yescharacteristic
442C22×C4×C5C2411yescharacteristic
443C2×C22⋊D5—22no—
444C2×C22⋊D5—22no—
445C2×C22⋊D5—22no—
446C2×C22⋊D5—22no—
447C2×C22⋊D5—22no—
448C2×C22⋊D5—22no—
449C2×C22⋊D5—41no—
450C2×C22⋊D5—41no—
451C2×C22⋊D5—41no—
452C2×C22⋊D5—41no—
453C2×C22⋊D5—41no—
454C2×C22⋊D5—41no—
455C22×Dic5—22no—
456C22×Dic5—22no—
457C22×Dic5—22no—
458C22×Dic5—41no—
459C22×Dic5—41no—
460C22×Dic5—41no—
461C22×Dic5C2411yescharacteristic
462C22×Dic5C2411yescharacteristic
463C22×Dic5C2411yescharacteristic
464C22×Dic5C2411yescharacteristic
465C22×Dic5C2411yescharacteristic
466C22×Dic5C2411yescharacteristic
467C22×Dic5C2411yescharacteristic
468C22×Dic5C2411yescharacteristic
469C22×Dic5C2411yescharacteristic
470C22×Dic5C2411yescharacteristic
471C22×Dic5C2411yescharacteristic
472C22×Dic5C2411yescharacteristic
473D4×D5—416no—
474C2×D20—22no—
475C2×D20—22no—
476C2×D20—22no—
477C2×D20—22no—
478C2×D20—22no—
479C2×D20—22no—
480C2×D20—22no—
481C2×D20—41no—
482C2×D20—41no—
483C2×D20—41no—
484C2×D20—41no—
485C2×D20—41no—
486C2×C4×D5—22no—
487C2×C4×D5—22no—
488C2×C4×D5—22no—
489C2×C4×D5—22no—
490C2×C4×D5—22no—
491C2×C4×D5—22no—
492C2×C4×D5—22no—
493C2×C4×D5—41no—
494C2×C4×D5—41no—
495C2×C4×D5—41no—
496C2×C4×D5—41no—
497C2×C4×D5—41no—
498C2×C4×D5—41no—
499C2×C4×D5—41no—
500C2×C4×D5—41no—
501C2×C4×D5—41no—
502C2×C4×D5—41no—
503C2×C4×D5—416no—
504C2×C4×D5—41no—
505C2×C4×D5—41no—
506C2×C4×D5—41no—
507C2×C4×D5—41no—
508C2×C4×D5—41no—
509C2×C4×D5—41no—
510C2×C4×D5—41no—
511C2×C4×D5—41no—
512C2×C4×D5—41no—
513C2×C4×D5—41no—
514C2×C4×D5—41no—
515C2×C4×D5—41no—
516C2×C4×D5—41no—
517C2×Dic10—22no—
518C2×Dic10—41no—
519C2×Dic10—41no—
520C5×C4⋊C4—41no—
521C5×C4⋊C4—41no—
522C5×C4⋊C4—41no—
523C5×C4⋊C4—41no—
524C5×C4⋊C4—41no—
525C5×C4⋊C4—41no—
526C5×C4⋊C4—41no—
527C5×C22⋊C4—22no—
528C5×C22⋊C4—22no—
529C5×C22⋊C4—41no—
530C5×C22⋊C4—41no—
531C5×C22⋊C4—41no—
532C5×C22⋊C4—41no—
533C5×C22⋊C4—41no—
534C5×C22⋊C4—41no—
535C5×C22⋊C4—41no—
536C5×C22⋊C4—41no—
537C42×C5—41no—
538C22⋊Dic5—22no—
539C22⋊Dic5—22no—
540C22⋊Dic5—22no—
541C22⋊Dic5—41no—
542C22⋊Dic5—41no—
543C22⋊Dic5—41no—
544C22⋊Dic5—41no—
545C22⋊Dic5—41no—
546#685—22no—
547#685—22no—
548#685—22no—
549#685—22no—
550#685—22no—
551#685—22no—
552#685—22no—
553#685—22no—
554#685—22no—
555#685—22no—
556#685—22no—
557#685—22no—
558#685—22no—
559#685—22no—
560#685—22no—
561#685—22no—
562#685—22no—
563#685—41no—
564#685—41no—
565#685—41no—
566#685—41no—
567#685—41no—
568#685—41no—
569#685—41no—
570#685—41no—
571#685—41no—
572#685—41no—
573#685—41no—
574#685—41no—
575#685—41no—
576#685—41no—
577#685—41no—
578#685—41no—
579#685—41no—
580C4⋊Dic5—22no—
581C4⋊Dic5—41no—
582C4⋊Dic5—41no—
583C4⋊Dic5—41no—
584C4⋊Dic5—41no—
585C4⋊Dic5—41no—
586C4⋊Dic5—41no—
587#683—22no—
588#683—41no—
589#683—41no—
590#683—41no—
591#683—41no—
592#683—41no—
593#683—41no—
594#683—41no—
595#683—41no—
596#683—41no—
597#683—41no—
598#683—41no—
599#683—41no—
600#683—41no—
601#683—41no—
602#683—41no—
603C4×Dic5—41no—
604C4×Dic5—41no—
605C23×D4—51no—
606C24×C4—51no—
607C2×#126—51no—
608C2×#123—51no—
609C2×#123—51no—
610C2×#123—51no—
611C2×#123—51no—
612C2×#123—51no—
613C2×#123—51no—
614C2×C22⋊Q8—51no—
615C2×C22⋊Q8—51no—
616C2×C22⋊Q8—51no—
617C2×C22⋊Q8—51no—
618C2×#121—51no—
619C2×#121—51no—
620C2×#120—51no—
621C2×#120—51no—
622C2×C4×D4—51no—
623C22×C22⋊C4—51no—
624C22×C22⋊C4—51no—
625C22×C22⋊C4—51no—
626C22×C22⋊C4—51no—
627C22×C22⋊C4—51no—
628#401—51no—
629#400—51no—
630#400—51no—
631#400—51no—
632#400—51no—
633#400—51no—
634#400—51no—
635#400—51no—
636#400—51no—
637#400C2×D511yescharacteristic, complemented
638#400C2×D511yescharacteristic, complemented
639#400C2×D511yescharacteristic, complemented
640#399—51no—
641#399C2×D511yescharacteristic, complemented
642#398—51no—
643#398—51no—
644#398—51no—
645#398—51no—
646#398—51no—
647#398—51no—
648#397—51no—
649#397—51no—
650#397—51no—
651#397—51no—
652#397—51no—
653#397—51no—
654#397—51no—
655#397—51no—
656#397—51no—
657#396—51no—
658#396—51no—
659#396—51no—
660#396—51no—
661#396C2×D511yescharacteristic, complemented
662#394—51no—
663#394—51no—
664#394—51no—
665#394—51no—
666#394—51no—
667#394—51no—
668#394—51no—
669#394—51no—
670#394—51no—
671#394C2×D511yescharacteristic
672#393—51no—
673#393—51no—
674#392—51no—
675#392—51no—
676#391—51no—
677#390—51no—
678#390—51no—
679#389—51no—
680#388—51no—
681#388—51no—
682#388—51no—
683#388—51no—
684#388—51no—
685#388—51no—
686#388—51no—
687#388C2×D511yescharacteristic, complemented
688#388C2×D511yescharacteristic, complemented
689#387—51no—
690#387—51no—
691#387C2×D511yescharacteristic, complemented
692#386—51no—
693#386—51no—
694#386—51no—
695#386—51no—
696#386—51no—
697#386—51no—
698#386—51no—
699#386—51no—
700#386—51no—
701#386—51no—
702#386—51no—
703#386—51no—
704#386—51no—
705#386—51no—
706#386—51no—
707#386—51no—
708#386—51no—
709#386—51no—
710#386—51no—
711#386—51no—
712#386C2×D511yescharacteristic
713#386C2×D511yescharacteristic
714#385—51no—
715#385—51no—
716#385—51no—
717#385—51no—
718#385—51no—
719#385—51no—
720#385—51no—
721#385—51no—
722#385—51no—
723#385—51no—
724#385—51no—
725#385—51no—
726#385—51no—
727#385—51no—
728#385—51no—
729#385—51no—
730#385—51no—
731#385—51no—
732#385—51no—
733#385—51no—
734#385—51no—
735#385—51no—
736#385—51no—
737#385C2×D511yescharacteristic, complemented
738#382—51no—
739#381—51no—
740#381C2×D511yescharacteristic, complemented
741#381C2×D511yescharacteristic, complemented
742#380—51no—
743#380—51no—
744#380—51no—
745#380—51no—
746#380—51no—
747#380—51no—
748#380—51no—
749#380—51no—
750#380—51no—
751#380—51no—
752#380C2×D511yescharacteristic, complemented
753#379—51no—
754#379—51no—
755#379—51no—
756#379—51no—
757C4×C22⋊C4—51no—
758C2×#95—51no—
759C2×#95—51no—
760C23×C5—21no—
761C23×C5—21no—
762C23×C5—21no—
763C23×C5—21no—
764C23×C5—21no—
765C23×C5—21no—
766C23×C5—21no—
767C23×C5—21no—
768C23×C5—21no—
769C23×C5—21no—
770C23×C5—21no—
771C23×C5—21no—
772C23×C5C2×#4112yes—
773C23×C5H(5,𝔽2)12yes—
774C23×C5C2511yescharacteristic
775C22×D5—21no—
776C22×D5—21no—
777C22×D5—21no—
778C22×D5—21no—
779C22×D5—28no—
780C22×D5—21no—
781C22×D5—21no—
782C22×D5—21no—
783C22×D5—21no—
784C22×D5—21no—
785C22×D5—21no—
786C22×D5—21no—
787C22×D5—21no—
788C22×D5—21no—
789C22×D5—21no—
790C22×D5—21no—
791C22×D5—21no—
792C22×D5—28no—
793C22×D5—21no—
794C22×D5—21no—
795C22×D5—21no—
796C22×D5—21no—
797C22×D5—21no—
798C22×D5—21no—
799C22×D5—21no—
800C22×D5—44no—
801C22×D5—44no—
802C22×D5—44no—
803C22×D5—44no—
804C22×D5—44no—
805C22×D5—44no—
806C22×D5—44no—
807C22×D5—44no—
808C22×D5—82no—
809C22×D5—82no—
810C22×D5—82no—
811C22×D5—82no—
812C22×D5C2×#4112yes—
813C22×D5C2×#4112yes—
814C22×D5H(5,𝔽2)12yes—
815C22×D5H(5,𝔽2)12yes—
816C22×D52−1+412yes—
817C5×D4—44no—
818C2×C4×C5—21no—
819C2×C4×C5—21no—
820C2×C4×C5—21no—
821C2×C4×C5—21no—
822C2×C4×C5—21no—
823C2×C4×C5—21no—
824C2×C4×C5—21no—
825C2×C4×C5—21no—
826C2×C4×C5—21no—
827C2×C4×C5—21no—
828C2×C4×C5—21no—
829C2×C4×C5—21no—
830C2×C4×C5—21no—
831C2×C4×C5—21no—
832C2×C4×C5—21no—
833C2×C4×C5—21no—
834C2×C4×C5—21no—
835C2×C4×C5—21no—
836C2×C4×C5—21no—
837C2×C4×C5—21no—
838C2×C4×C5—21no—
839C2×C4×C5—21no—
840C2×C4×C5—21no—
841C2×C4×C5—21no—
842C2×C4×C5—21no—
843C2×C4×C5—21no—
844C2×C4×C5—21no—
845C2×C4×C5—21no—
846C2×C4×C5—21no—
847C2×C4×C5—21no—
848C2×C4×C5—21no—
849C2×C4×C5—21no—
850C2×C4×C5—21no—
851C2×C4×C5—21no—
852C2×C4×C5—21no—
853C2×C4×C5—21no—
854C2×C4×C5—21no—
855C2×C4×C5—21no—
856C2×C4×C5—21no—
857C2×C4×C5—44no—
858C2×C4×C5—82no—
859C22⋊D5—44no—
860C22⋊D5—44no—
861C22⋊D5—82no—
862C22⋊D5—82no—
863C2×Dic5—21no—
864C2×Dic5—21no—
865C2×Dic5—21no—
866C2×Dic5—21no—
867C2×Dic5—21no—
868C2×Dic5—21no—
869C2×Dic5—21no—
870C2×Dic5—21no—
871C2×Dic5—21no—
872C2×Dic5—21no—
873C2×Dic5—21no—
874C2×Dic5—21no—
875C2×Dic5—21no—
876C2×Dic5—21no—
877C2×Dic5—21no—
878C2×Dic5—21no—
879C2×Dic5—21no—
880C2×Dic5—21no—
881C2×Dic5—21no—
882C2×Dic5—21no—
883C2×Dic5—21no—
884C2×Dic5—21no—
885C2×Dic5—21no—
886C2×Dic5—21no—
887C2×Dic5—21no—
888C2×Dic5—21no—
889C2×Dic5—21no—
890C2×Dic5—21no—
891C2×Dic5—21no—
892C2×Dic5—21no—
893C2×Dic5—21no—
894C2×Dic5—21no—
895C2×Dic5—21no—
896C2×Dic5—21no—
897C2×Dic5—21no—
898C2×Dic5—44no—
899C2×Dic5—82no—
900C2×Dic5H(5,𝔽2)12yes—
901D20—44no—
902D20—44no—
903D20—82no—
904D20—82no—
905C4×D5—44no—
906C4×D5—44no—
907C4×D5—44no—
908C4×D5—44no—
909C4×D5—44no—
910C4×D5—82no—
911C4×D5—82no—
912C4×D5—82no—
913C4×D5—82no—
914C4×D5—82no—
915Dic10—82no—
916C25—51no—
917C25—51no—
918C22×Q8—51no—
919C22×D4—51no—
920C22×D4—51no—
921C22×D4—51no—
922C22×D4—51no—
923C22×D4—51no—
924C22×D4—51no—
925C22×D4—51no—
926C22×D4—51no—
927C22×D4—104no—
928C22×D4—202no—
929C22×D4—202no—
930C22×D4C22×D511yescharacteristic
931C23×C4—51no—
932C23×C4—51no—
933C23×C4—51no—
934C23×C4—51no—
935C23×C4—51no—
936C23×C4—51no—
937C23×C4—51no—
938C23×C4—51no—
939C23×C4—51no—
940C23×C4—51no—
941C23×C4—51no—
942C23×C4—51no—
943C23×C4—202no—
944C23×C4—202no—
945C23×C4—202no—
946C23×C4C22×D511yescharacteristic
947C23×C4C22×D511yescharacteristic
948#126—202no—
949#123—202no—
950#123—202no—
951#123—202no—
952#123—202no—
953#123—202no—
954#123—202no—
955C22⋊Q8—202no—
956C22⋊Q8—202no—
957C22⋊Q8—202no—
958C22⋊Q8—202no—
959#121—202no—
960#121—202no—
961#120—104no—
962#120—202no—
963C4×D4—202no—
964C2×C4⋊C4—51no—
965C2×C4⋊C4—51no—
966C2×C4⋊C4—51no—
967C2×C4⋊C4—51no—
968C2×C4⋊C4—51no—
969C2×C4⋊C4—51no—
970C2×C4⋊C4—51no—
971C2×C4⋊C4—51no—
972C2×C4⋊C4—51no—
973C2×C4⋊C4—51no—
974C2×C4⋊C4—51no—
975C2×C4⋊C4—51no—
976C2×C4⋊C4—51no—
977C2×C4⋊C4—51no—
978C2×C4⋊C4—51no—
979C2×C4⋊C4—51no—
980C2×C4⋊C4—51no—
981C2×C4⋊C4—51no—
982C2×C4⋊C4—51no—
983C2×C4⋊C4—51no—
984C2×C4⋊C4—51no—
985C2×C4⋊C4—51no—
986C2×C4⋊C4—51no—
987C2×C4⋊C4C22×D511yescharacteristic
988C2×C4⋊C4C22×D511yescharacteristic
989C2×C4⋊C4C22×D511yescharacteristic
990C2×C4⋊C4C22×D511yescharacteristic
991C2×C4⋊C4C22×D511yescharacteristic
992C2×C4⋊C4C22×D511yescharacteristic
993C2×C4⋊C4C22×D511yescharacteristic
994C2×C22⋊C4—51no—
995C2×C22⋊C4—51no—
996C2×C22⋊C4—51no—
997C2×C22⋊C4—51no—
998C2×C22⋊C4—51no—
999C2×C22⋊C4—51no—
1000C2×C22⋊C4—51no—
1001C2×C22⋊C4—51no—
1002C2×C22⋊C4—51no—
1003C2×C22⋊C4—51no—
1004C2×C22⋊C4—51no—
1005C2×C22⋊C4—51no—
1006C2×C22⋊C4—51no—
1007C2×C22⋊C4—51no—
1008C2×C22⋊C4—51no—
1009C2×C22⋊C4—51no—
1010C2×C22⋊C4—51no—
1011C2×C22⋊C4—51no—
1012C2×C22⋊C4—51no—
1013C2×C22⋊C4—51no—
1014C2×C22⋊C4—51no—
1015C2×C22⋊C4—51no—
1016C2×C22⋊C4—51no—
1017C2×C22⋊C4—51no—
1018C2×C22⋊C4—51no—
1019C2×C22⋊C4—51no—
1020C2×C22⋊C4—51no—
1021C2×C22⋊C4—51no—
1022C2×C22⋊C4—51no—
1023C2×C22⋊C4—51no—
1024C2×C22⋊C4—51no—
1025C2×C22⋊C4—51no—
1026C2×C22⋊C4—51no—
1027C2×C22⋊C4—51no—
1028C2×C22⋊C4—51no—
1029C2×C22⋊C4—51no—
1030C2×C22⋊C4—51no—
1031C2×C22⋊C4—51no—
1032C2×C22⋊C4—51no—
1033C2×C22⋊C4—51no—
1034C2×C22⋊C4—51no—
1035C2×C22⋊C4—51no—
1036C2×C22⋊C4—104no—
1037C2×C22⋊C4—202no—
1038C2×C22⋊C4—202no—
1039C2×C22⋊C4—202no—
1040C2×C22⋊C4—202no—
1041C2×C22⋊C4C22×D511yescharacteristic
1042C2×C22⋊C4C22×D511yescharacteristic
1043C2×C22⋊C4C22×D511yescharacteristic
1044C2×C22⋊C4C22×D511yescharacteristic
1045C2×C22⋊C4C22×D511yescharacteristic
1046C2×C22⋊C4C22×D511yescharacteristic
1047C2×C22⋊C4C22×D511yescharacteristic
1048C2×C22⋊C4C22×D511yescharacteristic
1049C2×C22⋊C4C22×D511yescharacteristic
1050C2×C22⋊C4C22×D511yescharacteristic
1051C2×C42—51no—
1052C2×C42—51no—
1053C2×C42C22×D511yescharacteristic
1054#95—51no—
1055#95—51no—
1056#95—51no—
1057#95—51no—
1058#95—51no—
1059#95—51no—
1060#95—51no—
1061#95—51no—
1062#95—51no—
1063#95—51no—
1064#95—51no—
1065#95—51no—
1066#95—51no—
1067#95—51no—
1068#95—51no—
1069#95—51no—
1070#95—51no—
1071#95—51no—
1072#95—51no—
1073#95—51no—
1074#95—51no—
1075#95—51no—
1076#95—51no—
1077#95—51no—
1078#95—51no—
1079#95—51no—
1080#95—51no—
1081#95—51no—
1082#95—51no—
1083#95—51no—
1084#95C22×D511yescharacteristic
1085#95C22×D511yescharacteristic
1086#95C22×D511yescharacteristic
1087#95C22×D511yescharacteristic
1088#95C22×D511yescharacteristic
1089#95C22×D511yescharacteristic
1090#95C22×D511yescharacteristic
1091#95C22×D511yescharacteristic
1092#95C22×D511yescharacteristic
1093#95C22×D511yescharacteristic
1094#95C22×D511yescharacteristic
1095#95C22×D511yescharacteristic
1096#95C22×D511yescharacteristic
1097#95C22×D511yescharacteristic
1098C22×C5—22no—
1099C22×C5—22no—
1100C22×C5—22no—
1101C22×C5—22no—
1102C22×C5—22no—
1103C22×C5—22no—
1104C22×C5—41no—
1105C22×C5—41no—
1106C22×C5—41no—
1107C22×C5—41no—
1108C22×C5—41no—
1109C22×C5—41no—
1110C22×C5—41no—
1111C22×C5—41no—
1112C22×C5C22×#4111yescharacteristic
1113C22×C5C2×H(5,𝔽2)11yescharacteristic
1114C22×C5C2×H(5,𝔽2)11yescharacteristic
1115C22×C5C2×H(5,𝔽2)11yescharacteristic
1116C22×C5C2×H(5,𝔽2)11yescharacteristic
1117C22×C5C2×2−1+411yescharacteristic
1118C22×C5#58511yescharacteristic
1119C2×D5—22no—
1120C2×D5—22no—
1121C2×D5—22no—
1122C2×D5—22no—
1123C2×D5—22no—
1124C2×D5—22no—
1125C2×D5—22no—
1126C2×D5—22no—
1127C2×D5—22no—
1128C2×D5—22no—
1129C2×D5—22no—
1130C2×D5—22no—
1131C2×D5—416no—
1132C2×D5—41no—
1133C2×D5—41no—
1134C2×D5—41no—
1135C2×D5—41no—
1136C2×D5—41no—
1137C2×D5—41no—
1138C2×D5—41no—
1139C2×D5—41no—
1140C2×D5—41no—
1141C2×D5—41no—
1142C2×D5—41no—
1143C2×D5—41no—
1144C2×D5—41no—
1145C2×D5—41no—
1146C2×D5—41no—
1147C2×D5—88no—
1148C2×D5#53914yes—
1149C4×C5—41no—
1150C4×C5—41no—
1151C4×C5—41no—
1152C4×C5—41no—
1153C4×C5—41no—
1154C4×C5—41no—
1155C4×C5—41no—
1156C4×C5—41no—
1157C4×C5—41no—
1158C4×C5—41no—
1159C4×C5—41no—
1160C4×C5—41no—
1161C4×C5—41no—
1162Dic5—22no—
1163Dic5—41no—
1164Dic5—41no—
1165Dic5—41no—
1166Dic5—41no—
1167Dic5—41no—
1168Dic5—41no—
1169Dic5—41no—
1170Dic5—41no—
1171Dic5—41no—
1172Dic5—41no—
1173Dic5—41no—
1174C24—51no—
1175C24—51no—
1176C24—51no—
1177C24—54no—
1178C24—51no—
1179C24—102no—
1180C24—102no—
1181C24—102no—
1182C24—102no—
1183C24—102no—
1184C24—102no—
1185C24—102no—
1186C24—201no—
1187C24—201no—
1188C24—201no—
1189C24—201no—
1190C24—201no—
1191C24—201no—
1192C24C23×D511yescharacteristic
1193C24C23×D511yescharacteristic
1194C2×Q8—102no—
1195C2×Q8—201no—
1196C2×Q8—201no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—41no—
1200C2×D4—102no—
1201C2×D4—102no—
1202C2×D4—102no—
1203C2×D4—102no—
1204C2×D4—102no—
1205C2×D4—102no—
1206C2×D4—102no—
1207C2×D4—102no—
1208C2×D4—102no—
1209C2×D4—102no—
1210C2×D4—102no—
1211C2×D4—102no—
1212C2×D4—102no—
1213C2×D4—201no—
1214C2×D4—201no—
1215C2×D4—201no—
1216C2×D4—201no—
1217C2×D4—201no—
1218C2×D4—201no—
1219C2×D4—201no—
1220C2×D4—201no—
1221C2×D4—201no—
1222C2×D4—201no—
1223C2×D4—201no—
1224C2×D4—2016no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—51no—
1232C22×C4—51no—
1233C22×C4—51no—
1234C22×C4—51no—
1235C22×C4—51no—
1236C22×C4—51no—
1237C22×C4—51no—
1238C22×C4—51no—
1239C22×C4—51no—
1240C22×C4—51no—
1241C22×C4—51no—
1242C22×C4—51no—
1243C22×C4—102no—
1244C22×C4—102no—
1245C22×C4—102no—
1246C22×C4—102no—
1247C22×C4—102no—
1248C22×C4—102no—
1249C22×C4—102no—
1250C22×C4—102no—
1251C22×C4—102no—
1252C22×C4—102no—
1253C22×C4—201no—
1254C22×C4—201no—
1255C22×C4—201no—
1256C22×C4—201no—
1257C22×C4—201no—
1258C22×C4—201no—
1259C22×C4—201no—
1260C22×C4—201no—
1261C22×C4—201no—
1262C22×C4—201no—
1263C22×C4—201no—
1264C22×C4—201no—
1265C22×C4—201no—
1266C22×C4—201no—
1267C22×C4—201no—
1268C22×C4—201no—
1269C22×C4—201no—
1270C22×C4—201no—
1271C22×C4—201no—
1272C22×C4—201no—
1273C22×C4—201no—
1274C22×C4—201no—
1275C22×C4—201no—
1276C22×C4—2016no—
1277C22×C4—201no—
1278C22×C4—201no—
1279C22×C4—201no—
1280C22×C4C23×D511yescharacteristic
1281C22×C4C23×D511yescharacteristic
1282C22×C4C23×D511yescharacteristic
1283C22×C4C23×D511yescharacteristic
1284C22×C4C23×D511yescharacteristic
1285C22×C4C23×D511yescharacteristic
1286C22×C4C23×D511yescharacteristic
1287C22×C4C23×D511yescharacteristic
1288C22×C4C23×D511yescharacteristic
1289C22×C4C23×D511yescharacteristic
1290C22×C4C23×D511yescharacteristic
1291C22×C4C23×D511yescharacteristic
1292C22×C4C23×D511yescharacteristic
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—102no—
1301C4⋊C4—102no—
1302C4⋊C4—201no—
1303C4⋊C4—201no—
1304C4⋊C4—201no—
1305C4⋊C4—201no—
1306C4⋊C4—201no—
1307C4⋊C4—201no—
1308C4⋊C4—201no—
1309C4⋊C4—201no—
1310C4⋊C4—201no—
1311C4⋊C4—201no—
1312C4⋊C4—201no—
1313C4⋊C4—201no—
1314C4⋊C4—201no—
1315C4⋊C4—201no—
1316C4⋊C4—201no—
1317C4⋊C4—201no—
1318C4⋊C4—201no—
1319C4⋊C4—201no—
1320C4⋊C4—201no—
1321C4⋊C4—201no—
1322C4⋊C4—201no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—102no—
1334C22⋊C4—102no—
1335C22⋊C4—102no—
1336C22⋊C4—102no—
1337C22⋊C4—102no—
1338C22⋊C4—102no—
1339C22⋊C4—102no—
1340C22⋊C4—102no—
1341C22⋊C4—102no—
1342C22⋊C4—102no—
1343C22⋊C4—102no—
1344C22⋊C4—102no—
1345C22⋊C4—102no—
1346C22⋊C4—102no—
1347C22⋊C4—102no—
1348C22⋊C4—102no—
1349C22⋊C4—102no—
1350C22⋊C4—102no—
1351C22⋊C4—102no—
1352C22⋊C4—102no—
1353C22⋊C4—201no—
1354C22⋊C4—201no—
1355C22⋊C4—201no—
1356C22⋊C4—201no—
1357C22⋊C4—201no—
1358C22⋊C4—201no—
1359C22⋊C4—201no—
1360C22⋊C4—201no—
1361C22⋊C4—201no—
1362C22⋊C4—201no—
1363C22⋊C4—201no—
1364C22⋊C4—201no—
1365C22⋊C4—201no—
1366C22⋊C4—201no—
1367C22⋊C4—201no—
1368C22⋊C4—201no—
1369C22⋊C4—201no—
1370C22⋊C4—201no—
1371C22⋊C4—201no—
1372C22⋊C4—201no—
1373C22⋊C4—201no—
1374C22⋊C4—201no—
1375C42—41no—
1376C42—201no—
1377C42—201no—
1378C2×C5—42no—
1379C2×C5—42no—
1380C2×C5C2×#53911yescharacteristic
1381C2×C5#349011yescharacteristic
1382C2×C5#350511yescharacteristic
1383C2×C5#353211yescharacteristic
1384C2×C5#353411yescharacteristic
1385C2×C5#353511yescharacteristic
1386C2×C5#353611yescharacteristic
1387D5—24no—
1388D5—42no—
1389D5—42no—
1390D5—81no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—52no—
1404C23—52no—
1405C23—52no—
1406C23—52no—
1407C23—52no—
1408C23—108no—
1409C23—108no—
1410C23—101no—
1411C23—101no—
1412C23—101no—
1413C23—101no—
1414C23—101no—
1415C23—101no—
1416C23—101no—
1417C23—101no—
1418C23—101no—
1419C23—101no—
1420C23—101no—
1421C23—101no—
1422C23—101no—
1423C23—101no—
1424C23—101no—
1425C23—101no—
1426C23—101no—
1427C23—101no—
1428C23—101no—
1429C23—101no—
1430C23—101no—
1431C23—101no—
1432C23—101no—
1433C23—204no—
1434C23—204no—
1435C23—204no—
1436C23—204no—
1437C23—204no—
1438C23—204no—
1439C23—204no—
1440C23—204no—
1441C23—402no—
1442C23—402no—
1443C23—402no—
1444C23—402no—
1445C23D5×#4112yes—
1446C23#414912yes—
1447C23C24×D511yescharacteristic
1448Q8—402no—
1449D4—44no—
1450D4—204no—
1451D4—204no—
1452D4—204no—
1453D4—204no—
1454D4—402no—
1455D4—402no—
1456D4—402no—
1457D4—402no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—44no—
1498C2×C4—52no—
1499C2×C4—82no—
1500C2×C4—101no—
1501C2×C4—101no—
1502C2×C4—101no—
1503C2×C4—101no—
1504C2×C4—101no—
1505C2×C4—101no—
1506C2×C4—101no—
1507C2×C4—101no—
1508C2×C4—101no—
1509C2×C4—101no—
1510C2×C4—101no—
1511C2×C4—101no—
1512C2×C4—101no—
1513C2×C4—101no—
1514C2×C4—101no—
1515C2×C4—101no—
1516C2×C4—101no—
1517C2×C4—101no—
1518C2×C4—101no—
1519C2×C4—101no—
1520C2×C4—101no—
1521C2×C4—101no—
1522C2×C4—101no—
1523C2×C4—101no—
1524C2×C4—101no—
1525C2×C4—101no—
1526C2×C4—101no—
1527C2×C4—101no—
1528C2×C4—101no—
1529C2×C4—101no—
1530C2×C4—101no—
1531C2×C4—101no—
1532C2×C4—101no—
1533C2×C4—101no—
1534C2×C4—101no—
1535C2×C4—204no—
1536C2×C4—204no—
1537C2×C4—204no—
1538C2×C4—204no—
1539C2×C4—204no—
1540C2×C4—204no—
1541C2×C4—402no—
1542C2×C4—402no—
1543C2×C4—402no—
1544C2×C4—402no—
1545C2×C4—402no—
1546C2×C4—402no—
1547C5#3677511yescharacteristic, complemented, Sylow
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—54no—
1563C22—102no—
1564C22—102no—
1565C22—102no—
1566C22—102no—
1567C22—102no—
1568C22—102no—
1569C22—102no—
1570C22—102no—
1571C22—102no—
1572C22—102no—
1573C22—102no—
1574C22—102no—
1575C22—2016no—
1576C22—201no—
1577C22—201no—
1578C22—201no—
1579C22—201no—
1580C22—201no—
1581C22—201no—
1582C22—201no—
1583C22—201no—
1584C22—201no—
1585C22—201no—
1586C22—201no—
1587C22—201no—
1588C22—201no—
1589C22—201no—
1590C22—201no—
1591C22—408no—
1592C22C2×D5×#4111yescharacteristic
1593C22C2×#414911yescharacteristic
1594C22#6628311yescharacteristic
1595C22D5×H(5,𝔽2)11yescharacteristic
1596C22D5×H(5,𝔽2)11yescharacteristic
1597C22D5×H(5,𝔽2)11yescharacteristic
1598C22D5×2−1+411yescharacteristic
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—102no—
1613C4—201no—
1614C4—201no—
1615C4—201no—
1616C4—201no—
1617C4—201no—
1618C4—201no—
1619C4—201no—
1620C4—201no—
1621C4—201no—
1622C4—201no—
1623C4—201no—
1624C2—42no—
1625C2—42no—
1626C2—104no—
1627C2—202no—
1628C2—202no—
1629C2—401no—
1630C2#1061831911yescharacteristic
1631C2D5×#53911yescharacteristic
1632C2#1061839111yescharacteristic
1633C2#1061871611yescharacteristic
1634C2#1061871811yescharacteristic
1635C2#1061874511yescharacteristic
1636C2#1061899611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2743C2
prime radical#10608839C2
hypercenter#2743D5
hypocenterC5#36775
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2743

Complements

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

NH ≅ G/Ntype
1. C5×#2743C2semidirect
2. #10610104C2semidirect
3. #10610102C2semidirect
4. #10610094C2semidirect
5. #10610093C2semidirect
6. #10610075C2semidirect
7. #10610021C2semidirect
8. #10609832C2semidirect
9. #10609808C2semidirect
10. #10609149C2semidirect
11. #10609079C2semidirect
13. #10608741C2semidirect
14. #10607557C2semidirect
15. #10607407C2semidirect
16. #10607400C2semidirect
17. #10607270C2semidirect
18. #10607072C2semidirect
19. #10606881C2semidirect
20. D5×#386C2semidirect
21. #10606549C2semidirect
22. #10606535C2semidirect
23. #10606417C2semidirect
24. #10606386C2semidirect
25. #10606368C2semidirect
26. #10605877C2semidirect
27. #10605873C2semidirect
28. #10605857C2semidirect
29. #10605838C2semidirect
30. #10605736C2semidirect
31. #10605695C2semidirect
35. C2×#4075C22semidirect
36. C2×#4075C22semidirect
38. C2×#4043C22semidirect
40. C2×#4042C22semidirect
42. C2×#4040C22semidirect
45. C2×#4032C22semidirect
53. C2×#4024C22semidirect
54. C2×#4022C22semidirect
55. C5×#400C22semidirect
56. C5×#400C22semidirect
57. C5×#400C22semidirect
58. C5×#399C22semidirect
59. C5×#396C22semidirect
61. C5×#388C22semidirect
62. C5×#388C22semidirect
63. C5×#387C22semidirect
66. C5×#385C22semidirect
67. C5×#381C22semidirect
68. C5×#381C22semidirect
69. C5×#380C22semidirect
74. #65501C22semidirect
75. #65499C22semidirect
76. #65283C22semidirect
77. #65282C22semidirect
78. #65282C22semidirect
79. #65282C22semidirect
80. #65280C22semidirect
81. #65279C22semidirect
86. #65278C22semidirect
87. #65278C22semidirect
88. #65278C22semidirect
89. #65278C22semidirect
90. #65278C22semidirect
92. #65276C22semidirect
93. #65275C22semidirect
94. #65273C22semidirect
95. #65273C22semidirect
96. #65269C22semidirect
97. #65267C22semidirect
100. #65250C22semidirect
104. #65247C22semidirect
105. #65246C22semidirect
109. #65245C22semidirect
110. #65245C22semidirect
115. #65241C22semidirect
116. #65240C22semidirect
117. #65238C22semidirect
118. #65237C22semidirect
119. #65237C22semidirect
120. #65236C22semidirect
121. #65235C22semidirect
122. #65234C22semidirect
123. #65233C22semidirect
124. #65232C22semidirect
125. #65231C22semidirect
126. #65231C22semidirect
127. #65231C22semidirect
128. #65228C22semidirect
130. #65217C22semidirect
131. #64965C22semidirect
132. #64964C22semidirect
133. #64964C22semidirect
134. #64964C22semidirect
135. #64964C22semidirect
136. #64963C22semidirect
137. #64962C22semidirect
140. #64961C22semidirect
141. #64961C22semidirect
142. #64959C22semidirect
143. #64958C22semidirect
144. #64958C22semidirect
151. #64957C22semidirect
152. #64957C22semidirect
153. #64957C22semidirect
154. #64957C22semidirect
155. #64957C22semidirect
156. #64957C22semidirect
159. #64956C22semidirect
160. #64956C22semidirect
168. #64954C22semidirect
169. #64954C22semidirect
170. #64954C22semidirect
173. C5⋊#401C22semidirect
174. #64950C22semidirect
175. #64949C22semidirect
176. #64949C22semidirect
177. #64948C22semidirect
178. #64948C22semidirect
179. #64947C22semidirect
180. #64947C22semidirect
181. #64947C22semidirect
182. #64946C22semidirect
183. #64946C22semidirect
184. #64943C22semidirect
185. #64939C22semidirect
186. #64935C22semidirect
376. #2743D5semidirect
637. #400C2×D5semidirect
638. #400C2×D5semidirect
639. #400C2×D5semidirect
641. #399C2×D5semidirect
661. #396C2×D5semidirect
687. #388C2×D5semidirect
688. #388C2×D5semidirect
691. #387C2×D5semidirect
737. #385C2×D5semidirect
740. #381C2×D5semidirect
741. #381C2×D5semidirect
752. #380C2×D5semidirect
1547. C5#36775semidirect

Maximal subgroups

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

subgroupindex
C5×#27432
#106101042
#106101022
#106100942
#106100932
#106100752
#106100212
#106098322
#106098082
#106091492
#106090792
#106088392
#106087412
#106075572
#106074072
#106074002
#106072702
#106070722
#106068812
D5×#3862
#106065492
#106065352
#106064172
#106063862
#106063682
#106058772
#106058732
#106058572
#106058382
#106057362
#106056952
#367755