Finite Group Databasebeta

← #12307179

Subgroups — #12307179

Order 1280.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2418C211yesmaximal, characteristic, complemented
2#10614640C211yesmaximal, characteristic, complemented
3#10614609C211yesmaximal, characteristic, complemented
4#10614338C211yesmaximal, characteristic, complemented
5#10614317C211yesmaximal, characteristic, complemented
6#10614126C211yesmaximal, characteristic, complemented
7#10614086C211yesmaximal, characteristic, complemented
8C2×#65245C211yesmaximal, characteristic, complemented
9#10613842C211yesmaximal, characteristic, complemented
10#10609806C211yesmaximal, characteristic, complemented
11#10609804C211yesmaximal, characteristic, complemented
12#10609444C211yesmaximal, characteristic, complemented
13#10609359C211yesmaximal, characteristic, complemented
14#10608888C211yesmaximal, characteristic, complemented
15#10608792C211yesmaximal, characteristic, complemented
16#10608767C211yesmaximal, characteristic, complemented
17#10608734C211yesmaximal, characteristic, complemented
18#10607680C211yesmaximal, characteristic, complemented
19#10607504C211yesmaximal, characteristic, complemented
20#10607464C211yesmaximal, characteristic, complemented
21#10607413C211yesmaximal, characteristic, complemented
22#10606666C211yesmaximal, characteristic, complemented
23#10606663C211yesmaximal, characteristic, complemented
24#10606654C211yesmaximal, characteristic, complemented
25#10606471C211yesmaximal, characteristic, complemented
26#10606323C211yesmaximal, characteristic, complemented
27#10606189C211yesmaximal, characteristic, complemented
28#10605780C211yesmaximal, characteristic, complemented
29#10605621C211yesmaximal, characteristic, complemented
30#10605586C211yesmaximal, characteristic, complemented
31#10605561C211yesmaximal, characteristic, complemented
32C23×C22⋊D5C2211yescharacteristic
33C23×C4×D5C2211yescharacteristic
34C2×C5×#123C2211yescharacteristic, complemented
35C2×C5×#120C2211yescharacteristic
36C2×C4×C5×D4C2211yescharacteristic
37C22×C5×C22⋊C4C2211yescharacteristic
38C2×#4099C2211yescharacteristic
39C22×C22⋊Dic5C2211yescharacteristic
40C2×#4085C2211yescharacteristic
41C2×#4084C2211yescharacteristic, complemented
42C2×#4083C2211yescharacteristic
43C2×#4081C2211yescharacteristic
44C22×#685C2211yescharacteristic
45C2×#4070C2211yescharacteristic
46C2×#4043C2211yescharacteristic, complemented
47C2×#4043C2211yescharacteristic, complemented
48C2×#4032C2211yescharacteristic
49C2×#4031C2211yescharacteristic, complemented
50C2×#4030C2211yescharacteristic, complemented
51C2×#4030C2211yescharacteristic, complemented
52C2×#4028C2211yescharacteristic
53C2×#4027C2211yescharacteristic
54C2×#4025C2211yescharacteristic, complemented
55C5×#399C2211yescharacteristic, complemented
56C5×#397C2211yescharacteristic, complemented
57C5×#394C2211yescharacteristic, complemented
58C5×#394C2211yescharacteristic, complemented
59C5×#388C2211yescharacteristic, complemented
60C5×#388C2211yescharacteristic, complemented
61C5×#386C2211yescharacteristic
62C5×#386C2211yescharacteristic, complemented
63C5×#385C2211yescharacteristic
64C5×#380C2211yescharacteristic
65C5×#379C2211yescharacteristic
66#65536C2211yescharacteristic
67#65512C2211yescharacteristic
68#65512C2211yescharacteristic
69#65512C2211yescharacteristic
70#65512C2211yescharacteristic
71#65512C2211yescharacteristic, complemented
72#65511C2211yescharacteristic, complemented
73#65510C2211yescharacteristic, complemented
74#65509C2211yescharacteristic
75#65502C2211yescharacteristic
76#65502C2211yescharacteristic
77#65502C2211yescharacteristic, complemented
78#65502C2211yescharacteristic, complemented
79#65502C2211yescharacteristic, complemented
80#65501C2211yescharacteristic, complemented
81C4×C22⋊Dic5C2211yescharacteristic
82C2×#3963C2211yescharacteristic
83C2×#3963C2211yescharacteristic
84#65283C2211yescharacteristic, complemented
85#65282C2211yescharacteristic, complemented
86#65279C2211yescharacteristic, complemented
87#65279C2211yescharacteristic, complemented
88#65279C2211yescharacteristic, complemented
89#65279C2211yescharacteristic, complemented
90#65278C2211yescharacteristic, complemented
91#65277C2211yescharacteristic, complemented
92#65277C2211yescharacteristic, complemented
93#65276C2211yescharacteristic, complemented
94#65276C2211yescharacteristic, complemented
95#65275C2211yescharacteristic, complemented
96#65273C2211yescharacteristic, complemented
97#65272C2211yescharacteristic, complemented
98#65271C2211yescharacteristic, complemented
99#65270C2211yescharacteristic, complemented
100#65270C2211yescharacteristic, complemented
101#65267C2211yescharacteristic, complemented
102#65250C2211yescharacteristic
103#65250C2211yescharacteristic
104#65250C2211yescharacteristic
105#65250C2211yescharacteristic
106#65250C2211yescharacteristic, complemented
107#65250C2211yescharacteristic, complemented
108#65250C2211yescharacteristic, complemented
109#65249C2211yescharacteristic
110#65249C2211yescharacteristic
111#65249C2211yescharacteristic
112#65249C2211yescharacteristic
113#65248C2211yescharacteristic
114#65248C2211yescharacteristic
115#65248C2211yescharacteristic
116#65248C2211yescharacteristic
117#65248C2211yescharacteristic, complemented
118#65246C2211yescharacteristic, complemented
119#65246C2211yescharacteristic, complemented
120#65246C2211yescharacteristic, complemented
121#65245C2211yescharacteristic
122#65245C2211yescharacteristic
123#65245C2211yescharacteristic
124#65245C2211yescharacteristic
125#65245C2211yescharacteristic
126#65245C2211yescharacteristic
127#65245C2211yescharacteristic
128#65245C2211yescharacteristic
129#65245C2211yescharacteristic, complemented
130#65245C2211yescharacteristic, complemented
131#65245C2211yescharacteristic, complemented
132#65244C2211yescharacteristic
133#65244C2211yescharacteristic
134#65242C2211yescharacteristic, complemented
135#65242C2211yescharacteristic, complemented
136#65241C2211yescharacteristic, complemented
137#65241C2211yescharacteristic, complemented
138#65241C2211yescharacteristic, complemented
139#65241C2211yescharacteristic, complemented
140#65240C2211yescharacteristic, complemented
141#65240C2211yescharacteristic, complemented
142#65240C2211yescharacteristic, complemented
143#65239C2211yescharacteristic
144#65239C2211yescharacteristic
145#65237C2211yescharacteristic, complemented
146#65237C2211yescharacteristic, complemented
147#65236C2211yescharacteristic, complemented
148#65236C2211yescharacteristic, complemented
149#65235C2211yescharacteristic
150#65234C2211yescharacteristic, complemented
151#65233C2211yescharacteristic, complemented
152#65233C2211yescharacteristic, complemented
153#65233C2211yescharacteristic, complemented
154#65233C2211yescharacteristic, complemented
155#65232C2211yescharacteristic
156#65232C2211yescharacteristic
157#65231C2211yescharacteristic
158C22⋊C4×Dic5C2211yescharacteristic
159#65229C2211yescharacteristic, complemented
160#65229C2211yescharacteristic, complemented
161#65229C2211yescharacteristic, complemented
162#65217C2211yescharacteristic, complemented
163#64964C2211yescharacteristic, complemented
164#64958C2211yescharacteristic, complemented
165#64958C2211yescharacteristic, complemented
166#64957C2211yescharacteristic, complemented
167#64957C2211yescharacteristic, complemented
168#64957C2211yescharacteristic, complemented
169#64957C2211yescharacteristic, complemented
170#64956C2211yescharacteristic, complemented
171#64956C2211yescharacteristic, complemented
172#64954C2211yescharacteristic, complemented
173#64954C2211yescharacteristic, complemented
174#64954C2211yescharacteristic, complemented
175#64954C2211yescharacteristic, complemented
176#64953C2211yescharacteristic, complemented
177C5⋊#401C2211yescharacteristic, complemented
178#64949C2211yescharacteristic, complemented
179#64949C2211yescharacteristic, complemented
180#64949C2211yescharacteristic, complemented
181#64947C2211yescharacteristic, complemented
182#64944C2211yescharacteristic, complemented
183#64943C2211yescharacteristic, complemented
184#64940C2211yescharacteristic, complemented
185#64939C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36758—51nomaximal, Sylow
188C25×C5C2311yescharacteristic
189C24×D5C2311yescharacteristic
190C22×C5×D4C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C22×C22⋊D5—24no—
197C22×C22⋊D5—42no—
198C22×C22⋊D5—42no—
199C22×C22⋊D5C2311yescharacteristic
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
211C23×Dic5C2311yescharacteristic
212C22×D20C2311yescharacteristic
213C22×D20C2311yescharacteristic
214C22×C4×D5—42no—
215C22×C4×D5—42no—
216C22×C4×D5—42no—
217C22×C4×D5C2311yescharacteristic
218C22×C4×D5C2311yescharacteristic
219C22×C4×D5C2311yescharacteristic
220C22×C4×D5C2311yescharacteristic
221C22×C4×D5C2311yescharacteristic
222C22×Dic10C2311yescharacteristic
223C5×#123—42no—
224C5×#120—42no—
225C4×C5×D4—42no—
226C2×C5×C4⋊C4C2311yescharacteristic
227C2×C5×C4⋊C4C2311yescharacteristic
228C2×C5×C4⋊C4C2311yescharacteristic
229C2×C5×C4⋊C4C2311yescharacteristic
230C2×C5×C4⋊C4C2311yescharacteristic
231C2×C5×C22⋊C4—42no—
232C2×C5×C22⋊C4C2311yescharacteristic
233C2×C5×C22⋊C4C2311yescharacteristic
234C2×C5×C22⋊C4C2311yescharacteristic
235C2×C5×C22⋊C4C2311yescharacteristic
236C2×C5×C22⋊C4C2311yescharacteristic
237C2×C5×C22⋊C4C2311yescharacteristic
238C2×C5×C22⋊C4C2311yescharacteristic
239C2×C5×C22⋊C4C2311yescharacteristic
240C2×C5×C22⋊C4C2311yescharacteristic
241C2×C5×C22⋊C4C2311yescharacteristic
242C2×C5×C22⋊C4C2311yescharacteristic
243C2×C5×C22⋊C4C2311yescharacteristic
244C2×C5×C22⋊C4C2311yescharacteristic
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C5×C22⋊C4C2311yescharacteristic
248C2×C42×C5C2311yescharacteristic
249#4099—42no—
250C2×C22⋊Dic5—42no—
251C2×C22⋊Dic5C2311yescharacteristic
252C2×C22⋊Dic5C2311yescharacteristic
253C2×C22⋊Dic5C2311yescharacteristic
254C2×C22⋊Dic5C2311yescharacteristic
255C2×C22⋊Dic5C2311yescharacteristic
256C2×C22⋊Dic5C2311yescharacteristic
257C2×C22⋊Dic5C2311yescharacteristic
258C2×C22⋊Dic5C2311yescharacteristic
259C2×C22⋊Dic5C2311yescharacteristic
260C2×C22⋊Dic5C2311yescharacteristic
261C2×C22⋊Dic5C2311yescharacteristic
262C2×C22⋊Dic5C2311yescharacteristic
263C2×C22⋊Dic5C2311yescharacteristic
264C2×C22⋊Dic5C2311yescharacteristic
265C2×C22⋊Dic5C2311yescharacteristic
266C2×C22⋊Dic5C2311yescharacteristic
267C2×C22⋊Dic5C2311yescharacteristic
268C2×C22⋊Dic5C2311yescharacteristic
269#4085—42no—
270#4084—42no—
271#4083—24no—
272#4081—42no—
273C2×#685—42no—
274C2×#685C2311yescharacteristic
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×C4⋊Dic5C2311yescharacteristic
299C2×C4⋊Dic5C2311yescharacteristic
300C2×C4⋊Dic5C2311yescharacteristic
301C2×C4⋊Dic5C2311yescharacteristic
302C2×C4⋊Dic5C2311yescharacteristic
303C2×C4⋊Dic5C2311yescharacteristic
304C2×C4⋊Dic5C2311yescharacteristic
305#4070—42no—
306C2×#683C2311yescharacteristic
307C2×#683C2311yescharacteristic
308C2×#683C2311yescharacteristic
309C2×#683C2311yescharacteristic
310C2×#683C2311yescharacteristic
311C2×#683C2311yescharacteristic
312C2×#683C2311yescharacteristic
313C2×#683C2311yescharacteristic
314C2×#683C2311yescharacteristic
315C2×#683C2311yescharacteristic
316C2×C4×Dic5C2311yescharacteristic
317C2×C4×Dic5C2311yescharacteristic
318C2×C4×Dic5C2311yescharacteristic
319C2×C4×Dic5C2311yescharacteristic
320C2×C4×Dic5C2311yescharacteristic
321#4043—42no—
322#4043—42no—
323#4032—42no—
324#4031—42no—
325#4030—42no—
326#4030—42no—
327#4028—24no—
328#4027—42no—
329#4025—42no—
330C5×#95C2311yescharacteristic
331C5×#95C2311yescharacteristic
332C5×#95C2311yescharacteristic
333C5×#95C2311yescharacteristic
334C5×#95C2311yescharacteristic
335C5×#95C2311yescharacteristic
336#3963C2311yescharacteristic
337#3963C2311yescharacteristic
338#3963C2311yescharacteristic
339#3963C2311yescharacteristic
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#2848—51no—
371#2847—51no—
372#2797—51no—
373#2781—51no—
374#2779—51no—
375#2778—51no—
376#2778—51no—
377#2756—51no—
378#2753—51no—
379#2749—51no—
380#2741—51no—
381#2730—51no—
382#2714—51no—
383#2703—51no—
384#2702—51no—
385#2696—51no—
386#2688—51no—
387#2676—51no—
388#2613—51no—
389#2613—51no—
390#2493—51no—
391#2488—51no—
392#2480—51no—
393#2472—51no—
394#2425—51no—
395#2424—51no—
396#2419—51no—
397#2418D511yescharacteristic, complemented
398#2321—51no—
399#2321—51no—
400C2×#386—51no—
401C24×C5—22no—
402C24×C5—22no—
403C24×C5—22no—
404C24×C5—41no—
405C24×C5—41no—
406C24×C5—41no—
407C24×C5—41no—
408C24×C5C2411yescharacteristic
409C24×C5C2411yescharacteristic
410C24×C5C2411yescharacteristic
411C24×C5C2411yescharacteristic
412C23×D5—22no—
413C23×D5—22no—
414C23×D5—41no—
415C23×D5—41no—
416C23×D5—41no—
417C23×D5—41no—
418C23×D5#4114yes—
419C23×D5C2411yescharacteristic
420C23×D5C2411yescharacteristic
421C23×D5C2411yescharacteristic
422C2×C5×D4—22no—
423C2×C5×D4—22no—
424C2×C5×D4—22no—
425C2×C5×D4—41no—
426C2×C5×D4—41no—
427C2×C5×D4—41no—
428C2×C5×D4—41no—
429C2×C5×D4—41no—
430C2×C5×D4—41no—
431C22×C4×C5—22no—
432C22×C4×C5—22no—
433C22×C4×C5—22no—
434C22×C4×C5—41no—
435C22×C4×C5—41no—
436C22×C4×C5—41no—
437C22×C4×C5—41no—
438C22×C4×C5—41no—
439C22×C4×C5—41no—
440C22×C4×C5C2411yescharacteristic
441C22×C4×C5C2411yescharacteristic
442C22×C4×C5C2411yescharacteristic
443C22×C4×C5C2411yescharacteristic
444C22×C4×C5C2411yescharacteristic
445C22×C4×C5C2411yescharacteristic
446C22×C4×C5C2411yescharacteristic
447C22×C4×C5C2411yescharacteristic
448C22×C4×C5C2411yescharacteristic
449C22×C4×C5C2411yescharacteristic
450C22×C4×C5C2411yescharacteristic
451C2×C22⋊D5—22no—
452C2×C22⋊D5—22no—
453C2×C22⋊D5—22no—
454C2×C22⋊D5—22no—
455C2×C22⋊D5—22no—
456C2×C22⋊D5—22no—
457C2×C22⋊D5—22no—
458C2×C22⋊D5—22no—
459C2×C22⋊D5—22no—
460C2×C22⋊D5—22no—
461C2×C22⋊D5—41no—
462C2×C22⋊D5—41no—
463C2×C22⋊D5—41no—
464C2×C22⋊D5—41no—
465C2×C22⋊D5—41no—
466C2×C22⋊D5—41no—
467C2×C22⋊D5—41no—
468C2×C22⋊D5—41no—
469C2×C22⋊D5—41no—
470C2×C22⋊D5—41no—
471C2×C22⋊D5—41no—
472C2×C22⋊D5—41no—
473C2×C22⋊D5—41no—
474C2×C22⋊D5—41no—
475C2×C22⋊D5—41no—
476C2×C22⋊D5—41no—
477C2×C22⋊D5—41no—
478C2×C22⋊D5—41no—
479C2×C22⋊D5—41no—
480C2×C22⋊D5—41no—
481C2×C22⋊D5—416no—
482C22×Dic5—22no—
483C22×Dic5—22no—
484C22×Dic5—22no—
485C22×Dic5—22no—
486C22×Dic5—22no—
487C22×Dic5—22no—
488C22×Dic5—41no—
489C22×Dic5—41no—
490C22×Dic5—41no—
491C22×Dic5C2411yescharacteristic
492C22×Dic5C2411yescharacteristic
493C22×Dic5C2411yescharacteristic
494C22×Dic5C2411yescharacteristic
495C22×Dic5C2411yescharacteristic
496C22×Dic5C2411yescharacteristic
497C22×Dic5C2411yescharacteristic
498C22×Dic5C2411yescharacteristic
499C22×Dic5C2411yescharacteristic
500C22×Dic5C2411yescharacteristic
501C22×Dic5C2411yescharacteristic
502C22×Dic5C2411yescharacteristic
503C22×Dic5C2411yescharacteristic
504C2×D20—22no—
505C2×D20—22no—
506C2×D20—41no—
507C2×D20—41no—
508C2×D20—41no—
509C2×D20—41no—
510C2×C4×D5—22no—
511C2×C4×D5—22no—
512C2×C4×D5—22no—
513C2×C4×D5—22no—
514C2×C4×D5—41no—
515C2×C4×D5—41no—
516C2×C4×D5—41no—
517C2×C4×D5—41no—
518C2×C4×D5—41no—
519C2×C4×D5—41no—
520C2×C4×D5—41no—
521C2×C4×D5—41no—
522C2×C4×D5—416no—
523C2×C4×D5—41no—
524C2×C4×D5—41no—
525C2×C4×D5—41no—
526C2×Dic10—22no—
527C2×Dic10—41no—
528C2×Dic10—41no—
529C5×C4⋊C4—22no—
530C5×C4⋊C4—41no—
531C5×C4⋊C4—41no—
532C5×C4⋊C4—41no—
533C5×C4⋊C4—41no—
534C5×C22⋊C4—22no—
535C5×C22⋊C4—22no—
536C5×C22⋊C4—22no—
537C5×C22⋊C4—22no—
538C5×C22⋊C4—22no—
539C5×C22⋊C4—22no—
540C5×C22⋊C4—41no—
541C5×C22⋊C4—41no—
542C5×C22⋊C4—41no—
543C5×C22⋊C4—41no—
544C5×C22⋊C4—41no—
545C5×C22⋊C4—41no—
546C5×C22⋊C4—41no—
547C5×C22⋊C4—41no—
548C5×C22⋊C4—41no—
549C5×C22⋊C4—41no—
550C42×C5—41no—
551C22⋊Dic5—22no—
552C22⋊Dic5—22no—
553C22⋊Dic5—22no—
554C22⋊Dic5—22no—
555C22⋊Dic5—22no—
556C22⋊Dic5—41no—
557C22⋊Dic5—41no—
558C22⋊Dic5—41no—
559C22⋊Dic5—41no—
560C22⋊Dic5—41no—
561C22⋊Dic5—41no—
562C22⋊Dic5—41no—
563C22⋊Dic5—41no—
564C22⋊Dic5—41no—
565C22⋊Dic5—41no—
566C22⋊Dic5—41no—
567C22⋊Dic5—41no—
568C22⋊Dic5—41no—
569#685—22no—
570#685—22no—
571#685—22no—
572#685—22no—
573#685—22no—
574#685—41no—
575#685—41no—
576#685—41no—
577#685—41no—
578#685—41no—
579#685—41no—
580#685—41no—
581#685—41no—
582#685—41no—
583#685—41no—
584#685—41no—
585#685—41no—
586#685—41no—
587#685—41no—
588#685—41no—
589#685—41no—
590#685—41no—
591#685—41no—
592#685—41no—
593C4⋊Dic5—22no—
594C4⋊Dic5—22no—
595C4⋊Dic5—41no—
596C4⋊Dic5—41no—
597C4⋊Dic5—41no—
598C4⋊Dic5—41no—
599C4⋊Dic5—41no—
600#683—22no—
601#683—41no—
602#683—41no—
603#683—41no—
604#683—41no—
605#683—41no—
606#683—41no—
607#683—41no—
608#683—41no—
609#683—41no—
610C4×Dic5—41no—
611C4×Dic5—41no—
612C4×Dic5—41no—
613C4×Dic5—41no—
614C4×Dic5—41no—
615C23×D4—51no—
616C24×C4—51no—
617C2×#126—51no—
618C2×#124—51no—
619C2×#123—51no—
620C2×#123—51no—
621C2×#123C2×D511yescharacteristic, complemented
622C2×C22⋊Q8—51no—
623C2×C22⋊Q8—51no—
624C2×C22⋊Q8—51no—
625C2×#121—51no—
626C2×#121—51no—
627C2×#121—51no—
628C2×#121—51no—
629C2×#120—51no—
630C2×#120—51no—
631C2×#120—51no—
632C2×#120C2×D511yescharacteristic
633C2×C4×D4—51no—
634C2×C4×D4C2×D511yescharacteristic
635C22×C22⋊C4—51no—
636C22×C22⋊C4—51no—
637C22×C22⋊C4C2×D511yescharacteristic
638#401—51no—
639#400—51no—
640#400—51no—
641#400—51no—
642#400—51no—
643#400—51no—
644#400—51no—
645#399C2×D511yescharacteristic, complemented
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#397C2×D511yescharacteristic, complemented
657#396—51no—
658#396—51no—
659#396—51no—
660#394—51no—
661#394—51no—
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#394—51no—
672#394—51no—
673#394C2×D511yescharacteristic, complemented
674#394C2×D511yescharacteristic, complemented
675#393—51no—
676#393—51no—
677#392—51no—
678#392—51no—
679#392—51no—
680#392—51no—
681#392—51no—
682#392—51no—
683#392—51no—
684#392—51no—
685#392—51no—
686#391—51no—
687#390—51no—
688#390—51no—
689#390—51no—
690#390—51no—
691#390—51no—
692#390—51no—
693#389—51no—
694#388—51no—
695#388—51no—
696#388—51no—
697#388—51no—
698#388—51no—
699#388—51no—
700#388—51no—
701#388—51no—
702#388—51no—
703#388—51no—
704#388—51no—
705#388—51no—
706#388—51no—
707#388—51no—
708#388—51no—
709#388—51no—
710#388—51no—
711#388C2×D511yescharacteristic, complemented
712#388C2×D511yescharacteristic, complemented
713#387—51no—
714#387—51no—
715#387—51no—
716#387—51no—
717#387—51no—
718#386—51no—
719#386—51no—
720#386—51no—
721#386—51no—
722#386—51no—
723#386—51no—
724#386—51no—
725#386—51no—
726#386—51no—
727#386—51no—
728#386—51no—
729#386—51no—
730#386—51no—
731#386—51no—
732#386—51no—
733#386—51no—
734#386—51no—
735#386—51no—
736#386—51no—
737#386—51no—
738#386—51no—
739#386C2×D511yescharacteristic
740#386C2×D511yescharacteristic, complemented
741#385—51no—
742#385—51no—
743#385—51no—
744#385—51no—
745#385—51no—
746#385—51no—
747#385—51no—
748#385—51no—
749#385C2×D511yescharacteristic
750#383—51no—
751#382—51no—
752#381—51no—
753#381—51no—
754#381—51no—
755#380—51no—
756#380—51no—
757#380—51no—
758#380—51no—
759#380—51no—
760#380—51no—
761#380C2×D511yescharacteristic
762#379—51no—
763#379—51no—
764#379—51no—
765#379C2×D511yescharacteristic
766C4×C22⋊C4—51no—
767C4×C22⋊C4—51no—
768C2×#95—51no—
769C2×#95—51no—
770C23×C5—21no—
771C23×C5—21no—
772C23×C5—21no—
773C23×C5—21no—
774C23×C5—21no—
775C23×C5—21no—
776C23×C5—21no—
777C23×C5—21no—
778C23×C5—21no—
779C23×C5—21no—
780C23×C5—21no—
781C23×C5—21no—
782C23×C5—21no—
783C23×C5—21no—
784C23×C5—21no—
785C23×C5—21no—
786C23×C5—21no—
787C23×C5—21no—
788C23×C5—21no—
789C23×C5—21no—
790C23×C5—21no—
791C23×C5—21no—
792C23×C5—21no—
793C23×C5—21no—
794C23×C5—21no—
795C23×C5—44no—
796C23×C5—44no—
797C23×C5—44no—
798C23×C5—82no—
799C23×C5—82no—
800C23×C5—82no—
801C23×C5—82no—
802C23×C5C2×#4112yes—
803C23×C5H(5,𝔽2)12yes—
804C23×C5H(5,𝔽2)12yes—
805C23×C5C2511yescharacteristic
806C22×D5—28no—
807C22×D5—21no—
808C22×D5—21no—
809C22×D5—21no—
810C22×D5—21no—
811C22×D5—21no—
812C22×D5—21no—
813C22×D5—21no—
814C22×D5—21no—
815C22×D5—21no—
816C22×D5—21no—
817C22×D5—21no—
818C22×D5—21no—
819C22×D5—21no—
820C22×D5—21no—
821C22×D5—21no—
822C22×D5—21no—
823C22×D5—21no—
824C22×D5—21no—
825C22×D5—21no—
826C22×D5—44no—
827C22×D5—44no—
828C22×D5—44no—
829C22×D5—44no—
830C22×D5—44no—
831C22×D5—44no—
832C22×D5C2×#4112yes—
833C22×D5C2×#4112yes—
834C5×D4—44no—
835C5×D4—82no—
836C5×D4—82no—
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—21no—
858C2×C4×C5—21no—
859C2×C4×C5—21no—
860C2×C4×C5—21no—
861C2×C4×C5—21no—
862C2×C4×C5—21no—
863C2×C4×C5—21no—
864C2×C4×C5—21no—
865C2×C4×C5—21no—
866C2×C4×C5—21no—
867C2×C4×C5—21no—
868C2×C4×C5—21no—
869C2×C4×C5—44no—
870C2×C4×C5—82no—
871C2×C4×C5—82no—
872C2×C4×C5H(5,𝔽2)12yes—
873C22⋊D5—44no—
874C22⋊D5—44no—
875C22⋊D5—44no—
876C22⋊D5—44no—
877C22⋊D5—44no—
878C22⋊D5—82no—
879C22⋊D5—82no—
880C22⋊D5—82no—
881C22⋊D5—82no—
882C22⋊D5—82no—
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—21no—
899C2×Dic5—21no—
900C2×Dic5—21no—
901C2×Dic5—21no—
902C2×Dic5—21no—
903C2×Dic5—21no—
904C2×Dic5—21no—
905C2×Dic5—21no—
906C2×Dic5—21no—
907C2×Dic5—21no—
908C2×Dic5—21no—
909C2×Dic5—21no—
910C2×Dic5—21no—
911C2×Dic5—21no—
912C2×Dic5—21no—
913C2×Dic5—21no—
914C2×Dic5—21no—
915C2×Dic5—21no—
916C2×Dic5—21no—
917C2×Dic5—21no—
918C2×Dic5—21no—
919C2×Dic5—21no—
920C2×Dic5—21no—
921C2×Dic5—44no—
922C2×Dic5—44no—
923C2×Dic5—82no—
924C2×Dic5H(5,𝔽2)12yes—
925D20—82no—
926D20—82no—
927C4×D5—44no—
928C4×D5—44no—
929C4×D5—44no—
930C4×D5—44no—
931C4×D5—82no—
932Dic10—82no—
933C25—51no—
934C25C22×D511yescharacteristic
935C22×Q8—51no—
936C22×D4—51no—
937C22×D4—51no—
938C22×D4—51no—
939C22×D4—51no—
940C22×D4—51no—
941C22×D4—51no—
942C22×D4—51no—
943C22×D4—51no—
944C22×D4—51no—
945C22×D4—51no—
946C22×D4—51no—
947C22×D4—51no—
948C22×D4—104no—
949C22×D4—202no—
950C22×D4—202no—
951C22×D4C22×D511yescharacteristic
952C22×D4C22×D511yescharacteristic
953C22×D4C22×D511yescharacteristic
954C23×C4—51no—
955C23×C4—51no—
956C23×C4—51no—
957C23×C4—51no—
958C23×C4—51no—
959C23×C4—51no—
960C23×C4—51no—
961C23×C4—51no—
962C23×C4—202no—
963C23×C4—202no—
964C23×C4—202no—
965C23×C4C22×D511yescharacteristic
966C23×C4C22×D511yescharacteristic
967C23×C4C22×D511yescharacteristic
968#126—202no—
969#124—202no—
970#123—42no—
971#123—202no—
972#123—202no—
973C22⋊Q8—202no—
974C22⋊Q8—202no—
975C22⋊Q8—202no—
976#121—202no—
977#121—202no—
978#121—202no—
979#121—202no—
980#120—42no—
981#120—104no—
982#120—104no—
983#120—202no—
984C4×D4—42no—
985C4×D4—202no—
986C2×C4⋊C4—51no—
987C2×C4⋊C4—51no—
988C2×C4⋊C4—51no—
989C2×C4⋊C4—51no—
990C2×C4⋊C4—51no—
991C2×C4⋊C4—51no—
992C2×C4⋊C4—51no—
993C2×C4⋊C4—51no—
994C2×C4⋊C4—51no—
995C2×C4⋊C4—51no—
996C2×C4⋊C4—51no—
997C2×C4⋊C4—51no—
998C2×C4⋊C4—51no—
999C2×C4⋊C4—51no—
1000C2×C4⋊C4—51no—
1001C2×C4⋊C4—51no—
1002C2×C4⋊C4—51no—
1003C2×C4⋊C4C22×D511yescharacteristic
1004C2×C4⋊C4C22×D511yescharacteristic
1005C2×C4⋊C4C22×D511yescharacteristic
1006C2×C4⋊C4C22×D511yescharacteristic
1007C2×C4⋊C4C22×D511yescharacteristic
1008C2×C22⋊C4—42no—
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—51no—
1037C2×C22⋊C4—51no—
1038C2×C22⋊C4—51no—
1039C2×C22⋊C4—51no—
1040C2×C22⋊C4—51no—
1041C2×C22⋊C4—51no—
1042C2×C22⋊C4—51no—
1043C2×C22⋊C4—51no—
1044C2×C22⋊C4—51no—
1045C2×C22⋊C4—51no—
1046C2×C22⋊C4—51no—
1047C2×C22⋊C4—51no—
1048C2×C22⋊C4—51no—
1049C2×C22⋊C4—51no—
1050C2×C22⋊C4—51no—
1051C2×C22⋊C4—202no—
1052C2×C22⋊C4—202no—
1053C2×C22⋊C4C22×D511yescharacteristic
1054C2×C22⋊C4C22×D511yescharacteristic
1055C2×C22⋊C4C22×D511yescharacteristic
1056C2×C22⋊C4C22×D511yescharacteristic
1057C2×C22⋊C4C22×D511yescharacteristic
1058C2×C22⋊C4C22×D511yescharacteristic
1059C2×C22⋊C4C22×D511yescharacteristic
1060C2×C22⋊C4C22×D511yescharacteristic
1061C2×C22⋊C4C22×D511yescharacteristic
1062C2×C22⋊C4C22×D511yescharacteristic
1063C2×C22⋊C4C22×D511yescharacteristic
1064C2×C22⋊C4C22×D511yescharacteristic
1065C2×C22⋊C4C22×D511yescharacteristic
1066C2×C22⋊C4C22×D511yescharacteristic
1067C2×C22⋊C4C22×D511yescharacteristic
1068C2×C22⋊C4C22×D511yescharacteristic
1069C2×C42—51no—
1070C2×C42—51no—
1071C2×C42—51no—
1072C2×C42—51no—
1073C2×C42—51no—
1074C2×C42C22×D511yescharacteristic
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#95—51no—
1085#95—51no—
1086#95—51no—
1087#95—51no—
1088#95—51no—
1089#95—51no—
1090#95—51no—
1091#95—51no—
1092#95—51no—
1093#95—51no—
1094#95—51no—
1095#95—51no—
1096#95—51no—
1097#95—51no—
1098#95—51no—
1099#95—51no—
1100#95—51no—
1101#95—51no—
1102#95—51no—
1103#95—51no—
1104#95—51no—
1105#95—51no—
1106#95—51no—
1107#95—51no—
1108#95—51no—
1109#95C22×D511yescharacteristic
1110#95C22×D511yescharacteristic
1111#95C22×D511yescharacteristic
1112#95C22×D511yescharacteristic
1113#95C22×D511yescharacteristic
1114#95C22×D511yescharacteristic
1115C22×C5—22no—
1116C22×C5—22no—
1117C22×C5—22no—
1118C22×C5—22no—
1119C22×C5—22no—
1120C22×C5—22no—
1121C22×C5—41no—
1122C22×C5—41no—
1123C22×C5—41no—
1124C22×C5—41no—
1125C22×C5—41no—
1126C22×C5—41no—
1127C22×C5—41no—
1128C22×C5—41no—
1129C22×C5—41no—
1130C22×C5—41no—
1131C22×C5—41no—
1132C22×C5—41no—
1133C22×C5—41no—
1134C22×C5—41no—
1135C22×C5—41no—
1136C22×C5—41no—
1137C22×C5—41no—
1138C22×C5—41no—
1139C22×C5—41no—
1140C22×C5—41no—
1141C22×C5—41no—
1142C22×C5—88no—
1143C22×C5#53814yes—
1144C22×C5C22×#4111yescharacteristic
1145C22×C5C2×H(5,𝔽2)11yescharacteristic
1146C22×C5C2×H(5,𝔽2)11yescharacteristic
1147C22×C5C2×H(5,𝔽2)11yescharacteristic
1148C22×C5C2×H(5,𝔽2)11yescharacteristic
1149C22×C5#58511yescharacteristic
1150C22×C5#58511yescharacteristic
1151C2×D5—22no—
1152C2×D5—22no—
1153C2×D5—22no—
1154C2×D5—22no—
1155C2×D5—22no—
1156C2×D5—22no—
1157C2×D5—416no—
1158C2×D5—41no—
1159C2×D5—41no—
1160C2×D5—41no—
1161C2×D5—41no—
1162C2×D5—41no—
1163C2×D5—41no—
1164C2×D5—41no—
1165C2×D5—41no—
1166C2×D5—41no—
1167C2×D5—41no—
1168C2×D5—41no—
1169C2×D5—41no—
1170C2×D5—41no—
1171C2×D5—41no—
1172C2×D5—41no—
1173C4×C5—22no—
1174C4×C5—41no—
1175C4×C5—41no—
1176C4×C5—41no—
1177C4×C5—41no—
1178C4×C5—41no—
1179C4×C5—41no—
1180C4×C5—41no—
1181C4×C5—41no—
1182C4×C5—41no—
1183C4×C5—41no—
1184Dic5—22no—
1185Dic5—41no—
1186Dic5—41no—
1187Dic5—41no—
1188Dic5—41no—
1189Dic5—41no—
1190Dic5—41no—
1191Dic5—41no—
1192Dic5—41no—
1193Dic5—41no—
1194Dic5—41no—
1195Dic5—41no—
1196Dic5—41no—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—41no—
1204C24—51no—
1205C24—51no—
1206C24—54no—
1207C24—51no—
1208C24—102no—
1209C24—102no—
1210C24—201no—
1211C24—201no—
1212C24—201no—
1213C24—201no—
1214C24C23×D511yescharacteristic
1215C24C23×D511yescharacteristic
1216C24C23×D511yescharacteristic
1217C24C23×D511yescharacteristic
1218C2×Q8—102no—
1219C2×Q8—201no—
1220C2×Q8—201no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—102no—
1231C2×D4—102no—
1232C2×D4—102no—
1233C2×D4—102no—
1234C2×D4—102no—
1235C2×D4—102no—
1236C2×D4—102no—
1237C2×D4—102no—
1238C2×D4—102no—
1239C2×D4—102no—
1240C2×D4—102no—
1241C2×D4—102no—
1242C2×D4—201no—
1243C2×D4—201no—
1244C2×D4—201no—
1245C2×D4—201no—
1246C2×D4—201no—
1247C2×D4—201no—
1248C2×D4—201no—
1249C2×D4—201no—
1250C2×D4—201no—
1251C2×D4—201no—
1252C2×D4—201no—
1253C2×D4—201no—
1254C2×D4—201no—
1255C2×D4—201no—
1256C2×D4—201no—
1257C2×D4—201no—
1258C2×D4—201no—
1259C2×D4—201no—
1260C2×D4—201no—
1261C2×D4—201no—
1262C2×D4—201no—
1263C2×D4—201no—
1264C2×D4—201no—
1265C2×D4—201no—
1266C2×D4—2016no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—51no—
1277C22×C4—51no—
1278C22×C4—51no—
1279C22×C4—51no—
1280C22×C4—51no—
1281C22×C4—51no—
1282C22×C4—51no—
1283C22×C4—51no—
1284C22×C4—51no—
1285C22×C4—51no—
1286C22×C4—51no—
1287C22×C4—51no—
1288C22×C4—51no—
1289C22×C4—102no—
1290C22×C4—102no—
1291C22×C4—102no—
1292C22×C4—102no—
1293C22×C4—102no—
1294C22×C4—102no—
1295C22×C4—102no—
1296C22×C4—102no—
1297C22×C4—102no—
1298C22×C4—102no—
1299C22×C4—201no—
1300C22×C4—201no—
1301C22×C4—201no—
1302C22×C4—201no—
1303C22×C4—201no—
1304C22×C4—201no—
1305C22×C4—201no—
1306C22×C4—201no—
1307C22×C4—201no—
1308C22×C4—201no—
1309C22×C4—201no—
1310C22×C4—2016no—
1311C22×C4—201no—
1312C22×C4—201no—
1313C22×C4—201no—
1314C22×C4C23×D511yescharacteristic
1315C22×C4C23×D511yescharacteristic
1316C22×C4C23×D511yescharacteristic
1317C22×C4C23×D511yescharacteristic
1318C22×C4C23×D511yescharacteristic
1319C22×C4C23×D511yescharacteristic
1320C22×C4C23×D511yescharacteristic
1321C22×C4C23×D511yescharacteristic
1322C22×C4C23×D511yescharacteristic
1323C22×C4C23×D511yescharacteristic
1324C22×C4C23×D511yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—102no—
1331C4⋊C4—102no—
1332C4⋊C4—102no—
1333C4⋊C4—201no—
1334C4⋊C4—201no—
1335C4⋊C4—201no—
1336C4⋊C4—201no—
1337C4⋊C4—201no—
1338C4⋊C4—201no—
1339C4⋊C4—201no—
1340C4⋊C4—201no—
1341C4⋊C4—201no—
1342C4⋊C4—201no—
1343C4⋊C4—201no—
1344C4⋊C4—201no—
1345C4⋊C4—201no—
1346C4⋊C4—201no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—102no—
1364C22⋊C4—102no—
1365C22⋊C4—102no—
1366C22⋊C4—102no—
1367C22⋊C4—102no—
1368C22⋊C4—102no—
1369C22⋊C4—102no—
1370C22⋊C4—102no—
1371C22⋊C4—102no—
1372C22⋊C4—102no—
1373C22⋊C4—201no—
1374C22⋊C4—201no—
1375C22⋊C4—201no—
1376C22⋊C4—201no—
1377C22⋊C4—201no—
1378C22⋊C4—201no—
1379C22⋊C4—201no—
1380C22⋊C4—201no—
1381C22⋊C4—201no—
1382C22⋊C4—201no—
1383C22⋊C4—201no—
1384C22⋊C4—201no—
1385C22⋊C4—201no—
1386C22⋊C4—201no—
1387C22⋊C4—201no—
1388C22⋊C4—201no—
1389C22⋊C4—201no—
1390C22⋊C4—201no—
1391C22⋊C4—201no—
1392C22⋊C4—201no—
1393C22⋊C4—201no—
1394C22⋊C4—201no—
1395C22⋊C4—201no—
1396C22⋊C4—201no—
1397C22⋊C4—201no—
1398C22⋊C4—201no—
1399C22⋊C4—201no—
1400C22⋊C4—201no—
1401C22⋊C4—201no—
1402C22⋊C4—201no—
1403C22⋊C4—201no—
1404C22⋊C4—201no—
1405C42—41no—
1406C42—201no—
1407C42—201no—
1408C42—201no—
1409C42—201no—
1410C42—201no—
1411C2×C5—24no—
1412C2×C5—81no—
1413C2×C5—81no—
1414C2×C5—81no—
1415C2×C5C2×#53811yescharacteristic
1416C2×C5#350511yescharacteristic
1417C2×C5#350511yescharacteristic
1418C2×C5#353211yescharacteristic
1419C2×C5#353311yescharacteristic
1420C2×C5#354211yescharacteristic
1421C2×C5#354211yescharacteristic
1422D5—42no—
1423D5—42no—
1424D5—81no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—44no—
1451C23—44no—
1452C23—44no—
1453C23—52no—
1454C23—52no—
1455C23—82no—
1456C23—82no—
1457C23—82no—
1458C23—82no—
1459C23—108no—
1460C23—101no—
1461C23—101no—
1462C23—101no—
1463C23—101no—
1464C23—101no—
1465C23—101no—
1466C23—101no—
1467C23—101no—
1468C23—101no—
1469C23—101no—
1470C23—101no—
1471C23—101no—
1472C23—101no—
1473C23—101no—
1474C23—101no—
1475C23—101no—
1476C23—101no—
1477C23—101no—
1478C23—101no—
1479C23—204no—
1480C23—204no—
1481C23—204no—
1482C23—204no—
1483C23—204no—
1484C23—204no—
1485C23#414412yes—
1486C23D5×#4112yes—
1487C23#414912yes—
1488C23C24×D511yescharacteristic
1489Q8—402no—
1490D4—44no—
1491D4—82no—
1492D4—82no—
1493D4—204no—
1494D4—204no—
1495D4—204no—
1496D4—204no—
1497D4—204no—
1498D4—402no—
1499D4—402no—
1500D4—402no—
1501D4—402no—
1502D4—402no—
1503D4—402no—
1504D4—402no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—44no—
1538C2×C4—52no—
1539C2×C4—82no—
1540C2×C4—82no—
1541C2×C4—101no—
1542C2×C4—101no—
1543C2×C4—101no—
1544C2×C4—101no—
1545C2×C4—101no—
1546C2×C4—101no—
1547C2×C4—101no—
1548C2×C4—101no—
1549C2×C4—101no—
1550C2×C4—101no—
1551C2×C4—101no—
1552C2×C4—101no—
1553C2×C4—101no—
1554C2×C4—101no—
1555C2×C4—101no—
1556C2×C4—101no—
1557C2×C4—101no—
1558C2×C4—101no—
1559C2×C4—101no—
1560C2×C4—101no—
1561C2×C4—101no—
1562C2×C4—101no—
1563C2×C4—101no—
1564C2×C4—101no—
1565C2×C4—101no—
1566C2×C4—101no—
1567C2×C4—101no—
1568C2×C4—101no—
1569C2×C4—101no—
1570C2×C4—101no—
1571C2×C4—101no—
1572C2×C4—101no—
1573C2×C4—101no—
1574C2×C4—101no—
1575C2×C4—101no—
1576C2×C4—101no—
1577C2×C4—101no—
1578C2×C4—101no—
1579C2×C4—204no—
1580C2×C4—204no—
1581C2×C4—204no—
1582C2×C4—204no—
1583C2×C4—204no—
1584C2×C4—204no—
1585C2×C4—402no—
1586C2×C4—402no—
1587C2×C4#414412yes—
1588C5#3675811yescharacteristic, complemented, Sylow
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—88no—
1617C22—102no—
1618C22—102no—
1619C22—102no—
1620C22—102no—
1621C22—102no—
1622C22—102no—
1623C22—2016no—
1624C22—201no—
1625C22—201no—
1626C22—201no—
1627C22—201no—
1628C22—201no—
1629C22—201no—
1630C22—201no—
1631C22—201no—
1632C22—201no—
1633C22—201no—
1634C22—201no—
1635C22—201no—
1636C22—201no—
1637C22—201no—
1638C22—201no—
1639C22#6599114yes—
1640C22C2×#414411yescharacteristic
1641C22C2×#414411yescharacteristic
1642C22C2×D5×#4111yescharacteristic
1643C22C2×#414911yescharacteristic
1644C22#6628311yescharacteristic
1645C22D5×H(5,𝔽2)11yescharacteristic
1646C22#6628511yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—102no—
1659C4—201no—
1660C4—201no—
1661C4—201no—
1662C4—201no—
1663C4—201no—
1664C4—201no—
1665C4—201no—
1666C4—201no—
1667C4—201no—
1668C4—201no—
1669C4—201no—
1670C4—201no—
1671C2—24no—
1672C2—81no—
1673C2—81no—
1674C2—81no—
1675C2—202no—
1676C2—202no—
1677C2—401no—
1678C2C2×#6599111yescharacteristic
1679C2#1061794511yescharacteristic
1680C2#1061831611yescharacteristic
1681C2#1061851611yescharacteristic
1682C2#1061855111yescharacteristic
1683C2#1061856811yescharacteristic
1684C2#1061872011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2418C2
hypercenter#2418D5
hypocenterC5#36758
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C5×#2418C2semidirect
2. #10614640C2semidirect
3. #10614609C2semidirect
4. #10614338C2semidirect
5. #10614317C2semidirect
6. #10614126C2semidirect
7. #10614086C2semidirect
8. C2×#65245C2semidirect
9. #10613842C2semidirect
10. #10609806C2semidirect
11. #10609804C2semidirect
12. #10609444C2semidirect
13. #10609359C2semidirect
14. #10608888C2semidirect
15. #10608792C2semidirect
16. #10608767C2semidirect
17. #10608734C2semidirect
18. #10607680C2semidirect
19. #10607504C2semidirect
20. #10607464C2semidirect
21. #10607413C2semidirect
22. #10606666C2semidirect
23. #10606663C2semidirect
24. #10606654C2semidirect
25. #10606471C2semidirect
26. #10606323C2semidirect
27. #10606189C2semidirect
28. #10605780C2semidirect
29. #10605621C2semidirect
30. #10605586C2semidirect
31. #10605561C2semidirect
34. C2×C5×#123C22semidirect
41. C2×#4084C22semidirect
46. C2×#4043C22semidirect
47. C2×#4043C22semidirect
49. C2×#4031C22semidirect
50. C2×#4030C22semidirect
51. C2×#4030C22semidirect
54. C2×#4025C22semidirect
55. C5×#399C22semidirect
56. C5×#397C22semidirect
57. C5×#394C22semidirect
58. C5×#394C22semidirect
59. C5×#388C22semidirect
60. C5×#388C22semidirect
62. C5×#386C22semidirect
71. #65512C22semidirect
72. #65511C22semidirect
73. #65510C22semidirect
77. #65502C22semidirect
78. #65502C22semidirect
79. #65502C22semidirect
80. #65501C22semidirect
84. #65283C22semidirect
85. #65282C22semidirect
86. #65279C22semidirect
87. #65279C22semidirect
88. #65279C22semidirect
89. #65279C22semidirect
90. #65278C22semidirect
91. #65277C22semidirect
92. #65277C22semidirect
93. #65276C22semidirect
94. #65276C22semidirect
95. #65275C22semidirect
96. #65273C22semidirect
97. #65272C22semidirect
98. #65271C22semidirect
99. #65270C22semidirect
100. #65270C22semidirect
101. #65267C22semidirect
106. #65250C22semidirect
107. #65250C22semidirect
108. #65250C22semidirect
117. #65248C22semidirect
118. #65246C22semidirect
119. #65246C22semidirect
120. #65246C22semidirect
129. #65245C22semidirect
130. #65245C22semidirect
131. #65245C22semidirect
134. #65242C22semidirect
135. #65242C22semidirect
136. #65241C22semidirect
137. #65241C22semidirect
138. #65241C22semidirect
139. #65241C22semidirect
140. #65240C22semidirect
141. #65240C22semidirect
142. #65240C22semidirect
145. #65237C22semidirect
146. #65237C22semidirect
147. #65236C22semidirect
148. #65236C22semidirect
150. #65234C22semidirect
151. #65233C22semidirect
152. #65233C22semidirect
153. #65233C22semidirect
154. #65233C22semidirect
159. #65229C22semidirect
160. #65229C22semidirect
161. #65229C22semidirect
162. #65217C22semidirect
163. #64964C22semidirect
164. #64958C22semidirect
165. #64958C22semidirect
166. #64957C22semidirect
167. #64957C22semidirect
168. #64957C22semidirect
169. #64957C22semidirect
170. #64956C22semidirect
171. #64956C22semidirect
172. #64954C22semidirect
173. #64954C22semidirect
174. #64954C22semidirect
175. #64954C22semidirect
176. #64953C22semidirect
177. C5⋊#401C22semidirect
178. #64949C22semidirect
179. #64949C22semidirect
180. #64949C22semidirect
181. #64947C22semidirect
182. #64944C22semidirect
183. #64943C22semidirect
184. #64940C22semidirect
185. #64939C22semidirect
186. #64935C22semidirect
397. #2418D5semidirect
621. C2×#123C2×D5semidirect
645. #399C2×D5semidirect
656. #397C2×D5semidirect
673. #394C2×D5semidirect
674. #394C2×D5semidirect
711. #388C2×D5semidirect
712. #388C2×D5semidirect
740. #386C2×D5semidirect
1588. C5#36758semidirect

Maximal subgroups

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

subgroupindex
C5×#24182
#106146402
#106146092
#106143382
#106143172
#106141262
#106140862
C2×#652452
#106138422
#106098062
#106098042
#106094442
#106093592
#106088882
#106087922
#106087672
#106087342
#106076802
#106075042
#106074642
#106074132
#106066662
#106066632
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