Finite Group Databasebeta

← #12308125

Subgroups — #12308125

Order 1280.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2482C211yesmaximal, characteristic, complemented
2#10613986C211yesmaximal, characteristic, complemented
3#10613964C211yesmaximal, characteristic, complemented
4#10613837C211yesmaximal, characteristic
5C2×#65239C211yesmaximal, characteristic, complemented
6#10609850C211yesmaximal, characteristic, complemented
7#10609819C211yesmaximal, characteristic, complemented
8#10609812C211yesmaximal, characteristic, complemented
9#10609795C211yesmaximal, characteristic, complemented
10#10609370C211yesmaximal, characteristic, complemented
11#10609367C211yesmaximal, characteristic, complemented
12#10609326C211yesmaximal, characteristic, complemented
13#10609301C211yesmaximal, characteristic, complemented
14#10607518C211yesmaximal, characteristic, complemented
15#10607508C211yesmaximal, characteristic, complemented
16#10607505C211yesmaximal, characteristic, complemented
17#10607482C211yesmaximal, characteristic, complemented
18#10607455C211yesmaximal, characteristic, complemented
19#10607429C211yesmaximal, characteristic, complemented
20#10607427C211yesmaximal, characteristic, complemented
21#10607399C211yesmaximal, characteristic, complemented
22#10606356C211yesmaximal, characteristic, complemented
23#10606235C211yesmaximal, characteristic, complemented
24#10606173C211yesmaximal, characteristic, complemented
25#10606153C211yesmaximal, characteristic, complemented
26#10605798C211yesmaximal, characteristic, complemented
27#10605787C211yesmaximal, characteristic, complemented
28#10605578C211yesmaximal, characteristic
29#10605577C211yesmaximal, characteristic, complemented
30#10605562C211yesmaximal, characteristic, complemented
31#10605557C211yesmaximal, characteristic
32C24×Dic5C2211yescharacteristic
33C2×C5×#117C2211yescharacteristic
34C22×C5×C22⋊C4C2211yescharacteristic
35C2×#4099C2211yescharacteristic
36C22×C22⋊Dic5C2211yescharacteristic
37C2×#4075C2211yescharacteristic
38C2×#4072C2211yescharacteristic
39C22×C4⋊Dic5C2211yescharacteristic
40C22×C4⋊Dic5C2211yescharacteristic
41C2×#4043C2211yescharacteristic, complemented
42C2×#4036C2211yescharacteristic, complemented
43C2×#4032C2211yescharacteristic
44C2×#4032C2211yescharacteristic
45C2×#4029C2211yescharacteristic
46C2×#4027C2211yescharacteristic
47C2×#4025C2211yescharacteristic
48C2×#4024C2211yescharacteristic
49C2×#4024C2211yescharacteristic
50C2×#4024C2211yescharacteristic
51C5×#399C2211yescharacteristic
52C5×#399C2211yescharacteristic
53C5×#397C2211yescharacteristic
54C5×#397C2211yescharacteristic
55C5×#388C2211yescharacteristic
56C5×#388C2211yescharacteristic
57C5×#388C2211yescharacteristic
58C5×#388C2211yescharacteristic
59C5×#385C2211yescharacteristic
60C5×#385C2211yescharacteristic
61C5×#381C2211yescharacteristic
62C5×#379C2211yescharacteristic
63C5×#379C2211yescharacteristic
64#65536C2211yescharacteristic
65#65502C2211yescharacteristic
66#65499C2211yescharacteristic
67C2×#3963C2211yescharacteristic
68C2×#3963C2211yescharacteristic
69#65283C2211yescharacteristic, complemented
70#65283C2211yescharacteristic, complemented
71#65282C2211yescharacteristic, complemented
72#65282C2211yescharacteristic, complemented
73#65281C2211yescharacteristic, complemented
74#65275C2211yescharacteristic, complemented
75#65275C2211yescharacteristic, complemented
76#65274C2211yescharacteristic, complemented
77#65274C2211yescharacteristic, complemented
78#65274C2211yescharacteristic, complemented
79#65274C2211yescharacteristic, complemented
80#65274C2211yescharacteristic, complemented
81#65274C2211yescharacteristic, complemented
82#65273C2211yescharacteristic, complemented
83#65273C2211yescharacteristic, complemented
84#65272C2211yescharacteristic, complemented
85#65272C2211yescharacteristic, complemented
86#65271C2211yescharacteristic, complemented
87#65271C2211yescharacteristic, complemented
88#65271C2211yescharacteristic, complemented
89#65269C2211yescharacteristic, complemented
90#65269C2211yescharacteristic, complemented
91#65250C2211yescharacteristic
92#65250C2211yescharacteristic
93#65250C2211yescharacteristic
94#65248C2211yescharacteristic
95#65247C2211yescharacteristic
96#65247C2211yescharacteristic
97#65247C2211yescharacteristic
98#65247C2211yescharacteristic
99#65247C2211yescharacteristic
100#65246C2211yescharacteristic
101#65246C2211yescharacteristic
102#65245C2211yescharacteristic
103#65242C2211yescharacteristic
104#65241C2211yescharacteristic
105#65241C2211yescharacteristic
106#65241C2211yescharacteristic
107#65240C2211yescharacteristic
108#65240C2211yescharacteristic
109#65239C2211yescharacteristic
110#65239C2211yescharacteristic
111#65239C2211yescharacteristic
112#65239C2211yescharacteristic
113#65239C2211yescharacteristic
114#65239C2211yescharacteristic
115#65239C2211yescharacteristic
116#65239C2211yescharacteristic
117#65239C2211yescharacteristic
118#65239C2211yescharacteristic
119#65239C2211yescharacteristic
120#65239C2211yescharacteristic
121#65239C2211yescharacteristic
122#65239C2211yescharacteristic
123#65239C2211yescharacteristic
124#65239C2211yescharacteristic
125#65239C2211yescharacteristic
126#65238C2211yescharacteristic
127#65237C2211yescharacteristic
128#65237C2211yescharacteristic
129#65237C2211yescharacteristic
130#65235C2211yescharacteristic
131#65235C2211yescharacteristic
132#65235C2211yescharacteristic
133#65235C2211yescharacteristic
134#65234C2211yescharacteristic
135#65234C2211yescharacteristic
136#65234C2211yescharacteristic
137#65234C2211yescharacteristic
138#65233C2211yescharacteristic
139#65232C2211yescharacteristic
140#65232C2211yescharacteristic
141#65231C2211yescharacteristic
142#65231C2211yescharacteristic
143#65231C2211yescharacteristic
144#65231C2211yescharacteristic
145#65231C2211yescharacteristic
146C22⋊C4×Dic5C2211yescharacteristic
147#65229C2211yescharacteristic, complemented
148#65229C2211yescharacteristic, complemented
149#65225C2211yescharacteristic, complemented
150#65225C2211yescharacteristic, complemented
151#65224C2211yescharacteristic, complemented
152#65224C2211yescharacteristic, complemented
153#65222C2211yescharacteristic, complemented
154#65222C2211yescharacteristic, complemented
155#64966C2211yescharacteristic, complemented
156#64964C2211yescharacteristic, complemented
157#64963C2211yescharacteristic, complemented
158#64959C2211yescharacteristic, complemented
159#64959C2211yescharacteristic, complemented
160#64957C2211yescharacteristic, complemented
161#64957C2211yescharacteristic, complemented
162#64957C2211yescharacteristic, complemented
163C5⋊#401C2211yescharacteristic, complemented
164#64950C2211yescharacteristic, complemented
165#64950C2211yescharacteristic, complemented
166#64950C2211yescharacteristic, complemented
167#64949C2211yescharacteristic, complemented
168#64949C2211yescharacteristic, complemented
169#64948C2211yescharacteristic, complemented
170#64947C2211yescharacteristic, complemented
171#64947C2211yescharacteristic, complemented
172#64946C2211yescharacteristic, complemented
173#64946C2211yescharacteristic, complemented
174#64945C2211yescharacteristic, complemented
175#64945C2211yescharacteristic, complemented
176#64944C2211yescharacteristic, complemented
177#64944C2211yescharacteristic, complemented
178#64944C2211yescharacteristic, complemented
179#64944C2211yescharacteristic, complemented
180#64943C2211yescharacteristic, complemented
181#64943C2211yescharacteristic, complemented
182#64942C2211yescharacteristic, complemented
183#64936C2211yescharacteristic, complemented
184#64936C2211yescharacteristic, complemented
185#64936C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36792—51nomaximal, Sylow
188C25×C5C2311yescharacteristic
189C23×C4×C5C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C22×C22⋊D5C2311yescharacteristic
192C22×C22⋊D5C2311yescharacteristic
193C22×C22⋊D5C2311yescharacteristic
194C23×Dic5—42no—
195C23×Dic5—42no—
196C23×Dic5—42no—
197C23×Dic5C2311yescharacteristic
198C23×Dic5C2311yescharacteristic
199C23×Dic5C2311yescharacteristic
200C23×Dic5C2311yescharacteristic
201C23×Dic5C2311yescharacteristic
202C23×Dic5C2311yescharacteristic
203C23×Dic5C2311yescharacteristic
204C23×Dic5C2311yescharacteristic
205C22×C4×D5C2311yescharacteristic
206C22×Dic10C2311yescharacteristic
207C5×#117—24no—
208C2×C5×C4⋊C4C2311yescharacteristic
209C2×C5×C4⋊C4C2311yescharacteristic
210C2×C5×C4⋊C4C2311yescharacteristic
211C2×C5×C4⋊C4C2311yescharacteristic
212C2×C5×C4⋊C4C2311yescharacteristic
213C2×C5×C4⋊C4C2311yescharacteristic
214C2×C5×C22⋊C4—24no—
215C2×C5×C22⋊C4C2311yescharacteristic
216C2×C5×C22⋊C4C2311yescharacteristic
217C2×C5×C22⋊C4C2311yescharacteristic
218C2×C5×C22⋊C4C2311yescharacteristic
219C2×C5×C22⋊C4C2311yescharacteristic
220C2×C5×C22⋊C4C2311yescharacteristic
221C2×C5×C22⋊C4C2311yescharacteristic
222C2×C5×C22⋊C4C2311yescharacteristic
223C2×C5×C22⋊C4C2311yescharacteristic
224C2×C5×C22⋊C4C2311yescharacteristic
225C2×C5×C22⋊C4C2311yescharacteristic
226C2×C5×C22⋊C4C2311yescharacteristic
227C2×C5×C22⋊C4C2311yescharacteristic
228C2×C5×C22⋊C4C2311yescharacteristic
229C2×C5×C22⋊C4C2311yescharacteristic
230C2×C5×C22⋊C4C2311yescharacteristic
231C2×C42×C5C2311yescharacteristic
232C2×C42×C5C2311yescharacteristic
233#4099—42no—
234C2×C22⋊Dic5—42no—
235C2×C22⋊Dic5C2311yescharacteristic
236C2×C22⋊Dic5C2311yescharacteristic
237C2×C22⋊Dic5C2311yescharacteristic
238C2×C22⋊Dic5C2311yescharacteristic
239C2×C22⋊Dic5C2311yescharacteristic
240C2×C22⋊Dic5C2311yescharacteristic
241C2×C22⋊Dic5C2311yescharacteristic
242C2×C22⋊Dic5C2311yescharacteristic
243C2×C22⋊Dic5C2311yescharacteristic
244C2×C22⋊Dic5C2311yescharacteristic
245C2×C22⋊Dic5C2311yescharacteristic
246C2×C22⋊Dic5C2311yescharacteristic
247C2×C22⋊Dic5C2311yescharacteristic
248#4075—24no—
249C2×#685C2311yescharacteristic
250C2×#685C2311yescharacteristic
251C2×#685C2311yescharacteristic
252C2×#685C2311yescharacteristic
253C2×#685C2311yescharacteristic
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
258C2×#685C2311yescharacteristic
259C2×#685C2311yescharacteristic
260#4072—42no—
261C2×C4⋊Dic5—42no—
262C2×C4⋊Dic5—42no—
263C2×C4⋊Dic5C2311yescharacteristic
264C2×C4⋊Dic5C2311yescharacteristic
265C2×C4⋊Dic5C2311yescharacteristic
266C2×C4⋊Dic5C2311yescharacteristic
267C2×C4⋊Dic5C2311yescharacteristic
268C2×C4⋊Dic5C2311yescharacteristic
269C2×C4⋊Dic5C2311yescharacteristic
270C2×C4⋊Dic5C2311yescharacteristic
271C2×C4⋊Dic5C2311yescharacteristic
272C2×C4⋊Dic5C2311yescharacteristic
273C2×C4⋊Dic5C2311yescharacteristic
274C2×C4⋊Dic5C2311yescharacteristic
275C2×C4⋊Dic5C2311yescharacteristic
276C2×C4⋊Dic5C2311yescharacteristic
277C2×C4⋊Dic5C2311yescharacteristic
278C2×C4⋊Dic5C2311yescharacteristic
279C2×C4⋊Dic5C2311yescharacteristic
280C2×C4⋊Dic5C2311yescharacteristic
281C2×C4⋊Dic5C2311yescharacteristic
282C2×C4⋊Dic5C2311yescharacteristic
283C2×C4⋊Dic5C2311yescharacteristic
284C2×#683C2311yescharacteristic
285C2×#683C2311yescharacteristic
286C2×#683C2311yescharacteristic
287C2×#683C2311yescharacteristic
288C2×#683C2311yescharacteristic
289C2×#683C2311yescharacteristic
290C2×#683C2311yescharacteristic
291C2×#683C2311yescharacteristic
292C2×#683C2311yescharacteristic
293C2×#683C2311yescharacteristic
294C2×#683C2311yescharacteristic
295C2×#683C2311yescharacteristic
296C2×#683C2311yescharacteristic
297C2×#683C2311yescharacteristic
298C2×#683C2311yescharacteristic
299C2×#683C2311yescharacteristic
300C2×#683C2311yescharacteristic
301C2×C4×Dic5C2311yescharacteristic
302C2×C4×Dic5C2311yescharacteristic
303C2×C4×Dic5C2311yescharacteristic
304C2×C4×Dic5C2311yescharacteristic
305C2×C4×Dic5C2311yescharacteristic
306#4043—42no—
307#4036—42no—
308#4032—42no—
309#4032—42no—
310#4029—42no—
311#4027—42no—
312#4025—42no—
313#4024—42no—
314#4024—42no—
315#4024—42no—
316C5×#95C2311yescharacteristic
317C5×#95C2311yescharacteristic
318C5×#95C2311yescharacteristic
319C5×#95C2311yescharacteristic
320C5×#95C2311yescharacteristic
321C5×#95C2311yescharacteristic
322C5×#95C2311yescharacteristic
323C5×#95C2311yescharacteristic
324#3963C2311yescharacteristic
325#3963C2311yescharacteristic
326#3963C2311yescharacteristic
327#3963C2311yescharacteristic
328#3963C2311yescharacteristic
329#3963C2311yescharacteristic
330#3963C2311yescharacteristic
331#3963C2311yescharacteristic
332#3963C2311yescharacteristic
333#3963C2311yescharacteristic
334#3963C2311yescharacteristic
335#3963C2311yescharacteristic
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#2849—51no—
365#2848—51no—
366#2807—51no—
367#2796—51no—
368#2790—51no—
369#2787—51no—
370#2782—51no—
371#2781—51no—
372#2771—51no—
373#2765—51no—
374#2744—51no—
375#2732—51no—
376#2724—51no—
377#2720—51no—
378#2718—51no—
379#2694—51no—
380#2689—51no—
381#2680—51no—
382#2646—51no—
383#2643—51no—
384#2498—51no—
385#2482D511yescharacteristic, complemented
386#2480—51no—
387#2473—51no—
388#2449—51no—
389#2438—51no—
390#2418—51no—
391#2411—51no—
392#2322—51no—
393#2317—51no—
394C2×#385—51no—
395C24×C5—22no—
396C24×C5—22no—
397C24×C5—22no—
398C24×C5—22no—
399C24×C5—22no—
400C24×C5—41no—
401C24×C5—41no—
402C24×C5C2411yescharacteristic
403C24×C5C2411yescharacteristic
404C24×C5C2411yescharacteristic
405C23×D5C2411yescharacteristic
406C22×C4×C5—22no—
407C22×C4×C5—22no—
408C22×C4×C5—22no—
409C22×C4×C5—41no—
410C22×C4×C5—41no—
411C22×C4×C5#4114yes—
412C22×C4×C5C2411yescharacteristic
413C22×C4×C5C2411yescharacteristic
414C22×C4×C5C2411yescharacteristic
415C22×C4×C5C2411yescharacteristic
416C22×C4×C5C2411yescharacteristic
417C22×C4×C5C2411yescharacteristic
418C22×C4×C5C2411yescharacteristic
419C22×C4×C5C2411yescharacteristic
420C22×C4×C5C2411yescharacteristic
421C22×C4×C5C2411yescharacteristic
422C22×C4×C5C2411yescharacteristic
423C22×C4×C5C2411yescharacteristic
424C2×C22⋊D5—22no—
425C2×C22⋊D5—22no—
426C2×C22⋊D5—22no—
427C2×C22⋊D5—22no—
428C2×C22⋊D5—22no—
429C2×C22⋊D5—41no—
430C2×C22⋊D5—41no—
431C2×C22⋊D5—41no—
432C2×C22⋊D5—41no—
433C22×Dic5—22no—
434C22×Dic5—22no—
435C22×Dic5—22no—
436C22×Dic5—22no—
437C22×Dic5—22no—
438C22×Dic5—22no—
439C22×Dic5—22no—
440C22×Dic5—22no—
441C22×Dic5—22no—
442C22×Dic5—41no—
443C22×Dic5—41no—
444C22×Dic5—41no—
445C22×Dic5—41no—
446C22×Dic5—41no—
447C22×Dic5—41no—
448C22×Dic5—41no—
449C22×Dic5—41no—
450C22×Dic5—41no—
451C22×Dic5—41no—
452C22×Dic5—41no—
453C22×Dic5—41no—
454C22×Dic5—41no—
455C22×Dic5—41no—
456C22×Dic5—41no—
457C22×Dic5—416no—
458C22×Dic5C2411yescharacteristic
459C22×Dic5C2411yescharacteristic
460C22×Dic5C2411yescharacteristic
461C22×Dic5C2411yescharacteristic
462C22×Dic5C2411yescharacteristic
463C22×Dic5C2411yescharacteristic
464C22×Dic5C2411yescharacteristic
465C22×Dic5C2411yescharacteristic
466C22×Dic5C2411yescharacteristic
467C22×Dic5C2411yescharacteristic
468C22×Dic5C2411yescharacteristic
469C22×Dic5C2411yescharacteristic
470C22×Dic5C2411yescharacteristic
471C22×Dic5C2411yescharacteristic
472C22×Dic5C2411yescharacteristic
473C2×C4×D5—41no—
474C2×C4×D5—41no—
475C2×C4×D5—41no—
476C2×Dic10—22no—
477C2×Dic10—41no—
478C2×Dic10—41no—
479C5×C4⋊C4—22no—
480C5×C4⋊C4—22no—
481C5×C4⋊C4—41no—
482C5×C4⋊C4—41no—
483C5×C4⋊C4—41no—
484C5×C4⋊C4—41no—
485C5×C22⋊C4—22no—
486C5×C22⋊C4—22no—
487C5×C22⋊C4—22no—
488C5×C22⋊C4—22no—
489C5×C22⋊C4—22no—
490C5×C22⋊C4—22no—
491C5×C22⋊C4—22no—
492C5×C22⋊C4—22no—
493C5×C22⋊C4—22no—
494C5×C22⋊C4—22no—
495C5×C22⋊C4—22no—
496C5×C22⋊C4—22no—
497C5×C22⋊C4—41no—
498C5×C22⋊C4—41no—
499C5×C22⋊C4—41no—
500C5×C22⋊C4—41no—
501C42×C5—22no—
502C42×C5—22no—
503C22⋊Dic5—22no—
504C22⋊Dic5—22no—
505C22⋊Dic5—22no—
506C22⋊Dic5—22no—
507C22⋊Dic5—22no—
508C22⋊Dic5—22no—
509C22⋊Dic5—22no—
510C22⋊Dic5—41no—
511C22⋊Dic5—41no—
512C22⋊Dic5—41no—
513C22⋊Dic5—41no—
514C22⋊Dic5—41no—
515C22⋊Dic5—41no—
516#685—22no—
517#685—22no—
518#685—22no—
519#685—41no—
520#685—41no—
521#685—41no—
522#685—41no—
523#685—41no—
524#685—41no—
525#685—41no—
526#685—41no—
527C4⋊Dic5—22no—
528C4⋊Dic5—22no—
529C4⋊Dic5—22no—
530C4⋊Dic5—41no—
531C4⋊Dic5—41no—
532C4⋊Dic5—41no—
533C4⋊Dic5—41no—
534C4⋊Dic5—41no—
535C4⋊Dic5—41no—
536C4⋊Dic5—41no—
537C4⋊Dic5—41no—
538C4⋊Dic5—41no—
539C4⋊Dic5—41no—
540C4⋊Dic5—41no—
541C4⋊Dic5—41no—
542C4⋊Dic5—41no—
543C4⋊Dic5—41no—
544C4⋊Dic5—41no—
545C4⋊Dic5—41no—
546C4⋊Dic5—41no—
547C4⋊Dic5—41no—
548#683—22no—
549#683—22no—
550#683—22no—
551#683—41no—
552#683—41no—
553#683—41no—
554#683—41no—
555#683—41no—
556#683—41no—
557#683—41no—
558#683—41no—
559#683—41no—
560#683—41no—
561#683—41no—
562#683—41no—
563#683—41no—
564#683—41no—
565C4×Dic5—41no—
566C4×Dic5—41no—
567C4×Dic5—41no—
568C4×Dic5—41no—
569C4×Dic5—41no—
570C24×C4—51no—
571C2×#126—51no—
572C2×#125—51no—
573C2×#123—51no—
574C2×#123—51no—
575C2×#123—51no—
576C2×#123—51no—
577C2×C22⋊Q8—51no—
578C2×C22⋊Q8—51no—
579C2×C22⋊Q8—51no—
580C2×C22⋊Q8—51no—
581C2×#120—51no—
582C2×C4×D4—51no—
583C2×#117—51no—
584C2×#117C2×D511yescharacteristic
585C22×C4⋊C4—51no—
586C22×C4⋊C4—51no—
587C22×C22⋊C4—51no—
588C22×C22⋊C4C2×D511yescharacteristic
589#401—51no—
590#400—51no—
591#400—51no—
592#400—51no—
593#400—51no—
594#400—51no—
595#400—51no—
596#400—51no—
597#400—51no—
598#400—51no—
599#400—51no—
600#399—51no—
601#399—51no—
602#399—51no—
603#399C2×D511yescharacteristic
604#399C2×D511yescharacteristic
605#398—51no—
606#398—51no—
607#398—51no—
608#398—51no—
609#398—51no—
610#398—51no—
611#398—51no—
612#398—51no—
613#398—51no—
614#398—51no—
615#398—51no—
616#397—51no—
617#397—51no—
618#397—51no—
619#397—51no—
620#397—51no—
621#397—51no—
622#397—51no—
623#397—51no—
624#397C2×D511yescharacteristic
625#397C2×D511yescharacteristic
626#396—51no—
627#396—51no—
628#396—51no—
629#396—51no—
630#396—51no—
631#395—51no—
632#395—51no—
633#394—51no—
634#394—51no—
635#394—51no—
636#394—51no—
637#391—51no—
638#390—51no—
639#390—51no—
640#389—51no—
641#389—51no—
642#389—51no—
643#389—51no—
644#389—51no—
645#389—51no—
646#389—51no—
647#389—51no—
648#389—51no—
649#388—51no—
650#388—51no—
651#388—51no—
652#388—51no—
653#388—51no—
654#388—51no—
655#388—51no—
656#388—51no—
657#388—51no—
658#388—51no—
659#388—51no—
660#388C2×D511yescharacteristic
661#388C2×D511yescharacteristic
662#388C2×D511yescharacteristic
663#388C2×D511yescharacteristic
664#387—51no—
665#387—51no—
666#387—51no—
667#387—51no—
668#387—51no—
669#387—51no—
670#387—51no—
671#387—51no—
672#387—51no—
673#386—51no—
674#386—51no—
675#386—51no—
676#386—51no—
677#386—51no—
678#386—51no—
679#386—51no—
680#385—51no—
681#385—51no—
682#385—51no—
683#385—51no—
684#385—51no—
685#385—51no—
686#385—51no—
687#385—51no—
688#385—51no—
689#385—51no—
690#385—51no—
691#385—51no—
692#385—51no—
693#385—51no—
694#385—51no—
695#385—51no—
696#385—51no—
697#385—51no—
698#385—51no—
699#385—51no—
700#385—51no—
701#385—51no—
702#385—51no—
703#385—51no—
704#385—51no—
705#385C2×D511yescharacteristic
706#385C2×D511yescharacteristic
707#384—51no—
708#384—51no—
709#382—51no—
710#382—51no—
711#381—51no—
712#381—51no—
713#381C2×D511yescharacteristic
714#380—51no—
715#380—51no—
716#380—51no—
717#380—51no—
718#380—51no—
719#379—51no—
720#379C2×D511yescharacteristic
721#379C2×D511yescharacteristic
722C4×C22⋊C4—51no—
723C2×#95—51no—
724C2×#95—51no—
725C23×C5—21no—
726C23×C5—21no—
727C23×C5—21no—
728C23×C5—21no—
729C23×C5—28no—
730C23×C5—21no—
731C23×C5—21no—
732C23×C5—21no—
733C23×C5—21no—
734C23×C5—21no—
735C23×C5—21no—
736C23×C5—21no—
737C23×C5—21no—
738C23×C5—21no—
739C23×C5—21no—
740C23×C5—21no—
741C23×C5—21no—
742C23×C5—44no—
743C23×C5—44no—
744C23×C5—44no—
745C23×C5—44no—
746C23×C5—44no—
747C23×C5—44no—
748C23×C5C2×#4112yes—
749C23×C5H(5,𝔽2)12yes—
750C23×C5H(5,𝔽2)12yes—
751C23×C52−1+412yes—
752C23×C52−1+412yes—
753C23×C5C2511yescharacteristic
754C22×D5—21no—
755C22×D5—21no—
756C22×D5—21no—
757C22×D5—21no—
758C22×D5—21no—
759C22×D5—21no—
760C22×D5—21no—
761C2×C4×C5—28no—
762C2×C4×C5—21no—
763C2×C4×C5—21no—
764C2×C4×C5—21no—
765C2×C4×C5—21no—
766C2×C4×C5—21no—
767C2×C4×C5—21no—
768C2×C4×C5—21no—
769C2×C4×C5—21no—
770C2×C4×C5—21no—
771C2×C4×C5—21no—
772C2×C4×C5—21no—
773C2×C4×C5—21no—
774C2×C4×C5—21no—
775C2×C4×C5—21no—
776C2×C4×C5—21no—
777C2×C4×C5—21no—
778C2×C4×C5—21no—
779C2×C4×C5—21no—
780C2×C4×C5—21no—
781C2×C4×C5—21no—
782C2×C4×C5—21no—
783C2×C4×C5—21no—
784C2×C4×C5—21no—
785C2×C4×C5—21no—
786C2×C4×C5—21no—
787C2×C4×C5—21no—
788C2×C4×C5—21no—
789C2×C4×C5—21no—
790C2×C4×C5—21no—
791C2×C4×C5—21no—
792C2×C4×C5—21no—
793C2×C4×C5—21no—
794C2×C4×C5—21no—
795C2×C4×C5—21no—
796C2×C4×C5—44no—
797C2×C4×C5C2×#4112yes—
798C2×C4×C5C2×#4112yes—
799C22⋊D5—44no—
800C22⋊D5—82no—
801C22⋊D5—82no—
802C2×Dic5—21no—
803C2×Dic5—21no—
804C2×Dic5—21no—
805C2×Dic5—21no—
806C2×Dic5—21no—
807C2×Dic5—21no—
808C2×Dic5—21no—
809C2×Dic5—21no—
810C2×Dic5—21no—
811C2×Dic5—21no—
812C2×Dic5—21no—
813C2×Dic5—21no—
814C2×Dic5—21no—
815C2×Dic5—21no—
816C2×Dic5—21no—
817C2×Dic5—21no—
818C2×Dic5—21no—
819C2×Dic5—21no—
820C2×Dic5—21no—
821C2×Dic5—21no—
822C2×Dic5—21no—
823C2×Dic5—21no—
824C2×Dic5—21no—
825C2×Dic5—21no—
826C2×Dic5—21no—
827C2×Dic5—21no—
828C2×Dic5—21no—
829C2×Dic5—21no—
830C2×Dic5—21no—
831C2×Dic5—21no—
832C2×Dic5—21no—
833C2×Dic5—21no—
834C2×Dic5—21no—
835C2×Dic5—21no—
836C2×Dic5—21no—
837C2×Dic5—21no—
838C2×Dic5—21no—
839C2×Dic5—21no—
840C2×Dic5—21no—
841C2×Dic5—21no—
842C2×Dic5—21no—
843C2×Dic5—21no—
844C2×Dic5—21no—
845C2×Dic5—21no—
846C2×Dic5—44no—
847C2×Dic5—44no—
848C2×Dic5—44no—
849C2×Dic5—44no—
850C2×Dic5—44no—
851C2×Dic5—44no—
852C2×Dic5—82no—
853C2×Dic5—82no—
854C2×Dic5H(5,𝔽2)12yes—
855C4×D5—82no—
856Dic10—82no—
857C25C22×D511yescharacteristic
858C22×Q8—51no—
859C22×D4—51no—
860C22×D4—51no—
861C22×D4—51no—
862C23×C4—51no—
863C23×C4—51no—
864C23×C4—51no—
865C23×C4—51no—
866C23×C4—51no—
867C23×C4—51no—
868C23×C4—51no—
869C23×C4—51no—
870C23×C4—51no—
871C23×C4—202no—
872C23×C4—202no—
873C23×C4—202no—
874C23×C4C22×D511yescharacteristic
875C23×C4C22×D511yescharacteristic
876#126—202no—
877#125—202no—
878#123—104no—
879#123—202no—
880#123—202no—
881#123—202no—
882C22⋊Q8—202no—
883C22⋊Q8—202no—
884C22⋊Q8—202no—
885C22⋊Q8—202no—
886#120—202no—
887C4×D4—202no—
888#117—24no—
889#117—202no—
890C2×C4⋊C4—51no—
891C2×C4⋊C4—51no—
892C2×C4⋊C4—51no—
893C2×C4⋊C4—51no—
894C2×C4⋊C4—51no—
895C2×C4⋊C4—51no—
896C2×C4⋊C4—51no—
897C2×C4⋊C4—51no—
898C2×C4⋊C4—51no—
899C2×C4⋊C4—51no—
900C2×C4⋊C4—51no—
901C2×C4⋊C4—51no—
902C2×C4⋊C4—51no—
903C2×C4⋊C4—51no—
904C2×C4⋊C4—51no—
905C2×C4⋊C4—51no—
906C2×C4⋊C4—51no—
907C2×C4⋊C4—51no—
908C2×C4⋊C4—51no—
909C2×C4⋊C4—51no—
910C2×C4⋊C4—51no—
911C2×C4⋊C4—51no—
912C2×C4⋊C4—51no—
913C2×C4⋊C4—51no—
914C2×C4⋊C4—51no—
915C2×C4⋊C4—51no—
916C2×C4⋊C4—51no—
917C2×C4⋊C4—51no—
918C2×C4⋊C4—51no—
919C2×C4⋊C4—51no—
920C2×C4⋊C4—51no—
921C2×C4⋊C4—51no—
922C2×C4⋊C4—51no—
923C2×C4⋊C4—51no—
924C2×C4⋊C4—51no—
925C2×C4⋊C4—51no—
926C2×C4⋊C4—51no—
927C2×C4⋊C4—51no—
928C2×C4⋊C4—202no—
929C2×C4⋊C4—202no—
930C2×C4⋊C4C22×D511yescharacteristic
931C2×C4⋊C4C22×D511yescharacteristic
932C2×C4⋊C4C22×D511yescharacteristic
933C2×C4⋊C4C22×D511yescharacteristic
934C2×C4⋊C4C22×D511yescharacteristic
935C2×C4⋊C4C22×D511yescharacteristic
936C2×C22⋊C4—24no—
937C2×C22⋊C4—51no—
938C2×C22⋊C4—51no—
939C2×C22⋊C4—51no—
940C2×C22⋊C4—51no—
941C2×C22⋊C4—51no—
942C2×C22⋊C4—51no—
943C2×C22⋊C4—51no—
944C2×C22⋊C4—51no—
945C2×C22⋊C4—51no—
946C2×C22⋊C4—51no—
947C2×C22⋊C4—51no—
948C2×C22⋊C4—51no—
949C2×C22⋊C4—51no—
950C2×C22⋊C4—51no—
951C2×C22⋊C4—51no—
952C2×C22⋊C4—51no—
953C2×C22⋊C4—51no—
954C2×C22⋊C4—51no—
955C2×C22⋊C4—51no—
956C2×C22⋊C4—51no—
957C2×C22⋊C4—51no—
958C2×C22⋊C4—51no—
959C2×C22⋊C4—51no—
960C2×C22⋊C4—51no—
961C2×C22⋊C4—202no—
962C2×C22⋊C4C22×D511yescharacteristic
963C2×C22⋊C4C22×D511yescharacteristic
964C2×C22⋊C4C22×D511yescharacteristic
965C2×C22⋊C4C22×D511yescharacteristic
966C2×C22⋊C4C22×D511yescharacteristic
967C2×C22⋊C4C22×D511yescharacteristic
968C2×C22⋊C4C22×D511yescharacteristic
969C2×C22⋊C4C22×D511yescharacteristic
970C2×C22⋊C4C22×D511yescharacteristic
971C2×C22⋊C4C22×D511yescharacteristic
972C2×C22⋊C4C22×D511yescharacteristic
973C2×C22⋊C4C22×D511yescharacteristic
974C2×C22⋊C4C22×D511yescharacteristic
975C2×C22⋊C4C22×D511yescharacteristic
976C2×C22⋊C4C22×D511yescharacteristic
977C2×C22⋊C4C22×D511yescharacteristic
978C2×C42—51no—
979C2×C42—51no—
980C2×C42—51no—
981C2×C42—51no—
982C2×C42—51no—
983C2×C42C22×D511yescharacteristic
984C2×C42C22×D511yescharacteristic
985#95—51no—
986#95—51no—
987#95—51no—
988#95—51no—
989#95—51no—
990#95—51no—
991#95—51no—
992#95—51no—
993#95—51no—
994#95—51no—
995#95—51no—
996#95—51no—
997#95—51no—
998#95—51no—
999#95—51no—
1000#95—51no—
1001#95—51no—
1002#95—51no—
1003#95—51no—
1004#95—51no—
1005#95—51no—
1006#95—51no—
1007#95—51no—
1008#95—51no—
1009#95—51no—
1010#95—51no—
1011#95—51no—
1012#95—51no—
1013#95—51no—
1014#95—51no—
1015#95—51no—
1016#95—51no—
1017#95—51no—
1018#95—51no—
1019#95—51no—
1020#95—51no—
1021#95—51no—
1022#95—51no—
1023#95—51no—
1024#95—51no—
1025#95C22×D511yescharacteristic
1026#95C22×D511yescharacteristic
1027#95C22×D511yescharacteristic
1028#95C22×D511yescharacteristic
1029#95C22×D511yescharacteristic
1030#95C22×D511yescharacteristic
1031#95C22×D511yescharacteristic
1032#95C22×D511yescharacteristic
1033C22×C5—22no—
1034C22×C5—22no—
1035C22×C5—22no—
1036C22×C5—22no—
1037C22×C5—22no—
1038C22×C5—22no—
1039C22×C5—22no—
1040C22×C5—22no—
1041C22×C5—22no—
1042C22×C5—22no—
1043C22×C5—22no—
1044C22×C5—22no—
1045C22×C5—416no—
1046C22×C5—41no—
1047C22×C5—41no—
1048C22×C5—41no—
1049C22×C5—41no—
1050C22×C5—41no—
1051C22×C5—41no—
1052C22×C5—41no—
1053C22×C5—41no—
1054C22×C5#53914yes—
1055C22×C5C22×#4111yescharacteristic
1056C22×C5C2×H(5,𝔽2)11yescharacteristic
1057C22×C5C2×H(5,𝔽2)11yescharacteristic
1058C22×C5C2×H(5,𝔽2)11yescharacteristic
1059C22×C5C2×2−1+411yescharacteristic
1060C22×C5C2×2−1+411yescharacteristic
1061C22×C5#58511yescharacteristic
1062C2×D5—41no—
1063C2×D5—41no—
1064C2×D5—41no—
1065C2×D5—41no—
1066C2×D5—41no—
1067C2×D5—41no—
1068C2×D5—41no—
1069C4×C5—22no—
1070C4×C5—22no—
1071C4×C5—41no—
1072C4×C5—41no—
1073C4×C5—41no—
1074C4×C5—41no—
1075C4×C5—41no—
1076C4×C5—41no—
1077C4×C5—41no—
1078C4×C5—41no—
1079C4×C5—41no—
1080C4×C5—41no—
1081Dic5—22no—
1082Dic5—41no—
1083Dic5—41no—
1084Dic5—41no—
1085Dic5—41no—
1086Dic5—41no—
1087Dic5—41no—
1088Dic5—41no—
1089Dic5—41no—
1090Dic5—41no—
1091Dic5—41no—
1092Dic5—41no—
1093Dic5—41no—
1094Dic5—41no—
1095Dic5—41no—
1096C24—22no—
1097C24—22no—
1098C24—22no—
1099C24—22no—
1100C24—22no—
1101C24—41no—
1102C24—41no—
1103C24—51no—
1104C24C23×D511yescharacteristic
1105C24C23×D511yescharacteristic
1106C24C23×D511yescharacteristic
1107C2×Q8—102no—
1108C2×Q8—201no—
1109C2×Q8—201no—
1110C2×D4—102no—
1111C2×D4—102no—
1112C2×D4—102no—
1113C2×D4—102no—
1114C2×D4—102no—
1115C2×D4—201no—
1116C2×D4—201no—
1117C2×D4—201no—
1118C2×D4—201no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—51no—
1125C22×C4—51no—
1126C22×C4—51no—
1127C22×C4—51no—
1128C22×C4—51no—
1129C22×C4—51no—
1130C22×C4—51no—
1131C22×C4—51no—
1132C22×C4—51no—
1133C22×C4—51no—
1134C22×C4—51no—
1135C22×C4—51no—
1136C22×C4—51no—
1137C22×C4—51no—
1138C22×C4—51no—
1139C22×C4—102no—
1140C22×C4—102no—
1141C22×C4—102no—
1142C22×C4—102no—
1143C22×C4—102no—
1144C22×C4—102no—
1145C22×C4—102no—
1146C22×C4—102no—
1147C22×C4—102no—
1148C22×C4—201no—
1149C22×C4—201no—
1150C22×C4—201no—
1151C22×C4—201no—
1152C22×C4—201no—
1153C22×C4—201no—
1154C22×C4—201no—
1155C22×C4—201no—
1156C22×C4—201no—
1157C22×C4—201no—
1158C22×C4—201no—
1159C22×C4—201no—
1160C22×C4—201no—
1161C22×C4—201no—
1162C22×C4—201no—
1163C22×C4—201no—
1164C22×C4—201no—
1165C22×C4—201no—
1166C22×C4—2016no—
1167C22×C4#71114yes—
1168C22×C4C23×D511yescharacteristic
1169C22×C4C23×D511yescharacteristic
1170C22×C4C23×D511yescharacteristic
1171C22×C4C23×D511yescharacteristic
1172C22×C4C23×D511yescharacteristic
1173C22×C4C23×D511yescharacteristic
1174C22×C4C23×D511yescharacteristic
1175C22×C4C23×D511yescharacteristic
1176C22×C4C23×D511yescharacteristic
1177C22×C4C23×D511yescharacteristic
1178C22×C4C23×D511yescharacteristic
1179C22×C4C23×D511yescharacteristic
1180C4⋊C4—22no—
1181C4⋊C4—22no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—102no—
1187C4⋊C4—102no—
1188C4⋊C4—102no—
1189C4⋊C4—102no—
1190C4⋊C4—102no—
1191C4⋊C4—102no—
1192C4⋊C4—201no—
1193C4⋊C4—201no—
1194C4⋊C4—201no—
1195C4⋊C4—201no—
1196C4⋊C4—201no—
1197C4⋊C4—201no—
1198C4⋊C4—201no—
1199C4⋊C4—201no—
1200C4⋊C4—201no—
1201C4⋊C4—201no—
1202C4⋊C4—201no—
1203C4⋊C4—201no—
1204C4⋊C4—201no—
1205C4⋊C4—201no—
1206C4⋊C4—201no—
1207C4⋊C4—201no—
1208C4⋊C4—201no—
1209C4⋊C4—201no—
1210C4⋊C4—201no—
1211C4⋊C4—201no—
1212C4⋊C4—201no—
1213C4⋊C4—201no—
1214C4⋊C4—201no—
1215C4⋊C4—201no—
1216C4⋊C4—201no—
1217C4⋊C4—201no—
1218C4⋊C4—201no—
1219C4⋊C4—201no—
1220C4⋊C4—201no—
1221C4⋊C4—201no—
1222C4⋊C4—201no—
1223C4⋊C4—201no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—102no—
1241C22⋊C4—102no—
1242C22⋊C4—102no—
1243C22⋊C4—102no—
1244C22⋊C4—102no—
1245C22⋊C4—102no—
1246C22⋊C4—102no—
1247C22⋊C4—102no—
1248C22⋊C4—102no—
1249C22⋊C4—102no—
1250C22⋊C4—201no—
1251C22⋊C4—201no—
1252C22⋊C4—201no—
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—
1264C42—22no—
1265C42—22no—
1266C42—201no—
1267C42—201no—
1268C42—201no—
1269C42—201no—
1270C42—201no—
1271C2×C5—24no—
1272C2×C5—42no—
1273C2×C5—42no—
1274C2×C5C2×#53911yescharacteristic
1275C2×C5#349211yescharacteristic
1276C2×C5#350611yescharacteristic
1277C2×C5#353211yescharacteristic
1278C2×C5#353511yescharacteristic
1279C2×C5#353511yescharacteristic
1280C2×C5#353811yescharacteristic
1281D5—81no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—28no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—44no—
1300C23—44no—
1301C23—44no—
1302C23—44no—
1303C23—44no—
1304C23—44no—
1305C23—101no—
1306C23—101no—
1307C23—101no—
1308C23—101no—
1309C23—101no—
1310C23—101no—
1311C23—101no—
1312C23C2×#71112yes—
1313C23#414912yes—
1314C23#414912yes—
1315C23#415012yes—
1316C23#415012yes—
1317C23C24×D511yescharacteristic
1318Q8—402no—
1319D4—204no—
1320D4—402no—
1321D4—402no—
1322C2×C4—28no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—44no—
1358C2×C4—52no—
1359C2×C4—101no—
1360C2×C4—101no—
1361C2×C4—101no—
1362C2×C4—101no—
1363C2×C4—101no—
1364C2×C4—101no—
1365C2×C4—101no—
1366C2×C4—101no—
1367C2×C4—101no—
1368C2×C4—101no—
1369C2×C4—101no—
1370C2×C4—101no—
1371C2×C4—101no—
1372C2×C4—101no—
1373C2×C4—101no—
1374C2×C4—101no—
1375C2×C4—101no—
1376C2×C4—101no—
1377C2×C4—101no—
1378C2×C4—101no—
1379C2×C4—101no—
1380C2×C4—101no—
1381C2×C4—101no—
1382C2×C4—101no—
1383C2×C4—101no—
1384C2×C4—101no—
1385C2×C4—101no—
1386C2×C4—101no—
1387C2×C4—101no—
1388C2×C4—101no—
1389C2×C4—101no—
1390C2×C4—101no—
1391C2×C4—101no—
1392C2×C4—101no—
1393C2×C4—101no—
1394C2×C4—101no—
1395C2×C4—101no—
1396C2×C4—101no—
1397C2×C4—101no—
1398C2×C4—101no—
1399C2×C4—101no—
1400C2×C4—101no—
1401C2×C4—101no—
1402C2×C4—101no—
1403C2×C4—204no—
1404C2×C4—204no—
1405C2×C4—204no—
1406C2×C4—204no—
1407C2×C4—204no—
1408C2×C4—204no—
1409C2×C4—402no—
1410C2×C4—402no—
1411C2×C4—402no—
1412C2×C4C2×#71112yes—
1413C2×C4C2×#71112yes—
1414C5#3679211yescharacteristic, complemented, Sylow
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—416no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—201no—
1437C22—201no—
1438C22—201no—
1439C22—201no—
1440C22—201no—
1441C22—201no—
1442C22—201no—
1443C22#6599914yes—
1444C22C22×#71111yescharacteristic
1445C22C2×#414911yescharacteristic
1446C22C2×#414911yescharacteristic
1447C22C2×#415011yescharacteristic
1448C22C2×#415011yescharacteristic
1449C22D5×H(5,𝔽2)11yescharacteristic
1450C22#6628511yescharacteristic
1451C4—22no—
1452C4—22no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—102no—
1464C4—201no—
1465C4—201no—
1466C4—201no—
1467C4—201no—
1468C4—201no—
1469C4—201no—
1470C4—201no—
1471C4—201no—
1472C4—201no—
1473C4—201no—
1474C4—201no—
1475C4—201no—
1476C4—201no—
1477C4—201no—
1478C2—24no—
1479C2—42no—
1480C2—42no—
1481C2—401no—
1482C2C2×#6599911yescharacteristic
1483C2#1061792511yescharacteristic
1484C2#1061821911yescharacteristic
1485C2#1061870311yescharacteristic
1486C2#1061870311yescharacteristic
1487C2#1061870411yescharacteristic
1488C2#1061871911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2482C2
prime radicalC2×#4099C22
hypercenter#2482D5
hypocenterC5#36792
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2482

Complements

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

NH ≅ G/Ntype
1. C5×#2482C2semidirect
2. #10613986C2semidirect
3. #10613964C2semidirect
5. C2×#65239C2semidirect
6. #10609850C2semidirect
7. #10609819C2semidirect
8. #10609812C2semidirect
9. #10609795C2semidirect
10. #10609370C2semidirect
11. #10609367C2semidirect
12. #10609326C2semidirect
13. #10609301C2semidirect
14. #10607518C2semidirect
15. #10607508C2semidirect
16. #10607505C2semidirect
17. #10607482C2semidirect
18. #10607455C2semidirect
19. #10607429C2semidirect
20. #10607427C2semidirect
21. #10607399C2semidirect
22. #10606356C2semidirect
23. #10606235C2semidirect
24. #10606173C2semidirect
25. #10606153C2semidirect
26. #10605798C2semidirect
27. #10605787C2semidirect
29. #10605577C2semidirect
30. #10605562C2semidirect
41. C2×#4043C22semidirect
42. C2×#4036C22semidirect
69. #65283C22semidirect
70. #65283C22semidirect
71. #65282C22semidirect
72. #65282C22semidirect
73. #65281C22semidirect
74. #65275C22semidirect
75. #65275C22semidirect
76. #65274C22semidirect
77. #65274C22semidirect
78. #65274C22semidirect
79. #65274C22semidirect
80. #65274C22semidirect
81. #65274C22semidirect
82. #65273C22semidirect
83. #65273C22semidirect
84. #65272C22semidirect
85. #65272C22semidirect
86. #65271C22semidirect
87. #65271C22semidirect
88. #65271C22semidirect
89. #65269C22semidirect
90. #65269C22semidirect
147. #65229C22semidirect
148. #65229C22semidirect
149. #65225C22semidirect
150. #65225C22semidirect
151. #65224C22semidirect
152. #65224C22semidirect
153. #65222C22semidirect
154. #65222C22semidirect
155. #64966C22semidirect
156. #64964C22semidirect
157. #64963C22semidirect
158. #64959C22semidirect
159. #64959C22semidirect
160. #64957C22semidirect
161. #64957C22semidirect
162. #64957C22semidirect
163. C5⋊#401C22semidirect
164. #64950C22semidirect
165. #64950C22semidirect
166. #64950C22semidirect
167. #64949C22semidirect
168. #64949C22semidirect
169. #64948C22semidirect
170. #64947C22semidirect
171. #64947C22semidirect
172. #64946C22semidirect
173. #64946C22semidirect
174. #64945C22semidirect
175. #64945C22semidirect
176. #64944C22semidirect
177. #64944C22semidirect
178. #64944C22semidirect
179. #64944C22semidirect
180. #64943C22semidirect
181. #64943C22semidirect
182. #64942C22semidirect
183. #64936C22semidirect
184. #64936C22semidirect
185. #64936C22semidirect
186. #64935C22semidirect
385. #2482D5semidirect
1414. C5#36792semidirect

Maximal subgroups

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

subgroupindex
C5×#24822
#106139862
#106139642
#106138372
C2×#652392
#106098502
#106098192
#106098122
#106097952
#106093702
#106093672
#106093262
#106093012
#106075182
#106075082
#106075052
#106074822
#106074552
#106074292
#106074272
#106073992
#106063562
#106062352
#106061732
#106061532
#106057982
#106057872
#106055782
#106055772
#106055622
#106055572
#367925