Finite Group Databasebeta

← #12307710

Subgroups — #12307710

Order 1280.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2757C211yesmaximal, characteristic, complemented
2#10609707C211yesmaximal, characteristic, complemented
3#10609695C211yesmaximal, characteristic, complemented
4#10609433C211yesmaximal, characteristic, complemented
5#10609417C211yesmaximal, characteristic, complemented
6#10609409C211yesmaximal, characteristic, complemented
7#10609347C211yesmaximal, characteristic, complemented
8#10609300C211yesmaximal, characteristic, complemented
9#10609212C211yesmaximal, characteristic, complemented
10#10609172C211yesmaximal, characteristic, complemented
11#10609016C211yesmaximal, characteristic, complemented
12#10608850C211yesmaximal, characteristic
13#10608796C211yesmaximal, characteristic, complemented
14#10608113C211yesmaximal, characteristic, complemented
15#10608061C211yesmaximal, characteristic
16#10608006C211yesmaximal, characteristic, complemented
17#10607729C211yesmaximal, characteristic, complemented
18#10607646C211yesmaximal, characteristic, complemented
19#10607621C211yesmaximal, characteristic, complemented
20#10607437C211yesmaximal, characteristic, complemented
21#10607188C211yesmaximal, characteristic, complemented
22#10607136C211yesmaximal, characteristic, complemented
23#10607030C211yesmaximal, characteristic, complemented
24#10606667C211yesmaximal, characteristic
25#10606568C211yesmaximal, characteristic, complemented
26#10606386C211yesmaximal, characteristic, complemented
27D5×#385C211yesmaximal, characteristic, complemented
28#10606307C211yesmaximal, characteristic, complemented
29#10606285C211yesmaximal, characteristic, complemented
30#10606031C211yesmaximal, characteristic, complemented
31#10606015C211yesmaximal, characteristic, complemented
32C23×C4×D5C2211yescharacteristic
33C2×#4083C2211yescharacteristic
34C2×#4044C2211yescharacteristic
35C2×#4042C2211yescharacteristic
36C2×#4042C2211yescharacteristic
37C2×#4042C2211yescharacteristic
38C2×#4042C2211yescharacteristic
39C2×D5×C4⋊C4C2211yescharacteristic
40C2×D5×C4⋊C4C2211yescharacteristic
41C2×#4031C2211yescharacteristic
42C2×#4029C2211yescharacteristic
43C2×#4029C2211yescharacteristic
44C2×#4029C2211yescharacteristic
45C2×#4027C2211yescharacteristic
46C2×D5×C22⋊C4C2211yescharacteristic
47C2×D5×C22⋊C4C2211yescharacteristic
48C2×#4024C2211yescharacteristic
49C2×#4024C2211yescharacteristic, complemented
50C2×#4015C2211yescharacteristic, complemented
51C5×#398C2211yescharacteristic, complemented
52C5×#397C2211yescharacteristic
53C5×#397C2211yescharacteristic, complemented
54C5×#397C2211yescharacteristic, complemented
55C5×#396C2211yescharacteristic, complemented
56C5×#394C2211yescharacteristic
57C5×#390C2211yescharacteristic
58C5×#389C2211yescharacteristic, complemented
59C5×#388C2211yescharacteristic
60C5×#388C2211yescharacteristic, complemented
61C5×#387C2211yescharacteristic, complemented
62C5×#386C2211yescharacteristic
63C5×#385C2211yescharacteristic
64C5×#385C2211yescharacteristic
65C5×#383C2211yescharacteristic, complemented
66#65511C2211yescharacteristic
67#65509C2211yescharacteristic
68#65509C2211yescharacteristic
69#65499C2211yescharacteristic
70#65499C2211yescharacteristic
71#65499C2211yescharacteristic
72#65283C2211yescharacteristic
73#65282C2211yescharacteristic
74#65279C2211yescharacteristic
75#65278C2211yescharacteristic
76#65278C2211yescharacteristic
77#65278C2211yescharacteristic
78#65278C2211yescharacteristic
79#65276C2211yescharacteristic
80#65276C2211yescharacteristic
81#65274C2211yescharacteristic, complemented
82#65273C2211yescharacteristic, complemented
83#65273C2211yescharacteristic, complemented
84#65273C2211yescharacteristic, complemented
85#65272C2211yescharacteristic, complemented
86#65272C2211yescharacteristic, complemented
87#65269C2211yescharacteristic, complemented
88#65268C2211yescharacteristic, complemented
89#65268C2211yescharacteristic, complemented
90#65268C2211yescharacteristic, complemented
91#65267C2211yescharacteristic, complemented
92#65266C2211yescharacteristic, complemented
93#65266C2211yescharacteristic, complemented
94#65265C2211yescharacteristic, complemented
95#65262C2211yescharacteristic, complemented
96#65261C2211yescharacteristic, complemented
97#65250C2211yescharacteristic
98#65248C2211yescharacteristic
99#65247C2211yescharacteristic
100#65245C2211yescharacteristic
101#65245C2211yescharacteristic
102#65245C2211yescharacteristic
103#65245C2211yescharacteristic
104#65244C2211yescharacteristic
105#65244C2211yescharacteristic
106#65244C2211yescharacteristic
107#65242C2211yescharacteristic, complemented
108#65241C2211yescharacteristic
109#65240C2211yescharacteristic
110#65240C2211yescharacteristic
111#65240C2211yescharacteristic
112#65240C2211yescharacteristic, complemented
113#65239C2211yescharacteristic
114#65239C2211yescharacteristic
115#65238C2211yescharacteristic, complemented
116#65238C2211yescharacteristic, complemented
117#65237C2211yescharacteristic
118#65237C2211yescharacteristic
119#65237C2211yescharacteristic, complemented
120#65236C2211yescharacteristic
121#65236C2211yescharacteristic
122#65236C2211yescharacteristic, complemented
123#65235C2211yescharacteristic
124#65234C2211yescharacteristic
125#65234C2211yescharacteristic, complemented
126#65233C2211yescharacteristic
127#65233C2211yescharacteristic, complemented
128#65232C2211yescharacteristic, complemented
129#65231C2211yescharacteristic
130#65231C2211yescharacteristic, complemented
131#65231C2211yescharacteristic, complemented
132#65229C2211yescharacteristic
133#65229C2211yescharacteristic
134C4×#685C2211yescharacteristic
135C4×#685C2211yescharacteristic
136#65222C2211yescharacteristic, complemented
137#65222C2211yescharacteristic, complemented
138#65218C2211yescharacteristic, complemented
139#64964C2211yescharacteristic
140#64964C2211yescharacteristic
141#64963C2211yescharacteristic
142#64962C2211yescharacteristic
143#64959C2211yescharacteristic
144#64958C2211yescharacteristic
145#64957C2211yescharacteristic
146#64957C2211yescharacteristic
147#64957C2211yescharacteristic
148#64957C2211yescharacteristic
149#64957C2211yescharacteristic
150#64957C2211yescharacteristic
151#64957C2211yescharacteristic
152#64957C2211yescharacteristic
153#64956C2211yescharacteristic
154#64956C2211yescharacteristic
155#64955C2211yescharacteristic
156#64953C2211yescharacteristic
157#64953C2211yescharacteristic
158#64953C2211yescharacteristic
159#64953C2211yescharacteristic
160#64953C2211yescharacteristic
161D5×#95C2211yescharacteristic
162D5×#95C2211yescharacteristic
163C5⋊#401C2211yescharacteristic, complemented
164#64950C2211yescharacteristic, complemented
165#64949C2211yescharacteristic, complemented
166#64949C2211yescharacteristic, complemented
167#64949C2211yescharacteristic, complemented
168#64949C2211yescharacteristic, complemented
169#64949C2211yescharacteristic, complemented
170#64948C2211yescharacteristic, complemented
171#64948C2211yescharacteristic, complemented
172#64947C2211yescharacteristic, complemented
173#64947C2211yescharacteristic, complemented
174#64946C2211yescharacteristic, complemented
175#64946C2211yescharacteristic, complemented
176#64945C2211yescharacteristic, complemented
177#64944C2211yescharacteristic, complemented
178#64943C2211yescharacteristic, complemented
179#64941C2211yescharacteristic, complemented
180#64941C2211yescharacteristic, complemented
181#64941C2211yescharacteristic, complemented
182#64940C2211yescharacteristic, complemented
183#64936C2211yescharacteristic, complemented
184#64935C2211yescharacteristic, complemented
185#64935C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36778—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C22×C5×D4C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C22×C22⋊D5C2311yescharacteristic
192C22×C22⋊D5C2311yescharacteristic
193C23×Dic5C2311yescharacteristic
194C23×Dic5C2311yescharacteristic
195C22×C4×D5—42no—
196C22×C4×D5—42no—
197C22×C4×D5—42no—
198C22×C4×D5C2311yescharacteristic
199C22×C4×D5C2311yescharacteristic
200C22×C4×D5C2311yescharacteristic
201C22×C4×D5C2311yescharacteristic
202C22×C4×D5C2311yescharacteristic
203C22×C4×D5C2311yescharacteristic
204C22×C4×D5C2311yescharacteristic
205C22×C4×D5C2311yescharacteristic
206C22×Dic10C2311yescharacteristic
207C22×Dic10C2311yescharacteristic
208C22×Dic10C2311yescharacteristic
209C2×C5×C4⋊C4C2311yescharacteristic
210C2×C5×C4⋊C4C2311yescharacteristic
211C2×C5×C4⋊C4C2311yescharacteristic
212C2×C5×C4⋊C4C2311yescharacteristic
213C2×C5×C4⋊C4C2311yescharacteristic
214C2×C5×C4⋊C4C2311yescharacteristic
215C2×C5×C4⋊C4C2311yescharacteristic
216C2×C5×C4⋊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×C42×C5C2311yescharacteristic
229C2×C42×C5C2311yescharacteristic
230C2×C22⋊Dic5C2311yescharacteristic
231C2×C22⋊Dic5C2311yescharacteristic
232C2×C22⋊Dic5C2311yescharacteristic
233C2×C22⋊Dic5C2311yescharacteristic
234C2×C22⋊Dic5C2311yescharacteristic
235C2×C22⋊Dic5C2311yescharacteristic
236C2×C22⋊Dic5C2311yescharacteristic
237C2×C22⋊Dic5C2311yescharacteristic
238C2×C22⋊Dic5C2311yescharacteristic
239C2×C22⋊Dic5C2311yescharacteristic
240C2×C22⋊Dic5C2311yescharacteristic
241#4083—42no—
242C2×#685C2311yescharacteristic
243C2×#685C2311yescharacteristic
244C2×#685C2311yescharacteristic
245C2×#685C2311yescharacteristic
246C2×#685C2311yescharacteristic
247C2×#685C2311yescharacteristic
248C2×#685C2311yescharacteristic
249C2×#685C2311yescharacteristic
250C2×#685C2311yescharacteristic
251C2×#685C2311yescharacteristic
252C2×#685C2311yescharacteristic
253C2×#685C2311yescharacteristic
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
258C2×#685C2311yescharacteristic
259C2×#685C2311yescharacteristic
260C2×C4⋊Dic5C2311yescharacteristic
261C2×C4⋊Dic5C2311yescharacteristic
262C2×C4⋊Dic5C2311yescharacteristic
263C2×C4⋊Dic5C2311yescharacteristic
264C2×C4⋊Dic5C2311yescharacteristic
265C2×C4⋊Dic5C2311yescharacteristic
266C2×C4⋊Dic5C2311yescharacteristic
267C2×C4⋊Dic5C2311yescharacteristic
268C2×C4⋊Dic5C2311yescharacteristic
269C2×C4⋊Dic5C2311yescharacteristic
270C2×#683C2311yescharacteristic
271C2×#683C2311yescharacteristic
272C2×#683C2311yescharacteristic
273C2×#683C2311yescharacteristic
274C2×#683C2311yescharacteristic
275C2×#683C2311yescharacteristic
276C2×#683C2311yescharacteristic
277C2×#683C2311yescharacteristic
278C2×#683C2311yescharacteristic
279C2×#683C2311yescharacteristic
280C2×#683C2311yescharacteristic
281C2×#683C2311yescharacteristic
282C2×#683C2311yescharacteristic
283C2×#683C2311yescharacteristic
284C2×#683C2311yescharacteristic
285C2×#683C2311yescharacteristic
286C2×#683C2311yescharacteristic
287C2×#683C2311yescharacteristic
288C2×#683C2311yescharacteristic
289C2×#683C2311yescharacteristic
290C2×C4×Dic5C2311yescharacteristic
291C2×C4×Dic5C2311yescharacteristic
292C2×C4×Dic5C2311yescharacteristic
293C2×C4×Dic5C2311yescharacteristic
294C2×C4×Dic5C2311yescharacteristic
295#4044—42no—
296#4042—24no—
297#4042—42no—
298#4042—42no—
299#4042—42no—
300D5×C4⋊C4—42no—
301D5×C4⋊C4—42no—
302#4031—42no—
303#4029—42no—
304#4029—42no—
305#4029—42no—
306#4027—24no—
307D5×C22⋊C4—24no—
308D5×C22⋊C4—42no—
309#4024—42no—
310#4024—42no—
311#4015—42no—
312C5×#95C2311yescharacteristic
313C5×#95C2311yescharacteristic
314C5×#95C2311yescharacteristic
315C5×#95C2311yescharacteristic
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#2790—51no—
367#2779—51no—
368#2770—51no—
369#2765—51no—
370#2764—51no—
371#2763—51no—
372#2757D511yescharacteristic, complemented
373#2746—51no—
374#2739—51no—
375#2729—51no—
376#2718—51no—
377#2717—51no—
378#2698—51no—
379#2692—51no—
380#2687—51no—
381#2674—51no—
382#2627—51no—
383#2623—51no—
384#2561—51no—
385#2534—51no—
386#2493—51no—
387#2488—51no—
388#2480—51no—
389#2472—51no—
390#2440—51no—
391#2417—51no—
392#2329—51no—
393#2318—51no—
394C2×#385—51no—
395C24×C5C2411yescharacteristic
396C24×C5C2411yescharacteristic
397C23×D5—22no—
398C23×D5—22no—
399C23×D5—22no—
400C23×D5—22no—
401C23×D5—22no—
402C23×D5—41no—
403C23×D5—41no—
404C23×D5C2411yescharacteristic
405C23×D5C2411yescharacteristic
406C2×C5×D4—22no—
407C2×C5×D4—41no—
408C2×C5×D4—41no—
409C22×C4×C5—41no—
410C22×C4×C5—41no—
411C22×C4×C5—41no—
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
424C22×C4×C5C2411yescharacteristic
425C2×C22⋊D5—22no—
426C2×C22⋊D5—22no—
427C2×C22⋊D5—22no—
428C2×C22⋊D5—22no—
429C2×C22⋊D5—41no—
430C2×C22⋊D5—41no—
431C22×Dic5—22no—
432C22×Dic5—22no—
433C22×Dic5—41no—
434C22×Dic5—41no—
435C22×Dic5—41no—
436C22×Dic5—41no—
437C22×Dic5C2411yescharacteristic
438C22×Dic5C2411yescharacteristic
439C22×Dic5C2411yescharacteristic
440C22×Dic5C2411yescharacteristic
441C22×Dic5C2411yescharacteristic
442C22×Dic5C2411yescharacteristic
443C22×Dic5C2411yescharacteristic
444C22×Dic5C2411yescharacteristic
445C22×Dic5C2411yescharacteristic
446C22×Dic5C2411yescharacteristic
447C22×Dic5C2411yescharacteristic
448C22×Dic5C2411yescharacteristic
449C22×Dic5C2411yescharacteristic
450C22×Dic5C2411yescharacteristic
451C2×C4×D5—22no—
452C2×C4×D5—22no—
453C2×C4×D5—22no—
454C2×C4×D5—22no—
455C2×C4×D5—22no—
456C2×C4×D5—22no—
457C2×C4×D5—22no—
458C2×C4×D5—22no—
459C2×C4×D5—22no—
460C2×C4×D5—22no—
461C2×C4×D5—22no—
462C2×C4×D5—41no—
463C2×C4×D5—41no—
464C2×C4×D5—41no—
465C2×C4×D5—41no—
466C2×C4×D5—41no—
467C2×C4×D5—41no—
468C2×C4×D5—41no—
469C2×C4×D5—41no—
470C2×C4×D5—416no—
471C2×C4×D5—41no—
472C2×C4×D5—41no—
473C2×C4×D5—41no—
474C2×C4×D5—41no—
475C2×C4×D5#4114yes—
476C2×Dic10—22no—
477C2×Dic10—22no—
478C2×Dic10—41no—
479C2×Dic10—41no—
480C2×Dic10—41no—
481C2×Dic10—41no—
482C2×Dic10—41no—
483C2×Dic10—41no—
484C2×Dic10—41no—
485C5×C4⋊C4—22no—
486C5×C4⋊C4—41no—
487C5×C4⋊C4—41no—
488C5×C4⋊C4—41no—
489C5×C4⋊C4—41no—
490C5×C4⋊C4—41no—
491C5×C4⋊C4—41no—
492C5×C4⋊C4—41no—
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—
501C5×C22⋊C4—41no—
502C5×C22⋊C4—41no—
503C5×C22⋊C4—41no—
504C42×C5—41no—
505C42×C5—41no—
506C22⋊Dic5—22no—
507C22⋊Dic5—22no—
508C22⋊Dic5—22no—
509C22⋊Dic5—41no—
510C22⋊Dic5—41no—
511C22⋊Dic5—41no—
512C22⋊Dic5—41no—
513C22⋊Dic5—41no—
514C22⋊Dic5—41no—
515C22⋊Dic5—41no—
516C22⋊Dic5—41no—
517#685—22no—
518#685—22no—
519#685—22no—
520#685—22no—
521#685—22no—
522#685—22no—
523#685—22no—
524#685—22no—
525#685—22no—
526#685—22no—
527#685—22no—
528#685—22no—
529#685—22no—
530#685—22no—
531#685—41no—
532#685—41no—
533#685—41no—
534#685—41no—
535C4⋊Dic5—22no—
536C4⋊Dic5—22no—
537C4⋊Dic5—41no—
538C4⋊Dic5—41no—
539C4⋊Dic5—41no—
540C4⋊Dic5—41no—
541C4⋊Dic5—41no—
542C4⋊Dic5—41no—
543C4⋊Dic5—41no—
544C4⋊Dic5—41no—
545#683—22no—
546#683—22no—
547#683—22no—
548#683—22no—
549#683—22no—
550#683—41no—
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—22no—
566C4×Dic5—41no—
567C4×Dic5—41no—
568C4×Dic5—41no—
569C4×Dic5—41no—
570C24×C4—51no—
571C2×C4⋊Q8—51no—
572C2×#126—51no—
573C2×#124—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×C22⋊Q8—51no—
582C2×C22⋊Q8—51no—
583C2×#120—51no—
584C2×C4×D4—51no—
585C22×C4⋊C4—51no—
586C22×C4⋊C4—51no—
587C22×C22⋊C4—51no—
588C22×C22⋊C4—51no—
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#399—51no—
600#399—51no—
601#398—51no—
602#398—51no—
603#398—51no—
604#398—51no—
605#398—51no—
606#398—51no—
607#398—51no—
608#398—51no—
609#398—51no—
610#398C2×D511yescharacteristic, complemented
611#397—51no—
612#397—51no—
613#397—51no—
614#397—51no—
615#397—51no—
616#397—51no—
617#397C2×D511yescharacteristic
618#397C2×D511yescharacteristic, complemented
619#397C2×D511yescharacteristic, complemented
620#396—51no—
621#396—51no—
622#396—51no—
623#396—51no—
624#396C2×D511yescharacteristic, complemented
625#395—51no—
626#395—51no—
627#395—51no—
628#395—51no—
629#394—51no—
630#394—51no—
631#394—51no—
632#394C2×D511yescharacteristic
633#393—51no—
634#393—51no—
635#393—51no—
636#393—51no—
637#391—51no—
638#391—51no—
639#391—51no—
640#391—51no—
641#390C2×D511yescharacteristic
642#389—51no—
643#389—51no—
644#389—51no—
645#389—51no—
646#389C2×D511yescharacteristic, complemented
647#388—51no—
648#388—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, complemented
662#387—51no—
663#387—51no—
664#387—51no—
665#387—51no—
666#387—51no—
667#387—51no—
668#387—51no—
669#387—51no—
670#387C2×D511yescharacteristic, complemented
671#386—51no—
672#386—51no—
673#386—51no—
674#386—51no—
675#386—51no—
676#386—51no—
677#386—51no—
678#386C2×D511yescharacteristic
679#385—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#385C2×D511yescharacteristic
698#385C2×D511yescharacteristic
699#384—51no—
700#383—51no—
701#383C2×D511yescharacteristic, complemented
702#382—51no—
703#382—51no—
704#381—51no—
705#381—51no—
706#381—51no—
707#381—51no—
708#381—51no—
709#381—51no—
710#380—51no—
711#380—51no—
712#380—51no—
713#380—51no—
714#380—51no—
715#380—51no—
716#380—51no—
717#379—51no—
718#379—51no—
719#379—51no—
720C4×C22⋊C4—51no—
721C4×C22⋊C4—51no—
722C4×C22⋊C4—51no—
723C2×#95—51no—
724C2×#95—51no—
725C23×C5—21no—
726C23×C5—21no—
727C23×C5—21no—
728C23×C5—21no—
729C23×C5—21no—
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×C52−1+412yes—
739C23×C5C2511yescharacteristic
740C22×D5—21no—
741C22×D5—21no—
742C22×D5—21no—
743C22×D5—21no—
744C22×D5—28no—
745C22×D5—21no—
746C22×D5—21no—
747C22×D5—21no—
748C22×D5—21no—
749C22×D5—21no—
750C22×D5—21no—
751C22×D5—44no—
752C22×D5—44no—
753C22×D5—44no—
754C22×D5—44no—
755C22×D5—44no—
756C22×D5—44no—
757C22×D5C2×#4112yes—
758C22×D5H(5,𝔽2)12yes—
759C22×D5H(5,𝔽2)12yes—
760C22×D52−1+412yes—
761C5×D4—82no—
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—21no—
797C2×C4×C5—21no—
798C2×C4×C5—21no—
799C2×C4×C5—21no—
800C2×C4×C5—44no—
801C2×C4×C5C2×#4112yes—
802C22⋊D5—44no—
803C22⋊D5—82no—
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—44no—
845C2×Dic5—82no—
846C2×Dic5C2×#4112yes—
847C2×Dic5H(5,𝔽2)12yes—
848C4×D5—44no—
849C4×D5—44no—
850C4×D5—44no—
851C4×D5—44no—
852C4×D5—44no—
853C4×D5—44no—
854C4×D5—82no—
855C4×D5—82no—
856Dic10—82no—
857Dic10—82no—
858Dic10—82no—
859C25—51no—
860C22×Q8—51no—
861C22×Q8—51no—
862C22×Q8—51no—
863C22×D4—51no—
864C22×D4—51no—
865C22×D4C22×D511yescharacteristic
866C23×C4—51no—
867C23×C4—51no—
868C23×C4—51no—
869C23×C4—51no—
870C23×C4—51no—
871C23×C4—51no—
872C23×C4—51no—
873C23×C4—51no—
874C23×C4—51no—
875C23×C4—51no—
876C23×C4—202no—
877C23×C4—202no—
878C23×C4—202no—
879C23×C4C22×D511yescharacteristic
880C4⋊Q8—202no—
881#126—202no—
882#124—202no—
883#123—202no—
884#123—202no—
885#123—202no—
886C22⋊Q8—104no—
887C22⋊Q8—202no—
888C22⋊Q8—202no—
889C22⋊Q8—202no—
890C22⋊Q8—202no—
891C22⋊Q8—202no—
892#120—202no—
893C4×D4—104no—
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—202no—
925C2×C4⋊C4—202no—
926C2×C4⋊C4C22×D511yescharacteristic
927C2×C4⋊C4C22×D511yescharacteristic
928C2×C4⋊C4C22×D511yescharacteristic
929C2×C4⋊C4C22×D511yescharacteristic
930C2×C4⋊C4C22×D511yescharacteristic
931C2×C4⋊C4C22×D511yescharacteristic
932C2×C4⋊C4C22×D511yescharacteristic
933C2×C4⋊C4C22×D511yescharacteristic
934C2×C22⋊C4—51no—
935C2×C22⋊C4—51no—
936C2×C22⋊C4—51no—
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—51no—
962C2×C22⋊C4—51no—
963C2×C22⋊C4—104no—
964C2×C22⋊C4—202no—
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×C42—51no—
977C2×C42—51no—
978C2×C42—51no—
979C2×C42—51no—
980C2×C42—51no—
981C2×C42C22×D511yescharacteristic
982C2×C42C22×D511yescharacteristic
983#95—51no—
984#95—51no—
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#95C22×D511yescharacteristic
1024#95C22×D511yescharacteristic
1025#95C22×D511yescharacteristic
1026#95C22×D511yescharacteristic
1027#95C22×D511yescharacteristic
1028#95C22×D511yescharacteristic
1029#95C22×D511yescharacteristic
1030#95C22×D511yescharacteristic
1031#95C22×D511yescharacteristic
1032#95C22×D511yescharacteristic
1033#95C22×D511yescharacteristic
1034#95C22×D511yescharacteristic
1035C22×C5—22no—
1036C22×C5—22no—
1037C22×C5—22no—
1038C22×C5—41no—
1039C22×C5—41no—
1040C22×C5—41no—
1041C22×C5—41no—
1042C22×C5—41no—
1043C22×C5—41no—
1044C22×C5—41no—
1045C22×C5—41no—
1046C22×C5—41no—
1047C22×C5—41no—
1048C22×C5—41no—
1049C22×C5C22×#4111yescharacteristic
1050C22×C5C2×H(5,𝔽2)11yescharacteristic
1051C22×C5C2×H(5,𝔽2)11yescharacteristic
1052C22×C5C2×H(5,𝔽2)11yescharacteristic
1053C22×C5C2×2−1+411yescharacteristic
1054C22×C5C2×2−1+411yescharacteristic
1055C22×C5#58511yescharacteristic
1056C2×D5—22no—
1057C2×D5—22no—
1058C2×D5—22no—
1059C2×D5—22no—
1060C2×D5—22no—
1061C2×D5—22no—
1062C2×D5—22no—
1063C2×D5—22no—
1064C2×D5—22no—
1065C2×D5—416no—
1066C2×D5—41no—
1067C2×D5—41no—
1068C2×D5—41no—
1069C2×D5—41no—
1070C2×D5#54214yes—
1071C4×C5—22no—
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—
1081C4×C5—41no—
1082C4×C5—41no—
1083C4×C5—41no—
1084Dic5—22no—
1085Dic5—22no—
1086Dic5—41no—
1087Dic5—41no—
1088Dic5—41no—
1089Dic5—41no—
1090Dic5—41no—
1091Dic5—41no—
1092Dic5—41no—
1093Dic5—41no—
1094Dic5—41no—
1095Dic5—41no—
1096Dic5—41no—
1097Dic5—41no—
1098C24—51no—
1099C24—51no—
1100C24—102no—
1101C24—102no—
1102C24—102no—
1103C24—102no—
1104C24—102no—
1105C24—201no—
1106C24—201no—
1107C24C23×D511yescharacteristic
1108C24C23×D511yescharacteristic
1109C2×Q8—102no—
1110C2×Q8—102no—
1111C2×Q8—201no—
1112C2×Q8—201no—
1113C2×Q8—201no—
1114C2×Q8—201no—
1115C2×Q8—201no—
1116C2×Q8—201no—
1117C2×Q8—201no—
1118C2×D4—22no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—102no—
1122C2×D4—102no—
1123C2×D4—102no—
1124C2×D4—102no—
1125C2×D4—201no—
1126C2×D4—201no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—51no—
1131C22×C4—51no—
1132C22×C4—54no—
1133C22×C4—51no—
1134C22×C4—51no—
1135C22×C4—51no—
1136C22×C4—51no—
1137C22×C4—51no—
1138C22×C4—51no—
1139C22×C4—51no—
1140C22×C4—51no—
1141C22×C4—51no—
1142C22×C4—51no—
1143C22×C4—51no—
1144C22×C4—51no—
1145C22×C4—102no—
1146C22×C4—102no—
1147C22×C4—102no—
1148C22×C4—102no—
1149C22×C4—102no—
1150C22×C4—102no—
1151C22×C4—102no—
1152C22×C4—102no—
1153C22×C4—102no—
1154C22×C4—102no—
1155C22×C4—102no—
1156C22×C4—102no—
1157C22×C4—102no—
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—201no—
1167C22×C4—201no—
1168C22×C4—201no—
1169C22×C4—201no—
1170C22×C4—2016no—
1171C22×C4—201no—
1172C22×C4—201no—
1173C22×C4—201no—
1174C22×C4—201no—
1175C22×C4C23×D511yescharacteristic
1176C22×C4C23×D511yescharacteristic
1177C22×C4C23×D511yescharacteristic
1178C22×C4C23×D511yescharacteristic
1179C22×C4C23×D511yescharacteristic
1180C22×C4C23×D511yescharacteristic
1181C22×C4C23×D511yescharacteristic
1182C22×C4C23×D511yescharacteristic
1183C22×C4C23×D511yescharacteristic
1184C22×C4C23×D511yescharacteristic
1185C22×C4C23×D511yescharacteristic
1186C22×C4C23×D511yescharacteristic
1187C22×C4C23×D511yescharacteristic
1188C4⋊C4—22no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—102no—
1197C4⋊C4—102no—
1198C4⋊C4—102no—
1199C4⋊C4—102no—
1200C4⋊C4—102no—
1201C4⋊C4—102no—
1202C4⋊C4—102no—
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—
1224C4⋊C4—201no—
1225C4⋊C4—201no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—102no—
1238C22⋊C4—102no—
1239C22⋊C4—102no—
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—102no—
1251C22⋊C4—102no—
1252C22⋊C4—102no—
1253C22⋊C4—102no—
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—
1266C42—41no—
1267C42—41no—
1268C42—102no—
1269C42—201no—
1270C42—201no—
1271C42—201no—
1272C42—201no—
1273C2×C5—42no—
1274C2×C5—81no—
1275C2×C5C2×#54211yescharacteristic
1276C2×C5#349211yescharacteristic
1277C2×C5#350511yescharacteristic
1278C2×C5#353211yescharacteristic
1279C2×C5#353511yescharacteristic
1280C2×C5#353511yescharacteristic
1281C2×C5#353811yescharacteristic
1282D5—24no—
1283D5—42no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—52no—
1298C23—52no—
1299C23—52no—
1300C23—52no—
1301C23—108no—
1302C23—101no—
1303C23—101no—
1304C23—101no—
1305C23—101no—
1306C23—101no—
1307C23—101no—
1308C23—101no—
1309C23—101no—
1310C23—101no—
1311C23—101no—
1312C23—204no—
1313C23—204no—
1314C23—204no—
1315C23—204no—
1316C23—204no—
1317C23—204no—
1318C23#415012yes—
1319C23C24×D511yescharacteristic
1320Q8—402no—
1321Q8—402no—
1322Q8—402no—
1323D4—82no—
1324D4—204no—
1325D4—402no—
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—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—44no—
1365C2×C4—52no—
1366C2×C4—52no—
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—101no—
1404C2×C4—101no—
1405C2×C4—101no—
1406C2×C4—101no—
1407C2×C4—204no—
1408C2×C4—204no—
1409C2×C4—204no—
1410C2×C4—204no—
1411C2×C4—204no—
1412C2×C4—204no—
1413C2×C4—204no—
1414C2×C4—402no—
1415C2×C4—402no—
1416C2×C4—402no—
1417C2×C4D5×#4112yes—
1418C5#3677811yescharacteristic, complemented, Sylow
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—54no—
1434C22—102no—
1435C22—102no—
1436C22—102no—
1437C22—102no—
1438C22—102no—
1439C22—102no—
1440C22—102no—
1441C22—102no—
1442C22—102no—
1443C22—2016no—
1444C22—201no—
1445C22—201no—
1446C22—201no—
1447C22—201no—
1448C22C2×D5×#4111yescharacteristic
1449C22C2×#415011yescharacteristic
1450C22#6628311yescharacteristic
1451C22D5×H(5,𝔽2)11yescharacteristic
1452C22D5×H(5,𝔽2)11yescharacteristic
1453C22D5×H(5,𝔽2)11yescharacteristic
1454C22D5×2−1+411yescharacteristic
1455C4—22no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—102no—
1469C4—102no—
1470C4—201no—
1471C4—201no—
1472C4—201no—
1473C4—201no—
1474C4—201no—
1475C4—201no—
1476C4—201no—
1477C4—201no—
1478C4—201no—
1479C4—201no—
1480C4—201no—
1481C4—201no—
1482C2—42no—
1483C2—81no—
1484C2—104no—
1485C2—202no—
1486C2#1061833611yescharacteristic
1487C2D5×#54211yescharacteristic
1488C2#1061846111yescharacteristic
1489C2#1061872211yescharacteristic
1490C2#1061881011yescharacteristic
1491C2#1061881311yescharacteristic
1492C2#1061898111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2757C2
prime radicalC2×#4083C22
hypercenter#2757D5
hypocenterC5#36778
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2757

Complements

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

NH ≅ G/Ntype
1. C5×#2757C2semidirect
2. #10609707C2semidirect
3. #10609695C2semidirect
4. #10609433C2semidirect
5. #10609417C2semidirect
6. #10609409C2semidirect
7. #10609347C2semidirect
8. #10609300C2semidirect
9. #10609212C2semidirect
10. #10609172C2semidirect
11. #10609016C2semidirect
13. #10608796C2semidirect
14. #10608113C2semidirect
16. #10608006C2semidirect
17. #10607729C2semidirect
18. #10607646C2semidirect
19. #10607621C2semidirect
20. #10607437C2semidirect
21. #10607188C2semidirect
22. #10607136C2semidirect
23. #10607030C2semidirect
25. #10606568C2semidirect
26. #10606386C2semidirect
27. D5×#385C2semidirect
28. #10606307C2semidirect
29. #10606285C2semidirect
30. #10606031C2semidirect
31. #10606015C2semidirect
49. C2×#4024C22semidirect
50. C2×#4015C22semidirect
51. C5×#398C22semidirect
53. C5×#397C22semidirect
54. C5×#397C22semidirect
55. C5×#396C22semidirect
58. C5×#389C22semidirect
60. C5×#388C22semidirect
61. C5×#387C22semidirect
65. C5×#383C22semidirect
81. #65274C22semidirect
82. #65273C22semidirect
83. #65273C22semidirect
84. #65273C22semidirect
85. #65272C22semidirect
86. #65272C22semidirect
87. #65269C22semidirect
88. #65268C22semidirect
89. #65268C22semidirect
90. #65268C22semidirect
91. #65267C22semidirect
92. #65266C22semidirect
93. #65266C22semidirect
94. #65265C22semidirect
95. #65262C22semidirect
96. #65261C22semidirect
107. #65242C22semidirect
112. #65240C22semidirect
115. #65238C22semidirect
116. #65238C22semidirect
119. #65237C22semidirect
122. #65236C22semidirect
125. #65234C22semidirect
127. #65233C22semidirect
128. #65232C22semidirect
130. #65231C22semidirect
131. #65231C22semidirect
136. #65222C22semidirect
137. #65222C22semidirect
138. #65218C22semidirect
163. C5⋊#401C22semidirect
164. #64950C22semidirect
165. #64949C22semidirect
166. #64949C22semidirect
167. #64949C22semidirect
168. #64949C22semidirect
169. #64949C22semidirect
170. #64948C22semidirect
171. #64948C22semidirect
172. #64947C22semidirect
173. #64947C22semidirect
174. #64946C22semidirect
175. #64946C22semidirect
176. #64945C22semidirect
177. #64944C22semidirect
178. #64943C22semidirect
179. #64941C22semidirect
180. #64941C22semidirect
181. #64941C22semidirect
182. #64940C22semidirect
183. #64936C22semidirect
184. #64935C22semidirect
185. #64935C22semidirect
186. #64935C22semidirect
372. #2757D5semidirect
610. #398C2×D5semidirect
618. #397C2×D5semidirect
619. #397C2×D5semidirect
624. #396C2×D5semidirect
646. #389C2×D5semidirect
661. #388C2×D5semidirect
670. #387C2×D5semidirect
701. #383C2×D5semidirect
1418. C5#36778semidirect

Maximal subgroups

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

subgroupindex
C5×#27572
#106097072
#106096952
#106094332
#106094172
#106094092
#106093472
#106093002
#106092122
#106091722
#106090162
#106088502
#106087962
#106081132
#106080612
#106080062
#106077292
#106076462
#106076212
#106074372
#106071882
#106071362
#106070302
#106066672
#106065682
#106063862
D5×#3852
#106063072
#106062852
#106060312
#106060152
#367785