Finite Group Databasebeta

← #12306478

Subgroups — #12306478

Order 1280.

2034 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2449C211yesmaximal, characteristic, complemented
2#10614561C211yesmaximal, characteristic, complemented
3#10614557C211yesmaximal, characteristic, complemented
4#10614520C211yesmaximal, characteristic, complemented
5#10614500C211yesmaximal, characteristic, complemented
6#10614135C211yesmaximal, characteristic, complemented
7#10614058C211yesmaximal, characteristic, complemented
8C2×#65276C211yesmaximal, characteristic, complemented
9#10613904C211yesmaximal, characteristic, complemented
10#10609845C211yesmaximal, characteristic, complemented
11#10609806C211yesmaximal, characteristic, complemented
12#10609726C211yesmaximal, characteristic, complemented
13#10609706C211yesmaximal, characteristic, complemented
14#10609171C211yesmaximal, characteristic, complemented
15#10609166C211yesmaximal, characteristic, complemented
16#10609001C211yesmaximal, characteristic, complemented
17#10608999C211yesmaximal, characteristic, complemented
18#10608005C211yesmaximal, characteristic, complemented
19#10607997C211yesmaximal, characteristic, complemented
20#10607151C211yesmaximal, characteristic, complemented
21#10606911C211yesmaximal, characteristic, complemented
22#10606666C211yesmaximal, characteristic
23#10606516C211yesmaximal, characteristic, complemented
24#10606468C211yesmaximal, characteristic, complemented
25#10606459C211yesmaximal, characteristic, complemented
26#10606386C211yesmaximal, characteristic, complemented
27#10606371C211yesmaximal, characteristic, complemented
28#10606366C211yesmaximal, characteristic, complemented
29#10606334C211yesmaximal, characteristic, complemented
30#10606185C211yesmaximal, characteristic, complemented
31#10606118C211yesmaximal, characteristic, complemented
32C23×C4×D5C2211yescharacteristic
33C2×C5×C22⋊Q8C2211yescharacteristic
34C2×C5×C22⋊Q8C2211yescharacteristic, complemented
35C2×C4×C5×D4C2211yescharacteristic
36C22×C5×C4⋊C4C2211yescharacteristic
37C2×#4093C2211yescharacteristic
38C2×#4085C2211yescharacteristic
39C2×#4083C2211yescharacteristic
40C2×#4075C2211yescharacteristic
41C2×C4×C22⋊D5C2211yescharacteristic
42C22×#685C2211yescharacteristic
43C22×#685C2211yescharacteristic
44C22×C4⋊Dic5C2211yescharacteristic
45C2×#4070C2211yescharacteristic
46C2×#4044C2211yescharacteristic, complemented
47C2×#4042C2211yescharacteristic
48C2×#4042C2211yescharacteristic
49C2×#4042C2211yescharacteristic, complemented
50C2×#4040C2211yescharacteristic
51C2×#4031C2211yescharacteristic
52C2×#4030C2211yescharacteristic
53C2×#4030C2211yescharacteristic
54C2×#4028C2211yescharacteristic
55C2×#4025C2211yescharacteristic, complemented
56C2×#4024C2211yescharacteristic
57C5×#399C2211yescharacteristic, complemented
58C5×#398C2211yescharacteristic, complemented
59C5×#396C2211yescharacteristic, complemented
60C5×#395C2211yescharacteristic, complemented
61C5×#389C2211yescharacteristic, complemented
62C5×#387C2211yescharacteristic, complemented
63C5×#386C2211yescharacteristic
64C5×#386C2211yescharacteristic
65C5×#385C2211yescharacteristic
66C5×#385C2211yescharacteristic
67C5×#385C2211yescharacteristic, complemented
68#65520C2211yescharacteristic
69#65518C2211yescharacteristic, complemented
70#65518C2211yescharacteristic, complemented
71#65509C2211yescharacteristic
72#65509C2211yescharacteristic
73#65502C2211yescharacteristic
74#65502C2211yescharacteristic
75#65502C2211yescharacteristic
76#65502C2211yescharacteristic, complemented
77#65499C2211yescharacteristic
78#65499C2211yescharacteristic
79#65499C2211yescharacteristic, complemented
80C2×#3963C2211yescharacteristic
81C2×#3963C2211yescharacteristic
82#65283C2211yescharacteristic, complemented
83#65283C2211yescharacteristic, complemented
84#65282C2211yescharacteristic
85#65282C2211yescharacteristic
86#65281C2211yescharacteristic
87#65281C2211yescharacteristic
88#65281C2211yescharacteristic, complemented
89#65280C2211yescharacteristic
90#65280C2211yescharacteristic
91#65280C2211yescharacteristic
92#65279C2211yescharacteristic
93#65279C2211yescharacteristic
94#65279C2211yescharacteristic
95#65278C2211yescharacteristic
96#65278C2211yescharacteristic
97#65278C2211yescharacteristic, complemented
98#65278C2211yescharacteristic, complemented
99#65277C2211yescharacteristic
100#65276C2211yescharacteristic
101#65276C2211yescharacteristic
102#65276C2211yescharacteristic
103#65276C2211yescharacteristic
104#65276C2211yescharacteristic
105#65276C2211yescharacteristic
106#65276C2211yescharacteristic
107#65276C2211yescharacteristic
108#65275C2211yescharacteristic, complemented
109#65272C2211yescharacteristic, complemented
110#65272C2211yescharacteristic, complemented
111#65270C2211yescharacteristic, complemented
112#65270C2211yescharacteristic, complemented
113#65269C2211yescharacteristic, complemented
114#65269C2211yescharacteristic, complemented
115#65269C2211yescharacteristic, complemented
116#65268C2211yescharacteristic, complemented
117#65268C2211yescharacteristic, complemented
118#65268C2211yescharacteristic, complemented
119#65267C2211yescharacteristic, complemented
120#65267C2211yescharacteristic, complemented
121#65263C2211yescharacteristic, complemented
122#65262C2211yescharacteristic, complemented
123#65261C2211yescharacteristic, complemented
124#65261C2211yescharacteristic, complemented
125#65250C2211yescharacteristic
126#65250C2211yescharacteristic, complemented
127#65248C2211yescharacteristic
128#65248C2211yescharacteristic
129#65248C2211yescharacteristic
130#65248C2211yescharacteristic, complemented
131#65247C2211yescharacteristic
132#65247C2211yescharacteristic
133#65246C2211yescharacteristic
134#65245C2211yescharacteristic
135#65245C2211yescharacteristic
136#65245C2211yescharacteristic, complemented
137#65244C2211yescharacteristic
138#65244C2211yescharacteristic
139#65242C2211yescharacteristic, complemented
140#65241C2211yescharacteristic, complemented
141#65240C2211yescharacteristic, complemented
142#65237C2211yescharacteristic, complemented
143#65236C2211yescharacteristic, complemented
144#65233C2211yescharacteristic, complemented
145#65231C2211yescharacteristic
146#65231C2211yescharacteristic
147#65231C2211yescharacteristic
148#65231C2211yescharacteristic
149C22⋊C4×Dic5C2211yescharacteristic
150C22⋊C4×Dic5C2211yescharacteristic
151#65229C2211yescharacteristic
152#65229C2211yescharacteristic
153#65229C2211yescharacteristic, complemented
154#65222C2211yescharacteristic, complemented
155#64964C2211yescharacteristic
156#64964C2211yescharacteristic
157#64964C2211yescharacteristic, complemented
158#64963C2211yescharacteristic, complemented
159#64962C2211yescharacteristic
160#64962C2211yescharacteristic, complemented
161#64961C2211yescharacteristic
162#64959C2211yescharacteristic
163#64959C2211yescharacteristic, complemented
164#64958C2211yescharacteristic
165#64958C2211yescharacteristic
166#64957C2211yescharacteristic
167#64957C2211yescharacteristic
168#64956C2211yescharacteristic
169#64956C2211yescharacteristic
170#64956C2211yescharacteristic
171#64956C2211yescharacteristic
172#64954C2211yescharacteristic
173#64954C2211yescharacteristic
174#64954C2211yescharacteristic
175#64949C2211yescharacteristic, complemented
176#64949C2211yescharacteristic, complemented
177#64949C2211yescharacteristic, complemented
178#64948C2211yescharacteristic, complemented
179#64947C2211yescharacteristic, complemented
180#64944C2211yescharacteristic, complemented
181#64943C2211yescharacteristic, complemented
182#64942C2211yescharacteristic, complemented
183#64942C2211yescharacteristic, complemented
184#64941C2211yescharacteristic, complemented
185#64941C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36729—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C22×C5×Q8C2311yescharacteristic
190C22×C5×D4C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C23×C4×C5C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C22×C22⋊D5C2311yescharacteristic
196C22×C22⋊D5C2311yescharacteristic
197C22×C22⋊D5C2311yescharacteristic
198C22×C22⋊D5C2311yescharacteristic
199C23×Dic5C2311yescharacteristic
200C23×Dic5C2311yescharacteristic
201C23×Dic5C2311yescharacteristic
202C22×D20C2311yescharacteristic
203C22×D20C2311yescharacteristic
204C22×C4×D5—24no—
205C22×C4×D5—42no—
206C22×C4×D5—42no—
207C22×C4×D5C2311yescharacteristic
208C22×C4×D5C2311yescharacteristic
209C22×C4×D5C2311yescharacteristic
210C22×C4×D5C2311yescharacteristic
211C22×C4×D5C2311yescharacteristic
212C22×Dic10C2311yescharacteristic
213C22×Dic10C2311yescharacteristic
214C5×C22⋊Q8—42no—
215C5×C22⋊Q8—42no—
216C4×C5×D4—42no—
217C2×C5×C4⋊C4—42no—
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C4⋊C4C2311yescharacteristic
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C4⋊C4C2311yescharacteristic
223C2×C5×C4⋊C4C2311yescharacteristic
224C2×C5×C4⋊C4C2311yescharacteristic
225C2×C5×C4⋊C4C2311yescharacteristic
226C2×C5×C4⋊C4C2311yescharacteristic
227C2×C5×C4⋊C4C2311yescharacteristic
228C2×C5×C4⋊C4C2311yescharacteristic
229C2×C5×C4⋊C4C2311yescharacteristic
230C2×C5×C22⋊C4C2311yescharacteristic
231C2×C5×C22⋊C4C2311yescharacteristic
232C2×C5×C22⋊C4C2311yescharacteristic
233C2×C5×C22⋊C4C2311yescharacteristic
234C2×C5×C22⋊C4C2311yescharacteristic
235C2×C5×C22⋊C4C2311yescharacteristic
236C2×C5×C22⋊C4C2311yescharacteristic
237C2×C5×C22⋊C4C2311yescharacteristic
238C2×C42×C5C2311yescharacteristic
239C2×C22⋊Dic5C2311yescharacteristic
240C2×C22⋊Dic5C2311yescharacteristic
241C2×C22⋊Dic5C2311yescharacteristic
242C2×C22⋊Dic5C2311yescharacteristic
243C2×C22⋊Dic5C2311yescharacteristic
244C2×C22⋊Dic5C2311yescharacteristic
245C2×C22⋊Dic5C2311yescharacteristic
246C2×C22⋊Dic5C2311yescharacteristic
247#4093—42no—
248#4085—24no—
249#4083—42no—
250#4075—42no—
251C4×C22⋊D5—42no—
252C2×#685—42no—
253C2×#685—42no—
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
258C2×#685C2311yescharacteristic
259C2×#685C2311yescharacteristic
260C2×#685C2311yescharacteristic
261C2×#685C2311yescharacteristic
262C2×#685C2311yescharacteristic
263C2×#685C2311yescharacteristic
264C2×#685C2311yescharacteristic
265C2×#685C2311yescharacteristic
266C2×#685C2311yescharacteristic
267C2×#685C2311yescharacteristic
268C2×#685C2311yescharacteristic
269C2×#685C2311yescharacteristic
270C2×#685C2311yescharacteristic
271C2×#685C2311yescharacteristic
272C2×#685C2311yescharacteristic
273C2×#685C2311yescharacteristic
274C2×#685C2311yescharacteristic
275C2×#685C2311yescharacteristic
276C2×#685C2311yescharacteristic
277C2×#685C2311yescharacteristic
278C2×#685C2311yescharacteristic
279C2×#685C2311yescharacteristic
280C2×#685C2311yescharacteristic
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×C4⋊Dic5—42no—
285C2×C4⋊Dic5C2311yescharacteristic
286C2×C4⋊Dic5C2311yescharacteristic
287C2×C4⋊Dic5C2311yescharacteristic
288C2×C4⋊Dic5C2311yescharacteristic
289C2×C4⋊Dic5C2311yescharacteristic
290C2×C4⋊Dic5C2311yescharacteristic
291#4070—42no—
292C2×#683C2311yescharacteristic
293C2×#683C2311yescharacteristic
294C2×#683C2311yescharacteristic
295C2×#683C2311yescharacteristic
296C2×#683C2311yescharacteristic
297C2×#683C2311yescharacteristic
298C2×#683C2311yescharacteristic
299C2×#683C2311yescharacteristic
300C2×#683C2311yescharacteristic
301C2×#683C2311yescharacteristic
302C2×#683C2311yescharacteristic
303C2×#683C2311yescharacteristic
304C2×#683C2311yescharacteristic
305C2×#683C2311yescharacteristic
306C2×#683C2311yescharacteristic
307C2×#683C2311yescharacteristic
308C2×#683C2311yescharacteristic
309C2×#683C2311yescharacteristic
310C2×C4×Dic5C2311yescharacteristic
311C2×C4×Dic5C2311yescharacteristic
312C2×C4×Dic5C2311yescharacteristic
313C2×C4×Dic5C2311yescharacteristic
314C2×C4×Dic5C2311yescharacteristic
315#4044—42no—
316#4042—42no—
317#4042—42no—
318#4042—42no—
319#4040—42no—
320#4031—42no—
321#4030—42no—
322#4030—42no—
323#4028—42no—
324#4025—42no—
325#4024—24no—
326C5×#95C2311yescharacteristic
327C5×#95C2311yescharacteristic
328C5×#95C2311yescharacteristic
329C5×#95C2311yescharacteristic
330C5×#95C2311yescharacteristic
331C5×#95C2311yescharacteristic
332C5×#95C2311yescharacteristic
333C5×#95C2311yescharacteristic
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#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#2848—51no—
371#2847—51no—
372#2747—51no—
373#2747—51no—
374#2742—51no—
375#2742—51no—
376#2741—51no—
377#2741—51no—
378#2717—51no—
379#2717—51no—
380#2702—51no—
381#2702—51no—
382#2692—51no—
383#2692—51no—
384#2691—51no—
385#2691—51no—
386#2672—51no—
387#2672—51no—
388#2659—51no—
389#2639—51no—
390#2481—51no—
391#2481—51no—
392#2472—51no—
393#2472—51no—
394#2449—51no—
395#2449D511yescharacteristic, complemented
396#2418—51no—
397#2418—51no—
398#2329—51no—
399#2325—51no—
400C2×#380—51no—
401C24×C5C2411yescharacteristic
402C24×C5C2411yescharacteristic
403C23×D5—22no—
404C23×D5—22no—
405C23×D5—22no—
406C23×D5—22no—
407C23×D5—22no—
408C23×D5—41no—
409C23×D5—41no—
410C23×D5C2411yescharacteristic
411C23×D5C2411yescharacteristic
412C23×D5C2411yescharacteristic
413C2×C5×Q8—41no—
414C2×C5×Q8—41no—
415C2×C5×Q8—41no—
416C2×C5×D4—22no—
417C2×C5×D4—22no—
418C2×C5×D4—22no—
419C22×C4×C5—22no—
420C22×C4×C5—22no—
421C22×C4×C5—22no—
422C22×C4×C5—22no—
423C22×C4×C5—22no—
424C22×C4×C5—41no—
425C22×C4×C5—41no—
426C22×C4×C5—41no—
427C22×C4×C5—41no—
428C22×C4×C5—41no—
429C22×C4×C5—41no—
430C22×C4×C5—41no—
431C22×C4×C5C2411yescharacteristic
432C22×C4×C5C2411yescharacteristic
433C22×C4×C5C2411yescharacteristic
434C22×C4×C5C2411yescharacteristic
435C22×C4×C5C2411yescharacteristic
436C22×C4×C5C2411yescharacteristic
437C22×C4×C5C2411yescharacteristic
438C22×C4×C5C2411yescharacteristic
439C22×C4×C5C2411yescharacteristic
440C22×C4×C5C2411yescharacteristic
441C22×C4×C5C2411yescharacteristic
442C22×C4×C5C2411yescharacteristic
443C22×C4×C5C2411yescharacteristic
444C2×C22⋊D5—22no—
445C2×C22⋊D5—22no—
446C2×C22⋊D5—22no—
447C2×C22⋊D5—22no—
448C2×C22⋊D5—22no—
449C2×C22⋊D5—22no—
450C2×C22⋊D5—41no—
451C2×C22⋊D5—41no—
452C2×C22⋊D5—41no—
453C2×C22⋊D5—41no—
454C2×C22⋊D5—41no—
455C2×C22⋊D5—41no—
456C22×Dic5—22no—
457C22×Dic5—22no—
458C22×Dic5—41no—
459C22×Dic5—41no—
460C22×Dic5—41no—
461C22×Dic5—41no—
462C22×Dic5—41no—
463C22×Dic5—41no—
464C22×Dic5#4114yes—
465C22×Dic5C2411yescharacteristic
466C22×Dic5C2411yescharacteristic
467C22×Dic5C2411yescharacteristic
468C22×Dic5C2411yescharacteristic
469C22×Dic5C2411yescharacteristic
470C22×Dic5C2411yescharacteristic
471C22×Dic5C2411yescharacteristic
472C22×Dic5C2411yescharacteristic
473C22×Dic5C2411yescharacteristic
474C22×Dic5C2411yescharacteristic
475C22×Dic5C2411yescharacteristic
476C22×Dic5C2411yescharacteristic
477C22×Dic5C2411yescharacteristic
478C2×D20—22no—
479C2×D20—22no—
480C2×D20—41no—
481C2×D20—41no—
482C2×D20—41no—
483C2×D20—41no—
484C2×C4×D5—22no—
485C2×C4×D5—22no—
486C2×C4×D5—22no—
487C2×C4×D5—22no—
488C2×C4×D5—22no—
489C2×C4×D5—22no—
490C2×C4×D5—22no—
491C2×C4×D5—22no—
492C2×C4×D5—41no—
493C2×C4×D5—41no—
494C2×C4×D5—41no—
495C2×C4×D5—41no—
496C2×C4×D5—416no—
497C2×C4×D5—41no—
498C2×C4×D5—41no—
499C2×C4×D5—41no—
500C2×Dic10—22no—
501C2×Dic10—41no—
502C2×Dic10—41no—
503C2×Dic10—41no—
504C2×Dic10—41no—
505C2×Dic10—41no—
506C5×C4⋊C4—22no—
507C5×C4⋊C4—22no—
508C5×C4⋊C4—22no—
509C5×C4⋊C4—22no—
510C5×C4⋊C4—41no—
511C5×C4⋊C4—41no—
512C5×C4⋊C4—41no—
513C5×C4⋊C4—41no—
514C5×C4⋊C4—41no—
515C5×C4⋊C4—41no—
516C5×C4⋊C4—41no—
517C5×C4⋊C4—41no—
518C5×C22⋊C4—22no—
519C5×C22⋊C4—22no—
520C5×C22⋊C4—22no—
521C5×C22⋊C4—22no—
522C5×C22⋊C4—22no—
523C5×C22⋊C4—41no—
524C5×C22⋊C4—41no—
525C5×C22⋊C4—41no—
526C42×C5—41no—
527C22⋊Dic5—22no—
528C22⋊Dic5—22no—
529C22⋊Dic5—22no—
530C22⋊Dic5—22no—
531C22⋊Dic5—41no—
532C22⋊Dic5—41no—
533C22⋊Dic5—41no—
534C22⋊Dic5—41no—
535#685—22no—
536#685—22no—
537#685—22no—
538#685—22no—
539#685—22no—
540#685—22no—
541#685—22no—
542#685—22no—
543#685—22no—
544#685—22no—
545#685—22no—
546#685—41no—
547#685—41no—
548#685—41no—
549#685—41no—
550#685—41no—
551#685—41no—
552#685—41no—
553#685—41no—
554#685—41no—
555#685—41no—
556#685—41no—
557#685—41no—
558#685—41no—
559#685—41no—
560#685—41no—
561#685—41no—
562#685—41no—
563#685—41no—
564#685—41no—
565C4⋊Dic5—22no—
566C4⋊Dic5—22no—
567C4⋊Dic5—22no—
568C4⋊Dic5—41no—
569C4⋊Dic5—41no—
570C4⋊Dic5—41no—
571#683—22no—
572#683—22no—
573#683—22no—
574#683—22no—
575#683—22no—
576#683—41no—
577#683—41no—
578#683—41no—
579#683—41no—
580#683—41no—
581#683—41no—
582#683—41no—
583#683—41no—
584#683—41no—
585#683—41no—
586#683—41no—
587#683—41no—
588#683—41no—
589C4×Dic5—41no—
590C4×Dic5—41no—
591C4×Dic5—41no—
592C4×Dic5—41no—
593C4×Dic5—41no—
594C24×C4—51no—
595C2×#126—51no—
596C2×#126—51no—
597C2×#124—51no—
598C2×#124—51no—
599C2×#123—51no—
600C2×#123—51no—
601C2×C22⋊Q8—51no—
602C2×C22⋊Q8—51no—
603C2×C22⋊Q8—51no—
604C2×C22⋊Q8—51no—
605C2×C22⋊Q8—51no—
606C2×C22⋊Q8C2×D511yescharacteristic
607C2×C22⋊Q8C2×D511yescharacteristic, complemented
608C2×#121—51no—
609C2×#121—51no—
610C2×#121—51no—
611C2×#120—51no—
612C2×#120—51no—
613C2×C4×D4—51no—
614C2×C4×D4C2×D511yescharacteristic
615C22×C4⋊C4—51no—
616C22×C4⋊C4C2×D511yescharacteristic
617C22×C22⋊C4—51no—
618C22×C22⋊C4—51no—
619#400—51no—
620#400—51no—
621#400—51no—
622#400—51no—
623#400—51no—
624#400—51no—
625#399—51no—
626#399—51no—
627#399—51no—
628#399C2×D511yescharacteristic, complemented
629#398—51no—
630#398—51no—
631#398—51no—
632#398—51no—
633#398—51no—
634#398C2×D511yescharacteristic, complemented
635#397—51no—
636#397—51no—
637#397—51no—
638#397—51no—
639#397—51no—
640#397—51no—
641#397—51no—
642#397—51no—
643#396—51no—
644#396—51no—
645#396—51no—
646#396C2×D511yescharacteristic, complemented
647#395—51no—
648#395—51no—
649#395—51no—
650#395—51no—
651#395—51no—
652#395C2×D511yescharacteristic, complemented
653#394—51no—
654#394—51no—
655#394—51no—
656#394—51no—
657#394—51no—
658#394—51no—
659#394—51no—
660#394—51no—
661#394—51no—
662#394—51no—
663#393—51no—
664#393—51no—
665#393—51no—
666#393—51no—
667#391—51no—
668#391—51no—
669#390—51no—
670#390—51no—
671#389—51no—
672#389—51no—
673#389—51no—
674#389C2×D511yescharacteristic, complemented
675#388—51no—
676#388—51no—
677#388—51no—
678#388—51no—
679#388—51no—
680#388—51no—
681#388—51no—
682#388—51no—
683#388—51no—
684#388—51no—
685#388—51no—
686#388—51no—
687#387—51no—
688#387—51no—
689#387—51no—
690#387—51no—
691#387—51no—
692#387—51no—
693#387—51no—
694#387—51no—
695#387—51no—
696#387—51no—
697#387—51no—
698#387C2×D511yescharacteristic, complemented
699#386—51no—
700#386—51no—
701#386—51no—
702#386—51no—
703#386—51no—
704#386—51no—
705#386—51no—
706#386—51no—
707#386—51no—
708#386—51no—
709#386—51no—
710#386—51no—
711#386—51no—
712#386—51no—
713#386C2×D511yescharacteristic
714#386C2×D511yescharacteristic
715#385—51no—
716#385—51no—
717#385—51no—
718#385—51no—
719#385—51no—
720#385—51no—
721#385—51no—
722#385—51no—
723#385—51no—
724#385C2×D511yescharacteristic
725#385C2×D511yescharacteristic
726#385C2×D511yescharacteristic, complemented
727#380—51no—
728#380—51no—
729#380—51no—
730#380—51no—
731#380—51no—
732#380—51no—
733#380—51no—
734#380—51no—
735#380—51no—
736#380—51no—
737#380—51no—
738#380—51no—
739#380—51no—
740#380—51no—
741#380—51no—
742#380—51no—
743#379—51no—
744#379—51no—
745C4×C22⋊C4—51no—
746C4×C22⋊C4—51no—
747C2×#95—51no—
748C2×#95—51no—
749C23×C5—21no—
750C23×C5—21no—
751C23×C5—21no—
752C23×C5—21no—
753C23×C5—21no—
754C23×C5—21no—
755C23×C5—21no—
756C23×C5—21no—
757C23×C5—21no—
758C23×C5—21no—
759C23×C5—21no—
760C23×C5C2×#4112yes—
761C23×C5H(5,𝔽2)12yes—
762C23×C52−1+412yes—
763C23×C5C2511yescharacteristic
764C22×D5—28no—
765C22×D5—21no—
766C22×D5—21no—
767C22×D5—21no—
768C22×D5—21no—
769C22×D5—21no—
770C22×D5—21no—
771C22×D5—21no—
772C22×D5—21no—
773C22×D5—21no—
774C22×D5—21no—
775C22×D5—21no—
776C22×D5—21no—
777C22×D5—21no—
778C22×D5—21no—
779C22×D5—21no—
780C22×D5—21no—
781C22×D5—21no—
782C22×D5—21no—
783C22×D5—21no—
784C22×D5—44no—
785C22×D5—44no—
786C22×D5—44no—
787C22×D5—44no—
788C22×D5—44no—
789C22×D5—44no—
790C22×D5H(5,𝔽2)12yes—
791C22×D52−1+412yes—
792C5×Q8—82no—
793C5×D4—44no—
794C2×C4×C5—28no—
795C2×C4×C5—21no—
796C2×C4×C5—21no—
797C2×C4×C5—21no—
798C2×C4×C5—21no—
799C2×C4×C5—21no—
800C2×C4×C5—21no—
801C2×C4×C5—21no—
802C2×C4×C5—21no—
803C2×C4×C5—21no—
804C2×C4×C5—21no—
805C2×C4×C5—21no—
806C2×C4×C5—21no—
807C2×C4×C5—21no—
808C2×C4×C5—21no—
809C2×C4×C5—21no—
810C2×C4×C5—21no—
811C2×C4×C5—21no—
812C2×C4×C5—21no—
813C2×C4×C5—21no—
814C2×C4×C5—21no—
815C2×C4×C5—21no—
816C2×C4×C5—21no—
817C2×C4×C5—21no—
818C2×C4×C5—21no—
819C2×C4×C5—21no—
820C2×C4×C5—21no—
821C2×C4×C5—21no—
822C2×C4×C5—21no—
823C2×C4×C5—21no—
824C2×C4×C5—21no—
825C2×C4×C5—21no—
826C2×C4×C5—21no—
827C2×C4×C5—21no—
828C2×C4×C5—21no—
829C2×C4×C5—21no—
830C2×C4×C5—21no—
831C2×C4×C5—21no—
832C2×C4×C5—82no—
833C2×C4×C5—82no—
834C2×C4×C5—82no—
835C2×C4×C5H(5,𝔽2)12yes—
836C2×C4×C5H(5,𝔽2)12yes—
837C22⋊D5—44no—
838C22⋊D5—82no—
839C22⋊D5—82no—
840C22⋊D5—82no—
841C2×Dic5—21no—
842C2×Dic5—21no—
843C2×Dic5—21no—
844C2×Dic5—21no—
845C2×Dic5—21no—
846C2×Dic5—21no—
847C2×Dic5—21no—
848C2×Dic5—21no—
849C2×Dic5—21no—
850C2×Dic5—21no—
851C2×Dic5—21no—
852C2×Dic5—21no—
853C2×Dic5—21no—
854C2×Dic5—21no—
855C2×Dic5—21no—
856C2×Dic5—21no—
857C2×Dic5—21no—
858C2×Dic5—21no—
859C2×Dic5—21no—
860C2×Dic5—21no—
861C2×Dic5—21no—
862C2×Dic5—21no—
863C2×Dic5—21no—
864C2×Dic5—21no—
865C2×Dic5—21no—
866C2×Dic5—21no—
867C2×Dic5—21no—
868C2×Dic5—21no—
869C2×Dic5—21no—
870C2×Dic5—21no—
871C2×Dic5—21no—
872C2×Dic5—21no—
873C2×Dic5—21no—
874C2×Dic5—21no—
875C2×Dic5—21no—
876C2×Dic5—21no—
877C2×Dic5—21no—
878C2×Dic5—44no—
879C2×Dic5—82no—
880C2×Dic5—82no—
881C2×Dic5C2×#4112yes—
882C2×Dic5C2×#4112yes—
883D20—82no—
884D20—82no—
885C4×D5—44no—
886C4×D5—44no—
887C4×D5—44no—
888C4×D5—44no—
889C4×D5—82no—
890Dic10—82no—
891Dic10—82no—
892C25—51no—
893C22×Q8—51no—
894C22×Q8—51no—
895C22×Q8C22×D511yescharacteristic
896C22×D4—51no—
897C22×D4—51no—
898C22×D4—51no—
899C22×D4—51no—
900C22×D4—51no—
901C22×D4—51no—
902C22×D4C22×D511yescharacteristic
903C23×C4—51no—
904C23×C4—51no—
905C23×C4—51no—
906C23×C4—51no—
907C23×C4—51no—
908C23×C4—51no—
909C23×C4—51no—
910C23×C4—51no—
911C23×C4—104no—
912C23×C4—202no—
913C23×C4—202no—
914C23×C4C22×D511yescharacteristic
915C23×C4C22×D511yescharacteristic
916C23×C4C22×D511yescharacteristic
917C23×C4C22×D511yescharacteristic
918#126—202no—
919#126—202no—
920#124—202no—
921#124—202no—
922#123—202no—
923#123—202no—
924C22⋊Q8—42no—
925C22⋊Q8—42no—
926C22⋊Q8—104no—
927C22⋊Q8—202no—
928C22⋊Q8—202no—
929C22⋊Q8—202no—
930C22⋊Q8—202no—
931#121—104no—
932#121—202no—
933#121—202no—
934#120—202no—
935#120—202no—
936C4×D4—42no—
937C4×D4—202no—
938C2×C4⋊C4—42no—
939C2×C4⋊C4—51no—
940C2×C4⋊C4—51no—
941C2×C4⋊C4—51no—
942C2×C4⋊C4—51no—
943C2×C4⋊C4—51no—
944C2×C4⋊C4—51no—
945C2×C4⋊C4—51no—
946C2×C4⋊C4—51no—
947C2×C4⋊C4—51no—
948C2×C4⋊C4—51no—
949C2×C4⋊C4—51no—
950C2×C4⋊C4—51no—
951C2×C4⋊C4—51no—
952C2×C4⋊C4—51no—
953C2×C4⋊C4—51no—
954C2×C4⋊C4—51no—
955C2×C4⋊C4—51no—
956C2×C4⋊C4—51no—
957C2×C4⋊C4—51no—
958C2×C4⋊C4—51no—
959C2×C4⋊C4—51no—
960C2×C4⋊C4—51no—
961C2×C4⋊C4—51no—
962C2×C4⋊C4—51no—
963C2×C4⋊C4—202no—
964C2×C4⋊C4C22×D511yescharacteristic
965C2×C4⋊C4C22×D511yescharacteristic
966C2×C4⋊C4C22×D511yescharacteristic
967C2×C4⋊C4C22×D511yescharacteristic
968C2×C4⋊C4C22×D511yescharacteristic
969C2×C4⋊C4C22×D511yescharacteristic
970C2×C4⋊C4C22×D511yescharacteristic
971C2×C4⋊C4C22×D511yescharacteristic
972C2×C4⋊C4C22×D511yescharacteristic
973C2×C4⋊C4C22×D511yescharacteristic
974C2×C4⋊C4C22×D511yescharacteristic
975C2×C4⋊C4C22×D511yescharacteristic
976C2×C22⋊C4—51no—
977C2×C22⋊C4—51no—
978C2×C22⋊C4—51no—
979C2×C22⋊C4—51no—
980C2×C22⋊C4—51no—
981C2×C22⋊C4—51no—
982C2×C22⋊C4—51no—
983C2×C22⋊C4—51no—
984C2×C22⋊C4—51no—
985C2×C22⋊C4—51no—
986C2×C22⋊C4—51no—
987C2×C22⋊C4—51no—
988C2×C22⋊C4—51no—
989C2×C22⋊C4—51no—
990C2×C22⋊C4—51no—
991C2×C22⋊C4—51no—
992C2×C22⋊C4—51no—
993C2×C22⋊C4—51no—
994C2×C22⋊C4—51no—
995C2×C22⋊C4—51no—
996C2×C22⋊C4—51no—
997C2×C22⋊C4—51no—
998C2×C22⋊C4—51no—
999C2×C22⋊C4—51no—
1000C2×C22⋊C4—51no—
1001C2×C22⋊C4—51no—
1002C2×C22⋊C4—51no—
1003C2×C22⋊C4—51no—
1004C2×C22⋊C4—51no—
1005C2×C22⋊C4—51no—
1006C2×C22⋊C4—51no—
1007C2×C22⋊C4—51no—
1008C2×C22⋊C4—51no—
1009C2×C22⋊C4—51no—
1010C2×C22⋊C4—51no—
1011C2×C22⋊C4—51no—
1012C2×C22⋊C4—51no—
1013C2×C22⋊C4—51no—
1014C2×C22⋊C4—202no—
1015C2×C22⋊C4—202no—
1016C2×C22⋊C4C22×D511yescharacteristic
1017C2×C22⋊C4C22×D511yescharacteristic
1018C2×C22⋊C4C22×D511yescharacteristic
1019C2×C22⋊C4C22×D511yescharacteristic
1020C2×C22⋊C4C22×D511yescharacteristic
1021C2×C22⋊C4C22×D511yescharacteristic
1022C2×C22⋊C4C22×D511yescharacteristic
1023C2×C22⋊C4C22×D511yescharacteristic
1024C2×C42—51no—
1025C2×C42—51no—
1026C2×C42—51no—
1027C2×C42—51no—
1028C2×C42—51no—
1029C2×C42C22×D511yescharacteristic
1030#95—51no—
1031#95—51no—
1032#95—51no—
1033#95—51no—
1034#95—51no—
1035#95—51no—
1036#95—51no—
1037#95—51no—
1038#95—51no—
1039#95—51no—
1040#95—51no—
1041#95—51no—
1042#95—51no—
1043#95—51no—
1044#95—51no—
1045#95—51no—
1046#95—51no—
1047#95—51no—
1048#95—51no—
1049#95—51no—
1050#95—51no—
1051#95—51no—
1052#95—51no—
1053#95—51no—
1054#95—51no—
1055#95—51no—
1056#95—51no—
1057#95—51no—
1058#95—51no—
1059#95—51no—
1060#95—51no—
1061#95—51no—
1062#95—51no—
1063#95—51no—
1064#95—51no—
1065#95—51no—
1066#95C22×D511yescharacteristic
1067#95C22×D511yescharacteristic
1068#95C22×D511yescharacteristic
1069#95C22×D511yescharacteristic
1070#95C22×D511yescharacteristic
1071#95C22×D511yescharacteristic
1072#95C22×D511yescharacteristic
1073#95C22×D511yescharacteristic
1074C22×C5—22no—
1075C22×C5—22no—
1076C22×C5—22no—
1077C22×C5—22no—
1078C22×C5—22no—
1079C22×C5—22no—
1080C22×C5—41no—
1081C22×C5—41no—
1082C22×C5—41no—
1083C22×C5—41no—
1084C22×C5—41no—
1085C22×C5—41no—
1086C22×C5—41no—
1087C22×C5#54214yes—
1088C22×C5C22×#4111yescharacteristic
1089C22×C5C2×H(5,𝔽2)11yescharacteristic
1090C22×C5C2×H(5,𝔽2)11yescharacteristic
1091C22×C5C2×H(5,𝔽2)11yescharacteristic
1092C22×C5C2×H(5,𝔽2)11yescharacteristic
1093C22×C5C2×2−1+411yescharacteristic
1094C22×C5C2×2−1+411yescharacteristic
1095C2×D5—22no—
1096C2×D5—22no—
1097C2×D5—22no—
1098C2×D5—22no—
1099C2×D5—22no—
1100C2×D5—22no—
1101C2×D5—416no—
1102C2×D5—41no—
1103C2×D5—41no—
1104C2×D5—41no—
1105C2×D5—41no—
1106C2×D5—41no—
1107C2×D5—41no—
1108C2×D5—41no—
1109C2×D5—41no—
1110C2×D5—41no—
1111C2×D5—41no—
1112C2×D5—41no—
1113C2×D5—41no—
1114C2×D5—41no—
1115C2×D5—41no—
1116C2×D5—41no—
1117C4×C5—22no—
1118C4×C5—22no—
1119C4×C5—41no—
1120C4×C5—41no—
1121C4×C5—41no—
1122C4×C5—41no—
1123C4×C5—41no—
1124C4×C5—41no—
1125C4×C5—41no—
1126C4×C5—41no—
1127C4×C5—41no—
1128C4×C5—41no—
1129C4×C5—41no—
1130Dic5—22no—
1131Dic5—22no—
1132Dic5—41no—
1133Dic5—41no—
1134Dic5—41no—
1135Dic5—41no—
1136Dic5—41no—
1137Dic5—41no—
1138Dic5—41no—
1139Dic5—41no—
1140Dic5—41no—
1141Dic5—41no—
1142Dic5—41no—
1143C24—51no—
1144C24—51no—
1145C24—51no—
1146C24—102no—
1147C24—102no—
1148C24—102no—
1149C24—102no—
1150C24—102no—
1151C24—201no—
1152C24—201no—
1153C24C23×D511yescharacteristic
1154C24C23×D511yescharacteristic
1155C2×Q8—41no—
1156C2×Q8—41no—
1157C2×Q8—41no—
1158C2×Q8—102no—
1159C2×Q8—201no—
1160C2×Q8—201no—
1161C2×Q8—201no—
1162C2×Q8—201no—
1163C2×Q8—201no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—102no—
1168C2×D4—102no—
1169C2×D4—102no—
1170C2×D4—102no—
1171C2×D4—102no—
1172C2×D4—102no—
1173C2×D4—102no—
1174C2×D4—102no—
1175C2×D4—201no—
1176C2×D4—201no—
1177C2×D4—201no—
1178C2×D4—201no—
1179C2×D4—201no—
1180C2×D4—201no—
1181C2×D4—201no—
1182C2×D4—201no—
1183C2×D4—201no—
1184C2×D4—201no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—51no—
1198C22×C4—51no—
1199C22×C4—54no—
1200C22×C4—51no—
1201C22×C4—51no—
1202C22×C4—51no—
1203C22×C4—51no—
1204C22×C4—51no—
1205C22×C4—51no—
1206C22×C4—51no—
1207C22×C4—51no—
1208C22×C4—51no—
1209C22×C4—51no—
1210C22×C4—51no—
1211C22×C4—102no—
1212C22×C4—102no—
1213C22×C4—102no—
1214C22×C4—102no—
1215C22×C4—102no—
1216C22×C4—102no—
1217C22×C4—102no—
1218C22×C4—102no—
1219C22×C4—102no—
1220C22×C4—102no—
1221C22×C4—201no—
1222C22×C4—201no—
1223C22×C4—201no—
1224C22×C4—201no—
1225C22×C4—201no—
1226C22×C4—201no—
1227C22×C4—201no—
1228C22×C4—2016no—
1229C22×C4—201no—
1230C22×C4—201no—
1231C22×C4—201no—
1232C22×C4—201no—
1233C22×C4—201no—
1234C22×C4—201no—
1235C22×C4C23×D511yescharacteristic
1236C22×C4C23×D511yescharacteristic
1237C22×C4C23×D511yescharacteristic
1238C22×C4C23×D511yescharacteristic
1239C22×C4C23×D511yescharacteristic
1240C22×C4C23×D511yescharacteristic
1241C22×C4C23×D511yescharacteristic
1242C22×C4C23×D511yescharacteristic
1243C22×C4C23×D511yescharacteristic
1244C22×C4C23×D511yescharacteristic
1245C22×C4C23×D511yescharacteristic
1246C22×C4C23×D511yescharacteristic
1247C22×C4C23×D511yescharacteristic
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—102no—
1261C4⋊C4—102no—
1262C4⋊C4—102no—
1263C4⋊C4—102no—
1264C4⋊C4—102no—
1265C4⋊C4—102no—
1266C4⋊C4—102no—
1267C4⋊C4—102no—
1268C4⋊C4—201no—
1269C4⋊C4—201no—
1270C4⋊C4—201no—
1271C4⋊C4—201no—
1272C4⋊C4—201no—
1273C4⋊C4—201no—
1274C4⋊C4—201no—
1275C4⋊C4—201no—
1276C4⋊C4—201no—
1277C4⋊C4—201no—
1278C4⋊C4—201no—
1279C4⋊C4—201no—
1280C4⋊C4—201no—
1281C4⋊C4—201no—
1282C4⋊C4—201no—
1283C4⋊C4—201no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—102no—
1293C22⋊C4—102no—
1294C22⋊C4—102no—
1295C22⋊C4—102no—
1296C22⋊C4—102no—
1297C22⋊C4—102no—
1298C22⋊C4—102no—
1299C22⋊C4—102no—
1300C22⋊C4—102no—
1301C22⋊C4—102no—
1302C22⋊C4—102no—
1303C22⋊C4—102no—
1304C22⋊C4—102no—
1305C22⋊C4—102no—
1306C22⋊C4—102no—
1307C22⋊C4—201no—
1308C22⋊C4—201no—
1309C22⋊C4—201no—
1310C22⋊C4—201no—
1311C22⋊C4—201no—
1312C22⋊C4—201no—
1313C22⋊C4—201no—
1314C22⋊C4—201no—
1315C22⋊C4—201no—
1316C22⋊C4—201no—
1317C22⋊C4—201no—
1318C22⋊C4—201no—
1319C22⋊C4—201no—
1320C22⋊C4—201no—
1321C22⋊C4—201no—
1322C22⋊C4—201no—
1323C22⋊C4—201no—
1324C22⋊C4—201no—
1325C22⋊C4—201no—
1326C22⋊C4—201no—
1327C22⋊C4—201no—
1328C22⋊C4—201no—
1329C22⋊C4—201no—
1330C42—41no—
1331C42—201no—
1332C42—201no—
1333C42—201no—
1334C42—201no—
1335C42—201no—
1336C2×C5—24no—
1337C2×C5—81no—
1338C2×C5C2×#54211yescharacteristic
1339C2×C5#349011yescharacteristic
1340C2×C5#349211yescharacteristic
1341C2×C5#353611yescharacteristic
1342C2×C5#353611yescharacteristic
1343C2×C5#353711yescharacteristic
1344C2×C5#353811yescharacteristic
1345D5—42no—
1346D5—42no—
1347D5—81no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—52no—
1360C23—52no—
1361C23—108no—
1362C23—101no—
1363C23—101no—
1364C23—101no—
1365C23—101no—
1366C23—101no—
1367C23—101no—
1368C23—101no—
1369C23—101no—
1370C23—101no—
1371C23—101no—
1372C23—101no—
1373C23—101no—
1374C23—101no—
1375C23—101no—
1376C23—101no—
1377C23—101no—
1378C23—101no—
1379C23—101no—
1380C23—101no—
1381C23—204no—
1382C23—204no—
1383C23—204no—
1384C23—204no—
1385C23—204no—
1386C23—204no—
1387C23#414412yes—
1388C23#414712yes—
1389C23D5×#4112yes—
1390C23C24×D511yescharacteristic
1391Q8—82no—
1392Q8—402no—
1393Q8—402no—
1394D4—44no—
1395D4—204no—
1396D4—402no—
1397D4—402no—
1398D4—402no—
1399D4—402no—
1400D4—402no—
1401C2×C4—28no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—52no—
1440C2×C4—52no—
1441C2×C4—82no—
1442C2×C4—82no—
1443C2×C4—82no—
1444C2×C4—101no—
1445C2×C4—101no—
1446C2×C4—101no—
1447C2×C4—101no—
1448C2×C4—101no—
1449C2×C4—101no—
1450C2×C4—101no—
1451C2×C4—101no—
1452C2×C4—101no—
1453C2×C4—101no—
1454C2×C4—101no—
1455C2×C4—101no—
1456C2×C4—101no—
1457C2×C4—101no—
1458C2×C4—101no—
1459C2×C4—101no—
1460C2×C4—101no—
1461C2×C4—101no—
1462C2×C4—101no—
1463C2×C4—101no—
1464C2×C4—101no—
1465C2×C4—101no—
1466C2×C4—101no—
1467C2×C4—101no—
1468C2×C4—101no—
1469C2×C4—101no—
1470C2×C4—101no—
1471C2×C4—101no—
1472C2×C4—101no—
1473C2×C4—101no—
1474C2×C4—101no—
1475C2×C4—101no—
1476C2×C4—101no—
1477C2×C4—101no—
1478C2×C4—101no—
1479C2×C4—101no—
1480C2×C4—101no—
1481C2×C4—204no—
1482C2×C4—204no—
1483C2×C4—204no—
1484C2×C4—204no—
1485C2×C4—204no—
1486C2×C4—402no—
1487C2×C4—402no—
1488C2×C4—402no—
1489C2×C4#414412yes—
1490C2×C4#414912yes—
1491C5#3672911yescharacteristic, complemented, Sylow
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—102no—
1506C22—102no—
1507C22—102no—
1508C22—102no—
1509C22—102no—
1510C22—102no—
1511C22—2016no—
1512C22—201no—
1513C22—201no—
1514C22—201no—
1515C22—201no—
1516C22—201no—
1517C22—201no—
1518C22—201no—
1519C22—201no—
1520C22—201no—
1521C22—201no—
1522C22—201no—
1523C22—201no—
1524C22—201no—
1525C22—201no—
1526C22—201no—
1527C22#6597414yes—
1528C22C2×#414411yescharacteristic
1529C22C2×#414411yescharacteristic
1530C22C2×#414711yescharacteristic
1531C22C2×D5×#4111yescharacteristic
1532C22C2×#414911yescharacteristic
1533C22D5×H(5,𝔽2)11yescharacteristic
1534C22D5×2−1+411yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—102no—
1549C4—102no—
1550C4—201no—
1551C4—201no—
1552C4—201no—
1553C4—201no—
1554C4—201no—
1555C4—201no—
1556C4—201no—
1557C4—201no—
1558C4—201no—
1559C4—201no—
1560C4—201no—
1561C2—24no—
1562C2—81no—
1563C2—202no—
1564C2—202no—
1565C2—401no—
1566C2C2×#6597411yescharacteristic
1567C2#1061794411yescharacteristic
1568C2#1061833111yescharacteristic
1569C2#1061852411yescharacteristic
1570C2#1061860611yescharacteristic
1571C2#1061866311yescharacteristic
1572C2#1061885311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2449C2
prime radical#10606666C2
hypercenter#2449D5
hypocenterC5#36729
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C5×#2449C2semidirect
2. #10614561C2semidirect
3. #10614557C2semidirect
4. #10614520C2semidirect
5. #10614500C2semidirect
6. #10614135C2semidirect
7. #10614058C2semidirect
8. C2×#65276C2semidirect
9. #10613904C2semidirect
10. #10609845C2semidirect
11. #10609806C2semidirect
12. #10609726C2semidirect
13. #10609706C2semidirect
14. #10609171C2semidirect
15. #10609166C2semidirect
16. #10609001C2semidirect
17. #10608999C2semidirect
18. #10608005C2semidirect
19. #10607997C2semidirect
20. #10607151C2semidirect
21. #10606911C2semidirect
23. #10606516C2semidirect
24. #10606468C2semidirect
25. #10606459C2semidirect
26. #10606386C2semidirect
27. #10606371C2semidirect
28. #10606366C2semidirect
29. #10606334C2semidirect
30. #10606185C2semidirect
31. #10606118C2semidirect
34. C2×C5×C22⋊Q8C22semidirect
46. C2×#4044C22semidirect
49. C2×#4042C22semidirect
55. C2×#4025C22semidirect
57. C5×#399C22semidirect
58. C5×#398C22semidirect
59. C5×#396C22semidirect
60. C5×#395C22semidirect
61. C5×#389C22semidirect
62. C5×#387C22semidirect
67. C5×#385C22semidirect
69. #65518C22semidirect
70. #65518C22semidirect
76. #65502C22semidirect
79. #65499C22semidirect
82. #65283C22semidirect
83. #65283C22semidirect
88. #65281C22semidirect
97. #65278C22semidirect
98. #65278C22semidirect
108. #65275C22semidirect
109. #65272C22semidirect
110. #65272C22semidirect
111. #65270C22semidirect
112. #65270C22semidirect
113. #65269C22semidirect
114. #65269C22semidirect
115. #65269C22semidirect
116. #65268C22semidirect
117. #65268C22semidirect
118. #65268C22semidirect
119. #65267C22semidirect
120. #65267C22semidirect
121. #65263C22semidirect
122. #65262C22semidirect
123. #65261C22semidirect
124. #65261C22semidirect
126. #65250C22semidirect
130. #65248C22semidirect
136. #65245C22semidirect
139. #65242C22semidirect
140. #65241C22semidirect
141. #65240C22semidirect
142. #65237C22semidirect
143. #65236C22semidirect
144. #65233C22semidirect
153. #65229C22semidirect
154. #65222C22semidirect
157. #64964C22semidirect
158. #64963C22semidirect
160. #64962C22semidirect
163. #64959C22semidirect
175. #64949C22semidirect
176. #64949C22semidirect
177. #64949C22semidirect
178. #64948C22semidirect
179. #64947C22semidirect
180. #64944C22semidirect
181. #64943C22semidirect
182. #64942C22semidirect
183. #64942C22semidirect
184. #64941C22semidirect
185. #64941C22semidirect
186. #64935C22semidirect
395. #2449D5semidirect
607. C2×C22⋊Q8C2×D5semidirect
628. #399C2×D5semidirect
634. #398C2×D5semidirect
646. #396C2×D5semidirect
652. #395C2×D5semidirect
674. #389C2×D5semidirect
698. #387C2×D5semidirect
726. #385C2×D5semidirect
1491. C5#36729semidirect

Maximal subgroups

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

subgroupindex
C5×#24492
#106145612
#106145572
#106145202
#106145002
#106141352
#106140582
C2×#652762
#106139042
#106098452
#106098062
#106097262
#106097062
#106091712
#106091662
#106090012
#106089992
#106080052
#106079972
#106071512
#106069112
#106066662
#106065162
#106064682
#106064592
#106063862
#106063712
#106063662
#106063342
#106061852
#106061182
#367295